[4.8922288E-05,4.152471E-05,2.7525197E-05,1.446395E-05,6.46662E-06,3.332363E-06,2.4103435E-06,2.0454997E-06,1.7740043E-06,1.806778E-06,2.1677517E-06,2.6839143E-06,3.0884696E-06,3.6468634E-06,8.149041E-06,2.8548035E-05,8.815763E-05,0.00033368912,0.0014024447,0.004780403,0.012540888,0.025750153,0.042894546,0.059651062,0.07142472,0.07590716,0.074235976,0.06923636,0.063609995,0.058725376,0.05511875,0.052863274,0.052024547,0.052290123,0.053067464,0.053420138,0.052754,0.050922465,0.04840395,0.04584414,0.04402415,0.043673564,0.045376223,0.048978537,0.053354293,0.056660175,0.05753818,0.055774048,0.05240926,0.04865673,0.04540312,0.042812366,0.04087201,0.039437998,0.038498294,0.037881818,0.03739627,0.036780387,0.03601046,0.03519485,0.03460132,0.034438144,0.035050593,0.03685357,0.040144354,0.044491544,0.048630808,0.051033575,0.05089128,0.048481274,0.044784326,0.040794767,0.03747606,0.035998527,0.03801397,0.044543684,0.054858595,0.06566003,0.07299805,0.07437883,0.070405744,0.06350266,0.05623351,0.05033624,0.04724112,0.048913,0.056709845,0.07011447,0.085403025,0.09803403,0.104788445,0.105866104,0.10328305,0.09940318,0.09557956,0.09288532,0.09288914,0.09761629,0.1081213,0.12275332,0.13729942,0.14700688,0.14930375,0.14463693,0.13560633,0.12530334,0.116473444,0.11106152,0.10976302,0.11145412,0.11343666,0.1128887,0.10847417,0.10095021,0.092214525,0.08399406,0.07706743,0.07139046,0.06659202,0.06235209,0.058541656,0.055177655,0.05235213,0.050190058,0.048818905,0.048338097,0.048767712,0.05004679,0.052140314,0.055097584,0.058795232,0.06253793,0.06497506,0.06490293,0.062121857,0.057696726,0.05308741,0.049275354,0.046458755,0.044474017,0.043231133,0.042755473,0.04302856,0.043826565,0.0449232,0.0461942,0.04765981,0.049168855,0.05037169,0.05095804,0.051098067,0.051468536,0.05260094,0.054305226,0.055555504,0.055413272,0.05366391,0.050991625,0.048254594,0.0460477,0.044826742,0.045366492,0.048783515,0.05545484,0.064094566,0.0717456,0.07562319,0.07465246,0.069957845,0.06353797,0.057330277,0.0528992,0.052007016,0.0561325,0.06547115,0.077852555,0.08962909,0.09747231,0.10013986,0.09840385,0.094084226,0.08894085,0.08444085,0.08186678,0.08229882,0.086010516,0.091854535,0.09749513,0.100587845,0.10012987,0.09670904,0.09182795,0.08684801,0.08264676,0.079849474,0.079215445,0.08122131,0.08521222,0.089071006,0.09043729,0.08831993,0.083643086,0.07818017,0.07327772,0.06950161,0.06694671,0.06552968,0.06497417,0.06490993,0.0650239,0.065121025,0.065008454,0.064481206,0.06342405,0.061976746,0.06059579,0.060048137,0.061136346,0.064137675,0.06834669,0.072269596,0.074588984,0.07491623,0.07382968,0.07212096,0.070281714,0.06836995,0.06625091,0.063806206,0.06110766,0.058524925,0.056573838,0.05565392,0.05574256,0.05650981,0.057484936,0.058508992,0.059862006,0.06251755,0.06765526,0.075817235,0.085909694,0.09541043,0.10188556,0.10446114,0.103918135,0.1014514,0.0977562,0.09339642,0.08956206,0.08803135,0.08977181,0.09392523,0.09829921,0.10136079,0.10348078,0.105964094,0.109048426,0.11117353,0.11084438,0.108603746,0.10692966,0.10786574,0.111150645,0.11495215,0.11794392,0.120634325,0.124331534,0.12955196,0.13551389,0.1413477,0.14743578,0.15488671,0.16390125,0.17241703,0.17751448,0.1773413,0.17250763,0.16489357,0.1563486,0.14796062,0.14056168,0.13516659,0.13231455,0.13140106,0.13031991,0.12713449,0.12121952,0.1138416,0.10658961,0.10042588,0.095207214,0.09051311,0.0860414,0.08190536,0.078354724,0.07565495,0.07382407,0.0727199,0.0721442,0.072004296,0.07218871,0.072541416,0.07297618,0.07378634,0.075398766,0.077956,0.080807716,0.08294464,0.08350432,0.08232262,0.079722054,0.07630295,0.07268248,0.06941565,0.06692409,0.06543339,0.065056704,0.06573238,0.06720289,0.068980075,0.070586435,0.07177626,0.07256687,0.07312413,0.073644996,0.0744301,0.075722106,0.07753674,0.07940168,0.08065074,0.08074959,0.07966077,0.07767466,0.07515743,0.07230408,0.0691722,0.06584501,0.062486652,0.059286118,0.056266144,0.053307056,0.05024859,0.047207594,0.0448108,0.044456173,0.04901771,0.06289951,0.091382526,0.13554563,0.18846482,0.23356557,0.25447974,0.24570894,0.22004627,0.2000851,0.20290186,0.22846687,0.2617735,0.28718695,0.29686165,0.2918098,0.27378255,0.2471227,0.22195245,0.21442437,0.23469579,0.2764138,0.3192073,0.34211567,0.33584872,0.3038631,0.25671968,0.20612411,0.16142088,0.12790573,0.106045075,0.09305205,0.085258685,0.07993204,0.07551835,0.07107392,0.06612377,0.060507357,0.054524377,0.048603635,0.043262735,0.03890982,0.03581233,0.03408468,0.03391157,0.035956863,0.041069645,0.049414262,0.059380386,0.06810212,0.0730365,0.07356771,0.07089359,0.06674334,0.062532656,0.060209837,0.06377906,0.07934448,0.11086193,0.15596372,0.20426361,0.24349548,0.26485935,0.26637575,0.2506006,0.22420049,0.19771498,0.18354326,0.18951434,0.2136252,0.24443214,0.2693119,0.281389,0.28264073,0.27837798,0.27226847,0.2635188,0.25005892,0.23302282,0.21753518,0.20896615,0.20611002,0.20169564,0.189209,0.17219861,0.162082,0.1677229,0.18496458,0.20001878,0.20046587,0.18501337,0.16115738,0.13790159,0.120098434,0.11002048,0.11063322,0.12440852,0.14965473,0.17793404,0.19977657,0.20935036,0.20677055,0.19362779,0.17240417,0.1478516,0.12883663,0.12436082,0.13750432,0.16265006,0.18880983,0.20659049,0.21234159,0.20792128,0.196594,0.18076015,0.1617253,0.14135228,0.12210384,0.1062021,0.09438165,0.08603025,0.07986793,0.074964084,0.07081545,0.06733202,0.06436815,0.061739266,0.059077773,0.056064203,0.052528292,0.048602004,0.044817377,0.042145204,0.042076588,0.04578508,0.053198844,0.062143136,0.06955575,0.07312468,0.072715,0.06964317,0.06548882,0.06108382,0.05675334,0.052733194,0.04945795,0.04724376,0.046008278,0.045211244,0.044247985,0.04280174,0.04091185,0.038776573,0.036703732,0.03526708,0.035444614,0.037968818,0.042626698,0.047807813,0.05162702,0.052957933,0.052065596,0.0498068,0.04697992,0.04401912,0.04123084,0.038871776,0.03713229,0.036040913,0.035633925,0.03617683,0.03855328,0.04404914,0.05366242,0.06774797,0.08648992,0.11145123,0.14419036,0.18411161,0.22428016,0.25465038,0.26677346,0.26261583,0.2523202,0.24825625,0.2536297,0.26264742,0.26659214,0.26250938,0.25238976,0.23802607,0.21882586,0.19717753,0.18122464,0.18118314,0.19931285,0.22893989,0.25923413,0.2837944,0.30046967,0.3092054,0.30964938,0.30330035,0.2940518,0.28688136,0.28439248,0.28577435,0.28790948,0.28810152,0.2854052,0.2802373,0.27362934,0.2667787,0.26191425,0.2610903,0.26549414,0.27324423,0.28119123,0.28593865,0.28668365,0.28430054,0.2808738,0.27779368,0.27542564,0.27265334,0.26768842,0.2596221,0.24976324,0.24068904,0.23346539,0.2262432,0.21633448,0.20409049,0.19334988,0.18824117,0.18842916,0.18941201,0.18547998,0.17416765,0.15624939,0.13509074,0.11507607,0.101706855,0.10004427,0.11152673,0.13170053,0.15080178,0.15963762,0.1540093,0.13678116,0.11396118,0.09144514,0.072622664,0.058930963,0.050246503,0.04552022,0.043156326,0.041682217,0.040136028,0.03818618,0.0359441,0.033659752,0.031711526,0.030660145,0.031578396,0.035425946,0.042323742,0.05068912,0.058083564,0.06250665,0.063606076,0.062302146,0.059883464,0.05751054,0.056683894,0.059930995,0.070050605,0.08776886,0.10912934,0.12652439,0.1335298,0.1309485,0.12628384,0.12756641,0.13526683,0.143139,0.14460827,0.13975327,0.13340043,0.12955107,0.12846051,0.12987058,0.1369143,0.15376602,0.18048485,0.2099648,0.23318559,0.24486093,0.24607195,0.23980433,0.22768743,0.20911674,0.18422347,0.155082,0.12548055,0.099093325,0.07856381,0.064953856,0.058008637,0.056351718,0.058095593,0.06109633,0.06367254,0.0648813,0.06483204,0.064029716,0.0629177,0.06149264,0.059614718,0.057238396,0.054547712,0.05185066,0.049483936,0.047722343,0.046658557,0.046090167,0.045545623,0.04450956,0.042826805,0.040984035,0.04014868,0.041480284,0.04530399,0.050468624,0.055002376,0.05721311,0.056721356,0.054316532,0.051298916,0.04870711,0.04701692,0.046188366,0.04589978,0.04578325,0.045492932,0.04476243,0.04346167,0.04170501,0.03979378,0.038046703,0.036771577,0.036347862,0.037371118,0.040185288,0.04446895,0.048952743,0.052267596,0.053628687,0.053308968,0.0530241,0.056917373,0.07264226,0.10791289,0.16487534,0.23440205,0.30056605,0.34924725,0.3765633,0.38633618,0.38303864,0.36710277,0.3386104,0.30470088,0.27966446,0.276156,0.29385063,0.31942138,0.3373673,0.34103325,0.33423463,0.3238295,0.3145794,0.30725542,0.301973,0.29880175,0.29950938,0.30513144,0.31503332,0.32428953,0.3274164,0.32231626,0.31390032,0.30919233,0.31136778,0.31652954,0.3183482,0.31219712,0.2967584,0.27250263,0.24382283,0.22048599,0.21480137,0.2320566,0.26530096,0.29877147,0.32000133,0.32478234,0.31585634,0.2951109,0.26404214,0.22578686,0.18764763,0.15702589,0.13746196,0.12767954,0.12400498,0.12319216,0.12335301,0.123714365,0.12388164,0.12334257,0.12158444,0.118365616,0.11405653,0.10934623,0.10494351,0.10118672,0.09816629,0.095767014,0.09398269,0.092796564,0.092237554,0.0920653,0.09203902,0.09198777,0.0922649,0.0935821,0.09773656,0.10783837,0.12862207,0.16284712,0.20818882,0.25501668,0.2922759,0.31328276,0.32031298,0.31997573,0.31842065,0.3170543,0.31505334,0.31155285,0.3075974,0.30359945,0.29854894,0.29042315,0.2804173,0.27305257,0.27352127,0.28169116,0.2920297,0.29774168,0.2965903,0.29153636,0.2867066,0.28342447,0.2792699,0.2706897,0.25539246,0.23313408,0.20547767,0.17592998,0.15112866,0.13998415,0.14928736,0.17726332,0.21156602,0.23555617,0.23919438,0.22423978,0.20010458,0.17462678,0.15062611,0.1281407,0.10872046,0.0949122,0.08789686,0.085823745,0.08546298,0.08421623,0.08125159,0.07684386,0.07175914,0.066586986,0.061813336,0.057581663,0.0540293,0.051216688,0.04931864,0.04829673,0.047893535,0.0476616,0.047244783,0.04650453,0.04562108,0.04508339,0.04571612,0.048061416,0.05194831,0.05605288,0.05888452,0.059424464,0.057797503,0.0545883,0.050526988,0.046086878,0.041692134,0.037740048,0.03464891,0.032741543,0.032039855,0.03219946,0.03261535,0.03280233,0.03261729,0.032291252,0.03246275,0.03422536,0.039153736,0.048130766,0.06044045,0.07405967,0.08886085,0.10891247,0.14025663,0.18483944,0.23607261,0.28248656,0.31456128,0.32981756,0.3305883,0.32094875,0.30457845,0.28533024,0.2655893,0.2455144,0.223351,0.2003578,0.18258262,0.17934851,0.19502728,0.22533439,0.25841355,0.28419638,0.299074,0.30628613,0.30963257,0.31165782,0.3140278,0.31979623,0.33048335,0.34239495,0.34539703,0.32944658,0.29271677,0.24616267,0.2084434,0.19519383,0.20984642,0.24205618,0.27616355,0.30037412,0.31263635,0.31721696,0.31986114,0.32225034,0.3208654,0.30813172,0.2783265,0.23269625,0.1809022,0.13495046,0.10270214,0.08447548,0.076044984,0.07231376,0.07017457,0.06830443,0.0667441,0.06615177,0.067958854,0.07393026,0.086199306,0.10676777,0.13749866,0.17744021,0.22148569,0.26034775,0.28674498,0.29913297,0.30224708,0.30139375,0.29920927,0.29535237,0.28902957,0.28049418,0.27118418,0.2634904,0.25996652,0.26274386,0.27194965,0.28503048,0.29690638,0.3029807,0.3021849,0.2979274,0.29515317,0.2962844,0.29925895,0.29862365,0.28824395,0.26461262,0.22890843,0.18797629,0.15188701,0.13112812,0.13238662,0.15567692,0.19283216,0.23052919,0.25746247,0.26966915,0.27102497,0.26780698,0.2648612,0.263907,0.26511383,0.2682692,0.27394763,0.28315437,0.29588678,0.3094444,0.31877315,0.31839073,0.30500504,0.27813277,0.2408462,0.19927919,0.16288291,0.14167303,0.14244278,0.16461645,0.19965589,0.23515362,0.25991753,0.26786602,0.2575018,0.23112033,0.19385505,0.15339291,0.11790043,0.09274759,0.078650676,0.072306804,0.069485374,0.067195706,0.064505905,0.061508432,0.058593024,0.055929855,0.05365034,0.051765025,0.050174426,0.048585787,0.046718445,0.044454932,0.041955546,0.039496046,0.037344318,0.035758194,0.035261262,0.036851797,0.041468244,0.049069453,0.05781786,0.06497565,0.068364024,0.06779054,0.064574964,0.06050447,0.056631967,0.05318841,0.04994437,0.04676413,0.043785136,0.04120231,0.03905343,0.037165124,0.035402004,0.03376745,0.032377318,0.031299043,0.030529195,0.030019924,0.029747553,0.02969951,0.02985424,0.030148877,0.030498013,0.030851314,0.031233607,0.03173368,0.032443,0.033427265,0.034710206,0.03628446,0.038058877,0.039962456,0.042289745,0.046341404,0.054648638,0.06990853,0.09365722,0.1259258,0.16727668,0.21906412,0.2810625,0.34770188,0.4093496,0.45824933,0.49264693,0.5155692,0.5292425,0.5340312,0.52990437,0.5196923,0.50795925,0.49924764,0.49589613,0.49758494,0.5015318,0.5039237,0.502497,0.49797678,0.49379423,0.49319172,0.49747315,0.50492173,0.512474,0.5169782,0.5170214,0.51274747,0.50546944,0.4967775,0.48835576,0.481801,0.47777268,0.47558823,0.47337624,0.4697834,0.46482277,0.45989168,0.45624802,0.45410702,0.4526366,0.4512875,0.45086083,0.45313314,0.4591186,0.46727216,0.47402862,0.47588798,0.47195706,0.46435687,0.45679876,0.4519652,0.44876575,0.44119385,0.42087105,0.38287392,0.33142257,0.27807128,0.23529674,0.20851713,0.19625479,0.19328235,0.19533676,0.19949247,0.20426507,0.20975435,0.21838935,0.23350413,0.25638613,0.2836565,0.30854294,0.32396606,0.32592842,0.31372106,0.29004517,0.26112455,0.236758,0.227512,0.23854701,0.26636854,0.29947898,0.32676327,0.34225896,0.34751093,0.34627494,0.34213433,0.33740422,0.3351793,0.33905724,0.35074082,0.36795413,0.3846415,0.39474657,0.39524546,0.38731802,0.37398842,0.35808417,0.34117568,0.3244824,0.30921268,0.29629704,0.28530505,0.27495614,0.26422095,0.25393263,0.24577878,0.24089742,0.23855378,0.23738913,0.2368754,0.23772633,0.24053861,0.24441569,0.2472161,0.24710213,0.24395786,0.239143,0.2343026,0.23027454,0.2274157,0.22606122,0.2267279,0.2292177,0.2323925,0.23438351,0.23372917,0.22963004,0.22231859,0.21268292,0.20301048,0.19738884,0.20159657,0.22051795,0.25273857,0.2896267,0.31825817,0.33320275,0.3380176,0.3422896,0.34787738,0.34812513,0.33429208,0.30731028,0.27899373,0.2620267,0.26132083,0.27256954,0.290544,0.31252834,0.33690837,0.359278,0.3743281,0.3795974,0.37568092,0.36354148,0.3424321,0.31349555,0.28140646,0.25531328,0.24349286,0.25001654,0.27104333,0.2969902,0.31733656,0.32635713,0.32544747,0.3202457,0.3170366,0.3188642,0.32579544,0.33510867,0.34404027,0.3501213,0.3527588,0.35337022,0.35543096,0.36177418,0.37095442,0.37767982,0.37744096,0.37159908,0.36546084,0.36214352,0.35892773,0.3503327,0.3339337,0.31221512,0.29032958,0.27220884,0.25948513,0.25164515,0.24747305,0.24553557,0.2448347,0.24487211,0.24556041,0.24712484,0.2493732,0.25158176,0.2520912,0.24974816,0.24441512,0.23770045,0.23123921,0.2262506,0.22258656,0.22001934,0.21793686,0.21617939,0.21419813,0.2119245,0.20921274,0.20655107,0.20416027,0.2023607,0.20083837,0.1994278,0.19795944,0.1969751,0.19703437,0.1984148,0.20047204,0.20205049,0.20226057,0.20098118,0.19887668,0.19651055,0.19423264,0.19202311,0.19024272,0.1891697,0.18894379,0.18885587,0.18813163,0.18622242,0.18340296,0.18015958,0.17692006,0.17418033,0.17287235,0.17441325,0.17914349,0.18571897,0.190975,0.19266291,0.19039786,0.18618035,0.18181442,0.178156,0.17468178,0.17103392,0.16738205,0.1643152,0.16203642,0.16014785,0.15823512,0.15678184,0.15758513,0.16251509,0.17259996,0.18800776,0.21082468,0.24436705,0.2906401,0.3451158,0.39871153,0.44243392,0.47346166,0.49406758,0.50857073,0.51920265,0.52629143,0.52868885,0.5260458,0.51903933,0.5101225,0.5019828,0.49649167,0.49343738,0.4913964,0.4886802,0.48458362,0.47897825,0.47264183,0.4667293,0.46287706,0.46197143,0.4638783,0.46740636,0.47146353,0.47530612,0.47888044,0.4820504,0.4851267,0.48849595,0.49296513,0.49896708,0.5063943,0.51439595,0.5212396,0.52435553,0.5218118,0.5135052,0.50272506,0.49240902,0.48439583,0.47675434,0.46807253,0.45608732,0.43925464,0.41486025,0.38258433,0.34506705,0.30770126,0.27579823,0.2537009,0.2446819,0.24966891,0.26524845,0.28412822,0.2992489,0.3081344,0.31230235,0.31411496,0.3139441,0.3119038,0.3092676,0.30907562,0.31374052,0.32358935,0.33604798,0.3469688,0.35240793,0.34973767,0.33783343,0.31755853,0.29367402,0.27541235,0.27253315,0.2887231,0.31819132,0.34950078,0.3729913,0.38476744,0.38681212,0.38362718,0.38052532,0.38032612,0.38304302,0.38605943,0.38737905,0.3859805,0.3816637,0.37346682,0.36086845,0.3445584,0.32707357,0.31089267,0.2970557,0.2846717,0.2727112,0.26107365,0.25116417,0.24474917,0.24376453,0.24877407,0.2581425,0.267506,0.27326277,0.27608177,0.28164187,0.2948209,0.31452227,0.3326702,0.3416159,0.33930197,0.33227494,0.32910398,0.3361621,0.35148633,0.36799943,0.37725475,0.37637103,0.36863446,0.35933852,0.3508918,0.33999822,0.32235655,0.29637024,0.2669674,0.24238099,0.23084019,0.23610182,0.25596562,0.2828846,0.30754134,0.324152,0.3324897,0.33642182,0.3393011,0.3420801,0.34379408,0.34397742,0.34379014,0.34428504,0.34388435,0.33754143,0.32168147,0.29920408,0.28040186,0.27498126,0.28497958,0.3028188,0.31920606,0.32878527,0.3321763,0.33062172,0.32436636,0.31297958,0.29956973,0.28936788,0.28711614,0.29178622,0.29891053,0.3033663,0.30458054,0.30430648,0.3043969,0.3037195,0.30024302,0.29361597,0.2867007,0.283664,0.28701493,0.29671183,0.31149086,0.3305721,0.35299957,0.37624875,0.3959166,0.40774646,0.40978718,0.40313327,0.39068964,0.3754672,0.3592675,0.3427517,0.32611147,0.31015944,0.29614547,0.28511295,0.27676806,0.26998332,0.26352262,0.2571596,0.25137484,0.24720454,0.24576396,0.24771106,0.25241938,0.25738397,0.25952244,0.25680003,0.2496332,0.2403122,0.2315187,0.2251269,0.221391,0.21966167,0.21898775,0.21896143,0.21943623,0.21990329,0.219684,0.21822129,0.21586537,0.21313773,0.2105212,0.20818359,0.20663308,0.2064532,0.20772713,0.2093337,0.20972995,0.20792711,0.20419425,0.19948994,0.19535767,0.19493121,0.20348226,0.22660257,0.26438126,0.30792865,0.34145892,0.353629,0.34599018,0.33314008,0.32934415,0.33738387,0.34663126,0.3443165,0.32628274,0.29931375,0.27466425,0.25997856,0.25823918,0.26920354,0.2923589,0.32348582,0.3550193,0.3773649,0.38615045,0.3823245,0.37013057,0.35166633,0.32915404,0.30774632,0.29714563,0.3044491,0.32889318,0.36074722,0.38957158,0.409341,0.42034844,0.42503384,0.42615962,0.42570433,0.42450127,0.4213589,0.41323933,0.3979093,0.37642696,0.35427248,0.33938503,0.33853877,0.3524128,0.37377068,0.38968363,0.39095414,0.37771723,0.3610178,0.35176936,0.35455552,0.3634491,0.370579,0.36956546,0.35975888,0.3426719,0.3237302,0.31000802,0.30984667,0.32554403,0.35183296,0.37706438,0.39240515,0.39596176,0.3917619,0.3840454,0.37426457,0.3628726,0.34964335,0.33437875,0.31522003,0.292402,0.2693707,0.2539592,0.25285158,0.26798272,0.29382458,0.32115793,0.3419673,0.35316476,0.3567308,0.3560704,0.35367987,0.34828842,0.3369415,0.31694746,0.28992143,0.26117846,0.23803918,0.22665834,0.23167051,0.2539184,0.28896376,0.3258715,0.35370597,0.36790633,0.37266085,0.37388602,0.3722155,0.36316368,0.34416988,0.32049203,0.30271032,0.29870382,0.30791223,0.32254192,0.33435735,0.33951446,0.33992907,0.34037855,0.34589493,0.35884345,0.37777293,0.39753357,0.41235828,0.41951358,0.42157054,0.4244649,0.4329932,0.44706658,0.4625856,0.47514096,0.48221555,0.48101863,0.466664,0.43463364,0.38651899,0.33158562,0.28181264,0.2449817,0.22196464,0.20935877,0.2030664,0.20039238,0.19967073,0.19967617,0.1991322,0.19742076,0.19507468,0.19382966,0.19510235,0.19887404,0.20326813,0.20620643,0.20651017,0.20460308,0.20136584,0.19766177,0.19389027,0.19054306,0.18815254,0.18726416,0.18798913,0.18989943,0.19215526,0.19394617,0.19489498,0.19499288,0.19437839,0.19311126,0.19146909,0.19013344,0.18987279,0.19077946,0.1917771,0.19138886,0.18882911,0.18460472,0.1796596,0.17443413,0.1687898,0.1628811,0.15771924,0.1545621,0.15384008,0.15456794,0.1549909,0.15366726,0.15030606,0.14558135,0.14065546,0.13688307,0.1360975,0.14005272,0.14886658,0.15966494,0.16763203,0.16921848,0.16429418,0.15569843,0.1465584,0.13865368,0.1321824,0.12674,0.12214499,0.118611135,0.11646038,0.11540013,0.11494557,0.11531815,0.1185802,0.12750168,0.14428587,0.16910727,0.2014835,0.2390598,0.27736107,0.30764613,0.32155296,0.3150642,0.2936064,0.2686523,0.25142223,0.24390016,0.23946278,0.23056829,0.22058757,0.22028987,0.23752058,0.26457408,0.28611836,0.28961244,0.27489838,0.24751289,0.21343522,0.17613286,0.1395304,0.10829744,0.0856087,0.07191524,0.066296525,0.07000229,0.08681477,0.11889895,0.16112298,0.20031099,0.22367424,0.22867613,0.22494638,0.22390872,0.22707562,0.22592239,0.21323358,0.19361264,0.17857385,0.17342873,0.17117251,0.16351646,0.1548081,0.15960144,0.18731676,0.22977571,0.27072766,0.29931524,0.31765437,0.32978842,0.33427382,0.32348534,0.29555658,0.25984207,0.23418723,0.23101854,0.24885325,0.2738582,0.2919002,0.29790148,0.29558852,0.2919272,0.29169,0.29815772,0.31049708,0.32444882,0.33130983,0.32732692,0.315855,0.30749726,0.30898833,0.31910828,0.33076298,0.33954486,0.34905174,0.36393765,0.38387635,0.39889082,0.4012914,0.38984787,0.37246582,0.35543892,0.34262738,0.33676693,0.34506392,0.37484968,0.4232115,0.4719459,0.49542978,0.48030785,0.43393528,0.37847963,0.3326615,0.3034805,0.28775322,0.2807431,0.27983284,0.2836732,0.28918916,0.29170987,0.28790298,0.27851093,0.26717004,0.25702384,0.24962316,0.24700402,0.25391066,0.27248314,0.29773742,0.31548807,0.31467378,0.2939465,0.2643217,0.2368776,0.21719293,0.20358384,0.19347554,0.1857574,0.18057562,0.17696132,0.17451073,0.17730851,0.197034,0.24417698,0.31456184,0.38256192,0.41655254,0.402398,0.35232055,0.29185802,0.23891234,0.19856162,0.16831721,0.14735872,0.1357509,0.13199097,0.13183123,0.13468368,0.14904033,0.18921928,0.25799513,0.3358097,0.38742402,0.3913946,0.35453692,0.30581966,0.26895502,0.2517223,0.24959834,0.25900003,0.27765617,0.3006598,0.3174722,0.32076755,0.3128481,0.30546856,0.3072307,0.31568822,0.3201358,0.3144052,0.30486643,0.30388907,0.3177173,0.3389388,0.3552672,0.35996303,0.35736606,0.3544695,0.3534657,0.351716,0.35031244,0.35932064,0.38798174,0.43301162,0.4735748,0.4899467,0.47696725,0.4481943,0.4173651,0.38946292,0.36097407,0.332104,0.30964044,0.30160546,0.3090683,0.32475314,0.33929035,0.34786034,0.3520956,0.35624945,0.36252484,0.3709463,0.3813213,0.3956035,0.41349387,0.43061373,0.43782628,0.43019345,0.40998945,0.38712862,0.37003767,0.36080492,0.35431316,0.3435494,0.3255142,0.30215344,0.27819586,0.25948045,0.25361863,0.27293983,0.32154217,0.38963628,0.44655076,0.46948782,0.45369363,0.4208072,0.3907855,0.3734789,0.3645222,0.3591548,0.35537863,0.3525299,0.34763226,0.3368671,0.32293007,0.31836835,0.33762917,0.38218093,0.43293312,0.46473882,0.46457842,0.44108427,0.4110228,0.38641158,0.3698467,0.36182436,0.36594304,0.3834405,0.40853474,0.42577896,0.42356017,0.39928484,0.36357987,0.32781753,0.30026117,0.28230095,0.2743996,0.27679768,0.28825796,0.3028088,0.3110433,0.30655062,0.2903184,0.2693365,0.24972029,0.23356307,0.22297049,0.2253025,0.25275168,0.30727276,0.3736088,0.4203814,0.42770913,0.39691034,0.35199872,0.31339657,0.29014134,0.2771609,0.26828444,0.25934207,0.24979796,0.2398598,0.23021989,0.22136612,0.21346872,0.20584868,0.19760667,0.18957114,0.18570624,0.19266433,0.21319366,0.2420543,0.26511943,0.2707049,0.25672486,0.2331232,0.21112746,0.19613726,0.18571739,0.17595376,0.16570467,0.15642707,0.14858423,0.14179121,0.1395827,0.15411054,0.19835131,0.27136266,0.34859028,0.39632297,0.3953985,0.35435832,0.29690722,0.24211057,0.19621406,0.15909238,0.13219313,0.117581695,0.11348635,0.11366286,0.115906514,0.12857272,0.16805409,0.23940063,0.3248521,0.3876082,0.40313575,0.37578818,0.33719704,0.3151035,0.31727943,0.33254668,0.35063672,0.37221754,0.4016392,0.43673313,0.46428677,0.4744282,0.46552303,0.44615886,0.42146185,0.39321437,0.36081675,0.32915267,0.30459628,0.28941277,0.27776435,0.2617416,0.24102838,0.22626476,0.23128004,0.2605672,0.30575654,0.35329345,0.39729512,0.43832138,0.47617686,0.49969673,0.49648365,0.46311522,0.41362584,0.36900774,0.34464094,0.3413632,0.34798422,0.35074437,0.34181812,0.3229269,0.30144873,0.28458536,0.275126,0.2714546,0.27008733,0.26878762,0.26885048,0.2746359,0.29036868,0.31405166,0.33676744,0.34645876,0.33832228,0.3164138,0.29097813,0.2690827,0.25388145,0.24587195,0.24692567,0.25769383,0.27482197,0.2894995,0.2952361,0.29499698,0.30470204,0.337171,0.39057347,0.44120494,0.46676764,0.45860675,0.43005922,0.39680287,0.3694913,0.34924006,0.33549845,0.32788423,0.32584265,0.3285438,0.33546725,0.34893122,0.37326387,0.40930822,0.4491675,0.47435975,0.47045723,0.43770254,0.39726838,0.37260675,0.37555882,0.39737204,0.4215417,0.43517995,0.4344103,0.4207313,0.39557257,0.36465883,0.337471,0.3280246,0.34177053,0.37250304,0.40215674,0.4150976,0.40686402,0.38650596,0.36748922,0.3583472,0.35907528,0.3643262,0.36879835,0.36988652,0.36809132,0.36755526,0.37602696,0.40143207,0.4421785,0.4838144,0.5051897,0.4966679,0.46537316,0.429401,0.40088734,0.3815749,0.3652406,0.34567967,0.3201053,0.29033157,0.2614787,0.23891862,0.22529592,0.21980093,0.21930633,0.22054537,0.2225859,0.22945465,0.2501922,0.29002655,0.3429809,0.38945767,0.41220805,0.40683928,0.38541368,0.36196542,0.34461343,0.33305955,0.32541886,0.3197012,0.31426618,0.30564213,0.29314384,0.28223953,0.28741026,0.32119536,0.3821274,0.4472722,0.48674452,0.4826503,0.4395459,0.3746126,0.30414054,0.23872726,0.18725777,0.16073044,0.16738494,0.20557614,0.26000977,0.311793,0.3512939,0.38525376,0.42043793,0.45223555,0.4605974,0.4375328,0.39376566,0.3581215,0.34740317,0.36122808,0.38395417,0.4034023,0.41563252,0.42230642,0.42449164,0.4201198,0.4081551,0.38982883,0.36953354,0.3504726,0.33369198,0.3172326,0.29967675,0.28147838,0.2650303,0.2512285,0.23912357,0.22835992,0.22257316,0.22689722,0.2423354,0.26476714,0.2909267,0.32566884,0.37372193,0.4295136,0.4702529,0.47588694,0.4428315,0.38996062,0.33876994,0.30185762,0.2792007,0.2668793,0.2618376,0.26204637,0.26520357,0.2683169,0.2693571,0.26822984,0.26600972,0.26412895,0.26290378,0.2647849,0.27441308,0.29873374,0.33725703,0.38048115,0.4103713,0.4165015,0.39963934,0.37258565,0.3449361,0.32046613,0.29774296,0.27955627,0.2716062,0.2758535,0.2841616,0.28563425,0.2797884,0.28355655,0.31425452,0.3718637,0.43004337,0.46108258,0.45367372,0.4220226,0.38504815,0.35558283,0.33561194,0.3249487,0.32284483,0.3265244,0.3296056,0.32674876,0.32004806,0.32136336,0.34076205,0.37591287,0.40655804,0.41449404,0.39742061,0.3744776,0.36436775,0.3718953,0.38683227,0.39851013,0.40452823,0.40642706,0.40393063,0.3923258,0.37099698,0.34521958,0.3252529,0.3163406,0.31712446,0.32082558,0.32269135,0.32083932,0.31540832,0.30517003,0.2894651,0.27045426,0.25505742,0.25027603,0.25802138,0.27347687,0.29324517,0.323223,0.37468562,0.44604263,0.513194,0.54208153,0.5191155,0.4609984,0.40098763,0.3598412,0.33867255,0.32611397,0.31325567,0.29690477,0.27830446,0.25967756,0.24359696,0.23220788,0.22663605,0.22588967,0.22710426,0.22818714,0.23030044,0.23914145,0.25681457,0.2783023,0.28912666,0.2805541,0.25367513,0.22197957,0.19603388,0.18036924,0.17154111,0.16620469,0.16187277,0.1570788,0.14943944,0.13992713,0.13727154,0.15972982,0.21918212,0.30766287,0.39066708,0.43405008,0.4239975,0.37662396,0.31490502,0.25454494,0.20073642,0.15832414,0.13468285,0.13201095,0.14311327,0.15404452,0.16036774,0.1727194,0.21042965,0.2764016,0.34972832,0.3959922,0.39919615,0.3683916,0.32936776,0.29855743,0.28196028,0.27902117,0.29410127,0.32721218,0.36947998,0.40029475,0.40560725,0.38633308,0.36088815,0.3471942,0.35210264,0.3677552,0.38152924,0.38567078,0.380331,0.3705046,0.36031342,0.3522117,0.34767452,0.34804094,0.35222995,0.35586485,0.35287285,0.34033966,0.32080722,0.30176187,0.2902329,0.28915477,0.29545033,0.30345023,0.30806375,0.30716434,0.3003542,0.28778186,0.27065194,0.2532278,0.24245304,0.2433117,0.25391197,0.2661136,0.27161503,0.2677275,0.25687525,0.2424965,0.22541529,0.20473506,0.1799408,0.15305565,0.1277899,0.107965864,0.09521989,0.08930409,0.08920837,0.094255745,0.103565454,0.11648586,0.1353348,0.16431336,0.2040698,0.2432967,0.26553798,0.26175568,0.24168773,0.22149913,0.20921277,0.1988638,0.18499447,0.17297322,0.17563158,0.19895951,0.2359773,0.27262482,0.29879877,0.31142655,0.31147957,0.2992334,0.27685735,0.25215188,0.23902398,0.24730599,0.27283236,0.29634658,0.299139,0.2792626,0.25502905,0.24801342,0.2652156,0.2944001,0.3185154,0.32902598,0.32972524,0.32739317,0.32571018,0.3233712,0.3186052,0.31042978,0.2988758,0.28338513,0.2643371,0.24585563,0.23607837,0.24174654,0.26085475,0.2827158,0.29635766,0.29858008,0.29371402,0.28664157,0.279786,0.27417463,0.27288756,0.27866742,0.29187053,0.3084785,0.32386532,0.3349158,0.34198764,0.34662476,0.34974384,0.35024688,0.34624973,0.33755204,0.3270528,0.31913713,0.31641367,0.31725237,0.3178858,0.3151799,0.30925968,0.30228138,0.29736552,0.29749116,0.30443504,0.31743273,0.3319573,0.3423153,0.34462008,0.3393264,0.32940292,0.31799737,0.30782747,0.3018318,0.3047527,0.31872812,0.34296265,0.36982372,0.3925978,0.4045219,0.40551546,0.39654168,0.38228616,0.36672053,0.35497686,0.35188177,0.35897973,0.37359944,0.38716355,0.39396772,0.3919345,0.3849838,0.37524697,0.36401412,0.35244533,0.34511936,0.3478243,0.3621041,0.38347837,0.40455365,0.42408013,0.4484307,0.48190323,0.51591533,0.5292484,0.5097025,0.46606755,0.42493296,0.40391847,0.40032685,0.39956322,0.39617503,0.40162802,0.4246578,0.45738283,0.47204134,0.4539608,0.41203046,0.3773291,0.36758673,0.3789716,0.39333615,0.4032528,0.4161062,0.4382306,0.46225676,0.46988097,0.45647347,0.4368974,0.4340061,0.45318046,0.47776136,0.48651144,0.47104362,0.44150344,0.4126948,0.39618015,0.39476064,0.40547702,0.42009863,0.42913827,0.4267627,0.41566646,0.4044224,0.4015434,0.40858123,0.42176175,0.43625352,0.4512852,0.46867263,0.48836353,0.5058236,0.51375,0.5084005,0.4918129,0.47096547,0.4517486,0.4372342,0.4280661,0.42590925,0.43209198,0.4450215,0.45758235,0.46142384,0.45315495,0.43818972,0.4269688,0.42477813,0.42821375,0.42683995,0.4164337,0.39957368,0.38489854,0.3760445,0.37357557,0.37538394,0.38069764,0.38798487,0.3949877,0.40016663,0.40496156,0.41378105,0.43075478,0.45381483,0.4739406,0.47896335,0.46491256,0.43849733,0.4135783,0.39897394,0.39510536,0.39713278,0.40289262,0.41362557,0.42858693,0.44100952,0.44168878,0.42849565,0.40818575,0.39101446,0.38007033,0.37207043,0.36238158,0.35316983,0.35036156,0.35836723,0.3739171,0.3890992,0.3968396,0.3966581,0.39290807,0.3905729,0.39246145,0.40019175,0.41675067,0.439894,0.461778,0.4670247,0.45027956,0.4158267,0.3796457,0.35097063,0.33299097,0.32126844,0.31318748,0.30764246,0.30553707,0.30702972,0.31069908,0.31335783,0.31224594,0.30706012,0.3006032,0.2974764,0.30237898,0.31961992,0.3486894,0.3832949,0.41060078,0.42223403,0.41788402,0.40679917,0.39675626,0.39107585,0.38776448,0.3849202,0.38107705,0.3758525,0.3690606,0.36313054,0.36272195,0.37479463,0.40117133,0.4352088,0.46046925,0.4644272,0.44750246,0.42506793,0.4122717,0.4127545,0.41748396,0.4160588,0.40608147,0.39343646,0.38503292,0.38346276,0.38787034,0.39911476,0.41795325,0.440663,0.45507145,0.45077932,0.42752495,0.39787212,0.374553,0.36298493,0.36127234,0.367926,0.3836144,0.40548232,0.4250187,0.430995,0.4213473,0.40335187,0.3898919,0.38682547,0.39196897,0.3975993,0.39819232,0.393219,0.38589203,0.38059822,0.37914205,0.38156024,0.38610587,0.39246407,0.40062383,0.4115024,0.42488363,0.44052407,0.45594385,0.46630046,0.4644109,0.44689366,0.41835773,0.38966635,0.3693705,0.3565921,0.34424385,0.3267101,0.30643407,0.29072723,0.28538534,0.29000667,0.29889536,0.306504,0.31007442,0.31111968,0.31190783,0.3158613,0.32593402,0.34438118,0.36750612,0.3855777,0.38751492,0.37060177,0.34259745,0.3157805,0.29827622,0.2908847,0.2904962,0.29326805,0.2978191,0.30380014,0.31271914,0.3257706,0.34576884,0.3734455,0.40533578,0.43036518,0.43681967,0.42055246,0.38958392,0.35759,0.33457485,0.32264146,0.31799075,0.3161318,0.31393817,0.3108696,0.30768633,0.30795765,0.31699827,0.33960685,0.3721343,0.40184915,0.41257834,0.3993521,0.3701165,0.34049562,0.31974486,0.31076717,0.31250873,0.3272681,0.3551999,0.39162526,0.42345002,0.43982005,0.4370809,0.42285773,0.40612623,0.393258,0.3838087,0.37566698,0.36573252,0.35369685,0.34034625,0.3286475,0.32040134,0.31692863,0.31792977,0.32310352,0.33158627,0.3440453,0.36353493,0.39461842,0.43537727,0.47424594,0.49394655,0.48786256,0.46460095,0.4425054,0.43210784,0.4320266,0.43251586,0.4261469,0.4114014,0.3933377,0.38020107,0.37961543,0.39400932,0.41869888,0.44366005,0.45873928,0.4597468,0.45060846,0.4414612,0.43950906,0.44526398,0.4510412,0.45197478,0.4485254,0.44795278,0.45454156,0.46801051,0.48323298,0.49456587,0.4980093,0.49228898,0.48040596,0.46750546,0.45865467,0.45564353,0.45685986,0.45912167,0.4587688,0.45435408,0.445541,0.4341085,0.4216453,0.41041085,0.40180287,0.39632872,0.3928671,0.38983825,0.3859876,0.38286296,0.38515654,0.40068272,0.43132076,0.46903026,0.495546,0.49863014,0.47942135,0.45236897,0.4302071,0.41793868,0.4137938,0.4162588,0.42474088,0.43664718,0.4457914,0.44594285,0.4358358,0.41950333,0.4024696,0.38746142,0.37526724,0.36728284,0.3667446,0.37586144,0.39268002,0.41142157,0.4261261,0.43481517,0.43952498,0.44350496,0.44773886,0.45186448,0.45611525,0.4637817,0.47444782,0.4823216,0.4745148,0.44617322,0.40221366,0.35834992,0.32484022,0.3050021,0.29434904,0.2891666,0.28672802,0.2856523,0.28408256,0.28155208,0.28038433,0.28587523,0.30161485,0.32562527,0.35036287,0.36980638,0.38467538,0.39970025,0.41607097,0.4271953,0.42616388,0.41255286,0.39498746,0.38246587,0.3787749,0.3808607,0.3839821,0.38571402,0.38645312,0.38743284,0.38911703,0.3927718,0.40185216,0.4175752,0.43432364,0.43867454,0.42217246,0.389168,0.35641328,0.3378028,0.33552274,0.34097514,0.3447354,0.34308684,0.33819154,0.33416104,0.334532,0.34179583,0.35846734,0.38441256,0.41392335,0.4351059,0.43735993,0.4198195,0.3929201,0.3706862,0.3604244,0.36135033,0.36863518,0.38040173,0.3947555,0.4081826,0.41269362,0.40504906,0.38888785,0.37541747,0.37214908,0.37912488,0.38883638,0.3940631,0.39212427,0.38499913,0.37654313,0.36970794,0.3668363,0.36883736,0.37616876,0.38695705,0.39920434,0.41086832,0.4236742,0.439294,0.45691207,0.46859822,0.46604297,0.4469303,0.4186499,0.39171788,0.3724176,0.36106935,0.35483363,0.3516576,0.35077858,0.35177004,0.35367325,0.35415098,0.35166195,0.34621987,0.34042743,0.33712915,0.33856523,0.3467848,0.36254153,0.38323447,0.40015554,0.40417984,0.3919767,0.36995864,0.3480306,0.33285087,0.32515225,0.32259557,0.32316124,0.32537684,0.3277781,0.32932425,0.33183584,0.34110996,0.36253265,0.39393035,0.42234716,0.43222046,0.41766763,0.3880206,0.35990825,0.34530398,0.34534547,0.35367045,0.36267897,0.36816624,0.36974108,0.36990312,0.37324584,0.3853557,0.4104983,0.44383737,0.4725373,0.4800504,0.46407422,0.4353991,0.41333127,0.40604532,0.41128638,0.42025253,0.42942265,0.43769717,0.442637,0.4371189,0.41818622,0.39149106,0.37031528,0.36322007,0.369457,0.38044056,0.38917753,0.3930218,0.3932321,0.39027104,0.38423195,0.37582096,0.3688533,0.36765543,0.37414268,0.38605526,0.400177,0.41567338,0.43388942,0.4520971,0.46183625,0.452391,0.4232678,0.38436532,0.35065797,0.32825512,0.31514475,0.3063736,0.3024868,0.3072594,0.32219496,0.34253561,0.36045206,0.37148985,0.37768397,0.38476685,0.39599845,0.41015077,0.42362785,0.43407473,0.43912232,0.43525574,0.41827694,0.3897277,0.35799065,0.3359247,0.33131734,0.3435868,0.3638948,0.38202998,0.391963,0.39484534,0.3971221,0.40488613,0.41980612,0.4381728,0.4523088,0.454267,0.4388622,0.41100028,0.38362455,0.37228408,0.38189766,0.40567753,0.43060184,0.4478358,0.45616928,0.45934418,0.4622085,0.46811667,0.4786028,0.4926699,0.5044816,0.5050741,0.48681656,0.4530019,0.4169539,0.39410576,0.38871697,0.39356756,0.39885762,0.4027277,0.40958288,0.42147553,0.43197826,0.43181896,0.418224,0.39929497,0.38767707,0.39094868,0.4069728,0.42699328,0.44288543,0.45182917,0.45615268,0.45998347,0.46571353,0.4733974,0.4811341,0.48649704,0.48772264,0.4856895,0.48545948,0.4932522,0.5100668,0.52799493,0.5350242,0.5262577,0.5065928,0.48586586,0.46827284,0.45352873,0.44069037,0.43317875,0.43292853,0.43706515,0.43706235,0.4277978,0.41087088,0.3941164,0.38326183,0.3793321,0.380258,0.38549474,0.396902,0.41380754,0.43100584,0.4395701,0.4361365,0.42513385,0.4174271,0.4211528,0.43798158,0.4630475,0.48797774,0.50466037,0.5074536,0.49668705,0.47853258,0.46229276,0.4555397,0.45812586,0.4645842,0.46603718,0.46067056,0.45124054,0.44432023,0.43992546,0.43393132,0.42194965,0.40637037,0.3946419,0.3932253,0.40480065,0.42749766,0.45737633,0.48640558,0.50728744,0.5175325,0.5241831,0.5352283,0.5518131,0.5649081,0.56629634,0.5553634,0.54035753,0.52827466,0.52122813,0.515609,0.508066,0.49731168,0.48524496,0.47487366,0.46809456,0.4644299,0.46052882,0.45380735,0.44357193,0.43390295,0.4287627,0.4309653,0.43767723,0.44535112,0.45018843,0.45241153,0.45223653,0.45193496,0.45319125,0.45993754,0.47049966,0.47834346,0.4713652,0.44618472,0.40943944,0.3762423,0.35598615,0.34922636,0.34977528,0.35173798,0.35313368,0.35435572,0.35701957,0.36071253,0.36390945,0.36422634,0.36118996,0.35649553,0.35414383,0.35913074,0.37578788,0.40323815,0.4332601,0.4523655,0.45221862,0.43558583,0.41465655,0.40024456,0.3949485,0.393991,0.39069375,0.38137272,0.36642542,0.3498863,0.33856353,0.33986294,0.36036086,0.397861,0.44026962,0.46672365,0.46500993,0.43768588,0.40154895,0.37121943,0.35267696,0.3437984,0.34071544,0.34070396,0.34160188,0.34218574,0.34356084,0.35017255,0.3694644,0.40255788,0.441094,0.46580693,0.46545145,0.4426119,0.41536388,0.39773265,0.39412907,0.3996425,0.4106134,0.42607716,0.44356847,0.4562553,0.4563004,0.44271913,0.42239413,0.4053494,0.39677283,0.39522326,0.39509913,0.39197573,0.38552737,0.37982228,0.37985197,0.3877336,0.40075648,0.41359952,0.4213475,0.4220887,0.41831782,0.41642237,0.42435995,0.44226816,0.4616038,0.46663764,0.45266327,0.42604813,0.4035256,0.39303032,0.39420262,0.3988254,0.40209594,0.40251264,0.40130052,0.39909068,0.39626002,0.39350617,0.3921059,0.39332414,0.39854416,0.40967593,0.42839655,0.45436952,0.48235157,0.504227,0.5117398,0.50341004,0.48387715,0.46301255,0.4488379,0.44580933,0.45258483,0.4648594,0.4775335,0.48809674,0.49663928,0.5054946,0.516663,0.53154635,0.5465862,0.5547373,0.5471685,0.524072,0.4949002,0.47473404,0.47152153,0.48353052,0.50157374,0.51689553,0.52432317,0.5231585,0.5153117,0.50584584,0.50113094,0.5076557,0.5226242,0.53585243,0.5319101,0.5082497,0.4724435,0.44029668,0.41836333,0.40749046,0.40398172,0.40833452,0.42014185,0.43649518,0.4497346,0.45437667,0.44973063,0.4406846,0.43210503,0.4266182,0.42399827,0.42308083,0.42265916,0.42213047,0.4218422,0.42271018,0.42503133,0.42769527,0.42900714,0.42825142,0.42707816,0.42920348,0.43957886,0.4604958,0.48736408,0.5077906,0.5089688,0.48853493,0.45676962,0.42863086,0.41174543,0.40417242,0.39954042,0.39390048,0.38785186,0.38383365,0.38380477,0.38689408,0.39152083,0.39601728,0.4004766,0.4051083,0.41141438,0.42119634,0.4363223,0.45367566,0.4660189,0.4644822,0.44772425,0.4213698,0.39558578,0.37607846,0.36378518,0.3556062,0.3494726,0.3454183,0.34529015,0.3513097,0.36556098,0.39083397,0.42753908,0.46886683,0.49917933,0.50292355,0.47727552,0.43499005,0.39443228,0.3667275,0.35274407,0.34824598,0.34917435,0.35299146,0.35760775,0.36269364,0.3711342,0.38959733,0.42187294,0.46234965,0.49455044,0.50336534,0.48670658,0.45774618,0.43210933,0.41731298,0.41160414,0.41195273,0.41847792,0.4301584,0.44101468,0.44004667,0.42256036,0.39308056,0.36441946,0.3458637,0.33975124,0.34197238,0.34734523,0.3531483,0.3591505,0.3665279,0.37456763,0.38063332,0.38282856,0.38234913,0.3831139,0.38770184,0.39757285,0.4142902,0.43817922,0.46492732,0.482792,0.48293972,0.46456984,0.43903694,0.41705468,0.40432617,0.39801452,0.3942056,0.39005426,0.38517356,0.3797712,0.37425914,0.3696189,0.36696935,0.3673692,0.37078357,0.3771567,0.3868581,0.4013678,0.42034116,0.43952978,0.4512869,0.45023587,0.43796563,0.421347,0.4072459,0.3975129,0.39130077,0.38759497,0.38812292,0.3947854,0.40767252,0.42445946,0.4425082,0.46215543,0.4825981,0.500984,0.50861186,0.50163084,0.48088083,0.45532712,0.4310329,0.41241002,0.40000522,0.39497852,0.39675483,0.4037064,0.41322413,0.42558208,0.44374046,0.47279358,0.51057833,0.54699177,0.56507,0.55767834,0.53032273,0.4991034,0.47498438,0.46101227,0.45468986,0.45489398,0.46097597,0.46958098,0.47397175,0.46965304,0.45903385,0.4511721,0.45204833,0.4601591,0.467206,0.46988848,0.47126517,0.47609368,0.48126486,0.4785683,0.46563545,0.45074165,0.44600034,0.4534452,0.46341398,0.46441093,0.45459494,0.44177678,0.43251005,0.42536882,0.41272306,0.39124766,0.36502954,0.34292045,0.33002928,0.32585585,0.32584026,0.32591042,0.32414678,0.3210217,0.31843337,0.31829372,0.3211424,0.32552645,0.3291719,0.33097896,0.33323905,0.34104875,0.3594625,0.3868679,0.4143981,0.42933103,0.4263972,0.40926436,0.38823378,0.37020507,0.35746148,0.34833506,0.34135148,0.33593488,0.33230364,0.33171895,0.33749187,0.35539868,0.39029816,0.4374423,0.48079577,0.49947467,0.4864093,0.4515926,0.415648,0.3914027,0.38065687,0.37758943,0.37712386,0.37679592,0.37598523,0.37568104,0.37899038,0.39109695,0.4156262,0.4485662,0.47751442,0.48811674,0.4765748,0.451659,0.42810333,0.41403818,0.40980735,0.41221014,0.42086244,0.4344832,0.4475313,0.44944942,0.43440703,0.4060297,0.37621388,0.35481086,0.34459686,0.3420943,0.34286427,0.3445972,0.34687307,0.35004678,0.35402885,0.35858807,0.3633019,0.368005,0.3721927,0.37692547,0.38565013,0.40552202,0.43934965,0.48165265,0.5160195,0.52998394,0.5216603,0.50272167,0.484499,0.47270143,0.46596476,0.46216154,0.46038648,0.4611161,0.46516144,0.4724904,0.48154223,0.48955205,0.49444377,0.4962373,0.49657357,0.49725172,0.49920925,0.5014383,0.50084203,0.4932367,0.47729674,0.45666575,0.4380273,0.42625538,0.42161408,0.42177,0.42449537,0.42882785,0.43435058,0.4403925,0.44748485,0.45685598,0.47134367,0.49007335,0.5083516,0.51583016,0.5068517,0.48320076,0.45659947,0.43723133,0.4290721,0.42817053,0.430073,0.43329588,0.43846035,0.44447693,0.4494667,0.4544524,0.46572688,0.486776,0.51235867,0.52802736,0.5238657,0.5015679,0.47312382,0.44929716,0.4348702,0.430318,0.4359591,0.45063314,0.46893796,0.4813023,0.4802401,0.46584702,0.44572774,0.4288701,0.41920483,0.41491815,0.41146013,0.40593633,0.3980993,0.38995263,0.38371053,0.38140163,0.38354793,0.38962173,0.39673796,0.40225518,0.40616456,0.41352853,0.4313191,0.45860636,0.48451754,0.4908775,0.4706858,0.42997167,0.3870828,0.35481787,0.33826208,0.33344555,0.3359889,0.3427267,0.35328975,0.36733377,0.38345936,0.39833108,0.40948415,0.41643503,0.4216062,0.428015,0.43837896,0.45352593,0.47028038,0.48207602,0.48121178,0.4669759,0.44541645,0.4272275,0.41781878,0.41647017,0.41743955,0.41609034,0.41166946,0.4069245,0.40684226,0.415378,0.43541053,0.4662648,0.5009658,0.5268934,0.53069067,0.51087755,0.47696006,0.44523135,0.4239328,0.4140419,0.41025475,0.40884688,0.40677175,0.40314808,0.39899123,0.399412,0.41207978,0.44155398,0.4825447,0.5196696,0.5370772,0.5308263,0.5101437,0.48979154,0.47723648,0.47342274,0.47494552,0.4822725,0.4944364,0.5086808,0.51629233,0.5113602,0.49332762,0.46900573,0.4456917,0.427488,0.41513935,0.4076545,0.40435025,0.40384778,0.40507877,0.40649566,0.40703884,0.40551582,0.4021918,0.3979677,0.3957113,0.39905167,0.41374782,0.44236195,0.4804616,0.51452696,0.5316655,0.52945143,0.5179613,0.510451,0.5135147,0.5259505,0.5428757,0.5599282,0.5728379,0.57829285,0.5740704,0.56159663,0.543618,0.5245242,0.5071064,0.49474803,0.48926088,0.4926814,0.50349945,0.517608,0.52725935,0.52716744,0.517005,0.50373846,0.49573657,0.49881172,0.5118734,0.52997774,0.5461342,0.5561448,0.55826145,0.5547543,0.5491738,0.54549545,0.5444588,0.5438097,0.5402162,0.533756,0.5286916,0.52946043,0.53536993,0.53996855,0.53669095,0.5255484,0.5124354,0.5041954,0.5013686,0.5015046,0.50242,0.50737125,0.51845884,0.533392,0.5448132,0.5488356,0.54866964,0.55016965,0.5543523,0.5557789,0.5504632,0.540303,0.53170156,0.5266235,0.52168727,0.5109019,0.49487677,0.47893485,0.4699478,0.46818063,0.47100934,0.47663185,0.48781475,0.5062649,0.5284977,0.5469783,0.55610734,0.55611086,0.55026907,0.54163235,0.5304337,0.51819223,0.50820345,0.50691825,0.51389676,0.52192235,0.51597697,0.49057126,0.45037282,0.4111121,0.382839,0.3688067,0.36440933,0.36541852,0.36847377,0.37184396,0.3739889,0.3740662,0.37272695,0.3720096,0.373747,0.37781188,0.3834648,0.3927156,0.41062734,0.43878993,0.46985376,0.4894493,0.48811102,0.4680023,0.44068813,0.41735327,0.40290046,0.3967241,0.39519724,0.3949168,0.39335573,0.39010337,0.38772938,0.39081344,0.40492788,0.42858413,0.45291254,0.46279863,0.4526694,0.42885363,0.4071863,0.39679432,0.39722562,0.40155622,0.40542817,0.40835884,0.41152966,0.41536155,0.420928,0.43105996,0.44958732,0.47414747,0.4940815,0.49385878,0.46829048,0.4274296,0.39115885,0.37213585,0.37055567,0.37947443,0.39541888,0.41815588,0.4452349,0.46701053,0.47327045,0.46007255,0.43450782,0.40824685,0.39162323,0.38752523,0.39304268,0.40143433,0.40766478,0.4095328,0.40869847,0.4076365,0.408883,0.41372612,0.42284486,0.43615046,0.4539007,0.47613367,0.5013847,0.52236515,0.52857035,0.5113563,0.47427103,0.4292983,0.3899823,0.36012077,0.33695105,0.31687427,0.30142972,0.29498568,0.30018735,0.31544128,0.33545563,0.3541983,0.3672719,0.37346402,0.37489638,0.37648848,0.38458267,0.40312538,0.42920017,0.45248485,0.46124557,0.45190215,0.430666,0.40915945,0.39460933,0.38833225,0.38699952,0.3879477,0.39073816,0.3961041,0.40540084,0.41957244,0.44192076,0.4727939,0.50624824,0.52657825,0.5210474,0.48980436,0.44952857,0.41861606,0.40561736,0.40537438,0.40884995,0.4103082,0.40973687,0.4087974,0.40953895,0.41586348,0.43377623,0.46583652,0.5044803,0.53330356,0.53899187,0.5218063,0.49552718,0.4748961,0.4662496,0.46704912,0.4735426,0.48435903,0.4972032,0.5061876,0.5041141,0.49106812,0.4744695,0.4641601,0.46295264,0.46753588,0.47296676,0.4774518,0.48077235,0.48135066,0.4769608,0.46809277,0.4592824,0.4562229,0.45978832,0.4666297,0.47252896,0.47906455,0.49071956,0.50726396,0.5193372,0.5131385,0.48506805,0.44388387,0.40580353,0.37875417,0.361325,0.3471097,0.33543602,0.33104417,0.3385028,0.35438946,0.36830845,0.37117302,0.36331272,0.35386288,0.35184416,0.3602836,0.37728226,0.40181425,0.43073344,0.45577607,0.46208704,0.4425355,0.4034321,0.36444125,0.3417474,0.34088436,0.35554245,0.37633434,0.3959113,0.41088858,0.42137632,0.43031216,0.44190344,0.45871916,0.4760704,0.4843932,0.474136,0.44898883,0.4223354,0.4103447,0.41632554,0.43308148,0.44938672,0.45951465,0.46349755,0.46347913,0.46230495,0.46302477,0.47006583,0.4853146,0.50359267,0.51290387,0.50183463,0.4720129,0.4376175,0.4169122,0.41647175,0.43130553,0.4508455,0.47036877,0.4873731,0.49883947,0.49654016,0.47781596,0.4477258,0.42024997,0.40512136,0.40451074,0.41181657,0.42027605,0.42624986,0.43050876,0.4347792,0.43989494,0.44598302,0.4532367,0.46172512,0.46966985,0.47384298,0.4717873,0.46345675,0.45051718,0.4345174,0.41779265,0.40401897,0.3963026,0.39255285,0.38528848,0.36692357,0.336074,0.29737097,0.25730684,0.2204398,0.19021358,0.16927199,0.158684,0.1561964,0.15743358,0.15878399,0.15912284,0.1594279,0.16048747,0.16207631,0.16314028,0.16351248,0.16398853,0.16518342,0.1657366,0.16287176,0.15456723,0.14159466,0.1268511,0.11349427,0.103149116,0.09605307,0.091439486,0.088411845,0.08605886,0.08394536,0.081821986,0.07960317,0.077091016,0.07438446,0.07187996,0.07016012,0.06945604,0.06956449,0.070000984,0.07033606,0.07033012,0.06988796,0.0689938,0.06762788,0.065832,0.06368646,0.061342504,0.05890076,0.056465168,0.054145213,0.052142665,0.050585847,0.049498823,0.04898,0.049714606,0.053013626,0.059973165,0.07013706,0.08108335,0.08962072,0.09367361,0.09328011,0.08998475,0.08557093,0.08112217,0.07694563,0.07292899,0.068984985,0.065262176,0.06210415,0.06017356,0.06074673,0.06635376,0.07998836,0.10352802,0.1353026,0.1705131,0.20355994,0.23064251,0.25061095,0.26317728,0.2700808,0.27388415,0.27906033,0.28703582,0.29676148,0.30404747,0.30646908,0.3033533,0.29633904,0.28698948,0.27693287,0.26720366,0.25852287,0.2506918,0.24306424,0.23497832,0.22640161,0.21780844,0.209781,0.20254947,0.19590653,0.18943362,0.18291599,0.17645748,0.17039384,0.16487251,0.15977554,0.15477605,0.14973406,0.14468984,0.13973968,0.1347128,0.12929554,0.123287775,0.11684262,0.110435344,0.104546644,0.09945952,0.09490942,0.09021554,0.0845596,0.07781119,0.07073062,0.06449296,0.059491884,0.05498554,0.049783785,0.0435856,0.037235063,0.032072134,0.02890902,0.02805757,0.029683048,0.033941332,0.040283144,0.04717986,0.053044084,0.058042366,0.06469041,0.07616673,0.093274556,0.113111325,0.13028258,0.1397203,0.13827921,0.12558623,0.10411394,0.07978892,0.060483094,0.053558752,0.061816245,0.082187474,0.10648352,0.1258487,0.13442896,0.13131616,0.118789315,0.10040883,0.08008458,0.062506,0.05194738,0.050121266,0.05445991,0.05998862,0.06244437,0.06079562,0.056444433,0.051431596,0.046919275,0.043198567,0.04014315,0.037529837,0.03520472,0.033064906,0.03113035,0.029398037,0.02786138,0.02648086,0.025288945,0.024369812,0.02387522,0.023901155,0.024442842,0.025261296,0.026047744,0.02649323,0.026490306,0.026033679,0.025216108,0.02415605,0.023013964,0.021977246,0.021186234,0.020710332,0.020489523,0.020383999,0.020205365,0.019812085,0.01915984,0.018374493,0.017778039,0.017865643,0.019050771,0.021329055,0.024075387,0.026340911,0.027427062,0.027280912,0.026366554,0.025233371,0.024221638,0.023476064,0.023061216,0.0229837,0.023125516,0.023250075,0.023132844,0.022654466,0.021837702,0.020770691,0.019735571,0.019450203,0.021300742,0.026811158,0.036380466,0.04817049,0.05862246,0.06459028,0.065274864,0.062264517,0.057892766,0.053713456,0.050208375,0.047371004,0.045256782,0.04398364,0.043491337,0.043376684,0.043100838,0.042310447,0.041005556,0.039428383,0.03804263,0.03770085,0.039789278,0.045481812,0.054683704,0.06528819,0.07426562,0.079281636,0.08000147,0.077610046,0.07375768,0.069622345,0.06576306,0.062334348,0.059296656,0.056603927,0.054421037,0.053307485,0.054372653,0.058669478,0.06673201,0.07797912,0.09155422,0.10695079,0.12403256,0.14165534,0.15653653,0.16469851,0.16457798,0.15934016,0.15467472,0.15410851,0.15625338,0.15782438,0.15768228,0.15806513,0.15975742,0.16030413,0.15537705,0.14443935,0.13090271,0.11965812,0.113675356,0.114832975,0.12470228,0.14322792,0.16618389,0.18628633,0.19788378,0.200566,0.19809967,0.1944021,0.19120991,0.18861014,0.1867562,0.185817,0.18525666,0.18280618,0.17707866,0.16871189,0.16213654,0.16056873,0.16462918,0.17044713,0.17506821,0.17752527,0.17910506,0.17927593,0.1755325,0.16583322,0.1528722,0.14358394,0.14470337,0.15644999,0.17279582,0.18586624,0.19254874,0.19457704,0.19558698,0.19693448,0.19793548,0.19752346,0.19580059,0.19321297,0.18976468,0.18501794,0.17892812,0.17164527,0.1627204,0.15083009,0.13493808,0.1155863,0.09511137,0.076453276,0.061782032,0.051725272,0.04558721,0.042015348,0.03973065,0.03787831,0.03606996,0.03420568,0.032324035,0.03048853,0.028756624,0.02722764,0.026134355,0.025899542,0.02686745,0.028996319,0.03162061,0.033866983,0.035093866,0.035244018,0.034556642,0.033307236,0.031620298,0.029608883,0.02742665,0.025286173,0.023354232,0.021730557,0.020411892,0.01933943,0.018426074,0.017617278,0.01695537,0.016633468,0.017041998,0.018534943,0.021146169,0.024277188,0.02701609,0.02859986,0.028917745,0.028332448,0.027353847,0.026289823,0.025275603,0.024360672,0.0235822,0.022940733,0.02237983,0.02181378,0.021166662,0.020412898,0.019542873,0.018586898,0.017658228,0.017089723,0.017317861,0.01862217,0.020769492,0.023085082,0.024826853,0.0256238,0.025560156,0.024942705,0.024059892,0.0230724,0.022064978,0.021072641,0.020095713,0.01911155,0.01810235,0.017098648,0.016160466,0.015355129,0.014788982,0.014804117,0.016216055,0.0201101,0.0271049,0.036434192,0.0459763,0.053251345,0.05680706,0.05666666,0.053926945,0.049883846,0.045600217,0.041684303,0.038444996,0.03587994,0.034046277,0.033300024,0.03490652,0.040814113,0.052666407,0.070031635,0.08975699,0.108159184,0.123915546,0.13925491,0.15581183,0.1707781,0.17684348,0.16878487,0.14909251,0.1268302,0.11116698,0.10543253,0.10917288,0.120871864,0.1396965,0.16113979,0.17780375,0.18364835,0.18023251,0.17502569,0.17437355,0.17824352,0.18186347,0.18146443,0.17706837,0.17087461,0.16431291,0.1570276,0.14784245,0.13572572,0.12024626,0.10199963,0.08272966,0.06506758,0.051106025,0.041624594,0.03583367,0.0324474,0.030271875,0.028623387,0.02706148,0.02540917,0.023765087,0.022590198,0.02260665,0.024390124,0.028006874,0.03262229,0.036903936,0.03953034,0.03998889,0.038553838,0.036058966,0.033318523,0.030897351,0.029013358,0.02761268,0.026477372,0.025333187,0.02400324,0.022453928,0.020798584,0.01918186,0.017861562,0.017363662,0.018694803,0.02284084,0.029984742,0.038761932,0.04694408,0.052638743,0.055410136,0.055933055,0.055251632,0.054061025,0.052774757,0.051599193,0.05067699,0.049986217,0.049519718,0.050120223,0.054364104,0.06674702,0.089739956,0.119906686,0.14595883,0.15698494,0.1508566,0.13858157,0.1341822,0.14375247,0.16005962,0.17081876,0.16835916,0.15432109,0.13538323,0.11788484,0.1059284,0.10288497,0.111374296,0.13070823,0.15432341,0.17289858,0.17897587,0.17175484,0.15473,0.1330275,0.11018389,0.09016427,0.079070516,0.08382514,0.10701152,0.1423276,0.17776036,0.20274232,0.21456748,0.21714817,0.21608971,0.21368112,0.20780492,0.19414204,0.17101778,0.14301199,0.1199446,0.11017246,0.11442848,0.12654684,0.1396442,0.15151118,0.16288674,0.17416076,0.1829993,0.18621421,0.18051875,0.16372442,0.13595177,0.101911254,0.07101577,0.054106604,0.058225024,0.082474165,0.11804708,0.15253095,0.17632164,0.18641312,0.18572271,0.17905308,0.1699431,0.15975912,0.14880154,0.13734142,0.12599926,0.11536404,0.10550603,0.09594079,0.08622175,0.07651186,0.06775033,0.060973953,0.056684952,0.054343227,0.05283169,0.051157076,0.049674824,0.050502613,0.05742879,0.073545,0.098757744,0.12771209,0.15220685,0.16503985,0.16393097,0.15127026,0.13228223,0.11271137,0.09720632,0.088114075,0.08451921,0.083483465,0.08179083,0.07794731,0.07208698,0.06532572,0.058769297,0.053090926,0.04851612,0.04490162,0.042063504,0.03977056,0.03784182,0.036077213,0.034365267,0.032668144,0.030977555,0.02928255,0.027580963,0.025932128,0.02439178,0.02300095,0.021731354,0.020569043,0.01948841,0.018507203,0.017651452,0.016985467,0.016561544,0.01638606,0.01639332,0.016483327,0.016556988,0.016550908,0.016408512,0.016103426,0.01563172,0.015057149,0.014465512,0.013933073,0.013459229,0.012994594,0.0124780685,0.011898003,0.011282415,0.010680042,0.01014367,0.00972459,0.0094631715,0.009347301,0.009306166,0.009234388,0.0090476,0.008722123,0.008287178,0.0078121,0.007363551,0.0069968547,0.0067266547,0.006536646,0.0063859522,0.0062338016,0.006061983,0.0058612083,0.0056406506,0.0053868745,0.0051021646,0.004776353,0.0044364035,0.0040985406,0.0037919662,0.003519494,0.0032904698,0.0031079995,0.0029819452,0.0029113935,0.0028790545,0.0028558203,0.0028110489,0.0027370548,0.0026444525,0.002557287,0.0024839686,0.0024183479,0.0023416253,0.0022454138,0.0021329618,0.00201828,0.0019128885,0.001823347,0.0017510258,0.001697285,0.0016629585,0.0016477102,0.0016445831,0.0016427231,0.0016283551,0.0015932467,0.0015359375,0.0014648065,0.0013909744,0.0013222509,0.0012577436,0.0011928127,0.00112592,0.0010603771,0.0010006257,0.00094796246,0.0009028176,0.000865818,0.0008380753,0.0008178937,0.0008014533,0.0007843664,0.00076384936,0.000738869,0.00071011577,0.0006799058,0.00065123895,0.0006260296,0.00060360925,0.0005816988,0.00055872154,0.000536158,0.00051668915,0.00050126394,0.00048603615,0.00046537395,0.0004352677,0.0003969752,0.00035472927,0.00031363682,0.00027618124,0.00024220174,0.00020904542,0.00017465348,0.00014048601,0.00011283326,9.992006E-05]