[0.002855394,0.0033699933,0.0045365207,0.0061302125,0.007946498,0.0098605575,0.011803743,0.013699885,0.015452665,0.016985303,0.018297471,0.019459032,0.020564994,0.021698916,0.023048451,0.02496001,0.027842099,0.03165989,0.035780415,0.03922977,0.041498113,0.042752277,0.04354501,0.044296473,0.045155983,0.046165634,0.047300115,0.0485643,0.04999735,0.05173004,0.053874608,0.05642912,0.05930637,0.06233721,0.06539761,0.06841301,0.07157155,0.07507946,0.07904901,0.083044834,0.08664549,0.08955596,0.09222353,0.09494724,0.09786883,0.10049358,0.1024619,0.10362119,0.1040998,0.10421747,0.10426859,0.1046815,0.10541988,0.10608601,0.10594008,0.10472897,0.10288755,0.1013621,0.10088866,0.101625286,0.103107035,0.1047977,0.10631797,0.107825875,0.10972688,0.1127126,0.11691732,0.121417284,0.124049164,0.122917645,0.1180711,0.11175657,0.106805265,0.104590125,0.10468916,0.10582653,0.10708488,0.10805782,0.10841926,0.107776575,0.10621842,0.104946695,0.10578257,0.10979038,0.11598367,0.12197453,0.12553982,0.1263266,0.12545608,0.12433853,0.12332549,0.12163485,0.11840316,0.11350528,0.10818324,0.104045935,0.10269002,0.10467302,0.10982928,0.11640533,0.122111835,0.124644905,0.12402124,0.1216389,0.11997158,0.12043204,0.1242553,0.13080059,0.13827765,0.14304583,0.14372748,0.14083771,0.13708895,0.13327192,0.12936966,0.12462195,0.1194953,0.11467058,0.11102909,0.10949337,0.111034624,0.11631897,0.12448082,0.13309847,0.13865022,0.13906358,0.13488685,0.12889771,0.12373669,0.120444484,0.11909208,0.11924753,0.12038371,0.121083595,0.12030401,0.11790388,0.11506909,0.112857014,0.111616164,0.111019574,0.11064275,0.110292695,0.109966,0.11004835,0.11092156,0.11284631,0.11564249,0.119495116,0.12489269,0.1322226,0.14026381,0.14641447,0.14809853,0.14498717,0.13901316,0.13282318,0.12758902,0.122924745,0.11798463,0.112896055,0.108549334,0.10579771,0.10471202,0.104841866,0.1055547,0.10635892,0.10691313,0.10735712,0.10838142,0.110930234,0.11533976,0.12054628,0.12450951,0.12540421,0.12331894,0.119902074,0.11727316,0.11642339,0.11751167,0.12029403,0.12424288,0.12814243,0.13024533,0.12954591,0.126339,0.12221032,0.11876866,0.117221236,0.1178936,0.12053426,0.124509566,0.12932193,0.13516092,0.14219116,0.15047704,0.158722,0.16563343,0.16947973,0.16993982,0.16732495,0.16315453,0.15851174,0.15386772,0.14898258,0.1436435,0.13797243,0.13219935,0.12700027,0.12346848,0.12300066,0.12589456,0.13096595,0.13584416,0.13869679,0.13885768,0.13718088,0.13518532,0.13477072,0.13634127,0.13865109,0.13880254,0.1358292,0.13110426,0.12807734,0.12847139,0.13177526,0.13548188,0.13724588,0.13577022,0.1312489,0.12504615,0.118816085,0.113772966,0.11033502,0.10843825,0.10783833,0.10816991,0.10916337,0.110621594,0.11253848,0.114482194,0.115626544,0.115000635,0.11251018,0.10906985,0.10633338,0.105563015,0.10726079,0.110536344,0.113958865,0.11590352,0.11611384,0.1150926,0.11383856,0.11238744,0.11046272,0.10787866,0.10504544,0.102335095,0.09970623,0.097182125,0.09516061,0.094465554,0.09534777,0.09742698,0.09982013,0.10213951,0.10456652,0.107463114,0.11056149,0.11292544,0.114122055,0.11497778,0.11736562,0.12186333,0.12687036,0.12907286,0.12675025,0.12085545,0.11468315,0.11078588,0.11007238,0.11161831,0.11430704,0.116997264,0.119122684,0.12036563,0.12118524,0.122273095,0.12444232,0.12769878,0.1313142,0.13401754,0.13531642,0.13578205,0.13650781,0.137655,0.13826318,0.13711043,0.13356888,0.12787016,0.12073628,0.11363853,0.10813586,0.10542189,0.105267294,0.10664464,0.108225666,0.10936297,0.109919764,0.11024004,0.11072168,0.11161876,0.11295203,0.11466781,0.11702462,0.12024573,0.12404687,0.12725723,0.1288221,0.12854533,0.12711883,0.12487308,0.121561386,0.11691982,0.11163377,0.10693166,0.103884764,0.10285974,0.103766926,0.10612443,0.10918363,0.11198425,0.11394828,0.115064524,0.115882754,0.116923004,0.11863235,0.121476375,0.1260448,0.13222595,0.13869126,0.14317441,0.14435542,0.14259432,0.13953798,0.13622288,0.13268742,0.12849511,0.123673685,0.118834496,0.11464959,0.11159364,0.10956731,0.10812792,0.10665679,0.1049988,0.10339079,0.10231226,0.101922035,0.102217436,0.10302857,0.10427585,0.10578088,0.107291944,0.10849128,0.109001994,0.10861636,0.10738015,0.105997495,0.105451114,0.10672388,0.1100088,0.11482307,0.119787805,0.12316501,0.123155184,0.119253986,0.11266064,0.10593092,0.10119599,0.09918508,0.09929139,0.10052205,0.102074265,0.10336117,0.104021646,0.10386706,0.103062265,0.1018428,0.10057806,0.09947037,0.098764576,0.09884182,0.10049816,0.10482839,0.11199021,0.120806605,0.1286126,0.13357033,0.13507561,0.13406847,0.131157,0.12666525,0.1208028,0.11453421,0.10917742,0.10571164,0.10429137,0.10443277,0.1054351,0.10653127,0.1069898,0.106368035,0.1048936,0.10340103,0.10290346,0.1040217,0.106894344,0.11092159,0.11504436,0.1177674,0.11821762,0.116321,0.11307917,0.10971535,0.107280254,0.106174715,0.106074244,0.10619351,0.105742015,0.10455563,0.103133805,0.10234106,0.102776356,0.104453854,0.10673499,0.10881651,0.11014423,0.110875525,0.111423455,0.112152964,0.112937,0.11371239,0.114818,0.11716959,0.121636,0.12815344,0.13544463,0.14148103,0.14485946,0.14533986,0.14386433,0.14164485,0.13994433,0.13937615,0.13989867,0.14055467,0.14069782,0.14022219,0.13970448,0.13912068,0.13822435,0.13680808,0.1355701,0.13494992,0.134634,0.1332814,0.130204,0.12602061,0.12257863,0.12093841,0.12072899,0.12038983,0.11919698,0.117582135,0.1164814,0.11603755,0.11560574,0.11484764,0.114035934,0.11381679,0.11422691,0.11495427,0.115944505,0.11797163,0.12201005,0.12820137,0.13523455,0.14104617,0.14398032,0.14378928,0.14164008,0.13938682,0.13860457,0.13962409,0.14145046,0.14245528,0.14183359,0.14030421,0.1390248,0.13813563,0.13610774,0.1317954,0.12564737,0.11993038,0.1164243,0.11545557,0.11571608,0.11592253,0.115622185,0.11573521,0.11703205,0.11939318,0.12107023,0.12065063,0.11781046,0.11388836,0.11032298,0.10799343,0.107117124,0.107622124,0.10952145,0.112359665,0.11559235,0.118415095,0.120612524,0.12185515,0.1218656,0.11999176,0.11643952,0.11229221,0.10936209,0.108520366,0.10922336,0.10983605,0.10920837,0.10745672,0.10569147,0.10486671,0.104981564,0.10529498,0.104991674,0.10390308,0.10251538,0.10174331,0.10219426,0.103800744,0.10592353,0.10815969,0.11059601,0.11305132,0.1144918,0.113550544,0.11035397,0.106538534,0.104101814,0.10337717,0.10338127,0.10288963,0.1015745,0.09979672,0.098081596,0.0968763,0.09647957,0.09704206,0.098465435,0.10051643,0.102842785,0.105083965,0.10686085,0.10821106,0.10942438,0.11100944,0.11279074,0.114248686,0.11450266,0.11332426,0.11099461,0.10839335,0.10647955,0.10574803,0.10620091,0.10709078,0.10779828,0.10759124,0.10623706,0.103708796,0.10066336,0.098036535,0.09648442,0.09602862,0.09613306,0.096622705,0.09770479,0.09983345,0.1028403,0.10611525,0.10912026,0.11176755,0.1138603,0.11450765,0.11268047,0.108492434,0.103460394,0.09954244,0.09758062,0.097238004,0.09745886,0.09751574,0.09714448,0.09657546,0.096092425,0.09589393,0.09599409,0.09643105,0.09716033,0.098139286,0.09914011,0.100080095,0.100828566,0.10138622,0.10161554,0.10171165,0.101970546,0.102847904,0.1042012,0.10562306,0.10656465,0.10709397,0.10753753,0.108204335,0.10892788,0.109387465,0.109475374,0.10943023,0.10951537,0.10982778,0.11050745,0.11220759,0.115686394,0.1207965,0.12576725,0.12813862,0.12669685,0.12221124,0.1167196,0.11181604,0.1082649,0.1061326,0.10528538,0.10543468,0.10622117,0.10736399,0.10850515,0.109299995,0.10962951,0.110253096,0.112313,0.11647954,0.1217913,0.12632562,0.12807226,0.12631562,0.12157603,0.115654916,0.11046239,0.10732654,0.106095456,0.10578547,0.105273046,0.104242735,0.10305218,0.10247529,0.103004366,0.104765095,0.10742369,0.11051426,0.11335167,0.115276955,0.11578822,0.1148177,0.1126078,0.109608434,0.10642904,0.103699856,0.101801306,0.10061112,0.09980828,0.09921085,0.09906227,0.09966608,0.101691015,0.105748914,0.11276031,0.12170213,0.13027985,0.13471226,0.13407826,0.12962088,0.12446266,0.11975408,0.11528283,0.11058786,0.10640802,0.1042504,0.104583286,0.10662922,0.10836468,0.10844692,0.10653442,0.10376856,0.10139402,0.1004537,0.10103551,0.10286334,0.10531754,0.10825527,0.11159376,0.11515299,0.11769765,0.11780634,0.11465458,0.10931454,0.10378292,0.09989975,0.098027356,0.09754362,0.09751003,0.09740753,0.09706819,0.0965041,0.0957995,0.095100105,0.09480057,0.0954028,0.09732645,0.10029587,0.10361836,0.1066468,0.10948836,0.11210856,0.11378939,0.113099284,0.109777756,0.10520413,0.10164675,0.10014531,0.10015249,0.10044407,0.100329556,0.099851064,0.09921197,0.098745376,0.09896872,0.1008248,0.10481357,0.11028988,0.11502076,0.11656498,0.11386324,0.10825228,0.10225584,0.09787783,0.09557109,0.09479958,0.09489512,0.09546705,0.09623008,0.096969165,0.09753709,0.098166265,0.099323235,0.10166358,0.10525051,0.10941022,0.112983026,0.11533907,0.116647,0.117169745,0.11683566,0.11541837,0.11352887,0.11216951,0.112101756,0.11299623,0.11408603,0.11471488,0.11476859,0.11436703,0.11357382,0.11243343,0.11093769,0.109302185,0.10773486,0.10682177,0.10723552,0.10970384,0.11424387,0.12019748,0.12635958,0.13140316,0.13390301,0.13272923,0.12787388,0.120955676,0.11436329,0.10973883,0.10718391,0.10600093,0.10558215,0.10574776,0.10635116,0.10719705,0.10813987,0.109182715,0.110272534,0.1111308,0.111391135,0.11091614,0.110225566,0.110304564,0.112156056,0.115718655,0.11990088,0.12328601,0.12560129,0.12767543,0.13001518,0.13174959,0.13107596,0.12756096,0.122472435,0.11802098,0.11510246,0.11345461,0.112269424,0.111428015,0.11100335,0.11096332,0.11079291,0.11015895,0.10899866,0.10768851,0.106672585,0.10656615,0.107908756,0.11077603,0.114202015,0.116345264,0.115609296,0.11189131,0.10684652,0.10264227,0.10050405,0.10010046,0.10033035,0.1003261,0.09992372,0.09939507,0.09898437,0.098729976,0.098458104,0.09798024,0.097229265,0.09634747,0.095570944,0.09525221,0.09592558,0.09837198,0.10274306,0.10798758,0.111917056,0.11311082,0.111979455,0.110518605,0.11042693,0.11190591,0.113717794,0.11406315,0.11183179,0.10730141,0.10212072,0.09821546,0.09649804,0.09652835,0.09696891,0.09674677,0.095469944,0.093580306,0.0916406,0.090132505,0.0892784,0.08947602,0.09118363,0.09457911,0.09920054,0.1040706,0.10856184,0.1124093,0.11562104,0.117404215,0.11687175,0.11343423,0.10805309,0.10229682,0.09778464,0.09497272,0.09363723,0.09316031,0.0931349,0.093225725,0.09315256,0.09274074,0.09211791,0.09164616,0.09169176,0.092445575,0.09420032,0.09735199,0.102118574,0.10767377,0.11244779,0.114899315,0.11499297,0.114022635,0.11400501,0.11622747,0.12055061,0.12517934,0.12736519,0.12510774,0.11832223,0.10911613,0.10020152,0.09357173,0.08976848,0.08834044,0.08836954,0.08889849,0.0893322,0.089872815,0.09158564,0.09565932,0.10195723,0.108576894,0.112846375,0.113570295,0.11160984,0.10871732,0.10589,0.10319694,0.100960754,0.09971616,0.09978202,0.10018005,0.09979132,0.097872525,0.09497439,0.091828436,0.0892388,0.087374575,0.086294435,0.08573458,0.08554118,0.08581463,0.08724315,0.09085525,0.09689001,0.10388132,0.10886886,0.10950673,0.105877124,0.1002813,0.09528143,0.09194573,0.09005376,0.08899239,0.08847734,0.08844941,0.08882666,0.08950192,0.09020985,0.09075142,0.09093901,0.090925336,0.09104409,0.091959506,0.094287924,0.09845621,0.103855886,0.10912249,0.112484425,0.11346971,0.112645365,0.11121931,0.109280236,0.106410116,0.10227572,0.0977478,0.09395012,0.09149489,0.08995048,0.08867955,0.08743685,0.08652187,0.08626431,0.08666769,0.0874457,0.08829052,0.08920229,0.090497285,0.09257808,0.09543713,0.09848493,0.10102493,0.10302026,0.10532248,0.10861522,0.11218535,0.11384078,0.11168385,0.10595155,0.09901497,0.0935384,0.090630956,0.08972726,0.08964985,0.08964974,0.089586385,0.08963293,0.08988971,0.09033056,0.0907862,0.09124199,0.0917385,0.09247983,0.09347441,0.09467187,0.09586,0.0971004,0.09861808,0.10078543,0.10345977,0.10602679,0.10766477,0.10829833,0.108742125,0.11010262,0.112831056,0.11641496,0.11984688,0.122035556,0.122140504,0.11995009,0.11618963,0.112112105,0.108610205,0.10567675,0.10299478,0.10049635,0.09862151,0.09767014,0.097689144,0.09846333,0.10001419,0.102199085,0.10471603,0.10683545,0.108593665,0.110376626,0.11277184,0.11476689,0.11491501,0.11207954,0.10726587,0.10226258,0.09869204,0.096755624,0.095954634,0.09566169,0.09560301,0.09567223,0.095778435,0.095734596,0.09544317,0.09485198,0.094094686,0.09331808,0.09292013,0.09343168,0.095419265,0.09881785,0.10285819,0.10631051,0.10873031,0.11061877,0.11353519,0.11868596,0.12670167,0.13623182,0.14468038,0.1482433,0.14501272,0.1352352,0.12283828,0.112739675,0.1103443,0.11723888,0.13069944,0.14414994,0.15323265,0.15806283,0.16084372,0.16062571,0.1534185,0.13799304,0.118812345,0.10331827,0.09543692,0.09442095,0.09693733,0.10041964,0.103203565,0.10416004,0.102758326,0.09978353,0.09848425,0.10354603,0.12001588,0.14691879,0.1765724,0.19511394,0.1949786,0.17794883,0.15518254,0.13530238,0.12134544,0.111278445,0.103580534,0.09834377,0.09611633,0.0966872,0.09910368,0.10230544,0.105253465,0.106818706,0.10605633,0.10316768,0.099924244,0.09908866,0.10214392,0.10900891,0.11837032,0.1295249,0.1402723,0.14688057,0.14458317,0.13320713,0.11728952,0.104104735,0.0975771,0.097818434,0.10188744,0.106655955,0.10955674,0.11064282,0.11306835,0.12210264,0.13947983,0.16176055,0.18170707,0.19669443,0.20829953,0.21994616,0.22863859,0.22831945,0.21350859,0.18613447,0.15344971,0.12454841,0.10491062,0.094793536,0.09089977,0.08951572,0.08869791,0.088064104,0.08782939,0.08816209,0.08900047,0.09057354,0.09361917,0.09988246,0.11060533,0.12537163,0.14092968,0.15352191,0.1607324,0.16225399,0.15834111,0.14899994,0.1355641,0.1209684,0.108988546,0.10113329,0.09673431,0.09398053,0.092113554,0.09135822,0.092681326,0.09743035,0.10730178,0.123135604,0.14236744,0.1592604,0.16821617,0.16976231,0.17084755,0.17919983,0.19608964,0.21392293,0.2222778,0.21454036,0.19364844,0.16986175,0.1555829,0.1567995,0.17087103,0.18855023,0.20215088,0.20710136,0.20304243,0.1899786,0.17159416,0.1542085,0.1468157,0.15308934,0.16958041,0.18542005,0.19182123,0.18582582,0.17183542,0.15520246,0.14006515,0.12874575,0.12334191,0.1248532,0.13230479,0.14274104,0.15235554,0.15713716,0.15439284,0.14432742,0.13114557,0.12078193,0.11756929,0.12128178,0.12793165,0.13224865,0.13143219,0.12622528,0.11983342,0.11493936,0.11223582,0.11108216,0.11104727,0.113101654,0.11870744,0.1297497,0.14660399,0.16926865,0.19460112,0.21790844,0.2312872,0.22937484,0.21124125,0.18333422,0.15459466,0.13217287,0.118182056,0.11102217,0.108020484,0.10718783,0.10782111,0.11017073,0.114900745,0.12209544,0.13044073,0.13739048,0.14073135,0.14072217,0.14080958,0.14594056,0.15852822,0.17585254,0.190202,0.19435732,0.1861108,0.1706279,0.1555435,0.14668202,0.1445359,0.14692591,0.15014417,0.1514739,0.14857711,0.14248295,0.13719694,0.13846162,0.14783584,0.16176544,0.17493556,0.18560587,0.19512165,0.20321678,0.20641886,0.20106302,0.1875097,0.16994166,0.15378463,0.14354332,0.14120641,0.14508288,0.14975995,0.14906555,0.14056738,0.12694477,0.11380247,0.10509211,0.10145613,0.10110558,0.10211924,0.10354211,0.105401784,0.108700834,0.115091555,0.12591149,0.14016457,0.15392894,0.16213794,0.16254847,0.15716624,0.15079643,0.14693528,0.14907993,0.16380882,0.2034409,0.27567157,0.3719916,0.46313253,0.51671106,0.5183851,0.4821228,0.43616414,0.40132174,0.37842473,0.35488722,0.32098186,0.2796434,0.24275817,0.21966143,0.21083277,0.21049525,0.21363868,0.21891516,0.22702521,0.23645507,0.24318439,0.24281733,0.23545377,0.22588678,0.22112882,0.2255953,0.24079092,0.2666175,0.30233112,0.34289575,0.3779666,0.39512196,0.39019895,0.37130877,0.35563728,0.3556088,0.37057653,0.3867428,0.38930607,0.37250805,0.34247494,0.31009206,0.28320387,0.2634739,0.2485156,0.23681106,0.23207267,0.2446994,0.28725192,0.36252773,0.45527276,0.5337942,0.5692144,0.55190414,0.49717748,0.4302754,0.37133923,0.32726696,0.29683015,0.27664208,0.26499406,0.26135656,0.26560834,0.27641213,0.28995156,0.30012462,0.3017219,0.2945685,0.28433272,0.27881232,0.28178182,0.29037726,0.2978256,0.29929805,0.29512358,0.28845158,0.28164712,0.2745531,0.26703116,0.25991777,0.25483313,0.252125,0.25109366,0.25071242,0.25042406,0.25006017,0.24942227,0.24850415,0.247337,0.24629696,0.24561532,0.24539931,0.2453662,0.24509667,0.24450864,0.24398236,0.24445139,0.24615215,0.24942744,0.25466833,0.26411614,0.2780175,0.2937914,0.30438176,0.30503735,0.2952054,0.279735,0.26364824,0.25045595,0.24114688,0.23521478,0.23118894,0.22752066,0.22342516,0.21911441,0.21523005,0.2123635,0.21051271,0.209481,0.20906168,0.20978568,0.211991,0.21588999,0.22109438,0.22821768,0.23686896,0.24475376,0.24636029,0.23824759,0.22178185,0.20365995,0.18977489,0.18217413,0.17877488,0.17698228,0.17531131,0.17378198,0.17275429,0.17251553,0.17357135,0.17727286,0.18604964,0.20096563,0.22016358,0.23853143,0.2511755,0.25575998,0.25209683,0.2412654,0.22449298,0.20525841,0.18764715,0.17554533,0.16969301,0.16861963,0.16967253,0.17100888,0.17181374,0.17205596,0.17203581,0.17236812,0.17400078,0.17726646,0.18153216,0.1851481,0.187936,0.19147046,0.19828218,0.2075698,0.21510838,0.21543051,0.20739909,0.19443233,0.18227027,0.17415772,0.17033695,0.16888559,0.16822982,0.16772525,0.16790915,0.16946901,0.17242557,0.17555767,0.17720556,0.1765651,0.1747335,0.17418511,0.17746584,0.18510997,0.19534528,0.20469141,0.21012342,0.20972352,0.2028367,0.19015832,0.17409374,0.15852475,0.1465983,0.139247,0.13568191,0.13526823,0.1391337,0.14728601,0.15805875,0.1671657,0.17386444,0.18012924,0.18836272,0.19516067,0.19375442,0.18149872,0.16276507,0.14576425,0.13405655,0.12661628,0.12050889,0.11507005,0.111066975,0.10896478,0.108456075,0.10903568,0.11104358,0.11573604,0.124814905,0.1392564,0.15839005,0.18018298,0.20277713,0.22383107,0.24045146,0.24697314,0.23975162,0.21790032,0.1874956,0.15608865,0.13149782,0.1167376,0.111541905,0.11259422,0.116266586,0.119788975,0.122017615,0.12369648,0.12673666,0.13308463,0.14235692,0.15179448,0.15885343,0.16550206,0.17692286,0.19525652,0.21366085,0.22133742,0.21387333,0.20008446,0.19303183,0.19789357,0.20538026,0.20259489,0.18429537,0.15800142,0.13492996,0.121789046,0.11798099,0.120761804,0.12954557,0.14580987,0.16840653,0.19093211,0.2042162,0.20423596,0.19394934,0.18025629,0.16588543,0.15118648,0.13633388,0.12553369,0.12246591,0.12905659,0.14455949,0.16707505,0.19348983,0.21693283,0.22940882,0.2235691,0.200328,0.16726696,0.1365688,0.116766185,0.11120743,0.11830014,0.13307719,0.1490902,0.15964621,0.16288745,0.16011934,0.15464151,0.14640327,0.13507687,0.12138367,0.10904664,0.10121262,0.098525226,0.09915832,0.10114753,0.10477263,0.11241618,0.12733375,0.14973436,0.17707734,0.20366709,0.22465374,0.23434053,0.22944762,0.20982625,0.18208788,0.15536177,0.13645367,0.1262755,0.122294135,0.12189683,0.124348044,0.12990661,0.13942373,0.15108766,0.16073911,0.16171958,0.15212213,0.13523783,0.11930668,0.11020366,0.11017666,0.11737108,0.1273432,0.13448866,0.13384573,0.12515257,0.11200565,0.099920034,0.09225199,0.09045275,0.09507611,0.10505527,0.117507435,0.1274162,0.1330796,0.13559979,0.1384768,0.14108123,0.14066622,0.13394694,0.122226186,0.10987359,0.10259814,0.10400196,0.11373671,0.12747273,0.1386758,0.14306885,0.14012784,0.13263129,0.123095445,0.113186955,0.103740424,0.09606567,0.09103918,0.08911049,0.08975924,0.09243727,0.096640445,0.10261237,0.11068965,0.12032014,0.12933119,0.13464649,0.13457872,0.12970337,0.12271765,0.11653908,0.1138869,0.11658198,0.12499013,0.13649005,0.14627463,0.14993773,0.14730132,0.1424102,0.14132906,0.14656939,0.15525681,0.16020553,0.15706728,0.14838757,0.14168464,0.14255963,0.1496206,0.15757777,0.16055578,0.15645626,0.14540993,0.13059454,0.11577231,0.10451504,0.09839309,0.097985364,0.10393714,0.11642108,0.13322198,0.14904507,0.15836275,0.15882076,0.15213634,0.14223702,0.13322662,0.12912609,0.1322575,0.14214523,0.15344892,0.15970202,0.15585615,0.14283194,0.12519507,0.10942387,0.0991956,0.094942145,0.094177574,0.094063126,0.09294482,0.091320455,0.09135034,0.09583274,0.105243005,0.11734494,0.12756537,0.13410288,0.1391426,0.14879169,0.16702838,0.19187647,0.21477854,0.22638528,0.22259037,0.2061281,0.18258773,0.15713714,0.13336416,0.11456007,0.1022185,0.095784545,0.092904784,0.09225738,0.09447721,0.101794116,0.115522206,0.13444827,0.15416065,0.16952746,0.17691839,0.17593853,0.16790752,0.1547523,0.13848075,0.12199479,0.10863539,0.100639224,0.09775499,0.09775696,0.09811605,0.098379694,0.10054303,0.10864233,0.12457949,0.14670575,0.16841196,0.18389542,0.1895697,0.18736094,0.17997044,0.17130925,0.16267097,0.15547514,0.14963835,0.14608948,0.1439619,0.14131808,0.13496135,0.12436828,0.111973144,0.10183603,0.09599226,0.094234414,0.09529696,0.09892022,0.10519106,0.11376556,0.12349424,0.13401313,0.14602512,0.15929745,0.1711028,0.17709607,0.17607178,0.17092061,0.1667309,0.16489679,0.16217716,0.15353818,0.13778263,0.11900407,0.10331268,0.09423769,0.09111156,0.091117084,0.09175119,0.0923565,0.093749695,0.09773878,0.10471943,0.113783814,0.12242705,0.1302274,0.13665263,0.1412592,0.14057006,0.13353708,0.122429304,0.11411553,0.113963604,0.122595884,0.135058,0.1443216,0.14657092,0.14272873,0.13695954,0.13268836,0.13185711,0.1363892,0.14791179,0.16536313,0.18332212,0.19405057,0.19272041,0.17892535,0.15779439,0.13546447,0.117832385,0.10658873,0.10091589,0.098281056,0.097367264,0.097757846,0.10043939,0.10695472,0.120332696,0.14148514,0.16864438,0.19414099,0.21001871,0.20967405,0.19395304,0.16871558,0.14356236,0.12565055,0.11754104,0.116885446,0.119391054,0.12136238,0.120952666,0.11820775,0.11508616,0.1145939,0.12042806,0.13407663,0.15541111,0.18132983,0.21062422,0.24017434,0.26666644,0.28090706,0.27688053,0.25250053,0.21620572,0.17812844,0.14772238,0.12747873,0.116448134,0.11259604,0.11723626,0.13450988,0.1665426,0.20809193,0.24631469,0.2685323,0.27034786,0.2577354,0.24316077,0.23999731,0.25898877,0.30290064,0.36391088,0.42554453,0.4718406,0.49474862,0.49550304,0.48061812,0.45859766,0.4375278,0.42276207,0.41274676,0.40004095,0.37640235,0.34063613,0.29919985,0.26144668,0.2333622,0.21588813,0.20697741,0.20441137,0.20768124,0.21812026,0.23625715,0.2589778,0.27880195,0.2888395,0.28697392,0.2765012,0.26136905,0.2436657,0.22439145,0.20592737,0.19144718,0.18262786,0.17846173,0.17635673,0.1739421,0.16982044,0.1637461,0.15639669,0.14925808,0.1444997,0.14434741,0.15065846,0.1620877,0.17498912,0.1837328,0.18768002,0.18910694,0.19333388,0.19981255,0.20559765,0.20507097,0.19865827,0.19014652,0.18702336,0.19177194,0.20247436,0.21191905,0.21520697,0.21006627,0.1985953,0.18410778,0.17052902,0.16082908,0.15597774,0.15628581,0.16070276,0.16727191,0.17149024,0.16981184,0.16200441,0.15207638,0.14424016,0.14009781,0.138903,0.14025004,0.1460142,0.1584788,0.17776893,0.19797619,0.21033548,0.20721644,0.19022773,0.16774453,0.15134165,0.14697456,0.1563126,0.17684077,0.20555218,0.23535518,0.25750303,0.26334068,0.25126636,0.22560392,0.19469778,0.16555463,0.142875,0.12830226,0.120999925,0.118519485,0.11814865,0.118533075,0.120365225,0.12651652,0.14098133,0.16556452,0.19721341,0.22662209,0.24411649,0.24539495,0.23682998,0.22944266,0.23051159,0.23584664,0.23424624,0.21777655,0.18928993,0.15966915,0.13839303,0.12801442,0.1254171,0.12768753,0.13545777,0.15225618,0.18006976,0.21485905,0.24609499,0.26236966,0.2593592,0.24328566,0.22619778,0.21794838,0.22061239,0.22997321,0.23935343,0.2442102,0.24320321,0.23953442,0.23916067,0.24774344,0.26450035,0.28094146,0.28577983,0.27501914,0.25547257,0.24070273,0.23882419,0.24931027,0.2660902,0.29013944,0.32910213,0.38765284,0.45460773,0.5056353,0.5213253,0.49921486,0.45412466,0.4037118,0.36347488,0.3432993,0.34959432,0.3779184,0.41298917,0.43330482,0.42606315,0.3940983,0.35343945,0.3230193,0.31465515,0.3297511,0.35774174,0.38286874,0.39137557,0.38196442,0.3665657,0.36464247,0.38996795,0.4398198,0.49405193,0.5263583,0.52263874,0.48834488,0.44326806,0.4057282,0.38487518,0.3798517,0.38553992,0.39692667,0.41285715,0.4374788,0.4751791,0.5227019,0.56474584,0.5818601,0.56356764,0.5159637,0.457435,0.4079417,0.380759,0.3786055,0.39434227,0.41411653,0.424912,0.4206783,0.40542853,0.3896633,0.3854387,0.3993496,0.42735362,0.45469907,0.46467638,0.4508891,0.4230615,0.4020746,0.40853068,0.44983318,0.5153881,0.5792685,0.6172175,0.6178167,0.58982867,0.5509788,0.52022666,0.5055709,0.50389904,0.50231594,0.4915323,0.47561696,0.47416505,0.5078211,0.57900935,0.6634061,0.7214884,0.72493607,0.67522025,0.6013654,0.5375554,0.50294405,0.49834514,0.5177987,0.55715084,0.60998625,0.66171366,0.6938264,0.698581,0.6829464,0.6609363,0.6398394,0.6200928,0.60045916,0.58462244,0.58111924,0.59905386,0.6397722,0.6894455,0.72287744,0.71986437,0.67940515,0.6188897,0.55769086,0.50549847,0.46199346,0.42639562,0.40296552,0.40005097,0.42386886,0.47124985,0.52634734,0.56488436,0.5689361,0.5396305,0.4980304,0.46777046,0.45811284,0.4601103,0.45977315,0.45128426,0.43943188,0.4320308,0.43147042,0.4331076,0.42897037,0.4142697,0.39044106,0.3645699,0.34536567,0.3394207,0.34782454,0.36436602,0.3766267,0.37300146,0.35111976,0.32297102,0.30718076,0.31725803,0.34952247,0.3875601,0.41190866,0.41426674,0.39774618,0.37392142,0.35426828,0.34856892,0.35978743,0.38262352,0.40184462,0.4024117,0.37898576,0.34186205,0.30852363,0.29312453,0.29827514,0.31612536,0.3331499,0.33830282,0.32854566,0.30982125,0.2908121,0.27667594,0.26708788,0.25998023,0.254163,0.24975921,0.24692382,0.24686451,0.25180665,0.26301512,0.2781051,0.29194355,0.30201292,0.3112719,0.3264015,0.3507569,0.3806862,0.40619567,0.41628113,0.40413716,0.37059984,0.32428232,0.27785683,0.24174435,0.21974216,0.20914523,0.20482524,0.20245634,0.19978519,0.19643922,0.19345729,0.19191445,0.19264275,0.19637448,0.20518984,0.21859497,0.23211037,0.23708254,0.2296079,0.21279006,0.19546898,0.1835096,0.17787944,0.17619152,0.17670333,0.17963932,0.18573056,0.19502686,0.20565815,0.21456432,0.21905525,0.2174611,0.21028596,0.19925088,0.18889254,0.184788,0.19163726,0.20788442,0.22525318,0.23306675,0.22684725,0.21109174,0.1947481,0.1832046,0.17590095,0.16966774,0.16279428,0.15579325,0.14999634,0.1467369,0.1477694,0.1540881,0.16591524,0.18007255,0.19333231,0.20177245,0.20607871,0.2065571,0.2044018,0.19689661,0.18399294,0.16779368,0.15399991,0.14574994,0.14287996,0.1429333,0.14442094,0.14761731,0.15308951,0.16087867,0.17033984,0.18099825,0.19225158,0.20373096,0.21541063,0.22804122,0.24050438,0.24925394,0.2493074,0.24017935,0.22594006,0.21312588,0.2046928,0.20037968,0.19739725,0.192927,0.18459725,0.17215681,0.15788479,0.14511126,0.13591874,0.13039096,0.1281091,0.12944694,0.13554989,0.14686944,0.16230132,0.17939626,0.19620912,0.21307968,0.23314542,0.25935236,0.29072738,0.3208188,0.34258088,0.35353675,0.35706487,0.3566854,0.35315898,0.34736848,0.3454758,0.35571074,0.37821805,0.40004066,0.4031944,0.3792734,0.3352375,0.28648463,0.245264,0.2151363,0.193617,0.1774364,0.1660476,0.1608923,0.1629489,0.17098804,0.1819173,0.19254933,0.1999623,0.20216471,0.19832288,0.19043557,0.18203048,0.17663144,0.17511575,0.17667599,0.1792516,0.18098362,0.18001528,0.17569496,0.16877311,0.1612135,0.154608,0.14939308,0.14500603,0.14123721,0.13910124,0.14058894,0.14688286,0.15684873,0.1677665,0.17774469,0.18748991,0.19792785,0.20749415,0.21142666,0.20640625,0.19380908,0.17935546,0.16840856,0.1625302,0.15998572,0.15790768,0.15456717,0.1490081,0.14144282,0.13281427,0.1251535,0.12065065,0.12124896,0.12847738,0.142745,0.16267979,0.18366222,0.19919318,0.20314951,0.19382687,0.17523335,0.15505679,0.14032115,0.13359837,0.1331445,0.13497244,0.13594085,0.13519543,0.13399436,0.1346796,0.13887207,0.14724346,0.15864734,0.17120735,0.18192105,0.18851458,0.18966259,0.18580984,0.17943276,0.17411102,0.17476787,0.18160242,0.19057018,0.19201796,0.18230301,0.16416015,0.14781247,0.13954102,0.14070974,0.14684163,0.15323453,0.15602894,0.15352088,0.14612827,0.13591446,0.12619491,0.1199694,0.1197491,0.12533395,0.134631,0.14373302,0.15031724,0.15271078,0.15030058,0.14260311,0.13146685,0.120580405,0.11357116,0.11153429,0.11326623,0.11686396,0.12106297,0.124979176,0.1280594,0.12983947,0.13053624,0.13093768,0.13169752,0.13280918,0.1339909,0.13767062,0.14899373,0.17217141,0.20291561,0.22816212,0.2341267,0.21804482,0.18961228,0.16255647,0.14407782,0.13330472,0.12626362,0.12098283,0.117905945,0.11763724,0.119535565,0.12228948,0.12545693,0.1302526,0.13712285,0.14480181,0.14973404,0.15129949,0.15122171,0.15327846,0.15755029,0.16145286,0.16092661,0.15391684,0.14181377,0.12815745,0.11731359,0.11097591,0.108764045,0.10855768,0.10880182,0.10871744,0.10861086,0.10949388,0.112375915,0.11762906,0.1248737,0.13347393,0.14215787,0.14892763,0.1515816,0.15065962,0.14997743,0.15512902,0.16769707,0.18294786,0.1913085,0.18570669,0.1667291,0.14222492,0.12126576,0.10831446,0.102642894,0.10092317,0.100623995,0.10047222,0.10036841,0.100796424,0.10320539,0.10948294,0.120095275,0.13296539,0.14435093,0.15298773,0.16067332,0.1699964,0.17977066,0.18610056,0.18566178,0.17823493,0.16539644,0.14909452,0.1319722,0.11739891,0.10805725,0.10408764,0.10340754,0.10356617,0.10318751,0.10236547,0.102001935,0.10320724,0.10629474,0.11021065,0.11288356,0.11247432,0.109018736,0.10413263,0.10054908,0.10048106,0.10588688,0.116206266,0.1283689,0.13684265,0.13920538,0.13804637,0.13967769,0.14784414,0.16103868,0.17462349,0.18415542,0.18712007,0.18210906,0.16973156,0.15325627,0.13766725,0.12663062,0.12025411,0.11628587,0.112380266,0.10794461,0.10346783,0.099874884,0.09768569,0.09756833,0.10023725,0.10620428,0.11436779,0.121695995,0.1248157,0.12257469,0.11716873,0.11184558,0.1085294,0.106669664,0.10525829,0.10388118,0.1031158,0.10319313,0.10377121,0.10414171,0.10390637,0.103212245,0.10249723,0.10228818,0.10327465,0.10630318,0.112511985,0.12161827,0.13190569,0.13990372,0.14389567,0.14418574,0.14283393,0.14062278,0.13718851,0.1328854,0.12929441,0.12821533,0.12887184,0.12942989,0.12811072,0.12524906,0.12141358,0.11722142,0.112697564,0.10878683,0.106464095,0.10656107,0.10867038,0.11298532,0.12013966,0.13110879,0.14360316,0.15314002,0.1548499,0.14902292,0.139522,0.13164349,0.12696181,0.12470612,0.12249168,0.11927417,0.11490404,0.11109356,0.1095942,0.11153532,0.11551237,0.11953134,0.12179942,0.122436725,0.12154838,0.11927295,0.11553823,0.11198923,0.11155823,0.1164818,0.12558621,0.13403617,0.13698687,0.13324781,0.12653033,0.12195629,0.12262231,0.12752843,0.13311422,0.13531476,0.13216417,0.12504844,0.11822187,0.11658699,0.12140799,0.12985593,0.13620389,0.13872163,0.1397434,0.14423446,0.15178752,0.15746719,0.15481775,0.14317583,0.1271082,0.11303752,0.104198284,0.100137986,0.09899104,0.099790744,0.10337172,0.11034737,0.11965916,0.12808202,0.13321595,0.13589936,0.13935183,0.14577878,0.1538545,0.16116725,0.16523996,0.16514546,0.15934165,0.14941017,0.1378839,0.12868927,0.12122694,0.114318766,0.10655636,0.09986827,0.096026935,0.09664891,0.10217559,0.111402474,0.121149,0.12710002,0.12843256,0.12775066,0.12935811,0.13469212,0.14331235,0.15447742,0.1667124,0.17656171,0.17867029,0.17167956,0.15883082,0.14708328,0.13991322,0.13694309,0.13428777,0.1298275,0.12401769,0.11921472,0.11627609,0.11388678,0.110162765,0.10540127,0.101960324,0.10280935,0.10837212,0.11706585,0.1256795,0.13255568,0.13708001,0.1402306,0.14259936,0.14435153,0.14404611,0.13997519,0.13148099,0.12072987,0.11124011,0.10610392,0.10653659,0.112359345,0.122805834,0.13600652,0.14991628,0.16139255,0.1685083,0.16954505,0.16575061,0.15944083,0.1541683,0.15177049,0.15277004,0.15609579,0.15920524,0.15826474,0.15042596,0.13678925,0.12251564,0.11303095,0.11004937,0.11110891,0.11231724,0.111525565,0.1089151,0.10608479,0.10448783,0.10537747,0.11038953,0.121233225,0.13783078,0.15582933,0.16841112,0.17097501,0.16623302,0.16187264,0.16349597,0.16896845,0.17060952,0.16342913,0.1497394,0.13754271,0.1340064,0.14225288,0.16163385,0.18841356,0.21533422,0.2323742,0.23265068,0.21862467,0.2021132,0.19629747,0.20583296,0.22571217,0.24565752,0.25855955,0.26051804,0.2515557,0.23244752,0.20710206,0.18071592,0.15886517,0.14459841,0.13816704,0.13827883,0.14323415,0.15131588,0.15981227,0.16591494,0.16848016,0.16945203,0.17111248,0.17368047,0.174693,0.17329597,0.17112894,0.17192328,0.17736976,0.186589,0.19547199,0.19890542,0.19350488,0.18011016,0.16361165,0.1488216,0.13799016,0.13007718,0.12376645,0.11843023,0.11453375,0.112181276,0.111408226,0.11236462,0.115716256,0.12146279,0.12884384,0.1369357,0.14600779,0.15607983,0.16489659,0.16788279,0.16189261,0.14871798,0.13392957,0.12280822,0.116987914,0.115412444,0.11648936,0.119652025,0.1247704,0.13114046,0.13719714,0.1416812,0.14524513,0.15107502,0.16199012,0.17815499,0.19503891,0.20757423,0.21143396,0.20627123,0.19318587,0.17583652,0.15755528,0.14136435,0.12820071,0.11854399,0.11280825,0.11126745,0.11295194,0.11548624,0.11651265,0.11486428,0.111237146,0.10716023,0.10433384,0.10418197,0.1082493,0.117179155,0.12917638,0.13925473,0.143265,0.14215809,0.14402784,0.15661128,0.18191433,0.21242177,0.23845379,0.25086507,0.24637687,0.22660132,0.2007517,0.18036588,0.17389852,0.18049073,0.19301002,0.20253558,0.2034301,0.19319291,0.17369632,0.14996444,0.12881924,0.11449977,0.10723045,0.10435364,0.10333452,0.103098094,0.1035198,0.104557045,0.1057949,0.106786706,0.107334286,0.10792372,0.109199196,0.11157268,0.11462798,0.117900975,0.121160835,0.12427184,0.12639898,0.12616602,0.12331279,0.11951157,0.11800069,0.12179792,0.13241363,0.14968862,0.16968663,0.18599169,0.19054301,0.18147309,0.16294795,0.14447373,0.13178723,0.12626624,0.124624856,0.12399313,0.12206161,0.11844415,0.11359986,0.10916627,0.10643947,0.10601795,0.10735186,0.109331004,0.11081018,0.11109874,0.11048257,0.10978735,0.11010287,0.11185855,0.11556362,0.1217185,0.13161933,0.14513272,0.16049372,0.17291516,0.17822814,0.17418253,0.16303055,0.14881176,0.13557416,0.12518317,0.11791741,0.11341039,0.11100021,0.109998725,0.109830014,0.11049175,0.1122761,0.115081824,0.11822939,0.12077028,0.12221203,0.12277836,0.123433225,0.12533386,0.12906717,0.13413167,0.1393977,0.1439626,0.14722411,0.14879815,0.14888342,0.15028207,0.15757887,0.17424606,0.19794708,0.2215932,0.2391767,0.25002554,0.25840065,0.2640619,0.26289383,0.24771352,0.22114073,0.19140875,0.17016323,0.16063039,0.16041435,0.16431034,0.17054035,0.17975907,0.19175448,0.20308475,0.20856325,0.20549488,0.1961897,0.18657535,0.18278496,0.18805103,0.2019129,0.21959691,0.23361194,0.23738855,0.23107795,0.22327536,0.22560818,0.24426855,0.2747371,0.30583036,0.32609233,0.33006492,0.3188523,0.2987747,0.2781752,0.2633569,0.25687605,0.2569529,0.26183128,0.2712085,0.28764197,0.31133762,0.3384854,0.3602982,0.36936176,0.3629863,0.34562054,0.3267832,0.31803414,0.32714042,0.35121575,0.37663963,0.38753286,0.37859178,0.35838667,0.34225222,0.3401862,0.35209963,0.37066185,0.390049,0.41153172,0.44271383,0.487987,0.5391212,0.57706827,0.585574,0.5658287,0.534314,0.510035,0.5010741,0.5060383,0.5200598,0.5406681,0.56454915,0.586325,0.5962545,0.58633846,0.5526665,0.5017738,0.44624218,0.40006694,0.3705107,0.35940358,0.36765358,0.39664388,0.4429127,0.49078336,0.51666695,0.50207245,0.44890305,0.37912527,0.32095423,0.29044583,0.2847788,0.29013845,0.29421747,0.29546836,0.30067745,0.31981394,0.35611603,0.4035454,0.44469392,0.4612596,0.44300804,0.39934134,0.35227802,0.32489526,0.32459053,0.3423934,0.35988984,0.362582,0.3474268,0.32329956,0.30398735,0.29969206,0.31133896,0.3322616,0.35099626,0.3586526,0.35166287,0.33633634,0.32384872,0.32617697,0.3487992,0.389214,0.43561956,0.46966624,0.47453788,0.4451873,0.39403793,0.34218717,0.30659938,0.29040512,0.2879403,0.2923341,0.30268997,0.32246706,0.35590208,0.40222475,0.45145312,0.48642027,0.4908869,0.46295628,0.41808665,0.38129473,0.36982796,0.3835353,0.4067807,0.42045012,0.41430548,0.39205244,0.36793184,0.35634705,0.36387983,0.38581645,0.4102169,0.42380333,0.41869965,0.39652705,0.367371,0.34531093,0.34183502,0.363866,0.4117464,0.47770843,0.54196835,0.57747906,0.5623842,0.49660692,0.40307966,0.31465432,0.25354463,0.22408502,0.21793751,0.22589089,0.24295433,0.26628038,0.289736,0.30398527,0.30307373,0.29168913,0.28201807,0.28235132,0.2895821,0.29416358,0.29161474,0.28493,0.2795229,0.27634346,0.27394545,0.271342,0.2691528,0.26648235,0.26078722,0.25052533,0.23794033,0.22749108,0.22144194,0.21780525,0.21259557,0.20400117,0.19371505,0.1847051,0.17898494,0.17652053,0.17683864,0.17977737,0.18658583,0.19920276,0.21850824,0.24196096,0.262323,0.27102068,0.26295468,0.24075593,0.21270709,0.18773061,0.17079961,0.16234916,0.16056752,0.16295779,0.16730113,0.17172688,0.17566335,0.18031888,0.18846641,0.2028125,0.2235909,0.24596517,0.2611179,0.26079014,0.24438216,0.21983705,0.19869258,0.18764879,0.18598531,0.18838863,0.19044478,0.1913796,0.1940685,0.20227718,0.21703894,0.23367031,0.243531,0.23975259,0.2229801,0.20116647,0.18402399,0.17712371,0.17975794,0.18688607,0.1922204,0.19153993,0.18448131,0.17439033,0.16574585,0.16127284,0.16086322,0.16274248,0.16527699,0.16817707,0.17197664,0.17712699,0.18229127,0.1848592,0.1823184,0.1750346,0.16609736,0.15962084,0.157956,0.16104169,0.16682845,0.1723528,0.17475802,0.17265825,0.16704492,0.16099833,0.15796462,0.15997672,0.16651273,0.17513575,0.18306158,0.18937993,0.1955698,0.20434724,0.21689498,0.2310887,0.24212784,0.24554305,0.24036658,0.22966482,0.21823402,0.20982392,0.20572539,0.20548505,0.20750542,0.2099125,0.21104945,0.21027619,0.20822255,0.20610607,0.20524786,0.20672984,0.2122223,0.22398283,0.24479721,0.27591145,0.31523886,0.35518813,0.38567755,0.3996377,0.40010825,0.39802492,0.4048245,0.4223754,0.44340372,0.4562597,0.45184287,0.4247913,0.37509406,0.31065935,0.24741517,0.20366569,0.18981694,0.20370765,0.23204945,0.25708637,0.263553,0.2449829,0.20724648,0.1644107,0.13048394,0.111445725,0.105623096,0.10782481,0.11404998,0.12193797,0.13031231,0.13803166,0.14391577,0.14602882,0.14258738,0.13318317,0.12027041,0.1078682,0.09924538,0.09514455,0.094554804,0.09635649,0.10005277,0.10500828,0.109547205,0.11140174,0.10925054,0.103994645,0.09813642,0.09406948,0.09248152,0.092565365,0.092972875,0.09293149,0.09229983,0.09140133,0.09059451,0.09023277,0.09047797,0.09131067,0.09239172,0.09327853,0.093605615,0.09338289,0.09287772,0.0924106,0.092122026,0.09207871,0.09242362,0.09351555,0.09578502,0.09950617,0.10422831,0.108655296,0.11103932,0.11047021,0.10745022,0.10363776,0.10063273,0.099517584,0.10080364,0.10468712,0.11056749,0.11676055,0.12087902,0.12119809,0.11784678,0.11262416,0.107768774,0.10454264,0.103130974,0.103060186,0.10396925,0.10563755,0.10819271,0.112107046,0.11853645,0.12897022,0.14417179,0.1624884,0.17906375,0.18785448,0.18535955,0.17362814,0.15876889,0.14705949,0.14162286,0.14294617,0.15128161,0.16842175,0.19660817,0.2354089,0.27809072,0.31292388,0.32795933,0.31927574,0.29190445,0.25751942,0.2265747,0.20553,0.19467582,0.19066422,0.1887366,0.18627833,0.18340957,0.181239,0.17908321,0.1743316,0.1649565,0.15208824,0.13935082,0.1302111,0.1254607,0.123792104,0.123647064,0.1250088,0.12915462,0.1368622,0.14718974,0.15752892,0.16626264,0.17403962,0.18364584,0.19644253,0.2110333,0.22365789,0.23134486,0.2331907,0.23029698,0.2263773,0.22581543,0.23318006,0.24738562,0.26511192,0.2809507,0.295011,0.3086609,0.32377303,0.33679068,0.34203306,0.3351619,0.31745812,0.29434523,0.2709162,0.24897139,0.22818144,0.2087468,0.19328783,0.18423355,0.18200015,0.18268849,0.18131082,0.17396188,0.16110796,0.14571418,0.13198811,0.122303836,0.11720588,0.11516612,0.114424296,0.113790095,0.11313545,0.112516604,0.11163113,0.10998398,0.107575215,0.10515646,0.10378667,0.10404778,0.10571748,0.10787042,0.10974371,0.111340575,0.113797374,0.11851736,0.12623157,0.13622245,0.14674868,0.15548211,0.16063036,0.161283,0.15881567,0.15574443,0.15524775,0.1580561,0.16329192,0.16802602,0.17058794,0.17021632,0.1686144,0.16764326,0.16881166,0.17157154,0.17399792,0.17426378,0.17151313,0.16680442,0.16132824,0.15602285,0.15020613,0.14319652,0.1352547,0.12815414,0.1235457,0.12172032,0.12188757,0.123838626,0.12824535,0.13547195,0.14382614,0.14997382,0.15100928,0.14661221,0.13936554,0.13303538,0.13026905,0.13107002,0.1331423,0.1336834,0.13132398,0.1267542,0.12168053,0.117613204,0.11532097,0.11506585,0.11661396,0.11911905,0.1217139,0.123874746,0.12564124,0.12652038,0.12568803,0.12254033,0.11804166,0.11430832,0.11346289,0.11592883,0.120363,0.12459705,0.12746634,0.12892832,0.12949336,0.1288762,0.12655766,0.12232474,0.11705441,0.111923434,0.1079591,0.10561756,0.10515949,0.10684413,0.11080146,0.11650462,0.12235436,0.12640196,0.12738995,0.12563592,0.12237116,0.119188726,0.117442854,0.117928475,0.120606445,0.12447379,0.12884776,0.13279273,0.13525839,0.13403928,0.12837161,0.1194411,0.110610604,0.10435464,0.10143099,0.10107178,0.10254726,0.105698675,0.10995993,0.113885365,0.11506932,0.11230022,0.10630727,0.09966588,0.09459721,0.091878854,0.09088483,0.09078426,0.09136615,0.0928908,0.095357396,0.097980686,0.099598736,0.099768974,0.099347346,0.10025012,0.103950344,0.11054271,0.118161075,0.1243109,0.12692128,0.12548192,0.12063462,0.11381167,0.10670366,0.100829005,0.097217835,0.09617168,0.09780576,0.102039516,0.10855633,0.11608798,0.12272399,0.12628861,0.12564911,0.12124222,0.11524842,0.110030405,0.106657974,0.10436206,0.10185132,0.09875866,0.095810294,0.09390014,0.09322262,0.09365221,0.09522912,0.09849244,0.10346983,0.109389864,0.114632644,0.117938094,0.11872587,0.11716514,0.11385563,0.10974491,0.10598136,0.1034132,0.10235911,0.102663286,0.10379753,0.10503087,0.10552447,0.10495472,0.10353487,0.10191376,0.10058445,0.099796474,0.0995228,0.099568255,0.099686086,0.09981822,0.10022756,0.10138357,0.103469245,0.10618701,0.10871964,0.11054229,0.11190798,0.11403676,0.11768583,0.12233528,0.12625039,0.12852617,0.12962252,0.13066538,0.1316707,0.13179614,0.13043258,0.12798794,0.12528475,0.12289191,0.12109909,0.120246135,0.12048483,0.12158387,0.12278873,0.1235149,0.1234099,0.12252399,0.12083494,0.1184509,0.11552611,0.11246883,0.10968179,0.10765108,0.106913276,0.108098276,0.11147214,0.11643537,0.12166677,0.12591659,0.12895308,0.13123877,0.13315035,0.13460492,0.13572982,0.13750722,0.14103056,0.14655001,0.15287,0.15851448,0.1625643,0.16518219,0.16683376,0.16787092,0.168235,0.16780071,0.16663884,0.16526736,0.16453499,0.16509087,0.16679107,0.16855644,0.16913255,0.16804038,0.16599287,0.16418688,0.16334055,0.16324969,0.16327012,0.1630451,0.1627904,0.1630923,0.16438104,0.16659172,0.16903837,0.17072445,0.1708592,0.1693096,0.16675238,0.16439329,0.16340983,0.16425921,0.16638212,0.16872156,0.17057979,0.1722983,0.17457046,0.17789473,0.18172623,0.18524045,0.18729125,0.18729782,0.18490599,0.18070959,0.17585588,0.17204006,0.17043851,0.17110957,0.17281759,0.17382367,0.17317623,0.1711659,0.16919135,0.16857134,0.1700027,0.17305607,0.17689663,0.18077046,0.18475224,0.18918882,0.19427991,0.1994288,0.20396113,0.207666,0.21146394,0.21671014,0.22467458,0.23565938,0.24897921,0.2625071,0.2734079,0.27921644,0.27958116,0.2766417,0.27382132,0.2745267,0.28011322,0.289694,0.29894355,0.30268204,0.29690048,0.28231028,0.2633422,0.24583001,0.23356368,0.22728838,0.22565238,0.22652143,0.22821629,0.22974326,0.23111095,0.23307489,0.23640849,0.24116887,0.24607879,0.24944197,0.2499916,0.2480136,0.24479765,0.24190158,0.24024677,0.2401616,0.2416877,0.24432947,0.24715601,0.2489224,0.24953909,0.24988554,0.25130352,0.25371417,0.25590587,0.25642642,0.25531068,0.25393727,0.2540426,0.25625575,0.25985965,0.2633144,0.26531124,0.26535797,0.26406023,0.26259568,0.26217213,0.26310703,0.26490393,0.26632297,0.26649514,0.26535013,0.2639804,0.26367632,0.26489913,0.26688895,0.26844707,0.26967815,0.27291003,0.28313777,0.30671346,0.34955895,0.41210008,0.48421916,0.5425177,0.5599307,0.5218898,0.4402708,0.34706065,0.27483067,0.23741324,0.22857054,0.23363465,0.24247499,0.25358203,0.27055946,0.2960726,0.3274599,0.35567918,0.37009105,0.3659334,0.3503691,0.33791485,0.340059,0.35421455,0.36629787,0.36119184,0.3362268,0.30163196,0.2717756,0.25350544,0.24398096,0.23702502,0.22957599,0.22285159,0.21826278,0.21556191,0.2134098,0.21177085,0.2115662,0.2132765,0.21565098,0.21700507,0.2169779,0.21718788,0.21974905,0.22592656,0.2366792,0.2546123,0.2850281,0.3335704,0.400213,0.47281003,0.5263452,0.53423303,0.48536488,0.3950129,0.29576257,0.21795319,0.17368436,0.15831697,0.16049033,0.1709985,0.18348645,0.19311333,0.19631833,0.19273026,0.1849593,0.17683233,0.170954,0.16821085,0.16786973,0.1682272,0.16732769,0.16436464,0.1602524,0.15662889,0.15431185,0.15280694,0.15157497,0.15067093,0.15055855,0.15103643,0.15144454,0.15139003,0.15151481,0.15307657,0.15706874,0.1630732,0.16960289,0.17476101,0.17775731,0.17841369,0.1770733,0.17416191,0.17111802,0.17013681,0.17331475,0.18141074,0.19345461,0.20623666,0.21483658,0.21406102,0.20237009,0.18340917,0.16474873,0.15262133,0.14884792,0.15096878,0.15542202,0.15993534,0.16346003,0.16541325,0.1649859,0.16244543,0.15976311,0.1606917,0.16856556,0.1834514,0.20034839,0.21047057,0.20654805,0.18774341,0.16108395,0.13670273,0.12230981,0.120138764,0.1283748,0.1432033,0.15975684,0.17274952,0.17891665,0.1804769,0.18540715,0.20173664,0.22959279,0.25859758,0.2747164,0.27102864,0.2524667,0.23119949,0.21730144,0.21343087,0.2156681,0.21800889,0.21657471,0.21089756,0.20335323,0.19642793,0.19103374,0.18606238,0.18024962,0.17383708,0.16840172,0.16523544,0.16400124,0.16346173,0.16283894,0.16210894,0.16101407,0.15849794,0.15380485,0.14773297,0.14224648,0.13895993,0.13832217,0.14079766,0.14759491,0.15959,0.1746763,0.18740147,0.1922167,0.1880532,0.179187,0.17174637,0.16908361,0.17096364,0.17522337,0.1802528,0.18505605,0.18909335,0.191249,0.19025081,0.1852123,0.17728859,0.16918021,0.16374522,0.16161008,0.16148555,0.16130151,0.15980935,0.15662986,0.15183155,0.14590289,0.13936175,0.13307242,0.12740548,0.123018056,0.12015235,0.119152635,0.119354896,0.11991268,0.11983329,0.119059026,0.118046634,0.117812075,0.118802756,0.1207289,0.12220019,0.12221529,0.120728575,0.11901032,0.1181569,0.11845133,0.119262666,0.11997863,0.12083271,0.12286552,0.12748165,0.13421382,0.14039095,0.14153014,0.13577332,0.12494916,0.11408517,0.10671222,0.103512906,0.10272717,0.10263819,0.10249713,0.102266766,0.10210753,0.10204205,0.10230619,0.103566796,0.106876224,0.11276429,0.12027981,0.12710482,0.13105585,0.13155757,0.12986554,0.1277374,0.12644176,0.12586494,0.12511307,0.122936435,0.1192166,0.11478039,0.110887885,0.107925035,0.10567049,0.103958465,0.10310867,0.10335372,0.10425329,0.10497442,0.10518157,0.105410196,0.10639144,0.10803596,0.10935673,0.109415,0.10812512,0.10614526,0.10411184,0.10233291,0.10098085,0.10032714,0.10051313,0.10134116,0.10246384,0.10394647,0.10607817,0.10870557,0.110529475,0.11005839,0.10684821,0.10223791,0.09812509,0.095584124,0.09434288,0.093537815,0.0927918,0.09229251,0.09252536,0.09347847,0.09490064,0.09631673,0.097493805,0.09835925,0.09940823,0.101961024,0.10719038,0.11490504,0.12232224,0.12626837,0.12509249,0.12055257,0.11576706,0.11336014,0.11356185,0.11473113,0.11460763,0.111843206,0.10693552,0.101590276,0.09760507,0.095478565,0.09464309,0.09420893,0.09394703,0.09417533,0.095106564,0.09637982,0.09711916,0.09678952,0.095482506,0.094071746,0.093304284,0.09343959,0.09409084,0.09497508,0.09635324,0.0984419,0.10066477,0.10145917,0.09993706,0.09675609,0.09387735,0.09263138,0.09297436,0.093885005,0.094686456,0.09537676,0.09630359,0.09742951,0.098285146,0.09870371,0.09933359,0.10183728,0.10678051,0.11329522,0.11838666,0.12012803,0.117844135,0.113303386,0.10834668,0.10444158,0.101444274,0.098468356,0.094932556,0.09133909,0.08880565,0.08779483,0.087806046,0.08793042,0.08774646,0.08741471,0.087296546,0.08756846,0.08821947,0.08925874,0.090776026,0.09286625,0.0954811,0.098524295,0.10193994,0.105732255,0.10943913,0.11208434,0.11239716,0.11015456,0.10627109,0.10249954,0.099888295,0.09866332,0.098410405,0.09884625,0.09974227,0.10074531,0.10129549,0.10115541,0.100744605,0.10110862,0.102671415,0.1047701,0.105685435,0.104439236,0.1014749,0.09859056,0.09750753,0.09853127,0.10050431,0.101306416,0.09997291,0.097047575,0.09459469,0.09426636,0.09638896,0.100227244,0.10513862,0.112105496,0.122014254,0.13371547,0.14242259,0.14340742,0.1360683,0.12501954,0.11622087,0.112653345,0.1137755,0.11767612,0.12313104,0.12963693,0.1362523,0.14185224,0.1455112,0.14798771,0.15001369,0.15189965,0.15211403,0.14998536,0.14607202,0.14307916,0.14349465,0.14911275,0.15941794,0.1713894,0.17957567,0.17928226,0.16976409,0.15483178,0.13952208,0.12673046,0.11667696,0.10900817,0.1040518,0.10269236,0.10468807,0.10862843,0.112667315,0.11750301,0.12685986,0.14552574,0.17321092,0.20205678,0.22054298,0.22261594,0.21259414,0.20007235,0.19245414,0.19090699,0.19468047,0.20227629,0.21077792,0.21394937,0.20646316,0.1887778,0.16714148,0.14845444,0.13537629,0.12675498,0.120832674,0.11722588,0.116167836,0.11694858,0.117827706,0.11725082,0.114817284,0.11150957,0.108544976,0.106840335,0.10651045,0.107601814,0.11000212,0.1138215,0.119338095,0.1273583,0.1380992,0.15002452,0.15979756,0.16455728,0.16429877,0.16179825,0.16068332,0.16337007,0.17059092,0.18189903,0.1947412,0.20492025,0.20649207,0.19675528,0.17733938,0.15522037,0.13675989,0.12558548,0.12086648,0.120446466,0.1217649,0.123178124,0.12340837,0.12234185,0.12059491,0.119616054,0.12016764,0.12209073,0.124177665,0.12567501,0.12693836,0.12871355,0.13120095,0.13371845,0.13695483,0.14278483,0.15308572,0.16658047,0.17989816,0.18969406,0.19478476,0.19496709,0.19008018,0.18036205,0.16800952,0.15687583,0.15037791,0.14929257,0.15168194,0.15440483,0.15486322,0.15193783,0.14645554,0.14051872,0.13630034,0.13424306,0.13341348,0.13220952,0.1301555,0.12782772,0.12770449,0.13299476,0.14607494,0.16464128,0.18225811,0.19153576,0.19023423,0.18083908,0.16813481,0.15502761,0.14360762,0.13548619,0.13175948,0.13137585,0.13190514,0.13137169,0.12960692,0.1274602,0.1257045,0.124343924,0.12311369,0.12177951,0.120530136,0.11996076,0.12083679,0.12356221,0.12739725,0.13104312,0.13339938,0.13485259,0.1367781,0.14136441,0.15068717,0.16495214,0.18058516,0.19128133,0.19346078,0.18933009,0.18360128,0.17717065,0.16664612,0.15031208,0.13168077,0.116832584,0.10880574,0.10674933,0.10831205,0.11198452,0.11651563,0.1203275,0.12209359,0.12237469,0.12321811,0.12601903,0.12978165,0.13212793,0.13219516,0.13132794,0.13197158,0.13591914,0.14500006,0.16040748,0.18092006,0.20034723,0.21082836,0.20726186,0.19195323,0.17131136,0.1527921,0.13979734,0.13289674,0.13027693,0.13138789,0.1360814,0.14391458,0.15172203,0.15544412,0.15238689,0.1437973,0.13365698,0.12671222,0.12545465,0.12936677,0.13502456,0.13860945,0.13771887,0.13270193,0.12545605,0.1181696,0.1120888,0.10770171,0.10512704,0.104462884,0.10583181,0.108885385,0.112529814,0.11492953,0.11469495,0.111881696,0.108044714,0.104983695,0.10347626,0.10314435,0.10309433,0.10290914,0.103061385,0.10482922,0.109399386,0.116847046,0.12571828,0.13378339,0.1392718,0.1418196,0.14234985,0.1425076,0.14375368,0.14679466,0.15162033,0.1571991,0.1619159,0.16287814,0.15805037,0.14704956,0.1330212,0.12012101,0.11177954,0.108582176,0.10923735,0.11164185,0.11392659,0.11467434,0.11316997,0.10982543,0.1062774,0.10456985,0.105708,0.108815044,0.111742266,0.11268953,0.111281455,0.10838155,0.10519665,0.10249417,0.100532345,0.09905215,0.0977769,0.09663535,0.09617186,0.09703127,0.09935487,0.1023972,0.10510647,0.107198976,0.10909205,0.1113075,0.11305639,0.11304826,0.11022579,0.1054978,0.100663304,0.09753653,0.09634897,0.09639632,0.096822895,0.09758795,0.099330224,0.102800906,0.107759275,0.11314129,0.11748598,0.12119948,0.12555414,0.13377146,0.14851363,0.17334831,0.20573509,0.2370072,0.25190702,0.24295217,0.21424122,0.18101704,0.15553312,0.14225364,0.13796954,0.13815613,0.1393088,0.13928163,0.13728781,0.13408117,0.13103588,0.12846716,0.12499691,0.1195275,0.112600006,0.106264025,0.10188625,0.09938324,0.09791493,0.09705934,0.09707624,0.09806904,0.099763155,0.1015395,0.10322061,0.10494542,0.10707701,0.10969725,0.11265799,0.11517962,0.116088204,0.11418495,0.10976535,0.104565434,0.101238884,0.10107657,0.10372439,0.10714208,0.10950461,0.10969036,0.10793575,0.104929306,0.101603605,0.098620854,0.096584015,0.09601768,0.09705347,0.099356435,0.10177042,0.10344997,0.10400164,0.104309976,0.105131805,0.1068689,0.108782865,0.11032852,0.11151445,0.11326695,0.116098605,0.11972644,0.12303569,0.12512593,0.12563503,0.12495879,0.124260955,0.12505615,0.12848522,0.13423146,0.14070328,0.14564519,0.14701636,0.1437403,0.13610475,0.12623705,0.1169287,0.11060152,0.10814312,0.109199606,0.11235639,0.11537551,0.116010815,0.11330819,0.10860934,0.10427415,0.10192273,0.101159275,0.10079917,0.09995439,0.09881684,0.0977937,0.097093284,0.096506186,0.09582778,0.095092766,0.09459111,0.09494073,0.096965246,0.10175195,0.110066354,0.12218363,0.1372469,0.15329434,0.16702783,0.17471538,0.17358923,0.16349941,0.14728165,0.12961306,0.1147334,0.10490354,0.09987733,0.09819496,0.098258406,0.099293165,0.10098633,0.103087425,0.105029225,0.1062567,0.10663404,0.10655669,0.10650622,0.10669143,0.10709555,0.10778911,0.109057754,0.11116585,0.11395825,0.11672705,0.118214495,0.11747172,0.11421011,0.10942837,0.10448576,0.1007212,0.098500185,0.09760499,0.09739655,0.097475834,0.097647466,0.097836636,0.097805925,0.09725782,0.09608251,0.094603874,0.093418874,0.09300175,0.09339979,0.094302416,0.09546319,0.09685344,0.098734796,0.10152713,0.105771124,0.111931145,0.11941268,0.1266645,0.13109319,0.13134275,0.12718183,0.12044758,0.11295748,0.106667995,0.10216135,0.09932526,0.0971294,0.09491801,0.09263546,0.090924405,0.09028089,0.09071064,0.09170118,0.0926554,0.093146175,0.09303517,0.09254575,0.09219327,0.09262497,0.0940695,0.096168466,0.098233365,0.09997064,0.10163068,0.10334596,0.104802676,0.105519496,0.10588321,0.10644173,0.107183106,0.1068042,0.104459584,0.10055221,0.09682378,0.09453443,0.09387818,0.09403352,0.09421263,0.0939945,0.0935434,0.09316904,0.09318095,0.09363648,0.09462608,0.09636509,0.09900359,0.10247136,0.10624602,0.10982981,0.11235919,0.112995915,0.1109792,0.10691949,0.10256045,0.10001887,0.09998108,0.10162992,0.103542246,0.1050756,0.10635384,0.10734255,0.107458,0.10606436,0.103684224,0.101599276,0.10117384,0.102612555,0.10540403,0.10845702,0.110763334,0.11148611,0.11050654,0.10861506,0.10689599,0.106173396,0.10622383,0.10651351,0.10631356,0.10551399,0.104226805,0.1028373,0.101659335,0.10085348,0.100460164,0.10025718,0.100049995,0.09956691,0.09871697,0.097434334,0.09596204,0.0947507,0.09438502,0.09497091,0.09606761,0.09679472,0.09658558,0.09528492,0.093218036,0.09074104,0.088315226,0.086307086,0.08504333,0.08452054,0.08457375,0.08484576,0.08511531,0.0851962,0.0852164,0.08544347,0.08638059,0.088135295,0.090296395,0.09168651,0.091486566,0.0897399,0.087952346,0.08760953,0.08943623,0.092531525,0.09557569,0.09736693,0.0974359,0.09561793,0.092022926,0.087067924,0.081504084,0.07640375,0.07284514,0.07159717,0.07234397,0.07368755,0.07375028,0.07180201,0.06852158,0.065515965,0.063648425,0.06279621,0.062072653,0.060860157,0.05906098,0.057045747,0.055318445,0.054216627,0.053871125,0.054161,0.054967064,0.056162324,0.057505947,0.05845733,0.05832684,0.056824382,0.054166187,0.050974324,0.047674302,0.044585392,0.041855514,0.039706986,0.038159743,0.037172064,0.0366562,0.03675871,0.03743499,0.03827448,0.038292035,0.036852557,0.034039564,0.030830575,0.028118074,0.026311077,0.0252055,0.02445968,0.023814494,0.023141138,0.022409126,0.02161944,0.020809755,0.01998184,0.019127546,0.01822529,0.01727712,0.016298143,0.015312248,0.014343753,0.013412562,0.012531881,0.0117048025,0.010926276,0.010189999,0.009491451,0.0088302605,0.008199415,0.0075883367,0.006983264,0.00637979,0.005778339,0.0051823184,0.004591824,0.0040051998,0.0034212458,0.0028400002,0.0022665896,0.0017174053,0.0012327916,0.00087733957,0.0007204598]