[0.080335036,0.09422442,0.11986202,0.14282084,0.1532801,0.15183039,0.14432718,0.13660914,0.13059308,0.12585305,0.12127217,0.116622984,0.11241033,0.10954308,0.10861844,0.10969559,0.1120705,0.114662975,0.11644852,0.11703137,0.11671862,0.11635012,0.11692035,0.11878192,0.12113416,0.12190353,0.11934232,0.1131855,0.10534603,0.09853425,0.0950767,0.095519096,0.09854666,0.10151098,0.10225505,0.10034289,0.09711789,0.09414568,0.09200362,0.09009195,0.087582774,0.08418921,0.08036952,0.07693852,0.07472541,0.07455352,0.07701682,0.08209593,0.08851859,0.09436578,0.09804633,0.09941887,0.09948867,0.09978605,0.10146176,0.1047132,0.108378984,0.11033809,0.10889268,0.104400806,0.09980748,0.0997087,0.107325606,0.12237734,0.14012523,0.15485023,0.16270597,0.1638348,0.16035582,0.15476139,0.14866656,0.14296977,0.1378244,0.13275915,0.12724675,0.12149793,0.11660681,0.11398602,0.11421698,0.11673862,0.12004083,0.122673385,0.12362123,0.12268677,0.12030985,0.11755308,0.11540985,0.11426265,0.11364606,0.11277229,0.11153075,0.11079163,0.1125511,0.11781919,0.12589858,0.13326661,0.13680176,0.13488464,0.12901033,0.121207885,0.113357276,0.10618615,0.100327455,0.09639704,0.0948438,0.095344275,0.096874,0.0985577,0.10065933,0.103947856,0.10859493,0.11267835,0.11377732,0.11019177,0.10296742,0.09471562,0.088950366,0.08784956,0.09156224,0.09757039,0.10241262,0.10362958,0.101489596,0.09872105,0.09890593,0.10418308,0.11375994,0.12434608,0.13251364,0.13678506,0.13807191,0.13798964,0.13741411,0.13597839,0.13299894,0.12845524,0.12333297,0.119218536,0.11762252,0.11987511,0.12673248,0.13788359,0.15110543,0.16301912,0.17060731,0.17283928,0.17056626,0.16549908,0.15915884,0.15256272,0.14630221,0.14072995,0.13596176,0.13220827,0.12993938,0.1302797,0.13401483,0.14075609,0.14806901,0.15324132,0.15466012,0.15286672,0.1488706,0.14334798,0.13624561,0.12801103,0.11974909,0.11297304,0.10865325,0.10686853,0.10708007,0.108591884,0.11098788,0.11375926,0.116256624,0.117693804,0.11782322,0.117079854,0.116300344,0.11600357,0.11605168,0.11581475,0.114725195,0.112618186,0.11005691,0.108207606,0.10881295,0.11300818,0.12063897,0.12953015,0.13699545,0.14098006,0.14127417,0.13885222,0.13502212,0.1306279,0.1256455,0.11977139,0.11274079,0.10530452,0.09870377,0.09438213,0.09271469,0.09316072,0.09439268,0.09543371,0.09581091,0.09553623,0.09440982,0.09193018,0.08768877,0.08189505,0.075462066,0.069298916,0.06384172,0.05896917,0.05462146,0.051035155,0.048649173,0.047661547,0.047960337,0.04920921,0.05108689,0.053272396,0.055512577,0.05755289,0.059161752,0.059993457,0.05965643,0.05824798,0.05691159,0.05815703,0.06444475,0.07729986,0.09638575,0.12107688,0.1502232,0.1821028,0.21305084,0.2389826,0.25730523,0.26788315,0.27116036,0.26536158,0.24655174,0.21254332,0.1686014,0.12937635,0.11383466,0.13405024,0.18668051,0.25210628,0.3065109,0.3339421,0.3349029,0.32036373,0.30450106,0.2966056,0.30102876,0.31697127,0.3398093,0.36222127,0.37723398,0.3815603,0.37641892,0.36572433,0.35171652,0.33202755,0.30131164,0.2574516,0.20860744,0.17290594,0.17117096,0.2134875,0.29219994,0.38338664,0.460925,0.5079344,0.5217911,0.5075388,0.4736344,0.42958406,0.38603377,0.34923527,0.31723046,0.28264362,0.24207105,0.20246054,0.1762745,0.17202467,0.18679361,0.2095954,0.2280534,0.2351135,0.22974409,0.21526037,0.19693907,0.18068004,0.17194055,0.17432286,0.1882065,0.21065174,0.23653854,0.26135433,0.28270876,0.30101845,0.31726256,0.33192387,0.3438456,0.35208955,0.35635257,0.35804018,0.35841253,0.35816184,0.3565555,0.35334548,0.3496004,0.34748793,0.34811866,0.34991273,0.3498166,0.3453385,0.33639765,0.3241229,0.3093159,0.2913306,0.2692004,0.24378812,0.21935467,0.20207202,0.1965329,0.20219481,0.21471548,0.2291068,0.24363942,0.25893685,0.2757442,0.29226086,0.30422089,0.30702928,0.29780352,0.27713633,0.24853282,0.21790802,0.19124162,0.17257863,0.16207403,0.15678675,0.15374595,0.15282361,0.15721732,0.16980796,0.19006921,0.2128302,0.23223297,0.24499142,0.25201324,0.25541633,0.25653902,0.25568283,0.25401914,0.2526176,0.24981439,0.23995729,0.21923159,0.19229925,0.17339323,0.17576419,0.2009654,0.23644179,0.2657483,0.27951655,0.2788353,0.2701812,0.25895247,0.24815452,0.23931052,0.23424299,0.23343046,0.23644732,0.2424221,0.25237662,0.26770785,0.28843188,0.3112036,0.3313347,0.3452078,0.35178792,0.35224667,0.34782612,0.3403497,0.33114532,0.3238332,0.32109192,0.32449254,0.3299065,0.33148918,0.32385167,0.30715004,0.28530815,0.26404893,0.24746506,0.23678994,0.2303227,0.22451122,0.21612416,0.20433079,0.19159353,0.18176584,0.17647706,0.17299934,0.16728054,0.15876614,0.15220964,0.15272814,0.16047245,0.17000759,0.17469336,0.17093988,0.1588854,0.14190109,0.12516066,0.11385753,0.10975025,0.1098365,0.10908115,0.10617065,0.10712173,0.12222602,0.15805078,0.2102427,0.26427218,0.30350485,0.31859818,0.311227,0.2907606,0.26784375,0.249044,0.23560299,0.22554141,0.21710956,0.21091922,0.20970947,0.21674736,0.2327873,0.25463983,0.27531803,0.28849506,0.29135427,0.2856118,0.27397862,0.2581867,0.23834981,0.21464376,0.18799269,0.16041689,0.13482158,0.11542046,0.10707191,0.113758184,0.13503478,0.1643414,0.18993635,0.20086324,0.19225295,0.16884463,0.1419237,0.12444552,0.1231563,0.13631469,0.15525037,0.17274743,0.18630378,0.19808912,0.20964353,0.22242399,0.2370286,0.2533358,0.26566026,0.2648094,0.2439277,0.20732053,0.17156594,0.15616511,0.17169915,0.21194611,0.26093873,0.3024344,0.32886913,0.33966863,0.33891463,0.3324841,0.32677725,0.32622352,0.33067977,0.3364558,0.33867928,0.33495787,0.32570276,0.3138498,0.3030149,0.2968692,0.29815838,0.3078282,0.3241489,0.34413067,0.3664166,0.39315125,0.42686558,0.46655354,0.5058716,0.53740907,0.5549965,0.55472416,0.5332742,0.49131772,0.43621346,0.38113,0.33768797,0.3103229,0.29754254,0.29734522,0.30903372,0.32925114,0.34887317,0.3568181,0.34787607,0.32621393,0.30164564,0.2831826,0.27581504,0.27991658,0.29122218,0.30200124,0.305007,0.2982588,0.28540418,0.27195135,0.26093483,0.25297615,0.24766086,0.24555887,0.24658333,0.24970734,0.2519352,0.25054857,0.2435085,0.22968377,0.20770906,0.17762981,0.14378904,0.11627402,0.107447915,0.12486396,0.16620378,0.21910034,0.26774383,0.29934826,0.30975422,0.30301058,0.28960982,0.27981794,0.27877727,0.28245565,0.28224143,0.27093694,0.25073302,0.23307562,0.23429315,0.26339483,0.31416094,0.36532748,0.3953953,0.39678583,0.3807155,0.36483872,0.36062455,0.36704144,0.37790403,0.38724828,0.39183292,0.38640618,0.36662295,0.33275697,0.29597068,0.27003714,0.2639253,0.272614,0.28369233,0.2829564,0.26362702,0.22710639,0.1829383,0.14349194,0.11802724,0.10832479,0.10900128,0.11282855,0.11641803,0.12345912,0.14141394,0.17467557,0.2185423,0.26058704,0.2872713,0.2908366,0.27161816,0.23721457,0.19926725,0.16881652,0.15056151,0.1415085,0.13462734,0.12633242,0.120108865,0.12523095,0.14984988,0.19481598,0.2510647,0.30439165,0.34299782,0.36366573,0.3708813,0.37124458,0.36734828,0.3575141,0.34045482,0.31959346,0.30145815,0.29031017,0.28560695,0.2842534,0.2847264,0.28772423,0.29502663,0.30669308,0.32035753,0.33079943,0.33433175,0.3314065,0.3281448,0.32953432,0.33515108,0.33703694,0.3264457,0.30085054,0.2685677,0.24450059,0.23991776,0.2544583,0.27794263,0.29940644,0.3135712,0.31948486,0.3161701,0.3018515,0.2766631,0.24495699,0.21310706,0.18602027,0.16467144,0.14824243,0.1371169,0.1338494,0.14003338,0.15318686,0.16732626,0.176687,0.17914218,0.1762674,0.17168026,0.1686715,0.16894637,0.1715012,0.17293185,0.16903348,0.1585362,0.14580089,0.13910778,0.14411414,0.15760158,0.16878541,0.16713087,0.15110509,0.12973566,0.11650298,0.12031285,0.13953285,0.16431527,0.18299781,0.18955566,0.18487245,0.1744635,0.16355932,0.15464853,0.14750683,0.14105706,0.13479166,0.12872069,0.122933894,0.11727297,0.111488104,0.105404206,0.099118955,0.093456864,0.0899354,0.09033614,0.09505435,0.102153845,0.10731485,0.10657364,0.09865624,0.08634611,0.07417048,0.06602487,0.06311559,0.064579114,0.06849064,0.073144995,0.07746809,0.08105355,0.083961375,0.08640489,0.08842751,0.08955117,0.0893448,0.08928177,0.09492614,0.11435745,0.1523911,0.20404129,0.25636244,0.29671478,0.32170698,0.3354497,0.34339178,0.3463311,0.34294748,0.3329928,0.3199854,0.30907097,0.30465797,0.30759326,0.3141788,0.31933364,0.32165247,0.32895994,0.35149464,0.39165533,0.43393132,0.45613548,0.44522285,0.40947488,0.36916056,0.34301868,0.3384067,0.3530878,0.3797665,0.41065106,0.4395785,0.46227333,0.47553444,0.47701016,0.4664133,0.4462022,0.42019686,0.39264426,0.3678504,0.3538377,0.3602828,0.39650306,0.4583533,0.5281655,0.5766115,0.58607477,0.5577059,0.51306206,0.47357535,0.45092463,0.44394696,0.44634286,0.4522815,0.4575127,0.45973578,0.4575325,0.45088843,0.44042513,0.42708147,0.4122491,0.3977164,0.3854874,0.3768914,0.37262702,0.3736353,0.3806559,0.39355966,0.4089711,0.42181873,0.42562428,0.41738534,0.39862108,0.37904498,0.36962163,0.3772187,0.39635035,0.41627297,0.42619637,0.4253395,0.41957346,0.4224473,0.4426647,0.48050675,0.51980305,0.5430946,0.53892875,0.5128094,0.4769911,0.4466392,0.43008173,0.42921337,0.43751967,0.4465165,0.44961318,0.44655204,0.4410424,0.4382364,0.44116068,0.4493868,0.46001253,0.4691757,0.47603133,0.48305288,0.4963735,0.5177133,0.54069114,0.5500111,0.5357139,0.5017491,0.4665363,0.44697094,0.4480746,0.4607005,0.47180113,0.4719214,0.46065962,0.44324288,0.42698094,0.41586804,0.41125938,0.41297925,0.4206973,0.43283144,0.44592753,0.45571122,0.4583434,0.45113787,0.43387035,0.4093201,0.38408378,0.36418375,0.35346088,0.35068524,0.35410762,0.3613504,0.3726758,0.3864751,0.4017457,0.41543424,0.4279364,0.43965778,0.45369104,0.47186342,0.49533606,0.5196027,0.5349333,0.5320025,0.51038617,0.47926494,0.45008573,0.4292355,0.41852975,0.41750082,0.42461446,0.4361463,0.4480501,0.45854318,0.46821472,0.47733843,0.4835488,0.48300505,0.4731895,0.45484778,0.4321988,0.41325095,0.4083817,0.42610738,0.46302643,0.50278085,0.5228455,0.51431006,0.48559317,0.45676956,0.44076443,0.43810043,0.43966413,0.43635604,0.42532086,0.4095167,0.39477292,0.38420197,0.37750134,0.3719306,0.36543658,0.3575858,0.34910175,0.34092054,0.3339599,0.32926667,0.32764915,0.3285167,0.32982674,0.32923034,0.3260801,0.32126984,0.3165796,0.31341067,0.31426033,0.32148933,0.33666888,0.3568476,0.37714323,0.393168,0.40674362,0.42422593,0.4517974,0.48663726,0.51664716,0.528035,0.51832455,0.49717507,0.47947386,0.47242773,0.47589123,0.48440942,0.49479714,0.5044601,0.5125757,0.51694155,0.5158045,0.50727856,0.49150208,0.4701282,0.44603184,0.42182335,0.39936396,0.3801609,0.36590254,0.358963,0.36138105,0.3735139,0.39244327,0.41277257,0.4283732,0.43481067,0.42959547,0.41292143,0.38756192,0.35932812,0.33424369,0.31617483,0.30491307,0.29833034,0.29378974,0.28993568,0.2856345,0.2807847,0.2755851,0.27129772,0.2684625,0.26683584,0.2654406,0.2649224,0.26706994,0.2729243,0.27976704,0.28339005,0.28081873,0.27274427,0.26120168,0.24963415,0.24243575,0.24486339,0.25828752,0.27814463,0.29495105,0.30068704,0.2945409,0.2839099,0.27979243,0.28718945,0.30242902,0.3160067,0.32182896,0.31920603,0.31128716,0.3004947,0.28817606,0.2750229,0.26233128,0.25203565,0.24674706,0.24839462,0.2576159,0.27307448,0.29308423,0.31502476,0.3366095,0.35500935,0.36911884,0.37875065,0.38455352,0.386209,0.3827331,0.37390673,0.36117938,0.34764636,0.336556,0.33162472,0.33665368,0.35412183,0.38150504,0.4114431,0.4360108,0.45265058,0.46427765,0.47489056,0.48500505,0.49185064,0.4925846,0.48672578,0.47590482,0.4622911,0.4486208,0.43941185,0.44005468,0.4529246,0.47329208,0.49145174,0.49871662,0.4937377,0.4828981,0.4763297,0.48169804,0.49948773,0.5230353,0.5428298,0.5533602,0.55605555,0.5578172,0.56374574,0.5729926,0.5786066,0.57513326,0.56265515,0.5465875,0.53240633,0.5230369,0.51991606,0.52332836,0.5328369,0.5455429,0.55833393,0.56863445,0.5760158,0.58099174,0.5842223,0.58586735,0.58512855,0.5814055,0.57527924,0.5703837,0.57193017,0.58309746,0.60024494,0.61334795,0.6121143,0.5941937,0.56690884,0.5419297,0.5274605,0.5239988,0.5260617,0.526025,0.5201407,0.5091948,0.49748424,0.48793674,0.48251387,0.48261657,0.48972917,0.502286,0.5149455,0.52170116,0.52059776,0.51576716,0.51366323,0.5186278,0.5295057,0.54202986,0.5520312,0.5585452,0.5629563,0.56725025,0.5726635,0.57930994,0.58612895,0.5903223,0.5886728,0.58074284,0.57112247,0.56892776,0.5802706,0.60376126,0.62730974,0.6378882,0.62828445,0.60413694,0.576446,0.55559856,0.5444861,0.54209226,0.54563427,0.5535932,0.5639289,0.574347,0.5822167,0.58579963,0.584259,0.5781412,0.5695317,0.56177485,0.55760723,0.55881006,0.5666461,0.5838415,0.609572,0.63665384,0.6496177,0.6378574,0.60275453,0.5610346,0.53062826,0.52057797,0.5257268,0.5340218,0.5362341,0.53125733,0.524209,0.5197747,0.5195008,0.5222189,0.52666855,0.5311882,0.5342477,0.5348239,0.533773,0.53297704,0.53381014,0.53669673,0.5404733,0.54396725,0.54521006,0.54350406,0.5381126,0.52952975,0.51886564,0.50869936,0.50236374,0.501978,0.5085029,0.52026623,0.5348654,0.54886895,0.56194806,0.5743668,0.58513266,0.5877192,0.57707316,0.55410475,0.52796996,0.50701994,0.49473476,0.4888288,0.4866654,0.48677006,0.489202,0.49391475,0.5011055,0.51138896,0.52622324,0.54594994,0.5683065,0.58765984,0.5983558,0.5985992,0.59298015,0.58987933,0.59469867,0.60455245,0.60896903,0.5991126,0.5754242,0.54853207,0.5303791,0.5269559,0.53421307,0.5435718,0.5464925,0.5422893,0.5353069,0.5323437,0.53529555,0.5428519,0.55185103,0.56013376,0.5659096,0.5679038,0.56616575,0.5623009,0.5589177,0.55794734,0.55976534,0.5625928,0.56371003,0.5607081,0.5533542,0.54325277,0.5337939,0.52818257,0.5292783,0.5382368,0.55495876,0.5769022,0.5987782,0.61415654,0.61889005,0.614402,0.605074,0.5950787,0.5854853,0.5767154,0.5695734,0.56654286,0.57010204,0.5804433,0.5930817,0.599324,0.5929096,0.5740629,0.5504121,0.5301752,0.51835203,0.51527375,0.5180528,0.5228463,0.524764,0.5213602,0.51278776,0.5060101,0.5094888,0.5295494,0.56061167,0.5898226,0.6032844,0.59868485,0.5834332,0.5692311,0.5620555,0.5611949,0.56215763,0.56151336,0.55832416,0.5521569,0.54280233,0.5304726,0.51851577,0.5100875,0.5067578,0.5053914,0.50267845,0.49585107,0.48605883,0.47792658,0.47996446,0.49897155,0.53202325,0.5651041,0.5803465,0.57014936,0.5409278,0.5100569,0.49277118,0.49689803,0.51946133,0.5538115,0.5903438,0.6212492,0.6399496,0.64680654,0.6454687,0.6395957,0.628094,0.61030704,0.5892727,0.5713457,0.5602188,0.5555418,0.55467814,0.5560849,0.55904245,0.56276983,0.5654314,0.5654318,0.56233525,0.55749255,0.55250233,0.5480061,0.54297096,0.53592193,0.5279972,0.52402544,0.5318025,0.5530416,0.58096987,0.60031104,0.6026997,0.5900059,0.57467866,0.5652972,0.5637943,0.5653272,0.56530446,0.56149036,0.5543638,0.5458846,0.5380047,0.5316632,0.5269713,0.52341604,0.5210194,0.5189872,0.51588243,0.5095512,0.4997959,0.49044287,0.48689935,0.4925842,0.5036246,0.51311576,0.5138796,0.5041733,0.48578128,0.46499977,0.4499886,0.44772813,0.45972994,0.48210657,0.5094534,0.5374064,0.56306475,0.58524585,0.604096,0.6187512,0.6240557,0.6143429,0.58937377,0.5576933,0.5298316,0.5123256,0.50476223,0.5038137,0.50509596,0.5056278,0.50338334,0.498831,0.49374858,0.4908508,0.49126926,0.4942495,0.49755764,0.49953127,0.50094455,0.50489396,0.51669014,0.53801185,0.5638686,0.5804691,0.5766723,0.551933,0.51903516,0.49236873,0.47921494,0.47695336,0.47854796,0.47719756,0.4702249,0.4591076,0.44823775,0.4409496,0.4380604,0.43874052,0.44201747,0.44763598,0.45407298,0.45965746,0.4625616,0.46352434,0.4640436,0.4660119,0.46957466,0.47431496,0.47914982,0.4834695,0.4870772,0.49198404,0.50134987,0.51807946,0.54112124,0.5669213,0.59117275,0.6120341,0.6291794,0.6437593,0.6559575,0.6637724,0.6614668,0.6452348,0.61714274,0.58643097,0.56083804,0.5427549,0.5295866,0.5203431,0.51625365,0.51836115,0.5245262,0.53076744,0.5345537,0.5360288,0.53778714,0.5420232,0.5497303,0.5587528,0.56594926,0.5682805,0.56748295,0.5682681,0.57670546,0.59160143,0.60661525,0.6122548,0.6073559,0.5967148,0.5893449,0.58818096,0.5913462,0.5927209,0.58848596,0.5775879,0.5625996,0.54676706,0.532911,0.52233434,0.51522607,0.51138043,0.5100927,0.5104913,0.5110457,0.51051927,0.50848913,0.50577193,0.5037827,0.5032313,0.5040017,0.50507164,0.5053343,0.5034475,0.49883804,0.4920576,0.4869255,0.48947087,0.50672024,0.53766495,0.5725832,0.5964484,0.60538226,0.6068619,0.61194617,0.6201484,0.6236395,0.61759764,0.6071388,0.60160536,0.6044271,0.6112304,0.6115134,0.59896797,0.5733448,0.5430858,0.51622546,0.49938437,0.49354896,0.4991401,0.5134302,0.53307873,0.5509669,0.56181955,0.5639634,0.5633642,0.565264,0.56916946,0.56575704,0.5489649,0.52102095,0.49392644,0.47760376,0.47632095,0.48610854,0.50100446,0.5151691,0.5268457,0.5357768,0.54260206,0.5452853,0.54248357,0.5329763,0.51924443,0.5036301,0.49006107,0.4799832,0.47517654,0.47444543,0.47684565,0.47885266,0.47882044,0.4748759,0.4684007,0.45973444,0.45085707,0.44372532,0.44275594,0.45118937,0.46881533,0.49171054,0.5130778,0.5261988,0.5241044,0.50563574,0.47615466,0.44745982,0.42751756,0.41780058,0.4134419,0.41074297,0.40806732,0.40544006,0.402149,0.39774093,0.3925904,0.3877269,0.3833106,0.37892875,0.37418234,0.36967447,0.36588278,0.3627431,0.36003613,0.35815415,0.3582101,0.36056852,0.3643986,0.36771008,0.3686911,0.36669627,0.3623401,0.35694835,0.35162595,0.34733042,0.34494814,0.34500957,0.34691083,0.3489184,0.34916976,0.34693944,0.34268042,0.33766153,0.33301935,0.3295295,0.32716882,0.32528055,0.3229029,0.31948647,0.31529018,0.3113236,0.3082835,0.3062621,0.30438876,0.30231375,0.30002832,0.29851592,0.2983072,0.29963377,0.30142474,0.30210307,0.29988596,0.29426238,0.28600952,0.27720734,0.2699807,0.26697037,0.270316,0.2813536,0.2979919,0.3157766,0.32963774,0.3376061,0.34048387,0.3403579,0.33836296,0.3353174,0.3322229,0.33065006,0.33110404,0.3329874,0.3347762,0.33555445,0.33482695,0.33270994,0.32973287,0.3272575,0.32668963,0.32835916,0.33097884,0.3324038,0.33089867,0.32575738,0.3175489,0.3080126,0.2995678,0.29401675,0.29148257,0.2905219,0.2895566,0.28779963,0.28512374,0.28117165,0.27544716,0.26803374,0.2599886,0.25268015,0.24692172,0.24299805,0.24110298,0.2413388,0.2430972,0.24486403,0.24514098,0.24322408,0.23946105,0.23433338,0.22849053,0.22257888,0.21741988,0.21335284,0.21067625,0.21055365,0.21464686,0.2230022,0.23204333,0.23717731,0.23764001,0.23950058,0.251282,0.27682105,0.31071424,0.3424087,0.36317065,0.37179902,0.37268713,0.37176618,0.37189254,0.3731041,0.37382463,0.37332165,0.37166905,0.36979413,0.36833182,0.36798963,0.36900392,0.37173808,0.37593424,0.38131526,0.3869964,0.3923243,0.39645883,0.39931723,0.40091535,0.40161029,0.40110216,0.39932087,0.39671206,0.3947961,0.3948569,0.3970864,0.4000992,0.40206417,0.40147594,0.3984222,0.39401498,0.38983622,0.38596258,0.38125297,0.37429547,0.36528262,0.35588515,0.34792498,0.34196284,0.33706298,0.33177897,0.32516018,0.3173842,0.30931613,0.30201185,0.29592052,0.29106274,0.2871002,0.2840042,0.28213644,0.28190097,0.28306174,0.2841483,0.28340197,0.27974424,0.27392587,0.2678268,0.2635509,0.26214084,0.26331055,0.2656895,0.26755616,0.26750204,0.2648172,0.25956264,0.25234318,0.2439905,0.23528798,0.22685605,0.21911056,0.21229021,0.20665203,0.20247753,0.20000184,0.19894327,0.19862856,0.19822605,0.19739318,0.19624849,0.19511563,0.19401443,0.19254194,0.19015443,0.18661,0.18227816,0.17796206,0.17444807,0.17206036,0.17070396,0.17019461,0.17054875,0.17171918,0.17340688,0.17514203,0.17706151,0.1799587,0.18487567,0.192361,0.20312417,0.21872817,0.24089275,0.26906037,0.29897094,0.32470384,0.342458,0.3527911,0.3595014,0.36648694,0.37550816,0.38515973,0.39250258,0.39467373,0.38993275,0.37607276,0.3488139,0.30497888,0.25092882,0.20907164,0.2114176,0.2744443,0.38142386,0.4838234,0.5397746,0.53871185,0.5073426,0.47658035,0.4623525,0.45990208,0.45992804,0.45742655,0.4527491,0.4476769,0.4427855,0.43873894,0.435869,0.43452168,0.43355528,0.43117356,0.42567918,0.4184941,0.4165285,0.43168116,0.47188434,0.53059167,0.58439326,0.60819,0.59317917,0.5530756,0.511059,0.4840251,0.47418234,0.47377992,0.47173205,0.46236703,0.44578847,0.42753044,0.41263708,0.4060677,0.4115734,0.43144467,0.46253243,0.49642336,0.5236482,0.54015523,0.54859066,0.5552049,0.56347936,0.5722073,0.5760221,0.5703723,0.55285954,0.52483237,0.48969436,0.45583728,0.43305025,0.43117273,0.4506408,0.48632613,0.5259936,0.560455,0.5823354,0.59133476,0.58800197,0.57169724,0.5399663,0.4952433,0.44801596,0.4113202,0.39143422,0.38568017,0.3863941,0.3881484,0.38846555,0.38787463,0.38686693,0.38648358,0.3869582,0.3884333,0.3893893,0.38857707,0.38552997,0.38356915,0.38862982,0.40835533,0.445614,0.4934074,0.53373224,0.54755205,0.528635,0.4888041,0.44951606,0.4270686,0.4240751,0.43245304,0.44072214,0.44289672,0.43833277,0.4305862,0.42137587,0.41193727,0.40318334,0.39722022,0.39449915,0.39298797,0.38961112,0.3828549,0.37370178,0.3644115,0.35709015,0.35300252,0.35237446,0.35435775,0.35667333,0.35619262,0.35124525,0.34490803,0.34433016,0.35661992,0.38252386,0.4177178,0.45478973,0.48923683,0.5182173,0.5420928,0.55969614,0.5678355,0.5614305,0.5400915,0.5112192,0.48583758,0.47124848,0.4671677,0.46981955,0.47524294,0.4812611,0.4856752,0.48706368,0.48468852,0.47924116,0.47156358,0.46257746,0.45291755,0.44334856,0.43450323,0.42907,0.4324876,0.45336843,0.49343905,0.54287386,0.5789453,0.5851974,0.56123704,0.52547014,0.4967471,0.48404863,0.48249412,0.48220202,0.4751773,0.46065652,0.44329157,0.4293603,0.42195615,0.4216126,0.42769954,0.43934587,0.45338833,0.46433386,0.46715465,0.4606447,0.44810355,0.43416145,0.42196453,0.41180977,0.40323803,0.3953564,0.38744536,0.37822652,0.3697947,0.3682388,0.38192,0.41226354,0.45168242,0.48532772,0.5043579,0.50920886,0.5120611,0.51990104,0.5315089,0.5325742,0.5157612,0.4836491,0.4536972,0.4427341,0.4620894,0.5070003,0.55830216,0.5888031,0.5825305,0.5452444,0.49945936,0.46577153,0.4503852,0.44739464,0.44820118,0.44865122,0.44770896,0.44532928,0.4427841,0.44628176,0.46370256,0.49526644,0.526144,0.53630203,0.51588434,0.4742255,0.42961767,0.3983868,0.38596332,0.38876054,0.39449,0.3913881,0.3740032,0.3484061,0.32521462,0.31317315,0.31483242,0.32738018,0.3442485,0.35648933,0.35664725,0.3433312,0.32414964,0.3120112,0.3164833,0.33617088,0.35951886,0.37336436,0.3722147,0.36127797,0.35313332,0.3610048,0.39103243,0.43841934,0.48901725,0.5285879,0.54857445,0.5506738,0.5442097,0.5432733,0.55574685,0.57579106,0.58646697,0.5748263,0.5438661,0.5092692,0.48658714,0.4815229,0.4895165,0.5015848,0.50978786,0.5113047,0.5076131,0.5025618,0.49867722,0.49670482,0.4953859,0.4928943,0.4876109,0.48030683,0.47619084,0.48487368,0.51339656,0.55739564,0.59641975,0.60696363,0.57816905,0.52397627,0.46983647,0.43799627,0.43075904,0.43727303,0.44018647,0.4316239,0.41266784,0.3929814,0.37992147,0.3770539,0.38325378,0.3961148,0.4123595,0.42748794,0.43743086,0.4397669,0.43573987,0.42917442,0.42485917,0.4256538,0.43076608,0.43579987,0.43461338,0.4227557,0.40164486,0.38117886,0.37425813,0.38924697,0.42225322,0.46421948,0.5041479,0.5361996,0.5563059,0.56687975,0.57360786,0.58020467,0.58309865,0.57402873,0.5506091,0.51771575,0.48575723,0.46304348,0.45413148,0.45719263,0.46559384,0.4712824,0.4697645,0.46139202,0.44985497,0.43930638,0.432915,0.43099773,0.43094385,0.42898747,0.42549118,0.42757997,0.44664595,0.4861366,0.53445685,0.567207,0.5671272,0.5363097,0.49554977,0.4657123,0.45422903,0.4533511,0.44965097,0.43533805,0.41253194,0.3900373,0.37565324,0.3714513,0.37625453,0.3876431,0.4036583,0.4193926,0.42992416,0.43174112,0.42544794,0.4125851,0.39473212,0.37413824,0.35464022,0.3400499,0.33043382,0.3232729,0.3172641,0.3179305,0.33368793,0.370008,0.42136025,0.47673997,0.52393407,0.5581519,0.5791108,0.5931152,0.6046713,0.61437535,0.61331326,0.5953753,0.56317717,0.53136635,0.51149756,0.50522786,0.5038363,0.49923745,0.48934546,0.4774494,0.46704483,0.4589206,0.45286807,0.44989526,0.45244882,0.46092942,0.4722655,0.48103762,0.4857026,0.49088404,0.5071699,0.5388783,0.57753116,0.6004042,0.58998847,0.54681975,0.49269417,0.45219743,0.43915144,0.4501826,0.47323596,0.4939023,0.5044119,0.50257593,0.49231836,0.47722638,0.46173754,0.44997606,0.44630158,0.45148754,0.46116233,0.4685787,0.4690088,0.462791,0.4531716,0.44358453,0.43532452,0.42817155,0.4213816,0.41419372,0.40604246,0.3963318,0.3872515,0.3822737,0.38734627,0.4042333,0.4332906,0.46729484,0.49829903,0.5166567,0.52172405,0.5177204,0.5102192,0.49925828,0.48255828,0.4634799,0.45250773,0.46386304,0.50088626,0.5494091,0.5802041,0.5715556,0.5257351,0.4674721,0.4225354,0.40095124,0.39796475,0.40447178,0.4151343,0.42797574,0.44267717,0.45973065,0.48096034,0.5069218,0.5334549,0.5497765,0.5459377,0.5201245,0.48341727,0.450682,0.43391475,0.434032,0.44531217,0.45647374,0.46048775,0.455241,0.44561306,0.43613413,0.42929685,0.4248651,0.42186895,0.41944957,0.41637608,0.4136206,0.41293383,0.41654,0.4225582,0.42808524,0.42980266,0.4284861,0.4255403,0.4229361,0.42026436,0.41740713,0.4159793,0.41920826,0.43073228,0.4497662,0.4735391,0.49414858,0.5056216,0.50538117,0.50197226,0.50721264,0.52456,0.54319996,0.54639095,0.5298782,0.5032076,0.4834851,0.48053026,0.49538234,0.52112967,0.5486656,0.56948465,0.57889575,0.5761114,0.5640311,0.5462255,0.52631325,0.50597095,0.48691162,0.47131717,0.46439502,0.47203574,0.4987007,0.537986,0.5732874,0.5813124,0.55307263,0.49773738,0.44020224,0.4001316,0.38597128,0.39359185,0.41307136,0.43244532,0.44254008,0.44158754,0.4341117,0.42657876,0.42143568,0.41736695,0.4108713,0.40088865,0.38926676,0.38146973,0.38228306,0.39443755,0.41534626,0.4398879,0.4612166,0.4755338,0.48112333,0.47926328,0.47166634,0.4628314,0.45749024,0.4601461,0.46965325,0.48244372,0.49124435,0.4917816,0.48344514,0.4774061,0.48730883,0.51934695,0.55746883,0.5768533,0.5597789,0.51310295,0.45794144,0.41861662,0.40626144,0.4188695,0.44246694,0.46364287,0.47503832,0.47878984,0.47928166,0.47970796,0.4805467,0.4820896,0.48477122,0.4876182,0.4899436,0.49320325,0.5035545,0.5236292,0.54676294,0.55607074,0.5401764,0.50407934,0.46758756,0.44873157,0.45128572,0.4652199,0.4763906,0.47560084,0.46249032,0.44253322,0.42295578,0.40836254,0.40180764,0.40521598,0.4189694,0.43972528,0.46104813,0.47623417,0.4808427,0.47288945,0.45334187,0.42594942,0.39745507,0.3739921,0.35889181,0.35155556,0.3506472,0.35679603,0.372058,0.39682904,0.4271388,0.45751336,0.48466244,0.5089865,0.5317732,0.5539048,0.5747557,0.59182185,0.59817165,0.58750683,0.5595843,0.5238288,0.49199232,0.47118604,0.46177173,0.4607078,0.46507546,0.47294232,0.48415193,0.49904236,0.51713616,0.5348058,0.54701334,0.54941386,0.54173774,0.52663654,0.51008177,0.49912012,0.5026602,0.5235279,0.5561009,0.5827925,0.5895325,0.5726235,0.54582214,0.52470756,0.5193735,0.52558136,0.53382415,0.5340384,0.52448916,0.5092339,0.4957421,0.4880542,0.48603293,0.4862715,0.4853398,0.48146805,0.474739,0.46692458,0.46015024,0.45630458,0.45540318,0.45591486,0.45546857,0.45294496,0.44891134,0.44392967,0.4377676,0.42884457,0.41875854,0.41031826,0.40986666,0.4203837,0.44563434,0.48277187,0.52640766,0.5649511,0.58941275,0.59441805,0.5794964,0.5487091,0.50934464,0.47300985,0.44757974,0.43675077,0.4371136,0.44523668,0.45673046,0.4698582,0.48209798,0.49247798,0.49830708,0.49836624,0.49168277,0.48078513,0.46803167,0.45630231,0.44565317,0.43700293,0.4305484,0.429103,0.43394533,0.4465209,0.46394584,0.48308697,0.49868202,0.5089905,0.51220465,0.5102906,0.5041292,0.49771222,0.4926678,0.4918649,0.4945382,0.50074047,0.5077484,0.51382786,0.5159786,0.5138411,0.50817937,0.5021893,0.49814728,0.4973344,0.49845132,0.49977532,0.49922085,0.49607763,0.48981598,0.48095348,0.46982053,0.45754397,0.44523928,0.4345033,0.42609128,0.4193634,0.41237116,0.40345302,0.39327303,0.38488266,0.3830285,0.3907859,0.40779987,0.42836118,0.4451363,0.4526935,0.45134175,0.4447936,0.4372538,0.43034974,0.42374733,0.4158051,0.405098,0.39078048,0.37402,0.3576509,0.34590206,0.3416973,0.34566846,0.35486403,0.36531654,0.37329885,0.37790224,0.37941504,0.37906662,0.3768574,0.37273088,0.36644813,0.35851908,0.34951863,0.34014067,0.33280745,0.33089364,0.33769274,0.35138002,0.36703858,0.3788484,0.3857961,0.38971284,0.3931868,0.3957001,0.39471474,0.3873354,0.37367263,0.35716617,0.34346104,0.33764395,0.34322107,0.3604683,0.3855735,0.40949503,0.4234077,0.4237826,0.41771123,0.41776118,0.43389574,0.4650874,0.4996586,0.52509654,0.53557134,0.53651875,0.53784126,0.5512104,0.5799863,0.61658806,0.6414663,0.6398959,0.6139073,0.5822449,0.5631407,0.5611399,0.5694956,0.579254,0.5865224,0.59034616,0.59120566,0.5898363,0.58778006,0.5869934,0.58807373,0.59034324,0.59163326,0.5906446,0.5879764,0.58720034,0.5939254,0.6106265,0.6331386,0.6487265,0.64635897,0.6237588,0.5915933,0.56361836,0.5491727,0.5479674,0.55354446,0.5570035,0.5527389,0.5399394,0.52299005,0.5072492,0.49815962,0.49865603,0.508989,0.5243323,0.5378037,0.5439499,0.54237247,0.535898,0.52815986,0.52180696,0.51903486,0.52046424,0.52518195,0.5297547,0.5321862,0.5317369,0.5311303,0.53159285,0.53419447,0.53779966,0.5428787,0.54828364,0.5527692,0.55532855,0.5588515,0.5670075,0.5781067,0.5851176,0.5809109,0.56713897,0.5506198,0.5391552,0.53485376,0.53679174,0.54161054,0.5462596,0.54771733,0.5448141,0.53825545,0.5299155,0.52092886,0.5111634,0.500864,0.4918691,0.48742393,0.49073315,0.5041251,0.5275125,0.5546809,0.5734484,0.57144284,0.54759854,0.5138578,0.4876722,0.47841373,0.48256862,0.488634,0.48596275,0.4723042,0.45233557,0.43413875,0.4227449,0.42072642,0.4283786,0.44486526,0.46591726,0.48498213,0.49605992,0.49732208,0.49116388,0.4822503,0.47475705,0.47070718,0.4698054,0.4704217,0.47012714,0.46558198,0.45382968,0.4365971,0.4221908,0.4220319,0.44073436,0.47242895,0.5024981,0.51989037,0.5230405,0.5232324,0.53163284,0.5503773,0.5677402,0.57140845,0.55861586,0.53757185,0.51816726,0.5044763,0.49626067,0.49115738,0.4879317,0.48449016,0.47970402,0.47345078,0.46820036,0.4669722,0.47135162,0.47996446,0.48955277,0.49724293,0.5037997,0.51427776,0.5360606,0.569019,0.60172087,0.61413866,0.5964369,0.5561611,0.51585895,0.4938445,0.49686423,0.51746935,0.5435104,0.5615811,0.56579727,0.55668133,0.54158884,0.5264132,0.5152585,0.5087543,0.5067663,0.5074506,0.5088148,0.50910586,0.50810695,0.5058765,0.5024738,0.49748185,0.49104944,0.48393425,0.4768093,0.46931863,0.460652,0.45208576,0.4477029,0.45183375,0.46503353,0.48372886,0.5040549,0.52331036,0.54017425,0.55233645,0.5582959,0.55561393,0.541162,0.512943,0.47578755,0.4430261,0.42971906,0.44403875,0.4801732,0.5216343,0.5485708,0.5514397,0.5347063,0.5126521,0.49641684,0.48841095,0.48486304,0.4827125,0.48308715,0.48887944,0.50053453,0.5161402,0.5343234,0.5565761,0.58113533,0.59969306,0.60121244,0.5831287,0.554883,0.53092647,0.5206986,0.52346057,0.5313809,0.5348696,0.5305745,0.52227265,0.5178025,0.52098477,0.5293265,0.5371062,0.5394752,0.53619194,0.5289953,0.5219112,0.5167525,0.51520365,0.51679367,0.52226377,0.5308588,0.54093343,0.54787654,0.54673433,0.53467816,0.5141029,0.4934236,0.48222268,0.48583066,0.5000505,0.51558393,0.5240576,0.5251648,0.52681184,0.5384445,0.56274754,0.5894832,0.60472035,0.60053426,0.582886,0.5626279,0.548141,0.54052263,0.53792197,0.5375457,0.53722245,0.5352027,0.5312667,0.52658623,0.52239627,0.51887107,0.51467127,0.5085631,0.5001328,0.49150577,0.4873908,0.49489698,0.51871127,0.555145,0.5902233,0.60734564,0.60010546,0.57687545,0.5545006,0.54528266,0.5505186,0.5617042,0.5677135,0.5622504,0.54643273,0.5261322,0.50621,0.48881125,0.47506472,0.4666374,0.46441993,0.46663043,0.46911582,0.4679707,0.4617567,0.45449772,0.45284617,0.4626241,0.4808849,0.49879634,0.5061801,0.5008119,0.48786163,0.4767809,0.47410142,0.4810218,0.49421313,0.51088136,0.5288939,0.5470919,0.56292605,0.57775354,0.5928489,0.6067988,0.6101031,0.5958317,0.5665524,0.53526425,0.5131636,0.50291806,0.4996979,0.49791718,0.4945787,0.48936066,0.4835856,0.47937277,0.47868586,0.48160318,0.48666766,0.49148646,0.49487385,0.49603835,0.49618396,0.4988369,0.51120716,0.5363284,0.56708986,0.5850274,0.5759911,0.54199153,0.502347,0.4770505,0.4739068,0.48467907,0.49498466,0.49296245,0.47778046,0.45617688,0.43882057,0.43078652,0.4323353,0.4392037,0.44802988,0.45600316,0.4616767,0.46395242,0.4633294,0.46200013,0.46292368,0.46760902,0.4748154,0.4817747,0.48571837,0.4853486,0.48028174,0.4725817,0.46590182,0.4653745,0.4735409,0.49038628,0.51252407,0.53506064,0.55324733,0.5654249,0.57409686,0.5809539,0.5833098,0.57605267,0.55902344,0.5387321,0.52226716,0.5119738,0.5060087,0.5031271,0.50336516,0.5066874,0.51138395,0.515955,0.519811,0.52363086,0.5275468,0.5310468,0.5328279,0.5317848,0.5290615,0.529484,0.5417235,0.5694292,0.60568124,0.63184327,0.6342287,0.6133856,0.58587,0.5677485,0.5662732,0.57511353,0.58310837,0.5790755,0.5619243,0.5382312,0.5194003,0.51025957,0.50932676,0.5110185,0.5121131,0.5121135,0.51154494,0.5104451,0.5082009,0.5047649,0.5011773,0.49875936,0.49829373,0.4988755,0.49937177,0.4980863,0.4937502,0.4842793,0.47081706,0.4569,0.45108676,0.45861697,0.48225617,0.5143296,0.5450633,0.56447667,0.57324255,0.57741994,0.58111614,0.58178574,0.5740352,0.55995685,0.54747945,0.5469003,0.56081295,0.5816155,0.59381026,0.58372337,0.55031973,0.5047868,0.46366575,0.43777618,0.43114558,0.44182655,0.46583483,0.497463,0.53095114,0.56156445,0.5869376,0.6066392,0.6189502,0.61990255,0.60510486,0.57661754,0.54312706,0.51634383,0.503186,0.5039874,0.513416,0.5236296,0.5284632,0.52619743,0.52021927,0.51504546,0.51253057,0.5115527,0.50934243,0.5049083,0.49789798,0.48955444,0.48017788,0.47125602,0.46386078,0.4599638,0.45985445,0.46348715,0.46937415,0.47615087,0.48134062,0.48343047,0.4824114,0.48057327,0.48061904,0.48375762,0.4902215,0.49712884,0.50001,0.49169174,0.47005597,0.43820906,0.4050332,0.37697136,0.35646617,0.34175166,0.3303511,0.3206328,0.31190303,0.30397332,0.29649225,0.28933606,0.28302205,0.27856433,0.2763962,0.27576163,0.2748889,0.27243456,0.2681849,0.2632765,0.25890884,0.25527802,0.25120974,0.24520443,0.2367335,0.226775,0.216857,0.20786549,0.19960569,0.19180723,0.18493678,0.17993511,0.17697604,0.17497511,0.17247333,0.16897799,0.16540171,0.16289145,0.16198553,0.16216952,0.16295153,0.1637251,0.16400278,0.16292502,0.16028513,0.15718597,0.15642013,0.16085811,0.1710509,0.18376915,0.19379085,0.19755636,0.19557023,0.19119577,0.18762986,0.1860122,0.18552198,0.1845841,0.18165767,0.17599969,0.16847055,0.16168503,0.15960144,0.16441752,0.17516048,0.18644492,0.19299114,0.19195618,0.18518943,0.17584759,0.16668777,0.15877873,0.15252203,0.14788824,0.1442573,0.14079799,0.13747801,0.13590248,0.13838027,0.14571482,0.1556539,0.16394095,0.16717036,0.16493319,0.15913142,0.15181203,0.14362128,0.1342788,0.12373922,0.11277389,0.10254305,0.09387479,0.08695626,0.081435084,0.07681384,0.07269243,0.0688682,0.065233655,0.06170541,0.058354583,0.05554563,0.053976025,0.05417977,0.056062263,0.05865417,0.06068146,0.06151475,0.062364947,0.06664956,0.07869744,0.10020918,0.12763916,0.15297346,0.16918564,0.17432809,0.17163138,0.1649478,0.15589474,0.14398046,0.12914847,0.11283696,0.09738511,0.08512798,0.07880924,0.08243052,0.09951749,0.12876366,0.16110037,0.18338989,0.18716715,0.17413707,0.15381937,0.13547318,0.123148344,0.11566766,0.1103295,0.10528556,0.10027334,0.095971264,0.0931665,0.09218352,0.0923749,0.092487045,0.09116602,0.08813355,0.08411635,0.08045069,0.07760474,0.07498491,0.07114492,0.06522042,0.05745758,0.049259707,0.04207994,0.03673012,0.03313977,0.030848498,0.02937934,0.028373769,0.02755644,0.026745321,0.025973829,0.025638377,0.026539259,0.029594263,0.034984533,0.041570075,0.047038764,0.049404323,0.04857185,0.047012907,0.048948675,0.057463866,0.072428234,0.08933688,0.10284564,0.10946677,0.10985754,0.106359385,0.10136506,0.09592772,0.090559244,0.08548156,0.08072572,0.07617262,0.07212126,0.069892906,0.071697764,0.0789969,0.090869516,0.103419475,0.11207762,0.11404714,0.10990798,0.10223752,0.093865566,0.08638688,0.08024672,0.07520344,0.070830934,0.0667878,0.062888935,0.05918811,0.05579337,0.052769985,0.04999982,0.047361355,0.04480825,0.04245438,0.04039277,0.03864522,0.037120726,0.035761878,0.034574896,0.033636793,0.032997724,0.032643855,0.032519635,0.032581214,0.032845218,0.03333287,0.033992622,0.034609202,0.03485613,0.03447869,0.033505183,0.032341693,0.031593498,0.03176834,0.033003915,0.035034016,0.037507743,0.040329006,0.04398037,0.04904682,0.05568577,0.063003115,0.06973818,0.07512165,0.07970945,0.08467692,0.09076699,0.09724164,0.10207737,0.1027137,0.09725093,0.08576866,0.07188732,0.06311657,0.06865945,0.093169,0.13247152,0.17339283,0.20279008,0.21448988,0.21279682,0.20612377,0.20196895,0.20388031,0.21289575,0.22800274,0.2452275,0.25849786,0.26273632,0.25819424,0.2502912,0.24525219,0.24460149,0.24380831,0.23633887,0.21924846,0.1969045,0.17952426,0.17927665,0.20300259,0.24803007,0.3008691,0.34530246,0.36980724,0.37245068,0.35600504,0.32419515,0.28040543,0.23086087,0.1841203,0.1475463,0.12354759,0.11013537,0.104161054,0.10392838,0.10868338,0.11703307,0.12589432,0.13216148,0.13416637,0.13259995,0.12899195,0.124688305,0.12033128,0.116463594,0.11371922,0.11252122,0.11297401,0.115270026,0.12048038,0.13032015,0.14581804,0.16563918,0.18598002,0.20240016,0.21268833,0.2183634,0.22350734,0.23136826,0.24160635,0.25078568,0.2552174,0.25361365,0.2467167,0.23634653,0.22428109,0.21262252,0.20285656,0.19545583,0.189619,0.1845401,0.18001334,0.1764888,0.17408352,0.1724811,0.1708902,0.16902667,0.16676827,0.16452743,0.162778,0.16303976,0.16719113,0.17667674,0.1902699,0.2041145,0.21299939,0.21333735,0.20455873,0.18928158,0.17160155,0.15537266,0.14232878,0.13200778,0.12242968,0.11250219,0.102842055,0.0963707,0.09582591,0.10211387,0.11237729,0.122198306,0.12803987,0.12980705,0.12934773,0.12828976,0.12603049,0.12108777,0.11252595,0.10136807,0.08921957,0.07822891,0.07061359,0.06952498,0.07672595,0.09102485,0.107502244,0.12094402,0.12915063,0.1347025,0.14322501,0.15909256,0.18187194,0.20522271,0.2219624,0.22917084,0.23088016,0.23363556,0.241569,0.25352374,0.26517725,0.27224243,0.27310017,0.26851174,0.26003462,0.24848507,0.23406118,0.21709709,0.19768368,0.17587261,0.15221114,0.12995034,0.113968335,0.108706385,0.11465454,0.1284259,0.14411117,0.1563252,0.16165662,0.15924835,0.14973865,0.13507502,0.117984004,0.10234225,0.091026045,0.08494558,0.08165423,0.07814623,0.0728747,0.067655094,0.06504652,0.06576007,0.067305475,0.066504754,0.062241156,0.056356322,0.052050572,0.051861435,0.05663692,0.065246396,0.07483947,0.08161753,0.082693316,0.078497685,0.073994964,0.07701933,0.092959225,0.12007109,0.14873205,0.16760646,0.17073816,0.16133392,0.14849229,0.14068373,0.14075093,0.1452326,0.14854918,0.14734013,0.14359355,0.14353521,0.15445125,0.17887777,0.21181144,0.24204795,0.2601634,0.26350096,0.25696346,0.24685214,0.23733306,0.22901107,0.2206982,0.21008755,0.19449067,0.1727053,0.14734,0.12565704,0.11644003,0.124609314,0.14742851,0.17470515,0.19388457,0.19549657,0.17812605,0.14827588,0.11724494,0.09424281,0.082234025,0.077849664,0.076191545,0.07509074,0.07644505,0.08439169,0.102474876,0.13028312,0.16149281,0.18475725,0.18971622,0.17372902,0.14528012,0.1201044,0.11236539,0.12710637,0.15820305,0.19444872,0.22645527,0.25087747,0.26859233,0.2820599,0.29407072,0.30730727,0.32363096,0.3419176,0.35835013,0.36801544,0.36866584,0.36168984,0.35106692,0.33951774,0.32706347,0.31245944,0.29660186,0.28406402,0.27997515,0.28719458,0.3034711,0.32431063,0.3442144,0.3601768,0.37101695,0.37740803,0.37984696,0.37869588,0.37534657,0.37298355,0.37544373,0.38395616,0.39586043,0.40610865,0.41072202,0.4082428,0.3985643,0.38080052,0.3542196,0.32046223,0.28508464,0.25413808,0.23045297,0.21261464,0.19828723,0.18766846,0.18295945,0.18574585,0.19445352,0.20508765,0.21394658,0.21970265,0.22416955,0.23013346,0.23992975,0.2536858,0.26947954,0.28397125,0.29375842,0.29629752,0.28859803,0.26767832,0.23281187,0.19119632,0.1578853,0.15015458,0.17638071,0.23056364,0.29460415,0.3484116,0.3789288,0.3838272,0.36952707,0.3468206,0.32665327,0.31568694,0.31402215,0.31585485,0.31370366,0.30401862,0.29046908,0.28284883,0.2890919,0.30838293,0.32989836,0.34207305,0.34029546,0.32953987,0.31753263,0.31008086,0.3080982,0.31000486,0.31258222,0.31257287,0.30708066,0.29528537,0.27942213,0.26447174,0.25491285,0.25157702,0.24999155,0.24370195,0.22827166,0.20506282,0.18059911,0.16338868,0.15902793,0.16640954,0.17803146,0.18392466,0.17803538,0.1622365,0.14634643,0.14253467,0.15757567,0.18768978,0.22090478,0.24414885,0.24990644,0.23774399,0.21367384,0.18759759,0.16981398,0.16465585,0.16793144,0.17031704,0.16673356,0.16148616,0.1654092,0.18608625,0.22094099,0.25855473,0.28668705,0.3001198,0.3015255,0.29754302,0.29255933,0.2871585,0.2789937,0.26691982,0.25262967,0.24080181,0.23572771,0.23884143,0.247492,0.25803426,0.26847732,0.2801523,0.29397795,0.3082756,0.31806156,0.32043672,0.3167218,0.31254375,0.3113914,0.31218466,0.30810404,0.2930778,0.26577893,0.2341572,0.21004991,0.2032072,0.21335185,0.23295952,0.2522726,0.26610854,0.27335536,0.27492312,0.27159384,0.26416603,0.2541122,0.24251638,0.22961287,0.21444376,0.19790499,0.1835175,0.17669292,0.17931724,0.18831693,0.19739716,0.20264317,0.2040584,0.20406745,0.20456804,0.20624562,0.20893073,0.21154465,0.21152693,0.20547254,0.19246186,0.17645864,0.1656243,0.1656388,0.17498909,0.18420099,0.1830777,0.16803287,0.14664799,0.13370071,0.14172916,0.17178017,0.21240087,0.2476253,0.26688826,0.26900837,0.259025,0.24276598,0.22419529,0.20528953,0.18733573,0.17084187,0.1563188,0.14384858,0.13407166,0.12701099,0.12267432,0.120346,0.12080377,0.12659377,0.14217228,0.1681658,0.19793208,0.21710914,0.214266,0.188356,0.15137275,0.11784128,0.097223915,0.08984244,0.09173844,0.09822605,0.106568515,0.11558033,0.12538967,0.1366869,0.14992572,0.16403997,0.17559795,0.18002348,0.17649168,0.17292273,0.18483858,0.22315626,0.28222218,0.33882424,0.36992976,0.36837128,0.34695283,0.32343456,0.3090979,0.30462673,0.30772582,0.3173659,0.33402476,0.35585484,0.37742332,0.391853,0.39562878,0.39110687,0.3882688,0.39647734,0.41867208,0.4429786,0.45484218,0.4463656,0.42641842,0.40925023,0.4058901,0.4180634,0.44310904,0.4767379,0.5141271,0.5491608,0.5751757,0.5861166,0.5791231,0.55604887,0.5240856,0.4923272,0.4696372,0.46106204,0.4684849,0.4881421,0.5141268,0.53612727,0.54492253,0.5317635,0.498475,0.45483258,0.41772684,0.3988378,0.4020139,0.42164683,0.44704747,0.46783587,0.47837725,0.48027995,0.4779307,0.47457686,0.4700824,0.4631267,0.45353913,0.44299987,0.4345202,0.43073356,0.43246424,0.43815926,0.444244,0.44729832,0.44526887,0.43947378,0.43341544,0.43194222,0.43799984,0.45139143,0.4670832,0.4783101,0.48047492,0.47621575,0.47069266,0.46813235,0.46732092,0.47012147,0.47813818,0.4915456,0.4993857,0.49070296,0.46057096,0.41780177,0.37566996,0.34726176,0.33848992,0.34745097,0.36361405,0.37503043,0.37486959,0.3658198,0.35502622,0.34908167,0.3497623,0.3549229,0.35996756,0.36022782,0.35502115,0.3500953,0.3576486,0.38470104,0.42402327,0.4524268,0.45038643,0.41802084,0.37677756,0.35005853,0.34651288,0.35765448,0.36837733,0.36809263,0.3559525,0.3381228,0.32305148,0.31554994,0.31713688,0.3262388,0.3409091,0.3586603,0.37803635,0.3976752,0.41542995,0.42797247,0.43376446,0.43507144,0.436532,0.4404494,0.44517252,0.4465107,0.4409831,0.42745635,0.40795004,0.38763463,0.37322286,0.3699963,0.37945822,0.39757606,0.4184749,0.438409,0.4594883,0.4848604,0.5119341,0.5329245,0.5403685,0.5354255,0.52374053,0.5125349,0.5048549,0.50180507,0.5020203,0.5042457,0.50804514,0.51510125,0.5271488,0.5433302,0.5590612,0.56845134,0.5682003,0.5594671,0.5472238,0.5377228,0.5365675,0.54407954,0.5543607,0.5562585,0.54402137,0.5204774,0.4975324,0.4850435,0.48792985,0.501629,0.5175298,0.52441597,0.5182336,0.5017964,0.4843383,0.47140646,0.4641026,0.4592693,0.45495334,0.45034686,0.44575438,0.44150332,0.43858346,0.4384507,0.441816,0.44762585,0.45326462,0.45644274,0.45649484,0.45419005,0.4505192,0.4458771,0.4404508,0.4345987,0.43026653,0.43063286,0.44006905,0.4584606,0.4818028,0.5018472,0.5136971,0.51266414,0.49545106,0.45997956,0.4128476,0.36755168,0.3366858,0.32327935,0.3224299,0.3277352,0.33611715,0.3461143,0.35613525,0.36362636,0.3668333,0.36462995,0.35633,0.34043932,0.3154578,0.2800754,0.23530902,0.18548472,0.13988362,0.110276304,0.10611868,0.12780823,0.16435976,0.19822288,0.21502064,0.21143293,0.19467968,0.17608897,0.16357993,0.15893199,0.15897734,0.15948528,0.15840703,0.1565939,0.15597193,0.15723912,0.15975411,0.16249834,0.16492513,0.16716361,0.16942257,0.1717382,0.1727466,0.17174941,0.16922773,0.16821378,0.16978003,0.17210917,0.16966987,0.15849324,0.13900103,0.11791518,0.10428358,0.1036954,0.11363397,0.12526502,0.12962425,0.12412539,0.11371896,0.10795092,0.11426798,0.1336239,0.1593555,0.1823961,0.19636391,0.20049639,0.19760491,0.19174917,0.1855738,0.1797285,0.17273603,0.16409051,0.15532762,0.15049267,0.15243791,0.1624125,0.17894955,0.19929786,0.21873988,0.23268116,0.2383099,0.23617268,0.22897314,0.2200197,0.21198511,0.20640475,0.20324217,0.20117392,0.19882779,0.19672577,0.19760317,0.20470835,0.21855497,0.23590164,0.25168395,0.26234958,0.2671989,0.266723,0.26100773,0.24946694,0.23301704,0.2144695,0.1972778,0.18226795,0.16763912,0.15202816,0.13820793,0.13175343,0.13509323,0.14349917,0.14845699,0.14721197,0.14900804,0.17008813,0.22008996,0.29103807,0.36172438,0.4122548,0.43828627,0.4505298,0.46629778,0.49572828,0.53673774,0.57503265,0.5966706,0.59713775,0.58500266,0.57165784,0.563322,0.55889034,0.556114,0.5547216,0.55598885,0.559736,0.5645412,0.5688545,0.5718537,0.5726983,0.5701603,0.56388706,0.55484957,0.5466015,0.54360867,0.55135804,0.57025594,0.59495336,0.6132502,0.6174765,0.607902,0.59486246,0.58751416,0.58941406,0.5950207,0.59660786,0.5888137,0.5736282,0.5567789,0.54341894,0.534118,0.5278151,0.52494186,0.527836,0.53694016,0.5490138,0.558448,0.5614038,0.55683154,0.5473086,0.535723,0.52490956,0.5143077,0.50287384,0.48976198,0.47769973,0.47064582,0.47108364,0.47782984,0.48709336,0.49656105,0.5066013,0.5184593,0.5319665,0.5452103,0.55708164,0.56513065,0.56555206,0.5546054,0.5346444,0.51367235,0.4997512,0.4947243,0.49497142,0.49589738,0.49584946,0.49586788,0.4979624,0.5028997,0.5093558,0.5145831,0.5159804,0.5130771,0.50747705,0.5019887,0.49884248,0.49969792,0.5061732,0.51859194,0.53383905,0.5440054,0.54193616,0.5262957,0.504372,0.4849986,0.47305748,0.46537343,0.45586333,0.4396192,0.41815838,0.39693615,0.38225225,0.37672672,0.38089803,0.39504138,0.41936445,0.45023522,0.47931996,0.49767867,0.5022175,0.4973892,0.49087846,0.4874036,0.48626867,0.48387465,0.47744107,0.465855,0.44847858,0.42530048,0.40088323,0.38410997,0.38495266,0.40493688,0.43814835,0.4712812,0.4946804,0.50390905,0.5063562,0.5121572,0.5273374,0.54603976,0.5573182,0.55467576,0.5403915,0.52197975,0.5058733,0.49536672,0.49070498,0.4902917,0.49206093,0.49491894,0.49973145,0.5080182,0.5202027,0.5345032,0.54811037,0.55879396,0.5663185,0.57256436,0.5805469,0.5924395,0.6064606,0.61704487,0.6173062,0.60551494,0.58636826,0.56864244,0.55844706,0.55564916,0.5549198,0.5499896,0.5389996,0.5248477,0.5126878,0.50532466,0.50306326,0.50511265,0.51094776,0.51899666,0.5261658,0.5292575,0.52728266,0.5221784,0.5171077,0.51400465,0.5121955,0.50938135,0.50427,0.49785885,0.49277994,0.49074626,0.49223378,0.496253,0.50196207,0.5081427,0.51428026,0.5189903,0.5202698,0.5160128,0.50777817,0.49904558,0.49217215,0.48297036,0.46788195,0.44729248,0.4308734,0.42776397,0.44427764,0.47614798,0.512693,0.5382069,0.544266,0.5328517,0.5164056,0.5054078,0.50345445,0.50505435,0.5034313,0.49388278,0.47779587,0.4599763,0.44799754,0.4493562,0.46868694,0.50275815,0.53858835,0.56059796,0.5610377,0.5459888,0.52867717,0.52005285,0.52099043,0.5255227,0.52487975,0.51675105,0.50417393,0.4951702,0.49337885,0.49816787,0.50336164,0.5039461,0.496845,0.483632,0.46735248,0.45253572,0.44264135,0.44138777,0.45021522,0.4679449,0.48821816,0.5028934,0.5046435,0.4926268,0.47199786,0.45301738,0.44338763,0.44633555,0.4583045,0.47586074,0.4945592,0.51310414,0.53006077,0.5482031,0.5680039,0.58605164,0.5943289,0.58919436,0.5755188,0.5624667,0.555844,0.5549925,0.5566409,0.5581483,0.5586855,0.55809766,0.55677897,0.5552804,0.5533338,0.5493602,0.5407676,0.5269384,0.5096131,0.49381676,0.48527634,0.49033967,0.5115053,0.543825,0.57378453,0.5866705,0.5778428,0.5553165,0.5341968,0.52478796,0.5284318,0.53819674,0.5452233,0.5445592,0.5373193,0.52827686,0.52053005,0.5142289,0.50832874,0.5032227,0.49986067,0.4984176,0.4968003,0.4928942,0.4854022,0.47782293,0.47498822,0.48185077,0.49601611,0.5115014,0.5196159,0.5170123,0.50520366,0.49229392,0.48649445,0.4927481,0.5081603,0.5273208,0.5439517,0.55615395,0.56317425,0.56779546,0.5706522,0.5698209,0.5599375,0.53940254,0.5131187,0.48911676,0.47237113,0.46263325,0.458117,0.45741284,0.45984337,0.463479,0.46594393,0.46459302,0.45846966,0.44791296,0.43553314,0.42385283,0.41503844,0.4090487,0.40707895,0.4122785,0.4310993,0.4639907,0.5018038,0.52519304,0.5217044,0.49394342,0.46054927,0.43924096,0.43642962,0.4438891,0.4483447,0.44097045,0.4237301,0.40495482,0.39258564,0.38803807,0.3889329,0.39174882,0.39445785,0.3957909,0.3958042,0.3959781,0.39792463,0.40247157,0.40839958,0.4140856,0.41747048,0.41829368,0.4171629,0.41589835,0.41544923,0.41776028,0.42511633,0.44066,0.46387264,0.49182776,0.51880985,0.5411082,0.55653197,0.5669813,0.5747376,0.58054584,0.58009964,0.56954545,0.54890454,0.5238846,0.49996433,0.4809264,0.4687444,0.4651138,0.46907344,0.4767567,0.4834695,0.48760283,0.49085388,0.49570283,0.5027351,0.510037,0.51548225,0.5175269,0.51724625,0.5173442,0.5237933,0.5398035,0.5637491,0.58492976,0.59431094,0.58871204,0.57595325,0.5644837,0.5599175,0.5595142,0.55737,0.54645276,0.5258779,0.50001115,0.47710264,0.46197927,0.45536265,0.45447823,0.45662022,0.4597826,0.4624976,0.46402323,0.46432254,0.46444818,0.46522024,0.46679875,0.46803144,0.4672531,0.46274933,0.45324838,0.43854845,0.42062512,0.40548563,0.40057668,0.41107798,0.43351915,0.45893168,0.47711715,0.4854683,0.48861095,0.4940474,0.5050276,0.5171097,0.52493995,0.5257812,0.5241044,0.524895,0.5331986,0.54803866,0.56251794,0.56320995,0.5405035,0.49612486,0.44435477,0.40225336,0.38139287,0.3846841,0.40885544,0.4460933,0.48760056,0.52441317,0.5525988,0.572042,0.586917,0.59715754,0.5980289,0.5825874,0.5517808,0.51574963,0.48803195,0.4768587,0.48082805,0.49177703,0.49903283,0.49754122,0.48907718,0.48108587,0.47849217,0.48188952,0.48793462,0.49341288,0.49608144,0.4947476,0.48954698,0.48220015,0.47599092,0.4734782,0.47509763,0.47816372,0.47912785,0.47545144,0.46744394,0.45726633,0.44786286,0.44157133,0.43911323,0.44045332,0.44434038,0.45098314,0.4570329,0.45797455,0.44561312,0.41963926,0.38519785,0.35374713,0.33027223,0.3139408,0.29884267,0.28208646,0.2648563,0.25104555,0.24344622,0.24170147,0.24307287,0.24418087,0.24358332,0.24186479,0.24096887,0.24159563,0.24300073,0.24351108,0.24270944,0.24132587,0.240683,0.24128763,0.24315168,0.24570759,0.24801598,0.24844617,0.24583511,0.24059023,0.23521979,0.23273478,0.23524638,0.24237733,0.2518404,0.25954103,0.2623832,0.2593929,0.25298104,0.2461253,0.24043322,0.23497157,0.22824818,0.21982652,0.21099643,0.2034925,0.1986895,0.1967244,0.19702916,0.19817968,0.19883336,0.19786046,0.19496594,0.1902989,0.18446697,0.17851834,0.1739251,0.17181717,0.17188169,0.17232947,0.17118628,0.16856927,0.16736704,0.17248674,0.186747,0.20857613,0.23085208,0.24640147,0.25149167,0.24846482,0.24134703,0.23339207,0.2252708,0.21718955,0.20950882,0.20293103,0.19761546,0.19330709,0.18958528,0.1861464,0.18252863,0.17824733,0.17314756,0.16789722,0.1636817,0.16166902,0.16244648,0.16591662,0.17109571,0.17628789,0.17952652,0.17965274,0.17700881,0.1734368,0.17128025,0.17126346,0.17170383,0.16889335,0.16070716,0.14784296,0.1338186,0.12146633,0.1118876,0.10432777,0.09800423,0.09260822,0.08843926,0.08594796,0.085778765,0.08881248,0.09607428,0.1075357,0.12123936,0.13314821,0.13933271,0.13789327,0.1305886,0.12268577,0.12173998,0.13393046,0.15933083,0.1901239,0.21515034,0.22770433,0.23006713,0.23013933,0.23473436,0.24477477,0.2562719,0.26443267,0.26696563,0.26495907,0.26073492,0.2563447,0.25241098,0.2489643,0.24571514,0.24260841,0.23968534,0.23738576,0.23635198,0.23733337,0.24031119,0.24448113,0.24837239,0.25111508,0.2527282,0.2539113,0.25508502,0.25609943,0.25670347,0.25687733,0.2569863,0.25728002,0.25820342,0.26025736,0.26420915,0.27012765,0.27737477,0.28442827,0.2902173,0.2944564,0.29815504,0.30187628,0.3050693,0.30527437,0.3008834,0.29242513,0.28364655,0.27820715,0.27767876,0.28022024,0.28287435,0.28361875,0.2824302,0.28027043,0.27771592,0.27455115,0.27044013,0.26545393,0.26006606,0.25465605,0.24964821,0.24570835,0.24379678,0.24465728,0.24824475,0.2536625,0.25952163,0.2644345,0.2673866,0.26781377,0.26596138,0.26261213,0.25893128,0.2556494,0.2530035,0.2506268,0.24803233,0.244832,0.24096279,0.23649953,0.23148578,0.22587247,0.21975636,0.21350975,0.20781893,0.20343713,0.2009583,0.20040995,0.20116167,0.20208375,0.20221938,0.20126677,0.19960941,0.197712,0.1955893,0.19283514,0.18913043,0.18464826,0.17998469,0.17586352,0.172845,0.1711996,0.17090118,0.17172734,0.17337291,0.17534055,0.17692675,0.17734407,0.1761866,0.17370094,0.17082705,0.16907729,0.17011847,0.17520481,0.18412971,0.1951099,0.20531659,0.21260732,0.21622503,0.21688843,0.2155575,0.21283276,0.20860273,0.20253675,0.19446224,0.18476118,0.17445447,0.1651984,0.15867995,0.15595035,0.15641576,0.15831143,0.15958089,0.15949982,0.15859067,0.15785539,0.15765102,0.15768373,0.1575857,0.15732293,0.15694778,0.15632232,0.15502274,0.1529228,0.15025799,0.14751215,0.14465554,0.14110978,0.1361445,0.12964039,0.122202195,0.11480702,0.10830242,0.10319082,0.09954616,0.096992694,0.09484586,0.092380024,0.08908077,0.08471056,0.079331644,0.07338985,0.067570426,0.06241815,0.05787434,0.053392936,0.048482165,0.043197077,0.038064968,0.03363301,0.03016329,0.02760497,0.025767079,0.024404615,0.02330055,0.022278184,0.021225192,0.020066181,0.018750489,0.017255103,0.015579968,0.013766577,0.011884478,0.010049318,0.008362717,0.0068810233,0.0055656997,0.0043527996,0.0032132566,0.0022060482,0.0014162175,0.00088717305,0.00058244093,0.00042466994,0.00034249644,0.00029299656,0.0002527468,0.00021101967,0.00016644066,0.00012520842,9.174155E-05,6.5875785E-05,4.4961154E-05,2.8448585E-05,1.749209E-05,1.3042332E-05]