[0.040751822,0.04835007,0.063420385,0.0793123,0.09061999,0.095835365,0.09611597,0.093915604,0.09149768,0.09094911,0.093790464,0.10106725,0.11310009,0.12990427,0.151267,0.17702912,0.20598061,0.23512147,0.2587569,0.2715234,0.2714374,0.26318735,0.25522187,0.2538885,0.25935706,0.26535383,0.26699856,0.2632158,0.25887358,0.25864795,0.26446304,0.27550155,0.28790417,0.29816723,0.3008755,0.29427528,0.27912378,0.26033673,0.24185918,0.2253505,0.20960416,0.19390263,0.17916434,0.16854316,0.1633341,0.16354208,0.1664139,0.17023884,0.1716773,0.16942114,0.16427775,0.16171736,0.16540527,0.17256558,0.17480926,0.16619553,0.14978947,0.13389833,0.12464023,0.120835304,0.11856225,0.11691853,0.11974907,0.12984167,0.1433097,0.15019226,0.14253205,0.12156246,0.09809182,0.08428702,0.08567124,0.097765595,0.11067552,0.11552506,0.10965178,0.09692696,0.08478236,0.07908615,0.080806024,0.08535677,0.086652465,0.08086447,0.069402285,0.05696444,0.049308967,0.049640894,0.05739541,0.06785518,0.074750245,0.07399785,0.0661852,0.056109514,0.04895853,0.04723011,0.049232084,0.051124465,0.049683455,0.045866515,0.044963,0.054895345,0.077902064,0.10820609,0.1313777,0.13764767,0.12522767,0.10481572,0.089029215,0.09083875,0.113175295,0.1491379,0.1799335,0.18978626,0.17386822,0.1435326,0.114882536,0.10001705,0.10047545,0.10955906,0.11810402,0.12005792,0.116057016,0.11188996,0.11640683,0.13625117,0.17028834,0.20637439,0.22722125,0.2232088,0.20080863,0.18072093,0.186203,0.23156004,0.3098518,0.3934599,0.44451126,0.44256794,0.39377323,0.32577577,0.2616951,0.21289355,0.1786269,0.15574765,0.13822919,0.1204459,0.09972373,0.081089176,0.07381764,0.086798094,0.118602835,0.15633814,0.17826074,0.17234041,0.1440507,0.11644814,0.112078704,0.14530133,0.21547683,0.3066502,0.3851433,0.41497338,0.38002658,0.3000097,0.21908264,0.18246208,0.21065693,0.28933498,0.37312508,0.4130981,0.3866341,0.31108156,0.22509964,0.16047701,0.12589581,0.11223065,0.10458943,0.09354925,0.07830425,0.06653672,0.06633831,0.08103686,0.103835166,0.124393485,0.13251595,0.12764494,0.11533347,0.10620848,0.106943816,0.12220147,0.1532702,0.19845164,0.2470264,0.28173864,0.28922027,0.27477828,0.261881,0.2802126,0.3387144,0.4196907,0.4813544,0.4945327,0.45575985,0.39352474,0.33592805,0.29678392,0.26849884,0.2387798,0.1998027,0.15404655,0.110558756,0.08123062,0.07370164,0.08912346,0.11812901,0.1473462,0.1624061,0.15987825,0.14486627,0.13216263,0.13523819,0.16671735,0.22726803,0.30387446,0.36682487,0.39177147,0.37623215,0.34655467,0.33532205,0.36167154,0.41668168,0.47254804,0.49319932,0.4611355,0.38696155,0.30981353,0.2658487,0.26762164,0.29803148,0.33147785,0.35121194,0.35428703,0.3454546,0.3303775,0.31462705,0.3025925,0.29685307,0.29659677,0.2975175,0.29503047,0.28706884,0.2759639,0.26526138,0.25711116,0.25229356,0.25131223,0.2547003,0.25992373,0.26265857,0.25957227,0.2549177,0.26086655,0.29145285,0.34704742,0.40698078,0.43789282,0.41962743,0.35822427,0.279574,0.20669703,0.15041034,0.11091447,0.08575976,0.07076241,0.0609808,0.052192476,0.04427347,0.04035199,0.043879014,0.05442967,0.069286115,0.08814312,0.11688306,0.16000853,0.21308927,0.26313284,0.30589002,0.34788215,0.39653492,0.43752635,0.44773373,0.41722646,0.3705368,0.34610173,0.36664084,0.4184164,0.4635861,0.4665252,0.41698346,0.3318592,0.2431675,0.17960213,0.15432657,0.1610906,0.18151253,0.20153295,0.220295,0.24502079,0.27443597,0.2950883,0.29287133,0.2667616,0.2295621,0.19741742,0.1829686,0.1907994,0.21685576,0.24685383,0.2638014,0.2566252,0.22659765,0.18331416,0.1389971,0.103253335,0.08482135,0.0918898,0.13445415,0.21183813,0.3072709,0.38304415,0.4076276,0.3713553,0.2965258,0.21347426,0.14625801,0.10278454,0.08116668,0.07274536,0.06734485,0.057993665,0.04516619,0.0351323,0.03519999,0.046807095,0.06435154,0.07660081,0.07608777,0.06317774,0.050085604,0.054182697,0.09417399,0.17464805,0.28058887,0.37377277,0.41778183,0.3962282,0.33008263,0.26109746,0.23303372,0.25980547,0.3208578,0.37074557,0.37987936,0.35208213,0.32085148,0.31077173,0.3193515,0.32136622,0.29713264,0.2495494,0.20125805,0.17510386,0.17720328,0.1941246,0.20933108,0.21612662,0.22250219,0.2360387,0.25829676,0.2823142,0.3026193,0.3148283,0.31692636,0.30715916,0.28698698,0.26090935,0.23473926,0.21379961,0.20384182,0.21257259,0.24909467,0.3117926,0.38397357,0.43397522,0.4418187,0.408306,0.35765162,0.31234446,0.28465942,0.2721243,0.26749173,0.26250288,0.2531,0.24008648,0.22858791,0.22281222,0.22288299,0.22362335,0.21910585,0.20621735,0.187041,0.16550204,0.1473282,0.14037867,0.15750158,0.20449848,0.2715352,0.32830948,0.3480227,0.32279932,0.2745135,0.2348697,0.2334038,0.2739654,0.33672944,0.38009775,0.377509,0.3290083,0.26526573,0.21335435,0.18468177,0.17068686,0.15937538,0.14175832,0.116317935,0.08685899,0.061399076,0.04845765,0.05600286,0.086660825,0.1362315,0.19075179,0.23539269,0.2605485,0.2690691,0.26909187,0.26983523,0.27405712,0.28047273,0.28334868,0.27844036,0.26424894,0.24726798,0.23947708,0.25679696,0.30342492,0.36605808,0.41153944,0.4144846,0.37152207,0.30747235,0.24929106,0.21227431,0.19408208,0.1863314,0.18074445,0.17318074,0.16359985,0.15537544,0.15196681,0.15361243,0.15636939,0.15480717,0.14514211,0.12773915,0.10697079,0.091294624,0.09177893,0.120322205,0.1804183,0.25932482,0.32589352,0.3497288,0.32163525,0.26631826,0.22445607,0.22881098,0.27745196,0.3380247,0.36603287,0.34312162,0.28700057,0.23706065,0.21707,0.22188382,0.23270221,0.24081816,0.25145322,0.26697445,0.27588066,0.2624986,0.22458667,0.18153377,0.15866202,0.16966732,0.20531218,0.24534881,0.2735053,0.2884866,0.2975154,0.30392066,0.30128944,0.27885327,0.23551859,0.18423976,0.14785938,0.14535673,0.18400495,0.2576944,0.34845436,0.43129027,0.47977665,0.48136917,0.4432491,0.38883278,0.3380761,0.29687083,0.2583765,0.21558599,0.16837823,0.12276579,0.08529466,0.059827585,0.047038894,0.0460912,0.05379616,0.06474691,0.07125335,0.068758234,0.05772962,0.04574808,0.043897945,0.065255105,0.115607284,0.1845441,0.24269547,0.25917372,0.22469878,0.16174984,0.10989163,0.10283793,0.1473835,0.22092254,0.28096962,0.29731938,0.27252594,0.24119145,0.23621468,0.26347163,0.30326462,0.33289716,0.3433673,0.3370748,0.32062218,0.30104703,0.28579137,0.27982596,0.2812406,0.28457156,0.28576866,0.28685203,0.28878745,0.2880801,0.27611986,0.24991061,0.21699505,0.19419897,0.19541372,0.2215575,0.25971028,0.29412553,0.31919447,0.34268805,0.37465835,0.41444197,0.44653952,0.45422173,0.4325627,0.39295062,0.3503616,0.31266385,0.27782616,0.24229522,0.20766456,0.18071218,0.16775692,0.16859029,0.17618091,0.18120462,0.17859095,0.16947986,0.15847117,0.15064923,0.14980212,0.158675,0.17884225,0.2115827,0.2576978,0.31046715,0.3544278,0.3688945,0.34778658,0.30318394,0.26247618,0.24859126,0.27179027,0.3211634,0.36933818,0.38525915,0.35637084,0.29646084,0.2337072,0.18795727,0.16206847,0.1475245,0.1358184,0.122656904,0.1082747,0.09583048,0.090300106,0.096523605,0.116487406,0.14774439,0.18265449,0.2119536,0.22912572,0.2344025,0.23290431,0.23032272,0.22905487,0.22846906,0.22689278,0.2238047,0.22003609,0.21749401,0.22021532,0.23518188,0.27265093,0.33371294,0.40377092,0.45005348,0.44897565,0.40052748,0.333124,0.27546123,0.24143066,0.22553279,0.21727751,0.20937996,0.2002871,0.19100446,0.18337274,0.17913099,0.17985137,0.18465291,0.19036038,0.19226593,0.18924856,0.18351334,0.18127435,0.1887397,0.2140135,0.25874186,0.31493112,0.36007416,0.37501016,0.35465607,0.3167653,0.2860812,0.2844107,0.31462112,0.36113223,0.39258263,0.38644314,0.3420334,0.2828637,0.23423332,0.21124606,0.21528928,0.24115999,0.27758536,0.3100901,0.3258541,0.3214763,0.30306843,0.28233406,0.26904356,0.26736197,0.27381107,0.2812189,0.28340578,0.27954334,0.2732415,0.26992574,0.27380157,0.2864037,0.30531567,0.32496276,0.33867618,0.3437295,0.34434858,0.35121664,0.373709,0.40822354,0.43660286,0.43570042,0.39887205,0.338956,0.28012374,0.236701,0.20999897,0.19134037,0.17346169,0.15308474,0.13239412,0.11520635,0.10531732,0.10386073,0.109532885,0.11730755,0.12005085,0.11157751,0.09228166,0.07111829,0.064276084,0.089295566,0.15401892,0.24484909,0.32623923,0.36223993,0.3444992,0.29932246,0.26639163,0.26912114,0.30611312,0.3563331,0.39472055,0.40077123,0.37140787,0.31795064,0.25940916,0.21062565,0.1845166,0.19090195,0.22940338,0.2797769,0.3094722,0.29545376,0.24222805,0.17886911,0.13897906,0.13903883,0.17115118,0.21177703,0.24037258,0.25094056,0.25173655,0.2530308,0.25894287,0.2659926,0.26988518,0.26917514,0.2663287,0.26441732,0.26792923,0.28280976,0.31729487,0.3701304,0.42641273,0.45817295,0.44970796,0.40533456,0.34824434,0.29476884,0.24954121,0.20736648,0.16661473,0.12853609,0.0958783,0.06940256,0.0507687,0.04215427,0.04654241,0.06192441,0.081062526,0.09212614,0.089936905,0.078906655,0.073196776,0.08527549,0.12273369,0.18183045,0.24909084,0.30099833,0.31932822,0.30157462,0.26664695,0.2406897,0.24467678,0.2806333,0.3322557,0.3695064,0.37076554,0.33406934,0.28009468,0.23196459,0.20499837,0.20076038,0.2142145,0.23453599,0.2505683,0.25357497,0.24332027,0.22617604,0.2131447,0.21166289,0.22214729,0.23442203,0.23668015,0.22238885,0.19729549,0.17319308,0.16302085,0.17337893,0.20304556,0.24130416,0.2737858,0.28940377,0.2878851,0.27879795,0.2775129,0.29405096,0.32590306,0.35533884,0.3629752,0.3416201,0.30203238,0.2616095,0.23171753,0.21327005,0.20110506,0.18970144,0.17556466,0.15801524,0.1389383,0.121795565,0.110058986,0.10436251,0.1018934,0.097535945,0.089744896,0.08270321,0.08539597,0.10520589,0.14505923,0.19978468,0.256682,0.29819193,0.31393287,0.30640975,0.2891287,0.2747968,0.27407947,0.29424667,0.33554396,0.38044655,0.3993211,0.37199727,0.30621037,0.23539464,0.19318454,0.19319974,0.22011423,0.24679534,0.2541579,0.24580573,0.23725665,0.23821332,0.24217547,0.23732483,0.22045581,0.20228416,0.19644743,0.20965399,0.23637621,0.26656416,0.2919189,0.31162694,0.32783875,0.34134972,0.34828278,0.34360418,0.32537106,0.29962304,0.27974245,0.28411236,0.31943223,0.37515095,0.42026865,0.4324657,0.40721068,0.3651832,0.325978,0.3015854,0.28944436,0.2840691,0.27890477,0.2704356,0.2566061,0.23822665,0.21791835,0.20011215,0.18700804,0.17735158,0.16603918,0.15003978,0.1299061,0.112333395,0.106577344,0.124529116,0.16768284,0.22217612,0.25628534,0.24733128,0.19549441,0.13192694,0.093229264,0.10770134,0.17232275,0.25808653,0.3156177,0.31551597,0.26203546,0.19333945,0.14237808,0.120984726,0.11952141,0.1254128,0.13080558,0.13341135,0.13628985,0.14429116,0.16004376,0.1789726,0.19423325,0.20169456,0.20091224,0.19150412,0.17244597,0.14801879,0.12875035,0.126692,0.14681822,0.18456395,0.23004687,0.2712472,0.2969714,0.30036438,0.2859253,0.27343857,0.28434303,0.32476267,0.37283388,0.39785597,0.3816129,0.33269554,0.2722638,0.21879975,0.17973655,0.15500213,0.14139362,0.13417448,0.12926336,0.12440903,0.120237626,0.118287176,0.118631326,0.11857288,0.11360395,0.10133946,0.08357835,0.06751918,0.06339226,0.08321536,0.13280399,0.20577453,0.28001037,0.33262253,0.352108,0.34686694,0.3328282,0.32815322,0.3417442,0.3729606,0.4048672,0.41823545,0.4029307,0.3671356,0.32521847,0.28803122,0.26084998,0.24903856,0.25654164,0.27968836,0.30439785,0.31597516,0.31004468,0.2974006,0.2930744,0.30464342,0.32611796,0.3460754,0.35642818,0.35560372,0.34533966,0.3275405,0.30805317,0.2946464,0.2956876,0.31036806,0.3328239,0.35372505,0.3711561,0.38845143,0.41359147,0.44596884,0.47521672,0.48204413,0.4572527,0.40522966,0.34477898,0.29275844,0.26065937,0.25031415,0.25768754,0.2734157,0.2872369,0.29203406,0.28613362,0.27218023,0.25464675,0.23748136,0.2232172,0.21261382,0.20559783,0.20139168,0.2008218,0.20670426,0.22519736,0.25598764,0.28990015,0.3066777,0.2954366,0.25965428,0.22273104,0.2079342,0.23148589,0.28462908,0.34034836,0.36075535,0.33062908,0.26273355,0.19245999,0.14464875,0.1258355,0.12565936,0.13276742,0.13919777,0.1416385,0.14007455,0.13712607,0.13682275,0.14228515,0.15311132,0.1652931,0.1726767,0.17266244,0.16759963,0.16428597,0.16806011,0.18095525,0.20111667,0.22424726,0.24382216,0.25264886,0.24701802,0.23224545,0.22271687,0.23766506,0.28408703,0.35076785,0.4057839,0.4236325,0.3970046,0.34517345,0.2907993,0.24951798,0.22227202,0.2046452,0.19091982,0.17805915,0.16522513,0.15394129,0.14621489,0.1434391,0.14401126,0.14419313,0.13938496,0.12890495,0.117084034,0.113712996,0.13014098,0.17395969,0.24032573,0.30819738,0.34923184,0.34698164,0.31019607,0.26890814,0.25470856,0.2844781,0.34738263,0.41284895,0.4437863,0.42695484,0.37744012,0.3287283,0.30106604,0.29294607,0.28730384,0.2708687,0.24233218,0.21281558,0.19661003,0.20144929,0.22234793,0.24765176,0.26979673,0.28999063,0.3121051,0.33368123,0.34684968,0.34473386,0.3290697,0.30842808,0.29479238,0.29562226,0.31144407,0.33371863,0.35202467,0.3590542,0.35762885,0.3571304,0.36876354,0.39197883,0.41431272,0.41636074,0.39309517,0.3549274,0.32248187,0.30541015,0.30112842,0.2972106,0.28299162,0.2526609,0.20804441,0.15747133,0.112703,0.08401994,0.07530958,0.08231777,0.09426954,0.09987841,0.09411201,0.08095619,0.07177856,0.079223715,0.11187921,0.16467275,0.21910012,0.24962752,0.24524641,0.21577138,0.18932062,0.1910144,0.23118645,0.2942451,0.34787235,0.35881677,0.32006088,0.25208917,0.18886329,0.14913271,0.13325642,0.12950122,0.12992357,0.13056844,0.13198997,0.13403761,0.13781802,0.14313366,0.150968,0.16063885,0.17084593,0.17709243,0.17684722,0.1703671,0.16351539,0.16137594,0.16915168,0.18864398,0.22010791,0.25607517,0.2849715,0.29557225,0.28729272,0.2694608,0.25666752,0.2567086,0.26704347,0.2747163,0.2690405,0.24599849,0.21104501,0.17019135,0.12902428,0.091411345,0.06152144,0.04192747,0.033235375,0.03650343,0.055375945,0.09488537,0.15537214,0.22733112,0.29320392,0.33605608,0.34998158,0.34108147,0.32252288,0.30559966,0.29842743,0.30246127,0.31298566,0.31701228,0.30338612,0.26967958,0.22670776,0.18927027,0.1685931,0.16853864,0.18691419,0.21731816,0.24958436,0.27401498,0.2847848,0.28265265,0.27414736,0.26820123,0.2725884,0.28659448,0.30057052,0.29857624,0.27116063,0.22206295,0.1704667,0.1408868,0.15087913,0.19868672,0.26183274,0.30761603,0.31351253,0.28041235,0.23059498,0.18827926,0.16379152,0.15011288,0.13566948,0.115392394,0.09494241,0.087554686,0.11031685,0.17593879,0.2791605,0.39006317,0.46709156,0.48566476,0.4525478,0.39627147,0.3423845,0.30246782,0.2759454,0.2588415,0.24612999,0.23372824,0.21996082,0.20756172,0.20184946,0.2047037,0.2118942,0.2136484,0.20439601,0.18519418,0.16520177,0.15530773,0.16764478,0.21000047,0.2769414,0.34643212,0.38813475,0.3867135,0.34959903,0.30498803,0.28234705,0.29917702,0.34771097,0.3982974,0.4177004,0.39460525,0.34542283,0.29850033,0.27126524,0.26520088,0.27140823,0.2805657,0.28526747,0.28237796,0.27289754,0.26192066,0.25649992,0.26228774,0.2808676,0.30709824,0.332999,0.35129443,0.36049798,0.36244872,0.36106947,0.35923073,0.35867158,0.3588829,0.35822126,0.35572612,0.35334775,0.35625446,0.37198302,0.40452567,0.44788218,0.4833355,0.49060717,0.4625999,0.41079664,0.35506412,0.30963603,0.27870846,0.2596375,0.2480125,0.23942389,0.23094665,0.22223438,0.21550322,0.2139293,0.21750061,0.22064598,0.21374027,0.1920321,0.16237418,0.14163028,0.14704074,0.1868118,0.2564993,0.3381451,0.40648374,0.44113317,0.43896183,0.41514006,0.39099514,0.3841616,0.39844012,0.42309746,0.4327625,0.40807322,0.3523414,0.29404083,0.2610189,0.25732514,0.26478612,0.26469496,0.25469702,0.24397397,0.23831815,0.23484327,0.2299546,0.22916876,0.24275744,0.2736608,0.31111956,0.33951482,0.35044572,0.34734702,0.33863577,0.3310347,0.3263531,0.3222786,0.31401262,0.2967236,0.27109334,0.24633217,0.23829442,0.2609056,0.31425643,0.3804331,0.42934194,0.43779776,0.40377975,0.34641686,0.2919475,0.25824603,0.25047097,0.26200008,0.2800983,0.2913848,0.2883445,0.2719868,0.2487706,0.22611351,0.20737936,0.19109766,0.17132623,0.1440792,0.11060366,0.07936787,0.061921444,0.07033572,0.11098993,0.17547278,0.23811771,0.26759622,0.2520592,0.20846236,0.17258847,0.17291425,0.2155781,0.2813701,0.33803606,0.35801604,0.33640385,0.28998536,0.24286155,0.20672846,0.18099022,0.16025285,0.14459376,0.1367659,0.13846289,0.14647825,0.15576863,0.16359134,0.17217845,0.18559402,0.20338263,0.21863951,0.22232795,0.2111785,0.19015382,0.16975091,0.15939927,0.16212666,0.17247856,0.17977709,0.17558478,0.16080521,0.14781468,0.15579738,0.19739293,0.2661103,0.33324027,0.36616787,0.35135087,0.30347797,0.2509023,0.21382569,0.19581844,0.1881516,0.18096383,0.16762012,0.14774147,0.12516712,0.10683733,0.098683745,0.10178912,0.11097177,0.11624596,0.11093423,0.095814645,0.082040675,0.08518813,0.11891186,0.18428338,0.26295528,0.32218075,0.33507946,0.3034733,0.26035327,0.24645318,0.2814922,0.34967145,0.41354737,0.43701982,0.41021773,0.35230955,0.29624018,0.26361457,0.25394964,0.25627312,0.26271003,0.2724189,0.28108016,0.28101003,0.26772043,0.24976951,0.24174553,0.2519644,0.2731341,0.28957617,0.29081497,0.2800657,0.26912645,0.26742396,0.2748522,0.28566805,0.2936032,0.29761946,0.29853013,0.30040744,0.30800113,0.32876885,0.3675239,0.42146358,0.47726926,0.51540345,0.52272487,0.49913368,0.45664704,0.40734604,0.35763836,0.30931747,0.26554766,0.23115544,0.20918347,0.19806373,0.19361074,0.19204082,0.19236873,0.19376965,0.19453685,0.19061792,0.18061215,0.1657033,0.15039256,0.13946277,0.1398278,0.15802388,0.19159146,0.22415374,0.23215817,0.20705503,0.16454424,0.13740262,0.15228662,0.21298508,0.29656217,0.36390066,0.38316026,0.34961155,0.28775415,0.2313148,0.20035659,0.19593251,0.20812128,0.2268278,0.24336536,0.25129715,0.2479226,0.2371934,0.2283432,0.23015101,0.2458688,0.27028355,0.29347947,0.30526206,0.3012965,0.2840556,0.26182356,0.24400477,0.23685692,0.24037524,0.24866343,0.25419402,0.25441957,0.25623152,0.27372465,0.31595883,0.37466893,0.4231979,0.43434045,0.40112624,0.3412818,0.2817109,0.238847,0.2135336,0.19783908,0.18439753,0.16940707,0.15203191,0.13462819,0.12358736,0.12902938,0.15790726,0.20722695,0.26181194,0.30433878,0.32552746,0.32846618,0.322883,0.31850553,0.32201734,0.33261284,0.34445867,0.34778953,0.34063303,0.32630208,0.31454435,0.3146524,0.33562386,0.37714854,0.42274866,0.44515634,0.42428482,0.3625354,0.28227597,0.21249707,0.17647617,0.18115115,0.21325748,0.24404235,0.25086477,0.23448163,0.21847467,0.22579093,0.25771147,0.29469523,0.31557986,0.3163994,0.30848762,0.30537367,0.31035605,0.31876227,0.32567093,0.33053893,0.33476505,0.3369027,0.3321559,0.31633088,0.29320213,0.278177,0.28956673,0.33215037,0.38615632,0.42044172,0.41579783,0.37827945,0.32832497,0.28226408,0.24441886,0.21097828,0.17792015,0.14363475,0.11018298,0.08217891,0.06540426,0.0639719,0.07587739,0.09286981,0.10327307,0.10414394,0.105323635,0.12569635,0.17541425,0.24700415,0.3192494,0.3706386,0.38986567,0.37577453,0.3386335,0.29619852,0.27112082,0.27895835,0.3200039,0.3749993,0.41399324,0.4135418,0.3738805,0.3189099,0.27802753,0.26466772,0.27242365,0.28737178,0.3007072,0.30994406,0.31454316,0.31356993,0.30806768,0.30083928,0.29535577,0.29343513,0.29478994,0.2977881,0.30022067,0.30176255,0.30218732,0.30107918,0.2965504,0.2893753,0.28291082,0.28069198,0.28196403,0.28384042,0.28728023,0.30037302,0.331167,0.3761501,0.41599703,0.4276456,0.40247288,0.3526144,0.3001828,0.26006845,0.23502403,0.22009541,0.2112432,0.20612355,0.20494044,0.20911849,0.22270222,0.24950139,0.2889321,0.3338872,0.37177375,0.39346227,0.39717817,0.3908786,0.38501167,0.38768664,0.40124142,0.4194354,0.4315528,0.4261144,0.40407,0.37667894,0.36212978,0.37141827,0.4049995,0.4496349,0.48475727,0.491871,0.46644065,0.41775212,0.36138573,0.3102964,0.27456045,0.2595468,0.26094297,0.26435634,0.25464812,0.2303837,0.20385627,0.19214402,0.20273511,0.23191948,0.26679513,0.29570156,0.31243482,0.3193852,0.32045844,0.31684646,0.30685267,0.2922571,0.28155747,0.28373268,0.30128482,0.32740048,0.35561433,0.3849688,0.41788292,0.4477059,0.4583545,0.4365953,0.3893826,0.34034097,0.31305465,0.31286004,0.33001295,0.35006285,0.36476567,0.37085262,0.36829686,0.35902715,0.34857264,0.34338042,0.34586653,0.3518856,0.35472015,0.35202035,0.34683087,0.34434485,0.34768108,0.35904953,0.37910187,0.4038087,0.42244408,0.42302904,0.40247616,0.37030923,0.34421206,0.34049106,0.3641223,0.40451765,0.4382504,0.4462899,0.42667615,0.39605376,0.37287655,0.36434928,0.3649653,0.36545083,0.36037683,0.34929278,0.33470452,0.31965357,0.3072245,0.30038425,0.30091736,0.30791742,0.3172109,0.32417023,0.32635394,0.32447433,0.32036427,0.31522658,0.3097112,0.30413243,0.2991018,0.29520807,0.2933526,0.29562297,0.305837,0.33011517,0.37060216,0.4196161,0.4575858,0.46617207,0.44191384,0.3990084,0.35629869,0.3231248,0.29731485,0.27186236,0.24269752,0.21002084,0.17645063,0.14541508,0.12037874,0.105470486,0.101409435,0.10431409,0.10592294,0.103811204,0.10537084,0.12460249,0.16896926,0.23235618,0.29992738,0.356311,0.39389923,0.4092753,0.40381572,0.3791057,0.34450898,0.31659612,0.31589928,0.34783337,0.39409924,0.42187253,0.40842846,0.35516834,0.282544,0.21642597,0.1766702,0.16980489,0.18443036,0.19751614,0.1909476,0.16699201,0.14703108,0.15331282,0.19054413,0.241152,0.27924165,0.28746185,0.2664616,0.230388,0.1975292,0.18196414,0.18789403,0.20865935,0.22929847,0.23695995,0.2288708,0.21691616,0.22122048,0.25942165,0.33271834,0.41957593,0.48445725,0.4984882,0.45861578,0.38626027,0.31226566,0.2575579,0.22842656,0.21919481,0.2207933,0.22466017,0.22612016,0.22483021,0.22465718,0.23041664,0.24278289,0.2557536,0.25921646,0.24801958,0.22610962,0.20550382,0.19787808,0.21040855,0.24302311,0.2862262,0.32226506,0.33055767,0.30272767,0.24858035,0.19600703,0.17569093,0.20423324,0.26891693,0.33065194,0.34882942,0.31048876,0.23766504,0.16687964,0.122512095,0.10867556,0.115920365,0.13260184,0.14934893,0.16241238,0.17317517,0.1859241,0.2041334,0.22900863,0.25982118,0.29217145,0.3185402,0.33141884,0.32930496,0.3172952,0.30252805,0.28937653,0.27812588,0.2679356,0.25873908,0.25283524,0.2540181,0.26733878,0.29736367,0.34380564,0.39551762,0.43027726,0.42676413,0.3809862,0.31057054,0.24260505,0.19535814,0.17213829,0.16472812,0.16244984,0.15624483,0.14364067,0.12987204,0.12800816,0.1495768,0.19434512,0.24430913,0.27416256,0.26966617,0.23806806,0.20196326,0.18281464,0.19314195,0.2336561,0.29451755,0.35488978,0.39236394,0.3964785,0.3770478,0.3572297,0.35889998,0.38683674,0.42377093,0.4371365,0.402257,0.32137552,0.22449942,0.1484919,0.11510869,0.12434546,0.15988475,0.19896041,0.22105569,0.21695311,0.19317685,0.16779466,0.15986057,0.17724411,0.21284533,0.24774186,0.26653314,0.26555976,0.25532174,0.24671781,0.24535038,0.2497964,0.25866067,0.27087626,0.28404307,0.29337212,0.29578745,0.29547524,0.3043795,0.3318394,0.3722385,0.4017868,0.39671862,0.35320723,0.29279158,0.24394,0.22230189,0.22487946,0.23862934,0.25164714,0.25743845,0.25571558,0.24935703,0.24253844,0.2379597,0.23511408,0.2308351,0.22017498,0.2020638,0.17932518,0.15977311,0.15149806,0.16214077,0.19480236,0.24136591,0.28261864,0.2960537,0.27626726,0.23854311,0.21233022,0.22006615,0.266216,0.3324954,0.38752922,0.40455267,0.3796059,0.33145764,0.28614154,0.25855276,0.25091562,0.25801358,0.27356806,0.28972223,0.29924503,0.298532,0.29011345,0.28094494,0.2780075,0.28471246,0.29850703,0.31328273,0.32235873,0.32237032,0.31325135,0.29819432,0.2827113,0.27247024,0.2699059,0.2717248,0.27244142,0.27040493,0.2718049,0.28774047,0.3232527,0.3689089,0.4012067,0.3996235,0.36253145,0.3086404,0.2610322,0.23064385,0.21500273,0.20555831,0.19611768,0.18316919,0.16550718,0.14378294,0.12167033,0.105254255,0.09835938,0.09928735,0.09992502,0.093797565,0.08044223,0.06789561,0.067206174,0.089625955,0.14111681,0.21685135,0.29916605,0.36443326,0.39744556,0.39875305,0.38341114,0.3706288,0.37313387,0.38749003,0.39545488,0.377983,0.3349105,0.28681272,0.25969097,0.26324153,0.28847373,0.31705096,0.33418807,0.33087313,0.30381235,0.25619623,0.20160507,0.16238461,0.16007341,0.20103216,0.2697966,0.33737147,0.37971577,0.38996255,0.37727717,0.35489425,0.33423504,0.32059956,0.3160433,0.31583402,0.3144959,0.3080243,0.30138895,0.30450043,0.32578996,0.36078063,0.39133117,0.39682922,0.3713063,0.32737872,0.28535372,0.2572713,0.2433482,0.23680781,0.23158856,0.22444992,0.2151808,0.20558804,0.19815671,0.19489683,0.1949118,0.19481696,0.18902516,0.17450757,0.15186411,0.12678705,0.1079975,0.106308065,0.12960096,0.17295395,0.21605591,0.2324543,0.21305077,0.1747262,0.15077622,0.16612355,0.22071779,0.2894081,0.3349072,0.33112434,0.27930182,0.2077807,0.15123431,0.13005942,0.14513268,0.18582796,0.2376645,0.2856708,0.31751657,0.32851028,0.32324997,0.31209746,0.30565038,0.310078,0.32482958,0.3438954,0.3600974,0.36965287,0.37232354,0.36940527,0.36382034,0.35977843,0.3621062,0.36968717,0.37750533,0.37975368,0.37889817,0.3827864,0.39868638,0.4227911,0.4409486,0.43695343,0.4068221,0.3607267,0.31569517,0.2811316,0.257201,0.23848172,0.22237523,0.2083507,0.19794339,0.19261998,0.19464481,0.20447518,0.22036456,0.238975,0.25702938,0.27077976,0.27617586,0.27195594,0.26130268,0.24975584,0.23990123,0.2311152,0.22194125,0.21246076,0.20384389,0.19751169,0.1954288,0.198779,0.20783246,0.22123905,0.23683262,0.24981625,0.25480646,0.24932729,0.23745835,0.22621484,0.2201039,0.21865314,0.21929061,0.21958052,0.21930937,0.21995659,0.22483744,0.23466933,0.24622275,0.25379282,0.2543575,0.24937558,0.24266632,0.2381559,0.23872657,0.24636237,0.26212302,0.28517509,0.31236836,0.33652663,0.35003868,0.34807643,0.33528587,0.32339132,0.32823798,0.35332274,0.3864318,0.3993368,0.37613627,0.3218013,0.26423386,0.22588576,0.21483596,0.22143622,0.2319619,0.23452573,0.22557616,0.21070473,0.20078027,0.20331575,0.21680872,0.23341809,0.24577014,0.25063968,0.2491631,0.24491012,0.24382739,0.25143397,0.2709259,0.2990755,0.32720956,0.3423948,0.33665314,0.31159887,0.28213477,0.26672867,0.28011844,0.3205186,0.37065533,0.40192232,0.39706862,0.3600622,0.31499287,0.28299665,0.26996645,0.26724586,0.26440492,0.25574937,0.24058963,0.22138791,0.20325118,0.19310467,0.19695364,0.21706356,0.25011113,0.28738466,0.31854358,0.33612573,0.33989704,0.33538198,0.33113986,0.3334936,0.34345874,0.35487232,0.35830304,0.34808233,0.3286716,0.3128821,0.31513834,0.34003738,0.37787557,0.406742,0.4084724,0.38164058,0.3434193,0.31476685,0.30555496,0.31112146,0.31876752,0.31685898,0.3005403,0.27523872,0.25336936,0.24543722,0.25200978,0.2639806,0.2715037,0.26948246,0.2594509,0.24608381,0.23629494,0.23653986,0.24999058,0.2752352,0.30456433,0.32729995,0.33082926,0.3112081,0.27537677,0.24352705,0.23555207,0.2624598,0.314199,0.36558482,0.3873892,0.3699307,0.32599056,0.28209907,0.2552366,0.2482558,0.2534642,0.2635261,0.27208456,0.27509597,0.27108642,0.263751,0.25860444,0.25945988,0.2660081,0.27544245,0.28369358,0.28700382,0.28386545,0.27836776,0.27852106,0.2916006,0.3157159,0.34129056,0.35578707,0.35505483,0.34306416,0.33159098,0.33167282,0.35192966,0.38793042,0.42420554,0.4378382,0.42037988,0.37948307,0.33494815,0.2985604,0.27417806,0.25936088,0.25228265,0.24841827,0.24258055,0.23142631,0.21790282,0.20727241,0.2039026,0.20588815,0.20816557,0.2033394,0.1892462,0.167933,0.14863531,0.14144585,0.15674955,0.19370817,0.23830026,0.26374868,0.25169125,0.2038344,0.14650299,0.11163885,0.12377725,0.18120986,0.2579718,0.31013986,0.3116192,0.26877683,0.21863131,0.19084631,0.1907206,0.20228106,0.2111577,0.21356378,0.21262322,0.2126429,0.21612822,0.22528154,0.24022372,0.26154575,0.2886659,0.31902584,0.3449479,0.35835457,0.35629222,0.3440099,0.32977715,0.3199896,0.3154839,0.31358156,0.3093138,0.30048916,0.28938973,0.28458187,0.29615572,0.3283173,0.3721741,0.4066185,0.41222605,0.3851913,0.3404292,0.2983943,0.27119592,0.25891197,0.25423914,0.24952503,0.24011607,0.22749375,0.21811174,0.21899442,0.23206945,0.25218394,0.27138245,0.28243002,0.2826829,0.27252722,0.2567474,0.2425624,0.23930041,0.2533189,0.28216815,0.31317535,0.32840857,0.31926414,0.29204687,0.2672652,0.2645185,0.29305956,0.34250626,0.38907513,0.40580595,0.38368356,0.3352025,0.28739044,0.25916353,0.25472263,0.26600215,0.28391495,0.30028164,0.30782035,0.30237463,0.28720406,0.27278784,0.26710042,0.2694031,0.26987132,0.25995743,0.23805816,0.2118503,0.19219913,0.18730591,0.19705375,0.21329142,0.22602753,0.23079054,0.23147903,0.2339008,0.24143414,0.25503227,0.2806284,0.3217629,0.37231377,0.40785193,0.40811643,0.3690395,0.3119419,0.2606177,0.23212798,0.2280963,0.24201691,0.2611889,0.27381063,0.27408478,0.26569727,0.25766537,0.25766698,0.26578274,0.27548322,0.27798513,0.27016714,0.25523016,0.24142985,0.2364497,0.24699032,0.27384734,0.3091171,0.3346775,0.33366084,0.30238965,0.25710228,0.22442825,0.22787404,0.2696794,0.32793358,0.36372402,0.350939,0.29113492,0.21433598,0.15276095,0.12676047,0.13836609,0.17875345,0.23029946,0.27408552,0.29636765,0.29603973,0.28138065,0.26431236,0.25150266,0.24317499,0.23373123,0.220173,0.20376666,0.19057733,0.18405618,0.18629314,0.19802739,0.22092962,0.25150084,0.28096327,0.29808828,0.29911205,0.2902275,0.28710684,0.30353606,0.34123218,0.38307524,0.40478504,0.3941116,0.3606596,0.32633987,0.30565992,0.2995338,0.30024353,0.30194107,0.30130875,0.2964251,0.28626454,0.27323183,0.2628493,0.25946844,0.26374403,0.27213088,0.28068194,0.28569433,0.28581533,0.28281197,0.28317785,0.29595312,0.32388523,0.3588899,0.38177344,0.37768304,0.34374645,0.2959467,0.25794443,0.25315356,0.28490663,0.33407363,0.3642347,0.35396442,0.30804473,0.25508496,0.21701288,0.20050246,0.19748259,0.20098345,0.20592563,0.20958102,0.20773892,0.19971979,0.18979764,0.18904872,0.20709884,0.24548268,0.29170668,0.32815748,0.34202564,0.33432886,0.3156066,0.29992053,0.2971699,0.3091495,0.3276075,0.33869004,0.3312925,0.30604604,0.27538064,0.25984064,0.2711388,0.30519614,0.3373622,0.34667668,0.32730433,0.2957091,0.2687563,0.2545803,0.24841107,0.24259599,0.23087066,0.21121205,0.18597834,0.16088273,0.1420008,0.13287847,0.13171685,0.1328514,0.1282528,0.11467864,0.09413788,0.07500587,0.06705014,0.081131496,0.12277452,0.18372357,0.2387522,0.25791445,0.22994286,0.17186143,0.120030396,0.10701672,0.14394556,0.21358289,0.27888367,0.3062028,0.28799567,0.24622029,0.21214785,0.20305723,0.21730138,0.24363892,0.27203083,0.2948021,0.30767217,0.30997303,0.30645204,0.30257043,0.30253413,0.30641028,0.31278047,0.31735137,0.3169833,0.30940962,0.2970564,0.2833052,0.2740866,0.27276346,0.2805934,0.29220024,0.3022922,0.30787003,0.31389877,0.32661054,0.35107812,0.3810126,0.40217003,0.3942829,0.35073507,0.27971885,0.20374535,0.13926575,0.09391155,0.06502416,0.04869094,0.040373642,0.03639911,0.03363639,0.030607633,0.027193302,0.023904778,0.021033764,0.018580725,0.016468443,0.015157697,0.01620316,0.023502802,0.04356225,0.08394853,0.14640044,0.22191894,0.2910008,0.33639026,0.35236824,0.34584185,0.32398543,0.28964564,0.2459749,0.20607363,0.18742728,0.19767354,0.22373511,0.2412015,0.23324609,0.20478189,0.17673256,0.16721113,0.17610116,0.18773782,0.18877448,0.18167442,0.18108533,0.1975264,0.22632289,0.2512297,0.25687823,0.2389645,0.20503397,0.16939485,0.14573516,0.141596,0.15491222,0.175958,0.19374125,0.20351724,0.20707338,0.21051157,0.22066797,0.2474693,0.29542634,0.35751048,0.40973842,0.43109122,0.4170293,0.38477042,0.35290813,0.32906422,0.30687162,0.277087,0.23514928,0.18421726,0.13282391,0.09071463,0.06458413,0.056307018,0.061874013,0.07317715,0.079763085,0.07565549,0.06152383,0.04551092,0.038842063,0.053809453,0.09841859,0.16560517,0.23013069,0.2593352,0.24086988,0.1929385,0.15305507,0.150802,0.19199379,0.25981882,0.32496703,0.3621889,0.3631737,0.33862552,0.30639246,0.27515677,0.2441904,0.2093112,0.17228268,0.13746531,0.110863715,0.09722824,0.10029062,0.12004826,0.15267603,0.19279154,0.23486944,0.27262035,0.29964602,0.31153837,0.30970135,0.29897448,0.28823248,0.2844395,0.2922403,0.3065343,0.3190622,0.32142767,0.31655118,0.313719,0.32628775,0.35539055,0.39043832,0.40914014,0.40083304,0.36926278,0.3335955,0.30599394,0.28860196,0.271863,0.2470903,0.2097068,0.16353069,0.117154844,0.08189888,0.06695182,0.07980779,0.121779494,0.18712096,0.2591328,0.31940174,0.35359237,0.36170116,0.35474828,0.3506573,0.35871935,0.3710169,0.3650087,0.32551536,0.26219442,0.2080102,0.19454564,0.23311599,0.30596432,0.38073888,0.42280757,0.41752756,0.3710939,0.30659088,0.24447076,0.19812544,0.17499958,0.17815836,0.20194487,0.22915213,0.24235217,0.23639685,0.22198169,0.21644992,0.22956282,0.26058805,0.2966542,0.32325733,0.32658228,0.30345336,0.26103586,0.21905398,0.20059033,0.21909706,0.26780915,0.32224134,0.35883626,0.3697789,0.36674413,0.36906517,0.38838413,0.41958618,0.44225323,0.4379984,0.4044645,0.3580341,0.31829157,0.294562,0.283804,0.27788317,0.27039692,0.25854108,0.2428296,0.22656487,0.21356143,0.2060621,0.20088954,0.19127373,0.16991757,0.13678156,0.098746896,0.06744919,0.0532786,0.06512862,0.106381,0.16768879,0.22393167,0.24544632,0.22044517,0.16463089,0.11322829,0.09900125,0.13618381,0.21139272,0.2902813,0.3361089,0.33489212,0.30084333,0.262501,0.23903836,0.23400837,0.24008465,0.24889006,0.2535876,0.2504823,0.23898359,0.22233076,0.20641112,0.19921519,0.20673041,0.229008,0.2570264,0.27874947,0.2863865,0.28182986,0.27229097,0.26505408,0.26262987,0.26341346,0.26305786,0.25788048,0.24691385,0.23525883,0.2332023,0.25338402,0.29661068,0.3482395,0.380245,0.37772322,0.3453878,0.30682352,0.2788086,0.26642504,0.26204124,0.25729677,0.24453317,0.22088037,0.18894653,0.15876617,0.14221089,0.14786917,0.17525381,0.21636231,0.25737312,0.28565052,0.29345512,0.28375933,0.26865995,0.2661749,0.2854103,0.3175868,0.33543515,0.3176149,0.26758566,0.21763287,0.20251207,0.2376002,0.30661502,0.3761343,0.41271305,0.40510646,0.36369765,0.3095187,0.25622198,0.20961072,0.17616268,0.16489029,0.17969275,0.21044393,0.23985547,0.25520897,0.25757357,0.2574208,0.2638079,0.27581385,0.28261814,0.2738745,0.24691962,0.20993729,0.17446631,0.15228425,0.14969598,0.16729195,0.19652466,0.22584903,0.24642718,0.26014104,0.27573565,0.30492333,0.3504082,0.4036365,0.44384038,0.45478985,0.43471384,0.3998176,0.36913243,0.35270116,0.34781265,0.34560403,0.33860275,0.32491362,0.30783054,0.29254314,0.281781,0.2753859,0.27104965,0.26753262,0.26412,0.26074302,0.2547875,0.24258713,0.22386031,0.2080067,0.21080697,0.23743205,0.2718968,0.28276944,0.25247124,0.19109422,0.13382612,0.114454985,0.1479557,0.21783446,0.28495017,0.30741587,0.27068195,0.19423018,0.11637347,0.06419151,0.043662976,0.04421291,0.05277026,0.059211463,0.059177008,0.05320644,0.047092304,0.049759354,0.07096713,0.114372544,0.17368388,0.23243928,0.2754722,0.2966802,0.30229363,0.3014052,0.30046976,0.29967856,0.2972151,0.2909281,0.2811874,0.26985088,0.26239014,0.26590595,0.28899565,0.32960477,0.37392303,0.39668295,0.38557908,0.3460542,0.30142608,0.26872465,0.25372404,0.24981563,0.24959715,0.2471674,0.24069852,0.23091863,0.22120066,0.21555741,0.21872002,0.23377836,0.25914586,0.285485,0.300822,0.29977152,0.29007968,0.28718534,0.3043598,0.34196138,0.3881396,0.42288646,0.43195847,0.4113786,0.37174997,0.33033136,0.30877742,0.31842253,0.3534976,0.38682553,0.39372966,0.3683634,0.32910562,0.2963946,0.27929077,0.2737114,0.27372333,0.27741942,0.28678584,0.3018342,0.31721926,0.32120216,0.30562833,0.27178872,0.23458852,0.20847364,0.19993675,0.20072101,0.19965129,0.189617,0.17422824,0.16157363,0.15814406,0.16358376,0.17273253,0.18004817,0.18540382,0.19577134,0.22344331,0.27444652,0.33854198,0.3879451,0.396876,0.36128464,0.30280223,0.24948967,0.21652882,0.20115523,0.19219345,0.17942834,0.15853143,0.13082416,0.102458514,0.08097047,0.07222899,0.07627663,0.08712878,0.0946827,0.09233877,0.081085265,0.07072944,0.07416941,0.1021654,0.15694498,0.22655213,0.28716135,0.31431186,0.30183098,0.2654427,0.23425345,0.23155023,0.26526067,0.3228971,0.37860337,0.4055202,0.39546287,0.36107242,0.32566032,0.30249724,0.29240286,0.28833845,0.2847264,0.27691168,0.26105437,0.23563717,0.2058366,0.18325533,0.18023519,0.20015867,0.23462796,0.26733804,0.28620887,0.28842184,0.28064135,0.2705584,0.2630503,0.2578398,0.25238693,0.2430973,0.22742651,0.20440269,0.17927827,0.16467126,0.17897616,0.22778825,0.29631948,0.34973896,0.36503446,0.34209076,0.30518478,0.2739027,0.25493765,0.23951267,0.2180485,0.18539476,0.14568141,0.10867242,0.085616715,0.08348719,0.104798675,0.14654176,0.20038481,0.25116697,0.28451005,0.2932488,0.28379467,0.27015865,0.2680639,0.28326258,0.30836126,0.3236272,0.31227615,0.27134347,0.21787725,0.17818414,0.17728771,0.21981704,0.2868179,0.3393295,0.34948674,0.31482515,0.26070258,0.21300858,0.18498631,0.1735083,0.17105658,0.17126308,0.17195411,0.1726182,0.17426467,0.17744468,0.18481435,0.19794078,0.2171397,0.23648572,0.24939144,0.2504895,0.24181332,0.23000018,0.22583629,0.23760058,0.2654626,0.29716566,0.31463984,0.3063668,0.2785733,0.2524244,0.25311598,0.2902199,0.3508327,0.40284562,0.42018315,0.39788437,0.35444155,0.3107448,0.2767516,0.24871938,0.21983987,0.18648607,0.1504759,0.11574628,0.08690866,0.06711718,0.058694005,0.060357153,0.06723027,0.071750335,0.07234826,0.07719075,0.10079312,0.15047894,0.21873212,0.28754398,0.3384141,0.36023417,0.34870744,0.3102926,0.26171708,0.22760789,0.22709264,0.26422694,0.32349852,0.37731472,0.3992859,0.38086423,0.3337736,0.28106713,0.23812258,0.20798951,0.18409409,0.16165999,0.14205994,0.13328545,0.14332004,0.17213227,0.21035494,0.24553399,0.27179918,0.29016137,0.30264568,0.3072467,0.29960763,0.27970505,0.25392967,0.23471661,0.23159198,0.24608874,0.26787105,0.2839587,0.2863548,0.28013888,0.2785428,0.29657063,0.33515272,0.37866578,0.39955184,0.38360545,0.3376321,0.28597078,0.24653988,0.22360194,0.20855571,0.19186012,0.16780871,0.1381136,0.110583924,0.09614406,0.10372243,0.13550194,0.18549524,0.23988037,0.28388372,0.307626,0.3108557,0.30018625,0.28684497,0.28361395,0.2985127,0.32710543,0.3500398,0.34644488,0.30797789,0.24892414,0.1975721,0.18559915,0.22410576,0.29593828,0.3561882,0.3676697,0.3209143,0.24289088,0.16942726,0.12834625,0.12592232,0.15278502,0.18848689,0.21525411,0.22503728,0.22406946,0.22344257,0.23464163,0.2612707,0.3011721,0.34149146,0.36716917,0.36501503,0.33654568,0.2961233,0.26690257,0.26527974,0.29194275,0.33048737,0.36007702,0.36769104,0.35541093,0.3361306,0.3289976,0.34532106,0.38150135,0.4147019,0.4236491,0.403066,0.36957514,0.34213257,0.3291696,0.32584044,0.32406345,0.31859148,0.3081995,0.29434487,0.28027967,0.26895428,0.26092753,0.2530401,0.24188013,0.2260273,0.20811896,0.19091468,0.17722811,0.17023991,0.17648876,0.20060478,0.2374152,0.26973346,0.27865267,0.2586897,0.2221275,0.19226755,0.19062088,0.22540665,0.28305128,0.33036044,0.33409157,0.28509265,0.20497745,0.12822627,0.07811537,0.05822381,0.058849346,0.06748142,0.07425406,0.07419365,0.06810946,0.06102915,0.059274483,0.06478488,0.07402354,0.07895228,0.075404525,0.06570201,0.05833852,0.06041224,0.07531617,0.103821665,0.14526431,0.19602358,0.24608044,0.28397444,0.3036548,0.31184408,0.32321265,0.34979978,0.38757455,0.41704234,0.4158417,0.37891388,0.32145944,0.2680792,0.23319864,0.21735297,0.21209092,0.21017675,0.20737898,0.2021781,0.1943466,0.18655954,0.18503475,0.19701813,0.22464228,0.26043,0.2899165,0.30037662,0.28853202,0.2630538,0.24041726,0.23792298,0.2609708,0.29803643,0.32508823,0.32642618,0.3043947,0.27859262,0.2686622,0.28683367,0.3279835,0.37333322,0.39481091,0.3796415,0.3366908,0.2923905,0.26349857,0.2511073,0.24472736,0.23888862,0.2346856,0.23635958,0.24322207,0.24944238,0.24727464,0.2336848,0.21176715,0.18980648,0.17538899,0.17254324,0.17715217,0.18154705,0.1808021,0.1821019,0.19846009,0.2364723,0.2843264,0.3213383,0.3329775,0.32557258,0.31800327,0.33116767,0.3674532,0.4114547,0.4335468,0.41757008,0.3684577,0.31239697,0.2709783,0.25168076,0.24671464,0.2465897,0.2453522,0.24181344,0.23590483,0.22770463,0.21677183,0.20387717,0.18992503,0.17668901,0.16469717,0.155674,0.15045428,0.15087406,0.15802751,0.17546614,0.20443708,0.2398603,0.2667024,0.2703725,0.24783109,0.21386833,0.1917975,0.2026021,0.24930052,0.31339133,0.35836855,0.35682943,0.30779728,0.23919861,0.1814834,0.14969264,0.1394736,0.13981593,0.14133026,0.1398055,0.1348946,0.12927975,0.12622543,0.12823908,0.13474597,0.14282382,0.14731838,0.1454414,0.13730626,0.12713665,0.12024081,0.12368771,0.14504224,0.18754126,0.24444984,0.29779854,0.32977474,0.33455113,0.32426006,0.32047367,0.3377612,0.37102687,0.3964505,0.3903527,0.34877792,0.29032472,0.24017169,0.21108,0.20053244,0.19858181,0.19762337,0.19471622,0.19021948,0.18624175,0.1855582,0.19158621,0.20646507,0.22864354,0.2509763,0.26391682,0.26255026,0.25130114,0.24293841,0.24916305,0.27440426,0.30917028,0.3382908,0.3469094,0.335024,0.31323317,0.29978645,0.30645564,0.33638033,0.3771026,0.40669584,0.40270486,0.36215186,0.30272755,0.25204733,0.22539574,0.22216515,0.23169881,0.2446994,0.2552303,0.2599817,0.25669858,0.24450926,0.22434354,0.19908874,0.17316519,0.15168642,0.13960488,0.14049123,0.1544567,0.17693193,0.20040458,0.21879749,0.2298367,0.23423797,0.23288028,0.22629495,0.21483146,0.20228016,0.19737162,0.2148696,0.26149538,0.32780388,0.38407958,0.40685546,0.39162564,0.35822082,0.32507196,0.29921618,0.27321216,0.23981911,0.19806217,0.15501232,0.11919529,0.09636823,0.08678231,0.08829957,0.09594435,0.104281306,0.10630841,0.10027719,0.08885661,0.080605686,0.08316008,0.103451155,0.1412048,0.18680964,0.22093047,0.22832353,0.20998812,0.18557365,0.17878492,0.20411444,0.2560586,0.31330344,0.34493867,0.33351696,0.28460383,0.22719736,0.1881675,0.17913787,0.19375543,0.22153209,0.25211582,0.2770985,0.2894185,0.28813753,0.2791362,0.27148822,0.27122736,0.27847984,0.28819498,0.2936835,0.28966177,0.27446607,0.251003,0.22700243,0.21368758,0.21876974,0.24089086,0.26772705,0.28596237,0.28905854,0.28142953,0.2723337,0.27013728,0.27720627,0.28829232,0.29260972,0.27865317,0.24191155,0.18749939,0.1289252,0.07971042,0.047616124,0.031575702,0.026411824,0.028137913,0.038377404,0.06317412,0.107763864,0.16966051,0.23643614,0.2909757,0.32180294,0.32806733,0.31783935,0.30034843,0.2836565,0.2725917,0.26977062,0.27201283,0.27316278,0.2673416,0.25510713,0.24225384,0.23679906,0.24414504,0.2643096,0.29111677,0.3141132,0.32459107,0.3196684,0.3031399,0.28150973,0.2609314,0.24562013,0.23641688,0.23044537,0.22113208,0.2027415,0.174565,0.14457043,0.12666713,0.13223843,0.16143768,0.20035566,0.23046446,0.23968911,0.2301014,0.21324492,0.20135099,0.19829892,0.19843541,0.19213946,0.1744615,0.14957874,0.13050683,0.13390091,0.1737249,0.24790335,0.33435807,0.39725268,0.41461083,0.39030382,0.35057712,0.31786183,0.30014038,0.29192707,0.2866166,0.28063133,0.2733589,0.26511866,0.25709066,0.2506495,0.24665101,0.2437967,0.24021971,0.23439638,0.22758676,0.22131069,0.21739902,0.21762688,0.22698343,0.2482462,0.27640882,0.29532865,0.2910488,0.26294652,0.2291631,0.21279074,0.23174727,0.28373316,0.34985545,0.3976374,0.40794167,0.3815788,0.34187245,0.3087487,0.2913696,0.28535,0.28527594,0.28701213,0.28834757,0.28675973,0.28052333,0.27032223,0.2600937,0.2548611,0.25708878,0.26388443,0.26945084,0.26909536,0.26281348,0.2539016,0.24683732,0.24429081,0.24656148,0.2512696,0.25524905,0.25591794,0.25445685,0.25663728,0.272323,0.3060243,0.34992266,0.3826028,0.3850747,0.35375014,0.3035837,0.2543837,0.21918254,0.20033495,0.19358318,0.19219343,0.18976887,0.18225352,0.17029722,0.15876967,0.15443589,0.15865348,0.16510935,0.16173269,0.1423657,0.112246215,0.08800616,0.08818828,0.1245906,0.19342475,0.2730497,0.33290204,0.35368347,0.33954325,0.31364515,0.29797208,0.3042144,0.32912016,0.35963592,0.37395146,0.3575709,0.31545332,0.27121013,0.24542134,0.23846193,0.23707372,0.23126526,0.22383533,0.22030742,0.22009827,0.21764565,0.21229047,0.21222003,0.22622333,0.25519523,0.28962028,0.31891692,0.33608058,0.3407763,0.33439353,0.32217705,0.31041896,0.304895,0.30407992,0.3001381,0.2867826,0.26672366,0.25342354,0.26072773,0.2941668,0.34277475,0.3854467,0.40179577,0.38774922,0.35490966,0.32209492,0.30076155,0.29342654,0.29565796,0.30195543,0.3066261,0.30512264,0.2941066,0.27226457,0.24116953,0.20492047,0.16843164,0.1344041,0.103719614,0.076923795,0.056426074,0.047019962,0.055266052,0.08699658,0.1374221,0.18838984,0.2129998,0.19838838,0.15413725,0.11079464,0.09786344,0.13077016,0.1993742,0.27428406,0.32110795,0.3254372,0.29922342,0.2697642,0.25438926,0.25300145,0.25254858,0.24208526,0.21792084,0.1854753,0.1541152,0.1331378,0.12862323,0.14318626,0.17612137,0.22123222,0.26704204,0.30141723,0.31816372,0.31931746,0.310634,0.29740977,0.28215358,0.26597518,0.24851613,0.228508,0.20461018,0.18029971,0.1662796,0.17802884,0.2195246,0.27564183,0.31492817,0.3172698,0.2846278,0.24009873,0.20326845,0.18238759,0.17303888,0.16908266,0.16533075,0.15974064,0.15161394,0.1417411,0.13139492,0.1225391,0.115791835,0.109674804,0.10120159,0.09222189,0.09163929,0.1131013,0.16252117,0.23190308,0.29761884,0.33526668,0.33208224,0.3001718,0.2652734,0.25336716,0.27046892,0.31015775,0.35544562,0.39305726,0.40722275,0.39444935,0.3598725,0.32120788,0.29128554,0.27691802,0.27608833,0.28226992,0.28516367,0.27711692,0.26068017,0.2479739,0.24982387,0.2654761,0.28353786,0.29285815,0.29064527,0.2824186,0.27408585,0.2666297,0.25625864,0.24023373,0.22054607,0.20309067,0.19457102,0.20093173,0.2258894,0.26992226,0.32769287,0.39187,0.4516716,0.49694014,0.5149241,0.50071865,0.45745495,0.40031055,0.3452064,0.3050197,0.28313747,0.27589872,0.27501154,0.27343312,0.26833892,0.2615002,0.25602984,0.25411364,0.2542009,0.25278378,0.2452933,0.23071074,0.21009152,0.18790227,0.17006798,0.16598164,0.18084286,0.2087544,0.22951345,0.22428109,0.19093645,0.15017015,0.12914671,0.14706594,0.20015234,0.26720718,0.31475112,0.32314873,0.2937175,0.2508348,0.21633732,0.19997549,0.19714469,0.20176552,0.20945935,0.21739292,0.22214496,0.22185145,0.21772712,0.21417017,0.21543075,0.2230619,0.23331733,0.24036293,0.23939033,0.23072366,0.21778165,0.20609753,0.20051648,0.20420872,0.21548183,0.22829546,0.23596162,0.23753624,0.23972471,0.25331938,0.28276035,0.31934837,0.3426205,0.3362805,0.3009091,0.2543266,0.21619153,0.19532694,0.18847036,0.18741883,0.18518509,0.17769389,0.16361713,0.14494579,0.12733634,0.12048442,0.1328596,0.16610795,0.20902622,0.24361396,0.25346676,0.23610653,0.2042044,0.18206058,0.1892308,0.22593886,0.2679169,0.28508592,0.26676574,0.23379666,0.22083761,0.250373,0.31300595,0.3757073,0.39971623,0.36919275,0.29922387,0.22930886,0.19248027,0.19639121,0.21972615,0.23620474,0.23358792,0.22247756,0.22048609,0.23726411,0.26599753,0.2933613,0.3096379,0.31521952,0.31653866,0.32169363,0.3347386,0.3538109,0.37163493,0.38065913,0.37845364,0.36922097,0.3596739,0.3525844,0.34292507,0.3237363,0.29622748,0.27686253,0.28513277,0.3249048,0.37437677,0.40292326,0.3943983,0.35645267,0.30774683,0.26122555,0.21991362,0.18155088,0.14537907,0.112295516,0.08471718,0.065023415,0.055769484,0.058797527,0.07215315,0.08906355,0.09875431,0.096498735,0.08818215,0.090809114,0.118140124,0.17196779,0.23770118,0.2936468,0.3201633,0.30944073,0.26963758,0.22298503,0.19510217,0.20287389,0.2444303,0.30103925,0.34355947,0.35064033,0.32098624,0.27675465,0.24485433,0.23814332,0.24895269,0.262746,0.27098665,0.27346367,0.27150324,0.26416507,0.2514365,0.23702379,0.22855537,0.23139197,0.24472718,0.26050308,0.27061805,0.27247238,0.27027276,0.26845154,0.26886275,0.27040517,0.27312076,0.27585065,0.2774028,0.27602327,0.27575186,0.28455508,0.31004128,0.34767458,0.38035783,0.38695398,0.36042345,0.3107002,0.25704506,0.21170223,0.17803733,0.15296005,0.1340087,0.11915668,0.108872235,0.10568491,0.115220726,0.14342593,0.19356565,0.26085833,0.33062568,0.38319814,0.40629947,0.4029397,0.38930646,0.38162616,0.3872912,0.40005174,0.40782127,0.39937246,0.37620762,0.3500496,0.33954585,0.35572508,0.39853883,0.4513425,0.49120292,0.49734393,0.46567214,0.40657273,0.3408145,0.288734,0.26477087,0.26940617,0.28671148,0.29573247,0.28607985,0.26844144,0.26076356,0.27515408,0.30671725,0.34299305,0.3692828,0.37873635,0.3716596,0.3558811,0.3395586,0.3271847,0.32078323,0.32179084,0.33373475,0.35459766,0.37938985,0.39957055,0.41450933,0.42741728,0.44292524,0.45521024,0.45235643,0.42513576,0.3809344,0.3397483,0.32139602,0.32986048,0.35425735,0.37794605,0.38993716,0.38755238,0.37415543,0.35619113,0.3405199,0.33290672,0.33410034,0.34013596,0.34436038,0.3437829,0.33990708,0.3371984,0.33915994,0.34806204,0.3648113,0.3861529,0.4037925,0.40742078,0.39428285,0.37185493,0.3549062,0.35589567,0.37880632,0.4152129,0.4475509,0.45865235,0.44417858,0.4145212,0.38633847,0.36941114,0.36397454,0.36423564,0.3649393,0.36290368,0.35747325,0.34992,0.34343922,0.34214282,0.34891012,0.36331084,0.38040975,0.39365423,0.39844617,0.3952959,0.38771477,0.3791215,0.37037143,0.36109805,0.35128233,0.34203824,0.33397868,0.32792893,0.32628533,0.33548704,0.35993794,0.3952291,0.424724,0.43173254,0.41210008,0.37747982,0.34324494,0.31690773,0.2966669,0.2777834,0.25813365,0.23826194,0.21979745,0.20447403,0.19421609,0.1905079,0.19128048,0.18996118,0.17765844,0.15129776,0.11645579,0.08576865,0.071905084,0.08541111,0.13082103,0.20175564,0.27757224,0.33330786,0.35653734,0.35634515,0.3544104,0.36809543,0.39842367,0.42930245,0.43763542,0.40992665,0.3560288,0.30376354,0.27760863,0.2779286,0.28465095,0.27888417,0.2613,0.24670832,0.2444662,0.2464274,0.23811106,0.21747416,0.20153414,0.2089567,0.24098031,0.27700493,0.2930429,0.28005114,0.25099292,0.22941123,0.23386061,0.2650256,0.3060299,0.33294368,0.33089158,0.30334976,0.2710061,0.2605032,0.28766438,0.34633446,0.4089862,0.44623864,0.44421506,0.41168728,0.36747155,0.3288089,0.30367222,0.29280838,0.29132852,0.2927909,0.2908962,0.2829211,0.2694559,0.25506136,0.24374527,0.23699813,0.23153229,0.22439937,0.21497983,0.20645809,0.20267083,0.2076689,0.22374241,0.2474664,0.2685032,0.27382162,0.25850776,0.22868896,0.19957602,0.18722492,0.20101489,0.23496349,0.2656233,0.2661921,0.22678147,0.16402315,0.10642186,0.07339231,0.06554594,0.07167777,0.080252446,0.08608859,0.09064395,0.09902985,0.11460934,0.13760793,0.16478251,0.19411628,0.22293968,0.24867554,0.26680022,0.27536193,0.27521637,0.27003047,0.26290983,0.25580376,0.24916176,0.24240805,0.2332289,0.21935235,0.20245878,0.19177496,0.19962847,0.22923075,0.267764,0.29364082,0.2953274,0.27835575,0.25815794,0.24440342,0.23737045,0.23215322,0.2253807,0.21570247,0.20206223,0.18360482,0.16258733,0.14727163,0.14751345,0.1662649,0.19219953,0.20795894,0.20245224,0.18173867,0.16214363,0.16110031,0.18643992,0.23377661,0.2867113,0.32460573,0.33491668,0.32166228,0.30287337,0.2982786,0.31575453,0.3446965,0.36045137,0.34005138,0.27967545,0.19857566,0.12671039,0.08563813,0.08033816,0.10119083,0.13181962,0.15537263,0.16168909,0.15111633,0.13389269,0.123371564,0.12881961,0.15041667,0.17904533,0.2023959,0.21310718,0.21340246,0.21040021,0.20896643,0.20846331,0.2063418,0.20222719,0.19875056,0.19901775,0.20480204,0.21737517,0.23918064,0.2728964,0.31468725,0.351779,0.36675474,0.35291335,0.3187039,0.28295657,0.2589785,0.24989247,0.25057292,0.25491837,0.25821814,0.2576572,0.25260082,0.24479602,0.23745908,0.23228826,0.22735383,0.21785218,0.20020242,0.17596841,0.15129271,0.13458937,0.13275476,0.1509882,0.18605793,0.22533254,0.24795075,0.24262494,0.21472597,0.18626617,0.17788655,0.20044471,0.24703701,0.29928777,0.33245823,0.33432198,0.3089802,0.27511078,0.24714543,0.23179375,0.22816859,0.2352347,0.24956433,0.2655817,0.27599356,0.2771922,0.26986644,0.26045758,0.25555182,0.26004636,0.2706921,0.28141144,0.28442267,0.27769825,0.26147714,0.24143581,0.22430314,0.21802254,0.2233832,0.23529322,0.24422856,0.24726184,0.24887753,0.26059714,0.28612897,0.3179823,0.3366916,0.3313273,0.3048577,0.27399433,0.25038972,0.23628278,0.22630878,0.21666259,0.20678431,0.19746037,0.18907674,0.18139333,0.174493,0.16840875,0.16309148,0.1580183,0.15280351,0.14736478,0.1421559,0.13766743,0.13414975,0.13145044,0.1292557,0.12733068,0.12564793,0.12423731,0.12302673,0.12173585,0.1201502,0.118954696,0.12079292,0.13103531,0.15530437,0.19568928,0.2463483,0.2957256,0.33161986,0.3479418,0.34555486,0.32958484,0.305515,0.27655214,0.24466199,0.21157353,0.18174006,0.16120288,0.15562166,0.1658035,0.18672268,0.20958258,0.22611438,0.23113877,0.22218002,0.1991864,0.16585366,0.13171716,0.109247394,0.10693321,0.12279741,0.14637919,0.1666882,0.17927144,0.18521853,0.18538089,0.17741156,0.15899931,0.13338935,0.11008752,0.10020258,0.10942348,0.13426697,0.16349132,0.18447037,0.19055104,0.18393974,0.172244,0.16183658,0.15454455,0.14944269,0.14605862,0.14509356,0.14614145,0.14713383,0.1460189,0.14330877,0.14139263,0.14179142,0.1437097,0.14516713,0.14556801,0.14568113,0.14662533,0.14814334,0.14956462,0.15038072,0.15106629,0.1517676,0.15215547,0.1515895,0.15022571,0.14884792,0.14793761,0.14737222,0.14678185,0.14641333,0.14659432,0.14760482,0.14953792,0.15312588,0.15927704,0.1683789,0.17925523,0.18973905,0.19771959,0.20232575,0.20380928,0.20292483,0.20033264,0.1966716,0.19266166,0.18901582,0.18603025,0.18359631,0.18134816,0.17913473,0.17706054,0.17545296,0.17441636,0.17362933,0.17240256,0.1701483,0.16676724,0.16255493,0.15791847,0.15306914,0.14816211,0.14333327,0.13875599,0.13450223,0.13063845,0.1281728,0.13016066,0.14172213,0.1659057,0.19860195,0.22771436,0.24085815,0.23519818,0.21913473,0.20460837,0.19718128,0.19461535,0.19159637,0.18547224,0.17712046,0.16892506,0.16300319,0.15970801,0.15789276,0.1542484,0.14600182,0.13207136,0.11535271,0.10031625,0.091252305,0.089790024,0.095600106,0.107371174,0.12251093,0.13709892,0.14593717,0.1469094,0.14180036,0.1367064,0.13694008,0.14508289,0.157806,0.167924,0.16776913,0.15598638,0.13838942,0.12389493,0.11690629,0.116069086,0.11707056,0.11740184,0.11626349,0.11392883,0.11027557,0.10578063,0.100861706,0.096254826,0.09229654,0.08968229,0.08841,0.08817462,0.08780089,0.086607136,0.083994396,0.080175705,0.07589843,0.072763816,0.072649576,0.07622685,0.08251668,0.08840995,0.09153124,0.0912891,0.08953878,0.087446295,0.08396854,0.076981105,0.065568805,0.051455628,0.036995623,0.024337055,0.014473063,0.007890474,0.0042026793,0.0025081036,0.0017712835,0.0013757023,0.001107966,0.00093966577,0.00084969396,0.0008050951,0.0007731184,0.00073041656,0.000667528,0.0005899601,0.0005083284,0.0004305465,0.00035868643,0.00029456415,0.00023973848,0.00019454717,0.0001561242,0.000121407946,8.9063804E-05,6.030886E-05,3.7017016E-05,2.0303303E-05,9.800848E-06,4.0772998E-06,1.4223816E-06,3.9219898E-07,7.921687E-08,8.5373655E-09,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]