[0.0189496,0.019553205,0.021194564,0.023982232,0.027677247,0.03155157,0.03461266,0.035905544,0.034916356,0.03163318,0.026610985,0.020742737,0.015372515,0.012339761,0.013944134,0.021817809,0.03533126,0.05059585,0.06258797,0.06983406,0.0782193,0.09855863,0.13733962,0.18900098,0.23701273,0.26581994,0.27056968,0.25875035,0.24166125,0.22737245,0.21814941,0.21315949,0.21096276,0.2104743,0.21069665,0.21071084,0.21015286,0.20945221,0.20929122,0.20996326,0.21081859,0.2099598,0.20398398,0.18925029,0.16426556,0.13225546,0.10045729,0.077681065,0.07023252,0.081107795,0.108496,0.14718291,0.18788564,0.22070013,0.23683304,0.23183824,0.20688498,0.17002015,0.13590097,0.12038347,0.13417277,0.17520936,0.22980626,0.2765961,0.29832563,0.28816023,0.25354046,0.20853579,0.16606545,0.13162081,0.105457544,0.08821011,0.08364258,0.09672799,0.12670386,0.165398,0.19966541,0.22032832,0.22491665,0.21656705,0.19790925,0.17105103,0.13956313,0.11114699,0.09350541,0.089468546,0.09426848,0.10138918,0.109377615,0.12431624,0.15132777,0.18585621,0.21254928,0.21691366,0.1953324,0.15718247,0.115952194,0.08192129,0.058705334,0.045411196,0.039015446,0.036512952,0.03586668,0.036037367,0.036797334,0.038563672,0.042493384,0.04934817,0.058983702,0.070989795,0.08795911,0.11509269,0.15624356,0.20754284,0.25801316,0.2960055,0.31628934,0.32150206,0.3177142,0.31068587,0.3030382,0.2950709,0.28443727,0.26744857,0.2414012,0.20923066,0.18245633,0.17496443,0.1931669,0.22829361,0.26423362,0.28792855,0.2972074,0.29618862,0.2906501,0.28447902,0.2794445,0.2739211,0.2633897,0.2437656,0.21544255,0.18369095,0.15460707,0.13166754,0.11628429,0.11180088,0.12270173,0.14928992,0.181863,0.20527542,0.20902705,0.19482915,0.17282404,0.1527005,0.13786002,0.12687986,0.11875302,0.11704881,0.12803178,0.1542918,0.18787362,0.21355385,0.2180727,0.19972801,0.16643377,0.12941584,0.09695717,0.0736067,0.06144644,0.06129426,0.075198434,0.10459038,0.14826943,0.19787212,0.2420892,0.2713393,0.28307387,0.27861464,0.2602144,0.22923721,0.18893363,0.14601393,0.11038801,0.0921571,0.0986062,0.13020451,0.17943124,0.23204148,0.27493218,0.30135027,0.31340408,0.3159065,0.31292245,0.30540612,0.294531,0.28224885,0.27147344,0.2637001,0.25854003,0.25430176,0.25003612,0.24680544,0.24657369,0.24931403,0.2503988,0.2418627,0.21829994,0.18286984,0.14895257,0.13188995,0.13892019,0.16194569,0.183116,0.18592834,0.16608815,0.1324981,0.0999675,0.081047185,0.08239416,0.10555875,0.1469477,0.19574077,0.23616564,0.25283465,0.2402376,0.2039308,0.15917437,0.12212008,0.1058807,0.115557104,0.14862747,0.19404817,0.23597439,0.25941613,0.2572189,0.23265137,0.19555366,0.15669268,0.12320449,0.09900668,0.084773995,0.079839736,0.08266233,0.09498627,0.1198161,0.15858121,0.20375311,0.24355952,0.26763904,0.2758977,0.2743607,0.2713141,0.27116573,0.27553082,0.28290692,0.29078236,0.29566,0.29470077,0.28589544,0.27034044,0.2529637,0.2400623,0.2328896,0.22392422,0.20307499,0.16698128,0.12399397,0.08644991,0.06257156,0.052010242,0.05037907,0.05272076,0.055957537,0.057957653,0.05766653,0.054864883,0.050344434,0.04535225,0.041144516,0.038617257,0.038030375,0.03898176,0.040374976,0.04133233,0.041483622,0.041506946,0.041799415,0.042459052,0.042599972,0.04187441,0.040218472,0.038407344,0.036667883,0.034993842,0.032976788,0.03080528,0.029079257,0.028427662,0.029010832,0.030416451,0.032428835,0.034915194,0.037897676,0.040540904,0.041728783,0.04046212,0.037187252,0.033508416,0.031767935,0.033676848,0.03970961,0.0487414,0.058628052,0.067141205,0.07285619,0.07554025,0.07560659,0.073438995,0.06889701,0.061809164,0.05263698,0.04291901,0.035171118,0.032568555,0.038174313,0.053476185,0.07760236,0.10838016,0.14444356,0.18433829,0.22405796,0.25508174,0.26892254,0.2619233,0.23981227,0.21552692,0.20357637,0.21134494,0.23278587,0.25232247,0.25391325,0.23346145,0.19969545,0.17048013,0.16079926,0.17773856,0.21588738,0.26352727,0.30497673,0.33067048,0.3378671,0.33391622,0.3265938,0.3202817,0.31227994,0.29953298,0.28166232,0.26115236,0.2386365,0.21278791,0.18292297,0.15338117,0.13189691,0.12714504,0.1428442,0.17617463,0.21632798,0.25060877,0.26986945,0.2734557,0.26674467,0.25754017,0.25185278,0.25215974,0.2554702,0.25499448,0.24342684,0.2202422,0.19299567,0.17462337,0.17265402,0.18470234,0.20015068,0.21062875,0.2150119,0.21826291,0.22434701,0.23360418,0.24346419,0.25211033,0.25912872,0.26535836,0.27128458,0.27681205,0.28130642,0.2842578,0.2857833,0.28647378,0.2872341,0.28848997,0.29006347,0.29093966,0.29021767,0.28776228,0.28455082,0.2818456,0.28015515,0.27868953,0.27559578,0.26918653,0.2592681,0.24774702,0.23758918,0.23088302,0.22709708,0.22281145,0.21379076,0.19929446,0.18547493,0.18219389,0.19426848,0.21371984,0.22433688,0.21433745,0.18711102,0.15752614,0.13865982,0.13285376,0.1344995,0.14140429,0.15712447,0.18547767,0.22118764,0.25292677,0.27148017,0.27641964,0.27314487,0.266406,0.2570721,0.2423688,0.2192092,0.18684709,0.14954908,0.115612805,0.09374622,0.08942034,0.10407529,0.13573933,0.17864496,0.22278862,0.2566124,0.2712422,0.263176,0.234814,0.19351833,0.15126008,0.11865417,0.10081757,0.09469547,0.09647071,0.105481386,0.124201454,0.15171058,0.18193686,0.20766525,0.22540627,0.2369247,0.24587464,0.255755,0.26819113,0.2827127,0.2963384,0.30491927,0.3056159,0.29770026,0.28097963,0.25453362,0.21859652,0.1781057,0.14145206,0.11569024,0.10232789,0.100416385,0.11101425,0.13688661,0.17644157,0.21963082,0.25315148,0.26926157,0.27109358,0.2680612,0.26773897,0.27131474,0.27536252,0.27755907,0.2785832,0.28091317,0.28459048,0.2871062,0.28517798,0.2774422,0.2637467,0.24325,0.21512198,0.18062942,0.14567824,0.11715058,0.1007695,0.09872513,0.112488724,0.1403926,0.17616196,0.20780157,0.22399138,0.21995516,0.20058449,0.17819215,0.1664627,0.17317659,0.1937951,0.21388213,0.21781625,0.19985478,0.16677375,0.13266052,0.109427445,0.100893855,0.10273835,0.107324325,0.10839882,0.10346678,0.092915125,0.07906868,0.06484342,0.053319324,0.046414252,0.044540767,0.046644375,0.051273122,0.057014387,0.062325317,0.065390706,0.06517025,0.062429715,0.059578504,0.05853076,0.059411585,0.060846966,0.061566714,0.06106193,0.059206676,0.056015402,0.051925093,0.047940586,0.04513518,0.04385343,0.04359285,0.043393135,0.042481806,0.040990192,0.03975743,0.039914668,0.041551434,0.043963145,0.04601484,0.047483604,0.04852904,0.049500573,0.05002451,0.049911454,0.049128998,0.048268076,0.04766756,0.047470216,0.04742561,0.04721171,0.046794668,0.048101474,0.05620569,0.07866372,0.11902746,0.17275548,0.22639215,0.26721504,0.28802958,0.28971258,0.27633488,0.25550786,0.23772448,0.23313904,0.24473567,0.2650042,0.28240338,0.28929198,0.28675243,0.27963278,0.27226266,0.26485196,0.25588325,0.24246617,0.22255915,0.19535215,0.1646582,0.1389376,0.12978792,0.14453153,0.18149565,0.22830279,0.27005014,0.29713714,0.3105338,0.3162022,0.31791866,0.31200466,0.29142624,0.25345927,0.20556796,0.16169506,0.13344008,0.123725444,0.13109846,0.15652628,0.20382619,0.27043366,0.34140277,0.39580178,0.4204632,0.41735187,0.39776954,0.37287632,0.34902835,0.3300059,0.3175793,0.31203553,0.3110197,0.31349298,0.3188462,0.32781366,0.3385378,0.349324,0.35802135,0.3647196,0.3689022,0.37009057,0.36719814,0.36125326,0.3549917,0.35092536,0.3484575,0.34391844,0.3340666,0.318525,0.30085543,0.2855803,0.27670103,0.2747729,0.2777128,0.28120992,0.2819701,0.27896294,0.27315652,0.2641249,0.24807078,0.21995087,0.17993988,0.13558964,0.09809954,0.07402407,0.063045785,0.060415477,0.06184729,0.06476664,0.067881614,0.070348196,0.07176646,0.072204895,0.07215432,0.07256877,0.075753465,0.08546185,0.10690465,0.14244102,0.18865848,0.23343484,0.2632346,0.27114952,0.26448688,0.257804,0.26229742,0.27650842,0.2915771,0.29901347,0.29694045,0.2862424,0.2684276,0.24425328,0.21636803,0.188887,0.16748194,0.1587993,0.16763602,0.19283585,0.22369511,0.24655108,0.2523485,0.24338795,0.22808534,0.21479954,0.20631571,0.20156737,0.19967465,0.20298249,0.2154396,0.23738952,0.2621934,0.27996704,0.2841412,0.2765267,0.26402435,0.25404924,0.24952328,0.24921858,0.24914908,0.2460617,0.23905206,0.23012094,0.22280742,0.22094661,0.22670186,0.23901223,0.25285873,0.26182595,0.26097164,0.24899854,0.22665687,0.19663112,0.16360609,0.13624981,0.12444361,0.13411243,0.16200541,0.19674699,0.22640735,0.24514373,0.2549187,0.25987795,0.26244205,0.26237905,0.2601633,0.25819567,0.25944915,0.26472428,0.27149904,0.27614427,0.2765652,0.2740779,0.27182963,0.27250084,0.2762742,0.28103554,0.2836525,0.28181633,0.2744805,0.2621452,0.24576847,0.22738093,0.20891684,0.19197218,0.17591351,0.1590784,0.14015223,0.12045342,0.1036655,0.09612625,0.10663698,0.14506604,0.21523881,0.30830908,0.40297553,0.4784406,0.52630174,0.5535844,0.57145286,0.5859072,0.59509903,0.59624666,0.59070945,0.5836039,0.57921654,0.577633,0.5768171,0.5756109,0.574692,0.5746935,0.5745444,0.57322335,0.5705796,0.5682005,0.56695676,0.5669799,0.5669181,0.56578517,0.5632623,0.5609862,0.5609686,0.5638874,0.56740046,0.5681748,0.5652483,0.56177044,0.5623222,0.56827825,0.57433003,0.56950665,0.54109186,0.4824355,0.3979188,0.30397013,0.22029756,0.16190667,0.13424613,0.1363107,0.16189386,0.20070697,0.2389191,0.2652973,0.275294,0.27332714,0.26716062,0.26332763,0.26144108,0.2557589,0.23919474,0.21013796,0.17458647,0.14364468,0.12758301,0.13067847,0.1475107,0.16529606,0.16977334,0.15577632,0.12919743,0.10281992,0.08539728,0.079415865,0.08386872,0.100840785,0.1327886,0.17793208,0.22513215,0.26089558,0.27678716,0.2757969,0.26613495,0.25522205,0.24542923,0.23844962,0.23664369,0.24147578,0.24828295,0.2474997,0.23085587,0.19826102,0.15850687,0.12391768,0.104430534,0.10329714,0.116328835,0.13331574,0.1433249,0.14112304,0.12980422,0.11669757,0.10635067,0.097959556,0.08897928,0.07928974,0.07187528,0.06922411,0.07154357,0.07646206,0.08130928,0.08382838,0.0830703,0.079038076,0.07280388,0.065844946,0.059950944,0.05692998,0.05955003,0.07144406,0.09699056,0.13672179,0.18518426,0.22974904,0.25927535,0.2695022,0.26693037,0.26138842,0.26032683,0.26365656,0.26592377,0.2596742,0.24022447,0.20827913,0.17009307,0.13477977,0.10981474,0.098412625,0.10002902,0.11388698,0.14012712,0.17760648,0.22039874,0.25860742,0.2835503,0.29273716,0.2902791,0.28271914,0.27484605,0.26803115,0.26117763,0.25222188,0.2389143,0.22025158,0.19886439,0.18318598,0.18672688,0.21900606,0.27833712,0.34591648,0.39938203,0.4226034,0.4182688,0.39773086,0.37419894,0.3522919,0.3322431,0.31338918,0.29783323,0.28858522,0.28673592,0.291597,0.30118886,0.3139094,0.32678497,0.33708,0.34220472,0.34166598,0.33550084,0.32468888,0.3115646,0.29968715,0.29307115,0.2935631,0.30131584,0.313635,0.32706365,0.33701614,0.34093156,0.33764234,0.32895803,0.3173865,0.3065093,0.2992005,0.29706618,0.29962036,0.3034524,0.3051882,0.3023837,0.29560912,0.28360486,0.2629331,0.23021156,0.18950655,0.15256336,0.1307406,0.12568457,0.12900738,0.13216944,0.13530575,0.14569615,0.16819255,0.19750111,0.22162567,0.23080437,0.2246192,0.2100447,0.19528575,0.18424736,0.17567621,0.165781,0.1521266,0.1365589,0.12551565,0.12708946,0.1453063,0.17580606,0.20589666,0.22155233,0.21474175,0.18778288,0.15008876,0.11280162,0.08350291,0.064924635,0.05612873,0.054576267,0.057532053,0.062352914,0.06698933,0.07040303,0.07275789,0.07473927,0.07665502,0.07805448,0.07801337,0.07587401,0.07172561,0.066658154,0.06290284,0.0642801,0.075646825,0.10031504,0.13620763,0.17436711,0.20254673,0.21277554,0.20724666,0.198922,0.2025664,0.22565293,0.261368,0.29649463,0.31942233,0.3286729,0.32825705,0.32405707,0.31867364,0.31167996,0.29899395,0.27673343,0.24602155,0.21758145,0.2058553,0.21913736,0.25004986,0.2807766,0.2940879,0.28521204,0.26048866,0.22999497,0.19925521,0.16987367,0.14499892,0.1320845,0.13963622,0.16856126,0.2109611,0.25237402,0.28185466,0.2935672,0.28805566,0.26654026,0.23227036,0.19024356,0.14974394,0.12065271,0.11145226,0.125025,0.15840463,0.20196407,0.24406923,0.2757739,0.2945019,0.3016871,0.29900894,0.287181,0.26822296,0.24837776,0.23830456,0.2501879,0.2910935,0.35627174,0.42793548,0.4850103,0.5163259,0.52740043,0.5315812,0.53869766,0.5475345,0.5536687,0.55487585,0.5560936,0.56134313,0.5709676,0.57899517,0.57988805,0.5724357,0.56101847,0.5526058,0.5509625,0.55590016,0.5624483,0.5676026,0.57041454,0.5739158,0.5784192,0.58232623,0.5816634,0.5759198,0.56733567,0.5602467,0.5566981,0.5562555,0.556212,0.5546296,0.5512824,0.5471131,0.5411671,0.52830225,0.50234026,0.46096766,0.41063806,0.36232606,0.32604396,0.30506095,0.29718196,0.29701033,0.29865447,0.2972785,0.2904944,0.2789236,0.26448467,0.2480448,0.22895505,0.20671077,0.18297945,0.16033466,0.14068942,0.124737255,0.11490446,0.116239406,0.13372602,0.16676694,0.20719774,0.24347627,0.26772937,0.2792162,0.28196493,0.27986225,0.275064,0.26897433,0.26390874,0.26170278,0.2624584,0.2636563,0.26124895,0.25010026,0.22659008,0.19117315,0.15063654,0.11452911,0.09013619,0.079718836,0.08304485,0.10035054,0.13017051,0.16646434,0.19858281,0.2185797,0.225756,0.2264549,0.22705948,0.22972156,0.23226018,0.23246038,0.23071642,0.22940397,0.22962487,0.22959644,0.22532113,0.21314259,0.19160087,0.16293286,0.13291232,0.10843307,0.09445103,0.09234034,0.10196802,0.121123366,0.14465311,0.16199978,0.16368054,0.14673519,0.11867023,0.0902333,0.06923446,0.05703582,0.051722944,0.050909027,0.052626297,0.05492993,0.055819113,0.054198276,0.050342303,0.04582629,0.04261081,0.041950207,0.04366523,0.046117917,0.047343817,0.046319295,0.043751795,0.041376825,0.04049693,0.04118283,0.042374376,0.04326227,0.04352839,0.04370438,0.044134196,0.045181736,0.046710372,0.04841238,0.04962044,0.04983573,0.049218003,0.048392344,0.047885593,0.04741183,0.046515416,0.04516219,0.0440542,0.043847527,0.04471962,0.046387073,0.048668608,0.05158015,0.055213716,0.059195045,0.06268329,0.064585745,0.064425685,0.06255901,0.05988283,0.05690263,0.053577453,0.049685568,0.045416538,0.041220754,0.037589967,0.035077702,0.03462602,0.037239302,0.042925224,0.049843803,0.054935575,0.056492973,0.056619525,0.061599553,0.07755483,0.10521859,0.13721053,0.1633743,0.1785279,0.18649597,0.19509663,0.20801635,0.22228773,0.23257291,0.23745394,0.24020255,0.24565834,0.25649548,0.27204415,0.28952816,0.30562225,0.3181615,0.32574034,0.3274316,0.3225952,0.31269225,0.30169785,0.2944907,0.29302144,0.29416177,0.29034278,0.27377948,0.24129455,0.1976841,0.15477253,0.12644787,0.12305125,0.1460879,0.18839471,0.23586679,0.27518344,0.29700372,0.29858708,0.28037682,0.24692653,0.20750166,0.17577921,0.16387235,0.17442788,0.19937527,0.22382939,0.23729241,0.24026166,0.24880087,0.28705946,0.37124905,0.49332526,0.61616653,0.6952415,0.70184404,0.6426961,0.5478137,0.45433494,0.38479173,0.3447189,0.3258425,0.3189428,0.32161304,0.34299526,0.39468658,0.47962925,0.5786514,0.6563086,0.6766226,0.6268384,0.5254682,0.41132393,0.32095507,0.27077177,0.25624952,0.26227465,0.27529323,0.2902037,0.30756992,0.32772085,0.34453487,0.34988102,0.34170738,0.32731405,0.31651178,0.31221688,0.3111694,0.30931112,0.30654827,0.30297568,0.29659456,0.28457344,0.26791564,0.2518555,0.24204592,0.24113095,0.24845862,0.2619059,0.27684882,0.28694943,0.28650758,0.27631533,0.2624561,0.25125906,0.24497126,0.2432568,0.24768083,0.2576591,0.2693293,0.27338254,0.26631486,0.25061014,0.23519742,0.22468145,0.22135794,0.22582288,0.2426653,0.2716613,0.30449823,0.32235804,0.3135823,0.28138462,0.24477719,0.22083814,0.21518989,0.22290027,0.2344548,0.24115641,0.23366939,0.20917048,0.17341459,0.1414892,0.12671177,0.13339859,0.15514477,0.18041873,0.19910383,0.20644481,0.20510556,0.20273526,0.20638734,0.21444142,0.21658419,0.20082909,0.16686094,0.12716892,0.10098303,0.09950801,0.12221197,0.15727963,0.19090939,0.2125246,0.22076754,0.2231146,0.23344977,0.26070738,0.30026647,0.33189026,0.33578634,0.3080181,0.2644266,0.2258293,0.20294417,0.1941675,0.19246523,0.1936543,0.19626456,0.20071423,0.2065062,0.21251495,0.21662052,0.21719863,0.21479839,0.21315856,0.21784322,0.2307046,0.24710228,0.2565255,0.2524092,0.2355174,0.21443541,0.19685596,0.18754347,0.18781574,0.19573347,0.20734543,0.21584015,0.21948822,0.21927212,0.21994132,0.22156394,0.2242611,0.22914483,0.2426856,0.26633766,0.29301468,0.30531588,0.29371974,0.26216033,0.22901314,0.20992862,0.21465111,0.24992263,0.32356527,0.43762287,0.574991,0.70361614,0.7900803,0.8203556,0.8010532,0.7532639,0.6988489,0.65410894,0.62558126,0.611815,0.607513,0.61002594,0.6218199,0.6455192,0.674795,0.6910557,0.675174,0.6253368,0.5629516,0.51788807,0.5056868,0.52066064,0.5450773,0.5653193,0.5764656,0.5800607,0.57857424,0.57325095,0.56540567,0.55748564,0.5545094,0.55989665,0.5732992,0.58929485,0.6020751,0.60651135,0.59646004,0.5609572,0.4903634,0.38584557,0.26688227,0.16030012,0.08616802,0.047463074,0.038018253,0.052468743,0.08852292,0.13923584,0.18651955,0.20959093,0.19824137,0.1611795,0.11783048,0.086620174,0.077331744,0.09093756,0.118478976,0.14368346,0.14910476,0.12983268,0.09470701,0.060607716,0.038524963,0.034078743,0.050951343,0.093931854,0.158709,0.22625192,0.26839247,0.26860774,0.2317474,0.17989667,0.13467732,0.109202415,0.106906205,0.121986724,0.1408837,0.14538561,0.12741803,0.0921545,0.055964325,0.03025102,0.018040132,0.014685523,0.01598704,0.019776687,0.026971245,0.040466428,0.06488537,0.100322194,0.1389523,0.16504388,0.16801964,0.14984296,0.12502478,0.10703901,0.10022733,0.0993161,0.097010046,0.08989656,0.08126706,0.08078312,0.100690715,0.14909343,0.22027409,0.2941415,0.34348133,0.35340595,0.32789862,0.28722864,0.24928565,0.2217639,0.20131125,0.18417163,0.17155592,0.1693222,0.1812375,0.20396988,0.2280391,0.24317576,0.24436833,0.23452759,0.22459586,0.22673398,0.24675138,0.27695486,0.30366695,0.31600842,0.31492746,0.3074957,0.30155388,0.30040094,0.30364576,0.30809715,0.3092772,0.30446836,0.29399446,0.28006244,0.26283097,0.24108897,0.21730576,0.20253636,0.21011609,0.24361701,0.28893784,0.32448217,0.3370736,0.33071116,0.31857044,0.3134264,0.32433152,0.36168966,0.43134117,0.52752566,0.62247205,0.6829036,0.68403953,0.62945,0.5408614,0.44841254,0.3720051,0.31996536,0.2908874,0.28197122,0.29341927,0.32930017,0.39345905,0.48186836,0.5753557,0.64254665,0.6537567,0.6011961,0.5047759,0.4017508,0.3226379,0.27866173,0.26179495,0.2598195,0.26507184,0.2779936,0.30018187,0.32880428,0.3544722,0.36583528,0.35821304,0.336104,0.31108835,0.29270843,0.28520718,0.28633457,0.29133713,0.29517493,0.29463652,0.28909516,0.27978268,0.26867414,0.25685462,0.24581687,0.23856084,0.240676,0.25495568,0.27845883,0.30033278,0.311154,0.30590585,0.28689978,0.2571828,0.2226031,0.1925546,0.17764594,0.18195474,0.19763519,0.2142015,0.22576003,0.23508543,0.24438906,0.2538927,0.26286146,0.27436042,0.29002818,0.3058776,0.3114868,0.2998238,0.27231678,0.23784715,0.20449555,0.17683907,0.15840791,0.15287176,0.16095032,0.17743385,0.19450618,0.20782875,0.2165457,0.22091101,0.21904998,0.21017174,0.19499762,0.17521256,0.15218604,0.129515,0.11578628,0.12109206,0.14706759,0.18245053,0.2081707,0.21402578,0.2027083,0.1869654,0.17522888,0.17032033,0.16995366,0.1729169,0.17826177,0.18602113,0.19782639,0.21867229,0.25262526,0.29491568,0.32832,0.3330139,0.3029557,0.25248146,0.20624493,0.18115516,0.17836885,0.18711857,0.19611637,0.19983505,0.1993352,0.19802272,0.19821386,0.20029683,0.20322959,0.20717342,0.21358347,0.22586496,0.2429287,0.25761518,0.25630334,0.23167403,0.18759024,0.14036624,0.10686239,0.09871006,0.11801416,0.1566487,0.19780432,0.22197618,0.22055078,0.19932425,0.1748928,0.16045944,0.16208291,0.17859077,0.20730494,0.24128981,0.26943025,0.27717528,0.2579153,0.21677081,0.16960065,0.1323937,0.1187705,0.14204825,0.21520455,0.34104255,0.50073344,0.6568344,0.7722668,0.82872444,0.8319822,0.8002152,0.75405335,0.708606,0.67411834,0.65359694,0.6458252,0.64703983,0.6574684,0.67795736,0.7070675,0.7313935,0.7350517,0.70866585,0.66403884,0.62261707,0.60229915,0.6036764,0.6165249,0.6298465,0.6385514,0.64242333,0.64129907,0.6338851,0.61873674,0.59878016,0.58164674,0.5761597,0.5851285,0.60385126,0.6230934,0.63405657,0.6280246,0.5944213,0.5248729,0.4215587,0.30394727,0.19934453,0.12852624,0.094550155,0.08925843,0.10401654,0.13550606,0.17855865,0.21997927,0.2409619,0.23132885,0.19648822,0.15411074,0.12040073,0.104427464,0.10903945,0.13265364,0.16915895,0.20555371,0.2309498,0.24012215,0.23897253,0.23455171,0.23367192,0.2386657,0.25323954,0.2774895,0.30681515,0.32802415,0.33105198,0.3140367,0.28739315,0.26242673,0.2470777,0.24278943,0.24634512,0.2506902,0.2462504,0.22942889,0.20440833,0.18341102,0.17554767,0.1832564,0.19994016,0.21672828,0.22675999,0.22965485,0.23025228,0.23540367,0.24710707,0.25925624,0.25937244,0.23924617,0.20217048,0.16234046,0.13276362,0.117928416,0.11409375,0.11830852,0.13084726,0.15324576,0.18367912,0.21928845,0.2593299,0.30312243,0.3445189,0.3698573,0.36792207,0.33808073,0.29159802,0.24141729,0.19587195,0.15773462,0.12807463,0.10791594,0.09868916,0.10181,0.1170967,0.14053,0.16402584,0.18049462,0.18927455,0.19796742,0.21447778,0.23859282,0.2583556,0.2597856,0.23813294,0.20268936,0.16894518,0.14856601,0.14493968,0.15479065,0.16997193,0.17948931,0.17338842,0.15016726,0.11713459,0.08587476,0.064188965,0.057183374,0.07014904,0.10799501,0.16599144,0.22525167,0.2605857,0.25858518,0.225802,0.18276359,0.15075065,0.14733149,0.18951468,0.28758743,0.434726,0.59392047,0.7144952,0.7537231,0.70554847,0.5971089,0.47450638,0.37455836,0.3136016,0.2879616,0.2874181,0.30548492,0.34338692,0.40603566,0.4923574,0.58769447,0.6624878,0.688267,0.6531176,0.5731276,0.47887257,0.3999429,0.34887946,0.32368764,0.3142685,0.3123118,0.3148556,0.32385135,0.3402195,0.35922107,0.37112078,0.36946428,0.3562634,0.3398765,0.32689443,0.3184028,0.3123056,0.3066487,0.29959694,0.28828755,0.2708379,0.25055638,0.23515584,0.23110865,0.23749691,0.24864288,0.26039794,0.2729201,0.2862451,0.29591584,0.29614857,0.2854959,0.2690625,0.25405732,0.24538463,0.2450804,0.25218335,0.26320103,0.271458,0.27177215,0.26320413,0.24961321,0.23458219,0.2201754,0.20896967,0.20809318,0.22447662,0.2572784,0.29270712,0.31319427,0.3098206,0.2883701,0.26271334,0.24440561,0.23875357,0.24474753,0.2570156,0.26720974,0.2681876,0.25929224,0.24571717,0.23455857,0.22852671,0.22644942,0.22535451,0.22379915,0.22180031,0.22111301,0.22408547,0.23331267,0.24634713,0.2566292,0.2539231,0.23556693,0.20587659,0.17626917,0.15371288,0.13992803,0.13018253,0.12040772,0.11006493,0.105615474,0.11714355,0.1532547,0.21249895,0.28001672,0.332258,0.3503087,0.3329356,0.29550704,0.25851032,0.23328674,0.22097051,0.21692567,0.21706955,0.21808682,0.21800523,0.2158668,0.21235125,0.2087131,0.20629217,0.20686018,0.21305771,0.22811663,0.2512242,0.2754533,0.2881385,0.28080693,0.25406897,0.2182647,0.18536766,0.16453631,0.16081874,0.17202838,0.18829115,0.19354315,0.1804381,0.15625161,0.13944292,0.14154954,0.16025592,0.1856476,0.21280545,0.24209142,0.27149582,0.29137787,0.2929897,0.2750706,0.24473427,0.21000506,0.18129803,0.17613125,0.21882825,0.3228775,0.47470632,0.63171655,0.7488299,0.8015502,0.797889,0.76145965,0.71685314,0.67761517,0.6494704,0.6324692,0.6251982,0.6261057,0.63632625,0.6568641,0.68366194,0.7019624,0.69338864,0.65034515,0.58687943,0.5314167,0.5063043,0.5145097,0.54209197,0.5726082,0.5962054,0.6104364,0.61633116,0.6151381,0.60820866,0.5970412,0.58507967,0.5765013,0.57484746,0.5799697,0.588515,0.59432036,0.58932954,0.5623956,0.50355965,0.41068074,0.29741016,0.18867527,0.10988611,0.07409554,0.08033798,0.1181483,0.17389224,0.23253267,0.2799407,0.3048606,0.30500734,0.28524974,0.25516647,0.2220851,0.19222414,0.1724043,0.16594146,0.16891487,0.1670065,0.15193093,0.127176,0.11058002,0.11432239,0.13982902,0.17714654,0.21963196,0.2622777,0.3001111,0.32041898,0.31482545,0.28376096,0.2400807,0.19661534,0.16270483,0.14395998,0.14161362,0.15062799,0.15793395,0.15619849,0.14821689,0.14634766,0.1557654,0.17206283,0.18461673,0.18743055,0.17929421,0.16263637,0.14260744,0.12895349,0.13228028,0.15439618,0.18367398,0.20091544,0.19584517,0.17309791,0.14766635,0.12946011,0.11833021,0.10719571,0.09184643,0.07549246,0.06805403,0.08173234,0.12499976,0.194079,0.2698805,0.32303664,0.33321962,0.29999885,0.24336803,0.18629111,0.14452611,0.121236585,0.11241519,0.1104069,0.11033573,0.11221948,0.11931443,0.13139476,0.14177984,0.142437,0.13296337,0.12484624,0.13362667,0.16473164,0.20504802,0.2306187,0.22628342,0.1979125,0.16747518,0.15485428,0.16578497,0.19215359,0.21919386,0.23349838,0.22674769,0.20090513,0.16495113,0.13039555,0.10332819,0.08773437,0.08950982,0.117643744,0.17205997,0.23680763,0.28366014,0.29344776,0.2658843,0.21834703,0.17106824,0.14391516,0.15859245,0.23394643,0.37178397,0.5397374,0.68289304,0.7484049,0.7198008,0.620174,0.49790394,0.3943988,0.32850242,0.2950902,0.28051093,0.27559868,0.28312802,0.31465924,0.38018894,0.4749008,0.5739594,0.64200664,0.6532299,0.60621756,0.52319497,0.43523595,0.36660352,0.32707655,0.31358716,0.31727538,0.33017424,0.34941342,0.37302414,0.39599836,0.40782824,0.4011354,0.37637568,0.3434557,0.31304637,0.29286632,0.28470266,0.28738025,0.29509392,0.29938266,0.2903171,0.26365164,0.22328658,0.18051149,0.14752832,0.13285285,0.14001231,0.16587563,0.2006479,0.22875392,0.23873848,0.22968687,0.21232857,0.19880728,0.1958214,0.20305617,0.21613033,0.22676055,0.22411232,0.20019968,0.15878667,0.114941604,0.08760896,0.087349035,0.11570539,0.1679043,0.23727112,0.3099643,0.36461043,0.37973896,0.3505712,0.29304188,0.23369224,0.1919338,0.17422558,0.177653,0.19390021,0.21281253,0.22379614,0.22438838,0.21750867,0.2103223,0.20477216,0.20081292,0.19614434,0.1903754,0.1828629,0.17477994,0.16923495,0.17248112,0.18667533,0.20710336,0.22046502,0.2180457,0.19987063,0.17677581,0.15805495,0.14864562,0.1476358,0.15339138,0.16316684,0.17406613,0.18534827,0.20144856,0.2301491,0.2717265,0.3135881,0.33367813,0.32023647,0.279439,0.23233889,0.19568567,0.1749696,0.16547841,0.1614962,0.15985538,0.16024153,0.16357042,0.17022145,0.17912571,0.18760656,0.1948747,0.2036307,0.22067982,0.24813318,0.27986184,0.2996262,0.29529336,0.26537517,0.22267795,0.18279676,0.15767245,0.15127788,0.15983309,0.17286867,0.17687725,0.1653319,0.14441858,0.12951459,0.1322153,0.1522659,0.18207307,0.21706498,0.25821063,0.30401114,0.34288582,0.3590426,0.34532288,0.3101711,0.27046552,0.24158378,0.23475055,0.26135755,0.33049142,0.44023156,0.5679714,0.67958707,0.74505115,0.7568889,0.7277686,0.68212223,0.6404399,0.61399126,0.6029884,0.6021762,0.60607696,0.6122983,0.6204627,0.62827724,0.6295414,0.61656404,0.5877901,0.5529447,0.5288732,0.52703017,0.54485023,0.570077,0.59199613,0.6081586,0.62051797,0.6296608,0.6324003,0.62572867,0.61071515,0.5942412,0.58519506,0.58925825,0.60491174,0.62564427,0.64315677,0.6490993,0.63218087,0.57960665,0.4853725,0.3605353,0.2324766,0.12976222,0.06623384,0.03876372,0.038428698,0.06179595,0.10597213,0.16099782,0.2042108,0.21707316,0.19516881,0.15398197,0.113639295,0.09017083,0.090163164,0.10988664,0.13659053,0.15059108,0.1407335,0.10930163,0.072324805,0.04318112,0.029787851,0.035668954,0.0689418,0.13219596,0.21400593,0.28258952,0.30914974,0.2847089,0.22890158,0.16975282,0.12874486,0.11316774,0.119171,0.13495988,0.14371412,0.13400409,0.106278636,0.07271333,0.045801442,0.030940713,0.027051775,0.03286097,0.050668653,0.08388949,0.13200974,0.18743682,0.23790246,0.27355602,0.2919788,0.2982025,0.29890585,0.29827574,0.29688433,0.2940564,0.2895703,0.28368327,0.27586153,0.26364133,0.2437808,0.2150228,0.18169324,0.1537657,0.14327656,0.15625368,0.1884482,0.22566502,0.25281197,0.2600865,0.2468704,0.2177407,0.1802883,0.14288312,0.115293466,0.10745052,0.12572001,0.16817826,0.2223428,0.2699033,0.29496658,0.29061237,0.25983635,0.21273082,0.16300029,0.123602994,0.10276884,0.10255512,0.1210477,0.15406072,0.19463076,0.23189352,0.2556189,0.26109302,0.2519437,0.23510365,0.21658142,0.19864686,0.18146044,0.16449945,0.14809094,0.13361098,0.12243623,0.115199596,0.11201548,0.1146571,0.12437791,0.1390738,0.14990085,0.14837475,0.13351788,0.11654368,0.11172485,0.12620334,0.1539761,0.18286987,0.20436104,0.2200297,0.23691459,0.25988403,0.28591585,0.30753517,0.31826237,0.31728446,0.3083322,0.29669818,0.28622368,0.27796867,0.271475,0.2657522,0.26158556,0.2602496,0.2631816,0.26909173,0.27504417,0.27726266,0.2737329,0.264291,0.24968038,0.23145615,0.21244806,0.19845109,0.1954159,0.20637567,0.22777207,0.25262114,0.27417755,0.2896695,0.2985203,0.3008242,0.29668584,0.28789598,0.27812615,0.27007937,0.2623266,0.24940567,0.22731613,0.19836636,0.17161493,0.15743083,0.16276503,0.18735081,0.22446315,0.26183337,0.28793725,0.29536006,0.2840459,0.2586188,0.22708334,0.19842513,0.18029438,0.17705931,0.18847747,0.2116421,0.24122924,0.27173093,0.29824138,0.31873295,0.33289978,0.34091243,0.34220216,0.33703598,0.3275539,0.3173181,0.30899695,0.30281556,0.29692355,0.28871772,0.27641162,0.25944367,0.23938565,0.21894336,0.2011358,0.18693073,0.17598969,0.16723102,0.16037582,0.15512113,0.15117298,0.148771,0.14924087,0.15385753,0.16126783,0.16714013,0.16671598,0.15872192,0.14615135,0.1334353,0.12319213,0.11530743,0.10886276,0.103512354,0.09993679,0.09887909,0.10066772,0.104753666,0.109642856,0.11330662,0.11417577,0.11204869,0.107875526,0.10267078,0.096946664,0.09123569,0.08723808,0.087296814,0.093956776,0.108795054,0.13415904,0.16994734,0.21275307,0.25193,0.27735662,0.28278506,0.2721378,0.2540315,0.24021697,0.23906648,0.2534976,0.2780203,0.3028978,0.31857145,0.31894246,0.30094647,0.26615414,0.22298044,0.18562849,0.16715814,0.17271024,0.19701487,0.2287435,0.255645,0.2712988,0.27637303,0.27726486,0.2793649,0.28351215,0.28658378,0.28568986,0.28112262,0.27405572,0.2634933,0.24522555,0.2173136,0.18477733,0.15941966,0.1519522,0.16540273,0.1936084,0.2262154,0.25360462,0.2703328,0.27567938,0.27194914,0.2618045,0.24673618,0.2287261,0.21221161,0.20322388,0.20588724,0.21841139,0.23399793,0.2444027,0.2463327,0.24220683,0.23787732,0.23686159,0.23922569,0.24274354,0.24526258,0.24533047,0.24224281,0.2368217,0.23111218,0.22741199,0.22658086,0.22810759,0.23086555,0.2342516,0.23801227,0.24187459,0.24480134,0.24559279,0.243894,0.24111946,0.23994279,0.24228893,0.24835044,0.2561464,0.2631608,0.26651135,0.26402047,0.25471354,0.24012722,0.2242307,0.21126245,0.20427829,0.2043752,0.21295904,0.23049432,0.2551961,0.27970493,0.2946022,0.29208776,0.27161694,0.2385333,0.20292842,0.17485447,0.16292904,0.16957445,0.19054882,0.21457474,0.23110376,0.23513871,0.23069106,0.22501528,0.2239738,0.22824453,0.23488271,0.23918734,0.23715729,0.22718585,0.21146931,0.19582365,0.18736596,0.19008096,0.20175727,0.21430878,0.21902633,0.21181507,0.19544804,0.17702414,0.16384171,0.16082002,0.168509,0.18333451,0.19745843,0.20322157,0.19590174,0.17696524,0.15195917,0.12865628,0.11414974,0.11299322,0.12571505,0.1477639,0.17139684,0.18871498,0.19519043,0.19029367,0.17652284,0.15814777,0.14124931,0.1323957,0.13686518,0.15456651,0.18003221,0.20371187,0.21834071,0.2218573,0.21826096,0.21329987,0.21083635,0.2111764,0.21191466,0.21070868,0.20680745,0.20186363,0.19795434,0.19636887,0.19667143,0.19773914,0.19806373,0.19654298,0.19238602,0.18571903,0.17657025,0.16462661,0.14909817,0.13089922,0.11374631,0.10386059,0.10705442,0.12494203,0.15301113,0.1814173,0.20064212,0.20567463,0.1982522,0.18298753,0.16479494,0.14684267,0.13244113,0.12544252,0.12979668,0.14633115,0.17088449,0.19563526,0.21392463,0.22432667,0.2301457,0.2351778,0.2401336,0.24264948,0.24111372,0.2364469,0.2322764,0.2303947,0.2304223,0.22939308,0.22607438,0.22052538,0.2146318,0.21000965,0.20826052,0.21021925,0.21521544,0.22137551,0.22627442,0.229026,0.22984737,0.23025584,0.23156978,0.23524226,0.24173658,0.25025174,0.25806645,0.26160693,0.2587283,0.25037664,0.24083014,0.23439847,0.23250449,0.23179917,0.22711132,0.21590477,0.20187916,0.19354327,0.19779052,0.21410114,0.23335081,0.24477051,0.24277037,0.23026747,0.2140731,0.19991642,0.18946838,0.1821128,0.17680107,0.17322518,0.17127033,0.17166416,0.17529918,0.18266861,0.19150476,0.19843887,0.201104,0.20063399,0.19942105,0.19865157,0.19726336,0.19354117,0.18670134,0.17691445,0.16529457,0.15366517,0.14472327,0.14058484,0.14161468,0.14570482,0.149992,0.15255778,0.153763,0.15506877,0.15782212,0.16221635,0.16882862,0.17987327,0.19902527,0.22712398,0.25877926,0.2827756,0.28872263,0.27319154,0.24168096,0.2053471,0.17609455,0.16324963,0.17033267,0.19421904,0.22535908,0.25297213,0.27022746,0.2772893,0.2783501,0.27667046,0.27237102,0.2640578,0.25207424,0.23831846,0.22455728,0.21023881,0.19377416,0.17422552,0.15311436,0.13465078,0.12543203,0.13280712,0.15955561,0.20030902,0.24106038,0.26787615,0.27273914,0.25703833,0.22731996,0.19314414,0.16385306,0.14631458,0.1425361,0.15095736,0.16821271,0.18993998,0.20842521,0.21525542,0.20554513,0.18315499,0.1577977,0.1398679,0.13563989,0.14660567,0.17016941,0.20011558,0.22910953,0.25131536,0.26473024,0.26921782,0.26580146,0.2560058,0.24389958,0.23390926,0.22945116,0.230088,0.23342402,0.23519413,0.23127925,0.21821259,0.19663565,0.17287774,0.15668106,0.15509205,0.16698377,0.18516558,0.20132224,0.21189822,0.2169979,0.21939199,0.2209581,0.22294308,0.22445208,0.22434038,0.2221077,0.21925241,0.21805751,0.21967177,0.22343369,0.22747453,0.23077272,0.23394553,0.23873417,0.24577947,0.25323847,0.25732374,0.25487795,0.24478479,0.2283526,0.20780851,0.1862594,0.16700542,0.15323932,0.14673637,0.14698051,0.15152834,0.15689199,0.1603297,0.16065484,0.15842722,0.15554042,0.15440466,0.15727875,0.1655439,0.17980467,0.20127672,0.23056372,0.26593605,0.29974988,0.32217982,0.32651103,0.31610858,0.30238923,0.29773054,0.30561015,0.3177334,0.32053974,0.30677548,0.2827802,0.2638805,0.26262105,0.27896842,0.30183604,0.31807414,0.3218018,0.3158779,0.3077824,0.30315256,0.30285308,0.30363005,0.30185032,0.29631367,0.2886609,0.28106034,0.27419162,0.2665876,0.25699908,0.24607243,0.2373935,0.23435514,0.23829894,0.24709463,0.25760198,0.26709795,0.27438644,0.27917567,0.28181824,0.28310275,0.28413767,0.28573003,0.28783,0.28926292,0.28836632,0.28381586,0.27503023,0.2622672,0.2466491,0.23040657,0.21649672,0.20691748,0.20176516,0.19923663,0.19866316,0.20146747,0.2103476,0.22529238,0.2426215,0.25715518,0.2658415,0.2685031,0.26600862,0.25899622,0.24846815,0.2368113,0.22704458,0.22103995,0.21826418,0.21670109,0.21454914,0.21171804,0.20942836,0.20902646,0.2110642,0.21532123,0.22165917,0.2297336,0.23899059,0.24748504,0.2522886,0.24909048,0.23402417,0.20602964,0.17012621,0.1372883,0.12029621,0.12661606,0.15409924,0.191256,0.22413315,0.24310493,0.24765593,0.2438098,0.23921603,0.23802334,0.2403065,0.24406071,0.24811439,0.25244293,0.25656247,0.2571225,0.24883674,0.22882037,0.20122565,0.17699437,0.16642852,0.171865,0.1864777,0.2040027,0.22882025,0.27798232,0.36622393,0.4878844,0.6085654,0.68330497,0.68354255,0.6169255,0.51806986,0.42594957,0.3621011,0.3274993,0.31112587,0.3034296,0.3037139,0.3218694,0.36915314,0.44837245,0.54268605,0.6210666,0.65057105,0.61754197,0.5348808,0.43480363,0.3494394,0.29493615,0.2705373,0.26599503,0.2728356,0.28783572,0.31134024,0.33995804,0.36438176,0.37351784,0.36473033,0.34468067,0.32446143,0.3093481,0.2995355,0.29256094,0.28809628,0.2841375,0.27644315,0.2584873,0.22911756,0.19215359,0.15525736,0.12388819,0.10354205,0.10055249,0.11785241,0.14881192,0.17511754,0.18052487,0.16043891,0.12624508,0.093964405,0.07639558,0.07904632,0.098232985,0.122814775,0.13594347,0.12924387,0.10599201,0.080877066,0.06465808,0.062367406,0.07443987,0.10516993,0.15470093,0.21322012,0.25656345,0.26499858,0.2346522,0.18289308,0.13177972,0.098294295,0.09005936,0.10747292,0.14424236,0.18604435,0.2188697,0.23526524,0.23977399,0.24109705,0.24586105,0.25392267,0.26162803,0.26574638,0.26652804,0.26752222,0.27297783,0.28464568,0.29910913,0.30922553,0.3067889,0.28797224,0.25415337,0.21243608,0.17221029,0.1435566,0.13442187,0.1474305,0.17795815,0.21549763,0.25094327,0.28175008,0.3097004,0.33252576,0.33951676,0.31984702,0.27439228,0.22030072,0.18139417,0.17306668,0.19383042,0.22717881,0.253885,0.26282704,0.2559074,0.24309926,0.23447816,0.23489194,0.24295884,0.25449845,0.2659587,0.27631012,0.2841613,0.28622648,0.2783193,0.26079535,0.23771815,0.21395576,0.19161649,0.17304766,0.16262443,0.16147882,0.16411525,0.15971996,0.14661545,0.13509394,0.14173071,0.1718369,0.21626712,0.25984907,0.29521057,0.32295814,0.34410414,0.35271433,0.3435999,0.3181323,0.28686848,0.2603205,0.24788578,0.26090643,0.31315362,0.40839872,0.5251352,0.6212109,0.6609621,0.6419094,0.5949977,0.5565877,0.5436947,0.54936033,0.5589819,0.56382746,0.56481576,0.56783026,0.5793369,0.6024668,0.63274115,0.6561746,0.65631086,0.6277174,0.5829785,0.54440635,0.5259252,0.5261268,0.5338037,0.54149884,0.5475107,0.55340713,0.558346,0.56040996,0.55860955,0.5545628,0.55152535,0.5520273,0.5566129,0.56380564,0.5711808,0.57491565,0.5680221,0.5406061,0.48590955,0.4077306,0.3226656,0.25035506,0.20246671,0.17725468,0.16712601,0.16667692,0.17564166,0.19248646,0.21056895,0.22079097,0.2201199,0.21341144,0.20809574,0.20727353,0.20953988,0.21278036,0.21439765,0.21181555,0.20290077,0.19146973,0.18374322,0.18413979,0.1899482,0.19855486,0.2134239,0.24446483,0.2949061,0.35261083,0.39293718,0.39776134,0.36704814,0.3174705,0.26745805,0.2287687,0.20645763,0.19972168,0.2030685,0.2051055,0.1990447,0.18480851,0.17073803,0.16179258,0.15786034,0.1528341,0.14239033,0.12687661,0.113794506,0.112878956,0.13034314,0.16166294,0.19420886,0.21389227,0.2156653,0.20425732,0.18947887,0.17797923,0.17107885,0.16710806,0.16446756,0.1621645,0.15890378,0.15523277,0.15627187,0.17198314,0.20733637,0.25413457,0.29002997,0.29605567,0.27002725,0.2285626,0.19034128,0.16336638,0.14427228,0.12736356,0.11178294,0.09971569,0.092762806,0.089072295,0.08552128,0.08047397,0.07744842,0.08568647,0.11684856,0.17418265,0.24535401,0.30428872,0.32926872,0.31648472,0.28177938,0.24550782,0.22104089,0.21156657,0.21421666,0.22208053,0.22611356,0.21934874,0.20248677,0.18272649,0.16785221,0.16090839,0.163768,0.18217371,0.22355603,0.28472877,0.3442951,0.3718276,0.3504653,0.28930375,0.21583702,0.15735663,0.13250373,0.1555592,0.23552907,0.36792073,0.52034974,0.6442485,0.6955913,0.6649875,0.57620645,0.47200692,0.38561526,0.33090985,0.30307233,0.29220352,0.29313365,0.31175116,0.36011803,0.4454457,0.55556047,0.6571195,0.70945007,0.68967026,0.60732347,0.49827516,0.4013251,0.33777368,0.3066988,0.29540348,0.29343024,0.2994074,0.3182821,0.35071877,0.3863624,0.407032,0.4005965,0.37030363,0.332077,0.30186382,0.28750375,0.28760096,0.2963401,0.30400327,0.2996843,0.27355972,0.22492085,0.16323917,0.10449345,0.063094564,0.048685078,0.068146,0.120616704,0.19386935,0.26086655,0.29856232,0.29887512,0.2740009,0.23896538,0.20490368,0.17797995,0.16387223,0.16447717,0.17409383,0.18545856,0.19589245,0.20873947,0.22429077,0.23879892,0.2491499,0.26094756,0.28175703,0.31190512,0.33776155,0.34482613,0.32886878,0.30132043,0.27610472,0.2611991,0.2548497,0.252313,0.24825823,0.24049638,0.22932176,0.21891563,0.21221133,0.2099808,0.20929378,0.20808607,0.20526989,0.20082235,0.19378088,0.18377818,0.17357369,0.17043723,0.18040343,0.2024775,0.22540535,0.23817022,0.23654135,0.22656894,0.21402852,0.20021904,0.1817466,0.15863542,0.13764314,0.13001561,0.14441486,0.18196356,0.2350655,0.28934538,0.32697693,0.33322695,0.30483392,0.25270334,0.19579162,0.14860362,0.115804106,0.09443896,0.08199235,0.07913142,0.08915139,0.112597086,0.1455077,0.17855395,0.20330302,0.21700388,0.2262019,0.24127932,0.26642275,0.29323357,0.30389795,0.28686526,0.24651058,0.2026816,0.17557155,0.17460687,0.19545238,0.22476538,0.24793069,0.25395277,0.24251944,0.22153103,0.20329131,0.19438809,0.19740508,0.21364717,0.24835034,0.30035448,0.3558041,0.38693568,0.3741757,0.31896293,0.24587625,0.18208982,0.1467764,0.15116616,0.2048533,0.31021348,0.44852316,0.57956505,0.6615703,0.6800988,0.65424854,0.61896324,0.5968535,0.59063214,0.590177,0.5884165,0.58416015,0.5822131,0.5887048,0.61074597,0.65073055,0.7016912,0.74534684,0.7626176,0.74573153,0.70447326,0.65741247,0.6202031,0.59853965,0.5906151,0.5911646,0.5942559,0.59391147,0.5871945,0.5762074,0.5680618,0.56854767,0.5778335,0.58989066,0.599142,0.6044114,0.6077952,0.6069719,0.5895553,0.5386333,0.44593015,0.3252601,0.20576656,0.11582631,0.0657681,0.05178562,0.06661057,0.10737229,0.16747539,0.2295835,0.26838288,0.2681044,0.23206164,0.1800534,0.13329147,0.10584458,0.10251383,0.117875375,0.13839789,0.14609331,0.13303818,0.103931494,0.07339594,0.05153648,0.044261966,0.056574736,0.09847277,0.17111565,0.25770637,0.32180914,0.33577165,0.29692245,0.2319072,0.17020287,0.129119,0.10792657,0.09925976,0.09594398,0.09434253,0.09286881,0.09066692,0.08668076,0.08011795,0.07161658,0.06425316,0.06264987,0.07066321,0.08950461,0.11731696,0.15012646,0.1825649,0.20916991,0.22629078,0.23374726,0.23469889,0.23330456,0.2329181,0.23523086,0.24055411,0.24741288,0.25218335,0.2500714,0.23754852,0.21487312,0.18639316,0.15880665,0.13965137,0.13578965,0.15161242,0.18505739,0.22714703,0.26579902,0.29323387,0.30840647,0.314427,0.3138335,0.30798802,0.29951155,0.29333237,0.29453477,0.30377436,0.31698945,0.32689807,0.32702377,0.31209663,0.28081524,0.23710163,0.19187225,0.15739448,0.14245571,0.14735185,0.1669933,0.19284017,0.21774687,0.23671503,0.248891,0.2556531,0.25944948,0.26168963,0.26293346,0.26220706,0.2574161,0.24553044,0.2253502,0.1990517,0.17254788,0.15243776,0.14340355,0.14532965,0.15299146,0.15947862,0.16519348,0.18548457,0.24344794,0.35046247,0.4865972,0.6074385,0.6692229,0.6578899,0.59319806,0.51213104,0.44432354,0.39946672,0.37161994,0.35171735,0.3388239,0.34168804,0.3734518,0.44092155,0.5347257,0.62668175,0.6806333,0.67322016,0.60863376,0.5155863,0.4274055,0.36401388,0.3263291,0.3060665,0.2962974,0.297806,0.31409743,0.34454003,0.37907115,0.40286854,0.40585193,0.3894796,0.36465648,0.3428514,0.33014473,0.3268752,0.33110562,0.33948818,0.34712222,0.34869656,0.342604,0.3323948,0.324128,0.32199737,0.32722667,0.34025982,0.3600373,0.38251707,0.3993945,0.40430757,0.39660192,0.38083974,0.35980487,0.33208585,0.29670906,0.25810644,0.22522295,0.2042572,0.19508685,0.19340146,0.1944316,0.19549085,0.19609527,0.2007115,0.21755642,0.2530558,0.30254486,0.34908906,0.37356582,0.3693166,0.34582567,0.32009757,0.30348992,0.29803798,0.29933116,0.3009043,0.29623562,0.28041723,0.2540617,0.22278161,0.19477832,0.17473364,0.16310906,0.15658672,0.15176515,0.1469305,0.14464551,0.15028358,0.16883318,0.1974119,0.22599383,0.24157052,0.24018912,0.22650684,0.21039563,0.19616401,0.18324961,0.16821052,0.15001208,0.12971419,0.110630296,0.09959179,0.106999256,0.14293803,0.20474601,0.27277648,0.31559575,0.3135968,0.26945043,0.20703089,0.1502368,0.11306619,0.09632131,0.09636971,0.10899965,0.13306065,0.16717954,0.20797265,0.24660186,0.27350152,0.28361538,0.2817887,0.2817174,0.2954889,0.32547846,0.35755357,0.37580013,0.3710973,0.34886107,0.31630528,0.2792156,0.24233155,0.2137624,0.20057248,0.20137489,0.20849381,0.2142353,0.21686761,0.21739201,0.21813811,0.22321753,0.24092412,0.27649152,0.32431242,0.36443532,0.37703466,0.35505357,0.309021,0.2555363,0.21098535,0.19266813,0.22024232,0.30345324,0.42490372,0.5409165,0.60772437,0.61344594,0.58350176,0.5573908,0.55652076,0.57626134,0.59807605,0.6100562,0.61166555,0.60997444,0.6120832,0.6237009,0.6465452,0.6754293,0.69666797,0.69623613,0.67053217,0.6309146,0.5946248,0.572432,0.56413627,0.56372267,0.56617934,0.56869984,0.5693073,0.56637836,0.56090045,0.5562089,0.5554104,0.5575423,0.5589264,0.5568459,0.55315083,0.55160075,0.55243176,0.5473409,0.5227522,0.46914697,0.39169177,0.3093042,0.2432971,0.20323622,0.18581562,0.18363155,0.19597763,0.22421141,0.26465622,0.30254054,0.32518888,0.3291746,0.32225773,0.3112292,0.29714456,0.2792561,0.2578927,0.23785453,0.22151013,0.2130401,0.21240793,0.21825345,0.22299899,0.22292113,0.2220155,0.23485781,0.27023387,0.3218557,0.36473975,0.37742338,0.3535907,0.30807212,0.2594347,0.22218,0.20193964,0.19833787,0.20505558,0.21085602,0.20769472,0.1948297,0.17913836,0.1656744,0.15451576,0.14211674,0.12795678,0.1164585,0.11514604,0.12928578,0.15849234,0.194582,0.22455256,0.23524004,0.22058213,0.18526901,0.14340332,0.11164867,0.10148811,0.114447616,0.14323878,0.17516083,0.19884612,0.20859529,0.20868571,0.21193296,0.23093174,0.26723048,0.30499813,0.3235589,0.31227472,0.28009856,0.2439447,0.21625157,0.19841681,0.18775749,0.18243033,0.18306875,0.1882749,0.19488896,0.19898064,0.19981496,0.19896154,0.20108354,0.21221493,0.23866045,0.27830496,0.3180698,0.33708975,0.32437363,0.28522334,0.2387433,0.20203592,0.18350421,0.18246739,0.19146168,0.20073344,0.2013511,0.1941994,0.18601257,0.18420069,0.1879608,0.19542567,0.21020587,0.24338873,0.29711947,0.35548624,0.38695154,0.371907,0.31603876,0.24892746,0.19900061,0.1826626,0.20663957,0.27570897,0.38845137,0.5228576,0.6369687,0.686929,0.6564651,0.5665192,0.46073985,0.3767432,0.32885695,0.31072092,0.30907094,0.31580576,0.3316052,0.3648583,0.42304674,0.5038046,0.58671266,0.64221483,0.64632756,0.59821194,0.51765394,0.4344398,0.37031496,0.33384654,0.3208989,0.3234333,0.33468887,0.3521115,0.37350115,0.3936914,0.4038742,0.39854288,0.3800752,0.35857964,0.34290707,0.33568808,0.33314332,0.33199224,0.33138123,0.33098304,0.3265665,0.31188858,0.28463435,0.24937117,0.2152703,0.1909678,0.1839547,0.19910395,0.23362811,0.2726202,0.29371282,0.28378963,0.24896288,0.21088864,0.18929125,0.19057518,0.20721978,0.22408503,0.22671372,0.20675243,0.16837138,0.12475137,0.09128639,0.07581043,0.080974996,0.10952524,0.1664316,0.24704736,0.32916105,0.37864745,0.37525642,0.3271453,0.2664384,0.22219193,0.20474416,0.20532735,0.20951122,0.2076606,0.19702429,0.18331635,0.17456996,0.17831159,0.19275822,0.21036826,0.22059143,0.21711944,0.19792978,0.1677442,0.13810687,0.12548937,0.14015836,0.1783998,0.22158557,0.25097755,0.25760347,0.24686962,0.22914915,0.21417885,0.20645095,0.20660327,0.2118795,0.21823986,0.22380476,0.23155355,0.24889402,0.27875248,0.3129311,0.33231828,0.32304844,0.28816476,0.24732625,0.21969403,0.21046402,0.21056877,0.20625906,0.1900664,0.16342025,0.1353116,0.11512766,0.10774529,0.11195621,0.1257021,0.15056084,0.19164951,0.2489183,0.31119275,0.35616207,0.36486366,0.33374676,0.27968907,0.22795083,0.19820726,0.1956741,0.21205485,0.23253493,0.24311517,0.2379056,0.22022392,0.19888712,0.18140604,0.1720553,0.17522486,0.19865842,0.24754322,0.3140463,0.3725394,0.3940781,0.36668888,0.3062082,0.24274625,0.20284386,0.19901069,0.23789372,0.3202713,0.4381225,0.5615403,0.6527002,0.6845712,0.6654683,0.6278526,0.6053999,0.60749364,0.62235254,0.6335134,0.6352565,0.63261825,0.63454366,0.6482115,0.67711836,0.71801394,0.75940615,0.7846644,0.782089,0.7524894,0.7091093,0.6681933,0.6404794,0.62745875,0.6244615,0.62421995,0.6205451,0.6107859,0.59730935,0.5864682,0.58331627,0.58845896,0.5970029,0.6044972,0.6095782,0.6140616,0.61695534,0.6100473,0.58147556,0.52381617,0.44387725,0.35819605,0.284798,0.23295756,0.20605291,0.20470943,0.22895728,0.27108145,0.31474504,0.3389009,0.3336251,0.30538467,0.27353153,0.25337383,0.24794029,0.25088012,0.2545596,0.25566244,0.25186118,0.24314402,0.23039407,0.2175359,0.20745355,0.20293415,0.20758502,0.22837186,0.2680715,0.31857598,0.35761774,0.36502138,0.33562514,0.28565308,0.23733073,0.2066697,0.19692476,0.20296673,0.21519195,0.2228057,0.21879469,0.20352216,0.18427896,0.16906585,0.16147539,0.16007423,0.1613778,0.16271125,0.16314264,0.16398187,0.16807996,0.17836006,0.19279116,0.20383668,0.20060563,0.17991787,0.14906625,0.12448564,0.117848955,0.13021307,0.15088814,0.16814917,0.17581166,0.17656322,0.17863888,0.19255532,0.22521205,0.27228084,0.31580505,0.3329903,0.3139861,0.26885796,0.21979542,0.18348897,0.16421606,0.15689687,0.15527691,0.15501738,0.15372834,0.15036823,0.14523731,0.13952783,0.13367796,0.12903911,0.13023187,0.14838512,0.19036664,0.2504364,0.30383444,0.3279493,0.31552026,0.2825151,0.24876195,0.22795485,0.22250837,0.22837184,0.23761897,0.24003184,0.2311895,0.2136377,0.19636464,0.18456264,0.18068093,0.1866451,0.21039383,0.25558016,0.3142589,0.36143827,0.37537542,0.35004735,0.30205533,0.25339863,0.22275667,0.22049741,0.25090754,0.30644837,0.36655226,0.40579024,0.4120698,0.39244878,0.3654776,0.3441825,0.33080935,0.3208711,0.3110405,0.30225566,0.29753122,0.29993343,0.30970326,0.3237116,0.33571768,0.34009263,0.33601415,0.32795143,0.32162008,0.3192606,0.31905493,0.3181361,0.31515422,0.31081617,0.3078129,0.31044257,0.32400453,0.34946883,0.37949887,0.39845574,0.39417443,0.36811242,0.33622816,0.3149861,0.30977622,0.31445894,0.3200353,0.3213757,0.31453514,0.29650906,0.26433825,0.22259027,0.17942782,0.14468504,0.12354395,0.12076473,0.14275968,0.19034906,0.25102505,0.29584622,0.30167112,0.26430008,0.20429893,0.14708127,0.11143321,0.102853335,0.1149622,0.13307326,0.13905783,0.12561862,0.09811626,0.07172855,0.056488384,0.057814777,0.07946091,0.12914185,0.20561083,0.29039887,0.34813082,0.35315993,0.30495176,0.23015575,0.15961052,0.11436958,0.10097719,0.11405682,0.14126533,0.16648646,0.18249618,0.19080506,0.1990719,0.20877512,0.21668923,0.21881455,0.21602468,0.2120338,0.21044391,0.21319515,0.22097377,0.2322375,0.24221165,0.24347259,0.23059823,0.20410943,0.17038243,0.13717096,0.110248335,0.093736716,0.091832876,0.106598176,0.13501526,0.16876666,0.20127873,0.23223281,0.26432014,0.29402354,0.30836502,0.29569575,0.25792345,0.21432036,0.18694179,0.18649079,0.20516658,0.22684513,0.23783994,0.23505072,0.22294088,0.20915455,0.1989348,0.19387633,0.19291537,0.19687866,0.21076699,0.24022596,0.28206804,0.32091844,0.33645257,0.31912398,0.27540067,0.22301412,0.17868413,0.15339725,0.15003799,0.16162495,0.17397512,0.17309517,0.15953302,0.14507279,0.14387666,0.15665114,0.17763734,0.20333667,0.23951934,0.287467,0.33464852,0.35748413,0.3419683,0.29426634,0.23595871,0.18862562,0.16829984,0.18955904,0.2612257,0.3778061,0.50789016,0.6134627,0.6683934,0.67906165,0.6675655,0.65747625,0.6562074,0.6622646,0.66995454,0.67649245,0.67974734,0.6787396,0.6745402,0.6716829,0.6761076,0.68930584,0.70681673,0.72048587,0.726192,0.72490376,0.7206671,0.7149802,0.707133,0.69641995,0.6843776,0.6729203,0.6619485,0.6500967,0.63738364,0.62714744,0.62323946,0.62719584,0.6365892,0.64760655,0.65698385,0.6618302,0.65570897,0.6275278,0.5674589,0.47778952,0.37699184,0.28932208,0.22951393,0.19637103,0.18254901,0.18583299,0.20843972,0.24664275,0.28390405,0.30223206,0.29478002,0.27136132,0.24586935,0.22748496,0.21792759,0.21552926,0.21587348,0.21268691,0.20270817,0.18951727,0.18054278,0.17949802,0.1849944,0.19693859,0.22167654,0.26538417,0.32267085,0.37270594,0.39241123,0.37330985,0.32681414,0.2741936,0.23248272,0.20990123,0.20613848,0.21475343,0.22493465,0.22692679,0.21889977,0.20575981,0.19484527,0.18845202,0.18533193,0.1817193,0.175364,0.16635184,0.15950456,0.1621887,0.18005067,0.20899267,0.23701441,0.24966376,0.24342908,0.2247413,0.20618112,0.19439028,0.19019203,0.18980642,0.19027607,0.189328,0.18652064,0.18492843,0.19314899,0.2216797,0.2715882,0.32795677,0.36466277,0.36538592,0.33303097,0.28645393,0.24067225,0.20165606,0.16794533,0.13986804,0.118260406,0.10318217,0.09232909,0.084030874,0.07880931,0.079806216,0.09242412,0.121712856,0.16997667,0.2302479,0.28750154,0.32214698,0.32422182,0.29758298,0.25864235,0.22420192,0.20474426,0.20312834,0.21455073,0.22955711,0.23554844,0.22696339,0.20678504,0.18525444,0.16890152,0.15963449,0.1586136,0.17424755,0.21456371,0.27553692,0.33171692,0.35349166,0.32666537,0.26495603,0.19576257,0.14539833,0.13076131,0.15989618,0.22763471,0.31156448,0.37736034,0.39916182,0.37424433,0.3246964,0.27817443,0.25244284,0.24773014,0.2545487,0.26353595,0.27130082,0.28067327,0.29511467,0.31396654,0.33008873,0.33427072,0.3234206,0.3030419,0.28379378,0.27216446,0.26875657,0.26964352,0.27224863,0.27511743,0.2794325,0.28768325,0.30623725,0.33959404,0.38471946,0.4256417,0.44306907,0.42818752,0.39072883,0.35026932,0.32208046,0.31000212,0.30938438,0.31250966,0.3094711,0.290374,0.24911474,0.1905076,0.12814452,0.0778789,0.04992867,0.04916553,0.078191794,0.13343443,0.20142686,0.25855467,0.28679872,0.28169593,0.25281486,0.21303058,0.17467333,0.15078034,0.14876068,0.16693996,0.18986101,0.20500167,0.20687012,0.20143463,0.19268696,0.18470351,0.18230498,0.19730729,0.23608273,0.29149067,0.33822742,0.35427037,0.33385304,0.2928972,0.25084168,0.22020453,0.20397997,0.19914629,0.20060478,0.20037717,0.19547218,0.18708271,0.18066494,0.17767316,0.17647308,0.17435314,0.17065872,0.1656781,0.15926166,0.15251656,0.14981018,0.15760665,0.1774553,0.20184954,0.21708155,0.21494763,0.19777228,0.17581683,0.15637386,0.14027183,0.12434444,0.10846326,0.09793957,0.10116529,0.12506638,0.17237844,0.23823948,0.30861643,0.36054078,0.37418726,0.34442273,0.28605992,0.2218501,0.16875382,0.13116549,0.10578743,0.089573406,0.08363584,0.09244493,0.11757008,0.15433763,0.19104578,0.21781187,0.23217934,0.24192317,0.25638437,0.27779773,0.29712203,0.29997286,0.27882305,0.23904191,0.19725835,0.17072426,0.16923349,0.19092534,0.22270405,0.24735399,0.25101584,0.23348181,0.20507549,0.18090552,0.16885154,0.17117779,0.18803138,0.22390862,0.27798176,0.33716395,0.37371638,0.36689314,0.31627652,0.24474871,0.17950928,0.14149362,0.14398916,0.19247222,0.28075573,0.38421962,0.4745562,0.534396,0.5689511,0.5914848,0.61070454,0.6249253,0.63105184,0.63122416,0.6308004,0.63326687,0.6360376,0.6354465,0.62992275,0.6241887,0.62429386,0.63419324,0.65106183,0.66827065,0.6795042,0.6829665,0.6814677,0.6789875,0.67824465,0.6785224,0.67771226,0.67281014,0.66309565,0.6498792,0.63747936,0.62983817,0.62911797,0.6340903,0.64253944,0.6528401,0.6625704,0.6648993,0.6438434,0.58276415,0.47479466,0.33803013,0.20457174,0.105576575,0.051614583,0.039270487,0.061739963,0.11407205,0.18502899,0.24998061,0.28285727,0.27161154,0.2273785,0.17257826,0.12811443,0.105427004,0.10695531,0.12450833,0.14151126,0.14032735,0.11613763,0.07839566,0.04365043,0.022624725,0.021323904,0.046089787,0.10442063,0.19245963,0.28609464,0.34908488,0.35745063,0.31468484,0.24696152,0.18315232,0.14205492,0.12955447,0.1388881,0.15387654,0.1543359,0.13189428,0.09286779,0.05441551,0.027720282,0.01476398,0.009925134,0.008410367,0.0077935937,0.009515909,0.017597703,0.038472548,0.07232358,0.11009564,0.13274296,0.12836607,0.09873872,0.06079947,0.029695192,0.012088943,0.0047239684,0.0027062686,0.0027385193,0.0040078578,0.009726757,0.029102707,0.077800445,0.16401643,0.27725986,0.3826045,0.44458473,0.44651935,0.40222776,0.3372201,0.27321395,0.21838255,0.17327203,0.13603248,0.10539467,0.08063061,0.06119077,0.046748072,0.036897916,0.033140246,0.040568482,0.069552265,0.12632959,0.20484154,0.2801773,0.32516757,0.32508922,0.2889837,0.23773532,0.19281234,0.16707213,0.1627004,0.17057683,0.17310841,0.15628281,0.11935875,0.07540548,0.039330907,0.020188997,0.023305388,0.058121935,0.13261633,0.24022913,0.34984812,0.42213202,0.43342337,0.39096168,0.32108504,0.24977183,0.19176775,0.15307547,0.13697919]