[0.0005156596,0.0017985374,0.0065288716,0.01748839,0.036138646,0.060572207,0.085323445,0.10472522,0.11587294,0.12002467,0.12023816,0.11929622,0.11827736,0.11719323,0.11569824,0.11367634,0.1113576,0.109233916,0.10789222,0.10776028,0.10868146,0.10998413,0.11066317,0.11025303,0.10877833,0.106811464,0.1046714,0.102669604,0.100972004,0.099984586,0.09983229,0.10028357,0.100734,0.10077557,0.10046809,0.100147136,0.10008776,0.10023018,0.10039195,0.10030588,0.099740595,0.09831223,0.09565907,0.09174331,0.087248586,0.08332246,0.08083791,0.07976378,0.079378955,0.07902414,0.07870344,0.07897783,0.080276184,0.08228453,0.08388276,0.084027626,0.08253024,0.08027134,0.07831981,0.07719033,0.07665276,0.076242656,0.07569908,0.075034715,0.07430744,0.07367167,0.07366589,0.075697154,0.081299454,0.09090859,0.10266159,0.11338978,0.12053078,0.12356681,0.1236658,0.12233478,0.120647065,0.118913524,0.11701148,0.11457782,0.11148063,0.10802571,0.10484952,0.10272344,0.102083914,0.10295782,0.104542285,0.10575806,0.1055227,0.10369319,0.100738354,0.09764858,0.09514886,0.09371042,0.09338642,0.093946606,0.09504878,0.09634449,0.097715,0.09898222,0.09989942,0.10007154,0.099327855,0.09791682,0.09634838,0.09492933,0.09329917,0.09076146,0.08720747,0.08367014,0.08183045,0.08242812,0.084762454,0.08707283,0.08819459,0.08804945,0.08766941,0.08802908,0.08943388,0.09110698,0.09192631,0.091138385,0.08901548,0.08647146,0.084397204,0.082951784,0.081683144,0.079970896,0.07755783,0.07443136,0.07099131,0.06806222,0.06736627,0.0704068,0.07754763,0.08678133,0.09522415,0.10053319,0.10253342,0.10237048,0.10147956,0.10062402,0.099949986,0.09948812,0.09919072,0.099167466,0.09936274,0.09982967,0.10044382,0.10107502,0.10143683,0.10133335,0.10075477,0.099825114,0.09876919,0.09763052,0.09655311,0.0956192,0.09515116,0.09519529,0.095675446,0.096167475,0.09649395,0.096622,0.09677515,0.09697818,0.097113915,0.09687939,0.09598574,0.09416018,0.09126673,0.08750541,0.08382201,0.08170272,0.08254672,0.08633868,0.091793306,0.09711799,0.10177627,0.10644773,0.11239699,0.12013055,0.1292137,0.13850592,0.14664026,0.15251215,0.15577571,0.15779386,0.16155314,0.17101938,0.18836279,0.21234286,0.23707575,0.25510117,0.26061133,0.25378862,0.24033384,0.22896163,0.22617602,0.23350674,0.24711196,0.25987864,0.26460972,0.25677642,0.23674484,0.20923926,0.1812916,0.15881723,0.14493859,0.13914563,0.1387877,0.14022744,0.14142717,0.14191131,0.14283504,0.14468469,0.14714223,0.14864099,0.14784105,0.14431643,0.13971953,0.13714552,0.13978338,0.14851457,0.16156895,0.17537408,0.18708904,0.19529624,0.20031534,0.20286335,0.20420712,0.20533067,0.20747733,0.21095985,0.21591443,0.22176021,0.22835006,0.23498611,0.2406339,0.2440046,0.24541126,0.24716592,0.25213334,0.2611458,0.27249777,0.28387618,0.2944777,0.30524942,0.31664136,0.32746366,0.3340768,0.33296242,0.32163632,0.3014368,0.27662003,0.25399914,0.23877941,0.23257603,0.23231064,0.23367856,0.23409499,0.2344373,0.23676223,0.24203126,0.24851508,0.25344408,0.25493282,0.25405335,0.25374565,0.25672063,0.26288822,0.2698599,0.27501994,0.2777474,0.2794279,0.2818654,0.28548166,0.2887425,0.28923395,0.28568867,0.2793917,0.2736615,0.27148286,0.27318528,0.27623,0.27748886,0.2760122,0.27345252,0.27215132,0.27253821,0.2731267,0.27192226,0.26824066,0.26225495,0.25393122,0.24265534,0.22852634,0.2138955,0.20254828,0.19744764,0.19852333,0.20347424,0.20956284,0.21529758,0.22048134,0.22592895,0.23244713,0.23912843,0.24248087,0.23827998,0.2255735,0.20861147,0.19422264,0.18692254,0.18634188,0.18920803,0.19295211,0.19744931,0.20376341,0.21220405,0.22190519,0.23161727,0.24031226,0.24698198,0.25068554,0.25121477,0.24959356,0.24752027,0.24625655,0.24595113,0.24595885,0.24515146,0.24209803,0.23478593,0.22131878,0.20122029,0.17669632,0.15230332,0.13265947,0.1202907,0.114708245,0.113875784,0.11601456,0.12094315,0.129791,0.14325081,0.15958858,0.17392333,0.18051995,0.17635141,0.16337632,0.14703871,0.13267854,0.12261844,0.11620349,0.11165572,0.10797729,0.10535142,0.10447296,0.105693705,0.10863215,0.11243502,0.1160529,0.11865646,0.11965793,0.11895973,0.11677561,0.11380848,0.11074981,0.10835341,0.1067791,0.10621211,0.106506996,0.10790926,0.11018773,0.11318493,0.11632022,0.11936647,0.121968456,0.123925336,0.1248579,0.124450445,0.122494034,0.11909712,0.114926785,0.1107448,0.10708213,0.10367123,0.10024846,0.09705488,0.095340036,0.096691735,0.10179982,0.109963745,0.118867666,0.12661399,0.1319377,0.13517296,0.13639687,0.1359601,0.13383584,0.13074428,0.12742834,0.124724455,0.12285897,0.121870555,0.12160925,0.122401096,0.12425824,0.12684834,0.1287294,0.12888205,0.1270405,0.1242525,0.12140734,0.118695356,0.11580152,0.11256937,0.10949401,0.106963195,0.10526096,0.104311705,0.10412711,0.10469232,0.10576484,0.1070554,0.10810143,0.108861215,0.10921591,0.10918513,0.10843524,0.10708711,0.10571527,0.105463594,0.106765635,0.10921109,0.11154396,0.113077246,0.11372694,0.114162035,0.11473174,0.11536542,0.11530314,0.11374086,0.11033678,0.1055243,0.100950934,0.09955198,0.10594586,0.12365168,0.15227747,0.18507487,0.21327074,0.2310549,0.23939383,0.2427849,0.2458111,0.25025702,0.2562786,0.26253077,0.2675047,0.26943132,0.26799607,0.2640896,0.2600416,0.2577591,0.2581246,0.26023474,0.26266098,0.26417008,0.26426744,0.2626729,0.25898117,0.25302455,0.2450887,0.23626314,0.22771518,0.22040223,0.21465522,0.21057224,0.20833933,0.2084599,0.2114023,0.2170264,0.22393245,0.2298613,0.23281221,0.23206751,0.22831309,0.2222907,0.21501064,0.20721109,0.20007189,0.19302261,0.18398719,0.17018741,0.15171872,0.13226382,0.11730919,0.11011103,0.10984177,0.11254183,0.11418811,0.11286542,0.10912498,0.10467285,0.10083488,0.09799764,0.09573469,0.09357756,0.09195592,0.09305483,0.10085687,0.11768383,0.14162081,0.16513473,0.18104015,0.18644248,0.18850197,0.20224595,0.24945353,0.3419195,0.47115305,0.5983274,0.6792434,0.68444866,0.6222009,0.52217704,0.42181626,0.34408328,0.29854023,0.28071484,0.281256,0.28935993,0.29841545,0.30565894,0.31008986,0.30937314,0.30012044,0.2813543,0.2567896,0.23329444,0.21625304,0.20752054,0.20668598,0.21401505,0.22915088,0.24956024,0.26922587,0.2828646,0.2891961,0.29243037,0.29929334,0.31169286,0.32429746,0.32485864,0.3071335,0.27437094,0.23992671,0.21356367,0.19796687,0.18844686,0.1809385,0.17400385,0.1686989,0.16603716,0.16625339,0.1691056,0.17446573,0.18284301,0.19517349,0.21244897,0.23397665,0.25689033,0.27641734,0.28941754,0.29577854,0.29869258,0.30126914,0.30503747,0.30924883,0.31232882,0.3131895,0.31210363,0.31080735,0.31132326,0.31465036,0.3199947,0.32476532,0.32615986,0.32288218,0.3195187,0.32722545,0.3612344,0.42758405,0.51471835,0.59085345,0.62223476,0.5903291,0.50892025,0.4178108,0.36720276,0.38603163,0.46493235,0.55672365,0.60737586,0.5859341,0.50041384,0.38520205,0.27843058,0.20311819,0.16212697,0.14586015,0.1418699,0.14217539,0.14483595,0.15314545,0.17359102,0.20684628,0.24416757,0.26655826,0.26238474,0.23385829,0.19853283,0.17125803,0.15768276,0.1531194,0.15197746,0.15141349,0.1517665,0.15412968,0.15882953,0.16551735,0.17433335,0.18710935,0.20568268,0.2292829,0.25262204,0.26899242,0.27394164,0.26784852,0.25464064,0.23865564,0.22259116,0.20617421,0.18905826,0.17244226,0.16228795,0.16825314,0.20383537,0.2777361,0.38575712,0.5015424,0.5878113,0.61346054,0.5739498,0.48984882,0.39419785,0.3134275,0.25896534,0.22928613,0.2179514,0.21933709,0.22892357,0.2414645,0.25116178,0.25476786,0.25364438,0.25211135,0.25262752,0.25310662,0.24884522,0.23727585,0.22124143,0.20728748,0.20080489,0.2016444,0.20451581,0.20449185,0.20161028,0.20214675,0.21359074,0.23988152,0.27599075,0.3096182,0.32669127,0.3221742,0.3021893,0.27917254,0.26097253,0.24788629,0.23565018,0.22137304,0.20563698,0.19073577,0.1787269,0.16952772,0.1623307,0.15629275,0.15239073,0.15150666,0.15344435,0.15555926,0.15529315,0.15187411,0.1473064,0.1445957,0.14644034,0.15424,0.16781992,0.18462078,0.2003783,0.2108772,0.21541975,0.21732807,0.2223515,0.23324414,0.24764068,0.25864378,0.26064178,0.2553359,0.25426564,0.27731144,0.33842298,0.434729,0.5362668,0.6031813,0.6036873,0.5389735,0.44117728,0.36388108,0.34920838,0.40680146,0.5010428,0.5776537,0.59178185,0.53625244,0.43390647,0.32274622,0.23192877,0.17439352,0.14637445,0.13715196,0.13613899,0.13860899,0.14568587,0.16323467,0.19333863,0.22899552,0.25308058,0.25220308,0.22655617,0.19147706,0.16668786,0.16945781,0.21271414,0.29758558,0.40409362,0.48993874,0.5163832,0.47415397,0.39020625,0.3026087,0.23602025,0.19397324,0.16956162,0.15550806,0.14752896,0.14417382,0.14902128,0.17281224,0.22817476,0.3150711,0.40963212,0.4725529,0.47584525,0.42461327,0.35420594,0.30822113,0.31691703,0.38595226,0.4941214,0.5996209,0.6591042,0.64991856,0.5811599,0.48316482,0.3877087,0.3130692,0.26227185,0.22954142,0.20828743,0.19532824,0.1902626,0.19261111,0.20028679,0.21167992,0.2266397,0.24582689,0.26675546,0.28436515,0.29309702,0.2914538,0.28216875,0.27045774,0.26086172,0.25503525,0.2525936,0.2516079,0.25242814,0.25714776,0.27072904,0.29282093,0.316357,0.32622084,0.3134394,0.2800098,0.24027532,0.20712066,0.18641277,0.17563142,0.17084868,0.17053491,0.1769774,0.19394255,0.22229503,0.25695643,0.28831342,0.30822432,0.3146491,0.31078148,0.30060843,0.28564954,0.26647648,0.24508435,0.22638045,0.21549042,0.21528184,0.22456922,0.23954076,0.25505364,0.26622462,0.26943162,0.2647481,0.2564335,0.2510829,0.25277212,0.2605244,0.2694029,0.2755812,0.28202578,0.3014388,0.35066172,0.4367013,0.5427967,0.6306502,0.66077423,0.61893845,0.5273638,0.43506622,0.39152858,0.41957712,0.5013066,0.58759207,0.6276858,0.59751964,0.5103355,0.4018679,0.3085778,0.2504367,0.22890265,0.2319892,0.24289878,0.24715887,0.2401029,0.2290368,0.22878987,0.24785884,0.28161862,0.3136308,0.3312986,0.3316668,0.3218418,0.30735275,0.2900828,0.26902995,0.24569504,0.22370915,0.20583862,0.19235499,0.18131989,0.17145066,0.16234809,0.15458673,0.14842547,0.14391536,0.14100592,0.14002462,0.141849,0.14800766,0.16026612,0.17955983,0.20438671,0.23038685,0.2520594,0.26569748,0.27369598,0.2856976,0.3189908,0.38598898,0.4842558,0.58515996,0.65095586,0.6521938,0.59058374,0.49087754,0.388275,0.30633044,0.25261864,0.22065121,0.2009077,0.18676563,0.176472,0.17000751,0.16743785,0.1678315,0.17014213,0.17309827,0.17553113,0.17697282,0.17748941,0.17872727,0.182577,0.19115065,0.20408396,0.2182907,0.22907788,0.2328788,0.23063634,0.22725904,0.23169328,0.25011447,0.28217527,0.31643972,0.33909324,0.34190562,0.3290347,0.3100121,0.2926902,0.27817917,0.26417246,0.2482592,0.23045635,0.21257333,0.1969949,0.18528736,0.17746013,0.17237176,0.16844185,0.16469143,0.16107975,0.15816338,0.1565666,0.156447,0.15837575,0.16376396,0.17456146,0.1908151,0.209005,0.22323114,0.22874026,0.22485186,0.21448086,0.20250408,0.19417407,0.19406511,0.20379782,0.22039093,0.23774107,0.25124326,0.26070002,0.26913163,0.27832937,0.28696778,0.29148176,0.28873143,0.27779424,0.26009426,0.23940067,0.21930045,0.20248264,0.18953252,0.18105793,0.17728873,0.17765655,0.17958152,0.18008871,0.17834677,0.17674856,0.17909308,0.1873575,0.19995208,0.21303166,0.22290303,0.22807156,0.2290029,0.22733045,0.22409523,0.2189976,0.210382,0.1974458,0.18134974,0.16483434,0.14921136,0.13336106,0.11536345,0.09646228,0.083065845,0.08424219,0.10558584,0.1439253,0.18790992,0.22498143,0.24856173,0.26004553,0.26449537,0.26594865,0.26606765,0.26514408,0.26333678,0.25978154,0.25342393,0.24327774,0.23105842,0.21945602,0.21293838,0.21648164,0.23982953,0.29377732,0.3824437,0.4906366,0.58465207,0.6282928,0.6045542,0.526601,0.428,0.34364402,0.2919079,0.27194467,0.27095985,0.27614436,0.28047445,0.2832559,0.286456,0.29164132,0.2976016,0.30079648,0.29748926,0.28698137,0.27186522,0.25708765,0.24684103,0.24391323,0.24743307,0.25355464,0.2566415,0.2537603,0.24665727,0.24124777,0.24399535,0.25921234,0.28402916,0.30875075,0.318967,0.30832085,0.28142807,0.25260916,0.23236607,0.22375263,0.22236168,0.22343397,0.22361189,0.22216046,0.21924345,0.21631658,0.21518166,0.2181506,0.22610249,0.23761912,0.248541,0.25481257,0.25491765,0.2509055,0.24632125,0.24367158,0.24340193,0.24413311,0.24446227,0.24355225,0.24165256,0.23955065,0.23883434,0.24245548,0.25344622,0.27305427,0.29797783,0.3223064,0.3402901,0.351876,0.36393353,0.39041194,0.44337955,0.52369696,0.61143345,0.6732889,0.67816454,0.61921376,0.5206488,0.4303185,0.39314803,0.42616442,0.50549966,0.58282304,0.61310166,0.5807884,0.5006903,0.4052759,0.32379985,0.27193013,0.24909364,0.24566376,0.25047,0.25720444,0.2654673,0.27942634,0.3027242,0.33412242,0.36532843,0.38605824,0.39119732,0.38441494,0.37454376,0.36864433,0.36883494,0.3726355,0.3763496,0.37673792,0.3724849,0.3635079,0.3507595,0.33577228,0.32114413,0.30973837,0.30308607,0.30041906,0.2996664,0.29975414,0.3012235,0.30518314,0.3116156,0.31911516,0.32584715,0.33002958,0.33014795,0.32476237,0.31646094,0.31431964,0.33550444,0.39135996,0.47775197,0.56537014,0.62059665,0.62013626,0.5710591,0.4967076,0.42720842,0.37875083,0.355371,0.34953198,0.3530204,0.3588861,0.36398336,0.36697534,0.36826503,0.36691523,0.3605081,0.3458948,0.32433963,0.3009855,0.28257367,0.27248785,0.27104628,0.27601704,0.28366786,0.2885984,0.28661025,0.27715403,0.26565635,0.2601422,0.26850364,0.29098296,0.3194421,0.3376597,0.3342384,0.30887425,0.2751505,0.24784566,0.23509651,0.2342541,0.23853314,0.2418286,0.24237041,0.24175896,0.24329054,0.24886179,0.25769964,0.2667545,0.27302933,0.2752299,0.27406657,0.2715471,0.26910284,0.26701638,0.2642223,0.26035324,0.25610813,0.25319648,0.25287378,0.25527045,0.25931546,0.26375124,0.26893994,0.27733603,0.2912437,0.3097517,0.32863405,0.34371004,0.35422873,0.3640851,0.38150468,0.41767117,0.47875237,0.55750346,0.62783146,0.6590819,0.63222456,0.55763155,0.4689219,0.41169846,0.41414514,0.47433782,0.5539648,0.60695225,0.6011891,0.53937876,0.44691005,0.35801828,0.2949314,0.2629371,0.25268063,0.25117278,0.25029466,0.24895804,0.2511311,0.26229134,0.2849321,0.31577697,0.34498206,0.36469448,0.37254965,0.37380555,0.37282774,0.3720785,0.37038347,0.36668947,0.3589873,0.34636283,0.32937098,0.31219628,0.2996368,0.29484916,0.29562423,0.29781833,0.29742292,0.294561,0.29061714,0.28916204,0.29524127,0.31795514,0.36444306,0.4322121,0.5023833,0.5476683,0.54912513,0.5098204,0.45434216,0.41459092,0.41542873,0.46080837,0.5314328,0.58999604,0.60291815,0.55782324,0.47133467,0.3753524,0.2990808,0.25527802,0.23991583,0.24093622,0.24699259,0.25286314,0.25753877,0.26242685,0.26808134,0.27390197,0.27743456,0.27638972,0.27016523,0.26113883,0.25332674,0.25010446,0.25243178,0.25794518,0.26315665,0.26478305,0.2629306,0.2596732,0.25978193,0.26744714,0.28542027,0.3095586,0.32992896,0.33482882,0.3216457,0.29794255,0.27644292,0.2641389,0.2607653,0.26175705,0.263545,0.26439,0.2638248,0.26208702,0.26078936,0.2628713,0.27195373,0.28846243,0.30839017,0.32319692,0.32646856,0.31668004,0.29921842,0.28170574,0.27181932,0.27240583,0.2801862,0.2856656,0.28041846,0.26253507,0.23860341,0.21797192,0.20901267,0.21635781,0.24014385,0.27388987,0.3063302,0.3274925,0.33591366,0.34078726,0.35881034,0.4038794,0.47727123,0.559288,0.61856335,0.6270985,0.5810836,0.50296617,0.43404308,0.41049203,0.44428834,0.5131462,0.57486564,0.5925188,0.55534625,0.47999454,0.39612135,0.329481,0.29126433,0.27803504,0.27824128,0.28111875,0.2820616,0.28303185,0.28934714,0.30410942,0.32375443,0.33816734,0.33807692,0.32279333,0.3010943,0.2836341,0.27551058,0.27512458,0.27804372,0.28095397,0.2829923,0.28591648,0.29294842,0.30662775,0.32654783,0.34866872,0.36768863,0.37955,0.38364074,0.3819959,0.37782001,0.37324348,0.36843514,0.3623731,0.35423338,0.34498608,0.3366871,0.3318179,0.3313484,0.33682895,0.35183606,0.38444528,0.4396503,0.5123803,0.5813244,0.6201239,0.6104726,0.5550466,0.47417077,0.39616087,0.34297064,0.32208112,0.32631126,0.34129938,0.35480845,0.36150536,0.3625791,0.36231232,0.36425093,0.36886427,0.373211,0.3735374,0.36826393,0.35960057,0.3521333,0.34987184,0.35258284,0.3559909,0.3539358,0.34475884,0.33155695,0.32190302,0.32131124,0.332502,0.35127047,0.36899352,0.3741776,0.36217776,0.33757618,0.312543,0.2960293,0.28973612,0.28874838,0.2880344,0.28525877,0.28143296,0.27822414,0.27691975,0.2770381,0.27821955,0.27974048,0.28178057,0.28380165,0.28589907,0.28845444,0.29340127,0.30295867,0.3188996,0.34025112,0.36327913,0.38241875,0.3936286,0.3962128,0.39233685,0.38509214,0.37701234,0.37064275,0.36747038,0.3662453,0.36230126,0.3513025,0.33440676,0.32049012,0.32354042,0.35687277,0.4243188,0.513187,0.5936957,0.632423,0.61161697,0.54306453,0.46443972,0.4193518,0.43251956,0.49419466,0.5662535,0.60404706,0.58344334,0.5116139,0.42219582,0.35162565,0.32054415,0.32406107,0.34434924,0.36584482,0.3841437,0.401772,0.41962376,0.43544635,0.44358847,0.4401704,0.4232035,0.3972855,0.37008217,0.35137498,0.34799752,0.36595187,0.40598306,0.45950803,0.5051946,0.5207022,0.49776325,0.4487596,0.39576888,0.355459,0.33276817,0.3249818,0.32755336,0.3359307,0.34499013,0.35156235,0.35803974,0.375594,0.41413185,0.47155523,0.52282715,0.53766745,0.49929664,0.4256765,0.35481498,0.32658312,0.3561208,0.43056825,0.5140851,0.56792855,0.5702842,0.52518785,0.45740914,0.3936769,0.35079166,0.33014297,0.3244822,0.32479477,0.32550895,0.32524875,0.32457373,0.32478464,0.32589915,0.326776,0.3251194,0.31992844,0.3124161,0.30571017,0.30229887,0.3028545,0.30625844,0.31013188,0.31162336,0.30834362,0.30077434,0.2925044,0.28895485,0.2943114,0.30854803,0.32578602,0.33571395,0.33034182,0.31064093,0.28696004,0.27185932,0.2723528,0.28797686,0.3129184,0.33949867,0.3602108,0.37083435,0.37101436,0.3639579,0.3530034,0.34058213,0.32748255,0.3142216,0.3013148,0.28968158,0.27994034,0.27284944,0.26973578,0.2734036,0.28620756,0.3079617,0.33466706,0.36068848,0.38151908,0.3949714,0.400817,0.39940253,0.3918616,0.37978485,0.36600515,0.35321763,0.34346184,0.33838883,0.3426613,0.36652184,0.41959932,0.4995583,0.58282965,0.6353021,0.6322729,0.57728356,0.5000357,0.44181526,0.43276522,0.47699675,0.5481543,0.6054991,0.61565524,0.57204485,0.49265155,0.4083024,0.34342813,0.3079941,0.29613712,0.29619417,0.2987412,0.30175927,0.30813777,0.32187223,0.34259704,0.36376956,0.3744043,0.3677437,0.3469337,0.32472074,0.31472728,0.32372746,0.3489019,0.38009247,0.4056814,0.41815713,0.4177444,0.41030788,0.4022297,0.39666927,0.39330062,0.39061904,0.3869606,0.38107145,0.3723662,0.36200604,0.35310793,0.3486785,0.34951726,0.35292974,0.35548946,0.3544668,0.3492651,0.3402706,0.33206737,0.33503565,0.36430407,0.42684662,0.51232785,0.5906794,0.63122296,0.617831,0.5606672,0.4846287,0.41832265,0.37808144,0.36599895,0.37142923,0.38167801,0.38910782,0.39324912,0.39654997,0.3993298,0.39951718,0.39483765,0.3863547,0.37803748,0.3741165,0.37542197,0.37887523,0.3802465,0.37734786,0.37074652,0.3628309,0.35638738,0.35410246,0.3579811,0.36848143,0.38493717,0.40278593,0.41596797,0.41741714,0.40769395,0.39252558,0.3807542,0.3748583,0.37274835,0.3705964,0.36835876,0.36815098,0.37146392,0.3764834,0.3799721,0.3802744,0.38008502,0.38473532,0.3986251,0.4204202,0.44375792,0.4599992,0.46455237,0.45758116,0.44421312,0.43005523,0.41963866,0.41346195,0.4087828,0.40082094,0.38650265,0.36644173,0.34522912,0.32734823,0.31265393,0.29432157,0.2642727,0.22097297,0.17484815,0.14618607,0.15858425,0.22756565,0.34786367,0.48743895,0.5989765,0.64550775,0.6211586,0.55197066,0.48012313,0.4432808,0.4593676,0.5168156,0.5803334,0.60810786,0.57846457,0.5005104,0.40865836,0.33768997,0.30513802,0.30439594,0.31771085,0.3293134,0.33455816,0.33677045,0.3419015,0.3524314,0.36479536,0.3707831,0.362726,0.34128714,0.31518626,0.29647195,0.29059908,0.29600057,0.3059367,0.31481683,0.3190279,0.31824884,0.31408,0.3093417,0.3062528,0.30562007,0.30687734,0.30856463,0.30939308,0.30888525,0.30779108,0.30913162,0.31925783,0.34779146,0.39893344,0.4638145,0.5176385,0.53615636,0.5100975,0.45454684,0.39764944,0.36995447,0.3885025,0.45039678,0.5285812,0.58669055,0.59832215,0.5632941,0.50319797,0.44479445,0.40457514,0.38364103,0.3748344,0.36979213,0.36529756,0.36124107,0.35978976,0.36155212,0.36584505,0.3697196,0.3699619,0.3649212,0.35565165,0.3456566,0.33832332,0.33547577,0.3357364,0.3356819,0.3315893,0.322538,0.31078467,0.3009411,0.29721662,0.30319402,0.3195982,0.3435407,0.366794,0.3811132,0.3825791,0.374331,0.3615056,0.34791902,0.33497846,0.32355523,0.31360772,0.303923,0.2933615,0.282768,0.2750596,0.27336004,0.27998844,0.29486108,0.3148469,0.3332465,0.34430647,0.3462293,0.34264567,0.33752453,0.33287108,0.32750663,0.3204646,0.31157482,0.30190256,0.29193404,0.28160846,0.27021453,0.2569445,0.24030983,0.21869217,0.19149293,0.1611645,0.13281153,0.11500617,0.12010004,0.16536915,0.26113808,0.39796686,0.53661376,0.6288882,0.6427154,0.58697575,0.50145966,0.43900442,0.43328652,0.48597375,0.56222993,0.6171488,0.61918,0.5697673,0.49171612,0.41533396,0.36058268,0.3348746,0.3323739,0.34205064,0.3531671,0.3613237,0.36744574,0.37639025,0.39071453,0.40834114,0.42114016,0.42230478,0.41034922,0.39067554,0.3698053,0.35247388,0.34066752,0.334826,0.3339262,0.3355653,0.3368655,0.33614573,0.33428165,0.3350152,0.3426528,0.35825416,0.3778913,0.394717,0.40440562,0.40622854,0.40264523,0.39583692,0.38886002,0.3843319,0.38392505,0.38609648,0.38763204,0.38672426,0.3863019,0.39528263,0.42482135,0.4796706,0.5487338,0.6057193,0.6224767,0.5871122,0.5119283,0.4265428,0.36115363,0.33164945,0.3343586,0.35294953,0.37110496,0.38106146,0.38326272,0.3803823,0.37335214,0.36169085,0.346295,0.33087233,0.32041022,0.31785002,0.32207596,0.32845712,0.33229205,0.3303262,0.32262298,0.31159675,0.3020765,0.29845703,0.3031837,0.31612268,0.33548602,0.3568218,0.37344074,0.3779479,0.36927214,0.35253182,0.33703506,0.32762754,0.32461664,0.32510766,0.32773313,0.3321614,0.33810392,0.3437254,0.34699753,0.3468348,0.34471524,0.3433464,0.34493542,0.3489269,0.3528938,0.3543847,0.35283932,0.34921768,0.34556434,0.3439193,0.34547603,0.34929976,0.35262477,0.35266483,0.34879136,0.3431202,0.33892342,0.33612218,0.3294622,0.3098806,0.27361593,0.22589053,0.17989196,0.14599057,0.12719992,0.118832976,0.11521321,0.1123311,0.1090275,0.10510107,0.10150948,0.099716134,0.1015805,0.10653802,0.11115647,0.10982001,0.10006794,0.08420689,0.068694405,0.058812276,0.056785088,0.06132401,0.06950273,0.07745,0.081913106,0.08164916,0.0789699,0.079121895,0.08925802,0.1138734,0.15208428,0.19506188,0.232222,0.25612605,0.26727924,0.26985893,0.2682749,0.26485738,0.26099136,0.25828722,0.25708854,0.2570138,0.2566243,0.25585195,0.2550442,0.25474262,0.25413564,0.25182194,0.24713123,0.24189217,0.2403466,0.24649811,0.26046595,0.27714458,0.28848386,0.287823,0.2724976,0.24551897,0.21432076,0.19153345,0.19133389,0.22848101,0.30651203,0.4127781,0.5135098,0.57427734,0.57678825,0.53267294,0.46944034,0.4142902,0.38001445,0.36548126,0.3620384,0.36119685,0.3594168,0.35734513,0.35659555,0.35719526,0.35810056,0.35902536,0.3607187,0.3638933,0.36782694,0.37083328,0.37154076,0.37022516,0.36819938,0.36689496,0.36693004,0.36851326,0.37122583,0.37449077,0.3776946,0.38082314,0.3825914,0.37977698,0.36817953,0.3470366,0.3190039,0.28734782,0.25287953,0.21768631,0.18924604,0.17782782,0.18750633,0.20937537,0.22672515,0.22594957,0.20668451,0.18063878,0.16378063,0.16479628,0.18085039,0.2004921,0.21369183,0.21765389,0.21739824,0.2195053,0.22813015,0.24234247,0.25805178,0.26956615,0.27380815,0.27118513,0.26586103,0.26168767,0.26109317,0.26402667,0.2696422,0.27605,0.28030375,0.2796149,0.27548698,0.27827373,0.3053322,0.36779156,0.45717302,0.5424986,0.5899781,0.58259994,0.5327727,0.4718779,0.43643835,0.44675043,0.49723336,0.5563096,0.5863823,0.5669737,0.5051705,0.42973694,0.36873832,0.33747542,0.3305676,0.33516407,0.33854043,0.3374907,0.33420005,0.33335444,0.33764648,0.34474424,0.34893668,0.34310186,0.3272492,0.30593324,0.28652886,0.27012146,0.25449738,0.23638986,0.21670507,0.19852985,0.184224,0.17351955,0.1646222,0.15767223,0.15556763,0.16274484,0.18037568,0.20515053,0.22916512,0.24463005,0.24561779,0.23236793,0.21182275,0.19746917,0.20148039,0.22761942,0.26802558,0.30948174,0.3416115,0.36333477,0.38388216,0.41705644,0.4703032,0.5339715,0.58344346,0.5940669,0.5581871,0.4905914,0.41747233,0.36204913,0.33287826,0.32544246,0.32836428,0.3328137,0.335474,0.33709443,0.33913746,0.3417214,0.34481022,0.34789476,0.3508408,0.3526565,0.3525848,0.34994838,0.34470114,0.33763954,0.33013162,0.32420456,0.32099497,0.32072595,0.32233742,0.32545435,0.33074066,0.33960763,0.3506728,0.3598852,0.36224627,0.357668,0.34964398,0.34211096,0.3330914,0.3161774,0.28480515,0.23870997,0.18533136,0.13630092,0.10134252,0.084856816,0.08742219,0.10801238,0.14307468,0.18324544,0.2151616,0.22759879,0.21902724,0.1969549,0.1746869,0.16520841,0.17788781,0.21362694,0.26319775,0.31142542,0.34543705,0.36192465,0.3653257,0.36316147,0.3591288,0.353561,0.3435723,0.32856643,0.3099563,0.2946597,0.29190278,0.31489244,0.37177396,0.4597447,0.5557863,0.62619996,0.64182776,0.59808403,0.5190668,0.44769254,0.42245975,0.4554046,0.52417797,0.58625954,0.6050934,0.57118124,0.5027057,0.4307699,0.37883973,0.3540537,0.34914824,0.35400963,0.36135653,0.36971995,0.3795642,0.39260867,0.40688714,0.41612422,0.40953195,0.38088417,0.33408156,0.28416315,0.24940114,0.24466617,0.27717623,0.34094658,0.41464308,0.46705,0.47706214,0.4463562,0.39709914,0.35270086,0.32464457,0.31131467,0.3057141,0.3019115,0.29691848,0.29047498,0.2852856,0.2879308,0.3081675,0.34984574,0.40134183,0.4348373,0.42538062,0.37233233,0.30507088,0.26571575,0.28439668,0.36370394,0.477368,0.58178246,0.6358538,0.62112504,0.5497554,0.45557454,0.37300444,0.32194903,0.30272594,0.3050833,0.316161,0.32810473,0.3378197,0.3466499,0.3563837,0.3673289,0.37644824,0.37971655,0.37505773,0.36442015,0.35203013,0.3411379,0.33285415,0.32713792,0.32482603,0.3268205,0.33312795,0.3415632,0.34980524,0.35636798,0.36164585,0.36331978,0.35580698,0.330894,0.28775737,0.2343042,0.18516274,0.15010165,0.1315819,0.12537408,0.12612604,0.12847994,0.12836617,0.12362292,0.11563337,0.10867408,0.108376384,0.11781987,0.1356469,0.15546781,0.17030384,0.17567287,0.17252086,0.16609931,0.16520087,0.17717695,0.20384477,0.23792313,0.2682451,0.28435504,0.28256202,0.26529503,0.2425824,0.22767949,0.23093098,0.25238082,0.28189495,0.3071806,0.32159805,0.32900503,0.34135458,0.37403616,0.43388692,0.51166946,0.5803702,0.61273116,0.5957735,0.5439566,0.48785806,0.46275625,0.48417917,0.54299647,0.6046064,0.63411754,0.6117864,0.5460303,0.46091914,0.38451254,0.3333279,0.3108722,0.3093162,0.317873,0.3277913,0.33599034,0.34338292,0.3515493,0.358029,0.35687843,0.3432492,0.3188741,0.29090068,0.26587614,0.2460625,0.2307068,0.22001624,0.21440737,0.21280359,0.21185136,0.2084667,0.2024955,0.19676478,0.19705196,0.20757848,0.2288395,0.25384033,0.27404562,0.28305352,0.28183046,0.27434394,0.26547286,0.25751615,0.25133246,0.24611951,0.24081206,0.2344877,0.22940461,0.2330374,0.26061475,0.32553735,0.42780402,0.54166573,0.6288293,0.658246,0.6278532,0.5599203,0.48679158,0.43216833,0.40399298,0.39674893,0.3986175,0.40085602,0.4000412,0.39840963,0.39849505,0.4015676,0.40583888,0.40843424,0.40705097,0.40131697,0.39311972,0.38504326,0.37989676,0.37850356,0.38004288,0.38150385,0.38091776,0.3780527,0.37578824,0.377211,0.38397408,0.39260247,0.39431533,0.37806514,0.33849192,0.2817549,0.22263896,0.17566538,0.14665319,0.13330649,0.12906711,0.12793505,0.12521693,0.1187492,0.108793356,0.09863303,0.0928326,0.09524545,0.10496584,0.11568544,0.11827058,0.10822884,0.088603675,0.06852898,0.056164306,0.05525692,0.06286796,0.072231,0.07532275,0.068939134,0.055528883,0.04273535,0.037716214,0.045390096,0.064752765,0.0900307,0.11151669,0.12312595,0.12474281,0.12537445,0.13901429,0.18524706,0.2765494,0.40841007,0.54711604,0.6475416,0.6749818,0.6313699,0.55014944,0.4816291,0.4622679,0.5000672,0.56810445,0.6250282,0.63629764,0.5952937,0.5209662,0.44464043,0.38992968,0.36360058,0.35806498,0.36165747,0.36632022,0.36993244,0.37351778,0.37917098,0.38585246,0.3895589,0.38316348,0.3640163,0.33569142,0.30806944,0.28886318,0.28043127,0.27940595,0.28088412,0.28062987,0.2760003,0.26622644,0.2523817,0.23801054,0.22846861,0.22942919,0.24249567,0.2628617,0.28080487,0.28816906,0.283416,0.27151576,0.25878754,0.24721701,0.23402399,0.21589334,0.1956485,0.18116005,0.18058729,0.19674547,0.23183902,0.2907623,0.37612018,0.47588348,0.56008697,0.598696,0.5815358,0.5263252,0.4621477,0.41132823,0.38001776,0.36333108,0.35429993,0.3483362,0.3444865,0.3431152,0.34519875,0.35051715,0.3576075,0.36375794,0.3664391,0.36434686,0.35851717,0.35179076,0.3482552,0.3506231,0.35950696,0.37168288,0.38286316,0.38905022,0.38985643,0.3875389,0.3857207,0.38716587,0.3903375,0.38982177,0.37669602,0.34781337,0.30784392,0.2694542,0.24251115,0.22999652,0.22853257,0.23419522,0.24480756,0.257925,0.27024713,0.27887484,0.28401458,0.2876775,0.29061282,0.29036,0.28305906,0.2676195,0.24780494,0.2314822,0.22535513,0.23147535,0.24539883,0.26063022,0.27180985,0.27696988,0.2753874,0.26707652,0.25371388,0.24036436,0.2333454,0.23595208,0.24484897,0.25341836,0.2563533,0.2554572,0.25891277,0.2814964,0.3368294,0.42816257,0.5371217,0.6286726,0.6699312,0.65113765,0.5922491,0.5291802,0.4956317,0.50465506,0.54614943,0.59146863,0.61242896,0.59378064,0.54150945,0.4742343,0.41417035,0.37469044,0.3583232,0.35715675,0.36097792,0.36214134,0.35961592,0.35680962,0.35792503,0.3629345,0.36668983,0.36238006,0.3476548,0.3256607,0.30227348,0.28125414,0.2650477,0.25532576,0.25307155,0.25594112,0.25919566,0.2592819,0.25648367,0.25410986,0.25453362,0.25700054,0.25686967,0.24829994,0.22773795,0.19777209,0.16746694,0.14785086,0.1465858,0.16303371,0.19018175,0.21666329,0.23369837,0.2370073,0.23184241,0.23151708,0.25726074,0.32386804,0.42842874,0.54060096,0.6217887,0.6456299,0.6165244,0.5581909,0.49842024,0.4534719,0.42824697,0.41948095,0.42104593,0.42635557,0.43063435,0.43234113,0.43269274,0.43381926,0.43629256,0.43885925,0.43928847,0.4359223,0.42906913,0.42136168,0.41699982,0.41908863,0.42763415,0.4392378,0.44905886,0.4536557,0.4534966,0.45258906,0.4556936,0.46184877,0.46380588,0.45187366,0.42465165,0.3908275,0.3629279,0.34615865,0.33532548,0.32197204,0.3020437,0.2791588,0.26000533,0.2502376,0.25176838,0.26336277,0.28208888,0.30422905,0.3258935,0.34280023,0.35163447,0.35074314,0.34083113,0.32346907,0.30187896,0.28121495,0.26837885,0.26699013,0.27382472,0.28004518,0.27727476,0.26335996,0.24198835,0.22023182,0.20314981,0.19237071,0.18492185,0.17704785,0.16728635,0.16123332,0.17239028,0.21867704,0.30912575,0.43221012,0.55395085,0.636725,0.6586345,0.6263043,0.56735736,0.5191079,0.50879174,0.54142857,0.59413725,0.63226396,0.6295523,0.58412105,0.5143393,0.44575405,0.39578846,0.3679217,0.35487354,0.3476976,0.34164408,0.3372829,0.3368776,0.3431934,0.35488006,0.3669381,0.36947337,0.35772684,0.33276603,0.3025639,0.27195165,0.24401796,0.22103389,0.2073863,0.20384206,0.20357676,0.19585903,0.1753782,0.14968811,0.13487117,0.14504789,0.18122935,0.23086534,0.27550885,0.30216524,0.3078622,0.297377,0.27743953,0.25342146,0.22892475,0.20632797,0.18752588,0.17340784,0.163563,0.15580414,0.14831966,0.1424988,0.14340214,0.15638582,0.18153358,0.21283937,0.24121213,0.25993046,0.2673769,0.26589236,0.26044187,0.2543631,0.24979134,0.24569201,0.241825,0.23781474,0.23469156,0.23165126,0.22650765,0.21669297,0.20284007,0.18973102,0.18225606,0.18141721,0.18317717,0.18374616,0.18178783,0.17841023,0.17378564,0.16818918,0.1619157,0.15650986,0.15283538,0.15345824,0.16009618,0.17310005,0.18722318,0.19722308,0.200604,0.20093882,0.2021371,0.2058354,0.21027881,0.2133379,0.21405964,0.2127942,0.21047074,0.2079954,0.20618506,0.2056462,0.2064066,0.207518,0.20726366,0.20415626,0.19787283,0.18913786,0.17894614,0.16795368,0.15683855,0.14656012,0.13826124,0.13257922,0.12929805,0.12747847,0.12610377,0.12515211,0.12602545,0.13045402,0.13845639,0.14725502,0.15334737,0.1549918,0.15357895,0.15169948,0.15115519,0.15192579,0.15279342,0.15272184,0.15139662,0.14980133,0.14926332,0.15119606,0.1554913,0.16057849,0.16394281,0.16483779,0.16502279,0.16729707,0.17243552,0.17889254,0.18457389,0.18889892,0.19214237,0.19494037,0.19772351,0.2016024,0.20765628,0.21651049,0.22712268,0.23641948,0.24020498,0.23567206,0.22456086,0.21237403,0.20530052,0.20558971,0.21134867,0.21808787,0.22221082,0.22230232,0.21959971,0.21656919,0.21533771,0.2163285,0.21780473,0.21709597,0.21217398,0.20379043,0.1948967,0.1888966,0.18669628,0.18617827,0.18395095,0.17786747,0.16878481,0.15931292,0.15230761,0.14855678,0.14723335,0.14647554,0.14558852,0.14507692,0.14662594,0.15096857,0.15748586,0.16382603,0.16792047,0.16880333,0.16725689,0.16416574,0.16005884,0.15492009,0.14975385,0.1459208,0.1445281,0.14507826,0.14684041,0.1491569,0.15168776,0.15345545,0.15421648,0.15510292,0.15817074,0.16353601,0.16922003,0.17287248,0.1745769,0.1760713,0.17900842,0.18337904,0.1887723,0.19554745,0.20489657,0.21641928,0.22649916,0.22950839,0.22246309,0.20822804,0.19412798,0.18668526,0.18769337,0.19455118,0.20306426,0.20994408,0.21360475,0.21416897,0.21296883,0.21148784,0.21077056,0.21133079,0.21353967,0.21739393,0.22212929,0.22684424,0.2309854,0.23486055,0.23879993,0.24351399,0.25001642,0.25931934,0.27086788,0.28206703,0.28964484,0.29157928,0.28759757,0.27819645,0.26343447,0.2439848,0.2219892,0.2022594,0.18933666,0.18557952,0.18921323,0.19707048,0.2062664,0.21514148,0.22185028,0.22456378,0.22265245,0.21733077,0.21036756,0.20233233,0.19265133,0.18084739,0.16775344,0.1547122,0.14243463,0.13026033,0.11743189,0.10447701,0.09313715,0.084888615,0.079315566,0.07514172,0.07124422,0.06849838,0.06866775,0.07434455,0.08524259,0.09809214,0.10586778,0.10450601,0.094349466,0.0813574,0.07043782,0.06405086,0.06101376,0.059596535,0.058035925,0.055539917,0.052111913,0.048676163,0.046686824,0.04793781,0.053521205,0.062626325,0.071799874,0.07699102,0.0761719,0.0707813,0.06401388,0.058553904,0.05508776,0.052613527,0.0493708,0.04427935,0.03767346,0.031452436,0.02834873,0.03166766,0.044989645,0.07088033,0.10935853,0.15583648,0.20296985,0.24156086,0.26550433,0.2724978,0.26736486,0.25781342,0.2514641,0.24981897,0.2500104,0.2475848,0.24210699,0.23562442,0.23074783,0.22536238,0.2166627,0.2030117,0.1892866,0.1800211,0.17771442,0.1788755,0.18097676,0.18216686,0.18297707,0.1821589,0.17963375,0.17524694,0.17081197,0.1672346,0.1674912,0.17313536,0.18417208,0.19532095,0.20219363,0.20389538,0.20499296,0.20963804,0.2185992,0.22905183,0.23750512,0.24199341,0.24229042,0.23956013,0.23533367,0.23077323,0.22588558,0.21971945,0.21148477,0.20181827,0.19275852,0.1859864,0.1814075,0.17703961,0.1711092,0.16296066,0.1536085,0.14434732,0.13679859,0.1318769,0.13008775,0.13083732,0.13388233,0.13924626,0.14724505,0.156353,0.16351224,0.16589862,0.16361071,0.15984237,0.15809032,0.1598578,0.1638787,0.16832308,0.17214377,0.17556934,0.17890461,0.18182836,0.18357514,0.1835537,0.18172817,0.17827304,0.17363651,0.16883278,0.16574366,0.16607578,0.17014468,0.17643774,0.183083,0.18892373,0.19367675,0.19700408,0.19895959,0.20061986,0.20420265,0.21101552,0.21996872,0.22764216,0.23105384,0.2298982,0.22707184,0.22602849,0.22845544,0.23293616,0.23693655,0.23822385,0.23659031,0.23279114,0.22829987,0.22401352,0.22070666,0.21865559,0.21805,0.21854825,0.21949776,0.21971375,0.2176642,0.21140464,0.1997301,0.18317032,0.16501449,0.14953987,0.14001846,0.13648368,0.1365468,0.13724448,0.13729753,0.13813926,0.14260007,0.15276222,0.1671622,0.18130465,0.19005693,0.19115901,0.1859199,0.17763048,0.16921216,0.162188,0.1568013,0.15267687,0.14917628,0.14607723,0.1434902,0.14180101,0.14066188,0.13948111,0.13802463,0.13761775,0.13993613,0.14560908,0.15320148,0.16053747,0.16631992,0.1706297,0.17458133,0.17909002,0.18466628,0.19111592,0.19852112,0.20782454,0.219523,0.23262264,0.24341102,0.24946755,0.2507622,0.25083604,0.2522869,0.25561985,0.2590319,0.26105157,0.26161048,0.26122808,0.25996348,0.25699997,0.25217515,0.24707048,0.24477494,0.24767202,0.25532162,0.26438943,0.27103445,0.27347246,0.2727354,0.2711414,0.27059752,0.27166668,0.27388367,0.27622524,0.27778038,0.27818778,0.2777528,0.2771689,0.27625886,0.27363718,0.26653025,0.25394794,0.23781292,0.22370131,0.21566145,0.2139898,0.21433522,0.21288806,0.20875822,0.20416582,0.20099753,0.19933873,0.19836368,0.19807099,0.19967623,0.20351313,0.20834708,0.21166976,0.21286272,0.21321589,0.21524833,0.21964325,0.22560655,0.23148714,0.23645444,0.23986036,0.24127476,0.24018389,0.23738314,0.2343409,0.23295216,0.23282242,0.23202707,0.2278347,0.22052814,0.21306258,0.20953183,0.211308,0.21654205,0.22202998,0.22599034,0.22879688,0.23132186,0.23360626,0.23495448,0.23542482,0.23611903,0.2381389,0.24142723,0.24484818,0.24736397,0.24833661,0.2477458,0.24608292,0.2450106,0.24628551,0.25020316,0.2543039,0.25522384,0.25092307,0.24443509,0.24454455,0.2668742,0.32381597,0.41484633,0.5152824,0.5890729,0.606458,0.56592816,0.4899985,0.41200963,0.3549236,0.32565877,0.31718838,0.31936416,0.3247864,0.33139768,0.33934852,0.34888253,0.35868707,0.36700073,0.37259293,0.3756529,0.3773993,0.37916827,0.381745,0.38498542,0.38806793,0.3899635,0.3901135,0.3887979,0.38677156,0.38478056,0.38358214,0.383888,0.38555112,0.38592032,0.38039947,0.3656312,0.3430623,0.31851456,0.2983186,0.28549516,0.27962437,0.2784005,0.27965304,0.28145036,0.2826133,0.28224555,0.2803521,0.27762195,0.2756429,0.2755345,0.27709293,0.27863005,0.27861235,0.27669707,0.27339676,0.26912487,0.26380512,0.25738904,0.24970578,0.24064894,0.2308801,0.22229356,0.21752053,0.21812785,0.22462487,0.23604675,0.25040877,0.263934,0.2732118,0.27696106,0.2793558,0.28960943,0.32141683,0.38311818,0.47023156,0.55845314,0.61818194,0.6280405,0.5919983,0.53222203,0.48300532,0.4693576,0.4992236,0.5525829,0.59843546,0.60862285,0.5791559,0.5232001,0.4647452,0.4208412,0.39951444,0.39722562,0.40625414,0.4188935,0.43093574,0.44093287,0.44796672,0.44977084,0.44219658,0.42184857,0.38974592,0.3525145,0.31901005,0.2957979,0.28530064,0.28663108,0.29677162,0.31064925,0.32285228,0.3295764,0.33109242,0.32997555,0.32915688,0.3288062,0.32738447,0.32254374,0.31391665,0.30276203,0.29131016,0.27994645,0.2671126,0.2507872,0.23154193,0.21271633,0.19818927,0.1898491,0.18809056,0.1956671,0.22079153,0.27491504,0.36208203,0.4690791,0.5646789,0.61728024,0.6125557,0.56428653,0.5003472,0.44809845,0.41825762,0.40911755,0.41118312,0.41764525,0.42492947,0.43300763,0.44175372,0.4501886,0.4567128,0.46110287,0.46518612,0.47140923,0.48022476,0.4894737,0.49574444,0.49725845,0.49443984,0.48990464,0.48600355,0.4843556,0.48472425,0.48652887,0.4882255,0.4878432,0.48103794,0.46359277,0.43289194,0.39307854,0.3518715,0.31848738,0.29649353,0.28641373,0.28544402,0.2920144,0.30284938,0.31516644,0.32504606,0.33074126,0.33107919,0.32734242,0.3208805,0.31386146,0.306034,0.29681298,0.28511205,0.27347872,0.26589736,0.26699027,0.27753723,0.2950789,0.31455806,0.33140317,0.34247807,0.34678197,0.3451896,0.34041014,0.33559164,0.33299828,0.33237323,0.33227503,0.33099937,0.32965502,0.33302292,0.3512874,0.3944393,0.46455964,0.54691154,0.6148676,0.6425882,0.62204695,0.5672662,0.509104,0.4782356,0.4900899,0.53397876,0.5811152,0.6001659,0.57868534,0.5252083,0.46407017,0.4159442,0.39118513,0.38520977,0.3887876,0.3930485,0.39592752,0.39885214,0.40462294,0.4120283,0.4156462,0.4075832,0.38367394,0.34732568,0.3080131,0.27814046,0.26967254,0.29357123,0.35035303,0.4229069,0.47758126,0.48651135,0.44717193,0.3841599,0.32810482,0.29578272,0.2856171,0.28678533,0.28943655,0.2889496,0.2849501,0.2807287,0.28376123,0.30645624,0.35601237,0.42179164,0.47109452,0.47073677,0.4126794,0.3244457,0.24989574,0.22693999,0.26910082,0.36413276,0.4739038,0.5538795,0.5723167,0.5306305,0.4558853,0.3840629,0.33799323,0.32191882,0.32534802,0.33535305,0.3431563,0.34727848,0.34900844,0.35074446,0.35263506,0.3542366,0.35431352,0.35314956,0.35166943,0.3512152,0.35191742,0.35342383,0.35479558,0.35550788,0.35518292,0.3542463,0.35370752,0.35466644,0.35806134,0.363948,0.37102088,0.37555003,0.37276313,0.36027065,0.3407217,0.3207874,0.30638215,0.29919115,0.29648682,0.29416594,0.28988433,0.2839798,0.2786269,0.27559364,0.2755352,0.27773347,0.28127137,0.28502584,0.2883049,0.29040506,0.2914612,0.29144225,0.29015374,0.2851282,0.27359828,0.2534277,0.22739585,0.20107563,0.181554,0.17176951,0.17125654,0.1763172,0.18415289,0.19245116,0.19971062,0.20355052,0.20252357,0.19747095,0.19527572,0.2087787,0.25452426,0.339821,0.45364776,0.5627098,0.63096505,0.6372816,0.59189576,0.5262179,0.4806958,0.48015037,0.5247961,0.5854895,0.62479776,0.6157584,0.55984634,0.4791554,0.40414584,0.3552918,0.33864942,0.34660447,0.3670341,0.38949546,0.4087573,0.4231319,0.4322734,0.43413886,0.42590895,0.40556753,0.3762835,0.344846,0.3188242,0.30233514,0.2966123,0.30157307,0.31552023,0.33458397,0.35296968,0.36630556,0.37295747,0.37366828,0.36950538,0.3611244,0.34927735,0.33559194,0.32286987,0.31377634,0.3092682,0.30702013,0.30250004,0.29153097,0.27370846,0.25328436,0.23653562,0.22769304,0.22730245,0.23631191,0.26095363,0.31148967,0.3916042,0.4880259,0.5713101,0.6124788,0.59968764,0.5461369,0.4779626,0.42096874,0.3869979,0.37623516,0.3808272,0.3938969,0.41038755,0.42727473,0.44112992,0.44922483,0.45155194,0.4510114,0.45154682,0.45459235,0.4583292,0.45920599,0.45483902,0.4459349,0.43534926,0.4258089,0.41782466,0.40927473,0.3983501,0.38552955,0.3752987,0.37135077,0.37177148,0.36685684,0.34575507,0.3059279,0.2558517,0.20913959,0.1749307,0.15481958,0.14499742,0.14065103,0.13768712,0.13361965,0.12754728,0.12099552,0.116900355,0.11869963,0.12677352,0.13798206,0.14610034,0.14735474,0.1418771,0.13410456,0.12784865,0.12526114,0.124970935,0.12432158,0.11979503,0.11063736,0.098782785,0.089039914,0.08569602,0.09225783,0.10855696,0.13065307,0.14980507,0.15881671,0.15555029,0.14785881,0.15024811,0.18325911,0.26065457,0.38054875,0.5136431,0.61972195,0.6644471,0.6440007,0.58026415,0.5145247,0.48335072,0.50448275,0.56306154,0.6220121,0.64255136,0.60885435,0.5332738,0.44661522,0.37791702,0.34215817,0.33703575,0.35114157,0.37262353,0.3947618,0.41554615,0.43440178,0.44859692,0.45211685,0.43842056,0.40664437,0.3641858,0.3235411,0.29422793,0.278926,0.27514875,0.27880862,0.2862781,0.29346994,0.2976875,0.2979947,0.2967199,0.29663408,0.29941726,0.3036523,0.30612123,0.30402198,0.29725018,0.28782666,0.27858064,0.27146867,0.2687275,0.27160472,0.27996007,0.29031575,0.29833153,0.30102834,0.2991918,0.29625073,0.29670367,0.3033838,0.31736293,0.3375676,0.36292323,0.39032352,0.41352853,0.4232073,0.41297302,0.38534316,0.34979317,0.31622162,0.28840438,0.26619858,0.24940272,0.2391377,0.23627685,0.23811136,0.24025722,0.23732258,0.2280951,0.21516754,0.20475994,0.20050688,0.20145625,0.20215906,0.19811654,0.18828015,0.17579721,0.16418917,0.15620045,0.15212953,0.1526508,0.15665191,0.16184406,0.16211128,0.1535935,0.13657026,0.11777311,0.10349142,0.09658187,0.09489524,0.095291294,0.09545863,0.094583094,0.092377394,0.08896472,0.08516247,0.0824096,0.08209803,0.08443589,0.08810234,0.09078642,0.090742014,0.08773953,0.08308732,0.07848054,0.0751298,0.07320657,0.07226176,0.07158667,0.07091919,0.07030991,0.07030895,0.07187492,0.07683686,0.086800784,0.10174029,0.118572,0.13283002,0.14140548,0.14529228,0.14934306,0.1598223,0.18043505,0.20937534,0.239484,0.26233685,0.27301693,0.27251396,0.26567355,0.25825873,0.25462708,0.25719786,0.26577607,0.2772552,0.2868334,0.29086006,0.28904513,0.28402397,0.27874145,0.27452806,0.27102733,0.26737466,0.26320183,0.25902155,0.25633594,0.25697768,0.26150802,0.26823533,0.2734536,0.27437595,0.27036276,0.2632877,0.2547163,0.24531682,0.23461322,0.22308101,0.21199258,0.20329054,0.19762468,0.19475488,0.19329756,0.19257788,0.19215788,0.19256388,0.19384061,0.1958143,0.19759543,0.19844995,0.19815023,0.1968932,0.19513226,0.1928161,0.18987526,0.18621743,0.18230493,0.17885692,0.17674659,0.17726918,0.18188597,0.19132096,0.20382528,0.21521355,0.22109075,0.21953239,0.21190171,0.20121731,0.19040744,0.18164557,0.17624886,0.17449284,0.17518456,0.17645346,0.17689164,0.176363,0.17535831,0.1740758,0.17210369,0.16903101,0.16495484,0.16043477,0.15594558,0.15176274,0.14820331,0.14601266,0.14593787,0.14801449,0.1510405,0.15357322,0.1552671,0.15769295,0.16231073,0.16830643,0.1719382,0.16990733,0.16235396,0.15295263,0.14560735,0.14173232,0.14049046,0.14043587,0.14077349,0.14117748,0.1415295,0.14207393,0.14350407,0.1467538,0.15193354,0.15795492,0.16265608,0.16413094,0.16157663,0.1558282,0.14890063,0.1434174,0.14142546,0.1433674,0.14741987,0.15034495,0.14921074,0.14333571,0.13501537,0.12862472,0.12799907,0.13361736,0.14179312,0.14727062,0.14693147,0.14164318,0.1342464,0.12720473,0.12115154,0.11612495,0.111707956,0.107616805,0.10322878,0.098565936,0.09415734,0.09110575,0.090372086,0.09264985,0.097789995,0.104484044,0.11040696,0.11349466,0.11309117,0.11026896,0.10695508,0.10476584,0.10412056,0.10397255,0.10254973,0.09899663,0.09519452,0.09666774,0.11033348,0.14041483,0.18345697,0.2289542,0.26354322,0.2789367,0.27454248,0.25737718,0.23620915,0.21789701,0.2042376,0.19527507,0.19254182,0.20094709,0.22370672,0.25733003,0.29056063,0.31064644,0.31011507,0.29025865,0.2589257,0.2265601,0.20292057,0.19453132,0.20331556,0.2248652,0.25105643,0.27310732,0.28587446,0.2881733,0.2832732,0.2791895,0.28834775,0.323355,0.38792256,0.47036305,0.54536843,0.5880527,0.5881403,0.5548354,0.5075637,0.4637114,0.43197128,0.4137362,0.40664935,0.4072394,0.41163644,0.41677442,0.4202894,0.42079142,0.41740075,0.41087362,0.40371725,0.3991352,0.3987426,0.401821,0.40649202,0.4116907,0.4175073,0.42448914,0.4324908,0.44067287,0.4480853,0.45450267,0.46041346,0.46603537,0.4689794,0.46488592,0.44923535,0.42287633,0.39109933,0.3616779,0.33801922,0.31911564,0.3004246,0.27932212,0.25635678,0.23547085,0.21991096,0.21050026,0.20588207,0.20643836,0.21645147,0.24128102,0.2805122,0.32213387,0.34612373,0.3368362,0.29588246,0.24401005,0.20684855,0.197601,0.20746134,0.21606587,0.20774825,0.18490048,0.16353317,0.16194336,0.1872413,0.2331388,0.28310224,0.32164744,0.34109995,0.346393,0.34968963,0.36589348,0.40540063,0.4697508,0.5469652,0.6140824,0.6477835,0.63732284,0.59199804,0.53707516,0.50257295,0.5068558,0.5460095,0.59420985,0.62035817,0.6061583,0.5567973,0.49329805,0.43957415,0.40779987,0.3965188,0.39505818,0.394496,0.3923078,0.39179716,0.39663634,0.40761885,0.4217833,0.4341612,0.43939567,0.43440866,0.4196386,0.399716,0.38066927,0.36645636,0.35661182,0.34754965,0.3364838,0.3225313,0.30618784,0.2864692,0.2635612,0.24107338,0.22643763,0.22406892,0.22897226,0.22949846,0.21623653,0.19152337,0.16684557,0.15623991,0.16761887,0.20005868,0.2437005,0.28424394,0.3099067,0.31941056,0.3237323,0.34212252,0.38907263,0.46440956,0.54797095,0.61079246,0.63035697,0.6043784,0.54927903,0.4896102,0.4452406,0.42444244,0.42483297,0.4377488,0.45443848,0.4688743,0.47909507,0.48558402,0.48979947,0.4925152,0.49375668,0.49349988,0.4926282,0.4926857,0.49506328,0.49964616,0.50501657,0.50888735,0.5100801,0.5083546,0.50478405,0.5000953,0.4956323,0.49187645,0.4877572,0.47902903,0.46126902,0.43469098,0.40548015,0.3825334,0.37032744,0.3686118,0.3729311,0.38030028,0.38774478,0.39532164,0.4025364,0.41125464,0.42090294,0.43005535,0.43405816,0.4304237,0.4206691,0.41037086,0.4038936,0.4007385,0.39779842,0.39354184,0.38968888,0.38856408,0.3907191,0.3962767,0.40590265,0.42121065,0.44162562,0.46382466,0.48049888,0.48333955,0.4664968,0.43294922,0.39301643,0.35875535,0.3364414,0.32997772,0.34675285,0.39546803,0.47457924,0.5621088,0.62576944,0.63987505,0.60414505,0.54223233,0.49226913,0.48319304,0.51965857,0.57720715,0.6204245,0.6243015,0.5878672,0.53006023,0.4756117,0.44119048,0.42870772,0.4291416,0.43165708,0.43078366,0.4281877,0.42896116,0.43843403,0.45732006,0.48189914,0.50437105,0.5200488,0.5283784,0.53453565,0.5432816,0.5575619,0.57412857,0.58474404,0.57807547,0.5474864,0.4957976,0.43492046,0.37811232,0.33331147,0.30086458,0.2771041,0.2581923,0.2430629,0.23397543,0.23468502,0.2470898,0.26732686,0.28692493,0.29659936,0.29212427,0.2754221,0.2527453,0.23158313,0.22060804,0.23125608,0.2752217,0.35501194,0.45488176,0.54358816,0.59170055,0.5894995,0.55023277,0.49871215,0.4546807,0.42706785,0.4143099,0.4121126,0.41529056,0.42057976,0.42524302,0.42834833,0.43012652,0.43155062,0.43279156,0.43261516,0.42892906,0.42087993,0.40986145,0.3993287,0.39227793,0.38990775,0.39146283,0.39546886,0.40042153,0.40498742,0.40855598,0.4117982,0.4153607,0.41648653,0.40761483,0.3801665,0.33262083,0.27352926,0.21843766,0.18178618,0.17163877,0.18650706,0.21507822,0.24149406,0.25372267,0.2511954,0.2422431,0.23741396,0.24286836,0.25979537,0.2859377,0.31734896,0.35026896,0.3818209,0.4101182,0.43256417,0.44569898,0.44636548,0.43329307,0.40729713,0.36946246,0.32141387,0.26695797,0.21549892,0.18016517,0.17246234,0.19424556,0.23558974,0.27891842,0.30877995,0.3201563,0.32160524,0.33162022,0.36785457,0.43569204,0.5205509,0.5962371,0.6385719,0.64082366,0.6131711,0.5781362,0.5577478,0.5649841,0.594584,0.6279811,0.64292735,0.6288047,0.5877158,0.53402156,0.48370805,0.44963053,0.43354443,0.429202,0.4280889,0.42677447,0.42660788,0.42967117,0.43457225,0.43652663,0.4293681,0.41011477,0.38093296,0.34885845,0.3214498,0.30243647,0.2900194,0.2782679,0.26170895,0.23850793,0.2115434,0.18580155,0.16586278,0.15461399,0.15308349,0.15983771,0.17056324,0.17935629,0.18221898,0.17968814,0.17673703,0.17901462,0.18909805,0.20458691,0.22002567,0.23008375,0.23256151,0.22866647,0.22403474,0.22944488,0.26190498,0.33448848,0.44424585,0.5616049,0.6459908,0.6666444,0.62478954,0.5456137,0.46407723,0.40280735,0.36883703,0.3548958,0.35049272,0.34764335,0.34425434,0.34217218,0.34363425,0.34861824,0.35412002,0.35688582,0.35594535,0.35315552,0.3516017,0.3529127,0.3573667,0.36347815,0.37003902,0.37536946,0.3787357,0.3798926,0.3810303,0.38518855,0.39522317,0.4075526,0.41337276,0.39998484,0.3634629,0.30963093,0.2538611,0.20793416,0.17705445,0.1584682,0.14747001,0.13931529,0.13091905,0.120851286,0.10958313,0.09907955,0.0920785,0.09073917,0.09476825,0.10057986,0.10301713,0.09913239,0.090174526,0.080436625,0.07382681,0.071868576,0.07325124,0.075094946,0.074389964,0.069842525,0.062461462,0.055261742,0.051881056,0.05541885,0.06637246,0.08166482,0.095096804,0.10140406,0.09982323,0.09808874,0.11268649,0.16512442,0.26799533,0.41003528,0.55365866,0.65239763,0.6786552,0.6372523,0.56311697,0.49993992,0.48056817,0.50962776,0.56516033,0.61157143,0.6207207,0.5845973,0.51738,0.4450731,0.39068654,0.36290202,0.35587952,0.35852468,0.36338523,0.3697345,0.37997565,0.39514565,0.409915,0.41318437,0.3926048,0.34546915,0.28096303,0.21626122,0.16428621,0.12980045,0.10976481,0.098813474,0.091435276,0.083926864,0.07482409,0.065331556,0.0580776,0.056071594,0.060564082,0.0701282,0.080225386,0.08623145,0.08592235,0.08098114,0.07480662,0.0704737,0.06894079,0.069279134,0.06922702,0.06691382,0.061858084,0.055271897,0.04891455,0.044355016,0.04259326,0.044077676,0.048219692,0.053423252,0.05766679,0.059763443,0.059780445,0.058732096,0.057686474,0.057200167,0.057255957,0.05753546,0.05778244,0.057970505,0.05820137,0.05864795,0.05940364,0.060562745,0.06203403,0.063615106,0.064973585,0.06589803,0.066435635,0.06698062,0.06819447,0.07036727,0.0731082,0.07516045,0.075592645,0.07456993,0.07419979,0.07791456,0.08931297,0.109935164,0.13781272,0.16799594,0.19541436,0.21746425,0.23446451,0.2478677,0.25871444,0.26711378,0.272733,0.2753402,0.27521113,0.27319014,0.27024937,0.2669387,0.26324368,0.25870204,0.25280538,0.24535447,0.23691046,0.22849636,0.22035211,0.21121265,0.1989109,0.18270667,0.16425,0.14686847,0.1331874,0.123828374,0.11770075,0.113307185,0.109895624,0.10760642,0.10689662,0.10787701,0.109823875,0.111742266,0.11273342,0.11266316,0.11175843,0.110426486,0.10893466,0.10764482,0.10692961,0.10686731,0.10679867,0.105823405,0.10365588,0.10133466,0.10035818,0.10149217,0.10415373,0.10739729,0.1110152,0.115686215,0.122140355,0.13059108,0.1409493,0.15301585,0.16624315,0.17948504,0.1916055,0.20213896,0.21134873,0.21941411,0.22629386,0.23213427,0.23777078,0.24406034,0.25094214,0.25746498,0.26291278,0.26786134,0.27317977,0.27851447,0.2817239,0.28097823,0.27661267,0.27107504,0.26672658,0.26405096,0.26170287,0.25764963,0.25077674,0.24151017,0.23172635,0.22289683,0.21478505,0.2051998,0.19248383,0.17719097,0.16242164,0.15119845,0.14483029,0.14222193,0.14152609,0.14110373,0.14041589,0.13948715,0.13853885,0.13728935,0.13506319,0.13126995,0.12599123,0.12016308,0.1150817,0.1118133,0.1107116,0.1114518,0.1134566,0.116156556,0.11912722,0.12177084,0.12351581,0.123939104,0.12322262,0.12192688,0.120765425,0.12016845,0.12034905,0.12133014,0.12287412,0.12430537,0.12479558,0.12411802,0.12294558,0.12233127,0.12272904,0.12383721,0.12513779,0.12650894,0.1281882,0.13032,0.13277584,0.13523822,0.13757598,0.13983059,0.14217246,0.14462554,0.1471753,0.14971125,0.15217622,0.15433507,0.15603693,0.15723522,0.15829194,0.15953602,0.16094114,0.1619009,0.16161938,0.1597601,0.15669495,0.1534589,0.15125282,0.15093993,0.1526152,0.15540284,0.15799235,0.15928124,0.15893398,0.15716061,0.15442443,0.15132003,0.14859867,0.14677674,0.1456451,0.14416027,0.14118691,0.1363163,0.13003941,0.123354755,0.11698448,0.11139395,0.10670956,0.1030735,0.10034299,0.098026186,0.09549958,0.0923711,0.089097165,0.08641913,0.08502367,0.08455479,0.08414184,0.08292032,0.081073396,0.07941893,0.07858443,0.078092575,0.07695646,0.07461772,0.0717541,0.06998653,0.071789704,0.08041794,0.09865598,0.12678488,0.16017921,0.1915276,0.21413408,0.22648887,0.23101659,0.23165421,0.23039512,0.22741981,0.2227815,0.21743375,0.21345346,0.21195622,0.21287952,0.21419019,0.21408594,0.21125977,0.2063632,0.2001424,0.19371517,0.18739094,0.18250038,0.18014622,0.18110259,0.1839578,0.18676187,0.18806495,0.18795414,0.18686248,0.18479115,0.18166596,0.17798404,0.1747858,0.17242949,0.17011702,0.16640711,0.16060065,0.15308899,0.14489104,0.13658594,0.12826811,0.11974532,0.11109968,0.10258279,0.09444144,0.08647471,0.07801265,0.06840578,0.05776145,0.047120556,0.03782182,0.03071293,0.025861626,0.022762388,0.020715587,0.019148394,0.01783956,0.01685142,0.01620373,0.015688712,0.014971364,0.01396688,0.012888732,0.012075805,0.011637696,0.011415129,0.011162045,0.010769838,0.010297245,0.009789784,0.009219218,0.00849442,0.007628668,0.00669927,0.0058443137,0.0051411036,0.004640009,0.0043159085,0.004121178,0.0039801607,0.003842867,0.0036725944,0.0034627153,0.0032254292,0.0029943872,0.0027911367,0.002616057,0.0024526333,0.002297939,0.002162087,0.002058354,0.0019838572,0.001926364,0.0018733948,0.0018214356,0.001771369,0.0017221876,0.0016691106,0.0016088127,0.0015454256,0.0014894335,0.0014501284,0.001426709,0.0014063526,0.00136887,0.0013003575,0.0012063859,0.001117212,0.0010724349]