[0.23495692,0.29974353,0.42876884,0.5592396,0.64046115,0.6574084,0.63482004,0.60542476,0.5908411,0.5871026,0.58010936,0.55444676,0.50794876,0.4528915,0.41138127,0.39784274,0.405315,0.4097543,0.38997653,0.3446714,0.2901167,0.24594189,0.22326572,0.22452272,0.24936925,0.29753223,0.36541378,0.4409361,0.5062663,0.5452826,0.5511536,0.52553767,0.47867563,0.4282929,0.39651218,0.39523616,0.41533172,0.43029106,0.41828695,0.378486,0.32972845,0.2911571,0.26890302,0.25671092,0.24998046,0.2524565,0.26948115,0.2980459,0.327526,0.35436246,0.38574183,0.43124,0.48666584,0.5356977,0.5605402,0.55406946,0.5204527,0.4711596,0.4182806,0.3696648,0.3267876,0.28841868,0.25596312,0.23531197,0.23402967,0.2571071,0.30503133,0.37231615,0.44792616,0.5181331,0.5717303,0.6032765,0.61122674,0.59555167,0.55804855,0.5066609,0.45547757,0.41830957,0.39826345,0.38499117,0.3628439,0.32446274,0.27739394,0.2373765,0.21729048,0.21989292,0.2428906,0.2835007,0.34001985,0.40610197,0.4698557,0.5181759,0.54248554,0.54148203,0.51928586,0.48459074,0.4470042,0.41312376,0.38237634,0.3493947,0.31264114,0.28236842,0.2815096,0.33037475,0.43091616,0.5549851,0.65875906,0.7029038,0.6775522,0.60589224,0.53170305,0.49177197,0.49326682,0.5151553,0.5274513,0.5153983,0.48278713,0.44281054,0.40395465,0.36656865,0.32729116,0.28617367,0.25004682,0.2267782,0.21949832,0.22438729,0.24013706,0.27128926,0.32326773,0.38831082,0.4455293,0.47389328,0.4689772,0.44442737,0.42047915,0.4097958,0.41157305,0.4154663,0.41022077,0.39008936,0.3552889,0.30944118,0.258544,0.21177001,0.18041295,0.17313163,0.19277017,0.23555727,0.29518256,0.36272916,0.42839992,0.480938,0.51193434,0.51794297,0.5021218,0.47372636,0.44426203,0.42221466,0.40702292,0.39079484,0.36463258,0.3276308,0.29035708,0.27409306,0.3008696,0.3782642,0.48703876,0.5848442,0.6330593,0.61959034,0.5694125,0.5180794,0.49052823,0.4838448,0.48337582,0.47539982,0.4576765,0.4338343,0.40869787,0.38589296,0.36741617,0.3531005,0.33977833,0.32447013,0.30622688,0.28826284,0.27385533,0.2670724,0.27093288,0.29030916,0.32628334,0.37480995,0.42418608,0.46307763,0.48323417,0.48445633,0.46957317,0.44560876,0.4182957,0.3937963,0.37412405,0.35925153,0.34654367,0.33422175,0.32248035,0.31116152,0.2986205,0.281307,0.26124313,0.24719948,0.25067344,0.27518618,0.31191266,0.34649482,0.36737117,0.37354693,0.36890125,0.360185,0.34969822,0.3399687,0.33160827,0.3266915,0.32472074,0.32633373,0.33585778,0.364839,0.42403868,0.51211196,0.6072034,0.6774103,0.69891095,0.67193776,0.61606693,0.55548865,0.5026658,0.45905152,0.41996834,0.38590148,0.35768935,0.33805844,0.32420138,0.31536946,0.30956352,0.30689836,0.30458674,0.29994142,0.29156604,0.28058526,0.26973414,0.26169753,0.26164898,0.27575865,0.30792254,0.35270944,0.3954326,0.4182681,0.40999436,0.3717767,0.31719336,0.265991,0.23525105,0.23118262,0.24810654,0.27305576,0.29677606,0.3199366,0.35594857,0.41785368,0.50672954,0.6006396,0.6679451,0.68519896,0.65475243,0.5991097,0.5440374,0.5023757,0.472339,0.44659498,0.42105618,0.39736965,0.3783891,0.36568442,0.35632208,0.3479484,0.3377072,0.32836947,0.3230742,0.3261617,0.33476433,0.3425752,0.3435954,0.34189948,0.34819064,0.3716452,0.40938553,0.44922736,0.47709826,0.4863336,0.47808126,0.45878193,0.4346677,0.410668,0.38880923,0.37068173,0.35482204,0.33992302,0.32312188,0.30532888,0.28814378,0.27457917,0.26540974,0.26214018,0.2683168,0.28834525,0.32158923,0.35811517,0.38274148,0.38417217,0.36206314,0.3263202,0.29045793,0.26574966,0.25696388,0.26305175,0.27767548,0.29460195,0.31231442,0.33915064,0.38841292,0.46585187,0.5582645,0.6348752,0.66948396,0.657242,0.62206,0.59269375,0.5869835,0.59876806,0.61197513,0.6091134,0.58254117,0.5347671,0.47919312,0.43248355,0.40438238,0.3897151,0.3733748,0.34309575,0.30029288,0.2581238,0.23173074,0.23006265,0.2555251,0.30651924,0.37696993,0.45395508,0.52073175,0.5640976,0.57936114,0.567352,0.5310549,0.47930717,0.42986235,0.40281156,0.4025536,0.4121714,0.40664634,0.37592304,0.33175993,0.2931076,0.26914373,0.2555425,0.24763261,0.24824142,0.26314726,0.29177877,0.32694796,0.36604628,0.41185308,0.46615353,0.51941675,0.55720407,0.5687284,0.5533176,0.5166705,0.46804634,0.41649902,0.3683308,0.32484517,0.2856422,0.25299597,0.2331792,0.23324873,0.25782445,0.30744705,0.3768722,0.4542543,0.5246236,0.57635856,0.6048112,0.6090618,0.58856416,0.5453712,0.49017015,0.44066295,0.41057453,0.39776823,0.38638017,0.3604066,0.31770352,0.27052096,0.23505388,0.22118206,0.22874236,0.2527463,0.28623024,0.3254591,0.36839902,0.41598725,0.46472192,0.50585157,0.5265047,0.52040124,0.4921269,0.4541489,0.41699266,0.38285795,0.34774697,0.31041777,0.28109905,0.2820951,0.33330622,0.4342768,0.554183,0.6475646,0.6824193,0.6602645,0.6111862,0.56703955,0.5423016,0.529219,0.51405674,0.48950958,0.45979246,0.43314043,0.4125357,0.39300373,0.36580428,0.3275772,0.2836183,0.24622329,0.2247817,0.2208457,0.22750215,0.24131,0.26588163,0.30980194,0.371359,0.43744826,0.48827067,0.51253825,0.5091154,0.48704982,0.45791224,0.43242094,0.41421875,0.39887264,0.377599,0.34435597,0.29998633,0.2510595,0.20727699,0.17953427,0.17797963,0.20982791,0.27612722,0.36897823,0.46816894,0.54478854,0.5735875,0.55138606,0.50060904,0.45481265,0.4323213,0.4280654,0.4228649,0.40310296,0.366732,0.3194016,0.26948097,0.2292682,0.21886192,0.25810203,0.35255584,0.4802074,0.5994837,0.6711128,0.6806211,0.6428402,0.58623815,0.53393465,0.49024865,0.44812977,0.3977648,0.3408402,0.2856198,0.24626328,0.22949976,0.23605454,0.2558774,0.27749142,0.29040396,0.292006,0.2851464,0.27620113,0.27145806,0.27615622,0.29436097,0.32695746,0.369985,0.41370317,0.44696772,0.46223798,0.4600489,0.4460065,0.42712924,0.40702665,0.38769677,0.3702228,0.35539082,0.34316382,0.3321308,0.32229984,0.31194595,0.29941058,0.28271762,0.26776725,0.266578,0.2907137,0.3395183,0.3989751,0.4505925,0.48185626,0.49062946,0.48183838,0.46253553,0.4383088,0.4129522,0.3890325,0.3688883,0.3527877,0.34217668,0.34158793,0.36376432,0.4196547,0.5086011,0.6069021,0.67929155,0.6970207,0.6578171,0.58480674,0.5094454,0.4505402,0.4063609,0.36575606,0.3224849,0.28089646,0.24883802,0.22982156,0.22140288,0.21824072,0.21525712,0.2096978,0.20216115,0.19679536,0.19809018,0.20862734,0.22806425,0.25629297,0.29343948,0.3384501,0.38471767,0.42217883,0.44195235,0.44262913,0.42974177,0.4110576,0.39206517,0.3748257,0.36069164,0.34986567,0.34215167,0.33707583,0.34039244,0.36441362,0.42170325,0.50917387,0.60118514,0.6598138,0.65978867,0.6065832,0.53201526,0.46925244,0.43306413,0.4160515,0.40592876,0.39387998,0.38008335,0.36494485,0.35142365,0.3407558,0.33457676,0.33079708,0.3270756,0.32173207,0.31408194,0.30186978,0.28303865,0.26123956,0.2478505,0.2541548,0.2802727,0.31228396,0.33319414,0.33500254,0.3231946,0.30761048,0.29570112,0.28802493,0.28475258,0.28563425,0.29194066,0.30076253,0.30757418,0.30713224,0.29910848,0.28661713,0.2753271,0.26923674,0.272246,0.28694174,0.31519032,0.3532909,0.39245233,0.42140636,0.43329564,0.42950416,0.41591266,0.39927733,0.3818562,0.36567423,0.35169017,0.3415381,0.3354306,0.33614686,0.35283944,0.39736518,0.47381234,0.5683801,0.65227795,0.69653624,0.68526787,0.6262758,0.54615885,0.482299,0.4598842,0.48045352,0.52130514,0.5553506,0.56589645,0.5508099,0.5156123,0.46859512,0.41787896,0.36936247,0.32475913,0.28442445,0.25099084,0.23020734,0.22690518,0.24208236,0.271144,0.30493033,0.33330432,0.35384598,0.37524056,0.41007677,0.45990643,0.5116531,0.5466475,0.5541741,0.5342296,0.49437833,0.44436026,0.39412522,0.3507475,0.3182917,0.2959586,0.28089502,0.26981834,0.26707867,0.28317115,0.32717732,0.39232472,0.45557126,0.49060807,0.48567978,0.4512923,0.4138839,0.39963213,0.41776726,0.4536654,0.47985992,0.47537306,0.43885878,0.38423395,0.32786468,0.28007418,0.24560054,0.2278201,0.2303146,0.25658002,0.30689248,0.37492383,0.44462156,0.49505988,0.5098835,0.488121,0.446038,0.41013062,0.40167835,0.42308554,0.45522818,0.47149983,0.45615017,0.41288137,0.35689065,0.30293012,0.2598023,0.23198748,0.22261862,0.2318366,0.25675818,0.29068458,0.32880613,0.36927184,0.414349,0.46184978,0.5028053,0.52343285,0.51691514,0.48828718,0.45067272,0.414629,0.38169298,0.34732506,0.31050655,0.28241995,0.28576985,0.3388733,0.43833637,0.55098295,0.6346812,0.6630778,0.643053,0.59990275,0.5574716,0.5229031,0.49291655,0.46383998,0.43840766,0.42137834,0.41331753,0.40759146,0.39509735,0.36960402,0.33172786,0.2879761,0.24949859,0.22533675,0.21862866,0.22436601,0.23977022,0.26745307,0.3144075,0.37756023,0.4435273,0.4933525,0.5173165,0.51544887,0.4963701,0.4696785,0.44397974,0.42257062,0.40260887,0.3775458,0.34248114,0.29812083,0.2502658,0.20796143,0.18075992,0.17618902,0.19756772,0.2435137,0.30705896,0.37524927,0.42951974,0.45511675,0.4489658,0.42585206,0.40632665,0.4050698,0.41852292,0.4323261,0.43114635,0.4100709,0.3723924,0.3272642,0.28794685,0.27504787,0.30846623,0.39341307,0.5067193,0.60490704,0.6483984,0.6254945,0.557774,0.48075876,0.42221785,0.38830796,0.37149897,0.36103427,0.35183588,0.34262526,0.33451986,0.3286636,0.32591394,0.3249562,0.32229137,0.3150426,0.30286393,0.2893084,0.27810767,0.2731098,0.27772573,0.29675603,0.33212522,0.37790284,0.42008123,0.4430928,0.4414403,0.41965082,0.39083672,0.36327013,0.34251,0.3263662,0.3156667,0.3084934,0.30625427,0.30602953,0.3070114,0.30495143,0.2974762,0.28262636,0.26697195,0.26292428,0.28256574,0.32622626,0.3808578,0.42799273,0.45493653,0.45960212,0.4485178,0.4293078,0.40805733,0.38710037,0.36909893,0.3549993,0.34536433,0.33994785,0.3443325,0.370267,0.429117,0.51732486,0.61074734,0.6754572,0.68935853,0.6560845,0.59962386,0.54471654,0.5018342,0.4646853,0.42210397,0.36829665,0.3091501,0.2580569,0.22860341,0.22616334,0.2444393,0.26977322,0.28838757,0.29432312,0.28906754,0.27926835,0.27089858,0.26984385,0.28140467,0.3104733,0.356016,0.409457,0.4564694,0.4856533,0.49258205,0.48153403,0.4596597,0.4343098,0.40989602,0.38864723,0.37123334,0.3564473,0.34604105,0.3457507,0.36951494,0.4267367,0.5138333,0.6032261,0.658736,0.6548199,0.59745544,0.517695,0.44972417,0.40932795,0.39026698,0.38007972,0.3695172,0.3583754,0.34695902,0.33794704,0.33171484,0.32913086,0.32784057,0.326597,0.32627454,0.32943836,0.3355572,0.33996096,0.33957872,0.3385794,0.34651557,0.36919346,0.4023161,0.43388662,0.4529288,0.45515856,0.44418254,0.42557082,0.40474197,0.3840392,0.36634743,0.35282207,0.34339345,0.3341314,0.3218944,0.30556142,0.28856114,0.27373946,0.2636862,0.2597537,0.26667026,0.28872728,0.32541987,0.36614478,0.39476493,0.3983542,0.3748758,0.33394554,0.2911391,0.26096255,0.25053933,0.25825337,0.27571464,0.29459393,0.31375834,0.34307063,0.396623,0.47788706,0.5697,0.6400891,0.66650754,0.65046364,0.6178179,0.59278786,0.585795,0.58754396,0.58477145,0.56539273,0.5268254,0.47694913,0.43373048,0.41249058,0.41144636,0.41084898,0.38941196,0.34243843,0.28358108,0.23257841,0.20336683,0.20207156,0.23103313,0.2890867,0.3684468,0.45202032,0.52059525,0.56120366,0.57227653,0.5576283,0.52229625,0.47460854,0.43006536,0.40609458,0.40613702,0.41444668,0.40755185,0.37613165,0.33158147,0.29253137,0.26841643,0.25560334,0.251296,0.26067868,0.29064104,0.33546257,0.37520275,0.3950005,0.39811096,0.40605924,0.43375835,0.47873977,0.51996666,0.53723055,0.5211999,0.47844967,0.42286417,0.36717844,0.3160781,0.2684727,0.22396542,0.18879624,0.17538601,0.19621968,0.25518736,0.34247375,0.43663573,0.5156422,0.566855,0.58981615,0.5881335,0.56382555,0.52009064,0.46898338,0.42921147,0.41180363,0.4085935,0.39819917,0.3643447,0.30816108,0.24422379,0.19029345,0.16093932,0.16734879,0.2132122,0.28957435,0.3729802,0.4367424,0.46448502,0.45860112,0.43570915,0.415344,0.40917757,0.41520408,0.42188033,0.41626787,0.39258492,0.3535577,0.31006765,0.2803154,0.28728426,0.3467265,0.45214307,0.56969386,0.6541619,0.677823,0.64628154,0.5931805,0.5504832,0.53139585,0.5250423,0.5160108,0.49562982,0.4680493,0.44099104,0.41781437,0.39438114,0.36357328,0.32328397,0.27913028,0.24275993,0.22224791,0.21828686,0.2237133,0.23526555,0.25558352,0.2896751,0.3326988,0.3719453,0.39812517,0.41412607,0.4303861,0.45028803,0.466602,0.467728,0.4500452,0.41874647,0.38146976,0.3412337,0.29667324,0.24699701,0.19542713,0.14988056,0.1213909,0.12056442,0.1534366,0.21558513,0.2947241,0.3733454,0.4391904,0.4830548,0.5021997,0.49462798,0.46561956,0.42428896,0.3829471,0.3474588,0.31627443,0.28279123,0.24564224,0.21450923,0.21183954,0.25933778,0.36164245,0.49196872,0.60235816,0.649462,0.62155426,0.544587,0.4606036,0.40233254,0.37504125,0.36726823,0.3629618,0.3557472,0.34410766,0.33083606,0.31771693,0.30758908,0.3006432,0.2947447,0.28548205,0.2696516,0.24662918,0.21911635,0.19199498,0.1729684,0.17047268,0.19084902,0.23196109,0.28230843,0.32468295,0.3461214,0.34249496,0.3196324,0.28657615,0.25326318,0.22646736,0.2111557,0.20772438,0.21364345,0.22441679,0.23715001,0.24909858,0.25568068,0.2503437,0.23115875,0.20545922,0.18723454,0.18725245,0.20518446,0.23110048,0.25209108,0.2608057,0.25662985,0.2447745,0.23003757,0.21572797,0.20165066,0.18823723,0.176385,0.17213635,0.18620814,0.23422717,0.32419837,0.44513574,0.5600855,0.6227786,0.6025076,0.5059206,0.3717649,0.24732167,0.16147012,0.11620846,0.0967586,0.08738636,0.07994908,0.07273931,0.06629216,0.0607525,0.055697124,0.05063585,0.04542196,0.040618446,0.03755794,0.03808637,0.042891994,0.050829455,0.058654983,0.06390506,0.06590977,0.066654466,0.06804826,0.07100787,0.074572064,0.07729902,0.078007944,0.076374084,0.072918065,0.068581216,0.064320184,0.0617244,0.066162534,0.090317845,0.15208231,0.26160514,0.4060656,0.5445555,0.62644464,0.61849934,0.5262099,0.3882152,0.25379205,0.15622015,0.102672316,0.08127338,0.07566621,0.07489645,0.07426443,0.07262003,0.069734894,0.06579562,0.06267324,0.064571284,0.07836308,0.10658779,0.14377753,0.17412217,0.18408825,0.16959453,0.14044602,0.10979029,0.08745593,0.07551497,0.07140463,0.07068091,0.06953434,0.06605031,0.060426343,0.054438125,0.05000788,0.048204344,0.048581973,0.04981957,0.050477143,0.050275158,0.05019097,0.051990032,0.056444805,0.062322933,0.066906236,0.06821192,0.06676563,0.06501877,0.06532541,0.06806121,0.07196585,0.07511736,0.07634316,0.07526848,0.07243588,0.06862491,0.06457656,0.063254096,0.07324838,0.11203424,0.19604635,0.32549486,0.4708748,0.58488786,0.6306264,0.60475737,0.5364724,0.4608201,0.4004966,0.36062536,0.34328234,0.35078207,0.380957,0.41929802,0.44398892,0.44059274,0.4102944,0.3664116,0.32189235,0.28188178,0.24456125,0.20764653,0.17340547,0.14878203,0.14119439,0.15352422,0.18070348,0.21427494,0.24860819,0.28716883,0.334932,0.39083752,0.4423388,0.47450638,0.47826198,0.4554012,0.41542092,0.37033725,0.33036602,0.30058023,0.28223297,0.2718865,0.264596,0.25451627,0.24326986,0.23972756,0.25518203,0.289551,0.32839993,0.35241684,0.35391834,0.34393325,0.34339562,0.3647295,0.40112877,0.4309021,0.43541968,0.41101077,0.36891904,0.32311213,0.28116664,0.24301058,0.20686674,0.17415889,0.15003915,0.14006703,0.14788336,0.17360628,0.21503104,0.26721478,0.3245876,0.3805107,0.4289707,0.46384177,0.4802693,0.47531652,0.45010814,0.41099596,0.3676935,0.3281797,0.293642,0.25949255,0.22161873,0.18301459,0.15405297,0.14743368,0.1699902,0.21884458,0.28079465,0.33944896,0.38049087,0.3979858,0.39304993,0.37395355,0.35127747,0.33425808,0.32473245,0.31733236,0.3039981,0.28165904,0.2567994,0.24607825,0.270998,0.34394285,0.45418096,0.5637184,0.62851524,0.6246473,0.5641318,0.479515,0.40102983,0.34308186,0.30962875,0.301778,0.31577954,0.33955094,0.35612667,0.35472247,0.33542433,0.30474827,0.26996642,0.23755826,0.2155152,0.20817362,0.2133535,0.22134645,0.2271887,0.23387027,0.24903448,0.272382,0.29559144,0.31232706,0.32566932,0.3441114,0.36828533,0.3888885,0.39388046,0.3798997,0.35262772,0.32014564,0.28666317,0.25244018,0.21743573,0.18329154,0.15404628,0.13541679,0.13449596,0.15653333,0.20032935,0.2547219,0.30111194,0.32407895,0.32171902,0.30858937,0.3038912,0.31673038,0.339291,0.35564044,0.35487652,0.33685327,0.30741227,0.27434972,0.24891184,0.25055358,0.29861066,0.39685884,0.5187401,0.6172407,0.65061593,0.60996795,0.522212,0.42931977,0.36034584,0.31950924,0.29501715,0.27574858,0.25896278,0.24750148,0.24376202,0.24757202,0.25697887,0.26822436,0.27687824,0.27815005,0.27002355,0.25260437,0.22952391,0.20653172,0.19266509,0.197191,0.2249636,0.27131152,0.32226035,0.36182895,0.38045385,0.3793663,0.36718026,0.35357785,0.3432126,0.33595526,0.32835552,0.31934044,0.30919257,0.3011819,0.29642358,0.2936314,0.28683737,0.2708529,0.24793726,0.23022906,0.23315232,0.2621113,0.30845916,0.3536415,0.383054,0.39081848,0.38250685,0.36656296,0.35181794,0.34085938,0.3330772,0.32522348,0.31650004,0.3107664,0.31785643,0.35211048,0.42120647,0.5159972,0.60398465,0.64713055,0.6257483,0.5558082,0.47639844,0.42074582,0.39719856,0.39113653,0.38634074,0.37501755,0.36106166,0.34845698,0.3399481,0.3326967,0.3251178,0.3145446,0.3015345,0.28512165,0.2657113,0.24312837,0.22036427,0.20328838,0.20034014,0.21803649,0.25626376,0.30646387,0.3550713,0.38996598,0.40566984,0.4038907,0.391008,0.37345076,0.3562944,0.3413253,0.32955775,0.32000816,0.31551185,0.32319203,0.35727218,0.426183,0.52233356,0.6139621,0.6615855,0.64046603,0.5593765,0.45245418,0.35666358,0.2914028,0.25715515,0.24551713,0.24799223,0.25683537,0.26582003,0.2714142,0.27485645,0.2784772,0.2833947,0.28885922,0.2949438,0.30088675,0.3037676,0.29801205,0.2836997,0.2688263,0.267751,0.28758565,0.32435176,0.36292493,0.389879,0.39763463,0.38964212,0.37295565,0.35651484,0.34383503,0.33508942,0.32720312,0.31765783,0.3055222,0.29012913,0.27156857,0.24885665,0.22353272,0.19936943,0.1847805,0.1885957,0.215981,0.26227105,0.31411874,0.3544921,0.3730828,0.3683842,0.34851184,0.32166302,0.29616693,0.27528468,0.2629067,0.25876942,0.26369298,0.27848193,0.31209686,0.37479755,0.4698131,0.57888,0.6675293,0.7022445,0.6740698,0.6043613,0.5312895,0.48471215,0.4717389,0.4790937,0.4881556,0.48576042,0.46752512,0.43603984,0.3988099,0.36496723,0.3389684,0.31724647,0.29124412,0.25577265,0.21414353,0.17674698,0.1559512,0.16161458,0.19742043,0.25815484,0.32976973,0.39559153,0.4435611,0.46916762,0.47162578,0.4513022,0.41349944,0.3721311,0.34483445,0.33851382,0.34269908,0.33896592,0.31851956,0.28974807,0.26594108,0.2531096,0.2456696,0.2413177,0.24587186,0.27080235,0.31688833,0.3721027,0.4177314,0.4409453,0.43790436,0.4131178,0.37819007,0.34998682,0.342345,0.3546683,0.37033308,0.36863378,0.34111145,0.2950851,0.24520497,0.20264995,0.1729471,0.15954904,0.1659727,0.19430543,0.24185783,0.30121934,0.36239472,0.41644946,0.45721066,0.48152104,0.48809123,0.47699666,0.45038566,0.41427287,0.37767944,0.34818384,0.3258864,0.3032029,0.27152124,0.22963303,0.1863993,0.15605386,0.1516332,0.1781165,0.22946577,0.28837872,0.33436146,0.3540338,0.34890196,0.33304295,0.32252014,0.325102,0.3358406,0.34356415,0.33904922,0.32051757,0.29224566,0.2639507,0.25198367,0.27727258,0.35187423,0.4637487,0.5731823,0.6355732,0.62862813,0.5673042,0.48646736,0.41610897,0.36593637,0.33334532,0.31560585,0.31334123,0.32367525,0.33678913,0.34099683,0.33043483,0.30642447,0.27483705,0.24314965,0.22045325,0.21178128,0.21568684,0.22334181,0.231144,0.24278696,0.26578763,0.29658115,0.32158294,0.32814202,0.31876278,0.30923834,0.31413814,0.33350417,0.35395297,0.3608718,0.34936884,0.32365036,0.29067573,0.25473753,0.21822508,0.18336721,0.15437402,0.13765787,0.14180756,0.17282712,0.22889726,0.29574743,0.3516458,0.37768814,0.37039843,0.34331974,0.31718013,0.3042152,0.30132034,0.29676273,0.2815683,0.25573623,0.2243641,0.19544022,0.18005659,0.1966546,0.26227292,0.3781285,0.5148332,0.6221938,0.6559317,0.6068249,0.50476533,0.3967822,0.3171698,0.27256286,0.24915683,0.23024426,0.20814179,0.18551886,0.16895074,0.163432,0.16917555,0.18245006,0.19731295,0.20830466,0.2118632,0.20706964,0.19578965,0.183192,0.17736061,0.18694027,0.21577935,0.26022068,0.30867422,0.3484342,0.36957863,0.3706307,0.35597196,0.33464482,0.3140951,0.29895055,0.2893866,0.2830977,0.2772504,0.27091616,0.2663165,0.26443776,0.26248768,0.2537119,0.23747909,0.22231181,0.22309059,0.24668239,0.2875371,0.32956496,0.35866237,0.36744133,0.35850874,0.33877286,0.31741455,0.3003092,0.29001704,0.28454456,0.28128716,0.2809175,0.29241133,0.3310121,0.40632892,0.5082626,0.6019116,0.64681715,0.62158555,0.5419962,0.44711027,0.37370518,0.33327794,0.31377214,0.29692975,0.2737483,0.24790652,0.22681195,0.21481402,0.21069215,0.21065706,0.21055587,0.20729066,0.19947119,0.18764775,0.17418015,0.16289358,0.15946482,0.17053509,0.20109016,0.2491564,0.30454051,0.35140446,0.37801746,0.38122472,0.369027,0.35156265,0.3376038,0.32739297,0.3193146,0.3096541,0.30056956,0.29655483,0.3089944,0.35008144,0.4272808,0.5303053,0.627914,0.6808784,0.66442966,0.5876927,0.48698828,0.40351084,0.35732815,0.34305224,0.34311748,0.3430724,0.33815542,0.3286241,0.31782502,0.308437,0.30245197,0.29893872,0.29656887,0.29474834,0.2924268,0.28599373,0.27071,0.24885404,0.23164064,0.23448093,0.26279297,0.30834278,0.35239482,0.37999415,0.3852196,0.37457418,0.35750255,0.34328115,0.33298412,0.3253635,0.3162935,0.3061341,0.29455778,0.28227106,0.26676884,0.24674653,0.22197177,0.19607276,0.17547296,0.1684556,0.18108398,0.21233499,0.25195563,0.28447923,0.29795933,0.29055882,0.27047482,0.24944782,0.23647392,0.2345887,0.24210739,0.25446936,0.26799074,0.28444323,0.3149608,0.37441078,0.46665522,0.57169324,0.65087944,0.6722525,0.630369,0.54966795,0.46127653,0.39055404,0.34813365,0.33984718,0.36222386,0.403764,0.44284728,0.4598907,0.44613495,0.4078332,0.35914758,0.31236506,0.2716364,0.23463066,0.19905674,0.16824621,0.15164113,0.16015308,0.19892998,0.26211593,0.3331795,0.39243153,0.4254744,0.42854205,0.40728378,0.37554368,0.3502071,0.3449875,0.35916698,0.37783095,0.38042572,0.3586695,0.32040727,0.28413758,0.2613157,0.25169176,0.24531221,0.23883735,0.23829532,0.2542701,0.28600976,0.3195386,0.33882907,0.3411893,0.34054077,0.3542457,0.38713208,0.42599463,0.44905367,0.4422593,0.40738574,0.35852745,0.30996373,0.26796627,0.23087192,0.19598557,0.16586818,0.14933342,0.1566596,0.19285917,0.25335696,0.32532668,0.39391705,0.44834843,0.48385847,0.49842975,0.49068895,0.46159506,0.41917196,0.3775281,0.34918812,0.3354123,0.32564056,0.30617502,0.27116492,0.22594136,0.18271202,0.15372811,0.1465336,0.1613176,0.19092144,0.22539896,0.25931144,0.2948036,0.3354359,0.37735102,0.4084541,0.41744244,0.40342295,0.37529334,0.34397832,0.31418538,0.2856258,0.26041973,0.25109974,0.2783827,0.35460678,0.46787366,0.5770622,0.6367611,0.6217149,0.54678017,0.45125982,0.3787296,0.351015,0.36382282,0.39329267,0.41354075,0.4113513,0.38922772,0.35864496,0.32839012,0.29992828,0.27105492,0.24241233,0.22099435,0.21227883,0.21575283,0.22246821,0.22816996,0.23518991,0.25075066,0.27365622,0.2964556,0.31334814,0.32780662,0.3468778,0.37008536,0.3879073,0.3897157,0.37378383,0.34665778,0.31590512,0.28434476,0.25083536,0.21484695,0.17849512,0.14702109,0.12740009,0.12768178,0.15310366,0.20139503,0.25998494,0.30964485,0.33533907,0.33475074,0.32106328,0.31194174,0.31806767,0.3347017,0.34868887,0.34833995,0.33158436,0.30266967,0.269761,0.24476959,0.24801274,0.299371,0.40246335,0.5285263,0.6274453,0.6570537,0.61266804,0.5281075,0.44836792,0.39977562,0.3772854,0.35971165,0.32893088,0.2846755,0.23960947,0.21017824,0.2040176,0.21837111,0.2417543,0.26242447,0.2717602,0.26768354,0.25184003,0.2299668,0.20918226,0.19797413,0.20238096,0.22440018,0.26033735,0.3019171,0.33925962,0.36398062,0.37360677,0.36986753,0.3579595,0.34166682,0.32523486,0.3116243,0.30287084,0.29840395,0.29623243,0.29538187,0.2934562,0.28709108,0.27152663,0.2493761,0.22991519,0.22609842,0.24298961,0.27590457,0.31295538,0.34278038,0.35941896,0.36266318,0.35629025,0.34416237,0.32995856,0.3167261,0.3068824,0.30181554,0.30357933,0.31990385,0.36273167,0.439539,0.5396993,0.6310389,0.67517287,0.64963555,0.56652987,0.46288702,0.37948224,0.33466983,0.32250762,0.32498887,0.32770276,0.3254578,0.3181651,0.30899528,0.30096397,0.29655704,0.29429102,0.29041854,0.28053686,0.2634761,0.24093354,0.2183947,0.20285077,0.201964,0.21960051,0.25397035,0.29694176,0.33783114,0.3675262,0.38199544,0.38247588,0.3733491,0.35912797,0.34333587,0.3287407,0.3172786,0.31014803,0.30960682,0.32355937,0.3643893,0.4389082,0.53420883,0.6150364,0.64430285,0.6084836,0.5318605,0.45512438,0.4087468,0.392568,0.38974452,0.38301146,0.36992657,0.3549107,0.3435111,0.33489248,0.32654044,0.3162988,0.30552456,0.29766628,0.2961401,0.30036044,0.30442357,0.29992965,0.2852749,0.2688847,0.26559687,0.2838817,0.32021508,0.36100534,0.3924079,0.40694678,0.40546787,0.39321527,0.37591732,0.357648,0.34099284,0.32784954,0.31761238,0.3079811,0.2947147,0.27547494,0.2501664,0.22238736,0.19901542,0.18907611,0.2009535,0.23622878,0.28766456,0.3405265,0.38110867,0.40197733,0.404439,0.39418507,0.37855145,0.3623627,0.34883332,0.33742544,0.32716414,0.3171413,0.31326744,0.32914287,0.38079715,0.4701425,0.57293594,0.6464088,0.65864897,0.61147577,0.53952897,0.47797891,0.44078398,0.41617107,0.39037678,0.36239246,0.34526885,0.35011518,0.37252435,0.3940697,0.39541653,0.37061906,0.32768938,0.27930433,0.2334399,0.19286032,0.16081817,0.14491387,0.15459384,0.19436522,0.25878432,0.33345738,0.40230337,0.45443645,0.48625413,0.49686888,0.48529196,0.45285836,0.40910232,0.369897,0.34719625,0.33847177,0.33078086,0.31348267,0.2896604,0.26856592,0.25625134,0.24850501,0.24336638,0.24513929,0.2650244,0.30621877,0.36228383,0.41928434,0.4662486,0.49635693,0.5059326,0.49283138,0.45913073,0.41415894,0.3715675,0.34190097,0.32474628,0.31002632,0.28609034,0.24918516,0.2055579,0.16682632,0.14385955,0.14275956,0.16508538,0.20806062,0.26639375,0.33201897,0.3957317,0.44813606,0.48218223,0.49437353,0.48505378,0.4582212,0.4209384,0.38231358,0.34936312,0.32305494,0.2972857,0.26488456,0.2247036,0.18513125,0.1595988,0.15991455,0.18949644,0.24178536,0.3013955,0.3517764,0.3814143,0.38898864,0.37989688,0.3636144,0.34809288,0.33825693,0.33250496,0.32521853,0.3100703,0.2861512,0.26110083,0.25230658,0.28153417,0.36060143,0.47728705,0.59259874,0.6614465,0.65960515,0.60001945,0.521393,0.4604911,0.43103477,0.4219434,0.41481557,0.39855,0.37490523,0.35110274,0.33145368,0.31363723,0.29179934,0.2639627,0.23484121,0.21471523,0.20916994,0.21627438,0.22596638,0.23446989,0.245628,0.26995313,0.30840442,0.35251877,0.3873483,0.4044167,0.4025737,0.38802782,0.36850417,0.3508279,0.3367776,0.32336172,0.30554402,0.28060713,0.24915875,0.21390457,0.17840521,0.14830394,0.13173456,0.13818824,0.17305233,0.23238929,0.29985365,0.3528397,0.37422872,0.36438742,0.33934376,0.31858173,0.3093386,0.30577898,0.29723248,0.27921548,0.2537419,0.22517385,0.19899006,0.18522006,0.20293021,0.26997426,0.38735202,0.5236108,0.62760204,0.6574905,0.6102521,0.5211911,0.43644032,0.38367382,0.36123312,0.35243574,0.34300092,0.33064637,0.320012,0.31430924,0.31079587,0.30414715,0.29112923,0.2733835,0.25404486,0.23543458,0.21732228,0.19991493,0.18612139,0.18234242,0.19558787,0.2275991,0.27217758,0.31565997,0.34517673,0.35357773,0.34369767,0.32249495,0.29820132,0.27520177,0.256892,0.24482739,0.23983411,0.24045129,0.24447699,0.2506896,0.25668624,0.25864673,0.25042474,0.23216648,0.21012986,0.19532166,0.1919169,0.19652975,0.20144486,0.20342398,0.20470054,0.20827037,0.21304856,0.21417916,0.20910561,0.20053029,0.19493224,0.19766922,0.2128523,0.24672063,0.3086655,0.402344,0.51479214,0.6119099,0.6559929,0.6264845,0.53844225,0.42962813,0.33943233,0.28366587,0.25551653,0.23788346,0.22027802,0.203071,0.19159341,0.18857662,0.19034433,0.19074237,0.18519203,0.17386718,0.15961577,0.14609031,0.13617629,0.1326664,0.13862611,0.1564563,0.18660338,0.22618432,0.2696325,0.30963933,0.33967367,0.3559936,0.35910717,0.35238954,0.34027454,0.32658806,0.31482792,0.30682504,0.30359945,0.3067819,0.32425973,0.3677454,0.44385836,0.54016876,0.6238176,0.65894014,0.6302969,0.55700904,0.47682333,0.42105952,0.39447832,0.38239416,0.36728075,0.34304294,0.31322578,0.285434,0.26495802,0.25529134,0.25555694,0.26329768,0.27321148,0.28264824,0.28717855,0.2839942,0.26937795,0.24875993,0.23295105,0.23574074,0.26056263,0.30074036,0.34199715,0.37283102,0.38748464,0.38772514,0.3777301,0.36264428,0.34574828,0.33056942,0.31905535,0.31126556,0.3037398,0.2923857,0.27425364,0.25051454,0.22483462,0.20458786,0.1973892,0.21049349,0.24464948,0.29278064,0.3410301,0.37526456,0.3892367,0.38476697,0.37121126,0.35603786,0.34448442,0.3355678,0.32754803,0.3181547,0.30928245,0.30823275,0.32937947,0.38622764,0.47895303,0.5843567,0.66678363,0.7007068,0.68868583,0.654689,0.62216926,0.5991617,0.5784294,0.5504968,0.5110822,0.4655695,0.42572442,0.40572998,0.4124956,0.44017375,0.4696488,0.48038802,0.4629248,0.42828223,0.40139064,0.40410337,0.43703976,0.47788358,0.49788404,0.4825139,0.43852493,0.3864919,0.3475273,0.33515608,0.3490593,0.375667,0.39467838,0.3957597,0.38541678,0.3819114,0.3934317,0.41126645,0.4147749,0.39446023,0.35971177,0.33601832,0.3447529,0.3905289,0.45773378,0.5235151,0.5708547,0.59506816,0.59735113,0.57854056,0.5396739,0.49061632,0.45118263,0.44041657,0.4599245,0.49124655,0.50800246,0.4949255,0.45602116,0.4120953,0.3865136,0.39070868,0.41428223,0.43619537,0.44308063,0.44343212,0.45503834,0.487029,0.5300782,0.56778216,0.58934605,0.5925624,0.57809144,0.5462904,0.50187284,0.45614538,0.42152715,0.40004185,0.38091245,0.35048464,0.30605528,0.2594463,0.22761576,0.22264569,0.2472742,0.29753834,0.36356917,0.4299718,0.47982106,0.50060135,0.49204376,0.46416807,0.43397745,0.41413137,0.4080423,0.40770927,0.4022218,0.38535562,0.35956845,0.33409515,0.32060298,0.32801375,0.35391244,0.38327327,0.3967297,0.38934395,0.37578896,0.37909028,0.4086847,0.45424655,0.4953111,0.516269,0.5112025,0.48154375,0.43636736,0.39277998,0.37229052,0.38624564,0.42778644,0.47493005,0.50623274,0.51041484,0.4857855,0.43702337,0.37399077,0.31387147,0.2722177,0.25438467,0.24904597,0.23897766,0.21173371,0.16871451,0.11970484,0.07639112,0.04464222,0.024861656,0.013725493,0.0077884155,0.004542099,0.002676055,0.00155904,0.00088503887,0.00049073907,0.00026611608,0.0001408981,7.264542E-05,3.5788446E-05,1.63514E-05,6.616181E-06,2.209279E-06,5.4189144E-07,8.424565E-08,1.8332361E-09,7.722892E-13,0,0,0,0,6.716186E-14,2.4614543E-05,0.003350667,0.019881198,0.06962407,0.16987514,0.31974125,0.483981,0.61017185,0.65685123,0.62264854,0.540747,0.45357254,0.3865811,0.34180483,0.3090026,0.27992368,0.2547442,0.2407438,0.24352711,0.26230145,0.28776214,0.30875286,0.31744626,0.31337324,0.30098903,0.28681752,0.27511457,0.26852122,0.26873258,0.27815804,0.29705623,0.32128668,0.34305045,0.35370943,0.347634,0.3239576,0.28996825,0.25950956,0.24684177,0.25622684,0.28015748,0.30427277,0.3185562,0.31890643,0.30758342,0.2862802,0.25892738,0.23131599,0.2160704,0.22545628,0.2652123,0.32608962,0.38958073,0.43703791,0.4608074,0.46430716,0.4565868,0.4442264,0.4294615,0.41264543,0.39653984,0.3849605,0.38134876,0.3867934,0.40547112,0.44392708,0.50603485,0.58120495,0.642694,0.66200393,0.6277903,0.5566066,0.4787573,0.4190468,0.3812727,0.3535821,0.32233968,0.28527334,0.2517888,0.23271205,0.22933598,0.23258765,0.23147629,0.22179039,0.20723577,0.19472037,0.1898408,0.19433622,0.20671564,0.2237321,0.24358726,0.26629403,0.29199302,0.31778318,0.33691642,0.34209707,0.32925746,0.30263242,0.2729558,0.25409698,0.2537352,0.27029908,0.2936826,0.3138084,0.32861754,0.3479872,0.38874927,0.46053472,0.55387735,0.63804823,0.6804994,0.66631246,0.611049,0.54435426,0.49053124,0.4516712,0.4158775,0.3717709,0.3208736,0.27539146,0.24799114,0.24357076,0.25691524,0.27759305,0.2954872,0.30567992,0.3090273,0.3090564,0.30764782,0.3038042,0.2971449,0.29155806,0.29307744,0.30386972,0.31896803,0.33056772,0.3358111,0.33808577,0.34384093,0.35445854,0.36760113,0.3780619,0.38605294,0.3948522,0.4109048,0.434068,0.45891443,0.47494754,0.47726595,0.46613154,0.447261,0.42498943,0.40386465,0.38706458,0.3765283,0.37038442,0.36497352,0.35825136,0.35112762,0.34656528,0.34768417,0.3570688,0.3754221,0.39877176,0.42061195,0.43548915,0.4469612,0.4666116,0.5079007,0.5731023,0.64550203,0.6963851,0.7031129,0.6685478,0.6183574,0.5826017,0.573734,0.58401036,0.5958566,0.59385806,0.5686197,0.519699,0.4586823,0.40834078,0.390072,0.41116858,0.45982227,0.5156718,0.5603774,0.5847926,0.58649445,0.5675437,0.53253466,0.48892388,0.44506988,0.40737095,0.3793106,0.36551762,0.37301028,0.40679297,0.45977584,0.51412565,0.5499552,0.55785346,0.53786063,0.4956027,0.438035,0.3760284,0.3233104,0.29352412,0.29493877,0.3288691,0.38798392,0.45838705,0.52352047,0.5714543,0.5973341,0.6010461,0.5830409,0.54591143,0.5001904,0.46498203,0.45850083,0.4839388,0.5271904,0.5670819,0.5895782,0.5902272,0.5697463,0.5315541,0.48417076,0.44116858,0.41382006,0.4068279,0.4190069,0.44840083,0.48987818,0.53456575,0.57090527,0.59243417,0.59738374,0.58624214,0.5578533,0.5140626,0.46227947,0.41356507,0.3734769,0.3389829,0.30295414,0.2643411,0.2304527,0.2121743,0.21672477,0.24612874,0.29727754,0.3608633,0.41932717,0.45379135,0.45530626,0.43434384,0.41246602,0.4066311,0.41590318,0.42682484,0.4264765,0.41231966,0.38917348,0.3647537,0.34921768,0.35766456,0.40426207,0.48920178,0.59210795,0.6771098,0.7137456,0.69226146,0.6322573,0.5682185,0.52910346,0.52084917,0.52722526,0.5247851,0.49715307,0.4453915,0.3873922,0.3479185,0.34176096,0.36085752,0.38356772,0.39018497,0.37686625,0.3480103,0.30999187,0.26906064,0.23537207,0.2195863,0.22311743,0.23550995,0.24067473,0.22825718,0.19777532,0.15619485,0.1126275,0.07426835,0.044974353,0.025167473,0.013179687,0.0065666256,0.0032266018,0.0026470122,0.0069489535,0.021989845,0.05491155,0.11165538,0.1931442,0.29561302,0.40888104,0.51675725,0.59877515,0.6381497,0.63054925,0.587178,0.52992374,0.47922608,0.44475344,0.42146996,0.3974904,0.36284313,0.3164221,0.26611567,0.22829567,0.22696394,0.28111717,0.39027166,0.5204614,0.6229329,0.6611619,0.63688636,0.58206695,0.5316953,0.50120056,0.48006007,0.45130816,0.40566853,0.3529854,0.31160417,0.29502478,0.3021855,0.31869528,0.3304993,0.32907447,0.31715357,0.29995236,0.28461835,0.27342728,0.26797226,0.26941988,0.28200817,0.3079696,0.3429055,0.37403724,0.38674402,0.37222683,0.33288002,0.2815122,0.23693477,0.21508054,0.22074033,0.24606848,0.2759167,0.2981024,0.3062978,0.30091843,0.28343704,0.25789148,0.23064746,0.2142834,0.22119035,0.25715783,0.31310487,0.37049517,0.4108311,0.42761,0.42656744,0.41909596,0.41259885,0.4079608,0.40362144,0.40091574,0.40392482,0.4146042,0.43189216,0.45461693,0.48904753,0.541025,0.6098664,0.67468065,0.70972985,0.6950305,0.63710946,0.55766326,0.48198006,0.41951835,0.36664352,0.316119,0.26933816,0.23540603,0.22197498,0.22587176,0.2352878,0.2380643,0.23024672,0.21555515,0.20157774,0.19479465,0.19840737,0.21241981,0.23563652,0.26876512,0.31269577,0.36569288,0.41873983,0.45895135,0.4730403,0.4555141,0.41151595,0.35793778,0.31578413,0.29821834,0.30432835,0.31994545,0.33237278,0.33784124,0.3487384,0.3826894,0.4514471,0.54619354,0.63793486,0.6940412,0.6968108,0.6562069,0.5959919,0.538667,0.49090254,0.44885746,0.40825164,0.36879417,0.33525756,0.3092328,0.29333788,0.28610945,0.28756762,0.29215023,0.29496363,0.28945938,0.27405038,0.24987692,0.22444852,0.20968486,0.21853416,0.25647137,0.31520355,0.3760886,0.42031255,0.4403678,0.4415253,0.434685,0.4270675,0.41944924,0.4109837,0.40409943,0.40386367,0.41186094,0.42324662,0.42905268,0.42528597,0.41453823,0.40425488,0.39712897,0.3925548,0.3896444,0.39265296,0.4050955,0.42330495,0.43545923,0.43031046,0.40681434,0.3751446,0.34987426,0.3397567,0.34506425,0.35865906,0.37291566,0.38342413,0.3942422,0.41775027,0.466791,0.5424365,0.6241112,0.6810618,0.692288,0.6645275,0.62512106,0.59924346,0.5936106,0.59552246,0.5883651,0.55869585,0.5040166,0.4323707,0.36524758,0.325846,0.32755455,0.36504745,0.42256024,0.48333812,0.5352717,0.56925374,0.57942486,0.5653915,0.5329558,0.4911194,0.44763482,0.40651456,0.36926982,0.33835256,0.31772676,0.30950257,0.31134716,0.32164073,0.3440385,0.38306543,0.43204153,0.47032893,0.47746333,0.4477011,0.39419731,0.3357289,0.28986242,0.2688026,0.2831801,0.3353468,0.41491023,0.49788842,0.5579182,0.5766981,0.5510749,0.4930148,0.42792925,0.38380846,0.37691987,0.39907014,0.42494893,0.43186674,0.41935542,0.40711164,0.4164633,0.44979092,0.48771194,0.5039136,0.4867985,0.4491864,0.4187479,0.41610566,0.43791795,0.4613668,0.46340725,0.44168213,0.41505823,0.40813458,0.4293815,0.46412,0.48545083,0.47353387,0.42794967,0.36383715,0.30047438,0.25067928,0.21965207,0.20839126,0.21770366,0.24875565,0.29919136,0.3592228,0.41004825,0.4342121,0.42737612,0.405756,0.39290377,0.4018872,0.42454278,0.44214472,0.4415357,0.42298415,0.3942585,0.36429453,0.3440763,0.34893227,0.39361444,0.47774112,0.5813436,0.6693091,0.7152674,0.71124035,0.6741116,0.62527186,0.5808684,0.54161537,0.5033724,0.46328387,0.423524,0.38935494,0.36687574,0.3642614,0.3856715,0.42698106,0.47229627,0.50181204,0.4997994,0.4621432,0.3988646,0.33399954,0.2955285,0.29954234,0.3368231,0.37898374,0.39918366,0.39358068,0.38172325,0.38811326,0.41809294,0.4536837,0.46556416,0.43584898,0.36504707,0.27127507,0.1769797,0.101946585,0.056559738,0.044370532,0.06415814,0.1146018,0.19328763,0.29584283,0.41104388,0.52023643,0.60077995,0.63611436,0.6245901,0.5801766,0.5254639,0.47903594,0.44763735,0.42430094,0.39741865,0.35925433,0.31112492,0.26205766,0.22778618,0.23064446,0.28768507,0.3967661,0.522692,0.6163471,0.642318,0.606083,0.54388636,0.49299863,0.46569094,0.44710472,0.41856825,0.3739643,0.3265418,0.29352298,0.28541788,0.29740444,0.31682196,0.3297331,0.3301536,0.3183607,0.3007982,0.28320745,0.2715142,0.26912138,0.2809569,0.30976555,0.35401475,0.40401736,0.44537595,0.46499184,0.4559474,0.420612,0.3707027,0.32416537,0.29730168,0.2945381,0.3082445,0.32304397,0.3291502,0.32275227,0.30725,0.2840641,0.2556047,0.22565758,0.20551671,0.2087294,0.24334662,0.3032091,0.36950818,0.4201022,0.44033647,0.42830852,0.39394593,0.35331464,0.3220652,0.31011438,0.32016525,0.348848,0.3886335,0.43183747,0.4752419,0.5230977,0.57993054,0.6409924,0.6849344,0.6881805,0.64052755,0.5608501,0.48040715,0.42346546,0.38734475,0.35385844,0.30804136,0.25326106,0.20553076,0.17877905,0.17455114,0.18399076,0.19527908,0.20142438,0.2010038,0.19793104,0.1973821,0.2035038,0.21772398,0.2406037,0.2741973,0.31958187,0.3737084,0.4257407,0.4627454,0.47262275,0.45183492,0.4059546,0.3520653,0.31072524,0.29475033,0.3025008,0.31908607,0.33185783,0.33726105,0.34842792,0.38293955,0.4518814,0.5437092,0.62578726,0.6637866,0.64383596,0.58605796,0.5234835,0.48225605,0.46240023,0.45240137,0.4397761,0.4229988,0.40399146,0.38578165,0.36919847,0.35506824,0.34328136,0.3317131,0.3177406,0.29861227,0.2741675,0.24557759,0.21856211,0.20305453,0.21104749,0.24763669,0.30419877,0.36136508,0.3988963,0.4088495,0.3949052,0.3697159,0.3419884,0.3174907,0.29656726,0.28323576,0.28085056,0.29150096,0.30857813,0.32325098,0.32852706,0.32631275,0.3209182,0.3162204,0.31106296,0.30440006,0.29660606,0.29060364,0.2889005,0.2907757,0.29267803,0.28962925,0.280923,0.2701124,0.26378205,0.26414856,0.26804423,0.26833764,0.262808,0.2569534,0.264909,0.29636785,0.35129502,0.41065946,0.4512178,0.45097843,0.40802097,0.3335824,0.25109383,0.17834131,0.12529992,0.09065523,0.06949907,0.056174118,0.047296166,0.040909093,0.036204934,0.032702174,0.030058404,0.027871856,0.025943585,0.024405383,0.023653416,0.023811473,0.024479099,0.024872093,0.024537893,0.023616487,0.022733355,0.022355616,0.022437504,0.022384113,0.021489212,0.019469187,0.01665167,0.013720055,0.011200894,0.00924081,0.0077198152,0.0065308153,0.0057725855,0.00578313,0.007008016,0.009623076,0.013209046,0.016745592,0.019192958,0.020042012,0.019548116,0.018343292,0.01703748,0.015862746,0.014680984,0.0131652765,0.011180776,0.008981726,0.007040637,0.0056844107,0.0048736497,0.0043774876,0.0040547824,0.0041009746,0.004973576,0.007104567,0.010371759,0.013966885,0.016715312,0.017946884,0.017792137,0.017007254,0.016165145,0.015406314,0.014419731,0.012941871,0.010954256,0.008829812,0.007031197,0.0058523105,0.0052065263,0.0048123854,0.0044648084,0.0042735855,0.0046593244,0.006151783,0.009016153,0.0129308,0.016971601,0.020086063,0.021613106,0.02157388,0.020394184,0.018608471,0.016562792,0.014456364,0.012381642,0.010476075,0.008916444,0.007839123,0.0072106067,0.0068506054,0.0065900325,0.0064458475,0.0067139897,0.0079121115,0.010542151,0.0146146715,0.019393288,0.023553038,0.025986046,0.02632198,0.025076047,0.023035211,0.020860458,0.018760135,0.016725114,0.014692317,0.012805796,0.01128731,0.010286261,0.009701635,0.009311189,0.008966421,0.008777949,0.009128452,0.010524336,0.013209236,0.016823763,0.020366741,0.022840237,0.023845494,0.023858778,0.023579264,0.023401136,0.02305732,0.022096917,0.02027741,0.017924095,0.015655233,0.014029786,0.013192398,0.012944008,0.012977906,0.013147839,0.013591312,0.0146813765,0.01679849,0.01985947,0.02312036,0.0253835,0.025842493,0.024541894,0.022381281,0.020335577,0.018934982,0.017990312,0.017014218,0.015642906,0.014025558,0.012589677,0.0116882445,0.011260009,0.011021097,0.010763577,0.010634827,0.011103059,0.012750734,0.015838817,0.019937461,0.023944661,0.026679484,0.027617706,0.027062424,0.025768211,0.024281457,0.022776453,0.021098489,0.019164585,0.017066404,0.015164681,0.013773129,0.013026353,0.0127749415,0.012832682,0.0131541155,0.013924099,0.015512732,0.018226968,0.022029346,0.026287608,0.029961614,0.03219297,0.03272319,0.031986225,0.030594362,0.029099323,0.027734175,0.026591167,0.025605083,0.024767002,0.024101922,0.02365738,0.023385825,0.023136066,0.022867827,0.022714341,0.023095092,0.024484545,0.027169576,0.030884912,0.034718573,0.037568126,0.038748767,0.03836363,0.03706451,0.035505738,0.034078866,0.032822307,0.031660397,0.030601481,0.029758109,0.029389879,0.029498942,0.029959418,0.03038908,0.030584669,0.030652808,0.031034803,0.03235729,0.034744874,0.037789453,0.040391665,0.04175678,0.041625638,0.040565107,0.039262384,0.03821667,0.037558626,0.037241768,0.037188593,0.037289362,0.03739448,0.03738293,0.037214484,0.036953956,0.036666587,0.03639884,0.036364526,0.03693384,0.038550973,0.041165132,0.04413393,0.04639555,0.04714584,0.046267267,0.044304978,0.04207905,0.040213328,0.038916346,0.03808108,0.037437607,0.036814604,0.036107395,0.0353884,0.034724932,0.034204897,0.033855334,0.033839177,0.03456758,0.036523376,0.03989463,0.04411225,0.04809658,0.05078828,0.051780596,0.051559303,0.050962683,0.051002603,0.051961392,0.053875785,0.056049306,0.058044452,0.05932912,0.05983129,0.059592035,0.05867103,0.05728973,0.05541886,0.053716242,0.052725453,0.053498328,0.055894177,0.05912036,0.061453003,0.061805423,0.060024273,0.056773353,0.052963573,0.049140364,0.045651402,0.042597335,0.040019263,0.03805885,0.03661074,0.035641458,0.034703214,0.0337989,0.032996133,0.032880668,0.033980135,0.036780205,0.041313883,0.04685797,0.052112136,0.05585346,0.057704765,0.058354188,0.05879532,0.059870865,0.061628643,0.06378355,0.065856904,0.06770284,0.069438316,0.07119409,0.07282879,0.073833846,0.073665194,0.07221613,0.06999039,0.06796023,0.066740476,0.06604611,0.06460666,0.061099146,0.05514994,0.047654465,0.040162962,0.034228954,0.031042844,0.031465027,0.035688654,0.043204263,0.052801806,0.06290255,0.07178662,0.07820811,0.08209251,0.084517725,0.086750895,0.08924765,0.0919353,0.094825745,0.09825971,0.10187683,0.10475412,0.10596406,0.10600618,0.10603244,0.10686914,0.10804544,0.10871878,0.10875287,0.1084552,0.107978165,0.1066103,0.10421619,0.101356156,0.099218704,0.09805983,0.097388625,0.09680632,0.09659665,0.09740925,0.09888664,0.10017368,0.1003482,0.09981694,0.09928601,0.0991533,0.09894956,0.09840247,0.09816585,0.09894028,0.10065792,0.10211873,0.10295007,0.10384551,0.105917394,0.109039664,0.112465195,0.11633482,0.121551834,0.12832178,0.13494359,0.13972561,0.14266975,0.14510565,0.14756238,0.14877494,0.14778936,0.14481242,0.14131474,0.13754721,0.13328499,0.128154,0.12293208,0.11805106,0.113132484,0.107393414,0.100821815,0.09492282,0.09106523,0.08966008,0.08890382,0.08646264,0.080599725,0.07163298,0.061432865,0.052192226,0.0455531,0.041959256,0.041147873,0.04216719,0.044199947,0.046847332,0.050461095,0.055727527,0.063268155,0.07339699,0.086143404,0.10133582,0.1185393,0.13695352,0.15521191,0.17154698,0.18423603,0.1925246,0.19701795,0.19955035,0.20212711,0.20611034,0.21168159,0.21821488,0.22470228,0.23032717,0.23452671,0.23709784,0.23803854,0.23756789,0.23596191,0.23360105,0.23100466,0.22893856,0.22814393,0.22889501,0.23067148,0.23250397,0.23360611,0.23382582,0.23338985,0.23254173,0.23129845,0.22973275,0.22810966,0.22699022,0.22691864,0.22825791,0.2310126,0.23498727,0.2398929,0.24546528,0.25144318,0.2575519,0.26359555,0.2694061,0.27497554,0.28024256,0.28523102,0.2897075,0.2932807,0.29522052,0.29480395,0.29157028,0.2856561,0.27786276,0.26924357,0.26063624,0.25219348,0.24350524,0.2338535,0.22262843,0.20955189,0.19470789,0.17834987,0.16065322,0.1418323,0.12250114,0.10387608,0.08749306,0.074625246,0.0661229,0.06247339,0.06404503,0.07093731,0.0828455,0.09873724,0.116835125,0.1348446,0.15082,0.16360873,0.17299591,0.1793357,0.18365945,0.18741973,0.19194531,0.197787,0.20480673,0.21267237,0.22105129,0.22971004,0.23844402,0.2472558,0.2558912,0.2640591,0.27159372,0.27916148,0.28759038,0.29723907,0.3075523,0.31764212,0.32690135,0.33475515,0.34091723,0.34521964,0.34830073,0.35054946,0.35227203,0.3532264,0.35347334,0.35257947,0.34980282,0.34414232,0.33523467,0.32325998,0.3088616,0.29312083,0.2775459,0.26354167,0.25186267,0.24268055,0.2359115,0.23140262,0.22859687,0.22672705,0.22505802,0.2236067,0.22240172,0.22126342,0.21902508,0.21494985,0.20881116,0.20157747,0.19435762,0.18829614,0.18413788,0.18232565,0.18303771,0.18620534,0.19160472,0.19905452,0.20835947,0.21913515,0.2307241,0.24251704,0.25440538,0.266397,0.27864268,0.29094756,0.3031826,0.31467947,0.3251582,0.33461976,0.34394145,0.35315585,0.36170802,0.36834022,0.37280402,0.37524796,0.37592873,0.3745574,0.37079743,0.3645126,0.35528982,0.3426956,0.32673633,0.30874658,0.29044345,0.2728283,0.2555952,0.23797691,0.21971409,0.2015702,0.1852696,0.17300488,0.16668946,0.16716576,0.17417793,0.18633771,0.20208569,0.2196876,0.23806794,0.2561165,0.27341625,0.28984165,0.3057882,0.32117584,0.3356147,0.34878638,0.36056587,0.37053856,0.3779128,0.38262567,0.38553405,0.3875948,0.3887502,0.38873157,0.38792717,0.387422,0.38760135,0.38820934,0.38890898,0.3899571,0.39101657,0.3919623,0.39411733,0.4019042,0.41713884,0.4351757,0.44436017,0.43795213,0.42053434,0.40462682,0.39609078,0.3868004,0.36466715,0.32828763,0.29471752,0.28574565,0.31408456,0.37330118,0.4468591,0.51695365,0.574135,0.61604553,0.6435372,0.65768224,0.6583223,0.6495638,0.63494927,0.61573094,0.58280444,0.52592975,0.4414691,0.34083804,0.24439831,0.1721204,0.13494933,0.13165496,0.15213758,0.18278456,0.2137639,0.24018764,0.26154637,0.2779767,0.2901443,0.29835376,0.3033295,0.30602565,0.30811796,0.3117948,0.31977358,0.33720425,0.3700366,0.41958678,0.47328433,0.5075848,0.5026782,0.4605876,0.40527117,0.36429337,0.349434,0.35308886,0.3615464,0.36688033,0.36923873,0.37187314,0.3782464,0.39429653,0.42473936,0.46714965,0.50433993,0.5146009,0.48646975,0.43057236,0.37015173,0.32520494,0.30234066,0.2977027,0.30317155,0.30990574,0.31058505,0.303408,0.29185447,0.2810903,0.27206564,0.26346758,0.2544331,0.24650079,0.24100713,0.23838799,0.23976596,0.24826823,0.26941237,0.30882707,0.36797905,0.4379743,0.49845597,0.5266971,0.51190656,0.46220383,0.3988305,0.34170184,0.30161634,0.27856275,0.2694379,0.26986313,0.2777387,0.29212406,0.317857,0.36138335,0.4231771,0.48688778,0.5250533,0.51438546,0.45254326,0.35791728,0.2595968,0.18317841,0.14340751,0.14100216,0.16647814,0.20611314,0.24979524,0.29246965,0.3328084,0.36912575,0.39967898,0.4236215,0.44213918,0.45700422,0.4690467,0.477512,0.4819099,0.484153,0.49019822,0.50649977,0.53513557,0.5698221,0.5978547,0.60592604,0.5858774,0.5401212,0.48086846,0.4254087,0.38540098,0.36188665,0.3471799,0.33479574,0.32655194,0.33380267,0.36720833,0.42585573,0.4900547,0.53193593,0.5297021,0.48145235,0.40181002,0.31453452,0.24029793,0.1918482,0.16925943,0.16383709,0.16292393,0.15955086,0.15349084,0.14993204,0.15243687,0.16167276,0.17540586,0.19131887,0.2070852,0.21965148,0.22529934,0.22384305,0.2243094,0.24444616,0.29805169,0.37891635,0.45766285,0.49871048,0.48362744,0.42100823,0.33804914,0.2632087,0.21453948,0.19606496,0.20183963,0.22162203,0.24779534,0.27913904,0.321339,0.37926948,0.4484103,0.50892097,0.53529865,0.51037115,0.43864453,0.34243128,0.25088856,0.18543772,0.15456869,0.15390272,0.17259134,0.19929416,0.22738723,0.2549281,0.281431,0.30484506,0.32174227,0.3306874,0.33346292,0.33355,0.33359793,0.33403632,0.33655167,0.3453522,0.36886942,0.41182032,0.46941495,0.5235253,0.5518784,0.54076296,0.49300945,0.42550287,0.35794082,0.30365592,0.26616213,0.24154551,0.22509545,0.21467239,0.2161362,0.24009271,0.29582128,0.3782033,0.46388182,0.520745,0.5264971,0.48088703,0.40270594,0.31750688,0.24645048,0.20082091,0.18094997,0.17849244,0.1817561,0.18263753,0.18028377,0.17807537,0.17977734,0.1848238,0.19180278,0.19898905,0.20752071,0.2190988,0.23454373,0.25486517,0.28180838,0.32191178,0.37846622,0.44617876,0.50402254,0.5283198,0.50658274,0.4484332,0.37643918,0.3118496,0.26468936,0.23407452,0.21502781,0.20224185,0.19534476,0.1999402,0.22839653,0.28972518,0.37804723,0.4660499,0.5180402,0.5115334,0.45268628,0.3693241,0.2929385,0.24227758,0.22138323,0.22240911,0.23229332,0.23748319,0.23164637,0.21729422,0.20228474,0.19169754,0.18634503,0.18378133,0.1837676,0.18598355,0.19155963,0.19972031,0.21254511,0.2357537,0.27883235,0.3463459,0.4271287,0.49448428,0.51878804,0.48815036,0.41384065,0.32298467,0.24030095,0.18018232,0.14397499,0.12672056,0.12096634,0.12368282,0.13933428,0.17953078,0.2526321,0.35110906,0.4466181,0.50413877,0.5027412,0.44965246,0.37172255,0.2987331,0.24794482,0.22268635,0.21603787,0.21733235,0.21726324,0.21248792,0.20639879,0.20343298,0.20350702,0.20077497,0.19097053,0.17564099,0.16217339,0.15667744,0.16156076,0.1768334,0.2059203,0.25556675,0.32794747,0.41103578,0.47843465,0.5055067,0.48495638,0.43160644,0.36860654,0.31514704,0.2795974,0.26387015,0.26481235,0.2782674,0.29865733,0.32519123,0.36039278,0.4085201,0.46436357,0.5102165,0.521938,0.4849502,0.40525723,0.3053881,0.21243872,0.14615037,0.11583066,0.1195246,0.1471659,0.18459956,0.22126587,0.25242507,0.27724764,0.29460093,0.3028506,0.30315185,0.2990513,0.29453194,0.2901107,0.28454646,0.27935457,0.28243193,0.30658007,0.35844338,0.42933455,0.4936429,0.5231109,0.5033988,0.441545,0.35980618,0.2813919,0.22146754,0.18293439,0.16130386,0.14946063,0.14513959,0.15340362,0.18650083,0.25305605,0.3474259,0.44263235,0.5046712,0.51049215,0.46373674,0.38717186,0.30947113,0.250383,0.21734612,0.20620579,0.20696838,0.2101637,0.21195234,0.21333782,0.2159539,0.21916056,0.22127984,0.22227103,0.22340064,0.22637503,0.23197849,0.24155933,0.25730762,0.284112,0.32811284,0.39166155,0.46608314,0.53072053,0.5637681,0.5538873,0.50660735,0.437556,0.3661072,0.30714563,0.2683741,0.24853607,0.24119747,0.24223424,0.25353682,0.28425393,0.3397728,0.41498223,0.4869834,0.52746695,0.51539177,0.45166323,0.35594788,0.2579716,0.18401945,0.14924651,0.15465109,0.19031839,0.2419862,0.29721078,0.34759113,0.38835838,0.4175392,0.43612525,0.44741452,0.45533156,0.4627098,0.47085977,0.47958013,0.48834848,0.49730214,0.5092562,0.5277443,0.55461216,0.58713555,0.61890155,0.6418981,0.6483722,0.63546056,0.60751575,0.5760479,0.55156595,0.5378068,0.5308824,0.52539086,0.5195535,0.51775306,0.52636606,0.5490487,0.5799827,0.60706013,0.615593,0.59824485,0.55608374,0.50111145,0.44900915,0.41441467,0.40218326,0.40825045,0.42210785,0.43436113,0.4393599,0.43688813,0.42992258,0.42295417,0.41937265,0.42057323,0.42592356,0.43403053,0.44324175,0.4527333,0.46302113,0.47797942,0.5022094,0.5381914,0.58152837,0.6224027,0.64872617,0.6516557,0.6304822,0.5938661,0.55627936,0.52891463,0.51417714,0.50660366,0.5000324,0.49364784,0.49355975,0.50665,0.53263575,0.557307,0.5589888,0.5201059,0.44089285,0.33854318,0.23928343,0.16432025,0.123765014,0.11390471,0.12344649,0.13890024,0.15340781,0.166577,0.18230288,0.20110871,0.21946566,0.23233236,0.23804897,0.23921774,0.23973727,0.24258961,0.25038674,0.2687547,0.30605856,0.36626768,0.43996692,0.5042488,0.53453714,0.52043766,0.46938846,0.40118003,0.33464992,0.2826226,0.2482288,0.22897853,0.21958096,0.21808179,0.22858797,0.26086703,0.32178292,0.40520665,0.48702598,0.5361752,0.5315804,0.47550067,0.38921538,0.3007891,0.23114546,0.18914169,0.17096984,0.1658201,0.16182928,0.1538995,0.14404029,0.13802615,0.13863374,0.14459883,0.15321492,0.16323031,0.1753115,0.1899385,0.2072304,0.2284764,0.25850436,0.3052263,0.37158927,0.448903,0.5140729,0.5447139,0.5304043,0.48201454,0.41866437,0.35995388,0.3151131,0.28750587,0.27449355,0.27216533,0.27678844,0.28946674,0.317714,0.36801887,0.4366654,0.50244933,0.5400766,0.53310287,0.48791325,0.4231719,0.36246422,0.31908944,0.29801002,0.29171732,0.2895677,0.2797166,0.25964946,0.23319788,0.20934568,0.1932146,0.18562825,0.18394262,0.1861821,0.19216673,0.20230387,0.21665867,0.23631352,0.26563755,0.31169865,0.37627676,0.4482914,0.5045023,0.523241,0.4989531,0.44463682,0.3820313,0.3283746,0.2917383,0.2715042,0.26325217,0.26112393,0.2629329,0.27186444,0.2979543,0.34852433,0.41979876,0.49022126,0.53169394,0.52589357,0.47604272,0.40383172,0.33334076,0.28106514,0.24978586,0.23482566,0.2270274,0.21918656,0.2084431,0.19728823,0.18862124,0.18167375,0.17113875,0.15442717,0.13421641,0.11856847,0.1130696,0.11922071,0.13646413,0.16844214,0.22345953,0.30484673,0.40058517,0.4818845,0.5197055,0.5022315,0.44208083,0.36541727,0.2972792,0.25128627,0.22894005,0.22385013,0.2276478,0.23406722,0.2397541,0.24258061,0.23973097,0.22728205,0.20213407,0.16446202,0.11966836,0.07635251,0.042581443,0.02260994,0.017228292,0.025677146,0.0442194,0.06554613,0.07924222,0.079859175,0.06950984,0.05629382,0.045704763,0.03885365,0.035512377,0.038285945,0.048951525,0.06387174,0.07437364,0.07917687,0.09177516,0.13608243,0.22376502,0.33871308,0.44018355,0.48908576,0.470284,0.39801875,0.30058447,0.20493138,0.12705623,0.07274403,0.03974601,0.022166206,0.013535923,0.009266207,0.0068662204,0.005271359,0.004076056,0.0031377946,0.0024028127,0.0018359618,0.0013995288,0.0010642026,0.0008088543,0.0006174823,0.00047767826,0.0003752054,0.0002996931,0.00024224957,0.00019934123,0.00016766282,0.0001447145,0.00012706101,0.00011282173,0.00010119851,9.1708964E-05,8.375355E-05,7.650334E-05,7.0153E-05,6.441731E-05,5.9410337E-05,5.4471315E-05,4.9926777E-05,4.530959E-05,4.0225255E-05,3.34956E-05,2.5215444E-05,1.6399843E-05,8.927996E-06,3.8784324E-06,1.277581E-06,2.8375243E-07,3.3609926E-08,1.2278688E-10,0]