[0.00038195506,0.00032225237,0.00020894036,0.00010251553,3.674414E-05,1.1188786E-05,5.2754926E-06,4.9856244E-06,4.5464385E-06,3.881619E-06,3.0999183E-06,2.4046362E-06,1.9144284E-06,1.6664773E-06,1.6107225E-06,1.6500426E-06,1.6851677E-06,1.6457493E-06,1.5397067E-06,1.4156507E-06,1.3794153E-06,1.5302934E-06,1.971767E-06,2.7153992E-06,3.82837E-06,5.8388046E-06,1.1044464E-05,2.452411E-05,5.331919E-05,0.00010445134,0.0001866796,0.00032161624,0.000545204,0.00088229944,0.0012920649,0.0016561501,0.0018463727,0.0018397503,0.0017510924,0.001749264,0.0019403194,0.0023324715,0.002862149,0.00341014,0.0038027067,0.0038880093,0.003654905,0.00329091,0.0030944655,0.0033445612,0.0042031445,0.0056179874,0.007251086,0.008527901,0.008981208,0.008565827,0.007730726,0.007060576,0.006999411,0.0077464483,0.009358027,0.011668052,0.014209864,0.016284779,0.01732111,0.017196601,0.01642509,0.016301898,0.018952765,0.026895061,0.041414622,0.061091308,0.08155754,0.098023765,0.10788358,0.11204034,0.113274775,0.114195436,0.11591917,0.11837379,0.121143006,0.124010436,0.12723571,0.1311751,0.13583344,0.14023606,0.14282542,0.14254044,0.13973086,0.1360998,0.13349624,0.13332365,0.13608547,0.1420154,0.1511385,0.16366494,0.17971176,0.19876315,0.21911831,0.2374597,0.2500821,0.2544305,0.25130633,0.24469648,0.24009337,0.24125783,0.2483039,0.25759247,0.2635062,0.26118955,0.24867445,0.22805835,0.2040055,0.18196642,0.16547136,0.15583028,0.15170969,0.1509194,0.1512957,0.15220451,0.1537056,0.15569313,0.15680398,0.15575746,0.15279002,0.15037285,0.15124427,0.15603335,0.16255246,0.16713496,0.16735591,0.16279577,0.15522712,0.14677586,0.13923615,0.13304059,0.12782331,0.12309703,0.11902905,0.11628886,0.115154356,0.114935465,0.114373274,0.11245782,0.10930433,0.105703734,0.10283673,0.10116926,0.1005958,0.10022003,0.09929272,0.097381204,0.09482189,0.092232406,0.09030684,0.08926722,0.08887533,0.08841175,0.08732832,0.08549092,0.08346952,0.08194444,0.08162052,0.08285615,0.08583078,0.090037405,0.09445552,0.09778056,0.09950649,0.10011091,0.100883156,0.10274664,0.10566667,0.10853317,0.11013613,0.11005362,0.10896065,0.10783684,0.10706577,0.10601898,0.1038231,0.10036563,0.097006686,0.09565329,0.09730392,0.1009562,0.10459415,0.10674622,0.10745191,0.107448466,0.10724499,0.106858425,0.10650533,0.106936954,0.108961545,0.112714104,0.117274605,0.12153989,0.124807395,0.12715803,0.12848873,0.12842406,0.12655564,0.123373576,0.119952776,0.11731869,0.11575884,0.11514631,0.11520252,0.11574325,0.116538495,0.11745277,0.11849779,0.1198292,0.12144651,0.12318376,0.12452576,0.12493967,0.12371204,0.120579965,0.115877114,0.11087582,0.107175946,0.10579338,0.10661554,0.10841725,0.11002331,0.1108673,0.111393064,0.11213393,0.1133346,0.11457529,0.11543853,0.1157885,0.11594636,0.116280384,0.11682234,0.117215715,0.116819106,0.115322374,0.112943225,0.110386394,0.10807409,0.10559824,0.102061816,0.09681628,0.09047497,0.08430859,0.07967058,0.07652063,0.07378486,0.069624245,0.06288222,0.053511113,0.04293139,0.03336775,0.02677834,0.023883842,0.02405086,0.02615601,0.029191464,0.032197088,0.033980254,0.033587933,0.031109339,0.027884522,0.025772661,0.026288921,0.029820403,0.03525694,0.03993359,0.041134927,0.037949543,0.032429215,0.027955495,0.026807083,0.028655276,0.03153847,0.03358604,0.034063626,0.033305716,0.032202885,0.031621177,0.03187469,0.032656565,0.03369723,0.035342168,0.038129535,0.04179166,0.044985577,0.046449702,0.04603157,0.04480986,0.044081673,0.044566233,0.04637919,0.049620476,0.055621427,0.06625416,0.08272428,0.10286632,0.1223464,0.13645577,0.14347269,0.14436246,0.14198282,0.13921835,0.13807952,0.13885261,0.13962005,0.13745525,0.13074933,0.12122622,0.11270463,0.10780004,0.10639039,0.10704274,0.109122545,0.111463286,0.11085066,0.10311394,0.08768872,0.07002195,0.058824394,0.06053118,0.07483635,0.09529846,0.11291208,0.12121063,0.11884756,0.10906508,0.09705057,0.08677134,0.079699576,0.07441221,0.06880124,0.062426124,0.058035046,0.058934405,0.065024436,0.071704395,0.07350281,0.06846907,0.058486972,0.046861723,0.036374155,0.029578546,0.028055968,0.031573627,0.037559025,0.044210803,0.051495895,0.06124145,0.07342405,0.08628497,0.09661808,0.1025202,0.102676004,0.09644515,0.08343267,0.06529104,0.04628955,0.03258465,0.02951523,0.038618356,0.056476396,0.07566413,0.0886077,0.090699404,0.08248473,0.0683248,0.054394428,0.046005223,0.046254355,0.05551648,0.07121531,0.08847091,0.10085895,0.10345278,0.09535739,0.08154539,0.07064107,0.070386015,0.0827815,0.101715736,0.11626948,0.11710176,0.1033495,0.08246698,0.06427915,0.053802654,0.049363285,0.04673529,0.04368456,0.042138163,0.046098366,0.057759102,0.07483378,0.09049356,0.09845132,0.09610944,0.08634499,0.07310656,0.059482753,0.046132233,0.03354051,0.022396782,0.01380366,0.008205221,0.0052428166,0.004035314,0.003972646,0.005292909,0.009238084,0.017260147,0.030001866,0.046235684,0.06336131,0.07803338,0.08773289,0.09097257,0.08820405,0.08112076,0.0725294,0.06467935,0.059078705,0.056027886,0.055610087,0.057501774,0.061172087,0.065431796,0.068990104,0.07082333,0.07067761,0.06896087,0.06656226,0.064342715,0.06279777,0.061765198,0.060776174,0.05937353,0.05749928,0.05536634,0.05329364,0.051514555,0.050137922,0.04925986,0.04892503,0.049133003,0.04976144,0.050682317,0.05180384,0.052976947,0.053902674,0.054172724,0.053600132,0.052378293,0.050985944,0.049788654,0.04885355,0.048077215,0.04748554,0.0473278,0.04791807,0.049466997,0.051967222,0.05519907,0.058705475,0.061966,0.06458801,0.06646321,0.06769242,0.06844485,0.06888015,0.0691283,0.06928546,0.06948633,0.069905736,0.07074696,0.07194537,0.073459305,0.07583633,0.080996044,0.09159956,0.1094222,0.13379036,0.16134161,0.18752857,0.20802481,0.2201026,0.2227691,0.21721138,0.20646071,0.19405752,0.18217425,0.17094223,0.16047567,0.15169203,0.14510979,0.1387157,0.13009165,0.11991768,0.11258002,0.11169531,0.11625624,0.121446125,0.122953124,0.12015607,0.115857236,0.113804005,0.11628553,0.12297966,0.13159733,0.1392948,0.14433433,0.14688654,0.14902027,0.15367633,0.16293842,0.17610061,0.18971251,0.19913523,0.20171271,0.19757287,0.18897599,0.17820947,0.16639012,0.15359801,0.1390989,0.12288639,0.10638591,0.093292125,0.08770841,0.092369296,0.10705898,0.12950681,0.15588701,0.18175966,0.20182341,0.21155931,0.20858721,0.19503152,0.17694496,0.16169597,0.1533221,0.150463,0.14871503,0.14475054,0.13863595,0.13163687,0.12438014,0.11659261,0.10927653,0.10427606,0.102865346,0.10385517,0.10563064,0.107031554,0.10914439,0.11252099,0.11787627,0.123892926,0.12936908,0.13221504,0.1315103,0.12722579,0.120415084,0.113026865,0.10697655,0.10417888,0.104498476,0.10648993,0.10823366,0.10949432,0.110810645,0.11145004,0.10914212,0.10222798,0.09262205,0.08486831,0.08312291,0.08757908,0.09454107,0.09890316,0.097778924,0.09165964,0.083343424,0.0752645,0.06850529,0.06287954,0.058278754,0.054815147,0.052808315,0.052140277,0.05235687,0.05280353,0.053051848,0.052969217,0.052690387,0.05236226,0.05205391,0.05176617,0.05160913,0.05182481,0.05263819,0.054015707,0.05567142,0.057281602,0.05881786,0.0604874,0.062458277,0.06447565,0.06579715,0.06566263,0.06374169,0.06075926,0.05810809,0.057355,0.059074488,0.0625827,0.06622962,0.06844807,0.068623,0.06726358,0.065504424,0.06431243,0.063986205,0.06432173,0.064900525,0.065546215,0.06610081,0.06653158,0.06668354,0.06665024,0.06654134,0.066555806,0.06667673,0.06688016,0.06715719,0.067547925,0.067970835,0.068234056,0.068220824,0.06798228,0.06760333,0.06700071,0.066038184,0.064721934,0.06334338,0.06218311,0.061457977,0.061202753,0.061499123,0.06224258,0.06325976,0.06429341,0.06536504,0.0666156,0.06818938,0.069969155,0.07172361,0.07315426,0.07401965,0.074149095,0.07359473,0.072641514,0.071637064,0.070786424,0.07007333,0.06951205,0.069154434,0.0691713,0.06961686,0.07128998,0.075986356,0.08697132,0.10600392,0.13185608,0.15833165,0.17879784,0.18860972,0.18899298,0.18375377,0.17777473,0.17313103,0.16965316,0.1648073,0.15643123,0.1446109,0.13288689,0.1258152,0.12516624,0.1278219,0.12836091,0.12361818,0.11548529,0.1089092,0.108016945,0.11296761,0.12065641,0.12706463,0.13000374,0.12918743,0.12545933,0.11958593,0.112632684,0.10588647,0.10059369,0.0969676,0.09445831,0.09233966,0.09057224,0.08940145,0.08896998,0.08903024,0.08939598,0.090175726,0.09146124,0.09310019,0.094577014,0.095629565,0.096103996,0.096090965,0.09543205,0.09421352,0.0925239,0.09081786,0.08987708,0.09220306,0.102114506,0.12330266,0.15322976,0.18105423,0.19354106,0.1854947,0.16357633,0.1392533,0.119389296,0.10434956,0.09367391,0.08957895,0.09585843,0.11321918,0.13943835,0.16942914,0.19906265,0.22393364,0.24190705,0.25121093,0.2531111,0.24960946,0.24421394,0.23910551,0.23616512,0.23591523,0.23849271,0.24248846,0.24599056,0.2467221,0.24340184,0.2352609,0.22270143,0.20688528,0.19006437,0.17438428,0.16142534,0.15161528,0.14415127,0.13724904,0.1287599,0.11817997,0.10760084,0.1021627,0.10677457,0.123122334,0.14697298,0.17147906,0.19081114,0.20367207,0.21074891,0.21285112,0.20895939,0.19822027,0.18096232,0.16013852,0.14014982,0.124814905,0.114555724,0.10687008,0.09944293,0.0935711,0.09345093,0.10173029,0.11631552,0.13008617,0.13588345,0.12973134,0.1139876,0.09464317,0.0784325,0.06867459,0.06520627,0.066537745,0.07228353,0.08329425,0.09954554,0.11859193,0.13588656,0.14662583,0.14778064,0.13978557,0.12700512,0.116453774,0.113509364,0.1187781,0.12754379,0.13421337,0.13536318,0.13106486,0.122411944,0.110866584,0.098082505,0.08707943,0.081131905,0.08208168,0.08847024,0.09664195,0.10288614,0.10590049,0.10632411,0.10533335,0.10323805,0.09944121,0.093738265,0.08653897,0.079340935,0.07318708,0.06862182,0.065192506,0.0625505,0.060602352,0.05965009,0.059936598,0.0614498,0.06383803,0.066502035,0.06879457,0.07030826,0.07099417,0.07117831,0.07133346,0.071841635,0.07270368,0.07345536,0.073426515,0.07217116,0.06986275,0.0671993,0.06494442,0.06342677,0.06232616,0.06105638,0.0591604,0.056737978,0.054242384,0.052190866,0.050754815,0.049760062,0.048899565,0.04792011,0.04673334,0.045325145,0.043745562,0.041936357,0.039698627,0.036820307,0.03334942,0.029760608,0.026636124,0.02434928,0.022761362,0.021488624,0.020158283,0.018722987,0.017371954,0.016319834,0.015974544,0.017447123,0.02339636,0.036833096,0.05928832,0.08813372,0.118179955,0.14394775,0.1635481,0.17766635,0.18861072,0.19744329,0.20437612,0.20873336,0.21011049,0.20882548,0.2060108,0.20398448,0.20497304,0.21067238,0.22013102,0.23026969,0.23654781,0.23623575,0.23024778,0.22345608,0.2215889,0.22727293,0.23802833,0.24832533,0.25413385,0.25599113,0.25834215,0.26538503,0.2778984,0.29206458,0.30318752,0.30805686,0.3078318,0.30488995,0.3018513,0.2982038,0.29287806,0.28522053,0.27827644,0.27610084,0.28091493,0.2896622,0.29728723,0.3003871,0.30024552,0.29964283,0.3009558,0.3041351,0.30851072,0.31240585,0.3144894,0.3139336,0.31170517,0.30976167,0.30988887,0.31288102,0.31858835,0.32638893,0.33507213,0.34302473,0.34891233,0.35244825,0.35458282,0.35661682,0.35932258,0.36276567,0.3669057,0.37202975,0.3785055,0.38599798,0.39361954,0.4002327,0.40566382,0.41075385,0.41745326,0.42778406,0.44256747,0.46039903,0.47739157,0.48915672,0.49282312,0.4889015,0.48049855,0.47199532,0.46643233,0.4636432,0.4583772,0.4428203,0.41110227,0.3650008,0.31301293,0.26627806,0.23247355,0.2141702,0.20890677,0.21171504,0.21727842,0.22238082,0.22603206,0.22860573,0.23032957,0.23127,0.23162489,0.23172921,0.23162597,0.2306033,0.22808807,0.22407502,0.21979344,0.2162968,0.21397185,0.21158947,0.20760381,0.20075269,0.19118477,0.17984778,0.16803364,0.15667617,0.14631663,0.13719264,0.12902258,0.121140905,0.1127218,0.10360051,0.094501816,0.086753495,0.08168548,0.07977622,0.08052335,0.082265906,0.08359217,0.08404214,0.08487151,0.08762112,0.0930806,0.10036161,0.10754349,0.11277794,0.11552841,0.11732987,0.121450186,0.13139741,0.14945193,0.17524092,0.20574673,0.23519146,0.2569249,0.26552477,0.2591394,0.24020337,0.21485287,0.19141333,0.17674512,0.17263515,0.17436403,0.17484932,0.16956998,0.15909757,0.14628541,0.1341235,0.12424315,0.117657594,0.113508366,0.10965856,0.10378149,0.096006356,0.08838805,0.08363527,0.08316777,0.08778047,0.09727638,0.11025637,0.12295574,0.1310454,0.13199659,0.12700674,0.119630076,0.11299235,0.10803613,0.10365995,0.098678164,0.09255776,0.085836194,0.07880029,0.071595855,0.06407047,0.056837738,0.050849795,0.047047913,0.045504943,0.045643896,0.046599362,0.047706906,0.048560467,0.048987005,0.04895262,0.048506215,0.047703993,0.046580017,0.04518774,0.04362346,0.042039026,0.040596515,0.039487496,0.038878888,0.03885723,0.039345246,0.040157806,0.041114762,0.04210793,0.043083575,0.043936852,0.04453796,0.044782266,0.044711754,0.04445454,0.044096705,0.043593857,0.042828143,0.041780327,0.040571485,0.03939979,0.038442314,0.037806597,0.037586298,0.037800044,0.038392384,0.0391883,0.040008333,0.0407224,0.04123783,0.04144096,0.041471124,0.04260909,0.048148558,0.062240493,0.086185716,0.11461344,0.1374249,0.14666557,0.14316815,0.13409026,0.12590212,0.11901582,0.11106733,0.10108972,0.09095905,0.08194306,0.074396335,0.06938201,0.07119101,0.08369657,0.10641422,0.13187468,0.15111108,0.15879385,0.15692626,0.15106511,0.14643292,0.14453955,0.1437581,0.14080952,0.13324125,0.12171846,0.11037586,0.10401577,0.10353044,0.10480324,0.10238901,0.095135815,0.087070346,0.08351243,0.086295165,0.093207635,0.100696556,0.10592929,0.10703217,0.1025664,0.09270661,0.079698645,0.067078196,0.057317287,0.051388945,0.0498509,0.054442033,0.067058556,0.087346606,0.110569656,0.12944035,0.13802439,0.13539565,0.12484854,0.11083838,0.09605726,0.08149137,0.06764723,0.055414584,0.045590837,0.038284313,0.03289798,0.02870234,0.025355319,0.022847442,0.021304354,0.020733185,0.021094913,0.02223742,0.023862759,0.025548158,0.026938736,0.028730167,0.033525933,0.04655841,0.07263504,0.11267515,0.16034715,0.20605423,0.24193911,0.2667503,0.28353253,0.29655185,0.30837664,0.32038274,0.33291024,0.34542763,0.3562225,0.3632103,0.36465564,0.35998252,0.35027543,0.3390161,0.3313861,0.3318909,0.3409861,0.35459718,0.36653724,0.3723813,0.37126592,0.36503628,0.35709226,0.3500395,0.34517017,0.34047553,0.33260763,0.318723,0.30052415,0.28417465,0.27699885,0.28215685,0.29593062,0.31106022,0.32153404,0.32555377,0.32303798,0.3126724,0.29255566,0.26388362,0.23410223,0.21370678,0.210229,0.22295524,0.24415211,0.26453507,0.2785246,0.2857499,0.28876913,0.29113302,0.29602352,0.30626228,0.3223528,0.34161946,0.35811412,0.36594248,0.36231253,0.34854484,0.328391,0.30455795,0.27804148,0.24823965,0.21582426,0.18276316,0.1523047,0.12653568,0.10580178,0.08875724,0.074717514,0.065849714,0.0680948,0.08765611,0.12495953,0.16993795,0.20559831,0.21740067,0.20205633,0.16760494,0.12688868,0.09034098,0.062969916,0.04519881,0.035005514,0.029910034,0.027980318,0.02790071,0.028589109,0.02897649,0.028368408,0.026742384,0.02471383,0.023145398,0.022995204,0.02565968,0.032773983,0.045204043,0.061368287,0.07738028,0.08903288,0.09448356,0.09484106,0.092588395,0.089575864,0.08628974,0.083095886,0.08192372,0.087273605,0.10370424,0.1320311,0.16621505,0.19668739,0.21597981,0.22370696,0.22475128,0.22529511,0.22918928,0.23787844,0.25079733,0.26545766,0.27783564,0.28447282,0.28562334,0.28586927,0.29178998,0.3072445,0.3311281,0.35777852,0.38000044,0.39175856,0.38928744,0.37382555,0.35183826,0.33553335,0.3343853,0.35059866,0.3755283,0.3975824,0.40702406,0.39983678,0.37506056,0.3345479,0.28277642,0.22789712,0.1792653,0.1446525,0.12675269,0.12392193,0.13301633,0.15375346,0.18901233,0.23970966,0.30056274,0.3596878,0.40644574,0.43525442,0.44776395,0.44841567,0.44345176,0.43765807,0.43353772,0.42986333,0.4241372,0.41452774,0.40096962,0.3843118,0.36598143,0.34730718,0.3277248,0.3029612,0.26846597,0.22559278,0.18662262,0.16702683,0.17517084,0.20396526,0.2383856,0.26471445,0.2783685,0.28188893,0.28261778,0.29061472,0.3155537,0.36039004,0.4150026,0.46016967,0.47952804,0.47240058,0.45244792,0.43656126,0.43235552,0.43689883,0.44223866,0.44116417,0.42804277,0.3985308,0.35257587,0.29734173,0.24597628,0.2089984,0.1879669,0.17560877,0.1645581,0.15383743,0.14887975,0.1547994,0.17079611,0.19061734,0.20736863,0.21833338,0.225326,0.23216863,0.24155824,0.2533525,0.2651801,0.27333418,0.27493957,0.26854038,0.25556087,0.2394198,0.22459452,0.21403563,0.20831622,0.20622621,0.20641614,0.20895596,0.21589305,0.23160093,0.26073328,0.30377164,0.3532233,0.3950733,0.41744402,0.41790676,0.40450713,0.38805187,0.37503472,0.36489034,0.3534709,0.33731624,0.3166851,0.2945994,0.27446386,0.2576744,0.24467015,0.23744912,0.2391013,0.2506427,0.26576364,0.27452037,0.26862144,0.24954416,0.22433513,0.20034419,0.17802732,0.15420866,0.12643185,0.09709603,0.07103993,0.05200875,0.04030177,0.03386688,0.030254466,0.028001107,0.026597967,0.025921358,0.02586896,0.026459984,0.028336575,0.032367144,0.038895417,0.04674621,0.053923175,0.058798682,0.061183196,0.06188569,0.061715066,0.06087567,0.059069157,0.05614309,0.0533865,0.05448707,0.06594158,0.09295622,0.13557456,0.18518923,0.23013794,0.26166227,0.28011826,0.29186824,0.30509278,0.3238711,0.34704342,0.36811924,0.3795165,0.3772032,0.36505103,0.3525242,0.3487608,0.3564657,0.37183,0.38834158,0.3996949,0.40023968,0.38415262,0.34906554,0.3000231,0.25154898,0.22085905,0.218244,0.24026637,0.2728765,0.300337,0.31225532,0.30451941,0.27730212,0.23491795,0.18640994,0.14284237,0.111687005,0.09338141,0.08417442,0.082408816,0.09314808,0.12501074,0.1822887,0.2559295,0.32637104,0.37368336,0.39192376,0.38925317,0.3809646,0.3774844,0.3825734,0.39372528,0.40622184,0.41393697,0.41330016,0.40450743,0.39207146,0.38012075,0.36989495,0.35782155,0.33870295,0.30973616,0.27456936,0.24248223,0.22197914,0.21538289,0.21766752,0.22255403,0.22653897,0.23013012,0.23423742,0.23799247,0.23776679,0.22864957,0.20745254,0.1778615,0.15302984,0.15124552,0.18218212,0.23779194,0.29445514,0.33099547,0.34028634,0.33027086,0.31137,0.2885016,0.26121578,0.22980721,0.2006657,0.18359292,0.1849047,0.20045803,0.21656735,0.21970852,0.20499708,0.17890339,0.15198451,0.13194254,0.12031665,0.11454856,0.11167847,0.10978963,0.10849462,0.10789462,0.10882031,0.112255596,0.11883678,0.12756062,0.13605894,0.14173062,0.14343922,0.14159738,0.13738455,0.13171192,0.12526399,0.119033895,0.114561446,0.11319602,0.114836395,0.1174935,0.11817529,0.11486099,0.10753731,0.0981648,0.08921818,0.08272492,0.07933439,0.07844015,0.07849331,0.0780955,0.07665896,0.07457352,0.07256437,0.071054436,0.07018891,0.07087582,0.07672242,0.09385866,0.12772475,0.17599155,0.2262073,0.25965703,0.26332426,0.23652345,0.19090773,0.14139675,0.099572755,0.070882335,0.05750678,0.061517585,0.0844296,0.12374864,0.1694892,0.20810999,0.23038834,0.23757547,0.23873515,0.24273603,0.25231794,0.263077,0.26684475,0.25574794,0.22798777,0.1925567,0.1684959,0.17493396,0.21632512,0.2772268,0.33115014,0.36031473,0.3642852,0.35566378,0.3440697,0.32911697,0.303701,0.26484472,0.21997677,0.18210179,0.16048245,0.15323775,0.15170212,0.14878653,0.14502652,0.14535181,0.15245908,0.16358383,0.17330591,0.17820495,0.17838252,0.17562409,0.17103581,0.1644076,0.15540083,0.14515011,0.13719374,0.13600872,0.14395417,0.15870969,0.17444663,0.18573762,0.19088966,0.19142288,0.18933557,0.18491717,0.1775169,0.1668487,0.15402056,0.14061756,0.12832813,0.1181908,0.11068401,0.10527814,0.10091406,0.09670383,0.09252599,0.08884972,0.08595615,0.083834775,0.08230279,0.081359684,0.08095346,0.080976486,0.08182117,0.08561664,0.09668075,0.11957397,0.1546296,0.19490533,0.22845368,0.24552977,0.24428643,0.22967829,0.20791686,0.18222757,0.15390739,0.12478321,0.09927356,0.08346412,0.084545046,0.1062415,0.14572746,0.19034006,0.22507007,0.240111,0.2385968,0.23133944,0.22969317,0.23697644,0.24833317,0.2533042,0.24279879,0.21487927,0.17935026,0.1545165,0.1578341,0.19321144,0.24734835,0.29727468,0.3265712,0.33357713,0.3283569,0.3187966,0.30439532,0.27879056,0.24229592,0.20531856,0.18296565,0.18066321,0.1901065,0.19597133,0.19033249,0.17679621,0.16451079,0.15780027,0.15495308,0.15285712,0.15190463,0.15408655,0.15985261,0.16657555,0.17117484,0.17208576,0.16998224,0.1662767,0.16191013,0.15693223,0.15093745,0.14380716,0.13562538,0.12667207,0.11717547,0.10781612,0.09957498,0.09333206,0.08890321,0.08521363,0.081018746,0.07602426,0.070669,0.06557592,0.060904603,0.05658943,0.052599136,0.049048383,0.046173707,0.044165384,0.043118868,0.04277083,0.042592566,0.041868266,0.040282723,0.03961962,0.045267213,0.06548039,0.10438877,0.15571518,0.20203029,0.22612734,0.22141321,0.19524264,0.16058648,0.12808971,0.10260582,0.08500049,0.07535598,0.07541874,0.089822195,0.121520676,0.16624965,0.2097102,0.23640035,0.23990889,0.22818212,0.21549244,0.21246015,0.21935184,0.22829528,0.22791708,0.21058975,0.17697416,0.13944998,0.116950035,0.12692806,0.17213629,0.23861878,0.30067837,0.33933643,0.35001287,0.34242108,0.32553735,0.30182052,0.26814798,0.22560872,0.18175511,0.14623658,0.12396398,0.11358862,0.11198669,0.11710328,0.12798026,0.14125766,0.15176494,0.15454252,0.14835845,0.13560261,0.121063255,0.10945365,0.10345588,0.10236817,0.10268971,0.10091132,0.09665915,0.09297148,0.093797915,0.1002205,0.110113166,0.1197535,0.12688942,0.13125807,0.13413322,0.13720578,0.14153671,0.14690305,0.15115815,0.15156128,0.14629476,0.13587639,0.12286284,0.110336065,0.1007754,0.095121495,0.09368535,0.09642727,0.10365167,0.11535037,0.1309733,0.14901261,0.1669882,0.18224126,0.1936213,0.20308383,0.21477093,0.23040272,0.24618538,0.2538754,0.24891889,0.23452194,0.22010343,0.21202625,0.20900351,0.20339514,0.18826176,0.16222884,0.13030107,0.100831635,0.0820123,0.079148956,0.093138225,0.11966463,0.15022127,0.17576689,0.19057763,0.19414245,0.18904579,0.17962782,0.17063959,0.16768621,0.17399211,0.18896444,0.20735823,0.22377849,0.23525755,0.24297959,0.24942572,0.25657624,0.26356196,0.26783714,0.2663202,0.2586344,0.24726516,0.23615688,0.2280705,0.22656918,0.24073012,0.2851053,0.36743033,0.47566494,0.57850283,0.6451386,0.6627067,0.6374013,0.5848232,0.5205636,0.46059144,0.4154247,0.38866162,0.37430558,0.3655618,0.3588005,0.35451594,0.3525138,0.3497808,0.34229085,0.32787123,0.30789044,0.285069,0.26216266,0.2411036,0.22569911,0.22203332,0.23651427,0.26967362,0.31234887,0.34890902,0.36547396,0.35725594,0.32702535,0.28136036,0.22747298,0.17465024,0.13270813,0.10804552,0.10015634,0.102875434,0.10908007,0.1139731,0.1165616,0.11805931,0.12078137,0.12584554,0.13394172,0.14529155,0.16081469,0.18030709,0.20206185,0.22283502,0.23916626,0.24758327,0.24425143,0.22663026,0.19665062,0.16320713,0.13886017,0.13272828,0.14432788,0.16478659,0.183594,0.19565578,0.20293735,0.21151417,0.22693594,0.25067422,0.2787135,0.3029193,0.31573734,0.31441975,0.3017516,0.2816563,0.2557332,0.223345,0.18582682,0.14811584,0.117197774,0.097332664,0.088320434,0.08621439,0.08712048,0.08904635,0.09230872,0.097472794,0.10407296,0.110127546,0.11339707,0.11334192,0.11328992,0.1207112,0.14323068,0.1818289,0.2273252,0.26497856,0.28470218,0.28602812,0.27558115,0.25838074,0.2357151,0.20631726,0.17237516,0.13886194,0.11180923,0.093342096,0.08216226,0.075541995,0.07259848,0.07403749,0.07987534,0.0881922,0.096382536,0.10481125,0.11811497,0.14291807,0.18170385,0.22885181,0.27238163,0.3012376,0.3119556,0.31026068,0.30729127,0.31356838,0.33335686,0.36235297,0.39030245,0.40776613,0.41175637,0.4063379,0.3984616,0.39312443,0.39133105,0.390931,0.38982594,0.38805768,0.38783443,0.39038074,0.3940343,0.3951912,0.39175692,0.38433743,0.3739386,0.35749507,0.3284373,0.28203276,0.2240966,0.17022653,0.1366533,0.12700737,0.1298884,0.12851776,0.11351713,0.088645704,0.06456151,0.05052134,0.04882975,0.05706321,0.07191005,0.09099599,0.111890614,0.13037364,0.14251833,0.14678459,0.145513,0.14228918,0.13993621,0.14001833,0.14441507,0.15605104,0.17693184,0.20517261,0.23417886,0.25877857,0.28250328,0.32083288,0.3873471,0.4808775,0.5757994,0.63990515,0.6490814,0.60470223,0.5251692,0.4379544,0.36301574,0.30944255,0.27539626,0.25592536,0.24699748,0.24658732,0.25315267,0.26494107,0.2798556,0.29478276,0.305858,0.31019258,0.30802462,0.30281362,0.29827806,0.29604745,0.29461804,0.29194486,0.28668526,0.2795794,0.27160445,0.2637289,0.2553953,0.24544139,0.23171927,0.21338616,0.19183098,0.17163284,0.15698443,0.1483888,0.14137274,0.13055414,0.11380202,0.09336316,0.073299475,0.057787742,0.051850006,0.06235067,0.0951462,0.1489893,0.21188176,0.26580155,0.29789606,0.30811322,0.30580735,0.29801297,0.2834634,0.2562578,0.21733926,0.17621398,0.14622681,0.13318065,0.13465114,0.1427222,0.1506961,0.1535558,0.14803936,0.13324036,0.11293138,0.09603992,0.09265227,0.10825338,0.13953173,0.17625426,0.20726575,0.22697264,0.23645402,0.24041986,0.24257861,0.24441676,0.24530242,0.24359228,0.23678237,0.22306603,0.2029681,0.17997879,0.15887871,0.14316227,0.13374095,0.12937509,0.12834466,0.12968384,0.13360494,0.14065702,0.15055479,0.16150375,0.17101784,0.17758393,0.1818406,0.18586831,0.19153328,0.19896542,0.20682333,0.21294726,0.21537495,0.21269882,0.2048888,0.19354983,0.18130678,0.1703163,0.16120856,0.15355892,0.14679407,0.14086117,0.13569997,0.13098718,0.12618044,0.12125022,0.116882294,0.11409503,0.113613516,0.115619995,0.120069444,0.12653668,0.1339184,0.14017858,0.14336438,0.14265865,0.13877851,0.13311344,0.12685089,0.12083902,0.11574236,0.112028815,0.1095097,0.107418,0.105024196,0.1022321,0.09954488,0.09737534,0.095806986,0.094722174,0.09414053,0.09399476,0.093907654,0.093273796,0.09188137,0.09015984,0.08913519,0.08966562,0.09206555,0.09566953,0.09935776,0.1021429,0.10408024,0.10621788,0.10986314,0.11550066,0.12232258,0.12892751,0.13410701,0.13756126,0.13947831,0.1403564,0.14051574,0.14017715,0.1392685,0.13768129,0.13538201,0.13260151,0.12942554,0.12553059,0.11989962,0.11140794,0.09967003,0.08619979,0.07482616,0.07063433,0.07790867,0.09710217,0.124030404,0.1504675,0.1686243,0.1740128,0.16781749,0.15431333,0.13902833,0.12568896,0.11602658,0.10922313,0.1033754,0.09684954,0.08953738,0.08263884,0.07732777,0.07396266,0.07192734,0.07064459,0.07003294,0.07062588,0.07270676,0.075755544,0.078408204,0.07926738,0.07774016,0.0742751,0.069944866,0.065800555,0.06265898,0.061158586,0.06189065,0.06499048,0.06981504,0.07476594,0.07819673,0.079239674,0.07833319,0.07658043,0.07518975,0.075746275,0.08069963,0.09214002,0.1084583,0.12223947,0.1238471,0.10847946,0.08100708,0.05231221,0.032690402,0.027128322,0.03632522,0.05731393,0.08434027,0.11006329,0.13056596,0.14631474,0.15964212,0.16828395,0.16662025,0.15062925,0.12474737,0.09989539,0.0860044,0.084197015,0.08683726,0.08549825,0.07769989,0.06752058,0.05888414,0.052255575,0.04485488,0.035519876,0.02522905,0.01653142,0.010612197,0.0074040354,0.0058429833,0.0050793407,0.0045705573,0.0041342936,0.0037428206,0.0034433745,0.0032696035,0.0033392513,0.0041521457,0.006888485,0.013065276,0.023384431,0.036692906,0.05010076,0.060717892,0.067179985,0.07013279,0.07107383,0.07129925,0.0715354,0.07220604,0.0738366,0.07644547,0.07947413,0.08158463,0.08200175,0.08079785,0.078977264,0.07740748,0.07659706,0.07702256,0.07993755,0.08763584,0.10282346,0.12662475,0.15632208,0.18433641,0.20061465,0.19830626,0.17896847,0.1540342,0.13903962,0.1452623,0.17221242,0.2085302,0.23881781,0.25361213,0.25310263,0.24452938,0.23473863,0.22583859,0.21587354,0.20347951,0.19133689,0.1844237,0.18556093,0.19146036,0.19437818,0.18608062,0.16352099,0.13077712,0.09766483,0.073500074,0.06284109,0.065347604,0.08015988,0.10603297,0.13894536,0.1696348,0.18901114,0.19404817,0.1893323,0.18199046,0.17612953,0.17238134,0.16908187,0.16488928,0.15859789,0.14976235,0.13790119,0.122855105,0.1051572,0.0868507,0.0706198,0.05838032,0.05013266,0.04495823,0.041808393,0.040112574,0.03913455,0.038203984,0.036831036,0.03512894,0.033415705,0.031953365,0.030972227,0.031148538,0.034075085,0.04124922,0.05277596,0.066102244,0.07761917,0.08457834,0.08687186,0.0860113,0.08381519,0.08131688,0.079139054,0.07800949,0.07866209,0.08105407,0.08399301,0.08624306,0.08859832,0.09462878,0.10847288,0.13120155,0.15898184,0.18590064,0.20774521,0.22413798,0.23585944,0.24243921,0.24133913,0.23028548,0.21010661,0.18591768,0.16652162,0.15954949,0.16720898,0.1831096,0.19607957,0.19653286,0.18344419,0.16541417,0.15535049,0.16161571,0.18227531,0.20692134,0.22439112,0.22998422,0.22702415,0.2219009,0.21719421,0.20879811,0.18956156,0.15667026,0.115439154,0.07684484,0.050807983,0.041017752,0.044784978,0.0557669,0.06908371,0.08175311,0.09346066,0.102847494,0.110769756,0.12001266,0.13648674,0.16102272,0.18612576,0.19798632,0.18748248,0.15669219,0.11669012,0.07921447,0.051240463,0.03485901,0.030054078,0.036103964,0.051861744,0.07470652,0.099837385,0.12036749,0.13018443,0.12765674,0.117664546,0.10800191,0.10360601,0.10317793,0.10129789,0.09406957,0.08146596,0.06855903,0.06254984,0.07099058,0.09682443,0.13486317,0.17306466,0.19804873,0.20448716,0.1958458,0.18188906,0.17033912,0.16493802,0.16474457,0.16723748,0.16930656,0.1699958,0.1694618,0.16889364,0.16649574,0.16038889,0.14892344,0.13473423,0.12118273,0.112009905,0.10838207,0.110250615,0.11587643,0.12323152,0.1303417,0.1361425,0.14049558,0.1437016,0.14608936,0.14747147,0.14742446,0.14543964,0.1408651,0.13347398,0.12352786,0.11284977,0.10339758,0.09709319,0.0950509,0.098921806,0.10980517,0.12571871,0.13976908,0.14305855,0.13154581,0.10940954,0.086176544,0.069245026,0.06026404,0.056452543,0.05486174,0.054432217,0.05556797,0.058492962,0.062397618,0.06575396,0.06733508,0.06687566,0.06500068,0.06252027,0.06002292,0.057711165,0.055649165,0.053767476,0.052105766,0.050711136,0.049725812,0.049019005,0.04836254,0.04746483,0.0463759,0.04535338,0.044783358,0.04497193,0.046018112,0.047702048,0.049374368,0.050306406,0.050052986,0.048789576,0.047029775,0.04536337,0.044522703,0.045906723,0.051709283,0.06362075,0.08103141,0.100089125,0.115588926,0.1237063,0.1240743,0.1189523,0.11145415,0.1036635,0.09638534,0.08954986,0.08311632,0.07735094,0.07263902,0.06899244,0.0659975,0.0631478,0.06036138,0.05791342,0.056550786,0.057513695,0.06294071,0.07478298,0.092971615,0.11430729,0.13432604,0.15090664,0.16571383,0.18179326,0.19990827,0.21761347,0.23190548,0.24188204,0.24884808,0.25402725,0.25595257,0.25083566,0.23498487,0.20941581,0.18091416,0.1602063,0.15645689,0.17323,0.20633309,0.24488139,0.275384,0.28768644,0.28043404,0.26097524,0.24096803,0.22929734,0.22924395,0.23810768,0.25058588,0.2599925,0.26145327,0.25254595,0.23575757,0.21556014,0.19593585,0.17695898,0.15777312,0.14043254,0.13123132,0.13477117,0.14791091,0.15924285,0.15809584,0.14258057,0.122210205,0.10914805,0.10916958,0.1167322,0.12110267,0.114988185,0.09967491,0.08170725,0.06682231,0.05665822,0.05036821,0.047723904,0.05075429,0.062262803,0.08301169,0.1093542,0.13466026,0.15308815,0.16309148,0.16621585,0.16434728,0.15740341,0.14569938,0.13088651,0.116667874,0.1056087,0.09876127,0.0951158,0.09345884,0.09264925,0.0920733,0.0912942,0.09019649,0.088974826,0.08806791,0.0875926,0.08725193,0.0865586,0.08565014,0.08527061,0.08636704,0.08918189,0.093233556,0.0976353,0.10183313,0.105729766,0.10950542,0.11328167,0.11700336,0.12081528,0.12504154,0.13035567,0.13718511,0.14582662,0.15601374,0.16722095,0.17862356,0.18964802,0.20029086,0.21133147,0.2242422,0.24000984,0.2579672,0.27487925,0.28699067,0.2923638,0.29255378,0.29085556,0.2899295,0.28975996,0.2877029,0.27997875,0.26511022,0.24560569,0.22757022,0.21571773,0.21145397,0.21220566,0.21550368,0.21975267,0.22519587,0.23204523,0.24057114,0.25007245,0.25971296,0.26817286,0.2754803,0.28206864,0.28914294,0.2961298,0.3013262,0.30188897,0.2962788,0.28545785,0.2732474,0.26440012,0.26167545,0.26476955,0.27175355,0.28135285,0.29322633,0.30730608,0.32557583,0.3544123,0.40431058,0.47919607,0.56883293,0.6467664,0.6869636,0.67582816,0.6200975,0.5387538,0.45491186,0.3862469,0.33946443,0.3099505,0.28792074,0.26758686,0.25120077,0.24451405,0.2501002,0.26368076,0.27810457,0.28789094,0.29178214,0.2914299,0.28924844,0.28769502,0.28842565,0.2922651,0.29847682,0.30532178,0.31056094,0.31156406,0.30590066,0.29211104,0.27211142,0.25057754,0.2330491,0.2219223,0.21642387,0.21380465,0.21200736,0.20926332,0.20395811,0.19453467,0.1831467,0.17777456,0.19156076,0.23176177,0.2920697,0.35099554,0.38911697,0.4000175,0.39396596,0.38334313,0.37535498,0.37021482,0.36769465,0.3684962,0.37272504,0.37798297,0.38005832,0.3751751,0.36129424,0.3386828,0.30952197,0.27748367,0.24655087,0.22001927,0.19939537,0.18473732,0.17528851,0.17110951,0.17354001,0.18489164,0.2057545,0.23282598,0.2588235,0.2766032,0.28330302,0.28156278,0.27608943,0.2701431,0.26402938,0.25707754,0.24899893,0.24054982,0.23132275,0.219113,0.20020823,0.17308025,0.14038174,0.10859447,0.08385905,0.06854321,0.060577303,0.05627741,0.053541154,0.053627715,0.059681177,0.073969744,0.094846286,0.11723719,0.13530098,0.14637671,0.15185769,0.15550959,0.16019815,0.16623606,0.17199828,0.17587699,0.1778096,0.17909835,0.18129887,0.18494587,0.18921043,0.192176,0.19185215,0.187286,0.17962456,0.17197514,0.16808839,0.16991627,0.17622693,0.18320744,0.18756856,0.18910997,0.1909561,0.19675696,0.20791562,0.22314154,0.23983546,0.2569667,0.2759848,0.30106476,0.33316165,0.36508986,0.38054302,0.3659366,0.3223794,0.26745263,0.22230698,0.19790977,0.19241963,0.1975616,0.20624024,0.21431924,0.22063105,0.22532846,0.22998168,0.2357602,0.24337368,0.25177515,0.25950208,0.26506844,0.2687162,0.27202365,0.27722168,0.28539392,0.29591104,0.30675492,0.31600216,0.32274994,0.3273245,0.3303976,0.33252555,0.3340557,0.33551106,0.33820722,0.3444017,0.3567221,0.37468222,0.39216366,0.39804542,0.38367176,0.3493555,0.30859423,0.28272793,0.2961428,0.36005044,0.46627584,0.5799763,0.6621061,0.6844705,0.6482384,0.5729138,0.48682582,0.41144034,0.35734272,0.3239635,0.30514136,0.29576024,0.2933806,0.29703036,0.30385575,0.31002203,0.31277582,0.31285858,0.31325662,0.3164476,0.32190844,0.32681572,0.3288376,0.32841215,0.32830444,0.33036935,0.3335487,0.33422542,0.33021712,0.32242954,0.31440076,0.30881524,0.30673948,0.3081571,0.31261042,0.31804454,0.32070577,0.31789127,0.31082907,0.3036082,0.3002232,0.30283156,0.31392166,0.333311,0.35486567,0.36433837,0.35102597,0.31630373,0.27503595,0.24185227,0.22245531,0.21287902,0.20759577,0.20430751,0.20440067,0.20992677,0.22111756,0.23514152,0.24684536,0.25099418,0.24464937,0.22862118,0.20641287,0.1825562,0.16036665,0.141825,0.12765367,0.11807493,0.11282124,0.11148253,0.11437469,0.12206707,0.1345508,0.14871983,0.15951015,0.16186647,0.15560383,0.14563185,0.13992263,0.14336713,0.15542789,0.17070091,0.18353486,0.19045784,0.19062704,0.18372156,0.16873898,0.14503868,0.114731096,0.08509282,0.06605154,0.06600355,0.08534285,0.116487525,0.14664045,0.16635995,0.17337938,0.17339711,0.17391443,0.17973357,0.19052254,0.20304614,0.21399575,0.22208862,0.22792165,0.23239477,0.23541634,0.23620509,0.23469692,0.23207349,0.2296412,0.22752577,0.22495817,0.22185762,0.21950424,0.2194271,0.22152765,0.22392362,0.22419055,0.22088046,0.21335483,0.20098214,0.18329607,0.16120331,0.13824305,0.119116925,0.10756054,0.104976594,0.113846265,0.14171354,0.2004403,0.29529706,0.41320094,0.52277,0.59115267,0.60301834,0.56599873,0.50130814,0.4307222,0.36919436,0.32319197,0.29288113,0.2763264,0.272397,0.28007558,0.2956518,0.31245998,0.32445395,0.32911444,0.32771125,0.32189548,0.3129647,0.301636,0.2907407,0.28346202,0.28281316,0.28851494,0.29852903,0.30916283,0.31745636,0.32162067,0.32144725,0.31802604,0.31200472,0.30433834,0.29548052,0.28710803,0.27991083,0.27424595,0.26930547,0.2653439,0.26449215,0.27289522,0.3009942,0.3581166,0.4420742,0.53205365,0.5969496,0.6148097,0.58613986,0.5302933,0.4690032,0.41595972,0.3746388,0.34376636,0.32027945,0.30161366,0.28650284,0.27491128,0.2674537,0.26366135,0.262229,0.26126865,0.2599406,0.25845477,0.25752172,0.2569723,0.25572136,0.25268102,0.2481429,0.24370205,0.24138898,0.24236758,0.2467513,0.25392595,0.2629967,0.27299666,0.28292596,0.29196286,0.29934302,0.3043234,0.30641803,0.30606663,0.3049834,0.30533767,0.30872616,0.31518292,0.3239667,0.33336842,0.3419232,0.3479067,0.35158014,0.35424852,0.35821304,0.36359182,0.3688126,0.3711712,0.36961356,0.36495557,0.35980973,0.35652092,0.35638893,0.35884523,0.36282352,0.3672334,0.3715552,0.37472856,0.3751414,0.37128738,0.36361584,0.3551307,0.34994426,0.35061264,0.35642174,0.36421475,0.37059245,0.3737849,0.3741577,0.3731312,0.37211373,0.37118945,0.3697367,0.366955,0.36334518,0.36025766,0.35943434,0.3614795,0.36557078,0.3695495,0.37172553,0.37367764,0.3821915,0.40761074,0.45478043,0.51527554,0.5656851,0.58250064,0.55696374,0.5026423,0.44309983,0.3963629,0.36564353,0.3441136,0.3243277,0.30387196,0.2845451,0.26886997,0.258029,0.25200704,0.25019047,0.25150555,0.2544662,0.25739443,0.2593193,0.26003325,0.26016787,0.26025477,0.26058176,0.2608341,0.2607412,0.26047453,0.26093718,0.26312485,0.26725784,0.2725124,0.27771762,0.2820923,0.28563568,0.2885674,0.2913476,0.2942051,0.29745314,0.30089483,0.30484495,0.31044862,0.3202784,0.33506155,0.35178122,0.3634913,0.36527932,0.35775915,0.3468342,0.33803955,0.33328757,0.33114216,0.32974505,0.3283827,0.32767513,0.32839778,0.3310338,0.33485457,0.33851352,0.34046555,0.340462,0.3396084,0.33962807,0.3412399,0.3437402,0.34570315,0.34626612,0.34517157,0.3425742,0.3382386,0.33254987,0.3266301,0.32289803,0.3228332,0.3261166,0.33032277,0.33304384,0.3326752,0.32759258,0.31619427,0.29816055,0.27705646,0.25809965,0.24583872,0.24349874,0.2579515,0.3003446,0.37730828,0.4785637,0.5742133,0.63125104,0.6320602,0.5845769,0.51147866,0.43810666,0.3809884,0.34777078,0.3368118,0.34077606,0.34916785,0.35338667,0.34947798,0.33841184,0.32339397,0.30687347,0.29016778,0.2744191,0.2619367,0.25469455,0.25291392,0.25457132,0.25711071,0.25924262,0.26093963,0.26295736,0.26553726,0.26877674,0.27212796,0.27494133,0.27613893,0.27528822,0.2726984,0.2696835,0.26721802,0.26565325,0.26438162,0.26325178,0.26269934,0.26486316,0.27193734,0.28560925,0.30281463,0.31732142,0.32154787,0.31474623,0.30223677,0.29255697,0.2891202,0.29043087,0.29291424,0.29603693,0.301391,0.31037775,0.32073605,0.32817778,0.32865843,0.32236874,0.31309533,0.30590245,0.30380142,0.30630398,0.31121382,0.31637302,0.3230892,0.33498704,0.35574445,0.38385174,0.412758,0.4339259,0.44168326,0.4338273,0.4107772,0.3752936,0.33378902,0.29608545,0.2717677,0.26636514,0.27826768,0.30009234,0.32173035,0.3354939,0.33982837,0.33792782,0.335258,0.33372438,0.33359635,0.33278847,0.3317639,0.33082542,0.3317485,0.33449864,0.33852232,0.34049073,0.33582523,0.31997392,0.29341283,0.2636845,0.2443497,0.24684922,0.27314892,0.31240493,0.34788796,0.36709535,0.36816967,0.357911,0.34396723,0.33038428,0.3164374,0.30020472,0.28076434,0.260138,0.24300301,0.23453979,0.23800547,0.2518767,0.26955524,0.28085086,0.27818996,0.26209465,0.24186726,0.22822261,0.2251241,0.228408,0.23120677,0.23160721,0.23344065,0.24327536,0.2631596,0.28872326,0.31026062,0.31859806,0.30924594,0.2835047,0.24716789,0.20734274,0.17102142,0.1428832,0.124931775,0.11614129,0.1137922,0.11487161,0.116755016,0.117385395,0.11524124,0.10997516,0.102546416,0.09480814,0.08846507,0.08448375,0.08300359,0.08362772,0.08569577,0.08834377,0.0907875,0.09235605,0.092896484,0.092582054,0.09206739,0.09184173,0.09217986,0.09280305,0.09350976,0.094163485,0.09474775,0.09486679,0.094057836,0.09230832,0.090370186,0.08914488,0.088621624,0.08785524,0.08580247,0.08266911,0.079539,0.07753656,0.07670891,0.07660707,0.076707214,0.0769146,0.077101946,0.077217996,0.07720689,0.07721289,0.07731778,0.077551365,0.07783618,0.07807388,0.07809503,0.07768191,0.07662904,0.07489691,0.07260666,0.07003759,0.06740741,0.06491285,0.06258111,0.060396183,0.05821256,0.055970475,0.053675134,0.051473826,0.04948093,0.047770992,0.046279732,0.0449373,0.04368731,0.042625055,0.041900087,0.04166859,0.04198196,0.04274122,0.043780986,0.044901717,0.04618782,0.048540067,0.05465113,0.068250194,0.09091765,0.11762041,0.13839866,0.14551766,0.14195575,0.13827713,0.14388901,0.15806694,0.1731425,0.18090074,0.1800489,0.17673051,0.18191315,0.2038583,0.24235006,0.28838536,0.33112645,0.3644904,0.38803422,0.402602,0.4073613,0.40064886,0.38286814,0.3576446,0.3303781,0.30505228,0.2815565,0.2553725,0.22164124,0.1800979,0.13722183,0.10170608,0.079236984,0.071168624,0.078864895,0.10545862,0.15174805,0.20969938,0.2623705,0.29228136,0.28985754,0.25776887,0.20660639,0.15143466,0.10517033,0.07694762,0.0683377,0.07531116,0.08897648,0.10021605,0.103224345,0.099542946,0.09723818,0.10483015,0.12381679,0.14556432,0.15785225,0.15320843,0.13477604,0.111667454,0.09325599,0.08367463,0.084011465,0.093813725,0.11269212,0.13805543,0.1651426,0.18857177,0.20520985,0.21505821,0.22011416,0.22278686,0.22429122,0.2238542,0.21872199,0.2063067,0.1860621,0.16046743,0.13344859,0.11074129,0.09984422,0.1091373,0.14128041,0.18849514,0.23400176,0.26245293,0.26837632,0.2569767,0.23684399,0.2137572,0.18895333,0.16157976,0.13135155,0.10008589,0.07168334,0.05057021,0.040485922,0.04338413,0.060116496,0.088423334,0.12297475,0.15440176,0.17481722,0.18000442,0.17203884,0.15486072,0.13259526,0.10798321,0.08417485,0.06448828,0.051831454,0.04809269,0.054728437,0.07171931,0.09611353,0.12111559,0.13992175,0.1492734,0.1512902,0.1502204,0.14938907,0.14948426,0.14939284,0.1476409,0.14340968,0.13688152,0.1286311,0.11880312,0.107132085,0.09368193,0.080208905,0.0693383,0.062956624,0.059794486,0.056559384,0.050311808,0.041419376,0.032732908,0.027188241,0.025483431,0.026384957,0.028490828,0.031340167,0.035210747,0.040078368,0.045390073,0.05064996,0.05622153,0.06303889,0.07163268,0.08094305,0.08856643,0.09178406,0.08935138,0.08259755,0.07471684,0.069087334,0.06677583,0.066760056,0.06638198,0.06326463,0.056055743,0.045609657,0.03537164,0.02952219,0.031135881,0.039215535,0.049960572,0.057576757,0.058628887,0.0529373,0.044248655,0.036951587,0.03434879,0.037819315,0.047132317,0.060610127,0.07448689,0.08466732,0.08792257,0.08405551,0.074842386,0.06373088,0.054198295,0.048932362,0.048278477,0.049945135,0.05055584,0.04817755,0.04334834,0.038089715,0.033495635,0.02972517,0.026229464,0.023473708,0.021869525,0.02161689,0.021607554,0.020547012,0.017588977,0.013208783,0.008632814,0.0050544064,0.0029023224,0.0019296148,0.0016213277,0.0015796645,0.0016004866,0.0016140919,0.001608167,0.0015904136,0.0015700354,0.0015502482,0.0015246876,0.0014835782,0.0014232333,0.0013695518,0.0016351426,0.0033152318,0.008767302,0.020873107,0.041027397,0.06701478,0.093334556,0.11402446,0.12598519,0.12987398,0.12874615,0.12580758,0.123207636,0.12172657,0.121197976,0.12121061,0.12145891,0.121926,0.12240508,0.122697555,0.12266106,0.12262847,0.123069756,0.12438401,0.1266826,0.12988073,0.13365735,0.13734072,0.14004023,0.14108764,0.14041936,0.13858168,0.1362455,0.1344428,0.1352111,0.14282994,0.16187148,0.19380485,0.23276623,0.26813486,0.29009613,0.29606962,0.28913718,0.2740697,0.25349173,0.22973849,0.20611991,0.18686928,0.1747678,0.17122656,0.17635967,0.18887216,0.20449436,0.21799211,0.2261033,0.22983836,0.23154764,0.23155689,0.22742976,0.21706752,0.20196371,0.18660599,0.17565675,0.170829,0.17055939,0.17143255,0.17056668,0.16779466,0.16552664,0.1667607,0.17182948,0.17847882,0.18343973,0.18514474,0.18336226,0.17876756,0.17183971,0.16308868,0.15323685,0.14432476,0.14088763,0.14859472,0.17045929,0.20262088,0.23587887,0.26110998,0.27500477,0.27953228,0.27789378,0.27073622,0.25679538,0.23584355,0.21080013,0.18713649,0.17006464,0.16208284,0.16189812,0.16579911,0.16954064,0.16994941,0.16529304,0.15542395,0.14207852,0.12846197,0.117942475,0.112037785,0.109924324,0.109366395,0.108486615,0.10661089,0.10399139,0.10122889,0.09875382,0.09679949,0.09529227,0.09386573,0.09218037,0.090117365,0.088120855,0.08680242,0.086717464,0.0880012,0.0903806,0.09329253,0.09607471,0.09817881,0.09943765,0.099984825,0.100208096,0.10031045,0.100286424,0.09992934,0.09894874,0.09717822,0.09448425,0.09112287,0.08761547,0.08483238,0.08348668,0.08387651,0.085616715,0.08795496,0.09008666,0.09177483,0.093128085,0.09453199,0.09594154,0.09712774,0.09764582,0.097338796,0.096301675,0.09504747,0.09429262,0.09473545,0.096577294,0.09947526,0.10330679,0.10954859,0.12210015,0.14462149,0.17691313,0.2113597,0.23659809,0.24237035,0.2265835,0.19489942,0.15981592,0.13451956,0.12983698,0.14762458,0.17997219,0.21042188,0.22492017,0.21922345,0.20151488,0.18374826,0.17438896,0.17578642,0.18788826,0.21026815,0.24119318,0.2755037,0.30603954,0.3267064,0.3358532,0.33558702,0.33030728,0.3234857,0.3173087,0.312225,0.30864656,0.30677724,0.3069105,0.30833235,0.30929336,0.30703434,0.29888237,0.284206,0.26573336,0.24982293,0.24286301,0.24801032,0.2623233,0.2798003,0.2950181,0.3066151,0.31516525,0.31973574,0.3164195,0.30225167,0.28063834,0.26183853,0.25594056,0.2646974,0.2798601,0.29117262,0.2941403,0.29200208,0.2893602,0.2878571,0.28578922,0.28130877,0.27286354,0.25818655,0.23507464,0.20475191,0.17412017,0.15264878,0.14623182,0.15299733,0.16501977,0.17378862,0.17523104,0.17115355,0.16696149,0.16778888,0.1751489,0.18629228,0.19598083,0.1994614,0.19574599,0.1881652,0.18351687,0.18653028,0.19794296,0.21350592,0.2294652,0.24421883,0.25934348,0.2764534,0.2968004,0.32124457,0.35000357,0.37990877,0.40266517,0.40870157,0.39495006,0.36949956,0.34633163,0.33533224,0.33614814,0.34179762,0.34566307,0.3456482,0.3424553,0.3367717,0.3288115,0.31973767,0.3116282,0.30380931,0.2908996,0.2654657,0.22588943,0.17953606,0.1394716,0.11591226,0.11205364,0.12418002,0.14551426,0.16884859,0.18898626,0.20334846,0.21209116,0.21708868,0.22113378,0.22677134,0.23470414,0.24339135,0.2504929,0.2556991,0.26117742,0.2684054,0.27451217,0.27241883,0.25644955,0.22787564,0.1952703,0.16914809,0.15511836,0.15210645,0.15507309,0.16040415,0.16756803,0.17707224,0.18762107,0.19573109,0.19851916,0.19508825,0.18683678,0.17634673,0.16708446,0.16286685,0.16577536,0.17501639,0.18633674,0.19540258,0.19959004,0.1999079,0.19853829,0.19750993,0.19621027,0.19255877,0.18404113,0.17079943,0.15544482,0.14205185,0.1327117,0.12721054,0.12363723,0.120852314,0.11846892,0.11651526,0.114566594,0.11228907,0.10981088,0.10762618,0.106019445,0.10481852,0.1036694,0.10242033,0.101158984,0.10023291,0.099915974,0.10047445,0.101682216,0.1032149,0.104676604,0.10612688,0.10798302,0.11046318,0.11402455,0.118757725,0.12587409,0.13578874,0.14861822,0.16139597,0.17054039,0.17277402,0.16950345,0.16562307,0.16824086,0.1819245,0.20745343,0.24052747,0.2742788,0.30194524,0.32029065,0.32941785,0.33077356,0.32572177,0.3160932,0.30445552,0.29176548,0.27580878,0.25325796,0.22412193,0.19343352,0.16835608,0.15474637,0.15631896,0.17420875,0.20615743,0.24391122,0.27695343,0.2957853,0.29695714,0.2801596,0.24854822,0.2073198,0.16585167,0.13312975,0.114347965,0.10745939,0.10701815,0.107780404,0.10929478,0.116194546,0.1373043,0.17860942,0.23703282,0.29777125,0.34349516,0.36514446,0.36711666,0.36087826,0.35584083,0.35489598,0.35599974,0.35571983,0.35158777,0.34182358,0.32515326,0.29940227,0.26390955,0.22068357,0.17671746,0.13998114,0.11608713,0.105023295,0.10353592,0.10761726,0.11355557,0.11771654,0.11671818,0.110083215,0.10054106,0.09280928,0.09003922,0.09291922,0.10030955,0.11073334,0.12195679,0.13073133,0.13352291,0.12924019,0.12011313,0.11051167,0.10415206,0.102766044,0.106530905,0.11429978,0.12415037,0.13323502,0.13976853,0.14367463,0.14732748,0.1528774,0.16086511,0.16876274,0.17372538,0.17433949,0.17242883,0.17085348,0.17212366,0.17684484,0.18459551,0.19407944,0.20382704,0.2124293,0.21924599,0.22450803,0.22880793,0.23262596,0.23597229,0.23874696,0.24075055,0.24200694,0.24252708,0.24219394,0.24016124,0.23479553,0.22423227,0.2078997,0.18748713,0.16672218,0.1495291,0.13828202,0.1327935,0.13092935,0.13011767,0.12904607,0.12814009,0.12859644,0.13100746,0.13510495,0.14046736,0.14730643,0.15587723,0.16554618,0.1740945,0.17875047,0.17773819,0.17160757,0.1628716,0.1546541,0.14903992,0.14650919,0.14624356,0.14711727,0.14817788,0.14890033,0.14894271,0.14833133,0.14732909,0.14678794,0.1482441,0.15440686,0.16808097,0.19035196,0.2184702,0.2467045,0.26899275,0.28220057,0.2867942,0.2857398,0.28205952,0.27678254,0.26810196,0.25281295,0.22945975,0.20060037,0.17199291,0.14914739,0.13416076,0.12569985,0.12123709,0.12034462,0.12529795,0.1396488,0.16396467,0.1936246,0.2204674,0.23864973,0.24947493,0.25976908,0.27596003,0.2983224,0.32175937,0.33974323,0.34855828,0.3480314,0.34073612,0.33006993,0.31853998,0.30642155,0.2923272,0.27508518,0.25533298,0.23541726,0.21781899,0.20415331,0.19500796,0.19064148,0.19093692,0.1950059,0.20096438,0.20667344,0.21077567,0.21306227,0.21397592,0.21429817,0.21524177,0.21858613,0.22557646,0.23566632,0.24629278,0.25443545,0.25837055,0.25808704,0.2544931,0.24854366,0.24116276,0.23351412,0.22700368,0.22289984,0.22181194,0.22344196,0.22662435,0.22969127,0.23121206,0.23082429,0.22972018,0.23001261,0.23323165,0.23902519,0.24508028,0.24857865,0.24789155,0.24386866,0.23960902,0.23910342,0.24479234,0.25579396,0.2679132,0.27613366,0.27773702,0.27409407,0.26942125,0.2677896,0.2702041,0.27430078,0.27647695,0.27481973,0.27040786,0.2663082,0.26541337,0.2691702,0.2765719,0.28492075,0.2898427,0.28866053,0.28160533,0.27322242,0.26812354,0.26830134,0.27151275,0.27425167,0.27405515,0.27048886,0.26437366,0.25729513,0.25104585,0.24697573,0.24510051,0.24437712,0.24354531,0.24215172,0.24061441,0.23960452,0.23946597,0.23996449,0.24071676,0.24124378,0.24136221,0.24100052,0.24072057,0.24119319,0.24320167,0.24677515,0.25154805,0.25669083,0.26156875,0.2656463,0.26873964,0.27082932,0.27219462,0.2732307,0.27452478,0.27671158,0.28028286,0.28526488,0.29105803,0.2967957,0.30166504,0.30505455,0.30636922,0.30482697,0.29999375,0.29207385,0.28266287,0.27383196,0.26762047,0.26475582,0.26499757,0.26714608,0.26978287,0.27189383,0.2736864,0.2765201,0.280979,0.2856991,0.2874438,0.2844994,0.27793524,0.2714014,0.26764157,0.26725385,0.2692913,0.2735206,0.28140366,0.29459813,0.3130741,0.33385894,0.35253796,0.36534283,0.37077847,0.36902687,0.36065486,0.34664652,0.32947418,0.31382826,0.30371276,0.29954,0.296798,0.28976724,0.2755189,0.25571278,0.23473082,0.21783392,0.21298921,0.23408549,0.29722872,0.40711996,0.54229707,0.6592167,0.71579415,0.6986216,0.6279587,0.54060405,0.46618912,0.41606987,0.3869245,0.37065327,0.36183217,0.35867262,0.36046287,0.36477062,0.3680956,0.36801243,0.3649294,0.3611851,0.35957524,0.36190882,0.36857066,0.37771645,0.385802,0.3888838,0.38531026,0.3762735,0.3655026,0.3568182,0.3528943,0.353645,0.3568795,0.35975745,0.36144102,0.36351272,0.36802137,0.37340188,0.37335935,0.35952523,0.32864904,0.28663027,0.2469833,0.22292294,0.21941252,0.23100406,0.2450381,0.2503936,0.24285918,0.22707622,0.21039484,0.19758701,0.18863815,0.182325,0.17959379,0.1834609,0.19608718,0.21623214,0.23948117,0.26062095,0.27603808,0.2850736,0.28930697,0.29304314,0.30441812,0.33762237,0.40529776,0.5065238,0.6154565,0.69296247,0.70974416,0.6664199,0.58836365,0.5056393,0.43741778,0.3890237,0.35900673,0.3427911,0.3353851,0.3318425,0.32860652,0.3234078,0.31414196,0.29904282,0.27799806,0.2539385,0.23137338,0.21340954,0.19978277,0.18921594,0.18228297,0.18357073,0.19817567,0.22799195,0.26701006,0.30327842,0.3241093,0.324635,0.30983374,0.2907541,0.2764361,0.27001265,0.26908243,0.2692056,0.26666296,0.26049542,0.2531235,0.24918841,0.25209573,0.26084128,0.26996604,0.27372548,0.2709776,0.2656902,0.2621909,0.25851095,0.24695545,0.22084461,0.1834945,0.14652775,0.12151083,0.11062863,0.10790581,0.10618031,0.10365536,0.1032678,0.10794624,0.116422035,0.12404168,0.1273578,0.12848808,0.13470168,0.15183318,0.1779838,0.20222782,0.21374394,0.20985512,0.1989253,0.19098501,0.190974,0.19622184,0.2025618,0.20746082,0.21101624,0.21389641,0.21645935,0.21830988,0.21806729,0.213652,0.20271923,0.18385206,0.15741186,0.12621528,0.09451639,0.066549666,0.04479484,0.029878855,0.020813724,0.016020855,0.01379124,0.01294015,0.012772451,0.013029466,0.013534936,0.014162204,0.01476523,0.0152541725,0.015572553,0.015751347,0.015879294,0.016085448,0.016376011,0.01782911,0.025991285,0.05510004,0.12515216,0.24769087,0.40791258,0.56283754,0.6619987,0.67783976,0.61826044,0.5179699,0.41515943,0.33658206,0.29034647,0.27154973,0.26912954,0.27412915,0.2812691,0.28785142,0.2917068,0.292053,0.2905047,0.29058444,0.29484436,0.30296636,0.31175736,0.3175799,0.3188207,0.31672168,0.3143604,0.31396818,0.31583324,0.31833842,0.31987438,0.32014325,0.32002375,0.32069615,0.32163414,0.32122853,0.31736848,0.3098336,0.30010888,0.29106182,0.285241,0.28362796,0.2850071,0.28696105,0.2876929,0.28690138,0.2836671,0.27562177,0.25968257,0.23663895,0.21144755,0.19117767,0.17980932,0.17729767,0.18064894,0.18673415,0.1932177,0.19896907,0.20367076,0.20773949,0.21131009,0.213418,0.21084832,0.20163488,0.19119735,0.19927208,0.25147265,0.3608261,0.50799423,0.64843863,0.735861,0.74912477,0.6954194,0.6009628,0.49524212,0.4025261,0.3355329,0.2948934,0.2724847,0.258805,0.24787611,0.23863237,0.23168771,0.22732,0.22364189,0.21823592,0.20905937,0.19668747,0.18504076,0.18127936,0.19262983,0.22198904,0.2641646,0.30825743,0.34342703,0.365731,0.37765422,0.3840826,0.38797727,0.39043963,0.3926381,0.3956702,0.3997085,0.40339673,0.40528738,0.4047226,0.40123534,0.3943753,0.3840333,0.3723276,0.3619913,0.35447422,0.34766713,0.33925512,0.32963118,0.32266155,0.32140204,0.32493284,0.32945538,0.33170906,0.33147964,0.3301629,0.3290562,0.32794675,0.32597718,0.32273784,0.3187102,0.3136374,0.3038667,0.28301975,0.24726093,0.20246391,0.16464342,0.15207939,0.17353924,0.22268343,0.2818982,0.33277562,0.364858,0.37829658,0.37969267,0.37665164,0.37386557,0.37268338,0.37221828,0.37095523,0.36809024,0.36370957,0.35848054,0.35299933,0.34772468,0.3431666,0.339746,0.3375374,0.33600023,0.3344183,0.3325679,0.33122602,0.33162713,0.33458206,0.33928323,0.34355423,0.3444421,0.34004414,0.3300191,0.3158716,0.299618,0.28407338,0.2720388,0.26621377,0.26572955,0.2666417,0.26339054,0.25720546,0.2579623,0.2842884,0.3499134,0.45527887,0.5791634,0.68864256,0.7513868,0.75202054,0.69803905,0.6151099,0.53438574,0.47618732,0.44385242,0.42693305,0.41364053,0.39945254,0.38784692,0.38203382,0.37943593,0.37160134,0.35436425,0.33055744,0.30882043,0.2942413,0.28795564,0.28983355,0.30113912,0.32344043,0.35335293,0.384406,0.40685716,0.41448498,0.40415135,0.3796774,0.34897062,0.32244882,0.30479217,0.29212752,0.2747021,0.2481401,0.21854442,0.19939993,0.20245461,0.22879417,0.26644316,0.29241207,0.28844067,0.2531875,0.20644099,0.17190607,0.16136666,0.16783895,0.17622055,0.17476851,0.16193348,0.14346148,0.12583984,0.11186111,0.10080121,0.092957854,0.0899538,0.092328064,0.09595155,0.09524936,0.08812351,0.07822313,0.07053192,0.06687372,0.064909786,0.061919987,0.057429448,0.0532628,0.050759662,0.04907514,0.0461582,0.04094464,0.035070654,0.031358883,0.03184691,0.03583838,0.040579814,0.042919904,0.041307013,0.03650612,0.030646918,0.025888467,0.023116777,0.022111842,0.021719517,0.020964647,0.019399824,0.017716574,0.016855547,0.017381301,0.01868183,0.019690724,0.019556863,0.018391648,0.016893178,0.015808957,0.015484248,0.015918646,0.017121749,0.018973097,0.021145694,0.022922367,0.023643618,0.022969695,0.021164529,0.019120282,0.017995017,0.018486584,0.020089477,0.021630952,0.022204094,0.022077737,0.02181526,0.021729006,0.021323465,0.020424588,0.019145878,0.018057086,0.017200356,0.016539002,0.016057417,0.01619704,0.017097978,0.018320449,0.019014096,0.01885633,0.018317318,0.018115157,0.01835765,0.01847406,0.017943427,0.016912097,0.016147016,0.016336972,0.017673725,0.01974333,0.021853546,0.023252701,0.023398519,0.02216546,0.01998662,0.017733743,0.01623609,0.015802225,0.016126439,0.01664163,0.016982066,0.017069886,0.016973808,0.016723884,0.01628624,0.015633075,0.0146880625,0.013410791,0.011886937,0.01053299,0.009958257,0.010550211,0.01217544,0.014223832,0.016107768,0.017479852,0.01822344,0.018280253,0.017674921,0.016717916,0.01576865,0.015094227,0.014591814,0.014221708,0.014020299]