[0.025390584,0.02477512,0.023641318,0.02263608,0.022125179,0.022004128,0.021963539,0.021788223,0.021498604,0.02120567,0.020956589,0.020603715,0.019958427,0.019696357,0.022414396,0.03283153,0.055016216,0.0888443,0.12798136,0.16314848,0.18692534,0.19742197,0.19715787,0.19045918,0.18090141,0.17064251,0.16051109,0.1505661,0.14087468,0.13173977,0.123362385,0.11491078,0.10466278,0.09108261,0.07444257,0.05714776,0.042663414,0.033740945,0.031195194,0.03418507,0.041217517,0.05129816,0.063742645,0.077314705,0.08963331,0.09791881,0.10097036,0.10026872,0.099139,0.099901,0.10192292,0.10264299,0.10035733,0.09620255,0.092957936,0.09299781,0.096678175,0.10278374,0.1094882,0.11545941,0.1201376,0.12339746,0.12491122,0.12398258,0.12004277,0.11427342,0.11037993,0.11450156,0.13108045,0.15986748,0.19364876,0.2225241,0.23762095,0.23544289,0.21732056,0.18860869,0.15574011,0.12408286,0.09623515,0.07252409,0.052623104,0.036696974,0.025077902,0.017551357,0.013221008,0.011629283,0.013252828,0.019799704,0.03262789,0.051334757,0.07182879,0.08734063,0.091470115,0.08242463,0.064147785,0.043716896,0.02702563,0.01631451,0.010631033,0.00791519,0.00660992,0.006126301,0.0064130165,0.007407511,0.008814222,0.010140455,0.01095645,0.010968492,0.010144208,0.009506793,0.012149575,0.02391561,0.049952332,0.0899641,0.13397458,0.16702516,0.1777873,0.16670753,0.14359866,0.11921006,0.09860093,0.08229801,0.07273909,0.07474708,0.091638,0.11817791,0.14332904,0.15595603,0.15373796,0.14251111,0.1323232,0.12827824,0.12851073,0.12636007,0.117794104,0.10373953,0.088764966,0.07746332,0.073898554,0.08074915,0.09790147,0.12003455,0.13952573,0.15036792,0.1520955,0.14725566,0.13889305,0.12800704,0.1147986,0.0996396,0.08413524,0.07050776,0.06017672,0.052544754,0.045394823,0.03708442,0.028569432,0.023617877,0.027201101,0.042244177,0.06731371,0.09566326,0.11861083,0.12931581,0.12577336,0.11000069,0.08681923,0.06321468,0.047342684,0.0459772,0.06010562,0.08363072,0.1057097,0.117181845,0.11500952,0.10301448,0.087951064,0.075253114,0.066947244,0.06235932,0.05979659,0.057375405,0.053345818,0.046560228,0.037317377,0.027646638,0.020489914,0.01844468,0.022461025,0.030854201,0.039301503,0.042740252,0.0386777,0.028883396,0.017908867,0.009591249,0.0050917026,0.0033907571,0.0030418315,0.0031739622,0.0036513405,0.004685795,0.0065229,0.00906242,0.011855178,0.014251192,0.01581408,0.016436048,0.016322633,0.015684282,0.014598015,0.01296458,0.010979393,0.010047432,0.013870341,0.028101085,0.05730487,0.10004568,0.14624168,0.18020688,0.18906969,0.17021626,0.13331439,0.095504105,0.07485228,0.08401505,0.12538634,0.18829878,0.25161746,0.29314935,0.30013683,0.2741945,0.22782815,0.17687452,0.13400601,0.10507042,0.08929315,0.08197584,0.07906508,0.0802188,0.08812038,0.10499891,0.12867145,0.15324546,0.17233938,0.18362059,0.18894607,0.19258778,0.19806026,0.20688035,0.21784513,0.22708668,0.22879969,0.21780074,0.19275485,0.15924786,0.12788372,0.110636264,0.11270163,0.13085626,0.15268199,0.16515875,0.1596133,0.13766082,0.108276784,0.08334917,0.07142315,0.0737922,0.08482611,0.09401709,0.09313581,0.08016655,0.06142931,0.04587743,0.040177878,0.04554748,0.059884343,0.08016337,0.10432441,0.1311702,0.16008037,0.18932058,0.21549828,0.23439264,0.24371046,0.24390186,0.23647237,0.22188799,0.20005997,0.17225337,0.14184724,0.11272625,0.08812407,0.07051236,0.06280935,0.06670896,0.08107862,0.09996688,0.116316594,0.12528045,0.12812348,0.13015793,0.13676746,0.14798129,0.15703118,0.1550517,0.13780151,0.10959146,0.07931949,0.054569643,0.03776055,0.027557189,0.021536766,0.017967297,0.015866296,0.014576126,0.013692324,0.013075988,0.012975083,0.013732329,0.015594871,0.018465588,0.021968512,0.025611209,0.029067576,0.032325152,0.03555851,0.0387572,0.041340515,0.04227181,0.04173097,0.04346201,0.0560659,0.08802551,0.14072905,0.20396386,0.26309517,0.30795118,0.33670804,0.3497046,0.34555522,0.32386252,0.29014716,0.2549568,0.22885545,0.21848102,0.22631621,0.24924167,0.28019217,0.30901903,0.32704115,0.32691336,0.30656067,0.2721453,0.23880781,0.22178411,0.22513013,0.2398737,0.25283763,0.25776473,0.2576476,0.25907996,0.26558843,0.27488267,0.28092515,0.27834454,0.26645195,0.2505218,0.23806864,0.23361437,0.23550673,0.23748781,0.23264027,0.2163053,0.18805987,0.1520935,0.11635091,0.088935114,0.07392895,0.07033094,0.073880546,0.08113688,0.08988789,0.09948682,0.10900601,0.11838768,0.12726074,0.1350465,0.13952883,0.13807337,0.12871285,0.11206008,0.091722935,0.073206775,0.061022,0.055772502,0.054009482,0.051174253,0.04516432,0.03763134,0.03219408,0.03239328,0.039335817,0.05137499,0.06394043,0.07269558,0.075479954,0.07377905,0.07022715,0.06708619,0.06522777,0.064858355,0.065789014,0.067355275,0.069265194,0.07115089,0.07261809,0.07142014,0.06539972,0.053796515,0.04017933,0.030771643,0.03308523,0.05152959,0.08554777,0.12780957,0.16821152,0.19812232,0.21467374,0.2192666,0.2146253,0.20210677,0.18225233,0.15750234,0.13311873,0.115932375,0.110351555,0.11618415,0.12836398,0.13818271,0.13704987,0.12046275,0.09243395,0.063359655,0.045231905,0.045373198,0.063530676,0.09193307,0.11786332,0.1308917,0.12818992,0.11692858,0.1079486,0.11068661,0.12812658,0.15700738,0.18677033,0.20369583,0.1968422,0.16632904,0.12412638,0.088145435,0.07121983,0.074362494,0.08687899,0.09473599,0.08966297,0.074042246,0.05677475,0.046012387,0.04359317,0.045872804,0.04871353,0.05222326,0.0629409,0.08781924,0.12874378,0.17706613,0.22151631,0.25362548,0.27404892,0.2864696,0.2951846,0.30132374,0.30482504,0.3037012,0.2963078,0.28299785,0.26809856,0.2563231,0.24952638,0.24598013,0.24532993,0.24962322,0.25976706,0.27071583,0.27375612,0.26342076,0.24050935,0.20977758,0.17581649,0.14324464,0.11795964,0.10544396,0.10811127,0.12302322,0.14492969,0.16745067,0.18457691,0.18934323,0.1772601,0.15023609,0.11948961,0.09942064,0.09855425,0.11254097,0.12909085,0.13767828,0.13866453,0.14038499,0.15170182,0.17329173,0.19931509,0.22150795,0.23552437,0.24022675,0.23731773,0.2291987,0.21984054,0.21324317,0.21206367,0.21593112,0.22234744,0.22828305,0.23103185,0.22844757,0.21954338,0.20580453,0.1904077,0.17563029,0.16039442,0.14199907,0.12053809,0.10221732,0.09678942,0.10991442,0.1372443,0.16534416,0.18214633,0.18449797,0.17987692,0.17571622,0.1733865,0.16606025,0.1479925,0.11925762,0.08789519,0.06301821,0.04985461,0.04605332,0.046230022,0.046815407,0.0509402,0.063286334,0.08446167,0.10564973,0.11558478,0.10772258,0.08622112,0.061584473,0.045343146,0.044779073,0.060324382,0.084672846,0.10477403,0.109706394,0.097281456,0.07586484,0.056711238,0.04659535,0.044485103,0.045358762,0.04458472,0.041018266,0.038517024,0.04584093,0.07402086,0.12708701,0.19542201,0.25548014,0.28475258,0.27586052,0.24254502,0.210263,0.20037054,0.22133215,0.26442027,0.3136451,0.35024104,0.36391103,0.35072267,0.3172562,0.27570382,0.24410124,0.23599307,0.25419125,0.28566933,0.31127372,0.31699225,0.30257627,0.27729568,0.2515886,0.23113184,0.21565056,0.2026235,0.1894541,0.17858928,0.17515063,0.1845745,0.20550816,0.2332895,0.26279473,0.29141995,0.3136289,0.31976286,0.3013706,0.25875923,0.20268112,0.1472833,0.10398427,0.07825634,0.071677394,0.08323991,0.11062399,0.14850539,0.18780942,0.21575934,0.2217347,0.20245093,0.16508149,0.12307752,0.09083616,0.07817531,0.08725988,0.112481035,0.14408891,0.17467009,0.20068197,0.22042094,0.22970493,0.22538428,0.20835193,0.18595272,0.16580042,0.1538188,0.15154189,0.15801387,0.16700743,0.16934723,0.15688492,0.12985356,0.09791583,0.075634,0.07359466,0.09249228,0.12227166,0.14841789,0.15895611,0.15143166,0.13283812,0.118123196,0.119809896,0.14240271,0.17662396,0.20975976,0.23129356,0.24064577,0.24055482,0.23628347,0.23132896,0.22985928,0.23318319,0.2395144,0.24184735,0.23264992,0.20892237,0.17833221,0.15615083,0.15565963,0.17736816,0.20857562,0.23252356,0.23883195,0.22670804,0.20199649,0.17256568,0.1444931,0.121104755,0.10410466,0.098908775,0.1120711,0.14653958,0.19175042,0.22911854,0.24006961,0.21979386,0.17779408,0.13490579,0.11084152,0.11500313,0.14115582,0.17474318,0.20240873,0.21900207,0.22430663,0.22086151,0.21130462,0.20037621,0.191492,0.18722647,0.18846406,0.19678016,0.21124858,0.22621667,0.23168576,0.2196095,0.1907986,0.1569411,0.13499315,0.13676642,0.16064672,0.19241105,0.2133057,0.21210374,0.19050823,0.163595,0.14845125,0.15574747,0.18243666,0.2199016,0.25903153,0.29565787,0.32511714,0.34277323,0.34419498,0.33093038,0.3088453,0.28750527,0.2728265,0.2677591,0.2715403,0.28750157,0.31860974,0.3629329,0.40454075,0.42435455,0.41232014,0.37834847,0.34060153,0.31349996,0.29838705,0.2902185,0.28368106,0.27884424,0.27902722,0.28769085,0.3045515,0.3258458,0.34667504,0.36188987,0.3658999,0.3542036,0.3297198,0.30461362,0.2929386,0.29948255,0.31590214,0.32950225,0.3318256,0.3245977,0.31689307,0.32050392,0.34032276,0.36860403,0.3891363,0.39010087,0.3737074,0.35218248,0.33611226,0.32640898,0.31675124,0.30129418,0.28103885,0.26283386,0.25396958,0.25554326,0.2625638,0.2683462,0.27064225,0.27163753,0.27551022,0.28381923,0.29549813,0.30674616,0.3140644,0.31455457,0.30778658,0.29514554,0.28100815,0.27013755,0.26659715,0.26992056,0.27803102,0.28715762,0.2966089,0.30729893,0.324556,0.35251835,0.38925704,0.42169276,0.43358263,0.41980016,0.39222935,0.3707101,0.36354944,0.36214888,0.34890738,0.31545505,0.26954475,0.22927414,0.20905922,0.2085619,0.21472149,0.21017797,0.18643905,0.14774151,0.10989077,0.08992216,0.09714466,0.12752587,0.1678306,0.20317064,0.22431242,0.2284127,0.21906489,0.20307688,0.1889357,0.1813687,0.18073231,0.18439583,0.19108118,0.20018889,0.20869029,0.2094981,0.19610828,0.16887136,0.13804539,0.11873561,0.12198913,0.14739607,0.18352155,0.2155438,0.23453945,0.24136685,0.2444656,0.25197825,0.2669458,0.2841183,0.29565609,0.29544652,0.28496253,0.2701094,0.25826,0.2519523,0.25033176,0.25032836,0.25204864,0.25654402,0.26556864,0.27946874,0.30122223,0.3346413,0.3784013,0.41973436,0.43867183,0.42290583,0.37655282,0.31841493,0.26728764,0.23363663,0.21529841,0.20453219,0.19465746,0.1877182,0.19077909,0.20780696,0.23228173,0.25352478,0.26695833,0.27783832,0.29248703,0.30809534,0.31547084,0.30807135,0.29120627,0.2754936,0.26978382,0.27382043,0.2825315,0.2896355,0.29264787,0.29245472,0.29204974,0.29299793,0.2949259,0.29662892,0.29861227,0.30271414,0.31012368,0.31981888,0.32909265,0.33620572,0.3408347,0.343823,0.34455526,0.34213188,0.33585942,0.32739973,0.3184314,0.31040433,0.30286476,0.29549852,0.2875363,0.27970478,0.27322283,0.27054444,0.27234066,0.27754065,0.28217658,0.28286,0.27736738,0.2675396,0.25627038,0.24818344,0.24750577,0.26155868,0.29589716,0.3485448,0.4034653,0.43757954,0.43608406,0.4016769,0.35166037,0.30180612,0.25918412,0.22132327,0.1870435,0.16087867,0.1519332,0.1653301,0.19517928,0.2270741,0.24545367,0.24413212,0.22732855,0.20701785,0.19415869,0.19415231,0.20521937,0.22229694,0.2405927,0.2555438,0.2622888,0.25611976,0.2387018,0.21735603,0.20218068,0.19636099,0.19842152,0.20408744,0.21287607,0.22297782,0.23021549,0.2266799,0.20897101,0.1825185,0.16152678,0.15929537,0.17999834,0.21715821,0.2610993,0.3046116,0.3434346,0.37225506,0.3856245,0.3808056,0.36137596,0.3343918,0.3079454,0.28730202,0.2755031,0.2724104,0.27562836,0.28057042,0.28242218,0.27835217,0.2673147,0.24861133,0.22325684,0.19947934,0.19706295,0.23365216,0.3075539,0.38713646,0.43468598,0.43112192,0.38929686,0.3341922,0.28505933,0.24661936,0.21826209,0.19981529,0.19492729,0.20493734,0.22676678,0.24966581,0.2627702,0.2589035,0.24053983,0.21562313,0.19539396,0.18771225,0.19525306,0.21323122,0.2339996,0.24904568,0.25302252,0.24292411,0.22288011,0.2016217,0.18973352,0.18936276,0.19688483,0.20587732,0.21526928,0.22312535,0.22568387,0.21485405,0.18830991,0.15209316,0.1218838,0.11216974,0.12837543,0.16127299,0.19280072,0.20627533,0.19669582,0.17424147,0.1563863,0.15655716,0.17413568,0.19871445,0.2178816,0.22668022,0.2266587,0.22413789,0.22404982,0.2284082,0.23494418,0.2424088,0.25300464,0.27074578,0.2963688,0.32607922,0.35822725,0.39246273,0.42570797,0.44416353,0.43426022,0.39379194,0.33763745,0.2839305,0.24271695,0.21241562,0.18876052,0.17115891,0.16561651,0.17742449,0.2040307,0.23093243,0.23983018,0.22093797,0.18085693,0.13979235,0.11918963,0.1300041,0.16653483,0.21279871,0.2522505,0.27619386,0.28262833,0.2745551,0.25754917,0.23991303,0.22796474,0.22317736,0.22236097,0.22331746,0.22671811,0.2333742,0.23828858,0.2328055,0.21115375,0.1805023,0.15748638,0.15888537,0.1872441,0.23108657,0.27250203,0.2999418,0.31150627,0.31307933,0.31106332,0.30925956,0.30693114,0.3025854,0.29463053,0.28341246,0.2698759,0.25832704,0.2541795,0.26098457,0.27429554,0.28556904,0.28743634,0.28094,0.27258018,0.27290943,0.28930435,0.32184348,0.35719,0.3753086,0.36080036,0.3138394,0.24857743,0.18508935,0.14093001,0.12462167,0.13265564,0.15072356,0.16321672,0.16202588,0.14993823,0.13480759,0.12342153,0.11825236,0.11820825,0.12039267,0.122110434,0.122885086,0.124468625,0.12870292,0.13501842,0.14032811,0.14136498,0.13682134,0.1277798,0.11671456,0.10618622,0.098115,0.09328503,0.09154483,0.09191709,0.09298271,0.09314219,0.09140723,0.08760828,0.08253381,0.077507615,0.075172365,0.07886863,0.091167234,0.11078447,0.13266706,0.15031405,0.15933676,0.15854698,0.1494339,0.13537617,0.12029182,0.106660195,0.09422129,0.08131952,0.068259634,0.056965683,0.049025178,0.042857964,0.03669939,0.03055879,0.026654117,0.026067704,0.027724331,0.030008072,0.032533433,0.03608429,0.040582266,0.044739347,0.047668334,0.05095006,0.05819045,0.07084376,0.08715206,0.1048663,0.12709332,0.15917625,0.20077144,0.24018186,0.26031914,0.25138867,0.21860011,0.18205832,0.16501498,0.18112685,0.22429578,0.27380154,0.3083319,0.31875893,0.3092215,0.28837693,0.26377812,0.23928022,0.21725501,0.19738124,0.18000317,0.16799925,0.16765173,0.1810237,0.20117152,0.21433212,0.21071799,0.19160688,0.16743253,0.15077417,0.14893562,0.16242605,0.18306826,0.19877656,0.19791579,0.17835839,0.14753434,0.11836336,0.099158145,0.090361945,0.087287605,0.08676863,0.08953285,0.09622338,0.103748836,0.10494957,0.09493858,0.074837975,0.052517366,0.03723525,0.0356335,0.04821061,0.0699609,0.09158793,0.10492519,0.10866872,0.112707295,0.13623469,0.19342197,0.28041545,0.36785164,0.4209139,0.41914716,0.37128067,0.30230448,0.24015434,0.20442186,0.20542453,0.24050194,0.29358685,0.3405914,0.3634995,0.35899436,0.33778083,0.3131522,0.2933818,0.279742,0.27080056,0.265308,0.26305473,0.26491025,0.27212963,0.284434,0.29758704,0.30339873,0.2950587,0.27228177,0.24284041,0.21888025,0.21199425,0.2319928,0.27969614,0.34346697,0.39531043,0.40934107,0.37660155,0.3149966,0.252475,0.21098612,0.19677722,0.20530625,0.2277114,0.2536324,0.273796,0.28208992,0.27954635,0.27295303,0.2698592,0.27273342,0.2777457,0.28051782,0.27975717,0.27862895,0.27975866,0.28475246,0.29208472,0.30001125,0.3050795,0.30603245,0.3002776,0.28701985,0.26718464,0.25325385,0.26258865,0.30501208,0.36517444,0.4119304,0.42145118,0.39528283,0.35415688,0.31829837,0.2983313,0.29529023,0.30698368,0.3275601,0.34943473,0.36558548,0.37268165,0.371619,0.36497757,0.35435787,0.33801803,0.31326002,0.28160504,0.25164625,0.2347828,0.23766023,0.25688687,0.28169343,0.29859164,0.30024526,0.28770483,0.27146825,0.2640235,0.27657858,0.31239387,0.36373988,0.40940082,0.42486766,0.39741325,0.33571562,0.26320282,0.20379867,0.17135756,0.1686271,0.1897542,0.22573328,0.2669147,0.3065351,0.3393452,0.36376703,0.3796949,0.388896,0.38979387,0.38098988,0.36144742,0.3367308,0.31338736,0.2998865,0.2979234,0.3055575,0.31291962,0.31284702,0.30061314,0.281724,0.26559147,0.26780793,0.2970005,0.3496419,0.4018086,0.42730758,0.41299573,0.3707758,0.32190797,0.28155148,0.24921983,0.21869318,0.18805939,0.16600443,0.16269758,0.18227112,0.21616916,0.25224912,0.28015962,0.29644242,0.29990825,0.29178607,0.27663884,0.26303384,0.25907874,0.2672691,0.2821473,0.29482663,0.29777917,0.29181695,0.28331983,0.28173414,0.292351,0.3176055,0.3549845,0.39577588,0.42396978,0.42424962,0.39325532,0.3421692,0.289144,0.24890411,0.22894514,0.22979765,0.24529469,0.26493052,0.27767447,0.27891394,0.27161983,0.265359,0.26762486,0.27935368,0.29195717,0.29582265,0.28556272,0.2653762,0.24373198,0.23164438,0.23396195,0.24954504,0.26754928,0.27912804,0.2780739,0.26879656,0.25899327,0.2649655,0.2975453,0.3566536,0.41815925,0.45407608,0.4478445,0.410153,0.36221492,0.32270217,0.2955195,0.27661464,0.25957644,0.2442711,0.2346463,0.23523557,0.24208875,0.2443627,0.23034066,0.19831526,0.15883696,0.1285818,0.11995915,0.1344642,0.16441031,0.19905174,0.22910781,0.2500675,0.26245806,0.27366662,0.2909411,0.31730863,0.34861362,0.38326144,0.42232683,0.46487275,0.49838018,0.50749046,0.4871384,0.44848743,0.40759513,0.37383488,0.34803984,0.3293691,0.31809577,0.3152926,0.31870374,0.32471666,0.32924792,0.33109602,0.33028892,0.32730913,0.32237872,0.31684303,0.31310874,0.3129268,0.31601748,0.32035944,0.3228894,0.32003233,0.31010807,0.2965027,0.28767797,0.29295242,0.31787392,0.3641797,0.4262972,0.4889811,0.5273393,0.5234095,0.4793457,0.41768387,0.3620189,0.32145002,0.2905077,0.2613466,0.23416348,0.21702479,0.21729273,0.23314452,0.2519244,0.25879443,0.24606408,0.21796809,0.18602735,0.16282748,0.15636165,0.16791572,0.19266559,0.22186078,0.24696569,0.26095822,0.26102367,0.24880685,0.23148268,0.22032274,0.22663082,0.25924054,0.31369567,0.37321743,0.40805316,0.4002255,0.34947705,0.28023604,0.21887307,0.18505675,0.18156214,0.20047672,0.2279418,0.24945796,0.25607908,0.24619551,0.2297041,0.21969931,0.2263902,0.24680036,0.27083364,0.2861123,0.2883971,0.27948034,0.26810163,0.261488,0.26423535,0.27250883,0.28109112,0.28341737,0.27923727,0.27244893,0.27605668,0.30275095,0.35601628,0.41949546,0.466995,0.47972712,0.45831624,0.41639575,0.3671054,0.316959,0.27027544,0.23594934,0.2281154,0.2570676,0.3183842,0.38811985,0.4352117,0.43976775,0.4049952,0.34901094,0.28983152,0.23489499,0.18430491,0.13749811,0.09738883,0.06798694,0.05105808,0.044593155,0.04449256,0.046679333,0.0482612,0.047868673,0.04727593,0.053137228,0.075796954,0.121122636,0.1822877,0.23843867,0.26847997,0.26457107,0.23807655,0.20731223,0.18572439,0.17384131,0.1646005,0.15127867,0.13577853,0.12848382,0.13905914,0.16604297,0.19472748,0.2089686,0.2027966,0.18357909,0.1620139,0.1437316,0.12685059,0.108988754,0.09164899,0.081332766,0.08293223,0.09643513,0.115843974,0.13529186,0.15200527,0.16696644,0.18092392,0.19225495,0.19776876,0.19492696,0.18421198,0.1678846,0.14906512,0.1296243,0.11136464,0.096160114,0.08594789,0.08106961,0.07963764,0.07907113,0.07761917,0.07552935,0.073982775,0.0742813,0.07628229,0.07800016,0.07641558,0.07037506,0.062504694,0.057477612,0.058073703,0.06249665,0.06673902,0.0676559,0.064893164,0.059276503,0.051672313,0.042982787,0.0347889,0.029135471,0.02698153,0.027448192,0.028661618,0.029417844,0.02993173,0.030694077,0.03193063,0.033988666,0.037974432,0.04473148,0.052844685,0.05894207,0.059749413,0.05505459,0.047646213,0.041474987,0.039452985,0.042112317,0.048153143,0.05459625,0.05876166,0.05879675,0.054911386,0.048269887,0.04094201,0.034872018,0.03201518,0.033022173,0.036996067,0.041700616,0.048733134,0.06745803,0.11547371,0.20160677,0.31322983,0.41206184,0.46363664,0.45781264,0.4175481,0.3729987,0.3441871,0.33275998,0.33295462,0.33865976,0.3466773,0.354275,0.3603597,0.36740232,0.38388905,0.41463506,0.4540356,0.48232475,0.4841894,0.4587578,0.4234563,0.39562443,0.38379622,0.38381776,0.38802707,0.38955006,0.38654172,0.37973213,0.3730482,0.37213668,0.38699612,0.42402866,0.4779389,0.52574897,0.54227364,0.51814955,0.46816766,0.4166304,0.38028327,0.36152923,0.35543504,0.3576585,0.3667134,0.38136387,0.39946082,0.42031205,0.44803548,0.48763528,0.536838,0.5795253,0.596005,0.5771782,0.5352395,0.49201298,0.46531639,0.45729318,0.46023253,0.46340284,0.46077323,0.45163068,0.43971562,0.43186283,0.4355094,0.45505163,0.4855185,0.51150167,0.51497084,0.48797742,0.43983924,0.38951123,0.3535047,0.3357769,0.3309646,0.32996157,0.3281535,0.32426658,0.32013655,0.3183854,0.3268169,0.35547093,0.405856,0.45991087,0.4851104,0.46005443,0.39144275,0.3107202,0.24796985,0.21458942,0.20283169,0.19863164,0.19399218,0.1873043,0.18083166,0.1770169,0.1835834,0.21493538,0.28013584,0.36828557,0.44293192,0.4694688,0.43787912,0.3728076,0.3076363,0.2639148,0.2423986,0.23443182,0.23241477,0.2317469,0.2299409,0.2273006,0.23443846,0.26893827,0.33950678,0.4284018,0.49750507,0.5185712,0.49519214,0.45573017,0.42412916,0.40317717,0.38144624,0.34937856,0.3098958,0.27188405,0.24560158,0.23595674,0.24805151,0.28290346,0.33260062,0.3747444,0.38325584,0.34901825,0.2865339,0.22393109,0.17987718,0.15755464,0.14875953,0.1456722,0.14418645,0.14407909,0.14712134,0.15556502,0.17020345,0.18860364,0.20585047,0.2168049,0.21908122,0.21389405,0.20538956,0.19806677,0.19423492,0.19211036,0.18644828,0.17146997,0.14555939,0.11395375,0.08753475,0.07612727,0.081817724,0.09661124,0.10829815,0.10895017,0.09980181,0.08808854,0.07990711,0.07570696,0.07143003,0.06375062,0.05334513,0.045333147,0.045128256,0.054856133,0.07109651,0.08755633,0.09955347,0.10661862,0.11131975,0.11522267,0.11810684,0.118968666,0.11869222,0.118997514,0.12090772,0.12329648,0.12442266,0.123256385,0.119621694,0.112752676,0.1011009,0.08390585,0.06301779,0.042572845,0.027031124,0.019626157,0.022277823,0.035090014,0.054907963,0.07488145,0.08765613,0.09029231,0.08588306,0.08068267,0.07923269,0.0822683,0.08702468,0.0895538,0.08710978,0.080095194,0.071720816,0.06581954,0.064499356,0.06735111,0.07201315,0.075398035,0.075383745,0.072070144,0.0676367,0.064581305,0.06405682,0.06546471,0.06715331,0.067454934,0.06564678,0.062378485,0.059125032,0.057054546,0.056549355,0.057381406,0.058878887,0.059849773,0.05912749,0.056721237,0.05356889,0.051234692,0.05151376,0.058404583,0.07595093,0.10512336,0.1396954,0.170443,0.19010921,0.19769037,0.19484217,0.18332754,0.16349213,0.13738269,0.11008689,0.08945736,0.081571944,0.08669401,0.098126985,0.10808138,0.11304024,0.11590371,0.120387934,0.12799518,0.13695933,0.1473291,0.16343956,0.19530185,0.25012514,0.32280442,0.38977122,0.42322162,0.4098618,0.36259913,0.3067566,0.26168248,0.22939049,0.202511,0.1753547,0.15162499,0.1399368,0.14582318,0.163859,0.18001239,0.18021351,0.16074167,0.13057376,0.105760455,0.099741526,0.11687493,0.15158589,0.19320226,0.23097587,0.25768426,0.26939943,0.26535067,0.24864553,0.22591917,0.20571083,0.1934581,0.1913705,0.19895996,0.21530603,0.23631819,0.25230432,0.25174823,0.22939785,0.19445653,0.16625063,0.16261058,0.18713559,0.22667463,0.2598935,0.26957256,0.25287646,0.22266036,0.19861229,0.19465894,0.20898385,0.22991955,0.24458796,0.2498283,0.24908473,0.25046644,0.2582982,0.27332953,0.28926125,0.29938236,0.29576215,0.27681157,0.24752869,0.22738141,0.23766051,0.287154,0.35448578,0.40441823,0.41164076,0.38179746,0.33704305,0.29607928,0.2592487,0.21938528,0.17422275,0.13489392,0.11605746,0.12506172,0.15275902,0.18062298,0.1904592,0.17633353,0.14525025,0.114019275,0.09938086,0.110460006,0.1445334,0.1904248,0.23427187,0.26466763,0.27479112,0.26517054,0.2437704,0.2225309,0.20963776,0.20592533,0.20870979,0.21642327,0.22881131,0.24021846,0.23993957,0.21999054,0.18646096,0.15966092,0.15985768,0.19259888,0.24337904,0.29159692,0.3231486,0.33832192,0.34454635,0.3509107,0.36214653,0.37838736,0.3939863,0.4015613,0.39698592,0.38425407,0.37260345,0.36904505,0.37268367,0.37669548,0.3764398,0.37224916,0.36686587,0.36152217,0.35955897,0.3706803,0.40267292,0.44972548,0.48695162,0.4911554,0.45714512,0.40260544,0.34719753,0.3001205,0.25828782,0.21954131,0.18849373,0.17555316,0.18651827,0.21686213,0.25126567,0.2733834,0.27435997,0.25789168,0.235955,0.22161089,0.22152974,0.23449795,0.2550881,0.2778703,0.2985958,0.31192222,0.31346452,0.30225268,0.28330836,0.26375476,0.25039238,0.24814278,0.25879964,0.2783915,0.29564407,0.2989581,0.28420565,0.25994846,0.24109294,0.23998697,0.25821635,0.28599548,0.30783567,0.31078175,0.2924641,0.26136044,0.23378126,0.2232629,0.23469138,0.25976396,0.2845389,0.29675123,0.29449245,0.28457665,0.27862415,0.284175,0.30056253,0.31833622,0.32655236,0.31956983,0.30060485,0.28072825,0.275836,0.30068693,0.35566726,0.42017937,0.45991075,0.45335636,0.4060341,0.3448707,0.29300922,0.25669488,0.22890668,0.20325048,0.18252307,0.17447986,0.18446295,0.20756657,0.23311277,0.24992855,0.25325415,0.2428506,0.22300553,0.20081167,0.18615942,0.18618457,0.20300432,0.23075044,0.2602706,0.2803211,0.28593704,0.2780552,0.26498428,0.253085,0.24680604,0.24674268,0.25406423,0.26646468,0.27716318,0.27474955,0.25188354,0.21240216,0.17382865,0.15590896,0.16854018,0.20276046,0.24019182,0.26241186,0.26332754,0.24669044,0.2264532,0.21491653,0.21905832,0.23262997,0.2469735,0.2547247,0.2575711,0.25910357,0.2658718,0.28174958,0.3076761,0.33603057,0.35744378,0.36502004,0.36202756,0.35613218,0.3588622,0.3757405,0.40320173,0.42405617,0.4201603,0.38498926,0.32887003,0.26864108,0.21610278,0.17515993,0.14658976,0.13233258,0.13700537,0.1620907,0.20170419,0.23858352,0.25436702,0.2393258,0.20079578,0.15644209,0.12568888,0.119869865,0.14050491,0.18009348,0.22851826,0.27522066,0.31148407,0.32825235,0.32126942,0.29317352,0.25596747,0.2237411,0.20778765,0.21034598,0.22520559,0.23931064,0.24044587,0.2228942,0.19129668,0.15778689,0.13723767,0.13937934,0.16369897,0.1984794,0.22832733,0.24284683,0.2418979,0.23355162,0.22745305,0.22910438,0.23700704,0.24694645,0.25595978,0.26420465,0.2714337,0.27606773,0.27708265,0.27691856,0.2790698,0.28532907,0.29207936,0.29488847,0.29164958,0.2912521,0.3074403,0.34889713,0.40356386,0.44492412,0.45069468,0.42008707,0.3704959,0.32056692,0.27951908,0.24771011,0.2235748,0.20808387,0.20365034,0.21192831,0.22793992,0.2412299,0.23926722,0.21706791,0.1804788,0.14543353,0.13016544,0.1458254,0.189614,0.24599476,0.29618308,0.32783902,0.3376597,0.3282371,0.30388495,0.2705836,0.23560214,0.2069425,0.19030522,0.18738262,0.19452411,0.20392162,0.2061715,0.19577819,0.17496382,0.15460289,0.1469989,0.15890837,0.18646006,0.22048648,0.24982317,0.26730934,0.26911172,0.26142135,0.25548902,0.26329914,0.28341663,0.30556157,0.31666592,0.3147396,0.30605802,0.3026906,0.31063715,0.32860765,0.34551048,0.35318244,0.3491108,0.34136537,0.3390632,0.3532271,0.38778803,0.43522942,0.4724399,0.47716808,0.44784653,0.40536988,0.3740689,0.35959294,0.3507931,0.33342075,0.30466902,0.27460358,0.25866675,0.26699352,0.29471183,0.32541072,0.34087837,0.3334305,0.30602393,0.26782668,0.22763038,0.19336647,0.17165901,0.16923529,0.18716794,0.21849239,0.24571085,0.25422147,0.24080838,0.21872689,0.20391934,0.20559639,0.22161245,0.24470258,0.26648554,0.27933338,0.27775928,0.26127213,0.23659651,0.2153216,0.20790994,0.21816336,0.24124701,0.26709732,0.28399205,0.2844553,0.26841804,0.24735868,0.23626643,0.24480967,0.2664601,0.28783128,0.29720068,0.29592404,0.29080483,0.29142478,0.3007361,0.31802788,0.33608195,0.34989905,0.35564587,0.35580274,0.3538501,0.3592205,0.37912545,0.41388455,0.4465209,0.45575225,0.43044427,0.3813945,0.32846996,0.28745696,0.26184708,0.24973796,0.24768353,0.25440797,0.26704907,0.28170386,0.2916381,0.29294232,0.28543773,0.27378422,0.26079664,0.24645121,0.22793539,0.2060159,0.18589461,0.17793562,0.18823397,0.21424705,0.24062507,0.25329044,0.24713768,0.23224236,0.2210738,0.22303842,0.2385531,0.26308262,0.28660765,0.29917204,0.29550517,0.2792744,0.25979248,0.24656595,0.24558876,0.25783446,0.27859262,0.29822844,0.3053718,0.2939675,0.2672721,0.23984362,0.22738259,0.23799866,0.2634299,0.28850153,0.29944944,0.29518864,0.28299135,0.27715382,0.28662,0.3127632,0.34266946,0.3626727,0.3617686,0.34351084,0.31879535,0.3083512,0.3254582,0.3686529,0.4125788,0.4295189,0.40671954,0.35717154,0.30259275,0.25868663,0.22685225,0.20259702,0.18314575,0.17358987,0.17957838,0.20119421,0.22626092,0.24077918,0.23628922,0.21788768,0.19627611,0.18329446,0.18423711,0.19995451,0.22636689,0.25937068,0.29177678,0.3148612,0.31778166,0.29873112,0.26577803,0.23501845,0.21607137,0.21116513,0.21572594,0.22679186,0.24035113,0.25196597,0.25487587,0.24574171,0.22745861,0.21071905,0.2079973,0.22473823,0.25425354,0.28045562,0.28773096,0.27047208,0.2380295,0.21114962,0.20904447,0.23629045,0.27857113,0.3142973,0.32891706,0.32248995,0.30461112,0.28654322,0.27493247,0.27074245,0.27005157,0.26720217,0.2570249,0.24029325,0.2267463,0.23641534,0.28268793,0.35788512,0.42617312,0.45199028,0.42374933,0.3642631,0.30479875,0.26405162,0.2397459,0.22255011,0.20748042,0.19895892,0.20175298,0.21444641,0.2245155,0.22019835,0.1968921,0.16371487,0.13274567,0.11491427,0.11349744,0.12886937,0.15823229,0.19900781,0.2453072,0.28789386,0.31350324,0.31198108,0.28150174,0.2317216,0.17914248,0.14126107,0.12889631,0.14244378,0.17129755,0.20133127,0.22137304,0.22856702,0.2253325,0.21844004,0.21457076,0.21979325,0.23429148,0.2540505,0.27087167,0.2795329,0.27871946,0.2751558,0.27680156,0.2896568,0.30979565,0.32942414,0.33992234,0.34033343,0.33456245,0.33072832,0.33332312,0.34129357,0.34735158,0.34567225,0.33460972,0.31891719,0.30622122,0.30939922,0.33693948,0.38545522,0.4302598,0.4440035,0.41310266,0.34999815,0.27695084,0.21329771,0.16655914,0.13929307,0.13390096,0.15800424,0.21513301,0.2946627,0.36396942,0.38781193,0.35175052,0.2752081,0.19516481,0.14133242,0.12183046,0.12835486,0.15115885,0.19071484,0.24956532,0.32057226,0.37688676,0.39265528,0.35958934,0.29911828,0.24403311,0.22449459,0.25115892,0.31327486,0.37947842,0.41638312,0.40655145,0.35813817,0.29339954,0.23420723,0.19314916,0.17680837,0.1881237,0.22940104,0.29439113,0.3669289,0.41912553,0.43004322,0.3957592,0.33487836,0.27102077,0.22039609,0.18527181,0.16384105,0.15882032,0.1813532,0.23718531,0.31451166,0.37944648,0.39859852,0.35987988,0.2824573,0.20246606,0.15551008,0.1625437,0.21977563,0.2992741,0.36048332,0.37651345,0.34530663,0.28645352,0.22173487,0.16784935,0.1330652,0.119042285,0.11948296,0.12440684,0.12837909,0.13332345,0.14446753,0.16097026,0.17559421,0.17983954,0.17203788,0.15777765,0.14484619,0.13725698,0.13366465,0.13098018,0.12782764,0.12541297,0.12467543,0.124503024,0.1221728,0.116046816,0.10694862,0.097973965,0.09337429,0.09627634,0.106829084,0.11994568,0.128263,0.12564601,0.111667186,0.09050075,0.068579994,0.051037233,0.03985293,0.034131642,0.03262056,0.037008747,0.051334545,0.076977946,0.10809106,0.13297208,0.14237648,0.13547222,0.119580775,0.10258758,0.087896824,0.07403359,0.059556697,0.046471123,0.04000085,0.044030905,0.05697973,0.071231425,0.078114934,0.075018294,0.071232446,0.086387284,0.13872522,0.22733621,0.3251963,0.39366105,0.4102571,0.3817767,0.33245263,0.28169033,0.23538591,0.19422096,0.16210721,0.1467423,0.15177049,0.17310362,0.1988727,0.2156703,0.21474457,0.1966471,0.1702087,0.14742458,0.1375816,0.14398761,0.16426666,0.19291733,0.22293742,0.24707197,0.25808036,0.25212887,0.23160164,0.20517135,0.18299496,0.170309,0.16814016,0.17594093,0.19472988,0.22080903,0.24286346,0.24583502,0.22371572,0.18711048,0.15816112,0.15606193,0.18427335,0.22851224,0.265255,0.27639383,0.2589632,0.22873302,0.20693725,0.20868815,0.22957332,0.25574827,0.2717186,0.27452993,0.26835796,0.2628273,0.26289544,0.27031735,0.28082514,0.2904748,0.29326984,0.284785,0.263952,0.2427301,0.24509954,0.28838643,0.36379185,0.43261194,0.45935878,0.43439218,0.38035765,0.32132623,0.26792464,0.21553797,0.16390319,0.123671375,0.1102345,0.1289111,0.16723736,0.20209642,0.21310516,0.19548398,0.16070627,0.13042437,0.12253842,0.1427055,0.18055046,0.220371,0.2495025,0.26500595,0.2673075,0.25888535,0.24289097,0.22619462,0.21508259,0.21206726,0.2162069,0.2259661,0.23977835,0.25082278,0.24898237,0.2272235,0.19200617,0.16155304,0.15513436,0.17913727,0.22179408,0.25984004,0.27269223,0.25435975,0.21823283,0.18608437,0.17552839,0.18641317,0.20747656,0.22412926,0.2315694,0.2320547,0.23369409,0.24183154,0.25845146,0.27837524,0.2939751,0.29572845,0.27891976,0.24742253,0.22086586,0.22665171,0.28070349,0.36723185,0.44491887,0.47683382,0.45687082,0.40716097,0.35329548,0.30642048,0.26580873,0.23149015,0.20927185,0.20454866,0.21548581,0.2318642,0.24207477,0.23840384,0.22119963,0.19666684,0.17532802,0.16623946,0.1740763,0.19640307,0.22818567,0.26297322,0.29522237,0.31664285,0.32173783,0.30993375,0.28925082,0.26847568,0.25337896,0.24553756,0.24578011,0.25388023,0.26469436,0.26947328,0.26135847,0.24330612,0.22625434,0.22269984,0.23718376,0.26470092,0.29290983,0.31022727,0.31130174,0.30019405,0.2867335,0.27947593,0.2805353,0.28526258,0.2887354,0.28949073,0.2906194,0.29540265,0.3055776,0.32042024,0.33822152,0.3564258,0.3721962,0.38210115,0.38554838,0.38768148,0.40096974,0.43257853,0.47487083,0.5026235,0.49572,0.45326507,0.3964307,0.3480585,0.32160273,0.318634,0.33540866,0.3652397,0.3993866,0.42921996,0.44823587,0.45245162,0.4388276,0.40636122,0.35851595,0.30528238,0.25981638,0.23270495,0.22715326,0.24019952,0.2660755,0.29869077,0.33096513,0.35624334,0.37104714,0.3775431,0.38011956,0.38110867,0.3784603,0.36896503,0.35137418,0.32740018,0.3000935,0.272502,0.24876596,0.2344182,0.23553348,0.253831,0.2851117,0.3202386,0.35082626,0.3716106,0.38098696,0.37975872,0.3705002,0.35688975,0.34158662,0.32631353,0.3121766,0.30166444,0.2983119,0.306638,0.32882452,0.3621701,0.3965169,0.41940865,0.42018917,0.39731404,0.35906813,0.3263059,0.31981325,0.34536433,0.38156617,0.39662424,0.37327918,0.32160628,0.2638838,0.21392255,0.17187618,0.13463716,0.10667736,0.09935674,0.11956662,0.16046657,0.20038001,0.21722852,0.20152672,0.16354507,0.123662345,0.100695096,0.10169519,0.12233532,0.15257047,0.18327965,0.2087742,0.22485684,0.22927506,0.22364223,0.2144325,0.20810862,0.2052386,0.20258445,0.19748563,0.19240345,0.18773486,0.17960013,0.16107467,0.13312721,0.10767481,0.100901015,0.12096238,0.160176,0.20088415,0.22414798,0.22220708,0.20030321,0.17785116,0.17386091,0.19672425,0.2338397,0.26562765,0.27799657,0.27434537,0.2668382,0.26937744,0.2887299,0.32400632,0.36461282,0.39474848,0.39904222,0.37422743,0.33318615,0.30496624,0.3116819,0.3528949,0.39566314,0.4062651,0.37120393,0.30909052,0.24373017,0.18886018,0.14382653,0.10764567,0.08581952,0.08697325,0.11352738,0.1553989,0.19298363,0.2076581,0.19235294,0.1557238,0.11643725,0.092926286,0.093824886,0.11529541,0.14654954,0.17683168,0.2000506,0.21223335,0.21244492,0.20337956,0.19306736,0.1885646,0.19160408,0.19874138,0.20684592,0.21433763,0.2184398,0.21290551,0.19316365,0.16248292,0.13515534,0.12808986,0.14999847,0.1921907,0.23371084,0.25323132,0.24331911,0.21399431,0.18636666,0.17907266,0.19686158,0.23022199,0.26306322,0.28437474,0.2913084,0.28888544,0.2844609,0.28457955,0.29024062,0.29627693,0.29326576,0.27498636,0.2464395,0.227822,0.24454193,0.3055858,0.3896178,0.45539954,0.47456285,0.44949877,0.40569434,0.36290714,0.32400966,0.28164294,0.2358792,0.1983183,0.18382543,0.19733836,0.22843985,0.25765088,0.26835024,0.25653687,0.23079152,0.20596759,0.19333737,0.19683488,0.21276174,0.23632638,0.26243412,0.28731015,0.30449033,0.31012997,0.30430004,0.29365966,0.28390837,0.27729377,0.27276886,0.2702353,0.2706345,0.27232718,0.27181217,0.26693413,0.26165882,0.26280951,0.274904,0.29588854,0.31889975,0.3360597,0.34193704,0.33562192,0.32187822,0.3085207,0.30152592,0.3001127,0.29951072,0.29604697,0.29175892,0.29149345,0.29994103,0.31742993,0.3412868,0.36532292,0.38487247,0.39587438,0.39923564,0.39863953,0.4046961,0.42553887,0.4604113,0.49168587,0.49913695,0.47457218,0.43015155,0.38572034,0.35542056,0.3430831,0.34759906,0.3668405,0.39738917,0.43280852,0.4647064,0.4835397,0.48051473,0.45038012,0.3959221,0.3295773,0.26838747,0.22634943,0.20892824,0.21458833,0.23862742,0.27478984,0.315117,0.35001966,0.37354782,0.38507923,0.38858667,0.38557386,0.37478265,0.3547739,0.3291088,0.30323735,0.2793108,0.25408652,0.22541875,0.19883591,0.18653877,0.19746627,0.22875474,0.26606324,0.2927934,0.30025116,0.2913406,0.27814952,0.27235004,0.27925304,0.29399633,0.30939507,0.32055816,0.32933462,0.33907667,0.35270002,0.36956587,0.38731468,0.4009825,0.40515378,0.3931303,0.3630118,0.32180366,0.29101273,0.29202825,0.3289154,0.3763305,0.40010527,0.38305306,0.33691466,0.28465727,0.2395509,0.2004227,0.16317165,0.13218056,0.118675984,0.12983118,0.15933676,0.1886973,0.19881164,0.1818913,0.14576422,0.10838392,0.08753473,0.09204847,0.118385844,0.1553167,0.19089055,0.21761213,0.2315094,0.23158257,0.22129555,0.2087936,0.20298596,0.20558232,0.21294428,0.21911629,0.22270966,0.22070946,0.20860334,0.18152507,0.1447012,0.11430308,0.10836518,0.13380767,0.17903243,0.2229126,0.24463771,0.23710923,0.20701747,0.1751849,0.16181372,0.17659895,0.20908691,0.24081163,0.2574887,0.26033,0.2604865,0.2714145,0.29981437,0.3418702,0.384275,0.40951467,0.40589082,0.37487885,0.33590066,0.31862387,0.3432121,0.40116155,0.45424464,0.4645715,0.4202657,0.34301078,0.26143146,0.19311112,0.14012988,0.10318298,0.08816873,0.100040495,0.13402794,0.17115746,0.19107412,0.18246287,0.15217248,0.11687707,0.094777904,0.09464586,0.11532567,0.14770699,0.18143,0.2078005,0.22152108,0.22160305,0.21256526,0.20274328,0.19821115,0.19901675,0.20216615,0.2067409,0.21472372,0.22372359,0.2252112,0.20900436,0.17514493,0.1370416,0.11510929,0.12341037,0.16083716,0.21290047,0.2583555,0.2805853,0.27356043,0.24921763,0.22771458,0.22620274,0.24224706,0.26178887,0.27044353,0.268147,0.26397225,0.26834753,0.28289974,0.30140665,0.31371856,0.31371963,0.29964545,0.27686015,0.25686395,0.25984254,0.29706004,0.35915402,0.41039062,0.42041615,0.3843917,0.33082783,0.2938874,0.29372045,0.32663682,0.37356567,0.41314206,0.42999366,0.41958177,0.3850905,0.33674335,0.28752646,0.24891268,0.22537951,0.21437597,0.21061599,0.21025635,0.21117969,0.21170217,0.2101149,0.20607297,0.20030029,0.1930917,0.182181,0.16401415,0.13726787,0.10619348,0.079545535,0.0659743,0.06859305,0.083742976,0.103062004,0.11896571,0.12740226,0.12906204,0.12647106,0.12220109,0.11726736,0.111957796,0.10666666,0.10263857,0.10130028,0.10301217,0.10636052,0.10934455,0.11061692,0.11026118,0.10846478,0.10577894,0.10277734,0.1010122,0.101161145,0.10276731,0.10363483,0.10191393,0.097021155,0.0904178,0.08405632,0.08072939,0.086161844,0.11303473,0.17442448,0.27013537,0.37397197,0.4468154,0.4619448,0.42505977,0.36282182,0.30320236,0.26132926,0.24339531,0.24817516,0.26738563,0.28732395,0.29745176,0.29666314,0.28975204,0.28102556,0.27019,0.2555376,0.23533551,0.20909154,0.17671071,0.14029588,0.104997,0.07822642,0.066477604,0.070883125,0.0857028,0.0999341,0.103902735,0.09419191,0.07557862,0.05670205,0.045234505,0.043734316,0.04964894,0.057263985,0.06194915,0.06285309,0.063081466,0.06617722,0.07319046,0.081819326,0.08941221,0.09630381,0.10887668,0.13642481,0.18446666,0.24671488,0.3073337,0.34989405,0.3668442,0.35911587,0.33148304,0.28985205,0.24248557,0.19921376,0.167628,0.15026788,0.14550534,0.14985408,0.15822212,0.1642083,0.16385813,0.16287078,0.17969345,0.23394036,0.3253893,0.422055,0.47791386,0.466024,0.39711332,0.3046547,0.21801142,0.1492442,0.09961764,0.06767728,0.050822522,0.043876395,0.042075753,0.04597188,0.0616468,0.09621737,0.14889838,0.20865001,0.25668898,0.27920565,0.27405939,0.25223732,0.22723053,0.20765162,0.19393514,0.18339993,0.17521103,0.17261516,0.18049182,0.19979416,0.22482097,0.2449596,0.25292504,0.24899822,0.24025412,0.23248012,0.2266882,0.21970282,0.2094176,0.19652067,0.18368234,0.17299163,0.16527916,0.16067094,0.15987986,0.16401578,0.17384161,0.18797392,0.20294718,0.21394908,0.21711767,0.21033745,0.19363354,0.16859452,0.1395845,0.11402821,0.10047183,0.102371655,0.114471816,0.1265642,0.13256997,0.1379777,0.15669219,0.2045862,0.28460345,0.3813404,0.4599763,0.48960698,0.46028006,0.3910716,0.30981895,0.23666282,0.17643107,0.12753394,0.08828027,0.05913688,0.0397975,0.02841965,0.022187917,0.019428246,0.019778952,0.02337046,0.029320551,0.035631698,0.039858326,0.040813982,0.040082637,0.042951196,0.05559942,0.081228815,0.11674738,0.15624042,0.19502671,0.23250766,0.26736292,0.29386476,0.30119422,0.28169397,0.23891747,0.19094193,0.1606517,0.16156307,0.18790211,0.21939306,0.23456328,0.22350943,0.19117568,0.1522812,0.122187026,0.10922951,0.11247439,0.124643706,0.13797057,0.14755543,0.15210186,0.15292104,0.15273798,0.1546831,0.15962708,0.16586415,0.16939826,0.16757262,0.16118647,0.15618104,0.16051948,0.18094878,0.21970446,0.2775816,0.35057774,0.42669502,0.48096976,0.49058506,0.4505508,0.3814019,0.3124311,0.26276624,0.23427148,0.21968251,0.21438633,0.2199623,0.23940964,0.2690127,0.2960402,0.30666032,0.2953029,0.26819265,0.23653388,0.2102115,0.19450684,0.19233888,0.20455034,0.2314816,0.26916763,0.30882573,0.3354664,0.33884487,0.31909147,0.29199716,0.27761617,0.29437056,0.34407243,0.4105262,0.4598993,0.46427217,0.41837206,0.3447379,0.275997,0.23626046,0.23297715,0.258049,0.29450762,0.3224324,0.32809007,0.30970773,0.28020057,0.25783727,0.25603345,0.272706,0.2964643,0.31348726,0.31857333,0.31319955,0.3055304,0.3027446,0.30901346,0.32056704,0.33093512,0.33218902,0.321756,0.30314025,0.2923707,0.3088541,0.36198726,0.43435135,0.49237457,0.50813574,0.47951135,0.4224814,0.3556664,0.28911635,0.23092747,0.19373251,0.19545294,0.24479263,0.32923976,0.41333833,0.46018514,0.45373046,0.4058356,0.3398864,0.2723532,0.20855385,0.15000927,0.10085391,0.0661573,0.04772834,0.042699933,0.045375705,0.050248902,0.053607985,0.054691147,0.056768183,0.068430096,0.101017,0.15960707,0.23399071,0.29840508,0.32783058,0.314165,0.27300557,0.22927113,0.2013145,0.19016488,0.18492503,0.17489041,0.16099602,0.15704401,0.1762143,0.21661884,0.25683105,0.27254146,0.25415945,0.21370064,0.17121913,0.14012216,0.120257966,0.10549075,0.09226639,0.08437874,0.08740001,0.10349631,0.12811184,0.15510271,0.17969322,0.20041747,0.21558698,0.22299577,0.21993013,0.20653002,0.18608896,0.16441762,0.14584918,0.13141708,0.11987549,0.11080212,0.10557538,0.104704194,0.10604162,0.10571123,0.10176263,0.095716216,0.09196764,0.09443688,0.10342535,0.11333116,0.11596907,0.10664428,0.08975058,0.07518861,0.071210355,0.07742049,0.087444335,0.09334728,0.09154236,0.082099296,0.06848151,0.05454379,0.04411587,0.039069843,0.03859056,0.039669294,0.038799983,0.03515322,0.030008636,0.026627714,0.027675256,0.035215322,0.04814921,0.062274884,0.07113863,0.07099364,0.06241484,0.050265893,0.039704353,0.03518049,0.038650174,0.049482893,0.063474275,0.074908696,0.07941712,0.0761847,0.06748935,0.056952845,0.048217867,0.04395942,0.04506087,0.049806576,0.05529948,0.062735826,0.081933625,0.13034087,0.21582745,0.3244585,0.4183359,0.46528462,0.45752135,0.4185066,0.37668702,0.35025445,0.33974826,0.33965018,0.34474823,0.35387006,0.36571804,0.37907246,0.39314196,0.41329122,0.44324028,0.47920957,0.502759,0.4974372,0.4610766,0.412101,0.37248948,0.3541114,0.35340175,0.35975215,0.36435604,0.36445203,0.3618196,0.36099514,0.36767685,0.38889384,0.42504835,0.4660282,0.49090862,0.4857615,0.45297742,0.41161427,0.37924027,0.3632374,0.35991916,0.3644795,0.37463638,0.39179978,0.4162507,0.44590345,0.4754468,0.5005571,0.51784366,0.52450156,0.51677334,0.494614,0.46484515,0.43944559,0.42764437,0.43054032,0.44192287,0.45397732,0.46180105,0.46484944,0.46454856,0.46332017,0.46452108,0.47341308,0.4910036,0.5083905,0.5070039,0.47367886,0.4128166,0.34613732,0.29693335,0.27721226,0.28522888,0.31095693,0.34176326,0.3652366,0.37407044,0.3703705,0.36856332,0.3848385,0.42237952,0.46134508,0.4728122,0.4416221,0.38004255,0.31614378,0.27351543,0.25742006,0.25871596,0.26288998,0.26189125,0.25428185,0.24577217,0.24315403,0.25727808,0.29481593,0.35204735,0.40577647,0.4282603,0.4057721,0.3518491,0.29381457,0.2537021,0.23632382,0.23511581,0.24204187,0.25316355,0.2663485,0.2807885,0.2994291,0.33135238,0.38113642,0.43942225,0.4832538,0.4969248,0.48373923,0.4608309,0.4405791,0.4219822,0.39911124,0.3692628,0.33904412,0.31441033,0.29962286,0.2936652,0.30275694,0.33431044,0.389626,0.44646826,0.4733238,0.45023787,0.38841572,0.31577334,0.255617,0.21275221,0.18089712,0.15393765,0.13173719,0.11894824,0.120531715,0.13852042,0.16859072,0.20197563,0.228644,0.24299477,0.24449234,0.23675412,0.22404023,0.20939785,0.1932021,0.17339087,0.14755154,0.11605343,0.08435563,0.06120251,0.053769063,0.06206799,0.07809313,0.09036693,0.091585696,0.08245501,0.06956207,0.059014704,0.0529148,0.04932968,0.04654293,0.044617087,0.046984162,0.056284416,0.072866954,0.09197887,0.10899261,0.12178582,0.13279836,0.14324854,0.1515298,0.15398352,0.15039688,0.14412673,0.13962537,0.13842964,0.14006895,0.14399415,0.15083559,0.159576,0.16579245,0.16330178,0.14910679,0.12583672,0.09968559,0.07753975,0.06663372,0.07355365,0.099734396,0.13583432,0.16533507,0.17495954,0.16459006,0.1444386,0.1260359,0.114185415,0.10790843,0.10418049,0.10138175,0.0992803,0.09838543,0.09885899,0.10025006,0.10165694,0.10238144,0.10213531,0.1011161,0.0998267,0.0989888,0.09896383,0.099511474,0.099966325,0.09974148,0.09854716,0.09638154,0.09387847,0.09210431,0.09193056,0.093100674,0.094563656,0.09519949,0.09415699,0.090685785,0.08449728,0.076176204,0.06754623,0.061487053,0.06337642,0.079021215,0.11130375,0.15438108,0.1980998,0.23393874,0.26155075,0.2818657,0.29213718,0.2840155,0.2536347,0.2074749,0.16271889,0.13487531,0.12845977,0.13328661,0.13708241,0.13475275,0.13239282,0.13592537,0.1453231,0.1543708,0.16059345,0.17072405,0.2000011,0.26043788,0.34773657,0.43552017,0.49016443,0.4919887,0.44918326,0.3853275,0.3224194,0.2680579,0.22363347,0.19081266,0.1775619,0.1889924,0.22248478,0.26160017,0.28613922,0.28079048,0.24689193,0.19933419,0.16088383,0.14869092,0.1681119,0.20983617,0.25885355,0.30052292,0.32651994,0.33134294,0.3147917,0.28161862,0.24339485,0.2119122,0.19519173,0.19526215,0.20927763,0.22869752,0.23971081,0.22914761,0.19506395,0.15157986,0.12334054,0.12899427,0.17029117,0.22967994,0.28312448,0.31091097,0.30839738,0.2855554,0.26343566,0.259751,0.27801982,0.30540344,0.32540795,0.33031556,0.3237375,0.31443286,0.3086778,0.30924127,0.31428108,0.32071283,0.32101205,0.30934873,0.28496495,0.2646586,0.27150673,0.31843865,0.38611385,0.43774864,0.44444177,0.4079868,0.34869552,0.28633216,0.22721492,0.1729639,0.12839805,0.1057843,0.11414596,0.15245438,0.20323749,0.24336125,0.25368473,0.23162858,0.18914412,0.14817569,0.12845023,0.13938273,0.17623703,0.2246685,0.26930398,0.2985508,0.30764124,0.2977548,0.27626166,0.25261167,0.2342631,0.22498028,0.2264507,0.23886116,0.25716808,0.2684811,0.25869802,0.2242822,0.18077268,0.1545021,0.16598444,0.21583658,0.2861352,0.35286713,0.398694,0.41945684,0.42338812,0.42396256,0.43020543,0.43847084,0.4378239,0.42041168,0.39163068,0.36427107,0.34976932,0.34921166,0.35703442,0.36445665,0.3653346,0.35309497,0.32576856,0.28893277,0.26442373,0.27483228,0.3265396,0.3934817,0.43793595,0.43523145,0.3903211,0.32372174,0.25462556,0.19330944,0.14661734,0.122400455,0.12808025,0.16273588,0.21435744,0.2610466,0.28391406,0.2742667,0.2388758,0.19306672,0.15559924,0.14060955,0.15319419,0.18715622,0.22868705,0.26370814,0.2830278,0.2843655,0.27159223,0.25221336,0.23451085,0.2227422,0.21907258,0.22360934,0.23616242,0.2497188,0.25219473,0.23315209,0.19725384,0.16486968,0.1615578,0.19934218,0.26908794,0.3432567,0.39124992,0.39438102,0.3570844,0.30582932,0.27159515,0.2711906,0.2949762,0.32168615,0.3331125,0.32892677,0.31829688,0.31430522,0.32160485,0.33813682,0.35405993,0.36278605,0.35938445,0.3462181,0.32797527,0.32095775,0.33978233,0.38690522,0.43745768,0.46012464,0.44139266,0.39618433,0.34815553,0.30643,0.2657935,0.22124742,0.18197887,0.16512932,0.18022418,0.2188031,0.2567568,0.27105942,0.251412,0.20696159,0.15835705,0.12835537,0.12914436,0.15812205,0.20113276,0.24323559,0.27476743,0.29203877,0.29344192,0.2815242,0.26225466,0.24450286,0.23262008,0.22802931,0.23013692,0.2402768,0.25727686,0.27607182,0.2902305,0.2977382,0.3039572,0.3156718,0.3357289,0.35881785,0.37686232,0.38228527,0.37321234,0.35196194,0.32766405,0.31044665,0.3089489,0.32205537,0.34368107,0.36387333,0.3763655,0.3772131,0.36987257,0.36102605,0.35783005,0.35876846,0.35648903,0.3411025,0.31164894,0.27827224,0.26544592,0.29200563,0.3567481,0.42477584,0.4580815,0.43860424,0.3862282,0.32945535,0.2868174,0.25553733,0.23012935,0.21133019,0.20768327,0.22261818,0.24884653,0.2705246,0.27631056,0.26668772,0.25275457,0.24547338,0.24765432,0.2545584,0.2602192,0.26457646,0.27233946,0.28784928,0.308125,0.32398596,0.3263596,0.31288186,0.28860167,0.26169202,0.24069627,0.23119102,0.23415893,0.24204035,0.24217916,0.22391857,0.1883949,0.1499341,0.12767674,0.13368912,0.16548742,0.21127915,0.2572328,0.29571652,0.32372043,0.34463224,0.3621317,0.3799998,0.3953861,0.4060878,0.4116943,0.4179841,0.4272344,0.43647742,0.43725812,0.42476276,0.39959708,0.3670714,0.33098522,0.295941,0.26986828,0.26920047,0.30441713,0.36887208,0.4304377,0.45719263,0.43694207,0.38776526,0.3350989,0.29499018,0.26794705,0.2506255,0.2438445,0.25067374,0.2707094,0.29509315,0.31213143,0.31069872,0.28784177,0.24945986,0.21465628,0.2065363,0.23934484,0.30303326,0.3705243,0.41506067,0.42863894,0.4180728,0.39588273,0.3691115,0.3413849,0.31332183,0.28818023,0.26995143,0.2631937,0.26620078,0.27295724,0.27536836,0.27078202,0.26157913,0.25511944,0.25819632,0.27446634,0.30054617,0.32954535,0.35292605,0.3656856,0.3654116,0.35716578,0.34801212,0.3451546,0.34601155,0.34601602,0.34157935,0.33809635,0.34155488,0.35563222,0.37619022,0.39574644,0.40586415,0.40327004,0.3876784,0.36382225,0.33895695,0.32961747,0.34860805,0.39648008,0.44822893,0.47507724,0.4604962,0.41321817,0.3499426,0.28420022,0.22187126,0.1689955,0.13572113,0.13241415,0.1623326,0.21427836,0.26578274,0.29202172,0.28061453,0.2370581,0.18369944,0.14562285,0.13908021,0.16229749,0.20282541,0.24503596,0.27925172,0.29865614,0.30073014,0.28713104,0.26577792,0.24658592,0.23534347,0.23465566,0.2444299,0.26427063,0.28619632,0.2960478,0.28103742,0.24416769,0.20815687,0.20133112,0.23780417,0.3042005,0.37001845,0.40522,0.39878067,0.36071038,0.31702852,0.29272965,0.29848355,0.3227907,0.34482026,0.35009596,0.34217736,0.33463836,0.3392941,0.35631678,0.37698066,0.39117527,0.39445257,0.38773465,0.37502494,0.3623375,0.3606346,0.37912083,0.41606817,0.4518666,0.46334544,0.44061324,0.39406765,0.34200287,0.29688072,0.26292554,0.2417693,0.23722391,0.25240052,0.28392947,0.31943032,0.3412005,0.33638933,0.30428728,0.25741586,0.21408421,0.18875569,0.18654351,0.20253031,0.22921018,0.25925958,0.28829762,0.30892003,0.31508806,0.30405474,0.28236914,0.2592919,0.24343777,0.23904507,0.24710841,0.26258028,0.27290162,0.26351556,0.22938709,0.18350685,0.1512038,0.1547773,0.19840229,0.26666737,0.33505026,0.38373134,0.40504298,0.40162864,0.38309547,0.35972393,0.34057808,0.32921067,0.32654774,0.33094546,0.3409058,0.35328174,0.36540306,0.37578282,0.38469815,0.3912526,0.39157447,0.38116935,0.36149684,0.3451104,0.35146105,0.38928083,0.444029,0.4808366,0.4734653,0.42168963,0.35020527,0.28223798,0.22652721,0.1804073,0.14393583,0.12563129,0.13402241,0.16892524,0.21560611,0.2550826,0.2730254,0.26871935,0.24976987,0.22767882,0.2114786,0.2074995,0.21746212,0.23934634,0.26620337,0.28885072,0.29751763,0.28954455,0.270322,0.2520219,0.2430554,0.24530317,0.25392625,0.26329896,0.2670808,0.2599915,0.23967285,0.21201785,0.1897033,0.18513191,0.20119141,0.23055376,0.2624222,0.2889013,0.3059738,0.3109545,0.3049831,0.29429367,0.28843305,0.29114208,0.29794255,0.2998949,0.29342946,0.28258714,0.27659824,0.28111342,0.29519117,0.31039977,0.31852213,0.31346765,0.29550952,0.269904,0.25221238,0.26091394,0.30400884,0.3634777,0.40407315,0.39954886,0.35305706,0.2910265,0.2397394,0.20905183,0.19502245,0.19078885,0.19599761,0.21298796,0.24162638,0.2718924,0.29090667,0.28940943,0.2697434,0.24058361,0.2126347,0.19324768,0.18740039,0.19718932,0.22323973,0.26154482,0.30242983,0.32881692,0.32587287,0.28856298,0.22871888,0.1680624,0.13186574,0.13827316,0.19192469,0.27712995,0.36238328,0.41394797,0.4147155,0.37261403,0.3151243,0.27093592,0.2556294,0.26556623,0.2874168,0.30473635,0.30819246,0.29541567,0.27801988,0.27041182,0.28333506,0.3089144,0.33371755,0.34506544,0.34497476,0.33887684,0.3352578,0.33415547,0.33311364,0.32352987,0.30284342,0.27053654,0.23532142,0.20791614,0.2091522,0.2512923,0.33020267,0.41144755,0.4596866,0.4567562,0.41519418,0.35470903,0.29034525,0.22831373,0.17832391,0.15658195,0.18018387,0.25002578,0.34334317,0.42023376,0.45163283,0.43415523,0.38874868,0.3373215,0.29197803,0.25429708,0.22753419,0.22042884,0.24546643,0.30243674,0.37242892,0.41939804,0.41882142,0.36979806,0.3020696,0.25235924,0.25270703,0.3070657,0.3927045,0.46394157,0.48763064,0.45680633,0.39380267,0.32171127,0.2542637,0.1957177,0.15460123,0.14704168,0.18653361,0.26925626,0.36519417,0.43321142,0.44485793,0.40313873,0.33471513,0.2695965,0.222651,0.19468218,0.18405081,0.19893728,0.24720101,0.32289815,0.39544764,0.43282917,0.4189395,0.36803558,0.3084779,0.27468935,0.2863716,0.3418609,0.4092125,0.45084688,0.4433932,0.39392772,0.32336998,0.2535816,0.19832408,0.16507302,0.15425368,0.15745944,0.16303466,0.16256385,0.15678059,0.15053539,0.14819507,0.1498289,0.15388851,0.15838066,0.16101511,0.15820082,0.1464069,0.12524015,0.09889779,0.07443463,0.057209894,0.04808377,0.04374903,0.040324684,0.03707091,0.03822022,0.051736936,0.08291816,0.12823056,0.17278004,0.19911139,0.19733827,0.17163593,0.1357198,0.10548753,0.09275886,0.10011534,0.1207956,0.14120662,0.15355997,0.16052264,0.17409511,0.20108153,0.23735096,0.26971745,0.287352,0.28742397,0.2740667,0.2531997,0.229531,0.20716096,0.19005996,0.18124367,0.1802451,0.18291463,0.18321544,0.17712134,0.16468132,0.14975858,0.13657947,0.12736098,0.122326426,0.123693354,0.13520749,0.15895428,0.18809538,0.21031894,0.21465439,0.20061046,0.17504537,0.14584433,0.11706978,0.09088675,0.07048772,0.05818894,0.053262252,0.051158335,0.048223794,0.044521447,0.044975594,0.055809397,0.079640396,0.11176022,0.1410706,0.15732174,0.1570218,0.14468096,0.12727492,0.10979572,0.094055474,0.08026176,0.06821166,0.05759069,0.048610527,0.04286648,0.042718247,0.049326923,0.06025964,0.07016882,0.07367285,0.06888286,0.05802271,0.04547538,0.035062913,0.028988747,0.028563872,0.034781415,0.047430765,0.06345015,0.07729676,0.08379737,0.08115492,0.07134839,0.05794243,0.044072565,0.03192405,0.023554206,0.021339407,0.027384616,0.041782264,0.061418373,0.08071143,0.09483707,0.10233558,0.10536182,0.10715764,0.109757416,0.11321252,0.11629396,0.1176402,0.11643618,0.11256405,0.10610188,0.0968965,0.084761776,0.07005379,0.054127008,0.038903814,0.02615277,0.016787514,0.010774292,0.0073850024,0.0056541585,0.0047606514,0.0042073843,0.0038008222,0.0034900422,0.0032668503,0.0031417587,0.0050914544,0.01656802,0.0524006,0.12618507,0.23388386,0.3450463,0.41814342,0.4304982,0.39387885,0.34064022,0.29764196,0.2725841,0.2607356,0.2547208,0.25060824,0.24620794,0.24088578,0.23457485,0.2279263,0.22194989,0.21742994,0.21479242,0.21370251,0.21352048,0.21357648,0.2132219,0.21184164,0.20892064,0.20441161,0.1989154,0.1930917,0.1874281,0.18158144,0.17513843,0.16762646,0.15930857,0.1508001,0.14287455,0.13586372,0.12944362,0.123042904,0.11615912,0.10881349,0.10129976,0.094035596,0.087269284,0.0809411,0.07477293,0.06839306,0.061727557,0.05497327,0.048458487,0.042280536,0.036251,0.030148135,0.024017936,0.01841854,0.0142370835,0.01238695]