[0.10696694,0.109263726,0.11229616,0.11186259,0.10769125,0.10327852,0.10289255,0.10619793,0.10886377,0.106453754,0.09846305,0.08845142,0.080591924,0.07735775,0.078190535,0.081029885,0.08334,0.083797015,0.08237968,0.080080606,0.077846676,0.076119,0.074663095,0.072980136,0.07049834,0.06723855,0.063628875,0.060697507,0.05903926,0.058959145,0.059866235,0.061253387,0.06243225,0.063194014,0.06311477,0.06206666,0.059988067,0.05734536,0.05453709,0.051867917,0.049346715,0.04730666,0.046337098,0.047023755,0.04907119,0.051274866,0.052280158,0.051840574,0.050887894,0.050696347,0.05154911,0.053137843,0.05499081,0.05746119,0.06109933,0.06664299,0.074003585,0.08218811,0.088801175,0.09173274,0.08997036,0.084848724,0.0783361,0.072414964,0.067907184,0.06531668,0.06516567,0.067854606,0.07329473,0.080289505,0.08779791,0.09506783,0.10198734,0.10791708,0.112269066,0.11529928,0.11833238,0.122924924,0.12952566,0.13865471,0.15134794,0.16977406,0.1940881,0.22139663,0.24615629,0.2650214,0.27933225,0.29387423,0.31127894,0.3286975,0.33963457,0.34048128,0.33531737,0.3346994,0.34793326,0.37440726,0.40405548,0.4254837,0.43763313,0.44641218,0.45531666,0.45556512,0.43557617,0.39354765,0.34398988,0.30563805,0.28824762,0.2873203,0.2923201,0.2948439,0.29249862,0.28647497,0.28005168,0.27686524,0.27959895,0.288214,0.30092132,0.31696197,0.33634722,0.35751453,0.37409866,0.3793689,0.3717878,0.35837808,0.3498025,0.35114884,0.35960433,0.36683843,0.37006268,0.37159875,0.37622762,0.38178945,0.38254538,0.37524953,0.36395893,0.35658833,0.35669184,0.3625224,0.3674517,0.3672222,0.360723,0.35113803,0.3426946,0.33807132,0.33925354,0.3441725,0.34920934,0.34703627,0.33598936,0.3201368,0.30906528,0.30730963,0.31272176,0.31957582,0.32563522,0.33154866,0.33780417,0.34138477,0.33983755,0.33292523,0.32487878,0.32036516,0.32256183,0.32987055,0.33664787,0.33641514,0.32679304,0.31143832,0.2965389,0.28648338,0.28151813,0.28013524,0.27936804,0.2758832,0.26582527,0.24827312,0.22659664,0.20681775,0.19440429,0.19103432,0.19632523,0.20825364,0.22548105,0.24680166,0.27260318,0.30434325,0.34271148,0.3850286,0.42610285,0.46059468,0.48572388,0.49769583,0.49448526,0.47702277,0.45675418,0.4464974,0.45278287,0.46655378,0.47397205,0.46798941,0.4549611,0.44566667,0.4456581,0.4524261,0.46153092,0.46938106,0.47356746,0.4697921,0.45541275,0.43106875,0.40202317,0.37323943,0.3473858,0.3238571,0.30218002,0.2829775,0.2685636,0.25993547,0.25583377,0.25282302,0.2503862,0.2524473,0.26546827,0.2891835,0.31486,0.33136848,0.33803537,0.34542823,0.36309123,0.38670686,0.40025625,0.39350638,0.3710766,0.34754387,0.3312547,0.32210806,0.31848514,0.3242117,0.34178826,0.3623329,0.3693221,0.35260764,0.3198112,0.28785774,0.26887035,0.2617656,0.25833866,0.25170884,0.24179204,0.23343162,0.23122253,0.2356276,0.24470405,0.26088932,0.28892636,0.3280376,0.3623294,0.37158272,0.34717628,0.30286005,0.2612073,0.23633258,0.22567485,0.22024457,0.21488832,0.21095003,0.20918761,0.20771308,0.20443964,0.2028203,0.2090955,0.22667952,0.2511523,0.27449527,0.29069614,0.29885635,0.2990502,0.29002056,0.27000803,0.2412672,0.21063231,0.18671711,0.17576636,0.1783126,0.18920703,0.19936311,0.20250624,0.19843386,0.19314785,0.19197305,0.19696492,0.20826918,0.22837679,0.259967,0.29859746,0.33092216,0.3412803,0.32546106,0.29222813,0.25795338,0.23444496,0.22618641,0.23096548,0.24243742,0.25376406,0.25961387,0.26087287,0.2610289,0.26370147,0.2677077,0.26953736,0.2648743,0.2514799,0.22994338,0.2060975,0.18947387,0.18894029,0.20540786,0.2310375,0.25313273,0.26206192,0.25443402,0.23354352,0.20633905,0.18152964,0.16637409,0.16377155,0.17003603,0.17685671,0.17645098,0.16588496,0.14780222,0.12695572,0.10749147,0.09113079,0.07820789,0.068104915,0.06040399,0.055007145,0.05218308,0.05203748,0.05375823,0.055725306,0.05585891,0.052903567,0.04689993,0.039393514,0.03256019,0.028309064,0.027463853,0.030263057,0.037770312,0.053161845,0.07937456,0.11495471,0.15102965,0.17675775,0.1878355,0.19256492,0.20476365,0.2322874,0.26863995,0.3004314,0.31851768,0.32632598,0.33100483,0.33736393,0.34361842,0.35339046,0.3725363,0.4063954,0.44540167,0.4755541,0.48455873,0.47418597,0.45034516,0.4205234,0.3875184,0.35438442,0.32327434,0.2979926,0.28176537,0.27692243,0.27987602,0.2832494,0.27912638,0.26740375,0.2538694,0.24591029,0.245355,0.24849075,0.24973096,0.24494343,0.23559861,0.22887015,0.23655652,0.26538542,0.30923665,0.35002103,0.37003827,0.3643799,0.34021842,0.30958715,0.2829336,0.27071038,0.28176472,0.31883395,0.37205493,0.42224526,0.44930887,0.44444647,0.41534305,0.3835524,0.37138736,0.38537407,0.410785,0.4227489,0.4083914,0.37680554,0.35080263,0.34847793,0.37066022,0.40261343,0.42357683,0.42108667,0.3964498,0.36292338,0.33452392,0.32066548,0.32391,0.34336284,0.37339166,0.4061561,0.43323454,0.45043603,0.4570618,0.45492992,0.44680712,0.43524817,0.4223777,0.40764463,0.3909025,0.37198052,0.35441434,0.3427821,0.34277526,0.3555828,0.37651047,0.3961065,0.40664944,0.40614292,0.39721462,0.3838022,0.36829925,0.3525488,0.3371105,0.32385805,0.3149598,0.314116,0.3218637,0.33565032,0.35028717,0.36237988,0.36997882,0.37135538,0.36441407,0.349087,0.32854852,0.30840078,0.29540682,0.2959207,0.3120197,0.337145,0.357797,0.36240318,0.34917393,0.32541168,0.30053008,0.2812834,0.2706129,0.2676479,0.2665353,0.2587835,0.23858368,0.20816088,0.17665897,0.15395905,0.14404099,0.14403798,0.14835265,0.15388024,0.16079764,0.17138468,0.18664843,0.20635776,0.22694944,0.24455015,0.25529444,0.25920537,0.2577997,0.2544552,0.2525932,0.2559363,0.26511908,0.27658924,0.28488493,0.288908,0.2924095,0.2992239,0.3082061,0.3157972,0.32205698,0.32991502,0.34027672,0.34785342,0.3471706,0.3379948,0.32636416,0.31775174,0.31226447,0.3046915,0.29002893,0.26778024,0.24333145,0.22419108,0.21702804,0.22418208,0.24457979,0.27283207,0.30268547,0.32704678,0.34177294,0.34460178,0.33775374,0.32562962,0.31401575,0.30531907,0.29912528,0.29382256,0.2906563,0.29078624,0.29269812,0.29008976,0.27840954,0.2577534,0.23355348,0.21008949,0.189213,0.17015831,0.1535042,0.13998777,0.13085394,0.12518713,0.12199241,0.11969549,0.11832335,0.11842415,0.120856605,0.12564628,0.13159727,0.13770933,0.14360392,0.15073346,0.159747,0.16965885,0.1770171,0.18016277,0.18096639,0.18439345,0.19313289,0.20580554,0.21811877,0.2268117,0.23010446,0.22730686,0.21852686,0.20592083,0.19355579,0.18554215,0.18449114,0.19004142,0.19982879,0.21013351,0.21928644,0.22690551,0.23282194,0.23386528,0.22714353,0.21359552,0.1996843,0.19160903,0.18947263,0.18717016,0.17935324,0.16765338,0.15899204,0.15760736,0.16014518,0.15932016,0.15227197,0.14287405,0.13652098,0.13328974,0.12871954,0.11946815,0.10745027,0.09707648,0.09046178,0.0855468,0.07909692,0.070038125,0.060149577,0.0518993,0.046639424,0.044169728,0.043471187,0.043057024,0.041665725,0.03898625,0.035901,0.033523668,0.031794768,0.029742122,0.026357623,0.021966891,0.017527895,0.014320408,0.013228779,0.015394603,0.021838078,0.032473043,0.045365896,0.057970647,0.070367835,0.086177476,0.109174944,0.1383735,0.16712444,0.1899156,0.2082624,0.23002791,0.25942263,0.2899029,0.3087026,0.3078841,0.29219082,0.27258334,0.25873578,0.25388312,0.25982466,0.27819368,0.3102267,0.35138357,0.39208603,0.42018226,0.42909145,0.42154488,0.41003034,0.40757355,0.41792873,0.43166867,0.4345738,0.4201071,0.39367214,0.3662357,0.34430954,0.3281361,0.3153061,0.30544528,0.29927543,0.29691812,0.29737458,0.3003483,0.30687693,0.31790718,0.332854,0.34955505,0.3659493,0.38061175,0.39277962,0.40241954,0.411482,0.42370534,0.44094276,0.45941567,0.46955046,0.46274087,0.43822813,0.40536514,0.37811962,0.36615857,0.36983743,0.38127705,0.39171168,0.39598837,0.39297608,0.38270822,0.36609533,0.34663805,0.32818234,0.31239355,0.2964376,0.27874008,0.26115236,0.24971592,0.24902283,0.259486,0.27653766,0.29339454,0.30586877,0.31400087,0.32071945,0.3260717,0.32766512,0.3243844,0.3225298,0.33133355,0.3555682,0.38847837,0.4177852,0.4343493,0.4399381,0.44422874,0.45699343,0.47959602,0.50304717,0.5150648,0.5084401,0.48514625,0.45026025,0.4080069,0.36066282,0.31365415,0.27415985,0.24797319,0.23479085,0.22985537,0.22738934,0.22411747,0.21961772,0.21560015,0.21442163,0.21940167,0.23309763,0.257766,0.2932303,0.33903024,0.39118242,0.4420705,0.47833,0.4894823,0.47349393,0.44108048,0.40603235,0.37856546,0.35951886,0.34543696,0.33230624,0.3195051,0.30892178,0.30239156,0.30130157,0.30749658,0.32583323,0.3586334,0.39981234,0.43105328,0.4338312,0.40143928,0.34633267,0.28839558,0.24316843,0.21394469,0.19668816,0.18586725,0.17904119,0.1775492,0.18502478,0.20441769,0.23489147,0.26960805,0.29768953,0.30794656,0.296703,0.26948312,0.2396305,0.2187065,0.21319258,0.22155587,0.23883696,0.25672612,0.26911274,0.2735577,0.2733258,0.27200842,0.27093074,0.26872456,0.26638708,0.2670865,0.27620295,0.29465678,0.31903782,0.33984628,0.34919026,0.34516063,0.3339863,0.324591,0.32101116,0.32173577,0.3225424,0.32359868,0.32655787,0.33074412,0.32786128,0.3094051,0.27382794,0.23062909,0.19264056,0.16772674,0.15604253,0.15321855,0.15594935,0.16196705,0.17022784,0.17887568,0.18676072,0.19341499,0.19878514,0.20309901,0.2065602,0.21112831,0.21943311,0.23281181,0.24807842,0.25828865,0.25731692,0.24436605,0.22416995,0.2036003,0.18754415,0.17745881,0.17124255,0.16552417,0.15814672,0.14981411,0.14375322,0.14307795,0.15019709,0.1645186,0.18439324,0.20659836,0.23097761,0.25865516,0.29039237,0.32153443,0.34471372,0.35586798,0.35826293,0.3587328,0.36085847,0.3629353,0.36217666,0.35793105,0.35207054,0.34591666,0.34029853,0.33569458,0.3335593,0.33533502,0.3413374,0.34919238,0.35459885,0.35361412,0.34553245,0.33371902,0.32291755,0.31674305,0.31331566,0.30871347,0.29814038,0.28322056,0.26801482,0.2581431,0.25386518,0.25292078,0.25105342,0.24678956,0.23953772,0.23035778,0.21832867,0.20345886,0.18604155,0.16969623,0.15744622,0.15054826,0.14664476,0.14276814,0.13707022,0.12942864,0.12009563,0.10906345,0.096367694,0.08268437,0.06934086,0.057562858,0.048132654,0.041108087,0.03634751,0.03341287,0.032009166,0.0316793,0.032059487,0.0325221,0.032513637,0.0317778,0.03088738,0.031531256,0.035989106,0.046455543,0.06368831,0.08719987,0.11538666,0.1469564,0.18035175,0.21459407,0.24848445,0.28252494,0.31630266,0.3484231,0.37298247,0.38451573,0.380586,0.36753654,0.35676792,0.35963416,0.38268507,0.42504525,0.4805902,0.53352904,0.5655434,0.5617327,0.52688795,0.48247167,0.4567087,0.46433774,0.5004589,0.5435024,0.5692591,0.56194955,0.52265644,0.46532235,0.40773213,0.3602786,0.32744858,0.31604856,0.33879423,0.4019202,0.48851928,0.55997235,0.57971805,0.53951097,0.46242523,0.3833268,0.32656705,0.29963255,0.2994587,0.31950596,0.34929073,0.3736638,0.3781946,0.36040577,0.33347985,0.3166456,0.3185396,0.33056158,0.33660904,0.3297074,0.3175129,0.31151047,0.3123939,0.30968738,0.29557106,0.27529198,0.26186988,0.26127258,0.26849118,0.2741643,0.27611792,0.2780483,0.2858231,0.2993869,0.3151783,0.32695374,0.33299848,0.33463046,0.3360341,0.33801553,0.3392158,0.33733714,0.33316103,0.3304052,0.33140758,0.33518374,0.33540145,0.3283745,0.31330884,0.2956333,0.27994254,0.27136505,0.27124736,0.27845803,0.28754005,0.29396048,0.29628932,0.29624635,0.29449785,0.28962508,0.28002858,0.26570746,0.24863833,0.23243015,0.22180624,0.22080134,0.22992177,0.24741022,0.2717823,0.30408895,0.34293997,0.3805444,0.4032623,0.40240335,0.38168696,0.3580892,0.34966746,0.36654508,0.40368748,0.44519565,0.47003153,0.46535847,0.43471873,0.3986576,0.38051167,0.39020988,0.41721892,0.4391593,0.437091,0.40701368,0.3595874,0.31207347,0.27635083,0.2547972,0.24126089,0.22990565,0.2182281,0.20919172,0.20597285,0.21135797,0.22531527,0.24776113,0.27609995,0.30667266,0.33224827,0.3477383,0.3498154,0.3414595,0.3267256,0.3122581,0.30223,0.30067995,0.30770025,0.32217965,0.34009317,0.3567004,0.36522564,0.3601273,0.34063983,0.3132942,0.2878553,0.27044627,0.2602698,0.25283262,0.24588054,0.24067426,0.23968732,0.24182399,0.24361467,0.24076758,0.23234451,0.2193832,0.20505561,0.19235186,0.18439698,0.18251391,0.1860132,0.19193633,0.19723578,0.20023726,0.20180328,0.20449322,0.21126352,0.22300373,0.23746037,0.2508051,0.2619419,0.2745469,0.29336604,0.3174218,0.3371792,0.34054092,0.3223637,0.2901248,0.258716,0.2398117,0.2332254,0.22973692,0.2202294,0.20406745,0.18619889,0.17087854,0.15693976,0.14256203,0.1286988,0.11932022,0.116148524,0.117154844,0.1188762,0.12015615,0.12279612,0.12860392,0.13801534,0.1493941,0.161713,0.17353939,0.18434604,0.19274348,0.19866215,0.20207639,0.2040205,0.20507985,0.20542216,0.20445187,0.20186794,0.1991743,0.19877446,0.20233406,0.20863812,0.215706,0.22215788,0.22852407,0.23399258,0.23589276,0.22988077,0.21488424,0.19441009,0.17604019,0.16575854,0.16476004,0.16831285,0.16961545,0.16383718,0.15198831,0.14042376,0.13738216,0.14654721,0.16387294,0.17931776,0.18418932,0.17687614,0.16299792,0.1495683,0.139991,0.13336028,0.127626,0.12127557,0.113531165,0.10347671,0.09104425,0.07759819,0.065650634,0.057323158,0.053050518,0.051755015,0.05157971,0.050875206,0.048467696,0.043937918,0.037835497,0.031499706,0.026319196,0.022834139,0.020563824,0.018656531,0.01663971,0.014744033,0.013479352,0.013296834,0.014563649,0.018271366,0.026568672,0.04252411,0.06804545,0.10126746,0.13537465,0.16181199,0.17541999,0.17841506,0.17787957,0.18130396,0.19125105,0.20650089,0.22311126,0.23860528,0.25182092,0.2635845,0.27439842,0.2833177,0.2880595,0.2865194,0.27943972,0.2705998,0.26503706,0.26504847,0.2682604,0.2701999,0.26876757,0.2660688,0.2642695,0.26168618,0.2522941,0.23132919,0.19902964,0.1620041,0.1289392,0.10726216,0.09959313,0.10420378,0.1153452,0.12662055,0.13264208,0.13256738,0.12924646,0.12851429,0.13426381,0.14720583,0.16394867,0.18034427,0.19166501,0.19435923,0.18572168,0.16780354,0.14638385,0.1300123,0.1246532,0.13348055,0.15589432,0.18788783,0.22022583,0.24090095,0.24120319,0.22267456,0.19692178,0.17796718,0.172938,0.17955048,0.19122095,0.2033093,0.2142235,0.2223286,0.22462958,0.2196499,0.21083206,0.20502226,0.20775723,0.2189011,0.2335037,0.24543603,0.25226536,0.2563829,0.2619994,0.26941597,0.27469707,0.2744852,0.27188492,0.27289736,0.2785511,0.28174654,0.27415848,0.25578818,0.23469608,0.21964867,0.21295209,0.21156913,0.21272497,0.21516478,0.2187287,0.22094612,0.22071473,0.21801893,0.21568388,0.21417852,0.21291645,0.20983988,0.20639884,0.20488948,0.2072727,0.21134375,0.21437438,0.21518885,0.2151521,0.21532053,0.21564318,0.21736164,0.22306435,0.23518015,0.25132692,0.2665352,0.2749771,0.27476776,0.26641968,0.25457698,0.24651287,0.25112382,0.27320108,0.31106898,0.35906768,0.41153,0.46271583,0.5031338,0.5221769,0.51443666,0.4854261,0.44626257,0.4074371,0.37449336,0.35109067,0.34033206,0.34453753,0.36230636,0.38759756,0.4102619,0.42148712,0.4177877,0.4042745,0.38830796,0.37501112,0.36222425,0.34531608,0.32040668,0.28962746,0.2592872,0.2371312,0.22658592,0.22646785,0.23341036,0.24626295,0.26598704,0.29332563,0.3259016,0.35887644,0.38789368,0.4133437,0.43941414,0.47000828,0.5026812,0.5318141,0.5537164,0.5711744,0.5877351,0.60280514,0.61128855,0.60904104,0.59681994,0.57828116,0.55730367,0.5347616,0.5099525,0.48138472,0.44954,0.41582236,0.3819485,0.34818986,0.31559634,0.28609213,0.26249316,0.24565935,0.2346074,0.22708309,0.22067238,0.21366024,0.20551765,0.19721551,0.18958102,0.18201248,0.17350453,0.16454206,0.15853141,0.15936351,0.16898023,0.18521626,0.20357414,0.22044618,0.23639779,0.25526232,0.2796751,0.3064579,0.3267354,0.33169326,0.31921637,0.29676417,0.2768773,0.26976448,0.27597943,0.28666225,0.28849873,0.2736535,0.24395181,0.21033679,0.18443477,0.17218228,0.17109104,0.17429113,0.17650358,0.17743944,0.18124457,0.19253059,0.21350504,0.24273987,0.27550766,0.3050371,0.32504842,0.333936,0.33715686,0.34468707,0.36453554,0.39625418,0.43030298,0.4527329,0.45379972,0.43369004,0.40216967,0.37158442,0.3505226,0.34162235,0.34382966,0.35263023,0.36107334,0.3621105,0.35467473,0.34480298,0.34114218,0.34761032,0.36133865,0.37619936,0.3865157,0.38802013,0.3771566,0.35257557,0.3170252,0.276744,0.23821943,0.20547366,0.18017839,0.16266869,0.15207493,0.14587693,0.14025475,0.13178812,0.11891764,0.1028294,0.08648053,0.0728947,0.06329686,0.05718143,0.05361038,0.052223396,0.052911136,0.054754198,0.056028742,0.05503394,0.051219877,0.045367476,0.03889272,0.033023436,0.02827835,0.024850488,0.02281867,0.022509346,0.024419362,0.02948294,0.03895996,0.0542382,0.076043785,0.10429285,0.13768183,0.17436965,0.21100031,0.2433778,0.26784763,0.28619137,0.30665144,0.33802664,0.37991336,0.4208554,0.44941533,0.46530032,0.47720173,0.4893056,0.49467564,0.48451412,0.46187806,0.44392553,0.45050824,0.4877566,0.5410797,0.57958895,0.57747394,0.5319533,0.4683791,0.42016795,0.40736473,0.427748,0.4657112,0.50367236,0.5282695,0.53383607,0.5263021,0.5205558,0.53068787,0.5564098,0.5852821,0.6008711,0.5959196,0.5697227,0.5284602,0.47825852,0.4286058,0.3887888,0.37280655,0.3920898,0.44746232,0.5176231,0.5676737,0.5698924,0.5230313,0.4507291,0.38303635,0.33751455,0.31407687,0.30216217,0.2919189,0.27847567,0.2627993,0.24832486,0.2423246,0.25111404,0.2794079,0.32011616,0.36034477,0.38060486,0.3739201,0.34237155,0.30284178,0.26689032,0.24124372,0.22141653,0.20582707,0.1960725,0.19869518,0.21686107,0.24947208,0.29119763,0.3356451,0.37528145,0.40312204,0.41439292,0.41029835,0.39595434,0.37837186,0.36236224,0.35289192,0.35346174,0.36590838,0.3867494,0.41106138,0.43460047,0.45708457,0.47890624,0.5003367,0.5173983,0.5233938,0.5098467,0.47570643,0.4286075,0.38335183,0.35068253,0.33352676,0.3267603,0.3231922,0.3175979,0.30925357,0.30171707,0.2994287,0.30309126,0.3080965,0.30877224,0.30568796,0.30715737,0.3222922,0.35261735,0.38940105,0.4216564,0.44149342,0.44810978,0.4428604,0.42957413,0.4133905,0.40249106,0.403311,0.41593876,0.4319363,0.43997514,0.4329702,0.41278183,0.38706526,0.36426285,0.3473629,0.33507589,0.3248587,0.31958255,0.3256493,0.34801254,0.3813008,0.40982667,0.41594514,0.3925538,0.34884915,0.30223027,0.26604328,0.24262512,0.22793962,0.21897234,0.2161391,0.22110106,0.23451929,0.2567063,0.28898525,0.3308922,0.37687007,0.41478673,0.43343017,0.43033695,0.4142308,0.39719805,0.38848317,0.39358792,0.41821685,0.4634811,0.5207207,0.5694425,0.59108096,0.5795607,0.54568577,0.50491595,0.46720347,0.43226066,0.39645255,0.35985053,0.32737935,0.30403855,0.28980288,0.28022292,0.27082002,0.26120695,0.2548511,0.25411144,0.25543582,0.25099328,0.2358884,0.21549948,0.20263569,0.20829888,0.23242629,0.26373112,0.28839636,0.29920578,0.30040374,0.30157122,0.30898747,0.3205161,0.3302472,0.33770892,0.34912238,0.3717171,0.40485713,0.44121423,0.47435626,0.50531244,0.542401,0.59286743,0.65525675,0.71395606,0.7454986,0.73522353,0.6940141,0.65654826,0.65338534,0.68400025,0.7135441,0.70411915,0.64416534,0.55781585,0.4817289,0.43975678,0.42846417,0.42698285,0.41545048,0.3880686,0.35295895,0.3211149,0.30002666,0.29090595,0.29336298,0.3052982,0.322485,0.3374606,0.34273624,0.33685753,0.3254683,0.31874785,0.32240668,0.3348755,0.34762368,0.35293904,0.34815827,0.337831,0.32951048,0.3297038,0.33889022,0.35182115,0.3600881,0.35972336,0.35357705,0.35025036,0.35431218,0.36375102,0.36938775,0.365613,0.3510598,0.33188614,0.3141807,0.30527163,0.30808476,0.32132232,0.33666262,0.34379444,0.3362169,0.31483564,0.28630555,0.2575507,0.23326196,0.21467759,0.2014385,0.19232301,0.18699344,0.18531018,0.18627508,0.18642342,0.18142806,0.16874807,0.14951856,0.12734386,0.105710745,0.08698344,0.07239364,0.06268429,0.05704427,0.053397585,0.049454466,0.044828933,0.040874958,0.039128993,0.039420903,0.04001725,0.039178256,0.036758006,0.034292314,0.03357013,0.035060417,0.03740306,0.03852436,0.03747842,0.035767645,0.03717464,0.0458778,0.063996196,0.08962688,0.11784428,0.14323556,0.16400795,0.18136238,0.19839847,0.21474747,0.22827761,0.23454495,0.23308283,0.22486794,0.21462412,0.20610988,0.20479389,0.21308768,0.22985804,0.24825685,0.26165953,0.26744583,0.2672274,0.26300922,0.2557777,0.2471574,0.24069576,0.23978667,0.24564578,0.25583473,0.26619485,0.2717609,0.2689558,0.25689903,0.23959605,0.2247079,0.21796227,0.21808149,0.21754827,0.21079431,0.1982124,0.18450768,0.17275733,0.16455072,0.16243668,0.17109211,0.19431555,0.23202603,0.27985287,0.3295261,0.3699229,0.39008904,0.38551557,0.3626003,0.33568966,0.31752688,0.31142128,0.31171715,0.31090486,0.30572352,0.2980479,0.29043055,0.28380957,0.27660942,0.27010605,0.26638126,0.26800892,0.27020693,0.26634696,0.2509723,0.22813849,0.20589139,0.19160362,0.18599534,0.18614483,0.18892549,0.19397193,0.20262055,0.2160374,0.2337914,0.2536613,0.2733347,0.29104614,0.30650067,0.31780544,0.32157505,0.31375086,0.29616383,0.27691254,0.26593414,0.26511732,0.26764742,0.26565704,0.26047352,0.259961,0.26885617,0.28154612,0.2897953,0.29219007,0.2953212,0.30501524,0.31890866,0.33039626,0.3336536,0.32910207,0.31969395,0.3095546,0.30011094,0.29124737,0.28202355,0.27381906,0.26905298,0.26971337,0.27355406,0.27802584,0.28186446,0.28812847,0.29658386,0.3033682,0.30252242,0.29526302,0.28649962,0.27946743,0.27214113,0.26642218,0.27168226,0.2971402,0.3394052,0.38291788,0.41336858,0.42621198,0.42422947,0.4105729,0.3909035,0.37543905,0.37216195,0.37551495,0.36828932,0.33900848,0.2941886,0.25157455,0.22242637,0.20473182,0.19087128,0.1779207,0.16862603,0.16646113,0.1719207,0.18372501,0.20059682,0.22160484,0.24393463,0.26167133,0.26793846,0.26008755,0.24317814,0.2278015,0.22352354,0.23517501,0.26225647,0.3027561,0.35239246,0.40459216,0.44803667,0.47176138,0.471469,0.45499325,0.4366901,0.42651823,0.4227905,0.41684803,0.40236855,0.38065192,0.35723352,0.3367648,0.3205122,0.30814058,0.30031857,0.29898897,0.30480328,0.31389272,0.31833258,0.31177187,0.29507256,0.27625254,0.26348567,0.25862488,0.25888133,0.2621231,0.27063277,0.28535274,0.30228284,0.3132403,0.3140618,0.3085524,0.30463672,0.30760714,0.316118,0.32693255,0.33855864,0.35264263,0.369333,0.3859917,0.3993009,0.40776065,0.41103923,0.40587354,0.38844684,0.35712597,0.31773826,0.27832395,0.24647208,0.22388524,0.20929803,0.19821729,0.18653037,0.17144634,0.15459365,0.14114834,0.13762705,0.14762677,0.16974305,0.19855516,0.22738881,0.25234228,0.2723309,0.29042324,0.30902183,0.32915148,0.34625092,0.35567495,0.354009,0.3418982,0.31977773,0.28820252,0.2495838,0.21083595,0.1810916,0.16593616,0.1643265,0.17081685,0.1820467,0.19790645,0.21769209,0.2349375,0.24124472,0.23396695,0.2203865,0.21190603,0.21476948,0.22630556,0.23763318,0.24136215,0.23550208,0.22667515,0.22513042,0.2387745,0.26400247,0.28791213,0.29782417,0.29295275,0.28436527,0.2837354,0.2926825,0.3007708,0.29436812,0.2663682,0.2210396,0.1705755,0.12705427,0.097059995,0.08140295,0.0785502,0.08550694,0.09669975,0.10434989,0.10235513,0.090329856,0.07311224,0.056716617,0.04449768,0.03667454,0.031888504,0.028897533,0.026945537,0.025762022,0.024928344,0.023965076,0.022221068,0.019751452,0.017491924,0.017472284,0.022116723,0.033522,0.052757885,0.078862526,0.1086331,0.13648663,0.15693502,0.16704975,0.16872208,0.16714017,0.16756266,0.1732332,0.18594794,0.20798989,0.24051853,0.2800922,0.31721416,0.34111962,0.34757304,0.342158,0.33664978,0.34186134,0.36210588,0.3941047,0.42868945,0.4562457,0.471745,0.47559658,0.47081056,0.4581904,0.4402016,0.42275524,0.4187955,0.4375967,0.47801748,0.52075094,0.5397897,0.51727647,0.4589717,0.38877872,0.33177924,0.29716262,0.27901474,0.26719153,0.257251,0.24908984,0.24353921,0.24059848,0.24140453,0.24728793,0.25789204,0.27176094,0.28905818,0.31364444,0.34819973,0.38871574,0.42265594,0.4371189,0.42992225,0.41134438,0.396854,0.39310715,0.3981849,0.40598437,0.41705835,0.4352084,0.46283218,0.49336505,0.51507777,0.51787573,0.501625,0.4757053,0.45192552,0.43551934,0.42207894,0.4038513,0.3768874,0.34566745,0.31826177,0.30116233,0.2947304,0.29420045,0.29432866,0.2924174,0.2922642,0.29819158,0.312426,0.32766274,0.33409074,0.32436186,0.30136406,0.2736742,0.25056288,0.23852499,0.24211796,0.2631788,0.29702535,0.33174685,0.35418764,0.3598369,0.3572894,0.36389434,0.39134207,0.4348774,0.47171855,0.478242,0.44660833,0.39149824,0.3365893,0.29928395,0.2823856,0.2776966,0.27280223,0.25783816,0.23093349,0.19914366,0.17423874,0.16362369,0.16683674,0.17696583,0.188538,0.19905953,0.20988859,0.22167897,0.2355988,0.25086293,0.2659417,0.27769643,0.28488043,0.28849494,0.2903082,0.29016826,0.28667358,0.27967128,0.2710781,0.2627629,0.2549806,0.24589984,0.23421657,0.2196023,0.20463556,0.19289152,0.18847638,0.19227624,0.20081736,0.20757794,0.20788902,0.20303111,0.19716686,0.192122,0.18434256,0.17049515,0.15237151,0.13684143,0.12918656,0.12934873,0.13325812,0.13808419,0.14409454,0.15331222,0.16654429,0.18285923,0.20068459,0.21833642,0.23378056,0.24508516,0.25222722,0.25867382,0.269353,0.28801164,0.31407824,0.34226063,0.3643982,0.37390113,0.3714415,0.3627679,0.35350963,0.34289396,0.32881996,0.31223252,0.2986889,0.29233333,0.2933028,0.29817232,0.3012605,0.2962048,0.27820167,0.24896461,0.21599327,0.18848813,0.17030711,0.15938146,0.15061052,0.14126961,0.13196214,0.12551486,0.12331718,0.12548013,0.13101327,0.1402316,0.15293272,0.16807568,0.18223505,0.1921658,0.19581814,0.19459371,0.19185542,0.19187544,0.19606544,0.20266567,0.20766556,0.20941983,0.21000175,0.21370363,0.2220545,0.23235656,0.23914339,0.23916243,0.2326494,0.2234659,0.21511324,0.20966311,0.2065147,0.2047137,0.20369513,0.20349866,0.20350586,0.20158815,0.1953982,0.18365122,0.16820592,0.15313292,0.14361824,0.14299375,0.1511827,0.16405751,0.17486787,0.17848696,0.17405094,0.16626954,0.16070938,0.16124453,0.16710137,0.17525391,0.1809718,0.18141095,0.17650779,0.17046867,0.16812237,0.17186837,0.17898743,0.1841919,0.18319295,0.17585216,0.1662354,0.15976705,0.16108823,0.17162,0.19087581,0.2152456,0.23892295,0.25340775,0.2525036,0.23691191,0.2167328,0.20600404,0.21419144,0.23981257,0.27187523,0.29617506,0.30307433,0.29103562,0.2659667,0.23644005,0.20922299,0.18730195,0.17055762,0.1571948,0.14447492,0.13081506,0.1178363,0.11125618,0.11685306,0.13521798,0.15894197,0.17719501,0.18351881,0.18071645,0.17697917,0.17844088,0.18459976,0.19119503,0.19447772,0.1939487,0.19167316,0.1915279,0.19672666,0.20740025,0.21863429,0.22412048,0.22052209,0.21134561,0.2024426,0.19727023,0.19300735,0.18552971,0.17394274,0.16289856,0.15823239,0.16284205,0.17446768,0.18703078,0.19415729,0.19342488,0.18815595,0.18388487,0.182298,0.17893988,0.16776548,0.14764914,0.1244112,0.10583272,0.09606382,0.09263935,0.09011104,0.083905004,0.07380279,0.062310386,0.052550096,0.045919884,0.042238098,0.040217888,0.03838694,0.03571239,0.03214789,0.028310053,0.024889939,0.022090727,0.019819178,0.017761916,0.015638048,0.0132332845,0.010640216,0.008190314,0.006240854,0.005035997,0.0045836815,0.004748477,0.0051541966,0.0054737567,0.00554503,0.005535926,0.005630247,0.005913976,0.0063046664,0.006763207,0.0072178855,0.0075770835,0.0077813007,0.008105379,0.009145123,0.011253316,0.013958358,0.015930854,0.016060198,0.01430558,0.011841529,0.010033597,0.009769325,0.011442222,0.015471456,0.022405209,0.03236888,0.04487564,0.05878377,0.07300445,0.08641525,0.098587364,0.10999116,0.12223581,0.13646345,0.15206452,0.16685595,0.17911302,0.18961066,0.20162302,0.2193654,0.24428715,0.27270153,0.29660943,0.30997336,0.3142898,0.31779858,0.32761562,0.3434383,0.35866508,0.36827663,0.3724937,0.37557623,0.3796077,0.3845311,0.3889896,0.39311978,0.39630237,0.3975077,0.39558196,0.3913752,0.38595292,0.3803424,0.37529835,0.3734825,0.37667155,0.38425258,0.39210942,0.3975539,0.39964578,0.3989513,0.39449468,0.38708624,0.37946212,0.3757558,0.3760848,0.37707832,0.37478057,0.36964408,0.36711428,0.3718997,0.3841572,0.3971676,0.40630293,0.41097042,0.41617262,0.4236293,0.4303702,0.42973316,0.4183861,0.40069506,0.38758484,0.38818213,0.4022216,0.41922358,0.43015,0.43625057,0.4467558,0.46646926,0.4855851,0.49062464,0.47394025,0.44411293,0.41110006,0.38109985,0.35077325,0.31921536,0.29032958,0.2720835,0.26748607,0.27267417,0.27992657,0.28431585,0.286149,0.28963128,0.2995958,0.31779623,0.34206855,0.36640862,0.38560903,0.39720535,0.40381658,0.40960327,0.41880393,0.4322815,0.44831792,0.4621835,0.46849218,0.4636371,0.4493873,0.4335333,0.42534438,0.42974398,0.44472602,0.46540892,0.48664322,0.5030509,0.50628823,0.48931623,0.45082924,0.39884877,0.34450212,0.29729426,0.26052704,0.23303206,0.21189563,0.1958222,0.18744601,0.18905829,0.20025577,0.2166182,0.23707123,0.26524493,0.30382743,0.34598663,0.37602496,0.38304555,0.36952975,0.350098,0.33721396,0.3340217,0.33424,0.33140728,0.32386497,0.3163899,0.31368005,0.31658843,0.3201709,0.32010373,0.31698486,0.31782737,0.32937646,0.35010204,0.36839804,0.37119058,0.3561008,0.33271456,0.31228772,0.2979249,0.28604984,0.2747604,0.26534617,0.2596301,0.25556907,0.2532421,0.25482005,0.2656696,0.28376946,0.30313626,0.31522,0.32102478,0.326553,0.33951733,0.36023554,0.38491976,0.40793625,0.42455542,0.42944217,0.42007813,0.40052006,0.38304648,0.37984416,0.39587626,0.42550638,0.4583734,0.48441052,0.4970416,0.49316478,0.4739946,0.44662127,0.42290273,0.41421142,0.42331168,0.44227514,0.4573004,0.45863214,0.44430742,0.41854003,0.38746944,0.35834345,0.34028116,0.34112433,0.36328974,0.40055332,0.4411879,0.47245368,0.48488656,0.47728196,0.4569272,0.43736565,0.42651245,0.42364636,0.41973266,0.4099519,0.39691988,0.39033294,0.3948746,0.40490615,0.40662038,0.3917705,0.36415896,0.33531964,0.31192946,0.29346868,0.27676883,0.26243076,0.25218394,0.24648802,0.24470381,0.248197,0.2598519,0.2797375,0.30290702,0.32067204,0.32637286,0.31825635,0.30008966,0.27741173,0.2545553,0.23241784,0.20928518,0.18361224,0.15637662,0.13154812,0.11316254,0.103987016,0.10413908,0.11247625,0.12578838,0.14141546,0.1589731,0.18299617,0.2181191,0.2632843,0.3075587,0.33719614,0.3437033,0.32924172,0.3013461,0.26966867,0.2436145,0.23415715,0.24918813,0.2880381,0.33793542,0.38062063,0.40370688,0.40900305,0.4081358,0.4108363,0.41498366,0.4099383,0.3878244,0.35343286,0.3228979,0.31158483,0.32274684,0.34488055,0.36233994,0.3676704,0.36574337,0.36569095,0.36916915,0.36880508,0.35611454,0.33269745,0.30791417,0.29108846,0.28183734,0.2744495,0.2633149,0.24846633,0.23177004,0.21444535,0.19575512,0.17559354,0.15503375,0.13606733,0.11973897,0.10634619,0.0953845,0.086421095,0.07875976,0.07194825,0.0661445,0.062126055,0.06030403,0.059406128,0.05720571,0.05224138,0.045640454,0.0400908,0.037626844,0.03780684,0.038319543,0.037169386,0.03429526,0.031792838,0.03305188,0.04139344,0.058647413,0.0827687,0.10940065,0.13469464,0.16094558,0.19376738,0.2380259,0.29123393,0.3460571,0.3938761,0.42870703,0.4478273,0.45022234,0.4385401,0.4171033,0.3942256,0.37570524,0.3656857,0.36208788,0.36319172,0.3663571,0.3706566,0.37352264,0.37341067,0.37036481,0.3656691,0.35898077,0.34829485,0.33128083,0.3077868,0.27908164,0.2486334,0.22122835,0.20287614,0.19741718,0.20387764,0.21532083,0.22386004,0.22582585,0.22508329,0.22730027,0.2363724,0.2524642,0.27652955,0.3075609,0.33951655,0.36053547,0.3634285,0.35422292,0.34861612,0.35773966,0.3779712,0.3972652,0.4076616,0.41173437,0.41556978,0.42072275,0.42350373,0.42210948,0.42116365,0.427726,0.4422228,0.45441982,0.4503759,0.42421877,0.3830295,0.34046698,0.30671299,0.28392103,0.2686845,0.255584,0.24078302,0.22354966,0.20778783,0.19894783,0.19989008,0.20805062,0.21750034,0.22464728,0.23080683,0.24048717,0.25421083,0.26635098,0.26864287,0.25843593,0.24109052,0.2256835,0.21830626,0.21875113,0.22217464,0.22240692,0.21611242,0.20489614,0.1944892,0.19066943,0.19502436,0.20401482,0.21157081,0.21300451,0.20737511,0.19695753,0.18553983,0.17606103,0.17003065,0.16743828,0.16823389,0.17230551,0.17884934,0.18597533,0.19231339,0.1995859,0.21044718,0.22644155,0.24459247,0.2621276,0.2766765,0.2890456,0.29915953,0.30794004,0.31571838,0.32368883,0.33097005,0.33514166,0.3324779,0.3225711,0.30928376,0.3001345,0.3012407,0.31491616,0.33873224,0.36522213,0.38341805,0.38251892,0.3600446,0.32351944,0.28700152,0.26082954,0.24672394,0.23774551,0.22557187,0.20741363,0.18843834,0.17608903,0.17295687,0.1741413,0.17304038,0.16658576,0.15806884,0.15267617,0.15499114,0.16656435,0.18672079,0.21140344,0.23308198,0.24400716,0.24123605,0.22905642,0.21438603,0.20201306,0.19342612,0.18987174,0.19222802,0.19853745,0.20362419,0.20426606,0.2035081,0.20777743,0.21900725,0.23267055,0.24285682,0.24875891,0.25122046,0.24837822,0.23486526,0.20933104,0.17709197,0.1469193,0.12505646,0.113546945,0.11187642,0.11773308,0.12749422,0.13716339,0.14427318,0.14900051,0.1539914,0.16375405,0.18100208,0.20319234,0.22170831,0.22850746,0.22287863,0.21195781,0.20439659,0.2042252,0.21065032,0.22044854,0.22997743,0.23572004,0.23460121,0.22596502,0.21167089,0.19653022,0.1851806,0.18069033,0.18184441,0.1845475,0.18358485,0.17707217,0.16683988,0.15666963,0.14789754,0.13912417,0.12822507,0.115429096,0.103273176,0.095135964,0.09313736,0.09770057,0.107372425,0.120025896,0.13344015,0.14666805,0.1597244,0.17252247,0.18347232,0.19016515,0.19203205,0.19160636,0.19289947,0.19866593,0.20917504,0.22329277,0.23852992,0.25188097,0.2604319,0.26308236,0.25993115,0.25128645,0.23776591,0.2217185,0.20714623,0.19773151,0.19533937,0.20009615,0.21076103,0.2236421,0.23379825,0.23651023,0.2310921,0.21953148,0.20705087,0.19815807,0.19676106,0.20165634,0.20878083,0.21175407,0.20780158,0.19754392,0.1845511,0.17148972,0.15909374,0.14736994,0.13635765,0.12737732,0.12039715,0.11511413,0.1094343,0.10242477,0.09293425,0.08166223,0.069486886,0.05857485,0.050272238,0.04515204,0.042231385,0.040505532,0.03936964,0.038637545,0.03772081,0.035814676,0.032798927,0.029411016,0.026617825,0.024519488,0.022619037,0.020387636,0.017959472,0.015823277,0.014581613,0.014773677,0.017328702,0.023565551,0.03487345,0.051793713,0.07329225,0.09696279,0.11941127,0.13964388,0.15988742,0.18673109,0.22207743,0.26105794,0.2905235,0.3048291,0.3076186,0.3111318,0.31917104,0.32834315,0.3328626,0.33394304,0.33588454,0.33903173,0.34197763,0.34440407,0.35071793,0.35970244,0.36415577,0.35341,0.32580888,0.28899476,0.255668,0.23314446,0.2218496,0.21624398,0.2120278,0.20753878,0.20532365,0.20771675,0.21609944,0.22949058,0.24608605,0.2642964,0.28380728,0.3051051,0.32732305,0.34685552,0.3611866,0.37094238,0.38041043,0.38962254,0.39475545,0.39039612,0.37788725,0.36445132,0.35964704,0.3687644,0.39011744,0.41692808,0.44211957,0.46241197,0.4775938,0.4888058,0.4966072,0.50171584,0.50323194,0.5001145,0.49121764,0.47668946,0.45631775,0.42870286,0.3938092,0.3543181,0.31671187,0.28657535,0.26593974,0.25364405,0.24954623,0.25631812,0.2737479,0.2952408,0.3112234,0.3206117,0.33189955,0.35481778,0.38641465,0.41377512,0.4229801,0.41375947,0.39583144,0.38419864,0.38533917,0.39762154,0.41001844,0.41181746,0.39773402,0.3745465,0.35816374,0.3643123,0.39566016,0.43673515,0.46171084,0.45164934,0.40652886,0.3447756,0.29023376,0.25764954,0.24646644,0.24496585,0.24234812,0.23526418,0.2263698,0.21711959,0.20626073,0.19487281,0.18865949,0.19378959,0.21038957,0.23300195,0.25629643,0.2776408,0.29620215,0.3102158,0.31990612,0.3280325,0.33945227,0.35470304,0.36949992,0.37580645,0.36925972,0.3507266,0.32688284,0.30430555,0.28751048,0.27709052,0.2741718,0.28101727,0.30126822,0.33447313,0.37561548,0.4156947,0.44535458,0.45652726,0.44526812,0.4165024,0.38286912,0.35910335,0.3502709,0.3514651,0.35246158,0.34838247,0.34049726,0.33229044,0.32443956,0.31579778,0.3082777,0.3074342,0.31737038,0.33607695,0.3555095,0.36930814,0.3748897,0.3751934,0.37173256,0.3658918,0.35704517,0.34738004,0.33841178,0.33099842,0.32448062,0.32065564,0.32365987,0.3348631,0.3494021,0.35868594,0.35896334,0.35417357,0.35277715,0.36100265,0.37974766,0.40463534,0.4277642,0.44087592,0.4391693,0.42454144,0.4039018,0.38386607,0.36581185,0.34717953,0.32748833,0.31000212,0.29803595,0.28852674,0.2757576,0.25675246,0.23578359,0.21822317,0.20672333,0.19919206,0.19319732,0.1867171,0.17963462,0.17179704,0.16442262,0.15875387,0.15781528,0.1637832,0.17796819,0.19675906,0.21512328,0.22754866,0.234726,0.24000633,0.24945939,0.26408443,0.28145018,0.29357398,0.29483932,0.2841952,0.26783076,0.25221193,0.23892124,0.22445513,0.20468135,0.1803214,0.15571435,0.13755053,0.13044345,0.13536058,0.14784585,0.16123979,0.17129868,0.17986836,0.1921527,0.2119646,0.2375267,0.26502988,0.29183745,0.31999287,0.3504162,0.38063118,0.40379766,0.4171741,0.42512062,0.43567058,0.4510621,0.46436474,0.4671028,0.4564056,0.43736222,0.41589847,0.39744464,0.38577652,0.38521686,0.39707366,0.41783237,0.43987432,0.45480826,0.4606539,0.45963064,0.45661235,0.44978034,0.43670592,0.4156272,0.3900067,0.36200085,0.33254835,0.30322278,0.27618828,0.25269586,0.2300616,0.20782632,0.18725677,0.17149375,0.15906875,0.14700647,0.13230552,0.11588692,0.10019422,0.08795955,0.0797208,0.07403079,0.068693615,0.06295192,0.057778966,0.05406317,0.051108047,0.04719269,0.041736867,0.035826195,0.031262692,0.028833484,0.028093716,0.028072273,0.02817955,0.028598988,0.029766232,0.032114506,0.03607558,0.04274985,0.053979333,0.07118163,0.09392193,0.1185652,0.14064895,0.15819411,0.17609648,0.20322484,0.24698603,0.30485126,0.36462724,0.4088055,0.42709318,0.42229545,0.4098177,0.403388,0.4057125,0.40806654,0.40345445,0.39395452,0.39028654,0.39902437,0.4174968,0.43022668,0.4240267,0.3938254,0.35387886,0.32287014,0.31805396,0.34185836,0.3900152,0.4515572,0.5106146,0.54525703,0.536439,0.48622906,0.41800871,0.3646324,0.3400081,0.33789086,0.33945486,0.33557713,0.32778266,0.32508507,0.332719,0.3490684,0.3659202,0.37248483,0.36320648,0.3411536,0.3181105,0.3049263,0.30637237,0.31819275,0.33321545,0.3449906,0.35252902,0.35935,0.37072584,0.3883462,0.40812537,0.42223513,0.42414412,0.41297796,0.39575687,0.3836595,0.38559344,0.4001495,0.41620088,0.4190419,0.40072742,0.36464974,0.32273158,0.2888528,0.27069673,0.27001032,0.2825296,0.30330434,0.32540742,0.34315595,0.3539051,0.36092117,0.37118542,0.38817134,0.4085616,0.42212722,0.42076075,0.40401217,0.38148344,0.36486253,0.3600783,0.36514506,0.37430048,0.38227463,0.38417935,0.37651002,0.3595594,0.33711648,0.31334996,0.28951442,0.26790848,0.25292617,0.24963792,0.25682345,0.26741394,0.27270782,0.26905784,0.25875488,0.24668692,0.23652463,0.22878247,0.22329028,0.22078604,0.22473419,0.23887281,0.26526168,0.30076447,0.33712795,0.36282548,0.36936083,0.355696,0.3294808,0.30112007,0.27853617,0.2643362,0.2596284,0.26477697,0.27894545,0.2962464,0.30934212,0.3139837,0.3128904,0.31181994,0.31478742,0.3228548,0.33573568,0.35278055,0.37077436,0.38283136,0.3809867,0.35971043,0.32029703,0.26987448,0.22017439,0.1808898,0.15648055,0.14404838,0.1380172,0.13442238,0.13347907,0.13772403,0.14889468,0.16614293,0.18621798,0.20535739,0.22187285,0.23566853,0.24747567,0.2552333,0.25752613,0.25397792,0.24833602,0.2433006,0.24029686,0.23834656,0.23726626,0.23742212,0.23889077,0.2408276,0.24156845,0.24018753,0.23588586,0.22889304,0.22013338,0.2129731,0.21154736,0.21875872,0.23313443,0.24883354,0.25801742,0.25430956,0.23658848,0.2091483,0.179865,0.15550669,0.14025022,0.13560838,0.14168046,0.1556685,0.17213456,0.18432535,0.18969978,0.1905428,0.19319646,0.20129317,0.21419422,0.22665834,0.23483078,0.23902072,0.24442656,0.25626218,0.27568793,0.29794022,0.3150566,0.32092893,0.31631246,0.30969423,0.31089577,0.3216925,0.33216962,0.3291345,0.30862173,0.27897477,0.25195915,0.2311912,0.21235614,0.18982403,0.16442831,0.14104758,0.12519445,0.11800962,0.1176283,0.12019718,0.12341532,0.1267943,0.13136084,0.13744783,0.14438854,0.15153612,0.15964033,0.17088588,0.18626273,0.20444618,0.22101866,0.2328574,0.23895675,0.24225785,0.2455049,0.2513481,0.26031393,0.27179703,0.2817756,0.28465804,0.27516285,0.25360915,0.22460444,0.19683473,0.1767941,0.16867559,0.1704471,0.17839307,0.18838863,0.19972849,0.21142976,0.22050716,0.22224672,0.21425436,0.19845752,0.17924334,0.16134985,0.14839709,0.14260267,0.1434914,0.14808376,0.15253037,0.15443741,0.15290928,0.14789307,0.13930686,0.12841819,0.11739845,0.108551174,0.10167266,0.09494256,0.08643115,0.07666454,0.06733358,0.06013188,0.054824024,0.0506762,0.046656746,0.042682778,0.038538337,0.03432698,0.03001196,0.026066668,0.02288177,0.020689322,0.019178843,0.018005425,0.016870728,0.01575624,0.014651813,0.013721515,0.013076226,0.012717002,0.01231727,0.011617519,0.010852189,0.010909726,0.012907236,0.017495006,0.02463413,0.033711728,0.04452263,0.05749308,0.074045874,0.0947617,0.11881808,0.14273882,0.1624644,0.17489117,0.17978008,0.17957222,0.17748511,0.17691277,0.17980646,0.18744795,0.19823551,0.2087719,0.21549201,0.21922739,0.22567345,0.23964448,0.2592064,0.27450767,0.27835083,0.27262127,0.26861903,0.2741799,0.2865061,0.29285356,0.28240076,0.25429744,0.21812122,0.18527965,0.1627102,0.15077834,0.1467866,0.14626335,0.144235,0.13688795,0.12503931,0.11504242,0.11427411,0.12573226,0.14508691,0.16458803,0.17741586,0.18143068,0.17798282,0.169879,0.16014956,0.15164293,0.14783819,0.14998513,0.1566761,0.16323161,0.16623968,0.1656505,0.16476572,0.16669714,0.17174615,0.17808886,0.1831661,0.18520916,0.18279935,0.17594898,0.16614018,0.1568376,0.15100558,0.15008877,0.15246809,0.15567149,0.15755029,0.15738547,0.15445253,0.1475755,0.13628587,0.122591905,0.11113369,0.107304655,0.113908075,0.12994334,0.15137564,0.1748125,0.19863099,0.22180057,0.2419525,0.25632608,0.26434013,0.26879185,0.27371386,0.28269455,0.29574886,0.31088838,0.32330915,0.33039132,0.33067945,0.3257204,0.3158339,0.30168036,0.2836736,0.26464397,0.248565,0.24009681,0.24222577,0.2540438,0.26935038,0.27901712,0.2779878,0.26999947,0.26441482,0.26614794,0.26929513,0.26270598,0.24105714,0.21116607,0.18539493,0.17228787,0.17147796,0.17896461,0.19255018,0.21333933,0.24101031,0.27128956,0.2994851,0.32337582,0.3428932,0.35339594,0.34937796,0.33016822,0.30622387,0.29046476,0.2891982,0.29826677,0.30853865,0.31234327,0.30651182,0.29378822,0.28125215,0.2762748,0.281757,0.29584852,0.31654125,0.34397224,0.37685642,0.40560022,0.41453576,0.3930386,0.3477031,0.30024347,0.27220666,0.27082723,0.2854036,0.30014503,0.30288407,0.29339176,0.27594134,0.25910744,0.24865665,0.24998598,0.26217172,0.2801342,0.29539287,0.30312166,0.30334258,0.30041686,0.30032858,0.30910078,0.32956672,0.35766676,0.38390648,0.39873624,0.3984294,0.3837647,0.3581674,0.3262773,0.294974,0.27204522,0.26317754,0.270677,0.2924156,0.32291064,0.35377398,0.3767546,0.38755068,0.3880042,0.38475356,0.3822588,0.37868342,0.3672906,0.3449904,0.31630483,0.29002315,0.27287292,0.2678599,0.27611724,0.2956343,0.31846073,0.33292207,0.33151233,0.31797692,0.30376494,0.2998133,0.30817708,0.322561,0.33350527,0.33514908,0.32840875,0.3184948,0.31106368,0.3088123,0.31213948,0.3201882,0.33168733,0.34471378,0.35664594,0.36470422,0.36633787,0.35955957,0.34350398,0.31922248,0.2904477,0.262018,0.23738645,0.21656947,0.19750245,0.179329,0.16313909,0.15117578,0.14392607,0.14172496,0.14410211,0.1508996,0.15926766,0.16633111,0.17012505,0.17311932,0.17860562,0.18899919,0.20307027,0.21908666,0.23532772,0.25085953,0.26390556,0.27398363,0.28276172,0.29381087,0.30852893,0.32483977,0.33842024,0.34637043,0.34864345,0.3473705,0.34482297,0.3422558,0.340179,0.33974358,0.34331545,0.35318935,0.36993754,0.39010835,0.4066421,0.40981948,0.3937076,0.3608009,0.3232565,0.2949961,0.28335616,0.28589526,0.29439902,0.30040166,0.29861665,0.28841734,0.27388874,0.2606529,0.25122824,0.24247123,0.22997175,0.21330567,0.19785571,0.18834461,0.18443494,0.17970441,0.16856892,0.14929055,0.12603112,0.1040622,0.08789545,0.07772538,0.07136948,0.06542782,0.058913995,0.05358581,0.053904194,0.06420995,0.08550494,0.11278621,0.13698137,0.15060951,0.1527059,0.14743266,0.13910252,0.12867208,0.11557054,0.10043671,0.08587408,0.07441209,0.06687194,0.062539496,0.06046349,0.06136323,0.06732274,0.08125765,0.10410601,0.13550712,0.17312877,0.21519917,0.2585522,0.30075946,0.33857903,0.3714771,0.39916706,0.4242969,0.44805494,0.47095862,0.48743355,0.49257088,0.48476645,0.47328874,0.46988654,0.4839895,0.5136923,0.54892546,0.5754697,0.58558154,0.5824765,0.5777493,0.57923514,0.58601207,0.58985996,0.58699703,0.57903177,0.573216,0.57420856,0.583972,0.600692,0.62108094,0.64058846,0.65154856,0.6461003,0.6183751,0.5716706,0.51543623,0.46482205,0.4315913,0.42214617,0.429764,0.44250718,0.450485,0.45647296,0.46348652,0.4658897,0.4470608,0.4006593,0.33702788,0.2775003,0.23434138,0.20870991,0.1962483,0.19554882,0.20674904,0.22795375,0.25398335,0.27868977,0.2997482,0.31994584,0.34584883,0.38032177,0.42047384,0.4562501,0.47845182,0.48077306,0.46542427,0.4395127,0.4138061,0.3950328,0.38309562,0.3721085,0.35656896,0.33750424,0.3197832,0.30965623,0.30863515,0.31770697,0.3348955,0.35971388,0.38818717,0.41947174,0.45222732,0.48727313,0.5173997,0.5318299,0.5202347,0.4865458,0.44746363,0.42574286,0.43396416,0.4662124,0.49880934,0.5083268,0.48773053,0.4524816,0.42291737,0.41034678,0.40891767,0.40766868,0.3973563,0.37665537,0.34749898,0.31314838,0.27783582,0.24634151,0.22294122,0.2054434,0.18952537,0.17203854,0.1584251,0.15594421,0.17016655,0.19943257,0.23912545,0.28217265,0.32142922,0.35018775,0.36479783,0.36689618,0.36182454,0.35679337,0.35685277,0.36504903,0.38083532,0.40007088,0.41597047,0.4230785,0.42197058,0.41680476,0.41235173,0.41030023,0.411177,0.41276193,0.40852392,0.39051044,0.35684142,0.3176025,0.28788698,0.27641913,0.27764854,0.27804208,0.26717803,0.24561514,0.22160578,0.2041714,0.19780217,0.20345294,0.22002108,0.24537599,0.2760841,0.3083907,0.34028968,0.37034604,0.39658356,0.41412202,0.41924477,0.41248587,0.40009642,0.389613,0.3848356,0.38445035,0.38380858,0.38027704,0.37490258,0.37293068,0.37652862,0.38495126,0.3933232,0.40149269,0.40996316,0.420076,0.42748532,0.42821482,0.419816,0.4042691,0.383109,0.35771146,0.32910815,0.30134004,0.27773952,0.2594342,0.2430049,0.22573566,0.20838307,0.19647557,0.1964222,0.20964849,0.23210907,0.25734162,0.2842506,0.31597397,0.35326186,0.38990617,0.41575336,0.42744386,0.42862943,0.4266062,0.423937,0.42013147,0.41474596,0.40935245,0.4062822,0.4069986,0.41432992,0.43030688,0.45300415,0.47538674,0.49194327,0.50726676,0.52924997,0.5615487,0.5953714,0.6236928,0.6417706,0.6457181,0.6229066,0.56563616,0.48566976,0.4128448,0.37213328,0.3642267,0.37001264,0.36896503,0.35288393,0.32593933,0.2982539,0.28002238,0.27835426,0.29265115,0.3154538,0.3340477,0.34064242,0.3338592,0.3208988,0.30944523,0.30681375,0.31519642,0.3340646,0.35771385,0.3794955,0.39393103,0.40255406,0.41190073,0.4274532,0.44598714,0.4563706,0.44980142,0.42903543,0.40762195,0.39811635,0.40166524,0.41019222,0.41609237,0.4217583,0.43392578,0.45536432,0.47627315,0.4821993,0.4634714,0.4245888,0.3782778,0.3378956,0.30958873,0.29426515,0.28922138,0.29054913,0.29353085,0.29420426,0.29079852,0.2829542,0.2716728,0.25784314,0.24281442,0.22643773,0.20819284,0.18669276,0.16280217,0.13878377,0.11926422,0.10702693,0.10191674,0.099132,0.09370557,0.083506815,0.07093623,0.05972064,0.052181542,0.048136845,0.046227332,0.04524255,0.044737402,0.044577733,0.044554304,0.044125453,0.043170113,0.041917056,0.040870424,0.03965874,0.037544455,0.0341495,0.031032927,0.031127334,0.03717214,0.0494495,0.06566461,0.08266377,0.098682255,0.11441644,0.13216184,0.15404184,0.17934768,0.20352645,0.22060873,0.22791381,0.22830606,0.22668464,0.2254231,0.2244813,0.22572327,0.23604321,0.26311564,0.307709,0.3573325,0.39095226,0.39138123,0.35875556,0.30977148,0.26754996,0.24683486,0.25053653,0.27063343,0.29620668,0.31777337,0.33118924,0.33537516,0.32992208,0.3136823,0.286743,0.25171044,0.21394622,0.17928179,0.15267406,0.13617799,0.12926652,0.12890142,0.13109791,0.13262235,0.13274884,0.13352601,0.13741761,0.14448236,0.15254082,0.15973319,0.16816415,0.18140896,0.20146619,0.22543733,0.24930923,0.27046862,0.28823683,0.30137482,0.30735084,0.3048149,0.29512945,0.2831684,0.27508476,0.27461007,0.2804158,0.28640088,0.28783116,0.28381434,0.2763891,0.26510683,0.24705212,0.22115378,0.1923102,0.16950254,0.15921664,0.1606763,0.16815281,0.17668934,0.18653192,0.20040447,0.21889348,0.2384727,0.25399363,0.2638493,0.26970124,0.27513012,0.28038096,0.28503907,0.29042494,0.30251965,0.3256011,0.3570436,0.38829267,0.41279253,0.42961314,0.43899795,0.43762103,0.42205623,0.3956151,0.36970267,0.3560437,0.35957202,0.37721708,0.4030867,0.4321693,0.46196374,0.49047813,0.5170152,0.53965837,0.5559583,0.5605245,0.5498223,0.5246348,0.49198472,0.46056935,0.43494192,0.41421354,0.39397314,0.3725917,0.35273615,0.33911574,0.33308002,0.32989267,0.32383725,0.31179056,0.2961509,0.2798159,0.2664099,0.25876668,0.25975695,0.26744792,0.27510592,0.27495372,0.26578674,0.2536491,0.24623597,0.24628048,0.25130418,0.25740805,0.26177323,0.2618582,0.25588572,0.24457286,0.23314434,0.22686952,0.22717993,0.22894515,0.22676724,0.21910252,0.21059291,0.20711356,0.2125498,0.22632037,0.24401188,0.25961423,0.26965928,0.27680254,0.28708327,0.305617,0.33019757,0.35435823,0.3694758,0.3741889,0.37421826,0.38066062,0.39846385,0.42277274,0.44223318,0.44923446,0.44454977,0.43483853,0.42664716,0.42295125,0.42237675,0.42083904,0.414709,0.40457022,0.3957515,0.3936863,0.39791372,0.40056717,0.39224777,0.37032923,0.34279513,0.32268906,0.31785974,0.3243169,0.3303205,0.32632878,0.31162694,0.29360434,0.28148946,0.28260073,0.29787064,0.3231678,0.3502541,0.37395132,0.39240825,0.40665516,0.4152545,0.4164234,0.40886018,0.3943852,0.3747659,0.35294917,0.33180153,0.31477824,0.302446,0.29372966,0.28790072,0.28674415,0.2918827,0.3019359,0.31182516,0.3172431,0.3171462,0.31520674,0.3139291,0.31314513,0.3091294,0.30092546,0.29045555,0.28081396,0.27232823,0.26454353,0.2585813,0.25634122,0.25653192,0.2548429,0.24803591,0.23797089,0.22976668,0.22827847,0.23609002,0.2536382,0.27989578,0.31190372,0.34651414,0.37978974,0.40672246,0.41922483,0.41140726,0.38583878,0.35681677,0.34107694,0.34578073,0.36328685,0.38011193,0.3881776,0.39016023,0.3936526,0.4057028,0.42795572,0.45654416,0.48144808,0.49116364,0.47954997,0.45059562,0.415754,0.3851377,0.3620704,0.34354916,0.32765365,0.31677493,0.31669077,0.3286183,0.3473983,0.36256263,0.36606833,0.35431847,0.32936177,0.2960955,0.26107556,0.23052621,0.20777757,0.19295503,0.1821806,0.17134546,0.15684432,0.13965583,0.1228515,0.11063775,0.103288,0.098425984,0.09262804,0.085261725,0.07785478,0.07237825,0.06955153,0.06887015,0.06941081,0.06956506,0.06782036,0.06307743,0.05620501,0.048965212,0.043457385,0.04013567,0.03849755,0.03720284,0.03560056,0.033369545,0.030669378,0.027571319,0.024477223,0.022177769,0.022040581,0.025570162,0.03431002,0.049081832,0.070225336,0.09659883,0.12739281,0.16216438,0.20324238,0.25041223,0.2982508,0.33310032,0.34488595,0.33497527,0.31827796,0.3069879,0.30161956,0.29292905,0.27749112,0.2622042,0.25861776,0.2716861,0.29885384,0.33492497,0.37763247,0.42454085,0.46707702,0.4878764,0.47155097,0.41793546,0.34712985,0.28693447,0.256963,0.2596135,0.28259888,0.30718374,0.31770763,0.30980352,0.28980258,0.2677448,0.24798732,0.22969091,0.21207766,0.19882105,0.19413985,0.19841178,0.20778543,0.21959351,0.23511267,0.25901705,0.29547647,0.34535578,0.40254426,0.4531528,0.4798969,0.47458255,0.44424173,0.4073546,0.37752727,0.35747692,0.3422021,0.3300773,0.32278445,0.3201225,0.31544295,0.30171052,0.2778366,0.2507824,0.22950602,0.2205771,0.22557753,0.24066241,0.25778314,0.2689357,0.27296606,0.27709892,0.29070082,0.31687346,0.34817338,0.37231517,0.37827095,0.3624811,0.32865682,0.28739062,0.25163507,0.23157752,0.22935413,0.2397375,0.25531176,0.27210322,0.29034612,0.3104752,0.33054218,0.34528258,0.35137507,0.34813914,0.3414075,0.33764824,0.34386787,0.3586427,0.37521127,0.38201427,0.37535754,0.3606963,0.35055804,0.35144362,0.3602997,0.36717853,0.36690012,0.36161873,0.35946286,0.3644866,0.37606677,0.38794598,0.39527714,0.39435205,0.38606778,0.37297067,0.35926864,0.34690687,0.33632568,0.32657,0.3168112,0.30643228,0.29512975,0.28385738,0.27401266,0.26874474,0.2706162,0.28175843,0.29957235,0.32007834,0.33769104,0.34997734,0.3542926,0.35108927,0.34245726,0.33389974,0.32925615,0.32942763,0.33281362,0.33709645,0.34026924,0.33972442,0.33490142,0.32736382,0.32014742,0.3147457,0.31083182,0.30725458,0.30171344,0.29073045,0.270842,0.24225064,0.20946555,0.17865627,0.1540457,0.1366685,0.12600806,0.120407194,0.11816627,0.117271416,0.117562495,0.12012056,0.1269014,0.13825889,0.15262066,0.1666584,0.17682211,0.18124028,0.18083872,0.17946179,0.18206722,0.19231047,0.21068932,0.23285942,0.25277227,0.26528236,0.27152988,0.27505568,0.27961066,0.2847539,0.29064623,0.29964283,0.31557837,0.3380473,0.36046255,0.37479794,0.37784567,0.3738632,0.36852023,0.363,0.35226867,0.3325422,0.30669513,0.28365752,0.26979387,0.26341328,0.25723067,0.24584375,0.23095335,0.21835357,0.21232466,0.21177258,0.21243097,0.21074687,0.20590413,0.19911253,0.19254698,0.18888056,0.19068915,0.1987334,0.2110169,0.22365375,0.23322262,0.2384197,0.2401639,0.2392081,0.23589082,0.22978957,0.22369789,0.22148211,0.22695112,0.2386175,0.25222233,0.26360416,0.272952,0.2833861,0.29544458,0.304085,0.30120376,0.2852501,0.2650888,0.2541153,0.25936213,0.27571785,0.29299852,0.30268714,0.30375597,0.2982649,0.2894733,0.27899364,0.26815113,0.2590629,0.25331542,0.25171363,0.25260827,0.2553283,0.25995243,0.26627246,0.2705734,0.26618925,0.24879025,0.22006007,0.18774162,0.15973909,0.13977283,0.1267735,0.11810919,0.112594426,0.11105802,0.11534262,0.12688684,0.14499247,0.16628563,0.18524267,0.1978517,0.20306952,0.20354444,0.20225395,0.20166385,0.20248336,0.20449553,0.20692152,0.20864248,0.20927615,0.20832936,0.20666295,0.20542504,0.20673662,0.21105033,0.21786465,0.22578345,0.23447011,0.24307667,0.24953525,0.2504517,0.24420577,0.23289342,0.22201645,0.21637915,0.21662752,0.21842861,0.2168482,0.21088403,0.20525777,0.2058843,0.21444213,0.22588156,0.23268187,0.23066722,0.22200209,0.2126119,0.20730145,0.20752771,0.21181571,0.21804821,0.22383499,0.22718479,0.22763328,0.22684437,0.22743647,0.22985797,0.23268189,0.23445648,0.23659645,0.24123518,0.24891658,0.2563967,0.25976804,0.25630152,0.24653818,0.23257647,0.21796602,0.20579235,0.197706,0.19250613,0.18800068,0.1836105,0.18143697,0.18380934,0.19051294,0.19881152,0.20613591,0.2122073,0.21891911,0.2281646,0.23973171,0.25010505,0.25413212,0.24844427,0.23442353,0.21736373,0.20253456,0.19191861,0.1837663,0.17555307,0.16632855,0.15780868,0.15212895,0.1497726,0.14888118,0.14709014,0.14377292,0.14000417,0.13747795,0.13681263,0.13791771,0.14046168,0.14417958,0.14830911,0.15086515,0.14942075,0.14212947,0.12978151,0.11546681,0.10357053,0.09650614,0.09398374,0.09307822,0.09108839,0.086180024,0.07836125,0.068625815,0.059365723,0.05300228,0.050865944,0.052107494,0.054670233,0.056623414,0.056801867,0.05466461,0.050152928,0.044131722,0.038026597,0.03316028,0.02988744,0.027802369,0.026308173,0.025001785,0.023797957,0.022726191,0.022004763,0.022076825,0.024046319,0.03027384,0.043643832,0.06534646,0.091388755,0.11331161,0.12224298,0.11567368,0.09808105,0.07789036,0.06120589,0.05037923,0.04438274,0.04144987,0.039841354,0.03866369,0.037672687,0.0371845]