[0.014802566,0.015233857,0.017714504,0.027544677,0.054254383,0.104422845,0.1714635,0.2319239,0.26008108,0.24707502,0.21028928,0.17519109,0.15484835,0.14006473,0.11768532,0.08428552,0.05071166,0.028294578,0.022514096,0.032218564,0.053030323,0.07902074,0.10334706,0.12327873,0.1415994,0.16578509,0.20050852,0.24398966,0.28798983,0.3252833,0.35147342,0.36464643,0.3608868,0.34285817,0.32272634,0.31969538,0.33669364,0.35698268,0.35680744,0.33619002,0.31573796,0.31269136,0.31509146,0.29533854,0.23915905,0.16171946,0.091594,0.048343673,0.033256553,0.03596352,0.045533355,0.056176204,0.071854554,0.09935359,0.14032722,0.18014894,0.1988994,0.18800807,0.1664626,0.16678494,0.2106753,0.28745973,0.36434624,0.40876833,0.4094508,0.3719752,0.30941987,0.2327439,0.15531714,0.090138294,0.04698504,0.025078513,0.018120775,0.01921711,0.02626895,0.03711689,0.048946653,0.057790328,0.06700169,0.08325409,0.11183085,0.14443801,0.16759753,0.17362815,0.17489706,0.19185823,0.23662925,0.29779163,0.35250452,0.3836509,0.39228877,0.39004377,0.3857075,0.3781204,0.36096954,0.3360506,0.31923437,0.3314505,0.37837997,0.441137,0.49054673,0.5108029,0.50923365,0.4994795,0.4845384,0.45059368,0.38676715,0.295294,0.19706963,0.11345289,0.058021054,0.02899615,0.018707836,0.020359648,0.035411123,0.070931144,0.13163614,0.21151672,0.29296395,0.35799316,0.39805746,0.41832075,0.4289924,0.43811047,0.4464642,0.44906148,0.44100702,0.42369857,0.40640828,0.39653465,0.38932106,0.36881164,0.3243054,0.2641264,0.21400718,0.19549543,0.20983984,0.23659305,0.25194752,0.24642102,0.22807091,0.21494813,0.21793534,0.23457162,0.2500982,0.25228217,0.24319015,0.23275839,0.22947846,0.22925578,0.23088111,0.23611255,0.25025132,0.26734802,0.27541825,0.26644647,0.24050902,0.20472008,0.16229299,0.11916862,0.07984925,0.052455146,0.038939796,0.03852914,0.048372433,0.070222594,0.10727421,0.15669638,0.2024641,0.2221107,0.20217173,0.15137117,0.09299029,0.048947264,0.02636367,0.021434492,0.027357241,0.03835186,0.049602687,0.05659668,0.06026124,0.06408725,0.07225271,0.0836496,0.09973241,0.12616669,0.17472076,0.24756627,0.33280477,0.4008161,0.42546406,0.3985695,0.3438855,0.29793656,0.28805113,0.31077966,0.34288898,0.35646954,0.33695605,0.2833721,0.20893717,0.13334934,0.074672155,0.039842132,0.024439739,0.019835858,0.020072924,0.023751311,0.03001746,0.036754996,0.041492276,0.046558756,0.059245665,0.085821114,0.12550534,0.17160535,0.21980374,0.26883104,0.3170103,0.3584129,0.38888037,0.40520772,0.4044262,0.3804617,0.33755407,0.28986764,0.25600863,0.24014401,0.23362197,0.22570527,0.21592683,0.2159288,0.23373385,0.2661582,0.29655376,0.3175083,0.33691692,0.3715476,0.42249787,0.47085527,0.48787132,0.45506313,0.3732482,0.2644473,0.16028802,0.08751869,0.05452086,0.05258863,0.06781299,0.093247235,0.13220704,0.18739827,0.25184974,0.30790678,0.3416715,0.35330114,0.355376,0.36072433,0.37130857,0.3796387,0.37179843,0.33846173,0.27788684,0.20306467,0.13331132,0.0865935,0.06681771,0.067205675,0.07778918,0.09621317,0.12598492,0.16940725,0.21995185,0.26247427,0.28088805,0.26685116,0.22786093,0.18469727,0.1614307,0.16974139,0.20372157,0.24650633,0.28238758,0.30102673,0.29732618,0.26890418,0.22132127,0.16544965,0.116806924,0.08512748,0.07293179,0.07420955,0.08144173,0.09193018,0.10586304,0.12416481,0.14106892,0.15212713,0.15269613,0.14451331,0.12771812,0.10582855,0.080964975,0.058304608,0.04174715,0.036027078,0.04509602,0.06923994,0.10461495,0.14114255,0.17399435,0.20448248,0.24279988,0.29197228,0.3448217,0.38449994,0.40006676,0.3917183,0.3728361,0.35968855,0.36442947,0.38437545,0.40419078,0.4021884,0.36544463,0.29515466,0.20878966,0.12873387,0.07380553,0.04797694,0.04381591,0.048144788,0.05134217,0.049608618,0.045740683,0.04725957,0.06351169,0.09552455,0.13606854,0.1726896,0.20608103,0.24317682,0.2885107,0.3259691,0.3355198,0.30951282,0.26504293,0.22590464,0.20521592,0.19805463,0.19107825,0.17517032,0.15106602,0.12715556,0.11138871,0.104888946,0.10294638,0.09928333,0.09178847,0.08076599,0.06866358,0.058496714,0.05622596,0.070449255,0.109039865,0.17267627,0.24894245,0.3148442,0.34721777,0.3342785,0.28171209,0.2070689,0.13280414,0.07467652,0.039867472,0.025549257,0.0261555,0.03421017,0.043513026,0.04926462,0.054724187,0.07047653,0.107640006,0.16269392,0.21607746,0.2432832,0.2351277,0.2004888,0.15771335,0.11916593,0.089219846,0.06741407,0.05349225,0.048601303,0.055073608,0.07538471,0.10692301,0.13885035,0.15716164,0.15623023,0.14481963,0.1357602,0.13416165,0.13400577,0.12842833,0.11575907,0.10028782,0.09090674,0.100881524,0.14199694,0.21388741,0.2992108,0.3741523,0.42001352,0.42819753,0.39536265,0.32510936,0.23234303,0.1411954,0.073771186,0.038383435,0.03095602,0.04006199,0.055217605,0.06765531,0.07556501,0.079277895,0.08222846,0.08508002,0.0939249,0.11463634,0.15094931,0.19436495,0.23200871,0.254578,0.2620593,0.2614614,0.2595191,0.26008758,0.25918338,0.2509073,0.23316568,0.21043724,0.1869993,0.1595543,0.12453633,0.08385515,0.048206728,0.02470843,0.014164012,0.011139014,0.011668224,0.013666056,0.016671307,0.020728527,0.027175104,0.039560158,0.060327012,0.09066391,0.12728488,0.16793753,0.20839782,0.24531609,0.27258232,0.28587425,0.2835089,0.26522064,0.23228942,0.18846785,0.14763902,0.126927,0.13677718,0.16814728,0.20341372,0.2326475,0.2629144,0.30290392,0.34470698,0.36363354,0.33797053,0.26929587,0.18132985,0.10329185,0.052703083,0.03173366,0.034646813,0.05218585,0.07415506,0.08912184,0.09414276,0.09871367,0.11961164,0.16361772,0.21664655,0.25390044,0.2556393,0.2231782,0.16965751,0.115387924,0.073700175,0.054283842,0.055291247,0.06862476,0.080168895,0.081751525,0.0745,0.06854505,0.07598713,0.10138019,0.14102869,0.17954455,0.20284015,0.20211047,0.18919103,0.18598215,0.21175115,0.25806966,0.29324046,0.28476977,0.22899686,0.15147316,0.08535967,0.047608048,0.03611013,0.039572325,0.047274455,0.052460823,0.053188503,0.05316134,0.05840819,0.07047832,0.08324551,0.08716599,0.07969719,0.06703741,0.0580672,0.05581993,0.05990079,0.07484749,0.11009413,0.16689266,0.22696348,0.25958335,0.246983,0.19773853,0.140016,0.09590218,0.07036491,0.055244062,0.043261398,0.03476667,0.03520754,0.0525338,0.0901016,0.14681686,0.21205795,0.2746515,0.32339355,0.35425678,0.36487997,0.36048236,0.35498455,0.3690946,0.41270733,0.4716405,0.51487774,0.52067614,0.4927524,0.4563519,0.43067765,0.41741553,0.39489007,0.3446509,0.26253012,0.17013381,0.09250181,0.0458518,0.02895712,0.035445716,0.058554236,0.09077766,0.11945943,0.13237546,0.12838818,0.11931502,0.12084091,0.13591231,0.15696765,0.17404734,0.188982,0.20550136,0.22205456,0.22753255,0.21737175,0.20178191,0.2001069,0.22324061,0.25944352,0.2828575,0.26928827,0.21784194,0.1471126,0.083762646,0.04246552,0.024083419,0.022154128,0.03491349,0.0685258,0.13041931,0.2169729,0.3077854,0.37400576,0.3963127,0.37389073,0.32263324,0.26199356,0.21201797,0.18389374,0.17952697,0.1835718,0.17998941,0.16269724,0.14643218,0.14703768,0.16835801,0.19591475,0.215091,0.217462,0.2029382,0.1711034,0.12692775,0.080143176,0.0438032,0.02364781,0.019099614,0.026617885,0.046497803,0.08135701,0.13725965,0.2154922,0.30887374,0.3934966,0.44551268,0.45596805,0.44104126,0.42207578,0.40372038,0.37241697,0.31330338,0.23129852,0.14606553,0.07963433,0.041439287,0.02980774,0.03854889,0.0627432,0.10021263,0.14772606,0.19872397,0.24366736,0.27202976,0.27773198,0.25689587,0.21439642,0.16142897,0.120134614,0.10961803,0.13872099,0.19630457,0.25948265,0.302367,0.30951318,0.28028408,0.22984128,0.17951632,0.14839497,0.14554425,0.16864674,0.20434584,0.23199564,0.23665632,0.21619348,0.18270153,0.14631136,0.11164207,0.07862625,0.05200014,0.038195442,0.041199803,0.061850715,0.10232737,0.16523059,0.24640496,0.32861412,0.39217338,0.4259411,0.4355817,0.42641735,0.39880124,0.3479267,0.2875677,0.2449749,0.24586105,0.28328907,0.32694983,0.34793314,0.34700093,0.34037647,0.3363563,0.32504997,0.30359206,0.28929165,0.3083017,0.36388662,0.43298194,0.48515472,0.5046583,0.4897714,0.4419283,0.36373386,0.2650412,0.16631524,0.088477306,0.041568168,0.021772327,0.020847937,0.036212992,0.07372265,0.13943112,0.22860698,0.32207453,0.3954203,0.43519127,0.44510373,0.43945333,0.43021217,0.42317617,0.4212046,0.42487466,0.43039498,0.42796513,0.40927944,0.37356722,0.3320607,0.30159712,0.2967795,0.31499907,0.33907878,0.3469281,0.33358717,0.30913365,0.28683951,0.26734146,0.24279183,0.20728011,0.1638068,0.11908909,0.08081105,0.05317487,0.039953794,0.041516233,0.058320165,0.091421254,0.1375644,0.18791874,0.2257572,0.24867265,0.2657132,0.29533455,0.33225217,0.35615912,0.34214184,0.29134145,0.22089352,0.15343735,0.09917891,0.0611812,0.03769448,0.027439522,0.029740825,0.04606984,0.07604515,0.111538135,0.13644303,0.13696833,0.113612026,0.08087935,0.055304866,0.0438884,0.04419835,0.05269746,0.06945929,0.098286785,0.14111347,0.19469924,0.24812597,0.28567472,0.29591444,0.27594817,0.23385613,0.17971474,0.12547882,0.08029508,0.05440175,0.055321198,0.08963257,0.15525222,0.24037282,0.32075086,0.37442145,0.38937008,0.3706911,0.3291136,0.2746884,0.2132849,0.15271543,0.10586167,0.08575753,0.09668934,0.12626761,0.15248686,0.1584026,0.14929579,0.14663184,0.16967016,0.21508972,0.26304534,0.29366747,0.30099237,0.2890631,0.26523772,0.23608454,0.20931436,0.19179787,0.18713444,0.18964255,0.18685012,0.16703899,0.13421793,0.10916296,0.11723385,0.16383767,0.22702284,0.2679671,0.26102695,0.20857787,0.13838673,0.07872155,0.04404919,0.032498296,0.0373778,0.051761847,0.06871185,0.07949526,0.077797286,0.06511039,0.05077115,0.046074003,0.055828106,0.07809776,0.1101188,0.1563757,0.22407083,0.310364,0.39309862,0.44091558,0.43458486,0.38251325,0.31555367,0.2683142,0.25734165,0.2744368,0.29219422,0.28714454,0.25386843,0.2127202,0.18981649,0.20027964,0.23429586,0.27008238,0.29043987,0.29319084,0.28599772,0.2741997,0.25854245,0.23908417,0.22196828,0.21620184,0.22367372,0.23294063,0.22561808,0.19159596,0.13900144,0.08680501,0.051776763,0.037841737,0.039074484,0.045926917,0.052422952,0.06018561,0.07744342,0.1115912,0.16044946,0.20923404,0.24121012,0.24871959,0.24331169,0.24838658,0.28656778,0.35848692,0.43816927,0.4833099,0.46622166,0.39218268,0.3005515,0.23424155,0.21466084,0.22667556,0.239275,0.22855459,0.19901635,0.17206365,0.16907941,0.19144952,0.22606249,0.25267133,0.25750515,0.23392163,0.18703751,0.12984417,0.08097726,0.055161163,0.05939908,0.08698514,0.122106515,0.1479988,0.16468224,0.18727453,0.2293058,0.2793711,0.30840552,0.29895714,0.2659611,0.24340527,0.25225103,0.28501666,0.32102022,0.34515893,0.35739663,0.3558646,0.33809796,0.3032184,0.26757106,0.2494462,0.25467613,0.27224973,0.29136828,0.31397936,0.34266058,0.3675965,0.3662964,0.3255054,0.25572953,0.18690693,0.14847742,0.14956968,0.17687517,0.20305823,0.20816635,0.1895638,0.16841859,0.16932099,0.2057489,0.2621806,0.31003526,0.3208386,0.2881761,0.22265065,0.14828666,0.08502707,0.04440236,0.025524182,0.024397954,0.039155643,0.07018735,0.11360393,0.15932402,0.19862027,0.233615,0.27217796,0.31636822,0.3503013,0.35521403,0.32196665,0.2661584,0.21080106,0.17946999,0.1764101,0.19716094,0.22366017,0.24450187,0.24993266,0.24548638,0.2390412,0.24334116,0.2615238,0.2911242,0.32230902,0.3450257,0.3492941,0.32753098,0.2788293,0.21072662,0.13950641,0.08107405,0.046474118,0.03841331,0.05581623,0.093519844,0.14164883,0.18385006,0.20555283,0.20237966,0.18750899,0.18253817,0.20449267,0.2506293,0.30017516,0.32725093,0.31973118,0.2880212,0.25832912,0.25430545,0.28143144,0.32360458,0.3581308,0.3696375,0.36054245,0.34089327,0.31973282,0.2937107,0.25477216,0.19864647,0.13460788,0.07852977,0.043189615,0.030325098,0.034554753,0.0486058,0.06816637,0.089823306,0.11105443,0.12976342,0.15020247,0.18092208,0.22724111,0.278319,0.30996266,0.3019433,0.25609237,0.19693029,0.15517145,0.15077473,0.1836909,0.23608889,0.27984503,0.29181746,0.2654579,0.21586072,0.16640358,0.13298777,0.11361187,0.0969227,0.076203965,0.056506675,0.04882999,0.0578173,0.07696721,0.09339059,0.10073122,0.1073193,0.13018088,0.17831503,0.24015276,0.29042354,0.31217602,0.3091452,0.30102155,0.29886994,0.2965305,0.2771496,0.2376375,0.19696952,0.18140478,0.20078792,0.23701783,0.26437902,0.26796997,0.25393674,0.2308727,0.2032506,0.16757225,0.1263663,0.085249364,0.052786443,0.0311779,0.020304391,0.018631725,0.027596196,0.048118025,0.07542748,0.0997388,0.11217302,0.11730156,0.12581356,0.1461007,0.16969307,0.18397047,0.18115596,0.16644484,0.14750463,0.12732443,0.10531328,0.08166804,0.06091923,0.046117287,0.037520345,0.03176418,0.02660237,0.021404034,0.01718527,0.0144605,0.0132884225,0.013509407,0.016291782,0.02474238,0.042827383,0.07082942,0.101314984,0.12129718,0.12171506,0.10606555,0.087225884,0.077280656,0.079416335,0.094342045,0.12393128,0.17126073,0.22582042,0.26655906,0.2698938,0.23363686,0.17703623,0.1335668,0.12571622,0.15262987,0.1886794,0.20248951,0.17911153,0.12927581,0.0784429,0.049040023,0.051458746,0.08776163,0.15207708,0.23235516,0.30837438,0.3633124,0.38349983,0.36496496,0.30763406,0.22636914,0.1422991,0.07867384,0.042460542,0.029753968,0.029888785,0.038818914,0.057468165,0.09267046,0.14708193,0.21570258,0.28199074,0.3305316,0.3555168,0.36180863,0.3532072,0.3265998,0.2805021,0.22460502,0.18036187,0.16517138,0.18243779,0.21994424,0.26029363,0.2883334,0.29519418,0.28299984,0.26322788,0.25212798,0.25513342,0.26501334,0.26964843,0.26487508,0.2554862,0.24395835,0.22932778,0.21159041,0.20194049,0.2123946,0.24164188,0.26856834,0.26930752,0.23941623,0.19807392,0.16970749,0.16385359,0.1692568,0.16981538,0.1554404,0.13070166,0.10340461,0.08069559,0.0629321,0.050198942,0.043216422,0.042771142,0.04659897,0.04986844,0.049528237,0.04579541,0.042498272,0.04391733,0.053220104,0.068709835,0.08410124,0.09150773,0.088098444,0.07739382,0.066016525,0.058195125,0.054444607,0.05292819,0.05149558,0.048952986,0.045669932,0.04385355,0.046414074,0.055968393,0.07229436,0.092835955,0.11166018,0.124395154,0.12809496,0.12576981,0.12156906,0.120164625,0.1203844,0.11873597,0.112190396,0.104165256,0.10078103,0.10616859,0.11695526,0.12595089,0.12616603,0.11604211,0.09817892,0.078529134,0.0630789,0.05593756,0.056914,0.062092368,0.06786233,0.07401542,0.08325347,0.09584736,0.10767295,0.11281002,0.10911465,0.099815816,0.09063661,0.086629,0.090135664,0.101456344,0.11786693,0.13588762,0.15280028,0.1692629,0.18631886,0.20260775,0.21385305,0.21574382,0.2078111,0.19210917,0.1734796,0.15519023,0.14005725,0.12807684,0.119761355,0.11525681,0.114206545,0.1145913,0.11400535,0.11205404,0.10993592,0.10856327,0.10757802,0.10567623,0.10293714,0.09997729,0.097884655,0.09640696,0.09502842,0.09357503,0.09262577,0.092703246,0.09354934,0.0945914,0.09491723,0.09355166,0.08914883,0.08209855,0.07478362,0.0719817,0.0765406,0.08821944,0.10214151,0.1138568,0.12072901,0.12440678,0.12659545,0.12896715,0.13091098,0.13185464,0.13156514,0.13176082,0.13746546,0.15114202,0.17278554,0.19282158,0.20563047,0.20520397,0.19590288,0.17741762,0.15324284,0.12284523,0.09169235,0.06362983,0.043438166,0.03134613,0.026041446,0.024366992,0.025521195,0.030685445,0.041248266,0.054673076,0.06705994,0.07890203,0.09762269,0.12713724,0.15879397,0.17260979,0.15701135,0.11873862,0.079211086,0.054291848,0.04666086,0.04846403,0.05220519,0.05396134,0.052851748,0.049406085,0.0462777,0.046084598,0.04959042,0.053240996,0.054827075,0.054295894,0.056949437,0.066506475,0.08653849,0.11369928,0.14152259,0.1581598,0.15772127,0.14035858,0.11373633,0.084349066,0.057716247,0.037887346,0.027525904,0.02535385,0.026760997,0.028636962,0.031811703,0.03794123,0.045682337,0.050475206,0.05305086,0.061529618,0.08928859,0.13895468,0.19735074,0.2396813,0.25298056,0.24654526,0.24302828,0.2504513,0.25272977,0.22656298,0.16905572,0.10129205,0.05043291,0.030799111,0.042697225,0.08036806,0.13481627,0.195183,0.24908109,0.28931674,0.31084177,0.30862835,0.27666757,0.21690013,0.1445406,0.08155696,0.044419274,0.03643992,0.052469015,0.086444534,0.13142423,0.1756564,0.20161538,0.19984941,0.18110032,0.172334,0.19547565,0.24699505,0.30358222,0.33792865,0.3413515,0.32325745,0.306438,0.30440083,0.315866,0.3258598,0.327124,0.32328096,0.32413775,0.32919836,0.330047,0.31475174,0.2783316,0.22258508,0.15785661,0.09761244,0.052959632,0.026926564,0.015913153,0.014779866,0.021554478,0.03723904,0.06324973,0.096218504,0.12741643,0.14703876,0.15416504,0.15988551,0.17675306,0.20429577,0.22368686,0.2152672,0.17396683,0.11632353,0.06339852,0.029027201,0.012638037,0.00801859,0.008744748,0.011824978,0.015570595,0.019079154,0.022692641,0.028914222,0.039306432,0.052454423,0.062267214,0.06405293,0.056695297,0.04476425,0.03316577,0.025405856,0.022049487,0.022076584,0.023754077,0.025218822,0.027079878,0.033345763,0.051831916,0.08709073,0.13509573,0.18067737,0.2086993,0.21328557,0.20197469,0.18392557,0.16279262,0.13501391,0.10141251,0.07154545,0.0634988,0.09169396,0.15771039,0.24455655,0.32363477,0.36678955,0.35923278,0.30413708,0.22089267,0.13588315,0.071757354,0.038174484,0.030102877,0.034463923,0.03924791,0.04142214,0.045900602,0.057265434,0.07240316,0.08102742,0.07877973,0.071942315,0.07238487,0.083233476,0.09738649,0.108139336,0.117693484,0.13355224,0.15730715,0.18045028,0.19340152,0.19411059,0.19433813,0.20807178,0.24113424,0.2817602,0.31009448,0.311175,0.28397623,0.24091236,0.20214158,0.18830024,0.20696552,0.24341135,0.26732954,0.257485,0.22255923,0.19587894,0.20646858,0.25293943,0.30183354,0.31467187,0.27545357,0.20359342,0.13725778,0.1100378,0.13145505,0.18766005,0.2532471,0.30488756,0.32725644,0.3133305,0.26448974,0.19311748,0.11892084,0.060778826,0.026534682,0.01347736,0.015588358,0.03085575,0.06397688,0.12002031,0.20022957,0.29422045,0.3852215,0.45200095,0.47947025,0.46027997,0.40427363,0.33871207,0.29936972,0.3062311,0.34519807,0.37656143,0.36358652,0.29910558,0.2059611,0.11707214,0.054583613,0.021733182,0.011246764,0.014855404,0.028914308,0.04952249,0.07010821,0.08230842,0.08263578,0.07518905,0.07041925,0.08079844,0.11165655,0.15500627,0.18858437,0.1943736,0.17400591,0.15122765,0.14627028,0.1577314,0.16274633,0.14400433,0.103446715,0.059975956,0.02901405,0.015532069,0.015718063,0.02552563,0.041361436,0.059742093,0.077068575,0.09009835,0.09584451,0.09046265,0.07453607,0.05417415,0.04288399,0.052816946,0.09103372,0.15027578,0.21166436,0.2481877,0.24387904,0.20031983,0.13987197,0.085905544,0.053836435,0.043166142,0.048610087,0.06364345,0.08363378,0.102008164,0.113425456,0.11664187,0.11507105,0.11106471,0.10409731,0.09195531,0.07562049,0.05858475,0.045745205,0.03943585,0.03954109,0.043494735,0.049758125,0.057510402,0.06697196,0.0761818,0.08214646,0.08129477,0.073567994,0.06311966,0.056644052,0.06107308,0.081240624,0.120177664,0.17331165,0.2294841,0.27442792,0.3004537,0.3053606,0.28830028,0.24914472,0.19325717,0.13440907,0.08724907,0.0606728,0.052847955,0.055995822,0.059942182,0.05944836,0.053571876,0.04623014,0.04094191,0.0416154,0.051618803,0.07519752,0.11437967,0.16509768,0.21548538,0.25025707,0.2585878,0.23864067,0.1966908,0.14341713,0.0909952,0.049598176,0.024371853,0.014235455,0.017116854,0.034652732,0.07446468,0.1384795,0.21577632,0.27871212,0.3029851,0.28066316,0.22818063,0.17243755,0.13843417,0.1387355,0.16993885,0.21625471,0.26181757,0.29995883,0.33347985,0.35940337,0.36806485,0.34937075,0.31001303,0.27267763,0.26167938,0.28440425,0.3217853,0.3431857,0.32621077,0.27358863,0.207286,0.15122338,0.11825514,0.106578626,0.10881399,0.114459954,0.11487249,0.10421136,0.08567078,0.067188606,0.055838425,0.050403338,0.048768148,0.04985674,0.057941776,0.07294165,0.094023146,0.11513549,0.13109107,0.13326445,0.117735386,0.08731297,0.053371403,0.027342873,0.013928439,0.0112835085,0.015943928,0.027509727,0.04592059,0.06815845,0.0883455,0.104018174,0.11865426,0.1349578,0.14718552,0.14371459,0.12106103,0.089831226,0.06569693,0.054970052,0.051294353,0.046542536,0.03809762,0.029939637,0.024697198,0.022550873,0.021327436,0.020105781,0.018744648,0.017749587,0.017474933,0.018088123,0.01953146,0.02116322,0.023640305,0.02886889,0.04089957,0.059657518,0.08284572,0.10529158,0.12972133,0.15821522,0.19213204,0.21975076,0.2319385,0.222297,0.19760925,0.16406007,0.12768589,0.09075344,0.057264943,0.032387313,0.019256262,0.020041248,0.03758556,0.07810881,0.14201045,0.21552058,0.2704725,0.28516704,0.26401496,0.23887873,0.24150233,0.27622655,0.3163627,0.32740512,0.29361317,0.22514038,0.14848442,0.08926964,0.06311514,0.06986981,0.09575811,0.12040166,0.13132979,0.1328965,0.13749118,0.14995606,0.15999629,0.15910889,0.15198606,0.1528074,0.16325302,0.16949058,0.15751624,0.13306005,0.11501491,0.11487196,0.1228997,0.120174564,0.09799094,0.06633086,0.044505563,0.047988623,0.078468114,0.12416861,0.16433577,0.186584,0.1930178,0.19973223,0.21378887,0.22749035,0.2212007,0.18660717,0.13156265,0.076166354,0.035303317,0.013092208,0.0041331337,0.00158069,0.0009488743,0.00068019674,0.0005511609,0.00069069426,0.0012304016,0.00308742,0.009167831,0.025529006,0.05720226,0.102044284,0.1449803,0.16638415,0.15451236,0.11730597,0.07417064,0.04356185,0.0302998,0.029360345,0.033381827,0.04294918,0.06793744,0.121249,0.20519608,0.30394885,0.38837418,0.43438455,0.4339179,0.3964206,0.33549365,0.26409873,0.19212328,0.1307379,0.08771234,0.06439671,0.054473728,0.051198706,0.050630495,0.0528487,0.05724153,0.064236075,0.07418786,0.08915337,0.10581773,0.11714536,0.113306604,0.09381306,0.06607165,0.044384062,0.038029794,0.051496077,0.08000461,0.11397279,0.14014077,0.15246071,0.15375733,0.15101643,0.14594129,0.1343191,0.11593824,0.09568218,0.08114913,0.07331278,0.073057234,0.08362945,0.110491745,0.15031631,0.19053401,0.2222063,0.2500563,0.2886392,0.33919907,0.3869522,0.4110804,0.4089984,0.39334738,0.37950993,0.3745402,0.37961233,0.39576527,0.41835117,0.4381875,0.4478624,0.45061752,0.4530214,0.45248437,0.4354491,0.39365253,0.3371819,0.29236913,0.27989224,0.29948124,0.3334893,0.36555335,0.39213637,0.41477212,0.428836,0.4266679,0.40343642,0.36377534,0.31130806,0.2565268,0.21491285,0.20614563,0.23199148,0.269609,0.28485933,0.25797448,0.19682974,0.12619494,0.069482185,0.036672022,0.025619075,0.027767874,0.03456362,0.039634656,0.042182583,0.043222364,0.044550795,0.04552978,0.04946224,0.06544876,0.10438138,0.16783439,0.24262248,0.30849543,0.35315168,0.37724873,0.39201477,0.4009734,0.40195718,0.38385805,0.34621003,0.29277146,0.23603474,0.18395878,0.14450584,0.11889703,0.10404387,0.090518825,0.0730359,0.053787097,0.042986836,0.04717101,0.06389811,0.084581345,0.1051394,0.13210791,0.17024101,0.21142484,0.23245688,0.21816611,0.17467141,0.12580137,0.09201454,0.076663695,0.07121352,0.063897245,0.051385626,0.03550477,0.024169905,0.025365831,0.049541622,0.102624975,0.18117024,0.26754418,0.34011248,0.38741794,0.41334543,0.4305483,0.4438788,0.45096532,0.4414645,0.41656944,0.3835492,0.35901484,0.3422666,0.32061943,0.2731696,0.2006132,0.122570135,0.06706694,0.047615033,0.061622735,0.09511421,0.13322966,0.1625533,0.17762339,0.18058987,0.18394168,0.19946992,0.23187391,0.27586338,0.3239337,0.37496617,0.42830166,0.48027444,0.5191448,0.53664905,0.53086394,0.50540465,0.46035174,0.39272633,0.30597246,0.21983628,0.16251689,0.15222086,0.17817177,0.21031664,0.22024982,0.20858198,0.19766618,0.21055765,0.2420367,0.26587018,0.25748426,0.21923655,0.17191021,0.13715546,0.121995054,0.13070028,0.16594245,0.22714853,0.28957766,0.32071507,0.29993856,0.24973679,0.21390931,0.22716878,0.2806175,0.33461902,0.34978887,0.31740555,0.26180837,0.22038947,0.21859096,0.25682172,0.31206843,0.35657907,0.3693478,0.34863663,0.30663493,0.2696338,0.26072347,0.2884457,0.33536288,0.37469843,0.3889141,0.3835117,0.37463963,0.3741552,0.38015828,0.38065863,0.36258256,0.32092258,0.2656562,0.21772575,0.19503754,0.20247985,0.23204874,0.27423653,0.31859192,0.35513723,0.37346324,0.37124094,0.351359,0.31922263,0.27669337,0.22915916,0.18449737,0.15364717,0.1396432,0.14063692,0.15279205,0.1823156,0.23811875,0.32089046,0.40953693,0.47594368,0.5029773,0.49943328,0.48330224,0.46673778,0.44264182,0.40187383,0.3437232,0.28743374,0.25099036,0.23948853,0.23583084,0.22077917,0.18530224,0.13656567,0.08789157,0.049960304,0.027009627,0.017250206,0.018028805,0.027518595,0.046674084,0.07210832,0.09737801,0.112892695,0.11853501,0.11909846,0.1224491,0.1265803,0.12609245,0.11570241,0.09920424,0.08812518,0.097268544,0.13498388,0.19175296,0.24344687,0.26377144,0.24471723,0.19674687,0.14155774,0.09586477,0.06817689,0.057357807,0.057987276,0.062801786,0.06615587,0.06496561,0.059883326,0.054421812,0.051614318,0.051363215,0.050017715,0.046263214,0.041514438,0.04009517,0.041815784,0.044580817,0.044757515,0.044316366,0.04687926,0.057059962,0.07424978,0.09652347,0.12122067,0.15266179,0.19780834,0.2651821,0.349968,0.43726563,0.50267607,0.53187555,0.52127135,0.47809467,0.40970972,0.32586166,0.24511759,0.19457717,0.19566095,0.24845017,0.32823387,0.40381905,0.44998014,0.4600626,0.43747494,0.39540458,0.34461233,0.29250914,0.23936076,0.18664141,0.14192644,0.11714692,0.11930099,0.14094092,0.16525406,0.17540656,0.16637439,0.14306124,0.11653459,0.09740833,0.09263754,0.10156378,0.11529622,0.122670524,0.1200895,0.1133571,0.11313764,0.12291008,0.1402153,0.15647137,0.16523337,0.16299766,0.15518235,0.15639667,0.17815126,0.21603148,0.24553251,0.24617659,0.21877839,0.18274683,0.15293299,0.12707819,0.098062895,0.0654385,0.041463755,0.039265085,0.07181719,0.14079599,0.23763044,0.33734727,0.41686606,0.46267012,0.4801178,0.48088756,0.47559023,0.46889922,0.46244684,0.45715892,0.4507378,0.4385824,0.4171971,0.39056888,0.3657892,0.34533843,0.32075384,0.28124365,0.223476,0.1572952,0.099329434,0.06362281,0.05505407,0.06611007,0.08238695,0.09001119,0.088772275,0.092723645,0.12221289,0.1852789,0.26949272,0.34896347,0.40126774,0.42019832,0.41227412,0.38830408,0.35589936,0.31996414,0.28327343,0.24435054,0.20004928,0.15095976,0.109045535,0.0929522,0.11469263,0.16964632,0.23589183,0.28951386,0.31165707,0.29988217,0.2638156,0.2271452,0.20842464,0.21266754,0.2268477,0.2397693,0.25113735,0.26533842,0.27709612,0.2698933,0.23347206,0.17329411,0.109252594,0.058769953,0.030327976,0.022546865,0.03233182,0.053625833,0.079023905,0.10011139,0.11923951,0.14653403,0.19136919,0.24647696,0.2947857,0.32338274,0.33272874,0.3275657,0.30772188,0.27267984,0.23188068,0.20191939,0.19073999,0.18704255,0.17236207,0.13899346,0.097050846,0.061533224,0.040224086,0.03129054,0.030129252,0.032859754,0.03652279,0.037990417,0.03601542,0.031473514,0.027712755,0.02843455,0.03762387,0.055241,0.077044584,0.09621414,0.11467896,0.1416956,0.18666919,0.24296395,0.2959293,0.33240184,0.34934142,0.34313872,0.30912885,0.2530711,0.19478178,0.15784639,0.14473622,0.1415601,0.12904817,0.10319839,0.070480175,0.042349666,0.025239246,0.022186128,0.034937277,0.066720955,0.11775735,0.18114878,0.24428093,0.29534104,0.32784754,0.3351406,0.31309703,0.2647981,0.20966883,0.16798271,0.14997537,0.14914177,0.16194993,0.18729024,0.22396128,0.25526473,0.26800016,0.26234284,0.25778216,0.26439023,0.27515027,0.27244154,0.25657156,0.2425503,0.24360974,0.24844521,0.23565811,0.19512856,0.1439228,0.109947525,0.10715333,0.12598316,0.14393784,0.15345776,0.16497485,0.19799542,0.25217435,0.305514,0.32570156,0.2989054,0.23792785,0.1743793,0.13324575,0.120405175,0.12325934,0.12641758,0.121675104,0.11052839,0.09990996,0.09457459,0.094646074,0.09385445,0.08813363,0.0771558,0.066769026,0.060337987,0.059206743,0.060355958,0.06273768,0.065335006,0.06995467,0.077102356,0.08682925,0.09616727,0.10238319,0.10441095,0.104751356,0.10527611,0.104966395,0.09952512,0.08768486,0.07297843,0.06147617,0.05579941,0.054578114,0.056781158,0.06422753,0.07922808,0.09898075,0.11517819,0.119481355,0.11028857,0.093991525,0.079007916,0.069958754,0.06588999,0.06486326,0.06523472,0.06682258,0.06795321,0.06912944,0.070135884,0.071069986,0.067729026,0.058403313,0.044598848,0.03329662,0.02952669,0.03410078,0.043154757,0.05240001,0.061227623,0.07333132,0.0938989,0.12334911,0.15335695,0.17139693,0.1714632,0.16648878,0.18174136,0.2334538,0.3046622,0.35222122,0.34011877,0.27108583,0.18231435,0.11541978,0.09135764,0.11008525,0.15791099,0.21318455,0.24785686,0.2424385,0.19793314,0.13975526,0.098891996,0.094581485,0.12024633,0.15204288,0.16258778,0.14286779,0.10343081,0.06593568,0.043623775,0.03694326,0.038198397,0.040805083,0.043806892,0.049447477,0.06195736,0.081977285,0.10613531,0.12676862,0.14145161,0.16045879,0.20353937,0.28379846,0.38962469,0.48876917,0.5448863,0.5400602,0.47737685,0.3784754,0.27291062,0.19499058,0.17023577,0.2037822,0.26888546,0.32296476,0.3354964,0.31427664,0.29072848,0.28792724,0.29606166,0.29463816,0.28031933,0.27245387,0.28178176,0.29105094,0.27380446,0.22781442,0.18734173,0.1885791,0.23737662,0.29727432,0.32825866,0.31839547,0.29667905,0.29833296,0.336689,0.3933637,0.43895218,0.44866404,0.41154745,0.33107635,0.22823976,0.13148619,0.063546516,0.028294286,0.016565451,0.015801163,0.019345066,0.026599415,0.040858414,0.064642005,0.09380748,0.11700935,0.12163111,0.10548843,0.07771127,0.052424714,0.038602844,0.04163228,0.0683755,0.12448627,0.20423853,0.28077036,0.32230863,0.30957058,0.25383958,0.17950197,0.11262255,0.06314083,0.033560365,0.019089025,0.016458852,0.022120377,0.033395503,0.046038747,0.054799248,0.057136204,0.055006802,0.053778708,0.057939887,0.06812509,0.08144975,0.09230313,0.09693507,0.09420041,0.087572135,0.07924027,0.070847146,0.061318606,0.052043263,0.04404292,0.038864553,0.03630616,0.037513394,0.044276256,0.058559567,0.07659283,0.09098083,0.091901995,0.07880178,0.057330977,0.03864404,0.027213762,0.025289647,0.03631225,0.07095636,0.13721193,0.22778828,0.3202303,0.39102373,0.43090263,0.43935466,0.41540572,0.35839662,0.27724537,0.19304623,0.1229421,0.074287474,0.043456618,0.028248454,0.026929056,0.03645562,0.04924147,0.05572936,0.0538504,0.050232787,0.059607387,0.086215496,0.12073902,0.13977258,0.13079362,0.09721022,0.05926311,0.032495838,0.022622688,0.024518156,0.032108445,0.04126856,0.050384726,0.058455724,0.06397966,0.06614461,0.06609355,0.06859074,0.07630692,0.087841846,0.09517466,0.09487755,0.08971929,0.09168878,0.111345865,0.15457843,0.21538246,0.27415,0.3042114,0.28609988,0.22835402,0.16120383,0.121163726,0.117557146,0.13488929,0.14225708,0.12726673,0.09659184,0.07203076,0.0648194,0.07372751,0.08710451,0.09665216,0.100667916,0.102137946,0.10425974,0.10659641,0.107867956,0.1079095,0.111166,0.12131616,0.1373077,0.15062357,0.153557,0.14484824,0.13102673,0.11890418,0.11155462,0.10805795,0.10724163,0.107612155,0.10818142,0.107135236,0.104774825,0.10159429,0.09852335,0.09502969,0.09165961,0.09228411,0.102658115,0.12655295,0.15841776,0.18617062,0.19697206,0.18936281,0.172958,0.16181104,0.16379537,0.17957556,0.21001069,0.260986,0.33646646,0.42604986,0.49771395,0.5177188,0.47296238,0.39118007,0.31992343,0.29678068,0.32076302,0.35747424,0.36798063,0.33631277,0.28617373,0.260113,0.29028836,0.36323574,0.42949176,0.43671903,0.37363347,0.2703959,0.1736464,0.1101692,0.08186972,0.07430468,0.075311415,0.07955977,0.0899927,0.11371795,0.15793014,0.22350244,0.29732051,0.35441247,0.36832878,0.33246747,0.26689947,0.21299599,0.20386863,0.24758421,0.31853494,0.37924996,0.39650774,0.3610076,0.28667137,0.20587502,0.14726898,0.12103761,0.114573,0.11079622,0.101471804,0.09072143,0.08451005,0.08540997,0.091036916,0.09884384,0.10669751,0.118096136,0.13292815,0.14787702,0.1500595,0.13874999,0.12839705,0.14792347,0.20795204,0.2874118,0.34041294,0.33307168,0.27036014,0.1941787,0.15345107,0.16953962,0.2251399,0.276646,0.2873236,0.2482494,0.18281822,0.12316271,0.08909136,0.07829217,0.0773958,0.07693068,0.077189244,0.08294653,0.09429375,0.10511795,0.1099929,0.10973477,0.11099768,0.11825601,0.13033307,0.14103006,0.14514625,0.1408369,0.1306798,0.11857996,0.10858589,0.10218557,0.09896415,0.09717127,0.0961261,0.09734743,0.1029239,0.11409881,0.12973066,0.1483678,0.16902636,0.1891545,0.20391448,0.20593674,0.19309,0.1692418,0.1439882,0.124220155,0.1120343,0.10524062,0.10150874,0.09999886,0.101030014,0.104272075,0.10806412,0.1100337,0.109568864,0.109079175,0.11206772,0.1201731,0.13099901,0.14067464,0.14705805,0.15135907,0.1586364,0.17491217,0.20688598,0.25256532,0.29857883,0.32191083,0.3096269,0.27064246,0.2286837,0.20207201,0.19200931,0.19629826,0.21896009,0.26960424,0.34237114,0.41052982,0.4369125,0.40054098,0.3125706,0.20982993,0.13116723,0.094346106,0.09290162,0.108257025,0.12610635,0.1432507,0.16852088,0.21212514,0.27663234,0.3426493,0.38028803,0.36498103,0.30297998,0.22381212,0.1604038,0.12536387,0.11113905,0.10540127,0.10127685,0.10000357,0.10379836,0.1164589,0.13774703,0.16590326,0.19358724,0.21777225,0.23266906,0.2345506,0.21763927,0.19259323,0.18409276,0.2191164,0.30345902,0.4152697,0.5226055,0.59258366,0.6041475,0.54474264,0.42951155,0.29812688,0.20326115,0.17124969,0.18780075,0.20959432,0.20541252,0.18016417,0.16629131,0.18859752,0.23543668,0.2695377,0.2573918,0.20222004,0.1336682,0.086054444,0.06890642,0.07319143,0.08463433,0.103490256,0.13659859,0.18642133,0.23435135,0.2556993,0.2352535,0.18938859,0.14917612,0.14052492,0.15792526,0.17615779,0.16999996,0.13945068,0.104020536,0.08782476,0.0982336,0.12716104,0.15537538,0.16838561,0.16033426,0.14213403,0.13370568,0.15040994,0.1904273,0.22910987,0.24269767,0.21844848,0.17501073,0.14018126,0.13701785,0.1581348,0.17587745,0.16675873,0.13387688,0.108595304,0.12515652,0.1994601,0.31451118,0.43065548,0.5058374,0.5215484,0.4881983,0.43313423,0.3791006,0.33629557,0.3026879,0.26924202,0.2255856,0.16882049,0.108117945,0.05837518,0.029505441,0.022122443,0.03248201,0.053885818,0.07923744,0.09953911,0.11416507,0.12571174,0.14213692,0.16704564,0.20799679,0.26786107,0.3394667,0.40009585,0.42351782,0.40137145,0.34316757,0.2760835,0.22282897,0.20270789,0.21206439,0.23709159,0.25847656,0.2782484,0.30515388,0.34291264,0.37487486,0.38857055,0.38316187,0.3679429,0.34415165,0.31260705,0.27987245,0.25666103,0.24699788,0.25283313,0.2825596,0.34386596,0.42341328,0.48513684,0.49150297,0.43259993,0.32727477,0.21178217,0.11558825,0.054681942,0.02645503,0.022622138,0.03523304,0.063933186,0.10326811,0.14059806,0.15657033,0.1499312,0.1415341,0.16323577,0.22459932,0.29865673,0.34241018,0.32956362,0.27834246,0.23344018,0.23430331,0.27968648,0.3327508,0.35623944,0.3465924,0.33615217,0.3527232,0.39079666,0.4120727,0.38783857,0.32257012,0.25050583,0.19882245,0.17111999,0.15493874,0.14787477,0.16236018,0.20299494,0.24986367,0.2643998,0.22899067,0.15728135,0.0861172,0.038733594,0.019924983,0.020067574,0.031582754,0.04809156,0.063779466,0.07321266,0.0755136,0.0744661,0.07427249,0.07678339,0.08050528,0.08366368,0.08424431,0.081592314,0.07600098,0.0696219,0.06593646,0.06719444,0.07311009,0.07954675,0.08341279,0.08346153,0.0816398,0.077988155,0.07173995,0.061920334,0.050810922,0.042171106,0.0393832,0.042394638,0.04835346,0.05251922,0.052628707,0.048974324,0.04592153,0.047607508,0.058074962,0.07643976,0.098074965,0.11742779,0.1365609,0.16960071,0.22901905,0.31261086,0.39112976,0.43134186,0.41356882,0.35081366,0.2727764,0.20907676,0.17130555,0.1550588,0.1501106,0.15364803,0.1732813,0.2219608,0.2990221,0.38389954,0.43665352,0.4293903,0.36070904,0.26480007,0.18018901,0.13180612,0.1165612,0.12104893,0.13491823,0.15813173,0.19478078,0.24485655,0.30584076,0.3712704,0.43296835,0.47376266,0.47688082,0.43496308,0.36589828,0.29973724,0.25952572,0.24109364,0.22532387,0.19879544,0.16673575,0.1412935,0.12672897,0.11628882,0.10292759,0.08623644,0.07183198,0.06399533,0.06370852,0.07010803,0.0837479,0.10804343,0.14635415,0.20020127,0.26667607,0.33650923,0.39730224,0.4328566,0.43558145,0.4021541,0.34337488,0.27244553,0.2083307,0.16141613,0.1329272,0.11469992,0.099106796,0.087299556,0.0861681,0.10005214,0.1220814,0.13893399,0.14366542,0.14320803,0.14900933,0.16297184,0.17407705,0.17950733,0.19546783,0.25245056,0.35809752,0.48476386,0.57472533,0.5880295,0.5230544,0.42773756,0.3561007,0.3428556,0.37459168,0.4154366,0.42765892,0.39851794,0.3343923,0.2518076,0.16978866,0.10562813,0.07397218,0.07544614,0.0980078,0.11943033,0.12585677,0.11637321,0.103083886,0.09504789,0.09363422,0.09217098,0.08705285,0.07898527,0.07245148,0.06903541,0.06890589,0.07001414,0.071641415,0.07214066,0.07264493,0.073783726,0.076442696,0.07751112,0.07478128,0.068372525,0.06227013,0.059882373,0.06224815,0.06819812,0.07532308,0.07998628,0.07884302,0.07160366,0.06338812,0.061234828,0.06921244,0.083356954,0.09485672,0.09552614,0.08540213,0.07104897,0.06081405,0.058095697,0.0619818,0.07008268,0.080994755,0.0928978,0.10265397,0.10693293,0.10659617,0.10657639,0.1122708,0.12219723,0.12884742,0.12446496,0.10909041,0.08897514,0.07152583,0.058817323,0.049478035,0.040683717,0.03227814,0.025586704,0.023044206,0.026191933,0.034903426,0.04755729,0.061204124,0.073759206,0.08498522,0.09709326,0.11336678,0.13327597,0.15298839,0.16483825,0.16754217,0.16372913,0.16213173,0.16576986,0.1738277,0.17775302,0.17014217,0.14800815,0.11842152,0.09504368,0.09191806,0.11818228,0.16971095,0.22838311,0.2666658,0.27425626,0.27145186,0.29726887,0.36798808,0.45298752,0.4977648,0.470636,0.39350733,0.3209035,0.29685405,0.32478067,0.3763946,0.42111698,0.4443411,0.44144297,0.4085064,0.34254065,0.25420403,0.16590433,0.100873195,0.069347,0.06706107,0.08236599,0.10057584,0.1101289,0.10364115,0.08377718,0.058932368,0.039379533,0.02906607,0.02695626,0.029715404,0.036456313,0.047123004,0.060969006,0.07433594,0.08341087,0.08509178,0.080014,0.0713777,0.06459669,0.062843524,0.065667726,0.0697188,0.0732167,0.077456445,0.084771626,0.094351016,0.10163357,0.10161028,0.093349695,0.081582166,0.07304567,0.07185232,0.07711444,0.0859535,0.09740513,0.111244775,0.12540065,0.13308285,0.12956728,0.115881,0.101184815,0.09464079,0.09984613,0.1115663,0.12064931,0.120688885,0.1132395,0.10538738,0.1024008,0.10196379,0.09743095,0.08610359,0.07246207,0.063441545,0.06086934,0.061885823,0.06335178,0.066057034,0.07262928,0.08363998,0.096304215,0.10515511,0.10630388,0.09826549,0.08435988,0.06916255,0.058050264,0.05260257,0.051992,0.05230793,0.051554505,0.050064165,0.050531175,0.05400781,0.058285877,0.06055587,0.059537414,0.05816877,0.05966091,0.06718234,0.08161885,0.10345727,0.13117419,0.16000916,0.1821386,0.18964642,0.17949925,0.1545802,0.12263694,0.0927554,0.07329988,0.06943614,0.0801887,0.09780985,0.11100018,0.11264956,0.1034486,0.08986696,0.077329874,0.0670309,0.057850894,0.04946266,0.043207783,0.03983438,0.03887881,0.0395288,0.042087886,0.04747091,0.055633485,0.06527627,0.07595692,0.08899913,0.10818708,0.13514017,0.1714471,0.21293382,0.2545614,0.28209805,0.28569207,0.25895324,0.21560377,0.17560203,0.1612768,0.17373316,0.20030145,0.22208874,0.23728986,0.2503904,0.26125023,0.25240222,0.21263842,0.14886664,0.0891485,0.06031454,0.081706494,0.15624265,0.2699621,0.3840488,0.4547154,0.45269808,0.38555804,0.282092,0.17855026,0.09645865,0.044992715,0.021088699,0.019568443,0.03643341,0.06620137,0.10013456,0.12494576,0.13758242,0.14581944,0.16123484,0.18083428,0.18938778,0.18073024,0.171791,0.18980765,0.2417593,0.30151835,0.33470142,0.32781097,0.30251968,0.28543985,0.2834477,0.27419898,0.23595516,0.16916114,0.09765185,0.045868102,0.023619398,0.0278276,0.049353305,0.07693452,0.096672334,0.0996568,0.08861425,0.07723295,0.07998991,0.09745791,0.12100086,0.13880593,0.15681957,0.18118758,0.21250273,0.22778787,0.21521735,0.18535282,0.17404754,0.20050602,0.24867563,0.27804106,0.25920102,0.19723481,0.12160706,0.06357812,0.036404997,0.034930307,0.04460912,0.05117846,0.049073566,0.04127415,0.0370571,0.042544287,0.057412595,0.07389056,0.08335584,0.08110043,0.0703043,0.058775354,0.053974893,0.05904464,0.07323539,0.09460788,0.11715951,0.13221243,0.12952693,0.10907823,0.08048085,0.059885625,0.05609261,0.06771382,0.08518097,0.09790403,0.10028576,0.09176562,0.07898211,0.06866869,0.06533954,0.06519238,0.063131206,0.05738868,0.0524493,0.05207817,0.054985654,0.057367936,0.059613112,0.066778935,0.08100588,0.095809996,0.09958597,0.08697786,0.06348892,0.041528475,0.029995985,0.030001724,0.03608771,0.041398555,0.0417597,0.03725017,0.031009667,0.02639097,0.024453284,0.024219362,0.023947543,0.02322339,0.023373688,0.027242675,0.03813939,0.05709396,0.08102068,0.10200251,0.11234104,0.10911661,0.09618878,0.079823785,0.06448804,0.051909283,0.043195542,0.03993903,0.042520802,0.04856941,0.053981926,0.056480493,0.05721202,0.05942872,0.06529204,0.07556795,0.09003231,0.108214416,0.12825048,0.1462804,0.15800335,0.16019048,0.15536988,0.15050052,0.15355617,0.16416185,0.17368273,0.17358561,0.1642008,0.15269347,0.1426218,0.13027711,0.11148616,0.08901871,0.074210614,0.079123735,0.11073031,0.16568048,0.23145385,0.2916006,0.33323038,0.35328344,0.3560381,0.3451064,0.3201175,0.27968004,0.23390226,0.19440274,0.168449,0.14447078,0.115353405,0.08335382,0.06807063,0.07719921,0.10300678,0.12086155,0.11832324,0.10275283,0.10312978,0.14417338,0.23006876,0.33821437,0.43640494,0.501525,0.52429605,0.50311595,0.43779078,0.33782244,0.2270099,0.13650364,0.084789395,0.06821466,0.06882384,0.075630106,0.09494728,0.14371224,0.22815114,0.3308443,0.41837716,0.4610256,0.45159265,0.40154514,0.33407632,0.26584372,0.20722537,0.15610713,0.11136842,0.07207892,0.044863462,0.034008164,0.04120253,0.059954435,0.08233186,0.10390502,0.13302965,0.18314551,0.2599055,0.34704384,0.41734862,0.4528116,0.45902595,0.45482847,0.45218417,0.4442893,0.414807,0.35536456,0.27937758,0.2157448,0.190068,0.2080336,0.25150308,0.2956021,0.32116604,0.3251239,0.31454948,0.3000451,0.293157,0.2973015,0.31303558,0.32958964,0.3412424,0.3383402,0.3182684,0.2774827,0.22769207,0.18728341,0.17042534,0.1708887,0.16936384,0.15742154,0.13989078,0.12836191,0.119675286,0.11035017,0.10061785,0.10582993,0.13112138,0.16988106,0.19659002,0.19768043,0.17514302,0.156339,0.16682349,0.21674037,0.2899262,0.355508,0.3926014,0.39862117,0.39416555,0.39795816,0.41983628,0.45389697,0.4944615,0.54013944,0.58599496,0.6136722,0.59778076,0.5314315,0.439249,0.3604059,0.31709716,0.29715487,0.27482134,0.23623413,0.19486946,0.17256571,0.18253773,0.21820171,0.26131603,0.29221755,0.2951957,0.26740006,0.21449852,0.15474947,0.103593715,0.07372527,0.065114595,0.07331031,0.09176022,0.12125168,0.16351831,0.21574748,0.25853953,0.27114546,0.24115843,0.18380438,0.12340862,0.083700664,0.06861344,0.07488391,0.096230336,0.13353322,0.18158008,0.22801983,0.24913144,0.23309694,0.18450736,0.12907661,0.08843615,0.0728844,0.0768784,0.09158062,0.10927721,0.12448349,0.13695759,0.15279622,0.18673657,0.24770202,0.32881525,0.40188968,0.43769422,0.42736092,0.39092267,0.35892978,0.34566483,0.3411667,0.32586494,0.29468176,0.26162842,0.24452655,0.24609773,0.2527391,0.24967122,0.23217523,0.20390554,0.17009489,0.13762905,0.117347695,0.11677987,0.13092385,0.14202274,0.1368435,0.11760154,0.09882164,0.08940043,0.085934974,0.07994701,0.07091099,0.06721863,0.07556158,0.09157505,0.103433676,0.10341031,0.09640921,0.09199819,0.09546632,0.10129259,0.10392514,0.101501256,0.09718833,0.09128868,0.082607806,0.07172961,0.063286066,0.061493736,0.06731958,0.07856255,0.093212195,0.107141264,0.11422137,0.11023893,0.10144808,0.106799744,0.14508656,0.22243981,0.32231677,0.4172312,0.47706285,0.48367238,0.4328628,0.33977422,0.23421502,0.1488701,0.10416228,0.0968135,0.10794651,0.11486382,0.10996447,0.09995726,0.101988025,0.1232087,0.16025788,0.1997735,0.24281533,0.29640475,0.36904123,0.4407197,0.48286772,0.46845618,0.40308264,0.30930576,0.22142483,0.16224799,0.143961,0.16029269,0.19576871,0.230407,0.25139892,0.2530231,0.2346471,0.20168297,0.16890542,0.15985234,0.18891329,0.24596743,0.29687777,0.30696747,0.26581547,0.19356115,0.12670287,0.09657986,0.11190209,0.15681225,0.19980492,0.21473521,0.19394727,0.14872368,0.09968408,0.065240115,0.05938785,0.08274215,0.12275198,0.15469907,0.1642027,0.15556937,0.15081528,0.16041738,0.17913945,0.19094284,0.19908106,0.21610068,0.24849951,0.27485168,0.26845267,0.22508371,0.17346083,0.14961542,0.16516821,0.20106214,0.22868776,0.23388599,0.22189267,0.20148699,0.17553087,0.14297786,0.111094065,0.09088234,0.088212036,0.0948297,0.09919774,0.09426954,0.08354098,0.074139826,0.075345226,0.09435318,0.1324306,0.18130954,0.2246387,0.25023463,0.2528257,0.23779748,0.21095848,0.18234228,0.15746532,0.13971125,0.12278974,0.10343913,0.08421168,0.07731152,0.08868062,0.11351069,0.1366474,0.14830679,0.14724164,0.14055376,0.1330956,0.12898105,0.1294034,0.13592435,0.14410193,0.14782566,0.14085847,0.125021,0.10586796,0.091578424,0.087276965,0.09715948,0.12126062,0.15630342,0.19528542,0.23548873,0.2779876,0.325161,0.3680689,0.39038917,0.37655497,0.32961062,0.26995105,0.22607964,0.21445759,0.23779409,0.28507897,0.34742376,0.4055641,0.44076347,0.42706028,0.3663212,0.27846774,0.20229222,0.15685213,0.13983683,0.13406049,0.13164824,0.14527357,0.19145799,0.27365795,0.36339104,0.41985038,0.4104705,0.33793962,0.23410223,0.14194058,0.0908404,0.08647057,0.11726919,0.16006063,0.19441499,0.20649834,0.2039911,0.20207798,0.21160932,0.22090931,0.2131632,0.18402468,0.15012185,0.12920375,0.12585019,0.12939873,0.13131623,0.12884106,0.12629884,0.1225554,0.11533057,0.10131798,0.08570093,0.07590213,0.079517275,0.09584459,0.1201556,0.14424838,0.1617099,0.16643704,0.1557806,0.13170177,0.102367766,0.07830124,0.06664547,0.06737387,0.07549109,0.08665844,0.100577764,0.11753508,0.13424017,0.14400135,0.14331894,0.13567491,0.12911372,0.12920254,0.13599701,0.14479412,0.15269226,0.16103305,0.17800331,0.20888722,0.24947877,0.28119138,0.285928,0.26159093,0.22786336,0.21261017,0.23047082,0.27575132,0.32528973,0.35763684,0.36308932,0.34928134,0.32884958,0.30737054,0.28149256,0.2460631,0.2051981,0.16687243,0.13791561,0.11623708,0.098252796,0.08237172,0.072577916,0.071549036,0.07836794,0.088202834,0.097177856,0.104457766,0.11275477,0.1271983,0.15369616,0.19227912,0.23500508,0.2634718,0.2641586,0.23368454,0.18978338,0.15433504,0.1446505,0.1581441,0.17947102,0.19151072,0.1861167,0.17125674,0.15833299,0.1564861,0.16083813,0.16532682,0.16843754,0.17408834,0.18229222,0.18274511,0.16759998,0.13716665,0.104014434,0.077821836,0.06156412,0.051348627,0.046644915,0.050183114,0.06537918,0.08673092,0.104717575,0.10869033,0.10219901,0.097893916,0.11572725,0.15743932,0.20775111,0.23606642,0.23244262,0.20682769,0.18633628,0.18186414,0.19452524,0.21475081,0.23771243,0.25398704,0.25799504,0.24588402,0.22070517,0.18600924,0.1519625,0.1339134,0.14454742,0.17654534,0.20470034,0.20713042,0.18753485,0.16976988,0.17004693,0.17964895,0.1755429,0.14973857,0.11721478,0.10167848,0.11132506,0.13637978,0.15874575,0.16618456,0.15674837,0.14244233,0.14240731,0.16930957,0.21249957,0.24204838,0.23364155,0.1926676,0.15446341,0.15668996,0.21062465,0.2915486,0.35667953,0.37346375,0.3364983,0.26377064,0.18089955,0.10846737,0.05769238,0.03143353,0.026590532,0.038427446,0.061041612,0.0884851,0.11071061,0.1205236,0.11678454,0.11191798,0.120648704,0.15006118,0.18901648,0.21833639,0.22553839,0.2160253,0.20728602,0.2138818,0.23570685,0.25688383,0.2584338,0.23165216,0.18647273,0.14271171,0.117584206,0.11513949,0.12907092,0.14911234,0.16660939,0.17593075,0.17442806,0.16280375,0.14393146,0.12208294,0.10164989,0.086211205,0.0767079,0.07235316,0.07267506,0.08005315,0.09472003,0.11309268,0.12631543,0.12883978,0.119214274,0.101671465,0.081335664,0.063639,0.051988706,0.046596717,0.04504184,0.044365093,0.04378346,0.045543674,0.052641433,0.066358455,0.082298726,0.09370762,0.094199814,0.084619254,0.069599636,0.055819187,0.04542893,0.039512858,0.03843263,0.044833813,0.058369,0.07616007,0.09446382,0.11527149,0.1423813,0.17360629,0.19613397,0.19603969,0.1720825,0.13833143,0.11373638,0.10864877,0.12104925,0.14331122,0.16808487,0.19206591,0.21085621,0.2206058,0.21833652,0.20644118,0.189656,0.1705168,0.14953648,0.12602252,0.10501703,0.091513656,0.09021857,0.09906593,0.115487255,0.13709812,0.16157167,0.18419117,0.19673614,0.19533342,0.17913522,0.1543371,0.12814417,0.11260005,0.11523787,0.13546549,0.16036437,0.17772554,0.18445593,0.18670459,0.18871753,0.18938474,0.18622546,0.17923927,0.16758202,0.14824809,0.12018925,0.08937963,0.0655414,0.054830704,0.056730192,0.067625366,0.08552015,0.11096257,0.14314039,0.17900284,0.21131308,0.23406583,0.24229111,0.23721345,0.22297366,0.20547426,0.1888509,0.1754034,0.1687935,0.17270327,0.18961768,0.21619578,0.24357562,0.2621672,0.26610973,0.2584775,0.24605201,0.23627561,0.22881566,0.21901025,0.20033254,0.17463851,0.14975241,0.13614255,0.13514562,0.14134236,0.1461529,0.14770724,0.14840786,0.15241696,0.16015203,0.1686851,0.1729037,0.16875787,0.15654275,0.14127101,0.12931184,0.124691464,0.12764858,0.13763964,0.15378976,0.17593396,0.20521778,0.2466145,0.30719864,0.38688114,0.47050905,0.529947,0.53975624,0.49317667,0.40590844,0.30628595,0.22065187,0.16451442,0.14267384,0.15183759,0.18324089,0.22176664,0.25067827,0.2601637,0.2539998,0.24638988,0.24659455,0.25370455,0.25576457,0.24676885,0.2252584,0.199221,0.17300451,0.15194006,0.13634948,0.12796865,0.12649459,0.13158897,0.13940603,0.14474787,0.14388198,0.13902903,0.13619004,0.14052677,0.15104939,0.16140312,0.1645083,0.15679808,0.14200036,0.12700154,0.12056318,0.12486438,0.13788629,0.15089244,0.15810575,0.15637161,0.1504683,0.1452108,0.14521693,0.14910048,0.15504873,0.16222973,0.17365797,0.1935248,0.22141047,0.2576722,0.30086818,0.35626376,0.41824636,0.47621974,0.5085522,0.50435513,0.46248177,0.39697322,0.32926384,0.2797536,0.25944448,0.25839055,0.2598633,0.24894708,0.2314864,0.21916424,0.22142185,0.22795813,0.22222781,0.19163547,0.14269006,0.091577224,0.05410154,0.035553265,0.03438544,0.04792955,0.072189026,0.10044136,0.12051479,0.12505843,0.11342597,0.094408415,0.0750584,0.060135815,0.050448623,0.046735365,0.048198935,0.05158038,0.054435227,0.057502475,0.06649036,0.08431605,0.106596075,0.122549035,0.12544842,0.120562725,0.11820579,0.1247152,0.13431793,0.14005846,0.1372899,0.12797342,0.11425108,0.100424685,0.09125456,0.09115703,0.098489024,0.10815544,0.112434365,0.11054493,0.10495627,0.10530142,0.11357546,0.1270854,0.13274182,0.12618954,0.11084344,0.10187862,0.10708336,0.12459886,0.14052355,0.14421828,0.13404287,0.11856615,0.10695395,0.10229675,0.10313418,0.10760519,0.11736184,0.13255836,0.14806344,0.15393017,0.1422705,0.11611751,0.086652376,0.06822512,0.06788498,0.08569592,0.11305524,0.13704674,0.14775413,0.14827274,0.15688331,0.18776496,0.23424111,0.26517388,0.25446063,0.2018077,0.13521852,0.08394396,0.060782913,0.06059274,0.072483055,0.08681059,0.09540552,0.09295017,0.07898027,0.05911574,0.042062413,0.037757087,0.056034695,0.102203965,0.17207257,0.25253534,0.32628345,0.37983873,0.40038761,0.38211694,0.32652795,0.25360197,0.19367236,0.17381811,0.19627948,0.23297542,0.24556802,0.21357243,0.14959909,0.08493069,0.04689303,0.046560127,0.07808944,0.12434173,0.16102557,0.16982819,0.14986931,0.1205813,0.110818885,0.13585883,0.18836582,0.23542194,0.24740094,0.21268754,0.1547581,0.11057847,0.11591997,0.17901175,0.28132907,0.38395414,0.45558953,0.4850867,0.4816229,0.45233917,0.3984226,0.32146022,0.24297644,0.19689389,0.20991461,0.27821228,0.3655833,0.42541456,0.42556164,0.3727133,0.30496845,0.27141866,0.2947305,0.3590661,0.41971397,0.43536535,0.39039335,0.30161488,0.20342694,0.1282554,0.09005031,0.083528854,0.093607925,0.106522225,0.1140305,0.112830766,0.103260815,0.09072286,0.086192094,0.10449326,0.15329003,0.22112794,0.27589634,0.28492412,0.24100721,0.1683516,0.103667416,0.0688209,0.06429412,0.07590047,0.09034728,0.098643385,0.100175776,0.09845225,0.099793844,0.107003205,0.11836661,0.12812805,0.13017367,0.122298956,0.11011074,0.10751256,0.12873127,0.1763743,0.23474781,0.28034046,0.29636374,0.2838659,0.25481296,0.22727728,0.21722686,0.2330858,0.26658627,0.2924936,0.28668553,0.2423972,0.17968893,0.12661965,0.10267904,0.103758305,0.11299191,0.11481627,0.10926608,0.104277015,0.10568229,0.10798511,0.105100594,0.09677047,0.0921156,0.099168874,0.11756585,0.13949297,0.15471609,0.1620851,0.16308735,0.16101323,0.1522642,0.14056517,0.13812648,0.16011614,0.20653267,0.25886384,0.29744276,0.3148688,0.32002863,0.32317135,0.3295121,0.33538103,0.33560145,0.32684934,0.31191066,0.29459146,0.27852395,0.26497304,0.25784197,0.2601095,0.26961538,0.27509224,0.2672821,0.24847175,0.2358879,0.24385524,0.2744399,0.31407118,0.34972212,0.3732687,0.38252485,0.3741968,0.3481718,0.3106282,0.27424714,0.24793924,0.2342449,0.22964258,0.23302293,0.24305926,0.2593715,0.27811673,0.29701424,0.31511852,0.3323722,0.34626356,0.34841308,0.33278215,0.29813883,0.25651363,0.22196247,0.20817222,0.21580009,0.23921978,0.26652703,0.2912217,0.30831552,0.31682244,0.31529954,0.30706707,0.2988334,0.29577956,0.29702243,0.29561964,0.28937706,0.28230038,0.2801114,0.28215298,0.28137702,0.27373922,0.25942644,0.24281764,0.22851042,0.2199214,0.21978627,0.22591887,0.2391973,0.25980747,0.28820097,0.31381002,0.32612184,0.3213381,0.31111655,0.30586627,0.30847362,0.3090699,0.3000059,0.27942577,0.2554193,0.2383586,0.2352382,0.24380004,0.25423908,0.25656888,0.25039175,0.2413634,0.23804285,0.23853628,0.24067616,0.23757546,0.23255776,0.22613162,0.22519825,0.22839695,0.23714994,0.2482769,0.2649021,0.28762686,0.31510097,0.34160867,0.36279333,0.37767664,0.38220358,0.37283793,0.35316494,0.34117785,0.35095027,0.37637243,0.39186335,0.37999606,0.34435546,0.30384472,0.27002603,0.24680191,0.23273057,0.23061417,0.24135768,0.2636357,0.29348186,0.32425836,0.35051167,0.3646867,0.3678048,0.36267948,0.358215,0.35516837,0.35351372,0.35058102,0.35021284,0.3535701,0.35829914,0.3553451,0.3428091,0.32377362,0.30912164,0.29974985,0.29566967,0.28925666,0.2820275,0.27313784,0.26842323,0.26919663,0.2776849,0.2895938,0.29885483,0.3001978,0.29316053,0.28087643,0.26503345,0.24589948,0.22357555,0.202155,0.18707407,0.18331999,0.19155066,0.21048601,0.23547153,0.26142615,0.27948678,0.28632987,0.28278723,0.2824262,0.29504752,0.32625842,0.3629674,0.38973534,0.3921019,0.37249222,0.33999923,0.30590624,0.2718691,0.23572208,0.19642346,0.16114749,0.14231306,0.14437239,0.15995483,0.16835745,0.16128619,0.14018711,0.12025762,0.10512003,0.098222695,0.09696972,0.10282601,0.10804191,0.1059809,0.094377674,0.08255172,0.07903024,0.0853991,0.0948424,0.10084797,0.10088574,0.09687076,0.09272892,0.093153864,0.09960947,0.10811627,0.10908961,0.09705588,0.074127145,0.05137894,0.037889283,0.037741795,0.046309922,0.05697312,0.0658999,0.080672525,0.11612952,0.18265432,0.26894584,0.3432288,0.37026572,0.33824086,0.26714575,0.19804792,0.16194187,0.16273087,0.17642517,0.1777672,0.15885574,0.1348355,0.12864971,0.14891595,0.18343031,0.2029367,0.19030802,0.14972125,0.107711755,0.08595761,0.08857292,0.10127494,0.106301196,0.09780502,0.0824657,0.07456703,0.0791136,0.09092619,0.096527494,0.09007997,0.074119456,0.05846891,0.04909329,0.04740933,0.049721915,0.051650513,0.049291003,0.04181614,0.03138819,0.022618063,0.020159155,0.028577486,0.049457937,0.079686284,0.10815755,0.124318756,0.12718396,0.13320383,0.163197,0.22346485,0.29831144,0.35878074,0.38831213,0.38009718,0.3436015,0.28692937,0.23502272,0.21078385,0.23070867,0.2756151,0.3103906,0.30775502,0.28061646,0.26296115,0.27918544,0.31211543,0.32465497,0.2880269,0.21490575,0.14331163,0.11892124,0.15887074,0.24964912,0.3464339,0.40849784,0.41636178,0.38474694,0.3356533,0.2828307,0.22463518,0.16106676,0.10209764,0.065580316,0.06746108,0.11045319,0.17948918,0.24180329,0.26604405,0.24149126,0.18821418,0.13824083,0.11128808,0.10266241,0.09710196,0.09005097,0.095371746,0.1298099,0.19026078,0.24670488,0.26352918,0.22730763,0.15857184,0.09286368,0.056472477,0.050866917,0.062125444,0.07348021,0.08043436,0.08560162,0.09319436,0.09838041,0.09445926,0.079006284,0.05847134,0.04174963,0.03306103,0.030835876,0.029882416,0.027206585,0.0229806,0.020489512]