[0.21060322,0.22089255,0.24013762,0.25820577,0.26998416,0.27621517,0.27968335,0.28229177,0.28623533,0.29434586,0.3070856,0.3212526,0.33188382,0.3366516,0.33522913,0.32681236,0.30957314,0.28425524,0.2565376,0.23384058,0.22117352,0.22039874,0.23181395,0.25423,0.28178823,0.30591792,0.31919178,0.32044312,0.31219992,0.29772863,0.27884135,0.25789088,0.23820944,0.2228251,0.21262479,0.20653379,0.20319845,0.20139505,0.19962807,0.19560333,0.18805587,0.17833626,0.17043066,0.16830641,0.1731223,0.18279754,0.19381452,0.20381235,0.21221296,0.21950835,0.22619165,0.23241931,0.23794346,0.24189092,0.24278654,0.23905374,0.2292908,0.2131852,0.1919021,0.16877174,0.14744759,0.13027252,0.11727028,0.107681714,0.10117779,0.097601414,0.09609801,0.09490799,0.092339195,0.08710287,0.0784828,0.06660808,0.053073853,0.04062272,0.03212178,0.03040128,0.03942125,0.064306505,0.10754725,0.16431254,0.22181344,0.2663848,0.29114166,0.29887712,0.29695043,0.29167452,0.2859467,0.28060988,0.2759181,0.27134922,0.26607952,0.2600141,0.25479183,0.2520735,0.2514124,0.24989033,0.24503864,0.23686518,0.22790705,0.22063906,0.21652585,0.21573888,0.21787113,0.22179699,0.22584087,0.22823781,0.22751014,0.22256178,0.21272965,0.19827582,0.18140598,0.16537611,0.1527881,0.14249723,0.13082874,0.114035405,0.092357956,0.06920088,0.049051702,0.034220163,0.02473315,0.019028382,0.015543408,0.013176248,0.011449681,0.010138619,0.009128705,0.008310488,0.0076024137,0.006899537,0.00611289,0.0052018124,0.0042544347,0.0034193483,0.0028349466,0.0025194401,0.0023884044,0.0023161275,0.0022451568,0.0021981122,0.002240819,0.0024005088,0.002658979,0.0029673,0.0032807337,0.0035483453,0.00371078,0.003705586,0.0035089145,0.0031597915,0.002770324,0.0025949911,0.0038738481,0.00958491,0.024638131,0.052000444,0.08915701,0.1264088,0.15400444,0.168886,0.17722642,0.18648231,0.19759198,0.20473202,0.20351411,0.19876671,0.20163928,0.21993391,0.25004396,0.27996442,0.29874933,0.3028687,0.29503953,0.27765307,0.25081217,0.213852,0.17116465,0.1325479,0.11077097,0.11324338,0.13785438,0.17238863,0.20270531,0.2193076,0.22108005,0.21096419,0.19229205,0.16665979,0.13620271,0.10465143,0.0777361,0.06130624,0.06055053,0.07758421,0.110057496,0.14920266,0.18277489,0.19958578,0.19537944,0.1735095,0.1427322,0.11220697,0.088493705,0.07354252,0.06557256,0.061338972,0.059487004,0.062197942,0.07275868,0.0920369,0.11561217,0.13691212,0.15056704,0.15574066,0.1543728,0.14983052,0.14492798,0.14168453,0.14026989,0.1393127,0.13708925,0.13339283,0.12941794,0.12621996,0.12338886,0.11996954,0.11584885,0.111884825,0.10827295,0.10375572,0.09670239,0.086937495,0.07629276,0.06719798,0.061157692,0.05800861,0.056659523,0.05593778,0.055244368,0.05447937,0.05380754,0.05333462,0.05305956,0.05285226,0.052589852,0.05216965,0.051607285,0.050983075,0.050389677,0.049807012,0.04916686,0.048484784,0.048031833,0.04815432,0.049007017,0.050248962,0.051275488,0.05159248,0.051209252,0.050460417,0.049652953,0.048757393,0.04756908,0.04598783,0.044200808,0.042491645,0.041020732,0.039689418,0.038323622,0.036828265,0.035309818,0.033928584,0.03279222,0.03181486,0.030818693,0.029616097,0.0281569,0.026494311,0.024763243,0.023941642,0.027192673,0.041276414,0.073193856,0.12400373,0.18230627,0.22937925,0.25118214,0.25038785,0.2435716,0.24770015,0.26814577,0.29685178,0.3224845,0.3379042,0.34348762,0.3416309,0.33307293,0.31669945,0.29256448,0.26420322,0.23700428,0.21767217,0.21515375,0.23957276,0.29571268,0.37344742,0.44978043,0.5013143,0.51991516,0.51395035,0.4986149,0.48433614,0.47345364,0.46230936,0.44506335,0.41706803,0.37869272,0.3360491,0.29798576,0.2707429,0.25598684,0.25183627,0.25540125,0.26352784,0.27400407,0.28598154,0.30014935,0.31655124,0.33315074,0.3462919,0.35214093,0.34757006,0.32936907,0.296468,0.25305572,0.21071905,0.18322337,0.17708205,0.18626676,0.19546749,0.1921977,0.1742691,0.15134661,0.13773961,0.14424588,0.1724981,0.21328175,0.2538088,0.28313747,0.29696068,0.29300627,0.27120784,0.23478706,0.19372289,0.16081035,0.1455727,0.15002455,0.16965526,0.19651085,0.22201574,0.23976098,0.24731188,0.24613588,0.23956364,0.23066705,0.22158112,0.21305513,0.20494781,0.1968149,0.18885319,0.18136024,0.173629,0.16410767,0.15153784,0.13608553,0.11867712,0.10064942,0.08350843,0.06907621,0.058506068,0.05176999,0.047732268,0.04522406,0.043432515,0.04206037,0.04096247,0.04019743,0.039831188,0.039939642,0.04042576,0.041071597,0.04160619,0.041792493,0.041528746,0.04073561,0.039519172,0.0380488,0.03737027,0.040370952,0.053045522,0.08226412,0.13064694,0.1911972,0.24871087,0.2878903,0.30287668,0.29993615,0.29116035,0.2845483,0.2779615,0.26425022,0.24080099,0.21715935,0.2082126,0.22324057,0.25671104,0.29389402,0.32095554,0.33273444,0.33055905,0.31595293,0.28871706,0.24980205,0.20683841,0.17267494,0.15908192,0.16849221,0.19267897,0.21888517,0.2376442,0.24705403,0.25105992,0.25638095,0.26896802,0.2902751,0.31586924,0.3363169,0.34344128,0.3328642,0.30606842,0.26751104,0.22442496,0.18394136,0.15144767,0.12922655,0.11766348,0.11673549,0.12517256,0.14005168,0.15690862,0.17193228,0.18234868,0.18640131,0.18320292,0.17342973,0.15941568,0.14329623,0.1258079,0.10623905,0.085549414,0.06751054,0.05866167,0.063903354,0.083967306,0.11341498,0.14429058,0.16947305,0.18647385,0.19605716,0.19986959,0.19740833,0.1861698,0.16424628,0.13333736,0.09967481,0.07112306,0.053891014,0.05124644,0.06351841,0.08796608,0.11711382,0.14166735,0.15454133,0.15559623,0.14907555,0.1400957,0.13086483,0.122372545,0.115677856,0.11323666,0.11653852,0.12473158,0.13348524,0.13728707,0.13180803,0.11669314,0.09593701,0.07693013,0.06756737,0.07263573,0.091514,0.11810877,0.14506727,0.1671831,0.18379815,0.19634843,0.20677662,0.21580188,0.22345912,0.22908044,0.23170948,0.23085816,0.22665055,0.22030765,0.21290867,0.20554452,0.19794367,0.18967497,0.18020827,0.16995208,0.15860482,0.14430468,0.12474064,0.10001425,0.07459525,0.055229694,0.0481677,0.05669756,0.08003519,0.112784445,0.14544837,0.16940732,0.18030901,0.18053186,0.17398779,0.16370279,0.14891799,0.12931983,0.10623902,0.084210835,0.06671996,0.05493745,0.047834057,0.046450604,0.05381261,0.072027445,0.097586356,0.122889906,0.14097132,0.15010573,0.15262961,0.15138678,0.1472853,0.14021301,0.13088568,0.12112095,0.11259062,0.10563898,0.09962808,0.09397199,0.088545315,0.08329093,0.077650346,0.070909195,0.062330496,0.05173983,0.039507978,0.027153468,0.016580021,0.0092877075,0.005287415,0.0035583854,0.002828421,0.0023306222,0.0018117549,0.0012946054,0.00088054664,0.00063145324,0.0005665072,0.0006798611,0.0010142322,0.0016884044,0.0028586276,0.0046204063,0.0068766586,0.0092723,0.011239064,0.012203682,0.0118500525,0.010314726,0.008250135,0.0071907174,0.009841043,0.019866625,0.039568223,0.06757104,0.098204255,0.12493425,0.144111,0.15639381,0.16467269,0.17146772,0.17765796,0.18256074,0.184505,0.18215506,0.17598511,0.16950195,0.1678348,0.17470025,0.18924928,0.20664708,0.22197217,0.23400426,0.244657,0.2549299,0.26181093,0.26044178,0.24933703,0.234483,0.22687888,0.23525381,0.25930572,0.29004368,0.31696156,0.3350706,0.34547445,0.3512689,0.35324585,0.3513944,0.34584883,0.33829,0.32838115,0.31486407,0.2970483,0.27899122,0.26672363,0.2640728,0.26830778,0.27364162,0.27550924,0.27398664,0.27136955,0.2702464,0.2727326,0.28066075,0.29495963,0.31338164,0.3316388,0.34481254,0.3504387,0.3474239,0.33577275,0.31597412,0.29075348,0.2650788,0.24445742,0.23208128,0.22755964,0.22801886,0.2301385,0.23156147,0.23146777,0.23094629,0.23270969,0.23899661,0.24784888,0.2518059,0.24107803,0.21110357,0.16637877,0.118861996,0.07976974,0.054575074,0.041520763,0.036131,0.034063186,0.033191618,0.032592777,0.03223208,0.032168422,0.03249312,0.032935593,0.032922994,0.031777598,0.029106349,0.02517946,0.021115443,0.019813173,0.026338883,0.04811418,0.09033678,0.15186854,0.22182721,0.28579512,0.33281842,0.36137915,0.3763245,0.38365027,0.3864437,0.38504386,0.3792827,0.3695422,0.35649458,0.34059283,0.32284984,0.30621386,0.29390073,0.2867294,0.28067434,0.27086318,0.25529706,0.23912273,0.23182155,0.24573676,0.2875792,0.35369548,0.42373934,0.47171053,0.4791026,0.45095417,0.41002953,0.38258722,0.37848344,0.38789573,0.3892319,0.36575913,0.31508762,0.2516685,0.19831271,0.17658591,0.19462746,0.24464734,0.30568644,0.35774514,0.3910915,0.4102366,0.42510393,0.4432517,0.4659524,0.49115184,0.5164698,0.53977776,0.5594384,0.57418984,0.5845552,0.5918501,0.59761304,0.6022173,0.6054284,0.6067522,0.6059201,0.6033249,0.60032994,0.5992393,0.6013875,0.6060221,0.61029774,0.61183673,0.6097646,0.6041567,0.594234,0.5786664,0.5578596,0.5353519,0.5163322,0.50379586,0.49619278,0.48882225,0.4775076,0.4618839,0.44440877,0.42797288,0.41307187,0.39916506,0.3868318,0.38001573,0.3843545,0.40234637,0.42933035,0.4537976,0.46511343,0.45971885,0.44253424,0.4206177,0.39869153,0.3785431,0.36194977,0.35069034,0.34494886,0.34163263,0.33728465,0.3306458,0.32441202,0.32229134,0.32633048,0.33467424,0.34289297,0.3466312,0.34480318,0.33953822,0.33405998,0.32995215,0.32731843,0.32614234,0.32692266,0.32995224,0.3343699,0.33877644,0.34165952,0.34221128,0.34025034,0.33663324,0.3325064,0.32859507,0.32452282,0.31955767,0.31332147,0.30627143,0.29910782,0.29249132,0.28665534,0.2817957,0.27906546,0.28198835,0.296501,0.3260982,0.36639884,0.40301582,0.4202087,0.41076386,0.38059285,0.34233543,0.3077968,0.28528497,0.28141293,0.29998687,0.33852395,0.38575634,0.42804015,0.45550737,0.46688434,0.46438387,0.45239612,0.43542817,0.4220841,0.419649,0.43110368,0.44967473,0.4661723,0.47343448,0.47116914,0.46158358,0.44754347,0.43157902,0.41663972,0.40569273,0.39956924,0.39777586,0.39748254,0.39622113,0.39067563,0.38072404,0.36731625,0.35456112,0.34467432,0.33943272,0.3372786,0.3368262,0.33639348,0.33685458,0.3411984,0.35442683,0.38003314,0.41613802,0.45393208,0.48191038,0.49276617,0.4867932,0.46946582,0.4457115,0.41873276,0.39002588,0.3622605,0.33702913,0.31550694,0.29731297,0.28231332,0.2700837,0.25945142,0.2487846,0.23667009,0.22452392,0.21646865,0.21750812,0.22880399,0.24575193,0.260431,0.2664064,0.26221123,0.25041205,0.23561157,0.22184522,0.21318315,0.21345681,0.22561331,0.24801083,0.27374825,0.29352728,0.30208376,0.30067465,0.29577386,0.29338726,0.29672897,0.30478737,0.31521368,0.32520035,0.33323362,0.3387101,0.34172812,0.34286657,0.34229612,0.34086332,0.339767,0.3423868,0.351853,0.36941716,0.39125907,0.4111135,0.42506945,0.43468383,0.44464287,0.45626792,0.46675876,0.4719483,0.47110072,0.46541217,0.4558796,0.443166,0.43054828,0.4235388,0.42588738,0.43487343,0.44347176,0.44512108,0.43949434,0.43055555,0.4229525,0.41716897,0.41052207,0.39993095,0.38455418,0.36501363,0.34082255,0.3102764,0.27286944,0.23252624,0.19628279,0.17020947,0.15647149,0.1549005,0.16645293,0.19238733,0.23097025,0.2746183,0.31438825,0.34530893,0.3689445,0.38928637,0.40821448,0.42460966,0.43561292,0.43870702,0.43225133,0.41814438,0.40252563,0.39355245,0.39536807,0.40485534,0.41449746,0.4179926,0.41384605,0.40348172,0.38932297,0.3741394,0.3623344,0.35865662,0.36439428,0.37552357,0.38491789,0.388334,0.38621,0.38210213,0.37839964,0.37618384,0.37601486,0.37898156,0.38527608,0.3932917,0.40060458,0.40571293,0.40914702,0.4117553,0.4135923,0.41360167,0.4118402,0.40936944,0.40742382,0.40517554,0.4009272,0.3929762,0.38117218,0.36570367,0.34796223,0.33044472,0.31802326,0.31626168,0.32889885,0.3547919,0.3872161,0.41773173,0.44046506,0.45412514,0.45947686,0.4566735,0.4462469,0.430351,0.41404438,0.40137294,0.3945606,0.3917315,0.39031568,0.38711104,0.3817096,0.37498382,0.36945978,0.36612165,0.36479446,0.36400056,0.36327302,0.36312973,0.36474708,0.36824715,0.37220106,0.3742585,0.3722259,0.36563626,0.3555236,0.34452376,0.33464262,0.32719353,0.32218206,0.32024312,0.32160926,0.32562807,0.32902065,0.3283454,0.32176936,0.3113339,0.30060995,0.29303575,0.28944477,0.28885558,0.28902343,0.28810698,0.28537098,0.28139687,0.27740583,0.27398178,0.27105883,0.2684601,0.2676685,0.27166882,0.28390977,0.3049331,0.33125886,0.3560438,0.37360916,0.3819988,0.38341329,0.3808262,0.37591812,0.36903587,0.36080304,0.3528856,0.34680513,0.3433981,0.3422196,0.34181353,0.3386325,0.32868513,0.3109057,0.29110953,0.2797539,0.28474167,0.3047506,0.32994455,0.35011947,0.36168873,0.3689133,0.3772322,0.38811544,0.3975568,0.40129998,0.39808476,0.39076456,0.38275638,0.37644124,0.37256622,0.371536,0.37335113,0.37721696,0.38155732,0.38480246,0.3859919,0.38432956,0.3790672,0.3708521,0.36360443,0.36403573,0.3768853,0.40011826,0.42398605,0.4371593,0.4329281,0.41235557,0.38129422,0.34706113,0.31582153,0.29168466,0.27608916,0.26794896,0.26518592,0.26622024,0.2703339,0.27663502,0.28346196,0.28893915,0.29213083,0.29293117,0.29151928,0.2875755,0.28129926,0.2737758,0.26758733,0.26510322,0.26732764,0.27241197,0.2765507,0.27585486,0.26818898,0.25426087,0.23689394,0.22095688,0.21188028,0.21386649,0.22708343,0.24653022,0.264583,0.27486268,0.2755697,0.26867524,0.25774375,0.24576862,0.2350031,0.22732125,0.22375534,0.22309463,0.22152926,0.21523611,0.20443648,0.19465996,0.19263995,0.20055626,0.21414776,0.22686099,0.23468171,0.23761648,0.23721369,0.23487914,0.23184247,0.2297479,0.22960001,0.23063873,0.23078041,0.22865711,0.22495203,0.22175042,0.22079962,0.22220212,0.22457038,0.22545625,0.22242562,0.21402979,0.20162399,0.18963335,0.18407297,0.1886125,0.20220642,0.21905833,0.23253568,0.23817629,0.23555191,0.22650367,0.2140042,0.20091921,0.19055839,0.18540774,0.18657981,0.19241728,0.20081694,0.20970015,0.21873158,0.22690363,0.23328412,0.23649085,0.23656465,0.2339773,0.22890693,0.22119129,0.21150593,0.20345037,0.2012223,0.2073092,0.21857291,0.22956906,0.23535646,0.23577619,0.23269677,0.22816502,0.22223751,0.21540584,0.20941205,0.20700996,0.2089446,0.2132897,0.21663801,0.217122,0.21521847,0.21233778,0.20925616,0.2058136,0.20291573,0.20252256,0.20664449,0.21434505,0.2221768,0.22657096,0.22731705,0.22723143,0.22879495,0.23143704,0.23236842,0.2305095,0.22760339,0.22663732,0.228092,0.23028,0.23080619,0.22887647,0.22404379,0.21593732,0.20430516,0.19121303,0.18003048,0.1737889,0.17223865,0.17313917,0.17372347,0.17297798,0.17101169,0.16836596,0.16592203,0.1652409,0.16951062,0.18068273,0.19775645,0.21452074,0.22476202,0.22621788,0.22323197,0.22136366,0.22307213,0.22706984,0.23213534,0.23880692,0.24728858,0.25557092,0.2609698,0.26306498,0.26338637,0.26268402,0.25882414,0.2491945,0.23332961,0.21495976,0.20000994,0.19372636,0.1976652,0.20856242,0.22149594,0.23249312,0.24153554,0.24899046,0.25504363,0.25766456,0.25698638,0.25400507,0.25123453,0.2484072,0.24462098,0.23820789,0.2296267,0.21969177,0.21021508,0.20289207,0.200418,0.20423244,0.21391308,0.22549687,0.23486471,0.23911244,0.23869787,0.23436725,0.2271825,0.21809345,0.21082449,0.20930202,0.21563877,0.22655278,0.23717678,0.24381922,0.24762137,0.25138754,0.25707975,0.26310316,0.2659422,0.26253295,0.25223166,0.23692243,0.21968563,0.20350568,0.19075596,0.18268561,0.1799997,0.18249194,0.19135846,0.20827033,0.23474456,0.267602,0.300344,0.32578227,0.3414475,0.34890845,0.3518149,0.3527284,0.35314032,0.3537074,0.35496494,0.3573825,0.36100805,0.36506283,0.36787662,0.3680276,0.3651466,0.35993108,0.35328194,0.34611872,0.339509,0.3348944,0.33280623,0.33270288,0.33263722,0.33178082,0.33027515,0.32984504,0.33084258,0.332769,0.33378837,0.3331845,0.33088735,0.327888,0.3251504,0.3240551,0.3261325,0.33229765,0.34196177,0.3522465,0.35967973,0.36107966,0.35547367,0.3437524,0.3287867,0.3142576,0.30292225,0.2958461,0.2917814,0.2894125,0.28765592,0.28664395,0.28601876,0.285188,0.28315118,0.2798845,0.27611306,0.2730713,0.27144507,0.27140936,0.27284324,0.27562532,0.2795587,0.28394088,0.28756285,0.2888774,0.28708568,0.28331736,0.28070143,0.28257164,0.28988323,0.30037317,0.3103385,0.3168668,0.31954193,0.3195218,0.31902596,0.3191538,0.31971028,0.31836346,0.31382385,0.3079226,0.30683193,0.31609848,0.33568978,0.35910007,0.37828043,0.3896598,0.39427972,0.39565635,0.39587918,0.39599368,0.395741,0.39477432,0.3925817,0.3892099,0.38548282,0.38274404,0.38175657,0.38180923,0.38049865,0.3758142,0.36718437,0.35620365,0.34431386,0.3322284,0.3195543,0.3064497,0.29383922,0.28319895,0.27545547,0.27059555,0.2678516,0.2663127,0.26514927,0.26371154,0.26150826,0.2585751,0.255376,0.25257435,0.25054845,0.24946107,0.24931715,0.25008297,0.25141796,0.2527846,0.25363037,0.25395027,0.25427845,0.25537613,0.25739312,0.25967124,0.26117122,0.26142737,0.26075843,0.25959697,0.25752425,0.25365403,0.24771918,0.24131186,0.2362185,0.23360807,0.23290664,0.23481733,0.24040943,0.25086007,0.2636335,0.27508304,0.28218302,0.28605664,0.28923973,0.29345945,0.297673,0.30002722,0.29988113,0.2972672,0.29109958,0.2781768,0.25657183,0.22922546,0.20465541,0.19274949,0.19868697,0.22023852,0.24898827,0.27573928,0.29352903,0.29903626,0.29050887,0.26925528,0.24037492,0.21390201,0.1987565,0.19862372,0.20910132,0.22338419,0.23590158,0.24492931,0.24999857,0.25109217,0.24826686,0.24257861,0.2355019,0.22869329,0.22307736,0.21923132,0.21670341,0.21497293,0.21330571,0.21147907,0.20895542,0.20498438,0.19871403,0.19001617,0.17974417,0.16948093,0.16128498,0.15694016,0.15733767,0.161165,0.16559367,0.16759972,0.16614611,0.1618591,0.15594186,0.14916444,0.14209288,0.13569295,0.13064007,0.12731934,0.12527178,0.124370836,0.12427234,0.12490457,0.12572978,0.12667847,0.12830336,0.13195455,0.1384549,0.14671136,0.15395094,0.15760748,0.15794347,0.15776412,0.16050963,0.1672812,0.1767038,0.18600662,0.19318442,0.19754457,0.1996886,0.20088947,0.20273514,0.20648672,0.21195348,0.21736939,0.2201524,0.21967906,0.21782343,0.21837582,0.22342122,0.23211403,0.24087541,0.24589044,0.24491572,0.23753245,0.22539079,0.21075977,0.19690983,0.18663003,0.18322915,0.1881106,0.20021884,0.21448736,0.22533186,0.22927201,0.2268815,0.22070283,0.21346228,0.20676573,0.20114933,0.19597012,0.19022925,0.18334167,0.17591856,0.16884317,0.16274118,0.15746987,0.15277345,0.14822711,0.14336385,0.13769872,0.13121043,0.12459899,0.118901275,0.11505922,0.113257974,0.11311042,0.11372099,0.114332825,0.11468965,0.115203835,0.11696708,0.12066714,0.12621404,0.13180135,0.1353152,0.13498966,0.13091728,0.12437112,0.1173262,0.111343145,0.1071516,0.104796715,0.103687495,0.103462696,0.103656,0.104370035,0.10550558,0.10722592,0.10926146,0.11128523,0.11289367,0.11393079,0.11501476,0.117771946,0.12489722,0.13757722,0.15197927,0.15874417,0.14839633,0.12035108,0.08457169,0.055437967,0.04080881,0.039235666,0.04464296,0.05511002,0.07630604,0.11636778,0.1766932,0.24604137,0.3062005,0.34284595,0.3540515,0.34935704,0.34497812,0.3591934,0.40438315,0.4757397,0.54323506,0.5665048,0.5225161,0.42771068,0.3246859,0.253215,0.22558625,0.23138289,0.2526218,0.27725288,0.30003083,0.31920335,0.33426502,0.34486496,0.35159197,0.3548307,0.35599038,0.35622546,0.35675016,0.35514852,0.34624293,0.32341254,0.28569916,0.23895614,0.19479595,0.16350009,0.15019463,0.1527971,0.1641006,0.17649059,0.18582828,0.19338425,0.2015677,0.21121508,0.2196403,0.22391514,0.22138299,0.21111721,0.19394378,0.1760069,0.16795045,0.18059516,0.21589907,0.26486912,0.31195796,0.34508392,0.3595271,0.3571669,0.34106073,0.31414497,0.27961332,0.24333204,0.21304126,0.19462372,0.18847053,0.18797703,0.18405755,0.17073424,0.15057723,0.13427027,0.13358368,0.15342231,0.18690735,0.22271907,0.25223067,0.27600935,0.29788712,0.32088268,0.343119,0.36199307,0.37647498,0.38871095,0.4009205,0.41323957,0.42315543,0.42812142,0.42737994,0.42214242,0.416111,0.41723427,0.43886283,0.487877,0.5525107,0.5970826,0.5882185,0.5189984,0.41966173,0.33039686,0.27711323,0.25923878,0.26356772,0.27636155,0.2910954,0.30531093,0.31834173,0.32879758,0.33583865,0.339012,0.3388468,0.33558646,0.33085036,0.3270271,0.32739976,0.33157274,0.33598793,0.33465633,0.32538852,0.31014428,0.2944807,0.281855,0.27261105,0.26358077,0.25304413,0.2408254,0.22931834,0.2186774,0.20835997,0.19665109,0.1837505,0.16944015,0.15339933,0.13698158,0.12692674,0.13354002,0.16302888,0.21006913,0.2599877,0.29792964,0.31809887,0.32257083,0.3158795,0.29909053,0.27264774,0.2391987,0.20675349,0.18318076,0.17234403,0.16949384,0.16554707,0.15217125,0.12950936,0.10700955,0.09936807,0.11555457,0.15264581,0.19645582,0.23351039,0.2584669,0.27588785,0.2916685,0.30829868,0.32394537,0.33593592,0.3433462,0.34661373,0.34730634,0.34616494,0.3442923,0.34305832,0.3451539,0.35295454,0.36923626,0.39958274,0.4508737,0.52206576,0.590995,0.6211154,0.58566207,0.4958166,0.39484635,0.32826397,0.31156155,0.32920074,0.35369393,0.36682734,0.36370575,0.34838712,0.32592484,0.30202582,0.28085545,0.26608923,0.25776264,0.25426686,0.25401685,0.25650883,0.26101136,0.26323408,0.25905138,0.24601056,0.22728874,0.20670001,0.18730529,0.16821302,0.14737643,0.123390585,0.097984046,0.074902646,0.05750455,0.04669864,0.041481405,0.04025818,0.041801635,0.045533195,0.052880798,0.067421004,0.09367133,0.13280173,0.18094844,0.22877677,0.26503327,0.27944756,0.26738724,0.23307818,0.18927155,0.1514967,0.1289532,0.12087951,0.11898012,0.116034366,0.11094337,0.1099694,0.12144964,0.15023097,0.19356866,0.24245928,0.28591955,0.31554052,0.32748786,0.32184657,0.30108765,0.269212,0.23207389,0.19654395,0.16788529,0.14787526,0.13683663,0.13767444,0.1542931,0.18588376,0.22128539,0.24506657,0.24712394,0.23014791,0.20825459,0.2012114,0.23244615,0.31294727,0.4303514,0.53524727,0.5763182,0.5305595,0.4317796,0.33481014,0.28284165,0.2782881,0.29962227,0.31982312,0.32420158,0.31159016,0.28946993,0.2681885,0.25491998,0.25249287,0.2576598,0.26409602,0.26618904,0.26328054,0.25972533,0.259895,0.26544538,0.27432922,0.28471914,0.29494703,0.30390945,0.3093927,0.30948412,0.30377844,0.2941743,0.28406963,0.27556244,0.26816607,0.25898212,0.246055,0.23041391,0.21575288,0.20589542,0.20227249,0.20410986,0.20914853,0.21533217,0.2206736,0.22390632,0.22455092,0.22341466,0.22156942,0.21913368,0.21548049,0.2107267,0.20730978,0.20750545,0.21124642,0.2151698,0.2172497,0.21886323,0.22378124,0.23362535,0.24676895,0.261376,0.27688447,0.293947,0.3105199,0.3239586,0.3319182,0.33594647,0.33831453,0.34069216,0.34190854,0.3406428,0.3369436,0.33294043,0.3304223,0.3295796,0.32904705,0.32753286,0.32441893,0.3208911,0.3220908,0.3397597,0.38656437,0.46334147,0.54568297,0.5938337,0.57842785,0.5069178,0.4156345,0.34309173,0.30352557,0.2899623,0.28848696,0.29160473,0.29645443,0.30168447,0.3048984,0.30564317,0.305299,0.3070164,0.31257388,0.32192937,0.3321511,0.33783635,0.3323705,0.31109372,0.27612033,0.23606585,0.20246987,0.18258078,0.17761688,0.18364008,0.1955723,0.20871957,0.22000141,0.22731672,0.23008199,0.22894508,0.22629584,0.22435516,0.22378625,0.2226107,0.21880637,0.2128359,0.2086813,0.21127898,0.22273286,0.24090235,0.26031235,0.2761279,0.28599867,0.2909617,0.2933484,0.29545093,0.2984124,0.30223045,0.30601227,0.30817142,0.3067703,0.30004254,0.28751537,0.27131054,0.25601435,0.24699877,0.24700613,0.25551417,0.2696295,0.28728402,0.30662408,0.3252115,0.33941087,0.34696567,0.34853813,0.34673175,0.34395632,0.34146145,0.33981326,0.33946112,0.34060645,0.343498,0.34826863,0.35471615,0.36387333,0.38021573,0.41448128,0.4731101,0.5481904,0.60865563,0.6228876,0.579408,0.5020221,0.42655495,0.37863347,0.35944882,0.35726786,0.36039796,0.36310482,0.36389711,0.36157954,0.35674062,0.3507906,0.3459611,0.34176216,0.33626163,0.32764494,0.31626502,0.3034038,0.28972337,0.27545503,0.2613792,0.24907528,0.24013393,0.23493935,0.23240149,0.22929598,0.22227757,0.21089913,0.19922762,0.19306885,0.19420268,0.19960149,0.20411293,0.20540965,0.20365661,0.19975285,0.19387911,0.18629533,0.17829609,0.17139393,0.1666388,0.16420722,0.16392066,0.16544598,0.1678649,0.17013639,0.17087288,0.16964315,0.16647977,0.16279556,0.15976281,0.15826301,0.15792365,0.15861969,0.16039886,0.16417944,0.17109954,0.18422501,0.20583202,0.23604023,0.2681974,0.29473677,0.309899,0.31603387,0.31769463,0.31946382,0.32086262,0.32048586,0.31805286,0.3180161,0.32518435,0.341652,0.36299768,0.38311994,0.3964704,0.4025186,0.4051057,0.41576266,0.44781414,0.5057155,0.57051474,0.6071426,0.58782554,0.5173923,0.42870116,0.35789192,0.32013074,0.30913022,0.31056893,0.31496143,0.31947687,0.3247743,0.3303188,0.33374092,0.33112553,0.32016435,0.30163035,0.27949777,0.25868365,0.24042706,0.22149257,0.19535567,0.16045195,0.12182432,0.089672446,0.06993406,0.061567217,0.0582258,0.05523209,0.05265035,0.053414885,0.059226602,0.06842198,0.07920897,0.093310386,0.116778314,0.1542989,0.20281315,0.24977803,0.28060114,0.28804764,0.27681127,0.25711843,0.23766667,0.22188944,0.21199961,0.20919879,0.21161069,0.21206366,0.20429909,0.19112547,0.1850877,0.1977622,0.22888102,0.26580116,0.2947931,0.30924717,0.31139585,0.30528814,0.2949669,0.2826645,0.27152327,0.26270548,0.25610006,0.24867517,0.23842132,0.22474153,0.20991673,0.19589539,0.1833839,0.17189938,0.16225076,0.15694974,0.15824956,0.16560449,0.17575188,0.18498975,0.19162823,0.19880222,0.21639699,0.26193607,0.3462659,0.4584775,0.554965,0.5891053,0.5420458,0.4453219,0.34913826,0.29052016,0.269979,0.2689415,0.26795015,0.2595702,0.24573547,0.23127143,0.2206844,0.21479721,0.21293496,0.21208508,0.21092834,0.21005678,0.21395177,0.22629791,0.24644947,0.26635993,0.27603388,0.26973787,0.2511862,0.22989033,0.21468471,0.20713632,0.20297016,0.19767523,0.19200695,0.1898874,0.19337876,0.19962819,0.204572,0.20639044,0.20639963,0.2054137,0.20290224,0.19767599,0.19026756,0.18225871,0.1750422,0.16919424,0.16545393,0.165519,0.17082419,0.18096346,0.19304764,0.20360692,0.21055168,0.21370353,0.21322691,0.208697,0.20002909,0.18967228,0.1820101,0.18149072,0.18949352,0.20595257,0.2285316,0.25440487,0.27762827,0.2939452,0.30146766,0.30369386,0.3040924,0.30482468,0.3050255,0.30437794,0.30335402,0.30327043,0.3039901,0.30477846,0.3048526,0.304962,0.30610365,0.30876443,0.311538,0.31181332,0.30724362,0.29781732,0.2863017,0.27605087,0.26873258,0.26362002,0.25947204,0.25585446,0.25298762,0.25086156,0.24877389,0.24609357,0.2425768,0.23868094,0.2349553,0.23187518,0.22940433,0.22735094,0.22536485,0.22376706,0.2235329,0.22652169,0.23357277,0.2433991,0.2518749,0.25531343,0.25307256,0.24876082,0.24623798,0.24675876,0.24827544,0.24931318,0.25055158,0.253822,0.2588626,0.26301992,0.2639471,0.26177126,0.2588875,0.25656202,0.2541545,0.24960487,0.24282199,0.23564996,0.23133402,0.23145145,0.23563516,0.24144965,0.24666609,0.24989603,0.25140414,0.25174364,0.25155976,0.25083554,0.24977131,0.24846542,0.24730957,0.24627946,0.24527115,0.24382633,0.24182393,0.23934817,0.23694985,0.23481472,0.23279057,0.23018955,0.22676586,0.22270067,0.21882702,0.21580309,0.21406984,0.21358575,0.2141936,0.21572953,0.2179782,0.2206173,0.22310103,0.22517873,0.22697853,0.2291377,0.23150893,0.23275858,0.23021394,0.22325401,0.21406376,0.2073813,0.20460963,0.20321937,0.19808944,0.18809639,0.17693786,0.17173152,0.17705625,0.19218695,0.20976232,0.22065318,0.2186587,0.20503981,0.18630476,0.17066652,0.16381244,0.16780847,0.18106438,0.19928734,0.21772856,0.2330929,0.24458392,0.25246015,0.25718206,0.258962,0.25854337,0.2570789,0.25580576,0.25536916,0.25532547,0.25409198,0.24942394,0.23971479,0.22535819,0.20938526,0.19675763,0.19174214,0.1955014,0.2048577,0.21466541,0.22089414,0.22338955,0.22447717,0.22665401,0.22940306,0.2303139,0.22633748,0.21727335,0.2052489,0.19457334,0.18829785,0.18739648,0.18976545,0.19243819,0.19308038,0.19161934,0.18968177,0.18877888,0.18879847,0.18776698,0.18572913,0.18548179,0.19218044,0.20627277,0.22364242,0.23755509,0.2460639,0.2514468,0.25709864,0.26253286,0.26316556,0.2529137,0.22833335,0.19130011,0.1491562,0.11073465,0.08225944,0.06601902,0.06614476,0.09447319,0.16794467,0.29023907,0.43516442,0.5511758,0.59535724,0.56343365,0.4903294,0.41890064,0.37252283,0.3509344,0.34338415,0.34032285,0.3352226,0.3246813,0.30802706,0.28845504,0.27031687,0.25682262,0.24909283,0.24700372,0.25096294,0.25890097,0.26672712,0.26729727,0.2581673,0.24160899,0.22501314,0.21305583,0.20687406,0.20426065,0.2029596,0.20168775,0.19961898,0.19698085,0.19423974,0.19237524,0.19153869,0.19117247,0.19044727,0.18858516,0.18584126,0.18239288,0.17916255,0.17620601,0.17402671,0.17234147,0.17131144,0.17057538,0.17002039,0.16944611,0.16877307,0.16808204,0.1671431,0.16613968,0.16497464,0.16436319,0.16436668,0.16536677,0.16668476,0.16869414,0.17247151,0.1811912,0.1968798,0.21901645,0.2429744,0.26364407,0.27790573,0.28613535,0.2906423,0.2939292,0.29729304,0.29976615,0.29944834,0.29597163,0.29191312,0.29070702,0.29297796,0.29678497,0.29982227,0.30199516,0.30599758,0.3179514,0.34952807,0.40840268,0.4884026,0.55882543,0.58576393,0.55362064,0.48318747,0.41003677,0.36189285,0.34227112,0.3408666,0.3457981,0.35091296,0.35424933,0.3540902,0.3486507,0.3364466,0.31930152,0.30139956,0.2877821,0.2809908,0.28035733,0.2823264,0.2820599,0.275861,0.26368746,0.24924797,0.2372588,0.22979353,0.22617792,0.22445226,0.22378951,0.2238911,0.22500731,0.22678177,0.22912091,0.23150015,0.23377556,0.23543125,0.23644805,0.23629273,0.23361565,0.22454667,0.20444818,0.17115651,0.12919524,0.0880928,0.057067584,0.039178792,0.031480018,0.028676024,0.027068848,0.025326999,0.023550004,0.022048963,0.020882921,0.01984408,0.01879485,0.017809419,0.017131655,0.01685127,0.016874867,0.017046476,0.017375434,0.017951326,0.01878616,0.01970321,0.020442905,0.020806694,0.020659985,0.019949822,0.019205531,0.02035425,0.027180696,0.0431837,0.06838205,0.09676743,0.119632624,0.13133384,0.1341089,0.13467653,0.13778442,0.14166713,0.14247131,0.14039832,0.14196394,0.15373777,0.17625815,0.20326602,0.2274263,0.24483915,0.25485203,0.25683045,0.24897347,0.23056316,0.20387161,0.17390786,0.1458136,0.12435841,0.11319494,0.11411212,0.12446422,0.1382909,0.14952897,0.15598248,0.15840888,0.1579599,0.15341131,0.14255972,0.12450705,0.10227579,0.08191023,0.07011404,0.070597865,0.0824941,0.100305356,0.116518445,0.124789774,0.12256224,0.111419715,0.095612645,0.080499455,0.07053117,0.06789653,0.071121335,0.07637889,0.07951955,0.079060875,0.07661012,0.07629025,0.08150295,0.092758566,0.10649959,0.11792972,0.12388879,0.12496238,0.1238628,0.12346474,0.12479612,0.12740652,0.13010903,0.13212664,0.13316077,0.13314639,0.13222277,0.13066162,0.12891513,0.1270297,0.12505075,0.1231331,0.121940106,0.12174588,0.12251791,0.12385469,0.12574165,0.12798543,0.13028891,0.13217916,0.1339534,0.13617188,0.1387006,0.13910733,0.13360353,0.11949315,0.09804746,0.074212395,0.053689897,0.039665617,0.031850938,0.028001303,0.025825145,0.024111753,0.022600142,0.02153598,0.021199107,0.021717882,0.022994434,0.024692615,0.026310166,0.027333736,0.02749133,0.026878098,0.025877014,0.02493646,0.024413882,0.024608785,0.025818124,0.028258607,0.031871356,0.036229666,0.040688407,0.04460444,0.047450077,0.048727114,0.048048615,0.04560459,0.04304337,0.043842603,0.051911846,0.068641745,0.09056723,0.11103672,0.12514551,0.1336736,0.14184323,0.1540662,0.17021547,0.18621707,0.19795604,0.20454663,0.20895968,0.21520932,0.22442763,0.23246217,0.23325229,0.22368038,0.20683698,0.18817836,0.17166471,0.15863103,0.15115164,0.15259503,0.16474557,0.18433921,0.20493083,0.2210033,0.23097031,0.23534556,0.23460789,0.22839256,0.21686321,0.20174216,0.18554612,0.17062312,0.15821183,0.14957136,0.14618699,0.14950758,0.15898643,0.17167006,0.18329436,0.19067729,0.19292836,0.19124226,0.18754864,0.18330985,0.1785508,0.17211123,0.16264349,0.15046002,0.1377845,0.12811847,0.123841435,0.12525718,0.1301269,0.13531123,0.13804881,0.13664848,0.13084318,0.12188331,0.1138526,0.11135581,0.11728857,0.12915665,0.1419736,0.1506116,0.15300404,0.14807266,0.13571106,0.11695399,0.09554062,0.07631005,0.063152306,0.057945907,0.06155624,0.07375181,0.09219461,0.11196715,0.12805746,0.13787965,0.14220901,0.14342286,0.14384799,0.14445318,0.14466009,0.143102,0.13923085,0.13398494,0.12871037,0.12374077,0.11877752,0.11415795,0.111295514,0.11137875,0.11457527,0.120115675,0.12719189,0.13464928,0.14036779,0.14075144,0.13227703,0.114005394,0.08927978,0.0644302,0.045082048,0.03345319,0.028170036,0.026620807,0.026702853,0.0275349,0.02879935,0.030348592,0.031940714,0.033411134,0.0346698,0.03573421,0.03663002,0.03742017,0.03818697,0.039012726,0.039858993,0.040463354,0.0403394,0.038976356,0.036327854,0.033788446,0.0350156,0.04573817,0.07063514,0.10927308,0.15342061,0.19067436,0.2112299,0.21428424,0.20657597,0.19661391,0.1876354,0.17781109,0.16385542,0.14742829,0.13566965,0.13835211,0.16019988,0.19724832,0.23853634,0.2732983,0.29541996,0.30270812,0.29381436,0.26863208,0.23101054,0.19041364,0.15847965,0.14371616,0.14681233,0.1607198,0.17542696,0.18376482,0.18480152,0.18153672,0.17806095,0.17723691,0.18126096,0.19089206,0.20417674,0.21570885,0.21886663,0.21018274,0.19150646,0.16877301,0.1473546,0.13034047,0.11897201,0.11471009,0.11802981,0.1267984,0.13656594,0.14327967,0.14543812,0.14347725,0.13851725,0.13222645,0.12663588,0.123306125,0.12088234,0.11624213,0.10706678,0.095819734,0.08871561,0.091636874,0.105373144,0.12462982,0.14206322,0.1526144,0.15616937,0.15535168,0.15296607,0.14964986,0.1441598,0.1344581,0.11975434,0.101649754,0.083993904,0.07100222,0.06578923,0.06934968,0.08056012,0.095966935,0.111105345,0.12237073,0.12879033,0.13150074,0.13234968,0.13268219,0.13334404,0.13475704,0.13713141,0.14037508,0.14391392,0.1459728,0.14365406,0.13457723,0.1191309,0.10124424,0.08622686,0.078415535,0.07901984,0.08656683,0.097041674,0.10690748,0.11431011,0.12034005,0.12588413,0.13066977,0.13326056,0.13359244,0.13316649,0.13353194,0.13470285,0.13518532,0.13339615,0.12924068,0.12385988,0.11919839,0.1157848,0.113528214,0.11141593,0.10913435,0.10556927,0.099244356,0.08866674,0.07460554,0.060487136,0.05113749,0.050470725,0.05934744,0.07521088,0.09277981,0.10684654,0.11457506,0.11660858,0.115876384,0.11530453,0.11647481,0.11885989,0.12108166,0.12163334,0.12018075,0.11703239,0.11293586,0.108349524,0.103666484,0.0991042,0.094805814,0.0907178,0.086673625,0.08241772,0.07750825,0.07145307,0.06392514,0.055414233,0.047257353,0.04127796,0.03866507,0.03918301,0.041474786,0.044192042,0.0477481,0.054091383,0.06523344,0.08067345,0.09715393,0.110701,0.119178586,0.123093925,0.12410244,0.12356601,0.12203797,0.11965504,0.11663719,0.11328152,0.10989592,0.10659496,0.10343811,0.10076302,0.098976076,0.09809918,0.097195335,0.09514069,0.091416605,0.08669705,0.08188209,0.07768161,0.07427025,0.07186041,0.07028046,0.06902256,0.06741857,0.06535357,0.06318206,0.061104756,0.05891824,0.056384478,0.053604346,0.05079991,0.048014104,0.04548794,0.044215947,0.045931716,0.051889945,0.061796557,0.07357424,0.08477173,0.09366769,0.10000043,0.104173206,0.1067754,0.10787031,0.10719708,0.10438522,0.09973043,0.09444981,0.09044685,0.08910042,0.09050294,0.09347221,0.09698129,0.10119704,0.10741406,0.11635586,0.126346,0.13322113,0.13244554,0.12292588,0.1086849,0.09703038,0.09333379,0.09757053,0.105244495,0.111548364,0.11477823,0.11617411,0.11807501,0.1217012,0.12660307,0.13075687,0.13161342,0.12746795,0.11898398,0.10978676,0.104617424,0.106191576,0.11281729,0.11999004,0.12348003,0.12200168,0.11656457,0.109527625,0.103607,0.10179881,0.10627214,0.11703055,0.1313314,0.14458017,0.15268351,0.15391032,0.14996381,0.14460136,0.14164913,0.14257796,0.14637773,0.15043478,0.15255229,0.15172233,0.14836718,0.14343089,0.13749683,0.13009986,0.12012679,0.10694922,0.09124897,0.07478705,0.059498306,0.04671465,0.037024654,0.030189626,0.025490338,0.022136964,0.020014456,0.019647919,0.021629294,0.025808295,0.031204527,0.036499936,0.040594056,0.04272008,0.042464573,0.039961927,0.036361866,0.034065902,0.036333617,0.04660496,0.06629909,0.09354204,0.12246057,0.14730906,0.16567887,0.17999573,0.19325012,0.20593171,0.21616141,0.22369571,0.23134686,0.24266827,0.25647894,0.2663611,0.2641486,0.24855904,0.22638507,0.20871806,0.20024799,0.19764851,0.19301516,0.18298775,0.16982062,0.15982191,0.15852766,0.1686076,0.18681829,0.20381294,0.2082557,0.19539194,0.17242672,0.15517174,0.156289,0.17531113,0.1979767,0.20663954,0.19226454,0.16282368,0.1425337,0.1643275,0.24776351,0.38002446,0.5104839,0.584052,0.57689995,0.513807,0.43942598,0.38650784,0.35972401,0.34946182,0.34603238,0.3464243,0.35017994,0.3562512,0.36204848,0.36523065,0.36504266,0.3626326,0.35987684,0.35831657,0.35820162,0.35926414,0.36091134,0.36322737,0.36587656,0.36823452,0.3691392,0.36839283,0.36693612,0.36593834,0.36561784,0.3648343,0.36294878,0.3602098,0.35784778,0.3560386,0.35439548,0.35258913,0.351657,0.35256648,0.35480413,0.3561732,0.35480526,0.35108712,0.34732544,0.3459189,0.3475846,0.35132062,0.3556144,0.35942253,0.36242256,0.36417475,0.36402333,0.3615315,0.35735086,0.3530974,0.3502822,0.3494034,0.3494397,0.34907714,0.3476453,0.34619173,0.34556428,0.34582135,0.34551752,0.3447132,0.34446073,0.34650508,0.35003376,0.35291383,0.35295042,0.35102272,0.3501086,0.35326222,0.3598697,0.3662665,0.368371,0.3655152,0.35994962,0.35522842,0.35662058,0.37421596,0.420763,0.49881807,0.58731794,0.6463788,0.64419866,0.5829933,0.49620995,0.42153725,0.37488034,0.3509558,0.3366829,0.32603538,0.31841782,0.31659624,0.32016733,0.32772812,0.33571997,0.342043,0.3454583,0.34618905,0.3448595,0.34116495,0.33553615,0.32790673,0.3209126,0.31568885,0.31400156,0.3139592,0.3145955,0.31371978,0.31151024,0.30794683,0.3043024,0.3015314,0.3005555,0.30175474,0.3043825,0.30695546,0.30753514,0.3056063,0.30263278,0.3010973,0.30266127,0.3063085,0.30960748,0.31008777,0.3077606,0.3049522,0.30524355,0.31113616,0.32241,0.33668515,0.35073066,0.36251643,0.37067366,0.37428686,0.37227556,0.36524057,0.3556616,0.34765324,0.34386995,0.34424293,0.3446454,0.33894467,0.321564,0.29198077,0.25630227,0.22507231,0.20760898,0.20716368,0.21995908,0.23793752,0.25311196,0.26144457,0.26333907,0.26222935,0.2606177,0.25982833,0.2599781,0.2629806,0.2722669,0.29486072,0.34045458,0.4160099,0.51290727,0.5998324,0.63680154,0.60338205,0.5171899,0.4199152,0.34743583,0.30953583,0.29593432,0.29252997,0.29197955,0.29292455,0.29519108,0.29850784,0.30209196,0.30713436,0.31431267,0.3247399,0.336318,0.34654805,0.35157967,0.3503257,0.34359774,0.3347266,0.3267579,0.32151762,0.3189489,0.31769285,0.31598076,0.31332263,0.31146857,0.31420735,0.32361856,0.33851004,0.3541532,0.36699095,0.37583253,0.38194072,0.38549912,0.38533723,0.38003996,0.36989716,0.35717002,0.34395382,0.3319677,0.321971,0.31553996,0.31313333,0.31377694,0.3146958,0.31406033,0.3126829,0.31272352,0.3158262,0.32040313,0.3240107,0.32393152,0.32029486,0.31436408,0.30933872,0.3082237,0.3125926,0.3205879,0.32705602,0.3281944,0.32366347,0.31795713,0.31454197,0.3145192,0.31495142,0.3138741,0.31117383,0.30921254,0.30899552,0.30900338,0.3066338,0.30058476,0.29241762,0.28458002,0.28297007,0.29784217,0.34291005,0.42041484,0.510444,0.57328385,0.577474,0.5225604,0.44113746,0.37149766,0.33446184,0.32725278,0.3374084,0.35421452,0.3726273,0.38978836,0.4034355,0.41207874,0.41628942,0.41771212,0.4176619,0.41584072,0.41186634,0.40615463,0.40122095,0.39936772,0.4023559,0.40893853,0.4171691,0.4244751,0.4309536,0.43716505,0.443681,0.44854507,0.44998297,0.44775525,0.44452083,0.4431292,0.4444631,0.44702604,0.44831052,0.44747183,0.44451368,0.4409879,0.43721092,0.43418476,0.43129,0.42858377,0.424933,0.42091438,0.41724077,0.41567674,0.41589496,0.41631877,0.41373524,0.40674117,0.39572477,0.3836218,0.37316844,0.36675712,0.36502758,0.3677884,0.37302807,0.37808084,0.3794211,0.37479916,0.3640505,0.35053107,0.33941364,0.3347021,0.33684877,0.34264338,0.34838375,0.35148883,0.35255173,0.35294172,0.35460827,0.35682067,0.35862687,0.3582592,0.35650417,0.35428798,0.3546276,0.36258307,0.38823295,0.4395459,0.51167053,0.5782446,0.60536295,0.57545567,0.5046217,0.428377,0.37617207,0.3538206,0.3515137,0.35839847,0.3702526,0.385443,0.40034246,0.4102424,0.4134015,0.41199124,0.40972224,0.40847993,0.40844974,0.40867186,0.40850922,0.40737817,0.405467,0.40346965,0.4025015,0.40322354,0.4053769,0.40760645,0.40851414,0.40802816,0.40789744,0.40991363,0.41401172,0.41798985,0.41964734,0.41869047,0.4170507,0.41733146,0.4207319,0.4264365,0.4322002,0.43649957,0.43886653,0.43992206,0.43973246,0.43839478,0.43581176,0.43256202,0.4283707,0.42266485,0.41504064,0.40750375,0.40309405,0.4037156,0.40726888,0.4097365,0.40777925,0.40155563,0.39295742,0.38403025,0.37547255,0.36723432,0.35954964,0.3530226,0.34892163,0.34751105,0.34810424,0.34868917,0.34791037,0.34560975,0.34283957,0.3408855,0.34037498,0.34122202,0.3421298,0.34142187,0.33734453,0.32898295,0.31639048,0.3036239,0.30199358,0.3286034,0.3922931,0.47759438,0.5439019,0.55149966,0.4915872,0.39389658,0.30168107,0.24258925,0.21750332,0.21252368,0.21313913,0.21155114,0.20529847,0.1958596,0.18658446,0.18182476,0.18383451,0.19299234,0.2067724,0.22302388,0.23785697,0.24767864,0.24733369,0.23593414,0.2167107,0.19764449,0.18461685,0.17923217,0.17863528,0.17952806,0.18053888,0.18180126,0.1837318,0.18566781,0.18676658,0.18655956,0.18528832,0.18333583,0.18019849,0.17563416,0.16997461,0.16599226,0.16594376,0.17087787,0.17797355,0.18428902,0.18742315,0.18816848,0.18740654,0.18613762,0.1838754,0.18080556,0.17755191,0.1752498,0.17399965,0.17271459,0.17040712,0.16690475,0.16340809,0.16122042,0.16254361,0.16896234,0.18011262,0.19120939,0.1957659,0.1904292,0.17817456,0.16590913,0.15863788,0.15659676,0.15605015,0.15356743,0.14851247,0.1430806,0.1396944,0.13886012,0.13947916,0.14051932,0.1420244,0.1463964,0.1603694,0.1983762,0.27316472,0.38061604,0.48458457,0.53571945,0.50367,0.4057665,0.2899445,0.20144165,0.15475734,0.14053762,0.14306289,0.1531816,0.16672002,0.1798547,0.18870294,0.19108568,0.18846132,0.18355174,0.17991,0.18001203,0.18662369,0.19911845,0.21373226,0.22282314,0.22230442,0.21353646,0.20344037,0.19714122,0.19501533,0.19346188,0.18867688,0.17996685,0.16915305,0.16021264,0.15589528,0.15705036,0.16175641,0.16772209,0.17313252,0.17701925,0.17826925,0.1762334,0.17146446,0.16602825,0.16193916,0.15974778,0.15865976,0.15742178,0.15571208,0.15357442,0.1517632,0.15053241,0.15033957,0.15094607,0.15232088,0.1537462,0.15443286,0.15322973,0.14936371,0.14328659,0.13737689,0.13685684,0.14537519,0.16202997,0.17813581,0.18527518,0.18013106,0.16848344,0.1577781,0.15291907,0.15321203,0.15544622,0.15652902,0.15544474,0.15352738,0.15206003,0.15099569,0.14835593,0.14373828,0.1387528,0.13675871,0.1393583,0.14800905,0.16430223,0.19036435,0.22417897,0.25932539,0.28780785,0.30572566,0.3143847,0.3176364,0.31883004,0.31939903,0.3200505,0.32067975,0.32133028,0.32125035,0.32028183,0.3182118,0.31601027,0.31416705,0.31311455,0.31215042,0.31129754,0.31103757,0.31265935,0.31620562,0.3206134,0.3240665,0.32582518,0.32624653,0.32621872,0.32593432,0.32495454,0.32260752,0.3190126,0.31481156,0.3113207,0.30927193,0.30914497,0.31027925,0.3121532,0.31398007,0.31580567,0.31729355,0.31800234,0.316813,0.31319547,0.30767095,0.30196613,0.29809892,0.29704916,0.29837355,0.30038583,0.3016757,0.30168283,0.30087104,0.29956284,0.29770264,0.29483876,0.29110175,0.28724995,0.28466734,0.28421572,0.28577638,0.28781965,0.2888693,0.28827274,0.28716382,0.2864802,0.28666106,0.2864072,0.28521454,0.28302428,0.28140736,0.28111687,0.28239647,0.28411818,0.2854016,0.2857748,0.28516805,0.28278506,0.27640447,0.26428714,0.24703532,0.22910011,0.21521027,0.20764439,0.20429449,0.20163603,0.19721834,0.19110072,0.18488413,0.18000585,0.17673652,0.17398773,0.17014134,0.16427422,0.15654571,0.14865927,0.14274006,0.14097835,0.14389981,0.1503849,0.15779413,0.16389675,0.1676193,0.16896276,0.16784345,0.16399582,0.1573466,0.14862287,0.13888419,0.12937759,0.12111948,0.11493168,0.11091573,0.1085593,0.10703281,0.10581792,0.104744025,0.103730954,0.1026394,0.101395406,0.10027168,0.09958259,0.099373974,0.09909528,0.098222636,0.09710326,0.09765897,0.10275161,0.11396947,0.12995791,0.14634311,0.15912117,0.16671936,0.17066528,0.1723634,0.17177731,0.16736336,0.15853335,0.14681447,0.13504486,0.12612331,0.121471696,0.12247676,0.12977187,0.14352171,0.16071858,0.17665619,0.18660335,0.18943338,0.18757212,0.18500626,0.18451434,0.18645756,0.18977554,0.19245279,0.19175945,0.18411487,0.16808735,0.14719503,0.13076587,0.12786782,0.14195113,0.16794491,0.19750828,0.2230521,0.24054527,0.24794275,0.24531953,0.2355635,0.22445601,0.21848516,0.22064798,0.22923003,0.23872828,0.2447022,0.24551015,0.24286337,0.23894762,0.2355231,0.2335047,0.2333712,0.23520088,0.23825218,0.24157496,0.24406849,0.24507959,0.24410772,0.24108206,0.23634748,0.23042174,0.22386481,0.21683468,0.2097158,0.20280214,0.19697325,0.19304024,0.19194861,0.19356526,0.19681215,0.19966584,0.20058669,0.19865589,0.19393481,0.18694235,0.17896836,0.17166996,0.16638415,0.16362365,0.1627392,0.16297668,0.16343592,0.16379458,0.16367708,0.16334945,0.163756,0.16658086,0.17293139,0.18183832,0.19030754,0.19510426,0.1955334,0.19368519,0.19294019,0.19495197,0.19929558,0.20406164,0.20773007,0.20945986,0.20923726,0.2077251,0.20576502,0.20401268,0.20196317,0.1988126,0.19389266,0.18826282,0.18388958,0.18278563,0.18475302,0.1875213,0.18785156,0.18394595,0.1761473,0.16639484,0.15640648,0.14684163,0.13791044,0.13097495,0.12845643,0.13141726,0.13754708,0.1423434,0.14276874,0.138977,0.13297196,0.1261826,0.11898591,0.11152291,0.10420332,0.09740237,0.09137401,0.08669376,0.08442656,0.085396074,0.08913668,0.09359631,0.0960654,0.094732754,0.08953778,0.08183935,0.07310314,0.06428113,0.055769894,0.047957156,0.04092693,0.034537006,0.02892618,0.025645837,0.027482769,0.03639938,0.05122763,0.06715409,0.07835323,0.08100525,0.074962445,0.062722966,0.04772793,0.033054758,0.020817267,0.012045476,0.0066149957,0.0037589998,0.0024805078,0.002022451,0.0018731118,0.001760495,0.0015608851,0.0012770563,0.0009801282,0.0007431313,0.0005968893,0.00053426943,0.0005336706,0.000626096,0.0012264354,0.0039721443,0.011694561,0.026845777,0.047390416,0.06636626,0.075027786,0.07116654,0.060162697,0.05123437,0.048167318,0.04981632,0.054794252,0.069163404,0.100750856,0.15137666,0.2093171,0.25907865,0.2905002,0.30530563,0.3086796,0.3062628,0.3052952,0.32245246,0.37361678,0.456843,0.53735256,0.5701895,0.53242344,0.44628,0.35583535,0.2953193,0.26859912,0.26202032,0.26132712,0.26102218,0.2607557,0.26061726,0.26041356,0.2604359,0.26255977,0.26798078,0.27682427,0.28713605,0.2974185,0.3060445,0.31255588,0.31600967,0.31701478,0.31655458,0.31652883,0.31734577,0.31857815,0.31902233,0.31845942,0.3173025,0.31646612,0.31608686,0.31626096,0.31691137,0.3182987,0.31919837,0.31719884,0.31010103,0.29918945,0.2896855,0.28738916,0.29442605,0.3073313,0.32047662,0.3295708,0.33340517,0.33121887,0.32075548,0.29930308,0.26769534,0.23289149,0.20463018,0.18916436,0.18420742,0.1814741,0.17198016,0.15218663,0.12616412,0.10622084,0.10978005,0.14931653,0.22281377,0.30920517,0.38245988,0.42534974,0.43987086,0.43795916,0.4329444,0.4310818,0.4340317,0.43970218,0.4456793,0.44953498,0.4513459,0.45284948,0.45623395,0.4614562,0.4667773,0.4725932,0.48506784,0.51420856,0.56257915,0.615322,0.64288497,0.62190175,0.5549132,0.47061655,0.40204704,0.36536452,0.35609612,0.36123776,0.37031648,0.37849578,0.38354146,0.3852909,0.3849536,0.38510326,0.38620225,0.3864534,0.38276163,0.3743745,0.36228633,0.3474238,0.3288674,0.3066686,0.28421906,0.26736924,0.25988445,0.26007643,0.26203185,0.25852433,0.24602829,0.22536494,0.20259489,0.18329167,0.17140023,0.1660166,0.16484405,0.16325611,0.15767863,0.1472172,0.13777113,0.1388083,0.15703921,0.18947111,0.22596271,0.2558059,0.27426744,0.28113768,0.27760983,0.26382068,0.24125533,0.21426867,0.19046932,0.17647344,0.1747908,0.18061894,0.18468304,0.17741676,0.15685298,0.1313936,0.11824715,0.13241608,0.17745411,0.24098112,0.3039528,0.35127708,0.37963617,0.39382076,0.40084425,0.40541598,0.41003644,0.41583493,0.42211655,0.4263853,0.4260601,0.42127982,0.4151703,0.4109628,0.40869877,0.40684012,0.4072601,0.42026642,0.456651,0.514602,0.5674528,0.5797141,0.5322373,0.44451487,0.35803938,0.30834818,0.30093256,0.31885028,0.3396118,0.34974208,0.34627888,0.3331463,0.31771383,0.30659238,0.30313492,0.30518195,0.3083901,0.3085252,0.3048527,0.29700467,0.2854083,0.269392,0.25137177,0.23480268,0.2233613,0.21582203,0.20664467,0.18894954,0.16025366,0.12494535,0.091280095,0.06650833,0.053507242,0.051909536,0.05923903,0.072186835,0.08721057,0.10328257,0.12223077,0.14773965,0.18093503,0.21898337,0.25368765,0.27448472,0.27194914,0.24413048,0.19928533,0.15285285,0.11939437,0.104565084,0.104085855,0.1083196,0.1106605,0.11211187,0.12074462,0.14450304,0.18528742,0.23657864,0.28855014,0.3320305,0.36153615,0.37338948,0.3653699,0.33720085,0.29324812,0.24320841,0.1980087,0.16434509,0.14241211,0.13228422,0.13840893,0.1683837,0.22104597,0.28172985,0.3268294,0.34033144,0.32160154,0.2838082,0.24513485,0.22693092,0.25098386,0.32709172,0.43494377,0.525722,0.55349445,0.51154846,0.43619514,0.3749927,0.35190138,0.35999656,0.37946153,0.39566973,0.40533197,0.409717,0.41124725,0.41032898,0.40871814,0.40738115,0.40741786,0.40807888,0.40816423,0.40620402,0.40040532,0.39051548,0.3776321,0.36487725,0.35344097,0.3422359,0.3283964,0.3108203,0.29148427,0.27422687,0.26193234,0.2538667,0.24655038,0.23684196,0.22485705,0.21320365,0.20415087,0.19829498,0.19583999,0.19750662,0.20353098,0.21159565,0.2180052,0.2201281,0.21877451,0.21621859,0.21389566,0.21081251,0.20593299,0.19994922,0.19595385,0.19637716,0.2011192,0.20689332,0.21036285,0.2100677,0.20736575,0.20469363,0.20538814,0.214202,0.23725863,0.27803513,0.3328891,0.39034164,0.43815395,0.47022736,0.48973846,0.5030475,0.5147951,0.5250127,0.5329887,0.5387189,0.54318017,0.5457082,0.5452049,0.54169255,0.53770214,0.53565884,0.5372351,0.54456973,0.5634382,0.5974317,0.639404,0.6645065,0.64649767,0.57742,0.48170754,0.39596355,0.34625018,0.33259794,0.34168807,0.35939193,0.37842438,0.39471865,0.4060414,0.41220665,0.41584527,0.42013013,0.4266065,0.4336413,0.4375442,0.43289754,0.41492918,0.38178846,0.3379281,0.2928145,0.25652692,0.23401636,0.22416995,0.22213942,0.22328876,0.22435917,0.22386461,0.22100818,0.2162664,0.21088524,0.20685928,0.20491695,0.20382814,0.20111728,0.19558364,0.18921213,0.18553233,0.18708146,0.1929034,0.2004043,0.20747752,0.21412437,0.22095586,0.22791313,0.23399591,0.23862515,0.24226995,0.24642342,0.25187984,0.25731996,0.25871822,0.25155595,0.23459834,0.21148556,0.19013017,0.17932379,0.18828245,0.22269154,0.28142393,0.35149097,0.4144477,0.45574132,0.4738827,0.47693482,0.47496068,0.47355056,0.47342813,0.4732637,0.4717736,0.4697394,0.468997,0.4712877,0.47590092,0.48044768,0.48311302,0.48598847,0.49620947,0.52238107,0.5662668,0.6145223,0.6412227,0.624002,0.56246096,0.4807868,0.41040814,0.36959842,0.357107,0.36144045,0.37229645,0.3839688,0.39345837,0.39797282,0.3965386,0.39027035,0.38162306,0.3720777,0.36182013,0.3510901,0.33922768,0.3247113,0.30435172,0.27776682,0.24712019,0.21764706,0.19260234,0.17373788,0.1595244,0.14854048,0.13997388,0.13575326,0.1377986,0.14553855,0.15516676,0.16227627,0.16512062,0.16468489,0.16343212,0.16330989,0.16495724,0.16753273,0.16930242,0.16934781,0.16830523,0.16812511,0.16988446,0.17274396,0.17444481,0.17339419,0.16975486,0.16483909,0.15991019,0.15569638,0.152824,0.1519634,0.15315713,0.154924,0.15493488,0.1528125,0.1537618,0.16688389,0.19909419,0.24698329,0.29819056,0.3389906,0.36348125,0.37432668,0.37742004,0.37753907,0.37690935,0.37772056,0.38179505,0.39054275,0.40336236,0.4180936,0.4312758,0.43860587,0.4352863,0.42001757,0.400167,0.39547205,0.42508864,0.48994482,0.5583299,0.5864245,0.54816145,0.45985714,0.36225656,0.2918248,0.2575465,0.24858129,0.24965668,0.25275543,0.25630844,0.26067546,0.26558417,0.2699124,0.27294502,0.27440763,0.2751231,0.2750797,0.27291787,0.26269558,0.23866296,0.19838183,0.15031902,0.10761582,0.08147726,0.071145535,0.06813242,0.06386603,0.057366982,0.052496046,0.05212264,0.055021554,0.060089976,0.070688955,0.09386625,0.13297904,0.18121357,0.22404794,0.24856119,0.2528762,0.24437623,0.23264225,0.22237502,0.2146341,0.20898992,0.2045046,0.19828933,0.18839942,0.17776807,0.17644136,0.19446719,0.23540266,0.29100406,0.34800696,0.39238408,0.41609523,0.41427767,0.3878851,0.3424851,0.29205778,0.25139838,0.23034965,0.22452648,0.222956,0.21511348,0.20101534,0.18579239,0.17491531,0.16867854,0.16556604,0.16489601,0.16777511,0.17442824,0.1829725,0.19049299,0.19542962,0.19796108,0.19990398,0.20628981,0.22856784,0.2819583,0.3719577,0.47913298,0.56159395,0.58195454,0.5367765,0.45917034,0.39151564,0.35638842,0.34971246,0.3563712,0.36438093,0.37139407,0.37795362,0.3854477,0.39219156,0.39719832,0.40003815,0.4017382,0.40364218,0.40472603,0.40176427,0.3881553,0.35984075,0.31802103,0.27173546,0.23212104,0.20704144,0.19666475,0.19518815,0.19538222,0.19387007,0.19206564,0.19288506,0.1965773,0.20035575,0.20142329,0.19936253,0.19600236,0.1933582,0.19303457,0.19575387,0.20160542,0.20908289,0.21573149,0.21930285,0.21933024,0.21693754,0.2134132,0.20942348,0.20533091,0.20247485,0.20257719,0.20615165,0.21080995,0.21238732,0.20811994,0.19928992,0.19074433,0.18771048,0.19357969,0.21090418,0.24250065,0.28968808,0.34726715,0.40365663,0.4470111,0.47365102,0.4886117,0.49974298,0.51142675,0.52400684,0.5363824,0.5478492,0.55763024,0.5644843,0.5670356,0.56478506,0.5582126,0.5485918,0.5372798,0.5248184,0.50994706,0.48958007,0.46152544,0.42685887,0.3912938,0.36130786,0.3411301,0.32976267,0.32377553,0.31953013,0.3163365,0.31487992,0.31605634,0.318902,0.3219758,0.32402337,0.32532763,0.32637936,0.32762668,0.32834673,0.32825264,0.32764667,0.32809636,0.33025375,0.33324605,0.33492002,0.3341335,0.33181632,0.3297081,0.32861483,0.3275018,0.32530642,0.3219119,0.31849644,0.31610298,0.31506625,0.3148965,0.31459478,0.31328472,0.31038252,0.30620718,0.30147305,0.29756323,0.29594252,0.29806247,0.30378684,0.3109258,0.31555697,0.31502044,0.3095086,0.30236316,0.29680645,0.29451373,0.29479575,0.29684985,0.29981682,0.3032931,0.30599737,0.3066831,0.304262,0.29904518,0.29216036,0.28521797,0.2793587,0.2751381,0.27262983,0.2714412,0.27100277,0.27059656,0.26992822,0.26882026,0.26730064,0.26530108,0.26305056,0.26108405,0.26029137,0.26216117,0.26852435,0.28077683,0.2977396,0.31547758,0.32854128,0.3336455,0.3303268,0.32093656,0.30755815,0.29207313,0.2752134,0.258412,0.24352384,0.23336981,0.23042654,0.2353092,0.24566805,0.25626233,0.26185188,0.25989863,0.2523086,0.24378538,0.23908848,0.24054897,0.2471708,0.255523,0.26187366,0.2645464,0.2645584,0.2641709,0.26491368,0.2669067,0.2695408,0.27215326,0.27410698,0.27471492,0.27360034,0.27109745,0.26797494,0.2645329,0.25988886,0.25282052,0.24319105,0.2328747,0.22437842,0.21904755,0.21610141,0.21374963,0.21077073,0.20716338,0.20379539,0.20137654,0.2000132,0.19888693,0.19676258,0.1928106,0.1872822,0.18139233,0.1762913,0.1725322,0.1699481,0.1681454,0.1666388,0.16499525,0.16281646,0.15984236,0.15615028,0.15224303,0.1488062,0.14613788,0.14405137,0.14229147,0.14089458,0.13991891,0.13888113,0.13685293,0.13304172,0.1275992,0.12162476,0.116639294,0.11357964,0.11235821,0.11213809,0.11203768,0.11159631,0.11057654,0.10873213,0.10570162,0.101477146,0.09662143,0.09213471,0.088802494,0.08679842,0.08573538,0.084970586,0.08391104,0.08219269,0.07984998,0.07722045,0.07464088,0.07212696,0.06929252,0.06559221,0.06066164,0.054609526,0.04796714,0.041359443,0.035197716,0.029665083,0.02501139,0.021689191,0.020244576]