[0.37203306,0.33490983,0.26246706,0.19068407,0.15798542,0.18034643,0.25237513,0.34858346,0.44162312,0.50970006,0.53652805,0.5127943,0.43723515,0.3327529,0.23576783,0.17956205,0.16710854,0.17925858,0.19941412,0.22844493,0.27070358,0.31033897,0.3168477,0.27501187,0.20528483,0.1521309,0.14830433,0.19602685,0.26825544,0.3307015,0.35799178,0.3433716,0.29651728,0.23625948,0.1834835,0.15624718,0.16366683,0.20139603,0.25090382,0.2960603,0.3315206,0.36367354,0.38744974,0.3877956,0.34991255,0.28789094,0.2318645,0.20847754,0.2145946,0.23319311,0.25115994,0.27107024,0.29509702,0.3125538,0.3064263,0.27327627,0.2384878,0.23612018,0.28570223,0.36609688,0.43928918,0.46864644,0.45203337,0.40283918,0.3432571,0.28045538,0.22443563,0.18755935,0.184574,0.21159,0.24834192,0.27706277,0.2970161,0.3156979,0.33086705,0.33345413,0.32616997,0.32694587,0.3500556,0.38403177,0.40252125,0.38919654,0.35619512,0.32834938,0.32150736,0.33087754,0.33977732,0.33283812,0.30349332,0.25894636,0.2199281,0.21167038,0.24776094,0.31504393,0.3826592,0.41954908,0.41828632,0.3918014,0.36125848,0.33442998,0.3060358,0.2707983,0.24224119,0.2468725,0.30177286,0.39098915,0.47581705,0.5200999,0.5190234,0.49515638,0.47984663,0.48425698,0.49565974,0.49392703,0.47772253,0.46233368,0.46185482,0.46820867,0.46465313,0.43688533,0.39402795,0.35691538,0.35424173,0.3918002,0.45078325,0.49230337,0.48998275,0.44247055,0.37148282,0.30890796,0.28080675,0.29868022,0.34887767,0.40675297,0.44856653,0.46741673,0.46599153,0.45609173,0.44839373,0.45035902,0.45609197,0.45564413,0.44146284,0.41558233,0.3797613,0.33636904,0.29436842,0.27499244,0.29569647,0.350798,0.41093862,0.44611213,0.44743916,0.42367682,0.38570014,0.33642706,0.2792801,0.22728153,0.20018084,0.2113585,0.25292304,0.29905486,0.31812885,0.29453537,0.23661785,0.17302144,0.13763516,0.14915134,0.20625257,0.28358015,0.3545561,0.39462635,0.3999151,0.37379798,0.3337239,0.29520476,0.27379596,0.27093795,0.27683505,0.27671602,0.26478755,0.24943334,0.24077897,0.24138565,0.2429322,0.23928665,0.22948872,0.21703349,0.2028002,0.18543251,0.16245313,0.13234283,0.097420156,0.06607251,0.051335808,0.06386838,0.10043007,0.14562123,0.17910974,0.19961892,0.22088261,0.26518968,0.33189145,0.4039959,0.45172665,0.4648179,0.4500674,0.43268824,0.42943588,0.4415368,0.4531305,0.44550824,0.41074386,0.35119858,0.28109547,0.2169645,0.17707784,0.1672927,0.17982483,0.19582693,0.20648058,0.21784519,0.24529223,0.29220262,0.3468256,0.38919294,0.40383744,0.3864762,0.34279823,0.28966293,0.24623062,0.22932126,0.24199116,0.27536318,0.3094572,0.3267049,0.3179255,0.29104567,0.26225045,0.24957149,0.2593564,0.28727698,0.32067987,0.34882307,0.3671383,0.37647295,0.37837148,0.37099478,0.35504246,0.33723345,0.33096263,0.34320137,0.36946705,0.39620695,0.4113413,0.40855893,0.38771054,0.35943833,0.34181544,0.35067162,0.3811983,0.4134207,0.4275237,0.42167708,0.40542567,0.38735974,0.36707118,0.34168056,0.31539702,0.29762006,0.2953981,0.3030146,0.3136908,0.3251786,0.34586418,0.37602198,0.40584138,0.41872987,0.40760675,0.37835333,0.3430804,0.31567773,0.301471,0.30000308,0.29869804,0.29149023,0.2794354,0.27515236,0.28138492,0.2923388,0.29865548,0.30007696,0.2981127,0.29029402,0.2722161,0.24844931,0.22988279,0.22377849,0.22465777,0.2231022,0.21418756,0.20536137,0.20580858,0.22099203,0.24171484,0.25556085,0.25089136,0.23012118,0.20105994,0.1764152,0.16267568,0.1614732,0.16499582,0.16293512,0.14958473,0.13361543,0.13745773,0.17924261,0.25575408,0.33144692,0.36863306,0.35202488,0.31080958,0.28366292,0.2913908,0.31482944,0.32444993,0.30631518,0.27470735,0.25526467,0.2608757,0.2874764,0.3155607,0.33125567,0.32683754,0.30800486,0.28029352,0.25020632,0.22345722,0.21096957,0.22828348,0.27953282,0.35057655,0.40513316,0.41572466,0.3787891,0.32456276,0.28837502,0.28880286,0.3157339,0.3455254,0.36091116,0.35805967,0.34072748,0.31033278,0.26605752,0.21135457,0.15660428,0.117508315,0.10248249,0.10931722,0.12540704,0.14569645,0.17484684,0.22196376,0.2798717,0.33009347,0.35450852,0.35394073,0.33918366,0.3218899,0.30488005,0.28844073,0.27325082,0.26085293,0.24962507,0.23321348,0.20545948,0.16891271,0.13958247,0.13844536,0.17313506,0.22830828,0.27329597,0.2873354,0.27126116,0.2476607,0.23936999,0.26057592,0.303563,0.34753656,0.36418113,0.34506485,0.30294412,0.26732054,0.25111544,0.24923491,0.24246794,0.22439541,0.1983142,0.174616,0.15438555,0.13475652,0.11286363,0.09698492,0.10103466,0.13259073,0.17958832,0.21578957,0.2229494,0.20792817,0.19482909,0.19764711,0.20727588,0.20549785,0.19168353,0.18120576,0.18773003,0.20276107,0.2109579,0.20255208,0.18380885,0.16259088,0.1469583,0.14183258,0.15174316,0.1737712,0.19872947,0.21591061,0.22449271,0.23405842,0.258275,0.29690027,0.33214912,0.33906546,0.31295487,0.2751797,0.2564523,0.2669395,0.28979656,0.29940036,0.28317478,0.2494484,0.215674,0.19636245,0.19484216,0.20395114,0.21222474,0.20733596,0.18650262,0.15722959,0.14246948,0.16166496,0.21974611,0.29337952,0.35173166,0.37113175,0.35310337,0.3102939,0.26179165,0.22135818,0.20431049,0.21913679,0.2637741,0.3170075,0.34892023,0.33832857,0.2893137,0.23063873,0.19524658,0.20257024,0.24553086,0.30243644,0.3463234,0.36753485,0.37546805,0.39331067,0.43134186,0.47714844,0.50390285,0.49687883,0.4619598,0.41953078,0.38530397,0.3663127,0.3608342,0.36506155,0.3724403,0.37270653,0.35477605,0.31601954,0.2732861,0.2554181,0.2853165,0.35646117,0.44007778,0.5003142,0.5211236,0.5047242,0.46785608,0.42462876,0.38281313,0.3437585,0.3106993,0.29400027,0.30291167,0.33653298,0.37589166,0.40339956,0.41215816,0.41783693,0.43263754,0.4590504,0.47914708,0.47768715,0.44874227,0.40142012,0.3481852,0.2971622,0.24878748,0.19907553,0.14626981,0.09524572,0.05828266,0.05177042,0.09204671,0.18267983,0.3066015,0.4237441,0.4967636,0.51020026,0.47914198,0.42699113,0.36993656,0.31229064,0.25580558,0.20399626,0.16219854,0.13815193,0.14366494,0.1874932,0.26374424,0.34575018,0.40044203,0.41155455,0.39024964,0.364365,0.35236812,0.3542718,0.3559812,0.34703636,0.3229839,0.2853979,0.2392512,0.19826984,0.18123193,0.20030008,0.24742778,0.2958229,0.31623304,0.2978945,0.25700018,0.22643827,0.23060437,0.266824,0.30636063,0.3176955,0.28880873,0.23555915,0.19184667,0.1913156,0.24801902,0.34470594,0.44063354,0.4953855,0.49360943,0.44947162,0.39482835,0.35831764,0.3531158,0.3686289,0.38172123,0.3704933,0.33301854,0.2825339,0.23843558,0.21244718,0.20719391,0.21603191,0.2257993,0.22609137,0.2165076,0.20957546,0.21605031,0.23473918,0.25026557,0.24578325,0.21496105,0.16432641,0.1097953,0.067911364,0.053716775,0.078913204,0.14727937,0.24902944,0.35381415,0.42637303,0.43978846,0.39524698,0.3146075,0.234065,0.18588811,0.1865163,0.22688694,0.2752663,0.2984419,0.28372347,0.25191996,0.239496,0.26800528,0.32330975,0.3691561,0.37953803,0.35904515,0.3309621,0.31571317,0.31499335,0.31999102,0.3196312,0.31027523,0.29052567,0.26006016,0.22126697,0.18861276,0.18437923,0.21879764,0.27423465,0.3131766,0.31300566,0.27904397,0.23626299,0.19676404,0.15981534,0.12290421,0.099170096,0.10454675,0.14076646,0.1905422,0.23418306,0.2656868,0.28817523,0.30114248,0.29524037,0.26537773,0.21887521,0.17349304,0.14639492,0.14771767,0.17971207,0.23550598,0.30378866,0.36950192,0.42012396,0.44587255,0.44547796,0.42735723,0.40435585,0.38484037,0.36542892,0.33932865,0.30761155,0.2833698,0.28170094,0.30313468,0.3365666,0.36516055,0.3831297,0.38627872,0.37570083,0.34900412,0.31534395,0.2883825,0.2843597,0.30430996,0.33280948,0.34662297,0.32916057,0.28275377,0.22552226,0.18629158,0.1900739,0.24326319,0.32806548,0.40771028,0.4528276,0.4525701,0.4205701,0.37741575,0.34134462,0.31877008,0.30652127,0.29527113,0.27916405,0.25929818,0.2453144,0.24357264,0.25329375,0.26273057,0.26014516,0.24196906,0.22156744,0.2240626,0.26899567,0.35016716,0.43574,0.4914318,0.5051581,0.48841974,0.4576851,0.42317596,0.38867244,0.359157,0.33626363,0.3161056,0.29049152,0.25601882,0.2195472,0.19520009,0.1934502,0.2121557,0.23518448,0.24649471,0.23940252,0.22361179,0.2119288,0.21317393,0.22129881,0.22542304,0.21795307,0.20746984,0.21101284,0.2398551,0.284331,0.3179427,0.316933,0.27972263,0.23091519,0.20552917,0.22548006,0.28603727,0.35827258,0.4121008,0.4306053,0.41925368,0.38891292,0.34985998,0.30253533,0.24866158,0.1948511,0.15471505,0.1420279,0.1612329,0.20984297,0.27424565,0.33867958,0.38092914,0.38988295,0.36503276,0.3227944,0.27841797,0.24056952,0.20527887,0.16615982,0.1215279,0.07846594,0.046237115,0.03128736,0.034423042,0.05611841,0.09048027,0.12815155,0.15499483,0.17308718,0.19395243,0.23338157,0.28735888,0.34058455,0.37468162,0.37876227,0.35224834,0.30371124,0.2575975,0.23425108,0.24040888,0.25485173,0.2562134,0.23552011,0.20768695,0.1865,0.17629541,0.16801967,0.15706556,0.14535916,0.1377678,0.13091946,0.117651485,0.09595474,0.07693713,0.07723692,0.10614688,0.15799753,0.21497612,0.25782284,0.2716588,0.2528554,0.21168692,0.17428161,0.16936697,0.21231933,0.28976056,0.37022054,0.4200578,0.42758533,0.40059173,0.35913906,0.31890395,0.28905955,0.27398345,0.27567875,0.29506174,0.32882094,0.3693175,0.4056208,0.42776856,0.4331782,0.42316517,0.4041891,0.37963673,0.3532968,0.3222731,0.28248098,0.23120685,0.17632763,0.13593636,0.12810396,0.15765037,0.2090636,0.25634277,0.27929404,0.2737542,0.24951881,0.22111233,0.20162123,0.20210297,0.2270052,0.2749991,0.33236158,0.3833774,0.41271064,0.41782495,0.40514877,0.384693,0.36274362,0.33977804,0.3215315,0.3150327,0.3270318,0.3458686,0.35341212,0.33223593,0.2852719,0.22374992,0.16247892,0.10865444,0.06938524,0.049456354,0.049293295,0.06124091,0.073958196,0.08242843,0.086813055,0.08941612,0.0875513,0.08308648,0.08681408,0.114084125,0.16695492,0.22532733,0.26299158,0.27049875,0.2671965,0.2794253,0.3166015,0.35968265,0.3841034,0.3794701,0.35940742,0.33938256,0.3253461,0.30759814,0.2826639,0.25853184,0.2524273,0.2678989,0.29063284,0.3002602,0.29169795,0.27697363,0.26725024,0.260085,0.24539225,0.22421104,0.20720722,0.20156927,0.19707012,0.17960824,0.14543517,0.109545074,0.08975169,0.095565796,0.12102679,0.15427159,0.18254794,0.19810413,0.19525494,0.17305547,0.13504323,0.09140432,0.05324621,0.030774811,0.032565232,0.06906546,0.14685898,0.25777733,0.3753083,0.46573868,0.51005954,0.50916064,0.47769526,0.4274687,0.36503386,0.2950748,0.22597955,0.171736,0.14519684,0.15567164,0.19993456,0.26442143,0.324128,0.35476205,0.34269953,0.29476574,0.23372991,0.18248864,0.14969073,0.12706645,0.10349827,0.077939965,0.063608184,0.076841824,0.1235229,0.1896044,0.24877758,0.28122965,0.28851426,0.28791475,0.28963283,0.28971562,0.27580178,0.24848093,0.21679391,0.19916022,0.20876789,0.2569505,0.33581236,0.42308316,0.483399,0.4969208,0.46277118,0.401727,0.33305192,0.26930872,0.21065833,0.15929498,0.12341768,0.11986634,0.15564549,0.22173698,0.2893591,0.33440688,0.34295496,0.32088295,0.2796485,0.24065322,0.2218504,0.23127902,0.25182986,0.25730136,0.23166569,0.18730837,0.1459735,0.12098267,0.103818186,0.083603986,0.05655394,0.032388803,0.020863803,0.030268768,0.0647403,0.12508555,0.20179205,0.27388543,0.3167826,0.3155378,0.27377966,0.21087714,0.15420051,0.12740134,0.1423399,0.19299053,0.25692618,0.307037,0.3243954,0.31135955,0.28354123,0.25998455,0.24427815,0.22857018,0.20150268,0.1654818,0.13711855,0.13643499,0.16851838,0.21757555,0.26104507,0.2892475,0.30809382,0.32052863,0.31434157,0.2735996,0.20238334,0.12754975,0.080686994,0.07508704,0.10490912,0.15232277,0.2039933,0.2509652,0.2942927,0.33109292,0.35720745,0.35908917,0.3303773,0.27355328,0.20839615,0.15937376,0.1452225,0.16410674,0.19408204,0.20867546,0.20061396,0.19014122,0.20495956,0.25144693,0.30399618,0.33062395,0.318609,0.28464565,0.24884559,0.21988584,0.18881674,0.15026551,0.11009904,0.0878096,0.10059261,0.14940156,0.21347201,0.2587838,0.26144734,0.21958919,0.15563582,0.09698982,0.06305549,0.05466071,0.05994002,0.06325299,0.058193967,0.050617263,0.054444447,0.07937255,0.12361517,0.17352009,0.21489233,0.24399126,0.26816893,0.2937909,0.31391492,0.31366578,0.28399268,0.23233525,0.17597575,0.13095258,0.10528022,0.09803607,0.10263764,0.10805426,0.10482809,0.08863559,0.06344091,0.037533168,0.018464748,0.009271377,0.010943453,0.02861245,0.07544514,0.16504753,0.29445824,0.43293652,0.5326336,0.55681497,0.5024233,0.39931524,0.29047033,0.20753288,0.15877746,0.1314101,0.108083814,0.08040529,0.052981928,0.036729146,0.043904345,0.082406364,0.15133488,0.2321189,0.29952148,0.33487964,0.34647974,0.35396937,0.37339786,0.39571378,0.40126547,0.3738341,0.31723094,0.2491893,0.18887441,0.1461493,0.12121714,0.1157246,0.13714966,0.19270788,0.27212083,0.34532645,0.38037887,0.36962214,0.3357495,0.31017464,0.3111211,0.3310838,0.35441253,0.3645045,0.36255205,0.35416874,0.3486037,0.3390346,0.31475952,0.26858383,0.2109719,0.15905331,0.12613629,0.11658821,0.13342516,0.17555535,0.23310481,0.28416112,0.3133472,0.31923026,0.31216583,0.29717943,0.27436596,0.24566792,0.2190901,0.2016301,0.19167255,0.18423867,0.17721665,0.17862707,0.19507416,0.22614487,0.25707865,0.27398852,0.27020875,0.2514347,0.2241006,0.19364786,0.16499864,0.15029107,0.16172679,0.20328815,0.25915983,0.30539998,0.32313356,0.31223783,0.28372592,0.24922848,0.2166267,0.19093932,0.17758124,0.17438449,0.17284288,0.16129376,0.13783237,0.11184281,0.097691305,0.10183889,0.116838194,0.127809,0.12543869,0.11586537,0.11439826,0.1325943,0.16522737,0.19518618,0.2035187,0.18542624,0.1523454,0.13128918,0.14843719,0.2173572,0.3257158,0.44513044,0.5416324,0.5908515,0.57912284,0.50963354,0.40562138,0.305005,0.2417738,0.22683834,0.24701409,0.27659664,0.29205152,0.2807226,0.24335515,0.19280195,0.14570504,0.11852174,0.11937541,0.15188892,0.20616084,0.26984218,0.32148203,0.35414615,0.36781517,0.3817539,0.40271088,0.42550102,0.42610094,0.3956211,0.34686163,0.3087338,0.29636002,0.30038428,0.29798234,0.27379122,0.23033005,0.18187852,0.14427201,0.1263369,0.12787929,0.1401818,0.15233324,0.15520486,0.14510332,0.12199297,0.09066659,0.05899362,0.036310446,0.029947802,0.045281094,0.085380524,0.14862259,0.22729678,0.30831096,0.3785864,0.4243374,0.43595457,0.4098431,0.35594115,0.29096472,0.2340243,0.19875427,0.19372642,0.21470053,0.24550943,0.26481208,0.2662865,0.26078296,0.26677525,0.288385,0.31444564,0.3262209,0.31667128,0.2920051,0.27009293,0.26483265,0.28311178,0.31755742,0.35382655,0.37238303,0.36075184,0.3164614,0.25041738,0.18125463,0.13106282,0.11839966,0.14830722,0.20549381,0.25737318,0.276147,0.2558337,0.21455868,0.17379767,0.14592858,0.13327502,0.13458987,0.14518522,0.15500589,0.15959613,0.16332382,0.17917281,0.20758927,0.23857255,0.25598553,0.25754276,0.2507911,0.24419017,0.23711337,0.22059198,0.19123952,0.15107366,0.11009144,0.0749416,0.05254961,0.045266554,0.050947756,0.060156256,0.062110018,0.052830774,0.038523503,0.031075576,0.041825857,0.074081756,0.12298695,0.17255348,0.20856555,0.22622444,0.23964413,0.2641115,0.30057743,0.3308514,0.33867514,0.32545444,0.30329588,0.27879465,0.24931075,0.21830873,0.19620226,0.19274537,0.20370747,0.22400661,0.25427765,0.30175194,0.36139956,0.41065302,0.41989365,0.3745515,0.29013276,0.20333676,0.14879556,0.13431524,0.14152665,0.14642923,0.14397109,0.14933105,0.17737783,0.2232241,0.2632527,0.27785763,0.26525697,0.23977865,0.21575736,0.19950302,0.19396941,0.19920059,0.2155438,0.2329139,0.24036711,0.22616132,0.1915235,0.14746484,0.11575106,0.11736675,0.1579147,0.21938692,0.26643232,0.2747809,0.24519832,0.20251875,0.16844048,0.15255795,0.14988206,0.15665412,0.16774333,0.18016386,0.1854508,0.17827827,0.15588738,0.1259798,0.10242651,0.10119217,0.12796107,0.17401242,0.21943821,0.2459407,0.24558721,0.22537577,0.20342736,0.19867583,0.21797232,0.24795635,0.26721296,0.26115596,0.23380756,0.19657259,0.15931982,0.12566893,0.101277344,0.09550819,0.11432579,0.15261598,0.19483973,0.23070765,0.25882745,0.2865653,0.3143777,0.34072527,0.36016902,0.37145042,0.37114492,0.35780576,0.3321315,0.29760215,0.26084176,0.22858185,0.20887434,0.20213525,0.2016745,0.19495678,0.17392637,0.1390088,0.097644545,0.061460644,0.040554058,0.04264358,0.06434672,0.09381478,0.11424771,0.12273749,0.1306926,0.15389864,0.19103199,0.22265768,0.23017472,0.21406901,0.19609489,0.1992041,0.23224539,0.2838254,0.33266962,0.35877857,0.35524085,0.32729182,0.2888204,0.24888365,0.21302845,0.18138836,0.15701482,0.13996838,0.12932886,0.120621264,0.111003876,0.0983578,0.08239245,0.06470985,0.05060557,0.048616517,0.065615155,0.10279458,0.15157233,0.19874161,0.22890396,0.23361205,0.21153408,0.17217922,0.12768921,0.0887262,0.058869213,0.038127042,0.026594913,0.02780033,0.050063666,0.10182031,0.18433805,0.28252316,0.37077716,0.4253055,0.44038045,0.4260998,0.402179,0.38390005,0.3795404,0.38458347,0.3857551,0.36679375,0.3222489,0.2652044,0.21923947,0.2016923,0.20851612,0.22336827,0.2322327,0.23535882,0.23744464,0.2388405,0.23336822,0.21782322,0.19566934,0.17418621,0.15745862,0.14489223,0.1318885,0.114506476,0.09108716,0.064870395,0.04247704,0.032486584,0.042389262,0.072685234,0.11553051,0.15726398,0.18954895,0.21082537,0.222422,0.2226912,0.2114029,0.19407345,0.18036968,0.17664136,0.18405734,0.19879137,0.21566103,0.22814727,0.23144458,0.22157766,0.19664605,0.159276,0.12168151,0.10522986,0.1279197,0.19188361,0.27551562,0.3499283,0.39000157,0.39159942,0.3618815,0.322686,0.29188547,0.27924454,0.27234954,0.25438341,0.22125815,0.19196318,0.1907471,0.22509074,0.2818065,0.33689654,0.37091425,0.37329373,0.34780538,0.30985722,0.27887437,0.265004,0.2646517,0.26725522,0.26289055,0.24694838,0.2198406,0.18931097,0.16448854,0.15140349,0.14760803,0.15173684,0.16313224,0.18075399,0.19268294,0.18556982,0.15378684,0.108261265,0.067422554,0.04823263,0.05832338,0.093983084,0.14079827,0.17988028,0.19848992,0.19660194,0.18381566,0.16936807,0.15606613,0.14213805,0.12839301,0.11949798,0.12090983,0.13038914,0.13890396,0.13475402,0.114503294,0.084929734,0.062045693,0.062209915,0.095601834,0.1572693,0.23188035,0.30124855,0.361333,0.4132677,0.4557853,0.4697834,0.4383897,0.3613799,0.26905596,0.20044357,0.17833555,0.19063233,0.20264906,0.18572493,0.13818683,0.08213452,0.042160396,0.031040147,0.047729615,0.08731482,0.14289953,0.20709608,0.2652092,0.30197272,0.30556187,0.28048316,0.24390693,0.22116935,0.22819638,0.26206124,0.29903606,0.3095034,0.27984485,0.21915354,0.15297955,0.1043657,0.08861795,0.110801436,0.16341835,0.22593331,0.26919514,0.27866557,0.25912595,0.23460792,0.22363253,0.23331495,0.2525455,0.2645271,0.25547054,0.22920193,0.20202611,0.19000833,0.19159247,0.19358368,0.18355459,0.16205567,0.13795723,0.12049878,0.11268624,0.10999704,0.10463425,0.090685785,0.070898436,0.05578142,0.06045541,0.09334269,0.15185314,0.22040486,0.28402054,0.33149916,0.3583078,0.35782108,0.33120143,0.29420003,0.27440694,0.28980696,0.32779083,0.3583794,0.35456204,0.32078525,0.2787438,0.2520227,0.24086303,0.23018558,0.20633179,0.17465179,0.15361468,0.15489209,0.17057584,0.18244965,0.17754768,0.15727721,0.12808095,0.098394185,0.07627923,0.075687446,0.106244884,0.16820578,0.24213953,0.30374166,0.32874522,0.3133912,0.2679015,0.21968614,0.18942581,0.18283165,0.18364471,0.17432517,0.15634675,0.15310562,0.1881889,0.257521,0.32900825,0.36583194,0.355675,0.31086174,0.2555208,0.2073632,0.18053187,0.18141086,0.20854636,0.2471453,0.28049248,0.29837155,0.29978505,0.28674498,0.26285684,0.2371229,0.22086431,0.21897782,0.22283006,0.21925603,0.20207983,0.17669912,0.1536597,0.14055516,0.13928641,0.14420722,0.14590852,0.13563034,0.111876786,0.08016995,0.049191605,0.025557451,0.011787243,0.008734892,0.019274687,0.05203758,0.113209836,0.19938596,0.28803107,0.35233304,0.37155727,0.34773365,0.29645997,0.24013644,0.19208235,0.15431298,0.12199492,0.093965165,0.07953134,0.09007045,0.13099986,0.19345422,0.26066402,0.3124675,0.3374507,0.33550704,0.31837606,0.29356346,0.26198938,0.21946202,0.17565091,0.14723432,0.1469633,0.16564988,0.18381725,0.18825741,0.18124197,0.16947304,0.15350763,0.13180485,0.111048736,0.10508715,0.12215928,0.15525435,0.18845767,0.209194,0.21555227,0.21344055,0.20954072,0.20725445,0.20489185,0.19833349,0.18306537,0.15682949,0.1215133,0.08252946,0.047936205,0.023000136,0.009380583,0.0063455626,0.016636377,0.048169333,0.10629535,0.18609619,0.26756194,0.32926682,0.3576955,0.35565653,0.33244327,0.29904023,0.26175871,0.223944,0.18563543,0.14594889,0.10585614,0.07178359,0.055728063,0.072357506,0.12592427,0.2032494,0.27227178,0.3072208,0.30247888,0.27834475,0.25598904,0.24761538,0.25163147,0.26366705,0.27810013,0.2889246,0.29135558,0.28079355,0.2565708,0.22133698,0.18723828,0.167184,0.16659002,0.17451625,0.17560482,0.16192925,0.1394859,0.11677641,0.09839558,0.08423553,0.079476975,0.09374543,0.13637461,0.20337363,0.2767248,0.33027577,0.34726486,0.33043072,0.29902348,0.27294236,0.25926873,0.25208062,0.24330187,0.2303254,0.22095557,0.22523399,0.2528367,0.3008635,0.35604024,0.3943636,0.396539,0.3602614,0.30711326,0.27075505,0.27165258,0.3039306,0.34032044,0.35692108,0.34481025,0.3160642,0.29002297,0.28818777,0.31450126,0.35785702,0.39145553,0.3978871,0.37450323,0.33811808,0.30603918,0.28470078,0.26419997,0.23081954,0.18286179,0.13635793,0.11468399,0.1288592,0.1666841,0.20142247,0.21463336,0.21097092,0.20876639,0.21838999,0.23197336,0.23615576,0.22728951,0.21362919,0.20280159,0.19302092,0.17597955,0.1457593,0.106117256,0.0684366,0.04807292,0.057382125,0.10220239,0.1754439,0.25885454,0.32809365,0.36855224,0.37818524,0.36662033,0.33901787,0.29626372,0.23883884,0.18086755,0.14899321,0.16444825,0.22872813,0.31260204,0.38302663,0.40956604,0.38842854,0.32572642,0.2505723,0.19635735,0.19560765,0.2472262,0.31525597,0.34927046,0.32626435,0.2689201,0.22279257,0.21957433,0.25096095,0.2872544,0.2996713,0.28629372,0.2587088,0.23104702,0.20239367,0.1680425,0.1311935,0.111432426,0.13304178,0.2013876,0.2957515,0.37649307,0.41854557,0.41945875,0.39946306,0.3750646,0.35313714,0.33079562,0.30205163,0.2636381,0.21242599,0.1561864,0.10895113,0.09307343,0.11862052,0.18053956,0.25466934,0.31871447,0.35875878,0.37492824,0.37047687,0.35077548,0.32291856,0.29488525,0.27243575,0.2565721,0.24962474,0.25632823,0.2778091,0.30330744,0.31138536,0.28889194,0.24386938,0.20378685,0.19015999,0.20174928,0.21820128,0.22170593,0.21303415,0.20683682,0.2186533,0.25071657,0.29067174,0.31801388,0.31522143,0.27821812,0.21534228,0.14649983,0.09324951,0.075653255,0.10140544,0.16344497,0.24046747,0.30527136,0.3362497,0.3218843,0.26819733,0.19394267,0.12871619,0.09850699,0.115882844,0.17328613,0.24542654,0.3035839,0.32895955,0.32604095,0.31568873,0.318164,0.3317664,0.3340191,0.3009197,0.2322347,0.1527378,0.09826652,0.091887675,0.13545303,0.2065558,0.27168718,0.30387083,0.30148605,0.28492227,0.2738143,0.26679006,0.24736626,0.20978582,0.17347395,0.16733961,0.2012641,0.25444508,0.2957858,0.30812785,0.29668844,0.2741789,0.25153077,0.2332379,0.21986406,0.20419328,0.18106203,0.15795007,0.1591621,0.20233525,0.27633354,0.3410237,0.35806882,0.32154217,0.26062852,0.21672274,0.2111283,0.23466091,0.25557986,0.24668215,0.20195882,0.14121681,0.0939694,0.08474281,0.12002468,0.18929966,0.26687297,0.32535216,0.34327516,0.3180426,0.2623624,0.20199253,0.15927672,0.14519255,0.15132762,0.15911448,0.1513861,0.12420065,0.08725649,0.05749334,0.050675094,0.073279984,0.11950926,0.1731118,0.21583955,0.23608543,0.23310907,0.21677358,0.20150287,0.19827013,0.20994157,0.23045488,0.2529509,0.2683834,0.27309072,0.2659819,0.25726712,0.2557492,0.26422966,0.26935554,0.25662094,0.22023642,0.17563413,0.14629833,0.1511425,0.18695778,0.23532033,0.27341685,0.29107374,0.29069725,0.2813578,0.26797184,0.24810696,0.21621668,0.17076038,0.11845902,0.07023542,0.03497614,0.015101805,0.009584983,0.018435443,0.046395708,0.09659177,0.16546851,0.23769586,0.29547605,0.32592282,0.32693532,0.3030136,0.2595906,0.20314588,0.14119239,0.0857988,0.04889072,0.040971633,0.0668494,0.12344728,0.19911058,0.27262142,0.32417917,0.33960095,0.32474282,0.29425386,0.26840165,0.2502429,0.23471098,0.21023792,0.17730965,0.139915,0.104513146,0.07338982,0.05248761,0.051661003,0.07976206,0.13357304,0.19519961,0.2403223,0.25377202,0.23505442,0.19829912,0.16256398,0.1499157,0.17283385,0.22937326,0.29517654,0.34023428,0.34347692,0.31099173,0.267082,0.23839699,0.23043136,0.22749913,0.20716472,0.16415106,0.11436222,0.08436363,0.08881282,0.12317249,0.16621302,0.19874066,0.21234798,0.2125739,0.20670705,0.19814561,0.18349503,0.15975009,0.12682602,0.090024866,0.056269083,0.033783223,0.030142242,0.05224217,0.09977228,0.16078363,0.21306531,0.24111295,0.24836539,0.2565514,0.28068402,0.31473854,0.33238015,0.31630465,0.27316037,0.2338265,0.22257113,0.23930562,0.25657687,0.2481135,0.20863993,0.16055588,0.13314141,0.142053,0.1785239,0.21876161,0.24272566,0.24453701,0.23125082,0.2100621,0.18398505,0.15201306,0.11668274,0.08589804,0.07149526,0.081721395,0.11251966,0.14673291,0.16263707,0.15141615,0.1225613,0.09651547,0.08612155,0.08911035,0.09471544,0.095993854,0.09482527,0.09419451,0.09262559,0.084078155,0.0663279,0.04345405,0.023269378,0.011136659,0.008136584,0.012479479,0.021012096,0.029963406,0.035248358,0.035139117,0.032407157,0.03619078,0.057726666,0.1025553,0.16113615,0.21459062,0.24925692,0.27343693,0.30574474,0.357976,0.4162191,0.45872167,0.4677502,0.44835028,0.41365063,0.38291296,0.36390635,0.35749137,0.35319626,0.34383926,0.32650343,0.30678603,0.2848659,0.2586023,0.22397918,0.19242938,0.17985617,0.1991627,0.24238884,0.2936543,0.3390548,0.37541202,0.40021154,0.4063258,0.38537073,0.33871076,0.28104547,0.2341807,0.21214984,0.21256852,0.2190931,0.21715194,0.20686668,0.20102423,0.21132313,0.23496075,0.25756082,0.26318952,0.2459764,0.21065032,0.16854022,0.13104965,0.10587349,0.09553531,0.09664005,0.1031912,0.11091218,0.12319467,0.14608403,0.18122613,0.21626042,0.23472746,0.22647534,0.20061655,0.17381752,0.15787314,0.14906551,0.13861448,0.12544788,0.1183505,0.12571317,0.14371085,0.16082127,0.16636744,0.15906347,0.14095779,0.1153231,0.08416533,0.053611536,0.031102045,0.023813263,0.034186427,0.061847586,0.10299456,0.15540265,0.21506684,0.27833042,0.33167958,0.36101887,0.35437807,0.31866923,0.2697855,0.22649837,0.19514288,0.1758558,0.16743016,0.17473607,0.20175184,0.24782985,0.3037394,0.35969242,0.4034903,0.4249542,0.41313148,0.36963698,0.3073068,0.24653292,0.19768314,0.1605777,0.1311834,0.11316737,0.11452616,0.1402908,0.18598057,0.24254966,0.29893252,0.34536353,0.3691115,0.36082503,0.32063818,0.26801687,0.23367858,0.2392944,0.28050837,0.32707906,0.35000464,0.3379151,0.30207515,0.25934517,0.22316651,0.2040445,0.20760684,0.2343908,0.2696142,0.29472134,0.29336426,0.26634762,0.22446966,0.18429035,0.15798725,0.15322806,0.1705661,0.20133106,0.22999442,0.24142432,0.23291884,0.2128145,0.19586955,0.19062477,0.19836576,0.21028054,0.2143438,0.20033468,0.16871613,0.1319835,0.10936121,0.11828903,0.164706,0.241924,0.32887432,0.40146515,0.4371806,0.4286289,0.37919247,0.30412096,0.22125591,0.15175754,0.1166884,0.12886618,0.18718754,0.26920292,0.34803686,0.3978672,0.41280878,0.39462993,0.35879698,0.31744322,0.28845814,0.27943859,0.29551038,0.32582876,0.35734534,0.37159213,0.3605907,0.32364476,0.27289084,0.22418164,0.19440092,0.18968736,0.20401555,0.21720326,0.21211107,0.1829042,0.1463799,0.1272809,0.14718395,0.20458578,0.27549028,0.32365617,0.32535508,0.28598192,0.2356262,0.20682913,0.21086521,0.2337253,0.251372,0.25072566,0.24061304,0.2395099,0.2581775,0.28522468,0.30021408,0.28805962,0.25505346,0.21865624,0.19584966,0.186581,0.17792343,0.15548429,0.11768488,0.07745845,0.051954422,0.054580282,0.08586254,0.13946527,0.20047049,0.25842518,0.30401635,0.33587122,0.3535315,0.35828018,0.352163,0.33535305,0.31059754,0.27808437,0.24321927,0.21079321,0.1866547,0.17064649,0.15774548,0.14222927,0.12064114,0.09593013,0.07461034,0.067870885,0.083423875,0.11948892,0.16164674,0.1919899,0.20577754,0.21153809,0.22599238,0.25120643,0.28128698,0.30073205,0.30321214,0.28369787,0.24749915,0.2075892,0.18492603,0.19154762,0.21513511,0.22801918,0.20972766,0.17084749,0.13987567,0.14154334,0.17384763,0.21599694,0.2423693,0.24118073,0.21857059,0.19255948,0.17948432,0.18197732,0.19282113,0.20142376,0.20304586,0.19387569,0.17285109,0.14005344,0.10185673,0.066304214,0.04248297,0.03853856,0.0627707,0.1186868,0.19850339,0.28202128,0.34511468,0.3704287,0.35534084,0.311049,0.262975,0.23592757,0.24347317,0.27335164,0.30422497,0.3186009,0.31719366,0.30774617,0.29884744,0.29574105,0.30040374,0.31106976,0.31758687,0.30927065,0.28031138,0.24168128,0.21353555,0.21358968,0.23827176,0.26588902,0.2711581,0.24598539,0.20039774,0.15453745,0.1234245,0.11280183,0.11642638,0.12233216,0.11845092,0.101874046,0.08109381,0.0734852,0.09398103,0.1461416,0.21627294,0.28125426,0.32011297,0.32754016,0.31494963,0.2992914,0.28929523,0.28106186,0.26912317,0.25603506,0.24886452,0.24950607,0.2468195,0.22908694,0.19215001,0.15078676,0.12698133,0.14022876,0.18935959,0.2568269,0.31705067,0.3550276,0.36563793,0.3518388,0.3178003,0.270462,0.22035103,0.17819571,0.15659924,0.16318034,0.19947244,0.2508873,0.29421952,0.3077171,0.2876358,0.24930726,0.21789867,0.21073568,0.2269388,0.24905159,0.257803,0.24447888,0.21504791,0.18194322,0.15916218,0.15724361,0.18441606,0.2407781,0.31780365,0.39529833,0.44827652,0.45561257,0.41383842,0.3416843,0.27073166,0.22684729,0.21747167,0.23562264,0.27093807,0.31419048,0.35178217,0.3648261,0.34232417,0.29533747,0.25305763,0.23730206,0.24450316,0.25036642,0.23591833,0.20118529,0.16252314,0.1353137,0.1271665,0.13569073,0.15390217,0.17000921,0.17315944,0.15640102,0.123120934,0.08317102,0.048400443,0.02466928,0.011974287,0.0062541063,0.004929382,0.010432596,0.03270554,0.08345125,0.16474967,0.25709197,0.32759252,0.3496201,0.32616588,0.2841921,0.25463143,0.25033614,0.26482353,0.28547418,0.29887307,0.29591778,0.2708732,0.23038816,0.18906927,0.15796089,0.13774751,0.122664206,0.11470898,0.11930428,0.13942027,0.16607772,0.18592596,0.18790269,0.16904037,0.13434578,0.09480996,0.0656734,0.060716663,0.08749133,0.14130796,0.20738244,0.26539454,0.30056667,0.30661872,0.28875348,0.25644335,0.2226152,0.19673236,0.18548751,0.18759567,0.19651313,0.20193742,0.1993862,0.19247575,0.1895686,0.19242485,0.19408314,0.18747193,0.17592038,0.17196928,0.18594825,0.21632488,0.25122008,0.27490786,0.27767727,0.25774342,0.22211784,0.18068184,0.14387403,0.11890804,0.107302845,0.10428855,0.10419989,0.10833622,0.12473345,0.15661608,0.19436085,0.21885914,0.21900009,0.1982918,0.17150664,0.14977007,0.13592881,0.12620981,0.116578884,0.105080605,0.09325392,0.08821065,0.10010723,0.13415934,0.18122137,0.2228605,0.24351831,0.24127091,0.22137249,0.18879955,0.14651766,0.103895605,0.07873036,0.08985325,0.14056645,0.2106003,0.26255837,0.2698285,0.23625451,0.1939433,0.17234193,0.17738326,0.19472373,0.20962758,0.21794324,0.21934742,0.21410702,0.20032828,0.18127787,0.160205,0.1406863,0.12160771,0.100951664,0.07717276,0.052663,0.034265947,0.031961247,0.056735363,0.11372703,0.19721885,0.28796422,0.36393633,0.4091045,0.41859984,0.3934962,0.34128067,0.27815956,0.22646469,0.20241548,0.20289399,0.20878589,0.1996094,0.1728981,0.14564359,0.13975726,0.1602298,0.19008099,0.20823641,0.21135722,0.2139914,0.22783677,0.24376912,0.2437648,0.22425245,0.20762588,0.22218734,0.2722987,0.3311809,0.3599443,0.34443167,0.3016969,0.26723012,0.25951472,0.27398434,0.28821832,0.2863594,0.26420075,0.2307475,0.19751203,0.1754772,0.16968524,0.17917232,0.19472075,0.20440298,0.1989581,0.17907047,0.15149587,0.123871185,0.09850506,0.077747345,0.06834125,0.08389007,0.13380998,0.21488309,0.30494276,0.37383854,0.39741683,0.37420973,0.32480183,0.27779528,0.24925469,0.23523386,0.22264536,0.20359154,0.18129337,0.16101052,0.14321758,0.12301731,0.09876552,0.07714599,0.070103906,0.0855437,0.11915957,0.1567802,0.18385534,0.19473307,0.19328864,0.18599017,0.17666154,0.16522731,0.151468,0.13562699,0.11918894,0.10203863,0.08413174,0.065202095,0.048683558,0.039700616,0.043204006,0.058401763,0.07792565,0.090854794,0.08900847,0.07238576,0.048397455,0.026909063,0.013562304,0.008105501,0.0068341545,0.008749373,0.019556375,0.051543534,0.112609506,0.19630075,0.28037602,0.34268713,0.37368977,0.37529388,0.35064325,0.30022883,0.23039377,0.15457952,0.08967495,0.045393854,0.025843034,0.031494543,0.061849166,0.11124077,0.16760337,0.21594858,0.24684136,0.25999698,0.264106,0.26798812,0.2743149,0.27442428,0.2550946,0.2123226,0.15946747,0.12378655,0.1247979,0.16290107,0.21465199,0.25196412,0.25544953,0.22837628,0.18670286,0.14795908,0.11650333,0.08888105,0.061930347,0.04164263,0.038507912,0.059906688,0.10360064,0.15757109,0.20548667,0.23414616,0.2395529,0.2267843,0.20386736,0.17570128,0.14391947,0.1127629,0.09332814,0.09729195,0.1286845,0.17749546,0.22640817,0.25738573,0.25933564,0.23232925,0.18793654,0.14777291,0.12856285,0.13675751,0.16004282,0.1832702,0.19226141,0.18672259,0.16986883,0.14955698,0.12988041,0.11516831,0.1056908,0.09807667,0.0863566,0.06722602,0.044345576,0.026944248,0.026138,0.05033359,0.09804818,0.15545084,0.19884402,0.2142059,0.20653363,0.19849473,0.20629989,0.22862244,0.2500296,0.25842753,0.2536763,0.24244021,0.2334974,0.23160072,0.24025798,0.25560477,0.27096257,0.27625993,0.2662149,0.23931022,0.20291619,0.17114906,0.15920268,0.16989763,0.18939425,0.19812311,0.18790501,0.16720621,0.15040708,0.14304043,0.13927503,0.12892918,0.108269125,0.081882365,0.060730655,0.054494213,0.06684833,0.09131349,0.11494342,0.12517087,0.118903585,0.104483224,0.09488542,0.09606328,0.101192094,0.09763949,0.079263076,0.05192997,0.02745483,0.015240305,0.020268196,0.04613628,0.09355631,0.15710197,0.22348225,0.28127512,0.32408285,0.35142004,0.36004564,0.34903193,0.32324514,0.29493764,0.27436554,0.26218975,0.25233582,0.23586296,0.2102242,0.17962088,0.15817104,0.15923476,0.187297,0.2300324,0.2659055,0.27556646,0.25293118,0.20660757,0.15251134,0.104314454,0.06848968,0.048140887,0.047941566,0.07330024,0.12410819,0.19060749,0.25556114,0.30343953,0.32635155,0.32864997,0.31977782,0.30920216,0.29974,0.28969824,0.27529308,0.25166282,0.21588235,0.16801135,0.116215944,0.07249482,0.049558263,0.052274477,0.07607771,0.105952166,0.12444278,0.12010223,0.09507179,0.06230333,0.037886888,0.03310621,0.04998101,0.08102556,0.11077646,0.124346636,0.114795536,0.08810359,0.056905527,0.032802314,0.021489793,0.02530474,0.049307633,0.09973252,0.17816962,0.26829097,0.34095466,0.36767194,0.34617302,0.29899758,0.26033798,0.24912162,0.26767173,0.30242252,0.3387123,0.35821763,0.3502495,0.31134063,0.25462553,0.20238332,0.17659938,0.18559462,0.21508701,0.24118954,0.24173766,0.21532637,0.17151876,0.12559985,0.0864721,0.062488522,0.063311815,0.09661148,0.15993764,0.23560083,0.30060458,0.33915725,0.35127994,0.3475571,0.3375295,0.32469288,0.30991685,0.29711756,0.29039314,0.28527606,0.2692422,0.23229752,0.18051235,0.1346484,0.11593118,0.13078135,0.17009968,0.2174356,0.26148924,0.29379502,0.31126833,0.31147346,0.2980777,0.2747007,0.24441211,0.20851602,0.16919559,0.12966841,0.09307226,0.06405705,0.049687337,0.054925818,0.07727247,0.10423008,0.12129587,0.11915656,0.09921945,0.069905914,0.04183659,0.021840045,0.011730574,0.011132051,0.022728661,0.054508317,0.11237202,0.19082081,0.26938435,0.32659218,0.35331818,0.36031225,0.3630799,0.37369135,0.38740435,0.3949211,0.38251624,0.35210153,0.31239972,0.27899507,0.25356644,0.23198569,0.20925842,0.19219936,0.18831705,0.19940446,0.21802084,0.23831952,0.2589221,0.28019318,0.29881236,0.30613646,0.29428208,0.2601008,0.21393628,0.177078,0.17330296,0.2089868,0.2666129,0.3145311,0.33175334,0.31757057,0.28787667,0.25586304,0.23035581,0.21310617,0.20753227,0.20950067,0.20973176,0.19599134,0.16919641,0.14622848,0.14696853,0.17542522,0.21217461,0.23235317,0.22196603,0.18642987,0.13982102,0.098538004,0.07753813,0.088803746,0.1334749,0.19542933,0.24551709,0.25905454,0.23240165,0.18744092,0.15485317,0.15276593,0.17302813,0.19135074,0.18850857,0.16705962,0.14512734,0.13881741,0.14741108,0.16002958,0.16563113,0.1627779,0.15254149,0.13715522,0.11620754,0.091918975,0.066562794,0.043604746,0.024939438,0.012403618,0.0061541186,0.0054353606,0.008515827,0.015351108,0.028304309,0.052583974,0.09193876,0.14816636,0.21730132,0.2919685,0.35679412,0.39820376,0.4091532,0.3993276,0.38008144,0.3577998,0.3279645,0.2940484,0.26715374,0.26295528,0.28093192,0.31079626,0.33487913,0.34548268,0.33878306,0.32091856,0.29929173,0.28657353,0.28794014,0.3003359,0.30777442,0.29638398,0.26204416,0.21799116,0.18441045,0.17747712,0.20014267,0.24016733,0.27894023,0.2975097,0.28959045,0.25995812,0.22318399,0.18971574,0.1624703,0.13943149,0.12354524,0.123686016,0.14612731,0.18510145,0.22614239,0.25695285,0.27477655,0.282767,0.280574,0.26562935,0.23472649,0.19411004,0.15353024,0.12819187,0.12552504,0.14544351,0.17308785,0.1927277,0.19413279,0.18257467,0.16876839,0.16104527,0.15781234,0.15239759,0.14089584,0.12610115,0.11569616,0.11370773,0.11734378,0.117997296,0.11014736,0.09613562,0.0857594,0.0870549,0.099464394,0.11240942,0.11422833,0.09968688,0.07390053,0.047455907,0.032548677,0.03919981,0.071637996,0.12219194,0.16950786,0.18913768,0.1712295,0.13009618,0.09434288,0.08379974,0.097500384,0.12033278,0.14499019,0.17788373,0.22681229,0.28151038,0.315479,0.3076109,0.2589347,0.19069515,0.1264029,0.080262624,0.055989858,0.05378766,0.076660484,0.12568595,0.19249892,0.25465712,0.2923575,0.30334568,0.30367997,0.30840406,0.31959334,0.33405885,0.35202637,0.3757346,0.39935294,0.40957773,0.3982322,0.3639059,0.314303,0.25560412,0.20375563,0.17765962,0.19429274,0.24798732,0.31051362,0.3484757,0.34377483,0.30470285,0.25275564,0.20998783,0.18456842,0.17276762,0.16453187,0.15403938,0.14146648,0.12952012,0.11681628,0.09922707,0.07475321,0.048261594,0.027584195,0.01739045,0.016083336,0.020837443,0.034427743,0.066652454,0.12282556,0.19201909,0.24562426,0.25922826,0.23252875,0.19255413,0.17058124,0.18149239,0.21806961,0.26356363,0.30140817,0.32465902,0.3320737,0.32943988,0.31715742,0.296235,0.2676709,0.24241781,0.2290764,0.22662766,0.22148192,0.20105307,0.16564736,0.12830915,0.10510862,0.10365543,0.11906803,0.13993748,0.15604134,0.16516794,0.16889124,0.16886173,0.16343208,0.15137132,0.13700767,0.13113126,0.14502397,0.17905919,0.21792285,0.23940603,0.22922747,0.19083744,0.13962288,0.09280664,0.062411517,0.055909414,0.07670363,0.120504834,0.17408718,0.21962404,0.24513079,0.24728411,0.23093612,0.20523012,0.18656301,0.19384503,0.23843622,0.3101304,0.37950906,0.41253936,0.39104724,0.32067484,0.22938202,0.15268292,0.11862276,0.13024923,0.1675546,0.19784741,0.2004478,0.17270957,0.12928273,0.086291134,0.05646813,0.04642005,0.059671182,0.09421196,0.14156199,0.18832986,0.22706723,0.25679892,0.28209606,0.29828826,0.30136752,0.2893313,0.27447596,0.26486933,0.26428485,0.26439443,0.2606808,0.24863066,0.23080254,0.20989345,0.19315946,0.18382384,0.17942907,0.1721494,0.15742558,0.14128107,0.13500006,0.14591257,0.16714925,0.18470459,0.18788256,0.17838399,0.16256307,0.14459915,0.124503665,0.10743681,0.102940656,0.119333155,0.15361305,0.19298999,0.22026461,0.2216569,0.19491136,0.15165305,0.11500099,0.10317263,0.11993089,0.15058245,0.17590924,0.18170558,0.16593051,0.13445885,0.09900073,0.07267181,0.06521688,0.07542261,0.0909925,0.09859378,0.09815984,0.10382998,0.12940185,0.1708265,0.20550533,0.2130033,0.19482297,0.17981426,0.19915712,0.2642134,0.35310054,0.42980567,0.46541128,0.45538712,0.41675997,0.3720816,0.33592534,0.30794755,0.28525022,0.268833,0.2650626,0.27500594,0.29232237,0.30683562,0.30963042,0.29529467,0.26572767,0.23380668,0.22014989,0.23883717,0.28790092,0.34649312,0.39053127,0.40144053,0.38042772,0.339579,0.29790875,0.26443255,0.23986733,0.2198515,0.20629853,0.20980625,0.2401642,0.2928732,0.34523356,0.36966407,0.3552911,0.3099222,0.25228158,0.1925541,0.13624416,0.08613045,0.052110687,0.044605065,0.07003078,0.12017864,0.17233753,0.20034266,0.19591679,0.17691219,0.1712368,0.19150208,0.22537966,0.25120255,0.25549844,0.23973934,0.21475957,0.19442911,0.19053824,0.20552354,0.23210101,0.2563479,0.26764348,0.26059556,0.24048124,0.22252278,0.22817083,0.2647795,0.3161308,0.35020626,0.3490945,0.3196499,0.28377724,0.25421032,0.23030715,0.20636916,0.18183775,0.15994056,0.14078452,0.12153948,0.100268655,0.08348721,0.08234478,0.10611674,0.15157652,0.20212235,0.23405807,0.2298299,0.18906915,0.12960951,0.07739683,0.053297315,0.06450196,0.106498264,0.16441803,0.21924603,0.25185955,0.255216,0.23995416,0.22731574,0.2340895,0.25577024,0.2768339,0.28024527,0.26717073,0.24695826,0.232274,0.22395444,0.21602194,0.2002216,0.17504676,0.14486067,0.115262635,0.08873961,0.06487836,0.043504942,0.026224324,0.017038545,0.021964883,0.050104577,0.1075485,0.19039945,0.27650797,0.33712438,0.35486403,0.33949816,0.31811458,0.31046972,0.3141795,0.31006953,0.286638,0.25091466,0.22409092,0.22192651,0.24468166,0.28007376,0.3129629,0.3327047,0.33351946,0.31770876,0.29309058,0.27140117,0.25572968,0.24034579,0.21355389,0.1739471,0.13465455,0.1180486,0.13834628,0.19048022,0.2524295,0.30064085,0.32268465,0.3216976,0.30788144,0.29294917,0.28375474,0.28148916,0.27826354,0.26210424,0.22694927,0.1840268,0.1577004,0.16931522,0.21839233,0.28315416,0.33595708,0.36329675,0.3691059,0.3637387,0.35137632,0.32971102,0.2978464,0.26066586,0.22311135,0.18792005,0.15610993,0.13620807,0.13724725,0.16510527,0.2107306,0.259554,0.29442683,0.30684677,0.2949579,0.2663897,0.23282754,0.20665215,0.19158387,0.1847357,0.17924361,0.17550029,0.175234,0.17745133,0.17204805,0.15085731,0.11728617,0.087409414,0.07854929,0.096636616,0.13458379,0.17886786,0.21725477,0.24205196,0.2497571,0.24298517,0.22910406,0.21853107,0.21910423,0.23657238,0.27221355,0.32048133,0.3632798,0.37718916,0.34935227,0.29225513,0.2384661,0.21535887,0.22721322,0.25565016,0.2842736,0.30815986,0.33154473,0.352304,0.36300373,0.35603657,0.33234116,0.29821816,0.2641901,0.2340395,0.20563753,0.16978063,0.12676062,0.08706868,0.07062621,0.08654591,0.12975498,0.17791586,0.21146093,0.21929656,0.20870174,0.19133417,0.1766641,0.16325967,0.14644648,0.1283916,0.120411575,0.13384928,0.16602147,0.20096283,0.22348417,0.2296686,0.22438876,0.20837818,0.17877394,0.13829263,0.10362946,0.09694874,0.12722796,0.1809157,0.22638218,0.23843652,0.21293795,0.1734968,0.14716321,0.14790915,0.16523854,0.18186359,0.18681419,0.18255705,0.17868312,0.18399817,0.2024001,0.22927463,0.25480607,0.26823625,0.26462772,0.24566104,0.21960717,0.19603948,0.1808309,0.17092091,0.1603855,0.15143389,0.15647076,0.1884107,0.24108611,0.29537663,0.32830763,0.3382063,0.33496007,0.33602628,0.34246922,0.34612206,0.33254275,0.3034531,0.27362883,0.26249778,0.2715427,0.28727233,0.29275706,0.28466246,0.26577103,0.23817086,0.19791637,0.14647722,0.09239296,0.048275035,0.02190028,0.016409284,0.034913484,0.08090525,0.15201412,0.23249488,0.29555926,0.31732893,0.29131892,0.23649448,0.18416536,0.15984797,0.16278218,0.17238335,0.1647511,0.1374464,0.10955978,0.10839803,0.14519738,0.20780881,0.26875114,0.30534747,0.3115895,0.29684696,0.27520558,0.25512713,0.23621933,0.21252811,0.18216603,0.1542598,0.14439301,0.15931346,0.18600965,0.20227176,0.19854774,0.18683757,0.18488479,0.19480665,0.20373087,0.19972776,0.1844514,0.16412477,0.14090103,0.111415245,0.07729076,0.046995223,0.033245966,0.046399932,0.08932483,0.15145274,0.20936792,0.24123581,0.24447007,0.23884721,0.24662423,0.27375242,0.304222,0.31701246,0.29752597,0.25003254,0.1908281,0.14238033,0.11609573,0.11101791,0.117450826,0.12834059,0.137847,0.14044899,0.13216189,0.12190047,0.13114403,0.18024953,0.27015308,0.37506017,0.4604145,0.49671793,0.4799597,0.42444023,0.36420608,0.328552,0.33016,0.3512235,0.36093506,0.3420342,0.30656755,0.28321955,0.28568974,0.2983373,0.2933779,0.26035395,0.22123544,0.20618723,0.22830601,0.26902267,0.3027213,0.31643566,0.3189602,0.32255447,0.33038944,0.33478597,0.32942247,0.31722137,0.30835426,0.31001267,0.31939313,0.3245872,0.31352007,0.27983332,0.22682981,0.16359761,0.10348565,0.05715279,0.032041498,0.02973149,0.04831716,0.07828095,0.10451627,0.110941134,0.09369851,0.06329346,0.04005182,0.04085154,0.07293123,0.13052507,0.19751126,0.25309378,0.2824262,0.28506863,0.2751621,0.27052668,0.27916005,0.2950265,0.30552813,0.30352914,0.2904552,0.27134073,0.24851488,0.22036701,0.1858855,0.14859727,0.12058306,0.1173806,0.1492972,0.2071929,0.26550034,0.29483637,0.28689787,0.25508034,0.22459649,0.20786111,0.20234299,0.19475065,0.17531598,0.14360371,0.11198757,0.102571435,0.13334833,0.20291108,0.2845477,0.34213853,0.3520939,0.3152219,0.2523618,0.19318199,0.16440983,0.17748904,0.219402,0.25830695,0.264564,0.23306178,0.18626297,0.1555189,0.15679042,0.18183728,0.20890777,0.22050387,0.21036881,0.1811527,0.13873184,0.092061676,0.050967705,0.02278346,0.008396956,0.0056542214,0.014991209,0.04392238,0.10039391,0.18287353,0.27236798,0.3415315,0.37198186,0.36566687,0.34018195,0.3108879,0.28558114,0.2633507,0.24801075,0.24374515,0.2584746,0.28871152,0.32422805,0.34223878,0.32945785,0.28726605,0.242142,0.22203624,0.23981686,0.27719036,0.30175313,0.287542,0.23654068,0.1722023,0.12626876,0.115737475,0.13872771,0.17556779,0.20699848,0.22269498,0.22426416,0.2139488,0.19136874,0.15886149,0.13083528,0.12965272,0.16821428,0.23741186,0.30946815,0.35843086,0.37350288,0.36228585,0.3385017,0.3122336,0.2844328,0.25024757,0.20882738,0.16845678,0.14762296,0.16003014,0.20487706,0.26225185,0.30859253,0.3302474,0.3290824,0.3138579,0.2901903,0.25921395,0.22158961,0.183976,0.15505226,0.14128488,0.13907208,0.14037819,0.13621442,0.12562966,0.11275964,0.10345856,0.09775547,0.08954946,0.07341611,0.050205488,0.028175281,0.01557067,0.018433953,0.03930131,0.07976147,0.1357868,0.19822665,0.25195503,0.28550777,0.2927229,0.2775301,0.24713494,0.21016349,0.17087394,0.1324033,0.10038442,0.08708931,0.10592526,0.15876578,0.22825457,0.28411832,0.3044844,0.28853133,0.25496504,0.22342147,0.2035899,0.19339316,0.18727122,0.18083864,0.1707142,0.15464129,0.13452516,0.12264191,0.13918711,0.19834824,0.29261026,0.39027107,0.45500258,0.46751937,0.43360424,0.3738443,0.30972773,0.2577906,0.22699684,0.2165767,0.21730417,0.21766645,0.21355212,0.20700176,0.20147753,0.19689478,0.19220047,0.18782842,0.18447171,0.18103652,0.17612009,0.17136723,0.17038286,0.17377855,0.17653354,0.17576133,0.17955466,0.20316476,0.25512603,0.32134545,0.379086,0.40833294,0.41221467,0.40023085,0.38682708,0.3732969,0.35746273,0.33012336,0.29172015,0.25143817,0.22721277,0.22867227,0.2537123,0.2895188,0.32376835,0.34846488,0.36418903,0.37458542,0.3823348,0.38235763,0.37000552,0.34333006,0.3057545,0.25704175,0.2001162,0.14580178,0.11638827,0.12622045,0.16898733,0.21570437,0.2381223,0.22499329,0.18770383,0.14614256,0.11661711,0.10319331,0.09891812,0.091808856,0.07631215,0.05839044,0.05295718,0.06844654,0.101097785,0.13430786,0.15628983,0.16323066,0.16124018,0.15166856,0.13323544,0.10386502,0.06931106,0.038307548,0.017359823,0.0067205336,0.0041468833,0.009818336,0.02840659,0.06492353,0.117940575,0.17752452,0.22829823,0.25956184,0.2655048,0.24800979,0.2104773,0.16482636,0.12741272,0.11651484,0.13773568,0.1824205,0.22986913,0.26253042,0.26911458,0.2523184,0.21919371,0.18190503,0.14641249,0.11822019,0.101738624,0.10275629,0.12021523,0.14195868,0.1528126,0.14752826,0.13627933,0.1319905,0.13642906,0.14106284,0.13996708,0.13950782,0.14901765,0.17015707,0.19354527,0.20960969,0.21378113,0.20727181,0.19317043,0.1766578,0.16116168,0.1456226,0.12457323,0.096654914,0.069787815,0.05904554,0.07466472,0.11283525,0.15434735,0.17932753,0.18262963,0.178641,0.18450898,0.2019418,0.21547614,0.20953935,0.18567272,0.16306804,0.16305614,0.19453187,0.24445195,0.2896079,0.30513468,0.28479043,0.23729502,0.18655854,0.15041299,0.1344084,0.12784475,0.11877268,0.10441351,0.092006765,0.09046149,0.10259541,0.12481228,0.1487181,0.16357955,0.16133767,0.14009087,0.10657955,0.0703878,0.040396407,0.020379825,0.010342322,0.008079193,0.013211839,0.029601984,0.06243931,0.11059352,0.16041787,0.19283919,0.19853319,0.18611544,0.17178051,0.16139375,0.14772733,0.122027375,0.08876601,0.0638003,0.06501026,0.098934285,0.15533431,0.20936505,0.2363515,0.22673164,0.19126964,0.14875002,0.114761285,0.09561319,0.0919613,0.09730526,0.10060576,0.091542035,0.070922785,0.052113336,0.054661315,0.09140464,0.15895993,0.23652327,0.2959704,0.31942007,0.30666438,0.271228,0.22704625,0.18495084,0.15261273,0.13447432,0.12725282,0.121917404,0.11289636,0.104427785,0.10586455,0.12054565,0.14278923,0.16250104,0.17415078,0.17687958,0.17321236,0.16307057,0.14532895,0.118219435,0.08585853,0.05758913,0.04758322,0.0656238,0.11241933,0.17411767,0.22995101,0.25962994,0.25746813,0.22985178,0.19318663,0.15819608,0.13173321,0.116082035,0.11859646,0.1446734,0.1898269,0.23540898,0.25845358,0.24917959,0.21388334,0.16892785,0.12550922,0.088371694,0.058426216,0.038930718,0.03581969,0.054082092,0.09543427,0.15160559,0.20557411,0.2338471,0.22295754,0.17828707,0.12518036,0.09225232,0.09195334,0.114477836,0.13428693,0.13448663,0.116548456,0.10394538,0.11884155,0.16684586,0.22659163,0.2653775,0.26000205,0.21157543,0.14271963,0.080485776,0.043551747,0.03521792,0.04761204,0.06570519,0.07539548,0.069443986,0.05116297,0.029937306,0.014110085,0.005961506,0.003289209,0.0043321247,0.011571254,0.03264943,0.07344658,0.13128948,0.18878798,0.225006,0.22822803,0.2078234,0.18410695,0.17495656,0.18447185,0.20542045,0.22512396,0.22971858,0.21064459,0.16794969,0.11394725,0.06404956,0.030482046,0.01676702,0.024251059,0.055500593,0.112669505,0.18868537,0.26344833,0.31238577,0.3203647,0.2920371,0.24700923,0.20884627,0.18924342,0.1841331,0.17974311,0.17017202,0.16395085,0.1743006,0.20135057,0.22841908,0.23686375,0.2207676,0.18808548,0.1502357,0.11533176,0.0898482,0.07908992,0.086527206,0.10673484,0.12958181,0.14124541,0.13536455,0.111434184,0.07884561,0.049596254,0.03757982,0.052358646,0.09539192,0.15656912,0.21494134,0.24988134,0.2520089,0.23081894,0.2054411,0.19015007,0.18434961,0.17878433,0.16711573,0.1519853,0.13983712,0.13630278,0.14278363,0.15631665,0.16880856,0.17142111,0.16106375,0.14122666,0.117741406,0.09296438,0.06783236,0.04552844,0.0351838,0.050250143,0.10021896,0.18053047,0.26806602,0.3365109,0.37287772,0.38308823,0.37577185,0.35192013,0.31017375,0.2553684,0.2015767,0.16137967,0.14824247,0.1680866,0.21875262,0.28068078,0.3309117,0.35385218,0.34899697,0.32508028,0.2920225,0.2606347,0.23554675,0.21839412,0.20252204,0.18552725,0.16686742,0.15318358,0.14604288,0.1426435,0.13332608,0.11277958,0.08242321,0.05203833,0.032375883,0.033391,0.059409823,0.1084888,0.16741322,0.22060613,0.25558618,0.27370664,0.27967182,0.27703407,0.26155722,0.23238693,0.19695492,0.16880088,0.15365893,0.14454561,0.12948248,0.11076716,0.10740585,0.14240767,0.2165385,0.3021512,0.3604844,0.37171927,0.34739783,0.31294844,0.28356338,0.25744897,0.23269863,0.2184005,0.22779322,0.26047638,0.30072626,0.3273673,0.3285161,0.3037174,0.26684776,0.23867242,0.2362783,0.25601867,0.27583662,0.27439055,0.25084132,0.22345145,0.2096319,0.21246196,0.22287494,0.23174976,0.23678751,0.23996232,0.24584003,0.25490108,0.26414838,0.26322994,0.24592645,0.21309167,0.17718142,0.15051581,0.14006245,0.14167613,0.14467104,0.1386574,0.12291336,0.10949686,0.1150352,0.1476026,0.20089026,0.2589755,0.3083086,0.33976924,0.35088393,0.34123692,0.31833422,0.29480812,0.2877123,0.3056407,0.3433492,0.38014066,0.39354435,0.37297523,0.32754764,0.28007668,0.25135055,0.24632776,0.24997993,0.24187164,0.21488662,0.1868441,0.18665618,0.23166259,0.30894879,0.3823805,0.41583773,0.39814392,0.35233662,0.31675574,0.3189998,0.3532759,0.39295852,0.4105717,0.40032685,0.37158456,0.33868554,0.30713615,0.27506804,0.2368095,0.18980134,0.13836037,0.09455561,0.07476463,0.09067583,0.14128602,0.21061577,0.2765019,0.3210636,0.3380818,0.3303756,0.30608976,0.27302024,0.23638743,0.19867574,0.16218124,0.13392271,0.12276089,0.1361299,0.16960867,0.208452,0.23018344,0.22156864,0.1859061,0.14662084,0.12975961,0.14766173,0.18837947,0.22501545,0.23596632,0.21799755,0.18892455,0.17035757,0.17573297,0.19969451,0.22681902,0.24053943,0.23356052,0.20728384,0.16805051,0.12312192,0.079952106,0.046986137,0.033854727,0.05032842,0.10246458,0.18696149,0.28779754,0.3808525,0.4422352,0.45829663,0.42909983,0.37288615,0.31712517,0.28828916,0.29325017,0.32020772,0.3457818,0.35189316,0.33256453,0.2930542,0.24497335,0.19956803,0.1674583,0.15358232,0.15556444,0.1612913,0.15702035,0.13572642,0.1015122,0.06617386,0.043214753,0.044968378,0.07637933,0.13134672,0.18804966,0.22231661,0.22091824,0.19669823,0.1750233,0.17812504,0.20501773,0.24243994,0.27504078,0.3006396,0.31864163,0.32778278,0.3219156,0.30372903,0.2806714,0.26203308,0.24915649,0.24280412,0.2427124,0.24803115,0.25086585,0.24349089,0.22376944,0.198376,0.17525959,0.15763132,0.14285654,0.12573686,0.10647752,0.09346166,0.101950146,0.13878667,0.1909777,0.22761457,0.22321182,0.18163605,0.13569313,0.12325428,0.15548418,0.21019118,0.24850877,0.24795973,0.21930756,0.19771266,0.21172667,0.2590231,0.3097848,0.33310947,0.32159245,0.29157925,0.2637047,0.24702473,0.23771898,0.23060961,0.22083044,0.20472534,0.17608915,0.13707437,0.09937668,0.084868364,0.10709083,0.16358818,0.23012082,0.2797885,0.29628578,0.28387037,0.25744846,0.23485245,0.23378064,0.2660767,0.32842878,0.39491796,0.4326941,0.42655966,0.3890144,0.34785733,0.32054043,0.30711558,0.2933198,0.26643562,0.2214232,0.16438448,0.10867231,0.07001764,0.06243821,0.09032476,0.14589262,0.20550402,0.24486494,0.2507976,0.23496442,0.219781,0.22224171,0.23787248,0.24815284,0.23606552,0.1999925,0.15586893,0.12743504,0.13307354,0.1751654,0.23807406,0.2961888,0.3265214,0.32225356,0.29573607,0.26729062,0.24894233,0.23534496,0.21460186,0.1797028,0.1354592,0.09178937,0.060801025,0.055072945,0.08740714,0.16083223,0.26161292,0.35802242,0.41823956,0.42392656,0.38032234,0.30768064,0.23472013,0.18605423,0.17438306,0.1925943,0.22083342,0.23975296,0.24357961,0.23811209,0.23275511,0.23276724,0.23770477,0.24256241,0.24027419,0.22603346,0.199831,0.16603842,0.13161515,0.10508529,0.09456134,0.10274712,0.12267947,0.14162727,0.14856447,0.14164276,0.12564148,0.10835091,0.09522724,0.08881802,0.08790969,0.087866955,0.083315246,0.07270964,0.06323146,0.0670821,0.092106946,0.13131969,0.16632842,0.17946123,0.16896051,0.14890878,0.13936782,0.1499265,0.17420776,0.19609518,0.20480852,0.2023207,0.19887786,0.19992846,0.20361109,0.20251791,0.19360511,0.17605865,0.15428501,0.13184054,0.111957826,0.09306068,0.07294341,0.051730495,0.033567168,0.022325084,0.020075044,0.029363029,0.05915141,0.11811187,0.20557468,0.30036712,0.3740141,0.4052179,0.395314,0.35995093,0.31891882,0.28541896,0.26455057,0.25558385,0.2519221,0.24653263,0.23134159,0.20628197,0.17661731,0.15489905,0.14880587,0.15856965,0.17560917,0.18926005,0.19175798,0.17985255,0.15731569,0.13156341,0.10943303,0.09268593,0.08114385,0.077994525,0.08768898,0.110017836,0.1368591,0.15845509,0.16993952,0.17044984,0.16123557,0.1435953,0.12468914,0.11212539,0.110147744,0.11195854,0.10953578,0.09996017,0.09051239,0.088392705,0.095244534,0.10457379,0.108772226,0.10379648,0.09225375,0.080417454,0.07308751,0.06905913,0.06312174,0.051248763,0.03537062,0.021119112,0.014428325]