[0.00013292639,0.0001858932,0.0006331646,0.002813464,0.009615588,0.024689501,0.049442142,0.080593556,0.11047306,0.13185298,0.14185807,0.14301555,0.13969524,0.13534147,0.13126116,0.12767866,0.124497525,0.12163535,0.119080245,0.116936296,0.115546815,0.115269065,0.11614358,0.11758696,0.118621565,0.11847034,0.11706761,0.114930384,0.112673424,0.11048343,0.10823432,0.105625205,0.10270843,0.099702634,0.09726594,0.095837794,0.095852375,0.09691948,0.098508626,0.099616796,0.099897034,0.09911701,0.09770367,0.09590136,0.09415814,0.09260916,0.09145513,0.09073154,0.090495445,0.09076304,0.09161087,0.09332848,0.0959572,0.09911498,0.10170556,0.10288484,0.102454655,0.10096904,0.099040516,0.09684998,0.09443414,0.09167949,0.08876035,0.085650295,0.08248535,0.07931618,0.07658995,0.07479259,0.07434806,0.075108506,0.07645098,0.077585876,0.07796102,0.07747268,0.076265015,0.07464095,0.07284129,0.07110452,0.06958646,0.068416305,0.067642,0.06738783,0.068062,0.07046277,0.07521105,0.081758834,0.08826008,0.092403136,0.09340509,0.091819905,0.08933321,0.08654457,0.083856285,0.08078735,0.07767048,0.07448927,0.07180034,0.06988082,0.06957634,0.071840204,0.07732707,0.0855469,0.09442552,0.10159808,0.10548377,0.10632672,0.105235465,0.10343898,0.1015714,0.0998877,0.09842327,0.09707076,0.09556859,0.09371819,0.09168873,0.090265,0.09029133,0.09194849,0.09431649,0.0960401,0.09644762,0.09572754,0.094646215,0.0934454,0.09216011,0.09041691,0.08819806,0.08536463,0.08211607,0.07873378,0.07602583,0.07482297,0.07567244,0.07821352,0.08143697,0.08412447,0.08557793,0.085665055,0.084769376,0.08328393,0.08159914,0.07982883,0.07808324,0.07639644,0.07515413,0.07503036,0.07677654,0.080441736,0.08497947,0.08869306,0.09022799,0.089335434,0.08667386,0.083239414,0.07979974,0.07679113,0.07429585,0.07212827,0.0699346,0.06752862,0.065249,0.0640775,0.06510502,0.06868316,0.073927976,0.079221435,0.083252005,0.085713185,0.08708274,0.087951295,0.08852475,0.08869661,0.088273756,0.08723813,0.08569435,0.08402445,0.08297972,0.08394617,0.088238634,0.0960908,0.10555551,0.11346831,0.11716729,0.11627156,0.11190068,0.10518069,0.095854454,0.08317036,0.06731122,0.050358143,0.035382,0.025091274,0.021267971,0.025336467,0.038024873,0.057836756,0.07980443,0.09755528,0.106936686,0.10826554,0.10466602,0.0992921,0.09378481,0.08874002,0.08435436,0.08058407,0.077254005,0.074465625,0.07300672,0.07389814,0.07730746,0.08178976,0.08497912,0.08535731,0.08326235,0.08021835,0.077301495,0.07456568,0.07161856,0.0685621,0.06588411,0.063993216,0.06287635,0.06292964,0.06557509,0.07312516,0.08651387,0.103832655,0.12034389,0.13185002,0.13664822,0.13624264,0.13288838,0.12854378,0.123978466,0.11951572,0.1150786,0.11066598,0.10653717,0.103363894,0.102090575,0.103234775,0.10659631,0.11094279,0.11481606,0.116823114,0.11643451,0.113818675,0.109980166,0.10596055,0.102324456,0.09887607,0.09516988,0.091210626,0.08750287,0.084876895,0.08393989,0.0849565,0.08748365,0.09045448,0.092502914,0.09276513,0.09135876,0.0892402,0.08741871,0.08625147,0.085290276,0.08396114,0.08219403,0.080672264,0.08019245,0.08125741,0.083807446,0.08746069,0.09144703,0.09467166,0.09594413,0.09443631,0.09006318,0.08336607,0.075185485,0.06616176,0.056697313,0.047145385,0.038142044,0.030607576,0.025875187,0.025713691,0.031950966,0.044607323,0.06067655,0.074511,0.08150727,0.08052311,0.07438876,0.0668659,0.060581345,0.056035172,0.05264764,0.049737457,0.04713562,0.04515672,0.04436596,0.04554857,0.04960345,0.05681749,0.06613501,0.075015955,0.08100317,0.08294367,0.08161363,0.078500815,0.07503583,0.07192734,0.06947873,0.06765682,0.06645527,0.06622043,0.06797594,0.07300792,0.0815785,0.091931455,0.10072131,0.105163835,0.104710646,0.101078056,0.09678712,0.09392101,0.09406904,0.09798288,0.10568589,0.11583313,0.12773746,0.1418596,0.16112685,0.18792148,0.22309156,0.26333842,0.30290988,0.33487296,0.35495138,0.36280164,0.3616104,0.35542765,0.34699944,0.33756495,0.3275087,0.31704473,0.30576548,0.29204622,0.2740295,0.25112608,0.22666305,0.20690423,0.19972622,0.20962216,0.23579192,0.2704644,0.30316713,0.32508573,0.33361796,0.3316364,0.3245542,0.31665754,0.30923215,0.30027986,0.2860225,0.26447588,0.23831415,0.21398771,0.19649775,0.18563129,0.1773896,0.16911684,0.16193008,0.15828758,0.15858215,0.16020907,0.15969622,0.1543154,0.14346445,0.12956925,0.118775405,0.11885271,0.13548243,0.16853935,0.21215935,0.25675216,0.29358327,0.31763038,0.32947257,0.33301678,0.33245412,0.32873684,0.31907332,0.2989156,0.26650426,0.22610827,0.18685178,0.1573648,0.1407022,0.13438143,0.13459776,0.1407779,0.1563937,0.18473284,0.22475393,0.269249,0.31042707,0.3435746,0.36917755,0.38844442,0.40237436,0.41139445,0.41703662,0.4206109,0.42233667,0.42156604,0.4181216,0.41295382,0.40736914,0.402385,0.39788136,0.39302814,0.386215,0.37633738,0.3630239,0.34739807,0.33132532,0.317065,0.30619565,0.29883668,0.29279456,0.28452006,0.27126798,0.25357231,0.23456836,0.21770756,0.20417754,0.19346058,0.18494523,0.17898642,0.17587323,0.17443208,0.17232545,0.16781668,0.16123638,0.15443778,0.14899707,0.14505291,0.1415249,0.13737099,0.13265227,0.12891136,0.1282904,0.13187417,0.13817137,0.14333117,0.1432402,0.13697512,0.12970465,0.13256894,0.15766893,0.20924668,0.2781624,0.3450558,0.39205718,0.41251323,0.41182175,0.3997408,0.38329586,0.36524522,0.34658733,0.328408,0.3107718,0.2916161,0.26708382,0.23531733,0.19877875,0.16555144,0.14578055,0.14871995,0.17756887,0.227525,0.2858279,0.3380573,0.375321,0.39737913,0.40929863,0.41556236,0.41807616,0.41703227,0.41281104,0.40561947,0.3956597,0.38325247,0.36948958,0.35521033,0.34028235,0.32361194,0.30408683,0.28185496,0.25812268,0.23513363,0.21427648,0.1960659,0.1798376,0.16560762,0.15368259,0.14443272,0.13686179,0.12989897,0.122971795,0.11715567,0.1134971,0.11222867,0.11187043,0.11068509,0.108011186,0.104782134,0.10247087,0.101886176,0.10322005,0.10667411,0.11201934,0.11799693,0.12206793,0.122716606,0.120242685,0.11695371,0.114635415,0.11389101,0.11372619,0.11290458,0.1104364,0.10617358,0.10093763,0.09641371,0.094787754,0.09709767,0.10264066,0.10864144,0.11278853,0.114134915,0.113873385,0.11316586,0.11262051,0.11168728,0.10992805,0.10711038,0.1036477,0.10002736,0.09721959,0.096524455,0.09994933,0.10878516,0.122414075,0.13721277,0.14848985,0.15306933,0.1510135,0.14438467,0.13499577,0.12345288,0.10985858,0.09491754,0.07997275,0.06629857,0.055077214,0.047715217,0.04644576,0.052574236,0.06511283,0.07964789,0.0912245,0.09666156,0.09645957,0.09296775,0.0887206,0.08494529,0.081849046,0.07911769,0.076616734,0.075270005,0.07776835,0.08909422,0.114287056,0.15639693,0.21248947,0.27563864,0.33586705,0.38652876,0.42370963,0.44783607,0.45989498,0.46266142,0.4596163,0.45469287,0.44849613,0.43642172,0.41026306,0.36578372,0.3085236,0.25432125,0.21911854,0.20958966,0.2189802,0.23428024,0.24396987,0.24271868,0.23058337,0.21157587,0.1918631,0.1770407,0.16923453,0.16660376,0.16577224,0.16452686,0.16258563,0.1605481,0.15925376,0.15932527,0.16121371,0.16432188,0.16728248,0.1685968,0.16786014,0.16579042,0.1632185,0.16035919,0.1567084,0.15229654,0.14829962,0.14690614,0.1500072,0.15819359,0.17078549,0.18651038,0.20369358,0.21983044,0.23105995,0.23344158,0.22516704,0.20873387,0.19023426,0.17607951,0.16952528,0.16980635,0.17501004,0.1851641,0.20308661,0.23064189,0.26528654,0.29937494,0.3248589,0.33693814,0.3347093,0.3181562,0.2869878,0.24239455,0.18925555,0.1360542,0.09150204,0.061532747,0.048127677,0.050718356,0.06720547,0.0936747,0.12385956,0.1506003,0.16901141,0.17839862,0.1814903,0.18175584,0.1816416,0.18209071,0.18292522,0.18309663,0.18088794,0.17497021,0.16551143,0.15549271,0.14973986,0.15316676,0.16748537,0.19031568,0.2157226,0.23719178,0.24903627,0.24690004,0.22790436,0.1928312,0.14811407,0.104557246,0.07238631,0.056887377,0.05790287,0.07265254,0.09797579,0.13037638,0.16526598,0.1967953,0.21954648,0.22927839,0.22382082,0.203117,0.17070805,0.13390584,0.10143671,0.079288654,0.06917465,0.07164542,0.0905571,0.1310016,0.19305305,0.2652495,0.33003104,0.3726591,0.39041033,0.38970813,0.38044098,0.36922213,0.35900816,0.35020018,0.3427106,0.3364848,0.33167863,0.32857478,0.3274512,0.32828167,0.33041856,0.33264935,0.33378565,0.33319163,0.33100864,0.3277276,0.32383546,0.31958434,0.3151485,0.3108326,0.30719426,0.30496368,0.30466995,0.3062268,0.3087244,0.3107128,0.31090453,0.3087998,0.305015,0.300709,0.29692864,0.29380706,0.29101518,0.28817797,0.28552267,0.2833027,0.28151515,0.2796943,0.27759835,0.2755439,0.2743707,0.27475122,0.27666053,0.27931234,0.2815869,0.28254235,0.2817316,0.2794094,0.27654234,0.27440238,0.2738408,0.27466488,0.27588615,0.27636513,0.2756311,0.27381107,0.2714735,0.2689476,0.26633704,0.26325837,0.25937334,0.25434926,0.24822605,0.24094504,0.23259158,0.22336371,0.21419716,0.20622723,0.2002879,0.19584858,0.19165249,0.18614401,0.17886151,0.1699332,0.16054606,0.15168907,0.14449154,0.13902861,0.13513173,0.13199356,0.12917551,0.12619643,0.12317654,0.12029403,0.11822864,0.117529355,0.11927224,0.123765625,0.1305813,0.1372705,0.14160448,0.14203846,0.13925321,0.13429606,0.1284963,0.12256109,0.11710734,0.11227581,0.10788798,0.10382452,0.10020927,0.097456075,0.095599264,0.09444683,0.09352415,0.09262764,0.09161395,0.09041611,0.08890436,0.0870337,0.08499784,0.083044045,0.08139781,0.08003661,0.078867935,0.07785071,0.07720823,0.07749386,0.079193406,0.08222437,0.08560291,0.08792341,0.088371396,0.08695283,0.08453452,0.081614755,0.0786495,0.07542091,0.07213646,0.06869302,0.06539569,0.06233476,0.060328245,0.060747754,0.065237485,0.07418243,0.08577189,0.096719034,0.104198866,0.10738841,0.10724624,0.10520553,0.10233187,0.099222384,0.096402705,0.09429724,0.09305712,0.0925794,0.092811406,0.09420825,0.097423784,0.10265442,0.10880152,0.114038736,0.11679233,0.11695746,0.11528686,0.11279724,0.10972154,0.10618707,0.10219013,0.09824219,0.0947622,0.092358686,0.09136235,0.091770284,0.09285513,0.09352737,0.0931032,0.09178632,0.09025982,0.08906528,0.08804521,0.08697238,0.08548006,0.08369478,0.081621386,0.079586536,0.077841245,0.076919526,0.077182315,0.07850776,0.080060385,0.080660105,0.07968297,0.07729744,0.074276954,0.07127576,0.06861576,0.06632251,0.06428844,0.06261951,0.06180713,0.06293371,0.06702813,0.07500283,0.08797127,0.10882642,0.1411484,0.18642293,0.2397843,0.29142353,0.33121598,0.35475847,0.36372316,0.36317694,0.35722908,0.34653926,0.32780838,0.2973739,0.25634584,0.21293177,0.1776672,0.1572101,0.15211098,0.1595059,0.17523156,0.19343688,0.2077945,0.21414427,0.21318859,0.20842771,0.20328613,0.19886966,0.19458218,0.1893842,0.18304013,0.17699577,0.17354475,0.17455363,0.17937607,0.18550433,0.1896345,0.18988456,0.185748,0.17789663,0.16726969,0.1550165,0.14247136,0.13116315,0.122600816,0.11770341,0.11638906,0.11775049,0.12086111,0.12554318,0.13204192,0.14038768,0.14946531,0.15743989,0.16208579,0.16210209,0.15730302,0.14906926,0.13948049,0.13081418,0.12455472,0.12105908,0.11965681,0.11926367,0.11921435,0.11929562,0.11963693,0.12007639,0.12009192,0.11883766,0.115716495,0.11101889,0.10588185,0.101717316,0.09910384,0.09772646,0.097007446,0.097275354,0.100253485,0.10796747,0.12117966,0.13785185,0.15423644,0.16639297,0.17198093,0.1699072,0.16033064,0.14495693,0.12770604,0.11370825,0.10677896,0.10751525,0.11347252,0.12119337,0.1279552,0.13236095,0.1342415,0.13441928,0.13421816,0.13459969,0.13525759,0.13511813,0.13300006,0.12878203,0.12266209,0.1153934,0.10738786,0.09979331,0.09350807,0.089883946,0.089145534,0.09107045,0.09396576,0.0963079,0.09665864,0.09492761,0.09139163,0.08666929,0.080827296,0.07359067,0.064603604,0.053968873,0.04266298,0.032272924,0.02482456,0.022268763,0.025809964,0.034934394,0.046781186,0.057294924,0.063099846,0.06339572,0.05965461,0.054312516,0.04912207,0.04468602,0.04077674,0.03700706,0.03324988,0.029729718,0.026907513,0.02541426,0.025746455,0.027941406,0.031173974,0.034162924,0.035821825,0.035954636,0.035025444,0.033682153,0.032281023,0.030962693,0.029798163,0.028891725,0.028317245,0.028294886,0.029410934,0.03272529,0.03885567,0.04717736,0.055437446,0.06130824,0.06357307,0.06276493,0.059995133,0.05627969,0.05222672,0.048415605,0.04544191,0.043878596,0.0443829,0.047976915,0.057007343,0.0762051,0.11184607,0.16731118,0.23679347,0.30569014,0.3579004,0.38651237,0.393584,0.38418424,0.35949114,0.3207067,0.2739815,0.23099656,0.2014836,0.18714483,0.18239875,0.18038906,0.1788478,0.18037076,0.18930839,0.2071836,0.23113202,0.25418133,0.26668763,0.2592624,0.2273341,0.17619073,0.119428396,0.07192359,0.041412815,0.027682224,0.027487917,0.0400875,0.066898674,0.10684242,0.15260057,0.19272403,0.21815646,0.22711985,0.2242288,0.21562487,0.2053905,0.19518787,0.18558683,0.17751096,0.17516695,0.18819748,0.23045516,0.30807903,0.41100407,0.51106596,0.5807477,0.60632366,0.59448475,0.56006116,0.5169382,0.47350106,0.43476447,0.40408763,0.382164,0.36732653,0.35706654,0.35008034,0.3465344,0.346076,0.34692085,0.34628522,0.34212044,0.334249,0.32395747,0.31350517,0.30485976,0.29922077,0.2964301,0.29558015,0.29580113,0.29666436,0.29787514,0.29888776,0.299049,0.29818928,0.29644728,0.2941682,0.29127952,0.2880367,0.28499398,0.28322285,0.2832127,0.2846901,0.28670633,0.2885454,0.29041043,0.29414305,0.30325457,0.32102397,0.3464574,0.37197265,0.3863056,0.38239238,0.3623043,0.3355122,0.31154636,0.29509902,0.28558114,0.28028503,0.27667728,0.2732173,0.26884404,0.26287615,0.25525543,0.24657111,0.23731513,0.22821397,0.22114475,0.21993017,0.2269843,0.2407295,0.25492558,0.26328543,0.26213884,0.2510847,0.23149706,0.20642464,0.18104379,0.16148669,0.1533062,0.15957989,0.18035042,0.21137322,0.24403332,0.26745102,0.2732804,0.26054356,0.23602165,0.21032186,0.19085665,0.17878504,0.16924347,0.15717636,0.14398032,0.14317013,0.17734271,0.26101288,0.38389596,0.5085833,0.5958884,0.62938434,0.6218111,0.5961676,0.56753606,0.5386179,0.507492,0.47305647,0.4359235,0.39524677,0.351014,0.3057606,0.26746586,0.24591994,0.24804156,0.27338335,0.31372353,0.35707918,0.3926203,0.41471753,0.4236733,0.42337537,0.41898713,0.4133542,0.4077375,0.4013128,0.3938699,0.38438714,0.37163773,0.3541908,0.33263206,0.31018883,0.2904522,0.27528355,0.26346102,0.25322753,0.24348956,0.23473275,0.22753029,0.22220407,0.21891223,0.21894854,0.22510056,0.24058418,0.26462784,0.2902046,0.30513108,0.30089012,0.2777222,0.24508758,0.213244,0.18809797,0.16945083,0.15475462,0.14141828,0.12838687,0.11627822,0.10766354,0.107091404,0.11915513,0.1475477,0.19172935,0.247629,0.3062005,0.3581816,0.39620027,0.41922152,0.43049118,0.43516174,0.4358493,0.43113744,0.41523722,0.38118806,0.32708254,0.2625486,0.2082104,0.1837246,0.1938455,0.22422041,0.25368503,0.26822564,0.26561037,0.24920796,0.22307904,0.19283766,0.16627787,0.14981352,0.1441431,0.1476125,0.1637692,0.2052869,0.28175637,0.38677105,0.49186015,0.56737673,0.59951496,0.5988264,0.58191115,0.55928683,0.5310854,0.49699005,0.46034154,0.42628455,0.39641395,0.36805454,0.33885112,0.31044054,0.2883396,0.2761415,0.272853,0.27321577,0.27276856,0.26956797,0.26453665,0.2592405,0.25559664,0.25556543,0.26195315,0.27718127,0.3013176,0.32975617,0.3548225,0.3702545,0.3752226,0.37361038,0.36981118,0.36571983,0.36139372,0.35735652,0.35505137,0.35480353,0.35445035,0.3504207,0.3410356,0.3276347,0.31428102,0.30471477,0.3024796,0.30725774,0.3155357,0.31812146,0.30853972,0.28523836,0.25536177,0.2262872,0.20281231,0.18457657,0.16989245,0.15709731,0.14506042,0.13329057,0.12178111,0.111438595,0.10293015,0.09647745,0.09145472,0.08711023,0.08289269,0.07866626,0.074643694,0.071071155,0.06818598,0.0659036,0.064038955,0.062264267,0.060484234,0.058748003,0.057477985,0.057417184,0.05959965,0.06448331,0.07127196,0.07776812,0.08175493,0.08215816,0.07951573,0.075012974,0.069725305,0.064323835,0.05933443,0.055240083,0.05220242,0.05330649,0.06750613,0.112113774,0.19826476,0.31887364,0.44098258,0.5313456,0.5747536,0.58249927,0.5690537,0.5407849,0.4969982,0.4435667,0.3943511,0.36085144,0.3444911,0.33663955,0.32845065,0.3159047,0.30147013,0.2894921,0.28301373,0.28174654,0.28311202,0.28396383,0.28250864,0.27837482,0.27240598,0.2655406,0.2592097,0.25459617,0.25274858,0.25324512,0.2549915,0.25633022,0.25666046,0.25576174,0.2540514,0.2518011,0.24996267,0.24967837,0.2518093,0.2557452,0.2598125,0.26237407,0.26334462,0.26354244,0.26480126,0.26902795,0.27981627,0.2979567,0.3202894,0.3370706,0.34131002,0.33189842,0.31630704,0.3016374,0.29144278,0.28360382,0.27430984,0.2608606,0.24389537,0.22730815,0.21466452,0.2070563,0.20303561,0.20396912,0.21474127,0.24093385,0.28081357,0.32470953,0.35985652,0.3789514,0.38295463,0.3779881,0.36988342,0.35949662,0.34221408,0.31117174,0.26422685,0.20883511,0.15988262,0.13116506,0.12671882,0.1398989,0.15841001,0.17201842,0.17530191,0.16795409,0.1519128,0.13083975,0.10869662,0.08941654,0.07512037,0.068200104,0.07420108,0.10568529,0.17364259,0.27813601,0.39781126,0.5039972,0.5725153,0.59971315,0.591901,0.56304365,0.52328724,0.48400763,0.45064887,0.42553282,0.40421748,0.38184515,0.35530415,0.32607684,0.29890695,0.27755105,0.26367104,0.25538352,0.2510601,0.24911733,0.24918282,0.25049886,0.2521142,0.25307354,0.2524604,0.25013354,0.24627836,0.24193479,0.23799819,0.23517309,0.23342021,0.23226242,0.23122461,0.23004167,0.22901697,0.22840233,0.22846724,0.2290033,0.2297529,0.23036374,0.23069732,0.23081322,0.23134886,0.23424338,0.24285154,0.25977877,0.28271005,0.3028194,0.30899444,0.29625905,0.26955327,0.24013215,0.21714123,0.20348382,0.19658703,0.1927375,0.18932597,0.1859185,0.18277669,0.18013513,0.17713965,0.17294623,0.16740471,0.16163711,0.15726334,0.1554013,0.1561592,0.15868682,0.16193354,0.16489953,0.16642284,0.16514553,0.16046266,0.15387951,0.14848463,0.1467182,0.14826183,0.15053208,0.15092027,0.14855927,0.14432007,0.1396273,0.13551952,0.13223128,0.12956114,0.12736641,0.12592603,0.12559646,0.1260243,0.12736543,0.13359217,0.1562289,0.20947814,0.29846844,0.4075241,0.50690097,0.5696017,0.58959246,0.57611257,0.5446171,0.50160724,0.4517391,0.397261,0.3467579,0.3059893,0.27885196,0.26193783,0.2510048,0.24230213,0.23549312,0.23088533,0.22898555,0.22906192,0.23095866,0.23373324,0.23688053,0.23882,0.23853493,0.23583125,0.2316695,0.22813903,0.2262219,0.22700165,0.2295013,0.2335567,0.23763637,0.24190968,0.24584232,0.250108,0.25429526,0.25831655,0.2616284,0.26427543,0.26632234,0.26770148,0.26799437,0.2673137,0.267846,0.27390483,0.28946248,0.31218645,0.33224615,0.33606136,0.31776705,0.28263286,0.24394625,0.21207136,0.1901014,0.17542239,0.16402347,0.1534199,0.14213379,0.13097341,0.12263236,0.12199148,0.13334827,0.15835248,0.19479321,0.23779279,0.2818611,0.32234868,0.35568067,0.3798088,0.39395198,0.39953494,0.39883837,0.39500597,0.39008284,0.38519546,0.3800007,0.3739047,0.3667909,0.35967663,0.35414577,0.3512827,0.3507727,0.3512907,0.35143796,0.3508809,0.35009608,0.34986445,0.35021797,0.3506788,0.35065103,0.35194233,0.35970858,0.38244605,0.42435566,0.480397,0.5341806,0.57047933,0.5831161,0.5786342,0.56460816,0.5444972,0.51581967,0.47760406,0.4315821,0.3829188,0.3373283,0.30115807,0.27884755,0.27104774,0.27338564,0.27893892,0.28254035,0.28277317,0.2820262,0.28286338,0.28701487,0.29360643,0.30152357,0.30893204,0.314948,0.31783676,0.31662437,0.31090006,0.30273485,0.2948273,0.28957695,0.28701416,0.2860405,0.28485945,0.2827246,0.27931407,0.27545562,0.27181855,0.26915342,0.26696146,0.26479396,0.26250425,0.26219308,0.26670232,0.27897155,0.29723302,0.31554353,0.32331872,0.31421983,0.28794584,0.25325438,0.21913423,0.1918702,0.17127621,0.15535457,0.1421926,0.13171412,0.12368203,0.117016695,0.10992739,0.10172051,0.09304846,0.085259646,0.07895622,0.07405903,0.070228346,0.06723636,0.06459095,0.061764453,0.058585446,0.055589985,0.053346302,0.05203183,0.051339712,0.051165104,0.05193728,0.05453056,0.059336822,0.065534845,0.07103858,0.073781684,0.072921835,0.06926272,0.06424359,0.05887161,0.053301875,0.047345635,0.041125175,0.03514764,0.033301145,0.045460057,0.08943942,0.17645597,0.29883632,0.4227794,0.5144668,0.5583496,0.56587416,0.5508136,0.52000445,0.47297144,0.4175345,0.36733925,0.33374548,0.31644645,0.30715832,0.29797295,0.28697124,0.27746996,0.27280447,0.27321923,0.2757313,0.2772553,0.2765231,0.27429423,0.2715659,0.2689403,0.2666035,0.26535496,0.26598158,0.26860008,0.27197087,0.27443108,0.27528334,0.2749898,0.2745291,0.2739331,0.27292505,0.27149442,0.27067754,0.27104878,0.2721127,0.27223527,0.27050298,0.26706675,0.2630724,0.26037118,0.26188588,0.27161488,0.28998113,0.31162426,0.324589,0.32016435,0.29712376,0.26401567,0.23012,0.201953,0.1806644,0.16533585,0.15354843,0.14284432,0.13136075,0.11892391,0.10668122,0.09604814,0.087786905,0.08192436,0.0782111,0.07633219,0.07588225,0.076137364,0.07628626,0.07582448,0.07485915,0.07389142,0.07335522,0.07329837,0.07354239,0.07403898,0.0752942,0.07821099,0.08345304,0.09044894,0.09722259,0.10140678,0.102163814,0.101397425,0.10337245,0.11200444,0.12789905,0.14686324,0.16247453,0.16999196,0.17135866,0.17663826,0.20374167,0.2675822,0.36918613,0.4864522,0.58719504,0.64472556,0.6529998,0.6195887,0.55897385,0.4837924,0.40692842,0.33859923,0.2859536,0.24954806,0.22571523,0.20841557,0.19414783,0.18238635,0.17567067,0.17531776,0.18068086,0.18810023,0.19381668,0.1950879,0.19194116,0.18648444,0.1817473,0.17985766,0.18111497,0.18386714,0.18527459,0.18290286,0.17705375,0.17214851,0.17476954,0.18896574,0.21207315,0.2357711,0.2512297,0.25444224,0.24722368,0.23468523,0.22182815,0.21161002,0.20456082,0.20053999,0.20097733,0.21038924,0.23262775,0.2662681,0.30210194,0.32949522,0.343438,0.34765637,0.34904352,0.3516644,0.35456896,0.35451463,0.34926352,0.33924544,0.3270491,0.31526908,0.3042929,0.2922052,0.278023,0.26424417,0.25589815,0.25497368,0.25745252,0.25509247,0.24175207,0.21752155,0.1885976,0.16350523,0.1481728,0.14328271,0.14483075,0.14836651,0.15249568,0.15932257,0.17155655,0.19026677,0.21480459,0.24376263,0.27426147,0.3010707,0.31746188,0.3188938,0.30494633,0.27956748,0.24825852,0.21751498,0.1932741,0.18338227,0.19753587,0.24586028,0.32789382,0.42636085,0.5113091,0.5606242,0.57248497,0.5621424,0.5436205,0.5207315,0.4903097,0.4523621,0.41240385,0.37730554,0.35006312,0.3291383,0.3112167,0.29368365,0.276016,0.25900352,0.24399363,0.23156543,0.22169602,0.21397732,0.20790486,0.20224105,0.19529589,0.18578845,0.17409639,0.16148327,0.14936876,0.13847847,0.129717,0.123681486,0.12028869,0.11807933,0.11570371,0.11307314,0.111533076,0.112074204,0.11420271,0.1165312,0.11817521,0.11945165,0.12074525,0.12237709,0.1258357,0.13578601,0.15841235,0.1946525,0.23569047,0.26500764,0.27107188,0.25417212,0.22623648,0.19897626,0.17848168,0.16384076,0.15253697,0.14216124,0.13168721,0.12094902,0.11090284,0.10289914,0.097865365,0.0958434,0.09595556,0.09689487,0.09726799,0.096326746,0.0941576,0.09150401,0.089165956,0.08749023,0.08642861,0.08572338,0.085401416,0.08576859,0.08726704,0.0899952,0.093369454,0.09604337,0.09632192,0.09318352,0.08717542,0.08075469,0.078205846,0.0853872,0.10872003,0.15103255,0.20724331,0.26253352,0.29965627,0.3107195,0.30656472,0.31360248,0.35464463,0.4321525,0.52198595,0.59426427,0.6289485,0.62688094,0.5960713,0.54666895,0.48539388,0.42166767,0.3648907,0.3220987,0.29440084,0.2787852,0.27232543,0.27333817,0.28104737,0.29268304,0.30483124,0.31478468,0.32231173,0.3275999,0.3292619,0.32357886,0.30668876,0.2773622,0.23871724,0.19734883,0.16050492,0.13341616,0.119088165,0.11954945,0.13564076,0.16434614,0.1977786,0.22572535,0.24087693,0.24062121,0.22762507,0.2076013,0.18870954,0.17686069,0.173649,0.17528868,0.17856346,0.1843611,0.19939047,0.22837727,0.26929888,0.3100563,0.33853802,0.34845343,0.34420726,0.33254185,0.3182424,0.30041158,0.27736676,0.24949639,0.22139366,0.19883026,0.18526632,0.18023907,0.18152623,0.18933628,0.20624419,0.2338593,0.267772,0.2991441,0.31999412,0.32876286,0.3296198,0.3282261,0.32799506,0.32955202,0.33218065,0.33485577,0.33660153,0.33645487,0.33392382,0.32924867,0.32344547,0.31758854,0.31260327,0.30897638,0.30706415,0.30661562,0.30690265,0.3066714,0.30506232,0.30182597,0.2975851,0.29478717,0.29946032,0.3215865,0.36805126,0.43396732,0.49984208,0.5440943,0.55704737,0.54458404,0.5171686,0.4815608,0.44103846,0.40193224,0.37164816,0.35431436,0.34642324,0.34175548,0.3358971,0.32878366,0.32240808,0.31782064,0.31451097,0.31094158,0.3066645,0.30230483,0.29916564,0.29778135,0.29793072,0.29906762,0.30102918,0.3036741,0.30655062,0.30855033,0.3089397,0.30779755,0.3063608,0.30575716,0.3063465,0.30760956,0.30893576,0.31019065,0.31126773,0.3117992,0.3110796,0.3089545,0.3062161,0.30435356,0.3050939,0.30995893,0.32015488,0.33473906,0.3496126,0.3579009,0.3546705,0.34020194,0.32034692,0.30167842,0.28791687,0.27883267,0.27257967,0.26741531,0.2625657,0.2579349,0.25385138,0.25047165,0.24741691,0.24390338,0.23963833,0.23511355,0.23100822,0.22712319,0.22271156,0.217544,0.21264796,0.20901924,0.2060004,0.20071082,0.1901928,0.17429401,0.15716785,0.14553587,0.14478101,0.15590936,0.17504789,0.19565189,0.21122275,0.21687199,0.21068352,0.19433945,0.17455786,0.16085173,0.16129115,0.1766603,0.1997046,0.22152585,0.24044017,0.26699224,0.31491888,0.3893684,0.47711095,0.5556691,0.60432625,0.6162147,0.59479535,0.551605,0.49805364,0.44520846,0.3979334,0.35851678,0.32555616,0.29981765,0.28172448,0.27261183,0.2717967,0.27709016,0.2849435,0.29182923,0.2962002,0.2981672,0.29868853,0.2981702,0.2963415,0.2932093,0.28853372,0.28205943,0.27208233,0.2579089,0.24110888,0.22829138,0.2265058,0.23912783,0.2607194,0.28171,0.29310867,0.2923424,0.2813677,0.2654331,0.24957955,0.23804498,0.23172753,0.22903116,0.22773331,0.22885995,0.23767643,0.2594712,0.29437637,0.33351254,0.36513245,0.3809949,0.3822628,0.37448308,0.36312655,0.34959158,0.33423185,0.317651,0.30174318,0.2875754,0.27543637,0.26441726,0.25425765,0.24553347,0.24044244,0.24060543,0.24572234,0.25275925,0.25810942,0.25944892,0.25622442,0.24868251,0.23756455,0.22459762,0.21277271,0.20518045,0.204507,0.21252084,0.23056483,0.25676763,0.28535172,0.3069314,0.3151748,0.3099592,0.29768482,0.28474855,0.27399924,0.26422086,0.25399503,0.24354728,0.2345773,0.22884901,0.22999601,0.245508,0.2851478,0.35128626,0.43194833,0.50463414,0.5501581,0.56413937,0.5516021,0.5219596,0.47829902,0.4273144,0.37339354,0.32695204,0.29086816,0.26703295,0.24987221,0.23647928,0.22432959,0.21412091,0.20610838,0.20051444,0.19733362,0.1968293,0.19855742,0.20181109,0.20508409,0.2077731,0.20932479,0.21017934,0.21055447,0.21102212,0.21163379,0.21231337,0.21246105,0.21204858,0.21142428,0.2116015,0.21285538,0.21498834,0.21706541,0.21878755,0.2200694,0.22154272,0.22310118,0.22479044,0.22647564,0.23017561,0.23899484,0.2554576,0.27636436,0.29257095,0.29334387,0.27497336,0.24324447,0.20932333,0.18146162,0.16178234,0.14762197,0.13586934,0.1248275,0.114465885,0.10503975,0.09671172,0.08946258,0.08353772,0.079163946,0.07628798,0.074390635,0.07283426,0.071046315,0.068844676,0.06638392,0.064222015,0.062790476,0.062223464,0.062264476,0.06280603,0.06407831,0.06659032,0.07048201,0.075318575,0.080102384,0.08392876,0.086010225,0.08612841,0.085337184,0.086817004,0.094682194,0.10983238,0.12793577,0.14111984,0.14498706,0.14125977,0.13920136,0.15267074,0.19791637,0.28160858,0.39087263,0.49344668,0.559421,0.58080286,0.57187074,0.550023,0.5209249,0.48237213,0.43500987,0.38748583,0.34893274,0.3225406,0.3041327,0.2886077,0.2742652,0.26401046,0.26111248,0.2666388,0.27784333,0.2909038,0.30235386,0.31120324,0.3171769,0.32038558,0.31945384,0.31325838,0.3010966,0.28479695,0.26763442,0.25411245,0.2474063,0.24929564,0.25890765,0.27396086,0.29038814,0.3053235,0.31762514,0.3282281,0.33599758,0.33689642,0.32645348,0.30552197,0.28130338,0.26389298,0.26083437,0.27554503,0.30512092,0.34070334,0.36802912,0.37671956,0.36550072,0.34343255,0.3196263,0.29702756,0.27121207,0.23779471,0.19756497,0.15721898,0.12462636,0.10467542,0.09891191,0.10713232,0.12924618,0.16245955,0.20171128,0.23866574,0.2676926,0.28529778,0.2929464,0.29321393,0.29102886,0.2905698,0.29395184,0.29901555,0.30088782,0.29672098,0.28812325,0.2800816,0.27585593,0.27482483,0.27374232,0.2700929,0.26350057,0.2552861,0.24724631,0.24093306,0.23673706,0.23361897,0.22970252,0.22379953,0.21891923,0.22403435,0.25455263,0.32093635,0.41947064,0.52618223,0.61357856,0.66374224,0.67642117,0.65700275,0.61239004,0.55038446,0.4848496,0.42902973,0.38907602,0.3612002,0.33892262,0.31877598,0.30184922,0.29091987,0.28714833,0.2892635,0.29356748,0.2964921,0.2959768,0.2927346,0.28889245,0.28670967,0.28720877,0.29004487,0.29354107,0.29543564,0.2936889,0.28778136,0.27880704,0.2692664,0.26185557,0.25866485,0.26027825,0.26551768,0.2721584,0.27792782,0.2814258,0.28231546,0.28119728,0.27973482,0.27977273,0.28356603,0.29300883,0.31030956,0.33432427,0.35874668,0.37133178,0.36238167,0.3309465,0.28707036,0.24326755,0.2076969,0.18117827,0.16120021,0.14507927,0.13163973,0.12037369,0.11109797,0.1034767,0.0971329,0.091590725,0.08667629,0.08255091,0.07959202,0.07784537,0.076964736,0.076360054,0.07559547,0.074601434,0.0734907,0.07258948,0.07201684,0.072091416,0.07310281,0.07579694,0.08066439,0.08778318,0.09610176,0.10392603,0.109196305,0.11028684,0.1067656,0.10046742,0.09601247,0.09861488,0.11062068,0.12861715,0.1458659,0.16002135,0.1790138,0.22153056,0.3008648,0.41397437,0.5331835,0.62798643,0.6785498,0.6895184,0.6731279,0.64022416,0.5916663,0.5283708,0.45684063,0.39032462,0.3405919,0.3112005,0.2978026,0.29441836,0.2986318,0.3097551,0.32523045,0.339244,0.3474852,0.3490018,0.34555554,0.33689126,0.3214276,0.29880813,0.2735559,0.25258037,0.24151409,0.24136794,0.25039482,0.26566744,0.28456986,0.30359185,0.3193376,0.32966486,0.335336,0.33857027,0.3413554,0.34342873,0.3434526,0.3396623,0.33179423,0.3200473,0.3067987,0.2965221,0.29702976,0.31284156,0.34044862,0.3654704,0.37336585,0.35827056,0.32765543,0.29365864,0.26561746,0.24557221,0.23086739,0.21702164,0.20119299,0.1837642,0.16802646,0.15707916,0.15148206,0.1500598,0.15207513,0.15831672,0.16823004,0.17898725,0.18572818,0.18596476,0.18082525,0.17459516,0.17094523,0.17074943,0.17235248,0.17347006,0.17281811,0.16983457,0.16502643,0.16073,0.16130497,0.1699238,0.184673,0.19848341,0.20407647,0.19962396,0.18908407,0.17855339,0.1715461,0.16827887,0.16664101,0.16615142,0.17160219,0.19627142,0.25558192,0.3543239,0.47459158,0.5829914,0.6505935,0.671623,0.6594802,0.63065815,0.5908897,0.53835046,0.47382128,0.4068555,0.35108104,0.3154901,0.2992365,0.29440272,0.29209337,0.28786364,0.28177655,0.27583382,0.27134088,0.26848713,0.26752234,0.26852858,0.27168605,0.27670813,0.284114,0.29398465,0.30570808,0.31680557,0.325089,0.3292353,0.32972348,0.3271381,0.32233325,0.3156153,0.30793205,0.30008245,0.29385495,0.29047456,0.2910849,0.2949972,0.30106053,0.307129,0.31227517,0.31699714,0.32497624,0.33933115,0.35942277,0.37700108,0.38225773,0.36979696,0.34418818,0.31382227,0.28540373,0.2591469,0.2330725,0.2061285,0.18071808,0.16014397,0.14684594,0.14151727,0.14400493,0.15393269,0.17018294,0.19047545,0.21145777,0.22953464,0.24161233,0.24502213,0.23784648,0.2198313,0.19391839,0.16624282,0.14300105,0.12710184,0.11668947,0.10883036,0.10337644,0.10477998,0.11801865,0.14347138,0.17453039,0.2013643,0.21682923,0.21967459,0.21326323,0.20221932,0.19028121,0.17957169,0.17104371,0.16591491,0.16869356,0.18962817,0.24182956,0.33111444,0.44644144,0.5612014,0.6481004,0.692121,0.69474643,0.6654883,0.61816573,0.5649076,0.51694864,0.47902015,0.4524126,0.43464386,0.4234338,0.41605508,0.41052583,0.40598038,0.4023321,0.3996985,0.39756623,0.39554414,0.3938309,0.3932036,0.39407125,0.39593276,0.39750788,0.3978699,0.39671674,0.39440665,0.3912886,0.3877659,0.38456377,0.38258454,0.3825394,0.38418815,0.3865482,0.38855454,0.3896935,0.3902924,0.39086464,0.39207676,0.39421332,0.3972505,0.4004464,0.40336287,0.40676832,0.41304037,0.4230597,0.43422928,0.44045064,0.43786266,0.4275955,0.41550612,0.4064636,0.40173337,0.39928007,0.3968902,0.39394855,0.3910481,0.38895336,0.38756573,0.3865362,0.38557747,0.3849866,0.38478515,0.3847371,0.38437152,0.38384008,0.38370696,0.38438442,0.38568994,0.38696155,0.38769898,0.3876587,0.38698903,0.3861123,0.3854725,0.3852826,0.38512525,0.38442937,0.3825567,0.3793423,0.37477684,0.36934116,0.36363086,0.35854283,0.35468614,0.3525624,0.3522419,0.35367748,0.35669777,0.36220956,0.37322554,0.39529887,0.4326513,0.48428288,0.54025143,0.58733773,0.6132173,0.61388516,0.5899925,0.5484771,0.4978421,0.44989327,0.41313183,0.3908937,0.3793815,0.37269378,0.36710414,0.36222044,0.3593246,0.358503,0.35883918,0.35876298,0.35747382,0.35494837,0.3519571,0.34957817,0.34852886,0.34873343,0.3492647,0.3489727,0.34732935,0.34460142,0.341495,0.3383943,0.33516526,0.33169508,0.32822838,0.32558772,0.32429054,0.32429028,0.32495287,0.32570538,0.32630596,0.32644227,0.32587352,0.32474065,0.32510287,0.33062968,0.34556305,0.37006184,0.39863262,0.42072383,0.42844722,0.4204203,0.40230456,0.3804839,0.35923958,0.34061325,0.32651356,0.3181971,0.31491777,0.31393155,0.3124933,0.3095394,0.30558857,0.30172768,0.29862496,0.29675147,0.2959653,0.29577532,0.29484335,0.29229453,0.2881751,0.28416952,0.28205988,0.2827436,0.28538415,0.28838095,0.2902455,0.2902747,0.28881565,0.28716782,0.2874141,0.2908293,0.2969259,0.3031139,0.30690607,0.3072225,0.3048228,0.30068198,0.2956039,0.2902455,0.28587022,0.28563514,0.2956584,0.32547677,0.38103855,0.45871726,0.541817,0.61105806,0.65419656,0.6703124,0.664777,0.6425624,0.60885805,0.5681595,0.5268393,0.48953447,0.4592897,0.43678483,0.42102504,0.411623,0.40684095,0.40520015,0.40323165,0.40006474,0.3962964,0.3949345,0.39652726,0.40002656,0.4022121,0.40178928,0.39822173,0.39372846,0.39007375,0.38936427,0.39041904,0.39124086,0.38960218,0.38683888,0.38541642,0.3869485,0.38963738,0.39081058,0.3894256,0.3871424,0.38653055,0.38855854,0.39198077,0.3942143,0.39400598,0.39309558,0.3955368,0.4036161,0.41398275,0.4178771,0.40818134,0.3856977,0.3604752,0.34316003,0.3380899,0.34037182,0.34245494,0.33927807,0.33141616,0.321926,0.3127664,0.30286327,0.2895569,0.2722387,0.25264657,0.2333591,0.21414304,0.19308163,0.16866171,0.14269814,0.11848346,0.098691516,0.083418496,0.071641006,0.06236076,0.055281863,0.050163835,0.046585087,0.04421739,0.04282121,0.042225495,0.04191078,0.041402977,0.040403802,0.039043263,0.037615586,0.03626604,0.034970358,0.03343068,0.031504117,0.029154627,0.02903646,0.039043713,0.075205036,0.15289898,0.27519223,0.42048374,0.553234,0.64197594,0.6774378,0.6688347,0.6302286,0.5730116,0.50416344,0.43519315,0.37549484,0.3337028,0.30883658,0.29734597,0.29277337,0.29107308,0.2907046,0.29125944,0.29309788,0.2944946,0.29411027,0.29114327,0.28631797,0.28147677,0.27764782,0.27584004,0.2753997,0.27585578,0.27614382,0.27594408,0.27525842,0.27450553,0.27427676,0.27480426,0.27630702,0.27859053,0.28175437,0.28557965,0.2900902,0.29466668,0.29876626,0.30134037,0.30199695,0.30110475,0.301391,0.3073252,0.32223284,0.34320262,0.35945818,0.35817185,0.3336712,0.29193813,0.24561805,0.2053356,0.17486578,0.15271647,0.13592117,0.12304158,0.1152119,0.11661949,0.13172458,0.16141166,0.19963904,0.23696876,0.26652828,0.28858307,0.3072023,0.32543978,0.3421496,0.35481858,0.36178246,0.36337444,0.35998467,0.35102153,0.3350843,0.3110679,0.28060523,0.24827953,0.22164743,0.20665817,0.20517533,0.21246631,0.22131687,0.22553599,0.2238238,0.21826486,0.21254219,0.20915323,0.20867236,0.20926832,0.20951675,0.21277094,0.23079468,0.2788014,0.36318418,0.47129965,0.57504135,0.64817905,0.68042487,0.67963463,0.6588996,0.6277569,0.5880465,0.5415512,0.4930872,0.45161125,0.42360786,0.40985247,0.40559065,0.40464464,0.40292564,0.39963377,0.39680412,0.39712968,0.4014288,0.40774894,0.41298854,0.41585597,0.41722012,0.41845345,0.41921553,0.41823497,0.4147854,0.40948406,0.40301073,0.3953521,0.38607034,0.37548193,0.3646437,0.35487902,0.3466237,0.33949888,0.33233097,0.32448253,0.31651148,0.31065026,0.30884933,0.31110814,0.31539312,0.3203763,0.3268255,0.33463326,0.33931568,0.33248785,0.30935577,0.2730359,0.23317938,0.19795235,0.17033525,0.14881067,0.13141058,0.117167585,0.105814524,0.09683618,0.08943128,0.0828441,0.07663091,0.07075129,0.06538499,0.060762733,0.05690157,0.053638954,0.05075859,0.0481354,0.045780268,0.04368436,0.041753937,0.039802443,0.037702434,0.035519186,0.03341695,0.031571183,0.029989488,0.028606497,0.027276022,0.02590794,0.024456592,0.022976622,0.021566821,0.020317972,0.019287497,0.018432794,0.017677577,0.016886732,0.016662301,0.021913623,0.04572897,0.10866258,0.22360738,0.37951544,0.5370239,0.6525626,0.7039382,0.70091033,0.6669219,0.6222916,0.5750224,0.52886313,0.48532233,0.44775748,0.4171884,0.39489448,0.38008383,0.37174663,0.36720625,0.36397168,0.36005703,0.35460058,0.34726676,0.33864382,0.33056164,0.32585192,0.32610264,0.33043206,0.33561376,0.33850956,0.33754447,0.33310807,0.32682264,0.32088026,0.31755129,0.31829047,0.32281315,0.32906625,0.33428696,0.336684,0.33588728,0.33250114,0.32760158,0.3227755,0.3203013,0.32190326,0.3284349,0.33973598,0.35622528,0.3755921,0.39152277,0.3923539,0.37093732,0.32875514,0.2781509,0.231191,0.19478665,0.16789198,0.14722778,0.12989084,0.11501608,0.10254758,0.092551194,0.0847347,0.078614645,0.073770404,0.06988201,0.06666122,0.06365366,0.06051114,0.05704612,0.053463716,0.04996987,0.04676892,0.043833744,0.041253075,0.03909837,0.037488367,0.03623576,0.035049703,0.0336452,0.0321325,0.030811831,0.029994568,0.029600801,0.029383177,0.029610543,0.032007664,0.039997965,0.05663376,0.082068555,0.11149999,0.13781165,0.15776221,0.17817974,0.21725367,0.29164496,0.40333065,0.5295222,0.6375006,0.7017827,0.71767133,0.6960821,0.650461,0.59248215,0.52789277,0.46471563,0.408093,0.36385676,0.3322669,0.3121395,0.30057672,0.2951381,0.29402813,0.29535756,0.29842213,0.3020067,0.30496767,0.30607343,0.30553958,0.30496952,0.30565962,0.3077133,0.30988666,0.31096447,0.31021824,0.30743733,0.30345607,0.3001875,0.3006952,0.30631444,0.31548432,0.32349643,0.32657158,0.32389557,0.31821132,0.3125504,0.30861437,0.30616212,0.30460814,0.30433807,0.3075912,0.31841946,0.33889398,0.36572674,0.3882642,0.3960552,0.38564172,0.36472905,0.34449542,0.33287236,0.33002654,0.33233598,0.33551633,0.3374203,0.3369935,0.33338496,0.32493266,0.30988276,0.2894337,0.2683977,0.25416395,0.24986565,0.2532175,0.25662136,0.25371575,0.24016993,0.21575697,0.18293284,0.14800875,0.117881216,0.0978258,0.089815386,0.09523309,0.11570675,0.15020926,0.19219841,0.23020695,0.25600773,0.26753762,0.26961818,0.26619807,0.2592855,0.24734432,0.229733,0.20704688,0.18284224,0.16332352,0.15872622,0.18412067,0.25184056,0.36153996,0.4891437,0.60064435,0.6677664,0.68794423,0.67168593,0.63469416,0.58390206,0.52747685,0.47357348,0.4318955,0.40556547,0.3916234,0.38367024,0.37583625,0.36591145,0.3547492,0.34560683,0.34039572,0.33849695,0.3370842,0.33403865,0.32958904,0.3256574,0.3237354,0.32331145,0.32274783,0.32077157,0.31814966,0.31661966,0.31812134,0.3224317,0.3278316,0.33125272,0.33146998,0.32930824,0.32743156,0.32729277,0.32829753,0.32873216,0.32760394,0.32557043,0.3234426,0.32210252,0.32256636,0.32803464,0.3412473,0.3612121,0.37941638,0.38501787,0.3718733,0.34432766,0.31270608,0.2864493,0.2690929,0.25964448,0.255503,0.2539768,0.2526758,0.24930531,0.24254619,0.23169674,0.21686506,0.19835036,0.17693989,0.15371083,0.13034293,0.108976044,0.091638625,0.07911924,0.07052017,0.06400978,0.05815981,0.052577097,0.047619518,0.043690402,0.04086365,0.038830563,0.03714555,0.03546236,0.033689793,0.031956647,0.03040968,0.029067025,0.027788602,0.026479224,0.025193533,0.024086887,0.023208896,0.022422671,0.02355476,0.034135323,0.07061844,0.15096325,0.27970257,0.43515432,0.57820874,0.6762302,0.72211665,0.7311204,0.7208879,0.6986769,0.6615234,0.6086524,0.5466048,0.48814878,0.4436395,0.4170508,0.4050893,0.4018416,0.40101007,0.3995757,0.39592397,0.3911426,0.38533506,0.38019022,0.3763912,0.37628618,0.37937734,0.38414562,0.38587216,0.38265392,0.37469807,0.36664796,0.36128747,0.35960332,0.35811242,0.35461316,0.34843624,0.3431383,0.3410572,0.3427069,0.34445307,0.34398928,0.34122983,0.34003064,0.34258452,0.34894034,0.35645187,0.36527088,0.37622508,0.38807082,0.39250246,0.37982425,0.34630692,0.29862133,0.24860537,0.20537533,0.1721977,0.14775144,0.12975855,0.115947545,0.10487848,0.095463224,0.087235756,0.07990674,0.073523425,0.06817741,0.06384673,0.060153987,0.056581408,0.052911308,0.049300026,0.046069894,0.043342948,0.04103187,0.03896335,0.036999647,0.035100315,0.033290442,0.03165351,0.030202344,0.028874934,0.027569788,0.026274068,0.025050191,0.023935342,0.022884011,0.021791473,0.020607384,0.019321384,0.017989015,0.016659869,0.015426087,0.015135247,0.020699894,0.044858348,0.10658344,0.21750896,0.3658701,0.51525956,0.6260379,0.68030363,0.687131,0.6658904,0.63058335,0.5862619,0.5382429,0.4929858,0.4580121,0.43470347,0.4211527,0.41216496,0.40419242,0.39453682,0.38284346,0.36972165,0.3569311,0.3456626,0.33687624,0.3310676,0.32921126,0.33106783,0.33503354,0.33791962,0.33794335,0.33580065,0.33482048,0.33827424,0.34716415,0.3595407,0.37166262,0.38002923,0.38229728,0.37731853,0.3652793,0.34803763,0.3295585,0.31435657,0.305945,0.30543843,0.3120011,0.32427382,0.34180573,0.3654255,0.39367405,0.41994116,0.43280622,0.42432702,0.39611575,0.35919264,0.3250552,0.29928425,0.28083846,0.2664239,0.25305584,0.2381367,0.21906237,0.19550641,0.17173058,0.15661448,0.1578236,0.17654628,0.20484954,0.231224,0.245588,0.24414901,0.22803114,0.2029518,0.17649879,0.15684877,0.15048866,0.15970474,0.182195,0.21032567,0.23642397,0.25469697,0.26455066,0.2668908,0.26394388,0.2577001,0.25089538,0.24429105,0.2356456,0.2208633,0.19889967,0.1738705,0.15228447,0.13798894,0.13363399,0.14611779,0.19162421,0.28210762,0.4131688,0.55474204,0.67286134,0.7451742,0.77138424,0.75867885,0.713739,0.641609,0.55265397,0.46337238,0.3911791,0.34579912,0.32703567,0.32581124,0.33206567,0.33859587,0.34283233,0.3445718,0.34405014,0.3425605,0.34110853,0.34112504,0.34257627,0.34561893,0.34947625,0.35345915,0.35653374,0.35854366,0.35951543,0.35847226,0.35293365,0.340843,0.32364878,0.30696163,0.29766914,0.29906774,0.3084533,0.31843004,0.32175156,0.31532577,0.30162856,0.2864218,0.27471676,0.26985067,0.27388728,0.29106188,0.3233223,0.36725596,0.41019407,0.43940115,0.44904003,0.44461706,0.43535575,0.42819202,0.42412576,0.4202428,0.4105258,0.38788375,0.34784207,0.2941264,0.24011384,0.20230496,0.19039683,0.20103325,0.22178783,0.2396517,0.24858151,0.24985488,0.24827607,0.24761826,0.24885945,0.25099203,0.2523847,0.25204793,0.25002512,0.24741255,0.24552272,0.24486758,0.24492903,0.24452184,0.24282785,0.23970543,0.23587698,0.23238881,0.230088,0.22934197,0.22993797,0.23151034,0.23347366,0.23538269,0.2392324,0.252145,0.2882545,0.35834214,0.45994106,0.5692739,0.6590051,0.7122001,0.73301846,0.7292177,0.70416945,0.65408725,0.5827331,0.50427514,0.4369273,0.3911707,0.36470893,0.349684,0.33842802,0.3287489,0.3196775,0.31035635,0.29923168,0.28657588,0.27515972,0.26776692,0.26543725,0.26641536,0.26833698,0.26945803,0.2692922,0.2682706,0.2668372,0.26555595,0.26441827,0.26351237,0.26254246,0.2614722,0.2603539,0.2595105,0.2594211,0.26021972,0.26201424,0.26427236,0.2666774,0.26841837,0.26929158,0.27017364,0.27503178,0.29018512,0.3189797,0.35542694,0.38325024,0.3862951,0.35998285,0.31431016,0.26473734,0.22182262,0.18831784,0.16278887,0.14348589,0.1292322,0.118586116,0.110163845,0.10289848,0.096556135,0.09100414,0.08607968,0.081403576,0.0768021,0.07224316,0.06787539,0.06374466,0.059849277,0.05607976,0.052399028,0.04885173,0.04558832,0.042704448,0.04022658,0.038028732,0.035961267,0.03379568,0.031434078,0.028902354,0.026432334,0.024260448,0.022508016,0.021138133,0.019971041,0.018832607,0.017605042,0.016328415,0.015101819,0.01673188,0.030294085,0.07415811,0.1653213,0.3046756,0.46527353,0.6070377,0.6993988,0.7373898,0.73440504,0.70538735,0.6589286,0.59737515,0.5258499,0.45322403,0.39186367,0.35027114,0.32957932,0.3237268,0.32453397,0.3264197,0.32739434,0.32658753,0.32319462,0.31649813,0.30881628,0.3036263,0.30381265,0.30733943,0.30977055,0.30700913,0.30024958,0.2937956,0.29201376,0.29432335,0.2968259,0.29527128,0.28981397,0.2838945,0.2814708,0.2826499,0.2845459,0.2837566,0.28035197,0.27691993,0.27641618,0.27844572,0.28140697,0.2857276,0.29785448,0.32436785,0.36354223,0.39937437,0.41101494,0.38735327,0.3356031,0.27412865,0.21932785,0.17802905,0.14907236,0.12870912,0.11390703,0.10308296,0.09548078,0.090438575,0.087073125,0.084220946,0.081019334,0.07694473,0.07212877,0.06700144,0.06236069,0.05870122,0.05602083,0.053664375,0.050982952,0.047754984,0.044302534,0.041089308,0.038363155,0.036104135,0.03411429,0.032220427,0.030303285,0.02838291,0.026549669,0.024879575,0.023347596,0.021836335,0.0202745,0.018669019,0.017111734,0.01568859,0.014477172,0.015021545,0.023622334,0.05428219,0.12404134,0.23954152,0.38537464,0.52813756,0.63767153,0.70301217,0.7310204,0.72840935,0.6949399,0.6298089,0.54468036,0.46127808,0.39835617,0.36149558,0.34435287,0.33873355,0.33821762,0.33984163,0.34064588,0.33954525,0.33602703,0.3309751,0.3251625,0.31993744,0.31663966,0.3160654,0.31747124,0.3190268,0.31878853,0.3160301,0.31114948,0.30566725,0.30150124,0.3005428,0.3036213,0.30977395,0.31672573,0.3218846,0.32376218,0.32214785,0.31796145,0.31308332,0.30976412,0.3101329,0.31471935,0.32344115,0.33691582,0.35735035,0.38402703,0.40893117,0.41757095,0.39913547,0.35477588,0.29752633,0.24215506,0.19767047,0.16557038,0.14421725,0.1315497,0.12645715,0.12748395,0.13298152,0.14092012,0.15114088,0.16402991,0.18008147,0.196617,0.21044244,0.21876436,0.22235893,0.22323567,0.224097,0.22640099,0.2311153,0.23811756,0.246273,0.25330764,0.25737846,0.25839964,0.25826952,0.25830683,0.25764441,0.25337023,0.24361105,0.22807954,0.20703763,0.18010221,0.14800364,0.11511913,0.088133864,0.073099665,0.07216183,0.08762586,0.12537369,0.1979096,0.31155947,0.45709336,0.603192,0.71660113,0.7780654,0.7912554,0.7696049,0.72367793,0.6606298,0.5867769,0.514074,0.452148,0.4074149,0.37838316,0.3606552,0.34934285,0.34178922,0.33762017,0.3363613,0.33633164,0.33523512,0.33142555,0.32610932,0.32067814,0.31700706,0.31460473,0.3131031,0.31161824,0.310433,0.31020784,0.31176838,0.31587046,0.32224193,0.33017376,0.3373079,0.34172606,0.34139228,0.33712316,0.33030918,0.3242487,0.32029378,0.3196834,0.32120085,0.324353,0.32947394,0.340614,0.36351013,0.39928916,0.43969777,0.46767798,0.47066244,0.44789803,0.41158617,0.3747469,0.3451636,0.32416216,0.3108537,0.303452,0.29862627,0.29230085,0.28153637,0.2665492,0.24940579,0.2317635,0.21323039,0.19273119,0.17037193,0.14830102,0.12913157,0.11447689,0.10419413,0.0970929,0.09168571,0.08696904,0.082810394,0.07968486,0.07824231,0.07933862,0.085122146,0.09897807,0.122938894,0.15357381,0.18089287,0.19305915,0.1842766,0.15917744,0.12972726,0.10660819,0.09339816,0.08660924,0.081632785,0.07931415,0.08945644,0.13046324,0.2161844,0.34491006,0.48975196,0.617512,0.70293903,0.7433856,0.74347854,0.7092448,0.6437491,0.5578342,0.4703544,0.39946985,0.355019,0.3339614,0.32943538,0.33164796,0.33467045,0.33440518,0.33181003,0.3286701,0.32593915,0.3224886,0.31820214,0.31426176,0.31280586,0.31346843,0.31545696,0.31676373,0.31699404,0.31509992,0.31147373,0.3069891,0.3040162,0.30434823,0.30809608,0.31375518,0.31892434,0.32257465,0.32406232,0.3242701,0.3234158,0.32278696,0.32244802,0.322651,0.3234407,0.3274599,0.33934686,0.3604546,0.3840681,0.39500216,0.38135707,0.34244648,0.29068923,0.24040067,0.20021845,0.17079513,0.14955217,0.13399732,0.122656345,0.114468895,0.10844465,0.103776604,0.09999892,0.09692655,0.09455929,0.09271637,0.09094256,0.0885373,0.08499789,0.080404155,0.0754321,0.070985846,0.067495465,0.064738624,0.061960254,0.058616,0.054995667,0.052519053,0.05336644,0.05876456,0.06791311,0.07738686,0.08370579,0.08494828,0.082093425,0.076986305,0.07105119,0.064373374,0.056692827,0.04821856,0.039877977,0.03523757,0.042866696,0.07885407,0.15789336,0.2817448,0.4283315,0.56365293,0.65874475,0.7060973,0.71352816,0.69328904,0.65173763,0.59230006,0.521516,0.45222974,0.39811024,0.36552492,0.35062146,0.34453738,0.3405594,0.33676037,0.3330363,0.32848155,0.32136604,0.31200376,0.30319247,0.2984527,0.29833794,0.29993537,0.29943174,0.29597077,0.29224023,0.29137686,0.29348084,0.2955036,0.29444563,0.2904706,0.28636077,0.28458667,0.28459823,0.2839758,0.28132752,0.27833226,0.27813792,0.2820672,0.28811944,0.29252887,0.2938757,0.2947427,0.3009479,0.31524515,0.33406493,0.34631887,0.34193,0.3173049,0.2791172,0.23753285,0.20112748,0.17266835,0.15140714,0.13521424,0.12256435,0.11249294,0.10441613,0.09797881,0.09310534,0.08982465,0.088303566,0.089177996,0.094494276,0.10690528,0.12793396,0.15484236,0.18187346,0.20295905,0.21686877,0.22662725,0.23717041,0.25059384,0.26540872,0.27848044,0.2870679,0.29073521,0.28881195,0.28159568,0.26834103,0.25079477,0.23064952,0.21113211,0.19412436,0.18177605,0.17494114,0.17339118,0.17508937,0.17836042,0.18623294,0.20946819,0.2633629,0.35499582,0.47288167,0.587676,0.6702774,0.70749664,0.7063454,0.68171287,0.6451218,0.6016776,0.55513054,0.5118087,0.47854507,0.45829728,0.4484314,0.44250667,0.4346578,0.4214451,0.4042473,0.3862716,0.3716537,0.361003,0.35425675,0.35009333,0.34890297,0.34955382,0.35040423,0.34943536,0.34696373,0.34556773,0.34816113,0.35603645,0.36771896,0.3800907,0.39002752,0.39596558,0.39832258,0.3983736,0.39731827,0.39584187,0.39441672,0.3932576,0.39209214,0.3902603,0.38769218,0.3857408,0.38783857,0.39733514,0.4136828,0.42983404,0.4351671,0.42376482,0.3984803,0.3687267,0.3419068,0.3201594,0.30141783,0.2839306,0.2674251,0.25217834,0.23763108,0.22217886,0.2043194,0.1834334,0.16059299,0.13798602,0.11808964,0.10230454,0.090578966,0.08186212,0.07500381,0.06935102,0.06481614,0.06176245,0.06087907,0.06265998,0.066879265,0.07217594,0.07702602,0.080821164,0.084745705,0.09051892,0.099256694,0.10994648,0.12015254,0.12623735,0.12565094,0.117873065,0.105842374,0.09394186,0.08609877,0.08442593,0.09248215,0.11925745,0.17907691,0.28101555,0.41685095,0.5579233,0.6716394,0.739064,0.76185584,0.75000757,0.7110055,0.6493638,0.57240194,0.49392462,0.4261695,0.3769218,0.34514531,0.32754597,0.31886482,0.31586313,0.3159447,0.31789812,0.3206365,0.3232217,0.32454655,0.32461134,0.3234192,0.32228577,0.3212469,0.3212293,0.32150027,0.32239166,0.32295036,0.3234708,0.32347333,0.32364395,0.3238838,0.32473695,0.3257073,0.3267579,0.32715192,0.32698122,0.32618144,0.3252826,0.32443595,0.323652,0.3228538,0.3232783,0.32811287,0.3415315,0.36272347,0.3834729,0.38902035,0.3702428,0.32841393,0.27637783,0.22684957,0.18787777,0.15988272,0.1405978,0.12672246,0.11619855,0.10789711,0.101736695,0.09784836,0.09593155,0.09512762,0.09424102,0.092650205,0.09036865,0.088018775,0.08594824,0.084106155,0.082068376,0.07954064,0.076470315,0.0729982,0.069357,0.065918736,0.063436,0.06297104,0.06553736,0.07102815,0.07790678,0.083490916,0.08582038,0.084450535,0.08076042,0.07638451,0.072510146,0.06930008,0.0664933,0.06381098,0.061260175,0.06278092,0.078787416,0.12849087,0.22530997,0.3648735,0.51621526,0.6420912,0.71912795,0.7467348,0.73711866,0.6979108,0.6354078,0.5539785,0.4673051,0.38864648,0.33071092,0.2971703,0.28478265,0.28456587,0.28718948,0.2867373,0.28316227,0.27889803,0.27714023,0.27657163,0.2755537,0.27164263,0.26638988,0.26163515,0.259302,0.25928867,0.26048133,0.26230547,0.26411936,0.26618305,0.26793635,0.2695414,0.27078578,0.27189812,0.27270937,0.27306888,0.27297962,0.27247062,0.27183104,0.27091774,0.27014288,0.2696466,0.27153027,0.27849698,0.29534373,0.32150817,0.34997892,0.36458135,0.35368085,0.3159288,0.26465777,0.21491827,0.17662369,0.15015925,0.13228026,0.11949676,0.110152245,0.10331369,0.0981113,0.09366134,0.08952132,0.08590645,0.08321986,0.0814158,0.07993809,0.07816931,0.07600016,0.07372805,0.07178331,0.07028665,0.0689902,0.06734091,0.064788416,0.06112792,0.056908906,0.053619202,0.053425685,0.057739776,0.06596438,0.074990496,0.08132701,0.08297026,0.080535375,0.075633295,0.06958756,0.06261886,0.05461389,0.04570061,0.036648482,0.031167334,0.03887785,0.07734499,0.16219093,0.2931017,0.44434443,0.5777318,0.66552854,0.7039285,0.7066164,0.686364,0.6478042,0.59053624,0.5194158,0.446888,0.38691387,0.34762883,0.3273227,0.32027766,0.3206892,0.3256491,0.33139563,0.33412853,0.33166823,0.32708535,0.32562113,0.33021986,0.3380278,0.343299,0.34201625,0.33506954,0.32665613,0.32103834,0.31928873,0.31977454,0.31964073,0.31795654,0.31520292,0.31301367,0.31125405,0.3092525,0.3054119,0.30022776,0.29477438,0.2914541,0.29054764,0.29125193,0.29175362,0.29366946,0.30175495,0.31957862,0.3426809,0.35766113,0.3518398,0.32235867,0.2788292,0.23420401,0.1973614,0.16988587,0.14968787,0.1340505,0.121655114,0.11217609,0.105544694,0.10109391,0.09783114,0.0949217,0.09205412,0.0891215,0.08602347,0.08265286,0.07911689,0.075708084,0.07276122,0.070489615,0.06887218,0.067661285,0.06636504,0.064596504,0.06251333,0.06112505,0.062004387,0.0660223,0.072582625,0.07930771,0.083830215,0.084840454,0.082948156,0.079337984,0.07496424,0.069835596,0.06356793,0.055874288,0.04702126,0.040001806,0.04334545,0.07340983,0.146015,0.26410267,0.40743446,0.54380536,0.647497,0.71282285,0.74487615,0.74615604,0.71206254,0.64282364,0.5516557,0.46237114,0.39448133,0.35587367,0.3419466,0.3441035,0.3534343,0.363955,0.3721143,0.37705955,0.37932453,0.37967026,0.3786141,0.37680838,0.37512526,0.3742099,0.3737642,0.37275866,0.3706012,0.36787105,0.36626068,0.36689356,0.3694779,0.3724023,0.3740828,0.373948,0.37215284,0.36879775,0.36357608,0.35633925,0.3483098,0.34170794,0.3389455,0.34044373,0.34512886,0.35206795,0.36280707,0.37946308,0.39911306,0.4113216,0.40241972,0.36682105,0.31074548,0.24914171,0.19435807,0.1524516,0.12247675,0.10178883,0.08728376,0.077085964,0.06955349,0.06374158,0.05897237,0.055094596,0.052052435,0.0496792,0.047566205,0.045342643,0.042914182,0.040400278,0.03788575,0.035359524,0.032820664,0.030395089,0.028219001,0.026334057,0.02465687,0.023090268,0.021613838,0.020267656,0.019076312,0.017968157,0.016849138,0.015675658,0.014503467,0.013391972,0.012356374,0.011381946,0.01047112,0.009678487,0.00904633,0.008612953,0.008346635,0.0081940545,0.008048928,0.007836475,0.0075164842,0.0071198717,0.0066937148,0.0062792213,0.005891263,0.0055293553,0.005189419,0.0048610345,0.004541828,0.0042331987,0.0039436673,0.0036718918,0.0034099298,0.003153703,0.002911809,0.0027057992,0.0025498886,0.0024413979,0.002350105,0.0022416625,0.0020990733,0.0019414678,0.0018001939,0.0016887343,0.0015860986,0.0014627296,0.0013104365,0.0011513579,0.0010123256,0.00090294174,0.00081368367,0.0007337935,0.0006598832,0.0005934189,0.0005338848,0.00047983823,0.0004318777,0.00039167408,0.00035943778,0.0003328592,0.00031020923,0.00029017258,0.00027156927,0.00025202482,0.00023021597,0.00020651898,0.00018270123,0.00016020432,0.00013978401,0.00012201716,0.00010752209,9.652366E-05,8.838467E-05,8.184587E-05,7.58931E-05,7.019041E-05,6.502941E-05,6.0693073E-05,5.719911E-05,5.4229564E-05,5.1430103E-05,4.8604037E-05,4.583964E-05,4.3384138E-05,4.150931E-05,4.0394065E-05,4.015643E-05,4.0686497E-05,4.160707E-05,4.2235308E-05,4.2042873E-05,4.0826333E-05,3.8813185E-05,3.6184872E-05,3.299244E-05,2.909429E-05,2.4583096E-05,1.9889201E-05,1.5783085E-05,1.30289945E-05,1.1868148E-05,1.1932093E-05,1.2338301E-05,1.2581077E-05,1.2653159E-05,1.3024802E-05,1.3823847E-05,1.4703808E-05,1.5039534E-05,1.4412315E-05,1.3001293E-05,1.1453031E-05,1.0653792E-05]