[0.54985046,0.51204413,0.43426332,0.34964204,0.2902554,0.27275315,0.29393622,0.33778274,0.38363323,0.41452825,0.42119023,0.40543136,0.3760942,0.3450127,0.32176706,0.31220904,0.31446168,0.3197564,0.3180283,0.30796313,0.29638684,0.2917569,0.2950828,0.30309787,0.31089887,0.31593803,0.3160754,0.31129238,0.3036604,0.29682428,0.29412472,0.29643524,0.3017095,0.30530667,0.30404177,0.2985122,0.29287997,0.2907704,0.2930801,0.29912412,0.30775583,0.31706095,0.32090923,0.31126425,0.2832965,0.24288978,0.20434482,0.1822323,0.1809115,0.19285595,0.20391011,0.20289804,0.18717162,0.16309832,0.14104772,0.13089247,0.13866751,0.1652224,0.20445228,0.24431519,0.271203,0.27654925,0.26053882,0.2319044,0.20389245,0.18884443,0.1922288,0.21028239,0.23259254,0.24849932,0.25243118,0.24552388,0.23400266,0.22494988,0.2222743,0.22406738,0.22539167,0.22190942,0.2135465,0.20257907,0.19199984,0.18307267,0.17590664,0.16973586,0.16359645,0.15698238,0.14971317,0.14248921,0.13589798,0.13057894,0.12628485,0.12263899,0.11908138,0.11550016,0.11170038,0.10749888,0.10255364,0.09687161,0.090657376,0.08446031,0.078767836,0.07405824,0.07039475,0.06747795,0.06467206,0.061411917,0.057498295,0.05316652,0.048962604,0.04538618,0.04271145,0.040889084,0.039694626,0.03878653,0.037800323,0.03645332,0.034741666,0.032940883,0.031382915,0.030150743,0.029070502,0.027943581,0.026795382,0.025851676,0.025348313,0.025375562,0.025849393,0.02659002,0.027395591,0.028131986,0.028742962,0.029507862,0.03189646,0.040014546,0.060375612,0.098755,0.1549292,0.22172928,0.28859046,0.3471962,0.3907499,0.41242322,0.40630004,0.37450278,0.3293899,0.28781864,0.2614254,0.25115225,0.2507939,0.25157228,0.24890937,0.24175458,0.23447551,0.23248442,0.24351382,0.27052402,0.30944303,0.3445004,0.3581833,0.34036565,0.29662848,0.2424261,0.19553562,0.16774738,0.1623394,0.17359017,0.1922133,0.21228872,0.23506002,0.26461837,0.3007786,0.336337,0.36073664,0.36589774,0.3505343,0.32049647,0.28650123,0.2584507,0.2408061,0.23099412,0.22185574,0.2065556,0.1819589,0.15190424,0.12567614,0.114179134,0.12225494,0.14534171,0.17210418,0.19213653,0.20168065,0.20281577,0.19907914,0.19163172,0.18067382,0.16825503,0.16011047,0.16213793,0.17605038,0.19684732,0.21643691,0.2287729,0.23336343,0.23392673,0.2352321,0.24006395,0.24788731,0.2553006,0.25824252,0.25497296,0.24688374,0.23691504,0.22673148,0.2164923,0.20565003,0.19438738,0.18267661,0.17046446,0.15747088,0.14456978,0.13274354,0.12278523,0.11417087,0.10644188,0.099391945,0.093640484,0.08948683,0.08685589,0.08521205,0.0840733,0.083169766,0.08236068,0.081715144,0.08128727,0.081145205,0.08109922,0.080833994,0.080052756,0.07868836,0.076992296,0.07524836,0.073613696,0.07180764,0.06932091,0.06565099,0.060732175,0.055075735,0.049485624,0.044717122,0.041031286,0.038340762,0.03627817,0.03458442,0.033096213,0.0318026,0.030640423,0.029494723,0.02824617,0.026919408,0.02566567,0.024637641,0.023863235,0.023276718,0.022811353,0.022854008,0.025140993,0.03364459,0.05416724,0.09094908,0.143294,0.20315857,0.25952965,0.3029112,0.33113405,0.34740236,0.35759112,0.3651798,0.37066057,0.37284005,0.37084404,0.3650999,0.35600594,0.34439087,0.33250785,0.3242537,0.3220153,0.32232726,0.31925768,0.30992556,0.29967916,0.2949088,0.29720366,0.301615,0.30460155,0.3083334,0.31815568,0.335916,0.35666046,0.37239018,0.3771484,0.3712252,0.35842514,0.34328422,0.3267478,0.30966127,0.2951078,0.29013953,0.2995739,0.3202487,0.34150037,0.35195944,0.347742,0.33320144,0.31703976,0.3069207,0.30569875,0.3109003,0.31452024,0.30806023,0.2867993,0.25517172,0.22487319,0.21082532,0.22234769,0.2578853,0.3038671,0.34279552,0.36378184,0.36818507,0.36594328,0.36554047,0.36791226,0.36732543,0.35921073,0.34564447,0.33366385,0.32838073,0.32859924,0.32976818,0.3293167,0.32811812,0.32792342,0.32856038,0.32897636,0.3282635,0.32673302,0.325037,0.32449222,0.32571784,0.326668,0.3211104,0.30148956,0.26505092,0.21749787,0.17022945,0.1328527,0.108360834,0.09381423,0.08463255,0.07762789,0.07159155,0.06657796,0.06308348,0.06145698,0.06133162,0.061721455,0.061580617,0.060434535,0.058424946,0.055891305,0.053063814,0.05007484,0.047133107,0.044556722,0.04261811,0.04140514,0.040757015,0.040325496,0.03974725,0.038820703,0.037621472,0.036394883,0.035404816,0.034813523,0.034675006,0.034924965,0.03537874,0.035806134,0.03607081,0.03622338,0.036418375,0.036731243,0.037010368,0.037067667,0.038195763,0.044961497,0.06585941,0.10772125,0.16922402,0.23672988,0.2927413,0.32449213,0.33064315,0.3161173,0.29008177,0.263692,0.2500728,0.2579383,0.28560784,0.32107428,0.3494723,0.3627982,0.36325574,0.35915318,0.3566874,0.35512853,0.34908602,0.33447504,0.31227103,0.28715906,0.2642055,0.24720053,0.23847985,0.23818402,0.2439826,0.25210193,0.26084796,0.27089745,0.28410223,0.3002013,0.3170236,0.33151507,0.34103295,0.34406713,0.34000656,0.32941929,0.31324622,0.29306838,0.27250522,0.25716585,0.25395158,0.2660117,0.29129305,0.32153293,0.34698987,0.36073688,0.3616309,0.35413978,0.343394,0.33338562,0.32427344,0.3160312,0.30786595,0.30087066,0.29567862,0.2933922,0.29262075,0.29109606,0.2860205,0.2779663,0.2696502,0.26455477,0.26318467,0.2636741,0.26331952,0.2613659,0.25906634,0.25804818,0.2580782,0.2573017,0.2542586,0.249687,0.2455255,0.24347818,0.24377917,0.24563424,0.2468204,0.24523968,0.24006955,0.23366183,0.22931069,0.22979371,0.23566143,0.24698691,0.26341757,0.2836846,0.30374506,0.31713763,0.31792724,0.30459216,0.2815263,0.2566493,0.23692453,0.22533621,0.22022356,0.21771145,0.21450037,0.2104159,0.20763238,0.20936166,0.21735148,0.23229434,0.25169376,0.27145675,0.28573966,0.29272,0.29426876,0.29501513,0.29619816,0.29548657,0.29055524,0.28310645,0.278622,0.27958065,0.28316012,0.28140268,0.26992115,0.25074112,0.23403452,0.22975397,0.24225615,0.26514205,0.28684816,0.29741046,0.29554963,0.28670028,0.27790168,0.2723249,0.26899204,0.26486313,0.25786224,0.24843645,0.2401691,0.23732907,0.24087846,0.24529542,0.24347931,0.23748954,0.24731724,0.29940647,0.40284476,0.5281064,0.62149805,0.6383603,0.57611,0.4693685,0.36468062,0.29064623,0.25091717,0.2321467,0.21953762,0.20569472,0.19300497,0.18929124,0.20211804,0.23304214,0.2744418,0.312591,0.3339517,0.3344542,0.31944337,0.30093458,0.28876352,0.28769326,0.2949092,0.30256745,0.3030028,0.29556882,0.29049218,0.303468,0.34573618,0.41663146,0.5042804,0.59010166,0.65269953,0.6709189,0.6346751,0.5523572,0.4565594,0.38743827,0.3783752,0.4315566,0.51933026,0.5889159,0.5972343,0.52911067,0.4135678,0.29880154,0.2289009,0.21274298,0.22892363,0.24126889,0.2302444,0.20057707,0.17487095,0.17086715,0.19204073,0.22777808,0.26416624,0.28949985,0.2977867,0.28964874,0.27426514,0.26829958,0.28981325,0.35071608,0.44643506,0.55571294,0.64248157,0.6773332,0.64867574,0.5754403,0.48859993,0.41861835,0.37664536,0.36063576,0.35995117,0.3655727,0.37014675,0.36955526,0.36374196,0.35834977,0.35871205,0.36352548,0.36107144,0.3414118,0.30400237,0.2615552,0.22669971,0.20608582,0.19698364,0.19433832,0.19429378,0.19958805,0.2187913,0.2623411,0.33200935,0.41783175,0.5036046,0.5757827,0.62653416,0.64576715,0.62476486,0.5596914,0.46832895,0.38190666,0.3391076,0.3580606,0.4310356,0.5171565,0.5705161,0.55899704,0.4901776,0.39841294,0.32671407,0.2946191,0.2945421,0.30188873,0.300133,0.2885801,0.27644432,0.26857662,0.26205406,0.25199866,0.23765011,0.22317965,0.21296774,0.20926744,0.21134335,0.22014262,0.24149261,0.28892794,0.37184277,0.48517168,0.5968757,0.6672508,0.66840714,0.6100285,0.52577215,0.4535207,0.40929806,0.38840142,0.37699696,0.36586073,0.35389698,0.34398535,0.33973452,0.34404314,0.3576636,0.37618622,0.38841876,0.38284013,0.3561684,0.31862617,0.2867466,0.27298847,0.2780085,0.29320487,0.30677113,0.31061432,0.30499935,0.30101123,0.31679556,0.3657014,0.44620743,0.5388029,0.6171431,0.6564175,0.64462656,0.58410925,0.49550202,0.41039896,0.3614707,0.36911163,0.42914113,0.5128896,0.57340866,0.5741021,0.5050277,0.39636216,0.29447043,0.23957092,0.23744392,0.26479557,0.28567424,0.27970144,0.24918868,0.2121111,0.18379031,0.1694767,0.16506211,0.16477716,0.16447705,0.16298515,0.16043574,0.15757346,0.15488811,0.15274821,0.15153205,0.15116513,0.15079522,0.14857255,0.14361285,0.13669258,0.13024576,0.12554735,0.12186608,0.117086224,0.110287726,0.10262567,0.09640643,0.093171366,0.092580564,0.09280834,0.09196187,0.08944967,0.08647886,0.0849934,0.086352,0.09022669,0.09508427,0.09902104,0.10092627,0.10090006,0.10022667,0.10057923,0.10288107,0.10669627,0.11064267,0.11369318,0.11588549,0.11792421,0.120097995,0.1218415,0.122414105,0.121677786,0.12040138,0.11960655,0.12005351,0.12174925,0.124118,0.12652135,0.12887904,0.13157244,0.1345899,0.13705243,0.13798405,0.13728333,0.13601254,0.13516189,0.13501036,0.13493134,0.13466777,0.13542642,0.14099629,0.15702479,0.18787582,0.2315421,0.27711734,0.30924895,0.3188561,0.31065127,0.30239978,0.31360927,0.35753915,0.430887,0.51665574,0.5846027,0.6125732,0.5936039,0.5448395,0.48787346,0.44130468,0.4102026,0.39409804,0.3871739,0.38433465,0.38184786,0.38215518,0.3896953,0.40721872,0.42938364,0.4475117,0.45340434,0.44689927,0.43171427,0.41439056,0.39795324,0.38578787,0.37949917,0.38077554,0.3864989,0.3924254,0.39570358,0.4013994,0.4175727,0.45177993,0.5020342,0.5601179,0.6106332,0.63895506,0.6338013,0.5947433,0.534356,0.47492877,0.44173583,0.4485326,0.49170342,0.54587954,0.5805543,0.57424,0.5308317,0.47246894,0.4272761,0.40958166,0.41652024,0.4319254,0.44128332,0.43802762,0.4251189,0.4078687,0.39054286,0.3756332,0.36551428,0.3627267,0.3672665,0.37510812,0.37951377,0.37805748,0.3779005,0.3958921,0.44384256,0.5180111,0.59098893,0.63161355,0.6193071,0.5629631,0.48870575,0.4273105,0.39348915,0.38467503,0.3872637,0.38901746,0.38535798,0.37886712,0.3754301,0.38026413,0.3942382,0.41288698,0.42748073,0.43157324,0.42436036,0.4111044,0.39695334,0.38415334,0.3720437,0.36087355,0.35234138,0.349067,0.35347238,0.36942515,0.40084866,0.44835916,0.505897,0.5630195,0.609642,0.6364145,0.63427544,0.5971448,0.5310809,0.45845938,0.40950933,0.40624237,0.44602838,0.5030431,0.5402797,0.5352585,0.4898108,0.42956212,0.38205478,0.36335024,0.36872718,0.38196746,0.38583854,0.3742361,0.35242346,0.3309834,0.31697473,0.3113657,0.3107046,0.31095448,0.30962908,0.30725053,0.3064883,0.31114504,0.3259461,0.35754248,0.4113609,0.4833436,0.55484325,0.59870666,0.59711224,0.5520759,0.48522732,0.4216201,0.37993714,0.3644791,0.36964393,0.3827918,0.39244568,0.39194837,0.38267338,0.37114903,0.36615372,0.37224945,0.38765168,0.40294155,0.40792978,0.39632377,0.36960948,0.33507776,0.3028957,0.282209,0.27606258,0.2809237,0.29118457,0.30768457,0.3391601,0.3933668,0.4680418,0.5475809,0.61261505,0.646319,0.6402187,0.5942663,0.51918465,0.4369531,0.3746179,0.35582733,0.3865833,0.45148563,0.5145846,0.5409289,0.5138096,0.44925916,0.38033485,0.3388064,0.33156428,0.34494165,0.3543655,0.34728408,0.3248239,0.29907003,0.27690384,0.25957856,0.24392791,0.23005028,0.21956675,0.21457423,0.21570356,0.22343813,0.23963074,0.2690985,0.31961986,0.39445058,0.48355222,0.5600857,0.596131,0.58095217,0.530904,0.47435173,0.43374383,0.41352406,0.40667117,0.40292645,0.39665714,0.38649145,0.37598976,0.37007847,0.37435028,0.3885043,0.40750727,0.4209032,0.4229308,0.41356614,0.40075907,0.39156094,0.38946187,0.39177427,0.3933494,0.38938764,0.37935197,0.36908114,0.3706433,0.39454302,0.4430348,0.50560874,0.566792,0.61178184,0.6302428,0.61602277,0.5692219,0.50256044,0.43858254,0.40441796,0.4151077,0.46686146,0.5320843,0.57512885,0.56956,0.5174344,0.44494733,0.38613108,0.35875118,0.3577597,0.36263677,0.35639337,0.3347732,0.30601192,0.28084344,0.2671276,0.26816812,0.28370193,0.3096055,0.33847082,0.3635627,0.38223934,0.39755532,0.41564795,0.44462535,0.48817778,0.54158896,0.58634585,0.60250115,0.58024365,0.5311012,0.47669646,0.43596697,0.4141425,0.4059806,0.40311494,0.40005907,0.39606133,0.39232013,0.39058056,0.39178833,0.39727548,0.40622342,0.4148368,0.4163034,0.40731975,0.39056012,0.37436423,0.3652921,0.3642745,0.36621165,0.36472866,0.3583995,0.3524424,0.35754123,0.3810595,0.42351803,0.4770942,0.53271693,0.58196837,0.61675507,0.6276963,0.608295,0.5626914,0.5076799,0.46748248,0.46141708,0.49230897,0.5431072,0.58406335,0.5912466,0.559003,0.5033665,0.44923648,0.41682103,0.41046527,0.4202404,0.43100896,0.43425205,0.43061042,0.4246031,0.41795564,0.4098219,0.400238,0.39078888,0.38258865,0.3748176,0.36708105,0.3618158,0.365868,0.38898012,0.4384369,0.51005125,0.5839522,0.63101053,0.6316879,0.58778703,0.52243257,0.46127307,0.41991994,0.39754644,0.38647357,0.37830505,0.36948276,0.35946634,0.35108098,0.34875917,0.35743725,0.37680307,0.4003156,0.41617644,0.41761914,0.40525687,0.38784006,0.37271586,0.36431453,0.36178586,0.36300346,0.36451018,0.36614785,0.37202564,0.39096025,0.42764497,0.47953176,0.53583807,0.58609986,0.62072825,0.63077515,0.608399,0.5532573,0.48128542,0.4191167,0.39509127,0.41760942,0.47213244,0.5221665,0.53684837,0.5046277,0.44421458,0.38437724,0.35017022,0.3451246,0.35728082,0.3660666,0.36040887,0.34153104,0.32124308,0.3087692,0.3074626,0.31396067,0.323922,0.33269203,0.33825496,0.33917722,0.33626273,0.33175752,0.33512366,0.3614287,0.4209282,0.5050687,0.581759,0.61745936,0.59660536,0.5362219,0.46644175,0.41422537,0.38634202,0.376164,0.3716685,0.3656166,0.3563082,0.34646142,0.3404398,0.3430563,0.35505334,0.37136945,0.38168445,0.37993047,0.36829197,0.35628733,0.3502176,0.35003006,0.35084212,0.3502998,0.34864178,0.3483374,0.35171077,0.36451423,0.39286208,0.44027868,0.5006423,0.5606251,0.60374933,0.616167,0.5921716,0.53599775,0.46559003,0.40462255,0.3775451,0.39535332,0.4515787,0.51808983,0.5597753,0.55186707,0.49777284,0.42491353,0.36708722,0.34203944,0.34416476,0.35288832,0.35001776,0.33042297,0.30175498,0.27510986,0.25813594,0.25249007,0.2555708,0.2622695,0.26646683,0.264634,0.25684777,0.25018048,0.25602105,0.29068795,0.3620299,0.4617498,0.5567155,0.61029536,0.60191625,0.54503554,0.47083452,0.4091867,0.37149605,0.35462105,0.34946716,0.3484918,0.3481458,0.34777245,0.34984002,0.35805574,0.37528107,0.39950463,0.42309073,0.43718156,0.4373496,0.42660704,0.41106597,0.39651692,0.38517126,0.3779644,0.3736576,0.3716701,0.3726522,0.38193187,0.40579152,0.44565856,0.4949743,0.542571,0.58178043,0.6082368,0.61829203,0.60405374,0.5648563,0.51145077,0.46722922,0.45334712,0.47739956,0.5258642,0.57049704,0.5839908,0.5571614,0.5053921,0.45575646,0.4285085,0.42422846,0.42953038,0.42957976,0.41900322,0.40149724,0.3836923,0.3700614,0.3627087,0.3627154,0.36982808,0.3807422,0.39069808,0.3954676,0.39406666,0.3870364,0.37591973,0.36204135,0.34630394,0.32926226,0.31012073,0.288506,0.26338822,0.23534684,0.2064083,0.1811921,0.16347568,0.15224959,0.14152788,0.12603834,0.10811359,0.0981802,0.10662201,0.1357655,0.17606042,0.21352035,0.23685296,0.24416552,0.2397262,0.2304755,0.22147411,0.21608768,0.21560858,0.21866323,0.22100501,0.21859528,0.21155392,0.20472346,0.20106716,0.19798446,0.18888955,0.17471235,0.16630499,0.17779453,0.21108003,0.2516786,0.2792485,0.28278852,0.26753137,0.24523436,0.22379889,0.2009644,0.17164333,0.13430987,0.09797614,0.07769105,0.088967256,0.13193204,0.1894319,0.23137026,0.24090648,0.22305755,0.20246212,0.1986106,0.21591555,0.2442116,0.27079865,0.28662583,0.28798392,0.27683935,0.26077977,0.25285617,0.26847744,0.32107154,0.41154274,0.52164316,0.61401564,0.65358704,0.627137,0.5546267,0.47169456,0.40912184,0.37702486,0.368747,0.37098995,0.37279937,0.3690339,0.36044195,0.35240874,0.35260236,0.36348686,0.38012436,0.38988948,0.38521543,0.36699048,0.3455429,0.3288763,0.31963682,0.31468955,0.3108228,0.30716875,0.30694798,0.31756458,0.3479536,0.40239212,0.47527394,0.5525666,0.61814576,0.66004807,0.66894716,0.6398899,0.57360363,0.48711732,0.40925887,0.37350062,0.39298666,0.45421243,0.51724774,0.54548675,0.5230307,0.46613562,0.40454182,0.36467853,0.35320327,0.35925755,0.3639075,0.35557437,0.33595875,0.3156691,0.30258694,0.29670987,0.2934883,0.29025042,0.28877437,0.29117438,0.29697743,0.30212662,0.30596647,0.3150842,0.344964,0.40583768,0.49250373,0.57538193,0.620188,0.60553735,0.5422121,0.4599063,0.39036122,0.347584,0.3291333,0.32427585,0.32417786,0.32435152,0.32447457,0.3261043,0.33320487,0.3470241,0.364462,0.37510297,0.3704662,0.34969163,0.32385167,0.3063625,0.30546328,0.31828865,0.3356903,0.34603986,0.34328783,0.3305405,0.32399997,0.34335735,0.39976004,0.48461494,0.5758266,0.64826965,0.68401426,0.67316014,0.6175709,0.53230673,0.44665873,0.3927547,0.39335907,0.4455448,0.52007765,0.5708736,0.5645504,0.4980396,0.40357366,0.3234062,0.28646,0.29008138,0.3092934,0.316341,0.30151236,0.27442908,0.25142065,0.24147904,0.24452424,0.25575128,0.27011198,0.28102458,0.28273508,0.27218208,0.25409254,0.2401865,0.24931784,0.29801235,0.3887109,0.49788442,0.58508706,0.6167798,0.58965,0.52952045,0.4709606,0.43587604,0.42699388,0.43415213,0.44389966,0.44665757,0.43985572,0.42839053,0.42111087,0.42515504,0.43930337,0.4539291,0.45739686,0.44631025,0.42702433,0.41004086,0.4010035,0.3997759,0.40320146,0.4085673,0.41354287,0.41752085,0.42349818,0.43830514,0.46655878,0.50727516,0.55351114,0.5973029,0.62835056,0.63369155,0.6031935,0.54016966,0.4674797,0.41654077,0.41163197,0.4532862,0.5186289,0.5704343,0.57946765,0.53866965,0.46846214,0.40112853,0.36337864,0.36011624,0.3771049,0.39208364,0.39231443,0.37888193,0.3624026,0.35181406,0.35085115,0.35720453,0.365301,0.3678892,0.362269,0.35219297,0.3460549,0.34643236,0.34911498,0.34547272,0.33344802,0.31574568,0.2984971,0.28323576,0.26926962,0.25349542,0.23543608,0.21715276,0.20364648,0.1973839,0.19601788,0.19328749,0.18668623,0.17884485,0.17560323,0.1790182,0.18844895,0.20142615,0.21651588,0.23197882,0.24550314,0.25452614,0.2563273,0.25076836,0.23962791,0.22736229,0.21582818,0.20517778,0.19306774,0.18016213,0.16928947,0.16579504,0.17306072,0.19043946,0.2114951,0.2259922,0.22530232,0.20738047,0.17853527,0.1489435,0.1274389,0.11758553,0.11760745,0.12152243,0.12237933,0.1157935,0.10269029,0.088537514,0.080829985,0.08597165,0.10675291,0.14004129,0.1768112,0.20577253,0.21858466,0.21362655,0.19568889,0.17381299,0.1567695,0.14966433,0.15191017,0.1595735,0.16839856,0.17564546,0.17963396,0.17950611,0.17551957,0.16908698,0.1615734,0.15379946,0.1459385,0.13816774,0.13112733,0.1266313,0.12815529,0.13831301,0.15614037,0.17532916,0.18831418,0.19080041,0.18446682,0.17487228,0.16797501,0.1681732,0.17659307,0.19107234,0.20546834,0.21276663,0.20788686,0.1916892,0.17068326,0.15458761,0.15027641,0.15778218,0.16981255,0.1769011,0.1729626,0.15865977,0.14009891,0.12591663,0.12312897,0.13394277,0.15408094,0.17530562,0.190441,0.19720364,0.19776547,0.19517934,0.19118083,0.18633775,0.18174595,0.17898734,0.17878509,0.17971207,0.17903624,0.1751587,0.16903178,0.16331281,0.15982507,0.15867154,0.15838367,0.15709467,0.15250824,0.14312965,0.12930213,0.11408792,0.10202991,0.09769181,0.104218505,0.12227406,0.1491035,0.1797387,0.20928712,0.23516054,0.2554501,0.26776543,0.2687397,0.25754037,0.23677905,0.21236812,0.19032232,0.17541201,0.16997497,0.17328759,0.1813503,0.18750918,0.18654668,0.17778118,0.16754372,0.1639158,0.17116614,0.1840749,0.19258823,0.18802232,0.17013107,0.14538641,0.123700656,0.112567514,0.114757024,0.12692165,0.14302343,0.15810376,0.17140885,0.18421876,0.19741309,0.20916052,0.21648872,0.21635564,0.20828842,0.19474073,0.18083249,0.1711793,0.16728808,0.16679682,0.1646819,0.15632282,0.13963562,0.117652215,0.0972015,0.085895725,0.08689019,0.0974707,0.111262985,0.1230048,0.13119924,0.13749713,0.144129,0.1523534,0.16256334,0.17553186,0.19242339,0.21357103,0.23693305,0.2579262,0.27194133,0.27613065,0.27097002,0.25819468,0.24092758,0.22234307,0.20665853,0.19622725,0.19061054,0.18586324,0.1784467,0.16813831,0.15820414,0.15209861,0.14990914,0.1489832,0.14618333,0.14077486,0.13379242,0.12761827,0.1254549,0.13196386,0.15046091,0.17978412,0.21232837,0.23909122,0.2544243,0.2591112,0.25630724,0.24934466,0.23968524,0.22893853,0.21791399,0.20735146,0.19717777,0.18855435,0.1833602,0.1844774,0.19303529,0.20819628,0.22558741,0.24011254,0.24721871,0.24609311,0.23878962,0.229366,0.22134544,0.21646081,0.21422672,0.21271557,0.21051516,0.20780627,0.20609236,0.20607854,0.20675053,0.20592616,0.20244028,0.19662161,0.18996759,0.18356848,0.17790467,0.17268135,0.1674946,0.1621579,0.15723915,0.15392487,0.15327889,0.15551065,0.16064684,0.1704874,0.18870138,0.21722071,0.25131723,0.27996328,0.29313853,0.28951803,0.27722478,0.2658279,0.25905135,0.25283363,0.24122472,0.2223541,0.20160681,0.18858951,0.18948972,0.20129089,0.21245764,0.21403693,0.20634913,0.19803011,0.19395268,0.19200337,0.18676543,0.17861624,0.17271934,0.17359214,0.18011846,0.18765046,0.19246495,0.19451489,0.19583867,0.1976525,0.19825917,0.19552118,0.19033097,0.18783139,0.192887,0.20478545,0.21659274,0.22039549,0.21238549,0.1951627,0.1749456,0.15992028,0.15555264,0.1628524,0.17547935,0.18365006,0.17919314,0.16150415,0.13810048,0.12016549,0.11685809,0.13024794,0.1558161,0.18447466,0.20832945,0.22310059,0.22949189,0.23008965,0.22717874,0.22145168,0.21299507,0.20290893,0.19321907,0.18646418,0.18402433,0.18637885,0.1925798,0.2009871,0.20898394,0.21449085,0.21631396,0.21473019,0.2103103,0.20368408,0.19553898,0.18692012,0.17925268,0.17325163,0.1686576,0.1633144,0.15527408,0.1444095,0.13514364,0.13340443,0.14301635,0.16143991,0.18237257,0.19969064,0.21100722,0.21679258,0.21783262,0.21436624,0.20630984,0.19515014,0.18326823,0.17327566,0.16627555,0.16204566,0.15974168,0.15857546,0.15817218,0.15809692,0.15814441,0.1580264,0.15773751,0.1570605,0.15575224,0.15324496,0.14935087,0.14446302,0.13997233,0.13701244,0.13565129,0.13423286,0.13105936,0.12539361,0.11833081,0.11162024,0.10738968,0.107406735,0.112817205,0.12299812,0.1355608,0.1477658,0.15815324,0.16665764,0.17254953,0.17404807,0.16900124,0.15837507,0.14658864,0.14200418,0.15154532,0.17702861,0.21086387,0.24132009,0.25893453,0.26284817,0.2580073,0.25049323,0.24311809,0.23561187,0.22594784,0.21215278,0.19422638,0.17461155,0.15752088,0.1456935,0.13922352,0.13568951,0.13272549,0.12899718,0.124362655,0.11908395,0.11366308,0.10878054,0.105489396,0.10518837,0.109407075,0.11854475,0.13113098,0.14373462,0.1527525,0.15553802,0.15186699,0.14434995,0.139171,0.14332101,0.16072638,0.18778019,0.21595609,0.23671226,0.24754994,0.2504367,0.24843408,0.24284895,0.2340165,0.22367465,0.21328978,0.20411171,0.19496892,0.18543832,0.17529655,0.16621959,0.15977915,0.15722984,0.15809388,0.16060401,0.16285527,0.16405252,0.16485894,0.16615002,0.16812558,0.16985814,0.17011844,0.16827963,0.16481297,0.1614029,0.15994851,0.16201621,0.16739285,0.17424335,0.17929263,0.17985491,0.17532001,0.16758208,0.15990083,0.15487446,0.15361707,0.15506113,0.15635407,0.15404195,0.14666499,0.13643526,0.12779917,0.12375661,0.12343963,0.123159744,0.11996841,0.11397845,0.10819796,0.10595194,0.109390296,0.11976429,0.1388532,0.1674181,0.20234752,0.23539443,0.25806212,0.26670814,0.26404938,0.25486127,0.24311472,0.23232836,0.22667418,0.22985424,0.24087457,0.2535056,0.25737038,0.24587303,0.22052212,0.19427395,0.18192507,0.19222064,0.22044988,0.2559584,0.28819135,0.31322256,0.3304235,0.3404685,0.34212375,0.3337221,0.31479707,0.28956726,0.26467612,0.24645196,0.23532683,0.22807191,0.22058797,0.21524996,0.2238478,0.26384875,0.34437713,0.45115986,0.5475616,0.59532076,0.5797058,0.51823777,0.44558772,0.39165112,0.3664483,0.36292604,0.36690974,0.36913264,0.3680785,0.36964235,0.3794506,0.4002382,0.42517045,0.44381455,0.44401905,0.4244189,0.39144877,0.35855806,0.33449772,0.32296157,0.3221242,0.3290123,0.33982918,0.35215017,0.36737645,0.3930198,0.43684223,0.5009032,0.57618904,0.64778894,0.6982854,0.71261114,0.68276614,0.6144466,0.5315855,0.46597186,0.44512478,0.47397637,0.53495556,0.59090155,0.6089771,0.5753792,0.50746137,0.43833736,0.3989366,0.39715502,0.41853514,0.4367806,0.43521336,0.41466343,0.39019117,0.37524894,0.37393975,0.38150382,0.3911741,0.39799634,0.39876726,0.3923578,0.380478,0.3701528,0.37263656,0.39945135,0.45302093,0.5205495,0.5755744,0.5937052,0.5676345,0.51272714,0.45364544,0.4091302,0.38381603,0.37304673,0.37052557,0.37164178,0.37357795,0.37452647,0.3757298,0.3817922,0.39563492,0.41329244,0.42238846,0.41341904,0.38730207,0.3570666,0.335479,0.32762054,0.3291959,0.33344293,0.33589628,0.33781716,0.3449882,0.36517093,0.4010513,0.4496243,0.50425863,0.5601113,0.6111371,0.64441586,0.64430815,0.60203105,0.53063613,0.45833686,0.4194367,0.43061957,0.4843712,0.54652303,0.57964665,0.56326765,0.50843257,0.44479522,0.40087947,0.3865737,0.39319506,0.40449572,0.40901434,0.4060447,0.39973605,0.39381889,0.38683686,0.37762618,0.3663595,0.35664418,0.35042134,0.34793702,0.3472967,0.34995887,0.36197492,0.39426073,0.45186862,0.5271983,0.59515667,0.62937707,0.61619323,0.56715167,0.5068363,0.45894346,0.43177083,0.42068365,0.41530785,0.40873083,0.39980206,0.39145073,0.38782406,0.39216292,0.4042736,0.4182154,0.42278948,0.40963137,0.38025376,0.34871352,0.33113632,0.33655986,0.35983503,0.38672158,0.40047312,0.3937025,0.37308827,0.35904816,0.37124684,0.41746068,0.48776472,0.56341296,0.62417096,0.6530664,0.6398229,0.5848958,0.50576264,0.43017015,0.3885356,0.396103,0.44749764,0.5122454,0.55211157,0.53893596,0.47467092,0.3878959,0.31797603,0.28892186,0.29767266,0.31817913,0.32422158,0.3060111,0.27416036,0.24587546,0.233534,0.24025933,0.26124877,0.2865205,0.30251884,0.30037317,0.27978835,0.25278065,0.23795938,0.25656772,0.3193965,0.41655278,0.5136368,0.5709036,0.5689689,0.52101684,0.46025074,0.41472352,0.39507988,0.39435568,0.40034875,0.40193963,0.39553466,0.38368344,0.3740759,0.37442514,0.38872364,0.41344318,0.43885925,0.45438123,0.45624885,0.44861016,0.43920302,0.4326568,0.4294385,0.42794856,0.42573008,0.42090544,0.4127779,0.40674248,0.4107728,0.4328436,0.47207662,0.52170455,0.56846637,0.5990297,0.60048366,0.56830835,0.5102195,0.44883004,0.41293612,0.42449346,0.4825727,0.5610401,0.6189282,0.6268452,0.5819743,0.5102102,0.44533455,0.4106427,0.40607628,0.41445556,0.4153686,0.4003363,0.37544572,0.35391143,0.34542653,0.3521233,0.3691779,0.38845873,0.40171447,0.40528855,0.4010657,0.395574,0.3963201,0.41152573,0.44692573,0.5001753,0.5560584,0.59201866,0.59298724,0.5609701,0.51274186,0.4668734,0.4350461,0.41921866,0.41493037,0.41524056,0.41511598,0.41413394,0.41551223,0.4228967,0.43716216,0.45513308,0.47076797,0.47724006,0.4715155,0.45563892,0.43630508,0.41965947,0.40933958,0.40524408,0.40554044,0.40712586,0.40943778,0.4165269,0.43817863,0.48062167,0.54094785,0.60325766,0.64988905,0.66648394,0.6482553,0.59702986,0.5238448,0.44915667,0.3990043,0.39564064,0.44123325,0.5143145,0.57434106,0.58877295,0.54872483,0.47740754,0.40987706,0.37565646,0.3803855,0.4094502,0.4370562,0.4460943,0.4345744,0.41457555,0.3976463,0.38856074,0.38439754,0.38200828,0.38052592,0.38073125,0.38219097,0.38444844,0.3902829,0.4082334,0.44733986,0.50737315,0.5712027,0.61072546,0.6042804,0.55147517,0.47395948,0.40008187,0.3499798,0.32785642,0.32665467,0.3345709,0.34194675,0.343358,0.34008107,0.33839962,0.34721056,0.3686775,0.39553514,0.41258872,0.4109099,0.393013,0.37165114,0.35652772,0.3492558,0.3445934,0.33828732,0.3304452,0.3263882,0.333944,0.36208582,0.41396353,0.48577368,0.564369,0.6354987,0.6832974,0.6942244,0.6587785,0.5815654,0.48619422,0.40801704,0.3795193,0.41006836,0.4819336,0.553359,0.5851617,0.55849797,0.48928583,0.41197523,0.36148176,0.34987724,0.36568776,0.3825293,0.3812243,0.35966885,0.33201572,0.31319007,0.3096633,0.3172258,0.32838306,0.33720073,0.3423036,0.34512997,0.34906182,0.358469,0.37928876,0.41762912,0.47305918,0.534151,0.5784023,0.58722836,0.5559635,0.49915096,0.43756285,0.38857937,0.35857788,0.34591487,0.34450677,0.34766424,0.3506024,0.35185185,0.3539501,0.36207244,0.37811804,0.3974544,0.40841186,0.4030007,0.3813146,0.35203162,0.32301933,0.29914144,0.28292724,0.276474,0.27958,0.28963292,0.30608174,0.33410892,0.380994,0.44843888,0.52715254,0.5996147,0.64564687,0.648968,0.6044759,0.52244765,0.43046615,0.36213574,0.3467411,0.38991368,0.47116232,0.54529834,0.5718785,0.5352121,0.45825028,0.38151106,0.33968493,0.3392687,0.36151814,0.37641466,0.36520526,0.32936242,0.2864485,0.25341192,0.23667522,0.23220219,0.23312886,0.23504685,0.23588695,0.23515372,0.2331418,0.23470914,0.24913104,0.28917906,0.35845163,0.4460249,0.52375394,0.5657401,0.5597267,0.516984,0.45884916,0.40728524,0.37316874,0.3579196,0.35575387,0.3598871,0.36526838,0.37085924,0.3790553,0.39437234,0.41781518,0.4440885,0.4618319,0.4631265,0.4484822,0.42713547,0.40814054,0.39587495,0.38916656,0.3851094,0.3809558,0.3766111,0.37522686,0.38388252,0.4084479,0.45135614,0.5088239,0.57298017,0.6301295,0.66212696,0.653919,0.6041688,0.5317343,0.46648964,0.4366952,0.4530178,0.50459045,0.5604029,0.587239,0.56690544,0.5087632,0.4410543,0.39372167,0.38028598,0.3936415,0.41357747,0.42220247,0.4139736,0.39583376,0.3781213,0.36681697,0.3618215,0.36039296,0.36048982,0.36193243,0.36524725,0.37097892,0.3800465,0.39587402,0.42476606,0.47003737,0.5254064,0.57149225,0.587399,0.5633506,0.5096319,0.44776085,0.39721587,0.36504638,0.34676766,0.3347437,0.32506272,0.32026044,0.32462886,0.33993554,0.36360192,0.38970706,0.41143218,0.4203782,0.41212055,0.3878143,0.3581246,0.33421144,0.3232293,0.3225625,0.32579982,0.32641533,0.32427624,0.3249304,0.33853897,0.37149003,0.42404565,0.48825288,0.554764,0.6110468,0.64333993,0.6370034,0.58853316,0.5113126,0.4350452,0.39187458,0.40142632,0.45785,0.52986246,0.57541305,0.5667806,0.50697565,0.4265401,0.36268392,0.33729193,0.34685668,0.3690988,0.38081884,0.37334034,0.35467497,0.3383006,0.33080027,0.32970092,0.32948628,0.32815626,0.32698056,0.3278072,0.33066952,0.336405,0.34863487,0.37562335,0.42323592,0.4885222,0.5527596,0.59109473,0.5858066,0.540594,0.47649238,0.41835853,0.3801085,0.36133564,0.3538785,0.3497834,0.34495556,0.3391949,0.33507785,0.33819702,0.35254863,0.37573692,0.3961463,0.40083686,0.38569006,0.35900036,0.3343642,0.32020104,0.3166044,0.3182441,0.32002,0.3205963,0.32405308,0.339754,0.3761851,0.43466687,0.5052183,0.5723431,0.6214457,0.6422236,0.6283188,0.5794697,0.5072547,0.43615606,0.39558557,0.40413228,0.45585966,0.5199905,0.55646724,0.5413836,0.48044768,0.40480503,0.34826672,0.3294357,0.34174708,0.36280063,0.36833882,0.34988973,0.316486,0.28694153,0.27456656,0.2816877,0.3008376,0.3213133,0.3340738,0.33496955,0.32517576,0.3111246,0.3038341,0.31887528,0.36691973,0.44365057,0.52306634,0.572892,0.5741019,0.5334285,0.4735954,0.41683722,0.37442413,0.3473321,0.33253297,0.32635483,0.3256378,0.3274039,0.3309748,0.33940092,0.3567809,0.38176438,0.4038248,0.40930083,0.39177096,0.35769615,0.3207675,0.29308257,0.27952304,0.27852216,0.28451535,0.29169384,0.29861054,0.31096348,0.33927605,0.390004,0.4600886,0.53560877,0.59924173,0.6339364,0.6300146,0.5874989,0.52106684,0.4549317,0.41542983,0.41782567,0.45901713,0.51533294,0.5536885,0.54910105,0.49969193,0.42733768,0.36368847,0.33277524,0.33803245,0.36353818,0.38511956,0.38755333,0.37108746,0.34658548,0.3232887,0.30464694,0.29082415,0.28306293,0.28223777,0.28648484,0.29131088,0.29432285,0.29908556,0.3160586,0.35618448,0.42088795,0.49396738,0.54694957,0.5570504,0.5236868,0.4689274,0.41961527,0.39090136,0.38108423,0.38101196,0.38244295,0.38177326,0.37866953,0.37604,0.3797417,0.3946066,0.41677317,0.43201873,0.4242846,0.39031395,0.3432258,0.30271682,0.2801231,0.2737348,0.27549824,0.2794735,0.2854196,0.29742837,0.32193255,0.36520883,0.42769504,0.5016704,0.57250875,0.6263432,0.6524921,0.6435487,0.596942,0.5202056,0.43628886,0.37573788,0.36398444,0.4035941,0.4723487,0.5310902,0.5474947,0.51135385,0.44147897,0.37135792,0.3324642,0.33458254,0.3643737,0.3937491,0.40277353,0.38899526,0.3665104,0.3497955,0.34632364,0.35506585,0.37144566,0.38925788,0.4019637,0.40542802,0.40004662,0.39055195,0.38198498,0.37662807,0.3727254,0.36720204,0.3580605,0.34659138,0.33493447,0.3240919,0.3124189,0.29899243,0.28563932,0.27583358,0.27044263,0.265931,0.25854144,0.24837108,0.24028015,0.23844689,0.24337967,0.25138196,0.2583304,0.2613604,0.25993833,0.25487378,0.24778713,0.2401318,0.23289494,0.2265541,0.2209723,0.21563627,0.20952743,0.20234393,0.19448207,0.18782653,0.18402547,0.18429677,0.18793476,0.19347496,0.19837962,0.20018665,0.19635986,0.18585336,0.16971524,0.15132843,0.13508661,0.12457743,0.12105563,0.122426964,0.12424161,0.12208798,0.11457905,0.104589246,0.09813074,0.10180459,0.11905629,0.14761373,0.17894326,0.20243198,0.21044903,0.20212515,0.18210661,0.15795352,0.13665305,0.123037845,0.11817908,0.12021168,0.12593777,0.13328017,0.14151198,0.15022802,0.1581267,0.16311038,0.16357392,0.1594163,0.15229355,0.14443189,0.13744475,0.13201624,0.12887745,0.12966096,0.13594683,0.1476574,0.16212319,0.17592578,0.18691212,0.1955312,0.20343886,0.2120285,0.22095884,0.22873908,0.23334259,0.23355854,0.22881441,0.21947505,0.20631282,0.19171548,0.17940366,0.17391568,0.17728621,0.18730728,0.19741167,0.19979417,0.18963443,0.16806798,0.1431148,0.12518154,0.121489264,0.13106793,0.14705288,0.16164853,0.17102627,0.17514378,0.17567162,0.1740584,0.1714061,0.16873057,0.16706371,0.16698408,0.16815035,0.16906197,0.1679349,0.16403858,0.15850264,0.15339242,0.15008408,0.14844404,0.14741062,0.14597012,0.14351003,0.13984843,0.13525212,0.1306522,0.12755728,0.12784792,0.13324654,0.14454673,0.16092964,0.18035306,0.20076407,0.22110932,0.24046326,0.2569464,0.26719213,0.26826927,0.25901893,0.24146545,0.21982932,0.19979282,0.18569201,0.17918555,0.17820491,0.17903632,0.1786419,0.17719358,0.178258,0.18608986,0.201715,0.22026251,0.2333024,0.23283495,0.21621479,0.18737711,0.15673055,0.13551505,0.13004385,0.13687365,0.14754647,0.15522593,0.16025858,0.16640134,0.17613733,0.18729194,0.19526486,0.1960621,0.18882199,0.17684698,0.16599339,0.16181755,0.16515924,0.17150658,0.1726293,0.16217981,0.13933058,0.11092991,0.087958075,0.0797017,0.08800549,0.10665058,0.12621856,0.13946873,0.14448158,0.14317304,0.13931687,0.13641953,0.13697667,0.14201742,0.15106148,0.16238506,0.1735493,0.18214168,0.18673922,0.18701766,0.18371439,0.17814763,0.17241819,0.16901691,0.16939576,0.17294519,0.17674716,0.17813013,0.17567788,0.1701849,0.16253589,0.15340815,0.14250714,0.12999484,0.11661167,0.104009174,0.09349659,0.08551108,0.079821706,0.07713813,0.080214284,0.09197828,0.11279368,0.13808279,0.16148926,0.17780755,0.18604578,0.18714255,0.1831677,0.17580517,0.16718082,0.15882576,0.15159793,0.14579754,0.1419385,0.14105475,0.1439476,0.15141027,0.16312169,0.17806713,0.1934427,0.2068696,0.21638633,0.2217092,0.2224104,0.21891351,0.21231246,0.2052327,0.19976477,0.19670738,0.19499172,0.19336139,0.1908216,0.18726654,0.1827858,0.1777506,0.17207213,0.16555628,0.15793507,0.14969988,0.14159536,0.13429998,0.12766966,0.12134872,0.11521215,0.110287525,0.10814291,0.110439986,0.11788556,0.1310305,0.15032816,0.17558943,0.2038631,0.22920565,0.24529608,0.24908395,0.24236804,0.23004515,0.2174824,0.2082362,0.20314936,0.20073801,0.1994902,0.20058654,0.20687503,0.2189352,0.23072563,0.23399843,0.22473723,0.20841229,0.1932491,0.18374403,0.17714131,0.16977406,0.16110249,0.15475911,0.15340848,0.15630056,0.15884264,0.15727249,0.15185712,0.14709496,0.14715202,0.15177627,0.15780628,0.16360967,0.17117552,0.18224949,0.19369346,0.19914867,0.19379,0.17908756,0.16025098,0.14369841,0.13360973,0.1317416,0.13571468,0.13969387,0.13716151,0.1254809,0.10810802,0.092367105,0.08590939,0.09267364,0.11188749,0.13773791,0.16307311,0.1827086,0.19614899,0.20553626,0.21243416,0.21564221,0.212577,0.20222883,0.18697995,0.17157722,0.16066004,0.15691325,0.1603514,0.16870137,0.17744736,0.18223262,0.18044275,0.1734453,0.1643881,0.15666544,0.15165168,0.14980751,0.15099071,0.15475734,0.15930909,0.1614524,0.15765125,0.14649954,0.1307222,0.11739612,0.113979846,0.12349236,0.14144345,0.15957181,0.17153992,0.17738988,0.18151045,0.18787219,0.19578801,0.2004735,0.19721447,0.18572347,0.17034103,0.15646912,0.14659895,0.13992204,0.13452502,0.1297121,0.12605597,0.124383025,0.12471807,0.12660201,0.12951832,0.13336112,0.13784438,0.14227428,0.1457197,0.14780663,0.14893723,0.14964195,0.14985295,0.14877762,0.14565532,0.14037275,0.13385944,0.12768577,0.123592354,0.12257117,0.12493545,0.13073623,0.14046876,0.15437661,0.17096734,0.186516,0.19613348,0.19674794,0.18802339,0.17278351,0.1549321,0.13998733,0.13349198,0.13999408,0.15877178,0.18388939,0.2066952,0.22154866,0.22751774,0.22682856,0.22146244,0.21231465,0.20005076,0.18621267,0.17226936,0.15884924,0.14532107,0.1313001,0.116934694,0.1034287,0.09186842,0.083417445,0.078114346,0.07572184,0.075402506,0.07752981,0.08312882,0.094049655,0.11057385,0.1306264,0.14931966,0.161734,0.16515428,0.1604268,0.15039472,0.13963081,0.13326056,0.13687404,0.1524939,0.17799246,0.20686503,0.23294865,0.2512597,0.25880933,0.25325277,0.23532617,0.20957132,0.18390284,0.16437602,0.15343322,0.14940529,0.1502229,0.15329808,0.15635361,0.15677924,0.15375884,0.14821738,0.14229558,0.13746649,0.13409705,0.13196951,0.1309276,0.13122147,0.13265783,0.13438745,0.13480256,0.13291317,0.12898694,0.12446617,0.120370336,0.11647558,0.11176914,0.10593543,0.0996838,0.093916945,0.08881474,0.08410505,0.07982567,0.07638943,0.074052565,0.07251954,0.07132104,0.070290506,0.06972877,0.07003864,0.07136627,0.073347546,0.07524008,0.07611982,0.0751913,0.07214105,0.06729129,0.06165698,0.0563149,0.052088853,0.04917775,0.047639865,0.047817975,0.05086026,0.05868433,0.07305443,0.09464803,0.1222375,0.15321119,0.18354087,0.20828676,0.22266512,0.22540863,0.22079231,0.21687353,0.21971601,0.2287649,0.23690522,0.23490949,0.21836096,0.19210817,0.1700371,0.16529764,0.18184476,0.21074444,0.24040855,0.26323232,0.27932286,0.28973854,0.29537907,0.29569116,0.29126272,0.28206822,0.2693335,0.2554643,0.24538524,0.24075514,0.2384708,0.2307141,0.2172669,0.21155433,0.24051185,0.32047826,0.44092295,0.5596865,0.6345198,0.64599234,0.6087141,0.550108,0.49424782,0.4518162,0.42455515,0.4097843,0.40398037,0.40439212,0.41035783,0.42235744,0.44141707,0.46419838,0.48404524,0.49119532,0.4818929,0.45938012,0.4340916,0.41467083,0.4045863,0.40081862,0.39844954,0.3939109,0.38833395,0.3870422,0.39912605,0.4304835,0.48181573,0.5443639,0.6067033,0.6549526,0.6776177,0.66532797,0.6180164,0.549963,0.48878583,0.46426427,0.48949432,0.55107385,0.61257654,0.63715655,0.60797125,0.5390048,0.462785,0.41190532,0.3980581,0.41004336,0.42163804,0.4138714,0.3843507,0.3480926,0.32173505,0.31459346,0.32424238,0.3418838,0.35708728,0.3628279,0.35858226,0.35041025,0.3489593,0.3650749,0.4080963,0.47887978,0.56570524,0.64073724,0.6747827,0.65294075,0.5868792,0.5047646,0.4347539,0.39106795,0.37303975,0.37174687,0.37677658,0.38086376,0.38135266,0.38049194,0.3832835,0.3925251,0.4045165,0.40940392,0.399063,0.3742553,0.34445307,0.3196678,0.3036032,0.29411748,0.28793183,0.28410175,0.285208,0.29626608,0.32436243,0.37210593,0.43678042,0.5080001,0.5767381,0.63283557,0.66637343,0.66353506,0.6179662,0.5395792,0.45795205,0.40987575,0.4183507,0.47860727,0.5560229,0.60660076,0.6002554,0.54018533,0.45723808,0.3902973,0.36071947,0.3632101,0.3744614,0.3745854,0.3596764,0.339444,0.32339934,0.31285122,0.30370685,0.29364893,0.2855235,0.28289786,0.28680816,0.29396915,0.30331168,0.31889966,0.35366872,0.4166678,0.503947,0.58760494,0.63361955,0.6206307,0.55941635,0.48091304,0.41657707,0.37931,0.36527047,0.36369553,0.3667351,0.36988434,0.37140036,0.3711175,0.37295315,0.3806026,0.39283684,0.39967278,0.39079905,0.36522534,0.33495808,0.31495675,0.31237635,0.32233852,0.33389425,0.33657944,0.32772422,0.31460002,0.31432703,0.3422431,0.4026489,0.48379275,0.566758,0.63280684,0.66671276,0.6583931,0.6067848,0.52732235,0.44879195,0.4049053,0.4162707,0.47883788,0.55996895,0.61406416,0.6076041,0.5403382,0.44528952,0.36702427,0.33335754,0.339636,0.3564966,0.3543366,0.32387206,0.27866665,0.23979099,0.22076549,0.22274594,0.23919445,0.2610401,0.27917758,0.2873039,0.2839582,0.27548268,0.27434936,0.29868078,0.3602524,0.4551561,0.55454344,0.6223615,0.6356389,0.60162765,0.54601985,0.49481693,0.46007404,0.44134176,0.43253645,0.42754307,0.4226357,0.41711828,0.41337386,0.4151597,0.42427793,0.43746707,0.44708368,0.44618607,0.43384948,0.415318,0.3974862,0.38448533,0.3773968,0.3753191,0.376286,0.37865183,0.38449857,0.40178874,0.43870118,0.49454924,0.5562133,0.6060435,0.63407606,0.6382323,0.6199607,0.5774102,0.5156954,0.45139208,0.4132857,0.42194116,0.47622344,0.5466613,0.5942598,0.59111047,0.5392125,0.46602166,0.40735725,0.38403198,0.39148188,0.40736726,0.41033375,0.39483503,0.36990616,0.34841475,0.33693662,0.335907,0.3424593,0.35328272,0.36334947,0.3682283,0.36605677,0.36190593,0.36581174,0.39156318,0.44558656,0.521622,0.59484637,0.63737506,0.6318283,0.58504003,0.518977,0.45887768,0.41953287,0.40306616,0.40138516,0.40371308,0.40365067,0.4020712,0.4039527,0.41320267,0.42932102,0.4478213,0.46138713,0.4640645,0.4546239,0.43847957,0.42327735,0.41368973,0.40938643,0.4074113,0.40611556,0.40651813,0.4128796,0.43090853,0.46418485,0.51022667,0.56071883,0.60624623,0.63970655,0.6543496,0.6426452,0.6007065,0.536369,0.47160587,0.43352938,0.4415245,0.49201056,0.5586908,0.60200804,0.5955901,0.53902006,0.45958844,0.39159277,0.35942683,0.3652244,0.39207315,0.416087,0.42073634,0.40548933,0.3805816,0.35879406,0.34667346,0.34534577,0.35118088,0.35921088,0.36370918,0.3613011,0.35317802,0.3466649,0.35394493,0.38576862,0.44170737,0.50436383,0.5447635,0.54215884,0.49690092,0.43259752,0.3763905,0.3463508,0.34264353,0.35657582,0.37657452,0.395823,0.41201493,0.42716894,0.4444579,0.46521655,0.48563632,0.497751,0.49410293,0.47388014,0.44304338,0.41089857,0.38457748,0.36845443,0.3634977,0.36834896,0.37959775,0.39559022,0.41830024,0.45120487,0.49298444,0.53762037,0.57857776,0.6138143,0.6385238,0.6419182,0.61133766,0.54867357,0.47638154,0.4278774,0.42778912,0.4754401,0.544974,0.59749997,0.60449344,0.5617414,0.49121416,0.42459247,0.38547537,0.37704155,0.3852693,0.39106688,0.38436213,0.36750057,0.3497429,0.33761904,0.33203253,0.32990715,0.32827857,0.32572213,0.32285026,0.3214851,0.32485318,0.33774474,0.36715773,0.4183279,0.48707578,0.55558735,0.59817415,0.5986349,0.55951625,0.5013384,0.4458867,0.407504,0.38840297,0.38491607,0.3896552,0.39558187,0.39765868,0.39607987,0.39556798,0.4018449,0.4158251,0.43124497,0.4374626,0.42651,0.397957,0.35923925,0.3214249,0.29488406,0.2847302,0.2890413,0.301137,0.3176285,0.34390175,0.3896502,0.45720562,0.535579,0.60732764,0.65787125,0.67796105,0.66054726,0.60472965,0.5228885,0.4438559,0.40001786,0.41099024,0.46805263,0.53828526,0.5798498,0.5699191,0.5148238,0.4456644,0.39339128,0.37421966,0.38200232,0.39824176,0.4027454,0.3875424,0.35879573,0.3308694,0.31350848,0.30737808,0.30691126,0.3070835,0.30510855,0.30015078,0.2924297,0.28623044,0.29006097,0.31644073,0.37273613,0.45364818,0.53594965,0.59003794,0.59707236,0.56141067,0.50509316,0.45229816,0.41680738,0.40037623,0.3973082,0.39996222,0.40149608,0.39866945,0.39314818,0.39031255,0.39482775,0.40536627,0.41478482,0.41500023,0.4044374,0.3885634,0.37534967,0.36863258,0.36769164,0.36996946,0.3739132,0.37957814,0.38922992,0.40797603,0.4408023,0.48679924,0.53836656,0.58526164,0.62142044,0.64104205,0.6368045,0.601837,0.54119176,0.4761258,0.4349579,0.43830016,0.48324814,0.5456409,0.5893825,0.5914492,0.5513502,0.49225304,0.4404684,0.41332087,0.40941307,0.41648743,0.41852847,0.4082999,0.38779035,0.36620203,0.35076952,0.34462395,0.34597507,0.35112917,0.35612276,0.35871908,0.35939685,0.36147654,0.37108573,0.39675832,0.44548878,0.51437974,0.5856522,0.6318216,0.63444275,0.5953159,0.5367229,0.48228133,0.44569924,0.42532206,0.41411456,0.4056917,0.39889145,0.39478812,0.39543977,0.40191224,0.4150302,0.43126926,0.44388124,0.44349596,0.42847398,0.40440133,0.38319334,0.37253705,0.3750181,0.3871397,0.4017805,0.41077268,0.41045263,0.40835837,0.4194592,0.45371,0.5063228,0.5613317,0.6047222,0.62874746,0.62790316,0.59727216,0.5383569,0.46916196,0.41736493,0.4093937,0.44897977,0.5152219,0.5673895,0.57290876,0.52344596,0.44272038,0.36639318,0.32437763,0.32303116,0.34924495,0.37798485,0.39183617,0.38642874,0.3720943,0.3603563,0.35816193,0.36342415,0.3702934,0.37260154,0.36801517,0.35823646,0.34799728,0.3443835,0.35614336,0.39263222,0.4545993,0.52869725,0.5863597,0.603112,0.572676,0.51492244,0.4581548,0.4238464,0.4148222,0.4218142,0.43130204,0.4341409,0.42719385,0.4139178,0.40146616,0.39767063,0.40392736,0.41428342,0.41722175,0.4073093,0.38710868,0.36662456,0.3522601,0.34581372,0.34361735,0.34248236,0.3404007,0.34087312,0.3519707,0.3837706,0.43836674,0.5071755,0.57418495,0.6254812,0.65149015,0.64486796,0.6020398,0.52816874,0.44483224,0.38231766,0.3693889,0.410733,0.4842918,0.5452431,0.5587516,0.516066,0.44318056,0.37599972,0.3428899,0.346783,0.37101197,0.38915208,0.38540184,0.36112246,0.33175516,0.31097814,0.30352968,0.3047566,0.30836734,0.30942175,0.3071618,0.30157617,0.2954612,0.29316786,0.30730686,0.3509679,0.42870677,0.5210926,0.59339947,0.615958,0.5855457,0.5242543,0.4606758,0.413365,0.38526666,0.3716141,0.3660042,0.36431304,0.36351827,0.36248112,0.36279586,0.36892045,0.3820502,0.39657167,0.40044597,0.38705754,0.35950205,0.3300132,0.30875686,0.30052686,0.30320755,0.31139165,0.31855917,0.32393825,0.33584425,0.3689438,0.43011484,0.5121499,0.59527177,0.66095996,0.6953755,0.6911144,0.6469217,0.57320946,0.4945649,0.44049284,0.4344584,0.4766519,0.5440207,0.59529066,0.59938747,0.5503171,0.47365823,0.40432107,0.36811695,0.3671645,0.38513938,0.39911592,0.3954183,0.37507236,0.34878123,0.32667512,0.3128928,0.30735278,0.30791414,0.31137836,0.31399342,0.31332338,0.31150475,0.31424156,0.3313367,0.37122214,0.43551025,0.51065063,0.57077867,0.5922599,0.5691957,0.5173611,0.46022454,0.415367,0.38699937,0.37120926,0.36169183,0.3550082,0.35066402,0.35050932,0.35659102,0.37086952,0.39165124,0.41261926,0.42257476,0.4144312,0.39012697,0.36138234,0.34003314,0.3315357,0.33320412,0.3387147,0.34301046,0.34714308,0.35876623,0.3888345,0.43993294,0.50320965,0.56089234,0.60034925,0.615781,0.6050375,0.565774,0.50082594,0.428026,0.3753538,0.3706553,0.41893736,0.49905363,0.56759113,0.58884484,0.5512382,0.47667834,0.40017268,0.35290393,0.3426979,0.35641155,0.36783025,0.3600849,0.33281624,0.30076453,0.27686897,0.26657215,0.26750207,0.275606,0.2863864,0.29605103,0.30314562,0.30906862,0.3163234,0.32522944,0.33372018,0.33813486,0.33597484,0.32725146,0.3158863,0.30745268,0.30541718,0.3087032,0.3127973,0.31324294,0.30723348,0.29459202,0.27898502,0.2663854,0.2625426,0.26662013,0.27457675,0.2804755,0.28333607,0.2827901,0.2801516,0.27451667,0.2653376,0.25183135,0.23505169,0.21801953,0.20393907,0.1945522,0.18861127,0.18433309,0.1798179,0.17499669,0.17085154,0.17086901,0.177531,0.19017367,0.20233579,0.20803611,0.20625007,0.2035107,0.20622188,0.21517296,0.22383867,0.22514993,0.21767975,0.20659196,0.19916016,0.19883104,0.2045208,0.21222194,0.21921186,0.2246416,0.22968589,0.2345839,0.23800671,0.23727001,0.2307266,0.21957673,0.2072934,0.19943297,0.19949077,0.20842327,0.22053386,0.2281966,0.22356035,0.20768346,0.19005243,0.18674295,0.20730413,0.24803138,0.29175642,0.3203509,0.32501903,0.31015435,0.28727594,0.26812962,0.2587963,0.25903964,0.2631649,0.26478836,0.2592679,0.24621274,0.2273363,0.20579366,0.18387961,0.16329552,0.1447321,0.12890235,0.11695534,0.10986301,0.107512765,0.107625745,0.10710091,0.10304431,0.09458792,0.08266399,0.06982548,0.058638643,0.050713997,0.046024423,0.043585386,0.04231092,0.041634206,0.041366752,0.04138015,0.041432947,0.041306626,0.040940132,0.040420387,0.03983496,0.039195362,0.03846361,0.037664372,0.036908533,0.036366563,0.0361457,0.036270197,0.036654573,0.037187412,0.037831355,0.03920314,0.043316294,0.053847272,0.074317984,0.105275154,0.14248359,0.17867659,0.20721246,0.22452867,0.23098208,0.22952133,0.22575869,0.22535785,0.23290378,0.2486418,0.26831174,0.28413913,0.28920746,0.2828482,0.27027646,0.257908,0.24706309,0.23613417,0.22662674,0.22448415,0.23559181,0.2578172,0.28310153,0.30089936,0.306119,0.29913235,0.28526697,0.27014363,0.25750878,0.2485342,0.24274637,0.23939304,0.23821849,0.23921545,0.24154375,0.24270105,0.24110304,0.23895699,0.24200256,0.25303492,0.2671348,0.27490616,0.27319884,0.26956156,0.2749717,0.29094684,0.30752066,0.31203878,0.29986522,0.2758461,0.25010103,0.23311877,0.23117335,0.24315007,0.2596314,0.2698835,0.26805642,0.25653487,0.24078245,0.22542857,0.21248306,0.20302701,0.19812752,0.19740391,0.1987025,0.19777048,0.19094263,0.17695431,0.15935113,0.14590056,0.14318098,0.15152092,0.16271977,0.16812386,0.16335763,0.15157308,0.13807364,0.12964839,0.13178492,0.14705317,0.17119808,0.19499095,0.2104369,0.21605702,0.21653591,0.2176897,0.2237318,0.23568402,0.2522728,0.2691613,0.28220558,0.28957143,0.293223,0.29529676,0.2961786,0.2954091,0.29398942,0.2933345,0.29193476,0.28558123,0.27158323,0.25277632,0.23520677,0.22387953,0.22028194,0.22519338,0.23984118,0.26443073,0.2943975,0.32055756,0.3331993,0.32792565,0.30815005,0.28265727,0.25913218,0.2402841,0.22507232,0.21444865,0.21184723,0.219653,0.23466678,0.2518247,0.2688856,0.2873641,0.30598614,0.31672636,0.3079091,0.2747897,0.22615795,0.18248247,0.16230644,0.17166005,0.20002477,0.23045595,0.24764602,0.2453128,0.2241435,0.1925885,0.16286926,0.1481991,0.15532175,0.18171273,0.21672367,0.2482285,0.26911613,0.2795131,0.284863,0.2904342,0.29865238,0.30872083,0.31973946,0.3312346,0.34162092,0.346392,0.33999148,0.32030475,0.29067734,0.25786126,0.22748677,0.20194869,0.18094932,0.16375452,0.14993298,0.13927883,0.13100883,0.124219924,0.1182985,0.11322451,0.10906526,0.10563802,0.10256515,0.09955361,0.0966149,0.094024,0.09216709,0.09119492,0.09083765,0.09043199,0.08940598,0.087538876,0.08508324,0.082423694,0.07993861,0.077838905,0.076171815,0.0748547,0.073718734,0.07264552,0.07140563,0.069687165,0.06716812,0.06396424,0.060669214,0.057999346,0.05619933,0.05495854,0.05380905,0.05256333,0.051311,0.050176647,0.049158614,0.048209686,0.04731315,0.046508048,0.046245243,0.04855347,0.057969127,0.080447175,0.11779344,0.16348548,0.20291148,0.22469522,0.2279657,0.22417389,0.22459024,0.23437965,0.25078157,0.2704209,0.29052904,0.3084713,0.32051852,0.3233883,0.3161703,0.29941034,0.2759657,0.25056198,0.23028253,0.21884693,0.21484177,0.21266817,0.21040136,0.21052808,0.21627606,0.22564113,0.23362549,0.23698957,0.23624492,0.23261285,0.2257181,0.21508384,0.20238312,0.19135876,0.1859659,0.18791537,0.19631676,0.20698607,0.21537052,0.21829367,0.21668182,0.21347594,0.21162556,0.2117905,0.21306784,0.21492617,0.21786565,0.22313881,0.23001017,0.23593938,0.23686749,0.2307301,0.21778046,0.20113295,0.18391173,0.16850011,0.15509808,0.14347726,0.13356322,0.12688072,0.12462904,0.12644942,0.1287515,0.12705328,0.118495025,0.104103595,0.087993674,0.07548378,0.072089486,0.081478424,0.10382271,0.1331379,0.16014725,0.17688747,0.18201031,0.18007268,0.17794125,0.18017067,0.18745898,0.19702852,0.20538498,0.20967762,0.20926909,0.20395975,0.19475083,0.18247296,0.16942905,0.15730281,0.14761035,0.13998169,0.13337743,0.12585361,0.11605942,0.10370254,0.09029158,0.07825493,0.06962811,0.06490459,0.06307712,0.0626133,0.06222251,0.06123078,0.05933592,0.056602363,0.05336296,0.050159406,0.047437236,0.04533313,0.04371221,0.042372596,0.04122426,0.040263385,0.039494425,0.038880598,0.038381457,0.037959423,0.037580688,0.037161306,0.036581647,0.035711724,0.03453589,0.03318308,0.031883918,0.030794062,0.029932091,0.029199151,0.02851317,0.027858904,0.027310267,0.026961407,0.02685936,0.026953772,0.027128885,0.027285988,0.027384756,0.027426792,0.027412469,0.02732133,0.0275475,0.02950882,0.036245484,0.050932407,0.074426554,0.10303954,0.13063158,0.15302424,0.17167848,0.19190238,0.21745896,0.24614741,0.27078703,0.28451908,0.28519666,0.27541855,0.25932768,0.24136381,0.22682534,0.22177792,0.2290709,0.24534392,0.26238522,0.2724624,0.27217138,0.2627472,0.24910842,0.23802374,0.23567526,0.24289756,0.25423983,0.2602097,0.25394025,0.23335229,0.20178558,0.16568254,0.13499273,0.11999228,0.12612668,0.14843675,0.17405303,0.19156516,0.19855069,0.20132758,0.20639868,0.21556675,0.22514041,0.23132223,0.23199058,0.22726284,0.21714115,0.20229624,0.18494917,0.1704129,0.16366462,0.16657262,0.17524512,0.18436848,0.19031894,0.19394495,0.1970162,0.19930856,0.1966048,0.18380491,0.15907316,0.12655248,0.094474465,0.071095236,0.061438337,0.06583494,0.08035159,0.0978178,0.11164746,0.11855639,0.11984693,0.11835221,0.11618032,0.11375892,0.11126531,0.10917956,0.10806704,0.10794937,0.10852315,0.10959933,0.11126355,0.11360512,0.11659,0.12016592,0.12421656,0.12838669,0.13205701,0.13479877,0.13681334,0.13881516,0.14109631,0.14278986,0.14233077,0.13936894,0.13597614,0.13560121,0.1403945,0.14947136,0.15974039,0.16766278,0.1708004,0.16831724,0.16144097,0.15333118,0.14763789,0.14647482,0.14899611,0.15262045,0.15480746,0.15466245,0.15240538,0.14926891,0.14668423,0.14595748,0.14676337,0.14767562,0.14699565,0.14413875,0.13875204,0.13047688,0.119428456,0.10750454,0.09804368,0.09394496,0.0959428,0.10220245,0.109597355,0.11542217,0.11860753,0.119595915,0.119273536,0.1181415,0.11632582,0.1139709,0.11137251,0.10869672,0.10600817,0.10338699,0.10113355,0.099504374,0.09856344,0.098098315,0.09783837,0.09754619,0.09709367,0.09647038,0.09576711,0.09509788,0.09446802,0.09384059,0.09328734,0.09305971,0.09342978,0.09435471,0.09550971,0.09638784,0.09676535,0.09667325,0.0964982,0.09656453,0.09697608,0.09736388,0.09725854,0.09658426,0.0958501,0.09551344,0.095241405,0.09412122,0.091867685,0.08939964,0.087990455,0.08782225,0.08808986,0.08816191,0.08824561,0.08843673,0.08804201,0.08634866,0.083815664,0.08184963,0.08123458,0.081699036,0.08268245,0.08428041,0.08650616,0.08853737,0.08908364,0.08765566,0.08506145,0.08250636,0.080791436,0.08000955,0.07982872,0.07964093,0.078950435,0.07781141,0.07666842,0.07575175,0.074671455,0.07285591,0.06988133,0.06538209,0.058917344,0.050591987,0.041573063,0.033688966,0.028158903,0.024937531,0.023090899,0.021722326,0.020398416,0.0190804,0.017829927,0.016698048,0.015683737,0.014766622,0.013906644,0.013074406,0.012268379,0.011519478,0.010872216,0.01034074,0.009895074,0.00948263,0.0090777045,0.008695334,0.008350951,0.0080215065,0.0076434705,0.0071711927,0.006612301,0.006032707,0.00550817,0.00509047,0.0047810297,0.0045361393,0.0042754957,0.003914448,0.0034014024,0.0027527565,0.0020519434,0.0014094408,0.0009069003,0.00056446734,0.00035161184,0.00022188452,0.00013989807,8.6537184E-05,5.1755353E-05,2.9399866E-05,1.5531105E-05,7.87362E-06,4.551917E-06,3.7202692E-06,3.918341E-06,4.3349355E-06,4.551003E-06,4.351905E-06,3.733292E-06,2.9881132E-06,2.508252E-06,2.513657E-06,2.929506E-06,3.5074645E-06,3.956278E-06,4.0652726E-06,3.7757566E-06,3.3093831E-06,3.0260462E-06]