[0.04294899,0.04367094,0.045850333,0.049706057,0.0546827,0.05793367,0.056546465,0.050630208,0.04556324,0.048040163,0.060629446,0.079469554,0.098360874,0.11362382,0.12487981,0.13184613,0.13281882,0.12665801,0.11519992,0.103207044,0.09675353,0.10199648,0.12153339,0.14967258,0.17150678,0.17181678,0.14711653,0.10871431,0.07339496,0.050965924,0.040882267,0.037528265,0.03666431,0.037066128,0.038426165,0.040001087,0.040685654,0.04011823,0.039242838,0.041066978,0.050488878,0.07133728,0.10069872,0.12706298,0.13621855,0.12293566,0.09495371,0.06691987,0.048737228,0.04218736,0.045036495,0.055783942,0.07295377,0.09163996,0.10494506,0.10810035,0.102094986,0.09202025,0.084656306,0.0868293,0.10265145,0.1293808,0.15454604,0.16304791,0.1475728,0.11557295,0.082115665,0.059063897,0.04807655,0.044603914,0.04403572,0.04500472,0.047521215,0.051615845,0.058406066,0.071988836,0.09788849,0.13734825,0.18389654,0.22413279,0.24550901,0.24108416,0.21340986,0.17169338,0.12888412,0.09562424,0.07646809,0.069237225,0.067954846,0.06746161,0.06528885,0.061670993,0.05751604,0.053524394,0.04993933,0.04744947,0.047886606,0.054553796,0.06993799,0.092244156,0.11316534,0.12191385,0.1127836,0.09027449,0.06611388,0.050746154,0.047360584,0.052347258,0.061201382,0.07197096,0.08476069,0.098021895,0.10825032,0.11210027,0.10973954,0.10474082,0.10255969,0.10678616,0.11657082,0.12540221,0.12522027,0.112310104,0.0908497,0.069746666,0.055854786,0.050277267,0.049606886,0.050892994,0.053346485,0.05770938,0.06330942,0.06838373,0.0711267,0.071542256,0.07124168,0.07299901,0.079601265,0.091272175,0.10398584,0.109899394,0.10345406,0.08567051,0.06487345,0.049785916,0.04433541,0.046119433,0.051268365,0.057874817,0.06657377,0.07735581,0.08888906,0.09975636,0.11118867,0.12540443,0.14337729,0.1622119,0.17782088,0.18696956,0.18972307,0.1878723,0.18398057,0.17994104,0.17690657,0.1753245,0.17506813,0.17607604,0.17838286,0.18221141,0.18715923,0.19199674,0.19489221,0.19431919,0.19057499,0.18606673,0.18462874,0.18719284,0.19018413,0.18618596,0.1712913,0.14778227,0.1235097,0.10465456,0.093477435,0.08843509,0.08787025,0.09023736,0.09409536,0.09736812,0.09877344,0.09817032,0.09654516,0.09506255,0.09540362,0.10013466,0.11117258,0.12690632,0.14088072,0.14582397,0.13906604,0.124672264,0.10938391,0.097876005,0.09129592,0.08932969,0.09157631,0.097019635,0.10344813,0.10811999,0.109562844,0.10777942,0.1048417,0.103903025,0.109351784,0.12292745,0.14205419,0.15846695,0.16426064,0.15636204,0.1398729,0.123473205,0.11418898,0.11285619,0.11559174,0.117914505,0.11869604,0.11989433,0.12335533,0.12800658,0.13085838,0.1300162,0.1271766,0.12593944,0.128992,0.13520283,0.14105509,0.14282264,0.13958292,0.13275729,0.12519015,0.11950609,0.117845215,0.12138706,0.1293398,0.13892941,0.1464074,0.15014593,0.15101324,0.15160857,0.15319157,0.1567678,0.16440046,0.17953841,0.20173007,0.22312152,0.23167932,0.22048609,0.19288729,0.15935259,0.12957065,0.10910898,0.09911566,0.098533444,0.103680916,0.11013129,0.114123024,0.1146793,0.11272946,0.10991657,0.108626775,0.11289114,0.12800257,0.15431912,0.18369657,0.20039995,0.19372402,0.16489239,0.12757333,0.09560602,0.075685196,0.06571313,0.060817827,0.05794087,0.056850914,0.060222637,0.07310658,0.10297948,0.15353857,0.21906114,0.2816042,0.32151452,0.3284724,0.30891895,0.27900124,0.25496933,0.24432255,0.24567032,0.25336733,0.2633389,0.2764008,0.29399046,0.3157666,0.33607018,0.34954226,0.35012856,0.33405665,0.29919064,0.2515647,0.20621198,0.1815178,0.18738844,0.21719158,0.25053397,0.26542482,0.25244102,0.2205423,0.18960404,0.17603336,0.18379092,0.20684403,0.23789214,0.27189744,0.30543908,0.33382306,0.35393667,0.36378124,0.36264968,0.34947667,0.32682577,0.30128637,0.27843392,0.2563944,0.22807904,0.19175369,0.15658556,0.13673389,0.13821365,0.1535617,0.16640799,0.16377868,0.14288355,0.11157545,0.080605716,0.05748513,0.043857764,0.039359093,0.045476746,0.066141345,0.100872755,0.139661,0.1639588,0.16013895,0.12886415,0.08582591,0.04877773,0.028493099,0.02651508,0.03971955,0.062018484,0.08473184,0.10011339,0.10829132,0.12014425,0.14863439,0.19722255,0.25487566,0.30703327,0.3450214,0.36922613,0.37908444,0.3709673,0.34220243,0.3004596,0.26151356,0.2393614,0.23677194,0.24592352,0.25647736,0.2622515,0.2624383,0.2583673,0.2508262,0.2401688,0.22972246,0.22776772,0.24530244,0.2858572,0.33937308,0.3837323,0.40199006,0.39304486,0.37270832,0.35658333,0.35011128,0.34637335,0.33613834,0.31345242,0.27771008,0.23187254,0.18114673,0.13248312,0.09223107,0.0651674,0.05278213,0.05483067,0.06795454,0.08572334,0.09822709,0.0983313,0.08636901,0.07162277,0.064744346,0.070854045,0.086869024,0.10602894,0.12271818,0.13461383,0.14148594,0.14408071,0.14369325,0.14213687,0.14143968,0.14360356,0.15084891,0.16349171,0.17817326,0.18721478,0.1842736,0.16894566,0.14763166,0.12731254,0.11156545,0.10097554,0.09762636,0.10476178,0.12396703,0.15148683,0.18138887,0.20823513,0.2296129,0.2446891,0.25589725,0.26950428,0.29251066,0.32492134,0.3553265,0.36629298,0.34638596,0.2988586,0.24047309,0.19121945,0.16466863,0.16438472,0.18661378,0.22237222,0.2581001,0.2785603,0.2753346,0.25190994,0.22177696,0.19748628,0.18643768,0.18902157,0.2029553,0.22082452,0.2341867,0.23718512,0.23381321,0.23344743,0.24227548,0.25592628,0.2626993,0.25332966,0.22695814,0.19092214,0.15546481,0.13035446,0.12369838,0.13948496,0.17569049,0.22199498,0.26510775,0.29386243,0.30447242,0.29892996,0.28223023,0.26014686,0.23669761,0.21395205,0.19028498,0.16670693,0.14885952,0.14902036,0.17368878,0.21831594,0.26426956,0.2935892,0.29576758,0.2755545,0.2463241,0.22634935,0.22581373,0.24032803,0.25160095,0.24380326,0.21788962,0.19077826,0.1771773,0.17688616,0.17857318,0.1776887,0.1814431,0.1993884,0.22799103,0.25027403,0.24939352,0.22234674,0.18486106,0.16171682,0.17104374,0.211133,0.25986624,0.29126027,0.29081097,0.26266575,0.21993525,0.17531592,0.13634042,0.10628868,0.08699683,0.07791922,0.07717094,0.08060876,0.08498636,0.08924267,0.09608541,0.11001938,0.13521826,0.17233151,0.21662301,0.25721973,0.28103507,0.2799505,0.25686786,0.22502215,0.1995544,0.1894723,0.19457446,0.20834891,0.22228783,0.2281158,0.2214086,0.20159687,0.17313518,0.14199966,0.11635622,0.10524085,0.116438664,0.15007134,0.19465874,0.23182522,0.24741559,0.24063659,0.22161658,0.20163207,0.18568124,0.17454088,0.1703809,0.1769631,0.19409765,0.21375926,0.22521472,0.22234507,0.20801862,0.18983607,0.17596753,0.17011476,0.17087065,0.17068611,0.16097979,0.13707422,0.10275922,0.06700856,0.038454387,0.020548282,0.011805152,0.00864831,0.007951704,0.007982642,0.007969086,0.008911303,0.014751069,0.03370897,0.07324626,0.13410443,0.20460658,0.2682344,0.3124956,0.33717155,0.34788263,0.34944403,0.3407551,0.31960496,0.2862087,0.24479033,0.20159535,0.16545194,0.14843717,0.16171575,0.20650463,0.26862398,0.327095,0.3681859,0.39205524,0.40315163,0.40046954,0.37818417,0.33675137,0.288636,0.2525899,0.24303217,0.26255226,0.3043171,0.35690066,0.40978995,0.4526632,0.4747798,0.4681752,0.43400028,0.38598728,0.34278348,0.31660274,0.30711687,0.3068107,0.31035295,0.31671,0.3248669,0.32989934,0.32517782,0.30728933,0.27925897,0.25180587,0.24143954,0.26026234,0.30637398,0.35908028,0.39458063,0.39802334,0.37298563,0.3310013,0.2868658,0.25140417,0.2326678,0.23200989,0.24400763,0.25733963,0.26108274,0.25051782,0.23031966,0.21177477,0.20795412,0.22871427,0.27531525,0.3372998,0.39355817,0.42556205,0.42791274,0.41158375,0.39113584,0.37488413,0.36176026,0.3466477,0.32489857,0.29415014,0.2561255,0.2168311,0.18630874,0.17483686,0.18913488,0.22838439,0.28335056,0.33781204,0.3743752,0.38081202,0.3579979,0.3190663,0.28419498,0.2662611,0.26666495,0.27588814,0.28688538,0.29771543,0.31201777,0.329368,0.3475684,0.3643781,0.38176188,0.40122807,0.4210302,0.43772888,0.44734666,0.44610643,0.4268955,0.38668072,0.3307369,0.2756358,0.23675877,0.22093995,0.22352153,0.23567867,0.24741416,0.24902028,0.23322327,0.2018032,0.16859311,0.15348007,0.1696093,0.21621053,0.28108597,0.3485283,0.40444288,0.43688092,0.43958974,0.4145579,0.37469423,0.3357772,0.30959556,0.2972748,0.29328597,0.2889167,0.27736893,0.253616,0.21837032,0.17957328,0.15280914,0.15348832,0.18794854,0.24959809,0.3200891,0.3799583,0.41321397,0.41665164,0.3956889,0.36567017,0.34089983,0.33042648,0.3308215,0.33208668,0.32515576,0.3085195,0.2857249,0.2609441,0.23737289,0.21792541,0.20498353,0.20010494,0.20784086,0.23490912,0.28455254,0.34474227,0.39392912,0.41230533,0.39747858,0.35924825,0.31361052,0.2739011,0.251628,0.25129983,0.26849177,0.28926098,0.3003812,0.29561424,0.27817965,0.25531808,0.23648125,0.232888,0.2527257,0.29367486,0.3393525,0.37140456,0.38306817,0.38255242,0.38144267,0.38343194,0.38424787,0.37856868,0.36458114,0.34246495,0.31074247,0.26868725,0.22022448,0.17803936,0.15618445,0.16279335,0.19476433,0.2429388,0.2958108,0.34168175,0.36962286,0.3736392,0.3548914,0.32092705,0.28183842,0.24914373,0.23246633,0.23477054,0.24877898,0.25979537,0.257022,0.24020235,0.2199163,0.20718952,0.2080888,0.22358324,0.25267044,0.2905093,0.32439506,0.33879086,0.32652798,0.2974798,0.27100194,0.262653,0.27441236,0.29872915,0.32416782,0.34053683,0.33788455,0.31054044,0.26171336,0.20640935,0.16528718,0.15246914,0.17107844,0.21209206,0.2636452,0.31016985,0.33997437,0.34463966,0.3260421,0.29166317,0.25335002,0.22257604,0.20999412,0.22076516,0.2518005,0.2912382,0.3267254,0.35125312,0.36524692,0.3710562,0.37166265,0.37255815,0.38191688,0.40269598,0.42521945,0.43056986,0.40608025,0.3550746,0.2944433,0.24095267,0.20366545,0.18324696,0.17573701,0.17408727,0.16917227,0.15448147,0.1311392,0.108898334,0.09906813,0.10827323,0.13777925,0.18705346,0.25184318,0.31921715,0.3692331,0.38705277,0.37480322,0.3487767,0.32695672,0.3162985,0.314865,0.31643787,0.3167963,0.30925083,0.2881423,0.25291917,0.21620627,0.19553524,0.20277797,0.23621716,0.28712237,0.34404573,0.39385048,0.42069486,0.4143258,0.37825933,0.32961214,0.28768864,0.26367712,0.25854972,0.26852491,0.28816855,0.3111014,0.32812062,0.33185884,0.32000616,0.29801464,0.27567396,0.26412377,0.27223828,0.30083954,0.33921382,0.36725605,0.36846033,0.34117815,0.30134106,0.27172983,0.26831412,0.29157963,0.32766914,0.35677135,0.36402357,0.347519,0.3197873,0.2993251,0.29952332,0.32073036,0.35505024,0.3936886,0.42948982,0.45367777,0.45403937,0.42474926,0.37073508,0.30843732,0.2530168,0.21400309,0.19302505,0.1876752,0.19186471,0.19711627,0.19679004,0.19039595,0.18372422,0.18327202,0.19200279,0.2105651,0.23993917,0.27868357,0.31871536,0.3457366,0.35026935,0.33416617,0.31053013,0.291978,0.28428343,0.28412703,0.28438106,0.27790263,0.261449,0.23737252,0.21335776,0.1973014,0.19190037,0.19460715,0.20400982,0.2257741,0.26428744,0.31439564,0.35508406,0.36906525,0.3526692,0.32268354,0.29695275,0.2861971,0.28924206,0.301138,0.31470397,0.32103613,0.30993643,0.27744883,0.23049976,0.18767215,0.1676872,0.18103857,0.2229846,0.2776542,0.3237771,0.34488007,0.33766267,0.31363198,0.290525,0.27903998,0.27747628,0.2778701,0.27521124,0.27058446,0.2668757,0.26546213,0.2668195,0.27296314,0.28566608,0.30471984,0.32668737,0.3504219,0.37390414,0.39427257,0.40217873,0.39350155,0.37155977,0.34986782,0.33822107,0.3391652,0.34739757,0.35657093,0.3605844,0.35400334,0.33312944,0.29977646,0.2610996,0.22628365,0.20156156,0.19102801,0.19910882,0.22678463,0.26633796,0.29801336,0.3051966,0.28436613,0.25012147,0.2192436,0.20209563,0.1985469,0.2045752,0.21344948,0.21740745,0.21083458,0.19809897,0.19214861,0.2042082,0.23188567,0.2630041,0.29184797,0.32321522,0.36510047,0.4086214,0.4374243,0.43601692,0.40732732,0.36111605,0.31148496,0.2699255,0.24833877,0.25158513,0.2731035,0.29616556,0.30611,0.29880324,0.281492,0.2656317,0.26128078,0.27582157,0.3097699,0.35552493,0.39472914,0.4106895,0.39650932,0.3627782,0.3268497,0.30267498,0.29117668,0.28468564,0.27478215,0.25966653,0.24320477,0.23137353,0.22937964,0.24035956,0.26467922,0.2989308,0.3396077,0.38171247,0.41920745,0.4409683,0.44022107,0.4185526,0.38891146,0.36394116,0.3502659,0.34669462,0.34917864,0.3530124,0.35286114,0.3440731,0.32442296,0.2962722,0.26475573,0.23712939,0.22092229,0.22414123,0.24849398,0.28586626,0.31752017,0.3289357,0.3198725,0.3059775,0.3019224,0.31003585,0.3206928,0.3255128,0.323146,0.31572488,0.30054882,0.27274477,0.23165084,0.18757594,0.15743499,0.15825945,0.19828255,0.2705401,0.35136423,0.4090139,0.42286786,0.3980643,0.36237326,0.34562883,0.35853186,0.3897977,0.41821575,0.42840576,0.41458467,0.3777288,0.32369113,0.26513386,0.2192958,0.19669546,0.19542688,0.20675863,0.22859804,0.26351056,0.30780664,0.3454727,0.36058438,0.3506017,0.32659447,0.30205643,0.28570434,0.2826763,0.2963074,0.3256415,0.36232343,0.3941288,0.41227195,0.41567156,0.4087675,0.3973972,0.3898647,0.3958756,0.42208508,0.46058235,0.49180427,0.49613214,0.47153637,0.43028995,0.38712576,0.34667444,0.30837205,0.27577147,0.25754178,0.25977165,0.276601,0.29631922,0.30833972,0.31079933,0.30520287,0.29381645,0.27847743,0.26226166,0.24813838,0.23422134,0.21492113,0.18503945,0.14706205,0.109713554,0.083591856,0.07504177,0.08586302,0.11364458,0.15291704,0.19554938,0.23412232,0.2647744,0.28765902,0.30399516,0.31378916,0.3167994,0.3141512,0.3087522,0.30256736,0.29497102,0.28299215,0.26397297,0.23744161,0.20540513,0.17203207,0.14287607,0.12281092,0.112279885,0.10752851,0.10564527,0.11102167,0.13078536,0.16546251,0.2013048,0.21984333,0.20980918,0.1765551,0.13590032,0.10572166,0.0966669,0.1099875,0.13800047,0.16829018,0.18817192,0.18946324,0.17091523,0.13810478,0.100335576,0.06685037,0.04402652,0.034366947,0.036066875,0.04435575,0.05286884,0.057265207,0.05555907,0.048988868,0.040598337,0.03640238,0.044573653,0.07092368,0.113911115,0.16211955,0.20273809,0.22700004,0.23390466,0.22379136,0.20006585,0.17071526,0.14979996,0.14766206,0.16382076,0.1882261,0.21126665,0.22921439,0.24259143,0.25140134,0.25515625,0.25446036,0.25246432,0.2529029,0.25869212,0.2699664,0.28386486,0.29546833,0.30090094,0.30000958,0.29519376,0.2901175,0.28876352,0.29904243,0.3300822,0.38414916,0.44886008,0.50004476,0.5195787,0.50483006,0.47097042,0.43417957,0.40539774,0.38398144,0.3646188,0.3397255,0.30663624,0.26962736,0.24008344,0.22962116,0.24241526,0.27140167,0.30172968,0.32036188,0.32196808,0.31076732,0.2940909,0.2799163,0.27351293,0.27850124,0.2926802,0.30876967,0.31677344,0.312058,0.2960477,0.27304026,0.24531354,0.21597111,0.19339222,0.18824835,0.20529616,0.23569882,0.26442134,0.279097,0.27930656,0.2715004,0.26422822,0.26148382,0.26333284,0.26726067,0.2709513,0.27417135,0.27760777,0.28165185,0.28368962,0.28083858,0.27150676,0.25851688,0.24479692,0.2324691,0.22092062,0.21296911,0.21283895,0.22414736,0.24191892,0.25757065,0.26408827,0.26320562,0.25997725,0.25866497,0.25893018,0.2602868,0.26262805,0.2668008,0.27070913,0.27208367,0.26994577,0.26723757,0.2681239,0.27808282,0.30441856,0.35152504,0.41330191,0.4683211,0.49448156,0.48332083,0.44766805,0.40614954,0.370598,0.3404753,0.3120598,0.28646675,0.2706809,0.2713668,0.28597906,0.30169967,0.30075595,0.27307692,0.22444999,0.17716783,0.15827453,0.18253498,0.2422694,0.3113297,0.36267957,0.38121405,0.36649325,0.32626733,0.2728494,0.22314334,0.193599,0.19263037,0.21395497,0.24344002,0.26828492,0.28276274,0.2842945,0.2715649,0.24790739,0.22582145,0.22188888,0.24423294,0.2852299,0.3257029,0.34838423,0.34427258,0.3168882,0.27780798,0.24456023,0.22673452,0.22027569,0.20983975,0.18833752,0.16633558,0.16226526,0.18295936,0.21479104,0.23860884,0.24305509,0.2307121,0.20826381,0.18365318,0.16594054,0.1664474,0.1918292,0.2380808,0.29124463,0.33721125,0.36767069,0.38078597,0.3754655,0.3523107,0.3180053,0.2863176,0.27322626,0.28582606,0.32540858,0.38353097,0.44909906,0.49856615,0.5137076,0.4867263,0.4361358,0.38715968,0.35969734,0.35318676,0.356081,0.35545933,0.3453833,0.32508573,0.29542902,0.259138,0.22296743,0.19600154,0.18299957,0.18093412,0.18529059,0.19706346,0.22192661,0.2591174,0.2979472,0.3244066,0.3325425,0.3248068,0.30560097,0.27860448,0.25092176,0.23377632,0.23447798,0.24751312,0.2601253,0.2629458,0.2578668,0.24876045,0.23518431,0.2119389,0.18076228,0.15451907,0.14952296,0.17135753,0.20680942,0.23393434,0.23675221,0.21878701,0.1989649,0.19821356,0.22230577,0.25682357,0.27998188,0.28148893,0.27019486,0.26109776,0.25775966,0.25228822,0.23947765,0.2296831,0.23798025,0.26826885,0.30502167,0.32734618,0.32248914,0.29386362,0.25483412,0.22367556,0.21252637,0.22297217,0.24301952,0.25968668,0.26739728,0.2718402,0.27983811,0.29431486,0.31707785,0.35157827,0.40017566,0.45227775,0.48921886,0.49381602,0.4656866,0.41696858,0.3664912,0.3321543,0.33047184,0.36722302,0.43055812,0.48898777,0.5128366,0.49126804,0.44163585,0.3924478,0.36793247,0.37681273,0.41290691,0.45882782,0.4908916,0.49156117,0.4591759,0.4124762,0.37547883,0.3638157,0.37576094,0.4046605,0.44246373,0.4834619,0.5141589,0.52340364,0.5071579,0.47581825,0.44126344,0.41237536,0.39519024,0.39870498,0.42804006,0.4735302,0.5096605,0.51280135,0.47901317,0.4279481,0.38730595,0.37647924,0.39917186,0.44415006,0.4927911,0.5233846,0.52396894,0.49540246,0.45394516,0.4176711,0.4002569,0.4059218,0.43379855,0.47493437,0.5121402,0.523461,0.49924156,0.45086166,0.40602696,0.38552812,0.39016572,0.40495858,0.41681376,0.42363808,0.42805997,0.43098786,0.4305574,0.42954183,0.43213758,0.44203106,0.45745423,0.47712255,0.49522272,0.5031068,0.48900095,0.45375404,0.41204235,0.38522282,0.38253796,0.39745736,0.4164343,0.43050992,0.4387081,0.4424559,0.4431622,0.44096255,0.43698373,0.43155012,0.42551017,0.4201928,0.41822863,0.41859743,0.41468778,0.39622378,0.35883734,0.3090141,0.2625037,0.23421945,0.2308502,0.24847822,0.27691475,0.3047136,0.32349133,0.3304771,0.32958388,0.3283795,0.33260342,0.34312043,0.3597192,0.38594985,0.42376447,0.4650848,0.48911905,0.4806464,0.4420983,0.39449885,0.35714868,0.33853647,0.33664787,0.34742048,0.36545387,0.38106373,0.38377523,0.3691881,0.3457823,0.32899928,0.33129442,0.35325536,0.38550124,0.4155941,0.43348598,0.4327502,0.411522,0.37585688,0.33909428,0.3147259,0.30764225,0.31445104,0.33116004,0.35596812,0.38570163,0.4101042,0.41902128,0.40932354,0.3895085,0.373104,0.37253392,0.3954185,0.43750548,0.48390436,0.5110834,0.50680524,0.4735998,0.42719516,0.3790314,0.33464614,0.2986925,0.28012395,0.2865374,0.31366923,0.34621158,0.36762115,0.37293708,0.3703872,0.3731935,0.38893613,0.41387108,0.43582413,0.44122955,0.42386267,0.3888435,0.3490145,0.31674287,0.29737,0.2908044,0.29493734,0.30886593,0.3304006,0.35624826,0.38073468,0.39946702,0.40918374,0.4107388,0.4086872,0.41187003,0.42912388,0.45988607,0.48936906,0.49256358,0.45475844,0.38195458,0.29854771,0.2268727,0.17831679,0.154887,0.15837018,0.18824726,0.23642503,0.2850851,0.31757453,0.327292,0.32116193,0.31139922,0.30938172,0.32116413,0.34464625,0.36824277,0.3742224,0.35383224,0.31734613,0.291159,0.29536662,0.3270754,0.36351493,0.38380504,0.3848714,0.37716055,0.36910486,0.35994828,0.34724423,0.33662534,0.34089985,0.37025273,0.42412114,0.4894514,0.5462597,0.57368296,0.56167334,0.5151281,0.45408955,0.39909112,0.36216506,0.34348956,0.34036168,0.3513267,0.3747605,0.4036859,0.4281168,0.44075212,0.44148722,0.4346551,0.42654428,0.423712,0.43117657,0.44773424,0.46390453,0.46788433,0.45551786,0.43335864,0.4134197,0.40262714,0.40094233,0.4032154,0.4059303,0.4074826,0.4068415,0.40228343,0.39284256,0.38162744,0.37455657,0.37925592,0.40102053,0.43899536,0.4810846,0.50732994,0.50256497,0.4698869,0.42746112,0.39411905,0.37564793,0.36877298,0.36940646,0.37769425,0.3928804,0.41058984,0.42527878,0.43560615,0.4439809,0.45277265,0.46051893,0.46494794,0.4632801,0.45228484,0.4255806,0.38022768,0.32396138,0.2775674,0.2636944,0.29153326,0.3497602,0.41345516,0.45966685,0.47758222,0.47010836,0.44723544,0.42094144,0.40137735,0.39579168,0.40796673,0.4376935,0.47994575,0.52146035,0.54334825,0.529499,0.48121813,0.41739687,0.36243418,0.32694286,0.30798218,0.3007039,0.3089949,0.33765006,0.37994468,0.417937,0.4357129,0.43083993,0.41273615,0.39461184,0.38817617,0.39925635,0.4246076,0.44962525,0.45643494,0.43508407,0.39215997,0.3459768,0.31474128,0.30549943,0.31393394,0.33215007,0.35385522,0.3745811,0.3884815,0.3929613,0.39122105,0.39206386,0.4021519,0.42356884,0.45384368,0.48758483,0.5150616,0.5247014,0.50863487,0.46793988,0.41239944,0.3562143,0.31457904,0.29887128,0.31232527,0.34599748,0.3814948,0.40112892,0.39779317,0.3795599,0.36176017,0.35730246,0.36906347,0.39086747,0.41213235,0.4223827,0.41596875,0.39527452,0.37151554,0.35936806,0.3663055,0.38850692,0.41336998,0.4328153,0.44535482,0.4550952,0.46220717,0.4659084,0.46616185,0.46640658,0.46984065,0.4790599,0.4969361,0.5237045,0.551712,0.56594205,0.5544529,0.51894563,0.47312316,0.43261325,0.4057441,0.39389098,0.39465216,0.40394345,0.41530928,0.42120776,0.41648796,0.40102264,0.37981534,0.36041257,0.3510817,0.35696495,0.3771124,0.4019753,0.4188516,0.419539,0.40621522,0.38794735,0.37271604,0.3633777,0.35911676,0.36026588,0.36665693,0.37493256,0.37840685,0.37412962,0.368529,0.37331465,0.3967533,0.43628743,0.48171628,0.5174646,0.5283375,0.5034918,0.44757402,0.38157213,0.33440804,0.32260373,0.34164855,0.37074253,0.39181945,0.39966878,0.40109816,0.40137276,0.39910793,0.3887807,0.37052274,0.35162267,0.34309784,0.35259274,0.3802178,0.41634086,0.44480333,0.45106074,0.4311564,0.3943484,0.35666347,0.33189398,0.32520095,0.33415982,0.35219428,0.37216082,0.3875418,0.39317346,0.3862282,0.3672171,0.34193027,0.3229015,0.3256515,0.3562965,0.40149343,0.43227395,0.42633423,0.38266626,0.31998813,0.2584511,0.21221673,0.19149095,0.20506859,0.25334546,0.320117,0.3799379,0.4134415,0.42018917,0.41289437,0.40557504,0.4041798,0.40876055,0.4163803,0.4238602,0.4270109,0.42407557,0.41636255,0.4079552,0.40180132,0.39892054,0.39944223,0.403962,0.41229954,0.42135847,0.42523646,0.42025352,0.4091395,0.4005859,0.40293288,0.419758,0.4492512,0.48395467,0.5104616,0.5125585,0.48188698,0.4259679,0.36582223,0.3241296,0.3137442,0.3346872,0.37529337,0.41943958,0.45278504,0.46999463,0.4734693,0.4690561,0.4608667,0.45142862,0.4437183,0.44104874,0.44275627,0.4407339,0.42200968,0.37980866,0.32242465,0.27201355,0.24976845,0.26213548,0.29776493,0.33885005,0.37251917,0.39565444,0.4102424,0.4198494,0.42763463,0.43625322,0.44743446,0.461356,0.4794104,0.5000457,0.5184377,0.5229758,0.506794,0.47065315,0.42488098,0.37772322,0.33401287,0.29746878,0.27646413,0.27926263,0.30671373,0.34839642,0.39000145,0.42051437,0.43649122,0.43896386,0.43293226,0.42749193,0.43165413,0.4475353,0.46497723,0.4718603,0.4640819,0.45032087,0.4397997,0.43401793,0.4270426,0.415597,0.40248692,0.39240658,0.38577294,0.38031372,0.37565807,0.37518266,0.38289985,0.40103996,0.43082228,0.4693307,0.50583154,0.5211373,0.5022567,0.45532298,0.40574765,0.37755665,0.37641653,0.38871166,0.39816546,0.39754927,0.39008036,0.3812008,0.37518564,0.3743591,0.38021186,0.3920888,0.40734053,0.42258713,0.43277088,0.4299815,0.4050506,0.3574467,0.30097824,0.260205,0.2530883,0.28077576,0.328009,0.37789285,0.41888824,0.44637275,0.45619294,0.4471569,0.42344078,0.39644614,0.3776693,0.3740978,0.38870576,0.4215463,0.46827856,0.51418847,0.5422663,0.54181665,0.5180002,0.4822897,0.4450613,0.41023493,0.37945572,0.35297474,0.3290104,0.30508307,0.2819372,0.26605582,0.26455823,0.27835146,0.2984322,0.31114757,0.305879,0.28076163,0.24182193,0.19964677,0.16574985,0.15032008,0.15860711,0.1883595,0.22929235,0.2685353,0.29569685,0.3066866,0.30314362,0.2912123,0.2794582,0.27431336,0.2775757,0.2858112,0.29569212,0.30625919,0.317655,0.32678708,0.32545733,0.30594042,0.26581755,0.212626,0.15841071,0.116189785,0.0936586,0.093506426,0.11122251,0.13679844,0.15643673,0.15893364,0.14073242,0.108019195,0.07254921,0.045235377,0.031184616,0.029141674,0.03379832,0.039392505,0.04388496,0.05184074,0.073412724,0.115894586,0.17571342,0.2357908,0.27595183,0.28289863,0.25762418,0.21134575,0.16193639,0.12635168,0.11802762,0.14265494,0.20078216,0.284781,0.3783423,0.45507908,0.4917713,0.48163152,0.43954742,0.3896855,0.34994984,0.32663321,0.31827602,0.3202953,0.3243626,0.31867608,0.2940354,0.25088117,0.20064133,0.15854783,0.13667911,0.1419459,0.17623879,0.23362987,0.2978675,0.34789276,0.37087294,0.36930904,0.3567212,0.34535062,0.34068453,0.34188715,0.34494278,0.3424196,0.32518867,0.28769913,0.2336405,0.17545371,0.12891065,0.10875052,0.12721676,0.18889372,0.2803733,0.36825642,0.41504335,0.4064903,0.35994515,0.3094655,0.27902222,0.27315047,0.28323963,0.2974961,0.30519545,0.29597363,0.26531965,0.21711417,0.16452263,0.12189537,0.1008738,0.10892248,0.14942934,0.21622872,0.2908801,0.34891176,0.37638482,0.3773546,0.36957633,0.36812708,0.3780949,0.3939078,0.4071921,0.41147766,0.40555862,0.392427,0.37745544,0.3652873,0.35895133,0.36154333,0.37814978,0.4141754,0.4633224,0.5048445,0.5101448,0.47060415,0.40266046,0.3397533,0.30274376,0.29439533,0.30332687,0.3177317,0.32762602,0.32486776,0.3051081,0.2706907,0.23112363,0.19763537,0.17934625,0.18180995,0.20789683,0.25472924,0.31149423,0.36134323,0.39120904,0.398239,0.38970459,0.37526265,0.3618312,0.35193405,0.34445736,0.33504546,0.31729305,0.28698325,0.24580298,0.20207101,0.16622417,0.14909808,0.16030733,0.20776363,0.2842292,0.36514378,0.4143485,0.4157962,0.38088068,0.3423927,0.32238555,0.32426238,0.33566865,0.3432869,0.337436,0.31261763,0.27003962,0.21802767,0.17045571,0.1384046,0.12740035,0.1386403,0.17367207,0.23060513,0.29927966,0.35963273,0.3945596,0.39991283,0.3875532,0.37307748,0.3663641,0.36799136,0.3739915,0.3807485,0.38609865,0.38943186,0.39011016,0.3888807,0.38678634,0.3876609,0.39655638,0.42050242,0.45670375,0.49158064,0.5017534,0.47819695,0.43063548,0.38403717,0.3549935,0.3461615,0.3493631,0.35478675,0.35356975,0.33821222,0.30593956,0.26116964,0.21379758,0.1737607,0.1482531,0.14301027,0.16430075,0.21329205,0.28083515,0.34568307,0.3881992,0.4005325,0.39151824,0.3755931,0.3636391,0.35781193,0.35366663,0.345204,0.32687232,0.2974782,0.2584296,0.21590771,0.17720096,0.15307713,0.15462498,0.19271159,0.2646689,0.34990415,0.41346547,0.43278793,0.4116948,0.3760399,0.34907916,0.3380239,0.33764705,0.33990535,0.33863726,0.32955828,0.31121895,0.28647268,0.25871307,0.23034799,0.20360726,0.18644875,0.19182484,0.22792561,0.2880031,0.3492793,0.38883123,0.39812243,0.387334,0.37305903,0.3656894,0.36600256,0.369357,0.37230554,0.37314615,0.3729707,0.37276185,0.373505,0.37345478,0.37326026,0.37718797,0.39560103,0.42917153,0.46501625,0.47621575,0.44993708,0.39475164,0.33894882,0.303539,0.29410002,0.30187038,0.31558916,0.32479882,0.32067716,0.29845348,0.26136273,0.22036515,0.1868522,0.16763407,0.16526349,0.18463707,0.22886737,0.29279628,0.35595843,0.39661312,0.40492582,0.39099362,0.37106767,0.35593462,0.34526935,0.3347863,0.3212968,0.30468404,0.2847332,0.26084086,0.23258622,0.2027663,0.17881982,0.17333339,0.20163667,0.26906815,0.36063328,0.4392023,0.47121426,0.449029,0.39704373,0.34815672,0.32180035,0.3176075,0.3239019,0.32770446,0.31882408,0.29317728,0.2539613,0.21039455,0.17222184,0.14621903,0.13670449,0.1492225,0.18669647,0.24349982,0.30058113,0.33737266,0.34512544,0.33456397,0.32501778,0.329348,0.34687844,0.36767554,0.38354114,0.39165986,0.39369622,0.39099565,0.3847984,0.3776077,0.3746338,0.38141093,0.40195468,0.4335661,0.46673632,0.48613203,0.48144367,0.45318648,0.412848,0.37411794,0.34560153,0.33119544,0.3310289,0.34212676,0.3543476,0.35336742,0.32859364,0.28249425,0.2301266,0.19055504,0.17715694,0.19522156,0.24157007,0.3054296,0.36800885,0.41079643,0.42452404,0.4147319,0.3952812,0.37960556,0.37518755,0.3834386,0.3997841,0.4141049,0.4138827,0.39181122,0.35072568,0.30288312,0.26366913,0.24718678,0.26429492,0.31740737,0.3939046,0.46477294,0.5001843,0.488228,0.4423671,0.38844585,0.34764752,0.32801607,0.32647172,0.33388674,0.3396598,0.33608985,0.32023418,0.29327634,0.2586117,0.22338796,0.19912511,0.19946189,0.23053022,0.2849193,0.34183002,0.38047484,0.39167038,0.38335726,0.37158778,0.36930367,0.379001,0.39535308,0.41189763,0.42517194,0.4331548,0.43265426,0.4203335,0.39770892,0.37315455,0.35882238,0.36368355,0.3875737,0.41895294,0.44043532,0.4392179,0.4173316,0.38757324,0.3638529,0.3506002,0.34658825,0.34960768,0.35785922,0.36598638,0.36342952,0.34204805,0.3011594,0.25084502,0.20562686,0.18048644,0.18571289,0.22316329,0.28279904,0.34413978,0.38675272,0.40152964,0.39465407,0.3794304,0.36637327,0.359612,0.35985896,0.3652302,0.36969304,0.36265132,0.33635807,0.29269803,0.244135,0.20618956,0.19126487,0.20642923,0.25244763,0.317404,0.37812388,0.40905252,0.40394953,0.37568784,0.34753358,0.33174002,0.33034003,0.33870947,0.35163555,0.36086643,0.35555565,0.32995299,0.28903508,0.24779367,0.22140634,0.21734677,0.23517543,0.26951987,0.31335315,0.35572997,0.38464716,0.39246932,0.38230017,0.36618266,0.35634887,0.35856393,0.37052974,0.3867518,0.40148333,0.4102594,0.41051856,0.40282503,0.39182925,0.38302386,0.3810476,0.38818133,0.40656242,0.43342963,0.45991537,0.47151223,0.46167687,0.43591487,0.40974435,0.39418614,0.39185378,0.39834616,0.40783763,0.4133735,0.4067473,0.38206068,0.33970454,0.2864687,0.23175742,0.18558924,0.16044866,0.16949129,0.21734339,0.29087737,0.36118302,0.4022173,0.40572634,0.3850833,0.36011815,0.3459145,0.34607312,0.35627434,0.36668655,0.36661598,0.34942198,0.31641778,0.27574316,0.23726551,0.21063924,0.20613407,0.2353639,0.29975966,0.38353446,0.45349503,0.48472884,0.473649,0.44183108,0.41183648,0.39712456,0.39680076,0.40477052,0.4105494,0.40245965,0.37148497,0.31860015,0.25557342,0.1993794,0.16464181,0.16010581,0.18842526,0.2432173,0.30889738,0.3632573,0.39143988,0.39269638,0.38153878,0.3742044,0.3801708,0.39797875,0.4207565,0.44211957,0.4593842,0.47277176,0.48207188,0.48614827,0.48390797,0.47806227,0.47456896,0.48142767,0.49848235,0.51559216,0.513455,0.48318863,0.432142,0.38225928,0.3496978,0.338369,0.34206843,0.35406694,0.36803427,0.37688616,0.3730531,0.35418594,0.32348302,0.28899714,0.25929967,0.24433535,0.25331748,0.28830722,0.33985433,0.3873438,0.41447675,0.41602734,0.40089595,0.3795545,0.3606176,0.3486241,0.34620067,0.35086226,0.35359287,0.34321213,0.31411052,0.27042684,0.22302578,0.18554814,0.1720611,0.19677229,0.26161692,0.34904638,0.42140254,0.4512882,0.43896607,0.41410413,0.40350536,0.41353238,0.4311024,0.442503,0.4433228,0.43558046,0.4233333,0.4094585,0.39725876,0.38751563,0.3797908,0.37368777,0.37379166,0.38601434,0.41188088,0.4420674,0.46204093,0.46114257,0.44145736,0.41529667,0.3969605,0.39341614,0.4021705,0.4160125,0.4288049,0.43730354,0.43958536,0.434765,0.42515635,0.41752246,0.42081487,0.44125393,0.4761776,0.5124505,0.53091675,0.5194456,0.4810789,0.43277574,0.39188036,0.36669084,0.3546445,0.34931752,0.34529182,0.34052634,0.33455834,0.3274667,0.31850472,0.3078206,0.29715264,0.29037356,0.28983927,0.294564,0.2995403,0.29983902,0.29289612,0.27986172,0.2633409,0.24606873,0.22986843,0.21575432,0.20390292,0.1935866,0.18402149,0.17497295,0.16702165,0.16055684,0.15528446,0.15062185,0.14632338,0.14260559,0.13943265,0.13659,0.13374825,0.1312484,0.130711,0.1359835,0.15200488,0.18078727,0.2179725,0.25361177,0.27905047,0.2910907,0.29190445,0.28362808,0.26768687,0.24623859,0.22451676,0.20797628,0.19889842,0.19536138,0.19398047,0.19292921,0.19210726,0.19160275,0.18963812,0.18356116,0.17179054,0.15671994,0.14383817,0.13909929,0.14441155,0.15702154,0.1711399,0.1831394,0.19234402,0.200664,0.2073831,0.21010566,0.20544843,0.19377516,0.1775912,0.16039163,0.14359283,0.1274857,0.11206349,0.0981506,0.08651698,0.077303976,0.069841675,0.06363816,0.058714766,0.055421337,0.054095197,0.05553468,0.0618848,0.075787134,0.09824733,0.12628807,0.15441568,0.1777309,0.19469571,0.20582207,0.21165258,0.2120989,0.20780987,0.20102441,0.19440232,0.19013952,0.18919045,0.19189192,0.1970113,0.20217699,0.20443203,0.20282905,0.1981353,0.1917118,0.18337005,0.17367272,0.16559927,0.16417299,0.17115134,0.18297279,0.19355668,0.19988881,0.20319481,0.20545505,0.20686905,0.20694123,0.20758003,0.21267599,0.2238028,0.23683818,0.24251974,0.23399651,0.2112932,0.18261509,0.15621878,0.13667057,0.12338758,0.116606824,0.1184544,0.13158672,0.15442492,0.18054213,0.20196266,0.21363,0.21605913,0.21276419,0.20716612,0.19861738,0.18480606,0.16470772,0.14377874,0.13028751,0.13032873,0.14086442,0.1536268,0.1612882,0.16455297,0.16923876,0.18045759,0.19697975,0.21283512,0.22197501,0.22204353,0.2142384,0.20071848,0.18305963,0.16197146,0.1391219,0.11798363,0.10437431,0.10334841,0.11662493,0.13995175,0.16598342,0.18759303,0.20173474,0.20883892,0.2110313,0.2098564,0.20509876,0.19518082,0.17825617,0.15463883,0.12732169,0.10097217,0.07917851,0.06332478,0.052875508,0.047036976,0.04549711,0.048703507,0.056538075,0.06780083,0.08017594,0.092574455,0.10580482,0.12130761,0.13732736,0.14791141,0.146197,0.13088466,0.10998931,0.09807382,0.10691748,0.13713193,0.17684497,0.21082117,0.23030658,0.23666233,0.23495232,0.22673023,0.20968606,0.18386285,0.15750282,0.14305505,0.14793146,0.16677475,0.18509711,0.19011724,0.18025517,0.16495068,0.15525275,0.1542676,0.155748,0.15240015,0.14517605,0.14434326,0.15983438,0.1916799,0.22727005,0.25086746,0.25177264,0.23089194,0.19718356,0.16492929,0.1456272,0.14413667,0.1552832,0.16911411,0.17647265,0.17400332,0.16370434,0.1505469,0.13975368,0.13398796,0.13282055,0.13328536,0.13286425,0.13073902,0.12785642,0.1254578,0.124130815,0.123660706,0.12340009,0.12286669,0.122032404,0.12122274,0.1207056,0.12018615,0.118840285,0.115847655,0.11143139,0.10716331,0.105175935,0.106558144,0.110624075,0.11573494,0.12071508,0.12554304,0.13050252,0.135449,0.13941513,0.1416711,0.14211202,0.14148046,0.14009275,0.13736929,0.1318924,0.122953095,0.111402065,0.09953117,0.08956826,0.082549416,0.078071035,0.07513768,0.07297596,0.07134929,0.070148975,0.06899815,0.067276396,0.06473119,0.06192817,0.060010035,0.059843328,0.061443627,0.064266026,0.06812269,0.073581375,0.081596486,0.09236437,0.10484994,0.11696222,0.12673189,0.13313152,0.13640575,0.13755079,0.13763696,0.13722177,0.13570501,0.13126056,0.121307574,0.10514807,0.08585217,0.0710806,0.06862495,0.08208702,0.10730314,0.13590026,0.15972184,0.17558813,0.18420608,0.18813902,0.18886326,0.18689893,0.1823159,0.1757928,0.1684755,0.1614846,0.15529366,0.1496849,0.14416307,0.13867436,0.13357824,0.12945639,0.12613927,0.12282612,0.11843882,0.11279473,0.10681408,0.101796806,0.098296076,0.09565344,0.09292031,0.08978475,0.08651171,0.082883924,0.077806585,0.07065926,0.06249283,0.05560187,0.0513576,0.049330473,0.04802228,0.046181004,0.04290613,0.03757791,0.030299306,0.022385286,0.015723364,0.011475994,0.009477808,0.008776081,0.008503373,0.00824907,0.007933813,0.0075859353,0.007249305,0.0069745625,0.0068075117,0.006778762,0.0069100414,0.0072394256,0.007821977,0.008697712,0.009865508,0.011261317,0.012803659,0.014412285,0.01608452,0.017856935,0.0198058,0.02194988,0.024279507,0.026732365,0.029200464,0.03136535,0.032655288,0.03414919,0.041121993,0.06498348,0.115820624,0.19321233,0.27911678,0.34954712,0.38849714,0.39805207,0.38933912,0.37270054,0.35159588,0.32650372,0.29699862,0.26303998,0.22534026,0.19014241,0.17015533,0.17942737,0.22074132,0.28083342,0.3369975,0.37305963,0.3853543,0.37912938,0.35781416,0.32412812,0.28376007,0.2511212,0.24244666,0.26773095,0.32427052,0.3971372,0.4653904,0.5074022,0.51144683,0.48031798,0.43250263,0.388954,0.36107674,0.3463014,0.33836046,0.33626676,0.34344244,0.35755345,0.36776876,0.36168614,0.33572868,0.29725787,0.26099363,0.2443083,0.25980842,0.30763295,0.37001336,0.42150906,0.44411024,0.4388349,0.4198728,0.4015822,0.38970444,0.38214067,0.37613177,0.36963058,0.36090112,0.34692177,0.32776764,0.30960897,0.30210868,0.3134674,0.34493414,0.3918191,0.44144762,0.47771457,0.48600662,0.464986,0.4263649,0.3883588,0.36240277,0.3506978,0.34841445,0.34930483,0.346872,0.33616093,0.3161721,0.29232267,0.27525008,0.2747774,0.29432824,0.3286169,0.36789283,0.40131152,0.4199439,0.41858387,0.4001831,0.37706652,0.3641993,0.36902857,0.3860611,0.40461493,0.41792884,0.4283478,0.44006085,0.45408294,0.46597552,0.47189203,0.47110894,0.46835658,0.47085643,0.48474216,0.5058159,0.51850027,0.5040625,0.45990005,0.40407753,0.36417428,0.35575685,0.37606308,0.4097725,0.43977162,0.45107272,0.4345614,0.3922702,0.339921,0.30053994,0.28906024,0.30583194,0.33826098,0.3751701,0.40914646,0.4366281,0.45165157,0.45089388,0.4386669,0.42593408,0.42316595,0.43029758,0.44115993,0.44537833,0.43703413,0.41036975,0.36778998,0.31941822,0.2857856,0.28231442,0.31210124,0.36326292,0.4214745,0.47403207,0.51145774,0.5250309,0.51435536,0.48936343,0.4664882,0.45506117,0.45410463,0.4564763,0.45730415,0.45393607,0.44278243,0.4196281,0.3843182,0.34328985,0.3051854,0.2758669,0.259715,0.26344147,0.29379818,0.3476421,0.40803763,0.45305678,0.47031918,0.46166492,0.43781975,0.4103987,0.3900489,0.3840796,0.39431623,0.4139458,0.43200228,0.43969953,0.43577376,0.42446676,0.41260603,0.4068115,0.4148976,0.439697,0.47607526,0.5075581,0.52120924,0.5150343,0.5016429,0.4929221,0.4937171,0.49983644,0.50587374,0.5053684,0.49115852,0.45595658,0.40090743,0.33912095,0.29065502,0.26882875,0.27321663,0.295457,0.3272008,0.36340174,0.3972335,0.42257488,0.43574703,0.43759772,0.4296696,0.4150078,0.40077808,0.39442,0.39719513,0.39974412,0.39194152,0.37101158,0.34453854,0.321616,0.30940023,0.31268623,0.33776927,0.38389328,0.43806776,0.47477555,0.4775466,0.45101854,0.4209478,0.4099866,0.42444083,0.45233998,0.47884092,0.49334323,0.49217463,0.4728311,0.4346969,0.3812712,0.32408488,0.27991572,0.2625989,0.27742887,0.31780913,0.37054214,0.417617,0.4458623,0.4492278,0.43257856,0.40467945,0.37586746,0.35576737,0.35277307,0.36956525,0.39980325,0.43104076,0.45368433,0.46603575,0.4735711,0.48189664,0.49442673,0.5120531,0.53180784,0.5452611,0.53966707,0.50974536,0.46263835,0.41528264,0.38056168,0.36310557,0.36090913,0.37021482,0.38209394,0.3832138,0.36062726,0.31516412,0.26230592,0.22550325,0.21889575,0.24205446,0.2837583,0.3323246,0.3793237,0.41538417,0.43187225,0.42469385,0.40293893,0.38188043,0.3759154,0.38760254,0.41158321,0.43671194,0.45255908,0.44799006,0.4168385,0.3625312,0.3029736,0.26259372,0.2600236,0.2991015,0.3682271,0.44559303,0.50491476,0.52760994,0.51143676,0.4727391,0.43370762,0.4095951,0.40290964,0.40729752,0.4150981,0.4203112,0.42016137,0.41240665,0.3969172,0.37553108,0.35390517,0.33984616,0.34198847,0.36469638,0.4029424,0.44051385,0.45876434,0.44848022,0.41711214,0.38293377,0.36488512,0.3721039,0.4007633,0.43584752,0.46001947,0.46357313,0.4501371,0.43352577,0.4270548,0.43605343,0.45638838,0.48257384,0.5098397,0.5335514,0.5444243,0.53503555,0.50694436,0.47299513,0.44752678,0.43685475,0.43694127,0.4387441,0.43264556,0.41216025,0.3762096,0.3328384,0.29730153,0.28290173,0.29220423,0.31427193,0.33820757,0.35960162,0.38322672,0.40828562,0.4285445,0.43543914,0.43071413,0.42380443,0.42551753,0.4392222,0.45973888,0.4758923,0.4757947,0.45275402,0.40998682,0.35914347,0.31328705,0.28029284,0.26343355,0.2678131,0.29836035,0.3518642,0.40849292,0.44338644,0.4430553,0.4157815,0.38068435,0.354337,0.34302655,0.34717485,0.3632917,0.3853315,0.40206167,0.40232053,0.3814017,0.3491336,0.32608515,0.33138755,0.36763763,0.41848227,0.45981324,0.47576806,0.46677008,0.4459138,0.4293752,0.42695606,0.4391755,0.45881554,0.47667754,0.48408008,0.47626054,0.45356497,0.42390195,0.39916635,0.38900697,0.39589572,0.41618612,0.44521812,0.47764626,0.50535697,0.5173071,0.507066,0.48103285,0.45503318,0.4435583,0.44771564,0.45898095,0.46711636,0.46814433,0.4611527,0.4444277,0.41554835,0.3759829,0.33289322,0.2957379,0.2718921,0.2675517,0.2862274,0.32579473,0.3713509,0.40255013,0.4051248,0.38276187,0.35061726,0.32417527,0.30996716,0.3072277,0.31087762,0.3139892,0.3100009,0.29838324,0.28792155,0.29011416,0.3084538,0.3335738,0.35661396,0.379037,0.41084984,0.45269975,0.49086142,0.5089964,0.5014505,0.47582176,0.4417406,0.4096644,0.38781297,0.3823303,0.388821,0.39511856,0.3888524,0.3685596,0.34219137,0.32150045,0.3135878,0.3222827,0.34708872,0.38493475,0.42628193,0.4589533,0.47268525,0.46701738,0.45159125,0.44006738,0.4396576,0.4464753,0.45069185,0.4462236,0.43510637,0.42393413,0.41934848,0.42441967,0.4393654,0.4601861,0.48394302,0.5088632,0.53426296,0.5533132,0.5560873,0.53726953,0.50460345,0.47328767,0.45538583,0.45192125,0.45670545,0.46171483,0.46129766,0.45201245,0.4333581,0.4081336,0.38091406,0.35645404,0.3389145,0.3338587,0.3461249,0.37497607,0.40992904,0.43604806,0.44515863,0.44213066,0.4391164,0.4437276,0.4536933,0.46233916,0.46490696,0.46053421,0.4464778,0.4183208,0.3732253,0.318836,0.27395838,0.2624521,0.29913568,0.37900472,0.4752051,0.55195516,0.5829206,0.5676686,0.5289799,0.49762312,0.49140123,0.5083766,0.5334465,0.5505679,0.54916096,0.52363336,0.47368717,0.40699124,0.34032163,0.28984907,0.26288056,0.2552126,0.2659607,0.29766044,0.35202911,0.41288146,0.4579431,0.4710697,0.45746863,0.43174872,0.40876862,0.39609265,0.3979883,0.41506472,0.4429549,0.47282967,0.49698797,0.51343733,0.52368265,0.52816486,0.52493507,0.51693505,0.51177454,0.51741916,0.52971673,0.53862405,0.5358774,0.5243756,0.50910103,0.49125397,0.46906912,0.4460387,0.43188658,0.4336512,0.44770774,0.46148703,0.46383217,0.45284817,0.43570697,0.42182016,0.41853413,0.42710206,0.44352558,0.45727894,0.45885924,0.44433296,0.42005682,0.39625058,0.3811469,0.37674055,0.38029376,0.3870908,0.39250645,0.3947333,0.39630604,0.40252578,0.4160186,0.43433967,0.4528772,0.47202203,0.49385667,0.51766664,0.5332263,0.5316842,0.51121306,0.48246193,0.4571588,0.44301417,0.43820152,0.4363958,0.42868376,0.4084009,0.37370518,0.3313626,0.29720238,0.28683203,0.30677736,0.34638393,0.38983604,0.42247912,0.44015384,0.44090888,0.42839622,0.40932906,0.39555418,0.3943076,0.4045975,0.41877556,0.4304831,0.43859825,0.44480404,0.4501165,0.453745,0.45532462,0.45590678,0.45820844,0.4660313,0.48400187,0.51267976,0.544112,0.56224436,0.5549961,0.5248323,0.48741946,0.4587138,0.44538927,0.4478338,0.46531472,0.49464786,0.5243738,0.53785414,0.52580273,0.49439636,0.4597888,0.43518662,0.4260056,0.43416277,0.4602189,0.49845377,0.5322969,0.54346734,0.5252419,0.488438,0.45116416,0.42839536,0.42771816,0.45195094,0.49518672,0.54108644,0.56630087,0.5580638,0.5216907,0.47739387,0.44330063,0.42899457,0.43684685,0.4652158,0.5049207,0.5370932,0.54242724,0.51588136,0.47048727,0.42755046,0.40208903,0.400305,0.42194024,0.4610021,0.50313973,0.52838725,0.5242225,0.4934714,0.45241776,0.41835356,0.4030745,0.41235843,0.44573188,0.49295926,0.53398854,0.5498325,0.53614545,0.50588095,0.47830987,0.4665283,0.47434595,0.50038177,0.53729385,0.57150596,0.58479637,0.56900144,0.5309132,0.49004576,0.4623176,0.45465204,0.465248,0.48926795,0.51764953,0.5376551,0.5378659,0.51799893,0.4889681,0.4656565,0.45591453,0.46103242,0.47921228,0.50789,0.53979117,0.56234115,0.56466216,0.5455139,0.5145311,0.4852608,0.4682822,0.4692104,0.48788872,0.51757497,0.54455847,0.55514413,0.54462934,0.52101064,0.49795803,0.4847771,0.48304018,0.49058875,0.50491494,0.52138585,0.5314141,0.5264349,0.5052668,0.47538748,0.44800186,0.4310652,0.4282197,0.43963555,0.4615208,0.48489276,0.49645066,0.48785746,0.46197483,0.43443254,0.41993666,0.4218688,0.42904928,0.42735657,0.40905604,0.37412396,0.32705677,0.27540514,0.23289955,0.21217662,0.21685301,0.23534189,0.2529157,0.26123783,0.26233652,0.2596605,0.2544238,0.24582058,0.23485953,0.22428538,0.21829289,0.22096853,0.23478852,0.2577952,0.28418562,0.30672416,0.31990874,0.3202349,0.307879,0.28994253,0.2830435,0.30550084,0.36273098,0.43725476,0.49817798,0.5231867,0.5129768,0.4864366,0.4623649,0.4486822,0.44038343,0.4278139,0.40095174,0.35792032,0.30611363,0.26368824,0.24704814,0.26263544,0.29967144,0.34025565,0.3689803,0.38109422,0.37832353,0.3632158,0.33788195,0.30610168,0.2762455,0.25514904,0.24482782,0.24009788,0.23555891,0.22771,0.21533531,0.19739886,0.1765017,0.1624945,0.16824877,0.19925968,0.24461682,0.28404856,0.30048648,0.29288635,0.27200708,0.2518532,0.23910052,0.23303615,0.22956236,0.22620584,0.22385849,0.22455843,0.22922331,0.23544729,0.23925985,0.23780613,0.23266037,0.22751229,0.22509581,0.2239904,0.22340511,0.22480474,0.23222648,0.2450891,0.2589336,0.26767436,0.27015296,0.2685975,0.26695374,0.2672899,0.270954,0.27808687,0.28778866,0.29600355,0.29751578,0.28928515,0.2742287,0.2611412,0.2620403,0.28909916,0.34613302,0.4219791,0.4894531,0.52323705,0.51617384,0.4835696,0.44562736,0.41214558,0.38034788,0.3465104,0.31420824,0.292727,0.2869083,0.29179958,0.29330015,0.278687,0.24493076,0.2040499,0.17687349,0.18008864,0.21453752,0.2641669,0.3085281,0.33365312,0.33548808,0.31445587,0.27434233,0.22561961,0.18526115,0.16856365,0.17828183,0.20500736,0.23624797,0.26438257,0.28485453,0.29095018,0.27784196,0.2507586,0.2285553,0.22878306,0.25456855,0.28971878,0.31501326,0.3181307,0.29945853,0.26580903,0.23043376,0.20705728,0.20213006,0.20573957,0.20095342,0.18107615,0.16227244,0.16793616,0.20746386,0.26356602,0.3087473,0.32408905,0.3094671,0.27595398,0.2382626,0.21108784,0.2067967,0.22942622,0.2717315,0.3195063,0.3629601,0.39832595,0.42367768,0.43050608,0.411971,0.3733797,0.33570564,0.3207262,0.33512425,0.3725874,0.42044005,0.46769658,0.49778685,0.49880758,0.47159466,0.43715468,0.41799018,0.4215536,0.43550947,0.44184875,0.42970696,0.39939567,0.35649773,0.3081673,0.26126418,0.22334684,0.19855489,0.1859187,0.18211015,0.18914624,0.21316326,0.25557446,0.30450356,0.3425285,0.35904512,0.35650483,0.34183165,0.31942913,0.29368415,0.27388728,0.27082416,0.28442672,0.30218086,0.3088327,0.3002396,0.28172198,0.2592747,0.23222864,0.20040314,0.17085516,0.15853697,0.1726563,0.2070753,0.24056478,0.25292823,0.24039732,0.22065468,0.21895587,0.24767224,0.2938634,0.3289083,0.3315442,0.30399767,0.2667825,0.23773493,0.21941227,0.20412803,0.1901868,0.18725164,0.2061214,0.24548642,0.28959706,0.32030308,0.3264768,0.30964366,0.2788094,0.24862473,0.2296338,0.224943,0.22647937,0.22593445,0.22163828,0.22096503,0.23196942,0.25806198,0.3019621,0.3643596,0.44062486,0.5097087,0.5479303,0.544713,0.515517,0.4861087,0.47446868,0.48355564,0.507963,0.53917027,0.5650545,0.5718989,0.554998,0.5241335,0.49877477,0.49236393,0.5068225,0.53511816,0.5689946,0.5969281,0.6054982,0.58435345,0.54013985,0.49417594,0.46972433,0.47345647,0.49553347,0.52305347,0.54879683,0.5714851,0.5851229,0.5854024,0.57235044,0.55604726,0.5444024,0.54047734,0.54322284,0.55383396,0.57209176,0.5903812,0.59531975,0.5785915,0.5462241,0.5146997,0.4994855,0.50536364,0.52783436,0.5568783,0.580669,0.58665544,0.56850517,0.5326311,0.49693808,0.47940755,0.4863821,0.51219696,0.5454417,0.575056,0.59123486,0.5873647,0.5650852,0.5359383,0.5150315,0.51033,0.5180915,0.52933913,0.536807,0.5400138,0.5410212,0.5437589,0.5497585,0.5595153,0.57086664,0.58255404,0.594001,0.60431314,0.6076564,0.5946642,0.55966294,0.5089512,0.45870557,0.42320585,0.40568867,0.3995248,0.3985424,0.40047774,0.40634814,0.41445115,0.42292997,0.43033278,0.43815804,0.4476417,0.4596243,0.47353745,0.48661658,0.492373,0.48166576,0.44855666,0.39598396,0.33679116,0.28868917,0.26630878,0.2754477,0.31068945,0.35868177,0.40507063,0.4407295,0.4650478,0.4827673,0.4996053,0.51716703,0.5337812,0.5487339,0.5640786,0.57943773,0.586723,0.57428354,0.5395036,0.49169907,0.44442883,0.40372252,0.37114564,0.3508499,0.3509059,0.37384692,0.41000056,0.44394705,0.46529734,0.47553113,0.48117945,0.48797908,0.49615136,0.5046111,0.50956446,0.50526494,0.4841055,0.44571635,0.40100026,0.36810842,0.35923183,0.37322974,0.39936355,0.4256486,0.44488993,0.45376697,0.45306233,0.4465408,0.44088128,0.4427836,0.45707986,0.48476052,0.52224106,0.55865073,0.5812595,0.57945615,0.55569345,0.51671267,0.47072968,0.4181396,0.36413455,0.32099462,0.30621397,0.3271296,0.37415394,0.42823777,0.4731562,0.5051655,0.52845424,0.5494618,0.56876737,0.5813175,0.5788448,0.55712706,0.5188547,0.47206202,0.42589566,0.3890694,0.3700637,0.3731118,0.39482236,0.4242568,0.45215556,0.47433928,0.4926026,0.507593,0.52012825,0.5296934,0.539249,0.5519379,0.5720412,0.5951066,0.60956,0.59717244,0.55200773,0.48093352,0.40302,0.33166918,0.2762548,0.24331813,0.24155696,0.2734409,0.32913482,0.38974738,0.43834117,0.46986297,0.48942629,0.5053877,0.52174616,0.5363622,0.5415971,0.5267426,0.48410428,0.41762945,0.34844455,0.30547392,0.30812117,0.3512158,0.41095814,0.46161377,0.49125138,0.502328,0.5026102,0.50011206,0.500565,0.5095032,0.52774596,0.551797,0.575938,0.59457827,0.6026061,0.59301066,0.5640274,0.52158535,0.47753128,0.4392871,0.40649465,0.37953174,0.3643949,0.37104824,0.40021423,0.44228733,0.48291263,0.51363546,0.5331783,0.5441475,0.54960614,0.5517887,0.5512212,0.54482776,0.5277516,0.4974551,0.45924047,0.42568937,0.41083166,0.42109492,0.4497045,0.48142228,0.50210947,0.5085427,0.50600404,0.5024752,0.5017423,0.50417924,0.5090932,0.5169762,0.52919227,0.5427249,0.54925495,0.53766537,0.5066038,0.46628138,0.43216372,0.41083744,0.3990241,0.39218274,0.39251614,0.40636432,0.4350228,0.47166768,0.5058628,0.5314819,0.54880315,0.5620653,0.5739594,0.58285475,0.58090216,0.557661,0.50619024,0.4317011,0.35353568,0.29865897,0.28751767,0.3219522,0.3833344,0.44428173,0.48465538,0.50089836,0.50195724,0.49966642,0.501239,0.50825304,0.51894623,0.53110546,0.5440693,0.5562951,0.5630546,0.55498344,0.5270931,0.4838333,0.43887177,0.40117517,0.3700159,0.34074047,0.31870732,0.31780103,0.34711382,0.39786088,0.4501028,0.4867262,0.50450504,0.5101366,0.51313996,0.5192046,0.5274767,0.5317803,0.52282304,0.4958777,0.45344558,0.40902463,0.37896433,0.37548497,0.39630046,0.42920884,0.45982644,0.48194972,0.49633813,0.50708467,0.5171613,0.52726245,0.5360462,0.54132557,0.54435015,0.54828995,0.5548637,0.5586725,0.5517569,0.52959424,0.4941746,0.4504585,0.40386942,0.36284912,0.33923915,0.34323457,0.3745,0.42042002,0.46387044,0.49415934,0.51153094,0.5219807,0.52997655,0.53544974,0.535178,0.5246894,0.49907768,0.4573228,0.4067718,0.3637228,0.34523496,0.35799524,0.3944132,0.43810263,0.47587237,0.5029911,0.52161855,0.5348927,0.5451326,0.55399376,0.56184775,0.56743544,0.5698035,0.57135326,0.5736644,0.5736944,0.56287026,0.53840506,0.50615877,0.47787765,0.45902932,0.44830728,0.4412535,0.4363409,0.43375733,0.4332786,0.43339697,0.43273962,0.4313028,0.43061665,0.43317378,0.44136193,0.45444712,0.46726727,0.470858,0.4602231,0.4393096,0.42099044,0.41664264,0.42838466,0.44883323,0.46961865,0.48683307,0.5004044,0.5091451,0.51143056,0.5080716,0.5052574,0.5093046,0.52218837,0.53877133,0.5511715,0.55076116,0.53247386,0.49667668,0.45386878,0.41903698,0.40369555,0.40665376,0.41806284,0.42828777,0.43498573,0.4414332,0.44999054,0.45846954,0.46187052,0.45709598,0.44740346,0.44033098,0.4438947,0.4590886,0.47901776,0.491461,0.48714623,0.46520784,0.4325284,0.3999939,0.3766178,0.3694038,0.37989005,0.40528882,0.43712255,0.46752432,0.491894,0.51165503,0.5293594,0.545757,0.5580154,0.5634274,0.5611951,0.55052215,0.5292806,0.4952316,0.45290673,0.4102371,0.37263286,0.33653307,0.29817492,0.26470757,0.25301376,0.27640262,0.32899213,0.3915931,0.44436896,0.48086143,0.50435877,0.52058053,0.5316842,0.53646106,0.5343215,0.5256746,0.5140262,0.5034509,0.49831006,0.50039554,0.50808406,0.51711786,0.5222201,0.520855,0.5135475,0.50395566,0.49625137,0.49416408,0.49942562,0.51110953,0.5264868,0.54331034,0.5603471,0.5734627,0.5738537,0.5514457,0.50553435,0.44738317,0.3976015,0.3731781,0.3819882,0.41728607,0.46451816,0.5071823,0.53678817,0.55270624,0.55981493,0.5626164,0.56401676,0.5647216,0.5644601,0.56189996,0.5548124,0.53932095,0.51125354,0.46976188,0.42219532,0.3846387,0.37367725,0.3946512,0.43553066,0.47640833,0.5031737,0.5161924,0.52330714,0.5320639,0.54356307,0.5561042,0.5672774,0.5778865,0.5900411,0.6028252,0.6089551,0.59795576,0.567197,0.5235234,0.4772961,0.43202385,0.38826928,0.35271773,0.33949992,0.35891166,0.40541232,0.46131194,0.50890344,0.54007196,0.55447465,0.5552304,0.5476486,0.53925055,0.5348889,0.53219247,0.5226907,0.5022854,0.47705224,0.46060324,0.46251476,0.4808359,0.50354165,0.5168723,0.51413554,0.4981127,0.47822794,0.46478638,0.46457505,0.47876588,0.5041857,0.53509164,0.5664818,0.5904618,0.5981467,0.5804908,0.540795,0.49355844,0.45743167,0.43935812,0.4329714,0.429145,0.4258016,0.42826653,0.43968406,0.45775056,0.47736374,0.4959174,0.51359725,0.53094923,0.54677635,0.5578452,0.5568935,0.534757,0.48588887,0.41955388,0.3602819,0.3359299,0.3571228,0.40993127,0.4668254,0.5069135,0.525394,0.5283096,0.52236253,0.5115265,0.50029236,0.49405578,0.4968535,0.5079105,0.5257701,0.54815865,0.5718718,0.58776283,0.58834416,0.5732598,0.55271405,0.53618276,0.5247795,0.51035887,0.48384324,0.44263503,0.39097485,0.3380388,0.2927235,0.26287684,0.25119126,0.2553334,0.2672104,0.27877593,0.28542364,0.2874367,0.28631994,0.28223875,0.27586156,0.27004126,0.26970255,0.275759,0.28411058,0.28785744,0.2837536,0.27266333,0.2582631,0.24421918,0.23477376,0.23201,0.23516822,0.23988724,0.24435133,0.25125137,0.26650488,0.29165375,0.31998384,0.3380977,0.33331323,0.30117482,0.24968569,0.19627942,0.16042359,0.15368181,0.17513233,0.21195303,0.24641216,0.26443192,0.26178032,0.24413256,0.22071745,0.1979546,0.17723203,0.1574961,0.13790642,0.118657716,0.10137237,0.09002372,0.09082805,0.10858015,0.14180194,0.1809022,0.2123254,0.22503424,0.21533054,0.18716574,0.15004018,0.11555406,0.09403255,0.09073403,0.1035768,0.1238899,0.1414795,0.15066604,0.15250151,0.1517363,0.15154779,0.15185809,0.15057904,0.14667754,0.14167096,0.14001644,0.14683656,0.16250782,0.17951751,0.18523549,0.17250343,0.14546125,0.116802126,0.097047,0.08908284,0.089709975,0.09502223,0.10212921,0.10847504,0.11131424,0.11052308,0.11040468,0.11908686,0.1409574,0.1709979,0.19426852,0.19757037,0.17945535,0.15202244,0.12992145,0.120409034,0.120975375,0.12494206,0.12673439,0.1241444,0.117364384,0.108022325,0.09782258,0.08830353,0.080210656,0.07366726,0.068061,0.06284342,0.057814907,0.053294655,0.049463075,0.046208665,0.04325418,0.040610086,0.03862514,0.037674934,0.03780366,0.038594883,0.03942576,0.03974676,0.039362296,0.03834886,0.03699666,0.03551962,0.034069996,0.03262881,0.031171815,0.02964216,0.028046222,0.026407724,0.024778968,0.023225145,0.021793539,0.020534366,0.019474173,0.018673798,0.018149288,0.01785562,0.017608188,0.017195558,0.01645644,0.015389883,0.014105406,0.012782123,0.011574679,0.010585974,0.009812444,0.009177485,0.008568633,0.007933342,0.007281232,0.006665342,0.006118259,0.0056528323,0.0052723237,0.0049834475,0.004785756,0.004657012,0.0045634196,0.0044681295,0.0043482776,0.0041803475,0.003936615,0.0035831362,0.0031080616,0.0025430995,0.001975236,0.0015293405,0.0013264124]