[0.14983234,0.14376868,0.1299935,0.11155036,0.09308682,0.0793597,0.07426561,0.07801663,0.086949,0.0941451,0.09454861,0.0870425,0.075408906,0.06468821,0.05983211,0.06344339,0.074920885,0.08926233,0.099538706,0.10101538,0.094137885,0.08385608,0.07643037,0.07697257,0.08630163,0.10020126,0.10986646,0.108431496,0.09508411,0.076237924,0.0593043,0.048712473,0.044888217,0.047530532,0.05672468,0.072159916,0.091474235,0.11116445,0.12881137,0.14457636,0.16026877,0.17691672,0.19323993,0.20561026,0.21023633,0.20518953,0.1912074,0.17014468,0.1436255,0.113688104,0.08448023,0.062060267,0.051813286,0.055365127,0.069913834,0.089360066,0.10712227,0.11861136,0.12256386,0.120372914,0.11417601,0.105997555,0.09742006,0.08962137,0.08250343,0.07545018,0.0690365,0.06634849,0.07009687,0.07928014,0.08823666,0.09159847,0.08804876,0.08122917,0.07579162,0.07509348,0.079562046,0.08717007,0.09371605,0.09524408,0.0904518,0.08147865,0.07250992,0.06734704,0.06915477,0.078508794,0.09322023,0.10688075,0.11353413,0.11020831,0.099817544,0.08788508,0.080631375,0.081810184,0.091315694,0.10410484,0.11253203,0.11113579,0.09998404,0.083907776,0.068550594,0.05775382,0.053480383,0.05668047,0.06705242,0.08214297,0.09814926,0.11220279,0.12431847,0.13667841,0.15115047,0.16698146,0.18080312,0.18833584,0.18733801,0.17826605,0.1633671,0.14410372,0.12138214,0.0973776,0.07695513,0.06612659,0.06804191,0.08074973,0.09750707,0.11090082,0.11648246,0.11465039,0.10858813,0.10161159,0.09518293,0.08962527,0.08449807,0.07924659,0.07337305,0.06817019,0.06771329,0.07593424,0.09258595,0.110385545,0.12091294,0.11989796,0.110850215,0.09993228,0.0922186,0.08925112,0.090234935,0.09278483,0.09366969,0.0906096,0.08343498,0.07446113,0.066859916,0.06365951,0.06650529,0.07475368,0.08475841,0.09140292,0.09112731,0.084060706,0.07405614,0.066722356,0.06815598,0.08120216,0.10338106,0.12528467,0.13716264,0.13421103,0.12026202,0.10266325,0.08796487,0.07914483,0.07717049,0.08173215,0.091383606,0.10346419,0.11575266,0.12787594,0.14135522,0.15755422,0.17597586,0.19378136,0.20695655,0.21198921,0.2075085,0.19422108,0.17465109,0.15272222,0.13518433,0.12868589,0.13536397,0.14807649,0.15595488,0.15207572,0.13913897,0.12415112,0.112691015,0.1055134,0.10141381,0.09876377,0.09660616,0.093675844,0.08903899,0.08212727,0.074259505,0.06898063,0.071057715,0.082447074,0.09951624,0.114750065,0.12240455,0.1221874,0.11794541,0.11358089,0.111053534,0.110624455,0.111614205,0.1121793,0.109736346,0.10245346,0.090692095,0.07767244,0.068451524,0.06851403,0.079532474,0.09751021,0.112754025,0.11731147,0.10907358,0.09379959,0.07920588,0.072001494,0.07422287,0.08360976,0.093480416,0.09716696,0.091864,0.0803496,0.06866724,0.06278304,0.06784418,0.08424857,0.10704503,0.12456006,0.12815952,0.11601889,0.09575311,0.07625737,0.06489184,0.06576749,0.0794022,0.101145804,0.1201694,0.12674116,0.117671184,0.10021112,0.085517764,0.0833685,0.09704142,0.12445792,0.15995507,0.19749159,0.23175575,0.2582718,0.27317742,0.27418587,0.26255748,0.2438377,0.22640954,0.21720211,0.2176169,0.222264,0.22269301,0.2138884,0.19845538,0.18611915,0.18539913,0.19754851,0.21294792,0.22070988,0.21489988,0.20028095,0.18530942,0.17833902,0.18280603,0.1984197,0.22064902,0.24260104,0.2565064,0.2575923,0.2455123,0.22581027,0.2070936,0.19795896,0.20207064,0.21581721,0.23038335,0.23582722,0.22778338,0.20887338,0.18917148,0.18021989,0.18906857,0.21322282,0.24120884,0.2600039,0.26076376,0.24375254,0.21509512,0.1852322,0.1630422,0.15333955,0.1534928,0.15666431,0.1566844,0.1531018,0.14982276,0.1505328,0.15446909,0.15752657,0.15591437,0.14904477,0.13876928,0.12730895,0.11633423,0.10742545,0.10256807,0.10225564,0.104367666,0.104424395,0.10023131,0.09423291,0.092575215,0.09840255,0.1083113,0.11402279,0.110077284,0.0987095,0.08875001,0.08924091,0.10297302,0.124769695,0.1448261,0.15680645,0.16385072,0.17634179,0.20200932,0.23628283,0.26545778,0.2768794,0.26867124,0.2478772,0.22438921,0.2059363,0.19668667,0.19713509,0.20310654,0.20810835,0.20614731,0.19587517,0.18064855,0.16773786,0.16387522,0.17198594,0.18776749,0.20269914,0.2084104,0.20346816,0.19323458,0.18640812,0.1873134,0.19297679,0.19579704,0.190233,0.17799471,0.16606158,0.16256325,0.17034407,0.18707187,0.20531179,0.21820728,0.22126085,0.21543129,0.2040574,0.19085522,0.17682569,0.16151395,0.14473091,0.12826627,0.11452139,0.10468113,0.097719304,0.092240185,0.0876976,0.08504659,0.08515245,0.08871559,0.09443268,0.09971136,0.10013566,0.09427625,0.084484614,0.07808831,0.08155993,0.09764258,0.12284603,0.15047915,0.17383629,0.18860321,0.19354051,0.19112994,0.18796146,0.19239533,0.20916843,0.23626459,0.26573098,0.2891073,0.30070838,0.30025944,0.2914566,0.28005758,0.2693244,0.25884497,0.24628411,0.23188986,0.2197035,0.21379282,0.21333031,0.21160541,0.20233296,0.18591715,0.17105909,0.16763902,0.17930348,0.20031692,0.22061326,0.23190612,0.23125057,0.21960288,0.20074494,0.18012649,0.16366942,0.15439315,0.1518536,0.15468174,0.1629682,0.17692028,0.19317383,0.20567866,0.2088061,0.20098518,0.18371344,0.16095655,0.13835953,0.12280935,0.11823816,0.12265992,0.12807386,0.12706824,0.117209256,0.10240195,0.08796525,0.07744899,0.07174593,0.07116681,0.07696955,0.08955374,0.10659235,0.12164839,0.12902574,0.12750097,0.12259412,0.12083081,0.12524484,0.13309948,0.14031024,0.14441556,0.14533268,0.14296316,0.13676955,0.12679023,0.11498902,0.1054979,0.10428526,0.116693735,0.14343293,0.17730379,0.20678617,0.22310019,0.22529753,0.21769823,0.20439298,0.18725084,0.1673959,0.14785439,0.13218252,0.12353008,0.123660706,0.13375711,0.15330856,0.17846005,0.20155443,0.21372171,0.20946477,0.19099592,0.1676115,0.15055048,0.14508541,0.14898543,0.1569339,0.16667128,0.17942338,0.19567549,0.213171,0.22727306,0.2337326,0.22900623,0.21319063,0.19111872,0.17159288,0.16100721,0.15928711,0.16095997,0.16028447,0.15488078,0.14545362,0.13496882,0.12703304,0.12410709,0.12513258,0.12618193,0.12490904,0.12342324,0.12713832,0.13830914,0.15443866,0.16948658,0.1801911,0.18590826,0.1887375,0.18965888,0.18944061,0.18750928,0.18352531,0.17814595,0.1741225,0.17462029,0.17970675,0.18570523,0.18892045,0.19016428,0.19479306,0.20755138,0.22835808,0.25113314,0.26706123,0.26895913,0.2561496,0.23574196,0.21873944,0.21299319,0.21891022,0.23122041,0.24381821,0.25308847,0.25803253,0.25902686,0.2574454,0.25504017,0.25327888,0.25158536,0.24791174,0.2399441,0.22760051,0.21262737,0.19738387,0.18286413,0.16971852,0.1596335,0.15650077,0.16293071,0.17788218,0.19498746,0.20845324,0.21557723,0.21889015,0.2201507,0.21970792,0.21562254,0.20780975,0.19707392,0.18488269,0.1717214,0.15808894,0.14457694,0.13200386,0.1208553,0.1114401,0.10376727,0.09778368,0.093191914,0.08975234,0.08763107,0.08754159,0.090565115,0.09593622,0.100916296,0.101026975,0.0947179,0.08372525,0.072791256,0.06491267,0.061161596,0.061322093,0.06689405,0.080098756,0.10193045,0.12912738,0.15635405,0.17875625,0.19647227,0.21235472,0.23082964,0.25193205,0.27192548,0.28277686,0.2795299,0.26248628,0.23862104,0.2156266,0.19924624,0.19171478,0.19300975,0.20042741,0.20870455,0.2116366,0.20523404,0.19047268,0.17283879,0.16024528,0.1577908,0.16656937,0.18204081,0.19895492,0.21120815,0.21513551,0.20837088,0.193061,0.17548382,0.16302642,0.1604536,0.16684891,0.17957814,0.19468026,0.2092904,0.21956176,0.22339202,0.22034198,0.21165812,0.19848238,0.18244259,0.16650915,0.15373047,0.14463405,0.13687564,0.12783138,0.11715189,0.10639554,0.09771537,0.09326776,0.09503195,0.103504874,0.116294436,0.12974562,0.14211033,0.15541361,0.1720957,0.19159968,0.20921023,0.2199208,0.22100095,0.21281658,0.19712816,0.17653823,0.15495065,0.13685505,0.1257068,0.12079224,0.11872223,0.11602753,0.11409086,0.11808509,0.13382584,0.16137083,0.19338436,0.21813643,0.22717853,0.22048779,0.20542485,0.19094469,0.18236244,0.18006666,0.18117845,0.18163456,0.17840688,0.17028655,0.15907842,0.1482927,0.1423407,0.14289027,0.1478603,0.15139674,0.1488787,0.13971706,0.12787966,0.11819551,0.11426107,0.11816832,0.12985788,0.14609402,0.15971823,0.16407283,0.15680335,0.14163907,0.12437115,0.10944431,0.098270826,0.09057491,0.08544796,0.082054794,0.07953306,0.077205166,0.07479402,0.07343632,0.07581995,0.085129865,0.101126015,0.11875328,0.13000499,0.1314788,0.12753426,0.12841599,0.14154838,0.16702686,0.19687884,0.22079895,0.22973095,0.22121666,0.19842404,0.1696894,0.14172132,0.11861664,0.10102429,0.09033433,0.08826444,0.09558011,0.10948513,0.12462402,0.13589472,0.14138465,0.1425864,0.14279278,0.14424346,0.14703085,0.14889954,0.14765048,0.14249425,0.13517958,0.12868732,0.12581126,0.1274119,0.13139695,0.1338505,0.13151799,0.12509176,0.118992336,0.1191318,0.12897421,0.14824444,0.17233294,0.1947428,0.20897482,0.21280318,0.20765479,0.19777001,0.18551748,0.17275111,0.16112423,0.15358573,0.1507588,0.14982928,0.14659743,0.13934225,0.13058873,0.12406831,0.12328303,0.12885462,0.13891034,0.14814524,0.15190198,0.14950812,0.14562625,0.14798163,0.16352576,0.19497454,0.23479247,0.2662553,0.2730701,0.25468525,0.22743763,0.21184315,0.21596645,0.23354967,0.25160244,0.26110747,0.26098618,0.25792444,0.26068184,0.2703493,0.27792478,0.27008435,0.24628969,0.21915455,0.20629494,0.21211241,0.22991395,0.24918099,0.2656307,0.28075835,0.299299,0.32692957,0.3610854,0.38980207,0.39421654,0.3697208,0.3276687,0.28998378,0.26705003,0.25673902,0.24905969,0.23821282,0.22306208,0.20612186,0.19093919,0.18243198,0.18515913,0.20106034,0.22684087,0.25322536,0.2687308,0.26436397,0.24095356,0.207323,0.17611332,0.15499878,0.14648378,0.15063809,0.16690904,0.19317095,0.22233129,0.24617903,0.2564733,0.25,0.22751452,0.1977353,0.17350988,0.16767462,0.18454443,0.21908824,0.26031557,0.29517546,0.3151404,0.31881383,0.31899357,0.3277501,0.3473154,0.35736167,0.33956322,0.29140553,0.23613505,0.19836427,0.1898734,0.20286168,0.22098528,0.2287751,0.21827628,0.19162987,0.15767708,0.12679495,0.10473321,0.092645444,0.088290595,0.08878613,0.09236113,0.09997546,0.11577014,0.14086206,0.17289068,0.20586675,0.24251032,0.28657857,0.3377979,0.37774432,0.38824567,0.36332154,0.319921,0.27921587,0.25461182,0.24574727,0.24682622,0.25139245,0.25470296,0.253851,0.25007436,0.24863951,0.25591648,0.27304968,0.29267272,0.30265382,0.2935662,0.26666418,0.2306724,0.19644053,0.16892187,0.15004872,0.14152424,0.14738421,0.16887075,0.20123856,0.2340845,0.2569854,0.26320606,0.25165692,0.22697558,0.19922554,0.1805334,0.17919339,0.19514148,0.22104955,0.24602933,0.26263845,0.27011946,0.27837184,0.29897746,0.3335952,0.36417887,0.36506173,0.32586977,0.26364782,0.21157575,0.19279467,0.20799452,0.23847002,0.26358843,0.27076647,0.26157072,0.2447415,0.23080713,0.22397245,0.2239014,0.22750075,0.23350352,0.24216175,0.254546,0.27015275,0.28655937,0.3006191,0.31271973,0.32794502,0.35258737,0.3837607,0.40744925,0.405808,0.3748877,0.32721734,0.2837915,0.25679412,0.2474451,0.24971803,0.25762007,0.265601,0.26945487,0.26867244,0.26744986,0.27197966,0.28413692,0.29884458,0.30539155,0.2953163,0.2686986,0.23695232,0.21405138,0.20674103,0.20948017,0.21216042,0.21009935,0.20663172,0.20837395,0.21733153,0.23036529,0.23988776,0.23929529,0.22533534,0.20103087,0.17309816,0.14924097,0.13575262,0.13754608,0.15548015,0.18247853,0.2077043,0.22617044,0.24817996,0.2823069,0.3220825,0.33898163,0.31614682,0.26178974,0.20962937,0.18349831,0.18781002,0.20887361,0.23437583,0.25604787,0.2708536,0.27576467,0.26884273,0.24824601,0.21611379,0.18082207,0.15592629,0.15242627,0.1712643,0.20256698,0.23241043,0.25012562,0.25563467,0.25806746,0.27386653,0.3082751,0.35147735,0.37651387,0.36888126,0.33364388,0.29648066,0.27501824,0.2718744,0.2758136,0.27728447,0.27236405,0.26216212,0.24884029,0.23443101,0.22094083,0.21145724,0.21036762,0.21959865,0.23554581,0.24864571,0.252189,0.24633509,0.23822047,0.23257901,0.22953413,0.22567828,0.21902621,0.20937525,0.19708584,0.18330465,0.16931331,0.15684009,0.14597385,0.13758107,0.1331104,0.13424306,0.14072816,0.15100247,0.16560513,0.18265475,0.19874948,0.2078591,0.21587306,0.2330541,0.26478004,0.29358253,0.29648337,0.26624635,0.22457378,0.20128924,0.21018243,0.24063337,0.27054754,0.28394875,0.2785422,0.265039,0.2569553,0.26217398,0.2774043,0.29369745,0.30388764,0.30561653,0.29963574,0.28724155,0.27258563,0.26116124,0.25792947,0.2642678,0.28185058,0.31109658,0.34785175,0.37750766,0.38478604,0.36440292,0.3271817,0.28862545,0.2593348,0.24184556,0.23595922,0.23894244,0.24462001,0.24362661,0.23187853,0.21463324,0.20454712,0.21060951,0.23058705,0.2510058,0.2563567,0.2402104,0.21002619,0.18179949,0.16904421,0.17474233,0.19206429,0.21094231,0.22421771,0.22960617,0.2275864,0.21965903,0.20714639,0.19189073,0.17601542,0.16178244,0.15044445,0.14254698,0.13867271,0.14111577,0.15129203,0.16758607,0.18630731,0.20848101,0.24115442,0.2848606,0.32414338,0.3322488,0.2987983,0.23903374,0.18544255,0.15898293,0.1632068,0.18675928,0.21728261,0.24212961,0.25447834,0.25295135,0.24427778,0.23593308,0.23326765,0.2370143,0.24620084,0.25901607,0.27340713,0.28694737,0.29784718,0.3057833,0.3141556,0.3289719,0.35584974,0.3895695,0.41363934,0.40771544,0.36781088,0.30882022,0.25503147,0.22048378,0.20631051,0.20664096,0.21662761,0.23244554,0.24947603,0.26268673,0.26802096,0.2639818,0.25245252,0.2401142,0.23388714,0.23664601,0.24245799,0.2447077,0.24020834,0.23375392,0.22994995,0.23089756,0.23381792,0.23508698,0.23243563,0.22616065,0.21883337,0.21136248,0.20235157,0.18814953,0.1690023,0.14881982,0.13399002,0.12715663,0.12801194,0.13365321,0.14148395,0.15150863,0.16871767,0.20404299,0.25969622,0.32317215,0.36418906,0.36428443,0.32583833,0.27613345,0.23842217,0.2237857,0.22624184,0.23559272,0.24151875,0.23918511,0.22965431,0.21852742,0.21113236,0.209477,0.21311891,0.22108877,0.23226152,0.24435204,0.25491428,0.26356706,0.27254966,0.28608415,0.30717394,0.33816004,0.37388802,0.40426588,0.41318408,0.3963585,0.36081138,0.32571283,0.3024819,0.29361987,0.29197252,0.29178628,0.28964233,0.28516567,0.2784395,0.27038446,0.2631375,0.2599639,0.26416573,0.27544832,0.28947756,0.29844096,0.2982756,0.29001042,0.28007197,0.27303112,0.27059063,0.27117288,0.27381542,0.27805817,0.28366613,0.28902876,0.29054758,0.28341818,0.2637348,0.2326836,0.19685376,0.16605817,0.14742757,0.14310272,0.15009677,0.16208152,0.17363453,0.18368207,0.19918485,0.22610144,0.2608952,0.28517258,0.2812747,0.24657404,0.19789505,0.15713735,0.1373164,0.13958006,0.1553082,0.1728837,0.1791566,0.16987698,0.14898984,0.12811963,0.11417722,0.108535945,0.107266285,0.10735888,0.10788035,0.11005258,0.11620314,0.12604259,0.13668908,0.1436301,0.14860673,0.1573247,0.17406154,0.19221526,0.19995181,0.19035636,0.16840859,0.14547168,0.13011925,0.12487326,0.12725352,0.13315786,0.13742208,0.13668455,0.13017933,0.120620735,0.111705504,0.107068546,0.10866932,0.11566504,0.123869635,0.12758859,0.123820186,0.1138768,0.10211293,0.09236196,0.08714815,0.08843813,0.09730614,0.11226913,0.12791665,0.13884068,0.1437071,0.14785214,0.15875758,0.18060493,0.21031386,0.23921283,0.25788927,0.26115486,0.2511974,0.23578477,0.22413568,0.22104573,0.22618891,0.23621412,0.24853265,0.26110196,0.271077,0.27509782,0.2720851,0.2654611,0.2606933,0.260766,0.26307678,0.26198557,0.25370106,0.23946077,0.22392975,0.21152061,0.2038269,0.19994365,0.19856644,0.19969754,0.20443112,0.21230413,0.21949373,0.22076352,0.2174383,0.22156756,0.25159517,0.31161156,0.38276577,0.428589,0.42840192,0.388715,0.339198,0.3023124,0.28447467,0.27799597,0.27508056,0.27151343,0.26615155,0.25931114,0.25199732,0.24673475,0.24586554,0.25080857,0.25699255,0.2556537,0.23680295,0.20051843,0.15582585,0.11690158,0.09121424,0.079455584,0.07719245,0.08014456,0.08473355,0.088537134,0.09082103,0.091411375,0.09055277,0.08841791,0.08846244,0.097108334,0.120575316,0.15976371,0.20878698,0.25983262,0.30494836,0.34004351,0.36397734,0.38368773,0.4059856,0.43043938,0.44171205,0.42485738,0.37925336,0.3236889,0.27997264,0.25856116,0.25475177,0.25529757,0.24901651,0.23213397,0.21181925,0.1979515,0.19654667,0.20379044,0.21184862,0.21446109,0.21068572,0.20459832,0.20303093,0.21457058,0.2426941,0.28446677,0.33016288,0.37424874,0.4139965,0.44554162,0.45570028,0.43291822,0.38048613,0.31908262,0.27158698,0.24694735,0.23999499,0.24039643,0.24179588,0.24189848,0.2404717,0.23733427,0.23334546,0.23065768,0.23221725,0.23746864,0.24079795,0.23314744,0.21034169,0.17662512,0.14222714,0.11527086,0.09801784,0.08882922,0.084983855,0.084445275,0.085272215,0.08738648,0.09189867,0.09993846,0.10979473,0.118598066,0.12533422,0.13318682,0.1475447,0.17248374,0.20961304,0.2563056,0.30712,0.3540503,0.39358437,0.42649356,0.45259377,0.46359348,0.44722,0.40351555,0.34811047,0.30459318,0.28399876,0.28310952,0.28749606,0.28446746,0.2655807,0.23201348,0.19051892,0.15129295,0.12064523,0.10188369,0.096205555,0.10463318,0.12626626,0.1569509,0.19174062,0.22613859,0.25815472,0.2881579,0.32081982,0.36223102,0.40884778,0.44403532,0.44437912,0.4050828,0.34285882,0.28765693,0.25570852,0.24694721,0.24980538,0.2552912,0.2588514,0.25998816,0.2593257,0.25802517,0.25743136,0.2586852,0.2617133,0.2618355,0.25133786,0.22306283,0.17963879,0.13145395,0.09206074,0.06764545,0.057788838,0.05717768,0.061029185,0.0655828,0.069589965,0.073644735,0.07849667,0.08357569,0.08747407,0.091959625,0.101506084,0.12086686,0.14967982,0.18422967,0.21962719,0.25286546,0.2832441,0.31358948,0.35068455,0.3944112,0.43315363,0.44388494,0.4175386,0.365088,0.31464055,0.28411356,0.27578816,0.27879706,0.28306362,0.28236637,0.2750872,0.26255336,0.24742432,0.23061897,0.21000308,0.18368559,0.1542035,0.12968959,0.11887938,0.12698002,0.15306711,0.19159414,0.23583841,0.2813374,0.32936394,0.37771186,0.41683102,0.42767048,0.40277484,0.35265708,0.30342352,0.27324066,0.26486087,0.2683657,0.27401745,0.27678958,0.27625117,0.27359542,0.27034217,0.2680181,0.26796713,0.27088603,0.2729756,0.26671267,0.24332888,0.20276462,0.1534407,0.10886648,0.07706901,0.059730705,0.053834345,0.055713326,0.06256098,0.07356714,0.09254951,0.1244112,0.16996497,0.22030143,0.26269624,0.2900963,0.30563113,0.3176094,0.32922757,0.3381393,0.33778134,0.32767317,0.3135792,0.3108549,0.32868436,0.3625499,0.38801098,0.38399577,0.34866354,0.3039764,0.2741226,0.26918605,0.28353235,0.30430388,0.3209268,0.32611144,0.32009625,0.3072781,0.29498568,0.28626502,0.28183433,0.28103414,0.2853711,0.29528192,0.30906457,0.3219521,0.32983318,0.3320812,0.3341756,0.34561357,0.3717341,0.4048811,0.4249269,0.4142891,0.37384817,0.32274723,0.28319964,0.2649745,0.2652491,0.275776,0.28950024,0.30075076,0.30536398,0.30217624,0.2939125,0.28565344,0.28084695,0.27815706,0.27078167,0.2505841,0.21460514,0.16915543,0.12625362,0.09602729,0.080912836,0.07724149,0.079119,0.082696475,0.087299086,0.09679276,0.11722239,0.15214878,0.19744134,0.24262059,0.27860776,0.30373004,0.32285926,0.33961722,0.3529607,0.35838726,0.35429248,0.3458892,0.34443274,0.36057362,0.39008486,0.41388354,0.4069468,0.3659005,0.30863485,0.2650369,0.24872714,0.2566082,0.27220607,0.28098026,0.27321276,0.2492416,0.2165196,0.18627602,0.16565698,0.15605135,0.15411656,0.15601651,0.16001873,0.16802146,0.18482351,0.21372771,0.25347063,0.29896894,0.346644,0.3958614,0.44069543,0.46759343,0.45968303,0.41780353,0.3593661,0.3101733,0.28081182,0.26848865,0.26327622,0.26008835,0.25726715,0.2543317,0.25103873,0.24821357,0.2479349,0.25130808,0.25844976,0.2663481,0.27074742,0.2660788,0.25169626,0.23018157,0.2064411,0.18193424,0.15799268,0.13829118,0.12914927,0.1338621,0.14916445,0.16843665,0.18665023,0.20280059,0.21647461,0.22584146,0.22687817,0.21744424,0.20000373,0.18440054,0.1835513,0.20574634,0.24939822,0.30498683,0.3646728,0.41949913,0.45823064,0.4629281,0.4280806,0.36605787,0.3058695,0.2689935,0.26017693,0.26765046,0.27542067,0.2721004,0.25638986,0.23868723,0.2327497,0.24602711,0.27157792,0.29604498,0.30900463,0.31115177,0.30951118,0.31148756,0.31958583,0.33123353,0.34299436,0.35412487,0.37040886,0.39413738,0.41860804,0.4243033,0.39933455,0.3487155,0.29546902,0.25876194,0.24409227,0.24372934,0.2481906,0.25182864,0.2528486,0.25130883,0.24797636,0.24474685,0.24405323,0.24767034,0.25225,0.24954613,0.22986083,0.19245858,0.14667116,0.10671153,0.08082384,0.0695977,0.07110982,0.084516235,0.10942946,0.14091845,0.17207527,0.195943,0.20988292,0.21291564,0.20634264,0.19175436,0.17196828,0.15060197,0.13386028,0.131916,0.15217665,0.1946712,0.24814488,0.30284205,0.3526143,0.3933214,0.41288042,0.39883485,0.35332477,0.2962088,0.25297487,0.2344956,0.23646963,0.24376158,0.2430561,0.22545719,0.19336726,0.15621522,0.12569155,0.10596993,0.09567633,0.09262115,0.097565316,0.111801006,0.1340452,0.1630885,0.19710535,0.23484509,0.27253765,0.31076717,0.3513011,0.3912795,0.41473415,0.40288138,0.35372826,0.28728172,0.23205687,0.20203477,0.19374941,0.1945867,0.19566612,0.19401884,0.19012414,0.1851288,0.17976163,0.17508407,0.17201859,0.17133392,0.17254204,0.17427142,0.17451839,0.17229412,0.16782868,0.16264497,0.15801682,0.15464453,0.15264939,0.15224387,0.15334915,0.15489532,0.1548701,0.15155996,0.1447663,0.13579059,0.12626927,0.117428906,0.10995209,0.10451785,0.10176337,0.10217912,0.10549001,0.110411644,0.11462315,0.1157837,0.112718225,0.1061188,0.097882636,0.089894064,0.08333734,0.07984785,0.08271432,0.09735924,0.12631851,0.1657065,0.2029547,0.22587359,0.22903216,0.21847029,0.20408694,0.19387746,0.18945839,0.18868613,0.18815587,0.18520658,0.17844634,0.16817135,0.15738271,0.15357573,0.16798645,0.21105158,0.27894858,0.3504696,0.39381847,0.39421514,0.36161676,0.32514092,0.30530167,0.30629084,0.31815922,0.33094797,0.33881512,0.3403268,0.3358469,0.3263617,0.313439,0.29925188,0.28744784,0.2805606,0.27838424,0.27575526,0.26752636,0.2515451,0.2316493,0.21397322,0.20337813,0.20080887,0.202515,0.20420514,0.2033451,0.20283653,0.20581412,0.2127499,0.2183532,0.21727027,0.2076112,0.19287862,0.17979342,0.17637841,0.19011284,0.22164325,0.26467216,0.30801997,0.34820285,0.38424096,0.41330898,0.4204934,0.3956903,0.34292233,0.28495356,0.2432872,0.22679251,0.22763117,0.23059575,0.22271673,0.20175593,0.17976613,0.17377806,0.1930864,0.22918539,0.26486412,0.28688923,0.29485917,0.29570022,0.29531798,0.29606533,0.2980779,0.30431476,0.31873274,0.34680817,0.38570753,0.4234538,0.43871152,0.42059633,0.37584147,0.3281039,0.2966607,0.28692856,0.2909833,0.2989626,0.30487856,0.3066267,0.3036959,0.29581514,0.28395513,0.270739,0.26042032,0.2551733,0.2536978,0.25079966,0.24341445,0.23159103,0.2188613,0.20754452,0.19951005,0.19651859,0.19992352,0.20826483,0.21613629,0.21861583,0.21417159,0.20633984,0.1992179,0.19549136,0.19428487,0.19276081,0.18809716,0.18160953,0.18136233,0.19703753,0.23317726,0.28394568,0.34027752,0.39369336,0.43547276,0.4529991,0.4353607,0.38737223,0.3286257,0.28284696,0.25940242,0.2556468,0.26181895,0.27079132,0.27590027,0.27480426,0.2683628,0.261592,0.2568287,0.25257912,0.24463387,0.23033935,0.21106088,0.1918174,0.18195476,0.18953966,0.21797322,0.2615824,0.3126568,0.3639693,0.40790418,0.43198815,0.4241202,0.3863782,0.33624423,0.296653,0.27747175,0.27541697,0.2804587,0.28624907,0.29011822,0.29161546,0.29085973,0.28854725,0.28698352,0.2881578,0.29289874,0.29569533,0.2881556,0.26233682,0.22152215,0.1764928,0.1411418,0.12144179,0.11814558,0.12833081,0.14916204,0.17543185,0.20080538,0.2204244,0.23269433,0.23812269,0.23675974,0.22918566,0.21701372,0.20410378,0.1946222,0.1935126,0.20383747,0.22563069,0.25577495,0.29238787,0.33796027,0.3891406,0.43163136,0.4399935,0.40506697,0.3402457,0.27852023,0.2419707,0.23532502,0.24645527,0.2609953,0.2664841,0.25741595,0.23648942,0.21297921,0.19548146,0.18630569,0.18180527,0.17727743,0.17077053,0.16455823,0.16438605,0.1757287,0.19893372,0.22933829,0.2636783,0.30631864,0.35796592,0.40690294,0.42679176,0.40542755,0.35409418,0.30442712,0.27706167,0.27425063,0.283932,0.29581404,0.30479178,0.30908382,0.30825862,0.3025621,0.29418612,0.28527328,0.27817726,0.27091166,0.25853243,0.23372145,0.19642888,0.15387319,0.11824522,0.09631281,0.088198096,0.08973367,0.096945785,0.10736808,0.11918131,0.1334551,0.15158848,0.17453699,0.19821118,0.21908517,0.23544069,0.24949558,0.26137918,0.26940164,0.27226785,0.27129555,0.27052093,0.27473626,0.2920289,0.32585248,0.36885354,0.3977557,0.39243641,0.35145128,0.29697603,0.2545849,0.23719765,0.24166387,0.25664082,0.27174973,0.27992055,0.28301063,0.28593916,0.29391268,0.302402,0.30562535,0.3001383,0.29135928,0.2851793,0.28524354,0.29224205,0.30503675,0.3224381,0.3409649,0.36195266,0.38551244,0.40910295,0.41892198,0.40421966,0.36597177,0.3218502,0.28999344,0.27816716,0.2813687,0.29035884,0.2978442,0.29983127,0.29518834,0.28451332,0.27105743,0.25979125,0.25662827,0.2636861,0.2758969,0.28195342,0.27199283,0.24591835,0.2128324,0.18473256,0.16800356,0.16363172,0.16817571,0.17802167,0.18870258,0.19836837,0.20643859,0.21441472,0.22106655,0.2239909,0.22011526,0.21040702,0.19916041,0.19332393,0.19922431,0.21982463,0.2530785,0.29344237,0.3366028,0.38085663,0.42057383,0.4431726,0.43305954,0.38989237,0.32966527,0.27852437,0.2508806,0.24767871,0.25504783,0.25696173,0.24013078,0.20685007,0.17303808,0.15906744,0.17190604,0.20081593,0.22774352,0.24078965,0.24139488,0.23816955,0.24121456,0.25344095,0.2718914,0.29078922,0.31191933,0.3418536,0.38048434,0.41131473,0.41093895,0.37346184,0.31607178,0.2669032,0.23976697,0.23246811,0.2339025,0.23699684,0.23863971,0.23859859,0.23681875,0.23392202,0.23124129,0.23085637,0.23473115,0.23992078,0.23893262,0.22203825,0.188969,0.1484046,0.11461944,0.09504125,0.09031707,0.09622007,0.10809699,0.12087024,0.12908995,0.13054599,0.12566452,0.11765582,0.10821897,0.10070693,0.09861413,0.10599581,0.12305262,0.14867096,0.18202521,0.22274773,0.26868162,0.31510195,0.36033234,0.40168628,0.43374217,0.44280484,0.422352,0.37872458,0.3323544,0.29947087,0.28478134,0.28198496,0.2814835,0.2763578,0.2645493,0.25334015,0.2526299,0.2686831,0.29435432,0.3170983,0.32629856,0.32224455,0.31144404,0.30210447,0.29827496,0.2985115,0.30034563,0.30520082,0.32363996,0.35990867,0.4037361,0.4253951,0.4066787,0.3532344,0.29630575,0.2607425,0.2533519,0.26340413,0.2788483,0.29209077,0.2995145,0.2999971,0.29449198,0.2869567,0.28156257,0.2812327,0.28290924,0.2790003,0.25983807,0.22426073,0.18043478,0.14244132,0.11866055,0.10980645,0.11171943,0.12007079,0.13110703,0.13985433,0.14300518,0.13933621,0.13139631,0.12129149,0.11161903,0.10386019,0.09955516,0.0990783,0.10361739,0.117115796,0.14264287,0.18020928,0.22429271,0.2731706,0.32563618,0.37690756,0.40908465,0.40489933,0.36324504,0.305383,0.2589802,0.23892005,0.24296008,0.25541675,0.2596061,0.24252021,0.20591085,0.16113275,0.12445276,0.102440536,0.09365455,0.09109571,0.089832336,0.087895356,0.087514915,0.09548808,0.11767771,0.15610656,0.20572926,0.26388323,0.32672954,0.38595775,0.42088237,0.41462657,0.36984432,0.31190583,0.26842925,0.24995369,0.2496783,0.25534663,0.26016045,0.26223668,0.2622382,0.26061717,0.25847885,0.25732937,0.25922728,0.26447627,0.2688643,0.2640774,0.24268728,0.2058338,0.16307713,0.12714691,0.105135374,0.097691625,0.10039886,0.10803038,0.1154753,0.11976117,0.11992172,0.11611232,0.10885799,0.10022632,0.09595436,0.10104716,0.11594842,0.13415496,0.15182625,0.1699255,0.19363977,0.22380017,0.25995216,0.30268654,0.3492647,0.3874458,0.39703426,0.37154666,0.32391664,0.28087187,0.25832412,0.25816128,0.27192962,0.29236773,0.3140271,0.33418092,0.35271588,0.37041053,0.38568902,0.39265284,0.38638255,0.36667243,0.34019968,0.31624532,0.3038212,0.3064067,0.32029045,0.3348479,0.33971325,0.32952812,0.30505773,0.26910487,0.22494042,0.17749476,0.13351344,0.09948572,0.078466505,0.07073289,0.075227104,0.09089395,0.11566033,0.14581932,0.17544146,0.19724222,0.20473827,0.19597363,0.17522039,0.15133333,0.13307309,0.12623908,0.131689,0.14568722,0.16045146,0.16835828,0.16597886,0.15622728,0.14568691,0.14139129,0.14745384,0.16443151,0.18702273,0.20618047,0.21106221,0.19639939,0.1650417,0.12901504,0.102508835,0.09470835,0.10409393,0.12047673,0.1322966,0.13374233,0.12718147,0.11921794,0.115739934,0.11817178,0.124283135,0.13033246,0.13361508,0.1325834,0.12636864,0.11467564,0.09878552,0.08188095,0.06772555,0.059107307,0.057232346,0.061994273,0.07113522,0.080129504,0.08377931,0.08035994,0.07317137,0.06855876,0.071594425,0.08316311,0.10017113,0.11702321,0.12921388,0.1359677,0.13977009,0.14298303,0.14353566,0.13796006,0.12461087,0.10783737,0.0940834,0.08951072,0.096930385,0.11636392,0.14428498,0.17356479,0.19456463,0.19850664,0.1823277,0.15130655,0.11780393,0.09498005,0.0901519,0.101287775,0.1197047,0.13642688,0.14821243,0.15763861,0.16848211,0.17924385,0.18384898,0.17646182,0.1583758,0.13697605,0.12089639,0.114513524,0.11811304,0.13007033,0.14794809,0.1670117,0.18144704,0.18739323,0.18670256,0.18419813,0.18336944,0.18256073,0.17786658,0.16722317,0.15317374,0.14010996,0.13062325,0.12391221,0.119422816,0.11965055,0.12955122,0.14814651,0.16635472,0.16945122,0.15178026,0.119624995,0.08984538,0.07563562,0.081663184,0.10118127,0.123073496,0.13802649,0.1441537,0.14433675,0.14154054,0.13802136,0.14168394,0.16797762,0.22886169,0.31506848,0.39427963,0.43152902,0.4179692,0.37484095,0.3346617,0.31470767,0.31262884,0.31596038,0.31569245,0.30964538,0.30076754,0.29290518,0.2878438,0.2850407,0.28319442,0.28246868,0.28129023,0.2765052,0.26284024,0.24106492,0.21592827,0.19543327,0.181675,0.1726703,0.16314314,0.1509013,0.13688432,0.12513247,0.119279556,0.12132611,0.13071102,0.1450444,0.16069804,0.17314643,0.17885464,0.1767947,0.17154711,0.17073387,0.18159212,0.20710371,0.24779855,0.30435708,0.3691748,0.42429957,0.44242537,0.41482314,0.35529968,0.29755756,0.2635046,0.2577094,0.26534522,0.26811805,0.2505587,0.21079032,0.16166513,0.12475126,0.114540316,0.12880696,0.15243922,0.17085767,0.1805573,0.18715769,0.19790263,0.21479501,0.23621435,0.26131412,0.29301026,0.3364528,0.3879198,0.43310705,0.44909284,0.42850962,0.3821509,0.33659184,0.307637,0.2969551,0.2934369,0.28833124,0.27837697,0.26635367,0.2568047,0.25351977,0.25815204,0.26962662,0.28438267,0.2940444,0.28808436,0.25860098,0.21082841,0.16122152,0.12822948,0.117793106,0.12308369,0.1336627,0.14460368,0.15704632,0.17238879,0.19045474,0.20797788,0.22035746,0.22075273,0.2063307,0.1806037,0.1552139,0.1414847,0.14620937,0.16873348,0.2029583,0.24092758,0.27671096,0.31292185,0.35380092,0.39678288,0.4242362,0.41895393,0.38105282,0.3330041,0.3012603,0.29598427,0.30782723,0.3175074,0.3115278,0.28748608,0.2572555,0.23718931,0.23938842,0.26133955,0.29097143,0.3152027,0.32877752,0.3328428,0.33095634,0.32669714,0.32387552,0.3274677,0.34247303,0.37324226,0.41717505,0.4604708,0.47883105,0.45495412,0.39336547,0.32147908,0.26848724,0.24702884,0.24980803,0.26209378,0.27311602,0.27941856,0.28198686,0.28266308,0.28328228,0.28544834,0.29071882,0.297484,0.30022314,0.2911034,0.26765576,0.23540653,0.2048393,0.1824407,0.16786669,0.15733804,0.1490072,0.14383058,0.1427751,0.14619465,0.15380746,0.16554867,0.17950088,0.19277759,0.20331956,0.21151994,0.21943657,0.22861665,0.24151035,0.26056358,0.28816903,0.32403433,0.3669001,0.4141071,0.45636687,0.47787854,0.4619615,0.4104646,0.34212983,0.2851642,0.25349542,0.24685065,0.25054452,0.24980558,0.23393469,0.20791733,0.18829076,0.19325481,0.22479422,0.26726207,0.29911688,0.30892584,0.2995018,0.2825069,0.2693882,0.2682071,0.28131852,0.30890065,0.34870306,0.3978403,0.44606665,0.47767273,0.47632512,0.44090924,0.38522744,0.33096576,0.2913132,0.27012303,0.26445374,0.27051362,0.28258315,0.29415786,0.2999144,0.29861456,0.29273987,0.28621504,0.28189883,0.27854088,0.27238333,0.2594897,0.24141748,0.22150801,0.20210606,0.18127672,0.15965874,0.14188589,0.13391626,0.13508905,0.13962166,0.14278425,0.14547014,0.15075074,0.15800755,0.16458213,0.1688597,0.17436449,0.18467623,0.20266193,0.22831829,0.26183376,0.30259895,0.3495265,0.40062526,0.44921777,0.4826146,0.48396447,0.4471613,0.38390943,0.32041833,0.27788696,0.26164702,0.26173052,0.26513115,0.2643906,0.26073182,0.26079932,0.2698498,0.28730237,0.3053876,0.31659743,0.3170904,0.3093388,0.29710463,0.2848769,0.27706063,0.2776693,0.29043758,0.31733015,0.36171743,0.4187241,0.4733665,0.49824867,0.47776666,0.41817376,0.34890962,0.296885,0.2732475,0.27143857,0.27964514,0.2889501,0.29537284,0.2986263,0.2995353,0.29982364,0.30066362,0.30286184,0.3026922,0.29322383,0.2667012,0.22460955,0.17707342,0.13797738,0.11365343,0.10228083,0.098330416,0.09770161,0.09877031,0.0999867,0.10121729,0.1017977,0.10184889,0.09991669,0.09647717,0.0924563,0.08927924,0.087246485,0.08836552,0.09890703,0.12410829,0.16457848,0.2133224,0.26695958,0.32413185,0.38160264,0.42367983,0.43398368,0.4104811,0.37097442,0.3378341,0.32071602,0.31601974,0.31387618,0.30739346,0.29129788,0.26567802,0.23461084,0.20636778,0.18613078,0.17409718,0.16651106,0.16064988,0.15744309,0.161716,0.17895626,0.21161735,0.2561643,0.30679357,0.3600084,0.41516554,0.46619603,0.49746904,0.4914864,0.4454595,0.37679684,0.31308606,0.27409923,0.26401523,0.27430692,0.2927272,0.30973682,0.32131323,0.32783604,0.33136678,0.33355713,0.33539036,0.33665442,0.33497915,0.32622695,0.3077619,0.28190443,0.25414267,0.22907503,0.20676887,0.18658477,0.16995777,0.16189599,0.16570811,0.18122876,0.20468111,0.23150797,0.25690705,0.27604994,0.28663838,0.29005346,0.291106,0.2937754,0.30034557,0.31235036,0.33106673,0.3582045,0.39327717,0.4355828,0.47616377,0.5006377,0.4910454,0.4470224,0.3858116,0.3358815,0.31195664,0.31194463,0.32125378,0.32808354,0.3276452,0.324062,0.3250743,0.33565712,0.35260102,0.36585188,0.36853063,0.36096087,0.35130957,0.34577993,0.348192,0.3573245,0.3715446,0.3889444,0.41132447,0.44291878,0.48165527,0.51448154,0.5203694,0.49151394,0.43864846,0.38687363,0.35283554,0.33971727,0.33851156,0.34011242,0.33833006,0.33194923,0.32299387,0.31628165,0.31690547,0.32713863,0.34407339,0.3586718,0.3600782,0.34050512,0.30201283,0.25459293,0.21153437,0.18121241,0.1663399,0.16598772,0.17805904,0.19865304,0.22085398,0.23709069,0.24114077,0.2314564,0.21122287,0.19016735,0.17941137,0.1864777,0.20952643,0.24204433,0.27875632,0.3176694,0.3579158,0.39625657,0.43210027,0.4621786,0.48056293,0.4743037,0.44026205,0.38942078,0.34451792,0.3202106,0.31640288,0.32260382,0.3266326,0.32076117,0.302156,0.27850837,0.26216343,0.26425883,0.28116062,0.29880592,0.29945463,0.27630737,0.23605949,0.19728573,0.18016373,0.19505979,0.23881693,0.29820454,0.36350688,0.42606214,0.4761947,0.49540517,0.47405717,0.41956556,0.35852495,0.31409374,0.2948711,0.29366612,0.29981053,0.30525455,0.3069577,0.30577675,0.30583397,0.31195042,0.32623938,0.34645963,0.36591613,0.37662467,0.37152383,0.3486898,0.31063783,0.26400572,0.21661173,0.17805792,0.15788819,0.16108893,0.18413733,0.21530984,0.24272875,0.25838003,0.2597847,0.24708273,0.2252065,0.20368569,0.19335932,0.19894694,0.21780513,0.24428046,0.27456498,0.30682254,0.33989176,0.3750747,0.4146968,0.4545481,0.47912169,0.46937025,0.42330226,0.36005208,0.30901542,0.28543767,0.28709468,0.298128,0.30410197,0.29568925,0.27621904,0.25711182,0.2526979,0.26703942,0.2930329,0.31770828,0.33218303,0.33505693,0.32988596,0.32249358,0.31665853,0.31509608,0.3195155,0.33551773,0.36803257,0.4129155,0.45150873,0.4611331,0.43633774,0.39338282,0.3579547,0.34161055,0.34034577,0.3428224,0.34448123,0.34580055,0.34940627,0.35505092,0.36175442,0.36807314,0.3726281,0.37300423,0.36390162,0.34079185,0.30305317,0.2610626,0.2281416,0.21385042,0.21352647,0.21753328,0.21786274,0.21572326,0.21543102,0.22014265,0.22893639,0.23770364,0.24221778,0.23897743,0.22798692,0.21088187,0.1923963,0.17820613,0.17570715,0.18816131,0.21318121,0.24381988,0.27732554,0.31825057,0.3676881,0.41500506,0.43746185,0.4256059,0.3897854,0.3574039,0.34500206,0.35336053,0.36949608,0.38137433,0.3812089,0.36672676,0.3396527,0.30396783,0.264299,0.2255245,0.19417739,0.17718716,0.17723183,0.19065697,0.21010129,0.23166752,0.25546956,0.28546742,0.32370254,0.37245086,0.42446986,0.46576634,0.47461316,0.44613957,0.3939935,0.3473184,0.32265308,0.31953475,0.32504067,0.3294751,0.3293227,0.32444915,0.3153335,0.30305615,0.2914318,0.2856928,0.29010257,0.3024615,0.31466937,0.3175075,0.31005192,0.2991142,0.2922527,0.28904185,0.28368044,0.2721705,0.2565838,0.24121915,0.22867845,0.22040832,0.21870536,0.22582175,0.24024497,0.25779796,0.2750343,0.29193068,0.3096726,0.3277115,0.345439,0.3619813,0.37902817,0.39736208,0.42033374,0.446456,0.4681493,0.4689218,0.4393655,0.3868067,0.33490372,0.3050064,0.3024156,0.3169969,0.33281496,0.33930182,0.33400473,0.3251641,0.32386586,0.3379984,0.36335635,0.38877916,0.4018326,0.39692125,0.37589726,0.34757867,0.3252138,0.3190001,0.33219227,0.3591781,0.39527395,0.43537393,0.47240838,0.49059176,0.47836235,0.43764392,0.3866929,0.3439134,0.31783518,0.3061771,0.3036186,0.30516025,0.30702317,0.3078903,0.3108424,0.3206962,0.33915985,0.36048457,0.37401903,0.36812964,0.33761516,0.287634,0.23483449,0.1982504,0.18819211,0.20011361,0.22057648,0.23737241,0.24523695,0.24489675,0.23910902,0.22973423,0.21652101,0.19829576,0.17609553,0.15407853,0.13696635,0.12681283,0.12363747,0.12992992,0.14974223,0.1854236,0.23365955,0.2900372,0.35084268,0.4081441,0.44643864,0.4488351,0.41562614,0.36501813,0.32255962,0.30072966,0.29947564,0.31022727,0.32483354,0.33486485,0.33771873,0.3367757,0.3404354,0.3511863,0.36345217,0.36625755,0.35393062,0.32952872,0.30406308,0.2886832,0.2896336,0.30580887,0.33338377,0.3700384,0.41525826,0.4615829,0.49226245,0.48813424,0.44754782,0.38845477,0.33785012,0.30889586,0.29921225,0.2986268,0.3020675,0.3088865,0.31845173,0.3269215,0.32948336,0.3248898,0.3162956,0.31021544,0.3091643,0.31061986,0.3065317,0.2931781,0.27149573,0.24791713,0.22692543,0.21227096,0.20655645,0.21150146,0.22500966,0.2395253,0.24668592,0.23996513,0.21957822,0.18961532,0.158825,0.13438147,0.12084776,0.11761003,0.1244835,0.14342195,0.17721206,0.2258249,0.28563008,0.35442343,0.42534673,0.4851656,0.51117754,0.49292627,0.43957353,0.37950698,0.33503142,0.31261778,0.30464536,0.30199942,0.30034956,0.29860285,0.299582,0.30588028,0.3199853,0.33857822,0.35709453,0.3701131,0.3764012,0.3762196,0.37268376,0.36917153,0.36807063,0.37036562,0.37753284,0.39553055,0.42609456,0.46190652,0.48236763,0.47373483,0.43758547,0.39359298,0.35871986,0.33943984,0.3306401,0.32633564,0.32303846,0.3199716,0.31688112,0.31395933,0.31182703,0.31188008,0.3155186,0.3227817,0.33065808,0.3337636,0.32853726,0.31633475,0.303187,0.29489636,0.29352522,0.29686022,0.30020773,0.29944858,0.2921621,0.27932024,0.26275542,0.24460353,0.22546238,0.20739846,0.19354004,0.1879576,0.19272405,0.20799546,0.23261704,0.26288912,0.2941805,0.3228718,0.3533571,0.3917763,0.43616763,0.46795782,0.4651589,0.4223462,0.35738054,0.29784977,0.26058856,0.24667437,0.2447859,0.24214138,0.22806871,0.20181668,0.16928633,0.141066,0.122358926,0.113823004,0.11158109,0.112150066,0.11336985,0.1162933,0.12569131,0.14562471,0.17624944,0.21025304,0.23998244,0.26032734,0.2726868,0.2791872,0.28189385,0.2810581,0.27770182,0.27307126,0.26865086,0.26529455,0.26329264,0.26187673,0.25960472,0.255105,0.24847311,0.24149503,0.2368505,0.23678033,0.24119605,0.24722452,0.24972498,0.24516058,0.23372899,0.21965677,0.20740654,0.19963467,0.19663157,0.19782786,0.20159525,0.20525612,0.2053694,0.20008554,0.19005759,0.17849456,0.1690966,0.16544713,0.16966528,0.18150383,0.19694036,0.20974028,0.21605887,0.21728832,0.21955508,0.22712855,0.24037252,0.2549609,0.26724303,0.27448925,0.2766509,0.27440855,0.2703605,0.26726884,0.26729438,0.26964188,0.27079034,0.26621762,0.25371104,0.23525698,0.21546185,0.19863902,0.18606444,0.17695636,0.16961575,0.16338885,0.15792549,0.15282696,0.14648919,0.13701695,0.12447563,0.1126774,0.10895097,0.1187794,0.14200777,0.17062645,0.19432503,0.20491864,0.20059705,0.18395084,0.16042459,0.13526654,0.11296177,0.095631935,0.0835576,0.07529768,0.06945321,0.06495103,0.061438233,0.05862555,0.05618416,0.053682014,0.050803278,0.04758042,0.044342887,0.04157959,0.039590478,0.03843221,0.03789812,0.03770874,0.037571833,0.037359085,0.03711048,0.036983114,0.037134938,0.037899736,0.040477633,0.047184676,0.060739744,0.081777185,0.107331626,0.13119985,0.14711894,0.15102188,0.14233784,0.12421601,0.104175866,0.092089765,0.09485682,0.11121612,0.131854,0.14603688,0.14791356,0.13930096,0.12585185,0.11305044,0.10241156,0.09369418,0.087517045,0.08802533,0.09894536,0.11998897,0.14491372,0.16612911,0.17831545,0.18067364,0.17463398,0.16260459,0.14630598,0.1280333,0.11077857,0.099137664,0.09661654,0.103749275,0.116158575,0.12744911,0.13241512,0.13005303,0.12244808,0.11262231,0.10246399,0.09265038,0.08330777,0.0745847,0.066730924,0.05996648,0.054448206,0.05020438,0.047062162,0.04461747,0.04241476,0.04016641,0.03782669,0.03548884,0.03326152,0.03125551,0.029645205,0.028687174,0.028571099,0.02927838,0.03060128,0.03262037,0.03585443,0.0410991,0.048364803,0.05647989,0.064103104,0.07172827,0.08338508,0.103179544,0.13175748,0.16229711,0.18592347,0.1959982,0.19302326,0.18099624,0.16500783,0.1489554,0.13609727,0.12884001,0.12719841,0.12865065,0.1288598,0.12486884,0.11638189,0.10580951,0.09553465,0.08658126,0.07853151,0.07115221,0.064740844,0.05953485,0.056129742,0.056406632,0.06452832,0.08268512,0.108044125,0.13123,0.14328365,0.14079827,0.1285638,0.11509354,0.1077391,0.109339714,0.11756444,0.127822,0.13599688,0.14081657,0.14228028,0.14039429,0.13480343,0.12602358,0.11565652,0.10541049,0.096223,0.08825771,0.08124986,0.074889414,0.06883712,0.0631038,0.057797667,0.05308393,0.04877622,0.044619262,0.040447254,0.03641611,0.032982435,0.03074102,0.030311385,0.03180062,0.03455535,0.0370221,0.03767717,0.0363493,0.035802066,0.041850995,0.06084158,0.09460366,0.13680653,0.17443012,0.19489704,0.1930694,0.17346396,0.14609118,0.12037157,0.10135909,0.0905078,0.08828192,0.09485254,0.10786756,0.12136129,0.12829421,0.12518889,0.11344472,0.097998,0.084981956,0.08140486,0.09196165,0.1153419,0.14181158,0.15917112,0.16014141,0.14641829,0.12426,0.099863656,0.07760085,0.06227841,0.058075164,0.065898746,0.08054054,0.09410551,0.100467,0.09881512,0.09154054,0.08148936,0.06997795,0.05769902,0.04558676,0.035084277,0.027264757,0.022312164,0.01948636,0.017787999,0.016463505,0.015246913,0.014185938,0.01341219,0.012957572,0.012732853,0.012590088,0.012448137,0.012325347,0.012333113,0.012554142,0.013037874,0.0138123045,0.014979162,0.016614245,0.01863669,0.02134307,0.026002029,0.03501898,0.048976123,0.064950846,0.07733229,0.084540136,0.091613404,0.106779434,0.13254316,0.1627453,0.18734951,0.19976039,0.1998303,0.19155295,0.17910771,0.1641848,0.1459123,0.12417682,0.102839924,0.08957162,0.09148089,0.11037791,0.14243715,0.17994744,0.21514465,0.24149351,0.2563332,0.26023123,0.25671545,0.24925566,0.24051405,0.23178189,0.22422381,0.21932568,0.21872051,0.22239454,0.227929,0.232455,0.23725785,0.24975717,0.27716568,0.31731558,0.35390532,0.36810765,0.35195503,0.31614298,0.2786383,0.25307754,0.24176113,0.24127384,0.2467343,0.25427616,0.2601025,0.26164797,0.25950608,0.25731608,0.25989243,0.26791665,0.27730405,0.28015924,0.27218685,0.25463638,0.23404603,0.21606667,0.20315133,0.19441175,0.18828899,0.18357064,0.17961605,0.17589235,0.17217226,0.16832204,0.16440015,0.16068272,0.15829754,0.15941532,0.16645287,0.1803688,0.19950466,0.21973503,0.23714626,0.25135198,0.26811007,0.29463413,0.32984462,0.35767987,0.35625997,0.3172286,0.25642082,0.20310675,0.17862874,0.18496035,0.20902066,0.23466712,0.25006077,0.25142202,0.24064492,0.22277814,0.20136309,0.1787634,0.1572821,0.13977395,0.12864001,0.12492678,0.13025396,0.14528324,0.16898797,0.19853432,0.23579375,0.2866592,0.35148975,0.41285113,0.4421713,0.42217875,0.3635068,0.29551437,0.24335073,0.21392511,0.20119447,0.19655025,0.19491486,0.19369495,0.19247264,0.19186826,0.19363,0.19881742,0.20814838,0.21948989,0.22895662,0.23077905,0.22348024,0.20940782,0.19477291,0.18333918,0.1766635,0.17385133,0.17409116,0.1767279,0.1816219,0.18980663,0.20218895,0.21841852,0.23471908,0.24583507,0.24672715,0.23596616,0.21565537,0.19173926,0.17060645,0.157645,0.15697102,0.17450719,0.21787399,0.28498372,0.35690114,0.39855433,0.38696066,0.3251836,0.24539346,0.17969966,0.14594944,0.13972299,0.14740348,0.1531577,0.14893931,0.13486008,0.11811673,0.10516695,0.0987348,0.09739498,0.098852016,0.10177321,0.10697708,0.117686816,0.13687292,0.16352724,0.19348656,0.22513945,0.26595205,0.32088825,0.38219404,0.42266035,0.4222344,0.38180983,0.3276352,0.28322965,0.25773317,0.24422579,0.23466654,0.22517778,0.21626912,0.20886588,0.20320754,0.19937664,0.19842684,0.20254819,0.21192147,0.22318314,0.22916909,0.2257207,0.21387936,0.20029832,0.18991633,0.18393241,0.17980985,0.17619312,0.17428146,0.1769815,0.18553694,0.19797255,0.21015699,0.21853857,0.22180207,0.21986806,0.21261412,0.20010696,0.1850347,0.17283659,0.16910677,0.17524888,0.19058116,0.21574585,0.25479037,0.30429634,0.3483541,0.363062,0.33846903,0.2864798,0.23363881,0.19908954,0.18783456,0.19175856,0.20054853,0.20284273,0.19359714,0.17304957,0.14882709,0.12753755,0.11337695,0.1075219,0.11066819,0.122270904,0.13874958,0.15615271,0.17093082,0.18132295,0.18272418,0.1724863,0.15206736,0.13279654,0.12569664,0.13613589,0.15725613,0.17868702,0.19086753,0.19095154,0.1799451,0.16258575,0.14346248,0.12654772,0.112747826,0.10217863,0.094244815,0.08989977,0.08945807,0.09312383,0.09948883,0.10890466,0.122725904,0.1436535,0.17019401,0.19679,0.21415828,0.21589708,0.20234855,0.18173389,0.16570693,0.16116358,0.16762315,0.1782405,0.18679887,0.18960275,0.18646844,0.17877366,0.16891468,0.15889508,0.14941438,0.14041333,0.13214408,0.12536302,0.11958513,0.112512566,0.102249734,0.09070128,0.08388866,0.086852945,0.098697126,0.113313906,0.12632953,0.1403889,0.15963745,0.1828354,0.19935234,0.20120525,0.18869175,0.17238612,0.16067015,0.15629847,0.1563552,0.1585499,0.16182752,0.16539122,0.16796269,0.16940038,0.1721831,0.18301184,0.21127157,0.26500952,0.33811185,0.40788472,0.44297373,0.43069044,0.3845959,0.3363727,0.3080475,0.30361548,0.31273663,0.32444993,0.33195192,0.3328845,0.32754478,0.31738213,0.30527797,0.2941861,0.2878016,0.2853087,0.28298604,0.27327773,0.2550815,0.23134518,0.21014221,0.194704,0.18552601,0.17907067,0.17319594,0.16737457,0.16449003,0.16843899,0.18040507,0.196312,0.20823045,0.21064435,0.2034386,0.19213825,0.18388404,0.18624383,0.20584804,0.24437869,0.29710412,0.35310864,0.40642366,0.45202842,0.48446068,0.4877516,0.45361868,0.38932833,0.32239,0.2769369,0.26125547,0.26371494,0.26498747,0.25059718,0.22038694,0.19171931,0.18518388,0.21021189,0.2538716,0.29669252,0.32538143,0.3416325,0.35051072,0.35458204,0.35481367,0.3553659,0.36483455,0.38826832,0.42646942,0.47047266,0.5058591,0.51318306,0.48414698,0.42786047,0.36958727,0.3308913,0.31835827,0.32436302,0.33845028,0.35347173,0.36485103,0.3689842,0.36399552,0.35258245,0.34010732,0.33224627,0.32945094,0.32929814,0.32653582,0.31937265,0.30612096,0.2878494,0.26473287,0.24014068,0.21700394,0.19792835,0.18291973,0.17240238,0.16843458,0.17330153,0.18669903,0.20347281,0.2163636,0.21842724,0.20715828,0.18619128,0.16648827,0.16378285,0.18884535,0.24086279,0.30506957,0.36639977,0.41589805,0.45125914,0.4663566,0.4530318,0.41162133,0.35720408,0.3117397,0.2879584,0.28614327,0.29796568,0.31595936,0.33159637,0.33932376,0.3343993,0.31931162,0.29729545,0.27352944,0.24975812,0.22711934,0.2054047,0.18586467,0.17498767,0.18152128,0.21264426,0.2657696,0.33344796,0.40553197,0.4699296,0.51011777,0.51132965,0.47573543,0.42245814,0.3763421,0.3481256,0.33536902,0.33002737,0.32824066,0.32859984,0.33008397,0.33122495,0.33170262,0.33176303,0.33027473,0.32363275,0.30581474,0.27267912,0.22480911,0.17126866,0.12375025,0.09211206,0.07889182,0.084136814,0.1079812,0.15024169,0.20545678,0.2616836,0.3066354,0.332584,0.3391221,0.33044466,0.31552827,0.30416545,0.30283263,0.30918854,0.31726217,0.3236818,0.332515,0.34997734,0.3804672,0.42378154,0.47156644,0.50711346,0.510375,0.47617528,0.41889194,0.3654153,0.33295032,0.32267675,0.32245544,0.31999382,0.30722558,0.28492606,0.25833473,0.23535062,0.21953881,0.2110418,0.20665038,0.2028509,0.19695868,0.1896383,0.18738067,0.1985297,0.22678941,0.267516,0.31415406,0.36537257,0.41854402,0.4616636,0.4718932,0.43921125,0.37648073,0.3154575,0.27897215,0.27101088,0.28002515,0.29402098,0.3061868,0.31479797,0.3203473,0.32411084,0.32751608,0.33059728,0.33131334,0.32304242,0.29843643,0.25319225,0.19423676,0.13515517,0.09024239,0.06454931,0.056646403,0.062410295,0.07898888,0.10308871,0.13083047,0.16128834,0.19668646,0.23881853,0.28179982,0.31534925,0.33256173,0.3370783,0.3384508,0.34286162,0.34860614,0.3492448,0.342945,0.3368206,0.34576425,0.37761262,0.42213216,0.45000932,0.4369103,0.38272586,0.31428787,0.2614834,0.23819287,0.23926544,0.25041625,0.2599984,0.2622819,0.2632966,0.27261436,0.2974253,0.3289679,0.35097444,0.34880176,0.32331467,0.28729382,0.25803462,0.2486067,0.2621146,0.2939501,0.33338666,0.3751422,0.41551378,0.45129752,0.4689965,0.45810428,0.41973042,0.3732957,0.33963707,0.3284725,0.33491632,0.34868288,0.36135745,0.36846402,0.36905876,0.36467203,0.35842228,0.3522433,0.34612718,0.33665213,0.31999215,0.29346249,0.26012176,0.22629869,0.19871616,0.17944628,0.16736375,0.16049679,0.15754747,0.15719067,0.15820871,0.16118489,0.16769123,0.17752172,0.18650104,0.18966652,0.18542533,0.17728679,0.17145814,0.1740975,0.19091451,0.22371423,0.2694299,0.31932136,0.36808404,0.4151236,0.4588649,0.4865693,0.4792979,0.4313818,0.359941,0.29605225,0.2602024,0.2530035,0.2567993,0.252504,0.2297867,0.19849677,0.17993896,0.19314678,0.2359343,0.28811812,0.32699597,0.3430804,0.34203878,0.33373845,0.3258725,0.3211925,0.3215444,0.32965326,0.34849253,0.38129342,0.42146286,0.4541408,0.45633566,0.42147732,0.36151353,0.30502465,0.27035525,0.26079258,0.26609126,0.27657452,0.28625026,0.2931229,0.29678386,0.29811677,0.29894552,0.30076373,0.30345416,0.3019448,0.28883895,0.2575248,0.21149796,0.16120528,0.11996115,0.09321772,0.08063716,0.07836431,0.08356231,0.09295756,0.102491766,0.10914566,0.1113311,0.109470725,0.10365817,0.09683716,0.09387785,0.101956226,0.12475226,0.16253372,0.21082318,0.2632995,0.3136343,0.35968876,0.40555024,0.45185432,0.4895111,0.4979434,0.46775234,0.409098,0.3498114,0.30985585,0.29294574,0.28862453,0.28657684,0.28212443,0.27761152,0.2792503,0.29170677,0.31407776,0.3381141,0.3562031,0.3640531,0.36382687,0.3570591,0.34586453,0.33136216,0.31654146,0.3062658,0.3076688,0.33080128,0.3752648,0.42601386,0.45144916,0.4337347,0.37891677,0.31808403,0.2759137,0.25990185,0.26027843,0.2662958,0.27201566,0.27621552,0.27910113,0.280827,0.28222263,0.2841247,0.28721556,0.28761378,0.27834487,0.25138274,0.20795964,0.15753488,0.11423913,0.085664034,0.072743535,0.07247447,0.08195657,0.09789989,0.11472881,0.12754647,0.132921,0.13129407,0.1233613,0.11175248,0.09862378,0.086984485,0.07924808,0.08031048,0.09866067,0.14029913,0.20364083,0.27593824,0.3468137,0.40903923,0.4586054,0.48184812,0.4674212,0.41725624,0.35462308,0.30607143,0.28424713,0.28262416,0.28381452,0.27277234,0.24162643,0.19554782,0.14604805,0.10662913,0.082064636,0.07068912,0.06643036,0.06493562,0.06478685,0.069078155,0.08549439,0.12000638,0.17283058,0.23557295,0.3020685,0.3677863,0.42719808,0.4634041,0.46040857,0.41791537,0.35861424,0.31074807,0.28900322,0.28956294,0.30043626,0.3123794,0.32144764,0.32722637,0.3303288,0.33211765,0.33320054,0.33276603,0.3263502,0.3073183,0.27011386,0.21674158,0.15780522,0.10744628,0.07480703,0.060533136,0.060309142,0.06952589,0.084899835,0.102460645,0.11732483,0.124806665,0.12277988,0.11191801,0.09637008,0.082169674,0.07488507,0.0767177,0.087128125,0.10733644,0.14016263,0.18774725,0.246704,0.31311834,0.38353357,0.45067224,0.49647054,0.499581,0.4563987,0.38893333,0.33181703,0.30497298,0.30437624,0.3082553,0.29532406,0.2551174,0.19411345,0.1289614,0.07715627,0.045755148,0.031745385,0.027070818,0.025622591,0.024540156,0.0232507,0.021844208,0.020507187,0.019474162,0.019659063,0.023181476,0.033015803,0.050047606,0.07075622,0.087267734,0.09267416,0.085328095,0.070361234,0.05551675,0.047515705,0.04889542,0.058048487,0.06963829,0.07784673,0.079028666,0.07371098,0.06524187,0.058120925,0.05667251,0.06362953,0.078706615,0.09728259,0.11321605,0.122170664,0.12425993,0.12221366,0.11898782,0.11633266,0.1143899,0.11199314,0.10672323,0.09731754,0.08473813,0.07227908,0.062703304,0.05688272,0.053774815,0.05203737,0.050838698,0.049892593,0.0490807,0.04824336,0.04723106,0.046037,0.044881284,0.044123318,0.044004947,0.04450131,0.04537033,0.04639132,0.04747643,0.048628077,0.0497983,0.050875828,0.051777884,0.05253161,0.053260315,0.054070454,0.055027023,0.056236997,0.05884621,0.06579834,0.081507385,0.107207954,0.13773073,0.16265331,0.1761807,0.18221565,0.19117469,0.20815785,0.22943032,0.24668674,0.2551984,0.25422576,0.2452938,0.23032193,0.2132207,0.19860919,0.19025086,0.18939905,0.19547792,0.2058044,0.21480733,0.21556449,0.20349,0.18079464,0.15550067,0.13814397,0.13555752,0.1486661,0.17161326,0.19612253,0.21470965,0.22469182,0.22692172,0.22505496,0.22193174,0.21929266,0.21635146,0.21184836,0.20562945,0.20066522,0.2010805,0.20779431,0.21556564,0.21545039,0.20153804,0.17554747,0.14602716,0.12275616,0.11200285,0.11411172,0.12490211,0.1380598,0.1488057,0.155645,0.16003734,0.16372824,0.16605157,0.1637023,0.15312652,0.1354071,0.11867859,0.11590599,0.13629691,0.17805594,0.22696643,0.26501322,0.2805173,0.2742162,0.25559583,0.23468673,0.21552001,0.19594187,0.17353559,0.15084362,0.1355763,0.13422531,0.14642854,0.1651568,0.18290968,0.19676572,0.20782797,0.21715897,0.2236488,0.22542246,0.22168793,0.21233611,0.19805695,0.1804697,0.16307454,0.14771354,0.13374276,0.11836394,0.101685785,0.08689499,0.07865998,0.079385884,0.0882473,0.10162625,0.11391594,0.12031376,0.118509926,0.11049176,0.100940205,0.096444435,0.1037921,0.12711544,0.16417049,0.2047372,0.23579688,0.24874566,0.24433576,0.23025681,0.21493758,0.20265931,0.19199447,0.17903125,0.16032887,0.13646479,0.11099473,0.08880129,0.072474584,0.06198828,0.055324182,0.05059363,0.046647,0.0432065,0.04033132,0.038264666,0.037563536,0.03943244,0.04552765,0.05637114,0.069962405,0.08177984,0.08775621,0.086628675,0.08059589,0.07284817,0.06574254,0.059937302,0.055227656,0.0510713,0.047067944,0.042998973,0.038967986,0.035532635,0.03397162,0.036378697,0.04438509,0.05758063,0.07227065,0.08352854,0.087815344,0.08529836,0.07897037,0.07295058,0.07068039,0.073317714,0.07923555,0.084183775,0.08450022,0.0789599,0.06998428,0.061403956,0.05721396,0.0597709,0.068897195,0.08118284,0.09132237,0.09526219,0.0922704,0.085116714,0.07784331,0.0741022,0.07521937,0.079743214,0.08372628,0.08356959,0.07814171,0.06959551,0.061512817,0.057331562,0.059228238,0.067101486,0.07797449,0.08643815,0.08809054,0.08192659,0.07111237,0.06026761,0.05372037,0.054203477,0.062184673,0.07489482,0.08673101,0.09246721,0.09017372,0.082148194,0.07215319,0.06304961,0.055619042,0.049560506,0.044300646,0.03952494,0.035097018,0.030981993,0.027140787,0.023481602,0.019897535,0.016344983,0.012924683,0.0098301405,0.007240359,0.005210841,0.0036790734,0.0025353527,0.0016906572,0.0010898827,0.00068722985,0.00043251133,0.0002751183,0.00017777679,0.00012105554,9.864512E-05]