[0.012972449,0.024999944,0.05411304,0.09570945,0.13910545,0.17243494,0.18873934,0.1898964,0.18201256,0.17141217,0.1616859,0.15542747,0.15333115,0.15436614,0.15536487,0.1540576,0.14987041,0.143888,0.13676025,0.12893592,0.121441595,0.116403826,0.11535808,0.11767545,0.12058223,0.12137976,0.11887169,0.11347509,0.105756186,0.09616422,0.0852874,0.07457853,0.06589801,0.060503047,0.058082473,0.05683813,0.05472301,0.050887614,0.04626054,0.042851284,0.04252723,0.04597241,0.05240493,0.059735376,0.06557992,0.06818769,0.06725965,0.063716464,0.059761465,0.058438342,0.06326685,0.07504646,0.09057597,0.10224626,0.104145624,0.094930016,0.07972934,0.064816594,0.054952126,0.051246405,0.053105846,0.059005845,0.066959016,0.07419426,0.07796819,0.076847844,0.07197162,0.06622919,0.06300948,0.0640317,0.06901055,0.07569235,0.08154684,0.08497155,0.08574709,0.08451188,0.08202165,0.07931835,0.07819682,0.08159757,0.09304402,0.113612354,0.13980198,0.16340798,0.177656,0.18105493,0.1778211,0.17172243,0.1636467,0.15276578,0.14032547,0.12921911,0.12118537,0.11500284,0.10808004,0.099031754,0.08874843,0.079657085,0.074455194,0.07510284,0.08156692,0.09156015,0.10088294,0.10627397,0.10665295,0.10379621,0.09963682,0.09534335,0.091038406,0.0876334,0.08715379,0.091427274,0.10032106,0.11133745,0.1215592,0.12932609,0.13444076,0.13752674,0.139771,0.14368518,0.15175949,0.16464962,0.17989898,0.1944427,0.20709336,0.21831238,0.2274503,0.23224984,0.23215206,0.23028205,0.23034166,0.23178194,0.22985391,0.22077088,0.2049806,0.18586046,0.16677845,0.15073435,0.14112492,0.13992631,0.14588986,0.15399678,0.15965648,0.16000512,0.15462895,0.14291795,0.12628782,0.108902596,0.09814582,0.09884682,0.110150136,0.124904834,0.13610786,0.14132048,0.1448182,0.15264992,0.16778739,0.1870565,0.2049341,0.2187057,0.23088181,0.24525821,0.2620684,0.27713183,0.28509983,0.2830579,0.2710633,0.25242904,0.23243959,0.21681015,0.20739292,0.20128644,0.19286905,0.17952581,0.16419506,0.15484284,0.16033988,0.1850136,0.22523366,0.2689097,0.3024849,0.31690523,0.3126999,0.295913,0.2740934,0.25160497,0.23043911,0.21162534,0.19592659,0.18409742,0.17621844,0.1732411,0.17528956,0.18130524,0.18838207,0.1943444,0.19885914,0.20277584,0.20661198,0.20977078,0.21013795,0.20473617,0.19073565,0.16879737,0.14286618,0.11903069,0.101189904,0.090676285,0.08619323,0.08587868,0.087079324,0.087230414,0.08412704,0.077377774,0.06845594,0.060163006,0.0550689,0.05393664,0.05548672,0.05713972,0.05701908,0.054631274,0.0508375,0.04675209,0.043214977,0.040599793,0.038842965,0.037735015,0.03754507,0.040545654,0.051475015,0.0755947,0.11360832,0.15907423,0.20096947,0.23123224,0.24832408,0.25566664,0.2569277,0.25468588,0.25066474,0.24538551,0.23764563,0.2258181,0.21121979,0.1983601,0.19305736,0.19755863,0.20904322,0.21954185,0.22146143,0.2123003,0.19686486,0.18322428,0.1774255,0.18097164,0.19163372,0.20544904,0.21836722,0.22740345,0.2314412,0.23088734,0.22642447,0.21781129,0.20412509,0.18564199,0.16556607,0.14902256,0.14111477,0.14446412,0.15833871,0.1773714,0.19247061,0.19587855,0.18676366,0.17371015,0.16804822,0.17706756,0.1985391,0.22498198,0.2473944,0.26129594,0.2650045,0.26024,0.24863255,0.23293446,0.21499854,0.19658774,0.17934954,0.16627944,0.16152097,0.16755754,0.18321414,0.20402843,0.2264418,0.24943225,0.27256072,0.29151782,0.29873607,0.28853083,0.26309606,0.23074313,0.20004098,0.17474537,0.15664686,0.14873981,0.15436977,0.1710751,0.1893214,0.19786686,0.19258605,0.17844915,0.1651965,0.15980493,0.16370805,0.17430626,0.18791796,0.20118476,0.2114386,0.21764083,0.22063453,0.2211216,0.21881741,0.21321696,0.20670056,0.20282054,0.20319448,0.20498437,0.20415705,0.1990298,0.19122005,0.18382086,0.17968695,0.18163367,0.18961293,0.20063336,0.20814477,0.20900607,0.20319104,0.19419871,0.18292564,0.16951549,0.15329956,0.13539062,0.1173563,0.10259059,0.09605303,0.10253636,0.12195911,0.14772706,0.17060828,0.18510865,0.19158332,0.19341324,0.19287772,0.19101207,0.18763219,0.18301038,0.17824525,0.17674744,0.18133663,0.18974793,0.19486512,0.19167684,0.18476428,0.18393928,0.19311418,0.2035008,0.20146315,0.18210082,0.1558597,0.14111753,0.15135781,0.18486278,0.22719646,0.25895527,0.26805183,0.25196853,0.21733607,0.17341705,0.1303891,0.09583607,0.07387687,0.063420534,0.060596213,0.061714962,0.06647347,0.07706065,0.09461883,0.11617065,0.13530402,0.14755805,0.15369081,0.15978287,0.17120866,0.18821998,0.20446743,0.21226053,0.208602,0.19682623,0.18277961,0.16943868,0.15720321,0.14582253,0.13651402,0.12958106,0.12372714,0.116475545,0.10677865,0.096458495,0.09012506,0.09365508,0.10927856,0.13249303,0.15188022,0.15797494,0.150337,0.13993144,0.13970102,0.15587668,0.18416728,0.21589607,0.2445023,0.2673664,0.28309062,0.28833055,0.2807249,0.26081195,0.23506802,0.21096303,0.1953017,0.18955018,0.19308414,0.20341587,0.21879472,0.23547085,0.24803221,0.2510581,0.24364285,0.230161,0.2181233,0.21218781,0.21188462,0.21111833,0.20397381,0.18821768,0.16758825,0.14825766,0.1358863,0.13373505,0.14304496,0.1624986,0.18656202,0.20618536,0.21255417,0.20319422,0.18315302,0.16281721,0.15267189,0.15894097,0.18044798,0.20735253,0.22708929,0.23084523,0.22007011,0.20322464,0.19039153,0.18629716,0.18827383,0.18976887,0.18607984,0.1798613,0.17754316,0.18339644,0.19368105,0.2002684,0.19721077,0.18526138,0.17019771,0.15783267,0.15125553,0.14983511,0.15086639,0.15108539,0.1487928,0.14463864,0.14068075,0.13959204,0.14404567,0.15723479,0.18074416,0.21115749,0.23896968,0.25290522,0.24873723,0.23197895,0.21341406,0.1994716,0.1890661,0.17741305,0.16197838,0.1447825,0.129247,0.117183864,0.10735693,0.097633936,0.087019764,0.07658363,0.06870074,0.06586012,0.06973817,0.07987926,0.0930456,0.103681855,0.10697905,0.101442575,0.08987636,0.07700758,0.06722356,0.06324265,0.066155665,0.07550482,0.08906188,0.10404279,0.118133925,0.13078326,0.141816,0.15145199,0.15916075,0.16565889,0.16943671,0.16806692,0.1558926,0.13274302,0.10260081,0.075086296,0.055433568,0.045213416,0.04184988,0.043854278,0.049997196,0.05927804,0.07026505,0.0825943,0.096743636,0.11281848,0.12885125,0.1418767,0.15099682,0.1595632,0.17374752,0.19736333,0.2274328,0.25458968,0.26874593,0.26629058,0.2516215,0.23442835,0.22258742,0.22000849,0.22411019,0.22993039,0.230811,0.2243703,0.21181236,0.19875836,0.19091205,0.19262798,0.20589884,0.22823536,0.2535684,0.27203214,0.27758622,0.2690383,0.251927,0.23186107,0.21360779,0.19955166,0.19221617,0.19254248,0.19876997,0.20559834,0.20816863,0.20497815,0.19866467,0.19258113,0.18883081,0.18814121,0.19091319,0.19714405,0.20578058,0.21454042,0.220942,0.22288781,0.21985193,0.21203132,0.20091808,0.18805577,0.17588556,0.1660822,0.15946679,0.15483646,0.15034074,0.14442746,0.13683943,0.12846412,0.120830335,0.11598275,0.115914665,0.12146989,0.13108541,0.14042176,0.14510189,0.14371611,0.14077431,0.1440007,0.15993047,0.1881394,0.2215771,0.25000694,0.26603076,0.26737213,0.2569407,0.2403642,0.22443008,0.21683699,0.22764038,0.268158,0.34352198,0.44224286,0.53663325,0.59792703,0.6174213,0.60853726,0.5933213,0.5831457,0.5771386,0.56923604,0.55645204,0.5382814,0.5137432,0.48146448,0.4418807,0.3988092,0.35806513,0.32515094,0.30410555,0.29483768,0.2932308,0.2917694,0.2862037,0.2774431,0.2704678,0.26665688,0.261436,0.24648279,0.21745329,0.17728834,0.13538699,0.10082698,0.07828462,0.066043146,0.059621185,0.05479063,0.050597236,0.049395043,0.0556808,0.072806,0.09985793,0.13084626,0.15842117,0.17874746,0.19336115,0.20599453,0.22074057,0.2435387,0.284716,0.3514184,0.43722573,0.5193148,0.5739655,0.59428686,0.5921015,0.5846043,0.5787864,0.57234734,0.55956554,0.5391038,0.5124251,0.48459116,0.46404395,0.46077868,0.47586784,0.49292466,0.48514923,0.43718886,0.3611957,0.2867233,0.23655702,0.21093643,0.19700213,0.18468387,0.1756674,0.17723405,0.19677491,0.24046189,0.31179562,0.406392,0.50595695,0.58756155,0.6364623,0.6536624,0.6465495,0.6186636,0.5707193,0.5067911,0.43844196,0.37747845,0.33054885,0.2962407,0.26844683,0.24106304,0.21248548,0.1883323,0.1782216,0.18830901,0.2135158,0.23839255,0.24708642,0.23495488,0.21072008,0.1879512,0.1749354,0.17152877,0.1739291,0.1785388,0.18285203,0.18342914,0.17800523,0.16842698,0.16067432,0.15992536,0.16568528,0.17386836,0.18133444,0.18845886,0.19587529,0.20246382,0.20697121,0.21098638,0.21782322,0.22858308,0.24176829,0.25857022,0.2891666,0.3462319,0.43240938,0.52830267,0.6050901,0.64236957,0.64298123,0.62223727,0.5946751,0.5646085,0.5308265,0.4892002,0.43727887,0.3775623,0.32503775,0.3040521,0.33163252,0.40138948,0.4802942,0.5364321,0.5572991,0.5594359,0.5624485,0.5762131,0.59425414,0.6087808,0.6166579,0.6195232,0.61934084,0.6173509,0.61526376,0.6136257,0.609997,0.6008404,0.58541363,0.5683883,0.5555823,0.54992896,0.5487187,0.5469759,0.5404404,0.52743214,0.506954,0.4768739,0.4351615,0.38267365,0.32553187,0.27302536,0.23443581,0.21556331,0.21568732,0.22765963,0.23942554,0.24211101,0.23318703,0.21833159,0.20404518,0.19353281,0.1841435,0.17174621,0.15510722,0.13720955,0.122514784,0.113018654,0.1076236,0.10369464,0.099605285,0.096090406,0.0968309,0.10689785,0.1287847,0.15815704,0.184177,0.19652282,0.19340277,0.18378562,0.1815245,0.19860618,0.24185212,0.31109902,0.39651045,0.47888932,0.5389365,0.5692801,0.57701164,0.5751814,0.57187694,0.56857127,0.56294495,0.55210114,0.5326602,0.502664,0.4662762,0.43649194,0.4297371,0.45273587,0.49514604,0.53592926,0.5606601,0.5684163,0.56810784,0.56577224,0.5627294,0.5562208,0.5441167,0.52489585,0.50022036,0.4774685,0.47018775,0.48836884,0.5296838,0.5765744,0.6123938,0.6303758,0.63546556,0.62960625,0.60931754,0.5694299,0.51256144,0.44767618,0.38540706,0.33291224,0.293445,0.26559964,0.24447316,0.22447751,0.20474263,0.19048084,0.18793213,0.19793981,0.21405613,0.22895163,0.238375,0.2415489,0.23742442,0.22520284,0.20737754,0.18965624,0.17789863,0.17311917,0.17333229,0.17679812,0.1853497,0.20064826,0.22086696,0.24017341,0.25405607,0.26210344,0.26708567,0.27102408,0.27571145,0.28484118,0.30685732,0.34684643,0.4007218,0.45101213,0.48422238,0.5014933,0.5197637,0.55061054,0.5884869,0.6174135,0.6268777,0.6194432,0.601873,0.57829,0.5478448,0.5094014,0.46382388,0.41611996,0.3760815,0.35735774,0.36933014,0.4080229,0.45076966,0.46936837,0.4473362,0.39322254,0.3292416,0.27541643,0.2370106,0.21055877,0.19110036,0.17719708,0.17071603,0.17801386,0.21087413,0.2773182,0.37090334,0.46622953,0.5359595,0.56867117,0.5738709,0.56843525,0.5626807,0.5585368,0.55371386,0.54581815,0.5317404,0.5080885,0.47258067,0.42562175,0.37093166,0.31473565,0.26466584,0.22799353,0.20892598,0.20555413,0.20971815,0.21187186,0.20801306,0.200984,0.19509856,0.18950398,0.17876093,0.15894842,0.1324708,0.10628203,0.086864926,0.07741746,0.07910699,0.09177821,0.11295754,0.13611217,0.15396251,0.16386874,0.1698037,0.17819174,0.19059342,0.20382844,0.2124374,0.21424158,0.20842469,0.19755606,0.1897311,0.20194829,0.25081086,0.33612606,0.43475333,0.5140647,0.5578916,0.5717404,0.5728889,0.57076293,0.5671928,0.5597488,0.5473096,0.5277374,0.5007347,0.4720701,0.45486343,0.45970905,0.48619977,0.5193657,0.54266053,0.5447211,0.5255892,0.48927745,0.4434627,0.39557567,0.35246757,0.31678355,0.28866348,0.27025172,0.27020296,0.29898763,0.3607142,0.44426003,0.5302212,0.6012159,0.65244246,0.68434954,0.69342583,0.67058665,0.61232924,0.5300552,0.44362104,0.369024,0.31036726,0.26534364,0.23170346,0.20892851,0.19585247,0.18898094,0.18607318,0.1843767,0.18165243,0.1726437,0.15779783,0.14276648,0.13965233,0.15466946,0.186296,0.22410166,0.2569319,0.276306,0.27933553,0.26770893,0.24749441,0.22741206,0.21653295,0.21891065,0.23155542,0.24585974,0.25516176,0.25831458,0.26015866,0.267238,0.28681955,0.3248403,0.38107178,0.44424462,0.49468765,0.520765,0.52846193,0.5380414,0.5615401,0.5940891,0.61866874,0.62506336,0.6136232,0.5915312,0.5624864,0.52793366,0.48740157,0.44331208,0.39936438,0.36441544,0.34970698,0.3644556,0.40619946,0.45894596,0.50205237,0.52262574,0.5212942,0.5055584,0.4813074,0.4496007,0.41065696,0.36757898,0.3274931,0.29979578,0.29571256,0.32302412,0.3802749,0.4513558,0.51428545,0.55378073,0.57099104,0.5758782,0.5774944,0.57707626,0.573099,0.5634641,0.5473233,0.52257556,0.48814538,0.44491616,0.39732763,0.35127023,0.31316933,0.28747743,0.2762481,0.2758284,0.2779187,0.2706266,0.2472292,0.2092324,0.16736336,0.1324751,0.110278994,0.09882464,0.09327064,0.08989162,0.08844177,0.09059999,0.09811386,0.110664226,0.12636952,0.14162484,0.15350032,0.16093504,0.167208,0.17721207,0.1932997,0.21148133,0.22398871,0.22600473,0.21891628,0.20991464,0.20680243,0.21828286,0.25156358,0.3095638,0.38375458,0.45610952,0.50973177,0.5399216,0.5539344,0.5607603,0.56382734,0.5622244,0.5546034,0.5401106,0.5170119,0.4863993,0.4568874,0.44277576,0.45322502,0.483253,0.5177087,0.5442155,0.56045574,0.57074386,0.57748175,0.5797604,0.5756249,0.5644574,0.54559517,0.51994497,0.4934971,0.48041633,0.4926804,0.5305715,0.57744396,0.6171379,0.64504224,0.6663179,0.679466,0.6700043,0.62664944,0.55316234,0.47051045,0.39761975,0.34520745,0.3162818,0.3160528,0.34870186,0.4099647,0.48212895,0.54453653,0.58646154,0.61210483,0.6301706,0.6445217,0.6524315,0.65218204,0.6461649,0.6383582,0.6301361,0.6196742,0.60869426,0.6012953,0.6054581,0.62143785,0.6465575,0.6701653,0.6852204,0.68515944,0.67151785,0.6480489,0.6202674,0.5895042,0.55440444,0.5125287,0.4633281,0.4085369,0.3534657,0.3081973,0.28650013,0.30024624,0.34962687,0.41995963,0.4862505,0.5290116,0.5428059,0.53573436,0.51675427,0.48894012,0.45087782,0.4040842,0.35501304,0.31254336,0.28507057,0.2819992,0.31040922,0.3674629,0.42986223,0.46395,0.4451374,0.38108552,0.3022276,0.2428907,0.21631747,0.21814533,0.23334603,0.24991207,0.25947666,0.26018107,0.25511536,0.25200036,0.25813022,0.27537897,0.29846975,0.31836048,0.32909667,0.33029974,0.32582107,0.31914786,0.31273592,0.30844477,0.3080797,0.31058693,0.31171462,0.30624762,0.29328385,0.27607748,0.2597705,0.24779247,0.24326225,0.24832363,0.26228383,0.27915385,0.29152286,0.29628405,0.2960432,0.29460025,0.29196596,0.2862554,0.27722654,0.26902464,0.2652975,0.2671254,0.27149883,0.27720252,0.28449553,0.29554895,0.30886123,0.321041,0.32700726,0.32477772,0.31499597,0.30174902,0.28998291,0.28473666,0.28899348,0.30204484,0.31907845,0.33309063,0.33956292,0.33714736,0.32637897,0.30631873,0.2768332,0.24125147,0.20680799,0.1807995,0.16580081,0.1605217,0.16037615,0.16315341,0.16787934,0.17741333,0.19192767,0.20835994,0.2184488,0.21480852,0.19541676,0.16562575,0.13673015,0.11934358,0.11815939,0.12821738,0.14051495,0.14858836,0.15237494,0.15378307,0.15442546,0.15608764,0.16449668,0.1841773,0.21273987,0.23800282,0.24839915,0.24154794,0.22667323,0.21435793,0.20917606,0.20824726,0.2077204,0.20700084,0.20703073,0.2068934,0.20269728,0.19292654,0.18131346,0.17448509,0.1761148,0.18285908,0.18912692,0.18993364,0.18549754,0.17759652,0.16980763,0.16458239,0.16272534,0.16159523,0.15605658,0.1441675,0.13083845,0.12707381,0.1393615,0.1638753,0.18751521,0.20080106,0.20313625,0.20263368,0.20561965,0.21429543,0.22457485,0.23166595,0.23080754,0.22245593,0.21082889,0.20249464,0.19984186,0.1999615,0.1974829,0.19050848,0.18340486,0.18250658,0.19053231,0.20250171,0.21073598,0.21025108,0.20331663,0.19562243,0.19194146,0.1928436,0.196229,0.20060688,0.20541878,0.21094705,0.21545969,0.21698324,0.21226822,0.1997179,0.17974347,0.15835607,0.14410047,0.14292169,0.15233378,0.16331917,0.16800947,0.16539328,0.1620651,0.16584484,0.18128175,0.20612378,0.23274267,0.25031886,0.24988276,0.22922091,0.19472001,0.15799576,0.1303267,0.11919687,0.1280483,0.15452224,0.19014998,0.22155641,0.23943107,0.2433682,0.24212162,0.24359839,0.24931677,0.25421655,0.25435093,0.25097042,0.24889737,0.2504547,0.25236702,0.24924655,0.23946138,0.22682135,0.21576242,0.20649387,0.19671778,0.18720049,0.18204927,0.18281506,0.18389405,0.17846556,0.1668527,0.15672944,0.15543942,0.162928,0.17655806,0.19370978,0.21291734,0.22751634,0.22936703,0.21494007,0.1913201,0.1704569,0.16008316,0.15889238,0.16214573,0.16847979,0.17982481,0.19430192,0.20357944,0.20018928,0.18765326,0.18018259,0.19115265,0.2201193,0.25365058,0.2752908,0.27781466,0.2636964,0.24069518,0.21592994,0.19366114,0.17542702,0.15980192,0.14655119,0.13680215,0.1335596,0.13664402,0.14331548,0.15025425,0.15643863,0.16290249,0.1695537,0.17566179,0.17962588,0.18237549,0.18501012,0.18837251,0.18976134,0.18625818,0.17686146,0.16552825,0.15760915,0.1568167,0.16316102,0.17520122,0.19033171,0.2035681,0.20818935,0.2013817,0.18971781,0.18443258,0.1917636,0.2062381,0.21918464,0.22593987,0.22924955,0.22900026,0.22247814,0.2062143,0.1855672,0.1679204,0.15867911,0.15555175,0.15760796,0.16516621,0.17852359,0.1901918,0.19132674,0.1788407,0.15978311,0.14448927,0.13977115,0.14780718,0.16610783,0.18875767,0.20648296,0.2134198,0.21075231,0.20560098,0.20287979,0.20121966,0.19626892,0.18812753,0.18272857,0.18588519,0.19540296,0.20280401,0.2007673,0.19042201,0.17738612,0.16637589,0.15767622,0.15264897,0.15358956,0.16250247,0.1751795,0.18592112,0.19083792,0.19116682,0.1877632,0.17921315,0.16457751,0.14980431,0.14681543,0.1645264,0.19858973,0.23316789,0.2513505,0.24991931,0.24167396,0.25134042,0.2962288,0.37688008,0.46985623,0.5494254,0.598844,0.6234937,0.63338643,0.6368018,0.6320854,0.6175773,0.5935842,0.5624368,0.52380496,0.47489846,0.4160616,0.35465375,0.303341,0.2716885,0.2606177,0.26232973,0.26770374,0.27119088,0.27388445,0.27758673,0.28160957,0.27947766,0.26516253,0.2377469,0.20477508,0.17764008,0.16448277,0.16491985,0.17088604,0.17404169,0.17226784,0.17034829,0.1732678,0.18023549,0.18531863,0.18323092,0.1741029,0.16294412,0.15664305,0.16108184,0.17793721,0.20298292,0.22907078,0.25429276,0.2883496,0.34234092,0.41840324,0.49906144,0.56634074,0.6080937,0.6299987,0.63756233,0.6369491,0.6267763,0.60687685,0.5749903,0.5315488,0.4812845,0.43726477,0.4176142,0.434078,0.4840045,0.5488747,0.608607,0.6492904,0.6689221,0.66998893,0.6575355,0.63516766,0.60557395,0.5701439,0.53091925,0.49276206,0.46567464,0.46066484,0.48531595,0.53324544,0.5891339,0.6325428,0.65383476,0.65140647,0.6314624,0.5968998,0.5498807,0.49220765,0.43019938,0.37156942,0.3229775,0.28740168,0.2646556,0.25261864,0.24728787,0.2445852,0.23972996,0.23066352,0.21795505,0.20776081,0.20641463,0.21584578,0.22924411,0.23582305,0.2285821,0.2086011,0.18408775,0.1645826,0.15682101,0.1617217,0.17563224,0.1927312,0.20835875,0.21941417,0.22399147,0.2192651,0.20352812,0.1781991,0.15197633,0.13644038,0.14067669,0.16257465,0.1912757,0.21225102,0.21809246,0.21110153,0.20134217,0.19780989,0.20200278,0.20697095,0.20277578,0.1845044,0.15667598,0.13020943,0.11493257,0.11273035,0.11974753,0.12996368,0.13983916,0.14567892,0.14481902,0.13583957,0.1227145,0.1136635,0.11792114,0.1383095,0.16749577,0.19067484,0.19620635,0.18341331,0.16340633,0.14951545,0.15026943,0.1678887,0.20399515,0.26268402,0.34368244,0.4380885,0.5262706,0.59327555,0.6317827,0.6472285,0.6462043,0.637178,0.62424546,0.6087408,0.58681923,0.5535125,0.50618076,0.44730785,0.3847305,0.32935965,0.29116544,0.27383766,0.27277663,0.27773872,0.27993762,0.27586064,0.2675117,0.2574241,0.24759448,0.2387775,0.23181836,0.22549044,0.21663721,0.20319612,0.18791364,0.17748974,0.17651391,0.1828534,0.18928236,0.18982024,0.18492384,0.18001153,0.18053927,0.18690763,0.19605856,0.20392214,0.20856269,0.20731635,0.19712235,0.17702062,0.15558474,0.15209584,0.18796118,0.27072278,0.38559806,0.5022219,0.5938451,0.6485578,0.67024475,0.66789246,0.65125805,0.62686974,0.59819245,0.56370133,0.52134067,0.47420263,0.43575284,0.422094,0.4433117,0.49311963,0.5560873,0.6135981,0.6542092,0.67304915,0.6722612,0.6575611,0.6338269,0.60258085,0.5625639,0.5163592,0.47358832,0.44903752,0.45294666,0.483644,0.5261433,0.5618942,0.5763197,0.5647028,0.52787083,0.4715849,0.40308645,0.332618,0.27090415,0.22966088,0.21872182,0.2456549,0.3098215,0.40133548,0.49820903,0.57607526,0.61469465,0.60812956,0.5622789,0.49262258,0.4170386,0.3511723,0.30292964,0.27077147,0.24937046,0.23804666,0.2471453,0.28877422,0.36631632,0.46244094,0.55138594,0.60869837,0.62714535,0.60905147,0.5629818,0.4954969,0.41561726,0.33614862,0.27231652,0.23550643,0.22642483,0.2360282,0.2497545,0.258309,0.26183936,0.27228007,0.30316663,0.36235762,0.44248334,0.5262136,0.59166527,0.62497836,0.62169796,0.58803135,0.5345764,0.47453773,0.41843614,0.37219143,0.33446887,0.30121815,0.2685364,0.23713459,0.20940952,0.18909381,0.17670672,0.16991167,0.1635169,0.15513466,0.1473766,0.1459136,0.15300612,0.16553432,0.17920764,0.1958331,0.22409196,0.27414784,0.34624517,0.4277443,0.49771443,0.5424752,0.5619387,0.56678677,0.566228,0.5630972,0.5560162,0.54377586,0.52607733,0.5018863,0.4703084,0.4319013,0.38928476,0.3448098,0.30040374,0.25838813,0.22434342,0.20321786,0.19670445,0.19888313,0.20332228,0.20484215,0.20335145,0.19725871,0.18499066,0.16471718,0.13913706,0.113058336,0.09166741,0.07688281,0.068022214,0.0624481,0.057878237,0.05313557,0.049313396,0.049478825,0.05786101,0.07687975,0.10499301,0.13638633,0.16498524,0.18813814,0.20728485,0.22534364,0.24571879,0.27487084,0.321718,0.39004835,0.4695579,0.5384879,0.5789757,0.59019893,0.58565617,0.5794299,0.57531613,0.56980044,0.5578802,0.5382459,0.51163614,0.48292956,0.46248946,0.46055362,0.47687307,0.4907291,0.47680107,0.42285275,0.3467079,0.27640298,0.23184395,0.20903178,0.19578594,0.18362208,0.17619467,0.18069494,0.20466127,0.25424233,0.33221424,0.43150982,0.5318783,0.6120382,0.66205734,0.68610495,0.68852645,0.6655895,0.61213547,0.53353894,0.4475491,0.3723062,0.3158053,0.27504784,0.24255846,0.21357512,0.18889667,0.174773,0.1785996,0.20144276,0.23399125,0.25904152,0.26374403,0.2471841,0.22105531,0.1984129,0.1863424,0.18306766,0.18420506,0.1857756,0.18573332,0.18170957,0.17298461,0.16246624,0.15572886,0.15630192,0.16185594,0.16846336,0.17449456,0.18226643,0.19243734,0.20293783,0.21090561,0.21670508,0.22212379,0.22714873,0.23079932,0.23736437,0.26078328,0.31511295,0.4010196,0.4968451,0.57398075,0.6141341,0.62052304,0.6065345,0.58384436,0.5560302,0.52179146,0.47824535,0.42433432,0.36546615,0.31842294,0.30535927,0.33930162,0.40860176,0.4816288,0.52627105,0.5316353,0.5094097,0.48113096,0.462649,0.46068275,0.474509,0.5000475,0.5304785,0.560462,0.5876162,0.6126791,0.63286424,0.64196634,0.63368887,0.61129177,0.5848437,0.56556946,0.55581886,0.55185765,0.5476931,0.5400719,0.5262489,0.50278324,0.4665997,0.4182949,0.3635322,0.3108419,0.2686359,0.24230522,0.23332351,0.23721205,0.24533804,0.24720265,0.2380832,0.22029674,0.20224833,0.18991107,0.18331778,0.17687558,0.16540416,0.14868219,0.13082556,0.11671963,0.10786138,0.1027261,0.098468445,0.09377623,0.089916565,0.09105423,0.102010965,0.12410277,0.15186591,0.17476375,0.18479683,0.18261863,0.17753525,0.18045802,0.1994899,0.23893459,0.30024046,0.37755385,0.4567043,0.5193545,0.55596095,0.5691982,0.57089996,0.57008845,0.56973785,0.5669244,0.55718523,0.5361509,0.50231403,0.4620799,0.4322913,0.43155876,0.4649936,0.515799,0.55823034,0.57742435,0.57761025,0.5719541,0.5678138,0.5646179,0.557915,0.5451357,0.5247818,0.49880895,0.4760206,0.4718363,0.4976007,0.549276,0.6073105,0.65268403,0.6769228,0.68242645,0.66863245,0.63324314,0.5747224,0.50196046,0.4266853,0.36066046,0.30906487,0.27367896,0.25087228,0.23415093,0.21709631,0.199528,0.18852367,0.1914295,0.20927525,0.23346765,0.25428796,0.26416168,0.26189753,0.24789672,0.2264045,0.20369665,0.18722795,0.18047543,0.18101324,0.18428816,0.18795101,0.19471957,0.20735152,0.22543854,0.24391961,0.25860482,0.2689587,0.27853122,0.29029664,0.3062979,0.32843944,0.36272156,0.41062346,0.46475205,0.50451374,0.51844436,0.5126707,0.5119807,0.5312224,0.56602454,0.59686404,0.6101682,0.6051037,0.58892924,0.5678754,0.54333544,0.51278645,0.47286865,0.42417946,0.37626615,0.34693173,0.35085034,0.38552055,0.42661157,0.4444953,0.42455366,0.37676707,0.3221484,0.2771134,0.24566872,0.22600259,0.21452516,0.2086472,0.20687294,0.21469335,0.24463029,0.3058704,0.39096904,0.47404584,0.53044397,0.55311364,0.55498767,0.5521455,0.5517996,0.5519503,0.54828846,0.53908366,0.52328414,0.49882802,0.4626036,0.41401517,0.35716775,0.3003206,0.25270167,0.22179313,0.20959707,0.21161504,0.21728636,0.21815717,0.21214087,0.20432903,0.19797735,0.19101273,0.17725623,0.15443389,0.12637989,0.10062713,0.082947634,0.07594612,0.08032284,0.09499327,0.116040766,0.13599682,0.14904709,0.15539397,0.16163796,0.17371017,0.1908005,0.20647359,0.21441633,0.21310605,0.20474418,0.1948713,0.1938784,0.21649264,0.2713185,0.35075244,0.43119383,0.4916408,0.5257446,0.54219896,0.5502795,0.554408,0.5545833,0.5502951,0.53987044,0.5212299,0.49565482,0.47163048,0.46099004,0.47054124,0.49478364,0.52003604,0.5330155,0.527383,0.5027711,0.4625516,0.41399384,0.36705485,0.3296913,0.30314234,0.28508952,0.27760586,0.29202163,0.3387864,0.41580427,0.5022617,0.5751557,0.623043,0.6499569,0.6606362,0.6511261,0.614635,0.5521682,0.47748747,0.40733448,0.35356596,0.31853417,0.29782736,0.28374293,0.26935402,0.25174782,0.23258239,0.21537234,0.2009921,0.18650599,0.16825484,0.14822346,0.13415128,0.13537307,0.15432481,0.18567233,0.21914263,0.24621053,0.2622927,0.26664928,0.26047033,0.24739213,0.23310716,0.22466998,0.22485417,0.23197317,0.24025767,0.24748461,0.25396457,0.26319352,0.2772356,0.30043808,0.3364005,0.38510558,0.43625352,0.4758862,0.49827966,0.51231575,0.5322656,0.5616901,0.5915541,0.6095369,0.6117297,0.60126114,0.58200395,0.55505514,0.52055293,0.4797746,0.43606177,0.39564696,0.3701392,0.37231374,0.40640518,0.45979986,0.5082865,0.53360516,0.534089,0.52101177,0.5034756,0.48167917,0.45071554,0.40921256,0.36219525,0.31927893,0.29145256,0.29065335,0.3250455,0.3932735,0.47802475,0.55349094,0.5984185,0.6094586,0.5980917,0.58041,0.56568295,0.55518013,0.5450748,0.53087395,0.5087046,0.47615528,0.4328843,0.3820289,0.32991156,0.2848629,0.2538757,0.24106508,0.24357955,0.25237432,0.25321564,0.23710229,0.20423079,0.16553475,0.13246012,0.111400396,0.10075024,0.09591189,0.093172975,0.09231991,0.09505537,0.10309281,0.11613407,0.13260031,0.14925796,0.16310114,0.17219591,0.17918998,0.18889654,0.20437874,0.22164208,0.23257262,0.2314793,0.21990742,0.20624797,0.20193684,0.2201231,0.27028385,0.35063615,0.44274545,0.5197821,0.5646048,0.5785534,0.57596827,0.5688906,0.56226724,0.5554752,0.5464123,0.5312523,0.50702775,0.4769647,0.4545261,0.45490173,0.48310232,0.5259058,0.5635311,0.5834821,0.5874869,0.58355385,0.5770077,0.5694282,0.5599459,0.54752797,0.5294116,0.505451,0.481293,0.4701464,0.48321688,0.5204674,0.5668805,0.6049542,0.6259499,0.6327903,0.62806666,0.60867554,0.5684214,0.50958353,0.44273758,0.38172913,0.3360187,0.31309518,0.3220022,0.36793184,0.4432927,0.5218933,0.5763764,0.59392005,0.587008,0.5768368,0.5802956,0.5979999,0.6218266,0.63984555,0.6449968,0.6363043,0.6193629,0.6043249,0.5986941,0.6066966,0.623725,0.6449003,0.6618181,0.6712003,0.66964936,0.65880924,0.63944155,0.613156,0.579861,0.5398374,0.49323753,0.44079372,0.38471475,0.33145002,0.29374638,0.28761542,0.32323286,0.39248523,0.47018686,0.52654654,0.5488457,0.54347247,0.5266329,0.50605816,0.47974214,0.44268122,0.39642835,0.3492739,0.31123245,0.29173172,0.2991419,0.3379132,0.3990644,0.4552064,0.4731321,0.436784,0.3620125,0.2835704,0.23172276,0.2147941,0.22387958,0.24284351,0.25903484,0.26508906,0.26147398,0.25354636,0.2493974,0.25291643,0.26263806,0.27211544,0.27685806,0.27727354,0.27799365,0.28209373,0.28733635,0.28935647,0.28594932,0.28137407,0.2816938,0.2907718,0.30514145,0.3171259,0.31963286,0.3114023,0.29685965,0.28256214,0.2739476,0.27342716,0.28059268,0.291751,0.3021933,0.30738482,0.30687666,0.30213347,0.2972659,0.29467645,0.297879,0.3079832,0.32429603,0.34078494,0.3507618,0.3506483,0.34336814,0.33430156,0.32669494,0.31930053,0.309702,0.2974946,0.2852383,0.27570173,0.2697293,0.2669065,0.2670348,0.27122834,0.27890825,0.28642723,0.28691387,0.275806,0.25516698,0.23405792,0.22177319,0.22020002,0.22263618,0.22003643,0.20894386,0.1933936,0.18056922,0.17539056,0.17762293,0.18341638,0.18716127,0.1848973,0.17594768,0.1645649,0.15813325,0.16247596,0.17713411,0.19335,0.20062453,0.19423522,0.18133767,0.17446361,0.18230069,0.20166765,0.2224911,0.23585306,0.2401277,0.23887704,0.23582788,0.23288304,0.22838569,0.22104995,0.20988984,0.19885735,0.1909316,0.18785287,0.1859225,0.1844086,0.18463995,0.19008772,0.19827898,0.20377694,0.20213385,0.19338524,0.1805527,0.16648172,0.15705681,0.158132,0.17277889,0.19299805,0.20519094,0.19899894,0.17650719,0.14904518,0.12790549,0.11877779,0.12040603,0.12813357,0.13487004,0.1361769,0.1332054,0.13213871,0.13790949,0.14925587,0.16223203,0.174349,0.18692571,0.2004024,0.2135484,0.22384977,0.23004214,0.23112524,0.22586483,0.21361427,0.19656272,0.18079932,0.17333804,0.17786197,0.1902958,0.20114718,0.2007064,0.18682902,0.16687219,0.15383743,0.15772045,0.17680801,0.1990066,0.2091737,0.20255078,0.18590905,0.17241661,0.16867334,0.17150074,0.17184986,0.16449995,0.15223964,0.14190371,0.13813691,0.14054875,0.14701499,0.1558622,0.16621144,0.17704071,0.18847527,0.20173539,0.21706061,0.23110634,0.23812026,0.23421355,0.22082482,0.20541894,0.19601136,0.196636,0.20313263,0.20997302,0.21359931,0.21648766,0.21996541,0.22352783,0.22365375,0.21821697,0.20771004,0.19633074,0.1912532,0.19752102,0.2128043,0.22645788,0.22700375,0.21147537,0.18788308,0.1697881,0.1676269,0.18281211,0.207178,0.22667886,0.229743,0.21445829,0.18974455,0.16900907,0.16046648,0.16459717,0.1763611,0.19156833,0.2068804,0.21921949,0.22523373,0.22447728,0.2197424,0.21326727,0.20350431,0.1872803,0.16600059,0.14780416,0.14265282,0.15457511,0.17772408,0.19982396,0.20897251,0.2003334,0.17850746,0.155432,0.14407283,0.15000351,0.16801763,0.18554825,0.19319004,0.19083375,0.18584234,0.18446553,0.18589424,0.18502791,0.17886285,0.17146724,0.16947849,0.17579277,0.18495421,0.1889779,0.18388046,0.17323881,0.16281371,0.15655391,0.15609525,0.16330533,0.1793977,0.20206045,0.22412138,0.2368515,0.23405816,0.21718617,0.19512756,0.18200636,0.18705261,0.20946638,0.23597348,0.25149453,0.24675585,0.22542143,0.19811396,0.17652428,0.16533636,0.16264643,0.1624678,0.16034098,0.155097,0.1482492,0.14161032,0.1372733,0.1386788,0.1494416,0.16958557,0.19289677,0.21097368,0.21992457,0.2237048,0.2292171,0.23905854,0.24885605,0.25227216,0.24776565,0.2407514,0.23929024,0.24774694,0.26438832,0.28249487,0.29490134,0.29585811,0.28388593,0.26200008,0.23817265,0.22030653,0.21107197,0.20632291,0.20143394,0.19700961,0.1982318,0.20764713,0.22236796,0.23613495,0.2456836,0.25193456,0.2592984,0.27023572,0.28242776,0.28836033,0.2812769,0.26074493,0.23397411,0.21015249,0.19451727,0.18649818,0.18327694,0.1825524,0.18237953,0.18000601,0.17390518,0.16683954,0.16702622,0.18392313,0.22482754,0.28918985,0.36837158,0.44594827,0.50702363,0.5450574,0.5644051,0.57399577,0.5796594,0.58210146,0.57881975,0.5685087,0.5514272,0.52785426,0.4965947,0.45643643,0.4096096,0.36178944,0.31987038,0.28811547,0.26881137,0.2618024,0.2652254,0.27244863,0.27442482,0.26292524,0.23717636,0.2052408,0.18056779,0.17445569,0.18855421,0.21352805,0.23373418,0.23706113,0.22259498,0.20082122,0.18636216,0.1864469,0.19670402,0.20539112,0.20564324,0.19993259,0.19558823,0.19406122,0.18990137,0.17746955,0.15934294,0.14539015,0.14768863,0.17558508,0.23272578,0.31315285,0.4004122,0.4745122,0.52357066,0.54836464,0.5578308,0.55999655,0.5586536,0.5535844,0.54237944,0.52293026,0.49621382,0.47063413,0.45888814,0.46806565,0.48785856,0.49256054,0.4603428,0.39101246,0.30672425,0.2333187,0.18592466,0.16600007,0.16696312,0.1767708,0.18268484,0.18078148,0.18541443,0.22123814,0.30187505,0.4132345,0.52272654,0.604606,0.65295774,0.6747512,0.67126656,0.638681,0.5746647,0.48911384,0.3973882,0.31561372,0.2545535,0.22056723,0.21308911,0.2247502,0.24476151,0.26492324,0.28220615,0.2936295,0.2927643,0.27130452,0.22876607,0.17611623,0.13148195,0.10950319,0.113517046,0.13566616,0.1604651,0.17517416,0.17597072,0.172312,0.17802209,0.20164947,0.23790681,0.271212,0.28528178,0.2734636,0.24316509,0.21038735,0.19086201,0.19056904,0.20510024,0.22355819,0.23626876,0.23983814,0.24056554,0.25360978,0.29540357,0.37074736,0.46454597,0.54865074,0.60022926,0.61480427,0.6037398,0.58112353,0.5548733,0.5263701,0.49357498,0.45393977,0.40744087,0.36255977,0.33834323,0.35376862,0.41196606,0.4891858,0.55322,0.5840473,0.5909987,0.59331447,0.6046347,0.62012035,0.6304335,0.6294734,0.62046796,0.61080784,0.6084466,0.6176186,0.6342681,0.6473715,0.64465165,0.6241091,0.5949693,0.57097507,0.55919605,0.5571713,0.55737764,0.55245733,0.53857905,0.5146537,0.48134193,0.43903038,0.38835132,0.33187994,0.27625957,0.23067307,0.2040028,0.19900678,0.21154612,0.23066247,0.24618976,0.25107783,0.24411333,0.22624171,0.20134026,0.17484768,0.15244426,0.13652201,0.12616451,0.12097094,0.12250218,0.13200466,0.14547145,0.15610735,0.15931536,0.15754871,0.15671705,0.16112901,0.16971046,0.1774441,0.17870416,0.17016828,0.15294737,0.13307396,0.12307513,0.13954715,0.19742441,0.29633975,0.414847,0.517899,0.5796966,0.598854,0.59304625,0.5822072,0.5749181,0.57135177,0.56589127,0.55184215,0.52250856,0.48004878,0.43934786,0.422207,0.44041526,0.48548722,0.53434527,0.56812334,0.58188033,0.583227,0.5799622,0.57649976,0.5717573,0.5633686,0.54763633,0.52425927,0.4981744,0.48206043,0.48767015,0.51766795,0.5592241,0.5963193,0.62166286,0.64059716,0.6561768,0.6600647,0.6376535,0.5851713,0.5137239,0.44206175,0.3821156,0.3372914,0.3026303,0.27193412,0.24074285,0.21235883,0.19609451,0.20043038,0.22450753,0.25645587,0.28067753,0.28605992,0.2699778,0.23746549,0.19795984,0.16393314,0.14611381,0.15000655,0.17169529,0.20168798,0.23020524,0.2530013,0.26938125,0.28051233,0.2863076,0.28850266,0.28946564,0.29325566,0.30123678,0.3127568,0.32556748,0.34190297,0.36693898,0.40327528,0.44222713,0.47118843,0.48632148,0.49941,0.52392894,0.5594395,0.5916109,0.60672826,0.60327125,0.58815694,0.5675408,0.541732,0.50739354,0.46222305,0.40860903,0.35644054,0.3221551,0.3217287,0.35759088,0.40994522,0.44395888,0.43222404,0.37456486,0.2961228,0.22798096,0.18694957,0.17195453,0.1714978,0.17414325,0.17543705,0.17943285,0.19845569,0.24400908,0.31883696,0.40931293,0.49286112,0.5503939,0.5772557,0.5816169,0.5751763,0.56608194,0.5565226,0.54486847,0.52753955,0.50206167,0.46839607,0.42814186,0.3824463,0.3324292,0.2833746,0.24610771,0.23281068,0.246206,0.27613232,0.3034449,0.31380102,0.30275202,0.2764686,0.24391495,0.21389882,0.19175111,0.17911923,0.17483145,0.17604603,0.17932983,0.17867239,0.16822349,0.14665209,0.12190277,0.107162856,0.11139667,0.13213663,0.15737064,0.1761225,0.18560082,0.19126284,0.19844402,0.20846747,0.22036994,0.23744082,0.268801,0.321461,0.39210367,0.46366802,0.5188888,0.54994327,0.5631245,0.56709003,0.5670266,0.5631817,0.5560129,0.5460653,0.53197354,0.5117328,0.4878509,0.47184917,0.47585174,0.5026926,0.53745836,0.5603217,0.5567424,0.5273657,0.4794633,0.4241315,0.37043703,0.3258714,0.29149482,0.26465026,0.24515772,0.24230008,0.27164733,0.33974782,0.43525258,0.52918524,0.59691685,0.6279239,0.6298275,0.6110324,0.5769295,0.5279812,0.46890596,0.40669975,0.34997964,0.3034557,0.2689846,0.24357773,0.22310881,0.20477188,0.19099347,0.1869805,0.19402665,0.20693202,0.21582264,0.2162296,0.20890927,0.19814755,0.18392223,0.16581596,0.1459562,0.12992094,0.12061704,0.11541728,0.11158639,0.11107295,0.11895985,0.13427512,0.14789556,0.1497327,0.13920884,0.12609899,0.12158873,0.12995465,0.1495713,0.18096854,0.23084617,0.3028393,0.38780937,0.46231577,0.50917625,0.5295178,0.5421868,0.56098515,0.5848153,0.60263187,0.6072974,0.6002491,0.5850399,0.56303006,0.53250104,0.49103963,0.43695864,0.37247932,0.309904,0.27169624,0.27931058,0.33462277,0.4136772,0.48099056,0.5146105,0.5153185,0.49739382,0.4704505,0.4354013,0.389225,0.33289456,0.27195883,0.21404828,0.16667932,0.1357312,0.12473386,0.13226882,0.15153354,0.17199023,0.18494223,0.18725435,0.18135601,0.17178379,0.16295558,0.15945677,0.16565157,0.18304412,0.207132,0.22852628,0.2381311,0.23199694,0.21277797,0.18726592,0.16397618,0.14934506,0.14519538,0.14709346,0.1481912,0.14399956,0.13505363,0.124269105,0.11359347,0.103021204,0.09226623,0.081997894,0.0737497,0.06874713,0.06734056,0.068632044,0.07085221,0.07186615,0.07040074,0.06751268,0.067167886,0.0746968,0.09266776,0.1183138,0.14464435,0.16602637,0.18171258,0.19480245,0.20798583,0.22104867,0.23296084,0.24319696,0.25184748,0.25685444,0.25568566,0.2483126,0.23900683,0.23229003,0.2283412,0.22375083,0.21659715,0.2091858,0.20435621,0.20098813,0.1944078,0.18167466,0.16524072,0.15177727,0.14696029,0.15205814,0.16376078,0.17779367,0.19063944,0.19956236,0.20187443,0.1968568,0.18838878,0.18326253,0.18698043,0.19921441,0.21604903,0.23299553,0.24789421,0.25952065,0.26740694,0.27183113,0.27296028,0.26884726,0.2558479,0.23353155,0.2089488,0.19356053,0.19494803,0.2094808,0.22515379,0.22928597,0.21802412,0.19805346,0.18335031,0.18516178,0.20438606,0.2292037,0.24395508,0.24007064,0.22213382,0.20227464,0.19037127,0.18816726,0.1911359,0.19472732,0.19619544,0.1942508,0.18614568,0.17161477,0.15423514,0.14175095,0.13914281,0.1461648,0.15855737,0.17253627,0.18596333,0.19679074,0.20316418,0.20499821,0.20587635,0.21020322,0.21961994,0.22959155,0.23315196,0.22528602,0.2083299,0.18892996,0.17497833,0.1705591,0.17643194,0.18968411,0.20558846,0.21963489,0.23007093,0.23727693,0.24052136,0.23646277,0.22304785,0.20375903,0.18740755,0.1816399,0.1883076,0.20347743,0.2212897,0.2360871,0.24324636,0.24029453,0.22901146,0.21467723,0.20251621,0.19412814,0.18846315,0.18512118,0.1860473,0.19318217,0.20487459,0.21533175,0.21775301,0.20936626,0.193042,0.17541265,0.16288835,0.15971048,0.16803855,0.18633719,0.20889665,0.22556277,0.229348,0.21995042,0.20560749,0.19505131,0.19363403,0.20146914,0.21615298,0.23383053,0.24874882,0.25553703,0.25166,0.23997803,0.22621529,0.21492565,0.2071724,0.20092316,0.19430542,0.18655504,0.1784692,0.17143886,0.16693513,0.16627844,0.16850965,0.17129402,0.1717034,0.17109413,0.17301165,0.18012331,0.18828201,0.1907839,0.18455072,0.17543423,0.17270844,0.1816597,0.19940555,0.2191153,0.23471816,0.24330266,0.24307935,0.23401439,0.2185847,0.20304155,0.19326858,0.19187152,0.19731025,0.20669158,0.21713042,0.2249034,0.2266454,0.22125989,0.21282685,0.20624577,0.20396857,0.20215584,0.19705065,0.18718763,0.17638558,0.16723569,0.16143453,0.15937454,0.16263719,0.171005,0.18060215,0.18787879,0.19309853,0.2016164,0.2157502,0.23290493,0.24646479,0.25364807,0.25539175,0.2553219,0.25520137,0.2566842,0.25979456,0.26366165,0.26452762,0.2601198,0.25119823,0.24171142,0.23329306,0.22396956,0.21109992,0.19697164,0.18831931,0.19105406,0.20454143,0.22265822,0.23766811,0.24434972,0.23997231,0.22521485,0.20409311,0.18422937,0.1721249,0.16979899,0.17283046,0.17638953,0.1792285,0.18548824,0.19820249,0.21650231,0.23537357,0.25131604,0.26357543,0.27406153,0.2837683,0.2919451,0.2956339,0.2914844,0.27754584,0.25492707,0.2285219,0.20541556,0.19159257,0.18830152,0.19205385,0.19758038,0.20151894,0.20326973,0.20466931,0.2086546,0.21774231,0.23180933,0.24727719,0.25917876,0.26367727,0.2593998,0.24666554,0.22785334,0.20831235,0.19584376,0.19624789,0.20865889,0.22459935,0.23401351,0.231618,0.22000009,0.20557803,0.19401675,0.18818952,0.19166517,0.21169262,0.25800338,0.3322091,0.4230776,0.5069385,0.56692165,0.59813714,0.6117112,0.61678076,0.6189477,0.6155644,0.6049948,0.5851958,0.5551307,0.51273316,0.45795286,0.39480066,0.33185363,0.27903062,0.2438805,0.22834855,0.22744846,0.23138495,0.23049442,0.22203344,0.20985125,0.2002572,0.19433962,0.18869507,0.17830725,0.16200905,0.14190502,0.12226126,0.107118435,0.10002472,0.10336986,0.11661432,0.13523984,0.15151125,0.16037054,0.16300388,0.16647547,0.17612149,0.19119442,0.20569684,0.21412693,0.21415567,0.20715381,0.19959311,0.20570712,0.24309321,0.31934667,0.4222645,0.52437437,0.6024639,0.64756155,0.66541755,0.6641705,0.6513505,0.6305323,0.6028634,0.5661581,0.51911294,0.46784785,0.4293156,0.42406186,0.46050096,0.5249451,0.58883834,0.6302094,0.64549917,0.64766365,0.64767915,0.6484988,0.64284974,0.6245358,0.5907559,0.5462502,0.50099635,0.4698567,0.46603727,0.49410418,0.544234,0.59762025,0.6356011,0.6493413,0.63929874,0.61100674,0.56946355,0.51800233,0.46024773,0.40129018,0.3479323,0.30600333,0.27852544,0.26358926,0.25548473,0.24765353,0.23745658,0.22478221,0.21017967,0.19090791,0.16772176,0.14625718,0.13764928,0.14833869,0.1767361,0.21390636,0.24934511,0.27497658,0.28571904,0.280743,0.26358414,0.24230857,0.22614802,0.22088404,0.22590768,0.2357567,0.24515164,0.25268114,0.260398,0.27008677,0.28078946,0.28909692,0.29269922,0.29235834,0.29399815,0.30610713,0.33902907,0.39635527,0.4733348,0.55237985,0.61623365,0.6523078,0.6610668,0.6466902,0.61543965,0.57137513,0.51899046,0.46303478,0.40901256,0.36580658,0.34666303,0.36451638,0.4225594,0.5056499,0.58742374,0.6429956,0.6643744,0.6570895,0.63250154,0.59668237,0.5522621,0.50024825,0.44455263,0.39102307,0.3497468,0.33293554,0.35071543,0.4025979,0.47531858,0.54844564,0.60546464,0.6397155,0.65396076,0.65412164,0.64487237,0.6274232,0.6010936,0.56559086,0.5214111,0.47021356,0.41421974,0.35817075,0.30883083,0.27357614,0.2572943,0.25855938,0.2694705,0.277334,0.27398887,0.2594525,0.24249345,0.2309043,0.22710806,0.22658522,0.22402684,0.2166906,0.20678401,0.19811867,0.19328196,0.19104241,0.18899798,0.1862521,0.18466492,0.18657653,0.1929336,0.20322134,0.21599853,0.22882694,0.23779415,0.23932207,0.23239942,0.22024204,0.20988087,0.21128027,0.2369529,0.2943171,0.3797995,0.47273788,0.55097157,0.60090643,0.62735796,0.63858557,0.6409111,0.63344604,0.61617285,0.5891042,0.5531185,0.5105282,0.46994433,0.44719636,0.45536327,0.49568167,0.551055,0.60165524,0.63291,0.64670837,0.6476255,0.64210314,0.6299543,0.611842,0.5858233,0.55234617,0.5136976,0.4800303,0.46371877,0.4751794,0.5103681,0.55499953,0.58713394,0.591945,0.5632291,0.50742143,0.43746638,0.36923793,0.31466946,0.27884355,0.2616332,0.2627881,0.28577194,0.33259705,0.3965011,0.46011218,0.50535417,0.52343327,0.5136162,0.47800598,0.41892973,0.34687927,0.27934185,0.23329236,0.21322386,0.21341605,0.22864442,0.26284456,0.32261917,0.40505454,0.49205375,0.56213,0.6019077,0.61113065,0.5933307,0.55223405,0.49220657,0.4240528,0.36167732,0.31547502,0.28614715,0.26785216,0.25343817,0.24019845,0.23111849,0.23585145,0.26682296,0.33058217,0.4202753,0.515109,0.5923772,0.63715917,0.6476856,0.6287196,0.5865615,0.5261133,0.45349714,0.37772083,0.30922905,0.25670645,0.2242886,0.21101014,0.21193047,0.21969895,0.22754033,0.23040454,0.22642463,0.21635954,0.20461649,0.19699705,0.19799574,0.20707516,0.22047156,0.23500931,0.25338337,0.28422236,0.3371067,0.411999,0.4942162,0.56053495,0.59578604,0.60161847,0.592288,0.5807732,0.5726135,0.5666806,0.5602052,0.549643,0.53164726,0.50368786,0.4663323,0.4231101,0.37957087,0.34135687,0.31270447,0.29594687,0.28892422,0.28645945,0.28102076,0.270085,0.25532052,0.24221498,0.2331388,0.22815585,0.2253929,0.22367845,0.22194396,0.21984152,0.21777529,0.21644334,0.21418554,0.20667851,0.18945807,0.16323967,0.13587922,0.11845534,0.11774156,0.13123558,0.14995493,0.1655876,0.17614456,0.18454824,0.19581114,0.21524863,0.2512693,0.31001332,0.38813818,0.4675574,0.52727455,0.55866766,0.5695885,0.57350254,0.57584333,0.5744596,0.5659904,0.5510405,0.5309576,0.5061647,0.47900543,0.45836607,0.45262417,0.4598945,0.4605426,0.43490234,0.37836727,0.3105367,0.25455981,0.22180098,0.20524961,0.19428419,0.18476631,0.18135083,0.1912845,0.22234218,0.28251854,0.37358236,0.48300496,0.58249635,0.64743876,0.6707098,0.6659107,0.6453886,0.6124482,0.5612798,0.4947959,0.4236972,0.36263713,0.3162968,0.28167036,0.25083843,0.22077326,0.19475186,0.18242534,0.19156408,0.22025855,0.25367108,0.27273825,0.2675228,0.24383183,0.21708365,0.19983041,0.19473223,0.1964237,0.19882923,0.19882233,0.19590521,0.18916108,0.17855339,0.16688322,0.15935229,0.15942615,0.16548459,0.17475875,0.18552549,0.19869368,0.21265884,0.22461836,0.23180263,0.23429555,0.23303805,0.22934538,0.22782542,0.23984309,0.28024343,0.35556352,0.4534146,0.5460582,0.60757375,0.62982434,0.62249583,0.6007132,0.5736403,0.54310924,0.5063613,0.46005392,0.403816,0.34729192,0.31213093,0.32009777,0.3751087,0.45221147,0.5167341,0.54842377,0.55717367,0.5641424,0.5812158,0.6021723,0.61645633,0.6209313,0.6197327,0.6171232,0.613842,0.6101251,0.60634637,0.6018352,0.5936256,0.5808452,0.5676076,0.56052357,0.56203127,0.5675145,0.5697929,0.56442875,0.5510159,0.52977824,0.49941778,0.45841524,0.408142,0.35427558,0.30560073,0.2702747,0.2530562,0.2523463,0.26136717,0.26961932,0.26895148,0.2567934,0.23795433,0.21964572,0.20616399,0.1959703,0.18452197,0.169127,0.15143001,0.13548748,0.124416895,0.118128784,0.114387475,0.110295355,0.10481334,0.09996105,0.10157282,0.11533421,0.14139159,0.17054357,0.19006567,0.19328304,0.18606216,0.18097435,0.19005309,0.22000699,0.27687046,0.359555,0.45604157,0.53875613,0.5858576,0.59392023,0.58204204,0.5704337,0.56744146,0.5681572,0.56431675,0.55081195,0.52536076,0.49053928,0.45582175,0.43827948,0.4496558,0.48659834,0.5284657,0.55677634,0.5657428,0.56476927,0.56243724,0.56166476,0.55932426,0.55285954,0.54013276,0.5196836,0.49394944,0.4734219,0.47294852,0.49921656,0.54311067,0.5856314,0.6141729,0.6268037,0.6270125,0.61261874,0.58026904,0.53017795,0.47022414,0.40892592,0.35276994,0.30551764,0.2699184,0.24532412,0.22692008,0.2094279,0.19323523,0.18531172,0.19178008,0.21117067,0.23357058,0.24918704,0.25276995,0.24507123,0.22845115,0.20721199,0.18727125,0.17454799,0.17122965,0.1737621,0.17774384,0.18193215,0.18987776,0.2040867,0.22299932,0.24190564,0.25785935,0.27082244,0.2813404,0.2889961,0.2949244,0.30581748,0.33101293,0.37391463,0.4241649,0.46433032,0.48585674,0.49767503,0.51657987,0.547658,0.5808635,0.60122174,0.6038348,0.5927096,0.57434857,0.55143106,0.5241835,0.4913422,0.45257413,0.41114917,0.37848496,0.3708063,0.39565894,0.43964636,0.47056964,0.4622772,0.41276994,0.3452815,0.28547648,0.24630193,0.22608845,0.21745896,0.21366453,0.21002673,0.2082269,0.21825999,0.25615716,0.32901272,0.42455545,0.51299924,0.5687687,0.58684397,0.58296245,0.57562214,0.5726801,0.57115394,0.565289,0.5519107,0.5290874,0.49519143,0.44982874,0.39659667,0.34193698,0.29321238,0.2557392,0.23349549,0.22558694,0.2270249,0.22786796,0.22299725,0.21304445,0.20478524,0.20022763,0.19600643,0.18558173,0.16749226,0.14588507,0.1266409,0.11328515,0.10669064,0.10811096,0.11791703,0.13387175,0.14942051,0.15948857,0.16444607,0.1704248,0.18198986,0.19767302,0.21134569,0.21794869,0.2161461,0.20817216,0.20015348,0.20590954,0.24189317,0.31615138,0.41374528,0.50493914,0.5629346,0.58377147,0.5807374,0.57161117,0.5646267,0.56012726,0.5532234,0.5394234,0.5166244,0.49000072,0.4721793,0.47490504,0.49951208,0.53100115,0.5516858,0.549997,0.52841395,0.49253812,0.4493107,0.40344238,0.3610909,0.32567933,0.29791328,0.27853152,0.274861,0.30079365,0.3653773,0.46068397,0.559799,0.6346285,0.67275816,0.6797442,0.6652215,0.631602,0.5789016,0.5114874,0.44137916,0.37917426,0.33070776,0.29550338,0.2711735,0.25396794,0.24050057,0.22807129,0.21660507,0.20610102,0.1954738,0.18078536,0.16124962,0.14125322,0.13044338,0.135881,0.15807475,0.19075869,0.22495162,0.2524334,0.26733807,0.2675006,0.2551494,0.23738448,0.22321182,0.21947782,0.22565825,0.2361237,0.2443229,0.24954928,0.25454617,0.2632362,0.2778678,0.30287346,0.34254345,0.3957367,0.45031667,0.49212107,0.51867336,0.54186416,0.5738664,0.61096495,0.6383484,0.644425,0.63150066,0.6080505,0.579967,0.5476567,0.5101704,0.467654,0.4228133,0.3827242,0.36015287,0.36653423,0.40263864,0.4532492,0.4971714,0.52043825,0.52314395,0.5124778,0.49339545,0.46584567,0.42929602,0.3871552,0.34633967,0.3158501,0.30508265,0.32387114,0.3735439,0.44370046,0.5108585,0.5567439,0.5753873,0.57683563,0.5720251,0.56804824,0.5646322,0.5597017,0.5497226,0.5319404,0.50384325,0.46491346,0.41624784,0.3618671,0.30804893,0.26324934,0.2354572,0.22888501,0.23936653,0.25463483,0.26047862,0.25085598,0.23088735,0.21137549,0.19893138,0.19309156,0.18987381,0.18694282,0.18420325,0.1813914,0.17722405,0.17081033,0.16355558,0.15799756,0.15546685,0.15575875,0.15936275,0.16921403,0.18730067,0.21057062,0.2300529,0.23738664,0.23079215,0.21644892,0.20485274,0.20702899,0.23394638,0.29007497,0.36893192,0.44964436,0.5116009,0.5455261,0.5584336,0.5611935,0.5604647,0.5570268,0.5506664,0.5402198,0.52353287,0.499477,0.47469583,0.4632829,0.4762281,0.51016665,0.54670423,0.56966275,0.57547426,0.5733202,0.5707805,0.5691239,0.5652743,0.55716205,0.54385966,0.525091,0.50345033,0.4875853,0.48824906,0.5101157,0.54511327,0.5793554,0.6047086,0.62334055,0.63813764,0.6425816,0.6237077,0.575604,0.506826,0.43512717,0.37479925,0.33359876,0.3161222,0.3293518,0.37588653,0.44599447,0.5178764,0.57172626,0.603799,0.6227088,0.6385779,0.6515198,0.658048,0.6554888,0.6467166,0.6351035,0.6234881,0.614397,0.61121505,0.61632997,0.62770826,0.63998604,0.6485849,0.653305,0.6557523,0.65572673,0.6495841,0.6341069,0.60813254,0.57339096,0.5310045,0.48197988,0.427013,0.37011555,0.3195427,0.28904915,0.29245946,0.33483645,0.40400758,0.47461239,0.52254015,0.5398924,0.5345375,0.5186977,0.49684086,0.46642637,0.4258214,0.3797245,0.33697402,0.30551228,0.29308614,0.30881882,0.3562354,0.42229524,0.47340694,0.47773588,0.42704335,0.34650397,0.27187335,0.22787076,0.21671693,0.22725154,0.24503918,0.25892803,0.26291326,0.25720719,0.2476458,0.24214752,0.24509753,0.25480345,0.26426712,0.2667397,0.25916058,0.24448799,0.22891784,0.21886964,0.2175252,0.22345956,0.23232602,0.23904353,0.24153541,0.2404207,0.23840588,0.23748863,0.2384346,0.24104424,0.24475525,0.24916738,0.2534499,0.25675145,0.25809947,0.25685656,0.25270596,0.2458483,0.23717184,0.22798781,0.21998453,0.21508686,0.21497707,0.21981086,0.22737361,0.2343809,0.23868223,0.24067195,0.24188368,0.243439,0.24511938,0.24650334,0.24725276,0.24738948,0.24664259,0.24508889,0.24303107,0.24104561,0.23908359,0.23671435,0.23276353,0.22533919,0.21172278,0.19042201,0.16331986,0.13571905,0.11349857,0.09965876,0.09412042,0.0952931,0.10204986,0.11321747,0.1263674,0.13766603,0.1436134,0.14364034,0.14006029,0.13579789,0.13153814,0.12592672,0.117934324,0.108489126,0.10000091,0.094812654,0.09514763,0.10295234,0.11908587,0.14154984,0.16616376,0.18916708,0.20863785,0.22372282,0.23253232,0.23438378,0.23113185,0.22750598,0.2257237,0.22370362,0.21680176,0.20400383,0.18988653,0.1808755,0.17866255,0.17756872,0.16937846,0.15020964,0.12426794,0.10012435,0.085276574,0.08192668,0.08741728,0.09641019,0.10398784,0.1078251,0.10856394,0.108294845,0.10819498,0.107631594,0.1050556,0.09974044,0.09253141,0.08520347,0.07919804,0.07493732,0.07192082,0.069229595,0.06661249,0.06557732,0.06971692,0.08226508,0.10273975,0.12585674,0.14456213,0.15483862,0.15705918,0.1543061,0.14891072,0.14179577,0.13279961,0.121973366,0.10981221,0.09744653,0.0864126,0.07806525,0.07302227,0.071087845,0.07209966,0.07660678,0.08517163,0.09676638,0.10766199,0.11348762,0.1129654,0.11075484,0.115546644,0.13387284,0.1646566,0.19899368,0.22623222,0.23981094,0.23940031,0.22871126,0.21342947,0.19804491,0.18343925,0.16617382,0.14465202,0.12462047,0.11720613,0.12805158,0.1501578,0.16903318,0.17435716,0.16606884,0.15070929,0.13512154,0.12404657,0.119919024,0.12242341,0.12770106,0.13074376,0.12884785,0.12316254,0.11652317,0.11107675,0.10809234,0.10897113,0.115095116,0.12551636,0.13626082,0.14165805,0.13860075,0.12811047,0.11488403,0.10318809,0.0947615,0.08843085,0.08281077,0.077761196,0.074278034,0.072640955,0.07184832,0.070272654,0.06725672,0.06356671,0.061552513,0.06537887,0.08016317,0.10963925,0.15029384,0.19152905,0.21972667,0.2295239,0.22410478,0.21149194,0.19589221,0.18099803,0.17124732,0.1712747,0.1775235,0.18070255,0.17286183,0.15597466,0.13723497,0.122908175,0.11527231,0.116784744,0.13024075,0.15438558,0.17965402,0.19300824,0.1877727,0.1699937,0.15314905,0.14669816,0.14874895,0.1494593,0.14066535,0.12175805,0.09838139,0.07761303,0.06500842,0.064133674,0.07547015,0.09638854,0.12174249,0.14759319,0.17135136,0.19153611,0.20583613,0.21346004,0.21600763,0.21603882,0.21394373,0.20723446,0.19547339,0.18187769,0.17256932,0.16888122,0.16692068,0.15957826,0.14481162,0.12623653,0.11091372,0.103079975,0.102977805,0.10805109,0.11549842,0.12315458,0.129532,0.1341439,0.13688153,0.13709097,0.13298343,0.123552896,0.11092595,0.10005537,0.09541277,0.0969731,0.10057791,0.10089163,0.09573338,0.08669632,0.078375556,0.07591262,0.083290935,0.10073173,0.12379855,0.14483243,0.1574518,0.15937568,0.15260333,0.1408255,0.12796436,0.11763769,0.113171615,0.11751739,0.13171645,0.15362717,0.1761686,0.19047105,0.19058503,0.17839777,0.16201156,0.15060192,0.14890079,0.15562476,0.1651498,0.17107171,0.16931365,0.1597057,0.14509542,0.13019662,0.120592885,0.12212407,0.13755049,0.16416323,0.1931039,0.21523331,0.22516286,0.22377543,0.21444184,0.20058805,0.18378502,0.16442566,0.14259854,0.118816756,0.09473831,0.07288361,0.056125943,0.046196666,0.042732973,0.043194994,0.04446571,0.0446237,0.04354434,0.04201739,0.04055513,0.03908406,0.037230957,0.034736525,0.03156218,0.027913583,0.02413994,0.02055666,0.017319055,0.014495,0.01216292,0.010437205,0.009298121,0.008611887,0.00814331,0.007754177,0.007345325,0.006912815,0.006448806,0.0060201404,0.005681855,0.0054826946,0.0053728577,0.0052662664,0.005058139,0.004730135,0.0043332013,0.0039654938,0.0036632307,0.003389932,0.0030792113,0.0027242645,0.002378553,0.002104052,0.0019134755,0.001784698,0.0016948878,0.0016422989,0.0016331839,0.001655214,0.0016778331,0.0016562726,0.0015708678,0.0014286403,0.0012665995,0.0011151452,0.0009915741,0.00089707266,0.00082821166,0.0007808657,0.00074945873,0.00073233614,0.00072438543,0.00071517966,0.0006861896,0.0006284613,0.00054992863,0.00047193887,0.00040951747,0.00036435344,0.00032842337,0.0002961709,0.00026807364,0.00024918842,0.00024245838,0.00024602565,0.0002528918,0.00025619435,0.0002519284,0.0002409324,0.00022518235,0.00020693337,0.00018654544,0.00016541973,0.000145494,0.00013065354,0.0001232924,0.00012336085,0.00012703125,0.00012955915,0.00012811359,0.0001229191,0.00011590565,0.00010816134,9.969301E-05,9.008147E-05,7.976607E-05,7.001334E-05,6.231658E-05,5.7627974E-05,5.5768003E-05,5.5679226E-05,5.60957E-05,5.621657E-05,5.5838416E-05,5.481819E-05,5.3034175E-05,5.014459E-05,4.6159814E-05,4.125638E-05,3.621346E-05,3.183905E-05,2.890323E-05,2.7479977E-05,2.723314E-05,2.7507043E-05,2.7774657E-05,2.7625623E-05,2.6861517E-05,2.5499823E-05,2.3753013E-05,2.1883921E-05,2.003077E-05,1.8231003E-05,1.6523667E-05,1.502645E-05,1.3848935E-05,1.3032794E-05,1.254036E-05,1.2319947E-05,1.22811825E-05,1.2304662E-05,1.2215419E-05,1.182246E-05,1.0909152E-05,9.340689E-06,7.1918107E-06,4.8236275E-06,2.7335536E-06,1.3135267E-06,7.343304E-07]