[0.17235267,0.17473923,0.18027551,0.18656975,0.18945713,0.18492556,0.172845,0.15672965,0.14144824,0.12980913,0.122366875,0.118157916,0.11588239,0.11422671,0.112373896,0.110262275,0.10834033,0.10675982,0.1052188,0.10277595,0.09877791,0.0929855,0.087354206,0.08523634,0.090789,0.104505025,0.12302959,0.13931407,0.14908761,0.15170603,0.15105397,0.14928015,0.14683336,0.14156936,0.1334521,0.1242835,0.11753261,0.11504666,0.11586385,0.11748689,0.117982395,0.11755419,0.11687055,0.11621454,0.114987046,0.1131005,0.111082494,0.11057895,0.11352547,0.121759,0.13491873,0.14997198,0.16197355,0.16712035,0.16513956,0.15917946,0.15403993,0.15266941,0.15555553,0.16056825,0.16564226,0.16883571,0.16876523,0.16418852,0.15511738,0.14346571,0.13202251,0.123289414,0.11844748,0.11812206,0.12211603,0.12902385,0.13604067,0.14054121,0.14221005,0.14338858,0.14758235,0.15716605,0.17148559,0.18715443,0.19925626,0.20515954,0.20555544,0.20413516,0.20429277,0.20654927,0.20846671,0.2055269,0.19647557,0.18480206,0.17936224,0.18642206,0.20555925,0.22817437,0.24457358,0.24942325,0.24442281,0.23502332,0.2258573,0.21751823,0.20714004,0.1920679,0.17333607,0.15626107,0.14680333,0.14781801,0.15621819,0.16585648,0.17013709,0.16771187,0.16120516,0.15632747,0.15514153,0.1561362,0.15451127,0.14803612,0.13812684,0.12980272,0.12730575,0.13162993,0.14017728,0.14905317,0.15592027,0.16022165,0.16336052,0.16634458,0.16950804,0.17142586,0.17120196,0.17023814,0.17162864,0.17782234,0.18694443,0.19514503,0.19830664,0.1960272,0.19074012,0.18671258,0.18679456,0.19012652,0.19294739,0.19173603,0.18685462,0.18193252,0.18063349,0.18353409,0.18839544,0.19254732,0.19473745,0.19506669,0.19406015,0.19214989,0.18904519,0.18369083,0.17477466,0.16312228,0.15290172,0.14993495,0.15775424,0.17366011,0.19053793,0.20031749,0.19990534,0.1904824,0.17555319,0.15667835,0.13479568,0.11302331,0.0989225,0.10065236,0.120753326,0.15204214,0.18170767,0.1987349,0.20050848,0.19158256,0.17967223,0.17021246,0.16545117,0.16403683,0.16323155,0.15999733,0.15352668,0.14528906,0.1380993,0.13345732,0.13119186,0.13040835,0.13162772,0.13624091,0.14486985,0.15561111,0.16458414,0.16872174,0.16703385,0.16114402,0.15285712,0.1436255,0.13415319,0.12507527,0.11790203,0.114146195,0.11587935,0.12313715,0.1350216,0.14887094,0.16298808,0.1753053,0.18370189,0.1854503,0.18047452,0.17203735,0.16547455,0.163984,0.16688834,0.17111248,0.17333692,0.17270164,0.17053403,0.17159444,0.18132164,0.20313315,0.23302472,0.2611104,0.27765647,0.2821281,0.2828636,0.28899255,0.30125836,0.3108482,0.3084447,0.29175833,0.2696128,0.2540065,0.2528967,0.26331443,0.275483,0.27856073,0.26808074,0.24535145,0.21616006,0.18611638,0.16078289,0.14433348,0.1391715,0.1442687,0.15424676,0.16280158,0.16562994,0.16420336,0.16380762,0.17039426,0.18649586,0.20873564,0.23010658,0.24323897,0.24671824,0.24378414,0.24001026,0.23653172,0.23103148,0.2194516,0.2012517,0.17939448,0.15901645,0.14370912,0.13459688,0.13106842,0.13277231,0.1394912,0.14984004,0.16045511,0.16719161,0.1679877,0.16351847,0.15660936,0.14939557,0.14253952,0.13546696,0.12805666,0.12221458,0.121345885,0.12893434,0.14531684,0.1671112,0.18867232,0.2055348,0.21596901,0.21953668,0.21585922,0.20527904,0.19108933,0.17900406,0.17390853,0.17633341,0.18266167,0.18752031,0.18828784,0.1863751,0.18775125,0.19861633,0.22165267,0.2516049,0.27833524,0.293368,0.29817748,0.30160466,0.3108816,0.3229001,0.3269414,0.31580096,0.2924241,0.26921105,0.25775626,0.2628244,0.27904108,0.2952067,0.30021927,0.28876773,0.2633271,0.23120384,0.20113015,0.18017828,0.17277019,0.17815922,0.19075282,0.20163463,0.20500857,0.19998486,0.1914192,0.18537664,0.18704583,0.19782884,0.21438403,0.23056418,0.24069531,0.2439745,0.24191077,0.23616396,0.22570752,0.21037573,0.19207476,0.17462061,0.16071068,0.15081598,0.14423113,0.14029239,0.13887618,0.139371,0.14078206,0.14255394,0.14551513,0.15072668,0.1575944,0.16343468,0.16588737,0.1655578,0.16607152,0.17183979,0.18561971,0.20859529,0.23929961,0.27285385,0.3007307,0.31650355,0.32117605,0.3232822,0.3298956,0.33981895,0.3431451,0.33183125,0.3061851,0.27781418,0.26039305,0.26197633,0.2784146,0.2971232,0.3045536,0.29404104,0.26744804,0.23243225,0.1980521,0.17239814,0.1607147,0.16339512,0.17586876,0.18960513,0.19802828,0.19859172,0.19519632,0.19398324,0.20068826,0.21697414,0.23920839,0.26051697,0.27351332,0.27559623,0.26825678,0.2563241,0.24405634,0.23492146,0.23081635,0.23146649,0.23450507,0.23585944,0.23282711,0.22472717,0.21374358,0.20228796,0.19156982,0.1799954,0.16383457,0.13967796,0.10753843,0.07485664,0.05523326,0.064293705,0.10798385,0.1774208,0.25044945,0.30742368,0.3414341,0.35831642,0.3655927,0.36657083,0.36587846,0.37470832,0.40799668,0.47162208,0.5549136,0.63634413,0.6961114,0.7274449,0.73521996,0.73114896,0.7271323,0.731294,0.74402857,0.7565469,0.7576211,0.74280626,0.7193403,0.6997902,0.69264346,0.69705373,0.705571,0.7094919,0.7041592,0.6902639,0.6734717,0.66020244,0.65569824,0.6618984,0.6790102,0.70385104,0.7300914,0.7493143,0.7563345,0.7523377,0.7430842,0.7347706,0.7303845,0.7305866,0.7337745,0.7385283,0.7435784,0.750357,0.7609878,0.77837044,0.8015955,0.8272839,0.8473056,0.8547592,0.8443118,0.8189364,0.7867028,0.7591978,0.7424645,0.73505807,0.7305519,0.72397757,0.71624804,0.7097935,0.7071875,0.70731,0.71050763,0.71602815,0.7241915,0.7339309,0.74549127,0.7596671,0.77472585,0.78610873,0.78674847,0.7747571,0.75349265,0.7312569,0.7141499,0.70329905,0.6955664,0.68785185,0.6822998,0.6841255,0.69679546,0.7163916,0.7353646,0.74878454,0.7578102,0.76491374,0.7686527,0.76541424,0.75571686,0.7485163,0.7536424,0.77279425,0.7939835,0.80128723,0.78604364,0.7553435,0.7249341,0.709758,0.7122962,0.724653,0.7331162,0.7306983,0.7190786,0.70733386,0.702285,0.7058387,0.71537536,0.7276397,0.7386446,0.7437356,0.74032474,0.73149824,0.7257648,0.729443,0.7406733,0.74860317,0.7438753,0.72800875,0.7164417,0.7243378,0.7524695,0.78331786,0.79765743,0.78957254,0.769085,0.7498849,0.73973703,0.7384248,0.74206513,0.74540573,0.744307,0.7355582,0.71873623,0.6954941,0.67017514,0.6492395,0.6390545,0.6451861,0.6680023,0.7035659,0.74102944,0.7696033,0.78245807,0.78289634,0.7786806,0.77620214,0.7747257,0.7709432,0.7629111,0.7536692,0.7479337,0.7508182,0.7640438,0.78644896,0.8128763,0.83874863,0.86060506,0.8768218,0.88376206,0.87735945,0.85653085,0.82680994,0.7965536,0.7718401,0.7527035,0.73803955,0.72677284,0.7202198,0.71682596,0.7164075,0.7187032,0.7266865,0.7390078,0.752131,0.7609184,0.7652044,0.7677422,0.77030367,0.77217364,0.7717731,0.7716398,0.7751475,0.78292084,0.7892626,0.78672147,0.7723179,0.7509654,0.732228,0.72457916,0.72858256,0.7388378,0.74769217,0.7530134,0.7555608,0.75534695,0.7487456,0.73484874,0.72034043,0.71751326,0.73237735,0.75860566,0.78049237,0.78730255,0.7796815,0.76720285,0.75761634,0.7527072,0.7501703,0.74770707,0.74347967,0.7359374,0.7251856,0.71403575,0.7068224,0.70567673,0.7101927,0.71693116,0.7223416,0.7224386,0.71735615,0.710785,0.7099872,0.7168875,0.72569513,0.72494,0.7114268,0.6965439,0.6997349,0.7288992,0.7704544,0.79976106,0.8010593,0.7778487,0.7434712,0.710377,0.6837595,0.6664167,0.65786296,0.6545312,0.64772654,0.6284952,0.5908658,0.5356614,0.4710629,0.4113709,0.36990705,0.35106158,0.34792745,0.34959504,0.350157,0.35111213,0.35540012,0.36187056,0.36518762,0.36162874,0.35282776,0.3442947,0.3403859,0.34039012,0.34056485,0.33737925,0.33213004,0.32897934,0.33201662,0.33951747,0.34551287,0.3447239,0.33779705,0.33059555,0.3270633,0.3269337,0.3253542,0.32070196,0.31532863,0.3161955,0.32726094,0.3469112,0.36790562,0.38397655,0.39371958,0.3993101,0.40186182,0.39898753,0.38841054,0.37188172,0.35648057,0.34896374,0.35135725,0.35904884,0.36690202,0.37232575,0.37658608,0.37918457,0.37779257,0.37001988,0.35833132,0.34809497,0.34298137,0.34151947,0.3392329,0.3338711,0.32687828,0.32242584,0.32290623,0.3283211,0.33566296,0.3419623,0.34508428,0.34565878,0.34582558,0.34887293,0.35588077,0.3655795,0.37264612,0.37174976,0.35921156,0.33820662,0.31664506,0.30420765,0.30465052,0.314667,0.326529,0.3348255,0.33906388,0.34198198,0.34534088,0.3481176,0.34796032,0.34430102,0.33871484,0.33377242,0.3300036,0.32669127,0.322152,0.31704733,0.31289032,0.31255665,0.31604192,0.3216375,0.32569936,0.3266444,0.3252479,0.32268608,0.31905207,0.31219742,0.30310988,0.29548553,0.29603013,0.3066901,0.32431316,0.3415259,0.3540009,0.36178848,0.3677659,0.37231255,0.37278974,0.36593089,0.35283387,0.33952856,0.33305034,0.3360975,0.34399697,0.35079885,0.3523904,0.35071644,0.3464485,0.34007946,0.33017516,0.319599,0.31203905,0.31088507,0.31501183,0.32137397,0.326257,0.3282877,0.3280826,0.3281113,0.3304,0.33465335,0.33811525,0.33724228,0.33217847,0.32693398,0.3281852,0.33829224,0.3543358,0.36826488,0.3739252,0.3687522,0.35565898,0.33859885,0.32191828,0.3059574,0.28870368,0.2634692,0.22582744,0.1748965,0.11996659,0.07462981,0.05429704,0.06575472,0.105775036,0.15952161,0.20994473,0.24489701,0.26264313,0.2678713,0.26672658,0.26297703,0.2579023,0.25088343,0.2410176,0.22903432,0.21837373,0.21300185,0.21384448,0.21684544,0.21629752,0.20978887,0.20185822,0.19952475,0.20675541,0.21964495,0.23186159,0.24044079,0.2500013,0.26670194,0.29151538,0.3161277,0.3293804,0.32492784,0.30759993,0.28802454,0.27677944,0.276474,0.28505757,0.297406,0.31049314,0.32138228,0.3286966,0.33260956,0.3353485,0.339062,0.3425711,0.3419161,0.33220908,0.31250462,0.28748658,0.26663986,0.25803885,0.26345432,0.27759635,0.29287326,0.30492237,0.3144141,0.3269801,0.3482605,0.3795195,0.41250047,0.4328618,0.4307361,0.40978542,0.38707814,0.37745443,0.3835856,0.39366254,0.39564693,0.38539925,0.36963752,0.35765794,0.35539868,0.3626779,0.37616026,0.3911372,0.40051365,0.39325166,0.3606473,0.3052527,0.2453037,0.20271318,0.18902223,0.19769037,0.21463923,0.230085,0.24506974,0.2641636,0.28757584,0.3086709,0.31951448,0.319085,0.31367263,0.31313184,0.32034004,0.3304827,0.33432698,0.32832602,0.31634447,0.30600515,0.3030667,0.30872986,0.32205364,0.33944964,0.35654008,0.36768314,0.3708582,0.36851588,0.36630037,0.36616984,0.3644329,0.35435537,0.3336719,0.30626607,0.280561,0.26350924,0.2589909,0.266695,0.28417408,0.3051311,0.32257876,0.33088037,0.3337628,0.34023282,0.35970303,0.38990065,0.41867867,0.4313531,0.4236592,0.40552887,0.39180812,0.390661,0.39675927,0.39958718,0.392094,0.37679085,0.36270604,0.3590344,0.37031308,0.39288983,0.4189876,0.4373189,0.4387786,0.41694725,0.37498283,0.32422435,0.28058603,0.25419107,0.24474663,0.24402648,0.24431379,0.24717915,0.26105806,0.29224515,0.3329881,0.36607346,0.37830845,0.37263635,0.3642625,0.36545846,0.37725928,0.39023256,0.396022,0.3918816,0.38189843,0.3723973,0.36923417,0.37542734,0.38848862,0.40162337,0.40676475,0.4014872,0.39090145,0.38518092,0.39230475,0.4120007,0.43769518,0.46136364,0.48006,0.49346283,0.50266975,0.5073368,0.5080378,0.50537294,0.50094515,0.49603668,0.4921106,0.48930708,0.4876367,0.48591015,0.48284373,0.47580084,0.46535286,0.4545101,0.44893956,0.4498941,0.45622492,0.4642078,0.47281274,0.48050764,0.4869952,0.491925,0.49665466,0.5014612,0.5044725,0.50441486,0.5036289,0.5075124,0.51770216,0.5293,0.53542036,0.5338247,0.5288994,0.5253678,0.52497125,0.52516395,0.5244253,0.5229294,0.52262074,0.52219373,0.51748425,0.5037795,0.48185405,0.4575446,0.43990615,0.4355646,0.447885,0.4732413,0.50261635,0.52250457,0.5232139,0.50403124,0.47614643,0.45497355,0.44920585,0.4552146,0.46231136,0.46525136,0.46496022,0.4660757,0.46764946,0.47007874,0.473762,0.4819111,0.49135318,0.49637422,0.4929941,0.4857531,0.482427,0.48614642,0.49240437,0.49631357,0.49811348,0.50202775,0.50862104,0.5143674,0.51466614,0.50921553,0.4996917,0.48853073,0.4780501,0.4731184,0.47874698,0.4953781,0.516162,0.532129,0.5385131,0.53729683,0.5322717,0.5266038,0.52082986,0.51578397,0.5113295,0.5069497,0.49830613,0.4786369,0.44011357,0.38140523,0.3090432,0.23744822,0.1794768,0.14241272,0.12419742,0.11904464,0.12050576,0.125133,0.13061385,0.1351576,0.13673146,0.13491915,0.13090985,0.12748154,0.12709235,0.13154437,0.1402757,0.15045965,0.15725724,0.15742461,0.1507143,0.14054762,0.13092257,0.12532254,0.12468206,0.12785465,0.13178766,0.13418455,0.13460708,0.1343314,0.13423301,0.1345575,0.13562258,0.13873047,0.14451115,0.15174814,0.15763028,0.16020638,0.16006789,0.15948446,0.16061093,0.16351134,0.16677682,0.16897456,0.16974328,0.17002892,0.16998672,0.1695283,0.16778737,0.16527936,0.16277908,0.161068,0.16024794,0.16013694,0.1610903,0.16273004,0.16430812,0.164708,0.16430922,0.16424792,0.16497521,0.16571493,0.16553195,0.16489942,0.16498214,0.16605894,0.16783814,0.16941108,0.1712478,0.17300136,0.17527957,0.17777921,0.18140137,0.18572198,0.1901875,0.1930278,0.1936198,0.19200116,0.18945698,0.1864544,0.18317427,0.17931418,0.17582922,0.17384583,0.17420103,0.17623962,0.17876124,0.18090278,0.18254824,0.18389595,0.18457223,0.18369882,0.18068404,0.17583251,0.17110461,0.16837732,0.16904218,0.17155254,0.17362465,0.17310117,0.17081164,0.16869849,0.1681732,0.16891544,0.16998827,0.17150079,0.17402743,0.17794539,0.1823523,0.18572383,0.18673348,0.18492089,0.18107806,0.17651391,0.17260359,0.16992404,0.1681524,0.16680318,0.16559564,0.16511108,0.1654291,0.16647176,0.16825439,0.17183824,0.1782143,0.18579413,0.19003505,0.18483086,0.16658418,0.13604958,0.09867745,0.06211169,0.032939725,0.014157276,0.005249704,0.004993864,0.01433481,0.035247386,0.066978015,0.10284146,0.13356255,0.15308188,0.16210614,0.16553517,0.16754512,0.17023532,0.17407386,0.17979318,0.18636028,0.19146603,0.19180866,0.18670155,0.17760988,0.16756882,0.1585324,0.1520089,0.1486944,0.14927241,0.1530906,0.15860868,0.16325401,0.16516048,0.16403812,0.16174693,0.16095129,0.16331948,0.16843253,0.17411731,0.17791082,0.178676,0.17765011,0.17831676,0.18401797,0.19568586,0.20976686,0.22069752,0.22289474,0.21520211,0.20062459,0.1861831,0.17763461,0.17701001,0.18175645,0.18791121,0.19245893,0.19382133,0.19289798,0.19205666,0.19412185,0.19810574,0.2008525,0.19955654,0.19647634,0.19595586,0.20129853,0.21112967,0.22215195,0.23097281,0.2366051,0.23862886,0.23815231,0.23580539,0.2330593,0.22952436,0.22530401,0.22042985,0.21648932,0.21480046,0.21623306,0.22104041,0.22791614,0.23383768,0.23469639,0.22893238,0.21855354,0.20832182,0.20215225,0.20146549,0.20390296,0.20525086,0.20154913,0.19267006,0.18243067,0.17699857,0.18113334,0.19522582,0.21492863,0.23293652,0.24350505,0.24452895,0.23900384,0.23246168,0.23082395,0.23588271,0.24482568,0.25135103,0.2508261,0.2416867,0.22567262,0.20526285,0.18382514,0.16467203,0.15081799,0.14291675,0.13968319,0.13858707,0.13806757,0.13781811,0.13854606,0.1407144,0.14422601,0.1484195,0.15246052,0.15528335,0.15627207,0.15591724,0.15629755,0.15951331,0.1658142,0.17298865,0.17821978,0.18026225,0.1795572,0.1768552,0.1723067,0.16626804,0.16022538,0.1565844,0.15713339,0.16215007,0.16948281,0.17613876,0.1787877,0.17708772,0.17340405,0.17296351,0.17951159,0.19287783,0.2081269,0.21832134,0.21896775,0.2107603,0.1993166,0.1912895,0.18935835,0.19190212,0.19439216,0.19449085,0.19147615,0.18800025,0.18625546,0.18811756,0.19120924,0.1923063,0.18927707,0.18480623,0.18356752,0.18827611,0.1974613,0.2064042,0.21182024,0.21303849,0.21275623,0.21325256,0.21594857,0.21987748,0.22441733,0.22845185,0.23234408,0.23464537,0.23469971,0.23180424,0.22906224,0.22955608,0.23412465,0.23901081,0.23909317,0.23241901,0.22140257,0.21252912,0.21124949,0.21901332,0.22991498,0.23564881,0.2306844,0.21789448,0.20520091,0.20113833,0.20859267,0.22490953,0.24276972,0.2547954,0.25574145,0.24585997,0.23091184,0.22036277,0.22125824,0.23309486,0.24771656,0.25561827,0.2528067,0.24209593,0.22832619,0.2140925,0.19917424,0.18383841,0.16930592,0.15658878,0.14427197,0.13096552,0.118687265,0.114251606,0.1241213,0.14804752,0.17756855,0.20181955,0.21521138,0.21899194,0.21832474,0.21637999,0.21400058,0.20974706,0.20363767,0.19701286,0.19268225,0.19221352,0.19493651,0.19869198,0.20179369,0.20417555,0.20634632,0.20827277,0.20902693,0.20787837,0.20469613,0.20119129,0.19931056,0.20131892,0.20667052,0.21370095,0.21888037,0.22013398,0.2163123,0.20904543,0.20099868,0.19524018,0.19282669,0.1929819,0.19399047,0.19467686,0.19494355,0.19523501,0.1963707,0.19877088,0.20182824,0.20411873,0.20389389,0.20136106,0.19752127,0.1949939,0.19494206,0.1983757,0.20359115,0.20873095,0.21132088,0.21159185,0.21076928,0.21093303,0.2121814,0.21395086,0.21484405,0.21448497,0.21245676,0.20933332,0.2059447,0.20375608,0.20355926,0.20516478,0.20797749,0.21146567,0.21558379,0.21955307,0.22180456,0.22084995,0.21630879,0.21020788,0.2045226,0.20127775,0.20014282,0.20112914,0.2033901,0.20682108,0.21038222,0.21325673,0.21485619,0.21545517,0.21570648,0.21574838,0.21532005,0.21413152,0.21274643,0.21203105,0.21261089,0.2140996,0.2153459,0.21423233,0.20976003,0.20256501,0.19677119,0.19560461,0.20045477,0.20792745,0.21469319,0.21819203,0.21917498,0.21854168,0.21735501,0.21559973,0.21372996,0.2121063,0.21101852,0.21020652,0.2091804,0.20820288,0.20780481,0.20898701,0.21102184,0.21219729,0.20953912,0.20241334,0.19273007,0.18542822,0.1839075,0.1883081,0.19444168,0.19808,0.19753236,0.19455771,0.19196862,0.19132073,0.19294947,0.19599475,0.19987606,0.20360434,0.20688117,0.20924252,0.2109396,0.21191645,0.21261625,0.21300094,0.21318412,0.21268307,0.21151008,0.21002907,0.20896588,0.20810138,0.20660245,0.20364879,0.2002265,0.1976165,0.19732417,0.19888,0.20191614,0.2051502,0.20802182,0.20941712,0.20904182,0.20719689,0.20518415,0.20429246,0.20497666,0.20654537,0.20780303,0.20792072,0.20702232,0.20592107,0.20573704,0.20708407,0.20915438,0.2101881,0.20844261,0.20497136,0.20222907,0.20307261,0.20722294,0.21276142,0.21688472,0.2181999,0.21664746,0.21324366,0.20974298,0.2074132,0.20680837,0.20673148,0.20596963,0.20375973,0.20144172,0.20044017,0.20175505,0.2043507,0.20707156,0.20917346,0.2111497,0.21327645,0.21476324,0.21366525,0.20799144,0.19800292,0.18692835,0.18011415,0.18038058,0.18599838,0.19132738,0.1923243,0.18913424,0.18571149,0.18555696,0.18861985,0.19052123,0.18526836,0.16958398,0.14630346,0.12379217,0.111517586,0.11411661,0.12905616,0.1483228,0.16421734,0.1723591,0.17296647,0.1676541,0.15918086,0.15015085,0.14410631,0.14284278,0.14617576,0.15109311,0.15486248,0.15595086,0.15533347,0.15465982,0.15541886,0.15767886,0.16084361,0.16407998,0.16696523,0.16900681,0.1696447,0.16820906,0.16470374,0.16011167,0.15640293,0.15587847,0.16004036,0.16892385,0.18028839,0.19091208,0.19827414,0.2027107,0.20662719,0.2117524,0.21746808,0.22162384,0.2235598,0.22434802,0.22514258,0.22539397,0.22360241,0.21920897,0.21297576,0.20597301,0.19913535,0.19329749,0.19005246,0.1902803,0.19381642,0.19828062,0.20089595,0.19928955,0.19329315,0.18438314,0.17504776,0.16772719,0.16446376,0.16692455,0.17542441,0.1882013,0.20104502,0.2091489,0.20972128,0.2039324,0.19593655,0.19012259,0.18782733,0.18745579,0.18583257,0.18164955,0.1756633,0.17016639,0.16651422,0.16459765,0.16366644,0.16322996,0.16395168,0.16616613,0.16993517,0.17375477,0.17655914,0.17769025,0.17823386,0.17865902,0.17891209,0.17794955,0.1760807,0.17438172,0.17428018,0.1759726,0.1791559,0.18320704,0.18757279,0.19103529,0.19197978,0.18880852,0.18136694,0.17141102,0.16249982,0.15816034,0.16026354,0.1677696,0.1773258,0.18486835,0.18844701,0.18920445,0.19074573,0.19516452,0.20200084,0.2082131,0.21204817,0.2130558,0.21210109,0.20929088,0.20489292,0.19930534,0.19330229,0.18682612,0.1798519,0.17292203,0.16820943,0.16771497,0.17202437,0.17917357,0.18584597,0.18917064,0.18764174,0.1819644,0.1737833,0.16643111,0.16283846,0.16579515,0.17497738,0.18780495,0.19920067,0.20492625,0.20305865,0.19544314,0.18622823,0.17970546,0.17775057,0.17918412,0.18080018,0.1798922,0.17590897,0.17018239,0.16409977,0.15673442,0.14566557,0.12890032,0.109860994,0.09715412,0.10170286,0.12709929,0.16602886,0.20257746,0.22378312,0.22689861,0.21938227,0.21116568,0.20763439,0.20875955,0.21172903,0.21534069,0.21912193,0.22313428,0.225864,0.22733976,0.22797371,0.22896087,0.22865267,0.22535078,0.21787322,0.20793764,0.19700861,0.18718803,0.18029304,0.17918886,0.1838101,0.19111794,0.19625233,0.19746745,0.19713767,0.19927953,0.20589995,0.21502526,0.22287987,0.22660728,0.22622032,0.22348563,0.21979187,0.21549463,0.21073054,0.20701925,0.20677187,0.21166383,0.2207533,0.23052323,0.23692709,0.23767419,0.23377223,0.22813194,0.22365804,0.22074904,0.21833684,0.21527445,0.21235587,0.21124262,0.21295549,0.217277,0.2227553,0.22925627,0.2369578,0.24787265,0.26164702,0.2771108,0.29017368,0.29835296,0.3004619,0.2985703,0.2953378,0.29272968,0.29068175,0.28795123,0.28370842,0.27857462,0.27417365,0.27229428,0.27316427,0.2761157,0.27908,0.2804987,0.27865493,0.2741582,0.26857474,0.26455012,0.26249304,0.26250184,0.2647533,0.2707747,0.28052723,0.2919269,0.30167887,0.30728742,0.30780163,0.3032877,0.29506442,0.28521174,0.277375,0.27523747,0.280934,0.2918258,0.3017379,0.3046304,0.2992723,0.2895635,0.28158078,0.2795854,0.28365755,0.29019853,0.2945458,0.29425386,0.29008713,0.28517452,0.2821325,0.28173542,0.2824602,0.28270563,0.28195807,0.28102148,0.28100824,0.28310785,0.28822103,0.2955859,0.30170026,0.3021014,0.29516235,0.28405902,0.27532038,0.27400175,0.28082517,0.2908143,0.29750684,0.29674152,0.2901012,0.28282252,0.2801564,0.28361842,0.29070643,0.29717243,0.30034983,0.30000973,0.2977626,0.29496792,0.29248646,0.29003322,0.28733298,0.28443933,0.28269356,0.28217813,0.28115,0.2757868,0.2654227,0.2529466,0.24430294,0.24220784,0.24574327,0.25058827,0.25377798,0.25442782,0.25427794,0.2554897,0.2593151,0.26524696,0.27077243,0.27305064,0.26987448,0.26248768,0.2542109,0.24906667,0.24748228,0.24750285,0.2464555,0.24398506,0.24134092,0.24019659,0.24209373,0.24714641,0.2540204,0.2590305,0.26008078,0.25782284,0.2569079,0.26032773,0.2679087,0.2751952,0.27885762,0.27794698,0.27499518,0.27264854,0.27259123,0.27425528,0.27609,0.27640578,0.2745137,0.27100348,0.26746142,0.26574135,0.26659098,0.26954463,0.27336895,0.27698055,0.27985707,0.28157005,0.28241935,0.2823342,0.2820755,0.2816529,0.28187206,0.28201666,0.28212246,0.2816311,0.2816482,0.28203818,0.28223738,0.28064945,0.27695498,0.2727255,0.27059892,0.27317393,0.27996287,0.28804985,0.2923292,0.29006556,0.281726,0.27254766,0.26844275,0.27313802,0.28403878,0.2949096,0.29943976,0.29610625,0.2875832,0.27906552,0.2745558,0.27510402,0.27857316,0.28219625,0.28473797,0.28612748,0.2863865,0.2854073,0.2844899,0.28553024,0.28891158,0.29227483,0.29212782,0.28805158,0.28309298,0.28209248,0.28581092,0.29116607,0.29296553,0.28979146,0.28378692,0.27986908,0.28119197,0.28791973,0.29643634,0.3023684,0.30296156,0.29852483,0.2915131,0.285027,0.28116587,0.27985775,0.27952433,0.27902344,0.27847257,0.27788115,0.27592734,0.27164802,0.26626992,0.2628908,0.262767,0.26417467,0.26359344,0.26028517,0.25635964,0.2553461,0.25710794,0.25903237,0.25785002,0.2540649,0.24956931,0.24569492,0.24168228,0.23673618,0.23029822,0.21912245,0.19759,0.16132537,0.11436188,0.0673821,0.032697815,0.017327392,0.024855847,0.056082994,0.10904349,0.17420782,0.23699188,0.28384957,0.31014118,0.32025382,0.3222164,0.32238236,0.3228893,0.32412294,0.3253564,0.32652068,0.32650015,0.32494143,0.3217003,0.31885818,0.31732538,0.3167373,0.3139297,0.30765304,0.29906365,0.2918025,0.28806758,0.2880521,0.2906585,0.29399395,0.2957815,0.2936711,0.28881618,0.28588828,0.29108143,0.30625334,0.32779554,0.3482612,0.36136797,0.36404586,0.35786498,0.34703588,0.3374443,0.33245632,0.33257985,0.33425286,0.33394787,0.32932866,0.3215299,0.31305236,0.30677828,0.30370796,0.3040123,0.3066126,0.31055224,0.31323835,0.31253907,0.30761656,0.30093518,0.29635274,0.29630068,0.30094877,0.30745828,0.31287074,0.31440604,0.313316,0.3127828,0.31644455,0.3237363,0.33137763,0.33584437,0.3366202,0.33562276,0.33589613,0.33927116,0.34610257,0.35380462,0.3598776,0.36255133,0.3636783,0.36505374,0.36698434,0.36674055,0.36193946,0.35359773,0.34621814,0.34421647,0.34706917,0.34899893,0.34404066,0.33151627,0.31743988,0.3084866,0.30856308,0.3153877,0.32479355,0.33040667,0.32912454,0.32063755,0.30981243,0.3018115,0.29967546,0.30330047,0.31043115,0.31864098,0.3232501,0.32077464,0.31053552,0.29820922,0.29137936,0.29445615,0.30619928,0.32036427,0.33107713,0.3342427,0.33183637,0.32763168,0.32616588,0.32666194,0.3277388,0.32676533,0.32553414,0.3242621,0.32562676,0.32916996,0.33734238,0.34818515,0.35967112,0.36627355,0.36672148,0.3626814,0.3580725,0.35436383,0.3504658,0.34555832,0.34102225,0.3394226,0.34117135,0.3423511,0.33696982,0.32290998,0.3048518,0.29203054,0.28928813,0.29599866,0.3065847,0.31740186,0.32428205,0.32513583,0.31883386,0.30945897,0.30177498,0.29923627,0.30118033,0.30559218,0.30995739,0.3115672,0.30883548,0.30257937,0.29595074,0.2902455,0.2822428,0.26681006,0.24325597,0.22020583,0.21090406,0.2246784,0.25896886,0.30264017,0.3419768,0.36852428,0.37908176,0.37633085,0.36527917,0.35204485,0.3406665,0.33287013,0.32814094,0.3246471,0.32085928,0.3156993,0.30856833,0.29626444,0.27552453,0.24586476,0.21533744,0.19450124,0.1898296,0.19695199,0.20730889,0.21517378,0.22147365,0.22913988,0.23870327,0.24803519,0.25512126,0.25993016,0.26383093,0.2678492,0.27266052,0.27849302,0.2858691,0.2936435,0.2993768,0.29970178,0.2938983,0.28451613,0.2763334,0.27245983,0.27173695,0.2703581,0.26516125,0.2573846,0.2501853,0.24650723,0.24665457,0.2512652,0.26091853,0.27503237,0.2888089,0.2962756,0.29457626,0.28687486,0.27922752,0.27568245,0.27661586,0.28017023,0.28553668,0.29214284,0.2987875,0.3026209,0.3015808,0.29593602,0.2876015,0.27859184,0.26948476,0.26095667,0.25377646,0.24986164,0.25035435,0.25560883,0.2635474,0.2715713,0.27705517,0.2795187,0.2795689,0.27928206,0.28152427,0.28910017,0.30244672,0.31694567,0.3248882,0.31906238,0.29994592,0.27623487,0.26167548,0.2637005,0.27858663,0.2932129,0.29727614,0.28920487,0.27577862,0.263646,0.2565027,0.25448605,0.25734043,0.26356956,0.2716091,0.27930936,0.28635266,0.29232526,0.29782578,0.30170223,0.3036774,0.30200997,0.29722285,0.29023287,0.28477952,0.2823533,0.28266987,0.28230992,0.28042707,0.27818212,0.27879488,0.28254503,0.28832957,0.29412007,0.29939166,0.30341777,0.30524328,0.3042661,0.30156198,0.2990146,0.29808775,0.29828465,0.29905328,0.2994109,0.30017665,0.3012123,0.30335882,0.30592683,0.30944023,0.31282064,0.3151486,0.31432375,0.3101693,0.30387124,0.29725352,0.29090202,0.28471756,0.28000435,0.27890316,0.28277436,0.2900031,0.29772565,0.30385962,0.30852643,0.31355497,0.3203307,0.32924935,0.33710396,0.3393321,0.32984114,0.309032,0.28320047,0.26544005,0.26226518,0.27181056,0.28227368,0.2846521,0.27468443,0.25498503,0.23004596,0.20718889,0.19517797,0.20092554,0.22403127,0.25485232,0.27993456,0.28977087,0.28434893,0.2710936,0.2596679,0.2551689,0.25755945,0.2635596,0.2722486,0.28431484,0.29949737,0.3135592,0.32215115,0.3256323,0.33050525,0.34320435,0.3647114,0.38802472,0.40477455,0.40992835,0.40606537,0.39851937,0.39229274,0.3885329,0.38670596,0.3861189,0.38642153,0.3874674,0.3877412,0.38600114,0.3810307,0.3735517,0.36589134,0.3609536,0.36145297,0.3668115,0.37544313,0.38372305,0.39055797,0.3952899,0.39876285,0.40045965,0.39969707,0.3966706,0.39295146,0.3907853,0.39065123,0.3917222,0.3920369,0.3901695,0.38526726,0.37844238,0.37257406,0.3713894,0.37614623,0.3848373,0.3930498,0.39772415,0.3981775,0.3964968,0.39532724,0.39690956,0.40101087,0.4048232,0.4045004,0.39952895,0.39445508,0.39633015,0.4075152,0.4232414,0.43397585,0.43295684,0.41870978,0.39501417,0.36715367,0.34068903,0.3197001,0.3069491,0.3032448,0.30771515,0.31696317,0.32554606,0.327827,0.32106996,0.30703124,0.29108468,0.27984405,0.27786455,0.28558543,0.29845425,0.31058645,0.31858596,0.32472196,0.3340896,0.3503057,0.37175038,0.39250362,0.40642944,0.41058734,0.40635657,0.39710212,0.38643506,0.37665677,0.36938405,0.36534616,0.3647118,0.3659846,0.36663428,0.36411119,0.35791266,0.35017088,0.34427834,0.34357297,0.34875664,0.35841253,0.36856732,0.37610826,0.37926388,0.3788595,0.3763524,0.37363783,0.37227723,0.37350664,0.3769257,0.38097808,0.38311115,0.38255608,0.3791629,0.37479743,0.37019327,0.36723474,0.36638305,0.3693463,0.37588784,0.38552237,0.39461884,0.39987794,0.39869812,0.3935422,0.38854042,0.3875611,0.3887129,0.38753068,0.3807918,0.3720208,0.369203,0.37825415,0.39749038,0.41781127,0.42927003,0.4258727,0.40825033,0.3813747,0.35401705,0.3341845,0.32756552,0.33231542,0.34324428,0.35269067,0.35723373,0.3554639,0.34984496,0.34280753,0.33708027,0.33365408,0.33317474,0.33641636,0.3433554,0.35236645,0.35968468,0.36283076,0.3613143,0.35704294,0.35136893,0.345294,0.339591,0.33596396,0.33527598,0.3372562,0.3402582,0.34432256,0.35053575,0.36125645,0.37651566,0.3947996,0.41211715,0.42474708,0.4303516,0.42947266,0.42517588,0.42005256,0.41597894,0.4123919,0.40898386,0.40386167,0.39628395,0.38677272,0.3804078,0.3826296,0.3958278,0.4140687,0.42857918,0.43210605,0.42601755,0.4156321,0.40720657,0.40206537,0.39940575,0.39753518,0.39604735,0.39427793,0.3913543,0.3867712,0.38123688,0.37672797,0.37550807,0.37930405,0.3873893,0.39672676,0.40323314,0.40556753,0.4054261,0.40581128,0.40707514,0.40729544,0.40534925,0.40348735,0.40556344,0.41167942,0.41755548,0.41733947,0.4097838,0.39768863,0.38600692,0.37836763,0.377195,0.3827602,0.39225957,0.40126863,0.40688732,0.4104582,0.41391042,0.4165012,0.41381976,0.40376517,0.38910353,0.37681457,0.37170228,0.37449408,0.38145986,0.38778663,0.38856962,0.38123056,0.3664076,0.34766486,0.3295327,0.31516042,0.30710378,0.30650398,0.31367242,0.32620287,0.3407626,0.3538414,0.36323348,0.36787662,0.3678727,0.36478898,0.36079082,0.35744992,0.35490867,0.35266936,0.3513646,0.35240486,0.3565501,0.3618339,0.3647425,0.36267975,0.3558615,0.34702328,0.3392479,0.3350928,0.33528805,0.33929864,0.3447871,0.34861138,0.34727943,0.33890077,0.32524064,0.3120153,0.30634293,0.31233957,0.32950774,0.3534379,0.37806138,0.39734232,0.4071721,0.4075195,0.40195012,0.39587903,0.39267707,0.39285442,0.39461613,0.39666274,0.3989996,0.40152416,0.4028066,0.40079293,0.39536905,0.38858283,0.38317403,0.3808106,0.38173184,0.38498798,0.38883427,0.3922979,0.39627865,0.40299794,0.41276988,0.4222459,0.42607793,0.42123544,0.40951642,0.39593378,0.38547108,0.38052085,0.38091227,0.38424364,0.38705632,0.38643578,0.38131535,0.37289754,0.36195228,0.34885135,0.3330439,0.31781384,0.30833396,0.3108227,0.32490513,0.34505406,0.3623434,0.37225696,0.3754767,0.37688085,0.3814815,0.39242765,0.4095676,0.42885974,0.4435941,0.4489596,0.4449582,0.4366734,0.4283178,0.42151794,0.415084,0.40963054,0.40733007,0.40953425,0.41483235,0.41856298,0.41789052,0.4117566,0.4041433,0.3999939,0.40546167,0.42180216,0.44560012,0.46801308,0.48170495,0.48269832,0.47368956,0.45935938,0.44488764,0.43116036,0.41740108,0.40303823,0.39059052,0.38316536,0.3812928,0.38237414,0.38262883,0.38030675,0.3762208,0.37304786,0.37324762,0.37720075,0.38337052,0.389421,0.39449468,0.3983296,0.40140095,0.40399182,0.4085602,0.41589054,0.4241166,0.42596292,0.41775855,0.40111318,0.3847313,0.37440813,0.3725976,0.37766457,0.3887761,0.40391055,0.41886106,0.4280796,0.42838153,0.42212972,0.41435048,0.4091481,0.40600178,0.40249696,0.397177,0.3923415,0.39158216,0.39694062,0.40612993,0.41419235,0.41619742,0.41092718,0.40077114,0.39024282,0.38229302,0.37701738,0.37183335,0.3641055,0.35354725,0.3423961,0.33392587,0.3292545,0.3274038,0.32626995,0.32544914,0.32606414,0.32941744,0.33550236,0.34314334,0.3513868,0.3598534,0.36808482,0.37481377,0.3781133,0.37705743,0.37264013,0.3674743,0.36384344,0.36210918,0.36130297,0.36070082,0.3608272,0.3623024,0.36432338,0.3651674,0.36355647,0.36036685,0.35748172,0.35699975,0.35943365,0.36432067,0.370544,0.3778843,0.3865802,0.3967023,0.40707627,0.41625676,0.42255524,0.42573306,0.42601958,0.42631963,0.42757955,0.42950246,0.4273026,0.42028782,0.4105014,0.4045401,0.40400007,0.40834558,0.41458687,0.42257342,0.4305528,0.43519577,0.43265304,0.42357162,0.41309276,0.40613386,0.40365267,0.40225267,0.39890778,0.39271274,0.3861946,0.3826424,0.3846309,0.39117825,0.39767966,0.39860117,0.3913249,0.37791798,0.36244866,0.34871745,0.33893776,0.33472833,0.33628282,0.3419061,0.34783626,0.34949803,0.34301007,0.32608172,0.30028236,0.27144122,0.24909209,0.24073727,0.24801815,0.26522604,0.2846503,0.30061033,0.31191817,0.3191349,0.32381248,0.3270929,0.33099487,0.33618388,0.34189484,0.3449522,0.34394646,0.34084558,0.34109887,0.34727025,0.3561544,0.36076558,0.3584075,0.35270908,0.3500905,0.35270825,0.35869324,0.3647397,0.36912152,0.37093648,0.3695753,0.36616585,0.3628659,0.3626026,0.3657759,0.37286234,0.3831887,0.39634144,0.40762913,0.41245458,0.40879974,0.4019126,0.39816073,0.39982107,0.40299478,0.40233633,0.396234,0.38718745,0.37980297,0.37720636,0.37997803,0.38628638,0.39403808,0.4012269,0.40662405,0.40855733,0.4078568,0.40603408,0.40606663,0.4060389,0.40289247,0.39218202,0.3768765,0.36309114,0.35896087,0.36573187,0.3797419,0.39427957,0.4045634,0.40867385,0.40683976,0.40176442,0.39661348,0.3944149,0.39538422,0.3980639,0.3999044,0.39911088,0.3951317,0.38878503,0.38233957,0.37815925,0.37806174,0.38181114,0.38803303,0.39470044,0.4005314,0.40482858,0.40781224,0.40983924,0.41075864,0.40863442,0.40122667,0.38791153,0.37178922,0.35710332,0.34661934,0.33956054,0.33438826,0.33084652,0.33059064,0.33421993,0.3400736,0.34472224,0.3463173,0.34572616,0.34617284,0.3496517,0.35490608,0.3582503,0.35766628,0.3550384,0.3537468,0.35466087,0.35605016,0.35659507,0.35737836,0.3592353,0.36100674,0.36064872,0.35849547,0.35722294,0.35920206,0.36529073,0.37485728,0.38679543,0.39714873,0.4021968,0.40044248,0.3970474,0.39719272,0.40271387,0.40886247,0.41114727,0.40790248,0.40180257,0.3957983,0.39183736,0.39017263,0.39056942,0.39287254,0.3956306,0.39709044,0.39546874,0.39284208,0.39207605,0.39511457,0.398911,0.39918736,0.39365402,0.38476613,0.3774319,0.37505016,0.37811372,0.3844192,0.39185694,0.39766297,0.39969087,0.39628133,0.38908938,0.38138902,0.37658557,0.3754511,0.37702945,0.37933967,0.3806295,0.37958142,0.376423,0.37275812,0.37041417,0.37004718,0.37115297,0.3744346,0.38124767,0.3927453,0.40619233,0.4172059,0.42136145,0.41793773,0.40810442,0.39430138,0.37856087,0.3633782,0.35077667,0.34188223,0.33609045,0.33230677,0.3296968,0.32864133,0.3297726,0.33314112,0.3372586,0.34008503,0.34058622,0.3389388,0.33486113,0.32539228,0.30768585,0.2821107,0.25515938,0.23380381,0.22236763,0.21954264,0.22320043,0.23063512,0.2402912,0.24922897,0.25581235,0.25917026,0.26089093,0.26206598,0.26353136,0.26447886,0.2639279,0.2603269,0.25296223,0.24274677,0.23371865,0.231019,0.23703937,0.24818091,0.25671756,0.2567853,0.24874894,0.2387494,0.23335916,0.23453496,0.23872621,0.24052013,0.23823224,0.23495604,0.23514313,0.2395013,0.24459644,0.24676268,0.2451155,0.24215181,0.24031396,0.24158466,0.24518009,0.24995725,0.2538394,0.25758862,0.26275566,0.271029,0.28059602,0.28828332,0.29141092,0.2900071,0.2854859,0.27939734,0.27333406,0.2685366,0.26565,0.26326624,0.2593802,0.25272232,0.24444838,0.23698322,0.23289104,0.23319273,0.23823075,0.24696179,0.25870964,0.27107358,0.2817301,0.28686795,0.2840891,0.2720455,0.25241107,0.22938861,0.20899348,0.19664298,0.19444649,0.20049389,0.21013387,0.21873672,0.22358744,0.22435345,0.22255212,0.221301,0.22412924,0.23369908,0.24853308,0.2637267,0.27263796,0.2726617,0.26580998,0.25774196,0.25276944,0.25206527,0.25407746,0.25647053,0.25843978,0.2596437,0.2606418,0.26036778,0.25836253,0.254,0.2493683,0.24676968,0.24864678,0.2539965,0.260059,0.2628536,0.26141915,0.25734842,0.2547181,0.2561393,0.2619824,0.26944944,0.27518478,0.2765915,0.27361417,0.2679493,0.26250562,0.2595122,0.25978056,0.26157293,0.26239002,0.26011363,0.2559212,0.25249517,0.25328937,0.25895104,0.26821244,0.27809653,0.2857522,0.28915784,0.2874333,0.28149548,0.27242124,0.26119056,0.24800025,0.23413499,0.22172183,0.21277101,0.20737213,0.20411883,0.2017497,0.20083182,0.20347355,0.21201187,0.22676164,0.24541633,0.26315045,0.2753595,0.2796763,0.27805844,0.27493227,0.27468887,0.27791858,0.28163466,0.28087834,0.27249277,0.25718176,0.24003656,0.22827697,0.22601451,0.23162788,0.23804824,0.24010278,0.23749976,0.23534112,0.23726052,0.2424352,0.24584971,0.2435024,0.23677558,0.2309535,0.2311986,0.2371475,0.244658,0.24902153,0.2491727,0.24740313,0.24662362,0.24851398,0.25182357,0.25527942,0.2579899,0.26175988,0.26779875,0.27620247,0.28393972,0.28822383,0.28748825,0.28335103,0.27795175,0.27345452,0.2702931,0.2681156,0.2655876,0.26160598,0.25617853,0.25042322,0.24588294,0.24291877,0.24186604,0.24287309,0.2474801,0.25579083,0.26757655,0.2800884,0.29120958,0.2976873,0.29760894,0.2893025,0.27382424,0.2547032,0.23764627,0.22834753,0.22973044,0.24064226,0.25574183,0.26785174,0.27007625,0.2568173,0.2256772,0.17956693,0.12981044,0.091130756,0.07400323,0.076061726,0.08654827,0.09628574,0.10865451,0.13486308,0.18185957,0.2400027,0.290194,0.31783158,0.3254694,0.32516554,0.3269392,0.3292401,0.32508036,0.3101587,0.2894361,0.27308455,0.26953098,0.27839902,0.29165506,0.29804718,0.2912084,0.27195072,0.24885666,0.23188348,0.22733466,0.23447937,0.24846339,0.26600242,0.28625664,0.30891308,0.32836214,0.3364277,0.32655248,0.30144775,0.2710596,0.24801534,0.23980248,0.24838813,0.27095222,0.30301115,0.33742392,0.36664936,0.38419577,0.38886142,0.3836714,0.3752085,0.3694174,0.37068883,0.3788403,0.38988653,0.397053,0.39663568,0.39096582,0.38697097,0.38880515,0.3923558,0.38809827,0.36854282,0.33570635,0.29971257,0.27314046,0.2627829,0.26712754,0.27949217,0.29395142,0.3080555,0.32076573,0.3297114,0.33172715,0.3258529,0.31572798,0.30783924,0.30641675,0.30928543,0.30973518,0.30424353,0.29816315,0.3014661,0.31877425,0.34299096,0.3618685,0.368387,0.36635864,0.36404452,0.36509332,0.36467397,0.3549427,0.33329085,0.30630758,0.28515813,0.27830645,0.28482008,0.29742143,0.3049911,0.3014802,0.28508908,0.26298347,0.24370234,0.23579407,0.24042511,0.25488663,0.27519017,0.29867053,0.32285213,0.34144318,0.34753457,0.3361722,0.31109396,0.28167698,0.2593902,0.25054896,0.25661233,0.27554974,0.3048899,0.34004673,0.37442747,0.40017775,0.41331387,0.41463116,0.41067353,0.40797067,0.41187802,0.42049637,0.42914638,0.43045685,0.42471027,0.4165876,0.41449618,0.41870284,0.4223806,0.41437253,0.38979697,0.35331663,0.31703758,0.29302177,0.28697327,0.2970769,0.3176252,0.34281766,0.3680786,0.3893532,0.40378013,0.4111897,0.4138761,0.4157374,0.41982436,0.42803848,0.437997,0.44485578,0.44287956,0.43321857,0.4219719,0.41720638,0.41847265,0.41826668,0.4057361,0.37781325,0.3408982,0.3082693,0.28920433,0.28421435,0.2856107,0.28810748,0.29197216,0.30196416,0.31599978,0.3258202,0.32108998,0.30158734,0.2763206,0.2568011,0.24607916,0.23767288,0.22371306,0.20267387,0.17984015,0.16028272,0.14544003,0.1356828,0.1321757,0.13616359,0.1447288,0.15427375,0.16269337,0.17124975,0.18033908,0.18805145,0.19234087,0.19274701,0.19169135,0.1909359,0.19126707,0.1910296,0.18862891,0.18382095,0.17861545,0.17575361,0.17646801,0.17994623,0.18401736,0.18660398,0.186547,0.18424541,0.18133521,0.17955226,0.17922242,0.17969333,0.18037887,0.18133254,0.18221442,0.1817842,0.17947595,0.17623895,0.1744504,0.17520891,0.17810087,0.18141674,0.18407278,0.18583764,0.18747719,0.18989314,0.19356646,0.19773513,0.20128836,0.2033018,0.20420535,0.20455594,0.20452847,0.20365982,0.20192973,0.20043635,0.20014651,0.20105214,0.20162828,0.20055936,0.1976224,0.19411539,0.19174816,0.19159907,0.19321735,0.19536652,0.19705796,0.19889398,0.20177205,0.20579433,0.20927374,0.21071315,0.20989503,0.20802617,0.20578735,0.20321368,0.19999975,0.19712366,0.19594698,0.19823758,0.20446952,0.21360415,0.22226705,0.22640598,0.22372907,0.2150157,0.20340335,0.19189435,0.1826539,0.17664409,0.17408185,0.1744383,0.17656185,0.1794213,0.18148907,0.18207021,0.181135,0.18072772,0.18255025,0.18699665,0.1919241,0.19489487,0.1948555,0.19307368,0.1919045,0.19295613,0.19606006,0.19931994,0.20091732,0.20017557,0.19836621,0.19692533,0.19677804,0.19733877,0.19803227,0.19836278,0.19859092,0.19883741,0.1991251,0.19896995,0.19760571,0.19445549,0.18978862,0.1848983,0.1812278,0.17959465,0.17978944,0.18123631,0.18288338,0.18387358,0.18353166,0.18249907,0.18167453,0.1817307,0.18222894,0.18288797,0.18371171,0.18453406,0.18431835,0.18229572,0.17941667,0.17796735,0.17930977,0.18276285,0.18629764,0.18874882,0.18980663,0.19028342,0.19078231,0.19239034,0.19520567,0.19884455,0.20197035,0.2039094,0.20450173,0.20399721,0.20247658,0.20042628,0.19898196,0.19944887,0.20171936,0.20442946,0.20552778,0.20454197,0.20220591,0.20043238,0.20009457,0.20108294,0.20232463,0.20351982,0.20523144,0.20787942,0.21059574,0.21145193,0.20974122,0.20641188,0.20376915,0.20252882,0.20223461,0.2011413,0.19903398,0.19667894,0.1965419,0.20043701,0.20862429,0.21819164,0.22462827,0.22457902,0.21806014,0.20825332,0.19864416,0.19195788,0.18906151,0.19008215,0.19337611,0.19675107,0.19790173,0.1961288,0.19220595,0.18810557,0.18569927,0.18590532,0.18771225,0.1892861,0.18853565,0.18508707,0.17964144,0.1748258,0.17298043,0.1761231,0.18333517,0.19206695,0.1976126,0.1965689,0.18764222,0.17416011,0.161592,0.15489691,0.15461959,0.15803032,0.16179918,0.16491328,0.16767235,0.17049944,0.17339039,0.17697702,0.1818348,0.18716471,0.19039474,0.18919022,0.18351053,0.17522515,0.16649617,0.15828615,0.15158509,0.1475025,0.14774947,0.15213317,0.15879668,0.16411792,0.16594559,0.16442715,0.16196953,0.16117038,0.16323279,0.16790475,0.17324595,0.17718063,0.17852187,0.17903799,0.18211679,0.19053376,0.20311873,0.21558672,0.22236063,0.22027749,0.20953172,0.1946672,0.18189901,0.17597233,0.17703034,0.18213123,0.18794848,0.19239958,0.19443287,0.19433518,0.19442488,0.19651854,0.19979997,0.20073093,0.19793491,0.1944383,0.19535007,0.20358318,0.21637578,0.22919197,0.23690458,0.23958789,0.238066,0.23605055,0.23322307,0.23024146,0.22543669,0.22090743,0.21735345,0.21627177,0.2167692,0.21935034,0.22449857,0.23149866,0.2367286,0.23562253,0.22693443,0.213884,0.20251077,0.19741672,0.19913684,0.20377962,0.2056846,0.20140491,0.19206834,0.18267386,0.17927404,0.1855225,0.20073186,0.21968812,0.23565644,0.2437476,0.24337858,0.23792613,0.23330586,0.23432915,0.24163298,0.25010502,0.2531649,0.24710698,0.23328055,0.21488716,0.1948446,0.1754467,0.15930736,0.14853613,0.1431265,0.14100967,0.13960095,0.13783993,0.13651171,0.13699539,0.13993692,0.1444961,0.14950241,0.15377508,0.15680444,0.15832828,0.1590363,0.16029167,0.16332659,0.16784172,0.17219178,0.17499763,0.17612617,0.17607689,0.17450374,0.17071445,0.16493528,0.15922906,0.15658472,0.15886842,0.16581553,0.17397356,0.17931892,0.17891602,0.17441987,0.17042156,0.17215931,0.18166716,0.19628699,0.21077253,0.21880841,0.21776617,0.20886672,0.19812314,0.1910501,0.1894669,0.19117461,0.19239242,0.1919533,0.18962164,0.18792039,0.18809538,0.19126414,0.19422215,0.19411248,0.18976676,0.18521649,0.18495943,0.19077654,0.19970864,0.20731348,0.21099977,0.21180959,0.21224333,0.21473551,0.21889782,0.22382696,0.22765775,0.23067535,0.23280735,0.23375505,0.23215099,0.22852232,0.22617187,0.22848554,0.2347935,0.24015915,0.23912156,0.23084547,0.21923332,0.21168339,0.21301977,0.22290738,0.23350333,0.23643808,0.22778566,0.21313895,0.20174424,0.20175676,0.2136515,0.23218508,0.24864103,0.25627393,0.2523064,0.23948778,0.22505857,0.21758156,0.22170223,0.23476838,0.24846047,0.25513563,0.25207,0.2417512,0.22755551,0.21200754,0.19599044,0.18071668,0.1665919,0.15321751,0.13899831,0.12446221,0.114586495,0.11651838,0.13380082,0.16027687,0.18543024,0.20070119,0.20699884,0.20857666,0.2096768,0.20985563,0.2086342,0.20604932,0.20429905,0.20485616,0.20829354,0.21339406,0.21906132,0.22454815,0.22951622,0.232379,0.230623,0.22289008,0.2112739,0.20107488,0.19714944,0.20031996,0.20659567,0.21088922,0.21106327,0.20988142,0.21144056,0.21796149,0.22667946,0.2332245,0.23378853,0.22876395,0.22093447,0.21429938,0.21150327,0.21320635,0.21783878,0.22231548,0.22392537,0.22204141,0.21854645,0.21616445,0.21608877,0.21719708,0.2173254,0.21559864,0.21340118,0.21279162,0.21415438,0.21539126,0.21451245,0.21194524,0.21074957,0.21327128,0.21920705,0.22593369,0.23122816,0.23486398,0.23763853,0.24016668,0.24190505,0.24281423,0.24316446,0.24338467,0.24269114,0.24040987,0.23693043,0.23367141,0.23179603,0.23123725,0.23176934,0.23284562,0.23416388,0.23497027,0.23523812,0.23508464,0.23454165,0.23253192,0.22846794,0.2228861,0.21849476,0.21748401,0.22053193,0.22492278,0.22704612,0.22435562,0.21789156,0.21134079,0.20851474,0.21122535,0.21847649,0.22779007,0.23605186,0.24104267,0.2420363,0.24050377,0.23858154,0.23770761,0.23690991,0.2344722,0.22919202,0.22203879,0.21478808,0.20920914,0.20633076,0.20673259,0.21007848,0.21467735,0.2180336,0.21857424,0.216709,0.21410948,0.21230976,0.21175678,0.21257435,0.21457861,0.21788198,0.22174996,0.22505437,0.22601075,0.22396368,0.21979775,0.21613854,0.21524239,0.21758507,0.22149561,0.22480746,0.22665296,0.22743164,0.22808145,0.228794,0.22983225,0.23117697,0.2327876,0.23364349,0.23326075,0.23173523,0.23018277,0.22901988,0.22833104,0.2278933,0.22761899,0.22740012,0.2270086,0.2269109,0.22720473,0.22741832,0.22573085,0.22145624,0.2159289,0.2125435,0.21355623,0.21841037,0.22411762,0.22800428,0.22958358,0.2302198,0.23168002,0.23479556,0.23927812,0.24387081,0.24695778,0.24759758,0.24621199,0.24460797,0.24480592,0.24774869,0.25279227,0.25799447,0.2618519,0.2636493,0.263663,0.2613783,0.25600922,0.24705665,0.23611258,0.22646856,0.22173919,0.2237807,0.23105694,0.2396661,0.24532527,0.2470069,0.24647985,0.24652092,0.24684113,0.24508013,0.23916687,0.23078324,0.22367315,0.2210447,0.2230215,0.22778048,0.23259258,0.23517008,0.23368652,0.22794314,0.21955927,0.21157663,0.20639455,0.20450903,0.20436026,0.20424026,0.20359845,0.20360404,0.20510042,0.20758796,0.2092133,0.20919882,0.20855902,0.20939936,0.21248192,0.21715404,0.22196478,0.22670825,0.23166193,0.23689483,0.24095131,0.24226667,0.24047436,0.2368607,0.23285383,0.2291407,0.22593272,0.22358368,0.22217806,0.22088641,0.21899606,0.2167893,0.21607883,0.21790461,0.22169225,0.2249989,0.22584486,0.2238064,0.22023101,0.2166899,0.21409734,0.21244137,0.21162482,0.21148233,0.21182753,0.21207605,0.21203966,0.21221446,0.21409316,0.21861203,0.22569154,0.23287456,0.23738074,0.23672724,0.23176605,0.22489071,0.21937959,0.21614444,0.21510895,0.21520887,0.2151782,0.211869,0.20162426,0.18359835,0.1627301,0.14788406,0.14593662,0.15701234,0.17421778,0.18815918,0.19243097,0.18704261,0.17711405,0.16867465,0.16460113,0.16478556,0.16823815,0.17463785,0.18279827,0.18985598,0.19298483,0.19328862,0.19594927,0.2059257,0.22155166,0.2347032,0.23694609,0.22728796,0.21291693,0.20243943,0.19943707,0.20070446,0.20205398,0.20212357,0.20290382,0.20621012,0.2110154,0.21539904,0.21749002,0.21859871,0.22039413,0.22491573,0.2308179,0.23546714,0.23589052,0.23275377,0.22898303,0.22815609,0.23124592,0.2373547,0.24397935,0.24824774,0.2471721,0.23998617,0.22919385,0.21979843,0.21584614,0.21807002,0.22415559,0.23084159,0.23674063,0.24180071,0.24628444,0.24772628,0.24403246,0.23504972,0.22541489,0.21912105,0.21803586,0.2202667,0.2245164,0.22982357,0.23472624,0.23608498,0.230738,0.21900426,0.20430057,0.1918143,0.18417679,0.18119664,0.18036431,0.17991884,0.17967302,0.1805349,0.18278654,0.185911,0.18935741,0.19365942,0.19940013,0.20643638,0.21335882,0.21887897,0.22229357,0.22322233,0.22141391,0.216942,0.21106094,0.20495375,0.19928582,0.19363867,0.18836229,0.18464522,0.18436153,0.18868375,0.19735575,0.20890717,0.22008884,0.22791187,0.2294025,0.224568,0.21573798,0.20880623,0.20901723,0.21753971,0.22876523,0.23508728,0.23336262,0.22834367,0.22739851,0.2334528,0.24187255,0.24523444,0.23976022,0.22854115,0.21866721,0.2158705,0.22010422,0.22652715,0.22994363,0.22958706,0.22876443,0.23044078,0.2342745,0.23738503,0.23923771,0.24188048,0.24806404,0.2567656,0.2642944,0.26739416,0.26552808,0.26016673,0.25177696,0.24067138,0.22795004,0.21744065,0.21291028,0.21550608,0.22256006,0.23053615,0.23803888,0.24552815,0.25256515,0.25623152,0.25382558,0.24571685,0.23578726,0.22839284,0.22599597,0.22878896,0.23501344,0.24150401,0.24455059,0.2422049,0.23582369,0.22885144,0.22444834,0.22349484,0.22495663,0.22674079,0.22674966,0.22408946,0.21947843,0.21475506,0.21061832,0.20567143,0.19870059,0.1929095,0.19825752,0.22448933,0.2738231,0.33422938,0.38892093,0.42257917,0.43252778,0.42347634,0.4083209,0.3982501,0.40189323,0.4182904,0.44133195,0.46206176,0.47595623,0.48182535,0.48228323,0.47966543,0.47688302,0.47391078,0.47032523,0.46504307,0.46114945,0.46248364,0.47199407,0.486432,0.49925065,0.50298244,0.49494413,0.47800186,0.4603591,0.44947565,0.44824123,0.45197335,0.4552627,0.4546627,0.4528828,0.45173964,0.45307693,0.45461878,0.4556229,0.45390567,0.45138803,0.4495357,0.45151332,0.45552933,0.4598925,0.4621606,0.46368203,0.46483883,0.46593907,0.4658483,0.46395835,0.46043977,0.45641625,0.4555057,0.4591703,0.46737793,0.4751048,0.48145676,0.4865352,0.49523935,0.5070384,0.5203333,0.52857023,0.5282706,0.5176355,0.5009573,0.4850986,0.47715628,0.4796437,0.48948422,0.5005903,0.5080821,0.51003754,0.50634766,0.49691442,0.48352587,0.470891,0.46539482,0.4695855,0.4804225,0.49140283,0.49816814,0.50081545,0.5026397,0.5065289,0.51197267,0.51642066,0.51713175,0.51496863,0.511561,0.50889665,0.50531775,0.5003682,0.49427018,0.4909487,0.4920887,0.4976499,0.50461483,0.51155883,0.51775146,0.52312344,0.52560806,0.52378917,0.5173869,0.5100994,0.5059755,0.50770646,0.51284224,0.51602226,0.51324743,0.5056825,0.49943936,0.49987534,0.5074332,0.51673955,0.52089024,0.51684445,0.5060857,0.4931067,0.48056987,0.47109476,0.46672168,0.46991077,0.47787377,0.48419762,0.48216942,0.47343168,0.46544865,0.46619323,0.4754244,0.48740497,0.49594894,0.4993633,0.49890172,0.49551308,0.49004278,0.48352814,0.4783944,0.47586372,0.4762056,0.4780226,0.48079658,0.48455217,0.49083564,0.4989411,0.505871,0.5067982,0.50193125,0.4963727,0.49640974,0.5017069,0.5068512,0.50809914,0.5069669,0.5075367,0.5092657,0.50907737,0.5046182,0.4986254,0.49573255,0.49807334,0.5042954,0.5101488,0.51354057,0.5145941,0.51550776,0.5164614,0.51447415,0.5070274,0.49544713,0.48477235,0.47457945,0.45287147,0.40266383,0.31713274,0.21216504,0.11505141,0.04826485,0.014123339,0.0024573419,3.7977406E-05,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8.458794E-07,0.00022920377,0.0032335154,0.015596184,0.048125666,0.10621637,0.1821488,0.2516552,0.2917895,0.29451475,0.27402878,0.2497086,0.23426789,0.22735931,0.22443475,0.22248708,0.22163208,0.22288711,0.22567086,0.2297027,0.23496313,0.2429948,0.25408664,0.26679385,0.27763578,0.28361568,0.28379962,0.27960655,0.27339065,0.2671894,0.26240525,0.25985715,0.25955644,0.26050624,0.26133934,0.26156595,0.26178834,0.2635437,0.26801598,0.27668524,0.2897016,0.30665615,0.32466283,0.34116396,0.35372558,0.36218488,0.36722842,0.37053666,0.3737142,0.3780985,0.38300458,0.38668752,0.3858637,0.3805964,0.37278426,0.36753023,0.3668562,0.3697288,0.37185016,0.37021384,0.36562255,0.36153087,0.36126828,0.3645635,0.36807808,0.3679494,0.36283088,0.3549111,0.34814838,0.34606734,0.34969154,0.35728535,0.36453632,0.3665612,0.35929635,0.3427956,0.32144606,0.3036119,0.29646683,0.30263016,0.3189861,0.3400183,0.3622576,0.38531646,0.41087925,0.43876013,0.46645403,0.48914227,0.5021255,0.5022878,0.4900702,0.47225165,0.45907697,0.45939097,0.47099033,0.48353624,0.4863135,0.47959217,0.4734533,0.4772725,0.49218917,0.5096274,0.5209505,0.52115804,0.5122625,0.5003619,0.49359617,0.4979488,0.51193637,0.5277531,0.5349185,0.52924293,0.51191723,0.4896675,0.4687406,0.45608535,0.45389673,0.45952973,0.46633258,0.4699659,0.47213963,0.475356,0.4807926,0.48592257,0.49023306,0.49127606,0.4801924,0.4433718,0.37432396,0.28841034,0.21331094,0.1720227,0.1637881,0.17368907,0.18506585,0.19162172,0.19231917,0.18824095,0.17976926,0.1692407,0.15912753,0.15213169,0.14923358,0.15146458,0.15844603,0.1701165,0.18749596,0.21342397,0.24879652,0.28830686,0.322556,0.3436028,0.3507686,0.34778702,0.33996406,0.33040568,0.32158524,0.31439137,0.30955398,0.30703247,0.30763635,0.31103697,0.3158918,0.318997,0.3191621,0.31720388,0.31644568,0.31865633,0.324137,0.33073726,0.33638278,0.3389826,0.33833936,0.33478388,0.32950237,0.32320967,0.31756413,0.3144548,0.31487122,0.3171544,0.3179411,0.3157643,0.31269476,0.3134365,0.320433,0.3321663,0.34302828,0.34789753,0.34447253,0.33531287,0.3250523,0.31772873,0.31435552,0.31416073,0.31681275,0.32274708,0.33108,0.3378187,0.33745205,0.32760906,0.31147483,0.29668644,0.29008517,0.29444957,0.30809438,0.3274878,0.3497078,0.37313363,0.39734784,0.42188105,0.4455059,0.46574235,0.4796653,0.4852842,0.482011,0.47264576,0.46284118,0.46029767,0.46727148,0.47852573,0.48399028,0.47994325,0.4726324,0.47271562,0.4841489,0.50095624,0.5130975,0.51521343,0.50880194,0.50022787,0.49535975,0.49840662,0.50872374,0.5229755,0.5349362,0.5401148,0.5354311,0.5204531,0.4984891,0.4765111,0.46424332,0.46459484,0.47431508,0.48420182,0.4909648,0.49500576,0.49994087,0.50567764,0.5112149,0.515866,0.51934814,0.5185134,0.5043623,0.46670508,0.4003127,0.31216756,0.2180428,0.13573655,0.07549586,0.038332812,0.018389728,0.008675554,0.0040057716,0.0017264966,0.0011604378,0.0034311025,0.0119378725,0.030491116,0.060674023,0.098269425,0.13515513,0.16293775,0.17848444,0.18344153,0.18231212,0.1785386,0.17483313,0.17293471,0.17448609,0.17911583,0.18505846,0.18947773,0.19110434,0.19069505,0.19157837,0.19835551,0.21466847,0.24037929,0.27001265,0.2954985,0.3106612,0.3148148,0.31202915,0.30776152,0.30607888,0.30832064,0.31391004,0.32117435,0.32825875,0.33355877,0.33587864,0.33556214,0.33432803,0.3345509,0.33677998,0.3393984,0.3397919,0.33663988,0.3307192,0.3240129,0.31821012,0.31372514,0.3101472,0.30753067,0.30682155,0.30956855,0.31603023,0.32489598,0.3330579,0.33827606,0.34009913,0.3404933,0.34083524,0.34119996,0.3402172,0.33758745,0.3335892,0.32865688,0.32222012,0.3142252,0.30595034,0.3002461,0.29960373,0.3045187,0.31274337,0.32061335,0.3251507,0.32592425,0.3250755,0.32596505,0.33022457,0.33692995,0.34252307,0.3442899,0.341,0.33421502,0.32585475,0.31807768,0.31196192,0.30834258,0.30774644,0.3104377,0.31585637,0.32237616,0.32779995,0.33064917,0.33074912,0.3297678,0.32930532,0.33034515,0.33194423,0.33294702]