[0.0032534203,0.0033595546,0.0036324423,0.0040776846,0.0046831793,0.0054132896,0.0062151044,0.0070307236,0.0077884556,0.008407884,0.008791008,0.008838003,0.008442356,0.007543936,0.0062100827,0.004719828,0.0034921214,0.003005413,0.0038698735,0.007096173,0.013933853,0.024898306,0.038638104,0.051918905,0.061439306,0.065965414,0.06719765,0.0682727,0.07140548,0.0762626,0.080503665,0.0818399,0.07999924,0.07691052,0.075041346,0.075472675,0.07747126,0.07965704,0.08144658,0.0832553,0.08588576,0.089823,0.095374525,0.10257555,0.11092559,0.11874563,0.12367445,0.12377453,0.11886088,0.11057108,0.10138872,0.09339902,0.08750644,0.0837366,0.0815255,0.0803154,0.07941219,0.078317516,0.076661974,0.07451192,0.07204237,0.06951991,0.06707963,0.065004475,0.063561626,0.06288451,0.06264994,0.062270593,0.061332006,0.059889257,0.05839044,0.057199877,0.05634876,0.055614475,0.054921106,0.054636568,0.055232007,0.056715656,0.058224704,0.058679517,0.057583332,0.05547728,0.053251322,0.05148877,0.05022205,0.049477708,0.04962091,0.05107184,0.05376154,0.05678096,0.059115935,0.06024387,0.060601935,0.06097002,0.062080014,0.06436217,0.06814107,0.07368934,0.08111373,0.09014321,0.09999118,0.10936317,0.11687187,0.121605076,0.12373123,0.124480754,0.12549858,0.12794204,0.1319261,0.13684921,0.1418262,0.14615029,0.14925979,0.15103275,0.151738,0.15193945,0.1518588,0.1514305,0.15031011,0.14827012,0.14485712,0.13976608,0.13305794,0.12558791,0.118215345,0.11107791,0.103349455,0.09419694,0.083784044,0.073515825,0.06530278,0.060575906,0.05973989,0.06222726,0.06682574,0.07205102,0.07658296,0.079523645,0.080579065,0.07983418,0.07778581,0.07518404,0.07302874,0.072213136,0.07322324,0.07584576,0.0790334,0.081290506,0.081311814,0.07893827,0.07526898,0.07212421,0.07076439,0.071205504,0.07232395,0.07270416,0.071398586,0.068312496,0.06414588,0.060021024,0.056759175,0.05451122,0.05279286,0.051265348,0.050270867,0.050997853,0.05503051,0.0629838,0.07360718,0.08322941,0.08803531,0.08596047,0.07836941,0.06832404,0.058833554,0.05139415,0.046582844,0.04482539,0.0464263,0.05098164,0.056835502,0.061884332,0.06457355,0.06473821,0.063147746,0.060854267,0.058569293,0.056792542,0.056213032,0.058251735,0.06458662,0.07591641,0.09041944,0.10427349,0.11373043,0.11763844,0.11767716,0.1167716,0.11697211,0.11866019,0.1209608,0.12284518,0.12379361,0.124124706,0.124360435,0.12485538,0.12530185,0.12531815,0.12456497,0.123056106,0.12080177,0.1183531,0.1169158,0.11804295,0.12194594,0.12684508,0.12983088,0.12917854,0.12526055,0.11989293,0.11459307,0.11007542,0.106467485,0.1042022,0.10350958,0.10408463,0.1044297,0.10325349,0.10006389,0.095778964,0.09133595,0.0872426,0.08329674,0.079412885,0.07586768,0.07319659,0.071482085,0.07000595,0.067620866,0.063876405,0.059622467,0.056420263,0.055152,0.055371553,0.056095365,0.057141185,0.05921708,0.0627982,0.06674973,0.06906081,0.06814649,0.06430439,0.058907513,0.053644154,0.049456175,0.046930153,0.046522822,0.049000334,0.054672938,0.06249645,0.06966475,0.07316401,0.071798325,0.06712518,0.062207084,0.059688944,0.06068042,0.064969175,0.07176441,0.08000907,0.088314824,0.09495253,0.09867587,0.09935829,0.09811682,0.09627385,0.094669916,0.09342677,0.09251025,0.092286415,0.09363259,0.09732602,0.10292071,0.10850337,0.11186186,0.112229995,0.110854305,0.10965004,0.10956996,0.10991961,0.109465174,0.10778629,0.1059683,0.1056326,0.107515804,0.11076102,0.113652945,0.114849485,0.113842554,0.110884935,0.10656612,0.10209564,0.09882053,0.09807435,0.0999676,0.103697784,0.107275076,0.10906134,0.10802275,0.10474374,0.10043339,0.096393354,0.09320869,0.09122773,0.09128589,0.0944818,0.101407886,0.11074298,0.11986259,0.1258202,0.12729341,0.12459928,0.1194348,0.11353206,0.10826909,0.10415255,0.10106536,0.09833383,0.09528469,0.091553725,0.08739502,0.083486296,0.080483526,0.07867003,0.077844545,0.077688515,0.07772719,0.077320576,0.07575551,0.07278565,0.06911012,0.06568763,0.063147865,0.06124088,0.059782464,0.058809698,0.058693733,0.059401184,0.060792685,0.06251959,0.064155646,0.06469503,0.06326908,0.05968443,0.05493236,0.050265905,0.046459917,0.043587163,0.04157487,0.040802512,0.04176083,0.04459304,0.048478547,0.052265123,0.055011436,0.05660795,0.057359856,0.057701837,0.05787328,0.058199476,0.059097424,0.061088663,0.06406786,0.067212485,0.06904793,0.068767995,0.0665144,0.06342279,0.0604752,0.05828632,0.05714239,0.05780671,0.061968226,0.07174417,0.08798372,0.10854425,0.12864555,0.14353131,0.15120499,0.15308432,0.15205765,0.1503074,0.14814228,0.14466049,0.13915618,0.13196547,0.12450558,0.11811646,0.11381322,0.1118524,0.112204164,0.11407089,0.11680791,0.12096884,0.12990402,0.14770953,0.17585243,0.20953171,0.24011761,0.25986382,0.26681128,0.2643783,0.25810787,0.25180882,0.24542089,0.2360196,0.22092493,0.2005678,0.17851906,0.15791112,0.1396043,0.122181274,0.10506958,0.08910227,0.0760577,0.06693225,0.061792094,0.06019887,0.061574202,0.06498166,0.06895536,0.071936995,0.07305871,0.07242782,0.070665784,0.06830516,0.06552564,0.06262087,0.06009676,0.058874235,0.05954662,0.062134463,0.065604605,0.06863166,0.07043672,0.071637996,0.07368151,0.07764706,0.08326306,0.08943528,0.095314495,0.100868195,0.10620632,0.1109474,0.114501916,0.11696887,0.11945593,0.123340845,0.12942846,0.13768418,0.14775044,0.15929031,0.17205931,0.1853926,0.19799192,0.20793062,0.21351735,0.21409084,0.21057744,0.20491512,0.19911109,0.19433515,0.19086175,0.18873079,0.18839562,0.19085254,0.19644743,0.20431693,0.21229143,0.21884508,0.22340797,0.22648077,0.2275129,0.22505558,0.21714441,0.20395993,0.18821114,0.17479025,0.16783626,0.16931343,0.17739396,0.18739736,0.19274993,0.18885875,0.17570956,0.15946697,0.14917222,0.15165381,0.16692293,0.18837936,0.20772256,0.22005445,0.22525442,0.22506654,0.22054881,0.21228242,0.20197825,0.1926622,0.18702231,0.18605763,0.18874519,0.19266047,0.19491297,0.19468254,0.19485027,0.20197584,0.22075404,0.2501657,0.2815284,0.30526552,0.31546322,0.31385902,0.30526888,0.294438,0.28183594,0.26551536,0.24361454,0.21862154,0.19603275,0.18141371,0.17551886,0.17616934,0.17953803,0.18366767,0.18663263,0.18800168,0.18765105,0.18626194,0.1828609,0.17535447,0.16267331,0.14787363,0.13773616,0.13849969,0.15082209,0.16900063,0.18442075,0.19102204,0.18723166,0.17501695,0.15704411,0.13526037,0.112161875,0.09279311,0.085377164,0.09723816,0.12940325,0.17416792,0.21893942,0.25342685,0.27374646,0.2814139,0.278832,0.26757047,0.2492963,0.22784089,0.20803119,0.19336067,0.18465082,0.18105157,0.18180744,0.18654281,0.19505435,0.20598036,0.21691005,0.22531836,0.23047431,0.23375653,0.23621558,0.23709148,0.23409913,0.22637041,0.21505778,0.20220904,0.18932731,0.17700672,0.16594826,0.15702477,0.15251078,0.15562499,0.16945381,0.19300091,0.22057007,0.24380748,0.2573311,0.25991488,0.25401708,0.24317802,0.23255938,0.22777128,0.23270525,0.24656546,0.26421,0.27875856,0.28443494,0.2779617,0.26031193,0.23688115,0.21623792,0.2045462,0.20198627,0.20158887,0.19473688,0.1764917,0.14952707,0.12176358,0.102576084,0.09905389,0.11440209,0.1467911,0.18833037,0.22770184,0.25474682,0.26594236,0.26426458,0.25572634,0.24449074,0.23088662,0.21305245,0.18992017,0.16482358,0.14454828,0.13603188,0.14054804,0.1537443,0.16846608,0.17977186,0.18500476,0.18341208,0.17525549,0.16175807,0.14463039,0.12533815,0.10795828,0.098242156,0.101340175,0.11446122,0.12770076,0.12957998,0.11710293,0.098227195,0.086561956,0.09141866,0.11201469,0.13992089,0.16594987,0.18488544,0.19412148,0.19103353,0.1736964,0.1454242,0.11656932,0.09983484,0.10233911,0.12024664,0.14144202,0.15299256,0.15047811,0.14099032,0.13752137,0.14805852,0.16852702,0.18757606,0.19577788,0.19186328,0.17901772,0.1603476,0.13828355,0.118266076,0.1095261,0.11908525,0.14528252,0.17619444,0.19785206,0.20274644,0.19451582,0.18245459,0.17412795,0.17022543,0.16786164,0.16723144,0.17298435,0.18866432,0.20813896,0.21923482,0.21314007,0.19426054,0.17482726,0.16541047,0.16697334,0.17339176,0.17614365,0.16968398,0.15403415,0.13635972,0.12660539,0.131106,0.14700288,0.16556744,0.17848186,0.18352777,0.18289162,0.17978637,0.17529394,0.1694852,0.16273247,0.15647592,0.15139101,0.14609982,0.1373641,0.122870065,0.10337844,0.08282313,0.06565719,0.05438298,0.048959877,0.047853414,0.049599294,0.053026497,0.057516452,0.06230117,0.066597104,0.06928039,0.06966435,0.06780983,0.06489058,0.06247656,0.062023878,0.06381497,0.06700334,0.06962808,0.070257574,0.068397336,0.064900875,0.060697865,0.056566134,0.05297335,0.050606813,0.050465036,0.05314408,0.058300912,0.06411906,0.068709984,0.07107089,0.07207652,0.073402576,0.07703104,0.084885515,0.09958785,0.12340677,0.15679921,0.19622709,0.23598464,0.2700317,0.2946981,0.30700424,0.30517235,0.2893132,0.2655972,0.24688661,0.2516677,0.2952315,0.37874046,0.47971702,0.5591674,0.582462,0.5415017,0.45850644,0.37008408,0.30548325,0.2745099,0.2695794,0.27639127,0.28333655,0.28535068,0.28211462,0.27534857,0.26803303,0.26365638,0.2652119,0.27257013,0.2830918,0.2947658,0.3094498,0.32903174,0.34776297,0.34988394,0.32138693,0.26462322,0.20100816,0.15591067,0.14094257,0.14914553,0.16360062,0.17127152,0.16962194,0.1664104,0.17131437,0.18795188,0.21022065,0.22736299,0.23246525,0.22671993,0.21656406,0.20750129,0.20079255,0.1953248,0.19085307,0.19048744,0.19865954,0.21826757,0.24694876,0.27826977,0.3041134,0.31875625,0.31993982,0.31134,0.30568504,0.3227854,0.37737653,0.4608192,0.5387179,0.57023495,0.5380235,0.45840707,0.36668444,0.29118717,0.24347436,0.2232523,0.23007227,0.2591656,0.29771414,0.3229235,0.3202003,0.29123658,0.25342026,0.22174315,0.20076507,0.18571979,0.17219943,0.16151589,0.16027826,0.17410529,0.2021094,0.23462427,0.2605584,0.27392063,0.2782354,0.2800628,0.2834536,0.2882402,0.29729363,0.3221664,0.37530586,0.45395684,0.5289891,0.56188536,0.5319466,0.45544443,0.3702995,0.30889413,0.2784635,0.26763925,0.26197958,0.25505123,0.24702251,0.24080507,0.23864819,0.24245854,0.2514724,0.26261726,0.269648,0.26783305,0.25763103,0.2483116,0.25304922,0.27690545,0.31057855,0.33453012,0.3377048,0.32223022,0.2995822,0.27468693,0.24706088,0.21613663,0.18849091,0.1717567,0.16807897,0.17221332,0.17740066,0.17975456,0.18046129,0.18579955,0.20840567,0.26238793,0.35159877,0.45886317,0.5476877,0.58356524,0.55376,0.47701445,0.38635656,0.31051567,0.25857508,0.22662659,0.20705444,0.19677567,0.19660246,0.2106349,0.2482872,0.31670603,0.4110334,0.50230736,0.55347496,0.539396,0.46784732,0.36880067,0.27684203,0.2126082,0.18308593,0.18682529,0.2178498,0.26237845,0.2998474,0.31189215,0.2962412,0.26721522,0.24418555,0.23520975,0.23486485,0.23175716,0.21972363,0.20241362,0.19069494,0.19562398,0.21924241,0.25321683,0.28365552,0.3017098,0.30650088,0.30200946,0.2923163,0.28310022,0.28757128,0.32133818,0.38915062,0.46959606,0.5258977,0.5296636,0.4831644,0.41182873,0.34296298,0.2890574,0.25027725,0.2246722,0.21261269,0.21418732,0.22524868,0.23900634,0.24953602,0.2548372,0.25560787,0.2532452,0.24865384,0.24459074,0.24666798,0.26207036,0.29049298,0.32107493,0.33419836,0.31901333,0.28083083,0.24045937,0.21583714,0.21230207,0.22152561,0.23181605,0.23589091,0.23351543,0.22899187,0.22672878,0.22755821,0.22839682,0.22526003,0.21815836,0.21248776,0.21522848,0.22816318,0.24536939,0.25779265,0.26054782,0.2551088,0.24612337,0.23733397,0.23166089,0.23148851,0.23752958,0.24513407,0.24790758,0.24492867,0.25067917,0.28624362,0.36224684,0.45945978,0.5372374,0.55844444,0.51509523,0.4302651,0.3384047,0.26493242,0.21895511,0.20153855,0.21350189,0.24975084,0.2933752,0.3155637,0.29903552,0.2487101,0.19258861,0.15577632,0.14815265,0.16013552,0.1772541,0.18931729,0.19566059,0.20110334,0.21043392,0.22319628,0.23489231,0.24069531,0.24149029,0.24052812,0.24142593,0.2454849,0.2600328,0.29759648,0.3656353,0.45046762,0.517572,0.5352055,0.49622992,0.42383835,0.34950462,0.29439712,0.26060203,0.24089865,0.22853892,0.2216369,0.22064985,0.22431697,0.22988348,0.23518966,0.24031156,0.24627678,0.2528238,0.25889087,0.26515055,0.27645794,0.29842612,0.32973552,0.3580247,0.36676666,0.34945825,0.31506273,0.2805905,0.25687733,0.24393167,0.23535168,0.22626835,0.21670364,0.2098353,0.20866758,0.2127651,0.21822655,0.22199398,0.22786339,0.251357,0.30908433,0.4032545,0.5057013,0.57194114,0.56697536,0.491905,0.3788732,0.26878843,0.1875901,0.14057599,0.12075441,0.11805115,0.12478676,0.13776584,0.16241436,0.2111897,0.29208103,0.39349046,0.4816687,0.520592,0.49606752,0.42623684,0.3453056,0.28045747,0.23925544,0.21735477,0.21344449,0.23030607,0.26569688,0.30236968,0.32090256,0.31392428,0.2930361,0.27282807,0.2586711,0.24393095,0.22132663,0.19089074,0.16180514,0.14572994,0.14987837,0.17261355,0.20492966,0.234814,0.25173798,0.2495992,0.22771762,0.19111459,0.1495116,0.11556005,0.101204135,0.11338397,0.15000619,0.19980644,0.24599396,0.27352634,0.27388778,0.24824984,0.20504512,0.15775123,0.11848312,0.09507752,0.08832685,0.09382162,0.10380737,0.11034596,0.10917533,0.10137247,0.09276119,0.08991008,0.09796522,0.11859697,0.14966457,0.18464358,0.2156496,0.2364027,0.24496144,0.24218462,0.23042543,0.21233392,0.19146784,0.17134012,0.15384696,0.13797538,0.12181616,0.10502666,0.0902285,0.08013735,0.0754155,0.073707975,0.07220423,0.06917328,0.06489673,0.061857183,0.06508104,0.08192558,0.11717587,0.16883057,0.2251641,0.27196202,0.29838467,0.30241692,0.28676593,0.25706816,0.2194059,0.18152006,0.15122506,0.13463844,0.13384165,0.1462588,0.16578048,0.18571036,0.20220049,0.21584053,0.22998436,0.24672753,0.26376644,0.27460372,0.27203134,0.25236145,0.2177819,0.17555769,0.13468607,0.10179478,0.0790441,0.064759664,0.056016322,0.050604224,0.048255708,0.050905284,0.06255874,0.08645911,0.12223473,0.16374606,0.20277528,0.23265481,0.251655,0.26036432,0.25961682,0.24876978,0.22804214,0.20028152,0.17113231,0.1461914,0.12823172,0.1166423,0.10916066,0.10383589,0.0994991,0.09557394,0.091733284,0.08818204,0.08541548,0.08387142,0.08341512,0.08329026,0.08262953,0.080919765,0.078361444,0.07541417,0.072455384,0.06959192,0.06706291,0.06542658,0.065205045,0.06628875,0.06765797,0.06800873,0.06646199,0.063318394,0.060164526,0.059897307,0.06537378,0.078066505,0.09673192,0.11925089,0.14352478,0.16797817,0.18878889,0.20109278,0.20281504,0.19853769,0.19706877,0.20312653,0.21333568,0.21870601,0.21397053,0.20131332,0.18848026,0.18195133,0.18374932,0.19225271,0.20500857,0.21988481,0.23433603,0.2457871,0.25266394,0.25544798,0.2545821,0.24899755,0.23613437,0.21513319,0.18935071,0.16671567,0.1573953,0.16850698,0.19996627,0.24252462,0.28290108,0.30922082,0.3158468,0.30214742,0.27179277,0.23132068,0.19010484,0.1569959,0.13674627,0.12759931,0.12349353,0.1187103,0.11167013,0.105331086,0.10361704,0.1078914,0.11568999,0.12362089,0.13041298,0.13691533,0.14304455,0.14541137,0.1407666,0.13092713,0.12538789,0.13399531,0.15880108,0.18953955,0.21184959,0.21671964,0.20624761,0.18846148,0.17046104,0.15442024,0.13983084,0.12716116,0.118816435,0.116538875,0.118106775,0.117984004,0.11164384,0.100527234,0.091972865,0.09459177,0.111718975,0.13895561,0.1669869,0.1878555,0.19918619,0.20341074,0.20354657,0.20017058,0.19234677,0.18099385,0.17046694,0.16623856,0.17055218,0.18045057,0.19049035,0.19705264,0.19998597,0.19970767,0.19451237,0.18188198,0.16342919,0.14671288,0.14076994,0.14857839,0.16516876,0.18256061,0.19696213,0.20969498,0.22305621,0.23525767,0.24062939,0.23450255,0.21863417,0.20174934,0.19308414,0.19461356,0.19953287,0.19896895,0.19006252,0.17685352,0.16478103,0.15497948,0.1451289,0.1341206,0.12593628,0.12694184,0.1407245,0.16381687,0.18841594,0.20697717,0.21614885,0.2161584,0.20911466,0.1980931,0.18641736,0.17714454,0.17136228,0.16831726,0.16586448,0.16228883,0.15770485,0.1543976,0.1556202,0.1625467,0.17307122,0.18251158,0.18646061,0.18227153,0.16908193,0.14835998,0.12511528,0.1088833,0.109857105,0.13260962,0.17149901,0.21336679,0.24556904,0.26231617,0.26562798,0.26089418,0.2532199,0.2452534,0.23752315,0.22899736,0.21848597,0.20620053,0.19419523,0.18536033,0.18103804,0.1801665,0.17993249,0.17794938,0.1733924,0.16688491,0.15948153,0.15197939,0.1450363,0.13943516,0.13585733,0.13423216,0.13345496,0.13234836,0.13058887,0.12889473,0.1279466,0.1278376,0.12805213,0.12770577,0.12537782,0.119535275,0.10973651,0.09748048,0.085510544,0.07606063,0.069962494,0.06702799,0.067065544,0.06980887,0.074379824,0.07877413,0.08086117,0.079723105,0.0768873,0.07619858,0.08270777,0.10018772,0.12822174,0.16052271,0.18727033,0.20070995,0.20020664,0.19151752,0.1814143,0.17307146,0.1671241,0.16505344,0.16970748,0.18125726,0.19488634,0.20317017,0.20187779,0.19315629,0.18364756,0.17989182,0.18366991,0.19209476,0.19972719,0.20255078,0.19818582,0.18611759,0.16750394,0.14771263,0.13543056,0.13845764,0.15628581,0.17848451,0.19081016,0.18611528,0.16936964,0.15205908,0.14290358,0.14564371,0.16670406,0.21833742,0.30845878,0.42410827,0.529931,0.5876823,0.58019996,0.5209592,0.44137397,0.37245545,0.3288757,0.30953136,0.30381143,0.3032126,0.30333784,0.30299428,0.30055234,0.29497924,0.2871358,0.27926916,0.2727898,0.26702726,0.2609439,0.2549808,0.25161228,0.2528417,0.25876594,0.26657048,0.27323008,0.27642527,0.27630424,0.27391458,0.27093837,0.2679853,0.2648842,0.2608606,0.2559009,0.2508471,0.24673569,0.24404673,0.24279033,0.24317457,0.24521673,0.24806435,0.24982505,0.2489147,0.24551962,0.2422959,0.24244553,0.24786437,0.25660375,0.2651067,0.26975533,0.270226,0.26748174,0.26304424,0.25703594,0.25013828,0.24407332,0.24240564,0.24776618,0.26023588,0.27553555,0.28815868,0.2939473,0.29301646,0.28762016,0.28218552,0.2822607,0.2955252,0.32340685,0.35702074,0.37660626,0.36885592,0.33557054,0.29410383,0.26047808,0.24103647,0.23222162,0.2288291,0.22865354,0.23187388,0.23773272,0.24155176,0.23662822,0.22016169,0.19810505,0.18268333,0.18209584,0.193172,0.2058629,0.21760125,0.24207146,0.2965469,0.3804883,0.46322975,0.5044274,0.4821595,0.41143557,0.32890388,0.26779002,0.2388104,0.23355292,0.23827629,0.24521005,0.25370917,0.2655315,0.28047955,0.29582903,0.30667067,0.30844268,0.29873815,0.2801219,0.26094985,0.25307396,0.26677325,0.30006364,0.337273,0.35391855,0.33761325,0.2943193,0.24661374,0.21311271,0.2011981,0.20460422,0.2143951,0.22371101,0.2313149,0.23763376,0.2421775,0.24279821,0.24037403,0.24286528,0.26472867,0.31771585,0.39892578,0.48465475,0.53916645,0.53623074,0.4761583,0.3867921,0.3023817,0.24468516,0.21433441,0.20300336,0.20373471,0.21568348,0.2390049,0.2734153,0.32109103,0.38489494,0.46068716,0.52780217,0.55807143,0.53388697,0.4645072,0.37875462,0.30571574,0.25927576,0.239317,0.24256408,0.26601204,0.30221534,0.33417913,0.34343958,0.32373068,0.285921,0.24880849,0.22468953,0.21448214,0.21167521,0.2105606,0.21081765,0.21714939,0.23436637,0.2611659,0.2890173,0.3071383,0.3101937,0.30090722,0.28563008,0.26995277,0.25904986,0.26431152,0.2995853,0.3700254,0.45709547,0.526328,0.54776555,0.5176588,0.4572935,0.39564455,0.35163316,0.3276168,0.3167652,0.31151327,0.3091358,0.30960867,0.31208324,0.31334463,0.31010246,0.30164424,0.29068574,0.28097236,0.2766569,0.28168967,0.30041134,0.33142635,0.3647692,0.3828549,0.37528813,0.34555784,0.3104861,0.28390166,0.27029136,0.2642797,0.260144,0.25570786,0.25311688,0.2557131,0.26419702,0.2757594,0.2850175,0.28836283,0.28549585,0.27888823,0.27103022,0.2628614,0.25447252,0.2462427,0.23907886,0.23349941,0.22886346,0.22442691,0.2204883,0.21950704,0.22529076,0.24003144,0.26239982,0.28885356,0.32101858,0.36659637,0.43065557,0.50085974,0.5474579,0.5427691,0.48280582,0.39154592,0.30155474,0.23490338,0.19732553,0.18777215,0.206227,0.24797808,0.298257,0.33158728,0.3312802,0.29734573,0.24859281,0.20428006,0.1763709,0.16515274,0.1662619,0.17527509,0.19075976,0.21335763,0.24142738,0.2690711,0.28741595,0.29163766,0.2839342,0.27109185,0.25772002,0.24640608,0.24470079,0.26797864,0.32801175,0.4153119,0.495272,0.5292865,0.50053865,0.42615485,0.34006998,0.27265522,0.23523466,0.22563328,0.23486404,0.25555444,0.28143683,0.30694366,0.32519224,0.3296953,0.31818846,0.2952878,0.27132487,0.25656852,0.25785995,0.2771823,0.31162664,0.35004854,0.37501976,0.37098542,0.3375679,0.2899846,0.24906194,0.22607438,0.21957803,0.22089826,0.22262721,0.22193485,0.21861732,0.21195132,0.2007895,0.18666752,0.17814516,0.18871833,0.23198424,0.3101519,0.40859827,0.49551615,0.5373432,0.5161947,0.4406315,0.34015647,0.24793397,0.18776786,0.16552736,0.17408024,0.19626586,0.21577908,0.22387804,0.2292581,0.25367388,0.31517407,0.4069067,0.49303755,0.53203434,0.5047229,0.42736268,0.33543912,0.26052663,0.21651761,0.20304269,0.21710496,0.25240454,0.296204,0.32308778,0.31275237,0.262143,0.1921556,0.12784678,0.0845246,0.06182718,0.05294399,0.05150914,0.05502088,0.06353072,0.07815456,0.098538406,0.122080185,0.14401352,0.16008787,0.16806684,0.16825628,0.16258304,0.15488157,0.15134709,0.15817863,0.17657413,0.19981588,0.21742636,0.22302811,0.21820627,0.21002048,0.20522507,0.20735997,0.21547657,0.22555403,0.23237407,0.23346084,0.23058717,0.22882015,0.23243219,0.24273251,0.25784183,0.27496752,0.29140255,0.30467582,0.3115833,0.30838117,0.29220387,0.263343,0.22628021,0.18826453,0.15573697,0.13179518,0.11598083,0.10656773,0.101600625,0.09945949,0.0986616,0.099466175,0.103239566,0.11071846,0.1189003,0.12349855,0.12285148,0.121514104,0.12509684,0.13431048,0.14226657,0.14205657,0.13407424,0.12594071,0.12333494,0.123517014,0.1188611,0.10648572,0.09230822,0.08640196,0.094617695,0.11497989,0.13995309,0.16161056,0.1765746,0.18612827,0.19375253,0.1999929,0.20233957,0.19745724,0.18493678,0.16728161,0.14805728,0.13062593,0.11824352,0.11466727,0.123440765,0.14555441,0.17722277,0.2090807,0.2301494,0.23287998,0.21754259,0.19083704,0.16231962,0.1393189,0.1249292,0.11756105,0.11333058,0.10823288,0.10065213,0.09200133,0.08621902,0.08639798,0.09159268,0.09651948,0.09640785,0.09259505,0.091897905,0.09984527,0.114291646,0.12773043,0.13548999,0.13951188,0.14465491,0.15055872,0.15212047,0.1444626,0.13017519,0.11760179,0.11527395,0.12542526,0.14326358,0.1612869,0.1739735,0.17970897,0.17868614,0.17129128,0.15888442,0.14448273,0.13295431,0.1274793,0.12965752,0.1377207,0.14868437,0.15731443,0.15955764,0.15421993,0.14468451,0.13625337,0.13292831,0.13585599,0.14423223,0.15701939,0.17320538,0.19059832,0.20446767,0.2085231,0.19863157,0.17644663,0.14873777,0.12296776,0.10337543,0.09180746,0.08973082,0.09853294,0.11622546,0.13701004,0.15391348,0.16384757,0.16820072,0.17057942,0.17289722,0.1752711,0.17683978,0.17780359,0.17902093,0.18179722,0.18646891,0.19214971,0.1970218,0.19964153,0.19948806,0.1962027,0.18873946,0.17636843,0.16071405,0.14696258,0.14054708,0.1429917,0.14877896,0.14974262,0.1412995,0.12743677,0.116811745,0.11571258,0.12307704,0.13329785,0.14198439,0.14897835,0.15593012,0.16244833,0.16520156,0.16138475,0.1523891,0.14422761,0.14284144,0.14987586,0.16219805,0.17628954,0.19095208,0.20623793,0.22016887,0.22854167,0.22775894,0.21746017,0.20017509,0.17924984,0.15736215,0.1365298,0.11850068,0.1048184,0.09667265,0.09462022,0.09816054,0.10476809,0.110478334,0.11180236,0.10826964,0.10187466,0.09473499,0.08747103,0.08043141,0.075179525,0.07353369,0.07530924,0.077786796,0.078120895,0.076478034,0.07679706,0.08422769,0.10044211,0.12162894,0.14125608,0.15604864,0.16720347,0.17616199,0.17914061,0.17047358,0.1498843,0.12771904,0.117227904,0.12522219,0.14568706,0.16755359,0.18246831,0.19055004,0.19537695,0.19975328,0.20297755,0.20381473,0.2022471,0.1998868,0.19738804,0.19411427,0.18895686,0.18356808,0.18099831,0.18302011,0.18598539,0.18413459,0.17435233,0.16055422,0.1502716,0.14913367,0.15656342,0.1659075,0.16958375,0.16446775,0.1560027,0.15333486,0.16231184,0.17943424,0.19563735,0.20257543,0.1982072,0.18634279,0.17342448,0.16462822,0.16121583,0.16245644,0.16778772,0.17893185,0.19592126,0.21531628,0.23049282,0.23701434,0.23501414,0.22827774,0.22080539,0.21477431,0.2104687,0.20670457,0.20156582,0.19345437,0.18261443,0.17120244,0.16180013,0.1553655,0.1512347,0.14829348,0.14586481,0.14332241,0.1398158,0.13522436,0.13058312,0.12735307,0.12574734,0.12489604,0.12421298,0.1246722,0.12741548,0.1320442,0.13554257,0.13515234,0.13069408,0.12586975,0.12486609,0.12952577,0.13800985,0.14698242,0.15382166,0.15751022,0.15814401,0.15617298,0.1525498,0.14872797,0.146114,0.1447013,0.14269835,0.13852488,0.13298564,0.1297437,0.13145517,0.13675366,0.13976203,0.13544737,0.12406955,0.11251538,0.10851637,0.115210205,0.12856247,0.14205539,0.15122463,0.15600546,0.15796708,0.15793462,0.15557404,0.15124775,0.14672138,0.14376737,0.14199974,0.13881518,0.13154928,0.11995897,0.10641008,0.09395859,0.08432245,0.077539265,0.07314908,0.071053885,0.0712352,0.07282827,0.07415939,0.07375615,0.07138612,0.0678443,0.063979335,0.059973117,0.055780575,0.051846057,0.04935156,0.04922214,0.051280927,0.053970676,0.055503,0.054782044,0.05193894,0.047755256,0.043136552,0.038625713,0.034294363,0.02985902,0.02503726,0.019982135,0.015275624,0.011988431,0.011812862,0.01711934,0.029599851,0.048101116,0.06867131,0.08693508,0.102024786,0.11549129,0.12889926,0.13988763,0.14463721,0.14093077,0.13262688,0.12713593,0.1309431,0.1432674,0.15765357,0.16678981,0.1689815,0.16741723,0.16653375,0.16799551,0.17076385,0.17313834,0.17420591,0.1741079,0.17307639,0.17101516,0.1673799,0.1618935,0.15593292,0.1524492,0.15476853,0.16281599,0.17234153,0.17625558,0.16949402,0.15175425,0.12967011,0.11678798,0.13251396,0.19096398,0.28846788,0.39477274,0.4706671,0.49070016,0.4619453,0.41145948,0.36753488,0.342365,0.33432773,0.3347384,0.33629724,0.33555272,0.33275017,0.3293301,0.32553187,0.32038978,0.31264535,0.3023666,0.29022503,0.27876535,0.2726747,0.27973345,0.30278718,0.3359661,0.36261463,0.37037215,0.35679606,0.3323375,0.30687213,0.28642604,0.27112952,0.26028013,0.2524174,0.2463942,0.2418925,0.2393576,0.238092,0.2347374,0.22549112,0.20969395,0.19169372,0.17736769,0.17001937,0.16810127,0.16807191,0.16701049,0.16423406,0.15995996,0.15480904,0.15016596,0.14853261,0.15276133,0.16196464,0.17296737,0.18423633,0.20688666,0.2576847,0.34561834,0.44994012,0.5299846,0.54794806,0.49953315,0.41211495,0.32479307,0.26198944,0.22844844,0.21970618,0.23392987,0.2681265,0.31003478,0.33725366,0.33451232,0.30401766,0.26431334,0.2325073,0.2159154,0.211354,0.21336669,0.2175889,0.22208498,0.2254618,0.22643916,0.22356917,0.21750845,0.21192741,0.2134282,0.2265365,0.25092915,0.28135255,0.31502095,0.35465813,0.4051353,0.46251616,0.5101097,0.5273822,0.5047729,0.45225537,0.3909221,0.34004268,0.3064021,0.28703097,0.2756048,0.26846397,0.2646167,0.26303652,0.26175416,0.25876185,0.25400934,0.2484384,0.24233048,0.23576085,0.23212957,0.23982067,0.26603332,0.3068615,0.3449973,0.36035404,0.34542498,0.30847576,0.26565042,0.22805929,0.19917215,0.17702912,0.16089976,0.15320557,0.15823086,0.17756726,0.20654684,0.23625678,0.25936595,0.27750185,0.30354878,0.35274518,0.42817247,0.50773674,0.5552127,0.54223984,0.47259167,0.37676072,0.29212487,0.23851365,0.21547289,0.21138684,0.21607535,0.2238688,0.2342322,0.25219187,0.2894682,0.3539485,0.43801728,0.5115133,0.54024005,0.50628287,0.4242458,0.32800785,0.25231263,0.21431668,0.21404965,0.24238656,0.28617516,0.33057824,0.35739553,0.35590503,0.32685184,0.28492662,0.245651,0.2188751,0.20496655,0.20033014,0.20059049,0.20303823,0.20523359,0.20430845,0.19672674,0.18182743,0.16413993,0.1537401,0.16002785,0.18570721,0.22516358,0.27096257,0.32213748,0.3820064,0.44976148,0.5101519,0.54178965,0.53048986,0.48339435,0.42245793,0.37107113,0.33990577,0.3270824,0.3246042,0.32632247,0.3292079,0.33235797,0.33479896,0.33558038,0.3342621,0.3309649,0.32647476,0.32126784,0.31752405,0.31867647,0.3294195,0.34826994,0.3668469,0.3712438,0.35560846,0.32490143,0.29363164,0.27258298,0.26484206,0.2656913,0.26950443,0.27308753,0.27594963,0.27777052,0.27638698,0.2689359,0.25447485,0.23597081,0.21893828,0.20817529,0.2048006,0.20608334,0.20851119,0.21095784,0.21547914,0.22360413,0.23346429,0.23972844,0.23875475,0.23196732,0.22540253,0.22332299,0.22594571,0.232794,0.25195223,0.29574358,0.36832133,0.44968715,0.5057586,0.5088665,0.4591408,0.37938997,0.29852867,0.2356891,0.19856209,0.1902285,0.21063714,0.2527531,0.29816702,0.32588184,0.32634544,0.30783674,0.28693843,0.27320528,0.26385927,0.250038,0.22767395,0.20162678,0.18242534,0.17792754,0.18736035,0.20193799,0.21223159,0.21533084,0.21594803,0.21887934,0.22488761,0.2319569,0.24682574,0.28210866,0.3461562,0.42425534,0.48595142,0.50335544,0.4740051,0.41793445,0.36244425,0.32429922,0.3055701,0.29945898,0.29838648,0.29920414,0.3020843,0.30788752,0.31545857,0.32199565,0.32482216,0.32298133,0.31766143,0.31233594,0.31196967,0.3222568,0.34282562,0.36481354,0.37110457,0.35162485,0.3097897,0.2631571,0.22675534,0.2064629,0.19758189,0.19406016,0.19164044,0.18932994,0.18714248,0.18533593,0.18320133,0.18027185,0.17940275,0.19081958,0.23056348,0.30911994,0.41654626,0.51788026,0.5699343,0.54872376,0.46475232,0.3548011,0.2559137,0.18906893,0.15511109,0.14686021,0.15370677,0.16778922,0.18450427,0.21085958,0.2608355,0.34347555,0.44360146,0.5240821,0.546966,0.5009932,0.40794206,0.30584785,0.22526787,0.1794328,0.16885988,0.19078048,0.23590511,0.28634486,0.3166014,0.31276235,0.28030702,0.2414899,0.21483254,0.20557684,0.20705628,0.21150972,0.21574606,0.22015886,0.22566164,0.23167819,0.23658653,0.23853956,0.23683234,0.23333897,0.23092408,0.231493,0.23518609,0.24634755,0.27551374,0.3318211,0.40856543,0.47937497,0.51514333,0.5039738,0.4598457,0.40795767,0.3694115,0.3502094,0.34602058,0.3481784,0.35113963,0.35273993,0.35324958,0.3529559,0.35217825,0.35110676,0.3495216,0.34662685,0.3422943,0.3392477,0.34266305,0.35680243,0.3787106,0.39837262,0.40354243,0.39051437,0.36486307,0.3380237,0.31715497,0.30339292,0.29229873,0.27925733,0.2630986,0.24752839,0.23880208,0.23996621,0.24815953,0.25569475,0.25571206,0.24594158,0.22918826,0.21050785,0.1949365,0.18726934,0.19175626,0.20960598,0.23574261,0.2595528,0.27157766,0.26964566,0.260184,0.25118724,0.24710792,0.24835144,0.25863302,0.28804,0.3459591,0.4268813,0.5042313,0.54425955,0.5289745,0.46981916,0.39761138,0.34075,0.309793,0.2996672,0.3028225,0.31556287,0.335711,0.3544617,0.36073646,0.3479437,0.32040223,0.2876149,0.25777322,0.23430465,0.21637167,0.20255502,0.19271563,0.18948883,0.19429378,0.20378892,0.21082433,0.21040076,0.20485274,0.20109886,0.20377351,0.21262653,0.22701399,0.2550281,0.30783013,0.3883394,0.4754647,0.53597337,0.54357076,0.5011753,0.43425274,0.37401345,0.33731422,0.32376844,0.32230496,0.32202816,0.31747815,0.30891427,0.29864612,0.28858358,0.27928457,0.27130643,0.26544797,0.26214817,0.2619039,0.2667555,0.2819128,0.30888787,0.34065226,0.3598541,0.35375834,0.3224443,0.28078276,0.24373175,0.21876286,0.20388824,0.19487649,0.18941037,0.18807991,0.1917002,0.1990444,0.20717628,0.2147894,0.2262051,0.25233188,0.3057064,0.388961,0.48510504,0.5595448,0.58030087,0.53960127,0.46013173,0.3769088,0.31517395,0.28086367,0.26749492,0.26689816,0.27190843,0.27837813,0.28529248,0.30192304,0.34009123,0.40476546,0.47744998,0.5260757,0.522973,0.46772754,0.38356623,0.3004425,0.2374894,0.20108663,0.19298929,0.21330182,0.25475252,0.29779634,0.3171881,0.29994163,0.25393286,0.20348167,0.17055178,0.16421439,0.17777555,0.1979777,0.21241397,0.21594141,0.20967408,0.1980356,0.18469124,0.17280449,0.16637553,0.16927761,0.17986125,0.19035704,0.19478713,0.20220883,0.23319578,0.30197132,0.39510477,0.4769208,0.51333016,0.4965721,0.44603324,0.39066282,0.3500298,0.32807705,0.31952393,0.3182976,0.3210517,0.32568347,0.32948127,0.33009616,0.32702538,0.32219592,0.3181474,0.316283,0.31673872,0.31986153,0.32814768,0.34268162,0.35932338,0.3668115,0.35553658,0.32579646,0.28921092,0.26004347,0.2455488,0.24478032,0.25122705,0.25892052,0.26322392,0.262459,0.2558914,0.24420422,0.22930908,0.2155968,0.20865393,0.21213229,0.22490162,0.24162607,0.25603542,0.2635822,0.2615392,0.24906623,0.2281634,0.20455636,0.18621977,0.17958313,0.18711965,0.20490259,0.2256841,0.24358892,0.2634145,0.29954383,0.3644862,0.4509333,0.5278763,0.5586412,0.5255107,0.44273698,0.34347436,0.2596618,0.20775819,0.19097948,0.20704126,0.24753575,0.2966173,0.32999298,0.33235505,0.30533585,0.26845866,0.23933448,0.2238747,0.21559578,0.20752417,0.19852112,0.19249551,0.19227125,0.19574131,0.19780616,0.19512422,0.18976559,0.1869704,0.19059666,0.19886011,0.20825404,0.22076495,0.24967282,0.3080231,0.3930787,0.47643173,0.52360964,0.5164464,0.467568,0.4043994,0.35162508,0.31837878,0.30286324,0.2987541,0.30057696,0.30500054,0.31030414,0.31569517,0.32076153,0.32546684,0.33074966,0.33682474,0.34279907,0.34693587,0.35024932,0.3565216,0.3666552,0.37418678,0.36721393,0.3412341,0.30344734,0.26935026,0.24854137,0.24079706,0.23821141,0.23400398,0.2264917,0.21909155,0.21628177,0.21926834,0.22483997,0.22926623,0.23452657,0.252565,0.29800716,0.37525868,0.4647437,0.5307973,0.54206157,0.4955757,0.4160658,0.33753172,0.28060457,0.24774311,0.23207009,0.22824645,0.23278655,0.24358194,0.2602822,0.29136196,0.3460764,0.4234012,0.49844298,0.53675145,0.5149447,0.44128585,0.34693274,0.26635984,0.2175744,0.20163374,0.21236761,0.24268208,0.28177968,0.31139883,0.3141498,0.28637215,0.24197453,0.20051976,0.17306603,0.1587285,0.15161961,0.14778252,0.14654215,0.14815046,0.15298843,0.16120696,0.17319275,0.1878966,0.20280616,0.21395063,0.21788086,0.2126611,0.19877256,0.17910583,0.15815508,0.14045659,0.12835254,0.12144715,0.11741525,0.114249565,0.111282885,0.10918028,0.10913786,0.111878365,0.11721674,0.12323252,0.12751226,0.12799652,0.124945484,0.119978845,0.1152105,0.111498185,0.10872722,0.1063182,0.103793174,0.100772135,0.0971342,0.093189605,0.089634545,0.086656995,0.08385533,0.08042414,0.076053955,0.07084913,0.06516314,0.05938885,0.05426543,0.051103946,0.051689133,0.056978106,0.066030174,0.07546008,0.081732415,0.08307465,0.080581285,0.07622514,0.07140208,0.066637844,0.06279929,0.061604638,0.064240634,0.070110716,0.07643355,0.080591954,0.08168086,0.081131436,0.080730475,0.08130801,0.08260352,0.08500981,0.09107437,0.1048255,0.12839344,0.15887739,0.18851887,0.20967396,0.21888793,0.21790482,0.20957702,0.19528967,0.17492057,0.14979471,0.124711394,0.10650921,0.10175648,0.11271498,0.13692427,0.1667722,0.19362187,0.2101158,0.21273959,0.2012317,0.17922316,0.15439981,0.13642369,0.13277477,0.14433615,0.16605164,0.1887858,0.20375073,0.20445776,0.18971075,0.16321695,0.1324758,0.10587103,0.090525515,0.09070462,0.10646131,0.13384609,0.16564627,0.1937006,0.21006872,0.20950824,0.19117463,0.16072917,0.12811713,0.103568286,0.09242628,0.09374559,0.10130093,0.1075271,0.10721609,0.100639015,0.09279319,0.0910987,0.1012327,0.12456405,0.15662044,0.18907827,0.21407144,0.22760348,0.22990964,0.22269218,0.20807791,0.18854304,0.16772775,0.1489944,0.13429786,0.12352699,0.1158253,0.11036458,0.10700322,0.10544205,0.10514993,0.104850225,0.103197426,0.098934986,0.0917181,0.083306305,0.078590184,0.085722364,0.11103519,0.15399978,0.20348293,0.24467146,0.2667789,0.26937175,0.2581518,0.23985852,0.21792324,0.19395804,0.16955668,0.14834225,0.13504553,0.13396193,0.14598715,0.16796197,0.19365646,0.21705712,0.2345057,0.24494393,0.24820274,0.24367855,0.23061414,0.20946805,0.18278022,0.15466107,0.12925941,0.10926839,0.09505483,0.08496959,0.07650983,0.06801393,0.060404748,0.057660762,0.06599342,0.08924496,0.12556358,0.16574188,0.19932894,0.21984714,0.22820605,0.22852653,0.22414483,0.21548335,0.20209073,0.1852365,0.16813384,0.15407419,0.14372517,0.13547806,0.12733854,0.11889019,0.11051446,0.102167696,0.09327096,0.084029324,0.07576886,0.06993241,0.066650964,0.0648377,0.063077375,0.06073721,0.05802836,0.055621985,0.054032516,0.053479943,0.054075707,0.056164786,0.060092676,0.06570859,0.07176003,0.07625366,0.07727603,0.07457227,0.07039819,0.06959659,0.07651036,0.09206339,0.111831285,0.13039535,0.14484762,0.15652214,0.16615354,0.17209966,0.17228036,0.16903718,0.16854165,0.17493121,0.1855032,0.19285585,0.19166285,0.18349802,0.17450528,0.17039202,0.1720155,0.17729802,0.18375416,0.19130532,0.19991517,0.20862989,0.21464731,0.21624781,0.21319406,0.20654677,0.19602674,0.18060862,0.16058308,0.14130713,0.13184398,0.13973404,0.16371922,0.19346379,0.21606646,0.22518517,0.22308111,0.21573697,0.20599677,0.19298476,0.1754791,0.15588532,0.13852282,0.12668589,0.119813316,0.11539489,0.11132524,0.10773823,0.105636545,0.105076365,0.104837835,0.10418912,0.10452666,0.10847416,0.116879754,0.12687708,0.13333958,0.13345094,0.12991661,0.12985241,0.13886158,0.15618616,0.17467056,0.18664066,0.18894596,0.18390734,0.17528959,0.16494842,0.15264489,0.13897093,0.127274,0.12155048,0.12195551,0.12292347,0.1176885,0.105380334,0.09323451,0.09109289,0.102986716,0.12439636,0.14608435,0.16124713,0.16866861,0.17157768,0.17337763,0.17486727,0.17462398,0.17164226,0.1678258,0.16670221,0.17049932,0.17756301,0.18418597,0.18781626,0.18886971,0.18857981,0.1861515,0.17865543,0.16472997,0.14776577,0.13484882,0.13140447,0.13737357,0.14841117,0.16038434,0.17174716,0.18207829,0.18963988,0.19167773,0.18676399,0.17738454,0.16879988,0.16565286,0.16771565,0.17046867,0.1696188,0.1654108,0.16230464,0.16337484,0.16735232,0.16858391,0.16346847,0.15341581,0.1453638,0.14510907,0.15320607,0.16460204,0.17375766,0.17805576,0.17755908,0.17317529,0.16585894,0.15765697,0.15095656,0.14770901,0.14757901,0.14892568,0.14912377,0.14699702,0.14327608,0.14092927,0.14221656,0.14664556,0.15095665,0.15172012,0.14742808,0.13779129,0.1234233,0.106698334,0.093833,0.09294177,0.10869759,0.1378022,0.17010681,0.19523068,0.20807235,0.21016264,0.2060765,0.20011838,0.19424815,0.1885518,0.18172039,0.17240314,0.159985,0.14567614,0.13188933,0.12102306,0.113627106,0.108273596,0.10270775,0.09589035,0.08878487,0.083500005,0.081250526,0.081278436,0.08163998,0.08112698,0.07995978,0.078846954,0.077693515,0.07587003,0.0732767,0.07073731,0.069396675,0.07007796,0.07336369,0.07911117,0.08606377,0.091737546,0.09428007,0.0936526,0.09185354,0.0910093,0.09236584,0.09599479,0.10177722,0.10953384,0.118654914,0.1273693,0.1332288,0.13471021,0.13272049,0.13080718,0.13296102,0.14168335,0.15605392,0.17330076,0.18971528,0.20288818,0.21058409,0.2108442,0.20191137,0.18458617,0.16344035,0.14532548,0.13583742,0.13591526,0.14242627,0.1507731,0.15829091,0.16465259,0.17053385,0.17550473,0.17797416,0.17667039,0.17230298,0.1670965,0.16293722,0.15994792,0.1576599,0.157034,0.16084306,0.17068744,0.1839481,0.19467469,0.19825906,0.19505267,0.1882825,0.17947482,0.17004968,0.16790976,0.19357187,0.26506558,0.38003197,0.50096923,0.5803094,0.58758247,0.53382283,0.45335922,0.38234088,0.3365701,0.31554303,0.3100498,0.31212747,0.3166761,0.32087603,0.32344487,0.3238903,0.3227907,0.3203638,0.31659868,0.311123,0.30416393,0.2967216,0.29006267,0.2850534,0.28148997,0.2784862,0.27498367,0.27040598,0.2647729,0.25859967,0.25262526,0.24732284,0.24248005,0.23717296,0.23059855,0.22291203,0.21537314,0.20951448,0.2062792,0.20633286,0.2102194,0.21822558,0.22829412,0.23652571,0.2394898,0.23888414,0.24062182,0.2501528,0.26608372,0.2813348,0.2882496,0.28431365,0.2713882,0.2529004,0.2314439,0.20988452,0.19266595,0.18552305,0.19225337,0.21132237,0.2349984,0.2537868,0.2620168,0.26072562,0.25451198,0.24826622,0.24692623,0.25762442,0.28657424,0.3301814,0.37127993,0.38753268,0.36975124,0.328015,0.2835059,0.25104883,0.23293048,0.2235391,0.21714716,0.21226299,0.20859134,0.20493728,0.19668154,0.18026043,0.15778203,0.13868846,0.13313955,0.14291358,0.16067626,0.17950357,0.20588933,0.25688323,0.34284925,0.44758448,0.5317788,0.55847377,0.51907104,0.4384948,0.3533795,0.29053223,0.25554982,0.24200743,0.24104041,0.24738853,0.25810587,0.2708393,0.28380814,0.29463124,0.29978,0.2954265,0.2809579,0.26214483,0.24989675,0.25662813,0.28672066,0.33088288,0.3654754,0.36838403,0.33410165,0.2800984,0.23238105,0.20856445,0.20765208,0.21704225,0.22358084,0.22434212,0.22287185,0.22303341,0.22180323,0.21627413,0.2111193,0.22281975,0.27061316,0.36094165,0.47598085,0.57487005,0.6158278,0.5804382,0.48730385,0.37638497,0.2841866,0.22450648,0.19294359,0.18064141,0.18539007,0.20877145,0.25087005,0.30852735,0.37996387,0.4615489,0.54123634,0.5938937,0.5965732,0.5445095,0.4599668,0.3742336,0.31074393,0.27502537,0.26489398,0.27870107,0.3127446,0.35406026,0.3780515,0.3672832,0.323075,0.26798472,0.22455025,0.20249279,0.19587535,0.19526298,0.19710356,0.20496887,0.2233814,0.24928027,0.27217066,0.28075898,0.27335313,0.25735092,0.2417525,0.22838487,0.21648794,0.21285371,0.23707664,0.30583814,0.41316733,0.5214301,0.5846804,0.577527,0.51303655,0.42711687,0.35381564,0.30776954,0.2866468,0.282317,0.2878223,0.29814315,0.3084178,0.31442785,0.3155211,0.31394514,0.31392828,0.3170457,0.32284948,0.3304648,0.3419342,0.36148062,0.38760927,0.41129652,0.41728267,0.39982376,0.3645709,0.3274463,0.2993207,0.2836071,0.27624357,0.27297983,0.27153414,0.2729087,0.27941766,0.2922031,0.30846557,0.32255208,0.32906497,0.32637286,0.3168023,0.30451572,0.2931143,0.2839535,0.2762134,0.26767048,0.2562252,0.24172433,0.2260796,0.21379592,0.20937563,0.21667641,0.23430467,0.2590113,0.2883483,0.33077285,0.3960204,0.4845132,0.5695453,0.61445,0.5930906,0.5140447,0.40766785,0.30731317,0.23174416,0.18879409,0.18345161,0.21653418,0.27741063,0.33917406,0.3724734,0.36248145,0.31741402,0.25842473,0.2046544,0.16543375,0.1412464,0.1294652,0.12852107,0.14058328,0.16823609,0.20909774,0.25189954,0.282107,0.29110554,0.28182483,0.26421103,0.24796404,0.24140918,0.25582448,0.30310366,0.38387248,0.47453383,0.5380936,0.54636645,0.5032131,0.43559313,0.37476325,0.335578,0.3182805,0.31604752,0.32274428,0.3333042,0.34279934,0.34784093,0.3476924,0.3443816,0.34003684,0.33600244,0.3326979,0.332096,0.33776894,0.3545532,0.38126874,0.40858722,0.41949835,0.40408814,0.36589253,0.32230714,0.2894278,0.27401206,0.27126756,0.27235508,0.2701271,0.26255825,0.25136012,0.23968275,0.23034161,0.22736645,0.2378367,0.27094734,0.3338358,0.42296672,0.52043414,0.5944357,0.61531097,0.57078713,0.47670415,0.36626396,0.27189347,0.21032052,0.18157166,0.17759205,0.18790859,0.20496576,0.22591479,0.2596104,0.3197216,0.41242763,0.5170846,0.5933288,0.6035049,0.5417624,0.4364246,0.3297057,0.25231197,0.21361576,0.21050633,0.23715913,0.28328153,0.32903382,0.3472304,0.32340375,0.26551655,0.20004158,0.14933039,0.12095047,0.10875044,0.1045508,0.104286246,0.108627975,0.119434476,0.13692975,0.15872575,0.1810422,0.19956903,0.21026431,0.20964254,0.19745676,0.177729,0.1589968,0.14944406,0.15361673,0.16908686,0.18943268,0.20707744,0.2171117,0.21716899,0.20751052,0.19110048,0.17371552,0.16203712,0.15997799,0.16637988,0.17602398,0.18351771,0.18668301,0.18710953,0.1879266,0.19166291,0.19915812,0.20991941,0.22218601,0.23368442,0.24203998,0.24538599,0.24200325,0.23103893,0.21304117,0.19076045,0.16799311,0.14877318,0.13599308,0.13080418,0.13223357,0.13827097,0.14745547,0.15845592,0.16886486,0.17429529,0.17183274,0.16205661,0.14952569,0.13769251,0.12726356,0.1165801,0.106359534,0.09998539,0.10048827,0.106052764,0.1106259,0.109525345,0.10421503,0.10159207,0.108398385,0.12633225,0.15109004,0.17505099,0.19119221,0.19659597,0.19278948,0.18412824,0.17418718,0.16518559,0.15739264,0.1503799,0.14239843,0.13231377,0.12102891,0.11261341,0.11229187,0.12254777,0.1408815,0.1597965,0.1716047,0.17225416,0.16405933,0.15293975,0.1450726,0.1428218,0.14469104,0.146326,0.14420156,0.13638823,0.123628624,0.10793092,0.092994094,0.082362205,0.077715434,0.077085845,0.07663668,0.074462324,0.07303215,0.07693107,0.087944716,0.10286081,0.11661219,0.12681471,0.13366432,0.13670559,0.1330348,0.12120411,0.1045732,0.0912073,0.08890707,0.10074242,0.12325285,0.14836778,0.16802043,0.1778389,0.17820545,0.17205924,0.16357338,0.1563512,0.15260522,0.15122497,0.15006734,0.14793573,0.14597179,0.14493237,0.14454065,0.14454122,0.14661513,0.1525165,0.16228344,0.17320846,0.18262559,0.18898617,0.1925618,0.19341044,0.19044125,0.1819579,0.16791908,0.15186335,0.13819213,0.12907925,0.12225332,0.11572202,0.11086765,0.11329949,0.12669222,0.1487962,0.1711811,0.18498547,0.18656562,0.17877525,0.167863,0.1584534,0.15207565,0.14823796,0.14707868,0.14968066,0.15653558,0.16573434,0.17353565,0.1769445,0.17607851,0.17315727,0.16984256,0.1653174,0.15826513,0.14972854,0.1437019,0.14371853,0.1490785,0.1548642,0.15660204,0.15470551,0.1541742,0.1589424,0.16744901,0.17385215,0.17383933,0.16841434,0.16178785,0.15684114,0.15269299,0.14722037,0.1400724,0.13363789,0.13035955,0.13068156,0.13340817,0.1382773,0.14690977,0.16036427,0.17637764,0.18887246,0.19253801,0.18634827,0.17495169,0.16390403,0.15589255,0.14893691,0.13972346,0.12676497,0.11171323,0.09784594,0.08795115,0.08287883,0.08117784,0.08000943,0.07700342,0.07175385,0.06575304,0.0610857,0.059079483,0.059987765,0.06293031,0.066249214,0.067941874,0.066860266,0.06387734,0.062176224,0.06609764,0.07831391,0.097774394,0.11965499,0.1383826,0.15051594,0.15505393,0.15180852,0.14043729,0.122753374,0.10457071,0.09425709,0.097237445,0.11207209,0.13200457,0.15079425,0.1667551,0.18165839,0.19609904,0.20704018,0.20957774,0.20158733,0.18589514,0.16884685,0.1555093,0.14765161,0.14409643,0.1440983,0.1472184,0.1523931,0.15664534,0.1576394,0.15579884,0.15466766,0.15831682,0.16815044,0.18076539,0.18851805,0.1852811,0.17233549,0.1594038,0.15613377,0.16399516,0.17491919,0.17975593,0.17557,0.16740805,0.16249458,0.16481565,0.17265372,0.18174468,0.18914442,0.19534153,0.20213945,0.20991349,0.21696681,0.22172453,0.22454147,0.22675504,0.22824736,0.22641484,0.21796395,0.20163344,0.17952453,0.15609576,0.13585037,0.121128134,0.11174655,0.105880104,0.10207652,0.099775426,0.09941568,0.101100415,0.10423497,0.10763841,0.110925086,0.11523157,0.12213564,0.13161927,0.14128964,0.14841664,0.15216154,0.15362985,0.15394251,0.15332611,0.15259884,0.15391015,0.15986566,0.17023985,0.18209004,0.19066131,0.19316272,0.18886723,0.17963892,0.16766453,0.15540937,0.14469863,0.13685644,0.13136141,0.12596802,0.11835482,0.109425105,0.103399284,0.10475101,0.11330837,0.12376726,0.12905627,0.12593612,0.117723085,0.11235603,0.117866725,0.13671184,0.16466624,0.19165415,0.20829856,0.20940757,0.19757628,0.17870052,0.15986909,0.14470969,0.13507797,0.1300085,0.12793134,0.1263575,0.12344343,0.11784334,0.10889334,0.097040825,0.08401605,0.072752066,0.065413214,0.062469516,0.06221247,0.06255828,0.062006574,0.06037126,0.057900473,0.054913297,0.05158842,0.04832466,0.045802247,0.044768687,0.045709524,0.048502665,0.052379627,0.056189742,0.058947966,0.06018885,0.059960186,0.058592748,0.056796297,0.05597346,0.058516502,0.066647865,0.08073282,0.09776654,0.112931274,0.122507505,0.12684755,0.12957667,0.13512702,0.14476402,0.15707138,0.16862142,0.17876942,0.18809582,0.19833215,0.20668085,0.20843655,0.19965714,0.18446489,0.17269176,0.17427991,0.19053607,0.21517874,0.2391975,0.25794357,0.27036858,0.2769861,0.2765889,0.26920655,0.25668636,0.24414463,0.23483671,0.22955936,0.22527206,0.22009252,0.21468079,0.21274488,0.21690536,0.22633976,0.23667602,0.24265873,0.2394156,0.22401015,0.19674332,0.16630317,0.15108512,0.17617269,0.2564777,0.38145867,0.5096731,0.5923247,0.6031286,0.5553652,0.48624143,0.4288082,0.3951759,0.37917912,0.3708825,0.3641235,0.3588953,0.35643378,0.3575038,0.3604751,0.36336657,0.36448023,0.36380973,0.3626013,0.3637948,0.3713692,0.38773158,0.40886596,0.42381844,0.420352,0.39602697,0.35972908,0.32631126,0.30457893,0.29520154,0.29297087,0.29337636,0.29412302,0.2946885,0.29451528,0.29288244,0.28969005,0.28571787,0.28189003,0.27818426,0.27414334,0.2695851,0.2650636,0.26101005,0.25730821,0.25358322,0.24945055,0.2447146,0.2390758,0.23318274,0.22850232,0.22724567,0.2292971,0.23487836,0.24715935,0.2792185,0.3438631,0.44099274,0.5423763,0.6061647,0.602093,0.5353665,0.44046462,0.35614732,0.3046192,0.2874349,0.29814646,0.32686535,0.36191478,0.3860278,0.38643146,0.36196497,0.32580867,0.29343557,0.27329502,0.263763,0.25893703,0.2537569,0.24612059,0.2360121,0.22426504,0.21174859,0.19915952,0.1873417,0.17746286,0.17103465,0.16827993,0.16912599,0.17632894,0.20238338,0.26432624,0.36945125,0.49525526,0.5949462,0.6240615,0.57396466,0.4767075,0.37976304,0.3148177,0.28464136,0.27589574,0.274779,0.27582476,0.2779366,0.28065512,0.2824384,0.28242865,0.28047565,0.2767776,0.271037,0.2653663,0.265504,0.28034887,0.31131053,0.34790063,0.368767,0.36081097,0.32731298,0.28737572,0.2576119,0.24388348,0.24114259,0.24230395,0.24293697,0.24152929,0.23800309,0.23240578,0.22508733,0.21803556,0.21760304,0.23759288,0.2948667,0.39696202,0.525727,0.6365747,0.6807747,0.63634723,0.52453923,0.391669,0.281383,0.2113391,0.17883664,0.17314215,0.18673927,0.21554875,0.2550476,0.30555055,0.37071678,0.4557828,0.5490981,0.6219831,0.6409916,0.595614,0.5075591,0.41517392,0.34897828,0.31775007,0.31653634,0.3367673,0.3683993,0.3973125,0.4060848,0.38738593,0.34748766,0.30400002,0.2697715,0.24891359,0.23693764,0.22949131,0.22430249,0.22165816,0.22139071,0.2224011,0.22291236,0.22214276,0.22060907,0.21947186,0.21928106,0.22047554,0.22591591,0.2441895,0.2886475,0.3678693,0.47239342,0.5696786,0.62056,0.60539675,0.5402222,0.46301922,0.40689453,0.38094163,0.37574336,0.37757775,0.3794659,0.37982342,0.37939012,0.37857926,0.3778597,0.37795496,0.3785652,0.37885734,0.37778136,0.37720355,0.38182905,0.39482382,0.4127058,0.42377612,0.41807154,0.39486966,0.36491215,0.34046972,0.32750872,0.3245755,0.32648885,0.32945493,0.33062062,0.32942972,0.32572022,0.32056367,0.31477377,0.3088362,0.3029369,0.2969027,0.29090598,0.285218,0.28044787,0.27728212,0.27534008,0.27354005,0.26982626,0.26340806,0.25521955,0.24852012,0.24742019,0.25374657,0.26543984,0.27894053,0.29645467,0.33015966,0.39231813,0.4799547,0.56384164,0.6052537,0.58001494,0.4985639,0.39502,0.30537325,0.24905324,0.22924705,0.24295497,0.2812979,0.3284627,0.3583267,0.35282493,0.31109917,0.25413468,0.20428698,0.17434782,0.16197814,0.16021462,0.16332515,0.16955934,0.17783527,0.18579268,0.19031195,0.1894878,0.1842771,0.17742236,0.17222206,0.17026412,0.1736931,0.18808122,0.22699316,0.30271706,0.41314408,0.52817214,0.6041123,0.60866237,0.54659885,0.45244768,0.36764124,0.31414765,0.2921634,0.28986713,0.29712358,0.30802298,0.31934825,0.32815015,0.3326582,0.3326626,0.32955992,0.3251578,0.32189357,0.3229011,0.3318107,0.35124007,0.37711588,0.39918625,0.40325835,0.3851696,0.35183236,0.31920955,0.29738125,0.2880397,0.2855784,0.2850967,0.28458023,0.28428635,0.28447366,0.2842087,0.2823677,0.2804787,0.28542042,0.31103483,0.37036225,0.46489868,0.5711394,0.6476583,0.65530187,0.5856996,0.46638003,0.34287706,0.24956988,0.19598956,0.17370814,0.1718507,0.18310082,0.20338054,0.2296536,0.2688657,0.33405724,0.4327948,0.5437499,0.62275845,0.6287583,0.5563778,0.4379183,0.31775036,0.2277493,0.17875959,0.17272098,0.20513897,0.26284322,0.3190445,0.34628248,0.33389378,0.29458,0.25215077,0.2233538,0.21156193,0.21112363,0.21566957,0.22085613,0.22504854,0.2282012,0.23144479,0.23541756,0.23957379,0.24219327,0.24172193,0.23783101,0.23322256,0.23562478,0.259048,0.3171294,0.4109429,0.5179548,0.5993871,0.6226971,0.5839329,0.50917906,0.43436277,0.38383022,0.3609669,0.3568003,0.35959652,0.36219385,0.3611577,0.3562772,0.34921196,0.34299707,0.34009564,0.34072098,0.3426164,0.344753,0.34949407,0.36311808,0.38634583,0.4114459,0.42214176,0.40985036,0.37806776,0.34232545,0.3146249,0.29921243,0.2921888,0.28905836,0.28668857,0.2840028,0.28065917,0.27679864,0.27220526,0.26663855,0.2602458,0.25456667,0.25136837,0.25122806,0.25265864,0.25364265,0.25361922,0.25363502,0.2548566,0.25687528,0.25848773,0.25915906,0.26010844,0.2631834,0.2690203,0.27692565,0.28776228,0.30894396,0.35323206,0.42810354,0.5210014,0.597245,0.62003493,0.5758401,0.48629487,0.38966504,0.31785282,0.28123978,0.2765736,0.29607388,0.32968676,0.36297253,0.37757537,0.36508617,0.3305343,0.29133645,0.2604083,0.24180035,0.23020084,0.2203452,0.20995337,0.20010756,0.19210543,0.18554676,0.17871033,0.17005621,0.16023004,0.15180568,0.14764793,0.14894094,0.15707637,0.17886144,0.22883098,0.31880692,0.44046068,0.5563052,0.618499,0.5999779,0.5155605,0.40869305,0.32185364,0.27311137,0.25651288,0.25690708,0.26201352,0.26645204,0.26806664,0.2668394,0.26346698,0.25997952,0.2574742,0.25598332,0.25529626,0.2581276,0.27059746,0.2974445,0.33405495,0.3643321,0.37012255,0.3462701,0.30500695,0.26639715,0.242797,0.23418093,0.23334372,0.23441647,0.23561825,0.23743951,0.23984428,0.24125159,0.23986083,0.23794393,0.24543436,0.28096506,0.3593723,0.47660646,0.59801215,0.6741329,0.6686005,0.5828604,0.452854,0.32410344,0.22826642,0.17322208,0.15344517,0.15937503,0.18412423,0.22146668,0.26790804,0.32692662,0.40600953,0.50436187,0.59804505,0.6494715,0.6316245,0.5526027,0.44821724,0.35741237,0.30015543,0.27741024,0.2834915,0.3101993,0.34542918,0.36982527,0.36912754,0.3424838,0.30459252,0.27159008,0.2515762,0.24218954,0.23740976,0.23302831,0.22845943,0.225132,0.2237664,0.22315802,0.22110225,0.21681207,0.21172456,0.20817117,0.20709659,0.2093914,0.2196001,0.24990489,0.31367168,0.4120356,0.52117926,0.5997062,0.61440897,0.5644946,0.48263362,0.4088894,0.3655754,0.34970796,0.34681866,0.34599146,0.3440778,0.3425747,0.3414705,0.33985677,0.3361272,0.330626,0.32468832,0.31970334,0.31789088,0.32209256,0.33691064,0.36066678,0.3849386,0.39438152,0.38204357,0.35211405,0.3195703,0.29533315,0.2826784,0.2772385,0.27499035,0.27401125,0.27480555,0.27714106,0.28021064,0.28207392,0.28177384,0.27924228,0.27609763,0.27405167,0.2739607,0.27506915,0.27575383,0.2748818,0.2724885,0.26959422,0.26708546,0.26486158,0.26231813,0.25935185,0.25781727,0.25944796,0.26633525,0.2803104,0.3093367,0.3622253,0.4420586,0.53005415,0.5922014,0.596152,0.5371122,0.44029465,0.34331694,0.2739573,0.24052097,0.24079283,0.2679381,0.31086668,0.349856,0.3631285,0.3416113,0.29496464,0.24439394,0.2054104,0.1820904,0.16975455,0.16358922,0.16082324,0.16024922,0.16040915,0.15968658,0.157064,0.15280777,0.14893094,0.14830647,0.15295337,0.16301684,0.17987804,0.21189779,0.27395737,0.37444773,0.49742135,0.59959674,0.63448364,0.5829693,0.4685696,0.33628106,0.22611357,0.15235847,0.111534975,0.09203734,0.08508598,0.08390275,0.083913684,0.08220597,0.07834073,0.07379354,0.07041377,0.069403954,0.07079892,0.07358781,0.07628936,0.07776529,0.07830029,0.07895005,0.08062813,0.08249274,0.08301076,0.081131436,0.077853285,0.075062454,0.07387141,0.07351681,0.07216593,0.069050066,0.064985715,0.06192425,0.060565133,0.060265835,0.059496168,0.058100987,0.057260837,0.059010327,0.06434344,0.072725475,0.08200578,0.08962367,0.093657784,0.09360064,0.09021618,0.08492298,0.0791192,0.07369616,0.06902129,0.06534975,0.06330698,0.06382365,0.06709386,0.07185007,0.07549232,0.07596812,0.072907984,0.06784489,0.062521115,0.057962213,0.05428909,0.051660463,0.050751876,0.05221354,0.055916887,0.060325027,0.063631974,0.06461131,0.063551374,0.06126191,0.05853033,0.055584043,0.052844882,0.05128257,0.052173648,0.05595543,0.061402306,0.06614672,0.06828698,0.06762892,0.0654052,0.06289147,0.060433984,0.05751811,0.05352786,0.048245136,0.041940827,0.035203412,0.028760778,0.023224184,0.018881522,0.015630467,0.013181251,0.01126524,0.009745333,0.008557125,0.00765173,0.0069614365,0.006405274,0.0058930386,0.0053529865,0.00475023,0.0040996806,0.003436897,0.0027989915,0.0022051937,0.0016685225,0.0012005498,0.0008226082,0.0005636302,0.00045374752]