[0.02372685,0.024042336,0.02444096,0.024289174,0.023103582,0.021143982,0.019257901,0.01943391,0.025062809,0.041970447,0.07511289,0.12443008,0.18018036,0.2284679,0.26054522,0.2803514,0.2976832,0.31373343,0.31578133,0.28728285,0.22819191,0.15729736,0.101073325,0.07284716,0.07011338,0.08040902,0.09372888,0.105614804,0.11695406,0.12919675,0.14271387,0.15439846,0.16122104,0.15952198,0.1487918,0.12927938,0.10513872,0.08175398,0.065470435,0.059936862,0.06550621,0.07870637,0.09294742,0.10049244,0.09721407,0.08746532,0.08467444,0.1017557,0.14010505,0.18332012,0.20891254,0.20209552,0.16776055,0.12365077,0.09136233,0.08258622,0.0971373,0.12175106,0.14094388,0.14441437,0.13565628,0.12629332,0.12700264,0.13907176,0.1554301,0.16880532,0.17521308,0.17449665,0.16658986,0.15232092,0.13471206,0.11832891,0.10676616,0.09982216,0.09508724,0.091137856,0.088378794,0.08796159,0.08873224,0.08955098,0.09042219,0.093767904,0.10064242,0.108412646,0.11119888,0.10448286,0.089576244,0.07357872,0.06450136,0.065969415,0.07576752,0.088686146,0.10015633,0.107656725,0.11007037,0.106621094,0.09730193,0.084128596,0.07047278,0.060182456,0.055419195,0.05749167,0.06508273,0.07546345,0.08476764,0.09225408,0.0990187,0.10643715,0.113187075,0.117987566,0.120832056,0.12220794,0.12034178,0.112461925,0.098313026,0.08211576,0.06948643,0.06325522,0.06213672,0.062804185,0.06339643,0.06330391,0.06281527,0.06157978,0.060000908,0.059383646,0.06053628,0.06428047,0.07138137,0.08552889,0.108178444,0.13644373,0.16099153,0.17387806,0.17285347,0.16240437,0.1490742,0.13828166,0.1330663,0.13303752,0.13445866,0.13178651,0.1213936,0.10370096,0.08245558,0.062650226,0.0481343,0.041160356,0.04097445,0.044966787,0.049881995,0.05469884,0.061095238,0.070935875,0.08524186,0.10111952,0.11553705,0.12371387,0.12534468,0.12092492,0.11439363,0.10597667,0.09544367,0.08037702,0.06255234,0.045595165,0.035688844,0.034953725,0.041538972,0.048697736,0.0518118,0.04985181,0.045777056,0.042008463,0.039937813,0.042105824,0.05141149,0.068516485,0.08681046,0.09726101,0.09383813,0.07981265,0.06293828,0.051105928,0.047469568,0.052770715,0.06462409,0.07875445,0.088882,0.09158367,0.08781297,0.08207611,0.07737076,0.07396496,0.0700146,0.06478036,0.058411624,0.05268694,0.05010396,0.053753365,0.06448064,0.078866474,0.091142826,0.09666393,0.095941536,0.0920346,0.08944384,0.09056645,0.09685934,0.106006324,0.11337333,0.11302158,0.10370176,0.08974727,0.07922066,0.07721173,0.08303559,0.09061567,0.09358644,0.08869792,0.07858153,0.06944097,0.068909764,0.08028889,0.1002849,0.11855447,0.12458345,0.11508611,0.09661701,0.0808815,0.07612265,0.08538235,0.10517308,0.1309873,0.154357,0.16992317,0.17264844,0.16468422,0.1482337,0.12789889,0.10566062,0.08425503,0.065882765,0.053057987,0.047768276,0.050136596,0.058446806,0.06898294,0.07815582,0.08257403,0.08014319,0.0700719,0.05503494,0.040018726,0.030923033,0.03033173,0.037306286,0.047280762,0.05613181,0.061053675,0.062820114,0.06291419,0.06380173,0.06563809,0.06774306,0.06778373,0.06576864,0.06399243,0.06656323,0.0752196,0.08811548,0.10078525,0.10884988,0.11010011,0.1055922,0.0996306,0.0979532,0.103614874,0.11462646,0.12397698,0.12534903,0.11664835,0.10235652,0.08868555,0.079995856,0.075517826,0.07230589,0.06845554,0.0649372,0.063815944,0.06534246,0.068570845,0.07172823,0.074833505,0.077673465,0.08160097,0.086341165,0.09114138,0.09220467,0.08787728,0.07995283,0.07472661,0.07717538,0.08818921,0.104693025,0.12207135,0.1352061,0.13966078,0.13384609,0.12220609,0.11192254,0.10989181,0.11644015,0.12900208,0.14191853,0.15170233,0.15465707,0.14981355,0.13733675,0.1197659,0.10118321,0.087229975,0.08433571,0.095385104,0.117765784,0.14232409,0.15970588,0.16364849,0.15522562,0.13879399,0.12069857,0.10407046,0.09099039,0.08094466,0.07444513,0.07127135,0.07356953,0.082819276,0.100196086,0.122124314,0.14321828,0.15708251,0.16172564,0.15861718,0.153069,0.14892119,0.14777581,0.14721178,0.14570718,0.14179437,0.1350518,0.12283483,0.10498273,0.08466985,0.0690741,0.06212152,0.063106544,0.0668638,0.07038774,0.07340405,0.07824237,0.08543036,0.093227625,0.098387055,0.09913669,0.09718317,0.09682274,0.10150779,0.10974115,0.11654704,0.118923046,0.121142596,0.13101216,0.15320224,0.18327655,0.21165854,0.22894724,0.23362659,0.23181503,0.23304756,0.24073996,0.24824305,0.24450564,0.22214179,0.18470423,0.14097178,0.10228749,0.07430916,0.05974802,0.05687617,0.06372264,0.077281274,0.09361565,0.108697854,0.11843938,0.12153684,0.11763746,0.10924831,0.09931827,0.09184331,0.088527344,0.08914439,0.09178203,0.09515858,0.09884227,0.10235319,0.10445219,0.10324056,0.09746919,0.087706916,0.07686907,0.069357716,0.068129994,0.07256092,0.07853424,0.081807435,0.08165803,0.08050815,0.0814222,0.0837746,0.08554418,0.08634937,0.090664625,0.102778904,0.12095364,0.13694678,0.14228803,0.13548537,0.12074894,0.10422667,0.090853155,0.08555361,0.09237558,0.11053127,0.13284737,0.14861533,0.15133838,0.141446,0.12545405,0.10976741,0.09775362,0.08868629,0.08112902,0.07543156,0.07421056,0.07948542,0.08990129,0.10064601,0.106828064,0.10655119,0.10209278,0.096962534,0.09285945,0.08838916,0.08138094,0.07192148,0.062288325,0.055030752,0.051406074,0.05132109,0.054173753,0.0581723,0.062148895,0.06574132,0.06920115,0.07156109,0.07084671,0.06781441,0.06501613,0.06536707,0.067296185,0.06871423,0.06932359,0.07268689,0.081079416,0.09259526,0.101813085,0.104111165,0.098727405,0.08863413,0.07983077,0.07969937,0.09404961,0.12118093,0.15102912,0.17093551,0.17589958,0.17026836,0.16116132,0.151115,0.13772728,0.11925765,0.09704483,0.07497806,0.056294378,0.042573467,0.03425895,0.031189516,0.033355333,0.0395906,0.047666237,0.054084036,0.056176078,0.05378419,0.050557982,0.05249241,0.0637771,0.08245453,0.10002694,0.10690715,0.09972211,0.08460071,0.07235908,0.07078636,0.07919443,0.09211299,0.10495782,0.11767564,0.1309786,0.14292468,0.14911461,0.14647496,0.13512217,0.11753755,0.09714025,0.07765651,0.06323024,0.05766168,0.06444428,0.08343542,0.10917449,0.13007021,0.13647063,0.12659971,0.109603606,0.09668455,0.09453266,0.09949393,0.10342869,0.09848878,0.08442407,0.0668113,0.053280216,0.04747248,0.047287185,0.04849899,0.047993034,0.04693928,0.046893403,0.048833627,0.050864413,0.0523545,0.053864185,0.0589979,0.070801705,0.0908877,0.11481822,0.13439418,0.14008021,0.13023041,0.11160519,0.098148175,0.098683424,0.11246884,0.12809159,0.13628767,0.13567322,0.13344651,0.1347117,0.13916683,0.14147401,0.13702358,0.12342787,0.10189271,0.077048115,0.05628629,0.046283398,0.05045666,0.06602373,0.08676552,0.104828596,0.11749518,0.1255693,0.13232021,0.13743347,0.13922755,0.13684268,0.13333996,0.13344096,0.13964827,0.15030795,0.16087441,0.16832943,0.17315821,0.17680646,0.17893778,0.1759248,0.1668606,0.15355879,0.14113599,0.13116167,0.12369147,0.11811627,0.11577662,0.11697637,0.118276276,0.11605716,0.10871542,0.100513965,0.09532393,0.09647304,0.10280018,0.112554975,0.12199885,0.12853956,0.13020809,0.12834574,0.12641735,0.12908946,0.1382093,0.15095074,0.16053154,0.16013868,0.14858198,0.13148406,0.11906632,0.11770562,0.12608406,0.13593711,0.14044142,0.13861501,0.13438137,0.13016187,0.12501283,0.116866864,0.10642973,0.09630864,0.08794218,0.081361055,0.07667557,0.077376015,0.0853552,0.099429786,0.11183294,0.11714917,0.11369177,0.10597226,0.09655732,0.08624506,0.07426207,0.06391102,0.061130892,0.072616525,0.09743991,0.126644,0.14404249,0.14010657,0.11590025,0.08447597,0.05835819,0.044604804,0.043008547,0.050830245,0.065568,0.084901266,0.10688215,0.12757264,0.14227247,0.14545296,0.13672654,0.120312415,0.104261786,0.09226089,0.0845732,0.079023294,0.07659396,0.07800489,0.08245989,0.08646745,0.08892714,0.09208968,0.098453045,0.10666061,0.1118324,0.11220174,0.11031004,0.1109472,0.11410744,0.11624197,0.11305967,0.10394168,0.09114313,0.0785039,0.06991658,0.06785301,0.07256136,0.08199224,0.094145894,0.10777525,0.12170676,0.1331126,0.13805632,0.13484675,0.12543552,0.115246035,0.10904432,0.10935595,0.11461481,0.12015996,0.120018184,0.11068132,0.09393505,0.07610179,0.064868085,0.06567947,0.07862113,0.097019464,0.10942697,0.10790024,0.09509068,0.08390001,0.08677887,0.10582391,0.13087979,0.14881516,0.15249391,0.14546533,0.1356469,0.13003509,0.12915312,0.13024412,0.12806632,0.11961494,0.105168544,0.090855084,0.08531331,0.09312146,0.109545745,0.12123569,0.117262095,0.0974935,0.07506675,0.0645437,0.07217288,0.091127224,0.11088238,0.1230042,0.12653472,0.1218127,0.11219718,0.10075954,0.093501925,0.0930081,0.09828528,0.10390977,0.10611659,0.104849905,0.104307674,0.10838899,0.11848346,0.13085723,0.1398483,0.13985324,0.13091587,0.1177335,0.108038135,0.10585687,0.11015091,0.11626395,0.11978164,0.11882963,0.11262766,0.102671854,0.09154224,0.08433071,0.08459381,0.09374318,0.10904815,0.12704639,0.14396328,0.15815087,0.16875905,0.17690068,0.18318693,0.18631883,0.1822989,0.16757707,0.14391306,0.117859684,0.097925685,0.088847585,0.09145612,0.102716304,0.117812485,0.13106364,0.13868923,0.14046545,0.1395139,0.13891818,0.13992989,0.14175357,0.14468482,0.15049201,0.16162004,0.17612554,0.18694015,0.1847363,0.16648556,0.13836588,0.11172103,0.094146065,0.08553392,0.08187913,0.08192619,0.08883822,0.10462191,0.1231899,0.1330998,0.12667781,0.107999,0.08720907,0.07187125,0.06200781,0.055309672,0.05054163,0.04880553,0.05058616,0.056174338,0.06380079,0.07026839,0.07124563,0.065296896,0.055353288,0.046890516,0.044542104,0.049692273,0.062036734,0.08059651,0.10477028,0.13120723,0.15318452,0.16174793,0.15323891,0.13182884,0.10785937,0.08913729,0.077918746,0.07214332,0.07032569,0.071507365,0.074198216,0.07536616,0.07437528,0.07275245,0.07382906,0.07786717,0.084127925,0.09089109,0.098802924,0.10860876,0.1209144,0.13278192,0.1389895,0.13400076,0.117856584,0.09618026,0.07785839,0.067556165,0.06475961,0.06388155,0.060922027,0.054036383,0.046104822,0.0411021,0.045015574,0.061690103,0.09063522,0.12428495,0.15108055,0.16427028,0.16533862,0.16394097,0.16518782,0.16762757,0.16255254,0.14807881,0.13052845,0.12201533,0.1262243,0.13626258,0.14107583,0.13791251,0.13191731,0.12783079,0.12221301,0.10979992,0.09137184,0.07511244,0.06754612,0.067623414,0.069546014,0.06890905,0.066047266,0.064069316,0.066589504,0.07574155,0.09025437,0.10578933,0.1169576,0.12119616,0.11929337,0.11317081,0.104742326,0.096063696,0.09246213,0.098773725,0.11615645,0.13658175,0.14848638,0.14340897,0.12369863,0.09945774,0.082525276,0.08041946,0.096304834,0.1268478,0.16257977,0.18925892,0.20117842,0.20435601,0.2126395,0.2300434,0.24788861,0.25222167,0.23683687,0.20692714,0.17198531,0.13971116,0.11238757,0.09095979,0.077483006,0.07379976,0.079229385,0.08953918,0.102044426,0.11513392,0.12675186,0.13144499,0.12503485,0.108443975,0.088745296,0.074082725,0.07138982,0.08245697,0.10446823,0.12801212,0.14395727,0.147676,0.14238624,0.13269415,0.11945506,0.10116791,0.08094666,0.07048421,0.08262148,0.1197701,0.16824223,0.204947,0.21247093,0.18817393,0.14507313,0.10082689,0.06922216,0.05400535,0.0511212,0.053124856,0.05376263,0.051181015,0.04625031,0.041591026,0.038315643,0.037951626,0.04099774,0.048030954,0.056455474,0.064042084,0.07033426,0.07886928,0.0927684,0.11011336,0.12514174,0.12989177,0.12248412,0.10558761,0.09003662,0.083681874,0.08837841,0.09451144,0.093121946,0.082365185,0.069583975,0.06102726,0.057523582,0.055498045,0.053113848,0.049771387,0.045758758,0.04059246,0.036423545,0.036255147,0.042726148,0.05514868,0.072466016,0.094880335,0.123657085,0.15713917,0.18842018,0.20747556,0.20652127,0.18574876,0.15391837,0.12351891,0.10269183,0.0912635,0.083307624,0.07302437,0.05917165,0.04409976,0.032007072,0.0249414,0.022845874,0.022799052,0.022601789,0.021942094,0.023870433,0.031977277,0.047595516,0.06732762,0.08440042,0.09216366,0.0878656,0.07372403,0.055243377,0.038000613,0.02532825,0.01798784,0.015617718,0.017803337,0.023594713,0.03058076,0.03516483,0.035251994,0.03212789,0.03059923,0.034971807,0.045401644,0.0565747,0.061767053,0.058006614,0.04839624,0.03958471,0.036884766,0.040627092,0.046718854,0.050418627,0.05153578,0.054370314,0.06410486,0.08081902,0.09981271,0.11435158,0.12141079,0.12043467,0.11356062,0.10110309,0.08616529,0.07271751,0.0680598,0.07464913,0.08962709,0.104337044,0.1120797,0.111896254,0.10762008,0.10389194,0.1018993,0.10062931,0.09811472,0.09419305,0.09077197,0.08918851,0.08890182,0.085955836,0.07894355,0.06971838,0.06402364,0.06496405,0.07160591,0.07974874,0.08609545,0.09100128,0.09668092,0.1046006,0.111839585,0.11439661,0.11061559,0.10519755,0.10500903,0.114920594,0.13338588,0.1551159,0.17235209,0.17877667,0.16986667,0.14699905,0.11641238,0.087486856,0.067288384,0.059314515,0.063310646,0.075758226,0.08896323,0.09437448,0.087825954,0.074211486,0.06267547,0.05997883,0.066258766,0.078845166,0.09646002,0.11861396,0.14462234,0.17156504,0.19770269,0.21926796,0.2310769,0.2259645,0.20150708,0.16396661,0.12625314,0.102184266,0.09713012,0.10769707,0.124194555,0.14010721,0.15527754,0.17202552,0.19001012,0.20326209,0.20809698,0.20363235,0.1943339,0.18294121,0.17302231,0.16533548,0.16078609,0.15774906,0.1552255,0.15147161,0.14479195,0.13464707,0.124338776,0.120403446,0.12686948,0.14109276,0.1558969,0.16505386,0.16640192,0.16051371,0.1503506,0.1417333,0.14028186,0.14710051,0.15777504,0.17032273,0.18920504,0.21956956,0.2562953,0.28273025,0.2834026,0.25572354,0.21306121,0.17482962,0.15722193,0.16393231,0.18654488,0.20812559,0.2147308,0.20087619,0.17201437,0.13811946,0.10974062,0.09324422,0.09165505,0.10386887,0.12615925,0.15210152,0.17435749,0.18758188,0.18896256,0.17974643,0.16213425,0.14062464,0.12047786,0.10879592,0.11030237,0.12471946,0.1461727,0.16849744,0.18777233,0.2020563,0.20732339,0.20039807,0.18111968,0.15521117,0.12816234,0.10375473,0.08247658,0.06627194,0.056861494,0.055506602,0.06049663,0.07032795,0.082802325,0.09500425,0.1013312,0.09757593,0.08491378,0.07051087,0.06346684,0.06691019,0.07761133,0.08724884,0.09100047,0.08907751,0.08758267,0.09339326,0.109143786,0.13125782,0.15127893,0.1622774,0.16133504,0.14984463,0.13262573,0.11454303,0.09960174,0.08761112,0.08029734,0.0811617,0.093647875,0.1122733,0.12519437,0.1244965,0.11576099,0.114678286,0.1317091,0.16231804,0.18891387,0.195763,0.17838979,0.14370225,0.1031427,0.06696776,0.042993087,0.033220407,0.035144392,0.042880252,0.05320388,0.063620515,0.07113281,0.07059625,0.06075045,0.046152424,0.03490795,0.031028138,0.03273117,0.036410306,0.043273333,0.059829157,0.08909005,0.12429527,0.15002479,0.15882176,0.1559651,0.15600747,0.16428572,0.17699863,0.18536265,0.187293,0.18385716,0.17820235,0.17059481,0.16114421,0.14870448,0.13567959,0.12623356,0.12518923,0.13206543,0.14264594,0.15240027,0.15907174,0.16314304,0.16506006,0.16587245,0.16487364,0.16083695,0.15240787,0.1412003,0.1314397,0.12765084,0.12985587,0.13382812,0.13456637,0.13257807,0.13156436,0.13429634,0.13736558,0.1371261,0.13322173,0.1313417,0.13614668,0.146811,0.15696196,0.15981245,0.1565647,0.15251799,0.15461576,0.16272134,0.17776561,0.19980335,0.227861,0.2507563,0.25426885,0.23281252,0.19680722,0.16416353,0.14565891,0.1392213,0.13660501,0.13182619,0.12620312,0.123365544,0.12770328,0.13879511,0.15408266,0.16871452,0.18190503,0.195188,0.20902061,0.21746407,0.21319948,0.19522418,0.17218967,0.1550445,0.14908,0.15124339,0.15453619,0.15315767,0.14651036,0.14044978,0.14449607,0.16539174,0.19932884,0.23205002,0.24716407,0.24074091,0.2255451,0.22175334,0.23920034,0.2696054,0.29425952,0.29793367,0.27792886,0.24297267,0.2069634,0.18070386,0.16677491,0.16134697,0.15981673,0.160971,0.16470571,0.16906172,0.17051147,0.16695549,0.15951921,0.15142368,0.14585279,0.14447679,0.1464584,0.15041728,0.15418534,0.15593705,0.153101,0.14617507,0.13986395,0.13981718,0.14774604,0.15828107,0.1658671,0.16579783,0.15860026,0.14623205,0.1348207,0.13057989,0.13492648,0.14180268,0.14008182,0.12694342,0.10918477,0.10034954,0.10392027,0.11273875,0.11426446,0.10486136,0.090014376,0.07903708,0.07623229,0.080312066,0.086710565,0.09105104,0.090188555,0.08326573,0.07257998,0.06368983,0.06271898,0.07315177,0.092833735,0.11715188,0.1415624,0.16660719,0.19198173,0.2156033,0.22925036,0.22807343,0.21108758,0.18491691,0.15681578,0.13510434,0.12341226,0.120281726,0.11769592,0.108890705,0.09289976,0.07574301,0.06463174,0.06393027,0.07291526,0.08689326,0.09967411,0.10826237,0.11433052,0.12315033,0.13861474,0.1603346,0.182108,0.19532084,0.19405997,0.17949057,0.15765513,0.13545744,0.117126875,0.10592991,0.10302297,0.1069431,0.11172831,0.11158865,0.104008,0.09265977,0.08346289,0.08190513,0.08867382,0.10077358,0.11199389,0.11798936,0.11790055,0.11597005,0.11746284,0.12459385,0.13546598,0.14489962,0.15155019,0.15619002,0.16492261,0.17990106,0.20057906,0.21916841,0.2284931,0.22694217,0.22067125,0.21756434,0.2172535,0.21248017,0.19713558,0.17416298,0.15250903,0.13837129,0.13283047,0.13246115,0.13314317,0.12913203,0.11848839,0.10523742,0.10193155,0.11816976,0.15545733,0.20068963,0.23862858,0.25561133,0.25044274,0.22726561,0.1972189,0.16911328,0.15204109,0.14931983,0.16099064,0.1787213,0.19357538,0.19892235,0.20037882,0.20555843,0.21850191,0.2286753,0.2243578,0.2007965,0.17017807,0.14778568,0.14277925,0.14876662,0.15549587,0.156883,0.15839197,0.16676885,0.18239366,0.1965983,0.20219077,0.19971742,0.19519109,0.19009978,0.180797,0.16315134,0.14050008,0.11931308,0.10612836,0.10202848,0.10692185,0.11906314,0.13726895,0.15620233,0.16856675,0.16699345,0.15318467,0.13583437,0.12538622,0.12385142,0.12688975,0.13111345,0.13737214,0.14865209,0.16233943,0.17458357,0.18164633,0.18478744,0.18262058,0.17171389,0.14844522,0.11830158,0.0937632,0.08458463,0.089378424,0.09675334,0.09942279,0.096618295,0.09511306,0.097679436,0.10625044,0.11858249,0.13238783,0.1416542,0.14254496,0.13465114,0.12403861,0.116506964,0.11518383,0.11742888,0.120286405,0.122885324,0.12748018,0.13512427,0.14320487,0.14731564,0.14497936,0.13798626,0.13064341,0.12766056,0.13153943,0.14106548,0.15120132,0.15688205,0.15682821,0.15377758,0.14973588,0.14388813,0.13449852,0.12269693,0.11143396,0.102960385,0.09651222,0.090527415,0.0831606,0.07506939,0.0668143,0.060268875,0.05454618,0.04955071,0.04437616,0.041155268,0.041684534,0.047388498,0.057027806,0.067150414,0.074101366,0.07468895,0.069478184,0.060515776,0.052031238,0.046376403,0.04637442,0.052985996,0.066729024,0.08303515,0.09673342,0.10338127,0.10572133,0.10814013,0.114937805,0.12620842,0.14186111,0.16252331,0.18929206,0.22088052,0.25110877,0.27046314,0.2702438,0.2489766,0.21347834,0.17463703,0.14101212,0.11638101,0.10258812,0.10050792,0.109792806,0.12554137,0.14129467,0.15174352,0.15618168,0.15679677,0.15701188,0.15923394,0.16391224,0.16813959,0.16986193,0.17059892,0.17916058,0.20194359,0.23546213,0.26271713,0.26587015,0.24066359,0.1986214,0.15829952,0.12966429,0.11350471,0.10283756,0.09280928,0.080261506,0.06672588,0.05412388,0.044631835,0.037718847,0.032504242,0.028638326,0.028103119,0.033368845,0.04679663,0.06724808,0.090872854,0.111018755,0.12407092,0.12927526,0.12937671,0.12644829,0.12227868,0.11866554,0.11810806,0.12325556,0.13339947,0.14464568,0.15135823,0.15330784,0.15490752,0.1626065,0.17596525,0.19098164,0.20117815,0.20567842,0.20418136,0.19932447,0.19142175,0.18329966,0.17759056,0.1783398,0.1846469,0.19034839,0.1872977,0.1751172,0.16251834,0.15843089,0.16238631,0.16637444,0.16556595,0.16268545,0.16028343,0.15507682,0.14027765,0.11904576,0.10197315,0.099607624,0.10818207,0.115809344,0.11170387,0.09709186,0.08194454,0.07788667,0.087717675,0.105231375,0.11889013,0.12483806,0.12632321,0.13191245,0.14412093,0.1617734,0.17953534,0.19296615,0.19761585,0.19366395,0.18491197,0.17579232,0.16506647,0.14897875,0.12738493,0.10914054,0.10439532,0.11895677,0.14664195,0.1781851,0.20314103,0.22061615,0.23178887,0.23952061,0.23957388,0.22813062,0.2057008,0.18205298,0.16842224,0.1704789,0.18359338,0.19825315,0.20436113,0.19849794,0.18170522,0.16091935,0.1400911,0.121596165,0.10289147,0.085254125,0.07073979,0.06364662,0.064006835,0.07182726,0.08512011,0.10189607,0.11695274,0.1268559,0.13185333,0.13809024,0.15045011,0.16945656,0.18709208,0.19626653,0.19153766,0.17642824,0.15434337,0.13462587,0.12399551,0.12957345,0.14655162,0.16645934,0.17900537,0.18382151,0.184265,0.18579964,0.18839402,0.18815659,0.17867728,0.15905903,0.13646589,0.123416275,0.126538,0.14410941,0.16898191,0.19451998,0.21279608,0.21418369,0.19624572,0.16896169,0.15026814,0.14764772,0.15348403,0.15395963,0.14421523,0.13244295,0.12880695,0.13808103,0.15247495,0.16414957,0.16777463,0.16981779,0.17462957,0.18284786,0.18580085,0.1786712,0.1620288,0.1419555,0.122633666,0.10675981,0.09800043,0.09871885,0.10808798,0.117773205,0.12092984,0.11310991,0.099128,0.08548597,0.07991293,0.08382555,0.09365214,0.1034612,0.11065466,0.118830144,0.13102798,0.14596663,0.15479982,0.15119465,0.13462655,0.11263636,0.092543,0.07865703,0.07131312,0.069978975,0.07429541,0.083698966,0.09586535,0.107210495,0.11413968,0.116048925,0.1139009,0.10864538,0.09987158,0.08851994,0.07816494,0.07334555,0.07621461,0.08533746,0.096740484,0.10566172,0.10889716,0.106195726,0.10070735,0.09536728,0.090522796,0.08431163,0.076865524,0.07214527,0.07415086,0.082965314,0.09504553,0.10959522,0.12895115,0.15570684,0.18590009,0.21495216,0.23909914,0.25833943,0.26835498,0.26440886,0.24586661,0.21930094,0.19365607,0.17345469,0.16211791,0.16094488,0.16972218,0.18090717,0.18593039,0.18060039,0.16946603,0.15851243,0.15157624,0.14861439,0.15293367,0.16609228,0.18779351,0.20815475,0.21928316,0.21683393,0.2055823,0.19138932,0.17911887,0.1729459,0.17579526,0.18851157,0.2050363,0.2167291,0.21784998,0.20915042,0.19555348,0.18048675,0.16815697,0.1638581,0.1737997,0.19715239,0.22410345,0.24123509,0.24011247,0.22256064,0.19630457,0.17161544,0.1553183,0.15069799,0.15430824,0.16047643,0.16467504,0.16981322,0.18043788,0.19882299,0.21847637,0.23389445,0.24113077,0.24338335,0.2398058,0.2295308,0.20907597,0.18207891,0.15561219,0.1385852,0.13431542,0.13919424,0.1468848,0.15253542,0.15731035,0.16218388,0.16679859,0.16660728,0.16189212,0.15649916,0.15624541,0.15949374,0.16076693,0.15654625,0.15137525,0.15253581,0.16233552,0.17464598,0.18064447,0.17547786,0.16293657,0.15066515,0.1465769,0.15164246,0.16355179,0.17716283,0.19030856,0.19986732,0.20247476,0.19487864,0.1784509,0.16051841,0.14996332,0.15403341,0.1749358,0.21133225,0.2581178,0.30748653,0.3516482,0.3856335,0.40602675,0.4082636,0.38515627,0.33848667,0.28152502,0.23664437,0.21546817,0.21399517,0.21864629,0.2207576,0.22251886,0.22960924,0.24613571,0.26898256,0.29057372,0.30056307,0.29235116,0.26969913,0.2448811,0.23218189,0.23526676,0.24749462,0.25612918,0.25453538,0.2478839,0.25128797,0.2794634,0.33218965,0.3936787,0.437687,0.44586185,0.41130677,0.34635058,0.2703653,0.20753805,0.16992705,0.15996867,0.16641928,0.17672954,0.1795495,0.17300422,0.16219114,0.15607785,0.1597868,0.17082377,0.18076265,0.18054546,0.16720395,0.14489797,0.12288333,0.109128274,0.10804859,0.11886563,0.13798861,0.15923579,0.17720388,0.18936186,0.19734019,0.20478489,0.21226394,0.21720028,0.21360056,0.19957739,0.17760205,0.15635277,0.14232999,0.13759647,0.13760401,0.1381256,0.13700895,0.136782,0.1383682,0.14150113,0.14106584,0.13483025,0.12318351,0.113073766,0.1106045,0.11798201,0.12979709,0.13672014,0.13235582,0.11735234,0.10011491,0.09026373,0.09463688,0.112819366,0.1380542,0.16037261,0.17231613,0.1734817,0.16918202,0.1689866,0.18049197,0.20460999,0.23126197,0.24715881,0.24844234,0.24296613,0.24083836,0.24167217,0.23996972,0.23067355,0.21417235,0.19092858,0.16572745,0.14878903,0.15178233,0.17380822,0.19775559,0.20183574,0.17884003,0.14227922,0.114908874,0.109874934,0.123330414,0.14076822,0.1504081,0.14833365,0.13743152,0.12285454,0.110801004,0.10660399,0.111843966,0.12306116,0.13538314,0.14613086,0.1556433,0.16363297,0.16920577,0.17208649,0.17272829,0.17058317,0.16265653,0.14932132,0.13558291,0.13142006,0.14141946,0.16339733,0.1867711,0.20234591,0.20452441,0.19543761,0.18213683,0.17473446,0.182063,0.205088,0.23524185,0.25768802,0.26226926,0.249099,0.22626258,0.2023822,0.18223345,0.16741283,0.15815376,0.15327017,0.15107934,0.14953355,0.14844684,0.14776717,0.14816402,0.14867322,0.14905696,0.14868402,0.14861672,0.149751,0.15397513,0.16245605,0.17381458,0.1820948,0.17910095,0.16349386,0.1451617,0.14194314,0.16089311,0.19191362,0.21121757,0.20699795,0.18488967,0.16343164,0.15177919,0.14727424,0.14156336,0.1312031,0.118791826,0.1078775,0.101718865,0.100377955,0.10301555,0.10596459,0.107367866,0.10613505,0.10405397,0.10230563,0.10277885,0.10629503,0.11333216,0.1224007,0.13109772,0.13677843,0.13805151,0.13557218,0.13176765,0.12975852,0.13001968,0.13001324,0.12531032,0.11519253,0.10361498,0.0978555,0.10245546,0.11735594,0.13811146,0.15819475,0.17043294,0.16948485,0.15590675,0.13761452,0.12521225,0.124466754,0.13207798,0.14102161,0.14689861,0.15172952,0.15783037,0.16434188,0.1660794,0.16091628,0.15124281,0.14412792,0.14495085,0.15593368,0.17442907,0.19438873,0.20960371,0.21577328,0.21439034,0.20883767,0.20543839,0.20796053,0.2185958,0.23305903,0.24393582,0.24446338,0.2346046,0.22122526,0.21074255,0.20341426,0.1920067,0.17028356,0.1402181,0.11099008,0.09276082,0.087009884,0.08984193,0.094345964,0.10010628,0.108531475,0.1211646,0.13254134,0.13633473,0.12881269,0.114657484,0.10112378,0.09623129,0.10189563,0.11640912,0.13069727,0.13686965,0.13079603,0.11953971,0.11324825,0.11860011,0.13219944,0.145238,0.15014027,0.14512616,0.13372074,0.12123177,0.11195993,0.107740164,0.1077198,0.10935021,0.110787444,0.11609884,0.13234045,0.1641701,0.20260097,0.23361258,0.24553077,0.240771,0.22556573,0.20570815,0.18314154,0.1618026,0.14712574,0.1428444,0.14913766,0.1657962,0.19028927,0.21752447,0.23533201,0.23635554,0.22169322,0.20421524,0.19353013,0.18968123,0.18445969,0.1715223,0.15258747,0.13353564,0.12149361,0.1197562,0.12825243,0.14287637,0.15796405,0.16967948,0.17600274,0.17765558,0.17503081,0.16939493,0.16259806,0.16021977,0.16884626,0.19169086,0.22291301,0.25221193,0.2703776,0.27460656,0.26690993,0.25438806,0.24837577,0.25602326,0.27258444,0.2804195,0.2673641,0.23838472,0.21111615,0.19765614,0.19428827,0.19334394,0.19112514,0.1912344,0.1927998,0.19181907,0.1840107,0.1696354,0.15041114,0.12911928,0.111034274,0.10482412,0.11655333,0.14397635,0.17685892,0.20266418,0.21418999,0.21031924,0.19650114,0.1805899,0.16910402,0.16366614,0.16087955,0.1604201,0.16575402,0.1829467,0.20860545,0.23276794,0.24336629,0.23929851,0.22662224,0.21442975,0.20611908,0.2026182,0.20398259,0.20878655,0.21285127,0.20927095,0.19747025,0.18226682,0.17329621,0.17452161,0.18444811,0.19666547,0.20553021,0.20795427,0.20445506,0.19875892,0.19694537,0.201918,0.21179421,0.21752334,0.21422596,0.20225465,0.19257139,0.19162269,0.20246422,0.21604776,0.22755535,0.23061551,0.22995384,0.22646211,0.22799109,0.235685,0.25405475,0.27874222,0.3044733,0.31901348,0.31299296,0.2826551,0.23802356,0.19723459,0.17710543,0.1806836,0.20008464,0.22276254,0.24210338,0.25394306,0.256393,0.24632776,0.22582053,0.2018695,0.18591338,0.1848501,0.19682515,0.21119426,0.21684307,0.21132982,0.19997443,0.19119608,0.18545611,0.18020378,0.17136651,0.16201085,0.15459923,0.15166889,0.15021203,0.14943768,0.14745313,0.14817531,0.15231673,0.16313939,0.17525738,0.18705262,0.19202174,0.19049545,0.17837608,0.16069056,0.14637053,0.14973675,0.17368211,0.2060775,0.22949387,0.2331606,0.22165696,0.20220518,0.1842668,0.1699393,0.16260934,0.15972652,0.16053231,0.1608646,0.15931617,0.15451913,0.14971884,0.14979964,0.15815032,0.17127056,0.1810352,0.17984527,0.16681449,0.14647342,0.12645383,0.1136418,0.112339385,0.12098346,0.13261263,0.14055969,0.14731683,0.16064371,0.18547876,0.21373677,0.23608273,0.24668072,0.24920462,0.24393554,0.23236595,0.21497715,0.19817375,0.18478243,0.17750531,0.17584158,0.1800781,0.18677251,0.19284622,0.19850755,0.20673443,0.21805327,0.22652823,0.22724305,0.21986671,0.21034831,0.20223503,0.19541717,0.1880837,0.18081464,0.17841358,0.18506686,0.2031209,0.22697146,0.24673909,0.25270805,0.24557717,0.23608859,0.23780055,0.25648823,0.28694066,0.31556222,0.32783103,0.31674373,0.2874516,0.25517148,0.23339248,0.2279852,0.23518175,0.24948223,0.26461264,0.27441943,0.27470922,0.26678118,0.26015866,0.26100004,0.26874784,0.27329478,0.27141038,0.26810434,0.27495554,0.29447266,0.31745562,0.32949534,0.32387853,0.30930898,0.30310464,0.31896922,0.35464427,0.39309284,0.41512457,0.41120496,0.3880035,0.35953853,0.34029472,0.333962,0.33397472,0.32783917,0.30926836,0.2842257,0.2643021,0.25681815,0.25778592,0.26008835,0.2590444,0.25581837,0.2513515,0.24467927,0.23569213,0.22884934,0.23196377,0.24744467,0.26974678,0.28844094,0.29921508,0.3032047,0.3036994,0.2986213,0.28689793,0.27038693,0.25475946,0.24090596,0.2274006,0.21375911,0.20372188,0.19802792,0.19341825,0.18716337,0.18338299,0.18846285,0.20484555,0.22883403,0.25721365,0.2876864,0.31931987,0.34659907,0.3639947,0.36579397,0.3532083,0.3321627,0.31384683,0.30612728,0.30926466,0.31360364,0.30836877,0.29062524,0.26883325,0.25487936,0.25463864,0.26415062,0.27559742,0.28402242,0.29217574,0.3048742,0.32438636,0.344556,0.35808638,0.36117783,0.35835025,0.35531458,0.35517836,0.35618782,0.35744563,0.3587478,0.36000636,0.35684204,0.34554744,0.32880607,0.31804457,0.32779935,0.36149856,0.40829834,0.44396767,0.45143962,0.4295714,0.39807782,0.37646267,0.3707612,0.36597094,0.3468679,0.3098518,0.27105767,0.24574387,0.24154317,0.24801876,0.25084606,0.23684777,0.20710902,0.17359976,0.15030807,0.14291997,0.14601164,0.15342188,0.16142403,0.17175247,0.18692268,0.20915823,0.23589627,0.25762892,0.2646365,0.25549138,0.24035186,0.2301814,0.22733004,0.22540271,0.21639328,0.19890423,0.17693835,0.1595125,0.15235259,0.15687011,0.16633163,0.17315294,0.17301692,0.1697399,0.17062514,0.17845154,0.18825631,0.19104393,0.18618648,0.17989004,0.17984588,0.18322708,0.18301742,0.17510559,0.16375904,0.1556431,0.15405412,0.16054648,0.1759017,0.20090665,0.2307399,0.25748664,0.27319893,0.2749285,0.26335457,0.24067067,0.21083474,0.17942305,0.15512438,0.14482012,0.15268053,0.17454982,0.20207615,0.2233665,0.23277599,0.22963886,0.2203493,0.2091989,0.200022,0.19330025,0.19080706,0.1912601,0.19092052,0.18539564,0.1744446,0.16384663,0.15661292,0.1519896,0.1439209,0.1342679,0.12804592,0.13261048,0.14539364,0.1623733,0.1792406,0.19971287,0.22660589,0.25905013,0.28515568,0.28967127,0.2637526,0.21549463,0.16593261,0.13650481,0.13524611,0.15433376,0.17489332,0.18066007,0.16590737,0.13923682,0.11493143,0.103344314,0.10558819,0.11506196,0.12525876,0.13186204,0.13377291,0.12960158,0.11918726,0.10640875,0.097942084,0.09956977,0.10959303,0.12202394,0.12982702,0.13017356,0.12406813,0.11635384,0.11383309,0.12109145,0.13719513,0.15615238,0.17146361,0.17921598,0.1770329,0.16378288,0.14034267,0.112586945,0.08845329,0.074179105,0.070013314,0.07220041,0.07670011,0.08232958,0.09061209,0.10132143,0.11140397,0.1158731,0.1139642,0.10936478,0.10801182,0.11356213,0.12507658,0.13917343,0.15177464,0.16215527,0.16968699,0.17099857,0.16087459,0.13814068,0.111084126,0.09087596,0.08492312,0.09147343,0.103671275,0.11378992,0.118038915,0.11720708,0.11566021,0.11643844,0.12117841,0.13015336,0.14336993,0.15664858,0.16109486,0.15004833,0.12761892,0.107799016,0.10352605,0.11501577,0.1323603,0.14237344,0.13978802,0.12594907,0.1081641,0.09161516,0.07905797,0.06910659,0.0610486,0.05526788,0.054408763,0.061230704,0.07643828,0.096282184,0.11301152,0.120805256,0.12187609,0.12514348,0.13591997,0.14846377,0.15014996,0.13630508,0.11564689,0.10610712,0.11920413,0.15550722,0.20269449,0.24560027,0.27086282,0.27545714,0.2627395,0.24022834,0.21313345,0.1877173,0.16971612,0.1626048,0.16327292,0.1657147,0.16707133,0.16883798,0.17349766,0.1785702,0.17943966,0.17117202,0.15632212,0.14241338,0.14037059,0.15306665,0.17473692,0.19429685,0.20502077,0.20669699,0.20006259,0.1857778,0.16360818,0.13909106,0.120122306,0.11467237,0.12642829,0.15121205,0.18123917,0.20370805,0.2133577,0.20927598,0.20037149,0.19203639,0.18714376,0.18130636,0.17163508,0.15682314,0.14059955,0.1267425,0.11918392,0.11775223,0.121243276,0.1270151,0.13533719,0.14656731,0.16146518,0.17849992,0.19684492,0.21393208,0.22739373,0.23486777,0.23978376,0.24732828,0.25977656,0.27180597,0.27617487,0.26969,0.25429764,0.2340393,0.21225359,0.1915518,0.17421104,0.16302814,0.16111779,0.16954462,0.18397577,0.19540276,0.19522816,0.1829799,0.16648082,0.15748201,0.16101928,0.17372769,0.1860026,0.19250101,0.19352527,0.19408102,0.19543755,0.19615239,0.19203693,0.18328403,0.17244561,0.16581893,0.16744097,0.17887126,0.19617252,0.21301495,0.22250044,0.22124223,0.20965917,0.1914587,0.1717888,0.15531963,0.1459722,0.14496656,0.1521125,0.163655,0.17516066,0.18306983,0.18892151,0.1954811,0.20183402,0.20146318,0.19136088,0.17714883,0.17230278,0.18161882,0.19869113,0.20595293,0.19569467,0.17126554,0.14817925,0.13715364,0.14278223,0.16203438,0.18975306,0.21875937,0.24081373,0.24994357,0.24441661,0.22837509,0.20876087,0.19259457,0.1845613,0.18370156,0.18585046,0.18391098,0.17729078,0.17026244,0.171665,0.1844645,0.2044964,0.22281282,0.23157378,0.229164,0.21750243,0.2015575,0.18361509,0.16554588,0.14808495,0.1351243,0.13131885,0.1406654,0.1609229,0.18409853,0.19847284,0.1967001,0.18033777,0.15995574,0.1483097,0.1519837,0.16872026,0.18959482,0.20576622,0.21193725,0.20755477,0.19529374,0.18024097,0.16894789,0.16692246,0.17605674,0.19247305,0.2100061,0.22058696,0.21993296,0.20519376,0.18136716,0.1557223,0.13874555,0.13636172,0.14983846,0.17391908,0.19743492,0.20955151,0.20471208,0.1875592,0.16692252,0.14995241,0.13992654,0.1373127,0.14306766,0.15488334,0.16855276,0.17660506,0.17515518,0.16425425,0.15005128,0.13876267,0.13460767,0.13645466,0.1414324,0.14562799,0.14820778,0.14907606,0.15186007,0.15865284,0.17203437,0.18888326,0.20552497,0.21640126,0.22075146,0.22071178,0.22280777,0.23422265,0.2572205,0.28480732,0.29938778,0.2877798,0.24998169,0.2050904,0.1736448,0.16655637,0.17759444,0.19391163,0.20476711,0.20718543,0.20355444,0.19868606,0.19659235,0.19976835,0.20633678,0.21261524,0.21340446,0.20783721,0.19646092,0.1834343,0.17160611,0.16634415,0.17126743,0.18961619,0.21763182,0.24639785,0.26219937,0.2571442,0.23195267,0.19837074,0.16801743,0.14972316,0.14415802,0.15085207,0.16853215,0.1993897,0.24467821,0.29914138,0.34886166,0.37661424,0.37574255,0.35097972,0.31323862,0.2689743,0.22358657,0.1848759,0.1618356,0.1554138,0.15797253,0.16346496,0.17815419,0.21271133,0.26285744,0.30325022,0.30687597,0.27336922,0.22699851,0.19365837,0.17700689,0.16742997,0.15852107,0.15402173,0.15680046,0.1614866,0.16150546,0.15803085,0.16035847,0.1726652,0.18819928,0.19271629,0.18040787,0.15751514,0.14019851,0.13975008,0.16043693,0.19415212,0.22924268,0.24977739,0.24868864,0.22595726,0.19405085,0.16550384,0.14920604,0.14434864,0.14867406,0.16775255,0.21126191,0.2783142,0.34306547,0.37133065,0.34760392,0.2897032,0.23011333,0.19010103,0.17149049,0.1700248,0.18722488,0.22904164,0.29072294,0.35058734,0.37814942,0.355656,0.29203448,0.21661885,0.1604373,0.1390994,0.1506186,0.18190257,0.21678714,0.2417363,0.24900198,0.23787808,0.21476595,0.18836528,0.16752033,0.15513659,0.15063334,0.14938082,0.14879648,0.14864795,0.1513028,0.15834965,0.1681755,0.17823267,0.18734501,0.19740035,0.21162814,0.23031618,0.25330088,0.27556404,0.2936884,0.29883656,0.28840664,0.26119027,0.22661863,0.19250363,0.16682701,0.14951599,0.13919555,0.13271171,0.13094096,0.13563769,0.14844818,0.16512722,0.17908074,0.18403131,0.18178147,0.17855519,0.18173677,0.1906663,0.19811149,0.19416703,0.17694445,0.15390725,0.13871197,0.13849573,0.15157092,0.16697301,0.17833364,0.18499963,0.19458503,0.20932275,0.22593011,0.23570369,0.23634821,0.23265304,0.23153518,0.23367731,0.23295128,0.22503608,0.21298803,0.20644678,0.21216251,0.22941548,0.2483017,0.26023898,0.26169497,0.26347736,0.27518615,0.30048501,0.3225808,0.3235117,0.29301944,0.24289161,0.19239259,0.15768017,0.14069165,0.13548206,0.1361143,0.14377028,0.16372108,0.19836067,0.2396514,0.27134296,0.27767894,0.25636712,0.22020726,0.18979736,0.17739433,0.18195076,0.1919504,0.19868398,0.19835383,0.19185156,0.17860746,0.16146201,0.14624564,0.14173867,0.1492642,0.16362117,0.17348178,0.17292736,0.16085722,0.14334862,0.12519144,0.10992279,0.09739993,0.08827919,0.084299035,0.089762695,0.10962045,0.14772208,0.20041974,0.25660476,0.2999008,0.3237485,0.33015773,0.3283514,0.3184526,0.29922813,0.2703174,0.24131627,0.21893547,0.20429248,0.18933989,0.1683503,0.14102753,0.11534346,0.09946703,0.09582829,0.0984573,0.09932569,0.09577497,0.09315699,0.09889948,0.11558201,0.13619883,0.14966224,0.14755225,0.1312172,0.10823598,0.08821058,0.07660663,0.075727925,0.08361331,0.09643424,0.108542204,0.1167838,0.12075464,0.1229315,0.12542044,0.13010252,0.13786769,0.14886296,0.1607911,0.17077805,0.17686056,0.17935026,0.17917557,0.17660563,0.17212953,0.16571055,0.15878744,0.15217362,0.14822029,0.14621978,0.1442941,0.13911559,0.13180344,0.12619944,0.1260966,0.1305884,0.13511509,0.13546246,0.13043088,0.12212298,0.1137202,0.109445095,0.11373488,0.12984884,0.15559834,0.18306471,0.20234281,0.20807846,0.20109783,0.18477912,0.16189916,0.1346257,0.10777172,0.08870686,0.083503924,0.09308501,0.11075097,0.12677747,0.1320858,0.12499735,0.11041406,0.09851814,0.097108565,0.1083312,0.12631069,0.14209145,0.14816467,0.14393626,0.13416153,0.12608863,0.12288981,0.124026716,0.12470115,0.12168622,0.11356604,0.104680695,0.10180235,0.113123864,0.14229232,0.18577057,0.231198,0.26322713,0.2714311,0.25662175,0.22724396,0.19510256,0.16865318,0.1534907,0.14877649,0.15049875,0.15354334,0.1563649,0.15921988,0.16173661,0.16199116,0.15963113,0.15607457,0.15423582,0.154525,0.15683097,0.15968853,0.16430022,0.17196923,0.18464313,0.19938253,0.21071158,0.21095233,0.19740541,0.17144175,0.14088653,0.11505794,0.10464334,0.112602614,0.13474666,0.15743858,0.17058384,0.16825129,0.15410645,0.13337813,0.11415222,0.10260749,0.102675654,0.11394584,0.13255481,0.15368783,0.17050694,0.1772688,0.17020619,0.15398465,0.13651583,0.12652078,0.12600021,0.13474044,0.14982404,0.16854866,0.18608403,0.20113893,0.21514869,0.23263478,0.24969022,0.25790897,0.24680535,0.22046793,0.1928925,0.18144055,0.1887985,0.20403512,0.21160673,0.2051307,0.18938704,0.17284383,0.16181503,0.15618356,0.15382516,0.14997424,0.14391677,0.13627489,0.1318019,0.1320799,0.1366961,0.1407305,0.14156349,0.13933851,0.13856578,0.14114936,0.14625691,0.14955531,0.15054923,0.15099971,0.15580674,0.16428053,0.17268057,0.17278951,0.16282868,0.1460132,0.13329089,0.13415763,0.15391088,0.18768312,0.22319524,0.25016686,0.26760814,0.28680384,0.31509435,0.35195568,0.3816651,0.3919611,0.3761742,0.34521878,0.31498024,0.2993619,0.29668042,0.29276922,0.27497742,0.24422891,0.21669084,0.20635653,0.21412545,0.22577135,0.22784942,0.21802586,0.206037,0.20294873,0.20971741,0.21804863,0.2161103,0.20270574,0.18500508,0.17339669,0.1692438,0.16908182,0.1710621,0.18043296,0.20166747,0.2358402,0.27655378,0.31773397,0.3468591,0.35613433,0.34204337,0.31934783,0.30278915,0.3011177,0.3039818,0.30087736,0.2870802,0.27202526,0.2659097,0.2746521,0.2934499,0.3111349,0.31964386,0.3199221,0.32801795,0.352994,0.39467525,0.4263294,0.4317589,0.4000752,0.35159257,0.298964,0.25974518,0.23185076,0.21759824,0.21075107,0.21006681,0.21224225,0.21668445,0.22167505,0.22337861,0.21966143,0.21182315,0.20469546,0.20080388,0.19746159,0.18960232,0.17447077,0.15469468,0.13631782,0.12478837,0.1220784,0.1273337,0.13820861,0.15339291,0.16900706,0.18116532,0.18567832,0.18553637,0.18699498,0.19541301,0.20738918,0.21456976,0.21171053,0.20247525,0.19463243,0.19264811,0.19427882,0.19531508,0.19207047,0.18246949,0.16578974,0.1450432,0.12742193,0.117841184,0.116289325,0.11859221,0.12773417,0.14978012,0.18909778,0.23434575,0.27008322,0.28425398,0.28211877,0.27481696,0.27256802,0.27424583,0.27426395,0.26784572,0.25786883,0.25060198,0.25214183,0.26247075,0.27891624,0.2973676,0.3185694,0.3418366,0.36283287,0.36815307,0.34873518,0.30886576,0.26839107,0.24604356,0.24496204,0.25569844,0.26721585,0.2790476,0.29269072,0.30888543,0.32094082,0.32556117,0.32058832,0.30898666,0.29274833,0.27880886,0.27640292,0.29377112,0.32687664,0.35852265,0.36756757,0.34449473,0.2968838,0.24299198,0.19867481,0.17176388,0.16194414,0.16564788,0.176808,0.1893375,0.19847429,0.20277096,0.20222034,0.19650747,0.18476553,0.16875154,0.15197498,0.13947308,0.13376944,0.13719624,0.14919476,0.16739482,0.18537456,0.19681263,0.19735323,0.18746297,0.17176299,0.15858592,0.15590532,0.16668141,0.18608034,0.20575684,0.21956396,0.22546802,0.22254042,0.2100964,0.19173135,0.17529689,0.16793792,0.16770816,0.16799583,0.16440491,0.16077733,0.16223375,0.171508,0.18840237,0.21352327,0.24408674,0.2702652,0.2783517,0.262879,0.23291731,0.2069311,0.19910401,0.2145148,0.24595721,0.28363445,0.31179708,0.32428542,0.3181579,0.30455288,0.28862032,0.27595794,0.26458338,0.25989053,0.26605335,0.28377438,0.30143264,0.30638137,0.29454377,0.27551734,0.26026687,0.25297475,0.25034216,0.2503123,0.25285432,0.25679803,0.2577678,0.2529796,0.2446972,0.23822351,0.23664798,0.24040401,0.24908559,0.2642076,0.28414255,0.3032205,0.31119987,0.30388555,0.28422877,0.2635679,0.24977477,0.24699883,0.25197074,0.2625402,0.27409053,0.2827954,0.28139758,0.26776156,0.24505395,0.22281496,0.20942491,0.21190785,0.2378807,0.28925383,0.3562571,0.41048527,0.428133,0.40018657,0.34450713,0.28318754,0.23637499,0.20876753,0.19694273,0.19173028,0.18895657,0.18956168,0.19391811,0.19838488,0.20002775,0.2035519,0.21335392,0.2268929,0.23588473,0.24174638,0.25117555,0.26614618,0.27288187,0.26203418,0.23691197,0.21241693,0.19291675,0.17446887,0.15508105,0.14223062,0.14359055,0.15603136,0.17030941,0.17834924,0.17924653,0.17620598,0.17393184,0.175038,0.17896019,0.18251444,0.1863185,0.19133931,0.19956698,0.2058512,0.20845504,0.20684093,0.20678954,0.20905598,0.21182823,0.20930587,0.1993436,0.18269043,0.16601492,0.15707833,0.16246258,0.17937595,0.19924493,0.21148765,0.21201082,0.2025003,0.18939893,0.1800784,0.1778002,0.1795785,0.17890318,0.17453454,0.17024565,0.16911684,0.16754353,0.16250415,0.15789832,0.16477017,0.18791263,0.2211123,0.24923082,0.26277146,0.26127756,0.25258783,0.24285467,0.23486592,0.22667377,0.21529263,0.19871408,0.17966978,0.16359432,0.15434676,0.15058891,0.15176834,0.16093051,0.18205889,0.21039301,0.23461413,0.24635921,0.24723488,0.24218972,0.23115772,0.21052738,0.18411927,0.16432357,0.16397561,0.18078156,0.20170462,0.20977335,0.20127605,0.1798542,0.15688461,0.13770723,0.12852484,0.13028972,0.14624023,0.17223318,0.20144813,0.22205901,0.22860302,0.22269677,0.21326394,0.20761849,0.21098427,0.223327,0.2430489,0.2606205,0.2690072,0.2643366,0.2542239,0.24302763,0.22923124,0.20558345,0.17230487,0.14186846,0.13042751,0.14702177,0.18475221,0.22752218,0.25711513,0.26458335,0.2523533,0.23287702,0.2182554,0.21100138,0.20417471,0.18903895,0.16641034,0.14495794,0.13649529,0.1446256,0.16296566,0.17783111,0.17927365,0.16745515,0.1509946,0.13931675,0.13743015,0.14449851,0.15528595,0.16246872,0.16310489,0.16116127,0.16440721,0.17595571,0.19059281,0.19916202,0.19477035,0.17775021,0.15314658,0.12852165,0.109413795,0.099693805,0.09873783,0.10179043,0.1010839,0.09289811,0.08162922,0.076066814,0.08301825,0.10185679,0.1285464,0.15548652,0.17665021,0.18765241,0.1917318,0.19354677,0.19575049,0.19375356,0.18293656,0.16297728,0.14151298,0.13094781,0.1412934,0.17288071,0.21150886,0.24127035,0.25288168,0.25343543,0.24820358,0.24048258,0.22486155,0.2069245,0.19460617,0.19616432,0.20606215,0.2145407,0.21474536,0.20688035,0.19369616,0.17764431,0.16367349,0.15759312,0.16341351,0.1786123,0.19734669,0.21185923,0.21645878,0.20790936,0.18736535,0.15857382,0.12646519,0.09659758,0.07659548,0.074005365,0.092011176,0.12324426,0.15397485,0.17012136,0.16959287,0.15842171,0.14819556,0.14232697,0.14061277,0.13856559,0.13658124,0.13487782,0.13377762,0.1317985,0.12816758,0.124577075,0.12336653,0.1288207,0.14298226,0.16429614,0.18490095,0.1974833,0.20128621,0.20136018,0.20130344,0.19793808,0.18949354,0.1786447,0.17338252,0.17546384,0.18324482,0.19233781,0.20160615,0.20855254,0.2109483,0.20733899,0.19961363,0.1905411,0.18303128,0.17869918,0.17929278,0.185448,0.19811092,0.21439375,0.22681962,0.22317849,0.19700348,0.15431486,0.11391092,0.09550837,0.10688446,0.13869058,0.17118376,0.18949498,0.19324128,0.19211642,0.19417728,0.19803353,0.19979738,0.19695145,0.19216378,0.18602294,0.17973673,0.17269532,0.16656588,0.16193253,0.16037267,0.16296227,0.16997086,0.17937155,0.18718506,0.18956472,0.18525015,0.17661463,0.16943604,0.16820292,0.17408736,0.18386734,0.19545577,0.20847493,0.22315365,0.23622404,0.24174856,0.23618321,0.22034419,0.20009951,0.18165934,0.1710037,0.17198257,0.18394054,0.20146798,0.21605189,0.22545655,0.23397517,0.24815433,0.2652307,0.275481,0.2728561,0.26653364,0.27346858,0.3009199,0.33603942,0.355938,0.34828523,0.31761935,0.28050968,0.24939215,0.23135655,0.22452204,0.22453843,0.22269462,0.21277821,0.19356,0.17326917,0.16385019,0.17191146,0.19324201,0.21584629,0.23209618,0.24093543,0.24788177,0.2552825,0.26265296,0.26698664,0.2671851,0.26526344,0.26465166,0.2675438,0.2735491,0.27824494,0.27944115,0.2752608,0.26995882,0.2650788,0.26316652,0.26215506,0.2611662,0.25903356,0.25762537,0.25850078,0.26062518,0.25879192,0.25055513,0.2410326,0.24021047,0.25238645,0.26976585,0.28063905,0.2778787,0.26762995,0.2600429,0.2647145,0.2780614,0.2905846,0.2907648,0.2816651,0.27259457,0.27371278,0.27949688,0.28111437,0.2715135,0.25709075,0.24412324,0.23606908,0.22995012,0.22597693,0.22791249,0.23683822,0.24822082,0.25222054,0.2450077,0.22732574,0.20599966,0.18746996,0.17878191,0.18411447,0.2034055,0.23063152,0.25645626,0.2716056,0.27219996,0.25900334,0.23731472,0.2128859,0.19259663,0.18109976,0.179631,0.18370308,0.18730344,0.18517435,0.17794287,0.17012067,0.17143671,0.18762618,0.2174518,0.24761923,0.26497054,0.26435557,0.25519106,0.25077224,0.2588656,0.27491748,0.28728414,0.28604177,0.2692509,0.24285614,0.21306427,0.18425196,0.15797627,0.13973288,0.13502009,0.14813381,0.17472474,0.20665765,0.23418117,0.25264835,0.261705,0.26514181,0.2675223,0.2724725,0.28001428,0.287915,0.29171193,0.28853622,0.27630642,0.25702357,0.23619433,0.22226699,0.22274633,0.23769665,0.26087236,0.28008842,0.288358,0.28484693,0.27854833,0.27763912,0.28487018,0.29187456,0.28834116,0.26990268,0.24545813,0.22751051,0.22368789,0.22764887,0.23112641,0.22931468,0.22934449,0.2356174,0.24818037,0.25786185,0.26003143,0.25405797,0.24393548,0.23013057,0.21276273,0.1941197,0.18052137,0.17646758,0.1807698,0.1876957,0.19156796,0.1907608,0.18714757,0.18654782,0.19412385,0.21202701,0.23397164,0.25009504,0.2527384,0.24271661,0.22554511,0.20611174,0.1876836,0.17606811,0.17731088,0.19339238,0.21493328,0.23219804,0.23785663,0.23691292,0.23564987,0.24191253,0.2567781,0.27744403,0.29851183,0.3142738,0.32391277,0.32698703,0.32616138,0.31943652,0.306729,0.28865674,0.27094904,0.25822696,0.24971902,0.2415017,0.22983111,0.21861078,0.21203478,0.2144069,0.22264242,0.23413718,0.24274486,0.2468886,0.24520832,0.24656828,0.2584518,0.28517696,0.31440184,0.33263648,0.33115557,0.31644234,0.29659262,0.27867997,0.26586726,0.26296964,0.27138487,0.2866738,0.2981414,0.2993558,0.29119602,0.28253928,0.27773678,0.27373457,0.26135787,0.23883404,0.21582858,0.20652199,0.21516703,0.23146929,0.24184687,0.24410935,0.25037733,0.27380517,0.31512046,0.36212412,0.40234187,0.42953026,0.4431652,0.43910316,0.41772184,0.3840878,0.3545084,0.33661988,0.3291843,0.31787694,0.29411745,0.2577645,0.21797739,0.1831947,0.15676786,0.13781126,0.12554257,0.12208321,0.13298412,0.16068484,0.20012087,0.23581342,0.2550888,0.25614938,0.25070396,0.24722488,0.24866688,0.25412,0.27089772,0.30147383,0.33646348,0.3529494,0.33781278,0.29894093,0.2580373,0.23078305,0.21554069,0.20376445,0.19161177,0.18470405,0.18973786,0.20552135,0.2249011,0.23871808,0.24421273,0.2419063,0.23372972,0.21973972,0.2027408,0.19023496,0.18968147,0.20029573,0.21288572,0.21736073,0.21080948,0.19706279,0.18600112,0.18668972,0.2025126,0.22345637,0.23594232,0.23414497,0.22737646,0.22702353,0.23429978,0.23982488,0.23444802,0.21738653,0.19235308,0.1640383,0.13657732,0.11674279,0.11064737,0.11842159,0.13220604,0.14257501,0.146645,0.14998533,0.1572002,0.16597958,0.16719206,0.158442,0.14793251,0.14912437,0.16579868,0.1878851,0.20133793,0.20202737,0.19919537,0.20529918,0.22160125,0.23695444,0.2361561,0.21666418,0.18972415,0.17288303,0.17183053,0.17719011,0.17219912,0.15066136,0.12251388,0.106403,0.113491274,0.14000443,0.17247622,0.19861014,0.213417,0.21768199,0.21628092,0.21628965,0.22377186,0.23812144,0.25141397,0.2566092,0.25291047,0.24661988,0.24180578,0.23944773,0.23716688,0.23321138,0.22613041,0.21357255,0.19531865,0.17322715,0.15378828,0.14279963,0.14367667,0.15501279,0.1750539,0.20163691,0.232535,0.25896397,0.27203262,0.26509166,0.24329667,0.21551561,0.19107907,0.17221762,0.1561512,0.13846159,0.11723313,0.097879626,0.0888676,0.09537745,0.11136975,0.123752594,0.12293359,0.10907524,0.08976468,0.070587404,0.053890135,0.040249217,0.033205833,0.03791763,0.058546424,0.09515717,0.14124839,0.18520427,0.2137027,0.21872045,0.20206045,0.17479177,0.15208167,0.14270626,0.14636712,0.15362172,0.15719457,0.15292777,0.14228313,0.12556382,0.105366655,0.08467942,0.069133356,0.063419364,0.072250284,0.0958819,0.12742673,0.15123095,0.15393259,0.1338757,0.105071485,0.08398389,0.079406254,0.08704248,0.09813053,0.1059702,0.11027437,0.115945645,0.12874235,0.15314905,0.18679965,0.22389956,0.2546892,0.27272645,0.272886,0.2544876,0.22126359,0.18435667,0.15798843,0.1486692,0.14886224,0.14241886,0.120988615,0.09279994,0.07682388,0.08681109,0.11901406,0.1539175,0.16897023,0.1550249,0.12064243,0.083660334,0.05682231,0.043089237,0.040119845,0.048731357,0.07036021,0.10476613,0.14023745,0.16510122,0.17158055,0.17302744,0.18816875,0.23000467,0.28500938,0.32693574,0.33416128,0.3072092,0.2613278,0.21418636,0.17714785,0.15605547,0.15163599,0.15776284,0.16388349,0.16254364,0.15673055,0.15504895,0.16137119,0.16894734,0.16867019,0.15808111,0.14250661,0.12751207,0.11655423,0.112463616,0.1194733,0.13825502,0.16530222,0.19382127,0.21928054,0.23853219,0.25007045,0.2537274,0.25172922,0.24724163,0.24070035,0.22955723,0.21151133,0.18833429,0.16624723,0.15048446,0.14251816,0.13775426,0.13055538,0.117518894,0.102003634,0.09227186,0.09508265,0.11061523,0.12958752,0.14270067,0.14419371,0.13849635,0.13197249,0.1297416,0.1295607,0.12611209,0.1168549,0.1054407,0.099529885,0.10283696,0.11168012,0.11721384,0.112938255,0.100113384,0.085770465,0.076718174,0.074235536,0.074682035,0.07383373,0.07091686,0.07058082,0.078865565,0.098481156,0.12324909,0.14284258,0.14805968,0.13871276,0.12103448,0.105631866,0.100572884,0.10863169,0.12512559,0.14239718,0.15534629,0.16286547,0.16431887,0.15670717,0.13862172,0.11437237,0.09335487,0.08185885,0.07944973,0.0805491,0.082217276,0.0842076,0.087096006,0.08828195,0.085551165,0.07869957,0.07024832,0.06256544,0.058477107,0.061189096,0.07307824,0.09174285,0.10933742,0.11706906,0.11207938,0.10135862,0.09684309,0.106287986,0.12556154,0.14190608,0.14387555,0.13076593,0.1103704,0.092228256,0.08085525,0.08010917,0.0938467,0.12564093,0.17008346,0.21300876,0.23717321,0.23348491,0.2067303,0.17099811,0.14093825,0.124722384,0.1241233,0.13676335,0.1559123,0.17372717,0.18394698,0.18633349,0.18164249,0.16960822,0.14947225,0.12649162,0.1108993,0.110368796,0.12308928,0.13885498,0.14865775,0.14918786,0.1444384,0.13846123,0.13467701,0.13275762,0.13217938,0.1312477,0.12796399,0.11973068,0.10406365,0.082355924,0.05881029,0.039759118,0.02782727,0.022317452,0.01978246,0.017651847,0.01469493,0.011065037,0.007427539,0.0044776616,0.002557867,0.0015724128,0.0011878224,0.0010853359,0.0010809214,0.0010982609,0.001112539,0.0011154684,0.0011095043,0.0011401359,0.0013652709,0.0021244795,0.0038725443,0.0069814245,0.011504583,0.017179813,0.023568148,0.030306743,0.037000895,0.043144193,0.048039332,0.051218454,0.05298951,0.05452325,0.05747934,0.06252473,0.06875918,0.07384567,0.07632787,0.076848924,0.07779038,0.08076248,0.08557329,0.090714656,0.09512463,0.098357655,0.1009443,0.10450686,0.11134107,0.12370539,0.14087504,0.16046685,0.17650251,0.18438965,0.18042934,0.16711785,0.14881136,0.13035513,0.11313074,0.09767041,0.08600304,0.08108396,0.084101535,0.091611475,0.097664036,0.09726583,0.089682095,0.077911206,0.066314265,0.057687636,0.05266921,0.050204236,0.049168,0.04876734,0.048691586,0.04879285,0.04898152,0.049363147,0.050008655,0.051185522,0.053113714,0.05635586,0.0607979,0.065364875,0.0673444,0.064851716,0.058992803,0.055094633,0.0595358,0.07458071,0.09649071,0.11763499,0.132362,0.13855498,0.13716051,0.13000731,0.119805545,0.10954868,0.10104764,0.09387087,0.08694598,0.08003992,0.07517769,0.07377345,0.07636966,0.08050161,0.084515296,0.087184586,0.08971655,0.09152841,0.091157764,0.08663746,0.07953319,0.07381937,0.0723831,0.074118234,0.07480094,0.07203839,0.06683887,0.06304682,0.063067414,0.06616334,0.068864144,0.06769157,0.062177848,0.05514553,0.051558346,0.05554245,0.06816179,0.08665221,0.10499433,0.117789954,0.12267911,0.12200021,0.118937545,0.11492148,0.10797594,0.096535556,0.08208322,0.07028815,0.066819124,0.07339246,0.085968316,0.09786754,0.10450119,0.10563988,0.10375234,0.100601636,0.095978715,0.0898798,0.08384561,0.08095286,0.082255326,0.086487204,0.09005738,0.090713345,0.087684534,0.08248377,0.076338924,0.07032014,0.0645547,0.059702445,0.05645519,0.05569094,0.057306428,0.06064884,0.06402745,0.06600324,0.06534805,0.062497053,0.058403816,0.05481617,0.053419814,0.057234287,0.06836358,0.08604258,0.10343484,0.112119995,0.10682914,0.090751685,0.07194727,0.058856506,0.05566606,0.06211078,0.074240714,0.085382976,0.08946999,0.084653534,0.07578227,0.07059873,0.07403561,0.08486313,0.09750825,0.106837474,0.11021096,0.108300865,0.10311275,0.09741935,0.09277358,0.08874217,0.08322421,0.07443816,0.06377068,0.05529907,0.05362266,0.058755297,0.066278614,0.06955161,0.06631973,0.05870922,0.051720336,0.047753334,0.046836752,0.047149,0.047728542,0.048140988,0.048570137,0.048862603,0.048856158,0.04821068,0.047341447,0.04694244,0.047951296,0.049859945,0.051567193,0.05208972,0.053019647,0.057530433,0.068301745,0.08562934,0.108085394,0.13567877,0.16762625,0.2021688,0.23326759,0.25784743,0.27368495,0.2813071,0.27655387,0.25668737,0.22173117,0.17887975,0.13676473,0.10275879,0.080937825,0.072019115,0.073220104,0.078206085,0.08166435,0.08305957,0.08777321,0.10208658,0.12713706,0.15800546,0.18571104,0.2035265,0.20744091,0.19890906,0.1813535,0.16099255,0.14281142,0.13056715,0.124431185,0.12172087,0.118350945,0.111273296,0.10049679,0.08823195,0.078291304,0.07462174,0.08050305,0.095507085,0.114359595,0.12810789,0.13031034,0.12053756,0.10507857,0.09134676,0.084326826,0.08435323,0.08944833,0.097042315,0.10545048,0.11301715,0.11755788,0.11656624,0.10924166,0.09780469,0.08665218,0.07992992,0.07859864,0.080934994,0.0834078,0.08408479,0.0823204,0.07898978,0.07500205,0.07203699,0.0728265,0.07953114,0.091658235,0.10464648,0.112892844,0.11306444,0.10611322,0.09533311,0.08410609,0.07427139,0.067353934,0.06460004,0.06779068,0.07643667,0.08819988,0.098296404,0.10367727,0.10312273,0.09811661,0.089881815,0.079708755,0.068413965,0.057305757,0.047625806,0.040542636,0.03698833,0.037330862,0.040993076,0.04616566,0.05077227,0.05342683,0.054346487,0.05455834,0.055093307,0.0559414,0.05653684,0.056282517,0.055160124,0.053512413,0.05150257,0.048925478,0.045193184,0.03976977,0.032524746,0.023973333,0.015435095,0.008299604,0.0035689406,0.0011187106,0.00034760128]