[0.03505787,0.04227813,0.055954207,0.06910112,0.076745264,0.079198934,0.07961895,0.08112987,0.084139444,0.08712836,0.08840335,0.087663986,0.085558884,0.08227513,0.07672119,0.06773483,0.056103274,0.04548187,0.040930625,0.04528458,0.0570996,0.07069537,0.08052552,0.083926976,0.08275011,0.08029661,0.0792667,0.079795025,0.08072073,0.080597915,0.07918015,0.076704554,0.07341362,0.06859612,0.06209978,0.055063944,0.050658297,0.05155098,0.05822739,0.067861095,0.076570176,0.08153697,0.08252243,0.08132068,0.08034041,0.08135835,0.08451063,0.08876207,0.09263033,0.09530861,0.0967558,0.09731861,0.09740239,0.09720435,0.09700132,0.09716847,0.098223336,0.10030055,0.10268945,0.10435134,0.10497107,0.1057659,0.108159035,0.11197225,0.114699006,0.11367611,0.10863516,0.1024084,0.09845185,0.09833032,0.10090927,0.10440558,0.107761204,0.111180715,0.11458606,0.1173388,0.11817822,0.11657364,0.11307203,0.109315366,0.106917,0.106328316,0.10652695,0.10573841,0.1030881,0.09899002,0.09486375,0.091657646,0.0898068,0.08914748,0.08978197,0.091692805,0.09486174,0.09884876,0.103086054,0.10693232,0.1097824,0.11136669,0.11170938,0.111556984,0.111635804,0.11247906,0.11357247,0.11405429,0.11314973,0.11088297,0.10769427,0.10393653,0.099804305,0.09549368,0.091632,0.08848896,0.085800886,0.08231238,0.077384196,0.07169827,0.068012565,0.06944809,0.07764376,0.09120973,0.106116354,0.11801934,0.12429961,0.12542956,0.12351232,0.120934494,0.11855487,0.116484694,0.11467471,0.114123404,0.115729935,0.11952582,0.12388295,0.12718856,0.12890857,0.13018994,0.13201737,0.13424943,0.1350872,0.13266492,0.12596041,0.11588794,0.104783386,0.095672645,0.09057548,0.0896479,0.09133902,0.0936281,0.09522254,0.09581473,0.09573921,0.09526014,0.094502695,0.09355915,0.0930847,0.09365225,0.095380306,0.09708828,0.0977085,0.096833855,0.09542786,0.094207235,0.093227684,0.09163323,0.08925321,0.087146394,0.08797842,0.09409478,0.105963886,0.12077709,0.13419858,0.1427155,0.14584595,0.14572918,0.14532621,0.14645483,0.14889728,0.15117957,0.15170558,0.14972778,0.1453494,0.1393888,0.13361442,0.13091917,0.13482565,0.14741717,0.16685647,0.18724577,0.20141363,0.2057302,0.20153551,0.19377552,0.18595134,0.17822617,0.16707142,0.15260518,0.14142863,0.14775847,0.17836428,0.2260773,0.26788166,0.28748927,0.2855701,0.28130725,0.288741,0.30590546,0.31608227,0.30818737,0.28669664,0.26729092,0.25975525,0.25948957,0.25299117,0.2320865,0.20080836,0.17166369,0.15625934,0.15905713,0.17716657,0.20257966,0.2272768,0.24587995,0.25792554,0.26506197,0.26908407,0.27006337,0.26795563,0.26366103,0.25967538,0.25827092,0.2599733,0.26256654,0.2636867,0.26277614,0.26217034,0.26184002,0.25773376,0.24230577,0.21511136,0.18610804,0.17386918,0.19019157,0.23041499,0.27400813,0.3003414,0.30571488,0.30336818,0.3105356,0.3282207,0.34370723,0.34079626,0.31932095,0.29032862,0.26892975,0.2592274,0.25833824,0.25936258,0.25969252,0.25917313,0.25951836,0.25909814,0.25379106,0.2385654,0.21474701,0.18968846,0.17438608,0.17518568,0.19230278,0.21960169,0.24917166,0.27414083,0.29156426,0.30202267,0.3076732,0.3101304,0.3105997,0.3116319,0.3172914,0.33090684,0.34901202,0.3622034,0.35945293,0.34097072,0.31650928,0.29894188,0.28834024,0.27478877,0.2468975,0.20648615,0.16604048,0.14104362,0.13772555,0.15263385,0.17527036,0.1976537,0.21801026,0.24218352,0.27279207,0.30345878,0.31786668,0.30759323,0.28054062,0.2600987,0.2620579,0.28278336,0.3007311,0.29836872,0.27579576,0.24885844,0.23182118,0.22540992,0.21866728,0.20128162,0.1728632,0.14319545,0.12586983,0.12931179,0.15251313,0.18428026,0.21200879,0.22798592,0.23418616,0.23602353,0.23784816,0.2392043,0.2383911,0.23457591,0.22951514,0.22545016,0.22383624,0.22405453,0.22511148,0.22679184,0.23057628,0.23585904,0.23858763,0.23167168,0.21371026,0.19246225,0.1837327,0.19831951,0.23268823,0.26877764,0.28762284,0.28573582,0.27651465,0.27843708,0.29431424,0.31089008,0.30885515,0.28460512,0.24904631,0.22026145,0.20568691,0.2035911,0.20592196,0.20859332,0.21038164,0.21375507,0.21803339,0.22035234,0.21435757,0.19922839,0.17952384,0.16532476,0.1628527,0.17240377,0.18825091,0.20351624,0.21423216,0.22015953,0.2245155,0.22975571,0.23671524,0.24398832,0.2520391,0.26399505,0.28351012,0.3074322,0.32489786,0.32383397,0.30408135,0.27794945,0.26128492,0.25808713,0.26056468,0.2566794,0.24244308,0.22177337,0.20307149,0.19179618,0.18994464,0.1952012,0.20536785,0.21996689,0.24227273,0.27169108,0.30024806,0.31291327,0.3035245,0.2812005,0.26743296,0.27498767,0.2986388,0.31845796,0.3193669,0.30185312,0.27945057,0.26390237,0.2557114,0.2464581,0.229129,0.2050683,0.1825652,0.17117429,0.17570932,0.19464545,0.22027099,0.24375291,0.25894752,0.2652882,0.26534915,0.26220343,0.25777337,0.25324953,0.24946849,0.2467859,0.24485135,0.24298365,0.2404067,0.2376226,0.23650323,0.23987412,0.24654986,0.25034252,0.2419728,0.22002594,0.194722,0.18498659,0.2028987,0.24363649,0.28704807,0.31293967,0.31741503,0.3127594,0.31600294,0.33051574,0.3469889,0.35107744,0.34026468,0.32161805,0.3065138,0.29869965,0.29613966,0.29461035,0.2927825,0.2914665,0.29124036,0.28986815,0.28294843,0.26608047,0.24077396,0.21382712,0.19550163,0.19151686,0.20196587,0.2209477,0.24133082,0.25744843,0.26735243,0.27210853,0.2739124,0.2746042,0.27593315,0.2806235,0.2921436,0.31217518,0.33611563,0.3545566,0.3582196,0.34832457,0.3337295,0.32486627,0.32147142,0.3167026,0.3031554,0.28260443,0.26211962,0.24959005,0.24691553,0.25193402,0.25955248,0.26709738,0.2750118,0.28834164,0.30906108,0.33217046,0.34445646,0.3379893,0.31787917,0.3018401,0.3028867,0.31815806,0.33066487,0.3258383,0.30448738,0.2803009,0.2663572,0.26323256,0.261561,0.25177845,0.23279537,0.21095084,0.1952874,0.19177707,0.20134906,0.21884471,0.2368262,0.24944259,0.25624564,0.25963047,0.2617843,0.26230955,0.26040924,0.2565571,0.25287995,0.2512225,0.25180253,0.25320253,0.25428846,0.25557622,0.25924346,0.26498735,0.26843658,0.2618839,0.24322538,0.22002554,0.20865588,0.22142239,0.25576738,0.29345497,0.3135936,0.31138763,0.29981545,0.29882607,0.31214175,0.3275405,0.32550004,0.3025817,0.26905495,0.24281268,0.23062326,0.23034154,0.23328124,0.23522532,0.23529814,0.23636033,0.23769683,0.23571806,0.2236467,0.20103139,0.1738823,0.15424316,0.14959794,0.16064928,0.18035227,0.20071681,0.21614508,0.22600342,0.23204838,0.23603033,0.23768558,0.23652835,0.23484367,0.2387284,0.25430036,0.27880406,0.29965785,0.30130318,0.28210846,0.25486994,0.23778848,0.23494427,0.23658724,0.22774696,0.20433514,0.17354554,0.14845502,0.13615817,0.13499908,0.13573126,0.13083164,0.1196318,0.11035962,0.1123611,0.12952042,0.15608025,0.18216439,0.2001382,0.20954551,0.2146136,0.21981697,0.22618407,0.23183787,0.23458779,0.23339719,0.22790217,0.21634793,0.19658846,0.16868274,0.13812442,0.11391589,0.10364235,0.108929284,0.1246748,0.14262845,0.15452811,0.15641792,0.14887886,0.13655852,0.12359327,0.11211971,0.102410965,0.09533628,0.09217193,0.093875974,0.1006245,0.1131886,0.13211209,0.1560204,0.18035448,0.19979177,0.21161474,0.21641834,0.2162797,0.21207356,0.2044133,0.19543546,0.18953435,0.19030847,0.19735093,0.20661838,0.21387029,0.21784712,0.21961534,0.22004612,0.21789627,0.21089835,0.19838987,0.1839207,0.1736961,0.17298152,0.1814325,0.19436067,0.20594706,0.21373898,0.21789946,0.21977353,0.21980405,0.2183783,0.21596704,0.21362014,0.21202046,0.21168046,0.21259128,0.21482056,0.21819775,0.22246338,0.22692764,0.23079379,0.23347074,0.2344412,0.23273098,0.22670199,0.21596973,0.20344806,0.19488376,0.1950237,0.20407604,0.2185181,0.23372619,0.24485533,0.24639004,0.23348792,0.20731457,0.1758254,0.15106128,0.14120957,0.14820305,0.16695495,0.19122618,0.21711867,0.24693282,0.2810694,0.31349015,0.328897,0.31917152,0.29133388,0.26840496,0.26815283,0.2904859,0.31676593,0.3285198,0.3221688,0.30962598,0.3043648,0.30899704,0.31507286,0.31284976,0.29932117,0.27965155,0.26231006,0.2539873,0.25564918,0.26203,0.2656962,0.26258612,0.25594792,0.25243688,0.2566534,0.26616788,0.27517816,0.27899516,0.27847567,0.2774261,0.2792817,0.28417245,0.2905409,0.29695556,0.30327103,0.30727562,0.30396506,0.28600833,0.25240862,0.21234496,0.1854039,0.18803793,0.22075813,0.26416722,0.29273626,0.29658258,0.28738463,0.2874597,0.30391896,0.32496902,0.3285651,0.30807248,0.2735717,0.24473189,0.23067015,0.22879714,0.2297013,0.22839023,0.22580522,0.22598638,0.22817104,0.22559065,0.2081057,0.17387943,0.1312602,0.09685293,0.08248646,0.09152048,0.11679051,0.14820994,0.17588258,0.19561303,0.20685168,0.21240668,0.21385153,0.2130421,0.21328866,0.22132532,0.24319255,0.2748109,0.30152512,0.30501366,0.2831048,0.24962847,0.22655143,0.22101004,0.22558697,0.22479366,0.21299784,0.19458626,0.180182,0.1758312,0.18186565,0.19382478,0.20878302,0.22784425,0.2561152,0.29434428,0.33347046,0.35605574,0.35164857,0.3268319,0.30313358,0.2979071,0.31150186,0.3283113,0.33342636,0.3244506,0.3110535,0.30282024,0.30061272,0.29740694,0.28694287,0.2695127,0.25148156,0.24009627,0.23937942,0.24868488,0.26320395,0.27633283,0.28276715,0.2817457,0.27645874,0.27115026,0.2667971,0.26094833,0.2502611,0.23577298,0.2239242,0.22323175,0.23692064,0.26068202,0.28577435,0.30612984,0.31855282,0.32116398,0.30967283,0.28356367,0.24986835,0.22557282,0.22622353,0.2533224,0.2901146,0.31318483,0.3146691,0.3061212,0.30901384,0.32836163,0.35227367,0.35974917,0.34570083,0.31904146,0.29685614,0.2860324,0.28494814,0.2866291,0.28777516,0.28816453,0.289498,0.29102993,0.29004356,0.28305402,0.27148375,0.26084432,0.2582774,0.26596949,0.28106618,0.29821578,0.31349984,0.32565615,0.3347896,0.34153378,0.3459773,0.34777012,0.34619173,0.34226474,0.3396884,0.34406856,0.35531506,0.36635795,0.36517802,0.3493633,0.3258387,0.30708775,0.29454812,0.28097668,0.25545898,0.21781307,0.17734222,0.14902996,0.14186887,0.15565525,0.1810904,0.20848471,0.23368824,0.26066005,0.29254356,0.3257879,0.34807912,0.3512765,0.33757448,0.32001853,0.3098304,0.3104292,0.31723964,0.32442817,0.3289205,0.33074918,0.32981515,0.32368013,0.30867037,0.2846717,0.25753704,0.23661976,0.22939573,0.23755048,0.25752985,0.2819757,0.30376637,0.31810465,0.32494703,0.32647327,0.32492885,0.3198692,0.30948532,0.29287478,0.27289322,0.2561253,0.24873316,0.25198007,0.26126492,0.27069205,0.27754977,0.280394,0.2765132,0.26004323,0.23056674,0.19658096,0.17656024,0.18572952,0.22465037,0.27498713,0.31166196,0.32353404,0.31978813,0.32160783,0.3378955,0.36088637,0.37159458,0.36222896,0.33791152,0.3133006,0.29659715,0.28908136,0.2865158,0.28680363,0.28959355,0.2955,0.3014439,0.3012183,0.28748825,0.25961754,0.22492039,0.19682837,0.18615663,0.19758381,0.22748625,0.26727435,0.30584073,0.3350142,0.35131884,0.35620865,0.35180137,0.33954465,0.32275185,0.30913165,0.30914333,0.3235171,0.34057307,0.34042826,0.3171974,0.28140607,0.25461486,0.24585931,0.25037536,0.25328025,0.2470908,0.23303556,0.22143275,0.22093089,0.23510547,0.2583163,0.28273007,0.3037449,0.3248379,0.34993246,0.3775551,0.39826998,0.40530992,0.4002954,0.3932891,0.3911375,0.39118347,0.38247833,0.35706052,0.31849816,0.2812408,0.25925544,0.2550452,0.2581572,0.25483185,0.23896444,0.21588577,0.19792753,0.19568819,0.21235143,0.24171889,0.27323523,0.29786488,0.31291166,0.32057676,0.32399532,0.3238387,0.31877223,0.30876064,0.29780376,0.2932199,0.30050644,0.31855014,0.33962294,0.35507467,0.36077762,0.35616192,0.34105316,0.31317833,0.27499047,0.23689246,0.21733953,0.22948585,0.2701232,0.31848928,0.3498595,0.3563486,0.3487625,0.34771934,0.35878193,0.37286603,0.37165523,0.3514485,0.3210373,0.2972988,0.28683078,0.2871858,0.29059947,0.2937251,0.29758486,0.30463085,0.3136327,0.3194878,0.31516472,0.29805806,0.27154133,0.24535848,0.22945334,0.22978024,0.24506016,0.26809263,0.29000908,0.30338275,0.30528596,0.29651728,0.28209236,0.26846203,0.2633566,0.27266133,0.29930434,0.33577856,0.3661593,0.37158337,0.34895042,0.31188962,0.28378728,0.275414,0.28126416,0.28386083,0.2711381,0.24219905,0.20809168,0.18191294,0.17265756,0.18027444,0.19981427,0.22573459,0.25754586,0.29476735,0.33313632,0.36061096,0.36886647,0.35988566,0.3482976,0.34665087,0.3556815,0.3636506,0.3590701,0.34164527,0.3211235,0.30738795,0.3007456,0.29391906,0.27961802,0.25744796,0.23302217,0.21370889,0.20416254,0.2048892,0.2122324,0.22113733,0.2279137,0.233068,0.2393655,0.24938245,0.26201758,0.27429485,0.28280577,0.28686652,0.28758278,0.2874787,0.28817442,0.29041708,0.2936038,0.29702297,0.29820502,0.29403675,0.2812058,0.26208565,0.24496575,0.2420743,0.2598802,0.29265237,0.3236793,0.33571148,0.3262457,0.30834678,0.3021783,0.31329897,0.33111453,0.334878,0.31716,0.28500673,0.255754,0.23806258,0.23106943,0.22705078,0.22250386,0.21876203,0.22011296,0.22512627,0.22604162,0.21121944,0.17785124,0.13415842,0.09757314,0.08122718,0.08924811,0.11462494,0.14647406,0.17438775,0.19389756,0.20491427,0.21060257,0.21259119,0.21256173,0.2134205,0.22207081,0.24476032,0.27760956,0.3051078,0.3074609,0.28203163,0.24396826,0.218524,0.21505336,0.22646113,0.23456596,0.2311467,0.21979643,0.21388154,0.22283943,0.24802832,0.28137818,0.31374303,0.3406423,0.36537412,0.3909477,0.41315126,0.4187067,0.39868847,0.35957885,0.32406625,0.3135105,0.33057132,0.3569807,0.36941755,0.3594575,0.33679208,0.3175107,0.30772403,0.30085173,0.28592956,0.2591274,0.22721045,0.20321743,0.19746162,0.21174867,0.23803568,0.2646894,0.28275836,0.2906386,0.29114738,0.2874709,0.28006077,0.26856586,0.25445274,0.24189164,0.23578365,0.23853321,0.24890022,0.26298034,0.27734694,0.29037082,0.2997761,0.30074796,0.28655198,0.25787264,0.22674249,0.2145498,0.23540257,0.28344783,0.33348644,0.3583212,0.35242593,0.33281144,0.3265338,0.340102,0.35962704,0.35909632,0.33272028,0.293009,0.26447406,0.2566404,0.26570466,0.2780672,0.28587684,0.28771505,0.2891992,0.29538307,0.3074956,0.31895125,0.32207265,0.31310496,0.2977939,0.2851638,0.28139603,0.28464064,0.2882756,0.28794858,0.28539583,0.2880553,0.3016244,0.3261981,0.35463798,0.380114,0.4006379,0.42046487,0.43920338,0.44909945,0.43751836,0.404425,0.3621632,0.33014262,0.31535554,0.31342915,0.31181145,0.30452278,0.2922109,0.28263354,0.28158578,0.2911863,0.30739072,0.32549894,0.34316328,0.36303386,0.38608113,0.40716907,0.4140813,0.40042505,0.37329853,0.3521521,0.3512642,0.36693612,0.37964523,0.37113056,0.3415638,0.307134,0.28536296,0.27775696,0.27201307,0.25401816,0.22197397,0.18578486,0.15929307,0.14983876,0.15635389,0.17159556,0.18835454,0.20221506,0.21266317,0.22029893,0.22527951,0.2263385,0.22321522,0.2172398,0.21161322,0.20860039,0.208888,0.21120055,0.21469463,0.2198776,0.22855751,0.23911934,0.2449562,0.2358963,0.2092489,0.17543846,0.15654077,0.17024533,0.21431191,0.26546395,0.29484105,0.29439184,0.27985442,0.2790775,0.2999324,0.3283113,0.33661535,0.31573272,0.27578,0.24021709,0.22116143,0.21866857,0.22347517,0.22987829,0.23632973,0.24478234,0.25307998,0.25451508,0.23910443,0.2052447,0.16273496,0.13116847,0.12587358,0.14985885,0.19237678,0.2371368,0.2720838,0.29370302,0.30621722,0.3151202,0.32331386,0.32976827,0.3344185,0.34092972,0.3563844,0.3801812,0.4020203,0.40460312,0.3844173,0.35223544,0.32896873,0.32248965,0.32805514,0.33170965,0.32712197,0.31611964,0.30791858,0.30839512,0.31684935,0.32322106,0.31668591,0.2927617,0.25989386,0.2332505,0.22496884,0.23514538,0.2535746,0.26830968,0.27353168,0.27082166,0.26423505,0.2559422,0.24530165,0.23184963,0.21802683,0.20970814,0.21245305,0.22796278,0.2513857,0.27498507,0.2908949,0.2950407,0.28586072,0.26486441,0.23563392,0.204691,0.1797415,0.16805881,0.1718951,0.18735772,0.2037124,0.21132344,0.20606647,0.19424365,0.18556881,0.18756564,0.19938809,0.2150597,0.22842576,0.23712815,0.24183762,0.24289985,0.23898661,0.22866853,0.21331601,0.1985132,0.19116682,0.19500355,0.20719521,0.22027136,0.22753815,0.22677238,0.22032857,0.21151881,0.20317154,0.19630273,0.19176699,0.18896502,0.18741284,0.18467195,0.17870347,0.16692428,0.14959432,0.12907536,0.11040134,0.09820936,0.094676204,0.097874425,0.102825224,0.10534322,0.10535694,0.10784876,0.11813444,0.13784318,0.16267745,0.18689352,0.20608217,0.21968256,0.22844039,0.23376268,0.23629127,0.23635542,0.2336757,0.2277856,0.21871929,0.2069584,0.19347398,0.17925628,0.1670738,0.161031,0.16505523,0.17817645,0.1942355,0.20560597,0.20959248,0.21071827,0.21627915,0.23044245,0.24967344,0.26620436,0.27277127,0.2684249,0.25708744,0.24418618,0.23204459,0.21998136,0.20668225,0.19311929,0.18287723,0.18003936,0.18625726,0.19949688,0.21524239,0.22890712,0.23713072,0.2376898,0.22925746,0.21245503,0.19115698,0.17196804,0.16157003,0.16317324,0.17555143,0.19391982,0.2125132,0.22606258,0.23126198,0.22804642,0.22011304,0.21330434,0.2114365,0.21330051,0.21394461,0.20970689,0.2020338,0.19560306,0.19339032,0.19420896,0.19453548,0.1928583,0.18940766,0.18567342,0.18121727,0.17711826,0.17634495,0.1860206,0.2111255,0.25106886,0.29599825,0.3327153,0.35012254,0.34513068,0.3214581,0.28773662,0.25328234,0.22585039,0.2090383,0.20234434,0.2021203,0.20424294,0.20558996,0.20528983,0.20372985,0.20204084,0.20041876,0.19866078,0.19609356,0.1931176,0.19117534,0.19281264,0.19987214,0.21184796,0.22515833,0.23494087,0.23836188,0.2366618,0.23454688,0.23640913,0.24318226,0.25102827,0.2545059,0.25000563,0.23841016,0.22354765,0.20986618,0.2002082,0.1964935,0.20053095,0.2138713,0.23365383,0.25174764,0.2573355,0.24697389,0.2263519,0.20737348,0.19685103,0.194911,0.1963526,0.19923706,0.20694686,0.22871964,0.26923713,0.3217729,0.36607406,0.38484564,0.37799776,0.3649861,0.36621353,0.38353345,0.40023112,0.3967494,0.372197,0.34139636,0.32260182,0.31790933,0.31673673,0.30530426,0.28105736,0.25172538,0.2297356,0.22256811,0.22994028,0.24423997,0.25659582,0.26155135,0.25968537,0.2545624,0.24953616,0.24561177,0.24300236,0.24197185,0.24389295,0.24943893,0.25810328,0.26685777,0.27347195,0.27816382,0.28504977,0.29534474,0.3040899,0.3002998,0.27887163,0.24810994,0.22902207,0.24074197,0.2841737,0.33954766,0.37828708,0.38845882,0.3799367,0.37712178,0.3892081,0.40674195,0.40707684,0.38346744,0.3454821,0.31377837,0.29757348,0.29503003,0.2967659,0.29794958,0.2985799,0.30204496,0.30801055,0.311059,0.30202764,0.27747425,0.24322982,0.2130738,0.19883241,0.20435464,0.2240703,0.24740224,0.26464856,0.2715523,0.27023873,0.26601127,0.2628181,0.26168987,0.26418707,0.27537417,0.3028071,0.34473243,0.38743046,0.4092152,0.40319404,0.37983355,0.36106837,0.3554404,0.35661927,0.3494676,0.3285991,0.29983363,0.27664712,0.26850787,0.2774466,0.296477,0.31647488,0.33182573,0.34604028,0.36484814,0.3875287,0.40186667,0.3965496,0.37469053,0.35530958,0.35633695,0.37655064,0.39665043,0.39606142,0.37282702,0.34210983,0.3222613,0.31668988,0.3151389,0.30408666,0.2809951,0.25367734,0.23425324,0.22887182,0.23659933,0.25054798,0.2639173,0.2725899,0.2768947,0.27909493,0.2808567,0.28173825,0.2806008,0.27756742,0.27465355,0.27415445,0.27692983,0.2815483,0.2868501,0.2934651,0.30492964,0.32165924,0.3390291,0.34663916,0.33909562,0.3210713,0.30811334,0.3142061,0.33899927,0.3665819,0.37577066,0.36273897,0.3415669,0.3370414,0.35472444,0.38157323,0.3903438,0.37130916,0.33147612,0.29276088,0.26716986,0.2569745,0.25471267,0.25549495,0.25761035,0.2630667,0.27164724,0.27919015,0.2774389,0.2625866,0.23830146,0.21597482,0.20434396,0.20576406,0.21448128,0.22343886,0.22766519,0.22735107,0.22558784,0.22562425,0.2282119,0.23165715,0.23676194,0.2480458,0.27375594,0.31176615,0.34936747,0.3643583,0.3509198,0.3194445,0.2942263,0.28464255,0.2853888,0.2799331,0.26201308,0.23581631,0.21211474,0.19657077,0.18914075,0.18685932,0.1884043,0.1957444,0.21409975,0.24863891,0.29748312,0.34698585,0.3791876,0.3873825,0.38398662,0.3887824,0.4081761,0.42967793,0.4350059,0.42008993,0.3961233,0.37751386,0.36611387,0.35220948,0.32437083,0.28211865,0.23671167,0.20521267,0.19858974,0.21661098,0.24761622,0.27734956,0.29616496,0.30341828,0.30390692,0.30258882,0.3007992,0.29717693,0.29057848,0.28236973,0.2755356,0.2728546,0.27431998,0.2786506,0.28475404,0.2946202,0.30919886,0.32540023,0.33376443,0.32731006,0.3095633,0.29687598,0.30675074,0.341077,0.38292316,0.40641806,0.40287718,0.3839152,0.37578464,0.38774005,0.41058993,0.41918096,0.40382615,0.370284,0.33866253,0.31944576,0.3140492,0.31529942,0.31995752,0.3275783,0.3396586,0.3523557,0.35749602,0.34475175,0.31186223,0.2671772,0.22832443,0.21089296,0.22058289,0.2503599,0.28571367,0.31378022,0.3287345,0.33323607,0.3325226,0.3308885,0.32890794,0.32845592,0.33364066,0.35170925,0.38071147,0.409598,0.41881108,0.40355745,0.37323058,0.35029614,0.34375325,0.3493731,0.35064253,0.33922923,0.31633544,0.29279485,0.27685165,0.27160537,0.2734258,0.27893075,0.2884017,0.30774984,0.34041116,0.37963247,0.4073839,0.40816918,0.3850203,0.3601123,0.35779774,0.3809599,0.40989494,0.417518,0.3962129,0.35929164,0.3295922,0.315472,0.31013903,0.2996895,0.28029227,0.2581212,0.24391139,0.24257232,0.25234452,0.26727796,0.28196588,0.29340708,0.30107605,0.30569744,0.30791387,0.30760872,0.30463818,0.29960766,0.29442123,0.29128584,0.29163274,0.2955283,0.3024894,0.31258383,0.32597277,0.34028092,0.349043,0.34396318,0.3221097,0.29228494,0.2731498,0.28271616,0.32047114,0.36582375,0.38783658,0.37598333,0.34491292,0.32781073,0.33863866,0.3666947,0.38047493,0.36469173,0.3251834,0.28662956,0.26491317,0.26266477,0.27022544,0.2793497,0.28709427,0.2963858,0.30899608,0.3217651,0.3255593,0.31479597,0.2918634,0.2676963,0.25138304,0.246311,0.24957474,0.2576879,0.2677988,0.27842352,0.28768864,0.29447448,0.2980856,0.29978797,0.30355796,0.31601974,0.3439034,0.38307747,0.41844198,0.42691293,0.40230438,0.35599986,0.31400952,0.28693596,0.26907945,0.24183466,0.19851673,0.14558457,0.09886155,0.06721747,0.050623283,0.042563725,0.039570045,0.04547122,0.072116524,0.12940563,0.21294677,0.29889557,0.35873726,0.38205543,0.38392714,0.38948777,0.40719965,0.4251485,0.42418635,0.4023323,0.37287986,0.35300562,0.34408966,0.33540717,0.31318697,0.27592796,0.23365293,0.20303531,0.19481404,0.20957142,0.23693793,0.26430944,0.28305444,0.2924964,0.2959173,0.29650143,0.29473975,0.29003015,0.28241995,0.27331206,0.2649769,0.25967124,0.25886407,0.26284477,0.2712458,0.28401825,0.299785,0.3137853,0.3169302,0.3025128,0.27461693,0.25070646,0.25227964,0.28520787,0.33488762,0.37277165,0.38612354,0.38181093,0.38364062,0.3988725,0.41802433,0.4171886,0.39021292,0.34755147,0.31264958,0.29682514,0.29907942,0.3090931,0.32048973,0.33155695,0.34343398,0.35355547,0.35552037,0.34154782,0.3109045,0.27166504,0.23865545,0.22411944,0.23219652,0.25702804,0.28673157,0.31052205,0.32389292,0.32993758,0.33355185,0.33696222,0.33813933,0.33730134,0.33971488,0.35540023,0.3847984,0.4157398,0.42531395,0.40525997,0.3662376,0.33439365,0.32310352,0.3284068,0.33298787,0.32707253,0.31166005,0.29606378,0.28653267,0.28502512,0.28926829,0.29808313,0.31221262,0.33525705,0.36762235,0.4014794,0.4208471,0.41403773,0.38713828,0.36283657,0.36357084,0.389616,0.41953468,0.42563963,0.40059602,0.35897294,0.3256228,0.3105446,0.30619273,0.29607546,0.27374652,0.2453503,0.22384648,0.21678479,0.22358648,0.2372577,0.25063178,0.25950757,0.26434124,0.26760954,0.27104917,0.273074,0.27124465,0.2647951,0.25705138,0.25263578,0.25439596,0.26107755,0.26962224,0.27841476,0.28903797,0.30231377,0.3144941,0.316263,0.30103728,0.27390698,0.25321698,0.2599732,0.29692742,0.34508336,0.37175843,0.36481205,0.33730766,0.3239989,0.33992875,0.37593934,0.39901772,0.39220393,0.35818145,0.31968796,0.29087687,0.27567816,0.268078,0.26533136,0.26786125,0.278548,0.29598272,0.31350198,0.31966624,0.3082689,0.28227213,0.25391576,0.23381273,0.22614235,0.22787549,0.23434639,0.24190593,0.24844234,0.25300798,0.25515032,0.25559342,0.25518024,0.25778803,0.26929876,0.29791117,0.34104407,0.3850079,0.40561402,0.3946124,0.3616176,0.33291736,0.3214912,0.32490125,0.32700682,0.31980702,0.30453953,0.29001653,0.28116366,0.2789588,0.28091574,0.28635624,0.29729947,0.3191665,0.35428715,0.3955301,0.42547238,0.4291067,0.40907976,0.38589463,0.38194728,0.39926335,0.42032686,0.4223249,0.40172353,0.37238765,0.3541287,0.35082364,0.35222077,0.3434399,0.32140055,0.29487014,0.27715597,0.27494517,0.28603792,0.3032066,0.3201814,0.3342341,0.34514627,0.3532786,0.358287,0.35943606,0.3565307,0.35066828,0.34448794,0.34092653,0.3419936,0.34706935,0.35398448,0.36032104,0.36593595,0.3713034,0.37606552,0.3769978,0.3714031,0.3615826,0.35640815,0.36687627,0.39275524,0.42061767,0.42846152,0.41132018,0.38354576,0.37353495,0.38979876,0.41865802,0.43019262,0.4122078,0.37288395,0.3355305,0.31399176,0.3099724,0.3155875,0.32385412,0.33061084,0.3352307,0.337751,0.33767983,0.3325012,0.32181215,0.30795774,0.2958143,0.28796315,0.2850654,0.2870214,0.2937726,0.30400965,0.31475446,0.32365856,0.32991418,0.33417985,0.33737528,0.34291515,0.3562782,0.38382348,0.42215505,0.45855525,0.47324812,0.4604003,0.4292082,0.40176547,0.38970688,0.3916099,0.39476445,0.3915163,0.38172898,0.37142527,0.36415577,0.35931978,0.35244712,0.34149504,0.3302484,0.3296654,0.34745836,0.37809488,0.40048873,0.3952721,0.3641634,0.33220482,0.32756808,0.35473096,0.39220336,0.40961108,0.39671353,0.36549178,0.33835936,0.3231678,0.31267956,0.29273906,0.26054594,0.22449808,0.198995,0.19211823,0.20386595,0.22674794,0.25205922,0.2727121,0.2860513,0.29233864,0.29359773,0.29129598,0.28696492,0.2820942,0.27870527,0.27795652,0.27968514,0.2825373,0.28590652,0.2911934,0.3012984,0.31649175,0.33153364,0.33618358,0.3228842,0.2958564,0.27224088,0.273622,0.30412903,0.3468636,0.36955425,0.3602351,0.33151063,0.3177959,0.33265117,0.36516225,0.38145897,0.36558142,0.3230538,0.28011018,0.25373212,0.24814408,0.2543033,0.26448783,0.2746277,0.28568658,0.29680502,0.30379608,0.29861298,0.278217,0.24728744,0.21777557,0.19929218,0.19515009,0.20222431,0.21550827,0.23060668,0.24443482,0.25541475,0.2634301,0.26966253,0.2753736,0.28336167,0.29798806,0.3260616,0.36634508,0.40820393,0.43093514,0.42600843,0.39980295,0.37358138,0.3580465,0.35110775,0.33918965,0.31656516,0.2866449,0.26041773,0.24540742,0.24397595,0.25307116,0.2673388,0.2799351,0.28376642,0.27348956,0.24816382,0.21237694,0.17446677,0.14226127,0.11989815,0.1076893,0.10381379,0.10564533,0.10939186,0.111421846,0.109673314,0.10524771,0.09983791,0.09384357,0.085320555,0.0737368,0.061983377,0.056810807,0.06386935,0.08379362,0.110016905,0.13268082,0.14410661,0.14320517,0.13463463,0.12451432,0.1163253,0.109813035,0.10330775,0.09615121,0.08948625,0.08434242,0.08007565,0.074573465,0.066870816,0.058762107,0.054332945,0.056567013,0.06505311,0.07555879,0.08366849,0.087753445,0.09073907,0.096609354,0.10717981,0.119462825,0.1287704,0.13179679,0.12912847,0.12325582,0.11641411,0.10924751,0.101969965,0.09589231,0.09418919,0.10021176,0.11496037,0.1351093,0.15505995,0.17034185,0.18043174,0.18730055,0.19276284,0.19664681,0.19784485,0.19603772,0.19236238,0.18863903,0.18589829,0.18416668,0.18247414,0.18027169,0.17742895,0.17500375,0.17390959,0.17471467,0.17651248,0.17794365,0.17803788,0.17748712,0.17810433,0.18157674,0.18798095,0.19567613,0.20210963,0.20496905,0.20305216,0.19633184,0.18619817,0.17479007,0.1651126,0.15987854,0.16080563,0.16710995,0.17579989,0.18301004,0.18616253,0.18485163,0.18045954,0.17483608,0.16932286,0.16426267,0.15983798,0.15687321,0.15694007,0.16053712,0.16603266,0.17020686,0.17099237,0.16865672,0.16541998,0.16296256,0.16143852,0.1593705,0.15563186,0.15037589,0.14551288,0.14282073,0.1429864,0.14477159,0.1469047,0.1487269,0.15097284,0.15411167,0.1580636,0.16173542,0.16409405,0.164638,0.16392823,0.163202,0.16334161,0.16437335,0.16547827,0.16612653,0.16575295,0.16374625,0.15911603,0.15187751,0.14343245,0.13640575,0.13332345,0.13583034,0.14350975,0.15372173,0.16216914,0.16595115,0.164991,0.16197215,0.15929304,0.15776974,0.15656595,0.1549734,0.15318036,0.15243833,0.15381138,0.15736054,0.16165899,0.16513668,0.16709657,0.16837193,0.170179,0.17297126,0.17579867,0.1770948,0.17623271,0.17425513,0.17329848,0.17457207,0.17754017,0.18059458,0.18340035,0.18781228,0.19706762,0.21318503,0.23538549,0.26018596,0.2834401,0.30293402,0.31937212,0.3355453,0.35310352,0.37113413,0.3869368,0.39866182,0.40678272,0.41113734,0.41053367,0.40177608,0.3852891,0.36254957,0.33540714,0.30119154,0.25834897,0.20970352,0.16561167,0.13978775,0.14536488,0.18778445,0.25650546,0.3256116,0.36699072,0.37471926,0.36664107,0.37032536,0.39102897,0.4133415,0.41262838,0.38685834,0.35086071,0.32744983,0.3199447,0.31748426,0.30105445,0.26495123,0.2175286,0.18021727,0.17095108,0.19550176,0.24141584,0.2888541,0.32177392,0.33741894,0.3422773,0.344805,0.34860694,0.35253426,0.35368407,0.35047546,0.3433366,0.33377528,0.32336083,0.3141065,0.3088195,0.3104049,0.31792882,0.32428244,0.31874666,0.2958583,0.26469043,0.2460319,0.26157463,0.31162158,0.3749325,0.41684803,0.42435572,0.4095982,0.4044677,0.42164138,0.44994938,0.46023652,0.4397447,0.39755067,0.35807106,0.33668518,0.3338852,0.33999634,0.34746727,0.35478127,0.3635662,0.3718779,0.3724105,0.3554033,0.31770858,0.26622567,0.21717174,0.18752223,0.18755025,0.21533866,0.25793588,0.29907644,0.32793832,0.34323183,0.34974408,0.35258102,0.35445336,0.35810176,0.36861253,0.3929788,0.42881,0.4623172,0.47121668,0.44905213,0.4075671,0.37145224,0.349977,0.3362652,0.31434706,0.28153443,0.24733098,0.22626956,0.2233122,0.23402071,0.24926679,0.2635552,0.27840987,0.3005849,0.33520722,0.37486055,0.40110043,0.3961414,0.36532727,0.33410725,0.3326944,0.36372057,0.40569165,0.4255298,0.41385517,0.3824427,0.35675204,0.3456111,0.34232154,0.3288132,0.2971553,0.25156203,0.20852195,0.1835119,0.18536185,0.2101853,0.24723189,0.28429785,0.31513238,0.33866403,0.3562058,0.36743006,0.37002805,0.36266384,0.3480586,0.33290008,0.32340077,0.32093155,0.322692,0.32561186,0.3292242,0.33268598,0.3312929,0.31764278,0.28896976,0.2556345,0.2374147,0.25389382,0.30288014,0.36280677,0.39942697,0.4015509,0.38156924,0.37253368,0.38740578,0.41639593,0.4297538,0.41398022,0.37629712,0.34070897,0.32277843,0.32461607,0.33789298,0.35496894,0.37161866,0.38576087,0.39406958,0.3926324,0.37817922,0.35357654,0.32588717,0.3049334,0.2952588,0.297048,0.30551818,0.31654468,0.3261299,0.33340213,0.3373088,0.33818302,0.33461258,0.32701534,0.31846824,0.31711748,0.3330288,0.3663281,0.40455306,0.42409375,0.41565958,0.387144,0.3628935,0.35487244,0.3608589,0.3653139,0.36083516,0.34823644,0.33618966,0.3290756,0.32798302,0.33018205,0.33498824,0.34401283,0.36156344,0.38937247,0.42019832,0.4394201,0.4340931,0.4099631,0.38685814,0.3876687,0.41099796,0.4376843,0.44050002,0.41665086,0.3812255,0.35855296,0.35197356,0.34861264,0.327407,0.28274783,0.22474885,0.17550135,0.1529405,0.16383812,0.19962788,0.24371688,0.28043404,0.30337498,0.31475458,0.32007125,0.3222146,0.3211775,0.31650147,0.309847,0.30404136,0.300864,0.2996247,0.29899386,0.29958972,0.3043095,0.31382075,0.32236457,0.31936294,0.29819128,0.26655045,0.24424212,0.2535914,0.29650816,0.35505918,0.3963968,0.40807232,0.3982946,0.39524743,0.4086707,0.43055895,0.43630144,0.4178972,0.3831239,0.35250068,0.33550188,0.33102658,0.3300932,0.32901743,0.32856175,0.33283472,0.34054828,0.34483913,0.3337371,0.3013517,0.25241986,0.20353062,0.17344396,0.17391132,0.20361535,0.24890427,0.2924969,0.32259485,0.33814836,0.3448577,0.34851435,0.35177696,0.35666597,0.36698142,0.3876475,0.4151443,0.43780053,0.4385084,0.4153161,0.3800135,0.35366723,0.34157047,0.33463207,0.31587052,0.28207037,0.24369055,0.21815534,0.21423803,0.22942884,0.25311184,0.27551046,0.2940865,0.31466743,0.34507844,0.38233197,0.4107194,0.4119227,0.38755858,0.35922468,0.3558632,0.38198376,0.41901246,0.43462694,0.41878164,0.38204858,0.35128725,0.33713666,0.33525062,0.32744384,0.30486062,0.268614,0.23202263,0.20754813,0.20401375,0.22005813,0.2489812,0.280906,0.3096768,0.33230028,0.34895027,0.35998312,0.3659612,0.36715725,0.3641659,0.35777202,0.34914133,0.3394415,0.33060196,0.32538024,0.32666263,0.33362767,0.3392327,0.33299053,0.30919242,0.27696636,0.25636637,0.26907447,0.31462398,0.3727056,0.4083878,0.4092734,0.38629016,0.3728901,0.38385805,0.4120336,0.42831063,0.41767517,0.3842759,0.35040453,0.33136904,0.3301299,0.3383315,0.34843507,0.35720897,0.3656027,0.37317526,0.37664616,0.37029982,0.35318804,0.33049405,0.312216,0.30507365,0.3098509,0.3208885,0.33101192,0.33455476,0.33175698,0.32582256,0.3215612,0.31951812,0.31951705,0.32189265,0.33176062,0.35558844,0.39191005,0.42867664,0.4452382,0.43453494,0.40449545,0.37645784,0.3584734,0.3461232,0.325902,0.2956353,0.26296878,0.2409413,0.23688938,0.2504399,0.27529445,0.30196527,0.32517433,0.34480858,0.3666505,0.38981977,0.4075377,0.40923584,0.39815864,0.3864731,0.390038,0.4060625,0.42002532,0.41131303,0.3797694,0.34006846,0.31576002,0.31184724,0.31771514,0.31356692,0.29329786,0.26447546,0.2440781,0.24322574,0.26358125,0.29645747,0.32985127,0.35422313,0.36682442,0.37057662,0.36991653,0.36756715,0.36414862,0.359665,0.35461357,0.3501244,0.34712008,0.3456403,0.3447828,0.34439316,0.3454807,0.34836468,0.3487626,0.33862987,0.31190094,0.27502802,0.2455319,0.2453221,0.27775502,0.32805946,0.36603174,0.3793706,0.3737644,0.37265825,0.3839444,0.40001273,0.40110853,0.38176182,0.35229686,0.33163556,0.3289723,0.3401624,0.35456637,0.3647635,0.3701618,0.3729321,0.37338838,0.3673999,0.34947148,0.3186166,0.2819969,0.2523043,0.24057503,0.2503411,0.27674642,0.30975673,0.33892116,0.3575531,0.3641242,0.36158994,0.35445735,0.34727407,0.34451127,0.35043073,0.36824855,0.3930749,0.4131563,0.41289523,0.39060053,0.35777998,0.33449987,0.3275745,0.3303173,0.3270601,0.3104113,0.28281415,0.2549637,0.23629276,0.23257929,0.24324739,0.2639407,0.28910026,0.3166956,0.34751844,0.37873718,0.40081823,0.40194106,0.38385844,0.36215177,0.3586272,0.3760401,0.39963886,0.40468422,0.38585576,0.3546567,0.33277416,0.32566163,0.3256395,0.31767213,0.29777262,0.27097368,0.24816109,0.23591731,0.23603326,0.24449074,0.255808,0.26547894,0.27330777,0.28145254,0.2915915,0.30235124,0.3110839,0.3161799,0.3184447,0.32023552,0.3240627,0.3313818,0.34197357,0.35436252,0.36603132,0.37287688,0.36872736,0.34868896,0.3142254,0.2781672,0.25832975,0.26988724,0.30860695,0.35642472,0.3859731,0.39028856,0.37899694,0.37712035,0.39081058,0.4104918,0.41328332,0.39343417,0.3608903,0.33662495,0.33029196,0.33938816,0.352983,0.36420903,0.3714005,0.37590563,0.3744342,0.35834023,0.31775248,0.2528583,0.17797953,0.11677751,0.08880868,0.09963167,0.1392677,0.1887899,0.23057006,0.2561703,0.2667568,0.2686371,0.26620194,0.2621728,0.25938502,0.26472726,0.2857879,0.32175282,0.35912713,0.3753878,0.36039266,0.3227891,0.28815413,0.27237663,0.2752459,0.28041586,0.27765736,0.26713106,0.26050174,0.26566124,0.283962,0.30821034,0.3316871,0.35129246,0.3695189,0.38924393,0.40692797,0.41333315,0.39937305,0.37100983,0.34555033,0.34395576,0.3667722,0.39802828,0.41199926,0.4017006,0.37597108,0.35471836,0.34328875,0.3350258,0.31590256,0.28365964,0.24697994,0.22136082,0.21633492,0.23245592,0.26136112,0.2917584,0.31456807,0.3266153,0.329849,0.3278471,0.3230078,0.31684557,0.31125483,0.30927634,0.31355622,0.32546225,0.34350932,0.36405063,0.38227582,0.394233,0.39611283,0.3827816,0.34959936,0.29833633,0.24413003,0.21062683,0.21908021,0.26817685,0.33494592,0.38313028,0.3962901,0.38327512,0.37474048,0.38671312,0.41197953,0.42365363,0.40745893,0.37118387,0.33901414,0.32668555,0.333297,0.3459737,0.35491088,0.35828963,0.3604916,0.36369932,0.36496627,0.35719466,0.3372068,0.30958223,0.28526294,0.27383885,0.27824977,0.2943633,0.3142501,0.3307503,0.34068993,0.3457718,0.35014844,0.35641906,0.364048,0.372066,0.38226497,0.39914212,0.42118847,0.4381484,0.43439615,0.40674093,0.36766425,0.33851898,0.32777652,0.32773507,0.32180253,0.30299756,0.27682006,0.25687554,0.25210074,0.26296103,0.28172693,0.29952553,0.312822,0.32555643,0.3451065,0.37030855,0.3896327,0.38694653,0.36245894,0.33340096,0.32587996,0.34476694,0.37390223,0.3836329,0.3656273,0.33132693,0.30578148,0.29552534,0.29122874,0.2740553,0.24022032,0.19956894,0.17022322,0.16235863,0.17647624,0.20384987,0.23405552,0.2582755,0.27332458,0.28045717,0.2831366,0.28339306,0.28199732,0.27954194,0.27817154,0.2807339,0.2895331,0.30442226,0.32261345,0.34040734,0.3546467,0.36207005,0.3563454,0.33012643,0.28105715,0.2215233,0.1754052,0.16948557,0.20937522,0.27724382,0.3353181,0.36226138,0.36116958,0.3602464,0.3754138,0.4014865,0.4141167,0.40062293,0.36826602,0.3390157,0.32760218,0.33409742,0.34814903,0.36097717,0.36990008,0.37605155,0.37731826,0.3657976,0.33141813,0.27273855,0.20350188,0.14866105,0.13097538,0.15706243,0.21584539,0.28468645,0.34391353,0.38259277,0.4010383,0.40388986,0.39698434,0.38455865,0.37140158,0.36382186,0.36905488,0.3878932,0.41084656,0.4203771,0.40787637,0.38048398,0.35742006,0.3496761,0.35354292,0.3556138,0.3480446,0.33304343,0.3178592,0.3062272,0.29548454,0.28114665,0.26169366,0.24089569,0.22455116,0.2171339,0.2189929,0.22665252,0.23539376,0.24218631,0.24682052,0.24926133,0.24774891,0.23924758,0.22313982,0.20238928,0.18274032,0.16987854,0.16846669,0.18028629,0.20279546,0.22856121,0.24833119,0.25530198,0.24786772,0.22904773,0.2045633,0.18043269,0.16188703,0.1522339,0.15254171,0.16021858,0.16964597,0.17408033,0.17116301,0.16505253,0.16604866,0.18236804,0.21508165,0.25454473,0.2876516,0.3031174,0.29782483,0.27467376,0.24161972,0.20713907,0.17879003,0.16038226,0.15344603,0.15740515,0.1706361,0.18848605,0.20442379,0.21260822,0.21142322,0.20353056,0.19294153,0.18266745,0.1736527,0.16575764,0.15763249,0.1475238,0.13394003,0.117352664,0.10010859,0.08539838,0.07559728,0.07194644,0.07434246,0.08108903,0.088515244,0.09326881,0.09571776,0.10223013,0.12130302,0.15686971,0.2033509,0.24871929,0.281656,0.29744187,0.2980846,0.28900674,0.27591047,0.26266015,0.2512347,0.24176566,0.23409577,0.22680552,0.2180828,0.2047417,0.18670885,0.16701122,0.15444028,0.15630527,0.17517503,0.20289592,0.22765748,0.24064219,0.24349271,0.24377458,0.2484563,0.25782183,0.26754376,0.27230763,0.26975513,0.26012093,0.24543647,0.22765054,0.20856446,0.19046988,0.17756553,0.17477305,0.18469197,0.20405906,0.2258187,0.24328293,0.25452545,0.2599517,0.25916693,0.24899493,0.22810788,0.20067836,0.17687379,0.16691764,0.17498702,0.19741596,0.22483642,0.24866201,0.26355723,0.26995602,0.27037403,0.26836216,0.2656754,0.263261,0.26079485,0.25797102,0.25431743,0.25035942,0.24666995,0.24413,0.2420671,0.23978972,0.23544109,0.22892588,0.21943612,0.20885111,0.19884662,0.19478403,0.20029451,0.21756494,0.24165075,0.26502034,0.2795023,0.28151226,0.27090493,0.25057814,0.22542208,0.20145167,0.18400733,0.17528243,0.17403762,0.17660399,0.17916,0.17953645,0.1779293,0.17593801,0.17500295,0.17525794,0.17604332,0.17654061,0.17666002,0.17681384,0.17773877,0.18001093,0.18363656,0.18804115,0.19211344,0.1952459,0.19759427,0.20018667,0.20368528,0.2078367,0.21150297,0.213633,0.21402954,0.21333265,0.2126,0.212572,0.21458364,0.220755,0.2344852,0.25530702,0.27773374,0.29109195,0.2901094,0.2775415,0.26371458,0.25539267,0.25322023,0.25298402,0.25326252,0.25840724,0.2771342,0.3153957,0.3663167,0.4110705,0.42889914,0.41975746,0.40295467,0.4058561,0.4314362,0.46205032,0.46932122,0.44908985,0.41470352,0.38865504,0.37326756,0.35934094,0.33463427,0.30262503,0.27390686,0.2574116,0.25164035,0.25112203,0.2533152,0.2599359,0.27305722,0.2908511,0.30933067,0.32447505,0.33515525,0.34257117,0.34893784,0.35503754,0.3594015,0.3600537,0.35671473,0.35189176,0.3490537,0.35001245,0.35287973,0.3511714,0.33892974,0.31536987,0.29268667,0.2879201,0.3160945,0.3701625,0.427134,0.4542805,0.44279423,0.40897658,0.38977918,0.4028556,0.43840924,0.46311888,0.45633873,0.42109498,0.38043544,0.35259032,0.3422531,0.34328857,0.34984672,0.35978797,0.37198463,0.38129735,0.37846753,0.35564378,0.31504223,0.26981053,0.23596512,0.22169901,0.2250153,0.23952667,0.25966248,0.2819554,0.30338845,0.32154047,0.33533946,0.34549916,0.35393524,0.3642441,0.38089493,0.40886602,0.44484353,0.4759315,0.4811155,0.45294642,0.40307525,0.3582784,0.33218566,0.3194488,0.30309668,0.27881327,0.25533274,0.24491553,0.24779384,0.2565128,0.26424813,0.2722499,0.2872642,0.3163707,0.36193493,0.41354665,0.45074165,0.45219398,0.4201347,0.37974283,0.36692977,0.39020655,0.429494,0.4460567,0.425725,0.38006425,0.33985984,0.31715465,0.3057655,0.286961,0.25611776,0.22109157,0.19656973,0.18838353,0.19491823,0.21071057,0.23284514,0.25887015,0.2849193,0.30541158,0.316894,0.3212446,0.32415748,0.3305414,0.339658,0.34728816,0.3501782,0.35044587,0.3530027,0.3618966,0.3761758,0.3898915,0.39270398,0.37677768,0.34238908,0.30490494,0.28520334,0.300724,0.3455627,0.39725855,0.42423725,0.4186691,0.3961214,0.3894881,0.41105935,0.44738904,0.46664062,0.45254758,0.41277263,0.37116864,0.34428462,0.33390975,0.3329738,0.33660427,0.34485042,0.35775098,0.369572,0.3690592,0.3465394,0.3033333,0.2531245,0.21312757,0.19263501,0.19004923,0.19891518,0.21426778,0.2330703,0.2522136,0.26762915,0.27737173,0.2825425,0.2871786,0.29630473,0.31484973,0.34682134,0.38858378,0.42823228,0.4471979,0.4385749,0.41024363,0.382526,0.36579028,0.35814676,0.3489258,0.33580133,0.32317343,0.31734088,0.31704578,0.31784096,0.3174266,0.3194356,0.330573,0.35562336,0.39432517,0.435383,0.46095827,0.45456013,0.42194152,0.38727558,0.3809056,0.4053003,0.43876997,0.4475213,0.4247103,0.3854082,0.35647953,0.3427222,0.3335166,0.31253123,0.28026244,0.24735582,0.22558498,0.21640043,0.21618862,0.22233146,0.23556064,0.25564507,0.2779188,0.29598045,0.3058399,0.30912074,0.31067073,0.31497785,0.3227247,0.33104375,0.33622456,0.3367652,0.33467805,0.3338985,0.33723307,0.34287882,0.34345904,0.33125743,0.30525592,0.2784423,0.26955572,0.29431516,0.34566045,0.4010968,0.4285399,0.42016116,0.39015675,0.37268493,0.3817689,0.40894136,0.42473927,0.41490892,0.38428566,0.35457313,0.33885536,0.33874238,0.34590104,0.35493007,0.36413535,0.3742435,0.38122037,0.376441,0.35139164,0.30819938,0.26083854,0.22669987,0.21419203,0.22033866,0.23753731,0.2601781,0.28532484,0.3100723,0.33102703,0.345686,0.35408923,0.3585128,0.36423782,0.37729928,0.40349507,0.4386796,0.4691446,0.4740013,0.4474808,0.40206376,0.36368093,0.34306157,0.33276042,0.31541917,0.28847042,0.26217633,0.2487561,0.24702187,0.24860667,0.24806596,0.24934669,0.2614275,0.2914934,0.3406266,0.3970429,0.43988428,0.44815215,0.42413378,0.39142993,0.38293174,0.40444243,0.43634006,0.4439484,0.41852108,0.37449875,0.34136677,0.32671252,0.32074016,0.3042011,0.27519917,0.24351175,0.22262764,0.21455084,0.2151526,0.22013152,0.23028211,0.24673127,0.2672354,0.28624663,0.29937646,0.30691123,0.31255674,0.31960234,0.3271184,0.3320259,0.3325833,0.33162507,0.33390248,0.3429445,0.35719386,0.37023962,0.37164176,0.3540771,0.3182613,0.27918446,0.25697494,0.26982772,0.31400385,0.36920235,0.40248242,0.40307343,0.38342348,0.37714016,0.398221,0.43548116,0.45710918,0.44673824,0.41112712,0.3734846,0.3491062,0.33924103,0.33704004,0.33860835,0.34445974,0.35446295,0.36261404,0.35804546,0.33162522,0.284521,0.22920336,0.18123013,0.14836857,0.1283247,0.11588348,0.11006588,0.11336607,0.12582295,0.14145423,0.15250269,0.15572631,0.1558094,0.15995483,0.17125274,0.18462043,0.19284324,0.19330227,0.192627,0.19980554,0.21863611,0.24151425,0.2559563,0.2535977,0.23863064,0.22357184,0.21940108,0.22590266,0.23294199,0.23008801,0.21605653,0.19955419,0.19024104,0.1897114,0.18969584,0.18051477,0.15973602,0.13434587,0.113611124,0.1018508,0.09606706,0.09073881,0.08249091,0.07224969,0.062874846,0.05672877,0.05398284,0.05329147,0.052799102,0.051396657,0.048857823,0.04575676,0.042680312,0.03999524,0.037632477,0.03549437,0.033674333,0.03273544,0.03372015,0.037727952,0.04514752,0.054943576,0.064952046,0.07289878,0.07731273,0.07759323,0.07360416,0.065670006,0.05499603,0.043948203,0.035598062,0.032719955,0.03662911,0.0466686,0.060177296,0.07364985,0.083627485,0.08798965,0.08596233,0.07851837,0.06777766,0.05661306,0.04732692,0.0409674,0.0373694,0.036099892,0.03704233,0.040020373,0.04404891,0.047367427,0.048229266,0.04596536,0.04104008,0.03481159,0.028741686,0.0241928,0.022157088,0.023370728,0.028032267,0.035473164,0.043908577,0.05093405,0.054456968,0.05356131,0.04865499,0.041175094,0.033221312,0.027271658,0.025844892,0.030374825,0.040378932,0.052998602,0.064649664,0.07243404,0.075308986,0.07325273,0.06678016,0.056795716,0.04502103,0.03383274,0.025347129,0.02089119,0.020951517,0.02563479,0.03440253,0.04552551,0.05593793,0.062234756,0.06229286,0.056224693,0.046247587,0.035400707,0.026337668,0.02046044,0.018104592,0.018929645,0.02229707,0.027104184,0.03176402,0.034644097,0.034895476,0.032940462,0.03015625,0.027972737,0.027121922,0.02752009,0.028794512,0.030760124,0.033522394,0.037075568,0.041051313,0.044794384,0.047887433,0.050481066,0.05324919,0.056715447,0.06068207,0.06415182,0.066386685,0.06803209,0.07131284,0.07807612,0.08751751,0.09554248,0.09781372,0.09341401,0.08650682,0.08277636,0.08512033,0.09106549,0.096367456,0.09905571,0.10180795,0.10760339,0.11556605,0.11949533,0.11336415,0.09642175,0.07457257,0.05551204,0.04368848,0.03849374,0.036703564,0.035555374,0.034217462,0.03313005,0.032910433,0.033537485,0.03457062,0.03548309,0.036220882,0.037061106,0.038352717,0.040075775,0.041846406,0.043282334,0.044401657,0.045774844,0.04801653,0.051279556,0.054965537,0.058364373,0.06123796,0.064209156,0.06802357,0.072963245,0.07836047,0.08332414,0.08748222,0.091647446,0.09721324,0.1050173,0.1144307,0.12392465,0.13271324,0.14198567,0.1543927,0.17158715,0.19197427,0.21033494,0.22172588,0.22579525,0.2289057,0.23876472,0.25821498,0.2816796,0.30032852,0.30844977,0.30772784,0.3058344,0.3126169,0.3356849,0.37379003,0.41467747,0.43875214,0.43461406,0.40901682,0.3846426,0.380631,0.39622417,0.41216648,0.40912738,0.3871107,0.3631105,0.35398135,0.35731003,0.35474035,0.32782456,0.27610126,0.21663082,0.17389803,0.16312183,0.1848892,0.22509633,0.26628506,0.2952654,0.30974612,0.314125,0.31452003,0.31303665,0.30900964,0.30206653,0.29512477,0.29335198,0.30042982,0.31603312,0.33587667,0.35544482,0.37200272,0.38310966,0.38350916,0.36519694,0.3261018,0.27744487,0.2433181,0.2447139,0.28115034,0.32896733,0.357995,0.36035827,0.35173416,0.3578414,0.3815376,0.4056045,0.40453553,0.3763827,0.3373228,0.31137642,0.3057474,0.31511256,0.32794616,0.3399211,0.3515083,0.36484078,0.37448832,0.3697288,0.33860335,0.282694,0.2170008,0.16605948,0.14709288,0.16428399,0.20674054,0.25695798,0.2990161,0.32575837,0.3389777,0.34476176,0.34754,0.34946287,0.3534217,0.36525056,0.38958165,0.41999635,0.4399221,0.4323728,0.40058637,0.36457452,0.34767833,0.35163894,0.3610835,0.3561101,0.33317482,0.30167583,0.2767409,0.26525357,0.26725483,0.27673244,0.28974375,0.3049865,0.32607552,0.35289645,0.37769857,0.38425687,0.3644676,0.32835814,0.30245948,0.30606067,0.33413485,0.35941377,0.35725284,0.32752562,0.29291388,0.2767537,0.28046045,0.2857419,0.2727054,0.23964386,0.20117366,0.17619842,0.1734606,0.1908635,0.21901156,0.24829786,0.27144954,0.2860496,0.29304898,0.29518867,0.29457733,0.29311958,0.29250133,0.29424497,0.29880977,0.30588958,0.31477532,0.325219,0.33719316,0.35069802,0.36201987,0.36370254,0.34614038,0.3089019,0.26491433,0.23856549,0.24708824,0.2864983,0.3310466,0.3538412,0.35063472,0.34078228,0.34854928,0.3748772,0.39975908,0.39861378,0.37024793,0.3322572,0.3074651,0.30206606,0.30916187,0.31763032,0.32416695,0.33138815,0.34249464,0.35291967,0.35194966,0.3287151,0.2848293,0.23365052,0.19418071,0.1772515,0.18394327,0.206698,0.23614083,0.2628787,0.28131655,0.28964925,0.29034492,0.2869188,0.2838882,0.28712976,0.30355895,0.33630046,0.3764349,0.40588835,0.40782842,0.38505563,0.3561975,0.34281906,0.3474814,0.35728946,0.35550237,0.3393701,0.3178506,0.30322766,0.3001066,0.30583012,0.31475088,0.32448193,0.33713308,0.3577843,0.38545907,0.40986225,0.41388622,0.39204335,0.35739374,0.33666334,0.34430215,0.37121686,0.39006972,0.3827443,0.3543761,0.32842484,0.32191765,0.3313824,0.33829227,0.3287498,0.3054407,0.28262922,0.27281213,0.2779821,0.29189432,0.30661654,0.31756666,0.32393464,0.3271618,0.3286573,0.32902506,0.32812276,0.32639632,0.32474375,0.32424358,0.32534173,0.32830033,0.33307102,0.33987093,0.34884322,0.36029398,0.37121335,0.37592408,0.36756098,0.348336,0.32997608,0.33027616,0.3558228,0.3960422,0.42643955,0.42956945,0.40904486,0.38740683,0.38543046,0.40210363,0.4172915,0.40967038,0.3786604,0.34063336,0.31544936,0.3088158,0.31536797,0.32621333,0.3380784,0.35154212,0.3671721,0.37973657,0.38075563,0.36331472,0.33180085,0.29807195,0.27598786,0.27036253,0.27978626,0.29855523,0.32183692,0.34447488,0.36261153,0.37440494,0.3809105,0.3843868,0.3874241,0.3932339,0.40613475,0.42723346,0.4491531,0.4566708,0.43879685,0.40111068,0.36352444,0.3433514,0.33956555,0.33657202,0.32009947,0.29174522,0.26554242,0.25653777,0.26805958,0.2917923,0.31354156,0.32526243,0.3285813,0.3334969,0.34431347,0.3555603,0.3531127,0.3332649,0.30650923,0.29368654,0.30407426,0.3287851,0.3458786,0.34122786,0.31980708,0.30148542,0.300313,0.31105956,0.31274453,0.29051733,0.24831565,0.20636253,0.18307929,0.18487857,0.20537741,0.23352867,0.25947344,0.27817777,0.28908816,0.29445624,0.2963091,0.29617748,0.2953001,0.29546466,0.29755953,0.3014723,0.30646098,0.31232914,0.3198124,0.32996067,0.34308752,0.3547765,0.35604444,0.33634815,0.29591826,0.24884266,0.21952729,0.2222724,0.25185683,0.2848201,0.30256817,0.3054562,0.31119716,0.33295012,0.36360753,0.38164476,0.37125608,0.33915505,0.30617,0.29078075,0.2942638,0.3070812,0.3189726,0.3281841,0.3381187,0.35084513,0.35946676,0.35111642,0.31565854,0.25841287,0.19756187,0.15464243,0.13942957,0.14922,0.17269866,0.19927174,0.22177666,0.23826349,0.24923153,0.25673482,0.2618278,0.26698506,0.27605805,0.29547438,0.3261808,0.3591086,0.37585068,0.3644379,0.33189595,0.30112872,0.29117784,0.2997868,0.30793488,0.29730794,0.26672235,0.22799957,0.19442661,0.16982667,0.15166204,0.13672915,0.12467506,0.11603422,0.110143356,0.10647277,0.10476696,0.1049208,0.105368905,0.10440996,0.101775795,0.09871731,0.09659522,0.09521994,0.093698435,0.09154024,0.08968377,0.088815294,0.08805969,0.084446095,0.07589813,0.06342793,0.05190647,0.046807896,0.050706428,0.061289936,0.072896026,0.08080187,0.084480576,0.08810753,0.096219,0.10969764,0.12406518,0.13354144,0.1351942,0.13125134,0.12590793,0.12236904,0.12095655,0.12105589,0.122020535,0.12386944,0.1261337,0.12832053,0.12985593,0.1312022,0.13318133,0.13696794,0.14247878,0.14860325,0.15333815,0.15558393,0.15525815,0.15303014,0.14919414,0.14370044,0.13652359,0.12822758,0.12016299,0.11428734,0.112637125,0.1159245,0.1230287,0.13100962,0.13752818,0.14163475,0.14458863,0.1474277,0.1505659,0.15235238,0.15089649,0.14465787,0.13503955,0.1255845,0.12055442,0.12130823,0.12638624,0.13292034,0.13926695,0.14461768,0.14870763,0.15144916,0.15373515,0.15683079,0.1613195,0.16644691,0.17052127,0.17225133,0.17125666,0.1686667,0.16610648,0.16522656,0.16620858,0.1681721,0.16956264,0.17004113,0.17068619,0.1736362,0.18008322,0.18942289,0.19934233,0.20752001,0.2128516,0.21576041,0.21734111,0.21852799,0.21979026,0.2211274,0.22225966,0.22272427,0.22234195,0.22112054,0.21944033,0.21748875,0.21550147,0.212983,0.20948215,0.20444183,0.1978336,0.18838347,0.17440583,0.1559047,0.13824295,0.12940474,0.13402957,0.14828523,0.1637032,0.17375433,0.17843877,0.18105738,0.18438429,0.18788719,0.18992506,0.18922418,0.18602729,0.18085755,0.17414379,0.16653061,0.15954268,0.15512888,0.15427557,0.1561311,0.1589183,0.16130073,0.16345394,0.16619004,0.17016506,0.1751586,0.18038704,0.18502682,0.18836905,0.19032024,0.19106047,0.19132696,0.19163269,0.1923645,0.19303328,0.19269294,0.18973266,0.1839151,0.17651065,0.17101316,0.1696079,0.17253697,0.17700247,0.18032396,0.18089545,0.17922588,0.17662257,0.17432089,0.17267911,0.17150994,0.17017873,0.16808514,0.16450267,0.15969495,0.15491362,0.15235044,0.15320025,0.15739518,0.16316403,0.16878878,0.17273122,0.17474543,0.17528038,0.17574126,0.17788059,0.18404467,0.19709666,0.2200731,0.25227916,0.28626373,0.30844316,0.30867353,0.28816882,0.25871146,0.23246308,0.21360098,0.19996858,0.18882565,0.18406434,0.19447027,0.23117475,0.2912391,0.35742787,0.40068412,0.41258898,0.40693843,0.41486168,0.44506088,0.48288217,0.49976465,0.48921445,0.46680263,0.4557787,0.45790026,0.45359743,0.41846657,0.34748974,0.25919932,0.18548769,0.15399429,0.17544203,0.24009562,0.3226615,0.3971306,0.4481832,0.47654864,0.49094617,0.50031835,0.5085201,0.51596135,0.5215786,0.52403444,0.5223374,0.51623636,0.5074951,0.49933824,0.4946276,0.4924394,0.48473457,0.46011353,0.41066256,0.34520268,0.28653523,0.26313365,0.2839519,0.33557785,0.38725403,0.42094898,0.4380497,0.45583245,0.4815882,0.5067379,0.51557654,0.504566,0.48758563,0.481663,0.4941702,0.5170583,0.5401497,0.5563403,0.5666705,0.5713787,0.56821793,0.547413,0.49975005,0.42273018,0.33041963,0.2478577,0.20356792,0.21404426,0.27794147,0.3727423,0.46699175,0.5351799,0.5703079,0.58120143,0.5815229,0.5809967,0.5840505,0.5919842,0.6033929,0.61085224,0.6039229,0.57594657,0.5353668,0.5011377,0.48849738,0.4921894,0.48977128,0.45975435,0.3998038,0.3280381,0.26929498,0.24053569,0.24455975,0.27329758,0.31318238,0.35357538,0.3901386,0.42602158,0.45827413,0.477304,0.4683609,0.43732914,0.405345,0.4018487,0.42821488,0.465086,0.48124877,0.47152397,0.44965354,0.4389303,0.4399085,0.43708113,0.4087609,0.35190025,0.2800946,0.21811026,0.18583797,0.19271465,0.23316567,0.29102078,0.34704223,0.38866743,0.4134165,0.42515627,0.42895243,0.42877114,0.4283028,0.43032312,0.43568918,0.44350967,0.45295894,0.46380475,0.4758936,0.4870788,0.49298218,0.48514995,0.45551682,0.4014252,0.3359581,0.28385475,0.27189732,0.30553004,0.3663089,0.4204249,0.4501243,0.4615232,0.4764112,0.50310314,0.5297424,0.5369958,0.5203103,0.49444702,0.47825265,0.47983992,0.49250117,0.5062457,0.5148632,0.5194765,0.5219458,0.5209003,0.5074243,0.47173834,0.41147694,0.34046483,0.28077284,0.25214323,0.2591699,0.29442742,0.3411114,0.38389787,0.41225028,0.42748943,0.436103,0.445022,0.4531872,0.45873332,0.46257326,0.47276783,0.49091956,0.50908774,0.51009256,0.4892626,0.45740655,0.43515715,0.4273351,0.41887686,0.3850647,0.31630045,0.22567146,0.13940798,0.07719746,0.043690946,0.033063155,0.039701384,0.060030024,0.09017905,0.12128081,0.14458573,0.15459587,0.15302712,0.14436534,0.1336311,0.12349176,0.11505744,0.10832047,0.10297117,0.09873223,0.09555876,0.0936623,0.09334899,0.09452907,0.09650198,0.098091364,0.09837538,0.09715673,0.095021136,0.092782356,0.09093684,0.089360416,0.087486826,0.084699474,0.08070972,0.0757328,0.07034462,0.06512692,0.060253214,0.055415437,0.05012243,0.04418129,0.03790602,0.031932708,0.026824081,0.022805087,0.01975545,0.017400699,0.015497331,0.013966252,0.0128507195,0.012241025,0.012105419,0.012270209,0.01241957,0.012269334,0.01167452,0.010768302,0.009893835,0.009459743]