[4.217442E-05,3.584916E-05,2.383205E-05,1.2519434E-05,5.487824E-06,2.705472E-06,2.0551695E-06,2.091828E-06,2.257602E-06,2.5769514E-06,3.4681325E-06,5.9524864E-06,1.2010797E-05,2.4304376E-05,4.5762135E-05,7.903363E-05,0.00012680504,0.00019136952,0.00027336003,0.00036839838,0.00047168788,0.00058003917,0.0006983182,0.00082465954,0.0009544324,0.0010760942,0.0011936368,0.0013144123,0.0014475505,0.0015880358,0.0017348073,0.0019024102,0.0021356756,0.0024769062,0.002940369,0.0034725813,0.004008466,0.0044964855,0.0049435184,0.0053390674,0.00562896,0.0057259374,0.0056071035,0.0053933016,0.005304932,0.0055997237,0.006479109,0.008096444,0.010441146,0.0132718785,0.016095648,0.018485071,0.020282991,0.021603025,0.02241637,0.022474945,0.021637095,0.02033536,0.019392941,0.019244215,0.01945941,0.019121803,0.017712435,0.015521235,0.013290486,0.011680517,0.010985549,0.011215293,0.012752563,0.017072484,0.02755105,0.04724353,0.07637107,0.10953155,0.13905485,0.15879922,0.1682363,0.17033136,0.16896601,0.16601998,0.16173658,0.15580231,0.14885013,0.14330693,0.14237519,0.1482702,0.15988815,0.17353727,0.18499167,0.19198781,0.19436568,0.19268946,0.18768351,0.17984235,0.17008172,0.15902762,0.14727004,0.1357124,0.12565781,0.11856932,0.114312716,0.112102956,0.11069765,0.110126026,0.11057162,0.112163275,0.11528591,0.12032837,0.12786134,0.13639565,0.14456512,0.15095302,0.15623944,0.1607436,0.16482039,0.16818891,0.17080571,0.17230321,0.17192084,0.1692766,0.16540766,0.16216208,0.16122425,0.16232894,0.164908,0.16788132,0.17097895,0.17274489,0.17171459,0.1666358,0.15811284,0.1479013,0.13815388,0.13059148,0.12621376,0.12532483,0.12739359,0.1316319,0.13734026,0.14401984,0.15080371,0.1565219,0.16073982,0.16439162,0.16902368,0.17498696,0.18088037,0.18493505,0.186348,0.18579836,0.18414462,0.18234806,0.1808439,0.17990321,0.17891085,0.17746294,0.17618722,0.1770389,0.18134756,0.1880788,0.19425493,0.19700243,0.19521625,0.18918955,0.17985092,0.16841327,0.15657163,0.1459865,0.13766581,0.13158269,0.12781797,0.1266443,0.12878728,0.1337136,0.14041232,0.14731394,0.15360987,0.15823357,0.16011125,0.15841042,0.15363786,0.14740793,0.14149062,0.13658856,0.13246202,0.12838513,0.124770544,0.123401545,0.12771896,0.14009033,0.16009021,0.18291898,0.20272791,0.2158088,0.223056,0.22754751,0.23128952,0.2335666,0.23212229,0.22586162,0.21554019,0.20351727,0.1920703,0.18272464,0.17565458,0.169596,0.16235654,0.15207286,0.13876127,0.12480268,0.1135211,0.10741637,0.10660598,0.11027744,0.1182768,0.1328845,0.15566777,0.18461852,0.21230261,0.23144095,0.23943669,0.24064605,0.24106969,0.24442212,0.24999051,0.255298,0.25831094,0.2589192,0.25889766,0.26012847,0.26372024,0.26847848,0.27294317,0.2757498,0.2770929,0.27710688,0.27598402,0.27337787,0.26936504,0.2639185,0.25729197,0.24928392,0.24028862,0.2307356,0.2218797,0.21438248,0.20884953,0.20504226,0.20277911,0.20193903,0.2030049,0.20755912,0.21662535,0.23006292,0.24432097,0.25559136,0.26093438,0.261361,0.25936392,0.2576592,0.25726303,0.25775057,0.25820625,0.2575777,0.25620463,0.25520143,0.2562764,0.25982463,0.26502636,0.27030918,0.27419257,0.27580014,0.27475655,0.27186027,0.26832438,0.26546803,0.26346645,0.261994,0.26049402,0.25887772,0.25715458,0.2555,0.25426555,0.25396624,0.2546388,0.25567374,0.25625134,0.2564546,0.2570181,0.2581488,0.25856876,0.2561762,0.2502661,0.24188687,0.23344219,0.22636592,0.22142589,0.2184941,0.21750943,0.21763621,0.21779557,0.21725023,0.21643955,0.21658163,0.21867032,0.22333641,0.23074877,0.24056454,0.25108337,0.2600145,0.26599097,0.26992056,0.27386954,0.27932394,0.2863546,0.294309,0.3026165,0.31064823,0.31771377,0.32295403,0.32595804,0.32681772,0.32622647,0.32519725,0.32476676,0.3257437,0.32825795,0.33142963,0.3336242,0.33340862,0.33090696,0.32769933,0.32582632,0.3257519,0.32610086,0.3243836,0.31924728,0.31119335,0.30213156,0.29380524,0.28695938,0.28173083,0.27774334,0.27457654,0.27120748,0.2669517,0.26139483,0.25522223,0.2492464,0.24424945,0.24004292,0.23602511,0.2328854,0.2351562,0.25273168,0.29500392,0.36178958,0.43611744,0.4929957,0.5163085,0.51043695,0.49255732,0.47536185,0.4586915,0.4367454,0.40813413,0.37766275,0.3483704,0.32017794,0.29185963,0.2668456,0.2494892,0.2425663,0.24601424,0.2590134,0.27925196,0.2996397,0.31126493,0.3086611,0.2948065,0.27634677,0.25792834,0.2402261,0.22196174,0.2028147,0.18358563,0.16906309,0.16700333,0.18268992,0.21195161,0.24069142,0.2567469,0.2565196,0.2462735,0.23162104,0.21708708,0.20699996,0.20819493,0.22273612,0.2434159,0.25691864,0.25458285,0.23885803,0.2210776,0.21378167,0.22564949,0.2577264,0.3029273,0.3456396,0.37138006,0.37419787,0.36169627,0.3444959,0.32965258,0.3185207,0.3128799,0.31481162,0.32217357,0.32780847,0.32571605,0.3165383,0.30515292,0.29273024,0.27739534,0.25908503,0.2456025,0.24542063,0.25988266,0.27854094,0.28698653,0.27663887,0.25209874,0.22931962,0.22535294,0.24640012,0.28218433,0.31506014,0.33291113,0.3371561,0.33700994,0.34010312,0.34686947,0.35143146,0.34694374,0.3300223,0.30488494,0.28153646,0.27049473,0.27544293,0.2913001,0.3091043,0.32280573,0.3332608,0.344084,0.3572831,0.36877254,0.3721176,0.3611448,0.33491758,0.2966623,0.25357386,0.21340828,0.1824276,0.16281946,0.15271707,0.1479479,0.14480942,0.14134793,0.13756931,0.13410324,0.13158274,0.1296819,0.12780242,0.12533152,0.122406244,0.11944223,0.116957426,0.1153023,0.11448189,0.11413727,0.11360133,0.11298794,0.11329362,0.115629375,0.11967837,0.123804145,0.1269086,0.12934606,0.13224202,0.13513923,0.13618876,0.1333815,0.126608,0.11723566,0.10721054,0.09796998,0.09032708,0.08464011,0.08188955,0.08492198,0.098478645,0.12506253,0.16166018,0.19961847,0.23235047,0.25841263,0.28037056,0.29688886,0.3035308,0.29653144,0.27785492,0.2531645,0.2292069,0.21372016,0.213798,0.2332161,0.26723114,0.3048832,0.33232525,0.33881414,0.31964555,0.2809757,0.23903352,0.2140724,0.21634309,0.24084622,0.27018976,0.2905846,0.29880825,0.30232504,0.3073559,0.31386086,0.31683555,0.31240067,0.30135572,0.28718045,0.27708212,0.2780411,0.29604533,0.3281227,0.36520413,0.39393902,0.40693465,0.4039934,0.39276847,0.3804146,0.36869767,0.35217205,0.32599926,0.29290593,0.26419422,0.25169352,0.25884458,0.27894863,0.29901382,0.30848944,0.3031752,0.28787935,0.27109626,0.259081,0.25016993,0.23733103,0.21564843,0.18779735,0.16234529,0.14721744,0.14588158,0.15823083,0.18347429,0.22042839,0.26572773,0.31162813,0.34712777,0.36156127,0.35051322,0.3195639,0.28354537,0.2595639,0.2563232,0.26862362,0.28076693,0.28072134,0.26852676,0.25519505,0.24945998,0.2518841,0.25715557,0.2625755,0.26872635,0.27529463,0.27869943,0.2753485,0.26602712,0.25545797,0.24927276,0.25208905,0.26538265,0.28712428,0.30966303,0.32613745,0.33357105,0.336238,0.33825693,0.34019223,0.3397341,0.3360478,0.33231214,0.33005837,0.32863018,0.3233006,0.31139603,0.291823,0.26721862,0.24100286,0.21698625,0.19722115,0.18368594,0.17959672,0.19085889,0.2209189,0.26626727,0.3130957,0.34586,0.3547565,0.34241423,0.31692803,0.2874625,0.25760636,0.22898136,0.20134103,0.17847325,0.16691351,0.17470525,0.20254134,0.24062294,0.2713225,0.28123155,0.26942608,0.24763392,0.22910982,0.22076331,0.22129028,0.2278394,0.2382987,0.25001165,0.25779417,0.2551831,0.23962425,0.2137142,0.18646352,0.16756459,0.16318415,0.17093565,0.18390374,0.19636057,0.20825092,0.22224282,0.23969789,0.2586085,0.27557686,0.28703114,0.2913526,0.2899175,0.28803226,0.29048273,0.2973425,0.3030119,0.30356196,0.29975334,0.29596356,0.29065847,0.27844498,0.25352475,0.21943472,0.1841827,0.15629216,0.13772745,0.12708919,0.12168924,0.12031578,0.12201446,0.12587057,0.13061011,0.13538279,0.1399755,0.14599355,0.15631802,0.17315839,0.19526519,0.21830754,0.23894845,0.25784957,0.27828017,0.30096948,0.3215896,0.33351198,0.33235696,0.31926468,0.29958332,0.28158465,0.2728579,0.2779993,0.29503423,0.31635162,0.33166942,0.33367026,0.3202887,0.2957792,0.2680701,0.24683893,0.23820768,0.24295957,0.25589088,0.27110735,0.28372756,0.2907646,0.28929436,0.2801307,0.269215,0.2668995,0.2793012,0.30467585,0.33281526,0.35312223,0.35904035,0.35149696,0.33601233,0.31921437,0.3050855,0.29382086,0.2847657,0.27865544,0.2779634,0.28253376,0.28783253,0.28749564,0.278726,0.26484102,0.25192174,0.24495208,0.24368314,0.2442437,0.2403407,0.22919227,0.21250401,0.19705832,0.18927187,0.19232462,0.20441227,0.22034341,0.23405325,0.24081694,0.23922104,0.23117404,0.22027625,0.20966919,0.2000709,0.19118027,0.18211989,0.173106,0.16400425,0.15518914,0.14728446,0.14134757,0.13766138,0.13527137,0.13355361,0.13312174,0.13527453,0.13990314,0.14481632,0.14812909,0.14942424,0.15043531,0.15251668,0.15693949,0.16404903,0.17303735,0.1808154,0.18343343,0.17975704,0.17229193,0.16512133,0.1595505,0.1541524,0.1469407,0.13761552,0.12749957,0.11813629,0.11133767,0.10807618,0.108416885,0.11080596,0.11437162,0.120106064,0.12981482,0.1432492,0.15745181,0.17064182,0.18451117,0.20154886,0.22049017,0.23651586,0.24847329,0.26055536,0.27860877,0.3012928,0.32205686,0.3346586,0.34010386,0.34400764,0.35153452,0.36242208,0.3707534,0.36880854,0.3517326,0.32256308,0.29118428,0.27070388,0.26883128,0.28456196,0.30796897,0.32718074,0.33354712,0.32603037,0.3099197,0.29298046,0.27928698,0.26730546,0.25348905,0.23961252,0.23325683,0.24253762,0.26684546,0.2975184,0.32278562,0.33620152,0.336936,0.32795694,0.31209686,0.29199755,0.26983446,0.2484542,0.23067707,0.21981741,0.21693206,0.22065526,0.22680205,0.23348594,0.24091737,0.25057048,0.2598113,0.2638701,0.2583135,0.24383791,0.22587521,0.21174204,0.2061636,0.20747769,0.21045761,0.20995606,0.20595439,0.20080294,0.19667058,0.19269814,0.1871805,0.17989475,0.17300127,0.16920964,0.16929527,0.17139697,0.17280614,0.17183526,0.16896127,0.16560821,0.16335708,0.16266526,0.16310073,0.16360001,0.16360815,0.16363023,0.16458933,0.16736229,0.17196982,0.17894898,0.18752141,0.19563596,0.1985125,0.19341946,0.18119437,0.16688609,0.15476696,0.14640005,0.14129339,0.13942121,0.14154749,0.14774056,0.15658855,0.16650282,0.17611252,0.18458186,0.19010039,0.19177651,0.18965326,0.18568344,0.18128026,0.17725138,0.1735719,0.17023492,0.16751856,0.16546813,0.16442002,0.16409634,0.16423148,0.16411722,0.1635357,0.16271518,0.1617821,0.1608919,0.16027343,0.16218454,0.1688629,0.18046762,0.19201525,0.19726884,0.19346349,0.18394923,0.17440747,0.16823407,0.1660225,0.16712654,0.17114268,0.17726259,0.1858089,0.20042455,0.2251746,0.26017174,0.29873458,0.33792505,0.38266635,0.44081172,0.5062402,0.5579284,0.57633895,0.56068677,0.52852184,0.49879476,0.48019007,0.47083065,0.46577835,0.46329284,0.46601346,0.47936574,0.5046943,0.53447086,0.55406076,0.5513815,0.52632076,0.4878256,0.44735286,0.4110699,0.38305545,0.3641907,0.3526977,0.34166798,0.32556447,0.30588785,0.29201975,0.2928298,0.30772102,0.3266594,0.337747,0.3360119,0.3236821,0.3060216,0.28774765,0.2738534,0.27095103,0.2838509,0.31185016,0.3467338,0.3787919,0.40309432,0.4237053,0.4504207,0.4875692,0.52799916,0.55265427,0.5492658,0.5197257,0.48219636,0.45246485,0.4378059,0.4348217,0.43750978,0.43963203,0.4358108,0.4226021,0.3980855,0.36414555,0.32660645,0.29678914,0.2850277,0.29429898,0.3176345,0.34447494,0.36727902,0.38158563,0.3828088,0.36870372,0.34695634,0.33936214,0.3661768,0.42782643,0.4960866,0.53727406,0.5358642,0.5041255,0.46494508,0.43502316,0.41955617,0.41599026,0.41874614,0.42298093,0.42972282,0.44686428,0.4778928,0.51318544,0.53016204,0.5140922,0.46683884,0.40528178,0.34252432,0.28458068,0.23201698,0.18755682,0.15399756,0.13245611,0.12175391,0.11927587,0.121951275,0.12581976,0.12855078,0.12942638,0.12955959,0.12926205,0.1286766,0.12818639,0.12908988,0.13204038,0.13623442,0.1400518,0.1421491,0.1415024,0.13831413,0.13488758,0.13723712,0.14882071,0.16770117,0.18709426,0.20933986,0.24854426,0.3173045,0.40552735,0.4790685,0.50804025,0.48942542,0.447696,0.40659413,0.37356234,0.34090796,0.3018926,0.25951627,0.22443394,0.20849997,0.21493958,0.23674512,0.25817862,0.26779902,0.26495314,0.25998592,0.26198676,0.2745994,0.29882398,0.34152985,0.4054276,0.4809247,0.5403635,0.563103,0.5449372,0.5037357,0.45671812,0.41679993,0.38842496,0.3749183,0.3770825,0.39488137,0.4297347,0.4807153,0.53836817,0.5816559,0.59089476,0.56244564,0.5097288,0.45149174,0.3986796,0.35687685,0.3281201,0.31333545,0.30725908,0.30353698,0.29885578,0.29683128,0.3018584,0.31392562,0.3270066,0.33280122,0.3262789,0.3081456,0.28592756,0.27046862,0.27038106,0.28599378,0.30810222,0.32495484,0.3301938,0.3270861,0.32529712,0.3362273,0.36921155,0.4237927,0.4866437,0.5338552,0.5500503,0.5378949,0.5163014,0.501129,0.4957427,0.49248818,0.48159787,0.45603666,0.41299188,0.35725236,0.30204657,0.26295212,0.24593258,0.24313243,0.24167955,0.23596527,0.22950797,0.22661449,0.22768782,0.23205145,0.24288523,0.26594448,0.30555895,0.36313,0.43275896,0.5007451,0.5456653,0.55458015,0.53049487,0.49319848,0.4615784,0.44426635,0.43857625,0.43866825,0.44151545,0.4486699,0.46505666,0.49423495,0.5305742,0.5597176,0.5644807,0.5408596,0.4964596,0.446553,0.39893302,0.35739493,0.322911,0.30029726,0.29326782,0.3017299,0.31865904,0.3336964,0.33825302,0.3313417,0.3190184,0.31065902,0.31147885,0.32042623,0.3297269,0.3306748,0.3170438,0.2900565,0.25686714,0.22947545,0.21859924,0.23072143,0.26313022,0.3052093,0.3418909,0.36298466,0.36812118,0.36840233,0.37886763,0.41165528,0.46290827,0.51387805,0.5365104,0.5196016,0.47327128,0.42416158,0.3874551,0.36164638,0.33487463,0.30362487,0.27686688,0.26703098,0.27817154,0.30098817,0.3220794,0.33337235,0.3377097,0.3424492,0.35303104,0.36951295,0.39137396,0.42143622,0.46307108,0.51008767,0.5436823,0.5437715,0.50782627,0.45303667,0.40288046,0.36912456,0.351264,0.34349945,0.34228492,0.34775767,0.36442292,0.4003705,0.45790648,0.52553654,0.57814664,0.5951474,0.5737132,0.52859753,0.47691068,0.42868423,0.38735542,0.35366347,0.3265629,0.30249462,0.27960917,0.26051185,0.2517151,0.25585774,0.26913413,0.28225195,0.288135,0.28433958,0.27397838,0.26260665,0.2563938,0.26004088,0.27438447,0.29604247,0.31785813,0.33349076,0.34104598,0.3470873,0.36367705,0.40233135,0.4608014,0.5224255,0.5615351,0.5670127,0.54531425,0.5189569,0.50280344,0.50092036,0.50304693,0.4973038,0.4738028,0.43234083,0.3802788,0.32817364,0.2819303,0.24220465,0.20828302,0.18160315,0.16416848,0.15556924,0.15293844,0.15335274,0.1551423,0.15788601,0.16458106,0.18395478,0.2294199,0.3039812,0.39282212,0.46320438,0.49247476,0.47804174,0.4410797,0.4018825,0.373512,0.35668096,0.3492849,0.34895942,0.35766757,0.38160813,0.424147,0.47668746,0.5173104,0.52529246,0.4971926,0.44646892,0.39012352,0.33484387,0.28124192,0.22994126,0.18622856,0.15505326,0.1404298,0.145954,0.17377038,0.21998358,0.27151635,0.31240293,0.33184078,0.330292,0.31382003,0.28918085,0.26003423,0.23187707,0.21254718,0.2093118,0.22248232,0.24442454,0.26543912,0.27855754,0.28111622,0.27024114,0.24383502,0.20425843,0.16374657,0.13923313,0.1406795,0.16183166,0.18425538,0.19239892,0.18441701,0.17157234,0.16748033,0.1787522,0.20257516,0.22876148,0.24642426,0.24999881,0.24381131,0.23814511,0.2398866,0.24660146,0.25016925,0.24607845,0.23702373,0.22763151,0.21927755,0.21058822,0.20361358,0.20466447,0.22071372,0.2518747,0.290604,0.32415816,0.34353366,0.34693408,0.34051895,0.33109868,0.32170403,0.30976105,0.29150298,0.26636544,0.23890449,0.21577054,0.20099021,0.19345622,0.1890691,0.18466908,0.1796335,0.17480636,0.17073913,0.16864175,0.17023002,0.176544,0.18517421,0.19210444,0.19507049,0.1958376,0.19712768,0.19999015,0.20410533,0.21010143,0.21912913,0.22990984,0.23844431,0.24168868,0.24086691,0.24042107,0.24205686,0.24365704,0.2411262,0.23501436,0.2301944,0.23396786,0.25054,0.278128,0.30803254,0.3274548,0.32795462,0.31074068,0.28719518,0.26926205,0.26329067,0.26861104,0.28205737,0.30064085,0.32041085,0.3378224,0.34974018,0.35578445,0.35457185,0.3445975,0.32505068,0.29941466,0.27418527,0.25557128,0.24816774,0.2531917,0.26916477,0.28834927,0.3013055,0.3004476,0.2871193,0.26791528,0.24996723,0.23530553,0.22211619,0.20795245,0.19253159,0.17810802,0.16829906,0.16558106,0.16951786,0.17621456,0.18151097,0.18370976,0.18468654,0.18760823,0.19513516,0.20875998,0.22805424,0.24989362,0.26886275,0.28215677,0.29173684,0.30356836,0.3197994,0.33762443,0.35050592,0.35491768,0.35035,0.3382044,0.32071683,0.30186093,0.2881275,0.28393623,0.28949127,0.3003179,0.311641,0.31946638,0.31959292,0.3078649,0.28281242,0.24910642,0.21561201,0.19169287,0.18363126,0.19368891,0.21938519,0.2530545,0.2845424,0.3065736,0.3183596,0.3239112,0.32620162,0.32525077,0.31956697,0.31062213,0.30205217,0.29750797,0.29670307,0.29616562,0.29103518,0.27905366,0.26144943,0.24218206,0.22485964,0.21164696,0.20354874,0.20126136,0.20425625,0.21098675,0.21904099,0.22707932,0.23269184,0.23428333,0.23117407,0.22838646,0.23139803,0.24275978,0.25617313,0.26450244,0.26516283,0.26361108,0.26342842,0.26250032,0.25554642,0.24364705,0.23287421,0.22694264,0.22216707,0.21379693,0.20307358,0.19659193,0.19824933,0.2046119,0.20814411,0.20436503,0.19563408,0.18799317,0.18602817,0.18885444,0.19230597,0.1920126,0.18717979,0.17983367,0.1728877,0.16766228,0.16401875,0.16212033,0.16303496,0.16819215,0.17814271,0.19342847,0.21420306,0.23908357,0.26313782,0.28043652,0.28784624,0.28718737,0.28241593,0.27657107,0.2722979,0.27273425,0.28029516,0.29205725,0.3006439,0.29998517,0.29134274,0.2822827,0.27930883,0.28387663,0.2914119,0.29607722,0.2921778,0.27842984,0.25836024,0.2408011,0.23376222,0.23987456,0.25396714,0.26745078,0.27276716,0.26672804,0.25031075,0.22830607,0.20733248,0.19278462,0.1853848,0.1808393,0.17357047,0.16079438,0.14469399,0.13017702,0.12236903,0.12343057,0.13202204,0.143784,0.15400387,0.1603144,0.16278273,0.16270812,0.15996139,0.1546282,0.147759,0.14263576,0.14185177,0.1463269,0.15517594,0.16688657,0.17986314,0.19271813,0.20642473,0.22431576,0.24990511,0.28218678,0.3151387,0.34110883,0.3558825,0.35990557,0.35702708,0.35122183,0.3450471,0.33711544,0.32351908,0.30094135,0.27312502,0.25145337,0.24886227,0.26986763,0.30637726,0.34325704,0.36784574,0.37627223,0.37218133,0.36193538,0.35006127,0.33789146,0.32465938,0.31050572,0.2986563,0.2944605,0.3004332,0.31240842,0.3213775,0.32028866,0.30794695,0.2878783,0.264545,0.24312873,0.22903574,0.22575961,0.23190029,0.24261427,0.25479236,0.2683576,0.28386912,0.29759267,0.30413404,0.29934767,0.28438976,0.2622697,0.23750843,0.21402645,0.19642402,0.18698196,0.18560396,0.1899367,0.1969014,0.2033814,0.20722903,0.21102397,0.2196633,0.23538725,0.2504919,0.25414214,0.24277222,0.22777288,0.22556637,0.2438795,0.27356508,0.29630545,0.29693058,0.2731697,0.23482323,0.1980967,0.17661403,0.17580318,0.19010271,0.20762073,0.21732123,0.21543752,0.20562993,0.19521652,0.19256206,0.20390688,0.23125644,0.26861104,0.3060569,0.33587134,0.35760137,0.37388536,0.38455763,0.38606048,0.37586558,0.3563285,0.33273706,0.31077787,0.2961748,0.29410028,0.30708015,0.32962,0.35069492,0.35838127,0.3490741,0.32763773,0.30585325,0.29499474,0.30209222,0.3257334,0.35766542,0.38570356,0.4005154,0.39901647,0.3855661,0.36769733,0.35244796,0.34322286,0.34016383,0.34108308,0.34364116,0.34623066,0.34838894,0.34944662,0.34878162,0.3459649,0.34183797,0.33748427,0.33357024,0.3301783,0.32743108,0.3263367,0.32786754,0.3325777,0.3392237,0.34583044,0.3503444,0.35230836,0.3524772,0.35194492,0.35103336,0.34907648,0.34548315,0.34039542,0.33495417,0.33025292,0.3264308,0.32311764,0.32016614,0.31889012,0.3203503,0.3247084,0.32980016,0.3334998,0.3344334,0.33337423,0.33156797,0.33030963,0.32993817,0.3302668,0.3303353,0.32913047,0.32600144,0.32179847,0.31815898,0.31708145,0.31921026,0.32466498,0.3326849,0.34289953,0.35387745,0.36396262,0.37058523,0.3726764,0.37030503,0.36605105,0.3624988,0.3623182,0.36587957,0.3726008,0.3802947,0.38718036,0.3918376,0.3942759,0.39511928,0.39472485,0.39235744,0.3866749,0.37784338,0.36824623,0.36186206,0.36381832,0.3810087,0.42164358,0.48421088,0.55070615,0.5881792,0.57572013,0.51914304,0.45070624,0.39993885,0.37860835,0.37919822,0.39005697,0.40389964,0.42038795,0.44523028,0.48366657,0.5326442,0.57437426,0.5880835,0.565955,0.52129185,0.47380805,0.43396106,0.39979088,0.36775482,0.33918917,0.31716025,0.30133075,0.28880274,0.27778694,0.26925004,0.2643539,0.26347962,0.26643324,0.27391028,0.286961,0.30513775,0.32670727,0.34802857,0.3658541,0.3765787,0.37990168,0.3785057,0.3776708,0.38233125,0.39623746,0.42431536,0.4663318,0.51312023,0.54267365,0.53832936,0.5005207,0.4508487,0.41299382,0.39907193,0.40664104,0.42417434,0.43794107,0.43446556,0.4106792,0.3749347,0.34370753,0.32701936,0.32464206,0.3300875,0.3387126,0.34896043,0.35859165,0.3639195,0.36234188,0.35473666,0.34607002,0.34441185,0.3632721,0.41270295,0.49032474,0.57017595,0.6202781,0.62211174,0.5882121,0.54609865,0.51899403,0.5109609,0.5140751,0.5188808,0.52276236,0.52922815,0.54396147,0.56627417,0.5871785,0.5934269,0.58020276,0.5527961,0.5191661,0.4797493,0.4304699,0.3724319,0.3148165,0.2678477,0.2355067,0.21656217,0.20956482,0.21387881,0.22958072,0.25855374,0.30802357,0.38219115,0.47084913,0.5439303,0.57218623,0.54923266,0.49868283,0.4528669,0.43233702,0.438666,0.46194696,0.48854756,0.50836354,0.52048486,0.5331288,0.55160314,0.57006675,0.5741916,0.55883056,0.53181654,0.5087602,0.49744073,0.49720725,0.49992976,0.4964451,0.4793276,0.44877604,0.41523203,0.3907605,0.37999308,0.37373272,0.36211768,0.342194,0.322157,0.30952477,0.3069537,0.3118722,0.32159784,0.33434522,0.34962472,0.3708506,0.4052966,0.4559232,0.51189727,0.54949814,0.55118686,0.5191346,0.4750136,0.43950245,0.42113975,0.41511226,0.41432425,0.4161333,0.4248164,0.4494988,0.49431586,0.5504932,0.5945323,0.606392,0.58389765,0.5445215,0.5055476,0.47213018,0.4395516,0.40594974,0.37573934,0.35360515,0.33928302,0.32830665,0.31708458,0.30481485,0.2935896,0.28629622,0.28498545,0.28922936,0.297032,0.3069938,0.31992686,0.33615232,0.35365555,0.3680378,0.37774095,0.38402477,0.3903304,0.39920855,0.41545272,0.44491282,0.4877615,0.5311783,0.5528398,0.53934777,0.49713135,0.44967,0.41767427,0.4094807,0.41989875,0.43808827,0.45138183,0.45023003,0.43326852,0.40774307,0.38340572,0.36488786,0.35124514,0.3415066,0.33692715,0.33915362,0.34507942,0.3489605,0.34618148,0.3377684,0.3302076,0.3340932,0.3623308,0.4210874,0.5008976,0.57294947,0.6077252,0.59504706,0.5523475,0.50676405,0.47599092,0.4613376,0.45682144,0.457913,0.46505794,0.48073995,0.50620264,0.5343831,0.5523577,0.54691213,0.5196479,0.48135197,0.4444373,0.40786245,0.36715934,0.32079604,0.27645674,0.24110855,0.21710317,0.20320044,0.19835772,0.20327926,0.2192539,0.2518225,0.30876336,0.39083442,0.48032156,0.5451235,0.5633951,0.5395829,0.50138074,0.4724699,0.46215335,0.4653963,0.47633258,0.48919153,0.4997226,0.5056117,0.5079108,0.50962734,0.5134871,0.5220929,0.53886586,0.560926,0.58090043,0.5863847,0.57626855,0.5529523,0.52244586,0.48182175,0.43288645,0.3835602,0.34750223,0.3299751,0.32590508,0.32819155,0.33607343,0.3537865,0.38157964,0.41217268,0.43440267,0.43915895,0.42275092,0.3865056,0.33709618,0.28406826,0.23693597,0.1999656,0.17187333,0.14887215,0.12945811,0.114639126,0.105024554,0.099104635,0.09514616,0.09273296,0.09178945,0.09063054,0.08794662,0.08453965,0.0828696,0.08289918,0.0821034,0.07833723,0.07274386,0.06772596,0.064092524,0.061275583,0.05945304,0.059829727,0.062170714,0.06427628,0.06440597,0.06344291,0.06351008,0.065016486,0.06652587,0.06683156,0.06621087,0.065100364,0.06315193,0.0601698,0.057052422,0.055058826,0.05412576,0.053467676,0.053058356,0.054897066,0.061689068,0.07629489,0.0997903,0.13173121,0.16737013,0.20014735,0.22170986,0.22864896,0.22242643,0.21123521,0.20251332,0.20022154,0.2021237,0.20480019,0.20683749,0.20964809,0.21385236,0.21518533,0.2073449,0.18835121,0.16736002,0.15719888,0.16404007,0.17960155,0.1922567,0.19699337,0.2013791,0.21711473,0.25665334,0.3276633,0.4276599,0.5347563,0.61426395,0.63869643,0.6094592,0.5519559,0.49669635,0.45764205,0.43431893,0.41967472,0.41173434,0.41316462,0.42973444,0.46346536,0.5081827,0.5487265,0.5688186,0.5617816,0.53187096,0.48850417,0.4369177,0.3806769,0.3241625,0.27512372,0.23871495,0.2157494,0.20396471,0.20154862,0.20696066,0.21636154,0.22496466,0.23017961,0.23361431,0.23678164,0.23807645,0.23447728,0.22596236,0.21581273,0.20589285,0.19431554,0.17762852,0.15596725,0.13711767,0.13684471,0.17495142,0.25993034,0.3768096,0.48590556,0.54867506,0.5516906,0.5146074,0.46944192,0.43915677,0.4290729,0.4322822,0.43835953,0.4382089,0.42941508,0.41661096,0.40818205,0.40798044,0.41215494,0.4116241,0.3993506,0.37430465,0.34252015,0.3131366,0.2950414,0.29147902,0.30091155,0.3198129,0.351861,0.40441826,0.47943696,0.5590343,0.6140918,0.62358576,0.5922384,0.54366845,0.50038075,0.47100964,0.45162216,0.43749452,0.4292468,0.4340931,0.4593196,0.5015842,0.5436859,0.560647,0.54295915,0.5008477,0.4579904,0.42490232,0.39970216,0.37553748,0.35779104,0.3558638,0.37303686,0.3977405,0.41326055,0.40817216,0.3834416,0.34783602,0.3133308,0.2896094,0.2830068,0.2928181,0.31233943,0.33112624,0.34205696,0.34319708,0.33708075,0.32515386,0.306901,0.28166232,0.25487494,0.23836865,0.24592559,0.28284565,0.34318027,0.41331613,0.4830798,0.5464921,0.59866554,0.62892115,0.62933034,0.60180384,0.56251174,0.5282366,0.507731,0.49676847,0.4873146,0.47254756,0.45126632,0.42478606,0.39433083,0.3593974,0.3207194,0.28407347,0.25964695,0.25456604,0.2689669,0.29774892,0.34080648,0.4015847,0.47869667,0.55440396,0.60170466,0.6030327,0.56438136,0.5094284,0.4619635,0.4328945,0.4220982,0.423232,0.43050107,0.43985382,0.45394734,0.47818768,0.51369745,0.5489256,0.5665336,0.5551799,0.5174875,0.46271464,0.4000424,0.3365855,0.28049287,0.2394781,0.21620083,0.20756096,0.2054217,0.20070696,0.18581845,0.16004159,0.13065965,0.10827025,0.0993456,0.10253104,0.113483965,0.12866504,0.14625014,0.16325267,0.17763169,0.19219796,0.21308488,0.24291639,0.2767197,0.31047365,0.3487837,0.4006833,0.46318007,0.5162625,0.5364309,0.5178092,0.47459507,0.43008685,0.39979836,0.39009097,0.39633882,0.4093738,0.4168845,0.41419157,0.40382418,0.3925717,0.38144124,0.36701286,0.34596005,0.32144585,0.30057514,0.2896438,0.28801227,0.2883755,0.28115025,0.26446238,0.25065205,0.2649775,0.327525,0.43373695,0.54678047,0.62090343,0.63174087,0.5918645,0.5346398,0.48789027,0.46074137,0.4473852,0.44042698,0.4382157,0.44714704,0.47498313,0.5189587,0.5605003,0.5730173,0.54498523,0.4872774,0.42438138,0.37071565,0.32721284,0.28770468,0.25014362,0.21565749,0.18790747,0.17432429,0.18339646,0.21767557,0.26654574,0.31320062,0.3443716,0.35676876,0.3536649,0.3409256,0.3264166,0.31649253,0.3118424,0.304921,0.28860056,0.26630175,0.25223947,0.2612537,0.2949678,0.34299734,0.38943458,0.4256525,0.45148423,0.47401047,0.49985942,0.5284545,0.5506768,0.552967,0.53168833,0.4944478,0.45686698,0.42556092,0.40012014,0.37717164,0.36158928,0.36026,0.37489927,0.39671096,0.41147634,0.40920898,0.38932213,0.3613255,0.3370713,0.3242334,0.3228446,0.33093372,0.35154748,0.3912367,0.44831076,0.50290114,0.525778,0.5006189,0.43826365,0.36840665,0.31763974,0.29605126,0.29852816,0.3139161,0.33352515,0.3547999,0.38381234,0.42558527,0.47667226,0.5179448,0.5318749,0.514453,0.48337147,0.45814887,0.44794905,0.44486025,0.4376223,0.41964844,0.3928703,0.36273265,0.33437136,0.3117542,0.296859,0.290625,0.29136312,0.29616153,0.30154657,0.30574468,0.3100992,0.31714976,0.3288965,0.34355804,0.3587514,0.37316537,0.3884826,0.40594062,0.42590544,0.44956207,0.48054028,0.518491,0.5518845,0.5607402,0.5334204,0.48064733,0.42898187,0.40180513,0.40276313,0.4213473,0.4412538,0.45128372,0.44476524,0.42450538,0.40048873,0.38622686,0.3883107,0.40327024,0.42097628,0.43261614,0.4354407,0.43214297,0.4272721,0.423265,0.42021927,0.41898075,0.42501464,0.4470855,0.4883852,0.5384485,0.574922,0.57860476,0.54715604,0.4955677,0.44403172,0.40503022,0.38117313,0.3682488,0.36220077,0.3627794,0.37658694,0.4119272,0.4672645,0.5248049,0.55792564,0.5529242,0.5169276,0.47132036,0.43156692,0.40274397,0.38226357,0.36838138,0.36003885,0.35692927,0.35861742,0.3648704,0.3735629,0.38001886,0.3789239,0.36816385,0.35100004,0.33452034,0.3264238,0.33142936,0.34902743,0.3733509,0.395618,0.40921018,0.41259766,0.40898225,0.40296724,0.39820683,0.39747235,0.40242848,0.4139897,0.4328364,0.46082124,0.49991775,0.54580575,0.5865097,0.6059944,0.5984369,0.57040256,0.53743905,0.50995946,0.49105266,0.4776307,0.46763754,0.46079853,0.45781097,0.45728287,0.45637086,0.45230737,0.44523045,0.43717995,0.43131173,0.4296339,0.433983,0.4471706,0.4745973,0.5196859,0.5761963,0.6236822,0.6399212,0.61803347,0.5756264,0.5375188,0.51677424,0.5055629,0.4898299,0.4624749,0.43103552,0.411204,0.41824675,0.45381045,0.50204104,0.5364534,0.541497,0.52189237,0.4967399,0.47801003,0.46498036,0.45000505,0.43147373,0.41347468,0.40062535,0.39378968,0.39159605,0.39330783,0.39808294,0.40477893,0.41162944,0.41869068,0.42678508,0.43612078,0.44430766,0.44839856,0.44707322,0.4419662,0.4358429,0.4307797,0.4274108,0.42603722,0.42912707,0.44142857,0.4676198,0.5035992,0.5345943,0.54034233,0.51262003,0.46161747,0.4106765,0.3789896,0.3737276,0.39106193,0.4212774,0.45195946,0.47026432,0.47004545,0.45425224,0.43397704,0.41846278,0.41147432,0.40999976,0.41029355,0.4098954,0.40872657,0.40780306,0.40839103,0.4125353,0.42270878,0.44309354,0.47636572,0.51854354,0.5540908,0.562151,0.53181154,0.47264063,0.40882528,0.36155057,0.337927,0.333524,0.34119245,0.35672653,0.37882754,0.40921238,0.44756505,0.48789802,0.5159076,0.52069396,0.5031149,0.47589502,0.44935623,0.42448473,0.39749968,0.3688767,0.34422478,0.32838246,0.32176468,0.32155013,0.32379827,0.32668185,0.33290282,0.3520634,0.39157692,0.44614264,0.49230137,0.5054978,0.47916535,0.4316183,0.38891888,0.3662603,0.36267462,0.3692446,0.378117,0.38608542,0.3957475,0.41477358,0.44891933,0.49385238,0.5329852,0.5492831,0.53823143,0.51057875,0.4832953,0.46794054,0.468102,0.47851646,0.49086097,0.49710736,0.49927536,0.5059037,0.52353305,0.54311323,0.54623276,0.5211029,0.47603086,0.43221167,0.4066411,0.40183663,0.4093895,0.41922805,0.4262084,0.43221328,0.44618073,0.4756578,0.5173576,0.5520272,0.5595086,0.5346647,0.49345732,0.4564182,0.4340036,0.4221622,0.4121102,0.39827672,0.38320747,0.37676072,0.391535,0.43006715,0.47827223,0.5107255,0.5133585,0.4921128,0.46628985,0.44618475,0.43012333,0.41205272,0.39366814,0.38096747,0.3771186,0.37926397,0.38211712,0.38301077,0.3822408,0.38263044,0.3863471,0.39410612,0.4033694,0.4111804,0.41559997,0.41802207,0.419602,0.4207069,0.41954768,0.41685662,0.41426337,0.41592014,0.42426574,0.4437951,0.4744774,0.5106415,0.535142,0.5328174,0.49972036,0.4506016,0.40591323,0.3810543,0.3803124,0.39954415,0.4286348,0.45296624,0.4606506,0.44942722,0.4280046,0.40807995,0.39505538,0.38841668,0.3844421,0.38217106,0.38026413,0.37880552,0.37755582,0.378518,0.38292134,0.39202917,0.4089099,0.43823448,0.47863927,0.51533365,0.52673835,0.5029867,0.4562706,0.41127154,0.38500822,0.37911728,0.38552475,0.3966519,0.40964043,0.42659268,0.45355102,0.49178544,0.5327516,0.55783325,0.5562356,0.5327873,0.50544184,0.4869697,0.47972214,0.479457,0.4841579,0.49343908,0.5057358,0.51728433,0.524976,0.5280466,0.5285769,0.5315861,0.5437704,0.56785923,0.5964773,0.61311436,0.60509604,0.57515055,0.5403113,0.51677513,0.5089981,0.51160777,0.51749367,0.52282125,0.5250024,0.5237818,0.52060825,0.51866627,0.51969534,0.52457,0.5343304,0.5471494,0.5545204,0.54482895,0.51496786,0.47757843,0.45016265,0.4410597,0.44323155,0.44721198,0.44857702,0.44928646,0.4495984,0.44919005,0.44894752,0.45200646,0.45909345,0.46739817,0.4741288,0.4801941,0.4882147,0.4995419,0.51245254,0.5274589,0.54351354,0.55659366,0.5544978,0.52966684,0.48623347,0.44168678,0.41152468,0.39966378,0.39947093,0.403146,0.40794197,0.41672707,0.4359858,0.47086516,0.5165197,0.5555183,0.566995,0.54559517,0.50497,0.46678722,0.44035396,0.42269313,0.40600637,0.38955054,0.37553355,0.36625776,0.3605688,0.35795557,0.3577063,0.35898015,0.35921466,0.3569748,0.35263005,0.34847942,0.347028,0.3507098,0.36098817,0.3767291,0.39374676,0.40693936,0.41421226,0.41667783,0.41829583,0.42392138,0.44105837,0.4730885,0.5140989,0.5441857,0.5446689,0.51085657,0.45877886,0.41066125,0.3823483,0.37751698,0.39042208,0.40989938,0.42221925,0.41902527,0.4018226,0.3808814,0.36656484,0.36248323,0.36614725,0.37264898,0.37845874,0.38134518,0.3805692,0.3775057,0.37506115,0.37726894,0.3876762,0.41098157,0.44829217,0.49301767,0.52732253,0.53439,0.5107067,0.47085413,0.43427685,0.4122522,0.40426913,0.4046676,0.40859973,0.41492414,0.42671967,0.4510992,0.49015546,0.53429484,0.56131905,0.5563087,0.52237874,0.48046836,0.44663462,0.42409346,0.4056007,0.38756678,0.37184647,0.3621209,0.35994664,0.364843,0.37603924,0.3928453,0.41645983,0.4508994,0.49576816,0.5409444,0.5652537,0.5554375,0.5152598,0.46612862,0.4267811,0.40489152,0.39661717,0.39627358,0.39995506,0.40725932,0.42182449,0.4491183,0.48892474,0.52860874,0.5480614,0.5352394,0.49666956,0.45282277,0.4228619,0.41579214,0.42988026,0.45709,0.48701167,0.5119812,0.5322233,0.5512128,0.56850237,0.5747774,0.5626387,0.535314,0.5062775,0.48751608,0.48159358,0.4843168,0.4896382,0.49401417,0.49669263,0.5019285,0.51604086,0.5389207,0.5573831,0.5503209,0.5079049,0.44141987,0.37714246,0.33420515,0.31547335,0.31166068,0.31446895,0.32128248,0.33453658,0.36022675,0.40220663,0.4552276,0.49958456,0.51503855,0.4970546,0.46237692,0.4311299,0.41017225,0.39372313,0.37610516,0.36006275,0.35036042,0.34850582,0.35107043,0.35471722,0.35711563,0.3569609,0.35433185,0.3510588,0.35038868,0.35356638,0.35983455,0.36729142,0.3754066,0.3836197,0.39073232,0.39508808,0.3971089,0.39835384,0.40149525,0.4100139,0.43068328,0.46612778,0.508009,0.5346101,0.52844864,0.4905915,0.44218084,0.406363,0.39384136,0.40153578,0.41940594,0.43725348,0.44627154,0.4432675,0.4309934,0.41716158,0.4078623,0.40594038,0.4105279,0.4197651,0.43034077,0.43885532,0.44317713,0.44426313,0.44508216,0.44902602,0.45939815,0.48003635,0.51066875,0.5423457,0.55748814,0.5434808,0.503265,0.454392,0.41451207,0.3908089,0.38077867,0.37844566,0.3797054,0.38441113,0.39831874,0.42938945,0.47707772,0.52519536,0.54870003,0.53613114,0.49867156,0.46143878,0.43854097,0.42855525,0.42177784,0.41446033,0.40710878,0.40079308,0.3951963,0.39096043,0.390401,0.3966912,0.4145836,0.44843993,0.4940765,0.53514266,0.55024785,0.5329507,0.4962188,0.4613569,0.43835568,0.42484704,0.41642252,0.41357127,0.417994,0.42694998,0.43690267,0.44791687,0.46341726,0.4849763,0.5098341,0.5346816,0.5560126,0.5708005,0.5733552,0.56085414,0.53418934,0.49818385,0.45591673,0.40857503,0.3581315,0.30791155,0.26139662,0.22002451,0.18754959,0.16973428,0.17077808,0.18595786,0.20356548,0.2139496,0.21697354,0.22164923,0.2393169,0.2790783,0.34337533,0.42263785,0.49478564,0.53405696,0.5300788,0.49376357,0.4497281,0.41647318,0.39971375,0.3947123,0.3949753,0.39714244,0.40347278,0.42270014,0.46036696,0.5110891,0.5536356,0.5686579,0.550602,0.5132354,0.47332895,0.4409746,0.4167079,0.39809132,0.38302457,0.37019148,0.3595158,0.35249424,0.3504516,0.35215792,0.35338846,0.3517262,0.34819475,0.34630564,0.3460989,0.34510922,0.34128335,0.3364519,0.33338928,0.33228067,0.3315245,0.3299785,0.3295128,0.33447966,0.35228172,0.39021826,0.44630742,0.5035874,0.53506935,0.52464324,0.47822526,0.4205959,0.37559876,0.3552753,0.3580116,0.37402388,0.39024678,0.39549002,0.38767758,0.37368932,0.36398232,0.36289275,0.3677329,0.3728508,0.37512958,0.37479547,0.37351277,0.37337926,0.37629962,0.383422,0.3956913,0.41491207,0.44560245,0.48806682,0.5333113,0.56121826,0.5558468,0.5170339,0.4624877,0.41326174,0.381098,0.36607757,0.3619791,0.36385262,0.3718092,0.39195812,0.43012324,0.48049244,0.5241916,0.54005903,0.5257231,0.49633732,0.4721223,0.45761243,0.4477242,0.43659118,0.42817268,0.42719328,0.4339267,0.44240856,0.44746235,0.4485506,0.44956824,0.4569385,0.47559008,0.5032351,0.52671546,0.5277736,0.49897692,0.45113167,0.4067863,0.3813831,0.376184,0.38173518,0.38863245,0.3928249,0.3974221,0.41145146,0.44165576,0.48464203,0.5230103,0.53872293,0.525228,0.493657,0.4615221,0.44315752,0.44322696,0.45837417,0.47927466,0.49653158,0.5074784,0.51826525,0.5347354,0.55202025,0.5539363,0.52926034,0.48275456,0.4338007,0.39887545,0.3829578,0.3804687,0.38432482,0.39147875,0.40439868,0.43064418,0.4741231,0.5267778,0.5657219,0.5701332,0.5386062,0.492386,0.45558134,0.43710566,0.4295213,0.42308903,0.41494834,0.40889308,0.4109402,0.42856598,0.46478352,0.51254314,0.5519596,0.5651489,0.547872,0.5129147,0.4762008,0.44753715,0.4277481,0.41372514,0.40160915,0.389627,0.37819576,0.3691635,0.36289427,0.35856375,0.3552353,0.35378814,0.35505083,0.35927403,0.36487207,0.37054253,0.37360513,0.37183353,0.3632306,0.35079,0.34039363,0.33851957,0.34620807,0.36231697,0.38697708,0.4236509,0.46877527,0.507458,0.5183684,0.4940046,0.4457874,0.39687312,0.36268184,0.34848762,0.35258937,0.37211668,0.39988843,0.42503342,0.4385616,0.43819356,0.42746365,0.41033563,0.3905339,0.37213644,0.3601663,0.35699233,0.36111793,0.36787185,0.3731588,0.37541136,0.37817407,0.3893846,0.41745993,0.4593295,0.4966496,0.502985,0.46845886,0.40729046,0.34982446,0.31545898,0.30559835,0.30859646,0.31489718,0.32150757,0.3319316,0.35393015,0.3923477,0.4414594,0.4829208,0.49953946,0.49051917,0.46996912,0.45217982,0.4375352,0.42015585,0.39645484,0.37150338,0.35072282,0.33802214,0.33422303,0.33960795,0.35338292,0.37566674,0.40910587,0.45503178,0.5055128,0.5419798,0.54720783,0.52174294,0.4829837,0.45050988,0.429803,0.41747573,0.4103913,0.41094398,0.41882506,0.42853597,0.43437764,0.4355497,0.43680713,0.44225368,0.45534322,0.47513083,0.4947391,0.50190854,0.4881434,0.46068832,0.43634066,0.42917928,0.4355385,0.44392613,0.44471255,0.43824133,0.4281211,0.41765535,0.4105767,0.40975758,0.41623497,0.42502508,0.4319782,0.43558156,0.4389056,0.44456196,0.4544992,0.47181976,0.49663153,0.522011,0.5297833,0.50514245,0.44756588,0.37653145,0.31593958,0.28030753,0.26878127,0.27100933,0.276827,0.2832984,0.29894117,0.33709085,0.40046716,0.47082034,0.5169559,0.5213987,0.4926623,0.45654288,0.42996636,0.41299346,0.39541295,0.3712434,0.3415002,0.31200838,0.28898308,0.2767144,0.274864,0.27861157,0.282078,0.28253186,0.28102207,0.28010485,0.28195706,0.28832352,0.2991223,0.3114655,0.3200049,0.32324922,0.32612127,0.33728334,0.3602495,0.39116967,0.4247967,0.45891127,0.49074388,0.5085649,0.49712968,0.4519988,0.38894066,0.33437312,0.3075801,0.31277797,0.34088492,0.37709966,0.40449527,0.41291746,0.40386474,0.3912195,0.38927957,0.40339637,0.42705584,0.44957384,0.46376023,0.46893093,0.46828845,0.4646163,0.45863807,0.45065162,0.44355965,0.44499254,0.4626056,0.49596643,0.5302341,0.5439544,0.52615696,0.48586348,0.44512358,0.4199544,0.41308355,0.4169692,0.42471054,0.43397453,0.4483256,0.47415757,0.5129476,0.5537961,0.5762942,0.5670402,0.5332861,0.4959031,0.47107646,0.45788792,0.44775486,0.4350765,0.42268136,0.41452602,0.41269872,0.4157417,0.42123425,0.42746028,0.4367783,0.4568369,0.4926904,0.53686833,0.565558,0.55665606,0.5081828,0.4446073,0.39553562,0.3761374,0.38010216,0.39296556,0.4036368,0.41132113,0.42244676,0.44656363,0.48387957,0.5224263,0.54020405,0.5264221,0.48728028,0.4442093,0.41456196,0.40535465,0.41397035,0.4327179,0.4527856,0.46415678,0.46395043,0.45466635,0.44424915,0.4361817,0.43120834,0.42761645,0.42546773,0.42457804,0.42431888,0.42493522,0.42818916,0.43537274,0.44555297,0.45857373,0.47991237,0.51385826,0.5524769,0.5689296,0.53681546,0.45094943,0.335878,0.22631232,0.14716817,0.10551333,0.09492853,0.10397757,0.12314439,0.15640245,0.2173667,0.31201243,0.41834354,0.49470985,0.5141348,0.48254403,0.42908168,0.3709924,0.31030032,0.2422783,0.17482601,0.12045103,0.088852264,0.0809663,0.09108007,0.109478794,0.12329901,0.12567042,0.11848047,0.11149177,0.11149759,0.118510835,0.12918268,0.13961309,0.1473198,0.1473921,0.13937332,0.1274407,0.11955435,0.12041116,0.13446511,0.17545842,0.2577962,0.3776559,0.49286708,0.54882115,0.51526946,0.4127616,0.29155627,0.19889541,0.15966003,0.17315173,0.22026646,0.26585892,0.27981138,0.25064352,0.19478713,0.13785301,0.09975517,0.08569706,0.091015995,0.10600341,0.11968892,0.1254897,0.12390598,0.12045795,0.12142795,0.13429262,0.17378743,0.25260213,0.3649404,0.4722855,0.5254135,0.49793682,0.40707603,0.29677382,0.2068552,0.15602309,0.14221114,0.15346092,0.17660408,0.20825619,0.25928798,0.34125742,0.44634414,0.5378584,0.5782011,0.55688137,0.49873695,0.4341673,0.37672672,0.32255986,0.26807672,0.21817435,0.18097158,0.1610623,0.15745531,0.16535006,0.18032157,0.20409314,0.24978518,0.3285934,0.43365994,0.5284818,0.57301474,0.5500519,0.4810497,0.40230787,0.34146476,0.30516624,0.2876631,0.28251898,0.2883503,0.31260386,0.36402306,0.44207942,0.5233912,0.570877,0.5574325,0.48874167,0.39896536,0.32661626,0.29302838,0.29716635,0.3228964,0.34954587,0.36235893,0.36132374,0.3555192,0.3525987,0.34886804,0.34027895,0.3306539,0.3299514,0.34068093,0.35389623,0.36285648,0.36771822,0.3735293,0.37438336,0.3614293,0.3303263,0.2910119,0.25551555,0.22956415,0.21035402,0.19421591,0.18051834,0.16957611,0.16065943,0.1538167,0.15081151,0.15295796,0.1567607,0.15719384,0.15243381,0.14667577,0.14475256,0.14744951,0.15195161,0.15524115,0.15648754,0.15511699,0.1516866,0.14815907,0.14812271,0.1527729,0.15951546,0.16456513,0.16627304,0.16564234,0.16299468,0.15827404,0.15194558,0.14611383,0.14173287,0.13823311,0.13599648,0.13799332,0.14697576,0.16047497,0.17208119,0.17664023,0.17431901,0.16794176,0.15972315,0.15134387,0.14530292,0.14397149,0.14660357,0.1505823,0.15435816,0.15850389,0.16300957,0.16570288,0.16548343,0.16409121,0.16459167,0.16682017,0.16827136,0.16803028,0.16836719,0.17138977,0.1753913,0.17693986,0.17426412,0.16877174,0.1621062,0.15523475,0.1484377,0.14221048,0.13907914,0.14673148,0.18183129,0.25692952,0.36479607,0.46631658,0.51628834,0.49264133,0.41462675,0.32361054,0.25952885,0.24906118,0.2983751,0.39040688,0.4801711,0.52303535,0.499607,0.4306583,0.3533363,0.299639,0.2883754,0.32559478,0.40102792,0.48014924,0.5228482,0.5092738,0.45527697,0.3938526,0.35151997,0.34185067,0.36986467,0.43132654,0.5023443,0.54766697,0.54414004,0.49974248,0.44387183,0.40366545,0.39324963,0.4146758,0.46071687,0.5085706,0.52929276,0.5066659,0.45195246,0.3933076,0.35439888,0.34782067,0.37555,0.43171248,0.4934667,0.53146654,0.5292082,0.5001446,0.4745269,0.47234234,0.49003983,0.50895566,0.5147402,0.5042748,0.48476923,0.4663919,0.45471737,0.44636106,0.4305024,0.4043584,0.3782861,0.3721938,0.3941555,0.43597305,0.47840145,0.5060459,0.5103856,0.48786187,0.44020483,0.37632895,0.3116885,0.25972202,0.22566502,0.20604157,0.19398344,0.18406172,0.17420334,0.1648079,0.1573871,0.15246123,0.15007527,0.14946662,0.15100278,0.1543703,0.15882951,0.16142815,0.16011143,0.15494429,0.1497484,0.14857234,0.15269311,0.15915315,0.16339944,0.16289741,0.1586472,0.15400715,0.15173447,0.15235692,0.15414357,0.15498324,0.15362895,0.15069133,0.14775251,0.14693862,0.1490444,0.1535786,0.15846121,0.16206867,0.16373116,0.16436891,0.16488905,0.16526295,0.1641162,0.1606245,0.15631701,0.15479223,0.15869461,0.16678743,0.1745413,0.17752929,0.17456476,0.16776747,0.16042002,0.1552249,0.15334064,0.15461452,0.1574452,0.16033615,0.16284995,0.16604471,0.1704003,0.17474903,0.17713033,0.17692733,0.17559046,0.1749358,0.1757382,0.17699718,0.17707126,0.17753847,0.18730138,0.22445537,0.30200282,0.41338763,0.5243749,0.5972676,0.614841,0.5921808,0.55612963,0.5255174,0.5033007,0.48478234,0.4660562,0.4491198,0.44394866,0.46297178,0.5064979,0.5535546,0.5723461,0.54872257,0.495424,0.4381591,0.38637498,0.33371273,0.27153414,0.20568703,0.14890064,0.11111004,0.0940583,0.093416125,0.101745486,0.11012051,0.11537665,0.12123895,0.13339691,0.14964773,0.16029353,0.15944032,0.15012664,0.1409599,0.1343146,0.1288627,0.12315487,0.11928756,0.11923885,0.12718461,0.15725522,0.22547664,0.33455873,0.45602965,0.54943377,0.5863762,0.57065576,0.5257322,0.47762752,0.4439064,0.42848566,0.42297867,0.40857744,0.37537575,0.334654,0.3167263,0.34422788,0.4095255,0.47761276,0.51032573,0.4913167,0.42934802,0.34769237,0.26915902,0.20737624,0.16718982,0.15079574,0.16838859,0.23214047,0.34216812,0.47015986,0.5738169,0.6230908,0.6206051,0.5910042,0.55845636,0.53380865,0.5167783,0.50487816,0.4974078,0.49793634,0.5139683,0.5480375,0.58948153,0.61261225,0.5984194,0.54875493,0.4850893,0.4238089,0.36521277,0.3022177,0.235116,0.17417188,0.12838964,0.10235255,0.0950807,0.103237696,0.12101405,0.14803614,0.19642143,0.2807269,0.39803553,0.5136955,0.58404595,0.5852387,0.5307798,0.45242178,0.37757513,0.31724015,0.27031666,0.23322175,0.20577168,0.19890761,0.228917,0.30370447,0.40454426,0.49232063,0.5330691,0.52243483,0.48346698,0.44572687,0.4267157,0.42793718,0.4374554,0.438988,0.42348373,0.4043466,0.40793195,0.45110035,0.5148435,0.55871934,0.54977196,0.4889419,0.40108052,0.3136724,0.24278669,0.19240929,0.16124459,0.14706735,0.15571849,0.20107925,0.29144892,0.4097171,0.51259,0.5596134,0.54302627,0.49050573,0.43877682,0.40857983,0.4006877,0.405692,0.41534558,0.42744806,0.44787154,0.48296157,0.52819115,0.56324714,0.5660496,0.53313595,0.48120677,0.43034616,0.38424492,0.33686605,0.28517666,0.238569,0.20750968,0.19583587,0.1989358,0.20997362,0.22319728,0.23446588,0.24249722,0.2481174,0.25244972,0.25381592,0.2496758,0.24160542,0.23689766,0.24523862,0.27073482,0.31017506,0.35354075,0.39067495,0.4167963,0.43770447,0.46844777,0.5187134,0.58110183,0.62693006,0.63101715,0.5889988,0.5244835,0.4664105,0.4326872,0.42417905,0.4308283,0.43990767,0.43858078,0.4232334,0.39914706,0.3799155,0.37428245,0.382596,0.39639863,0.40658447,0.40777683,0.4003054,0.38865122,0.3780047,0.37171352,0.371814,0.38285503,0.4142461,0.47110227,0.5441609,0.60548943,0.62840533,0.60624534,0.5593469,0.51542395,0.4907305,0.48405305,0.48652184,0.49175915,0.49984336,0.5156395,0.5440721,0.58182174,0.6143369,0.62265784,0.6000673,0.5565515,0.5089446,0.46388456,0.41904733,0.37316385,0.3344178,0.31221333,0.30885342,0.31763086,0.32933554,0.33724856,0.3407937,0.3475883,0.37244058,0.4230013,0.4870757,0.53061265,0.5251871,0.4694456,0.3931388,0.33012077,0.29828268,0.29478458,0.3065765,0.32150123,0.33488825,0.35595992,0.39872888,0.46644393,0.5362775,0.5742951,0.56227815,0.51469046,0.4637191,0.43442127,0.43265656,0.44978,0.47128057,0.48260263,0.47644046,0.45887473,0.44459853,0.44345078,0.45236078,0.4636983,0.47798732,0.5017817,0.5360412,0.5688443,0.58945984,0.5979445,0.60440016,0.61317486,0.6217002,0.6275211,0.6322667,0.63310736,0.61669517,0.57074124,0.49796137,0.4180152,0.35232762,0.3118223,0.29523572,0.29465342,0.3034877,0.3207586,0.35544702,0.41428992,0.49114606,0.55795956,0.58698124,0.56992835,0.5261534,0.4794414,0.43890512,0.39879492,0.35371587,0.30930373,0.27551106,0.25878087,0.25762692,0.26725924,0.28237072,0.29835272,0.31173882,0.3198109,0.32226887,0.32011104,0.31715912,0.31812206,0.3262718,0.34052905,0.35535648,0.36666897,0.37328804,0.37845197,0.38599715,0.40373787,0.44132242,0.5023274,0.57322216,0.62489253,0.63505286,0.60518926,0.562263,0.5332217,0.53009605,0.544324,0.5611015,0.5668048,0.5566856,0.5345624,0.5103174,0.49327743,0.48531923,0.48308793,0.48100296,0.4782653,0.47552958,0.47501633,0.47555098,0.47483352,0.4689376,0.4578482,0.44869065,0.45566595,0.48860118,0.5409549,0.58902,0.6096721,0.5979977,0.5689774,0.542412,0.5283778,0.5264891,0.5312395,0.5392667,0.54969144,0.5668523,0.59471685,0.63258934,0.6665868,0.679857,0.66348773,0.6279585,0.5901119,0.5608454,0.53842765,0.51893324,0.50219625,0.49077424,0.48435572,0.48060215,0.47783372,0.47707614,0.48096755,0.4944605,0.5228474,0.5643861,0.6051279,0.62185997,0.6008587,0.54680425,0.48269773,0.43026456,0.4018754,0.39640525,0.40697405,0.42499757,0.44611052,0.47337422,0.51084334,0.5527535,0.5772033,0.5621552,0.50529534,0.43049964,0.36993948,0.34411418,0.35595152,0.39462975,0.4413825,0.47533417,0.48841575,0.4943228,0.51532847,0.55635023,0.59196275,0.5920002,0.5488822,0.48724854,0.4370694,0.41376123,0.41282853,0.42314565,0.43620273,0.45005858,0.47060668,0.50541455,0.55401605,0.5982446,0.61149627,0.57788044,0.5069529,0.42768624,0.3692923,0.3464153,0.35527968,0.38078427,0.40672216,0.4265339,0.4487363,0.48494545,0.53531426,0.57849646,0.5937331,0.57701236,0.54615086,0.51486486,0.4827043,0.44083312,0.39007255,0.3419231,0.30703315,0.28787863,0.28013337,0.279307,0.28310034,0.2942042,0.32296577,0.37797678,0.45351076,0.51883876,0.5410409,0.508193,0.4436163,0.38111082,0.3424983,0.32684442,0.32305756,0.32197127,0.32330343,0.3363262,0.37316597,0.43463516,0.49912357,0.5305285,0.50585264,0.4343171,0.35136625,0.2917349,0.2716991,0.28830433,0.32570136,0.36426258,0.38903776,0.40580162,0.4324412,0.48023167,0.5289604,0.5438011,0.5039417,0.424001,0.33767307,0.27192706,0.23507999,0.2216038,0.22306032,0.23356462,0.25515297,0.29807523,0.36880115,0.45591393,0.5276314,0.5550821,0.5343268,0.48783842,0.44401696,0.41787985,0.41053566,0.41527274,0.4260229,0.4392128,0.45850858,0.49071884,0.536267,0.58020353,0.60038584,0.58773303,0.5533231,0.5177141,0.48928854,0.46591258,0.44264126,0.4230199,0.41090724,0.4071513,0.4081503,0.41071138,0.41375962,0.4192541,0.43495035,0.46948698,0.52198607,0.5741587,0.59966856,0.58657557,0.5439814,0.49414232,0.45046732,0.41973463,0.40279052,0.40126297,0.4087442,0.41663906,0.42121482,0.42670143,0.43746945,0.45143878,0.4687818,0.49535313,0.5358753,0.5785406,0.60077095,0.59049815,0.55871993,0.5261223,0.50132793,0.4791446,0.45475197,0.43083334,0.41138983,0.39494407,0.38313285,0.38313332,0.40180624,0.43092957,0.45258155,0.4542425,0.43927196,0.41903654,0.39881572,0.37585974,0.34589908,0.3096544,0.2720164,0.23845203,0.21456528,0.20264496,0.20093562,0.20249353,0.20157106,0.19796474,0.19666387,0.20254387,0.21411853,0.22535557,0.22947942,0.22611485,0.22054051,0.22003059,0.226646,0.2356044,0.23955238,0.23482163,0.22375232,0.21050663,0.19701634,0.1829043,0.1698056,0.16284455,0.16641979,0.17812242,0.18896234,0.19150297,0.18649669,0.18149197,0.18293463,0.19336772,0.21377623,0.24431057,0.27963957,0.3061073,0.3105385,0.29105243,0.259895,0.23228092,0.21672696,0.21360956,0.22007555,0.2319401,0.24237235,0.24432261,0.23520131,0.2197652,0.20514363,0.19629772,0.19465613,0.20080777,0.21423203,0.23214751,0.25033322,0.2668319,0.2823853,0.29763493,0.3098615,0.31650415,0.31736317,0.31525543,0.31009457,0.3002306,0.2845906,0.26704606,0.25199676,0.24221168,0.23805827,0.23999609,0.24664545,0.25240225,0.24977936,0.23573901,0.21515374,0.19679458,0.18662103,0.18580823,0.1917041,0.20029598,0.20548742,0.20211725,0.18870004,0.17013963,0.15464641,0.15106626,0.16544728,0.19851334,0.24100709,0.27673596,0.29198864,0.2878455,0.27741966,0.2744985,0.28067908,0.28893247,0.29101023,0.28497422,0.27225372,0.25667036,0.2427619,0.23484503,0.23391347,0.23690923,0.24229832,0.25113538,0.2649431,0.2773524,0.27843273,0.2620481,0.23393363,0.20569901,0.1860289,0.17671447,0.17560613,0.18123376,0.19149321,0.20352156,0.21391894,0.22157474,0.2277716,0.2354272,0.24895161,0.27168,0.30245993,0.33178413,0.3466756,0.33915755,0.313185,0.2812859,0.255368,0.24053168,0.23444873,0.23299617,0.23311211,0.23568034,0.2430964,0.25635982,0.2715542,0.28071728,0.27791563,0.26317385,0.24285518,0.22344066,0.20875974,0.19896169,0.19283663,0.18871927,0.18614553,0.18744451,0.19490038,0.20681046,0.21497793,0.21230018,0.1991566,0.18336172,0.1717794,0.1645114,0.15837906,0.15123929,0.14464875,0.14040981,0.14038731,0.14664987,0.16081862,0.18161936,0.20294929,0.21791358,0.22280526,0.21989447,0.21414171,0.20993024,0.20958437,0.2137204,0.22156815,0.22952849,0.23234577,0.2254119,0.20812295,0.18511738,0.16568184,0.1615233,0.17966448,0.21573062,0.25270316,0.2724036,0.2683394,0.24848336,0.22561133,0.20764445,0.19790961,0.19773126,0.206665,0.21862322,0.22692709,0.22989015,0.23397799,0.24461855,0.2610363,0.27675113,0.28708437,0.29131362,0.29013368,0.28434673,0.27624714,0.2705085,0.26992768,0.2713739,0.2690464,0.2598954,0.24783258,0.23830706,0.23586078,0.24151456,0.2544484,0.26939905,0.27702644,0.2682574,0.24101402,0.2031282,0.1675335,0.1461094,0.14417243,0.15926652,0.18154885,0.19814186,0.19998533,0.1868701,0.16704725,0.15088493,0.14634697,0.15670754,0.18065101,0.21132477,0.23753606,0.24973619,0.24513638,0.22958,0.21181528,0.20034753,0.20077121,0.21509153,0.2389133,0.26205552,0.27541134,0.27741304,0.27406344,0.27145568,0.2703209,0.2682079,0.2622706,0.25195605,0.23579831,0.21509324,0.19390129,0.18067203,0.18053377,0.1921538,0.20678675,0.21496145,0.21203345,0.20094146,0.18945254,0.18426687,0.18631344,0.19190215,0.19860536,0.20999704,0.23111933,0.26084435,0.28797492,0.30023015,0.29298595,0.27279884,0.24955986,0.23164201,0.22366315,0.22819696,0.24360394,0.26348674,0.27914914,0.28535473,0.28224888,0.2732588,0.2614772,0.24956574,0.23958237,0.23254652,0.22655003,0.21923722,0.21051238,0.20378537,0.20240553,0.20640904,0.21249501,0.21648909,0.21638817,0.21295817,0.20924084,0.20815426,0.21022959,0.2130038,0.2128513,0.20848042,0.20179217,0.1964724,0.1945923,0.19581729,0.19803637,0.19923276,0.19778295,0.19277294,0.18417494,0.1734298,0.16285743,0.15434337,0.14802803,0.14206226,0.13345596,0.120791934,0.10724082,0.10203535,0.114695586,0.14654636,0.18493794,0.21076162,0.21162868,0.19125879,0.16447377,0.14531358,0.13877855,0.1422525,0.15114091,0.16137874,0.16850764,0.16802882,0.15915538,0.14732961,0.14050448,0.14227831,0.14869274,0.15268476,0.15022145,0.14265281,0.13408822,0.12828349,0.12768465,0.13282742,0.14206417,0.15113948,0.15583707,0.1539731,0.14629053,0.13391419,0.11719045,0.096073575,0.072336614,0.049550965,0.032297842,0.024895648,0.031919003,0.055703547,0.093491755,0.1346237,0.16583194,0.17788146,0.17101078,0.15178312,0.12826861,0.1059798,0.08788837,0.07511198,0.06750539,0.06368817,0.061677847,0.059638593,0.05679885,0.05337997,0.050218165,0.047935337,0.046684027,0.046160758,0.04591374,0.04555713,0.044875924,0.043790534,0.042281043,0.040307716,0.037857335,0.034975737,0.031849533,0.028757622,0.025994988,0.02371101,0.021863041,0.020283317,0.018839685,0.017504068,0.016329734,0.015363977,0.014615699,0.014042665,0.01358286,0.013176274,0.012787211,0.012396093,0.011988242,0.011553068,0.011083387,0.010563836,0.009955798,0.009220709,0.008356137,0.007417498,0.0064857905,0.0056274366,0.004871096,0.0042166784,0.0036486273,0.003142264,0.0026681852,0.0022025772,0.0017397829,0.0012982214,0.0009117752,0.0006130491,0.00041534725,0.00030767013,0.00026226454,0.00024995234,0.00024923251,0.00024871223,0.00024361625,0.00023454125,0.00022506579,0.00022024213]