[0.028375566,0.026717022,0.02349703,0.020310493,0.018186316,0.017209465,0.016775602,0.016233647,0.015104599,0.013230172,0.010873723,0.009433639,0.011823885,0.022397583,0.044028144,0.0755265,0.11010056,0.13958189,0.15871476,0.16807847,0.17123164,0.17168593,0.17104255,0.16998233,0.16902512,0.16866513,0.16913463,0.17046185,0.17265655,0.17545287,0.17794126,0.17818047,0.17320442,0.16007662,0.13783194,0.10938815,0.081274204,0.06115739,0.055206556,0.06568194,0.09020251,0.12097346,0.14817601,0.16451903,0.17037946,0.17272197,0.18032819,0.19726373,0.22109836,0.24487738,0.2621117,0.26918828,0.2663438,0.25603658,0.24277104,0.23143484,0.22616315,0.2278557,0.2343996,0.24179555,0.24648225,0.24619444,0.24051297,0.23179837,0.22526409,0.22712873,0.23989403,0.25993332,0.27877858,0.28792086,0.28159213,0.25734934,0.21635449,0.16486552,0.114198476,0.07601143,0.056331795,0.05338611,0.062150568,0.07989882,0.106503725,0.14013919,0.17400356,0.20046495,0.21670179,0.22698528,0.23727559,0.24994922,0.26231018,0.27024475,0.27168003,0.2675417,0.26021263,0.2511321,0.23932652,0.22103749,0.19246435,0.1531776,0.10887587,0.068859376,0.041288827,0.028874626,0.029559195,0.03989908,0.058512848,0.08530583,0.11870185,0.15276548,0.18002592,0.19505458,0.1973235,0.1881482,0.1689653,0.14130977,0.10956409,0.080751106,0.062469717,0.060654763,0.07758192,0.11051247,0.15056325,0.18715197,0.21333022,0.22978103,0.24116679,0.2513747,0.26071337,0.26741517,0.2693312,0.26397735,0.24896632,0.22355765,0.19117714,0.15843596,0.13184373,0.114525944,0.10683984,0.109251946,0.1229145,0.14722392,0.17660749,0.20229472,0.21735668,0.22029285,0.21385074,0.20035452,0.18105102,0.15759401,0.13563584,0.12228467,0.12208847,0.13254821,0.14626656,0.15629894,0.16115049,0.16402984,0.16823393,0.17357676,0.17742898,0.17841439,0.17805153,0.1792068,0.1831115,0.18895191,0.19493668,0.2003106,0.20533288,0.21062386,0.21582419,0.21953286,0.21988243,0.21571374,0.20731133,0.19671227,0.1872118,0.18142472,0.17957902,0.17881626,0.17573012,0.16819578,0.15612899,0.1397212,0.119090706,0.095126726,0.07051847,0.04929741,0.03514217,0.030447379,0.035343073,0.047526237,0.06199578,0.07350839,0.079226494,0.08099789,0.0837748,0.09195796,0.10608685,0.12214417,0.13509761,0.14191516,0.14355005,0.14234646,0.14021116,0.1371633,0.13287824,0.12753467,0.122373104,0.11827325,0.11466789,0.10876324,0.09755077,0.08043676,0.06179818,0.049514297,0.050849658,0.06719101,0.09264129,0.11695697,0.13198017,0.13547614,0.13169923,0.12643972,0.12381796,0.123515695,0.12385308,0.12340558,0.123607285,0.12637,0.1325867,0.14010091,0.14544605,0.14594567,0.14152293,0.13469553,0.12830283,0.12407765,0.120827526,0.11664158,0.10998214,0.10176595,0.09341139,0.08588455,0.078720056,0.07146539,0.06438508,0.058596805,0.055081904,0.05422147,0.055311903,0.05692904,0.057564378,0.05760688,0.06049641,0.07159438,0.09403571,0.12498949,0.15616481,0.17856532,0.18791252,0.18685828,0.18314113,0.18565421,0.19949637,0.22359921,0.2511429,0.27452227,0.28959355,0.29764056,0.3024343,0.306623,0.30938032,0.30720952,0.29634106,0.2751293,0.24559669,0.21248336,0.18113483,0.15483175,0.13547254,0.12536855,0.12873645,0.14827542,0.18118115,0.21771832,0.24668336,0.26189354,0.26497516,0.26178014,0.25710735,0.25251397,0.24751723,0.242727,0.24070066,0.24499138,0.25667295,0.2728485,0.2873585,0.294493,0.29116246,0.27766094,0.2561091,0.23007081,0.20329237,0.17982148,0.16295879,0.15663682,0.16454506,0.18927588,0.22750564,0.26962185,0.30167517,0.31350502,0.30248925,0.2744258,0.23849618,0.20349275,0.17560388,0.15850836,0.1547652,0.16420239,0.18348515,0.2037905,0.21613388,0.21472107,0.20227313,0.18581633,0.17314161,0.16813211,0.17221415,0.18478096,0.20275916,0.2190247,0.22565275,0.21933372,0.2047502,0.19072907,0.18437214,0.1877972,0.199822,0.21788694,0.23870003,0.25761217,0.2708846,0.2776387,0.280839,0.28367412,0.28731072,0.29030383,0.2913265,0.29028273,0.28817514,0.2856921,0.28237352,0.27638558,0.26497945,0.24704753,0.22560112,0.208992,0.20574178,0.2186929,0.24101102,0.2617022,0.27238142,0.27224353,0.26524878,0.25641072,0.24872452,0.24316968,0.2387001,0.23329185,0.22477223,0.2120539,0.19487274,0.17370732,0.14980866,0.12596396,0.10633666,0.095179625,0.09460304,0.10300391,0.115409106,0.12604116,0.1316231,0.13278967,0.13284817,0.13456114,0.13824157,0.14180748,0.14299953,0.14063872,0.13455902,0.12433213,0.10929812,0.0898482,0.06868408,0.050593775,0.040850613,0.04346621,0.05879843,0.082524985,0.106026866,0.1215531,0.12633747,0.12528193,0.1263351,0.13555907,0.15226266,0.17077221,0.1846158,0.19127826,0.19240822,0.1910504,0.18889499,0.18611817,0.18266194,0.17893279,0.17509449,0.1702245,0.16184574,0.1470403,0.12431409,0.09613785,0.068816826,0.049916435,0.043279994,0.047144577,0.05529073,0.061978385,0.06457307,0.06437383,0.06399453,0.06563136,0.06956419,0.074508846,0.07863662,0.081047,0.082566716,0.08466622,0.08804488,0.091498286,0.093298085,0.09290453,0.09270551,0.09724028,0.11045736,0.13246852,0.15825307,0.18092704,0.19565128,0.20243113,0.20392142,0.20313078,0.20153861,0.1998444,0.198334,0.19691701,0.19508488,0.19208042,0.18778141,0.18257213,0.17738146,0.17341484,0.17235625,0.17606713,0.18442254,0.19501711,0.20353001,0.20814855,0.20973428,0.21186753,0.21712868,0.22661626,0.23875386,0.2500085,0.25663772,0.2573771,0.2556566,0.256652,0.26333722,0.27207264,0.27535477,0.26766905,0.2516795,0.2380327,0.23733008,0.25285923,0.2772435,0.2996217,0.31216416,0.31466958,0.31159845,0.3081253,0.30687892,0.30706033,0.30548534,0.2978198,0.2808162,0.25358936,0.21868771,0.18101104,0.1471005,0.124372505,0.12111018,0.14271371,0.18652864,0.23945205,0.28478813,0.31270775,0.32436574,0.32556745,0.31795767,0.2993515,0.27017453,0.2382812,0.21390344,0.20326613,0.20656073,0.22096075,0.24280636,0.26552138,0.28055775,0.28038016,0.2641947,0.23751622,0.20855868,0.18339622,0.16442792,0.15169375,0.14464206,0.14348914,0.14859514,0.15969954,0.17518675,0.19336796,0.21306403,0.23257476,0.2473473,0.2506828,0.23867102,0.21451056,0.18735196,0.16652875,0.15722875,0.16118805,0.17748392,0.20292526,0.23028769,0.2523169,0.26422623,0.26652718,0.26096296,0.24988729,0.23479547,0.21843445,0.20256738,0.18793498,0.17345975,0.15897058,0.14509879,0.13336213,0.12435267,0.118158706,0.11420208,0.1117683,0.10982323,0.10810857,0.107992046,0.11244109,0.12332308,0.13936423,0.15575321,0.1679901,0.17445381,0.17765047,0.18142803,0.18901324,0.20118153,0.21655305,0.23217128,0.24584635,0.25728416,0.26873502,0.28180376,0.29621795,0.30827367,0.31424978,0.31225118,0.30516782,0.2988875,0.29892853,0.30577567,0.31384322,0.31515077,0.30417153,0.28139743,0.25242886,0.22571932,0.20768468,0.19948773,0.19647487,0.19357117,0.19154505,0.1969434,0.21570702,0.2446789,0.273109,0.28852102,0.2848318,0.26245418,0.22700854,0.18630569,0.14925665,0.12366387,0.11505058,0.12582,0.15451203,0.19451542,0.2350889,0.2660989,0.28330013,0.28899205,0.28790385,0.28254893,0.27314362,0.25975648,0.24399602,0.2271325,0.2080677,0.18347035,0.15130965,0.11414358,0.07936547,0.05533467,0.047091242,0.053684074,0.06928442,0.08591836,0.098077916,0.10577003,0.115728535,0.13663934,0.17245208,0.21673913,0.25621343,0.27957276,0.28546652,0.28141737,0.27661338,0.27574697,0.27825093,0.28157508,0.2840688,0.28601623,0.28839216,0.2913046,0.29310128,0.29179916,0.28661165,0.27883264,0.27026436,0.26208222,0.2543246,0.24704522,0.24069802,0.23584592,0.23213357,0.22831231,0.22294442,0.21533982,0.20555167,0.19436325,0.18297482,0.17301935,0.16530664,0.15956636,0.15426992,0.14859928,0.14279658,0.13801312,0.13374068,0.12717928,0.11444955,0.09468547,0.07210107,0.054689113,0.049486354,0.058261324,0.076593995,0.09623029,0.11027176,0.11600211,0.11546705,0.111437656,0.10591668,0.09981071,0.09631946,0.09976304,0.11318376,0.1338873,0.15518187,0.17015427,0.17614226,0.17427301,0.16802813,0.16263103,0.1654589,0.18291761,0.21496272,0.25255063,0.28326622,0.30000272,0.30486086,0.3051884,0.30676815,0.3107377,0.31384042,0.3119019,0.30317488,0.2918094,0.28584996,0.29171658,0.30824253,0.3273357,0.33881867,0.33615318,0.3199062,0.2982849,0.2826594,0.27953696,0.28560302,0.2923796,0.2940754,0.29147288,0.28748605,0.28348437,0.27875423,0.27300775,0.26722395,0.26344395,0.26378074,0.2695857,0.280349,0.29428294,0.30911636,0.32271135,0.33237794,0.33499613,0.3287389,0.3143752,0.29488906,0.27298674,0.24983329,0.22582237,0.20197399,0.18022726,0.16171242,0.14655174,0.13461758,0.12751257,0.12835465,0.13968508,0.16097845,0.18744187,0.21237586,0.23009495,0.23866177,0.23911913,0.23403253,0.22570722,0.2159432,0.2059968,0.1966538,0.1880653,0.17973985,0.17098176,0.16145672,0.15137877,0.14091694,0.12977551,0.11742657,0.10423687,0.09161667,0.08147303,0.07514007,0.07372006,0.07883161,0.09240798,0.11538607,0.14600967,0.18014264,0.21215154,0.23707469,0.25191116,0.25678203,0.2535236,0.24376316,0.22732534,0.20444657,0.17858945,0.15750802,0.14842929,0.15217184,0.16038507,0.16096462,0.14616604,0.11824175,0.08698023,0.06309349,0.052233726,0.054759998,0.06947243,0.09630702,0.1345921,0.178789,0.21872906,0.24471645,0.2541673,0.25137183,0.24296695,0.23235536,0.21970545,0.20421118,0.18671162,0.16932939,0.15407525,0.14134663,0.12994812,0.11832533,0.10618708,0.09502218,0.086778045,0.08219493,0.08008095,0.07883157,0.07772084,0.07785212,0.081114374,0.0901114,0.10617566,0.12828185,0.15054019,0.16514455,0.16632996,0.15582529,0.14159968,0.13331227,0.1359169,0.14754887,0.161991,0.17341506,0.17973298,0.18207526,0.18270098,0.18320565,0.18493746,0.18916409,0.1967352,0.20661359,0.21601014,0.22165658,0.22194052,0.21777315,0.2119091,0.20716375,0.20462762,0.20333402,0.20139353,0.1975612,0.19181097,0.18469332,0.1768217,0.16864765,0.16073729,0.15346195,0.14700477,0.14118953,0.13584854,0.13085817,0.12630619,0.122961886,0.12235748,0.12688299,0.13714094,0.15099709,0.16284865,0.16837682,0.16628878,0.15883963,0.14720659,0.13059665,0.10782375,0.08090728,0.05554849,0.03862813,0.03551723,0.047218863,0.0698741,0.09506836,0.11443063,0.12342396,0.12360695,0.120488174,0.11965328,0.12412194,0.13271035,0.14276333,0.15199357,0.16120617,0.17149608,0.18254776,0.19100063,0.19392477,0.19072156,0.18316416,0.17175955,0.15472724,0.13010813,0.099741854,0.06965868,0.047039744,0.036210787,0.036920372,0.045325015,0.056127917,0.06527495,0.07137039,0.07565329,0.08045888,0.08720059,0.09563757,0.10350019,0.10865458,0.11053125,0.11214014,0.11710447,0.12702553,0.13835041,0.146028,0.14646079,0.1402214,0.12887354,0.1134055,0.09390301,0.071909286,0.051212877,0.03691216,0.03425536,0.04656939,0.073478274,0.10881903,0.14278692,0.16663282,0.17744213,0.17848575,0.17562191,0.1737746,0.1747725,0.17845853,0.18380584,0.19089884,0.20036985,0.21191268,0.22280711,0.22844212,0.22559935,0.21377854,0.19628434,0.17746359,0.16195919,0.15212448,0.14845014,0.14938135,0.15308912,0.15782017,0.16233304,0.16574073,0.16780584,0.16877687,0.16906893,0.1688893,0.16819508,0.16686296,0.16458724,0.16145368,0.15847643,0.1583393,0.16431648,0.17753415,0.19529246,0.21113944,0.21961904,0.21786673,0.20706028,0.18865001,0.16494349,0.13827942,0.11287854,0.09360879,0.08663395,0.09737868,0.12835538,0.17441791,0.2244931,0.2651696,0.28864202,0.2935754,0.28622702,0.27561522,0.2708389,0.27506986,0.28574243,0.29683697,0.3047062,0.30885223,0.31076798,0.31092727,0.3093857,0.30616567,0.30235314,0.29757217,0.28956556,0.2745935,0.2525528,0.22871274,0.21213417,0.20906967,0.2196474,0.23860204,0.26012692,0.279722,0.29355633,0.2962455,0.28513777,0.26588604,0.2538208,0.26186988,0.28746834,0.31107637,0.31290117,0.29057345,0.26181313,0.2486074,0.2601012,0.28751326,0.31477714,0.33088365,0.33574638,0.33584002,0.33744073,0.34238005,0.34787536,0.34987178,0.345896,0.33721018,0.32754663,0.32076016,0.3180224,0.31674978,0.31227538,0.30148122,0.28602684,0.27169237,0.26393762,0.26334813,0.265667,0.2660531,0.2650166,0.26759028,0.27951896,0.30065998,0.32825425,0.36053538,0.398326,0.4377545,0.46719873,0.4750127,0.4599248,0.43316332,0.40707585,0.3871779,0.37146685,0.35793293,0.34647426,0.33830628,0.33317348,0.3307016,0.3310007,0.3342632,0.33908787,0.34263098,0.34291324,0.34112856,0.34058535,0.34471926,0.35366774,0.36681166,0.38305864,0.40343407,0.42459974,0.4384829,0.43260065,0.40227437,0.35402337,0.30433488,0.26686117,0.24706654,0.24159752,0.2447099,0.2518443,0.2611114,0.27207825,0.28414658,0.29518795,0.30220017,0.3030206,0.29843155,0.2914379,0.28568193,0.28309187,0.28367946,0.2858969,0.28751755,0.2855806,0.27670887,0.25836238,0.2311153,0.19905502,0.16749413,0.13929869,0.11392582,0.08960425,0.06618259,0.045639005,0.030230038,0.021288896,0.019465758,0.026128566,0.04198535,0.065045565,0.08880064,0.10666242,0.11695566,0.12696128,0.14693205,0.1829503,0.22968061,0.2748121,0.30668026,0.32391068,0.3358164,0.3526721,0.37406954,0.383108,0.3619863,0.30766252,0.2420714,0.19522376,0.1872251,0.21508889,0.26072028,0.30365816,0.33141908,0.33933446,0.32576856,0.2906129,0.23787326,0.17863904,0.12854324,0.1019772,0.10777054,0.14534713,0.20545264,0.2697587,0.3204566,0.34712514,0.3563249,0.3656548,0.39091182,0.43103287,0.46722105,0.4801592,0.46410957,0.43051752,0.39344776,0.36104408,0.3333023,0.30859113,0.2864125,0.26786685,0.2537072,0.24426961,0.23875962,0.23650908,0.23671173,0.24014884,0.24919713,0.26670632,0.2929394,0.3225193,0.34778035,0.36370596,0.37408447,0.38630044,0.40455976,0.42150977,0.42401135,0.40098724,0.35395744,0.2954733,0.24452126,0.21610671,0.21518399,0.23410363,0.2581693,0.27366328,0.2728855,0.25454086,0.22143072,0.1801949,0.13960104,0.10857179,0.09310887,0.09555172,0.11524873,0.14815688,0.18777728,0.22553591,0.25547555,0.2756829,0.28903955,0.29856598,0.30543205,0.3084313,0.3069003,0.30133775,0.2925562,0.27988663,0.26184863,0.23798291,0.21027909,0.18236317,0.15770888,0.1381337,0.12387353,0.11395708,0.108076505,0.10813915,0.12001524,0.15026027,0.20012595,0.26070246,0.31616494,0.3545109,0.37498236,0.3875427,0.40020618,0.41051435,0.40402982,0.36888623,0.30818662,0.24474414,0.20745654,0.21343811,0.25699994,0.31480494,0.3620789,0.38420293,0.37864962,0.34816638,0.2983166,0.23856795,0.18357791,0.14891009,0.14591484,0.17535122,0.2275387,0.282473,0.322142,0.3371557,0.33552015,0.33524576,0.35595754,0.4036882,0.4653046,0.5154334,0.533426,0.5175384,0.4806969,0.43975517,0.4038334,0.37592486,0.3544211,0.33788732,0.32510224,0.31751326,0.31711027,0.32438865,0.33568332,0.34531966,0.34984136,0.3509849,0.35460976,0.36568776,0.3846111,0.4072859,0.42943838,0.4499223,0.46799827,0.47920883,0.47393358,0.44589993,0.39838412,0.34544793,0.30182466,0.27513108,0.2632418,0.25934124,0.2573125,0.25384605,0.24849623,0.24353962,0.24315017,0.2512789,0.26727125,0.28692403,0.30483258,0.3188169,0.32748446,0.3286524,0.31917283,0.2989873,0.27303436,0.24882853,0.2333148,0.2297163,0.23810852,0.2543181,0.27229643,0.2854683,0.2901298,0.28481677,0.26960826,0.2455631,0.21602826,0.18731655,0.16655372,0.15966083,0.16914375,0.19454618,0.23109253,0.27121198,0.30591843,0.32992375,0.3427267,0.34835362,0.35072365,0.35275328,0.35661733,0.36724672,0.38892868,0.42106712,0.45223495,0.46719906,0.45595968,0.42346394,0.38510814,0.35751972,0.34844577,0.35523477,0.3689911,0.380514,0.3838565,0.37713027,0.3627279,0.34648332,0.33559752,0.33420384,0.3417312,0.35459208,0.3701857,0.38829854,0.4084545,0.4286306,0.4455298,0.4600617,0.47762653,0.5047454,0.53758854,0.56150264,0.55761844,0.52176875,0.46497348,0.40882364,0.3667111,0.34267962,0.3298645,0.31985864,0.30514273,0.28453222,0.26314625,0.2498197,0.25048158,0.26381567,0.28240913,0.2997141,0.31465304,0.33112082,0.35131216,0.37262574,0.389931,0.4020129,0.4132096,0.4264045,0.4356694,0.42626116,0.3881124,0.32560992,0.2578341,0.20336558,0.16962183,0.15033169,0.13613626,0.12370091,0.11873752,0.1296313,0.15859656,0.19962566,0.24153785,0.27567363,0.29659,0.303231,0.29643714,0.28057003,0.26109812,0.2431003,0.22922628,0.22147878,0.22282575,0.23710133,0.26398447,0.296887,0.32384622,0.33697912,0.33609304,0.3287567,0.32198176,0.3184946,0.31542358,0.30692804,0.28829324,0.26109657,0.23640712,0.2286675,0.24422164,0.273748,0.29926515,0.3089039,0.30659774,0.30702034,0.32230964,0.3521128,0.38627896,0.41461825,0.43602797,0.45430395,0.47116005,0.47861472,0.46786907,0.43615827,0.3936553,0.35446116,0.3291078,0.3181597,0.3152417,0.3126812,0.3060736,0.2961879,0.28760216,0.28447163,0.28666735,0.28632006,0.27578962,0.25382674,0.23213077,0.22423212,0.23673998,0.26214814,0.2876214,0.30573025,0.32233247,0.351405,0.40051642,0.46003088,0.5076402,0.5263127,0.5165839,0.49249837,0.46730724,0.445412,0.42513046,0.4056847,0.38971433,0.381096,0.38111925,0.3874891,0.3957893,0.40225378,0.40425703,0.39963722,0.38691667,0.36841723,0.35163602,0.34589198,0.35528708,0.37669826,0.40425897,0.43416664,0.4618071,0.47645715,0.46293104,0.41418734,0.33899224,0.25946236,0.19499505,0.15388459,0.13130488,0.1191138,0.1115036,0.109502934,0.11900636,0.14662431,0.1935368,0.2504059,0.30129096,0.33075142,0.3347108,0.31948182,0.2980183,0.2795115,0.26779532,0.26116276,0.25862125,0.2610042,0.2714307,0.2892733,0.30939174,0.32282853,0.32560885,0.31998345,0.31308964,0.30858293,0.30601737,0.3028085,0.2992066,0.29783902,0.30086264,0.30641606,0.30861005,0.30116007,0.2821362,0.257163,0.23690797,0.23258103,0.24806094,0.2788974,0.3132153,0.34265128,0.3659569,0.3912369,0.42225668,0.45268202,0.46303546,0.43859562,0.38081872,0.31332272,0.26586878,0.25763038,0.28587398,0.3305763,0.36869454,0.38610318,0.3823549,0.36492506,0.34316218,0.32377717,0.31024563,0.30316147,0.30112776,0.30229667,0.30544102,0.30993047,0.31508636,0.32123482,0.33214816,0.3570782,0.40371665,0.46970534,0.5352299,0.57620126,0.5783569,0.5502096,0.5112184,0.4798089,0.46154785,0.4537789,0.45023718,0.44620964,0.4386849,0.42654955,0.4107753,0.39401743,0.3793303,0.36835065,0.36080888,0.35603467,0.35480908,0.3598461,0.37320504,0.39467314,0.42136383,0.45085517,0.47913876,0.49908206,0.49779806,0.46572053,0.40419134,0.32984936,0.2640891,0.22107123,0.20017123,0.19017287,0.17891163,0.1621788,0.14629371,0.14417702,0.1652899,0.2083271,0.25944594,0.30229548,0.32728687,0.33655557,0.33763728,0.33680955,0.3351066,0.33038577,0.31982544,0.30163205,0.27522328,0.241742,0.2042888,0.16741407,0.13552262,0.11107212,0.094224274,0.08294247,0.07445463,0.0657949,0.055812817,0.04619037,0.04225069,0.050692946,0.07505798,0.11257702,0.1543933,0.19199051,0.22127621,0.24414074,0.2632557,0.2796223,0.29174352,0.2996792,0.30732867,0.3230206,0.3536211,0.39684215,0.43616852,0.4489881,0.42192528,0.3638115,0.3001503,0.25668147,0.24256577,0.24959292,0.2618991,0.26824513,0.26655817,0.2613244,0.2589555,0.2630834,0.27348432,0.28645614,0.2988681,0.3101661,0.3220216,0.33495557,0.34692863,0.3551216,0.3605132,0.37035128,0.39603946,0.44189152,0.49740753,0.5383602,0.5461623,0.5200508,0.47738966,0.43497673,0.40071055,0.3728679,0.35026607,0.3324206,0.3193861,0.3081499,0.2960668,0.2820911,0.26832214,0.25749332,0.25140232,0.25067186,0.25613293,0.26978764,0.29214773,0.3202944,0.34870747,0.37492207,0.40263328,0.43582907,0.471047,0.49332547,0.48870626,0.4540714,0.4031146,0.35370266,0.31877533,0.29921523,0.28990242,0.28499946,0.2834569,0.28804335,0.30111587,0.3208609,0.34017718,0.3522154,0.35378978,0.34809706,0.3408308,0.3371664,0.3383874,0.34205893,0.34583056,0.35217103,0.37134692,0.4123278,0.47235414,0.529398,0.55781406,0.5438509,0.49808788,0.4407078,0.39073357,0.35437635,0.33200225,0.31935975,0.31338957,0.31110188,0.3115948,0.3141767,0.3178207,0.32068858,0.32177368,0.32198635,0.32409528,0.33028975,0.34003523,0.34912768,0.35408816,0.3563951,0.36555544,0.38969818,0.42807803,0.46417597,0.4791486,0.46189025,0.4194992,0.3679633,0.32354358,0.29297462,0.27392673,0.25950122,0.24433337,0.22872193,0.21709001,0.21478409,0.22447531,0.24574351,0.2754984,0.30844238,0.3380548,0.35809287,0.36560488,0.3618027,0.3528329,0.34784412,0.3580896,0.39193758,0.44867882,0.51347774,0.56309265,0.5793136,0.5610722,0.5220557,0.48097467,0.44969487,0.4322823,0.42564908,0.4248289,0.42421126,0.42009416,0.41107762,0.3992192,0.38861308,0.3830919,0.38331428,0.38860226,0.3986822,0.4144794,0.43458113,0.45436037,0.4697163,0.48099306,0.49272788,0.5058861,0.51377404,0.50443685,0.47096744,0.41728368,0.35561585,0.29786405,0.25102952,0.21752222,0.19867827,0.19494963,0.20687176,0.23408087,0.27412972,0.31947348,0.35830697,0.3810222,0.38611832,0.38085988,0.37450317,0.37265268,0.37477878,0.376794,0.3739672,0.36459014,0.3507317,0.33809412,0.33126345,0.3314878,0.33481312,0.33739758,0.3385615,0.34292576,0.35523453,0.37622938,0.4007931,0.42227027,0.43806592,0.4532175,0.47674227,0.5129921,0.5531288,0.5792374,0.5756618,0.5430919,0.49525893,0.451547,0.423022,0.41175744,0.4113175,0.4155337,0.42427957,0.4415996,0.46831465,0.49257457,0.4991169,0.47951064,0.44139883,0.39677706,0.35328135,0.30926785,0.26246086,0.21357101,0.16874784,0.13543814,0.12099636,0.12750135,0.14998643,0.17642973,0.19506542,0.20092642,0.19890206,0.19824833,0.20593458,0.22159295,0.2420413,0.2666801,0.3029543,0.35797867,0.4298614,0.50115854,0.5507769,0.5668545,0.55383384,0.52454466,0.49038184,0.45717642,0.4263529,0.3987087,0.3748283,0.35564318,0.3402476,0.3271325,0.3154522,0.3074123,0.30638382,0.31405866,0.3290298,0.34773293,0.3668196,0.3832409,0.396082,0.40715814,0.42213508,0.44481125,0.47129115,0.487236,0.47672942,0.43395543,0.3685685,0.29918817,0.24087697,0.1987626,0.16903864,0.14679582,0.13153549,0.12873153,0.1466043,0.1880883,0.24710272,0.3070999,0.35224926,0.37285665,0.37103602,0.3538308,0.33119956,0.31131923,0.300462,0.30224082,0.3201706,0.35755953,0.41247138,0.4702476,0.50823575,0.5072639,0.46597683,0.39626706,0.31709906,0.24373025,0.18790013,0.15431337,0.14096797,0.14121807,0.14805569,0.15782423,0.16789748,0.17611997,0.18008192,0.18071426,0.18243335,0.19006403,0.20274498,0.21302973,0.21331827,0.20658748,0.20849925,0.2392848,0.30568552,0.39359376,0.4725779,0.5174114,0.5207189,0.49497604,0.45715198,0.41835293,0.3802522,0.34243032,0.3075719,0.2822508,0.2722406,0.27810565,0.2951274,0.3159939,0.3351315,0.34957162,0.36014235,0.36963776,0.38201824,0.39852348,0.41683367,0.43335137,0.4486271,0.46984816,0.5021212,0.53935933,0.5608685,0.54825854,0.4977524,0.4250706,0.34897384,0.28486305,0.23898488,0.21493018,0.20995593,0.2190295,0.23698826,0.26231432,0.29412937,0.3270294,0.35399595,0.37043753,0.37842432,0.38183877,0.38310513,0.3818721,0.37755832,0.37153018,0.3678551,0.3733516,0.39237645,0.42303905,0.45321262,0.4696473,0.46381044,0.43972978,0.40660378,0.3751603,0.3508253,0.33565223,0.3279407,0.32435325,0.32119545,0.31688914,0.3124329,0.3089873,0.30566284,0.29974332,0.2904009,0.27992412,0.27268723,0.2710956,0.2747723,0.28248346,0.2967756,0.32589653,0.3772225,0.4473985,0.5168555,0.56242317,0.5718787,0.55238557,0.51810277,0.48086604,0.44412223,0.40997759,0.3802307,0.3576765,0.34268704,0.3334193,0.32658294,0.31985065,0.3131002,0.30779657,0.30563357,0.30862746,0.31861213,0.33638158,0.35895106,0.38197374,0.4029045,0.42489877,0.45064116,0.47656226,0.48850778,0.47214678,0.42262593,0.35212204,0.28182903,0.23167773,0.20912637,0.20863442,0.21658653,0.22063886,0.2146449,0.1988212,0.17664611,0.15231077,0.13047653,0.114797376,0.1077508,0.10960635,0.12094739,0.14260331,0.17448954,0.21319015,0.25411686,0.2977146,0.35008907,0.41580555,0.48565865,0.53941804,0.5577056,0.5383819,0.493685,0.4424261,0.39715382,0.36421025,0.34356686,0.3325576,0.32639113,0.3204272,0.31287286,0.306208,0.30536783,0.31281877,0.32614803,0.34101757,0.35525832,0.36968756,0.384151,0.39643404,0.40447232,0.41109654,0.42264247,0.44200614,0.46132097,0.4632051,0.433364,0.37191668,0.29560676,0.22523701,0.17414409,0.14265527,0.12416571,0.11246226,0.10810844,0.118207835,0.15059873,0.20466368,0.2671788,0.31862926,0.34536663,0.3468537,0.3321862,0.31157947,0.29097924,0.2725329,0.25956365,0.25999293,0.28652433,0.34406054,0.42078662,0.48544905,0.51086926,0.48867595,0.4374727,0.38183388,0.34204534,0.32242307,0.31898406,0.320501,0.31789586,0.3052536,0.28385943,0.25936463,0.24089234,0.23604207,0.24898262,0.27714285,0.312042,0.33859614,0.34166613,0.31308317,0.2625824,0.21568377,0.20566458,0.24983597,0.3386767,0.43386886,0.49810186,0.51465094,0.49822035,0.4714428,0.45102894,0.43870378,0.43261418,0.4301685,0.43073595,0.43238708,0.43325087,0.4321964,0.42928472,0.42521217,0.41994667,0.41245008,0.40168706,0.38833526,0.37596488,0.3678738,0.36591133,0.37057677,0.3864845,0.41882357,0.46610165,0.5112212,0.53192514,0.51469195,0.46634257,0.40276226,0.33891794,0.28072467,0.23136137,0.19449115,0.17706364,0.1869177,0.22678803,0.2893961,0.35621226,0.4079167,0.43368605,0.4358691,0.4238163,0.40695682,0.39120397,0.37796584,0.36733016,0.36005974,0.36208084,0.37957248,0.41288236,0.44968677,0.472787,0.47093096,0.44812635,0.4178393,0.3947619,0.38511965,0.38718355,0.39203846,0.3916172,0.38139805,0.36461517,0.34602067,0.32952762,0.31358227,0.2971283,0.28102395,0.27051723,0.2685032,0.27351293,0.27943763,0.2821519,0.28426078,0.29621115,0.3308113,0.39188576,0.46670207,0.528812,0.55552715,0.5425034,0.50507885,0.46395615,0.43239704,0.4126245,0.4013472,0.39486918,0.39163575,0.3912729,0.3932984,0.3961828,0.3973426,0.3945233,0.38653278,0.37490737,0.36406577,0.35976836,0.36579677,0.38025215,0.39869285,0.4178643,0.4406431,0.4681622,0.49473837,0.504595,0.4862399,0.44003,0.38015357,0.31964564,0.26377153,0.20998223,0.158355,0.11577583,0.09481635,0.106117465,0.15209402,0.22214419,0.29701218,0.35636997,0.3903642,0.40004775,0.3946453,0.3835692,0.37414217,0.36956763,0.37056544,0.37898767,0.4012382,0.4417778,0.4945688,0.53838587,0.55376464,0.53443587,0.49317595,0.44505262,0.40116653,0.36434138,0.33617494,0.31671378,0.30553138,0.3009684,0.30090448,0.30346525,0.30676708,0.31014082,0.31335235,0.3175721,0.3243045,0.33547235,0.35048008,0.36536837,0.3750271,0.379297,0.3863484,0.40483347,0.4331992,0.4533818,0.4446975,0.39900592,0.33027962,0.26203766,0.2125385,0.18427978,0.169326,0.15916908,0.15365048,0.16060638,0.18966766,0.24228553,0.30845526,0.36986783,0.4118074,0.42950377,0.4292847,0.42002845,0.40848222,0.3965142,0.38543582,0.3791815,0.3868666,0.41543734,0.46076155,0.5020845,0.5163932,0.49331263,0.44521394,0.3930174,0.35493636,0.33540356,0.33039233,0.330405,0.32772586,0.31762818,0.29912043,0.27355126,0.24468607,0.21786706,0.19754934,0.18426728,0.17542344,0.1674835,0.15885027,0.14900656,0.14009392,0.13768631,0.15405951,0.20082088,0.2809222,0.3771945,0.46220824,0.51052195,0.51791614,0.49612138,0.4654498,0.438055,0.41772255,0.40101874,0.38519502,0.36886224,0.35119566,0.3301461,0.30464748,0.27731988,0.25457048,0.24255504,0.24421,0.25821018,0.28061602,0.3052049,0.32482854,0.33580348,0.34338522,0.36250708,0.40520182,0.4666187,0.5207955,0.53914064,0.51028985,0.44821835,0.3776233,0.31885675,0.27862504,0.25550172,0.24535729,0.24792595,0.2649298,0.29683584,0.33791232,0.37750664,0.40537676,0.41768858,0.4182018,0.41499034,0.41439974,0.41832742,0.42334947,0.42638123,0.42785895,0.43442032,0.450447,0.4726374,0.48610306,0.47683153,0.44066766,0.39100572,0.3488066,0.33122638,0.34037086,0.36389723,0.3846929,0.39014593,0.3778678,0.35296032,0.32532346,0.30460548,0.2953931,0.2947719,0.2952381,0.29172865,0.28510046,0.28013477,0.28104135,0.28999075,0.30944657,0.3441677,0.3965172,0.45999965,0.5164402,0.54758817,0.5458033,0.51893836,0.47986308,0.43936405,0.40252182,0.37248564,0.35087362,0.3382481,0.3334179,0.33411375,0.3374164,0.3402274,0.34045872,0.33763972,0.3339446,0.33299732,0.3378098,0.3478057,0.3586196,0.3665086,0.37271383,0.38527688,0.40965918,0.44197348,0.46437898,0.45893082,0.41778073,0.3526614,0.2855047,0.23810148,0.21931712,0.22374375,0.23769021,0.2505441,0.26160002,0.27855238,0.30824327,0.34894106,0.3888259,0.4149166,0.42235234,0.41737762,0.41013804,0.40623176,0.4046103,0.402076,0.39911845,0.40311816,0.42371455,0.46473947,0.51396066,0.5496259,0.5525144,0.5223455,0.47168568,0.4172275,0.3668448,0.323361,0.28658846,0.25839648,0.24106877,0.23710267,0.24623942,0.26443496,0.28371456,0.2969149,0.30088887,0.299229,0.298322,0.30391383,0.31557035,0.32832062,0.3371433,0.3448631,0.3602691,0.38813663,0.41851243,0.42995822,0.40630695,0.34995818,0.2808216,0.22017114,0.17858101,0.15323867,0.13705352,0.1272753,0.13039671,0.15823014,0.21767335,0.30180597,0.38958177,0.45874596,0.4973557,0.50848335,0.50209206,0.4881113,0.4718562,0.45528188,0.44016764,0.4317557,0.44037035,0.47247162,0.52228224,0.5675602,0.58619803,0.56920695,0.5281745,0.4809786,0.442816,0.41899645,0.40906778,0.40781128,0.4087719,0.4077984,0.40484416,0.40318024,0.4036841,0.40429375,0.40099373,0.393136,0.38420916,0.3800511,0.38435295,0.3959483,0.41071936,0.42564166,0.44216582,0.46144673,0.4796332,0.4853482,0.46977434,0.43337217,0.38852707,0.34960482,0.32583204,0.3176731,0.32018277,0.32768032,0.33765435,0.35251394,0.3758708,0.40799335,0.44249973,0.4707316,0.4865072,0.48951736,0.48308638,0.47147903,0.4578569,0.44295397,0.42744192,0.4147607,0.41526031,0.43845594,0.48385286,0.53288454,0.5628347,0.56119806,0.53673077,0.50551707,0.48033944,0.46106553,0.44347593,0.42273936,0.40011474,0.37967882,0.36691475,0.3631117,0.36426392,0.3638403,0.35782576,0.34867862,0.34277856,0.34647682,0.36089775,0.38173583,0.40262437,0.42052624,0.4386735,0.46053946,0.48362294,0.49555722,0.48475334,0.44885612,0.39920625,0.35135463,0.31650642,0.29725024,0.2902521,0.29164186,0.29974785,0.31659877,0.34403896,0.3806466,0.41867077,0.4484897,0.46335748,0.46432757,0.45699748,0.44801557,0.4406787,0.43619347,0.43486843,0.4389012,0.45267415,0.4802966,0.5195387,0.55814725,0.5795916,0.57472795,0.5489964,0.516229,0.48799255,0.46757448,0.45365188,0.44411126,0.43753433,0.4314505,0.42362913,0.41360286,0.4041866,0.39878023,0.39918157,0.4039698,0.41024813,0.4154109,0.41801998,0.4179283,0.415656,0.41343054,0.41466942,0.4224156,0.43520632,0.4452425,0.44184282,0.41852853,0.37845016,0.33261076,0.2934768,0.26820278,0.25666335,0.25366175,0.25467947,0.25973412,0.27468988,0.30452493,0.3477386,0.39166477,0.4213353,0.42677733,0.41135284,0.385049,0.3591974,0.33882415,0.3243899,0.3154323,0.3161911,0.33799514,0.39024284,0.46849832,0.5469723,0.593663,0.59146506,0.55006826,0.49398577,0.4447174,0.41085067,0.39160764,0.38206503,0.37731752,0.37326398,0.36857525,0.3635756,0.35970506,0.3573737,0.35698724,0.3582575,0.36128154,0.36466166,0.3668072,0.3656317,0.3613195,0.35498372,0.34866476,0.34303072,0.33883214,0.3362532,0.33542708,0.33485675,0.33301112,0.32882833,0.32294488,0.31619528,0.3097316,0.30432335,0.30094695,0.2998469,0.3010001,0.30375037,0.3073736,0.31069103,0.31261408,0.3126556,0.31134313,0.31023613,0.3109497,0.31443045,0.31989267,0.32506755,0.3269315,0.32354596,0.31539643,0.30565047,0.2983254,0.29549682,0.29615724,0.2973449,0.29723108,0.29582,0.29451787,0.29399136,0.2944006,0.29549178,0.29764572,0.30093396,0.30508852,0.3086834,0.31074214,0.3105549,0.30869815,0.30536708,0.3011545,0.29641595,0.29238522,0.29006708,0.29008278,0.29189518,0.29458675,0.2972567,0.29955482,0.30121914,0.30177674,0.30058196,0.2975489,0.29373685,0.29073715,0.28970405,0.29069984,0.29338142,0.29757264,0.30316162,0.30965343,0.31596503,0.32119167,0.32473865,0.32630095,0.32546964,0.32234058,0.31825045,0.31522974,0.3147067,0.31619442,0.31837666,0.31999815,0.3208576,0.32074094,0.31981155,0.31829718,0.31739596,0.3179345,0.3202627,0.3233908,0.3261379,0.32741868,0.32691577,0.32471475,0.32119656,0.31728813,0.31469092,0.31516802,0.31916228,0.32502213,0.3307221,0.33538207,0.34010497,0.34558943,0.35111785,0.35450467,0.35472366,0.35271624,0.3506069,0.34947386,0.34868035,0.34718338,0.34482035,0.34248123,0.34083462,0.34029076,0.3413891,0.345044,0.35119995,0.35822544,0.36383584,0.36709824,0.3688445,0.3703291,0.3719653,0.37361446,0.37606528,0.3806801,0.3877302,0.394843,0.39854065,0.39743093,0.3931596,0.3889703,0.38595864,0.38376358,0.38129747,0.37976655,0.38015243,0.38272467,0.38525143,0.38611946,0.38519564,0.3844045,0.38525996,0.38767144,0.39015678,0.39154574,0.39154497,0.39066866,0.3887548,0.38599184,0.38262606,0.38035727,0.37997314,0.38152897,0.38342938,0.38507524,0.38640454,0.3881742,0.38965103,0.39001867,0.38870227,0.38696238,0.38601187,0.3861781,0.38667035,0.38695502,0.38750872,0.38894722,0.3910346,0.39323822,0.39525512,0.3989571,0.40545854,0.4156262,0.42652437,0.43575516,0.44070944,0.44219175,0.44133854,0.4399245,0.44060722,0.44885954,0.47321025,0.51683515,0.57186264,0.617029,0.63209945,0.6090808,0.5571337,0.49104264,0.42099786,0.35053697,0.28263375,0.2258346,0.18968736,0.17917453,0.18857165,0.2074551,0.22524798,0.23641533,0.23816095,0.2306403,0.21786724,0.20858014,0.21339421,0.23755568,0.27710748,0.3195312,0.35264066,0.3706832,0.37587115,0.37176168,0.3585881,0.33406806,0.29937303,0.2632831,0.23812793,0.23147528,0.23943003,0.24989541,0.25157642,0.24222077,0.22830252,0.21861427,0.21737695,0.22301918,0.23132284,0.23934023,0.24586451,0.24919637,0.24541414,0.23012286,0.20269203,0.16866289,0.13780911,0.12018003,0.1233144,0.15033512,0.19677544,0.24925943,0.2905836,0.310509,0.31161466,0.3052223,0.300847,0.30087218,0.3028015,0.30460322,0.30644497,0.30813196,0.30684578,0.2980694,0.2795613,0.25391352,0.22831751,0.21120131,0.2093984,0.22408849,0.25030354,0.27772868,0.2976472,0.30550244,0.30147097,0.28559193,0.25870714,0.22448696,0.19217338,0.17276038,0.17375338,0.19522029,0.23006463,0.2680169,0.2990162,0.31703374,0.3197179,0.30949154,0.29139948,0.27247354,0.25905022,0.25806046,0.2786665,0.32957342,0.4101318,0.5016169,0.57553345,0.60976285,0.60503364,0.57732534,0.5460184,0.5193226,0.49807945,0.4791782,0.46251574,0.4496933,0.44297576,0.4419075,0.44315413,0.4420419,0.43782273,0.43636754,0.4499567,0.4862452,0.53899956,0.58626133,0.60570985,0.5914429,0.5563724,0.5212456,0.49825934,0.48923436,0.4879051,0.48919332,0.4912125,0.4970993,0.50833327,0.52192456,0.5273929,0.5175316,0.49366298,0.4726235,0.4750042,0.5115648,0.56905764,0.6151449,0.6226304,0.5875131,0.5316898,0.4781567,0.43843436,0.40870753,0.38389626,0.36150348,0.34198737,0.3247376,0.30764827,0.2891484,0.26922497,0.25222728,0.24819084,0.2722952,0.33458295,0.4267522,0.51753575,0.56977326,0.5646288,0.51312095,0.44220063,0.3754064,0.32317802,0.2875786,0.26706418,0.2582238,0.2555952,0.25309664,0.24467371,0.22538966,0.19397712,0.15730642,0.1289421,0.12186215,0.136382,0.15913956,0.17065477,0.1633024,0.14682965,0.14589824,0.18113452,0.2556584,0.34795168,0.4242761,0.45908824,0.44952822,0.41415417,0.3757598,0.3488121,0.33411404,0.32633552,0.31991628,0.3138957,0.30996796,0.30878043,0.30605724,0.29392323,0.2673972,0.23066758,0.19687973,0.18139847,0.19287997,0.229334,0.27832112,0.3242302,0.35504153,0.36832952,0.3685491,0.36227572,0.35324886,0.34297916,0.33264625,0.32410276,0.31884933,0.3169447,0.3174726,0.31883776,0.31951812,0.3173402,0.3117021,0.3026575,0.29254946,0.28221416,0.27369228,0.26813337,0.2679224,0.27193627,0.27670076,0.27715218,0.27164948,0.2642802,0.26404068,0.28213486,0.32101,0.3718132,0.41118118,0.42244527,0.40368938,0.37983704,0.37977985,0.4204886,0.48760715,0.54933983,0.5781076,0.56967324,0.5394722,0.5030373,0.4642962,0.41512537,0.3511708,0.28171718,0.23425503,0.2390362,0.30826175,0.42072287,0.5328209,0.6078167,0.6368005,0.63513094,0.62036943,0.60096693,0.57790446,0.5540356,0.53288156,0.51601636,0.500105,0.48222432,0.46174523,0.441852,0.42514828,0.41288057,0.40408334,0.39799607,0.39357558,0.38964024,0.38418746,0.37670603,0.3684229,0.36246932,0.36025536,0.36150026,0.36413848,0.36828896,0.3759835,0.3912399,0.41538683,0.44540283,0.4725107,0.48756412,0.48594633,0.47080585,0.44967163,0.4292644,0.41271183,0.39942947,0.38787508,0.37654042,0.3657609,0.35653982,0.35100797,0.3511242,0.35933825,0.37770936,0.40892926,0.4562321,0.51826906,0.58274585,0.62612486,0.6296672,0.59519905,0.5451672,0.50447905,0.48332116,0.4778807,0.4802265,0.4865249,0.49548015,0.5047064,0.5106515,0.51049525,0.5054907,0.49954548,0.49988475,0.51305723,0.5437029,0.58532476,0.6223219,0.6348185,0.61804765,0.58307076,0.5508694,0.53133965,0.5231059,0.5163819,0.5074678,0.49740097,0.4936974,0.49991855,0.5143078,0.5246317,0.51918226,0.49478698,0.46541378,0.45410478,0.4764198,0.5246094,0.5661146,0.56703734,0.51582676,0.4336958,0.35385224,0.2997266,0.27333924,0.26371008,0.25776926,0.24845816,0.23701368,0.22996108,0.23305403,0.2462536,0.26466036,0.28562117,0.31369212,0.36076173,0.43191567,0.51414716,0.574253,0.58301187,0.53636193,0.45948026,0.38389012,0.32802388,0.29332325,0.27398035,0.26419547,0.26012483,0.25998566,0.26319075,0.26921824,0.27533707,0.27882883,0.27861723,0.27746215,0.2790958,0.28649294,0.2994623,0.3153101,0.33131504,0.34740496,0.36818436,0.3955512,0.42586574,0.44497237,0.44166696,0.41099325,0.36255136,0.30877075,0.26180238,0.22513682,0.19780475,0.17910714,0.17620337,0.20483945,0.27606824,0.38114586,0.48744726,0.5590262,0.5802695,0.56227785,0.5283991,0.4964598,0.47410974,0.46126768,0.45480964,0.45049894,0.4455466,0.43905,0.43024683,0.41722295,0.39775488,0.37256733,0.34524393,0.32092282,0.30276883,0.29175267,0.28676102,0.28567153,0.28579518,0.28458104,0.2816629,0.27889675,0.27952608,0.28426078,0.29098162,0.29560915,0.29641217,0.29478195,0.29442573,0.29694942,0.3014206,0.30634823,0.31641546,0.33821273,0.37438926,0.41251302,0.4346135,0.42641124,0.39090034,0.34197423,0.29675588,0.2645594,0.24494737,0.23072661,0.21586241,0.20262046,0.20292479,0.22758119,0.27575862,0.3293477,0.36817232,0.3819181,0.37879562,0.37275997,0.37421206,0.3807085,0.3831216,0.37295,0.3519114,0.3297596,0.31650114,0.31293115,0.31241122,0.30811593,0.30064917,0.29532424,0.29667592,0.3030583,0.30948588,0.3112779,0.30795655,0.30177107,0.2965279,0.29479274,0.2978585,0.30458888,0.3153317,0.33415166,0.37196532,0.43507496,0.5153448,0.5810953,0.59826964,0.5529636,0.47120798,0.39956525,0.37377706,0.39289784,0.42497072,0.43919942,0.4293784,0.42057833,0.4393973,0.49200168,0.550375,0.57739186,0.5503004,0.47877064,0.39111307,0.31688765,0.27054128,0.25143,0.25059995,0.2620797,0.29063144,0.34527132,0.4269013,0.5155681,0.5835886,0.61104244,0.6029722,0.5761257,0.5488717,0.5271225,0.51220447,0.50224423,0.4972289,0.49512184,0.4937283,0.49141148,0.48870763,0.48601353,0.4822843,0.47551847,0.46615043,0.45664117,0.44951782,0.44365025,0.43701756,0.42893,0.42244184,0.42033777,0.4234691,0.43024322,0.4388202,0.44857433,0.45929277,0.4723887,0.48724315,0.5020494,0.51065034,0.5097217,0.5013518,0.49749827,0.5131298,0.553221,0.60545176,0.6414709,0.64190125,0.60481256,0.54986864,0.49227956,0.43758854,0.37816536,0.31169492,0.24766774,0.21018721,0.22499049,0.30121613,0.4176776,0.53062654,0.5996917,0.61423165,0.5915335,0.55797315,0.52609533,0.49466178,0.45736635,0.41412815,0.37131354,0.33704516,0.31606635,0.30748883,0.3070217,0.30955374,0.31211886,0.3138771,0.31484625,0.31437603,0.31142807,0.3064017,0.30139923,0.29837587,0.29646465,0.29147926,0.27840206,0.25440267,0.22274323,0.19393493,0.18541028,0.2104454,0.26810268,0.33516845,0.381361,0.38600016,0.35436532,0.30884042,0.274919,0.26445195,0.27352348,0.28837845,0.29624832,0.29280713,0.28324792,0.27730134,0.28146848,0.29299295,0.30226672,0.30038545,0.28828856,0.2737364,0.2638763,0.25593495,0.24252123,0.21967168,0.19441128,0.17944337,0.1848033,0.21129818,0.25058183,0.28996658,0.31787133,0.32906353,0.32544255,0.31367877,0.30101654,0.29177713,0.2871436,0.28601682,0.28923163,0.29913804,0.3171586,0.33789718,0.35090455,0.34710494,0.32658127,0.29938486,0.27980784,0.27745238,0.2918416,0.31500316,0.34089163,0.37006187,0.40404463,0.43596494,0.4504249,0.43820274,0.4081812,0.38863263,0.40558994,0.4633383,0.53586036,0.5886173,0.6015813,0.5803842,0.53934854,0.4883566,0.4286449,0.36519143,0.30891162,0.2760829,0.2807554,0.3298879,0.41451573,0.5066716,0.5707765,0.5857939,0.5590233,0.5167095,0.48242494,0.46386877,0.45657086,0.4541092,0.4530144,0.45178923,0.44950584,0.4464548,0.4443655,0.44429484,0.44512442,0.44437864,0.4420811,0.44110858,0.44467795,0.45169201,0.45764312,0.458721,0.45584965,0.45374373,0.45628765,0.46380195,0.47298607,0.4814489,0.4893589,0.5005069,0.51603466,0.5334696,0.5442276,0.542842,0.52785426,0.50608325,0.48448154,0.4685173,0.45768484,0.44849148,0.43721518,0.4229083,0.4074616,0.39212617,0.376314,0.35821918,0.33920893,0.3261088,0.3317245,0.36874667,0.43864,0.522587,0.58750945,0.6083503,0.5869793,0.54827684,0.51725197,0.501044,0.49174464,0.4803083,0.46554497,0.45190415,0.44317737,0.43938717,0.43757287,0.434768,0.42972794,0.42312822,0.416361,0.41088822,0.4084618,0.4107968,0.4185039,0.42899802,0.4379802,0.4413863,0.4392461,0.43377158,0.42796028,0.42328933,0.42176947,0.42697534,0.44119263,0.46285757,0.48372903,0.49452814,0.48827526,0.46621403,0.4361365,0.40893766,0.39198855,0.38535795,0.3839887,0.38174856,0.37657797,0.36998442,0.3653029,0.36377978,0.36457357,0.3660452,0.36806524,0.37111056,0.37539902,0.37938002,0.38195184,0.3823118,0.38248882,0.38428402,0.38963914,0.39631426,0.400889,0.39918995,0.3915478,0.3814138,0.37432206,0.37303746,0.3760977,0.37905523,0.3784858,0.3775854,0.38703313,0.42089176,0.48317775,0.55919445,0.6196265,0.64114636,0.6223896,0.58099586,0.5356546,0.4932991,0.45208052,0.41118655,0.3772914,0.36165115,0.374276,0.4139451,0.46562222,0.5036166,0.50907016,0.48028085,0.43437183,0.39135942,0.36309132,0.349293,0.34454668,0.34415278,0.34706834,0.35593283,0.3741643,0.40165833,0.43206453,0.45543692,0.46585724,0.46411088,0.45635593,0.44736603,0.44007704,0.4352784,0.43359718,0.43328962,0.43023887,0.41921535,0.39758685,0.36749616,0.33481073,0.30558547,0.28245983,0.26443,0.24905847,0.23515736,0.22320633,0.2140444,0.20764256,0.20304585,0.19924001,0.19544245,0.19083448,0.1843168,0.17526795,0.16450585,0.15428655,0.14666212,0.14200564,0.13881363,0.13550216,0.13137682,0.12679558,0.12185428,0.11652369,0.11096162,0.10636038,0.104187526,0.10530331,0.1089671,0.11331607,0.116343476,0.11712912,0.11593103,0.11399802,0.11299955,0.11483765,0.120235704,0.1280248,0.13500486,0.13896032,0.140024,0.14100157,0.14358144,0.1473143,0.14932893,0.14796273,0.14335328,0.13794883,0.13412689,0.13367856,0.13677473,0.1424042,0.14869891,0.15415092,0.15827061,0.16153665,0.16442494,0.16682278,0.16804825,0.16756444,0.16525282,0.16129614,0.15570821,0.14846504,0.13988759,0.13104747,0.12350949,0.11868414,0.11706521,0.11745403,0.11730865,0.113803335,0.10610814,0.095750324,0.085953794,0.079149045,0.076252215,0.07647278,0.0786891,0.081966676,0.08614156,0.09107462,0.096160986,0.099880904,0.10084906,0.098695345,0.09442022,0.08946244,0.08482322,0.08097475,0.07806027,0.07635903,0.07593519,0.076926805,0.079106994,0.08212799,0.085017085,0.087076135,0.08864383,0.09162357,0.09786294,0.106286496,0.11279575,0.112611555,0.105541475,0.09561593,0.08871136,0.087120354,0.08979014,0.09381232,0.09729499,0.09951847,0.10039181,0.09997904,0.09832337,0.095666945,0.09243546,0.089272946,0.08722612,0.0875523,0.091382004,0.09805194,0.104806416,0.1076099,0.10439215,0.09621632,0.08657194,0.07850746,0.07324534,0.07044082,0.06943036,0.07034079,0.07409427,0.08153886,0.09187105,0.10216727,0.10875621,0.10972444,0.10582607,0.09947685,0.09253525,0.08583609,0.07952411,0.07430333,0.07158055,0.073463656,0.08155032,0.095699005,0.1132313,0.13014673,0.14346607,0.15295874,0.16101688,0.17050935,0.18262935,0.19571765,0.20661367,0.21305521,0.21514648,0.21433385,0.21098417,0.20365024,0.19095875,0.17397837,0.15669292,0.1435092,0.13751154,0.13949971,0.14830582,0.16024606,0.16995211,0.17374526,0.17294133,0.17353956,0.18095505,0.19553137,0.21246243,0.22626434,0.234321,0.23741968,0.23729412,0.23558821,0.2337236,0.23424172,0.23944259,0.24985456,0.2623174,0.271729,0.27330056,0.26478752,0.246702,0.22296913,0.20132595,0.19106053,0.19759236,0.21763434,0.2403815,0.2534562,0.24930663,0.2280625,0.1968805,0.1669426,0.14773968,0.14283602,0.14784235,0.15537284,0.15924163,0.15906775,0.15756339,0.15871744,0.16367799,0.17239435,0.18425596,0.19996192,0.2192773,0.23971392,0.25653926,0.26551673,0.26517782,0.25675598,0.24298571,0.22666948,0.210249,0.19462512,0.1786889,0.16015433,0.1380196,0.114483,0.094274096,0.08265101,0.08268871,0.09336137,0.10949438,0.12435126,0.13437074,0.14052604,0.14582981,0.15094261,0.1531567,0.14907692,0.13729638,0.11976031,0.10048366,0.083880216,0.072423086,0.0662387,0.064594895,0.06856958,0.080522604,0.101268984,0.1267787,0.15044586,0.16711153,0.17656642,0.18143171,0.18477274,0.18856297,0.19556488,0.20862,0.22904444,0.25261307,0.27137053,0.27705306,0.26787195,0.24801713,0.22541465,0.20515747,0.18931478,0.17670722,0.16661794,0.1582175,0.15141182,0.14565538,0.14077629,0.13758673,0.13770297,0.14288123,0.1523434,0.16330467,0.17147815,0.17453986,0.17210688,0.16577508,0.1571709,0.14755069,0.13781479,0.12825696,0.118982285,0.10920025,0.098711975,0.087808825,0.0781791,0.071199395,0.06749768,0.06620375,0.06598905,0.06556944,0.06447997,0.06329707,0.06382478,0.0681226,0.076996654,0.08873273,0.10000575,0.10779408,0.111240156,0.11131064,0.10971642,0.1076797,0.10577134,0.10405413,0.10223279,0.09981197,0.096215695,0.09112237,0.08458955,0.07700626,0.068909846,0.060813803,0.053293437,0.04693385,0.04220565,0.03916754,0.037429903,0.03643012,0.03574614,0.035255536,0.034919705,0.034639,0.034184273,0.03340077,0.03234396,0.031249575,0.03035052,0.029664537,0.029029697,0.028229242,0.027196242,0.026045403,0.024988731,0.024187377,0.023655346,0.023290692,0.02297569,0.022633413,0.022264322,0.021888651,0.021569306,0.02135882,0.021287529,0.021331975,0.02140995,0.021454668,0.021413563,0.021293571,0.021101467,0.02083654,0.020497432,0.020089304,0.01967646,0.01930953,0.019000107,0.01866867,0.018210506,0.01762394,0.017002972,0.016497241,0.016130276,0.01583495,0.015531704,0.015224942,0.014998782,0.014894404,0.01492149,0.0150743695,0.01540273,0.015997665,0.016917033,0.018201647,0.01984722,0.021822976,0.024038365,0.026345735,0.028661424,0.030958554,0.033242036,0.03529534,0.036585372,0.0364088,0.03476675,0.033913013,0.039329115,0.05795763,0.092772126,0.13784808,0.17924817,0.20382194,0.2083625,0.20113777,0.19417803,0.194107,0.1999415,0.20707585,0.21279453,0.21706976,0.22090723,0.22425336,0.22624348,0.22591513,0.22232586,0.21406113,0.19973052,0.17951673,0.15618002,0.13482566,0.12146599,0.12266236,0.14208044,0.17790438,0.21935017,0.25302598,0.2693944,0.26948106,0.26041913,0.2499978,0.24139142,0.23395716,0.22520119,0.21386413,0.20160075,0.19377553,0.19558333,0.20830148,0.2261905,0.24026807,0.24200468,0.22686003,0.19489707,0.15124917,0.10590636,0.07015268,0.05316266,0.059606064,0.08902351,0.13541694,0.18593073,0.22634788,0.2463423,0.24630623,0.23275615,0.21409912,0.19429737,0.17630577,0.16301323,0.15837204,0.16180916,0.16845916,0.17203005,0.17008714,0.16288008,0.15022458,0.13170461,0.11068187,0.095994115,0.096703924,0.116215385,0.15132874,0.19707264,0.24833226,0.29863742,0.33763552,0.35638526,0.35199547,0.33057854,0.30187187,0.27483585,0.25456795,0.24207924,0.23547697,0.23102744,0.2269382,0.2236088,0.22352386,0.2270568,0.23269401,0.23689824,0.23665757,0.22829418,0.2094592,0.18029745,0.14677349,0.11792042,0.10291805,0.1055896,0.12431792,0.15171868,0.17917454,0.19935061,0.20996659,0.21261425,0.21116148,0.20856862,0.20613934,0.20357335,0.20011634,0.19509788,0.18809938,0.17861034,0.16627388,0.15136725,0.13558193,0.12164613,0.11224055,0.10845623,0.10937592,0.11272905,0.116086274,0.11771353,0.11665347,0.1126887,0.10611444,0.09786204,0.08923162,0.08160641,0.07584977,0.07213485,0.070052564,0.0690411,0.068557434,0.06817069,0.0675415,0.06657123,0.06528918,0.063768655,0.061997592,0.060105216,0.05839918,0.05724441,0.056588963,0.05582115,0.05398498,0.050433878,0.045234796,0.039099056,0.032970693,0.027568096,0.023335919,0.020351062,0.018508108,0.017476333,0.01693659,0.016596401,0.016299399,0.016000682,0.01579582,0.01588621,0.01645554,0.017499112,0.018732019,0.01966671,0.019902572,0.01934129,0.018269742,0.01712285,0.016277567,0.015886344,0.015934488,0.01631625,0.016952755,0.017835645,0.019039862,0.020654382,0.02270876,0.025096694,0.027583888,0.029882574,0.03178185,0.033254653,0.03446802,0.035686936,0.037110016,0.038741563,0.040392607,0.041747507,0.0424525,0.04206085,0.040126294,0.036414284,0.031454135,0.02686695,0.025278926,0.029544927,0.04128905,0.059861142,0.081741445,0.10201019,0.116809286,0.12633365,0.13589783,0.15192421,0.1771987,0.20621312,0.23016526,0.24190749,0.24262817,0.23889385,0.23875783,0.24469483,0.25183353,0.2509623,0.23694193,0.21510471,0.19918941,0.20090796,0.22053508,0.24640065,0.26409626,0.26617232,0.25600696,0.24355264,0.23813514,0.24288444,0.2540406,0.2642664,0.2667413,0.25798383,0.2380238,0.20979518,0.17780592,0.14799555,0.12719311,0.121459335,0.13232939,0.15441115,0.17765188,0.19339615,0.19943361,0.19933973,0.1987645,0.20117502,0.2073216,0.21530604,0.22302027,0.22944646,0.23650391,0.2465136,0.2598523,0.27215508,0.27802393,0.27361453,0.2607644,0.2437703,0.22832759,0.21683966,0.20950468,0.20346339,0.1960753,0.1862896,0.1762235,0.16978307,0.16914354,0.1734067,0.1787941,0.18181002,0.17931367,0.16913702,0.15024512,0.12488673,0.09874076,0.07909124,0.07228648,0.080651306,0.10158738,0.12717383,0.14984536,0.16736066,0.18641357,0.21568124,0.2572689,0.30127108,0.33276844,0.34258702,0.33312643,0.31383422,0.29288462,0.27391347,0.25747207,0.243779,0.23265648,0.223085,0.2139294,0.20491636,0.19686751,0.19088824,0.1878915,0.18936156,0.19639318,0.20874077,0.22244048,0.23206401,0.23401429,0.230335,0.22688407,0.22857799,0.23513179,0.24203217,0.24538513,0.24523413,0.24494666,0.24686544,0.25050768,0.25296512,0.25258848,0.25068036,0.2513577,0.25798273,0.27011704,0.2829078,0.28984463,0.28556308,0.26779765,0.23910548,0.20782523,0.18546176,0.17860337,0.18387784,0.19024102,0.19054998,0.18701752,0.18905349,0.2017352,0.22203016,0.24065797,0.25089616,0.2512096,0.24418639,0.23192821,0.21489072,0.19300526,0.16845231,0.14599647,0.13238263,0.13243288,0.14684822,0.16962944,0.19201297,0.20662153,0.21271431,0.214456,0.21738629,0.22365974,0.2314312,0.23668997,0.23620802,0.22921497,0.21634506,0.19837458,0.17534487,0.14840525,0.12101079,0.099144496,0.08884985,0.09249929,0.106610514,0.12229248,0.13081759,0.12871581,0.12096495,0.11764344,0.12711667,0.14989258,0.1774167,0.19918363,0.20984536,0.21270184,0.21403132,0.2173444,0.22101523,0.22193758,0.2199104,0.21922725,0.2258516,0.24247907,0.26510885,0.28507814,0.29429117,0.2902877,0.27637133,0.25816506,0.24003528,0.22321552,0.2078286,0.19360204,0.18171059,0.172213,0.16480784,0.15753092,0.14971675,0.14130232,0.13423507,0.13082887,0.13316393,0.14063615,0.1492704,0.15384907,0.15151452,0.14397375,0.13519017,0.12787499,0.121560626,0.11434308,0.10578069,0.09812058,0.09499087,0.09800894,0.105205595,0.11146543,0.11263678,0.10769703,0.099098004,0.089546174,0.08029964,0.071410686,0.06391452,0.06159972,0.06989006,0.0923978,0.12605782,0.16062963,0.18315299,0.18602234,0.17101024,0.14804398,0.12977278,0.12638333,0.1413309,0.16913478,0.19799495,0.21645944,0.22098942,0.21639745,0.21133077,0.21094649,0.21530068,0.22010513,0.22157872,0.21793576,0.21117663,0.20421441,0.20008785,0.19947834,0.20169313,0.20454518,0.20676506,0.20846923,0.21168162,0.21760803,0.22618955,0.23547298,0.24418728,0.25086114,0.2548603,0.2551898,0.2524794,0.24766517,0.24201138,0.23640616,0.23191468,0.22964148,0.22848584,0.22639768,0.22157198,0.21566851,0.2111172,0.20871891,0.20607185,0.20036624,0.19089748,0.17907155,0.16638477,0.15342613,0.1404515,0.12842636,0.11897687,0.11494806,0.12127342,0.14352,0.18278022,0.23114438,0.27438045,0.30054322,0.3063185,0.29611194,0.2766131,0.25354257,0.23079984,0.21067362,0.19339518,0.17787491,0.16308063,0.14927746,0.13756008,0.1287477,0.12229389,0.11678791,0.11089312,0.10450664,0.098340034,0.09323283,0.089110285,0.08537518,0.0817859,0.08003599,0.0836727,0.096410535,0.11874456,0.14668697,0.17334153,0.19309543,0.20414174,0.20831408,0.20881058,0.20780428,0.20530993,0.19873238,0.1855139,0.16614965,0.14722951,0.13750887,0.14188765,0.15540548,0.16643278,0.16372131,0.14411004,0.11300186,0.08067678,0.057479385,0.051999707,0.070531696,0.11409102,0.17535083,0.23852806,0.28765544,0.31414843,0.32026187,0.31335923,0.30048332,0.28498742,0.2677738,0.24901439,0.22943895,0.21049835,0.19353552,0.17925109,0.16739903,0.15724666,0.1478699,0.13868584,0.12983212,0.12200776,0.11580584,0.1111312,0.10755991,0.104857095,0.10328374,0.10348618,0.10705186,0.115869425,0.13096918,0.14955698,0.16564424,0.17205906,0.16559201,0.14890212,0.13030185,0.1191046,0.120452344,0.13240789,0.14796454,0.16020095,0.16594063,0.16584235,0.16236842,0.15819387,0.15567893,0.15605614,0.15888523,0.16248132,0.16641574,0.17327787,0.18806793,0.21346152,0.24638213,0.27756545,0.29744193,0.30044138,0.2876899,0.26414156,0.23663454,0.21092731,0.19063173,0.1760373,0.16523953,0.15589373,0.14692144,0.13850866,0.13119839,0.12513115,0.11991728,0.1151945,0.11079052,0.1067624,0.10308208,0.099645056,0.09649684,0.093891524,0.09213347,0.091119744,0.09027175,0.08890518,0.08678258,0.08435901,0.08237386,0.08128711,0.080989085,0.08104842,0.081062764,0.08079285,0.08003247,0.07866413,0.076751016,0.07470729,0.07295314,0.07164335,0.07044541,0.06895178,0.067014776,0.06489391,0.0628902,0.06103322,0.05909962,0.056861747,0.054357126,0.051719785,0.0490718,0.046400264,0.043749716,0.04128919,0.039163057,0.037380993,0.035715774,0.03402422,0.03232138,0.03081957,0.029657098,0.028791076,0.028107295,0.027581064,0.027361378,0.027589561,0.028256468,0.029174285,0.030112619,0.030982278,0.031876933,0.032999665,0.03445639,0.036152486,0.037841555,0.039288174,0.04041247,0.041261595,0.04195523,0.042518992,0.042905793,0.042965677,0.042651903,0.042003185,0.041209463,0.040431168,0.039772693,0.03925212,0.038842067,0.03857032,0.038437262,0.038487513,0.038663346,0.03892699,0.03924066,0.03968635,0.040409878,0.04146013,0.04269013,0.043766662,0.044408545,0.04453965,0.044286028,0.043881815,0.043513212,0.04330353,0.043287326,0.043425437,0.043684613,0.04399924,0.044404794,0.04489549,0.045504626,0.04619701,0.046941668,0.047749873,0.04862684,0.04965364,0.05085869,0.052304793,0.053971644,0.055771213,0.05758546,0.059315354,0.061015595,0.06281919,0.06487746,0.06725651,0.06988918,0.07266148,0.075413875,0.07804006,0.0804784,0.08269072,0.084643155,0.08631215,0.08774825,0.08909601,0.090468735,0.09198561,0.093671046,0.09557917,0.09768996,0.0999865,0.10245817,0.10506185,0.10771073,0.11020786,0.112424634,0.11436459,0.116227545,0.118229754,0.12046043,0.12280854,0.12509276,0.12716396,0.12895773,0.13046719,0.13172303,0.1328158,0.13380128,0.13470967,0.13547246,0.13604271,0.13635547,0.1363706,0.13603103,0.1353517,0.13444073,0.13348787,0.13265999,0.13213386,0.13209629,0.1327501,0.13410597,0.13597053,0.13806947,0.14032508,0.14280625,0.14551204,0.14814818,0.15036161,0.15201403,0.15332715,0.15453441,0.155634,0.15636767,0.15650852,0.15601134,0.1549704,0.15351343,0.15180449,0.15004887,0.14847685,0.14720203,0.14620239,0.14530168,0.1442833,0.1429619,0.14121625,0.13894914,0.13586223,0.1311633,0.123581015,0.11221198,0.09821824,0.08550713,0.0792527]