[0.02820503,0.028345494,0.028442273,0.028003896,0.026572615,0.024032526,0.021182902,0.020389969,0.025502613,0.03998483,0.06426824,0.09425516,0.12325879,0.14528428,0.15770608,0.16092993,0.15729362,0.14963003,0.14080597,0.1330823,0.12876819,0.13006745,0.13863336,0.15285729,0.1681503,0.1789356,0.18279867,0.1804765,0.17376919,0.16329958,0.15009898,0.13791867,0.13257867,0.1369334,0.1469018,0.15295397,0.14688903,0.12742288,0.100616075,0.07592895,0.06178853,0.06261537,0.07788801,0.10239748,0.12908944,0.15151304,0.16659945,0.1741787,0.17650348,0.17632659,0.17607479,0.17718601,0.17971279,0.18256633,0.18335555,0.17967148,0.17013521,0.15640251,0.14373809,0.13954948,0.14886566,0.16978364,0.1930294,0.20736946,0.20634378,0.1913321,0.16847332,0.1438239,0.12015146,0.09752974,0.07614352,0.058466632,0.049438726,0.05249253,0.06644326,0.08412085,0.09754777,0.10209318,0.09904235,0.09208518,0.08442894,0.077217735,0.07088432,0.06648157,0.0650909,0.0668678,0.069780104,0.07137903,0.06997374,0.066071935,0.060964737,0.056607068,0.05530991,0.060654372,0.07497094,0.097070366,0.120215215,0.13644338,0.1407231,0.13449547,0.12257207,0.10984984,0.098471396,0.08881303,0.08090168,0.07503352,0.07133329,0.06887808,0.066428296,0.062955156,0.058556926,0.05376497,0.049724862,0.048087135,0.051349223,0.06104194,0.076224215,0.09292918,0.1074593,0.11843052,0.12687224,0.13231656,0.1331414,0.12955858,0.12870719,0.14075744,0.17171897,0.21622206,0.26123366,0.2931317,0.303929,0.29227796,0.26264685,0.22547446,0.19355692,0.17740099,0.17875026,0.1908424,0.2018715,0.20249665,0.18983759,0.16884725,0.14807747,0.135785,0.13565344,0.14683132,0.16461176,0.18408668,0.20193279,0.21754695,0.23117979,0.2431217,0.2531806,0.26066747,0.2637935,0.25952643,0.24677676,0.22727342,0.20567852,0.18422258,0.16380219,0.145214,0.13370033,0.13493003,0.15067278,0.17526366,0.19935995,0.21539038,0.21996059,0.21326275,0.19668032,0.1735992,0.14880176,0.12835224,0.117323466,0.119150825,0.13436212,0.15967073,0.18832953,0.2123425,0.2255554,0.22483164,0.21062714,0.18707882,0.16194959,0.14366828,0.1373393,0.14212461,0.15308015,0.16532809,0.17661564,0.1868354,0.1948728,0.1979791,0.19273816,0.17827022,0.15709035,0.13477175,0.11856103,0.11454267,0.12512435,0.14565267,0.16719623,0.18069881,0.18326028,0.17806202,0.17114897,0.166526,0.16399884,0.16134721,0.1570837,0.1523804,0.14918144,0.1480769,0.14753653,0.14493696,0.13818116,0.12624538,0.110967256,0.098107465,0.09758713,0.11687631,0.15485525,0.19823875,0.23069839,0.24176316,0.23298997,0.21188991,0.18603913,0.15915291,0.13334465,0.110973746,0.094460554,0.08468748,0.07984379,0.07706069,0.07390693,0.06980679,0.06526994,0.062106162,0.06334867,0.07281473,0.09173048,0.116294146,0.13801752,0.14953472,0.1485429,0.13890426,0.1259452,0.11351561,0.102395475,0.09196335,0.081668854,0.07168936,0.06295527,0.055867065,0.05037866,0.0456924,0.041435827,0.037619855,0.03549789,0.037827924,0.048836544,0.07131975,0.10320609,0.13656849,0.16202313,0.17434692,0.17425452,0.16587569,0.1535394,0.14216685,0.13701756,0.14232002,0.15715937,0.17560034,0.18967618,0.19469263,0.19058913,0.18036066,0.16688496,0.15246846,0.1399955,0.13440527,0.13989078,0.15653388,0.17740643,0.19309627,0.19700013,0.18964374,0.17615296,0.16202624,0.1512444,0.14674948,0.1526616,0.1714353,0.20049332,0.22863884,0.24043125,0.22534089,0.18571723,0.1370286,0.09874543,0.08615152,0.10498563,0.15175386,0.21413727,0.27436548,0.3163886,0.33367193,0.3322854,0.3255898,0.32489863,0.33182284,0.3370397,0.32702467,0.29437825,0.24459738,0.19334035,0.15603437,0.13905858,0.13826935,0.14438774,0.14933954,0.14963804,0.147443,0.14666043,0.14925236,0.15192895,0.15145881,0.14908482,0.15146363,0.16321607,0.18178464,0.19923723,0.20889819,0.20984744,0.20511691,0.1981522,0.19086067,0.18434262,0.18017654,0.17974813,0.1837544,0.19138141,0.20176284,0.21400256,0.22691755,0.2374174,0.24157788,0.23725669,0.22674054,0.21526988,0.20747943,0.20410268,0.20294921,0.20123859,0.19793518,0.19333947,0.18818487,0.18308054,0.1788909,0.17718248,0.17946522,0.18633395,0.19692568,0.21024115,0.22623105,0.24533136,0.26552778,0.28061703,0.28233865,0.26618484,0.23493075,0.19731392,0.16231169,0.13547274,0.11799085,0.10870781,0.105034076,0.10375445,0.10153601,0.096315555,0.08812707,0.07880127,0.07059435,0.06561113,0.06613972,0.07531389,0.09458521,0.1210505,0.14609163,0.1606897,0.16051735,0.14882286,0.1322806,0.11679662,0.10467452,0.095547594,0.08782938,0.080116846,0.07174652,0.062854506,0.054355085,0.048130278,0.04657203,0.050928418,0.059745997,0.07054455,0.084004186,0.1052923,0.13851711,0.17951341,0.21534634,0.23345076,0.22993517,0.21124934,0.18665464,0.16266091,0.14056203,0.12041107,0.1033254,0.09232182,0.08883674,0.09095603,0.09379595,0.0930644,0.08713939,0.0776465,0.06849657,0.06538553,0.07327557,0.093149155,0.11924988,0.14226452,0.15483479,0.156081,0.14998142,0.1413775,0.13291253,0.12488481,0.11669797,0.10783658,0.098514594,0.08927866,0.08081275,0.073500454,0.06762198,0.06340618,0.061584994,0.06397214,0.07356519,0.0924881,0.11852184,0.14415185,0.16002107,0.16222946,0.15463255,0.14715664,0.14749871,0.15825553,0.17487657,0.1919589,0.20540737,0.21570802,0.22370441,0.23000038,0.2337295,0.23542601,0.23646776,0.23836018,0.24115288,0.24370117,0.24391638,0.23898591,0.2266786,0.20794606,0.18855977,0.17561191,0.17150621,0.17083442,0.16560416,0.15310025,0.13933434,0.13484281,0.14674787,0.17424959,0.20833333,0.23770456,0.2541666,0.2565359,0.24856366,0.23611212,0.22436155,0.2173088,0.21632157,0.21938843,0.22142005,0.21815278,0.2094739,0.19961195,0.19292742,0.18954039,0.18638259,0.18117006,0.17656927,0.17704785,0.18459666,0.19522923,0.20263682,0.20190556,0.1921285,0.17503412,0.15461822,0.13726129,0.13018769,0.13715751,0.15429647,0.17230916,0.18282323,0.18374278,0.17804098,0.16962099,0.16129844,0.15606302,0.15810926,0.17071785,0.19333047,0.22043757,0.24436195,0.25895193,0.2627432,0.25863543,0.25172442,0.24613206,0.24367416,0.24398476,0.24534209,0.2449254,0.2395339,0.22706346,0.20839532,0.18673493,0.1650954,0.14415625,0.124168575,0.10861183,0.10456351,0.117571495,0.14547545,0.17817844,0.20390742,0.21636355,0.21652745,0.20914292,0.19843654,0.18683167,0.17604196,0.16774805,0.16246904,0.15852936,0.15292348,0.14383352,0.13201131,0.119963475,0.10972077,0.1015066,0.09381842,0.084780626,0.07353611,0.061016742,0.04928929,0.04021636,0.034328338,0.030956725,0.029375514,0.03041103,0.037260707,0.054056942,0.08188196,0.11574027,0.1457625,0.16369636,0.16774033,0.16285588,0.15530317,0.1487547,0.14297767,0.13618943,0.12690888,0.11529025,0.10300255,0.093383394,0.09078529,0.09970552,0.120721675,0.14883272,0.17421396,0.1909066,0.20082717,0.21186972,0.2271895,0.24113232,0.24464272,0.23488949,0.21809696,0.20287359,0.19386657,0.19043957,0.1908741,0.19497932,0.20359862,0.21600254,0.2284681,0.2351719,0.23076363,0.21351703,0.18648951,0.15747063,0.13574995,0.13003208,0.14339738,0.17227603,0.20533949,0.23115821,0.24301587,0.24341147,0.23850743,0.23384388,0.23005871,0.22486562,0.21556062,0.20160352,0.18514629,0.16965401,0.15929116,0.15706491,0.1643316,0.17808251,0.19292207,0.2036252,0.21106106,0.2200015,0.23512359,0.25365713,0.26822293,0.27135792,0.2623188,0.2451287,0.22555226,0.20669691,0.1892095,0.17219381,0.15532513,0.13936295,0.12570493,0.11500881,0.10666793,0.09952586,0.09289811,0.08760298,0.08622464,0.093272574,0.11222414,0.14234243,0.17618017,0.20408048,0.21953087,0.2231903,0.2196157,0.21328922,0.20582259,0.19695254,0.18600284,0.17292695,0.15866755,0.14474286,0.13267729,0.12311083,0.11586198,0.1102116,0.10618066,0.10530155,0.11114231,0.12643063,0.15003265,0.17529482,0.1951374,0.20839536,0.22194926,0.2453559,0.28138173,0.3236339,0.3593043,0.37960342,0.38252655,0.3730468,0.35545135,0.33282745,0.30787596,0.28734684,0.2781433,0.2820946,0.2918314,0.29634953,0.28904966,0.27179536,0.25147545,0.2334562,0.21985918,0.20991914,0.20167555,0.19285011,0.1854341,0.1903923,0.22326763,0.29005122,0.375742,0.45012346,0.48850664,0.4867756,0.46038523,0.42908788,0.4056586,0.39329615,0.39058366,0.39414647,0.39951885,0.40049693,0.39288995,0.3765417,0.35630214,0.3374705,0.32295093,0.31235507,0.30412614,0.29741338,0.292053,0.2880916,0.28518113,0.28285906,0.28086916,0.27911028,0.2776889,0.27752474,0.28075445,0.2906864,0.30772784,0.3278232,0.34191415,0.34384143,0.33361423,0.3185329,0.3053666,0.29698738,0.29143676,0.28634784,0.28069904,0.27519396,0.27078947,0.26810944,0.26720262,0.26742554,0.2679293,0.26791307,0.26814482,0.27092016,0.27998495,0.2964996,0.31680536,0.3320901,0.33528617,0.32600674,0.31123376,0.29830775,0.29026952,0.28589702,0.2843279,0.28713262,0.29638585,0.3111529,0.3262414,0.33535278,0.3351617,0.3277794,0.31841612,0.31250003,0.31317246,0.32186353,0.33649823,0.3513923,0.35746065,0.34989282,0.33295026,0.3210768,0.3282697,0.35848168,0.40196374,0.44430122,0.47722614,0.5016512,0.5210538,0.5339554,0.53584415,0.5254762,0.5077064,0.48830095,0.46864596,0.44709596,0.42397332,0.4041313,0.39299592,0.3911641,0.3927263,0.3881843,0.37050614,0.33880112,0.29973567,0.2636923,0.24025373,0.2341053,0.24464653,0.26727736,0.29480746,0.31931007,0.33374152,0.33459494,0.32354057,0.3080657,0.29926583,0.30605832,0.3294431,0.3587207,0.37714228,0.37102392,0.34129235,0.30213496,0.27278197,0.26348972,0.27217647,0.288153,0.30110398,0.30587256,0.30245042,0.2935103,0.2821045,0.27136803,0.26396036,0.261045,0.2617724,0.2654887,0.2740801,0.29194131,0.31858698,0.34627685,0.36054447,0.3537593,0.32751742,0.2935219,0.26130834,0.23664497,0.21969368,0.21026452,0.20819211,0.21361102,0.2249866,0.23849113,0.2490867,0.2534715,0.2515434,0.24573237,0.2395783,0.23772442,0.24662562,0.2685316,0.29725924,0.31680122,0.31639048,0.2991862,0.28250894,0.27942535,0.28946534,0.30260253,0.31551516,0.33498445,0.3671616,0.40323246,0.42393002,0.41501823,0.38076174,0.3374168,0.30160132,0.2813426,0.27950454,0.29649594,0.32844624,0.36480618,0.38912812,0.39113995,0.37076867,0.3397971,0.3098726,0.28860858,0.27645048,0.2709041,0.26806656,0.26466307,0.25888887,0.251178,0.24326007,0.23732835,0.23409456,0.23354931,0.23589474,0.24395041,0.2630895,0.29518732,0.33484933,0.36689338,0.379334,0.3686807,0.34491202,0.3188441,0.29815742,0.28303292,0.27188063,0.2627661,0.255377,0.2499084,0.24601258,0.24241926,0.23758937,0.23120494,0.22430547,0.22004403,0.22336234,0.24049656,0.27127704,0.30663988,0.32849374,0.32620886,0.30154335,0.27020916,0.2450118,0.23136914,0.22546287,0.22280519,0.2203962,0.21774663,0.2153479,0.21367301,0.21286559,0.21227677,0.21150327,0.21057446,0.21174137,0.21933506,0.23910289,0.27127337,0.30748978,0.33147654,0.3325888,0.31299293,0.28823423,0.27278617,0.27157953,0.28039637,0.29662874,0.32612708,0.37413093,0.4343873,0.48222363,0.49490154,0.465595,0.41320527,0.36286175,0.33506706,0.33478042,0.35740495,0.3888099,0.4130418,0.41829,0.4075859,0.3956829,0.3987716,0.41961718,0.44762865,0.46816573,0.47460082,0.47005305,0.46219507,0.4569231,0.45506313,0.4531717,0.44502363,0.42615792,0.39626896,0.36243322,0.33561108,0.32703587,0.3389548,0.36279285,0.3807738,0.37919033,0.35768068,0.33157507,0.32102713,0.33715382,0.37596753,0.4219222,0.45995736,0.48243868,0.4910402,0.49114832,0.4876679,0.48238167,0.47404864,0.45936787,0.43597952,0.40543696,0.37517437,0.35303178,0.34193873,0.33493543,0.32280487,0.30049422,0.27262822,0.24692093,0.22922193,0.22072197,0.22077554,0.22808039,0.23947467,0.24947257,0.2526339,0.2478175,0.2402101,0.23811875,0.2478997,0.26918617,0.29679608,0.3249114,0.35007384,0.36903045,0.3756299,0.36524174,0.34038463,0.312693,0.29170462,0.27760446,0.2637499,0.25135466,0.2543885,0.2879152,0.35006285,0.41717228,0.4614155,0.46907404,0.44748673,0.41163746,0.37412202,0.34194088,0.32205006,0.31974074,0.33227086,0.3463039,0.345763,0.3258119,0.29589638,0.27263787,0.2658307,0.27503708,0.2924343,0.3102226,0.32325527,0.3296351,0.32947692,0.3240697,0.3143209,0.30081344,0.28368118,0.26528004,0.2508503,0.24909146,0.26681364,0.30309868,0.34623858,0.3800651,0.3942732,0.3895843,0.37369716,0.35348916,0.33174732,0.30912852,0.28674576,0.2666369,0.25019428,0.23769216,0.22847219,0.22204058,0.21830942,0.2170438,0.21779029,0.22126447,0.2312361,0.25289747,0.2858902,0.32019553,0.33953515,0.33481964,0.31043795,0.28099406,0.25839242,0.24578238,0.23919944,0.23387563,0.22792841,0.2220351,0.21774264,0.21574074,0.21535224,0.21551795,0.2156825,0.21701343,0.22267471,0.23749213,0.26594636,0.3052235,0.3437467,0.36345235,0.3560333,0.3274115,0.2962323,0.27528572,0.2669929,0.26669416,0.2767875,0.30593297,0.35768476,0.41865453,0.46455273,0.47899464,0.46449128,0.43646097,0.40807435,0.3855426,0.37140706,0.36868587,0.37501046,0.38093138,0.37331274,0.34932637,0.31833777,0.29744095,0.29628286,0.31354597,0.3383657,0.36031,0.3735478,0.378486,0.37779784,0.37345633,0.36465684,0.3495982,0.32777599,0.30175865,0.27715042,0.2619207,0.26574326,0.2922124,0.33368167,0.3674012,0.37333143,0.3458598,0.3035542,0.27062416,0.263802,0.28010726,0.30614007,0.3267993,0.3347402,0.3295287,0.31538194,0.29748097,0.28077427,0.26825354,0.26041684,0.2568659,0.2588712,0.27103707,0.29484048,0.32480475,0.3463659,0.34898308,0.332149,0.3079109,0.28737935,0.27526405,0.26876247,0.26544625,0.26544014,0.26987705,0.27700332,0.28172302,0.27848423,0.26561013,0.24745686,0.23269413,0.22950411,0.24128294,0.26675475,0.2996035,0.33073762,0.3474801,0.34316447,0.3210882,0.2965903,0.28177133,0.27773988,0.2764622,0.2774458,0.29361653,0.338154,0.4064093,0.47183225,0.50889754,0.5102086,0.4916785,0.47229198,0.46353504,0.46428776,0.46960616,0.47214937,0.46474168,0.4406704,0.40008584,0.3512727,0.30827036,0.28227043,0.27693164,0.28810045,0.30783534,0.32887328,0.34648284,0.35899067,0.36603153,0.36817613,0.36617246,0.36160982,0.35647416,0.3536316,0.35602435,0.36660156,0.38598728,0.41216865,0.43935692,0.4614401,0.47331205,0.47423148,0.46626583,0.4540992,0.4419632,0.43278524,0.42676744,0.42178023,0.41439578,0.4018581,0.3844811,0.36656225,0.3548629,0.3543283,0.36504647,0.38213167,0.40010318,0.41448054,0.42257023,0.4203943,0.40568933,0.37889054,0.34493887,0.3090669,0.2751599,0.2459227,0.2248432,0.216931,0.22626473,0.25345385,0.29331443,0.33659032,0.3740463,0.40033937,0.41466558,0.41934967,0.4190085,0.4198544,0.42623785,0.43582758,0.43928388,0.4260706,0.39409888,0.34984335,0.30435905,0.26338202,0.2311344,0.21385168,0.22565012,0.27481714,0.3526088,0.42823687,0.47056708,0.46764126,0.4339632,0.3925241,0.35841945,0.3343502,0.3192873,0.31373128,0.31608117,0.31814122,0.30806947,0.28064102,0.24198155,0.2050044,0.1788918,0.1646863,0.15768427,0.15371533,0.15229087,0.15649599,0.16964625,0.19216107,0.21996696,0.24664855,0.2671546,0.28083786,0.29187503,0.30676535,0.3298889,0.35840765,0.381862,0.38849095,0.3749247,0.34950224,0.32550073,0.3114222,0.30678406,0.3067576,0.30718985,0.30712083,0.30645362,0.30477917,0.30039454,0.29128397,0.27534273,0.2518579,0.22251028,0.19378026,0.17589068,0.17923437,0.20377238,0.2361623,0.25408813,0.2454005,0.2153954,0.18440144,0.16891694,0.1731958,0.18868142,0.20448737,0.21351285,0.21462955,0.20993811,0.20231836,0.19393027,0.18607403,0.17919232,0.1730042,0.1683038,0.16812962,0.17888846,0.20315982,0.23691432,0.26708296,0.28543594,0.2923261,0.29787433,0.30673334,0.31658444,0.32303396,0.3318939,0.35493186,0.39517534,0.43633878,0.45226574,0.4296815,0.37841442,0.3231319,0.28265908,0.26220882,0.25633386,0.25906965,0.2672927,0.27954397,0.29296878,0.30229673,0.30256954,0.2917159,0.2726759,0.25102827,0.2325838,0.22016282,0.2139437,0.21227145,0.2137766,0.2177409,0.22371767,0.23093589,0.23806949,0.24407344,0.24820761,0.25039962,0.25075564,0.24983598,0.24892776,0.24982874,0.2541112,0.26102555,0.2677745,0.2703203,0.26697052,0.25857982,0.24842952,0.23881613,0.23074828,0.22366063,0.2176501,0.21307762,0.21033128,0.20857584,0.20698987,0.20537947,0.2045003,0.20458758,0.20498425,0.20496915,0.20476598,0.20558755,0.20795481,0.21123864,0.21386552,0.21495658,0.21460068,0.21338375,0.21152295,0.20876841,0.20519263,0.20146328,0.19854921,0.19677459,0.19563842,0.19456644,0.1935754,0.19329314,0.1937403,0.19402175,0.19276376,0.18948402,0.18516254,0.18165822,0.18101573,0.1841528,0.1904667,0.19723181,0.2011453,0.2006221,0.19719034,0.19437562,0.19393446,0.19452374,0.192777,0.18713622,0.1790673,0.17120433,0.16431366,0.15606622,0.14382403,0.12755601,0.11157832,0.10201746,0.10329181,0.1149759,0.13223858,0.14876196,0.16026533,0.16592647,0.16727936,0.1661847,0.16345316,0.1587705,0.15131007,0.14074934,0.12789218,0.11463803,0.10287314,0.09350293,0.086408824,0.08113682,0.07730737,0.074158065,0.070990354,0.068364,0.06927282,0.07739183,0.09410765,0.11643294,0.13879825,0.15612662,0.16636585,0.17003919,0.16902517,0.16509013,0.15977514,0.15431784,0.14978297,0.1466816,0.14481868,0.14335477,0.14127754,0.13788868,0.13307936,0.12727045,0.12110272,0.11504028,0.10925868,0.10386408,0.09936816,0.09656427,0.09610745,0.09772393,0.10034174,0.102214016,0.10206168,0.09943312,0.09526712,0.09041443,0.08485028,0.0772635,0.06700685,0.05508739,0.0441204,0.036662262,0.034691352,0.03977409,0.05341682,0.07636231,0.107279636,0.14533861,0.19156356,0.25206363,0.32630312,0.40348268,0.4577872,0.47181007,0.44508043,0.3995707,0.35666373,0.3286966,0.31538308,0.31539103,0.327319,0.3483479,0.3699691,0.38256967,0.3805262,0.3658978,0.34519386,0.32508907,0.30916134,0.2979461,0.29016078,0.28447342,0.28005454,0.27758908,0.28024134,0.29405108,0.3238608,0.36471462,0.4003812,0.41218042,0.3976657,0.372378,0.35739228,0.35786283,0.36426178,0.3660157,0.36700442,0.376475,0.39541352,0.40788352,0.39829192,0.36413944,0.32075423,0.2843652,0.2627159,0.2526439,0.24851735,0.24650156,0.24534427,0.24523927,0.24797119,0.25739503,0.27700803,0.30445585,0.32946384,0.33840892,0.3258289,0.2982454,0.2700623,0.25158682,0.24481578,0.24476878,0.24594228,0.24526025,0.24277341,0.24081345,0.24418102,0.2597337,0.29289106,0.33979192,0.3845756,0.40707186,0.3999474,0.3752716,0.353408,0.34443757,0.34227315,0.3381057,0.3321266,0.33225632,0.3400695,0.34633756,0.34235168,0.33325735,0.33595923,0.3589002,0.38917252,0.40089956,0.37956902,0.33388326,0.28652045,0.25454554,0.24226564,0.24604423,0.2631981,0.2896587,0.31771874,0.33435032,0.33260706,0.31459844,0.29204884,0.27395487,0.26393965,0.25929916,0.25740376,0.2564094,0.25586322,0.25560263,0.25799432,0.26878512,0.29564285,0.33814958,0.38286912,0.40723833,0.40004897,0.37134883,0.34396684,0.33123937,0.32795355,0.325345,0.32507017,0.3387574,0.36742148,0.39465883,0.39758876,0.36914435,0.3232313,0.28208682,0.25837842,0.25106275,0.25199178,0.25497913,0.25691736,0.2567239,0.25491023,0.25586912,0.26713288,0.29166487,0.32324138,0.34682998,0.352767,0.34184548,0.3256261,0.31288376,0.3061954,0.30166563,0.2962499,0.2890856,0.28160003,0.27523172,0.27282336,0.2789912,0.30055034,0.337829,0.3808641,0.40941766,0.41089848,0.38926795,0.36281684,0.34438074,0.33269522,0.3200443,0.30627272,0.3000673,0.30636838,0.3186289,0.32652673,0.33029783,0.3431494,0.37453076,0.41475168,0.43718007,0.42238083,0.37462687,0.31848398,0.27689576,0.2581899,0.2584223,0.2722517,0.29568365,0.3225105,0.3415079,0.3436902,0.3288033,0.30646864,0.28688517,0.27463508,0.2676703,0.26268712,0.25792125,0.25405928,0.25213555,0.25497678,0.26741245,0.29740182,0.3462553,0.40217695,0.4400356,0.44157884,0.41115853,0.37306955,0.34942207,0.34262156,0.34382346,0.3479873,0.3622044,0.38900292,0.41727373,0.4244748,0.40009072,0.35290208,0.30601704,0.27528107,0.26386148,0.26402736,0.26870653,0.2736267,0.27806818,0.28275225,0.29028055,0.30462265,0.32672322,0.35200778,0.36911544,0.36933196,0.35151994,0.3251405,0.30072296,0.28451565,0.27548656,0.27017796,0.26578492,0.26184723,0.25889587,0.25894964,0.26625,0.2882879,0.328499,0.37839913,0.41656312,0.4244645,0.40402892,0.37572333,0.35958418,0.35550067,0.35189474,0.34112558,0.33246204,0.33512068,0.34886703,0.35991922,0.36419955,0.37134433,0.3970718,0.43746546,0.46707,0.4592495,0.410478,0.3434697,0.28564206,0.25208855,0.24253882,0.25230858,0.27594185,0.30548057,0.3276393,0.3315512,0.31630972,0.29222873,0.2714676,0.25974777,0.2557087,0.2554997,0.2571701,0.2599541,0.26317683,0.26648137,0.27315477,0.29116356,0.32726634,0.37627319,0.41859615,0.43233824,0.41368437,0.3793796,0.35220036,0.33926293,0.33443943,0.33161142,0.33805752,0.36093175,0.3946434,0.41503906,0.40362045,0.3604325,0.3076696,0.26616347,0.2451515,0.2392142,0.24074556,0.2445913,0.24949603,0.2552515,0.26339018,0.27810696,0.30444267,0.34164143,0.3795874,0.4026724,0.40234414,0.3826894,0.35779908,0.33929637,0.3313997,0.33092177,0.33408526,0.33849382,0.34360757,0.34872746,0.3546658,0.36464694,0.38357046,0.4098651,0.4332707,0.438805,0.42357036,0.3993596,0.3847942,0.38614893,0.39572093,0.40161026,0.4004856,0.3962225,0.39314243,0.39093375,0.39084104,0.39654246,0.41301218,0.43482268,0.4477605,0.4362559,0.39976457,0.35343027,0.31842414,0.30511773,0.3111302,0.32685354,0.34688762,0.36731163,0.38433743,0.3893073,0.37845477,0.3546172,0.32967028,0.31375873,0.31144604,0.31868804,0.32803044,0.33255744,0.32929575,0.3195102,0.3089095,0.30656707,0.32187513,0.35460976,0.3910959,0.40997353,0.40264228,0.38101807,0.36604008,0.36542544,0.3681414,0.3639408,0.35893604,0.37123895,0.40476736,0.43931338,0.44501206,0.41041434,0.35063672,0.2928919,0.25458458,0.23739243,0.23356266,0.23606789,0.24086058,0.24617703,0.25197497,0.2606553,0.2774392,0.30373988,0.33369362,0.35320112,0.35286275,0.3341864,0.3098363,0.2906902,0.2799224,0.2745125,0.27262637,0.27619672,0.28753713,0.30483818,0.32322326,0.33971655,0.35907003,0.38675952,0.421662,0.45027354,0.46174482,0.45691228,0.44761834,0.43938032,0.42615774,0.40259746,0.37656975,0.36552632,0.37624976,0.39785168,0.41313234,0.41826248,0.4255344,0.4471452,0.47993863,0.50493914,0.50621104,0.4827232,0.45052445,0.42645982,0.41987565,0.4270555,0.43986678,0.4472797,0.44121015,0.41635165,0.37813935,0.34171593,0.3261037,0.33984914,0.37541214,0.41559818,0.44612098,0.46323657,0.47042808,0.47140315,0.46706045,0.4579682,0.45023832,0.45015824,0.45851326,0.46313474,0.4529446,0.4275932,0.4015111,0.38639513,0.3814129,0.3784418,0.3763533,0.3851205,0.40880892,0.43507496,0.43843582,0.4066467,0.34999892,0.29544523,0.2616081,0.25100896,0.2529851,0.25700378,0.25765535,0.25543186,0.25413498,0.25872585,0.2732027,0.29761484,0.32575336,0.3466455,0.35028112,0.33556935,0.31038734,0.28644904,0.26997364,0.26086307,0.25529727,0.25129822,0.24889372,0.24882327,0.25225252,0.2625189,0.28681633,0.3290393,0.38313627,0.4303271,0.4538506,0.45160946,0.43726966,0.42435202,0.41326848,0.39755562,0.37619594,0.36129883,0.36296228,0.37952268,0.3957413,0.40262428,0.4056095,0.41835323,0.4430711,0.46362022,0.46093786,0.42961177,0.3839734,0.3417842,0.31389287,0.30117968,0.3036243,0.32236323,0.35598207,0.3958187,0.42843905,0.4447815,0.44476256,0.43587324,0.42517766,0.41601312,0.4072652,0.39647257,0.38099334,0.3599783,0.3361388,0.3176259,0.3158506,0.33793235,0.37680602,0.41162124,0.42129377,0.4041488,0.3788356,0.36713305,0.37281644,0.38381073,0.3900539,0.39689663,0.41390422,0.43884194,0.45184126,0.43652943,0.39250287,0.3388741,0.29348192,0.26531228,0.25141773,0.24712324,0.24838977,0.25307027,0.25948462,0.2679371,0.28136465,0.30313525,0.33095095,0.35532328,0.36384067,0.35266992,0.32867122,0.30523014,0.29063436,0.28588977,0.28691223,0.29008874,0.2934809,0.29572535,0.29690972,0.29985103,0.31190535,0.33918777,0.37950918,0.41830602,0.43862784,0.43486372,0.4182446,0.40384713,0.39673725,0.38973644,0.37828228,0.36901665,0.37538388,0.40268552,0.4417839,0.4774796,0.5004236,0.5128258,0.5199971,0.5223358,0.51353997,0.48908988,0.4533156,0.41836965,0.3961395,0.3912089,0.40021372,0.41649616,0.4328256,0.44323954,0.44204578,0.42787373,0.40369293,0.37705567,0.35361564,0.3355569,0.3217981,0.3121965,0.30892834,0.31398866,0.3268335,0.3443509,0.36566198,0.39403227,0.43099,0.46891704,0.4911015,0.48712918,0.4635123,0.43848172,0.42342457,0.4142032,0.4036274,0.39447284,0.3977808,0.4138862,0.42628,0.4146416,0.3767484,0.32981452,0.29474556,0.27741694,0.2704737,0.26418677,0.2575526,0.25545108,0.26213375,0.2767901,0.29574707,0.31753314,0.34134683,0.36419988,0.37713504,0.37346652,0.35497212,0.3342189,0.32372013,0.32763493,0.34003937,0.3520155,0.35803136,0.3575144,0.3530191,0.34911394,0.35178614,0.3681287,0.3975694,0.42997792,0.44605836,0.4374816,0.4118637,0.3896751,0.38211158,0.38512373,0.38778064,0.38527998,0.38148725,0.37778935,0.37038407,0.35587394,0.34245494,0.3463358,0.3744465,0.41255116,0.431465,0.41372517,0.3661107,0.31471467,0.2804627,0.26962438,0.2761152,0.29409453,0.31953722,0.3476878,0.36958578,0.3784001,0.37384632,0.363552,0.35502073,0.35144222,0.35039154,0.3490068,0.34659374,0.34508553,0.3456849,0.3484975,0.35415244,0.36708912,0.38949227,0.41554514,0.4294041,0.420933,0.39588526,0.37431547,0.37014893,0.3807795,0.39295784,0.39917886,0.40226483,0.4050134,0.40173534,0.3817849,0.3445048,0.30241567,0.2734952,0.2657489,0.27451777,0.2884538,0.29937962,0.30571342,0.3095682,0.31363234,0.3196098,0.33075786,0.34947625,0.37381557,0.39350948,0.39691067,0.38017705,0.35207275,0.32668757,0.31266308,0.3093407,0.31017265,0.31047845,0.30933258,0.3090903,0.31240693,0.32308176,0.34689772,0.38667777,0.43516862,0.47257483,0.48135927,0.46156248,0.43251392,0.4139413,0.40875518,0.40615675,0.3976082,0.38875523,0.39027235,0.40523866,0.42329207,0.4332604,0.4347066,0.43664587,0.4456592,0.45646605,0.46137226,0.4575845,0.4511683,0.44580415,0.4412569,0.43514848,0.42893156,0.42496654,0.4221259,0.41490915,0.39880583,0.37554452,0.35228458,0.33672762,0.33150935,0.33419123,0.3391272,0.342278,0.34324345,0.34568915,0.35420728,0.37075356,0.39347517,0.41628253,0.43076596,0.42872396,0.4089596,0.3807805,0.35960284,0.35473534,0.36180177,0.3699263,0.3749106,0.38520715,0.40728188,0.4339727,0.44315472,0.42139506,0.3744463,0.32575056,0.29367635,0.28288925,0.28573203,0.2935451,0.30125073,0.3068933,0.31075653,0.31558874,0.3267206,0.3478657,0.3753408,0.39789686,0.40326905,0.3895429,0.365551,0.3448588,0.33387527,0.33183137,0.33415255,0.33948967,0.34862208,0.3619287,0.37642488,0.3886193,0.39945567,0.41544357,0.44036177,0.4672116,0.4805114,0.47257605,0.45149997,0.4329214,0.42285368,0.41486144,0.40252408,0.3881662,0.378244,0.37234864,0.36435267,0.35329664,0.35001352,0.3680537,0.40681338,0.44650957,0.46172908,0.44252178,0.40018126,0.35631475,0.32553017,0.31184077,0.31315458,0.32841873,0.3538619,0.3813897,0.39810738,0.3971634,0.38027164,0.35770223,0.33790553,0.32481423,0.31742427,0.31416252,0.31416598,0.3166803,0.3207985,0.3265679,0.3368932,0.35625878,0.38319957,0.40701517,0.41208383,0.39501798,0.369356,0.35542646,0.35958079,0.37119007,0.37949848,0.3887742,0.41262582,0.45148742,0.4842719,0.48466048,0.4463954,0.38875088,0.33995077,0.3155032,0.31401107,0.3238167,0.3351777,0.34260976,0.34554628,0.3458425,0.3477238,0.35738608,0.3770033,0.402464,0.42127356,0.4251802,0.41375685,0.39702508,0.38294283,0.374362,0.36793256,0.36100462,0.35347652,0.34764382,0.34551135,0.3492688,0.36107826,0.3841404,0.4143964,0.44097486,0.4476553,0.43206716,0.40635976,0.39065742,0.39105928,0.39880455,0.4027325,0.4042913,0.41456094,0.4370142,0.45989752,0.46681353,0.456663,0.4465574,0.45210373,0.4684776,0.47155663,0.44392434,0.3898734,0.3332034,0.2944077,0.28092554,0.28764948,0.3084792,0.33772597,0.36850783,0.3900282,0.39459077,0.3827726,0.36380652,0.34733233,0.3378205,0.3341039,0.3330764,0.33255032,0.33176544,0.33093497,0.33221877,0.3402946,0.3621395,0.39747167,0.4334284,0.44705644,0.42700624,0.38608003,0.3523916,0.34327534,0.35105833,0.35991845,0.36565802,0.38182846,0.4157072,0.45509622,0.47242892,0.45306313,0.4069316,0.361086,0.33558953,0.33301762,0.34304193,0.3542907,0.36133793,0.36378348,0.3652791,0.3702297,0.3825659,0.4007438,0.4181424,0.42515793,0.41774938,0.4000788,0.3825775,0.37362397,0.3747886,0.38186213,0.38889968,0.39258242,0.39234498,0.38983154,0.387863,0.39061168,0.4049218,0.43420872,0.4737053,0.5058219,0.51463586,0.49713886,0.46805453,0.4423655,0.42383423,0.40706038,0.39214897,0.39001444,0.41039875,0.45000017,0.49154344,0.52034354,0.53381616,0.5394191,0.54150826,0.5366072,0.52110064,0.4985343,0.47944,0.47106314,0.47379684,0.48323193,0.4963723,0.51208884,0.52839994,0.5410604,0.5462529,0.5442831,0.53900605,0.5344391,0.5318658,0.5307377,0.5301401,0.5293003,0.5276542,0.5253983,0.5245165,0.52768916,0.5371074,0.5518542,0.5668988,0.5740307,0.5674439,0.5494132,0.5290399,0.5146809,0.50651646,0.5005217,0.49582946,0.4991592,0.514332,0.5351482,0.5443802,0.53124684,0.49889168,0.4644092,0.44172278,0.43522775,0.43956915,0.44859922,0.4586611,0.46832934,0.4770011,0.4847381,0.49333587,0.50416225,0.5152573,0.5206482,0.5145452,0.4973329,0.4752625,0.4559777,0.44252416,0.43357667,0.4262278,0.4185066,0.4103694,0.4025519,0.397583,0.39931878,0.41352522,0.44302222,0.48121297,0.5103917,0.5126143,0.48673415,0.45192942,0.43032864,0.42703113,0.42783174,0.42039052,0.4075334,0.4045186,0.41884783,0.4444301,0.46888778,0.48864624,0.50816506,0.5296747,0.5439613,0.53845245,0.5094071,0.46670786,0.42334488,0.38645446,0.35802647,0.34252,0.3479387,0.37588772,0.4152381,0.4449822,0.45151702,0.43580738,0.41244188,0.39411524,0.38588282,0.38455105,0.38716242,0.39302626,0.4030452,0.41617736,0.43143877,0.4507024,0.47828642,0.5125267,0.54044026,0.544302,0.519094,0.48079416,0.45273304,0.44453096,0.4449501,0.44140553,0.43586445,0.4425651,0.46502462,0.48669413,0.48490167,0.45378533,0.4104459,0.3782494,0.36823022,0.37421748,0.3830342,0.38643563,0.38549793,0.3867402,0.3960053,0.41404295,0.438267,0.4620413,0.47829783,0.47888708,0.46373877,0.43985865,0.42047223,0.41282377,0.41631857,0.4236494,0.4288223,0.42984053,0.42858788,0.42712533,0.42806068,0.43461964,0.4527144,0.4811521,0.5086751,0.5148066,0.49178,0.45252076,0.4230329,0.41712436,0.42685124,0.43760252,0.44503498,0.45806384,0.47996876,0.50166637,0.50918394,0.50239533,0.49554756,0.50179696,0.51704043,0.52294093,0.50560766,0.46748677,0.42306402,0.38436565,0.3561875,0.34047827,0.34221852,0.36359593,0.3983034,0.42935956,0.44331717,0.43670508,0.41990125,0.4032092,0.3928549,0.3870283,0.38438797,0.3848633,0.3908832,0.4021903,0.4176722,0.43703127,0.46451402,0.50058156,0.5362909,0.55289537,0.53964335,0.5049601,0.4711217,0.45366248,0.44886038,0.44579086,0.44146788,0.44635963,0.46599495,0.49119332,0.50148886,0.4868734,0.4552331,0.4259894,0.41159007,0.4121689,0.41964757,0.42776218,0.43441096,0.43942413,0.44259953,0.44457957,0.44973627,0.46142718,0.47781554,0.48776698,0.48123765,0.4565005,0.42422688,0.3970836,0.38225386,0.37858263,0.38126966,0.3859361,0.3900436,0.3926072,0.39495954,0.40146267,0.41988766,0.45361754,0.49518928,0.5248969,0.52715784,0.504565,0.4770879,0.4626175,0.46153614,0.46303976,0.46059385,0.4608854,0.47107077,0.4884788,0.50010294,0.5003616,0.49740648,0.5048788,0.52282065,0.5347598,0.52395856,0.49009565,0.45068884,0.42367533,0.41631663,0.4239885,0.4410422,0.4622613,0.48131934,0.48780334,0.47559953,0.44942692,0.42269024,0.40616524,0.39998555,0.3978666,0.39462653,0.39119056,0.39121637,0.3979015,0.41220412,0.43451628,0.46500516,0.50061697,0.52974945,0.53553677,0.50786185,0.45894837,0.41640976,0.40427884,0.42160258,0.45104194,0.47659507,0.49820757,0.52015924,0.5384782,0.53870773,0.5130931,0.4700142,0.4292359,0.40522477,0.4003413,0.40870032,0.42343983,0.43925485,0.451476,0.45710978,0.4560764,0.45264682,0.45263657,0.4595395,0.47054204,0.4782127,0.4766688,0.4660964,0.4524585,0.4414915,0.43550667,0.4327334,0.43049717,0.42799732,0.42659226,0.42917916,0.4379345,0.4551015,0.48034456,0.50777406,0.5236446,0.51539934,0.48360005,0.44664732,0.42521414,0.426353,0.43836537,0.44826254,0.45257485,0.45708752,0.4616941,0.45928848,0.44533873,0.43108442,0.43496466,0.4654255,0.50779444,0.53762794,0.5397168,0.5194459,0.49300197,0.4733549,0.46471715,0.4654598,0.47378123,0.48488703,0.49146938,0.4845781,0.46352813,0.435804,0.41376653,0.40363374,0.40462026,0.4112334,0.41989124,0.42907253,0.43868944,0.44774368,0.45687377,0.46891293,0.48806205,0.5113376,0.5266774,0.51907074,0.48787758,0.45091787,0.43183628,0.43919158,0.46148828,0.48334584,0.5003178,0.5186975,0.5394617,0.55192316,0.5428236,0.51085013,0.468951,0.43286017,0.41034234,0.40006495,0.39757738,0.40001872,0.4058715,0.41362977,0.42213094,0.43200913,0.4465256,0.4663992,0.48805022,0.5020438,0.50342005,0.493453,0.48155102,0.47459397,0.47520456,0.47970402,0.48409152,0.4854077,0.48369154,0.4794457,0.4743742,0.47042546,0.4718096,0.4775279,0.48011455,0.46654105,0.43531802,0.40089783,0.38418818,0.3918256,0.41039142,0.42304388,0.42379537,0.4182047,0.40919748,0.39368567,0.37310648,0.36069325,0.37539017,0.4190465,0.47028622,0.494877,0.47606993,0.4241921,0.36904517,0.33326098,0.32416332,0.33577958,0.36250043,0.39755595,0.43289137,0.45587298,0.46046007,0.44911242,0.43323433,0.42147616,0.41694626,0.41684917,0.41816822,0.4198966,0.42329225,0.4302467,0.44248053,0.46072912,0.48508725,0.50886816,0.519646,0.5027266,0.45953974,0.40961573,0.38017702,0.38190627,0.40330076,0.4264624,0.44495928,0.46599683,0.49176273,0.51120234,0.50662965,0.47417736,0.4274809,0.38823006,0.36865437,0.36815658,0.37786698,0.38962486,0.3993758,0.40698218,0.41495976,0.4257929,0.4413618,0.45914504,0.47385538,0.47784066,0.4688966,0.45032382,0.4306823,0.41620716,0.40926167,0.408313,0.41075873,0.41414848,0.41642216,0.41658816,0.41663265,0.4216298,0.43916368,0.4697678,0.5030613,0.5177924,0.5018184,0.46302536,0.42674103,0.41086826,0.41266927,0.41710508,0.4172012,0.4205179,0.43483353,0.45488656,0.46604148,0.4621159,0.45459867,0.4588901,0.4759834,0.4858234,0.46917152,0.4241991,0.37053493,0.32860616,0.3080683,0.30684492,0.3220897,0.3518423,0.39017355,0.42296764,0.43588746,0.42503074,0.4007155,0.3778157,0.36570272,0.36417934,0.36853918,0.37428436,0.37966585,0.3843403,0.38930985,0.39791605,0.4162544,0.4472228,0.4817501,0.49946797,0.4845431,0.4440794,0.4044137,0.3875513,0.39131972,0.39863944,0.40120006,0.40992972,0.43577242,0.46988115,0.4834089,0.45694628,0.39746663,0.33481216,0.29396394,0.28162238,0.2884207,0.30282936,0.31817794,0.3322266,0.34493005,0.35817018,0.37588298,0.4012455,0.43073818,0.45357692,0.45781937,0.4416431,0.4143857,0.3898858,0.37515345,0.36964175,0.3686106,0.36932102,0.37063405,0.37263286,0.37562713,0.38257468,0.39926854,0.42941144,0.46594015,0.48979333,0.48368657,0.4502244,0.41303334,0.39520586,0.39879194,0.4063044,0.40446064,0.39641193,0.39556646,0.40501547,0.41649246,0.42112613,0.42464533,0.43807232,0.46331206,0.48308036,0.4783558,0.44500923,0.39954755,0.3619683,0.34174657,0.33667052,0.3426011,0.360044,0.38838172,0.4205762,0.44251156,0.44540358,0.43114516,0.411612,0.39649916,0.38920867,0.38720182,0.38828376,0.3917346,0.397694,0.40546834,0.41538715,0.43035057,0.4544429,0.4844326,0.5063336,0.50227004,0.46951994,0.42702326,0.40116337,0.4022713,0.41789082,0.43204358,0.442206,0.45797053,0.48088995,0.49656582,0.48744932,0.45112112,0.40408286,0.36638144,0.3482662,0.3469554,0.35489178,0.36540937,0.37512386,0.38248086,0.3891497,0.39939618,0.4190474,0.4470851,0.47462523,0.48621252,0.47527838,0.4466313,0.4166108,0.39735916,0.3933197,0.3987386,0.40587392,0.40839085,0.40468577,0.39704525,0.39182374,0.39794055,0.42386806,0.4652702,0.5022858,0.5066276,0.47064543,0.41544238,0.376026,0.3678533,0.37699822,0.3830495,0.38020742,0.38084412,0.39124408,0.40503418,0.41051123,0.41030324,0.41974518,0.44845143,0.48441383,0.4995205,0.4760724,0.4210713,0.3606948,0.3161057,0.29482648,0.29437813,0.3148584,0.3539517,0.40231624,0.439419,0.45131359,0.43757436,0.41376638,0.39361313,0.38320258,0.37951013,0.37941253,0.38235426,0.3897445,0.40126705,0.41501725,0.43000153,0.4498981,0.47555193,0.49907908,0.5019265,0.4752047,0.4315947,0.39910665,0.39409554,0.40710023,0.4199181,0.42661786,0.4391868,0.46249244,0.48295674,0.4758512,0.43393815,0.373883,0.32483074,0.30328813,0.30789766,0.325155,0.34338215,0.35663047,0.3644675,0.36964726,0.37680212,0.3920964,0.41650048,0.44377497,0.45949194,0.4546914,0.4306425,0.4004166,0.37539816,0.36065695,0.35371375,0.3510498,0.350258,0.35038555,0.3509736,0.35317287,0.36114207,0.38199568,0.41724646,0.45712087,0.48005152,0.4724994,0.44055164,0.4087611,0.39497098,0.39700687,0.40024152,0.39815176,0.4003638,0.4150128,0.43567547,0.44301474,0.43117854,0.416078,0.42006338,0.4431919,0.45711565,0.43306234,0.36654308,0.28289396,0.21051686,0.16420603,0.14033951,0.12967198,0.124488086,0.12112839,0.11791054,0.1140128,0.109060444,0.102953576,0.095811844,0.08795222,0.07984188,0.07196935,0.06468077,0.058115944,0.052208245,0.046834666,0.041947514,0.0376444,0.03406239,0.03125463,0.02913331,0.027543962,0.026355661,0.025498075,0.024917973,0.024538914,0.024265015,0.024036422,0.02384711,0.023721138,0.023655081,0.023611153,0.02353254,0.023368418,0.023084005,0.022671262,0.022168284,0.021624377,0.021056563,0.020407973,0.019655759,0.019024178,0.01920037,0.021245057,0.025938323,0.032859728,0.03989621,0.044341978,0.045302153,0.045949996,0.05282967,0.071769536,0.10307151,0.14040284,0.17487718,0.20041944,0.21622682,0.2244791,0.22721028,0.22450618,0.21547715,0.19980241,0.17886126,0.15595508,0.13628916,0.12613909,0.13054173,0.14889346,0.174174,0.19604021,0.20840566,0.21138965,0.20945174,0.20609975,0.20322071,0.20213152,0.20378055,0.20655692,0.20500432,0.19407909,0.17526548,0.1581244,0.15488167,0.17036642,0.19964801,0.2297705,0.2502227,0.25656,0.2533237,0.24779265,0.2462625,0.24952947,0.25416803,0.25520325,0.25036973,0.24156575,0.23365998,0.23094253,0.23442668,0.2410629,0.24572389,0.24443106,0.23672988,0.22552048,0.21465357,0.20682274,0.2028222,0.20218785,0.20362467,0.20569141,0.20730025,0.20855658,0.21032237,0.2136925,0.2188884,0.22490944,0.2298823,0.2321462,0.23326455,0.23677461,0.24665463,0.2610092,0.27480125,0.2821715,0.28305122,0.2805269,0.2786335,0.27875885,0.28053656,0.28271353,0.28362963,0.28189567,0.27684543,0.26959702,0.2607987,0.24903513,0.22975123,0.20126556,0.1692893,0.1481262,0.14927955,0.17241271,0.20213892,0.22155295,0.22307555,0.21321262,0.20253658,0.19762622,0.1975962,0.1992368,0.20137209,0.20599008,0.21494031,0.22702067,0.23801865,0.24380134,0.24297357,0.23704731,0.22864391,0.21970303,0.21087445,0.20158394,0.19064407,0.17672825,0.15953682,0.14077519,0.1247964,0.11692961,0.11988356,0.13162231,0.14651625,0.16131979,0.17589022,0.19180506,0.20543785,0.21097313,0.2031994,0.18370992,0.15759087,0.13141304,0.10979908,0.09604905,0.090979405,0.09283218,0.097118974,0.099506594,0.09771941,0.09279131,0.086907946,0.081757836,0.0774667,0.073626556,0.07030498,0.06843085,0.0692006,0.07297996,0.078600295,0.083337165,0.08409056,0.079495616,0.07217602,0.06912073,0.07845495,0.10390022,0.14170308,0.18247758,0.21763068,0.24302627,0.25978655,0.27048528,0.27729306,0.2808254,0.28124264,0.27902666,0.27489275,0.2698638,0.26473942,0.260658,0.2584005,0.25805482,0.25803575,0.25541043,0.24745983,0.23476541,0.22348511,0.22228408,0.23608322,0.26013005,0.28400767,0.29855445,0.3025826,0.29993594,0.29542685,0.29093364,0.2862256,0.2801552,0.27193013,0.2615915,0.24976468,0.23732479,0.224948,0.21363892,0.20474331,0.19963644,0.19845836,0.19992083,0.20188719,0.20269006,0.20177287,0.1994629,0.19656293,0.19352286,0.19051047,0.18715078,0.1831531,0.17826606,0.17226465,0.16480722,0.1553322,0.14375462,0.13042465,0.1163541,0.102345176,0.08920909,0.07772265,0.069399126,0.06515914,0.0646477,0.06507606,0.06364906,0.058910746,0.052184757,0.04556331,0.040720735,0.037919525,0.036712065,0.03641143,0.036442205,0.03636468,0.03593332,0.03507917,0.033897914,0.032511678,0.03111066,0.030305505,0.0314663,0.036719035,0.047151577,0.061636657,0.07612138,0.086619556,0.09094387,0.09019265,0.08654487,0.082249664,0.07847465,0.07582695,0.074287854,0.073447526,0.07272132,0.07174987,0.0705475,0.06932487,0.06824451,0.06736138,0.06685674,0.0672653,0.069483705,0.07397661,0.08002167,0.08538286,0.087661766,0.085696496,0.08034877,0.073536456,0.06707991,0.06202084,0.05873123,0.057161648,0.056960095,0.05761222,0.05865471,0.05979708,0.060931873,0.0619891,0.06289003,0.063541315,0.06413611,0.0654236,0.06868306,0.07453846,0.0818579,0.08762133,0.089539744,0.08852244,0.08894998,0.094820715,0.1060985,0.11923883,0.13130587,0.14294022,0.15546219,0.16702725,0.17185606,0.16528387,0.14858294,0.1300709,0.12049068,0.12630655,0.14492339,0.16719799,0.18356101,0.19043297,0.18908046,0.18289678,0.17350952,0.161511,0.14706632,0.13206054,0.12076175,0.11899827,0.13039297,0.15274252,0.17822678,0.19829464,0.20873417,0.21077909,0.20760214,0.20114094,0.1918785,0.18136124,0.17305225,0.17011948,0.17247938,0.17644656,0.1779991,0.17562462,0.1708305,0.16578126,0.16156025,0.15782388,0.15380973,0.14902985,0.14349139,0.13738845,0.1309895,0.124140315,0.11693873,0.10981987,0.10489286,0.104124844,0.10885656,0.11732298,0.12673686,0.13369446,0.13688539,0.13614762,0.13247484,0.12627585,0.11723781,0.10555282,0.093675055,0.08756276,0.0924935,0.10917727,0.13068552,0.14796655,0.15503477,0.15270355,0.14482355,0.13483642,0.12416601,0.11453816,0.10949788,0.11285754,0.12527196,0.14224684,0.15721567,0.16603446,0.1697978,0.17217362,0.17560457,0.17908637,0.17996794,0.17687087,0.17106251,0.16514629,0.16045423,0.15599887,0.14947872,0.13947612,0.12664482,0.113514416,0.10331538,0.09849777,0.09948654,0.10423916,0.10923967,0.111447476,0.109724164,0.10490865,0.098556966,0.09194558,0.08560222,0.07972107,0.07440137,0.06979728,0.06591334,0.06256559,0.059470385,0.056433782,0.05342491,0.05061132,0.04868664,0.04917662,0.05423187,0.064911835,0.079767026,0.09457592,0.10508946,0.10919088,0.10789716,0.10334451,0.097364336,0.09070867,0.08375964,0.0769056,0.07057571,0.06500644,0.060119137,0.055677146,0.05148914,0.047584463,0.04418831,0.04195473,0.042090848,0.046591565,0.056614656,0.07135024,0.086767845,0.09838796,0.10316533,0.1016955,0.09619901,0.08933145,0.08250279,0.076394774,0.0710877,0.066521116,0.06254873,0.05903676,0.0559109,0.053085346,0.05047034,0.048010934,0.046356183,0.04734583,0.05409052,0.06848978,0.08922744,0.110678844,0.12673427,0.13390183,0.13337226,0.12834862,0.121888615,0.1154502,0.10954859,0.104186684,0.09898126,0.09321463,0.08630002,0.078424595,0.07076305,0.06502148,0.062534265,0.06423874,0.07077015,0.08361407,0.10313123,0.12765329,0.1507305,0.16523474,0.16652669,0.15777467,0.14692844,0.14200027,0.14517215,0.15278108,0.1594067,0.16154592,0.15889263,0.15233822,0.14379133,0.13630539,0.13500889,0.14365704,0.16134472,0.18007755,0.19082455,0.18990499,0.18278216,0.17728764,0.17684944,0.17827046,0.17734492,0.172898,0.16657841,0.15947504,0.15142266,0.14165205,0.13029179,0.117187075,0.10288387,0.08884457,0.07949608,0.07910515,0.088802665,0.103568226,0.11565874,0.120063044,0.11770923,0.113852,0.11281868,0.11659824,0.12512784,0.13867907,0.15559866,0.1707415,0.17598736,0.16668142,0.14613716,0.12470209,0.11163503,0.10929852,0.11276865,0.11569456,0.11445894,0.10926604,0.10198212,0.09483946,0.090154655,0.090297066,0.096387796,0.10672306,0.116870366,0.12229375,0.121283226,0.11561965,0.108463086,0.101878755,0.09604793,0.09028885,0.08460665,0.0802572,0.07930652,0.082632,0.0890289,0.09509247,0.09795517,0.09657517,0.09282311,0.08980308,0.09118992,0.09879332,0.11176867,0.12546135,0.13472927,0.13648598,0.1322996,0.1258278,0.12018303,0.11636281,0.114557244,0.11613438,0.122188576,0.1318487,0.14054899,0.14352985,0.13877685,0.12881131,0.11768333,0.10838785,0.10171869,0.09780556,0.096642114,0.09776285,0.09933134,0.09913498,0.09583757,0.08990597,0.08274871,0.075803734,0.0697777,0.06481974,0.060902163,0.05832837,0.057882223,0.05995604,0.06402195,0.0682618,0.071515374,0.07378477,0.07685817,0.08229226,0.09131826,0.10387564,0.11877433,0.13293459,0.14251964,0.14499167,0.14072637,0.1322799,0.12234504,0.112587325,0.1041823,0.09816554,0.09466586,0.09224472,0.088554375,0.083119065,0.07796081,0.07691934,0.08178386,0.09129441,0.1015625,0.10973547,0.115043424,0.118477575,0.120205164,0.119618125,0.11593776,0.109863706,0.10287998,0.09652573,0.0912686,0.08674648,0.082199335,0.07719337,0.071778245,0.06633905,0.061233293,0.056632485,0.052605007,0.04935172,0.047566384,0.048459277,0.053361934,0.06271418,0.07549756,0.0895183,0.10249647,0.11285461,0.11955301,0.121702164,0.118825376,0.11235475,0.10669612,0.10799334,0.11975338,0.13913561,0.15727341,0.16566281,0.16097064,0.1461625,0.12570947,0.10456508,0.08863724,0.085879,0.10117518,0.13136731,0.16510719,0.19016756,0.20039295,0.19758709,0.18710953,0.17369582,0.15940653,0.14491498,0.13052566,0.11688811,0.10474104,0.09475673,0.08756774,0.08333521,0.082031876,0.08265224,0.084557496,0.087034285,0.09113759,0.09796873,0.10829378,0.120108,0.12952834,0.13307568,0.12981676,0.1221892,0.11318158,0.10548397,0.100227736,0.0986529,0.102132775,0.11147153,0.12500782,0.13712248,0.14141957,0.13482118,0.12155711,0.10897773,0.10263904,0.10209585,0.10450653,0.107377775,0.11014808,0.11187633,0.11110451,0.10695388,0.10035535,0.09349177,0.0879958,0.084284484,0.0817549,0.08020544,0.08031985,0.083265744,0.08890125,0.09506614,0.09855348,0.097586036,0.092885755,0.08719605,0.084223,0.08794117,0.101309426,0.12376145,0.15026797,0.17337185,0.18770069,0.19222929,0.18948542,0.182586,0.17380327,0.16452067,0.15604413,0.1496013,0.14601344,0.14517461,0.14600603,0.14684606,0.14652087,0.14519675,0.14441814,0.14606144,0.1510172,0.1585002,0.16596691,0.17010069,0.16845067,0.16103022,0.15064542,0.14070702,0.13344948,0.12830195,0.12378333,0.11811688,0.111095585,0.10292476,0.09452809,0.086378545,0.079009615,0.07259989,0.067392446,0.06377946,0.06282163,0.065942794,0.07374472,0.08465612,0.09512792,0.1015875,0.102412246,0.09832818,0.091294795,0.083473586,0.07684354,0.07315496,0.07339359,0.0772281,0.082790546,0.08749493,0.08892169,0.08575667,0.07802305,0.06795708,0.060608517,0.06353332,0.08256185,0.11642333,0.15408926,0.18078889,0.18781929,0.17932874,0.16863161,0.16844583,0.18223399,0.20329434,0.22101326,0.22865348,0.22705288,0.22177027,0.21762967,0.21539314,0.2127217,0.20673852,0.19558406,0.17861092,0.1572452,0.1358551,0.12121859,0.118841074,0.12909509,0.14637093,0.16249134,0.17171206,0.17308451,0.1695124,0.16454698,0.16035561,0.15725206,0.1544805,0.15089768,0.14573604,0.13964045,0.13490452,0.1331681,0.13276885,0.12952222,0.122057326,0.11536919,0.11645895,0.1277839,0.14377417,0.15764053,0.16508551,0.16717829,0.16550522,0.16213624,0.15779571,0.15328509,0.14861411,0.14383651,0.13907997,0.13463713,0.13046692,0.12599264,0.12053537,0.113958895,0.10715596,0.101311706,0.0970955,0.094081335,0.09152731,0.08890463,0.085778415,0.081442304,0.074981876,0.06607077,0.05514318,0.043322165,0.03202763,0.022625348,0.015999468,0.012202419,0.010745219,0.011090242,0.013071279,0.017051466,0.025517011,0.045737565,0.09028363,0.16932726,0.27695838,0.3855996,0.4583268,0.4749738,0.44431934,0.3962258,0.35721302,0.34024796,0.3448846,0.36834034,0.40281096,0.4368974,0.45430753,0.44934604,0.42784643,0.40598944,0.39342618,0.39186242,0.39578053,0.40162516,0.4076694,0.41399613,0.41965333,0.42574242,0.43598983,0.45706782,0.48752403,0.51457477,0.51720756,0.48897865,0.44543552,0.41432607,0.40869328,0.41830957,0.42730644,0.43378285,0.45067373,0.48196244,0.51088685,0.5104832,0.47029972,0.4065515,0.34914586,0.31870544,0.31696355,0.33249235,0.3529372,0.37086105,0.38407442,0.39426145,0.40555695,0.423251,0.4472815,0.4704729,0.4799582,0.46947035,0.4440302,0.41811883,0.40312043,0.40149066,0.40747324,0.41432914,0.41803202,0.41835666,0.41646767,0.41611347,0.4226129,0.4434185,0.47694835,0.5100546,0.5191825,0.49504054,0.45076212,0.41618657,0.40746012,0.41671273,0.42485854,0.42454898,0.425321,0.4337869,0.44356337,0.4406911,0.4278657,0.4252368,0.45073438,0.49602985,0.52690166,0.5155911,0.46053612,0.3907671,0.33505094,0.30985698,0.31256992,0.33707437,0.3739077,0.41303214,0.4405918,0.44928432,0.44082156,0.42625615,0.41464517,0.4094263,0.4083526,0.40891123,0.41054025,0.413546,0.41790557,0.42360547,0.4335418,0.45417514,0.48730326,0.522644,0.5374546,0.5176039,0.47195235,0.43001065,0.41367266,0.4208388,0.43376303,0.44337603,0.4583647,0.4867526,0.51862365,0.5266013,0.49499384,0.4342029,0.37647656,0.34598592,0.3463844,0.3636155,0.38431254,0.402702,0.41917858,0.43384182,0.44618192,0.45669544,0.467249,0.47660896,0.4795871,0.47053346,0.45078766,0.42798337,0.4107009,0.40153185,0.39816555,0.39746383,0.39860693,0.4020771,0.4074696,0.41425252,0.42366287,0.440014,0.464909,0.4919571,0.5054261,0.49363783,0.46006048,0.42501917,0.4066484,0.4075034,0.414989,0.4200798,0.42524102,0.4367315,0.45060018,0.45458946,0.44520867,0.4364715,0.44680238,0.47634974,0.5009058,0.4939643,0.449549,0.38904414,0.34045234,0.320901,0.32930514,0.35598055,0.39010918,0.42191324,0.44263002,0.44574562,0.4334481,0.4142294,0.3991698,0.39214388,0.39103398,0.39036158,0.3876947,0.38403758,0.38187468,0.38350654,0.391042,0.40809226,0.43613815,0.46754465,0.48470554,0.47180286,0.4332455,0.39405414,0.37913665,0.39118424,0.4119654,0.4273295,0.4415932,0.46737424,0.5023036,0.52229077,0.5048098,0.44925287,0.38298008,0.3356669,0.32221508,0.33535632,0.3596612,0.38188574,0.39686587,0.40490827,0.40998504,0.41719964,0.43191516,0.45295045,0.47237453,0.4768931,0.46218196,0.4347285,0.40977368,0.3965501,0.39587614,0.40164268,0.40882328,0.41482592,0.41930905,0.42229196,0.42656028,0.43776262,0.46248567,0.49671447,0.52396965,0.52243495,0.4885763,0.44236863,0.41287068,0.41129133,0.4242405,0.43372944,0.43432578,0.43415543,0.436,0.43337107,0.4216547,0.41141626,0.42247534,0.46027836,0.50515294,0.5229626,0.49585593,0.43412292,0.36868167,0.32435372,0.3108519,0.3233262,0.35569096,0.3981004,0.43832955,0.45971537,0.45602307,0.4331526,0.40771565,0.39104614,0.38601556,0.38787088,0.3922268,0.3964198,0.39991376,0.4024299,0.40651348,0.41677868,0.44005847,0.47355866,0.50366384,0.50810295,0.48091742,0.4375362,0.40637243,0.3997352,0.40782866,0.41528836,0.42216775,0.44179466,0.4780797,0.5112759,0.5131616,0.4725337,0.41031826,0.3595934,0.34286436,0.35614,0.38216695,0.4039861,0.41674864,0.42283037,0.428315,0.43667126,0.4499532,0.46486452,0.47550705,0.47359622,0.45788386,0.4338096,0.41229185,0.39964136,0.3965071,0.3989267,0.40369654,0.40887353,0.41358188,0.41665158,0.41933274,0.42544147,0.44219586,0.46907368,0.49560657,0.5014832,0.4790323,0.43934765,0.40784588,0.39852348,0.40612146,0.41622153,0.4225445,0.43018636,0.44178712,0.45081595,0.44780073,0.43558618,0.43031204,0.44401383,0.4695066,0.48138678,0.46174154,0.41394508,0.36190036,0.3268199,0.31707603,0.3276941,0.35165057,0.38194957,0.4110597,0.42898545,0.42978296,0.41564795,0.39674827,0.3831282,0.37927544,0.38337782,0.39095315,0.39861414,0.40548384,0.41275907,0.4221107,0.4348117,0.45187435,0.47055292,0.48230752,0.47505066,0.4462565,0.41005525,0.38874182,0.39289954,0.41170797,0.42791453,0.4363385,0.44975474,0.47658315,0.50650215,0.5116176,0.47690794,0.41296563,0.35122535,0.31522727,0.3097856,0.32344627,0.3429309,0.35928503,0.36921155,0.3745004,0.3809876,0.3962305,0.42278555,0.4540974,0.47620222,0.47810352,0.46092975,0.43665245,0.41855916,0.41167185,0.4136807,0.41912153,0.42429492,0.42665327,0.4255221,0.42269683,0.42397058,0.4364837,0.46129894,0.4872795,0.49522218,0.47470298,0.43688384,0.4078513,0.40485036,0.42206,0.43978155,0.44697055,0.44940272,0.45603034,0.4642334,0.4604738,0.4416237,0.42333183,0.4289151,0.4621164,0.49823394,0.5050024,0.46947944,0.4104568,0.35744557,0.3310083,0.33218196,0.3531288,0.38524494,0.4193481,0.44483697,0.45065418,0.43663213,0.41175783,0.39087617,0.38138774,0.3831446,0.38991424,0.39619508,0.39931718,0.4001607,0.4017192,0.4077011,0.42050457,0.44014323,0.45904088,0.4649621,0.4472363,0.4123827,0.3813374,0.37423977,0.39074346,0.41336772,0.4295709,0.4456109,0.47414312,0.5114746,0.5308097,0.5098211,0.45093143,0.38569787,0.34407952,0.33820143,0.3576289,0.3863938,0.41212395,0.43027607,0.44082868,0.44680727,0.4519526,0.46000972,0.47008386,0.47766277,0.47530082,0.46183112,0.44139966,0.4226929,0.40995112,0.40405247,0.40254208,0.40352395,0.4048688,0.40505967,0.40358198,0.40298972,0.40837297,0.4249482,0.448843,0.4668528,0.46318725,0.43879572,0.4124907,0.40561834,0.42091462,0.4415203,0.4525286,0.4530007,0.4520122,0.45012832,0.43961385,0.41825065,0.40067706,0.40786138,0.44322073,0.48303226,0.49269772,0.4564154,0.39010218,0.32733616,0.29309848,0.29180574,0.31381115,0.34954682,0.39013195,0.42604026,0.44373187,0.4386487,0.41636857,0.39244244,0.37718165,0.37341717,0.3765504,0.38187003,0.3866564,0.39028725,0.3933077,0.3980979,0.40911242,0.4320197,0.46387133,0.491362,0.49442133,0.46900812,0.4319565,0.41007933,0.41286787,0.42707276,0.43625882,0.4407822,0.45539162,0.4846038,0.5105277,0.50655204,0.4627835,0.39658424,0.3372328,0.30522016,0.30213144,0.31740513,0.33854815,0.357788,0.37206516,0.38310727,0.39530075,0.41475222,0.4415739,0.4683149,0.48092428,0.47216305,0.4462233,0.41751635,0.39762163,0.3900942,0.3908551,0.3951589,0.4001534,0.40541342,0.41076028,0.4180509,0.43110183,0.45634422,0.4920634,0.52521056,0.53298444,0.5067825,0.46097338,0.42527005,0.41556,0.42299953,0.42997018,0.43059492,0.43551826,0.44906294,0.4611552,0.4549892,0.43390527,0.42253044,0.4435182,0.48989543,0.52458364,0.51576644,0.46145964,0.39270887,0.34111318,0.3223752,0.33200702,0.361907,0.40302348,0.44526756,0.47346234,0.47739553,0.45844173,0.43085825,0.40955308,0.40180004,0.40546742,0.4147829,0.42489254,0.432876,0.43737948,0.43956554,0.4447204,0.4621844,0.49588934,0.5364699,0.5604196,0.55086184,0.5135716,0.4751601,0.4566697,0.45626417,0.45912227,0.459932,0.47163305,0.5029761,0.5410647,0.5521397,0.5152722,0.43957373,0.36080012,0.30940998,0.294387,0.3042301,0.3233283,0.34208333,0.3574268,0.3709861,0.38592616,0.4069195,0.43490812,0.46424988,0.48290798,0.48145473,0.46146083,0.4344673,0.41321298,0.4024662,0.40012074,0.40184602,0.40539536,0.40994474,0.4144001,0.4187064,0.42579696,0.44315574,0.4750137,0.5138955,0.53815335,0.52901626,0.48874632,0.442893,0.41626325,0.4120119,0.41399968,0.41090384,0.4090611,0.41993603,0.44080076,0.45209074,0.43813697,0.39900383,0.34708607,0.29016665,0.22927403,0.1657166,0.107124984,0.06284206,0.035952546,0.022782862,0.016975874,0.014226816,0.012578319,0.011430402,0.010466016,0.009494427,0.008502991,0.007606259,0.006909413,0.0063876756,0.0059320666,0.0054659117,0.004985525,0.004516714,0.004055723,0.0036028016,0.003186267,0.0028480075,0.0025879222,0.002365034,0.0021431611,0.0019256208,0.001740234,0.0016015124,0.0015015262,0.0014194241,0.001342974,0.0012634046,0.0011765884,0.0010765648,0.0009665632,0.0008522973,0.0007404766,0.0006306073,0.00052619615,0.00043550273,0.00037010072,0.00033105523,0.00030961467,0.0002935752,0.00027641095,0.0002562089,0.00023293468,0.00020730773,0.00018227851,0.00016154908,0.00014542315,0.0001305518,0.0001120292,8.934155E-05,6.548021E-05,4.5661658E-05,3.2493062E-05,2.5988107E-05,2.4003233E-05,2.4594527E-05,2.6546091E-05,2.9329634E-05,3.1989784E-05,3.338717E-05]