[0.17402378,0.18410468,0.20545174,0.2300273,0.24998812,0.26068053,0.26247957,0.25911224,0.254403,0.24982066,0.2442913,0.23743202,0.23129332,0.23112787,0.24305038,0.27142358,0.31376755,0.35741046,0.38283142,0.375718,0.3379449,0.2865675,0.24080588,0.21034522,0.19384883,0.18600665,0.18337862,0.18553989,0.19371372,0.21033718,0.23861592,0.27920604,0.32547083,0.3626927,0.37579155,0.35927925,0.3216201,0.2787733,0.24501504,0.22631854,0.2206204,0.22130615,0.22241473,0.22165667,0.2204218,0.22213407,0.22985822,0.24448888,0.26120564,0.27140772,0.26715013,0.24895276,0.22406423,0.20171578,0.18587737,0.17676318,0.17342354,0.17704791,0.18766636,0.20155965,0.21089117,0.20955591,0.19783777,0.18291791,0.17431332,0.17884721,0.19652866,0.21866685,0.23120277,0.22373126,0.19843207,0.16979213,0.15490462,0.16224398,0.18656544,0.21246867,0.22323388,0.21158893,0.18458068,0.15942307,0.15239735,0.16942848,0.20368516,0.24042125,0.2653242,0.27162075,0.26170233,0.24354799,0.22585559,0.21455473,0.2104771,0.20858191,0.2016849,0.18794829,0.174908,0.1754966,0.19701819,0.23415063,0.26955393,0.28581753,0.27642792,0.2513088,0.22860546,0.22386087,0.24025786,0.26854864,0.29217377,0.29788306,0.2830719,0.2565228,0.23091115,0.21502633,0.21124142,0.216065,0.22288899,0.22340976,0.21325348,0.19407892,0.17352922,0.15894878,0.15478592,0.16250966,0.18312709,0.21493804,0.25072753,0.27787086,0.2861513,0.2747157,0.2530255,0.23375525,0.2255039,0.22946884,0.24006712,0.24928503,0.25146613,0.24781531,0.24491103,0.25103897,0.26970506,0.29662064,0.3184725,0.32110465,0.2983637,0.25875396,0.21743363,0.186601,0.16831452,0.15954454,0.15700899,0.16031522,0.1688705,0.18080015,0.19393992,0.20872313,0.22745009,0.24984424,0.27005717,0.27972797,0.27553535,0.2633602,0.25483078,0.2582714,0.27202487,0.28491494,0.28579807,0.2723702,0.25415733,0.2448883,0.25472412,0.28399754,0.32284585,0.35325193,0.3584262,0.33277324,0.2869058,0.23899199,0.20291014,0.18130684,0.17049448,0.167315,0.17176948,0.18260133,0.19404946,0.19804806,0.19111554,0.17743142,0.16663636,0.16737299,0.18311638,0.20834668,0.2302264,0.23440707,0.21634467,0.1855508,0.16044103,0.15560871,0.17321314,0.20178269,0.22329192,0.22381522,0.20282386,0.17350699,0.15414631,0.15720975,0.18308641,0.22151046,0.25668252,0.2761428,0.27627328,0.26338533,0.24766679,0.2363195,0.22990416,0.2229264,0.20980322,0.1896062,0.16901171,0.15713304,0.15963449,0.1736419,0.18953282,0.19668572,0.19041137,0.17482316,0.15960802,0.15410303,0.16167623,0.17845778,0.19502185,0.20267463,0.19807751,0.18483979,0.16844605,0.15262549,0.13816349,0.12599953,0.11770285,0.11495325,0.11737323,0.12380598,0.1331233,0.14599204,0.16275252,0.18333663,0.20717706,0.2355329,0.2698296,0.30782625,0.34215558,0.36380473,0.3695673,0.36348394,0.35512188,0.3530129,0.36169454,0.3787348,0.3966087,0.40658018,0.40455076,0.39409783,0.3838555,0.38140604,0.38662732,0.39165387,0.38699389,0.3697221,0.34595904,0.3253744,0.3145851,0.31373918,0.31987962,0.3296459,0.3411256,0.351928,0.35985443,0.36421716,0.3676852,0.3741943,0.38514313,0.39791355,0.407456,0.41077128,0.408335,0.4043847,0.40265784,0.40366483,0.4033228,0.3972739,0.38544366,0.3733597,0.3690981,0.37719905,0.39550313,0.4136871,0.41978642,0.4070352,0.38041294,0.35206604,0.33382335,0.32967076,0.33721367,0.3514352,0.3682216,0.38313505,0.39057314,0.38557926,0.36797008,0.34458792,0.32639706,0.324055,0.34254286,0.37800768,0.41635478,0.4389974,0.4340316,0.40499428,0.36908367,0.344968,0.34148455,0.35330322,0.3666124,0.36825666,0.3540266,0.32983157,0.30736768,0.297794,0.30766574,0.33592907,0.37372625,0.4080418,0.4305987,0.4419601,0.4489293,0.4548037,0.45601156,0.44414008,0.41488972,0.37209496,0.32834592,0.2981873,0.29201952,0.31051263,0.34362206,0.37407124,0.3855896,0.37336686,0.34712812,0.32549414,0.32277772,0.34075943,0.36795118,0.3883036,0.3906174,0.37505743,0.35051608,0.32837352,0.31502533,0.31168222,0.31563702,0.3248525,0.33725145,0.3518748,0.36671543,0.38064528,0.39259198,0.4029942,0.412295,0.42112914,0.4288715,0.43385634,0.4334688,0.4258361,0.41174594,0.3951567,0.3825117,0.37913707,0.38691345,0.4016209,0.41536626,0.4199411,0.41290823,0.39889315,0.3885382,0.3911463,0.408741,0.4317917,0.44604802,0.44175473,0.42195824,0.3974917,0.3787289,0.36867693,0.36567557,0.3675824,0.37336984,0.38141927,0.38846377,0.39252493,0.39504275,0.40047133,0.41127825,0.4254861,0.43770716,0.44414222,0.44494084,0.4443914,0.44726908,0.45554546,0.46532258,0.46940115,0.46268454,0.44759575,0.43292055,0.42883596,0.44012406,0.4631753,0.48558474,0.493865,0.48145962,0.4552618,0.4288117,0.41367018,0.41153368,0.4182553,0.428313,0.43865597,0.4456879,0.44462278,0.4317195,0.40932032,0.38596264,0.37213755,0.37420774,0.39251634,0.41954574,0.44318926,0.4506609,0.43866727,0.41498724,0.39510682,0.39061785,0.40326488,0.42371568,0.4379903,0.43566453,0.4163154,0.38919595,0.367618,0.36225823,0.37713388,0.4085454,0.44782522,0.4867271,0.52228045,0.55559736,0.5868756,0.6105654,0.6167422,0.59589267,0.546532,0.4781709,0.40981922,0.35982886,0.3378069,0.33954522,0.35252747,0.36301294,0.36399603,0.35654476,0.34714004,0.3427019,0.34601033,0.3541657,0.3591809,0.3534379,0.33452347,0.30714992,0.2793129,0.25814041,0.24742293,0.24723864,0.25296786,0.25744843,0.25415125,0.24230552,0.22495817,0.2068596,0.19020778,0.17689462,0.16816276,0.16538532,0.168287,0.17647356,0.19001251,0.20874743,0.230511,0.25108996,0.26571366,0.2722911,0.2732891,0.27802518,0.29481658,0.32497165,0.35791504,0.38336137,0.39816657,0.40769708,0.4161882,0.42372417,0.42913613,0.4324204,0.43410885,0.43225434,0.4252129,0.4147712,0.4087502,0.4154427,0.4366021,0.46386895,0.48594126,0.49753132,0.50103235,0.5000616,0.49444246,0.4829538,0.46743158,0.45234677,0.44078276,0.43187988,0.423082,0.4122065,0.39971122,0.38730463,0.37795332,0.37480167,0.38063347,0.3951857,0.41381228,0.43031326,0.44137904,0.44872656,0.4555192,0.46360692,0.47084174,0.47226632,0.46039537,0.43116942,0.38743523,0.34098315,0.30659935,0.2958798,0.31131718,0.3449572,0.38263464,0.41179454,0.42839205,0.43655333,0.4437895,0.45603743,0.47406635,0.4940385,0.50823474,0.5123355,0.5071282,0.5007324,0.5014579,0.51379174,0.53371596,0.5501876,0.5521931,0.535227,0.5067372,0.48013315,0.46874937,0.4768015,0.498036,0.51809424,0.5216552,0.50152236,0.46191183,0.41838118,0.3865107,0.37488595,0.37873316,0.38853505,0.39561734,0.39907417,0.4022567,0.41254842,0.43625474,0.47499523,0.5198143,0.5548277,0.566125,0.5519533,0.523615,0.49903917,0.491994,0.5044542,0.5256006,0.53940755,0.53588593,0.51786655,0.500298,0.50034547,0.52706146,0.57327515,0.6203644,0.64866716,0.65002805,0.62872124,0.59608155,0.5604412,0.5243482,0.4856913,0.44431987,0.40408266,0.372624,0.3570405,0.36047494,0.37879133,0.4009981,0.41488168,0.41540244,0.407012,0.3995676,0.4009385,0.4146546,0.43792546,0.46193597,0.47474,0.46920168,0.44875026,0.42500827,0.40937972,0.4060099,0.41135705,0.41866902,0.4238129,0.4272045,0.4337087,0.44937468,0.47814587,0.51690847,0.5534305,0.57271296,0.56535345,0.5353684,0.49460208,0.45765468,0.43175673,0.4164635,0.40316582,0.3848128,0.36025682,0.33615446,0.32012773,0.31731492,0.32822478,0.3491559,0.37273416,0.3909296,0.4000833,0.40272033,0.40565494,0.4132422,0.42360017,0.42865792,0.42171955,0.40268445,0.37850904,0.35730374,0.3450055,0.3445822,0.35601628,0.3751131,0.39481986,0.40977135,0.41934797,0.42764345,0.43941304,0.4577658,0.4806281,0.5021009,0.5152031,0.5176838,0.5133412,0.5087737,0.50879604,0.51218826,0.5132648,0.5046775,0.48414746,0.45618093,0.43036783,0.4160786,0.41689745,0.4299123,0.4448125,0.4513587,0.442477,0.42078766,0.39446333,0.37507603,0.36962906,0.37786344,0.39087972,0.39795873,0.3935968,0.38140774,0.37035152,0.3679647,0.37581348,0.38872337,0.3993779,0.4025079,0.398744,0.39289728,0.39216307,0.40130988,0.42038694,0.44201902,0.45625058,0.45513806,0.43963405,0.41785648,0.4030218,0.40437296,0.42254427,0.44753942,0.46691927,0.47361207,0.46872666,0.45729038,0.4430267,0.42680392,0.40792903,0.3867397,0.36629042,0.35126165,0.34572864,0.35092676,0.3647625,0.38335502,0.40318882,0.42548594,0.45402074,0.4907981,0.52991146,0.56206894,0.58045554,0.5835684,0.57061845,0.5405796,0.49603423,0.4470949,0.4071196,0.3842146,0.3769108,0.37819663,0.38408253,0.39527842,0.41344368,0.4354348,0.45697936,0.4764165,0.49573278,0.51443017,0.52914125,0.53582734,0.534138,0.5254293,0.5120694,0.4949365,0.47376338,0.44554365,0.40830484,0.36380306,0.32038,0.28846008,0.27540445,0.27979448,0.2928677,0.30411127,0.3086693,0.3087425,0.31084213,0.32070002,0.34056997,0.3670582,0.39294997,0.4117118,0.4218448,0.42648408,0.42943206,0.43372402,0.4411511,0.45115957,0.45789972,0.45220056,0.4287313,0.39290228,0.35951304,0.34374723,0.3504924,0.37239385,0.39484704,0.4068103,0.4047023,0.39380977,0.38365757,0.3845315,0.4024309,0.43562543,0.47676817,0.5159255,0.54652214,0.56535846,0.5739662,0.5761733,0.57644945,0.57831115,0.5833357,0.59216315,0.6019378,0.60735935,0.6014382,0.5810953,0.54829615,0.5089876,0.4685782,0.4303634,0.3974359,0.37517872,0.36893848,0.3783766,0.39408267,0.40294376,0.39606893,0.37494734,0.35018563,0.3368423,0.3458242,0.37671265,0.41583958,0.44456246,0.4505507,0.435266,0.41138658,0.39480695,0.39467743,0.40823233,0.42316914,0.42701325,0.4157283,0.3951696,0.37515512,0.36217013,0.35621813,0.35307494,0.34969023,0.34668517,0.34732118,0.35338536,0.36421868,0.3770021,0.38883463,0.39824995,0.40657365,0.41753855,0.43391275,0.45570564,0.47936437,0.4996616,0.50985664,0.50427014,0.4816368,0.44785845,0.41417602,0.3913361,0.3841984,0.39037013,0.40390685,0.42072725,0.43901417,0.45713997,0.47159123,0.4809513,0.4868884,0.49186608,0.49474943,0.4928209,0.48643664,0.48046947,0.47980455,0.48335505,0.48294112,0.46776843,0.4324378,0.38101473,0.32583904,0.28125942,0.2581557,0.25900105,0.27738717,0.3009263,0.31985334,0.33084345,0.33749568,0.3444953,0.3560691,0.37307867,0.3928962,0.40951005,0.41773987,0.4172651,0.4130744,0.4134024,0.42459288,0.4462875,0.46862313,0.47683525,0.46182752,0.42705843,0.38793254,0.36134812,0.35663238,0.3706043,0.39180815,0.40933016,0.41797376,0.4201267,0.42060718,0.42627892,0.4412724,0.46663746,0.4977604,0.5278955,0.55165976,0.56623,0.57268906,0.57265884,0.5693455,0.5635817,0.557063,0.5513517,0.5494732,0.5530315,0.5634926,0.58162254,0.60718805,0.6338641,0.65245014,0.65464073,0.6421976,0.6249497,0.61681956,0.6244511,0.64038545,0.64391524,0.6141775,0.5462697,0.45710564,0.3758392,0.32651553,0.31561148,0.33158883,0.35586342,0.3739157,0.38211656,0.3837694,0.38609502,0.3935145,0.40627643,0.41673756,0.41469738,0.39344355,0.35668778,0.31668305,0.28682527,0.27362487,0.2738929,0.2796309,0.2845137,0.28822082,0.29481807,0.3102633,0.33779156,0.3765262,0.4196237,0.45904624,0.48697352,0.49975634,0.49677888,0.48355767,0.46785966,0.45559466,0.44482484,0.43022645,0.4096755,0.38934883,0.37908635,0.38415208,0.3998717,0.4136375,0.41520444,0.40314102,0.38619927,0.3749987,0.37740663,0.39470467,0.42289862,0.45337355,0.47742462,0.48985517,0.49153545,0.4878111,0.48570386,0.4888154,0.494467,0.49503303,0.48555067,0.46879402,0.45406902,0.4495884,0.45651925,0.46803594,0.4740589,0.46867433,0.45470926,0.44168887,0.4381808,0.445565,0.457509,0.4652171,0.4633527,0.4538525,0.44325927,0.43796396,0.44000927,0.4491206,0.46457756,0.48476514,0.50400823,0.51371163,0.50790775,0.48926488,0.46878183,0.4596164,0.46768093,0.48818898,0.50852996,0.51787835,0.512881,0.49894956,0.48560584,0.4810834,0.48858824,0.5045002,0.5228002,0.5388627,0.55466944,0.5745511,0.6000959,0.6243805,0.6365966,0.6316367,0.615079,0.59952307,0.59229916,0.5921781,0.5902257,0.5798371,0.55899125,0.53209376,0.50409216,0.47935033,0.46030167,0.45076776,0.4539182,0.4697915,0.49238357,0.5127867,0.52385086,0.5235481,0.51632565,0.51104045,0.5168159,0.5367571,0.5649186,0.5895607,0.59957,0.5922732,0.57584625,0.5653782,0.57200116,0.5933525,0.6154053,0.6225494,0.60869724,0.57765627,0.53841645,0.49844718,0.46232852,0.4318833,0.4088128,0.39447036,0.38938192,0.39145577,0.3978778,0.40748954,0.42246306,0.44572723,0.47644576,0.50705117,0.52663684,0.52844554,0.51509666,0.49458298,0.47283924,0.45010456,0.42500094,0.39937618,0.37938333,0.37187508,0.37923595,0.39617077,0.41207317,0.41815707,0.41354957,0.40504143,0.40177986,0.40978536,0.42885122,0.45276514,0.47246817,0.48137257,0.47888803,0.47047007,0.46437812,0.46635938,0.4754497,0.48320806,0.4804485,0.46379748,0.4398631,0.42090657,0.4206876,0.446431,0.49558344,0.5545259,0.60780925,0.6457371,0.6684873,0.6815421,0.6906895,0.6980681,0.700547,0.6915095,0.666055,0.6265569,0.58363587,0.55036,0.5347864,0.5346737,0.5400154,0.53978807,0.5291628,0.51050776,0.49002266,0.4735953,0.46429923,0.4623964,0.46474275,0.46752262,0.46722975,0.46435335,0.4633619,0.4719235,0.4962112,0.53495187,0.5794604,0.615977,0.6351307,0.6341664,0.6198574,0.6013136,0.5855451,0.57194716,0.5561269,0.53505754,0.51147217,0.49174345,0.48211488,0.48428378,0.49589035,0.51017857,0.5212004,0.52406555,0.51954013,0.5118186,0.5088118,0.5154628,0.5305483,0.5466197,0.55685085,0.56034666,0.5618518,0.56773406,0.5819841,0.60402656,0.6268222,0.6399813,0.6357158,0.61641985,0.5942283,0.58593136,0.601981,0.63980746,0.682617,0.71032786,0.71055126,0.6848224,0.6427513,0.5954196,0.5491871,0.50557095,0.46233228,0.41885594,0.378615,0.3493965,0.33784866,0.34626493,0.3714421,0.40750232,0.44818082,0.48650336,0.51481813,0.5263746,0.520871,0.5041983,0.48400912,0.46262193,0.43860164,0.411404,0.38588643,0.36913514,0.3652248,0.37126842,0.37915614,0.38204202,0.37886354,0.3745625,0.37520564,0.38509476,0.4049889,0.431604,0.45769823,0.47552398,0.4810634,0.47609875,0.46643674,0.45963106,0.46083307,0.4695518,0.47810706,0.47785482,0.46535718,0.44607663,0.4287345,0.41967535,0.41786203,0.41805783,0.41617548,0.4142722,0.41784564,0.429986,0.44793785,0.46529794,0.47631025,0.47859266,0.4742053,0.467754,0.46362868,0.4633703,0.46763158,0.47732377,0.49272922,0.5095009,0.5191646,0.51452905,0.4963765,0.47473887,0.4628451,0.46761727,0.48488128,0.5021104,0.50791246,0.49839112,0.47889647,0.4602565,0.45340338,0.46521094,0.49405006,0.53179395,0.56672376,0.59176165,0.6065321,0.61568546,0.62237424,0.6246698,0.61998385,0.60897875,0.5982806,0.5924453,0.59113723,0.58696634,0.5739215,0.5503618,0.5215809,0.4933451,0.46991602,0.4528692,0.44564936,0.45163557,0.47107482,0.49726605,0.52007115,0.53136927,0.5291204,0.518727,0.51050335,0.51444006,0.5333702,0.55990744,0.58177304,0.58853585,0.57909274,0.5606091,0.5454003,0.54213697,0.5507105,0.5624093,0.5664298,0.55703336,0.5347797,0.504419,0.4707218,0.43782893,0.40886268,0.38712534,0.37484196,0.3733089,0.38233256,0.40133438,0.42829773,0.45931196,0.48876944,0.5108091,0.5206062,0.5159805,0.50005335,0.48071566,0.46536222,0.45425093,0.4414853,0.42183855,0.397627,0.3777186,0.3718747,0.38326147,0.40548742,0.42560506,0.43291152,0.42543712,0.41045162,0.39853993,0.39797568,0.41033104,0.4301399,0.44802117,0.45664904,0.4555184,0.45047307,0.45068443,0.46117815,0.47935987,0.49322793,0.49152127,0.47025406,0.43890643,0.41283968,0.40879008,0.43452254,0.48750913,0.55384374,0.6187101,0.6717539,0.71001005,0.7329907,0.74205977,0.74037915,0.73284584,0.7229085,0.7108355,0.6943713,0.6715352,0.642874,0.61198664,0.583096,0.5578714,0.5348065,0.51140076,0.48735395,0.46497464,0.44867945,0.44131696,0.44260022,0.4470516,0.4485266,0.44246414,0.4302039,0.4177469,0.41480562,0.42972532,0.46353754,0.5085487,0.55056936,0.5788198,0.58988506,0.5907841,0.5908196,0.5953328,0.5999841,0.5956628,0.57669306,0.54646,0.516157,0.49755242,0.49658418,0.51080006,0.53051597,0.54531103,0.5473063,0.5367663,0.5202032,0.5091385,0.51178384,0.52789855,0.5484478,0.562803,0.56637496,0.5618803,0.55632454,0.5560904,0.56385684,0.5756002,0.5827257,0.5768562,0.55781764,0.53455305,0.5211869,0.5266232,0.54859066,0.5748642,0.59225774,0.5932457,0.5755684,0.53809565,0.48177883,0.41243353,0.34248555,0.28382525,0.24377029,0.22186907,0.21500294,0.21877688,0.22919899,0.2415086,0.25194147,0.26088437,0.27244505,0.29150888,0.31872776,0.35122085,0.3834807,0.4096726,0.42422864,0.42543444,0.4170324,0.4069771,0.4027561,0.40687093,0.41550323,0.42017674,0.41436234,0.3983334,0.37872264,0.36276948,0.35326,0.34994057,0.35044575,0.35246184,0.3528196,0.35061535,0.34743512,0.3476969,0.35517046,0.37056282,0.3893696,0.40429962,0.41018167,0.40753844,0.40156662,0.39808702,0.39988187,0.4046247,0.40493238,0.39316216,0.36718234,0.3335772,0.30334118,0.28591192,0.2836195,0.2916268,0.30033612,0.3030031,0.29927573,0.29627514,0.30255842,0.32516113,0.3653899,0.41741022,0.4677627,0.50162995,0.511513,0.5025923,0.4896053,0.4879721,0.5037513,0.52958447,0.5483623,0.5451438,0.5172794,0.47824553,0.45113477,0.45647383,0.5005041,0.5683083,0.63125134,0.6610894,0.6489789,0.6090291,0.57003194,0.55517673,0.5694794,0.59989035,0.62694293,0.6376219,0.6296075,0.6100705,0.58858174,0.5730882,0.56553483,0.5634175,0.56126505,0.5561972,0.5499068,0.550302,0.5650905,0.5959978,0.6333962,0.66171396,0.66770023,0.6493366,0.61671,0.58734393,0.57565427,0.5845878,0.6028612,0.61423856,0.6083255,0.5880365,0.5659473,0.5560384,0.5645814,0.58522034,0.6030588,0.60398823,0.58458805,0.5519267,0.51706064,0.48648837,0.4603071,0.43452725,0.40699747,0.3796115,0.35861084,0.3498602,0.35566017,0.37163207,0.38940346,0.40060553,0.40222523,0.39554146,0.38448277,0.37271714,0.3648677,0.36379683,0.36886445,0.37546948,0.37952793,0.38078165,0.3826698,0.38948676,0.40245867,0.41745722,0.4260098,0.42193797,0.40597644,0.38631502,0.37132946,0.36558476,0.3667536,0.36895037,0.3654467,0.3536955,0.33653736,0.3208185,0.3131385,0.31583044,0.32541013,0.33474317,0.3384856,0.33708528,0.33583894,0.34080422,0.3548238,0.3759432,0.39686275,0.40783003,0.40283215,0.3846501,0.36367726,0.35053468,0.34915182,0.35491064,0.35805997,0.3507203,0.3316151,0.30742243,0.28908944,0.28779268,0.31022826,0.3541048,0.40727207,0.45251927,0.47847745,0.48493624,0.48306462,0.48707572,0.5077688,0.5453708,0.5879407,0.61649823,0.616039,0.58798486,0.5507335,0.53071076,0.5441113,0.5865854,0.63440675,0.6607811,0.6533971,0.62230825,0.5919156,0.5833016,0.60139376,0.63224715,0.6544364,0.65095806,0.62083155,0.57825345,0.54695725,0.54368424,0.56766254,0.59595656,0.59946126,0.56074756,0.48955452,0.415652,0.3709387,0.36765108,0.39204678,0.41585377,0.41639623,0.3911853,0.35601965,0.33436826,0.3419064,0.37882304,0.4270232,0.46147823,0.46280095,0.43039092,0.38099298,0.34066883,0.3287553,0.3476386,0.38079822,0.40524828,0.4065013,0.3871117,0.36173856,0.34509695,0.34264824,0.34900248,0.3554622,0.35708138,0.3559127,0.3575414,0.36702314,0.3850567,0.40741873,0.42665303,0.43826148,0.44200945,0.44152784,0.43881878,0.4360114,0.4342555,0.4341404,0.43246412,0.4251881,0.4109125,0.39305267,0.3778791,0.37067804,0.3732097,0.38189736,0.39113724,0.3967763,0.39998472,0.4046164,0.4148006,0.42995238,0.44460332,0.44918057,0.43765083,0.41185048,0.38213658,0.35998857,0.35181776,0.35567832,0.36382928,0.36729476,0.36166373,0.34796354,0.33213016,0.3205948,0.3196385,0.33089784,0.35068616,0.3696904,0.37995985,0.37977934,0.37510273,0.374554,0.3823208,0.39501154,0.40371677,0.40291235,0.393734,0.3831916,0.37715867,0.37977841,0.39343023,0.41865453,0.45117345,0.48177817,0.50141686,0.5065724,0.5018007,0.4967743,0.4995903,0.51183647,0.5268941,0.53697056,0.53810614,0.53443426,0.5340052,0.5442023,0.5664325,0.5938204,0.6159146,0.62374943,0.6172144,0.60252017,0.589145,0.5825402,0.5813825,0.5778137,0.5619283,0.5294938,0.4856201,0.44421682,0.41935834,0.4177591,0.4344828,0.4576842,0.4751008,0.4809461,0.47699448,0.47204077,0.47503796,0.48915672,0.50698686,0.51593405,0.5058796,0.47707054,0.44037196,0.41337478,0.41065767,0.43461442,0.4717653,0.50082606,0.50682294,0.49091637,0.46875164,0.45826402,0.46755207,0.4895172,0.50878936,0.51243305,0.4983008,0.47390997,0.45038512,0.4349928,0.42800626,0.42450774,0.4195548,0.41194662,0.4039264,0.39946595,0.40205097,0.41330612,0.43095016,0.44980028,0.4651047,0.47512385,0.48144078,0.48617184,0.4902991,0.49060306,0.4809257,0.45604727,0.41776323,0.3753898,0.34105268,0.32377782,0.32491204,0.33884156,0.35574213,0.36971137,0.37917435,0.3861557,0.39022508,0.39214608,0.39366856,0.39780828,0.40416268,0.41100433,0.41832206,0.4287767,0.4443083,0.46145773,0.472023,0.46606588,0.4398245,0.39779496,0.35184333,0.31371835,0.29112402,0.28462347,0.28891227,0.2953117,0.29830232,0.29814315,0.30019438,0.30898368,0.32596532,0.34826556,0.37029478,0.38650474,0.39478135,0.39844966,0.40290698,0.41310766,0.4304597,0.45256865,0.47156143,0.47681758,0.46144482,0.4284056,0.39122787,0.36585197,0.36178085,0.37652418,0.39850318,0.4157735,0.4211932,0.416104,0.40543106,0.39796624,0.3999345,0.41434255,0.4373779,0.46250716,0.484197,0.50000656,0.5118243,0.52175903,0.5322361,0.5417259,0.5490802,0.55317444,0.5554859,0.55665755,0.5577248,0.5593717,0.56261945,0.5652365,0.56391764,0.5561302,0.54578155,0.54174954,0.5541837,0.58586246,0.62669617,0.6581154,0.6640479,0.64142674,0.59776807,0.5448283,0.49251914,0.44879976,0.41724956,0.39619473,0.379077,0.36102232,0.34205183,0.32831314,0.32529917,0.33312356,0.34275225,0.34230456,0.3249258,0.2953147,0.26669836,0.25166655,0.25396582,0.26689848,0.2809682,0.2910761,0.2992308,0.30964354,0.3256726,0.3478122,0.37538758,0.40485087,0.43267024,0.45477748,0.4703224,0.47885546,0.48258567,0.48251876,0.47861037,0.4671383,0.4456247,0.41576055,0.38527825,0.36306095,0.3542709,0.35709643,0.3647052,0.37061846,0.37289777,0.374485,0.3794398,0.39069727,0.40870345,0.43152228,0.45444632,0.47225228,0.48110518,0.48071313,0.47413468,0.46793032,0.4679071,0.47461236,0.48106846,0.47974893,0.46976343,0.458781,0.45546198,0.46206036,0.47230613,0.47673777,0.47056016,0.45749375,0.4471071,0.44721282,0.4588809,0.47586265,0.48919427,0.49214005,0.48455587,0.47179902,0.46099937,0.45647702,0.45990217,0.471156,0.48826027,0.5055544,0.51496285,0.5106824,0.4943953,0.47593006,0.46804532,0.47731817,0.49919328,0.52015716,0.5275991,0.5172908,0.49548995,0.47397682,0.46284392,0.46624985,0.48072377,0.5004496,0.51997405,0.5390004,0.55920345,0.5818494,0.6029118,0.6147705,0.6129692,0.6005592,0.58779365,0.58163995,0.5823981,0.58213943,0.5741231,0.55567986,0.5315835,0.5075293,0.48807,0.4744197,0.46936008,0.47637582,0.4966959,0.5247756,0.550046,0.5629089,0.5595946,0.545445,0.5326247,0.5339569,0.55401516,0.5847357,0.6113375,0.6211551,0.61267257,0.5949419,0.5826654,0.5856781,0.6020077,0.6192207,0.6230416,0.60715264,0.574481,0.53339267,0.4912974,0.4530346,0.42144075,0.39968672,0.38997602,0.391938,0.40095505,0.41146913,0.4196035,0.4247825,0.42761528,0.4284707,0.4273324,0.42498338,0.42371818,0.42507854,0.42722797,0.42428398,0.41159508,0.39019287,0.36768213,0.35320008,0.35307777,0.36753955,0.39048603,0.4118382,0.4238452,0.4254429,0.4225975,0.422992,0.4320726,0.44946918,0.47002122,0.48601818,0.49266806,0.4898027,0.4819117,0.4752303,0.47508767,0.48186946,0.48912847,0.48797238,0.4739628,0.4527191,0.43638125,0.4386588,0.4659661,0.5146708,0.5705903,0.61824924,0.6484348,0.6627067,0.66931295,0.6766762,0.687634,0.69727796,0.69696116,0.680499,0.64961004,0.61305016,0.58208805,0.56430054,0.5598023,0.56194615,0.5620493,0.5546999,0.5394931,0.5195089,0.4999816,0.48551774,0.47930095,0.47951233,0.48286083,0.48508596,0.48613212,0.48904014,0.5003789,0.5256359,0.5634431,0.604311,0.63328433,0.6416039,0.63038015,0.61174417,0.5973156,0.5918753,0.58960885,0.58159083,0.5626504,0.535526,0.50824696,0.48979536,0.48504153,0.49327207,0.5074937,0.5197068,0.52332205,0.5182991,0.5098013,0.50699234,0.5151443,0.53072596,0.54194766,0.5386844,0.52065605,0.49829364,0.48417148,0.48571965,0.50142765,0.5234607,0.54264927,0.5530289,0.5549767,0.5536144,0.5572722,0.5712493,0.59426427,0.61616635,0.62477756,0.6122121,0.58010155,0.5366735,0.49330106,0.45777842,0.43249044,0.41423038,0.3997213,0.387486,0.37911534,0.3772793,0.38429987,0.39937675,0.41726193,0.43186858,0.43976462,0.4426583,0.443807,0.44663823,0.4513848,0.45515838,0.45198843,0.43826994,0.4161859,0.3936465,0.37913463,0.3763127,0.38266996,0.39121434,0.39621004,0.39600864,0.39368188,0.3936619,0.39957,0.41282168,0.43165135,0.4516203,0.46746883,0.4759921,0.4770973,0.4738883,0.4717869,0.4748685,0.48200464,0.48573443,0.47889146,0.46026626,0.43664327,0.416604,0.40529588,0.40085876,0.3978301,0.39278436,0.38891113,0.39323756,0.40953353,0.4340792,0.4578179,0.47291696,0.47669038,0.4730933,0.46841502,0.46789482,0.4720337,0.48000094,0.4908533,0.50430816,0.51662165,0.52151227,0.51388305,0.4956385,0.47590208,0.4661431,0.47204968,0.48995885,0.5089257,0.5184167,0.51375943,0.49823096,0.48144257,0.47459713,0.486233,0.51617044,0.5573933,0.59833384,0.63073015,0.650778,0.6595829,0.65954524,0.6526275,0.64149,0.62910086,0.61967677,0.61380076,0.60988456,0.60255474,0.58880615,0.56735516,0.5420782,0.51682,0.4954311,0.4794468,0.4722328,0.47727644,0.495162,0.519811,0.5409424,0.55018735,0.5448958,0.5298857,0.51515204,0.5117915,0.52491134,0.5492262,0.57214457,0.5816218,0.5746878,0.55814534,0.543587,0.538614,0.5417902,0.54476094,0.5386495,0.5205646,0.49380955,0.46495298,0.43906066,0.41819724,0.40204427,0.390528,0.3841798,0.38351142,0.387133,0.3929539,0.39901677,0.40442905,0.40827742,0.40909132,0.40567115,0.39857432,0.39169165,0.3895348,0.39328837,0.39772618,0.3956889,0.38377377,0.36606136,0.35078096,0.34590605,0.3539348,0.37053964,0.3864121,0.39423952,0.39330545,0.38985515,0.39183068,0.40418458,0.42576563,0.45000982,0.46903637,0.4784701,0.47978893,0.47796336,0.47871363,0.48444936,0.4927585,0.4958335,0.4875832,0.46858898,0.44891882,0.4405334,0.4524428,0.48445997,0.5284283,0.56911075,0.59325767,0.5964205,0.58735496,0.58180493,0.5921809,0.6191921,0.6517995,0.676567,0.68583196,0.67981654,0.6609225,0.6313687,0.59497094,0.5593874,0.53260136,0.51749617,0.50974697,0.5020674,0.48938704,0.47374788,0.46081963,0.45666885,0.46063402,0.46919087,0.47667798,0.48157415,0.4849621,0.49202824,0.5084968,0.53624946,0.5708465,0.60149354,0.6190781,0.6196199,0.6086909,0.59506077,0.5859801,0.5806606,0.57352847,0.5594347,0.5393951,0.51956123,0.5075745,0.50666475,0.51485825,0.5247063,0.5298882,0.5266231,0.5178399,0.5098619,0.51080424,0.52396053,0.545026,0.56426483,0.5741592,0.57439184,0.57077104,0.5696042,0.5748825,0.585983,0.59802973,0.60313624,0.5950678,0.57433385,0.5486457,0.52970284,0.52501506,0.5339475,0.5478437,0.55754805,0.5576654,0.5474887,0.52730584,0.49849978,0.46300527,0.42408207,0.3837206,0.34417334,0.3074204,0.27629974,0.25157788,0.23228544,0.21601766,0.20086902,0.18595348,0.17086904,0.15605877,0.14198336,0.12960552,0.119284004,0.11161717,0.1072677,0.10664039,0.10855103,0.110027194,0.10845352,0.103302754,0.096591316,0.09096047,0.08870819,0.09070983,0.096039675,0.101658605,0.10445126,0.10334834,0.10007629,0.09711093,0.09590957,0.09629532,0.0972419,0.09739234,0.0957754,0.09233115,0.08826993,0.08557078,0.08567912,0.08853587,0.0921913,0.09442958,0.093960285,0.09143286,0.08840842,0.086729854,0.087427676,0.09052852,0.09508885,0.10018748,0.10522762,0.10949109,0.11153832,0.110055834,0.10516516,0.09869951,0.09313822,0.09036573,0.09128791,0.09585485,0.10367835,0.11412219,0.12609363,0.1370251,0.143564,0.14360702,0.13824122,0.13103856,0.12520866,0.121712185,0.119276114,0.1161622,0.1118106,0.10720679,0.10453948,0.105153136,0.10905287,0.11417269,0.118335076,0.11978657,0.11861994,0.115828805,0.11315227,0.11183483,0.11266152,0.115399025,0.11927421,0.12287589,0.1252244,0.12562649,0.12465868,0.12316841,0.122114785,0.12093934,0.118289374,0.11338427,0.10749451,0.10351167,0.10385593,0.10969459,0.12024786,0.1335844,0.14614923,0.15472992,0.15710284,0.1536562,0.14599289,0.13660859,0.12756296,0.12023591,0.11507383,0.11165049,0.109647535,0.108928256,0.11022305,0.11375088,0.11888093,0.12321923,0.12458443,0.12182292,0.116106726,0.10949194,0.10444983,0.102024265,0.10177071,0.10189519,0.10123929,0.0998787,0.09854812,0.09728982,0.095355295,0.09212953,0.087674566,0.08279907,0.07836459,0.07519462,0.07366302,0.07407045,0.07623791,0.079723865,0.083840124,0.08850009,0.0940381,0.10026645,0.10572151,0.10830853,0.107167125,0.10339606,0.09961462,0.09805293,0.09939802,0.10248952,0.105724595,0.10791647,0.10878854,0.108255856,0.10705169,0.106112815,0.106266916,0.10666784,0.10608006,0.10377013,0.10050041,0.09693176,0.09336314,0.08963198,0.08624699,0.0840016,0.08360636,0.08501143,0.08753612,0.090670265,0.09422168,0.09800512,0.10051635,0.09973989,0.09456263,0.086479,0.078668244,0.0744736,0.075749956,0.08266308,0.09402996,0.10828498,0.12369815,0.13802586,0.14820011,0.15185855,0.1491705,0.14357054,0.13976854,0.14184575,0.15119328,0.1663507,0.1828682,0.19608383,0.20296593,0.20371716,0.19994108,0.19381605,0.18728411,0.18221885,0.17983045,0.17993855,0.18175805,0.1841632,0.18682134,0.18905072,0.1901034,0.18844391,0.18338095,0.17523374,0.1660273,0.15767843,0.15157026,0.14740436,0.1445769,0.14248191,0.14201738,0.14444818,0.15102892,0.1617736,0.17590654,0.19128193,0.2044359,0.21208923,0.21342652,0.2106302,0.20623131,0.20088138,0.1939096,0.18484187,0.17460035,0.16444613,0.15636182,0.15189047,0.15230584,0.15714668,0.1647604,0.17189871,0.17510955,0.17217417,0.16379203,0.1530959,0.14341038,0.13646893,0.1322182,0.13012534,0.130391,0.13400845,0.1419593,0.15359586,0.16637605,0.17662533,0.18186498,0.1821086,0.17985381,0.17799126,0.17806853,0.17986141,0.18264687,0.18622863,0.19083148,0.1965621,0.20301329,0.20928837,0.21389256,0.21545307,0.21372963,0.21027912,0.20732145,0.20632954,0.20698608,0.20783693,0.20715006,0.20409596,0.19880147,0.19192897,0.18370242,0.17428659,0.16482474,0.15861568,0.15998763,0.17175479,0.19220625,0.21422692,0.22812264,0.22656448,0.20952088,0.18382607,0.15949546,0.1436588,0.13807294,0.13933979,0.14237738,0.1434808,0.14173287,0.13820219,0.13410687,0.12995835,0.12529849,0.11993759,0.11449943,0.110776275,0.11039525,0.11420981,0.121799685,0.13157536,0.1404524,0.14483361,0.14271219,0.13548666,0.12751077,0.12393165,0.12814917,0.1402377,0.1562289,0.1703682,0.1777662,0.17751771,0.17143185,0.16292252,0.15459847,0.14848588,0.14515275,0.14400631,0.14347993,0.1422117,0.13987644,0.13729616,0.13587068,0.13659503,0.13906933,0.1415389,0.14154588,0.13803236,0.13171504,0.124732144,0.11821565,0.11215171,0.10650388,0.1028531,0.1037424,0.11043721,0.122239016,0.13666779,0.15106712,0.1622656,0.16798079,0.16700292,0.16105773,0.15361051,0.14906049,0.14966315,0.15459402,0.16012128,0.16287905,0.16193764,0.15929432,0.15741712,0.15767401,0.15957874,0.16145593,0.1612835,0.1571958,0.14883272,0.13743713,0.12606089,0.11725656,0.11199411,0.109174766,0.10757125,0.10657528,0.10593301,0.104597844,0.10118712,0.09513334,0.08740366,0.07977054,0.07355592,0.06918335,0.06656856,0.066009164,0.06788374,0.07197854,0.07705471,0.08205409,0.08681033,0.09159994,0.09566245,0.097322345,0.09532746,0.09010452,0.083475195,0.0775898,0.07416325,0.074063726,0.07738162,0.082999565,0.08904856,0.09337663,0.09546856,0.09623408,0.097224005,0.09841276,0.098861665,0.09766484,0.09513655,0.09202287,0.08919018,0.087382734,0.08722341,0.08881015,0.09159562,0.09463213,0.096845694,0.097476244,0.09660094,0.095009774,0.093426965,0.091544054,0.08859429,0.084357806,0.08013206,0.07829279,0.081189826,0.0895924,0.101668395,0.113603055,0.121634774,0.12449617,0.12374922,0.122664005,0.12369392,0.12789743,0.13440503,0.14185588,0.14796074,0.15104239,0.15034111,0.14793845,0.14716955,0.15095784,0.1594799,0.17107628,0.18373136,0.19571872,0.20560731,0.21161242,0.2129522,0.2089662,0.19954975,0.18410061,0.16402584,0.14316688,0.12788884,0.122996695,0.12996686,0.14640589,0.16881038,0.19305344,0.21427141,0.22757296,0.23056984,0.2257245,0.21767144,0.20997642,0.20191477,0.19090617,0.17446916,0.15342121,0.13090914,0.111861415,0.10015116,0.09790465,0.103977084,0.114345215,0.12278172,0.12428754,0.11772522,0.10740799,0.100525685,0.103739955,0.11851174,0.14009379,0.1594704,0.16937323,0.16804995,0.15963368,0.15031569,0.1447339,0.1440286,0.14632475,0.14930856,0.15209264,0.15571213,0.16084933,0.16696514,0.17260315,0.17705344,0.18027906,0.18205357,0.1815431,0.17826217,0.17333229,0.16908224,0.16744463,0.1683381,0.17029154,0.17188822,0.17305906,0.17442787,0.17674744,0.17995048,0.18346955,0.18593562,0.18674874,0.18623978,0.18629809,0.18825215,0.19243246,0.19743331,0.20160598,0.20411156,0.20592327,0.20919853,0.21527655,0.22349578,0.23108838,0.23487788,0.23242839,0.22340874,0.21043552,0.19867545,0.19437923,0.20147698,0.21969347,0.24270499,0.2605052,0.26345384,0.24844815,0.22060478,0.1901701,0.16581298,0.15074651,0.14307927,0.13973148,0.13904405,0.14127992,0.14648278,0.15362804,0.1604243,0.16509633,0.16663325,0.1658891,0.16500612,0.16726005,0.17470814,0.18676037,0.1996259,0.20839268,0.20958239,0.2035724,0.1943747,0.18826896,0.19039048,0.20336749,0.22525893,0.25051367,0.27081528,0.28011253,0.27737138,0.26719126,0.25520846,0.24486692,0.23720984,0.2325607,0.23149896,0.23292206,0.23473175,0.23466156,0.23355164,0.23331676,0.2350598,0.2365235,0.23549344,0.23245059,0.2312464,0.23481674,0.24219203,0.24881475,0.25021973,0.24518895,0.2362266,0.22779961,0.22365277,0.22503443,0.23020218,0.23578368,0.23880441,0.23858874,0.2367742,0.23637594,0.23974805,0.24780965,0.25900403,0.270196,0.27615356,0.27212128,0.25502667,0.22772366,0.19744705,0.17354079,0.16067155,0.15754777,0.15847485,0.15900683,0.15860353,0.15976827,0.16488947,0.17355408,0.18295151,0.18948638,0.1915677,0.18978606,0.18601334,0.18164317,0.17768861,0.17494231,0.17389189,0.17419934,0.17559879,0.17824192,0.1825447,0.18794008,0.19335924,0.19775636,0.20050158,0.20111847,0.1996758,0.1970361,0.19442743,0.19260675,0.19200636,0.19303113,0.1963538,0.20248924,0.2116202,0.22342499,0.23707266,0.25175247,0.26615837,0.27812818,0.28387296,0.2809555,0.2706457,0.25971654,0.25646356,0.26671135,0.2886367,0.3128643,0.32518092,0.31578174,0.28499308,0.24445789,0.20792544,0.18403594,0.17250347,0.16899581,0.16923064,0.17178525,0.17640738,0.18269424,0.18918686,0.19433145,0.1970079,0.19736719,0.19712736,0.19895099,0.20502828,0.21502678,0.22790618,0.24224277,0.25833926,0.27442896,0.288394,0.29769194,0.30446386,0.31400546,0.33120143,0.3540989,0.37180582,0.37135234,0.34632197,0.30348054,0.25697017,0.22013347,0.19781281,0.1878903,0.18512821,0.18603645,0.18950792,0.19655704,0.20854534,0.22609694,0.24770541,0.2691859,0.286247,0.2973101,0.3056266,0.3151686,0.32775828,0.34085873,0.35139152,0.35707614,0.3587546,0.3581606,0.35771438,0.3575811,0.3572153,0.35488307,0.35008788,0.34189597,0.33102494,0.31857002,0.3067753,0.29549947,0.28353402,0.2692543,0.2536163,0.2382409,0.22432287,0.21116711,0.19789468,0.18434368,0.1716698,0.16130815,0.1545869,0.15245838,0.15539533,0.16245013,0.17098518,0.17801242,0.18185568,0.18276536,0.18178815,0.18025719,0.17915179,0.17893612,0.1789378,0.1785986,0.17837924,0.18016095,0.18531404,0.19343114,0.20189501,0.20736764,0.2077377,0.20355697,0.19771744,0.19367969,0.19377266,0.19826233,0.20537424,0.2120179,0.21595539,0.21717982,0.21812089,0.2212467,0.22816263,0.23865366,0.25147748,0.2638922,0.2731092,0.277253,0.2765245,0.2725908,0.26812935,0.2665204,0.27160296,0.28637,0.31048822,0.3380127,0.35802367,0.35998586,0.3406653,0.3067201,0.27005437,0.24016003,0.22019213,0.20838511,0.20242544,0.20171006,0.20698148,0.2174745,0.22969502,0.23819332,0.23919429,0.23298943,0.22486258,0.22200608,0.22904408,0.24415214,0.2598756,0.26891455,0.2693154,0.26577222,0.2644639,0.26885906,0.27816972,0.29063252,0.30529654,0.32076135,0.3331515,0.33704868,0.3306953,0.3182689,0.3076029,0.30491617,0.3117219,0.3259038,0.34194657,0.35345602,0.35413313,0.3424131,0.32160115,0.29896352,0.28095964,0.27112472,0.2694224,0.27458736,0.28532392,0.30103824,0.31949782,0.33655083,0.3464125,0.34631893,0.33815905,0.32833016,0.32235602,0.32230926,0.32579902,0.32987335,0.33251354,0.33473572,0.33858204,0.34706163,0.3608509,0.37784874,0.39189222,0.39661035,0.38836637,0.36906442,0.34414765,0.3194465,0.29832482,0.28140274,0.26852497,0.25965977,0.25471792,0.25188598,0.24869017,0.243764,0.23861225,0.23616819,0.2386529,0.24576266,0.25546673,0.26562527,0.2751428,0.28301457,0.28778768,0.2885946,0.28675976,0.28540587,0.2872987,0.2936767,0.3035215,0.31382868,0.32022414,0.32031012,0.31520453,0.3087301,0.3037727,0.30154642,0.30196047,0.3047758,0.30896708,0.31348702,0.31767294,0.32214507,0.3279864,0.3360858,0.3456304,0.3536959,0.35720637,0.35570076,0.35271552,0.3525038,0.35742858,0.36648965,0.378018,0.3907676,0.40512946,0.42060864,0.4344622,0.44065467,0.43436942,0.41583666,0.39186755,0.37079307,0.35770413,0.3521079,0.35119256,0.35342562,0.3602836,0.37223837,0.385312,0.39113423,0.38449693,0.36806512,0.35233828,0.34781572,0.359275,0.38332474,0.41073802,0.43155444,0.43931234,0.43543705,0.42731392,0.4245799,0.4319804,0.4468899,0.46198925,0.47078288,0.47282866,0.4717739,0.47344136,0.47987282,0.48953554,0.49650133,0.4967445,0.4903233,0.48264146,0.479151,0.48316562,0.49402937,0.50872153,0.5214209,0.52739835,0.5256347,0.5218865,0.52611274,0.5471087,0.58615994,0.6319353,0.66625315,0.67336583,0.6510256,0.6069199,0.55219764,0.4941565,0.43823758,0.3890033,0.35114694,0.3268256,0.31552085,0.31296816,0.31436682,0.31521764,0.3136002,0.3062762,0.28963244,0.26151592,0.22817142,0.20380026,0.2029997,0.22958107,0.27224413,0.3133664,0.340271,0.35255888,0.35768965,0.366403,0.3858215,0.4172945,0.45328084,0.48341522,0.49989673,0.50341165,0.500008,0.49770316,0.50040084,0.50538707,0.5038077,0.48802057,0.45834124,0.42475525,0.39991498,0.39109835,0.3955786,0.40384758,0.40706238,0.4028575,0.395669,0.3923024,0.39852977,0.41602197,0.441543,0.46702507,0.48506296,0.492956,0.49455371,0.496123,0.502827,0.51487535,0.5266258,0.52893096,0.51553315,0.48757347,0.453421,0.42318773,0.40401438,0.39621648,0.39522424,0.39631173,0.40030184,0.41190863,0.4335048,0.4606724,0.4847134,0.49880624,0.5013782,0.4963727,0.48944828,0.48541093,0.48591828,0.4920886,0.5047555,0.52344054,0.5424271,0.55218506,0.544972,0.52188826,0.49422082,0.4775993,0.4814484,0.5024411,0.52647823,0.5393266,0.5354149,0.5204902,0.5065122,0.50426644,0.5184061,0.5454852,0.57845855,0.60973614,0.6355577,0.6544147,0.66661185,0.6720813,0.6701254,0.6616126,0.64918405,0.6384231,0.6317784,0.62825394,0.6210513,0.6051243,0.5788512,0.5477746,0.5179755,0.4943988,0.47863472,0.4740506,0.48384252,0.50777453,0.5379553,0.56296086,0.57418126,0.56989944,0.55627275,0.5453406,0.55024266,0.57640034,0.61534697,0.6489873,0.66090536,0.64803904,0.62135464,0.5978725,0.5890797,0.59385437,0.6018918,0.60069054,0.58431196,0.55354977,0.5151066,0.4761611,0.44245687,0.4155229,0.39512482,0.38048366,0.3733101,0.3759446,0.39098582,0.41694275,0.44760844,0.47201845,0.48034653,0.4693922,0.44514254,0.42028293,0.4059461,0.4049894,0.40906605,0.40653762,0.3915694,0.36947504,0.35249177,0.35198542,0.37141836,0.40369573,0.43481383,0.45227507,0.45231852,0.44095436,0.42880714,0.42468274,0.43112352,0.44318822,0.45265338,0.45330057,0.446167,0.43775353,0.43737817,0.44955733,0.47104445,0.48923734,0.49269056,0.47855845,0.4580994,0.44734493,0.46005857,0.49805084,0.55289316,0.6085734,0.65258765,0.6801326,0.6950412,0.70381165,0.7124269,0.72330546,0.733507,0.73463374,0.71861535,0.6846772,0.6428745,0.607986,0.5907174,0.58996123,0.5947871,0.59196925,0.5749028,0.54594845,0.51325476,0.48629308,0.4712753,0.46960172,0.47607362,0.48381433,0.48704672,0.48625267,0.4867574,0.49739113,0.5248365,0.56770766,0.61597985,0.6547024,0.67497736,0.677232,0.6717062,0.6686971,0.6724121,0.6769338,0.67158127,0.648417,0.6085722,0.56246644,0.52471364,0.5059908,0.50772125,0.52103543,0.5334764,0.53469896,0.5232911,0.5063204,0.49686387,0.50390893,0.525865,0.55071604,0.5663291,0.56879276,0.56379575,0.5609223,0.567787,0.5857492,0.6077154,0.6216042,0.6172118,0.5949684,0.5660855,0.5467505,0.546601,0.56272835,0.5819375,0.59062964,0.58305746,0.5619223,0.5339999,0.50530106,0.47868404,0.4538019,0.42891118,0.40408385,0.38221833,0.36822402,0.36716378,0.38056934,0.40492514,0.43077043,0.450627,0.46141937,0.4666848,0.46952462,0.47301397,0.4771255,0.4801561,0.47650316,0.46222043,0.43818688,0.41262445,0.39514843,0.39172006,0.39983127,0.41113758,0.41701078,0.41533756,0.41043735,0.4092572,0.41607383,0.43156144,0.452219,0.47255504,0.48697558,0.49285528,0.49121663,0.48639306,0.48455513,0.4892801,0.49786544,0.5012776,0.49260736,0.47323903,0.45309624,0.44199726,0.44302043,0.4506006,0.45568624,0.45325026,0.44645175,0.44387123,0.45142075,0.46799043,0.4864389,0.49949482,0.502822,0.4974481,0.48756513,0.4790282,0.4759618,0.48130214,0.4957193,0.5167634,0.5368723,0.5466477,0.5401907,0.5202953,0.4968647,0.4818473,0.48155156,0.49441686,0.5120633,0.52572674,0.52950186,0.52374184,0.5146525,0.5125678,0.52612394,0.55550647,0.5929813,0.62803596,0.65642685,0.67931455,0.69863915,0.71111864,0.71092004,0.69737077,0.6778056,0.66366476,0.65950316,0.6607521,0.6558747,0.6368517,0.6023767,0.5597672,0.51777846,0.48397183,0.46141675,0.45259014,0.45793748,0.4751357,0.49640283,0.51230127,0.5163312,0.5085135,0.49610388,0.49084255,0.5037361,0.5372697,0.58192307,0.6206069,0.63855124,0.6326552,0.61259633,0.59479934,0.5911729,0.6014176,0.613815,0.61407655,0.594976,0.55916446,0.5156786,0.47389325,0.43989715,0.41590205,0.40190458,0.39717886,0.4005139,0.4097266,0.42227662,0.435946,0.4490216,0.45910987,0.4634179,0.46045628,0.45253006,0.44562948,0.44527364,0.45129737,0.45642853,0.45207334,0.43532467,0.41177526,0.391587,0.38362303,0.39044,0.40719905,0.42443618,0.4349273,0.4373854,0.43650988,0.43812203,0.44660175,0.46222338,0.48114052,0.49648452,0.5027103,0.498711,0.48896483,0.48122284,0.48226365,0.49240103,0.50347656,0.5049303,0.49248573,0.4739436,0.463632,0.47502017,0.5110935,0.56441015,0.6198401,0.6653566,0.69582075,0.7144969,0.72697896,0.7388374,0.75076485,0.7577389,0.7495951,0.7195959,0.67087466,0.61796457,0.57786864,0.5604963,0.56278855,0.5728233,0.5777902,0.5714826,0.55501634,0.5339661,0.515037,0.5029249,0.499462,0.50147486,0.5048268,0.50531524,0.50309217,0.5014462,0.5071668,0.5265877,0.5597768,0.59895295,0.6299559,0.64323574,0.63790846,0.62448305,0.6148186,0.61508256,0.6203534,0.620502,0.60809726,0.5840888,0.55628294,0.534823,0.5259829,0.5304396,0.54131037,0.5500739,0.5487344,0.53696746,0.5207563,0.511482,0.5164654,0.53384644,0.55298084,0.5640475,0.5649262,0.5612796,0.5602436,0.56644386,0.5799144,0.5964027,0.6092174,0.6130422,0.60824865,0.60060686,0.5982943,0.60520035,0.61774534,0.6256992,0.6198251,0.5975806,0.56467867,0.5300227,0.50105906,0.4795756,0.4627072,0.4457601,0.42728958,0.40962967,0.39771137,0.39668536,0.40887788,0.4309908,0.452401,0.46292627,0.45906842,0.44793215,0.43911532,0.43966052,0.44888917,0.46090186,0.4664279,0.4593661,0.44016877,0.41706395,0.40112713,0.3998853,0.41183734,0.42659703,0.43198347,0.4225963,0.4032786,0.38489768,0.37788248,0.38716722,0.41036353,0.43898153,0.46419063,0.48171923,0.49377576,0.5048471,0.5185618,0.53433055,0.5472023,0.5495991,0.53662604,0.51195014,0.48685804,0.4748577,0.48087874,0.4991683,0.5166118,0.52467877,0.5243549,0.5247672,0.5341138,0.55344373,0.57416725,0.58312035,0.57044286,0.53747016,0.49558905,0.45919362,0.43845952,0.43773103,0.45689532,0.48958945,0.52357006,0.5438706,0.5432001,0.52629423,0.5080531,0.50215906,0.5124163,0.53115207,0.54635525,0.5512953,0.5483698,0.54611474,0.55269045,0.5697592,0.5938253,0.6178375,0.63796765,0.65124893,0.6572635,0.65592426,0.65080094,0.64668924,0.64560986,0.6459713,0.6446073,0.64334077,0.64574695,0.6546058,0.66427517,0.665467,0.6496567,0.61833614,0.5794161,0.5436859,0.5181119,0.50794655,0.5143332,0.53382623,0.5566842,0.5737651,0.58076054,0.58032113,0.5782767,0.5816483,0.59570986,0.62039775,0.6488164,0.6694026,0.6736479,0.6601815,0.63688225,0.6145375,0.60131454,0.596744,0.59475094,0.58765703,0.57118744,0.54431444,0.5097924,0.47288266,0.43976113,0.4142388,0.39748588,0.38907468,0.3886793,0.3956376,0.40900826,0.42630664,0.44267547,0.45094612,0.44577536,0.42797697,0.4051465,0.38720468,0.37973344,0.38125315,0.38417247,0.38181162,0.37206686,0.35983709,0.3526006,0.35811958,0.37844917,0.40830895,0.43512306,0.44844225,0.44618568,0.4365445,0.43065333,0.43683055,0.4566084,0.4847274,0.5119772,0.5304578,0.5385843,0.5408571,0.5437405,0.54965115,0.55491614,0.551991,0.53655416,0.5111385,0.4861889,0.47446728,0.48837397,0.53152156,0.59677285,0.6647336,0.71689814,0.7439487,0.75169367,0.7524133,0.7564712,0.76409817,0.76716685,0.756336,0.7293489,0.6922448,0.65406317,0.621918,0.5990522,0.5853967,0.57735795,0.56970596,0.55905455,0.54678524,0.5376256,0.53582674,0.5410568,0.54953223,0.55541676,0.5554721,0.54791594,0.53578067,0.526218,0.5317845,0.5615618,0.6130544,0.66979414,0.7108369,0.7261188,0.72138643,0.7133518,0.7123222,0.71545476,0.7092195,0.68513674,0.6461015,0.60354495,0.5674415,0.54310644,0.5322446,0.5348082,0.5468648,0.56182843,0.57234555,0.5764677,0.576919,0.5798867,0.5874409,0.5956929,0.5961728,0.5837721,0.5609395,0.5368176,0.5213895,0.5208597,0.53445053,0.5553445,0.5737653,0.5830881,0.58303076,0.579964,0.5835557,0.60051316,0.62886626,0.6551514,0.6629321,0.6419813,0.59667486,0.54030794,0.4890494,0.45159757,0.42936823,0.4173378,0.41158953,0.41018322,0.41379178,0.42333817,0.43864796,0.4572092,0.47233805,0.47867265,0.4742802,0.46455002,0.45567343,0.45425394,0.46181965,0.47566128,0.4865565,0.48571733,0.47064504,0.4487913,0.4322907,0.42894208,0.43724322,0.44720837,0.44898057,0.4386536,0.42083153,0.40412056,0.397369,0.40511766,0.42575994,0.45142582,0.4735923,0.48816845,0.49759126,0.5068038,0.51898664,0.53246284,0.54095525,0.53754973,0.5200556,0.494759,0.47296694,0.46518037,0.4740536,0.49381992,0.5134377,0.52429205,0.5254131,0.523228,0.526805,0.54027754,0.5592521,0.5713549,0.5649585,0.5375983,0.49868873,0.4626082,0.44125953,0.44036078,0.46032307,0.49442998,0.52974373,0.55062145,0.54942256,0.5310703,0.5115358,0.50660175,0.52295774,0.5545792,0.58726364,0.6070419,0.60750216,0.59381247,0.5801282,0.58096,0.60207003,0.63626623,0.6699993,0.6910011,0.6961263,0.6904095,0.6831582,0.680093,0.6794111,0.6761369,0.6676279,0.6583903,0.65401727,0.658058,0.66720754,0.6750509,0.67410654,0.661336,0.63780856,0.60895574,0.58149475,0.5631934,0.5579764,0.5638554,0.5723577,0.57606626,0.5723476,0.56454104,0.5573824,0.5561855,0.5643925,0.5820107,0.6029677,0.6179178,0.619472,0.60722834,0.5880618,0.5717528,0.5648144,0.56636184,0.56999606,0.56837195,0.5575854,0.53706056,0.50917065,0.47737113,0.44611183,0.41904283,0.39970168,0.3900938,0.39122394,0.4019095,0.4209795,0.4453934,0.46931276,0.48281434,0.47811761,0.455524,0.42542252,0.40256438,0.39650837,0.40594718,0.4186822,0.4214392,0.40852252,0.38633895,0.36748013,0.3630698,0.3760638,0.40017378,0.4231929,0.4345437,0.4307754,0.4174728,0.4046786,0.40225887,0.4135934,0.43419334,0.45389163,0.46460772,0.4655087,0.46287417,0.46504113,0.47628343,0.4937556,0.5081553,0.5105705,0.4988347,0.4819412,0.47590876,0.49787188,0.55526775,0.64139116,0.73641396,0.81959134,0.8784166,0.9110105,0.92071986,0.91261625,0.8928652,0.8675418,0.8397786,0.80849916,0.77168363,0.7298877,0.68711615,0.64737445,0.612169,0.57990354,0.5490287,0.52021575,0.49709025,0.48329636,0.48026237,0.48562506,0.49542108,0.5055197,0.5136681,0.51807314,0.5185353,0.5171079,0.5199154,0.53336465,0.557858,0.5846569,0.59981054,0.59686726,0.58227295,0.57265985,0.5769715,0.58899593,0.5911255,0.5727436,0.5376875,0.49959466,0.47079924,0.45784116,0.46300125,0.48396444,0.5127879,0.5378452,0.55057544,0.5513831,0.54823965,0.55088645,0.5628453,0.57892287,0.5884116,0.583186,0.56454045,0.54292077,0.5331538,0.5459413,0.5834028,0.6380624,0.69967026,0.75948614,0.8108921,0.8435078,0.84632534,0.81500673,0.76097864,0.7070194,0.67605644,0.6769595,0.69761467,0.7107673,0.6905486,0.62989086,0.5429618,0.45322582,0.37848696,0.32453105,0.28822243,0.2626033,0.24160446,0.22209609,0.20478451,0.1920266,0.1850454,0.18214445,0.18010686,0.17685121,0.17273438,0.16935603,0.16751628,0.1667015,0.16641104,0.16727336,0.17106901,0.17857039,0.18895473,0.19913472,0.20647623,0.20892031,0.20688306,0.2016989,0.19684035,0.1961509,0.20363206,0.22034079,0.24423158,0.27029216,0.29397082,0.31243074,0.32548097,0.33403197,0.33965325,0.3440279,0.34845826,0.35458556,0.36368704,0.37669182,0.3905457,0.39938793,0.39799532,0.38765386,0.37598014,0.37220433,0.38144088,0.4002565,0.41511264,0.40844604,0.37039337,0.30943686,0.24634273,0.20084578,0.17931432,0.17798616,0.18983102,0.21012346,0.2353413,0.26153246,0.28513584,0.30429852,0.31988135,0.3334948,0.34609118,0.35753,0.36745167,0.3764901,0.38658595,0.40005472,0.41783014,0.43675038,0.45167014,0.45807505,0.45574728,0.44710472,0.4351102,0.42275646,0.41091564,0.3984232,0.3809893,0.35861066,0.33837545,0.33400866,0.3551927,0.3995585,0.4501808,0.48557675,0.49235722,0.47427464,0.4458432,0.422251,0.410544,0.41204488,0.4242413,0.4424521,0.4597831,0.470746,0.47455236,0.47449997,0.4746299,0.47671974,0.48123202,0.48814133,0.49782154,0.5096259,0.52204674,0.5327714,0.539529,0.5406499,0.53588444,0.5266375,0.5150173,0.50174206,0.48620355,0.46680045,0.44273603,0.41298056,0.37707448,0.33603278,0.2937454,0.25511298,0.2222477,0.1935785,0.16647951,0.14154574,0.122328304,0.11223713,0.1110754,0.11541138,0.12099788,0.12538634,0.1286484,0.13224465,0.13739131,0.14353922,0.14919682,0.15322043,0.15682004,0.16238277,0.1717562,0.18391168,0.19576643,0.20389394,0.20643032,0.2035923,0.19766648,0.19285308,0.19420369,0.20471726,0.22328718,0.2445486,0.26349124,0.27839836,0.291613,0.30551043,0.31972563,0.33159938,0.33902347,0.3435676,0.35002387,0.36316034,0.3828999,0.4017991,0.41001758,0.40278006,0.38564965,0.37086007,0.36917436,0.38305143,0.4025425,0.4096413,0.3881791,0.33706224,0.27198508,0.2149602,0.18012959,0.16918822,0.17624925,0.19471961,0.21922462,0.2456187,0.27019325,0.29136196,0.30945265,0.3265628,0.3445997,0.3649293,0.38723826,0.40901664,0.42553797,0.433996,0.43799996,0.4481932,0.47350967,0.51142377,0.545734,0.5580527,0.5435331,0.5149073,0.49081686,0.47636113,0.46076107,0.4297831,0.3834926,0.33511057,0.29964063,0.282532,0.28086206,0.28887835,0.30179238,0.31600466,0.3287244,0.33891582,0.34748045,0.3566421,0.3678402,0.3805009,0.39215603,0.40045682,0.40513816,0.4087623,0.4151243,0.42705527,0.44450083,0.46483186,0.48432747,0.5003803,0.51277286,0.5233657,0.53487736,0.54828566,0.56220144,0.5722871,0.57445556,0.5662251,0.54839784,0.5236309,0.49444547,0.46272275,0.42778012,0.38957572,0.3482958,0.30764747,0.27010006,0.23635606,0.20395924,0.17266096,0.14544062,0.1273244,0.12049603,0.12292703,0.12978476,0.13666242,0.14173108,0.14537066,0.14898784,0.15289856,0.1566286,0.15955174,0.16253042,0.1674627,0.17563082,0.1864885,0.19723041,0.20515637,0.20802486,0.20591225,0.20009969,0.194479,0.19360197,0.20146911,0.21802492,0.23936598,0.25994313,0.27664542,0.28998578,0.30214766,0.31424978,0.32490012,0.33247438,0.33648178,0.3402504,0.348001,0.3627611,0.38082805,0.39425495,0.39579985,0.3860905,0.37332705,0.36803126,0.37646064,0.39555946,0.41132018,0.40541387,0.36746004,0.30600983,0.2423768,0.19701661,0.17675364,0.17759295,0.19185697,0.21408547,0.24061279,0.26764357,0.29192123,0.31172922,0.32846484,0.34519657,0.36507258,0.38934138,0.41553023,0.43786302,0.4499822,0.45201817,0.45286396,0.46592402,0.49615517,0.5341001,0.5588596,0.55486417,0.52228963,0.4785061,0.44139734,0.41697586,0.3970246,0.37398195,0.35144088,0.34366974,0.36211216,0.40477398,0.45426595,0.48874915,0.49491727,0.47659674,0.44812962,0.4244636,0.41261527,0.41409647,0.42657003,0.4453136,0.46324456,0.47467467,0.47881344,0.47911772,0.47990218,0.48312208,0.48920456,0.497907,0.5093704,0.52295583,0.537363,0.5505095,0.56005794,0.56394726,0.5614607,0.55373496,0.54308146,0.53086233,0.51778966,0.50375026,0.4887676,0.47053337,0.44546732,0.41133532,0.3707869,0.32964948,0.29149923,0.25560737,0.2197973,0.18569595,0.15829976,0.14214946,0.1374482,0.14069426,0.14729546,0.15395057,0.15941484,0.16378254,0.16760685,0.17067051,0.17265733,0.17378007,0.17589225,0.1810088,0.18984179,0.20054686,0.20995422,0.2152435,0.21523131,0.21055736,0.20378458,0.19904663,0.20119934,0.21253681,0.23158346,0.25273088,0.27129924,0.28529337,0.29664657,0.30730423,0.3176651,0.326205,0.33156428,0.3348757,0.3401176,0.3516337,0.3695997,0.3873404,0.3957797,0.3906618,0.37708148,0.36623737,0.36757278,0.38305917,0.4027841,0.4094659,0.38758847,0.33680215,0.2729943,0.2178973,0.18490733,0.17504771,0.18232566,0.2005434,0.22513883,0.25259236,0.27936557,0.3033668,0.32405677,0.3429744,0.36199358,0.38297668,0.40611562,0.42949128,0.44881475,0.46116182,0.4688582,0.48048773,0.5039044,0.537662,0.56852406,0.58048505,0.56892926,0.54488176,0.525552,0.5165798,0.5087991,0.48838678,0.4531888,0.41329646,0.38243484,0.36710766,0.3661132,0.37351838,0.383209,0.39034903,0.39298368,0.39192262,0.390227,0.39129063,0.39706394,0.40676773,0.4174308,0.4261321,0.43223086,0.4380208,0.44685948,0.46094155,0.47966793,0.5001542,0.5187096,0.53277594,0.54208285,0.5484226,0.5544974,0.56150514,0.56822056,0.57063174,0.5648638,0.5482484,0.51943374,0.47647116,0.417763,0.34645534,0.2715104,0.20468056,0.1527641,0.11607518,0.09059206,0.072527446,0.059367847,0.049498532,0.04189356,0.036049165,0.03178418,0.028626176,0.025991382,0.023439446,0.021070825,0.019090386,0.01768657,0.016713709,0.016005447,0.015333663,0.01459977,0.013726301,0.012746056,0.011743856,0.010835038,0.01007579,0.0094272345,0.008804602,0.008144901,0.007481364,0.006896142,0.006456177,0.0061263065,0.0058083367,0.0054199267,0.0049735606,0.00455405,0.0042348737,0.004019094,0.003840971,0.0036326686,0.003367903,0.0030800055,0.0028204795,0.0026252076,0.0024817924,0.0023528885,0.002201492,0.00202721,0.0018541892,0.0017119689,0.0016076085,0.0015265715,0.0014460682,0.0013508946,0.0012444392,0.0011417135,0.001061123,0.0010029954,0.0009534292,0.0008903596,0.0008113805,0.0007299715,0.0006687311,0.0006320298,0.00060864346,0.00057912007,0.00053676945,0.00048777132,0.0004450841,0.00041486186,0.00039328376,0.00037044645,0.00033945707,0.000302505,0.00026852504,0.000245696,0.00023367383,0.00022507405,0.00021168574,0.00019200575,0.00017054398,0.00015349011,0.00014242165,0.00013402081,0.00012310506,0.000107689964,9.0043155E-05,7.439989E-05,6.320147E-05,5.5789045E-05,4.9727965E-05,4.311302E-05,3.5593406E-05,2.8013057E-05,2.117313E-05,1.5429521E-05,1.0724173E-05,7.3481883E-06,5.827843E-06]