[5.7342346E-05,4.9285707E-05,3.3921722E-05,1.9369085E-05,1.0009247E-05,5.8254514E-06,4.157951E-06,3.41581E-06,3.0147519E-06,3.0243048E-06,3.366454E-06,3.8409257E-06,4.2033776E-06,4.427483E-06,5.8241108E-06,1.4934728E-05,4.97078E-05,0.00014274706,0.0003307578,0.00063358556,0.0010378957,0.0015010322,0.0019690802,0.0023918746,0.0027430318,0.0030311102,0.0033059006,0.0036146287,0.003974983,0.004358932,0.0047383537,0.0050905305,0.0053997897,0.0056536044,0.0058717877,0.006123332,0.0064443476,0.006776795,0.006959263,0.006918023,0.0069382056,0.008891109,0.016795876,0.03679407,0.07184463,0.11858711,0.16495973,0.19896841,0.21369302,0.21299738,0.20481028,0.19753323,0.19387917,0.19313216,0.19322725,0.1946776,0.19994129,0.21000652,0.22227472,0.23163754,0.23566312,0.235584,0.23463845,0.23287503,0.22781211,0.21680607,0.20166552,0.18683954,0.17686646,0.17198138,0.1696896,0.16678238,0.16311239,0.1604032,0.16046415,0.16260396,0.16491252,0.16610557,0.16705976,0.16956098,0.17452323,0.181261,0.18861467,0.19687866,0.20730484,0.22061592,0.23465687,0.24618421,0.25276944,0.25500152,0.25474834,0.25389144,0.25346288,0.25454354,0.2584202,0.26608554,0.2771505,0.28990516,0.30151197,0.3096595,0.31251037,0.30964175,0.30096388,0.28742465,0.27050212,0.25267684,0.23701273,0.22636831,0.22254904,0.22500958,0.23128457,0.23791657,0.24235468,0.24382587,0.24297513,0.24077602,0.23744202,0.23268348,0.22680692,0.22118598,0.21763943,0.21675499,0.21752542,0.21773453,0.21477617,0.20651048,0.19188647,0.17259015,0.15264358,0.13758497,0.13087738,0.1325553,0.13873099,0.14485095,0.14801134,0.1483282,0.1470745,0.14511263,0.14227958,0.13903554,0.13727628,0.13993986,0.14830808,0.16073328,0.17291242,0.18093519,0.1829723,0.17942418,0.17133515,0.15960719,0.14604615,0.13399073,0.12881017,0.13482916,0.15304457,0.17866965,0.20422487,0.22344823,0.23506236,0.24128272,0.24469228,0.24567336,0.24300086,0.23564877,0.22431535,0.2113293,0.1997155,0.19149752,0.18713629,0.18497203,0.18261428,0.17725527,0.16750108,0.1533212,0.13821109,0.12872769,0.13337578,0.15547495,0.18970144,0.22230868,0.24176568,0.24449567,0.2368318,0.22668092,0.21946187,0.21576029,0.21453162,0.21461396,0.21576458,0.21816774,0.22191615,0.22652018,0.23090512,0.23353557,0.23341984,0.23079173,0.22756933,0.22640882,0.22914569,0.23596506,0.2447232,0.25227562,0.25489387,0.25083584,0.240058,0.22492026,0.20770222,0.19099031,0.1765831,0.16670859,0.16268046,0.16503595,0.17201199,0.1803999,0.18587393,0.18581785,0.17992584,0.17080466,0.16139002,0.15386133,0.14827901,0.14378035,0.13964967,0.13621001,0.13422121,0.13340789,0.13247894,0.129882,0.12544237,0.120029956,0.114922665,0.11064061,0.1074197,0.10571095,0.10699316,0.11215525,0.120439015,0.12841989,0.13306826,0.133397,0.13146484,0.1293812,0.12806784,0.12714511,0.1267805,0.12805104,0.13181762,0.13739467,0.14236575,0.14438382,0.14258353,0.13818085,0.13294965,0.12822013,0.124197304,0.121409826,0.121540636,0.12829953,0.14452651,0.16959858,0.19681306,0.21757634,0.22615243,0.22521405,0.22243129,0.22585167,0.23599263,0.24818937,0.25618088,0.26121902,0.26933455,0.2871726,0.3123907,0.33628646,0.3486437,0.34637323,0.3330042,0.3156465,0.2995993,0.28716433,0.2780666,0.27135554,0.26604605,0.26127216,0.25581214,0.24852185,0.23902471,0.22833133,0.21818005,0.20983444,0.20348625,0.19907649,0.19740212,0.19933338,0.20400582,0.20775719,0.20659502,0.198963,0.18706852,0.17459607,0.16435386,0.15693653,0.15138246,0.14635296,0.14118285,0.13634555,0.13287306,0.13116859,0.13021286,0.12802082,0.1232264,0.116169445,0.108912,0.10427007,0.10447058,0.11024926,0.119792365,0.12959896,0.13580467,0.13679643,0.13333893,0.12758525,0.121206224,0.11501757,0.10976037,0.106287725,0.10541821,0.106978364,0.10990286,0.11244443,0.1129145,0.110377975,0.10505837,0.09848226,0.092470296,0.08844613,0.08682302,0.088123195,0.09361511,0.104949154,0.121822715,0.14042896,0.15559958,0.1649431,0.17244524,0.1844703,0.20473428,0.2286127,0.24832642,0.25738811,0.2570232,0.2518243,0.24695705,0.24312645,0.23927225,0.23423965,0.23031642,0.23074585,0.23768024,0.24811709,0.2570059,0.2598249,0.25800022,0.25555074,0.25692496,0.26139927,0.26606798,0.26728967,0.26494178,0.26071957,0.25709695,0.25491533,0.25342453,0.25120363,0.24728896,0.24206136,0.23622762,0.23066641,0.2254522,0.2211234,0.21815634,0.21775012,0.22031754,0.2257001,0.23217523,0.23763458,0.23955673,0.23641746,0.22751373,0.2142486,0.19952114,0.1875711,0.18182497,0.18358053,0.1910006,0.19980116,0.20535813,0.20484324,0.19852847,0.18868347,0.1779175,0.16797669,0.16013156,0.15587021,0.15676326,0.16345,0.17471893,0.18762021,0.19862741,0.20481294,0.20474656,0.1983372,0.1868983,0.17317343,0.16217719,0.16051276,0.17362803,0.20208973,0.24021094,0.279268,0.31151554,0.33330706,0.3444468,0.34768137,0.34620693,0.34196463,0.33365956,0.31924704,0.29881075,0.27699575,0.25992903,0.25298905,0.25788304,0.27400824,0.2970914,0.32181707,0.34254467,0.35762754,0.36811325,0.37669685,0.38396558,0.38824475,0.38677227,0.3770816,0.35793915,0.3279456,0.28777125,0.24115111,0.19698276,0.16485755,0.15210079,0.1602299,0.18609764,0.22172426,0.25742018,0.285176,0.30252472,0.31084004,0.311369,0.3037441,0.2894859,0.27615604,0.27373657,0.28744873,0.31167516,0.33454335,0.34475994,0.33723548,0.31247818,0.2753351,0.23366827,0.19576006,0.16709262,0.14811152,0.13606314,0.12755954,0.120669566,0.11484753,0.11064956,0.10896502,0.11012814,0.11321508,0.116213016,0.11733908,0.115891725,0.11245006,0.1079736,0.10331566,0.09901,0.09537685,0.09252691,0.09023914,0.088216744,0.086183846,0.08410237,0.08194438,0.0797343,0.077551216,0.07558393,0.073970266,0.072778605,0.07236941,0.073738605,0.07783762,0.08441814,0.09124163,0.095597364,0.09599617,0.09326583,0.089234985,0.085549,0.083339244,0.08417859,0.09092313,0.10718414,0.13578723,0.17684744,0.22645454,0.27715066,0.31973985,0.34749565,0.35899296,0.35895774,0.35487422,0.3528107,0.35451102,0.3563741,0.3513907,0.33246484,0.2990515,0.26035646,0.2333623,0.23220885,0.25919104,0.30280894,0.34661376,0.37882838,0.3969626,0.40402558,0.40312102,0.39372084,0.37332246,0.34090042,0.29998502,0.2569156,0.2175095,0.18567114,0.16613488,0.16600327,0.1895631,0.23231982,0.27974582,0.31742832,0.33777437,0.34233546,0.33447814,0.31740078,0.29325184,0.2654403,0.23706049,0.21040773,0.18675415,0.1671478,0.15201642,0.14090832,0.132755,0.12660363,0.121736355,0.1175055,0.113376625,0.1094648,0.1066412,0.10590441,0.107241444,0.10938365,0.110597014,0.10996097,0.107631296,0.104310594,0.100542665,0.09663703,0.092770815,0.08896103,0.085104465,0.08109841,0.077118956,0.07342992,0.07034021,0.068015635,0.066580184,0.06597802,0.06601941,0.06662247,0.06807837,0.071134835,0.076248996,0.08290463,0.089315556,0.09350133,0.09452447,0.092922926,0.09001959,0.08683888,0.083848305,0.08098286,0.07802949,0.07479461,0.071324594,0.067948796,0.06496166,0.062556006,0.060784716,0.059857428,0.05990885,0.06083178,0.062233016,0.06412978,0.06746662,0.07394004,0.08442687,0.09773132,0.11052116,0.119462036,0.12302203,0.12203141,0.11825883,0.1131717,0.10745592,0.10136706,0.09505516,0.088717975,0.08260594,0.07735986,0.07450661,0.0772649,0.09000099,0.1156859,0.15219878,0.19093247,0.22210462,0.24297059,0.2621237,0.29119363,0.33298066,0.37614074,0.4050388,0.41064882,0.3956398,0.36851692,0.3391292,0.314931,0.3004525,0.29645804,0.30051306,0.3076534,0.30961713,0.29783583,0.2693359,0.23414673,0.21116756,0.21682073,0.25211194,0.30388632,0.35476092,0.39468822,0.4218253,0.43683478,0.43751296,0.4205029,0.3876084,0.34875402,0.3180224,0.30354917,0.30265328,0.3049544,0.30305338,0.29725638,0.2924368,0.28940013,0.28280762,0.2658474,0.23730494,0.20213664,0.16715676,0.13632019,0.11073012,0.09080302,0.077562585,0.07142077,0.070910014,0.07302769,0.0749153,0.0752556,0.07412449,0.07223186,0.07012683,0.068248056,0.06690333,0.06627551,0.066229105,0.06644076,0.06649497,0.0663713,0.06680078,0.06970013,0.07706935,0.089248575,0.10353149,0.11576694,0.1244398,0.13362078,0.15099268,0.18110299,0.22001183,0.25677338,0.28023162,0.28521827,0.2730074,0.24851404,0.21730496,0.18596457,0.16303945,0.15867831,0.1779412,0.21571107,0.2555871,0.2811607,0.28412318,0.26939335,0.24753888,0.22880556,0.21585345,0.20588832,0.19603507,0.19055371,0.1972611,0.21884571,0.246876,0.26968983,0.2806143,0.2805195,0.27058518,0.2507545,0.22230369,0.1912967,0.16520213,0.14786859,0.138101,0.13226865,0.12752509,0.12260894,0.117324226,0.11177462,0.10616073,0.10079267,0.0962506,0.09346519,0.09359812,0.09719461,0.1033656,0.1097038,0.11372188,0.11437126,0.11242346,0.10942754,0.106466465,0.10385976,0.101329826,0.098610945,0.09548587,0.09221012,0.08916545,0.08693746,0.08559158,0.08485329,0.08392584,0.082242064,0.07950565,0.076133035,0.07296271,0.07130903,0.07222072,0.07586231,0.08088663,0.085107006,0.086810865,0.08582729,0.08335173,0.0807732,0.07888795,0.07767506,0.076824754,0.07591441,0.07471472,0.07313036,0.071402855,0.07022413,0.071101405,0.076554306,0.089029014,0.109681614,0.13741411,0.17088574,0.20959075,0.25334302,0.2992567,0.34149095,0.37478915,0.3966942,0.40709114,0.40431407,0.38808718,0.36164358,0.33422908,0.31461015,0.30862916,0.3168312,0.33696616,0.36265567,0.38413298,0.38992536,0.37258363,0.33480147,0.2907324,0.26052603,0.25717145,0.28110746,0.31958863,0.3581699,0.3838694,0.3927549,0.38608932,0.37197816,0.35647905,0.34298897,0.32922995,0.31222215,0.28976646,0.26265833,0.23401581,0.20768933,0.18671751,0.17194968,0.1628807,0.15790617,0.15542895,0.15368508,0.151698,0.14912872,0.1466171,0.1447748,0.14386596,0.143264,0.14204653,0.13953973,0.1358249,0.13148318,0.12702957,0.12263876,0.11825337,0.11398638,0.110020995,0.106511325,0.10330085,0.1002649,0.097263165,0.094350584,0.09148473,0.08879629,0.086360216,0.084344305,0.08285289,0.08245247,0.08418202,0.08900702,0.09656588,0.10471169,0.110581785,0.11236432,0.11008215,0.1050157,0.09851708,0.09168161,0.0852277,0.079703026,0.07525275,0.071789645,0.069328815,0.06862885,0.07174841,0.08168715,0.100816526,0.12852086,0.16010946,0.18879259,0.21040678,0.22714369,0.24518454,0.26666692,0.28363517,0.284072,0.26493853,0.2403825,0.22950514,0.23930633,0.25614008,0.262534,0.25499475,0.2477486,0.25538215,0.27707836,0.29969323,0.31020913,0.30578077,0.28831473,0.2608176,0.22605473,0.1907438,0.16370611,0.15218763,0.15922505,0.18340833,0.21958049,0.2583161,0.2899203,0.3082002,0.31360886,0.30946788,0.29888132,0.28342283,0.26492536,0.2460611,0.2287242,0.21373294,0.2007919,0.19018312,0.18189941,0.17570986,0.17064911,0.16609468,0.16194655,0.15859686,0.15643331,0.15556721,0.1557114,0.15618841,0.15605076,0.15457524,0.1514792,0.14715914,0.14223091,0.1373306,0.13273953,0.12853785,0.12467182,0.1211436,0.11792799,0.11504463,0.11246315,0.11026191,0.10836812,0.10670576,0.10502001,0.10323677,0.10144756,0.100346155,0.10123541,0.105629474,0.11393873,0.12436698,0.13320275,0.13679278,0.133606,0.12494349,0.1136865,0.10270929,0.09368649,0.08714623,0.082772076,0.079898655,0.07777249,0.075890474,0.07427621,0.073732294,0.07576103,0.08205577,0.09363831,0.11066309,0.13304985,0.16072766,0.19243737,0.2236712,0.247227,0.25619903,0.249022,0.23093404,0.21216846,0.2009263,0.19943035,0.20420654,0.21367516,0.23128527,0.26265588,0.30638877,0.35108408,0.38018277,0.38115942,0.35176635,0.29927573,0.23694538,0.17768906,0.13180797,0.105988614,0.10492149,0.12884575,0.17032804,0.21403635,0.24374594,0.25117972,0.23905902,0.21663249,0.1926891,0.17212826,0.15615591,0.14420538,0.13512723,0.12811835,0.122827075,0.11965901,0.11973721,0.12507392,0.13658006,0.15193023,0.16502213,0.17151952,0.1746298,0.18589061,0.2150536,0.26032004,0.30596182,0.3341588,0.3356457,0.31435338,0.2793917,0.23906551,0.1985351,0.1646536,0.14740641,0.15537286,0.1876822,0.23077814,0.2663245,0.28299382,0.2839245,0.2818496,0.2884033,0.30517507,0.3236932,0.33255854,0.32486346,0.30117825,0.26646146,0.22744097,0.19120222,0.16585188,0.15739185,0.16508299,0.1789019,0.18468626,0.17372246,0.14844896,0.119227685,0.09560194,0.080949016,0.07327271,0.069393046,0.06729495,0.06619377,0.06572074,0.06581426,0.06772833,0.074778326,0.09217801,0.1231665,0.16586882,0.21175452,0.2511691,0.2774013,0.28965977,0.28959998,0.27999023,0.2634435,0.24392498,0.22612621,0.21363997,0.20586623,0.1973728,0.18176365,0.15855421,0.1359966,0.1273274,0.14047962,0.17269371,0.21065664,0.24093123,0.25642034,0.25956258,0.25552544,0.24918617,0.24316001,0.24026738,0.24138552,0.24463399,0.2452447,0.23946434,0.22634631,0.20817564,0.18847476,0.17064412,0.15644346,0.14584237,0.1375258,0.1302434,0.12340128,0.117000304,0.11106837,0.105511665,0.10043103,0.09662476,0.09547288,0.09787738,0.103118874,0.10868203,0.11186379,0.11134546,0.107897304,0.103156865,0.09851441,0.09437863,0.0905841,0.08676297,0.082730375,0.078532994,0.074367054,0.07040679,0.066654526,0.06311626,0.059909787,0.05738497,0.05579712,0.05532935,0.056151614,0.058800507,0.0637123,0.07054674,0.077530675,0.08225438,0.0829894,0.07980117,0.07416282,0.06793309,0.06242429,0.058269147,0.055610504,0.054299206,0.053927798,0.053918447,0.054287653,0.057583373,0.070525676,0.102423884,0.1577105,0.22911136,0.29752657,0.34406647,0.3615029,0.3577397,0.3468378,0.33991206,0.342093,0.35439107,0.37482965,0.3966187,0.40865707,0.40120086,0.3728675,0.33453295,0.30263016,0.28851548,0.28842548,0.2865039,0.26905993,0.23858385,0.21491893,0.21704072,0.24761517,0.29099098,0.33274433,0.37331453,0.42353225,0.48606387,0.54406816,0.5747812,0.56640816,0.5297701,0.48459327,0.44750953,0.42177734,0.40351152,0.38683638,0.36913526,0.34993458,0.32991576,0.31024143,0.29265252,0.2793337,0.27144456,0.2689496,0.27011073,0.27346858,0.27737525,0.2810566,0.28134298,0.27465454,0.25744328,0.23236479,0.20574857,0.1852744,0.17303737,0.16669549,0.16235644,0.1616164,0.17443736,0.21646059,0.29367232,0.39023685,0.46740118,0.49099973,0.45338765,0.3821001,0.31294414,0.26916152,0.25008863,0.24510282,0.24404337,0.24351193,0.24318777,0.24335931,0.24367444,0.24369358,0.24302286,0.2414338,0.23885256,0.2357734,0.23268318,0.23012556,0.22793907,0.22607732,0.22431844,0.22301106,0.22318435,0.22741358,0.23992485,0.26376683,0.2977862,0.3342183,0.36339638,0.3788673,0.38150194,0.37647533,0.36951748,0.36415115,0.36124757,0.35859588,0.35100794,0.33318964,0.3049936,0.2746972,0.25739685,0.26526213,0.29906654,0.34451595,0.3831781,0.40233603,0.4006655,0.38072845,0.34682587,0.3049988,0.2674077,0.24711584,0.2538621,0.29046735,0.3520976,0.42466947,0.48486862,0.5132043,0.5043315,0.47289172,0.43824288,0.4133215,0.397308,0.3834162,0.36486194,0.34009877,0.31176245,0.28505495,0.26401183,0.2500144,0.24123275,0.23508053,0.22955261,0.22453207,0.22119327,0.22135045,0.22599746,0.23244496,0.23495825,0.22657911,0.20661707,0.18038297,0.15731907,0.1426952,0.136773,0.13674738,0.14368016,0.16624574,0.21821405,0.304635,0.40921298,0.4933695,0.52141756,0.48366645,0.40588692,0.32554433,0.26972523,0.24228203,0.23453178,0.23573525,0.24003965,0.24450447,0.24726714,0.24708879,0.2441004,0.23989378,0.2360626,0.23339795,0.23138572,0.22946723,0.22731833,0.22545902,0.2240081,0.22267914,0.22036654,0.21643399,0.2108819,0.20465927,0.1989205,0.19470127,0.19309463,0.19542803,0.20326728,0.21543346,0.2271803,0.23074631,0.22224514,0.20382345,0.1827567,0.16434857,0.14979373,0.13734145,0.12600483,0.11665092,0.11071318,0.10884455,0.109800614,0.11127762,0.1108461,0.10777793,0.103212364,0.1000843,0.102128126,0.11388016,0.14079536,0.18905795,0.26300788,0.35814703,0.45701265,0.5314074,0.5597656,0.5391441,0.48927292,0.4346782,0.3931993,0.36913022,0.36173987,0.36722934,0.37985787,0.39005724,0.38916764,0.37472045,0.35230067,0.33199713,0.32227743,0.32623366,0.34073162,0.35908142,0.3746222,0.3826197,0.37978753,0.36330065,0.33279493,0.29417154,0.25974232,0.24392022,0.25383988,0.285529,0.32484472,0.35976687,0.38928413,0.42478964,0.47417966,0.5278719,0.5591199,0.54653555,0.493343,0.42788172,0.3798852,0.36135826,0.36305055,0.37040448,0.37507927,0.37762785,0.3796295,0.38022268,0.37686428,0.36976635,0.36161134,0.35488808,0.34878656,0.3403536,0.32739374,0.31090176,0.29422688,0.28083715,0.27213272,0.26753128,0.2654271,0.26468796,0.26471508,0.265296,0.26603746,0.26754484,0.2719905,0.2831016,0.3015797,0.32319197,0.33865824,0.342047,0.33373198,0.3208898,0.30882546,0.29797113,0.2846917,0.26810154,0.25330082,0.24838395,0.256623,0.27192557,0.28160536,0.2778567,0.26438674,0.25597444,0.26527998,0.29406908,0.3316943,0.3666104,0.3965465,0.43055093,0.4774579,0.5328502,0.57633734,0.5864714,0.55832905,0.50920486,0.46411416,0.43872622,0.43134257,0.43110654,0.42744955,0.41612744,0.39693534,0.3724663,0.34638345,0.3234705,0.30702457,0.29783323,0.29404044,0.29371652,0.29561555,0.29898727,0.30111155,0.29769635,0.2848606,0.26319748,0.23798074,0.21613544,0.20202105,0.19638316,0.19850767,0.20849337,0.22918117,0.26621708,0.32537404,0.4030732,0.480124,0.52582717,0.5200101,0.4681821,0.40076765,0.34826806,0.32433283,0.32178476,0.3279803,0.3345227,0.34099343,0.3487556,0.35788754,0.36641994,0.37247682,0.3756673,0.3763394,0.3758365,0.3747929,0.3740498,0.37282053,0.37054327,0.36609128,0.36012527,0.35371265,0.3490368,0.34673214,0.34600842,0.34409726,0.3386146,0.32912704,0.31775296,0.30937383,0.30849645,0.3171731,0.33070886,0.34182394,0.34537086,0.34436238,0.3457128,0.3538752,0.36651418,0.37737146,0.38161758,0.37776724,0.36756933,0.3541833,0.34244084,0.3363981,0.3370627,0.34010196,0.33901337,0.32926384,0.31140324,0.29143488,0.28081968,0.29400468,0.3381829,0.40283862,0.4597076,0.48248395,0.4646735,0.4228036,0.3780671,0.34195188,0.31423712,0.29314044,0.28192618,0.28473154,0.30034342,0.31869006,0.32880545,0.32462958,0.30855104,0.28628552,0.26374698,0.24512936,0.2337621,0.23175664,0.23816492,0.24755818,0.25138476,0.24306406,0.22305669,0.19844697,0.17783463,0.16551717,0.1608506,0.1620501,0.17152391,0.1989932,0.25576088,0.3426793,0.43901873,0.50944185,0.52626556,0.49004304,0.42800966,0.3720882,0.33856633,0.32443908,0.31957614,0.318596,0.32210222,0.3317324,0.34416863,0.3546567,0.35946092,0.35978362,0.3575584,0.35471138,0.35141358,0.34830716,0.34638724,0.34698018,0.35081708,0.357518,0.3656812,0.3735585,0.37962294,0.38285613,0.38224936,0.37793812,0.37177956,0.36733067,0.367334,0.37100008,0.37391743,0.36912033,0.35193953,0.32307443,0.29213205,0.2720438,0.27148688,0.28731096,0.30936363,0.32902583,0.34538808,0.36146474,0.37782934,0.39044067,0.39313337,0.38367537,0.36582866,0.34874418,0.33995315,0.34194258,0.3535571,0.3768723,0.4175447,0.47541937,0.5347026,0.5670846,0.5513334,0.4896015,0.40694496,0.33207798,0.28064278,0.25171152,0.23647507,0.22739322,0.22107567,0.21743675,0.21687664,0.21919686,0.22314225,0.22723778,0.2307142,0.23349595,0.23642258,0.24049044,0.24641396,0.25237566,0.25388482,0.24560334,0.22625576,0.2000824,0.17461963,0.15539746,0.14383541,0.13828063,0.13808013,0.14783482,0.17844844,0.24049093,0.3294368,0.41937074,0.47274888,0.4689492,0.4170603,0.35019982,0.29703465,0.26912686,0.2600938,0.26020378,0.26248476,0.26456514,0.26534685,0.26400706,0.2602413,0.2545794,0.24814193,0.24175662,0.23599975,0.23238628,0.2342905,0.24638641,0.27020133,0.3015904,0.33033943,0.34718516,0.34738982,0.3328719,0.30756107,0.27664542,0.24578367,0.22237076,0.21338,0.22334285,0.25103524,0.28929707,0.32582137,0.35034347,0.3585167,0.3547971,0.3460153,0.33787945,0.3309157,0.32403457,0.31651878,0.31138387,0.31184983,0.3185188,0.32673183,0.33150744,0.33153343,0.33045533,0.33237994,0.3376298,0.34356448,0.34901342,0.35976776,0.3852531,0.42877293,0.47931576,0.5166277,0.52751666,0.51470065,0.49209818,0.4703571,0.45175585,0.43376753,0.41575953,0.3998166,0.38805023,0.38071445,0.3768771,0.37594023,0.37784782,0.38102463,0.3813943,0.37394258,0.35797933,0.33932182,0.3276708,0.32856122,0.3390005,0.34942785,0.3520374,0.3463035,0.33754167,0.33061507,0.32517895,0.3173198,0.30421627,0.29016194,0.28795016,0.3117437,0.36258706,0.41931868,0.45034838,0.4377294,0.3918945,0.34021857,0.3046954,0.28940484,0.28629187,0.28648713,0.28626236,0.28553686,0.2845001,0.28265688,0.27968583,0.27698505,0.27639914,0.27874064,0.28195652,0.28377017,0.28415048,0.288473,0.30305302,0.33107617,0.36710596,0.40246856,0.42975733,0.44843653,0.46059564,0.46834293,0.47107342,0.46791223,0.45801637,0.44217244,0.42158246,0.3993483,0.3782439,0.3621564,0.35333064,0.3530453,0.3586518,0.36539397,0.36720374,0.36048743,0.34579012,0.32922053,0.31849542,0.31760964,0.32159337,0.32155505,0.31185648,0.2972256,0.2865491,0.28579333,0.29290053,0.3054615,0.32788292,0.3691628,0.4294283,0.4885707,0.5172147,0.49752316,0.4406325,0.37445095,0.3243567,0.2971752,0.28694823,0.28473687,0.2856156,0.2881997,0.29145777,0.29432485,0.29525006,0.2938174,0.29036972,0.28602746,0.28223523,0.2803642,0.28163734,0.28549126,0.28855023,0.28518602,0.27071512,0.24590336,0.21632762,0.18965374,0.16987728,0.15767737,0.15142292,0.15253158,0.16695417,0.20602442,0.27578005,0.3675517,0.4528792,0.5015099,0.50061905,0.46457395,0.41938463,0.38399398,0.36198333,0.34863368,0.34096023,0.34034768,0.34854817,0.36227825,0.37285092,0.37149742,0.35517064,0.32867962,0.30017164,0.27576783,0.25695753,0.24335955,0.23706363,0.242032,0.26079413,0.28918126,0.32007948,0.34679165,0.3685055,0.3855474,0.39790356,0.40204787,0.3972982,0.3871126,0.38102803,0.38499895,0.39783671,0.40819564,0.407421,0.3954004,0.3844222,0.38496444,0.39859712,0.4144485,0.42173743,0.41656527,0.40427503,0.3916293,0.3823757,0.37676772,0.37405238,0.37362877,0.37388733,0.37268624,0.36803403,0.3609781,0.3571304,0.3675517,0.40207303,0.4585561,0.51595235,0.54456896,0.5272314,0.47333428,0.41026774,0.36312243,0.34016636,0.33623454,0.34202775,0.35186127,0.36298475,0.37389898,0.3826979,0.38764763,0.38860145,0.38673076,0.38453737,0.38314307,0.38354388,0.38574234,0.39122403,0.39948496,0.40833083,0.41245687,0.40904883,0.39902964,0.3878139,0.38002715,0.3776181,0.37893847,0.3827909,0.39075422,0.40922287,0.44220975,0.48503578,0.5195462,0.52762866,0.5035946,0.46172258,0.42196468,0.39731133,0.38754234,0.38721827,0.39175522,0.3987639,0.40600124,0.41088763,0.41260806,0.41192126,0.41062722,0.4093791,0.40855137,0.40816483,0.40899003,0.41146588,0.4154764,0.41993093,0.42358193,0.4260995,0.42808723,0.4305421,0.43342713,0.43587527,0.43651474,0.4345281,0.42990884,0.42322567,0.41522148,0.40482655,0.39015022,0.3692578,0.3446835,0.3218471,0.3068876,0.30164015,0.30429146,0.31202486,0.32365823,0.33952913,0.3589643,0.37873748,0.39398375,0.40073624,0.39876798,0.39029673,0.37847468,0.3648477,0.3505173,0.33803102,0.3342261,0.35020843,0.3936932,0.45809507,0.5180033,0.54270726,0.51830965,0.45783082,0.39085987,0.34122074,0.31694812,0.31269786,0.32121506,0.33729944,0.35750195,0.37706995,0.3913722,0.39873305,0.40198866,0.4056472,0.412128,0.41994944,0.42617846,0.42921957,0.4301025,0.4294769,0.42611095,0.41694686,0.40170693,0.38248003,0.36168393,0.33742926,0.30701798,0.27142078,0.24025019,0.22810026,0.24961007,0.30793545,0.39005837,0.46582007,0.50766885,0.50558335,0.47608507,0.4432428,0.42350698,0.41602966,0.4134703,0.40981647,0.40451196,0.3985819,0.3918438,0.38258967,0.3682758,0.348035,0.32355177,0.2998079,0.2820182,0.274622,0.2824329,0.3134965,0.3737181,0.45523813,0.5300622,0.56295854,0.5366902,0.4651252,0.3828803,0.31947705,0.28568712,0.27604887,0.28150734,0.295086,0.30955425,0.31627658,0.3084114,0.28953782,0.27203307,0.2694808,0.28450355,0.3087562,0.33005342,0.34328702,0.35183325,0.36324272,0.3801014,0.398569,0.41051888,0.4119452,0.4044598,0.39434835,0.38660026,0.3837851,0.38725114,0.40012228,0.42706117,0.4686664,0.5160044,0.55008346,0.55384654,0.5244253,0.47716483,0.432747,0.4026774,0.38378692,0.36620197,0.34410152,0.3196304,0.29919568,0.28695264,0.2826947,0.28385046,0.28875127,0.29667807,0.30637494,0.3150804,0.3211358,0.32527378,0.3305386,0.33634865,0.3375593,0.3257705,0.2991922,0.26370558,0.230434,0.20553444,0.18905842,0.17795013,0.17376173,0.18496479,0.22344302,0.29300514,0.3800112,0.45462522,0.49028322,0.4819653,0.44978276,0.4200478,0.40706813,0.40757692,0.4104664,0.40765738,0.39856008,0.38792428,0.38078892,0.3787744,0.38000917,0.3813095,0.38119915,0.37938714,0.37569714,0.36856318,0.35686597,0.34182093,0.32716823,0.31663868,0.31118104,0.30931,0.3091028,0.31008205,0.31263426,0.31686702,0.32208073,0.32802632,0.33532763,0.34554186,0.3575001,0.36730313,0.36842802,0.35869697,0.34110418,0.32375085,0.31266358,0.30951312,0.3110739,0.31364572,0.31617093,0.32182577,0.33397242,0.3526293,0.37156257,0.38487872,0.39007732,0.3909135,0.3902296,0.38863814,0.38566676,0.38612875,0.4013814,0.4396491,0.49501827,0.54125184,0.5493273,0.5069492,0.43157706,0.35412833,0.29908875,0.27069065,0.2604208,0.25767338,0.25744948,0.25944516,0.26467586,0.27339733,0.2836701,0.29321697,0.29937816,0.30152953,0.2997162,0.29653406,0.29512045,0.2991421,0.30666116,0.3105477,0.30036828,0.27473596,0.24369955,0.22650744,0.23562777,0.26965094,0.31217894,0.34622154,0.36613253,0.38291195,0.41125622,0.45342824,0.49191585,0.50369817,0.4796673,0.43278965,0.38652268,0.35730553,0.34718692,0.34762216,0.3499178,0.35022625,0.35052896,0.35367024,0.36003938,0.36710474,0.3723646,0.37546372,0.3773884,0.37875342,0.38072386,0.3875614,0.4081305,0.44817504,0.5005036,0.5404198,0.54178065,0.49778256,0.43091977,0.37489557,0.350827,0.35530868,0.3722193,0.38795182,0.3983887,0.40345895,0.4017787,0.39079663,0.3709625,0.34816518,0.33083627,0.32509446,0.33000252,0.33883604,0.34384778,0.34263477,0.33889624,0.33727095,0.3384775,0.33886698,0.33712184,0.33717123,0.3456243,0.3641541,0.3866053,0.4054837,0.41935948,0.4368037,0.46571723,0.50418997,0.53380847,0.5336357,0.49352622,0.42604458,0.35521248,0.3030701,0.2759119,0.2680489,0.26927897,0.27329254,0.277769,0.28238556,0.2869126,0.2916884,0.29761383,0.30560085,0.3153813,0.3260317,0.33670807,0.3481423,0.36206162,0.37886587,0.3953518,0.4040179,0.39747766,0.37128556,0.3284398,0.27751422,0.23188452,0.202778,0.19875638,0.22393678,0.28188065,0.36631438,0.45849332,0.52533776,0.5434513,0.5109361,0.45346186,0.3998665,0.3680974,0.35586965,0.352568,0.347353,0.33654717,0.32177353,0.30754647,0.29712546,0.29140577,0.28923085,0.28926593,0.29068127,0.29330233,0.29746628,0.30471268,0.31758094,0.33755565,0.36261216,0.3866776,0.40387765,0.41217598,0.41476366,0.41570595,0.41662607,0.41574696,0.4111756,0.40337834,0.3946451,0.38517317,0.3719794,0.35113958,0.32371244,0.29483536,0.2709961,0.2540473,0.24201185,0.2320605,0.22534563,0.22924344,0.2504941,0.28798696,0.32747385,0.3531729,0.35883334,0.35308945,0.34910664,0.35430482,0.36692142,0.38218692,0.39982244,0.42682496,0.46870843,0.5184402,0.5524066,0.54672915,0.49665344,0.42228827,0.35265926,0.3057966,0.2831957,0.27664742,0.27846044,0.284142,0.2914836,0.29871154,0.30433097,0.30818668,0.31127182,0.31496572,0.31908312,0.32172132,0.32189062,0.32120955,0.3240101,0.32962188,0.33156502,0.31862447,0.28861076,0.24866448,0.21312432,0.18945478,0.1775019,0.17160088,0.17130125,0.18476975,0.22687852,0.30298007,0.39728233,0.47198054,0.49464777,0.45895314,0.39148042,0.32586238,0.28358507,0.26515508,0.26206997,0.26547372,0.27094236,0.2764471,0.28132498,0.28514114,0.28799847,0.29010513,0.29202715,0.29390076,0.29533198,0.2959534,0.29617524,0.2975875,0.30097356,0.30550587,0.30828246,0.3070334,0.3017005,0.29500115,0.29044327,0.28983912,0.29297352,0.2983046,0.30498135,0.31107488,0.31250206,0.30304483,0.27969098,0.24617194,0.21162479,0.18446887,0.16768813,0.15933476,0.1564096,0.15842311,0.1688265,0.19063951,0.22270346,0.25586337,0.27989128,0.28856426,0.28491554,0.2757889,0.2679333,0.2645516,0.26843762,0.28525567,0.3240449,0.38887456,0.4688734,0.53670734,0.56495184,0.5457032,0.49616387,0.44357792,0.40541628,0.38308823,0.36840233,0.3545513,0.3392338,0.32395563,0.31043097,0.30022588,0.29418215,0.29328692,0.2973294,0.3048811,0.31264615,0.31870946,0.32305643,0.32830504,0.3326454,0.3301617,0.311775,0.277343,0.23504548,0.19873649,0.17580783,0.16723306,0.1707393,0.18915148,0.22981568,0.29876223,0.38830552,0.47574034,0.5316153,0.5415403,0.512983,0.4703174,0.43400893,0.41213274,0.4005079,0.39288065,0.3859068,0.3799396,0.37627566,0.37492526,0.37438318,0.3724972,0.36780086,0.3601155,0.35035935,0.34005642,0.33051956,0.3226619,0.31678775,0.31271994,0.31000254,0.30836287,0.30831346,0.31034526,0.3146977,0.3206263,0.32756838,0.3350424,0.34328762,0.35300028,0.36386192,0.37341845,0.37656927,0.37079588,0.35828617,0.346181,0.339085,0.33615544,0.33060288,0.3166181,0.29427144,0.27284122,0.26487902,0.2772542,0.3037552,0.329612,0.3423388,0.33989766,0.3288735,0.31708702,0.30873498,0.30406868,0.3013083,0.29803643,0.29177642,0.28156164,0.26815656,0.2543461,0.24247147,0.2340825,0.22882628,0.22616637,0.22481318,0.22398801,0.22288877,0.22200602,0.22206627,0.22364812,0.22621922,0.22899927,0.2318201,0.2351469,0.23945844,0.24439247,0.2493428,0.25357482,0.2563864,0.25625417,0.2514917,0.24139684,0.22754359,0.21284884,0.20002146,0.19014896,0.18322717,0.17870726,0.17685537,0.17875814,0.18657766,0.20083378,0.21944106,0.23695679,0.24894498,0.25386158,0.2544123,0.25369892,0.25347707,0.25315967,0.2519664,0.2502882,0.24960355,0.25149468,0.2559955,0.26204714,0.26770222,0.27197495,0.27473792,0.2768271,0.2787376,0.28036746,0.28158975,0.28258923,0.28427613,0.2865781,0.2891363,0.2912749,0.29439664,0.30038944,0.31033614,0.32231724,0.3332049,0.34094992,0.3450116,0.34465733,0.33775473,0.3231959,0.30370653,0.2852515,0.27386698,0.27150106,0.27615714,0.2820945,0.28309703,0.27535856,0.26153114,0.25023317,0.25033402,0.26391494,0.28303176,0.2941591,0.28549728,0.25532654,0.21402954,0.1811431,0.17600147,0.21122618,0.2876373,0.3913056,0.4927396,0.55619663,0.5602349,0.51181257,0.44107363,0.3781166,0.33663246,0.3138487,0.30221102,0.29670417,0.29539886,0.29668257,0.2987311,0.30000013,0.30013835,0.29969484,0.29965386,0.3007042,0.30334964,0.30825964,0.31617615,0.32576802,0.33187687,0.3266543,0.30531713,0.2721295,0.23931514,0.22034329,0.22021663,0.23520781,0.25725767,0.28384605,0.3201343,0.37437913,0.44493055,0.5135072,0.55256146,0.5460195,0.5024325,0.44845995,0.40769878,0.3868256,0.37857077,0.3737464,0.36922276,0.36602017,0.3649583,0.363801,0.3598973,0.35244834,0.34370542,0.33664468,0.33275506,0.33111557,0.32975602,0.3273882,0.32430685,0.32149628,0.3200768,0.32046023,0.3231612,0.32874823,0.33850273,0.35315195,0.3718739,0.39152384,0.40782073,0.41704974,0.41651583,0.40546462,0.38490558,0.35879937,0.33140767,0.30639032,0.28465113,0.26564112,0.24717619,0.22778411,0.20937629,0.1984957,0.20180689,0.21905507,0.24162006,0.25923368,0.26804313,0.2710508,0.2716025,0.26740003,0.2537658,0.23303707,0.22262402,0.24732025,0.319299,0.42038164,0.5086728,0.54727024,0.5295665,0.4796239,0.42856362,0.3937241,0.37418512,0.3616648,0.35122073,0.34325767,0.34000382,0.34037313,0.341024,0.33899295,0.33511934,0.33240852,0.3327843,0.33530143,0.33777285,0.33956134,0.34052828,0.3388153,0.3300381,0.31223056,0.28909004,0.26872098,0.25740623,0.2563077,0.26292956,0.2746633,0.2926035,0.32229304,0.37129557,0.4371678,0.5012252,0.53264415,0.5142177,0.455469,0.3897052,0.34514487,0.33019456,0.33288208,0.33865035,0.3399991,0.33774945,0.33461758,0.33115113,0.32613984,0.31854343,0.30923164,0.3001823,0.29350805,0.2902247,0.28985244,0.2909917,0.2919964,0.29191142,0.2906977,0.28922275,0.28917873,0.29213727,0.29925323,0.30970386,0.3214626,0.3316482,0.3390653,0.34314153,0.34219742,0.3323094,0.31004345,0.27748278,0.24262297,0.21675491,0.20860577,0.22082938,0.2484651,0.2805498,0.30535677,0.31564668,0.31142697,0.29813683,0.28243402,0.26903996,0.2596408,0.25433815,0.2528888,0.25434077,0.25762692,0.26459345,0.28438258,0.3284603,0.39694178,0.46798792,0.50809044,0.4977522,0.44793573,0.38974538,0.3490697,0.3308914,0.3252662,0.32087252,0.31436595,0.30770972,0.30400702,0.3034173,0.30445966,0.30548266,0.30633888,0.30785418,0.31069314,0.31516293,0.32111207,0.3287027,0.33659565,0.34168637,0.3386184,0.32358047,0.2971929,0.26643023,0.2414946,0.23025785,0.23385175,0.24820046,0.27127108,0.30856705,0.3679459,0.44515,0.5164965,0.54996586,0.53143305,0.47555533,0.41628435,0.3787677,0.3680371,0.3710933,0.37399283,0.36930752,0.35856977,0.3466971,0.33842567,0.33537397,0.335984,0.33722293,0.33707237,0.3362778,0.33696702,0.34023377,0.3444973,0.3470757,0.34677342,0.34469232,0.34327698,0.34386662,0.34733638,0.35348022,0.36287403,0.3740865,0.38507202,0.39183035,0.39285025,0.3878913,0.37934557,0.36812356,0.3556347,0.34205902,0.3286465,0.31524214,0.30226266,0.29011902,0.28030562,0.27382186,0.27043876,0.26806846,0.26295242,0.25209716,0.23673926,0.22439621,0.22435345,0.24010266,0.26476413,0.28723773,0.30346203,0.32319692,0.36182654,0.42243826,0.48576656,0.51958793,0.5046421,0.44860592,0.38011268,0.32456827,0.29148778,0.2760005,0.27184352,0.27656892,0.28935778,0.30502388,0.31525823,0.31437793,0.30569196,0.2979257,0.29749122,0.30190822,0.30455434,0.30261973,0.30114973,0.30605784,0.31613383,0.3207959,0.30880746,0.27694342,0.2339858,0.19532883,0.17528553,0.17961054,0.20435245,0.24161565,0.28963602,0.3531779,0.43180624,0.50605696,0.54512376,0.5308964,0.4761288,0.41368532,0.37076512,0.35227558,0.34754732,0.3443267,0.33822727,0.3295382,0.3203807,0.31122422,0.30309233,0.29657045,0.29266432,0.2913654,0.29232064,0.2949171,0.29834786,0.30196166,0.30491015,0.3070563,0.3084599,0.3095555,0.31038842,0.31077242,0.31074974,0.31073737,0.31190586,0.31540143,0.3226671,0.33326778,0.34419164,0.34869847,0.34045997,0.31731984,0.28498703,0.2552015,0.2399727,0.2444522,0.26279056,0.28338966,0.29653665,0.30118668,0.30085614,0.2982894,0.2903788,0.27272916,0.24561471,0.21958655,0.20933986,0.22352445,0.25691628,0.2992777,0.34781298,0.4098675,0.48547617,0.55379343,0.58054733,0.5471175,0.4670252,0.37678322,0.30727872,0.26871654,0.25321102,0.24951643,0.25020668,0.2529118,0.25672522,0.2611356,0.26530096,0.26903364,0.272527,0.2763827,0.28068787,0.2856761,0.29187736,0.3008164,0.31238553,0.32384124,0.32837403,0.32024208,0.2971492,0.26451832,0.23164375,0.20965974,0.20429355,0.21659432,0.2450258,0.29378998,0.36725596,0.45918718,0.5412461,0.5790925,0.55703574,0.4949381,0.43017158,0.39053488,0.37797034,0.37824747,0.37689814,0.36840224,0.35475847,0.34040666,0.3288982,0.32094064,0.31538463,0.31021604,0.30482492,0.29963115,0.2957637,0.29371852,0.29335806,0.29405954,0.2948728,0.29547504,0.29681814,0.30222294,0.31506714,0.33579895,0.35892245,0.37573853,0.38045707,0.37462416,0.36522022,0.3563532,0.3449973,0.32333937,0.2890797,0.2511885,0.22641341,0.22616124,0.24644949,0.27007738,0.28155005,0.27832055,0.2694801,0.2609036,0.24937366,0.22796889,0.20056444,0.18160439,0.18593252,0.21453357,0.25487992,0.29150724,0.32058313,0.35442376,0.40913287,0.48469377,0.55420285,0.58190006,0.5516557,0.48271036,0.41249582,0.36934462,0.357321,0.36409852,0.37545657,0.38456723,0.39112958,0.39767727,0.40525258,0.4125618,0.41641608,0.4146147,0.40759864,0.39852262,0.39107016,0.38700566,0.38561502,0.3835831,0.37758872,0.36481562,0.3458706,0.32249424,0.2992574,0.2808117,0.2732229,0.2783767,0.2953467,0.32158068,0.36041605,0.41424307,0.4772021,0.5266681,0.540014,0.50871235,0.44971082,0.3879584,0.34299943,0.31762215,0.3063629,0.30167425,0.30007398,0.30031523,0.30211428,0.30456915,0.3066709,0.30775067,0.30788806,0.30759466,0.30767438,0.30888972,0.3119311,0.3169578,0.32347548,0.3303134,0.33597174,0.33937964,0.34042093,0.34066463,0.34196743,0.34514448,0.34860742,0.3505806,0.3508879,0.35035408,0.3478022,0.33896863,0.32066098,0.29443303,0.26686183,0.24469756,0.23056488,0.22180994,0.21333317,0.20320024,0.19638282,0.2017381,0.2232023,0.25238422,0.272796,0.27185777,0.2516574,0.22675581,0.21208508,0.21168892,0.2205102,0.23636912,0.2693478,0.3304136,0.41352317,0.4863739,0.51482606,0.48815563,0.42940485,0.37097552,0.33313802,0.31645665,0.31331882,0.31647006,0.3209819,0.32348052,0.3226676,0.32039303,0.31954643,0.321485,0.32507968,0.3278849,0.32860646,0.32800686,0.32884324,0.33298293,0.33805075,0.33775994,0.3258793,0.30279645,0.27523485,0.25230515,0.23943938,0.2362243,0.23839115,0.24251081,0.25357664,0.2852858,0.34817776,0.43245116,0.5047192,0.531806,0.5057365,0.45033118,0.3965391,0.36186898,0.3443769,0.33627176,0.33216712,0.3305756,0.33016273,0.3291168,0.32710493,0.32517383,0.3250309,0.32602212,0.32632604,0.3235898,0.3184961,0.31343472,0.31176567,0.31377542,0.31773898,0.32060158,0.32183388,0.322361,0.3239676,0.32607767,0.3269541,0.32474717,0.3201381,0.31471244,0.30765846,0.2935464,0.26571444,0.22457772,0.18126352,0.15376186,0.15429407,0.18201344,0.22281142,0.26025257,0.28382793,0.2921522,0.28761807,0.27167535,0.24572621,0.21382444,0.18565805,0.17013912,0.17141645,0.18322687,0.19465248,0.19684665,0.19158892,0.19040422,0.20449711,0.23492078,0.2693579,0.29330972,0.299787,0.29470035,0.28901777,0.29056048,0.29811633,0.30495968,0.3062005,0.30344775,0.3026481,0.3063207,0.31086028,0.30946088,0.29948953,0.28360593,0.26624244,0.24811722,0.22737469,0.2049241,0.18869351,0.18924339,0.2105193,0.24474072,0.2777938,0.2991855,0.30678824,0.3025445,0.28674433,0.25780633,0.2181079,0.17690979,0.14602935,0.13089556,0.12792313,0.12951942,0.13264823,0.13990714,0.15549253,0.17904748,0.20495939,0.22502802,0.23336567,0.22928555,0.21695805,0.20204817,0.1882327,0.17602383,0.16405506,0.15120697,0.13785154,0.12553716,0.11577668,0.10896024,0.104440875,0.10108394,0.098064,0.09501365,0.09219856,0.09018428,0.089403786,0.08952957,0.089466274,0.08801725,0.084789656,0.08045595,0.07621937,0.07299606,0.071225256,0.071054034,0.072653204,0.075993635,0.080723815,0.08618363,0.09170874,0.09709852,0.103661604,0.11536024,0.13828138,0.17601256,0.22471942,0.27227494,0.30621374,0.32146955,0.32282224,0.31770918,0.31021237,0.2998784,0.28731328,0.2780949,0.28035948,0.29727015,0.3216904,0.3409544,0.34616414,0.33824214,0.32393762,0.30883417,0.29381207,0.27724954,0.2595236,0.24507707,0.24046153,0.24975877,0.27105704,0.29880834,0.32735446,0.35466862,0.37940672,0.39955747,0.41081575,0.4112136,0.40307817,0.39382693,0.38946858,0.39029452,0.38955188,0.3810782,0.3653274,0.35065797,0.34587422,0.35311675,0.36663833,0.37874052,0.38659403,0.39292464,0.40086362,0.40919647,0.4133965,0.411154,0.40434358,0.39696005,0.39030668,0.38345852,0.3763791,0.37447834,0.3884863,0.4260312,0.48188314,0.53188986,0.54895455,0.520735,0.46376577,0.4066645,0.37183228,0.36134577,0.36614916,0.37638095,0.38695922,0.3960053,0.40200445,0.40523878,0.40720645,0.41095927,0.4187601,0.43052748,0.443141,0.4515798,0.45380545,0.45262778,0.453667,0.45853233,0.46213165,0.45721364,0.4414836,0.42042032,0.40248433,0.39268002,0.39017773,0.39191565,0.3986949,0.41692433,0.45142594,0.49664792,0.533776,0.5448346,0.5251186,0.4887748,0.4539696,0.43208814,0.4221727,0.41928408,0.4193734,0.42154863,0.42559966,0.4307342,0.43556574,0.4385219,0.43893006,0.43711516,0.43437693,0.43186942,0.4303813,0.43010315,0.43118885,0.4333335,0.43629682,0.43956438,0.4428784,0.44557837,0.44689086,0.44632956,0.44412243,0.44150922,0.43998525,0.44093165,0.44365823,0.44369373,0.43421614,0.41089284,0.37824687,0.3474054,0.3293623,0.3263617,0.33274388,0.3405129,0.34598312,0.35153365,0.36182463,0.3794113,0.40065742,0.41893694,0.42821494,0.42825016,0.4224739,0.41511306,0.40751722,0.40131286,0.40287533,0.42479417,0.47385308,0.53920656,0.5888999,0.59283274,0.54320484,0.46338475,0.38611063,0.33376548,0.3090472,0.30495667,0.31466353,0.33353937,0.3571668,0.3787783,0.39408183,0.402112,0.4067625,0.41122147,0.41719997,0.4233143,0.4288883,0.43417564,0.44043577,0.44574818,0.4451691,0.43327036,0.41028464,0.38137844,0.3526795,0.32566416,0.29914725,0.27352098,0.25573173,0.25868177,0.29640386,0.37111965,0.4646813,0.5404837,0.56808805,0.54246366,0.48902413,0.43948767,0.41250888,0.40603146,0.4091425,0.4125984,0.41218337,0.40681216,0.39575616,0.3798274,0.36109927,0.34304193,0.3287841,0.32031837,0.3181837,0.3235488,0.34168947,0.38296938,0.45315385,0.54085165,0.6124093,0.63243735,0.5884974,0.5038361,0.4173663,0.3584156,0.33281088,0.33213487,0.3458866,0.36557862,0.38115644,0.38190147,0.36445585,0.33825088,0.31963527,0.31830344,0.33105847,0.34634933,0.35619745,0.35980996,0.36183503,0.36461273,0.36721873,0.3661677,0.3601215,0.3507732,0.34284863,0.34088984,0.346521,0.35740998,0.37115255,0.38959476,0.4192257,0.4624606,0.5111819,0.5462692,0.55236083,0.5271332,0.48535183,0.44446173,0.41594204,0.39893568,0.38829184,0.3792548,0.3716438,0.3669522,0.36605978,0.36797228,0.3706343,0.37280378,0.37412444,0.3751525,0.37634107,0.37868586,0.38322163,0.38971004,0.39284697,0.3835769,0.3539261,0.30673698,0.2543287,0.21193989,0.18587367,0.17398721,0.1718855,0.182023,0.2146651,0.278795,0.3703932,0.46498802,0.53094214,0.5479818,0.5234711,0.48151016,0.44653574,0.4272515,0.4208736,0.41948465,0.4183431,0.41546845,0.4121822,0.4098556,0.41001812,0.4125594,0.41726235,0.42240894,0.42531964,0.42247906,0.41257417,0.39789894,0.38353693,0.3739232,0.37051556,0.3717691,0.37537575,0.37966475,0.3844489,0.38988265,0.39592552,0.4018246,0.4074172,0.41420245,0.42358425,0.4341917,0.43985128,0.43435562,0.41581002,0.38965046,0.36409378,0.34573832,0.33563188,0.33087227,0.32828584,0.32880202,0.33697632,0.35614002,0.38331386,0.40971875,0.4265226,0.4305508,0.42496142,0.41584158,0.4080882,0.40631795,0.41683316,0.44757223,0.49745902,0.54910654,0.5719742,0.54531896,0.4742956,0.38863602,0.31931114,0.2806262,0.26806355,0.2695016,0.27568853,0.28209472,0.28710416,0.2896256,0.28913227,0.28671992,0.28375593,0.28209126,0.28158596,0.28269318,0.28610137,0.29460886,0.30953068,0.32663378,0.3357103,0.3266987,0.30200613,0.27761748,0.27345145,0.2962147,0.33457372,0.36996233,0.39269242,0.41119418,0.44245884,0.49391913,0.5500154,0.5800001,0.56341285,0.50705016,0.44109774,0.39380825,0.37530187,0.37617895,0.38181254,0.38325307,0.38069987,0.378795,0.3809665,0.3871887,0.3955227,0.4041063,0.41137215,0.4155229,0.41578352,0.41545382,0.42332235,0.44954893,0.4948623,0.54310256,0.5660401,0.54493517,0.48654005,0.42134404,0.3779347,0.36529455,0.37131798,0.38164285,0.38966227,0.39593503,0.3984181,0.39120877,0.370903,0.34296754,0.31990966,0.3118428,0.31953296,0.33442882,0.34643987,0.35014972,0.34694996,0.3403125,0.33278242,0.32448944,0.31687316,0.31352928,0.31968912,0.33712375,0.3620416,0.38679227,0.40751335,0.42893,0.46104932,0.5061894,0.5513385,0.57202154,0.55197483,0.49403918,0.42078242,0.35593545,0.31390396,0.2942324,0.29060268,0.29533303,0.30352148,0.31097594,0.3149248,0.3143165,0.31145427,0.31092867,0.317457,0.3323423,0.35295558,0.37421155,0.39328325,0.41026714,0.42598188,0.43729794,0.43707553,0.41919303,0.38387266,0.33950913,0.29768574,0.26720878,0.25152436,0.2529717,0.2780597,0.33305737,0.41232216,0.49034992,0.53442353,0.5268584,0.47917393,0.4215456,0.38024524,0.36235058,0.3582655,0.3555539,0.34870157,0.3401563,0.3343149,0.33310843,0.3353807,0.3387972,0.34161463,0.34303153,0.34324932,0.34363914,0.34659216,0.3550868,0.3701216,0.38972652,0.4080427,0.4196979,0.422006,0.41743132,0.4094664,0.4008217,0.39164224,0.38306952,0.37728453,0.37736502,0.38203633,0.38703772,0.3862629,0.37906566,0.36870265,0.36039445,0.35432458,0.34568462,0.32814932,0.30086446,0.27172795,0.25323448,0.25276518,0.2667972,0.28387913,0.2955923,0.30179805,0.3090831,0.32263327,0.34184584,0.3615528,0.37911177,0.40078554,0.4383345,0.4946724,0.5520809,0.5797445,0.55814856,0.4968765,0.42669368,0.37586543,0.35278556,0.34953213,0.3537716,0.35874596,0.36258838,0.36636338,0.37031946,0.3750235,0.38032153,0.38683915,0.39401314,0.40075266,0.40550384,0.408354,0.41109124,0.41367117,0.41114792,0.39419675,0.3576319,0.30642194,0.2547095,0.21590436,0.1950178,0.18828964,0.19059825,0.20370202,0.23909593,0.30813956,0.4051919,0.49985576,0.55254775,0.5442424,0.48954225,0.42393515,0.37525424,0.35174718,0.34612754,0.34932938,0.35568452,0.36275315,0.36869475,0.37236905,0.37393963,0.37499082,0.3767724,0.37974617,0.3830074,0.38596782,0.38793954,0.38910398,0.3891225,0.38780606,0.3844447,0.37929642,0.37347317,0.36882666,0.3664539,0.3662006,0.36733046,0.37023047,0.37648225,0.38692442,0.39642313,0.39437243,0.36963448,0.32221663,0.26431727,0.21377952,0.18071915,0.1644492,0.1580985,0.15733983,0.16367073,0.18215495,0.21571635,0.26078078,0.30753347,0.34520316,0.36819932,0.37816668,0.38103163,0.3823882,0.38647997,0.39813626,0.42408183,0.46705398,0.51796716,0.5554486,0.5595353,0.52797705,0.47817168,0.43302616,0.40434304,0.39047348,0.38397753,0.3802016,0.3779818,0.3771884,0.3768649,0.3758905,0.374377,0.3736222,0.3754473,0.38017535,0.38645148,0.3919569,0.3959217,0.39915857,0.40040365,0.39364183,0.37035933,0.32907662,0.27893463,0.23512226,0.20705236,0.1953787,0.19698696,0.2142487,0.25416878,0.322643,0.413517,0.5078295,0.5774421,0.601464,0.577333,0.52495474,0.4716563,0.43599236,0.4193779,0.41412282,0.41332433,0.41520357,0.41890034,0.42207274,0.4214246,0.4169649,0.4118445,0.41026267,0.41278145,0.4163934,0.41679636,0.41276422,0.40658927,0.40180996,0.39975485,0.39899135,0.39760232,0.3956716,0.39557502,0.39949074,0.40704212,0.41509438,0.42058536,0.4230275,0.42398477,0.42279688,0.4149699,0.39507565,0.364252,0.3311572,0.307451,0.2986776,0.30203244,0.309252,0.31362653,0.31445968,0.31657913,0.32527688,0.34020105,0.35541534,0.36435616,0.36565197,0.3625464,0.3588109,0.3554101,0.35119942,0.34555086,0.3394812,0.33508077,0.33336583,0.3335136,0.3336916,0.33285066,0.33188224,0.33216962,0.33465686,0.33858112,0.34298456,0.34707198,0.3509536,0.35484877,0.3587711,0.36260113,0.366123,0.3692825,0.37190732,0.37390426,0.3753128,0.375892,0.37472245,0.36903763,0.3549999,0.32915244,0.2920523,0.24922578,0.20936196,0.17944264,0.16166677,0.15354387,0.15070604,0.15038055,0.15394843,0.1674356,0.19705333,0.24339156,0.29743722,0.34610236,0.37931123,0.3960998,0.40085575,0.39960587,0.39569327,0.39116892,0.3867471,0.38285398,0.3792639,0.37559626,0.37217084,0.36953017,0.36876842,0.3697842,0.37232086,0.37516534,0.3778046,0.3793637,0.37944183,0.37764212,0.3746253,0.3719531,0.3710152,0.37212858,0.37370142,0.37424827,0.37281814,0.37013316,0.3662889,0.3597467,0.345651,0.318347,0.27551225,0.22371627,0.17820515,0.15724444,0.17125082,0.21658933,0.27564391,0.3273501,0.35812053,0.3693656,0.37199843,0.376658,0.38457116,0.3905017,0.3880365,0.37557313,0.35282958,0.3208519,0.28126237,0.24394733,0.22675776,0.25140366,0.324308,0.42717323,0.5189424,0.5652819,0.55776376,0.5191902,0.47730348,0.44772303,0.42694578,0.40741408,0.3863449,0.3688172,0.35985163,0.3602028,0.3655912,0.372262,0.37973276,0.39067355,0.40628174,0.42389962,0.43875375,0.44756797,0.45173052,0.452947,0.4517847,0.4444739,0.43070042,0.41319886,0.39910594,0.3915794,0.3905207,0.39347997,0.4012616,0.41841233,0.45093918,0.4984726,0.54841167,0.5771101,0.56683546,0.5200855,0.46210453,0.4199985,0.40557194,0.41104516,0.42277053,0.43301538,0.441514,0.4506056,0.4590721,0.46354318,0.46035826,0.45059547,0.43925297,0.43300855,0.43513843,0.44405267,0.455381,0.46491805,0.4707551,0.47217736,0.4693966,0.4623644,0.45110556,0.43596685,0.41851997,0.40173718,0.38913548,0.38363743,0.38687435,0.39641273,0.4046764,0.40012178,0.37674108,0.34082744,0.3106476,0.30360672,0.3241258,0.35993513,0.39177814,0.40534273,0.40033945,0.38637522,0.37640116,0.37519106,0.38083875,0.386651,0.39107445,0.3956796,0.4040182,0.41532102,0.42847726,0.44487187,0.47126493,0.5102126,0.55343914,0.5801888,0.5743172,0.5357944,0.4836955,0.4391158,0.41327634,0.40385637,0.40363392,0.4065317,0.4088377,0.40730497,0.39935327,0.38549545,0.37089112,0.3634105,0.36923298,0.38857114,0.4145924,0.43754372,0.45049194,0.45456815,0.45428714,0.4534104,0.44891313,0.43891057,0.42417488,0.4114555,0.40441194,0.40263453,0.40178564,0.400671,0.40618166,0.4300816,0.47855797,0.53832453,0.5808475,0.5812594,0.5402558,0.48264572,0.43786657,0.4189516,0.42048618,0.42869234,0.4341562,0.43395445,0.42977262,0.42266536,0.41345572,0.40281966,0.39334762,0.38742545,0.38562003,0.38646325,0.39087585,0.40678573,0.4465941,0.5127638,0.586607,0.63097,0.6185407,0.5510741,0.46206602,0.387724,0.3474095,0.33733073,0.34572676,0.36355212,0.38437214,0.3996607,0.3971748,0.37222525,0.33328342,0.300831,0.29160592,0.3089653,0.34156492,0.37466803,0.3988953,0.41319287,0.4199582,0.4205927,0.4147943,0.40317395,0.38960445,0.38008097,0.37834942,0.38304746,0.38853708,0.39293864,0.4024159,0.42914316,0.47675204,0.5322136,0.5687666,0.56700283,0.5271504,0.4698747,0.41750455,0.38337263,0.3674967,0.36497423,0.37053338,0.3810587,0.39423203,0.4074894,0.41840997,0.42599773,0.43202582,0.43957487,0.45015657,0.46178293,0.47164333,0.47859347,0.48371425,0.48538008,0.4791641,0.460354,0.4310719,0.3984455,0.36994925,0.3465391,0.32452205,0.30242193,0.28849885,0.3006719,0.35286757,0.43811882,0.52320766,0.56895316,0.5585186,0.50938755,0.45611337,0.42421183,0.41775373,0.426924,0.44048026,0.45249006,0.461001,0.46606064,0.46795645,0.4676256,0.46608403,0.46442595,0.46305475,0.46155468,0.45888045,0.4546497,0.4500847,0.44813275,0.45101976,0.4583887,0.46675566,0.47192967,0.4710344,0.46313146,0.44923246,0.43203464,0.4168301,0.40886727,0.4108635,0.4169316,0.4154345,0.39397892,0.35225105,0.3011798,0.25716734,0.22829683,0.21341455,0.20685978,0.20705517,0.21853685,0.24731053,0.29500166,0.35366938,0.41011822,0.45171365,0.47429243,0.48039714,0.4758824,0.46426484,0.44881555,0.43579593,0.43756795,0.46471024,0.51505685,0.56712633,0.59232384,0.5749772,0.52423733,0.4647782,0.41696927,0.3855534,0.3641231,0.34732142,0.33732358,0.3395469,0.3554044,0.37762713,0.39490798,0.39828268,0.3870586,0.3675653,0.34831238,0.33561406,0.33273125,0.34228894,0.36421278,0.393297,0.41781548,0.42734763,0.41960767,0.40159068,0.38345447,0.37127218,0.36673984,0.36868846,0.37977338,0.40735587,0.45766518,0.5233888,0.5775954,0.5906407,0.55213946,0.48402894,0.42065677,0.38534066,0.37587377,0.37661806,0.37340912,0.36330566,0.35074958,0.34108672,0.33561674,0.3322321,0.32836628,0.3238301,0.32013273,0.31869614,0.32045552,0.3296858,0.3569301,0.4121777,0.4909118,0.564267,0.5945086,0.561596,0.48250768,0.3959519,0.33562174,0.31010774,0.31064007,0.32433417,0.34407008,0.36263704,0.3711054,0.36016944,0.33266482,0.30436242,0.29756913,0.32318315,0.3734578,0.42681453,0.46271774,0.47399387,0.46602532,0.44960365,0.4306574,0.41092876,0.39168417,0.3790765,0.37977624,0.39531693,0.41773582,0.43673363,0.4478593,0.46022305,0.4867914,0.5322152,0.57930213,0.60230595,0.5846036,0.5365006,0.48218516,0.4423401,0.41973713,0.40817323,0.40315783,0.4072356,0.42249653,0.44479427,0.46409342,0.47249338,0.4684508,0.45658872,0.44194245,0.42818332,0.41800842,0.41525814,0.42377996,0.44147167,0.45981058,0.46573618,0.4547781,0.4321543,0.41172937,0.40178275,0.40222836,0.40476084,0.4041743,0.40433678,0.4200449,0.46266738,0.5265524,0.5817732,0.5963356,0.5587989,0.49215794,0.43152857,0.40106007,0.39903387,0.41051006,0.42124984,0.42615116,0.42523214,0.41877446,0.4068992,0.39201975,0.38072145,0.3799474,0.39222154,0.41220665,0.43034568,0.43857828,0.43538752,0.4242973,0.4105369,0.3974103,0.3868511,0.3797543,0.37649813,0.37583026,0.37574044,0.3754907,0.3781053,0.38907635,0.41151488,0.44006565,0.46202183,0.4655623,0.44996905,0.4265274,0.40944648,0.40605196,0.41359904,0.42492732,0.4333066,0.43556032,0.43137297,0.42274332,0.41255844,0.4021212,0.391001,0.37811056,0.3652712,0.35647437,0.35569596,0.36486337,0.38586256,0.4228979,0.476553,0.53681463,0.58026844,0.587184,0.55541855,0.50567544,0.46233633,0.43922532,0.43332386,0.43546188,0.43850908,0.44120452,0.44532773,0.45190355,0.46020755,0.46845403,0.47607043,0.483555,0.49127433,0.4983351,0.5035433,0.50676125,0.50921875,0.5091708,0.5015879,0.47949633,0.44440106,0.40640736,0.38008475,0.3700184,0.36778605,0.3588688,0.3396469,0.3266569,0.3472663,0.41428986,0.5079372,0.58306915,0.6039,0.56807977,0.5075287,0.45751497,0.43576285,0.43597615,0.4437764,0.4479389,0.44565597,0.43888327,0.43133816,0.42608187,0.4247221,0.42664376,0.42995095,0.43245256,0.43307412,0.4320899,0.43086985,0.43099487,0.43308842,0.43654957,0.43998218,0.4427751,0.44598714,0.452226,0.4634582,0.47928068,0.49718705,0.5148836,0.53120637,0.5425077,0.54082114,0.51583755,0.46546507,0.40056482,0.34280494,0.31108764,0.31105968,0.3327088,0.35872173,0.37635723,0.38377118,0.38780093,0.39578676,0.40897658,0.4234109,0.4346578,0.44267535,0.44980028,0.45758352,0.46505582,0.47329903,0.48868558,0.51941186,0.56310403,0.60070515,0.60548544,0.5664735,0.4987166,0.4335896,0.39376613,0.38323006,0.3925053,0.41272724,0.4395764,0.47032657,0.49939346,0.51970226,0.527095,0.5228591,0.5115122,0.49693346,0.48087144,0.46527633,0.4540336,0.4520541,0.46047914,0.4731669,0.47833943,0.46606788,0.43642223,0.3985114,0.36325946,0.33389124,0.30695227,0.27937832,0.25883237,0.26409113,0.31248358,0.40054357,0.49646226,0.5590353,0.5672171,0.5348998,0.49348733,0.46637842,0.45629993,0.4555279,0.4571366,0.45996985,0.46390554,0.46801087,0.46989742,0.46842107,0.46383962,0.45857653,0.4547539,0.45364633,0.45359764,0.4532949,0.45202625,0.4518703,0.45338082,0.45588493,0.45658562,0.45465887,0.45063564,0.44626737,0.44222757,0.4388621,0.43736085,0.43990898,0.44800135,0.45614994,0.452304,0.42237046,0.36540923,0.2956182,0.23615839,0.20106214,0.19049537,0.19499874,0.20744936,0.22781952,0.25997576,0.3047129,0.35509503,0.40099785,0.43569085,0.46050218,0.47943413,0.49289885,0.49641955,0.48723444,0.47066855,0.4576091,0.45606554,0.46378782,0.47086713,0.46813476,0.4532251,0.42920128,0.39838448,0.36108348,0.3186759,0.27810484,0.24920863,0.23928775,0.2490269,0.27378964,0.30587265,0.33622324,0.3565414,0.36359844,0.36102,0.35638866,0.35342726,0.3486289,0.33285597,0.299396,0.24907567,0.19245325,0.14504966,0.121748544,0.1300341,0.16732334,0.22094147,0.27371922,0.31095454,0.3259369,0.3194895,0.2961618,0.2611463,0.22000323,0.18004255,0.15004851,0.13838561,0.14807528,0.17384945,0.20282273,0.22241616,0.22706537,0.21978636,0.20628184,0.18981908,0.17039682,0.14737637,0.12153193,0.09490768,0.07006845,0.0492567,0.03387536,0.024046483,0.01881551,0.016871875,0.017208077,0.019195862,0.022171704,0.025143607,0.026984343,0.027030235,0.025424773,0.022946544,0.020390704,0.018178495,0.016312925,0.014672921,0.013182248,0.011865508,0.010748238,0.0098185735,0.00903144,0.008353265,0.007777698,0.007298274,0.006895181,0.006544221,0.0062332177,0.0059645697,0.0057366975,0.0055539296,0.005420173,0.005342458,0.0053052963,0.0052825003,0.0052445303,0.0051845866,0.0051032878,0.005007913,0.004895231,0.0047717486,0.0046433066,0.0045243734,0.004411668,0.0042990563,0.004170196,0.004023071,0.0038589837,0.0036886737,0.0035189483,0.0033552228,0.003197069,0.0030409258,0.0028816618,0.002716151,0.002545117,0.0023754218,0.002218079,0.0020854697,0.0019821057,0.001902875,0.0018349261,0.0017678742,0.0016975788,0.0016245089,0.0015495092,0.0014723632,0.0013941051,0.001315584,0.0012359124,0.0011513343,0.001059428,0.00096207944,0.00086554984,0.00077648787,0.0006998062,0.00063888676,0.00059766223,0.00058022654]