[0.00017100072,0.00037202713,0.0023707226,0.010320432,0.03091892,0.06852498,0.12014181,0.17283724,0.21134496,0.22625335,0.2199316,0.20163047,0.18150418,0.1648316,0.15238887,0.14191025,0.13127972,0.119712286,0.10831994,0.09858737,0.09173379,0.08806083,0.08749517,0.08912814,0.091383934,0.09219641,0.09038373,0.08602478,0.080327235,0.0743522,0.068647005,0.06311366,0.05761372,0.05211678,0.04685845,0.042230774,0.038624715,0.036907624,0.03878821,0.04734688,0.06442046,0.08860197,0.1135262,0.13232064,0.14093594,0.14077157,0.13535464,0.12800343,0.12038666,0.11379763,0.11027458,0.111755885,0.1187073,0.12815344,0.13589741,0.13932675,0.14087047,0.14529298,0.15569504,0.16965477,0.18171422,0.18747042,0.18646349,0.18110527,0.17416675,0.16775088,0.1629635,0.16081068,0.16200085,0.16700852,0.17492689,0.18340123,0.18946154,0.19153881,0.18995325,0.1861716,0.18113296,0.17520303,0.16833657,0.16079138,0.15282728,0.14485751,0.13726886,0.13044615,0.12458915,0.11981413,0.11634773,0.114201516,0.11282796,0.11090996,0.107850485,0.104723535,0.10481181,0.11075706,0.1225821,0.13615471,0.14638348,0.14963405,0.14603858,0.13761126,0.12694979,0.11609959,0.10750685,0.104473345,0.10956522,0.12238622,0.13791098,0.14999193,0.15551068,0.15790997,0.16348577,0.17647843,0.1945502,0.21156353,0.22173913,0.22380961,0.21978956,0.2128845,0.20533375,0.19857492,0.19377114,0.19180758,0.19300829,0.19621731,0.19945318,0.20049714,0.1987621,0.19519944,0.19213784,0.19129436,0.19295472,0.19526632,0.19574241,0.19259691,0.18603337,0.1774413,0.16848974,0.15998864,0.15218683,0.1448974,0.13805379,0.13153027,0.1253948,0.119905226,0.115739085,0.11367179,0.11396581,0.11584526,0.1175864,0.11760884,0.11528615,0.11122856,0.1062715,0.10110572,0.096469946,0.09420439,0.09676036,0.10526657,0.11749363,0.12851933,0.13425118,0.1348734,0.13511848,0.14094143,0.15478481,0.17357253,0.19041687,0.19982605,0.20092355,0.197088,0.1921112,0.18770188,0.1834947,0.1787981,0.17352802,0.16827327,0.16363597,0.16000408,0.15735751,0.15569365,0.1549707,0.15508108,0.15533324,0.15488423,0.15304784,0.14986058,0.14560838,0.14070506,0.13544135,0.13022189,0.1253237,0.12080025,0.116330646,0.11158568,0.1064048,0.101162136,0.096726984,0.09455567,0.095831536,0.10050773,0.10645131,0.11056629,0.110613786,0.10663855,0.100292824,0.09337906,0.08688271,0.08103016,0.075814135,0.07110914,0.06679144,0.06261111,0.058792025,0.056920066,0.061091512,0.07655239,0.10582551,0.14425951,0.18092553,0.20471519,0.21160054,0.20545174,0.19366671,0.1813247,0.17002374,0.15927412,0.14883831,0.1389368,0.12986015,0.12169206,0.114429064,0.108563386,0.104925185,0.10462763,0.10785098,0.11336682,0.118428074,0.12057521,0.1187877,0.11414022,0.1083223,0.102847725,0.09812048,0.09418281,0.090735614,0.08780446,0.085302226,0.08332067,0.08225458,0.083662786,0.09027741,0.104079254,0.12403437,0.14498329,0.16101931,0.16863704,0.16874325,0.16408311,0.15728688,0.14973032,0.1426921,0.13797809,0.13730448,0.14099616,0.14681077,0.15132189,0.15198009,0.14981498,0.14839736,0.15193993,0.16118558,0.17352356,0.18381816,0.18881635,0.18799943,0.18355574,0.17759372,0.17126922,0.16523641,0.16056986,0.15870994,0.15997075,0.16297199,0.16520403,0.1648492,0.1615595,0.1563024,0.15020613,0.14412765,0.13833524,0.13293613,0.12786637,0.123317726,0.119437896,0.11650997,0.11461007,0.11405173,0.1148962,0.116826706,0.118591346,0.11910198,0.118504345,0.119038545,0.12337321,0.13251702,0.14423579,0.15455358,0.15992941,0.15928854,0.1535567,0.1448765,0.13565917,0.12867591,0.12657374,0.13048178,0.13870029,0.14687057,0.15104778,0.15061255,0.14927427,0.15242936,0.16325752,0.18037562,0.19827789,0.21100025,0.2152858,0.21196376,0.20413388,0.19480664,0.1859469,0.17871554,0.17424788,0.17287165,0.17358382,0.17407745,0.17257977,0.16922404,0.16605915,0.16540867,0.16834392,0.17396446,0.17991012,0.1832871,0.1822815,0.17686887,0.16896452,0.1608699,0.15419847,0.14912866,0.14504379,0.14133047,0.13780473,0.13480404,0.13261223,0.13159001,0.13177872,0.13321234,0.13529909,0.13721895,0.13797192,0.13727914,0.13528597,0.13240686,0.12874424,0.12499037,0.122840516,0.12526274,0.1339215,0.1475768,0.16102141,0.16871242,0.16759723,0.15951069,0.14918095,0.14199227,0.14122176,0.14672966,0.15515171,0.16192818,0.1644255,0.16303469,0.15993065,0.15670782,0.15349364,0.14989446,0.1457246,0.14123334,0.13639824,0.1314153,0.12705483,0.1250901,0.12680344,0.131958,0.13798945,0.14204435,0.142155,0.1388315,0.13339639,0.1277035,0.12234291,0.11780653,0.11371001,0.1103474,0.107506454,0.10557687,0.10418912,0.103632115,0.10421276,0.10730354,0.11340996,0.121636294,0.12887381,0.13222255,0.13057679,0.12554055,0.119517796,0.114300035,0.1102221,0.10713639,0.10504702,0.10460481,0.10634252,0.11222544,0.12706919,0.16048868,0.21893628,0.298383,0.37886718,0.43763483,0.46165276,0.4556391,0.43299976,0.40598202,0.38072538,0.3592045,0.34268317,0.33106673,0.322421,0.31230742,0.2978105,0.28052524,0.26851323,0.27071172,0.29086113,0.3224397,0.3538566,0.37572145,0.38744012,0.39451,0.4032457,0.41519442,0.427323,0.43406484,0.4321324,0.42174348,0.40716362,0.39231303,0.37953445,0.3681562,0.35726258,0.34604844,0.33465126,0.323375,0.31276843,0.3037255,0.2979071,0.29898408,0.31160524,0.33840844,0.37450692,0.4075811,0.42416158,0.41930237,0.39994934,0.37878168,0.3664849,0.36671948,0.37869188,0.3968362,0.4131402,0.41773483,0.40622225,0.38115242,0.35124794,0.32388756,0.30254468,0.28586355,0.2713442,0.25691506,0.24328482,0.2323715,0.22656846,0.22653009,0.23264532,0.24415775,0.25881287,0.27105212,0.27521,0.26894352,0.25530386,0.23970985,0.22662038,0.2180293,0.21398717,0.21344905,0.21504843,0.21832208,0.2239722,0.23236573,0.24157773,0.24765944,0.24761331,0.24188764,0.23379944,0.22653317,0.22104073,0.21656907,0.21229728,0.20826729,0.20483379,0.20206554,0.19959408,0.1971311,0.19484217,0.19330259,0.19289406,0.19336261,0.19469886,0.20032221,0.21845336,0.25835407,0.31831372,0.38071522,0.41798142,0.4142411,0.3743844,0.32101542,0.27562097,0.2516685,0.25311634,0.2791281,0.32090735,0.3623633,0.38459888,0.3781465,0.34686768,0.30583826,0.27095622,0.25476858,0.2636379,0.29802218,0.3493863,0.40083626,0.43146315,0.42757943,0.38935244,0.3329481,0.27990878,0.24878691,0.24608381,0.26799658,0.3022752,0.33583224,0.35978016,0.3726962,0.3773938,0.37551284,0.36613047,0.34834185,0.32545307,0.30315593,0.28607115,0.27453592,0.26630566,0.25902602,0.25124234,0.24199265,0.23037058,0.21670818,0.20309089,0.19382028,0.19482075,0.2127235,0.24957776,0.29794505,0.34017786,0.35909262,0.34934595,0.3207213,0.28922817,0.26592898,0.25318924,0.2471651,0.24344124,0.23935698,0.23471935,0.23014344,0.2259494,0.22171366,0.21684982,0.21126264,0.20555376,0.20056784,0.1968957,0.19446288,0.19297242,0.19225673,0.1925679,0.1940565,0.196591,0.19969366,0.2030242,0.20620406,0.20867707,0.20981336,0.20953946,0.20937002,0.21216011,0.22166304,0.23977697,0.26499847,0.29139233,0.31212518,0.32265905,0.32285282,0.31451297,0.29960844,0.27990448,0.25867835,0.24030137,0.2279739,0.22141652,0.2178707,0.21717153,0.2254398,0.25400946,0.30633807,0.37104964,0.42184177,0.4400748,0.4247227,0.39448977,0.36617264,0.34583232,0.32738087,0.305256,0.28016135,0.25841495,0.24630626,0.24749957,0.26429638,0.2973832,0.34315977,0.39012262,0.42362323,0.43259725,0.41731378,0.38606048,0.3502325,0.31644502,0.28661272,0.25966933,0.23668498,0.22184885,0.22188826,0.2412302,0.27849486,0.3237476,0.36330485,0.38583875,0.38930276,0.37906727,0.36341253,0.34731224,0.33196536,0.3165023,0.3005704,0.2847372,0.27037117,0.2599546,0.25629926,0.2598863,0.26566574,0.26567602,0.25492936,0.23777473,0.2254436,0.23070939,0.25900567,0.30512372,0.35355744,0.38751805,0.39927283,0.3947369,0.38818288,0.3912468,0.40585724,0.4232638,0.429153,0.4122813,0.3712299,0.31675157,0.26399502,0.22439216,0.20040448,0.18988854,0.19104706,0.20372045,0.2264797,0.25449336,0.28278604,0.30873334,0.33161712,0.34857306,0.3548086,0.34832546,0.33359265,0.31961954,0.31399468,0.3196932,0.33472955,0.35320112,0.3661894,0.36381134,0.34080204,0.29991284,0.25332788,0.21488206,0.19385254,0.18934245,0.19483173,0.2025931,0.20835255,0.21051796,0.20935059,0.205851,0.20158668,0.19847728,0.20042624,0.21450865,0.25005797,0.308812,0.37899244,0.43611625,0.46191815,0.45489177,0.43119133,0.40727112,0.39102542,0.38013172,0.3700342,0.3570933,0.3399638,0.31828737,0.29383537,0.26987216,0.25083968,0.24032027,0.24022202,0.24974084,0.26476017,0.27928722,0.2880644,0.2899344,0.28711298,0.2828362,0.27868995,0.27447027,0.26940668,0.26252568,0.25380984,0.24402817,0.23546137,0.22991222,0.22834475,0.2300878,0.23443617,0.24009214,0.24571843,0.24937612,0.2504278,0.24928616,0.24740185,0.24543153,0.24358732,0.24173473,0.24043983,0.2402453,0.24160773,0.24339126,0.24370778,0.24196686,0.24291755,0.25625065,0.28721824,0.32849297,0.35948357,0.36388293,0.34051833,0.30503866,0.27357516,0.25392613,0.24398084,0.23903047,0.23575313,0.23293306,0.23048131,0.22857279,0.22740348,0.2270016,0.2271442,0.22753066,0.22764377,0.2270965,0.22572275,0.22396065,0.22256549,0.22217596,0.22275732,0.22380728,0.22471778,0.22530383,0.22554421,0.2255258,0.22531773,0.22510445,0.22517501,0.22563536,0.22658168,0.22786655,0.22943099,0.2308081,0.23178048,0.23214294,0.23241703,0.23300219,0.23444848,0.2369395,0.240732,0.24540102,0.24966149,0.25141975,0.24954371,0.24625075,0.24851942,0.26693964,0.30808383,0.36791995,0.42851034,0.47005615,0.48236594,0.47241497,0.45392027,0.4371281,0.4222902,0.40642634,0.38849834,0.37244472,0.36120877,0.35587832,0.3549812,0.35977662,0.37151277,0.38985848,0.40907788,0.42201376,0.4231683,0.41298947,0.39614764,0.3794266,0.36695114,0.36090973,0.36167267,0.3690367,0.37831345,0.38215438,0.37572935,0.363495,0.3544854,0.3528767,0.35339728,0.3492994,0.3417064,0.33963993,0.35121343,0.37639996,0.40817538,0.43794772,0.45947564,0.46923813,0.46714386,0.4576933,0.44904616,0.44589517,0.44461215,0.43430737,0.4097371,0.37726137,0.35521117,0.35681263,0.38254645,0.41600838,0.4410608,0.4503229,0.44982243,0.44669238,0.4429834,0.43430972,0.41549003,0.38499102,0.3461398,0.3068576,0.27552715,0.2572313,0.25201532,0.25767615,0.27385652,0.30074084,0.3363128,0.37196553,0.39737758,0.4053078,0.3978324,0.3830289,0.36973962,0.36151052,0.3564892,0.3509694,0.34307846,0.3338298,0.32593966,0.32267123,0.32718655,0.3409005,0.36132538,0.38160288,0.39450863,0.398139,0.3981177,0.40227666,0.4136844,0.42774856,0.4375906,0.43928456,0.4337115,0.42300603,0.4082898,0.38949087,0.3675857,0.34772024,0.33971176,0.35411012,0.39060915,0.433912,0.45920452,0.45283535,0.41972756,0.38019451,0.35064474,0.33681497,0.33245412,0.3285184,0.31757173,0.29840502,0.27540886,0.25593153,0.24598868,0.2483928,0.2630057,0.28665295,0.31316698,0.33570942,0.35157052,0.36381066,0.37789604,0.39555144,0.41371396,0.42720202,0.4325581,0.42782208,0.41201165,0.3861256,0.35601273,0.33129787,0.3199201,0.32060787,0.3234836,0.31690407,0.29789698,0.2725252,0.2502301,0.23546976,0.22719598,0.22283173,0.22222269,0.22864924,0.24567783,0.27449563,0.31118914,0.34867468,0.3802123,0.40237045,0.4160302,0.42456993,0.4317963,0.43702963,0.4342784,0.41699293,0.3870931,0.35628474,0.33810067,0.3365552,0.3449138,0.35150072,0.34912774,0.3365046,0.31658015,0.2921309,0.2656567,0.24072635,0.22370386,0.22338118,0.24733615,0.29692066,0.36303166,0.4277699,0.47182938,0.48271015,0.46008196,0.4140986,0.3616681,0.3175787,0.28934506,0.27371657,0.2627542,0.24945772,0.23366858,0.22017856,0.21622747,0.22621477,0.2503045,0.2843462,0.32331797,0.36238346,0.39504626,0.41080344,0.3992,0.35829923,0.29988918,0.24333328,0.20516682,0.19197781,0.20171167,0.22728236,0.2616485,0.3013605,0.34913003,0.40530172,0.46202388,0.4992888,0.50193346,0.4675398,0.4118948,0.35305998,0.30427542,0.26748335,0.24008419,0.2178903,0.19975121,0.1853475,0.1753289,0.16895707,0.16640101,0.16791928,0.17458928,0.18579805,0.1992851,0.21152432,0.2203384,0.2253537,0.22755365,0.2270085,0.2236677,0.21775824,0.21159218,0.20761181,0.20769797,0.2111506,0.21597286,0.2196728,0.222073,0.2254995,0.23363297,0.24715586,0.26228106,0.27225113,0.27297902,0.26502502,0.2529041,0.24041647,0.23174703,0.23261364,0.25340292,0.29821894,0.3576932,0.40422276,0.41402456,0.38284826,0.3343313,0.2973533,0.28723788,0.29604265,0.3054308,0.3019502,0.28503075,0.2633576,0.2457603,0.23606509,0.23263304,0.23169254,0.2300009,0.22617368,0.22054327,0.21419387,0.208305,0.20372944,0.20094538,0.19975112,0.19936831,0.19872451,0.19705534,0.1940767,0.19006819,0.18560036,0.18128796,0.17755567,0.17461884,0.17268187,0.17184468,0.17193432,0.17233114,0.17235965,0.17228377,0.17377676,0.17968015,0.19150567,0.20777802,0.22356023,0.2339056,0.23667687,0.23352464,0.22733074,0.2201454,0.21286994,0.20639776,0.20177871,0.19954139,0.19884263,0.19819503,0.19869566,0.20688097,0.2350616,0.28964067,0.3618703,0.42397007,0.44989645,0.43122903,0.38466,0.33375362,0.2948926,0.2707043,0.2575345,0.25159973,0.25095537,0.25393727,0.25739494,0.2579399,0.25388855,0.24740368,0.24328198,0.24560885,0.25429645,0.2646378,0.2706907,0.2690773,0.26071796,0.24897534,0.23725452,0.22727764,0.21943462,0.21317823,0.20805055,0.20367615,0.20021968,0.19787247,0.19717242,0.19861676,0.20283581,0.20933382,0.21648256,0.22147144,0.2225514,0.21964367,0.21463025,0.20943564,0.20544644,0.20368348,0.20608258,0.21490286,0.23039417,0.24848671,0.2625375,0.2686459,0.27022088,0.2761481,0.292473,0.3152872,0.33163145,0.3295926,0.30725574,0.2736191,0.24078566,0.216483,0.20182884,0.19416647,0.19022499,0.18779059,0.18565069,0.1835198,0.18181013,0.18205227,0.1867219,0.19798525,0.2151619,0.23333316,0.2455992,0.24776508,0.24123073,0.23139894,0.22332971,0.21926308,0.2188788,0.22108096,0.22467808,0.22794448,0.22876956,0.225336,0.21816671,0.21029937,0.20664005,0.2104473,0.22117703,0.23398496,0.2431661,0.24570453,0.24241811,0.23632498,0.22981517,0.22421105,0.22002153,0.21852593,0.22187072,0.23213464,0.24934202,0.27154192,0.29772094,0.33108783,0.37436602,0.4234071,0.4630371,0.47936916,0.46975616,0.44719794,0.42691302,0.41752505,0.41760075,0.42268816,0.42836455,0.4319552,0.43164685,0.4290171,0.42845786,0.43484786,0.4477589,0.46150187,0.46905378,0.468567,0.4635826,0.4590939,0.4566609,0.45468596,0.45128074,0.44683015,0.44302893,0.44061992,0.43845823,0.43336228,0.42241013,0.40309122,0.37684235,0.348214,0.32621145,0.31854555,0.32937476,0.3544744,0.3850541,0.41086504,0.42719582,0.433532,0.43255544,0.42542255,0.41379228,0.3991971,0.38402894,0.36868712,0.35293284,0.33773565,0.32866678,0.33430314,0.3610308,0.40466532,0.4492418,0.47450972,0.47031012,0.44271433,0.40834376,0.3817736,0.36813378,0.36509046,0.36800048,0.37339306,0.37899807,0.38323116,0.38638902,0.39002848,0.39649782,0.4052571,0.41284034,0.41345987,0.4025999,0.37954295,0.34778428,0.31462908,0.28720757,0.2716039,0.2702618,0.2848989,0.3146142,0.35619453,0.4013811,0.44074252,0.46751916,0.48127642,0.486204,0.48686948,0.4851544,0.4795991,0.46854505,0.45236918,0.43440762,0.41850564,0.40703782,0.40028974,0.39717177,0.39662924,0.39791974,0.40161833,0.40820232,0.41731086,0.42688915,0.4361473,0.44809544,0.46794423,0.4955028,0.51995605,0.5243959,0.4996445,0.45227435,0.39986888,0.35712624,0.327981,0.30876848,0.2950599,0.28550744,0.27920723,0.27469638,0.26978317,0.26422548,0.26063702,0.26472417,0.28326645,0.31912756,0.36767837,0.41694131,0.45553148,0.4783639,0.4884155,0.49095118,0.49053153,0.48922667,0.48876873,0.48976657,0.49292168,0.49769267,0.50386256,0.50960016,0.5130928,0.510964,0.50108343,0.48222294,0.45688465,0.4290044,0.40230283,0.37708595,0.35212195,0.32729355,0.30635726,0.29450023,0.29557335,0.3068088,0.32001474,0.32351232,0.31334922,0.29689494,0.29370514,0.31864455,0.37146333,0.43119112,0.47361147,0.4851357,0.4707284,0.4426286,0.41113567,0.38052925,0.35386267,0.33546758,0.3309616,0.34370676,0.37364998,0.4145913,0.45772898,0.49280056,0.5153215,0.5241658,0.5228202,0.51343614,0.49958077,0.4837112,0.46849367,0.45370054,0.4383243,0.42235407,0.40837577,0.39938626,0.39592418,0.39602008,0.39698064,0.39707136,0.39458796,0.388337,0.37918308,0.37145934,0.36942104,0.3733784,0.37878683,0.38078,0.3767515,0.3666556,0.35094416,0.3320662,0.31478116,0.30572167,0.3089596,0.3244921,0.34794882,0.37559414,0.4062176,0.4423921,0.4819088,0.51585144,0.52808124,0.5108432,0.46819314,0.4171561,0.37088403,0.33523968,0.30681804,0.2835509,0.2650149,0.2528095,0.24662475,0.24613953,0.2516699,0.26320013,0.27896854,0.295934,0.3139534,0.33545077,0.3632994,0.39531532,0.4252971,0.4457933,0.45345196,0.44987985,0.43981493,0.4272661,0.41208124,0.39263785,0.3707073,0.3572313,0.36527106,0.39973453,0.4484237,0.49099898,0.51165897,0.50939816,0.4929924,0.47370508,0.45789614,0.44762662,0.4414635,0.43809673,0.43627504,0.4355285,0.43398917,0.42928115,0.41833177,0.400473,0.3787422,0.3624672,0.36214605,0.3825531,0.41546848,0.44508305,0.45855466,0.4546866,0.44056848,0.42314026,0.40402302,0.3825523,0.36022782,0.34315026,0.33787063,0.34888887,0.37490463,0.4102329,0.4450656,0.46994105,0.47882596,0.47183695,0.45348033,0.4300116,0.40721866,0.39043954,0.38306233,0.3850968,0.3916483,0.39666596,0.39610502,0.39070225,0.3831283,0.37657693,0.37374747,0.37798512,0.39167348,0.4127642,0.43356356,0.4435874,0.43721172,0.41680023,0.39218855,0.3734245,0.36698174,0.37295067,0.38782808,0.40631953,0.42437577,0.43938795,0.4491662,0.45006406,0.43959102,0.42151558,0.4101832,0.41917157,0.45007947,0.48376513,0.50046664,0.49337533,0.47735694,0.467989,0.47009155,0.47320184,0.46604553,0.4449325,0.41543218,0.38505065,0.35804328,0.33500132,0.31698158,0.30791792,0.31423768,0.3386121,0.37656865,0.41443256,0.4376652,0.4366779,0.41345394,0.37834033,0.34784535,0.33742404,0.35492572,0.39366534,0.43482068,0.4592259,0.45941105,0.4422253,0.42041025,0.4050171,0.4019384,0.4125794,0.43273222,0.4536252,0.46646765,0.4677986,0.4602342,0.4478939,0.4326738,0.41554883,0.3992039,0.38945684,0.38923046,0.39703235,0.4068823,0.41684356,0.4288467,0.44571888,0.46305773,0.47125515,0.46162736,0.434333,0.3973178,0.36106145,0.33203176,0.3116585,0.29829586,0.28977716,0.2843403,0.28021666,0.27606955,0.2710786,0.26563898,0.26086244,0.25854424,0.25983235,0.26431948,0.26926076,0.27123514,0.26846766,0.2623268,0.25593063,0.25181097,0.25038695,0.25074983,0.25136098,0.2508054,0.2477926,0.24212117,0.23527317,0.22976309,0.22792365,0.23000693,0.23446095,0.2382636,0.2393397,0.2374038,0.23435867,0.23234242,0.23245586,0.23433088,0.23687243,0.23892872,0.23952197,0.23866303,0.23752159,0.23890524,0.24728565,0.26985466,0.31438062,0.38174066,0.45908776,0.52209973,0.551554,0.5455091,0.51975906,0.49156356,0.4701892,0.45492637,0.4431719,0.4331354,0.42491522,0.41937456,0.41839072,0.42377737,0.43467948,0.44700408,0.45520332,0.45529386,0.44550478,0.42527628,0.39530823,0.3584148,0.32025036,0.28724942,0.2648592,0.25599733,0.26265824,0.28508446,0.32201323,0.36716747,0.4123106,0.44843236,0.47229394,0.48414207,0.48759508,0.48403224,0.4740659,0.4577645,0.43745315,0.4165626,0.39765275,0.38183072,0.37052628,0.36881074,0.38332978,0.41641036,0.4584256,0.4903016,0.4936936,0.46656147,0.42543066,0.3974043,0.39890042,0.42669806,0.45852825,0.47402,0.4662012,0.44561708,0.425354,0.41274095,0.4060184,0.40143397,0.39641044,0.39060232,0.382771,0.37125537,0.35472432,0.33639422,0.322502,0.319661,0.32839867,0.34242177,0.35105205,0.34579703,0.32479355,0.29375198,0.2626743,0.24154057,0.23770314,0.2551045,0.29321668,0.34513032,0.39642206,0.42875886,0.42825437,0.3946508,0.34396708,0.29949197,0.27831888,0.28146833,0.2979668,0.3142216,0.32344833,0.3258474,0.3260217,0.32917175,0.33957055,0.3583213,0.38235882,0.40607068,0.42522728,0.43950698,0.4521726,0.4680089,0.49028865,0.516753,0.53768873,0.5409698,0.52154714,0.48693052,0.45140752,0.42551363,0.40949786,0.39704382,0.38213506,0.36406758,0.34534696,0.3282604,0.31256008,0.29814267,0.28731224,0.2853856,0.29685608,0.3222107,0.35477433,0.38274893,0.39378497,0.38390234,0.36118498,0.3423601,0.3410569,0.35912743,0.38627514,0.40894064,0.4188477,0.41628566,0.40651706,0.3951082,0.38532698,0.37810436,0.3734233,0.37021628,0.36806455,0.3665019,0.36730215,0.37082306,0.37747845,0.38393316,0.3885801,0.38954118,0.38866365,0.38689283,0.38593435,0.38647816,0.39069548,0.4009141,0.4182969,0.438488,0.4520779,0.44696978,0.41828856,0.370793,0.3186125,0.27433476,0.24467665,0.22846009,0.2218555,0.22091742,0.22296977,0.22610128,0.22925752,0.23333009,0.24201258,0.26085642,0.29390708,0.33930168,0.38765636,0.4246304,0.43758097,0.4227794,0.38816872,0.34947833,0.32116768,0.31041846,0.3174262,0.33952156,0.37243506,0.4079099,0.43311366,0.43663108,0.41610846,0.3829083,0.3549086,0.34784412,0.3637303,0.39340937,0.4201412,0.4340651,0.4337006,0.42800117,0.4239558,0.42439887,0.42439294,0.41891038,0.40386942,0.379065,0.3468572,0.3160067,0.30132762,0.31912348,0.37267756,0.44566202,0.5076952,0.536696,0.53067833,0.5054292,0.47725236,0.4548789,0.43950716,0.4299567,0.42379174,0.41725147,0.40671408,0.38974825,0.3665152,0.3402597,0.3190328,0.31227228,0.32457444,0.35005605,0.3756477,0.38953197,0.38696313,0.37032518,0.34460676,0.3171523,0.29639122,0.29247355,0.31023207,0.34617713,0.3867798,0.41846195,0.43412545,0.4374851,0.4358579,0.43573824,0.43758965,0.43819055,0.4315494,0.41447806,0.3882618,0.3592122,0.3344631,0.32025847,0.3222915,0.34610304,0.39219734,0.4511291,0.50375175,0.53281903,0.53303057,0.51517755,0.49582505,0.4865829,0.48676315,0.4878795,0.4816364,0.46577775,0.44276825,0.41547444,0.3857925,0.357155,0.33583584,0.32779446,0.33403698,0.35044804,0.37242517,0.397229,0.42269424,0.44338965,0.45320073,0.44920048,0.43536547,0.41943952,0.4079692,0.4027431,0.40043435,0.39748275,0.39240173,0.3882583,0.38701597,0.38747188,0.38307872,0.3682264,0.34284076,0.314743,0.29605952,0.29612362,0.31740883,0.35281882,0.39024857,0.4168644,0.42596802,0.4182892,0.4001278,0.37855205,0.35793677,0.3399154,0.3239864,0.30874106,0.29244447,0.27447662,0.25895128,0.25511298,0.27605796,0.3245162,0.38721213,0.43402752,0.44346285,0.4140809,0.36772648,0.32583034,0.30055892,0.2923294,0.30114105,0.3257321,0.36175194,0.39801094,0.42311454,0.4310192,0.42472458,0.41259685,0.40361008,0.40342698,0.41216192,0.42534754,0.4365921,0.44219944,0.44291124,0.44205078,0.442175,0.44267535,0.4413922,0.43643275,0.42907998,0.42170545,0.4153224,0.40554753,0.38718352,0.3600342,0.33340934,0.3188694,0.32087567,0.3329228,0.34349886,0.3445907,0.33445624,0.31619924,0.2945157,0.27506813,0.2635243,0.2647525,0.28055897,0.30899826,0.34525624,0.38484547,0.4254506,0.46498156,0.49771738,0.51394385,0.5063658,0.4777169,0.4404937,0.40923536,0.3910986,0.38546816,0.38660792,0.38865617,0.38567927,0.37451252,0.35476243,0.32950655,0.3021746,0.27621707,0.25510928,0.24286206,0.24287915,0.25542745,0.27711117,0.30084038,0.3195493,0.32763663,0.32303104,0.3064977,0.28283024,0.2595901,0.24369842,0.23692085,0.23535551,0.23391832,0.23050873,0.2268803,0.22644074,0.23327173,0.2506316,0.2783773,0.31053874,0.33717787,0.35037613,0.34758735,0.33259654,0.31252635,0.29765448,0.2966528,0.31336257,0.3432248,0.37803963,0.41191038,0.44473577,0.480397,0.51883787,0.55335003,0.5701036,0.5608055,0.5275378,0.48437735,0.4439542,0.41273424,0.38962552,0.373821,0.36452094,0.3609165,0.35994628,0.36010048,0.360817,0.36096027,0.35652122,0.34493265,0.32966983,0.319501,0.32116345,0.33351693,0.3485986,0.357617,0.35552874,0.34255037,0.32278803,0.3028889,0.2888336,0.2834343,0.28441623,0.28625673,0.2838572,0.27575898,0.2652308,0.25763306,0.25793588,0.26825297,0.28857663,0.31766215,0.35277596,0.3879911,0.4126747,0.41660568,0.3991286,0.3762,0.37257037,0.40024248,0.4442407,0.4701006,0.45487022,0.40413988,0.34756508,0.30973342,0.29658446,0.29571912,0.29467162,0.28814045,0.27923617,0.27083436,0.26322785,0.25420177,0.24363898,0.23364143,0.22722387,0.22502477,0.22557943,0.22662635,0.22680807,0.22612333,0.22521889,0.22524528,0.22667511,0.22936894,0.23219503,0.23400283,0.23395698,0.23213498,0.22988684,0.22980708,0.2349148,0.24580283,0.25915763,0.2685059,0.26905563,0.26148948,0.25168017,0.24706884,0.25141165,0.26366422,0.27837995,0.2905881,0.29875663,0.3057421,0.3146633,0.32506317,0.3330185,0.33563253,0.33466306,0.3354046,0.341579,0.35255507,0.3654026,0.38083863,0.40503475,0.44298947,0.48909917,0.5253374,0.5344876,0.5135786,0.47656742,0.4412136,0.41762045,0.40559927,0.40058792,0.39850602,0.39694938,0.3950217,0.3925875,0.39054802,0.38943434,0.38957492,0.390152,0.39091957,0.39187717,0.3944939,0.3992134,0.40552863,0.4102688,0.4109441,0.40629527,0.39885688,0.39209083,0.3891771,0.3895129,0.38969484,0.3854164,0.3753681,0.36287966,0.35440853,0.3570818,0.3737174,0.40148667,0.4308488,0.45265377,0.46219683,0.46269462,0.45950937,0.4562942,0.45215368,0.44445872,0.43174314,0.41564536,0.39942697,0.38522574,0.37332502,0.3658123,0.3694011,0.39105782,0.42877224,0.4671006,0.4870751,0.47954723,0.45217595,0.42080173,0.39866376,0.38920727,0.38882676,0.3911699,0.39330998,0.3958255,0.40215337,0.41157898,0.41935277,0.41747737,0.4031078,0.38023257,0.35863432,0.34633955,0.3449647,0.34988728,0.35497546,0.35707173,0.35654727,0.3552971,0.35487708,0.35552976,0.35654536,0.35656348,0.3550206,0.35251674,0.3505254,0.35025558,0.35278618,0.3590913,0.36913893,0.38010085,0.3874731,0.38833532,0.38387665,0.3774384,0.37071684,0.3631384,0.3540676,0.34660485,0.3448989,0.35127226,0.36197174,0.37355748,0.38675618,0.40857163,0.43984106,0.47085974,0.48353434,0.46999052,0.43674695,0.40113238,0.37442005,0.3587774,0.34959313,0.34343776,0.33930603,0.3369305,0.3352851,0.33309266,0.3302663,0.3279209,0.32706738,0.32767963,0.3291435,0.33085534,0.33277574,0.33427122,0.33455482,0.33258072,0.3282418,0.3217621,0.3138908,0.3054135,0.29786313,0.29248846,0.29000553,0.2894918,0.29046488,0.2942479,0.30602613,0.3305614,0.36802816,0.4090687,0.44102755,0.45475757,0.45201644,0.44074106,0.42890844,0.41908082,0.40978885,0.3994378,0.38750067,0.37515834,0.36218897,0.34898806,0.3369168,0.33227786,0.341373,0.36497557,0.39223528,0.40771616,0.40232304,0.38063142,0.35549155,0.33771446,0.33072618,0.331968,0.33794913,0.34612128,0.35551772,0.3655561,0.3759705,0.38620988,0.3954666,0.40291664,0.40797862,0.4107438,0.41109827,0.40894678,0.4037296,0.39528957,0.38353172,0.3685845,0.35090092,0.33187577,0.31432894,0.30149934,0.29529336,0.29467335,0.29669115,0.29895815,0.3018938,0.30734146,0.31573406,0.32379594,0.32683566,0.32206276,0.3112202,0.2986069,0.2883557,0.28170517,0.2775725,0.27411786,0.27148733,0.27231166,0.28079832,0.29883796,0.32572767,0.3583583,0.39603356,0.43579605,0.47155496,0.4898453,0.4829761,0.4528706,0.41542006,0.38557804,0.3720454,0.3717815,0.3776822,0.38186064,0.38004613,0.3705921,0.35416517,0.33310786,0.31112102,0.2923143,0.27916858,0.27203676,0.26971576,0.271078,0.27523756,0.2806845,0.28498182,0.28551635,0.28137946,0.27335513,0.26385355,0.25605023,0.2538366,0.2598602,0.2733481,0.2898747,0.3046983,0.31759945,0.3331068,0.3564886,0.3872455,0.41904056,0.4438908,0.4582975,0.46359143,0.4630048,0.45870677,0.4514818,0.4415786,0.429131,0.41413224,0.39769116,0.3823729,0.37343815,0.37627134,0.39368197,0.42039862,0.44421017,0.4519126,0.4401408,0.41737485,0.39807177,0.39126274,0.39632037,0.40547177,0.4101911,0.40678787,0.39665988,0.3854425,0.37694255,0.37295723,0.37202692,0.37439176,0.38058177,0.39129868,0.40393412,0.41438973,0.4193282,0.41845843,0.41393527,0.40790662,0.40216044,0.39785048,0.39641365,0.3981581,0.4022865,0.40715918,0.41111627,0.41246983,0.40907514,0.40015915,0.38691664,0.37303224,0.36101332,0.35189894,0.34467205,0.33923876,0.33542326,0.33274284,0.3295081,0.32508814,0.32201588,0.32504094,0.33720794,0.35573244,0.3751837,0.39334396,0.4159597,0.44781458,0.48553774,0.51321375,0.518452,0.5000052,0.47200707,0.44821084,0.43531108,0.4298083,0.42587388,0.42040718,0.41400814,0.4092023,0.4067444,0.405627,0.4037416,0.40018687,0.39568472,0.39156035,0.38838315,0.38508537,0.37964237,0.37034366,0.35745418,0.34378067,0.33365098,0.3300641,0.332963,0.3394173,0.3467865,0.3536825,0.35996404,0.36390653,0.36381933,0.35972753,0.3562002,0.35834798,0.36767069,0.37938356,0.3873737,0.38874468,0.38552848,0.38074467,0.37622395,0.3728243,0.37214997,0.37631834,0.38499033,0.3947264,0.39983115,0.397681,0.3906313,0.3857955,0.38951042,0.40316358,0.4222065,0.43972054,0.4509369,0.45488274,0.45284927,0.44640926,0.4370837,0.4276731,0.42181587,0.42235848,0.42892587,0.4383509,0.44647762,0.45094812,0.45196,0.45118096,0.44979158,0.44696832,0.44136536,0.43223563,0.42107812,0.4095501,0.398765,0.388038,0.37682664,0.36561158,0.35678944,0.35272217,0.3535665,0.35602626,0.35570672,0.35074794,0.34363458,0.3381742,0.3359281,0.33463916,0.33207515,0.32806274,0.32500616,0.32374176,0.322595,0.31778947,0.30769634,0.2945608,0.28415143,0.28131816,0.28705728,0.2993565,0.31816462,0.34802055,0.39193615,0.44255626,0.47961858,0.4840965,0.4529458,0.40303174,0.35575542,0.32244408,0.3000344,0.2798765,0.25584638,0.2276104,0.19800681,0.17050122,0.14718866,0.12967573,0.11934653,0.117787965,0.12440944,0.13684769,0.15180874,0.16847162,0.18690224,0.20582545,0.22035281,0.22476496,0.21663964,0.1990381,0.18033119,0.16951616,0.1720127,0.18415928,0.19623633,0.19769049,0.18600482,0.16756819,0.15364397,0.15188982,0.16049162,0.17042919,0.17253427,0.16598606,0.15742657,0.15464856,0.15891398,0.16457383,0.16494064,0.15819158,0.14824986,0.13981171,0.1341918,0.12989593,0.12676434,0.12765379,0.13530438,0.1481061,0.16060714,0.16761935,0.168016,0.16339414,0.15538208,0.14451946,0.13277285,0.12533723,0.12794809,0.14136507,0.15729366,0.16339272,0.15195782,0.12792039,0.10485042,0.095671214,0.10270903,0.118306376,0.13158296,0.13657646,0.13377875,0.12647922,0.11649426,0.103760295,0.08962923,0.07937426,0.08091879,0.10051563,0.13888146,0.19033968,0.24437235,0.28983507,0.32032076,0.33544263,0.3380886,0.3279554,0.30523548,0.2733425,0.24244593,0.21987908,0.20708615,0.20030265,0.19858266,0.20633358,0.2270704,0.25857866,0.28810656,0.3027458,0.29418945,0.26840678,0.23766793,0.21526052,0.20437253,0.20030147,0.19554615,0.18709986,0.1767965,0.16724534,0.15984643,0.15570648,0.15844402,0.17164789,0.19477455,0.2198865,0.23629616,0.23665799,0.22197127,0.19960755,0.1793956,0.16837488,0.16793382,0.17367439,0.17838521,0.17607367,0.16383374,0.14236788,0.11594813,0.09257135,0.08162116,0.08868597,0.11111152,0.13834958,0.15853547,0.16524564,0.1605167,0.15134251,0.14476289,0.1436833,0.14658846,0.14918786,0.14751196,0.13997485,0.1280709,0.11647966,0.11236873,0.12402687,0.15478705,0.19877328,0.23975424,0.26274577,0.26374045,0.25530073,0.25275698,0.26185822,0.2713206,0.26686203,0.24337728,0.2102983,0.18018329,0.15949224,0.14681841,0.13937098,0.1380583,0.14609112,0.16380559,0.18523328,0.20096155,0.20501356,0.19806643,0.18543585,0.17180972,0.15963925,0.14959627,0.14177705,0.13580985,0.1310122,0.12701997,0.12351411,0.12279251,0.13139363,0.1617402,0.21932626,0.2937353,0.3543764,0.37654266,0.35904455,0.33065975,0.3192153,0.33096346,0.34457433,0.33746073,0.3037902,0.25895488,0.22175336,0.20156026,0.19598371,0.2021451,0.22445977,0.27161708,0.3407167,0.4088041,0.44305846,0.4304745,0.3921101,0.36902842,0.38400185,0.425316,0.45945957,0.46604577,0.44882813,0.42780635,0.41601142,0.41481385,0.41653195,0.41482273,0.40681875,0.3942047,0.38063315,0.37017623,0.36503968,0.36552644,0.370414,0.37825993,0.38739502,0.39620802,0.40301862,0.40709695,0.40885946,0.41016176,0.4129064,0.4185959,0.42705345,0.4370488,0.4459997,0.45166162,0.45204696,0.44694993,0.43755043,0.42764387,0.42169392,0.42260936,0.42846763,0.43344057,0.431754,0.42200944,0.40791535,0.3954779,0.38927558,0.39112663,0.40022454,0.41476282,0.43107447,0.44359192,0.4451611,0.4324988,0.41044763,0.39337775,0.39514735,0.41889462,0.4508357,0.4723599,0.47299227,0.45828655,0.440015,0.42661324,0.41858575,0.4135886,0.41015768,0.40902022,0.41072917,0.41460988,0.41809186,0.4185262,0.41454515,0.40703607,0.39884868,0.39274383,0.3904254,0.3905033,0.3907943,0.38896295,0.38497376,0.37953165,0.37386647,0.36901167,0.36576143,0.3646159,0.3647605,0.36512473,0.36464533,0.36402658,0.36512983,0.37027857,0.38002172,0.39227566,0.40314242,0.409127,0.40860906,0.4016473,0.38923386,0.37374592,0.35871398,0.34819102,0.34355262,0.34343973,0.34392282,0.34174833,0.33726093,0.33633074,0.35111237,0.38714322,0.43792307,0.47873238,0.49159837,0.47321597,0.44295523,0.41807678,0.40742445,0.40565276,0.40607572,0.40315405,0.3968643,0.38907683,0.38350645,0.38086548,0.38035014,0.37923384,0.37703574,0.37513566,0.3766409,0.38349926,0.39449242,0.40562797,0.41290835,0.41506776,0.413478,0.40970182,0.40435734,0.39711642,0.3881221,0.37818098,0.36892518,0.36225867,0.3598962,0.3626717,0.3699236,0.37924194,0.38707402,0.39043245,0.38980535,0.3901954,0.39952755,0.42066106,0.44700554,0.46351096,0.46021572,0.43989158,0.41672656,0.40278664,0.40044582,0.40597978,0.41673675,0.43441758,0.45660627,0.47503957,0.4775015,0.46115458,0.43351126,0.40866396,0.39436075,0.39041588,0.39112315,0.39238355,0.39269543,0.39221552,0.3910391,0.38898793,0.38613868,0.38286313,0.37998763,0.37832153,0.37789583,0.3777744,0.3762299,0.37276813,0.3681756,0.36489734,0.36416546,0.36594787,0.36832356,0.37011945,0.37090483,0.37111887,0.37045574,0.3682579,0.3644338,0.36049822,0.3587947,0.36066458,0.36505452,0.36930728,0.3710456,0.3699658,0.36738756,0.36517343,0.36416364,0.36425754,0.36441335,0.36408162,0.3630422,0.3623002,0.36141858,0.36077204,0.36123848,0.3702302,0.3931552,0.43008935,0.4657049,0.48444197,0.47794762,0.4552307,0.4282622,0.40452346,0.38205507,0.35817254,0.33458796,0.3179805,0.31386146,0.3220962,0.336046,0.34821784,0.35413685,0.35449263,0.35182676,0.34894004,0.3472842,0.3474946,0.34903303,0.35054278,0.35034963,0.34733164,0.34174263,0.3350017,0.32902166,0.32451978,0.32070777,0.31596163,0.31027836,0.306878,0.3115468,0.32822084,0.3544403,0.3805188,0.3955269,0.39384744,0.3781543,0.35576543,0.3339696,0.31718636,0.306842,0.30306193,0.3055482,0.31317133,0.32256767,0.32854354,0.32979298,0.33202875,0.34625527,0.37581912,0.4108642,0.4322317,0.42936563,0.40755817,0.3833252,0.36866388,0.3648237,0.3652213,0.36407593,0.36002672,0.35540095,0.3526037,0.35227907,0.35292783,0.35298237,0.3522946,0.3525716,0.35591182,0.36252975,0.37054667,0.3766344,0.37870228,0.37603202,0.36987674,0.3619386,0.35461894,0.3494979,0.34752712,0.3481857,0.35035098,0.3523803,0.35326743,0.3535799,0.35532704,0.35991347,0.36579928,0.3689828,0.36708185,0.36179963,0.3584417,0.36038518,0.36740705,0.37533495,0.38054594,0.38064823,0.37576237,0.3668827,0.35586467,0.34579575,0.34178868,0.3522757,0.38225183,0.42761636,0.47022787,0.49134877,0.48394504,0.4591479,0.43276712,0.4125042,0.39554617,0.37778655,0.3623847,0.3565663,0.36468458,0.38228104,0.4010385,0.41419563,0.42073688,0.42214218,0.42015672,0.41551647,0.40949717,0.40366662,0.39933762,0.39655808,0.3949474,0.3942357,0.39517632,0.39861703,0.40497097,0.41313598,0.42113987,0.42694739,0.4296981,0.42986515,0.42844486,0.42601642,0.42238346,0.41721353,0.41061774,0.403103,0.39586675,0.39228117,0.39807668,0.41892493,0.45133862,0.48178396,0.49108294,0.47300777,0.4365561,0.40098813,0.37868837,0.37377265,0.38652357,0.4139094,0.44662312,0.46569487,0.4593052,0.4297085,0.39533326,0.37163618,0.364495,0.3688103,0.37806377,0.38763607,0.3958262,0.4019768,0.4051597,0.404086,0.39772952,0.3872901,0.37580875,0.366788,0.36134186,0.3580705,0.3545638,0.35002422,0.34602675,0.34562662,0.35090324,0.36108875,0.3719391,0.37811172,0.37641132,0.36787865,0.3563819,0.3457265,0.33804217,0.3344415,0.3359779,0.34290144,0.3530949,0.3621304,0.36588728,0.3633763,0.35695708,0.34968042,0.34271225,0.33529946,0.32702693,0.31919542,0.31416544,0.31308898,0.31560132,0.3202878,0.326152,0.3317099,0.33528355,0.33517638,0.33179808,0.3273321,0.32462928,0.324761,0.32696223,0.32965764,0.3321271,0.33417502,0.33530214,0.33436465,0.33124244,0.32767823,0.3264662,0.32857618,0.33257416,0.33612218,0.3388094,0.34167364,0.34515265,0.34710154,0.34456024,0.33643866,0.32527554,0.3152264,0.30913147,0.30635366,0.3039739,0.29890513,0.2899299,0.27754876,0.26356384,0.25000644,0.23860328,0.23007344,0.22431272,0.22088404,0.21933943,0.21899356,0.21893936,0.21855865,0.2180872,0.21801704,0.2181772,0.21725406,0.2135597,0.20611759,0.19606028,0.18793203,0.1898707,0.20976776,0.24942295,0.30094707,0.35091874,0.38850442,0.4105767,0.4205307,0.42282054,0.42105365,0.41732505,0.41429797,0.41333857,0.41485262,0.41778675,0.42234567,0.42888105,0.4362799,0.4393485,0.43206272,0.41200963,0.383199,0.35142407,0.31909785,0.28392282,0.24408253,0.20244122,0.16551214,0.13953085,0.1276126,0.13195378,0.1529914,0.18914409,0.2330529,0.27627656,0.31181613,0.33824173,0.35541773,0.36259016,0.35746253,0.33972904,0.31315494,0.28386262,0.2568594,0.23400533,0.21663786,0.20827866,0.2134912,0.23214118,0.25513357,0.26686975,0.25502837,0.21942623,0.17526565,0.14456148,0.1453719,0.17984356,0.23534556,0.290503,0.3297074,0.34750763,0.3489287,0.34073475,0.32834843,0.31397274,0.2983081,0.28130051,0.26310664,0.24668698,0.23657785,0.23717912,0.24760519,0.2630289,0.27622262,0.28144133,0.27412447,0.25296977,0.22113973,0.18720572,0.16143042,0.15319575,0.1688885,0.21048768,0.27076113,0.33124673,0.36770988,0.3636929,0.3205515,0.25778595,0.20095809,0.17128609,0.1767407,0.21366656,0.2669514,0.31828436,0.3505759,0.3563448,0.3393019,0.31394625,0.29759416,0.29984954,0.31765863,0.33938816,0.355621,0.36384082,0.36732283,0.37008488,0.374976,0.3821764,0.38949382,0.39260685,0.3876375,0.37216458,0.34620747,0.31192786,0.27421305,0.23906563,0.21086945,0.18946499,0.17128927,0.1529647,0.13502203,0.12213111,0.120676495,0.13583757,0.1676751,0.20920825,0.2458996,0.26259923,0.2514762,0.21867114,0.18145221,0.16010402,0.16705197,0.20100455,0.2475342,0.2875804,0.30723596,0.30386686,0.28467226,0.26018864,0.2388221,0.22383212,0.21505213,0.21017851,0.20794444,0.20869942,0.21530797,0.22951873,0.25051284,0.2726071,0.2887387,0.291758,0.27929464,0.25408086,0.22420128,0.19664043,0.17370476,0.1529299,0.13358381,0.11931182,0.115185864,0.1211915,0.13157357,0.13934201,0.14168872,0.14015521,0.13786362,0.13677835,0.13733028,0.1390102,0.14063491,0.14062984,0.13791282,0.13410535,0.13498212,0.1484651,0.1791765,0.22234546,0.26449707,0.28925064,0.28765532,0.26165402,0.22324775,0.18693323,0.16550529,0.16786039,0.19775634,0.25075224,0.310213,0.35243753,0.35811052,0.32505378,0.26978078,0.21728683,0.18954593,0.19556193,0.23158519,0.281765,0.32908145,0.36206508,0.38153735,0.39242527,0.39783433,0.3934375,0.3742454,0.33774355,0.28766057,0.23079948,0.1771696,0.13766117,0.1229428,0.13996738,0.18768676,0.25530145,0.3235869,0.3750724,0.40138355,0.4072589,0.40283015,0.396775,0.39148065,0.38546744,0.37644076,0.363482,0.34614316,0.32414725,0.29867437,0.27613238,0.2670282,0.28015336,0.31327617,0.35248253,0.37948456,0.38289094,0.36278427,0.3271756,0.28614753,0.24806954,0.2214153,0.21494824,0.23400009,0.27400494,0.320011,0.35597754,0.37419894,0.37757242,0.3726585,0.36393103,0.35192403,0.33531544,0.31239206,0.28336576,0.25054643,0.21928686,0.19593036,0.18832989,0.2026489,0.24020271,0.29308948,0.34687576,0.38829395,0.41219473,0.42206612,0.42459926,0.426,0.42940608,0.43553078,0.4411466,0.44262767,0.437225,0.42600402,0.40946445,0.38747683,0.35954008,0.32944843,0.30418077,0.29081225,0.29351977,0.31282845,0.34528336,0.38106188,0.40691617,0.41269112,0.39901224,0.375832,0.3548542,0.3419567,0.33589828,0.3324968,0.32896852,0.3250384,0.32105815,0.3151591,0.30395854,0.28394893,0.2549564,0.22038232,0.18791874,0.1672283,0.16676867,0.18881924,0.22603495,0.2636159,0.2859378,0.28538123,0.26486012,0.2342274,0.2027259,0.17478156,0.15063131,0.12951289,0.11194733,0.09943246,0.09324863,0.09418664,0.10370874,0.12482307,0.15942432,0.20404093,0.24768896,0.2771105,0.28488657,0.27444223,0.25754425,0.2480634,0.25678822,0.28712794,0.33308622,0.38001633,0.41253483,0.42321888,0.41654882,0.40413103,0.39674917,0.399333,0.40966937,0.4212897,0.42739034,0.42576957,0.41964248,0.41477847,0.41429147,0.4161661,0.4149361,0.4064958,0.39220545,0.37816706,0.36949527,0.36519277,0.36116362,0.35739002,0.3620149,0.38046476,0.40803745,0.427277,0.42649296,0.4051049,0.37584308,0.34833667,0.3272439,0.31074226,0.29783645,0.2883762,0.28399697,0.286528,0.29727188,0.31570265,0.34081492,0.37250116,0.41050813,0.4497306,0.47884378,0.48707244,0.4737692,0.45092106,0.43382943,0.43082896,0.4391919,0.45099628,0.4580964,0.45529845,0.4387879,0.4069605,0.36113742,0.30763093,0.25757346,0.22547995,0.22395982,0.25696167,0.3149245,0.37797454,0.42496076,0.44160393,0.42344543,0.37408367,0.304808,0.23197792,0.17261177,0.13606906,0.12096706,0.11894501,0.12292707,0.13191296,0.14974542,0.1804571,0.22476947,0.27777937,0.3309053,0.37453118,0.40281722,0.41302717,0.4041632,0.3761972,0.33519804,0.29540172,0.27371737,0.2770294,0.29702735,0.31663063,0.32576922,0.32938477,0.34469375,0.38359258,0.441388,0.49529657,0.525024,0.525846,0.51134425,0.49590054,0.48513067,0.4755424,0.46398982,0.45179638,0.44299683,0.43916392,0.43763864,0.43340787,0.42436996,0.41327095,0.40617144,0.4078779,0.41930887,0.43795833,0.45860693,0.47607994,0.4860083,0.48822793,0.48490012,0.48013273,0.47560513,0.47130382,0.46478868,0.45511886,0.44321987,0.43312526,0.42844775,0.43137932,0.44121513,0.45534587,0.46898797,0.47638425,0.47323003,0.45887932,0.43764976,0.41730785,0.40801635,0.41529012,0.43563482,0.4537519,0.4551698,0.43541646,0.4055524,0.38139865,0.3768688,0.39761433,0.44074988,0.49270335,0.5348959,0.55429536,0.5515929,0.5372932,0.5207042,0.50365436,0.48312464,0.45638442,0.42409265,0.3897469,0.36039594,0.34322116,0.3426955,0.35652432,0.37869772,0.4027848,0.42449,0.4411864,0.45119998,0.4557035,0.45674896,0.45678553,0.45482945,0.45005104,0.44110742,0.42889783,0.41216913,0.3903556,0.36266956,0.3339404,0.31107688,0.3033098,0.31437054,0.3426676,0.3778453,0.40690324,0.4180086,0.40821669,0.38286722,0.3533931,0.33150277,0.32625008,0.34010446,0.36724308,0.39544502,0.4131832,0.41667676,0.412258,0.41343394,0.43410262,0.4784344,0.534821,0.5789466,0.5911815,0.5693896,0.5296928,0.49129546,0.4647106,0.44995335,0.4417143,0.43546534,0.42805782,0.41966417,0.4115547,0.406387,0.40513614,0.4077278,0.41255602,0.41773,0.42119515,0.42124507,0.41800776,0.41374788,0.41239598,0.41622344,0.42469302,0.4347777,0.44415522,0.4521124,0.45904863,0.4643314,0.46638027,0.46432987,0.4594657,0.45429316,0.4495143,0.44310704,0.4325174,0.41811267,0.403363,0.39121795,0.38233384,0.37649965,0.37715366,0.3881813,0.4097205,0.43212345,0.4439651,0.43751195,0.41646013,0.39048505,0.3733177,0.37629345,0.40241393,0.44121394,0.47086334,0.47495052,0.45244083,0.4190248,0.3908354,0.37579378,0.37184832,0.37407422,0.37835595,0.38195434,0.3829526,0.38073167,0.37724134,0.37719682,0.3856077,0.4034321,0.4255189,0.44277215,0.44894528,0.44371554,0.43245944,0.4211521,0.41340086,0.40945053,0.40686402,0.40344253,0.39837012,0.39438567,0.3948184,0.4021906,0.4156507,0.43265507,0.44984272,0.46399775,0.47249123,0.4740155,0.47038248,0.46522424,0.46177116,0.45951626,0.45441815,0.44200718,0.42009914,0.39107814,0.35970807,0.33252993,0.3136218,0.30513954,0.30775392,0.3252029,0.3620963,0.4167278,0.47579002,0.51886684,0.53399163,0.5232334,0.50038093,0.4763354,0.45656085,0.4404124,0.42793688,0.41888154,0.4129915,0.4082358,0.4025769,0.3952814,0.3883104,0.38525924,0.38972333,0.40239096,0.42090642,0.43942514,0.45147625,0.4506848,0.4344803,0.40477145,0.36994448,0.34148753,0.33055893,0.34115347,0.3683884,0.40007305,0.42506635,0.4388577,0.44455096,0.44758788,0.45083416,0.45359495,0.45332655,0.44809678,0.43717754,0.420769,0.39976335,0.3752,0.35058954,0.33267817,0.33215758,0.35435987,0.3935943,0.4310894,0.45273674,0.4586525,0.4658747,0.48645553,0.5180109,0.5424504,0.54554933,0.52571917,0.49408242,0.4626348,0.43749908,0.4193542,0.40761212,0.40302917,0.4059024,0.41420293,0.4222531,0.42389348,0.4153765,0.39872718,0.37949124,0.3643352,0.35791063,0.3621998,0.37620017,0.3950921,0.4128631,0.42453793,0.4301227,0.43199396,0.43300292,0.43297648,0.4309621,0.4263619,0.42026603,0.4132292,0.4046358,0.3945886,0.38684905,0.38825956,0.40247977,0.42494294,0.44460356,0.45219037,0.4468461,0.43490425,0.42475966,0.4210805,0.42390272,0.4281176,0.4273628,0.41689488,0.3984804,0.38078037,0.37685928,0.39786994,0.44058457,0.48687533,0.50859565,0.49392095,0.45062426,0.40381655,0.37019578,0.35486314,0.35167313,0.3548212,0.35987696,0.36397052,0.36523142,0.36384216,0.3623904,0.36464956,0.37317193,0.3869494,0.40017593,0.4050735,0.39735702,0.37990585,0.3609177,0.3481114,0.3453627,0.35374594,0.37264732,0.39948,0.42721245,0.44770893,0.455139,0.45037505,0.43810436,0.4245129,0.41322538,0.4055539,0.40025857,0.39623472,0.39389744,0.3956085,0.40343377,0.4170849,0.43418232,0.45160127,0.46696246,0.47823787,0.4840053,0.483035,0.47513807,0.4623101,0.45035505,0.44792688,0.4593388,0.4786711,0.4898248,0.4791701,0.44552362,0.40132752,0.36197582,0.33630046,0.32496223,0.32369936,0.32817957,0.3342242,0.33890164,0.34020248,0.33918783,0.3405483,0.3499893,0.37028322,0.39701355,0.4224948,0.4390814,0.44393432,0.43590954,0.41644284,0.38879633,0.36060396,0.33977017,0.3323169,0.33927217,0.35776356,0.3803825,0.39684495,0.39891815,0.386345,0.36949584,0.36248526,0.3742969,0.40202773,0.4343493,0.45919862,0.47171238,0.47451648,0.47383663,0.472759,0.47014546,0.46180055,0.44542226,0.4216328,0.39358982,0.3646097,0.33983836,0.32746923,0.33993137,0.38162306,0.44393325,0.50040776,0.5293007,0.5221209,0.49242577,0.4573982,0.4307491,0.41560295,0.4099823,0.40984917,0.4114553,0.41229895,0.40949395,0.4013342,0.38807762,0.37612274,0.37405172,0.38873374,0.4169161,0.44818366,0.46820354,0.46843562,0.448078,0.41544887,0.38283035,0.36143413,0.35791194,0.37217736,0.39928448,0.42906603,0.4525505,0.46466136,0.4682498,0.4681817,0.46796796,0.4659849,0.45912373,0.44456685,0.4232553,0.39848486,0.3761625,0.36141372,0.3584911,0.3683381,0.388929,0.41500258,0.44055918,0.46174458,0.4775249,0.49031973,0.5035176,0.5208674,0.5403226,0.5547049,0.5540008,0.53652406,0.5085873,0.4802773,0.45494464,0.43076694,0.4056562,0.38263515,0.36734965,0.3632898,0.37056267,0.38704348,0.4102734,0.4357065,0.45736733,0.47009268,0.47303125,0.46922395,0.4626048,0.45548642,0.44781157,0.43832323,0.42601445,0.41219878,0.4005258,0.39466122,0.39406565,0.3933513,0.3851335,0.3661035,0.33907485,0.31248638,0.2955033,0.2952156,0.3127277,0.34253684,0.37271377,0.39053538,0.38861,0.36852732,0.33858833,0.3081353,0.2837185,0.26759806,0.25910628,0.25593078,0.25573966,0.2594076,0.27211973,0.3034529,0.35558227,0.41761944,0.46370053,0.4745883,0.44902715,0.40738466,0.37131646,0.35336843,0.35320553,0.36628246,0.3864341,0.40741894,0.4227836,0.42933652,0.42868015,0.4263518,0.42781726,0.4351635,0.44654718,0.4578842,0.46596226,0.46934077,0.46929547,0.46729589,0.46468723,0.45989463,0.4512224,0.4373835,0.42123064,0.40730456,0.39988175,0.39767385,0.39445785,0.38290155,0.36333263,0.3448417,0.3395172,0.35070035,0.37070307,0.38663626,0.39053425,0.38295618,0.3703871,0.3608507,0.35811397,0.36118317,0.3644373,0.36629912,0.3690503,0.37865877,0.3966807,0.42282152,0.45572987,0.49315616,0.5283271,0.5500648,0.55205274,0.53664136,0.51491654,0.49607483,0.48384714,0.47472927,0.4638344,0.44793847,0.42819047,0.40760687,0.38869038,0.37186015,0.35723814,0.3465391,0.34276047,0.34814548,0.36158755,0.37856686,0.39264393,0.3986032,0.39426854,0.38167286,0.36568105,0.3524473,0.3457534,0.34625924,0.35108194,0.35723677,0.3619585,0.36465427,0.36559793,0.36771736,0.37379494,0.38505235,0.39743873,0.40434673,0.4005814,0.38819408,0.3758731,0.3739293,0.38658395,0.40900064,0.43058264,0.44171488,0.43909276,0.4260249,0.41054884,0.4021646,0.4096578,0.4353695,0.4702884,0.49432454,0.48884252,0.45103717,0.3964385,0.34613308,0.31122407,0.29083383,0.27960312,0.27636698,0.28323695,0.30101648,0.3245056,0.34365848,0.34893623,0.33832407,0.31936583,0.30447897,0.30195192,0.31179324,0.3273002,0.3418734,0.3518926,0.3568889,0.35630915,0.34957388,0.33724523,0.32295886,0.31180465,0.30764183,0.310249,0.31517258,0.3157691,0.30714974,0.28991258,0.2698671,0.25372216,0.24408346,0.23884486,0.23499568,0.23129787,0.22818857,0.22535889,0.22235203,0.22011141,0.22182679,0.22966535,0.24167593,0.2515551,0.2538531,0.24855845,0.24232274,0.24305229,0.25441036,0.27233544,0.2886629,0.29643625,0.29502675,0.2889864,0.28396192,0.28254327,0.28365266,0.28513432,0.2854741,0.28490618,0.28411818,0.28378788,0.2838714,0.28386262,0.28328374,0.28195825,0.28028345,0.27891147,0.27863204,0.27974918,0.28182152,0.28349704,0.2835773,0.28156686,0.2780104,0.2735931,0.26875988,0.26395085,0.25978974,0.25704488,0.25565246,0.25482944,0.25352207,0.25132528,0.24845022,0.24510854,0.24130775,0.23696215,0.23243447,0.22817905,0.22472769,0.22288917,0.22460437,0.23245335,0.24760342,0.26782286,0.2878367,0.30252972,0.30918813,0.30766696,0.29838157,0.28219968,0.2610894,0.23861833,0.2181742,0.20136668,0.18782109,0.1765409,0.16688478,0.15873633,0.15216668,0.14725113,0.14379513,0.14116819,0.13849777,0.13535412,0.13209735,0.12943013,0.12758243,0.12609777,0.124416165,0.12236599,0.1201319,0.11780759,0.11533029,0.11260143,0.110108696,0.10947759,0.11403487,0.12694633,0.14838041,0.17301281,0.19330744,0.20502599,0.21131116,0.21881108,0.23120011,0.24547713,0.2556553,0.25822228,0.25427973,0.24697821,0.23839612,0.22927536,0.22070475,0.21564215,0.2175709,0.22748862,0.24099247,0.2494158,0.24504375,0.22692806,0.20197983,0.1797209,0.16580327,0.15931037,0.15599075,0.15253638,0.14823437,0.14361066,0.13844413,0.13225226,0.12456483,0.116153486,0.10769496,0.10008132,0.09341999,0.08795599,0.08364657,0.08057398,0.07845362,0.07688173,0.07538924,0.07384117,0.072334915,0.07114491,0.070355594,0.06990156,0.06944003,0.068646304,0.06726205,0.06537849,0.0632777,0.061335955,0.06021006,0.061317336,0.06736241,0.08050036,0.10044689,0.122462064,0.14035241,0.14942779,0.14972477,0.14404182,0.13588427,0.12718347,0.11926889,0.113903075,0.113965034,0.120889984,0.1325441,0.14228317,0.14406948,0.13672723,0.12668118,0.1220027,0.12709145,0.13856126,0.14973404,0.15511905,0.1540609,0.14883767,0.14223625,0.1358632,0.13056362,0.12740503,0.12781273,0.13217957,0.13872765,0.14350569,0.14385755,0.14046706,0.1380138,0.14059556,0.14894603,0.15893053,0.16550174,0.16552138,0.1597706,0.15079872,0.14111231,0.13169272,0.12268508,0.11401144,0.10584578,0.098320924,0.091397725,0.08493534,0.07937596,0.076427855,0.07931242,0.090863675,0.11059154,0.13268818,0.1486178,0.1522842,0.1439029,0.1286389,0.11231756,0.0980795,0.0866569,0.07840485,0.074848115,0.07779082,0.08737225,0.1006924,0.11300543,0.120471,0.12229895,0.12055311,0.118071854,0.116531886,0.1158331,0.11502435,0.1134491,0.11132627,0.109250434,0.10758916,0.10624928,0.10504722,0.10392966,0.10291239,0.10185263,0.100498855,0.098659,0.09639149,0.094327606,0.09405156,0.0982383,0.109096825,0.12645034,0.14643212,0.16362135,0.17399347,0.17720938,0.17548573,0.17159157,0.16704987,0.16230442,0.15725583,0.15203644,0.14695472,0.14239068,0.13841511,0.13461794,0.13026345,0.124839984,0.11928073,0.11660266,0.12115311,0.1356741,0.15831532,0.18244542,0.20003033,0.20634349,0.20166035,0.18979613,0.1748736,0.16043591,0.14967532,0.14649232,0.15327905,0.16902435,0.18756454,0.20140451,0.20527196,0.1994781,0.18761827,0.17405026,0.16153805,0.1520404,0.14771037,0.15049276,0.16019656,0.17291945,0.18276902,0.18540843,0.18066542,0.17148586,0.16106729,0.15086006,0.14095865,0.13115059,0.12182204,0.11344827,0.10646502,0.10064173,0.09562001,0.0908884,0.08640622,0.08229736,0.07886173,0.07609926,0.073850304,0.071844794,0.069988795,0.06826192,0.06664088,0.064971596,0.06311282,0.06103629,0.05892921,0.05704547,0.055578005,0.054484483,0.053605694,0.052768577,0.051957697,0.05118135,0.050399393,0.049463194,0.04825643,0.04677969,0.04514742,0.04353546,0.042109504,0.040988047,0.0401607,0.039488044,0.038749103,0.03780933,0.036673922,0.03551573,0.034501273,0.03375342,0.03324152,0.032886017,0.032524917,0.032047916,0.03139123,0.030654194,0.030004524,0.02962973,0.029584438,0.029818239,0.030177506,0.030509228,0.030631876,0.030443264,0.029883029,0.029061256,0.028094597,0.027179757,0.026417041,0.025949107,0.025779733,0.025858486,0.02596668,0.025918944,0.025567794,0.024919493,0.02404254,0.023085365,0.022191929,0.021490216,0.021032177,0.020797344,0.020706967,0.020650862,0.020544251,0.020327643,0.019994786,0.0195301,0.018940218,0.018228434,0.017448714,0.016674029,0.015996682,0.0154913245,0.015185208,0.015064832,0.0150694465,0.015169679,0.01534414,0.0156107275,0.015940621,0.016292008,0.016587375,0.01678623,0.016874708,0.016908081,0.016971314,0.017178774,0.017578991,0.018150197,0.018768128,0.019313265,0.01968725,0.01987614,0.01989572,0.019806938,0.019669933,0.01954045,0.01943808,0.0193516,0.019275658,0.019212006,0.019186316,0.019186862,0.019205423,0.019206086,0.019196706,0.01915426,0.019078128,0.018926265,0.01871513,0.018451184,0.018189138,0.017933188,0.017706467,0.017494896,0.017310807,0.017124772,0.01691747,0.01665853,0.016375555,0.016102694,0.015884489,0.015716458,0.0156024,0.01552942,0.015498501,0.015451041,0.01532603,0.01504917,0.014616369,0.014037988,0.013375123,0.012688082,0.01207235,0.011585006,0.011239341,0.010962777,0.010662836,0.010261276,0.009757116,0.009201728,0.008673415,0.008216872,0.007834955,0.007484576,0.0071026045,0.0066254227,0.0060238144,0.0053158086,0.0045627984,0.003841159,0.0032249896,0.0027637538,0.0024738365,0.002329687,0.0022837408,0.0022843613,0.0022957223,0.002298943,0.0022954752,0.0023033174,0.0023508265,0.0024539884,0.002603907,0.0027641617,0.0028950365,0.0029660824,0.0029667404,0.00290242,0.0027957559,0.0026787806,0.0025792907,0.002511786,0.0024766831,0.0024696907,0.002481911,0.002502065,0.0025165656,0.0025191552,0.0025114743,0.0025002772,0.0024884136,0.0024744917,0.0024575433,0.0024414312,0.0024325082,0.0024305342,0.002426138,0.002404472,0.0023570666,0.0022855338,0.0022024876,0.002122782,0.0020577044,0.0020054136,0.0019535897,0.0018855366,0.0017957586,0.0016938224,0.0016051746,0.0015553565,0.0015592909,0.0016070082,0.0016720259,0.0017217362,0.0017374107,0.0017171475,0.0016749456,0.0016291168,0.0015945374,0.0015770559,0.0015741667,0.0015790869,0.0015851579,0.0015899115,0.0015937322,0.001597329,0.0015979448,0.0015930954,0.0015824103,0.0015679714,0.0015491135,0.0015234373,0.0014903034,0.001453838,0.0014189389,0.0013884405,0.0013618832,0.001339563,0.0013206237,0.0013037389,0.0012839878,0.001257623,0.0012227196,0.0011816766,0.0011386276,0.0010989448,0.0010690168,0.0010538195,0.001054627,0.0010654493,0.0010775012,0.0010818121,0.0010734055,0.0010503578,0.0010144707,0.0009712344,0.0009275219,0.0008897895,0.00086096046,0.0008420194,0.0008316731,0.00082802743,0.0008271765,0.0008244407,0.0008152619,0.00079899933,0.0007791901,0.00076194014,0.0007505969,0.0007439864,0.000737491,0.00072761433,0.00071406295,0.00069993245,0.00068847294,0.00068182824,0.0006790822,0.0006784967,0.0006769446,0.00067239284,0.0006626783,0.00064790953,0.00062966504,0.0006118717,0.00059845386,0.00059260754]