[0.09009686,0.10989616,0.15338056,0.20437269,0.23962557,0.24308163,0.21650194,0.17729305,0.14308015,0.12109029,0.10811922,0.09797909,0.087782,0.07785866,0.06951584,0.061619166,0.05256358,0.04198605,0.03283718,0.028755188,0.03161007,0.03916663,0.04612774,0.047009226,0.03999498,0.028318172,0.018199962,0.014957871,0.019357054,0.02758129,0.03314309,0.03203463,0.024585098,0.01554979,0.00967857,0.009582101,0.013993692,0.019568251,0.022205496,0.020231925,0.015003591,0.010631107,0.010997452,0.017400308,0.027344465,0.03546613,0.03717205,0.03137313,0.021943204,0.014561853,0.0139501495,0.020014146,0.0287659,0.033669323,0.03146566,0.023368752,0.01520175,0.012144846,0.016181068,0.024400579,0.03132424,0.032238696,0.026432835,0.017465098,0.010419904,0.008727405,0.012244739,0.018331794,0.02347195,0.026384756,0.027536971,0.02884336,0.03090713,0.034156073,0.037877914,0.04081482,0.04023485,0.034570035,0.025305226,0.017237695,0.015560579,0.021865664,0.032891218,0.041610707,0.042566743,0.03492592,0.023734033,0.015456065,0.014768302,0.020919269,0.029368194,0.033576403,0.030655438,0.022142038,0.013628059,0.009587686,0.011423439,0.016600331,0.021021808,0.021469595,0.017553734,0.011980365,0.008716982,0.011098149,0.019251982,0.029950129,0.037227977,0.037044417,0.02961065,0.020264743,0.015016675,0.017042652,0.024221541,0.031085903,0.03239907,0.026993679,0.018775547,0.015120176,0.024091318,0.049927104,0.089602746,0.1313631,0.16170794,0.1730044,0.16833021,0.15629642,0.14494248,0.13778679,0.13527216,0.1369326,0.14269714,0.152649,0.16651137,0.1838694,0.20463474,0.22851871,0.25408927,0.27848676,0.2985417,0.31239024,0.3215121,0.33252954,0.35273138,0.38411477,0.41757932,0.4424856,0.45324993,0.4552077,0.45360938,0.4513339,0.4462038,0.43839583,0.43013164,0.42532885,0.42495298,0.4256737,0.42285156,0.41486678,0.40510646,0.3963783,0.387913,0.37479672,0.35520676,0.33190522,0.31341955,0.30624592,0.31172195,0.32233047,0.32877913,0.3256857,0.31574878,0.30622476,0.3037765,0.3128357,0.3326206,0.3587391,0.38137826,0.39307213,0.39098892,0.38094708,0.37059745,0.36512563,0.36309794,0.35972643,0.351207,0.33815458,0.32468227,0.31514573,0.3111987,0.31115136,0.3120724,0.3128452,0.31673837,0.3302171,0.35847688,0.39938483,0.44281244,0.4765935,0.4960746,0.50587064,0.51480156,0.52728677,0.5434656,0.5606983,0.5772526,0.59050035,0.59834665,0.59924674,0.59358,0.5840943,0.57583255,0.5754261,0.5854333,0.60264117,0.61700344,0.62119573,0.6134887,0.6015612,0.5910871,0.58383065,0.57466054,0.5627267,0.5499955,0.5404969,0.5331709,0.5265233,0.52072406,0.52020496,0.5296033,0.5503815,0.577346,0.597994,0.6003685,0.5801947,0.54636973,0.5126613,0.4912031,0.48611006,0.4948586,0.51142794,0.52966386,0.5465355,0.5596029,0.56756616,0.5683621,0.56230325,0.54950136,0.5318706,0.51147985,0.49287343,0.47814068,0.4676229,0.45767,0.4466355,0.432806,0.418632,0.4061778,0.40117887,0.4086865,0.43428668,0.47699866,0.52796936,0.5732856,0.6015341,0.6103179,0.60288227,0.58821565,0.5749619,0.5704789,0.57166356,0.57029957,0.55770105,0.5345239,0.5051466,0.4753627,0.4483858,0.42791423,0.41622925,0.41317412,0.41643703,0.42290768,0.43044767,0.4356407,0.43559253,0.42929825,0.42195964,0.42138538,0.43255234,0.4517291,0.4696455,0.47783104,0.47539517,0.4698957,0.47394595,0.49596635,0.5331356,0.5724416,0.6004743,0.61355346,0.6153663,0.61299795,0.60801977,0.60105914,0.58954525,0.5748816,0.55711025,0.5389635,0.52125907,0.5097398,0.5094431,0.52386755,0.5467035,0.5689823,0.58322495,0.5884077,0.5843763,0.56942165,0.54100794,0.5002391,0.45402154,0.41395637,0.3913748,0.3914673,0.41021296,0.43688086,0.46214423,0.48279223,0.5030402,0.5271959,0.5551812,0.57919234,0.588661,0.577118,0.5487401,0.51841944,0.5015194,0.5038615,0.51622015,0.5263149,0.527174,0.522101,0.5133424,0.49995506,0.479817,0.4574789,0.4410888,0.43402347,0.4317039,0.42673764,0.41928938,0.4168106,0.42903742,0.4594984,0.5061686,0.56178087,0.61550254,0.65410906,0.6698251,0.66536254,0.6523156,0.63980204,0.63100106,0.62304145,0.61500543,0.60627884,0.59837013,0.59185714,0.5881934,0.5871206,0.5861654,0.58101034,0.5687763,0.55046016,0.5297804,0.51027435,0.49405846,0.48495272,0.48642984,0.49925366,0.51560056,0.52808064,0.53225344,0.53140426,0.52666837,0.5185414,0.5062801,0.49231932,0.47946718,0.46874562,0.46053085,0.4557005,0.4588246,0.47326544,0.4989631,0.52843326,0.553291,0.56826967,0.57515484,0.5773061,0.57738036,0.5743325,0.5678424,0.55876637,0.5515937,0.5495853,0.55294794,0.5572086,0.55696815,0.548395,0.52967715,0.5025202,0.47265676,0.44988826,0.44142678,0.44950536,0.4691083,0.49359262,0.51453584,0.52821106,0.53356797,0.5334392,0.5273931,0.51365,0.4908136,0.46176314,0.4320815,0.40753135,0.39231634,0.38803676,0.3946502,0.4110304,0.43501398,0.4614263,0.48369312,0.49770603,0.50536877,0.51241916,0.52338415,0.5388742,0.5548559,0.56646436,0.5690093,0.56126666,0.54392046,0.5209863,0.49696037,0.47639164,0.4605687,0.4517542,0.45198607,0.46523058,0.488865,0.5179911,0.5442044,0.5633237,0.5715816,0.5678821,0.5525496,0.5292824,0.5051057,0.4873147,0.4806771,0.4823798,0.48623005,0.4855161,0.4805125,0.47421524,0.47362396,0.48055515,0.49346355,0.50329715,0.50557584,0.5007853,0.4954513,0.49279287,0.4943147,0.5024109,0.5192032,0.5416705,0.55949235,0.56520844,0.5604396,0.5561022,0.55969936,0.56853205,0.5709266,0.5600011,0.54020804,0.525181,0.52382725,0.5358281,0.5524809,0.5651755,0.5672868,0.55576396,0.5320963,0.50334007,0.48205948,0.47742638,0.49093875,0.511493,0.52632046,0.5250508,0.506469,0.47290352,0.43306515,0.39873967,0.3852891,0.39932072,0.43669403,0.4788877,0.5091122,0.5174441,0.50909126,0.4922379,0.47366548,0.45364156,0.43245268,0.4140941,0.40521845,0.4127989,0.4362153,0.46912184,0.49620986,0.5057722,0.49203858,0.46552667,0.4440564,0.4461981,0.475268,0.5196495,0.5601987,0.5876389,0.60423034,0.6176071,0.6278644,0.6307423,0.6233456,0.60972214,0.5967035,0.58874696,0.5874012,0.59083843,0.5964799,0.6001311,0.5998016,0.5965123,0.59437394,0.59546286,0.5970559,0.592249,0.5764691,0.5506475,0.5227542,0.50332123,0.5010085,0.51655775,0.5404255,0.5577597,0.55655354,0.53550416,0.50362784,0.4753184,0.46256673,0.46847078,0.48624697,0.5035656,0.5107305,0.5056377,0.49360332,0.48265234,0.47861537,0.48264587,0.49411556,0.5110516,0.5307596,0.54472,0.5459245,0.5326644,0.516234,0.50937515,0.52066845,0.54596686,0.5752489,0.5976532,0.6083322,0.60837007,0.5999064,0.5850876,0.5650997,0.5447522,0.5259321,0.50817114,0.4869813,0.46612814,0.4553187,0.46787676,0.5041821,0.5539866,0.59838504,0.6282117,0.64189595,0.64592075,0.6400058,0.62007946,0.5817811,0.53040886,0.4820843,0.4525204,0.4487604,0.46198753,0.47957066,0.49100685,0.49508047,0.49435484,0.4932545,0.49431777,0.49852443,0.50459033,0.50911385,0.50535804,0.48644552,0.45017877,0.40420115,0.36128524,0.33252788,0.3215367,0.32636428,0.34212407,0.36280668,0.3829228,0.39977404,0.41462612,0.430609,0.446602,0.45702556,0.45422828,0.44033024,0.42571282,0.42548713,0.44397315,0.47549066,0.5040212,0.5169429,0.50798416,0.48623228,0.46598613,0.4605411,0.47052658,0.4902463,0.51124126,0.52760255,0.53379464,0.52669084,0.507055,0.48036838,0.45482528,0.43695748,0.4289329,0.42632785,0.42319754,0.416121,0.40932277,0.40977636,0.42348504,0.44602728,0.46717533,0.47447857,0.4684097,0.45813587,0.45673907,0.4662017,0.4803426,0.49096966,0.49667838,0.5010698,0.5073186,0.51530653,0.52268577,0.52631736,0.5207568,0.49950305,0.4597223,0.40862462,0.36044312,0.32842633,0.31632563,0.31935132,0.32887992,0.3372997,0.3397839,0.3351325,0.32792026,0.32710898,0.34268248,0.37429336,0.41151202,0.43741497,0.4480845,0.4510235,0.4616908,0.48400512,0.51160526,0.52935123,0.5278296,0.50815254,0.48485997,0.47426012,0.48476195,0.5115038,0.5437643,0.5712263,0.58657926,0.58444643,0.56135935,0.5182882,0.46169683,0.40392122,0.35835359,0.33378693,0.32885134,0.33572698,0.34668818,0.36047247,0.37960505,0.40319026,0.4255489,0.43912223,0.44594136,0.45380223,0.47213593,0.49901876,0.5260702,0.54363793,0.5504964,0.55148286,0.553538,0.5591297,0.5670635,0.5730536,0.5732019,0.5613808,0.53317386,0.48949465,0.441946,0.40563086,0.38780177,0.38268128,0.37809625,0.36823896,0.35574448,0.34759426,0.34618267,0.35102344,0.36060533,0.37746477,0.40013456,0.4240968,0.4390837,0.44433823,0.44553277,0.45509884,0.47606468,0.50100595,0.5159392,0.5127587,0.4993293,0.4910579,0.50096124,0.5266045,0.55835265,0.5848525,0.5994118,0.59564954,0.56904775,0.51940984,0.45554423,0.39351964,0.35042384,0.33553824,0.3453571,0.36745355,0.3888068,0.40440604,0.416813,0.43304345,0.45391127,0.47453454,0.4844688,0.4831159,0.47698852,0.4784732,0.49014592,0.5079741,0.5237352,0.5347292,0.5430315,0.5538022,0.5693026,0.5867607,0.5986784,0.59778947,0.57945484,0.54336005,0.4934658,0.43883184,0.3913776,0.36048087,0.34888566,0.3516487,0.3607694,0.36923143,0.37531674,0.38173667,0.39282322,0.4104997,0.43073896,0.44704294,0.4527925,0.45088133,0.44811353,0.4542136,0.4690539,0.48807034,0.4991856,0.49461946,0.4705521,0.43736586,0.40932247,0.39989635,0.4082928,0.42530063,0.4351959,0.42578653,0.39050844,0.3351761,0.27336216,0.2209375,0.18608212,0.16970639,0.1672646,0.172804,0.18007104,0.18456423,0.18754967,0.19657679,0.22266664,0.26866078,0.32628176,0.37781978,0.4133587,0.43383577,0.45032597,0.46862033,0.4872869,0.49914154,0.5002036,0.4918904,0.47927365,0.46818197,0.46337628,0.46774527,0.47730663,0.48170683,0.46907556,0.43988204,0.4049852,0.37825337,0.361043,0.3474685,0.33125058,0.31455025,0.30216032,0.2968752,0.29895055,0.3096012,0.33332482,0.3695182,0.41097894,0.44359565,0.46301782,0.47506264,0.4936885,0.5225618,0.5521509,0.5637408,0.5459332,0.505583,0.4647486,0.44523028,0.45422438,0.48394093,0.5220568,0.5560847,0.57552236,0.5700593,0.5385706,0.4896175,0.44028643,0.404398,0.3880969,0.38781452,0.39592934,0.40440378,0.40943062,0.411122,0.41495433,0.42454252,0.44118938,0.45891765,0.47526702,0.48957834,0.50662977,0.5260845,0.54510146,0.5580761,0.5624694,0.5585243,0.5487158,0.5364182,0.5253379,0.5181499,0.51576,0.51312774,0.50269043,0.47605836,0.4356636,0.39177957,0.36111328,0.3515117,0.36106393,0.37805018,0.39393094,0.40715638,0.42189953,0.43936917,0.4554709,0.4650552,0.4655429,0.45802835,0.44456258,0.43123403,0.4259067,0.4364475,0.4626455,0.49439195,0.51646423,0.5176494,0.50256544,0.48510662,0.4817233,0.49593592,0.5250409,0.5599237,0.5936358,0.61457807,0.61411804,0.5864301,0.53755367,0.47831666,0.42149627,0.3740344,0.33901283,0.31810555,0.31280813,0.32348138,0.34643295,0.37693024,0.4080228,0.4346095,0.4507664,0.45802197,0.46067443,0.46675244,0.47748116,0.4915011,0.5049665,0.5165286,0.52468973,0.5269205,0.5204106,0.5046992,0.48494402,0.4668602,0.45225373,0.43519083,0.41163242,0.38344482,0.35809767,0.33833048,0.3223349,0.306227,0.28982672,0.27327827,0.25832507,0.24847715,0.25094703,0.27211818,0.31002483,0.35547397,0.3955772,0.4277372,0.45610443,0.4891735,0.5253877,0.55751175,0.5725556,0.5643714,0.53336394,0.49436092,0.46425262,0.45665595,0.46874383,0.49129406,0.51270026,0.52784044,0.53161246,0.5218372,0.498201,0.4676175,0.43807527,0.4150114,0.39643335,0.37676266,0.3525269,0.3265189,0.30761898,0.30489096,0.322111,0.35448822,0.39268827,0.42942008,0.46366116,0.49718466,0.53023416,0.5594789,0.5827582,0.5990486,0.6093114,0.613499,0.6139223,0.6143591,0.6190929,0.6293915,0.6420135,0.6512087,0.6502471,0.63695294,0.6133701,0.5857158,0.55741674,0.5281988,0.49489236,0.4575477,0.42152074,0.39431444,0.38114023,0.38180885,0.39477563,0.4155828,0.43937883,0.45869708,0.4733545,0.48821306,0.51142246,0.54118663,0.5650969,0.56633186,0.5362396,0.48456907,0.43266985,0.40293702,0.40321818,0.42984483,0.47127733,0.5158906,0.5512777,0.56907755,0.5668164,0.5492057,0.52084523,0.48313788,0.43404052,0.37540683,0.31553945,0.26731285,0.24113195,0.2403233,0.26337332,0.30282772,0.34985754,0.39145222,0.42306626,0.44536558,0.46676967,0.48918185,0.51115316,0.5284012,0.5408187,0.5499092,0.55632,0.5593061,0.55898845,0.5571943,0.55448514,0.5460884,0.5241957,0.4840026,0.43051383,0.37530458,0.33005965,0.30033138,0.28631088,0.2851638,0.29265904,0.30435172,0.31762052,0.3334233,0.35622048,0.3883673,0.42693198,0.4620606,0.48668718,0.5011782,0.51493686,0.5345846,0.55883807,0.57505506,0.5720134,0.54600996,0.51095307,0.48488188,0.4827014,0.502148,0.53346014,0.5625797,0.58029443,0.57858783,0.55557114,0.5155943,0.4719896,0.4385197,0.42193314,0.41681722,0.41171297,0.3989757,0.3804979,0.3658781,0.36412036,0.37836668,0.4005475,0.41837618,0.42026436,0.4091759,0.3951839,0.39154127,0.4000019,0.41706315,0.43623278,0.45495665,0.472064,0.4864833,0.49682686,0.50145525,0.5004869,0.49377367,0.4809302,0.45947492,0.43040892,0.3988581,0.3740003,0.36106405,0.36034265,0.36714312,0.37677994,0.38502252,0.3899398,0.39163792,0.3922025,0.39496863,0.39956155,0.4044124,0.40474498,0.40415254,0.40728438,0.42228436,0.445788,0.47110495,0.4842595,0.47830117,0.45121548,0.4154577,0.3858579,0.37604645,0.38568822,0.40727964,0.4278268,0.4386518,0.4355986,0.42230788,0.405202,0.3899136,0.37773868,0.36722982,0.3568189,0.34501186,0.3308713,0.3154256,0.30463743,0.30887535,0.33464384,0.37884155,0.4274054,0.4686675,0.49922332,0.5253864,0.5507805,0.5741169,0.5898048,0.5962403,0.5953596,0.5924979,0.59144855,0.5944455,0.5990146,0.60000414,0.5890189,0.56128746,0.5179308,0.47063825,0.43269733,0.4127618,0.40718326,0.40672565,0.4032108,0.39536044,0.3864919,0.3794266,0.37488905,0.37218404,0.37423334,0.38331887,0.4001908,0.41847005,0.4355454,0.4529734,0.4793756,0.5167845,0.55659777,0.5824721,0.582376,0.56227565,0.53910583,0.5321238,0.5451328,0.57397145,0.60829353,0.6400416,0.6563523,0.6457506,0.60333747,0.53939575,0.47287393,0.4206572,0.38743046,0.36681667,0.34946,0.3317363,0.3166827,0.31022775,0.31693712,0.33918062,0.37584165,0.42019114,0.46099332,0.48800638,0.49805868,0.49471512,0.48324478,0.4667889,0.44764948,0.43034157,0.4207712,0.42170402,0.4309502,0.44592097,0.46880937,0.5032162,0.5448439,0.57795405,0.585365,0.560987,0.5131919,0.45565212,0.39851353,0.34617075,0.30073687,0.26441407,0.23910235,0.22704364,0.23169552,0.2565731,0.2998217,0.35050976,0.3936236,0.41913107,0.42813554,0.42765558,0.4241784,0.41889486,0.41108847,0.40022942,0.38824168,0.37765837,0.3705496,0.36824682,0.37182912,0.38256577,0.39876604,0.41534635,0.42572698,0.42704883,0.4206436,0.40844023,0.3896841,0.36231685,0.32704902,0.28920534,0.2569091,0.23914818,0.2428331,0.27234718,0.32286564,0.3827195,0.4336946,0.46701023,0.48271632,0.49183986,0.50026506,0.50850606,0.5094399,0.49915636,0.47993842,0.46193597,0.4558771,0.4665986,0.4901661,0.51754814,0.54010457,0.5525158,0.55306345,0.54274017,0.525414,0.5071508,0.49397373,0.4885887,0.4894775,0.49340823,0.49966446,0.51093507,0.52986526,0.5525988,0.5647313,0.5492959,0.49948695,0.4335173,0.38396552,0.37986752,0.42159137,0.48257494,0.52363575,0.51934546,0.47322348,0.41565597,0.3840319,0.399143,0.4546846,0.5252331,0.58272463,0.6119372,0.61463785,0.60531217,0.5983424,0.59874076,0.5991745,0.5877025,0.55729276,0.51300734,0.46948132,0.4435362,0.44327596,0.4659129,0.494836,0.51145107,0.49975833,0.46434245,0.42057744,0.3902327,0.37903228,0.38254857,0.38867798,0.3912778,0.3895382,0.3885943,0.3957958,0.4170239,0.45281044,0.49691203,0.5394346,0.5711488,0.5867767,0.5864741,0.57544374,0.5611861,0.5497126,0.54124236,0.53192407,0.51630133,0.49420667,0.47031853,0.4540899,0.451691,0.46289,0.47644225,0.47903302,0.46331772,0.4373457,0.41684863,0.41396657,0.42890337,0.44908822,0.46087527,0.45382956,0.43381512,0.41306403,0.40665558,0.41704652,0.440714,0.47041225,0.5005557,0.52230495,0.52504635,0.50244784,0.4607426,0.4183177,0.39474866,0.39824784,0.42121184,0.45012903,0.47594395,0.4994769,0.5233168,0.5472564,0.5623386,0.5604257,0.5367777,0.5003825,0.46268818,0.43577465,0.42167366,0.42134488,0.4324317,0.45279813,0.4750526,0.49066195,0.49338806,0.48513588,0.47618583,0.47903815,0.4982277,0.52611613,0.54839426,0.55782646,0.5576948,0.5593652,0.5701525,0.59105307,0.6175058,0.6451108,0.6715706,0.69408655,0.7099226,0.71557045,0.7078368,0.6824987,0.63687855,0.5775743,0.5181928,0.47476807,0.4526089,0.45077142,0.45989823,0.47103643,0.47225046,0.46138477,0.44374382,0.43399358,0.4418105,0.46956518,0.5088958,0.5477671,0.5756717,0.58906555,0.5917025,0.5894015,0.58705896,0.58379835,0.5772665,0.56241375,0.5386289,0.5061862,0.47055408,0.43676236,0.41164723,0.39609686,0.38771698,0.3807008,0.37521657,0.37500095,0.3842986,0.40004387,0.41300082,0.41349617,0.39781022,0.3716954,0.34515134,0.32805336,0.32559356,0.33996263,0.36838734,0.40242538,0.42981648,0.44375443,0.44799125,0.45387146,0.46891686,0.4921322,0.5156865,0.53316784,0.54184955,0.5422721,0.5359923,0.52488554,0.512366,0.49810073,0.48096332,0.45844984,0.43833005,0.43173876,0.4487934,0.48432708,0.52007526,0.53272724,0.5089647,0.45726445,0.4031835,0.37500286,0.3838079,0.4201863,0.46197248,0.48899606,0.49268043,0.4789109,0.46351036,0.4620541,0.48066306,0.5122553,0.5423085,0.5573779,0.55336463,0.5353339,0.515004,0.50304985,0.5052541,0.5142954,0.5145533,0.48999974,0.44400075,0.39745477,0.37784946,0.39598727,0.44198406,0.49233165,0.5252953,0.5309128,0.5120589,0.48043895,0.44890463,0.42845175,0.42673793,0.44578815,0.4804276,0.5170748,0.54286087,0.55010825,0.5423314,0.5281966,0.51863927,0.52043486,0.5336346,0.5495727,0.5543247,0.5384329,0.5047882,0.4671683,0.43740666,0.41678894,0.3992032,0.38397384,0.38004628,0.39774123,0.43596575,0.47616506,0.49564353,0.48138288,0.44591,0.41331986,0.40711752,0.42988682,0.47152397,0.5134959,0.5436806,0.55533236,0.5508361,0.53402823,0.5096202,0.48097312,0.45417723,0.43597507,0.4291871,0.43026078,0.43293545,0.4359045,0.44336942,0.46158668,0.48796976,0.5127763,0.52306503,0.51995087,0.5159607,0.52756125,0.5558791,0.5864184,0.6009137,0.5914247,0.5652804,0.533161,0.5035637,0.479319,0.46587768,0.46812764,0.48591194,0.50841135,0.5224567,0.5225217,0.5154779,0.5119489,0.51714283,0.52698827,0.5346005,0.53513354,0.5272139,0.5115836,0.4915998,0.47474757,0.46502802,0.45976782,0.44869825,0.4290111,0.40586868,0.3913317,0.390377,0.4041717,0.4253651,0.44546953,0.45277306,0.4487373,0.44509873,0.4605607,0.49964285,0.55191547,0.59738684,0.6225285,0.625513,0.6144938,0.5985494,0.5826103,0.5663614,0.54931664,0.5313424,0.5134441,0.49549377,0.47986746,0.47094896,0.47387037,0.48556224,0.4953171,0.4890901,0.4653981,0.43600667,0.42141998,0.43265846,0.4661661,0.50325197,0.52356696,0.5162769,0.48969206,0.46558872,0.46619263,0.49827257,0.5508368,0.6029148,0.63718915,0.64733887,0.63739115,0.6179757,0.59932286,0.58864325,0.58274585,0.57259196,0.5472934,0.5082774,0.4674876,0.44308224,0.44380924,0.46635208,0.49343374,0.5087835,0.50316256,0.48593476,0.47090116,0.47055128,0.4818996,0.49432564,0.49380586,0.47257316,0.43440148,0.39198324,0.3635882,0.36036098,0.38614368,0.43223438,0.48567748,0.5308107,0.560966,0.5758934,0.58218473,0.58356357,0.5822146,0.5777709,0.57150984,0.56588274,0.5614185,0.557169,0.55023783,0.54305345,0.5357249,0.52767503,0.5120513,0.4907161,0.46971074,0.4586003,0.45509145,0.45004418,0.43188152,0.39652872,0.3464506,0.28834048,0.2298231,0.17992826,0.14847071,0.14300531,0.15916179,0.1804068,0.18452221,0.16339117,0.1248214,0.08708041,0.06037048,0.045653794,0.037367113,0.032112535,0.028594652,0.02838911,0.035671946,0.059273403,0.10615355,0.17652364,0.2575933,0.33346236,0.3905203,0.42655456,0.44383502,0.4480741,0.43779898,0.4088535,0.35489824,0.2836811,0.21235597,0.16431727,0.14966713,0.16643523,0.19716848,0.22093116,0.21745151,0.18329744,0.13073833,0.08252891,0.053164806,0.04431118,0.046959903,0.051204797,0.05183187,0.0492703,0.050087262,0.06367514,0.100953124,0.16375221,0.2437628,0.32127154,0.3832163,0.426258,0.45896944,0.4859768,0.505657,0.5117063,0.5015858,0.47980747,0.45364448,0.4314238,0.41902542,0.42213574,0.44061187,0.4677709,0.49088326,0.50183815,0.5016211,0.4986198,0.4990045,0.5020729,0.5033296,0.50012314,0.4954027,0.49270067,0.49480915,0.50086415,0.5109286,0.5207193,0.5239675,0.5125448,0.48883656,0.4638907,0.45309258,0.4619321,0.48412833,0.50288075,0.5031646,0.4803705,0.44687772,0.4208659,0.4158651,0.43078837,0.45806286,0.48658192,0.50894994,0.51971394,0.5217635,0.5217493,0.52662086,0.5335884,0.53344494,0.51681954,0.48339322,0.4417561,0.40424836,0.38076827,0.37620652,0.3879999,0.40960798,0.4317472,0.45260525,0.4716864,0.490505,0.5028582,0.50500745,0.49510813,0.47749057,0.45669708,0.43768457,0.4253671,0.42292777,0.43229055,0.45220795,0.4795229,0.50740343,0.5292402,0.5431283,0.5544183,0.5692823,0.5869109,0.59443134,0.5779107,0.53267545,0.47396538,0.42389056,0.40017715,0.40295732,0.42298985,0.4460025,0.46224847,0.46484086,0.45608616,0.44420776,0.44151378,0.4536583,0.4735187,0.48564243,0.47603056,0.44935146,0.42395926,0.4229159,0.4529766,0.5022091,0.54444927,0.5550992,0.5255008,0.47063187,0.4218079,0.4068986,0.43178204,0.4785125,0.52086335,0.5422149,0.5437665,0.53647614,0.53307605,0.53860074,0.5520807,0.56278616,0.5602124,0.5375771,0.5035203,0.47044757,0.44839907,0.4341745,0.42160213,0.4068286,0.39312616,0.38650694,0.3930789,0.41659668,0.4557816,0.50176096,0.53961426,0.55385107,0.53779465,0.4967452,0.44667795,0.40365013,0.37850308,0.37348595,0.38708985,0.41440296,0.4482853,0.47888896,0.49883708,0.5074699,0.5112029,0.51517206,0.51801497,0.5129107,0.49948147,0.48578238,0.48557052,0.5042269,0.5371973,0.56674004,0.575203,0.5520476,0.5086982,0.46869722,0.456606,0.47815427,0.52153295,0.56364226,0.5848296,0.5785325,0.5538811,0.52950954,0.5188311,0.5244752,0.53692245,0.5484958,0.555105,0.56121427,0.56600976,0.56575537,0.5509027,0.5196129,0.47625926,0.43173623,0.39650878,0.3781812,0.3809601,0.4017806,0.43288815,0.46057323,0.47478735,0.4701452,0.45188776,0.42854014,0.41039667,0.4019563,0.4048098,0.41584504,0.43161508,0.44724134,0.46086863,0.47402057,0.49089673,0.5126805,0.532471,0.5409035,0.53125036,0.5071213,0.4733328,0.4358209,0.39708832,0.36454508,0.34471402,0.3416878,0.3490514,0.35562965,0.34929073,0.32697198,0.2932252,0.25809795,0.22835304,0.20747276,0.1968683,0.19889885,0.21397068,0.23725218,0.25916782,0.27025774,0.26688957,0.2524059,0.23421521,0.2186708,0.20888327,0.205602,0.21014501,0.22319329,0.24237542,0.25974098,0.26705888,0.2626108,0.25503996,0.2579385,0.27666423,0.30385676,0.32253003,0.32542095,0.3181089,0.31656268,0.32795158,0.3499764,0.37316433,0.39218304,0.40474546,0.4112749,0.41286933,0.41344085,0.41860542,0.43223843,0.451687,0.46891606,0.47599363,0.47463188,0.47516024,0.48930404,0.51679087,0.543717,0.5521969,0.53543323,0.505286,0.48256913,0.48245087,0.50264436,0.5274744,0.53880143,0.5279401,0.50014246,0.46782887,0.44309494,0.42942914,0.42695168,0.42816964,0.42458537,0.40492782,0.37405157,0.3490726,0.35420504,0.39584956,0.46055675,0.5205398,0.55332893,0.5521903,0.5295204,0.5060733,0.49815845,0.50815815,0.5286243,0.5506074,0.56971574,0.5842287,0.5901651,0.58369404,0.5645397,0.540244,0.5150704,0.4883124,0.45489457,0.42344555,0.41153148,0.43569708,0.48927107,0.5478699,0.5829377,0.58365744,0.5590882,0.5310531,0.5186663,0.5304382,0.5623954,0.60253364,0.6373684,0.65736157,0.659787,0.64700574,0.62388784,0.59757894,0.5758094,0.56590676,0.5688087,0.5798872,0.58878356,0.5875445,0.5728722,0.5499268,0.5225473,0.49252316,0.45693323,0.42216316,0.39783403,0.39467883,0.40890017,0.4306058,0.44347692,0.43862417,0.4132116,0.38163128,0.36381474,0.37802812,0.42281592,0.48260644,0.5356372,0.5682821,0.57741565,0.5677487,0.5462899,0.52029675,0.49887934,0.49326286,0.51204795,0.55317134,0.60157746,0.6360268,0.6432602,0.62416786,0.5900427,0.549921,0.5080908,0.46825096,0.43944344,0.430306,0.44048855,0.45923164,0.47180712,0.46993336,0.453825,0.4335779,0.42148253,0.42842042,0.45566034,0.49661365,0.5361349,0.55883473,0.5533025,0.5213965,0.47554258,0.43461773,0.41217062,0.41355637,0.43402472,0.46385297,0.49067923,0.5043765,0.50116116,0.4856454,0.46901524,0.4562845,0.44429538,0.42229298,0.39233366,0.3679526,0.3696995,0.40134144,0.44628596,0.47455454,0.46477982,0.42072895,0.36822638,0.338666,0.34738508,0.38953868,0.4469687,0.50064427,0.5375475,0.5530863,0.5504337,0.5382469,0.5264707,0.5225696,0.52791435,0.5373828,0.54227805,0.5348105,0.514893,0.48907164,0.46867564,0.45562795,0.44364515,0.42071164,0.39015865,0.36658636,0.36873803,0.39735195,0.43942156,0.47589505,0.49647817,0.49993744,0.49263728,0.48483822,0.4875752,0.508001,0.5437128,0.58259684,0.6079798,0.6086083,0.5842356,0.5448439,0.5031376,0.46810067,0.44167534,0.42246222,0.41017282,0.41009888,0.42897332,0.46833858,0.5176174,0.55592495,0.562779,0.531225,0.47660193,0.42757857,0.4103291,0.43032718,0.4724408,0.50655955,0.50693434,0.4623554,0.3885795,0.3134756,0.26496717,0.2511407,0.26787686,0.30010548,0.33335856,0.35224864,0.35206667,0.33814397,0.3262936,0.3295561,0.3541784,0.39639434,0.4467535,0.4919398,0.5193849,0.52292687,0.5064246,0.4823432,0.4601095,0.44289804,0.42591682,0.41018185,0.39900932,0.39892408,0.4085252,0.42469922,0.44223925,0.45869184,0.47161496,0.4809467,0.49005994,0.5052929,0.53197765,0.5675204,0.60241336,0.62360936,0.62676066,0.6158302,0.6021839,0.5930578,0.59055454,0.59010184,0.58620864,0.57606035,0.56165224,0.54961455,0.5450115,0.5495193,0.55473405,0.54997426,0.5248541,0.48298046,0.43346223,0.38998607,0.35880375,0.3460528,0.34993634,0.36491773,0.3789384,0.3910615,0.4095166,0.44702077,0.50006944,0.5506465,0.57511324,0.5637825,0.5251885,0.48057175,0.44753063,0.4320378,0.4306872,0.43994915,0.459187,0.48567,0.5122984,0.53238606,0.5461251,0.5588572,0.56880957,0.5656332,0.5373035,0.48924336,0.44088307,0.41376248,0.41208103,0.4247563,0.43525216,0.43454647,0.42414328,0.41391206,0.41446686,0.43116748,0.46065482,0.4947683,0.5236544,0.5393273,0.5365283,0.51585937,0.48396012,0.45130166,0.4280456,0.42180213,0.43632552,0.46944365,0.5103647,0.5430846,0.5544781,0.5444622,0.5238554,0.5036272,0.48553395,0.4646809,0.4422653,0.42833862,0.43567654,0.46527037,0.50095636,0.5183559,0.5005859,0.45588484,0.4099581,0.39142978,0.4090705,0.45221344,0.4966159,0.51956415,0.5097811,0.4757246,0.44104138,0.4286754,0.44343022,0.46913972,0.48334226,0.474804,0.45088395,0.42799485,0.41958812,0.42715013,0.443908,0.45682302,0.45571795,0.435302,0.40489876,0.38013908,0.37770844,0.40049374,0.44169924,0.48667195,0.5235098,0.5435209,0.54651386,0.53818464,0.5300579,0.5311828,0.5445182,0.56496245,0.58460546,0.5974297,0.5994573,0.59028894,0.57217604,0.55396587,0.5429683,0.5427263,0.54714274,0.5496828,0.54582626,0.5371633,0.526252,0.5118013,0.48940325,0.45478594,0.41493037,0.38291493,0.37365952,0.38916203,0.4212372,0.4506178,0.45972815,0.4393749,0.40124908,0.36955568,0.36794618,0.40129602,0.4574822,0.5160396,0.56078726,0.5849084,0.59079593,0.58669496,0.5793206,0.5719622,0.5622905,0.54850227,0.529848,0.5109431,0.49771678,0.4958817,0.5045958,0.5171041,0.5207848,0.50710946,0.4760554,0.44238663,0.42415488,0.43412244,0.46925792,0.51616645,0.5587147,0.58646035,0.5983003,0.5997386,0.59937197,0.6015175,0.6045236,0.59939533,0.57766587,0.53773063,0.49201846,0.4584374,0.4507737,0.46811923,0.5019355,0.5418248,0.580883,0.6102473,0.6191296,0.6010973,0.5605195,0.51404727,0.47408846,0.44468257,0.4171336,0.39138082,0.3733259,0.37577224,0.39746895,0.4262638,0.4397811,0.42398897,0.37905666,0.32539815,0.28814486,0.2850885,0.31433865,0.36319456,0.41480753,0.45789334,0.4852549,0.49627164,0.49446973,0.48697433,0.48050007,0.48053956,0.48992348,0.5070651,0.52345675,0.52900904,0.51911634,0.50199044,0.48568895,0.47220218,0.451605,0.42294207,0.39456132,0.38280284,0.3919303,0.4161595,0.4444565,0.47067845,0.49308905,0.51165533,0.5269928,0.53987354,0.5515129,0.56049234,0.5623555,0.5512791,0.5261626,0.4937745,0.4658709,0.45104027,0.44923827,0.45333186,0.45659366,0.4577175,0.46150145,0.47296992,0.49354172,0.5174833,0.5348142,0.533025,0.5063496,0.46018398,0.41521123,0.39447227,0.41001022,0.45199528,0.4942139,0.5123211,0.49769494,0.46642378,0.4417342,0.44183323,0.4639218,0.4959098,0.522546,0.53825337,0.54410505,0.5489309,0.56085324,0.58262634,0.60625863,0.6180907,0.6080988,0.5769574,0.5361146,0.49872676,0.47402692,0.46269384,0.46109235,0.45946026,0.44918123,0.4248189,0.39572832,0.37666073,0.3807471,0.404063,0.43366075,0.45462462,0.46141955,0.4559041,0.44655636,0.44431904,0.45955816,0.4951403,0.5437861,0.59059,0.6225558,0.63519925,0.63339543,0.62561053,0.6170581,0.6069818,0.589046,0.559498,0.5218196,0.48987985,0.4778905,0.49179587,0.5231932,0.5524011,0.56064314,0.53935033,0.5005935,0.4648056,0.4508237,0.45960844,0.48069668,0.49612427,0.4938232,0.47081685,0.43906212,0.41577592,0.41457668,0.43531826,0.46858707,0.501326,0.52374727,0.5306944,0.524628,0.51406986,0.51106423,0.52068615,0.53796387,0.54852986,0.54220074,0.51901275,0.48986056,0.46589407,0.45300832,0.44958663,0.44876775,0.44241655,0.42658976,0.4076546,0.3977603,0.40596613,0.4284401,0.4523369,0.46561348,0.46612874,0.4615195,0.46176234,0.47296742,0.4940877,0.5186413,0.5349818,0.53096867,0.5005451,0.45232442,0.40621713,0.38177422,0.38526905,0.40905452,0.4400104,0.46720228,0.48497638,0.49173507,0.4912242,0.49051782,0.49555063,0.50203735,0.49734876,0.4696873,0.4238547,0.37914613,0.35778952,0.36712047,0.39509225,0.41789714,0.414399,0.38137946,0.3335766,0.294433,0.27958587,0.29295388,0.32834435,0.37332284,0.410272,0.42346832,0.40890703,0.3783816,0.34924838,0.33244726,0.32638195,0.32434598,0.32038662,0.3142301,0.30920997,0.31131995,0.32593632,0.35056397,0.3739222,0.37861553,0.35894194,0.3227708,0.28947142,0.2710525,0.2698369,0.27811876,0.28794625,0.29335627,0.29402936,0.29398867,0.30019668,0.31746104,0.345029,0.37492272,0.3950489,0.39601865,0.37745735,0.34909275,0.3240081,0.3105496,0.30831492,0.31111586,0.31303838,0.31293812,0.31450197,0.3226551,0.33894885,0.3595122,0.3751479,0.37659335,0.36001173,0.33290622,0.3094109,0.30201408,0.31142858,0.32702616,0.33466247,0.32642415,0.3069683,0.28837594,0.28238466,0.2908806,0.3076818,0.32462564,0.33779094,0.34751058,0.3537288,0.3550376,0.35007915,0.34135044,0.33336207,0.32958385,0.3304725,0.33589053,0.34680417,0.36336365,0.38358137,0.40459403,0.42741466,0.4545218,0.48495007,0.5088158,0.51332694,0.4926367,0.454906,0.4186267,0.40071568,0.407954,0.43321395,0.46257925,0.4821303,0.48669073,0.4798315,0.4709215,0.46686044,0.46735892,0.46395338,0.44583872,0.40948036,0.36490276,0.333969,0.3367298,0.3781223,0.44094396,0.49382973,0.5086839,0.47760394,0.41998377,0.369455,0.3543577,0.38008225,0.43130863,0.48580346,0.529635,0.56055045,0.57871294,0.5788905,0.55265933,0.5005519,0.4393197,0.39455292,0.38457453,0.4091235,0.4520047,0.49586463,0.53103787,0.558358,0.5783195,0.5919859,0.59922117,0.60458785,0.6082349,0.6057069,0.58789104,0.5506591,0.4962691,0.4330096,0.3737584,0.33400166,0.32745972,0.35692635,0.41146985,0.47036695,0.5153036,0.5389338,0.5456323,0.543482,0.53715897,0.5266126,0.5107181,0.4907432,0.4705573,0.45626497,0.45179582,0.45831168,0.4717823,0.48945054,0.508183,0.52804106,0.54525065,0.5557627,0.54969025,0.5195974,0.46356392,0.39716765,0.34648374,0.33521506,0.36598018,0.4204812,0.47386146,0.5116737,0.5337541,0.54306936,0.5382839,0.51512897,0.47862664,0.44388637,0.42744383,0.43314853,0.45064306,0.46591616,0.4729484,0.47742626,0.4881207,0.50903946,0.53493696,0.5552239,0.5567079,0.528789,0.46822,0.3859181,0.30462614,0.24757957,0.22497825,0.23069203,0.2519046,0.27863017,0.3068734,0.3345443,0.36014238,0.3852801,0.41338885,0.44563973,0.4739364,0.48860118,0.48611906,0.47758624,0.47653177,0.48901573,0.5056238,0.5110102,0.4948355,0.46024367,0.42298588,0.4004664,0.4024659,0.42455566,0.45492193,0.47896698,0.48848107,0.4813595,0.46669054,0.45498654,0.45628166,0.46830633,0.48551974,0.49762487,0.5000505,0.48749295,0.45796597,0.4107391,0.3528309,0.2992995,0.26719406,0.2665894,0.29318154,0.33449733,0.37683606,0.41280875,0.43877423,0.45281908,0.45350245,0.44418308,0.43426457,0.43678054,0.45884287,0.4984909,0.5440462,0.5827697,0.60416174,0.60618204,0.59349257,0.57428145,0.55210894,0.5251183,0.4911838,0.45407832,0.42130303,0.39799383,0.3836949,0.37578657,0.37289622,0.37575385,0.38466513,0.3995057,0.41858602,0.43897393,0.45386562,0.45597538,0.44194818,0.4181029,0.39880505,0.39850047,0.4227136,0.46160206,0.4958019,0.50713843,0.49303222,0.46717414,0.45192453,0.46044585,0.4886488,0.5131652,0.5110245,0.47343573,0.41710004,0.36433947,0.32934654,0.3081006,0.29506433,0.29123035,0.30473748,0.3377907,0.38199982,0.42351118,0.45190725,0.46415555,0.45839572,0.43174133,0.38234094,0.32018805,0.26631525,0.24322332,0.25842044,0.29975626,0.34342948,0.36872876,0.36914814,0.35271212,0.33499292,0.32814243,0.3357807,0.353821,0.37828633,0.40798965,0.4430653,0.4767232,0.49719143,0.4946377,0.4724053,0.44522035,0.43081263,0.43856323,0.4660124,0.5011961,0.5307293,0.54625076,0.5472931,0.5361438,0.51559174,0.48880997,0.46353593,0.44899443,0.450308,0.46473157,0.48435125,0.503352,0.5199246,0.5364955,0.5540939,0.57354504,0.5934431,0.61267835,0.62588567,0.62752837,0.61273247,0.5839991,0.54721886,0.51086825,0.4810451,0.46088734,0.44840983,0.43770173,0.42454922,0.41057405,0.4047017,0.41455862,0.44096205,0.47279572,0.49656072,0.50383145,0.49988148,0.4976569,0.5091136,0.5363705,0.56858224,0.58927006,0.58436894,0.5544936,0.51262885,0.47853884,0.46443292,0.4716029,0.48870793,0.50298923,0.50498796,0.49687412,0.48284045,0.46679568,0.44471988,0.41419098,0.37614408,0.33968234,0.31555662,0.3115972,0.3269042,0.35319948,0.38024116,0.40199283,0.41709837,0.4248238,0.42195523,0.4040581,0.37134674,0.33040854,0.29322976,0.2686807,0.25993314,0.26280048,0.2724031,0.28423414,0.29646695,0.3082401,0.32251966,0.34578586,0.3848164,0.4399289,0.501429,0.55443066,0.58613044,0.5927189,0.5774722,0.5489547,0.5148416,0.48168635,0.45135322,0.425943,0.40691158,0.3966937,0.3915279,0.38394025,0.368168,0.35061145,0.34735918,0.37207103,0.42262205,0.47961304,0.5212302,0.5369105,0.5335589,0.5222581,0.50994533,0.49537125,0.4799272,0.47028503,0.4755938,0.49779388,0.52791995,0.55133724,0.5556151,0.53853625,0.5063763,0.47223857,0.4478918,0.44159624,0.45008013,0.4641231,0.47211954,0.47378907,0.47530207,0.4850813,0.5017383,0.51682436,0.5190606,0.5024033,0.47003743,0.43339613,0.4086298,0.4069511,0.42918503,0.4616417,0.48491076,0.48451555,0.46297708,0.4362563,0.42391977,0.43481168,0.46530986,0.50186276,0.5312303,0.54500395,0.54439515,0.5360248,0.5291832,0.52960277,0.54027843,0.5585191,0.580358,0.5985648,0.6087079,0.60552883,0.5890856,0.56325,0.5388449,0.5251104,0.5242195,0.52892894,0.5289975,0.51911736,0.50176543,0.4851097,0.47735277,0.48340484,0.50274247,0.53022915,0.5577254,0.5791411,0.5925686,0.5998861,0.6011235,0.5949138,0.580123,0.5610383,0.5427523,0.52929354,0.5193406,0.51221794,0.50753903,0.50673634,0.506766,0.5013885,0.48278514,0.4481865,0.40147543,0.35179317,0.30931628,0.2810237,0.270182,0.2762308,0.2977482,0.33165768,0.37494433,0.42278126,0.47093046,0.5138727,0.5481364,0.5718396,0.5877544,0.59845114,0.6048038,0.604366,0.59699583,0.5862046,0.57608837,0.56681114,0.5543446,0.53634673,0.5155153,0.49823233,0.48996103,0.48895076,0.4895819,0.48483136,0.4759924,0.46802974,0.46772113,0.47493365,0.48566452,0.49355713,0.4952301,0.49022248,0.47928634,0.46343562,0.44401792,0.42522576,0.4097828,0.39787242,0.3868694,0.37912777,0.38109457,0.39942613,0.43182036,0.46869126,0.4954742,0.5029294,0.48947635,0.4666852,0.4485301,0.44545004,0.45398068,0.46639612,0.47489658,0.47952762,0.48121616,0.48211733,0.48269865,0.48503962,0.48933122,0.49224767,0.4856725,0.4619099,0.4203681,0.37025306,0.3252815,0.29457524,0.27828425,0.27029833,0.26412168,0.25616336,0.24577866,0.23610902,0.23326327,0.2462908,0.2776582,0.32202926,0.36394644,0.39388466,0.40996292,0.4225677,0.43917444,0.46249154,0.48258486,0.4878869,0.46979728,0.43656218,0.40671882,0.4023132,0.43219402,0.48910546,0.5514855,0.5952797,0.60660416,0.5887159,0.55592376,0.52099043,0.48643374,0.45096028,0.41836038,0.40164888,0.41259202,0.44992566,0.49624228,0.5300986,0.54014856,0.52955014,0.5083829,0.486859,0.47420013,0.47709835,0.49587002,0.520091,0.53720546,0.54189384,0.54195356,0.54868144,0.56490284,0.5829365,0.58988905,0.5806381,0.5528944,0.51005477,0.45368603,0.3947803,0.34519747,0.3163509,0.30723965,0.31002954,0.31429347,0.31404385,0.31162235,0.31809458,0.3523411,0.42503867,0.52840894,0.6282487,0.6873875,0.685108,0.6356889,0.5723018,0.5292091,0.52176046,0.54546547,0.5823653,0.6117659,0.6217577,0.6110676,0.58851504,0.5636462,0.5456909,0.5376004,0.53645736,0.5325422,0.5192103,0.49947274,0.48278603,0.4734316,0.46450713,0.4482806,0.42757764,0.41505584,0.41911736,0.4361342,0.45604432,0.4747331,0.49275264,0.5112317,0.52520066,0.53353196,0.53869134,0.5466216,0.5566416,0.5644501,0.5656581,0.56062204,0.5513851,0.53981274,0.5270624,0.5155824,0.5073704,0.5005995,0.48641014,0.45413557,0.39917567,0.33063415,0.26460937,0.21520168,0.18492861,0.16870181,0.15926939,0.15326707,0.15137245,0.15730846,0.17615306,0.21199983,0.26310033,0.3186165,0.3619083,0.38231066,0.3842992,0.38421166,0.39673665,0.4246062,0.45754528,0.48254848,0.49101415,0.48812518,0.4852461,0.49480954,0.5167883,0.54473764,0.5683146,0.58237356,0.5827613,0.57099843,0.55633765,0.5593043,0.59664226,0.66510564,0.73531866,0.7739701,0.7660826,0.72336864,0.66729003,0.6174651,0.58888364,0.5913258,0.6234979,0.6652494,0.691638,0.6869254,0.6569338,0.6171511,0.5828417,0.560735,0.55270714,0.5588157,0.58070034,0.6190379,0.6700646,0.71971184,0.7472978,0.7342355,0.6781356,0.59721833,0.52318674,0.48343846,0.48391306,0.50746655,0.5264701,0.5232901,0.49682823,0.45802698,0.41912833,0.39029542,0.3800446,0.391017,0.4182842,0.448421,0.47249815,0.4883264,0.5019749,0.5157501,0.5278299,0.52981716,0.5166505,0.4887408,0.45847592,0.43957344,0.44129565,0.4579614,0.47642377,0.479725,0.45822105,0.41028848,0.34670424,0.28231212,0.23038203,0.194223,0.17220964,0.16428767,0.17767781,0.2197574,0.2875133,0.36244187,0.42277074,0.4583255,0.47832465,0.5002554,0.5359649,0.5821138,0.6226653,0.639801,0.6247693,0.58535737,0.54065084,0.5116801,0.5081193,0.525409,0.54973346,0.5722361,0.5938198,0.6198781,0.6471073,0.6629219,0.6555808,0.6276457,0.59682566,0.5843255,0.598641,0.6262502,0.6409042,0.6225936,0.57618326,0.5265058,0.50090295,0.5084943,0.53611654,0.5595934,0.55948263,0.5349902,0.50121266,0.47914466,0.47939956,0.49401388,0.5037237,0.4905717,0.45634365,0.41681704,0.39315653,0.39304987,0.414134,0.4469519,0.48279896,0.5107953,0.52109694,0.5088058,0.47902623,0.44260964,0.40841794,0.37789068,0.3474302,0.3146452,0.2824426,0.25916222,0.2543252,0.27444485,0.31518427,0.3636885,0.4028844,0.42731938,0.44116375,0.454391,0.46886936,0.4810889,0.48555994,0.48098615,0.4697028,0.45621848,0.44550657,0.44093108,0.44264778,0.44681752,0.4450239,0.42836532,0.3925567,0.34481236,0.29974225,0.2716346,0.2647787,0.27365983,0.28755534,0.2967202,0.29650876,0.28968343,0.2857791,0.2965083,0.32483163,0.3619376,0.38994297,0.40053675,0.39888012,0.40329435,0.4272506,0.47699797,0.544622,0.6146496,0.6655181,0.688018,0.68926936,0.68764955,0.69075686,0.69255143,0.68271893,0.6602332,0.62872034,0.59090465,0.5470589,0.50611264,0.48158956,0.48429093,0.5072031,0.5346169,0.5503529,0.5494259,0.53269416,0.5078643,0.4895798,0.49453536,0.52862984,0.57520944,0.6084674,0.61124325,0.59183747,0.5717361,0.57001096,0.5865479,0.6072345,0.61448115,0.60362905,0.58316946,0.5697153,0.57159424,0.583569,0.5878029,0.5680306,0.52094686,0.4597948,0.4079388,0.3887683,0.41420946,0.47642264,0.5452478,0.5843053,0.57168794,0.5158168,0.44609985,0.39521858,0.3784039,0.39170173,0.41666198,0.43966004,0.45726487,0.4784228,0.50803834,0.54129124,0.5614999,0.5555236,0.5258898,0.4962704,0.49518403,0.53483,0.5969972,0.646903,0.6553761,0.6200032,0.5601617,0.5075069,0.48664388,0.51166683,0.5776668,0.6685285,0.75691813,0.8162289,0.8227191,0.76973414,0.6712809,0.5632346,0.47953853,0.436903,0.42573723,0.4320484,0.445941,0.4681307,0.49492088,0.520596,0.53833586,0.54816085,0.552833,0.5552523,0.5559551,0.55550927,0.55557966,0.5595813,0.5684347,0.57992554,0.5869402,0.58420104,0.56885153,0.54283684,0.5072385,0.46238092,0.40852627,0.35036778,0.29724944,0.2587415,0.2406518,0.2435794,0.26688763,0.3061498,0.3540162,0.39825642,0.43384102,0.4638933,0.5014269,0.55382586,0.61738604,0.6731248,0.7005163,0.69239193,0.6641807,0.64360785,0.64837074,0.6751465,0.7039399,0.7179273,0.70835537,0.677744,0.63080025,0.5806233,0.54285306,0.5339139,0.5527973,0.5817891,0.59338254,0.5769439,0.544935,0.527242,0.5447276,0.5961965,0.6563645,0.69271857,0.6858538,0.64098054,0.5841274,0.5422961,0.530188,0.54570204,0.57927746,0.62147164,0.6666217,0.7103017,0.74273133,0.7499643,0.7188916,0.6494958,0.5542876,0.45356154,0.36463526,0.29853693,0.2584691,0.24079978,0.2374957,0.24062549,0.24587446,0.25336003,0.26552904,0.2865883,0.3202928,0.36550832,0.41294912,0.44824672,0.46501696,0.4696455,0.47782573,0.4983724,0.52813166,0.5521236,0.55709535,0.538863,0.5090187,0.4839851,0.47684047,0.4875771,0.5108077,0.53734106,0.5619886,0.5821654,0.604281,0.6334939,0.6652529,0.6792143,0.65564984,0.5941986,0.5167627,0.45493498,0.4313382,0.4546918,0.5170227,0.59706956,0.66562086,0.6977002,0.6857035,0.64123267,0.5893735,0.5523153,0.5404592,0.547447,0.55992454,0.5652692,0.55957645,0.5422832,0.5170569,0.486243,0.45730183,0.43290946,0.41506064,0.4007932,0.39711598,0.41520795,0.4639224,0.5298025,0.58352,0.59500575,0.5595831,0.49738857,0.44244722,0.41802788,0.42883882,0.4625125,0.50044394,0.52721864,0.53285843,0.518176,0.49165285,0.46779492,0.45621398,0.45587268,0.45565474,0.44185248,0.41126725,0.37286797,0.34374163,0.33468726,0.34560156,0.36613333,0.38308874,0.38653514,0.37334454,0.34883508,0.32131657,0.29794428,0.2798846,0.26569757,0.25386345,0.245638,0.24384369,0.25124416,0.2700293,0.30263808,0.34837186,0.40194407,0.45086208,0.48682198,0.5078693,0.52189445,0.5345552,0.548817,0.5628441,0.57517934,0.5842271,0.58957654,0.5924569,0.59539104,0.59902793,0.5984795,0.58229333,0.5395708,0.46840164,0.38306212,0.30575058,0.25574434,0.23737092,0.2434537,0.261559,0.28222534,0.2996256,0.31123206,0.3179135,0.32478634,0.33848238,0.3611473,0.38728166,0.40907013,0.4243001,0.4393516,0.4620237,0.4942565,0.5268442,0.54611397,0.5418268,0.5191305,0.49415302,0.48536077,0.49869558,0.52912945,0.56374544,0.5900142,0.59496737,0.5703353,0.5153199,0.44069973,0.36421776,0.30218878,0.26296234,0.24441873,0.23970938,0.24066097,0.24459863,0.25258347,0.2709949,0.3001174,0.3351307,0.36211708,0.37584344,0.37768117,0.37844148,0.38158178,0.38629207,0.3884956,0.38924333,0.39193144,0.39828274,0.40699947,0.41618815,0.42878988,0.45063552,0.48628747,0.5301694,0.5672128,0.5787592,0.55595475,0.5049945,0.4427499,0.384069,0.33456543,0.29291725,0.25821713,0.23439986,0.22804546,0.24483173,0.2804351,0.3223018,0.351967,0.3642118,0.36534154,0.37170708,0.38885844,0.41377118,0.43212572,0.43407425,0.41428205,0.38321587,0.35512158,0.34631953,0.36074063,0.3979793,0.4491261,0.50147074,0.5350954,0.53659725,0.5078387,0.46672094,0.43098208,0.40543905,0.38460007,0.36274803,0.34278843,0.32997784,0.32993874,0.3424069,0.3644493,0.38682887,0.40057456,0.40257022,0.40186712,0.41273752,0.4434875,0.48705062,0.52541023,0.5392383,0.5212456,0.47828877,0.42784765,0.3872778,0.36712095,0.3688936,0.38466418,0.4032463,0.41488394,0.42228457,0.43546948,0.46496582,0.5061677,0.5411596,0.54839414,0.52023023,0.47086322,0.42945385,0.42358217,0.4614551,0.5267866,0.5857932,0.6077178,0.5827983,0.53084856,0.4856049,0.47325954,0.49372956,0.5243419,0.5377259,0.5216519,0.4899061,0.4678668,0.47604576,0.51208216,0.5596602,0.59742904,0.6128147,0.60416406,0.5824085,0.56765336,0.57551193,0.60772914,0.6451822,0.6657054,0.65612924,0.6249809,0.59125304,0.5745223,0.5815498,0.60451955,0.62224704,0.6144237,0.5735898,0.51561767,0.4638543,0.43481854,0.4230856,0.41481563,0.39890495,0.37769938,0.3614223,0.36303008,0.39362493,0.45661607,0.54294914,0.62958217,0.6920515,0.7162065,0.70445615,0.66820455,0.62279105,0.58432835,0.5672962,0.57689977,0.6034557,0.62877893,0.6358624,0.6202487,0.58765775,0.552502,0.5243919,0.5041695,0.48129606,0.45190394,0.4271915,0.43212962,0.47995472,0.5577607,0.6279769,0.6568845,0.6361777,0.58823895,0.54459596,0.5262563,0.53512543,0.56188494,0.59237456,0.6142905,0.62027735,0.61413556,0.60601455,0.6048417,0.6097761,0.61202794,0.6051057,0.5883446,0.5685199,0.54764813,0.5267882,0.50469536,0.4883734,0.48124614,0.4835252,0.48584804,0.48566306,0.48569778,0.49520922,0.5145773,0.53323656,0.5328033,0.50040895,0.44064617,0.37328553,0.32403874,0.30892658,0.33157322,0.38233972,0.44559622,0.5030934,0.5429109,0.56133646,0.56416875,0.55797714,0.5455622,0.5215362,0.481263,0.42811802,0.3796421,0.3567288,0.37123764,0.41558096,0.46628508,0.4988424,0.50130457,0.48371053,0.4655687,0.4668053,0.49325338,0.54054445,0.5893712,0.61588496,0.5993461,0.5424384,0.46924078,0.41571006,0.40475652,0.4390366,0.49843022,0.55520725,0.5839989,0.5761093,0.53834516,0.4890844,0.4460007,0.4203495,0.41588292,0.43116593,0.46281525,0.50525546,0.5512634,0.5919156,0.6149723,0.6104054,0.5749321,0.52427703,0.4835153,0.47527066,0.49927267,0.53807324,0.5678615,0.5747571,0.55647796,0.5206935,0.47943512,0.4440508,0.4214582,0.4136051,0.4194362,0.4351368,0.45403123,0.4701976,0.4829367,0.49775052,0.51945037,0.545744,0.56772715,0.5761697,0.56869906,0.54852396,0.5230371,0.49821606,0.47983932,0.46705794,0.45596945,0.43820035,0.41234434,0.38171387,0.3560221,0.3432367,0.34568962,0.35966554,0.37645605,0.39447483,0.41401598,0.43824276,0.46065918,0.477232,0.48663762,0.49714568,0.5125029,0.53150153,0.5438481,0.5423139,0.52508295,0.5022903,0.4870055,0.49030128,0.5112707,0.5419691,0.5716562,0.5953963,0.6124716,0.6220141,0.6222317,0.61043525,0.59161466,0.5708745,0.55526406,0.54358196,0.536838,0.5340223,0.538114,0.54792446,0.5623451,0.57871205,0.5964686,0.6147587,0.6301232,0.6359721,0.6251094,0.5980587,0.56583214,0.5452562,0.54714155,0.56679934,0.58928114,0.59805375,0.5881343,0.5630084,0.5341227,0.5107188,0.5001127,0.49733222,0.49216256,0.47204968,0.4411768,0.4132273,0.40658236,0.42463282,0.45924366,0.48909044,0.4947097,0.46541783,0.414762,0.36993477,0.3583349,0.3848299,0.4361148,0.48870555,0.5260601,0.5406387,0.53581786,0.5184626,0.4971274,0.47821167,0.469378,0.47692636,0.50271046,0.5370607,0.56086236,0.55722153,0.5241697,0.47885534,0.44039404,0.41847014,0.40598533,0.39671692,0.38969493,0.39242753,0.40788674,0.43229,0.45586684,0.46945918,0.47005472,0.46345484,0.46269524,0.4810796,0.52054596,0.56714934,0.5969698,0.5938328,0.56107306,0.51719403,0.48237875,0.46603337,0.46958712,0.4891306,0.5202711,0.55547214,0.58793664,0.6145481,0.6369303,0.6555605,0.6616919,0.64261436,0.5923474,0.5259242,0.47130576,0.45502135,0.4829861,0.53900445,0.59364647,0.6210146,0.6132249,0.5815963,0.5484395,0.53147554,0.5373795,0.56181115,0.5940497,0.62263435,0.6378009,0.6383385,0.62916356,0.6214211,0.6200564,0.621504,0.6126485,0.58588356,0.5472763,0.5164087,0.50908476,0.5253965,0.5451859,0.5454309,0.5137142,0.4620392,0.41273987,0.3851881,0.38138223,0.39411435,0.41596386,0.44370922,0.47574195,0.50834465,0.53866786,0.5647008,0.58671874,0.60427815,0.6159296,0.61908954,0.6120699,0.59565806,0.57366174,0.55120116,0.5338874,0.5245622,0.5247455,0.5337243,0.5522487,0.579488,0.6120872,0.6406818,0.65247077,0.63534445,0.5865426,0.5181783,0.45665896,0.42980468,0.45201793,0.51613873,0.59752774,0.66713476,0.70048547,0.6887308,0.6386356,0.57481533,0.5256836,0.511573,0.5311255,0.56501865,0.5886578,0.58680993,0.56003183,0.51940507,0.4794846,0.44971874,0.43502942,0.43593588,0.4530652,0.48436633,0.5252876,0.5665236,0.5973477,0.6055339,0.5839686,0.5335056,0.4695232,0.41167462,0.37629512,0.3649362,0.37146774,0.38780496,0.41008782,0.43506816,0.45698908,0.47026896,0.47403336,0.4748803,0.48032632,0.49186587,0.50289744,0.5042159,0.49420536,0.4812638,0.48057827,0.49980363,0.53270775,0.5604498,0.56723166,0.550936,0.52669454,0.51332206,0.52203107,0.54339117,0.55881184,0.5497033,0.51720214,0.47373,0.43854466,0.42246166,0.43040204,0.45583978,0.48544407,0.50125027,0.49851093,0.48744738,0.49052522,0.51807606,0.5627937,0.5994594,0.60738975,0.5816667,0.5389578,0.50251883,0.48958516,0.5020067,0.5324228,0.569621,0.6045725,0.62848896,0.63562155,0.624258,0.60076904,0.57384115,0.5496647,0.5268931,0.5031529,0.47973195,0.46241724,0.4538926,0.44895306,0.43674803,0.4096398,0.3709146,0.3352237,0.31901726,0.3302314,0.36331663,0.4059682,0.44491658,0.47222838,0.48464802,0.488071,0.49228716,0.5063147,0.52710694,0.5433142,0.5434362,0.52682894,0.50244457,0.47991815,0.46458912,0.4569262,0.45851767,0.46610054,0.47310057,0.46809086,0.4518169,0.43405542,0.4316602,0.44803295,0.47401944,0.49127066,0.48934057,0.47194695,0.45457172,0.4520938,0.46926484,0.5013376,0.54037315,0.57960993,0.61171365,0.6278232,0.6215772,0.5954719,0.5625959,0.5370174,0.52487046,0.5189782,0.5094334,0.49047807,0.4686533,0.45475993,0.4597241,0.48056117,0.5064266,0.521249,0.52396566,0.5190775,0.51548415,0.5092232,0.49871346,0.48472893,0.47732028,0.48036304,0.4910077,0.5013142,0.5079403,0.5147415,0.5274485,0.5495232,0.57788724,0.60716295,0.63105017,0.6464761,0.65193254,0.6461372,0.6249811,0.58500886,0.5292808,0.47193637,0.43300307,0.42695305,0.45362172,0.4954929,0.5288388,0.5357826,0.51923263,0.49542674,0.48395073,0.4879973,0.5001924,0.50372285,0.49031937,0.45656535,0.41484663,0.3799902,0.36978242,0.38928795,0.4352087,0.49415818,0.5515943,0.59515315,0.6182464,0.62144136,0.6090157,0.5897999,0.569581,0.5525653,0.5367211,0.5226469,0.5117793,0.5094896,0.5169675,0.5316562,0.5420379,0.5359463,0.5047448,0.4555281,0.40344548,0.36535117,0.34716287,0.34775254,0.36208722,0.38526055,0.41122833,0.43259385,0.44503406,0.44908032,0.45053324,0.45184657,0.45013955,0.4370643,0.4094714,0.37206885,0.3375779,0.31806114,0.321128,0.34706125,0.38984457,0.43761182,0.47614893,0.4957539,0.4959068,0.48501837,0.46908748,0.44916221,0.42225042,0.39539587,0.3815038,0.3926994,0.42473283,0.4606324,0.47794953,0.46540877,0.4278237,0.38649556,0.36360443,0.3716701,0.40563822,0.45082986,0.4903319,0.5148194,0.52427775,0.527431,0.53434396,0.5505007,0.57239074,0.5897518,0.59184533,0.57409805,0.54023397,0.49805763,0.45451334,0.41501048,0.38254285,0.35957304,0.34508273,0.33955088,0.34192455,0.35183445,0.36427036,0.37512913,0.38044107,0.38077924,0.37738177,0.37476233,0.37676847,0.38723472,0.40576884,0.43083847,0.45929638,0.48833928,0.5121234,0.5226426,0.5132386,0.48457813,0.44674382,0.41198197,0.38822272,0.37463033,0.3684676,0.36812887,0.37514183,0.38719264,0.39706206,0.3934356,0.37162217,0.33843228,0.31367025,0.31665334,0.35360333,0.409078,0.45419872,0.46445265,0.43525302,0.38554475,0.34378025,0.3315575,0.35287094,0.39792895,0.45336595,0.50889057,0.5581452,0.59368354,0.6087695,0.6016677,0.58188385,0.5654202,0.56618804,0.586818,0.6190503,0.64718014,0.6562705,0.6370631,0.59086555,0.52636236,0.45680425,0.39616096,0.35906968,0.3571774,0.39163256,0.44892955,0.5030596,0.53162277,0.5264937,0.49994862,0.47137877,0.457244,0.46183717,0.48135194,0.50699455,0.53059125,0.54658365,0.55281764,0.5487065,0.5338162,0.51005787,0.48282456,0.45993218,0.44603002,0.44075027,0.4398066,0.43969366,0.43870795,0.4359217,0.4283413,0.4138669,0.39499736,0.38266835,0.38902655,0.4199101,0.4662136,0.5079297,0.5228004,0.5008602,0.45051396,0.39248446,0.34567714,0.3173026,0.30693683,0.31260982,0.33433318,0.36815217,0.4064593,0.43924055,0.46259913,0.47661915,0.48556605,0.48966667,0.49029014,0.48725367,0.48313022,0.47375178,0.45284513,0.4140948,0.36248258,0.3098528,0.26966587,0.24735518,0.24115439,0.2452255,0.25511214,0.26836574,0.28187075,0.2901998,0.28819296,0.27662995,0.26211768,0.2525458,0.25154677,0.2592777,0.27378273,0.29244152,0.31101277,0.32825148,0.34737062,0.3754584,0.4137888,0.45479187,0.4852825,0.49737087,0.49333468,0.48176554,0.4692011,0.45536098,0.43474862,0.40346634,0.36383006,0.32745168,0.30890515,0.3195355,0.3580657,0.41020367,0.4505137,0.45572734,0.41739735,0.35172567,0.28941128,0.25804368,0.26610982,0.3050621,0.3594992,0.41708365,0.47002003,0.5124442,0.53968984,0.55031943,0.54929423,0.54515797,0.54623944,0.55587286,0.5726717,0.5883921,0.58979017,0.56317943,0.5054433,0.42623737,0.34392202,0.27344605,0.22386314,0.19595325,0.18690921,0.19018467,0.2016117,0.2197326,0.24587679,0.27834794,0.3120094,0.34075722,0.36279643,0.38162193,0.40364984,0.43386647,0.4719541,0.5102802,0.53569716,0.5375056,0.51522356,0.48165894,0.4541986,0.4452721,0.45479128,0.47348186,0.48867145,0.49065074,0.4757634,0.44585738,0.41018638,0.38092563,0.37030149,0.37903437,0.3979187,0.4110404,0.4094504,0.39209485,0.36639002,0.34205195,0.33095524,0.34194687,0.37891904,0.43600592,0.5009046,0.5561877,0.5901049,0.5992169,0.59213716,0.5782571,0.564483,0.5519565,0.5412977,0.5329349,0.5255628,0.5161051,0.49844477,0.46775413,0.42173967,0.3662497,0.31303632,0.27612123,0.2640557,0.27617547,0.30339196,0.33248925,0.35281792,0.35861647,0.35051703,0.33235964,0.3102571,0.28851885,0.26957896,0.2541894,0.24496563,0.24598725,0.2597334,0.28329733,0.30850935,0.32663128,0.33345786,0.33172968,0.32953238,0.33579814,0.35559058,0.38688695,0.42196086,0.45256844,0.47301617,0.48004365,0.46923718,0.4401672,0.40023446,0.3671955,0.35503793,0.36666283,0.3885704,0.40391314,0.39798033,0.36847684,0.32308197,0.27750847,0.24503966,0.2311259,0.23478055,0.25322613,0.2869037,0.33612928,0.39928898,0.46827006,0.5321571,0.5795074,0.6032693,0.597687,0.5607547,0.49598655,0.4189802,0.3497845,0.3033315,0.2786595,0.26337403,0.24253106,0.20876743,0.16468565,0.11918927,0.080910325,0.053423952,0.035520535,0.024089338,0.016667696,0.01187838,0.008873324,0.0070253364,0.005840343,0.005011223,0.0043415814,0.0037450863,0.0031977666,0.0027058588,0.0022708252,0.0018804738,0.001524643,0.0011987594,0.00090960244,0.00066952297,0.0004953416,0.00039687575,0.0003688345,0.00038612893,0.00041673402,0.00043344265]