[0.023949526,0.023580149,0.02293612,0.022467805,0.022475189,0.022881284,0.023372814,0.023600036,0.023369178,0.022609668,0.021311583,0.019451668,0.01713924,0.014713398,0.01304892,0.013241246,0.016840475,0.025189644,0.0402486,0.06372034,0.097402014,0.14050834,0.18926495,0.23622131,0.2740266,0.29737142,0.30422783,0.29333004,0.26490557,0.2223195,0.17488419,0.13421084,0.10975033,0.105202116,0.12020565,0.15109825,0.19040704,0.22748692,0.25315765,0.26456624,0.2651135,0.2600813,0.25361443,0.2484086,0.24614592,0.24594073,0.24366194,0.23483612,0.21928991,0.20377356,0.19793928,0.20833862,0.23327084,0.2648985,0.29364315,0.31326672,0.32070488,0.31469277,0.2938168,0.25846484,0.21337645,0.16929181,0.1396799,0.13360122,0.14963914,0.17484683,0.19274454,0.19342373,0.18055813,0.16819657,0.16953379,0.18768965,0.2132324,0.23436612,0.244641,0.24695314,0.24650924,0.24658643,0.24768947,0.25020394,0.25496385,0.2607704,0.26535043,0.26668802,0.26538718,0.26204142,0.25652996,0.24764913,0.23584716,0.22265832,0.21018201,0.19909747,0.18910612,0.1791548,0.1686336,0.15825026,0.15075593,0.14978988,0.15739286,0.17128885,0.18584257,0.19512469,0.19693638,0.19283138,0.18629248,0.1798696,0.17464869,0.17052346,0.1671757,0.1643313,0.16199632,0.16036981,0.16057467,0.16506796,0.17757215,0.19970661,0.22867297,0.25626054,0.27377272,0.27504817,0.25884533,0.2274986,0.18697469,0.14551437,0.110417545,0.08515819,0.06882208,0.05904628,0.05359304,0.051315676,0.052064728,0.057776857,0.07039992,0.09015139,0.11266631,0.13266312,0.14560623,0.15109323,0.15000367,0.14455098,0.1363743,0.1275761,0.11965714,0.11349094,0.109056294,0.105855875,0.103512794,0.10164634,0.10017144,0.0987841,0.097329676,0.09529541,0.09243845,0.08864959,0.0845274,0.08065191,0.07744656,0.074745625,0.07239074,0.07052275,0.06962792,0.07012328,0.07154927,0.07290083,0.07385863,0.077777,0.092521004,0.12694246,0.18297191,0.25080067,0.31299254,0.35555437,0.37483492,0.37571976,0.36370984,0.3418453,0.3111001,0.27452695,0.23740973,0.20819837,0.19447826,0.19942857,0.21653469,0.2318154,0.2314073,0.21068726,0.17712195,0.1435625,0.120436855,0.111274146,0.11659035,0.1371652,0.17319019,0.21971877,0.2653633,0.29872125,0.3147209,0.31690088,0.31176677,0.3043975,0.2958592,0.2849141,0.26968578,0.25085315,0.23239456,0.22037058,0.21842396,0.22647792,0.241488,0.26071355,0.2817669,0.30241325,0.31935212,0.32945403,0.33043388,0.32284215,0.30968532,0.29531828,0.28193906,0.26908708,0.25596023,0.24464035,0.23946144,0.24260266,0.25188676,0.26259458,0.2717731,0.27978423,0.28812388,0.29688033,0.30321953,0.30445254,0.3007718,0.29705027,0.29909554,0.3089844,0.32340512,0.33599785,0.34226176,0.3400642,0.3294581,0.3099797,0.28223395,0.24810345,0.2121507,0.17917229,0.15302485,0.13473038,0.12352344,0.11796107,0.118041895,0.12582801,0.14397119,0.17252238,0.20638518,0.23699175,0.25756392,0.26781186,0.27308992,0.27913907,0.28746444,0.2962296,0.30297437,0.30661407,0.30631194,0.30103648,0.28991768,0.27195093,0.24688822,0.21548198,0.18170719,0.15054084,0.12592146,0.10903427,0.10053485,0.102946736,0.118520536,0.14593364,0.1769148,0.20116176,0.21134575,0.20778842,0.19500001,0.17774339,0.15886122,0.14148054,0.13180773,0.13618197,0.15662163,0.18584354,0.21241157,0.2267483,0.22778393,0.21990263,0.20915878,0.19887249,0.19006674,0.18242331,0.17559929,0.1694241,0.16368054,0.15833627,0.1539873,0.15281807,0.15687414,0.16649525,0.17800201,0.186983,0.19007017,0.18746577,0.17881025,0.16334821,0.13976346,0.1114293,0.08448733,0.06566814,0.05649479,0.054541815,0.055210546,0.056557547,0.05984527,0.0697439,0.08904418,0.11618527,0.14294094,0.16135466,0.16740084,0.16448765,0.15790768,0.1520915,0.14804007,0.14528239,0.1427619,0.13967256,0.13564774,0.13082929,0.12590511,0.121845655,0.11988965,0.12191389,0.13008396,0.14688994,0.17300437,0.20706196,0.24477391,0.28204075,0.31676307,0.34879768,0.3768487,0.395474,0.39921775,0.38818285,0.37105235,0.3569642,0.34637988,0.33150455,0.3074861,0.2824858,0.2705928,0.2788812,0.29870042,0.3170909,0.3269597,0.33261117,0.33924755,0.348189,0.3547608,0.35472202,0.3458127,0.32993123,0.311311,0.29596207,0.2872727,0.2851542,0.28645727,0.289259,0.2933674,0.29930532,0.30589917,0.31100953,0.3124665,0.3088419,0.29822186,0.27926898,0.25282428,0.22401612,0.19880986,0.18053533,0.1669318,0.1545461,0.14084567,0.12638736,0.11213703,0.101452254,0.10026372,0.115569405,0.1488883,0.19208837,0.23094241,0.25295314,0.2555815,0.2451211,0.23204274,0.22165316,0.21375722,0.20587547,0.20183726,0.20955683,0.23357363,0.2659084,0.28994915,0.29145685,0.26916298,0.23451747,0.20606919,0.2001959,0.22501528,0.2742257,0.3299519,0.37048534,0.38199675,0.36385593,0.32733583,0.29048386,0.2692722,0.27130866,0.29161417,0.31947866,0.3455679,0.36842498,0.39028883,0.4136407,0.43724337,0.458519,0.47415647,0.48100325,0.47520924,0.452801,0.41409323,0.3660141,0.3222245,0.2935878,0.2829059,0.28354883,0.288018,0.2922883,0.29659584,0.30158445,0.30693057,0.31147584,0.31412613,0.31437573,0.31239346,0.3089311,0.30452752,0.29945698,0.29367563,0.28826475,0.2857531,0.29060307,0.30504942,0.32627895,0.344746,0.35151324,0.34393486,0.32860395,0.31455937,0.3075639,0.3065833,0.3069428,0.30439666,0.29851207,0.2922128,0.28869227,0.2900337,0.29936075,0.32522774,0.37765816,0.45664883,0.54093045,0.59695715,0.6009523,0.5587123,0.49741125,0.4455265,0.41361392,0.39822933,0.39006302,0.38423276,0.37880048,0.37435147,0.37073436,0.36918044,0.37386033,0.39393875,0.4372338,0.4995124,0.55879235,0.5861304,0.567691,0.51435757,0.45070323,0.39137268,0.33388004,0.2694537,0.19952817,0.13812156,0.101722695,0.098472,0.1252516,0.17241932,0.23230167,0.30510792,0.3946543,0.49485135,0.57920486,0.6137746,0.5816021,0.50127083,0.41100088,0.34431258,0.3095391,0.29834804,0.2971764,0.29887423,0.30062523,0.3021027,0.3028723,0.30310455,0.30324265,0.30365074,0.30409852,0.30433974,0.30433926,0.30435494,0.30482697,0.30705592,0.31327912,0.3252685,0.34219304,0.35964522,0.37204126,0.375785,0.3724219,0.36706492,0.36545083,0.36980447,0.37821737,0.3861678,0.38691914,0.37428927,0.34344414,0.29749587,0.24531968,0.20040095,0.17244394,0.16603811,0.17775996,0.1979249,0.21428071,0.21987648,0.2181009,0.21886577,0.22936173,0.24796939,0.2679721,0.28430763,0.29717925,0.3085756,0.3193096,0.33016685,0.34666252,0.3810977,0.44254756,0.5252051,0.6016447,0.64057964,0.6269918,0.57459885,0.5114899,0.46101558,0.4300408,0.4133176,0.40383518,0.39933917,0.4025104,0.41564378,0.43614855,0.45773754,0.4757221,0.4937532,0.5174522,0.54742855,0.5694184,0.5676996,0.53568786,0.4873782,0.4420351,0.41167292,0.3921205,0.37535882,0.35944334,0.3513815,0.3568659,0.37338734,0.39165142,0.40572533,0.42025363,0.4491972,0.50088006,0.56574136,0.6144927,0.62118405,0.5818631,0.5206594,0.46769497,0.44083402,0.437471,0.44509816,0.4524816,0.45571867,0.45656958,0.45668373,0.4553417,0.45005667,0.44135594,0.43319082,0.4310288,0.43647182,0.44618544,0.4532818,0.4526005,0.443333,0.43002,0.41862836,0.41339412,0.41438055,0.42009506,0.42910627,0.44051325,0.4505807,0.4535433,0.44464913,0.4251695,0.3993356,0.36950502,0.33334255,0.29057136,0.24900265,0.22173142,0.21664222,0.22782762,0.23996799,0.23799686,0.21763784,0.18643455,0.15957491,0.1504822,0.16331922,0.19109994,0.22058831,0.24045604,0.24566568,0.23729962,0.21884327,0.19618689,0.18060206,0.19214065,0.24921457,0.35060033,0.46178702,0.5325454,0.5299977,0.46384966,0.37319914,0.29696897,0.2503951,0.22901197,0.22097729,0.21839003,0.21710443,0.21576987,0.21345638,0.21202119,0.21826898,0.24604881,0.3074009,0.39863667,0.49083665,0.54525113,0.5402411,0.4885445,0.420738,0.35885945,0.30195254,0.2413197,0.17666702,0.12267388,0.09715802,0.11085013,0.16017078,0.23086548,0.30697942,0.38313404,0.46218792,0.541506,0.5990607,0.6058803,0.55070764,0.45483232,0.3561528,0.28316393,0.24171884,0.22234888,0.21390532,0.2099877,0.20832843,0.20750886,0.20626478,0.20370145,0.20017315,0.19673593,0.19439244,0.19324893,0.19270541,0.19199608,0.19079453,0.18914187,0.18710123,0.18450834,0.18124254,0.17755991,0.17408748,0.1714145,0.16984509,0.1692819,0.16978209,0.17306322,0.18285216,0.20352803,0.2331243,0.26350868,0.28238225,0.28692117,0.28200942,0.27866814,0.27938315,0.27971748,0.26939154,0.24407662,0.20942444,0.18124186,0.1760781,0.19768363,0.23228605,0.255139,0.25152248,0.22788365,0.20757735,0.20817249,0.22667222,0.24326734,0.23968829,0.21376203,0.17888804,0.1552332,0.15750438,0.18888904,0.23886842,0.28960004,0.32315823,0.32864884,0.30606976,0.26822692,0.23733278,0.2317283,0.25240064,0.27991083,0.29013225,0.27206433,0.2357492,0.2026857,0.19252564,0.21227781,0.25551963,0.30671123,0.35119286,0.38173425,0.40003332,0.41027436,0.4140923,0.40941015,0.39416623,0.3681763,0.33305883,0.2914662,0.2477616,0.20852135,0.1797194,0.16410619,0.1588523,0.15934741,0.16111852,0.16318184,0.16621035,0.17302401,0.18734185,0.2117339,0.24508454,0.28019974,0.308974,0.32524177,0.3286517,0.3200879,0.30113477,0.2730532,0.24029462,0.20980072,0.18898381,0.18075405,0.18153878,0.18242534,0.17553379,0.15909016,0.13858011,0.1211989,0.11049647,0.104852565,0.1013573,0.100259535,0.10604795,0.12405529,0.15506099,0.19284208,0.227035,0.25035468,0.26247224,0.26811266,0.2692726,0.26214096,0.24094318,0.20687674,0.17114995,0.14744188,0.14152737,0.14835088,0.16139449,0.1821981,0.21802296,0.2709891,0.32922503,0.37401822,0.39112887,0.3799747,0.350875,0.3182372,0.29546604,0.2926632,0.31912518,0.37836862,0.46218935,0.5435596,0.59059983,0.58597136,0.5425723,0.48931888,0.45201457,0.43740442,0.43976438,0.447974,0.45357576,0.45195112,0.44374862,0.43315172,0.4254183,0.42639068,0.44426632,0.48539755,0.5462044,0.6053769,0.63662237,0.62486213,0.58042127,0.5234707,0.47004637,0.4192227,0.36631715,0.31011057,0.26077247,0.23236649,0.23623121,0.2712071,0.32327446,0.37468374,0.41950884,0.46462393,0.517721,0.5685975,0.5955747,0.58182734,0.5343861,0.47651312,0.43131936,0.40675995,0.39681903,0.3921174,0.3877003,0.38535893,0.38827527,0.39763534,0.41039875,0.42164433,0.42720512,0.42621085,0.42077443,0.41413024,0.4085531,0.40562263,0.40728506,0.41554382,0.4305394,0.4481714,0.46158054,0.46359077,0.45131448,0.42715827,0.3980132,0.37117735,0.35160434,0.3416107,0.341265,0.34695056,0.351101,0.3451256,0.32733992,0.30366674,0.28372905,0.270762,0.26037392,0.24427141,0.21917337,0.19040261,0.16941158,0.16632734,0.18318935,0.21317203,0.24481036,0.2696431,0.28633368,0.30025485,0.31784916,0.34105775,0.36842313,0.3984488,0.43598476,0.48338807,0.53647995,0.5756562,0.5838129,0.5547557,0.50556844,0.45945346,0.4338232,0.42822066,0.43162152,0.433054,0.42841044,0.42055774,0.41252622,0.406961,0.4063625,0.41782773,0.44885996,0.49910855,0.5538694,0.58976656,0.5921003,0.56361765,0.52024287,0.47470093,0.4306822,0.38721284,0.34699333,0.31682146,0.30200872,0.30238786,0.31306854,0.3286234,0.34743437,0.37342206,0.41351792,0.4689096,0.5294333,0.5747909,0.58934426,0.5714783,0.5361935,0.50106865,0.47694072,0.46301708,0.45422673,0.447668,0.44498786,0.44941318,0.4607298,0.47514603,0.48617482,0.48920038,0.48278204,0.47035074,0.45709682,0.44732395,0.44182512,0.43956625,0.4395354,0.44178057,0.44620737,0.45196056,0.4575568,0.4613135,0.4617802,0.45791396,0.45008278,0.44012395,0.43153724,0.42846224,0.43376854,0.44703117,0.4633368,0.47625342,0.480878,0.47653222,0.46495804,0.44826448,0.42738912,0.40250906,0.37378833,0.34162498,0.30793545,0.27646348,0.25241658,0.23825616,0.23228173,0.22937979,0.22659343,0.22442009,0.22463618,0.22781496,0.2360745,0.26034924,0.31463793,0.4020584,0.49880347,0.5673105,0.58137894,0.54690284,0.49080217,0.43888167,0.4016209,0.37785283,0.36386612,0.35716438,0.3563237,0.359827,0.36634532,0.3758832,0.39104638,0.41879368,0.46351597,0.5201471,0.56753606,0.583324,0.5582467,0.50747997,0.45433465,0.41523734,0.38842916,0.36506498,0.33861247,0.31268117,0.2956556,0.29467008,0.30978394,0.33589676,0.36957908,0.41382363,0.47193933,0.53523415,0.57854533,0.5764375,0.5239416,0.44328284,0.3659482,0.31199813,0.28284526,0.27105263,0.2706245,0.28042722,0.2995106,0.32435608,0.34768844,0.36297056,0.36642346,0.3595803,0.34630954,0.33108783,0.31598637,0.30152902,0.28814885,0.27812746,0.27500638,0.28041312,0.29224882,0.30518356,0.31527674,0.32252058,0.33129585,0.3452121,0.36394584,0.3821216,0.39519045,0.40244746,0.40682885,0.40928626,0.40631723,0.3930395,0.36792055,0.33664402,0.30870786,0.29297563,0.2907727,0.29566363,0.29673794,0.28729776,0.2695292,0.254287,0.25240603,0.2674125,0.29329726,0.3222139,0.3510377,0.38220584,0.41719353,0.4537257,0.48883966,0.52391773,0.56098443,0.5958801,0.61438864,0.60354614,0.5617812,0.5045261,0.4516023,0.41701624,0.40159473,0.39882588,0.400929,0.4039385,0.40839458,0.41653576,0.43034303,0.45027998,0.47767088,0.51375276,0.55391556,0.58473116,0.5901483,0.5672731,0.52953875,0.49529025,0.4697448,0.44345653,0.4049805,0.35342327,0.29956904,0.25815633,0.24122022,0.25361872,0.29221365,0.34787098,0.41130367,0.47560596,0.53239053,0.5680604,0.5689268,0.5347621,0.48279428,0.43801987,0.41647425,0.41950345,0.43865204,0.46341586,0.4850751,0.49780932,0.49940118,0.49134883,0.47779116,0.46537125,0.46149352,0.47094187,0.489213,0.5043275,0.5046321,0.4928111,0.48441693,0.49823704,0.53818494,0.5900947,0.62812966,0.6320949,0.5987036,0.5433256,0.48919895,0.45340693,0.43946746,0.43893278,0.44027078,0.43384838,0.41707182,0.39369762,0.37530914,0.37500548,0.4021434,0.45459723,0.51700586,0.56390256,0.5713237,0.53131014,0.45904446,0.38532582,0.3402129,0.33717895,0.37023386,0.41880456,0.4629366,0.49123546,0.50515205,0.5105397,0.51270884,0.51134473,0.50281125,0.48141095,0.44547406,0.39940047,0.35478508,0.321758,0.30460516,0.29871592,0.29749438,0.29556528,0.29158756,0.28578067,0.2798938,0.27662382,0.2798824,0.29135117,0.30813208,0.32221285,0.3264611,0.3193335,0.30638954,0.29485714,0.28855672,0.28590313,0.28276947,0.27729675,0.27169204,0.27070987,0.27629435,0.28610656,0.29506382,0.30008742,0.30143616,0.30155465,0.3029659,0.3069681,0.31387234,0.32237837,0.32981265,0.3312969,0.32153162,0.29735708,0.26147786,0.22206877,0.18855439,0.16616936,0.15416507,0.14840503,0.14500739,0.14200759,0.13911049,0.13651046,0.1348054,0.13441688,0.13574873,0.13849407,0.14192486,0.14504035,0.14709802,0.1478203,0.14721394,0.14562295,0.1434385,0.14117807,0.13904573,0.13711725,0.13528617,0.13352321,0.13152583,0.12909566,0.12744464,0.13106991,0.1474312,0.18221052,0.23280527,0.2852297,0.31974864,0.3233106,0.29992306,0.27130553,0.2612983,0.27931288,0.3107958,0.33231103,0.32903275,0.3083433,0.2881128,0.28285798,0.29149744,0.30432507,0.31067133,0.30668983,0.29115748,0.26471636,0.2285284,0.18996195,0.16064925,0.15364997,0.17603879,0.22595866,0.2923465,0.35725105,0.40329245,0.41927245,0.40707198,0.37766683,0.34653485,0.3236884,0.31341136,0.31479973,0.32697558,0.34658852,0.3671112,0.378763,0.37558496,0.35862985,0.334728,0.3102286,0.28806207,0.2701118,0.26016083,0.26504567,0.28698632,0.31894293,0.3421556,0.34020242,0.30989406,0.26776788,0.23494703,0.22344942,0.22806664,0.23742624,0.24385299,0.24883461,0.25616884,0.2671769,0.2788283,0.28758335,0.29163304,0.28975508,0.28019607,0.26059476,0.2328164,0.2047348,0.18900967,0.19754362,0.23409851,0.2924284,0.35577056,0.4073697,0.43578473,0.44105878,0.4279463,0.40236488,0.36666167,0.32371593,0.27927205,0.24504833,0.23186912,0.24335833,0.26909062,0.29280615,0.30110595,0.29333684,0.2770824,0.2628683,0.2567262,0.26060033,0.27319947,0.2923325,0.31475708,0.33667693,0.3544174,0.36642945,0.37311706,0.3760806,0.3754184,0.36975965,0.35761583,0.34015003,0.3224877,0.31036523,0.30712798,0.30989322,0.31286013,0.30913112,0.29538557,0.27132744,0.24073267,0.2088375,0.18310289,0.17151536,0.18314882,0.22064972,0.27716175,0.33336285,0.3698455,0.37467882,0.35114834,0.31053397,0.26687047,0.22900547,0.20030989,0.17998552,0.16773982,0.16563426,0.1762287,0.19817884,0.22473264,0.24678104,0.25878856,0.26110104,0.25841364,0.2555215,0.25597784,0.26241252,0.2769594,0.29940388,0.32608485,0.35089412,0.36828122,0.3735812,0.36265922,0.33262217,0.28628695,0.23463722,0.19304581,0.1732711,0.17741485,0.19880854,0.22644031,0.24954389,0.26046616,0.25730652,0.24507405,0.23310721,0.2282611,0.22958763,0.22921228,0.21955554,0.19944195,0.17432861,0.15118921,0.13398938,0.1226646,0.11522523,0.10973821,0.10525277,0.10142226,0.098226786,0.09572028,0.094014786,0.09300965,0.092273384,0.09128893,0.09087541,0.09479771,0.110173635,0.14293377,0.19173299,0.2446872,0.28620005,0.3066921,0.30806795,0.29865178,0.28588486,0.27264667,0.2601949,0.25132474,0.25308278,0.27185056,0.3097849,0.35753512,0.40175366,0.43004167,0.44185665,0.44181073,0.4361701,0.42540002,0.40896723,0.38686824,0.36094987,0.33111867,0.29600823,0.25573072,0.21580099,0.18557769,0.17560571,0.19278312,0.23774974,0.3015016,0.36824968,0.42162418,0.45316088,0.46320143,0.45735702,0.44046235,0.41509196,0.38195634,0.34337202,0.30528906,0.27706072,0.2655766,0.270072,0.28242835,0.2938526,0.3002139,0.30087924,0.2953095,0.28192702,0.2627766,0.24499995,0.24051602,0.25714222,0.29498592,0.34223744,0.38442042,0.40998486,0.41821703,0.41400537,0.40433976,0.39247403,0.37949595,0.36407185,0.34471393,0.31966355,0.28921494,0.25609526,0.22666638,0.21003102,0.21503855,0.24425717,0.28928074,0.33310816,0.35947385,0.36197606,0.34550107,0.3203185,0.2946795,0.2731782,0.25873688,0.25683805,0.27231398,0.3051336,0.34446633,0.37408078,0.3799876,0.36089838,0.32746732,0.29628256,0.27865925,0.2770147,0.28746614,0.3061321,0.3308066,0.35878348,0.38566256,0.40687487,0.41988346,0.42407057,0.4196042,0.40687057,0.38639235,0.3591942,0.3275615,0.2955265,0.26770467,0.24612947,0.22829838,0.20936759,0.18724006,0.16671853,0.15664534,0.16338019,0.18466048,0.21172126,0.23575597,0.2534582,0.26616588,0.2762765,0.2855517,0.29647562,0.3123158,0.3348479,0.36132553,0.38582215,0.40285227,0.41066146,0.4104427,0.40397397,0.39294052,0.37960806,0.36757207,0.35913554,0.35422602,0.3503683,0.34622478,0.3421053,0.33935323,0.33766058,0.33496198,0.32875952,0.31827915,0.3055332,0.29400966,0.28694353,0.2859105,0.29159513,0.30417752,0.3225161,0.342733,0.35825953,0.36314175,0.35512936,0.33752957,0.3164678,0.2978536,0.2844993,0.27661255,0.2728105,0.27104172,0.2690371,0.26494873,0.25876355,0.25224593,0.2480369,0.24766488,0.25096336,0.25617108,0.26112247,0.26401463,0.26415265,0.26201472,0.25907883,0.25724247,0.25795737,0.2618314,0.26825497,0.27610683,0.28407732,0.29167315,0.29921106,0.30768242,0.31809196,0.33077767,0.34492493,0.35770676,0.36500812,0.36308607,0.3513405,0.33228835,0.30978933,0.2862403,0.2630473,0.24195342,0.22600628,0.2173454,0.21527399,0.2164837,0.21757364,0.21735978,0.21647014,0.21607429,0.21649899,0.21797615,0.22129627,0.22798713,0.23861094,0.25118777,0.2610813,0.26332656,0.25535664,0.23823296,0.21561359,0.19189306,0.17261575,0.16699468,0.19038989,0.25717756,0.36611757,0.48935357,0.58335394,0.6173783,0.5938547,0.54294777,0.4963366,0.46986958,0.4617095,0.46397984,0.4685425,0.4706662,0.46803197,0.4623092,0.45794097,0.46157762,0.48049083,0.5181493,0.5689439,0.6151814,0.63719106,0.62542766,0.5878833,0.53931266,0.49111947,0.44622958,0.40785143,0.3805009,0.3677766,0.36481014,0.3631967,0.35667017,0.34826496,0.34772846,0.37023613,0.42500934,0.5068088,0.58735394,0.6336975,0.62807167,0.58464944,0.5317058,0.49296394,0.47194275,0.46191075,0.45468032,0.44896433,0.4469547,0.45147312,0.4628609,0.4792314,0.49718615,0.5125707,0.5210019,0.52035975,0.5106501,0.49698326,0.4870206,0.49414206,0.5264823,0.5798495,0.6295438,0.6471939,0.62057495,0.5632224,0.50173295,0.4546796,0.42699572,0.41304624,0.4078205,0.40709996,0.4076016,0.40439317,0.3934163,0.37468043,0.35251117,0.33412054,0.32582986,0.33167794,0.35069767,0.37620807,0.39813915,0.409986,0.41287485,0.41409397,0.41904584,0.4279274,0.43579492,0.43894434,0.4367218,0.43231282,0.4290998,0.43101653,0.44292656,0.4716681,0.5184589,0.5728784,0.6126893,0.61972326,0.59267026,0.5482551,0.5067765,0.47949436,0.4667566,0.46326563,0.46454105,0.46764156,0.47197437,0.47668967,0.48246002,0.49096313,0.5080239,0.5386951,0.58189803,0.6232832,0.6427231,0.6268563,0.58191305,0.5260687,0.47692963,0.43855622,0.40743354,0.37925294,0.3551964,0.33824563,0.33021757,0.33097443,0.33973157,0.35761294,0.38810948,0.43593386,0.49975696,0.56701404,0.61609393,0.6307439,0.6115589,0.5751217,0.5403051,0.5168836,0.50493366,0.5002565,0.4994534,0.4994969,0.49854264,0.4959475,0.49400675,0.49617842,0.5051294,0.5208187,0.5393614,0.55500174,0.5616661,0.5591982,0.553871,0.5573943,0.57520014,0.6015019,0.618335,0.6108049,0.5751345,0.5239189,0.4735397,0.43668044,0.41549325,0.40678415,0.4067322,0.4112796,0.41448328,0.40634218,0.38093367,0.3404043,0.2961698,0.2603982,0.24043374,0.2367159,0.24448657,0.25679195,0.2674757,0.27453458,0.28058374,0.29012075,0.30518672,0.32322,0.33896437,0.34833837,0.35091087,0.3490454,0.34737757,0.3533199,0.37891853,0.43340054,0.5122323,0.5881619,0.6251302,0.6016708,0.52958614,0.44366944,0.3781006,0.34671733,0.34370008,0.35470405,0.36715558,0.3742547,0.37481174,0.3726792,0.37492418,0.38979873,0.42409822,0.47803465,0.541243,0.5914238,0.60761267,0.5830194,0.5333575,0.48088047,0.44042888,0.4096801,0.38248977,0.35582128,0.33508503,0.32485628,0.32728803,0.33918214,0.35744262,0.3809904,0.4151962,0.46494386,0.5267401,0.5806182,0.60240287,0.57981247,0.5248452,0.46351516,0.4189042,0.3987867,0.3973824,0.40468812,0.41343606,0.42162725,0.42985526,0.4392449,0.45043817,0.46452472,0.48382112,0.5080076,0.531071,0.53977937,0.5261444,0.49711338,0.4787219,0.4937409,0.5425942,0.59428287,0.61311203,0.5828993,0.5196779,0.45165607,0.40033016,0.36993992,0.3558397,0.35211897,0.35569167,0.3623556,0.36619774,0.36086762,0.34634396,0.32909378,0.31992474,0.3260567,0.34842804,0.37997535,0.41010234,0.42918786,0.43457568,0.42990825,0.42153832,0.41289592,0.4045433,0.3960326,0.388728,0.3846979,0.3855549,0.39085105,0.40120998,0.42057672,0.45775566,0.51695466,0.5889624,0.6474044,0.66530186,0.63335603,0.5688482,0.5009827,0.4519836,0.4262445,0.41616002,0.41182914,0.4077748,0.40311626,0.399609,0.40033412,0.40890095,0.4308927,0.47148982,0.5306479,0.59506965,0.64031523,0.6445737,0.60519195,0.54125565,0.4784783,0.43271777,0.4051551,0.38976622,0.3813261,0.3775138,0.37826025,0.38432112,0.39770797,0.4206685,0.45568085,0.5028756,0.55696565,0.60450596,0.6280853,0.6170559,0.57572126,0.5219173,0.4745346,0.44427708,0.43122378,0.4301536,0.4345021,0.43841556,0.43869302,0.43512103,0.4309868,0.4305416,0.43941614,0.4622828,0.4996142,0.54187995,0.5727714,0.5800452,0.569518,0.5616526,0.57528144,0.60702044,0.6331467,0.6274493,0.5829377,0.51492286,0.4481317,0.40075186,0.37752315,0.3735464,0.38070095,0.3910637,0.39833066,0.39832202,0.3927954,0.38956448,0.40135384,0.4366125,0.49225116,0.54865485,0.58106214,0.5745502,0.5369372,0.4901158,0.45523712,0.43910882,0.43681923,0.4393005,0.44051072,0.43923518,0.4375006,0.43880925,0.4457384,0.4607265,0.4865881,0.52492315,0.56964,0.6052382,0.61384255,0.59056115,0.54700184,0.50481266,0.47849795,0.47156212,0.47661495,0.48520747,0.48977435,0.48801133,0.48080978,0.47330177,0.47117957,0.48032823,0.5034824,0.53898007,0.57710487,0.6033435,0.6052604,0.58282655,0.5468738,0.511059,0.4814467,0.45765948,0.43828872,0.4237012,0.41424945,0.40745082,0.40193927,0.39852452,0.40213966,0.41711137,0.4484562,0.49581012,0.5522912,0.5996031,0.6209726,0.6100631,0.57806736,0.5411241,0.51094514,0.4904007,0.47833237,0.47271094,0.47095716,0.47104633,0.47248793,0.47669545,0.48428857,0.49351493,0.50114137,0.50475806,0.50506544,0.50295633,0.5010168,0.5020742,0.51515394,0.5452935,0.5875225,0.61942,0.61872655,0.5798784,0.52058613,0.46672103,0.433566,0.42080522,0.41862538,0.4192706,0.41945562,0.41876093,0.41526303,0.40653786,0.39270428,0.37819982,0.36947098,0.3713498,0.38450754,0.40537402,0.42655754,0.441184,0.44662127,0.44739938,0.4503986,0.45900476,0.47009924,0.47774377,0.47958824,0.47812924,0.47842392,0.48226285,0.48928753,0.4995211,0.51718783,0.54468125,0.5765773,0.5983805,0.597804,0.5749619,0.5423399,0.51441294,0.49780604,0.49129626,0.49033305,0.492026,0.49471393,0.4973826,0.49876142,0.49943623,0.50261766,0.5143733,0.53896075,0.57339925,0.60462683,0.6160993,0.5997812,0.56265134,0.5206886,0.48632243,0.4622858,0.44538495,0.43304685,0.42492056,0.42141378,0.421988,0.42613983,0.43301436,0.44297948,0.4589043,0.48563766,0.52380556,0.5633874,0.5877505,0.58590585,0.56241626,0.5319373,0.5069844,0.49084353,0.48125243,0.47650447,0.47620985,0.47951102,0.4838537,0.48733005,0.48985836,0.4937227,0.501676,0.5152275,0.531972,0.54627544,0.5523282,0.5498647,0.54574853,0.54932183,0.56410223,0.5826163,0.5911463,0.579867,0.5502569,0.5136786,0.48219445,0.46261308,0.4544188,0.45392358,0.45618728,0.45587477,0.4483397,0.43129858,0.40750685,0.38214326,0.36017504,0.34372565,0.33353552,0.3299152,0.33166647,0.3359554,0.33984813,0.34384978,0.35101983,0.36371037,0.38060215,0.39789495,0.41195324,0.42054483,0.42242563,0.4178332,0.4107239,0.41049433,0.4305981,0.47883543,0.5478151,0.61032885,0.63559055,0.60858345,0.5430173,0.46854663,0.41171268,0.3819414,0.37444946,0.37838712,0.3840222,0.38525888,0.381035,0.3746566,0.3728226,0.38315406,0.41388586,0.4670742,0.5333453,0.5876043,0.6053093,0.57792187,0.522484,0.46370208,0.417892,0.384626,0.35899827,0.3387657,0.3268286,0.32471827,0.33160794,0.3444153,0.36142597,0.38479123,0.4219021,0.4772652,0.54322016,0.5947278,0.60690624,0.5712982,0.5065542,0.44032547,0.39385346,0.36986992,0.36146638,0.359861,0.36186135,0.36788544,0.3792192,0.3950236,0.41353992,0.43430325,0.45958054,0.48910046,0.5166165,0.5288425,0.51972425,0.4982083,0.49016476,0.51377916,0.56361395,0.60607153,0.6087727,0.5630478,0.4913458,0.4241381,0.3801007,0.35918486,0.3532965,0.35598722,0.3641845,0.37394023,0.37860966,0.372774,0.35757753,0.34096155,0.33286235,0.33947563,0.36078584,0.3909503,0.42041376,0.44025478,0.44618955,0.43996552,0.4265816,0.410845,0.39615119,0.38482368,0.37845907,0.37753427,0.38089982,0.38743272,0.398455,0.4211457,0.46531764,0.53402203,0.6130364,0.6730768,0.68777394,0.65247005,0.58756596,0.5219265,0.4749801,0.45043638,0.4436059,0.44873762,0.4614701,0.4766345,0.48929647,0.49664626,0.50095,0.5076964,0.5207452,0.53548336,0.5384522,0.5176113,0.47534183,0.43028274,0.4022061,0.39673486,0.40310374,0.40753028,0.40343305,0.3936619,0.38411656,0.3797798,0.382308,0.3913178,0.4066873,0.43230727,0.47294345,0.5273945,0.5799872,0.60840267,0.5976185,0.554279,0.49955976,0.45436835,0.42603126,0.41113773,0.40406504,0.40279785,0.40683424,0.41416308,0.4201832,0.42222807,0.42061532,0.41974393,0.4221684,0.42835796,0.4353684,0.4418141,0.4474372,0.45260713,0.4538631,0.44352242,0.41281536,0.35915866,0.291094,0.2265963,0.18512876,0.17782383,0.20197274,0.24128151,0.27367178,0.28322625,0.27002773,0.25038192,0.2441685,0.26064292,0.29199207,0.32200736,0.33848432,0.34010705,0.3332119,0.32432595,0.3161924,0.3084335,0.30083898,0.2946384,0.29034293,0.28606418,0.27841204,0.2670429,0.25630227,0.25293234,0.26083872,0.27886638,0.30237326,0.3273541,0.35177478,0.3747283,0.39328387,0.40375933,0.40351644,0.39406088,0.37919116,0.3634217,0.3501161,0.34176704,0.34003472,0.34558046,0.35799968,0.3751919,0.39305982,0.40645337,0.41202167,0.41084585,0.40720645,0.4047362,0.40305257,0.39908692,0.39016867,0.37612033,0.35846722,0.3395733,0.32263923,0.3109175,0.30585226,0.3043827,0.30032745,0.2870812,0.2624496,0.22926891,0.19519383,0.16878678,0.15610285,0.15728356,0.16669853,0.1768053,0.18235232,0.18271409,0.17970835,0.17542587,0.17051868,0.16511941,0.15940903,0.1541857,0.15032648,0.14846122,0.14852811,0.14996468,0.15199234,0.15403414,0.15572576,0.15685225,0.15731071,0.157176,0.15655471,0.15541227,0.15357457,0.15099417,0.14877598,0.15020108,0.16086034,0.18395239,0.21444649,0.23777533,0.23969232,0.21960361,0.19402961,0.1861869,0.20843554,0.25570393,0.3097528,0.3536562,0.37948182,0.39029,0.3921437,0.38818836,0.37503517,0.34826574,0.3094665,0.2712994,0.25153267,0.26076797,0.2922363,0.32376313,0.33324337,0.31427428,0.28172448,0.25707534,0.2510796,0.25530288,0.25626725,0.25147313,0.2543598,0.27826115,0.3225927,0.3711957,0.4071842,0.42171434,0.41566464,0.3924979,0.35768127,0.31749883,0.27975494,0.25020906,0.2322309,0.22589134,0.22916342,0.23833454,0.25090432,0.26646116,0.28596914,0.30832756,0.32964805,0.34468758,0.3497344,0.34416285,0.33004466,0.31075624,0.28871354,0.26559713,0.24424899,0.23019075,0.22883661,0.23995574,0.25652325,0.26920357,0.27404687,0.27370882,0.273742,0.2760404,0.27820766,0.27590185,0.26848885,0.25900325,0.25264072,0.25083998,0.25177345,0.25180945,0.25048122,0.24952917,0.25126117,0.25576255,0.26177,0.2676845,0.27256992,0.27504364,0.2723784,0.26033452,0.23688252,0.20596844,0.17899947,0.16819762,0.17896666,0.20495355,0.23366944,0.2543998,0.26544127,0.27208197,0.28062698,0.29136705,0.29826546,0.29510903,0.28181505,0.26652417,0.25907817,0.26546285,0.28292298,0.30314502,0.3153268,0.31260714,0.29397586,0.2654592,0.23580962,0.2129978,0.20093542,0.20067663,0.2109675,0.2291774,0.2500255,0.26765195,0.27707496,0.27666593,0.2666106,0.24818902,0.22344302,0.19665156,0.17532544,0.16679692,0.17460102,0.19391084,0.21551132,0.23000763,0.23417252,0.22943306,0.21979135,0.20817249,0.19619681,0.1848314,0.17516841,0.1687588,0.16653444,0.16836338,0.17275643,0.17822976,0.1838249,0.1890359,0.19294478,0.19419551,0.1915995,0.18400878,0.1704284,0.150454,0.12610015,0.10178208,0.082488984,0.0709637,0.06653931,0.06607627,0.0657106,0.063225366,0.059991643,0.061599463,0.07521527,0.10409969,0.14405923,0.18455178,0.21570086,0.23312987,0.23910242,0.23793565,0.23315547,0.22610925,0.21730298,0.20693195,0.19535327,0.18307815,0.1708094,0.15965772,0.15141888,0.14892305,0.15485676,0.17000908,0.19233264,0.21825619,0.24582386,0.27517998,0.30796108,0.34316537,0.37693346,0.40220615,0.4131466,0.40662453,0.38538578,0.3557159,0.32547188,0.29822683,0.27468368,0.25574163,0.24738716,0.2551895,0.27721712,0.3012922,0.31494424,0.31502998,0.30994773,0.30948535,0.315946,0.32164574,0.31642923,0.2969081,0.26994714,0.24842353,0.24077374,0.24675898,0.25951675,0.27455512,0.29277334,0.31832564,0.3509233,0.38389957,0.4067519,0.41381204,0.40642405,0.39119682,0.3722222,0.34959093,0.32072797,0.28529105,0.24611391,0.20839751,0.17698465,0.15603793,0.14966513,0.16407609,0.20302041,0.26312768,0.32806674,0.376892,0.3931029,0.37581372,0.33704153,0.29427695,0.25949785,0.23435135,0.21515055,0.20038418,0.19514394,0.2043547,0.2256326,0.2480684,0.25931433,0.2533277,0.23305672,0.20948882,0.19817357,0.21148032,0.2502738,0.29966432,0.33928323,0.35550568,0.34817636,0.32521722,0.2963518,0.27213964,0.2609124,0.2659327,0.2806073,0.29565796,0.30594844,0.3157287,0.33196855,0.3579185,0.38892975,0.4174205,0.43732712,0.44637635,0.44274712,0.42427936,0.39188257,0.3527504,0.31840292,0.29603216,0.28494373,0.27861592,0.27271846,0.26738134,0.2654079,0.26798272,0.27376547,0.28041455,0.2862992,0.2910277,0.2947414,0.2975017,0.29926527,0.30020913,0.30150586,0.30483362,0.3125564,0.3256404,0.34349,0.36188188,0.37573695,0.38061032,0.37655523,0.36668321,0.35596743,0.347881,0.34375334,0.3419623,0.33938918,0.33353043,0.32451752,0.31492376,0.30806574,0.30892172,0.3256024,0.3684212,0.43968844,0.52590704,0.59861964,0.6334544,0.6253031,0.59191674,0.55687195,0.5345758,0.5249745,0.52096385,0.51721483,0.51261693,0.509559,0.50983524,0.5143478,0.5235049,0.5398067,0.5673216,0.60564905,0.64508414,0.6680564,0.6624329,0.6303974,0.5862263,0.5415604,0.49788976,0.4508054,0.4019061,0.36075673,0.3394481,0.34220386,0.36466673,0.3960539,0.42868248,0.46173036,0.502069,0.5532947,0.6071954,0.64375424,0.64600325,0.6143604,0.56665593,0.52530336,0.50256187,0.4986857,0.50613755,0.5167102,0.5239172,0.52472025,0.52021503,0.51434827,0.51193696,0.5161402,0.5271208,0.54218733,0.55555487,0.5632026,0.5653526,0.57041794,0.5873794,0.61789864,0.6494296,0.66316396,0.64842075,0.61119473,0.5700845,0.5415015,0.5318859,0.5362098,0.54549974,0.55119294,0.54804796,0.53427935,0.5105517,0.4793749,0.44230053,0.40222046,0.36502048,0.34221724,0.34339225,0.36835745,0.4036385,0.4320253,0.4448541,0.44633043,0.44746915,0.45512888,0.46863762,0.48152348,0.48801598,0.48589623,0.47746822,0.46903765,0.46913812,0.4870483,0.52566075,0.5769682,0.62111086,0.6383944,0.6220929,0.5826814,0.5391105,0.5053222,0.4855864,0.47639087,0.47317612,0.47305927,0.47586498,0.4829618,0.49494395,0.5112686,0.5305,0.5551154,0.5875012,0.6263685,0.6573315,0.6645031,0.63855886,0.5911823,0.5401665,0.50228053,0.47744465,0.4602854,0.44315442,0.4294637,0.4266831,0.4421036,0.47061303,0.49911913,0.51599556,0.5252061,0.53999895,0.5695446,0.6031088,0.6208047,0.6089805,0.5746905,0.53693557,0.5125463,0.5061433,0.5103672,0.5152495,0.513671,0.50646204,0.49765944,0.49187243,0.49081275,0.49621907,0.5108625,0.535969,0.56647116,0.5908716,0.6010535,0.6008226,0.6064245,0.62988424,0.666909,0.69345945,0.68839115,0.6481163,0.5941515,0.5501172,0.5286762,0.52308154,0.522244,0.51666653,0.50363857,0.48053935,0.4462817,0.4009422,0.3512527,0.30765048,0.28228733,0.28157732,0.30453363,0.34165052,0.38032165,0.4102451,0.42843544,0.4377298,0.44327006,0.44783947,0.4524267,0.45585838,0.45767912,0.45735645,0.45658347,0.4575906,0.46476734,0.4839584,0.52225596,0.5794101,0.64088535,0.6786975,0.6705219,0.6164173,0.5409284,0.47314954,0.42922223,0.40761745,0.39920786,0.39642024,0.396634,0.39974084,0.40517703,0.41113672,0.41787317,0.4312879,0.4620304,0.51388615,0.5743475,0.61576414,0.616659,0.57713366,0.5176897,0.45638058,0.39576113,0.3282869,0.2550592,0.19230802,0.16204767,0.17530517,0.22501768,0.29101643,0.35549167,0.414682,0.47814226,0.55130893,0.62065554,0.65717083,0.64074564,0.57826626,0.4998357,0.43494222,0.3959575,0.37789503,0.37087688,0.36837068,0.3682895,0.36990133,0.37218294,0.37501934,0.38115254,0.396847,0.42755273,0.47054663,0.51103777,0.5305624,0.52370805,0.5085836,0.51431817,0.5553073,0.61275905,0.64856094,0.6345523,0.57560337,0.5004094,0.43858314,0.40181133,0.3864361,0.38406238,0.38973257,0.3996261,0.40827933,0.40824494,0.39665425,0.37749937,0.36064664,0.35486054,0.36294234,0.38068536,0.39921963,0.41173768,0.41606426,0.4163452,0.41717008,0.42110515,0.42600298,0.42789277,0.42326832,0.41219306,0.39875743,0.38866472,0.38503554,0.3844026,0.37767777,0.35516444,0.3149042,0.2660562,0.22439855,0.20066546,0.19222717,0.1855046,0.16768046,0.13752604,0.106473595,0.08963925,0.094220795,0.11403599,0.13401699,0.14111735,0.13250528,0.11561632,0.101141214,0.09644999,0.10372179,0.12105677,0.14391394,0.16563047,0.18081759,0.18913706,0.19710279,0.21237205,0.23623055,0.25896135,0.26564607,0.24659176,0.20672446,0.16421135,0.13904332,0.13932113,0.15541828,0.1696647,0.16980441,0.15879042,0.148259,0.14896305,0.16157013,0.17979676,0.19648339,0.21030992,0.2241143,0.23969388,0.25367013,0.26035473,0.25689977,0.24506319,0.22740686,0.2045105,0.17645605,0.14665791,0.12152452,0.10595039,0.09963059,0.098647386,0.10045201,0.10606306,0.11808732,0.13690865,0.16054596,0.18675792,0.21554816,0.24802797,0.2835236,0.31690428,0.34036985,0.34885666,0.3459798,0.34253338,0.34924018,0.36618078,0.38256118,0.38381818,0.36579886,0.33801138,0.3165828,0.30855823,0.30806398,0.30559894,0.30285528,0.31148672,0.3398944,0.3803166,0.41469017,0.4281442,0.41860545,0.39339307,0.36190477,0.33309567,0.3167024,0.32601425,0.372178,0.45376444,0.5482027,0.61902875,0.6392531,0.6092345,0.55630666,0.51224345,0.4949557,0.50196224,0.51979965,0.5346542,0.53909916,0.53269154,0.51921433,0.50486034,0.4972516,0.50530773,0.53459233,0.58194005,0.63055307,0.6592452,0.6540823,0.6206198,0.57419485,0.52832514,0.4833413,0.4345634,0.38077095,0.33020547,0.29580092,0.2880145,0.3079048,0.34598324,0.38868928,0.4307475,0.47737607,0.5358412,0.5982658,0.6443779,0.654166,0.627502,0.5809564,0.53664,0.5065297,0.4908309,0.48324808,0.47860208,0.47647882,0.47865674,0.48611808,0.4970169,0.5091108,0.52230245,0.53780484,0.55577415,0.5715278,0.5804072,0.58131385,0.5830212,0.5951016,0.6211727,0.64971876,0.6647708,0.65519434,0.6247743,0.58474976,0.54706866,0.5174136,0.49763617,0.48685575,0.482608,0.4791552,0.46902037,0.4464749,0.41280785,0.37624168,0.34806097,0.3357465,0.34039116,0.35640118,0.37536693,0.390131,0.39925206,0.40627965,0.41606402,0.4300413,0.44610295,0.46032465,0.46987617,0.473954,0.47436237,0.47383174,0.47560453,0.4842035,0.50748926,0.5508433,0.60748357,0.65424293,0.6645129,0.6300652,0.5674628,0.5084581,0.47460344,0.47072434,0.4837688,0.49983907,0.50860476,0.5091195,0.5029998,0.49310783,0.48263106,0.4790958,0.49428067,0.5342201,0.5902361,0.63604015,0.6485765,0.6219845,0.57433647,0.5245039,0.4815798,0.44038975,0.39920452,0.36275837,0.3410929,0.3377891,0.34889063,0.3653331,0.3810456,0.39717257,0.4225918,0.4646385,0.5205111,0.57194453,0.59896284,0.5918271,0.5614353,0.5259272,0.5006594,0.4870926,0.48062226,0.47486112,0.4691931,0.46519443,0.46600112,0.47159612,0.48148584,0.49449572,0.5126333,0.53539735,0.55939126,0.5741438,0.57539105,0.5680904,0.5712022,0.5956997,0.636472,0.6680827,0.67000085,0.63908416,0.59274364,0.5495957,0.51842386,0.49609527,0.47799185,0.463617,0.45665905,0.45845723,0.46548674,0.47128364,0.4723232,0.4699087,0.46800587,0.469146,0.4732329,0.4781053,0.48144364,0.48158237,0.479306,0.47686425,0.476598,0.4774364,0.47610414,0.4695464,0.45907557,0.44905147,0.44403395,0.44582286,0.45554242,0.47699055,0.51490384,0.5679032,0.62138873,0.6544206,0.6534241,0.6242533,0.58553976,0.55501825,0.5376051,0.5278211,0.5173458,0.5027991,0.4861875,0.47212186,0.46307203,0.45980537,0.46428195,0.4840468,0.5263558,0.58825445,0.6480505,0.6770458,0.6589284,0.60410935,0.5381709,0.48230335,0.44076574,0.40864775,0.38304332,0.36732903,0.36601034,0.3789655,0.40129077,0.42645314,0.45251477,0.48386422,0.5271266,0.580023,0.62592655,0.6423951,0.6194506,0.5689993,0.5151803,0.47501814,0.4497219,0.43145263,0.41595832,0.40602675,0.40673503,0.41913947,0.43927243,0.46202984,0.48506364,0.5111715,0.54256046,0.5754618,0.5957927,0.59146667,0.56459075,0.538927,0.5407582,0.57750946,0.6255632,0.6506116,0.63342154,0.5851355,0.53361005,0.5022787,0.49673143,0.50794077,0.5231846,0.53322726,0.5343724,0.5257303,0.5077242,0.48173234,0.45069626,0.42094007,0.40111873,0.39964208,0.41736183,0.4463493,0.47322622,0.48911455,0.4922534,0.48775896,0.48128366,0.47817305,0.48024467,0.48751238,0.49700284,0.50589675,0.5116463,0.51524717,0.52124524,0.53782797,0.5684075,0.60716337,0.6369917,0.64299965,0.62033695,0.57959455,0.53582686,0.50129116,0.47860703,0.46410796,0.4524227,0.44156852,0.43401244,0.4342281,0.4455181,0.46889174,0.5030456,0.54593396,0.59138346,0.6284928,0.6418631,0.62333196,0.57865757,0.52735907,0.4864533,0.45958284,0.43623707,0.40621355,0.36917403,0.33561578,0.31591496,0.3136961,0.32425797,0.34369668,0.3739721,0.42473844,0.4992199,0.58399993,0.64677715,0.66022515,0.6226495,0.56257004,0.5140589,0.49394026,0.496008,0.50549084,0.5125256,0.5155017,0.5156228,0.5129212,0.5064419,0.49785665,0.49227715,0.49649104,0.5115958,0.53050345,0.539152,0.5306123,0.5128196,0.5071992,0.52798754,0.5667183,0.5953482,0.5898865,0.55089694,0.5008711,0.46462992,0.45179296,0.45614794,0.46558043,0.47201583,0.4730487,0.4702201,0.46454087,0.45816156,0.45496896,0.46460608,0.49568352,0.54778045,0.60158664,0.6273808,0.6027668,0.5316817,0.44301867,0.37305602,0.3435441,0.35259113,0.3820686,0.41297308,0.4367837,0.45562172,0.47454524,0.49536714,0.515043,0.5290375,0.53207487,0.52008563,0.4912578,0.45004058,0.40602973,0.36939585,0.3447906,0.33024192,0.32121918,0.31410858,0.30812067,0.30359843,0.30202338,0.30427304,0.31046942,0.31773952,0.3217932,0.31818286,0.3064736,0.29002586,0.2745501,0.2634613,0.255811,0.24825846,0.23845221,0.2294782,0.22594047,0.23143113,0.24235217,0.25308242,0.25854686,0.25920665,0.257257,0.25463104,0.25201133,0.25040922,0.25168332,0.25622195,0.26181164,0.2641387,0.26001945,0.24956046,0.23599237,0.22314768,0.21314728,0.20571972,0.19961965,0.19377537,0.18817689,0.1830216,0.1785645,0.174556,0.1708579,0.16717297,0.16327043,0.15871845,0.15341376,0.14762652,0.1420877,0.13736773,0.13364378,0.13054545,0.12772447,0.12504952,0.12275702,0.12090849,0.11927698,0.11706561,0.113543086,0.10934728,0.1086803,0.11911285,0.14701372,0.19011986,0.23496771,0.26339534,0.26594758,0.24977706,0.23544276,0.2412291,0.27001736,0.30598426,0.3274518,0.32231495,0.29668587,0.26899716,0.25602213,0.26238385,0.2798709,0.29742005,0.30850002,0.31143698,0.30316678,0.279158,0.24076849,0.20236944,0.1860615,0.20766743,0.2638987,0.33493653,0.3950843,0.42756462,0.4279667,0.4050757,0.3723394,0.34389913,0.32547387,0.3169598,0.3136603,0.31505015,0.32166246,0.33339497,0.34471154,0.34933376,0.34403232,0.33056322,0.31285787,0.2941974,0.2784228,0.27107194,0.27890372,0.3029972,0.3343768,0.35453305,0.34766218,0.3116806,0.26287815,0.2238831,0.20915984,0.21625756,0.23311825,0.24933755,0.26254043,0.27455044,0.2858236,0.29438508,0.2982857,0.2977816,0.29269788,0.2814423,0.26109308,0.23291737,0.20451005,0.18857037,0.19652195,0.23106699,0.284695,0.3416903,0.38784564,0.41433045,0.42063344,0.40956137,0.38597187,0.35427478,0.31936145,0.2860576,0.26003322,0.24604209,0.24554248,0.25409564,0.2637765,0.26781723,0.2646903,0.25749996,0.25090006,0.24808417,0.24975353,0.25448933,0.26005057,0.26478598,0.26870194,0.2731862,0.27947247,0.28704372,0.29280117,0.29240724,0.2828257,0.26581654,0.2485581,0.2403742,0.24616618,0.26295936,0.28195396,0.2944796,0.2954353,0.2831724,0.25815448,0.22326793,0.1850429,0.15390967,0.14219694,0.15975793,0.20692432,0.271989,0.33468357,0.37797317,0.39344546,0.38227546,0.34913614,0.30225295,0.25137255,0.20673943,0.17409919,0.15516907,0.14894313,0.15379332,0.16635871,0.18187265,0.1968447,0.21046048,0.22403996,0.2367245,0.24671058,0.25238565,0.2567952,0.26397017,0.27712393,0.2939702,0.31044486,0.3210825,0.32222113,0.30900678,0.27899423,0.2341724,0.18584035,0.14948867,0.13837315,0.15545778,0.19364136,0.2390566,0.2772536,0.29821455,0.2999841,0.2886975,0.27383232,0.26183227,0.25260442,0.24176115,0.225757,0.20519364,0.18415733,0.16695188,0.15557356,0.14909185,0.14496113,0.14055143,0.1343515,0.12613662,0.11669248,0.10729345,0.09936035,0.093961276,0.09111441,0.089398645,0.08734215,0.08607634,0.0915856,0.11196799,0.15145005,0.20412898,0.25612828,0.29326475,0.31013474,0.31056803,0.30262086,0.29161748,0.27908143,0.26513577,0.25343823,0.25107595,0.26499268,0.29457045,0.330965,0.3617685,0.3799777,0.38636956,0.38630357,0.38300344,0.37523234,0.35931385,0.33407357,0.30216932,0.2681652,0.23463123,0.20278706,0.1761269,0.16326034,0.17508103,0.21598136,0.27881345,0.3454934,0.39876428,0.42934573,0.4397765,0.43660316,0.42610034,0.4099566,0.38774964,0.3589573,0.32694402,0.29891157,0.28207847,0.2777586,0.28063962,0.28358805,0.28322753,0.27988124,0.27402362,0.2643707,0.2510828,0.239372,0.23944215,0.2595376,0.29993227,0.3504683,0.39733577,0.42956725,0.44387767,0.44148418,0.4253249,0.3976858,0.36213064,0.32297304,0.28460053,0.24926615,0.21834506,0.19329534,0.17684089,0.17181171,0.17932431,0.19692089,0.2181205,0.23533617,0.24356757,0.24283683,0.23634814,0.22781624,0.21934651,0.2121646,0.20696278,0.204886,0.20635414,0.21085912,0.21549179,0.21618329,0.20937026,0.19549221,0.17929201,0.16756718,0.16398902,0.16753422,0.17422439,0.18193763,0.19120723,0.2036783,0.21902286,0.23513545,0.2491787,0.25840855,0.2606958,0.25515905,0.24400894,0.23113246,0.22040127,0.21287934,0.20789254,0.20346004,0.19700561,0.18502498,0.16627614,0.1448337,0.13033041,0.13072576,0.14592235,0.16698532,0.18394633,0.19244607,0.19471073,0.19520284,0.19686808,0.20048992,0.20541222,0.21047735,0.21472745,0.21811074,0.22128318,0.22423075,0.22540475,0.22264357,0.21529143,0.20531155,0.19585432,0.18905479,0.18469937,0.18124706,0.17741887,0.17325167,0.16953169,0.16680698,0.16487136,0.16339791,0.16253372,0.16280329,0.16424757,0.16611655,0.16751261,0.1684044,0.16996694,0.17371124,0.18015884,0.18778439,0.19339533,0.19365723,0.18732639,0.17617327,0.16408955,0.15449397,0.14854623,0.14519258,0.14297783,0.1414398,0.14103945,0.14200352,0.14361472,0.14479612,0.14518283,0.14545093,0.14641427,0.14805038,0.14944297,0.14979655,0.14915425,0.14835824,0.1480724,0.14836836,0.14881559,0.14930339,0.15016508,0.15183239,0.15425809,0.1570362,0.16022784,0.16477276,0.17213106,0.18270266,0.19496627,0.20560348,0.21139787,0.21089973,0.20514564,0.1965046,0.18701297,0.17743963,0.16802408,0.15954344,0.1535423,0.15109833,0.15206645,0.15526606,0.15937887,0.1633361,0.16624372,0.16786246,0.16876195,0.1700664,0.17204724,0.17368688,0.17336863,0.17037892,0.16547251,0.16003524,0.15487422,0.1497888,0.1442067,0.13937046,0.1414298,0.1642465,0.22434674,0.32647386,0.44974172,0.5517542,0.596036,0.576901,0.5227249,0.4705478,0.44369245,0.44306788,0.45775613,0.47505903,0.487766,0.49431565,0.49766174,0.50246465,0.5138559,0.53668195,0.57253003,0.61631745,0.6540986,0.6715281,0.66219693,0.63376385,0.59821033,0.56369394,0.52927136,0.49242938,0.45385447,0.41819084,0.38947454,0.3684758,0.35436186,0.34752586,0.35233796,0.37668297,0.42649284,0.49750176,0.57059497,0.62082165,0.6333072,0.61335456,0.57994246,0.5506189,0.53268284,0.5242937,0.52187896,0.522729,0.5258854,0.52981395,0.53348976,0.53661853,0.5408707,0.5500142,0.56631833,0.5889883,0.60883546,0.61833334,0.6150593,0.6138931,0.6292779,0.6662657,0.7043471,0.71814626,0.693306,0.6411707,0.58442986,0.5415887,0.5175759,0.50813717,0.50696284,0.5091698,0.5107586,0.5080629,0.49813187,0.4810177,0.45993873,0.44082296,0.42990193,0.43130863,0.44436586,0.46290314,0.47894922,0.48793256,0.4915681,0.4944379,0.4995129,0.5058169,0.5114231,0.5161326,0.5221992,0.5312826,0.5424957,0.5540053,0.5668425,0.5871012,0.6189138,0.6575816,0.6857528,0.68704015,0.6566288,0.60764915,0.55762553,0.51916605,0.49386027,0.47894585,0.47136,0.4700197,0.47469792,0.48391786,0.4954886,0.5072503,0.52224654,0.54781175,0.5895733,0.63962746,0.67690057,0.6800681,0.6465638,0.5937915,0.54595435,0.5149039,0.49793208,0.48592344,0.47541317,0.46919528,0.47112393,0.47972727,0.4898741,0.4980916,0.5079008,0.52793247,0.56310016,0.6066537,0.63981074,0.6454303,0.62040806,0.5790743,0.54060966,0.51655406,0.5062584,0.50309116,0.50094384,0.49783584,0.4941857,0.49191904,0.49182215,0.49471906,0.501548,0.5158903,0.53941846,0.5684746,0.5908315,0.5981038,0.5944474,0.59987384,0.62828726,0.67259264,0.70401794,0.6978542,0.6536899,0.5932322,0.5421619,0.51127523,0.4985429,0.49546126,0.49633515,0.49645558,0.49009374,0.47096765,0.43647325,0.39243665,0.3501326,0.3211858,0.3112615,0.3196192,0.3404952,0.36607948,0.3900232,0.40981773,0.42825648,0.44929,0.47458443,0.50043243,0.52156776,0.5348627,0.54192805,0.5466209,0.55241996,0.56163263,0.57763076,0.60350233,0.63749576,0.6666865,0.6728217,0.64493054,0.59170526,0.5356677,0.4980751,0.48544192,0.4907821,0.5023356,0.51151824,0.5152555,0.51417524,0.5106105,0.5069869,0.507422,0.518949,0.5486949,0.5948234,0.6405583,0.661243,0.64262384,0.5922471,0.5329473,0.48438358,0.4528766,0.43516418,0.42844963,0.43242767,0.44560614,0.4610715,0.4714935,0.47511315,0.48050192,0.501288,0.54591656,0.6082193,0.66664594,0.6976157,0.6901908,0.6537228,0.6083063,0.5708576,0.5467655,0.53265566,0.5235665,0.51641136,0.50969243,0.50303113,0.49796072,0.4992856,0.5119872,0.53935105,0.5779632,0.6182861,0.64435345,0.6453628,0.62405634,0.6021889,0.60281396,0.63257056,0.6705021,0.6865005,0.66274756,0.6077852,0.5450891,0.49618185,0.469057,0.46061656,0.46378914,0.47228327,0.480305,0.48247364,0.47503862,0.45973244,0.44325957,0.43516114,0.4421194,0.4650469,0.49777517,0.530139,0.5534119,0.56409186,0.5644851,0.55913234,0.5527289,0.5479785,0.54523754,0.54224545,0.5367052,0.5284722,0.519839,0.51477647,0.51887316,0.5405708,0.58378464,0.6407135,0.68716764,0.6991903,0.6684933,0.61174655,0.55492705,0.5181412,0.50521207,0.5097186,0.52119213,0.5315432,0.53644353,0.5361645,0.5338661,0.53379256,0.54133224,0.5629161,0.59998804,0.6412294,0.6616077,0.6409002,0.58157414,0.51165867,0.46099105,0.43983367,0.43601927,0.43330672,0.42699322,0.4249765,0.435986,0.46051168,0.49021468,0.517381,0.54191184,0.57245547,0.61398554,0.6587115,0.6851172,0.6765365,0.6346714,0.5808311,0.53764194,0.51512283,0.50917166,0.5108749,0.5149173,0.51962304,0.5250535,0.5300801,0.5342052,0.5394377,0.5501552,0.5703203,0.5961616,0.6174135,0.6207796,0.60459316,0.58081895,0.57281256,0.5951347,0.64378685,0.69260484,0.71422476,0.6956493,0.6488456,0.59592074,0.55613375,0.5346549,0.527427,0.5260381,0.5231392,0.5139482,0.4978927,0.47993538,0.46979293,0.47892737,0.5136653,0.5683152,0.6233935,0.6549299,0.6498651,0.6140532,0.5663069,0.5242639,0.4964321,0.48257482,0.47834554,0.47882786,0.48093256,0.48497513,0.49296963,0.5063421,0.5249996,0.5500099,0.5829312,0.621176,0.6528135,0.6614685,0.6383131,0.5911839,0.53975624,0.50186676,0.4835106,0.47969487,0.48259404,0.4872005,0.49206555,0.49662617,0.50043386,0.5046561,0.5140624,0.53636724,0.5762506,0.6276333,0.6714112,0.68559355,0.66176695,0.6121084,0.5592473,0.5183863,0.490078,0.46788254,0.44858995,0.43508354,0.43037722,0.43486488,0.4454862,0.46048474,0.48076293,0.5121123,0.5583645,0.61408526,0.66001445,0.674485,0.649702,0.5992888,0.54844505,0.5159969,0.50573367,0.50908,0.5159622,0.5209584,0.52444214,0.5287269,0.5352434,0.5448222,0.55911165,0.5819029,0.6136558,0.64792943,0.6683259,0.6627353,0.6339391,0.60730976,0.60825187,0.642217,0.6836233,0.6992313,0.6736694,0.619342,0.5625303,0.52175534,0.5020197,0.49688354,0.49891794,0.5014661,0.4998552,0.49044788,0.47145334,0.4460477,0.4209355,0.40491048,0.40311125,0.4158552,0.43832767,0.4627383,0.48181877,0.49108908,0.49265733,0.4919032,0.4951147,0.5027299,0.51146024,0.5161559,0.515881,0.51289636,0.51114535,0.5139177,0.52543825,0.5519988,0.59549624,0.6467371,0.68289495,0.6844363,0.64844567,0.5948484,0.54794,0.52318996,0.518684,0.5250276,0.53167915,0.53424835,0.53246015,0.52959013,0.52809256,0.5315878,0.54436785,0.5729039,0.61629015,0.66242105,0.68856543,0.6791093,0.63696885,0.5824109,0.5364046,0.5062817,0.48709854,0.47038913,0.45485267,0.44467464,0.44558808,0.45714962,0.4742148,0.49075893,0.50864524,0.53547114,0.57651114,0.62227815,0.65157205,0.64684504,0.6098974,0.56104016,0.5216523,0.50126714,0.4951906,0.4961076,0.49909267,0.50408506,0.51052165,0.5172825,0.52234155,0.52640396,0.5326355,0.5447895,0.5612619,0.5754793,0.5795602,0.575252,0.5745142,0.5935899,0.6354607,0.6824031,0.705338,0.68583345,0.6325857,0.57134587,0.52692705,0.5062151,0.503739,0.50906914,0.51436895,0.51263076,0.49784467,0.46770123,0.4268522,0.3856988,0.3543477,0.33799267,0.33699515,0.3487614,0.36920094,0.39214405,0.4128219,0.42938077,0.44419876,0.4594717,0.47541347,0.48979816,0.49991903,0.50482374,0.50517255,0.50365704,0.5036707,0.5106451,0.5324473,0.5747179,0.63241285,0.6830914,0.69839936,0.6631554,0.5905164,0.5123258,0.45867646,0.441052,0.45255113,0.4776945,0.5019475,0.5176222,0.52402616,0.52562565,0.5279904,0.5365576,0.55742353,0.5937111,0.6399629,0.6768642,0.68308574,0.64986086,0.59098715,0.52959734,0.48257148,0.4512329,0.4304272,0.4165399,0.4113375,0.415796,0.427801,0.4420266,0.4562212,0.47384158,0.5048859,0.5547922,0.61690664,0.6676264,0.68401814,0.6580809,0.6061463,0.55304337,0.5168392,0.4999232,0.4959823,0.4979608,0.5010714,0.5018125,0.49844155,0.49303517,0.49168777,0.500956,0.5247669,0.56047386,0.59771746,0.61955404,0.6148098,0.5895195,0.56954175,0.5788024,0.61857146,0.6603094,0.6711976,0.6379182,0.5772787,0.51738244,0.47881606,0.4645349,0.4664917,0.47457954,0.48158845,0.48303685,0.4759346,0.46004787,0.43973064,0.423237,0.4189869,0.4307716,0.45615527,0.4876639,0.51658016,0.53666633,0.5460396,0.5471904,0.54441786,0.54211164,0.54159594,0.54094976,0.5355138,0.5231114,0.5059385,0.4905788,0.4836,0.4909165,0.5173473,0.5628236,0.61694306,0.65799975,0.66724104,0.6412828,0.5969018,0.55630237,0.5345581,0.5324912,0.5424262,0.5542929,0.56118506,0.5606222,0.55410343,0.5454102,0.54022115,0.5463833,0.570925,0.6110888,0.6480053,0.6536282,0.61302394,0.5397228,0.46852413,0.4278575,0.42070553,0.42884597,0.43405402,0.43273678,0.43411413,0.44722867,0.4718884,0.49974856,0.52431375,0.5478724,0.579417,0.6219918,0.66499233,0.6877594,0.6772774,0.63801885,0.5897825,0.5506583,0.527994,0.5176626,0.5132954,0.51068753,0.508773,0.50742066,0.50655335,0.5072109,0.5123027,0.5262952,0.5510058,0.5809838,0.6041656,0.6093206,0.597382,0.5837479,0.59045553,0.62852716,0.6870603,0.7359627,0.7462838,0.7092332,0.6421545,0.572881,0.52242714,0.49506554,0.4844823,0.48190543,0.48016357,0.47346744,0.4562889,0.42998007,0.4050355,0.40186116,0.434849,0.5012904,0.5744886,0.62150985,0.6213706,0.5779047,0.5121259,0.4479413,0.40208915,0.37880215,0.37473783,0.3810619,0.39234748,0.4055003,0.4213263,0.43837538,0.45350543,0.46015286,0.4524193,0.42728123,0.38820526,0.3435516,0.30256045,0.27020004,0.24622644,0.2274148,0.21098267,0.19548078,0.18065517,0.16653915,0.15357576,0.14223169,0.13266136,0.12480875,0.11929044,0.11874508,0.12684034,0.1455368,0.17186774,0.19861604,0.2179145,0.2247362,0.21692085,0.19424146,0.15890738,0.117462,0.079169475,0.05161175,0.03640907,0.030113325,0.027865736,0.027376773,0.02985096,0.039456964,0.059606474,0.09022641,0.12516145,0.1562539,0.17705464,0.18741004,0.19098116,0.19276257,0.1950739,0.1979882,0.20013672,0.20076512,0.19974627,0.1973486,0.19378424,0.1893986,0.18471695,0.18007904,0.17559667,0.17119412,0.16690053,0.16272128,0.15872158,0.15505941,0.15196562,0.14952444,0.14757667,0.14574651,0.14367606,0.14109094,0.13810566,0.13498601,0.13215078,0.12967716,0.12757915,0.12564074,0.12380979,0.121889584,0.119803905,0.117334075,0.114470325,0.11123472,0.10787197,0.10450981,0.1012036,0.09781513,0.09423336,0.09043018,0.086530484,0.08270938,0.07907867,0.075668044,0.07246333,0.06948539,0.06670459,0.06396492,0.060755793,0.056202363,0.049295906,0.039716683,0.028423453,0.017504228,0.008973953,0.0037004568,0.0011797157,0.00029148362,7.166083E-05,3.5499743E-05,2.9150424E-05,2.8361183E-05,2.8804978E-05,2.852002E-05,2.7622178E-05,2.7343567E-05,2.9543697E-05,3.6018464E-05,4.711848E-05,6.131921E-05,7.425146E-05,8.1797196E-05,8.135405E-05,7.4413685E-05,6.457613E-05,5.612682E-05,5.134777E-05,4.9837647E-05,4.945353E-05,4.7665762E-05,4.3584805E-05,3.7471615E-05,3.107618E-05,2.5558073E-05,2.1931324E-05,1.971842E-05,1.8692062E-05,1.8251652E-05]