[0.028241213,0.037323073,0.05517338,0.072369345,0.08228292,0.08325476,0.07914578,0.07422224,0.0717442,0.07244379,0.075805575,0.080284536,0.08428917,0.08711043,0.08887071,0.090096675,0.090565346,0.089740604,0.086984575,0.08238329,0.076618604,0.071091175,0.06743165,0.06663397,0.06830019,0.0706154,0.071693085,0.07058388,0.06794239,0.06532375,0.06472563,0.06710728,0.071851976,0.076348655,0.07814604,0.07636419,0.07258638,0.068974614,0.06699148,0.06652098,0.06668375,0.0663137,0.064871676,0.06253848,0.060403403,0.059291884,0.05931424,0.059412826,0.058627144,0.05649126,0.053818524,0.052113052,0.053699646,0.06000334,0.070559144,0.081886284,0.09003621,0.092770524,0.09132028,0.08833951,0.08622811,0.085698195,0.08630162,0.08682817,0.08644667,0.08583792,0.087243855,0.0926643,0.101377465,0.11010281,0.11541188,0.11635419,0.115017205,0.11536325,0.122305654,0.13850893,0.16231625,0.18590909,0.20085369,0.20265424,0.19414873,0.18111491,0.16856883,0.15813494,0.14902419,0.1390873,0.12689617,0.11369001,0.104147166,0.10288844,0.110510774,0.121902585,0.13056903,0.13288385,0.13012408,0.1257918,0.12320149,0.12361956,0.12650454,0.12990184,0.13183749,0.13131776,0.12863247,0.12477767,0.12056374,0.116434,0.11221683,0.107494265,0.10203624,0.09651366,0.09249125,0.091168135,0.09240982,0.094477035,0.09569064,0.09526839,0.09368066,0.091525085,0.08928078,0.087136485,0.08529792,0.083838485,0.082877584,0.08271172,0.08373057,0.08579642,0.087912746,0.08862207,0.08698297,0.08324852,0.079010986,0.076773345,0.07889354,0.08604866,0.096271396,0.10582808,0.11158588,0.11304256,0.112375945,0.11292707,0.11697956,0.124487616,0.13269855,0.13837115,0.13993782,0.13944042,0.14004363,0.1437534,0.14887492,0.1522342,0.15073855,0.14444916,0.13661224,0.13401993,0.14217909,0.16146089,0.18378358,0.19891363,0.20062937,0.19200997,0.18109141,0.17601956,0.17984581,0.19037013,0.20156968,0.20784615,0.20689267,0.20057964,0.19160385,0.18129952,0.16885293,0.15396905,0.13735794,0.12138458,0.109497875,0.10780412,0.12234199,0.15471418,0.19687666,0.23529749,0.25891948,0.2670022,0.26696602,0.26810777,0.27396557,0.28145933,0.28360775,0.2765087,0.26159802,0.2445938,0.22963041,0.21726538,0.20552264,0.19345689,0.18201864,0.17257749,0.16514029,0.15871103,0.15271546,0.14770186,0.14385433,0.14021234,0.13503182,0.12797306,0.12033173,0.11413064,0.11014173,0.10780659,0.10588085,0.10358554,0.100738764,0.09764028,0.094676726,0.09213974,0.09031865,0.08941171,0.08955357,0.09033463,0.091343045,0.09267966,0.095133334,0.09914767,0.10353822,0.106296085,0.10582814,0.10305952,0.101031534,0.10448358,0.116860926,0.13807179,0.16304083,0.18504576,0.20016427,0.20951463,0.21636935,0.22220069,0.22556639,0.2243585,0.21790479,0.20786309,0.19729526,0.19062339,0.19076909,0.19779605,0.20667253,0.21166296,0.20926516,0.20157854,0.1929598,0.18753184,0.18671922,0.18988548,0.1949874,0.1988774,0.19835436,0.19090639,0.17671736,0.15822227,0.13962828,0.123946674,0.11211774,0.10370652,0.100423545,0.10850555,0.13415878,0.17677774,0.22352786,0.25778773,0.26919293,0.2610906,0.24411236,0.2281477,0.21701069,0.20975673,0.20403028,0.19812088,0.19216704,0.18707675,0.18339224,0.18004878,0.17529283,0.16816713,0.15921344,0.14964737,0.14028108,0.13175908,0.12481197,0.120265536,0.11781318,0.11641076,0.11472998,0.11247885,0.109847635,0.107371844,0.105224274,0.103453495,0.10173696,0.099774815,0.09742999,0.09525601,0.093920164,0.09381307,0.09430035,0.09450338,0.09370052,0.0921058,0.090302914,0.08932805,0.08998238,0.092767626,0.096909784,0.100796916,0.1024808,0.101218246,0.097623505,0.09339171,0.089975536,0.087949716,0.08745665,0.089697115,0.097438365,0.11381805,0.14047992,0.17864518,0.22809248,0.28543887,0.33919537,0.37601626,0.38935506,0.38721192,0.38448486,0.39221036,0.4115415,0.43481,0.45004746,0.44289768,0.40659186,0.34691083,0.2860296,0.24671406,0.24291801,0.26903668,0.31019005,0.34797195,0.3733267,0.38460228,0.38638797,0.38068128,0.3681319,0.34988394,0.33268347,0.32457492,0.329247,0.3407478,0.34703872,0.33830106,0.31343392,0.28016993,0.24845022,0.22544985,0.21291839,0.20858787,0.20747215,0.20483367,0.1986311,0.19048268,0.18342559,0.17900145,0.17623192,0.17313272,0.1684136,0.16195421,0.1539239,0.14455064,0.13428803,0.12422541,0.115397334,0.10813444,0.101950504,0.09640942,0.091677494,0.088462085,0.08721647,0.08778602,0.08926329,0.09069388,0.091495596,0.09198467,0.09266471,0.09376269,0.09463938,0.094622254,0.09330537,0.091036834,0.08832788,0.086133,0.08526627,0.08626523,0.08824245,0.08959242,0.08869783,0.085554056,0.08150365,0.07873098,0.07873306,0.08166466,0.08601568,0.08972206,0.09251841,0.098549835,0.116826385,0.1548919,0.21008985,0.26549637,0.3006518,0.30751956,0.2982311,0.29341757,0.30514595,0.32831916,0.35020396,0.36186746,0.3640041,0.3594664,0.34864116,0.32963064,0.30597523,0.28638017,0.27740562,0.27607563,0.27384344,0.26912007,0.26947698,0.28461257,0.31282866,0.3440641,0.36736938,0.37972212,0.38354602,0.381976,0.37715873,0.3699726,0.36242196,0.35643515,0.3542968,0.35607585,0.35927007,0.36046827,0.3590953,0.35787496,0.35846734,0.35657677,0.3446708,0.31881487,0.28440627,0.25147063,0.22777607,0.21394163,0.20650835,0.2017595,0.19813538,0.19548084,0.19404869,0.19385935,0.1945392,0.1954649,0.19597916,0.19573925,0.19473775,0.19334044,0.19186276,0.19049402,0.1889015,0.18667902,0.18327273,0.17861569,0.17288315,0.16688217,0.16137922,0.15699206,0.15359257,0.15078057,0.14817978,0.14573994,0.14346658,0.14104968,0.13810974,0.13441671,0.13030525,0.12621607,0.12253282,0.11923816,0.11622583,0.1132996,0.11035082,0.10727704,0.106167644,0.113194406,0.13995506,0.1941629,0.27094832,0.34619245,0.3924626,0.39568558,0.36849058,0.3377118,0.32477447,0.33015445,0.33714083,0.32981694,0.30650175,0.2775997,0.25266376,0.23192911,0.21439733,0.2044999,0.21277153,0.24291098,0.28674832,0.3285646,0.35589767,0.36501706,0.35748252,0.33707333,0.30961743,0.28741238,0.28650618,0.31796357,0.3771192,0.44469973,0.4988571,0.5276864,0.5327692,0.5222437,0.50500566,0.48614857,0.46611598,0.44101432,0.40559995,0.36045456,0.31371874,0.28078485,0.27380195,0.29514012,0.33198574,0.3636757,0.37193418,0.35085618,0.30772007,0.2565609,0.21047579,0.1760757,0.15401608,0.14110227,0.13396178,0.1297615,0.12672672,0.12349292,0.11959741,0.1150128,0.11014377,0.10497436,0.09950882,0.09364923,0.087950766,0.08320261,0.080344334,0.079684876,0.08081993,0.0829058,0.08556255,0.089048944,0.093745925,0.09876301,0.102326654,0.10270169,0.1003637,0.09749934,0.09702387,0.10006177,0.105516724,0.11042639,0.11199293,0.10993145,0.107716866,0.111948706,0.12763692,0.15504129,0.1879527,0.21860962,0.23977782,0.25016654,0.25407183,0.26455915,0.29331437,0.34350947,0.40101764,0.44551218,0.46218166,0.4527527,0.43034676,0.40912798,0.39458427,0.38207808,0.3635544,0.33527017,0.30157793,0.27157494,0.253035,0.24935949,0.2581154,0.27357125,0.28685656,0.2931334,0.2948341,0.3034409,0.32726952,0.3612055,0.38548565,0.3806183,0.34278646,0.28570852,0.22931993,0.18651266,0.16000728,0.14586623,0.1390876,0.13536797,0.13201272,0.12789707,0.1237354,0.12091074,0.11998433,0.11983364,0.11853867,0.11504518,0.10995086,0.104670525,0.0999367,0.09530603,0.0899559,0.08392352,0.07967336,0.08235454,0.09931141,0.13457857,0.1849733,0.2373764,0.27533156,0.2855592,0.26573396,0.22644328,0.18933564,0.17639147,0.19484173,0.22885986,0.24925132,0.2352804,0.19005817,0.13494623,0.09149029,0.06749647,0.058075335,0.05469942,0.052005578,0.048844386,0.045432363,0.04227316,0.039219886,0.036489483,0.03409655,0.032351505,0.031321798,0.031014169,0.0312062,0.03156988,0.031887576,0.031913016,0.03157876,0.030895604,0.03035072,0.03065647,0.03268793,0.036679287,0.04204261,0.04726419,0.051082134,0.052831624,0.05286165,0.051942036,0.051913884,0.05496134,0.06252465,0.073350444,0.08455092,0.09365374,0.1005511,0.10640687,0.112369835,0.12131528,0.14085437,0.18503046,0.26212525,0.36303177,0.45617366,0.51061755,0.5170563,0.49378476,0.46545783,0.44672808,0.44263804,0.45806265,0.49747142,0.55375624,0.60223746,0.6127458,0.5707996,0.49414477,0.42204103,0.39092228,0.40872762,0.45730534,0.5115409,0.55935055,0.59963083,0.6258238,0.620379,0.56953937,0.48738828,0.41340673,0.38671947,0.41517666,0.47503853,0.5348193,0.5790966,0.60893106,0.6212687,0.6015365,0.53416413,0.42862448,0.3162469,0.23205781,0.18772106,0.1776642,0.19404574,0.24175365,0.32375422,0.42478085,0.50841856,0.5441817,0.53030187,0.49173355,0.45500812,0.43255627,0.428414,0.4479711,0.4947331,0.55766493,0.6081811,0.61514384,0.5672832,0.48672792,0.4161725,0.39152965,0.41763368,0.47228992,0.5283174,0.57230115,0.6029696,0.6149058,0.5961584,0.5395251,0.46241045,0.39927712,0.3808562,0.40955612,0.46446577,0.52010876,0.564353,0.5956488,0.60881096,0.5920064,0.53689444,0.45558086,0.37403402,0.31643865,0.28763214,0.2815579,0.29407707,0.33101678,0.39472568,0.47019294,0.5279474,0.5451091,0.52421355,0.48570812,0.4504186,0.42690444,0.41968822,0.4347218,0.47615767,0.5344528,0.5829665,0.5925998,0.55299205,0.4876386,0.4377788,0.43512574,0.4771084,0.5379855,0.59121424,0.62854105,0.6500736,0.64837235,0.6074255,0.52298325,0.4228094,0.3531314,0.34723863,0.39738882,0.46873868,0.528371,0.5680186,0.5925023,0.598551,0.5696326,0.4947064,0.38891056,0.28604218,0.2151799,0.181637,0.17773765,0.20028196,0.25618556,0.34485456,0.44244537,0.5109689,0.5254784,0.493614,0.4438056,0.40360773,0.3876303,0.40257093,0.45001984,0.5201245,0.5884371,0.62240773,0.60137177,0.5308314,0.44561717,0.38852987,0.38498244,0.42655793,0.48574948,0.5378242,0.5757,0.5984621,0.5991912,0.56607634,0.50043064,0.42767775,0.38271618,0.38515282,0.42393574,0.4729682,0.51254743,0.54143363,0.56294125,0.5705405,0.5482133,0.48892996,0.40727317,0.33006963,0.27676508,0.24945904,0.24419256,0.26374808,0.31578556,0.39559945,0.47617507,0.523166,0.5208709,0.48373282,0.4399636,0.41000125,0.4013996,0.41671178,0.45817545,0.5183763,0.5753862,0.5988526,0.5708783,0.500776,0.42414033,0.38087618,0.39083734,0.44265437,0.50892776,0.5664911,0.60852766,0.63079876,0.62199074,0.5676198,0.47469178,0.3791881,0.32616404,0.33628264,0.3929856,0.4631703,0.52326214,0.5694493,0.60078835,0.6069427,0.5714306,0.4926839,0.3913819,0.2991564,0.23631251,0.20607609,0.20480245,0.23636794,0.30618823,0.4050667,0.49861827,0.54866743,0.54081553,0.49561492,0.44524786,0.40964234,0.3932942,0.3986132,0.43208143,0.49184212,0.55721456,0.59321946,0.5745128,0.5068235,0.4266386,0.37704265,0.37800345,0.41850105,0.4731988,0.5248247,0.5695757,0.602031,0.60677433,0.5674844,0.4913932,0.4115924,0.36700407,0.37203422,0.41219398,0.46227896,0.50826174,0.54860336,0.57820123,0.5802644,0.5372648,0.45370546,0.3572985,0.28073448,0.23605263,0.21686469,0.2151779,0.23986916,0.30364445,0.40178418,0.4991345,0.5562596,0.5583115,0.5252578,0.48665825,0.46027407,0.44997394,0.45847237,0.4898099,0.53951836,0.5860767,0.59988666,0.56391984,0.49271047,0.42521214,0.3996285,0.42509472,0.48185453,0.5418659,0.59113497,0.62838143,0.6477337,0.6326105,0.5707134,0.47925806,0.4009386,0.3770173,0.4136246,0.4834198,0.55063933,0.59828204,0.6275851,0.63811034,0.6183357,0.55620885,0.46177578,0.3635671,0.29079536,0.25086394,0.23779573,0.24714278,0.28752878,0.3635491,0.4586669,0.5342538,0.55857307,0.5315239,0.48143563,0.43772832,0.41232345,0.40640068,0.42345428,0.4685932,0.5343545,0.5929107,0.61014813,0.569769,0.49202028,0.41940728,0.38923392,0.40636554,0.45151845,0.50089365,0.5449129,0.582,0.6065934,0.6065628,0.5746746,0.5225773,0.4756372,0.4570383,0.4698274,0.49830183,0.5200288,0.5198397,0.49439585,0.44854522,0.3911703,0.33326748,0.28842077,0.269776,0.28078255,0.3102336,0.33847174,0.3573531,0.37870923,0.4212002,0.4845251,0.54357576,0.5701044,0.5581045,0.52568215,0.49579492,0.48037192,0.4811333,0.49797928,0.530137,0.56939477,0.5949804,0.58392096,0.52913165,0.45411348,0.399099,0.39503217,0.4391469,0.50530076,0.56619817,0.61243635,0.64250904,0.6474595,0.6109946,0.5299873,0.4332235,0.36633837,0.36183503,0.4126264,0.48691964,0.55316377,0.6010694,0.6294343,0.63107157,0.5908355,0.5045675,0.3935083,0.2921575,0.22518647,0.19302149,0.18675433,0.20500207,0.25707355,0.34248868,0.4371818,0.5038381,0.52088785,0.49767753,0.46083793,0.43134585,0.41785678,0.42578265,0.46196327,0.52465487,0.59566694,0.64448446,0.64835185,0.6063815,0.5428096,0.48868978,0.46468243,0.46964797,0.4924797,0.5229561,0.5580251,0.5911176,0.6071149,0.58971304,0.5379922,0.47413972,0.42891702,0.42147943,0.44649205,0.48505852,0.5202654,0.5473076,0.5654858,0.5693624,0.5496437,0.5057904,0.45210364,0.4082907,0.38377586,0.37454438,0.37409976,0.38559374,0.4167978,0.46676025,0.51647156,0.54241395,0.53416306,0.5034551,0.4704359,0.4497136,0.44510117,0.45704314,0.4859738,0.528709,0.5712808,0.59072715,0.56932473,0.5123064,0.45094585,0.42135295,0.43852845,0.4861947,0.5378239,0.5773652,0.6069576,0.62645227,0.6236567,0.581362,0.50406414,0.42422906,0.38133225,0.39046136,0.43291894,0.47871336,0.5120243,0.5372588,0.5589536,0.56578416,0.53712684,0.46683416,0.37461197,0.2915963,0.23629345,0.20862682,0.2043783,0.23031855,0.29580617,0.3918767,0.48267758,0.5289032,0.51842195,0.473339,0.42598245,0.3948575,0.38382503,0.39533556,0.43468788,0.4981195,0.562774,0.59433454,0.5704231,0.50127953,0.42531678,0.38298807,0.38796005,0.42353168,0.4634583,0.49454948,0.5202765,0.54383767,0.557311,0.5468712,0.5118673,0.4696729,0.44379997,0.44379342,0.4612153,0.48149022,0.49913326,0.51804394,0.5389308,0.5503567,0.5371011,0.49707898,0.4461784,0.405308,0.38318622,0.37575975,0.37769887,0.3941001,0.432925,0.49049398,0.5439527,0.5675468,0.5535149,0.5168938,0.4791261,0.45124328,0.43564868,0.43622163,0.46102938,0.51017404,0.5650274,0.5955501,0.5814217,0.531166,0.474895,0.44257498,0.4427351,0.46533823,0.49618122,0.52927226,0.56290644,0.58916277,0.59248805,0.56256086,0.50914794,0.45861587,0.4347817,0.44167495,0.46662286,0.49614772,0.5259574,0.55481833,0.5718772,0.5581248,0.5026177,0.41995284,0.34225175,0.2972007,0.28734007,0.29960158,0.32332215,0.36411464,0.4286712,0.50749856,0.57067823,0.5922263,0.5720336,0.5339535,0.5019349,0.48288938,0.47392836,0.47646984,0.4986001,0.5407268,0.5853688,0.6048389,0.5825061,0.5284882,0.4723396,0.44167042,0.4433409,0.46654797,0.49691936,0.52885675,0.56075233,0.5848754,0.5859606,0.55459523,0.5015491,0.45222327,0.42891064,0.43287945,0.4508805,0.46864215,0.48492435,0.50269866,0.5177806,0.51259565,0.47258708,0.4027951,0.32818365,0.27468714,0.25148705,0.25609556,0.28651643,0.34791636,0.43633553,0.52927834,0.59182966,0.6034964,0.57140815,0.5212364,0.474883,0.44258276,0.4296769,0.44441712,0.48925018,0.549838,0.59203565,0.58378214,0.5187455,0.42998362,0.36715412,0.3644841,0.41627404,0.49149156,0.56006867,0.61143917,0.64421767,0.6492462,0.61114556,0.52765894,0.4284893,0.35911718,0.35169265,0.39945164,0.47190034,0.5390484,0.5908386,0.6246157,0.63083154,0.59248126,0.5051367,0.39092693,0.28602746,0.21662103,0.18452077,0.18156277,0.20648599,0.26784015,0.36390623,0.4684504,0.5416358,0.56001145,0.53366286,0.49232578,0.4593586,0.44352305,0.44796994,0.47946694,0.537189,0.60459477,0.64893216,0.64441353,0.5879802,0.50680554,0.43794283,0.40762755,0.41569027,0.44729125,0.48767433,0.53135586,0.5711511,0.5901203,0.56954676,0.5092952,0.4379736,0.39373913,0.39745942,0.43821606,0.49048448,0.53526187,0.57002574,0.5958825,0.6055332,0.5842293,0.52474207,0.43903288,0.35302594,0.29231545,0.26649094,0.27116728,0.29420173,0.32787538,0.36634967,0.4039984,0.4318564,0.4443549,0.44189548,0.43066847,0.41592756,0.4006478,0.38443708,0.36718333,0.34802735,0.32806206,0.3086623,0.2920039,0.27785286,0.26447654,0.24997662,0.23504615,0.22224571,0.21428551,0.21175568,0.2134235,0.21670954,0.21964554,0.22126691,0.22171803,0.2209753,0.21945532,0.2195313,0.22647326,0.24367507,0.26824227,0.28918862,0.29649878,0.28725448,0.26845643,0.24877083,0.23411648,0.22541781,0.22227658,0.22369336,0.2287656,0.23587562,0.24371044,0.250914,0.25596845,0.256675,0.25125575,0.23984294,0.22537984,0.21290644,0.20732398,0.21024232,0.21873425,0.22659059,0.22931392,0.22728632,0.22677171,0.2365803,0.26431277,0.31092998,0.36821488,0.42003942,0.45162237,0.45709133,0.4428589,0.42020848,0.39864543,0.3812282,0.36843148,0.36133972,0.3630079,0.37399018,0.3896365,0.40094325,0.40059623,0.38720956,0.36626938,0.34516314,0.32902673,0.31794658,0.3095969,0.30193257,0.29535308,0.29357257,0.300874,0.32007363,0.346205,0.36968958,0.37923446,0.3715209,0.35024107,0.32486373,0.30379844,0.2930237,0.2931801,0.30019912,0.30574706,0.30285648,0.28938413,0.2694934,0.24900055,0.23176669,0.21843189,0.20840992,0.20140861,0.19702518,0.1941321,0.19137083,0.18859863,0.18720387,0.18846093,0.19206303,0.19588782,0.1975451,0.19547455,0.18956657,0.18086444,0.17093135,0.16088618,0.1511489,0.14222257,0.13596323,0.13510329,0.14147031,0.1536309,0.16738488,0.177498,0.18082173,0.17691569,0.1685772,0.15965195,0.15403922,0.15274729,0.15433967,0.15498386,0.15170957,0.14337969,0.13185376,0.12014368,0.11125973,0.10731008,0.11136907,0.12774502,0.16024087,0.2062399,0.25591666,0.29553762,0.3170527,0.3193114,0.30874026,0.29322302,0.2849548,0.29204115,0.3169803,0.34922078,0.37818885,0.39727303,0.40910533,0.41425267,0.4107572,0.39546183,0.37155747,0.34797466,0.33410266,0.3346624,0.34664094,0.36432362,0.3809221,0.39314678,0.39795586,0.39540327,0.387071,0.3778855,0.3722653,0.37241593,0.37687027,0.38147902,0.3826623,0.37930265,0.37405172,0.36953703,0.36643276,0.3624085,0.35555685,0.34565464,0.33455983,0.32372868,0.3135921,0.30295622,0.29136488,0.27973092,0.27098015,0.26665813,0.26605546,0.26593566,0.26465788,0.26206887,0.25948238,0.25613725,0.25141343,0.24496104,0.23861103,0.23348887,0.23035896,0.22926755,0.23057075,0.2336265,0.2365948,0.23761678,0.23648268,0.23503365,0.2353702,0.23811667,0.241094,0.23983012,0.23087323,0.21520479,0.2012523,0.19943787,0.21560933,0.24347854,0.26910928,0.2797384,0.2732097,0.2573571,0.24199712,0.23182642,0.22490902,0.2186537,0.21330805,0.21236755,0.21769045,0.22794704,0.23967184,0.2502394,0.25882173,0.26465097,0.2671794,0.26592728,0.26316175,0.2613405,0.26196536,0.26226518,0.25934574,0.25230578,0.24526407,0.24282108,0.24811804,0.260397,0.2778373,0.2980818,0.31930488,0.33899224,0.35478476,0.36503807,0.3697053,0.36913013,0.3635244,0.35296836,0.33882532,0.32370326,0.31051028,0.30081785,0.29436895,0.28950605,0.28454065,0.2788727,0.27347434,0.26956475,0.2671167,0.26364437,0.25565314,0.24071307,0.2197761,0.19651389,0.17518955,0.1578926,0.1442308,0.13268314,0.1224384,0.113529444,0.10616874,0.099983275,0.09450484,0.089604475,0.08574142,0.083386175,0.08260285,0.08298318,0.08391858,0.0849778,0.08589577,0.0865897,0.08694055,0.08692291,0.08653744,0.08598573,0.08555684,0.085568696,0.08609536,0.0869596,0.08791546,0.08893892,0.09021297,0.09193527,0.094069004,0.09633756,0.09828343,0.099421054,0.09948515,0.09861306,0.09750084,0.09701086,0.09777719,0.09971384,0.102250285,0.10474277,0.10703277,0.10954801,0.113057554,0.11820654,0.12497955,0.13279234,0.14074881,0.14834297,0.15532796,0.1617984,0.16782002,0.17365165,0.17946416,0.18545961,0.19174212,0.19856818,0.20600514,0.21381588,0.22127302,0.2278065,0.23330666,0.23806332,0.24192512,0.24408202,0.2438883,0.24212682,0.24113889,0.24294151,0.24743612,0.25408897,0.2672259,0.29881087,0.35958183,0.4446381,0.5282345,0.58012414,0.5876891,0.56251955,0.52704996,0.49841514,0.4854814,0.49260744,0.52021074,0.5593284,0.5893188,0.588092,0.5469228,0.4823667,0.42579505,0.4048306,0.4232769,0.46563873,0.51114964,0.5500023,0.58031064,0.5984673,0.5939777,0.56004024,0.5067007,0.4600998,0.4450284,0.46659604,0.50900203,0.55180687,0.58422536,0.6050201,0.60937977,0.5877176,0.53720075,0.47456333,0.4258603,0.40502575,0.40387294,0.40638113,0.409878,0.42707023,0.46836886,0.5222077,0.5614932,0.56616974,0.5419976,0.5087899,0.4813411,0.46207455,0.45314452,0.46372107,0.49876222,0.5488779,0.58882564,0.5981838,0.5722237,0.5286758,0.4913664,0.4786303,0.4908967,0.51779324,0.54683363,0.57224303,0.59089583,0.595809,0.5781602,0.53738207,0.48998216,0.45908776,0.45907655,0.4836764,0.51631194,0.5429974,0.5617721,0.5749038,0.57970595,0.56692433,0.5301196,0.4748113,0.41375324,0.35758582,0.30891863,0.27145836,0.25665078,0.28044176,0.34586844,0.43324247,0.5086706,0.54751796,0.5484063,0.52790385,0.5036207,0.48669598,0.482783,0.49735752,0.5297165,0.5692918,0.5925498,0.57915545,0.52605826,0.45792532,0.40891492,0.4005516,0.42611519,0.4649198,0.50228363,0.53888124,0.575857,0.5993673,0.58586234,0.527253,0.44853207,0.39193586,0.3849835,0.41950905,0.46776214,0.5078111,0.5382289,0.56246203,0.5727144,0.5502296,0.4865571,0.39731303,0.31116855,0.24831392,0.21053214,0.19524129,0.20853691,0.26214948,0.35266134,0.4509996,0.51774716,0.5319538,0.50401,0.46023116,0.42141375,0.39818776,0.3985097,0.430662,0.49050784,0.55507725,0.58740586,0.562916,0.48815498,0.40505517,0.3609048,0.3781916,0.43866745,0.50851303,0.56380856,0.603565,0.628403,0.6280253,0.5865366,0.5087834,0.42861173,0.38735044,0.4029646,0.45735228,0.5193705,0.56775945,0.6015628,0.61997145,0.6125416,0.5629855,0.47329855,0.36788484,0.2783997,0.22051002,0.19282484,0.19374907,0.23049541,0.30934083,0.41514376,0.51396966,0.57243156,0.58299667,0.5611689,0.5309319,0.5063506,0.49477282,0.4996431,0.5243506,0.5620288,0.5954787,0.6010384,0.5664858,0.50060505,0.43322408,0.39565396,0.40152463,0.4389502,0.48548523,0.5253809,0.5559136,0.5752046,0.5743322,0.543264,0.48745537,0.43090606,0.40106082,0.40824637,0.44113684,0.4812778,0.51890653,0.55534244,0.58870786,0.60723656,0.59518474,0.5519745,0.49298945,0.4392154,0.3982679,0.36830258,0.34900108,0.35332593,0.39365742,0.46354043,0.5311859,0.563973,0.5539742,0.52055043,0.48668608,0.46205923,0.44827878,0.45131418,0.48021722,0.53174263,0.5842769,0.6085217,0.5899089,0.53946894,0.4859964,0.45520195,0.45414808,0.47347417,0.50069356,0.5311013,0.56416255,0.59254694,0.600265,0.5752359,0.52577955,0.47759524,0.4554682,0.4637996,0.48946777,0.51692516,0.5420835,0.56749296,0.5898254,0.5943571,0.56618476,0.5062572,0.43184757,0.36304083,0.3078098,0.26705834,0.24685965,0.26382512,0.32825246,0.42623404,0.52087325,0.57833695,0.59156585,0.5780142,0.5591479,0.5449579,0.5385898,0.54439145,0.5673721,0.6025098,0.62913156,0.6213042,0.56762165,0.48705685,0.41915622,0.3983482,0.42905977,0.48871112,0.54980713,0.5993188,0.63580364,0.6522452,0.6330851,0.57033,0.4845101,0.41614497,0.39756942,0.42736638,0.4786383,0.5253449,0.5605131,0.5882477,0.60300684,0.5873093,0.5276162,0.43636492,0.3437574,0.27800256,0.24453038,0.23657434,0.24993448,0.29248634,0.36796618,0.46060517,0.537097,0.57114506,0.5630555,0.53316927,0.50099814,0.47591174,0.46441627,0.47733888,0.51814234,0.57275194,0.60753363,0.5941607,0.5289375,0.44431865,0.3845245,0.3786707,0.41889966,0.476213,0.52355224,0.5536091,0.5684676,0.56491584,0.5339582,0.47641492,0.41571665,0.38291296,0.39386758,0.43440923,0.47635666,0.49690923,0.49074066,0.46379086,0.42473316,0.38040182,0.33665708,0.3011187,0.2826996,0.28529534,0.30277884,0.32259122,0.34076893,0.3678193,0.41627702,0.48043263,0.5358282,0.5606577,0.5538276,0.53103113,0.50698465,0.48955747,0.48346356,0.49688253,0.5314259,0.5754989,0.6015777,0.5864905,0.52841866,0.45564744,0.40527382,0.398787,0.4280226,0.47130394,0.51393574,0.5556013,0.59459347,0.6141353,0.59141976,0.5232075,0.44060692,0.38837537,0.39223787,0.43953538,0.49899757,0.5469568,0.58148247,0.6054922,0.6111538,0.58161926,0.5119448,0.42070794,0.33698353,0.27910545,0.24658544,0.23506552,0.24960218,0.3015932,0.38824677,0.48206925,0.5452382,0.5577149,0.5303775,0.48989263,0.4575372,0.4416115,0.44558683,0.4720749,0.5170518,0.56400067,0.5887811,0.57552457,0.5292969,0.47445717,0.43803498,0.4324005,0.45158425,0.48235464,0.516258,0.55142087,0.5834308,0.60097337,0.59248114,0.560034,0.5215184,0.49849257,0.4996043,0.5170884,0.53784347,0.55543274,0.5720728,0.58745724,0.59348303,0.5779856,0.5401014,0.4916087,0.44971558,0.42238018,0.40980956,0.4113647,0.43203172,0.47483268,0.5305354,0.5770634,0.59366894,0.57721394,0.5425112,0.50897866,0.48646155,0.4765414,0.47988406,0.50024146,0.53616863,0.57263577,0.5843866,0.55368656,0.48918507,0.42365417,0.39086184,0.40002298,0.43360198,0.46941578,0.500613,0.5348057,0.5705703,0.5877004,0.56074923,0.49076042,0.4103823,0.36150256,0.36078474,0.3940531,0.4362916,0.47574052,0.5147746,0.55093306,0.5663471,0.5393266,0.46995768,0.38320172,0.31126913,0.2682306,0.25236535,0.25942293,0.2961965,0.36667573,0.4578921,0.5352196,0.5682991,0.55164415,0.5076799,0.4627082,0.43207386,0.42046642,0.43305787,0.47333255,0.5339232,0.58979374,0.61092144,0.581783,0.5177747,0.45507476,0.4270247,0.43961343,0.47385296,0.50569797,0.5271743,0.54485244,0.56283945,0.5709822,0.5550941,0.5164328,0.4757342,0.45643875,0.4643227,0.48727524,0.5099028,0.5280749,0.5454137,0.56083876,0.56204516,0.53505284,0.47987267,0.41345727,0.36000526,0.33508918,0.34239328,0.37584233,0.42777207,0.48780766,0.54291457,0.5779076,0.5865721,0.5764161,0.5628419,0.5541425,0.5477483,0.54012537,0.53689796,0.5486588,0.5760954,0.60181975,0.60061044,0.5599697,0.49358317,0.43142045,0.39834657,0.3986045,0.4213331,0.4559817,0.49935818,0.5483115,0.5867185,0.5905691,0.5472619,0.47555056,0.41520512,0.3993424,0.4291019,0.48135343,0.5316765,0.572402,0.60460407,0.62125087,0.6047313,0.5431782,0.4493723,0.3531694,0.28197455,0.24272788,0.23121762,0.24484913,0.2888235,0.36210144,0.4466474,0.51209456,0.5373556,0.52529854,0.49705088,0.47281173,0.46156344,0.46425942,0.4820765,0.514212,0.55224687,0.57766265,0.5731842,0.5359845,0.48355022,0.44146392,0.42646074,0.4365057,0.45910874,0.48411655,0.5100687,0.53573567,0.55056036,0.53786623,0.49160862,0.43014812,0.38689673,0.38641444,0.42607415,0.48312593,0.53500724,0.5718024,0.59206384,0.59183097,0.5663232,0.51679933,0.4566516,0.4017545,0.36476454,0.35007915,0.36056283,0.3944582,0.44663295,0.50340897,0.5491813,0.5708459,0.56741184,0.5481153,0.5260444,0.5084261,0.49726632,0.49417138,0.50373226,0.52689916,0.5542507,0.56581265,0.5450173,0.4938695,0.4372835,0.4060006,0.4152139,0.45501247,0.5046616,0.54983664,0.5880224,0.6154161,0.6173193,0.5774646,0.49900267,0.4140623,0.3632398,0.367458,0.41388902,0.4742756,0.5271034,0.5676718,0.59379,0.59521765,0.55770004,0.48250553,0.39272237,0.31966722,0.28029606,0.27222908,0.2870256,0.3245406,0.38868478,0.4713204,0.54587406,0.58359003,0.5767098,0.54278845,0.5065892,0.48096856,0.4682981,0.47103894,0.49603638,0.54097104,0.5871306,0.60482234,0.5771144,0.51373273,0.44753775,0.40975106,0.41073942,0.43755147,0.47172236,0.50334525,0.5325865,0.55746907,0.56856126,0.5560332,0.5229246,0.48646024,0.46549216,0.46658337,0.4830828,0.5055373,0.53021973,0.55756164,0.58359736,0.5970028,0.58520293,0.5449314,0.48566827,0.42441812,0.3773611,0.3545324,0.35960522,0.39077556,0.4406983,0.49523005,0.535763,0.5487974,0.53474444,0.5067613,0.4794316,0.46013334,0.4519719,0.45935306,0.48701146,0.5311765,0.573576,0.5895726,0.56394315,0.50670636,0.44749618,0.41666982,0.4243156,0.4584476,0.5011878,0.5417324,0.57800436,0.6010978,0.59501165,0.54742265,0.4723853,0.40549532,0.38159814,0.407306,0.46200323,0.5193188,0.56631726,0.6026387,0.6230088,0.6129675,0.5600116,0.47392094,0.3824993,0.313382,0.2734923,0.25631037,0.2573994,0.2862182,0.3503265,0.43846238,0.5167262,0.5552948,0.5508262,0.5260176,0.5041258,0.4927276,0.48933753,0.49516425,0.5159726,0.5506015,0.58320737,0.59178334,0.5645928,0.51277995,0.46285608,0.43902683,0.445966,0.47101513,0.49807003,0.5205014,0.53913736,0.55085325,0.54475236,0.51197666,0.46086335,0.41523767,0.3979505,0.4122703,0.44361854,0.4748111,0.49977756,0.5208132,0.5369255,0.539481,0.5191044,0.47675857,0.42317903,0.37374762,0.33957687,0.32923576,0.34609106,0.39024293,0.45178708,0.51374346,0.5559127,0.5689359,0.5581818,0.53860873,0.5207784,0.5071541,0.49824676,0.49982253,0.5182987,0.5499595,0.57580525,0.573018,0.5328895,0.47236106,0.42243576,0.40726092,0.4275758,0.46753964,0.5110755,0.5525138,0.5891831,0.60882854,0.5926007,0.5337706,0.45476845,0.39533687,0.38493013,0.42112553,0.47923484,0.534996,0.57874084,0.6082816,0.6146884,0.5845154,0.5137325,0.4217538,0.3385832,0.28610578,0.26389334,0.2632791,0.2816703,0.32761297,0.4028097,0.48904833,0.55416614,0.5768637,0.5618561,0.5303453,0.4994447,0.47608528,0.4648122,0.47536352,0.51140046,0.5613808,0.59603244,0.5902455,0.5403106,0.47408774,0.4295863,0.43081638,0.4690266,0.517838,0.5548151,0.57662815,0.58737105,0.58450323,0.5589438,0.5110936,0.46077338,0.434302,0.44353548,0.47717014,0.51438266,0.5425995,0.561541,0.57285887,0.57028514,0.5444556,0.49526405,0.4368364,0.38799393,0.360142,0.35365638,0.3647221,0.39057708,0.430807,0.4801793,0.526403,0.55343014,0.5544815,0.5362915,0.5128627,0.4932426,0.4805456,0.47747877,0.49005428,0.5194831,0.55511266,0.57496196,0.5614419,0.51549274,0.46009222,0.42301857,0.41877317,0.44053504,0.47386226,0.5096254,0.5476069,0.5826666,0.5980639,0.57483286,0.5141009,0.4452459,0.4068891,0.41858062,0.46733412,0.5253659,0.5716898,0.60246754,0.6167203,0.6068444,0.5627547,0.4892678,0.4107257,0.35409442,0.3302455,0.32935914,0.33984187,0.3606684,0.39977932,0.4559445,0.51153296,0.5436562,0.5430505,0.51949245,0.48937201,0.46252823,0.4433345,0.43758643,0.45409635,0.4928389,0.53877896,0.5665057,0.5589517,0.52034974,0.4743788,0.4470804,0.44953927,0.4750873,0.5101053,0.5465812,0.58279514,0.613707,0.6267036,0.60952693,0.5663504,0.5181831,0.48911452,0.4863061,0.4997288,0.5154081,0.5300918,0.54666924,0.5598007,0.5497776,0.49927804,0.41526,0.3322549,0.2876947,0.29478893,0.3361313,0.38242206,0.4140446,0.4287033,0.43435812,0.43842864,0.4434359,0.44811463,0.45101357,0.45197582,0.45168206,0.45037815,0.44633958,0.43630287,0.41768488,0.3922492,0.36643255,0.34735534,0.33761987,0.33466396,0.33464447,0.3354679,0.33582017,0.33235988,0.32049587,0.29787162,0.2671436,0.23467796,0.20684193,0.18761505,0.17801245,0.17727907,0.18299997,0.1916831,0.19953202,0.2041431,0.20528549,0.20404138,0.20174384,0.19911979,0.19695427,0.19566657,0.19520505,0.19432169,0.19155838,0.18609262,0.17851897,0.170421,0.16365291,0.15961362,0.15874739,0.16033858,0.16252029,0.16289568,0.15951711,0.1521767,0.14268674,0.13390286,0.12779133,0.124503165,0.123145916,0.123214215,0.12504275,0.12878574,0.13353823,0.13755435,0.13941832,0.13889523,0.13673095,0.13408096,0.13179894,0.1303653,0.12966202,0.12933601,0.12902953,0.12891547,0.1292746,0.12959965,0.12772392,0.12043825,0.105845116,0.08532254,0.06370028,0.046247672,0.035961587,0.03211831,0.03225006,0.03546075,0.04710135,0.08021911,0.14945042,0.2565304,0.3806258,0.48635685,0.5474615,0.5626889,0.55017734,0.52869684,0.50865227,0.49606356,0.4991189,0.5224509,0.55850357,0.58303183,0.5713751,0.51635844,0.4422833,0.38676646,0.37741756,0.41071758,0.46394777,0.5141975,0.5536632,0.5826451,0.5974533,0.58868456,0.5527844,0.504062,0.46824813,0.46509835,0.49287257,0.5342906,0.57146627,0.5983286,0.6133868,0.6109554,0.58127564,0.5261612,0.46474433,0.4203848,0.4003196,0.39258087,0.38498417,0.38181028,0.40101472,0.45122468,0.5163749,0.56464046,0.5750656,0.5530284,0.51892275,0.48772585,0.46507344,0.4562149,0.4722192,0.51454353,0.56826323,0.60374576,0.6023732,0.56596327,0.51781183,0.481335,0.46910915,0.47820774,0.50074774,0.5301923,0.56215316,0.5891478,0.59851557,0.5802774,0.53682977,0.4872112,0.45479777,0.45264098,0.47505426,0.5072883,0.53718185,0.56212395,0.5813205,0.5901893,0.5798593,0.54791474,0.50173026,0.45388106,0.41057125,0.37060907,0.33488545,0.31537136,0.32943022,0.38114962,0.4512945,0.5081312,0.5319111,0.5261517,0.5088804,0.49459264,0.4890448,0.49361822,0.5117218,0.5433859,0.5784295,0.59512615,0.5747895,0.5190183,0.45465347,0.41589233,0.4200866,0.45797738,0.50801384,0.5553358,0.59665,0.6268837,0.63042235,0.59177595,0.5176835,0.4424657,0.40499118,0.41971672,0.46866283,0.52390236,0.5693972,0.60528547,0.62841415,0.62317246,0.57108575,0.4751948,0.36444685,0.27464873,0.22234763,0.20194732,0.20388387,0.23228985,0.29742786,0.39402953,0.4897971,0.54658633,0.54956216,0.5167967,0.47702917,0.44807568,0.43575516,0.44587943,0.4855112,0.5493249,0.61129636,0.63500637,0.5995648,0.51824284,0.4336351,0.3879266,0.39610037,0.43992075,0.49288893,0.53954554,0.5804994,0.6112039,0.61554605,0.5760841,0.5003198,0.42383978,0.38706493,0.40445232,0.4567058,0.5136775,0.55720454,0.5870895,0.6018136,0.5903369,0.5389911,0.45395455,0.36145818,0.29123488,0.25422576,0.24481517,0.25693637,0.2946144,0.36270913,0.44997624,0.52972007,0.5766856,0.5868295,0.5741802,0.55645794,0.5413475,0.5304015,0.5262928,0.5350395,0.55785936,0.5827736,0.5887913,0.5604805,0.5053811,0.4512279,0.42743984,0.4428071,0.48294666,0.5269592,0.5634355,0.59188986,0.6079497,0.5989021,0.5539929,0.4837346,0.41853622,0.38875654,0.40140724,0.4399934,0.48329577,0.522749,0.56100726,0.59564316,0.6140688,0.6026271,0.56487083,0.51711005,0.47650567,0.4450399,0.4196738,0.40264642,0.40914166,0.4497644,0.51436967,0.5711174,0.5910069,0.57125574,0.5319528,0.49454403,0.4662206,0.4483609,0.44671416,0.46984792,0.51465815,0.56207234,0.5872639,0.5787711,0.546617,0.51459545,0.5018279,0.5111013,0.5322483,0.5559681,0.58061475,0.6058719,0.620181,0.6050529,0.5531617,0.48490736,0.43548426,0.42850494,0.4576746,0.49989524,0.53686637,0.5674932,0.5964957,0.619961,0.6218348,0.58863777,0.52395135,0.44683075,0.37595686,0.31769857,0.27257708,0.24865033,0.26334813,0.32528293,0.4170469,0.5001326,0.54312253,0.5429494,0.5202945,0.49677682,0.48293912,0.48192784,0.49856627,0.5345852,0.58191276,0.61749786,0.61883634,0.57795185,0.5151206,0.46332607,0.44940293,0.47377113,0.51918054,0.5664904,0.60824233,0.6415424,0.6564436,0.6374462,0.5801561,0.50543976,0.4483873,0.43354318,0.45776176,0.5001461,0.5427971,0.58074254,0.61254245,0.62700516,0.6081107,0.55134696,0.4756774,0.40932655,0.37058127,0.3572875,0.36101857,0.38021412,0.42158863,0.4842663,0.5490649,0.5879395,0.5858465,0.5534508,0.514275,0.48479545,0.46912715,0.46821907,0.48889264,0.5322705,0.5853947,0.6182589,0.6083849,0.55640614,0.49274728,0.45152798,0.44966254,0.47636375,0.5122711,0.545608,0.57745934,0.60765034,0.6259356,0.61744803,0.57930934,0.52797866,0.4882393,0.47519264,0.4849008,0.501226,0.5066274,0.49106073,0.45433405,0.4067442,0.36457753,0.34145144,0.33979455,0.35032925,0.36023498,0.36347428,0.36491585,0.37785125,0.4133041,0.47062364,0.53256536,0.5770449,0.5917611,0.58281153,0.56550413,0.55168873,0.54466844,0.5438607,0.550456,0.56552607,0.58387166,0.59175736,0.57494986,0.5322867,0.48122773,0.4466056,0.4434674,0.4669906,0.5030802,0.5405357,0.5771567,0.6074787,0.6168713,0.58899724,0.52656704,0.45790127,0.41887817,0.4266571,0.4688767,0.5209835,0.5660104,0.6017993,0.6258959,0.62670445,0.5886328,0.5120901,0.41790757,0.33477774,0.27831128,0.24863386,0.2427259,0.2668392,0.32922396,0.4218146,0.5127647,0.56546843,0.5666299,0.5349048,0.5017807,0.48702407,0.4926761,0.51231915,0.541055,0.5736254,0.60026246,0.60718656,0.58638674,0.5446858,0.50172496,0.47722924,0.47759184,0.49549624,0.5201021,0.54620594,0.5724468,0.5918341,0.5900804,0.5566576,0.49977437,0.4452801,0.41852984,0.42599353,0.4548463,0.48995504,0.52537745,0.56219083,0.5924925,0.5996504,0.5700179,0.5125595,0.4523882,0.41296527,0.398013,0.3985101,0.4075638,0.42954126,0.46983108,0.5218379,0.56447214,0.57834077,0.5612399,0.5285189,0.49801373,0.47848547,0.4721994,0.48210678,0.5116765,0.55575615,0.5948858,0.6039372,0.56961364,0.50531685,0.44351563,0.4152013,0.42770848,0.46668783,0.5118609,0.5541492,0.59225553,0.61919236,0.6174145,0.5740945,0.5016179,0.43525276,0.40953037,0.43225762,0.48533383,0.54382575,0.5940828,0.63258094,0.6526057,0.64241725,0.59494996,0.52374715,0.45389792,0.4069464,0.38422313,0.37816015,0.38464245,0.41144192,0.46312276,0.5270842,0.5745373,0.58276814,0.5550902,0.51421887,0.4814663,0.4621854,0.45585212,0.46663812,0.50127214,0.5541537,0.599928,0.60820746,0.5664136,0.49566555,0.43516073,0.41588855,0.43887946,0.48422804,0.5307185,0.5706007,0.60324377,0.62249666,0.6153706,0.57543707,0.51676214,0.4674604,0.45028558,0.4662815,0.50041157,0.5372276,0.57131904,0.6010371,0.6172568,0.6050381,0.55731136,0.48822343,0.42264673,0.37880424,0.35491824,0.34060952,0.32975128,0.32706013,0.33923197,0.3656521,0.39665797,0.4202725,0.43111315,0.43232217,0.43090573,0.4300129,0.42722714,0.41809487,0.4027343,0.38566193,0.37244168,0.36356875,0.35562563,0.34352067,0.3258004,0.30465218,0.28575292,0.27358308,0.2695725,0.27099088,0.27461985,0.2783077,0.28121808,0.28192255,0.27882448,0.27154818,0.26169598,0.2517036,0.24325389,0.23669209,0.23135109,0.22652452,0.22254236,0.2216007,0.22646315,0.2378658,0.25225616,0.2635853,0.26703128,0.26198003,0.2509341,0.23715824,0.22331764,0.21185035,0.20499937,0.20358424,0.20628925,0.21033996,0.21397932,0.21752642,0.22401665,0.2369708,0.26043478,0.29533526,0.3394446,0.3828313,0.41211283,0.41315988,0.38332853,0.3339831,0.2902232,0.27355614,0.29052532,0.3264188,0.36035216,0.3780385,0.38085508,0.3763777,0.36988604,0.3584402,0.33892858,0.31445667,0.29462358,0.28464636,0.28020105,0.27399337,0.26795492,0.27257967,0.29461595,0.32615706,0.35012922,0.3518375,0.32870662,0.2900456,0.2532627,0.2361737,0.2470804,0.28050813,0.31972086,0.34930217,0.36177242,0.35957256,0.34825984,0.33276522,0.3161854,0.30080736,0.28850713,0.27921665,0.2719245,0.2651912,0.25876153,0.25246066,0.2463602,0.24075054,0.23675792,0.23544304,0.2370701,0.2412851,0.24820106,0.25825045,0.2712686,0.28532612,0.29811844,0.30786118,0.31473738,0.31955647,0.32363856,0.3276322,0.3320123,0.3367231,0.34152183,0.3459514,0.34919167,0.35002014,0.34737256,0.34204233,0.33742216,0.33771172,0.34469315,0.35626125,0.36820373,0.3769754,0.38084522,0.38039765,0.3783181,0.37933636,0.38745955,0.40390977,0.42623365,0.45059943,0.47345206,0.49167648,0.50179434,0.50009084,0.4857374,0.46265924,0.4400513,0.4269133,0.4283456,0.4427851,0.46570483,0.49218193,0.5189989,0.5426018,0.55824405,0.5608174,0.5490995,0.5279025,0.5065122,0.49263036,0.4884081,0.49039802,0.49358988,0.4946762,0.49327078,0.49039602,0.48704827,0.48245025,0.47500512,0.4622341,0.44499573,0.42909905,0.42798448,0.4522389,0.5000274,0.5507788,0.5809212,0.57969755,0.55593795,0.5254938,0.500057,0.48539686,0.48626944,0.50641584,0.5414831,0.5746183,0.5839321,0.5585188,0.5099694,0.46401164,0.44224414,0.44736493,0.46889964,0.4954648,0.5236106,0.5521586,0.5741218,0.57630664,0.5500803,0.50379103,0.45980024,0.4404476,0.4509972,0.4810507,0.5153168,0.545701,0.5690706,0.5800045,0.5712127,0.5420718,0.50545377,0.47681022,0.46170232,0.45152318,0.43851474,0.42701825,0.43331376,0.4670601,0.5175244,0.5561132,0.5599515,0.53072304,0.48992157,0.4583335,0.44259393,0.44287157,0.46087196,0.49828067,0.5458471,0.5831364,0.5902538,0.5626206,0.5148016,0.4698992,0.4451075,0.44380072,0.4599637,0.48695493,0.52081186,0.5568116,0.582963,0.585473,0.5581305,0.51386553,0.47555164,0.4628191,0.47603893,0.5029201,0.5292971,0.55194014,0.5725663,0.5888305,0.5895353,0.5651484,0.51882225,0.46458817,0.41559398,0.37446943,0.34143373,0.3233614,0.3361102,0.3859867,0.458212,0.51942825,0.54431385,0.5317449,0.50304806,0.47993577,0.47181997,0.4778403,0.4971689,0.5309625,0.57364494,0.6072424,0.6099917,0.57482654,0.51994544,0.47547725,0.4626516,0.4795704,0.51300734,0.55170363,0.5936696,0.6335378,0.6548148,0.6371868,0.5775663,0.5018222,0.44786003,0.43876633,0.46641526,0.5066312,0.5416749,0.5704558,0.5955618,0.6061576,0.5822046,0.51345044,0.4175056,0.32614085,0.26367322,0.23119517,0.22223063,0.23815386,0.29059374,0.37977925,0.4803667,0.5528646,0.5732703,0.5505577,0.5125336,0.48228553,0.46827412,0.4738175,0.5034554,0.55554336,0.6123163,0.64218336,0.6208474,0.5509133,0.46680918,0.410627,0.4060508,0.4431366,0.49674663,0.5469045,0.5901502,0.6237206,0.6333961,0.6005774,0.5266099,0.44525245,0.4001601,0.41315684,0.4670627,0.529064,0.57563454,0.6059399,0.622134,0.61658543,0.57317543,0.49006796,0.3887879,0.30154762,0.24829917,0.22865711,0.23544388,0.26738808,0.3269472,0.4052626,0.477914,0.5197249,0.52399045,0.5053002,0.48356652,0.46935675,0.46459988,0.47111523,0.4936916,0.5314479,0.5713174,0.59101504,0.5742318,0.5246499,0.46648785,0.4287424,0.42583588,0.45107964,0.4878106,0.5233548,0.55391043,0.5753436,0.5777931,0.55090994,0.49835566,0.44135985,0.40558103,0.4022392,0.42248523,0.4507284,0.47893205,0.50899225,0.5395883,0.561091,0.5611781,0.5413689,0.515538,0.49996182,0.49624804,0.49621058,0.49263456,0.4921467,0.5061256,0.53552264,0.56225115,0.56464463,0.5379675,0.49898008,0.46777475,0.45120695,0.44430706,0.44495425,0.45936477,0.49273404,0.53591853,0.5664769,0.56545496,0.5341738,0.49365112,0.4665666,0.46175936,0.47354457,0.4945217,0.5223153,0.55644387,0.5874803,0.5982806,0.5759054,0.52788115,0.47925255,0.4555354,0.46321464,0.49006653,0.51922756,0.5426274,0.56020236,0.5688801,0.55993587,0.5271821,0.47930387,0.43455458,0.4065311,0.3919742,0.38050604,0.3686751,0.36997405,0.39818874,0.45186853,0.5049134,0.5309084,0.5212797,0.49219203,0.4629252,0.4440184,0.4374536,0.44714054,0.47813717,0.5273819,0.5761163,0.59862787,0.57908154,0.52744156,0.47091484,0.43641424,0.4306457,0.44558477,0.47110423,0.5068164,0.55288863,0.59611255,0.60945886,0.5735848,0.5017422,0.43588594,0.41703108,0.45337042,0.5202082,0.58518785,0.63165075,0.65940905,0.66559935,0.63928825,0.5707546,0.47244248,0.37232473,0.29752132,0.25387833,0.23274517,0.221304,0.2131405,0.20717384,0.20754676,0.2226818,0.2604965,0.31974137,0.38584128,0.43821037,0.4662689,0.4749042,0.47649792,0.4715322,0.44934747,0.4009584,0.33914173,0.2898074,0.27689686,0.3046007,0.3636285,0.4351404,0.4981513,0.53036475,0.5168484,0.45739472,0.36835667,0.27827713,0.21593128,0.20219994,0.24125178,0.32135615,0.41750422,0.50099915,0.5485497,0.5484154,0.50305206,0.4269075,0.34459606,0.2803236,0.24779099,0.24247654,0.2506062,0.26105252,0.27290013,0.2886689,0.30799332,0.3269334,0.34392384,0.36093947,0.37991798,0.39936182,0.41608176,0.42865857,0.4385748,0.44791114,0.45778716,0.46758923,0.47641852,0.48304284,0.48672947,0.48674917,0.48323187,0.47632274,0.46605265,0.4514087,0.43240574,0.41090408,0.39175582,0.37886345,0.37366506,0.37282667,0.3721057,0.36765298,0.3594415,0.34930813,0.34060344,0.33451486,0.33066037,0.32689822,0.3225659,0.31841278,0.3169062,0.32026112,0.33003768,0.34653214,0.36895385,0.3953501,0.42274496,0.4473776,0.46573314,0.47560695,0.47704718,0.4714576,0.46012196,0.44224206,0.41607034,0.38130394,0.34283146,0.30854437,0.28494003,0.27032754,0.2582673,0.24425066,0.23554312,0.24515043,0.28159222,0.33644113,0.3916372,0.43105564,0.45047864,0.45173743,0.43569112,0.40307692,0.36211511,0.33038566,0.32296303,0.3393797,0.36244664,0.37261584,0.36206362,0.3372821,0.30961522,0.28741565,0.27431867,0.27268386,0.28334698,0.30373356,0.32709575,0.3465596,0.35889015,0.36487743,0.36625335,0.3642262,0.3604742,0.35923007,0.36534342,0.38086805,0.4016525,0.42016962,0.429926,0.42951933,0.42164364,0.41015908,0.3979933,0.38648844,0.37614512,0.36667657,0.35740736,0.34760317,0.33668128,0.32479745,0.31249353,0.30102205,0.29121685,0.28341213,0.27658847,0.2693728,0.26059076,0.2505426,0.24052012,0.2320205,0.22542459,0.22011834,0.21516655,0.21013689,0.20491834,0.19939964,0.19334447,0.18690588,0.1807375,0.17581634,0.1726926,0.17131038,0.17096907,0.17092822,0.17059237,0.16982384,0.16880323,0.16810866,0.16851813,0.17072952,0.17493539,0.18050623,0.1862316,0.19079906,0.19333524,0.19338728,0.1907041,0.18529648,0.17774874,0.1694092,0.16166173,0.15510558,0.14908433,0.14264564,0.13666031,0.13592675,0.14923811,0.18444502,0.24207337,0.31142855,0.37587273,0.42161587,0.4440205,0.44573507,0.4317547,0.40767404,0.38104212,0.36115062,0.3545845,0.36066678,0.37239206,0.38031283,0.3771249,0.35911146,0.32773218,0.28883603,0.25005665,0.21813262,0.1984203,0.19646245,0.21425329,0.24746878,0.2839584,0.31187025,0.3234296,0.31710544,0.29291704,0.25437167,0.2083146,0.16707373,0.14133887,0.13882266,0.1591862,0.19823848,0.24556966,0.2906678,0.32505548,0.3481668,0.36334395,0.37294856,0.3746779,0.36540782,0.3457791,0.3208214,0.29624298,0.27475646,0.2547079,0.2314517,0.20109838,0.1645569,0.12792568,0.09819887,0.078394294,0.066943094,0.06065109,0.057350725,0.05594994,0.055534005,0.0551219,0.054077685,0.052211985,0.04945342,0.04585519,0.04165943,0.037545174,0.0341375,0.031871177,0.030722426,0.030548654,0.031294927,0.033133037,0.036297157,0.04064702,0.045712847,0.050992474,0.05642474,0.06219687,0.06831735,0.074409135,0.079941116,0.08453292,0.08800193,0.090471655,0.09250498,0.09505264,0.09881425,0.10368929,0.108827405,0.11337456,0.11693687,0.1195415,0.12144876,0.12322662,0.12589225,0.13026088,0.1361444,0.14160138,0.14407562,0.14204097,0.13699172,0.13274117,0.13338234,0.14049794,0.15281773,0.16747512,0.1813144,0.19082497,0.19171588,0.18173434,0.1641201,0.14970095,0.15104555,0.17558885,0.21999379,0.27355143,0.32341728,0.35999683,0.37769875,0.37462023,0.3537104,0.32351515,0.2974939,0.28682873,0.29509994,0.31598303,0.3398116,0.35914207,0.37132588,0.37526432,0.36894405,0.35131374,0.32588425,0.30245176,0.29124808,0.29684737,0.3148398,0.33685824,0.3559641,0.36919618,0.37492514,0.3705244,0.35422578,0.32894167,0.3042103,0.29097164,0.29536805,0.31483355,0.3419248,0.36841157,0.38815454,0.39600053,0.38895917,0.36914286,0.34588575,0.33268824,0.33876064,0.36363897,0.39671388,0.42474684,0.43738803,0.43203416,0.41294134,0.390985,0.3787339,0.38656637,0.41625297,0.4615631,0.50988823,0.54934704,0.57102126,0.57153016,0.55082905,0.5121474,0.46186683,0.410241,0.36965325,0.3487948,0.34874654,0.361842,0.37793386,0.38913608,0.39434758,0.39664876,0.4005599,0.40774998,0.41762355,0.42868116,0.44027814,0.45222092,0.4646978,0.4774482,0.48963547,0.49932715,0.50729156,0.5187943,0.54012704,0.56895787,0.59155625,0.59385055,0.57557553,0.5506967,0.53323096,0.5256117,0.52366424,0.52700764,0.5423658,0.57245135,0.60737425,0.62737685,0.61831826,0.58443165,0.54557437,0.52224475,0.5212042,0.53611237,0.55798984,0.5838771,0.61342907,0.6391659,0.64451355,0.6163364,0.560695,0.50379866,0.47325766,0.47925362,0.5105161,0.55002534,0.5869519,0.6190059,0.6401498,0.639198,0.60648566,0.5489141,0.4857552,0.43632475,0.40555418,0.38998106,0.38813356,0.40703437,0.4512538,0.5110795,0.5616146,0.58082956,0.5671646,0.5386414,0.51446694,0.50061363,0.4951162,0.49964365,0.52145875,0.5606646,0.60122585,0.6176854,0.5942632,0.54018134,0.4842305,0.45541957,0.46325576,0.49740252,0.5412455,0.5850751,0.6251631,0.65241545,0.6509414,0.6101796,0.5424252,0.478303,0.4467013,0.45342615,0.4838016,0.5194171,0.5520735,0.58137393,0.6020008,0.6012769,0.5676876,0.50625664,0.43542385,0.37571147,0.33438805,0.3110545,0.30699053,0.33270958,0.39394152,0.4775866,0.55141854,0.58772945,0.5845142,0.56201696,0.5414843,0.52990574,0.52743524,0.5374942,0.56593233,0.6081741,0.6418913,0.6399932,0.5896227,0.509877,0.4373912,0.40584704,0.4203411,0.46559182,0.5206807,0.57614213,0.6267387,0.65923566,0.65344393,0.5999236,0.5199871,0.45406997,0.4359618,0.46620223,0.5216065,0.57613665,0.61975044,0.65044135,0.6594031,0.6299249,0.5537405,0.44941363,0.3516325,0.28901973,0.26420417,0.26624426,0.28829992,0.3367758,0.4144372,0.5041547,0.5729727,0.597873,0.58472955,0.5579974,0.5364987,0.5233195,0.51746607,0.52606696,0.5563012,0.6015633,0.6340092,0.6250837,0.5657678,0.4832027,0.41945156,0.40703657,0.44346237,0.5039236,0.56040335,0.6016814,0.62800866,0.6407504,0.6366918,0.61444306,0.5815092,0.5513324,0.5348775,0.53366715,0.5430665,0.5578688,0.5759825,0.5942254,0.60477287,0.59779406,0.57053006,0.532186,0.4974014,0.47527182,0.46490404,0.46208796,0.46733466,0.4853607,0.51651716,0.54982036,0.5689859,0.5652842,0.5455587,0.524625,0.51288,0.5113457,0.5177013,0.53261274,0.55708736,0.585361,0.6024153,0.59355456,0.557404,0.51035655,0.4757687,0.46752027,0.48328528,0.51120895,0.5423374,0.5734089,0.60157806,0.6169635,0.6083911,0.5732984,0.525826,0.4864068,0.46990883,0.4754592,0.49537492,0.52221686,0.55441254,0.58573824,0.60202736,0.58604306,0.5358351,0.46973357,0.41445637,0.38495764,0.37861764,0.38750735,0.4100232,0.45065105,0.50597245,0.5589042,0.58716935,0.5817198,0.5531805,0.52126175,0.49872375,0.4883667,0.49005362,0.50698143,0.53812164,0.5724881,0.5893457,0.5748399,0.53198326,0.4825391,0.45008388,0.44703367,0.46835294,0.50219685,0.53894526,0.5747321,0.6036814,0.6146403,0.5968341,0.55253893,0.50041085,0.46493152,0.4598496,0.48078153,0.5132063,0.5443806,0.56953454,0.58467215,0.5826698,0.5554051,0.5059007,0.44883165,0.40289685,0.3767213,0.36887074,0.37515548,0.39785147,0.44065225,0.4972732,0.5468251,0.5673394,0.55538225,0.5275592,0.5039738,0.490342,0.4837823,0.4854097,0.50546116,0.54690105,0.593173,0.6123256,0.5815169,0.50886923,0.43278667,0.39639714,0.41783944,0.48154292,0.5572781,0.6226001,0.6697847,0.69127935,0.67272466,0.6041607,0.5014836,0.40704468,0.36314118,0.38254735,0.44353127,0.513925,0.5740332,0.6202406,0.64717084,0.6404516,0.5866141,0.49487737,0.3953861,0.32018948,0.2797701,0.26744938,0.27598092,0.3113989,0.38040075,0.47210488,0.55359304,0.5937898,0.5888099,0.5613571,0.53666,0.5218446,0.5131199,0.5098861,0.5202088,0.54733485,0.58133835,0.6036265,0.6020837,0.5809769,0.5545009,0.5350606,0.5239687,0.5157013,0.50284255,0.47981465,0.44456688,0.40142915,0.36334428,0.3449272,0.35430038,0.38666913,0.42924222,0.46822724,0.49520096,0.50707203,0.50366205,0.48696485,0.46216926,0.43892777,0.42623842,0.42702472,0.43564048,0.443601,0.44609046,0.44516698,0.44877455,0.4661152,0.50032234,0.5411709,0.5687537,0.5686209,0.54520535,0.5168858,0.49865022,0.49273714,0.4955473,0.5086302,0.53654236,0.57683086,0.6130264,0.624953,0.6034893,0.561718,0.52389836,0.5093033,0.5182423,0.5398548,0.56401366,0.58939934,0.6153841,0.6331554,0.62735665,0.5911531,0.5377442,0.49372795,0.4795426,0.49574217,0.52795976,0.56214267,0.593213,0.62041396,0.6368125,0.63016295,0.5931757,0.53478533,0.47376654,0.42572173,0.3935133,0.37469944,0.37195572,0.3941382,0.44367182,0.50419694,0.547751,0.5560518,0.5365922,0.51194376,0.49807724,0.49540997,0.49974713,0.51484793,0.5461417,0.5887365,0.6206367,0.6189757,0.57682115,0.5142788,0.46337786,0.4486182,0.47064337,0.5140274,0.5614808,0.6049163,0.63991255,0.6577588,0.6473368,0.6070331,0.5526586,0.5079078,0.4886136,0.4937559,0.5129741,0.5375903,0.5645462,0.5900502,0.60283864,0.58871907,0.54255897,0.4767612,0.41251206,0.3653264,0.33645186,0.32257858,0.32634607,0.35750556,0.41717473,0.48731372,0.5387202,0.55424404,0.54112154,0.51925266,0.5015587,0.4900805,0.48611447,0.4981395,0.53045493,0.57309365,0.5990363,0.5856362,0.53158057,0.46573147,0.42494094,0.43100408,0.47459424,0.5319927,0.5832948,0.6240809,0.6513048,0.654536,0.62032676,0.552273,0.47855186,0.43486497,0.43970504,0.48176357,0.5364983,0.5842294,0.62039894,0.64202195,0.6394103,0.5987468,0.5206307,0.42675492,0.34744987,0.30043736,0.2837199,0.288685,0.314652,0.3668524,0.4408811,0.51299065,0.5553332,0.55717707,0.53353256,0.5061769,0.48686495,0.47646967,0.47781405,0.49905077,0.5412374,0.58839,0.6111167,0.5887239,0.526425,0.45631453,0.4138417,0.41504657,0.44887975,0.49500227,0.5397106,0.5807917,0.614287,0.62939173,0.61475235,0.57360905,0.5252802,0.4924328,0.484921,0.4970459,0.51791245,0.5416847,0.5676001,0.58987594,0.594641,0.56748605,0.5099148,0.44051492,0.38384545,0.3518434,0.34065285,0.33792177,0.3344917,0.32920614,0.32624236,0.33079866,0.34410748,0.36402607,0.385625,0.40464127,0.4175252,0.4226259,0.41920304,0.40786186,0.39006308,0.36910668,0.35025612,0.33958185,0.340314,0.35032597,0.3628719,0.37138698,0.3726637,0.36770546,0.35870978,0.3481311,0.33732304,0.32796326,0.3209505,0.3174976,0.31731173,0.31974033,0.32241404,0.32329535,0.32015324,0.3124278,0.3008646,0.28816304,0.2770309,0.26900908,0.26384544,0.26133004,0.26166618,0.26505888,0.2700446,0.27419707,0.27496877,0.27114156,0.26304662,0.25291395,0.24363865,0.23755312,0.23506552,0.23542345,0.23728375,0.2396077,0.24154942,0.24309044,0.24504696,0.24865194,0.25382912,0.25851944,0.2594159,0.2547955,0.24622412,0.23772077,0.23239452,0.2297423,0.22703297,0.22244792,0.21796761,0.21663727,0.22030157,0.22736631,0.23661108,0.24786466,0.26222157,0.27790475,0.29059425,0.29556248,0.29145026,0.28014198,0.2651167,0.24945313,0.23650779,0.2286065,0.2266112,0.22744651,0.22688603,0.22127478,0.21167381,0.20272087,0.20109117,0.210851,0.23224242,0.26197657,0.29549703,0.32771644,0.35344705,0.3681428,0.36900273,0.35463563,0.32606977,0.28772506,0.24978822,0.2236833,0.21695082,0.22778474,0.24833846,0.26960537,0.28545555,0.29212224,0.28640768,0.26730797,0.23764682,0.20546083,0.17895515,0.16284336,0.15581578,0.15406172,0.15373033,0.15257294,0.14910401,0.14230998,0.13216235,0.11993206,0.10846829,0.10055993,0.097954094,0.09992948,0.10457205,0.109547235,0.113381945,0.11483708,0.11304411,0.107787676,0.100240625,0.09257504,0.08655294,0.082582794,0.07971594,0.07686622,0.07339514,0.06942829,0.06530749,0.06135629,0.057522982,0.053703588,0.050151337,0.047631353,0.046856765,0.047655493,0.04896909,0.04951701,0.048665464,0.046517435,0.04357331,0.040400613,0.03750545,0.035312563,0.03391773,0.03307649,0.03223424,0.03086856,0.028602183,0.025424585,0.021682048,0.018078204,0.015327708,0.013864476,0.013605225,0.014067377,0.014617112,0.014784594,0.014448017,0.013790816,0.013078279,0.012390837,0.011571545,0.010389702,0.008813455,0.0071176044,0.0057463944,0.0049908515,0.004775493,0.0047198185,0.0044428427,0.0038336674,0.003078868,0.0024672935,0.0021556152,0.0020876282,0.00207576,0.0019605893,0.0017073606,0.0014001187,0.0011529485,0.001022669,0.0009778173,0.0009393993,0.00084855175,0.000707018,0.0005620365,0.00046129784,0.0004165394,0.00040441917,0.0003901554,0.00035421786,0.00029992877,0.00024525585,0.00020643859,0.00018704358,0.00017789115,0.00016604668,0.00014504255,0.000118041055,9.34115E-05,7.722864E-05,6.953444E-05,6.569898E-05,6.079066E-05,5.2782456E-05,4.299379E-05,3.418005E-05,2.8272743E-05,2.5176638E-05,2.3283914E-05,2.080831E-05,1.7060518E-05,1.2483614E-05,8.12533E-06,4.693584E-06,2.4323338E-06,1.1029712E-06,4.3058603E-07,1.2553527E-07,2.518916E-08,4.3265633E-10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]