[0.16168499,0.16278131,0.1655743,0.17010736,0.17684858,0.18633163,0.19937213,0.21617687,0.23561014,0.25451183,0.2692416,0.27749643,0.2799643,0.27889857,0.27703992,0.27518308,0.27260897,0.26714322,0.2578206,0.24652182,0.23822908,0.23872429,0.25053826,0.27172038,0.2958511,0.31554374,0.32451746,0.3212528,0.3090044,0.2945113,0.28272584,0.27454627,0.26712865,0.2576488,0.24560744,0.23249497,0.22068794,0.21132427,0.20496513,0.20072933,0.1980558,0.19562083,0.19224615,0.18610193,0.17604786,0.16241176,0.14701337,0.1325047,0.12002165,0.109588675,0.099647485,0.089556016,0.07854255,0.066628754,0.053383257,0.03977386,0.02780989,0.020999031,0.02292651,0.03694968,0.06409085,0.1013996,0.14099406,0.17358698,0.19301973,0.19958107,0.1981876,0.19473056,0.1924541,0.1918627,0.19202797,0.19299991,0.19544967,0.19972117,0.20383744,0.20430987,0.19747858,0.18173635,0.15884419,0.13358645,0.11174307,0.096571326,0.08890767,0.08932036,0.10020965,0.1225639,0.15161783,0.17645627,0.18565053,0.17382999,0.14422913,0.106036454,0.07010171,0.04508814,0.036609415,0.046043385,0.07060294,0.10236508,0.13176821,0.15128273,0.1594203,0.15921153,0.1552649,0.15089193,0.14787878,0.14706236,0.14843118,0.15107079,0.1534269,0.15389349,0.1513987,0.14562951,0.1373884,0.12814169,0.11898306,0.109802544,0.10061338,0.09447164,0.098244905,0.118840754,0.15646158,0.20205192,0.24128354,0.26336205,0.26594582,0.2544081,0.23621435,0.21760027,0.20296456,0.1963805,0.20094268,0.21639718,0.23799558,0.25804785,0.27122352,0.27651334,0.2774581,0.27685776,0.2756189,0.27179793,0.26439366,0.25365588,0.2412684,0.22821118,0.21445255,0.19989645,0.1854236,0.17318897,0.16484804,0.16053487,0.1586424,0.15768106,0.15737142,0.1585715,0.16153248,0.16516864,0.16760178,0.16774572,0.16586201,0.16292503,0.1598844,0.15697409,0.15447558,0.15289138,0.1544738,0.16196786,0.17706178,0.19700623,0.21568112,0.22719543,0.23028417,0.22846024,0.22648393,0.22744156,0.23115574,0.2354541,0.23651731,0.2317238,0.2206599,0.20619969,0.19116706,0.17667823,0.16179705,0.14675273,0.13469122,0.1306603,0.1382637,0.15635659,0.17908575,0.19789605,0.20547582,0.19779848,0.17616396,0.14692901,0.119912624,0.10302798,0.09729925,0.09665754,0.09398601,0.08873525,0.08784541,0.099280626,0.12407264,0.15459365,0.18099041,0.19793303,0.20660567,0.2101097,0.20902233,0.2015603,0.18746692,0.17254476,0.167051,0.17983855,0.21009827,0.24615371,0.27173623,0.27635774,0.26065326,0.23368765,0.2055856,0.18207699,0.16441774,0.1532525,0.15062116,0.1581813,0.17307365,0.18786438,0.19488533,0.19131167,0.17985247,0.16498359,0.14930892,0.13318308,0.11744115,0.10594506,0.10392839,0.114454955,0.1343472,0.15628879,0.17223352,0.17859428,0.17611636,0.16888468,0.16100703,0.15511848,0.151446,0.14871699,0.14596252,0.1434925,0.14216824,0.14123045,0.13794577,0.12977645,0.11765993,0.1061871,0.10026479,0.10128212,0.10718315,0.116312355,0.12951382,0.14847362,0.17094952,0.1905549,0.19987935,0.19581358,0.18127368,0.1631654,0.14885764,0.14189236,0.14222845,0.14702427,0.15435028,0.16267759,0.17057832,0.17518778,0.17364597,0.16508555,0.15124919,0.13527429,0.1191181,0.10428178,0.09350401,0.09133913,0.10058979,0.118147515,0.1362934,0.14729053,0.14883034,0.14316666,0.13477065,0.12684678,0.12076376,0.11582306,0.11056858,0.104503624,0.099075906,0.09623752,0.09597611,0.096131235,0.094529025,0.09120932,0.08728913,0.084507495,0.085451245,0.09630326,0.12342787,0.16850378,0.22286437,0.27218476,0.30355105,0.31316468,0.30478027,0.28606448,0.263207,0.2403108,0.21956658,0.20324592,0.19382916,0.1931321,0.20063941,0.21272112,0.2246858,0.23273657,0.23614442,0.23598826,0.2343363,0.23251082,0.23104079,0.2294345,0.22636227,0.22030862,0.20990147,0.19465405,0.17497039,0.1529137,0.13204935,0.11567166,0.104232006,0.095067345,0.08692413,0.08375653,0.09282177,0.11659203,0.14802848,0.17431395,0.1862538,0.1834979,0.17305316,0.16314691,0.15943182,0.16354048,0.17492165,0.1915633,0.21064049,0.2275018,0.23760235,0.23846537,0.23254788,0.22458173,0.21910302,0.21679598,0.21622698,0.2149408,0.21188508,0.2070051,0.20130117,0.19610955,0.19281112,0.19238228,0.19502181,0.20028424,0.20688623,0.21301048,0.21628118,0.21540429,0.21053486,0.20356321,0.19590698,0.1883112,0.18050809,0.17230503,0.16314667,0.1529638,0.14302208,0.13615783,0.13458253,0.13773341,0.14270365,0.14684367,0.14945437,0.15118405,0.15269029,0.15419734,0.15550815,0.15581168,0.15369065,0.14841007,0.14190285,0.13965581,0.14831568,0.1711391,0.20417118,0.23782964,0.2621905,0.27289036,0.27176747,0.26399758,0.25371563,0.24246001,0.23004542,0.2169414,0.20546134,0.1987832,0.19836253,0.20258886,0.20774539,0.21072899,0.21045013,0.20741957,0.20222361,0.19478707,0.18512237,0.174327,0.1654228,0.16170843,0.16501845,0.17364776,0.18380904,0.19157003,0.19531423,0.19527759,0.19213752,0.18585509,0.17617762,0.1643761,0.15262693,0.14235169,0.1321372,0.1200721,0.10741645,0.100226365,0.1064753,0.12946725,0.16536616,0.20373751,0.2351861,0.25451836,0.2626343,0.2612438,0.2527115,0.23918343,0.22605817,0.21894568,0.22250247,0.23585929,0.25457656,0.27179667,0.28343216,0.28842315,0.2883674,0.2846634,0.27860153,0.2717694,0.26601133,0.26217535,0.25971863,0.2577345,0.25598583,0.25441384,0.2522658,0.24823695,0.24191612,0.23477902,0.22887923,0.22503744,0.22147746,0.21569575,0.2065326,0.19582695,0.18689705,0.18238448,0.18265502,0.18655731,0.19246495,0.19900453,0.20461106,0.20852883,0.21132343,0.21527617,0.22184299,0.23034213,0.23805805,0.24310893,0.245933,0.24829786,0.25120306,0.2538922,0.2555082,0.25598526,0.25613746,0.25618282,0.2556528,0.25399354,0.25087282,0.24634908,0.24044311,0.23422776,0.22873926,0.22453606,0.22020155,0.21430188,0.20599933,0.1960895,0.18577063,0.17701244,0.17164195,0.1704579,0.1721359,0.17424075,0.17511946,0.17455973,0.17327122,0.17182295,0.17063904,0.16970153,0.16881023,0.16760497,0.16601552,0.16399343,0.16142613,0.15847462,0.15568872,0.1537381,0.15249756,0.15170462,0.15120752,0.15137596,0.15187293,0.1521594,0.15165533,0.15049344,0.14829056,0.1444753,0.1387588,0.13258292,0.12788266,0.1258523,0.12582129,0.1267982,0.12818934,0.1299959,0.13161568,0.13239975,0.13227122,0.13219307,0.13285474,0.13431631,0.1360937,0.13801624,0.13974041,0.14102946,0.14180517,0.14273815,0.1441039,0.14562565,0.14651607,0.14672714,0.14656842,0.14648949,0.14657809,0.14697492,0.1475253,0.1478454,0.14749135,0.14663567,0.14579965,0.14548606,0.14588864,0.14702721,0.14862086,0.14992495,0.15033333,0.1497807,0.14988633,0.1540224,0.16819906,0.19710231,0.24043958,0.28920284,0.33174324,0.35983154,0.3730801,0.37417594,0.3654362,0.34806177,0.3252572,0.30232635,0.28385982,0.27081951,0.26087758,0.25195432,0.24438159,0.24053782,0.24102408,0.24350716,0.24385053,0.24035877,0.23482893,0.231348,0.23273344,0.23915453,0.24857624,0.25779402,0.26299474,0.2589664,0.24170351,0.21190055,0.17950791,0.16064723,0.16844487,0.20309992,0.2502257,0.2909559,0.3127084,0.31464374,0.30333266,0.28728953,0.27300704,0.26273403,0.25410765,0.24232244,0.22603779,0.2109487,0.2065122,0.21770793,0.23984134,0.26230106,0.2771195,0.2835525,0.28568184,0.28645968,0.28570738,0.28067735,0.2694768,0.2519157,0.23271835,0.21910633,0.21897464,0.23278908,0.25469506,0.27450898,0.28564754,0.28471008,0.27024928,0.24258395,0.20832555,0.18457526,0.18962753,0.23026328,0.2907603,0.34548196,0.37478474,0.37825224,0.3662627,0.35046217,0.33555695,0.3225429,0.31058472,0.30018556,0.29217097,0.2873535,0.28481805,0.28200975,0.27654064,0.26777473,0.2572665,0.24690218,0.23778492,0.2304857,0.22641325,0.22792248,0.23686622,0.252327,0.27079427,0.2877141,0.30094394,0.311623,0.32287553,0.3353486,0.3446226,0.34340715,0.32795203,0.30286375,0.2782781,0.26225626,0.25449955,0.24872094,0.23953123,0.22826885,0.22008163,0.21721436,0.21419758,0.2032762,0.18289942,0.16309826,0.15823174,0.17603831,0.20975333,0.24271858,0.2594994,0.2548985,0.23556657,0.21313749,0.19849211,0.19598442,0.20468287,0.2187699,0.23199143,0.23842704,0.23576994,0.2259342,0.21581382,0.21258551,0.21874386,0.22986345,0.23941301,0.24448694,0.2481621,0.25569353,0.27106956,0.2949864,0.32584533,0.35953927,0.390412,0.41295883,0.42364562,0.42086628,0.40341592,0.3723077,0.33298352,0.2957294,0.2696147,0.25725105,0.25441086,0.25478545,0.25415704,0.25023013,0.24146086,0.22674294,0.20764603,0.18967353,0.18050043,0.18534507,0.2020787,0.22130616,0.23083693,0.22393405,0.20328933,0.17994583,0.16479544,0.1621272,0.16804194,0.1763035,0.18322861,0.18858282,0.1928583,0.19587296,0.19775057,0.19955973,0.20230706,0.20546854,0.20794404,0.21065493,0.21777837,0.23491801,0.2643596,0.30246344,0.33980668,0.36646315,0.3758223,0.36713,0.34371248,0.31269142,0.28261766,0.26110327,0.24917929,0.24174266,0.23140907,0.21661222,0.2031867,0.2008567,0.21609145,0.24704528,0.28397846,0.31266567,0.32156923,0.30779922,0.28142384,0.26097396,0.262169,0.28634176,0.3204635,0.34769407,0.35839164,0.3517207,0.33164227,0.30403665,0.27685222,0.25791752,0.25054538,0.2512668,0.25314876,0.25103584,0.24456076,0.2367409,0.23144497,0.230093,0.23153694,0.232635,0.23153646,0.2286153,0.22668062,0.22825462,0.23393852,0.24163832,0.2483298,0.2516553,0.250554,0.24440922,0.23232228,0.21446128,0.19397677,0.17802465,0.17408264,0.1851316,0.20660233,0.22974312,0.24707647,0.25582388,0.2559847,0.24693446,0.22719567,0.19935721,0.1749083,0.17220066,0.20344448,0.2625923,0.32398674,0.3602455,0.35920587,0.3306258,0.29258868,0.2594053,0.23457225,0.21772148,0.20878054,0.21116042,0.22561632,0.2477032,0.2665695,0.2732729,0.26591313,0.25250372,0.2431321,0.2439989,0.25286102,0.2638624,0.27190515,0.27561185,0.27555087,0.27236554,0.26723325,0.26191977,0.2583516,0.2559113,0.25125614,0.2403943,0.22329074,0.20624186,0.19889247,0.20754464,0.2302007,0.25905108,0.286263,0.30824426,0.3244567,0.33512822,0.34013525,0.33913517,0.33186492,0.3188783,0.30290914,0.28881833,0.28046212,0.27800718,0.27789178,0.27684188,0.27370843,0.26868942,0.26003274,0.24435152,0.21994813,0.19109137,0.1676612,0.15974475,0.17082001,0.19492997,0.22058201,0.23821987,0.24619682,0.2502915,0.25758743,0.26983654,0.2817063,0.28484654,0.27344573,0.24785471,0.21456115,0.18309885,0.16193378,0.15487121,0.16130434,0.17681016,0.19551057,0.2106799,0.2184012,0.21859737,0.21531534,0.21250457,0.21193422,0.2123047,0.21162702,0.2087381,0.20419757,0.19973063,0.19769478,0.20042187,0.20954143,0.22462994,0.24307662,0.26053938,0.27375233,0.28131127,0.28441238,0.28469315,0.283825,0.28253284,0.28121567,0.2797689,0.27796972,0.27560636,0.27273777,0.26965153,0.2667463,0.2645208,0.26355898,0.26432848,0.2667264,0.26985407,0.27228475,0.27249065,0.26928094,0.26171145,0.24930452,0.23201065,0.2108228,0.18776585,0.16570348,0.14699674,0.13261731,0.12204248,0.11433915,0.108979784,0.10575611,0.10426625,0.10362405,0.102876954,0.10129541,0.098643035,0.095026106,0.090796255,0.086353324,0.082138725,0.07865473,0.07636554,0.0754326,0.07550033,0.07581868,0.07557282,0.07426169,0.071836434,0.06877902,0.065883376,0.06393999,0.063185096,0.06320553,0.06325101,0.06292549,0.062428653,0.062258393,0.062696636,0.06360695,0.06469712,0.06566778,0.06626684,0.066171594,0.06667901,0.07406666,0.101664245,0.16344841,0.25822985,0.35996553,0.42693695,0.4320571,0.38069165,0.30607066,0.24030189,0.19859143,0.17822272,0.1720623,0.1746732,0.18211687,0.18933289,0.19032669,0.18242139,0.16765995,0.15159625,0.1387859,0.13095362,0.1280607,0.1329755,0.15357856,0.20255816,0.2826797,0.37863734,0.45216358,0.47131112,0.42812136,0.35096574,0.2757387,0.22718881,0.20537187,0.19923556,0.1968274,0.19276904,0.1858067,0.17611742,0.16401494,0.15092872,0.13979024,0.13381472,0.13484521,0.14218529,0.1545379,0.17329736,0.20671177,0.2644153,0.3445662,0.42291534,0.46322623,0.44377717,0.3757129,0.293941,0.23005478,0.19471282,0.1811444,0.1791076,0.18471561,0.19793117,0.21816601,0.23955493,0.25561452,0.2621437,0.26052946,0.2538831,0.24507447,0.23513632,0.227879,0.23170443,0.26112083,0.3207929,0.39811632,0.45685324,0.4676132,0.42270026,0.3485173,0.27602378,0.22613929,0.19803871,0.18404877,0.17710148,0.17537527,0.17758654,0.18098487,0.18214004,0.17979021,0.17564076,0.1726694,0.17334746,0.17778449,0.18586898,0.19927335,0.22640388,0.2762838,0.34792447,0.41954598,0.45868888,0.44526887,0.38769427,0.31576577,0.2574293,0.2242312,0.21231097,0.2134114,0.22232221,0.23631065,0.25325525,0.26899025,0.28058442,0.2865808,0.28834757,0.28731024,0.28469586,0.2813886,0.28091517,0.2906214,0.3215219,0.37630972,0.44363213,0.4948958,0.50819933,0.47916183,0.42938915,0.3829037,0.35602152,0.34699634,0.34784806,0.34875596,0.34452793,0.3320229,0.31095967,0.28442332,0.25888982,0.2410453,0.23262413,0.23074283,0.23096465,0.23279695,0.24120879,0.2662575,0.31612042,0.3860291,0.4521657,0.48268685,0.46131977,0.40016067,0.32949784,0.27415997,0.24146211,0.22568737,0.21968557,0.22059123,0.22766073,0.23933172,0.25099716,0.2583953,0.25931296,0.25573906,0.25068137,0.24656682,0.24341221,0.2437836,0.25489593,0.29053724,0.3541104,0.43165708,0.48683572,0.49293408,0.4458001,0.37332702,0.30483478,0.25922316,0.23509187,0.22512645,0.22150046,0.22157638,0.22433601,0.22864377,0.23119259,0.22953188,0.22366697,0.21704304,0.21304011,0.21330081,0.21687539,0.22180279,0.22642474,0.23008603,0.23321776,0.23664819,0.24103974,0.24657433,0.2528065,0.2591567,0.26513442,0.27073288,0.27581283,0.27959588,0.2807609,0.27842712,0.27311733,0.26663506,0.26113367,0.2579247,0.25701946,0.2573875,0.25787506,0.25769317,0.25666884,0.25511423,0.25414044,0.2552826,0.25976637,0.26725385,0.27627584,0.2849832,0.29237434,0.2973038,0.29862055,0.2953426,0.288887,0.28238395,0.27892467,0.2789954,0.28030017,0.2799684,0.27566013,0.26771954,0.25815064,0.25098267,0.24878387,0.25153366,0.25632364,0.26076505,0.26532856,0.27254903,0.28404668,0.29850397,0.31298184,0.32498717,0.33367285,0.33921278,0.34238935,0.3441366,0.34543875,0.3467892,0.34820554,0.3491386,0.34883535,0.34657785,0.34272584,0.33898547,0.33781043,0.34038004,0.34590638,0.3523864,0.35859606,0.36357883,0.36590818,0.36271572,0.35294914,0.33858824,0.3248477,0.31578386,0.3126564,0.31388247,0.31731617,0.32109323,0.3236139,0.32403776,0.32288888,0.32175913,0.3218663,0.3224908,0.321372,0.31493127,0.2998239,0.27442762,0.24421431,0.22352163,0.23290563,0.28264228,0.36259827,0.44024053,0.4848298,0.4842744,0.45338252,0.4146644,0.3840405,0.3630034,0.3493038,0.3448005,0.3592948,0.39631534,0.44676197,0.48450765,0.4907486,0.4615544,0.4159383,0.37288392,0.34571922,0.33414903,0.33507642,0.3440199,0.35845044,0.37405407,0.38535592,0.38642904,0.37539196,0.35496354,0.33134082,0.3099078,0.2935569,0.2823607,0.27507356,0.27031693,0.26801357,0.26904097,0.27437076,0.28319058,0.29368803,0.3037558,0.31182852,0.31609038,0.3146704,0.30706367,0.2950276,0.28270695,0.2750505,0.2764584,0.28807977,0.30606535,0.32144025,0.32370114,0.30592144,0.26936135,0.2237543,0.18588024,0.17345768,0.20187211,0.26989266,0.35862175,0.43018615,0.45933995,0.4421253,0.40246192,0.3590916,0.31880093,0.27426356,0.22704037,0.18978994,0.18037449,0.20404105,0.2492706,0.2932837,0.3185158,0.31997967,0.30589512,0.28705046,0.27135357,0.26052514,0.25320783,0.24703197,0.24106182,0.2360779,0.23355258,0.23330486,0.23349674,0.23161787,0.2282276,0.22529198,0.22470343,0.22524767,0.2285619,0.24392724,0.28325284,0.34771237,0.41674283,0.4633608,0.47113717,0.44841918,0.41331962,0.38288787,0.36344555,0.35863042,0.3712269,0.40504417,0.45427394,0.5036474,0.53060967,0.52527624,0.49326673,0.45359358,0.4198536,0.39675605,0.38167295,0.37231556,0.36865985,0.3707353,0.37716818,0.38312507,0.38297835,0.37320518,0.35538837,0.33470955,0.31612778,0.30251136,0.2947727,0.29339573,0.29697728,0.3016691,0.30167884,0.29358697,0.27801117,0.2592086,0.2410649,0.22635339,0.21624273,0.21158527,0.21362954,0.22669788,0.2594543,0.3159776,0.38689938,0.44665742,0.47364452,0.46551087,0.44165245,0.42345262,0.41988072,0.42679313,0.43815854,0.453079,0.47514233,0.5014116,0.5226225,0.52427816,0.5049325,0.4731604,0.44644192,0.43300477,0.4333849,0.4410456,0.4505899,0.45728767,0.45665094,0.4451625,0.42235795,0.39131615,0.355476,0.31896147,0.28942287,0.2819109,0.30676067,0.35822105,0.40697753,0.42450067,0.4019127,0.36004516,0.32464007,0.30713394,0.29769278,0.28168646,0.2549588,0.22561793,0.20375799,0.19295496,0.19404157,0.21527462,0.26543275,0.3414236,0.41458693,0.45469308,0.44795653,0.41183403,0.3707409,0.34307227,0.33157238,0.33548495,0.35358036,0.38666534,0.42780817,0.46477008,0.48028925,0.46934402,0.43593583,0.3949968,0.3558731,0.3254399,0.30425477,0.2935439,0.293057,0.30285105,0.32014573,0.3387219,0.34987327,0.34816054,0.33379483,0.31165767,0.28662503,0.262795,0.24416049,0.23412998,0.23370679,0.23932119,0.2461055,0.25020266,0.2519611,0.25245047,0.2516695,0.2461888,0.2331742,0.2128542,0.19095409,0.17528795,0.17267965,0.18403243,0.20442788,0.22474265,0.23787154,0.24138975,0.23774897,0.23100923,0.2242618,0.22011833,0.22219336,0.23771186,0.27456644,0.331439,0.39240146,0.43012264,0.4283725,0.38954282,0.33455515,0.28052005,0.23587584,0.19937964,0.1725231,0.1615551,0.17476742,0.21210603,0.26054254,0.29925308,0.31406912,0.3048314,0.28263244,0.2580762,0.23698507,0.22044082,0.20913942,0.20274238,0.19991063,0.19753747,0.19331972,0.18609826,0.17720802,0.16921449,0.16605009,0.16922285,0.17523284,0.1787012,0.18089421,0.19807196,0.2449991,0.32081452,0.39574078,0.4418901,0.44773293,0.43077794,0.4096266,0.39648473,0.3909504,0.39384136,0.40756074,0.43602493,0.47441173,0.5107406,0.52840716,0.5231159,0.50205904,0.48139918,0.4693178,0.46613684,0.46623185,0.46591225,0.46375665,0.45793703,0.44586623,0.42415178,0.3930347,0.35481223,0.313522,0.27196655,0.23328066,0.1998691,0.17302036,0.15243317,0.1404982,0.14161645,0.15873857,0.1857211,0.21055572,0.22168308,0.21631537,0.19976999,0.1820208,0.17166151,0.17501636,0.1957214,0.23987092,0.30679274,0.38762537,0.4569544,0.49592832,0.49803934,0.4801278,0.45950237,0.44774398,0.44283032,0.4423394,0.44683614,0.46212503,0.4865181,0.5108139,0.5185763,0.5061034,0.47979888,0.4565984,0.444525,0.44493052,0.45112145,0.45807514,0.46211076,0.46073887,0.45090067,0.42955765,0.3965002,0.35450828,0.30865893,0.2650676,0.2302296,0.20923972,0.20196249,0.20304196,0.20567364,0.20702678,0.20846115,0.21175647,0.21619813,0.21930756,0.2194578,0.21655555,0.21081674,0.20239572,0.19536102,0.20031737,0.23278457,0.29599595,0.3739262,0.43252137,0.4506302,0.4300994,0.39642024,0.36978677,0.3574973,0.35319534,0.35343456,0.36123097,0.38429156,0.4213659,0.4595041,0.47845295,0.47044608,0.443216,0.4153153,0.39665803,0.38671875,0.37826183,0.36909154,0.3630155,0.3654664,0.37604687,0.38686827,0.38885936,0.37976268,0.36595657,0.35589936,0.3526386,0.3520055,0.34608892,0.3280932,0.29759675,0.2622443,0.2342928,0.21882562,0.20860676,0.19024205,0.16151805,0.1377453,0.14139146,0.18265586,0.25219387,0.33023688,0.4020071,0.4588313,0.49476016,0.50033885,0.4768298,0.43731806,0.4062386,0.39711502,0.4096857,0.43131188,0.45351753,0.4750133,0.4997851,0.524786,0.5393873,0.52980393,0.49487945,0.44550827,0.40023932,0.36922094,0.35334012,0.34586844,0.3425454,0.3441255,0.35408878,0.37211037,0.3903476,0.39895067,0.3925959,0.37439469,0.3505104,0.32498053,0.29757044,0.2676799,0.23858833,0.21790785,0.21232337,0.22166036,0.23789771,0.25149056,0.25785705,0.25934395,0.26081884,0.26527622,0.27255392,0.28314587,0.30127743,0.33450508,0.38382438,0.43893608,0.47842392,0.48775518,0.46634385,0.4304249,0.39649335,0.37474024,0.36558774,0.36783674,0.38329768,0.41426525,0.4565339,0.49427438,0.50986075,0.49636558,0.46437004,0.43131474,0.40919492,0.39909863,0.39756462,0.4027704,0.4162412,0.4377378,0.46200362,0.4786247,0.47964612,0.46441707,0.44131264,0.42098248,0.41063142,0.4107808,0.41877162,0.43161812,0.4495648,0.4690993,0.4850047,0.48606327,0.47085497,0.44330847,0.41769078,0.40078244,0.39463678,0.3926969,0.39245808,0.3956964,0.41026142,0.4371697,0.4684756,0.48721635,0.4859593,0.46859416,0.4487938,0.43383053,0.4245626,0.41825607,0.41505858,0.41850016,0.43146417,0.45252505,0.47269663,0.4810072,0.47329295,0.45585695,0.44025186,0.43339074,0.435532,0.44293484,0.452566,0.46434882,0.47780776,0.49063006,0.4950913,0.4873117,0.46940038,0.45246384,0.44345406,0.44305006,0.4450601,0.44787374,0.45450532,0.47116432,0.49567452,0.51871413,0.5254657,0.51161665,0.48342538,0.4568713,0.44195485,0.44012764,0.44493493,0.4514993,0.4599128,0.47310472,0.48895597,0.49850395,0.49006292,0.46124312,0.41898796,0.37632486,0.34097174,0.31621242,0.30117613,0.29544553,0.2967197,0.3010567,0.3028895,0.29871246,0.28890398,0.27675048,0.26554263,0.25564247,0.2467794,0.23917247,0.23567693,0.23760901,0.24401195,0.25051758,0.25375187,0.25213346,0.24573201,0.23308317,0.21255761,0.18610485,0.16313283,0.15623526,0.17293645,0.20846252,0.24882515,0.27947548,0.29358414,0.2941266,0.28931987,0.28760007,0.29103222,0.2953765,0.29161394,0.27489874,0.24856164,0.22434688,0.21315491,0.21809043,0.23319595,0.24985595,0.2625253,0.2700114,0.27294335,0.27166924,0.26588854,0.25598043,0.24362244,0.23230861,0.22525404,0.22459988,0.2293154,0.23724468,0.24523084,0.25164056,0.2552584,0.25547218,0.25105533,0.24359296,0.24054842,0.25687853,0.30146745,0.36788717,0.42842552,0.4581919,0.44719294,0.410666,0.36761007,0.33240393,0.30565166,0.2844025,0.266105,0.25298136,0.24776047,0.25019458,0.25547168,0.25778744,0.25458267,0.24779655,0.24139585,0.23760724,0.23712707,0.24244483,0.26165286,0.30344033,0.36582437,0.4306705,0.4726666,0.48015606,0.46103868,0.43598095,0.41855454,0.41128734,0.4073014,0.39995885,0.38642082,0.36882222,0.3528216,0.3424395,0.33825204,0.33662546,0.33478224,0.3328909,0.33299118,0.33566988,0.33823034,0.3398377,0.34404936,0.35773253,0.38246557,0.4113622,0.43443248,0.44650996,0.45055994,0.4516857,0.45384732,0.4578168,0.464137,0.47197595,0.48024347,0.48659948,0.49030766,0.4908509,0.4895064,0.48680723,0.48455694,0.4836233,0.4856067,0.49148238,0.5039993,0.5255137,0.5552607,0.58375955,0.5971202,0.58554,0.5546499,0.52050966,0.49898502,0.49306592,0.49539986,0.496695,0.49310407,0.48685667,0.4811248,0.47856823,0.47919598,0.4822663,0.485817,0.48876265,0.49180844,0.49671745,0.5046986,0.5144477,0.52324915,0.5284335,0.5277059,0.5209031,0.5090089,0.49681628,0.48798153,0.48476854,0.48485708,0.4861143,0.48732212,0.4883978,0.48839054,0.48567626,0.4807073,0.4753771,0.47241092,0.47239062,0.47584543,0.48276654,0.49380407,0.5078992,0.52408856,0.54184294,0.56183285,0.5829918,0.59949106,0.6020973,0.5822329,0.54045737,0.4860156,0.43310153,0.39091507,0.36158177,0.34235993,0.32889625,0.31697723,0.30078518,0.27730927,0.24817675,0.22245651,0.20912302,0.21167791,0.22422655,0.23761155,0.244321,0.24228048,0.2345115,0.22871047,0.23378874,0.25307497,0.28051686,0.30438003,0.31599423,0.3145695,0.30461705,0.29257756,0.28368664,0.28235522,0.2889981,0.30059275,0.3102816,0.3119285,0.3021822,0.28393486,0.26438347,0.25134662,0.24683039,0.24721432,0.2463302,0.24216437,0.23629288,0.23251672,0.23198141,0.23424385,0.2375346,0.24110217,0.24427366,0.24606316,0.24462794,0.23779511,0.2253329,0.21012758,0.19865888,0.1961379,0.20335221,0.21491845,0.2246144,0.22879662,0.22833979,0.22488387,0.2186337,0.20764244,0.1943561,0.18925194,0.21090429,0.2669421,0.34530804,0.4118854,0.44124827,0.42793044,0.39191338,0.35262188,0.3212302,0.29596594,0.27370766,0.25408152,0.24134713,0.24033892,0.25180218,0.26973507,0.28413746,0.2863383,0.27535626,0.25721934,0.24216919,0.23801218,0.25023997,0.28191248,0.33288658,0.39412224,0.44690725,0.47257674,0.46553862,0.43702564,0.4051446,0.3816581,0.36813447,0.3600527,0.35392126,0.34945214,0.34821603,0.35163307,0.35839316,0.36640278,0.3725957,0.37709868,0.38080928,0.38615632,0.39249253,0.39909014,0.40500686,0.41277555,0.42363182,0.43715605,0.44929013,0.45856115,0.4656649,0.47345027,0.48221588,0.49054313,0.4972478,0.5025384,0.50913286,0.51913834,0.5351519,0.55581975,0.57835203,0.5965365,0.60703844,0.6087056,0.6055415,0.60153776,0.60112935,0.60667425,0.61979085,0.637044,0.6484062,0.64059705,0.6073797,0.55702806,0.50823647,0.47810772,0.47143713,0.48064348,0.49349785,0.50289136,0.50893736,0.51588887,0.52464306,0.53316087,0.53798366,0.5398033,0.5406018,0.5421028,0.54280204,0.5412967,0.53775793,0.5331519,0.527366,0.5180539,0.5054994,0.49243113,0.48500225,0.4855189,0.49291387,0.5023944,0.5114191,0.51914525,0.5254567,0.5287869,0.528135,0.5250682,0.5233031,0.526329,0.53485316,0.5470609,0.5594852,0.5700385,0.57882625,0.58787566,0.59720445,0.60215664,0.59325695,0.56090194,0.5024273,0.42631295,0.34989235,0.28958857,0.2528009,0.23581491,0.23004895,0.2279794,0.22621453,0.2240442,0.22169869,0.2191736,0.21623832,0.21297038,0.20972578,0.20705433,0.20492934,0.20319939,0.20149393,0.20013086,0.19931914,0.19947203,0.20003253,0.20043395,0.19995552,0.19896668,0.1979639,0.19721453,0.19624333,0.19469674,0.19300954,0.19184119,0.19158913,0.19189787,0.19269997,0.19400449,0.19596209,0.1978736,0.19896124,0.1985933,0.19727205,0.19576682,0.19498582,0.19483048,0.19488813,0.19418742,0.19240208,0.18942696,0.18585964,0.18217283,0.17892212,0.1764183,0.17500444,0.17474169,0.17539835,0.17645048,0.17785299,0.18004376,0.1836373,0.18816632,0.19231324,0.19452006,0.1943713,0.19250274,0.19027334,0.1885222,0.18756735,0.18692218,0.18645595,0.18576431,0.18476446,0.18284672,0.18028773,0.17773367,0.17633127,0.1762545,0.17693438,0.17751859,0.17780751,0.17841421,0.18025504,0.18403791,0.18955596,0.19558358,0.20015353,0.2015031,0.19904931,0.19343287,0.18621665,0.17880821,0.1722814,0.16712813,0.16368149,0.16221887,0.16277622,0.165199,0.16896875,0.17374136,0.17903884,0.18430372,0.1886086,0.191289,0.19248366,0.19338346,0.19525082,0.19831346,0.20118827,0.20221102,0.20059459,0.19729947,0.19377118,0.19119458,0.18979718,0.18951528,0.19043815,0.19271581,0.19619185,0.19983707,0.20249133,0.20346473,0.20315476,0.20233752,0.20148592,0.20037001,0.19868137,0.19659002,0.19508737,0.19500788,0.19637443,0.19793974,0.19843005,0.19722877,0.19476445,0.19162776,0.18840398,0.18560039,0.18396509,0.18407921,0.18619633,0.18990318,0.19430457,0.1979755,0.19962329,0.1985256,0.19490562,0.1895919,0.18372633,0.17860429,0.1753545,0.17452501,0.17575085,0.17809577,0.18066353,0.18300076,0.18514228,0.18712203,0.18875946,0.18931414,0.18813324,0.18495373,0.18090755,0.17812335,0.17920625,0.1852962,0.19527803,0.20607828,0.21435155,0.21817458,0.21720861,0.21288842,0.20709772,0.20221795,0.19950944,0.19974081,0.2023707,0.20664676,0.21100742,0.21403205,0.21466148,0.2129535,0.20990317,0.20668352,0.20428999,0.20277411,0.20137323,0.19790225,0.19038564,0.17849982,0.16535592,0.15557718,0.15247117,0.1556431,0.16200016,0.1681783,0.1720895,0.17304172,0.17119074,0.16792138,0.165644,0.16683859,0.17194349,0.17874946,0.18340419,0.18287756,0.17657812,0.16666284,0.15681331,0.15042643,0.1489877,0.15189062,0.15709443,0.16250052,0.16641736,0.16801511,0.16713345,0.16398318,0.15926476,0.15397704,0.14993797,0.14814408,0.14868496,0.15015186,0.15185253,0.1537859,0.15669116,0.16038741,0.16399813,0.16641219,0.16730118,0.16707689,0.16643621,0.16562153,0.16434814,0.16209108,0.15876807,0.1548341,0.15119706,0.14861313,0.14735188,0.14692235,0.1465727,0.14566447,0.1444125,0.1436078,0.14491124,0.14928304,0.15658753,0.16426301,0.16965663,0.1710803,0.16959453,0.16714549,0.16552614,0.16495775,0.16474666,0.16407381,0.16298532,0.16212492,0.16192414,0.16192548,0.16135986,0.1599314,0.15792286,0.15571247,0.15340398,0.15139215,0.15054874,0.15215187,0.15694495,0.1645946,0.17358458,0.18177617,0.1873384,0.18906267,0.18678498,0.18100761,0.17337213,0.16586582,0.16033041,0.15714832,0.1556231,0.15494786,0.1551903,0.15704219,0.160619,0.16514355,0.16919555,0.17173362,0.17225005,0.17116104,0.16952114,0.16883324,0.16988266,0.17223553,0.17451166,0.17556363,0.17520988,0.17381193,0.17178865,0.16933614,0.1669543,0.16546078,0.16582093,0.16843267,0.1727191,0.17708617,0.17988776,0.18050282,0.17977728,0.17917459,0.17956288,0.18081175,0.18220212,0.18334717,0.18432193,0.18527178,0.18582481,0.18513702,0.18278193,0.17904155,0.17486827,0.1709557,0.16791414,0.16616876,0.166297,0.16826321,0.17177434,0.1761576,0.18108498,0.18574499,0.18911612,0.18990763,0.1878015,0.18350762,0.17860658,0.17441185,0.17161687,0.17022775,0.17025216,0.17150575,0.17364973,0.17588018,0.17761266,0.17843121,0.17813046,0.17659943,0.17438422,0.17298765,0.17424737,0.17930073,0.1879036,0.19861841,0.20942813,0.21817456,0.2234239,0.22459565,0.22271661,0.21941273,0.21700932,0.21677703,0.2191634,0.22306073,0.22722816,0.23066606,0.23296899,0.23419105,0.23419426,0.23327796,0.2311747,0.2282116,0.22437869,0.2206602,0.21732938,0.21462111,0.21176518,0.20882706,0.20602077,0.20394973,0.20178016,0.19805373,0.191481,0.18271117,0.17378716,0.16662686,0.16165078,0.1580439,0.15490013,0.15190767,0.14898753,0.14605987,0.14301868,0.14013101,0.13775885,0.13598453,0.13457148,0.13326246,0.13212286,0.13091576,0.12897633,0.12518887,0.11924848,0.1117914,0.104226284,0.09753361,0.09196893,0.08724046,0.083008714,0.079442345,0.07739696,0.07876679,0.085233234,0.09687936,0.11059597,0.12170134,0.12630834,0.124046825,0.11754776,0.11093671,0.10717776,0.10707445,0.10919989,0.11184616,0.11447922,0.11798858,0.12298405,0.1282157,0.13077337,0.12771712,0.118518144,0.105569094,0.09300965,0.083588816,0.077661894,0.07448522,0.0748503,0.08036389,0.09074905,0.10183255,0.10784615,0.104690574,0.09211298,0.0731072,0.05318284,0.038950134,0.035885673,0.04521964,0.06258603,0.08038706,0.092268445,0.096675254,0.09629357,0.095137335,0.095460266,0.09731037,0.099567704,0.10136654,0.10251392,0.10328712,0.10395134,0.104390584,0.10402143,0.10227855,0.09927995,0.09602722,0.093583085,0.09283643,0.09539443,0.10533315,0.12689616,0.16029483,0.19758236,0.22724758,0.24081118,0.23883982,0.22739889,0.21367486,0.20113806,0.19101457,0.1828356,0.1768906,0.17310852,0.17162542,0.17135529,0.1711786,0.16992772,0.16752808,0.16437505,0.16128184,0.15894067,0.15792803,0.158418,0.15971439,0.16050462,0.15917318,0.15518075,0.14891356,0.1418426,0.13522528,0.13008265,0.12649232,0.123966396,0.12156751,0.11887926,0.11630577,0.11483797,0.11491761,0.11595755,0.1166172,0.11606262,0.11440241,0.1125316,0.1111615,0.11094872,0.113236256,0.120659865,0.13606174,0.15927185,0.18570286,0.20712417,0.2173173,0.21480274,0.20401913,0.19057316,0.17898048,0.1704979,0.16507518,0.16180941,0.16016845,0.15950175,0.15937011,0.15914099,0.15811478,0.15570141,0.15203154,0.14823492,0.1458214,0.145652,0.14736742,0.14936684,0.14994843,0.147582,0.14216886,0.13407552,0.12483188,0.11566374,0.108165525,0.102556415,0.09815669,0.09336445,0.08804812,0.08401651,0.083915435,0.08863538,0.09653937,0.10553619,0.11504171,0.1257102,0.13614237,0.141961,0.13957281,0.1320846,0.1305549,0.14493652,0.175581,0.2099468,0.2341655,0.24074358,0.23299527,0.21748507,0.20032258,0.18429928,0.17070173,0.16027157,0.15426223,0.15408587,0.15986113,0.16889334,0.17668785,0.17936222,0.1762224,0.1692112,0.16088493,0.1526729,0.14527266,0.14023401,0.1394115,0.14350139,0.15014668,0.15581934,0.15792812,0.15667546,0.15379594,0.1510759,0.14932877,0.14850038,0.14804445,0.1474173,0.14651203,0.14594191,0.1461915,0.14692049,0.14646679,0.14351155,0.13857141,0.1353082,0.13786499,0.14732593,0.15887038,0.16511701,0.16202559,0.15220928,0.14203466,0.13535035,0.13153033,0.12712975,0.12072352,0.11351731,0.10898662,0.10942408,0.11540344,0.124799825,0.1346728,0.14181562,0.14440471,0.14198993,0.13595067,0.12875684,0.12298995,0.11933895,0.11618068,0.11118659,0.10486016,0.10057846,0.10214286,0.10939953,0.1192769,0.12780666,0.13354833,0.13642235,0.13746227,0.13722788,0.13605194,0.13307743,0.1273637,0.11916107,0.110993475,0.105859704,0.10444743,0.10441142,0.10247695,0.09782802,0.0921002,0.08780094,0.08632351,0.08963523,0.10113019,0.12374858,0.15543568,0.18769978,0.21039219,0.21761458,0.21067084,0.19483297,0.17578493,0.15729971,0.14197184,0.13210367,0.12921925,0.13288575,0.13976909,0.14581634,0.14856261,0.14856704,0.1477059,0.14736658,0.14774238,0.14865513,0.15039098,0.15359229,0.15805322,0.16212982,0.16313313,0.15961199,0.15212595,0.14327987,0.13563296,0.13091724,0.12873904,0.12754807,0.12548675,0.12303411,0.12232334,0.1256992,0.13243742,0.13940641,0.14302488,0.14240624,0.13957335,0.13777287,0.1392001,0.1441739,0.15244378,0.16385569,0.17799282,0.19240682,0.20360488,0.2092969,0.21071063,0.21049458,0.2102157,0.20877896,0.20508236,0.19959112,0.19422847,0.19031256,0.18723024,0.18404697,0.1801188,0.176826,0.1754411,0.17722523,0.18127544,0.18580866,0.18833067,0.18801624,0.18581097,0.18371703,0.18291755,0.18306588,0.18335861,0.18304686,0.18197401,0.17997175,0.17752637,0.17532714,0.17393558,0.17293894,0.1714586,0.16871995,0.164684,0.1598525,0.1550163,0.15067448,0.14706415,0.14435856,0.14270614,0.14164092,0.14035587,0.13949083,0.14238127,0.15302946,0.171588,0.19263381,0.20822048,0.21374126,0.20967437,0.19992246,0.18749146,0.17380537,0.15899783,0.14420202,0.1314911,0.12345248,0.121307254,0.12419391,0.1295116,0.13465339,0.13832715,0.1405253,0.14140593,0.14073353,0.13876922,0.13724978,0.13858525,0.14349635,0.14980231,0.15416397,0.15490972,0.15307617,0.15081096,0.14936255,0.14831443,0.14628357,0.14205132,0.13573235,0.12883472,0.12319109,0.119291626,0.11624971,0.113226034,0.111102454,0.11196994,0.118011646,0.12932394,0.14446151,0.16043085,0.17566551,0.1890375,0.20011742,0.20621832,0.20524468,0.19693255,0.1859036,0.17803441,0.17756343,0.1833273,0.1907388,0.19505578,0.19508572,0.1929716,0.19154143,0.19166486,0.19197871,0.19073711,0.18748285,0.18323785,0.1794662,0.17708911,0.17663415,0.17835242,0.18231015,0.18756725,0.19256465,0.1957631,0.19671889,0.1957295,0.19326746,0.18961178,0.18531077,0.18149626,0.17953257,0.18047608,0.18436366,0.19024415,0.19602133,0.19968088,0.20029151,0.19931442,0.19962113,0.20361187,0.21124725,0.22017604,0.22809197,0.2344407,0.240735,0.24783212,0.25480592,0.25901604,0.25869095,0.2537695,0.24541943,0.23503558,0.2239479,0.21373306,0.20520113,0.19796942,0.19091783,0.18361884,0.17646186,0.169264,0.16110598,0.15162455,0.14280564,0.13774393,0.13819845,0.14291583,0.14889093,0.15319037,0.1542388,0.15178311,0.14678927,0.14082439,0.13537158,0.13137966,0.12917279,0.12867051,0.12927866,0.13038452,0.13163714,0.1330365,0.13457304,0.13608389,0.13757886,0.13907045,0.14058425,0.14198536,0.14335531,0.14474203,0.1459951,0.1468644,0.14731391,0.14760596,0.14774568,0.14760144,0.14697854,0.1459282,0.14432187,0.14205466,0.13929284,0.13652249,0.13403614,0.13167174,0.1294081,0.12753914,0.12650688,0.12617856,0.12632132,0.12679107,0.12783082,0.12950514,0.13179633,0.13472039,0.13841407,0.14324963,0.14902046,0.15499014,0.1591521,0.16025536,0.15816249,0.15477538,0.15162843,0.1495363,0.14812863,0.14716119,0.1463018,0.14532578,0.14407642,0.1428225,0.14178582,0.14090165,0.13993885,0.1389991,0.13817877,0.13780104,0.13926883,0.14660285,0.16417049,0.19310234,0.22793658,0.26027083,0.28361097,0.2970436,0.30240119,0.30138218,0.2947402,0.28440526,0.27413198,0.26699856,0.26286706,0.25817242,0.25010666,0.23958512,0.23156357,0.22989984,0.2339884,0.23828067,0.2371753,0.22922783,0.21836011,0.21122573,0.21218735,0.2210954,0.23261966,0.2395801,0.23461066,0.21413623,0.1813628,0.14901887,0.13399257,0.14693837,0.1835983,0.2275366,0.2621435,0.27999,0.2843268,0.28170455,0.2779765,0.27461097,0.270588,0.26145953,0.24430078,0.22058237,0.19928987,0.19046621,0.19846714,0.21779953,0.23903196,0.2553065,0.2655779,0.27123627,0.2728854,0.26936176,0.25976822,0.24503027,0.22904892,0.21679093,0.21269767,0.21677859,0.22552502,0.23333348,0.23774427,0.23946913,0.24035291,0.23869778,0.22957818,0.21100932,0.19094752,0.18793587,0.21719868,0.27756906,0.34656098,0.39778626,0.4164814,0.40764698,0.38528323,0.3611809,0.33909547,0.31708097,0.294135,0.27173397,0.2533019,0.2396047,0.22912897,0.21980558,0.21131384,0.20439415,0.19926488,0.19537045,0.19200726,0.18966492,0.18987261,0.19501682,0.20631826,0.22366743,0.24504428,0.26814902,0.2901174,0.30800363,0.3183459,0.3184346,0.3073833,0.28818345,0.2669727,0.25090638,0.24243261,0.2383337,0.2321446,0.22186287,0.21148556,0.20697737,0.20804125,0.20724326,0.19700056,0.1785413,0.16250353,0.16002984,0.1734814,0.19438587,0.21060742,0.21418281,0.20567048,0.1919021,0.1814474,0.1797185,0.18727201,0.20036845,0.21342508,0.22087003,0.21949549,0.21013339,0.19804151,0.18988685,0.18888764,0.19263901,0.1957245,0.19550045,0.19485109,0.19946356,0.21275188,0.2327358,0.25429207,0.27222905,0.28428307,0.29059565,0.29316103,0.29349887,0.29173335,0.2857135,0.27407423,0.257816,0.24156845,0.22910239,0.22185345,0.21778369,0.21497478,0.21161513,0.20604278,0.1958071,0.18068331,0.1648197,0.15616472,0.16045803,0.17716014,0.19889313,0.21642126,0.22158521,0.21107878,0.18764825,0.16138689,0.1434871,0.13979979,0.14670436,0.15658931,0.16350694,0.16620655,0.16551983,0.16281085,0.1595235,0.15740696,0.15736891,0.15862177,0.16009636,0.16234738,0.16874568,0.18268849,0.20524926,0.23296332,0.26010856,0.28012583,0.28840074,0.28270254,0.26616165,0.2468366,0.23526907,0.23587199,0.24347441,0.24600352,0.23588152,0.21606968,0.19812138,0.1918695,0.19892402,0.21272862,0.22459006,0.2282344,0.22198458,0.20926414,0.197784,0.1961559,0.20769578,0.22809334,0.24847333,0.26189366,0.26590785,0.26132968,0.25118557,0.24026494,0.23436137,0.23568724,0.24127857,0.24419843,0.23925507,0.22614513,0.20947619,0.19551915,0.18783797,0.1858157,0.1853847,0.18319105,0.17896535,0.17578506,0.17747821,0.18547362,0.19799416,0.21072537,0.21973251,0.22275694,0.21960182,0.21093954,0.1975168,0.18140768,0.16648196,0.158136,0.15879612,0.16622128,0.1743387,0.17864436,0.17836477,0.1747741,0.16746716,0.15346946,0.13075311,0.10257605,0.07979355,0.07864398,0.112273656,0.18174367,0.26993713,0.35066268,0.4013878,0.41663346,0.4045843,0.37975463,0.35244417,0.32750285,0.30543116,0.28579226,0.26836362,0.25287664,0.2386247,0.22448637,0.20962685,0.19491935,0.18253118,0.17562725,0.17481418,0.17855026,0.18337496,0.18746257,0.19007961,0.19108301,0.18973957,0.18575181,0.18002738,0.17402439,0.16827665,0.16155751,0.15260606,0.14219385,0.13424033,0.13294756,0.14012444,0.15337317,0.16892709,0.18382424,0.1976391,0.21065529,0.2225805,0.23142563,0.23475714,0.23143922,0.22326626,0.21418561,0.20764096,0.20421834,0.20182776,0.19822128,0.1926626,0.18560527,0.17688413,0.16539198,0.15069638,0.1349296,0.122792326,0.118463926,0.12271392,0.13183731,0.14073426,0.1463378,0.14975084,0.15435755,0.16264366,0.17346083,0.18240924,0.1840772,0.17534433,0.15746059,0.13632657,0.11954615,0.11232266,0.11454619,0.122406386,0.13131069,0.1388117,0.14376496,0.14643241,0.14712252,0.14669716,0.14504273,0.14177081,0.1366915,0.1309321,0.12606426,0.12256965,0.11947235,0.1152164,0.109764434,0.104843386,0.10394528,0.10959438,0.12215089,0.13789724,0.15194626,0.16017431,0.16221102,0.15976328,0.15556999,0.15143567,0.14834724,0.1462251,0.14442025,0.14211072,0.13877821,0.13432807,0.12895896,0.12305853,0.11696968,0.11094269,0.10511168,0.09982041,0.097656704,0.10455346,0.13012804,0.17779072,0.23945467,0.2919798,0.31603333,0.30543604,0.27420464,0.23905031,0.21184699,0.19367428,0.18265522,0.17651969,0.17480086,0.17684905,0.18116574,0.18472253,0.18510294,0.18178533,0.17711632,0.17363608,0.17276765,0.17495632,0.18400906,0.20830952,0.2564714,0.3232015,0.38635722,0.41502056,0.39705846,0.34436688,0.28696713,0.24472307,0.22249301,0.21112972,0.20336343,0.19621627,0.1915561,0.19042484,0.19203837,0.19374055,0.19365971,0.19154508,0.18898886,0.18767257,0.18839295,0.19347034,0.20838554,0.24357547,0.30056444,0.3669312,0.41215432,0.4150205,0.37364855,0.3122745,0.25515392,0.21658324,0.19475226,0.18362534,0.17841202,0.17790674,0.1819945,0.18877125,0.19476055,0.19637287,0.19269793,0.18551369,0.17810936,0.1730179,0.17274438,0.18218891,0.21016634,0.26321277,0.33350083,0.39628318,0.42165375,0.39947852,0.3440286,0.28477508,0.24093938,0.21690352,0.20442678,0.19674586,0.19113708,0.18925138,0.19183327,0.19720846,0.201598,0.20192458,0.19751106,0.19040571,0.18361963,0.17974283,0.18223381,0.1968264,0.23235929,0.28826675,0.35057548,0.3897754,0.38794422,0.34660754,0.29141852,0.2446773,0.21723156,0.2038068,0.19701208,0.19219,0.18923365,0.18900977,0.19110788,0.19397283,0.19608636,0.19710864,0.19780742,0.19868438,0.19961667,0.20080678,0.20696913,0.22780675,0.27224055,0.3346242,0.39229584,0.41658774,0.39735797,0.34757686,0.29381272,0.25314286,0.22907281,0.2150767,0.20616491,0.20088331,0.20084117,0.20641883,0.21534209,0.22280739,0.22510642,0.22173698,0.2160266,0.21200436,0.21240675,0.21981974,0.23865165,0.27601737,0.33006048,0.38664082,0.41850176,0.41075873,0.3672267,0.31312263,0.26872736,0.24284287,0.22912912,0.22038798,0.21251927,0.20673023,0.20496629,0.20762192,0.21289949,0.21834297,0.22249983,0.22498812,0.22597726,0.22553398,0.22535898,0.23134428,0.25406864,0.3013109,0.36585572,0.4229503,0.44385183,0.41938698,0.3647212,0.30732974,0.26436785,0.23882253,0.22469862,0.21804976,0.21783458,0.22426806,0.23545824,0.24764745,0.25645113,0.25931802,0.25622028,0.24950664,0.24172191,0.23490112,0.23255123,0.24205737,0.27428088,0.330637,0.39662254,0.4411615,0.44271994,0.40058497,0.33915302,0.2824122,0.24380268,0.22157629,0.21415335,0.22555573,0.26470074,0.32846114,0.39658478,0.435563,0.42718133,0.37628403,0.31101948,0.25479504,0.21972972,0.20351648,0.20514488,0.22770226,0.27504742,0.33926532,0.39744064,0.4230601,0.40545797,0.3564193,0.3003513,0.25559005,0.22806054,0.21631686,0.22118354,0.24943332,0.30219415,0.36777434,0.41673255,0.42603967,0.39113674,0.33452833,0.28163868,0.24839818,0.23373325,0.23370056,0.24862118,0.28453323,0.33925262,0.39728013,0.4314859,0.42587236,0.38293314,0.32521996,0.27374944,0.24041557,0.22392152,0.22177948,0.2359519,0.2732869,0.33148345,0.39277592,0.42726704,0.41855863,0.3719304,0.31301877,0.26288685,0.23165965,0.21812248,0.22219193,0.24774118,0.2963371,0.3580295,0.40836266,0.42343953,0.3965874,0.34395298,0.2906523,0.2529115,0.23250727,0.22452515,0.22854672,0.252874,0.30238077,0.3685188,0.42237225,0.43761727,0.40518084,0.34498537,0.28365335,0.24090195,0.21896227,0.21537726,0.23002708,0.26785454,0.3252437,0.38484597,0.41860414,0.41244122,0.3745965,0.33379805,0.309795,0.30468592,0.30253184,0.2958001,0.29143456,0.3085053,0.35116318,0.40266967,0.4317279,0.42428407,0.39088202,0.360577,0.3486322,0.35063633,0.3475373,0.33412877,0.32217398,0.3319057,0.36732662,0.41385862,0.45128015,0.47098112,0.4778606,0.4784932,0.47673488,0.47343028,0.4719459,0.47307456,0.47489467,0.47364473,0.4705492,0.47059146,0.47816786,0.49145064,0.5043779,0.5114908,0.51166695,0.50694805,0.49940765,0.491172,0.4850581,0.48590538,0.49576178,0.511575,0.5240194,0.5255378,0.51512134,0.500502,0.4918281,0.496387,0.51493365,0.5408836,0.56322473,0.5704236,0.55793935,0.53118175,0.50586593,0.49956432,0.5209014,0.5609583,0.59796447,0.6117952,0.5973599,0.5645907,0.5272307,0.4935634,0.46407118,0.43749818,0.41283986,0.3918425,0.3757793,0.36577192,0.3600889,0.3558561,0.35047105,0.3441619,0.33962703,0.3390967,0.342437,0.34625518,0.34697917,0.34184396,0.32976115,0.3093708,0.28164873,0.25396082,0.24206012,0.26191172,0.3149769,0.38283658,0.43679675,0.45978877,0.45393702,0.43485394,0.4149954,0.39908078,0.3875169,0.38370407,0.394659,0.42374635,0.46288416,0.49296948,0.49612775,0.4701326,0.42818785,0.38841736,0.36051455,0.34632957,0.34401286,0.35205674,0.36769307,0.38377512,0.39097488,0.38061044,0.352985,0.31610563,0.2826514,0.25967777,0.24756555,0.24160801,0.2381923,0.23600976,0.23653196,0.2416579,0.25266072,0.26782808,0.28341845,0.294794,0.29915258,0.29578558,0.28584075,0.27170455,0.25643665,0.24395573,0.23827414,0.24266021,0.2574433,0.27884454,0.30014065,0.31419134,0.3159119,0.30341926,0.27855924,0.24942155,0.23010367,0.23937619,0.28669134,0.36206564,0.43254456,0.4654363,0.44937673,0.40140983,0.34575692,0.2951607,0.24760668,0.20179604,0.16636181,0.15898667,0.18697822,0.24003704,0.28831002,0.3092047,0.29700246,0.2688879,0.24210864,0.2264946,0.21943122,0.21633355,0.2135576,0.21085148,0.20915383,0.20990358,0.21287294,0.2162975,0.21739,0.21545424,0.21180701,0.20824552,0.20444505,0.20228876,0.21141447,0.24724752,0.3137153,0.3917984,0.44727167,0.45999905,0.436565,0.40224612,0.3755306,0.3610823,0.35497487,0.35758665,0.3747722,0.4103172,0.45632926,0.49391213,0.5054425,0.48861718,0.4559474,0.42432776,0.401848,0.38839278,0.38070628,0.3788302,0.384552,0.39489818,0.4007753,0.39020956,0.36132765,0.32247397,0.2882456,0.2659333,0.2554694,0.2519363,0.25244418,0.2552249,0.25910577,0.2622567,0.26375532,0.2628664,0.25904056,0.25182077,0.24260211,0.23447722,0.23024176,0.23171233,0.24212594,0.26931474,0.31982604,0.3882577,0.4526917,0.4880303,0.48534444,0.45718014,0.42512152,0.40261874,0.391209,0.3872435,0.39053097,0.40692315,0.43985006,0.48274454,0.5154,0.52031165,0.49519643,0.45736566,0.42600846,0.40977934,0.4038328,0.40093458,0.39811516,0.3973608,0.39843234,0.39618492,0.3815709,0.35100684,0.30994043,0.27480736,0.26357326,0.28923082,0.34422255,0.40371612,0.4333253,0.42105272,0.37965432,0.33949733,0.3154969,0.30428421,0.2911251,0.27050033,0.24728201,0.22951432,0.21927755,0.21637435,0.22702104,0.26330164,0.3275762,0.4007486,0.45175126,0.46286038,0.44113305,0.40798625,0.37919044,0.35940123,0.34861156,0.3496835,0.3689834,0.4073511,0.4554422,0.4925058,0.50230604,0.48252735,0.44746423,0.41274306,0.38616958,0.36654064,0.35222772,0.34454837,0.3463099,0.35476968,0.36186647,0.35701394,0.33735833,0.30805802,0.27994978,0.2608151,0.25338542,0.25562546,0.2621099,0.2665137,0.2635485,0.25313082,0.23919505,0.22728066,0.22013913,0.21718842,0.21577115,0.21366338,0.21022658,0.2067662,0.20538746,0.20872438,0.21749656,0.23065107,0.24397214,0.25370145,0.25700685,0.25411406,0.24716347,0.23938662,0.23381679,0.23284452,0.24179585,0.2700874,0.32269758,0.38914213,0.44001994,0.4495758,0.4137471,0.35544944,0.30055225,0.26150396,0.23392345,0.21205704,0.19820695,0.20330636,0.23156333,0.2738619,0.30686608,0.3150556,0.29705775,0.2682823,0.24145524,0.22298455,0.21063286,0.20209207,0.19590078,0.19205081,0.19022153,0.18912937,0.18679474,0.18191206,0.17530756,0.17006695,0.16844541,0.16864295,0.166481,0.16313578,0.1728199,0.21273275,0.28599218,0.36848697,0.42748806,0.444844,0.43023476,0.40498424,0.38464296,0.3720299,0.36606583,0.36878887,0.38737664,0.42256102,0.4646721,0.4918014,0.4903824,0.46162,0.4237921,0.3926046,0.3746105,0.3660865,0.3631312,0.36538747,0.37447906,0.38695502,0.3929526,0.38079968,0.34836677,0.30374756,0.2609772,0.22887515,0.20928264,0.1972906,0.18714754,0.17718649,0.17234384,0.17990287,0.20098566,0.22777249,0.2482204,0.25483415,0.24828553,0.235741,0.22521494,0.22294933,0.23333575,0.2628562,0.3143134,0.38121477,0.4418913,0.47536778,0.4739623,0.4508907,0.4248496,0.40839314,0.40154144,0.4006158,0.40468132,0.420476,0.45042828,0.4872717,0.5095995,0.50435597,0.47362995,0.43743658,0.41083086,0.3982985,0.39387798,0.3932862,0.39605483,0.40217188,0.40625724,0.3984902,0.3712938,0.32771134,0.2797079,0.24101417,0.21727006,0.20654412,0.20261234,0.20089555,0.19893791,0.19715762,0.19667216,0.19843788,0.20145927,0.2044205,0.20690112,0.21024853,0.2152686,0.2205965,0.22517884,0.23308945,0.2564982,0.30407575,0.36959514,0.42687747,0.45172,0.4387159,0.40614703,0.37471986,0.3545127,0.3434607,0.33968797,0.34598652,0.3689531,0.4074702,0.45103133,0.4792134,0.4801599,0.45477816,0.41951856,0.3885984,0.36920783,0.35885862,0.35439435,0.35418293,0.35813323,0.3627871,0.3620335,0.35076258,0.33195627,0.3141178,0.30564642,0.3071821,0.3140772,0.31982854,0.32017908,0.31241095,0.29710773,0.2774811,0.25778735,0.2372037,0.21142961,0.17831735,0.1464897,0.13121654,0.144525,0.18690966,0.24993356,0.3251575,0.4026954,0.4707668,0.5112371,0.5165536,0.4920148,0.45824632,0.4305639,0.41567802,0.4096619,0.41055703,0.4193652,0.44051817,0.4707934,0.49984106,0.5108876,0.49812987,0.46718273,0.43498492,0.41304812,0.40513846,0.40612188,0.40977073,0.41175702,0.41026294,0.40384996,0.39057958,0.3705137,0.34845433,0.3311495,0.32162905,0.3151219,0.30394945,0.28451726,0.26155445,0.24410073,0.23874296,0.24511755,0.25691774,0.26668903,0.2707133,0.2709938,0.27325347,0.28133032,0.29376158,0.3061659,0.31826118,0.3375689,0.3697298,0.41007873,0.43994114,0.4453858,0.42580184,0.39750278,0.37537253,0.36635375,0.36599246,0.3701794,0.37885678,0.39884686,0.4298073,0.46171597,0.47408882,0.45927784,0.42489657,0.39204025,0.37269485,0.3679597,0.37117305,0.38001776,0.39709997,0.4250735,0.4578958,0.4810867,0.48017868,0.4552817,0.42062187,0.39433095,0.3830979,0.3826113,0.38588908,0.39180753,0.4046384,0.42619035,0.45027938,0.4633913,0.45548353,0.42934653,0.3993982,0.38044938,0.37626886,0.38094828,0.38735184,0.3952895,0.41104946,0.43662643,0.46451485,0.4774501,0.46623167,0.43535116,0.4026051,0.3810834,0.37347737,0.3734194,0.3773106,0.3875896,0.4113835,0.44688532,0.48204622,0.49531737,0.4789078,0.44049165,0.40307006,0.3806467,0.37558654,0.37880135,0.3848804,0.39443502,0.41234973,0.43678597,0.45799637,0.46249035,0.44754967,0.42125928,0.39734876,0.3818021,0.37352946,0.36954245,0.37131503,0.3841735,0.40900937,0.43811026,0.45573545,0.451497,0.42827722,0.40075073,0.38219222,0.37525114,0.37370896,0.37220025,0.3729601,0.38586077,0.4142475,0.44931388,0.46835458,0.4592874,0.4267691,0.39282477,0.37086335,0.3610983,0.35242924,0.33832753,0.3181514,0.29486382,0.2702923,0.24631035,0.22623907,0.2137887,0.21042354,0.21307866,0.21604931,0.21407942,0.20658731,0.1973787,0.19238181,0.19455051,0.20270061,0.21214455,0.21820183,0.21670234,0.20465952,0.1819245,0.15473889,0.13634692,0.13902874,0.16542102,0.20392717,0.23844075,0.257872,0.2626035,0.25916418,0.25461176,0.25233707,0.2511767,0.24671853,0.23394467,0.21296056,0.19144271,0.18056788,0.18652995,0.2048506,0.22537589,0.23983867,0.24737632,0.25074637,0.2522898,0.25118443,0.2454496,0.23406656,0.21912956,0.20587337,0.20024906,0.20489497,0.21686228,0.22977114,0.23828387,0.24094582,0.23876528,0.23232187,0.22211117,0.21397789,0.22241037,0.26253733,0.33233774,0.4055061,0.44681183,0.44102696,0.40191066,0.35710678,0.32262132,0.29735515,0.27264765,0.24526387,0.21943718,0.20131524,0.19361399,0.19329649,0.19488733,0.1940896,0.19058746,0.18675421,0.18492126,0.18574767,0.19074553,0.20529546,0.23904204,0.29433456,0.3598099,0.4101657,0.4283432,0.41518727,0.38985252,0.36924362,0.35950443,0.35642835,0.3545436,0.35233125,0.35078502,0.35174945,0.3548883,0.35904384,0.3626064,0.36522508,0.36715093,0.36941007,0.3723869,0.37669647,0.38226593,0.39029464,0.3993404,0.40606058,0.40367496,0.39036417,0.3693384,0.3491589,0.33493975,0.32804605,0.32605922,0.32716906,0.32999232,0.333953,0.3384508,0.34280193,0.34588984,0.3464491,0.34441385,0.34104195,0.33869258,0.33866408,0.3415408,0.3485782,0.3635715,0.39135668,0.42914674,0.46486545,0.4795994,0.46667922,0.4337031,0.40063784,0.37940124,0.37205252,0.3714967,0.3727375,0.37377763,0.37490317,0.37581488,0.37540042,0.37320247,0.3695478,0.36546612,0.36161014,0.3581557,0.3551341,0.35306337,0.35406256,0.3607837,0.37280226,0.38416862,0.38618052,0.3760514,0.35968915,0.34749568,0.34460923,0.34900272,0.35471582,0.35783264,0.35716772,0.35398114,0.34972915,0.34632686,0.3441689,0.34314916,0.34221995,0.34188142,0.34299228,0.34638253,0.3508623,0.35650718,0.36622182,0.3862995,0.4160557,0.44481203,0.45317116,0.43205968,0.38737845,0.3385216,0.29978988,0.27640173,0.26442108,0.25931618,0.25619897,0.25061914,0.23869272,0.22062986,0.20170756,0.1898372,0.1904475,0.20289958,0.22096746,0.23649848,0.24354188,0.24085246,0.23259751,0.22577482,0.22677068,0.236726,0.2524372,0.2677388,0.27802157,0.28008878,0.2743682,0.26338053,0.25231287,0.2442208,0.23973905,0.23601699,0.23156476,0.226516,0.22304893,0.22206263,0.22296731,0.2240957,0.22435163,0.22333515,0.22106154,0.2179885,0.21523051,0.21446903,0.21652412,0.22124325,0.2270448,0.23254955,0.2359681,0.2357946,0.23004927,0.21808414,0.20232461,0.18864061,0.18404818,0.19140084,0.20806879,0.22684322,0.24145341,0.24874334,0.2490588,0.24357991,0.23241341,0.21764873,0.20712982,0.21722348,0.2591821,0.3269261,0.3912209,0.4234527,0.41426596,0.38049293,0.34322634,0.31398654,0.29087958,0.27002293,0.250392,0.23472065,0.22546326,0.223413,0.22656067,0.23150426,0.23478903,0.2354073,0.23467351,0.23533392,0.23915897,0.2480924,0.26537964,0.2955048,0.33697823,0.3796154,0.4071442,0.41176614,0.39766917,0.3790699,0.36563274,0.36041832,0.35956928,0.3602024,0.36038026,0.36007842,0.35887966,0.35704637,0.35542914,0.35556194,0.35854968,0.36401868,0.3703978,0.37529957,0.3776619,0.37782076,0.37816826,0.37943837,0.38089383,0.37942958,0.37509283,0.37009442,0.36870018,0.3717203,0.37764993,0.3839381,0.39032832,0.3976798,0.40636468,0.4145235,0.4194924,0.4186217,0.4110526,0.39734378,0.38084254,0.36626855,0.35840032,0.35900506,0.36824325,0.38583222,0.41199538,0.44092897,0.4616067,0.461387,0.44091678,0.4111372,0.3878714,0.37573647,0.37236467,0.37174594,0.37244725,0.37383783,0.37541673,0.37576893,0.37475538,0.37301436,0.37155327,0.3706821,0.370489,0.37024224,0.36942947,0.36825415,0.36839485,0.3719273,0.37833238,0.38488296,0.38697305,0.38369086,0.3762368,0.36870992,0.36288548,0.35958144,0.35725856,0.35455477,0.35055804,0.34572974,0.34152165,0.3387592,0.33807766,0.33912537,0.34197465,0.34565577,0.34982303,0.35403267,0.35917625,0.36498913,0.37003577,0.36898366,0.3552026,0.3227743,0.27363968,0.21729793,0.1675405,0.13294066,0.11428083,0.10614821,0.10287108,0.10106334,0.099906564,0.09962708,0.1003609,0.1016515,0.10262811,0.10274031,0.102115296,0.10135264,0.10104481,0.10132933,0.1021607,0.10334295,0.10520378,0.108259015,0.11298262,0.118884094,0.12470933,0.12887293,0.13018034,0.1280591,0.12297985,0.11635748,0.11016076,0.10550976,0.10266164,0.10074121,0.099093735,0.09682294,0.09388689,0.0904536,0.08744364,0.08553052,0.084937476,0.0852263,0.08559784,0.08585469,0.08658957,0.08881975,0.092705786,0.09702251,0.10021407,0.10154518,0.10180014,0.10228622,0.10365587,0.10547834,0.106465064,0.10616464,0.10495892,0.10428589,0.104717165,0.106235065,0.10794831,0.10927564,0.10980403,0.10983636,0.110086955,0.11136424,0.113688834,0.116728514,0.120189525,0.12448581,0.12949345,0.134522,0.13813521,0.1395516,0.13863283,0.13585687,0.13184588,0.1273037,0.12345449,0.121450216,0.122151405,0.124954104,0.12852238,0.13078302,0.13015907,0.1256939,0.11840257,0.11075901,0.105505764,0.10268503,0.0992512,0.090758145,0.075267896,0.054918308,0.034796383,0.019408066,0.010354101,0.006300964,0.004878688,0.00428772,0.0037918345,0.0032743833,0.002800472,0.0024025224,0.0020837032,0.0018285777,0.0016268791,0.0014762225,0.0013843346,0.0013495693,0.0013565231,0.0013754228,0.0013805227,0.001356224,0.0013009929,0.0012219424,0.0011326455,0.001047629,0.0009772582,0.000924774,0.00088611414,0.0008537776,0.00082040665,0.0007831899,0.0007426623,0.00070062396,0.0006559775,0.00060730014,0.0005538414,0.00049825106,0.00044197895,0.00038454207,0.0003223546,0.00025488526,0.00018783491,0.00013472472,0.00011024756]