[0.24654156,0.24593925,0.23992157,0.2216499,0.1900066,0.15031944,0.11122296,0.07864585,0.054619323,0.03799987,0.027069518,0.020760946,0.018973693,0.02157627,0.027446149,0.034123715,0.03869688,0.039127186,0.035169426,0.028214632,0.020349147,0.013417707,0.008990948,0.009450098,0.018872976,0.041846078,0.07921428,0.12453779,0.16459624,0.18628265,0.18344475,0.1599848,0.12579347,0.091311395,0.0630404,0.043838233,0.03500314,0.03929079,0.05934686,0.09440428,0.1360928,0.1716976,0.18986352,0.18709256,0.16699003,0.13714743,0.104881905,0.075819105,0.053714704,0.04153213,0.042984147,0.061194777,0.09575009,0.13883562,0.17864318,0.20530783,0.21741755,0.22003104,0.21977453,0.21966155,0.21901198,0.21592288,0.20992811,0.202927,0.197495,0.19463076,0.19244011,0.18803887,0.18015309,0.17012805,0.16000576,0.15105624,0.14409329,0.14111777,0.14447202,0.1551385,0.17096026,0.18831013,0.20389475,0.21668851,0.22716422,0.23572129,0.24047638,0.23691416,0.22006577,0.18854003,0.14700544,0.10498914,0.07274338,0.058056954,0.06512904,0.09318169,0.13518918,0.17805512,0.20915759,0.22150041,0.21581788,0.19546314,0.16418809,0.12604006,0.08757475,0.056369454,0.03890221,0.038841177,0.057284568,0.091501765,0.13447706,0.17588018,0.20688657,0.22371894,0.22850943,0.22597635,0.21982385,0.21067168,0.19762383,0.1812042,0.1653458,0.15423512,0.14866066,0.14376318,0.13400757,0.116986625,0.09584848,0.07522811,0.058806118,0.047514766,0.04131487,0.040254373,0.044955388,0.05508883,0.06729507,0.07543703,0.07378224,0.06176248,0.044807624,0.032035757,0.032059252,0.050163437,0.08526024,0.12834178,0.16517554,0.18408398,0.18325482,0.17043108,0.15576132,0.14334388,0.13047917,0.11289888,0.09235719,0.077905715,0.07957709,0.10069901,0.13325931,0.16409327,0.181009,0.180454,0.16585565,0.14575781,0.12780438,0.11631626,0.111280866,0.11053014,0.11259564,0.11786822,0.12847152,0.14527136,0.16636182,0.18658419,0.20135598,0.20826477,0.20737505,0.19823313,0.18036906,0.154537,0.12439793,0.0947421,0.0694764,0.05031146,0.03727735,0.029588938,0.026717717,0.028846383,0.03606009,0.04624009,0.054573175,0.055837974,0.04875495,0.037322063,0.028925002,0.029946601,0.042069886,0.060595665,0.07595977,0.08024902,0.07315569,0.06330148,0.060667474,0.06848165,0.0803304,0.086179025,0.079956874,0.06343477,0.043244448,0.025860973,0.01403736,0.0073292386,0.004512844,0.0057938322,0.013166669,0.028224936,0.04996829,0.07362604,0.09354147,0.10597662,0.111168295,0.11141014,0.10930571,0.106325395,0.10317477,0.10048429,0.099414974,0.10232842,0.11070746,0.12338505,0.13417554,0.13583708,0.12370726,0.10009197,0.07143059,0.045205805,0.025660207,0.013802347,0.008805126,0.010490415,0.020675765,0.04040973,0.067602694,0.094811834,0.11465567,0.12332606,0.124179356,0.12360994,0.12841962,0.14171688,0.16243403,0.18478227,0.20157348,0.20830958,0.20714086,0.20475341,0.20717221,0.2136007,0.21731173,0.2107804,0.19328094,0.17300434,0.16217397,0.16844626,0.18775147,0.20775868,0.21473078,0.20379786,0.17980134,0.15643142,0.14753018,0.16082643,0.19204897,0.2286083,0.25697938,0.26991642,0.26637575,0.24813415,0.21814744,0.18274711,0.15272176,0.13920599,0.14734964,0.17209412,0.20190959,0.22418529,0.23175256,0.22216584,0.19741769,0.1612634,0.12076085,0.08433636,0.06023681,0.05271068,0.06176285,0.08345609,0.11200885,0.14107673,0.16545694,0.18181272,0.18898596,0.18774302,0.18032491,0.16959846,0.1581666,0.14828138,0.14225377,0.14210707,0.14797364,0.15677385,0.16326071,0.16316439,0.15619485,0.14634138,0.13919498,0.1375934,0.13902728,0.13750435,0.12945573,0.119019,0.115862645,0.12771301,0.15230839,0.17888296,0.1947269,0.19451572,0.18238468,0.16996926,0.16791613,0.1797858,0.19862987,0.21312435,0.21518482,0.20624556,0.19451623,0.18812351,0.18844567,0.18959309,0.18307686,0.16446358,0.13696094,0.11109978,0.09827595,0.104028456,0.123214774,0.14401849,0.15495007,0.15099758,0.13416724,0.11093227,0.090318985,0.0807526,0.08720405,0.10740489,0.13273261,0.15183608,0.15635717,0.1450367,0.124664344,0.10749203,0.103827484,0.11667156,0.13922033,0.16157825,0.1755588,0.17932992,0.17387365,0.16144292,0.14321095,0.12076802,0.097170286,0.07758752,0.06904999,0.077352144,0.1036306,0.14132352,0.17904757,0.20650224,0.21988274,0.22116907,0.21423894,0.20159213,0.18507142,0.16738601,0.15310697,0.14716238,0.15250273,0.16702788,0.18284164,0.18968217,0.18123674,0.15949605,0.1329948,0.111142546,0.099242926,0.09723169,0.10187069,0.10905149,0.116390355,0.1222063,0.12584697,0.12595968,0.123044394,0.117988296,0.11236029,0.10614566,0.10048938,0.09820702,0.10299117,0.1148062,0.12928905,0.14110218,0.14936614,0.15751465,0.16896693,0.18176116,0.18941171,0.1851003,0.16721492,0.14006864,0.11196192,0.09051625,0.079224475,0.07660911,0.079129435,0.08533424,0.09644672,0.11330539,0.13250247,0.14719361,0.15092032,0.14139946,0.12083614,0.09412437,0.06680908,0.043429222,0.02669012,0.017169835,0.014270443,0.016799776,0.022981593,0.02978756,0.033690352,0.032361142,0.026278054,0.018098218,0.010774534,0.0058179456,0.0031608054,0.0019596333,0.0014399107,0.0011896054,0.0010674326,0.001023953,0.001001755,0.0009437916,0.0008369706,0.0007277208,0.0006682128,0.00066832476,0.00068868836,0.0008727082,0.0022079784,0.007257831,0.019997036,0.043111563,0.074721664,0.10664892,0.12853229,0.13325423,0.12137934,0.0987998,0.0730674,0.049431443,0.030777372,0.01882263,0.016582116,0.029637655,0.06349122,0.11749613,0.18095155,0.2371492,0.2738333,0.28946555,0.29116902,0.28693032,0.28110585,0.2750933,0.26983404,0.26775363,0.27268022,0.28890714,0.31784427,0.35487828,0.3894244,0.41119346,0.41586384,0.40688732,0.38964295,0.368137,0.34371307,0.31832325,0.29476336,0.27744952,0.27155325,0.28245112,0.31155184,0.35259566,0.39191929,0.41402385,0.4095975,0.37848464,0.33016384,0.27845106,0.23683107,0.21202864,0.20318697,0.20535684,0.21415137,0.2273053,0.24158704,0.25318876,0.25948587,0.26277038,0.26760754,0.27639067,0.2848402,0.28366664,0.2653313,0.2321034,0.19890408,0.1863151,0.20686007,0.25598207,0.31452918,0.36338046,0.39346686,0.4076314,0.41187215,0.41046262,0.40457845,0.39468613,0.38207152,0.36916685,0.36044523,0.35883638,0.3630738,0.36461058,0.35458842,0.32989523,0.2986021,0.27272725,0.26109135,0.26253593,0.2701857,0.27655473,0.27904838,0.27863887,0.2788154,0.28421012,0.29961625,0.32585156,0.356246,0.37936458,0.38548025,0.37055233,0.33488595,0.28169405,0.21961479,0.1621627,0.123299986,0.10939077,0.118346564,0.14226419,0.17234264,0.2002672,0.21969914,0.22760554,0.22536619,0.21760733,0.2089107,0.20202816,0.19857605,0.2026112,0.22006454,0.25391945,0.29849556,0.34126532,0.37190267,0.38850293,0.39673635,0.40205768,0.40578163,0.4044156,0.39312783,0.3692044,0.33529305,0.299354,0.27061185,0.25450963,0.25106826,0.25723568,0.27020112,0.2889222,0.3124213,0.3368819,0.3536754,0.35330164,0.33249143,0.2992331,0.26894888,0.2560517,0.26576433,0.29282418,0.3246962,0.3488991,0.35795268,0.34898424,0.32190073,0.27835217,0.22660613,0.17908718,0.14831029,0.13944799,0.1512325,0.17806403,0.21190079,0.2440884,0.26822868,0.2842169,0.29687023,0.31044328,0.32471576,0.33557525,0.34152782,0.34445465,0.3469893,0.3463515,0.3364222,0.31429854,0.28598252,0.2638812,0.25904253,0.2745975,0.30444834,0.33661592,0.3587654,0.36361298,0.35094628,0.32657018,0.29789773,0.2715283,0.25103375,0.23775715,0.23048587,0.22710502,0.22531174,0.22413112,0.22372194,0.22467957,0.22714722,0.23032118,0.23262991,0.23096101,0.2220161,0.20383726,0.17927764,0.15424025,0.13502732,0.123974,0.12096542,0.12513147,0.13673542,0.15508586,0.17767756,0.20045976,0.2200915,0.23478383,0.24429989,0.24939032,0.25162852,0.25252292,0.25290617,0.25247666,0.2512963,0.24956565,0.24806209,0.2469583,0.24745077,0.25107518,0.25885198,0.26875746,0.27662778,0.2793423,0.27740052,0.27462602,0.2739338,0.27558422,0.2766063,0.2748611,0.27031037,0.26572636,0.26387957,0.2654659,0.26872775,0.27174908,0.27613047,0.28794023,0.31241643,0.3481793,0.3843949,0.40897277,0.4148883,0.40366217,0.38014042,0.34952447,0.316965,0.28862286,0.27198458,0.27268842,0.29152608,0.32122564,0.34827456,0.35898915,0.346311,0.31407508,0.27510485,0.2470067,0.24287833,0.26453182,0.29914495,0.32720974,0.33381584,0.31790194,0.29162273,0.2719679,0.2711413,0.2890079,0.31514993,0.33508185,0.34224498,0.3399413,0.33867738,0.34443188,0.35661396,0.36879835,0.37706017,0.37975287,0.3773782,0.36868402,0.35403013,0.33520088,0.31665823,0.3011301,0.29069415,0.28489652,0.28296605,0.28159764,0.27870128,0.2736744,0.27002916,0.27138457,0.27969256,0.2922723,0.3038949,0.30974296,0.30877694,0.30346575,0.2969652,0.291204,0.28767455,0.287585,0.2898504,0.2880651,0.27525243,0.25141555,0.23017083,0.22988759,0.26044372,0.31204426,0.36251405,0.39131355,0.39078042,0.3652536,0.32423416,0.2781516,0.23564732,0.2029788,0.1822574,0.17224722,0.16934119,0.16921479,0.16971324,0.17362821,0.18897273,0.22220004,0.27142775,0.3243948,0.36670485,0.3896514,0.3925093,0.3780438,0.34948614,0.31242958,0.2756188,0.24892502,0.23774354,0.24149172,0.25454894,0.26931587,0.2785322,0.27774587,0.26733077,0.25333384,0.24532026,0.2522827,0.2762755,0.31115136,0.34504473,0.36945936,0.3824722,0.3885746,0.39205456,0.3939431,0.39162287,0.38181734,0.36460772,0.34411097,0.32708725,0.31799054,0.3171319,0.32134247,0.32698372,0.3319514,0.33562768,0.33823526,0.33995366,0.34059992,0.3402412,0.3391358,0.3383141,0.33801532,0.33783826,0.3359301,0.330704,0.32166615,0.3111157,0.30369994,0.30435327,0.31484783,0.33140746,0.34607816,0.35095534,0.3434358,0.3273805,0.31036386,0.29789677,0.2912347,0.2881542,0.2866372,0.28591025,0.2861427,0.2874141,0.2890052,0.28997824,0.2886494,0.28392327,0.2749401,0.26217714,0.24687445,0.23120148,0.2171788,0.2057264,0.19631629,0.18766111,0.17915411,0.17131114,0.16515745,0.16125607,0.15935032,0.1596899,0.16340816,0.17223154,0.18603712,0.20267935,0.21910088,0.23418772,0.24829717,0.2621584,0.2745165,0.28372732,0.28830323,0.28863832,0.2856284,0.28038314,0.27341154,0.26530707,0.25727606,0.25101206,0.2473876,0.24639155,0.24693418,0.24912529,0.2522967,0.25643766,0.25963292,0.26165614,0.26230118,0.26321772,0.26496044,0.26753035,0.27037132,0.27460146,0.28350896,0.30107954,0.32779956,0.35921562,0.3863115,0.40106854,0.39846888,0.37920424,0.34804168,0.3138264,0.28533924,0.26768577,0.26034105,0.26084748,0.2694517,0.2880197,0.31537977,0.34302232,0.36023083,0.35930327,0.3407847,0.30974242,0.27442953,0.24224627,0.21991028,0.21003197,0.2116252,0.2206351,0.23284273,0.24412553,0.24957816,0.24487232,0.22930048,0.20943844,0.1962621,0.19916314,0.21940202,0.24975125,0.27928087,0.29956698,0.3078062,0.30587915,0.29755142,0.2866386,0.27624634,0.26917574,0.26886258,0.2787285,0.30050477,0.33024395,0.35886988,0.37516508,0.37285683,0.35358083,0.326624,0.3031471,0.29081988,0.2903904,0.2972222,0.3045412,0.3068231,0.30113617,0.28810334,0.27126178,0.25638995,0.24897246,0.25283027,0.26700965,0.28490335,0.29508683,0.28833428,0.2635527,0.22940594,0.1977765,0.17810674,0.17484313,0.18862861,0.21531291,0.24591815,0.26961645,0.28018045,0.2789956,0.27326056,0.26938173,0.26875088,0.26623166,0.25531378,0.23338212,0.20502944,0.17821328,0.15937926,0.15128243,0.1556428,0.17458707,0.20834021,0.25131688,0.29276788,0.32219648,0.33511147,0.33420202,0.32655564,0.3196909,0.31849957,0.3236637,0.33187664,0.33822647,0.33852208,0.33095646,0.31591922,0.29637825,0.27753627,0.26610872,0.26787308,0.2843436,0.31144652,0.34062764,0.36422586,0.3778814,0.38076308,0.3718307,0.35024273,0.3172102,0.27817264,0.24047361,0.20981592,0.18810892,0.17442119,0.16712584,0.16515975,0.16799158,0.17545415,0.18772556,0.2054313,0.22713111,0.24857788,0.26288253,0.26644063,0.26068643,0.25199947,0.24560155,0.2432275,0.24300086,0.2424258,0.24059123,0.23850417,0.23820664,0.24076886,0.24516292,0.2489741,0.24989878,0.24758571,0.24309002,0.2381313,0.23344386,0.22886814,0.22381657,0.21843858,0.21390963,0.21206601,0.21431948,0.22042798,0.22811079,0.23392928,0.23562448,0.23358999,0.2309332,0.23141843,0.23726518,0.24807286,0.26092887,0.27199957,0.2769189,0.27261814,0.258118,0.23660271,0.21348609,0.19451474,0.18297231,0.18064977,0.18758774,0.20230466,0.22066373,0.23841695,0.25386527,0.2699561,0.29045203,0.3151053,0.33780444,0.35151815,0.35369456,0.34576967,0.329635,0.30624783,0.2795678,0.25671002,0.244217,0.24320395,0.2509328,0.26506978,0.28457603,0.30748832,0.32828018,0.34141663,0.34442005,0.34016708,0.33312932,0.32552037,0.3143177,0.2934719,0.25945872,0.21621007,0.17389973,0.1426292,0.12613076,0.120947845,0.12011055,0.11813238,0.114105485,0.11055326,0.10963916,0.109249674,0.104422696,0.09272021,0.07950432,0.07748523,0.09853817,0.1448447,0.2040251,0.25636342,0.28458226,0.2829168,0.25649056,0.21762626,0.1796078,0.15177046,0.1370144,0.13334288,0.13913955,0.15429221,0.17713086,0.19877173,0.2064815,0.19215874,0.16179796,0.13287114,0.12497318,0.14634235,0.1908235,0.24117272,0.28180292,0.3040621,0.30938992,0.30220672,0.28792086,0.26805675,0.24264233,0.210889,0.17564136,0.14247702,0.11689919,0.100311674,0.091008484,0.08838546,0.096562415,0.121290766,0.16363384,0.21384726,0.2557528,0.2752048,0.26974562,0.24713898,0.21949874,0.1956256,0.17969127,0.17189686,0.17073093,0.1741627,0.18227006,0.19641961,0.21703027,0.2384352,0.2510576,0.24575096,0.22075488,0.18105721,0.13619815,0.09616534,0.069920905,0.06312879,0.07651318,0.10568688,0.1426725,0.1782762,0.20309786,0.21053505,0.19956905,0.17776515,0.15754439,0.14936723,0.15483852,0.16746487,0.17915286,0.18673645,0.19339867,0.20422697,0.22116286,0.24001114,0.25284865,0.25289333,0.23918588,0.21630992,0.19106956,0.16824543,0.15004914,0.13579647,0.12355501,0.1097619,0.09280915,0.074146174,0.059601694,0.05437516,0.059724886,0.070709884,0.08011793,0.082275696,0.07615753,0.064217284,0.050658822,0.04029954,0.039097223,0.05379346,0.08754003,0.13550842,0.18377185,0.21701288,0.2260478,0.21181343,0.1818686,0.1469678,0.11880526,0.10629032,0.11174101,0.12749147,0.14155914,0.14344923,0.13051452,0.10619316,0.07848867,0.05671434,0.050541054,0.065699995,0.100700855,0.14451124,0.18232544,0.20198758,0.20007122,0.17986418,0.14829282,0.11282828,0.0812786,0.06130873,0.057218846,0.067035526,0.081330985,0.08891925,0.08361455,0.069962494,0.060535952,0.06976584,0.10391488,0.15707374,0.2122047,0.25213373,0.26819006,0.26292506,0.24362832,0.21674074,0.18780462,0.16327976,0.15186155,0.1610054,0.19549967,0.2520645,0.31972924,0.3807379,0.4221045,0.4401821,0.4420798,0.43658686,0.43023503,0.42555976,0.4233559,0.42319706,0.42393744,0.42399272,0.42206338,0.4169847,0.40878752,0.39848855,0.38822696,0.37883553,0.36985603,0.3602252,0.350606,0.34254685,0.33815405,0.34151742,0.36269116,0.41376567,0.4953463,0.58417463,0.64008075,0.63465506,0.5730472,0.4914801,0.4268471,0.39552796,0.38998774,0.3966724,0.40724424,0.4220339,0.44235313,0.46672478,0.48903075,0.50200766,0.4979155,0.4702405,0.41559485,0.33787575,0.24965446,0.16749774,0.10612475,0.074858,0.07980544,0.12176126,0.19192143,0.26750928,0.32029435,0.3301605,0.2964523,0.23561482,0.17238331,0.12987189,0.1228104,0.15267533,0.20719302,0.26666495,0.31522417,0.34709457,0.3658805,0.37633336,0.38066936,0.3771411,0.36379704,0.3418058,0.31851137,0.3078116,0.31947425,0.35271212,0.39405033,0.43750593,0.48793676,0.5540245,0.6217912,0.6602301,0.64370763,0.5793122,0.4994698,0.43683538,0.4035082,0.39197496,0.38892078,0.38649988,0.38620758,0.39428887,0.41451797,0.4424114,0.46572176,0.47099617,0.4492819,0.40063798,0.33168778,0.2547306,0.18162839,0.12431588,0.09239573,0.0957912,0.13669877,0.20503421,0.27558878,0.32374987,0.3387992,0.3295671,0.31145823,0.29514492,0.28384396,0.27917787,0.28416213,0.3000972,0.32351425,0.34835163,0.37001595,0.3876874,0.40009692,0.4046664,0.39670113,0.3758372,0.3470306,0.32347438,0.3185092,0.33862802,0.37650362,0.4200079,0.46503767,0.51659465,0.5749016,0.6204631,0.6277167,0.58663034,0.51786876,0.4533933,0.41464207,0.39983153,0.39601144,0.39311326,0.39175382,0.39910612,0.41924858,0.4480569,0.4733847,0.48438707,0.47547862,0.44788286,0.40432027,0.34906307,0.289041,0.23409395,0.19486749,0.17886092,0.19191228,0.2325191,0.29022962,0.34170517,0.36676204,0.35803294,0.3274691,0.2911717,0.26161638,0.2439605,0.2416877,0.25534716,0.28041354,0.30763876,0.32931766,0.34364867,0.35335588,0.3604615,0.36391437,0.36203447,0.35690776,0.3556343,0.3669131,0.39304647,0.4264991,0.4541279,0.47133437,0.48749402,0.51631147,0.5568297,0.58830094,0.5883022,0.5524818,0.4993911,0.45122346,0.41916132,0.39953336,0.38622203,0.37941,0.38768783,0.42034885,0.47610745,0.5373232,0.57581204,0.57077295,0.52152765,0.44688883,0.3709395,0.31293592,0.2835097,0.28666845,0.31775615,0.3644978,0.4097469,0.4396366,0.44689977,0.43241706,0.40106705,0.3593099,0.3119159,0.26398426,0.2225761,0.19913352,0.20353216,0.23770587,0.28942573,0.33950925,0.37174988,0.38272718,0.37843624,0.3675001,0.3539494,0.33745897,0.31669727,0.29551706,0.2850081,0.296234,0.32980314,0.37243834,0.41351768,0.45371103,0.50138456,0.5496044,0.57784563,0.5684729,0.52817565,0.48082817,0.44772032,0.4342959,0.43391848,0.43903986,0.44598424,0.4549135,0.46648505,0.48064554,0.49482068,0.5041414,0.50151664,0.48075438,0.43951437,0.38257828,0.32003734,0.2627376,0.21802182,0.19106047,0.18841518,0.21545573,0.26926064,0.33343396,0.3874381,0.41882858,0.43015954,0.43102345,0.42878547,0.4248989,0.41822156,0.40861583,0.39756063,0.38757372,0.3817351,0.38201758,0.3879421,0.39496067,0.39723012,0.3896242,0.3708752,0.34476364,0.32175317,0.31603524,0.33442187,0.3702803,0.4075278,0.44181156,0.48156407,0.5360951,0.5904221,0.6161769,0.59348196,0.5339268,0.4664872,0.4165652,0.38974845,0.37878904,0.3746885,0.3746641,0.38114655,0.39659926,0.42033365,0.4459535,0.46477148,0.46617413,0.44379875,0.39679036,0.33542576,0.276061,0.23499216,0.21907134,0.22575653,0.24986947,0.28558013,0.32637775,0.35851574,0.37073794,0.35879079,0.33257806,0.30428457,0.28354394,0.2726656,0.27238014,0.28208727,0.2995138,0.3196169,0.33788666,0.3536043,0.36900243,0.38483033,0.39686236,0.39767906,0.3825678,0.3560923,0.3331009,0.33028486,0.35281202,0.39015555,0.42866644,0.46807408,0.5180494,0.57750916,0.6207014,0.61613303,0.5558974,0.46779218,0.391891,0.3519343,0.34409854,0.3503565,0.35720277,0.36295405,0.37429622,0.39505586,0.42193577,0.44366765,0.4495885,0.43379536,0.39831772,0.34927967,0.29551104,0.24595404,0.20884812,0.18972242,0.1923275,0.21775506,0.26184976,0.31099352,0.34606934,0.35305128,0.3320569,0.29531637,0.25753972,0.22953574,0.21769355,0.22534657,0.25052276,0.28421855,0.31417394,0.3318158,0.33764172,0.33737573,0.33734325,0.33875212,0.34015465,0.33986887,0.3407747,0.35002732,0.3718392,0.40277115,0.43137968,0.45519674,0.4825194,0.52576137,0.57644135,0.6085067,0.59638745,0.5419619,0.47107014,0.41323185,0.3809948,0.36935374,0.3678697,0.3728231,0.39125547,0.43494216,0.50570154,0.584637,0.6353385,0.6282944,0.5603524,0.45852426,0.35881922,0.28942946,0.2610213,0.27179134,0.31019786,0.36098275,0.40786624,0.43829823,0.44422796,0.42469856,0.38593543,0.3395914,0.29675534,0.26435566,0.2458722,0.24390571,0.25938106,0.28814766,0.32020974,0.34364346,0.35060275,0.3402045,0.31818542,0.2929219,0.27153856,0.2565119,0.246991,0.2422706,0.2452827,0.26058722,0.28931513,0.32442537,0.35250378,0.3605415,0.34330428,0.3056295,0.25840813,0.21323217,0.17732252,0.1529798,0.13774537,0.1278664,0.11990247,0.1126964,0.10657463,0.10299734,0.10300357,0.105978645,0.10882154,0.10745439,0.099612564,0.08685511,0.07316501,0.06228803,0.055317495,0.051321644,0.048519313,0.04610366,0.044491246,0.045033578,0.04854855,0.05433895,0.060389984,0.06471444,0.066629685,0.06665032,0.06570661,0.06428989,0.062507935,0.060448404,0.05892028,0.05966303,0.06490768,0.07515627,0.08771015,0.09655536,0.09638828,0.085677885,0.068313934,0.050138664,0.035922557,0.027027152,0.022606572,0.021392258,0.023405261,0.03014829,0.04283084,0.06054482,0.07927785,0.094293855,0.10261085,0.10475246,0.10325667,0.100853026,0.098946504,0.09767041,0.096741825,0.0965301,0.09862602,0.10446608,0.11312762,0.12000519,0.11918723,0.10758548,0.087591045,0.06533226,0.046616733,0.03401487,0.026928715,0.023875048,0.024412757,0.030027168,0.0420678,0.059848595,0.07897792,0.09431655,0.10252715,0.10441625,0.102711946,0.1001808,0.09792177,0.09593886,0.09394572,0.09228775,0.092428364,0.096244544,0.10418532,0.113578,0.119023055,0.11574814,0.10268947,0.083569236,0.06396087,0.04836331,0.03815737,0.034036156,0.038562052,0.058161557,0.096251495,0.1469101,0.19155689,0.21220833,0.20324898,0.17661478,0.14903575,0.130886,0.122027494,0.11811926,0.116862886,0.12094291,0.1372283,0.17179894,0.22312558,0.27860186,0.32038143,0.336591,0.32735765,0.30102697,0.26611385,0.22818004,0.19162911,0.1620299,0.1458887,0.14963084,0.17766924,0.2284775,0.29145896,0.34874704,0.38416067,0.3900727,0.36907578,0.32862133,0.27791187,0.22634578,0.183595,0.15868704,0.15818347,0.18476039,0.23113026,0.27977386,0.30667803,0.29902932,0.26211935,0.21809472,0.1872387,0.177938,0.18324237,0.19010155,0.18973953,0.18543388,0.19266994,0.22438003,0.2789807,0.33395752,0.3663248,0.36639473,0.347114,0.32549122,0.3120276,0.3039265,0.29567206,0.28547564,0.27815565,0.28151795,0.29812118,0.32158628,0.3352556,0.3258352,0.29065713,0.24253748,0.19672829,0.16359083,0.14348972,0.13276805,0.12871116,0.13350306,0.15384555,0.19411093,0.25016907,0.3067815,0.34724328,0.36250773,0.3555366,0.33536148,0.30905807,0.27889225,0.24343477,0.20537674,0.17392568,0.16451171,0.18678324,0.23503633,0.28616178,0.31326655,0.30389252,0.26615363,0.22040455,0.18247671,0.15794809,0.14365797,0.13592595,0.13438262,0.14492019,0.17605968,0.23024982,0.29556528,0.348601,0.3707806,0.3618486,0.339022,0.32128596,0.3168182,0.32076833,0.32283488,0.31575072,0.30117497,0.2896978,0.29108772,0.3044211,0.3144138,0.30636612,0.27788678,0.24355584,0.22050093,0.21716164,0.227432,0.23754065,0.23735784,0.22916798,0.22830822,0.24866192,0.2904638,0.33461848,0.3602618,0.35769913,0.33632508,0.3102673,0.28871378,0.26951012,0.24676704,0.21886812,0.19431973,0.18882875,0.21185692,0.2565658,0.2986735,0.3160306,0.30240405,0.27229738,0.2449672,0.2333294,0.23825736,0.25369897,0.27158666,0.28710917,0.30104795,0.31599653,0.32984248,0.33187932,0.31192085,0.2700065,0.22093795,0.1825409,0.16448186,0.16270943,0.1667524,0.16896236,0.17079806,0.18125938,0.20855938,0.24977116,0.28837454,0.30376247,0.28774622,0.24976088,0.2089789,0.17860872,0.16099136,0.15108262,0.14494823,0.14383514,0.15435262,0.1835428,0.22958004,0.27771318,0.3060455,0.30263004,0.27328745,0.23665442,0.20792226,0.19152914,0.18370277,0.18025605,0.18134998,0.1908137,0.21383168,0.24927104,0.2871798,0.3104007,0.30856326,0.28449193,0.25325295,0.22821389,0.21427786,0.20753519,0.20268738,0.19824271,0.19834636,0.21083446,0.2384386,0.27406263,0.30063006,0.30766845,0.29733047,0.28313163,0.27232918,0.26460734,0.25719908,0.25209886,0.25160325,0.25316978,0.25532672,0.2600648,0.2714348,0.2846842,0.29246315,0.2923899,0.29228726,0.29848024,0.30887482,0.31668726,0.318477,0.3161639,0.31033996,0.30201912,0.2927034,0.2869415,0.28428963,0.28319147,0.2829651,0.28870717,0.30249035,0.32062444,0.3350074,0.34013566,0.33495045,0.32197967,0.30801383,0.30187476,0.3083799,0.32227895,0.33168814,0.3291656,0.31658998,0.3020973,0.29154432,0.288118,0.29256102,0.303731,0.31672844,0.32582358,0.32938167,0.3292837,0.3274403,0.32228914,0.31397933,0.30488455,0.29893234,0.29549062,0.29301417,0.29066345,0.28932515,0.28788587,0.2844993,0.28138208,0.2818992,0.28681883,0.2890775,0.28467086,0.27459487,0.2660271,0.2604036,0.25633088,0.25146234,0.24744622,0.24498075,0.24307232,0.24267696,0.24717855,0.2602632,0.27828595,0.29586327,0.30704498,0.31001756,0.3018063,0.2835288,0.2629075,0.25311753,0.26136342,0.28201476,0.30355266,0.31902918,0.32968056,0.33711353,0.33966067,0.3354235,0.32596973,0.31514016,0.3036298,0.29145232,0.27796522,0.26501235,0.252323,0.24270105,0.2409098,0.25356066,0.27915406,0.30840397,0.32999817,0.33955944,0.34020647,0.3354042,0.3267081,0.31237352,0.2938079,0.27308884,0.25566873,0.24536824,0.24490412,0.25154546,0.25885096,0.26058036,0.25484613,0.24611527,0.24047129,0.24402557,0.25828514,0.28073338,0.3034838,0.318822,0.32383704,0.32290852,0.32292783,0.32674882,0.33106884,0.3301833,0.32159972,0.30795744,0.29367742,0.28082046,0.2680767,0.2547102,0.24344592,0.23932493,0.24435472,0.25542468,0.26595128,0.27154446,0.27144447,0.2687662,0.2662445,0.26555857,0.26593378,0.2667264,0.26754618,0.26877597,0.27042177,0.27237466,0.27509585,0.2788217,0.28235826,0.28143695,0.27152383,0.25058106,0.22210099,0.19219203,0.16677763,0.14838254,0.13775973,0.13477945,0.13931899,0.14939098,0.16089667,0.168877,0.17054033,0.16664383,0.16042745,0.155134,0.152377,0.15194531,0.15393426,0.16051893,0.17764883,0.20898347,0.2507304,0.28749344,0.30394658,0.29472813,0.2708625,0.24821977,0.23780651,0.23935747,0.24687499,0.25277045,0.25251612,0.24457414,0.23196973,0.21996503,0.21408166,0.21579506,0.22245972,0.22912724,0.23264635,0.23303203,0.23247077,0.23281395,0.23492102,0.2419231,0.26325044,0.3145459,0.40325472,0.5142899,0.60477835,0.6323274,0.5825589,0.48550454,0.38809395,0.3265696,0.30593923,0.31232855,0.3266826,0.33724105,0.33874273,0.3317062,0.31956372,0.3082306,0.30174324,0.30094144,0.30064717,0.29298422,0.27045158,0.23281318,0.18886693,0.15428557,0.14373176,0.16557115,0.21635754,0.28233254,0.34127238,0.37659928,0.38367125,0.37326622,0.3582195,0.3467122,0.33880106,0.33269083,0.32728675,0.32287323,0.31904924,0.31443813,0.3068619,0.2946429,0.2765047,0.2517988,0.2207552,0.18753815,0.16232938,0.15990506,0.1888625,0.24372786,0.3058351,0.36272082,0.41855934,0.4863285,0.5612385,0.6123273,0.6061957,0.53851414,0.44328657,0.3636303,0.32462025,0.32221973,0.33932802,0.3582245,0.3677206,0.3618848,0.34059104,0.3091136,0.2760212,0.2491501,0.23127808,0.21873645,0.20333874,0.17870496,0.14518128,0.1117707,0.09232444,0.099791385,0.138811,0.20136929,0.26821363,0.31936136,0.34527573,0.3518513,0.3526901,0.35898718,0.37298167,0.39083603,0.40804836,0.42258653,0.4337553,0.43858668,0.4316962,0.40801978,0.36824703,0.3200179,0.27437088,0.23926659,0.21845894,0.2146824,0.23381674,0.2758132,0.33018908,0.37572142,0.40641335,0.4338595,0.4793919,0.5365245,0.5760477,0.565654,0.50801235,0.4340874,0.38098028,0.3637313,0.37533703,0.39866555,0.4199505,0.4321963,0.43220153,0.4170792,0.38394594,0.33380258,0.27443734,0.21982294,0.18387966,0.17499578,0.19212669,0.22696085,0.2675737,0.30489707,0.33518085,0.3582339,0.3727894,0.37422553,0.36017725,0.33492312,0.31125844,0.30145618,0.31091943,0.33469963,0.36374307,0.39068392,0.41298482,0.43028986,0.440775,0.4401678,0.42475381,0.39536855,0.35884824,0.32464182,0.29998526,0.28819028,0.290588,0.30914077,0.34133327,0.37941003,0.41249084,0.4420676,0.47758198,0.526301,0.5710721,0.5840885,0.54607177,0.4709787,0.39097485,0.336642,0.31610742,0.32115838,0.33777568,0.35584357,0.3683844,0.3686593,0.3502902,0.31072676,0.25441024,0.19153309,0.13386677,0.09208101,0.07556035,0.09227226,0.14290069,0.21698499,0.29368886,0.3547708,0.3908187,0.40363598,0.39694515,0.37726378,0.3528169,0.3358588,0.33491966,0.35190606,0.3816147,0.41609904,0.44745103,0.46894988,0.47866437,0.47947598,0.47875476,0.48171493,0.49076685,0.5041799,0.5200686,0.5354385,0.5481703,0.55589604,0.55733424,0.5511062,0.5368336,0.515725,0.49019977,0.46258244,0.433566,0.40454444,0.37795305,0.3574549,0.3446826,0.33893535,0.33750072,0.33636305,0.33033952,0.3138373,0.28542712,0.25057593,0.22090288,0.20608361,0.20746648,0.21667051,0.2221877,0.21691246,0.2017679,0.1827959,0.16466863,0.14691514,0.1262333,0.10290661,0.084770255,0.083383374,0.10557604,0.146302,0.19039486,0.22094296,0.22906826,0.21767324,0.19790338,0.18139733,0.17351492,0.17233242,0.17316543,0.17477842,0.18034379,0.19249076,0.2068156,0.21237125,0.19903,0.16608116,0.124257974,0.09039929,0.07996723,0.09892309,0.14139786,0.19059741,0.22955905,0.24868095,0.2504321,0.24284947,0.23396647,0.22759171,0.22417086,0.22252609,0.22071517,0.21696918,0.20889442,0.19521613,0.17726415,0.16180356,0.15794027,0.17068738,0.19470412,0.21658437,0.22428705,0.2146325,0.19374216,0.17011543,0.150425,0.13721712,0.13096458,0.12990557,0.13218798,0.13677907,0.14435743,0.15545817,0.1680662,0.17815971,0.18097085,0.17364794,0.1550514,0.12743267,0.096437335,0.070728086,0.058100704,0.062625274,0.08399743,0.11776775,0.15592162,0.18655379,0.19932753,0.1904344,0.1668378,0.14147504,0.12619396,0.12509054,0.13363107,0.14388232,0.1505359,0.15496032,0.16153075,0.17306836,0.18736595,0.20034629,0.20915979,0.2139644,0.21574737,0.2147138,0.21011789,0.20118856,0.18890327,0.17620988,0.16822033,0.16812234,0.17494167,0.18188024,0.18157156,0.16944815,0.14687952,0.11844472,0.090198435,0.066429734,0.049035072,0.037058394,0.028767569,0.023574911,0.02370022,0.033547256,0.057163667,0.094041556,0.1365859,0.17241192,0.1913928,0.19227804,0.18186341,0.16867273,0.1557626,0.14191604,0.12524678,0.10764083,0.091839194,0.07947489,0.06904726,0.05905926,0.04981039,0.04484287,0.048636507,0.063528515,0.086980246,0.11239046,0.13261081,0.14340377,0.14386316,0.13483976,0.117701314,0.095565595,0.07415823,0.060604483,0.059036717,0.06729621,0.07755795,0.081368364,0.07551748,0.064712174,0.059407543,0.06982822,0.0990718,0.140693,0.18155974,0.20975755,0.21934234,0.21198566,0.19406669,0.17438029,0.16070718,0.15743715,0.16552149,0.18537645,0.21847503,0.2630924,0.31014717,0.3454558,0.36084613,0.3601372,0.35512224,0.3544893,0.3593903,0.36699542,0.37512708,0.38297796,0.38866904,0.3894684,0.38352218,0.37119043,0.35467085,0.3360006,0.31701994,0.29837278,0.28132507,0.26711762,0.25802732,0.2543509,0.25571918,0.26347294,0.2876347,0.34093276,0.42636395,0.5211707,0.58858377,0.60119843,0.5657875,0.5130874,0.4748297,0.4616295,0.4665015,0.47752225,0.4883128,0.4978101,0.5051885,0.50769585,0.50157416,0.4858081,0.46107462,0.42770672,0.38278028,0.32433236,0.2555639,0.18681698,0.13143255,0.10139083,0.105689086,0.14732921,0.22057074,0.3072776,0.38309386,0.4248371,0.42077956,0.37418482,0.30579942,0.2480099,0.23153369,0.26820323,0.3427343,0.4230541,0.48078203,0.5092805,0.52115536,0.53408927,0.55335975,0.5719077,0.5794253,0.5743303,0.56319785,0.55415916,0.54827887,0.54153895,0.53021723,0.52197033,0.5283721,0.55567735,0.58719474,0.5980892,0.57168,0.52006346,0.46698654,0.43120018,0.41212666,0.40309802,0.39955857,0.4033307,0.41472945,0.43187046,0.45021212,0.4657911,0.47396374,0.47087446,0.45304635,0.4185246,0.36667454,0.30028388,0.22699721,0.16058555,0.117940955,0.11484966,0.15623887,0.23211582,0.3176923,0.38863078,0.4316087,0.45001122,0.45351827,0.4511436,0.4475522,0.44648835,0.45072997,0.45981753,0.46953937,0.47547507,0.47809556,0.4827447,0.49434268,0.51248056,0.5302591,0.53977567,0.53671366,0.5239195,0.50807434,0.49367598,0.480781,0.4695338,0.46922478,0.49127898,0.5355498,0.57828814,0.58948916,0.5554695,0.49210563,0.42806685,0.38472846,0.3651793,0.36190262,0.36699417,0.37789002,0.39490208,0.41676506,0.43837667,0.45280764,0.4543825,0.44057488,0.41123495,0.36864448,0.31808057,0.26808092,0.22701253,0.20028688,0.19079144,0.20233785,0.23586516,0.2832072,0.32431647,0.34073123,0.32694486,0.29384765,0.25707397,0.23095511,0.22626503,0.24914949,0.29563043,0.3487146,0.3899376,0.41027734,0.41815278,0.4259852,0.44190583,0.46093467,0.47454226,0.4761349,0.4681668,0.45834255,0.45357892,0.45495272,0.4592508,0.46763706,0.48770186,0.5249912,0.5691342,0.5939885,0.5769996,0.51900345,0.44574678,0.38768372,0.36049283,0.360159,0.3730134,0.3887571,0.40707317,0.435021,0.47600093,0.52016973,0.54595286,0.5344433,0.48339698,0.40858355,0.33368233,0.27947268,0.2588177,0.27397928,0.31624773,0.36857748,0.41352692,0.43893576,0.43947062,0.4150094,0.3697497,0.31197968,0.2524673,0.20333396,0.17719571,0.18341857,0.2231869,0.2841473,0.34701732,0.39383435,0.41913792,0.4262009,0.42226896,0.40988305,0.38925925,0.36074886,0.3296684,0.30519605,0.29798976,0.3117549,0.34109366,0.37345532,0.40600964,0.4444412,0.49649015,0.54894835,0.5788131,0.5678525,0.5262721,0.47860596,0.44857404,0.44075504,0.4481536,0.46034825,0.4726915,0.48444065,0.4953766,0.5035622,0.50566363,0.49890873,0.48062935,0.4486227,0.40198478,0.34386882,0.2819121,0.22525066,0.18179204,0.15736417,0.15839134,0.18693447,0.2362998,0.28699148,0.32013175,0.32800856,0.31980434,0.30888584,0.30384263,0.30580762,0.31528592,0.33370647,0.3600491,0.387486,0.40856603,0.42329565,0.43976998,0.4655591,0.4979042,0.52611023,0.5394513,0.53613466,0.5219273,0.50593144,0.4921272,0.47952518,0.46635035,0.46157756,0.47732887,0.516372,0.5560551,0.5667086,0.53354245,0.47349045,0.41670322,0.3853869,0.38111046,0.39309487,0.40960225,0.4247369,0.43770632,0.44886383,0.45634547,0.45623824,0.44508168,0.422084,0.38807794,0.34483412,0.2959294,0.24793833,0.20851566,0.18353398,0.17695256,0.19188452,0.22659516,0.26996824,0.30197665,0.30793133,0.2880788,0.2578937,0.23290242,0.22018206,0.21888477,0.22924285,0.2542199,0.2942432,0.3402046,0.3788884,0.40233254,0.4168955,0.43333185,0.45724335,0.47906974,0.4859488,0.47070482,0.4441532,0.42201674,0.41583252,0.4197687,0.42897227,0.44690037,0.4869853,0.5445934,0.59141034,0.5920028,0.5370297,0.45147577,0.37367463,0.32905424,0.31917214,0.3318241,0.35370982,0.37788215,0.40280795,0.4276571,0.44941306,0.461349,0.45662293,0.431355,0.38774312,0.33314916,0.27775133,0.23139925,0.20086013,0.18916017,0.19710177,0.22380264,0.26425794,0.30542794,0.33047274,0.3282353,0.30129582,0.26208723,0.22468138,0.1995339,0.19484164,0.21475954,0.2573494,0.3110515,0.36375308,0.40587506,0.43743417,0.45940349,0.47534403,0.48479792,0.48758337,0.4819349,0.46977207,0.45706502,0.44915307,0.44695607,0.44606388,0.4499872,0.46773663,0.50676984,0.5516414,0.573688,0.5490629,0.48468554,0.40930906,0.35350767,0.32787344,0.32543683,0.3350325,0.3534656,0.38753295,0.44259715,0.5121573,0.57017356,0.58619446,0.54277223,0.45225725,0.34617376,0.258804,0.2096587,0.20175165,0.22645128,0.26964986,0.3187058,0.36261323,0.3939626,0.40572086,0.39553165,0.36537278,0.32162115,0.2709738,0.22184283,0.18748541,0.18486972,0.22530742,0.30393374,0.3986869,0.48193753,0.5334111,0.54729176,0.527062,0.48075458,0.4155705,0.33979273,0.26180825,0.19113131,0.13512519,0.09743885,0.07653371,0.067883305,0.06723478,0.07221871,0.081526555,0.09263135,0.102148406,0.107482724,0.1086841,0.10757635,0.10614521,0.1054869,0.10610195,0.10864732,0.11453418,0.12669373,0.14798851,0.17834556,0.21133538,0.23702125,0.24776633,0.24395023,0.23223196,0.22010846,0.21132721,0.20566094,0.20191449,0.19969684,0.1998983,0.202599,0.20672269,0.2101019,0.2117496,0.21183844,0.21151565,0.21099158,0.20944946,0.20520978,0.1974942,0.18756223,0.17898332,0.17560683,0.17928147,0.18815891,0.19781108,0.20328043,0.20212205,0.19501542,0.18506648,0.17498748,0.16617745,0.15863705,0.1527379,0.14916916,0.1489514,0.15213653,0.15823399,0.16593605,0.17419489,0.18166392,0.18686582,0.18702222,0.17957382,0.16378224,0.14314882,0.123817764,0.112273544,0.11311901,0.1291768,0.16051315,0.2020074,0.24288015,0.27022716,0.27532506,0.2562754,0.21779157,0.1682908,0.11833014,0.07766574,0.05377836,0.0509634,0.069951944,0.106440686,0.14992492,0.18796463,0.21212633,0.22227098,0.22332625,0.22072037,0.21737123,0.21449482,0.2125882,0.21183366,0.21251242,0.21541166,0.22169666,0.23076423,0.2395056,0.24316566,0.2394058,0.22952539,0.21797466,0.20886211,0.20464014,0.20523436,0.20888579,0.21284018,0.21512334,0.21525489,0.2146361,0.21485962,0.2171731,0.22094522,0.22458495,0.22580594,0.2237575,0.2193328,0.21464826,0.21138807,0.20981626,0.21011996,0.21305431,0.21968348,0.22851054,0.23504494,0.23412032,0.22380662,0.20661832,0.18742092,0.17067206,0.15891117,0.15265422,0.15091826,0.15207224,0.15467809,0.15762234,0.15999745,0.1612466,0.16161115,0.16174412,0.16244195,0.16448921,0.16877651,0.17479686,0.17929472,0.17791605,0.16973503,0.1608261,0.160395,0.1737955,0.196783,0.21964942,0.23293644,0.2324562,0.21707487,0.18826835,0.14988954,0.10957559,0.0760505,0.056545064,0.0552168,0.07321754,0.107765,0.15120633,0.19358046,0.22695939,0.24877517,0.2601878,0.26290646,0.2573486,0.2433085,0.22251421,0.19919884,0.1800612,0.169832,0.16914362,0.17245293,0.17273168,0.16480981,0.14912707,0.129548,0.1109265,0.0961957,0.086302824,0.08179737,0.08409908,0.09589624,0.117586195,0.14524819,0.1699683,0.18418688,0.1857814,0.17959134,0.17178725,0.1661311,0.16279404,0.16078508,0.15956314,0.1595053,0.16192569,0.16887654,0.18134107,0.19707459,0.20969033,0.21263956,0.2035606,0.18659347,0.16866516,0.15472032,0.14468344,0.13486847,0.12185931,0.10597342,0.091872156,0.085140504,0.08806644,0.09764405,0.10829386,0.11562961,0.11884486,0.11939377,0.11919755,0.11905536,0.11909991,0.11995652,0.12461849,0.13858408,0.16636693,0.20646377,0.24916787,0.28181174,0.2964677,0.29465774,0.2846378,0.27566135,0.27306667,0.27717558,0.28514266,0.29383174,0.30149052,0.3070173,0.30921695,0.3069273,0.30064806,0.29219317,0.2835506,0.2755213,0.2684783,0.26287994,0.25911692,0.256798,0.25544393,0.25506648,0.25557327,0.2553812,0.25183386,0.243903,0.23359044,0.22491075,0.220457,0.22020583,0.22224747,0.22499876,0.2278689,0.23054276,0.2321573,0.23153467,0.22849804,0.2240567,0.2195651,0.21531194,0.21145265,0.2092516,0.2115373,0.21983512,0.23225315,0.24391711,0.25092852,0.25325897,0.25431338,0.2569776,0.2606537,0.26111862,0.2544775,0.24000157,0.221085,0.202272,0.18739443,0.17862679,0.17723306,0.18308927,0.19427317,0.20694108,0.21715374,0.22208214,0.22154516,0.21712358,0.21158342,0.2063203,0.2003724,0.18994457,0.17125046,0.14372963,0.11326026,0.09095194,0.08948799,0.115100384,0.1629674,0.21648765,0.256858,0.27273157,0.26540133,0.24309762,0.2130089,0.17830287,0.14101474,0.10691375,0.08495023,0.08436676,0.10832635,0.15157133,0.20068717,0.24159396,0.26562032,0.2723733,0.2652367,0.24779648,0.22283797,0.19454199,0.16885303,0.1524619,0.15150307,0.16931213,0.20378707,0.24494247,0.27916652,0.2956293,0.292577,0.27485856,0.24940713,0.21996401,0.18810107,0.15555371,0.12770037,0.11320285,0.11942669,0.14706795,0.18696652,0.22632034,0.2551143,0.2721646,0.28084385,0.28513047,0.28461763,0.27664027,0.25829107,0.2313041,0.20268786,0.18390755,0.18414254,0.20502883,0.23836768,0.27155724,0.29403427,0.3012986,0.2931306,0.2713526,0.23842342,0.19914888,0.16111124,0.13472788,0.12941378,0.14920735,0.18864931,0.23490773,0.27449742,0.30041716,0.31355068,0.31841168,0.31851593,0.3147988,0.30769846,0.29868662,0.2903016,0.28459236,0.28228572,0.2831825,0.28591776,0.28834662,0.28721476,0.2806336,0.2685051,0.25286278,0.2357887,0.21906112,0.204625,0.19476299,0.19212802,0.19824506,0.21412714,0.23896213,0.27032512,0.3023597,0.328441,0.34352815,0.3479705,0.34589458,0.3424951,0.3406491,0.34104022,0.34378627,0.34928492,0.35753,0.36671126,0.3741195,0.37818995,0.37983084,0.38106593,0.38276073,0.38386297,0.38172734,0.37325513,0.35556722,0.32974514,0.30195156,0.2822465,0.27588645,0.2800741,0.28543505,0.28523156,0.2787217,0.27027455,0.2639619,0.26158002,0.26208344,0.26339063,0.26376116,0.26400498,0.26800868,0.2800256,0.30058625,0.32367373,0.3407651,0.34589744,0.33913407,0.3239349,0.30378416,0.28131616,0.2585409,0.23867019,0.22541249,0.22405761,0.23825581,0.26749697,0.30374935,0.33474806,0.34882975,0.33998656,0.30894205,0.26258442,0.21197887,0.16839842,0.13960434,0.1283414,0.13369764,0.1522028,0.17710902,0.19951332,0.21157949,0.21133591,0.20329268,0.19554563,0.1948662,0.2029993,0.21623893,0.22735356,0.23147005,0.22905822,0.22720228,0.23322171,0.2511373,0.27800187,0.3075167,0.33241442,0.34869793,0.3559935,0.35672644,0.3538258,0.34912893,0.3437004,0.3379111,0.33195534,0.32477105,0.3135983,0.29494682,0.267498,0.23584068,0.20902579,0.19644429,0.20025446,0.21527709,0.23132336,0.24118488,0.2413766,0.23235936,0.21436495,0.18960291,0.16353236,0.14634608,0.14842393,0.17407767,0.21736808,0.2630678,0.29411173,0.29786146,0.2716934,0.22234328,0.16511081,0.116850525,0.08988925,0.08664399,0.102017425,0.12749745,0.15448564,0.17552245,0.18594033,0.1858607,0.17991121,0.17472358,0.17690907,0.19062816,0.2168743,0.2509665,0.28579375,0.31372538,0.3316895,0.339532,0.34008732,0.33643767,0.33203626,0.32935342,0.3291683,0.33081678,0.3326234,0.33313993,0.33032942,0.32280883,0.3108299,0.29861134,0.29165062,0.29274723,0.29762653,0.29828355,0.28867328,0.27056435,0.251001,0.23790741,0.23500855,0.24246216,0.2572224,0.27522048,0.29112223,0.30012473,0.29637346,0.27503648,0.23408042,0.18005507,0.12661968,0.089435644,0.07785064,0.09197254,0.12397013,0.16185729,0.19462347,0.21686338,0.23104179,0.24467559,0.2636074,0.28766087,0.3106983,0.32691762,0.33460596,0.3360294,0.33290038,0.3243387,0.3095287,0.29038963,0.2722329,0.25990638,0.2552273,0.25622156,0.25872853,0.25908005,0.2548293,0.24591969,0.23374021,0.2215228,0.21233769,0.20765029,0.20604117,0.20485902,0.20273031,0.20094006,0.2017905,0.20586343,0.21043833,0.21168943,0.20822799,0.20304795,0.20099068,0.2043178,0.21084654,0.21617998,0.21760209,0.21553363,0.21222048,0.2096538,0.20867455,0.20931278,0.21119495,0.21380581,0.21661918,0.21957588,0.2230016,0.22707902,0.23120739,0.2343462,0.23591012,0.23576075,0.2337159,0.22887158,0.22040278,0.20875199,0.19680603,0.19048168,0.19546147,0.21356668,0.23819064,0.2592229,0.2685106,0.26666546,0.25899518,0.25137386,0.24566756,0.2416652,0.23844542,0.23543613,0.2319528,0.22765715,0.22307587,0.21935017,0.21748708,0.21855278,0.22441524,0.23742731,0.25766745,0.28113055,0.2999531,0.3072227,0.30018234,0.28289044,0.2621948,0.24458653,0.23223019,0.22578211,0.22623901,0.23587167,0.254135,0.27550912,0.29054594,0.29153386,0.27774063,0.25727132,0.24306248,0.24440245,0.26128417,0.28342864,0.298148,0.2956489,0.27539283,0.24431401,0.21717554,0.20803124,0.22419484,0.25881466,0.29689726,0.3244965,0.33783087,0.34142044,0.34124696,0.33978915,0.33597592,0.32903466,0.31996682,0.3119271,0.30760065,0.30780682,0.31049132,0.31275988,0.31250703,0.30914626,0.30180272,0.28892317,0.26946014,0.24520417,0.22083701,0.20236604,0.19495921,0.20066686,0.2163351,0.23356359,0.2430116,0.24067487,0.22991444,0.21746148,0.20721231,0.19942005,0.1941125,0.19378297,0.20065175,0.21189654,0.21893953,0.21312968,0.19387104,0.17222552,0.16482025,0.18234801,0.22107959,0.26632214,0.3032749,0.32599926,0.33723304,0.34282672,0.34636655,0.34760273,0.34198368,0.3240626,0.2913448,0.24990334,0.21294284,0.19533221,0.20474745,0.2372182,0.27908897,0.31447577,0.3338517,0.3366003,0.32679203,0.30702546,0.2772595,0.23966396,0.20205289,0.17621206,0.1708836,0.18624063,0.21242522,0.23393343,0.23749967,0.21926183,0.18768471,0.15918489,0.15115078,0.17271297,0.2204458,0.27849343,0.3281243,0.35780776,0.36847004,0.3681905,0.36387983,0.35695055,0.34588885,0.3307456,0.31468412,0.30131522,0.2918339,0.28489897,0.279708,0.27806392,0.2829732,0.29494238,0.31009245,0.32284334,0.33015704,0.33387616,0.33809415,0.34554514,0.35507664,0.3631318,0.36601388,0.36256373,0.3545278,0.34595892,0.34048977,0.33955553,0.34145758,0.34338084,0.34315518,0.34052515,0.33661425,0.33285686,0.3304361,0.32921806,0.32833,0.32599917,0.32145956,0.31488648,0.30792674,0.30204388,0.29808834,0.29587904,0.29500642,0.29514048,0.29586503,0.29652226,0.29608747,0.29342026,0.28750527,0.27832898,0.2674882,0.25731045,0.24918245,0.24286598,0.23786558,0.23464076,0.23362477,0.23408866,0.23394282,0.23195694,0.22776449,0.22164004,0.21333767,0.20405298,0.19652961,0.19392769,0.19573826,0.19823772,0.1977082,0.19495958,0.19387369,0.19721597,0.2048871,0.21554637,0.229008,0.24386053,0.2571967,0.2657133,0.26935983,0.27029398,0.27036002,0.26933077,0.26605955,0.2601641,0.253036,0.24744707,0.24646364,0.2509974,0.25957322,0.2696708,0.28042614,0.2922726,0.3051552,0.31735516,0.3269169,0.3326302,0.33378688,0.3286076,0.31601098,0.29722083,0.27772984,0.26397422,0.2615484,0.27169862,0.29216895,0.31603292,0.3352947,0.34318897,0.3381863,0.32289615,0.30178264,0.278221,0.2538981,0.23026957,0.20971261,0.19612138,0.1935892,0.20413919,0.22529511,0.24865681,0.2629054,0.25917146,0.23731463,0.20669217,0.1824894,0.17828679,0.19948922,0.23994564,0.28433502,0.31626013,0.32624754,0.31560025,0.29265407,0.2676188,0.24763125,0.23640938,0.23523547,0.24511214,0.26607966,0.29551232,0.32649985,0.35060588,0.3612701,0.35750735,0.34292403,0.32462326,0.30980024,0.30384362,0.3074173,0.31599537,0.3216007,0.3173675,0.30185947,0.27975225,0.2592519,0.24720699,0.24697287,0.2569594,0.27245903,0.28615853,0.29118285,0.28282908,0.26134288,0.23180415,0.20234382,0.18105036,0.17419733,0.18511404,0.21307886,0.25099722,0.2875298,0.3116431,0.31986728,0.31601995,0.30728474,0.2971305,0.28474316,0.2676328,0.24607062,0.22325997,0.20403768,0.19338803,0.1960544,0.21488093,0.24756722,0.28632072,0.32030177,0.34171352,0.3474841,0.34021506,0.32512572,0.30981854,0.30068338,0.30109242,0.3082671,0.3158383,0.31694752,0.3087578,0.292478,0.27313825,0.2571889,0.25160214,0.25984243,0.28052878,0.30644265,0.33042252,0.34834647,0.36148706,0.3714218,0.37800527,0.37825158,0.3703668,0.35520938,0.33611932,0.31588152,0.29493964,0.2721518,0.24715316,0.22265793,0.20366228,0.19567208,0.20194198,0.22164606,0.24904837,0.27517706,0.29347768,0.30312157,0.3091687,0.31573376,0.32343963,0.32856026,0.3285009,0.32300356,0.31585905,0.3117468,0.3145431,0.32389942,0.3356184,0.34406522,0.3460333,0.34216425,0.33497623,0.3268447,0.3191193,0.31320632,0.310114,0.30984938,0.31060156,0.31020883,0.30698657,0.3004133,0.29032972,0.27717498,0.26280507,0.251076,0.24697022,0.25305924,0.2672778,0.28321254,0.2952135,0.3017589,0.3051915,0.30683884,0.30496833,0.2965206,0.28204393,0.2666975,0.25865522,0.26339924,0.28111517,0.30456617,0.32425782,0.33279347,0.33092353,0.3248651,0.32231227,0.32548565,0.3313677,0.33481407,0.33437702,0.33220568,0.33027557,0.3250527,0.3094475,0.27871042,0.23744811,0.19815023,0.17519887,0.1767842,0.20069559,0.23571593,0.26647106,0.283277,0.28545415,0.28097215,0.2764189,0.27281466,0.26428345,0.24645476,0.22105457,0.1982894,0.18837546,0.1956699,0.21394157,0.23278718,0.2420121,0.23726435,0.21922857,0.19309974,0.16492929,0.13824092,0.11366085,0.091908835,0.078891665,0.08399544,0.11357639,0.1629412,0.21645634,0.25564715,0.26882026,0.25638232,0.22778654,0.19606589,0.17064367,0.15565814,0.15075894,0.15598719,0.1713927,0.19450052,0.2156197,0.22225332,0.20647167,0.17272079,0.13496841,0.109814934,0.10766993,0.12953751,0.16717833,0.20778798,0.24026561,0.2598729,0.26851308,0.27036467,0.26854235,0.26354575,0.25565296,0.24540532,0.2349412,0.22583145,0.2192695,0.21362056,0.2068934,0.19834305,0.1923899,0.19512762,0.20915516,0.22883563,0.2442291,0.24763787,0.23796041,0.21869384,0.19515981,0.17239821,0.15487835,0.14434373,0.13996018,0.13935079,0.14258642,0.15104268,0.1655602,0.18207623,0.19431597,0.19594668,0.18479879,0.16153824,0.13072234,0.09969351,0.0787982,0.07625415,0.09501622,0.12916145,0.16752978,0.19663854,0.20771678,0.1989975,0.1774795,0.15482427,0.1417505,0.1423871,0.15241662,0.16366307,0.1705265,0.17422676,0.1804831,0.19359358,0.21263026,0.23173648,0.24513972,0.25075075,0.25120136,0.25077108,0.25223842,0.2548308,0.25487795,0.24794953,0.23284258,0.21248151,0.19239552,0.17512919,0.15930831,0.14128406,0.1201036,0.097866386,0.077953,0.06194143,0.04937275,0.039401818,0.03317092,0.03481626,0.049549967,0.07946923,0.1198251,0.15986381,0.18811084,0.19861917,0.19339232,0.18040489,0.16911602,0.16615115,0.17299229,0.18658042,0.20251584,0.21751474,0.22955084,0.2356581,0.23186743,0.21484436,0.18588425,0.15172745,0.12377714,0.111851655,0.11939929,0.1404805,0.16470526,0.18287595,0.1908,0.18731408,0.1721149,0.14646058,0.11566925,0.08945189,0.07635254,0.077832915,0.085819155,0.08910808,0.08159235,0.068136476,0.06144921,0.07389753,0.108542085,0.15633862,0.20111156,0.22851913,0.2330185,0.21839924,0.19417052,0.17037761,0.15419315,0.14842035,0.15398985,0.17304744,0.20901008,0.25951624,0.31221616,0.34905028,0.36053896,0.35181257,0.33736828,0.32790765,0.32590556,0.32899097,0.3349937,0.34265485,0.3494922,0.35246435,0.34926584,0.34036592,0.32730368,0.31184438,0.29457673,0.2762237,0.25787023,0.2413935,0.22839475,0.21886571,0.21232183,0.21150844,0.22702222,0.27089497,0.34278747,0.41911253,0.46505544,0.4605668,0.4173573,0.3689781,0.34443435,0.3516645,0.38012493,0.41442573,0.44376537,0.46251786,0.46846774,0.46049047,0.44060382,0.41326657,0.38417625,0.35452485,0.31983122,0.27324092,0.21410646,0.150894,0.09861217,0.071654506,0.08009624,0.12481614,0.19464362,0.26620248,0.31488237,0.3267589,0.30449697,0.26256785,0.22084449,0.2003879,0.21570808,0.26723814,0.33703673,0.4019697,0.44657174,0.47254336,0.4891827,0.5055607,0.5230466,0.53869915,0.5481791,0.54985315,0.5451873,0.5382765,0.53105825,0.5247038,0.51809365,0.5172046,0.52637464,0.5470899,0.5634317,0.55804133,0.52135295,0.46774864,0.41863945,0.38888922,0.37486145,0.36688134,0.3590103,0.35449553,0.3579339,0.3711101,0.39054558,0.41155097,0.42923346,0.43925998,0.43609706,0.41316828,0.3663496,0.2979674,0.21948504,0.14888053,0.10549546,0.10392622,0.14470308,0.2115971,0.2741959,0.30895516,0.31164885,0.30113038,0.2986959,0.31440905,0.34220946,0.37174535,0.39653417,0.4155079,0.429054,0.43658626,0.4391729,0.4398868,0.44338155,0.45109448,0.46044385,0.46598196,0.46346125,0.45405123,0.44204226,0.4319869,0.4243033,0.4214885,0.43136215,0.46161532,0.50651914,0.5413592,0.54098105,0.49863955,0.43509898,0.37829307,0.34628618,0.33645177,0.33681342,0.33667907,0.33577475,0.3404075,0.35598442,0.38047203,0.40540394,0.42212513,0.42471027,0.4098706,0.37588096,0.3263432,0.27182204,0.22602205,0.1986522,0.19337232,0.2105536,0.2462179,0.28851786,0.31779444,0.31983602,0.29503632,0.25799966,0.22386049,0.20190401,0.19633144,0.20851646,0.23539925,0.26736185,0.29605854,0.31990704,0.34467602,0.37268004,0.39893115,0.41466454,0.41719022,0.4130908,0.41315722,0.42519394,0.44645825,0.46765748,0.47825184,0.4808468,0.48727798,0.50923723,0.53949755,0.55553997,0.5372054,0.48496237,0.42027798,0.36741292,0.34062502,0.33873144,0.35358867,0.37610713,0.4033737,0.43790472,0.48066345,0.52242756,0.5419782,0.5214307,0.45856455,0.37372342,0.29509664,0.24755435,0.24059238,0.26923516,0.31650758,0.36321282,0.39553878,0.40800413,0.39931452,0.36960828,0.32136083,0.2620506,0.20351034,0.15864934,0.13928907,0.15113537,0.19124313,0.24548177,0.29787463,0.33745122,0.3640051,0.380296,0.38759682,0.3825902,0.3637049,0.33333257,0.30008835,0.27500498,0.26966038,0.2872734,0.32194412,0.35999522,0.3973254,0.4370662,0.48408523,0.52439994,0.537867,0.5122261,0.4620172,0.41384146,0.39015636,0.39427128,0.41603518,0.44151294,0.46183825,0.4745389,0.47961423,0.47702372,0.46591032,0.44737136,0.42364308,0.39594617,0.36231813,0.32015654,0.27056995,0.21979882,0.17732386,0.15272026,0.15479665,0.18608154,0.23889273,0.2935017,0.3324255,0.35006142,0.35636452,0.3620346,0.37149286,0.38197753,0.39305976,0.40759036,0.42800474,0.45057318,0.46791515,0.47627488,0.47889745,0.4829752,0.49121,0.50192434,0.5115864,0.52087975,0.53055364,0.53829414,0.535586,0.51703817,0.4874083,0.4659609,0.46926865,0.49742016,0.52447027,0.5220604,0.47828755,0.41141108,0.3494756,0.3131021,0.3035061,0.3112168,0.32636967,0.34375563,0.3630501,0.38308215,0.40217125,0.41529635,0.41894737,0.4098374,0.38779488,0.3537142,0.31187585,0.26913902,0.23343305,0.21092868,0.20532154,0.21916598,0.2497925,0.2862219,0.30960748,0.30841067,0.28652894,0.26216307,0.24951762,0.25069705,0.25693455,0.26012066,0.2570929,0.24936734,0.24086417,0.23869123,0.25171274,0.28535527,0.33554533,0.38914216,0.4316337,0.45580855,0.46551505,0.47181964,0.4828862,0.49816513,0.5087642,0.51227397,0.51567274,0.52967143,0.5492954,0.5530036,0.5195468,0.44771668,0.3625717,0.2952441,0.2661315,0.27175948,0.2959906,0.32092634,0.33931783,0.3534044,0.369987,0.39204362,0.41491532,0.42862102,0.42443395,0.4001892,0.35932103,0.30857053,0.2560853,0.21231543,0.18730314,0.18801586,0.21396698,0.25632396,0.29831743,0.32258013,0.32033008,0.29636458,0.26324344,0.23169987,0.20753133,0.19586788,0.20420714,0.23702087,0.28957117,0.34891072,0.4035119,0.44937575,0.4876027,0.5181512,0.53797096,0.5450508,0.54165417,0.5335713,0.5271211,0.5230646,0.5185203,0.5084174,0.49841037,0.49887738,0.5190143,0.54800147,0.5638823,0.5467265,0.4984332,0.43813848,0.38882592,0.36237347,0.3575522,0.3668729,0.38459197,0.41030565,0.4449458,0.48362932,0.51217145,0.51371604,0.48239073,0.42936054,0.3766248,0.34104607,0.3280999,0.33417594,0.35482407,0.38542834,0.41898656,0.4450223,0.45334935,0.43935096,0.40656602,0.36517486,0.32672504,0.29883114,0.28346518,0.28098232,0.29296586,0.3222444,0.36527085,0.41134217,0.44482207,0.4572891,0.44893113,0.4270537,0.396042,0.35747376,0.3115241,0.26162177,0.21233582,0.16772307,0.12981184,0.09977639,0.0778356,0.06306667,0.053421047,0.046867114,0.04222709,0.03900009,0.03683117,0.0351019,0.03336897,0.031481847,0.02973581,0.028323824,0.027520353,0.027989356,0.031679172,0.040909037,0.056216944,0.07365003,0.08584533,0.08626778,0.07423887,0.05515848,0.036647435,0.023598561,0.016711682,0.013977676,0.0131032765,0.01266292,0.012102061,0.011375782,0.010605237,0.009937715,0.009396168,0.008923418,0.008452244,0.007958367,0.007477172,0.007016819,0.006702484,0.0071651093,0.009981282,0.017340826,0.030151024,0.046296414,0.060459,0.06721985,0.06405317,0.05281086,0.037847746,0.023740752,0.013267062,0.0072842687,0.0054713227,0.007767881,0.014561248,0.025799021,0.039605875,0.052723963,0.062241644,0.06733341,0.069145195,0.069484614,0.06963647,0.06998548,0.07038347,0.07061869,0.07105227,0.07276805,0.07645822,0.08099236,0.082598455,0.07737917,0.06403243,0.045749724,0.027760169,0.014357052,0.00661609,0.0032207656,0.0020928395,0.0017679167,0.0015980395,0.0014263076,0.0012499971,0.0010811082,0.0009278325,0.0007980258,0.0006898627,0.00059889327,0.0005204474,0.00045892052,0.0004209969,0.00089422567,0.0033439256,0.01054722,0.02451093,0.044117045,0.06347092,0.07513671,0.07438483,0.062412437,0.044646252,0.027272932,0.014190457,0.00632735,0.0027717676,0.0024031627,0.005242819,0.012154308,0.02357559,0.03802018,0.052499052,0.064017035,0.071330845,0.07496374,0.076397546,0.07694128,0.07724919,0.07737162,0.07716172,0.0770772,0.07792777,0.08005258,0.0817708,0.0799801,0.07196307,0.05787143,0.04077741,0.024906203,0.013171103,0.006171703,0.002785609,0.001422383,0.0009186458,0.0007029951,0.00058703515,0.0005244037,0.00049933273,0.0005545984,0.0010919136,0.0031349573,0.008384453,0.017891759,0.030812435,0.043426532,0.051638335,0.053666234,0.052618846,0.053318154,0.058345318,0.06439039,0.06559778,0.058125302,0.043787044,0.027719177,0.0147283515,0.0066040694,0.0027181532,0.0018830387,0.0038759485,0.009555629,0.019560529,0.032938868,0.046909694,0.05849619,0.066187665,0.070490904,0.07267522,0.07367259,0.07373059,0.07296199,0.07183213,0.07121048,0.072486214,0.0766418,0.083455384,0.09014542,0.09266006,0.08749553,0.07434014,0.056022555,0.03716246,0.021708874,0.011471952,0.006234026,0.0050727148,0.007998068,0.015796378,0.02873003,0.04480933,0.060437948,0.07219517,0.07890121,0.08138201,0.08135715,0.0800819,0.078196846,0.07614151,0.0748403,0.07621058,0.08238307,0.09412253,0.108615875,0.120005466,0.12171214,0.11077841,0.089381136,0.06443923,0.04402927,0.034748342]