[0.0015318517,0.0015489431,0.0015488247,0.0014509162,0.0012422082,0.0022628645,0.008278047,0.02568133,0.057100344,0.09595841,0.12668525,0.13991179,0.14476822,0.1644542,0.21221763,0.2740343,0.3184811,0.32361856,0.29378274,0.24896441,0.20521091,0.16539116,0.12830041,0.097067736,0.07727871,0.06883142,0.06352746,0.054879796,0.043955285,0.041123435,0.053516667,0.07988685,0.106715895,0.11993859,0.1123066,0.09173667,0.07520762,0.082560875,0.12345376,0.19195247,0.26592654,0.3190674,0.33672562,0.32237864,0.29300737,0.26143852,0.2296413,0.19005941,0.1401235,0.086986184,0.04413976,0.020601265,0.017312052,0.027217068,0.040595572,0.047990154,0.04849729,0.049855262,0.064151786,0.09338507,0.12574656,0.1426496,0.13656811,0.11862258,0.11159382,0.1301496,0.1692238,0.20956437,0.23529427,0.24541844,0.24509184,0.23557346,0.20911823,0.16495357,0.11313514,0.07380944,0.057756174,0.06394524,0.079668276,0.09685793,0.11212864,0.12974973,0.15059482,0.17566706,0.20153223,0.22690816,0.2489013,0.26756483,0.28196302,0.2926652,0.29842034,0.2990162,0.29285786,0.27962568,0.25977203,0.23687142,0.21414036,0.1932634,0.17448546,0.15988393,0.14999281,0.14057957,0.12322309,0.09617082,0.066865,0.04718871,0.04135559,0.046647523,0.056165684,0.06612309,0.07524133,0.09030994,0.12250161,0.18148522,0.26109505,0.33980754,0.3928541,0.40836695,0.39116862,0.35212412,0.29937133,0.23593085,0.16725267,0.1026765,0.052728433,0.021698901,0.007995884,0.008480234,0.024218941,0.057559118,0.1055654,0.1558123,0.19171698,0.20248248,0.18787427,0.1571567,0.12424921,0.10665822,0.120668374,0.17216317,0.24633591,0.31062743,0.33290052,0.30182627,0.2319066,0.15107056,0.08291999,0.037783492,0.013885197,0.0040550823,0.0029693898,0.010720254,0.03317354,0.07184502,0.11952206,0.15874796,0.18052757,0.187663,0.19268705,0.19591777,0.18753624,0.15692388,0.109665185,0.061697375,0.027339378,0.009427232,0.0027933947,0.0019140408,0.0056458875,0.017068194,0.03769062,0.06342914,0.083648324,0.08984854,0.08280464,0.07313719,0.07498728,0.09585023,0.1381961,0.19212945,0.24524426,0.2782381,0.28718963,0.2774038,0.26795995,0.2681104,0.27871215,0.28946793,0.29074848,0.2761662,0.24436617,0.19970523,0.1484647,0.09928804,0.057920773,0.02898354,0.0122165615,0.005261296,0.003539447,0.0037458793,0.0039598458,0.003804749,0.0034378618,0.0031094747,0.0037597483,0.007768681,0.020125832,0.045688193,0.087527774,0.14157613,0.19808388,0.23898391,0.2484064,0.21827887,0.16076516,0.09771764,0.05263637,0.036097333,0.05199596,0.094870865,0.15234639,0.20090075,0.22041316,0.20383638,0.16228986,0.11258712,0.06833676,0.035538893,0.015791731,0.008854828,0.01466386,0.032064844,0.055853862,0.07557631,0.0806168,0.06818069,0.04534558,0.02332563,0.00951958,0.0068745366,0.017463477,0.04390497,0.08297544,0.12216721,0.14566056,0.14979874,0.14652129,0.15399884,0.17844854,0.21334143,0.24326348,0.25619242,0.24283569,0.205181,0.1524673,0.10096449,0.060294837,0.033372987,0.017666819,0.013232251,0.022959797,0.04774482,0.08118414,0.10938134,0.12157931,0.12029668,0.12136503,0.14227702,0.18819253,0.2507685,0.31371617,0.3624039,0.3892298,0.3929772,0.37985194,0.3568088,0.33372167,0.3165921,0.30915496,0.30923668,0.3100567,0.30216625,0.27528396,0.22663708,0.16287097,0.10148152,0.06129672,0.05680481,0.08999797,0.14941168,0.21173604,0.25447303,0.2651532,0.24631067,0.2099622,0.17324822,0.150286,0.14694895,0.15775846,0.17356448,0.18611957,0.18948315,0.17753188,0.14930706,0.11481198,0.09336694,0.1023261,0.14368266,0.19912238,0.23825538,0.23832567,0.20109876,0.1529953,0.124516994,0.13053201,0.1611407,0.19693883,0.21881098,0.22071047,0.2012152,0.16759521,0.12884027,0.10088857,0.09687217,0.12413188,0.17688824,0.23926656,0.2915212,0.32023695,0.32419825,0.31301174,0.29666615,0.27904797,0.25606576,0.22520365,0.18792593,0.15133214,0.1227581,0.1101016,0.118762694,0.14942352,0.19653435,0.24871655,0.29287997,0.31384352,0.30422136,0.26801896,0.2270718,0.20457375,0.21361648,0.24567504,0.2843382,0.31508756,0.33581734,0.34706247,0.35026428,0.34003744,0.31351462,0.26770392,0.20924117,0.14905709,0.10662612,0.098346986,0.12989469,0.18752955,0.24466272,0.2804096,0.29091337,0.28987065,0.29284808,0.30701208,0.3244581,0.32695687,0.29717347,0.23420276,0.15966304,0.10632339,0.09531789,0.12012754,0.15312077,0.16780084,0.1591761,0.14177674,0.13371752,0.14322947,0.16748099,0.19936375,0.22876175,0.2478394,0.25153103,0.24313836,0.23006572,0.22301556,0.22819985,0.24124599,0.24551678,0.22287293,0.17125876,0.10667697,0.052087594,0.018775381,0.0047583827,0.0008231926,0.0014353115,0.006642791,0.020988477,0.047135662,0.08216998,0.11676073,0.13976754,0.14401488,0.12846981,0.10101428,0.0755217,0.06859475,0.08983482,0.13634431,0.19321054,0.23961528,0.26019612,0.25315884,0.23266836,0.22106762,0.2310164,0.25964406,0.28683713,0.29668236,0.2834124,0.26046786,0.24389715,0.24652012,0.26509967,0.28834283,0.2987101,0.28699628,0.25034156,0.19789098,0.1396989,0.087838374,0.04789265,0.022471063,0.009404953,0.0073891557,0.016573766,0.037223857,0.0645295,0.08933851,0.10480547,0.114458025,0.12742966,0.15031464,0.17773674,0.19798817,0.19805704,0.17390436,0.13181733,0.087315045,0.054260537,0.03756359,0.034648046,0.0461055,0.07964726,0.14015292,0.21476108,0.2726799,0.28632438,0.25359556,0.19974166,0.15319736,0.12417286,0.104957335,0.08903269,0.08270797,0.09384317,0.1175642,0.13276255,0.12419703,0.09647817,0.07549035,0.08493096,0.12628639,0.17504281,0.19733797,0.17757547,0.12584546,0.07076803,0.03476778,0.02820418,0.046980206,0.08536505,0.13424487,0.18927072,0.24523692,0.29879606,0.34055924,0.35838857,0.3474759,0.31513378,0.28111675,0.25568634,0.23809968,0.21515904,0.18093325,0.1370405,0.092614114,0.055298954,0.031370763,0.026343128,0.045099095,0.08595064,0.1361974,0.17361218,0.18015008,0.15286957,0.10635131,0.060683426,0.030678062,0.021532372,0.030699553,0.050532866,0.07068222,0.084490515,0.09380264,0.10494704,0.11909289,0.1265539,0.11740294,0.091181755,0.05958946,0.034818903,0.024162019,0.030301064,0.05523741,0.098229766,0.15129422,0.20137183,0.23388545,0.24166958,0.22241776,0.18304354,0.1324411,0.08604509,0.055792574,0.050131258,0.06329459,0.08165893,0.0883171,0.07780343,0.05503996,0.03191684,0.016472548,0.012801103,0.02138587,0.03924249,0.058689784,0.070047475,0.072367,0.07636133,0.09584004,0.12997244,0.15942156,0.16172604,0.13156198,0.0844329,0.041962747,0.015672302,0.0043486557,0.0009831288,0.000360559,0.00024715293,0.00023487468,0.00023573443,0.00024244831,0.0015735733,0.0080232145,0.027210811,0.06455785,0.1185622,0.17410773,0.21274032,0.21916467,0.19585018,0.15719613,0.12912254,0.13048212,0.1674217,0.22272463,0.2703401,0.2877828,0.2749444,0.24840195,0.23050314,0.2280107,0.23055112,0.220219,0.19181925,0.15827148,0.13762422,0.13575564,0.13982695,0.13360162,0.11045951,0.07798221,0.047157645,0.024644008,0.011079468,0.0041018096,0.0023542328,0.007264998,0.02453521,0.05941562,0.110390164,0.16490006,0.20464659,0.21576774,0.19772835,0.16380395,0.13573356,0.13054883,0.15386564,0.19240357,0.22598104,0.23234743,0.20561506,0.1534488,0.099828094,0.0676477,0.070003286,0.09993216,0.1348896,0.15060367,0.13539536,0.097976506,0.05648188,0.026289647,0.01036507,0.00431259,0.0021873994,0.0016594728,0.003178685,0.009103471,0.021913016,0.04360065,0.074115574,0.111844204,0.15227975,0.19109352,0.22024965,0.23289658,0.22005181,0.18363756,0.13199694,0.0824821,0.04539579,0.024624774,0.015640108,0.013431233,0.0135600865,0.01357115,0.0125198765,0.011365681,0.013791456,0.026567101,0.057128936,0.10864041,0.17562139,0.2450702,0.3015613,0.33428526,0.33969578,0.32153642,0.28522742,0.23596652,0.17877139,0.12434975,0.089383245,0.091166876,0.13571459,0.21046019,0.28732288,0.3389461,0.35415637,0.34322235,0.32421628,0.30921412,0.29765955,0.2863457,0.27639043,0.2724162,0.2717212,0.2630675,0.23457842,0.18761754,0.13586229,0.09933213,0.09172366,0.11743655,0.16908807,0.23217845,0.290742,0.3313075,0.3447592,0.32526472,0.2752813,0.20611586,0.1357509,0.07927971,0.04476294,0.034658477,0.04904434,0.08834326,0.14809757,0.22089599,0.2919422,0.34922317,0.38327953,0.39564514,0.39177692,0.37954962,0.36414495,0.3491397,0.3356863,0.3238835,0.31216034,0.3039453,0.30154574,0.3095784,0.32272613,0.33554804,0.33806407,0.3287697,0.3102369,0.29060462,0.27247247,0.25066283,0.21659833,0.16925214,0.119775616,0.08597162,0.081333734,0.10706421,0.14925748,0.18778789,0.20775647,0.2100509,0.20535372,0.20542936,0.21333943,0.22310364,0.22255588,0.20052005,0.1572591,0.10453478,0.059145942,0.029157594,0.013489016,0.005967984,0.0040006675,0.009547158,0.029009499,0.064485736,0.109816335,0.14599717,0.15637936,0.13463263,0.09392059,0.053029653,0.029857451,0.033499867,0.065574236,0.11747072,0.16876876,0.19750811,0.190654,0.15595755,0.112433285,0.0831908,0.08102407,0.10513011,0.1393397,0.16164987,0.16083139,0.14432028,0.13552022,0.15527791,0.2081393,0.2784617,0.34080005,0.37820646,0.39133504,0.3925601,0.3927652,0.39001492,0.38002995,0.358552,0.33386365,0.3141317,0.30705854,0.30602503,0.29581705,0.26188174,0.20384915,0.13882081,0.08772716,0.06390641,0.06416431,0.07457391,0.07934304,0.073073626,0.0657396,0.07696346,0.120942056,0.19367771,0.27409828,0.33843932,0.37496662,0.38405392,0.36926413,0.3297204,0.26653996,0.18890549,0.11440351,0.05916297,0.03244176,0.03711596,0.07084111,0.12502655,0.18344308,0.23018718,0.25701573,0.26704654,0.26750627,0.2633512,0.25220355,0.22793777,0.18599282,0.13155507,0.077606745,0.03842432,0.0196476,0.017280102,0.02250083,0.028529465,0.03494621,0.044644583,0.058587264,0.07327545,0.0865461,0.10523728,0.13881402,0.18726768,0.2308706,0.24505545,0.21926421,0.16878396,0.121783204,0.09686861,0.09257393,0.091977626,0.08338094,0.06642637,0.053640615,0.058353316,0.08955584,0.14295752,0.19865263,0.22891511,0.21681136,0.17144449,0.122807324,0.101024956,0.1163707,0.15627915,0.19827203,0.22708668,0.23957634,0.23923896,0.22504519,0.1942956,0.14788099,0.096771985,0.05352967,0.025568197,0.012311757,0.0125605455,0.029113146,0.06496651,0.11314481,0.15364186,0.16442272,0.13942747,0.094168685,0.055104908,0.04245223,0.059452046,0.09458369,0.12609214,0.13710622,0.12146049,0.09107984,0.061490938,0.044060115,0.036528368,0.03225802,0.025672786,0.017392542,0.009971007,0.0052131373,0.0040757847,0.009773138,0.029479949,0.068266176,0.122530155,0.17629953,0.21461624,0.2317462,0.23815875,0.2419343,0.24609347,0.23964952,0.21694076,0.17597063,0.12806593,0.083779655,0.053274423,0.040067796,0.047810093,0.07773354,0.12314749,0.16467874,0.17905265,0.15713081,0.1106802,0.06295066,0.030636346,0.017435364,0.017360441,0.022399733,0.02642058,0.030027939,0.042375952,0.07874644,0.14526868,0.23050098,0.30594233,0.34957388,0.3569807,0.34432325,0.32743552,0.31651592,0.31066385,0.30864966,0.30362394,0.28911778,0.2565958,0.20807754,0.15249793,0.10504619,0.07383304,0.058895137,0.053001147,0.05317917,0.065169714,0.10159517,0.16684097,0.24939382,0.3213774,0.35969543,0.35693136,0.33036378,0.3023704,0.28973734,0.2912314,0.2990133,0.30633065,0.31140435,0.31305864,0.3062278,0.28776896,0.25809303,0.2237289,0.19024812,0.16113393,0.13506211,0.11122473,0.08997003,0.075851284,0.07005515,0.07132038,0.07489085,0.08334593,0.10026451,0.12771215,0.15561415,0.17454386,0.18025655,0.18033098,0.18110354,0.1818602,0.17368853,0.14929588,0.11210913,0.074467145,0.049148668,0.038539935,0.03589749,0.03240532,0.025512658,0.020593291,0.027101526,0.05331929,0.09832736,0.15305796,0.2019918,0.23667634,0.25527787,0.2652222,0.27239296,0.27925643,0.2819886,0.27514556,0.26015824,0.24377535,0.23253171,0.22123577,0.1984633,0.15927324,0.1137833,0.08226532,0.07790207,0.09916828,0.13125227,0.16209984,0.18862188,0.21475373,0.23700726,0.244588,0.22604753,0.18349527,0.12980007,0.08108538,0.045818333,0.024407906,0.01264594,0.0064170533,0.0032202129,0.003726031,0.012753386,0.041018177,0.09592509,0.17440931,0.25443152,0.3114731,0.32896826,0.3111001,0.26852956,0.21442479,0.15816692,0.11086148,0.07975004,0.06436458,0.057881072,0.05588579,0.0635033,0.08778834,0.12780549,0.16646625,0.18316345,0.16642095,0.12476347,0.07660531,0.038861386,0.016966043,0.008999695,0.012607074,0.030255893,0.06472548,0.11172495,0.15761876,0.18742192,0.1960423,0.19047628,0.18390645,0.18516286,0.19473803,0.2047648,0.20518823,0.19035679,0.16233113,0.12830727,0.09572444,0.07110809,0.060559195,0.06862156,0.09559548,0.13786554,0.18865691,0.23797624,0.27048525,0.27329108,0.24491943,0.20113885,0.16231821,0.13929857,0.12712364,0.11776491,0.11329221,0.1261964,0.16348135,0.21633895,0.26585186,0.2997787,0.3153019,0.31292024,0.2886199,0.24325009,0.18641363,0.13564663,0.10470361,0.10363909,0.13735904,0.20247193,0.27986953,0.3402609,0.3642366,0.352911,0.32553828,0.29633185,0.2695315,0.23906638,0.20531745,0.17437182,0.15592259,0.15139629,0.15409414,0.15374482,0.14715515,0.14251411,0.1537476,0.18818611,0.23473628,0.26881227,0.2669071,0.22610773,0.16661318,0.12092341,0.11494154,0.15148918,0.2126775,0.26801,0.29942617,0.3022207,0.28710195,0.26152286,0.23138356,0.19788902,0.16328333,0.12886102,0.09764564,0.076926984,0.07693695,0.10167971,0.14195049,0.17830312,0.19741619,0.19916783,0.19447856,0.19046043,0.19046743,0.19398206,0.20179631,0.20881839,0.2080491,0.19428031,0.17140503,0.14816551,0.13403684,0.13463053,0.14923182,0.17013128,0.18572487,0.1888622,0.1797017,0.16548015,0.15438579,0.15197784,0.15764715,0.16539888,0.17050533,0.17529203,0.1871925,0.20996541,0.2344805,0.24691759,0.23608772,0.20631509,0.16990656,0.14390199,0.13801992,0.15202098,0.17392212,0.1906376,0.2000164,0.21321301,0.24096973,0.27795264,0.3055766,0.30878204,0.29160675,0.2710135,0.2608854,0.2597196,0.25381926,0.23089994,0.18784605,0.13403541,0.08201586,0.042955603,0.01949152,0.008935393,0.0054515526,0.0050007836,0.0063204058,0.011210711,0.023315085,0.044087872,0.06889832,0.086782075,0.088000186,0.07186979,0.047587853,0.026545761,0.014508643,0.010491211,0.010567651,0.011707234,0.012480285,0.012534569,0.011920724,0.011154366,0.0107623525,0.011949466,0.018290088,0.0381685,0.08200581,0.15228052,0.23534937,0.3055844,0.34475568,0.35281208,0.3430958,0.323002,0.29209802,0.25040627,0.21081378,0.18808317,0.18600464,0.19060226,0.18640481,0.17166525,0.16107051,0.17042588,0.19892164,0.22969206,0.24393342,0.23958017,0.22856049,0.22212742,0.22116588,0.22263336,0.23447663,0.2649334,0.31097773,0.3452122,0.34394827,0.30203858,0.24472915,0.20163584,0.18980695,0.20473789,0.23127387,0.26057357,0.28674266,0.30426458,0.29879788,0.26655808,0.2179224,0.17474736,0.14911553,0.14086802,0.1455944,0.16053656,0.1807899,0.19355626,0.18878375,0.16815071,0.148826,0.14856462,0.17494638,0.21951495,0.2665281,0.30453077,0.3310794,0.34952688,0.35710385,0.34858653,0.32178113,0.28796983,0.26364276,0.25840566,0.2660924,0.26846626,0.2505239,0.21132046,0.16562085,0.13164549,0.118902445,0.12534803,0.14258091,0.16151743,0.17339961,0.17152935,0.1575228,0.14358942,0.14710276,0.17296408,0.2082925,0.22821693,0.2191744,0.1875033,0.15774603,0.15559947,0.19207716,0.2557758,0.31669953,0.34898368,0.34608248,0.32273474,0.29901454,0.28666046,0.2902641,0.303433,0.31476668,0.3052843,0.26800165,0.21136951,0.15952124,0.13194789,0.1356227,0.16382922,0.20676477,0.25021115,0.27975887,0.27894035,0.24774934,0.20079781,0.16746837,0.1639101,0.19069467,0.22894293,0.26363698,0.28165784,0.27940664,0.25349498,0.21171539,0.16764466,0.13913707,0.13743646,0.1650163,0.21438372,0.26597035,0.2956045,0.2861839,0.2454708,0.20016845,0.17948394,0.19278963,0.22903621,0.26901773,0.29762676,0.3108631,0.31018606,0.30318794,0.29381248,0.2835839,0.2666721,0.239498,0.20243682,0.16451077,0.1356292,0.1234085,0.12630618,0.13941188,0.15724613,0.18132561,0.21391921,0.25269946,0.2838368,0.28950456,0.25965878,0.20528686,0.15304115,0.13203487,0.14774507,0.18180114,0.1991693,0.18296333,0.14036867,0.102332704,0.09360675,0.12210532,0.1726876,0.22021091,0.24286662,0.23321177,0.20149343,0.16616149,0.14656676,0.15194859,0.17999588,0.21338202,0.23066778,0.217541,0.17837752,0.13150145,0.09641456,0.08040056,0.07891185,0.0858255,0.10537604,0.14320594,0.19510107,0.23893583,0.25832835,0.25462022,0.2486067,0.25431266,0.2733477,0.29627597,0.31724653,0.32991824,0.32954946,0.30988166,0.27342653,0.22723989,0.18407679,0.15124637,0.13314942,0.12822159,0.13857323,0.16164249,0.19071434,0.20752297,0.2038065,0.18388222,0.16634429,0.15924214,0.1593821,0.15798736,0.15470846,0.15512918,0.16303058,0.17646487,0.19071113,0.20032442,0.20148061,0.18988061,0.16710798,0.13850185,0.11758369,0.11670206,0.14433838,0.19270225,0.2420764,0.26845875,0.26455134,0.24102704,0.21845753,0.20423663,0.19336607,0.17592251,0.15483554,0.13818876,0.13004787,0.122341454,0.10734565,0.088645004,0.08019146,0.09111625,0.11552904,0.13606499,0.14099057,0.13156462,0.12264746,0.12580228,0.14364238,0.16380048,0.17298962,0.16294323,0.13930723,0.114626296,0.10453991,0.1171005,0.14827718,0.17998616,0.19210304,0.17529564,0.1376286,0.09559489,0.06354108,0.045640137,0.038547497,0.036055014,0.036848854,0.04507653,0.062750876,0.083594225,0.0927682,0.083193935,0.059031337,0.03542857,0.020905608,0.016156359,0.014406286,0.012270442,0.009879703,0.010517295,0.014709632,0.020324491,0.02320767,0.02247191,0.020400992,0.020393396,0.022431485,0.023725579,0.022787547,0.021797353,0.024016535,0.029128747,0.032511514,0.030950008,0.026317239,0.025789304,0.032936994,0.04479456,0.05176574,0.048553247,0.036919087,0.02566403,0.02029528,0.020987095,0.022957047,0.02383037,0.02425518,0.026390128,0.029747292,0.032330994,0.034252036,0.04011491,0.056087643,0.08421723,0.12010476,0.15547957,0.18363434,0.20088564,0.2071358,0.20345545,0.19415474,0.18387325,0.17840463,0.18015026,0.1923093,0.21738316,0.26002154,0.31945693,0.3852694,0.43583187,0.44927385,0.42068967,0.36745217,0.31799972,0.28870782,0.2736636,0.2541689,0.21621563,0.16249372,0.10899494,0.07718001,0.083119184,0.12895927,0.20009339,0.27051863,0.31777754,0.3309252,0.31230295,0.26925763,0.21312799,0.158621,0.12480863,0.12855643,0.17529441,0.25406396,0.3382683,0.39860383,0.4142429,0.38348332,0.31981835,0.24511635,0.17925043,0.13627787,0.12194156,0.13429622,0.16495569,0.20510389,0.24769934,0.2907047,0.3285515,0.35505697,0.36021075,0.3449465,0.31555197,0.28451586,0.25471413,0.22458832,0.19133049,0.16285194,0.1548645,0.18113627,0.2376991,0.29852116,0.32935712,0.31117472,0.2532313,0.18415451,0.13275145,0.11198505,0.11899186,0.14062467,0.16562504,0.1857268,0.19747168,0.19558096,0.17939174,0.15407158,0.13671,0.14160137,0.17364073,0.21552484,0.24808776,0.25860125,0.26032197,0.27023295,0.30172276,0.34568155,0.38713694,0.41145006,0.41686603,0.4076759,0.38925496,0.36443588,0.33678356,0.31332734,0.2988986,0.29062593,0.27911162,0.25756344,0.22704977,0.1921755,0.15679176,0.12261287,0.09388479,0.07776323,0.081302345,0.10775647,0.15155225,0.20407207,0.2525008,0.28938353,0.30534437,0.29702297,0.26199841,0.20820606,0.14864221,0.100375295,0.07436281,0.07230077,0.08780714,0.113446325,0.14095196,0.16261245,0.17118295,0.17262536,0.18091853,0.20683277,0.23926719,0.25361776,0.23441182,0.19093388,0.15379833,0.15014006,0.18811262,0.24963975,0.3073847,0.3418602,0.3501999,0.33733597,0.30627915,0.26233545,0.22089039,0.20349033,0.2177093,0.2459203,0.25666246,0.23230563,0.18300681,0.13976939,0.12842949,0.15440264,0.19962162,0.24207537,0.26990667,0.28628403,0.2958738,0.29594,0.28182027,0.25683552,0.23376743,0.21968967,0.2098223,0.191728,0.16004606,0.12201953,0.093714796,0.09262688,0.12399134,0.17942576,0.23686801,0.2834793,0.31750488,0.347935,0.37138227,0.37810048,0.3608251,0.3303776,0.30048966,0.27468154,0.24273014,0.20172141,0.16515253,0.15663832,0.18493776,0.23891835,0.29074833,0.32113442,0.32213888,0.3054299,0.28213266,0.26195318,0.2402279,0.2122003,0.17386504,0.13124801,0.09163839,0.06415465,0.055237878,0.068039306,0.096001066,0.12441578,0.14190714,0.15177535,0.16934238,0.20418532,0.24964076,0.28860104,0.30939925,0.3110529,0.29795277,0.27580366,0.25338864,0.24554656,0.26051688,0.29018477,0.3075904,0.29006943,0.23554629,0.16527133,0.10326931,0.06113893,0.038712684,0.03517739,0.056673553,0.10423539,0.16818704,0.22565186,0.26417235,0.28284812,0.29317835,0.297341,0.29574692,0.28802273,0.2837808,0.29021612,0.30916592,0.33222553,0.34964916,0.35437998,0.3465511,0.32880482,0.3045179,0.27436784,0.23981291,0.20123965,0.16074628,0.123871215,0.10382736,0.11829803,0.17525344,0.26275304,0.34996077,0.4065013,0.41662452,0.3819042,0.3151789,0.23473771,0.16031702,0.10455873,0.07195663,0.06229791,0.0786292,0.11901325,0.17424627,0.22526193,0.26052716,0.27621773,0.27820706,0.2720215,0.26224732,0.24972916,0.23064338,0.20330006,0.17352201,0.15536581,0.15683824,0.17006828,0.17588107,0.16013797,0.12483918,0.08430716,0.054238323,0.0447202,0.059445262,0.10033683,0.16808291,0.2589313,0.35539353,0.4273958,0.44710732,0.41159034,0.34713614,0.29163253,0.26763666,0.27240673,0.28653866,0.2906611,0.27507746,0.24065815,0.19466703,0.14728218,0.10628721,0.07576033,0.05494373,0.047030598,0.061243296,0.10999294,0.18974699,0.27712938,0.33639967,0.34897503,0.31857428,0.26713675,0.21125655,0.16163518,0.12263321,0.10049313,0.09593061,0.10443478,0.11355256,0.114146195,0.10157297,0.08145999,0.06329123,0.059363425,0.079471886,0.12652618,0.19361866,0.26234463,0.3109655,0.32211637,0.29115692,0.22849841,0.15467606,0.09300762,0.05615674,0.043339062,0.041923806,0.04029675,0.034904126,0.032575533,0.044072017,0.07397648,0.1145156,0.14691065,0.1550107,0.13608861,0.10237938,0.06963559,0.046711307,0.035508078,0.037098847,0.057237804,0.09777248,0.14864494,0.18625028,0.19328885,0.17338197,0.14842616,0.13457327,0.1281585,0.11450576,0.08743232,0.055747002,0.034768596,0.036561284,0.07010902,0.13758177,0.23003292,0.32182574,0.38556942,0.40620032,0.38980666,0.3523228,0.30934057,0.27103725,0.24551515,0.23868416,0.2504125,0.26989397,0.28339267,0.28626597,0.29117814,0.313895,0.35928085,0.4110432,0.44958103,0.45882097,0.44085273,0.40078902,0.35053945,0.29734957,0.25463232,0.23104961,0.22636922,0.22428143,0.2085052,0.18014497,0.15899266,0.16276287,0.18970837,0.22211342,0.24679823,0.26153004,0.27081367,0.27265093,0.2648565,0.24898352,0.23324986,0.22267778,0.21709292,0.21545558,0.2195217,0.23079461,0.24645238,0.2621019,0.27737316,0.29543245,0.31727108,0.33718395,0.34275845,0.3256861,0.28918597,0.25383365,0.23965682,0.25294983,0.27716812,0.2933597,0.29417422,0.29470932,0.3119879,0.35194218,0.39591467,0.42291594,0.42368233,0.40871647,0.3873376,0.35772192,0.31492743,0.2668158,0.23365688,0.22766425,0.23988366,0.24653302,0.22903216,0.18844657,0.14445476,0.12411386,0.14291151,0.19328566,0.24613649,0.27339056,0.26753175,0.24383312,0.22012676,0.20126976,0.18112369,0.15817428,0.14197014,0.14425862,0.16480152,0.18953602,0.20535499,0.21285848,0.22551398,0.25097665,0.28350523,0.30911532,0.32179618,0.32296693,0.314881,0.29456463,0.2642632,0.23855262,0.23970942,0.2783001,0.33867562,0.38887239,0.4022503,0.38054487,0.3431054,0.31317377,0.29632142,0.28921887,0.28117374,0.26815033,0.24937856,0.23180759,0.2201841,0.21362112,0.20598455,0.19812502,0.20722614,0.2534713,0.33758652,0.4261768,0.47681823,0.4717549,0.43269274,0.3943143,0.37215936,0.35598484,0.3286736,0.2856371,0.23403573,0.18413396,0.14407448,0.12338817,0.13444917,0.18232386,0.25672984,0.32811463,0.3676351,0.35980996,0.3163099,0.26380718,0.2341888,0.24344385,0.28515887,0.33169746,0.35494223,0.34472468,0.3125845,0.27892935,0.2549899,0.24076645,0.22857486,0.2164883,0.20995408,0.2206607,0.25191662,0.29118916,0.31320915,0.3015155,0.26322824,0.2286036,0.2254561,0.25959447,0.30970767,0.347458,0.35864207,0.3452153,0.31735316,0.27669063,0.22704661,0.1760196,0.14544033,0.15142417,0.19809107,0.26456153,0.32157052,0.34202075,0.32054582,0.26861075,0.20816673,0.15746954,0.12856416,0.12663369,0.14797993,0.17852026,0.19736375,0.18994051,0.15656054,0.1130567,0.08054754,0.077889495,0.10950363,0.16379613,0.21319841,0.23714577,0.23260413,0.21693861,0.20412023,0.19557096,0.18428342,0.17328191,0.17474139,0.19799362,0.23440717,0.26705387,0.2803122,0.27245668,0.2473634,0.21339393,0.17547053,0.13918504,0.11188892,0.10788822,0.14087312,0.21422155,0.31182167,0.40587983,0.46661326,0.47737443,0.43763697,0.36638084,0.28769425,0.22294116,0.17732106,0.14881818,0.13120154,0.1290694,0.1515419,0.20659661,0.28317115,0.35616776,0.39858365,0.39975992,0.36456546,0.3061212,0.23779589,0.1728221,0.12571433,0.11239802,0.14531024,0.22257702,0.32334566,0.41337824,0.46719602,0.4749728,0.44417465,0.38479236,0.31138715,0.23815686,0.17820692,0.13846268,0.12439414,0.14387451,0.1952812,0.25744644,0.29079375,0.2705824,0.20480354,0.13490461,0.103002466,0.12865794,0.19780345,0.2759278,0.33124772,0.35262263,0.34724784,0.3266144,0.29221478,0.24427211,0.18427211,0.12469078,0.07884744,0.063489,0.088860534,0.1516425,0.23002438,0.2915423,0.31739762,0.30888507,0.28303874,0.25135082,0.21795005,0.18646538,0.16627237,0.16541894,0.17839743,0.18819924,0.17837101,0.14630803,0.10360395,0.06942745,0.06112023,0.08951339,0.15022634,0.22725813,0.29351303,0.33047464,0.32871428,0.29776672,0.25210473,0.21047233,0.18584527,0.18836696,0.22243802,0.2799525,0.33769274,0.36461487,0.34543097,0.28892887,0.22006167,0.1577674,0.10806123,0.069210984,0.040518597,0.022501096,0.013996343,0.011768608,0.012608647,0.014740751,0.017225731,0.01950364,0.021120304,0.021905057,0.022055684,0.024602758,0.037278097,0.07209956,0.13407882,0.21308191,0.28266972,0.32054806,0.32111228,0.29760036,0.26418203,0.23005724,0.2015677,0.18719453,0.19045608,0.20162594,0.20421165,0.19134976,0.17527282,0.17683816,0.20290053,0.24269676,0.2776426,0.30649102,0.33552876,0.36764082,0.38373598,0.36633527,0.31468368,0.25619632,0.22459827,0.24222338,0.30446205,0.38350272,0.44317338,0.45921454,0.43169332,0.37910166,0.32734215,0.2955536,0.29355037,0.31613603,0.34817663,0.36672595,0.35830072,0.32463825,0.28825215,0.27439997,0.29780975,0.34937844,0.4015983,0.424778,0.4056603,0.3600653,0.31884524,0.303442,0.3064913,0.30183944,0.27497026,0.23371218,0.19998759,0.18102676,0.17242199,0.16846307,0.18196058,0.22777641,0.30568412,0.38709608,0.4405658,0.45138255,0.42899647,0.38561192,0.32809615,0.26023644,0.19284189,0.14180385,0.12140328,0.137341,0.18171974,0.23783465,0.2914951,0.3415886,0.3899205,0.4280946,0.4397335,0.42222866,0.39459643,0.3799484,0.37900725,0.3730661,0.34323695,0.29389825,0.24081682,0.20012403,0.17447121,0.16830613,0.18974298,0.2452821,0.32185873,0.3885237,0.41994953,0.41388202,0.39100227,0.3691435,0.3533477,0.33538958,0.3084335,0.27209976,0.23240907,0.19970687,0.1834016,0.18911703,0.21309741,0.24282475,0.26395634,0.2682095,0.26006582,0.2525384,0.25897002,0.28393188,0.31624654,0.3359073,0.3233086,0.2763654,0.20981444,0.14718015,0.106048144,0.0922701,0.1036649,0.1338836,0.1773241,0.22577107,0.27061772,0.3013275,0.31432104,0.30771878,0.28480855,0.2442717,0.1917942,0.13529395,0.09005332,0.06685837,0.071945004,0.10552158,0.16035928,0.22304423,0.26932928,0.27957305,0.24478672,0.18014766,0.11122128,0.06431793,0.05179213,0.070130445,0.10292671,0.12895797,0.13850139,0.13791442,0.14354442,0.16060275,0.17750175,0.17607963,0.15054284,0.11059522,0.071686886,0.043279503,0.02819231,0.026023045,0.03477701,0.04888581,0.060161415,0.062762104,0.057571452,0.04963995,0.04310894,0.037073124,0.030156905,0.022789916,0.018642673,0.018932784,0.022593332,0.02681073,0.031491514,0.036495585,0.041230142,0.042710766,0.040694106,0.037413925,0.036360737,0.037755657,0.03946614,0.040387437,0.042149708,0.045933332,0.049966186,0.050257176,0.046658278,0.043185364,0.043997217,0.048304494,0.050846826,0.049850762,0.04645808,0.044217367,0.04171427,0.0383651,0.035231814,0.035613924,0.038950846,0.040762406,0.038870823,0.03636308,0.037990864,0.04306534,0.044961795,0.040923733,0.037245113,0.05002739,0.08918002,0.15045728,0.21192496,0.2522044,0.2631412,0.25413543,0.23772512,0.21990144,0.20201312,0.18876179,0.1879359,0.19969617,0.21445237,0.22132063,0.22154045,0.22342116,0.23232667,0.24185683,0.24661957,0.24922039,0.25972477,0.2805188,0.30276188,0.31704435,0.32388988,0.32981312,0.33361235,0.32181814,0.28564492,0.23091613,0.1791262,0.14685307,0.13839936,0.14853148,0.17102693,0.20462866,0.24392267,0.2799507,0.29638556,0.28674176,0.25875023,0.23776217,0.23878944,0.25545347,0.2593852,0.23744227,0.2011074,0.17642926,0.17110308,0.16999944,0.15801416,0.13814975,0.13457566,0.1638871,0.22366442,0.28433672,0.31498274,0.2988368,0.24919671,0.19266361,0.15151457,0.12958737,0.123756625,0.14078781,0.19631886,0.2950195,0.41248575,0.51098204,0.5687801,0.5922645,0.59549224,0.5776148,0.5289567,0.45175353,0.368685,0.305949,0.27320483,0.26339754,0.26245084,0.26595724,0.27422106,0.29062548,0.30811885,0.31664696,0.30649698,0.28105435,0.25199607,0.2315163,0.22149736,0.2161522,0.21215522,0.21301551,0.22470456,0.24839096,0.28378594,0.32936797,0.37852713,0.4132143,0.41732016,0.3913819,0.35627863,0.33248532,0.32583284,0.32749328,0.3254478,0.31285322,0.28905547,0.26414955,0.24912494,0.24997866,0.25537547,0.25350404,0.23971826,0.22650826,0.22488737,0.2394964,0.26145706,0.2803756,0.28519732,0.2718326,0.24060394,0.20112664,0.16517816,0.14500691,0.1453194,0.16754873,0.20603006,0.24911813,0.27907372,0.28580812,0.27459553,0.26003835,0.24991457,0.24166436,0.23551582,0.24147081,0.26908568,0.31219923,0.35314468,0.3784059,0.38686514,0.38142017,0.36240503,0.3312539,0.2992667,0.2870538,0.31139442,0.37343574,0.44935298,0.50656515,0.51972896,0.49553022,0.45919737,0.43653288,0.42642114,0.4121109,0.38236368,0.3513386,0.3459185,0.37738717,0.42840806,0.46389428,0.46314982,0.42720476,0.37605238,0.3238765,0.27876648,0.23968542,0.2089773,0.1891839,0.1841911,0.19234173,0.20774995,0.22149223,0.22799468,0.22392704,0.21039684,0.19246186,0.18538348,0.20852804,0.275213,0.3754799,0.4793745,0.54549485,0.55052996,0.49216035,0.39874947,0.3003887,0.22577631,0.18053581,0.16205728,0.15876822,0.16579139,0.18175799,0.2065456,0.23533495,0.25809547,0.27143136,0.2798984,0.29455683,0.3157593,0.33551335,0.34412363,0.34407556,0.34102333,0.33640066,0.32123017,0.29257342,0.25556257,0.22491644,0.2093842,0.21514846,0.24100137,0.2812408,0.3184469,0.3355721,0.32545963,0.300748,0.27741483,0.26589593,0.26127115,0.26213232,0.270518,0.2982554,0.3445175,0.39775798,0.43016556,0.4239714,0.37976977,0.32921886,0.30537507,0.32015523,0.3469372,0.3529292,0.33126178,0.3116711,0.32698548,0.37836185,0.43323037,0.45572305,0.43858957,0.40109733,0.36834243,0.34716406,0.33069125,0.31177798,0.29798284,0.30871275,0.35518098,0.42765746,0.49237195,0.5175449,0.49043205,0.42687914,0.36156726,0.33182797,0.35976195,0.43512765,0.52074176,0.5768671,0.58987194,0.5746862,0.55279213,0.5283662,0.49200952,0.43618742,0.3741267,0.32742998,0.3173102,0.34393063,0.39351067,0.43687895,0.4495536,0.4210138,0.36501384,0.3119037,0.28412524,0.2856859,0.29725614,0.30806676,0.3200462,0.34510776,0.3745731,0.38388386,0.35474682,0.29942313,0.24951224,0.22936022,0.24047343,0.27198276,0.31427193,0.3596591,0.39784297,0.41584018,0.41482997,0.40668046,0.40496087,0.40314934,0.38641837,0.34803358,0.30065992,0.26202974,0.23781425,0.22312112,0.21441297,0.21770208,0.24135423,0.28438032,0.3349557,0.37150875,0.37517723,0.3363366,0.2681528,0.19542909,0.14155345,0.110994816,0.101077385,0.11231931,0.1497873,0.20611477,0.25843632,0.28485325,0.28663337,0.2838036,0.29544076,0.31752625,0.33423886,0.33160737,0.31368288,0.28999507,0.26903906,0.25151616,0.23832275,0.23139887,0.233467,0.24656121,0.2718414,0.31001368,0.3522917,0.38380697,0.38550058,0.35534084,0.3042307,0.25617802,0.22418545,0.21225995,0.21116517,0.21430677,0.21625845,0.21700364,0.21535575,0.21443276,0.21983899,0.24330838,0.28743544,0.34538722,0.39365995,0.41447338,0.39930844,0.36100316,0.31910017,0.293763,0.29144442,0.30461422,0.31719586,0.3220214,0.32448998,0.337865,0.3600675,0.379068,0.3806895,0.37378034,0.37449762,0.39300475,0.41598395,0.42401052,0.40664935,0.36743066,0.31935537,0.27504873,0.24634916,0.23394328,0.23017786,0.226259,0.22102249,0.22016053,0.22283965,0.22558653,0.2249585,0.22755325,0.2389146,0.25872162,0.27817556,0.2880049,0.28508314,0.2703632,0.25032878,0.23304276,0.23548941,0.27140665,0.34358636,0.42633983,0.48390055,0.4875617,0.44196215,0.37010875,0.30277178,0.25540575,0.2336424,0.23170209,0.24245524,0.2575877,0.27075186,0.27760437,0.2764225,0.27058506,0.2664376,0.27100208,0.28734517,0.31549048,0.3511807,0.38683164,0.4114982,0.41865075,0.40910462,0.3900111,0.36698234,0.3409224,0.31223556,0.28188,0.25682518,0.24257731,0.24743585,0.27141467,0.31098047,0.3537804,0.38637373,0.39669457,0.37773797,0.33583102,0.2862775,0.25423753,0.25214598,0.27801272,0.309274,0.32741952,0.32557678,0.31465232,0.30724403,0.30935836,0.3181518,0.3246955,0.3209914,0.3017602,0.27167448,0.24285482,0.2312574,0.24908054,0.2936761,0.34860888,0.38468313,0.38647664,0.35848454,0.32872316,0.31836954,0.32831487,0.3366917,0.32306504,0.28558323,0.24097018,0.20792489,0.1932794,0.19318794,0.20146199,0.2150264,0.23100477,0.24771123,0.26317605,0.27677408,0.28324685,0.2778096,0.26329985,0.25369835,0.26339027,0.29057512,0.31677496,0.32051882,0.29520726,0.2543752,0.22158241,0.21805377,0.24598666,0.28871128,0.31798097,0.3178872,0.29209968,0.25630248,0.22021174,0.18261959,0.14318757,0.10808024,0.08894106,0.087892435,0.0992389,0.11031685,0.116811015,0.11770558,0.11908555,0.1203822,0.122200005,0.121388234,0.120412074,0.1222116,0.13309069,0.16281755,0.21793135,0.2965819,0.374851,0.42449808,0.4237864,0.37996924,0.3149128,0.25459984,0.21181713,0.18767351,0.17630981,0.16882984,0.15924221,0.14284427,0.121714294,0.09940997,0.08355177,0.07706464,0.08118427,0.090065025,0.09956116,0.10404561,0.10425287,0.10070803,0.09785956,0.09811407,0.10454459,0.1182904,0.13759364,0.1584633,0.17471683,0.18374854,0.18419051,0.17607187,0.15995377,0.14087296,0.12910229,0.12942684,0.13807268,0.14476351,0.15033805,0.16125713,0.18054233,0.19752933,0.20429708,0.2076425,0.21805008,0.23282261,0.23201714,0.21042705,0.18336444,0.17806368,0.19659537,0.21978165,0.22270907,0.20273392,0.17314875,0.15037577,0.14020783,0.14633098,0.1727057,0.21885104,0.26743832,0.2917695,0.2775067,0.23589045,0.19467731,0.17277181,0.16847013,0.1662404,0.15596473,0.143461,0.14322083,0.1608852,0.18517245,0.19758879,0.19555408,0.19677664,0.2261072,0.2866054,0.3574306,0.40965137,0.43212476,0.43132123,0.41800764,0.39598796,0.36544707,0.32946837,0.29254735,0.26102424,0.24344893,0.25121966,0.28630188,0.3345367,0.37046817,0.37612918,0.35205832,0.3133674,0.27804,0.25769496,0.25715744,0.27204397,0.29194236,0.30451223,0.30852285,0.31416765,0.33321458,0.36251315,0.38266417,0.37544355,0.33985603,0.29639474,0.26728192,0.26048398,0.2647371,0.26540804,0.2611227,0.26134655,0.27308115,0.28650615,0.28517255,0.25828645,0.20985036,0.15165542,0.099257775,0.0673718,0.06734953,0.09479465,0.13108817,0.15240729,0.1548029,0.15267825,0.16261427,0.18041438,0.18624054,0.1690886,0.1356374,0.103717536,0.08176172,0.07363763,0.0831477,0.11660669,0.17183666,0.23207395,0.27744445,0.29641315,0.29895163,0.30255702,0.32195547,0.34871224,0.3656142,0.35476968,0.32188582,0.28347823,0.26358768,0.26795653,0.28796723,0.3003442,0.29242396,0.26747605,0.24337669,0.23407935,0.24067521,0.255713,0.26903215,0.2751108,0.26897064,0.2505599,0.22551356,0.20773895,0.21215545,0.24359767,0.28980818,0.3291953,0.34471866,0.3407844,0.33071867,0.32710338,0.3220044,0.30679074,0.27979195,0.26093307,0.2712916,0.32228324,0.4000531,0.47305512,0.5061644,0.48590043,0.43511704,0.4006658,0.4199135,0.48823103,0.5660868,0.61114246,0.6117594,0.58115244,0.53832245,0.48898426,0.4343071,0.3756304,0.31971186,0.27289912,0.24354704,0.24223034,0.27704775,0.34404242,0.4188997,0.4676093,0.4663289,0.4210181,0.3637798,0.32869068,0.33266708,0.36468777,0.40321544,0.42312762,0.41662824,0.38907146,0.35973582,0.34067187,0.33078793,0.31724605,0.29127714,0.25598022,0.22407003,0.20784098,0.21399881,0.23936617,0.2764014,0.31323907,0.34303197,0.36180332,0.37499177,0.38793993,0.40174922,0.40527377,0.3866395,0.34588507,0.29869846,0.26527056,0.25652042,0.27282658,0.3052952,0.3417165,0.37029397,0.38828865,0.4014372,0.4131554,0.41697872,0.40319082,0.37958547,0.37173495,0.40234864,0.4639801,0.5214409,0.541337,0.518194,0.475637,0.44276825,0.43254316,0.43551043,0.430653,0.403952,0.358336,0.31017888,0.27787817,0.2731105,0.29961413,0.3494923,0.4037654,0.43692434,0.43398586,0.39978608,0.3602133,0.34060708,0.35104275,0.37552425,0.39129138,0.38309193,0.35383907,0.31248477,0.26766035,0.22641438,0.20120277,0.20164579,0.22734098,0.2587068,0.2773832,0.27411595,0.25920263,0.24418527,0.24417417,0.27341107,0.34393942,0.4460331,0.5446326,0.6022653,0.60454845,0.5648844,0.5002028,0.42143977,0.33558217,0.2553574,0.19490395,0.16673727,0.18016268,0.23512173,0.3143759,0.385998,0.42526475,0.42788652,0.4090909,0.38216987,0.35444117,0.32399735,0.29421347,0.2699592,0.26069927,0.26839063,0.2890027,0.31294537,0.33526778,0.35497928,0.37394962,0.39122096,0.40507698,0.41097674,0.40221703,0.37505507,0.33379647,0.29297706,0.26535928,0.25946614,0.27652428,0.3143063,0.36023858,0.39662835,0.41001117,0.40397096,0.39112768,0.38212004,0.37762895,0.37500814,0.3734261,0.37453887,0.3804189,0.39008912,0.39873824,0.39853004,0.38238928,0.3501931,0.3088795,0.27433303,0.26380542,0.2874907,0.33854887,0.39398393,0.42910758,0.42834044,0.39228603,0.33218732,0.26705006,0.21692292,0.19648927,0.20894767,0.2462569,0.29424444,0.34047294,0.37526354,0.3946954,0.39930955,0.39524817,0.38962603,0.38153732,0.36767712,0.3432019,0.3200554,0.3092043,0.3210459,0.3449745,0.3707318,0.38829574,0.39950275,0.4007496,0.38626948,0.3490864,0.29726723,0.24809863,0.22010529,0.21517885,0.22258991,0.22922574,0.2349766,0.24926078,0.27899912,0.3181868,0.35179257,0.36746466,0.3623965,0.34494984,0.32660046,0.31791666,0.3176497,0.31701478,0.30181262,0.2684641,0.22319858,0.1813894,0.1551649,0.15368903,0.18027143,0.23397577,0.29903647,0.35153723,0.36594406,0.34023002,0.29104555,0.24848396,0.23033214,0.23828371,0.25772277,0.27002397,0.2635999,0.23858581,0.2082998,0.18953873,0.19381942,0.21797943,0.24694705,0.2642596,0.26183155,0.24620743,0.23200719,0.23921669,0.27291277,0.32035762,0.34705827,0.33445945,0.2944372,0.27387252,0.30513406,0.38131973,0.45124474,0.47034478,0.4320041,0.37961975,0.3615837,0.39664185,0.4512534,0.4789954,0.4588307,0.42187357,0.41194046,0.44448605,0.4863255,0.49451652,0.4552252,0.39634112,0.36097094,0.37159076,0.4157189,0.45239595,0.4478155,0.39594483,0.32356188,0.26181924,0.23034237,0.23500146,0.2761954,0.3443264,0.4127321,0.45208576,0.45455375,0.44534567,0.4516629,0.4759345,0.49152792,0.48245415,0.4592919,0.4468799,0.448859,0.44433102,0.4145085,0.3615831,0.30439457,0.2522559,0.20590715,0.16647846,0.15055476,0.1749825,0.24012035,0.32130924,0.38495505,0.41066253,0.3994715,0.3696692,0.34125865,0.3254532,0.31880406,0.3064996,0.27843115,0.2367423,0.20165254,0.19310017,0.21774793,0.25659427,0.2776161,0.25978053,0.20850205,0.15003914,0.10755586,0.08820578,0.08512164,0.08789169,0.09181907,0.09852473,0.11636233,0.1491046,0.19202673,0.23119824,0.26163304,0.29323056,0.34268382,0.4106165,0.4733355,0.49972203,0.47233889,0.40182647,0.3156424,0.24541217,0.20810111,0.20280004,0.2142132,0.23026216,0.24821411,0.27340588,0.3017001,0.32224086,0.3199146,0.2969876,0.26720417,0.25804642,0.28459552,0.34444427,0.4065065,0.43790302,0.4227939,0.37586722,0.32324696,0.28372613,0.26170143,0.25200254,0.24530941,0.22975473,0.19755393,0.15373981,0.11561412,0.102603614,0.119211614,0.15494442,0.19027726,0.21485902,0.22672008,0.23258902,0.23527457,0.23704796,0.23846175,0.24220742,0.24944861,0.25779644,0.2644273,0.267051,0.26903173,0.27418852,0.28850475,0.3090127,0.32812127,0.33191255,0.31983206,0.2995321,0.2871922,0.28486553,0.28943965,0.29418817,0.30774474,0.34044644,0.3964173,0.4575309,0.49649248,0.4925724,0.44757447,0.38417113,0.33137646,0.30767897,0.30990574,0.32059225,0.3263351,0.3282806,0.33556926,0.347798,0.357079,0.35714397,0.35510957,0.35624608,0.3586364,0.3492118,0.32524955,0.29374608,0.26905128,0.25656608,0.25695267,0.272681,0.30807233,0.35853508,0.40275192,0.41740385,0.3956828,0.35256198,0.31117883,0.2839755,0.27241793,0.26790273,0.264765,0.25662908,0.24296151,0.22076821,0.19065934,0.15736979,0.1375392,0.14950563,0.19518502,0.25066566,0.27945885,0.2647018,0.21974456,0.17991823,0.17166732,0.19947612,0.24462073,0.2828132,0.3020972,0.30840418,0.31941774,0.3432909,0.37269637,0.387838,0.37613705,0.3402339,0.29633617,0.2620926,0.24821973,0.25282776,0.26379654,0.26248136,0.23786938,0.1903071,0.13498607,0.09069844,0.07622776,0.100987375,0.16007274,0.23144056,0.28690627,0.31302786,0.32235372,0.33976722,0.37585127,0.4116902,0.421494,0.39700392,0.35923946,0.32995626,0.31340662,0.2922962,0.2536424,0.20252363,0.16380684,0.15926535,0.1924961,0.24203496,0.2820965,0.2988082,0.29802418,0.2908945,0.28216323,0.26977476,0.25266775,0.23683237,0.23195584,0.24544828,0.27722797,0.3149195,0.34089187,0.34147394,0.3251859,0.3162333,0.3390746,0.38974166,0.43715957,0.4443078,0.40303734,0.34055102,0.29752934,0.29245362,0.3124624,0.32982695,0.33224297,0.32726863,0.33305973,0.35594082,0.3886106,0.4112954,0.4080222,0.3712283,0.30851457,0.23402415,0.16620182,0.12116942,0.10862666,0.12632722,0.15814207,0.18922545,0.21140993,0.22971632,0.2449152,0.25703946,0.2621549,0.26466903,0.26645222,0.2678066,0.26266,0.25262886,0.24603991,0.25820982,0.29217264,0.33788744,0.3702263,0.37604073,0.3533496,0.3201055,0.28661558,0.26275578,0.24383701,0.22827183,0.20982982,0.1907955,0.17812632,0.1858303,0.22442313,0.28934303,0.3579173,0.40201083,0.41404763,0.4138268,0.43103337,0.47074643,0.51041925,0.5192302,0.49490702,0.45751357,0.4315226,0.41423145,0.3890355,0.3415502,0.27814865,0.21293755,0.15764612,0.115791894,0.089761235,0.07865665,0.077956885,0.07796995,0.07518161,0.07418471,0.082957685,0.10100984,0.11782711,0.12534563,0.12683702,0.13427614,0.15209408,0.17029154,0.17592497,0.1684698,0.16435674,0.1761784,0.19942956,0.21276592,0.20323221,0.17689185,0.15306002,0.1435454,0.14778948,0.1603263,0.17995678,0.20273279,0.21753818,0.20700508,0.16729252,0.11076597,0.06217878,0.037567873,0.037854828,0.052459896,0.070847094,0.0931792,0.12107717,0.15345858,0.17812085,0.19092698,0.19531499,0.20137781,0.20584653,0.20045663,0.18094598,0.15566652,0.13469301,0.12344556,0.12481012,0.13928206,0.16106643,0.17532016,0.17207356,0.15729542,0.14830317,0.15433002,0.1655212,0.16669221,0.15520276,0.14696914,0.15617615,0.17929351,0.1943769,0.18355429,0.14936335,0.11487479,0.10412157,0.122667216,0.1534566,0.16962741,0.15894471,0.13318296,0.121419616,0.14247487,0.18965308,0.23535903,0.25601903,0.2494223,0.22906256,0.20915417,0.19687326,0.19758224,0.21594886,0.24779774,0.27839336,0.29144183,0.28535724,0.27234012,0.26515594,0.26285103,0.25307474,0.22729427,0.19197404,0.16591734,0.16715574,0.1985029,0.24399309,0.2742777,0.2697684,0.23471652,0.19706877,0.17872496,0.1792048,0.1791554,0.1711324,0.1677988,0.18960364,0.23683728,0.2909249,0.33251378,0.36037806,0.38070616,0.3926891,0.38577303,0.35858336,0.32506415,0.30232015,0.29353073,0.28679544,0.27232578,0.2513182,0.23500545,0.23186111,0.24036174,0.25116345,0.2540862,0.24624127,0.23122136,0.21540546,0.20772524,0.21367408,0.2336878,0.25258663,0.25490135,0.23179673,0.19406736,0.15591785,0.13154005,0.1287927,0.15821351,0.22631752,0.32649362,0.42784643,0.48658535,0.47258565,0.3936657,0.29206958,0.21554478,0.19062917,0.2123096,0.25998852,0.307712,0.33838925,0.33949828,0.31107995,0.26291767,0.21535508,0.18918985,0.19767146,0.24193536,0.30697808,0.36481822,0.3863822,0.359635,0.3003886,0.23858498,0.20093046,0.19222979,0.20270677,0.21532446,0.22169584,0.21989833,0.21261334,0.20005465,0.18553166,0.17560703,0.17751653,0.1887394,0.19979393,0.20406131,0.2049517,0.21502496,0.2412969,0.2859533,0.33503258,0.37366107,0.38127556,0.3568482,0.31170267,0.2732149,0.25714764,0.26406923,0.27854574,0.2875919,0.28572938,0.27528942,0.25931874,0.24429704,0.23668222,0.24203543,0.25551668,0.26736274,0.2686526,0.26261854,0.26175836,0.27727032,0.30722427,0.33512065,0.34358463,0.3263946,0.29300532,0.26037106,0.24158569,0.24050514,0.2484088,0.2554687,0.25400946,0.24784555,0.24059542,0.23646323,0.23310792,0.23043883,0.22673918,0.22381632,0.22536759,0.24089313,0.2749176,0.32151416,0.36269262,0.38683036,0.3950487,0.40121233,0.41199312,0.42370012,0.41984072,0.39265403,0.3477044,0.3136965,0.31560865,0.36238122,0.4286925,0.47941843,0.48618385,0.4496317,0.39092767,0.34211707,0.32319307,0.33222064,0.3448236,0.33893606,0.31070414,0.27790627,0.25523588,0.24724549,0.24639975,0.2544506,0.27840152,0.33134624,0.40843996,0.48940524,0.5374902,0.5317703,0.47689733,0.40799573,0.35894027,0.3447225,0.35398042,0.36897174,0.3817481,0.39541355,0.41404656,0.43074223,0.4349023,0.41994,0.39099038,0.35657755,0.32279274,0.29411197,0.27905047,0.29165438,0.33569738,0.39741156,0.44337726,0.44855252,0.40635672,0.34022546,0.2788265,0.2489546,0.25316927,0.27847686,0.29848072,0.29917213,0.28487107,0.27849817,0.29796693,0.34341553,0.3928107,0.42597318,0.43777573,0.44324735,0.45001206,0.44932306,0.42222676,0.36544678,0.29803237,0.24599236,0.22763628,0.24252073,0.27885282,0.31271195,0.32469508,0.30607244,0.27394238,0.2547624,0.27408734,0.32793537,0.3904761,0.42195013,0.40434313,0.34947374,0.29350007,0.27050534,0.29223204,0.34790793,0.40896735,0.44622353,0.43992272,0.39304766,0.3272271,0.26909488,0.23407017,0.22584838,0.2401119,0.27104965,0.30353525,0.32274583,0.31756166,0.29395342,0.26346347,0.23731947,0.21910334,0.20894313,0.20577012,0.20708852,0.20960729,0.21237355,0.21721637,0.2254712,0.234113,0.23800087,0.23782645,0.23766045,0.24414265,0.25842395,0.2865615,0.33303466,0.39843544,0.46452466,0.50768805,0.5120613,0.4828336,0.43402064,0.37670305,0.3128778,0.24301745,0.17104499,0.10625873,0.058813035,0.03810231,0.04970934,0.0931038,0.15730762,0.22173631,0.2660425,0.28352833,0.2871264,0.2980077,0.3272488,0.3651185,0.39181128,0.39394364,0.37571833,0.34857175,0.32352197,0.3012445,0.28166035,0.26181483,0.24544722,0.2350486,0.23578286,0.24706459,0.26501727,0.28412688,0.30223438,0.32418498,0.35102534,0.37598237,0.3811094,0.35719764,0.31150168,0.26688516,0.24034292,0.23324858,0.2342549,0.23530984,0.23694551,0.24502374,0.2575442,0.26700807,0.2639897,0.2504373,0.23300414,0.22209688,0.22376436,0.2441457,0.28196833,0.32751918,0.36310747,0.37974557,0.3806015,0.37685263,0.37062144,0.35739723,0.3329575,0.30286005,0.2758676,0.26083663,0.26334235,0.28886428,0.33175805,0.3761119,0.39873287,0.39131817,0.36222005,0.3323363,0.31431344,0.308156,0.30246553,0.29046237,0.27516028,0.26659346,0.26950088,0.28088307,0.2971615,0.32085797,0.355826,0.4008992,0.44326296,0.46995834,0.46987984,0.4489247,0.41865876,0.3972104,0.38940117,0.39089218,0.38660264,0.36547783,0.32604277,0.2782181,0.23725252,0.2144165,0.21468823,0.23816158,0.28224182,0.33931306,0.39271748,0.42208955,0.4146529,0.37362123,0.3178004,0.27153486,0.25783572,0.2858574,0.34551534,0.406437,0.4370108,0.42228088,0.3747686,0.32272992,0.2946576,0.30132937,0.33128563,0.3576944,0.36005902,0.34095964,0.32432285,0.33211836,0.3672365,0.40999985,0.43893018,0.44110557,0.4227798,0.3953571,0.3712214,0.3516667,0.3348585,0.31681657,0.29818535,0.28048134,0.26769486,0.26295924,0.2683045,0.27841818,0.28642926,0.2860326,0.28044942,0.27179876,0.2626271,0.25289318,0.25454217,0.28282002,0.34785113,0.43541202,0.51438177,0.5500856,0.53068566,0.47238716,0.4126729,0.3784691,0.37257496,0.37071422,0.35074487,0.3033032,0.24044836,0.18033831,0.14506757,0.14904507,0.1945098,0.26234162,0.3242439,0.35749412,0.36088166,0.34583724,0.32880715,0.31977317,0.3239825,0.33753085,0.3514018,0.35782528,0.35624328,0.35126734,0.34366965,0.33308956,0.32051265,0.31409112,0.31668946,0.3248956,0.32510725,0.31115273,0.28472003,0.2613909,0.25532705,0.27198023,0.30121103,0.32451156,0.3345782,0.33574226,0.34140134,0.3504171,0.35919967,0.3680943,0.39242232,0.43769667,0.4872377,0.51004744,0.49174872,0.44634876,0.3993826,0.36253962,0.32985613,0.29287294,0.25638208,0.23588018,0.24308746,0.27223143,0.30195355,0.3113897,0.29680783,0.27349928,0.2646385,0.28100297,0.31534854,0.3430262,0.34763637,0.32771245,0.30458152,0.29598138,0.31222966,0.34236634,0.37130705,0.3841325,0.3827922,0.37967774,0.38445613,0.39264044,0.38844275,0.36589506,0.33122763,0.301126,0.28564456,0.2889442,0.3062179,0.32762107,0.34213284,0.34587845,0.34953794,0.36410236,0.38993418,0.40686408,0.397233,0.35813293,0.30696952,0.26379207,0.24159904,0.24408494,0.26635966,0.29566705,0.31463206,0.31333923,0.29892993,0.29124942,0.3080946,0.3483614,0.3922813,0.41296995,0.39722314,0.35441187,0.30906487,0.28189787,0.27420887,0.27398935,0.26872241,0.26021823,0.2564428,0.26249495,0.27017415,0.27139387,0.26864192,0.28229854,0.32619485,0.39239904,0.44691786,0.4674809,0.4607203,0.46015504,0.482421,0.51423985,0.5206634,0.48391673,0.41407993,0.34360433,0.30274275,0.30469775,0.3381071,0.37494102,0.39027676,0.3829377,0.3781248,0.4033934,0.46189234,0.52253014,0.54717314,0.51825565,0.45403114,0.3868102,0.3425158,0.32760462,0.33796716,0.3600361,0.38072738,0.38953197,0.3960301,0.4134883,0.4468299,0.47435716,0.47225693,0.43471572,0.37967432,0.32858488,0.29011735,0.26436487,0.24984275,0.24709196,0.25216073,0.25842214,0.26018023,0.2579707,0.25467876,0.2541025,0.25646666,0.26287845,0.27106884,0.27861366,0.2799395,0.2756361,0.2746165,0.2908616,0.32850134,0.37239257,0.39888883,0.39507306,0.36873075,0.3360041,0.30668834,0.28114554,0.25629926,0.23041731,0.20401917,0.18352628,0.179726,0.1987412,0.23391812,0.26999602,0.29858914,0.31812963,0.33164075,0.336435,0.33647037,0.33349633,0.32745576,0.3050039,0.26180217,0.20940584,0.17828405,0.19165742,0.24884818,0.32058457,0.36740676,0.36664638,0.32297364,0.2606795,0.19910789,0.14712273,0.10408772,0.07269475,0.054757673,0.05328985,0.06474965,0.08551997,0.10659411,0.12217472,0.12650947,0.121502854,0.111800976,0.10408843,0.10250929,0.10614047,0.11225348,0.115797244,0.114669,0.107578315,0.0950844,0.07936211,0.06348453,0.053488094,0.05108128,0.055283535,0.060006738,0.06455631,0.07114596,0.08181614,0.09078333,0.09158909,0.088686824,0.101038635,0.14571469,0.2189184,0.29155275,0.3311962,0.32413065,0.28526697,0.24718064,0.24024941,0.27667543,0.33662593,0.38355216,0.3836707,0.33876657,0.27711865,0.2337357,0.21808624,0.2170432,0.21527798,0.21522014,0.2322845,0.27129528,0.3127382,0.32692546,0.3009263,0.25625762,0.22857727,0.23838674,0.26914975,0.28588542,0.26684174,0.22565901,0.19906853,0.21208072,0.2548791,0.28918174,0.28393844,0.24193762,0.1950076,0.17688684,0.19224389,0.22162329,0.23164104,0.21063964,0.16973166,0.14634079,0.16497195,0.22169025,0.27512524,0.28422186,0.2376856,0.16694845,0.12031617,0.13225365,0.20064597,0.2909375,0.3542455,0.35861388,0.3031193,0.21725857,0.1400087,0.10559427,0.13307478,0.2191831,0.3354744,0.4355274,0.48318484,0.47084835,0.42163768,0.36074707,0.2992928,0.23264407,0.16089804,0.095538236,0.055224087,0.052799553,0.08749032,0.14597778,0.20368366,0.23821075,0.23481615,0.19771187,0.14141378,0.087777115,0.053981524,0.05192106,0.08366578,0.14145154,0.20881855,0.26733223,0.30908024,0.33971515,0.37195718,0.40695933,0.43005022,0.42372707,0.38742423,0.34494063,0.3246832,0.3446064,0.39555597,0.45261517,0.48151278,0.46497455,0.41049075,0.3507861,0.3148636,0.31151682,0.32577097,0.34056568,0.3473047,0.3470924,0.34228265,0.332265,0.31922343,0.30614176,0.30130622,0.3093995,0.33425114,0.37134862,0.40955636,0.4319123,0.42458567,0.38689086,0.33333123,0.28572777,0.25759926,0.2479794,0.24600334,0.24449436,0.2406276,0.23648666,0.23075634,0.22681315,0.22806871,0.23726885,0.24899073,0.25476635,0.25511387,0.26026317,0.28614938,0.33666947,0.40156838,0.45557034,0.4738934,0.445932,0.38996068,0.34133396,0.33108914,0.35423648,0.3802584,0.3710085,0.3204684,0.24853991,0.19384956,0.18229763,0.22092183,0.29122975,0.35828725,0.3887324,0.3674787,0.30999905,0.24446934,0.1991096,0.18522222,0.20750599,0.2612137,0.33875677,0.42185935,0.49160668,0.5305324,0.5319786,0.49864173,0.44149792,0.37525463,0.31442747,0.27453598,0.2665298,0.29296556,0.33910272,0.38141358,0.3979417,0.3821217,0.344246,0.30537936,0.28851733,0.30572745,0.35321042,0.4109067,0.45328388,0.46327582,0.4372659,0.38679326,0.3279613,0.28061935,0.25682858,0.2588784,0.2750022,0.29471108,0.3125682,0.32881233,0.33393574,0.31963563,0.28527927,0.24971087,0.22936459,0.229859,0.23898786,0.24402474,0.23998584,0.23576267,0.24642546,0.28121725,0.3345702,0.38511026,0.41292736,0.40796295,0.37933767,0.33919707,0.30274114,0.28104094,0.28768542,0.32750034,0.38509294,0.4283098,0.42720088,0.38741007,0.34498295,0.34385476,0.39107963,0.45550814,0.4881936,0.46709284,0.40675986,0.3506631,0.3333784,0.36354032,0.41371024,0.4491392,0.44654348,0.41114745,0.35801354,0.30569038,0.2690809,0.26556095,0.30058715,0.3593761,0.41088364,0.43042445,0.41383353,0.37223879,0.32093185,0.2714269,0.23336023,0.21342252,0.21589501,0.2406729,0.27778897,0.30978325,0.3168625,0.3002322,0.2754892,0.26899078,0.28705838,0.32672822,0.3679618,0.39721164,0.40143672,0.3859657,0.35892713,0.32889402,0.2926107,0.24860054,0.19999142,0.1570239,0.12814194,0.12323015,0.14556389,0.18651736,0.21916765,0.2207944,0.19329458,0.16439438,0.15980656,0.1788583,0.20046246,0.20388113,0.18728589,0.16252021,0.14843345,0.1584722,0.19815738,0.25625274,0.31468582,0.35787573,0.38648775,0.40597007,0.41518918,0.40334317,0.36559114,0.3125479,0.26194504,0.22220562,0.18764062,0.14964513,0.10866592,0.07510393,0.057211593,0.054739207,0.06036232,0.07415292,0.10545942,0.1625537,0.23548622,0.2942367,0.3133321,0.290276,0.2531301,0.2304715,0.23408528,0.24571283,0.24069698,0.20620584,0.15657751,0.12100688,0.12043641,0.15311699,0.19542743,0.22730565,0.24167512,0.24730225,0.24903391,0.24560745,0.23349051,0.21620639,0.20253234,0.19719565,0.19982086,0.20617002,0.21499534,0.22502601,0.23547351,0.2426311,0.24344248,0.23632286,0.22520451,0.21973027,0.2289914,0.25372657,0.2798011,0.28781363,0.26771286,0.23067383,0.20404331,0.20718937,0.23599796,0.26006073,0.25301364,0.20949148,0.15187809,0.104487665,0.07956945,0.07119886,0.06970384,0.06943714,0.07302662,0.084789924,0.105165385,0.12564741,0.13272245,0.118562095,0.09124357,0.07339664,0.087016486,0.1346268,0.19475067,0.23331518,0.23188858,0.20018573,0.17316324,0.17686826,0.2095408,0.23907147,0.23727603,0.20090024,0.15618517,0.12949388,0.13156636,0.15069138,0.17564668,0.19988276,0.22926831,0.26231816,0.29469672,0.31174693,0.30742487,0.2785633,0.23518609,0.18739235,0.15060768,0.13246654,0.13366008,0.1425616,0.14703502,0.14349239,0.13949281,0.14388748,0.15634336,0.16898654,0.17383128,0.16943032,0.15739642,0.14123906,0.12410855,0.11236056,0.109777965,0.116121314,0.12436089,0.12880571,0.12899892,0.1289026,0.13019933,0.12848069,0.11987496,0.10626716,0.09627954,0.09481495,0.09794385,0.096306406,0.08571807,0.07268897,0.06739698,0.07443879,0.087453574,0.09648851,0.095753096,0.08813875,0.08015909,0.07604787,0.074600756,0.07244903,0.06740759,0.060212422,0.052290145,0.045754362,0.042407334,0.04390609,0.04902104,0.054281604,0.055560138,0.051150147,0.041982245,0.03058034,0.019577472,0.010813497,0.005034882,0.0019078635,0.00056392263,0.00012405195,2.4296101E-05,1.155898E-05,8.962969E-06,6.7394703E-06,4.8869756E-06,3.4557177E-06,2.3796554E-06,1.6856044E-06,1.3941924E-06]