[0.006356979,0.005726987,0.0045388998,0.0034370061,0.0027974898,0.0025984857,0.002593874,0.0026089835,0.0026418923,0.0027880187,0.0031152891,0.003533167,0.0038742106,0.004019207,0.004063942,0.004197924,0.0044972277,0.004815137,0.0049734823,0.005049472,0.0053494945,0.0061292388,0.0073448117,0.008764396,0.010218774,0.011652216,0.01299196,0.014066309,0.014729994,0.015007593,0.015151593,0.01595362,0.0192591,0.02809056,0.045076575,0.069903255,0.09804847,0.12288044,0.13969684,0.14802426,0.15079409,0.15155338,0.15275143,0.15509604,0.1581824,0.16119225,0.16391438,0.16712756,0.17258418,0.182495,0.19820082,0.21864651,0.23944366,0.2550622,0.26153326,0.2588257,0.24940555,0.23704617,0.22498877,0.21609415,0.21157813,0.21084617,0.21145235,0.21132459,0.21070577,0.213212,0.22317983,0.2421536,0.2659496,0.28740206,0.3005552,0.3046551,0.30272242,0.29866123,0.29458734,0.29084745,0.2867633,0.2814531,0.27372304,0.2635828,0.25303522,0.24776046,0.25318363,0.27065763,0.2931639,0.3097153,0.3116854,0.298897,0.27800125,0.25786537,0.24494737,0.2423235,0.2501391,0.26637506,0.28685006,0.3063604,0.32052454,0.32783213,0.32985446,0.3294302,0.32883173,0.32844055,0.32731763,0.32359824,0.31579337,0.303297,0.28686464,0.26790765,0.24839331,0.23079975,0.21837185,0.21385305,0.21767469,0.22677112,0.23553567,0.23887624,0.23478939,0.22508062,0.21334554,0.20268725,0.19471538,0.19001932,0.18904476,0.19187303,0.19730897,0.20242743,0.20347929,0.19886924,0.19058482,0.18383567,0.18292816,0.18911524,0.20028235,0.21398874,0.2287116,0.24387033,0.25849584,0.2711645,0.2806594,0.2863135,0.28819454,0.28666636,0.28295192,0.27863932,0.27542827,0.27411512,0.2748288,0.2773291,0.28130034,0.28601074,0.2902759,0.29261371,0.29178345,0.28671214,0.2770668,0.26340073,0.24753956,0.23242365,0.2219932,0.22118278,0.23314685,0.25665537,0.28377083,0.304229,0.31052804,0.3020029,0.28290817,0.25883207,0.23437567,0.21251689,0.19513571,0.18282604,0.17508776,0.17099468,0.16994216,0.17320466,0.18298934,0.20102443,0.22522323,0.25067672,0.2720503,0.2875402,0.2982881,0.3063722,0.3121082,0.31452894,0.31263325,0.3067027,0.29800355,0.28809854,0.2786022,0.2710873,0.26698115,0.26668653,0.2695348,0.2740688,0.27875033,0.28200564,0.28245077,0.27930984,0.27291203,0.26410922,0.25391698,0.2430767,0.23310988,0.22607346,0.22455055,0.22976433,0.2405322,0.25234878,0.25935972,0.25743592,0.24677855,0.2312191,0.21565212,0.2037598,0.19751658,0.19764672,0.20358634,0.21393621,0.2263754,0.23906024,0.25019658,0.25891852,0.2641909,0.26565993,0.2629824,0.25638333,0.2461292,0.23264568,0.21637696,0.19797502,0.178402,0.15914452,0.14179248,0.12789924,0.118608795,0.11545668,0.12022001,0.13386752,0.15441744,0.17675555,0.19580114,0.20992118,0.2222017,0.23656268,0.25489864,0.2750862,0.29370067,0.3071338,0.3135142,0.31269166,0.30741248,0.30241212,0.30190778,0.30638707,0.31188336,0.3127344,0.30504838,0.2890685,0.26877794,0.25033495,0.23932146,0.23790121,0.24392776,0.25206092,0.2584647,0.26285037,0.2686906,0.2787539,0.2924159,0.30584395,0.3144209,0.31606728,0.3109711,0.30185,0.2918246,0.28331187,0.27634975,0.2683284,0.25734904,0.24484468,0.23814397,0.2451042,0.26937166,0.30464184,0.33964613,0.3631272,0.37143418,0.3660662,0.3522409,0.33392465,0.314616,0.29598716,0.27900586,0.26426947,0.2539268,0.25229633,0.2639307,0.29012907,0.3264978,0.3639257,0.3927712,0.40691683,0.40602458,0.39423057,0.3779225,0.363197,0.35438207,0.35297692,0.3573906,0.3644134,0.37078235,0.374477,0.3737484,0.3671833,0.35419214,0.33621132,0.31594205,0.29564536,0.2762256,0.25752434,0.23948069,0.22218303,0.20586698,0.19120915,0.18177474,0.1849479,0.20871975,0.25329712,0.30696264,0.35091475,0.371169,0.36504522,0.340525,0.3101268,0.28772318,0.28253528,0.29613325,0.3198204,0.34320006,0.36063173,0.37577125,0.3937933,0.41578722,0.43516847,0.44399408,0.43770504,0.41873798,0.39313474,0.3668829,0.34182158,0.3159773,0.28626695,0.25365806,0.22560348,0.21492565,0.23260272,0.281024,0.35037497,0.4238669,0.485116,0.52435464,0.53948826,0.53390247,0.5133804,0.4813936,0.43857777,0.38467953,0.3239731,0.26602015,0.2224326,0.20197384,0.20626622,0.22957174,0.25995716,0.28595135,0.30065674,0.30383182,0.29790306,0.28627312,0.272279,0.2599237,0.25090766,0.243737,0.23458141,0.22268653,0.21325703,0.2155589,0.23567605,0.26920262,0.30253246,0.3208309,0.31847343,0.2996116,0.27309692,0.24502431,0.21840447,0.19453417,0.17492725,0.16015671,0.15022479,0.14585902,0.14968951,0.1639144,0.18685947,0.21105933,0.22672832,0.22652225,0.21061818,0.18671978,0.16711603,0.16114862,0.1696331,0.18350436,0.18967265,0.18016653,0.15915559,0.14374124,0.15278421,0.19371133,0.25335488,0.30844578,0.3406452,0.34888873,0.34368953,0.33700287,0.33406028,0.3344936,0.33625165,0.33839217,0.34160256,0.3475434,0.3576759,0.37121627,0.38414857,0.39114115,0.38977575,0.3827274,0.37562823,0.37295187,0.37589812,0.38367388,0.3945708,0.40655437,0.41635808,0.42150208,0.42198148,0.4224132,0.42850652,0.4429169,0.4611961,0.47526953,0.47894442,0.4723331,0.459689,0.44502124,0.4296392,0.41353455,0.39756063,0.38387048,0.3744518,0.37023064,0.37040922,0.3723917,0.3718352,0.36485216,0.35084096,0.3331983,0.31620565,0.30119154,0.28597653,0.267776,0.24606627,0.22233705,0.19925112,0.18075164,0.17370553,0.18479757,0.21554296,0.25810325,0.3001941,0.33216453,0.35239902,0.36461103,0.37312105,0.37916526,0.3816917,0.37998214,0.3748949,0.36790064,0.35988495,0.35315105,0.35175896,0.35900167,0.37070474,0.3764565,0.36585808,0.33782098,0.29970288,0.2616348,0.22987841,0.20632546,0.19081885,0.18272613,0.18164301,0.18757631,0.2025216,0.22897713,0.2672476,0.31131363,0.35022846,0.37215424,0.37049714,0.3459662,0.3060869,0.26264045,0.22804128,0.211042,0.21251099,0.22657673,0.24586487,0.267248,0.29076397,0.3150071,0.3347046,0.34459984,0.34370342,0.33561563,0.32458794,0.31294104,0.30106768,0.2894405,0.27961054,0.27401865,0.2746714,0.28256235,0.2985948,0.32559824,0.36721444,0.42379054,0.4876223,0.5452579,0.58438176,0.6004262,0.59637195,0.5777919,0.54902583,0.5117658,0.46744743,0.41901946,0.37184155,0.33143184,0.30015755,0.2771838,0.26087242,0.25227293,0.25357237,0.26528108,0.28355384,0.30219647,0.31490543,0.31808558,0.31075168,0.2951285,0.27526107,0.25667056,0.24426363,0.24088292,0.24557579,0.2539469,0.2608347,0.26280332,0.25956294,0.25228098,0.24291657,0.23315115,0.22478098,0.21875833,0.21511678,0.21274967,0.21092848,0.21116345,0.21917687,0.24225016,0.28197184,0.3268421,0.3545582,0.3468391,0.30371302,0.24560992,0.19708057,0.1719033,0.16766214,0.17546825,0.18775289,0.20119488,0.21320818,0.2214014,0.2256972,0.23037566,0.24130213,0.26035506,0.28331733,0.30313733,0.3157549,0.32099715,0.32060948,0.31540343,0.3064737,0.2960549,0.28752515,0.28391886,0.28700235,0.29700437,0.31160688,0.3265859,0.33774987,0.34384474,0.34668997,0.34903535,0.35217413,0.3557109,0.3586696,0.36112022,0.36388013,0.36776885,0.37155446,0.37282,0.3695825,0.3633008,0.357259,0.35402617,0.35239875,0.35064244,0.34867695,0.3492122,0.35290155,0.35768795,0.36037067,0.36105642,0.3625501,0.36742505,0.37506202,0.38239565,0.3863411,0.3860009,0.3817853,0.3745986,0.36494145,0.35506162,0.34849283,0.34884784,0.3566388,0.36926916,0.3819938,0.38984713,0.3893176,0.38022396,0.36688054,0.3564466,0.35600471,0.3687934,0.39287865,0.42119476,0.44543025,0.4594656,0.46263012,0.45779255,0.45020166,0.4438087,0.4417862,0.4443142,0.45166364,0.4637824,0.48314455,0.51115924,0.547254,0.5853732,0.61693144,0.63346094,0.6314163,0.61152506,0.5766109,0.52880627,0.47045565,0.40840814,0.3543276,0.3213022,0.31381702,0.3279116,0.35539496,0.39350438,0.44117975,0.4933854,0.5365035,0.55494374,0.539291,0.49146307,0.4237258,0.35304227,0.29384032,0.25294143,0.23032306,0.22385271,0.23284058,0.25723755,0.29491544,0.3398148,0.38402042,0.41952717,0.44144168,0.4484373,0.44424415,0.43572223,0.42975345,0.42941487,0.43260428,0.43454692,0.4313647,0.42336425,0.41530904,0.41307834,0.41927704,0.4303764,0.43955132,0.44116175,0.4339037,0.4199051,0.40187392,0.38187823,0.36026654,0.3370266,0.3118385,0.28730297,0.26840827,0.26080388,0.2644676,0.2731171,0.27890414,0.28019753,0.2821428,0.28995642,0.30231705,0.3119645,0.31198946,0.30103338,0.28264278,0.26184058,0.24237148,0.22789544,0.22317772,0.23161817,0.25100422,0.27171043,0.28338325,0.28129482,0.26947042,0.25483945,0.24244542,0.23248385,0.22271603,0.21076317,0.19634485,0.18218611,0.17442171,0.18219416,0.21311258,0.26782528,0.33541194,0.39895543,0.44361785,0.4648175,0.46522546,0.45017815,0.42151907,0.37926975,0.32389736,0.2609474,0.20062391,0.15540497,0.13604705,0.14897197,0.19412433,0.2620881,0.33503237,0.3928968,0.42314854,0.42489374,0.40583757,0.37424418,0.3352896,0.29139537,0.24706538,0.20943773,0.18683524,0.18429638,0.20240366,0.23633607,0.2761396,0.30855933,0.32338068,0.32029557,0.30967665,0.30553356,0.31597117,0.3383161,0.36105987,0.3709556,0.36144862,0.3362662,0.30669937,0.28324366,0.2708287,0.26758215,0.26860103,0.26782918,0.26113096,0.24736585,0.22965436,0.21312837,0.20293657,0.20207839,0.21016371,0.22320688,0.23578982,0.24720667,0.262399,0.28716853,0.31830707,0.34414124,0.35268843,0.34157142,0.31738517,0.28914165,0.26228952,0.23879051,0.21940674,0.2056157,0.1982882,0.1971127,0.20036249,0.20759733,0.21914697,0.23453788,0.2494108,0.25786874,0.25620168,0.24591528,0.23173909,0.21840483,0.20838435,0.2018642,0.19776084,0.19542138,0.19608249,0.20316623,0.21954383,0.24416232,0.2702354,0.28853962,0.29252568,0.28217673,0.26286498,0.24137394,0.22219533,0.20596687,0.19061835,0.17384295,0.15702046,0.14787816,0.15661693,0.1879173,0.2322176,0.2712673,0.28946117,0.28662425,0.27480832,0.268291,0.2723848,0.28176442,0.2861752,0.27890158,0.26215336,0.24561344,0.2394119,0.24793784,0.2673192,0.28890708,0.3031358,0.30491996,0.29573044,0.28351164,0.2773924,0.28176367,0.29400024,0.30721447,0.31658474,0.32163134,0.32596123,0.33331442,0.3460013,0.363583,0.38289332,0.398441,0.40405393,0.39654994,0.37764466,0.3538871,0.331344,0.3119998,0.29153207,0.26472893,0.22981517,0.19310085,0.16526549,0.1567884,0.17078114,0.20171542,0.23775561,0.26785916,0.2875626,0.29994223,0.31143236,0.326059,0.34348977,0.3604542,0.37377426,0.38178483,0.38463864,0.38402796,0.38194442,0.37943077,0.37558886,0.3693327,0.3606588,0.35134137,0.3431215,0.3370994,0.33340678,0.33160293,0.33052537,0.32864425,0.32500502,0.31982216,0.31453505,0.3119248,0.31511107,0.3261312,0.3425442,0.3582988,0.3660612,0.36244592,0.3481592,0.32662943,0.3007497,0.27260342,0.24380761,0.2164431,0.1928867,0.17610009,0.1692277,0.17498966,0.19314261,0.2194575,0.24670883,0.269102,0.28501296,0.29689237,0.30815697,0.3208971,0.33525145,0.34955516,0.36119542,0.36733326,0.36664367,0.35957098,0.34866408,0.3371954,0.32850197,0.3239831,0.3231337,0.3237041,0.3238907,0.32247064,0.31902108,0.313071,0.30458644,0.29398882,0.2821745,0.27052674,0.2609792,0.2552617,0.25334498,0.25298867,0.25160658,0.24863738,0.24569531,0.24491708,0.24712197,0.25233698,0.25988805,0.26914373,0.27843034,0.28570542,0.28876626,0.2871063,0.28294647,0.2802111,0.28203502,0.28743538,0.29344472,0.29781458,0.30251133,0.31084085,0.32459852,0.34211692,0.36017832,0.37611064,0.3878157,0.39367685,0.3927283,0.38632798,0.37734723,0.36814532,0.35869995,0.3476732,0.33466983,0.32114255,0.30957523,0.3018506,0.29853722,0.2986045,0.29995278,0.3004305,0.29890034,0.29593143,0.2934741,0.2938697,0.29819712,0.30500436,0.3109236,0.31274626,0.30946887,0.302178,0.292537,0.28174248,0.27025187,0.25818804,0.2447458,0.22916554,0.21185654,0.19672483,0.18889214,0.1918103,0.2031148,0.21747053,0.22955185,0.23856647,0.24627025,0.25550565,0.26680985,0.27893314,0.28922597,0.2959852,0.29920402,0.300979,0.30367598,0.30821025,0.3123006,0.31216383,0.30511177,0.29236662,0.27781722,0.2656249,0.25779137,0.25461328,0.25534788,0.25892887,0.26323783,0.2658903,0.2655219,0.26401043,0.2656972,0.27456656,0.28986585,0.30472466,0.30783,0.28987616,0.24992193,0.19969581,0.15794837,0.14025348,0.14849831,0.173262,0.20342062,0.23750134,0.28160992,0.3395265,0.40202472,0.45095193,0.47135535,0.46272334,0.43606678,0.4050475,0.37779686,0.35722604,0.34337237,0.33636868,0.3372911,0.34814084,0.37023604,0.40126458,0.4346957,0.46161163,0.47647583,0.47985753,0.47782263,0.47461247,0.469623,0.45892075,0.44400004,0.43193448,0.43019637,0.4374075,0.4457444,0.44778654,0.44285524,0.43453148,0.4257971,0.4167161,0.40615594,0.39396834,0.3823439,0.37463233,0.37378943,0.37927055,0.38675392,0.39146376,0.3932297,0.39902604,0.41691437,0.4490284,0.48653665,0.5158364,0.52634144,0.51711243,0.49498102,0.46884346,0.44412482,0.41961837,0.39033067,0.3517193,0.30732968,0.27088526,0.2634969,0.3009197,0.38232294,0.4861506,0.5819085,0.6449001,0.66738707,0.6562651,0.6265544,0.5923745,0.56232387,0.5376238,0.5153936,0.49299118,0.4706923,0.4507102,0.43423054,0.42072058,0.40804696,0.39458993,0.3780147,0.3554261,0.32353914,0.2833312,0.24331303,0.21860181,0.22173567,0.25334254,0.30021462,0.34571815,0.38056388,0.40598765,0.4266869,0.4444046,0.45783654,0.46676144,0.47411057,0.48208925,0.48792216,0.4850684,0.4704441,0.44972488,0.43399608,0.43106833,0.44084096,0.45778275,0.47661456,0.4936173,0.50616413,0.5124184,0.5130527,0.5107913,0.507537,0.50277966,0.4929885,0.47436643,0.44378558,0.40292978,0.35858592,0.3231233,0.30819643,0.31984487,0.35208452,0.39020148,0.41685104,0.42291746,0.4088739,0.3827573,0.35310498,0.32687172,0.30859172,0.30318186,0.31483504,0.34457627,0.38419262,0.41871127,0.43281806,0.42111406,0.3891339,0.3486972,0.31057546,0.2802924,0.25875407,0.24358873,0.23255426,0.22425659,0.21989857,0.2215726,0.23061933,0.24432735,0.25652695,0.2610961,0.2564818,0.2465135,0.23716535,0.23280211,0.23472355,0.24144773,0.24994582,0.2562622,0.25899103,0.26126066,0.27130482,0.29435852,0.32687828,0.35511914,0.36702755,0.35996303,0.3415762,0.31898975,0.29398647,0.2655672,0.2372426,0.21786453,0.21565802,0.2319467,0.26050356,0.29246977,0.32140508,0.3443583,0.3602675,0.36878312,0.3708738,0.36887142,0.3649163,0.35926327,0.35059512,0.33780685,0.32173875,0.30479857,0.28978884,0.27849007,0.27203074,0.27093172,0.275111,0.28268936,0.29081535,0.29668286,0.2994449,0.2996398,0.29889286,0.29792902,0.2958676,0.2893363,0.2754288,0.25482914,0.23427236,0.22325401,0.2291367,0.252626,0.28800642,0.3261591,0.3582267,0.3775744,0.38006806,0.36539647,0.33867404,0.3098589,0.28812695,0.2755371,0.26667836,0.25511813,0.24006663,0.22596623,0.21772091,0.21736811,0.22577764,0.24311782,0.26717305,0.29032812,0.30334067,0.3000429,0.2813578,0.25202075,0.21837556,0.18622684,0.16183971,0.15103427,0.15718378,0.17845602,0.20623024,0.22904229,0.23832929,0.23383825,0.22097838,0.20610695,0.19181359,0.17826791,0.16509658,0.15444429,0.15089957,0.16099696,0.18774302,0.2263856,0.2629905,0.2823232,0.27649283,0.2493003,0.21217768,0.1772161,0.15210651,0.13743506,0.12816323,0.11769419,0.10500454,0.09747193,0.107450046,0.14199875,0.1956995,0.25174713,0.29274788,0.31070575,0.30940378,0.2982197,0.28530118,0.2749984,0.26893163,0.2674338,0.2697459,0.27473214,0.28184906,0.2920746,0.30694175,0.3260164,0.34555808,0.35886964,0.36064127,0.34902534,0.32666448,0.2984544,0.27145472,0.25413805,0.25294438,0.26760998,0.2905121,0.31349495,0.33443585,0.35682294,0.38260886,0.40717378,0.42188683,0.42125925,0.40701422,0.38536796,0.36075786,0.33370587,0.30448326,0.27751473,0.25920093,0.25197306,0.25147462,0.25208542,0.25231656,0.2562737,0.2674862,0.2865119,0.3100525,0.3348182,0.35732257,0.37451425,0.3834211,0.3824524,0.3717072,0.35267964,0.32823077,0.30244556,0.27939716,0.26130483,0.24736351,0.23545928,0.22411375,0.21376212,0.20557874,0.20018668,0.19710551,0.19496237,0.19238527,0.18847148,0.18374948,0.17967843,0.17712389,0.17459218,0.16831516,0.15535463,0.13563412,0.112504125,0.090367846,0.074240275,0.069509804,0.08036459,0.106033884,0.13839759,0.16706832,0.1868098,0.20269847,0.22440456,0.25788954,0.29918912,0.33836484,0.3668652,0.3828793,0.3901551,0.39268324,0.39214173,0.38765994,0.37909746,0.3675429,0.3551099,0.34309626,0.3313631,0.31942168,0.30666733,0.2934275,0.2793986,0.26516643,0.25122097,0.23952508,0.23109604,0.22688328,0.22613172,0.22835624,0.23232536,0.23836802,0.2469194,0.25894052,0.2721763,0.28278783,0.28681278,0.28508303,0.28172502,0.28179646,0.28634882,0.29246005,0.2936925,0.28467104,0.26495576,0.243151,0.23419613,0.25046888,0.29225206,0.3453864,0.39105138,0.4166954,0.42248678,0.41583976,0.4051393,0.3943738,0.38434303,0.3737272,0.36151376,0.34825972,0.33639407,0.32884303,0.32523727,0.3224903,0.31593096,0.30480936,0.29100773,0.27818975,0.26694983,0.25615576,0.24399213,0.23044749,0.21600942,0.20242538,0.19437988,0.20213605,0.23421383,0.28858534,0.34580693,0.38203058,0.38343123,0.3565934,0.31773335,0.2800891,0.24622957,0.21363921,0.1825852,0.1593269,0.15296687,0.16973746,0.20894933,0.26214686,0.31548598,0.35578868,0.37675366,0.3811251,0.37655103,0.3690343,0.36055657,0.35059813,0.33940327,0.32752833,0.31586984,0.30512148,0.29888484,0.30246004,0.320758,0.35213053,0.38856634,0.41921648,0.43743086,0.44279703,0.43910733,0.43083262,0.4208795,0.4105049,0.39963755,0.38858697,0.37924945,0.3745223,0.37581125,0.3812448,0.38724566,0.39140972,0.39329454,0.39264104,0.38764927,0.3767065,0.36083773,0.3441886,0.3313496,0.32445142,0.32357737,0.32758215,0.33542296,0.34460175,0.35275412,0.35859147,0.36366117,0.36894396,0.37310895,0.3720306,0.36336562,0.34832034,0.3310372,0.3151981,0.30295834,0.29640374,0.29769015,0.3075441,0.3224397,0.3360447,0.34278336,0.34107527,0.33312595,0.32245848,0.3119264,0.30262375,0.29413927,0.2853032,0.27548304,0.26520678,0.25598624,0.24832177,0.24065603,0.2286719,0.2084586,0.17881398,0.14341454,0.10847976,0.079789616,0.05992669,0.048000142,0.041203093,0.036407556,0.031932373,0.028764362,0.03178746,0.049503673,0.090600364,0.15854014,0.24708433,0.34232894,0.42906868,0.49802566,0.5463856,0.5748735,0.5831737,0.57117075,0.5408302,0.4992913,0.4563509,0.42215464,0.40318403,0.4006405,0.4091752,0.41897154,0.42094222,0.41177955,0.39468065,0.37515065,0.35673472,0.34008393,0.32468608,0.31003633,0.29573298,0.2810128,0.26577702,0.25111255,0.23988022,0.23456603,0.23584396,0.24088413,0.24569154,0.24708967,0.24485876,0.24030165,0.2347986,0.22897069,0.22293891,0.21764742,0.2149993,0.21896285,0.23251712,0.2550603,0.27895868,0.2939896,0.29297745,0.27698827,0.25278038,0.22813976,0.20810282,0.19461639,0.18777077,0.18668966,0.19080438,0.2007791,0.21992391,0.25244305,0.2999859,0.3564155,0.40974677,0.44884577,0.47246945,0.4882108,0.5046573,0.5221048,0.53270644,0.5278335,0.50670487,0.4781053,0.45480204,0.44553736,0.45067278,0.46377626,0.4764441,0.48276123,0.48020068,0.4673821,0.4420252,0.40232912,0.3509265,0.29582182,0.24631907,0.20701003,0.17599916,0.14983274,0.13010396,0.12658744,0.15018292,0.20296736,0.27171245,0.33476233,0.37444958,0.38630962,0.37759352,0.35934553,0.34019962,0.32413366,0.31218848,0.30333284,0.29589152,0.28897822,0.28459418,0.2881069,0.30387387,0.3310658,0.36094758,0.38375548,0.39396083,0.39420798,0.38929415,0.38244116,0.37356755,0.36256525,0.3513458,0.34226453,0.3372451,0.33678135,0.343219,0.35892737,0.38437143,0.41350505,0.43749538,0.44826436,0.44264337,0.41947266,0.3803141,0.33034718,0.28005308,0.23964874,0.21362416,0.19992189,0.19527793,0.19928895,0.21216722,0.23097761,0.24893557,0.2605096,0.26510057,0.26668453,0.2698253,0.27664864,0.28680336,0.2982846,0.308881,0.31671998,0.32125953,0.32313463,0.32369936,0.3239783,0.32403746,0.3229746,0.31973222,0.31424704,0.30762276,0.30123758,0.29564404,0.29049388,0.28533903,0.2799003,0.27426013,0.26858196,0.2637124,0.2600669,0.25690854,0.25152704,0.24165839,0.22747195,0.21231669,0.20048629,0.19480316,0.19586755,0.20244484,0.21285759,0.22499664,0.23646097,0.24406232,0.24585332,0.24356647,0.24326496,0.25119177,0.26804373,0.28824303,0.30415115,0.31186524,0.31173575,0.306406,0.29837647,0.2897651,0.28260863,0.2786888,0.2790408,0.28288916,0.2879137,0.29167935,0.29427877,0.29823256,0.3064557,0.31902054,0.3332483,0.34544745,0.35295534,0.35446855,0.34921554,0.33723614,0.31966612,0.29990363,0.28278145,0.27311274,0.27318838,0.28174037,0.29502234,0.30899763,0.32130572,0.3311005,0.33824423,0.34248757,0.34310886,0.33918545,0.3293039,0.31380972,0.29593316,0.28278348,0.28058696,0.2908837,0.3086971,0.32726434,0.34236717,0.3541517,0.36451545,0.37461838,0.38342646,0.38848624,0.38747242,0.3805209,0.37085626,0.36300182,0.35943842,0.35914063,0.35888126,0.35588607,0.3490472,0.3388683,0.32670507,0.31402123,0.30193123,0.29077056,0.28089175,0.272653,0.26650485,0.26205322,0.25824848,0.25380364,0.24818164,0.24182373,0.2362573,0.23292543,0.2329003,0.23610343,0.24248052,0.2516857,0.26334968,0.2761996,0.2882551,0.29705974,0.29983988,0.2950419,0.28411362,0.2728745,0.2686276,0.27543136,0.2915013,0.31115395,0.3293004,0.34347358,0.3536224,0.36010882,0.36281565,0.36095318,0.35427165,0.344463,0.33508205,0.32976153,0.32962123,0.33267334,0.33489403,0.33228934,0.32267094,0.30653977,0.2871127,0.2689232,0.25604227,0.25070074,0.2526951,0.26002616,0.26948896,0.27797773,0.2833108,0.285442,0.2868028,0.29093254,0.2997596,0.3114159,0.32126042,0.325161,0.3218016,0.31254864,0.29923847,0.28321895,0.26526144,0.24630433,0.22748367,0.209957,0.1947037,0.18265279,0.17460954,0.17137271,0.17315252,0.17963926,0.18958867,0.20137633,0.2132684,0.22385083,0.23218139,0.2372381,0.23784284,0.23262924,0.22170343,0.20809853,0.19699965,0.19262491,0.19473208,0.19997667,0.20526934,0.21095727,0.2197835,0.23459323,0.2562265,0.28264415,0.30917513,0.3303995,0.3423121,0.34447142,0.33928105,0.33173242,0.32631275,0.32584974,0.32947168,0.33486238,0.34042463,0.34661484,0.35443112,0.36289155,0.36938098,0.3711525,0.3675572,0.35983315,0.34991097,0.3393431,0.3289428,0.31983486,0.31389868,0.31331635,0.31849647,0.32700655,0.33499214,0.33995092,0.34183058,0.34126064,0.33791447,0.33081818,0.321404,0.3134931,0.31169665,0.31636557,0.324146,0.3297775,0.33117595,0.32936296,0.32751155,0.32826814,0.33313668,0.34192744,0.3527347,0.36255968,0.36900797,0.37229607,0.37596095,0.3855784,0.40517744,0.43384686,0.46486306,0.48940524,0.5024323,0.5046637,0.5008338,0.49371278,0.48438728,0.47237894,0.45980194,0.4493439,0.44478583,0.44885945,0.46319404,0.4861219,0.5127261,0.53648245,0.5521906,0.557367,0.552465,0.5407383,0.52761644,0.51836693,0.5154045,0.51776767,0.5242978,0.53482324,0.54865247,0.5603733,0.56289315,0.5521571,0.5308707,0.5025421,0.4670315,0.42095646,0.36511293,0.3076368,0.26080453,0.23357104,0.22770698,0.23856266,0.259756,0.28578344,0.31319845,0.33858538,0.35919845,0.37284434,0.3796526,0.38088718,0.37945414,0.3785061,0.38112378,0.38766167,0.3953925,0.39922798,0.3952942,0.38310027,0.36599395,0.34876108,0.33540368,0.32771173,0.32622576,0.3305937,0.34045902,0.3546799,0.37216285,0.3910924,0.40936136,0.42453516,0.43608403,0.44528687,0.45420662,0.46222886,0.46690264,0.4638925,0.45101216,0.42835453,0.4019653,0.3796066,0.36711708,0.36184397,0.35664558,0.34642673,0.33412766,0.32613382,0.32453048,0.323385,0.31456402,0.2954907,0.2714342,0.25020978,0.23600586,0.22749901,0.22051615,0.21154378,0.20031346,0.19150953,0.19488728,0.22122341,0.27406195,0.344162,0.41214582,0.46001327,0.47903302,0.47148573,0.4440796,0.40517387,0.36135766,0.31864008,0.28069746,0.25233698,0.23934595,0.24890606,0.2827711,0.33396113,0.38603222,0.42226312,0.43376818,0.42384484,0.40233517,0.37935957,0.360978,0.34966373,0.34464666,0.34312853,0.34246692,0.34279892,0.34672573,0.3560556,0.36885282,0.38017678,0.38503423,0.3816084,0.37180042,0.35992745,0.34910274,0.33858845,0.32328185,0.2980607,0.26285082,0.22653048,0.20298415,0.20369744,0.22879612,0.26754972,0.30486408,0.33151877,0.34634948,0.3531381,0.35448253,0.3509113,0.3427012,0.3328655,0.3275229,0.33431995,0.3581705,0.39671078,0.4385052,0.46831703,0.47547463,0.45942354,0.42707363,0.38651702,0.34315547,0.30050713,0.26252443,0.23327339,0.21475025,0.20557882,0.20271166,0.20449375,0.21133399,0.22328399,0.23769526,0.24974628,0.25546896,0.2529129,0.24198698,0.22396876,0.2019242,0.18023376,0.16272269,0.1520038,0.14985615,0.15725125,0.17314577,0.193164,0.21183604,0.22452201,0.22989397,0.22825377,0.22140713,0.21079712,0.19808905,0.1838512,0.16900115,0.15633063,0.15315,0.16879813,0.2069517,0.25858292,0.3034413,0.3233156,0.313145,0.283416,0.24969739,0.22429292,0.21204649,0.2131781,0.22487931,0.24343474,0.26499775,0.28719345,0.30893314,0.3296673,0.34780312,0.3601458,0.36292675,0.35428786,0.33705834,0.3181453,0.30495623,0.30015236,0.30078903,0.3016938,0.3012924,0.3037363,0.31653526,0.3449403,0.38742387,0.43546534,0.47735095,0.5052168,0.5178326,0.520341,0.51736546,0.510546,0.49694392,0.4745772,0.44411588,0.41213372,0.3876401,0.37985894,0.39027944,0.41165933,0.42885455,0.42950726,0.40887403,0.37252274,0.3304539,0.29349008,0.26961777,0.26229465,0.26949486,0.28423467,0.2988129,0.3079739,0.31044027,0.30616733,0.29476607,0.27633676,0.2539347,0.233689,0.22122915,0.21811299,0.22097951,0.22451906,0.22482069,0.22151965,0.21795088,0.22069716,0.23618333,0.26514217,0.29635137,0.31088945,0.29335883,0.24578874,0.18527915,0.13337977,0.10222096,0.09328294,0.10101084,0.1184665,0.13956507,0.16021352,0.1785571,0.19397269,0.20653637,0.21752308,0.2297995,0.24674286,0.2694704,0.29593566,0.32143283,0.34130636,0.35298494,0.35768202,0.35964307,0.36375952,0.3728968,0.38673702,0.40295967,0.41892362,0.43410456,0.44973996,0.46743858,0.48533463,0.498808,0.50268763,0.49582577,0.4809921,0.46324196,0.44701374,0.4346118,0.42656887,0.4220799,0.42149866,0.42601717,0.4376309,0.45566133,0.47661746,0.49445143,0.50443715,0.50453144,0.4964254,0.48296383,0.46675566,0.44849882,0.42935887,0.41177228,0.3994743,0.39387023,0.39445186,0.4004016,0.41261223,0.42989424,0.44693914,0.45629016,0.45515895,0.44804165,0.44364902,0.4486719,0.46310845,0.48000732,0.489231,0.48494807,0.46973822,0.45278832,0.4422888,0.44151416,0.448836,0.46162322,0.4762644,0.48879275,0.49435374,0.48998567,0.47605333,0.4568347,0.4385651,0.42599285,0.42043817,0.42010322,0.4229231,0.4282736,0.43617824,0.44545737,0.45247826,0.45228818,0.43982565,0.41277185,0.37321755,0.3288668,0.28901872,0.26050073,0.24464609,0.24014361,0.24598964,0.26212776,0.28648496,0.31226602,0.3301114,0.33305755,0.3214055,0.3013098,0.279879,0.2601511,0.24140267,0.22238185,0.20515345,0.19502981,0.19872391,0.21950431,0.25469378,0.2947943,0.32873178,0.34906754,0.35571778,0.35357252,0.34865463,0.34443012,0.34135184,0.33715448,0.32945,0.31750825,0.30525625,0.2991164,0.30501643,0.3226157,0.34607574,0.36654064,0.3781952,0.37941387,0.37347913,0.36525884,0.35945,0.3571581,0.35666156,0.35560837,0.35456577,0.35628113,0.36167446,0.36729035,0.3672941,0.3587639,0.3435572,0.32628182,0.3106059,0.2978245,0.28744647,0.27771735,0.2666426,0.25268936,0.23646319,0.2203595,0.20758599,0.19974087,0.19587763,0.19290324,0.1878968,0.1804483,0.1738133,0.17325096,0.18338758,0.20456938,0.23284347,0.26082632,0.28340873,0.30016866,0.31680593,0.3378254,0.36220154,0.38120866,0.38712004,0.37808323,0.36003193,0.33977208,0.32164255,0.30660605,0.29467106,0.28602886,0.2800145,0.27518567,0.26986346,0.26500988,0.26490226,0.27406782,0.29279637,0.31384727,0.32736507,0.32613137,0.31098914,0.28741732,0.26155773,0.23585908,0.21039796,0.18522288,0.16266818,0.14685811,0.14257681,0.15211326,0.1738422,0.20083143,0.22508508,0.2406526,0.2469282,0.24626903,0.24195902,0.23604804,0.22952248,0.2228558,0.21647267,0.21121521,0.2087804,0.21236618,0.22666551,0.25483027,0.29513744,0.3388236,0.3754159,0.39846227,0.409858,0.41499233,0.41796282,0.4173893,0.40980005,0.39314476,0.37141326,0.3540319,0.35133657,0.36746016,0.3957248,0.42319286,0.43766257,0.4348795,0.41650233,0.38737616,0.3518685,0.3148711,0.28169677,0.2574714,0.2446139,0.24240278,0.2481501,0.25941876,0.2736983,0.2871851,0.2951374,0.29463324,0.2871629,0.27753946,0.27088308,0.26947573,0.27180228,0.27395442,0.2723224,0.26685536,0.2614587,0.26262712,0.27618346,0.3034552,0.33860227,0.36797953,0.37765524,0.36103418,0.32509378,0.2836609,0.24958754,0.22706611,0.21427953,0.20705034,0.20423883,0.2088508,0.22753252,0.26478252,0.31626788,0.36662975,0.39606556,0.39282355,0.35969138,0.31203702,0.2663689,0.23276578,0.21346737,0.20891954,0.22065477,0.24809341,0.28458953,0.32010183,0.34894118,0.37227526,0.3921033,0.405838,0.40824714,0.39907297,0.38465324,0.3734312,0.36935568,0.37098038,0.37442896,0.37684533,0.37790897,0.37916076,0.3839461,0.39593777,0.4175329,0.44559827,0.47066876,0.4807814,0.47042122,0.44500253,0.41689357,0.39542857,0.38147914,0.36922526,0.3529341,0.33102715,0.30760273,0.28976655,0.28392175,0.29134348,0.30737498,0.3241514,0.33514833,0.33816788,0.33523813,0.33020458,0.32591835,0.32323506,0.3225802,0.325222,0.3333845,0.34734103,0.36445633,0.37920454,0.38694134,0.38592777,0.378137,0.3666133,0.35324922,0.33786008,0.31961358,0.29881203,0.27795592,0.2609378,0.25150916,0.25227264,0.2639058,0.28520337,0.3116134,0.33721653,0.356454,0.36797643,0.37333432,0.375226,0.3747289,0.37155008,0.36478075,0.35369694,0.33883324,0.32323426,0.31263724,0.31204844,0.32140112,0.33375058,0.34008762,0.3351771,0.32086268,0.30321154,0.28892434,0.28307474,0.2881857,0.30350482,0.3243563,0.3449037,0.3613206,0.3739504,0.38488805,0.39552215,0.40487278,0.41134128,0.41329947,0.41021684,0.4017334,0.38837102,0.37108982,0.3519292,0.33373204,0.31992066,0.31357422,0.31599796,0.32616487,0.3406837,0.35567257,0.36797598,0.3766609,0.38192344,0.38465145,0.38467836,0.38159883,0.37427655,0.36196947,0.3442478,0.3232969,0.3043522,0.2941264,0.29577217,0.3065417,0.3202603,0.33247623,0.34281638,0.35249126,0.3619777,0.3700707,0.3758146,0.37860742,0.37864253,0.37673298,0.3745545,0.3737444,0.37446246,0.37554717,0.3758186,0.3752146,0.3743014,0.3731151,0.37100387,0.36708662,0.36048076,0.35063592,0.33771,0.3245455,0.31661487,0.32074746,0.33956262,0.36837855,0.39524993,0.40844497,0.40279636,0.38222277,0.35511455,0.32926062,0.30908692,0.29610947,0.2899544,0.28934178,0.29303393,0.30134735,0.31523994,0.3345681,0.35513136,0.37109825,0.37788162,0.37590733,0.36809793,0.35792866,0.34699628,0.33641323,0.32723752,0.32190502,0.32394382,0.33709848,0.3612859,0.39079043,0.4153459,0.4268713,0.42334422,0.4093238,0.39095524,0.37266752,0.3558079,0.3403126,0.3261141,0.31427935,0.30662945,0.3050088,0.3088577,0.314522,0.31593361,0.3089564,0.29451132,0.2788281,0.26978195,0.2715914,0.2822393,0.2939569,0.29899254,0.29500356,0.28736997,0.28473094,0.29293296,0.31138763,0.33457777,0.35466942,0.3654077,0.36392787,0.35259143,0.33563378,0.31576192,0.29257393,0.26617128,0.24103455,0.2253202,0.22714841,0.25095224,0.29379717,0.34573543,0.3904103,0.41731933,0.4250574,0.42409506,0.4218202,0.41962528,0.4113283,0.39466217,0.37333083,0.35581148,0.34849617,0.35316682,0.3674024,0.386299,0.40411615,0.41576245,0.41925314,0.41494814,0.4050049,0.39048603,0.37468472,0.36155224,0.35729754,0.36376357,0.38099346,0.40572128,0.43618634,0.4683517,0.4960324,0.511275,0.5089019,0.48962668,0.4570962,0.41659346,0.37332144,0.336522,0.3160361,0.31758514,0.33622947,0.36057416,0.3805387,0.39434364,0.40583706,0.41816652,0.42903614,0.43266854,0.4249853,0.4061772,0.38052022,0.35369596,0.3334637,0.3269359,0.33794466,0.36251795,0.3920546,0.41872022,0.4394064,0.45462862,0.4652649,0.47247615,0.47670606,0.4780558,0.4752971,0.46836853,0.45873496,0.4487729,0.4395971,0.43245566,0.43017212,0.436473,0.4509871,0.4680507,0.47958288,0.48162496,0.47419104,0.4588488,0.43601418,0.4079437,0.38080564,0.3620932,0.3550377,0.3555751,0.3570033,0.35697982,0.36077306,0.3764521,0.40597746,0.4417185,0.47007668,0.48172197,0.47646165,0.46288347,0.45037636,0.44357765,0.43966082,0.4313599,0.41161704,0.37926137,0.3420762,0.31552622,0.31364527,0.34032056,0.38540158,0.4337962,0.4749701,0.5076758,0.53314775,0.5487532,0.54752034,0.52565175,0.48814425,0.44753635,0.4162734,0.40079978,0.4007742,0.41142765,0.4256077,0.43534145,0.43514958,0.42422128,0.4058077,0.3830632,0.35769412,0.32972345,0.30015978,0.2713563,0.24982077,0.24536371,0.26647595,0.31116572,0.36270428,0.39749852,0.39909634,0.36940953,0.32523122,0.2877427,0.26917306,0.26904282,0.27634367,0.2785756,0.2685831,0.24784899,0.22403955,0.20489079,0.1927263,0.1822865,0.16613531,0.14184433,0.11614984,0.10059898,0.103604816,0.12485856,0.15596646,0.18757176,0.21482442,0.23982875,0.26489356,0.28973925,0.31002137,0.32372686,0.33192325,0.33812407,0.34448,0.3513163,0.35797486,0.36346117,0.36711308,0.3692117,0.3716153,0.3759295,0.3811897,0.38394758,0.3819015,0.37730238,0.37482727,0.37705803,0.37980667,0.3757986,0.3587818,0.3298967,0.2954854,0.26491722,0.24433303,0.23542015,0.23505212,0.2387991,0.24286513,0.24536943,0.24552704,0.24374706,0.24019341,0.23431426,0.22416385,0.20900567,0.1906947,0.17377512,0.16274834,0.16069745,0.16813548,0.18394214,0.20596313,0.23298788,0.26371062,0.2948883,0.32057622,0.33542398,0.33826423,0.33173612,0.31887034,0.3013035,0.2800896,0.2576352,0.23693518,0.22059833,0.20991056,0.2055071,0.20799138,0.2174276,0.23283815,0.25136045,0.2693666,0.28367767,0.29273963,0.29610622,0.2931111,0.28241757,0.26368344,0.23962234,0.2169237,0.20222975,0.19776969,0.19800128,0.19396512,0.17939217,0.15511984,0.12682562,0.10002136,0.07804031,0.06255513,0.05582731,0.05899932,0.0710173,0.08844007,0.10912776,0.1344667,0.16689233,0.20529163,0.24184906,0.26733518,0.27626365,0.2715458,0.2604015,0.25104064,0.24777055,0.2510531,0.25750926,0.26295248,0.26462638,0.2630774,0.2615089,0.26384154,0.27260327,0.28733906,0.3043978,0.31835976,0.32427236,0.32088515,0.3097206,0.29522112,0.27998695,0.2669287,0.25650343,0.25052103,0.24898906,0.25265476,0.2612208,0.27432927,0.29021052,0.3055458,0.31720966,0.32383952,0.32707456,0.32992765,0.33448052,0.3404498,0.34494457,0.34366706,0.33242455,0.3101765,0.28225318,0.2593982,0.25160643,0.26029003,0.27760267,0.2930175,0.30052206,0.3003191,0.29492494,0.28664398,0.2763803,0.26513398,0.25373954,0.24343984,0.23528288,0.23055689,0.2298147,0.23277307,0.2372358,0.24068363,0.24088769,0.23799045,0.23276477,0.22603543,0.21676345,0.20367883,0.18620752,0.1663785,0.14834023,0.1365354,0.13217117,0.13130258,0.12718835,0.11524477,0.09663009,0.07692053,0.063260436,0.061582584,0.075075574,0.101499766,0.13321699,0.16119742,0.18184125,0.19930077,0.22099501,0.25069037,0.2855645,0.31948712,0.3478248,0.3687093,0.38170135,0.38562045,0.3810934,0.370919,0.36054683,0.35307217,0.34860095,0.34362575,0.33497536,0.32138512,0.305446,0.2921908,0.28641912,0.28946033,0.29835388,0.30777597,0.31322512,0.3127674,0.3080331,0.30245423,0.30051503,0.30488282,0.3169901,0.33602485,0.36049142,0.38691294,0.41103697,0.42817128,0.43551576,0.43192995,0.41788396,0.39475277,0.3657227,0.3352007,0.3077779,0.28740895,0.2787919,0.2871054,0.3135748,0.35038257,0.38178912,0.39421096,0.38492286,0.3630847,0.34126034,0.32847264,0.32737136,0.33646274,0.3515223,0.36737415,0.37925413,0.3862525,0.3912009,0.39868414,0.40899846,0.4183921,0.42144123,0.41679838,0.40591753,0.39119193,0.37293604,0.3510339,0.3257519,0.29979968,0.27881488,0.27193812,0.286962,0.32393444,0.3700938,0.40549573,0.41459385,0.3962345,0.36208346,0.32562032,0.292374,0.2589555,0.22145651,0.18315439,0.15461268,0.14667499,0.16272925,0.1980781,0.2425346,0.28569797,0.318645,0.33752,0.34379864,0.3435131,0.34225705,0.3423554,0.3425363,0.34038368,0.3344649,0.32665047,0.32293376,0.3318931,0.358139,0.39766666,0.43828905,0.46833667,0.4828061,0.484674,0.47927105,0.47074994,0.46061525,0.44915318,0.43639278,0.42310712,0.41124737,0.40337503,0.40089524,0.40273276,0.40564582,0.40646866,0.40422478,0.40002608,0.39577413,0.39165393,0.38663653,0.3788114,0.36792183,0.35537276,0.34429014,0.33837533,0.34020552,0.3506423,0.36665258,0.38328382,0.39438292,0.39708504,0.39154312,0.38075688,0.36737964,0.35303196,0.33839586,0.3243258,0.31292042,0.30764326,0.31140783,0.32335234,0.33759263,0.34696662,0.34805965,0.3424481,0.3336451,0.32359895,0.3129802,0.30185154,0.2908591,0.28049216,0.27112815,0.2608309,0.24470578,0.2168724,0.17652673,0.13073958,0.09079466,0.064312056,0.051081736,0.045415234,0.041303445,0.03583384,0.02928628,0.02385895,0.022279441,0.027603671,0.04394251,0.07705199,0.13119084,0.20407766,0.28317615,0.3512535,0.39535236,0.41431418,0.4146161,0.40297273,0.3807232,0.3473222,0.3050371,0.26043746,0.2214024,0.19439079,0.18445973,0.19382481,0.22004104,0.25380772,0.28381136,0.3020055,0.30822304,0.30726245,0.30538023,0.30694738,0.31403318,0.32573977,0.33749756,0.3433509,0.34031853,0.33395615,0.33462894,0.35025248,0.37720874,0.40465173,0.42225978,0.42773578,0.42367068,0.41264203,0.3950665,0.37135813,0.3439541,0.3175324,0.29789257,0.29157925,0.3017322,0.32498595,0.3482281,0.35630465,0.33992353,0.30327654,0.2589416,0.22081713,0.19664438,0.18759407,0.1896838,0.19633196,0.20114744,0.20189108,0.2035446,0.21557324,0.24400973,0.28443572,0.32388926,0.34981266,0.35764468,0.35163257,0.3404733,0.33341178,0.33644882,0.34958518,0.36578393,0.37568858,0.37381396,0.36142647,0.34215927,0.31796926,0.2887759,0.25666916,0.22582407,0.19951321,0.17704697,0.15751816,0.14470394,0.14775546,0.17366242,0.22033696,0.2762015,0.3285867,0.36964688,0.3974323,0.41098213,0.41039655,0.39795038,0.3795656,0.36053002,0.34261537,0.32485285,0.30714524,0.29213992,0.2829636,0.28199348,0.2896807,0.30621597,0.32927635,0.35415256,0.37258375,0.3783541,0.3701253,0.3538994,0.33759138,0.3265653,0.32057562,0.31648496,0.31167662,0.3061755,0.30262563,0.30507466,0.31832552,0.34464374,0.38169873,0.4211371,0.45371094,0.47229025,0.4726381,0.45037147,0.40314636,0.3362917,0.2647896,0.2059318,0.16927762,0.15354776,0.15342431,0.16555524,0.18905985,0.22030775,0.2519916,0.2768065,0.29264256,0.30391356,0.31854558,0.34351277,0.38000545,0.4220297,0.45908687,0.48310903,0.49258658,0.4917557,0.4852439,0.47552237,0.46301296,0.4483159,0.43158495,0.41246748,0.39028826,0.36620054,0.3431127,0.32428035,0.31138256,0.30402234,0.30065927,0.2999026,0.30155456,0.3063858,0.31435892,0.32374248,0.33156288,0.3360872,0.33755326,0.33733013,0.33635536,0.33431152,0.33058843,0.32415855,0.31438628,0.3004513,0.28287295,0.2638056,0.24691457,0.23503955,0.2285319,0.22610034,0.22695316,0.23203935,0.2425801,0.25850657,0.27796936,0.298042,0.3151898,0.32648587,0.33114123,0.33189687,0.33303443,0.33726707,0.34333697,0.34747255,0.34613553,0.3380368,0.32416502,0.30689606,0.28884432,0.27221075,0.25844195,0.24890144,0.24471419,0.24646752,0.25264966,0.25953016,0.26180434,0.25554228,0.24027194,0.21975867,0.19963492,0.18481767,0.1779355,0.17959613,0.18907206,0.20371997,0.21947426,0.23153502,0.23869444,0.2435302,0.25185767,0.2660378,0.28444663,0.30190566,0.31578252,0.3261706,0.33525705,0.34354416,0.34999624,0.35267642,0.35074,0.34467587,0.33628368,0.32792285,0.3214699,0.317356,0.31429777,0.31082502,0.30654347,0.30240634,0.29921126,0.29687122,0.29463026,0.29191092,0.28829443,0.28328276,0.27641955,0.2681358,0.2601162,0.2550154,0.25505593,0.26092336,0.27106404,0.2825738,0.29258642,0.2993977,0.30252692,0.30183473,0.29693547,0.28662845,0.2698171,0.24723302,0.22359823,0.20637657,0.20179199,0.2103176,0.22725679,0.2462008,0.26304236,0.27618518,0.28565907,0.29169118,0.29436353,0.29337177,0.28895032,0.28281006,0.27840865,0.2785562,0.28329068,0.28888962,0.29088533,0.28653896,0.27674207,0.26407924,0.25140703,0.24023648,0.23127957,0.22465324,0.22035801,0.21850984,0.21985327,0.22590424,0.23767292,0.25383583,0.27018917,0.28169298,0.28540304,0.28149644,0.27199277,0.25875714,0.24274911,0.22445768,0.20452519,0.1841562,0.16498148,0.14880382,0.13724358,0.13131352,0.13136227,0.13674867,0.14616905,0.15776052,0.16974555,0.18065761,0.18951654,0.19575067,0.19908427,0.19942425,0.19676207,0.19115324,0.18282534,0.17215972,0.15960641,0.14575118,0.13142769,0.118005514,0.107005715,0.09990269,0.09759781,0.100410976,0.107839525,0.1187144,0.13146102,0.14427584,0.1547507,0.15958172,0.15552516,0.14175452,0.121400565,0.100417234,0.08408409,0.07435458,0.06986197,0.06805719,0.067019135,0.066010445,0.06493039,0.0638538,0.06272005,0.061472192,0.060035888,0.05844611,0.05670804,0.054887746,0.053036172,0.051252548,0.049612034,0.04814242,0.046861257,0.04573703,0.044776037,0.043910936,0.04307271,0.042295128,0.04171333,0.04145587,0.040776405,0.038870364,0.036048185,0.03705511,0.050318837,0.08545091,0.14605084,0.22639608,0.31154156,0.38491228,0.43558776,0.46203756,0.46887824,0.4614755,0.44368705,0.41823778,0.38933364,0.36160526,0.34030423,0.32818827,0.32667884,0.33411708,0.34865904,0.36681435,0.38526306,0.3999847,0.40853298,0.41059673,0.40750667,0.40159252,0.39433113,0.3867781,0.37796643,0.36646843,0.35080752,0.33147675,0.30951488,0.28629768,0.26330036,0.24393465,0.2321238,0.22985573,0.23510778,0.24391882,0.2534186,0.26305577,0.27383614,0.28651294,0.30095947,0.31497082,0.32544017,0.32934046,0.3258718,0.3159987,0.3020432,0.2863178,0.27095222,0.25814083,0.25161245,0.25572288,0.27260005,0.29669985,0.3158736,0.31630698,0.29362032,0.2557217,0.2198515,0.19953366,0.19819139,0.20964366,0.22798318,0.2515041,0.27989247,0.3078971,0.3274475,0.33833885,0.35664877,0.40830466,0.5078759,0.6419423,0.77366453,0.867232,0.90798753,0.90443486,0.87376994,0.83104134,0.78455544,0.73824674,0.69195193,0.64412373,0.59461886,0.54649234,0.5044337,0.47126803,0.44693947,0.42971718,0.4190407,0.41690052,0.42535388,0.443139,0.4637181,0.47959113,0.48673174,0.4860437,0.48010948,0.470427,0.4582604,0.44581744,0.4348283,0.4236257,0.4065192,0.37983167,0.34540978,0.31117415,0.28323177,0.26256397,0.2453425,0.22843672,0.21263494,0.20191717,0.20163657,0.21448547,0.23959257,0.2713407,0.30371067,0.33205077,0.35594773,0.37572792,0.39211693,0.40332305,0.40769807,0.4035995,0.3912692,0.37056664,0.339996,0.2982155,0.24862848,0.20283377,0.17494546,0.1726718,0.18992676,0.2134781,0.23329578,0.25381696,0.28924796,0.3546947,0.4508759,0.56370157,0.66920877,0.7484345,0.7933561,0.8077486,0.8008315,0.78163296,0.7554353,0.7221995,0.6798534,0.62827665,0.5736013,0.52519655,0.49110392,0.47299758,0.4673921,0.46839094,0.470953,0.47198948,0.47027075,0.4662347,0.46116877,0.45617977,0.4512565,0.44502953,0.4368548,0.42696467,0.41604698,0.40257815,0.3837711,0.3582224,0.32779363,0.29718718,0.27038503,0.2500997,0.23687895,0.23104976,0.23207565,0.23867436,0.24808605,0.2561477,0.2588134,0.253421,0.24115653,0.2259958,0.21322723,0.20567445,0.20281202,0.20106731,0.19648667,0.18695559,0.17350261,0.1591557,0.1468357,0.13744147,0.13013433,0.12357301,0.11782023,0.115100615,0.11928072,0.13280725,0.15398188,0.17685758,0.19591744,0.21018921,0.22351426,0.24063289,0.26498565,0.29992667,0.34889805,0.41244555,0.48405161,0.5524547,0.6074961,0.6446597,0.6637091,0.66537404,0.65061665,0.6214587,0.5819348,0.5370912,0.4921393,0.4517022,0.4190451,0.39569983,0.3811314,0.373425,0.36955607,0.36613908,0.3601531,0.34986565,0.33562994,0.32005218,0.30790737,0.30455175,0.31307134,0.33185586,0.3546568,0.37459803,0.3874611,0.3933804,0.39446607,0.39320958,0.3907263,0.38641384,0.37777087,0.36136138,0.3360969,0.30433843,0.27230993,0.24512571,0.22537391,0.21114124,0.19947886,0.18745004,0.17441316,0.16144685,0.15055774,0.14280184,0.13735546,0.1323919,0.12677549,0.12093503,0.11593514,0.11202628,0.10839608,0.10413382,0.09930398,0.09456683,0.0902189,0.08557419,0.080180414,0.075077094,0.07295325,0.07585108,0.083085515,0.09119233,0.09682787,0.09932103,0.10103061,0.10464367,0.11123153,0.11953572,0.1275161,0.13271134,0.1328568,0.12655723,0.11499745,0.102694444,0.09567233,0.09893984,0.11341258,0.1360891,0.16073981,0.18166281,0.19525939,0.20177813,0.2037052,0.20475467,0.20774896,0.21386589,0.22247021,0.23215693,0.2420853,0.25239155,0.26373518,0.27571914,0.28612188,0.29139766,0.28924802,0.28026572,0.26785526,0.2558963,0.24728566,0.2432797,0.2436517,0.24743259,0.25403956,0.2647275,0.27997616,0.29690632,0.3074483,0.30462816,0.2879845,0.26640508,0.25102693,0.24836344,0.25597274,0.26688457,0.27455553,0.2769964,0.27493447,0.2706962,0.26666737,0.266063,0.27039918,0.2780687,0.28367794,0.28282526,0.2750025,0.2653997,0.26033136,0.2642833,0.2765949,0.29359558,0.31028843,0.32342303,0.33258379,0.3414804,0.35650095,0.3828589,0.41928712,0.45742366,0.48519334,0.4937192,0.4805998,0.4514736,0.41707888,0.3890383,0.3742167,0.3719835,0.37601247,0.37867606,0.37485388,0.3631281,0.34564087,0.3276867,0.31589684,0.31482795,0.32381138,0.33721283,0.3485372,0.35380152,0.3522476,0.34447137,0.33219215,0.31819353,0.30571547,0.2963386,0.29033315,0.28817824,0.29133558,0.29963025,0.30911812,0.3136076,0.3087038,0.29436716,0.2730135,0.24711089,0.21842158,0.19030543,0.16791296,0.15709676,0.16103423,0.1801083,0.21165507,0.25161263,0.2940456,0.3321024,0.35968983,0.37396106,0.37671757,0.37265906,0.36663723,0.36027196,0.35095707,0.3332654,0.30419978,0.26788944,0.23674457,0.22349449,0.23272137,0.25559175,0.27764794,0.28744122,0.2835069,0.2702792,0.25381812,0.23746252,0.22280528,0.20993114,0.1987182,0.18884204,0.18163037,0.1813193,0.19559868,0.23052342,0.2842637,0.34368667,0.39142382,0.41563013,0.41533256,0.39719734,0.3700941,0.34344277,0.32499346,0.3186963,0.32145548,0.32728454,0.33245564,0.33860633,0.34787694,0.3578051,0.36078727,0.34954575,0.32330307,0.28819236,0.2539987,0.22741973,0.2103651,0.19972092,0.19187748,0.18400423,0.1764524,0.17213689,0.17749743,0.1971845,0.22996537,0.26482293,0.2885982,0.29274854,0.2785394,0.25165656,0.2179116,0.1805482,0.1424075,0.106961496,0.079237156,0.06508169,0.0710971,0.10014721,0.14824541,0.2014876,0.24374552,0.26403332,0.2637858,0.251914,0.23890369,0.22995329,0.22535656,0.22151919,0.21448348,0.20220691,0.18767796,0.17861985,0.1834126,0.20443098,0.23487727,0.26325253,0.28119472,0.2878588,0.28703928,0.28228283,0.27480704,0.2645081,0.25115404,0.23540324,0.22020583,0.21236986,0.21925575,0.24391472,0.28017473,0.31715912,0.34507212,0.36121127,0.3670853,0.36537644,0.35699114,0.342499,0.32317308,0.30149224,0.2807995,0.26465678,0.2562473,0.25668842,0.26414573,0.27390715,0.28097084,0.28266707,0.2801673,0.27730688,0.2777083,0.282735,0.29081056,0.30017832,0.3088822,0.3159299,0.31822562,0.31446353,0.3049642,0.29475328,0.28789616,0.2864664,0.28824148,0.2905341,0.29147652,0.29041317,0.28608024,0.27585408,0.25810882,0.23342645,0.20503372,0.17594244,0.14958362,0.12949783,0.11876047,0.11671647,0.119135,0.122832,0.12847991,0.13945758,0.15588866,0.17479755,0.19285516,0.21009736,0.22772193,0.2451688,0.26005414,0.26985493,0.27358517,0.27069864,0.26214978,0.24997567,0.23782574,0.2282954,0.2231226,0.22255193,0.22685736,0.23639119,0.2515372,0.27201176,0.29495683,0.31630865,0.33169356,0.33983266,0.34186625,0.3414071,0.34233293,0.3471142,0.3552295,0.363162,0.3685405,0.3733616,0.38593817,0.41478753,0.46170092,0.5165991,0.56239754,0.5843565,0.57606083,0.53845966,0.47511756,0.39401945,0.30919924,0.23942585,0.19730675,0.18362015,0.18915899,0.20451112,0.22418857,0.24561703,0.26573682,0.28151873,0.29173946,0.29774514,0.3021607,0.30707893,0.31338957,0.3207044,0.32812038,0.3339658,0.33648062,0.33462334,0.33017206,0.32660758,0.32707256,0.3310463,0.33596075,0.33882722,0.33888283,0.33614364,0.3310367,0.32345903,0.31334865,0.3008429,0.28658503,0.27273008,0.26282752,0.26143622,0.27056,0.2876697,0.30472156,0.3132938,0.3089568,0.29410243,0.27455956,0.25600752,0.24161397,0.23253168,0.22873461,0.22896482,0.2312433,0.23351283,0.23584475,0.23948161,0.24558783,0.25183463,0.25418073,0.24906766,0.23714554,0.2227745,0.21206667,0.21025504,0.21917033,0.23719914,0.25948176,0.28092253,0.29745412,0.30771494,0.312157,0.31220296,0.30864248,0.30161867,0.29141152,0.27936012,0.26755765,0.2577502,0.25075763,0.24653377,0.24460287,0.24397135,0.24320084,0.24093242,0.23665833,0.23101087,0.22524445,0.22056608,0.2177794,0.21704446,0.21800643,0.21989155,0.22207709,0.22411084,0.22541638,0.22470409,0.21970189,0.20835155,0.19035041,0.16881007,0.14878611,0.13488515,0.12853573,0.12848288,0.13238947,0.13846721,0.14561142,0.15265594,0.15834463,0.16140962,0.1617692,0.16058992,0.16035682,0.16302086,0.1689731,0.17626089,0.18229131,0.18508548,0.1844653,0.18112011,0.17601962,0.16964085,0.16218668,0.15374742,0.14467092,0.135996,0.12953186,0.12709574,0.12931512,0.1346855,0.14069612,0.14510585,0.1474077,0.1480104,0.14760906,0.14635055,0.14410265,0.14054812,0.1351853,0.12803914,0.120683245,0.11726711,0.12219316,0.1369278,0.15714721,0.17577432,0.18714248,0.19095425,0.19053216,0.19029273,0.19260798,0.19764845,0.20364016,0.20858337,0.21137746,0.21259703,0.21374835,0.21619713,0.22028013,0.22527854,0.23000167,0.23344325,0.23522396,0.23521577,0.2332881,0.22905254,0.22286917,0.21654052,0.21403563,0.21940453,0.23435366,0.25543472,0.27608523,0.28981817,0.29421988,0.289683,0.2770559,0.25489804,0.22191487,0.18034744,0.13903664,0.1099177,0.10213765,0.11570833,0.1420871,0.16914928,0.1884359,0.19802473,0.20096545,0.20142277,0.20213385,0.20450099,0.20897256,0.2160107,0.22605614,0.24063788,0.26105773,0.28724274,0.31524214,0.33905563,0.35328594,0.3570274,0.35313806,0.3457372,0.33673158,0.3260112,0.31210935,0.29478106,0.2753947,0.25978488,0.25630808,0.27224684,0.3066423,0.3496708,0.38790205,0.41277948,0.42395023,0.42684814,0.42659473,0.42534995,0.42255804,0.41914666,0.41816637,0.42399207,0.4381262,0.45823848,0.4781101,0.49103603,0.4920719,0.47973135,0.45460728,0.41750845,0.36963186,0.31394672,0.25740817,0.20985807,0.1826092,0.1854018,0.22111297,0.28179917,0.3477721,0.39952692,0.42701542,0.43555292,0.43591115,0.43757486,0.4441855,0.45714608,0.4766251,0.50186133,0.5299052,0.55682796,0.57857174,0.59247893,0.5955362,0.5841656,0.5549443,0.5078172,0.44823813,0.38549408,0.3319197,0.29776326,0.28874788,0.29945695,0.31833613,0.33469543,0.349215,0.3697535,0.40108874,0.4351859,0.45520404,0.44724122,0.41049623,0.35641086,0.3009993,0.2559891,0.22713308,0.21636756,0.22505975,0.25273213,0.29451978,0.34120822,0.38294753,0.4138097,0.43227205,0.44028878,0.44112262,0.43932128,0.43832734,0.4388559,0.43784615,0.4318955,0.42124805,0.41070434,0.40598777,0.40824196,0.41337284,0.41533855,0.4114205,0.4028773,0.39260587,0.3821281,0.37103024,0.3582033,0.3424538,0.32298782,0.2992915,0.27260217,0.2467156,0.2281364,0.22365047,0.23685803,0.26573214,0.30168188,0.3327891,0.34800705,0.34343812,0.32350707,0.29859576,0.27854478,0.26882806,0.26987174,0.27880046,0.2920066,0.3066007,0.3229355,0.34172332,0.36283705,0.38106573,0.39198223,0.3936235,0.38890028,0.3787873,0.36072898,0.33147874,0.2923504,0.25184944,0.22072928,0.20890981,0.21697249,0.23528166,0.24455576,0.2310316,0.19433136,0.14847471,0.10763053,0.078407764,0.058805536,0.04518658,0.035218723,0.028500808,0.025127716,0.026149163,0.033975348,0.052048057,0.08180358,0.11957023,0.15651447,0.18345441,0.19595575,0.19580705,0.1878878,0.17682128,0.1656134,0.15611333,0.15013993,0.15005618,0.15952854,0.18142433,0.2150654,0.25301334,0.28371367,0.29648498,0.2876698,0.2609696,0.2258395,0.19322622,0.17350425,0.17202036,0.18752114,0.21194239,0.23718023,0.26031193,0.2845763,0.313138,0.34281158,0.36531353,0.37279496,0.36480144,0.34684274,0.32675803,0.30922732,0.29538277,0.28392664,0.27317655,0.26251197,0.25339928,0.25020656,0.2576973,0.27655667,0.30005452,0.3168366,0.31841028,0.30408803,0.28049716,0.25587577,0.2367873,0.22589631,0.22282495,0.22361392,0.22371139,0.21990241,0.21322735,0.20623235,0.20107634,0.1967927,0.19174337,0.18463582,0.17624503,0.16771619,0.16036701,0.1545759,0.1504143,0.14727753,0.14450656,0.14178073,0.14021453,0.14279796,0.15257037,0.1693757,0.18729,0.19741194,0.19377434,0.1774922,0.15493925,0.13178413,0.110304736,0.08993561,0.070907205,0.0553121,0.04783077,0.05499223,0.08172358,0.1269096,0.17993475,0.22650808,0.2559836,0.26782298,0.26786005,0.26322696,0.2575946,0.25189248,0.24575692,0.23904783,0.23238249,0.22713913,0.22542453,0.22827606,0.23501451,0.24253047,0.2483017,0.25117803,0.25223458,0.25177428,0.24934672,0.24357124,0.23456764,0.22320189,0.21125989,0.20032929,0.19383796,0.19683947,0.21400113,0.24433656,0.27895543,0.30482456,0.31169394,0.2969258,0.26447037,0.22153212,0.17555875,0.1326812,0.096964456,0.070159785,0.05222626,0.042881664,0.043572914,0.05885115,0.09367198,0.14755215,0.21091588,0.26897612,0.31135833,0.33742943,0.35410693,0.3683935,0.38362357,0.39909765,0.41260755,0.42158607,0.42456535,0.42110002,0.4117451,0.39731744,0.3793668,0.36025515,0.3428664,0.32955554,0.32168046,0.31979966,0.32340428,0.33108985,0.3403387,0.34894595,0.3550867,0.35783783,0.35648808,0.35101685,0.34186688,0.32979515,0.31529078,0.29875514,0.2807882,0.26238143,0.24466328,0.22879791,0.21597998,0.20719843,0.20303057,0.20341648,0.20812607,0.21664828,0.22832783,0.24197264,0.2562639,0.2698763,0.28172123,0.29094175,0.29698053,0.29966167,0.29909787,0.29543698,0.28884432,0.2793735,0.26725402,0.2528176,0.23670219,0.21976626,0.20315038,0.18816854,0.17619157,0.16830216,0.1651132,0.16655171,0.17203103,0.18050559,0.19067623,0.20121735,0.21100138,0.21933602,0.22577012,0.23009093,0.23212413,0.23189591,0.22945333,0.2249778,0.21872407,0.21116714,0.20280117,0.19412231,0.18553215,0.17755175,0.17060477,0.1650626,0.16102026,0.15856299,0.15763968,0.15808924,0.15954703,0.16155212,0.16363259,0.16532652,0.16620566,0.16602267,0.16472434,0.1624183,0.15923487,0.15529977,0.15084027,0.1461128,0.14146073,0.13719612,0.13366807,0.13117333,0.12992193,0.1299962,0.13136981,0.13388872,0.13730073,0.14126264,0.14544113,0.14949109,0.15306197,0.15580036,0.1574362,0.1578191,0.15690637,0.15472697,0.15135868,0.14690948,0.14148529,0.13521956,0.12831785,0.12108961,0.113931835,0.10728026,0.101561405,0.09716364,0.094359435,0.09331747,0.09400484,0.09622937,0.09960415,0.103612065,0.107601516,0.11074268,0.11221752,0.11155354,0.10906599,0.1057266,0.10263559,0.100363344,0.09878867,0.097297795,0.095172726,0.09186742,0.087210126,0.081383206,0.074758954,0.067682534,0.06039311,0.053064167,0.045847386,0.038869496,0.032226797,0.02599063,0.020277148,0.015251276,0.011123776,0.008014291,0.005865844,0.0044350424,0.003424897,0.0026432946,0.0020259977,0.0015869263,0.0013044883,0.0011193388,0.0009498941,0.00075234106,0.00052776927,0.00031495534,0.00015267804,5.6886678E-05,1.4627066E-05,2.097769E-06,1.8810324E-09,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]