[0.057767328,0.05510957,0.048801407,0.040067215,0.031686198,0.027927967,0.03289953,0.04774874,0.0689851,0.09003002,0.10516157,0.11247041,0.113596916,0.11121383,0.10723295,0.102648444,0.098199606,0.094540834,0.09199973,0.09046108,0.08948088,0.08845689,0.08662746,0.08312938,0.07739911,0.069879845,0.062396746,0.057687834,0.057877813,0.06317762,0.071387954,0.079236455,0.0840961,0.085280634,0.0837003,0.080764405,0.07787455,0.07650385,0.07879738,0.0863275,0.098610975,0.11138272,0.11804625,0.11309683,0.09585189,0.071407676,0.04716663,0.029276118,0.020247439,0.021030752,0.031472657,0.050294,0.07299691,0.0938262,0.10852534,0.11722809,0.12286941,0.12848501,0.13491116,0.14111333,0.14571089,0.14811008,0.14873898,0.14826779,0.14712077,0.14557539,0.14443552,0.14538725,0.14981,0.15702589,0.16334707,0.16376096,0.15529197,0.13910471,0.12020046,0.10405615,0.09402689,0.09012792,0.09078907,0.09457988,0.10083017,0.108756356,0.116891086,0.12385904,0.12952298,0.13504349,0.14176191,0.14954484,0.15678984,0.16123061,0.16204147,0.15991002,0.15655482,0.15283851,0.14894237,0.14486037,0.14170708,0.14116062,0.14432953,0.14988561,0.15381993,0.15111572,0.13880299,0.11796712,0.0927119,0.06793642,0.047159046,0.03259057,0.024392784,0.021332309,0.02065745,0.020809343,0.021582609,0.025257865,0.03500195,0.05386728,0.08126276,0.110502996,0.1308192,0.13386321,0.12133923,0.105719544,0.10334593,0.12338287,0.16091318,0.20047699,0.22647393,0.2333415,0.22682382,0.21788538,0.21487011,0.21886182,0.22492538,0.22587526,0.21835136,0.20509286,0.19399886,0.1915612,0.19809902,0.206725,0.2093484,0.20231879,0.18876421,0.17483276,0.16562158,0.16249447,0.16392551,0.16685323,0.16885138,0.16870606,0.16670434,0.16360916,0.16032352,0.15722091,0.15416889,0.15070784,0.14649574,0.14106523,0.13290808,0.12028576,0.10289866,0.08384198,0.06725014,0.05637798,0.052288875,0.057015818,0.07230408,0.097586595,0.12578219,0.14816506,0.15875308,0.1593314,0.15495409,0.15140522,0.15115437,0.15503342,0.16146225,0.16846795,0.17339943,0.17483933,0.17247178,0.16786866,0.16356029,0.16205041,0.16425689,0.16891271,0.17316943,0.1739021,0.1694742,0.16068389,0.15084969,0.14368029,0.14125042,0.14287011,0.14689226,0.15217298,0.15876676,0.16625513,0.17336027,0.17803784,0.17959099,0.1791516,0.17993677,0.18461692,0.1940509,0.20583372,0.21664864,0.22328602,0.22439504,0.21965985,0.2104053,0.1994967,0.19070397,0.18685448,0.18774505,0.19078368,0.1923995,0.19125746,0.18835247,0.1865951,0.18699832,0.18781757,0.1842468,0.17247008,0.15113185,0.12332308,0.0942499,0.07056111,0.056268513,0.05219349,0.05524564,0.062340353,0.071652606,0.08242934,0.09299579,0.10052536,0.103524595,0.10286787,0.102246284,0.10443026,0.109221734,0.11156792,0.10569945,0.089552365,0.068362825,0.051757712,0.04773194,0.057639074,0.07580187,0.09443312,0.10836688,0.11779026,0.1259266,0.13585083,0.14786823,0.16023333,0.17195798,0.18462716,0.20167707,0.22445284,0.25056055,0.27472726,0.29277706,0.30345288,0.30812314,0.30863872,0.30577824,0.2990406,0.28814778,0.27491912,0.26443127,0.26205263,0.2696023,0.28218624,0.2913512,0.28949854,0.2740399,0.24747604,0.21755914,0.19447361,0.18611449,0.19061558,0.1965866,0.18993942,0.16486262,0.1264982,0.08677962,0.057061348,0.044661865,0.05249874,0.07858516,0.11564785,0.15234391,0.17875135,0.19082583,0.19153474,0.18670832,0.1813609,0.17801575,0.17766093,0.18050097,0.1855254,0.18998952,0.18921502,0.17908184,0.15927754,0.13670915,0.123627074,0.13071157,0.15887906,0.19750053,0.231824,0.2519931,0.2568257,0.24900551,0.23067789,0.20419073,0.1773443,0.16322361,0.17215474,0.2022308,0.24025607,0.2715172,0.28975725,0.29735553,0.2995738,0.29921797,0.29596397,0.28944635,0.28147015,0.27607366,0.2755501,0.27778387,0.27745292,0.2709294,0.25958082,0.24771285,0.23855191,0.23119462,0.2216456,0.20484096,0.17787987,0.14192854,0.10281261,0.06842553,0.045769095,0.039564356,0.05260524,0.08477106,0.13053864,0.1784691,0.21617053,0.23709606,0.24426322,0.2465787,0.252494,0.26467046,0.2801354,0.29336047,0.30019233,0.2989329,0.29050696,0.27692688,0.26168934,0.24779826,0.23773123,0.23094213,0.2248532,0.21533526,0.20002888,0.18029086,0.16143756,0.15056403,0.1519205,0.16501492,0.18478559,0.20709448,0.23037763,0.2552732,0.27953342,0.29913542,0.3106326,0.31549636,0.31681657,0.31695485,0.3148123,0.30972192,0.3015974,0.29166695,0.27971014,0.26646435,0.25371274,0.24432045,0.2385301,0.2344141,0.22972302,0.22432794,0.21923912,0.21443373,0.20846117,0.19931109,0.18774186,0.17753066,0.17459275,0.18178348,0.19783495,0.21790993,0.2381804,0.2562128,0.27163365,0.2839625,0.2929875,0.2970475,0.2943618,0.28422305,0.26934323,0.25461468,0.24380136,0.23619236,0.22630464,0.20760842,0.17748375,0.13997154,0.103476346,0.0758695,0.061661053,0.063141525,0.081646405,0.11574254,0.15799625,0.19692136,0.22316706,0.23559695,0.24032135,0.24594136,0.25771767,0.27570227,0.29507124,0.30951133,0.314131,0.30811414,0.29501182,0.28172043,0.27465323,0.27574655,0.2805591,0.28192505,0.2750679,0.26107028,0.24502741,0.23255932,0.22653444,0.22654665,0.23015101,0.2352155,0.24166305,0.25069413,0.2615178,0.26853994,0.26350275,0.24200761,0.20867293,0.17557704,0.15530138,0.15429048,0.17044628,0.19505803,0.21765465,0.2309798,0.23355328,0.22810765,0.21857148,0.20813932,0.19948234,0.19472887,0.19456728,0.19664551,0.19578518,0.18628347,0.1658974,0.13770047,0.108603805,0.08531497,0.072543986,0.07334453,0.089158796,0.11734981,0.14904808,0.17229135,0.17921685,0.17498676,0.17912193,0.21476884,0.28774953,0.3746939,0.436839,0.45092452,0.42750835,0.39778146,0.38554308,0.39218375,0.40487766,0.4126984,0.41404927,0.41336635,0.41264573,0.40852094,0.3911252,0.35244298,0.28997302,0.21443762,0.14237338,0.09158021,0.070841216,0.081050515,0.11575589,0.16397291,0.213149,0.25076878,0.26997665,0.2705165,0.26223263,0.25875223,0.26979092,0.29289845,0.316409,0.33210877,0.34455574,0.37085605,0.4209485,0.4843661,0.52927285,0.53036654,0.48827216,0.43015242,0.38353142,0.35531116,0.33240435,0.29645306,0.24317355,0.18240736,0.13355996,0.109770834,0.114471555,0.13923013,0.1702009,0.19203468,0.19565718,0.1859564,0.18491638,0.22028117,0.30198118,0.40648922,0.48707318,0.50806254,0.4697733,0.40467453,0.34891704,0.3202045,0.3149141,0.3194441,0.32153305,0.3164365,0.30716822,0.3011717,0.30092552,0.30206418,0.29417837,0.27433738,0.24738765,0.22554658,0.21516187,0.21556099,0.2192359,0.21963882,0.21552815,0.20914382,0.2039342,0.19914037,0.19655733,0.19928999,0.21399003,0.23989896,0.27097568,0.29954255,0.32781494,0.36708963,0.4237832,0.48508772,0.5191328,0.501208,0.43600142,0.35768476,0.3030901,0.28447112,0.2888321,0.29134262,0.2797143,0.25423673,0.22721219,0.20691414,0.19782805,0.19588996,0.19564508,0.19299279,0.19279249,0.20706816,0.24862655,0.31899443,0.40305898,0.47345296,0.5055514,0.4939603,0.45456016,0.41282693,0.38454187,0.37147692,0.36710522,0.36758265,0.3728318,0.38338768,0.39606634,0.40452555,0.40029386,0.37719646,0.3340962,0.28017008,0.2295924,0.19535582,0.17914055,0.17394501,0.16976982,0.1628318,0.15897536,0.16921853,0.20137061,0.24999268,0.29980943,0.33359292,0.3445555,0.33673778,0.3216145,0.3118625,0.3193227,0.3542275,0.41576687,0.48666903,0.5338935,0.53424424,0.4904858,0.4312822,0.38391575,0.3540603,0.32774135,0.2887483,0.23841433,0.19283636,0.17184453,0.18013042,0.20528567,0.22584601,0.22623122,0.20611896,0.18016797,0.17215718,0.2032414,0.28079134,0.38885793,0.4918332,0.5513457,0.5502971,0.50160503,0.43569437,0.37703857,0.33309057,0.300758,0.27797198,0.26623645,0.2661513,0.2736657,0.28474376,0.29474667,0.29983243,0.29146048,0.2677991,0.23538876,0.21192424,0.20802969,0.22096002,0.23497568,0.23752654,0.22943808,0.22282924,0.22989713,0.25212464,0.28196228,0.30953786,0.32949027,0.34088483,0.34497902,0.3464876,0.3540789,0.38051084,0.428329,0.48355675,0.5143778,0.4989524,0.4405156,0.37031284,0.31893203,0.29593024,0.28743568,0.27222297,0.24151768,0.20010363,0.16241682,0.13887936,0.13300355,0.1393109,0.14818537,0.15221114,0.15065978,0.15224336,0.17197077,0.22608717,0.31862104,0.4303441,0.5219968,0.5592475,0.53704894,0.4807354,0.42264614,0.3800496,0.35181597,0.33050367,0.31275812,0.30215755,0.30227506,0.313042,0.32422304,0.3239648,0.30231982,0.26595286,0.23000444,0.21270551,0.21719927,0.23513196,0.25244,0.26264778,0.26748064,0.27273157,0.28188983,0.29485545,0.3097544,0.32430312,0.33521262,0.33854726,0.3316007,0.31865117,0.31236252,0.33209196,0.38588914,0.45897254,0.5118131,0.51143867,0.45533442,0.3765252,0.31298184,0.27953807,0.26423645,0.24688254,0.22423989,0.20810373,0.21290141,0.234811,0.25666654,0.26056066,0.24354173,0.21685345,0.19825892,0.2031403,0.2406673,0.3103589,0.399287,0.48084855,0.52633625,0.5216739,0.4788951,0.42509803,0.38227567,0.35448238,0.33472955,0.31755033,0.30484155,0.3016968,0.31013936,0.32725784,0.34504524,0.354978,0.35051635,0.33319247,0.30925763,0.28685704,0.26885006,0.25381243,0.23798257,0.21979387,0.20328172,0.19718061,0.2099513,0.24121694,0.28137994,0.31796756,0.3444703,0.3615937,0.37274662,0.38222912,0.3960588,0.42526373,0.47495222,0.53552717,0.57702947,0.57245046,0.51731896,0.4379237,0.36797774,0.3242776,0.29988062,0.2758599,0.24209271,0.20094259,0.16554181,0.14683826,0.14896613,0.164958,0.18234624,0.19214936,0.1988023,0.21746212,0.26412752,0.34078518,0.4330419,0.51202893,0.55107814,0.53947407,0.49246392,0.43816105,0.39908192,0.37861657,0.36811662,0.35782787,0.34457538,0.32969752,0.3174876,0.3134375,0.32013342,0.3339614,0.34425628,0.34330583,0.3305256,0.31409585,0.30112824,0.29430544,0.29084682,0.28791925,0.28647307,0.29009417,0.30144835,0.31684056,0.32966042,0.33437964,0.33181974,0.32607207,0.32172498,0.32323334,0.33726302,0.37292615,0.4304514,0.49322644,0.5286387,0.513338,0.45166028,0.3765544,0.323256,0.3052174,0.31074953,0.31667224,0.30912852,0.28693953,0.25963742,0.23614533,0.22306569,0.22160119,0.22832523,0.23564853,0.2379971,0.23886876,0.25306955,0.29667845,0.3707602,0.45182404,0.5034606,0.50208825,0.4541284,0.3890109,0.336054,0.30782977,0.30014256,0.30185023,0.30377093,0.30239844,0.29914892,0.2983317,0.30065262,0.3027575,0.2968568,0.28084385,0.2586353,0.24036388,0.23266788,0.2363537,0.24606508,0.25478593,0.25840795,0.2561997,0.25100553,0.24539693,0.24269305,0.24469884,0.25238207,0.26316276,0.27341595,0.2826039,0.29816535,0.33379468,0.39449024,0.4644831,0.5079465,0.4972107,0.4351525,0.3568422,0.30167356,0.28666663,0.30153427,0.32150194,0.32960322,0.32215247,0.30811664,0.29536012,0.28767458,0.28326032,0.28060663,0.2792834,0.27988234,0.28225574,0.2856705,0.28986207,0.29492843,0.30043146,0.30402592,0.3034689,0.29754356,0.287585,0.27518913,0.26223257,0.2500408,0.24095719,0.2384972,0.2461348,0.26403818,0.2859483,0.30066645,0.29746923,0.27305886,0.23397072,0.19298483,0.1616114,0.14418155,0.13759524,0.13554259,0.13327175,0.12917079,0.12382733,0.11869997,0.11578688,0.11775831,0.12627947,0.14043826,0.15568078,0.16712548,0.17253281,0.17467956,0.17869629,0.18854912,0.20388149,0.22065474,0.23467512,0.24429101,0.25081763,0.2556696,0.25917247,0.2607751,0.26072702,0.26062188,0.26226342,0.26680347,0.273146,0.27930808,0.28277257,0.28219786,0.2752327,0.25897953,0.23174204,0.19828941,0.1697352,0.15777187,0.16634743,0.18965735,0.2171209,0.24020274,0.25498235,0.26150003,0.26186004,0.2599571,0.2593939,0.26233554,0.26795617,0.2741021,0.27764603,0.27446532,0.25975916,0.23070687,0.1908756,0.14927347,0.11595785,0.095222235,0.0853075,0.0813498,0.079818934,0.07914269,0.07900423,0.07978174,0.08336883,0.09263175,0.108875215,0.12893386,0.14609894,0.15469603,0.15468319,0.15183955,0.15398169,0.16599107,0.18736191,0.21268511,0.23552394,0.25175872,0.26124167,0.26579177,0.26714084,0.26620916,0.2637391,0.26134264,0.26061586,0.26283598,0.26752532,0.2726868,0.27449384,0.26853913,0.25235227,0.2283889,0.2057333,0.19562589,0.20493484,0.22984807,0.2590547,0.28075516,0.29047677,0.29067692,0.28654805,0.28056085,0.2719133,0.25882667,0.24311526,0.23046343,0.22770639,0.23655497,0.2526103,0.267411,0.27407926,0.26933202,0.25526825,0.23708345,0.22085916,0.20780122,0.19521447,0.17900412,0.16107178,0.14795355,0.14804421,0.1626155,0.18463941,0.2002297,0.19992948,0.184498,0.16587551,0.15677254,0.16307586,0.18120347,0.20323355,0.22250336,0.2361396,0.24470186,0.24862845,0.24761735,0.24056602,0.22995478,0.21993047,0.21392708,0.20966928,0.20407979,0.19856022,0.20055157,0.21554054,0.24013142,0.26455244,0.28091264,0.2885674,0.2914357,0.29317966,0.29542983,0.29810634,0.3002268,0.29962662,0.2947681,0.286126,0.27675828,0.2696171,0.26572433,0.26270393,0.25729206,0.24774216,0.23709172,0.23055162,0.23111732,0.23586594,0.23934965,0.23877394,0.2354876,0.23122965,0.2248612,0.21316154,0.19422306,0.16940522,0.14304557,0.120001495,0.103450246,0.09404389,0.091306426,0.09548533,0.10693726,0.12394881,0.1407185,0.14986084,0.14765185,0.13866226,0.13483389,0.14764805,0.17968445,0.22081888,0.25575396,0.27437982,0.2794656,0.2813238,0.2889264,0.30196777,0.31393334,0.3173569,0.30874643,0.2880182,0.25875318,0.22902,0.21041347,0.2114212,0.23034286,0.25513074,0.2736683,0.28445944,0.3001331,0.33603704,0.39625147,0.46417475,0.5137987,0.5269036,0.5074118,0.47331396,0.44220266,0.41987443,0.40379485,0.39069614,0.38013983,0.37401745,0.3724643,0.37301043,0.36794087,0.34890428,0.31252167,0.26824692,0.23345478,0.22257026,0.2353961,0.25946832,0.28039512,0.29123077,0.29283133,0.28742632,0.27652475,0.26304692,0.25512987,0.2616876,0.28423116,0.31475088,0.34207964,0.36331412,0.38541475,0.41919872,0.4648161,0.5067267,0.5204335,0.49438357,0.44072983,0.38945198,0.3628119,0.3616668,0.36745408,0.36175978,0.33927408,0.30922708,0.28515038,0.27473128,0.27661398,0.2850938,0.2957633,0.30871692,0.3238548,0.3410027,0.36122462,0.39077818,0.43224117,0.47441086,0.49517453,0.47985733,0.43708932,0.39139536,0.36429462,0.3609768,0.37349597,0.39035845,0.40317127,0.40888676,0.40904173,0.4074464,0.4059415,0.40191308,0.3897557,0.36688197,0.33701003,0.3088129,0.28832516,0.27447864,0.2606641,0.24265681,0.22473483,0.21586573,0.22236685,0.24140143,0.26684275,0.2936716,0.32172462,0.35045385,0.37868908,0.40554237,0.43416628,0.4681883,0.50501925,0.5318093,0.5336251,0.5066255,0.46467257,0.42862746,0.4104961,0.40429267,0.39433494,0.3690013,0.33044264,0.2911436,0.2640076,0.25388741,0.25592732,0.26188612,0.266637,0.27407292,0.29140106,0.32448912,0.37087175,0.42329493,0.46903816,0.49301097,0.4839526,0.44479966,0.39546928,0.35887647,0.34597877,0.35106504,0.36272863,0.3733985,0.38193247,0.3889955,0.3942984,0.39394936,0.38142046,0.34934044,0.2966871,0.23166446,0.17027967,0.12818226,0.11534632,0.13264813,0.17227966,0.2193932,0.25857556,0.28048477,0.28630614,0.28502083,0.2874225,0.29952928,0.32048023,0.34526026,0.37001693,0.39517403,0.42548987,0.46438992,0.50952387,0.5479371,0.5639964,0.54825073,0.5075682,0.45906046,0.4192342,0.392979,0.37455586,0.35610387,0.3355372,0.3172131,0.30602753,0.30240372,0.30209422,0.301941,0.30325627,0.31301603,0.33479866,0.36827755,0.40873548,0.45493838,0.5013163,0.5323642,0.5273212,0.47863686,0.40453577,0.33492783,0.29181424,0.27731967,0.2828108,0.2991383,0.32157797,0.34755635,0.37301192,0.38968202,0.3862892,0.3536164,0.29353434,0.22023429,0.15430997,0.11024792,0.09118522,0.09079898,0.10079461,0.1169362,0.1404969,0.17462547,0.21836948,0.26448396,0.30316177,0.32867444,0.34159598,0.34747365,0.35243514,0.36414084,0.39079022,0.43814886,0.49954996,0.5530384,0.572691,0.5482518,0.4945624,0.4403292,0.40725386,0.39797708,0.39816585,0.39127088,0.3697287,0.34153947,0.3218118,0.32328376,0.34579754,0.37953755,0.41007587,0.42885494,0.4349089,0.438241,0.45344177,0.4909388,0.54314786,0.58413213,0.5875547,0.54748946,0.48429158,0.42526677,0.38670185,0.3677753,0.36032283,0.35809568,0.35905346,0.3637533,0.37056217,0.37363496,0.3632499,0.331095,0.27739647,0.21262465,0.15471004,0.12119008,0.12202551,0.15473913,0.2041951,0.25164223,0.28284988,0.29513052,0.29403841,0.29209736,0.30142376,0.3284479,0.36621824,0.39975217,0.4170022,0.42080387,0.4286295,0.4569755,0.5060219,0.5521364,0.5693326,0.54862267,0.5082487,0.4715624,0.44753456,0.42492434,0.38733295,0.33041373,0.26427427,0.2077307,0.17458181,0.17032696,0.19089717,0.22915547,0.27687085,0.32611987,0.36933658,0.40356603,0.43485823,0.4725624,0.51681405,0.55030704,0.5526597,0.5187222,0.46641624,0.41962755,0.3925213,0.3839756,0.38680628,0.3941671,0.40247452,0.40988693,0.4165196,0.42081228,0.4194295,0.4068545,0.3836725,0.3560375,0.33388326,0.3206458,0.31321207,0.3043294,0.28948078,0.2694265,0.24884355,0.23506303,0.23352867,0.24814396,0.27618912,0.31150207,0.34351692,0.36583576,0.37803534,0.39018372,0.4176822,0.46918485,0.53460234,0.5835508,0.5889452,0.5472427,0.48416826,0.43189535,0.40613326,0.4000328,0.39375088,0.3736941,0.33707127,0.29405212,0.25594974,0.23200364,0.22315103,0.22641195,0.23865028,0.26100525,0.29721382,0.34845695,0.4116784,0.47729298,0.5305836,0.5532231,0.53594655,0.4856219,0.4245886,0.37341157,0.34135076,0.3253679,0.32082048,0.3259124,0.34148753,0.36583862,0.39282057,0.41129115,0.41033033,0.3838737,0.33819363,0.28766486,0.24832173,0.2257619,0.2154029,0.20754385,0.19689624,0.18723093,0.18794163,0.20734529,0.24392228,0.2874509,0.32434297,0.3470982,0.35725772,0.3623587,0.37100413,0.38909638,0.4225457,0.47131312,0.52624613,0.56442887,0.56784296,0.5356555,0.4887335,0.44789243,0.41797638,0.38740805,0.34384,0.2907072,0.2441368,0.2218743,0.22633256,0.24525015,0.2616956,0.26802018,0.2720417,0.28718153,0.32439062,0.38179362,0.45222417,0.5218149,0.5753495,0.59555125,0.57685643,0.5304265,0.47995505,0.4434596,0.42512092,0.41805062,0.4163059,0.41721317,0.42122796,0.42615107,0.42899272,0.42291474,0.40128288,0.35907888,0.30390936,0.2535344,0.22855206,0.23342001,0.25514576,0.27263355,0.2757775,0.27021658,0.26957342,0.2824618,0.3070695,0.33594847,0.36184928,0.38054273,0.38953876,0.38729963,0.3770877,0.36937526,0.3818836,0.42469478,0.48872793,0.5439124,0.56299585,0.5412424,0.4989668,0.4600862,0.4338205,0.41366783,0.38867903,0.35538828,0.31697914,0.28060776,0.25147313,0.23310643,0.22450173,0.22158255,0.22005253,0.22220206,0.23781705,0.27936807,0.349822,0.43541846,0.5071277,0.5403101,0.5318515,0.50384533,0.48226893,0.47906113,0.4879546,0.49832883,0.50377697,0.5036977,0.49843514,0.48746765,0.4674891,0.43200675,0.37448582,0.295514,0.20709358,0.12751162,0.07067574,0.03943532,0.027196482,0.025695456,0.029707009,0.039725948,0.056577336,0.08179042,0.11636713,0.16628237,0.2351535,0.31781092,0.39626452,0.45224002,0.48154393,0.4982884,0.5223391,0.5604816,0.59712094,0.60572034,0.5707031,0.502815,0.43005154,0.37719488,0.34979713,0.3374177,0.3256679,0.30586663,0.2761171,0.23986627,0.20571105,0.18528731,0.18603443,0.20396195,0.22623189,0.24374473,0.26171732,0.29874775,0.36836052,0.46308574,0.54922754,0.59178334,0.5781713,0.5290186,0.47648492,0.44233844,0.42832792,0.42556533,0.4253514,0.42487004,0.42545643,0.42798722,0.42646918,0.40955803,0.3674611,0.3045698,0.23920287,0.194556,0.18081188,0.1908467,0.20522855,0.20878668,0.19880684,0.18695103,0.18859859,0.2129056,0.25768036,0.31260788,0.36660734,0.4104571,0.4396793,0.4545298,0.46369138,0.48187837,0.52194196,0.5817051,0.6387461,0.66379786,0.6429999,0.59020966,0.53327674,0.49064353,0.4598094,0.42640042,0.3826761,0.33437335,0.2957363,0.2746098,0.26640254,0.25769776,0.23886167,0.21185298,0.18840475,0.18305235,0.2070909,0.26779437,0.36062875,0.46553695,0.54584676,0.5739131,0.5470685,0.49425432,0.44791088,0.42663303,0.42768526,0.4408871,0.45604494,0.4665818,0.46835995,0.4612529,0.4466361,0.4265524,0.40059623,0.3711842,0.34170392,0.31695092,0.29718095,0.2814767,0.26953486,0.26427504,0.2678417,0.27849016,0.29080942,0.30056587,0.30910608,0.32191476,0.34304917,0.36956784,0.39372396,0.40955043,0.42071632,0.4399747,0.47740826,0.5262957,0.5595893,0.55026317,0.49397418,0.41619968,0.35220265,0.32181528,0.32147896,0.331575,0.33547115,0.32559177,0.3071865,0.28844985,0.27701816,0.27445042,0.27897796,0.28668106,0.2944193,0.3028095,0.31859124,0.35454604,0.41636696,0.49289107,0.5525828,0.56815344,0.53441244,0.47513855,0.41991153,0.3868338,0.37616658,0.38004902,0.39106488,0.40505803,0.42028725,0.4346877,0.4438108,0.44199446,0.42581657,0.39972278,0.37378457,0.3587924,0.3584012,0.36904064,0.3835163,0.39634117,0.40598944,0.41258803,0.4160203,0.41441998,0.40750316,0.39742425,0.38882533,0.3846061,0.38485062,0.3891252,0.4012742,0.4311633,0.4827807,0.5443613,0.5846925,0.5794984,0.52927285,0.4654037,0.42048547,0.40826836,0.41741216,0.4291091,0.43241537,0.42786515,0.42274714,0.42233098,0.42852172,0.43905234,0.45040962,0.45860338,0.460713,0.4543827,0.43707678,0.40705422,0.36684763,0.3242648,0.28803453,0.26045433,0.2368043,0.2105623,0.18086894,0.15227373,0.13098557,0.119437374,0.1157867,0.11575678,0.11694173,0.120171726,0.12857921,0.14226456,0.1582971,0.17231353,0.18575525,0.2030226,0.22723334,0.25225917,0.26644275,0.26035017,0.23563266,0.20559752,0.18693613,0.18871051,0.205329,0.22102284,0.22181548,0.20584643,0.18421334,0.17145568,0.17555599,0.19325481,0.21483076,0.23166786,0.24154289,0.24710989,0.25161365,0.2556016,0.2581779,0.25885224,0.25866294,0.2583715,0.25765985,0.25488985,0.24889849,0.23997404,0.2309199,0.2256937,0.2274086,0.23540024,0.2456605,0.25310743,0.25526404,0.2528711,0.24869764,0.2450859,0.24281658,0.24132515,0.23946643,0.23661147,0.23276871,0.22881748,0.22539763,0.22198094,0.21582831,0.2032154,0.182218,0.1553243,0.12912114,0.11012864,0.10079198,0.098145425,0.09762299,0.097413935,0.10101669,0.114345826,0.1401469,0.17387672,0.2052327,0.22536625,0.23205936,0.23039632,0.22692919,0.22612448,0.22846138,0.23258875,0.23630942,0.23813672,0.23767595,0.23567037,0.23318511,0.23071371,0.22780205,0.22325075,0.21596356,0.20710818,0.20012708,0.19931595,0.20492144,0.21361752,0.22069836,0.22537047,0.22950338,0.23535661,0.24250878,0.24926198,0.25414443,0.2572935,0.26196453,0.2755303,0.30894217,0.36525163,0.43208846,0.4797112,0.4846525,0.4448968,0.38547197,0.3341931,0.30608204,0.29711768,0.29743037,0.30001378,0.30415383,0.31104612,0.32018182,0.32656235,0.32300436,0.30390322,0.27162933,0.23525757,0.20591109,0.18862027,0.18182637,0.18084563,0.18317515,0.18947236,0.20089835,0.21606816,0.2305659,0.24073362,0.24668992,0.2526767,0.26242343,0.27695835,0.29535997,0.32000682,0.3580825,0.41468143,0.48271143,0.5383988,0.5566948,0.5290368,0.47231433,0.41346514,0.36972752,0.340168,0.31324837,0.28144413,0.24498636,0.20990951,0.18167497,0.16500747,0.16304149,0.17535566,0.19597894,0.21720771,0.23734649,0.2651156,0.3130707,0.3821536,0.45312437,0.49380818,0.48471746,0.43225852,0.36567423,0.31228462,0.28559348,0.28223464,0.29320863,0.30830613,0.3220476,0.33265173,0.34285906,0.3514832,0.35345554,0.33920226,0.30699432,0.26176858,0.21488126,0.17440234,0.14713974,0.13817264,0.15043814,0.18035306,0.21731,0.25040147,0.27398774,0.29104665,0.3069799,0.32538822,0.34373724,0.3581718,0.3690665,0.3853959,0.42018306,0.4758679,0.53570414,0.56795937,0.55187774,0.49401787,0.42614093,0.37909624,0.36227116,0.362666,0.35983375,0.34435967,0.31967744,0.29661426,0.28093407,0.27260947,0.26801646,0.26545474,0.26477048,0.26797172,0.28009954,0.3110931,0.36703053,0.44006005,0.5031293,0.52840537,0.50680447,0.45648608,0.4043902,0.3686389,0.35188982,0.35096395,0.3624959,0.3840395,0.4103649,0.43440047,0.4472357,0.44107202,0.41122568,0.36176196,0.30466726,0.25567862,0.22514372,0.21563955,0.22235757,0.23829691,0.25604627,0.27150515,0.2833906,0.29477572,0.30951086,0.33163345,0.3613263,0.395144,0.42643163,0.4505678,0.46960554,0.49265066,0.52782434,0.5698475,0.59835553,0.591253,0.5464831,0.4838818,0.43019095,0.39421406,0.36645964,0.3305072,0.28350252,0.23538174,0.20102651,0.18595178,0.18694575,0.19664706,0.21077363,0.2268428,0.24392563,0.2643136,0.29649904,0.35137758,0.42745924,0.50469285,0.54997516,0.54540515,0.49867678,0.4399434,0.39393544,0.36973193,0.36057246,0.3580182,0.35731336,0.35885584,0.3643532,0.3741912,0.38260862,0.3807265,0.3608981,0.32807192,0.29478678,0.27513587,0.27152207,0.2785715,0.28730074,0.2930927,0.29566202,0.29767546,0.30208084,0.309914,0.32184458,0.3386056,0.36139098,0.3881297,0.41405305,0.43598318,0.45743987,0.48666903,0.52379405,0.55468726,0.55640596,0.5204897,0.461941,0.41182923,0.39312342,0.40841222,0.4433302,0.4778409,0.49726212,0.49353418,0.46857294,0.43155095,0.3988222,0.38493252,0.39604732,0.42564082,0.45936838,0.48193,0.48225954,0.45679072,0.41070035,0.3569748,0.30951452,0.27673307,0.25838354,0.2498493,0.24632616,0.24598223,0.24849479,0.2543569,0.2630273,0.27300394,0.28028893,0.27881876,0.26202545,0.22729205,0.17941351,0.12983957,0.090973414,0.06899356,0.060933337,0.05792385,0.05194497,0.040646296,0.02705581,0.016121382,0.011521009,0.015109184,0.02657178,0.043457437,0.060766134,0.073782295,0.0807713,0.08545265,0.09513629,0.116433956,0.15011422,0.18915154,0.22277822,0.24284418,0.24818857,0.24297553,0.23265867,0.22136605,0.21159299,0.2051291,0.20244347,0.20272346,0.20335527,0.20212255,0.1978405,0.191163,0.18169175,0.16756123,0.1475717,0.12575506,0.11220663,0.115767896,0.13701896,0.16540454,0.18870522,0.20057543,0.20476359,0.20759742,0.212171,0.21507722,0.21155487,0.200285,0.1848902,0.17006528,0.15660472,0.14119664,0.11972725,0.09211993,0.06263163,0.037340973,0.020364532,0.012415096,0.011029112,0.01263642,0.014133518,0.014959603,0.016002426,0.01925618,0.025889391,0.037181173,0.05303523,0.07152828,0.08839074,0.1001723,0.10728126,0.114867635,0.12951769,0.15472029,0.18778586,0.22119202,0.24665363,0.25960848,0.26031002,0.25236604,0.24036098,0.2284474,0.21998137,0.21695013,0.21969819,0.22615425,0.23193274,0.23128389,0.21909583,0.19418593,0.16057052,0.12787521,0.10680243,0.10507875,0.12267237,0.15286459,0.18553005,0.21295573,0.23194076,0.24388845,0.2512083,0.2558476,0.25767913,0.25747633,0.25781074,0.2631903,0.27523828,0.29000565,0.29954416,0.2974931,0.28290135,0.25991294,0.23463212,0.21260573,0.19570172,0.18176967,0.1658833,0.14599332,0.1260062,0.114733964,0.118878305,0.1367067,0.15766221,0.16976607,0.16826612,0.15846698,0.15071481,0.15283279,0.16628899,0.18630432,0.20643137,0.22207534,0.23341787,0.24253114,0.24930155,0.2497316,0.23939304,0.21876879,0.19249497,0.1668058,0.14627613,0.13652705,0.14200795,0.16349973,0.1933105,0.22071332,0.23754485,0.24333663,0.24183603,0.2374808,0.23275809,0.22869675,0.2254104,0.22237472,0.21899134,0.21495788,0.21056123,0.20603321,0.20125861,0.19491868,0.18557791,0.17361903,0.16407754,0.16364612,0.17473799,0.19023997,0.19851409,0.1919279,0.17294806,0.1498461,0.12981449,0.11419504,0.10030212,0.0850629,0.06811946,0.05176291,0.039094497,0.03198306,0.030638741,0.035201948,0.045914993,0.06244114,0.08145431,0.09833959,0.109176815,0.11404901,0.11600248,0.12005677,0.12989585,0.14661437,0.16736574,0.18759221,0.20274042,0.21021688,0.20903204,0.20041746,0.18750964,0.1747363,0.16541283,0.16090761,0.16061532,0.1633241,0.16742264,0.17175311,0.17602624,0.18122323,0.18848394,0.19795199,0.2088228,0.21954644,0.22912967,0.23631664,0.24112755,0.24385142,0.2460283,0.24881834,0.2525793,0.2563413,0.258027,0.25732815,0.25625327,0.25885007,0.26678315,0.27777982,0.28693718,0.29027233,0.28735223,0.2804238,0.2730415,0.26738235,0.26413253,0.262126,0.26034102,0.2581668,0.25702712,0.2590882,0.26739752,0.28306544,0.3052586,0.32934237,0.34974316,0.36181352,0.3662127,0.3677237,0.37203297,0.3804966,0.38923797,0.3930702,0.38960102,0.3821089,0.37584364,0.37561476,0.3809025,0.38795102,0.39053595,0.38481987,0.3691682,0.3457911,0.32013032,0.30104482,0.296028,0.30643538,0.32524547,0.3446801,0.36398208,0.39372146,0.44362703,0.51018673,0.5701805,0.59825295,0.58576655,0.5488387,0.5116757,0.4887551,0.47915563,0.47527504,0.47178853,0.46689656,0.46112546,0.4548575,0.44692966,0.43282685,0.40731546,0.37171158,0.33609602,0.3140255,0.31098655,0.32178855,0.33579472,0.34570765,0.35034743,0.3518611,0.35296085,0.35555914,0.36220944,0.37425348,0.39058375,0.40660587,0.4183476,0.42649177,0.4375638,0.46089086,0.49996606,0.54774076,0.586454,0.60176057,0.592542,0.5719533,0.5526081,0.53539675,0.51113576,0.47137928,0.41872314,0.36396742,0.32025543,0.29463986,0.28833467,0.29819325,0.31980065,0.34814277,0.37648436,0.40012082,0.42048693,0.44712877,0.48517895,0.5231483,0.5358095,0.5073852,0.44925216,0.3924794,0.36275244,0.3642685,0.3843396,0.4079187,0.4268311,0.439425,0.44658127,0.4484099,0.44298136,0.4277794,0.40164328,0.36849964,0.33533776,0.30947602,0.2923312,0.2799288,0.26635888,0.2502853,0.23762469,0.23654972,0.2522315,0.28235826,0.32204136,0.3655299,0.40819243,0.44490445,0.47280213,0.49457166,0.51758504,0.54705024,0.577029,0.5912361,0.57516575,0.53125006,0.47869357,0.43921766,0.41868165,0.40734258,0.389999,0.36234486,0.3302051,0.3045731,0.28946403,0.2822236,0.27536047,0.2662293,0.2589854,0.2647619,0.29201338,0.3428204,0.40949583,0.47818804,0.5283315,0.5407387,0.5091654,0.44984588,0.39241472,0.3600595,0.35629055,0.36993328,0.38835338,0.40578294,0.42227742,0.43776926,0.44899836,0.44664046,0.42194477,0.37016928,0.2997488,0.22610857,0.1683882,0.1393057,0.14462076,0.18018748,0.23269284,0.28484014,0.3220112,0.34005487,0.34235454,0.33785638,0.3345565,0.33854,0.35115638,0.370505,0.39506808,0.4268256,0.46987304,0.5211212,0.56587577,0.58358395,0.5654721,0.52293664,0.48025694,0.4542122,0.44356823,0.43355307,0.41185316,0.3784187,0.3439841,0.32015023,0.31151927,0.31451294,0.32305172,0.3329259,0.34549567,0.36218652,0.38603225,0.4183624,0.4616641,0.5084536,0.5397501,0.5337874,0.48661557,0.4191581,0.36117342,0.3304764,0.32535982,0.33427644,0.34772882,0.36240754,0.3785135,0.39458308,0.4029311,0.39257947,0.35512957,0.29548082,0.22911678,0.17496108,0.14282961,0.1324562,0.1375217,0.15060952,0.16600509,0.17844279,0.18707407,0.19553892,0.21393354,0.24987054,0.3027922,0.3602755,0.4079567,0.43987858,0.46354923,0.49257421,0.5323041,0.5727985,0.59338474,0.58108634,0.5403529,0.49095562,0.45185292,0.4307581,0.42278704,0.41768387,0.4085485,0.39571092,0.38554192,0.38290346,0.38628057,0.38847753,0.3837725,0.37404084,0.36806345,0.37728918,0.40974644,0.4653709,0.5307994,0.5800323,0.5887421,0.5511646,0.48747063,0.4267248,0.38796988,0.3708224,0.36521068,0.3623338,0.36018357,0.36076748,0.3657405,0.3715683,0.369882,0.35075364,0.31240836,0.26385188,0.22268815,0.20325094,0.20944665,0.23284249,0.25964966,0.27940622,0.2891219,0.29237053,0.29464605,0.30236498,0.32070386,0.35132042,0.3888705,0.42423472,0.45214066,0.47691572,0.5094464,0.55443305,0.60178024,0.62882495,0.61912715,0.57582015,0.5199547,0.4723369,0.43790635,0.40755162,0.36811724,0.31730443,0.26292786,0.22018033,0.1994536,0.20338023,0.2263338,0.25905833,0.29297546,0.31975457,0.33820674,0.3556459,0.3888316,0.4444666,0.50828415,0.549619,0.5492173,0.5151643,0.47394705,0.44636074,0.43557012,0.43276766,0.43010548,0.4256934,0.42278823,0.42390695,0.42775932,0.42804214,0.41798362,0.39605066,0.36826906,0.34388623,0.32834092,0.31990287,0.31278273,0.30157542,0.28516942,0.26573017,0.24865462,0.2394463,0.24303944,0.260244,0.28804326,0.32015502,0.35074827,0.37807092,0.40568522,0.44173157,0.48789397,0.53431433,0.55903274,0.5498819,0.5151684,0.48126376,0.46708456,0.46961868,0.4703301,0.45243636,0.41523573,0.36802098,0.32463834,0.29382047,0.279506,0.2790468,0.2866573,0.3004252,0.32331422,0.3622013,0.4171537,0.4830548,0.5459853,0.5893282,0.5957672,0.5616369,0.50061935,0.4378142,0.3917865,0.36703503,0.3582529,0.36039868,0.37267175,0.39540014,0.42557156,0.45268628,0.46285537,0.44487154,0.40133664,0.34648132,0.29911187,0.26816246,0.25132847,0.23902883,0.22512452,0.21130246,0.20762134,0.22422802,0.2626058,0.3105441,0.34905934,0.36409858,0.35497406,0.33349213,0.31576744,0.31585777,0.3425866,0.3975675,0.47066316,0.53782535,0.57372016,0.56867915,0.5370012,0.5012235,0.47146145,0.43952116,0.39220592,0.33059123,0.27151328,0.2360905,0.23148513,0.24768142,0.2666341,0.27640048,0.27916053,0.2850379,0.30577812,0.345423,0.40379986,0.47109938,0.5305743,0.558923,0.54526615,0.49897572,0.44689742,0.41146553,0.39970997,0.40489593,0.41797498,0.4331061,0.44733348,0.45825234,0.4625549,0.4548453,0.4299648,0.38679656,0.3349152,0.2902136,0.2673614,0.26668334,0.27663216,0.28193465,0.27765867,0.27043042,0.2714138,0.28620267,0.31117514,0.3376893,0.3575618,0.36703637,0.3679935,0.36699462,0.37437746,0.39996815,0.44708383,0.5049402,0.54905564,0.5557384,0.52069455,0.46481034,0.41740337,0.39234808,0.3813962,0.36486933,0.33320722,0.29037783,0.25091627,0.22450621,0.21375878,0.21229835,0.21360123,0.21615517,0.22627401,0.25393775,0.30492908,0.37719667,0.45640445,0.52024966,0.5475574,0.53626674,0.50603735,0.4843304,0.48446158,0.5005593,0.51900476,0.5310312,0.53580445,0.5351669,0.52944416,0.5150741,0.4854991,0.43560192,0.3677623,0.29450905,0.23227869,0.19165766,0.17195314,0.16462679,0.16118096,0.15765409,0.15471658,0.15471472,0.16106308,0.17833686,0.21055794,0.25704238,0.3091286,0.3549192,0.3872995,0.41098705,0.43896127,0.48063207,0.52959657,0.56279397,0.558305,0.5146045,0.45482358,0.40616503,0.37751874,0.35519183,0.3193326,0.2638635,0.19977735,0.14600584,0.1151356,0.11054173,0.12737013,0.15798028,0.19201891,0.22256488,0.25005475,0.28677914,0.34509897,0.42397842,0.50064236,0.5466227,0.54942155,0.52274007,0.49182156,0.4740028,0.47051844,0.4744434,0.47889137,0.4816796,0.48247668,0.48129427,0.47285613,0.44767952,0.3958931,0.3190255,0.2319622,0.15689144,0.108365364,0.08737568,0.08378851,0.086365364,0.08879462,0.090530686,0.09341816,0.09957736,0.113408186,0.1412503,0.18836178,0.25108778,0.31813446,0.3776623,0.42810977,0.47883296,0.5372441,0.59634805,0.63154507,0.6227932,0.5717564,0.506046,0.45438483,0.42583892,0.40708518,0.3790264,0.33604392,0.2858807,0.24316429,0.2154891,0.20339145,0.19956206,0.19654621,0.19118367,0.19078034,0.20953687,0.2610904,0.34531572,0.44503602,0.52830404,0.5693526,0.56238055,0.52809453,0.49353358,0.4758904,0.47392014,0.4783659,0.48087072,0.47938582,0.47529927,0.47006392,0.4598982,0.43712965,0.39440432,0.33401093,0.26848522,0.21559171,0.18775158,0.18828803,0.2119509,0.24954264,0.290068,0.32424936,0.34710643,0.3607695,0.37338254,0.39390966,0.42654526,0.46683344,0.506025,0.53726625,0.5615868,0.585149,0.6101451,0.6284959,0.6243186,0.58999425,0.5344361,0.48035875,0.44449398,0.4277366,0.4177514,0.4047861,0.38978198,0.3807815,0.38283515,0.39267173,0.40291667,0.40811554,0.40839055,0.406983,0.40928486,0.42171323,0.45220348,0.50193846,0.5596376,0.6008989,0.60678023,0.5776778,0.5352137,0.50251365,0.48977005,0.49218503,0.5007711,0.5094509,0.5164481,0.52152675,0.5249633,0.5257272,0.5222716,0.51303136,0.5000912,0.4880632,0.48234224,0.48446473,0.49256346,0.502751,0.51241505,0.5207143,0.5276847,0.5326893,0.5339301,0.53004885,0.5215011,0.51109535,0.5021716,0.49760056,0.50016505,0.51437765,0.5435824,0.5828286,0.61525494,0.6205817,0.59249264,0.5445551,0.5008692,0.4759209,0.46871474,0.46807,0.46637356,0.46356604,0.46455345,0.47232962,0.4853591,0.49977693,0.51223,0.52184707,0.5291717,0.53517574,0.53871226,0.5350339,0.5165078,0.47792128,0.42185894,0.35993955,0.30554584,0.26542386,0.23516233,0.20565641,0.17155741,0.13692291,0.1105747,0.09907589,0.101220004,0.109665014,0.11484177,0.11015963,0.094085544,0.07110563,0.04829021,0.033259038,0.031780995,0.04937163,0.0876274,0.14159214,0.19678332,0.23813544,0.25785267,0.26106665,0.25793788,0.25662634,0.2583046,0.26074788,0.2615951,0.26039457,0.25771368,0.25401443,0.24949913,0.24427398,0.23888,0.23358361,0.22782403,0.21975897,0.20761408,0.19133781,0.17335291,0.15740158,0.1463102,0.14138722,0.14270319,0.15031534,0.16331668,0.17938828,0.19473304,0.20638628,0.21346574,0.21718891,0.21898393,0.2194333,0.21815927,0.21484959,0.20978026,0.20401406,0.19894399,0.19620304,0.19693524,0.20152038,0.20883262,0.2172326,0.22478314,0.23023349,0.23212545,0.22968055,0.22279261,0.21327294,0.20373668,0.19688095,0.19410308,0.19530715,0.19914512,0.20330696,0.20579302,0.20526291,0.20217676,0.1978399,0.19426823,0.1920207,0.18986882,0.18440123,0.17296402,0.15552719,0.13564287,0.11788896,0.10536435,0.09840208,0.09561547,0.09551796,0.09768227,0.102817394,0.11241996,0.12714128,0.14591448,0.16545801,0.18273513,0.19618355,0.2064883,0.21445431,0.2206399,0.22513378,0.22876538,0.23251988,0.23701036,0.24163438,0.24502732,0.24569868,0.24292624,0.23724408,0.2300864,0.22241955,0.21289374,0.19843523,0.17689109,0.15056853,0.12551136,0.10817642,0.10087797,0.101218574,0.10349482,0.10200941,0.0931651,0.077130266,0.057400525,0.039494094,0.029414264,0.033281293,0.055649053,0.09581957,0.14450657,0.1868235,0.21091361,0.21516614,0.20739074,0.19770408,0.19256318,0.1932252,0.19774224,0.20295733,0.20642251,0.20706384,0.20534454,0.20221172,0.19870444,0.19571002,0.1937143,0.19241063,0.1903208,0.1860262,0.17902257,0.17079496,0.16377406,0.160299,0.16130833,0.1662222,0.17325701,0.17988987,0.18367195,0.18317525,0.17891198,0.17308557,0.16848995,0.16688795,0.16841783,0.17165928,0.174971,0.17700158,0.17724119,0.17536558,0.17156261,0.16649128,0.16177453,0.1592964,0.16049777,0.16526173,0.17171621,0.17666417,0.17716767,0.17217462,0.163316,0.15367347,0.14566164,0.13916571,0.13175748,0.12016059,0.10280595,0.081176914,0.059651356,0.043174338,0.035202656,0.036611646,0.04592262,0.05973055,0.07365564,0.084082566,0.08960847,0.091166645,0.09054277,0.08915227,0.087720565,0.08683565,0.087083615,0.08862403,0.09047267,0.09039087,0.08644256,0.07913638,0.07291397,0.07320724,0.08242988,0.09722752,0.112339795,0.12474987,0.1357658,0.14754038,0.16111338,0.17571916,0.1904258,0.20378192,0.21432237,0.2210247,0.22477214,0.22734046,0.22978921,0.23044099,0.2261926,0.21485734,0.1981145,0.18107621,0.17001708,0.16850387,0.1759182,0.18771768,0.19811381,0.20190483,0.19660014,0.18383388,0.16872652,0.15672547,0.14801426,0.1380348,0.12097322,0.096574426,0.06970375,0.047746554,0.035879925,0.036008634,0.046199393,0.061486732,0.07528821,0.08267898,0.08237854,0.076788634,0.06920869,0.062002998,0.05586341,0.050723325,0.04630683,0.04241799,0.03893088,0.035739634,0.0330445,0.032090276,0.035921425,0.048804056,0.0728466,0.10509905,0.13717055,0.16057968,0.17069794,0.16824925,0.15535997,0.13508412,0.112184286,0.095567584,0.09368766,0.10953393,0.13716145,0.16721813,0.19223113,0.20962752,0.21801542,0.21546833,0.20085524,0.17870124,0.15905233,0.15228485,0.16135502,0.1809948,0.2020488,0.21791059,0.22557046,0.2246735,0.21560241,0.19939463,0.17700683,0.14929615,0.11769229,0.0854119,0.0570702,0.036770053,0.026442377,0.026104057,0.034230534,0.048010956,0.06258092,0.07315597,0.07713122,0.07654533,0.07649645,0.0825493,0.09659734,0.11505145,0.12953292,0.13251625,0.12277752,0.10825641,0.09998208,0.10500735,0.12066841,0.13886316,0.15166391,0.15677822,0.15626365,0.15351623,0.15042114,0.14704609,0.14464329,0.14624019,0.1562519,0.17544203,0.20021783,0.22342688,0.23839325,0.24220563,0.23619725,0.22625153,0.21671021,0.20895214,0.19822598,0.1808341,0.15554583,0.1275642,0.10327152,0.08934183,0.0888921,0.10181136,0.124097385,0.14916575,0.17085034,0.18462066,0.18864584,0.18154196,0.16382022,0.1392561,0.116657235,0.10513801,0.1084497,0.12191641,0.13735057,0.1488028,0.15546928,0.15979889,0.16523027,0.17429002,0.18600535,0.1946817,0.19191916,0.17284404,0.14034754,0.103908844,0.07332441,0.053348843,0.042871494,0.038069967,0.035621077,0.03419578,0.034818888,0.04106876,0.05779053,0.08688291,0.12326405,0.155733,0.17387442,0.17583416,0.16863675,0.16368227,0.16754512,0.18045603,0.19517691,0.20419715,0.20168471,0.18815017,0.1688544,0.15245931,0.1455461,0.14739554,0.14977987,0.14320946,0.12635054,0.108689316,0.10308955,0.115253784,0.13849907,0.1604802,0.17213528,0.17294689,0.16728385,0.15910667,0.14930637,0.13662334,0.12077087,0.10355406,0.08933004,0.081545055,0.08097478,0.084396146,0.08766469,0.08783943,0.084670246,0.07939142,0.07347616,0.06780747,0.06267707,0.05809307,0.053972334,0.050214548,0.046739187,0.043516695,0.04060408,0.03804795,0.035789054,0.033947702,0.033843335,0.039001126,0.054342035,0.08200506,0.11698624,0.14672779,0.15829314,0.1474638,0.12298768,0.10069534,0.09213222,0.09718615,0.10671815,0.11275778,0.11527029,0.120036066,0.13082173,0.14554723,0.15935732,0.17003858,0.17868562,0.1866287,0.19176066,0.19060151,0.18050422,0.16259287,0.13886209,0.11240701,0.08672992,0.06798556,0.06233743,0.07231708,0.093402565,0.1155018,0.12866183,0.12972836,0.12431104,0.12306187,0.13271858,0.15169875,0.17075121,0.1814236,0.1812889,0.17550068,0.17163081,0.17485517,0.18504496,0.19773345,0.20750274,0.21087539,0.20745938,0.19866689,0.18608165,0.17095737,0.15445472,0.13880982,0.12726544,0.12321033,0.12845731,0.14117394,0.15578564,0.16364042,0.15867794,0.1415189,0.12201017,0.11230134,0.11902287,0.1380873,0.15909518,0.17347229,0.17948902,0.18093288,0.18161787,0.18235166,0.18091542,0.1746645,0.16260022,0.14739859,0.13478279,0.13168699,0.14098364,0.16044383,0.18268801,0.20070098,0.20910068,0.20612161,0.19172204,0.16864061,0.14134127,0.11536945,0.094737224,0.08127386,0.07490313,0.07418799,0.0766365,0.07874917,0.0780618,0.07388089,0.06785976,0.06198067,0.057667222,0.05486722,0.052893177,0.051375877,0.051532734,0.056066513,0.06733214,0.084976524,0.10494762,0.12224457,0.13358392,0.14005484,0.14450888,0.15050678,0.15785253,0.16458899,0.16686352,0.16568045,0.16497786,0.17093396,0.18366522,0.19875263,0.20858097,0.20932455,0.20103769,0.18747173,0.17267261,0.15949166,0.14853124,0.13879086,0.12967159,0.12225021,0.118822195,0.12081609,0.12694943,0.13417907,0.13872737,0.1388427,0.13452683,0.1278227,0.12010831,0.11173954,0.10147772,0.08948949,0.07836083,0.07477877,0.084732324,0.109719194,0.14224376,0.17044723,0.18481342,0.18435366,0.17574333,0.16690664,0.16207056,0.15997903,0.15790229,0.15431274,0.1499992,0.14709528,0.14770134,0.15331721,0.16210465,0.1696832,0.17050801,0.16346063,0.15137662,0.13958673,0.13034348,0.12429786,0.12147189,0.12498236,0.13719393,0.15743564,0.17806208,0.18909943,0.18341255,0.16354083,0.13984662,0.12429268,0.122602336,0.13222753,0.14632381,0.15848207,0.16562836,0.16677658,0.16190962,0.15213095,0.14072432,0.13375269,0.13551114,0.14513533,0.15448743,0.15523086,0.14540297,0.13283339,0.12842648,0.13690245,0.15158278,0.16004035,0.15518697,0.14325106,0.13799043,0.14897394,0.1716854,0.19231461,0.1968664,0.18072881,0.14892688,0.11388415,0.089263655,0.08372852,0.09591014,0.11482775,0.12797315,0.12977222,0.12513031,0.12215003,0.12334764,0.122303665,0.111195564,0.088829674,0.06242442,0.04063274,0.027622232,0.021857658,0.0198437,0.018908644,0.018035976,0.017086713,0.01614781,0.01530221,0.014565269,0.013957609,0.0134712355,0.013106306,0.012849034,0.012693635,0.012625535,0.012617766,0.012656178,0.012840529,0.013635465,0.016058132,0.021555796,0.03108061,0.04418537,0.058635693,0.07167222,0.08129781,0.087281175,0.09040689,0.09184142,0.092341095,0.09255922,0.09296393,0.09390826,0.09517864,0.09620154,0.09650784,0.09651213,0.09730453,0.09985038,0.10387337,0.10797688,0.110677265,0.11162454,0.11169546,0.11190795,0.1127418,0.11417302,0.11637006,0.11950367,0.12322078,0.12658925,0.12860079,0.1289782,0.12815063,0.127203,0.12723716,0.12898546,0.13227952,0.13652481,0.14106406,0.14574583,0.15007572,0.15329506,0.15456463,0.1545247,0.15517183,0.1587765,0.16607279,0.17580159,0.18581796,0.19433677,0.201047,0.20674978,0.21274684,0.21942346,0.22579026,0.23020233,0.23172028,0.23127578,0.23070492,0.23191518,0.23555714,0.24162142,0.24963208,0.25945178,0.2709811,0.28378698,0.2964377,0.30685186,0.3131001,0.31453344,0.31180713,0.3066769,0.30129004,0.29818216,0.30007792,0.30885088,0.3238459,0.3408611,0.35506663,0.3646102,0.37261894,0.38258648,0.39418557,0.40184608,0.40054253,0.38953257,0.37289736,0.3553951,0.3406638,0.33183798,0.33099684,0.33771333,0.3468659,0.3544577,0.36266473,0.3834723,0.4275904,0.4935242,0.56092495,0.60467476,0.6113257,0.5889807,0.5562268,0.5284483,0.50941557,0.49661267,0.4863942,0.47787097,0.4706832,0.4642069,0.45514786,0.43925396,0.41397083,0.38356414,0.3574153,0.3446038,0.34601095,0.3548046,0.36191246,0.36345455,0.3625921,0.36510226,0.374627,0.39057168,0.4119383,0.43898973,0.47203365,0.508408,0.5434087,0.5743689,0.60242707,0.6288402,0.6502924,0.6588003,0.6485719,0.6217719,0.5868323,0.5518927,0.51836854,0.48447415,0.44871736,0.4160299,0.39278793,0.38362768,0.38518307,0.39094877,0.39606664,0.40124306,0.40810525,0.41522953,0.42212972,0.43579495,0.46749783,0.5167349,0.5624268,0.5779639,0.5560033,0.51635236,0.48606405,0.47727534,0.48300204,0.49055696,0.4934448,0.49262717,0.49033523,0.48525944,0.4718742,0.44544184,0.40673637,0.3640882,0.3276528,0.30253968,0.2853825,0.26927766,0.25097844,0.23456246,0.22777802,0.23550904,0.25674543,0.2868825,0.32223132,0.35994574,0.39645007,0.4269401,0.45064902,0.4735465,0.5046351,0.5452879,0.58360106,0.6013582,0.5889142,0.55346936,0.51115525,0.47298142,0.43813875,0.4006953,0.35902658,0.3183248,0.28590727,0.2645769,0.2518354,0.24268413,0.23681776,0.24036814,0.2623978,0.30464783,0.35975266,0.41571903,0.46557817,0.50387186,0.5264339,0.5288315,0.5172514,0.50276136,0.4965273,0.49866343,0.50455064,0.50851893,0.509151,0.50572646,0.49590442,0.4734986,0.4316689,0.36820507,0.29051396,0.21288992,0.15055698,0.11378455,0.107066505,0.12885813,0.17004049,0.21597755,0.25198045,0.27276087,0.2845879,0.3011271,0.3329933,0.37941256,0.42894349,0.4681336,0.4942139,0.51720214,0.5499818,0.5922208,0.62547326,0.6272564,0.591373,0.53435636,0.4807866,0.44266462,0.41508412,0.38597444,0.35115027,0.31496057,0.28593394,0.2683256,0.26213297,0.2654535,0.27713117,0.29779255,0.32472396,0.3560519,0.39166775,0.43875274,0.49665275,0.5501773,0.5731965,0.5543501,0.5078421,0.46192208,0.43477166,0.42620203,0.4264429,0.42855835,0.4313793,0.43531296,0.43696368,0.4271396,0.39539292,0.33754382,0.26259387,0.18860464,0.13320802,0.10334679,0.09493693,0.09871132,0.10708197,0.117693484,0.13267155,0.15788342,0.20174144,0.2703137,0.36117482,0.4571093,0.5354242,0.58027595,0.5960919,0.60049087,0.60998136,0.62536407,0.6339598,0.62355715,0.59463495,0.5600376,0.533674,0.5211122,0.51910347,0.5209756,0.52215177,0.5213755,0.5202864,0.52190596,0.5295523,0.54439265,0.56302166,0.57676727,0.5771225,0.5642707,0.55101293,0.5534742,0.57519084,0.6013596,0.6114556,0.5978992,0.5707896,0.54618555,0.53292054,0.52947456,0.53083485,0.53270906,0.5331374,0.528328,0.51181465,0.47509488,0.41342846,0.332014,0.24644966,0.178123,0.14348513,0.14693092,0.1778881,0.21681593,0.2463278,0.25928503,0.2613093,0.26516303,0.28421143,0.32415673,0.37838015,0.4313512,0.46921253,0.49136075,0.5098298,0.5392375,0.5812176,0.6216359,0.63909024,0.62425023,0.58443666,0.5370827,0.49125254,0.44502464,0.3905327,0.3278853,0.26652226,0.22146873,0.20300026,0.21231093,0.24336497,0.28731307,0.3373098,0.38434705,0.42222115,0.4496832,0.47783422,0.51476276,0.5543206,0.5745179,0.56070817,0.5204149,0.47761944,0.45169762,0.4461795,0.45272267,0.46173537,0.46776938,0.4692956,0.4653437,0.45312247,0.42961773,0.39547053,0.35793725,0.32704642,0.30893436,0.30103493,0.29493102,0.28292462,0.26382753,0.24286783,0.22798419,0.22581322,0.24080987,0.274585,0.32439587,0.38090137,0.43205646,0.47002962,0.49870825,0.53084946,0.57675385,0.6307788,0.6696858,0.6700795,0.62825507,0.565784,0.5094292,0.4702212,0.4386648,0.40090176,0.35365006,0.30607465,0.26942006,0.24939865,0.24378692,0.2488058,0.26205912,0.2864394,0.32397082,0.37527308,0.4360772,0.50035113,0.5550254,0.5822343,0.56804496,0.5168098,0.45173296,0.39838922,0.36910966,0.35988715,0.36133742,0.367062,0.37573385,0.3872851,0.3978521,0.39933324,0.38276783,0.34710637,0.3010026,0.25838095,0.22762732,0.20773505,0.19144006,0.17444378,0.16061194,0.16065224,0.18254115,0.22326452,0.2676814,0.29815927,0.3053491,0.29274765,0.272804,0.26163673,0.27599204,0.32787994,0.41398278,0.50856906,0.5753789,0.59291685,0.5695567,0.53063077,0.49272528,0.4533994,0.40305838,0.3428208,0.28647536,0.24989082,0.23848613,0.24451979,0.2553793,0.2629715,0.27223137,0.2927953,0.3327234,0.38876453,0.45409656,0.5168413,0.5635657,0.5795261,0.5623006,0.52604985,0.4932591,0.4774046,0.47717658,0.48418292,0.49165952,0.49679586,0.49631718,0.487429,0.4662272,0.43232355,0.38554898,0.3336546,0.28724918,0.2602937,0.25557724,0.26689944,0.28061092,0.28864852,0.29050186,0.2911878,0.29518107,0.3017583,0.30684283,0.30492827,0.2942268,0.27789757,0.26476005,0.26839745,0.30296028,0.37378848,0.4666654,0.54869056,0.5892276,0.58130103,0.54532045,0.50630814,0.4746093,0.44461527,0.4092826,0.369607,0.33183548,0.30191442,0.28294253,0.27555656,0.2783959,0.2881339,0.3046056,0.3300617,0.36906627,0.4203708,0.47715473,0.5252035,0.55172426,0.55273,0.5388386,0.5265922,0.52529114,0.5318163,0.53712815,0.53595,0.52858216,0.5179992,0.50492406,0.4842254,0.44622958,0.382449,0.29614744,0.20256001,0.122243494,0.06742394,0.038438838,0.027211135,0.02569788,0.030161029,0.03989588,0.05637263,0.08329738,0.12889151,0.19969732,0.29237565,0.388832,0.46702817,0.51610965,0.5440375,0.567344,0.5935443,0.6133887,0.6098338,0.57689935,0.52550954,0.47527823,0.43694475,0.40857318,0.38043293,0.3459601,0.30369473,0.25764415,0.21594672,0.18975456,0.18685065,0.20335416,0.22502601,0.23934478,0.24973623,0.2752634,0.3325018,0.4174439,0.50007397,0.5469922,0.5432438,0.5047974,0.45990172,0.4299387,0.41730228,0.41457653,0.41448787,0.41577724,0.41811642,0.41865918,0.4091954,0.38304773,0.33897278,0.2869731,0.2416253,0.21437615,0.20453978,0.20114921,0.19345446,0.17916463,0.16780776,0.17048939,0.19481944,0.24049546,0.3052738,0.38369754,0.4665233,0.5389145,0.590215,0.62085795,0.6444424,0.6719714,0.7023368,0.7183196,0.70512885,0.6609548,0.60186744,0.5448107,0.4969318,0.45229805,0.4039552,0.3533868,0.3095332,0.28036055,0.26388368,0.2519283,0.23705441,0.2208842,0.2119198,0.22124583,0.25723603,0.3230897,0.41103864,0.50022453,0.5613177,0.57646006,0.5499609,0.5067737,0.47071502,0.45264617,0.44903672,0.45216346,0.45614347,0.45833227,0.4587555,0.45833316,0.45767283,0.45574525,0.45123813,0.44399068,0.43510303,0.42576826,0.4166223,0.40863606,0.4027456,0.39938715,0.39736602,0.3952906,0.39224258,0.38838777,0.38427088,0.3803922,0.3778559,0.37849817,0.38684666,0.40906405,0.4499072,0.5041752,0.55454844,0.57914513,0.56890565,0.53474516,0.5000681,0.48146197,0.4807793,0.48817325,0.49547318,0.5000445,0.5045223,0.509761,0.5147112,0.5171628,0.5167806,0.51312226,0.50508386,0.49219573,0.48164657,0.48458442,0.5075883,0.537493,0.5511244,0.53137606,0.485034,0.43210188,0.3897848,0.3614746,0.34261465,0.32929286,0.3215129,0.32106936,0.32834318,0.33959424,0.34842885,0.3482962,0.33861473,0.32406595,0.31201854,0.30596176,0.30510947,0.3066709,0.3099791,0.3164101,0.32692286,0.3394204,0.35085654,0.35978702,0.36815974,0.37730244,0.3866761,0.39522573,0.40697673,0.43082687,0.47175828,0.52138364,0.55690235,0.5581741,0.5230008,0.47139654,0.42846027,0.40699217,0.4024783,0.40175533,0.39700818,0.38819468,0.38146093,0.38004288,0.38372943,0.3883535,0.39086065,0.389846,0.38554975,0.37682745,0.36066723,0.33444706,0.2992008,0.2602273,0.22337748,0.19201267,0.16593887,0.14388964,0.124856226,0.10895469,0.09654555,0.08814201,0.08417364,0.08593645,0.09445396,0.10969925,0.12779301,0.14514816,0.1603776,0.17880164,0.20377253,0.23290227,0.25309014,0.25290892,0.2307284,0.20192145,0.18637078,0.19600911,0.22359826,0.25102836,0.26224807,0.2554068,0.24115074,0.2317364,0.23181279,0.2355269,0.23591323,0.23157263,0.22951122,0.2364436,0.25247934,0.26969233,0.27918944,0.27709332,0.26605403,0.25136933,0.23652107,0.22237647,0.20947386,0.20095833,0.2010258,0.21087886,0.22646897,0.24078786,0.24868064,0.24894215,0.24387139,0.23687725,0.23051167,0.22546597,0.22094245,0.21614872,0.21087344,0.2054975,0.20044018,0.19623168,0.19299273,0.19030948,0.18753093,0.18482023,0.18315096,0.18351017,0.1859855,0.18974318,0.19353975,0.19639474,0.19849356,0.20110238,0.20567076,0.21205367,0.21866052,0.22380078,0.2273494,0.23040168,0.23370297,0.23695546,0.23913449,0.23987347,0.23920321,0.23751317,0.23474188,0.23099695,0.22595264,0.21867044,0.20708501,0.19062829,0.17270987,0.16194804,0.16619812,0.18686694,0.21528687,0.23960166,0.25092706,0.24870618,0.23747067,0.22402567,0.21350016,0.20830429,0.2075798,0.20794374,0.2059397,0.19990553,0.19153689,0.18382086,0.17887373,0.17604916,0.17351018,0.1699882,0.16585733,0.16213365,0.15995884,0.16007866,0.16297275,0.16777271,0.1723669,0.17364325,0.16978066,0.16114531,0.15080547,0.14219344,0.13740794,0.13590801,0.1357883,0.13528274,0.1339249,0.13233791,0.13147824,0.13204628,0.13438928,0.13833618,0.14334153,0.14830947,0.15238877,0.15483706,0.15560172,0.15485471,0.1536635,0.15324418,0.15477628,0.15849994,0.16410321,0.17062543,0.17640199,0.17931531,0.17786014,0.1726109,0.16573295,0.15992442,0.1571536,0.15932798,0.16760905,0.1811501,0.19558467,0.2055402,0.20842303,0.20637095,0.2034129,0.20138474,0.19876881,0.19284017,0.18236738,0.16854061,0.15474689,0.14641342,0.1488453,0.16408545,0.18791117,0.21243398,0.23067047,0.24011867,0.24117975,0.23492433,0.22219305,0.20444053,0.18332618,0.160164,0.13702002,0.118875116,0.11306548,0.12379471,0.14748178,0.17375599,0.19323267,0.20321192,0.2072417,0.20942794,0.2104875,0.20805801,0.1994467,0.18406527,0.16383894,0.14268841,0.12484955,0.113488816,0.109649815,0.1122522,0.11936545,0.12955199,0.14344148,0.1617714,0.18348593,0.20349886,0.21629946,0.21903704,0.21421649,0.20679374,0.20162225,0.20098515,0.20472671,0.21071458,0.21593256,0.21787606,0.21561335,0.21014611,0.2035237,0.1976168,0.19329725,0.19029798,0.18789542,0.18569864,0.18438037,0.18537138,0.18976866,0.19703557,0.20464343,0.2088715,0.20683809,0.19813393,0.18559568,0.17337231,0.16516805,0.1627049,0.1665944,0.17634924,0.19014214,0.20433982,0.21494323,0.22003686,0.22084951,0.22013824,0.2195764,0.21843714,0.21547572,0.21068083,0.20651077,0.2057001,0.2098348,0.2178185,0.22691798,0.23365892,0.23546092,0.23162802,0.2235332,0.2134725,0.20307596,0.19293357,0.18349332,0.1756159,0.17054825,0.1692739,0.17290425,0.18171257,0.19443506,0.20735134,0.21647494,0.2193631,0.21639156,0.2096976,0.20238827,0.19775826,0.19827713,0.2046349,0.21522771,0.227259,0.23793791,0.24593325,0.25169745,0.25703108,0.26326093,0.2695172,0.2724911,0.26875177,0.2576834,0.24249594,0.2278613,0.21676593,0.20926172,0.20382415,0.19935906,0.19574213,0.1935618,0.19317661,0.19458209,0.19715728,0.20012277,0.20289837,0.2052815,0.2072529,0.20848735,0.20866257,0.20771144,0.20618506,0.20468545,0.20362084,0.20334558,0.20459801,0.20803566,0.21318626,0.21780443,0.2192669,0.21622531,0.2098115,0.20215423,0.19507472,0.18885398,0.18304883,0.17693807,0.16993485,0.16085617,0.14825433,0.13204414,0.116330825,0.10861047,0.11488483,0.13287176,0.15198372,0.15938903,0.14862442,0.121928036,0.087715425,0.0551226,0.030433709,0.015415527,0.008160651,0.0053101857,0.0041160337,0.0032748727,0.0024563612,0.0017218868,0.0011434476,0.00075582316,0.0005389292,0.000460492]