[0.011590136,0.018011674,0.035103112,0.0631007,0.09659892,0.12482957,0.13649815,0.13160016,0.12423444,0.13991427,0.19368549,0.28132284,0.3706188,0.42696047,0.42628518,0.37679505,0.3031234,0.2348964,0.18518056,0.15540236,0.14306927,0.15113334,0.18159439,0.22999799,0.2830386,0.33149612,0.372558,0.41527423,0.46531272,0.52280885,0.573287,0.60060734,0.59539175,0.5657487,0.5312527,0.512064,0.5154341,0.53176194,0.5379748,0.5118117,0.44421962,0.34947145,0.25920445,0.21112935,0.22479343,0.2928211,0.3788989,0.44599637,0.47023463,0.4539378,0.40981865,0.3588519,0.320155,0.31095928,0.33468318,0.38181007,0.43368435,0.475763,0.5030203,0.5198696,0.5329371,0.5424974,0.5419784,0.5238847,0.4882795,0.44391897,0.40140462,0.3702134,0.3538735,0.35259733,0.35753742,0.3544093,0.32927155,0.28319785,0.2379406,0.22248471,0.25065103,0.30817306,0.36692068,0.40733787,0.4278604,0.4375308,0.44158682,0.44022384,0.4311755,0.41957307,0.41547155,0.42719993,0.4509251,0.4705819,0.46896902,0.43416998,0.36888155,0.28794327,0.22318353,0.20380862,0.24110301,0.31088012,0.37421224,0.40048322,0.3908104,0.36568215,0.35026017,0.35335758,0.36588466,0.36435124,0.33025897,0.2680572,0.20985419,0.1946172,0.2401865,0.32501352,0.40365136,0.43326125,0.40747687,0.35316804,0.3100011,0.29358235,0.29169062,0.28076586,0.25351158,0.22276586,0.20883471,0.22262771,0.2600057,0.30683193,0.34599903,0.36619154,0.36404452,0.34346068,0.30724037,0.25615853,0.19518203,0.14104056,0.119792424,0.1466391,0.21611357,0.29668704,0.35654405,0.3740047,0.35528293,0.31704715,0.27966493,0.24696994,0.21603365,0.1825897,0.15822895,0.15727551,0.18775016,0.23464884,0.27716056,0.299068,0.30105054,0.28813273,0.2631851,0.22792065,0.19144732,0.17282705,0.18724018,0.23220678,0.2853811,0.32132936,0.32941428,0.31755695,0.29929504,0.28240314,0.2649466,0.24440485,0.22027434,0.19605546,0.17467749,0.16049851,0.16202503,0.18926914,0.24581909,0.3170378,0.37729076,0.40370426,0.39526808,0.36787304,0.34345016,0.3344033,0.34385276,0.3654201,0.38549337,0.3845136,0.3493257,0.28679463,0.22606562,0.19776447,0.21096559,0.24314916,0.26154327,0.24599035,0.20583677,0.16825329,0.15761594,0.18071066,0.22739494,0.28583142,0.34462738,0.39219904,0.41615367,0.41328046,0.39568293,0.3776145,0.36485147,0.35123435,0.33489898,0.3214669,0.3180783,0.3178699,0.30354187,0.26147693,0.20004563,0.14420925,0.11754862,0.12254814,0.14249848,0.15754831,0.15845837,0.14846174,0.1330073,0.115580715,0.09843733,0.0891541,0.0981493,0.12822448,0.16599095,0.18848823,0.18495516,0.17155474,0.18016714,0.23151039,0.31339288,0.39291835,0.43920693,0.44867638,0.43890414,0.43339095,0.44061908,0.45413217,0.4630433,0.46209952,0.45025516,0.42364517,0.37968144,0.32672054,0.28685609,0.2758139,0.2850457,0.28332826,0.25032875,0.19920903,0.17399907,0.2118208,0.31282973,0.43719447,0.5326452,0.57132596,0.5564776,0.5146393,0.46655393,0.42523468,0.38977864,0.35573542,0.3152952,0.26915565,0.23126632,0.22234143,0.2524598,0.30883947,0.36511803,0.3991259,0.4064105,0.39497674,0.37347674,0.3410257,0.29048654,0.22066243,0.14294691,0.07916365,0.04757103,0.058235347,0.10757337,0.18277006,0.26401523,0.33439854,0.3848518,0.41277602,0.42154908,0.41716275,0.4115225,0.41277894,0.42795274,0.45626485,0.4939637,0.52255595,0.52065367,0.4744401,0.40180156,0.33737722,0.31164247,0.32188392,0.34122288,0.33702552,0.29521754,0.22441566,0.14912425,0.096963376,0.08852411,0.13307421,0.22213234,0.32927454,0.41510323,0.4528065,0.44072554,0.40678966,0.3780155,0.3695259,0.37312856,0.3785148,0.37583804,0.36576548,0.35224986,0.34180483,0.3385669,0.34202647,0.35146785,0.36424062,0.37720272,0.38213643,0.37535158,0.36094275,0.34992984,0.34384358,0.33186564,0.29642603,0.23389308,0.15646227,0.086754195,0.038968217,0.015092005,0.007896475,0.0111869825,0.023588935,0.046393793,0.08093211,0.12563527,0.17589587,0.22255778,0.25443065,0.26371896,0.25102672,0.22558294,0.20026189,0.18543977,0.1854338,0.19304325,0.19447106,0.17585647,0.14004485,0.10351273,0.087128155,0.09646723,0.12260797,0.15043564,0.17348059,0.19318229,0.21548538,0.24133603,0.2686853,0.2888042,0.29308653,0.27394992,0.23642932,0.19579355,0.17053144,0.16757287,0.17788766,0.18808602,0.19060253,0.19006868,0.18866187,0.18242313,0.16096993,0.12491661,0.08737862,0.06720725,0.07068842,0.08823126,0.1027473,0.10549062,0.10074219,0.099139154,0.10679841,0.122169115,0.13986991,0.15576895,0.16722377,0.17322804,0.17443238,0.1752212,0.18122377,0.19436717,0.21008265,0.21950406,0.2197501,0.2147126,0.21138932,0.20731564,0.1937616,0.16423334,0.12539025,0.0925346,0.0793976,0.08890311,0.113451935,0.14220881,0.16837285,0.194214,0.22235923,0.25165686,0.26990652,0.2670411,0.23808925,0.19238473,0.14577621,0.11798349,0.118955225,0.14329113,0.17229752,0.19165164,0.20272315,0.21704046,0.23916177,0.25997868,0.2669544,0.256764,0.23955013,0.23017651,0.23829073,0.25986698,0.2800632,0.28469643,0.2698575,0.24380817,0.21623673,0.19533254,0.18468983,0.1861132,0.19608404,0.20665433,0.21182229,0.20892037,0.20084786,0.18837477,0.17634548,0.16888116,0.16984807,0.17427939,0.1764272,0.17620324,0.18085785,0.19285731,0.20639956,0.21510816,0.2257815,0.25012985,0.29355976,0.34114674,0.37306878,0.37314537,0.34770426,0.315148,0.30007005,0.30615845,0.3174912,0.3044537,0.25697294,0.19194351,0.14851981,0.15502346,0.21112038,0.2879542,0.35002485,0.37721393,0.37051943,0.347512,0.32956803,0.32848838,0.34206495,0.35420725,0.3561274,0.3485646,0.34551963,0.35192132,0.3637806,0.36447537,0.34161326,0.2918513,0.23130648,0.18663518,0.18249291,0.22059233,0.2781968,0.31991884,0.32163146,0.28047785,0.21392696,0.14501776,0.09388155,0.07023996,0.073394895,0.09088367,0.10525698,0.1047079,0.09421571,0.09193625,0.114771664,0.1589344,0.20126818,0.21352448,0.18927519,0.14735767,0.121416904,0.1324457,0.17977555,0.24386851,0.3025119,0.33976266,0.34944364,0.33533594,0.30737624,0.27721646,0.24789347,0.2164489,0.17960227,0.14790371,0.13943489,0.16901927,0.23055768,0.30233577,0.35700116,0.37886468,0.36468402,0.32545698,0.27699944,0.23780048,0.2178485,0.22031952,0.23808794,0.26279783,0.28455088,0.29865476,0.3025762,0.29751924,0.28696516,0.27637717,0.27243054,0.27765787,0.29120025,0.3064433,0.31668377,0.31661168,0.30702868,0.291888,0.2733899,0.24880902,0.21361704,0.16910668,0.12349851,0.08947321,0.07797277,0.0954588,0.14023161,0.20140447,0.2623826,0.3091464,0.3341196,0.33458284,0.30923614,0.26462677,0.21890824,0.19551544,0.20362496,0.22934122,0.247205,0.24138321,0.21624649,0.18943428,0.18016456,0.19779658,0.23675923,0.27762905,0.29837295,0.28888503,0.25530878,0.21500267,0.18291943,0.16549855,0.1583011,0.1528158,0.14584684,0.145593,0.16986527,0.22871721,0.31576064,0.4043912,0.47151908,0.50333315,0.50657094,0.48827317,0.46031463,0.4268888,0.3966556,0.37450314,0.366061,0.37194932,0.38600907,0.39910805,0.39749753,0.37740186,0.34119204,0.3052999,0.2790589,0.2630237,0.2413928,0.20383453,0.15067513,0.09823662,0.06311402,0.059814584,0.093819104,0.16405569,0.2533387,0.33503357,0.38093653,0.38246033,0.3489689,0.30138427,0.25535285,0.2202335,0.1981023,0.18796009,0.18610527,0.19061305,0.19803853,0.20198005,0.19122195,0.16350351,0.13109389,0.11881968,0.14167994,0.19383805,0.25008702,0.2891319,0.30631018,0.31325635,0.31818518,0.31710032,0.296927,0.25192747,0.18958004,0.1283942,0.08876756,0.08697791,0.1301197,0.20766197,0.2936579,0.35360017,0.37099957,0.35290834,0.32827914,0.31814858,0.3269606,0.34356079,0.35953674,0.37230733,0.37813115,0.36843613,0.33764267,0.29576957,0.26379934,0.25743416,0.27319077,0.2926801,0.29778492,0.28198513,0.25012678,0.21345176,0.18271773,0.16851707,0.17543201,0.20318513,0.24011725,0.2716492,0.28379628,0.2739034,0.24573725,0.20675497,0.16147186,0.11743343,0.086769186,0.08795906,0.13235702,0.2153861,0.31136945,0.38897857,0.42824766,0.43045637,0.41054103,0.38286856,0.35277382,0.31699917,0.26991254,0.21391885,0.16256735,0.14058389,0.16421248,0.23320179,0.32182074,0.40230677,0.45370188,0.47718236,0.47868583,0.46795237,0.449087,0.42917374,0.41155854,0.39702603,0.3835921,0.3719941,0.3642042,0.35733962,0.34679174,0.33067754,0.31737167,0.31187424,0.3105812,0.2986734,0.27424654,0.2539914,0.26416495,0.3080765,0.36171615,0.39321747,0.39380762,0.37852833,0.36633635,0.3604574,0.3484291,0.3157052,0.2577102,0.18421023,0.11390293,0.06486439,0.047931742,0.06530023,0.112487756,0.18100648,0.2583396,0.33298,0.39253798,0.4304824,0.44410336,0.44237483,0.43558678,0.4331514,0.4332057,0.4354014,0.4372469,0.44076046,0.43933782,0.43308708,0.42462587,0.4247158,0.4309564,0.43192384,0.4107312,0.36310613,0.29599726,0.22312482,0.1555894,0.10227603,0.07148206,0.073678136,0.11336569,0.18362002,0.26023838,0.31770965,0.34209713,0.34347692,0.34062853,0.34539616,0.35176387,0.34684214,0.32303298,0.28244433,0.23101614,0.17647122,0.12906983,0.10273668,0.10623441,0.13929357,0.19197951,0.25148973,0.3044213,0.33868018,0.3499256,0.34315118,0.33081457,0.3204055,0.31268418,0.30234537,0.28400877,0.2530664,0.2089535,0.15681437,0.10725638,0.071536556,0.05908793,0.077691466,0.13228072,0.22096562,0.32616577,0.41911697,0.47194788,0.4796469,0.46129167,0.44230258,0.43218088,0.41899863,0.39093438,0.34797463,0.30588675,0.2760726,0.2617953,0.25452185,0.24574362,0.22741878,0.1989606,0.1668431,0.1464982,0.1531473,0.19135547,0.25096172,0.3119433,0.36038005,0.39072418,0.4092734,0.4173677,0.41472808,0.3914039,0.34790853,0.29331824,0.2527322,0.24420233,0.27012733,0.3132645,0.3535283,0.38256946,0.40052357,0.40964007,0.4045414,0.38387194,0.35130116,0.3166779,0.28179476,0.24240927,0.19399786,0.1449539,0.113688804,0.119596116,0.16733666,0.24316798,0.3194357,0.3725339,0.3923478,0.38737404,0.36935154,0.3488632,0.3261735,0.30378032,0.2825955,0.26875672,0.26354396,0.2679203,0.27595866,0.27806306,0.26273453,0.22813903,0.19088198,0.17786188,0.20843555,0.2703768,0.32836238,0.34461996,0.31558466,0.26735893,0.23710716,0.23522544,0.24834156,0.25313264,0.24648349,0.24190708,0.26011667,0.30349758,0.356244,0.39008728,0.38919094,0.35634866,0.30959454,0.26233897,0.21648282,0.16803525,0.11947495,0.08285932,0.073620684,0.09942106,0.15466934,0.21563251,0.25623843,0.26222843,0.2512729,0.25205013,0.28421286,0.33508265,0.3802127,0.40193903,0.4008678,0.38659862,0.3656871,0.3465356,0.33521178,0.3415959,0.3648754,0.39677367,0.41840336,0.41402626,0.37878922,0.31969216,0.24996412,0.18134332,0.126247,0.096298635,0.09773914,0.12676804,0.16940235,0.21269591,0.2469457,0.27129987,0.2851857,0.29097602,0.28901228,0.28250754,0.2755687,0.27192953,0.27443573,0.28110847,0.28764924,0.282439,0.2552855,0.20512547,0.14909987,0.114899814,0.12067262,0.16318473,0.21759875,0.26046568,0.2810507,0.2882183,0.28942212,0.2861546,0.27161407,0.25412408,0.25154576,0.27917305,0.32311764,0.35099337,0.3362423,0.2827032,0.21982235,0.17804651,0.1700344,0.18587373,0.2089959,0.2277847,0.24173649,0.25579783,0.27472138,0.3002447,0.32646796,0.34159017,0.33231786,0.2962191,0.24436976,0.19322956,0.15404163,0.12924173,0.1218603,0.1360451,0.17556119,0.23192006,0.28881463,0.32386371,0.3236148,0.2865776,0.2308576,0.18091331,0.15520634,0.15158063,0.15472877,0.15077148,0.14139678,0.14192067,0.16684984,0.21694405,0.27787152,0.33350873,0.37466136,0.39917216,0.40414894,0.38955402,0.36173895,0.33527175,0.31851864,0.31063494,0.30097565,0.2829514,0.25541195,0.22713573,0.21074493,0.21604759,0.23959689,0.26207662,0.2643964,0.24281128,0.2216409,0.23034745,0.28301695,0.35383895,0.39969635,0.38463402,0.31162173,0.21025272,0.118593454,0.05657934,0.025849102,0.015237904,0.0133646615,0.012785691,0.011032816,0.008384801,0.006901167,0.010948132,0.028017724,0.06609624,0.128334,0.20844837,0.29069427,0.3563421,0.3897638,0.387568,0.35709497,0.31431434,0.27077425,0.23401324,0.2068765,0.19411927,0.19581984,0.20704783,0.21989964,0.23099774,0.24093378,0.24817957,0.24899788,0.2411542,0.22949548,0.22311254,0.23185073,0.26241353,0.31509688,0.3811914,0.44202337,0.4781263,0.4776009,0.44685116,0.40312162,0.3691372,0.35963917,0.37781146,0.4098052,0.42672813,0.40386495,0.33767042,0.25876522,0.20467377,0.19785817,0.22515745,0.26036096,0.27967536,0.27817404,0.2563374,0.21770419,0.16536503,0.109641336,0.0625458,0.031912144,0.018506622,0.023793653,0.055971216,0.124886476,0.22650683,0.336388,0.4171207,0.44154176,0.40548298,0.33277723,0.2633675,0.23431063,0.25970563,0.3196213,0.37904906,0.41039935,0.41157165,0.3945208,0.36889002,0.3364974,0.29509553,0.2521925,0.22262873,0.22585745,0.2678516,0.33745208,0.40929258,0.46427503,0.4962128,0.5134973,0.5265968,0.54409033,0.5661384,0.5807201,0.5732472,0.53508884,0.48303545,0.44194865,0.4327203,0.44650915,0.45728317,0.4376451,0.37989387,0.29667333,0.2109385,0.14757404,0.12681401,0.15915303,0.23672152,0.33234066,0.41142485,0.45171824,0.45202377,0.43255255,0.4157449,0.42258278,0.45090792,0.48947144,0.50972646,0.50229496,0.46740258,0.42788646,0.39378464,0.3688656,0.34250537,0.3107051,0.26997802,0.22342737,0.17876482,0.15672927,0.17671113,0.23923326,0.3141177,0.36387816,0.37473202,0.36606416,0.36746928,0.38510206,0.4007094,0.384936,0.32927194,0.24774666,0.17745984,0.15083796,0.18106844,0.2512186,0.33215034,0.4010545,0.44933417,0.47115853,0.45638683,0.3975825,0.3058742,0.21437065,0.16277736,0.17498058,0.24148726,0.32805392,0.39857328,0.43978214,0.45902446,0.460978,0.43750575,0.3747295,0.2814057,0.1849979,0.118324846,0.09159902,0.09432799,0.10856419,0.12475402,0.14474279,0.16961396,0.19493759,0.20729794,0.1967149,0.16119741,0.11215875,0.0653164,0.034640253,0.027486578,0.048774894,0.10161716,0.18294172,0.2785984,0.36682332,0.42925015,0.4597765,0.4659052,0.4641396,0.4686153,0.48087332,0.48663297,0.4709415,0.4353801,0.40044987,0.38630083,0.3944728,0.40689158,0.4042153,0.37679473,0.33004156,0.27440295,0.2272378,0.20346327,0.21290582,0.24791993,0.29076105,0.32276297,0.33642197,0.331978,0.31325912,0.28374466,0.24858402,0.21112521,0.17300439,0.1333936,0.09484691,0.06312927,0.047132548,0.055777967,0.09342742,0.15599906,0.22704673,0.28756106,0.3240629,0.33780468,0.33650196,0.32905343,0.31897876,0.3091928,0.30047032,0.29249057,0.2798861,0.26014253,0.23683494,0.22304033,0.22759207,0.2459826,0.25841334,0.24558572,0.20316787,0.14390725,0.08740631,0.046988666,0.02604293,0.01978547,0.0218258,0.028474241,0.040890004,0.064252436,0.10373858,0.16608052,0.25315276,0.35988688,0.46031335,0.52397156,0.53047925,0.49508584,0.4466263,0.40741244,0.37082455,0.32424596,0.2669064,0.22147287,0.21276462,0.24683686,0.30489078,0.35752356,0.38977244,0.40107164,0.39820158,0.3774424,0.33742225,0.28725082,0.25104213,0.245158,0.26535007,0.28986666,0.29922637,0.2877302,0.25910625,0.21885282,0.17015357,0.11922965,0.07618215,0.05497068,0.06774148,0.11778005,0.19340934,0.268755,0.31956568,0.3397541,0.34483063,0.3566948,0.38196197,0.4112486,0.42893085,0.4324591,0.4300541,0.43141648,0.43568888,0.43398884,0.41976628,0.39360282,0.3600768,0.32336536,0.28737912,0.2576892,0.2396006,0.23423731,0.24042559,0.2542923,0.27480176,0.29839793,0.32294056,0.34211493,0.35251102,0.3499972,0.33503592,0.307878,0.27380309,0.24071418,0.21798354,0.20929183,0.21110122,0.21682233,0.22014515,0.21598232,0.19935866,0.16867657,0.13006775,0.0968807,0.085992806,0.10961946,0.17105587,0.2598487,0.35657692,0.44005868,0.49928775,0.53440434,0.5522795,0.55510294,0.54072237,0.5060565,0.459618,0.41605234,0.39143452,0.3855411,0.38853025,0.3844266,0.36922634,0.3468182,0.32806468,0.31886843,0.32039168,0.3290796,0.33993387,0.34886655,0.35019135,0.34220698,0.32530096,0.30804512,0.29590717,0.290089,0.28334507,0.2712846,0.2589595,0.254854,0.26283982,0.2731336,0.27981114,0.28512347,0.29695022,0.30843472,0.29743043,0.25060692,0.17979066,0.12240144,0.10898149,0.14897035,0.22164904,0.29283965,0.3270149,0.3084992,0.24997996,0.1884845,0.16169739,0.18464994,0.24382655,0.31130123,0.36463234,0.39820233,0.4173012,0.4320825,0.44350436,0.44966075,0.44062376,0.41250286,0.3608235,0.29062903,0.21143605,0.1429631,0.10620912,0.11585268,0.16900444,0.24610455,0.31847236,0.36157334,0.36156425,0.32212245,0.26570335,0.22623445,0.22790997,0.26455942,0.30628166,0.32603994,0.3242284,0.3183392,0.31742322,0.30889443,0.27442518,0.2119134,0.13886882,0.07832989,0.045444865,0.046504427,0.08246698,0.14880447,0.2341996,0.32275334,0.3990439,0.4498866,0.46612906,0.4484512,0.40868625,0.36471167,0.32533157,0.29151776,0.2617289,0.24003094,0.22709239,0.21386164,0.18792611,0.14556503,0.09788314,0.059146088,0.038144436,0.03636205,0.052531958,0.085312285,0.12675843,0.1681705,0.2034337,0.24150653,0.29127425,0.35306203,0.40754238,0.43614578,0.43002665,0.3983369,0.35242975,0.30386382,0.25805813,0.22307764,0.20405908,0.20595463,0.22444697,0.25296506,0.28060472,0.3018843,0.31267762,0.31549987,0.31330788,0.31032404,0.30554733,0.295651,0.27594265,0.24719852,0.21904741,0.20639813,0.22129719,0.2587676,0.30410954,0.33706722,0.3500665,0.34203362,0.3237121,0.3066692,0.30273065,0.3119068,0.3236843,0.32108107,0.2940227,0.2454062,0.19275074,0.15804774,0.15635718,0.18358065,0.21975799,0.24094374,0.23787914,0.21696724,0.19169062,0.1662683,0.13747509,0.10172986,0.064286105,0.03376952,0.015625002,0.008388148,0.00762577,0.009423494,0.011652958,0.013075558,0.013118745,0.011736329,0.009558027,0.0073413756,0.0057409774,0.004949895,0.0047947536,0.004877659,0.004860842,0.004612764,0.0042500417,0.006055802,0.016398394,0.046554714,0.10386932,0.18355072,0.26527405,0.3283367,0.3637136,0.37726268,0.37678814,0.36508334,0.34249374,0.31286892,0.28445694,0.26234436,0.2472533,0.23551519,0.22609824,0.2186389,0.21267134,0.2043931,0.19258602,0.1799017,0.17269959,0.17160083,0.17441471,0.17685105,0.1816917,0.18969142,0.19942868,0.20290415,0.19687182,0.18472046,0.17515504,0.17434692,0.17964125,0.1829315,0.1732766,0.14790659,0.11194227,0.07950019,0.063467674,0.073637165,0.11088113,0.16853197,0.2279842,0.26830932,0.27293018,0.24531643,0.20308982,0.17249626,0.16535138,0.17862917,0.19608079,0.21173465,0.22999914,0.26073256,0.30025503,0.3330041,0.34290013,0.32685542,0.29861012,0.27717173,0.27551255,0.28733906,0.29445922,0.27987036,0.24678387,0.21377163,0.19961421,0.20582461,0.22121792,0.23435962,0.24177063,0.2409541,0.22545378,0.18847667,0.13460964,0.07892951,0.03830588,0.020480609,0.027198168,0.06142519,0.12707941,0.22003095,0.31556994,0.3815168,0.39600432,0.37174082,0.3360448,0.3129564,0.3017244,0.2983432,0.30512133,0.33054915,0.3723339,0.41305456,0.43626177,0.43514398,0.41577974,0.3869742,0.3574523,0.3344551,0.32194683,0.31986618,0.32530358,0.33315983,0.33890232,0.3351381,0.31872883,0.28869036,0.24957977,0.20487113,0.15984572,0.1241509,0.11164733,0.13351414,0.18443604,0.2452774,0.2907983,0.3118564,0.31186143,0.3022076,0.28378794,0.2565947,0.22293788,0.193435,0.174275,0.16520888,0.16208196,0.16405301,0.17316157,0.19325,0.22471035,0.26332894,0.29526427,0.3090806,0.29977208,0.27725422,0.2507431,0.22648895,0.20053391,0.17047445,0.13763179,0.112612724,0.10886697,0.1327437,0.17504255,0.21211338,0.22613184,0.21907125,0.21449141,0.22910826,0.25552827,0.26367202,0.2332493,0.17117958,0.10763953,0.06953923,0.06499664,0.08404832,0.112277955,0.14445467,0.18467104,0.23882718,0.30114147,0.35634997,0.3897158,0.39797327,0.3908662,0.3793913,0.37236702,0.36833748,0.3649126,0.3566123,0.34420443,0.33026704,0.32064644,0.31645945,0.31205368,0.29571894,0.25798613,0.1999342,0.1355289,0.084712304,0.06469476,0.07950301,0.12113228,0.17081217,0.21452023,0.24516706,0.26705423,0.28117564,0.28705132,0.27998647,0.2629479,0.23868118,0.211142,0.18094032,0.15691102,0.15283655,0.17890091,0.23069496,0.28943297,0.3371131,0.35830045,0.3489504,0.310495,0.26463383,0.23802428,0.25406393,0.30364776,0.35979557,0.38894334,0.3839375,0.3551147,0.32685208,0.31209412,0.31396118,0.32069138,0.32064003,0.3053011,0.2768145,0.23872882,0.1945876,0.14496599,0.095200635,0.052855507,0.02498897,0.011667303,0.008738375,0.012928617,0.025727674,0.051984966,0.090285964,0.13376151,0.1728941,0.21183522,0.25690913,0.31092596,0.3566815,0.3811501,0.3799763,0.36849043,0.35693076,0.35130677,0.3470244,0.3395292,0.3222803,0.29213396,0.25684837,0.23279935,0.23657675,0.26639032,0.30596077,0.33398923,0.34007275,0.32458988,0.29616162,0.2683532,0.25627816,0.2690041,0.30036756,0.33035266,0.33729044,0.3137175,0.26975334,0.22356093,0.18618111,0.1604352,0.1481119,0.15936822,0.20083112,0.26300284,0.3152492,0.3282841,0.2931909,0.2267477,0.15576397,0.10349187,0.08451871,0.10299351,0.15220223,0.21345656,0.26767978,0.30171168,0.31625685,0.31490803,0.3050851,0.28954673,0.27588603,0.26791278,0.27074996,0.28023577,0.29022726,0.29056528,0.2768059,0.24814534,0.20924574,0.16674483,0.1303419,0.10869885,0.106446736,0.11997072,0.1411947,0.15902157,0.16508411,0.15493865,0.13525401,0.12179441,0.1318803,0.16958648,0.21982603,0.25899515,0.27033052,0.2563278,0.23209383,0.21671326,0.2212563,0.2449965,0.27477637,0.29000974,0.27548492,0.22910155,0.16548719,0.105652444,0.0685941,0.0639075,0.08970534,0.13482143,0.18230568,0.21921724,0.23922092,0.24513416,0.24272197,0.23836674,0.23392744,0.22744216,0.21645945,0.20363428,0.19690359,0.20282413,0.22113071,0.2440864,0.26431254,0.2784587,0.28928086,0.29778135,0.3028487,0.30005297,0.28910366,0.26924324,0.23939256,0.19556856,0.1411037,0.08599862,0.043408696,0.0185444,0.008942322,0.0094976425,0.019415434,0.043911118,0.08884505,0.15559898,0.23437195,0.30962643,0.36580428,0.40000144,0.4159665,0.41743562,0.39619622,0.34624338,0.27766284,0.22273342,0.21127068,0.24469507,0.28998485,0.3051126,0.2717856,0.21002997,0.16099311,0.15727971,0.20086598,0.26828352,0.32824305,0.36178687,0.36940458,0.36688128,0.37086844,0.38348436,0.39131144,0.37915766,0.3464338,0.30757272,0.27872962,0.26813245,0.2730939,0.2853561,0.2905828,0.2755336,0.23337622,0.17184053,0.107398175,0.05627821,0.024959622,0.011846345,0.013733233,0.03262025,0.0733599,0.13622768,0.20947152,0.27364787,0.31393358,0.33021617,0.33479956,0.33934584,0.34619597,0.34979883,0.34484628,0.33409795,0.32349837,0.31964305,0.3193138,0.31808615,0.31207725,0.30678937,0.30595943,0.30620536,0.2962462,0.2702896,0.23572361,0.20731457,0.19411154,0.19281577,0.19380374,0.19015302,0.18048503,0.16643232,0.14774959,0.12574168,0.10462752,0.09661606,0.11201503,0.15231256,0.20056565,0.23374484,0.23751946,0.21809341,0.19294429,0.17534702,0.16768812,0.16595584,0.16766538,0.1710942,0.17206967,0.16430338,0.14604269,0.12798385,0.12987234,0.16788363,0.23768918,0.31542197,0.37157547,0.3921498,0.38134304,0.3547027,0.32585096,0.30293825,0.28827795,0.28065446,0.27814984,0.28055152,0.2901144,0.3086376,0.33348873,0.35739413,0.37202498,0.37479225,0.36955085,0.36266682,0.3552734,0.34519038,0.32919815,0.309643,0.28768823,0.26423547,0.235216,0.19937693,0.15706636,0.11353705,0.07524163,0.050202414,0.04688805,0.07325796,0.13215144,0.21539958,0.30260515,0.37006715,0.40238103,0.4007295,0.3771253,0.34795746,0.32410648,0.31073022,0.30468377,0.3001304,0.29123738,0.27718195,0.26035932,0.24418004,0.23047864,0.21855386,0.20589755,0.18897237,0.16863315,0.15197295,0.15200081,0.17599076,0.22001155,0.26588282,0.2936437,0.28898576,0.25447407,0.20720045,0.1731016,0.16948928,0.19520396,0.23009638,0.24977171,0.23812832,0.19741833,0.14373128,0.10132731,0.0865725,0.10241381,0.13446899,0.16472419,0.18067606,0.18472297,0.18605232,0.19329971,0.20554729,0.21740107,0.22310464,0.22428304,0.22629954,0.23626156,0.25165138,0.26238716,0.25438994,0.227643,0.19523813,0.17512542,0.16954064,0.16554089,0.1466868,0.11069667,0.06985911,0.042491157,0.040910397,0.07041726,0.12579596,0.19666792,0.26411387,0.31659886,0.3468723,0.36119416,0.36087468,0.34848508,0.3218679,0.2887679,0.26125792,0.25393748,0.2700744,0.30034414,0.3254788,0.33379307,0.32618272,0.31642956,0.3113872,0.31027195,0.3039572,0.29125398,0.27288255,0.25192747,0.22473218,0.18965237,0.14737442,0.10713113,0.082149595,0.0866551,0.12383965,0.18091942,0.23258549,0.25921652,0.25770894,0.24079643,0.2230229,0.21271987,0.21046273,0.21074544,0.20531559,0.18677469,0.15746227,0.12724778,0.107862204,0.100522496,0.098404944,0.09322041,0.08805088,0.09729234,0.13826686,0.21423733,0.30659732,0.38293386,0.41529822,0.3953266,0.33359003,0.25469783,0.18595873,0.15036488,0.15347975,0.18353349,0.2193648,0.24574383,0.25931755,0.26195323,0.25834632,0.25099012,0.24537879,0.24048494,0.23089947,0.20711689,0.17070317,0.13698658,0.13045783,0.16379447,0.22967662,0.29947892,0.34755635,0.35935816,0.3419771,0.30652514,0.2660405,0.22665739,0.1953097,0.17644447,0.169535,0.165318,0.15103634,0.12142142,0.082410775,0.047353353,0.027698725,0.03069122,0.058645364,0.108562976,0.17044382,0.23044543,0.27902392,0.31347132,0.33653072,0.34836817,0.35002974,0.3443459,0.33995903,0.34293613,0.35297343,0.3627816,0.36418915,0.35418442,0.33508286,0.3134936,0.29409242,0.2766639,0.25359476,0.2173013,0.16621797,0.110453635,0.065640114,0.048867967,0.07054166,0.12881008,0.20220876,0.257898,0.27327406,0.25759742,0.24189378,0.24950747,0.26948053,0.27270773,0.24141215,0.19311039,0.16123599,0.16792287,0.20239367,0.23637946,0.24596934,0.22875606,0.19483425,0.15482007,0.11363495,0.077042885,0.05517517,0.059170227,0.0909253,0.13961871,0.1826836,0.20018685,0.18342169,0.14462063,0.1062968,0.09057719,0.10288062,0.13310114,0.16358934,0.1831612,0.19185889,0.19634616,0.20231207,0.20885628,0.21236785,0.20894808,0.20063305,0.18958919,0.17967932,0.1697185,0.16279201,0.1605668,0.16755785,0.17746437,0.18102944,0.16743475,0.14146422,0.11773483,0.11333891,0.13077547,0.15850909,0.17971551,0.18385486,0.17057002,0.1455233,0.11843794,0.09993345,0.10074406,0.12468948,0.16514838,0.205642,0.22930568,0.2290544,0.21083671,0.18795176,0.1695,0.15459491,0.13608176,0.11110581,0.08756625,0.0783855,0.09112975,0.1203948,0.15170777,0.1699385,0.16671626,0.14359504,0.10871792,0.073586755,0.04647013,0.0330227,0.035904296,0.058494627,0.100723945,0.15733714,0.21817398,0.27389422,0.31998134,0.35188434,0.3660698,0.36052796,0.34514776,0.3348273,0.3413967,0.36077133,0.37773624,0.37914824,0.3661649,0.35423842,0.35707888,0.3749386,0.39232865,0.39547467,0.38126957,0.35675427,0.32338575,0.27572146,0.21072178,0.1401083,0.087694764,0.07527996,0.109382756,0.1764613,0.24895537,0.30214074,0.3265396,0.33048776,0.3254104,0.31687677,0.30499995,0.28921744,0.2715485,0.2512196,0.23108436,0.21535645,0.21253735,0.22561939,0.25021824,0.27599707,0.29104257,0.29284355,0.2841777,0.27257717,0.25449908,0.22370076,0.17560685,0.120711714,0.07577521,0.057217624,0.07277735,0.12158937,0.1933831,0.2703639,0.33089277,0.35643935,0.33615386,0.27553228,0.19756292,0.13746476,0.120476745,0.14477569,0.18267155,0.20308097,0.19851112,0.18332106,0.18040478,0.19475484,0.22204132,0.25042978,0.2799605,0.30857754,0.33692095,0.35531023,0.35770652,0.34041223,0.31263658,0.28681764,0.27351007,0.27386114,0.28280267,0.29219717,0.29111078,0.2683324,0.22004353,0.15863691,0.10903219,0.09210838,0.10950998,0.1427813,0.16838185,0.17241609,0.15559758,0.12635987,0.093391426,0.06377443,0.045652468,0.049459893,0.08260802,0.14184318,0.20984721,0.26323107,0.28694555,0.28305444,0.2661802,0.25090086,0.2436202,0.2436068,0.24666147,0.24808145,0.24229966,0.22756313,0.20685744,0.18770052,0.17403318,0.16287665,0.1464917,0.11962264,0.086107396,0.056634646,0.04466653,0.058026552,0.096696995,0.15069015,0.20402634,0.2403158,0.25239477,0.24557292,0.23529766,0.23316883,0.24131827,0.25066888,0.25441334,0.2505227,0.24113281,0.22399092,0.19552553,0.15865718,0.1280017,0.123428345,0.15514453,0.21347487,0.27182254,0.3045934,0.3028516,0.2763159,0.23953623,0.20272791,0.17173791,0.15318684,0.15113282,0.16201384,0.17415647,0.17559548,0.16006963,0.13042308,0.09530336,0.06702896,0.055550065,0.06685656,0.09770006,0.13963966,0.18228275,0.22282453,0.2608093,0.29312524,0.3123574,0.31681004,0.3182803,0.32874525,0.35184816,0.37298703,0.38027596,0.36551932,0.334106,0.28840166,0.23316783,0.1711247,0.11156239,0.06430086,0.038081832,0.037546907,0.0632301,0.11133087,0.17049022,0.22835433,0.27389655,0.30558825,0.32228518,0.3283188,0.32729006,0.3291453,0.3351309,0.3388506,0.32651117,0.2958953,0.258005,0.23170324,0.2264334,0.23998602,0.25949553,0.27389947,0.276541,0.2715319,0.26654193,0.2685014,0.27317306,0.26829025,0.24080627,0.19068849,0.13293332,0.091353334,0.083474,0.111962415,0.16294713,0.21537562,0.25127438,0.26360482,0.25550646,0.2358468,0.21373348,0.19663541,0.18947738,0.19477952,0.20919122,0.22281931,0.22094037,0.19536982,0.1510974,0.10753211,0.08528557,0.09369261,0.12393858,0.15612549,0.17448337,0.17591675,0.16820753,0.15765752,0.14611323,0.13406849,0.12564202,0.12505989,0.13041247,0.13411878,0.12772396,0.108737886,0.08112352,0.053619433,0.036677737,0.04071602,0.07433032,0.13669746,0.21324396,0.2774175,0.30906156,0.30665278,0.28862894,0.27534562,0.27656904,0.28626928,0.2922723,0.28288364,0.2558197,0.21488221,0.16919126,0.12509719,0.08870975,0.06452115,0.05739494,0.06740352,0.088730685,0.11015449,0.12113491,0.11616687,0.09874024,0.07896719,0.06927409,0.07580321,0.09505052,0.11535862,0.1252487,0.11965558,0.10131774,0.07684861,0.05266112,0.03412057,0.025590753,0.031794593,0.053548682,0.08884702,0.13014373,0.17241073,0.20957755,0.2388535,0.2553965,0.26035407,0.25775778,0.25498328,0.25332186,0.25049135,0.24082291,0.22284307,0.19772935,0.17094381,0.14694002,0.12686202,0.10871577,0.09035206,0.07414028,0.06208467,0.0547736,0.04930097,0.046064187,0.047711153,0.05685073,0.07244384,0.09454652,0.12657571,0.17037405,0.2157511,0.243901,0.2428757,0.22408228,0.21321373,0.22979896,0.26847336,0.30798328,0.32847038,0.32648084,0.31112644,0.29165164,0.2684606,0.23370455,0.1834904,0.12391576,0.06963653,0.031839218,0.013734691,0.013402547,0.030697033,0.06709161,0.119920395,0.18044321,0.23724453,0.28316808,0.31392217,0.32674265,0.32032922,0.30182752,0.28747618,0.2930608,0.31999496,0.3514967,0.3671621,0.3614796,0.34830263,0.34574255,0.35903314,0.37862125,0.39136812,0.3907112,0.37776157,0.3564966,0.3299496,0.29708,0.25542486,0.20512255,0.15738206,0.13264064,0.15081392,0.21505255,0.30457565,0.38752925,0.4395678,0.46007594,0.46027353,0.45060763,0.42617133,0.37939143,0.3086314,0.23111624,0.17316626,0.1575815,0.18765412,0.24364,0.30095658,0.34054768,0.36461452,0.375935,0.3815147,0.37624106,0.36277452,0.3427588,0.32841143,0.3277872,0.3456169,0.37536857,0.40628636,0.42782292,0.43440413,0.4242774,0.4009868,0.3699375,0.33630824,0.29774857,0.25073716,0.19723953,0.15165313,0.1319919,0.14873548,0.19777381,0.26353016,0.32451248,0.36135963,0.3641008,0.34119582,0.31299326,0.29969108,0.3031722,0.3114662,0.31043926,0.30076206,0.29357895,0.2978629,0.30828485,0.3125191,0.3037672,0.28839174,0.27392972,0.26330173,0.2512112,0.2374986,0.22248174,0.20697297,0.1843559,0.15330483,0.12351952,0.116062425,0.14842296,0.2184221,0.30663738,0.38305572,0.430052,0.43845573,0.41853943,0.38570026,0.36779186,0.38038376,0.42195585,0.4686515,0.49679342,0.4972154,0.4713405,0.42244115,0.34914815,0.25897,0.16953765,0.10517851,0.08124307,0.09830012,0.14437555,0.19948162,0.2443084,0.2637144,0.25839272,0.24033816,0.22798389,0.22971062,0.24560742,0.26986784,0.29882,0.32881728,0.3553269,0.37132517,0.36699796,0.33362952,0.27050194,0.19304591,0.12724034,0.098559596,0.11707693,0.17810273,0.26308742,0.35093382,0.4203787,0.46071824,0.46881023,0.45029005,0.4118717,0.36477423,0.3227816,0.30054283,0.30278242,0.3214709,0.3382254,0.33860007,0.31741932,0.28388694,0.2493161,0.22234584,0.19868094,0.17191054,0.14065352,0.118113555,0.11838954,0.14536957,0.1832078,0.21272492,0.21971714,0.20586388,0.1757199,0.1378554,0.09712258,0.06196612,0.039316628,0.03746103,0.061021823,0.10877887,0.1698627,0.22589375,0.2597423,0.26236308,0.23650078,0.19356216,0.1502618,0.12375688,0.12389833,0.14998516,0.18987395,0.23176794,0.26741847,0.29609227,0.31454447,0.3185402,0.30296305,0.2704459,0.22976536,0.19235432,0.16674273,0.15549822,0.15576093,0.15758269,0.15130275,0.13330354,0.11360385,0.10581547,0.11576315,0.13466345,0.15062122,0.1624012,0.17990512,0.21197581,0.25371504,0.29178235,0.31586185,0.32794216,0.33636215,0.3462739,0.35653058,0.36220667,0.36151278,0.35344028,0.3392913,0.32047954,0.29816934,0.27021945,0.2299822,0.17618008,0.11563638,0.06412499,0.033848673,0.032132734,0.060418814,0.11526552,0.18387572,0.24442072,0.27851608,0.28329465,0.2743065,0.27064204,0.27902827,0.2912272,0.29326978,0.28204694,0.2635738,0.24921422,0.24128783,0.23692702,0.22811556,0.21036315,0.18283312,0.15376598,0.14167497,0.16656965,0.23762369,0.33518758,0.42408076,0.46737778,0.4595345,0.41713953,0.37051165,0.33294818,0.30581418,0.28348014,0.26891375,0.2677665,0.28114346,0.29964232,0.30973876,0.3025819,0.278353,0.24475376,0.21357596,0.19918345,0.21075802,0.2448725,0.2819073,0.30151367,0.2962233,0.27603185,0.25155684,0.22743122,0.20448594,0.19441326,0.21477799,0.27497545,0.36151993,0.44246897,0.48898348,0.49041402,0.46077493,0.41977024,0.382473,0.34733215,0.31079486,0.27346662,0.25197774,0.26058838,0.30094597,0.34858188,0.3808118,0.39134327,0.40100634,0.42332962,0.4528922,0.46382165,0.44051018,0.38455403,0.31341302,0.24579777,0.20044202,0.18999188,0.2179476,0.26987755,0.32534897,0.3659823,0.3892726,0.39713848,0.3894857,0.35768774,0.2968309,0.21868229,0.14958234,0.11850098,0.13337815,0.1849993,0.24815714,0.30824527,0.35416496,0.3910505,0.41718698,0.43708596,0.4449,0.44435072,0.43591788,0.4268429,0.41301158,0.38550672,0.33399573,0.26548776,0.2066236,0.18777674,0.22056226,0.28616312,0.3508301,0.38848546,0.39585635,0.38744202,0.37816158,0.37052163,0.35520485,0.32672295,0.29374087,0.27346852,0.273569,0.2855841,0.29408357,0.29254708,0.28551805,0.27985397,0.27610555,0.26675677,0.24539822,0.21023847,0.16998923,0.13829723,0.1312865,0.15493776,0.2010258,0.24777989,0.276901,0.28098777,0.2659555,0.23698671,0.19896735,0.15641645,0.121675186,0.10707804,0.115930416,0.13827069,0.15931189,0.17537592,0.19266732,0.21911941,0.24890439,0.2697908,0.27192453,0.26116827,0.25146252,0.2569386,0.27798983,0.3040637,0.3192215,0.31673315,0.2995349,0.2790137,0.2619982,0.25112978,0.2418865,0.23321898,0.22566588,0.22388457,0.22637975,0.22580923,0.21001732,0.1752638,0.13137247,0.10181027,0.10689213,0.15259288,0.2191524,0.27746525,0.30172417,0.29308924,0.26743677,0.245458,0.23134987,0.22166568,0.21300483,0.2096105,0.2155476,0.22820097,0.24005868,0.24471585,0.24043782,0.22595668,0.20099783,0.16849542,0.14185904,0.13565381,0.1579066,0.19841439,0.24083309,0.26953945,0.28305244,0.28673285,0.2923201,0.30336514,0.317831,0.3255444,0.32550624,0.3221499,0.32198906,0.3165722,0.2923015,0.24569374,0.19679314,0.17388786,0.18750308,0.21858014,0.23395313,0.21593224,0.17723745,0.14981265,0.16065778,0.2076179,0.26362306,0.29096866,0.27558184,0.23145024,0.19170928,0.17690514,0.18489051,0.20138264,0.21690428,0.23532791,0.26004827,0.2869506,0.3003129,0.2872188,0.24722652,0.19628282,0.15740941,0.14625044,0.1633041,0.19341855,0.21748762,0.22170146,0.20474298,0.17471091,0.14490984,0.12686883,0.12694213,0.14391117,0.17397495,0.21140154,0.25085846,0.28178215,0.2955018,0.28741053,0.26354104,0.23257886,0.20341218,0.18098252,0.16855602,0.16672267,0.17383368,0.18668276,0.20137404,0.21275274,0.21331692,0.19669849,0.16369088,0.1277937,0.111407615,0.1343832,0.19918619,0.2868223,0.36536574,0.4106379,0.4166813,0.39534187,0.36093763,0.32229903,0.2831125,0.2469516,0.2213427,0.20850979,0.20396656,0.19295968,0.16609849,0.12515469,0.08702853,0.07192873,0.09232605,0.14639352,0.21753259,0.28297493,0.32302752,0.3303587,0.31111786,0.27775097,0.24307744,0.2128747,0.18969758,0.17312145,0.16816837,0.18206793,0.22037351,0.27462128,0.32419014,0.3468404,0.33680007,0.3067752,0.27785337,0.262028,0.2588043,0.26026106,0.26004067,0.25290588,0.2338459,0.2013642,0.16562042,0.1475151,0.16324687,0.20770912,0.25334385,0.27406183,0.2646427,0.24527459,0.23519473,0.2389679,0.24271806,0.23756455,0.22521384,0.2185635,0.22474702,0.2433636,0.26426277,0.27609238,0.26966634,0.24672113,0.21791752,0.19589464,0.18212746,0.16882034,0.14916657,0.13001566,0.12471358,0.13784365,0.15740363,0.16674872,0.16427541,0.16020013,0.1631641,0.16376595,0.14965972,0.11766637,0.08126854,0.053991463,0.040787637,0.03648341,0.03458196,0.031592723,0.027483933,0.025573572,0.033222314,0.06301457,0.12419772,0.2134732,0.3085909,0.38240072,0.42010352,0.42814755,0.42365637,0.41730368,0.4091442,0.39217794,0.3632516,0.3234984,0.2798102,0.24037771,0.21203275,0.1933354,0.17514856,0.14797778,0.11539381,0.095553465,0.10952839,0.16140477,0.23127721,0.28486928,0.2958756,0.2597315,0.19489682,0.12908666,0.08719781,0.082049586,0.111665525,0.16258776,0.21389164,0.250219,0.2632341,0.2588487,0.24661024,0.24041714,0.2460047,0.2642639,0.28635505,0.3039367,0.30918774,0.30165336,0.28291535,0.25619283,0.22188617,0.18014771,0.13379537,0.08900068,0.053306673,0.029909879,0.017736902,0.012280505,0.010013808,0.009506864,0.013406443,0.029110566,0.06707067,0.13257492,0.21648051,0.29377434,0.33684275,0.33214456,0.28969133,0.23624723,0.20042641,0.19711834,0.22025888,0.2509636,0.27100742,0.2775358,0.27992103,0.29219565,0.31836954,0.34715286,0.35575247,0.32443693,0.25533384,0.17381947,0.116897434,0.10726268,0.142931,0.1981678,0.24260469,0.25474006,0.23190297,0.18690045,0.14317106,0.12420655,0.14081095,0.18606454,0.23651497,0.27239892,0.2822939,0.27041182,0.24461801,0.21927921,0.20822696,0.21714623,0.23737542,0.25106502,0.25352445,0.25438216,0.26925337,0.29806575,0.32858437,0.34534463,0.34299386,0.3249041,0.30061254,0.2767119,0.2585455,0.24764383,0.2500454,0.2654146,0.2880349,0.30215737,0.30019972,0.28395393,0.26148674,0.23522781,0.2076432,0.19335449,0.21489573,0.28323594,0.37866572,0.46433544,0.50855285,0.503519,0.45819625,0.39262554,0.32955465,0.28884605,0.2733253,0.26514843,0.2411744,0.19628818,0.15306579,0.14179589,0.17483889,0.2325079,0.279085,0.28814316,0.26229802,0.22711796,0.2101934,0.22047083,0.24800484,0.27615267,0.2964501,0.3082105,0.3136855,0.30792153,0.28348836,0.23723978,0.18383439,0.1478548,0.15087305,0.1909504,0.24885546,0.2976115,0.32470477,0.32984415,0.32751095,0.32819548,0.3372036,0.3428924,0.33085823,0.2894079,0.22620194,0.16242097,0.12651335,0.13355379,0.17746274,0.22918278,0.2578353,0.24927075,0.21786709,0.19068624,0.1887893,0.21227534,0.24701555,0.27318212,0.27674696,0.25094238,0.20096819,0.14008085,0.086486705,0.05457596,0.05213974,0.0787613,0.12537746,0.17571096,0.211899,0.22482395,0.21968472,0.21052623,0.2087276,0.21379824,0.21573086,0.2037081,0.17393957,0.13366966,0.09807233,0.087245286,0.11449438,0.17649145,0.24748392,0.29658723,0.3123711,0.31395707,0.33051398,0.37230423,0.42333415,0.4598763,0.46848717,0.45108247,0.41488966,0.37232408,0.33249894,0.30605373,0.29685175,0.30710554,0.3275137,0.33889675,0.31908545,0.26285422,0.1931477,0.15071784,0.16599233,0.23603404,0.31969473,0.366106,0.34373847,0.2647824,0.16907786,0.10246956,0.09009156,0.13348307,0.21227366,0.29377428,0.3454748,0.35027114,0.31516606,0.2627112,0.21332236,0.17307146,0.13806699,0.10713905,0.08823349,0.09241908,0.12377115,0.17394297,0.22515123,0.2593373,0.2668877,0.25209174,0.22663699,0.20223118,0.18485112,0.17748384,0.18130963,0.19340128,0.2067288,0.21480872,0.21744706,0.22006571,0.22612517,0.23422502,0.23804103,0.23358332,0.21977341,0.1992894,0.17341971,0.14354855,0.112478234,0.089612484,0.086289905,0.10817035,0.1466228,0.18366753,0.20313378,0.20124854,0.18478747,0.16487543,0.14922373,0.14128172,0.13894635,0.13728377,0.13002725,0.11369303,0.089749314,0.06545984,0.052522946,0.061915174,0.09866234,0.1552795,0.21433334,0.25505885,0.26561856,0.24680926,0.21183765,0.18009384,0.17002998,0.18478705,0.20782451,0.21047513,0.18147838,0.13474499,0.1025571,0.10192122,0.1281045,0.15851496,0.17871642,0.18810461,0.19704777,0.20984857,0.22010255,0.21850438,0.20478725,0.18994339,0.1818965,0.1776269,0.16613497,0.14664756,0.13373494,0.14774829,0.19430043,0.25898162,0.31500638,0.34420046,0.3409352,0.31730032,0.28483078,0.25388107,0.22080861,0.18192512,0.13520071,0.08987222,0.058864433,0.053698163,0.07606462,0.114938684,0.14961898,0.16066377,0.14192541,0.10328872,0.06337553,0.03851663,0.03849036,0.06433276,0.10919458,0.1580891,0.19501555,0.21087348,0.20702815,0.19261771,0.1753846,0.16138373,0.15027994,0.14154465,0.12964128,0.11219383,0.087521195,0.06084517,0.03812743,0.027055902,0.034108434,0.06536608,0.121097125,0.19031589,0.2528061,0.2883209,0.2894329,0.26087394,0.21548134,0.16379137,0.11576719,0.07991737,0.06628485,0.07843652,0.11011102,0.14657767,0.17892762,0.21078467,0.25148574,0.29955295,0.34011677,0.3581232,0.35239935,0.3349822,0.31964698,0.3145872,0.3203682,0.33068848,0.33053324,0.3036801,0.24408114,0.1668995,0.10017458,0.06966541,0.08177156,0.12346327,0.17044272,0.20421799,0.22142507,0.23244393,0.24889863,0.27286467,0.29848257,0.3177632,0.32755497,0.32469666,0.30912104,0.28236812,0.253799,0.22883798,0.20676632,0.18068284,0.15498008,0.14831878,0.17931305,0.24582933,0.3185226,0.36493185,0.36799073,0.33907413,0.3009551,0.27747086,0.27631178,0.28881693,0.29456523,0.27983877,0.24922717,0.22157912,0.21325624,0.22478049,0.24086364,0.24148649,0.21362537,0.16125357,0.10070252,0.051810786,0.022912854,0.012201744,0.012715285,0.022223206,0.041540805,0.0721933,0.11226126,0.15842907,0.20411374,0.24240048,0.26363155,0.26320335,0.23868524,0.19619279,0.14338012,0.0927895,0.053838033,0.035314966,0.043051213,0.08190619,0.14869215,0.22785802,0.294089,0.32863137,0.33090082,0.31731167,0.3036203,0.2926059,0.27385268,0.23809546,0.18905102,0.1466984,0.13446389,0.16286147,0.21869735,0.27427176,0.30732608,0.31355178,0.30264196,0.28025618,0.24586844,0.19707829,0.14648123,0.11277538,0.11315063,0.1436433,0.18980466,0.23192321,0.26205194,0.2772473,0.2794608,0.2724419,0.26327595,0.2621349,0.27051982,0.28282648,0.28298756,0.26142535,0.21832907,0.17252852,0.14699417,0.15786971,0.20070629,0.2618266,0.3265755,0.38949415,0.439628,0.4607419,0.43267664,0.35603058,0.2554051,0.17380111,0.14378007,0.17179425,0.2333498,0.29320624,0.32420748,0.3243338,0.3060385,0.2848411,0.2609376,0.2323821,0.20185165,0.18873437,0.20412292,0.24058163,0.26524055,0.252663,0.20061237,0.13637866,0.091627665,0.08627438,0.12098393,0.1822557,0.2516527,0.31127802,0.3527762,0.37498894,0.38277575,0.37923598,0.36792347,0.3514936,0.3322152,0.30952373,0.28167608,0.24833113,0.21049099,0.17226447,0.14206155,0.13092741,0.14330508,0.16993482,0.19518171,0.21121824,0.22476196,0.24558592,0.27222872,0.29052666,0.28406584,0.24996679,0.20078973,0.1635359,0.16090344,0.20086253,0.26515588,0.3256787,0.36083218,0.37047562,0.36705235,0.36196986,0.3568082,0.34551957,0.32365885,0.29170096,0.25508258,0.21667951,0.17567514,0.13040888,0.08444462,0.0457484,0.020527592,0.008936433,0.006244231,0.008176739,0.01516744,0.033267062,0.06960698,0.12568928,0.19494319,0.26927888,0.3421286,0.4081532,0.4541309,0.4700166,0.4527687,0.41773796,0.37792304,0.3419738,0.3022912,0.2540379,0.19793046,0.15118901,0.13309513,0.15138711,0.19076383,0.2210585,0.2195008,0.18290575,0.12822,0.075365014,0.03854745,0.021973407,0.026061982,0.049601663,0.089867614,0.14048605,0.19158871,0.23303074,0.2566705,0.2575191,0.2349007,0.19559997,0.15698083,0.13998495,0.15655105,0.19928916,0.24795806,0.28476813,0.3034836,0.30698505,0.29943985,0.28549838,0.27067456,0.26063225,0.25687748,0.2558579,0.251102,0.23567064,0.20617668,0.16548505,0.12674329,0.10619348,0.11527433,0.1498723,0.19426264,0.22862054,0.24175297,0.23574692,0.22145529,0.20948064,0.20223735,0.2005847,0.20618463,0.22189403,0.24082541,0.24984056,0.23934221,0.21439981,0.18998802,0.17861849,0.1804993,0.18686247,0.18937767,0.18927063,0.19143952,0.1965298,0.19420259,0.17517112,0.14009577,0.10551656,0.09201875,0.11445436,0.17208405,0.24842565,0.31785724,0.3574572,0.36016607,0.33337805,0.2912164,0.24114275,0.18671405,0.13251041,0.091121905,0.07693905,0.09991031,0.15650891,0.23069914,0.2977928,0.33914772,0.34853506,0.33452594,0.30936885,0.28137973,0.25069597,0.21315582,0.16995172,0.13116524,0.11354309,0.12673394,0.16646779,0.21667041,0.26025558,0.28889465,0.3023238,0.3051783,0.29959866,0.2863437,0.2646012,0.23550285,0.19972168,0.16081263,0.12537919,0.106185794,0.11085627,0.13737081,0.16873133,0.19047229,0.19609387,0.19449097,0.19236481,0.19240434,0.18810725,0.17686747,0.15883034,0.13687536,0.11184403,0.08475086,0.06054989,0.045308515,0.04211927,0.046538446,0.052766055,0.061440628,0.08357487,0.1303081,0.19853687,0.26612243,0.30588183,0.30575538,0.27454844,0.23163885,0.18953066,0.1513177,0.11701667,0.09386479,0.096334904,0.13294132,0.19718553,0.26132634,0.2989075,0.29413733,0.2562907,0.19986637,0.14179032,0.08940045,0.049232986,0.022739483,0.009310181,0.004578667,0.0045635453,0.008147136,0.019650394,0.049745683,0.11006945,0.20223896,0.30823556,0.3950595,0.4345115,0.42247105,0.38201606,0.34640825,0.33605957,0.34887695,0.3660142,0.37350345,0.36991796,0.36743394,0.37295976,0.38599083,0.39298722,0.38269964,0.34743524,0.30059788,0.2613862,0.2497677,0.2584257,0.27346593,0.27908596,0.28061712,0.2814473,0.28452507,0.28459203,0.28536096,0.29527918,0.32190633,0.3605499,0.3921686,0.39408568,0.35251942,0.27704445,0.19741297,0.14981507,0.15199192,0.19034487,0.22774671,0.22993632,0.18926747,0.1253792,0.06800888,0.039061178,0.050962243,0.109295405,0.20897615,0.32362363,0.4098288,0.4318942,0.38855615,0.31352273,0.24828725,0.2142598,0.20885162,0.22074156,0.24385893,0.27649406,0.31437287,0.34612918,0.3563025,0.3330172,0.2761167,0.20351215,0.14465973,0.1258635,0.15269524,0.20729959,0.26319692,0.3005978,0.31646863,0.3134343,0.29586256,0.26209202,0.21545863,0.1665401,0.13817465,0.1518346,0.21572155,0.31090948,0.40009853,0.44434273,0.43093494,0.37744048,0.3183626,0.27662563,0.2546628,0.24518074,0.24309945,0.24439956,0.23765306,0.21185447,0.17088895,0.13857035,0.14078058,0.18493032,0.25365126,0.31678796,0.34777105,0.33289218,0.27621755,0.19744097,0.12913862,0.10303197,0.13590436,0.21382578,0.29991913,0.3558371,0.37380502,0.3713466,0.37194765,0.3749349,0.36683175,0.33486447,0.28523913,0.23557131,0.2080528,0.21569006,0.25455883,0.30609676,0.34724072,0.36506173,0.35354543,0.3171954,0.26576123,0.22042477,0.19712149,0.19768728,0.2036599,0.19493425,0.16809988,0.14298822,0.14857803,0.1985545,0.2806343,0.36262652,0.41790882,0.43672594,0.4290371,0.4076804,0.38399434,0.36292383,0.34743556,0.3371365,0.32744357,0.31067368,0.2793511,0.23698561,0.20185143,0.19982974,0.24072814,0.30568543,0.3582549,0.3748233,0.3603777,0.33663324,0.32050204,0.31092444,0.30060193,0.28098562,0.25182015,0.21153748,0.16356935,0.1122276,0.068028,0.03931863,0.0318417,0.045700673,0.078956306,0.12630689,0.18122031,0.23558302,0.28286386,0.3153607,0.3248384,0.30352736,0.25275686,0.18756358,0.13472673,0.11981609,0.15304722,0.2234552,0.30386612,0.36702636,0.39795998,0.40127942,0.3913275,0.380771,0.37454876,0.37177467,0.37224963,0.36917868,0.3572522,0.33343124,0.31194273,0.30533746,0.31854025,0.336486,0.3453425,0.33289814,0.29828775,0.24082382,0.17133771,0.10439821,0.059319615,0.047000602,0.07093098,0.12472284,0.19501851,0.26482925,0.32070258,0.35273036,0.35422602,0.31925014,0.25712544,0.19303523,0.16146083,0.1784017,0.23237254,0.29391515,0.33768007,0.3542335,0.34203923,0.302022,0.23714353,0.1619628,0.10076859,0.07843731,0.10617141,0.17202592,0.24223398,0.27685228,0.255353,0.18966842,0.11498481,0.06497195,0.057001512,0.089961946,0.15205838,0.22520967,0.29335448,0.34666464,0.3833294,0.40513003,0.41379413,0.41028538,0.39399302,0.36494008,0.3271872,0.28813636,0.25335062,0.21890543,0.1779374,0.12836967,0.078987904,0.040382076,0.018723894,0.014298121,0.027328357,0.06078585,0.11538253,0.18839876,0.26629457,0.33495522,0.37487006,0.3803307,0.35291204,0.31258643,0.2778002,0.26245117,0.2667099,0.28362384,0.30712375,0.33079514,0.3484825,0.34694585,0.31665063,0.25974143,0.19798072,0.1580982,0.15340213,0.17333066,0.19532333,0.201477,0.18706952,0.1566953,0.117712915,0.07845408,0.045829277,0.024468986,0.013869322,0.011458986,0.015453036,0.02873311,0.05594064,0.09951228,0.15571164,0.21948497,0.28875506,0.36019102,0.42142686,0.45017982,0.43626496,0.39177227,0.34666696,0.32003272,0.31222275,0.31265268,0.3137968,0.3098722,0.2920258,0.25611725,0.21456985,0.19001709,0.19295119,0.20583498,0.20073478,0.16680002,0.12373814,0.104455374,0.12818219,0.18794452,0.25363323,0.29292738,0.2850622,0.23429458,0.16137017,0.09650907,0.063121386,0.076784916,0.1336297,0.2163707,0.2933917,0.346522,0.37114248,0.38081694,0.38089955,0.37214193,0.34930876,0.31738925,0.2860744,0.2693672,0.2714322,0.2887818,0.30723011,0.31862542,0.3193039,0.3143357,0.30519485,0.29489246,0.28673682,0.2869933,0.29615548,0.3059283,0.30376533,0.28186792,0.24308799,0.19576617,0.151585,0.122620285,0.1208567,0.14760226,0.18760519,0.21410805,0.20775586,0.1694171,0.11881282,0.08067288,0.07285277,0.10070302,0.1561388,0.22294481,0.28180432,0.32194945,0.33851624,0.33327973,0.30495593,0.2588012,0.20840287,0.17611156,0.17630275,0.20439123,0.24253146,0.27366242,0.2930698,0.30233625,0.3011197,0.28370905,0.24464798,0.18829525,0.13063304,0.094640635,0.096035145,0.13267823,0.18251137,0.21611524,0.2141195,0.17774999,0.12437265,0.07403391,0.03828163,0.018293457,0.009475379,0.0065542194,0.0059560114,0.005867492,0.005645131,0.0052134222,0.0047727926,0.004545173,0.004639614,0.0064200615,0.0154529335,0.04430927,0.106157474,0.20201154,0.30878922,0.39073786,0.4208206,0.40013966,0.34732068,0.28279877,0.21672909,0.1558082,0.10657368,0.07351554,0.05454543,0.042748857,0.03284302,0.023876712,0.017891996,0.018482247,0.03084389,0.06366349,0.12069759,0.19675858,0.27143493,0.32371786,0.338369,0.31882942,0.28082958,0.24776499,0.23544069,0.24387594,0.25927588,0.263888,0.24820316,0.21127267,0.16269097,0.11821375,0.09894526,0.11784316,0.17467837,0.24996619,0.31869328,0.35766664,0.36175492,0.34032843,0.31449178,0.29775622,0.29183745,0.28321096,0.25877306,0.21278644,0.15670055,0.11143255,0.098455906,0.12725715,0.18860109,0.26192823,0.32299602,0.36395398,0.38816395,0.4073025,0.42049682,0.42275015,0.40740404,0.37754843,0.33469328,0.27985823,0.21321727,0.1434836,0.08266232,0.040256742,0.01693351,0.007641791,0.0072297878,0.013993145,0.031885028,0.06541086,0.11894775,0.18886322,0.26863858,0.34563658,0.4084344,0.44544017,0.450793,0.4280425,0.3872855,0.34276173,0.30252656,0.27082422,0.24490549,0.22072016,0.19779909,0.18781094,0.21006675,0.27276346,0.35127816,0.3987242,0.3761131,0.28923565,0.17718859,0.08561069,0.03193917,0.010363805,0.004365756,0.003821273,0.007331261,0.021254642,0.05732699,0.12132392,0.20826666,0.2962501,0.36609146,0.4049128,0.41774538,0.40851068,0.38552642,0.35404018,0.33025423,0.3287581,0.3535622,0.38468018,0.38870648,0.3447967,0.25961643,0.16399021,0.08600756,0.038336985,0.015580666,0.0073719365,0.004885635,0.005621385,0.012373214,0.033628788,0.07654486,0.1415069,0.21238653,0.26404455,0.27225307,0.23345305,0.16473405,0.09485161,0.04468138,0.022522775,0.029778583,0.07206991,0.15232469,0.26107904,0.36526918,0.4314009,0.44112256,0.41166338,0.36968508,0.342074,0.33158877,0.3347415,0.33707824,0.33303228,0.3201351,0.30714265,0.30246493,0.3056438,0.30817285,0.29441926,0.26202083,0.21747486,0.18495305,0.18185218,0.21343835,0.258428,0.28867987,0.28556147,0.2570395,0.22853655,0.22274868,0.24288614,0.27190864,0.29093805,0.2897797,0.27202982,0.24399404,0.21262412,0.18092205,0.1495767,0.11694033,0.082675666,0.050615657,0.026340606,0.015251069,0.022646716,0.056875825,0.12408923,0.21704642,0.30816272,0.36059344,0.35131714,0.28633562,0.19549902,0.111452185,0.055598408,0.035268154,0.05334885,0.10654616,0.18551157,0.26765135,0.3306491,0.35641,0.34361827,0.3021895,0.25471237,0.22362022,0.21949077,0.23182537,0.2381923,0.22569473,0.20323211,0.19237618,0.20537744,0.23310547,0.25622812,0.2626915,0.25737712,0.25307968,0.2597612,0.27708396,0.29546654,0.30016443,0.27875113,0.22936572,0.16300362,0.098063014,0.04905173,0.02060228,0.00824381,0.004894881,0.005165634,0.006485246,0.008175235,0.011283465,0.02110291,0.046382073,0.09671106,0.17159905,0.2603418,0.3435953,0.4080641,0.44697702,0.46216425,0.45788345,0.44067836,0.41578284,0.3846353,0.34655872,0.30128142,0.25021303,0.19514716,0.1386856,0.08685469,0.04656579,0.021970905,0.011733435,0.01388558,0.030134449,0.065273404,0.12036741,0.18599997,0.24562824,0.28267896,0.29215297,0.27673706,0.24710761,0.21160156,0.1810093,0.15868159,0.14379215,0.12683795,0.102468304,0.07139102,0.04369847,0.03037306,0.040681664,0.075318985,0.1276476,0.18362461,0.23404515,0.27485093,0.3092228,0.33308202,0.3396212,0.318522,0.27137733,0.20722567,0.14248657,0.08856106,0.051087264,0.028948784,0.01848186,0.015179024,0.014608138,0.013734639,0.0114215985,0.00842479,0.005952502,0.005766673,0.011528549,0.030671813,0.07084969,0.13320737,0.20494847,0.2633004,0.28749368,0.2730644,0.2328924,0.18595596,0.14395376,0.107752554,0.07548926,0.05111997,0.04749276,0.079399474,0.15081024,0.24506517,0.3296599,0.37806094,0.38720754,0.37455502,0.35549864,0.33165517,0.29628053,0.25197703,0.21189012,0.19187213,0.19714601,0.22133936,0.25138867,0.27406,0.28131247,0.27020997,0.24327111,0.20410669,0.15754665,0.10920298,0.06646938,0.03587501,0.02163709,0.026829764,0.054299593,0.10362327,0.16572595,0.22542115,0.26942644,0.2951268,0.30634916,0.3071864,0.29660985,0.2738069,0.24108435,0.20345235,0.16582975,0.13255896,0.11091512,0.107044496,0.121614,0.14498383,0.16496038,0.17320658,0.16914286,0.15449202,0.13161899,0.102615,0.072480686,0.04712819,0.03335244,0.034690615,0.050656643,0.0739902,0.09579509,0.109235495,0.11401933,0.11154514,0.102746494,0.08770909,0.07138231,0.06483167,0.07879997,0.1150327,0.16013987,0.19388653,0.19915809,0.17425852,0.12966578,0.08235924,0.044314384,0.020486172,0.008605295,0.0042084097,0.0030125265,0.0027346686,0.00255916,0.0025587336,0.002995574,0.003954954,0.0051891063,0.0061861607,0.0065853125,0.006424129,0.0062527503,0.006779645,0.009549088,0.01844722,0.04068545,0.0830962,0.14471085,0.21404512,0.2743499,0.31550202,0.33562896,0.3394655,0.33193,0.31963468,0.30818534,0.29934326,0.2920303,0.2849853,0.28097317,0.28023955,0.28042614,0.27579212,0.2633502,0.24088895,0.20838232,0.16674511,0.12151822,0.08033265,0.052487206,0.045643177,0.06371827,0.10366734,0.15371633,0.20060623,0.23435836,0.25352514,0.25708535,0.24371868,0.21088655,0.16293377,0.11139544,0.07148311,0.055153627,0.06435784,0.092369504,0.124370456,0.14833708,0.15719245,0.15554994,0.15032096,0.1471705,0.1435796,0.13542162,0.1209782,0.102276005,0.081832714,0.060661722,0.04126384,0.027441815,0.022697562,0.026207397,0.03415784,0.042384785,0.04946409,0.055341706,0.060724333,0.06638214,0.07458694,0.085908145,0.09670327,0.0991359,0.08822531,0.06677948,0.043764126,0.027176088,0.019201009,0.01744796,0.018316975,0.020230522,0.023706859,0.031505685,0.046450872,0.07132698,0.107316285,0.15386242,0.20548876,0.25157946,0.2799586,0.28476572,0.27091786,0.25088197,0.2359968,0.23110656,0.23407827,0.24202196,0.2518953,0.26310292,0.2720108,0.27618375,0.2716979,0.25894228,0.23745793,0.20858191,0.17291813,0.13515835,0.10183632,0.07822842,0.063372694,0.051762696,0.038822733,0.024835713,0.013370457,0.0074629956,0.0073428988,0.0111045325,0.01581876,0.019059561,0.019706154,0.01863238,0.017535513,0.017659456,0.01866124,0.019395944]