[0.025596723,0.042873174,0.08212068,0.1330304,0.18121767,0.2148329,0.23036087,0.2316968,0.22436969,0.21155155,0.19525497,0.17862211,0.1660391,0.16049707,0.16214281,0.1684079,0.17592518,0.1818726,0.18496199,0.18500324,0.18242492,0.17724906,0.16922994,0.157432,0.14106639,0.12066427,0.10038067,0.08835892,0.09202746,0.11293844,0.14343412,0.17338552,0.19553132,0.20981121,0.21826394,0.22297688,0.22433944,0.22353697,0.22205184,0.22118889,0.220991,0.22099423,0.22061747,0.21897317,0.21317072,0.19839658,0.17066182,0.13150476,0.08885205,0.052580167,0.028362393,0.015646845,0.012124064,0.018610252,0.041094486,0.08354098,0.1424827,0.20381343,0.25352833,0.28375116,0.29670367,0.29535723,0.28148198,0.25539124,0.2223301,0.1906094,0.168292,0.15822415,0.15879564,0.16579832,0.17476963,0.18207236,0.18536316,0.18387634,0.17799366,0.16893114,0.1581101,0.14580858,0.13145109,0.115222566,0.10167558,0.09793813,0.10921224,0.13309692,0.16203994,0.18826479,0.2083023,0.22122623,0.2269926,0.2258391,0.21985579,0.21236835,0.2066301,0.20427145,0.20517878,0.20779268,0.20984854,0.20974386,0.20719124,0.20311445,0.1982645,0.1926967,0.18613577,0.17868249,0.1709721,0.16456892,0.16399859,0.17750742,0.2130553,0.26818684,0.32714605,0.36791757,0.38086024,0.37262484,0.36027113,0.35346106,0.35155392,0.34634638,0.33188736,0.30745366,0.27782407,0.24991852,0.22887726,0.21552612,0.20682447,0.19906372,0.19040294,0.18135683,0.17295201,0.16558968,0.15829201,0.14984709,0.13980968,0.13040282,0.12622862,0.13152264,0.14635205,0.1656071,0.18320566,0.1959548,0.20477946,0.21103592,0.215151,0.21673886,0.21670423,0.21648012,0.21709186,0.2185417,0.2205804,0.2230577,0.22489445,0.22338216,0.213633,0.19158573,0.1566274,0.11458379,0.07437773,0.043896034,0.025592586,0.02031003,0.031702187,0.069419436,0.13862143,0.23195183,0.32507738,0.39398566,0.4262528,0.42789435,0.4095819,0.38051262,0.3453709,0.3105636,0.28258684,0.26482758,0.2547182,0.24713479,0.23899843,0.23056452,0.2240582,0.22067846,0.2200946,0.22025754,0.21923037,0.21633267,0.21272226,0.21014895,0.20940101,0.20984484,0.21026339,0.21017449,0.21049152,0.21299821,0.21841455,0.22509235,0.22918285,0.22820814,0.22198503,0.21214265,0.19722952,0.17532831,0.14738105,0.123721965,0.116263725,0.1315581,0.16237886,0.19713284,0.22619347,0.24886541,0.26695117,0.2820058,0.29255298,0.2969827,0.29562673,0.29341272,0.300428,0.32745457,0.37631622,0.43443286,0.4799787,0.4988779,0.49256536,0.47447225,0.45343497,0.42940065,0.39674678,0.35548878,0.3123312,0.2769108,0.2548842,0.24558918,0.24367541,0.24273288,0.2392752,0.23352444,0.2279884,0.22392029,0.22038017,0.21562445,0.21007796,0.20628355,0.20679145,0.21092458,0.21549623,0.2169634,0.21480232,0.21125656,0.20962806,0.21140702,0.21513538,0.2178783,0.21784842,0.21649553,0.21729302,0.22269921,0.23225747,0.24243228,0.24949276,0.25085452,0.24738812,0.24196468,0.23795784,0.23601447,0.23389192,0.22903013,0.22135091,0.21452522,0.2147789,0.2294184,0.26550126,0.32204625,0.3878051,0.44006947,0.46297193,0.45381162,0.4273828,0.39862683,0.37576446,0.3565602,0.33658567,0.31476977,0.29425737,0.27939644,0.27099803,0.26678,0.26324007,0.25923088,0.25552127,0.25389448,0.25503588,0.25851527,0.2627318,0.2659379,0.26747215,0.26811352,0.26924554,0.27018413,0.26859,0.26220486,0.252422,0.24295075,0.23780335,0.2379476,0.24265718,0.2499334,0.25804153,0.2643131,0.26665697,0.26465976,0.26103926,0.25956753,0.26251367,0.26908824,0.27684692,0.28363565,0.28904006,0.29403552,0.30012515,0.30756387,0.31425735,0.31602773,0.30918443,0.2946348,0.2790927,0.27161536,0.2756953,0.28585804,0.2916313,0.28607756,0.2695786,0.24697293,0.22289586,0.20060427,0.18317486,0.174414,0.17632705,0.18719466,0.20048101,0.20870562,0.20670415,0.1942275,0.17441233,0.1523844,0.13369401,0.12257824,0.12026083,0.12445084,0.13250689,0.14316045,0.15653604,0.17084102,0.1831138,0.19125633,0.19705196,0.20376511,0.21323071,0.2231664,0.2288645,0.22516517,0.20933951,0.18206011,0.14962594,0.123147495,0.116170324,0.13547222,0.17588103,0.21981879,0.24932116,0.254558,0.23790412,0.20771986,0.17404364,0.14504169,0.12551491,0.1169448,0.11984864,0.13756631,0.1728241,0.22149308,0.269447,0.3009739,0.30908892,0.29821917,0.2772657,0.25250486,0.22688836,0.20288242,0.183416,0.17002118,0.16104762,0.15235667,0.13953422,0.120308034,0.09618475,0.07205385,0.054212097,0.046124894,0.04615861,0.04789159,0.045181394,0.03610782,0.02389276,0.013097831,0.0062669697,0.0030741084,0.0020261633,0.002021073,0.0026970578,0.004072524,0.0061078216,0.008490649,0.010634343,0.012008615,0.012462653,0.013025119,0.01668029,0.02916188,0.055740148,0.09675724,0.14362468,0.18443279,0.21129437,0.22580738,0.23285125,0.23440135,0.22732805,0.20887797,0.18121664,0.15138392,0.12933849,0.123354316,0.13668986,0.16308032,0.19016181,0.20589454,0.20608796,0.19323534,0.1727404,0.14884716,0.12552388,0.10635213,0.094653696,0.09137761,0.09512523,0.10218951,0.10877084,0.11254891,0.11355972,0.11271512,0.109913744,0.10338438,0.09156301,0.075573035,0.05977759,0.04886311,0.045140732,0.048421044,0.059155244,0.07798055,0.102966286,0.12604743,0.13727757,0.13138601,0.11332045,0.09498439,0.08774673,0.09519965,0.11251476,0.13124977,0.14538066,0.15335552,0.1568021,0.1573745,0.15535839,0.14912641,0.1369123,0.11937819,0.10065926,0.08657294,0.07928354,0.07696702,0.07661424,0.08056558,0.09495873,0.123548724,0.16129376,0.19567138,0.21522434,0.21589552,0.20259039,0.18361115,0.16582595,0.15239644,0.14388905,0.14033382,0.141241,0.14546458,0.15055154,0.15369754,0.1524229,0.14514999,0.13155611,0.11296446,0.092745565,0.07531632,0.064400874,0.061367232,0.06577493,0.0765299,0.09261169,0.11193434,0.1312509,0.14697812,0.15643026,0.15754505,0.14857578,0.12968709,0.10467434,0.080294095,0.062076375,0.051182788,0.045375478,0.042722996,0.043492183,0.048517372,0.056700304,0.06508867,0.07049739,0.07135904,0.06732502,0.059216425,0.048467714,0.037585694,0.029068546,0.02528772,0.028221777,0.040374998,0.06308525,0.09387827,0.12480348,0.14566487,0.14990807,0.13779645,0.11525016,0.08964311,0.06756114,0.053194653,0.04802658,0.05098773,0.060489107,0.0771266,0.10246911,0.13608548,0.1716487,0.2004299,0.21638562,0.2206626,0.21881115,0.21590465,0.21403943,0.21292062,0.21244597,0.21229728,0.21223104,0.21082161,0.20644338,0.19707644,0.18191822,0.16231185,0.14255847,0.12853767,0.12455594,0.13082968,0.14234276,0.1522861,0.15611427,0.15599215,0.15913348,0.17234491,0.19484174,0.21757333,0.22940291,0.22529097,0.20786627,0.18359114,0.1576689,0.13472855,0.119128995,0.115763284,0.12666184,0.15179165,0.18747993,0.22751884,0.26173046,0.2806882,0.27937147,0.26019388,0.2299698,0.19644237,0.1656263,0.14069103,0.121892035,0.10703534,0.09340113,0.07914186,0.06431972,0.050371576,0.03915487,0.031499006,0.027504852,0.0275812,0.033328563,0.045925904,0.064201824,0.08389184,0.099885754,0.1084084,0.10940543,0.10544866,0.10082078,0.097615354,0.09580181,0.09302182,0.087838225,0.07964633,0.0688452,0.05583315,0.041604884,0.028144673,0.017683601,0.011588414,0.00951505,0.010367561,0.013303657,0.018393643,0.02631017,0.038299184,0.05643459,0.082350224,0.11508324,0.1486241,0.17461543,0.18721324,0.18896371,0.18923168,0.19751571,0.21510907,0.23401032,0.24386537,0.23941888,0.22284837,0.19904959,0.17236896,0.14520451,0.11952591,0.096646704,0.07781227,0.06472314,0.059956133,0.065052845,0.078148924,0.093919754,0.106678545,0.11367064,0.11580941,0.11565587,0.11530628,0.11479109,0.11219219,0.10555306,0.09672826,0.09312647,0.10312394,0.12870298,0.16185904,0.19097044,0.20879467,0.216401,0.21868353,0.21952336,0.21908225,0.21526408,0.20639265,0.19383045,0.18304622,0.17973174,0.1853138,0.19277544,0.19239192,0.17847885,0.15720205,0.14161028,0.14340961,0.16282816,0.19004254,0.21334215,0.22834955,0.23962782,0.25335658,0.27078375,0.28581405,0.2915629,0.28526366,0.27052566,0.25306123,0.23748381,0.22594889,0.21908997,0.21669705,0.21762305,0.22037356,0.22387171,0.22810312,0.2334693,0.23974884,0.24571414,0.24990557,0.2515639,0.25092283,0.24873064,0.24610269,0.24427529,0.244805,0.24877803,0.25687036,0.26755926,0.27781215,0.28293088,0.2808498,0.2723044,0.2614201,0.25134423,0.24403678,0.23973392,0.23914416,0.24289025,0.25112513,0.26251504,0.27447638,0.28408876,0.28936613,0.2894462,0.28393686,0.27139184,0.2522416,0.22962189,0.21024704,0.19594954,0.1829703,0.16468991,0.1441309,0.13432741,0.1498252,0.19208348,0.24686141,0.294268,0.3221424,0.3314378,0.33040115,0.3265952,0.3222121,0.31559524,0.3041475,0.28760865,0.2691169,0.25443527,0.24808799,0.2501903,0.2563089,0.26146945,0.2633762,0.26290473,0.26160124,0.26061073,0.260232,0.26055798,0.26011074,0.2562434,0.24589993,0.22900349,0.20861512,0.18992424,0.1762817,0.16815583,0.16322464,0.15884317,0.1532167,0.14625458,0.13907076,0.13348477,0.13086893,0.13185067,0.13611472,0.14297263,0.15092137,0.15774326,0.16081287,0.15863603,0.15149535,0.14114448,0.1295757,0.118410625,0.10921367,0.1044919,0.10820523,0.12474891,0.15529537,0.19497885,0.23315157,0.260141,0.2729185,0.27697417,0.27993444,0.285728,0.2917103,0.29244354,0.28498724,0.27234334,0.26249108,0.26208875,0.27180684,0.28408077,0.28979242,0.2837118,0.26997605,0.25772002,0.25574055,0.2653592,0.2812885,0.29547867,0.30257508,0.30126777,0.2937174,0.2841252,0.27675334,0.27314362,0.27065897,0.26437688,0.25168595,0.234362,0.21759136,0.20550734,0.19976096,0.19950038,0.20409833,0.21385847,0.22942346,0.25058404,0.27439928,0.29649988,0.31167543,0.31856635,0.31920078,0.31822562,0.31603345,0.30876097,0.2914654,0.2662563,0.2419395,0.22772904,0.2255965,0.23052926,0.23670101,0.24185395,0.24709368,0.25281462,0.25730988,0.25701335,0.2500893,0.2379701,0.22602606,0.2196874,0.22134757,0.2281316,0.23448376,0.23579264,0.23147546,0.22474329,0.2196275,0.21827967,0.21949762,0.22064394,0.2197641,0.2177469,0.21766376,0.22213025,0.23080182,0.23950084,0.24367778,0.24129355,0.23493819,0.22944206,0.22908497,0.23526712,0.24618948,0.2584574,0.268734,0.27578184,0.28059813,0.28518167,0.29040897,0.2948936,0.29641354,0.29373038,0.2876955,0.2802991,0.2734994,0.26868275,0.26628527,0.26602304,0.2667781,0.26763305,0.26777366,0.26708138,0.26557586,0.26414397,0.26342818,0.26354292,0.2628715,0.25991324,0.2542485,0.24794988,0.24334508,0.24186827,0.24261378,0.24409156,0.24481155,0.2444791,0.24326247,0.24211478,0.24184024,0.2428558,0.24440543,0.24554361,0.2461707,0.2473859,0.24975075,0.25121817,0.2475544,0.23554796,0.21645117,0.19570239,0.1792556,0.16986217,0.16657771,0.1669022,0.16901106,0.17245604,0.17760378,0.1847064,0.1935103,0.20400934,0.21705578,0.23373897,0.2528617,0.27067325,0.28277746,0.28794345,0.28814742,0.28678846,0.28491816,0.27986178,0.2666931,0.24565418,0.22891195,0.23715174,0.28243238,0.35331944,0.41999957,0.45699334,0.4601418,0.4434447,0.42255473,0.4054493,0.3923746,0.38264704,0.37608597,0.37382817,0.3759711,0.37850884,0.37281752,0.34764585,0.30037066,0.2403652,0.18796511,0.16076258,0.164822,0.19216307,0.2267514,0.2549468,0.2703724,0.27543733,0.27454567,0.27030054,0.26091275,0.24275966,0.21471329,0.18170033,0.15596187,0.14896597,0.16456832,0.1940055,0.2260011,0.2540091,0.28091052,0.30875623,0.33309862,0.34201023,0.3274519,0.29160544,0.24744518,0.20958705,0.18840648,0.18643361,0.20018624,0.22269009,0.24879152,0.2782835,0.3151277,0.3599483,0.4057238,0.43788767,0.445904,0.42966458,0.40138254,0.37385178,0.35334933,0.33724645,0.3218526,0.3069913,0.29752782,0.29764974,0.30661905,0.31532356,0.31151783,0.28746518,0.2472779,0.20359801,0.1692636,0.14947481,0.14238109,0.1429462,0.14688732,0.15145741,0.15553717,0.15919821,0.16342866,0.16975714,0.18031728,0.19612215,0.21655385,0.23813121,0.2577602,0.27297354,0.28314003,0.2869885,0.28420663,0.27682272,0.27155256,0.27489722,0.28791764,0.30177042,0.3057381,0.29509962,0.27581665,0.25671667,0.2420392,0.23021048,0.21961339,0.21426333,0.22272325,0.25263152,0.3043915,0.3678825,0.42635596,0.4626957,0.4696782,0.4512221,0.4214513,0.39452827,0.3794223,0.37560907,0.3773636,0.37916157,0.3794923,0.37964082,0.3784404,0.37114444,0.35236228,0.32313737,0.29156956,0.2671769,0.25298104,0.24459743,0.23685539,0.2306004,0.23199354,0.24583562,0.26846468,0.28977808,0.29937312,0.29412493,0.2789287,0.26234165,0.25150532,0.24649443,0.2433436,0.23615569,0.22451656,0.21120082,0.20169006,0.20048778,0.21079303,0.23236012,0.25864005,0.27971125,0.286572,0.27719578,0.2553366,0.22860718,0.2041394,0.18683833,0.17835031,0.18163435,0.2020108,0.24672262,0.31384352,0.3903241,0.45275536,0.48406744,0.48098728,0.4571837,0.42982528,0.4102144,0.39898476,0.39198947,0.3860633,0.38158616,0.37976965,0.37801155,0.36862555,0.34307423,0.3000394,0.24826641,0.20150466,0.16915782,0.15210561,0.14570405,0.14511742,0.14773041,0.15207122,0.15677293,0.16080318,0.16424327,0.16786867,0.17184736,0.17564158,0.17932455,0.18552113,0.19737196,0.21557765,0.23531616,0.249749,0.2547574,0.2534707,0.25483584,0.2660617,0.2860193,0.30268145,0.30462527,0.28909782,0.26608744,0.24594377,0.23303981,0.22364931,0.21492934,0.20872648,0.21246944,0.23420204,0.27755153,0.3357687,0.39180377,0.425596,0.42781365,0.40543506,0.37616113,0.35461172,0.345224,0.34361586,0.34318066,0.3401463,0.33501792,0.33141437,0.32983145,0.32530892,0.30751213,0.2722089,0.22555979,0.1847459,0.16502284,0.17182808,0.1976264,0.22844215,0.25201714,0.2623521,0.26098642,0.25361368,0.24650256,0.2417165,0.23594272,0.22470371,0.20826954,0.19453631,0.19219907,0.20450772,0.22502631,0.24468501,0.25671974,0.26291898,0.2687154,0.27845016,0.2884867,0.29094592,0.28108013,0.26174948,0.24021421,0.21943039,0.19801544,0.17384177,0.15189725,0.14322156,0.15917772,0.20464264,0.27110556,0.3414693,0.3927457,0.4140269,0.40629423,0.38593805,0.36588088,0.35433665,0.34897617,0.34704423,0.3449274,0.34278044,0.34148467,0.34172463,0.3401225,0.33071932,0.31061614,0.28386176,0.25972846,0.2444366,0.23798686,0.23546988,0.23296814,0.22995818,0.22843318,0.2311034,0.2379315,0.24627352,0.25070772,0.24766545,0.23805661,0.22713232,0.22060294,0.21862544,0.21716924,0.21153773,0.20325549,0.19853021,0.20372415,0.22052492,0.24421267,0.26749313,0.28207815,0.28530267,0.27927208,0.27119637,0.26581964,0.26404512,0.26206174,0.2549846,0.23986526,0.22092982,0.21179147,0.22927277,0.27837238,0.34445643,0.40060344,0.42812356,0.4258878,0.40759996,0.38745543,0.37475696,0.3710123,0.37391925,0.37885514,0.38255715,0.38370228,0.380571,0.37012267,0.3494558,0.32178697,0.2953197,0.27793118,0.26998937,0.2660354,0.26125124,0.2560413,0.25459933,0.2622207,0.28429124,0.32443467,0.37815464,0.4303185,0.46184087,0.46418262,0.44415757,0.4177009,0.3967657,0.3856626,0.38229302,0.3840587,0.38868043,0.39457402,0.39695796,0.3873184,0.3562981,0.30175346,0.232944,0.16584511,0.11341701,0.07921787,0.060485974,0.054189,0.060159218,0.08095799,0.11927732,0.17829633,0.25271407,0.32809663,0.37904716,0.39080656,0.3644979,0.32087523,0.27814242,0.24606387,0.22243585,0.20424086,0.19023085,0.18151152,0.17816447,0.17837997,0.17935342,0.17893459,0.17665529,0.17329524,0.17001982,0.16752447,0.16615951,0.16611217,0.16761239,0.1705901,0.17423885,0.1772002,0.17816465,0.17695661,0.17453428,0.17249759,0.17192566,0.17313485,0.17579521,0.17971295,0.18477856,0.19072093,0.19621767,0.1996274,0.19989079,0.19789779,0.19518046,0.193056,0.19181086,0.19299275,0.19916399,0.21282293,0.23184042,0.25029147,0.26066104,0.26000527,0.2516695,0.24537839,0.2536402,0.2824916,0.32570073,0.36267963,0.3760533,0.36227727,0.33679,0.31596342,0.30665362,0.3028685,0.2964698,0.2848791,0.2721736,0.26546597,0.26785156,0.27672297,0.28410313,0.283458,0.2727835,0.25539157,0.23765428,0.22586124,0.22522652,0.235256,0.25141641,0.26691976,0.2805636,0.29776776,0.32360074,0.35532734,0.3786007,0.38244438,0.36537263,0.33951107,0.31426415,0.2930652,0.27216658,0.25128427,0.23474133,0.23006557,0.24146824,0.26605332,0.29462454,0.3165456,0.3276092,0.33104086,0.33416334,0.34088543,0.3501103,0.35832202,0.36331978,0.36607537,0.36978027,0.37907878,0.39630613,0.417528,0.43197432,0.4289371,0.40760434,0.3781834,0.3532623,0.33600247,0.31865442,0.2900739,0.24566175,0.19216423,0.14487447,0.12144727,0.12901261,0.16011469,0.19298315,0.21019727,0.2058128,0.18957454,0.17216557,0.16073571,0.15519845,0.15420972,0.15767469,0.16941123,0.19697447,0.24551189,0.3108343,0.3753973,0.41824755,0.4274415,0.40745887,0.37180924,0.33204135,0.29267827,0.2552223,0.2247793,0.20930989,0.2148449,0.23826449,0.26973772,0.29734084,0.3159277,0.32652968,0.3341367,0.34148896,0.34872898,0.35446516,0.35774866,0.3584986,0.358628,0.36250725,0.37679616,0.401432,0.42860663,0.44137916,0.4324284,0.40442058,0.3727323,0.3449597,0.32144037,0.29429445,0.26205537,0.23024976,0.20960958,0.2073534,0.22220844,0.24525838,0.2634814,0.26975492,0.26514813,0.2593657,0.25918677,0.26446828,0.2670896,0.2597746,0.24212138,0.2232362,0.21822147,0.23866384,0.28342804,0.33655718,0.37729326,0.39475965,0.3916217,0.37701884,0.35371387,0.31897408,0.27160767,0.22160761,0.18557157,0.17691576,0.19585468,0.22966106,0.26117063,0.2774829,0.27706167,0.26615104,0.25420526,0.24610339,0.24219227,0.2399118,0.23581105,0.22855134,0.22083068,0.22331657,0.24624656,0.2912761,0.34342554,0.3833612,0.39872706,0.39273298,0.37400973,0.34936628,0.3201022,0.2878312,0.25706044,0.234312,0.2250299,0.23012233,0.2450792,0.26013884,0.2660209,0.2592728,0.24511789,0.23290968,0.2296505,0.23581783,0.2465204,0.25513554,0.25865188,0.25993946,0.2689015,0.29266903,0.32950482,0.36312234,0.37820193,0.36933425,0.34837532,0.33014253,0.32446828,0.33005753,0.34016374,0.3477242,0.35006142,0.3500981,0.3514316,0.35456464,0.35468706,0.34852025,0.33667326,0.32423747,0.31379405,0.30485642,0.29503396,0.28503475,0.27838585,0.28034914,0.29434457,0.32181764,0.3578712,0.39371035,0.41622838,0.41988048,0.4059665,0.38440022,0.36141658,0.33929324,0.31549704,0.28912088,0.2628738,0.24252391,0.23560393,0.24473126,0.26618174,0.28722593,0.2966633,0.28930628,0.27151445,0.25245693,0.23950125,0.23377788,0.23440112,0.2419279,0.25944427,0.29033932,0.3327318,0.3770543,0.40759674,0.41205373,0.39054856,0.3557384,0.32388446,0.30261347,0.29023674,0.2800813,0.26970378,0.26133466,0.26056004,0.2711666,0.29202175,0.31687,0.33606777,0.34396312,0.34075496,0.33397996,0.33048892,0.33386528,0.34137094,0.3491136,0.35482574,0.36138213,0.37421477,0.39708975,0.4261421,0.45043874,0.4575393,0.44289622,0.4116087,0.37464607,0.34046552,0.31267133,0.29081497,0.27435192,0.26346028,0.25947776,0.26222774,0.26968548,0.2762903,0.2771944,0.26986012,0.25741383,0.24488078,0.23714949,0.2357917,0.24011005,0.247985,0.2587846,0.2747731,0.30188903,0.3424295,0.3908638,0.4311497,0.44984806,0.44266447,0.41816583,0.3864107,0.35431883,0.3237054,0.29532513,0.2699005,0.24860881,0.23446561,0.23029013,0.23658551,0.24803285,0.25942793,0.26871547,0.2790834,0.29194212,0.30585694,0.3176036,0.32683825,0.33573663,0.347375,0.36379778,0.3844925,0.4051887,0.41808584,0.4165949,0.3998134,0.3735709,0.3457602,0.3214513,0.30111787,0.2824266,0.26360634,0.24636269,0.23594928,0.23876499,0.25553778,0.27983436,0.29825065,0.30089846,0.28477156,0.2575015,0.22889678,0.20693181,0.19313216,0.18645857,0.18791063,0.20200402,0.23413758,0.28275096,0.33752146,0.38206425,0.40461966,0.40504095,0.3928976,0.37890497,0.36644062,0.35366783,0.33796787,0.32131863,0.308148,0.30289933,0.30581996,0.31295225,0.31750354,0.31526747,0.30682218,0.2974825,0.29152152,0.28994158,0.2896804,0.28823987,0.28459534,0.28166917,0.28390953,0.29774797,0.32390213,0.35723504,0.38482675,0.3985815,0.3961773,0.38362825,0.36527002,0.34422362,0.32137743,0.29875696,0.27905425,0.26512733,0.25968382,0.26216522,0.26860353,0.27210048,0.2696704,0.2631713,0.258021,0.25649965,0.25714728,0.25644326,0.2521174,0.24382602,0.23449863,0.23097984,0.242801,0.2717525,0.30834723,0.33305755,0.33614156,0.32108667,0.30285546,0.28826466,0.27542636,0.25699848,0.23236103,0.20781378,0.19402747,0.19903994,0.22288156,0.2562249,0.28496012,0.30019033,0.30209395,0.2982549,0.29564634,0.29835117,0.3063103,0.31819913,0.3294098,0.33624768,0.33739272,0.33979073,0.35052142,0.37043047,0.38901222,0.39505517,0.3861433,0.3697138,0.3546714,0.34405228,0.33607855,0.32834762,0.32328618,0.32726362,0.34753868,0.38129938,0.41561732,0.43133005,0.42162228,0.39324343,0.3632408,0.34165654,0.33028302,0.32402143,0.31937352,0.31602988,0.31806818,0.33228362,0.36213163,0.40184462,0.4352384,0.44705543,0.4333963,0.40385234,0.37118864,0.3423318,0.31792468,0.29827666,0.28755,0.29237136,0.3172908,0.36035132,0.41039512,0.450276,0.46470964,0.45043787,0.41710392,0.38071585,0.3522321,0.33384892,0.32096753,0.30924514,0.2996086,0.2991457,0.3170236,0.354172,0.3999755,0.43418014,0.44342038,0.42690203,0.3974323,0.36777696,0.34592584,0.3332719,0.32882366,0.33170804,0.34205237,0.36214188,0.39092723,0.42136538,0.439175,0.43483034,0.4105815,0.38075963,0.3585296,0.3475237,0.34242833,0.33776775,0.3340551,0.33737454,0.35429028,0.3855648,0.42178896,0.4462637,0.44416383,0.4153763,0.3747542,0.34297827,0.3294402,0.33118603,0.3393608,0.35264662,0.37258437,0.39771736,0.4174017,0.4234325,0.417379,0.41114435,0.41492823,0.42870596,0.44481942,0.4555875,0.46160808,0.46639812,0.47446,0.4853016,0.500194,0.5175528,0.5336737,0.5372269,0.51817876,0.47446635,0.41650727,0.35917887,0.31190464,0.2751891,0.24554716,0.22182202,0.20582955,0.19894044,0.19942035,0.20343208,0.20740078,0.2095769,0.2094885,0.2073607,0.20370154,0.19934036,0.19486822,0.19024079,0.18507145,0.17937876,0.17396808,0.17002068,0.16855906,0.1699314,0.17365384,0.17840838,0.18271631,0.18580978,0.18821813,0.19148183,0.1968924,0.20432012,0.21178038,0.21766388,0.22291572,0.23178172,0.24706547,0.2684246,0.29265162,0.32046616,0.35275015,0.38778463,0.41684043,0.43377495,0.44001088,0.44339085,0.4509654,0.46429703,0.4813352,0.4969515,0.5030565,0.49244893,0.46101043,0.41469982,0.36315393,0.3184219,0.28575492,0.2661351,0.25597197,0.25185218,0.2513204,0.25350246,0.2581219,0.26359656,0.26708564,0.26523247,0.25792143,0.24836642,0.24230741,0.24231058,0.24687608,0.25036156,0.24917817,0.2435109,0.23813695,0.23777987,0.24428798,0.25527826,0.26507512,0.26838896,0.26230302,0.24929251,0.2343117,0.22393717,0.2212149,0.22603829,0.23311432,0.23734726,0.23559493,0.2303767,0.22683084,0.23146255,0.24922816,0.28114638,0.32333186,0.36595654,0.40008104,0.41879866,0.42341325,0.41748217,0.4092215,0.40447545,0.408738,0.4192089,0.42882264,0.42718637,0.41290167,0.39158097,0.37318218,0.36007252,0.3483872,0.3316528,0.30786666,0.27878532,0.24743837,0.21729827,0.19342773,0.18176687,0.18462299,0.1975506,0.21224803,0.22210874,0.22599846,0.22572388,0.22363544,0.2207243,0.21836941,0.21725814,0.21676002,0.21209206,0.19854252,0.17442966,0.14645328,0.12313259,0.111313365,0.11034959,0.11921954,0.1365491,0.16292548,0.19273818,0.21846913,0.23262696,0.23697154,0.23733203,0.23975426,0.24329734,0.24445964,0.2420822,0.2413274,0.2506387,0.27390108,0.308686,0.3449141,0.3763899,0.3999184,0.4201366,0.43771693,0.4509705,0.4533398,0.4413803,0.41718623,0.3878932,0.362766,0.3475827,0.34406123,0.34861234,0.35563865,0.36008108,0.36035076,0.35875654,0.35838318,0.36109436,0.36564887,0.36992273,0.37185565,0.3717227,0.37247297,0.37735692,0.3871856,0.39855787,0.40835336,0.41646722,0.4255567,0.4366263,0.44590518,0.4466231,0.43298316,0.40515968,0.37009004,0.33737937,0.31345436,0.29803035,0.2870306,0.27667952,0.26623538,0.25666037,0.24893473,0.24331088,0.239322,0.2343213,0.22411563,0.2068131,0.19046797,0.19122885,0.22275679,0.28178212,0.34883142,0.40269205,0.43411914,0.44861904,0.45279106,0.4487182,0.43042994,0.39632067,0.35059157,0.30502987,0.2695907,0.24917226,0.24193335,0.2423115,0.2444436,0.24423184,0.240665,0.23429076,0.22643323,0.21803825,0.2103468,0.20443358,0.2015202,0.20297728,0.21064456,0.22498949,0.24293697,0.25739276,0.26146623,0.25307873,0.23663728,0.21893628,0.20492111,0.19616522,0.19271106,0.19448781,0.20113957,0.21207501,0.22832714,0.25338492,0.29201725,0.34294283,0.3975828,0.44063523,0.462213,0.4607214,0.44527796,0.4259518,0.40988502,0.39669967,0.3828503,0.36536375,0.3452346,0.32461968,0.30451155,0.28635237,0.2772369,0.28797737,0.32334614,0.37229434,0.413903,0.4319967,0.42639723,0.4079876,0.38823676,0.37289703,0.36334828,0.3593833,0.36015484,0.36413696,0.36967525,0.37395105,0.3734412,0.36443746,0.34784615,0.32954893,0.31866917,0.3208462,0.33510783,0.35434785,0.3700099,0.3784232,0.3829348,0.39201275,0.40976334,0.43146184,0.44376597,0.43706945,0.41157976,0.37958756,0.35422966,0.34395492,0.34724817,0.35767862,0.36752555,0.37349042,0.3767875,0.37919736,0.37982538,0.3745542,0.3622416,0.34556746,0.3306811,0.32126114,0.31862688,0.32151276,0.32812408,0.33539596,0.34164223,0.34787774,0.3592402,0.37666154,0.3951181,0.40195522,0.39177927,0.36788002,0.34353825,0.32711574,0.3199048,0.31574318,0.30905482,0.29897153,0.28905082,0.28609785,0.2923875,0.30562392,0.3162161,0.31829712,0.3102928,0.29895088,0.28936133,0.2846706,0.28330684,0.28449127,0.28833708,0.2974082,0.31514868,0.34441242,0.3819315,0.4176422,0.43752304,0.43671718,0.42182282,0.40937093,0.41003355,0.42357853,0.43743896,0.43873307,0.4232805,0.39870128,0.3782163,0.36919394,0.37044564,0.37295803,0.37065208,0.36175898,0.35053447,0.33963236,0.32961679,0.31879294,0.30753466,0.300069,0.30264303,0.32124385,0.35549784,0.39854968,0.43666697,0.4581841,0.45793605,0.44070622,0.41573718,0.39205673,0.37476805,0.36491743,0.36067536,0.35915634,0.35846373,0.35814252,0.35810205,0.35746765,0.3550603,0.3513498,0.3483038,0.34782264,0.3491998,0.3501434,0.3484727,0.34460863,0.34223652,0.34801733,0.36866188,0.40341577,0.44020846,0.4588124,0.44677535,0.40856922,0.3638053,0.33050668,0.315384,0.31363368,0.31800625,0.323637,0.32886416,0.33388963,0.3391664,0.3455046,0.3516424,0.35654983,0.35783336,0.3546685,0.3457564,0.3322296,0.31667396,0.30347443,0.29624516,0.29875633,0.3143189,0.34569153,0.38729432,0.4267753,0.44713274,0.44324216,0.42116866,0.39685604,0.37939116,0.37069798,0.36540666,0.3602276,0.3547211,0.3515607,0.35301816,0.35755697,0.36035943,0.3552414,0.3421534,0.32585013,0.31407502,0.3094058,0.310321,0.31253502,0.31361508,0.3139446,0.31745493,0.33057657,0.3575603,0.39422205,0.4268566,0.4397098,0.42874172,0.40498936,0.3891387,0.3933523,0.41534376,0.4378012,0.4455963,0.43317926,0.40983796,0.38812208,0.37614545,0.37234035,0.36964044,0.3639938,0.3565348,0.35347795,0.3564335,0.36200288,0.36298442,0.35717693,0.34983206,0.34915128,0.36139932,0.3835883,0.40827632,0.4232861,0.42254767,0.40549934,0.38064197,0.356426,0.33906448,0.32903934,0.325014,0.32445553,0.32566428,0.32789916,0.33142993,0.33568975,0.33739603,0.33282676,0.32108185,0.30672458,0.29652086,0.29528546,0.30294392,0.3156413,0.32838097,0.3385019,0.34722015,0.35973,0.3788247,0.40113512,0.4156002,0.41340384,0.39387754,0.3664366,0.3426325,0.3304435,0.33145472,0.3418306,0.35512173,0.36525115,0.37030372,0.3710916,0.37018344,0.36797443,0.36554584,0.36303174,0.36140025,0.3589801,0.3538935,0.34466064,0.3331747,0.32384527,0.323161,0.33580136,0.3626949,0.39540994,0.4206362,0.42432025,0.40546432,0.37394774,0.3460345,0.3302475,0.32638153,0.32850894,0.3313274,0.33321726,0.33515647,0.34046912,0.34880278,0.35658944,0.3565226,0.34722123,0.3324517,0.3205372,0.31539276,0.3165464,0.3206364,0.32475576,0.3291389,0.33636323,0.3523556,0.37968466,0.41321743,0.43914798,0.44462892,0.42992985,0.40842035,0.39813328,0.40536752,0.42277715,0.43411696,0.42947802,0.4105506,0.3878298,0.37048295,0.3604225,0.35503903,0.3507645,0.34771824,0.34697986,0.3505106,0.3567917,0.3630835,0.3650364,0.36026403,0.34823468,0.33339354,0.32555822,0.33523127,0.36477742,0.40302277,0.43318486,0.44347778,0.43357423,0.41000247,0.38201532,0.3583831,0.3460451,0.34661344,0.35628232,0.36886778,0.3789505,0.38350058,0.38069782,0.37256166,0.3625547,0.35497233,0.34979168,0.34520426,0.33966875,0.33482265,0.3336382,0.33845198,0.35049498,0.37079445,0.39619747,0.41942692,0.42844367,0.4194604,0.39655522,0.37282336,0.3556912,0.34723583,0.34299484,0.34035683,0.33871463,0.33972892,0.3445327,0.35224423,0.361354,0.3704386,0.38097978,0.3933121,0.40614054,0.41419324,0.4133817,0.40254226,0.3851284,0.3676745,0.35645723,0.35512915,0.36158845,0.3704102,0.3754418,0.37392223,0.36750695,0.36013758,0.35435656,0.34765455,0.3344971,0.31055906,0.27680153,0.23816608,0.20076247,0.17030817,0.15191372,0.14883219,0.15911952,0.17627911,0.19238597,0.20320505,0.20825195,0.20917869,0.20745666,0.20406646,0.19988102,0.19567768,0.19224982,0.1902026,0.19013257,0.19244629,0.19702709,0.20309742,0.20952888,0.2156396,0.22138487,0.22676384,0.231194,0.2334348,0.232962,0.23018886,0.22641294,0.22215915,0.21773382,0.21372783,0.21183252,0.21324755,0.2173736,0.22196591,0.22632422,0.23378313,0.2514571,0.28365538,0.32737032,0.37091216,0.40244922,0.41509116,0.41032875,0.39305472,0.3694501,0.34407058,0.31964734,0.29646125,0.2731691,0.24896385,0.2239614,0.19975094,0.17887354,0.16544509,0.16298585,0.17112076,0.18434696,0.19534005,0.20005615,0.19907789,0.19535796,0.19135945,0.18843968,0.18754464,0.18902524,0.1923641,0.1958133,0.1979246,0.19838609,0.1984251,0.1994843,0.20208476,0.20581536,0.20989035,0.2140596,0.21812922,0.22168046,0.22374769,0.22366627,0.22136551,0.21761894,0.21306132,0.20852011,0.20427316,0.20078649,0.19772275,0.19499218,0.19246866,0.19064684,0.18961878,0.1900088,0.19421218,0.2079261,0.23679979,0.28107703,0.33225557,0.37694633,0.4050478,0.4134358,0.40487137,0.38207737,0.34798017,0.30575034,0.26134273,0.21962483,0.18408932,0.15712106,0.14250362,0.14320816,0.15659297,0.17493759,0.18949886,0.19730262,0.19977869,0.20032756,0.20060432,0.20124976,0.20249616,0.20444997,0.20671763,0.20803635,0.20741527,0.20478731,0.20169275,0.19992338,0.20066158,0.20366345,0.20817618,0.2131412,0.21772842,0.22052567,0.22057123,0.21726197,0.21176511,0.20563763,0.20109014,0.19934918,0.20212062,0.21136522,0.23079383,0.26168546,0.30063304,0.338168,0.36623418,0.38530394,0.40212032,0.4236404,0.44465593,0.45733073,0.4524924,0.43500546,0.4119822,0.39464054,0.38532683,0.38415253,0.3867861,0.39109042,0.39532247,0.39928737,0.40245685,0.40435576,0.40451574,0.4029449,0.40054825,0.3985404,0.3981175,0.39885643,0.39942804,0.39804325,0.39454153,0.3903356,0.38800898,0.38961574,0.39528558,0.40236685,0.4068061,0.40588453,0.40131864,0.3978113,0.39999628,0.40727636,0.41516438,0.41793635,0.41487482,0.4097793,0.4085877,0.41377994,0.42231047,0.4277773,0.42439175,0.41265342,0.39827573,0.38903102,0.3883486,0.3941424,0.40201214,0.40819454,0.41249797,0.41469535,0.4144067,0.40773392,0.39119092,0.36269724,0.32533172,0.28431135,0.24507858,0.21025665,0.18198676,0.16259772,0.1550807,0.1590922,0.17021656,0.18009676,0.18156116,0.17129101,0.15183683,0.1286492,0.10729819,0.09064735,0.07976692,0.07557427,0.08080095,0.097703435,0.12538399,0.15747088,0.18614823,0.20604791,0.21682227,0.21990371,0.21641706,0.20669055,0.19216572,0.17507768,0.15723634,0.13981417,0.12522171,0.11776491,0.12085703,0.13323025,0.14892195,0.16125423,0.16698165,0.16658162,0.16206102,0.15527542,0.14800979,0.14321063,0.14350757,0.14862293,0.15346313,0.15226342,0.14486057,0.13771608,0.13846166,0.14798136,0.1615387,0.1731367,0.18179524,0.1895513,0.19857942,0.20734672,0.21210112,0.2093664,0.19921605,0.18558528,0.17537248,0.17421718,0.18351285,0.19785856,0.2088372,0.20869778,0.19535005,0.17200373,0.1463751,0.12577145,0.11378089,0.10758727,0.10147974,0.09161847,0.08003548,0.07327369,0.07726634,0.09322718,0.11711633,0.14442481,0.17337042,0.20327385,0.23115973,0.25042924,0.25694704,0.25074255,0.23619206,0.2162618,0.19262594,0.16646393,0.1405827,0.118193656,0.10104397,0.08874411,0.079647,0.07239377,0.06642038,0.06163047,0.057779446,0.054635335,0.05287494,0.05535258,0.06683362,0.091375194,0.12825729,0.17036055,0.2077262,0.23381676,0.24973857,0.26147175,0.27447698,0.28905442,0.3022687,0.31067452,0.31310102,0.3090389,0.299206,0.2851281,0.27069283,0.2586785,0.25000137,0.24230136,0.23410125,0.22522958,0.21759361,0.21229123,0.20959729,0.20836933,0.20731449,0.2045057,0.19862111,0.18875824,0.17629407,0.16339572,0.15319468,0.1474903,0.14832278,0.15648226,0.17130153,0.18760842,0.1983639,0.19796264,0.18705249,0.1709218,0.15620387,0.14647715,0.1417196,0.1388733,0.1343419,0.12574153,0.11438102,0.10458201,0.10182413,0.108161725,0.12089423,0.13333432,0.13950478,0.13684393,0.12729073,0.11451164,0.10173599,0.090507865,0.0821378,0.0797402,0.0878148,0.11021493,0.14521982,0.18584259,0.22130726,0.24441178,0.25327268,0.25245896,0.24733655,0.24172299,0.23531647,0.2262872,0.21310157,0.1967737,0.18021826,0.16623954,0.1559029,0.14790547,0.14073186,0.1333459,0.12603569,0.11891081,0.1121853,0.105874024,0.10033267,0.09555923,0.09134549,0.08745288,0.08432666,0.08259764,0.08233442,0.08230907,0.08076137,0.07666931,0.0705582,0.06405443,0.058615398,0.05499722,0.05329709,0.053838953,0.05683291,0.06218182,0.06874346,0.075705945,0.08244058,0.088879436,0.09354312,0.094807535,0.0914399,0.084652126,0.07698541,0.07128196,0.06875815,0.06851944,0.06816497,0.066165544,0.06401121,0.06718626,0.08145499,0.10877472,0.14341243,0.17572887,0.19729888,0.20633422,0.20628107,0.20175111,0.1950555,0.18558764,0.1729679,0.15834422,0.14530726,0.13730794,0.13596207,0.14001893,0.14594495,0.15015282,0.14998166,0.14498788,0.13608259,0.12523839,0.114306174,0.10436662,0.095600784,0.08783603,0.08148696,0.07772353,0.07752206,0.08057639,0.08458873,0.08656042,0.084173344,0.07725733,0.06749842,0.05746046,0.04952699,0.045316145,0.045988422,0.051485226,0.06061248,0.071380846,0.08355125,0.098777026,0.11875764,0.14190646,0.16368018,0.179527,0.18779445,0.1896225,0.18700647,0.18146962,0.1738408,0.16542433,0.1590951,0.15998231,0.17311424,0.19890499,0.23061377,0.25681674,0.26920688,0.2664596,0.25423026,0.2391458,0.22638588,0.21776974,0.21325056,0.21087246,0.20818894,0.20324044,0.19590588,0.1878585,0.18137999,0.17785875,0.17685552,0.17672233,0.17554773,0.172419,0.1675439,0.16212338,0.15756826,0.15509824,0.15555972,0.15933643,0.16615182,0.17473753,0.183289,0.19045073,0.19624959,0.20209187,0.20987105,0.22033274,0.23145907,0.2381512,0.23541869,0.22268529,0.2054464,0.1910401,0.1831445,0.18022262,0.17885096,0.17739807,0.1762352,0.1759658,0.17631637,0.17672102,0.17705904,0.17733926,0.1772228,0.17607786,0.17454319,0.17542589,0.18372895,0.2027814,0.23139732,0.26174465,0.2846843,0.29424754,0.2919123,0.2828368,0.27231655,0.2623023,0.25282568,0.24343361,0.234432,0.22622459,0.21920918,0.2132997,0.20836334,0.2036152,0.19841139,0.19236673,0.186323,0.1816969,0.17962189,0.17975332,0.18024011,0.17914462,0.17572846,0.17079614,0.16547115,0.1606093,0.15710753,0.15644261,0.16003801,0.16774516,0.17733909,0.18545218,0.18971424,0.19018762,0.18936233,0.19050495,0.1954322,0.2035845,0.21281284,0.22118872,0.22800815,0.23343973,0.23787934,0.24132824,0.24334396,0.24279165,0.2383622,0.22983766,0.21908557,0.2097388,0.20511444,0.20738696,0.2175399,0.23624127,0.26192895,0.29011795,0.31367347,0.32732004,0.32909238,0.3207786,0.30481955,0.28434846,0.26245034,0.24265273,0.22731043,0.2175641,0.21297657,0.21247499,0.2142389,0.21642824,0.2164161,0.21156192,0.19962186,0.18162954,0.16118743,0.1430586,0.12895514,0.11829248,0.109237105,0.10183221,0.09684775,0.09525455,0.09627351,0.09823995,0.099220105,0.09862909,0.09747397,0.09807402,0.10293258,0.11298356,0.12654799,0.1399117,0.14972384,0.15581514,0.16167353,0.17440213,0.1991827,0.23566306,0.2729626,0.2974654,0.29987207,0.28392622,0.2607164,0.24217898,0.23256463,0.22863893,0.22191453,0.2066247,0.18511474,0.17014141,0.17444484,0.20061046,0.23561895,0.26253211,0.27163854,0.26628563,0.25486645,0.24359089,0.23327035,0.22275709,0.21190691,0.20196813,0.19344468,0.18430878,0.17021929,0.14768197,0.117046334,0.083809845,0.055260237,0.037271786,0.032201994,0.04033946,0.059821527,0.0863899,0.11325791,0.13441052,0.1472559,0.15334067,0.1552183,0.15418302,0.14911194,0.13843618,0.12187853,0.10229489,0.08528619,0.076976575,0.08048854,0.09322345,0.10854446,0.11943996,0.12279111,0.118973106,0.11028078,0.09859309,0.08586996,0.074441664,0.06688243,0.06405886,0.064817905,0.06672015,0.06857387,0.0700311,0.07230092,0.077463865,0.089728676,0.11216611,0.14356907,0.1764669,0.20109141,0.21139191,0.20851362,0.19874112,0.18810648,0.17859781,0.16877602,0.15689515,0.14325811,0.1298634,0.118768215,0.11085751,0.10573435,0.10232798,0.09953756,0.09664632,0.09344367,0.090042345,0.086601704,0.08311569,0.07946752,0.07562765,0.07174193,0.06807945,0.06481564,0.061948672,0.059386153,0.057691325,0.05857475,0.06471089,0.0778249,0.097895175,0.12370426,0.15431209,0.18776585,0.21919602,0.24113484,0.24778782,0.23765038,0.21550608,0.1898852,0.17352684,0.17420995,0.19156604,0.21172144,0.22108668,0.21287417,0.1933815,0.17082094,0.1504001,0.13302657,0.12146763,0.12236482,0.14120789,0.17750053,0.22210245,0.26305103,0.28990868,0.29842833,0.28956047,0.2689176,0.24440481,0.2231182,0.20859648,0.1990965,0.19178699,0.18485294,0.17993529,0.17855544,0.18216597,0.19130795,0.2074963,0.23134398,0.26108995,0.2907364,0.31258345,0.3205415,0.3139225,0.29748324,0.28061286,0.27350584,0.28244033,0.30479518,0.3304895,0.3484893,0.35394272,0.35006455,0.34409836,0.34308994,0.34817967,0.35562646,0.35829332,0.35329184,0.34108567,0.322772,0.29619995,0.26165175,0.23048556,0.22039096,0.24199374,0.28261402,0.31531432,0.3161759,0.28313735,0.2328483,0.18565921,0.15294094,0.1339048,0.12754852,0.13516463,0.16079222,0.19977917,0.24151067,0.27362984,0.29191422,0.29866752,0.2992804,0.29697987,0.29269877,0.28601146,0.2764498,0.26366735,0.2473393,0.22690491,0.2024139,0.17503977,0.14803644,0.1248086,0.1076896,0.09619141,0.088531174,0.08255347,0.07703937,0.07139573,0.065635346,0.060119256,0.05543308,0.052129388,0.050585162,0.05092971,0.053008694,0.05615643,0.059214443,0.061233874,0.06329743,0.07003619,0.08822144,0.121647835,0.16552354,0.20622869,0.2285493,0.22663505,0.21034293,0.19972588,0.21025525,0.23943634,0.26989904,0.28411558,0.27862322,0.2613525,0.24151021,0.22167183,0.20044415,0.17778635,0.1577431,0.1479966,0.15624093,0.18715985,0.23630989,0.29042232,0.32991412,0.34156576,0.32455203,0.29177904,0.25858834,0.23437512,0.21953733,0.20970917,0.2006702,0.18986869,0.17749296,0.16584526,0.15894021,0.15811004,0.15965837,0.15592091,0.14323367,0.12694004,0.119241245,0.12922002,0.15549533,0.18740337,0.21256737,0.22437656,0.22340243,0.21555835,0.20729037,0.20276754,0.2010222,0.19796622,0.18988775,0.17829503,0.17011224,0.1730808,0.19004194,0.21496671,0.23652045,0.24345039,0.23279686,0.21091163,0.19044872,0.18044394,0.18113099,0.18453644,0.18368642,0.17750739,0.1710372,0.1672781,0.16530424,0.16026266,0.15107727,0.14167583,0.14070271,0.15517108,0.1854529,0.22396408,0.25765538,0.27654102,0.2782061,0.26903358,0.25751022,0.24866855,0.2426057,0.23697953,0.2311273,0.22592139,0.22304517,0.22221494,0.22195671,0.22030576,0.21696125,0.21321093,0.21156459,0.2140051,0.22096197,0.23069553,0.23976302,0.2438196,0.23894173,0.22420968,0.20305432,0.18292396,0.16996501,0.16569401,0.16556376,0.16396374,0.1582505,0.15022087,0.14330378,0.138094,0.1323813,0.12317982,0.11150831,0.10105271,0.09496676,0.09199616,0.08905832,0.08559963,0.08490529,0.0901153,0.09994522,0.10961068,0.11481892,0.114775576,0.11116973,0.105582766,0.09793713,0.08720214,0.07540861,0.07023787,0.08458292,0.12556827,0.1872034,0.24787533,0.28670785,0.29438046,0.27953997,0.25715876,0.24060114,0.23478627,0.23791902,0.24351914,0.24506752,0.23934539,0.22784758,0.21429081,0.202047,0.19247706,0.18590164,0.18212803,0.18096404,0.18154903,0.18239544,0.18148673,0.1776091,0.17091785,0.16432571,0.16283761,0.17335136,0.1993839,0.23813589,0.27800068,0.30624363,0.3147631,0.30484682,0.28270248,0.2563028,0.2317579,0.21290815,0.19968997,0.18945391,0.1782613,0.16415536,0.1469583,0.12875351,0.111668654,0.097516395,0.08637691,0.07739099,0.069339514,0.063165314,0.06443229,0.08562526,0.14065939,0.23571192,0.35790452,0.4789859,0.5654816,0.5969412,0.5716024,0.5072203,0.4291744,0.36044046,0.31262687,0.28617695,0.2746973,0.26974848,0.26484588,0.25710145,0.24837035,0.24258421,0.24238151,0.24676184,0.25229657,0.2560488,0.25701845,0.25565982,0.252441,0.24801306,0.24398313,0.24332426,0.24796844,0.25668773,0.26443914,0.26614717,0.25985637,0.24795198,0.234749,0.22411466,0.21828239,0.2173893,0.21912436,0.21858583,0.20957698,0.18880528,0.15982519,0.13481887,0.1276915,0.14497405,0.17924024,0.21485579,0.23869245,0.2478775,0.24759357,0.24503528,0.24634403,0.25890508,0.2902169,0.3453723,0.4172757,0.48960122,0.53754616,0.5457008,0.5106648,0.45003784,0.38764307,0.34744594,0.33679393,0.3480978,0.36068046,0.3568608,0.33239985,0.30134583,0.28743997,0.30560818,0.3503045,0.39420316,0.41046527,0.39117548,0.35512376,0.33080554,0.33386317,0.35759845,0.37857392,0.37977383,0.36139607,0.3431807,0.3443118,0.3683051,0.39808807,0.40994385,0.39448476,0.36318156,0.3419877,0.346921,0.37381208,0.39702168,0.3922039,0.35328683,0.30065414,0.26819515,0.27773046,0.32483667,0.37665963,0.40275156,0.39305305,0.369247,0.3582246,0.37237105,0.3985281,0.4129671,0.40221205,0.37223515,0.34511045,0.33984086,0.3607688,0.39315847,0.41682813,0.4207466,0.4081241,0.38885608,0.36743805,0.3429592,0.3131629,0.28065005,0.25001916,0.22566877,0.20953993,0.20188181,0.20121436,0.2048419,0.20981114,0.2136889,0.21424435,0.20981126,0.20068526,0.19084202,0.18641059,0.19181973,0.20619138,0.22364508,0.23721637,0.24311002,0.24196418,0.23710857,0.23178166,0.22777446,0.2249341,0.22107805,0.21243048,0.19482844,0.16738898,0.13507363,0.10967197,0.10386366,0.12344241,0.16135238,0.20151226,0.22999756,0.24413095,0.25408283,0.2709259,0.29956383,0.33282223,0.36379662,0.38892767,0.4132305,0.44010594,0.46847263,0.49194852,0.5028251,0.49888134,0.48189482,0.45821115,0.4300201,0.39668083,0.35602257,0.31116936,0.26946583,0.2381481,0.22057414,0.21551836,0.21969028,0.22754842,0.23383363,0.23408483,0.22773819,0.21699172,0.20633316,0.20005257,0.2010179,0.20975228,0.22403608,0.2397023,0.25174117,0.2569858,0.25516024,0.24888086,0.24111982,0.23383486,0.22740422,0.22118022,0.21374084,0.20225047,0.18370038,0.15759279,0.12976947,0.11239008,0.11647313,0.14416881,0.18421996,0.22262497,0.2522101,0.28007233,0.31668365,0.36507878,0.41548726,0.45464155,0.47955975,0.49714684,0.5181393,0.54190594,0.5618029,0.567852,0.5591045,0.53896874,0.513264,0.48230723,0.44235387,0.39050233,0.33207595,0.28141886,0.25408724,0.25620338,0.28044048,0.31207573,0.3392738,0.35817513,0.3697022,0.37374958,0.36763188,0.3499607,0.32362163,0.29530662,0.27145505,0.2575774,0.25604805,0.2667021,0.283914,0.3020574,0.31744358,0.33177695,0.34557268,0.35657874,0.3587552,0.34813973,0.3241578,0.29085788,0.25500318,0.22740252,0.22140604,0.24827397,0.30821583,0.38620362,0.45906785,0.50837386,0.52970356,0.5293924,0.5169907,0.4984375,0.47542298,0.44788444,0.4194256,0.39992568,0.40186772,0.4286598,0.46961507,0.50486046,0.52182513,0.5200215,0.5070642,0.48603877,0.455983,0.417125,0.3776581,0.34860194,0.33591107,0.3346211,0.3326588,0.31778264,0.28517014,0.23961698,0.19434416,0.1644327,0.1587926,0.17606638,0.2063945,0.24337292,0.2864072,0.34324262,0.41191116,0.48208117,0.52844304,0.53441185,0.49339044,0.42330632,0.34975585,0.30331185,0.2974477,0.3267958,0.363831,0.38052782,0.36404786,0.32530144,0.28753367,0.26925346,0.27552447,0.2957519,0.31652275,0.3275044,0.32928333,0.32372615,0.31220263,0.29167596,0.26175734,0.22689803,0.19829117,0.19251497,0.22174616,0.2858167,0.36452833,0.4324151,0.4711459,0.4807162,0.46883824,0.44365367,0.40981662,0.3739896,0.3454229,0.33149728,0.3325434,0.34163967,0.34954572,0.3493515,0.3388326,0.3200195,0.2970539,0.2734761,0.24984765,0.22595777,0.20287757,0.18352015,0.16841447,0.15590113,0.14671524,0.14718623,0.16398281,0.19410165,0.22352709,0.23557775,0.2240665,0.19737446,0.17328049,0.16627939,0.17946447,0.20457608,0.2304072,0.24996348,0.26196936,0.26794073,0.26896724,0.2652145,0.2572114,0.24920683,0.25137973,0.27384672,0.31843552,0.37241817,0.42167953,0.46169505,0.49986568,0.5401447,0.57352495,0.5883959,0.5808277,0.56243926,0.5435366,0.52895427,0.51136655,0.48432267,0.44531274,0.4014984,0.36288348,0.3383405,0.3305587,0.3362733,0.34727582,0.35189557,0.34044072,0.30980065,0.26842412,0.23033226,0.20752595,0.20229013,0.21047217,0.22743583,0.25060022,0.2766631,0.29906723,0.3122749,0.31502247,0.31011185,0.2992405,0.28263003,0.2621536,0.2423081,0.22688651,0.21484196,0.2056377,0.20435834,0.22222841,0.26575902,0.32855546,0.39387873,0.44458055,0.47398356,0.48448715,0.4846863,0.4811369,0.4791158,0.48031986,0.4866104,0.4988335,0.51903296,0.54839474,0.5832743,0.6139187,0.6255703,0.6113468,0.57396865,0.52635247,0.4769834,0.4291378,0.38056695,0.33229914,0.2888627,0.2575383,0.24500997,0.25341424,0.27819598,0.30745557,0.32946613,0.338963,0.34001657,0.33980808,0.3425412,0.348627,0.35797438,0.3730831,0.39700317,0.4308989,0.47239542,0.51352555,0.5426701,0.54724145,0.525777,0.48880813,0.4550468,0.43539354,0.42925438,0.42780343,0.4240346,0.41676402,0.40866694,0.40460756,0.4073858,0.41835633,0.4326301,0.44514158,0.45177123,0.45566216,0.46035552,0.4679922,0.47755173,0.48926902,0.5048342,0.52487916,0.54803675,0.57118535,0.5890526,0.5941145,0.57934326,0.5462114,0.50479853,0.4695281,0.4486949,0.44282463,0.4459103,0.4502695,0.44957706,0.4404068,0.4237257,0.40084103,0.37298465,0.3384317,0.29966173,0.26294687,0.2406596,0.24179244,0.2679261,0.30708,0.34012315,0.35175434,0.3446946,0.3399309,0.36150333,0.41497585,0.48059058,0.5274361,0.53717214,0.5144301,0.47871956,0.44613925,0.41995487,0.39231646,0.3549526,0.30817732,0.2640222,0.23987885,0.24605243,0.27810112,0.3199145,0.3580328,0.39021304,0.4237071,0.4635556,0.5066537,0.54449916,0.57033753,0.58394486,0.5907526,0.59902054,0.61290735,0.62768656,0.6314325,0.6157113,0.58513975,0.55293494,0.52877134,0.5096904,0.48715523,0.45688534,0.4237177,0.39587924,0.379547,0.37588036,0.38184634,0.39049867,0.395223,0.39352658,0.3894479,0.3877777,0.38786826,0.3820499,0.36229837,0.3276856,0.28869057,0.26360324,0.27330676,0.32470298,0.40487313,0.47970533,0.52237177,0.52644414,0.5098258,0.4886204,0.4673741,0.43994915,0.4044737,0.36610118,0.33416545,0.3164086,0.3167778,0.3325938,0.35278788,0.3627119,0.3528913,0.3266302,0.29820213,0.2830555,0.2885151,0.30836582,0.3308197,0.34766865,0.36279836,0.38583365,0.4211699,0.4622778,0.4963654,0.5171066,0.524667,0.52304906,0.50961727,0.48096237,0.4364078,0.38563797,0.3422854,0.31826827,0.3177769,0.3363304,0.36469102,0.39051196,0.4066538,0.41055366,0.40715802,0.40083912,0.3955239,0.39180788,0.39056668,0.3932942,0.4037266,0.42680588,0.46410885,0.5086828,0.5455573,0.5610338,0.5541827,0.5356097,0.5184755,0.5054189,0.4917074,0.4710981,0.44598308,0.42460653,0.4165877,0.4240876,0.44005242,0.45199084,0.45065668,0.436231,0.41708633,0.4042907,0.40502998,0.41930178,0.4403673,0.4586537,0.46848872,0.4714545,0.47644946,0.4917216,0.5175688,0.54217416,0.55152655,0.5401817,0.51688385,0.4947283,0.48271713,0.48237148,0.4917786,0.50735754,0.52465224,0.54017216,0.55223346,0.55929595,0.55754805,0.54346764,0.5189006,0.49152502,0.47001633,0.45892653,0.45836234,0.46619967,0.47869703,0.4932742,0.50904745,0.52887493,0.5511346,0.5694491,0.5722716,0.5572596,0.53041416,0.50413126,0.48338684,0.46759546,0.45359015,0.44172856,0.43430814,0.4338367,0.44332698,0.46325317,0.48866233,0.5069472,0.50729823,0.48827982,0.46073833,0.43787345,0.42811587,0.43118575,0.44189048,0.453455,0.46315435,0.47380552,0.49104115,0.5128824,0.5275566,0.5187296,0.48293915,0.4320216,0.38879037,0.368469,0.37383077,0.3943986,0.4175452,0.43509516,0.44751358,0.46107674,0.47977352,0.5007579,0.5132097,0.5088088,0.48678318,0.4568975,0.4311097,0.4178578,0.41772583,0.42486206,0.43305865,0.44062486,0.45327476,0.4759688,0.50625414,0.5308254,0.5359127,0.5174751,0.48518527,0.45449778,0.43563676,0.4301919,0.43419722,0.44553748,0.46264878,0.48219895,0.49588886,0.4980421,0.49022552,0.48232058,0.4818542,0.488584,0.49456835,0.49458733,0.4908336,0.49163154,0.50328016,0.52507216,0.550901,0.57274675,0.58572865,0.58604336,0.5717141,0.5408519,0.49569592,0.4426148,0.39110735,0.35008237,0.32447204,0.31441036,0.3149667,0.31994164,0.32446316,0.3272643,0.32883748,0.3297645,0.3294203,0.3263037,0.31892034,0.3081526,0.2987362,0.2977856,0.30909172,0.32926396,0.34957525,0.36244807,0.36607885,0.36363384,0.3595953,0.3563548,0.35398722,0.35110053,0.34717342,0.3425784,0.33874765,0.3362147,0.33494708,0.3339541,0.33265957,0.33094525,0.32999656,0.33293965,0.34522223,0.3728279,0.4168153,0.46938238,0.5146809,0.5388729,0.53872323,0.52560097,0.5163786,0.52367353,0.5457387,0.5694495,0.5770032,0.5592726,0.5191539,0.46969163,0.4232001,0.386238,0.35941195,0.34372827,0.34375897,0.36527666,0.40848783,0.46366778,0.5142154,0.54452306,0.5470365,0.5239509,0.48448846,0.4406289,0.40216085,0.3741007,0.35683873,0.35027218,0.35775748,0.38387537,0.42915544,0.48227453,0.5255564,0.54379797,0.53777254,0.52089745,0.5088274,0.50642544,0.5082114,0.5073581,0.5019678,0.49377623,0.48261043,0.46763968,0.45084956,0.43981037,0.44099912,0.4549948,0.47443724,0.49146912,0.50181293,0.5062203,0.50744957,0.50841016,0.5104697,0.5108707,0.50401765,0.48699614,0.46724012,0.45877704,0.4703203,0.49406353,0.5128503,0.5148503,0.50287473,0.48672318,0.47332826,0.4631627,0.4550852,0.44902155,0.4455755,0.4434435,0.43933895,0.42971233,0.41288936,0.39130935,0.37079832,0.3593738,0.36232802,0.37911013,0.40187046,0.4201697,0.4275731,0.42671886,0.42692742,0.43802467,0.4599264,0.48255953,0.48934793,0.47343776,0.44089878,0.40952775,0.39273107,0.39319265,0.4024593,0.41076013,0.41338778,0.41184077,0.4092495,0.40691707,0.40367174,0.39836565,0.3908699,0.3818431,0.3726572,0.36620083,0.36770427,0.38082278,0.40446413,0.43158817,0.45636535,0.47761783,0.49874607,0.51816463,0.5288799,0.52179974,0.49790195,0.46619913,0.43894637,0.42015758,0.4071196,0.39415857,0.37929013,0.36522207,0.35591766,0.35426626,0.3578606,0.36242294,0.36187318,0.35483006,0.34249493,0.3299272,0.31994402,0.31401345,0.31094798,0.3103469,0.3136717,0.32508278,0.35026753,0.38922313,0.43317363,0.46581277,0.4763557,0.46805838,0.45610896,0.4576403,0.47693577,0.5056676,0.5245181,0.52229315,0.49905422,0.46871924,0.44217917,0.4247427,0.4138786,0.4082193,0.40624413,0.40733883,0.4083182,0.4058317,0.39682043,0.38216308,0.36796167,0.3649672,0.38268816,0.42297217,0.4750702,0.5208764,0.54289514,0.53678805,0.510003,0.4775199,0.44952717,0.43116513,0.42248508,0.4234784,0.4322537,0.44477972,0.4546312,0.4549618,0.44266286,0.4190755,0.392392,0.37116238,0.36233047,0.36523423,0.3762281,0.38997027,0.40399635,0.4179795,0.43404648,0.45498645,0.48188862,0.51026064,0.53100103,0.53387326,0.5172774,0.48776674,0.4581199,0.4359142,0.4237769,0.41821516,0.41623446,0.41467598,0.41381964,0.41556713,0.4228102,0.4350656,0.44803122,0.45664743,0.4578053,0.4516623,0.43863556,0.4201798,0.39865604,0.37951472,0.37026182,0.37929824,0.4113635,0.46190152,0.515333,0.55168253,0.55890566,0.5397585,0.50784296,0.4772373,0.4551127,0.441444,0.43250594,0.42437664,0.41525474,0.40631363,0.4008921,0.4018574,0.40901065,0.4188861,0.4265814,0.42871237,0.42470887,0.4170663,0.4095224,0.4051067,0.40418836,0.40705124,0.41672245,0.44036087,0.48042837,0.527966,0.5626059,0.56728166,0.54205495,0.5048781,0.48097536,0.4824542,0.5046668,0.5265186,0.5322542,0.5172253,0.4933381,0.47327757,0.46469426,0.46458578,0.46571743,0.4620898,0.4529824,0.44302365,0.43581787,0.4327835,0.4305412,0.4283295,0.4274471,0.43410218,0.45293084,0.48251042,0.5120117,0.5252536,0.51357293,0.4821435,0.44738746,0.42368123,0.41424143,0.4131639,0.41099426,0.40353063,0.39183828,0.38344026,0.38440314,0.39558074,0.40825316,0.4123524,0.4028735,0.38581178,0.37159204,0.36966053,0.3821191,0.4055895,0.43301424,0.45990714,0.4855195,0.51239425,0.53795314,0.55388594,0.54850537,0.519003,0.47290924,0.42621323,0.3934846,0.3831562,0.39533046,0.42151788,0.44933668,0.46694925,0.4713093,0.46674407,0.46152854,0.45913324,0.45873275,0.4574608,0.45539114,0.4531326,0.44889393,0.43837497,0.41910866,0.39735726,0.3860782,0.3992789,0.4381586,0.48783883,0.52331996,0.5279506,0.5053015,0.4739671,0.45231178,0.44535065,0.44860306,0.4550604,0.46224836,0.46967915,0.4777318,0.484535,0.48801813,0.48619834,0.48058832,0.4742645,0.4699447,0.46678033,0.4618261,0.4528513,0.44022503,0.42615828,0.4155873,0.41500154,0.43250117,0.46718565,0.507889,0.5333097,0.5311882,0.5058356,0.4786516,0.47035882,0.48556638,0.51100636,0.5246392,0.5164474,0.4908817,0.46463072,0.44730103,0.4404808,0.4377689,0.43669686,0.43724713,0.4415232,0.44882306,0.4569229,0.46272358,0.4629086,0.45498133,0.4398829,0.4259591,0.42812958,0.45669207,0.50765634,0.5594694,0.5903425,0.5901673,0.56717706,0.5361158,0.51077443,0.49872398,0.5021132,0.51799613,0.5384057,0.5540574,0.5577419,0.5499384,0.5370917,0.52857924,0.5279421,0.53207546,0.5323534,0.5227854,0.502433,0.47672725,0.45324937,0.4401417,0.4435835,0.46603242,0.5023148,0.54024905,0.5664244,0.5749502,0.5686009,0.554256,0.5368274,0.51972264,0.506099,0.49909118,0.49898043,0.50241876,0.50365883,0.49843714,0.48844215,0.48199868,0.48844662,0.50618225,0.5218678,0.5175271,0.49018344,0.45023498,0.41744956,0.40136346,0.40413642,0.4189556,0.4396247,0.45743218,0.46518755,0.45894384,0.44319662,0.42651662,0.414642,0.40396127,0.38672328,0.35861233,0.32411122,0.2919217,0.26865095,0.25515375,0.24871135,0.24688785,0.24897878,0.25491297,0.2627454,0.2689139,0.26992548,0.26511982,0.25715673,0.25023443,0.24758393,0.24950404,0.2544916,0.26039848,0.26618826,0.27100065,0.27428535,0.27538908,0.274637,0.272688,0.27009007,0.26700425,0.26388374,0.2620145,0.2623162,0.2648063,0.26825342,0.2737731,0.28648388,0.31681874,0.37037015,0.44150424,0.50717545,0.5448089,0.54489964,0.5240487,0.50784844,0.5155464,0.54447144,0.57695884,0.5926222,0.58071566,0.5434875,0.4910488,0.43532208,0.38462237,0.3447852,0.32180095,0.32393894,0.35999286,0.43008676,0.5214672,0.60530835,0.6543706,0.6526739,0.6090116,0.54324204,0.47883776,0.42751467,0.39275858,0.3722713,0.36648127,0.38011718,0.41693187,0.47474346,0.5385654,0.5895148,0.61006445,0.5986052,0.56511956,0.52699655,0.49412206,0.46810374,0.44628704,0.4299846,0.42423594,0.43214178,0.44943857,0.46640489,0.4741117,0.47139362,0.46324572,0.45576188,0.45055482,0.44655988,0.44261268,0.43857205,0.43322906,0.42473027,0.41394508,0.40569365,0.40667877,0.4193767,0.44181678,0.46669248,0.4861332,0.49166024,0.48086095,0.455201,0.41973338,0.3754433,0.32237688,0.26186362,0.20073868,0.14690799,0.10514394,0.07498483,0.053351175,0.037522666,0.026097722,0.018266084,0.0130974045,0.0096042575,0.0070844833,0.0051983907,0.003811368,0.002836216,0.0021770883,0.0017420981,0.0014605331,0.0012840313,0.0011775685,0.0011137769,0.00107153,0.0010400609,0.0010171073,0.0010068128]