[0.036562324,0.03590836,0.03433858,0.031919036,0.02867421,0.024558773,0.019846296,0.015585077,0.013833199,0.017022697,0.02670162,0.04266587,0.062887736,0.084564514,0.10469135,0.120911516,0.13159496,0.13671666,0.13753185,0.13627852,0.13473456,0.13383512,0.1334408,0.13311084,0.13239914,0.13133878,0.13044518,0.13062306,0.13248189,0.13576303,0.13936104,0.14219368,0.14389826,0.14509317,0.14664365,0.14926307,0.15273355,0.15623079,0.1584497,0.15860485,0.15671311,0.15370421,0.15082848,0.14883699,0.1477663,0.14717466,0.14712723,0.14823495,0.15118758,0.15574212,0.16077489,0.16488837,0.16736515,0.16812736,0.16750133,0.1656349,0.16274066,0.15913056,0.15540963,0.15212965,0.14969754,0.1484533,0.14872986,0.1506864,0.15395617,0.15793692,0.16211669,0.16617328,0.16957723,0.17174919,0.17278464,0.1734821,0.17453165,0.17546831,0.1756563,0.1755184,0.176969,0.1808678,0.18488984,0.18331838,0.17084974,0.14644368,0.11492374,0.08395047,0.0597398,0.044276405,0.035970513,0.031965554,0.029803962,0.02806771,0.026047641,0.023813179,0.021668911,0.019928424,0.01843293,0.01692868,0.015297248,0.013759549,0.012573735,0.011869491,0.011568396,0.011564106,0.011827998,0.012547388,0.014010961,0.01645404,0.019816732,0.023709416,0.02745281,0.030168347,0.030997531,0.029691316,0.02748063,0.027347997,0.03269672,0.045371458,0.06430131,0.086936325,0.11012069,0.13129753,0.14725381,0.15619476,0.15808262,0.1559252,0.15279186,0.1510673,0.15158229,0.15476644,0.16042125,0.16782995,0.17635483,0.18587857,0.1964128,0.2066257,0.213789,0.21543467,0.21150553,0.2046393,0.19766855,0.19152047,0.18504018,0.17780586,0.17150874,0.1691354,0.17168862,0.17677943,0.17979155,0.1774466,0.1701874,0.16197622,0.15742187,0.1590364,0.16632468,0.17696631,0.18824935,0.19774674,0.203317,0.20353715,0.19887334,0.19218963,0.1874048,0.18653774,0.18865609,0.19155402,0.19475214,0.1990952,0.20435087,0.20724122,0.20416582,0.19469011,0.18310444,0.1748904,0.1726724,0.17470123,0.17749053,0.17901336,0.17935236,0.17874098,0.17540027,0.16547759,0.14577897,0.116794944,0.08411995,0.055294316,0.035678245,0.025531637,0.021668011,0.02034566,0.01948381,0.018536853,0.017584467,0.016604273,0.015473984,0.0140933255,0.012620718,0.011239796,0.010186677,0.009486704,0.009069477,0.008683038,0.0081457,0.007445311,0.0068112873,0.006565427,0.007167431,0.009342384,0.014087292,0.022072518,0.032903437,0.044777542,0.055004,0.060914416,0.06107829,0.05664119,0.052386343,0.055579264,0.072046824,0.10168596,0.13752736,0.16968895,0.19085592,0.1993288,0.19814831,0.19215626,0.18513525,0.17832428,0.1714107,0.16450083,0.15963633,0.15917252,0.16336791,0.1689794,0.17137659,0.16760743,0.15855299,0.14836238,0.14194946,0.14188945,0.14672405,0.15233894,0.15581101,0.15762645,0.16026607,0.16417362,0.16786946,0.17095669,0.17715901,0.19038074,0.20988806,0.22880016,0.23971808,0.23997705,0.23239642,0.22126491,0.20814943,0.19136584,0.16864376,0.14068322,0.111880414,0.08791202,0.07262766,0.067500375,0.07297947,0.08930609,0.11452126,0.14341514,0.168595,0.18460017,0.1894928,0.18453546,0.17259918,0.15773815,0.14500529,0.13842732,0.1402921,0.14997117,0.16541879,0.18238924,0.19613035,0.20198774,0.19766165,0.18298978,0.15981768,0.13157456,0.10388518,0.08432376,0.08060676,0.09515413,0.121981,0.14609958,0.15343617,0.13828321,0.10951271,0.08248172,0.07059216,0.075386435,0.0879178,0.09483863,0.08828429,0.06987079,0.04782888,0.030107608,0.019737737,0.015366367,0.014157145,0.014544035,0.01692755,0.023463845,0.036073368,0.05477185,0.07649488,0.097346775,0.114694774,0.12859638,0.13988222,0.14875834,0.15456927,0.15721124,0.15771927,0.15770185,0.15850188,0.16095829,0.16525601,0.17079891,0.17633283,0.1807781,0.1835183,0.18404847,0.18181683,0.17742951,0.17341967,0.17312352,0.17770533,0.1851903,0.19199406,0.19605939,0.19748122,0.19702822,0.1940363,0.18679644,0.17520677,0.16258965,0.15439828,0.15398082,0.16041137,0.16993232,0.17972167,0.1894021,0.19922258,0.2082278,0.21396093,0.21521418,0.21258928,0.2085163,0.20436956,0.20056057,0.19633369,0.19176066,0.18728346,0.18356687,0.18035316,0.17710735,0.17435777,0.17495157,0.18234402,0.19692163,0.21361607,0.22508216,0.22792526,0.22539245,0.22370557,0.22519948,0.22720902,0.2255867,0.21972506,0.212164,0.20555823,0.20055103,0.19653548,0.19384073,0.19344272,0.19606121,0.20042439,0.20503242,0.20900935,0.21374637,0.22022356,0.22853875,0.23650722,0.24243331,0.24505305,0.24444385,0.24020715,0.23240404,0.22137915,0.20857124,0.19504644,0.18158431,0.16838335,0.15580207,0.1438238,0.13296928,0.12583001,0.12653452,0.13691072,0.15147053,0.16094065,0.1598578,0.1541378,0.15472086,0.1685434,0.19094984,0.21201672,0.22315085,0.22205758,0.20910119,0.18554078,0.15343662,0.118166685,0.08738526,0.067770116,0.06194752,0.069194585,0.087569304,0.11401013,0.14239757,0.16243123,0.16475356,0.14658327,0.11558944,0.084620155,0.065397374,0.06262943,0.073597275,0.089935295,0.10110491,0.09982467,0.08548877,0.06450575,0.044853855,0.03142266,0.024197375,0.020657346,0.018350163,0.016033953,0.0135036195,0.011029168,0.009054947,0.007864462,0.0074408124,0.0075019076,0.0077002994,0.007812546,0.0077410745,0.0075131305,0.007265741,0.0072750733,0.007929275,0.009570683,0.012350191,0.016010946,0.019915504,0.023128271,0.024768524,0.02435606,0.022924324,0.02399212,0.034041505,0.05897964,0.09988475,0.14935364,0.19571345,0.22887139,0.2455871,0.24765939,0.23881938,0.22381623,0.20828287,0.19841826,0.19587415,0.19779748,0.19832043,0.19477837,0.18814377,0.18146169,0.17646821,0.17281272,0.16926982,0.1646273,0.15974739,0.16070624,0.18237506,0.24487658,0.35695276,0.49873677,0.62044764,0.6720822,0.63615805,0.5404818,0.43350497,0.35302082,0.30879912,0.29049173,0.28287613,0.2764612,0.2686012,0.26014397,0.25236228,0.24577315,0.24049567,0.23613964,0.231992,0.22683765,0.2200892,0.21199387,0.20399113,0.19847058,0.1986158,0.20789395,0.22696786,0.25202596,0.27404413,0.2846656,0.28020218,0.26503852,0.24694128,0.23359881,0.22758527,0.22806959,0.2314465,0.23531471,0.23765707,0.23771118,0.23429227,0.22725576,0.21764803,0.20819046,0.20171697,0.19931538,0.19971664,0.20023377,0.19903262,0.1958471,0.19158651,0.18688737,0.181926,0.17711264,0.17391662,0.1743397,0.1791277,0.18664472,0.19366832,0.19778275,0.19865422,0.19728293,0.19427522,0.18972279,0.18390395,0.17765854,0.17110015,0.1635592,0.154688,0.1459716,0.13974278,0.1372302,0.13763334,0.13891506,0.13928169,0.13772209,0.13491553,0.13269089,0.13470894,0.14465062,0.16631944,0.19832796,0.23382016,0.26016453,0.2694017,0.26189756,0.24656087,0.23119597,0.21774523,0.20423137,0.18984945,0.17843,0.17387448,0.1772661,0.18505888,0.19289641,0.19785489,0.19919854,0.19782023,0.19528861,0.19317697,0.1913055,0.18778946,0.18087201,0.17192887,0.16787092,0.1811722,0.22864778,0.3218172,0.4542086,0.5911498,0.6829755,0.6937003,0.6264791,0.51986897,0.41963616,0.3523924,0.3182167,0.30398783,0.2965329,0.2903665,0.28484854,0.28150868,0.28041673,0.28055766,0.27965596,0.27604362,0.2690853,0.25990146,0.25025952,0.24179251,0.23493512,0.23039152,0.22950263,0.23554178,0.24828124,0.26367888,0.2722958,0.2698346,0.25791815,0.24532102,0.23757537,0.23588389,0.23679475,0.23764788,0.23760056,0.23771584,0.23894714,0.241361,0.24346043,0.2438247,0.24164815,0.23779257,0.2330146,0.2275704,0.2207896,0.21293877,0.20609379,0.2033877,0.20682383,0.21509124,0.22470893,0.23173527,0.23456053,0.23353809,0.23079306,0.22851634,0.22839087,0.23050489,0.2337236,0.23629868,0.23690744,0.23420273,0.22673388,0.21338885,0.1958443,0.17945175,0.17113477,0.1742693,0.18551195,0.19714017,0.20273818,0.20148568,0.19696827,0.19365537,0.19339378,0.19619787,0.2017417,0.21219508,0.22819354,0.24666272,0.25801516,0.25538528,0.2389444,0.21823566,0.20233661,0.19533277,0.1948037,0.19675918,0.19807726,0.19779645,0.19641002,0.1951118,0.1937362,0.1908005,0.18457335,0.17634948,0.1699513,0.16920547,0.17445718,0.18243705,0.18945001,0.19349007,0.19677992,0.20639353,0.23656563,0.3030646,0.41050228,0.53786594,0.6409345,0.67655087,0.63140374,0.5312104,0.4208289,0.3360299,0.28824833,0.26985517,0.26731017,0.2699416,0.27204597,0.27155423,0.26889172,0.26556185,0.26273504,0.2603034,0.25716695,0.25259617,0.24707633,0.24199341,0.23822206,0.23655488,0.23876353,0.2484467,0.26644477,0.28761396,0.3008856,0.2985016,0.2818869,0.26131254,0.24655388,0.24066527,0.23990083,0.23915792,0.23572962,0.22991514,0.22306986,0.21691142,0.21294188,0.21254273,0.21606143,0.22259809,0.23058915,0.23814566,0.24372715,0.2459356,0.24474804,0.24146397,0.23821133,0.23610389,0.23447384,0.2319544,0.22792403,0.22363639,0.22089674,0.22104132,0.22375433,0.22843802,0.23724818,0.25823644,0.3037523,0.37875378,0.4691182,0.54049677,0.55965376,0.51706,0.4351598,0.3513534,0.29789004,0.29080614,0.32971036,0.39792886,0.46515474,0.49826428,0.48070303,0.4219074,0.35315272,0.3083156,0.3107598,0.3623682,0.44236755,0.51179546,0.5313329,0.48357403,0.3823137,0.2636102,0.16209005,0.09641693,0.06595918,0.060671862,0.069035016,0.08285958,0.09683753,0.108115435,0.11621181,0.123346604,0.13275439,0.14689602,0.16476387,0.18289942,0.19611771,0.20122552,0.19778676,0.1908778,0.19121957,0.2147126,0.27367386,0.36610207,0.4678091,0.5423153,0.5606585,0.5208989,0.4475776,0.37497696,0.32705715,0.3085612,0.31052473,0.31929576,0.3248502,0.3226827,0.3141648,0.3035479,0.29538792,0.2918392,0.29257476,0.2955558,0.2987765,0.3007254,0.30076423,0.29883775,0.29658404,0.29680225,0.30142644,0.30605796,0.30057946,0.27466592,0.22914739,0.17573488,0.13057466,0.10183385,0.08989213,0.09020349,0.09991359,0.11587232,0.13505024,0.15321471,0.16787773,0.17758626,0.18238048,0.18274744,0.18012218,0.17594445,0.17115068,0.16564889,0.15950464,0.15318127,0.14702643,0.14063174,0.13412958,0.13133444,0.13806129,0.15745737,0.18389712,0.20654286,0.21691628,0.21526653,0.2079324,0.20069343,0.19575709,0.19255175,0.19097103,0.19065814,0.19111307,0.19101965,0.1901718,0.18904418,0.18873914,0.18988168,0.19241858,0.1955157,0.19759704,0.19777715,0.19521736,0.18885334,0.17789973,0.16522954,0.16024207,0.1705396,0.19576919,0.22141464,0.23503232,0.23162489,0.21991336,0.20894535,0.20920788,0.23289041,0.29280815,0.38904807,0.4946822,0.56831825,0.5774187,0.52564317,0.4446448,0.37719262,0.3533708,0.3855277,0.4631112,0.5553275,0.620712,0.62914085,0.57850116,0.4951183,0.41682616,0.37652722,0.388312,0.4441634,0.51300746,0.558117,0.55421114,0.50482196,0.43315342,0.3683386,0.32611084,0.3078039,0.30395687,0.3052698,0.3068764,0.30861422,0.31098685,0.31289598,0.31293836,0.31148055,0.3104197,0.3108362,0.31140134,0.31010386,0.30607805,0.3005627,0.296122,0.29575324,0.3017808,0.31141716,0.3164393,0.30534187,0.2742484,0.22890979,0.18232436,0.14373475,0.11645051,0.099594414,0.09221191,0.092778556,0.09729915,0.10084783,0.10078696,0.098663785,0.098013036,0.10075399,0.106955625,0.11581451,0.12769386,0.1414515,0.15391175,0.15969074,0.15568474,0.14219813,0.12379804,0.1078074,0.10287627,0.1143744,0.13919027,0.16582382,0.18222664,0.1850338,0.18140249,0.18110561,0.1885588,0.20027834,0.21035175,0.2148547,0.21391682,0.20940109,0.2034566,0.19760907,0.19304709,0.19077201,0.1909731,0.19314359,0.19580573,0.19804047,0.19918577,0.19917853,0.19826876,0.1989349,0.20632921,0.22372897,0.24753706,0.26611575,0.26995733,0.2584642,0.2405393,0.22514218,0.2194774,0.23266144,0.27777514,0.35909674,0.4578153,0.534627,0.55611044,0.51921195,0.4518174,0.39121428,0.36416653,0.38193431,0.4405458,0.5202911,0.58775246,0.6107743,0.57770634,0.5049731,0.4275738,0.38083056,0.38646206,0.44331264,0.52478784,0.58904505,0.6015434,0.5579619,0.4829755,0.410594,0.3605579,0.3347187,0.32518134,0.32427782,0.32687524,0.32947496,0.32997945,0.32786608,0.32386354,0.3191018,0.31418,0.30916026,0.30349836,0.29707977,0.29053152,0.2848849,0.28121522,0.2808937,0.28642416,0.29879948,0.3145982,0.3253839,0.3240478,0.31070146,0.2927523,0.27799392,0.26874053,0.26226035,0.2550299,0.24598694,0.23598397,0.22663431,0.21946035,0.21617638,0.21776766,0.22357716,0.23063426,0.2347058,0.23260294,0.22392769,0.21189137,0.20134239,0.19690703,0.20060652,0.21145736,0.22575206,0.2387659,0.24694645,0.24909781,0.24658304,0.24171716,0.23664735,0.23174304,0.22566111,0.21603978,0.20198934,0.18524934,0.16956536,0.15830185,0.15323228,0.15540402,0.16545372,0.18278311,0.20342197,0.2216718,0.23286165,0.23656146,0.23551269,0.23303561,0.23029621,0.22585471,0.21900636,0.21242033,0.2124135,0.22121708,0.23315793,0.2358314,0.22207184,0.19401817,0.16232397,0.13886772,0.13712859,0.17254527,0.2542731,0.37351465,0.49546397,0.57829136,0.5941338,0.5497156,0.47689867,0.41763675,0.4026394,0.44024602,0.5131631,0.5845484,0.618701,0.59813213,0.5341861,0.4567519,0.40016344,0.38859817,0.426692,0.49660754,0.5625066,0.5900002,0.56447726,0.4994103,0.4234058,0.36106536,0.32195285,0.30249295,0.29561695,0.29534712,0.29823443,0.30109754,0.30150175,0.298584,0.2932121,0.28774548,0.28369984,0.2818537,0.2808548,0.27913985,0.275449,0.27068007,0.26802418,0.2710037,0.28179297,0.29656902,0.30837044,0.30889082,0.29803845,0.2814637,0.26844946,0.26222256,0.26122034,0.26080218,0.2582407,0.2528377,0.24569483,0.23894353,0.23486787,0.23466307,0.23763295,0.24171425,0.24482614,0.24571162,0.2441039,0.24036123,0.23534037,0.2299686,0.22459787,0.21850564,0.21062243,0.20144618,0.19376414,0.19170941,0.1969841,0.2075231,0.21735965,0.22112824,0.21633111,0.20519775,0.1918534,0.17980097,0.17009692,0.16221161,0.15632194,0.15347223,0.15496238,0.16013418,0.16735266,0.17536223,0.18519558,0.19836195,0.21444929,0.22908856,0.23619895,0.23108716,0.21554802,0.19825552,0.19263001,0.20490086,0.22916858,0.24787734,0.24949665,0.23470223,0.21602012,0.20369758,0.20545213,0.23060656,0.2917355,0.39123335,0.50682884,0.5973598,0.6273616,0.5922573,0.5194646,0.44995776,0.41620603,0.4299843,0.4818797,0.5446055,0.5862016,0.5829689,0.53429264,0.4601346,0.39229596,0.35938177,0.37603799,0.43639717,0.51104873,0.56263345,0.56327814,0.5152461,0.44279277,0.3800243,0.3519098,0.3697946,0.42730284,0.4989461,0.5508344,0.55534256,0.5122017,0.4418192,0.37413648,0.32594585,0.30110323,0.2926232,0.29329893,0.2969791,0.3002094,0.30114007,0.3006827,0.30176654,0.30789265,0.3177252,0.3246368,0.31878924,0.29673457,0.26309463,0.22848439,0.20055956,0.1815506,0.16903996,0.15973563,0.15080808,0.14008522,0.12618445,0.10935327,0.091454476,0.075527936,0.06468153,0.06240155,0.07140109,0.0920467,0.12007562,0.14819364,0.16973488,0.18223643,0.1874523,0.18903027,0.19057834,0.19442862,0.20136906,0.21011461,0.21824849,0.22326006,0.22360362,0.21874829,0.20989686,0.20052437,0.19517787,0.19646387,0.20260088,0.20918767,0.21179764,0.20789947,0.19553512,0.17471753,0.1495582,0.12926061,0.122609675,0.13134612,0.14870887,0.1651902,0.17564519,0.18193619,0.19029243,0.2070082,0.23156357,0.25501552,0.2624739,0.24630247,0.21181996,0.17526852,0.1508314,0.14667928,0.16893381,0.22692807,0.32398054,0.44352737,0.54604673,0.5924568,0.5700013,0.50265366,0.43043748,0.38756606,0.38844308,0.4308975,0.49579242,0.5533162,0.57256883,0.54229474,0.4764539,0.40755424,0.3666047,0.37170187,0.42220816,0.4975539,0.56327647,0.58505416,0.5511251,0.47768238,0.3978747,0.3378867,0.30668756,0.29846767,0.3022461,0.3064785,0.30114353,0.2800941,0.24437761,0.20269668,0.16756953,0.14887224,0.14888282,0.16217142,0.1801642,0.19522952,0.20239228,0.19882202,0.186972,0.1759428,0.17722625,0.19342406,0.21352041,0.2212453,0.20939423,0.18400861,0.15624611,0.13273986,0.11518202,0.10415101,0.100679256,0.10351627,0.10966154,0.117405094,0.12827666,0.14268844,0.1564867,0.1631509,0.16128673,0.1570098,0.15806468,0.16610336,0.17635484,0.18391168,0.18888277,0.19418074,0.20135863,0.20834702,0.21258835,0.21312363,0.21120293,0.2085089,0.20610034,0.20417905,0.20206636,0.19858111,0.19255376,0.18339448,0.17186122,0.16022858,0.15264207,0.15299016,0.16241603,0.17745484,0.19229756,0.2021894,0.20528138,0.20128602,0.19012205,0.1721618,0.14917466,0.12465423,0.10410729,0.09523668,0.105967544,0.13682196,0.17754994,0.20970058,0.22204544,0.21564144,0.20309351,0.19662656,0.20784271,0.2481467,0.32486376,0.42885324,0.5274677,0.58159083,0.5699619,0.5068118,0.42918503,0.37617478,0.37040734,0.4136629,0.48803177,0.5601053,0.5959541,0.5773483,0.51424,0.43603778,0.3750563,0.34926927,0.35677287,0.38072133,0.40024343,0.4034394,0.39109778,0.37295458,0.3574814,0.3477323,0.3419707,0.33794877,0.33444223,0.33129522,0.32845196,0.32590172,0.3237963,0.3224305,0.32187712,0.32152805,0.32046953,0.31786743,0.3134913,0.30748877,0.3005147,0.29329082,0.2865294,0.28042904,0.275461,0.27256396,0.27312756,0.27722713,0.2831116,0.2877947,0.28949168,0.28837672,0.28613564,0.28407612,0.28261256,0.28140715,0.28012052,0.27870625,0.27729952,0.27613446,0.275174,0.2741549,0.27256706,0.270031,0.26659656,0.2626978,0.2588671,0.2550508,0.25069973,0.245157,0.2385946,0.23205261,0.2269495,0.22403209,0.22290187,0.22216654,0.2202102,0.21607067,0.2098179,0.20254171,0.19562559,0.19016021,0.18623202,0.1831703,0.18017797,0.17740156,0.17571162,0.17579289,0.17682344,0.17717333,0.17560975,0.17270905,0.16979001,0.16772844,0.16577257,0.1624086,0.15638663,0.14831549,0.14127389,0.14055325,0.15036477,0.17032164,0.19375147,0.21213204,0.22054602,0.22058165,0.21715008,0.21441571,0.21427839,0.21712363,0.22237779,0.22795795,0.23110895,0.2309479,0.22967766,0.23111916,0.2367552,0.24428709,0.24974799,0.2510757,0.24971503,0.24766725,0.24534811,0.2412707,0.23511918,0.2287032,0.22443138,0.22313225,0.22308739,0.22169292,0.21678042,0.2083583,0.19845998,0.18995787,0.18497436,0.18375279,0.18589772,0.18997209,0.19433431,0.19600834,0.19343346,0.18675679,0.17901616,0.17270206,0.16908453,0.16698296,0.16537453,0.16378176,0.16313188,0.16417168,0.16687448,0.16967373,0.17036615,0.16738236,0.16123652,0.15416859,0.14899395,0.14723317,0.14872809,0.15155925,0.15337944,0.1524495,0.14864604,0.1430129,0.1371179,0.13259701,0.13106553,0.13302411,0.13635707,0.13627356,0.12833574,0.11241146,0.093725085,0.07942507,0.07334116,0.07371896,0.07592306,0.07738353,0.081078745,0.09281085,0.117119074,0.15088272,0.18574353,0.21063416,0.2210763,0.21796487,0.20610249,0.18761027,0.16495398,0.1447985,0.13796805,0.15134661,0.18019025,0.21099265,0.23104465,0.23552285,0.22634132,0.20847501,0.18871756,0.1753946,0.1746213,0.18612038,0.20323251,0.21772961,0.22419274,0.22052003,0.2082361,0.19202946,0.17978545,0.1778904,0.18834592,0.2066005,0.22478373,0.23351304,0.22651573,0.20386814,0.17603368,0.15912764,0.16581343,0.19529718,0.2345302,0.26657605,0.280158,0.27298275,0.25024787,0.2227726,0.20251615,0.19836764,0.2103707,0.23143323,0.25106618,0.2627803,0.267519,0.2759231,0.3030556,0.35822546,0.43345413,0.50539654,0.5483284,0.55125296,0.52072084,0.4743613,0.42866382,0.39422217,0.3734676,0.36419356,0.36096564,0.35958776,0.3570989,0.3545437,0.35416627,0.3589408,0.36828634,0.37947842,0.3882232,0.39221668,0.3913585,0.38821068,0.38577786,0.38585493,0.38772002,0.38850346,0.3842288,0.3711069,0.34796366,0.3178078,0.28661588,0.2598007,0.23920076,0.22390753,0.21206361,0.20200533,0.19179796,0.17919116,0.16422772,0.15115221,0.14770414,0.15916051,0.18317266,0.21066336,0.23180808,0.24222511,0.24232976,0.23510633,0.22364034,0.21171242,0.20309527,0.19973004,0.2013985,0.2058569,0.21111329,0.21524628,0.21792255,0.21916153,0.21824194,0.2116604,0.19605152,0.17255701,0.14894982,0.13387416,0.1311046,0.1376674,0.14993072,0.16654475,0.18822984,0.21291685,0.23588757,0.25226286,0.26073563,0.26328167,0.26291266,0.26106468,0.25728548,0.251327,0.24633197,0.24847125,0.26122057,0.2792598,0.29021713,0.28486052,0.2643732,0.23725396,0.21287568,0.20090169,0.21775103,0.27789688,0.37955856,0.49043003,0.5698207,0.59325665,0.5723961,0.53565544,0.51016206,0.50767994,0.5292557,0.5672009,0.6049059,0.6228483,0.6062477,0.5572935,0.49200705,0.43583772,0.41034544,0.42638704,0.47709408,0.53942245,0.5830922,0.58568025,0.54499745,0.4788188,0.41262576,0.36451444,0.33855227,0.32863465,0.32666826,0.32740328,0.32961044,0.33338442,0.3390378,0.34519604,0.35060057,0.3542999,0.35684693,0.35833976,0.35866618,0.35742378,0.35550618,0.35473523,0.35685006,0.36232588,0.36812067,0.36922035,0.36013794,0.3410761,0.3163908,0.29271474,0.27283427,0.2576191,0.24681884,0.24098922,0.2384202,0.2363876,0.23246868,0.22782288,0.22397935,0.22027092,0.21292496,0.20048177,0.18728293,0.18066174,0.1838097,0.1924088,0.19889796,0.19823806,0.19031881,0.1783558,0.16827309,0.16672705,0.17799193,0.1988361,0.21977518,0.23114116,0.23010832,0.2207088,0.20860319,0.1970287,0.18627565,0.17545396,0.16309743,0.14910592,0.13718782,0.13451914,0.14636648,0.17038764,0.19753025,0.21867597,0.2300966,0.23311077,0.23036295,0.22408783,0.21619551,0.20939778,0.20644349,0.21138959,0.22670233,0.25154814,0.2765429,0.29002956,0.2842789,0.2630039,0.23734374,0.22161429,0.23189604,0.28095624,0.3702606,0.47610974,0.5616367,0.596193,0.58143777,0.54134524,0.50606036,0.4913733,0.50215656,0.5341986,0.5745676,0.6017725,0.5953954,0.5531758,0.49288464,0.44257787,0.42316636,0.44140908,0.49001047,0.5477342,0.5883584,0.58912235,0.548975,0.484365,0.42180517,0.37743822,0.3550872,0.3477768,0.34733295,0.34793246,0.34721446,0.34556925,0.34386596,0.34301051,0.3427519,0.34299338,0.34349096,0.3443438,0.34516266,0.34542954,0.34456804,0.34270385,0.3412379,0.34236667,0.34740463,0.35431197,0.35851634,0.35604,0.34727034,0.33614647,0.32696533,0.32124278,0.31818378,0.31636757,0.31509662,0.31410155,0.31287393,0.31066045,0.30683896,0.3016518,0.29577824,0.29059002,0.28764603,0.28930795,0.29649672,0.30797803,0.31935588,0.32698956,0.3295218,0.32894328,0.32754272,0.3273487,0.3295184,0.33458146,0.34127557,0.34669456,0.34785843,0.34349978,0.33449543,0.32326922,0.3131534,0.30741668,0.30768275,0.3126324,0.31877264,0.32263,0.32312313,0.32137823,0.31969288,0.31927666,0.32031116,0.3216913,0.32243824,0.3214685,0.3184815,0.3143812,0.31204733,0.3156154,0.32703876,0.34337863,0.3566015,0.35949874,0.35061625,0.33554268,0.32194754,0.31741193,0.3300365,0.37025687,0.44162276,0.5306043,0.60408086,0.6299119,0.5985415,0.5306875,0.4607546,0.41841188,0.41939148,0.4634038,0.5322662,0.59220093,0.6109943,0.5784261,0.5129578,0.44745383,0.40998057,0.4156655,0.46328315,0.53474766,0.59572786,0.61341673,0.5764183,0.502418,0.42339396,0.36343607,0.33000812,0.31718567,0.31657556,0.32145354,0.3278166,0.33326808,0.33625042,0.33712375,0.33672062,0.33652878,0.33656922,0.33581984,0.33273903,0.32712874,0.3209174,0.31694213,0.31748733,0.32355735,0.33442274,0.3469659,0.3551551,0.3533684,0.34063438,0.3219734,0.3048698,0.2934301,0.2878095,0.28521314,0.28393033,0.28257927,0.28106895,0.279534,0.2793828,0.2821114,0.28826272,0.29716173,0.3073332,0.3175608,0.32607618,0.3306999,0.32986283,0.3240302,0.31619814,0.3092362,0.30487427,0.30249476,0.30080464,0.2981335,0.29333776,0.28711674,0.28191313,0.2811276,0.28531784,0.292065,0.2974408,0.29977164,0.29992518,0.2996752,0.29972968,0.30019772,0.30098286,0.30233613,0.3033521,0.3031689,0.30069497,0.29631725,0.29038426,0.28420028,0.27901217,0.2768317,0.27895066,0.28616592,0.2982831,0.31288013,0.32493052,0.3276107,0.31892452,0.3033005,0.29018998,0.28731504,0.30022463,0.3357011,0.3983339,0.48235488,0.56308126,0.61103934,0.6106927,0.5735584,0.52648455,0.49468482,0.4920328,0.5196416,0.56777626,0.61397105,0.63336235,0.60997564,0.54991543,0.47593895,0.41702774,0.39496005,0.41719016,0.4748234,0.5421075,0.5881416,0.58907825,0.5444112,0.47352228,0.40515676,0.3583903,0.33735713,0.33381024,0.3374903,0.34121892,0.34247836,0.34098098,0.33714235,0.33151138,0.32538712,0.32162872,0.32308626,0.33037794,0.34031925,0.34842566,0.35229686,0.35385454,0.35699388,0.364179,0.3716295,0.3713671,0.35476676,0.32140112,0.27701047,0.23098437,0.1883579,0.15333779,0.12985967,0.12301018,0.13289785,0.15359695,0.17573906,0.19242483,0.20189315,0.20618576,0.20882976,0.2125991,0.21923514,0.2284984,0.23884122,0.24724345,0.25100148,0.24819969,0.2391658,0.22592688,0.21207488,0.2011498,0.19592486,0.19670375,0.20126325,0.204924,0.20298009,0.19294845,0.17650022,0.15953302,0.1491728,0.1505021,0.1624937,0.17970057,0.19483258,0.20387284,0.20563407,0.20060782,0.18915248,0.17232068,0.15309875,0.13516824,0.122866504,0.12048302,0.13335316,0.16488266,0.21312082,0.26921102,0.3193314,0.3508073,0.3556272,0.3346764,0.29509684,0.24763338,0.2027144,0.17227745,0.17373641,0.22284675,0.32244635,0.4452069,0.54981786,0.59985596,0.5956667,0.5598369,0.5247101,0.50524527,0.50656706,0.5246442,0.5517194,0.57334703,0.57276416,0.54405814,0.49599004,0.45058182,0.4283117,0.4409033,0.4850489,0.54263717,0.5867669,0.5940018,0.55949885,0.4978068,0.43257236,0.3805751,0.3469572,0.3289294,0.32174763,0.3204645,0.32010353,0.31703615,0.31130096,0.30594876,0.30424187,0.3061587,0.30879653,0.30911335,0.30728367,0.30599365,0.30718747,0.310387,0.31471285,0.32175502,0.33124402,0.337055,0.32694918,0.29501244,0.24746118,0.20038863,0.1660567,0.14758603,0.14179213,0.14518307,0.15458685,0.16396129,0.16692203,0.16259016,0.15874736,0.16529582,0.18470334,0.21004283,0.23059921,0.24013312,0.23824918,0.2291552,0.2178344,0.20859964,0.20339264,0.20253138,0.2058595,0.21290274,0.2213875,0.22582375,0.2211457,0.20736486,0.19269459,0.18772905,0.19833992,0.22051829,0.24485217,0.26282158,0.27183953,0.27364925,0.2710776,0.26556635,0.25762084,0.24830426,0.23977357,0.2344417,0.23293525,0.23300672,0.22978036,0.21849972,0.19718504,0.16983868,0.14614773,0.13960235,0.15855007,0.19929588,0.24298246,0.2677584,0.26219207,0.23296517,0.19671291,0.17066985,0.16973746,0.20737238,0.28904843,0.39927816,0.50172764,0.5591095,0.5595619,0.52172667,0.47847378,0.45519462,0.46358034,0.50183105,0.5574892,0.6061397,0.6232435,0.59658664,0.5371669,0.4681386,0.41166815,0.3759458,0.35931018,0.3548796,0.35763177,0.36347333,0.37028074,0.37632236,0.38098177,0.3834611,0.38296556,0.3789662,0.37200245,0.36382332,0.35674906,0.35261035,0.35192427,0.35327494,0.3542229,0.35225198,0.34684014,0.3393443,0.33289263,0.32984492,0.33114514,0.33519855,0.33972454,0.34238526,0.34244367,0.339931,0.33594868,0.3316035,0.32840455,0.32694307,0.32697165,0.32701612,0.32586268,0.32308552,0.31949294,0.31645295,0.31523404,0.31636357,0.31907797,0.32172155,0.3224013,0.32040462,0.31629607,0.31181368,0.3084207,0.30684602,0.3066115,0.3068247,0.30676755,0.306216,0.30560508,0.30569258,0.30784997,0.31294024,0.32063106,0.3287666,0.33469757,0.33650854,0.3332579,0.32462904,0.31158137,0.29725218,0.28607088,0.28039905,0.2788585,0.27792707,0.27574113,0.27314946,0.27187014,0.272409,0.27414063,0.27662325,0.27965248,0.28253666,0.2842652,0.28442457,0.2841948,0.28465688,0.28615046,0.28725883,0.28681162,0.28426075,0.28054428,0.27706417,0.2750289,0.27459666,0.27488482,0.2747066,0.27352393,0.2715106,0.2690601,0.2658712,0.26131973,0.25500342,0.2474634,0.23990297,0.23328404,0.22800767,0.22372717,0.22052658,0.21881562,0.21935214,0.22167645,0.22453475,0.22708245,0.23112898,0.23976386,0.2539717,0.26977488,0.2808096,0.28312433,0.27802584,0.27002326,0.26356265,0.2609469,0.26216137,0.26509988,0.2666867,0.26476637,0.25941277,0.25281888,0.24735725,0.24449544,0.24365379,0.24330856,0.24158843,0.23832937,0.23454337,0.23183851,0.23033978,0.22921832,0.22722705,0.22426184,0.22091435,0.21860935,0.2184652,0.22069222,0.2233339,0.22305638,0.21730798,0.20638311,0.19323891,0.18116492,0.17228699,0.16750443,0.16731668,0.17098634,0.17572385,0.17697291,0.17167439,0.16036512,0.14725323,0.1368369,0.13151975,0.13069266,0.13205516,0.13298458,0.13157484,0.12757361,0.12299303,0.12222601,0.1296265,0.14596885,0.1663891,0.18297859,0.19034415,0.18799682,0.1789905,0.16660179,0.15513173,0.14985384,0.15490444,0.16821717,0.18176723,0.18644966,0.17815383,0.15953259,0.13790664,0.1222001,0.11829916,0.12634473,0.1399497,0.15115543,0.15523489,0.15304787,0.14850335,0.14518255,0.14461525,0.14647599,0.14958346,0.15266292,0.1550396,0.15619592,0.15509492,0.15001799,0.1403888,0.12812093,0.11613817,0.10546743,0.094698876,0.084101535,0.07902587,0.08678827,0.109427415,0.13873571,0.16195345,0.1697727,0.16217817,0.1451975,0.12687059,0.11432921,0.11404395,0.13278343,0.17916478,0.2603875,0.37410367,0.49701014,0.59156364,0.6255242,0.5966665,0.53049266,0.46111694,0.4087546,0.3766749,0.35984412,0.3530291,0.35230085,0.35367382,0.3540853,0.35328507,0.3528122,0.3537593,0.35423264,0.35212526,0.3470715,0.34211302,0.33987498,0.3407793,0.34312168,0.3461884,0.3514608,0.35906658,0.36578527,0.36464283,0.35243216,0.33172557,0.3108776,0.2956811,0.2870178,0.2809256,0.27439633,0.26720047,0.2615163,0.2585722,0.2575288,0.2562398,0.25347847,0.24980436,0.24646463,0.24379174,0.24061467,0.23587804,0.2298794,0.22436617,0.22063363,0.21855463,0.2168367,0.21462542,0.21228711,0.21098728,0.21130896,0.21245421,0.21291822,0.21204512,0.21073939,0.21039803,0.21134128,0.2124926,0.21271992,0.21210086,0.2119146,0.21327572,0.21617968,0.21953063,0.2223187,0.2241024,0.22496133,0.22483788,0.22394937,0.22323728,0.22429423,0.22813416,0.23467763,0.24310021,0.2524065,0.25911486,0.2566194,0.23735954,0.20069867,0.15524562,0.11438534,0.08627262,0.07056969,0.06357211,0.065638304,0.0828046,0.119875826,0.1727845,0.22621588,0.26110676,0.2651518,0.23973805,0.19823296,0.15736504,0.12915103,0.11464044,0.10814217,0.10202669,0.0959141,0.09400514,0.1049035,0.13758029,0.20338778,0.30658078,0.43342987,0.54866916,0.6142066,0.61466366,0.5663671,0.50261647,0.44990453,0.41719988,0.40031692,0.39282453,0.39173794,0.39630604,0.40468845,0.41318396,0.41876543,0.42121458,0.42192826,0.4214437,0.4181529,0.41094872,0.40118286,0.39257422,0.38784075,0.3866464,0.38607076,0.3813822,0.36788228,0.3416274,0.30326453,0.2574622,0.21115996,0.16881754,0.13236043,0.10280036,0.08128728,0.06765402,0.059078068,0.052084494,0.04542385,0.040705416,0.040533412,0.046018187,0.056846667,0.07032686,0.08205464,0.08662996,0.082420975,0.073089845,0.06497631,0.06150252,0.06159057,0.06454081,0.07254978,0.08967162,0.11456195,0.14030917,0.15711366,0.16016485,0.15046953,0.1337399,0.11651682,0.105332464,0.105662994,0.118632436,0.13931996,0.1576146,0.16515763,0.15901539,0.14304681,0.12469977,0.11223202,0.111555725,0.12266765,0.13976465,0.15359308,0.1576888,0.15039027,0.13653925,0.12506348,0.1268117,0.14622027,0.1768993,0.20191216,0.20692916,0.18841498,0.15591332,0.124931395,0.11364868,0.14268677,0.22332604,0.34749138,0.47640458,0.5674889,0.59412783,0.5684293,0.5204229,0.4831237,0.4741336,0.4965035,0.540429,0.5843628,0.6067396,0.59320617,0.54931456,0.49319634,0.44936776,0.4369327,0.46249518,0.5173237,0.5747547,0.6063905,0.5929527,0.54122555,0.47306177,0.41544613,0.38213095,0.3730184,0.37772772,0.38535538,0.3905287,0.3936315,0.39799002,0.40503967,0.41368642,0.42162785,0.42770728,0.43202457,0.43404558,0.4323481,0.42593658,0.41675317,0.40866697,0.40414467,0.40048954,0.3897072,0.36303616,0.3171612,0.25828847,0.19901653,0.1510955,0.119174995,0.101186045,0.093679436,0.09442043,0.101650625,0.10991463,0.11228452,0.10370758,0.085873164,0.06557544,0.052351546,0.055396806,0.08047455,0.12680037,0.1835394,0.23407388,0.2617155,0.25883684,0.22772205,0.18026023,0.13198982,0.09778049,0.08583785,0.094581544,0.11392843,0.13080823,0.1372276,0.13256513,0.12186021,0.11066849,0.10323117,0.10181654,0.10522913,0.10880342,0.106751144,0.09793312,0.085975625,0.07637987,0.072854124,0.0794095,0.10036803,0.1358224,0.17502932,0.19973747,0.19665146,0.16938375,0.1372122,0.12274764,0.1360346,0.1690629,0.20077187,0.21372885,0.203977,0.18237345,0.1642394,0.16363102,0.19373047,0.26335344,0.37003198,0.48708788,0.5765347,0.6066039,0.5782586,0.5173099,0.46059108,0.43343005,0.4466481,0.49514017,0.5574048,0.6020835,0.60159653,0.5535021,0.47973797,0.41571388,0.38940358,0.41357467,0.4807848,0.565144,0.632276,0.65572,0.6318304,0.57604533,0.51169723,0.45546302,0.41483164,0.38850817,0.3716526,0.35926774,0.34893456,0.34042546,0.33411944,0.33023837,0.32978657,0.33386984,0.34274948,0.35340285,0.36186457,0.36472607,0.36199322,0.35574916,0.34983718,0.3481536,0.35232842,0.3596449,0.36309958,0.35711667,0.34117913,0.32067254,0.3015901,0.28771707,0.2797319,0.27680138,0.2773591,0.27972996,0.28307816,0.2872897,0.2921165,0.29660925,0.29976454,0.3019097,0.30353522,0.30468825,0.30375153,0.3000808,0.29432786,0.28909016,0.28641805,0.28738853,0.29183903,0.29882023,0.30655408,0.31187403,0.31179303,0.3045441,0.2914927,0.27572986,0.26137593,0.2513893,0.24721676,0.24777599,0.25016212,0.2510099,0.2485434,0.24360304,0.23892218,0.23734926,0.2401102,0.24590015,0.25162366,0.2541643,0.25289804,0.2507578,0.25246122,0.26172662,0.27816275,0.29840282,0.31638587,0.32662508,0.32480183,0.31172395,0.29227534,0.27341324,0.25939548,0.25406873,0.2657405,0.30753812,0.38467884,0.48017526,0.5565009,0.578769,0.5389948,0.4596499,0.37739465,0.32480446,0.32277092,0.3740848,0.45841852,0.53450507,0.5627088,0.52948153,0.4548891,0.37632978,0.32784638,0.32981482,0.38372183,0.46928334,0.5469628,0.57839376,0.55062616,0.48366523,0.41316855,0.36436883,0.34243396,0.3383057,0.34180954,0.3467135,0.35033166,0.35205796,0.35173464,0.350615,0.34962583,0.35004655,0.35213685,0.35512793,0.35751608,0.35763118,0.35504648,0.35044107,0.34572625,0.34368083,0.34544036,0.34981897,0.35201314,0.3486407,0.33951333,0.3289185,0.3211703,0.31779304,0.31752464,0.31796944,0.3177555,0.3158609,0.3120613,0.30690044,0.30185172,0.29849052,0.29716945,0.29762506,0.2993712,0.30229893,0.30572295,0.3081688,0.30857432,0.30705473,0.30540392,0.30459663,0.30420396,0.3011715,0.2925434,0.27640697,0.2544287,0.23026597,0.20848984,0.19091608,0.17592698,0.15996079,0.1421312,0.1275408,0.12366738,0.13413696,0.15323184,0.17094971,0.17931421,0.17777371,0.1706828,0.1644849,0.16505985,0.17537974,0.1938135,0.2138037,0.22811852,0.23206604,0.22517832,0.21023822,0.19261245,0.17864047,0.17232637,0.17264156,0.17476732,0.17406178,0.16898501,0.15995695,0.14824976,0.13606568,0.12794112,0.1283444,0.1384302,0.15392245,0.16888905,0.17964274,0.18694027,0.19294812,0.19875504,0.20341845,0.20624967,0.20784186,0.20919861,0.20973037,0.20709468,0.2026649,0.20572734,0.23567462,0.30649468,0.4140532,0.5253909,0.6007617,0.6148848,0.5767135,0.51497334,0.45972326,0.4239246,0.4054797,0.39568338,0.38849774,0.38236067,0.37741804,0.37293983,0.36774287,0.36228514,0.3588787,0.35933244,0.36274755,0.36606026,0.3669082,0.36540386,0.36364225,0.3634145,0.36500862,0.36666247,0.36508653,0.3563712,0.3384134,0.31313908,0.2862151,0.26380208,0.24912815,0.2418017,0.23974846,0.24075519,0.24332272,0.24610387,0.24830823,0.24946529,0.24965988,0.24945949,0.24952488,0.25053212,0.25183997,0.25215235,0.24946654,0.24313968,0.23358953,0.22261135,0.21234024,0.20534164,0.20381461,0.20841928,0.21740645,0.22699481,0.23378879,0.23618157,0.23514868,0.23222037,0.22881997,0.22544797,0.22285219,0.2216699,0.22194147,0.22274412,0.22308387,0.22323684,0.2242475,0.2269436,0.23105566,0.23577775,0.23987119,0.24165918,0.23992597,0.23563005,0.23184891,0.23198567,0.23754172,0.24942863,0.26676866,0.28652373,0.3005999,0.302129,0.28890085,0.26730642,0.2469731,0.23965496,0.25770926,0.30953434,0.39121664,0.4784046,0.5394758,0.5524099,0.5235791,0.47749972,0.44228134,0.43210194,0.44760287,0.47870746,0.5086624,0.51992553,0.50237113,0.4623249,0.41842496,0.3918796,0.3957353,0.4313227,0.48860845,0.54567856,0.57792133,0.5687827,0.5238537,0.4643924,0.41478443,0.3860197,0.37594095,0.37529925,0.3761538,0.37397996,0.36755547,0.35816303,0.34874544,0.34204748,0.33912382,0.33855644,0.33846688,0.33776915,0.33724818,0.33723018,0.3367034,0.33406052,0.33019722,0.32884118,0.33198336,0.33614585,0.3330456,0.31752548,0.29127797,0.26196596,0.23646004,0.2181949,0.20702755,0.2010796,0.19775836,0.19476114,0.1914351,0.18846639,0.18674521,0.18629093,0.18666811,0.18777347,0.18931414,0.19051461,0.18999963,0.1876,0.18427008,0.18186073,0.18129379,0.18300664,0.18673976,0.19165117,0.19568121,0.19648045,0.19347572,0.18812637,0.18277799,0.17847316,0.17559378,0.17472996,0.17637265,0.17969638,0.18201904,0.18161803,0.17873426,0.17588411,0.17511034,0.17764433,0.1837037,0.19277646,0.20313402,0.21177359,0.2163681,0.21630575,0.21319352,0.20979287,0.20985883,0.21800983,0.23632026,0.26137578,0.28261784,0.28976643,0.2787949,0.25545028,0.23006253,0.21459971,0.22186308,0.26387954,0.34303454,0.44112635,0.5229394,0.556694,0.5375882,0.4892229,0.44476557,0.42610705,0.43870056,0.4760321,0.52203584,0.55456465,0.55432755,0.51969963,0.46702218,0.420926,0.39880463,0.40825287,0.4459858,0.49726686,0.5378604,0.54519355,0.5160847,0.46702385,0.42332733,0.39878568,0.39445063,0.4022338,0.41590023,0.43080094,0.44455826,0.45406547,0.45759633,0.45493236,0.4485686,0.4416279,0.43659446,0.4337299,0.43159476,0.42798138,0.42144048,0.41243532,0.40292788,0.3953941,0.3903185,0.38617733,0.37972024,0.36936438,0.35591805,0.34277186,0.33301744,0.32825366,0.32814392,0.33139053,0.33642694,0.34166268,0.34572092,0.34743598,0.34621668,0.34217024,0.33638978,0.33044803,0.3258057,0.32268885,0.32030785,0.31728715,0.31323326,0.3084692,0.3041405,0.30089605,0.29924822,0.298535,0.29750773,0.2944241,0.28893676,0.28212026,0.27589977,0.271439,0.26900712,0.26829293,0.2684739,0.26817667,0.2659494,0.26174137,0.2570938,0.25414085,0.2538445,0.25573412,0.2586167,0.26143554,0.2633294,0.26360747,0.26184735,0.25814626,0.25292268,0.2472722,0.24352317,0.24558817,0.25630262,0.27409956,0.2916229,0.30027246,0.2961892,0.2829254,0.26799396,0.25976098,0.2667127,0.29929027,0.36152276,0.4427608,0.5125623,0.53979856,0.5115308,0.44464636,0.3718705,0.3248084,0.32216,0.36473644,0.4353621,0.5005248,0.52832896,0.50458777,0.4425914,0.36929032,0.30843094,0.2687253,0.24728186,0.2369659,0.23199339,0.22814053,0.2223283,0.21300979,0.20114696,0.19004132,0.18346958,0.18455704,0.19352762,0.20760398,0.22074889,0.22755326,0.2257542,0.21803772,0.20914869,0.2030533,0.20093542,0.2019611,0.20466624,0.2075903,0.20957865,0.20992784,0.20907314,0.20832486,0.20881598,0.21050912,0.21199341,0.21166909,0.20858032,0.20333157,0.19747531,0.1929514,0.19096486,0.19208412,0.19635873,0.2033815,0.21191768,0.21970679,0.22448938,0.22502513,0.22217607,0.21852879,0.21716797,0.21974243,0.2249725,0.22943366,0.23009749,0.22674002,0.22172219,0.21723057,0.21403344,0.21227194,0.21265952,0.21588762,0.22019695,0.2236058,0.224209,0.22224428,0.21512765,0.20092972,0.1807004,0.16388683,0.16062434,0.17462204,0.19852062,0.2209837,0.23308359,0.23186092,0.21909297,0.20160474,0.18900217,0.18939559,0.20266406,0.22167327,0.23693287,0.24338557,0.23952079,0.22674416,0.20847373,0.19166942,0.1835751,0.18721712,0.1987048,0.21045125,0.21514273,0.20892195,0.19274992,0.17391916,0.163917,0.1712485,0.19500689,0.22455983,0.2480648,0.2585126,0.2559065,0.24311614,0.22540344,0.20928793,0.20203458,0.20660754,0.22011383,0.23530222,0.24665844,0.25447688,0.2658678,0.29190636,0.33993778,0.40675983,0.47502223,0.52305436,0.5368205,0.51969284,0.48674253,0.45487097,0.43365404,0.4249004,0.42550793,0.4302827,0.43446228,0.43544522,0.43427253,0.4335356,0.43461785,0.43610227,0.43566748,0.43276402,0.429099,0.42671672,0.42576504,0.4249103,0.42321852,0.42130902,0.41965342,0.416072,0.40592706,0.38586223,0.35832313,0.33105183,0.31213844,0.30398032,0.3030413,0.30356386,0.3021965,0.29845774,0.29318777,0.28699473,0.28045925,0.27503464,0.2726008,0.27451625,0.28010386,0.28716695,0.2931149,0.29618332,0.29573658,0.2915863,0.2843633,0.27531624,0.26655987,0.25985578,0.25570083,0.2533153,0.25143802,0.24958985,0.24775736,0.24613081,0.24503177,0.24540375,0.24809016,0.2520982,0.25468644,0.25359687,0.24984527,0.24649131,0.24642886,0.24986093,0.25572845,0.2619339,0.26707324,0.27029166,0.27217177,0.27326193,0.27301243,0.2698976,0.26380494,0.25783756,0.25745708,0.26531175,0.27735543,0.28294423,0.27326474,0.24798316,0.21536219,0.18600516,0.16925359,0.17755039,0.22275807,0.30782905,0.41108307,0.49741808,0.5357706,0.5242713,0.483165,0.44289717,0.42418876,0.43576995,0.47231698,0.51668817,0.54588646,0.5426052,0.50813466,0.46075645,0.4248252,0.41768456,0.44322786,0.49374458,0.54847544,0.58422923,0.5823503,0.54496723,0.4881632,0.43466887,0.39658523,0.37653923,0.36982426,0.37212446,0.37876284,0.3857896,0.3897719,0.3908217,0.3909665,0.39252067,0.39457223,0.39451978,0.38996586,0.38182655,0.3734024,0.3677548,0.3652061,0.3639507,0.36286792,0.36128435,0.35712734,0.3455335,0.3234228,0.29346606,0.26391461,0.24261744,0.23235524,0.23052801,0.23247312,0.23441726,0.2353816,0.23600887,0.23741908,0.23793513,0.23413883,0.2224959,0.20463967,0.18708505,0.17792445,0.17972629,0.18824941,0.19574028,0.19666064,0.18951535,0.17648824,0.1628455,0.15626074,0.1628993,0.18189852,0.2040016,0.21789952,0.21874668,0.21011104,0.19868404,0.18810098,0.17857642,0.16907187,0.15849479,0.14578712,0.13175564,0.12165814,0.122894384,0.13903432,0.1655711,0.19261347,0.21201603,0.22073962,0.22066575,0.21454965,0.20548065,0.19576825,0.18877737,0.18863983,0.20001763,0.22256143,0.24774945,0.26085985,0.25243238,0.2254247,0.19393444,0.1740178,0.1794988,0.22091345,0.3006083,0.40354824,0.49686658,0.54838544,0.5491805,0.5190808,0.48896232,0.47953632,0.4943491,0.5243986,0.55457735,0.5676818,0.5524675,0.51218116,0.4641565,0.4302263,0.42399633,0.4489458,0.49709296,0.55296916,0.5942014,0.6043728,0.58003706,0.5349861,0.4874369,0.45194125,0.43233868,0.42676643,0.4297051,0.43671882,0.4441067,0.45009777,0.45346758,0.4538391,0.45129943,0.4468982,0.4420161,0.4380962,0.43568757,0.4345781,0.43361115,0.4317514,0.42863217,0.42488697,0.42101917,0.41615784,0.40827277,0.396093,0.3810104,0.36660758,0.35598132,0.34965113,0.34549513,0.341146,0.33562985,0.32995299,0.32545367,0.32243362,0.31957594,0.31507957,0.3085425,0.30179498,0.29835352,0.30099294,0.3096268,0.32095483,0.33051953,0.33600593,0.33779848,0.33778724,0.33668697,0.33459604,0.33171222,0.32928613,0.32815906,0.32840148,0.32909486,0.32922995,0.32718346,0.32163453,0.31209233,0.30060378,0.29023877,0.28350177,0.2802087,0.27861068,0.2767446,0.27404627,0.27113092,0.26956722,0.2702751,0.2726361,0.27393723,0.27166972,0.2651841,0.2566871,0.24966921,0.24814336,0.25494266,0.2698513,0.28730756,0.29838976,0.2962112,0.28142023,0.26084492,0.24461536,0.24277405,0.2683579,0.3286754,0.41708133,0.50175446,0.545479,0.5266154,0.45936143,0.3788979,0.3231766,0.3156844,0.3605363,0.44080254,0.51856405,0.55474335,0.5291444,0.45681736,0.3731606,0.31493095,0.3043321,0.34480643,0.42188016,0.5023723,0.55256367,0.5525191,0.5128561,0.45890465,0.4180007,0.4006293,0.40548933,0.4211819,0.4369123,0.44372538,0.43887588,0.42328835,0.40108883,0.37728584,0.35689428,0.34263358,0.33341098,0.3247533,0.3125114,0.29596737,0.2791512,0.26802972,0.2675123,0.27891704,0.29826126,0.3173116,0.32575038,0.31889102,0.3001972,0.28038618,0.26779974,0.2632744,0.26094517,0.25475445,0.2438013,0.23084378,0.2205935,0.21605076,0.21970741,0.23119615,0.24822171,0.26588532,0.2802832,0.28912953,0.29244778,0.2907578,0.28531337,0.27758777,0.2693305,0.26157805,0.2550464,0.2498356,0.24503839,0.23887472,0.23088354,0.22464924,0.22562192,0.23639624,0.25267398,0.2672408,0.27539632,0.2774278,0.2749405,0.2679533,0.2568222,0.24458337,0.23689169,0.2368499,0.24399917,0.2543581,0.2642016,0.26958823,0.2686418,0.26171345,0.2529734,0.2475376,0.24952285,0.260538,0.278096,0.29537764,0.30187008,0.29230663,0.2707916,0.25039098,0.24217297,0.25136623,0.28055966,0.33369175,0.41142377,0.49971676,0.57292885,0.607095,0.599688,0.5677314,0.53693956,0.5247538,0.5367949,0.567095,0.6003475,0.61725956,0.6032807,0.5608534,0.50823003,0.4692913,0.45946547,0.48067507,0.5241035,0.57193047,0.6038391,0.6030388,0.56828505,0.5119415,0.45372936,0.40706682,0.37736547,0.36280355,0.35985348,0.3634553,0.3683548,0.36969224,0.3654677,0.35691503,0.34807667,0.3430958,0.3443056,0.35017213,0.35692486,0.36062935,0.3601317,0.3569388,0.35406518,0.35406268,0.35644034,0.35704395,0.3487467,0.3266924,0.29066283,0.24588405,0.19949281,0.15942962,0.13321789,0.12611024,0.13779074,0.16092892,0.18519048,0.20253946,0.211223,0.21409948,0.21571611,0.21951866,0.2272896,0.23886754,0.25157174,0.2613324,0.2647592,0.26185074,0.25467318,0.2453549,0.23493029,0.22486113,0.21786828,0.21545458,0.2166992,0.21804094,0.21679908,0.21188909,0.20440109,0.19700594,0.19310667,0.1956106,0.20305423,0.21085572,0.21290267,0.20784408,0.19790764,0.18729502,0.17800538,0.17043054,0.16481008,0.16103993,0.159094,0.15866442,0.16167523,0.17130874,0.190288,0.21876462,0.25294378,0.2863262,0.30911756,0.3131638,0.29460287,0.2586389,0.2169522,0.1862834,0.18532884,0.23008643,0.32382682,0.44611987,0.5580835,0.62128836,0.6236498,0.58269036,0.5333114,0.5048935,0.5110826,0.54730755,0.59416944,0.6268155,0.6259139,0.59236664,0.5438263,0.5062494,0.49573216,0.51570165,0.55531746,0.5975106,0.6240352,0.6252315,0.6036653,0.57180315,0.54292744,0.5233758,0.51201844,0.5041706,0.4975808,0.49237844,0.48947978,0.48734257,0.4839135,0.4785467,0.4729744,0.46852186,0.46436465,0.45846927,0.45023832,0.44160345,0.43492255,0.43115652,0.42888772,0.42616817,0.41956833,0.40439072,0.37463498,0.32916462,0.27467063,0.22447343,0.18953286,0.17279065,0.16983521,0.17458455,0.1824248,0.18952732,0.19248469,0.19099982,0.18917419,0.19292678,0.20393328,0.21913755,0.23324715,0.24351515,0.24902315,0.2503321,0.24829285,0.24472676,0.2410966,0.23764396,0.2338778,0.22998391,0.22704832,0.22535785,0.22347231,0.21959728,0.21359873,0.20762007,0.20418154,0.20467407,0.20885004,0.21515362,0.2213722,0.22520338,0.22657661,0.22764178,0.23195451,0.24073617,0.2527664,0.2646966,0.27339903,0.2756656,0.26936367,0.25414875,0.23255068,0.20925526,0.19032244,0.18284498,0.19234133,0.21803148,0.24969648,0.27233943,0.2763302,0.26271912,0.24043919,0.2206044,0.2164752,0.2448941,0.31625235,0.42194152,0.52784586,0.59640425,0.6084049,0.5770095,0.5321112,0.50284207,0.5041711,0.5354082,0.5834021,0.62585145,0.64266986,0.6257003,0.58531564,0.54197603,0.5129518,0.5046014,0.51240516,0.5286966,0.5446952,0.55556923,0.55961317,0.5599091,0.55917424,0.5580632,0.554529,0.5478328,0.5397422,0.53384215,0.53217584,0.5348434,0.54006654,0.54591537,0.5500106,0.55051965,0.54692906,0.5408184,0.5347032,0.53030485,0.52800983,0.52697664,0.52561766,0.5214989,0.5129731,0.5003148,0.4865286,0.47495258,0.46767733,0.4639133,0.46130228,0.456892,0.4492484,0.4386947,0.42718422,0.41666737,0.40845218,0.402631,0.39843026,0.39413705,0.38801217,0.3790461,0.3677647,0.35571837,0.34460118,0.3353536,0.32787845,0.3214157,0.31532836,0.30933836,0.3035281,0.2977862,0.29286274,0.29020464,0.29152533,0.29653776,0.30315748,0.30846894,0.3102354,0.30666384,0.2968965,0.28206185,0.2657061,0.25159514,0.24121541,0.23353057,0.22714527,0.22151797,0.21649303,0.21108657,0.20433114,0.19616157,0.18799366,0.18129587,0.17687617,0.17438011,0.17301308,0.17173703,0.169973,0.16752988,0.16484304,0.16232766,0.16029954,0.15877587,0.15767188,0.15686224,0.15608497,0.15508325,0.15342794,0.1507104,0.1465357,0.14087278,0.13380523,0.12525319,0.11485634,0.10263661,0.08960813,0.07766459,0.06873377,0.063850485,0.06279217,0.06432653,0.066600464,0.068501264,0.07211644,0.08478811,0.11721051,0.17388284,0.24777992,0.32054797,0.3783054,0.4163855,0.44120428,0.45681694,0.46454978,0.46194747,0.4491314,0.42755568,0.40011382,0.36940908,0.3379737,0.3077469,0.28034022,0.25665632,0.23711841,0.22149684,0.20956148,0.2011609,0.19605827,0.19326611,0.19096373,0.187042,0.18054871,0.17240946,0.16547982,0.16238582,0.1639149,0.16778731,0.17042817,0.16905193,0.16365437,0.1564899,0.15031527,0.14662337,0.14529948,0.14538552,0.14601208,0.14664432,0.14718062,0.14761704,0.14814295,0.14882566,0.14974725,0.15080948,0.15174115,0.15197138,0.15078597,0.14772284,0.14307474,0.13839418,0.13636853,0.13971782,0.1487853,0.16038297,0.16869216,0.16947298,0.16189776,0.14864624,0.13285418,0.11817937,0.1086841,0.10797349,0.11603258,0.1276093,0.1353848,0.13403751,0.12382472,0.10928679,0.09697384,0.09188533,0.0951693,0.10426409,0.11404488,0.12068222,0.122278266,0.11998686,0.11557737,0.111269094,0.10832854,0.107220285,0.107100666,0.106707215,0.105160445,0.102525435,0.09931561,0.09587517,0.09208874,0.08722684,0.08042001,0.0715202,0.06256073,0.057779904,0.061432093,0.0743013,0.092246205,0.10821143,0.116723806,0.115986295,0.108448476,0.09831056,0.091196746,0.09109361,0.10159389,0.124488674,0.16389151,0.21891367,0.28326344,0.33955404,0.37513474,0.38533437,0.38024864,0.36983636,0.3613085,0.35462812,0.3487974,0.34203622,0.33295238,0.32063034,0.30576006,0.29104838,0.27918014,0.27129024,0.26595065,0.261362,0.2567772,0.25329933,0.25181898,0.25180563,0.25158653,0.25001234,0.24763237,0.24547821,0.24421842,0.24315633,0.2415881,0.23919599,0.23668946,0.23484665,0.23381914,0.23296958,0.23151211,0.2296081,0.22811902,0.22805078,0.22943161,0.23143859,0.23307282,0.23411705,0.2353764,0.23754595,0.24040987,0.24273407,0.24383087,0.24419756,0.24511482,0.2472802,0.25014648,0.2526947,0.2542827,0.2555703,0.25752187,0.26063848,0.2640382,0.26661536,0.26803795,0.26920435,0.27124026,0.27443016,0.27812394,0.2812194,0.2832273,0.2842979,0.28507367,0.2856584,0.28584307,0.28544447,0.28514788,0.28591847,0.28831062,0.2918636,0.29568812,0.29931423,0.30294207,0.3060939,0.30563667,0.29504728,0.26800779,0.22372144,0.17047052,0.12145267,0.08708168,0.069054045,0.062190805,0.060747508,0.06303791,0.070984244,0.08567826,0.10471189,0.122482516,0.13337632,0.13394342,0.124072246,0.10746068,0.09030568,0.078523435,0.072673686,0.06921547,0.06388876,0.058576256,0.058523696,0.071732186,0.10591001,0.17284162,0.2770495,0.40756106,0.5284466,0.6033415,0.6140335,0.57833415,0.52811307,0.49276027,0.4791858,0.47977754,0.48007414,0.47266996,0.45843616,0.4433978,0.43155804,0.42230704,0.4134138,0.40438107,0.39723408,0.39284483,0.38946652,0.38407293,0.3757694,0.36659375,0.35934365,0.3550414,0.35049936,0.3388671,0.31240752,0.26861772,0.2131639,0.15689133,0.10904515,0.07344638,0.05038617,0.038862627,0.03630754,0.037580993,0.03699162,0.03272682,0.027030101,0.023829648,0.024625964,0.029572517,0.037693482,0.047139328,0.05413267,0.055261362,0.05107503,0.0450795,0.04107227,0.03957576,0.04191002,0.050782908,0.0697827,0.09716926,0.12628873,0.14909089,0.16106105,0.16169207,0.15243977,0.13635768,0.118599385,0.1055229,0.101897836,0.10738042,0.11772301,0.12598526,0.12736703,0.12047646,0.10986049,0.102752864,0.105176575,0.11725194,0.1336747,0.14755698,0.15396132,0.15092672,0.13983716,0.12663762,0.12160697,0.13110322,0.15093692,0.16516733,0.16088583,0.13631156,0.1027037,0.07468722,0.068203844,0.10151303,0.18605042,0.31475782,0.4502286,0.5479526,0.5791054,0.55295867,0.5009163,0.4575453,0.4432564,0.4625977,0.5081445,0.55910236,0.59033656,0.5809904,0.5315985,0.46299398,0.40712932,0.390094,0.42028376,0.48651925,0.5599007,0.6088546,0.6121545,0.5719108,0.5086959,0.44861606,0.40852728,0.3897377,0.38297117,0.37652496,0.3652011,0.3513018,0.34124193,0.3389252,0.34294033,0.34849834,0.3515207,0.35124612,0.34882507,0.34516278,0.33974972,0.33224824,0.324507,0.31983435,0.32020494,0.32107806,0.31329408,0.28792503,0.24648435,0.19957238,0.16110395,0.13720551,0.12614867,0.12216747,0.12061118,0.11835254,0.112547316,0.10203005,0.08725726,0.07072169,0.054921012,0.043409955,0.04106116,0.051922113,0.075737976,0.1052433,0.13095154,0.14497638,0.1454047,0.13366888,0.11496532,0.09650957,0.08659794,0.08916551,0.100891985,0.113601096,0.12045496,0.120227136,0.11508476,0.107499056,0.099349715,0.0939855,0.09542043,0.10386937,0.11305717,0.11402133,0.102636,0.082954064,0.06330264,0.051166892,0.051111106,0.06449178,0.087676026,0.110135056,0.119390905,0.10865611,0.084459044,0.06273879,0.061623782,0.08739493,0.13166867,0.17295909,0.19440003,0.19177686,0.17649972,0.16339518,0.16641928,0.19864066,0.27152357,0.38675284,0.5231441,0.64294624,0.7077899,0.7052868,0.65097266,0.5816491,0.53221405,0.52463454,0.55648875,0.60399914,0.6327707,0.62023216,0.57067055,0.5111029,0.47114503,0.46661627,0.49582848,0.5464156,0.5979302,0.63081867,0.6331587,0.6114755,0.5813162,0.55769545,0.5436549,0.53652924,0.5318868,0.5279373,0.5231795,0.5175008,0.5118797,0.5086288,0.5089535,0.51294804,0.5187971,0.5241149,0.5259011,0.52278787,0.5153956,0.5063184,0.49816182,0.49296048,0.49193195,0.49485135,0.4989654,0.49934804,0.49227926,0.4782178,0.46203908,0.4493895,0.443393,0.44330212,0.44570306,0.44648877,0.44280043,0.43444034,0.4237207,0.41405785,0.40800405,0.4059782,0.40646946,0.4065179,0.4033623,0.3952621,0.38315305,0.369753,0.35843492,0.35064188,0.34591424,0.34293377,0.34080756,0.3388791,0.33549145,0.3288488,0.31810236,0.3048947,0.29200652,0.28213704,0.276515,0.27457416,0.27398297,0.27155134,0.26551783,0.25691143,0.24887943,0.24406213,0.2428932,0.24424224,0.24641903,0.24799313,0.2475399,0.24485601,0.24120025,0.23851173,0.23787725,0.23974007,0.24589165,0.25797796,0.27468073,0.28938603,0.2952982,0.2902835,0.27768207,0.26206818,0.24884565,0.24910259,0.27997342,0.35353962,0.46062985,0.5688525,0.64029455,0.6571118,0.63084155,0.59277844,0.57212585,0.5838576,0.62350774,0.6731963,0.70756406,0.70684415,0.66686463,0.6021037,0.534924,0.47927225,0.43340147,0.3861098,0.33076215,0.27230892,0.22265281,0.19049199,0.17494546,0.16768907,0.15968782,0.14666468,0.13135596,0.120309316,0.119585074,0.12971286,0.14563592,0.15966888,0.16633345,0.16441548,0.15714188,0.14918245,0.14459212,0.14307712,0.1418439,0.13720816,0.1292551,0.120269656,0.1128535,0.107453644,0.104143895,0.105316006,0.11444452,0.13297318,0.15628485,0.17723054,0.18998425,0.1942087,0.19213395,0.18583298,0.17490675,0.15796202,0.13463975,0.107027136,0.07928756,0.05561091,0.03824773,0.026838565,0.019532632,0.014546149,0.010940277,0.0084185125,0.006798623,0.0057916627,0.0051221712,0.004680935,0.0046004113,0.005208583,0.00692467,0.010001971,0.014174439,0.018476076,0.021541573,0.022598444,0.022957386,0.026516085,0.03840074,0.060385644,0.08785635,0.10968101,0.1157563,0.103421666,0.081152685,0.061966125,0.056198016,0.0660037,0.08755223,0.11484531,0.14248808,0.16650482,0.1843812,0.1954847,0.20005979,0.19869053,0.19248283,0.18410492,0.17715274,0.17425595,0.1751706,0.17692906,0.1746766,0.16441159,0.14540051,0.122782476,0.10557508,0.10192683,0.11359992,0.13488,0.15683253,0.17255203,0.1805176,0.18260187,0.18137747,0.17781486,0.17254992,0.16712672,0.16425233,0.16569054,0.17401953,0.19574906,0.24610929,0.33647975,0.46275958,0.59153056,0.6820522,0.7049704,0.6672171,0.597265,0.5312778,0.48843172,0.47048342,0.46530685,0.4608973,0.45174035,0.43946004,0.42758617,0.4170588,0.40634033,0.39370763,0.37982762,0.3669405,0.35703495,0.34994188,0.34377944,0.33674797,0.3296143,0.3261533,0.33061817,0.34180033,0.35169253,0.34943983,0.33186445,0.30534676,0.2815366,0.2667217,0.26015255,0.2568932,0.25401464,0.25135708,0.25021192,0.25055277,0.25118956,0.25068352,0.24912018,0.24768005,0.24764092,0.24921264,0.25158778,0.25388637,0.25589463,0.25839487,0.26206473,0.2664682,0.26910675,0.26579368,0.25109872,0.22112715,0.1763873,0.12461034,0.076990165,0.042814035,0.023809122,0.016074905,0.013711809,0.013037655,0.0126044415,0.012391424]