[0.00020631464,0.00028750408,0.00047587106,0.00074365176,0.0010709463,0.0014722552,0.0020083676,0.0027489283,0.0037448052,0.005004998,0.0065287575,0.00828683,0.010179727,0.012022709,0.013583926,0.014756251,0.01558439,0.016318647,0.017162196,0.018283792,0.019755004,0.021798113,0.024639552,0.028368318,0.032704078,0.037180435,0.041343573,0.045054402,0.04838648,0.05160312,0.05451541,0.056524634,0.05668753,0.055086955,0.053064942,0.0530705,0.056636203,0.063782506,0.072940566,0.08273431,0.092217945,0.10081475,0.107528575,0.11132876,0.11187959,0.109613866,0.10569573,0.10123224,0.09745637,0.09543693,0.09630952,0.1008197,0.10855324,0.11803839,0.12745692,0.13641453,0.1452465,0.1540787,0.16124855,0.16465628,0.16291383,0.1568843,0.14938004,0.1443314,0.14503819,0.15245056,0.16525038,0.18042481,0.19504721,0.2059574,0.2110353,0.20881629,0.20049344,0.18851383,0.17699271,0.16878708,0.16559954,0.16692932,0.17198233,0.18034221,0.19174726,0.20535214,0.21898425,0.23143685,0.24220717,0.25158092,0.25710452,0.2555782,0.24494548,0.22883081,0.21399522,0.20701216,0.20971273,0.21980481,0.23355742,0.24798824,0.26177433,0.27271563,0.27825323,0.27529946,0.26403522,0.2475157,0.23153746,0.22145666,0.22009903,0.22617441,0.23541462,0.24472201,0.2548726,0.2686729,0.28620526,0.30261496,0.31279433,0.3151188,0.31281134,0.3075105,0.29825315,0.282131,0.26174602,0.24426389,0.23809068,0.24511878,0.26151857,0.28107476,0.3002354,0.31652102,0.3272589,0.3283528,0.318519,0.29988143,0.27874395,0.26163128,0.2552508,0.26505628,0.2930431,0.33431864,0.3762981,0.40747723,0.42350277,0.42833957,0.4258341,0.41655755,0.40191904,0.38702264,0.3795767,0.38296068,0.39877212,0.42749873,0.46767047,0.50840324,0.53188974,0.5263447,0.49647653,0.45917726,0.42805135,0.406334,0.3911285,0.37973094,0.36914328,0.35442695,0.33334908,0.31269693,0.30747256,0.3302808,0.3809657,0.4420793,0.48962274,0.5061689,0.4952006,0.4735725,0.45927837,0.45547786,0.45386276,0.44259572,0.41667554,0.38001502,0.34305784,0.31644517,0.30537128,0.3078557,0.31864092,0.33273056,0.34727886,0.36073247,0.37193784,0.37938425,0.378829,0.366699,0.3432673,0.318066,0.30347273,0.3075023,0.32785332,0.35573804,0.38269004,0.40260097,0.41281176,0.4113218,0.39980987,0.3814825,0.3642212,0.35721937,0.3706039,0.40461493,0.44744503,0.47676316,0.47685203,0.44702557,0.4026887,0.36190423,0.33575034,0.3253858,0.32676968,0.3360153,0.3498853,0.36487517,0.37634504,0.3798903,0.3731105,0.35662866,0.3356317,0.31839895,0.31249747,0.31996012,0.3361248,0.35469332,0.37250236,0.3931929,0.4209908,0.45440745,0.48052064,0.48336112,0.4562011,0.40988228,0.36605692,0.34303463,0.3469465,0.37220085,0.4071873,0.4384729,0.4542385,0.44890332,0.42537168,0.39321375,0.36223677,0.33853292,0.32541537,0.32455966,0.33581463,0.3531035,0.36902118,0.38157558,0.40000752,0.4349283,0.48378572,0.5258766,0.5368802,0.5100174,0.46374568,0.42870674,0.42750987,0.4601766,0.50692654,0.53883535,0.5371632,0.50187814,0.45174575,0.4070443,0.37899923,0.364957,0.35921073,0.35756406,0.36216518,0.37517563,0.39763615,0.42236254,0.4383309,0.43392065,0.40907446,0.37466955,0.348878,0.34374025,0.3617674,0.39544073,0.436147,0.47448528,0.5018301,0.5071663,0.48552945,0.44312868,0.3980786,0.37146318,0.3765248,0.4149343,0.47255412,0.52544254,0.549409,0.5369122,0.500961,0.46304348,0.43682644,0.42098656,0.40799305,0.3922279,0.373836,0.356155,0.34276864,0.33627614,0.335843,0.33959672,0.3445175,0.34971103,0.3533198,0.3558999,0.36132932,0.3784201,0.412666,0.45839906,0.49972287,0.5203903,0.51596445,0.4935046,0.46621856,0.44319868,0.4277674,0.41899642,0.41741022,0.42661834,0.44872114,0.48009738,0.50941294,0.5251753,0.5212415,0.5004714,0.47127843,0.44370905,0.4271777,0.42857912,0.4489683,0.47828087,0.49836588,0.4951938,0.4741044,0.45703396,0.46445927,0.49460027,0.5252817,0.5326178,0.51166016,0.47746837,0.4519304,0.445932,0.4556335,0.4670442,0.46934637,0.4590906,0.44179654,0.4239776,0.4097451,0.39791682,0.3865753,0.37566075,0.3685455,0.36809734,0.37456784,0.38364005,0.3904201,0.39076364,0.38563618,0.37855804,0.37557408,0.3808883,0.3970813,0.42389348,0.45732203,0.48893407,0.50743294,0.506356,0.48794118,0.4620869,0.43740177,0.418126,0.4059851,0.40494254,0.41785,0.44107413,0.4610933,0.46270183,0.43820834,0.3953091,0.351105,0.32343265,0.32164657,0.34609762,0.39018154,0.44191793,0.48739338,0.515287,0.5229015,0.51565653,0.5021301,0.4881471,0.4745144,0.4597584,0.44418374,0.43211734,0.42919216,0.43717515,0.45152995,0.46489826,0.47178558,0.4716333,0.46545085,0.4556532,0.44364944,0.4335868,0.4273621,0.4252663,0.4219137,0.41408697,0.40281036,0.39567694,0.39893374,0.4122263,0.4276483,0.4359841,0.4343861,0.429942,0.4345794,0.45400688,0.47923693,0.4934233,0.48904446,0.48056495,0.49233875,0.5350154,0.5885422,0.6192837,0.60635,0.5619218,0.51535493,0.49140692,0.49420643,0.515577,0.5461223,0.5787547,0.6072897,0.62383175,0.62486666,0.60995835,0.5832679,0.5494563,0.51708585,0.49492624,0.4878867,0.4911947,0.49370313,0.48592052,0.46562162,0.4389017,0.4146314,0.40220407,0.40550005,0.4238486,0.44904804,0.47157753,0.48134652,0.4744421,0.45200992,0.42176488,0.39358506,0.37697765,0.37916872,0.40197024,0.4413649,0.48354086,0.51255125,0.51712775,0.5003142,0.47523165,0.45469555,0.44366607,0.4382348,0.43518898,0.43325642,0.43488738,0.4396504,0.44547284,0.4480791,0.44395494,0.43242767,0.4159095,0.40062988,0.3902874,0.38726497,0.39030835,0.40079936,0.41845623,0.44190243,0.46662104,0.4896778,0.510022,0.5248616,0.5283516,0.51465076,0.48704824,0.45741853,0.43992278,0.4407668,0.45646873,0.47859922,0.4955317,0.49606046,0.46987084,0.4195695,0.36054108,0.31751204,0.3088406,0.33992228,0.40149745,0.47144476,0.5237365,0.53956443,0.52270085,0.49397886,0.476159,0.47413614,0.47656277,0.46844673,0.44585335,0.41667736,0.39230743,0.37947425,0.3789755,0.38954628,0.40836218,0.42998943,0.44625556,0.45211092,0.44964132,0.44713485,0.45220518,0.46570113,0.48136845,0.49061117,0.49005076,0.48251256,0.473557,0.46396378,0.45066833,0.43126497,0.41213456,0.4062312,0.42578796,0.46913108,0.5185847,0.5491434,0.5470755,0.51954794,0.4886582,0.47516945,0.48562422,0.51214916,0.53859186,0.55053234,0.5404994,0.51150507,0.4722767,0.43320954,0.40031162,0.37669942,0.36241353,0.35886613,0.36683825,0.38740182,0.41630924,0.4465672,0.46864405,0.4779741,0.473807,0.45930734,0.437058,0.41046795,0.38487318,0.36722592,0.36419204,0.3772936,0.40403295,0.43612352,0.4662681,0.48840415,0.50182396,0.5047304,0.49509677,0.47171792,0.44197038,0.41892138,0.4145867,0.43083975,0.46093094,0.49348068,0.51818323,0.52768207,0.5210571,0.5040528,0.48577806,0.47200823,0.46334597,0.4585843,0.45862165,0.4635792,0.46864808,0.46483895,0.44821748,0.42478383,0.40719733,0.40296414,0.41014194,0.42039153,0.4298017,0.44081664,0.4593737,0.48386976,0.5069547,0.5185918,0.51843756,0.51077694,0.50158226,0.48856047,0.4679073,0.44007894,0.41564262,0.40888405,0.42666855,0.46183094,0.49677745,0.51714706,0.52210325,0.5235004,0.5321339,0.54796505,0.5616643,0.56780714,0.5678478,0.56553775,0.5589998,0.5463744,0.53148174,0.5222599,0.520797,0.5194633,0.5085316,0.48550165,0.45810473,0.43850324,0.43720773,0.45807084,0.49573183,0.5362717,0.56413347,0.5733185,0.5711846,0.5713187,0.58004457,0.5929258,0.60122544,0.60239965,0.6001225,0.5993841,0.5992801,0.5962575,0.58666605,0.5711796,0.55068725,0.52704996,0.50327647,0.48614824,0.48219287,0.49260625,0.51263183,0.53536934,0.5552719,0.56487113,0.5546054,0.5177612,0.46114752,0.40352345,0.36722854,0.36306515,0.3898253,0.43519315,0.48485538,0.52328306,0.5391452,0.52717495,0.49132028,0.4442635,0.40127036,0.37560487,0.37099925,0.38448098,0.40595242,0.42650816,0.44062278,0.45285717,0.47259656,0.50584966,0.5440697,0.5686088,0.56419176,0.5327779,0.48912415,0.44935063,0.42049477,0.4043797,0.4010131,0.41010365,0.42623612,0.44097397,0.44690695,0.4441372,0.4380887,0.43530294,0.4376339,0.44219497,0.44593582,0.44929338,0.45706037,0.47125754,0.4870886,0.49429557,0.4868505,0.47047928,0.45776656,0.45855477,0.4717902,0.49249062,0.5167164,0.5414397,0.5587547,0.55836886,0.5404261,0.51882726,0.5137299,0.53243524,0.5634229,0.58307457,0.57246274,0.530592,0.47198263,0.41593173,0.37263346,0.34296742,0.3236034,0.31259188,0.30863997,0.30902204,0.31060687,0.31188488,0.31361273,0.3168421,0.3216372,0.32746378,0.33371165,0.33941326,0.34310237,0.34528783,0.34943196,0.36087468,0.3808556,0.40624413,0.43115783,0.45361018,0.47302723,0.48892558,0.49769616,0.49886107,0.4964445,0.49767742,0.50563794,0.5177098,0.52803856,0.533102,0.5328148,0.53007555,0.5255599,0.51685196,0.49892378,0.47276008,0.44822678,0.4406438,0.45658854,0.4855453,0.50663334,0.5073361,0.49781084,0.49928364,0.5226657,0.55400467,0.57155806,0.5698252,0.5669634,0.5854873,0.62554073,0.66407657,0.6727373,0.6436979,0.59133106,0.5390703,0.5016302,0.48145702,0.4762666,0.48544416,0.50897914,0.54115605,0.57004637,0.5845205,0.58328205,0.5754214,0.5731125,0.5797668,0.58970356,0.5917723,0.5832167,0.56807345,0.5565755,0.55166,0.5523829,0.55370307,0.5557502,0.559454,0.5655229,0.5702329,0.5695257,0.5631843,0.55593246,0.55367416,0.55620724,0.55853206,0.5561134,0.55181223,0.55167365,0.5575649,0.564631,0.5678962,0.569127,0.5737362,0.58270645,0.58871055,0.5834836,0.5660212,0.5437439,0.52369326,0.5069255,0.48887703,0.4657056,0.43708405,0.40598926,0.37842515,0.3614271,0.36195192,0.38130605,0.4161569,0.4591621,0.50452304,0.5457633,0.5762625,0.59014213,0.58903307,0.5808683,0.57182854,0.56044906,0.5430973,0.52452093,0.5151617,0.5197929,0.52921826,0.5297181,0.5159064,0.49734482,0.48937264,0.5024221,0.53377223,0.5731495,0.60970145,0.6406803,0.6676424,0.6937192,0.7170108,0.73410916,0.7389605,0.72927994,0.7050674,0.67389935,0.644419,0.62544227,0.617926,0.61837107,0.61958814,0.61848897,0.6143283,0.60801077,0.59494454,0.5694169,0.528547,0.48049152,0.4401659,0.42187297,0.43004742,0.45853773,0.4962546,0.53332406,0.56266063,0.5798165,0.5836113,0.5793682,0.574519,0.57332206,0.57224363,0.56646013,0.55635685,0.54909617,0.55211955,0.56641823,0.58634955,0.60481,0.6187552,0.63101554,0.6469328,0.6707723,0.70112723,0.73127365,0.75144935,0.75338453,0.7338626,0.69776344,0.65936166,0.63599104,0.63411564,0.6431406,0.64489925,0.63452625,0.6231083,0.62237734,0.62604636,0.61450624,0.57413894,0.51197916,0.44861186,0.40288544,0.38058352,0.3796467,0.39667526,0.4303355,0.47525224,0.51994735,0.551958,0.56714296,0.5717044,0.57451177,0.5783598,0.5803887,0.5798962,0.5825664,0.5938615,0.610383,0.62016135,0.614433,0.5946807,0.5719436,0.5570271,0.55896497,0.58199143,0.62655973,0.68302965,0.7332341,0.7547973,0.7357667,0.68448305,0.62875104,0.59528184,0.5895736,0.59367853,0.587935,0.5704139,0.555069,0.5537791,0.56422496,0.57569885,0.5798023,0.5760987,0.5675692,0.5577813,0.5496214,0.5487289,0.56007236,0.58402437,0.60962176,0.6211889,0.60836434,0.5777237,0.5470242,0.53203076,0.53321666,0.539314,0.5386323,0.5296504,0.51815385,0.51001924,0.50529677,0.49969172,0.49071017,0.48040274,0.47718832,0.4867345,0.5090694,0.534507,0.55502295,0.56816965,0.57989764,0.5927281,0.60296166,0.6020958,0.5890524,0.5712249,0.55927145,0.5576151,0.56331897,0.5715876,0.5785651,0.5827071,0.5818971,0.575942,0.56732625,0.5606814,0.55956316,0.5626168,0.5670884,0.5702353,0.5739744,0.579561,0.58744794,0.59420234,0.597234,0.5948055,0.58714294,0.57453233,0.5580155,0.54071367,0.5285385,0.528173,0.54273343,0.56847507,0.5949467,0.60959524,0.60306454,0.5747438,0.53217643,0.48929286,0.4591042,0.45139456,0.46640274,0.49528816,0.51983714,0.52476984,0.50665957,0.4789115,0.46040845,0.4606451,0.47208762,0.4780556,0.46973404,0.45348963,0.44238165,0.44100562,0.4429159,0.44144234,0.4385532,0.4391549,0.44251594,0.4411621,0.43217918,0.41896248,0.40803945,0.40013912,0.3950484,0.39434063,0.40262222,0.4201478,0.44250247,0.46542445,0.48876452,0.51361877,0.5358072,0.5493469,0.551918,0.549856,0.5501787,0.55574465,0.56238216,0.56398493,0.55606145,0.53943294,0.52172166,0.51281804,0.51792234,0.5303646,0.5363659,0.5229156,0.48868325,0.44178924,0.39565644,0.35920513,0.33649972,0.32598463,0.32340935,0.3226812,0.3182895,0.30870017,0.29672053,0.28841743,0.28825888,0.29604372,0.30614212,0.31158924,0.31021455,0.30697095,0.31044063,0.32615924,0.35227418,0.38179722,0.4071041,0.42581487,0.44007215,0.45215976,0.45904136,0.45311916,0.43136442,0.40078315,0.3773791,0.37397456,0.39338145,0.42721888,0.46228933,0.48550555,0.48777512,0.4676219,0.43247262,0.39652562,0.37301624,0.36944997,0.3851435,0.4152044,0.4513564,0.48485222,0.5088308,0.52472675,0.5422383,0.57093406,0.60733026,0.6340435,0.63266635,0.6018007,0.5588978,0.5278402,0.519865,0.5278375,0.53479,0.52910703,0.51344603,0.497985,0.49045777,0.48774174,0.4823347,0.46829435,0.44650015,0.42047465,0.39518604,0.37650776,0.37205604,0.38489035,0.4082478,0.42670324,0.4292997,0.4196266,0.41383862,0.42537233,0.45297965,0.48253918,0.49958643,0.49852952,0.48245767,0.45702055,0.42882454,0.40427497,0.39027348,0.3899642,0.40378729,0.42848095,0.45897043,0.4858563,0.4990691,0.49147618,0.46566722,0.43093285,0.39919594,0.37590596,0.36049107,0.34811047,0.33699027,0.32929215,0.32861796,0.33523393,0.34529838,0.35595384,0.36791995,0.3849211,0.407559,0.43301252,0.4565551,0.47619152,0.49100208,0.50029546,0.5024607,0.49772215,0.4887605,0.4792702,0.4722725,0.46927705,0.47181666,0.48114157,0.4977622,0.519455,0.5400164,0.551244,0.546582,0.526076,0.4951279,0.46193805,0.4339143,0.41663203,0.41241887,0.41801825,0.42715952,0.43398026,0.43908343,0.4472709,0.4659681,0.49765077,0.5379451,0.5728697,0.58857816,0.58143884,0.56534714,0.5604375,0.57602745,0.60028595,0.611617,0.59737974,0.5656116,0.5338641,0.51329273,0.49904963,0.48116586,0.45753148,0.4372486,0.43162188,0.4424388,0.46433714,0.48960438,0.5155351,0.5404666,0.56230766,0.5791996,0.59117955,0.6005144,0.6054716,0.60225445,0.5862145,0.55871373,0.5246319,0.49073592,0.46177658,0.44015494,0.42583,0.41697332,0.41270375,0.41320705,0.41951182,0.43061224,0.44502866,0.4612647,0.47783485,0.49022508,0.4919118,0.47885072,0.4550247,0.43172717,0.42308152,0.43811622,0.47647825,0.52616924,0.5691168,0.58960867,0.5813691,0.54899645,0.5024715,0.45494294,0.4174349,0.40022245,0.4068563,0.4357132,0.47655913,0.5176495,0.5492196,0.56994915,0.5852112,0.60441905,0.6353712,0.6789748,0.7239787,0.7504492,0.74064904,0.69372195,0.6249861,0.55572194,0.49818876,0.45491686,0.42321852,0.40139833,0.38732862,0.37831876,0.37125123,0.36638585,0.36568096,0.372653,0.3896551,0.419793,0.46416155,0.51894456,0.57127404,0.60413677,0.6051815,0.57796377,0.5389257,0.50924367,0.4988698,0.5052301,0.5155687,0.5186226,0.5078717,0.4839039,0.45151532,0.41836214,0.39201578,0.37666902,0.3724803,0.37591812,0.3851465,0.39910197,0.41817316,0.43693778,0.44766605,0.44188717,0.42263928,0.40308306,0.40522587,0.44110355,0.50466716,0.56546783,0.5902028,0.5612944,0.49231884,0.4131707,0.35343266,0.32848093,0.34113565,0.38420168,0.4409542,0.4908038,0.51607615,0.5140839,0.49657452,0.48502693,0.49449515,0.52317166,0.5524004,0.56151533,0.5452593,0.51626027,0.49429616,0.48997876,0.50064605,0.51576096,0.5270384,0.5331729,0.53871757,0.5509916,0.5750814,0.60983515,0.64261216,0.65482664,0.63250536,0.58063394,0.52090406,0.4801742,0.47283506,0.4941167,0.5243017,0.54139584,0.53614706,0.51598775,0.49891496,0.49719146,0.5102275,0.5273499,0.5375965,0.5349476,0.5172988,0.4869254,0.45155326,0.4245331,0.41788575,0.43422997,0.46507975,0.4957095,0.51444024,0.51749116,0.50994676,0.5000481,0.49169564,0.48181376,0.46563217,0.44583365,0.43335935,0.43787813,0.4578222,0.4800608,0.49375817,0.5013242,0.5185934,0.55648917,0.60592693,0.6397434,0.6360635,0.5999039,0.5603721,0.5480899,0.5710153,0.61293906,0.647033,0.656055,0.64017016,0.61246496,0.58524853,0.56097645,0.534146,0.5005408,0.46400535,0.43494248,0.4237176,0.43409267,0.4605154,0.49031487,0.50913423,0.5090482,0.4922136,0.4707594,0.45749143,0.45853105,0.46845517,0.47593978,0.47124282,0.4515021,0.4210689,0.38722765,0.3576944,0.33674717,0.32539955,0.3227359,0.3288482,0.34658167,0.37780383,0.42111206,0.46855664,0.5090943,0.531665,0.53107476,0.5119507,0.48814702,0.4775113,0.4899257,0.5221843,0.5583017,0.58200717,0.58528644,0.570936,0.5458879,0.5151226,0.48194993,0.45093176,0.43024147,0.42729113,0.44263825,0.46551147,0.4792877,0.4729351,0.45178366,0.4330999,0.433455,0.4536446,0.48067403,0.4977444,0.49950895,0.49273244,0.48846614,0.4902155,0.4939333,0.4953269,0.4955708,0.4965956,0.49474943,0.4821942,0.4574906,0.43115604,0.41916624,0.42866293,0.4517217,0.4735218,0.48759624,0.50085133,0.52507526,0.5591617,0.5890394,0.5956039,0.577688,0.5484752,0.53035814,0.5312386,0.54577273,0.5576795,0.5569741,0.54366165,0.52567047,0.50888246,0.4923954,0.47230855,0.44840693,0.42704996,0.41612312,0.41925398,0.4337424,0.45481232,0.47917578,0.5044579,0.52475286,0.5308027,0.5163948,0.48739398,0.46054888,0.45477188,0.47648033,0.5153422,0.5479932,0.55368227,0.5271723,0.48223588,0.44067442,0.41559732,0.40484515,0.39560318,0.3791674,0.35747012,0.34360695,0.3500124,0.380362,0.42427412,0.46489373,0.4887742,0.4943781,0.49129233,0.492353,0.5057655,0.5301859,0.5574661,0.5773816,0.5840192,0.57813925,0.56618935,0.5550172,0.54787797,0.54272527,0.5370833,0.52982545,0.52326125,0.5178785,0.512441,0.5022076,0.48372343,0.45619878,0.42518774,0.4000878,0.38971555,0.39660057,0.4160703,0.44062352,0.46287182,0.47776255,0.48295152,0.48008862,0.47431242,0.46934173,0.46701968,0.4663607,0.4682516,0.4733573,0.4831849,0.4985262,0.5208381,0.549901,0.5820229,0.6095013,0.6251655,0.62653786,0.61749977,0.6043959,0.5925549,0.58484244,0.58229756,0.5852008,0.59261364,0.602797,0.6130429,0.62031156,0.6227707,0.61983943,0.6142276,0.6103038,0.6143845,0.6288707,0.65054125,0.670335,0.6802291,0.6758805,0.6564093,0.6230878,0.5819118,0.5447219,0.52310795,0.5202873,0.5289331,0.53713,0.53602856,0.52373856,0.5077482,0.5012779,0.5153515,0.54498976,0.57020724,0.5681288,0.5359865,0.49127352,0.46020833,0.45412588,0.46762034,0.48329568,0.48671576,0.47089323,0.43959916,0.40253022,0.3691242,0.34353852,0.32491645,0.31394634,0.3135213,0.32870254,0.36079827,0.40864503,0.4655414,0.51866406,0.5504889,0.5487939,0.519926,0.4856801,0.47166586,0.4885386,0.5330987,0.58953196,0.63738006,0.65381044,0.62806207,0.5710371,0.51211524,0.47893587,0.47824085,0.49653152,0.51201755,0.51128733,0.49163637,0.4594748,0.42247573,0.3876064,0.35993826,0.34433356,0.34393534,0.35933343,0.3855289,0.41464958,0.43667772,0.4452134,0.43759286,0.4172615,0.39145657,0.3686889,0.35443303,0.34751657,0.343269,0.3376679,0.33301625,0.33434245,0.34694228,0.37280008,0.41356716,0.46656212,0.52233547,0.56269646,0.57492715,0.561816,0.5441377,0.540812,0.55573875,0.57597333,0.5898177,0.5974446,0.60770607,0.6227992,0.63140917,0.618602,0.581455,0.53633016,0.5060498,0.50398284,0.52104026,0.5373829,0.53637844,0.5214726,0.50506234,0.4969095,0.49112782,0.47850552,0.456923,0.43739465,0.43187246,0.44227254,0.45765367,0.4638181,0.4554176,0.43906483,0.4264489,0.42296493,0.42505538,0.42693588,0.43009877,0.44350827,0.47484934,0.52121276,0.56994087,0.607137,0.62566286,0.6253009,0.6067763,0.5714249,0.5238883,0.4796503,0.4550102,0.45821297,0.47845528,0.50070363,0.5147756,0.5226743,0.52580017,0.52250296,0.5104673,0.49548626,0.48971108,0.5017931,0.5301432,0.5625337,0.58887345,0.60881096,0.6348962,0.6779537,0.7360584,0.7912975,0.8238316,0.8245558,0.7978317,0.75516725,0.70911026,0.6722102,0.6520071,0.64609784,0.6413269,0.62583834,0.5998389,0.573869,0.5557383,0.5412629,0.52123076,0.49280897,0.464993,0.45033076,0.45518395,0.47404218,0.49333403,0.49853858,0.4845746,0.45744944,0.4324106,0.42203772,0.4327271,0.4602507,0.4954381,0.5259976,0.54503995,0.55303794,0.55724645,0.5599487,0.554873,0.53103644,0.4899936,0.44670108,0.42101836,0.41775808,0.42995155,0.4481872,0.47415432,0.5103865,0.54996294,0.5731433,0.56347364,0.522731,0.46951553,0.42583498,0.40081954,0.391899,0.39032054,0.391752,0.39479813,0.3995953,0.40313232,0.40178525,0.39380607,0.38255605,0.37506393,0.37811694,0.3945508,0.4223361,0.45547915,0.48555624,0.5025361,0.50013953,0.4802173,0.45583448,0.4431419,0.4519069,0.47852764,0.51145613,0.54013056,0.5594299,0.56758493,0.5627319,0.54741424,0.5312268,0.52901864,0.54887104,0.5829025,0.6091478,0.6055419,0.5670044,0.5072524,0.4466014,0.3973951,0.36222187,0.34263277,0.34038118,0.35325003,0.36977187,0.37812784,0.3753744,0.36943737,0.36942434,0.37650105,0.38508603,0.3891227,0.38886365,0.38893437,0.39639536,0.41504148,0.44476962,0.4780635,0.5047459,0.5147548,0.50583524,0.4819219,0.4518613,0.42292336,0.40041432,0.3879867,0.3909839,0.41415522,0.4560287,0.5021413,0.5308211,0.52591866,0.49118614,0.4455025,0.41159713,0.4015148,0.416175,0.44630256,0.4773961,0.49451616,0.48910162,0.4644864,0.43192342,0.40523124,0.39052847,0.38551545,0.38138583,0.3724538,0.36173248,0.3585262,0.3715681,0.40032932,0.43652403,0.467386,0.48292398,0.47804627,0.45346436,0.4157051,0.37595463,0.3477148,0.34151545,0.36072817,0.40001455,0.44559386,0.4812893,0.49501386,0.48693728,0.46681753,0.44695827,0.43435153,0.42943037,0.42953768,0.42948171,0.42389163,0.40954685,0.39099503,0.38006186,0.38781324,0.41534415,0.4499925,0.4739242,0.47392824,0.44976285,0.4114394,0.37386847,0.34906027,0.3437353,0.3577144,0.3840185,0.40931726,0.42022005,0.41170302,0.39222977,0.37714592,0.37753847,0.39377573,0.41988897,0.45178393,0.48764023,0.52139145,0.53773886,0.5210598,0.4705721,0.40623453,0.35596892,0.33732066,0.34906232,0.37810937,0.40755782,0.42384255,0.4186809,0.39395395,0.35984015,0.33096376,0.31940845,0.33129334,0.36482596,0.40813062,0.44404545,0.45796534,0.45024732,0.43324217,0.4222691,0.42186746,0.42705593,0.42967415,0.4248496,0.4108099,0.3872631,0.35754088,0.3283541,0.30839086,0.3022374,0.30961895,0.32513812,0.3419594,0.35394156,0.35862795,0.35907555,0.36194852,0.37402967,0.39549288,0.4185234,0.43108484,0.4254042,0.40393582,0.37562564,0.35112914,0.33684942,0.33694568,0.35312566,0.3845943,0.42594945,0.4651885,0.48858404,0.48577532,0.45896435,0.41943076,0.3825799,0.357519,0.3476205,0.3513966,0.3666679,0.38863316,0.4100251,0.42230347,0.42182592,0.41456914,0.4148806,0.43619356,0.47767082,0.52131015,0.5411567,0.52397865,0.47757494,0.4263612,0.39352915,0.39047965,0.41316998,0.4461806,0.47063056,0.4730653,0.45420852,0.4256302,0.40259472,0.39213142,0.39360714,0.39960527,0.4040172,0.4014661,0.39203668,0.3782842,0.36648762,0.36012396,0.35907745,0.35927117,0.35783312,0.35527322,0.35319734,0.35070243,0.34369144,0.33057117,0.316244,0.31067678,0.32020685,0.3423395,0.36931285,0.39866224,0.4362141,0.4869225,0.54309505,0.5876553,0.6090276,0.61176544,0.60657007,0.59613913,0.57154655,0.52802736,0.47674096,0.43948278,0.43093446,0.44650683,0.46940556,0.48231766,0.47651663,0.4511304,0.41262338,0.3762683,0.3612624,0.38256124,0.4350709,0.4942561,0.5266111,0.5147435,0.46816,0.41452006,0.37781724,0.36238912,0.3593848,0.35722712,0.35293356,0.34830603,0.3476713,0.3514684,0.35708094,0.359544,0.35699144,0.3515348,0.34723556,0.34622025,0.34829178,0.35483623,0.3691754,0.39524123,0.4310358,0.47032723,0.5028352,0.52256477,0.52743006,0.52319264,0.51583964,0.50806004,0.4951817,0.47138616,0.4376353,0.40268958,0.3778949,0.36821055,0.36982122,0.3735435,0.37052825,0.35866717,0.34157154,0.32656762,0.31777933,0.3161775,0.31970796,0.32694188,0.33553502,0.3426491,0.34464213,0.34036767,0.33092526,0.31935647,0.30786756,0.29795465,0.29035738,0.2860501,0.28615034,0.2910109,0.3001633,0.31224227,0.32509258,0.3361876,0.34225455,0.34337857,0.3428707,0.34949756,0.37026814,0.40688896,0.4510685,0.4925067,0.52732897,0.561578,0.59930587,0.6306967,0.63520426,0.6001925,0.5381029,0.47994617,0.45683396,0.47755742,0.5277733,0.57733864,0.5988131,0.5778926,0.52019525,0.44615212,0.3817971,0.34612632,0.34481654,0.3690696,0.40305865,0.43133107,0.44627383,0.44596437,0.43139789,0.4025677,0.36415648,0.32701746,0.305909,0.30915126,0.33381286,0.3687438,0.40099326,0.42211673,0.42810294,0.4211556,0.40640712,0.39058807,0.37652922,0.36440155,0.353578,0.34707403,0.34854606,0.35902652,0.3743588,0.38973844,0.40250432,0.4129146,0.42024496,0.42351198,0.42192435,0.41862395,0.41673267,0.41889238,0.422073,0.42297664,0.41993317,0.41889036,0.4265151,0.44484535,0.46625197,0.4809551,0.48258588,0.47198066,0.45351967,0.43480444,0.42371067,0.42472303,0.43318895,0.43816313,0.4316595,0.41780415,0.40899572,0.41473767,0.4315723,0.44741607,0.4529346,0.45097408,0.45308614,0.4683039,0.49265087,0.5109589,0.5068352,0.4770706,0.43276644,0.39326265,0.3724223,0.37529087,0.3988416,0.4358715,0.47582564,0.50680655,0.521118,0.5188257,0.50556713,0.48810187,0.47183707,0.46480408,0.47368208,0.5000134,0.5331592,0.5605624,0.5768271,0.5913406,0.6165684,0.6547876,0.6897643,0.69779396,0.6657761,0.603986,0.5380157,0.49120906,0.47052708,0.46962932,0.4778298,0.48724225,0.49215987,0.4893929,0.47952402,0.4692118,0.46675873,0.47669944,0.49504134,0.5126924,0.52127695,0.51769334,0.5035319,0.48267946,0.46023646,0.44271073,0.43566164,0.4406989,0.45346853,0.46836165,0.4827834,0.4993957,0.51937056,0.5399787,0.55366606,0.55662376,0.54894406,0.5367107,0.5288665,0.53768724,0.57164913,0.6258917,0.6798692,0.7070639,0.69208837,0.63936496,0.5696842,0.50830454,0.4710122,0.45796204,0.45646477,0.45416883,0.45055607,0.45664826,0.4841825,0.53105885,0.5818076,0.6164251,0.6266239,0.6178048,0.6033506,0.5905161,0.57811695,0.5606478,0.53882545,0.51807517,0.5037947,0.49393287,0.4844989,0.47379813,0.46596637,0.4631882,0.46553183,0.4712863,0.48463258,0.50815684,0.5406433,0.57242054,0.5969325,0.60966855,0.60801214,0.5865312,0.5468069,0.5035545,0.4789019,0.48514757,0.512477,0.5378024,0.54385227,0.53415984,0.5259831,0.53174525,0.5460771,0.5520458,0.5383778,0.51047164,0.48526666,0.47809288,0.49060145,0.5128988,0.5308964,0.53903776,0.54232496,0.5537755,0.5827429,0.62667394,0.6678023,0.68357617,0.661213,0.6091001,0.5494449,0.5042177,0.47972617,0.4694005,0.46080765,0.4484779,0.43478855,0.42919633,0.43936837,0.46644744,0.50239056,0.53539586,0.5572476,0.56761104,0.572156,0.5767172,0.5838473,0.5916435,0.5963853,0.59380573,0.5828883,0.5653221,0.54407305,0.51878446,0.48603252,0.44483647,0.40049306,0.36386308,0.3437511,0.34322,0.35945666,0.38569987,0.41426268,0.4374031,0.45347273,0.46532777,0.48038515,0.5013842,0.5263327,0.547348,0.5591292,0.56330544,0.5702445,0.5903364,0.621877,0.64653516,0.6398228,0.5897847,0.5076455,0.4197317,0.3507146,0.31160426,0.30118322,0.3140099,0.3429344,0.38129225,0.42040375,0.4564773,0.48781648,0.51559204,0.5374368,0.5513037,0.557314,0.5591691,0.55943584,0.5573023,0.54983705,0.537378,0.5222474,0.50641793,0.48679125,0.45998693,0.4266661,0.3940848,0.37109113,0.36391976,0.37373984,0.3991705,0.43568185,0.47882786,0.52121705,0.5555935,0.57357985,0.5734463,0.5612435,0.5479284,0.5394805,0.5314007,0.5166247,0.49419168,0.47448042,0.4662392,0.4667504,0.46013382,0.4338218,0.39193988,0.35424006,0.34004894,0.3542906,0.38722435,0.4248635,0.45836857,0.48633945,0.51089746,0.5343136,0.5590438,0.5895424,0.6307767,0.6805549,0.72401565,0.7384611,0.7102074,0.64755327,0.57736903,0.52639496,0.5035196,0.4972196,0.48756322,0.4634733,0.429956,0.4021521,0.38913855,0.38660225,0.38151622,0.36760446,0.34962878,0.33806762,0.33765307,0.3456627,0.35645723,0.36610755,0.37448928,0.38431838,0.40151307,0.43132052,0.47413442,0.5204955,0.5520993,0.5499373,0.5076451,0.4393364,0.3724654,0.33090863,0.32297996,0.34216154,0.37565258,0.41078874,0.4409522,0.4673419,0.4975818,0.5370702,0.58247596,0.6225033,0.64503646,0.6463198,0.6316456,0.61093086,0.58743286,0.55659866,0.5108518,0.45169067,0.38911977,0.33641243,0.30121028,0.2871777,0.29625395,0.32802042,0.37561834,0.42518485,0.4651177,0.49285063,0.5155597,0.5394242,0.5642502,0.5845123,0.5976606,0.60520023,0.6092983,0.60896224,0.60407263,0.59920865,0.5998835,0.6031581,0.5961686,0.566765,0.516235,0.4590529,0.4138936,0.39325464,0.40201977,0.43704903,0.4909518,0.55337876,0.6154592,0.6669255,0.69828653,0.70223045,0.6827795,0.6513625,0.62011975,0.5913036,0.56141806,0.5297632,0.5048776,0.50037676,0.52161413,0.5594472,0.59290355,0.6068447,0.5989211,0.57952666,0.5596864,0.5488024,0.5515321,0.566206,0.5819215,0.5839646,0.5668749,0.5393324,0.5201407,0.5216315,0.5425934,0.5675563,0.5812991,0.5787558,0.5697786,0.5678311,0.57953477,0.5983339,0.6109655,0.6044225,0.57403,0.52571267,0.47649288,0.4454783,0.4448155,0.4712596,0.5108793,0.54523975,0.5628881,0.56114835,0.5477036,0.53160244,0.5189827,0.50882864,0.49807194,0.48460793,0.4693613,0.45389915,0.43977308,0.4280975,0.42046165,0.41699302,0.41566965,0.41230235,0.40449604,0.39500287,0.39083195,0.3985758,0.41794455,0.44245508,0.46401617,0.4788734,0.4876437,0.49027002,0.48520175,0.47040674,0.44990554,0.43159163,0.42544624,0.43599615,0.460978,0.49144793,0.517996,0.5359254,0.54690593,0.5551372,0.56310755,0.56928235,0.5710661,0.5669307,0.55877566,0.54916,0.5402043,0.5327787,0.5282128,0.52701634,0.5274187,0.5251021,0.5175361,0.5060535,0.49521443,0.48826444,0.48654866,0.49048612,0.50179774,0.5203733,0.54232734,0.5589382,0.56395406,0.5560403,0.5407396,0.5229475,0.5073773,0.49696067,0.49734068,0.51178443,0.53920674,0.5710972,0.59772843,0.6128366,0.6160824,0.6105471,0.6004347,0.5911372,0.5877693,0.5929706,0.6045113,0.61611646,0.6209619,0.6147504,0.5986049,0.5782272,0.5608952,0.5517195,0.5511908,0.5569439,0.56420857,0.56916785,0.5694209,0.56647474,0.5633593,0.5625565,0.56405896,0.56734174,0.57403976,0.5874741,0.6093213,0.636431,0.6610806,0.6756627,0.67640543,0.6674855,0.6573308,0.6546838,0.66002935,0.66715926,0.6669918,0.6566282,0.6390081,0.6207922,0.6068885,0.60055846,0.60205024,0.60932386,0.6172759,0.62060714,0.6164147,0.60692734,0.5981912,0.59569365,0.59804845,0.59852165,0.5896831,0.5731964,0.554455,0.53962845,0.5263701,0.5125343,0.49724606,0.48548135,0.47992003,0.48014832,0.48287,0.4862845,0.49014267,0.49362776,0.49472234,0.49249533,0.4876134,0.4822867,0.4779972,0.47793007,0.48395434,0.49521375,0.5050772,0.5078626,0.50213635,0.49280092,0.48425582,0.48035434,0.48160672,0.48813996,0.4945252,0.49422583,0.48129284,0.45855892,0.4334062,0.4139336,0.40159023,0.3937993,0.3882077,0.38714215,0.3961148,0.41742054,0.44671154,0.47357047,0.49142316,0.5022008,0.51589876,0.5381667,0.5648393,0.5831755,0.5850628,0.5729638,0.5599647,0.55849344,0.5735326,0.5991449,0.62474376,0.6400888,0.63989705,0.62252545,0.5912455,0.55324054,0.52133924,0.50687283,0.51554275,0.54063565,0.5704389,0.5940338,0.6094672,0.6188849,0.62448865,0.6246299,0.6182768,0.6072803,0.596939,0.5900371,0.58499044,0.5758362,0.55934674,0.53707343,0.5144726,0.49420044,0.47554228,0.45746005,0.44378123,0.44103813,0.4537964,0.48024258,0.5133043,0.5435621,0.5628639,0.5675996,0.55866635,0.53947014,0.51204073,0.4794595,0.44833377,0.42977467,0.43202427,0.45592,0.49371758,0.5353937,0.5723917,0.60057163,0.61804533,0.623419,0.61392885,0.5879621,0.5480952,0.50282544,0.46308413,0.43766978,0.42899117,0.43309382,0.44162646,0.44605783,0.44139853,0.42831638,0.4120244,0.39858148,0.39130008,0.3901113,0.39280108,0.39794922,0.4053935,0.41698852,0.433864,0.45480442,0.47405937,0.48393762,0.4794645,0.46306646,0.4438391,0.4315637,0.43049744,0.4373076,0.4446278,0.4454598,0.43849334,0.42832115,0.4237394,0.42913428,0.44227102,0.45446107,0.45900652,0.4534336,0.4410859,0.4274985,0.41839576,0.41550013,0.4154345,0.41189745,0.40079534,0.38279942,0.36146703,0.3416752,0.32730892,0.32236257,0.32637194,0.33599076,0.34421098,0.34804186,0.34749183,0.34628475,0.34590057,0.34675202,0.34723917,0.34694788,0.34614754,0.34731206,0.35161316,0.35694635,0.3575462,0.35039768,0.34023336,0.33724728,0.34941974,0.37506756,0.4054276,0.42935243,0.440923,0.43861386,0.42461494,0.40099072,0.37187228,0.34499195,0.33104774,0.33721384,0.36098635,0.39194044,0.41942993,0.4393486,0.45309642,0.46429518,0.47706106,0.4964316,0.5239488,0.5540013,0.573687,0.572951,0.550417,0.51410246,0.4741827,0.44100854,0.4265225,0.4412572,0.4858075,0.54030734,0.57412314,0.56288075,0.50855464,0.43247578,0.36177906,0.31100544,0.28406084,0.276744,0.28444076,0.300571,0.32000312,0.3380476,0.35294876,0.36483917,0.37724712,0.39511266,0.42047468,0.448562,0.46991205,0.47749877,0.47100854,0.45452476,0.4324135,0.40930906,0.39205727,0.38787556,0.39887944,0.42070547,0.44644913,0.47214374,0.49339294,0.5037103,0.49280402,0.45940486,0.41308042,0.3768576,0.37170133,0.408674,0.47734293,0.54812294,0.5848766,0.5654597,0.4972078,0.40884733,0.331818,0.2814474,0.25645447,0.24750692,0.24619727,0.24879579,0.25514007,0.26640967,0.2824526,0.30019596,0.3160884,0.3272117,0.33421794,0.33815598,0.3419787,0.34768462,0.35807708,0.3721058,0.38635895,0.39640924,0.40191695,0.40561616,0.4088186,0.4093636,0.40304518,0.38950542,0.3716723,0.3554721,0.34504256,0.3434224,0.3510845,0.36760572,0.3897151,0.41110465,0.42333317,0.42199674,0.41117465,0.402647,0.40572524,0.42013028,0.43483248,0.4398712,0.4351354,0.43315247,0.4466718,0.4756734,0.5032675,0.5080798,0.48199987,0.43663236,0.39403403,0.37027323,0.36706495,0.37424502,0.37863377,0.37181976,0.355036,0.33769128,0.33222666,0.3446165,0.37315258,0.40941176,0.44682062,0.47902253,0.5008303,0.5049125,0.4873635,0.45150712,0.40815854,0.3715479,0.3503488,0.34674096,0.35507178,0.36933354,0.3841777,0.39875004,0.41142392,0.41964683,0.41842663,0.40749583,0.39155066,0.37809524,0.37091246,0.3698713,0.3740121,0.38107726,0.38634697,0.38202503,0.36449876,0.33761132,0.31118014,0.29358268,0.2876794,0.29229772,0.30529568,0.32471168,0.34625307,0.3628944,0.3681736,0.3603383,0.34291998,0.32112536,0.29982063,0.2839755,0.2792714,0.2906488,0.31837976,0.35713422,0.39482725,0.41794363,0.4160355,0.38955438,0.34808925,0.30583513,0.2728469,0.2533041,0.24630587,0.24950163,0.25967947,0.27374628,0.28790048,0.29968715,0.30770454,0.31348178,0.31836852,0.3234791,0.3270826,0.32914034,0.33132085,0.33792353,0.34814134,0.35686812,0.35756895,0.35191908,0.34656954,0.3470614,0.350677,0.3507125,0.3425198,0.32634333,0.30581585,0.28501427,0.26926255,0.26530716,0.2812283,0.3205087,0.37589863,0.42837846,0.4584669,0.4597573,0.44307256,0.42379642,0.4092258,0.3957069,0.3788997,0.3593832,0.34132007,0.3264759,0.31412813,0.30410406,0.29827425,0.29844365,0.3044881,0.3148391,0.32797897,0.3412378,0.35036826,0.35019216,0.3390425,0.32012442,0.3005931,0.28706488,0.28300956,0.28866938,0.30322507,0.3259178,0.35569227,0.3894819,0.4239521,0.45490697,0.480315,0.49859452,0.51235324,0.5242009,0.5336511,0.5320217,0.5093879,0.46521664,0.41520545,0.38059613,0.37381425,0.38752675,0.4054661,0.41299424,0.4086499,0.39783427,0.38823557,0.3820807,0.37661064,0.36707595,0.3531276,0.34298405,0.34806904,0.37341857,0.40947023,0.43723822,0.4412699,0.42108047,0.39112902,0.36832294,0.36104235,0.36577976,0.37515876,0.38531134,0.39675522,0.41061625,0.42315802,0.42847097,0.4226934,0.41014835,0.40042588,0.40101168,0.41170606,0.42493832,0.4338933,0.43630457,0.43785837,0.4460263,0.4650085,0.48778823,0.4994217,0.48656425,0.45008934,0.4056711,0.3722357,0.35819426,0.3583388,0.36181617,0.36164644,0.35721406,0.3525749,0.35329843,0.36289668,0.37938622,0.39365134,0.3978,0.39021587,0.37861732,0.36963668,0.36544278,0.36196992,0.35588384,0.3464688,0.33614495,0.32816437,0.3251035,0.33006802,0.34601367,0.37477258,0.41176823,0.4468985,0.46971223,0.47673023,0.47269425,0.4638684,0.4545711,0.44453225,0.43359986,0.420333,0.4044967,0.38510725,0.3642808,0.3459853,0.33659732,0.3397219,0.3561318,0.3830547,0.4169881,0.45042813,0.47177514,0.4688525,0.439003,0.3924068,0.34603345,0.3127232,0.29578438,0.29204586,0.29665947,0.30735257,0.32356942,0.3461746,0.373947,0.4026675,0.4249916,0.4354523,0.4347084,0.42802203,0.41888216,0.40435055,0.3801444,0.34778786,0.31722295,0.29962137,0.29984745,0.31403968,0.33416846,0.35371768,0.3701111,0.38462272,0.4000896,0.4185971,0.43779215,0.45200476,0.45643136,0.4539388,0.45063996,0.45097998,0.45088443,0.44806674,0.4444201,0.4487451,0.46310237,0.4831363,0.4995085,0.5100786,0.5173039,0.5257655,0.5338733,0.5389538,0.5382537,0.532073,0.5194005,0.5002629,0.4782249,0.45967707,0.44735643,0.4355174,0.41519153,0.38313958,0.34539124,0.31240118,0.29127142,0.2833499,0.28505394,0.29160574,0.29891476,0.30525294,0.31067836,0.3159941,0.32185903,0.328409,0.33517763,0.3396385,0.33795857,0.3270811,0.30881009,0.28968096,0.27758276,0.27680787,0.2858039,0.29927838,0.31133756,0.31943902,0.32343164,0.3241939,0.32092926,0.31296197,0.3013279,0.28933665,0.28098986,0.27837238,0.2813952,0.2874854,0.2947987,0.30389896,0.31811008,0.33998132,0.36648893,0.39020216,0.40270257,0.40259162,0.39421675,0.38475132,0.37676558,0.36903584,0.35932788,0.3491423,0.3431807,0.34733394,0.36397028,0.39043355,0.41823098,0.43827078,0.444731,0.43793622,0.42185816,0.40075615,0.3786234,0.35791668,0.34217012,0.33295524,0.33279064,0.34048438,0.35364237,0.36619428,0.3740491,0.37594977,0.3749278,0.37505746,0.37835598,0.38270727,0.38257805,0.37274107,0.35320565,0.32995355,0.31210583,0.3050672,0.30930874,0.32073823,0.33578196,0.3502454,0.3611679,0.3656853,0.3651295,0.36243054,0.36002424,0.3567277,0.3500484,0.33990362,0.32899594,0.32179546,0.32081822,0.32644427,0.33630693,0.34724417,0.3565142,0.36239588,0.36514708,0.3654047,0.36458096,0.36139378,0.3545228,0.34340748,0.3323731,0.3276193,0.33427212,0.35394177,0.3847879,0.42261267,0.46058008,0.4926114,0.51724344,0.5384405,0.5604221,0.5811115,0.59325886,0.5901608,0.5709756,0.53944236,0.50103,0.46126294,0.42602563,0.40087554,0.38980222,0.3926239,0.40393093,0.41429493,0.4158318,0.40650976,0.39039838,0.3730669,0.3585975,0.3478888,0.34085062,0.3360903,0.3335874,0.3324271,0.3322424,0.3318191,0.33254874,0.3363538,0.34365904,0.35027173,0.35172486,0.3477782,0.3443699,0.34777108,0.35982463,0.37709364,0.3953929,0.4135642,0.43146372,0.4472967,0.45540586,0.4524747,0.4400268,0.4258777,0.41739658,0.41821668,0.42653802,0.43811524,0.45134786,0.46766105,0.4909625,0.51912767,0.54631835,0.56421787,0.5715604,0.56978625,0.5603132,0.5401824,0.50913507,0.4748546,0.4507136,0.44522896,0.45375243,0.46304008,0.46280232,0.45348203,0.44224426,0.43451974,0.43126348,0.43193266,0.43647346,0.44288763,0.44607115,0.4421037,0.43283466,0.42478856,0.42324162,0.42913032,0.44068658,0.45623922,0.4721041,0.48292664,0.48218465,0.46904,0.4455973,0.41649136,0.38331357,0.34865746,0.3155912,0.2895454,0.27435198,0.27173823,0.27955982,0.29463968,0.31313097,0.3327279,0.35039225,0.3642751,0.3725989,0.37530658,0.37153658,0.3607315,0.34362528,0.32407334,0.30949703,0.307104,0.3207109,0.3448261,0.36804143,0.37854484,0.37356067,0.35879079,0.34291402,0.33062494,0.3216479,0.31404153,0.30698058,0.30114245,0.29779267,0.29799798,0.30251822,0.3105588,0.31968907,0.32688716,0.3307228,0.3321347,0.3318627,0.32946718,0.32250786,0.31138435,0.29958797,0.29461762,0.30113494,0.31905702,0.34200394,0.36310264,0.37718272,0.38162768,0.37478343,0.35721853,0.3335875,0.3112818,0.2970769,0.29330567,0.29811624,0.3066738,0.31503925,0.32223448,0.33041915,0.34101534,0.35157552,0.3574309,0.35580158,0.3488427,0.340405,0.33208275,0.32152808,0.3063999,0.28832528,0.2739507,0.26985624,0.27944753,0.29960427,0.3246611,0.34655154,0.3601775,0.36334977,0.35895702,0.35074344,0.34150216,0.33226034,0.32443058,0.32043466,0.32151237,0.3266671,0.3326747,0.33716574,0.3397955,0.34223178,0.34598947,0.35012925,0.3522294,0.35065237,0.34647658,0.34239712,0.3395661,0.33953726,0.34367427,0.35580182,0.37531376,0.39800838,0.41427884,0.41779122,0.40782073,0.39248443,0.3833302,0.38923934,0.4106461,0.43919444,0.46418822,0.47830975,0.4806504,0.47401595,0.4621364,0.44839022,0.43429133,0.42088428,0.40830943,0.39923438,0.39629373,0.40259704,0.4178224,0.43993974,0.46371725,0.48363528,0.49624005,0.50239754,0.50639087,0.5100202,0.51200145,0.50816816,0.4974259,0.48040828,0.45940602,0.43507373,0.40868756,0.38152826,0.35663065,0.3369682,0.3266463,0.3286778,0.34347615,0.36642107,0.38964525,0.40689063,0.41626206,0.41977474,0.41896287,0.4148511,0.40791738,0.40110472,0.3982794,0.4049306,0.42456722,0.45745373,0.49731287,0.53413665,0.5575576,0.5624632,0.5492838,0.52291816,0.48927614,0.4540647,0.42195508,0.39660558,0.38062954,0.3748851,0.3774688,0.38435078,0.39126325,0.39683935,0.4012331,0.40572128,0.41076696,0.41756654,0.42650393,0.43651533,0.44536307,0.45062125,0.4516858,0.44823495,0.44158292,0.43263462,0.4228598,0.41295636,0.40460387,0.40001014,0.40069142,0.4055879,0.4110601,0.4132063,0.40920413,0.39859664,0.38272798,0.36505595,0.34975252,0.3399742,0.33689782,0.3388845,0.34360632,0.34840775,0.353345,0.3602734,0.37219882,0.38950017,0.40974072,0.4289018,0.44462022,0.4561682,0.4641901,0.46881065,0.47093847,0.47024104,0.4667653,0.46042696,0.45597973,0.460076,0.4766877,0.50016254,0.5188279,0.5251984,0.52177435,0.517927,0.5175428,0.515158,0.49978516,0.4672029,0.42524263,0.388503,0.368315,0.36516225,0.37304702,0.38473347,0.39868557,0.4171221,0.44251934,0.47132492,0.49463,0.5044579,0.5005076,0.49007988,0.48088548,0.4758356,0.47240558,0.4667312,0.45642555,0.44095078,0.42122093,0.39812872,0.3744752,0.3539823,0.34136942,0.337672,0.34005192,0.34336782,0.34524417,0.34696186,0.35081932,0.35678247,0.36270714,0.36655203,0.3676498,0.36516586,0.35760853,0.34353665,0.32487008,0.30664697,0.29638135,0.2985799,0.31391895,0.33583498,0.35576382,0.3648062,0.36175027,0.351172,0.34194115,0.33809018,0.33784938,0.3358512,0.3313097,0.32862332,0.33319128,0.3446739,0.3587,0.3714098,0.38336158,0.39580008,0.40781006,0.41499695,0.413507,0.40233645,0.38403773,0.36289158,0.34228325,0.32489714,0.31256723,0.30727205,0.30875778,0.31410605,0.31951395,0.32445168,0.33226547,0.3467684,0.36635402,0.38482317,0.3940827,0.3916405,0.37943888,0.36375234,0.3492792,0.3396319,0.33614647,0.33972004,0.3511484,0.37069023,0.3972679,0.4265995,0.45310894,0.47181225,0.47977778,0.47462237,0.45448288,0.42134938,0.38321328,0.35321295,0.34180978,0.35260877,0.37912586,0.41163197,0.43996707,0.45906034,0.465628,0.459885,0.44343588,0.4217949,0.40103555,0.38664317,0.3799322,0.38025132,0.3855224,0.39426732,0.40300396,0.4073813,0.40395418,0.39396277,0.38214716,0.37341294,0.36911282,0.36693302,0.36266986,0.35331497,0.3389858,0.3232312,0.3115805,0.30840507,0.31477907,0.32684812,0.33847126,0.34505245,0.34738156,0.35020414,0.35812804,0.37158903,0.38663432,0.39714262,0.3981204,0.38883457,0.37339196,0.35920236,0.35230744,0.3552021,0.3661256,0.38149336,0.3969246,0.4080349,0.41048047,0.4016814,0.38294485,0.3605542,0.3430791,0.336337,0.3394077,0.34528515,0.34599814,0.33868846,0.3278788,0.3222082,0.3267982,0.3390789,0.34974197,0.35060835,0.3399613,0.32437655,0.31300023,0.31189385,0.32095528,0.33782244,0.36173305,0.39359915,0.4301268,0.46156034,0.47631225,0.4699035,0.44903436,0.42568377,0.41008425,0.40431252,0.40545917,0.40696225,0.40422127,0.39569712,0.38545272,0.3805717,0.38618264,0.40053204,0.41386187,0.4142193,0.39600077,0.3654531,0.3383281,0.32799003,0.33590838,0.3504777,0.35919562,0.35841075,0.35395694,0.35204396,0.35318032,0.35333857,0.34913763,0.34090975,0.33212057,0.32598317,0.3234577,0.32234582,0.32125106,0.32011512,0.3217412,0.32698283,0.33549324,0.34419763,0.35151052,0.35746825,0.36378315,0.37142578,0.37788606,0.37936923,0.37209377,0.357229,0.33911744,0.32419422,0.3169999,0.32010448,0.33339846,0.35345566,0.37257233,0.38323066,0.38358793,0.38068274,0.383391,0.39500633,0.41011465,0.42077363,0.4224027,0.41624475,0.4067131,0.39890352,0.3951546,0.39410067,0.39148256,0.38491938,0.37611637,0.36910835,0.36559442,0.3640568,0.36186782,0.3584101,0.35422516,0.3501059,0.34577262,0.34123898,0.3372917,0.33588076,0.3391908,0.3483514,0.36247456,0.37798357,0.38986444,0.39358997,0.38806656,0.37602127,0.3627552,0.35250378,0.34671068,0.34451178,0.3453802,0.3509557,0.36260673,0.37907258,0.39357856,0.3981862,0.38690987,0.3616592,0.33085796,0.30742243,0.30047023,0.3107725,0.32919833,0.3450744,0.35334954,0.35802197,0.3643789,0.37369642,0.38191012,0.38665196,0.3896275,0.39428258,0.40010187,0.40185925,0.39432177,0.3769052,0.355009,0.33570877,0.3237754,0.31911668,0.3193129,0.32252887,0.32907197,0.33909667,0.3501465,0.35804734,0.35982347,0.3565426,0.35072425,0.34435773,0.33739045,0.3310136,0.32784656,0.33042073,0.33821225,0.34833965,0.35760474,0.36463663,0.3689841,0.37135172,0.37178096,0.37088072,0.36850706,0.36500835,0.36007392,0.35426834,0.34912267,0.34801248,0.3536977,0.3675219,0.3864404,0.40411535,0.41176665,0.40525866,0.38742924,0.3667836,0.3494177,0.33619907,0.32461944,0.31419766,0.30755758,0.3088542,0.3195836,0.33730137,0.35517132,0.3666854,0.36779025,0.3604242,0.3489102,0.3384731,0.33024797,0.32323202,0.31604457,0.31110176,0.3122134,0.32121658,0.33602396,0.35435006,0.37596688,0.39977586,0.41949895,0.42479917,0.4104986,0.38126615,0.3500377,0.3269594,0.31526092,0.3107493,0.30887985,0.30712125,0.30621496,0.308313,0.3150543,0.32681617,0.3405273,0.35228255,0.3573171,0.3548285,0.34612712,0.33521762,0.3241485,0.31433305,0.30791715,0.3103502,0.32783318,0.3614774,0.40435687,0.44202653,0.45979074,0.4487897,0.41213644,0.3632164,0.31982636,0.29506794,0.29150426,0.30186394,0.31437385,0.32124606,0.32272515,0.32492384,0.33288005,0.3447554,0.3550215,0.35931945,0.35937953,0.3582102,0.35722053,0.35422096,0.3482612,0.3409598,0.33633313,0.33720705,0.34479582,0.3590286,0.37950993,0.4035608,0.42494425,0.43562886,0.43117583,0.4141895,0.39190868,0.3710196,0.35395277,0.3411012,0.3320271,0.3274776,0.3269976,0.33024547,0.33631256,0.344299,0.35252526,0.35856113,0.36149588,0.36159396,0.36004603,0.35752866,0.35561255,0.35853755,0.37067604,0.39297637,0.41935563,0.44125494,0.4527389,0.4548935,0.45174733,0.44693205,0.43945336,0.42757082,0.4095441,0.38774273,0.36522374,0.34551072,0.32941583,0.31764206,0.31154063,0.3141211,0.32735482,0.34987807,0.3756648,0.39603567,0.40416327,0.40026665,0.3907605,0.38299665,0.3779832,0.37246454,0.36372423,0.35421148,0.34816876,0.3479943,0.3541726,0.36609352,0.38215816,0.3960813,0.40031388,0.39053795,0.37150514,0.35168326,0.33741805,0.32791492,0.32042262,0.31412017,0.31206223,0.31676224,0.3281473,0.3432378,0.3590709,0.37324163,0.3843813,0.39034677,0.3896639,0.3816398,0.36879036,0.3544036,0.34215963,0.33348846,0.3293078,0.32921278,0.33236524,0.3369669,0.34096208,0.34235287,0.3391079,0.3301445,0.3163779,0.30121538,0.28993452,0.28602037,0.28972015,0.2967368,0.30363107,0.30995715,0.318585,0.3301599,0.3409343,0.34585807,0.34305096,0.33588073,0.32861993,0.3232667,0.3182536,0.31211445,0.30573484,0.30263448,0.3045219,0.31097308,0.31925797,0.33001575,0.3439856,0.36117968,0.375715,0.38094127,0.37292397,0.3545244,0.33288836,0.31455612,0.30316973,0.29824218,0.2991712,0.30433276,0.31267655,0.32125053,0.32750347,0.3300359,0.3297272,0.3290803,0.32922885,0.32912672,0.3250225,0.3147181,0.299988,0.28725216,0.2832757,0.2906253,0.30641973,0.32497635,0.34221935,0.35558534,0.36389586,0.36537322,0.36060646,0.351388,0.34087148,0.33097568,0.32236883,0.31481823,0.30759883,0.3017037,0.29863667,0.29993567,0.3046318,0.31106576,0.3176548,0.3236057,0.3282751,0.3310403,0.33239782,0.33315542,0.33558652,0.3414272,0.35187915,0.3646742,0.37610754,0.3830596,0.38514313,0.38311192,0.3765532,0.3647093,0.34857035,0.3322214,0.32034862,0.3153797,0.3163322,0.32060948,0.32590666,0.3311315,0.3354766,0.3385524,0.34096944,0.34521624,0.35357416,0.36522946,0.37491012,0.376407,0.3671783,0.35124847,0.33590886,0.32774818,0.32828233,0.33554077,0.3454076,0.35540068,0.3638705,0.36992767,0.37109065,0.36517084,0.35141444,0.33282518,0.3139837,0.30025017,0.29484293,0.29898468,0.31008676,0.3244482,0.33904013,0.35341677,0.36745298,0.37894353,0.38487387,0.3834177,0.37643173,0.36640933,0.35510084,0.34220275,0.32867637,0.31760314,0.31380388,0.31845677,0.32887065,0.33886555,0.34606704,0.35033515,0.35352305,0.35354146,0.34733114,0.33317807,0.31441924,0.2982266,0.2904226,0.29296517,0.30194482,0.3136272,0.32540798,0.3380958,0.35174695,0.36530128,0.3763685,0.38287118,0.38507232,0.3849362,0.38476205,0.38355187,0.37755883,0.36418816,0.34694657,0.33487368,0.3360993,0.3514738,0.3739995,0.39475,0.40770552,0.4128054,0.41315755,0.41424802,0.41858438,0.42537487,0.42902926,0.42511368,0.41278937,0.3975942,0.3865964,0.3843297,0.3878597,0.3907381,0.38756442,0.37972927,0.3721287,0.37069264,0.37716985,0.38978648,0.4021461,0.40789458,0.4040819,0.3939382,0.3848959,0.38298512,0.391076,0.40609244,0.42268705,0.433015,0.4320254,0.41824627,0.39552507,0.3692776,0.34400257,0.3219428,0.30433187,0.29233,0.28695092,0.2883906,0.29538965,0.30504802,0.31405875,0.32022607,0.32326508,0.3231585,0.31858775,0.30774644,0.2907122,0.27226245,0.25900766,0.25665763,0.26425326,0.27727735,0.2893813,0.29886782,0.3056318,0.3098596,0.30855814,0.29898217,0.28119087,0.25927493,0.23987485,0.22923855,0.23061138,0.24250346,0.2605404,0.28207797,0.30690134,0.33532012,0.36246696,0.3816162,0.38711,0.38071474,0.3674562,0.3527663,0.33777365,0.32252324,0.308028,0.29822913,0.29540202,0.29963547,0.30735746,0.3170431,0.3267553,0.33521202,0.33764294,0.33012947,0.31139994,0.28573033,0.26084343,0.24348663,0.23687708,0.23919666,0.24799252,0.26066366,0.27575788,0.29057583,0.3022451,0.30946293,0.31249905,0.31345376,0.3127993,0.30970892,0.3008661,0.2842988,0.26234654,0.24259846,0.23408304,0.24068697,0.25975692,0.2843045,0.3085476,0.3281503,0.3405151,0.34336075,0.3369702,0.3227264,0.30316994,0.28061387,0.25878617,0.24165909,0.232702,0.23296945,0.24136542,0.25423396,0.26760435,0.2788845,0.2887754,0.29807422,0.3062276,0.30969235,0.30600643,0.2941984,0.27764174,0.26193017,0.25396147,0.25732955,0.27034333,0.2880713,0.3048797,0.3177041,0.32335103,0.3199568,0.30627468,0.28528324,0.262002,0.24275988,0.23120241,0.22843291,0.23272587,0.24200301,0.25450402,0.2686881,0.28242508,0.2933304,0.30078867,0.30568147,0.30893695,0.30826187,0.30057064,0.28427267,0.26439452,0.24857159,0.24445648,0.25218147,0.26719084,0.28230512,0.29453468,0.30347812,0.30915603,0.30918446,0.30073908,0.2838916,0.26219207,0.24209706,0.22965966,0.22872536,0.2382927,0.25420323,0.27207026,0.28962377,0.30606702,0.31907654,0.32631984,0.3262111,0.3210067,0.31331363,0.30424526,0.29182363,0.27469316,0.25621372,0.2438162,0.24368513,0.25581205,0.27469555,0.2950574,0.31361362,0.32834432,0.33534262,0.33072844,0.3138449,0.28893787,0.26401213,0.2457487,0.23757602,0.238385,0.24628584,0.2592261,0.27506882,0.29065362,0.3024571,0.3092502,0.3114998,0.31150952,0.31051555,0.30784485,0.3005892,0.28553817,0.26450238,0.24407883,0.23432799,0.2395462,0.25787595,0.2815806,0.30491957,0.3239708,0.33699822,0.34165278,0.33693826,0.3238269,0.30484834,0.28349173,0.26260886,0.24577677,0.2353578,0.2337764,0.24061124,0.25331235,0.26709294,0.27880025,0.28837612,0.29705116,0.30481908,0.3090032,0.30707428,0.29754546,0.28221557,0.26582828,0.25529894,0.25573495,0.26681647,0.28421426,0.30190757,0.31626943,0.32365236,0.3220562,0.30971894,0.28931463,0.2651566,0.24403822,0.23009819,0.22590584,0.22987969,0.23990496,0.2531127,0.26773855,0.2815579,0.2925861,0.30025488,0.30541274,0.3090125,0.30874553,0.3013784,0.28505978,0.26480767,0.24852681,0.24400146,0.25126222,0.265744,0.2806636,0.29346868,0.3037248,0.3108449,0.31186283,0.30365562,0.2865232,0.2643229,0.24372618,0.23071003,0.22888772,0.2372665,0.25180206,0.26851925,0.28551543,0.3024229,0.31701112,0.32641074,0.32798874,0.32295248,0.3139541,0.30341026,0.2909223,0.2754437,0.25877127,0.24662705,0.24491616,0.25507015,0.2729058,0.29323232,0.31211248,0.32716343,0.33460847,0.3306133,0.31446195,0.29046783,0.26672855,0.24941166,0.2411203,0.24020572,0.24548264,0.25610614,0.27110553,0.28739354,0.30092204,0.3093501,0.31245622,0.31220028,0.31042203,0.3072994,0.3004206,0.28635493,0.26588812,0.24528022,0.23456377,0.23892997,0.25676912,0.28037205,0.30357158,0.32248425,0.33558,0.3406531,0.33645305,0.32375693,0.30524266,0.28448352,0.26441088,0.24802335,0.23766297,0.23538941,0.24138026,0.25322962,0.2665927,0.27791408,0.28706813,0.29540113,0.30341205,0.3083851,0.30758068,0.29909053,0.28466323,0.2684022,0.25694647,0.25538468,0.26452345,0.2808526,0.2987932,0.31440902,0.3237965,0.32435414,0.31343633,0.2928135,0.2670258,0.24406005,0.22927101,0.22520535,0.22943658,0.23916888,0.25169694,0.26579905,0.27969125,0.29114917,0.29936716,0.3047934,0.30883202,0.30929664,0.30308867,0.28771096,0.26773813,0.25082365,0.24483173,0.250303,0.26327324,0.27762127,0.2907773,0.30208352,0.31067,0.31324098,0.30626604,0.28936687,0.2667587,0.24541666,0.2321892,0.23013832,0.23799305,0.2508171,0.26508057,0.2799317,0.29643357,0.31283236,0.32485172,0.32877243,0.32488513,0.31679997,0.3066789,0.29446855,0.27850795,0.26122853,0.24803926,0.24506743,0.25357738,0.27012515,0.28963295,0.3082174,0.32312527,0.3311831,0.32905045,0.31609178,0.29509553,0.27252766,0.25394365,0.24302407,0.2397759,0.24380982,0.25419503,0.26956186,0.2865137,0.3010256,0.31013238,0.31356463,0.3127165,0.31022033,0.30647647,0.29998732,0.2869439,0.26767132,0.24734591,0.23568334,0.23830128,0.25453413,0.27736437,0.30062327,0.32019877,0.33417615,0.34010145,0.3363644,0.3238422,0.30545887,0.28516304,0.26581374,0.25014672,0.24016641,0.23762582,0.24287176,0.25381386,0.2666391,0.27753934,0.28615662,0.29381433,0.30157435,0.30701482,0.3069248,0.2990311,0.28470615,0.26836815,0.25638962,0.25420395,0.26292503,0.2796786,0.29867116,0.3151827,0.32469973,0.32472047,0.31352723,0.29343343,0.26902354,0.24725683,0.23278289,0.22751789,0.2297775,0.23744105,0.24902223,0.2632697,0.27818134,0.29059896,0.299443,0.30516884,0.3094859,0.31038296,0.30454183,0.28935364,0.26782218,0.24454379,0.22171158,0.1974565,0.17153649,0.14913534,0.13780387,0.13847448,0.14317112,0.13895117,0.11957107,0.08772117,0.053977538,0.02706827,0.010870843,0.00330301,0.00072116667,8.8890025E-05,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]