[0.0405877,0.038849946,0.036186185,0.035699394,0.03989042,0.0501668,0.0674313,0.093069464,0.12690474,0.16551994,0.2019471,0.2294994,0.24419414,0.24607117,0.23797101,0.22460175,0.20967883,0.19431587,0.17705232,0.15803961,0.14022845,0.12923801,0.12797208,0.13625872,0.14855337,0.15935971,0.16289227,0.15871891,0.14727467,0.13198768,0.11425856,0.09757059,0.08434326,0.07680553,0.073443376,0.07119643,0.06757724,0.06228523,0.05647208,0.050928757,0.046205897,0.04262526,0.04049879,0.03967956,0.039556,0.039605755,0.039598625,0.039719827,0.03991741,0.039969176,0.039523967,0.03907664,0.040269163,0.045683056,0.05672279,0.07114185,0.08319398,0.087509446,0.08428823,0.07893745,0.076740004,0.07761568,0.07720477,0.073015,0.06721347,0.06497221,0.06821236,0.07489103,0.08073851,0.08457443,0.087314926,0.090267785,0.09163932,0.08967527,0.08423561,0.078279644,0.07411826,0.07199112,0.069909446,0.06586645,0.05948968,0.052176517,0.046384495,0.044193607,0.046818122,0.0543804,0.06547749,0.07655778,0.08300998,0.08210222,0.07551354,0.068007566,0.06353537,0.06260619,0.0631754,0.06332964,0.062047303,0.059112836,0.054715868,0.05014534,0.046935543,0.04548748,0.04474782,0.043597747,0.04262505,0.043118224,0.04559836,0.048705947,0.050674364,0.050564587,0.048641253,0.045998916,0.04393612,0.043690357,0.04538919,0.04808186,0.050332744,0.05137756,0.0513256,0.05055694,0.049484935,0.048393488,0.047611028,0.04748145,0.048239056,0.050011307,0.05218643,0.054042924,0.05493683,0.055279437,0.055465043,0.05573961,0.055642027,0.05505744,0.054125383,0.05336575,0.05312748,0.05358753,0.054569557,0.055652168,0.056360867,0.056592185,0.056513112,0.05637926,0.056090623,0.055540804,0.05470969,0.053942397,0.053558815,0.053839166,0.054771315,0.056061428,0.057224717,0.058023006,0.058757577,0.05982113,0.06114751,0.062117767,0.062287956,0.06192452,0.06171942,0.062352702,0.06413882,0.06802806,0.07557586,0.088935405,0.10883837,0.13481283,0.16475265,0.19628055,0.22517295,0.2467993,0.25647333,0.2537727,0.2419586,0.22872786,0.22029637,0.21867247,0.21775825,0.2090296,0.18775582,0.15814878,0.12947172,0.10871465,0.096793234,0.08972817,0.08430004,0.07959802,0.07711824,0.07754672,0.08075447,0.085573226,0.09156119,0.09846372,0.107067935,0.11679848,0.12602001,0.13106404,0.13065553,0.12641011,0.12309196,0.12390431,0.12931703,0.13683964,0.14358841,0.14767624,0.14896815,0.14841145,0.14719991,0.14618498,0.14596981,0.14618446,0.14575492,0.1433648,0.13956106,0.13620909,0.13556069,0.13874952,0.14614284,0.15706736,0.1685495,0.1761418,0.17629133,0.1704746,0.16348107,0.16073467,0.1633634,0.16887987,0.17245884,0.17081307,0.16446061,0.15701874,0.15200995,0.14845799,0.14225978,0.13005055,0.113219686,0.09662652,0.084593795,0.07818385,0.07531995,0.0731917,0.070071,0.06590808,0.061565965,0.0579983,0.055825353,0.055629313,0.057500612,0.06097786,0.06457751,0.06699166,0.06737338,0.065836996,0.06271549,0.05868202,0.054762673,0.05222523,0.05162136,0.052410897,0.05303817,0.052515164,0.05075163,0.04919294,0.049356207,0.051716063,0.05499971,0.056929607,0.05676064,0.0550244,0.053372294,0.052016933,0.05067091,0.048564684,0.045553252,0.04183725,0.03808379,0.035636395,0.03577215,0.039106492,0.044162005,0.048213333,0.048317444,0.044045612,0.037140645,0.030626217,0.026118541,0.023908658,0.023326213,0.024038719,0.025664778,0.027701244,0.029137768,0.02927231,0.027803233,0.025222786,0.02224134,0.019715263,0.018185323,0.017745292,0.017990189,0.018250627,0.018052509,0.01724189,0.016106205,0.015049974,0.014512841,0.014649793,0.015426144,0.016576083,0.017871166,0.019179674,0.020592617,0.022015797,0.023134485,0.023397153,0.02306859,0.023052445,0.02451361,0.02710598,0.029330013,0.029516155,0.027820796,0.025876261,0.025219282,0.025786022,0.026340546,0.026237415,0.02600967,0.026430381,0.027353838,0.027822418,0.027604083,0.027211564,0.027491458,0.028191952,0.02873063,0.028743535,0.028682187,0.029004278,0.029734807,0.030550689,0.031224122,0.031773705,0.032362536,0.03311198,0.03398748,0.03468541,0.03494206,0.03490436,0.03522103,0.036545817,0.039005358,0.04222824,0.04575381,0.04928002,0.052679073,0.055836335,0.058878645,0.06190908,0.06483883,0.0670535,0.06793993,0.0673381,0.06593863,0.064959,0.065759934,0.06915174,0.07490327,0.08169802,0.08770874,0.091706246,0.09344897,0.0937938,0.09384274,0.0945969,0.09575233,0.09603056,0.09347099,0.08788494,0.08065551,0.07433986,0.07013738,0.06811725,0.067646004,0.06831681,0.06984475,0.07141918,0.07230973,0.07178385,0.07013797,0.06802309,0.066479325,0.06590872,0.06608316,0.06623059,0.06585699,0.06481795,0.06363931,0.06261806,0.062310264,0.06261435,0.063686796,0.06510484,0.066644914,0.06768608,0.06795588,0.06732782,0.06634203,0.0655818,0.06575451,0.06673046,0.06810012,0.06883249,0.06870802,0.067858495,0.06739735,0.067848384,0.069595866,0.07178945,0.07373926,0.07440936,0.074084826,0.0731996,0.073033676,0.07390801,0.07635393,0.079809316,0.08388906,0.08735319,0.09021955,0.09321306,0.0980928,0.105334975,0.114032365,0.122045934,0.12731075,0.12881434,0.12697385,0.12364394,0.12019307,0.11640135,0.11061316,0.10242472,0.09414194,0.08942214,0.090423405,0.09581979,0.102315605,0.10619209,0.105836935,0.10145124,0.095983505,0.09281149,0.09505581,0.10192567,0.10967896,0.11176032,0.10452929,0.08847204,0.06954314,0.053730663,0.0444604,0.040603593,0.03931564,0.038121168,0.036297664,0.034211095,0.032546382,0.03157157,0.031298835,0.031350736,0.031470235,0.031126074,0.030002309,0.02790547,0.025367057,0.023245448,0.022234544,0.022311075,0.022945553,0.023818545,0.025058249,0.02686436,0.028854318,0.030096948,0.029786527,0.027856693,0.024932997,0.021806367,0.018952284,0.01661917,0.014906976,0.014019833,0.014114988,0.01553367,0.018683543,0.023803495,0.030398631,0.03691947,0.041334618,0.04192472,0.03841652,0.031959902,0.024734205,0.018653682,0.014730909,0.012838434,0.012250165,0.012089941,0.011750606,0.011019896,0.010081475,0.009223856,0.008583647,0.008093204,0.0077597057,0.0079650115,0.009528791,0.013363789,0.019900741,0.028589427,0.03772725,0.045019418,0.048354942,0.046906594,0.041253522,0.033253957,0.02501391,0.018324478,0.01405958,0.012274049,0.012436732,0.013766562,0.015369265,0.016289389,0.015848575,0.013990019,0.01137464,0.00886141,0.006989214,0.0057622143,0.004976714,0.0045252745,0.004549547,0.00531916,0.0071130446,0.010085392,0.014103296,0.018576067,0.0224227,0.024383353,0.02363939,0.020365397,0.015840366,0.011752647,0.009379015,0.009016808,0.010306268,0.012599744,0.015216887,0.01734221,0.018277138,0.017838636,0.016533248,0.015124623,0.01405526,0.0132869305,0.0125864865,0.011887063,0.011314156,0.011011374,0.010908379,0.010714975,0.010099658,0.008979403,0.00760641,0.006444076,0.0058904146,0.006189562,0.0074182837,0.009520042,0.012262389,0.0151864765,0.017719753,0.01924446,0.019406775,0.018230056,0.016245557,0.014096347,0.012220719,0.01071338,0.009659053,0.009332017,0.009880016,0.01094297,0.011598401,0.011137749,0.009551595,0.007653214,0.0064330394,0.0066342684,0.008385098,0.011191133,0.014103589,0.016239358,0.017612897,0.019195365,0.022681706,0.028358668,0.0348386,0.038589668,0.03765632,0.03261146,0.027718626,0.026791818,0.03081332,0.036520187,0.039389305,0.037336648,0.031987447,0.027326202,0.025945803,0.027699912,0.029679142,0.029215002,0.025798349,0.021908252,0.020211486,0.021221206,0.022466928,0.021917725,0.020132119,0.020452127,0.02446921,0.030314842,0.033493813,0.0323115,0.029175578,0.028148517,0.0299784,0.031502962,0.029908499,0.026022188,0.023579983,0.024279574,0.026241826,0.026201854,0.023654202,0.020806415,0.01967364,0.019675717,0.019086758,0.017772002,0.017349547,0.019111639,0.022144603,0.02488788,0.026815569,0.028909335,0.031985253,0.036040585,0.041009024,0.047377873,0.05583154,0.06610936,0.07711262,0.08773742,0.097885974,0.10859623,0.12124988,0.13646422,0.15314817,0.1688466,0.1811995,0.18974961,0.19625546,0.20322336,0.21176998,0.22091435,0.22834706,0.2318166,0.2299146,0.22281212,0.21301772,0.20499592,0.20292644,0.20759368,0.21561311,0.22137932,0.22011723,0.20977528,0.19174874,0.17112051,0.15500039,0.14944004,0.15573616,0.17060049,0.18798912,0.20265341,0.21107346,0.21339244,0.21305954,0.21582866,0.22531629,0.24057345,0.2564788,0.26776516,0.27194262,0.2699248,0.26446816,0.25860187,0.25456765,0.2527988,0.25182438,0.24878114,0.24203217,0.23250942,0.22403099,0.21997489,0.22102274,0.2240113,0.22518271,0.2224294,0.2167633,0.20981489,0.20261276,0.19471683,0.18554135,0.17461698,0.16186808,0.14758117,0.13257964,0.11791436,0.10420517,0.09152788,0.08004712,0.070565194,0.06393493,0.0599962,0.05733882,0.05481124,0.052670866,0.05236445,0.054573268,0.058528095,0.0627609,0.0663802,0.06919807,0.070810534,0.070799075,0.06909052,0.06683434,0.065531194,0.06606102,0.06771468,0.06846076,0.066639565,0.062127855,0.05678566,0.052504923,0.050295442,0.050251964,0.05357461,0.06293633,0.08112714,0.107868664,0.13887577,0.16752352,0.18930423,0.2039379,0.21502478,0.2259422,0.23738807,0.2464748,0.24944419,0.244386,0.2325436,0.21743578,0.20218764,0.18883453,0.1773503,0.1669833,0.156231,0.14473678,0.13337183,0.12385607,0.11698803,0.11215796,0.10805742,0.10363805,0.09831152,0.091944925,0.08479615,0.07777625,0.072041154,0.068579994,0.06766569,0.06870011,0.0707236,0.07283307,0.07473045,0.07613816,0.07677949,0.07635766,0.07539939,0.07503236,0.07627636,0.07892611,0.08165973,0.082689136,0.08094826,0.076429464,0.07060858,0.06561736,0.0634056,0.06397442,0.06549821,0.06531199,0.06236957,0.05765447,0.053524986,0.051491756,0.051609624,0.05256477,0.05297671,0.052038353,0.04985263,0.04715966,0.044949457,0.04407305,0.044878114,0.046914842,0.04906042,0.05001303,0.04933265,0.04755221,0.045934852,0.04512359,0.045083698,0.045083355,0.044824865,0.04434849,0.04401958,0.044036333,0.044665813,0.046668347,0.051286172,0.060018938,0.07360849,0.091694444,0.11221758,0.13227369,0.14857627,0.15906766,0.16292275,0.16130358,0.15599453,0.14926583,0.142228,0.13540022,0.12854533,0.12197376,0.11624462,0.11194476,0.10860305,0.104739375,0.098745234,0.090216994,0.080476165,0.071517095,0.06498509,0.06125402,0.060108762,0.060823422,0.062761046,0.065105416,0.0670717,0.06802855,0.06767779,0.06643503,0.06504819,0.06436297,0.0646277,0.065587185,0.06662651,0.06726947,0.06727562,0.06662349,0.06522452,0.063288085,0.06160452,0.061636057,0.06427286,0.06892845,0.07358255,0.07652532,0.07757704,0.07819908,0.079760045,0.082398884,0.08467422,0.085260145,0.084312,0.083528645,0.08444449,0.08643574,0.08744055,0.08580154,0.08285809,0.081887335,0.08557418,0.0927574,0.09889647,0.099413395,0.09371894,0.086318314,0.08379873,0.0902014,0.10335037,0.1160538,0.12045575,0.113839604,0.10009357,0.087814786,0.08485053,0.09397774,0.110414505,0.12447687,0.1273601,0.1172252,0.10018724,0.08657971,0.08429774,0.094868004,0.112317115,0.12733603,0.13190468,0.12399828,0.107371904,0.08942041,0.07760188,0.07697865,0.08810244,0.105759226,0.12106204,0.12617888,0.119438656,0.10525266,0.090770684,0.081656426,0.0812768,0.090006165,0.10481286,0.11897379,0.12563242,0.12241554,0.1133161,0.10567588,0.10467499,0.11127973,0.12260475,0.13510834,0.14466868,0.14800109,0.1428992,0.130924,0.116667986,0.10552745,0.09995399,0.09855675,0.09856122,0.098866425,0.10183095,0.1109845,0.12818079,0.15104353,0.17439987,0.19308174,0.20474257,0.20982604,0.21004646,0.2071054,0.20229192,0.19655989,0.18962155,0.18059082,0.16899003,0.15752138,0.15017623,0.15049045,0.15765882,0.16899377,0.18029968,0.18788482,0.18744163,0.17692842,0.15877004,0.13937266,0.12433901,0.11482922,0.10851707,0.10332253,0.098398894,0.093583904,0.08836449,0.08343271,0.08005489,0.079408325,0.081102036,0.08511108,0.09085209,0.09703573,0.099896155,0.09766284,0.09163091,0.08643361,0.08428347,0.08481777,0.08561632,0.08569738,0.08498729,0.084542386,0.08589646,0.0895423,0.093738556,0.09481726,0.09195105,0.088323,0.08815861,0.091367446,0.0936501,0.092725,0.09075254,0.0921466,0.09686618,0.101268135,0.101379365,0.09715113,0.091100834,0.085803784,0.082093924,0.07848885,0.07316198,0.065009125,0.055998933,0.048816383,0.04533747,0.044375256,0.044038177,0.043718588,0.04489618,0.048509207,0.053143557,0.055475798,0.053938687,0.050094564,0.047830295,0.04912539,0.052743807,0.05492736,0.05365892,0.050185006,0.04829819,0.04983348,0.053449795,0.05590123,0.056670595,0.057853963,0.06179147,0.06707334,0.070462056,0.07017473,0.06845483,0.068116486,0.06950655,0.06951318,0.06567206,0.0580523,0.049330067,0.041735977,0.036193516,0.032404352,0.02989714,0.028404877,0.027789662,0.02803001,0.028890772,0.029969856,0.030777348,0.031004274,0.03059037,0.029481485,0.027782159,0.025677936,0.023549052,0.0214813,0.019305825,0.01684094,0.014283231,0.0121876,0.010976493,0.01071499,0.010974758,0.011216327,0.01100453,0.010321199,0.009428912,0.008700948,0.008329284,0.008372378,0.008761915,0.009447574,0.010240418,0.010873345,0.010965197,0.010366528,0.009243738,0.008088374,0.0073173507,0.00708619,0.0072448705,0.007559518,0.007819696,0.007934899,0.007899079,0.0077441554,0.007449453,0.006997842,0.0065370593,0.0065318965,0.007652149,0.010400441,0.014513704,0.018895486,0.022023158,0.023197873,0.022838103,0.02217628,0.021851063,0.021687174,0.021142714,0.020079004,0.018853279,0.017711679,0.017067624,0.017211512,0.018572323,0.020875618,0.023884235,0.027763963,0.03326066,0.04027273,0.04705232,0.051233944,0.052066956,0.051236738,0.051642865,0.055115167,0.062080454,0.0714078,0.08092752,0.087222636,0.088009916,0.08472931,0.082493566,0.085648976,0.09317399,0.09979537,0.10152727,0.09928446,0.096312225,0.0933044,0.087876625,0.07840001,0.066544436,0.05550605,0.046505522,0.03863132,0.031165672,0.025492892,0.02427133,0.028132996,0.034679875,0.039083313,0.038992114,0.034906562,0.029996997,0.025776679,0.02301698,0.021677725,0.022034978,0.023211433,0.02355744,0.022705043,0.021964246,0.02374006,0.027824486,0.0322669,0.033671845,0.031228378,0.025751116,0.020044519,0.015906906,0.014584381,0.015806101,0.018811079,0.021755079,0.023052476,0.021952748,0.019809568,0.01877476,0.020560667,0.025153806,0.031304263,0.037752476,0.043424472,0.047905564,0.050219074,0.049753685,0.045813445,0.039387714,0.032191332,0.026548384,0.023407573,0.022521906,0.022607444,0.022463357,0.021531196,0.020168714,0.019511104,0.020672536,0.023719996,0.027370585,0.029677691,0.029930102,0.02905257,0.028579636,0.028680079,0.028010247,0.025527462,0.021627396,0.018011311,0.016107196,0.0168264,0.02043462,0.026292602,0.032555208,0.036831107,0.03818646,0.037276268,0.035470035,0.032927543,0.02944359,0.025269875,0.021878034,0.020556584,0.02185668,0.025537364,0.031391766,0.03924899,0.048686046,0.05897982,0.06944574,0.079878144,0.090343185,0.10102291,0.11211798,0.123691805,0.13546987,0.1466475,0.15669839,0.16569482,0.17414646,0.18214418,0.18896759,0.19340394,0.19327271,0.18614028,0.17005874,0.14645468,0.11959556,0.09512278,0.07639309,0.06449501,0.058694717,0.057442676,0.058053974,0.05735603,0.053749856,0.047979485,0.042436365,0.03859913,0.036414403,0.034650013,0.032613166,0.030778857,0.030818949,0.033629633,0.038227256,0.04137751,0.040754408,0.036327917,0.030950466,0.027093679,0.026040042,0.027481189,0.03151803,0.038183838,0.04703924,0.056298975,0.06382916,0.06804966,0.06834742,0.065113425,0.059543718,0.053622108,0.049029242,0.046454772,0.045094136,0.043782,0.04163885,0.038879942,0.035990875,0.033623535,0.031950656,0.031118216,0.030947981,0.031057753,0.030826122,0.029813163,0.028160334,0.026516585,0.025796443,0.02657108,0.028976804,0.032598455,0.036858093,0.041146096,0.04515514,0.048849147,0.052344456,0.05573072,0.059336215,0.06448093,0.073344655,0.08773419,0.10694542,0.12783669,0.14650519,0.16109987,0.1717733,0.17982864,0.18566929,0.18947153,0.19082691,0.19005571,0.1871671,0.18348299,0.1803631,0.18011177,0.18338001,0.19023518,0.19884562,0.20709063,0.21224765,0.21295518,0.21032943,0.20772038,0.20862752,0.21399803,0.22194952,0.22985138,0.23628181,0.24207789,0.24800245,0.25422016,0.25923023,0.26213467,0.26225302,0.25980243,0.254481,0.24664283,0.23778929,0.23096181,0.22872595,0.23068547,0.23349266,0.2326125,0.22541267,0.21124828,0.19190885,0.17064339,0.15229754,0.14023757,0.13447334,0.13078469,0.12454343,0.11366492,0.10010906,0.08725003,0.078059405,0.073461354,0.07335461,0.07580769,0.07824308,0.07739981,0.072618224,0.0653571,0.05890468,0.054839622,0.05322577,0.05282389,0.052767787,0.05240591,0.051382143,0.049811006,0.048132706,0.046850104,0.045743708,0.044560444,0.043215573,0.04222962,0.04160596,0.040796325,0.038977556,0.036293607,0.033975806,0.033742357,0.037034526,0.044528585,0.056252014,0.07134556,0.08844692,0.105971396,0.12316296,0.14024942,0.15844351,0.1777519,0.19649442,0.21082105,0.21832706,0.21840294,0.21278967,0.20226933,0.18744443,0.16946572,0.15206201,0.13930045,0.13287343,0.13031657,0.12742646,0.12146681,0.11316546,0.10564802,0.10221689,0.10404205,0.1089096,0.11258129,0.11140084,0.10552309,0.09806449,0.09330202,0.09344564,0.09851927,0.10610917,0.11293242,0.116527386,0.11761699,0.120208375,0.12841912,0.14284934,0.15900941,0.17075254,0.17406036,0.17013322,0.1632735,0.15790527,0.15512235,0.15363652,0.15188693,0.14992584,0.14808403,0.1453232,0.14008878,0.13287112,0.12740143,0.12740773,0.13281791,0.13896185,0.14082952,0.13775681,0.13501717,0.138876,0.15257646,0.17134972,0.18812303,0.19423072,0.1890073,0.17537345,0.16279443,0.15531288,0.15286721,0.14846171,0.13954984,0.12889971,0.12358718,0.12582393,0.130974,0.1316943,0.12444624,0.112212844,0.10067051,0.093702845,0.09089572,0.08910501,0.08558893,0.079847306,0.0736587,0.069275685,0.06796777,0.06926572,0.07155696,0.07372592,0.07651341,0.08242639,0.09252545,0.10531828,0.11712112,0.12678894,0.13493724,0.14281106,0.14829624,0.14859141,0.14245267,0.13307583,0.12565215,0.12447216,0.12984271,0.13873278,0.14643542,0.14932036,0.1456448,0.137037,0.1274297,0.12196653,0.12284684,0.12846078,0.1338438,0.13466829,0.12924017,0.11901304,0.10721456,0.09732122,0.0919015,0.09129223,0.09336129,0.09440255,0.09153489,0.084440626,0.0754497,0.067748554,0.06368845,0.06407391,0.06832809,0.07452762,0.07979273,0.081750095,0.080217995,0.07739813,0.07568148,0.07580471,0.07655413,0.07680622,0.07641836,0.07628148,0.077105954,0.079451285,0.083978154,0.091083355,0.09997153,0.10769937,0.110869825,0.10734546,0.09860747,0.088595755,0.08222267,0.08242628,0.0899337,0.103185795,0.11920562,0.13313934,0.13983524,0.1356268,0.121148504,0.1000554,0.07774871,0.058212917,0.04411325,0.036453214,0.037569817,0.05271593,0.088660836,0.14500403,0.20711024,0.25074935,0.26033992,0.24405326,0.2283163,0.23623377,0.26921377,0.31021369,0.3387109,0.34397864,0.3254603,0.28888237,0.24337643,0.20075138,0.17089345,0.15646112,0.15054184,0.14423054,0.13287337,0.119437106,0.10848871,0.10318842,0.1032834,0.107324,0.11295553,0.11816912,0.12196333,0.12487739,0.12789722,0.13122785,0.13437541,0.13702495,0.13995504,0.14440274,0.15132698,0.16058719,0.17120038,0.1819643,0.19213088,0.20164339,0.2106217,0.21916837,0.22735548,0.23572809,0.24504697,0.25528213,0.26543683,0.2757158,0.29046822,0.31684807,0.35555708,0.39475858,0.41359976,0.40049228,0.36258936,0.32225913,0.29907492,0.299595,0.31773925,0.34233138,0.36437377,0.37991312,0.39157638,0.40487984,0.42386195,0.44624543,0.46504387,0.47350693,0.470512,0.46003756,0.44682315,0.43321228,0.41983023,0.40778613,0.3987449,0.39364824,0.39283517,0.39582074,0.40095946,0.4030656,0.3951309,0.37224114,0.33709058,0.29934967,0.26996678,0.25342843,0.2457211,0.23789729,0.22297315,0.19949497,0.17213805,0.14746475,0.13047451,0.12106467,0.11587458,0.11108798,0.10684251,0.1073114,0.11839622,0.14244805,0.17494278,0.20437081,0.21781926,0.2078665,0.17734206,0.13696656,0.09971861,0.07510349,0.06830179,0.081177615,0.11351495,0.16192012,0.21921885,0.27665195,0.32856885,0.37539148,0.41878,0.45369825,0.46673083,0.44875097,0.40960267,0.37673703,0.37456858,0.40384892,0.44348326,0.46998715,0.4749353,0.46437538,0.4488125,0.43707022,0.4382783,0.4621227,0.5112541,0.572099,0.61695576,0.62217426,0.58648515,0.5343683,0.4958512,0.48606297,0.49870896,0.5212348,0.5482791,0.5823099,0.6226745,0.6599033,0.68210596,0.6840169,0.669231,0.6431744,0.6075556,0.56128925,0.507175,0.45513913,0.41853774,0.40582275,0.41535345,0.43687388,0.45738724,0.46741042,0.46394256,0.45038375,0.4331436,0.4178476,0.40794995,0.40509596,0.4102905,0.42195508,0.43615642,0.44765362,0.4539692,0.45488963,0.45073533,0.4390256,0.41621128,0.38064277,0.33681884,0.29524025,0.26803967,0.26112092,0.2687583,0.27721435,0.2738874,0.25631964,0.23056878,0.20518045,0.18410075,0.16734134,0.15314533,0.14099075,0.13088673,0.12282806,0.116086304,0.109862864,0.103766955,0.09826944,0.094474636,0.093673,0.09658146,0.10312203,0.11257299,0.12474382,0.14106001,0.16468006,0.19810502,0.23904498,0.27955922,0.3095208,0.32465333,0.3279666,0.32652617,0.3228447,0.31458125,0.29714537,0.2699516,0.23559421,0.1990645,0.16465952,0.13706379,0.11957993,0.114549,0.12216377,0.14262305,0.17563309,0.21968322,0.26986876,0.31860796,0.35822618,0.38367197,0.39380565,0.39011645,0.37550747,0.35291138,0.32588476,0.29837325,0.27360293,0.25179446,0.2298426,0.20409608,0.17392473,0.14285673,0.115864046,0.09588167,0.08233061,0.07269616,0.06480861,0.058036227,0.052673746,0.04902895,0.04690221,0.045959294,0.046230283,0.04829399,0.05291243,0.060227007,0.06959865,0.07989179,0.09040106,0.10077498,0.11080855,0.11977073,0.1270622,0.13262819,0.13741994,0.14251886,0.14864095,0.15653585,0.1672041,0.1811185,0.19522958,0.20447923,0.20590907,0.20506658,0.21149397,0.23061313,0.25526777,0.2727675,0.2742978,0.26249555,0.24455465,0.22575255,0.2056941,0.18398826,0.16340119,0.15017521,0.14860804,0.15803795,0.17300688,0.1885731,0.20393206,0.22071408,0.23669966,0.24319984,0.23167874,0.20287193,0.16861351,0.14297287,0.13257968,0.13468252,0.14281844,0.15250403,0.16286911,0.17402893,0.18543245,0.19443972,0.19879459,0.19767047,0.19389261,0.19148397,0.19362886,0.19962521,0.20597012,0.20820196,0.20363212,0.19181298,0.17465693,0.15509015,0.13622189,0.1195275,0.10521882,0.09277126,0.08261115,0.07552747,0.07200982,0.07112247,0.07125866,0.07090567,0.06986311,0.0687507,0.068286486,0.06795206,0.06657826,0.06348852,0.05976059,0.05757619,0.05870429,0.063532785,0.0715337,0.082812436,0.09843948,0.11918098,0.14282149,0.16361614,0.17573188,0.17873879,0.17975338,0.18757556,0.20439906,0.22277643,0.23269247,0.23075388,0.22204624,0.21428402,0.2106908,0.21022283,0.21100317,0.21328402,0.21824534,0.22573395,0.23475087,0.24367464,0.25203547,0.25863144,0.2629223,0.2648032,0.2668956,0.27234948,0.2827575,0.294745,0.30160698,0.29661065,0.27795264,0.2489043,0.21570295,0.18359567,0.15609543,0.13555495,0.1238293,0.12151855,0.12709719,0.13821462,0.1535688,0.17412065,0.20039749,0.2290566,0.25134265,0.25768396,0.24405508,0.21553314,0.18282793,0.1564303,0.14223497,0.1410964,0.14954877,0.16175373,0.17142935,0.17496657,0.17136241,0.1631039,0.15383875,0.14930294,0.15206802,0.16158597,0.17287587,0.18414927,0.19605727,0.21131961,0.2287461,0.24719913,0.26602206,0.28564504,0.30175436,0.30807483,0.30143622,0.2872208,0.2742755,0.26827773,0.2684851,0.2729135,0.28448287,0.31065977,0.3553642,0.40774015,0.44274214,0.4346968,0.37758276,0.29058388,0.2056304,0.14676647,0.120228685,0.11824194,0.12921648,0.1437198,0.15677358,0.16640852,0.17381032,0.18156874,0.1941166,0.21457775,0.24229228,0.2687342,0.28121307,0.26960066,0.2353145,0.19040614,0.151596,0.13038713,0.12988164,0.14566632,0.17054754,0.19782786,0.2219141,0.23746943,0.23848926,0.22163846,0.18969436,0.15286677,0.12251157,0.10423983,0.094959565,0.08850613,0.08180962,0.077627085,0.08075996,0.09419563,0.11658128,0.1433171,0.1683697,0.18725747,0.19859499,0.20392512,0.20475619,0.20050645,0.1889854,0.1702435,0.14875364,0.13203014,0.12550582,0.12960458,0.14083433,0.15643728,0.17615213,0.200332,0.22608757,0.24813318,0.2626175,0.2705359,0.27506718,0.27744654,0.27563658,0.26781914,0.2547885,0.23774965,0.21648915,0.19084263,0.16680129,0.15380579,0.15843546,0.17524207,0.19290076,0.20181878,0.20267056,0.20010741,0.19814843,0.19578354,0.19210047,0.1880718,0.18687417,0.18890367,0.18993278,0.1837495,0.16894852,0.1530279,0.14694218,0.15584056,0.17285234,0.18653692,0.1904841,0.18880975,0.1886516,0.19269632,0.1968861,0.19627304,0.18982923,0.18042006,0.17168488,0.16596228,0.16445577,0.16662133,0.1694565,0.16767812,0.15770924,0.1399271,0.119014956,0.1000441,0.08703736,0.08176076,0.084109455,0.09109822,0.09812092,0.101681136,0.10181729,0.10144246,0.10323522,0.10855278,0.11789099,0.1319723,0.14984955,0.16728985,0.17832293,0.17983149,0.1751224,0.17063014,0.16955543,0.16754718,0.15732002,0.13618217,0.10996745,0.088118255,0.076304786,0.07280343,0.07223335,0.071506895,0.07329535,0.0827293,0.10172526,0.124701284,0.14242373,0.14868806,0.14552914,0.13930155,0.13442864,0.13020846,0.124766566,0.11895305,0.115757674,0.116666235,0.12086109,0.12753032,0.13761215,0.1510256,0.16440982,0.17174327,0.16985138,0.16108191,0.15182039,0.14738275,0.14874826,0.15366751,0.15880334,0.16255991,0.16433574,0.16488124,0.16431306,0.16271104,0.15896219,0.15279555,0.14448453,0.13628082,0.13034113,0.12915264,0.13411765,0.14582531,0.16163294,0.17507304,0.17878158,0.17106748,0.160159,0.15797949,0.16927715,0.18625532,0.19762595,0.20067485,0.20310499,0.21370955,0.23458707,0.26238135,0.29170597,0.31385145,0.31655085,0.2903705,0.23845808,0.17717773,0.12667145,0.10054829,0.101254605,0.12197554,0.15012614,0.17310004,0.18380232,0.18186158,0.17076133,0.15270798,0.12945326,0.10386425,0.08186465,0.06875091,0.066556625,0.07271326,0.08269438,0.092642576,0.10103977,0.10827144,0.11487847,0.12014767,0.121721216,0.11764296,0.10821518,0.097094245,0.08898497,0.087135196,0.09120738,0.09826226,0.10468703,0.108512975,0.109967746,0.110658236,0.11193939,0.114142716,0.116660625,0.11891779,0.12052963,0.12188641,0.1233569,0.12525319,0.12636197,0.12509035,0.12047144,0.11456681,0.11082432,0.11182874,0.11648065,0.121847056,0.1259253,0.129745,0.13515075,0.14164966,0.14559491,0.14336218,0.1356487,0.12788855,0.12655436,0.13378815,0.1462266,0.15757518,0.16354714,0.1636761,0.16087897,0.15846156,0.1587797,0.16213755,0.16765647,0.17350148,0.17850554,0.18218303,0.18485357,0.18548553,0.1822359,0.17325725,0.15984583,0.14563245,0.13521504,0.13130684,0.13434012,0.14302047,0.15471049,0.1669976,0.17754531,0.18574513,0.19115318,0.19443776,0.19555748,0.19511431,0.19297439,0.1904061,0.18934716,0.19364758,0.20572066,0.22405571,0.24122512,0.24715911,0.23625062,0.21086122,0.18069507,0.15553683,0.14142855,0.1384728,0.142848,0.14916606,0.1529761,0.15297575,0.15003134,0.14592206,0.14161158,0.13834065,0.13807665,0.14209527,0.14895242,0.15441968,0.15528883,0.15206476,0.14856571,0.14850889,0.15261222,0.15882689,0.16422158,0.16788898,0.1716662,0.17773384,0.18578398,0.19167213,0.1914913,0.18403739,0.17240767,0.16066636,0.15235405,0.14850153,0.14800765,0.147905,0.14564954,0.14104992,0.13727133,0.13858682,0.14737207,0.16203623,0.17883463,0.19515443,0.21002455,0.22255117,0.22953361,0.22959493,0.22454731,0.22035567,0.22005449,0.22321068,0.22537625,0.22367902,0.21757634,0.20952149,0.20232266,0.19677079,0.19239621,0.18907143,0.18926609,0.19447823,0.20235752,0.206089,0.1996175,0.18239981,0.160161,0.1403919,0.12742057,0.120926015,0.11886909,0.120095275,0.12409588,0.12871923,0.1304429,0.12721829,0.12076222,0.11528051,0.11455039,0.121000685,0.13778828,0.17051286,0.22360106,0.2923315,0.356696,0.38914004,0.37127784,0.3099052,0.23193188,0.16952796,0.14340581,0.1614102,0.21560542,0.28315273,0.32972744,0.3307146,0.28760722,0.22695415,0.17712866,0.14946961,0.13749838,0.12970322,0.119849734,0.108149625,0.09835919,0.09650447,0.11081763,0.14866687,0.20820153,0.2733831,0.31873634,0.32593545,0.29484,0.24267244,0.18982054,0.14952481,0.12504554,0.11415038,0.113131285,0.1181525,0.12571786,0.13222755,0.1350611,0.13289843,0.12678064,0.11924978,0.11310052,0.1096176,0.10841737,0.10831096,0.108425975,0.10833909,0.1080061,0.107288636,0.10634387,0.10519885,0.1041575,0.10348087,0.103546925,0.10465136,0.10681517,0.11042405,0.11561326,0.12227112,0.12873058,0.1329847,0.13356562,0.13080534,0.12607594,0.12064714,0.11521391,0.11005012,0.10562182,0.10251949,0.10120853,0.101866476,0.104114085,0.107244544,0.11003303,0.11137704,0.11050222,0.10776522,0.10443053,0.10246124,0.10314867,0.10641003,0.110630155,0.11412256,0.11645297,0.11823362,0.11990001,0.12046221,0.11895564,0.115479,0.112095565,0.11035046,0.110279076,0.10969132,0.10683311,0.101423584,0.09533241,0.09045172,0.08767616,0.086125575,0.08445764,0.08171636,0.07849147,0.076271385,0.07670488,0.07992492,0.08486592,0.08999965,0.094976984,0.099991135,0.10492463,0.10833609,0.10869602,0.105451085,0.09959054,0.092535086,0.08519939,0.07776862,0.07026508,0.06321774,0.057433415,0.05378436,0.052302763,0.05261645,0.05399402,0.056911495,0.06239468,0.07137615,0.08250002,0.09290812,0.09992879,0.10310916,0.103720166,0.10289178,0.10055711,0.09598905,0.08906955,0.08086487,0.07285059,0.066631265,0.06349516,0.06506118,0.07229879,0.08503041,0.100558065,0.11476016,0.12314812,0.12403938,0.11867102,0.111067295,0.10412853,0.09917876,0.09539641,0.09260404,0.090684034,0.08985912,0.0893377,0.08855594,0.086937636,0.08488238,0.08316099,0.08330891,0.08600927,0.090515815,0.094963424,0.098798394,0.10353729,0.11100551,0.1205644,0.1293449,0.13459747,0.13534643,0.13163234,0.1233958,0.11144007,0.09785122,0.08569783,0.07649955,0.07002407,0.06482864,0.06007197,0.05575536,0.052420855,0.050638307,0.050888058,0.053703338,0.05904746,0.065868236,0.07170441,0.07419763,0.072206266,0.06692321,0.060634363,0.05563842,0.052846435,0.052132536,0.05289727,0.055111647,0.058970433,0.06445229,0.070337474,0.07505656,0.07723519,0.076942615,0.07507526,0.07307281,0.07189631,0.071941264,0.07287219,0.07406052,0.075039275,0.0759492,0.077314824,0.079477675,0.08210672,0.08433441,0.085198544,0.08386446,0.0801257,0.074754424,0.06990791,0.06786095,0.06968468,0.074115634,0.07890436,0.08239532,0.08538256,0.09066498,0.10186734,0.120933674,0.14775133,0.18145461,0.2218523,0.26681128,0.30813715,0.3330569,0.33239436,0.30893573,0.27625397,0.2536579,0.25920632,0.30436623,0.38281047,0.46652412,0.5183679,0.5200322,0.4888456,0.46361485,0.47044644,0.500024,0.5167699,0.491267,0.42459342,0.3503519,0.30846563,0.3190653,0.3679576,0.42334104,0.4604647,0.47784233,0.48546633,0.48475823,0.4637486,0.41300675,0.3424604,0.27858022,0.24723007,0.2614412,0.31801012,0.4029161,0.49247968,0.5623379,0.5941806,0.5851577,0.5454262,0.4919995,0.43929026,0.39367175,0.35537255,0.32220915,0.29532972,0.27578738,0.26489934,0.26173162,0.26725242,0.27983993,0.29449552,0.30250677,0.2987298,0.284616,0.26683196,0.25200343,0.24279237,0.2365386,0.22738074,0.21191414,0.19331819,0.18020134,0.17854233,0.18698855,0.19757801,0.20422922,0.20655851,0.20902853,0.21364076,0.2171068,0.21334602,0.20018487,0.1824385,0.1682813,0.1624258,0.16196243,0.15942681,0.14965084,0.13464187,0.121437095,0.11596584,0.11830325,0.12400339,0.12809244,0.12849462,0.12540945,0.12053039,0.11584767,0.114064075,0.11634144,0.12120051,0.124467246,0.1232903,0.11886007,0.115447104,0.11624683,0.12013271,0.12311273,0.12159824,0.11553175,0.10795895,0.10324594,0.10455707,0.11297349,0.12763235,0.14630963,0.16523822,0.17911093,0.18274672,0.1745431,0.15817033,0.14118446,0.13032371,0.12857015,0.13410191,0.14283931,0.1512661,0.15846604,0.16524017,0.17180018,0.17756395,0.1821534,0.18652718,0.19091542,0.19449021,0.19579227,0.1944414,0.18984021,0.18059362,0.16594274,0.14773932,0.13019718,0.11587891,0.10483825,0.09515062,0.08686766,0.081458576,0.0812475,0.086512536,0.095273644,0.103539556,0.107459955,0.1055083,0.099230476,0.09187592,0.08602223,0.08245712,0.081323855,0.083645485,0.09173188,0.106904246,0.127434,0.14800562,0.16268778,0.16777855,0.16433017,0.15637039,0.14900957,0.14405377,0.14140867,0.13959135,0.14008188,0.1439309,0.15208434,0.16251491,0.17470966,0.18857718,0.20589496,0.22767593,0.25401726,0.28160822,0.30360284,0.31392828,0.3134984,0.3117528,0.31905064,0.33794126,0.36086082,0.37653157,0.37700364,0.36127463,0.33369172,0.30151477,0.27116647,0.24613649,0.22631375,0.21010815,0.19634585,0.18406534,0.17186004,0.15860021,0.14625567,0.13949452,0.14187308,0.1508463,0.15959077,0.16295022,0.16440809,0.17285492,0.19744241,0.23880108,0.28966972,0.33381662,0.35318995,0.33502614,0.28183234,0.2111259,0.14505076,0.098347075,0.073235326,0.0655317,0.07120028,0.08984239,0.12030587,0.15730272,0.19239227,0.21996659,0.24053161,0.2564549,0.26796597,0.2724917,0.26975927,0.26264593,0.25503722,0.24921805,0.24504729,0.24120997,0.23408486,0.21949984,0.19464682,0.1622268,0.12974769,0.10592112,0.09524762,0.096681975,0.10549694,0.11673719,0.1265576,0.13241152,0.13250019,0.12602371,0.11379722,0.09859824,0.08494527,0.07694394,0.07632933,0.08098278,0.08676798,0.09002089,0.089749075,0.08723522,0.08479703,0.084661335,0.08823306,0.09523731,0.10319802,0.108489014,0.10886849,0.10510797,0.10035509,0.09747846,0.09737306,0.09895349,0.10073929,0.102048986,0.10361218,0.1068351,0.11274596,0.12054198,0.12779577,0.13156201,0.13072054,0.12657939,0.122250736,0.12014129,0.120658875,0.12174011,0.12058238,0.115020566,0.10530845,0.093734324,0.08380253,0.077940784,0.07672855,0.07860709,0.08136319,0.083223306,0.084467314,0.0870199,0.0933961,0.103868775,0.11595994,0.12515986,0.12800057,0.12386084,0.115674146,0.10839277,0.106063105,0.10938498,0.11512201,0.11920947,0.119252585,0.115739435,0.10946689,0.10116929,0.091843255,0.084906064,0.08450672,0.09360231,0.11184295,0.13658269,0.16331689,0.18665843,0.20164096,0.20666374,0.20462756,0.20040263,0.19658262,0.19207203,0.18539393,0.17921017,0.1806966,0.19636007,0.22553264,0.2593976,0.28690156,0.3009673,0.3006049,0.2885748,0.27074143,0.2545218,0.24607413,0.24735975,0.2561027,0.26863503,0.27863836,0.27915516,0.26604807,0.24613015,0.23463756,0.24713616,0.28913832,0.35421327,0.42504635,0.47814417,0.49262497,0.4647113,0.41289783,0.36565006,0.33970186,0.33201584,0.3336749,0.3447927,0.3738041,0.41965353,0.4648424,0.48717758,0.48057464,0.4601954,0.44729224,0.4508777,0.46165848,0.46181032,0.4376382,0.38794613,0.32363042,0.2614285,0.21550822,0.19309413,0.19378126,0.21104144,0.23193534,0.24217893,0.23322046,0.21001484,0.18682642,0.17875314,0.19278373,0.2292151,0.28218412,0.34085765,0.38544717,0.39594874,0.36378634,0.30582252,0.25686267,0.24900524,0.28780875,0.34971595,0.40204477,0.42590976,0.42305303,0.40187314,0.36681643,0.3178959,0.26072887,0.20647085,0.16745496,0.14976937,0.1547374,0.17985438,0.22061944,0.26862106,0.31239045,0.33947477,0.3411202,0.31567964,0.26931435,0.21319664,0.15918806,0.11591366,0.08667173,0.06971492,0.060908902,0.056505647,0.054315146,0.053172812,0.052502364,0.052413493,0.053459197,0.05571566,0.059025556,0.06381451,0.072221674,0.08527738,0.10114322,0.11384309,0.118446685,0.11371174,0.10371471,0.09326062,0.08526176,0.079179175,0.073031016,0.06546417,0.057326484,0.051638212,0.052272867,0.06086157,0.0758092,0.09204558,0.10557592,0.11427316,0.11905847,0.120159484,0.1174435,0.11042535,0.100628644,0.09102174,0.084685296,0.08261914,0.083346546,0.08394966,0.08219492,0.077765256,0.07232999,0.06826434,0.06728167,0.069438815,0.07325944,0.076742835,0.0787141,0.07944934,0.08009648,0.08149823,0.08356611,0.085447066,0.086338244,0.085651726,0.0835168,0.08040977,0.07765902,0.07629335,0.07696103,0.07864862,0.07985669,0.07894217,0.075793,0.07121123,0.066671066,0.063130215,0.061196223,0.061080705,0.06302133,0.06712804,0.07333975,0.0807578,0.08766323,0.09186256,0.09234521,0.08968503,0.08581226,0.08223156,0.07978947,0.078778364,0.079816796,0.0831545,0.08819708,0.09314743,0.0960834,0.09552395,0.09115511,0.0836784,0.07505114,0.06754347,0.062826104,0.060923073,0.060779925,0.06128374,0.062232733,0.0639034,0.066361584,0.06891044,0.070643954,0.07114113,0.071202,0.07279871,0.077964455,0.08722094,0.0985292,0.10843899,0.113947414,0.114083536,0.10963351,0.10257401,0.09522813,0.08990904,0.087775856,0.088582255,0.09065441,0.09242312,0.09301422,0.09278837,0.09249109,0.092814,0.09366211,0.09455505,0.09527976,0.09693765,0.10130342,0.109414704,0.11974567,0.12903845,0.13383734,0.13285951,0.12668431,0.117595054,0.108027816,0.10032917,0.09561002,0.09378647,0.09369572,0.09412277,0.09453135,0.09546673,0.098224275,0.104019634,0.11286795,0.123089194,0.13193099,0.1372462,0.1388409,0.13808315,0.13649555,0.13477387,0.13464147,0.14173366,0.1673342,0.22358458,0.31272194,0.4161613,0.4962925,0.5158239,0.46244967,0.35854247,0.24507509,0.15595463,0.1020002,0.07578792,0.0644955,0.059876606,0.059195314,0.06318493,0.07520393,0.10240693,0.1548646,0.2386276,0.3459269,0.45031357,0.51663595,0.519592,0.46063426,0.36554435,0.26924184,0.19516541,0.1489418,0.122636825,0.1062874,0.09395944,0.08445447,0.07859532,0.07637996,0.07639112,0.07598584,0.073619455,0.06974068,0.06687785,0.06711,0.07074731,0.0754733,0.078463495,0.077414446,0.07247583,0.065032735,0.057587594,0.052009482,0.049804125,0.051118765,0.054752063,0.058238164,0.059316304,0.057330336,0.05333833,0.049140077,0.046190575,0.045479562,0.047794405,0.05350393,0.061976507,0.071146786,0.07828338,0.08136941,0.08032706,0.077130914,0.07466322,0.07549707,0.08053582,0.08871844,0.096793175,0.100847475,0.09812856,0.089198895,0.07796371,0.07011042,0.07008261,0.07849886,0.09125453,0.10203087,0.10614278,0.10406757,0.10087311,0.104747325,0.122947134,0.15877199,0.20760258,0.25772718,0.29455715,0.30727687,0.29302213,0.25744054,0.21224117,0.16990213,0.13883863,0.120506585,0.11162139,0.10694265,0.10360041,0.102838315,0.112119,0.13979214,0.1874963,0.24270415,0.28430006,0.29509944,0.27333444,0.23128904,0.18636598,0.15396522,0.14714114,0.17723648,0.24628963,0.33663657,0.41038692,0.4307996,0.3887892,0.312063,0.2432952,0.21196489,0.22381239,0.27469546,0.35900864,0.4631056,0.55050087,0.5774243,0.5230337,0.41732946,0.32038248,0.2852117,0.32138655,0.40087438,0.4793488,0.5230425,0.5169743,0.4663312,0.3892473,0.30965823,0.24565907,0.20648879,0.19172736,0.19799216,0.2192453,0.2498091,0.28319672,0.3133872,0.33431008,0.34217635,0.3366915,0.31955314,0.29140246,0.25273284,0.20768277,0.16559055,0.13607219,0.123539925,0.12518005,0.13433087,0.1444155,0.15196757,0.15655963,0.15949637,0.1625225,0.16829212,0.17960286,0.19625746,0.212029,0.21692823,0.20403366,0.17463453,0.13717584,0.10193806,0.07637768,0.06386026,0.06370448,0.07214049,0.08276039,0.08945856,0.08885315,0.08262926,0.075455,0.0721823,0.07387478,0.07800585,0.08002456,0.077337384,0.07023821,0.061445337,0.053542767,0.048056975,0.047047745,0.055772632,0.08319474,0.1359961,0.21151023,0.29890403,0.38592565,0.46479002,0.5226771,0.54057837,0.5010522,0.40964076,0.29498354,0.19212686,0.12049117,0.07959672,0.059480574,0.05120896,0.05027431,0.053817466,0.059084166,0.06356169,0.06594186,0.06557683,0.06250125,0.057778463,0.054572117,0.055967275,0.06262917,0.07094446,0.07635623,0.07641315,0.07277573,0.06858062,0.06615398,0.06593505,0.067530036,0.07076488,0.075093396,0.07949852,0.08237228,0.08358004,0.08423066,0.08606413,0.08867123,0.089802325,0.08653685,0.078481495,0.06831808,0.06108759,0.060676426,0.06759554,0.07823107,0.08778664,0.09320283,0.09472304,0.09454494,0.09469136,0.09562694,0.09605952,0.094242655,0.08950203,0.08318865,0.07781752,0.0754657,0.0765844,0.07999853,0.0834237,0.08474457,0.08312264,0.07982806,0.077367276,0.07798591,0.08220938,0.08837921,0.093478955,0.09464571,0.09101739,0.08403316,0.07653516,0.07096293,0.06848536,0.06875685,0.07047697,0.07197804,0.072406046,0.07226019,0.07322583,0.07631561,0.08051782,0.08288831,0.08098004,0.07521432,0.06882535,0.065649115,0.06728497,0.07299455,0.080629736,0.08820734,0.093712516,0.0953005,0.09203139,0.08497274,0.07723642,0.07201435,0.07082039,0.07235672,0.07405177,0.07405778,0.0729137,0.07272909,0.07458814,0.07749304,0.07902091,0.07845164,0.07693615,0.076527655,0.077655025,0.07926745,0.08040714,0.081598245,0.0843234,0.088794045,0.09312018,0.09433729,0.09100762,0.083860345,0.075471364,0.068048306,0.06321044,0.061322827,0.06257686,0.066628285,0.072220676,0.077156074,0.079391874,0.07964424,0.08081164,0.085396044,0.0919499,0.09604907,0.094540305,0.08840523,0.0816756,0.077122174,0.07465636,0.07238763,0.06958904,0.067249365,0.066854686,0.06858519,0.0713808,0.07435585,0.07756654,0.08122181,0.08391839,0.0830262,0.07658658,0.06585439,0.05474023,0.047415245,0.04524183,0.046609182,0.048683647,0.050200447,0.051780898,0.055658493,0.06503979,0.08510832,0.12028169,0.16802259,0.2141233,0.23912613,0.23326157,0.20533162,0.17525549,0.15724058,0.15112369,0.14749087,0.13897876,0.12490218,0.10948458,0.09706205,0.0926859,0.103330076,0.1368362,0.19243671,0.2540991,0.2949994,0.29585537,0.25881195,0.20526783,0.15867618,0.13041347,0.118352294,0.11550754,0.117497005,0.123317145,0.13180083,0.13963753,0.14263034,0.13890997,0.13026522,0.12152844,0.11793973,0.12350061,0.13944314,0.16423059,0.19218595,0.2151391,0.22459404,0.21745056,0.19725454,0.17278393,0.15183948,0.13788396,0.13010204,0.12679851,0.12815042,0.13565052,0.15058286,0.17029859,0.18919621,0.19949387,0.1988371,0.19035892,0.18279697,0.18191622,0.19013245,0.2085586,0.2439264,0.30770075,0.4045302,0.5179002,0.60728,0.62982136,0.56975305,0.45207083,0.32387662,0.22513734,0.17206366,0.16377574,0.192259,0.24779123,0.31579408,0.3801092,0.42608455,0.44850537,0.450518,0.4406297,0.42248592,0.392562,0.3457737,0.28638488,0.23041199,0.19534917,0.18683518,0.194459,0.20190573,0.20066518,0.19519545,0.19469339,0.20418555,0.22163214,0.24374469,0.2672044,0.28945303,0.3074096,0.32005966,0.32632867,0.3221103,0.30041298,0.2579818,0.20153625,0.14537962,0.10314345,0.080477014,0.075566016,0.0828071,0.09704559,0.11390451,0.13012916,0.1428238,0.15139537,0.15851343,0.16958104,0.18805225,0.21142562,0.23209564,0.24245362,0.23933865,0.22364374,0.19827543,0.1670273,0.13523594,0.10879609,0.091753274,0.08436731,0.08392984,0.08701704,0.09107872,0.09461865,0.096862756,0.09760273,0.09714233,0.095943205,0.09456986,0.093637235,0.09423911,0.09776285,0.10563039,0.118065394,0.13344398,0.147866,0.15708168,0.1581613,0.15196563,0.14197157,0.13292867,0.12741749,0.12591165,0.12731226,0.13112366,0.13767727,0.14718078,0.15835345,0.16751486,0.17044847,0.16471018,0.15196396,0.13668793,0.12398619,0.117282756,0.11823534,0.12649316,0.13985954,0.1539587,0.16438662,0.16837867,0.16697676,0.16356002,0.16217904,0.16495746,0.1714923,0.17968392,0.18699066,0.19246131,0.19648588,0.2008181,0.20618969,0.2124256,0.21789438,0.22163056,0.22297959,0.2222683,0.21931829,0.21391475,0.20549977,0.1942166,0.1812775,0.16905536,0.16037582,0.15692736,0.15855207,0.16319276,0.16867252,0.17401552,0.17996882,0.1877429,0.19712044,0.20586962,0.21091418,0.21143515,0.20982261,0.21001063,0.21361132,0.21871682,0.22192542,0.22139914,0.21780658,0.2127703,0.20707975,0.19983833,0.18884854,0.17234325,0.15043806,0.12642647,0.10479719,0.08947924,0.0811674,0.07817865,0.077404864,0.0765932,0.07497659,0.07302346,0.07179887,0.0720446,0.074896626,0.081479214,0.09330389,0.11029345,0.13087846,0.15125237,0.16745037,0.17558767,0.17419012,0.16443174,0.15083267,0.13807625,0.12862393,0.12164489,0.11553177,0.11013442,0.10671809,0.10693494,0.11174192,0.1214759,0.13455798,0.1473117,0.15523936,0.15627483,0.15207665,0.14641857,0.14250652,0.14135805,0.14249326,0.14415054,0.14473216,0.14311485,0.13982423,0.13608517,0.13300163,0.13130283,0.13153015,0.13436413,0.13904506,0.14307606,0.14297493,0.13704054,0.12681802,0.11585587,0.10701761,0.100352466,0.09426517,0.08732304,0.080115184,0.074212454,0.07101494,0.07015709,0.07025105,0.06988874,0.068924494,0.06785257,0.066473186,0.06353375,0.057896014,0.05067453,0.044639487,0.04253791,0.044518527,0.04884706,0.05308545,0.055957675,0.056972172,0.056232598,0.05376242,0.05008401,0.04634975,0.04462361,0.04662064,0.05364253,0.066288486,0.0862323,0.11382097,0.14799316,0.18468529,0.22088444,0.2524519,0.27292025,0.27251688,0.24601124,0.19898343,0.14628042,0.10237334,0.07366178,0.058591332,0.05274086,0.05255796,0.055927757,0.06114523,0.066869706,0.07244297,0.07804197,0.08367386,0.088816255,0.09235976,0.093617976,0.09227385,0.08852021,0.08295074,0.077446245,0.075046815,0.07902268,0.09027925,0.10654965,0.12268398,0.13410304,0.1385759,0.13715392,0.13204952,0.12546591,0.11951119,0.116502345,0.11811233,0.123285174,0.12839074,0.12988974,0.12745538,0.124323435,0.123965,0.12733261,0.13225867,0.13689171,0.14104487,0.14588319,0.15051647,0.15279146,0.15126385,0.14777122,0.14560463,0.14729367,0.15411007,0.16661368,0.18482447,0.2067451,0.23121965,0.26156577,0.30651125,0.3710655,0.44551027,0.50449866,0.52081424,0.48432907,0.40806988,0.31949255,0.24349423,0.19237204,0.16538316,0.15544094,0.15622897,0.1651876,0.1828248,0.21011554,0.24680854,0.2889377,0.32626808,0.3453311,0.3404261,0.3228712,0.31403312,0.32611468,0.3509301,0.3681873,0.3630676,0.33420146,0.29191783,0.2503304,0.22134657,0.20711066,0.19992651,0.18935682,0.1728171,0.15788287,0.15568013,0.17425871,0.21593887,0.2771561,0.3470818,0.40840182,0.44525948,0.45269266,0.44309643,0.4381247,0.45414087,0.4880092,0.52041006,0.53341824,0.5220804,0.49233958,0.4449931,0.37967828,0.30197504,0.2335632,0.19681837,0.20414276,0.25048253,0.3212421,0.39498213,0.44887713,0.46354175,0.43328834,0.36886385,0.29283306,0.22674125,0.18183799,0.15662082,0.14329459,0.13487338,0.12908807,0.12586534,0.124679506,0.12312769,0.11942335,0.11371391,0.10860006,0.10650218,0.1078541,0.11016503,0.110632755,0.1088193,0.10843411,0.115244426,0.13337517,0.1611418,0.19034523,0.20992978,0.21263729,0.19929732,0.1770004,0.1534031,0.13211034,0.11317719,0.095717855,0.08021852,0.067790456,0.059355807,0.05489458,0.054318402,0.05739531,0.06376981,0.07217207,0.08104076,0.08870023,0.09410126,0.09629297,0.09506887,0.090906195,0.085574925,0.08093136,0.07845313,0.0782597,0.079393245,0.079789706,0.07740926,0.07170675,0.06468829,0.060058504,0.060727615,0.06676278,0.0751596,0.08177757,0.08370247,0.08075517,0.07483379,0.06845431,0.06318609,0.05982846,0.058747638,0.0604285,0.06485341,0.07116031,0.0778298,0.083642,0.08839154,0.09218228,0.09431412,0.09319989,0.08806666,0.08071899,0.07463366,0.07261631,0.074480094,0.07822529,0.08214135,0.086548865,0.0924418,0.09929552,0.10455563,0.10561937,0.102554955,0.0979324,0.094578505,0.093259685,0.093149655,0.09477705,0.102007896,0.12143495,0.15559842,0.19856726,0.23448174,0.2498603,0.24223353,0.22639205,0.219998,0.23308973,0.25841334,0.28297406,0.29600564,0.29755962,0.2934325,0.29326543,0.30550513,0.33294678,0.36743608,0.391719,0.39199862,0.3675966,0.33185193,0.29990485,0.28032228,0.2724013,0.27123284,0.2713313,0.2688508,0.26217327,0.2515001,0.23822032,0.22280502,0.20539801,0.18573684,0.165076,0.14446332,0.12504368,0.10736101,0.094008006,0.08995137,0.102494635,0.13759935,0.19691487,0.27517483,0.3602327,0.4343846,0.47768888,0.4753425,0.42606512,0.34529498,0.25907418,0.19075912,0.15372194,0.14614129,0.15658009,0.16687535,0.16561504,0.15124612,0.13282238,0.11842785,0.11129814,0.10987329,0.11125902,0.11229014,0.109528184,0.10211902,0.09162205,0.08093926,0.071139544,0.062847205,0.05696706,0.05506936,0.056803524,0.059800774,0.060845096,0.05865264,0.054084186,0.049219936,0.045173094,0.042190205,0.04043503,0.041218,0.045394495,0.052347455,0.06174232,0.07701737,0.10462356,0.14336388,0.1799637,0.19327676,0.17534767,0.13518088,0.093957365,0.06440046,0.048855964,0.041365672,0.038754012,0.041054048,0.051279634,0.06871402,0.08858747,0.10236904,0.10680393,0.103756525,0.09909198,0.09413635,0.08781797,0.07880477,0.06909258,0.060903803,0.054485187,0.048580755,0.042631138,0.038037732,0.03680566,0.039680462,0.045432672,0.051122397,0.054251548,0.05344263,0.049470793,0.043955687,0.038889464,0.03540137,0.033816602,0.035107423,0.043010965,0.06422844,0.1022098,0.14922744,0.18636076,0.19546272,0.17474973,0.13861407,0.10569414,0.0835707,0.06966425,0.05899186,0.051882055,0.05252147,0.06207912,0.07636308,0.08629093,0.086511195,0.07663644,0.06342882,0.05348891,0.052064564,0.057507444,0.06438284,0.06486168,0.056542616,0.042539895,0.03016138,0.024353819,0.02641595,0.034289107,0.04465725,0.05459265,0.062352344,0.06843683,0.07335255,0.0766641,0.07647491,0.072038464,0.06428155,0.055003926,0.04602256,0.0390254,0.037621234,0.047763854,0.077820875,0.1306675,0.19465788,0.24301142,0.24984019,0.21169128,0.14932837,0.092535116,0.058156326,0.04744768,0.051575217,0.06176247,0.07165227,0.07884627,0.084390074,0.09130623,0.10188102,0.11472308,0.12580483,0.13067079,0.12884097,0.12268444,0.11618499,0.11140481,0.109567165,0.110761225,0.114229165,0.1177507,0.11887408,0.11706153,0.11383162,0.11170671,0.11173601,0.11333563,0.11480123,0.1152895,0.1151235,0.11541385,0.11654204,0.118204586,0.11993843,0.12182382,0.12340507,0.122979015,0.11832044,0.1097609,0.104237385,0.114159524,0.1518606,0.2137285,0.277786,0.3097646,0.29267713,0.2349477,0.16766286,0.11649161,0.0929555,0.091643,0.102315925,0.113001466,0.116224594,0.10908445,0.09493586,0.078946315,0.06661658,0.061513394,0.06429842,0.07136116,0.07642981,0.07555133,0.06980567,0.06368213,0.060606364,0.062077206,0.068927325,0.081537664,0.096536584,0.106619984,0.10493079,0.092104785,0.075995274,0.06575727,0.064220905,0.06761839,0.07003965,0.06867715,0.06445717,0.05959828,0.0554776,0.052469198,0.051153783,0.05168734,0.053485602,0.05455761,0.053815026,0.051149473,0.04788352,0.044735286,0.042165864,0.03999905,0.038186423,0.036484372,0.035299364,0.037524104,0.049740344,0.07970143,0.12693577,0.17764522,0.20895244,0.2073424,0.17797168,0.14080875,0.11314496,0.10170704,0.10444587,0.11622486,0.13001458,0.13680097,0.13055973,0.11239215,0.09040355,0.073126435,0.06600287,0.07181523,0.09203415,0.124798216,0.15942465,0.18016486,0.17347865,0.1418301,0.09939065,0.06434388,0.04375041,0.03572245,0.033856943,0.035068028,0.038530353,0.044412013,0.052248772,0.061645847,0.070673674,0.076248504,0.07462695,0.0659687,0.054024037,0.044774413,0.04140949,0.044266198,0.051492166,0.06138805,0.071576126,0.07874817,0.07965305,0.07566735,0.07502528,0.08902043,0.120139964,0.15615286,0.17559393,0.16610014,0.13356683,0.098571174,0.08024395,0.08520177,0.104714036,0.12181147,0.12262288,0.10534594,0.079275705,0.05643585,0.042954896,0.03888227,0.041067902,0.046192262,0.051168308,0.05438293,0.057101894,0.06251194,0.072638,0.08491834,0.09310675,0.09137433,0.079576276,0.0631504,0.04929434,0.04155867,0.04001249,0.043479707,0.052138314,0.06512902,0.0795702,0.0912408,0.09938661,0.106942564,0.11701896,0.12808083,0.13452338,0.13231389,0.122039676,0.10844139,0.09747616,0.09596776,0.11101105,0.1429418,0.18141256,0.20647162,0.20548643,0.18065451,0.14849445,0.12331929,0.11114341,0.110936195,0.12251661,0.1468537,0.17880245,0.2058111,0.21229292,0.19527455,0.16409881,0.13581805,0.118857235,0.1133231,0.11334621,0.11589373,0.12035044,0.12775378,0.13840415,0.15205376,0.16814215,0.18516599,0.20093781,0.21275277,0.21993232,0.22354037,0.22596443,0.22841011,0.23105967,0.23292603,0.23338133,0.23096718,0.22457443,0.2119449,0.19405264,0.17488267,0.16286655,0.16317154,0.17455493,0.18838145,0.19755866,0.20294614,0.21452516,0.24091232,0.27954492,0.3146801,0.330037,0.32161728,0.29975316,0.2788789,0.26651537,0.2628032,0.26363647,0.26578534,0.26543686,0.26015773,0.24842626,0.23171067,0.21285225,0.19420278,0.17700708,0.16070677,0.14603789,0.13304372,0.12218409,0.11176806,0.10148325,0.092325516,0.08709683,0.08686432,0.09014333,0.09387081,0.09621944,0.09749577,0.09856477,0.09894526,0.09656573,0.09002608,0.079874806,0.06852175,0.05815288,0.05014053,0.044832703,0.04218099,0.041445106,0.041560996,0.041588735,0.041654777,0.04282221,0.047192443,0.056759227,0.073595434,0.09994376,0.13942887,0.19494216,0.26083705,0.31844872,0.3413075,0.3162282,0.25454286,0.18670325,0.13776773,0.11436951,0.10681915,0.10340285,0.097778656,0.0902917,0.08418643,0.08361914,0.08933363,0.09869021,0.10577294,0.10810123,0.10660213,0.1054397,0.105990805,0.108126014,0.11153615,0.1186498,0.13068742,0.14514452,0.1550623,0.15548432,0.1460495,0.13137826,0.11587783,0.102532655,0.092594266,0.08764431,0.08943386,0.09926787,0.115738906,0.13391781,0.14665227,0.14884035,0.14092807,0.12863299,0.11956316,0.1183668,0.124830365,0.13417788,0.14066142,0.14096339,0.13582748,0.12915148,0.124803364,0.12492823,0.12914346,0.13667078,0.14679842,0.15885864,0.17134552,0.18450701,0.20199637,0.2287996,0.26200363,0.28828284,0.29024264,0.2640536,0.2232688,0.19083457,0.17861675,0.18242262,0.187647,0.18487824,0.17393696,0.16104133,0.14992857,0.1404541,0.13126634,0.12406882,0.12192889,0.12510252,0.12901568,0.12807839,0.12025385,0.10863458,0.09794351,0.09112104,0.087452054,0.084408544,0.08026824,0.07711736,0.080733754,0.09767892,0.12892634,0.16597714,0.1937,0.20045264,0.18729351,0.16546677,0.1468085,0.13384621,0.12288346,0.10938301,0.09395569,0.08020895,0.07300956,0.07540339,0.085959636,0.09805844,0.10246297,0.094897,0.07842525,0.061228026,0.04945978,0.044948723,0.04594787,0.04954462,0.052756954,0.053634424,0.05248435,0.051545735,0.052999754,0.05657929,0.059601817,0.058776204,0.053177986,0.044534385,0.036176756,0.030208176,0.027321137,0.02716366,0.029851636,0.035678722,0.044933353,0.057281137,0.071211666,0.08350974,0.09004629,0.088346146,0.07958734,0.067959644,0.05790393,0.051758643,0.049430568,0.049295172,0.049495306,0.049112573,0.04833727,0.048066203,0.048928276,0.051354796,0.05534014,0.05993389,0.0629041,0.06345086,0.06516299,0.07654692,0.10169918,0.13392372,0.15509231,0.15238208,0.12908775,0.106305726,0.10604427,0.13576482,0.1811157,0.21548246,0.21764268,0.187088,0.14202775,0.106193386,0.092493206,0.10040268,0.1191048,0.13638322,0.14301513,0.1375012,0.12425422,0.11021807,0.09868664,0.089377694,0.08055819,0.073309004,0.07008695,0.07183403,0.07555703,0.07676576,0.07337732,0.06659866,0.05904055,0.051784188,0.045078527,0.040004384,0.039598837,0.04716381,0.061413556,0.07583347,0.08051205,0.07202274,0.054562192,0.038471285,0.029715084,0.028794155,0.031572048,0.035059735,0.037806872,0.039765958,0.041757505,0.04562296,0.05401181,0.06708128,0.081933655,0.092665106,0.09554858,0.09021562,0.080054514,0.0689555,0.06008737,0.055564538,0.05625032,0.061904702,0.07039927,0.07852029,0.08280871,0.081660695,0.07610284,0.06929546,0.06451766,0.063890934,0.06772697,0.07502851,0.083628714,0.091525756,0.09752072,0.10220018,0.10641209,0.110510804,0.11331401,0.113862276,0.11208757,0.109192885,0.10587436,0.10302325,0.10229079,0.10784975,0.1215499,0.14147992,0.15944259,0.16920693,0.1677375,0.15851884,0.14493962,0.13035823,0.11543185,0.10104855,0.087955855,0.0781132,0.073380105,0.07491847,0.08218556,0.0927118,0.10210756,0.10523752,0.09896708,0.08451182,0.06658543,0.05028227,0.038049605,0.029982796,0.024764545,0.021174824,0.018233018,0.015858024,0.014392321,0.014188707,0.015049841,0.01667471,0.018754153,0.020761786,0.021662459,0.020677196,0.018141104,0.015461508,0.013885286,0.013601971,0.013911091,0.01416086,0.014245831,0.01446125,0.0150389,0.01583753,0.01656272,0.01704648,0.017562361,0.01868026,0.021185463,0.025936441,0.032942597,0.040506687,0.045069646,0.04384842,0.03701471,0.028058039,0.02087457,0.017379336,0.01722155,0.019352337,0.023517856,0.030297086,0.040050182,0.052005935,0.064129345,0.07501691,0.08442601,0.093248285,0.101100884,0.10665638,0.10890734,0.109179474,0.11002316,0.112923026,0.11668822,0.11860746,0.116291106,0.1092464,0.09873277,0.087223105,0.07744471,0.07113702,0.06817617,0.06640039,0.06359645,0.05968223,0.057769995,0.0615381,0.07266054,0.08821624,0.10378232,0.11427901,0.11809403,0.11474567,0.10664007,0.09578422,0.084876955,0.07523748,0.067975454,0.063695334,0.06251907,0.06368575,0.065269,0.065670766,0.06415326,0.06130075,0.058041554,0.0556612,0.055810433,0.05976754,0.06679368,0.07333461,0.07483985,0.06939599,0.05930237,0.04986505,0.045018733,0.045431647,0.04826704,0.050785538,0.05205221,0.054009918,0.05842647,0.065017104,0.070501186,0.07172397,0.06773213,0.06025735,0.051373,0.04274645,0.035839748,0.03309038,0.036758885,0.04710621,0.060907613,0.072911195,0.07896701,0.07834982,0.07279775,0.06468286,0.055388074,0.046551537,0.039467722,0.035276663,0.03332184,0.03242523,0.03125975,0.029681139,0.02812556,0.02736905,0.027646603,0.028636003,0.0294891,0.029562669,0.028750798,0.027420975,0.025752967,0.023480915,0.020399908,0.016913312,0.01396582,0.012072012,0.010967138,0.009956817,0.008927965,0.008432387,0.009034101,0.010502187,0.011775886,0.011862807,0.01052647,0.008532454,0.0068390598,0.0060607195,0.0062015536,0.007136524,0.008721043,0.010707848,0.0125749605,0.0138494605,0.014349648]