[0.038575705,0.035396494,0.02884785,0.02150418,0.015654502,0.012025821,0.010116781,0.009528221,0.011023021,0.01563026,0.022758244,0.029360985,0.032002572,0.029558854,0.024215497,0.019120801,0.015918486,0.014223875,0.013600223,0.014993806,0.019580217,0.026670158,0.032773,0.034490015,0.030966355,0.024826543,0.01913034,0.015343863,0.013829499,0.016310459,0.027330076,0.049207866,0.07846714,0.103411816,0.11366167,0.10542957,0.085480265,0.063040115,0.045809392,0.039381683,0.051205177,0.09214354,0.16539204,0.26068887,0.35090306,0.41314152,0.43854412,0.43883753,0.4287932,0.41887322,0.41056475,0.40309003,0.39551,0.38721097,0.37698436,0.36386862,0.34930408,0.33887342,0.33827102,0.34887254,0.3630941,0.37174055,0.3696635,0.3605931,0.35034767,0.34271216,0.3374215,0.33332324,0.3299587,0.32754806,0.32633528,0.32632455,0.32736674,0.3289653,0.32959732,0.32695973,0.3190731,0.30667242,0.29342428,0.28422558,0.28153178,0.28388938,0.2879111,0.29249397,0.30138263,0.3188691,0.3437506,0.36644456,0.37644717,0.37040737,0.35419977,0.3362998,0.32134548,0.31004584,0.30186427,0.29739094,0.2963257,0.29726192,0.29741845,0.29699102,0.29870072,0.30787334,0.3232427,0.33760718,0.3380858,0.32074678,0.29019895,0.25897625,0.2339219,0.21642125,0.2031336,0.1925562,0.18461607,0.17977136,0.17747785,0.17710923,0.18010508,0.19208644,0.22108626,0.27134869,0.3358408,0.3963852,0.432747,0.4353393,0.40979496,0.37194434,0.3383716,0.3198749,0.32030645,0.33423534,0.35092548,0.35672414,0.34881845,0.33464396,0.33210275,0.35159945,0.39419684,0.44830623,0.5042063,0.55564696,0.6028771,0.644635,0.6793967,0.70653075,0.7291735,0.7506011,0.7710379,0.7874248,0.7970648,0.79791456,0.787651,0.76282597,0.7232506,0.67567414,0.63199896,0.601969,0.5842991,0.56930655,0.547507,0.5231568,0.50885946,0.5141392,0.5298836,0.537617,0.52448434,0.49715474,0.47329047,0.46689,0.47870874,0.4996058,0.52082986,0.53941286,0.5562482,0.5687978,0.56869394,0.5501956,0.5176783,0.4866294,0.46713698,0.45763084,0.44417945,0.42011467,0.38894907,0.36373904,0.35079288,0.34848616,0.351482,0.35946348,0.37819758,0.40934852,0.44739708,0.47813216,0.4935157,0.49288073,0.4849712,0.47540438,0.4665686,0.45628807,0.44335952,0.42706296,0.40753064,0.3853325,0.3625138,0.34263662,0.32954955,0.3245479,0.3255633,0.32776526,0.32754436,0.32358265,0.31745583,0.31070685,0.3044933,0.30016872,0.301443,0.31517854,0.34517524,0.38761643,0.42780745,0.45166704,0.45326665,0.43946013,0.4207109,0.4048089,0.39427444,0.3887259,0.3866937,0.38516676,0.3801844,0.3693335,0.35475186,0.3460714,0.3538182,0.38362655,0.4278256,0.47642174,0.52420086,0.57709485,0.63671756,0.6934543,0.728834,0.7322197,0.7077448,0.6687166,0.627204,0.5892765,0.55741006,0.53249645,0.5139757,0.4993322,0.4850469,0.46969685,0.45482755,0.4449408,0.44355044,0.45165431,0.46729887,0.4886941,0.5148916,0.54254955,0.5641888,0.5703282,0.5593824,0.5389383,0.52157634,0.51304287,0.5106794,0.5073667,0.49901307,0.4867973,0.4745021,0.46575725,0.46145344,0.46260858,0.47026888,0.4866031,0.5076192,0.52413434,0.5232749,0.5012587,0.46427062,0.42545617,0.3931036,0.3669233,0.34135678,0.31135282,0.27760544,0.24395828,0.21548313,0.19478683,0.18303303,0.18058068,0.18525417,0.19206399,0.19371419,0.187625,0.17626095,0.16548787,0.15727569,0.15013951,0.14469163,0.1496151,0.1816005,0.24974222,0.3461126,0.44247165,0.5148334,0.556963,0.5826146,0.6027805,0.6156947,0.61420554,0.60026044,0.5860513,0.5805842,0.58109015,0.57888824,0.5689833,0.5576997,0.55271506,0.55698663,0.5593273,0.54755956,0.515791,0.47341564,0.43260363,0.40151116,0.37916073,0.3620546,0.3475707,0.33551955,0.32707933,0.3236713,0.32679012,0.33721936,0.35473785,0.37704638,0.40000305,0.4191325,0.43201885,0.43864045,0.44037628,0.43826476,0.43493327,0.43487504,0.44447717,0.46413824,0.48655427,0.4973062,0.48966873,0.46860775,0.45088777,0.4462606,0.45335355,0.45869765,0.454964,0.44283298,0.4312952,0.42447504,0.42203823,0.42190647,0.42641482,0.44006428,0.46156132,0.48152074,0.48601404,0.46913716,0.43539068,0.39684233,0.3619734,0.33422104,0.31361833,0.30211475,0.3013883,0.31068763,0.32461992,0.3371941,0.34402254,0.3449639,0.34088388,0.3340766,0.32588348,0.32164118,0.32672167,0.34519252,0.3711735,0.3944764,0.40786362,0.41481975,0.42416117,0.43872944,0.45315835,0.4587336,0.45540145,0.450652,0.45538422,0.4725851,0.4975873,0.5214451,0.54262084,0.56744,0.6059697,0.6577479,0.71066713,0.7446833,0.7473733,0.7179242,0.66891646,0.6153362,0.56955916,0.5341781,0.5062067,0.47980967,0.453055,0.42747357,0.40757868,0.3976182,0.40048733,0.41515636,0.43669367,0.45793328,0.47726357,0.50010264,0.5360143,0.58493495,0.63373226,0.65983707,0.6482501,0.6003833,0.53434545,0.47217926,0.4285415,0.40631565,0.40027812,0.4030943,0.40806767,0.4116747,0.4142032,0.42041454,0.43482757,0.4570969,0.48066664,0.49925718,0.51537275,0.5393838,0.58106446,0.63781476,0.6956248,0.7356684,0.7450293,0.7232073,0.6826921,0.6436092,0.6204403,0.6154492,0.61956716,0.622844,0.621786,0.6185575,0.6159914,0.61182874,0.6007965,0.5787173,0.547311,0.51359224,0.4859437,0.46749517,0.45352724,0.4329879,0.39925608,0.35577503,0.3170742,0.297353,0.30255592,0.32822764,0.36459264,0.4026463,0.43395546,0.4531643,0.45795783,0.45454857,0.4532552,0.4634048,0.48401102,0.5059354,0.51967573,0.52689105,0.53932697,0.5687881,0.612487,0.65359044,0.67208487,0.6606814,0.62710625,0.586448,0.54992557,0.52105933,0.49832985,0.47911486,0.46153486,0.44448003,0.4279288,0.4135982,0.40474972,0.4055358,0.41702676,0.43630973,0.45502833,0.4677769,0.473493,0.4796934,0.49312547,0.51974374,0.558551,0.60484314,0.6471985,0.6716482,0.6682473,0.6376291,0.59403807,0.55309486,0.52466464,0.5051336,0.48831084,0.46993947,0.45273098,0.44033757,0.4342403,0.43288633,0.43341306,0.43587402,0.44135678,0.4509218,0.45984903,0.46271613,0.457152,0.44975117,0.44828454,0.45590758,0.46723688,0.47750163,0.48786834,0.50602746,0.53654957,0.5762983,0.61601907,0.64836544,0.6711866,0.6850829,0.6883808,0.678539,0.657886,0.63744396,0.6293251,0.6353557,0.6435909,0.6386945,0.6152552,0.5801203,0.54467374,0.51651794,0.49844208,0.4916242,0.49722108,0.5145065,0.53910226,0.5628488,0.57897264,0.5841628,0.58084947,0.572929,0.5650676,0.5605866,0.5622223,0.57038736,0.58245134,0.5925085,0.595102,0.588541,0.57811666,0.57132775,0.57349503,0.5821075,0.5914785,0.59661025,0.59784013,0.59712785,0.59533215,0.5905335,0.581175,0.5689158,0.55851704,0.55371827,0.5531795,0.5518686,0.54757875,0.54442996,0.5485478,0.5595563,0.5696607,0.5703966,0.56060123,0.5457545,0.53248876,0.52367395,0.5191779,0.518092,0.51983905,0.5230252,0.5248578,0.52293307,0.51671153,0.50815624,0.49873957,0.48786917,0.47299135,0.45239004,0.42810717,0.40252516,0.3767281,0.34686935,0.31330475,0.2824953,0.2681462,0.27809033,0.30872104,0.34582505,0.3753332,0.39107427,0.39516315,0.39307013,0.38833198,0.38079545,0.36802444,0.34826276,0.3224951,0.29419038,0.26888165,0.25412697,0.26064897,0.295053,0.3532449,0.41474834,0.45667848,0.46674132,0.45282283,0.43154585,0.4150873,0.40484837,0.3978273,0.39623854,0.4055203,0.42718664,0.45201162,0.46757865,0.46838567,0.4607542,0.45573607,0.45977712,0.47159338,0.48650846,0.50045985,0.5102647,0.5101064,0.49521002,0.46812773,0.44360772,0.43909654,0.46130928,0.49976793,0.5361828,0.5573566,0.5607613,0.5498223,0.52807885,0.49825382,0.46469152,0.4348705,0.41520095,0.40561962,0.3986486,0.38657227,0.37160122,0.36509752,0.37829652,0.40921712,0.4457264,0.4752672,0.49651846,0.51540184,0.53769284,0.56185883,0.58350015,0.6000326,0.61346966,0.6247428,0.6303578,0.6244321,0.6070182,0.58607656,0.57039285,0.5594042,0.54575306,0.52540463,0.5079537,0.5077698,0.5330574,0.5748175,0.61656165,0.6438112,0.6535527,0.64892024,0.6332794,0.608682,0.58087033,0.5624385,0.5648768,0.5884416,0.61901003,0.6400897,0.64489156,0.6394381,0.63272613,0.629237,0.62830955,0.63022995,0.6384096,0.6560584,0.68023926,0.7007365,0.7056227,0.69065434,0.66165596,0.6312364,0.60725373,0.5905203,0.5759179,0.56172806,0.5509737,0.5456925,0.5433917,0.53698134,0.5271643,0.51998717,0.5253851,0.5451835,0.5762558,0.6109254,0.6414273,0.66101146,0.6655313,0.657008,0.64093214,0.6265082,0.61926204,0.620603,0.6246775,0.62541074,0.6193607,0.6085649,0.5958896,0.58281463,0.5690996,0.55546755,0.5448075,0.53828424,0.53347176,0.52430946,0.5100245,0.49626815,0.49120936,0.49590936,0.50415564,0.5109877,0.5172863,0.52854437,0.5455821,0.56414276,0.577228,0.5818927,0.57976437,0.5750733,0.5707701,0.5677762,0.56668043,0.56991714,0.5810506,0.6020505,0.6292109,0.65385705,0.6659788,0.6639274,0.65408134,0.6467328,0.64349514,0.64183855,0.6403286,0.6454184,0.66115546,0.68221325,0.6967156,0.69618684,0.68333775,0.6665265,0.6552728,0.6534954,0.6595433,0.66529435,0.66042495,0.63684475,0.5942457,0.5404773,0.4893429,0.45213118,0.4317104,0.42063966,0.40915728,0.39375997,0.38022673,0.37817845,0.39283535,0.42249405,0.4605039,0.50138175,0.5408487,0.5758896,0.60095507,0.61137605,0.60415566,0.5820697,0.5506012,0.51718503,0.48735997,0.46600676,0.4566137,0.45909604,0.46788442,0.47183296,0.46456647,0.44736567,0.43268636,0.4303069,0.44362116,0.46276596,0.47701034,0.48000774,0.47646368,0.4726603,0.47092268,0.46706828,0.45752668,0.44301128,0.4277211,0.41476774,0.40630195,0.4050027,0.4146621,0.43408382,0.45464632,0.46408883,0.45935157,0.45276317,0.46663395,0.51648575,0.5978622,0.6874555,0.7556624,0.78440195,0.7716802,0.7298996,0.67225933,0.61022574,0.5499769,0.49838006,0.45980325,0.43641958,0.42617106,0.42547873,0.43004882,0.43327722,0.42792645,0.4098909,0.3852675,0.36722872,0.36755905,0.38697672,0.41637674,0.44513002,0.4686276,0.4880091,0.505408,0.51930934,0.52514964,0.5185771,0.49921742,0.47261786,0.44818833,0.4363866,0.44317055,0.46778718,0.5023806,0.5360749,0.5599394,0.57080346,0.5722235,0.57068723,0.5702184,0.56894875,0.5621515,0.54949045,0.5385448,0.54036117,0.55908436,0.58703136,0.609333,0.61460114,0.6015315,0.5775748,0.5524885,0.53261995,0.518827,0.5096979,0.50403076,0.50216025,0.5019899,0.50048274,0.49586096,0.492776,0.49715224,0.51103336,0.5275305,0.53800386,0.53824085,0.5324188,0.5266488,0.52450967,0.52580714,0.5297344,0.5352605,0.53894824,0.5373904,0.5317964,0.53097695,0.5426357,0.56394786,0.5811987,0.5809209,0.56185967,0.5335228,0.50819904,0.49110273,0.48067975,0.47245693,0.46382412,0.45481673,0.4453012,0.43438593,0.42036247,0.4052342,0.3939365,0.39371884,0.40683076,0.42986318,0.4538697,0.47266045,0.48529145,0.49480963,0.502176,0.50410104,0.49807322,0.48714438,0.48041454,0.4857571,0.5023302,0.520487,0.5282463,0.52170753,0.5066087,0.49343982,0.48821875,0.4903895,0.4956553,0.5009065,0.50477284,0.5085761,0.5154565,0.5308675,0.55615306,0.58614707,0.6088166,0.6167603,0.6128013,0.6097986,0.61656636,0.6302076,0.6379605,0.6308238,0.6121792,0.59442496,0.58877134,0.596806,0.6139231,0.6331408,0.6492099,0.6540847,0.6403422,0.60544235,0.55935556,0.51840127,0.49460587,0.4871149,0.4849541,0.47869232,0.4661114,0.4545752,0.45058167,0.45670816,0.4660442,0.47183618,0.47042266,0.46649837,0.46505597,0.46773076,0.4701533,0.4668161,0.4551343,0.43665922,0.4154397,0.3956665,0.38095108,0.37451127,0.37643245,0.3829583,0.3857415,0.37954307,0.3642906,0.3477782,0.33776417,0.33940384,0.35126427,0.37024167,0.39449465,0.4242228,0.45798376,0.4892355,0.5123572,0.52717334,0.54281706,0.5677138,0.6048613,0.64825183,0.69140667,0.73070765,0.7670579,0.8016189,0.83464485,0.8665383,0.89739364,0.925994,0.94707555,0.9545446,0.94354194,0.91344064,0.8655903,0.8026417,0.7285335,0.6512068,0.5826642,0.53413016,0.5084534,0.49778977,0.4896889,0.47739068,0.4631754,0.4544377,0.4553921,0.4644719,0.475916,0.4850802,0.4903715,0.49220166,0.49105218,0.4865606,0.4808744,0.47689223,0.47984967,0.49057046,0.508877,0.5282156,0.5450661,0.55645245,0.56758577,0.58150375,0.59951943,0.6163771,0.6281511,0.63292783,0.63155097,0.62452704,0.6130995,0.6003924,0.5913909,0.5886148,0.5901423,0.59011936,0.58487123,0.57549834,0.5673056,0.564009,0.5657229,0.57004356,0.5761103,0.5839965,0.5924492,0.596713,0.59290457,0.5817199,0.5696142,0.561036,0.55519867,0.54562545,0.5304648,0.51353276,0.5035536,0.50340885,0.5100135,0.51630694,0.5197682,0.5228694,0.52963257,0.5391509,0.54514605,0.54074574,0.5243726,0.50034565,0.47536394,0.45437682,0.44038942,0.43486428,0.4386287,0.44910944,0.46135867,0.46937418,0.47261342,0.4755826,0.4853073,0.50379187,0.5267124,0.546359,0.55683327,0.55649406,0.5464092,0.5289367,0.5071244,0.48484072,0.46612635,0.45333827,0.4469657,0.44637433,0.45115235,0.46110073,0.47372177,0.4843497,0.48725662,0.4816306,0.4724537,0.4689875,0.47791302,0.49920157,0.5264826,0.5513753,0.5698235,0.5819094,0.5900617,0.593622,0.5915365,0.5832377,0.57188344,0.5595255,0.54651135,0.53023165,0.5109902,0.49372137,0.4860467,0.4901906,0.49786472,0.49651965,0.47927734,0.4534072,0.4319555,0.4248911,0.42963955,0.43769848,0.43990645,0.43397507,0.42130914,0.4057716,0.3905773,0.37984654,0.37810874,0.38847852,0.40949658,0.43479562,0.45710063,0.47401044,0.48731148,0.5003393,0.51081485,0.516109,0.5142529,0.51123977,0.51256156,0.5221843,0.5366667,0.55242914,0.567092,0.58172446,0.5962644,0.6076042,0.6113803,0.6046794,0.5894341,0.56932163,0.5496902,0.5340459,0.526329,0.52737075,0.53538346,0.5442102,0.54882246,0.54860026,0.54840046,0.5535138,0.56456083,0.5779794,0.588739,0.59527284,0.59688157,0.5945706,0.5879123,0.57932806,0.57061094,0.56299776,0.55319136,0.5376234,0.51576585,0.49443898,0.48479685,0.4959998,0.52691644,0.5654761,0.5961074,0.6105708,0.61171895,0.60783225,0.60465074,0.60193986,0.59720504,0.5901577,0.58420014,0.5825283,0.5844403,0.5845093,0.5771925,0.56150335,0.5428595,0.52883554,0.5236712,0.52581626,0.53105474,0.53475946,0.5331897,0.5217397,0.4997349,0.47081682,0.444728,0.42872825,0.4262459,0.432995,0.44315445,0.45052776,0.45309642,0.45143938,0.44948807,0.45281175,0.46651995,0.49078584,0.51840377,0.53846604,0.5444226,0.5391616,0.5319897,0.5292478,0.52986425,0.5277377,0.52149636,0.51663154,0.52218443,0.54062885,0.56691456,0.5925537,0.61268425,0.6257438,0.6307977,0.6278608,0.6201086,0.6130476,0.6085996,0.6043052,0.5982585,0.5946018,0.59970343,0.6144336,0.6315577,0.6417267,0.6417863,0.63604116,0.63203245,0.63376504,0.6400442,0.64663106,0.6492526,0.6466761,0.63992494,0.63271326,0.6278255,0.6256134,0.6235557,0.61832213,0.61021024,0.6027331,0.60105854,0.6064175,0.6154673,0.6245627,0.6320835,0.63869137,0.6403304,0.6332422,0.61810565,0.6075447,0.61382294,0.6403839,0.6748794,0.70326966,0.71727353,0.718918,0.7115221,0.6975055,0.6795323,0.66275406,0.65183663,0.64464384,0.6339964,0.6145095,0.58908755,0.5656883,0.5477596,0.53151757,0.50926775,0.47963277,0.4473512,0.4215168,0.40775618,0.4078389,0.41913697,0.43772197,0.45956156,0.48012254,0.4947954,0.49972534,0.4962888,0.4901071,0.48721543,0.48763743,0.4857191,0.47652218,0.46173596,0.45132044,0.45458722,0.4746139,0.5029931,0.5305235,0.5509804,0.56848496,0.5869407,0.6096802,0.6328451,0.6540647,0.6719091,0.6892824,0.70656276,0.7199736,0.7236166,0.7157039,0.7016254,0.68831664,0.6793189,0.67365295,0.6715949,0.6767729,0.6927953,0.7166724,0.73875445,0.7496466,0.7478211,0.7390571,0.7293468,0.71926624,0.7045141,0.6806224,0.64507985,0.59863895,0.5442821,0.4896367,0.44344977,0.41411614,0.40137076,0.39957067,0.39795747,0.3922486,0.38372156,0.38136423,0.39124444,0.41370308,0.44036806,0.46274412,0.47679344,0.4851475,0.48958656,0.49065754,0.48849842,0.4891242,0.49731228,0.5120178,0.5228079,0.5207136,0.50431246,0.48075923,0.45840922,0.44160724,0.43054056,0.42296734,0.41746023,0.41264465,0.40700057,0.39779806,0.38434312,0.37062535,0.364646,0.37121192,0.38610134,0.39765373,0.39720154,0.38506928,0.36888787,0.35450497,0.34363818,0.33539495,0.33023176,0.32894707,0.33124626,0.3354607,0.33979145,0.34299317,0.34365568,0.34015286,0.3315986,0.31942773,0.30747473,0.30004457,0.29904184,0.3029537,0.30871406,0.3169239,0.3327459,0.36380455,0.40914878,0.45821348,0.49176097,0.49802697,0.47575477,0.43719757,0.39649191,0.36657104,0.35468388,0.36263344,0.38510105,0.40940627,0.42229056,0.41841936,0.40723875,0.40661964,0.42805418,0.46580783,0.49855605,0.50645685,0.48189703,0.43378758,0.37647584,0.32358882,0.2812527,0.25048903,0.22813237,0.21135764,0.19828385,0.18914999,0.18553607,0.192427,0.2169944,0.26538995,0.33384243,0.4068074,0.4611375,0.48073497,0.46421275,0.4259608,0.38624623,0.36288023,0.36544654,0.3926079,0.43389988,0.47315407,0.49887848,0.50762075,0.505147,0.49810994,0.49133602,0.48587725,0.4819274,0.47952843,0.47843143,0.47765115,0.47562316,0.47281826,0.47280002,0.4797739,0.49302194,0.5043963,0.5042501,0.48974064,0.468043,0.44963107,0.44016358,0.43770376,0.43717727,0.43513322,0.43164527,0.42797685,0.4252156,0.4232287,0.42229652,0.42278945,0.42516115,0.4283954,0.43113956,0.43343017,0.4376336,0.44630244,0.4581772,0.46919584,0.4762334,0.48303974,0.4974912,0.52472144,0.5582041,0.5828137,0.5865282,0.5751035,0.56622505,0.5737019,0.5893329,0.59480166,0.5784033,0.54867893,0.5216703,0.50887865,0.51307935,0.5332057,0.56736773,0.60716814,0.64095783,0.6556931,0.6506868,0.6339498,0.622456,0.62607676,0.64583325,0.6708763,0.6896021,0.6942318,0.6840673,0.66168255,0.63120556,0.5973024,0.566309,0.54452753,0.5354031,0.5362901,0.54170173,0.54841405,0.5590975,0.57590485,0.5952344,0.6076935,0.6088264,0.60341436,0.5999043,0.5993069,0.5930398,0.57333875,0.54083186,0.505131,0.47498873,0.45435706,0.4417002,0.43429148,0.4294623,0.42477283,0.4177526,0.4077818,0.3991257,0.40257427,0.42799425,0.4750779,0.5270112,0.5632364,0.5739129,0.567189,0.5566227,0.54781455,0.5361697,0.5160205,0.48940727,0.46423554,0.447314,0.43887988,0.43558708,0.43560743,0.4406142,0.45071664,0.4630272,0.47367272,0.48398986,0.4971366,0.5139937,0.52926713,0.53828835,0.5416127,0.54534894,0.55298656,0.55975395,0.55507547,0.5309531,0.4889703,0.43762493,0.38649115,0.34098804,0.30341205,0.27448818,0.25431034,0.24078138,0.22987644,0.21681301,0.2021466,0.19231993,0.1988572,0.223679,0.2572476,0.27820665,0.27592823,0.25250882,0.22415502,0.20062952,0.18499948,0.1736451,0.1680802,0.17479573,0.20150171,0.24815659,0.30368093,0.35141286,0.38036808,0.3905519,0.3889756,0.37965783,0.36279523,0.33953705,0.3191721,0.31390086,0.33039543,0.36399958,0.405117,0.4477936,0.4897817,0.52824026,0.55526215,0.5665519,0.5641318,0.55726933,0.552237,0.55062515,0.54991984,0.5484764,0.5463006,0.5438672,0.5410094,0.53778905,0.5362868,0.54082584,0.5528024,0.56790686,0.57577103,0.57019734,0.55212206,0.5309191,0.51346445,0.50301164,0.49670994,0.49180767,0.48356923,0.46774292,0.44072816,0.40534928,0.37036803,0.34696317,0.34093976,0.35077024,0.36934575,0.38901928,0.40389824,0.41190884,0.41474423,0.4170042,0.42342916,0.4372886,0.4594482,0.48619995,0.507862,0.511913,0.49422014,0.46538392,0.4466735,0.4501828,0.4697754,0.4829451,0.47447243,0.44616055,0.41849566,0.40964308,0.42371306,0.44807628,0.4678316,0.47878966,0.4854599,0.49282062,0.4968871,0.49405715,0.4839437,0.47179797,0.45841813,0.44271886,0.42559358,0.41493437,0.4203159,0.44550514,0.48395792,0.52316844,0.55257064,0.57057834,0.5808154,0.58825237,0.59582,0.60699064,0.6230603,0.6403587,0.6537643,0.6625731,0.6727037,0.68660706,0.69955254,0.7015462,0.6881432,0.661283,0.6268711,0.5887461,0.5489123,0.5094629,0.47342953,0.44440663,0.4237957,0.41105893,0.40329036,0.39638832,0.38682237,0.37382245,0.36272076,0.36040393,0.37068376,0.3870742,0.39920244,0.3989264,0.38770887,0.37300882,0.3656923,0.3764169,0.4119086,0.468231,0.52967876,0.5750975,0.59280276,0.58339095,0.56074524,0.5370762,0.5224333,0.5150752,0.5095446,0.49486828,0.4664832,0.42621532,0.3837017,0.34808317,0.3251325,0.31797257,0.32814345,0.35362718,0.38508284,0.41026315,0.42230263,0.42569318,0.4328604,0.4549102,0.49458396,0.5441081,0.5899653,0.62029886,0.63018864,0.62193847,0.60142213,0.57736796,0.5613466,0.5629854,0.58397514,0.6137989,0.63841236,0.6447811,0.6263796,0.5814694,0.51701653,0.44659412,0.38415277,0.33571815,0.29867876,0.26782432,0.24136643,0.2227359,0.21979411,0.24151818,0.2924075,0.3649931,0.440353,0.49723613,0.52678514,0.5354452,0.5376007,0.54344946,0.5546387,0.5694975,0.5836254,0.5949793,0.5983481,0.5959309,0.5926788,0.5990384,0.615408,0.63262105,0.6346323,0.6128463,0.57121915,0.522319,0.47782317,0.4420483,0.41422272,0.39398327,0.38220385,0.37818956,0.37489557,0.36586776,0.34911597,0.3314748,0.3202238,0.3210318,0.33599856,0.36606613,0.4078404,0.45153344,0.48511723,0.5036465,0.5159364,0.53687215,0.5734487,0.6145356,0.64032316,0.64023274,0.62476534,0.61468834,0.61928254,0.62564546,0.6128047,0.57540053,0.53070843,0.50027186,0.48946297,0.4850233,0.47446847,0.45811716,0.44795477,0.44912943,0.45627558,0.4554588,0.44192472,0.4194558,0.39901266,0.38517055,0.37719163,0.37211463,0.371009,0.37942895,0.398667,0.42375004,0.4413117,0.4438617,0.4310408,0.41229638,0.39448237,0.38172594,0.373536,0.36906514,0.36589825,0.3611398,0.35296384,0.3422221,0.33148646,0.32277235,0.31504998,0.30542806,0.29067528,0.27160373,0.25168386,0.23594765,0.22723095,0.22799997,0.24249887,0.2764567,0.3349149,0.4140751,0.5016335,0.57557917,0.61944646,0.6277476,0.61297446,0.5914952,0.5752306,0.5646787,0.55551285,0.54417056,0.5292669,0.51143396,0.49349698,0.48307848,0.48870483,0.51196885,0.5432694,0.5669722,0.573708,0.5650449,0.5504675,0.53772426,0.5300162,0.5260504,0.5242753,0.5234022,0.5231777,0.52362806,0.524778,0.5270296,0.53038925,0.5351499,0.54027957,0.5444712,0.54618496,0.5458946,0.54513997,0.5450618,0.5439077,0.539542,0.53252006,0.5288176,0.53345853,0.54621434,0.55827093,0.5618593,0.5541115,0.5405944,0.5266149,0.51553726,0.50659204,0.49955872,0.49446797,0.49124062,0.4879106,0.48162365,0.4724079,0.4647913,0.46671045,0.4804201,0.49987626,0.51164395,0.5090711,0.49475265,0.47983268,0.47050372,0.46688208,0.4635721,0.45718518,0.4463347,0.43137667,0.41203454,0.38865054,0.3628433,0.33814418,0.31655744,0.2970209,0.2749509,0.24789734,0.21713887,0.18816024,0.16507244,0.14939152,0.14144488,0.14398617,0.16376907,0.20208554,0.2514242,0.29217848,0.31173682,0.30851594,0.29640973,0.28611898,0.28233755,0.2807602,0.27778408,0.27166596,0.26321676,0.2528888,0.24204904,0.23429118,0.23684812,0.25241354,0.2758168,0.29196236,0.29206643,0.2775109,0.26164177,0.25324282,0.2540135,0.2578344,0.2596351,0.25619102,0.24683012,0.23208274,0.2156444,0.20515122,0.21166313,0.24335726,0.29878148,0.3631828,0.41632387,0.44461718,0.44932544,0.44256678,0.43621388,0.4360057,0.44173875,0.45405343,0.47126412,0.48793378,0.49156165,0.47647202,0.44979477,0.4306766,0.42890373,0.43787065,0.44018003,0.42946377,0.41245672,0.4010006,0.39697996,0.39426172,0.3888099,0.3856015,0.39817226,0.4322525,0.4827211,0.5294108,0.557895,0.5619809,0.55130535,0.53477687,0.5184478,0.5011302,0.4837055,0.4698558,0.4626371,0.46057472,0.4598352,0.46093595,0.46741143,0.47917593,0.48937264,0.48934194,0.48000607,0.46971047,0.4684721,0.47595593,0.48655072,0.495527,0.50479627,0.518415,0.5351646,0.5502679,0.55708647,0.55504394,0.54620486,0.5355318,0.52497536,0.5149088,0.5051065,0.49761322,0.49510142,0.49688724,0.49813285,0.49492797,0.490109,0.4920775,0.5059379,0.52699023,0.5430178,0.54339916,0.5259231,0.49596086,0.46173337,0.42904067,0.4008235,0.37771437,0.36063245,0.35048392,0.3470143,0.34742388,0.3480616,0.3500229,0.35978797,0.38379994,0.41654155,0.44084847,0.43980408,0.4144696,0.38370475,0.36817718,0.3727188,0.38713753,0.4011971,0.41403142,0.429929,0.4464437,0.4550372,0.44908988,0.43243977,0.41368392,0.3979127,0.38440478,0.37401187,0.3739793,0.39014724,0.4173915,0.43875206,0.44250703,0.4334139,0.43000576,0.4450086,0.47417855,0.50187737,0.51519716,0.51361585,0.5036525,0.493337,0.48596588,0.4827825,0.48335925,0.48752153,0.4937223,0.4980667,0.49547517,0.48424283,0.47017637,0.462428,0.46517456,0.4718847,0.47453785,0.47113857,0.46995655,0.4765998,0.49090695,0.5067223,0.52183026,0.5372947,0.5527397,0.5636415,0.5639549,0.55349886,0.5358404,0.5156254,0.49306014,0.46782875,0.44154415,0.41979647,0.40680036,0.40037617,0.39187774,0.37423077,0.35286415,0.3454177,0.36949405,0.42573515,0.49534342,0.55339646,0.5856032,0.59425265,0.58948225,0.5797859,0.56786984,0.55578494,0.54704374,0.5452474,0.546977,0.54309696,0.5239388,0.49056745,0.45218718,0.42009166,0.39504445,0.3711804,0.34232807,0.3130804,0.2950219,0.29992273,0.33013794,0.3792734,0.4368768,0.4941472,0.5442495,0.5804171,0.59711915,0.5933035,0.5746673,0.54992294,0.52548724,0.5043631,0.48786163,0.48046553,0.48500004,0.5002175,0.5148742,0.5183569,0.5083182,0.49842727,0.50550765,0.5366833,0.5812037,0.6211845,0.6443281,0.64991,0.6443278,0.63401955,0.62450224,0.6189542,0.61924547,0.6224823,0.62384504,0.619165,0.60968417,0.60164595,0.6018222,0.61373395,0.63355446,0.6541478,0.6660051,0.6644399,0.64875346,0.6249597,0.601329,0.5872976,0.58841205,0.6031136,0.6217605,0.63170666,0.62618804,0.6074662,0.58363837,0.5610525,0.5417938,0.5247759,0.5084891,0.4921271,0.47429657,0.4517829,0.4202988,0.37996867,0.34028646,0.31639954,0.3179727,0.33980045,0.36692142,0.3871397,0.39993048,0.41223457,0.4291881,0.44925952,0.46738756,0.48107585,0.4925635,0.50524503,0.519012,0.5291793,0.53227496,0.5282642,0.5195408,0.50329924,0.47411105,0.4297135,0.37952003,0.3397462,0.32279754,0.32893565,0.34837756,0.3723934,0.39781368,0.42728212,0.45976722,0.4904003,0.5103194,0.51597315,0.5101641,0.5022842,0.5003624,0.50681597,0.5182784,0.528358,0.5314048,0.5226694,0.5017422,0.47386906,0.44910517,0.43685436,0.43929735,0.451763,0.46556166,0.47467804,0.47669688,0.47261775,0.46385822,0.45163718,0.43735567,0.42361256,0.41336474,0.4080666,0.40717912,0.4105599,0.42084885,0.44009233,0.46408865,0.47982064,0.47481027,0.4481611,0.41480032,0.39494583,0.39956436,0.42438075,0.4562206,0.4856069,0.51087695,0.5349889,0.5575676,0.574807,0.5823412,0.5800879,0.57157815,0.5620468,0.5555616,0.5540474,0.5562945,0.55896616,0.55660325,0.54618174,0.5282616,0.51091415,0.50300735,0.509914,0.52632326,0.5422339,0.5487766,0.54515123,0.53511924,0.5231401,0.5111447,0.5007122,0.49479115,0.49624896,0.50390387,0.51129997,0.5113576,0.5034967,0.49376097,0.48912635,0.4898831,0.49152505,0.4900519,0.48785326,0.49150118,0.5070335,0.5339591,0.56526446,0.59136313,0.60637283,0.61026734,0.60643095,0.5980925,0.5855716,0.5671928,0.5406949,0.5064558,0.46898985,0.43601874,0.41610992,0.41305447,0.4258895,0.44821766,0.47598848,0.50591666,0.53591347,0.55950785,0.5710667,0.57044387,0.565062,0.5645264,0.5718611,0.5830164,0.5891804,0.58638614,0.576624,0.5680177,0.56653744,0.5737993,0.58554834,0.596823,0.6039996,0.60744256,0.60993797,0.6154328,0.6252778,0.63759804,0.64814836,0.65412337,0.65456265,0.65013903,0.6421049,0.63407487,0.6309889,0.63499075,0.64163643,0.64288664,0.6350512,0.6225095,0.6121573,0.607398,0.6063579,0.6083779,0.6125875,0.61815816,0.62003165,0.61656433,0.6086975,0.6014962,0.59674186,0.59481627,0.59334093,0.5902844,0.5824945,0.5689891,0.5515438,0.53540593,0.52530533,0.5235894,0.5294673,0.5391032,0.54689664,0.5473134,0.5403064,0.53013563,0.5199488,0.50656074,0.4836564,0.45181665,0.419276,0.39734253,0.39052773,0.3977488,0.41516602,0.44043455,0.47093627,0.5018378,0.52624816,0.538346,0.5377312,0.5286363,0.51755136,0.507495,0.49976087,0.49480608,0.49549714,0.5024956,0.51019067,0.5072641,0.48411486,0.4436946,0.40184212,0.37958384,0.38964248,0.42848334,0.4802622,0.52503246,0.5518723,0.559344,0.5546429,0.5445869,0.53386515,0.52367467,0.51349497,0.5029565,0.49195257,0.48300835,0.47819576,0.4779651,0.47643146,0.46579573,0.4408841,0.4069167,0.37684968,0.3667523,0.38567814,0.43209037,0.4927125,0.55038077,0.59157497,0.6124856,0.6167564,0.61104816,0.600488,0.5877686,0.57399625,0.559856,0.54712313,0.5371862,0.5310778,0.52506995,0.5134578,0.48841596,0.45049405,0.40755713,0.37609544,0.36663535,0.38051113,0.40506637,0.42606232,0.43404135,0.4321855,0.43065968,0.44032872,0.46426627,0.49640974,0.5254171,0.5427003,0.5470399,0.5443283,0.5416794,0.54422164,0.5511908,0.557396,0.5531103,0.5318318,0.49348113,0.44842884,0.40983042,0.38853705,0.3861041,0.39804074,0.4178935,0.44325826,0.47467327,0.511467,0.5479571,0.5759925,0.5905504,0.5932105,0.58972543,0.5855551,0.58341885,0.58285874,0.5803055,0.5702708,0.5498979,0.52473474,0.5070146,0.50823885,0.5295479,0.5629506,0.59671086,0.6224329,0.6354573,0.63353497,0.61642724,0.58574957,0.54673177,0.5054192,0.4682934,0.43829164,0.4161942,0.40128466,0.3946061,0.39953482,0.4173392,0.4450375,0.47407436,0.5002356,0.5247238,0.5533063,0.58528996,0.6146148,0.6349065,0.64669734,0.6551506,0.6632753,0.6693588,0.66962266,0.6637561,0.6550117,0.6475813,0.6432977,0.6422151,0.64347094,0.6464706,0.64922166,0.64956313,0.6448938,0.6363244,0.6271667,0.62315303,0.6257658,0.6326015,0.6370731,0.6354049,0.6268521,0.61443865,0.6004118,0.5879001,0.580537,0.58310676,0.5964272,0.6134972,0.62148714,0.6087553,0.57536983,0.5320483,0.49289358,0.4636517,0.4404205,0.4176806,0.3941815,0.37450942,0.361549,0.3558166,0.3555195,0.36162433,0.37818012,0.4094728,0.4543704,0.5030424,0.5419364,0.5623262,0.5657633,0.5601353,0.5524528,0.54606795,0.5424812,0.5444264,0.5527994,0.5652506,0.5746332,0.5760142,0.5695076,0.5620782,0.5602055,0.564507,0.5684696,0.56469685,0.55136687,0.5334051,0.51799256,0.5113504,0.51622134,0.53158015,0.550215,0.5623941,0.5638173,0.56091744,0.56694174,0.58805895,0.6183894,0.6422146,0.64610696,0.6243866,0.5824638,0.5348906,0.49818817,0.48235843,0.48409343,0.49436036,0.5050656,0.514967,0.52357125,0.53095675,0.5371116,0.544738,0.55446243,0.56268764,0.56288856,0.55210114,0.5338026,0.513503,0.4936761,0.47131228,0.44525638,0.41894707,0.40215698,0.40069827,0.4143361,0.43459478,0.4551495,0.47284833,0.4898827,0.50647885,0.5215362,0.53095984,0.531768,0.52286243,0.5075466,0.49097976,0.47739816,0.46786758,0.46292153,0.46293166,0.46823516,0.47578454,0.48288277,0.48717454,0.48943016,0.489486,0.48908588,0.4919856,0.505621,0.5348068,0.57686186,0.61957055,0.6488373,0.6574245,0.65053827,0.63899565,0.63123506,0.62696475,0.62443703,0.6238096,0.6290033,0.6384594,0.645259,0.6411905,0.6267008,0.6109528,0.6036504,0.6065118,0.6121752,0.61320925,0.60723954,0.5978479,0.58742166,0.57621247,0.5612913,0.5435767,0.5255237,0.51191705,0.5006283,0.48667768,0.4646264,0.4378312,0.4150521,0.404201,0.4057714,0.4134349,0.42124447,0.42657223,0.43099996,0.43485662,0.43795547,0.44003615,0.44317436,0.45045808,0.46239236,0.47711858,0.488101,0.492597,0.4909648,0.49202168,0.50065106,0.51751405,0.534471,0.54584694,0.5485465,0.54537106,0.5394241,0.5368902,0.5434532,0.5634108,0.5929684,0.6224776,0.64063364,0.64289355,0.63267785,0.61845905,0.6071546,0.6014319,0.6006209,0.6037724,0.610709,0.62001026,0.6283991,0.631474,0.62779665,0.619114,0.60896975,0.5990167,0.5880268,0.57397825,0.55579525,0.5355155,0.51624984,0.50210327,0.49540278,0.49743867,0.50750124,0.52444935,0.54631776,0.5709548,0.5960116,0.6196198,0.6403079,0.6571524,0.6698783,0.67962664,0.687519,0.6933546,0.69395465,0.68593574,0.6684244,0.6456302,0.62451226,0.61106616,0.6074057,0.6108683,0.6168947,0.62010473,0.61786056,0.6088229,0.59380823,0.5723987,0.5444117,0.5101889,0.4736525,0.4405291,0.4167045,0.40503025,0.40559685,0.4137075,0.42097387,0.4170591,0.39868847,0.373423,0.35863665,0.36829075,0.402769,0.44682464,0.48263693,0.50468606,0.5216675,0.544705,0.57298905,0.59597343,0.6035695,0.5959433,0.5797321,0.56238085,0.54830027,0.54237723,0.5507877,0.5774753,0.6161034,0.64826375,0.65480816,0.6300327,0.5887055,0.550245,0.5267875,0.51508194,0.51175094,0.51404524,0.5218589,0.5258212,0.5163563,0.48856178,0.45037615,0.41287234,0.38409665,0.36454788,0.35250035,0.34709716,0.34973964,0.35935697,0.37284434,0.38576916,0.39999214,0.41992638,0.4504151,0.4882393,0.52644867,0.5562548,0.5739026,0.58028895,0.5799302,0.5756201,0.56484884,0.5431895,0.5103978,0.4757497,0.45075586,0.4405366,0.4383854,0.43496057,0.42842504,0.42597285,0.4342949,0.45074102,0.46793452,0.48161304,0.4946845,0.51048756,0.52854425,0.54566675,0.56006044,0.5726466,0.5844578,0.5947073,0.60033447,0.5979814,0.58682483,0.57055813,0.5564473,0.55201745,0.561178,0.58291715,0.61080605,0.6358192,0.649101,0.6478839,0.6353206,0.62003213,0.6094184,0.60836875,0.61585754,0.62840086,0.64219373,0.65476364,0.662049,0.65711385,0.63864464,0.6174674,0.61292875,0.633761,0.6687662,0.69551635,0.6999882,0.684711,0.66070366,0.6379633,0.62052226,0.6092181,0.60005486,0.5874015,0.5659222,0.5371568,0.5064221,0.48012862,0.45997134,0.44576457,0.435897,0.43060228,0.42992762,0.43470415,0.4436184,0.45315066,0.4572101,0.4525816,0.44184387,0.4327748,0.42984316,0.43106732,0.42887998,0.42018518,0.4072083,0.39700916,0.39320013,0.39620236,0.40333417,0.41244933,0.4220687,0.43038929,0.435158,0.4341638,0.4289324,0.4255379,0.43194354,0.4515842,0.47835374,0.5011716,0.5110292,0.5093561,0.50220376,0.4947987,0.4856827,0.47426757,0.46469185,0.46449757,0.47636756,0.49359488,0.5060877,0.50671273,0.49653307,0.48071274,0.46557006,0.45647836,0.4560673,0.46341184,0.4720229,0.47703668,0.4780928,0.4819409,0.4942828,0.5172446,0.5453231,0.56953734,0.58231026,0.58818454,0.6024117,0.63802975,0.6894548,0.73578304,0.7590882,0.758342,0.7442565,0.72613597,0.7052219,0.679411,0.647559,0.61270636,0.57869285,0.55009216,0.5289148,0.51730317,0.5161882,0.524632,0.5353722,0.53606826,0.51764774,0.48185125,0.4434619,0.41848287,0.41506112,0.4268596,0.44136932,0.44778726,0.44391838,0.4335012,0.4216878,0.41191724,0.4059581,0.40516338,0.41083512,0.42329398,0.44218254,0.4654355,0.4910791,0.515081,0.5338331,0.5437799,0.5469981,0.5488654,0.55674726,0.5726729,0.59392196,0.6139073,0.6273944,0.63252574,0.6312628,0.6275274,0.6233894,0.619128,0.6137797,0.6083028,0.60376674,0.5999658,0.5960874,0.59256274,0.5928211,0.59650403,0.59984094,0.5960312,0.5861003,0.57693213,0.57767326,0.58961517,0.6063246,0.6170811,0.6146157,0.59844106,0.5758403,0.55502707,0.54062206,0.52952194,0.51695913,0.49959132,0.4783957,0.4558345,0.43623626,0.42705536,0.43682647,0.46948537,0.51711726,0.5644389,0.59738725,0.61403686,0.62087005,0.6262968,0.6319433,0.6357395,0.635637,0.6344037,0.63606185,0.6425962,0.65028334,0.653816,0.64965105,0.6401164,0.6292047,0.6202356,0.61288357,0.60673445,0.60146785,0.5973125,0.5931962,0.5891297,0.5867954,0.588991,0.59546787,0.6027338,0.6058027,0.602499,0.5939937,0.58377343,0.5749032,0.5686598,0.5644637,0.5607694,0.55559224,0.54637194,0.5298413,0.5051839,0.47619617,0.4513973,0.43612763,0.42896178,0.42163715,0.40921476,0.39259282,0.37849274,0.37178466,0.37480903,0.38755524,0.4097828,0.43986574,0.47322664,0.5035872,0.5256357,0.538651,0.5458409,0.5518946,0.5593226,0.5681835,0.57760936,0.5874886,0.597562,0.6055703,0.60695606,0.5983198,0.5808193,0.5616777,0.5488569,0.54652137,0.5502697,0.5518392,0.5429904,0.52243465,0.49411455,0.46538067,0.44103,0.4221476,0.4059784,0.38949618,0.37223947,0.35890076,0.35803333,0.37710163,0.41469297,0.4589394,0.4939288,0.5127296,0.5215058,0.53493476,0.5621776,0.6010909,0.6392472,0.6654656,0.67711705,0.67994094,0.6799658,0.67683715,0.66672975,0.6483243,0.626416,0.6074371,0.5936389,0.58228946,0.5692689,0.55544585,0.54562616,0.544442,0.549309,0.5526557,0.5484624,0.538987,0.5321333,0.5329222,0.5387009,0.542089,0.5393446,0.53291804,0.5275245,0.52432036,0.5204842,0.5150728,0.5117056,0.51591706,0.527023,0.53815556,0.54137176,0.5355389,0.5226135,0.5037033,0.4753952,0.43839213,0.39892963,0.3691673,0.3563079,0.36115202,0.37696585,0.39746094,0.4194592,0.44363233,0.47078785,0.49825382,0.5216277,0.53548604,0.53769875,0.52845556,0.5133651,0.5004217,0.4981164,0.5084299,0.52706,0.5464341,0.56272554,0.57636243,0.58946174,0.6014822,0.61112386,0.6166365,0.61958146,0.6201146,0.61882275,0.6121936,0.59792536,0.5749011,0.54676265,0.5192757,0.4968786,0.48201892,0.47360596,0.47166932,0.47494856,0.4841169,0.4976699,0.5147897,0.5330441,0.5508056,0.5653734,0.5743036,0.57478905,0.5669221,0.5536884,0.54226035,0.53825974,0.5444379,0.55692023,0.57055926,0.57928723,0.58119535,0.57591754,0.56651074,0.55465055,0.5413556,0.5248289,0.505156,0.4862144,0.47840333,0.4939628,0.5396898,0.6097142,0.68779117,0.7571173,0.8101552,0.8490209,0.8781471,0.8983241,0.9067939,0.90225905,0.88673687,0.8644716,0.83778006,0.8046799,0.7590001,0.6943898,0.6107874,0.51766676,0.43121907,0.3657254,0.32709625,0.31212127,0.31310984,0.32221648,0.33356282,0.34274462,0.34725323,0.3463088,0.34159186,0.33504692,0.32805434,0.32026362,0.31194547,0.30427518,0.29938945,0.29774794,0.2983743,0.2991672,0.2989069,0.29684225,0.29288802,0.28705454,0.27984992,0.2722049,0.26539838,0.260674,0.25871345,0.25919983,0.26116547,0.26333654,0.2647779,0.264536,0.26212728,0.257612,0.25199595,0.24643914,0.2416146,0.23737206,0.23295264,0.22753131,0.22052443,0.21231972,0.20408368,0.19744474,0.19318087,0.19100983,0.18976521,0.1884924,0.18682058,0.18488687,0.18282343,0.18070859,0.17861944,0.17674339,0.17486495,0.17237179,0.16832243,0.1624629,0.15542054,0.14875686,0.14384027,0.14125687,0.14041883,0.14021361,0.13958178,0.13800627,0.13543083,0.13212867,0.12846427,0.12489798,0.12224772,0.12317882,0.13328205,0.16083132,0.21020459,0.27642068,0.34136185,0.38513497,0.39577425,0.3790256,0.3492187,0.32119536,0.30065605,0.28714237,0.2772443,0.2690051,0.26196536,0.25629053,0.25149956,0.24638312,0.23993413,0.2324817,0.22596468,0.22287507,0.22439462,0.22882877,0.23149073,0.22615194,0.20782785,0.17570835,0.13469765,0.09350693,0.06011266,0.037835926,0.025082132,0.01818158,0.014088779,0.011287324,0.009200795,0.007617066,0.0064174985,0.005531624,0.004900288,0.004458022,0.0041441033,0.0039010115,0.0036801863,0.0034467299,0.003196614,0.0029511114,0.0027440565,0.0026028464,0.0025496178,0.0025970505,0.0027268592,0.0028870383,0.0030134993,0.003095182,0.0031455474,0.0031880538,0.0032819808,0.0036903836,0.0048792567,0.0071040243,0.009923324,0.012141013,0.012706074,0.011520912,0.009619365,0.008104869,0.007368091,0.0070858994,0.0072297775,0.008580355,0.011857486,0.016529297,0.020369245,0.021358788,0.019131886,0.015455428,0.012211834,0.010181096,0.009552483,0.011678976,0.02006731,0.036666524,0.059094757,0.07870042,0.08742108,0.081961244,0.06706247,0.049797174,0.036380094,0.031853985,0.04311354,0.08035766,0.1471411,0.23480809,0.3191148,0.37880716,0.405069,0.40745783,0.3991196,0.39009663,0.3839246,0.3824549,0.38655213,0.39479113,0.40319714,0.4080185,0.40929553,0.41224432,0.42188355,0.43883517,0.4559289,0.4660671,0.46621165,0.460673,0.45372352,0.44736865,0.44029117,0.43274677,0.42747748,0.42933497,0.441555,0.46333575,0.488674,0.5090158,0.5174715,0.512911,0.50025225,0.4874973,0.48080763,0.4818333,0.48767138,0.4935485,0.496123,0.49615636,0.4987181,0.50822765,0.52358556,0.53722996,0.54196256,0.53643274,0.524066,0.50885314,0.49222043,0.47658536,0.46366534,0.45462784,0.4459267,0.43457827,0.41917434,0.4049147,0.3986207,0.40808693,0.43257102,0.46558678,0.49376997,0.51059407,0.5149152,0.51413065,0.5124268,0.5119119,0.50904566,0.5015695,0.48928675,0.47662807,0.4674143,0.46218657,0.45847204,0.45727202,0.4645276,0.48582944,0.51728415,0.5453182,0.5549937,0.5412132,0.51015145,0.47386277,0.4425279,0.42269787,0.41818154,0.42786062,0.44545683,0.45887366,0.4610925,0.4514281,0.43796185,0.42623112,0.41898474,0.4148545,0.41516802,0.42345285,0.4421428,0.46754396,0.49018002,0.5032375,0.5094803,0.5186429,0.53701335,0.5587129,0.5733192,0.5745174,0.5685443,0.56435394,0.56706464,0.5711672,0.5679814,0.55222225,0.5272612,0.5021494,0.48620924,0.4854258,0.49998322,0.5238905,0.5461431,0.55684084,0.55324805,0.5401737,0.5247184,0.51154923,0.50357914,0.504337,0.51650256,0.53910655,0.5650659,0.58520937,0.5910444,0.58119434,0.56039864,0.5394931,0.52396184,0.51257914,0.4956057,0.46971735,0.43847096,0.4121215,0.39412427,0.38167724,0.37083432,0.36384013,0.36892614,0.38844463,0.4162506,0.43667006,0.4414916,0.43111637,0.41631874,0.40408292,0.39826253,0.39952007,0.41045746,0.43213913,0.46095732,0.48989716,0.51345396,0.5323817,0.5504117,0.56976587,0.58702093,0.5972624,0.5984418,0.59441406,0.5913786,0.5927243,0.5966149,0.5986169,0.597328,0.5973011,0.6044623,0.6206677,0.6394786,0.65346646,0.6591198,0.6608186,0.66359574,0.66855836,0.6709247,0.66607815,0.653642,0.6378313,0.62135476,0.6049526,0.58824396,0.57649165,0.57321405,0.5770911,0.5753316,0.5579222,0.5236996,0.4858991,0.45818806,0.44741645,0.44904563,0.45510414,0.45916653,0.4596363,0.45683792,0.4517871,0.44480565,0.43667975,0.42673317,0.4135193,0.3955041,0.37633666,0.36484468,0.37104735,0.39740214,0.43532428,0.47170186,0.498495,0.5190802,0.53860426,0.5566447,0.562769,0.5517009,0.5280731,0.5064261,0.49372566,0.48730993,0.4793551,0.4698148,0.4649503,0.4697182,0.4812343,0.49212465,0.49834034,0.50230986,0.51069623,0.52660894,0.5467678,0.5612306,0.5623446,0.5475088,0.52130955,0.4885751,0.45348707,0.417981,0.38430277,0.35442635,0.3303201,0.3135678,0.30537298,0.30503926,0.30910197,0.3111042,0.30631724,0.29565895,0.28855702,0.2965716,0.32573605,0.37051222,0.41766724,0.4553975,0.48113585,0.50299865,0.5303512,0.5659829,0.6004526,0.6226754,0.6256104,0.6130845,0.59124523,0.5675211,0.5460748,0.5308752,0.5228808,0.5204065,0.5195337,0.51814824,0.51832867,0.5251887,0.540309,0.55863434,0.5689624,0.56355476,0.5410536,0.5076901,0.47072414,0.43758807,0.41461825,0.40663,0.41406628,0.4313159,0.4502455,0.46481887,0.47582623,0.4880003,0.5057388,0.5265784,0.54200125,0.5418587,0.5220958,0.48755848,0.44858408,0.41484967,0.39270023,0.3860769,0.39852658,0.42708424,0.46080443,0.48140803,0.48083067,0.46698847,0.4621903,0.48003963,0.5162212,0.5507831,0.5693504,0.570695,0.56398195,0.5544905,0.5424649,0.5279452,0.51734,0.51872826,0.5325204,0.54888636,0.55348426,0.5407862,0.5176237,0.49976668,0.4981568,0.51221627,0.53141063,0.5460542,0.55451614,0.5614508,0.570489,0.57956535,0.5838451,0.5819531,0.5779762,0.5782194,0.58419096,0.5938492,0.6038398,0.6149997,0.6277719,0.6414353,0.65329343,0.66264963,0.67014736,0.67435646,0.6719916,0.65991837,0.64053965,0.6193363,0.6027308,0.5930558,0.5898575,0.5909231,0.59522736,0.6023627,0.6111509,0.61801153,0.61873776,0.6122694,0.6029658,0.59737664,0.5992106,0.60549074,0.60983676,0.6058841,0.59165066,0.5680813,0.5388519,0.5084074,0.48205337,0.46347368,0.453263,0.44742107,0.4416062,0.4347286,0.43339026,0.44469678,0.47000623,0.49801955,0.514934,0.5138836,0.5024907,0.4939599,0.49690196,0.51017267,0.52771163,0.5468134,0.568417,0.59412473,0.62019426,0.64110965,0.6519612,0.65287113,0.6454962,0.63292855,0.6171079,0.60053974,0.58497614,0.5706354,0.55459356,0.5312961,0.4984297,0.46088338,0.4308807,0.41864517,0.4249692,0.4405645,0.4537047,0.45854148,0.4564277,0.45235166,0.4494158,0.4476821,0.44521865,0.4405202,0.43332255,0.4250009,0.41866776,0.41957927,0.4335908,0.4623576,0.49933162,0.53142697,0.5495868,0.55541533,0.5595806,0.5696778,0.5858461,0.60341406,0.6214542,0.64180493,0.66476244,0.6845894,0.69391847,0.68932796,0.6742566,0.6561156,0.64068747,0.6299031,0.6206754,0.60932624,0.5923045,0.5692916,0.54020447,0.5073247,0.47466353,0.45166603,0.44815695,0.4704139,0.51287055,0.5623618,0.60326487,0.62875324,0.6398557,0.6425574,0.6409181,0.63792115,0.63657695,0.6388159,0.64111143,0.63509196,0.6147614,0.58395535,0.552797,0.52816087,0.50681096,0.48132238,0.44884035,0.41521287,0.39049974,0.38194218,0.39194784,0.41789603,0.45681706,0.50338364,0.5517035,0.59274006,0.6207978,0.6341891,0.63714176,0.63464516,0.6306972,0.62734747,0.6250915,0.62449807,0.62472266,0.6249966,0.6214486,0.6120879,0.59712464,0.58382964,0.5789006,0.5849912,0.5961028,0.6041067,0.60338193,0.59357905,0.5770251,0.55638677,0.5346314,0.5157325,0.50403136,0.50146216,0.5050875,0.5096814,0.5125105,0.5182257,0.5329449,0.5585198,0.58688253,0.60971326,0.623239,0.63204336,0.6399391,0.64804786,0.6543011,0.6581154,0.6596317,0.65818745,0.6517239,0.63884574,0.6210565,0.60166425,0.583605,0.5675532,0.55341095,0.5417417,0.5342513,0.53190476,0.53412277,0.5377481,0.5391312,0.53550595,0.5300472,0.5296455,0.54208916,0.56720954,0.598336,0.6252423,0.6425741,0.6501057,0.6504643,0.6432299,0.6257775,0.5968752,0.56218284,0.53014594,0.508458,0.4994079,0.5050315,0.5250727,0.55696625,0.59138995,0.62095386,0.64475125,0.670733,0.7034679,0.73767155,0.75856,0.75548464,0.7302639,0.6977534,0.6735123,0.6644612,0.6647413,0.66429394,0.65655226,0.6440423,0.63255936,0.6263213,0.62296224,0.61805004,0.60619736,0.5854769,0.5562232,0.5253965,0.5035607,0.50115067,0.5197602,0.5516295,0.58392906,0.6060613,0.61301214,0.6057028,0.5892059,0.57033896,0.55419517,0.5428229,0.5350395,0.52895147,0.5223317,0.51501733,0.5086588,0.5084271,0.5177019,0.5360044,0.5550553,0.56587744,0.56277853,0.54936373,0.53409314,0.52518946,0.5249734,0.5297088,0.5349922,0.5373991,0.5361378,0.52850264,0.5133981,0.4918101,0.4703897,0.45597175,0.45291534,0.459924,0.47391167,0.49167553,0.5112659,0.52859503,0.5390714,0.54017,0.53724605,0.5391667,0.55260617,0.5747238,0.5983014,0.6159203,0.62454134,0.6211655,0.6037917,0.5729004,0.5359245,0.50457424,0.48920175,0.4925646,0.50898176,0.5286618,0.5443303,0.5535302,0.5579824,0.5587055,0.5575778,0.55638343,0.56051654,0.5736363,0.59720284,0.6260899,0.65335435,0.6724382,0.6814565,0.6815245,0.6752389,0.6653506,0.6539862,0.6426828,0.6308629,0.6182068,0.60551584,0.59707123,0.59803766,0.61093545,0.6326466,0.6547145,0.670425,0.6774953,0.67962307,0.67919964,0.6768377,0.67146057,0.6650378,0.66175133,0.66430306,0.67061615,0.6739264,0.6697335,0.6595667,0.65233016,0.6556432,0.6716334,0.6934802,0.7136975,0.72758824,0.7384517,0.7510534,0.7679519,0.78486085,0.79597235,0.8004978,0.80425507,0.81256,0.8207775,0.8175883,0.7956526,0.7613886,0.7267695,0.6989386,0.673377,0.6446323,0.6119606,0.58230346,0.5619846,0.5545878,0.5584824,0.5677495,0.57401466,0.57040554,0.5571564,0.54006785,0.5276637,0.52452916,0.53080916,0.5416834,0.5518977,0.5576367,0.5591302,0.5578716,0.5555229,0.5524297,0.55068636,0.5550448,0.5700915,0.59452033,0.61945796,0.6360703,0.64383465,0.6491089,0.6566848,0.6624585,0.66240764,0.6584429,0.661104,0.67442065,0.69225496,0.70137817,0.6981798,0.6898938,0.6869444,0.68883914,0.68641424,0.671572,0.6457545,0.6166675,0.59030956,0.5689016,0.5530114,0.5446114,0.5441097,0.5467148,0.54360604,0.5275359,0.50073457,0.47426412,0.46279725,0.47486916,0.50797826,0.55001706,0.5860567,0.60734916,0.6143382,0.61352736,0.6107336,0.6077574,0.6051739,0.60429466,0.607076,0.61242574,0.61733824,0.61958367,0.62013555,0.620174,0.61845016,0.61198217,0.6007896,0.5898905,0.5863809,0.5934443,0.6082677,0.6245432,0.63823843,0.64783233,0.6529363,0.65007323,0.63717896,0.61578375,0.5935638,0.5770847,0.5697665,0.5720742,0.5874276,0.61913776,0.66346145,0.70506406,0.7260597,0.7209771,0.7010317,0.6837566,0.6758544,0.67053056,0.65661883,0.63223267,0.6051817,0.5850785,0.5744392,0.569289,0.5645718,0.5582165,0.5504167,0.54142207,0.5309996,0.51964635,0.5092478,0.5026875,0.5010242,0.50236756,0.5017452,0.4954439,0.48362646,0.47193554,0.46749583,0.47463933,0.49080762,0.5086979,0.52125484,0.52654195,0.5271394,0.5255902,0.52243084,0.51698446,0.51225406,0.5145301,0.53116137,0.56317014,0.6026078,0.6356482,0.6510439,0.64803666,0.63365215,0.61843914,0.6085071,0.6069086,0.61288047,0.6246503,0.639217,0.6536186,0.6656367,0.67359644,0.67632467,0.67277986,0.6632349,0.649232,0.63282514,0.614383,0.59318835,0.5697695,0.54832745,0.5356827,0.5360821,0.54795235,0.5636138,0.5758169,0.581871,0.58480287,0.5888965,0.5957585,0.60464406,0.6143337,0.6259222,0.64013255,0.655716,0.6681687,0.67322445,0.66919976,0.6580927,0.6439687,0.6311361,0.62207395,0.61712676,0.614536,0.61258024,0.6091065,0.60364133,0.5963183,0.5905922,0.58991194,0.5975482,0.6121883,0.63020664,0.64621145,0.65680176,0.6602885,0.65698975,0.64908004,0.64047456,0.6359301,0.63683814,0.64072365,0.64196163,0.6384732,0.63145393,0.6234028,0.61245304,0.5948529,0.5701146,0.543165,0.52109426,0.50710547,0.5007517,0.49948004,0.5013291,0.5044818,0.5070266,0.5083773,0.51002634,0.5155939,0.5267078,0.5410251,0.55354375,0.56152105,0.5668378,0.57275516,0.5807813,0.58832544,0.59195423,0.5883775,0.5785152,0.566922,0.5611523,0.5662735,0.5813558,0.60014623,0.6150345,0.6223716,0.6221101,0.61654145,0.6077674,0.59869844,0.5921331,0.5890014,0.58649975,0.5814423,0.5733695,0.5651589,0.556766,0.544297,0.5233129,0.49786565,0.4800941,0.48326468,0.51143223,0.5560198,0.601948,0.6353642,0.6522066,0.6555777,0.6528131,0.6469999,0.639208,0.6300497,0.6238392,0.6239543,0.62896127,0.6325,0.6291829,0.6198001,0.6087856,0.5994504,0.589699,0.57668763,0.5596072,0.5438602,0.53482443,0.53520447,0.5390787,0.53846437,0.5276938,0.5096304,0.4910455,0.47841644,0.4751989,0.48248255,0.49968305,0.5225727,0.54553205,0.5638073,0.5769929,0.5865001,0.59313655,0.5966856,0.59772843,0.5993662,0.6032057,0.60904264,0.61373365,0.61722267,0.6211201,0.63030225,0.6473522,0.6722463,0.6987772,0.71970886,0.73160315,0.7381039,0.7431229,0.74424314,0.73287684,0.7048277,0.6666012,0.6356283,0.6276179,0.6488132,0.6892491,0.73124105,0.75706464,0.7597163,0.7420725,0.7142966,0.6863802,0.66577625,0.6543439,0.65051425,0.6484681,0.64240074,0.6278887,0.60750055,0.58757156,0.5745599,0.56779,0.56297153,0.5567243,0.5512574,0.5505428,0.5565421,0.56844586,0.58489615,0.6051558,0.6266659,0.64517826,0.6566542,0.66201836,0.6650367,0.67029077,0.6778502,0.68678236,0.69395345,0.6987958,0.6994295,0.6963609,0.68859416,0.67731875,0.66380626,0.65171856,0.6434427,0.6389068,0.6345971,0.6275068,0.6177459,0.6096494,0.60762674,0.61312175,0.6226313,0.63120455,0.63572335,0.63678235,0.6363745,0.63568157,0.63466257,0.63351434,0.63223726,0.62929577,0.6205826,0.60347366,0.5788205,0.55209106,0.5259543,0.5002375,0.47092775,0.43945113,0.40989986,0.3892201,0.37887928,0.37826955,0.38550243,0.40269813,0.43238297,0.47359142,0.5167825,0.54793936,0.5569368,0.54629105,0.528805,0.5186463,0.5209752,0.5320765,0.54514974,0.5576773,0.5705579,0.5842051,0.59529454,0.6001392,0.5991865,0.59699464,0.5975649,0.59897393,0.59665936,0.5872672,0.5724809,0.5536677,0.53013223,0.49979237,0.46439946,0.4300634,0.4029844,0.38569626,0.37677816,0.3747604,0.379154,0.38778433,0.39433965,0.3907455,0.3758354,0.3595877,0.3588492,0.38486877,0.4338299,0.4898665,0.5356316,0.56438667,0.57874864,0.5849213,0.58518076,0.58031684,0.571803,0.5628087,0.5544086,0.54569334,0.53603476,0.5281511,0.5267129,0.53327537,0.54307574,0.5464418,0.5377584,0.5204863,0.5055646,0.50126755,0.5069497,0.5146504,0.51536554,0.50451237,0.48207453,0.4521052,0.42004287,0.39103448,0.36776915,0.35061443,0.33871293,0.33101466,0.32700095,0.32668534,0.3308756,0.33852294,0.3464134,0.34952247,0.34804508,0.34773242,0.35818955,0.38272762,0.41705227,0.45081198,0.47647288,0.49247265,0.50330275,0.51429176,0.52720624,0.53885645,0.5436712,0.5385387,0.5255015,0.5110555,0.50167936,0.49971965,0.50162625,0.5004915,0.49086547,0.4736483,0.45663384,0.44941545,0.45535648,0.46861067,0.47862253,0.4784632,0.46872234,0.45425645,0.43959883,0.42496964,0.4091448,0.39038453,0.36976013,0.34865403,0.32868484,0.31060553,0.29622927,0.28954878,0.29477537,0.3135983,0.34221315,0.37519047,0.4083549,0.4415486,0.473731,0.5015721,0.51920766,0.5241421,0.5187922,0.5100134,0.5034159,0.5007437,0.49894878,0.49455297,0.48572245,0.47425675,0.46268257,0.45371556,0.44773862,0.44384816,0.43801975,0.42658624,0.40762898,0.38659692,0.37208346,0.37220767,0.38573954,0.40504992,0.420046,0.42664847,0.4257815,0.4214047,0.416329,0.41319355,0.41438028,0.42122507,0.4315207,0.43990162,0.44098112,0.4336238,0.42129597,0.4102243,0.4043131,0.40443134,0.407187,0.4089739,0.40640342,0.39919364,0.3882104,0.37524578,0.3612171,0.3475435,0.33795628,0.33709693,0.34641966,0.3589281,0.3643955,0.35715345,0.3427831,0.33041683,0.32520497,0.3254561,0.3303178,0.34062842,0.35544488,0.36781788,0.3730279,0.37363735,0.37661085,0.3810837,0.37885022,0.36295947,0.33676872,0.30811775,0.28252268,0.26045713,0.24287613,0.23196465,0.22893268,0.23102231,0.23330511,0.23196743,0.22637497,0.21896903,0.21341152,0.21122068,0.21017921,0.20530586,0.19498138,0.18284243,0.17716353,0.18261229,0.19787295,0.21504675,0.22762235,0.23347805,0.23585387,0.23777069,0.23973306,0.2405144,0.24008934,0.24030422,0.24275945,0.24745293,0.25302362,0.25806892,0.26172844,0.2634287,0.26310775,0.2608193,0.25708893,0.25209075,0.24671014,0.2419232,0.23876558,0.23660368,0.23388894,0.22942175,0.2235,0.21717064,0.21122505,0.20640016,0.20358817,0.20319627,0.2043599,0.20584488,0.20815732,0.21388239,0.22507405,0.2397329,0.25182998,0.25570598,0.25047714,0.23980474,0.22757526,0.2152353,0.20277502,0.19130678,0.18300624,0.17978632,0.18140341,0.18576026,0.18933737,0.18959324,0.18562646,0.17877309,0.17037259,0.16151203,0.15224497,0.14328088,0.13550769,0.1301557,0.12724026,0.12572388,0.12423801,0.12201173,0.119020484,0.114934556,0.10972638,0.10406495,0.0998273,0.09785428,0.0969525,0.09416935,0.08808759,0.07989028,0.072728865,0.06823415,0.06559882,0.06213845,0.05628243,0.048495084,0.040950503,0.03538005,0.032087773,0.029991878,0.027896054,0.025243694,0.02224803,0.01924092,0.016406585,0.013701987,0.011193595,0.008978025,0.007149928,0.0056423508,0.0043832003,0.003331551,0.0025217093,0.0019491679,0.0015712096,0.0013116914,0.0011165628,0.00095385016,0.000812172,0.00068839215,0.00058454863,0.0005005551,0.00043287218,0.0003741597,0.0003194365,0.00026754572,0.00022065475,0.00018097546,0.00014867222,0.00012249815,0.00010046459,8.156688E-05,6.5363E-05,5.2111234E-05,4.1594947E-05,3.3441094E-05,2.687501E-05,2.1433561E-05,1.6796343E-05,1.2961104E-05,9.902001E-06,7.555891E-06,5.759873E-06,4.3631035E-06,3.2719365E-06,2.4572475E-06,1.9028006E-06,1.5763118E-06,1.4194225E-06,1.3798307E-06,1.4114631E-06,1.4717483E-06,1.5125788E-06,1.5046234E-06,1.4627167E-06,1.4318363E-06,1.4701021E-06,1.6030648E-06,1.8087509E-06,2.001066E-06,2.0688624E-06,1.9674974E-06,1.7364385E-06,1.5049973E-06,1.3613941E-06,1.3614913E-06,1.4596498E-06,1.5920467E-06,1.6606045E-06]