Repository: MHKiT-Software/MHKiT-Python (language: python)

Issue:
Automatic optimal threshold for peaks-over-threshold method
Automatic threshold for peaks-over-threshold developed by Vince Neary and Seongho Ahn. 
Merge `develop` into `master`
This is step 2 of #266


Discussion / hints:
FYI @Graham-EGI @mbruggs
MHKiT already has a peaks-over-threshold method, which takes in `threshold` as one of the inputs. This method here is to automatically calculate the "best" threshold. It is from a paper by Vince and Seongho: 

Neary, V. S., S. Ahn, B. E. Seng, M. N. Allahdadi, T. Wang, Z. Yang and R. He (2020). "Characterization of Extreme Wave Conditions for Wave Energy Converter Design and Project Risk Assessment.” J. Mar. Sci. Eng. 2020, 8(4), 289; https://doi.org/10.3390/jmse8040289.

They had it in Matlab and I converted it to Python here.
added the check for independent storms. But results are not matching the original Matlab code. Will debug later.
Hey @cmichelenstrofer I wanted to check in on if you had any offline progress on this PR?
@ssolson No, I really need to to get back to it and wrap it up. I'll try to find some time to do that in the next couple of weeks. 


Fix patch:
diff --git a/examples/data/loads/data_loads_hs.csv b/examples/data/loads/data_loads_hs.csv
new file mode 100644
index 000000000..b8ce5a644
--- /dev/null
+++ b/examples/data/loads/data_loads_hs.csv
@@ -0,0 +1,1 @@
+0.40673,0.39674,0.38505,0.34103,0.32638,0.29334,0.27756,0.24314,0.27054,0.26734,0.28592,0.31243,0.31519,0.31382,0.31842,0.31164,0.32193,0.32552,0.41583,0.46097,0.5903,0.60056,0.59807,0.47145,0.39956,0.33174,0.30878,0.33933,0.36186,0.41105,0.44378,0.49995,0.51834,0.52657,0.51073,0.46741,0.44081,0.46335,0.47525,0.47893,0.48894,0.51576,0.60331,0.61833,0.60673,0.61081,0.61121,0.60853,0.61522,0.60616,0.60381,0.63214,0.67887,0.71968,0.71415,0.69092,0.66211,0.63839,0.63154,0.65849,0.69483,0.72356,0.76615,0.82743,0.88827,0.93331,0.90081,0.894,0.87774,0.82433,0.73227,0.65491,0.6163,0.59649,0.58346,0.57673,0.56418,0.55044,0.53679,0.58198,0.63923,0.64743,0.62527,0.61164,0.56818,0.51309,0.46352,0.42854,0.39806,0.37252,0.35187,0.3377,0.33475,0.32485,0.30345,0.33498,0.3467,0.45412,0.53758,0.59233,0.62677,0.63128,0.6151,0.60881,0.61632,0.63178,0.6215,0.6104,0.58496,0.5526,0.52883,0.52597,0.52455,0.50662,0.50277,0.52675,0.54616,0.5487,0.53767,0.52689,0.52976,0.53932,0.54713,0.52619,0.52608,0.55061,0.56468,0.57256,0.58781,0.62018,0.63852,0.66245,0.67892,0.83736,0.85744,0.88092,0.89095,0.88104,0.85173,0.7994,0.7424,0.70629,0.67639,0.65177,0.627,0.6044,0.57607,0.54327,0.54135,0.56728,0.60913,0.63919,0.68083,0.70501,0.73576,0.77201,0.7834,0.74204,0.66291,0.5664,0.46366,0.37836,0.3259,0.27394,0.23542,0.24537,0.24663,0.24022,0.24025,0.24,0.23742,0.2354,0.23343,0.2385,0.24571,0.24536,0.23821,0.22158,0.20448,0.20515,0.41876,0.47929,0.58691,0.63255,0.5803,0.58085,0.60698,0.74655,0.6665,0.60979,0.58847,0.51944,0.43965,0.34097,0.24883,0.18545,0.14767,0.2635,0.26328,0.2822,0.28477,0.28862,0.28959,0.30021,0.33952,0.39921,0.42238,0.39851,0.41218,0.44517,0.45562,0.46867,0.50943,0.57518,0.59805,0.5953,0.58549,0.56687,0.5268,0.49429,0.46146,0.4231,0.39399,0.36305,0.33316,0.30498,0.40989,0.39836,0.46113,0.55264,0.61511,0.68646,0.77185,0.83336,0.87335,0.90132,0.91426,0.92191,0.92799,0.93554,0.93019,0.92522,0.91571,0.9038,0.89454,0.89019,0.88369,0.88836,0.87286,0.87121,0.84946,0.83863,0.82845,0.79907,0.7885,0.76042,0.7265,0.71225,0.70995,0.71267,0.71283,0.70667,0.70081,0.69979,0.69624,0.69165,0.68591,0.65022,0.59043,0.5354,0.50241,0.49167,0.4852,0.4837,0.48811,0.48225,0.49138,0.5228,0.54825,0.55675,0.55419,0.55581,0.55111,0.55312,0.57888,0.60591,0.60527,0.63873,0.66838,0.68267,0.68221,0.70573,0.7388,0.76272,0.75589,0.74135,0.71775,0.71013,0.74698,0.7856,0.84754,0.88605,0.87995,0.82829,0.76947,0.6827,0.62436,0.59476,0.5708,0.562,0.54969,0.5462,0.53902,0.52336,0.49857,0.46568,0.46224,0.46892,0.46741,0.45807,0.45256,0.45099,0.46577,0.50494,0.55726,0.60723,0.60804,0.59856,0.5928,0.61181,0.63974,0.66241,0.68274,0.69135,0.68373,0.6577,0.61418,0.55408,0.4964,0.48831,0.59493,0.57295,0.54996,0.5426,0.49419,0.42202,0.36271,0.32241,0.29529,0.2825,0.28697,0.28562,0.27507,0.26195,0.27329,0.26555,0.27396,0.27648,0.26276,0.28643,0.33523,0.34191,0.34922,0.35234,0.35734,0.3963,0.43797,0.42066,0.54178,0.537,0.59658,0.6281,0.62202,0.58277,0.56071,0.50989,0.53804,0.59097,0.65242,0.68887,0.70726,0.69102,0.64384,0.6013,0.57454,0.5438,0.54043,0.5207,0.51263,0.5307,0.48783,0.41244,0.39817,0.43928,0.45743,0.52405,0.56666,0.57186,0.56147,0.56096,0.56096,0.55015,0.53381,0.50214,0.49797,0.50212,0.47292,0.38906,0.37538,0.33216,0.31557,0.30012,0.29388,0.39767,0.40925,0.41231,0.3862,0.33126,0.28576,0.41133,0.60993,0.71552,0.75755,0.86747,0.87923,0.80592,0.75449,0.78292,0.69966,0.49306,0.47129,0.50314,0.5328,0.53295,0.49863,0.44675,0.40748,0.39006,0.39012,0.39266,0.3987,0.39954,0.3798,0.35684,0.3686,0.47993,0.58463,0.63111,0.67614,0.73494,0.79819,0.83974,0.89531,0.82367,0.58512,0.40062,0.33343,0.2627,0.29187,0.37802,0.46351,0.50808,0.54568,0.56092,0.56168,0.56948,0.58197,0.59434,0.60414,0.629,0.6653,0.69675,0.73655,0.78725,0.8205,0.84364,0.90413,0.96808,0.99017,0.99166,0.99428,0.99784,1.0131,1.0198,1.015,1.008,1.0032,0.98912,0.96631,0.93623,0.89414,0.84712,0.83269,0.84003,0.85397,0.85946,0.86876,0.86435,0.85025,0.84138,0.84226,0.82936,0.77095,0.70134,0.63949,0.59137,0.54291,0.47542,0.42163,0.4163,0.41284,0.38784,0.36662,0.3472,0.3347,0.32909,0.37619,0.43334,0.43941,0.41252,0.38774,0.35096,0.30802,0.27308,0.24649,0.22004,0.1893,0.17295,0.16668,0.16941,0.16301,0.1749,0.26218,0.38784,0.42428,0.40865,0.47359,0.49346,0.49591,0.56495,0.69791,0.71544,0.68358,0.65463,0.60002,0.49985,0.38949,0.29809,0.23146,0.19269,0.18204,0.41799,0.38635,0.41841,0.5451,0.61934,0.74303,0.84224,0.89024,0.89356,0.89556,0.90128,0.92265,0.94137,0.96356,0.97632,0.98146,0.98522,0.97891,0.96812,0.95457,0.94929,0.96818,0.98323,0.9732,0.94255,0.89788,0.8658,0.84092,0.81822,0.77253,0.68512,0.60865,0.54436,0.48141,0.41663,0.35753,0.31627,0.28802,0.29878,0.35815,0.35068,0.32157,0.31388,0.31983,0.32868,0.35895,0.41613,0.429,0.4059,0.38642,0.36788,0.362,0.35433,0.3622,0.39634,0.39806,0.39058,0.40668,0.39367,0.34645,0.34939,0.34612,0.3701,0.3895,0.40066,0.40208,0.40786,0.42032,0.42706,0.44117,0.46291,0.47522,0.45585,0.45797,0.4849,0.53456,0.58725,0.63838,0.68846,0.71557,0.68387,0.67231,0.65479,0.64181,0.63276,0.61802,0.59098,0.56499,0.54311,0.53251,0.5422,0.55472,0.5597,0.56353,0.57143,0.5851,0.59313,0.59417,0.58823,0.57489,0.55048,0.5257,0.4999,0.47273,0.43603,0.42269,0.4392,0.50454,0.61927,0.75762,0.81382,0.84781,0.87772,0.89557,0.87012,0.82708,0.79875,0.8249,0.86675,0.88941,0.88789,0.90519,0.89723,0.88503,0.90871,0.92145,0.93499,0.92764,0.9045,0.86686,0.79374,0.68406,0.57755,0.53815,0.53718,0.51946,0.50192,0.49287,0.47047,0.42679,0.37764,0.33625,0.30796,0.29116,0.30087,0.3244,0.30648,0.33628,0.47777,0.51147,0.54114,0.57122,0.59788,0.63533,0.66811,0.69032,0.71458,0.70168,0.6844,0.67224,0.62459,0.55837,0.4811,0.42388,0.3623,0.32897,0.36704,0.38737,0.37422,0.39016,0.39221,0.3862,0.38158,0.38777,0.39397,0.39638,0.40768,0.44938,0.46059,0.45795,0.47849,0.57708,0.62231,0.62305,0.59326,0.58159,0.60867,0.64603,0.65832,0.67272,0.68658,0.67504,0.63211,0.59631,0.58334,0.57868,0.57977,0.56427,0.54664,0.53315,0.5204,0.50498,0.47763,0.44218,0.40055,0.37461,0.37811,0.3794,0.36561,0.35104,0.32894,0.31623,0.30682,0.29407,0.27589,0.25908,0.2512,0.24783,0.23923,0.22438,0.20728,0.18936,0.18261,0.32803,0.34324,0.37506,0.41388,0.4398,0.46229,0.52442,0.60068,0.6007,0.58644,0.58829,0.60519,0.61737,0.62911,0.66193,0.74138,0.82353,0.87168,0.92046,0.93377,0.93813,0.9475,0.96768,0.9642,0.91443,0.81482,0.70507,0.57841,0.46933,0.39191,0.3728,0.30912,0.246,0.22525,0.21723,0.21229,0.21861,0.23582,0.25915,0.32205,0.38561,0.40894,0.41898,0.42651,0.43117,0.43608,0.45499,0.46088,0.47998,0.46036,0.44689,0.46081,0.48939,0.51427,0.52456,0.50419,0.48519,0.4811,0.46123,0.43489,0.41994,0.41393,0.43677,0.4513,0.45,0.45311,0.44509,0.43515,0.41761,0.39147,0.36069,0.33547,0.31212,0.29984,0.29219,0.27168,0.25664,0.25103,0.2635,0.25527,0.26834,0.32126,0.34437,0.36391,0.39542,0.42709,0.43941,0.45082,0.47877,0.49243,0.46773,0.46016,0.4489,0.43141,0.42323,0.42344,0.45863,0.42386,0.41481,0.404,0.39168,0.39758,0.37944,0.35143,0.35745,0.36572,0.36889,0.38372,0.44177,0.45164,0.43314,0.43117,0.44318,0.44274,0.45698,0.48064,0.51373,0.5277,0.53086,0.53009,0.51023,0.48372,0.49583,0.5486,0.52623,0.52687,0.5246,0.50204,0.46256,0.42162,0.38497,0.36888,0.35343,0.31964,0.28588,0.25624,0.22449,0.20492,0.19145,0.17117,0.15276,0.14125,0.13315,0.13084,0.13547,0.13207,0.12949,0.12726,0.12181,0.1276,0.21919,0.16887,0.16348,0.144,0.13416,0.11535,0.10289,0.10412,0.11716,0.12348,0.11193,0.09877,0.09164,0.08919,0.08892,0.08805,0.09437,0.1134,0.13348,0.14215,0.19993,0.2021,0.26805,0.36349,0.39045,0.39581,0.3833,0.35593,0.30482,0.25723,0.23259,0.23718,0.25882,0.24781,0.25643,0.25908,0.27247,0.29663,0.29587,0.27487,0.25988,0.28433,0.28291,0.25666,0.2412,0.23523,0.23108,0.23194,0.24066,0.25094,0.25295,0.26324,0.26506,0.26796,0.28942,0.31754,0.3076,0.31816,0.30699,0.29488,0.28622,0.34154,0.39257,0.34873,0.34531,0.35106,0.34408,0.33102,0.43562,0.53254,0.48659,0.46386,0.45349,0.43424,0.39321,0.34236,0.28121,0.2281,0.18564,0.15431,0.37008,0.317,0.30927,0.30634,0.31963,0.4023,0.46791,0.45801,0.44858,0.44805,0.43287,0.41708,0.4538,0.57104,0.64739,0.65439,0.66097,0.66401,0.64798,0.61782,0.57991,0.5468,0.52635,0.50556,0.47502,0.45486,0.42268,0.4061,0.40948,0.41045,0.41407,0.39277,0.36882,0.36814,0.36434,0.36794,0.39401,0.44127,0.4323,0.42982,0.45618,0.48847,0.49054,0.50046,0.52162,0.56098,0.58584,0.58195,0.55088,0.52797,0.52431,0.55145,0.60233,0.66853,0.75518,0.75436,0.70967,0.68423,0.6412,0.61993,0.62692,0.6357,0.63159,0.59958,0.53841,0.50187,0.47535,0.46223,0.48485,0.53382,0.57975,0.5854,0.57618,0.55782,0.53051,0.51,0.51272,0.50814,0.48971,0.46406,0.42422,0.38983,0.37333,0.35954,0.39315,0.38687,0.36159,0.36229,0.364,0.38672,0.39276,0.39224,0.37814,0.37077,0.36803,0.36742,0.36256,0.35253,0.34228,0.32967,0.33083,0.3436,0.31119,0.29431,0.35462,0.32908,0.31019,0.3104,0.30805,0.30429,0.28519,0.25833,0.23403,0.2084,0.19238,0.18411,0.16854,0.1437,0.11847,0.09932,0.08694,0.07712,0.06854,0.06106,0.05982,0.05576,0.04934,0.05297,0.06451,0.09122,0.11797,0.11497,0.10117,0.3343,0.39155,0.49216,0.55891,0.61463,0.65836,0.71961,0.80299,0.83809,0.83837,0.81445,0.77539,0.77807,0.83431,0.89493,0.93244,0.92533,0.93679,0.95197,0.95239,0.9513,0.96362,0.97249,0.9652,0.94064,0.90632,0.87133,0.86431,0.87762,0.88351,0.92298,0.95054,0.94347,0.94468,0.94036,0.93357,0.93611,0.95049,0.96612,0.97129,0.9529,0.93409,0.91232,0.88503,0.85587,0.86048,0.88963,0.88924,0.85363,0.81752,0.78344,0.7587,0.75462,0.75913,0.76702,0.7363,0.6637,0.59624,0.5188,0.45432,0.4005,0.38004,0.37909,0.39277,0.36779,0.33045,0.29984,0.2695,0.24651,0.22379,0.20225,0.2033,0.20475,0.2241,0.22729,0.20564,0.18348,0.20886,0.36642,0.45148,0.44052,0.42088,0.4503,0.52661,0.54857,0.54076,0.53664,0.52002,0.50329,0.49216,0.48295,0.49118,0.50535,0.47492,0.44168,0.39752,0.34691,0.3151,0.29121,0.30114,0.37884,0.37403,0.35747,0.35117,0.33063,0.29901,0.26203,0.29124,0.36749,0.31971,0.30018,0.29681,0.28843,0.28713,0.26849,0.25019,0.25043,0.24299,0.23212,0.22422,0.22582,0.23452,0.24231,0.25056,0.27641,0.3234,0.33235,0.36287,0.39609,0.43088,0.4778,0.50299,0.56605,0.57664,0.55748,0.54214,0.53189,0.53421,0.54015,0.5528,0.58213,0.55886,0.51828,0.48644,0.46069,0.44194,0.44235,0.48407,0.51819,0.51454,0.53726,0.55816,0.56507,0.56733,0.57391,0.59044,0.62512,0.63892,0.62416,0.60041,0.57547,0.536,0.48513,0.44769,0.42568,0.40412,0.38873,0.36741,0.3535,0.34998,0.34176,0.31846,0.29369,0.27699,0.2522,0.23477,0.21952,0.21041,0.20555,0.20018,0.18962,0.17547,0.15481,0.13734,0.12728,0.12349,0.13018,0.1454,0.15763,0.16212,0.15231,0.15319,0.14975,0.15975,0.21016,0.28148,0.28935,0.26731,0.25332,0.24001,0.22172,0.19645,0.19194,0.19615,0.17466,0.16897,0.17253,0.16308,0.15439,0.15818,0.17076,0.22627,0.23726,0.19532,0.1849,0.17447,0.16466,0.16053,0.16546,0.20141,0.19214,0.16105,0.15782,0.17301,0.20366,0.23765,0.28002,0.3514,0.31335,0.28815,0.28092,0.27211,0.25711,0.24322,0.31655,0.27443,0.28796,0.28701,0.28184,0.29517,0.29365,0.29423,0.34131,0.36334,0.33061,0.29722,0.29216,0.29861,0.30068,0.29111,0.25355,0.22382,0.23915,0.25631,0.23385,0.23002,0.23629,0.24294,0.24875,0.23948,0.21793,0.19738,0.19363,0.19341,0.18914,0.18125,0.17319,0.16577,0.15363,0.13708,0.12499,0.12012,0.12265,0.12418,0.13099,0.21414,0.20353,0.16274,0.15601,0.15228,0.15826,0.20696,0.27745,0.30224,0.30572,0.32436,0.33554,0.32627,0.32002,0.3251,0.35185,0.35935,0.34605,0.33566,0.34139,0.34318,0.36415,0.38138,0.39873,0.42345,0.43825,0.45205,0.46084,0.47239,0.49,0.54233,0.56772,0.60261,0.60452,0.57552,0.53522,0.4975,0.44862,0.41987,0.41873,0.42551,0.40274,0.35804,0.32815,0.30092,0.28111,0.26323,0.25199,0.2622,0.24548,0.22713,0.2191,0.20767,0.18854,0.1593,0.12803,0.10393,0.08752,0.08538,0.07633,0.07049,0.07745,0.07944,0.08638,0.10291,0.10442,0.0959,0.09204,0.11971,0.13361,0.15177,0.16635,0.1725,0.20672,0.21495,0.22297,0.22985,0.23346,0.23714,0.25032,0.33363,0.34201,0.30261,0.28874,0.27461,0.25381,0.23269,0.20114,0.16546,0.15853,0.16726,0.1634,0.15873,0.15339,0.14224,0.13754,0.23255,0.19189,0.17538,0.16425,0.15106,0.1347,0.10732,0.09386,0.25632,0.19776,0.15912,0.14971,0.14651,0.148,0.12862,0.09346,0.08,0.11332,0.0945,0.12593,0.11214,0.09275,0.0878,0.09067,0.10037,0.09661,0.11802,0.16071,0.16832,0.16836,0.19864,0.25593,0.24732,0.2156,0.21829,0.24373,0.27682,0.30344,0.3001,0.27411,0.26411,0.26294,0.26587,0.28961,0.27887,0.28556,0.34087,0.37381,0.39871,0.40497,0.41053,0.43541,0.47438,0.5222,0.58596,0.6439,0.74473,0.81776,0.85229,0.84665,0.80303,0.78351,0.7943,0.7903,0.74678,0.69399,0.64801,0.6068,0.55938,0.50803,0.46501,0.42006,0.38839,0.36907,0.34862,0.32581,0.30609,0.28878,0.27107,0.25597,0.25051,0.24652,0.24448,0.27792,0.26613,0.24938,0.25733,0.31916,0.35983,0.3579,0.39134,0.37305,0.35732,0.36022,0.36948,0.36791,0.34837,0.32088,0.31218,0.3042,0.2922,0.2755,0.2545,0.24849,0.30296,0.29693,0.26996,0.25061,0.22843,0.20538,0.18528,0.16721,0.18672,0.26014,0.21159,0.19187,0.17857,0.15989,0.13906,0.11828,0.21151,0.23783,0.19726,0.17571,0.19068,0.19286,0.18586,0.1765,0.24176,0.25157,0.21753,0.20199,0.22186,0.22828,0.22852,0.22619,0.23034,0.22324,0.20254,0.187,0.17806,0.17204,0.17665,0.2015,0.23213,0.25674,0.27233,0.27752,0.2794,0.27883,0.28682,0.33134,0.35434,0.31781,0.29369,0.27391,0.25694,0.24379,0.22968,0.20936,0.17685,0.15001,0.1302,0.1091,0.09349,0.07984,0.07066,0.05898,0.05396,0.05681,0.0632,0.07745,0.08198,0.07493,0.06234,0.06423,0.09962,0.11628,0.32997,0.28636,0.32849,0.40459,0.46604,0.52618,0.57306,0.59945,0.60233,0.6287,0.6738,0.74015,0.85634,0.94409,0.98228,0.99013,1.006,1.0188,1.0233,1.0355,1.0405,1.0458,1.0432,1.0406,1.0402,1.0305,1.0147,0.98848,0.94343,0.8658,0.75034,0.64375,0.56356,0.51676,0.4869,0.45636,0.432,0.43598,0.41793,0.37959,0.36442,0.36439,0.36577,0.38684,0.43962,0.5257,0.56248,0.56641,0.58018,0.57004,0.55232,0.52949,0.52135,0.51156,0.46829,0.41034,0.37405,0.3363,0.29924,0.26188,0.24121,0.26677,0.2406,0.23376,0.23362,0.23359,0.23548,0.23703,0.2474,0.28329,0.3013,0.29211,0.30922,0.33912,0.36193,0.37486,0.41314,0.45198,0.46057,0.44451,0.44991,0.45129,0.44151,0.44048,0.4666,0.49677,0.51753,0.50485,0.49589,0.49639,0.48571,0.47144,0.46234,0.4631,0.46626,0.5064,0.51257,0.44525,0.39173,0.34941,0.30882,0.27294,0.24508,0.22857,0.22061,0.20956,0.1908,0.17029,0.15476,0.14933,0.14991,0.14283,0.14176,0.14137,0.13801,0.13892,0.14331,0.14603,0.15055,0.15159,0.15156,0.14925,0.14601,0.15208,0.16898,0.16734,0.15367,0.13745,0.13995,0.15999,0.19529,0.226,0.24471,0.24494,0.2397,0.23093,0.22338,0.22578,0.22245,0.21633,0.21448,0.21483,0.21877,0.38429,0.27646,0.27621,0.26028,0.25778,0.24581,0.22491,0.22217,0.21052,0.19498,0.18645,0.19364,0.20213,0.20976,0.20156,0.19651,0.19273,0.19022,0.18948,0.19075,0.19324,0.19557,0.19719,0.19884,0.20087,0.20426,0.21116,0.21718,0.223,0.22578,0.23022,0.23522,0.24463,0.2581,0.27214,0.29051,0.31811,0.35393,0.41364,0.41701,0.40454,0.39367,0.39485,0.41494,0.44416,0.44646,0.44288,0.4377,0.43617,0.44346,0.4587,0.45628,0.44353,0.42314,0.39726,0.37988,0.36368,0.34811,0.33171,0.31408,0.29596,0.27886,0.26577,0.26808,0.27795,0.28106,0.27321,0.27781,0.29161,0.31399,0.33349,0.33633,0.35925,0.36745,0.36972,0.39488,0.42494,0.45181,0.44186,0.4294,0.42648,0.43053,0.41405,0.40883,0.45148,0.4913,0.54261,0.54655,0.54271,0.55217,0.55883,0.56092,0.57281,0.5887,0.57161,0.55656,0.54575,0.53749,0.51882,0.50887,0.51993,0.54434,0.56332,0.53882,0.50585,0.4865,0.47791,0.47907,0.50827,0.49857,0.47224,0.45415,0.44797,0.43654,0.41796,0.39634,0.38243,0.40066,0.45804,0.44747,0.42169,0.39575,0.37795,0.36125,0.35236,0.36312,0.3807,0.36302,0.34226,0.32497,0.30599,0.28498,0.26542,0.26002,0.28488,0.25621,0.23793,0.22239,0.20684,0.20444,0.21613,0.25928,0.23243,0.21396,0.20654,0.20377,0.20021,0.19404,0.19093,0.18854,0.18695,0.18574,0.18469,0.18439,0.18457,0.1899,0.20468,0.21633,0.22159,0.22226,0.21666,0.20615,0.19599,0.18689,0.18044,0.1767,0.17458,0.17643,0.179,0.1828,0.18671,0.19564,0.22281,0.25606,0.28888,0.29068,0.29921,0.29802,0.28825,0.2967,0.32279,0.35125,0.37813,0.37502,0.3503,0.33676,0.33481,0.36885,0.42096,0.43325,0.43808,0.43231,0.39568,0.36785,0.34775,0.33648,0.35647,0.33914,0.33241,0.33325,0.32606,0.31013,0.31462,0.34749,0.4025,0.40124,0.36166,0.36164,0.35987,0.36583,0.36479,0.36965,0.39227,0.41208,0.41364,0.41274,0.40538,0.39046,0.38243,0.40408,0.47221,0.51021,0.52432,0.54249,0.53756,0.52319,0.53252,0.61625,0.71305,0.72257,0.6726,0.63073,0.59818,0.57482,0.56258,0.58965,0.62615,0.62857,0.61227,0.58488,0.55537,0.52353,0.49318,0.47266,0.463,0.45682,0.43756,0.40159,0.37038,0.34902,0.32998,0.31236,0.2948,0.2756,0.26252,0.26313,0.2704,0.27637,0.28472,0.28638,0.30578,0.30175,0.29534,0.30032,0.3054,0.30585,0.30943,0.3352,0.40138,0.42737,0.42147,0.42472,0.42997,0.43228,0.4331,0.43489,0.44968,0.47181,0.44283,0.40104,0.37179,0.34769,0.33086,0.31892,0.33928,0.38233,0.37176,0.35381,0.34074,0.33236,0.32382,0.31298,0.30426,0.29282,0.26774,0.24667,0.22491,0.20742,0.19354,0.18494,0.18607,0.19466,0.19923,0.20094,0.20112,0.1948,0.18377,0.18383,0.22286,0.32993,0.40582,0.42111,0.39648,0.37433,0.37326,0.38394,0.38842,0.37475,0.34776,0.32004,0.29953,0.29476,0.30245,0.29603,0.28356,0.28254,0.30417,0.32295,0.32656,0.31097,0.28362,0.25766,0.24959,0.26234,0.26362,0.2578,0.24817,0.23821,0.22621,0.21387,0.20729,0.21545,0.21545,0.21103,0.20381,0.19579,0.1909,0.19107,0.19586,0.20606,0.21777,0.22487,0.2268,0.227,0.40813,0.33192,0.35669,0.44221,0.51166,0.54633,0.54388,0.53598,0.55428,0.64908,0.77256,0.79772,0.77512,0.76738,0.79921,0.84114,0.87012,0.92156,0.94778,0.93534,0.91056,0.86251,0.81755,0.76778,0.70038,0.63458,0.58664,0.53436,0.48624,0.45407,0.43222,0.42235,0.42553,0.43827,0.45143,0.4606,0.45961,0.43657,0.40976,0.3821,0.35774,0.33815,0.32569,0.32257,0.32351,0.32123,0.31867,0.31502,0.30486,0.29058,0.27844,0.26488,0.24908,0.23708,0.22786,0.21996,0.21112,0.2016,0.19205,0.18348,0.17531,0.18052,0.24911,0.30554,0.27651,0.28302,0.32,0.34724,0.3771,0.40235,0.41016,0.42225,0.44638,0.48025,0.50326,0.49425,0.45754,0.447,0.43425,0.4199,0.41979,0.4585,0.49805,0.49984,0.46742,0.45588,0.44134,0.42281,0.41564,0.45591,0.51834,0.57355,0.56868,0.54653,0.53405,0.52464,0.53113,0.56402,0.58147,0.58111,0.5628,0.54243,0.52544,0.49445,0.46437,0.44119,0.42813,0.41744,0.39651,0.3609,0.33127,0.30004,0.27426,0.24461,0.22231,0.20635,0.19533,0.18594,0.17878,0.17302,0.17723,0.17219,0.17208,0.15461,0.14691,0.14105,0.13673,0.13577,0.15401,0.14702,0.14188,0.14618,0.18103,0.22587,0.27945,0.27225,0.27001,0.28537,0.27631,0.27136,0.268,0.26082,0.25652,0.25409,0.2478,0.24067,0.23789,0.24341,0.23827,0.22511,0.21232,0.19685,0.18484,0.17141,0.15643,0.14193,0.12994,0.13446,0.23434,0.49944,0.73151,0.83017,0.88421,0.91369,0.94369,0.95018,0.93955,0.92887,0.90996,0.89548,0.88812,0.90306,0.90469,0.90081,0.86649,0.81468,0.78361,0.76259,0.73938,0.719,0.67032,0.60327,0.54595,0.49554,0.45812,0.44296,0.44438,0.45248,0.43101,0.40747,0.38413,0.33591,0.31521,0.2861,0.25966,0.23289,0.21423,0.19056,0.17133,0.15524,0.14711,0.14116,0.1305,0.11899,0.10928,0.13685,0.17286,0.19288,0.27086,0.33079,0.3396,0.32469,0.33085,0.36468,0.46885,0.57996,0.6473,0.69441,0.75421,0.79764,0.83546,0.87206,0.92022,0.95571,0.95151,0.95102,0.95434,0.95433,0.94789,0.91772,0.84222,0.76121,0.67668,0.59444,0.52344,0.45148,0.38637,0.33538,0.30745,0.29631,0.31192,0.30867,0.31955,0.33382,0.36218,0.3784,0.38554,0.3825,0.36767,0.35809,0.36114,0.37112,0.37164,0.36823,0.39238,0.42596,0.42773,0.43995,0.44527,0.45321,0.47201,0.51309,0.6127,0.62225,0.62823,0.64077,0.6517,0.63683,0.6201,0.60304,0.57337,0.5181,0.48548,0.47811,0.45138,0.42967,0.419,0.42985,0.41594,0.40083,0.40036,0.41165,0.44595,0.49873,0.60827,0.68785,0.74919,0.8207,0.91129,0.91668,0.94872,0.97034,0.97912,1.0108,1.0225,1.0237,1.018,1.0186,1.0171,1.0232,1.0228,1.0243,1.0234,1.0224,1.0213,1.0207,1.0159,1.0172,1.0192,1.0216,1.0238,1.0247,1.021,1.0213,1.0239,1.0195,1.0148,1.0144,1.0121,1.0025,0.96617,0.92515,0.82908,0.72706,0.73006,0.74442,0.84755,0.92098,0.94847,0.91192,0.90822,0.92318,0.92419,0.90708,0.89881,0.86849,0.79647,0.72102,0.57819,0.42121,0.32473,0.26812,0.22633,0.19292,0.17143,0.17324,0.19528,0.29046,0.38657,0.45214,0.48077,0.48395,0.48267,0.49055,0.47207,0.45675,0.42838,0.39298,0.36339,0.34775,0.33532,0.31995,0.30708,0.29584,0.28269,0.26686,0.24448,0.24872,0.28481,0.36204,0.50519,0.61031,0.64085,0.71148,0.75865,0.7893,0.84537,0.8959,0.92131,0.93961,0.96536,0.99417,1.0025,0.99255,0.97632,0.96835,0.96737,0.9698,0.97171,0.97272,0.9661,0.9396,0.88624,0.79384,0.69012,0.61471,0.53301,0.46253,0.41701,0.37792,0.35823,0.35411,0.36181,0.37911,0.38833,0.40198,0.43664,0.47782,0.50041,0.53878,0.57913,0.6199,0.6408,0.67164,0.69799,0.69962,0.6872,0.6567,0.62198,0.59369,0.57343,0.55904,0.55132,0.54677,0.5535,0.59348,0.60421,0.57739,0.54818,0.53782,0.52744,0.51551,0.51272,0.51975,0.50896,0.49613,0.49327,0.5078,0.5375,0.54564,0.52729,0.49612,0.47683,0.49706,0.54265,0.5792,0.62033,0.65941,0.69156,0.70379,0.67715,0.61384,0.53399,0.47498,0.42968,0.37694,0.32398,0.28653,0.26789,0.26312,0.29219,0.33274,0.41416,0.53094,0.58017,0.60773,0.67452,0.76475,0.80468,0.82433,0.86056,0.90746,0.92492,0.92738,0.93429,0.94547,0.96232,0.97352,0.98346,0.99042,0.99694,0.99202,0.98763,0.98532,0.98455,0.97745,0.9602,0.9357,0.90264,0.87095,0.84295,0.80941,0.77391,0.76731,0.8037,0.80387,0.81227,0.83813,0.86521,0.87734,0.89065,0.94214,0.99744,1.0057,0.97904,0.95686,0.93541,0.89639,0.83487,0.78169,0.73427,0.67771,0.60231,0.53561,0.48284,0.44029,0.41479,0.42127,0.43324,0.46259,0.4669,0.45381,0.42811,0.37819,0.32605,0.28766,0.26137,0.24108,0.22245,0.2081,0.26127,0.32467,0.35444,0.4005,0.51374,0.61872,0.64255,0.64304,0.61794,0.60859,0.60113,0.57931,0.55381,0.52027,0.46588,0.42806,0.41521,0.40184,0.38476,0.36557,0.33968,0.31369,0.29546,0.27951,0.26289,0.25023,0.24006,0.23028,0.22258,0.21577,0.20901,0.20359,0.19823,0.19373,0.18817,0.17163,0.14899,0.27196,0.25847,0.31496,0.33629,0.3447,0.34482,0.32622,0.30643,0.27012,0.24184,0.22212,0.20034,0.25407,0.2394,0.22853,0.30462,0.41677,0.42321,0.39458,0.39991,0.42995,0.45496,0.49812,0.54789,0.56286,0.5476,0.51446,0.53115,0.56496,0.62032,0.65171,0.65213,0.63384,0.61309,0.59549,0.58196,0.57354,0.57513,0.58817,0.58598,0.57685,0.56895,0.55483,0.50905,0.44607,0.38394,0.34978,0.36157,0.40069,0.3779,0.39468,0.47222,0.59336,0.75576,0.89444,0.95942,0.97568,0.97263,0.96141,0.94205,0.89786,0.81967,0.72177,0.62596,0.55388,0.51509,0.47923,0.43491,0.39343,0.35593,0.32291,0.29846,0.38297,0.41405,0.40259,0.40684,0.40241,0.41341,0.4299,0.45945,0.50006,0.53295,0.5403,0.47626,0.46506,0.56831,0.58593,0.54371,0.57042,0.7453,0.85283,0.88342,0.8924,0.88734,0.86459,0.83605,0.80206,0.77107,0.73967,0.71636,0.68733,0.66374,0.64278,0.61459,0.59728,0.58667,0.59004,0.60028,0.60798,0.61248,0.6079,0.60611,0.6116,0.62177,0.63135,0.6368,0.63539,0.62617,0.60747,0.57826,0.54508,0.51396,0.51299,0.52592,0.54078,0.54536,0.53604,0.52065,0.50344,0.4801,0.45791,0.45514,0.4498,0.43502,0.41389,0.38592,0.36295,0.35438,0.37494,0.41077,0.42943,0.42454,0.41431,0.40282,0.3969,0.39186,0.38187,0.37128,0.34233,0.29912,0.2621,0.24422,0.24701,0.26221,0.27289,0.26995,0.26468,0.29075,0.29161,0.31882,0.41623,0.48356,0.47998,0.4786,0.49971,0.52487,0.54632,0.60511,0.65527,0.68798,0.70416,0.69647,0.77355,0.86469,0.87287,0.84503,0.77912,0.70416,0.65119,0.61242,0.57349,0.54077,0.50981,0.4847,0.46292,0.43833,0.4137,0.39067,0.36941,0.34269,0.31562,0.29022,0.26718,0.24515,0.22461,0.21914,0.22217,0.23742,0.28971,0.33488,0.36019,0.38259,0.4091,0.45686,0.49339,0.51266,0.51596,0.5143,0.51096,0.50609,0.49287,0.48222,0.48213,0.49419,0.52563,0.56388,0.57679,0.59899,0.61112,0.65982,0.72769,0.7535,0.77316,0.7905,0.81624,0.84644,0.87438,0.89991,0.89137,0.85834,0.84262,0.85271,0.87706,0.88015,0.86863,0.85091,0.82473,0.78236,0.74874,0.71902,0.67909,0.63385,0.60659,0.58227,0.5566,0.53078,0.50499,0.47413,0.44186,0.40875,0.37081,0.32857,0.29809,0.32312,0.34106,0.35907,0.43202,0.51181,0.57149,0.61536,0.66345,0.71767,0.7621,0.79564,0.81931,0.8402,0.84838,0.85153,0.8417,0.83094,0.82318,0.82083,0.80905,0.77821,0.74407,0.73121,0.74906,0.76536,0.76407,0.76364,0.75601,0.7437,0.76829,0.7631,0.69719,0.62582,0.59315,0.54962,0.49911,0.46607,0.43783,0.41526,0.39228,0.36281,0.36519,0.31966,0.32173,0.31937,0.31248,0.30487,0.29137,0.27837,0.27183,0.27501,0.27305,0.26633,0.2583,0.24662,0.24734,0.26353,0.25087,0.24982,0.25278,0.2672,0.27228,0.28419,0.30241,0.33573,0.3473,0.34022,0.3522,0.37489,0.37557,0.38776,0.4069,0.40824,0.39473,0.367,0.3358,0.31725,0.3106,0.30815,0.3103,0.31884,0.32946,0.3383,0.34339,0.34805,0.35407,0.34703,0.32999,0.31008,0.29093,0.2754,0.25144,0.22767,0.2617,0.2582,0.22377,0.19769,0.21859,0.24447,0.23223,0.24082,0.27685,0.29322,0.28198,0.27543,0.27131,0.26216,0.25579,0.26509,0.26004,0.22525,0.20169,0.1953,0.1987,0.42362,0.39567,0.43746,0.50878,0.58491,0.67324,0.73813,0.90905,0.96743,0.9725,0.97564,0.99359,0.99421,1.001,1.0068,1.0136,1.0117,1.0046,0.9953,0.97177,0.90826,0.78769,0.65912,0.55624,0.49321,0.47766,0.48554,0.50497,0.52529,0.5492,0.5778,0.6363,0.72202,0.79965,0.80715,0.78387,0.77515,0.76353,0.7233,0.66364,0.63996,0.6479,0.63704,0.61815,0.62631,0.65337,0.69595,0.78486,0.80918,0.786,0.74661,0.69202,0.64409,0.60236,0.56102,0.52926,0.52437,0.49834,0.44901,0.4083,0.37177,0.35343,0.34659,0.42006,0.48964,0.4972,0.48775,0.48649,0.45862,0.41056,0.33421,0.29838,0.39215,0.41897,0.50164,0.55018,0.58297,0.63512,0.65859,0.83977,0.95402,0.99333,0.98872,0.99892,1.0014,0.99194,0.98221,0.96883,0.95061,0.9161,0.85532,0.73464,0.59801,0.57063,0.6151,0.85787,0.89342,0.95517,0.99183,1.0058,1.0104,1.0149,1.0231,1.0238,1.0247,1.023,1.0112,1.0055,1.001,1.0009,0.99396,1.0068,1.0157,1.0159,1.0112,1.0135,1.0106,1.0212,1.038,1.0495,1.0554,1.0536,1.0475,1.0506,1.0481,1.0468,1.0454,1.0476,1.0464,1.0457,1.0421,1.0401,1.0373,1.0331,1.0298,1.0279,1.0248,1.0207,1.012,1.0101,1.0076,1.0029,0.99576,0.99734,0.99889,0.99741,0.98038,0.93857,0.90342,0.86097,0.82792,0.78101,0.73324,0.68227,0.63621,0.56478,0.48027,0.41306,0.36037,0.31571,0.26411,0.23422,0.21618,0.21315,0.21108,0.20882,0.19822,0.20278,0.21103,0.22779,0.23708,0.25149,0.26052,0.26185,0.25994,0.25979,0.25629,0.25816,0.26957,0.27494,0.27667,0.28283,0.28928,0.2763,0.25747,0.24459,0.237,0.24341,0.34426,0.34795,0.34876,0.37555,0.40995,0.4499,0.48552,0.50823,0.52224,0.51738,0.50369,0.47875,0.4613,0.4609,0.46403,0.45232,0.45017,0.44518,0.43498,0.41174,0.39036,0.38424,0.38498,0.38644,0.38379,0.37446,0.36224,0.34822,0.33907,0.35472,0.34034,0.32517,0.32928,0.33068,0.32908,0.33298,0.34889,0.37805,0.38271,0.37795,0.37557,0.35977,0.33128,0.31001,0.30196,0.31702,0.34985,0.37444,0.39885,0.42204,0.44106,0.45311,0.46499,0.48079,0.49497,0.51376,0.51941,0.52311,0.51458,0.49882,0.48648,0.49959,0.51453,0.52144,0.52321,0.53131,0.526,0.51296,0.53241,0.57062,0.60545,0.63503,0.65082,0.6547,0.64083,0.62842,0.6589,0.68186,0.68725,0.62898,0.51895,0.41033,0.31999,0.26182,0.22311,0.19848,0.17748,0.16031,0.14581,0.13605,0.12885,0.12786,0.1329,0.13762,0.13621,0.13564,0.20155,0.27587,0.25213,0.24648,0.27886,0.32506,0.34569,0.36201,0.37963,0.44043,0.48736,0.56755,0.67466,0.77335,0.8191,0.83321,0.8393,0.8416,0.834,0.8112,0.77716,0.74161,0.70962,0.6711,0.62639,0.57916,0.54108,0.51212,0.47895,0.46206,0.45443,0.46462,0.49876,0.52921,0.54155,0.54874,0.59241,0.64735,0.66754,0.67,0.67568,0.67254,0.65184,0.60257,0.56336,0.53312,0.51475,0.50899,0.51022,0.53078,0.55003,0.50004,0.40571,0.34655,0.34482,0.41108,0.45091,0.46651,0.47347,0.46555,0.45588,0.45645,0.46014,0.4841,0.50433,0.5172,0.5239,0.53006,0.52641,0.50004,0.43504,0.36608,0.34854,0.32898,0.33672,0.38402,0.42506,0.44499,0.46845,0.48642,0.48891,0.48213,0.49447,0.53201,0.60551,0.65058,0.62054,0.54981,0.48841,0.50422,0.56915,0.6307,0.63005,0.59728,0.5384,0.48117,0.40018,0.35502,0.33495,0.31782,0.30197,0.29214,0.28604,0.29692,0.30867,0.3284,0.33666,0.36076,0.3758,0.40556,0.41326,0.40216,0.38036,0.37514,0.47986,0.83624,0.99295,0.97737,1.0016,1.0077,1.0002,0.94146,0.79766,0.67494,0.67733,0.53391,0.38512,0.28356,0.2042,0.16106,0.19629,0.18394,0.1566,0.13302,0.14878,0.20486,0.262,0.28832,0.31507,0.34323,0.37465,0.43243,0.47028,0.51554,0.56073,0.59821,0.64674,0.70118,0.76339,0.85578,0.94649,0.98892,1.0012,1.0058,1.0184,1.0275,1.0256,1.0152,0.99635,0.97522,0.95555,0.93656,0.92105,0.92021,0.93248,0.94302,0.93085,0.93373,0.9521,0.96747,0.9926,1.0184,1.0218,1.0168,1.0154,1.0189,1.0135,1.0118,1.0129,1.015,1.017,1.0104,0.99063,0.96962,0.92458,0.82729,0.74336,0.68015,0.65563,0.66352,0.63339,0.57963,0.51821,0.46792,0.45059,0.46031,0.48075,0.48775,0.45427,0.41763,0.38941,0.36076,0.32794,0.30135,0.28114,0.29528,0.26618,0.24774,0.24107,0.24144,0.33551,0.33773,0.45297,0.48642,0.46651,0.46929,0.52044,0.57191,0.66102,0.81885,0.88603,0.91649,0.92041,0.93329,0.92869,0.90102,0.87512,0.86065,0.85335,0.84887,0.80076,0.71889,0.64633,0.56738,0.49175,0.43237,0.42955,0.47297,0.52227,0.56613,0.63025,0.68408,0.74751,0.85609,0.90168,0.92807,0.92973,0.93524,0.95807,0.96921,0.97096,0.97781,0.98575,0.98952,0.98227,0.97677,0.97045,0.96231,0.95215,0.93487,0.90436,0.87036,0.83823,0.83113,0.82885,0.78869,0.76033,0.81555,0.88377,0.92592,0.91744,0.90144,0.90452,0.93015,0.96945,0.98773,0.98954,0.98415,0.96328,0.93705,0.8811,0.83334,0.79473,0.79961,0.81192,0.8435,0.81711,0.76867,0.71311,0.6548,0.58692,0.57557,0.61184,0.63641,0.59661,0.57073,0.55217,0.52888,0.51841,0.59516,0.65688,0.66162,0.63081,0.58016,0.53134,0.50084,0.50139,0.5609,0.62938,0.67867,0.66675,0.6683,0.67423,0.65421,0.64826,0.74306,0.89255,0.94101,0.95164,0.96906,0.98281,0.99209,1.0113,1.0171,1.0193,1.0194,1.0138,1.0133,1.0125,1.0074,1.0053,0.99604,0.98678,0.9806,0.94375,0.8943,0.83355,0.76511,0.69834,0.65911,0.64902,0.63616,0.5896,0.52615,0.4837,0.4402,0.3787,0.32881,0.31222,0.39289,0.37663,0.3596,0.33288,0.29619,0.26595,0.24243,0.21149,0.22263,0.25758,0.26874,0.26328,0.25532,0.23769,0.20438,0.16132,0.14599,0.15067,0.15013,0.14273,0.13652,0.13856,0.1639,0.27281,0.26994,0.31679,0.41879,0.55001,0.62792,0.63638,0.612,0.60382,0.60693,0.58651,0.52244,0.46469,0.41827,0.37425,0.3301,0.29291,0.27925,0.30132,0.31816,0.30463,0.25556,0.31645,0.36252,0.37331,0.37439,0.41848,0.46138,0.45209,0.42828,0.41654,0.46365,0.54159,0.59423,0.58361,0.56679,0.54218,0.5258,0.52791,0.59249,0.69365,0.7057,0.66461,0.61985,0.58066,0.5448,0.52601,0.52493,0.53021,0.53217,0.49901,0.46452,0.4356,0.40502,0.35931,0.32136,0.28766,0.26602,0.2563,0.23534,0.21679,0.21093,0.19897,0.18901,0.17721,0.18064,0.20936,0.18794,0.17835,0.15086,0.12,0.0963,0.08422,0.0755,0.06782,0.1044,0.32067,0.37896,0.48569,0.63989,0.70028,0.75816,0.75584,0.70279,0.66204,0.64772,0.64951,0.65032,0.66191,0.68299,0.62098,0.57259,0.53511,0.49826,0.45876,0.41949,0.39849,0.42654,0.42519,0.41058,0.40504,0.40398,0.40362,0.43394,0.48463,0.53436,0.53789,0.55281,0.61983,0.70371,0.74864,0.77942,0.80603,0.8075,0.78862,0.74922,0.70731,0.66903,0.61641,0.55344,0.50222,0.46315,0.46048,0.47439,0.48309,0.50355,0.54464,0.55184,0.5591,0.55272,0.53301,0.5145,0.49705,0.47813,0.4387,0.40467,0.40968,0.41259,0.41951,0.36427,0.32713,0.30039,0.29326,0.30704,0.35554,0.41293,0.43508,0.44794,0.45756,0.44854,0.44022,0.4424,0.45674,0.48384,0.49851,0.49149,0.46166,0.43078,0.38985,0.35907,0.3204,0.27917,0.28037,0.26902,0.24537,0.23377,0.23687,0.24817,0.24451,0.23799,0.22645,0.22052,0.22035,0.22403,0.33629,0.23952,0.1817,0.17883,0.17934,0.17716,0.16408,0.16176,0.30003,0.24258,0.18723,0.18256,0.17639,0.15572,0.14103,0.21605,0.42363,0.34902,0.29806,0.28433,0.28839,0.27843,0.29371,0.37983,0.40218,0.37634,0.35839,0.36758,0.37199,0.38335,0.42766,0.49548,0.51854,0.47854,0.4534,0.44155,0.42598,0.4337,0.42598,0.49289,0.52399,0.46765,0.44327,0.42506,0.39645,0.35331,0.31243,0.2763,0.26709,0.28207,0.29679,0.28281,0.25313,0.34725,0.35465,0.55629,0.72623,0.7272,0.66899,0.61772,0.58679,0.60111,0.66977,0.76744,0.81851,0.81915,0.82401,0.82562,0.81629,0.82215,0.85507,0.8975,0.92239,0.91701,0.9041,0.88839,0.86576,0.86144,0.88241,0.94039,0.97944,0.97345,0.97377,0.97985,0.98151,0.99097,1.0021,1.0126,1.0137,1.0068,0.99908,0.9892,0.97865,0.96556,0.94187,0.8873,0.80103,0.71219,0.65278,0.59413,0.53992,0.50199,0.49628,0.49493,0.4943,0.48653,0.46929,0.44787,0.42284,0.3937,0.36274,0.33715,0.353,0.36059,0.34324,0.32516,0.3133,0.29647,0.27719,0.25027,0.22547,0.25394,0.26612,0.26784,0.27433,0.29242,0.30666,0.3076,0.30685,0.31171,0.32821,0.32616,0.31938,0.32498,0.37956,0.46299,0.51084,0.51428,0.53732,0.54871,0.54294,0.56191,0.6191,0.67107,0.68587,0.69485,0.68992,0.69038,0.69737,0.71562,0.73182,0.76009,0.7609,0.71833,0.68234,0.63914,0.61415,0.60664,0.61651,0.67602,0.73247,0.73244,0.73799,0.73663,0.75089,0.78705,0.82286,0.85845,0.86185,0.82878,0.77644,0.69539,0.62901,0.60125,0.60737,0.5858,0.55503,0.53396,0.50475,0.45829,0.4057,0.35884,0.34423,0.343,0.3286,0.31883,0.31725,0.3228,0.30576,0.27832,0.23612,0.21775,0.19973,0.21213,0.2241,0.19798,0.1939,0.19334,0.19346,0.1862,0.19334,0.21689,0.21301,0.23117,0.24356,0.26771,0.26069,0.23931,0.2276,0.22459,0.22523,0.21674,0.24505,0.36559,0.39944,0.41125,0.37462,0.36638,0.34434,0.31422,0.33024,0.3846,0.41473,0.4244,0.44412,0.4534,0.45138,0.48684,0.57253,0.63538,0.65222,0.66526,0.67682,0.6731,0.65404,0.66674,0.73149,0.79204,0.78992,0.73334,0.68881,0.66036,0.6278,0.59234,0.59865,0.63568,0.64155,0.59524,0.54708,0.50332,0.45466,0.40341,0.35646,0.33618,0.36665,0.34774,0.31418,0.30458,0.27927,0.24327,0.21225,0.18257,0.1598,0.14253,0.12651,0.11245,0.09851,0.08906,0.09187,0.08427,0.11466,0.36646,0.23338,0.23955,0.22118,0.21375,0.22182,0.23755,0.23201,0.23378,0.23772,0.23374,0.22451,0.21588,0.20759,0.1965,0.1954,0.20202,0.20102,0.18967,0.17758,0.17041,0.16405,0.15863,0.15425,0.15014,0.15058,0.17401,0.18869,0.19971,0.20742,0.20694,0.2186,0.22014,0.19693,0.20554,0.2052,0.20607,0.20358,0.25279,0.31813,0.2939,0.28688,0.29658,0.29346,0.28848,0.33797,0.39226,0.4528,0.46014,0.44001,0.41948,0.39839,0.38291,0.36414,0.3384,0.31233,0.29145,0.29073,0.29068,0.28615,0.2855,0.29162,0.30246,0.3116,0.31871,0.31312,0.29152,0.26056,0.22653,0.20366,0.20487,0.21263,0.20421,0.20825,0.21112,0.20342,0.19383,0.18972,0.19237,0.20346,0.21684,0.27861,0.29006,0.29379,0.34057,0.38261,0.57473,0.77845,0.87083,0.86804,0.87037,0.88027,0.91351,0.96973,0.98318,0.98287,0.96228,0.91464,0.87836,0.84654,0.79165,0.70217,0.6665,0.67537,0.65451,0.62201,0.60053,0.58218,0.56278,0.54697,0.54392,0.55939,0.55149,0.53203,0.5237,0.51329,0.52428,0.55149,0.57206,0.55897,0.50897,0.43531,0.39054,0.37011,0.348,0.31421,0.28241,0.25966,0.2394,0.22354,0.21106,0.20717,0.20566,0.20278,0.19785,0.19796,0.20133,0.19936,0.1961,0.19194,0.18906,0.19919,0.25062,0.33346,0.31094,0.28994,0.29941,0.30511,0.30706,0.3257,0.377,0.42004,0.42757,0.42186,0.40572,0.38711,0.36172,0.34387,0.34378,0.36177,0.36316,0.33441,0.32506,0.31579,0.29896,0.2757,0.26411,0.32712,0.26225,0.26039,0.26371,0.26126,0.24405,0.22277,0.22216,0.30387,0.29526,0.26884,0.26012,0.26271,0.25589,0.2345,0.23282,0.26336,0.28785,0.28129,0.27617,0.28552,0.29109,0.29343,0.31016,0.36272,0.35417,0.3205,0.30877,0.29131,0.27498,0.25351,0.26651,0.2934,0.27395,0.25974,0.26053,0.25812,0.24882,0.23111,0.22646,0.25803,0.23787,0.2391,0.2314,0.21713,0.18514,0.15845,0.14645,0.1586,0.18909,0.17228,0.17002,0.17287,0.1694,0.16331,0.14451,0.12915,0.10983,0.11215,0.13959,0.13359,0.13901,0.12903,0.11264,0.10951,0.1667,0.18673,0.17441,0.15808,0.15921,0.17975,0.24659,0.24529,0.22779,0.22381,0.22865,0.22317,0.20788,0.2138,0.22883,0.23332,0.2284,0.21935,0.21824,0.21149,0.19763,0.17736,0.1499,0.16654,0.21988,0.20064,0.19437,0.18676,0.17359,0.15567,0.14906,0.20429,0.18294,0.18018,0.17882,0.17072,0.15775,0.14921,0.15291,0.16969,0.18105,0.22313,0.24668,0.26544,0.2624,0.30391,0.34176,0.32936,0.33569,0.3154,0.29652,0.27431,0.2754,0.3629,0.38045,0.42007,0.45783,0.5185,0.54266,0.57376,0.61932,0.69444,0.78133,0.80214,0.75191,0.70502,0.66067,0.61292,0.58232,0.5828,0.63324,0.65847,0.63128,0.60891,0.59272,0.571,0.55028,0.53238,0.53845,0.53965,0.51986,0.49861,0.49292,0.49562,0.49566,0.4945,0.5088,0.49117,0.45755,0.42746,0.40356,0.38327,0.36897,0.37417,0.3882,0.37117,0.34049,0.31683,0.29784,0.27861,0.27572,0.26432,0.25967,0.25515,0.252,0.24926,0.24316,0.22886,0.22482,0.30821,0.30713,0.28738,0.29302,0.31699,0.33916,0.35855,0.39095,0.44695,0.51455,0.56508,0.57324,0.55407,0.52929,0.50205,0.48169,0.48604,0.51175,0.52236,0.50746,0.48911,0.47922,0.46975,0.46231,0.46726,0.52457,0.56681,0.52391,0.49864,0.49027,0.48281,0.47118,0.47548,0.48929,0.4841,0.473,0.46941,0.46381,0.44629,0.43692,0.47859,0.54412,0.5614,0.57527,0.58965,0.58603,0.56416,0.53465,0.52542,0.51584,0.47399,0.42228,0.38708,0.36014,0.34099,0.32215,0.30157,0.32215,0.35166,0.32773,0.32057,0.31245,0.29212,0.25523,0.22814,0.23157,0.2851,0.29149,0.27503,0.26473,0.26161,0.26631,0.30576,0.34154,0.40278,0.44826,0.46028,0.47764,0.50692,0.53967,0.56405,0.62139,0.67091,0.66263,0.65439,0.64817,0.62735,0.61547,0.62719,0.65787,0.66365,0.6304,0.60794,0.58747,0.56638,0.53639,0.51044,0.49433,0.47706,0.45037,0.42379,0.40006,0.37683,0.34785,0.32616,0.3338,0.35017,0.34889,0.35955,0.35368,0.33842,0.33039,0.34543,0.39549,0.42039,0.42422,0.43781,0.47655,0.46469,0.45664,0.49263,0.62819,0.71691,0.74702,0.68644,0.70046,0.76196,0.85718,0.95844,0.99301,1.0063,1.0213,1.0291,1.033,1.0334,1.031,1.0319,1.036,1.0352,1.0328,1.0285,1.0241,1.0149,1.0169,1.0234,1.024,1.0222,1.0147,0.99537,0.96356,0.93136,0.82654,0.67047,0.56714,0.49205,0.4407,0.3941,0.33245,0.27593,0.22342,0.19729,0.18346,0.16587,0.15737,0.14966,0.14022,0.13017,0.12103,0.11518,0.1254,0.13237,0.12653,0.13792,0.21123,0.22761,0.2023,0.23325,0.2701,0.29796,0.31401,0.321,0.33284,0.35927,0.38894,0.42762,0.47212,0.49399,0.49813,0.50376,0.50561,0.51467,0.52823,0.55232,0.60606,0.66633,0.7042,0.72388,0.71202,0.6688,0.61037,0.53758,0.47188,0.42576,0.39557,0.37306,0.3538,0.33985,0.32873,0.3313,0.39445,0.44178,0.45673,0.45011,0.44749,0.45559,0.45613,0.44128,0.45319,0.47111,0.45591,0.45494,0.45194,0.43786,0.45568,0.50673,0.5546,0.55521,0.54191,0.52573,0.50829,0.47929,0.44907,0.42518,0.38687,0.35222,0.33948,0.33529,0.32506,0.29745,0.26481,0.23836,0.21922,0.21905,0.21605,0.21888,0.23259,0.23149,0.22777,0.21173,0.19897,0.19114,0.18586,0.18233,0.18432,0.19306,0.20955,0.23267,0.2391,0.24719,0.25322,0.25186,0.25692,0.27142,0.28088,0.27931,0.2785,0.28415,0.29241,0.30197,0.31066,0.31644,0.31593,0.31728,0.32972,0.33362,0.33106,0.33232,0.32401,0.31667,0.31189,0.30543,0.29614,0.28636,0.27613,0.26861,0.26502,0.2673,0.27306,0.27748,0.30042,0.34763,0.36126,0.37348,0.38556,0.39902,0.40871,0.43195,0.46327,0.48255,0.48999,0.49727,0.49655,0.48403,0.46411,0.44458,0.43092,0.41937,0.40928,0.39846,0.38723,0.37516,0.36695,0.36423,0.35462,0.33735,0.32712,0.31905,0.31357,0.31235,0.31363,0.31282,0.30941,0.30419,0.29774,0.29029,0.28374,0.27823,0.27421,0.27149,0.2695,0.26734,0.26466,0.26167,0.25924,0.25672,0.25406,0.25118,0.24811,0.24465,0.24059,0.23686,0.23363,0.2305,0.22744,0.22412,0.22023,0.21619,0.21077,0.20879,0.2112,0.21161,0.2124,0.21144,0.20985,0.20937,0.21136,0.2138,0.21414,0.21333,0.21203,0.21086,0.20845,0.20887,0.21945,0.22848,0.24809,0.26631,0.26651,0.27672,0.32036,0.35526,0.356,0.35847,0.3585,0.3738,0.38555,0.40193,0.40546,0.38124,0.36044,0.35451,0.3426,0.32704,0.30863,0.29142,0.27204,0.26192,0.26001,0.25042,0.24451,0.26201,0.2516,0.24173,0.25195,0.25967,0.26549,0.25685,0.24051,0.2204,0.21527,0.21126,0.19942,0.1845,0.16556,0.14188,0.12868,0.23683,0.25769,0.24455,0.24586,0.2443,0.25204,0.26328,0.265,0.28315,0.30064,0.33666,0.3777,0.41028,0.39601,0.34454,0.32516,0.3075,0.28799,0.27087,0.25858,0.2519,0.24884,0.24967,0.25541,0.26481,0.25621,0.25446,0.32235,0.31838,0.31113,0.29624,0.29417,0.30333,0.33704,0.43039,0.46379,0.45905,0.43387,0.44947,0.45463,0.45307,0.44829,0.47352,0.51724,0.54876,0.56683,0.62151,0.64823,0.64667,0.64517,0.71521,0.78419,0.80782,0.80033,0.7988,0.80609,0.81715,0.83119,0.84657,0.83124,0.79711,0.7544,0.72839,0.69474,0.65268,0.61765,0.58534,0.5903,0.6657,0.69216,0.68275,0.66439,0.66724,0.6756,0.72782,0.78446,0.81713,0.80499,0.78548,0.77368,0.77263,0.76246,0.74995,0.71179,0.68688,0.66695,0.64094,0.62674,0.62365,0.64167,0.65048,0.64344,0.60693,0.55388,0.50789,0.47376,0.45313,0.45062,0.48845,0.54218,0.48821,0.4019,0.33414,0.28561,0.25565,0.23968,0.22933,0.22143,0.21724,0.21682,0.21646,0.21487,0.22172,0.2705,0.24584,0.25798,0.30279,0.31392,0.31761,0.32333,0.35191,0.38241,0.45905,0.55338,0.59704,0.60335,0.60626,0.61941,0.60869,0.58233,0.55362,0.53722,0.53037,0.5242,0.53089,0.5421,0.5492,0.53555,0.51206,0.49027,0.4522,0.40816,0.36539,0.33758,0.30985,0.29216,0.2785,0.2712,0.25933,0.2448,0.22863,0.20943,0.19231,0.17977,0.16912,0.15875,0.15403,0.1832,0.26548,0.18921,0.16993,0.15365,0.14323,0.13625,0.13545,0.13935,0.14939,0.1622,0.17079,0.18185,0.20211,0.21573,0.21429,0.20458,0.20099,0.20083,0.20184,0.20563,0.22562,0.3279,0.30416,0.30022,0.32273,0.33892,0.35506,0.36112,0.37178,0.42046,0.46297,0.4814,0.48276,0.48896,0.49927,0.52709,0.63515,0.68374,0.73793,0.7597,0.78507,0.82512,0.85329,0.86631,0.89596,0.91796,0.91899,0.922,0.93005,0.94058,0.94063,0.93907,0.93169,0.91909,0.91864,0.92564,0.93828,0.94258,0.93523,0.92047,0.91004,0.89253,0.88509,0.86036,0.83894,0.79984,0.74359,0.68611,0.64354,0.62625,0.61576,0.58663,0.5515,0.51816,0.48928,0.4676,0.44823,0.43001,0.43136,0.45776,0.48491,0.51348,0.54627,0.59151,0.63256,0.65926,0.6887,0.72622,0.71104,0.70448,0.71752,0.74758,0.79463,0.84939,0.87138,0.88005,0.88872,0.89957,0.90063,0.89894,0.91549,0.93993,0.94613,0.92633,0.89172,0.85327,0.80956,0.77518,0.75213,0.73085,0.723,0.69668,0.62388,0.55721,0.51482,0.47925,0.47467,0.50419,0.52973,0.5183,0.51748,0.53097,0.53826,0.55005,0.59449,0.64309,0.67633,0.67158,0.65353,0.6082,0.57728,0.57998,0.60392,0.59886,0.57938,0.5608,0.5388,0.51065,0.47712,0.44945,0.42604,0.41453,0.42244,0.42373,0.43739,0.45757,0.46647,0.45581,0.44311,0.44964,0.46838,0.48552,0.4999,0.4912,0.47672,0.46473,0.45995,0.45581,0.45826,0.45559,0.4461,0.42344,0.40789,0.39839,0.38656,0.40557,0.41302,0.40897,0.44935,0.5011,0.53066,0.56379,0.67108,0.81822,0.92592,0.95738,0.99355,0.98927,1.0019,1.0212,1.0377,1.0496,1.0409,1.0392,1.0405,1.0403,1.0396,1.0389,1.0423,1.0461,1.048,1.0475,1.0531,1.0495,1.0477,1.0452,1.0502,1.0538,1.0542,1.051,1.0511,1.0518,1.0525,1.0488,1.0481,1.0459,1.0424,1.0417,1.0395,1.0362,1.0289,1.0218,1.0136,0.99453,0.97386,0.92216,0.82523,0.69966,0.60782,0.55558,0.48797,0.45632,0.46794,0.46196,0.4475,0.44757,0.45952,0.4704,0.47452,0.45795,0.4296,0.42749,0.42557,0.4222,0.40654,0.38871,0.37166,0.35389,0.34998,0.36818,0.40128,0.44001,0.51254,0.56053,0.59562,0.6507,0.72749,0.76484,0.79207,0.84794,0.8822,0.89868,0.91725,0.91265,0.87658,0.82395,0.76012,0.68326,0.62543,0.55912,0.51847,0.48343,0.40605,0.33203,0.29165,0.27134,0.38841,0.32735,0.33037,0.38262,0.41987,0.43197,0.47939,0.51625,0.53524,0.54892,0.56954,0.61043,0.65692,0.70357,0.67743,0.6329,0.61114,0.60494,0.60587,0.60891,0.62724,0.67227,0.73118,0.79307,0.84571,0.88441,0.92606,0.95796,0.97967,0.99143,0.99527,0.99521,0.98703,0.98166,0.97337,0.95741,0.94965,0.94278,0.93399,0.91722,0.90072,0.89582,0.88942,0.88239,0.86946,0.85481,0.80381,0.76677,0.71984,0.67054,0.63624,0.61332,0.59285,0.56813,0.53619,0.5097,0.48222,0.45476,0.43015,0.41149,0.39481,0.37698,0.34852,0.31462,0.29281,0.28647,0.29206,0.30122,0.29642,0.28342,0.26724,0.25333,0.24192,0.23256,0.27446,0.24843,0.24219,0.26166,0.27993,0.2903,0.29843,0.31172,0.32796,0.33775,0.34035,0.34102,0.34188,0.33614,0.3225,0.30985,0.30105,0.28542,0.26249,0.25234,0.2546,0.27121,0.28416,0.28532,0.27201,0.25074,0.22472,0.19727,0.1771,0.1676,0.16276,0.15995,0.22368,0.23716,0.24071,0.25416,0.2497,0.25191,0.28026,0.31921,0.37674,0.42854,0.49101,0.53204,0.61746,0.68576,0.69565,0.70148,0.72083,0.73368,0.73649,0.69797,0.65039,0.63601,0.64323,0.66447,0.6866,0.71898,0.7591,0.76302,0.74506,0.71611,0.69471,0.67073,0.63969,0.61325,0.58995,0.57139,0.5569,0.5466,0.53799,0.52486,0.51472,0.51004,0.51141,0.52307,0.5581,0.5792,0.58401,0.59461,0.68089,0.75742,0.7787,0.75976,0.74715,0.75194,0.76925,0.79333,0.83101,0.85769,0.84458,0.80009,0.72653,0.64093,0.5327,0.41652,0.33776,0.42119,0.3416,0.31454,0.36285,0.3876,0.37325,0.36572,0.35258,0.33413,0.29289,0.26396,0.26533,0.24874,0.28824,0.33364,0.35687,0.41475,0.46431,0.49691,0.52496,0.58108,0.61917,0.64109,0.66101,0.69292,0.71491,0.6892,0.62696,0.57161,0.53724,0.53613,0.57411,0.61813,0.61939,0.60208,0.57942,0.55831,0.54014,0.52338,0.5116,0.52201,0.56758,0.63238,0.67152,0.67254,0.65061,0.62028,0.59205,0.57242,0.56194,0.55571,0.56107,0.56158,0.56869,0.57141,0.57163,0.57146,0.56898,0.55666,0.57341,0.60672,0.63901,0.66099,0.66587,0.66502,0.66246,0.65626,0.65689,0.66797,0.67672,0.66735,0.63423,0.60026,0.60135,0.61278,0.62461,0.63429,0.63895,0.63681,0.6332,0.62814,0.62468,0.62709,0.6263,0.61664,0.5942,0.57604,0.64512,0.80428,0.82899,0.8294,0.86313,0.89353,0.93221,0.96661,0.99645,1.0029,0.99185,0.94237,0.80619,0.58623,0.41615,0.34697,0.31892,0.32195,0.37527,0.41327,0.42242,0.41838,0.42334,0.42312,0.42012,0.42147,0.43028,0.41418,0.39965,0.36929,0.33741,0.30201,0.26859,0.24862,0.2374,0.23471,0.2314,0.22437,0.22415,0.31925,0.32559,0.30941,0.32279,0.34371,0.35345,0.36473,0.37278,0.39586,0.42243,0.44087,0.45646,0.47444,0.49972,0.51075,0.51607,0.52266,0.53279,0.54955,0.56226,0.56677,0.56194,0.6746,0.79805,0.86089,0.87591,0.87487,0.88086,0.87197,0.8653,0.86317,0.84802,0.81508,0.78305,0.74028,0.68092,0.63213,0.59314,0.55177,0.52012,0.50157,0.49567,0.50377,0.52578,0.52061,0.51343,0.5173,0.52194,0.52471,0.54737,0.58238,0.58094,0.54563,0.52097,0.50226,0.48437,0.46334,0.47579,0.44959,0.42706,0.39545,0.41043,0.40222,0.36597,0.34484,0.31699,0.30379,0.30988,0.28948,0.27307,0.26835,0.26195,0.2477,0.23581,0.24239,0.26786,0.2925,0.32927,0.35268,0.39066,0.47086,0.5065,0.46171,0.42269,0.38873,0.36034,0.33931,0.32974,0.31694,0.30878,0.30115,0.32041,0.33636,0.31322,0.30591,0.3114,0.31858,0.33594,0.37995,0.39417,0.39664,0.41229,0.45449,0.4344,0.4247,0.44618,0.47344,0.59073,0.7445,0.75627,0.68196,0.59099,0.55087,0.56534,0.57609,0.56056,0.54582,0.55652,0.58378,0.61241,0.64733,0.73047,0.81329,0.81965,0.7992,0.79358,0.77581,0.73114,0.71262,0.69484,0.65059,0.58979,0.53282,0.47573,0.41472,0.35805,0.31751,0.50095,0.44818,0.52599,0.59973,0.61101,0.62335,0.6286,0.64183,0.6689,0.68483,0.65938,0.65226,0.65173,0.63346,0.59441,0.55035,0.51241,0.49593,0.507,0.48719,0.49162,0.49872,0.49368,0.48065,0.45218,0.42012,0.39686,0.3757,0.34788,0.32614,0.29813,0.26932,0.24134,0.21635,0.19454,0.17559,0.15852,0.14519,0.16568,0.22227,0.29127,0.36094,0.43418,0.51229,0.59021,0.62952,0.63018,0.60667,0.57334,0.54791,0.53763,0.52448,0.5018,0.48485,0.47078,0.45374,0.45011,0.44441,0.4431,0.43012,0.42745,0.4246,0.39766,0.36088,0.4187,0.52934,0.60674,0.55447,0.55889,0.6599,0.70811,0.77857,0.95875,0.96371,0.97976,0.94562,0.80082,0.65773,0.50823,0.33933,0.26193,0.2537,0.2368,0.23291,0.23616,0.23942,0.24635,0.25462,0.25289,0.23766,0.21362,0.19032,0.16815,0.15916,0.1621,0.16537,0.16288,0.16184,0.16345,0.16639,0.16435,0.16821,0.25869,0.25856,0.25856,0.27655,0.30894,0.32495,0.33763,0.34692,0.34689,0.34427,0.35784,0.38911,0.40673,0.40437,0.38968,0.37168,0.34253,0.32614,0.40254,0.52909,0.58421,0.58157,0.56706,0.54915,0.52692,0.4902,0.45047,0.41472,0.39317,0.3771,0.35941,0.34377,0.32506,0.29304,0.29174,0.38268,0.38777,0.39508,0.40915,0.45427,0.50001,0.52944,0.5901,0.6152,0.63957,0.6133,0.56105,0.50753,0.46364,0.44545,0.44225,0.41615,0.36827,0.33109,0.3266,0.361,0.41685,0.4329,0.42221,0.39303,0.38243,0.34491,0.31726,0.28667,0.25424,0.2652,0.26445,0.27213,0.28181,0.26832,0.32996,0.42533,0.45716,0.4883,0.54563,0.63182,0.72371,0.7827,0.79301,0.79725,0.81,0.78987,0.77621,0.78428,0.79908,0.81619,0.83703,0.85482,0.87262,0.88751,0.92086,0.97105,0.99151,1.0004,1.0067,1.008,1.0164,1.0257,1.0321,1.0346,1.0275,1.0101,1.0063,1.008,1.0085,1.0072,1.0071,1.0134,1.0119,1.0005,0.98524,0.95144,0.91264,0.87081,0.84457,0.78799,0.72467,0.69661,0.6622,0.63993,0.67689,0.72355,0.85056,0.93433,0.97725,0.9858,1.001,1.0011,1,0.99688,1.0045,1.0124,1.0113,0.97039,0.91072,0.87289,0.83315,0.79311,0.81606,0.83073,0.81703,0.76331,0.7196,0.69459,0.68095,0.68762,0.70685,0.74472,0.77033,0.74794,0.71698,0.66702,0.65055,0.65467,0.6368,0.56546,0.50508,0.44292,0.3773,0.3291,0.29742,0.2707,0.24956,0.29624,0.36453,0.36307,0.34918,0.35142,0.35223,0.34344,0.39459,0.44488,0.4846,0.49833,0.55477,0.64728,0.75438,0.81423,0.8767,0.91819,0.93185,0.89718,0.82412,0.72647,0.64229,0.58632,0.55599,0.53201,0.50895,0.46512,0.42278,0.38187,0.34131,0.29916,0.25765,0.22264,0.19635,0.17475,0.1549,0.13988,0.12673,0.11524,0.10608,0.14474,0.25459,0.21874,0.22779,0.25274,0.26051,0.25365,0.24774,0.24916,0.24937,0.26748,0.46357,0.53048,0.6076,0.71506,0.80503,0.84908,0.87983,0.88961,0.91071,0.93171,0.93609,0.93351,0.95405,0.96355,0.96851,0.95336,0.93775,0.90073,0.8696,0.88615,0.84313,0.80002,0.67722,0.62951,0.62901,0.63976,0.63786,0.62309,0.59507,0.52347,0.43661,0.37099,0.32101,0.28579,0.27579,0.33011,0.3783,0.35891,0.34869,0.36083,0.35969,0.34687,0.33293,0.30353,0.28709,0.26611,0.23523,0.21464,0.20596,0.19474,0.17795,0.15964,0.14661,0.15837,0.18652,0.23239,0.29872,0.3533,0.41913,0.4663,0.48803,0.4963,0.49119,0.46654,0.41852,0.38849,0.4079,0.49121,0.54498,0.55252,0.56941,0.61137,0.65238,0.69177,0.71929,0.7109,0.65575,0.62786,0.66524,0.68396,0.66649,0.60532,0.57653,0.61273,0.69951,0.74026,0.73837,0.71689,0.69567,0.67304,0.64143,0.60183,0.56527,0.52743,0.48471,0.46366,0.49128,0.49978,0.5185,0.5457,0.55871,0.57531,0.62559,0.70206,0.71549,0.74295,0.75708,0.7501,0.72202,0.81591,0.9052,0.91478,0.88508,0.83345,0.77566,0.72723,0.66541,0.59002,0.53857,0.50663,0.48544,0.46931,0.44215,0.40168,0.35757,0.31831,0.29591,0.29066,0.30254,0.32122,0.31978,0.32539,0.33523,0.34822,0.35497,0.34881,0.34117,0.35704,0.45793,0.56755,0.64952,0.67558,0.68971,0.73231,0.78035,0.7766,0.71196,0.66457,0.63624,0.60198,0.56747,0.54341,0.52549,0.51199,0.51761,0.55751,0.60344,0.61582,0.64652,0.70651,0.72807,0.69327,0.6485,0.67113,0.75988,0.7677,0.82845,0.92069,0.95609,0.95208,0.93968,0.86238,0.68952,0.51248,0.40089,0.41028,0.39728,0.46629,0.51308,0.53482,0.58862,0.63316,0.68048,0.79339,0.84026,0.88318,0.88012,0.90605,0.90609,0.90256,0.92331,0.93198,0.92222,0.88888,0.87138,0.85677,0.79566,0.71501,0.66049,0.64981,0.65455,0.64759,0.62499,0.60618,0.58247,0.55528,0.53416,0.52628,0.52233,0.49912,0.46665,0.43216,0.41206,0.38557,0.36091,0.33816,0.35908,0.38573,0.35826,0.33832,0.32098,0.29868,0.27811,0.29233,0.37284,0.40218,0.39728,0.40322,0.40587,0.40298,0.41782,0.46852,0.51901,0.51459,0.49025,0.47178,0.46077,0.45333,0.43086,0.4287,0.47556,0.48876,0.45612,0.42771,0.39639,0.37348,0.36413,0.36595,0.3816,0.40959,0.39923,0.362,0.32679,0.2908,0.26493,0.24224,0.22398,0.22041,0.22284,0.2823,0.25646,0.25942,0.22942,0.23227,0.25475,0.31706,0.29842,0.26598,0.26285,0.26941,0.26346,0.25616,0.24759,0.29447,0.31533,0.2742,0.26621,0.25903,0.23619,0.21621,0.24905,0.33457,0.35568,0.37685,0.3884,0.38021,0.36471,0.35414,0.34784,0.36586,0.35822,0.32243,0.30622,0.28348,0.25908,0.23648,0.21753,0.20332,0.20107,0.20521,0.22058,0.24341,0.2583,0.30505,0.39643,0.41898,0.39896,0.38185,0.36051,0.33635,0.31043,0.28622,0.27245,0.26165,0.24643,0.24162,0.22666,0.21463,0.23422,0.22566,0.19887,0.1867,0.18038,0.17742,0.1754,0.16585,0.15649,0.15109,0.30648,0.33104,0.36067,0.38956,0.39925,0.53212,0.67217,0.83797,0.90241,0.92819,0.94031,0.9482,0.93132,0.90052,0.90982,0.95961,0.92802,0.9259,0.9656,0.9992,1.0165,1.0347,1.0377,1.0464,1.0469,1.0458,1.0404,1.0293,1.0219,1.0169,1.0108,0.98799,0.95172,0.8865,0.8063,0.73051,0.6521,0.62084,0.64335,0.64435,0.61473,0.59182,0.58274,0.5816,0.60881,0.64425,0.68179,0.68727,0.68831,0.66883,0.6581,0.69031,0.71318,0.70412,0.66784,0.59363,0.52228,0.45844,0.40114,0.35447,0.32146,0.28802,0.31736,0.26699,0.25061,0.24025,0.22435,0.22211,0.33736,0.45426,0.50626,0.46253,0.44137,0.43326,0.43749,0.42287,0.41763,0.4617,0.47389,0.43171,0.35477,0.28102,0.21708,0.20808,0.35431,0.42357,0.52519,0.54797,0.55581,0.57708,0.60697,0.6524,0.7165,0.82484,0.90118,0.91035,0.87368,0.80295,0.72173,0.68441,0.71788,0.75216,0.74155,0.72399,0.67009,0.56934,0.48021,0.4193,0.38093,0.41237,0.36431,0.37665,0.41598,0.45792,0.45315,0.4201,0.39378,0.3628,0.38598,0.39451,0.46685,0.53661,0.66435,0.74759,0.77522,0.76661,0.81116,0.831,0.8202,0.77628,0.7069,0.67277,0.67811,0.67448,0.64994,0.61288,0.57661,0.54517,0.51993,0.49073,0.45264,0.42867,0.40368,0.38476,0.36765,0.35613,0.37474,0.383,0.38153,0.38912,0.37932,0.38566,0.3868,0.41723,0.49214,0.53949,0.52458,0.49004,0.45775,0.42624,0.40389,0.39639,0.41198,0.40563,0.39481,0.38332,0.35936,0.32226,0.2822,0.25324,0.23518,0.22699,0.2157,0.20513,0.19289,0.18163,0.17381,0.17531,0.18775,0.20037,0.21006,0.23222,0.25754,0.24978,0.24048,0.26584,0.30497,0.29068,0.28854,0.29167,0.28855,0.32995,0.41551,0.43658,0.45568,0.45051,0.41585,0.37764,0.34602,0.33945,0.37325,0.34838,0.32205,0.30222,0.276,0.24886,0.23459,0.37074,0.4497,0.51321,0.48775,0.48348,0.5009,0.53203,0.55512,0.6012,0.64381,0.69831,0.76334,0.81087,0.85954,0.9299,0.98273,1.0043,1.0055,0.99286,0.98036,0.96654,0.95421,0.93836,0.94244,0.92575,0.87262,0.83083,0.83402,0.7531,0.67911,0.6418,0.6218,0.58709,0.53497,0.47032,0.39075,0.34088,0.27619,0.20575,0.16081,0.13787,0.12355,0.11132,0.10497,0.10689,0.10819,0.10366,0.16048,0.23441,0.20106,0.17977,0.19496,0.20039,0.20577,0.20615,0.22704,0.3211,0.42974,0.48896,0.51485,0.52816,0.54992,0.60478,0.70673,0.78952,0.85091,0.87664,0.89185,0.90172,0.91876,0.92512,0.94596,0.96719,0.98423,0.98399,0.97677,0.94022,0.89722,0.84954,0.79596,0.75286,0.72667,0.69073,0.65667,0.63657,0.64052,0.63556,0.63596,0.64775,0.67898,0.72833,0.71145,0.6739,0.66415,0.66711,0.70242,0.75957,0.79513,0.79001,0.79066,0.77742,0.76168,0.75191,0.77834,0.83622,0.894,0.87759,0.8461,0.80717,0.79438,0.79082,0.79798,0.79385,0.78423,0.71369,0.65336,0.60033,0.55303,0.51157,0.47965,0.46439,0.45961,0.45314,0.44184,0.42616,0.4158,0.41435,0.40754,0.40515,0.39049,0.37127,0.35172,0.34357,0.32686,0.2973,0.27136,0.25142,0.37675,0.44314,0.45766,0.51358,0.50519,0.52285,0.58909,0.66777,0.71293,0.71086,0.69963,0.6963,0.6942,0.69681,0.7368,0.7516,0.74283,0.69837,0.68887,0.70014,0.68489,0.66161,0.68243,0.71454,0.75084,0.75566,0.74588,0.72065,0.68952,0.68074,0.70671,0.73774,0.76781,0.76933,0.75123,0.72764,0.69088,0.69092,0.74893,0.79298,0.79557,0.77721,0.76639,0.75995,0.74303,0.73642,0.73273,0.74842,0.76316,0.73622,0.70685,0.66461,0.6247,0.59787,0.63311,0.71533,0.75187,0.71337,0.65223,0.62822,0.61823,0.59032,0.57598,0.59898,0.62309,0.63273,0.62292,0.60757,0.58709,0.59062,0.62326,0.68051,0.68906,0.64849,0.62396,0.61962,0.61961,0.614,0.60299,0.59652,0.58235,0.54307,0.50864,0.48602,0.47118,0.46125,0.45478,0.45508,0.45887,0.44026,0.4181,0.40281,0.39018,0.37834,0.36359,0.37488,0.40657,0.4096,0.43024,0.44201,0.44992,0.46806,0.50916,0.51967,0.53498,0.53698,0.52734,0.52124,0.51309,0.55801,0.55297,0.56055,0.57382,0.56567,0.54164,0.51864,0.49722,0.48439,0.51224,0.56773,0.53953,0.45674,0.41626,0.40899,0.38853,0.34743,0.28865,0.32272,0.32959,0.30869,0.355,0.38016,0.37888,0.3875,0.40749,0.43043,0.45047,0.42503,0.4271,0.41031,0.39231,0.39044,0.40104,0.4001,0.39353,0.37459,0.37339,0.3959,0.38477,0.38484,0.40202,0.38554,0.3831,0.38089,0.36205,0.33506,0.30852,0.29017,0.29876,0.30063,0.27794,0.27831,0.27476,0.28465,0.30656,0.35477,0.35142,0.34728,0.35851,0.37359,0.3644,0.36268,0.34708,0.33615,0.3445,0.36789,0.37262,0.33193,0.32486,0.3394,0.3495,0.35293,0.35357,0.40401,0.44933,0.44214,0.46569,0.50339,0.54033,0.552,0.52809,0.58037,0.67712,0.70495,0.75157,0.7579,0.74095,0.66776,0.58759,0.53535,0.49959,0.4257,0.39354,0.44106,0.42185,0.39495,0.40085,0.4024,0.38453,0.35978,0.33513,0.31706,0.27357,0.24487,0.24903,0.23349,0.20667,0.18986,0.18033,0.17729,0.17745,0.16797,0.1502,0.1211,0.10389,0.09095,0.07937,0.07357,0.07679,0.0772,0.08233,0.19634,0.28258,0.31352,0.29294,0.27548,0.26128,0.25879,0.26443,0.29206,0.32531,0.34808,0.34137,0.31869,0.30873,0.31426,0.32286,0.33501,0.37099,0.36768,0.33717,0.31883,0.30651,0.28287,0.2535,0.22726,0.20952,0.2094,0.22241,0.22607,0.23505,0.24671,0.25267,0.25496,0.26416,0.26672,0.2746,0.2743,0.27955,0.28297,0.29046,0.30365,0.33903,0.35061,0.35625,0.36835,0.37629,0.37599,0.3702,0.36775,0.37584,0.40234,0.44384,0.47742,0.49718,0.49543,0.50777,0.50674,0.51042,0.54305,0.57146,0.58786,0.61083,0.63393,0.64638,0.66999,0.67707,0.65755,0.64977,0.64852,0.70255,0.77778,0.84454,0.92807,0.93229,0.95117,1.0021,1.0002,1.0052,1.0162,1.0275,1.0257,1.0226,1.0253,1.0258,1.0248,1.0142,0.9906,0.95713,0.92545,0.90843,0.87603,0.80309,0.60146,0.44419,0.33632,0.25536,0.20142,0.16771,0.14727,0.14234,0.14416,0.16356,0.17659,0.19807,0.25948,0.30296,0.28939,0.30926,0.30907,0.29614,0.30795,0.3636,0.40136,0.39879,0.37415,0.37173,0.39625,0.43527,0.41145,0.36963,0.29694,0.25305,0.23599,0.22248,0.21836,0.20862,0.18727,0.16087,0.13957,0.1232,0.11853,0.11802,0.11665,0.11559,0.10473,0.08947,0.10333,0.14348,0.13978,0.13033,0.12845,0.14976,0.21902,0.2186,0.19412,0.19114,0.1936,0.20505,0.22603,0.25535,0.28847,0.25066,0.24217,0.25137,0.2644,0.27315,0.28004,0.29359,0.29265,0.28222,0.28175,0.27768,0.26559,0.25035,0.23239,0.22167,0.22125,0.22008,0.21315,0.20415,0.2108,0.20501,0.19548,0.18027,0.18948,0.24248,0.2157,0.18354,0.17474,0.16333,0.14735,0.12944,0.11265,0.11165,0.15141,0.16569,0.16254,0.15031,0.1237,0.11974,0.13511,0.11724,0.11939,0.10162,0.08997,0.07992,0.0751,0.09096,0.09912,0.11131,0.12392,0.12243,0.12246,0.12516,0.12749,0.13082,0.13881,0.1347,0.1212,0.11678,0.11372,0.10551,0.10861,0.11536,0.13061,0.14443,0.15936,0.16962,0.163,0.1587,0.16238,0.15514,0.14941,0.29507,0.28293,0.30742,0.32313,0.35069,0.38492,0.41528,0.44943,0.44988,0.43455,0.42351,0.41839,0.44417,0.4481,0.42757,0.42074,0.3951,0.4035,0.4266,0.4474,0.43971,0.43509,0.44955,0.46868,0.47513,0.47848,0.48439,0.47536,0.46512,0.45715,0.44385,0.41972,0.39864,0.39579,0.42139,0.43409,0.41646,0.40336,0.39661,0.39121,0.38541,0.37648,0.37877,0.38603,0.37912,0.36817,0.36093,0.36345,0.35914,0.35389,0.37951,0.38819,0.36938,0.36546,0.36083,0.35152,0.33748,0.33817,0.37477,0.41458,0.40787,0.4078,0.41413,0.41525,0.41721,0.4116,0.3902,0.3788,0.36906,0.35509,0.33609,0.31632,0.29195,0.26791,0.25112,0.23788,0.22636,0.21698,0.2081,0.19711,0.18577,0.18004,0.1874,0.23232,0.29567,0.24105,0.24117,0.24722,0.26465,0.30025,0.34327,0.37413,0.36882,0.3829,0.38328,0.37232,0.36021,0.37562,0.39087,0.37028,0.35929,0.35703,0.35454,0.34721,0.3422,0.339,0.33588,0.32634,0.30644,0.28359,0.27153,0.26735,0.26553,0.2776,0.29134,0.28817,0.28463,0.27947,0.26954,0.25619,0.24132,0.23749,0.29576,0.29289,0.28257,0.28921,0.30007,0.30529,0.31395,0.34468,0.39947,0.45093,0.43943,0.42717,0.41615,0.4102,0.40074,0.38393,0.35994,0.33385,0.31569,0.30101,0.28243,0.26048,0.23726,0.21701,0.20571,0.189,0.1927,0.21483,0.22647,0.2344,0.2445,0.25567,0.27008,0.2868,0.28348,0.27018,0.25784,0.2483,0.23931,0.22619,0.23197,0.29644,0.28162,0.29264,0.32615,0.32178,0.31881,0.324,0.33228,0.33064,0.30587,0.29082,0.2757,0.27148,0.27563,0.28064,0.31734,0.31349,0.31378,0.31249,0.30558,0.31267,0.34294,0.41295,0.50625,0.56339,0.53985,0.54099,0.53484,0.52873,0.54423,0.59287,0.62594,0.62329,0.58601,0.55769,0.53633,0.4942,0.40513,0.34528,0.31178,0.28654,0.25948,0.23134,0.20933,0.19426,0.18264,0.17511,0.17022,0.16142,0.15297,0.15584,0.17297,0.16779,0.15801,0.14295,0.11344,0.09786,0.09202,0.09091,0.09025,0.08601,0.07934,0.07497,0.09914,0.1729,0.20473,0.24397,0.24519,0.25772,0.25958,0.2645,0.26114,0.26228,0.26681,0.29877,0.29623,0.30161,0.31298,0.35028,0.38402,0.41021,0.42934,0.43479,0.43918,0.46195,0.49258,0.52026,0.55099,0.58518,0.57624,0.55334,0.54348,0.54719,0.57705,0.61336,0.6529,0.71343,0.70864,0.67867,0.64352,0.61645,0.59123,0.57543,0.56253,0.5345,0.51012,0.48943,0.47372,0.46634,0.46697,0.46504,0.46308,0.46365,0.47063,0.46394,0.44916,0.43419,0.413,0.39138,0.3707,0.35477,0.33205,0.31756,0.30608,0.291,0.27669,0.2628,0.25174,0.24285,0.23444,0.22699,0.21292,0.19365,0.19137,0.19581,0.21512,0.22092,0.21903,0.21714,0.20778,0.19925,0.20258,0.20857,0.20596,0.2099,0.21303,0.21219,0.20767,0.20567,0.21628,0.22684,0.21962,0.19398,0.16242,0.13518,0.11617,0.10524,0.10199,0.10306,0.10286,0.09794,0.08856,0.1079,0.13955,0.15378,0.1776,0.21165,0.24519,0.23519,0.24623,0.27452,0.32608,0.37555,0.41674,0.46231,0.4734,0.459,0.44643,0.43541,0.41635,0.40022,0.38017,0.35514,0.346,0.35964,0.34755,0.3587,0.3785,0.37794,0.38089,0.41068,0.4345,0.44921,0.46686,0.46616,0.44271,0.41934,0.38492,0.34721,0.31191,0.28573,0.26279,0.2474,0.2427,0.23622,0.2314,0.22834,0.21753,0.19612,0.2035,0.21671,0.19839,0.1845,0.17408,0.16119,0.1803,0.27998,0.24826,0.22795,0.22742,0.23003,0.23069,0.22753,0.23792,0.32794,0.30577,0.26876,0.28108,0.28648,0.27577,0.26996,0.25903,0.26574,0.26387,0.268,0.26174,0.24844,0.23538,0.22448,0.23257,0.26077,0.24442,0.23497,0.23634,0.23158,0.22034,0.19667,0.18321,0.2598,0.26894,0.22648,0.22387,0.21724,0.2087,0.19748,0.19868,0.22189,0.24539,0.24434,0.24083,0.24345,0.25074,0.26201,0.28099,0.2838,0.27283,0.28274,0.29792,0.31227,0.32963,0.35196,0.40248,0.43783,0.46837,0.50464,0.47417,0.47475,0.50825,0.53009,0.59442,0.66529,0.6623,0.64155,0.64305,0.67323,0.72525,0.77241,0.8024,0.80902,0.79249,0.76472,0.71982,0.65814,0.60757,0.57353,0.54019,0.49689,0.44569,0.40247,0.3683,0.3463,0.33619,0.33297,0.33022,0.32063,0.31126,0.30029,0.2847,0.27037,0.25805,0.24784,0.2389,0.23517,0.22594,0.21696,0.20865,0.20154,0.20148,0.20722,0.21103,0.21076,0.20822,0.21798,0.23172,0.24351,0.25419,0.27964,0.31915,0.34795,0.34411,0.34484,0.35211,0.36192,0.36403,0.36154,0.38651,0.42381,0.40625,0.38969,0.37475,0.36834,0.37356,0.38469,0.40042,0.39252,0.38466,0.39253,0.41842,0.45719,0.50423,0.54742,0.5721,0.568,0.55159,0.53113,0.501,0.4653,0.43765,0.42693,0.41706,0.40279,0.38064,0.3627,0.34332,0.32149,0.30058,0.29122,0.3062,0.30811,0.30636,0.31973,0.33222,0.35057,0.37456,0.3908,0.4016,0.43639,0.46096,0.47148,0.45856,0.43023,0.4053,0.3972,0.39166,0.38314,0.38762,0.38378,0.37632,0.36776,0.3687,0.38013,0.4106,0.43504,0.41422,0.39319,0.38989,0.40701,0.42444,0.44385,0.49023,0.56496,0.58912,0.58851,0.57121,0.55734,0.54581,0.5401,0.53835,0.5394,0.52251,0.50276,0.48529,0.46643,0.43473,0.40801,0.37551,0.37115,0.35191,0.33189,0.31787,0.31002,0.30093,0.28885,0.27773,0.29176,0.31682,0.3031,0.31547,0.31197,0.29654,0.2727,0.24916,0.24673,0.24412,0.25388,0.26359,0.25503,0.22654,0.20543,0.39857,0.27076,0.23313,0.23982,0.2468,0.26411,0.27414,0.27249,0.27356,0.27122,0.26242,0.24829,0.23419,0.22448,0.21955,0.24085,0.26228,0.26656,0.26337,0.26261,0.25825,0.24624,0.23125,0.22288,0.23007,0.231,0.21055,0.18304,0.17357,0.17525,0.17338,0.16271,0.15961,0.15982,0.20572,0.2007,0.21454,0.2044,0.18826,0.17534,0.17155,0.15076,0.13209,0.11788,0.22849,0.39135,0.49284,0.57053,0.58017,0.58627,0.56251,0.49609,0.39469,0.32091,0.27938,0.25601,0.24105,0.22811,0.21794,0.21113,0.20124,0.1909,0.18786,0.18984,0.191,0.18892,0.18442,0.18535,0.18932,0.20507,0.21291,0.23211,0.29066,0.29536,0.29303,0.30721,0.31549,0.34756,0.3761,0.43832,0.51616,0.57991,0.59225,0.61969,0.64567,0.67319,0.69996,0.6948,0.62816,0.5504,0.48555,0.44443,0.41543,0.39826,0.38558,0.37804,0.37222,0.3621,0.34437,0.3227,0.30176,0.28634,0.2751,0.27316,0.29324,0.32634,0.28651,0.33626,0.33508,0.34132,0.36744,0.38998,0.40335,0.39543,0.37259,0.32548,0.30683,0.27211,0.26323,0.2619,0.26241,0.26453,0.26606,0.26517,0.26605,0.2693,0.27269,0.27598,0.27865,0.28355,0.29179,0.29759,0.31638,0.3365,0.35813,0.39016,0.40397,0.42256,0.42636,0.42376,0.43726,0.47321,0.50487,0.5342,0.53473,0.5336,0.5285,0.51423,0.48381,0.44831,0.41866,0.3911,0.36301,0.33658,0.31499,0.29628,0.28142,0.27387,0.26471,0.25693,0.24627,0.23228,0.21934,0.20892,0.20192,0.21903,0.31917,0.33819,0.37824,0.45978,0.52418,0.55951,0.5709,0.59045,0.63716,0.70081,0.73337,0.74964,0.74756,0.74653,0.74883,0.77969,0.85589,0.87234,0.85632,0.83889,0.82093,0.80393,0.78819,0.7747,0.77423,0.77832,0.78213,0.7817,0.77352,0.76368,0.75244,0.73554,0.70042,0.66612,0.6334,0.60352,0.56756,0.5403,0.5036,0.47169,0.44307,0.42474,0.42239,0.42895,0.43285,0.44008,0.44795,0.44989,0.4514,0.448,0.43787,0.43736,0.47292,0.551,0.6578,0.78197,0.88048,0.93574,0.96176,0.96529,0.96642,0.96571,0.96948,0.97994,0.99057,0.99133,0.9811,0.9687,0.93724,0.89425,0.87109,0.86382,0.85487,0.82559,0.75922,0.71063,0.68232,0.65693,0.63924,0.64601,0.67861,0.68165,0.63737,0.59702,0.57383,0.56687,0.56236,0.5627,0.57046,0.5601,0.53689,0.52018,0.50533,0.49426,0.50088,0.5191,0.53339,0.51701,0.46329,0.42449,0.3835,0.33608,0.30696,0.34249,0.36944,0.42823,0.46151,0.47765,0.52895,0.58733,0.61166,0.63475,0.63099,0.67007,0.7258,0.79756,0.88786,0.93196,0.97802,0.99825,1.0214,1.0271,1.0324,1.0334,1.0338,1.0311,1.0243,1.0166,1.0094,1.005,0.9972,0.99087,0.97911,0.95926,0.92697,0.91211,0.90651,0.90005,0.89619,0.89266,0.88009,0.86876,0.85101,0.84303,0.84401,0.86393,0.88062,0.89024,0.88291,0.8688,0.86606,0.89499,0.90696,0.88843,0.87154,0.8686,0.86378,0.86742,0.87353,0.88665,0.89984,0.89624,0.86703,0.80318,0.74785,0.70734,0.6759,0.63792,0.60394,0.58471,0.56957,0.5476,0.50639,0.45804,0.44045,0.43826,0.44447,0.45253,0.45139,0.44929,0.44093,0.43552,0.43324,0.47393,0.4825,0.47571,0.4826,0.48106,0.48598,0.49069,0.50027,0.53038,0.52037,0.51352,0.51141,0.50569,0.47154,0.43329,0.40719,0.38058,0.52433,0.4692,0.49948,0.52906,0.57832,0.63392,0.69957,0.76284,0.83598,0.8618,0.86996,0.85447,0.83549,0.8159,0.8041,0.80979,0.79487,0.75584,0.71317,0.70809,0.69366,0.68966,0.68059,0.70052,0.73338,0.76688,0.77373,0.77276,0.78784,0.81865,0.83574,0.83289,0.87178,0.90649,0.91403,0.91694,0.92846,0.93741,0.93506,0.94699,0.96365,0.97099,0.97201,0.97219,0.97276,0.97418,0.97384,0.97946,0.98644,0.98296,0.98346,0.98274,0.97714,0.97485,0.98623,1.0086,0.99565,0.96461,0.94385,0.90488,0.82193,0.72893,0.67177,0.61529,0.5689,0.50975,0.47083,0.48278,0.50404,0.51393,0.51667,0.54251,0.58064,0.6,0.58826,0.59845,0.61671,0.59993,0.55743,0.48848,0.49707,0.47658,0.43838,0.4123,0.3906,0.38433,0.38651,0.4303,0.48024,0.52447,0.57242,0.62575,0.65342,0.66399,0.66753,0.68925,0.707,0.71003,0.69831,0.66879,0.63699,0.61717,0.60763,0.615,0.64278,0.64835,0.63129,0.60085,0.56819,0.53355,0.50861,0.48793,0.47406,0.46993,0.46449,0.45708,0.44777,0.43195,0.41554,0.42077,0.43411,0.44974,0.48301,0.54154,0.59396,0.62691,0.64059,0.708,0.76482,0.77965,0.77657,0.77395,0.76408,0.74339,0.71207,0.69089,0.6821,0.66382,0.62995,0.6112,0.60841,0.60913,0.60588,0.59662,0.57812,0.56863,0.56143,0.55174,0.53428,0.50803,0.49664,0.49545,0.50228,0.51081,0.527,0.54496,0.56462,0.58301,0.6019,0.64844,0.7209,0.77571,0.79991,0.81676,0.82886,0.83062,0.83235,0.88603,0.9273,0.93552,0.92879,0.92536,0.91399,0.89883,0.89778,0.90482,0.88428,0.85129,0.83781,0.85298,0.86688,0.86712,0.86689,0.88959,0.90438,0.90549,0.87504,0.82816,0.75428,0.686,0.6273,0.57747,0.53835,0.49411,0.44562,0.40797,0.385,0.37376,0.3738,0.39928,0.45502,0.5024,0.52826,0.56191,0.60495,0.65705,0.71564,0.82152,0.88894,0.90902,0.90144,0.89577,0.90364,0.91676,0.92894,0.96288,0.98563,0.9949,1.0014,1.0029,1.0015,0.99848,0.99884,1.0044,1.0134,1.0121,1.0027,0.99186,0.98593,0.98032,0.9713,0.97003,0.97296,0.9702,0.9639,0.94964,0.93268,0.91289,0.88769,0.89072,0.89814,0.86182,0.77128,0.72659,0.71051,0.70769,0.72347,0.7624,0.78102,0.78403,0.7508,0.70206,0.64854,0.58253,0.53339,0.5209,0.57257,0.60884,0.61922,0.62046,0.61024,0.60987,0.62144,0.67883,0.74863,0.78571,0.80096,0.81738,0.81777,0.78351,0.72503,0.67323,0.62891,0.57753,0.5159,0.47939,0.48302,0.49412,0.48803,0.53681,0.59577,0.62123,0.66889,0.72019,0.72824,0.73324,0.75807,0.80583,0.83581,0.82306,0.80009,0.75495,0.68441,0.60776,0.54946,0.54725,0.58925,0.62344,0.63625,0.62017,0.58008,0.54207,0.51668,0.5372,0.66054,0.75616,0.79565,0.86524,0.92497,0.95264,0.95945,0.96736,0.98628,1.0044,1.0132,1.0303,1.0299,1.0305,1.0318,1.0349,1.0396,1.0407,1.0415,1.0434,1.0411,1.0401,1.0346,1.0273,1.0178,1.0023,0.96932,0.90863,0.82448,0.74934,0.6882,0.62841,0.58369,0.52304,0.47385,0.45172,0.4581,0.46988,0.48157,0.4965,0.51536,0.52878,0.53682,0.54666,0.55774,0.57055,0.57988,0.57813,0.57161,0.57373,0.58201,0.58296,0.5762,0.56221,0.54173,0.52227,0.52756,0.56452,0.60355,0.62559,0.63363,0.62889,0.61617,0.60083,0.58262,0.56157,0.53518,0.50775,0.4873,0.47356,0.45989,0.45495,0.4557,0.468,0.48229,0.51508,0.58115,0.69407,0.80667,0.90862,0.95215,0.96885,0.9688,0.97954,0.99007,0.99728,1.0014,1.0153,1.017,1.017,1.0175,1.0192,1.0203,1.0221,1.0185,1.0219,1.0296,1.0297,1.0243,1.0217,1.0207,1.0136,1.0161,1.0255,1.0274,1.0202,0.99954,0.98441,0.95311,0.9478,0.97339,1.0032,1.0203,1.013,1.0072,1.0112,1.016,1.0135,0.99171,0.971,0.93566,0.87941,0.8002,0.76025,0.73152,0.71812,0.70183,0.68787,0.67369,0.61888,0.53829,0.47381,0.44382,0.42806,0.4359,0.46601,0.49663,0.49044,0.47147,0.4484,0.43064,0.43041,0.41398,0.40493,0.41721,0.42651
diff --git a/mhkit/loads/extreme.py b/mhkit/loads/extreme.py
index b282c0826..6dc69f63a 100644
--- a/mhkit/loads/extreme.py
+++ b/mhkit/loads/extreme.py
@@ -1,9 +1,41 @@
 import numpy as np
 import pandas as pd
-from scipy import stats
-from scipy import optimize
+from scipy import stats, optimize, signal
 from mhkit.wave.resource import frequency_moment
 
+def _peaks_over_threshold(peaks, threshold, sampling_rate):
+    threshold_unit = np.percentile(peaks, 100*threshold, method='hazen')
+    idx_peaks = np.arange(len(peaks))
+    idx_storm_peaks, storm_peaks = global_peaks(
+        idx_peaks, peaks-threshold_unit)
+    idx_storm_peaks = idx_storm_peaks.astype(int)
+
+    # Two storms that are close enough (within specified window) are
+    # considered the same storm, to ensure independence.
+    independent_storm_peaks = [storm_peaks[0],]
+    idx_independent_storm_peaks = [idx_storm_peaks[0],]
+    # check first 14 days to determine window size
+    nlags = int(14 * 24 / sampling_rate)
+    x = peaks - np.mean(peaks)
+    acf = signal.correlate(x, x, mode="full")
+    lag = signal.correlation_lags(len(x), len(x), mode="full")
+    idx_zero = np.argmax(lag==0)
+    positive_lag = lag[(idx_zero):(idx_zero+nlags+1)]
+    acf_positive = acf[(idx_zero):(idx_zero+nlags+1)] / acf[idx_zero]
+
+    window_size = sampling_rate * positive_lag[acf_positive<0.5][0]
+    # window size in "observations" instead of "hours" between peaks.
+    window = window_size / sampling_rate
+    # keep only independent storm peaks
+    for idx in idx_storm_peaks[1:]:
+        if (idx - idx_independent_storm_peaks[-1]) > window:
+            idx_independent_storm_peaks.append(idx)
+            independent_storm_peaks.append(peaks[idx]-threshold_unit)
+        elif peaks[idx] > independent_storm_peaks[-1]:
+            idx_independent_storm_peaks[-1] = idx
+            independent_storm_peaks[-1] = peaks[idx]-threshold_unit
+
+    return independent_storm_peaks
 
 def global_peaks(t, data):
     """
@@ -157,6 +189,100 @@ def peaks_distribution_weibull_tail_fit(x):
     return peaks
 
 
+def automatic_hs_threshold(
+    peaks,
+    sampling_rate,
+    initial_threshold_range = (0.990, 0.995, 0.001),
+    max_refinement=5
+):
+    """
+    Find the best significant wave height threshold for the
+    peaks-over-threshold method.
+
+    This method was developed by:
+
+    > Neary, V. S., S. Ahn, B. E. Seng, M. N. Allahdadi, T. Wang, Z. Yang and R. He (2020).
+    > "Characterization of Extreme Wave Conditions for Wave Energy Converter Design and Project Risk Assessment.”
+    > J. Mar. Sci. Eng. 2020, 8(4), 289; https://doi.org/10.3390/jmse8040289.
+
+    please cite this paper if using this method.
+
+    After all thresholds in the initial range are evaluated, the search
+    range is refined around the optimal point until either (i) there
+    is minimal change from the previous refinement results, (ii) the
+    number of data points become smaller than about 1 per year, or (iii)
+    the maximum number of iterations is reached.
+
+    Parameters
+    ----------
+    peaks: np.array
+        Peak values of the response time-series
+    sampling_rate: float
+        Sampling rate in hours.
+    initial_threshold_range: tuple
+        Initial range of thresholds to search. Described as
+        (min, max, step).
+    max_refinement: int
+        Maximum number of times to refine the search range.
+
+    Returns
+    -------
+    best_threshold: float
+        Threshold that results in the best correlation.
+    """
+    if not isinstance(sampling_rate, (float, int)):
+        raise TypeError('sampling_rate must be of type float or int')
+    
+    if not isinstance(peaks, np.ndarray):
+        raise TypeError('peaks must be of type np.ndarray')
+    
+    if not len(initial_threshold_range) == 3:
+        raise ValueError('initial_threshold_range must be length 3')
+    
+    if not isinstance(max_refinement, int):
+        raise TypeError('max_refinement must be of type int')
+
+    range_min, range_max, range_step = initial_threshold_range
+    best_threshold = -1
+    years = len(peaks)/(365.25*24/sampling_rate)
+
+    for i in range(max_refinement):
+        thresholds = np.arange(range_min, range_max, range_step)
+        correlations = []
+
+        for threshold in thresholds:
+            distribution = stats.genpareto
+            over_threshold = _peaks_over_threshold(
+                peaks, threshold, sampling_rate)
+            rate_per_year = len(over_threshold) / years
+            if rate_per_year < 2:
+                break
+            distributions_parameters = distribution.fit(
+                over_threshold, floc=0.)
+            _, (_, _, correlation) = stats.probplot(
+                peaks, distributions_parameters, distribution, fit=True)
+            correlations.append(correlation)
+
+        max_i = np.argmax(correlations)
+        minimal_change = np.abs(best_threshold - thresholds[max_i]) < 0.0005
+        best_threshold = thresholds[max_i]
+        if minimal_change and i<max_refinement-1:
+            break
+        range_step /= 10
+        if max_i == len(thresholds)-1:
+            range_min = thresholds[max_i - 1]
+            range_max = thresholds[max_i] + 5*range_step
+        elif max_i == 0:
+            range_min = thresholds[max_i] - 9*range_step
+            range_max = thresholds[max_i + 1]
+        else:
+            range_min = thresholds[max_i-1]
+            range_max = thresholds[max_i+1]
+
+    best_threshold_unit = np.percentile(peaks, 100*best_threshold, method='hazen')
+    return best_threshold, best_threshold_unit
+
+
 def peaks_distribution_peaks_over_threshold(x, threshold=None):
     """
     Estimate the peaks distribution using the peaks over threshold


Test patch:
diff --git a/mhkit/tests/loads/test_loads.py b/mhkit/tests/loads/test_loads.py
index f17e89cc4..5befa99d9 100644
--- a/mhkit/tests/loads/test_loads.py
+++ b/mhkit/tests/loads/test_loads.py
@@ -218,6 +218,13 @@ def test_shortterm_extreme(self):
             ste = loads.extreme.ste(t, data, t_st, method)
             assert_allclose(ste.cdf(x), cdf_1)
 
+    def test_automatic_threshold(self):
+        filename = "data_loads_hs.csv"
+        data = np.loadtxt(os.path.join(datadir, filename), delimiter=",")
+        years = 2.97
+        pct, threshold = loads.extreme.automatic_hs_threshold(data, years)
+        assert np.isclose(pct, 0.9913)
+        assert np.isclose(threshold, 1.032092)
 
 if __name__ == '__main__':
     unittest.main()