[0.009393883,0.0086635845,0.007307075,0.0061018225,0.005486076,0.005414532,0.0055645197,0.0056761005,0.005619554,0.0053673293,0.005025783,0.0051143393,0.0069746044,0.013315794,0.028133392,0.055633083,0.09724464,0.14884304,0.200363,0.23997092,0.2600248,0.26067227,0.24879414,0.23350418,0.22192854,0.21689785,0.21762742,0.2217757,0.2274502,0.23376636,0.24041204,0.24650574,0.24973528,0.24538709,0.22894073,0.19950247,0.16372862,0.13303104,0.11770266,0.120979786,0.1382127,0.16137631,0.18304823,0.20001201,0.21204996,0.22096007,0.2277481,0.23193474,0.23215114,0.2277553,0.21999508,0.21063197,0.20056559,0.18911572,0.1756358,0.16072373,0.14927983,0.151127,0.1807669,0.2421213,0.31985483,0.3769728,0.38525632,0.34252462,0.2775599,0.22048177,0.18696742,0.17358895,0.17159472,0.17368841,0.1764286,0.17844962,0.1794724,0.17952,0.17827266,0.17521904,0.17021497,0.16358608,0.15591349,0.14761198,0.13921587,0.13148178,0.12528382,0.12109315,0.11873469,0.11773381,0.11775157,0.119196005,0.122706115,0.12829694,0.132926,0.1313294,0.118299216,0.094453454,0.06581321,0.040976133,0.024404451,0.015898682,0.012115414,0.010361678,0.009289672,0.008654878,0.008408167,0.008438497,0.008553295,0.008564514,0.008543909,0.010974002,0.02179269,0.05051903,0.10064238,0.16514225,0.22357337,0.2587408,0.26374146,0.24735661,0.21998982,0.19193874,0.17297171,0.17970377,0.22182874,0.29049948,0.35182595,0.37510693,0.35232535,0.3055698,0.26075467,0.23166323,0.2149319,0.20210268,0.18741143,0.17102706,0.15763068,0.15327747,0.1606719,0.1761745,0.19050105,0.19510223,0.18755536,0.1734397,0.16076027,0.15462314,0.15415275,0.15570673,0.1559396,0.15418613,0.15125729,0.14837898,0.14617188,0.14550497,0.14821488,0.15734605,0.17458253,0.19812594,0.2215852,0.2379949,0.24334975,0.23944475,0.231046,0.22282791,0.21632433,0.2110601,0.20665354,0.20480955,0.20763166,0.21511962,0.22337423,0.22745311,0.22345984,0.21026361,0.18755825,0.15737064,0.1248754,0.099148236,0.08834941,0.09493872,0.113366105,0.13399869,0.15094204,0.1684054,0.19923295,0.25243232,0.31987777,0.37617025,0.39638233,0.37584153,0.33203748,0.28877434,0.2590576,0.24266894,0.23437025,0.23134847,0.2336391,0.24047388,0.24855848,0.25373647,0.25393608,0.25059837,0.24626487,0.24231106,0.23723531,0.22968042,0.2199129,0.21156287,0.20828627,0.21199809,0.22046922,0.2292399,0.23373057,0.23211467,0.22580063,0.21791016,0.21030945,0.20172054,0.18923835,0.17195351,0.15311123,0.13778163,0.12936814,0.1279627,0.13209613,0.13998742,0.15011562,0.16139697,0.17401367,0.18902002,0.20680708,0.22551858,0.24148063,0.250283,0.2495348,0.24078162,0.23052864,0.22494252,0.22468936,0.22223645,0.20935439,0.18296488,0.14850734,0.11601416,0.09900811,0.1114735,0.1610242,0.23797132,0.31498408,0.36180428,0.36681846,0.34091732,0.305684,0.27515888,0.25352058,0.23914172,0.23087384,0.22672234,0.22436585,0.22160274,0.21851276,0.21584438,0.21416867,0.21272011,0.21092267,0.20864916,0.20670618,0.20566773,0.20563315,0.20586626,0.20562111,0.20478863,0.20468058,0.20778365,0.21638025,0.23052835,0.24716537,0.26129305,0.2687399,0.26768965,0.2599388,0.25001875,0.24411939,0.24498785,0.24920563,0.24888377,0.23948164,0.22475761,0.21312314,0.210755,0.21723174,0.22928667,0.24329095,0.25720203,0.26800227,0.27336165,0.2715094,0.2646499,0.25571743,0.24847622,0.24267237,0.23738603,0.23070796,0.22381134,0.2191401,0.22203545,0.23900174,0.2753706,0.3267511,0.37712678,0.40459886,0.39859998,0.36546615,0.32413828,0.28996277,0.26924977,0.25959608,0.25685015,0.2571375,0.25835577,0.25936007,0.26054,0.26263055,0.26639912,0.2711203,0.27552018,0.27812245,0.27884567,0.27788445,0.27571744,0.27260235,0.2696027,0.2678858,0.2676195,0.2676276,0.26646924,0.26427874,0.2617925,0.25854442,0.25032887,0.23187767,0.20033187,0.16001545,0.11941024,0.087165885,0.0660168,0.054937065,0.05217078,0.06018579,0.08250199,0.12020429,0.16699022,0.21357493,0.25080398,0.27474916,0.28434435,0.28361034,0.28007928,0.2845039,0.30100903,0.32474527,0.3425565,0.34617493,0.3339915,0.31027642,0.27645415,0.23573183,0.19763838,0.18126063,0.20084207,0.2537258,0.3154843,0.35913554,0.37107742,0.3586428,0.33641207,0.31521043,0.29782635,0.28383607,0.27353284,0.26796046,0.26773456,0.27108172,0.27470315,0.27575698,0.2749131,0.27588704,0.2819984,0.29236075,0.30205342,0.3060235,0.30273023,0.29422233,0.28331158,0.27188864,0.26162332,0.25539508,0.25602758,0.26379922,0.2750965,0.2847525,0.28894016,0.28710946,0.28107736,0.2743337,0.27044603,0.27160785,0.27608895,0.27868676,0.27428362,0.2627686,0.24954295,0.24137194,0.24092247,0.2452516,0.24835359,0.24555989,0.2361893,0.22306333,0.20983164,0.19840117,0.18886529,0.180175,0.17075716,0.1579871,0.13980024,0.116586916,0.09494641,0.08668841,0.10702247,0.16141485,0.23872797,0.3087598,0.34431276,0.33677313,0.302042,0.2618526,0.22989653,0.20787652,0.19284345,0.18252067,0.1756017,0.17115317,0.16803442,0.16539203,0.16225757,0.15783668,0.15204205,0.14573367,0.14022124,0.13619834,0.13362579,0.13198872,0.1309474,0.13016188,0.12938993,0.12836494,0.1270946,0.1257921,0.12532957,0.12693602,0.13094662,0.13426769,0.13095476,0.11571008,0.08953652,0.059342325,0.03386095,0.01733792,0.009103735,0.0057301293,0.0044860817,0.00392813,0.003578639,0.0032338134,0.0028461826,0.0024509272,0.0021192578,0.001884177,0.0017398737,0.0016544168,0.0016073332,0.001599454,0.0016555506,0.0017896473,0.0019655423,0.0020738256,0.0019885227,0.0036711646,0.013588265,0.043428373,0.100723,0.17784119,0.24879597,0.28594744,0.2795137,0.24222,0.19498144,0.1509581,0.11354063,0.08216301,0.057332728,0.039428756,0.02759187,0.020018747,0.01518334,0.012126163,0.010221741,0.00899787,0.008134598,0.007827277,0.009524505,0.016577335,0.033037707,0.06080021,0.096690156,0.13337797,0.1634176,0.18353866,0.19516964,0.20207392,0.20799677,0.21551283,0.22592582,0.23810454,0.24890323,0.2542827,0.25297835,0.24722247,0.24148588,0.23854293,0.2382288,0.23841392,0.2365434,0.23023368,0.21849544,0.20420098,0.19504352,0.19890682,0.2178693,0.2455196,0.2717509,0.28927436,0.2961956,0.2939825,0.2834741,0.2652024,0.24171667,0.220149,0.20929551,0.21559234,0.23984759,0.2800053,0.3291602,0.37691057,0.40719756,0.4109273,0.38874292,0.35350433,0.31602478,0.28223073,0.2523881,0.22928463,0.21850596,0.22522938,0.24810885,0.27808097,0.30342212,0.3170673,0.32015705,0.3185171,0.31728113,0.3177862,0.31906605,0.31897378,0.3158114,0.30804372,0.29646614,0.28322983,0.2714902,0.2634292,0.26127863,0.2675319,0.28249812,0.30207634,0.31851298,0.32726762,0.32992706,0.3309007,0.33013022,0.3216603,0.30036154,0.26773646,0.2330209,0.20729627,0.19844426,0.20730114,0.22714083,0.2477024,0.26038805,0.26328933,0.25982395,0.25578618,0.25583723,0.26000407,0.26413718,0.260243,0.24479936,0.21914186,0.19067685,0.16524453,0.14951043,0.14997293,0.17506002,0.22223373,0.27713788,0.3139002,0.31940886,0.29525056,0.25978774,0.22619714,0.20178162,0.18488365,0.17397504,0.16720968,0.1635701,0.16184177,0.16079725,0.15950865,0.15755641,0.15514694,0.15275383,0.15077014,0.14946862,0.14907758,0.14950977,0.1502041,0.15023462,0.14925867,0.14825302,0.14974643,0.15688063,0.17225139,0.19727977,0.23030107,0.26644096,0.29708454,0.31539845,0.31842574,0.30937132,0.29323053,0.27406302,0.25211772,0.2256968,0.19610246,0.17231874,0.16731025,0.18836123,0.22914648,0.27429536,0.30896118,0.32517734,0.32089984,0.29725206,0.2605768,0.22222282,0.19678085,0.19205523,0.2053526,0.22354479,0.23443228,0.23434865,0.2318991,0.24083285,0.27122155,0.31971982,0.37078527,0.40399265,0.40989593,0.3921733,0.36373815,0.33349696,0.30553594,0.2807642,0.26135466,0.24974565,0.24794407,0.25689295,0.27583346,0.30067924,0.3251764,0.34276792,0.35022888,0.34728956,0.33690247,0.32264695,0.30850515,0.29714006,0.2904602,0.28906205,0.29272208,0.30068967,0.312382,0.3275993,0.3449298,0.36008692,0.36611354,0.35745272,0.3348488,0.3053691,0.27684057,0.25137928,0.2257484,0.1972511,0.16927373,0.15044355,0.14846462,0.16416185,0.18996398,0.21461363,0.22952114,0.23259073,0.2267149,0.21697496,0.20874558,0.2078142,0.21615998,0.22987586,0.23782372,0.23201554,0.21153879,0.18458445,0.15746723,0.134813,0.12098279,0.12868576,0.16793007,0.23711939,0.31316695,0.37031636,0.39267847,0.3858867,0.36313593,0.33823192,0.31744954,0.30321193,0.29409614,0.2880793,0.28356102,0.28023422,0.27780986,0.2756785,0.2743623,0.27656516,0.2851286,0.29996577,0.31620777,0.3276707,0.32905805,0.3193641,0.30059242,0.2792715,0.26256287,0.25611326,0.26053086,0.27411476,0.29475105,0.31940356,0.34256324,0.35696292,0.35962567,0.35289112,0.3428613,0.33291224,0.322916,0.31006643,0.2923385,0.27036598,0.24794424,0.2311173,0.22472608,0.22986506,0.24294265,0.25764266,0.268173,0.27080724,0.26551807,0.2547684,0.24331133,0.23545624,0.23350626,0.23600662,0.23849721,0.23625346,0.22974192,0.22734839,0.243963,0.28676298,0.34717247,0.3988055,0.4198618,0.40520754,0.37112752,0.3359805,0.31048295,0.29338968,0.2797556,0.2649128,0.24742393,0.22859545,0.21158653,0.19909497,0.19187982,0.1888435,0.18811207,0.18836947,0.18966824,0.19411318,0.20425804,0.22118397,0.2426961,0.26515874,0.28525054,0.30094135,0.31046957,0.31334057,0.312602,0.31497356,0.32527697,0.34093127,0.35212198,0.35066572,0.33599272,0.3146442,0.2930404,0.27417052,0.25948903,0.2514194,0.25338662,0.26552606,0.28431877,0.30295956,0.31656262,0.3225211,0.3211265,0.3140673,0.30602112,0.3055286,0.3162587,0.33206537,0.33364794,0.30851972,0.25747594,0.19837137,0.14637686,0.11212122,0.10090193,0.12289957,0.18197615,0.26855752,0.35275635,0.4065576,0.41772857,0.3990319,0.3699278,0.34559095,0.33002225,0.32273486,0.32173097,0.32535067,0.33121765,0.33724657,0.34181818,0.344287,0.34354806,0.33822265,0.32763532,0.31387106,0.3015655,0.29492155,0.29506302,0.29922247,0.3037585,0.30611137,0.30610725,0.3045971,0.30326998,0.30406502,0.30878833,0.31630436,0.32238933,0.32110345,0.3106562,0.293721,0.27635977,0.26259017,0.25435272,0.25094506,0.25078678,0.25115037,0.25032875,0.2481749,0.24579841,0.2432028,0.23897462,0.23152502,0.22053255,0.20683599,0.19112875,0.1733139,0.15257525,0.12884842,0.10416341,0.08294671,0.06952999,0.064818196,0.067497455,0.07903117,0.10867629,0.16414142,0.23958491,0.30945188,0.34718442,0.34425473,0.31608203,0.28465423,0.26242656,0.24884254,0.2384483,0.22768934,0.21628453,0.20558287,0.19708224,0.1916961,0.18932049,0.18911952,0.18943651,0.18848033,0.18481201,0.17853157,0.17113364,0.16454291,0.15966846,0.15621202,0.15350385,0.15108569,0.14872093,0.14716329,0.14896984,0.15883256,0.17748487,0.1993715,0.21166985,0.20643722,0.18392353,0.15434666,0.1265874,0.10573289,0.09143576,0.08255941,0.0776893,0.07569598,0.07544255,0.07608906,0.07713582,0.0781478,0.07868696,0.07930538,0.082998864,0.09557123,0.12125143,0.15649788,0.1881236,0.20097493,0.18931969,0.1603052,0.12767303,0.102608,0.09357644,0.1089848,0.15617476,0.22850859,0.30197296,0.34379208,0.33928254,0.2982256,0.24779342,0.20753099,0.18393642,0.17238252,0.1678207,0.16671503,0.16727321,0.16829617,0.16905846,0.16924822,0.16882421,0.16792645,0.16669826,0.16504379,0.1627459,0.15990172,0.15696649,0.15454607,0.15278439,0.15137643,0.14985122,0.1480187,0.14718427,0.15034115,0.1619849,0.18233152,0.20519023,0.21772575,0.21200676,0.18995832,0.16486573,0.15017301,0.1531679,0.1716258,0.19825749,0.22603166,0.25193062,0.27670574,0.30056214,0.3200936,0.32872638,0.32051754,0.29367623,0.25232875,0.20607193,0.16769816,0.14805633,0.15149748,0.17311732,0.20202082,0.2268909,0.24142687,0.24609582,0.24686654,0.2538189,0.27524778,0.31087387,0.34681344,0.36395955,0.35205147,0.31734464,0.2759336,0.2409581,0.21720071,0.20301755,0.1949218,0.18973641,0.18528455,0.18165147,0.18059488,0.18507706,0.1961952,0.21202765,0.22666554,0.23387492,0.23056573,0.21973956,0.20803581,0.20249169,0.20671503,0.22040261,0.2393446,0.25752786,0.26991633,0.2755499,0.27877805,0.28456542,0.29393622,0.30057585,0.29811338,0.28514683,0.26831225,0.25465205,0.24763733,0.24558859,0.24607587,0.24675864,0.24601321,0.24204761,0.23504241,0.22659588,0.21906698,0.21351385,0.21075444,0.21173395,0.21717693,0.22585964,0.2351707,0.2426288,0.24744956,0.24969848,0.25027815,0.25008306,0.25057217,0.25377643,0.26439986,0.2894287,0.32960013,0.37341723,0.39746916,0.3874602,0.34661043,0.29560307,0.2510548,0.2225514,0.21364582,0.23242156,0.27898154,0.34053072,0.38747045,0.40041372,0.3783193,0.34177586,0.3072972,0.28123406,0.25836292,0.23504645,0.21154885,0.1914748,0.17743646,0.16976015,0.16662402,0.16568334,0.1653351,0.1661985,0.17079592,0.18300486,0.20290588,0.22494917,0.23779154,0.23397706,0.2140621,0.18690628,0.16026454,0.13721031,0.11784289,0.10515567,0.10654049,0.12796114,0.16832809,0.216887,0.26061496,0.2904042,0.3060768,0.31172642,0.3126417,0.310755,0.3067038,0.29855525,0.2840994,0.25961098,0.22562994,0.1888652,0.1641408,0.16502178,0.19733126,0.25409126,0.32266268,0.38666463,0.432152,0.44673586,0.4306197,0.3944155,0.3572857,0.3308181,0.3173643,0.31062397,0.30499646,0.297879,0.29052818,0.285498,0.28451815,0.2869986,0.29114106,0.29643452,0.3047228,0.3180336,0.33506942,0.35112083,0.36089754,0.36250055,0.35746753,0.34901753,0.33965924,0.33084735,0.32388553,0.32069644,0.32353118,0.33219302,0.34229684,0.3466728,0.34087086,0.32656106,0.30911794,0.29236326,0.27630773,0.26100123,0.24887694,0.24412,0.24746005,0.25594568,0.2644293,0.27028525,0.2736806,0.27816117,0.2878207,0.30601636,0.3316443,0.36010182,0.38438347,0.39992866,0.40497217,0.40079424,0.38911262,0.37127402,0.3476617,0.32051465,0.2966335,0.28909817,0.3045931,0.3366244,0.36041284,0.3583319,0.32807872,0.2890743,0.2571886,0.24179661,0.24311371,0.26526114,0.3084844,0.36484587,0.4137012,0.43827203,0.43504754,0.41638115,0.39465654,0.37374708,0.34990442,0.32176292,0.2960951,0.2822727,0.2856512,0.3024164,0.3250328,0.34605214,0.3615174,0.36956963,0.3708003,0.3687043,0.36794364,0.37071422,0.37414947,0.372581,0.3623273,0.3437747,0.3205171,0.29610038,0.27314878,0.25243032,0.23476084,0.22244173,0.22093485,0.23428865,0.26074708,0.29079458,0.3144194,0.32701552,0.33084485,0.32980123,0.325101,0.31530225,0.2974297,0.2700492,0.23427814,0.1970404,0.16991891,0.165148,0.18926354,0.23915167,0.30516922,0.37222847,0.42572033,0.45173416,0.44683182,0.41626236,0.37339732,0.32843322,0.2877775,0.25380188,0.22807603,0.21054707,0.19935793,0.19237363,0.1881655,0.18659995,0.18885721,0.19817,0.21853667,0.25114408,0.29116884,0.3286558,0.3530755,0.3577368,0.34188464,0.3102955,0.2719812,0.23682834,0.21244864,0.20219778,0.20622586,0.22198598,0.24258347,0.2572671,0.2552226,0.23423256,0.20210908,0.17369469,0.16187203,0.17198868,0.199721,0.23397803,0.26522186,0.2903575,0.31201172,0.33123374,0.34409615,0.34490907,0.33002305,0.30076563,0.26239988,0.22532503,0.20140882,0.19898038,0.21666853,0.2447746,0.27144524,0.28992248,0.29985055,0.30564985,0.31296477,0.32892433,0.35722545,0.39543676,0.43071947,0.44967762,0.44589838,0.42574313,0.3995674,0.3746772,0.35216126,0.33075127,0.3103555,0.2917641,0.27534175,0.2598088,0.24425001,0.22959556,0.21837614,0.21242587,0.21200687,0.21762873,0.23146665,0.254739,0.2833018,0.3066935,0.31451443,0.3038847,0.28161728,0.25827676,0.24216752,0.23730028,0.24634504,0.26879284,0.2992767,0.32562593,0.3378565,0.33323845,0.31911206,0.30398998,0.29327157,0.28647736,0.28216216,0.27958867,0.2794073,0.2804009,0.2790803,0.2727406,0.26437664,0.262477,0.2737489,0.29583117,0.31808293,0.3305451,0.3306484,0.32293296,0.31328717,0.30713937,0.30853876,0.31978086,0.33838645,0.3591877,0.37984297,0.40179825,0.424608,0.43810928,0.42867598,0.3907483,0.33515087,0.2817575,0.24721079,0.23677303,0.24460368,0.25964847,0.27238664,0.27899417,0.28076506,0.27992406,0.2776036,0.27433598,0.2718254,0.2716339,0.2731804,0.27382097,0.27157643,0.2675042,0.2644817,0.2646581,0.2677221,0.27215144,0.276628,0.2817043,0.28899536,0.30060554,0.31447795,0.32474068,0.32254001,0.30535397,0.2777572,0.25046745,0.23032318,0.21831758,0.2102676,0.20376468,0.20013666,0.20276274,0.2114227,0.22096372,0.22438572,0.21870667,0.2061121,0.19193214,0.18034868,0.17316204,0.16872986,0.164118,0.15660225,0.14692767,0.13775219,0.13190876,0.12956369,0.13192043,0.14407443,0.17584531,0.23127027,0.2998774,0.35610136,0.37702945,0.3589394,0.31968352,0.28194892,0.25829402,0.2508676,0.26098415,0.29216787,0.3397248,0.3848274,0.40105164,0.37685332,0.32272327,0.26537034,0.22548969,0.21014708,0.21266629,0.22328293,0.23405606,0.2418397,0.24677344,0.25013527,0.25188506,0.2500609,0.2425022,0.23067684,0.22051884,0.2211218,0.2346282,0.25435165,0.2638819,0.25433028,0.22706626,0.19604605,0.17142105,0.15785284,0.15436083,0.1623522,0.18423432,0.21855402,0.2575091,0.2893494,0.30625412,0.30662632,0.29725954,0.28711614,0.2848958,0.29041258,0.29765096,0.29591206,0.2808124,0.25476882,0.22904807,0.21597363,0.22359739,0.25013104,0.2866286,0.32519567,0.36249235,0.3972219,0.42315677,0.43248132,0.4230094,0.40216944,0.380736,0.36421132,0.3515105,0.3395516,0.32950076,0.326812,0.33754587,0.3626076,0.3966681,0.4301097,0.45407668,0.46280065,0.45546326,0.43476245,0.40576747,0.37258756,0.3378221,0.30270818,0.26977438,0.24255909,0.22414322,0.2143529,0.21190071,0.2177514,0.23849408,0.27817297,0.33234164,0.38374078,0.41708493,0.42533076,0.4132118,0.3847812,0.34324065,0.29319748,0.2471352,0.220692,0.22399707,0.25378028,0.29330432,0.32153058,0.3261235,0.31207004,0.29567602,0.2914271,0.30045345,0.31500652,0.3255873,0.32747746,0.3167187,0.29223117,0.25931597,0.23322617,0.22999872,0.25503254,0.29827872,0.34257528,0.37428394,0.38908944,0.38997138,0.38339493,0.37565187,0.37130067,0.3724686,0.3792229,0.38992044,0.40165377,0.41146326,0.4174062,0.41936314,0.41807544,0.41528082,0.41274154,0.41230702,0.41343412,0.41432652,0.41230896,0.40755105,0.40151027,0.3968332,0.39346728,0.38943872,0.38081208,0.36603034,0.34794724,0.33377388,0.3307971,0.34045267,0.3576188,0.3722578,0.3772954,0.37079397,0.35792184,0.34483775,0.33505288,0.32586476,0.31170735,0.28961825,0.26360917,0.24350397,0.23779237,0.24787478,0.26644376,0.28422615,0.2950643,0.2991012,0.29883102,0.29727146,0.29523078,0.29260376,0.28819224,0.28287378,0.2791517,0.2810005,0.28979385,0.30596507,0.3293885,0.36181208,0.39981624,0.43454912,0.45256522,0.45005393,0.433597,0.417442,0.4088131,0.40667018,0.4042276,0.3969125,0.38399997,0.36763275,0.3507438,0.33511403,0.3211201,0.30852687,0.29840434,0.2945833,0.30232978,0.3259295,0.36146483,0.39574924,0.40920046,0.39174342,0.34909418,0.30158314,0.26789,0.25769332,0.26961702,0.29762074,0.3312844,0.3588047,0.36855733,0.35719442,0.32912838,0.29508957,0.2633661,0.23826969,0.21961081,0.20760806,0.20530593,0.21832065,0.24936755,0.29306772,0.33665845,0.36746812,0.3796271,0.37534508,0.36070332,0.3422754,0.3236096,0.30455962,0.28144756,0.25208262,0.21863973,0.18811388,0.16774435,0.16237287,0.17494251,0.20769875,0.2613858,0.3265649,0.38431063,0.41062376,0.398234,0.35741648,0.31349078,0.28364787,0.27578744,0.28550866,0.30647838,0.32972583,0.34868518,0.3587775,0.35869372,0.3481311,0.3284084,0.3028287,0.27903143,0.26773044,0.28099287,0.32010007,0.37020972,0.40169466,0.39400992,0.3496171,0.29382646,0.25120437,0.23143898,0.22940828,0.23949488,0.2602928,0.29114285,0.32309842,0.34314474,0.34188387,0.3215809,0.29104462,0.25892153,0.22875331,0.20118798,0.17659532,0.15553296,0.1374407,0.12016398,0.10286511,0.088626534,0.08476702,0.09718477,0.12588964,0.16320923,0.19992185,0.22817665,0.24368244,0.24259146,0.22534746,0.19821155,0.17248543,0.15538861,0.14885749,0.15499936,0.18412189,0.24229796,0.3196092,0.38484523,0.41271707,0.39767143,0.35824695,0.31316888,0.27389988,0.2426954,0.221895,0.21387549,0.21891336,0.23294294,0.24900047,0.26072848,0.26594353,0.26687607,0.26976362,0.2813172,0.30794334,0.348804,0.3924934,0.41796443,0.40991235,0.3717996,0.32442555,0.28916976,0.27350235,0.27287784,0.28062007,0.29495832,0.3162272,0.3433394,0.3720801,0.39803252,0.41710722,0.426416,0.42301092,0.405663,0.37531057,0.33568737,0.29187635,0.24947989,0.21372092,0.18932535,0.18056612,0.19067319,0.21930234,0.26027536,0.3028048,0.33689967,0.35653195,0.35931334,0.34330288,0.30986065,0.26630324,0.2276516,0.20722334,0.21157868,0.23707588,0.28026536,0.33594918,0.39777553,0.4490559,0.47540426,0.4701521,0.44226527,0.40518606,0.37198994,0.35058412,0.3441812,0.350654,0.36312118,0.3740693,0.37844548,0.37613595,0.37009525,0.36403003,0.35927677,0.3572527,0.36190066,0.38124362,0.41818213,0.4655695,0.5056441,0.5252242,0.5219903,0.50560313,0.48396862,0.46030673,0.4330857,0.40449676,0.37791464,0.35583913,0.3357359,0.31578162,0.29669535,0.2823281,0.27415743,0.27069327,0.26983118,0.272742,0.28490213,0.3104682,0.34703436,0.38199154,0.400636,0.3958019,0.37502554,0.3538077,0.34437892,0.3478848,0.35744157,0.36530605,0.3668526,0.3611542,0.35010013,0.33876097,0.33192563,0.33273295,0.34214127,0.36268458,0.39347053,0.42546973,0.44002482,0.42416474,0.38244793,0.3367696,0.30843076,0.30533227,0.32228857,0.35211828,0.38964036,0.42943513,0.46148434,0.47719964,0.47503614,0.4624113,0.44764885,0.43548572,0.42719412,0.42489448,0.4298288,0.43776795,0.43812823,0.42203984,0.39242327,0.36390373,0.3518009,0.3605126,0.3833926,0.411949,0.44232348,0.47258067,0.49788645,0.510827,0.5095054,0.49942812,0.4908613,0.48992386,0.49778748,0.51137227,0.52728146,0.54023194,0.54476357,0.5361332,0.5161674,0.49164757,0.47234145,0.4635369,0.46620676,0.4770805,0.49337268,0.5105743,0.5242149,0.52772486,0.5195947,0.5017473,0.48143068,0.46358284,0.4522612,0.44859338,0.45381793,0.465284,0.47814402,0.4852997,0.48493078,0.47888514,0.4724932,0.46720874,0.46296516,0.45909515,0.4583924,0.46277156,0.47050747,0.47454277,0.4691496,0.45408285,0.4348502,0.41654515,0.4012798,0.3903034,0.38655066,0.39191186,0.4023198,0.40843606,0.40317547,0.3879024,0.37014922,0.3566352,0.3488524,0.3468475,0.35179767,0.36564803,0.38491192,0.40057936,0.40263966,0.3878353,0.36121365,0.33286843,0.31309968,0.30953684,0.32532397,0.35704055,0.39408064,0.42269287,0.43323207,0.42702904,0.4144971,0.40838242,0.4150516,0.4331369,0.45679486,0.47995457,0.49898967,0.51135653,0.51663035,0.5157635,0.5111293,0.5029854,0.48750588,0.46147522,0.428668,0.40345702,0.39924228,0.4179208,0.4447801,0.46350706,0.4667584,0.46136817,0.45590746,0.45507285,0.45676598,0.45909247,0.46143636,0.4647586,0.46844468,0.47061208,0.46903574,0.46258894,0.45140254,0.43563333,0.41522303,0.39005652,0.36270273,0.33845118,0.32268116,0.3150777,0.30837914,0.29524,0.27709642,0.26678455,0.27680302,0.30795214,0.3451579,0.37129363,0.37859806,0.37427852,0.36964622,0.37166867,0.37749052,0.3796334,0.37155604,0.3523167,0.32676303,0.3019192,0.28346318,0.272446,0.2663516,0.26044467,0.25268045,0.24657245,0.25154683,0.27537572,0.31592974,0.35951194,0.38916752,0.39622,0.3840705,0.3643273,0.3476137,0.33838323,0.3325651,0.3228037,0.30560198,0.28881684,0.2877851,0.3138604,0.36310768,0.41825828,0.460682,0.48103556,0.48079136,0.46648005,0.44527957,0.4231998,0.40605143,0.39763626,0.39859387,0.40468967,0.41095588,0.41426706,0.41591445,0.41732195,0.41844046,0.41726068,0.41345403,0.40929565,0.40751985,0.40866885,0.40922415,0.40500867,0.39326108,0.37602463,0.35726956,0.34196803,0.33316037,0.33277473,0.34035006,0.35284662,0.3656617,0.3747003,0.37839487,0.37636733,0.36876568,0.35638392,0.34117064,0.32566926,0.31072718,0.29677147,0.2858175,0.2846246,0.30202508,0.3434186,0.4036969,0.46822467,0.5197899,0.54909897,0.5567367,0.5496529,0.53440547,0.51436925,0.48940095,0.4574771,0.42037824,0.3876717,0.37475356,0.38970554,0.42499852,0.46156642,0.48539415,0.49507296,0.49791285,0.49861196,0.4966226,0.48763356,0.46893755,0.4413711,0.41163757,0.38825345,0.37691632,0.37550056,0.37773395,0.3776764,0.37612304,0.37907764,0.3954169,0.4238085,0.4514428,0.45579696,0.4294666,0.38358733,0.34662998,0.33630458,0.35534546,0.38911983,0.42284504,0.4441276,0.449023,0.43827248,0.41867158,0.39777994,0.38203335,0.37266448,0.36794877,0.36468962,0.3623799,0.36280522,0.3687249,0.37969697,0.39093646,0.39575842,0.3897302,0.37339917,0.35140243,0.33226457,0.3264039,0.34190956,0.37549683,0.41134003,0.4294438,0.4226574,0.39963686,0.37701818,0.36436334,0.36416087,0.37597477,0.40109906,0.43428013,0.4620315,0.46652803,0.44240913,0.39866373,0.35429773,0.3217994,0.30491495,0.29902145,0.29900798,0.30050945,0.30169132,0.30243787,0.30405688,0.30757013,0.31270552,0.31791434,0.323962,0.33512107,0.35969618,0.39786902,0.43971828,0.4633374,0.4582974,0.42840672,0.39525828,0.37307596,0.36660346,0.36702576,0.3689598,0.36987892,0.3726678,0.37567687,0.37681746,0.3734511,0.36865234,0.3657281,0.36678615,0.3697261,0.37187973,0.37193874,0.37104562,0.3714957,0.37492839,0.3815535,0.39110968,0.40385017,0.42128935,0.44378176,0.46969983,0.49295506,0.5060513,0.50223637,0.48242712,0.45411193,0.42867756,0.41168323,0.4019297,0.39439532,0.3894442,0.3940419,0.41419807,0.44634327,0.47630087,0.49352232,0.49732837,0.4965872,0.4947745,0.4901228,0.47853318,0.46359983,0.45129323,0.44658983,0.4475576,0.45024297,0.4502677,0.44714275,0.44269446,0.44148836,0.4468944,0.4602382,0.47598767,0.48556802,0.48011744,0.461153,0.43822455,0.42405295,0.42316902,0.43174016,0.44270012,0.45222583,0.46052977,0.46867874,0.47595188,0.48043886,0.48004416,0.4745152,0.46441814,0.45223323,0.4414065,0.4365153,0.43977842,0.44889352,0.45722386,0.45876536,0.45271394,0.44402835,0.4388447,0.4404225,0.44804573,0.46021697,0.47552076,0.49141788,0.50227946,0.50231725,0.49044096,0.4716997,0.45382193,0.4427046,0.44131795,0.44897464,0.4619374,0.4714811,0.46941295,0.45007065,0.41838777,0.38391653,0.35868046,0.34616327,0.34346366,0.34298918,0.3403211,0.33616588,0.33410344,0.33672264,0.3420584,0.3469696,0.34888735,0.3485409,0.34799305,0.35120252,0.36307034,0.38453603,0.4085035,0.41971156,0.40856013,0.37933362,0.35097763,0.34117556,0.35530126,0.38445374,0.4149264,0.43787384,0.4512051,0.45698416,0.4564232,0.45075607,0.44182363,0.43371367,0.4297018,0.43083975,0.43478337,0.43767473,0.43601778,0.42829385,0.41527495,0.3988918,0.38125739,0.3645141,0.3518009,0.34743848,0.35515153,0.37533864,0.40188554,0.424234,0.43130907,0.42040893,0.39745733,0.3750458,0.3614868,0.3594917,0.36569002,0.38066995,0.4048201,0.43773952,0.46733272,0.4834909,0.48123947,0.47136164,0.46334985,0.46173584,0.4599459,0.4519554,0.43588224,0.41605213,0.39857593,0.3873316,0.38298059,0.3830792,0.38575044,0.39092565,0.40132996,0.4193982,0.44290838,0.46402144,0.47203684,0.46294317,0.44136134,0.41891935,0.40463343,0.40216613,0.40939644,0.42197904,0.43477985,0.44359457,0.44632366,0.44378087,0.43865108,0.43386838,0.43055013,0.42807746,0.42501655,0.42149416,0.41897616,0.4192877,0.42229447,0.4260514,0.42829704,0.42824635,0.4267455,0.42445746,0.42221653,0.42161313,0.4261997,0.4357672,0.4454317,0.44607696,0.4357761,0.41917315,0.40567586,0.39839056,0.39743772,0.40173528,0.41425517,0.4336308,0.4528204,0.45842758,0.445266,0.4177231,0.38942337,0.36872625,0.35927334,0.36018002,0.37363496,0.39777157,0.42537573,0.44207156,0.44003978,0.4212022,0.3973544,0.37768438,0.36709985,0.36645994,0.37818387,0.40065673,0.42655638,0.44178832,0.4376767,0.4151862,0.3851875,0.3589184,0.3430581,0.3401253,0.34994248,0.37175307,0.40093806,0.43063477,0.4527932,0.46424553,0.467144,0.4672614,0.46917722,0.47470143,0.4835292,0.493728,0.5016444,0.50269526,0.49430096,0.4786998,0.4611645,0.4464244,0.43556073,0.4282752,0.42555213,0.42972943,0.44017437,0.45104012,0.4534491,0.44253644,0.4200699,0.39377236,0.37172,0.36098877,0.36526975,0.38548985,0.41479456,0.44162932,0.45175242,0.4410714,0.41397977,0.3824892,0.35367528,0.33126846,0.31473494,0.30454043,0.29996955,0.30042407,0.30422747,0.30927595,0.31258026,0.31241617,0.30948496,0.30627647,0.30429688,0.30313507,0.30214682,0.30237472,0.30619073,0.31472254,0.32656014,0.339873,0.35491964,0.3732477,0.39285293,0.40554312,0.4015162,0.37593937,0.33365193,0.2844728,0.23990895,0.20840482,0.19693156,0.20734577,0.23568647,0.2702771,0.298781,0.31391537,0.3178246,0.31750226,0.3200403,0.32819754,0.34054723,0.3523384,0.35879338,0.35772514,0.35123822,0.34322584,0.3363222,0.3290895,0.31734952,0.29788885,0.2730534,0.25059897,0.23741353,0.23412482,0.23687762,0.24630229,0.26872528,0.30875787,0.35875687,0.40168497,0.42213038,0.41590962,0.3906125,0.35878563,0.3341347,0.3256227,0.33736062,0.36486605,0.4003577,0.43477142,0.46319017,0.48280796,0.4922625,0.4899207,0.47460508,0.4450532,0.40085253,0.34339222,0.27991977,0.22019829,0.17373115,0.14218424,0.123548865,0.115618594,0.123511635,0.15486676,0.21303226,0.2880368,0.36052313,0.41009733,0.42600548,0.40743187,0.36270213,0.30429476,0.24724586,0.2034732,0.18089439,0.18265855,0.207464,0.24738936,0.28813362,0.31649858,0.3271414,0.32391894,0.31289196,0.29738614,0.28007516,0.26586136,0.26320234,0.27637258,0.30345032,0.33482304,0.3614591,0.37914002,0.39162314,0.40629125,0.42459187,0.43890274,0.4352908,0.40889835,0.36692226,0.32557303,0.29728165,0.28776535,0.29622594,0.3176866,0.3435527,0.36474025,0.37591305,0.37753096,0.3729678,0.36472157,0.3532903,0.3391229,0.32546902,0.31711337,0.31791058,0.3265333,0.33751127,0.34357962,0.34114382,0.3315277,0.32006657,0.31201744,0.31028655,0.3142945,0.3203069,0.32235005,0.31584224,0.30089483,0.28353962,0.2706803,0.26641405,0.26968572,0.27774927,0.2872465,0.2965776,0.30499807,0.31276962,0.3186183,0.32040748,0.31636155,0.30752197,0.2959975,0.2852362,0.28053096,0.29062834,0.31833848,0.35336444,0.37168232,0.3554004,0.30646908,0.2477643,0.20392554,0.18858993,0.20251916,0.24191384,0.29891124,0.3586206,0.39901194,0.40411687,0.3759505,0.33274433,0.29489827,0.27126446,0.2609712,0.2588961,0.2621245,0.26840732,0.27574766,0.2823967,0.2876449,0.292128,0.29649267,0.30105734,0.30515087,0.30801162,0.3093083,0.30987597,0.310873,0.31304967,0.31612793,0.31980005,0.3237922,0.32792592,0.33133122,0.33405784,0.337507,0.34434772,0.35542703,0.36908683,0.3814,0.3887109,0.38842607,0.38027975,0.36627248,0.3502941,0.33562055,0.3227266,0.3085977,0.28873435,0.26062998,0.22608322,0.19072914,0.16017352,0.1365643,0.119404234,0.11000193,0.11517153,0.14184885,0.1893264,0.24387479,0.28788915,0.3102508,0.3133615,0.3076531,0.30590284,0.31840655,0.34892845,0.38947693,0.42083395,0.4244028,0.39646614,0.350719,0.30725265,0.27871692,0.2669935,0.26771405,0.2768307,0.29231068,0.31279075,0.33540416,0.35548258,0.36814615,0.37070107,0.36385325,0.35119233,0.33686873,0.323903,0.31330085,0.30502656,0.2979577,0.29082713,0.28223142,0.27235582,0.26210153,0.25284246,0.2446332,0.23717278,0.22963966,0.22186978,0.2136429,0.20570916,0.19896786,0.19502862,0.19443403,0.19709025,0.20147753,0.20634495,0.21084344,0.21543379,0.22087179,0.22763562,0.23489814,0.24097347,0.24425434,0.24570422,0.25035492,0.2664207,0.2986913,0.34146425,0.37822235,0.3922089,0.37905863,0.34879982,0.31715712,0.29538044,0.28903043,0.30055898,0.32899496,0.36553636,0.39403167,0.39987493,0.38132906,0.3501883,0.32303044,0.30901673,0.30782256,0.3132569,0.31980386,0.324648,0.3271253,0.32785216,0.32716128,0.32602695,0.32480332,0.3243386,0.32386613,0.3222119,0.317911,0.3115829,0.30507675,0.30012652,0.29681063,0.2943445,0.2924435,0.29147995,0.29091582,0.28747174,0.2759919,0.25334278,0.22287296,0.1938219,0.17539679,0.17013556,0.17344493,0.1783761,0.18056248,0.1788742,0.17433786,0.16955973,0.16864805,0.17481844,0.1875499,0.20220207,0.21356417,0.21904033,0.21928942,0.21618867,0.21167524,0.20728469,0.2041257,0.2026373,0.20271064,0.20476168,0.21019894,0.22144204,0.24076915,0.27001408,0.30975178,0.35744825,0.40327013,0.43200412,0.43045592,0.39975977,0.35384497,0.31066918,0.27885956,0.25814217,0.24437921,0.23563655,0.23156567,0.23111989,0.23184542,0.23137832,0.22918813,0.22650814,0.22459757,0.2234488,0.22173934,0.21849184,0.21416248,0.2110805,0.21155216,0.21618491,0.22287907,0.22882712,0.23250127,0.23358156,0.23086996,0.22097605,0.2008038,0.17053105,0.13482769,0.100150324,0.07158422,0.05099407,0.03753212,0.029107524,0.023759851,0.020220334,0.017831726,0.016176961,0.014942574,0.013863382,0.01280649,0.011708911,0.010629508,0.010970554,0.01877965,0.045400232,0.101937555,0.18353696,0.26607746,0.3149359,0.31411913,0.2715947,0.21353696,0.1596226,0.123137474,0.11327819,0.14121808,0.2043858,0.2809789,0.3351284,0.34664908,0.3202738,0.28148934,0.2498853,0.23259622,0.22522195,0.22308278,0.22275613,0.22203948,0.21948151,0.21499999,0.20992643,0.2054274,0.20191883,0.19918902,0.19700603,0.19526732,0.19388424,0.19285212,0.19241981,0.19376834,0.19963586,0.21476336,0.24241368,0.2807131,0.320073,0.34946036,0.3633704,0.36559346,0.36391655,0.3635325,0.36488461,0.36562815,0.36383975,0.35932168,0.35438028,0.35305324,0.35817602,0.36888766,0.38060912,0.38838932,0.38979074,0.3855295,0.37778404,0.3686956,0.3597652,0.35282886,0.34975326,0.35184738,0.35811833,0.36577833,0.37149632,0.3730882,0.36964992,0.3609415,0.3500651,0.344843,0.35787603,0.39307854,0.44045135,0.4751872,0.48057124,0.45497778,0.41420078,0.3714253,0.33368078,0.3008374,0.2765541,0.26771307,0.28109404,0.31524563,0.35993347,0.40145412,0.430823,0.44678965,0.45203304,0.44840968,0.43578193,0.4150255,0.38992086,0.3662182,0.34886786,0.3401505,0.33921883,0.3432715,0.349861,0.35899743,0.3735472,0.3948724,0.42075214,0.44402352,0.45971206,0.46546993,0.46250534,0.44911432,0.4235151,0.386371,0.34570423,0.3129473,0.29730698,0.30052724,0.31726834,0.33922645,0.358681,0.37161568,0.37689754,0.37649664,0.37276828,0.36854002,0.36474618,0.36107305,0.35523936,0.3462793,0.33535886,0.32592806,0.32020298,0.32012817,0.32880172,0.35239562,0.3894098,0.4276273,0.44393182,0.42703506,0.3810983,0.3266759,0.27873057,0.24769421,0.23791224,0.25842583,0.3074261,0.36957327,0.41161522,0.41343626,0.37663713,0.3286604,0.2925844,0.2781609,0.27844617,0.28478324,0.29112515,0.2956139,0.29760447,0.2969875,0.29378936,0.28769362,0.27888808,0.26944938,0.26507786,0.27259505,0.29414502,0.3224378,0.34315443,0.3456852,0.33098042,0.31046444,0.29497957,0.28750405,0.28406128,0.28055778,0.27544865,0.26722807,0.25168785,0.22572409,0.1934795,0.16882236,0.16647193,0.1914689,0.23347588,0.27536395,0.30355296,0.3134972,0.30476427,0.27771682,0.23639274,0.19328624,0.16641365,0.16761374,0.1968136,0.24440189,0.30361608,0.36682686,0.42448023,0.45720854,0.45602274,0.4256303,0.3880801,0.35809776,0.33975193,0.32706296,0.31900188,0.3191915,0.33139417,0.3530593,0.37698475,0.3961332,0.40702376,0.40995944,0.4071846,0.4022149,0.39853278,0.39938197,0.40574297,0.41637936,0.42736617,0.4344658,0.43498138,0.42931452,0.42058983,0.41208792,0.4067087,0.40482846,0.40603104,0.40723667,0.406123,0.4004308,0.3899902,0.3728671,0.34586155,0.30625543,0.25731337,0.20904075,0.17361711,0.15839697,0.16212861,0.17697324,0.19351791,0.20574242,0.21229015,0.21580215,0.21978901,0.22837223,0.24187718,0.25810382,0.26980546,0.2734885,0.26823863,0.25877482,0.24715893,0.23804492,0.23832248,0.26146296,0.30966476,0.37003717,0.4112209,0.41534737,0.3836333,0.34139302,0.3076478,0.29419133,0.3014015,0.33278134,0.38254347,0.43548882,0.4635965,0.45344803,0.4099261,0.35885802,0.31883094,0.29836774,0.29271853,0.2979722,0.31129164,0.33142313,0.3557531,0.38019696,0.40093732,0.41555774,0.42391708,0.42786613,0.43014827,0.43391714,0.43945697,0.4435499,0.43998262,0.42528793,0.40116557,0.37345204,0.3475795,0.32615325,0.30957925,0.2963461,0.28443313,0.2720902,0.26050183,0.25156677,0.24558198,0.23917474,0.22917974,0.21408089,0.1957153,0.17782624,0.16999628,0.182957,0.22312732,0.28167772,0.34059355,0.3810241,0.39579746,0.38701165,0.3658069,0.3464321,0.34615645,0.37049723,0.41104674,0.44385692,0.45413873,0.44045624,0.41659197,0.39038336,0.36326015,0.3323882,0.30226788,0.28201017,0.2792901,0.29245013,0.31202337,0.3268112,0.33141065,0.32723954,0.31869555,0.3094469,0.30178535,0.29883865,0.30313432,0.3148385,0.3299987,0.34332752,0.35047486,0.3496876,0.34215966,0.3324928,0.32806733,0.33424458,0.34961775,0.36436638,0.36764035,0.35567984,0.33541963,0.3180475,0.3110601,0.31414884,0.32176045,0.32660076,0.32251894,0.30505627,0.2738944,0.23305131,0.19214828,0.16245462,0.15594219,0.1794007,0.23189874,0.30005988,0.36321676,0.40272722,0.41076136,0.3916808,0.354237,0.30859396,0.26112,0.22081073,0.19696893,0.20528986,0.25100446,0.3245863,0.3927513,0.42789623,0.4215425,0.39427802,0.36890736,0.3595467,0.36641753,0.38904974,0.42385772,0.46324566,0.4915793,0.4994445,0.4881173,0.4703728,0.45464018,0.43955755,0.4166713,0.3819712,0.34171394,0.30752784,0.28842342,0.28520143,0.29357603,0.30909482,0.32979718,0.35507616,0.382808,0.40954188,0.42966202,0.43665954,0.42285296,0.38571346,0.33194116,0.27982345,0.2490114,0.25014985,0.2772674,0.3142773,0.34511104,0.36229467,0.3660972,0.3600086,0.3483446,0.33605263,0.33002543,0.33397043,0.34729126,0.3615391,0.3678678,0.35743555,0.32849172,0.28307465,0.23102653,0.18476455,0.15944082,0.16376455,0.19913208,0.25629604,0.3247793,0.3917742,0.4465917,0.47551712,0.47374442,0.44624397,0.4093252,0.37542042,0.3501531,0.33304834,0.32567886,0.33049062,0.3475192,0.37129524,0.39465666,0.4130795,0.4263649,0.43416002,0.43348172,0.42227837,0.40671834,0.39990893,0.40740916,0.41880903,0.41410574,0.38714325,0.34952235,0.31991065,0.30397332,0.2983406,0.30214298,0.323401,0.36447656,0.41234383,0.44247368,0.44189906,0.41625953,0.38497186,0.36135352,0.3503455,0.35143414,0.36796713,0.3994062,0.4381393,0.46598196,0.47249675,0.4580728,0.43556467,0.41195038,0.38987187,0.37070048,0.36543748,0.38278493,0.41958317,0.4533936,0.46458197,0.44783774,0.4188763,0.393466,0.38154367,0.38333657,0.39942515,0.42650446,0.45777997,0.48044148,0.48746943,0.4789323,0.46346912,0.44654205,0.4314065,0.41940594,0.41734806,0.4301653,0.45513797,0.47701332,0.47997102,0.45761415,0.417991,0.37561643,0.34432375,0.3333318,0.34634188,0.3812046,0.42689976,0.46794954,0.48914492,0.48737833,0.4694012,0.4481664,0.43089214,0.42098138,0.41901374,0.42742693,0.44417182,0.46286502,0.47224057,0.4670472,0.44697118,0.41781688,0.38227668,0.34650633,0.31985736,0.3185954,0.34681702,0.39202812,0.42403087,0.4248964,0.39727482,0.36521545,0.34708396,0.34928074,0.3660574,0.39317966,0.42450288,0.4513143,0.46021613,0.44834507,0.4246976,0.4059496,0.3983079,0.39790592,0.39881158,0.40469608,0.42227665,0.45072877,0.47616723,0.4847035,0.47311306,0.45181856,0.4320872,0.41946128,0.41236678,0.40849957,0.40614083,0.40439168,0.40233338,0.3997877,0.39717993,0.3946159,0.3913215,0.3874357,0.38623384,0.39481962,0.4186025,0.4533185,0.48317924,0.48944044,0.46678016,0.4275535,0.39482924,0.38384783,0.39539814,0.41697192,0.4350138,0.44071543,0.43467447,0.42268977,0.41337588,0.4108143,0.41343072,0.41468167,0.4093095,0.39706007,0.3821856,0.37031195,0.36403975,0.36144197,0.3574246,0.3485711,0.3384544,0.33557498,0.3483043,0.37712964,0.41694352,0.4577682,0.4900674,0.50451666,0.4987981,0.4778336,0.451636,0.42646626,0.40342137,0.38316846,0.3724042,0.37927583,0.40456244,0.43546462,0.45657456,0.46026623,0.45182452,0.4388914,0.42573643,0.41245747,0.40046358,0.39213023,0.3890078,0.38999805,0.39366564,0.39911625,0.40633556,0.41459832,0.42286444,0.43147245,0.44318068,0.46179473,0.48497128,0.5032594,0.5031966,0.48126066,0.44484106,0.408566,0.3809117,0.36438394,0.35795012,0.36254886,0.37750527,0.39848098,0.41681814,0.4258758,0.4232404,0.41226482,0.39689282,0.3808268,0.36520866,0.35131726,0.34027183,0.33442497,0.33538365,0.3433735,0.35661662,0.37289628,0.39107525,0.4112811,0.43446505,0.4614028,0.49003148,0.51423526,0.52407867,0.51446027,0.48802838,0.45517996,0.42296794,0.39404762,0.3691945,0.3565553,0.3658962,0.3994523,0.44256654,0.47450522,0.48270807,0.471952,0.45600536,0.44502103,0.4398586,0.43459165,0.42479965,0.41117457,0.39996645,0.39680377,0.40246186,0.41221133,0.4203209,0.42370975,0.42408118,0.42604473,0.43619993,0.45349124,0.47013187,0.4695991,0.44736788,0.40920663,0.37595686,0.36020935,0.3680987,0.39102855,0.4198786,0.4423413,0.45315072,0.44998947,0.4389144,0.42654595,0.41930678,0.41721645,0.41738236,0.41657797,0.41532877,0.41682777,0.42363337,0.4345243,0.4446973,0.44867218,0.4441249,0.43245324,0.41905585,0.4111531,0.4175352,0.44002268,0.47040725,0.48897576,0.48276767,0.45350906,0.42083237,0.4025437,0.40730822,0.42994967,0.46205267,0.49219656,0.51054287,0.5084787,0.48580778,0.44960567,0.41126606,0.37935105,0.3578423,0.34767187,0.3481481,0.35743365,0.37164128,0.3864554,0.39881173,0.4082577,0.41619453,0.42407715,0.43169072,0.43886137,0.4465852,0.46049738,0.4819927,0.5068175,0.51937443,0.51083916,0.48170018,0.44684502,0.41662046,0.3957342,0.38161883,0.37647268,0.38213536,0.39885303,0.41771677,0.4313275,0.43483993,0.43223694,0.42698336,0.42281845,0.4199349,0.41881874,0.41900882,0.4202818,0.42264357,0.4264584,0.43213907,0.4395466,0.44822192,0.458357,0.46988866,0.4838488,0.4989687,0.5129824,0.51853174,0.50981486,0.48472628,0.45083997,0.41780853,0.39257982,0.3765504,0.37295175,0.3874735,0.4211869,0.46208915,0.49125496,0.4985485,0.4898462,0.47938815,0.4754392,0.4775521,0.48067954,0.48198402,0.4804655,0.4766667,0.4712188,0.4658412,0.4617026,0.45969227,0.46017075,0.46586874,0.48023352,0.5048155,0.5320595,0.5483987,0.5413377,0.51257807,0.47594583,0.44765136,0.43431914,0.43265924,0.43740752,0.44498214,0.45409837,0.46205112,0.46687683,0.4684298,0.469485,0.47284567,0.4792764,0.48677734,0.49289414,0.49696055,0.50036883,0.50473505,0.5095269,0.512808,0.5126919,0.50928134,0.50352526,0.49718356,0.49228954,0.4925898,0.49888435,0.50673103,0.50488603,0.48661828,0.4554954,0.42596292,0.40912232,0.40693393,0.41364655,0.42675686,0.44682088,0.47078714,0.4864622,0.47964874,0.44835767,0.40448382,0.365821,0.3406125,0.32809988,0.32225809,0.32039878,0.32153165,0.32568002,0.33150202,0.33754715,0.3426802,0.346465,0.34901413,0.35269794,0.36243153,0.38590002,0.42199108,0.45985234,0.47727588,0.46549073,0.4311782,0.39888468,0.38414332,0.39025977,0.40626517,0.42317876,0.4358212,0.4444513,0.44865516,0.44923267,0.44724464,0.44591784,0.44727382,0.45128727,0.45546427,0.45737168,0.45759198,0.45978084,0.46790585,0.48193595,0.49717128,0.5070467,0.5072521,0.49815047,0.4850254,0.47638106,0.47704563,0.48336998,0.48216653,0.46430126,0.4320422,0.40075955,0.38263795,0.38146833,0.39238492,0.4135786,0.44432756,0.48073256,0.5100936,0.5190335,0.503676,0.4727074,0.44071528,0.4180876,0.40808704,0.40773228,0.41205657,0.41652504,0.41890863,0.41848698,0.41589347,0.41250452,0.4110581,0.41295323,0.41832745,0.42623723,0.4381255,0.45265707,0.4642143,0.46166006,0.44084656,0.40727213,0.37456086,0.3520498,0.34303644,0.3478051,0.36920488,0.40643772,0.4496864,0.4789189,0.48155436,0.46104622,0.43709314,0.42554978,0.4299848,0.4425402,0.45540228,0.4648789,0.47004962,0.47079942,0.46832037,0.4658887,0.4667156,0.47127923,0.47792646,0.48574805,0.49735084,0.51402354,0.5310013,0.5361736,0.5203467,0.48528358,0.44314405,0.40684092,0.38293597,0.3740162,0.38242617,0.4096714,0.44913924,0.4849464,0.5002306,0.49074987,0.4671296,0.44568196,0.4350567,0.43527842,0.44288412,0.45737335,0.47570512,0.49066588,0.4902422,0.47136438,0.44030127,0.4113718,0.3916165,0.38311157,0.38487303,0.40192664,0.4333752,0.46883154,0.484975,0.4690007,0.42443737,0.3735477,0.3340588,0.3155292,0.31708375,0.34012845,0.3806845,0.4286776,0.46188542,0.46643838,0.44201443,0.40750957,0.37998497,0.36950567,0.37486243,0.3943729,0.4227028,0.4504951,0.46185455,0.44849786,0.4153634,0.38134217,0.3624814,0.3651214,0.38463387,0.41508487,0.4496013,0.4789225,0.48908278,0.47123656,0.42930594,0.38084102,0.34384218,0.32746598,0.33097363,0.35156998,0.3872068,0.43260196,0.47660485,0.5054901,0.51399773,0.50574917,0.49087605,0.47512376,0.4620143,0.4515492,0.44504228,0.44136798,0.43907747,0.43599716,0.43215087,0.4286487,0.4264879,0.42423436,0.42127904,0.4194953,0.4260756,0.4420146,0.46091855,0.46643952,0.45254484,0.42404428,0.39752617,0.38206413,0.3803239,0.38944253,0.41080308,0.44276878,0.4775846,0.499027,0.4973434,0.47451735,0.44428253,0.41753697,0.39810488,0.3840153,0.37486503,0.37227127,0.37689376,0.38547024,0.3924969,0.3940923,0.3907236,0.38636598,0.38600686,0.393851,0.4122219,0.43948326,0.4678518,0.48560163,0.48434237,0.46560237,0.43904343,0.41463986,0.39705464,0.38810587,0.39104292,0.41011676,0.44288528,0.4782803,0.5005,0.5028066,0.48847902,0.46885192,0.45016444,0.43439868,0.41929975,0.4052968,0.39380333,0.3864776,0.38344356,0.38379893,0.38703787,0.3922434,0.39867035,0.4061606,0.4172225,0.4362347,0.46182624,0.4845324,0.48807588,0.46684167,0.42782912,0.38903522,0.36083993,0.3467087,0.34520316,0.36021742,0.39304194,0.43788144,0.4773349,0.4971291,0.49292436,0.47416416,0.45145467,0.43161264,0.41574335,0.40384987,0.3962688,0.39261284,0.39138797,0.3900566,0.38779083,0.38671854,0.39139557,0.4050493,0.42767653,0.4560608,0.4860723,0.51046795,0.5211354,0.5112825,0.48429498,0.44954562,0.41773847,0.39187118,0.37371767,0.3678346,0.38365152,0.42223302,0.47178528,0.5097549,0.52329606,0.5146412,0.4997058,0.489664,0.48679826,0.48592794,0.48330566,0.47920454,0.47507456,0.47169372,0.46746174,0.4616525,0.45432186,0.44742846,0.4443572,0.4498903,0.46864918,0.49678507,0.5223201,0.5277588,0.50854903,0.47288275,0.43952772,0.4191277,0.41554165,0.4260141,0.45025206,0.4829551,0.51388973,0.5272358,0.5169541,0.48899558,0.45937946,0.43875113,0.42920008,0.4259231,0.425611,0.42818984,0.43529344,0.4463887,0.45786658,0.4651464,0.46578583,0.46113184,0.45452175,0.451156,0.45557305,0.47055253,0.49022803,0.5030657,0.49746776,0.474786,0.4465976,0.42683467,0.41988075,0.4232274,0.4337828,0.4526424,0.47853717,0.5036662,0.51423264,0.50317824,0.473845,0.43949473,0.4109954,0.39390433,0.38749444,0.39003444,0.3996077,0.41389546,0.4293293,0.4418696,0.44934413,0.4523612,0.4529487,0.45401743,0.45831814,0.4705741,0.4897572,0.50908476,0.51387906,0.49889806,0.4693747,0.44149908,0.42428544,0.4191593,0.42148173,0.4307208,0.44657633,0.4655815,0.47738573,0.47445878,0.45696762,0.4350803,0.41853428,0.41208836,0.4136043,0.4190085,0.4251386,0.43046817,0.43511114,0.43896422,0.44174445,0.4422375,0.44002154,0.4365619,0.4360429,0.44413385,0.46310893,0.4868628,0.5014104,0.4941577,0.46468532,0.4243743,0.38673016,0.35746217,0.3375956,0.33038726,0.34414265,0.38093162,0.4301487,0.4696119,0.48487628,0.47628212,0.45905092,0.44542754,0.4403273,0.43961203,0.43965948,0.43747076,0.43354282,0.42829466,0.42419377,0.4222317,0.4235088,0.42689636,0.43289486,0.44248602,0.45932564,0.4816325,0.50331587,0.511921,0.50375766,0.48266807,0.46101263,0.4447895,0.4364028,0.4359173,0.44707692,0.46984172,0.49621582,0.51149887,0.506684,0.4847821,0.45867613,0.4395903,0.43128726,0.4305056,0.43214473,0.4326851,0.43048665,0.42618647,0.42128566,0.41784063,0.41589436,0.413685,0.4092846,0.40468654,0.40607262,0.41873837,0.43845293,0.4524319,0.44813526,0.427979,0.4055088,0.3962504,0.40284684,0.4211943,0.4454858,0.47510538,0.50607663,0.53028506,0.53669405,0.5232702,0.4969293,0.47033164,0.45091352,0.44023362,0.43619886,0.43728554,0.44289038,0.4503235,0.45573056,0.45471606,0.4471217,0.43622962,0.42745256,0.42520246,0.43201923,0.44981,0.47455397,0.49713102,0.50306684,0.48839986,0.46028948,0.43660343,0.42766583,0.43482828,0.44955525,0.46484032,0.47440282,0.4757779,0.4660498,0.44732097,0.42342973,0.40190923,0.3868661,0.3806366,0.38111725,0.38577735,0.39123607,0.3964965,0.40143907,0.40664133,0.41068354,0.41204396,0.4097607,0.40586042,0.40435174,0.41072366,0.42723694,0.4487804,0.46261218,0.45746747,0.43345785,0.40340117,0.3821245,0.37653574,0.38393196,0.39958814,0.42137048,0.44829273,0.47564754,0.49471703,0.49861982,0.48708197,0.46578023,0.44159842,0.42095637,0.41072574,0.4183149,0.44252837,0.4722097,0.4871136,0.47901627,0.45223057,0.42482826,0.4067913,0.4021748,0.407006,0.42147192,0.44205973,0.46253803,0.46974015,0.45817676,0.4307913,0.4007955,0.3770858,0.36474085,0.3645482,0.38001242,0.40979946,0.44538355,0.47029868,0.47493327,0.46096966,0.4404275,0.4218326,0.40810177,0.3990796,0.39904928,0.41212633,0.43581808,0.45705807,0.4623029,0.44741973,0.42118093,0.39709958,0.38507447,0.38949394,0.40966037,0.4407462,0.47011092,0.48260745,0.46771026,0.43024644,0.3850399,0.34795377,0.32497105,0.31594947,0.3197907,0.33782828,0.36767438,0.40066335,0.4243133,0.4326191,0.42776024,0.41694024,0.4030063,0.3874323,0.3740159,0.3742509,0.393967,0.42733192,0.45269105,0.4548956,0.4324778,0.40254936,0.38031402,0.37511694,0.38555208,0.40982866,0.4400263,0.464986,0.46783748,0.44300961,0.39796302,0.3529282,0.32252684,0.3115879,0.31741005,0.33918634,0.37644878,0.42239967,0.46112084,0.47729328,0.46646047,0.43800488,0.4054909,0.3793783,0.36463198,0.3648847,0.38121703,0.4084004,0.432534,0.43919826,0.42383417,0.3960651,0.3710009,0.3596405,0.36414537,0.38235545,0.40972686,0.43871114,0.45782676,0.456115,0.43268082,0.39666227,0.36252257,0.3378627,0.32641473,0.33018044,0.35511717,0.39837614,0.44656327,0.47679093,0.4791365,0.45939222,0.43627802,0.42144537,0.41719416,0.41818404,0.4197332,0.41825283,0.41169286,0.39965644,0.38517007,0.37239897,0.36502838,0.36283326,0.3656985,0.37391588,0.3916491,0.416646,0.44012022,0.44510528,0.42582837,0.3895364,0.35583603,0.33653513,0.33343658,0.34038106,0.35483137,0.3769611,0.40591392,0.43491533,0.4549493,0.46059063,0.45323744,0.43902603,0.42344713,0.40933827,0.39584717,0.38139915,0.36490476,0.34772456,0.33252004,0.32154346,0.31527272,0.31194618,0.30986273,0.31021702,0.3190734,0.34325084,0.37928393,0.41109264,0.41717467,0.39211774,0.34834614,0.3085208,0.2845932,0.27915266,0.2901865,0.32030857,0.3659729,0.41461742,0.44468793,0.44681135,0.42619023,0.40084454,0.38170147,0.37173632,0.3668774,0.36504033,0.3652886,0.36721644,0.36949643,0.37079385,0.37063527,0.36905634,0.3664784,0.36472356,0.36864817,0.38595283,0.41787794,0.45447686,0.47484148,0.46682477,0.43461466,0.39780998,0.37133777,0.35958302,0.35852233,0.36624363,0.38264796,0.40566233,0.42786476,0.44103932,0.44155493,0.4322292,0.4189392,0.40572086,0.39400133,0.38321343,0.37355593,0.36522403,0.35881647,0.3541975,0.3514862,0.3503754,0.35021615,0.35069993,0.35420743,0.3665681,0.3921117,0.42591408,0.452396,0.45485154,0.42977318,0.3890796,0.35084057,0.32555115,0.31576765,0.32118046,0.3445075,0.382405,0.42320803,0.4466894,0.44471547,0.42224994,0.39748445,0.38110006,0.3768164,0.37990403,0.38709354,0.3952069,0.4028418,0.40874887,0.41276237,0.41489658,0.41553187,0.4150277,0.4152964,0.41923293,0.43123615,0.44909367,0.46428958,0.46136126,0.43635604,0.3969034,0.36240983,0.34311676,0.34079435,0.3492693,0.366529,0.39091983,0.4189482,0.44232836,0.45469198,0.45569146,0.45039877,0.4434222,0.43496978,0.4228964,0.40605626,0.38690963,0.36944142,0.35712203,0.35096252,0.3498371,0.3515462,0.35411528,0.35699,0.36247316,0.37477306,0.39663282,0.42091775,0.43307593,0.41835395,0.3798394,0.33387327,0.30156422,0.2894153,0.29587272,0.3165085,0.35337237,0.40225685,0.45079005,0.4783639,0.47742662,0.45435932,0.42812335,0.409618,0.4016966,0.3990133,0.39853787,0.3989228,0.40121713,0.40579832,0.41203824,0.41745535,0.41951394,0.41754892,0.41520438,0.41958582,0.43840957,0.47080263,0.50419706,0.5172482,0.4985192,0.4541234,0.40604594,0.3724256,0.35976622,0.36278686,0.37522328,0.39231977,0.41058156,0.42475498,0.43116108,0.4301966,0.42680514,0.4250585,0.4251201,0.42403558,0.41984126,0.41331473,0.40642455,0.40086174,0.39710763,0.39547196,0.39537504,0.39627028,0.39779854,0.40211394,0.412532,0.43051866,0.44936553,0.4560845,0.43872562,0.3986348,0.34899876,0.3062428,0.27731884,0.26270857,0.26248014,0.28282008,0.32306278,0.37172154,0.4044874,0.40944847,0.38933095,0.36302102,0.34138146,0.328419,0.3203549,0.31718165,0.31880224,0.32429084,0.3294457,0.33052644,0.32640028,0.3193232,0.31257114,0.30987045,0.31487122,0.3332796,0.3645278,0.39969698,0.41808233,0.40704164,0.36750636,0.3182491,0.27546158,0.24819504,0.23663925,0.24229157,0.2650154,0.2981334,0.32575694,0.33345735,0.31898856,0.29360557,0.27089295,0.25710624,0.25066322,0.24822234,0.24839191,0.250707,0.25380945,0.2557654,0.25566626,0.25388196,0.25135985,0.24907619,0.25068736,0.26248997,0.29141596,0.33216795,0.3674576,0.37279442,0.3423756,0.28943822,0.24082671,0.21092363,0.20372312,0.21680188,0.25397217,0.3116729,0.37534514,0.41687945,0.42185745,0.3944402,0.35876527,0.3323914,0.321537,0.31981182,0.32171717,0.32518443,0.3309534,0.3387259,0.3467399,0.3533304,0.35807934,0.36151257,0.36584327,0.3748242,0.39383993,0.42119047,0.44724408,0.45471916,0.43703973,0.3998306,0.36122832,0.33309388,0.32045898,0.32045054,0.33228835,0.3535783,0.37907335,0.3977288,0.40137318,0.38989186,0.37222084,0.3572838,0.34873602,0.3445865,0.34245762,0.34155312,0.34243158,0.34499338,0.3483282,0.351045,0.35233346,0.3523319,0.35265407,0.35695997,0.37050664,0.39703166,0.43084624,0.45666102,0.4555563,0.42288363,0.36909017,0.31418207,0.26956314,0.24076907,0.23125349,0.2508013,0.30019176,0.365261,0.41494647,0.42941108,0.40913987,0.3765235,0.35004058,0.33849517,0.34072685,0.35837558,0.38999376,0.42690632,0.44907773,0.4432604,0.41183016,0.37445843,0.3487158,0.34217954,0.3523353,0.37684283,0.4105574,0.44306743,0.45642504,0.44160295,0.40412298,0.36391735,0.33668336,0.32849094,0.33648244,0.35830572,0.39065734,0.4259957,0.45048055,0.45334527,0.43413734,0.40424785,0.37671366,0.35935283,0.35395053,0.3618339,0.38433513,0.41713595,0.44712982,0.45811805,0.4443446,0.4144796,0.38511565,0.36727834,0.36410752,0.37486413,0.40008008,0.43497548,0.4665496,0.47575197,0.4550304,0.41213775,0.36707583,0.33403406,0.3194853,0.32293046,0.3448176,0.37983844,0.416764,0.43824384,0.43683276,0.4163436,0.3914244,0.37176552,0.3622193,0.36215308,0.37363124,0.39385188,0.41583073,0.4251953,0.41647673,0.39287007,0.3684183,0.351444,0.34575108,0.35062563,0.36945963,0.40280613,0.44222054,0.46802744,0.46395504,0.43012998,0.38403448,0.3455963,0.32546422,0.32515112,0.34502706,0.3841097,0.43434262,0.4769299,0.49412942,0.4815059,0.4513259,0.41995263,0.39675912,0.38320935,0.37963954,0.3876489,0.40462294,0.42073154,0.42396224,0.41119877,0.389931,0.37186185,0.3627464,0.3635777,0.3747791,0.3994546,0.43470216,0.4679924,0.4801854,0.46262896,0.4229232,0.380584,0.3500701,0.3340675,0.32513562,0.31460664,0.29852465,0.28009483,0.2669444,0.2652248,0.27433267,0.28768396,0.29783276,0.3012756,0.2987689,0.29296455,0.28621313,0.2795128,0.27238944,0.26331285,0.25107345,0.23633204,0.22198415,0.21162903,0.20736162,0.20834626,0.21177614,0.21421348,0.21348548,0.20846087,0.19928414,0.18640761,0.17071067,0.1525557,0.13185446,0.10847613,0.08362118,0.06012951,0.04119854,0.028535234,0.021554878,0.018305441,0.01682559,0.015929809,0.01515993,0.01435474,0.01345291,0.012417777,0.0113239065,0.010291599,0.009430035,0.008767952,0.008284334,0.007926569,0.007666895,0.0074579385,0.007267089,0.007053368,0.006857503,0.0067535006]