[0.011800129,0.011804267,0.011830983,0.011910528,0.012085676,0.0123723,0.012748997,0.013147199,0.0134923505,0.013712768,0.013707318,0.013294009,0.012328155,0.010927887,0.009968023,0.010979614,0.01620302,0.027142325,0.04425186,0.06558177,0.0887711,0.11165563,0.13426572,0.1567809,0.17852014,0.19706786,0.21014686,0.21746528,0.22022456,0.22010916,0.21740277,0.2123488,0.2054079,0.19817062,0.19163728,0.18611838,0.18119776,0.17729461,0.17531788,0.17650525,0.18037845,0.1855604,0.18936463,0.19122648,0.19148304,0.19218843,0.19278093,0.19224878,0.18896024,0.1844822,0.18078859,0.179613,0.18005808,0.1808642,0.18057358,0.17871185,0.17437755,0.16771315,0.15952289,0.15235575,0.14813499,0.14777939,0.14999773,0.1528502,0.15445429,0.15410961,0.15217997,0.14975049,0.14824827,0.1488242,0.15237348,0.15860303,0.16565374,0.16936654,0.16532008,0.15176545,0.13199528,0.11249574,0.09860158,0.091421366,0.08864599,0.08734703,0.085666366,0.08251411,0.07737849,0.07079037,0.06466932,0.06123646,0.06171392,0.06595921,0.07320627,0.081905596,0.089744896,0.093538396,0.09154296,0.08409363,0.07400319,0.064130016,0.057020556,0.054304283,0.05817147,0.069802575,0.088528745,0.10926481,0.12574707,0.13310559,0.13231081,0.12736872,0.12288564,0.12018349,0.118655115,0.116950005,0.11480247,0.11252654,0.11069108,0.10938602,0.10850683,0.1076307,0.106549166,0.10503649,0.10308991,0.10057253,0.09741571,0.09369961,0.089885354,0.086605065,0.08423727,0.08287444,0.08321651,0.08785826,0.10103426,0.12582825,0.16023798,0.1966083,0.22534366,0.24116065,0.24508221,0.24251455,0.2381231,0.2345102,0.23259847,0.2341667,0.2401517,0.24907756,0.2554545,0.25412607,0.24359643,0.227462,0.20966704,0.19186527,0.17402954,0.15918685,0.15347438,0.1615979,0.18060933,0.20119663,0.21400023,0.21540295,0.20625143,0.18876946,0.16639858,0.14707004,0.14155515,0.15711473,0.19028716,0.22932994,0.26113984,0.27928963,0.2842965,0.28123248,0.27555057,0.2711185,0.26939857,0.26977172,0.27083716,0.27124202,0.27012408,0.26743165,0.26369277,0.26032606,0.25774387,0.25545332,0.25146842,0.24465044,0.23494959,0.22396235,0.21415949,0.20795135,0.20658086,0.20871542,0.21170314,0.21320723,0.21245188,0.20936857,0.20338999,0.19480866,0.18500794,0.17644078,0.16957034,0.16334696,0.15678559,0.15120119,0.14845905,0.14848043,0.14880048,0.14773488,0.14594482,0.14532943,0.1455699,0.14497484,0.14286202,0.14150362,0.14292224,0.14588077,0.14635713,0.1417912,0.13342445,0.124479495,0.11678752,0.11016384,0.10430621,0.100563474,0.10180306,0.10985022,0.12409347,0.14003383,0.15281911,0.15899825,0.15960248,0.15726437,0.15493648,0.15347661,0.15279125,0.15223585,0.15149702,0.15047681,0.14926894,0.14790452,0.14634877,0.144476,0.14214206,0.13896173,0.13409464,0.1265437,0.11574948,0.10259676,0.08954657,0.08098179,0.08256629,0.09967349,0.13332959,0.17736286,0.21946831,0.24764307,0.25613168,0.24725781,0.22819257,0.2066382,0.18789165,0.1737668,0.1636375,0.1560622,0.15094773,0.14941317,0.15269506,0.15954305,0.16646846,0.16936438,0.16707645,0.16146195,0.15591948,0.15260205,0.15281512,0.1575343,0.16724777,0.17945735,0.18850821,0.18849178,0.17786802,0.1603247,0.14145006,0.12500998,0.112591356,0.10660847,0.110273115,0.12545782,0.14830787,0.1716098,0.1880617,0.19540305,0.19490217,0.18964832,0.18175109,0.17261076,0.16327803,0.15472318,0.14775704,0.14274977,0.13984157,0.13913818,0.14108914,0.14628042,0.15433729,0.16293705,0.16844569,0.168449,0.16370372,0.15733105,0.15218501,0.14884388,0.14655936,0.14523526,0.14742292,0.15682815,0.1754523,0.20011331,0.22330423,0.23717554,0.23830956,0.22923118,0.21554272,0.20211661,0.18996978,0.1770498,0.16032414,0.13886873,0.11447942,0.090768166,0.070866145,0.056234255,0.046522394,0.041123692,0.04029582,0.045828816,0.058382545,0.0754731,0.090467066,0.09731945,0.094099365,0.08424705,0.07260296,0.063647546,0.06249367,0.07597416,0.108886085,0.15743454,0.20828883,0.24558945,0.26114875,0.25778982,0.24488477,0.23099025,0.22034521,0.2136604,0.21031517,0.20967662,0.21102493,0.21335883,0.21530597,0.21575446,0.21402563,0.2097928,0.20248397,0.19235331,0.18122424,0.17273152,0.16927,0.17050178,0.17336422,0.17540278,0.1761869,0.17727862,0.1804877,0.18717974,0.19840007,0.21422552,0.2326491,0.24826849,0.2549001,0.24892272,0.23248361,0.21146977,0.19290638,0.18175966,0.18056542,0.18795265,0.19916916,0.20722465,0.20722163,0.19836174,0.18395983,0.16821754,0.15470521,0.14597799,0.14448774,0.15096766,0.16325629,0.17542106,0.18155527,0.17853464,0.16814798,0.15442045,0.14189948,0.13423997,0.13508709,0.1463177,0.16653128,0.18953359,0.20833601,0.21844833,0.22045545,0.21709941,0.21115918,0.20389271,0.19606107,0.1883927,0.18179886,0.17678283,0.17304088,0.16935815,0.16454582,0.15853421,0.15274522,0.1489963,0.14804353,0.14918339,0.15125488,0.15374845,0.15665825,0.15947092,0.16079146,0.15940516,0.15560617,0.15194441,0.15270968,0.16216683,0.18091345,0.20302303,0.21721874,0.21380657,0.19138885,0.15822332,0.12615432,0.103788495,0.09310531,0.0913296,0.09440327,0.0995486,0.105632305,0.11214533,0.11807176,0.121973716,0.122889936,0.12192889,0.12218254,0.12738751,0.13817851,0.15056717,0.15727049,0.15372188,0.14121453,0.12604316,0.11387726,0.10763091,0.10809764,0.11615625,0.1310132,0.14891274,0.16381411,0.17193997,0.17346112,0.17121786,0.1675452,0.16331534,0.1589644,0.15464322,0.15080215,0.14785874,0.14700936,0.14879239,0.15209578,0.15412991,0.152654,0.14785838,0.14193274,0.13703908,0.13386787,0.13181548,0.13032813,0.12913887,0.12836896,0.12765329,0.12657271,0.124882214,0.123730846,0.12605694,0.13493925,0.15041928,0.16648729,0.17374633,0.16473758,0.13977881,0.106063694,0.07386548,0.051437814,0.043786142,0.05136199,0.069861926,0.089746,0.100875236,0.09765896,0.08281991,0.06383187,0.048130143,0.040037867,0.0425199,0.057837743,0.08542196,0.11914923,0.14981532,0.17202301,0.18753271,0.20024931,0.20868213,0.20695202,0.19503284,0.18511437,0.19363455,0.22599886,0.2699601,0.30608884,0.32227597,0.32010806,0.3081126,0.2928816,0.2762822,0.258743,0.24353601,0.2347939,0.23324244,0.23372479,0.23019445,0.222026,0.21509564,0.21568394,0.22440012,0.2358439,0.2440902,0.24619628,0.2438715,0.24010944,0.23919465,0.24256434,0.24918158,0.25338748,0.2512097,0.24327575,0.23702621,0.23959422,0.2523943,0.2685533,0.2782382,0.2740391,0.25556675,0.22911584,0.20591696,0.19621094,0.20395489,0.22363527,0.24496444,0.2595003,0.2657583,0.26687005,0.26736832,0.26954338,0.2741311,0.2803217,0.28761438,0.29532084,0.30268228,0.30765724,0.30722,0.298196,0.27845964,0.24967302,0.21791078,0.1932317,0.18359816,0.19049208,0.20719449,0.22350185,0.23240383,0.2337132,0.23332226,0.2371407,0.24680682,0.25794202,0.26446593,0.26262164,0.25393346,0.24273323,0.23406719,0.23055881,0.23274688,0.2373179,0.23912895,0.23375034,0.22368677,0.2181095,0.22620805,0.24678898,0.26593527,0.26774335,0.24767143,0.21815445,0.19753061,0.19751441,0.2160695,0.24291535,0.26591203,0.2763383,0.27125713,0.25531837,0.23848642,0.22999398,0.23277356,0.24452174,0.26068065,0.27664304,0.28577754,0.2815551,0.26100165,0.22826155,0.19185483,0.16025482,0.13855135,0.12859066,0.12980546,0.13953064,0.15306227,0.16512811,0.17219818,0.17349285,0.16986884,0.16184162,0.15066445,0.14012736,0.13723324,0.14703059,0.16820832,0.19201873,0.20883507,0.21372168,0.20888625,0.19972669,0.19114445,0.18503606,0.18105972,0.17780675,0.17421834,0.16995962,0.16544722,0.16121984,0.15777619,0.15532391,0.1540262,0.15375622,0.1542197,0.15484692,0.15527688,0.15534914,0.15530021,0.15534978,0.15571254,0.1563327,0.15710819,0.15836744,0.16161631,0.16895325,0.1802653,0.19047725,0.19047771,0.17340653,0.14035627,0.10084515,0.066044725,0.042518754,0.029927703,0.024392793,0.021947427,0.020482423,0.019264597,0.018175201,0.017151916,0.016145963,0.01518534,0.014887366,0.017030647,0.02506113,0.042405557,0.070185326,0.105116464,0.14142007,0.1740812,0.20168613,0.22562878,0.24749152,0.2668169,0.2814343,0.2890487,0.28922272,0.2825737,0.27057418,0.25443482,0.23664553,0.22033948,0.20866543,0.20260346,0.20081717,0.20052488,0.19930257,0.19586594,0.19020051,0.1831827,0.17625697,0.17083971,0.16725318,0.16463472,0.16158795,0.15802006,0.15507136,0.15398617,0.15445854,0.15502216,0.15482168,0.1540615,0.1538365,0.1549824,0.15951604,0.16924526,0.18366472,0.19647829,0.19891621,0.18602757,0.16106367,0.13260788,0.10857919,0.0951251,0.09807072,0.123123385,0.16947645,0.22654112,0.27764347,0.310738,0.32426146,0.32514408,0.32163295,0.31835702,0.31584403,0.3121535,0.3059084,0.29716918,0.28728843,0.2758795,0.25953892,0.23354875,0.19611903,0.15300308,0.11697629,0.104999416,0.12836069,0.18634887,0.261577,0.33015835,0.37223887,0.38289642,0.36712158,0.33485398,0.29441538,0.25569123,0.22791678,0.21744142,0.22178586,0.23223507,0.2391891,0.23842598,0.23107584,0.22057801,0.21024825,0.20323972,0.20277381,0.21000463,0.22209756,0.23295929,0.23782982,0.23648763,0.23254643,0.22945589,0.22810803,0.22858995,0.23280585,0.24417901,0.26309678,0.28331554,0.29499233,0.291813,0.27646232,0.2569706,0.2402242,0.22787417,0.218677,0.21127063,0.20392637,0.1936918,0.1770456,0.15415055,0.13070533,0.117768325,0.1264906,0.16171418,0.21760376,0.279165,0.33131528,0.36558136,0.38286802,0.38653028,0.3783191,0.3558893,0.31922784,0.2746654,0.23724616,0.222265,0.23608883,0.26981735,0.3053556,0.3267751,0.3289725,0.31741846,0.3010961,0.2865742,0.27565357,0.26758125,0.2612541,0.25645673,0.25293896,0.24953318,0.24376668,0.23248477,0.21427284,0.19200803,0.17487288,0.17307861,0.19142286,0.2234097,0.25692472,0.2810659,0.29294145,0.2944999,0.29078886,0.28645286,0.28728107,0.29617918,0.31250766,0.3304547,0.34520018,0.3545809,0.35892352,0.354574,0.33446002,0.293793,0.23912619,0.18754315,0.15686484,0.15320508,0.16778003,0.18369837,0.1874137,0.1754123,0.15447128,0.13660836,0.1338345,0.15356745,0.19430415,0.24364989,0.28104305,0.2896947,0.26694334,0.22674207,0.18712659,0.1588382,0.14208297,0.13450105,0.13614969,0.14840032,0.16953604,0.19470085,0.21815419,0.23542361,0.24222259,0.23617171,0.21857013,0.19801627,0.18616335,0.19197439,0.21401839,0.24224895,0.2631161,0.2674923,0.25338858,0.22674306,0.19889195,0.1824281,0.18463434,0.20322625,0.2271443,0.24343562,0.24472165,0.23274446,0.21551813,0.20175987,0.19702083,0.20392631,0.22304308,0.25245792,0.28531885,0.31102648,0.31889823,0.30387422,0.2682705,0.2208039,0.17305769,0.13617574,0.11793185,0.11977845,0.13550289,0.15299945,0.16137098,0.15749763,0.14725512,0.13881542,0.13665295,0.14093538,0.15188526,0.17048632,0.19503243,0.21791936,0.22993048,0.22801764,0.21855403,0.21088012,0.20868997,0.2090916,0.20978217,0.21439528,0.22870485,0.25337788,0.28139868,0.30311343,0.3112515,0.3032564,0.28056535,0.24913014,0.21907185,0.20186712,0.20362175,0.22093575,0.24274166,0.25964072,0.26981866,0.2782921,0.28883895,0.29980788,0.30555245,0.30225173,0.29105207,0.27718976,0.26585376,0.25800166,0.24973191,0.23520128,0.2121253,0.18323863,0.1554238,0.13561322,0.12945585,0.13930416,0.16345596,0.19528855,0.22585349,0.24757667,0.2571417,0.25483802,0.24344136,0.22715475,0.21134655,0.20011954,0.19439857,0.19184147,0.18948205,0.18527192,0.1776634,0.16507638,0.14788435,0.13056447,0.11974138,0.11813987,0.12088636,0.11975759,0.11138948,0.10025995,0.09591523,0.109509744,0.15622741,0.2479639,0.38103223,0.5217374,0.62262493,0.64789504,0.5987243,0.50376576,0.40140715,0.31772134,0.2635245,0.2351716,0.2235375,0.21902275,0.21652551,0.2144802,0.213464,0.21364337,0.21474928,0.21629258,0.21834655,0.22105543,0.22406684,0.22664194,0.22841291,0.22986281,0.2316097,0.23350756,0.2353941,0.23822223,0.24490581,0.25705984,0.27256212,0.28479365,0.2879415,0.2810811,0.2691662,0.25853726,0.25307286,0.25268996,0.2549753,0.25694093,0.2568257,0.25438198,0.2505195,0.24575876,0.23984434,0.23289292,0.22650604,0.2254771,0.23642464,0.26717862,0.3188845,0.38230613,0.43611982,0.4601555,0.44532415,0.39893317,0.33654836,0.2772084,0.24052422,0.24685806,0.3053914,0.40488115,0.50952715,0.57952994,0.5896339,0.5437687,0.46564272,0.38649046,0.32831612,0.29846254,0.28961286,0.2902161,0.29248297,0.29547,0.30026397,0.30575836,0.30917627,0.3088857,0.30641213,0.3039616,0.3021846,0.29931614,0.2931029,0.2830801,0.27146646,0.26264706,0.2604058,0.26631084,0.27830562,0.2930827,0.30561116,0.3124754,0.31098118,0.30377823,0.2945425,0.28788814,0.2839196,0.28210032,0.28147826,0.28339133,0.2886538,0.2967238,0.3048365,0.3100873,0.31129417,0.309742,0.3078198,0.30715716,0.30803224,0.30981994,0.31196773,0.3141258,0.31635082,0.3186597,0.3211992,0.32367983,0.32557234,0.3264958,0.32869443,0.3385506,0.36515626,0.4123037,0.47233137,0.5255809,0.5515861,0.5385422,0.48975527,0.41958633,0.3483065,0.29266036,0.26043957,0.24829687,0.24770911,0.25099513,0.25524127,0.26034626,0.26671398,0.27319327,0.2780322,0.27987877,0.27924964,0.277591,0.27647352,0.27593946,0.27536246,0.2738298,0.27158085,0.26921865,0.2684313,0.2708213,0.27777568,0.28518304,0.2840906,0.2631044,0.22093232,0.16738577,0.11977621,0.088227026,0.07306715,0.067089535,0.06476233,0.06411803,0.06543486,0.06787405,0.069593765,0.06974139,0.06927239,0.06953752,0.07167924,0.07976837,0.104541965,0.15820879,0.24162173,0.33444488,0.40381262,0.42390832,0.3911132,0.3213376,0.24056745,0.17700122,0.15906952,0.2063365,0.31615877,0.45561793,0.5741778,0.63066834,0.6137486,0.5422879,0.44908354,0.36399606,0.30420864,0.2725338,0.26182833,0.26173377,0.26458883,0.26686773,0.2680094,0.26845405,0.26873872,0.26910827,0.2697567,0.2710186,0.273567,0.27834275,0.28566417,0.29453525,0.30191278,0.30495682,0.30284616,0.298834,0.29745936,0.3020915,0.31111154,0.31971073,0.32206205,0.3165494,0.30521622,0.29238674,0.28023973,0.2689723,0.25846145,0.2508182,0.2509474,0.2624488,0.28455618,0.30911204,0.3261063,0.32857564,0.31782845,0.30067766,0.2853984,0.27819267,0.2818925,0.29713377,0.32046163,0.34625223,0.36539653,0.37102124,0.35887828,0.3339794,0.3093035,0.30560064,0.33830658,0.40585092,0.4837636,0.538544,0.5485754,0.51607513,0.45944062,0.39826557,0.3436825,0.30007496,0.2682958,0.24820673,0.23805125,0.23494418,0.23552983,0.23686917,0.23733974,0.2365764,0.2350539,0.23357375,0.2332189,0.23578183,0.24237286,0.25220183,0.26174864,0.26748943,0.2683389,0.26698956,0.26773143,0.27411094,0.28589353,0.29868397,0.30467832,0.297547,0.2757561,0.24459481,0.2135834,0.19166327,0.18240058,0.18143477,0.18165489,0.17886537,0.1756822,0.17677033,0.18471198,0.19833304,0.21495415,0.23125309,0.24408066,0.25168073,0.25623062,0.26156363,0.2701039,0.27861258,0.2815968,0.27380264,0.2539378,0.22309679,0.18851525,0.16574955,0.179787,0.24813388,0.36473727,0.49087724,0.5781727,0.59358263,0.5377192,0.43460903,0.31728932,0.21266119,0.13715558,0.096096665,0.08845014,0.10933957,0.14886262,0.19008954,0.21350755,0.20789574,0.17655905,0.13426454,0.09653669,0.072833024,0.066436835,0.07741318,0.10463607,0.14218993,0.17926852,0.20137395,0.1996757,0.17517738,0.13909253,0.10461047,0.08115357,0.07259097,0.07959477,0.10049462,0.13029034,0.16107708,0.18560357,0.20152427,0.21158451,0.22088502,0.23272324,0.24770427,0.2636452,0.27820012,0.28982535,0.2984308,0.30349278,0.30407378,0.2998995,0.2928097,0.28548208,0.27951607,0.27503788,0.27200124,0.27091718,0.27187225,0.27435514,0.27929792,0.29210457,0.32152054,0.37218976,0.4364694,0.49429572,0.52454925,0.51807743,0.4815686,0.42984852,0.37628296,0.32898226,0.29294324,0.27176723,0.2666678,0.27420565,0.28718305,0.2982724,0.30428782,0.30647707,0.30778632,0.30911446,0.3096187,0.30846265,0.30682468,0.30533323,0.3030037,0.29673555,0.28586635,0.2726513,0.26260674,0.25984117,0.26708427,0.28286466,0.30327317,0.3200684,0.32624194,0.317209,0.29434144,0.2603757,0.2196517,0.17751896,0.14297104,0.12566261,0.13057594,0.15341327,0.18155955,0.20142283,0.20600872,0.19805402,0.18610156,0.1799166,0.18893413,0.22235377,0.2823275,0.35628164,0.41642177,0.43732062,0.4125594,0.3596239,0.3053904,0.2725819,0.2740055,0.31460682,0.38886413,0.4771227,0.5484707,0.5769267,0.55634576,0.50260407,0.44003725,0.38744155,0.3524009,0.3336245,0.32562447,0.32178506,0.3177792,0.31218874,0.30675086,0.3031627,0.3023747,0.3035154,0.30572963,0.3080472,0.30988106,0.31072152,0.3105727,0.31083158,0.31351545,0.3216558,0.33619523,0.35626206,0.37669536,0.39211044,0.3965042,0.38700524,0.36255184,0.32760754,0.2905461,0.26146278,0.24570681,0.24213767,0.24582434,0.2531533,0.26392424,0.27883372,0.29633075,0.31158268,0.31961825,0.31782886,0.30763853,0.2927355,0.2783296,0.2687578,0.26605925,0.26838362,0.27147767,0.27183297,0.2687532,0.2641628,0.26011774,0.25905436,0.26593384,0.290784,0.34345534,0.4226307,0.50820875,0.56883574,0.58103496,0.5432362,0.4739367,0.39788458,0.33374646,0.28923503,0.26271388,0.24769378,0.23804118,0.23077439,0.22601558,0.22388624,0.22359751,0.22334622,0.22253837,0.22155906,0.22159255,0.22319363,0.22652529,0.2310127,0.23580731,0.23942538,0.24105407,0.24087517,0.2410184,0.24355237,0.24901406,0.25372037,0.25269884,0.24290998,0.22853918,0.2162524,0.21036543,0.20633067,0.19659759,0.17622422,0.14874786,0.12189719,0.10249892,0.09171751,0.086714566,0.08420398,0.08321855,0.083659925,0.08673158,0.097870775,0.13138135,0.2001607,0.30102098,0.4040451,0.4699396,0.4736155,0.41982055,0.334157,0.24791043,0.188392,0.17721337,0.22590196,0.32573783,0.44315323,0.5330561,0.563782,0.5337338,0.46552476,0.38900873,0.32575953,0.28557694,0.26666567,0.26178113,0.26249433,0.26409888,0.26491532,0.26518252,0.26529184,0.26556548,0.2661623,0.26701757,0.26806688,0.2692121,0.27046594,0.27214545,0.27516004,0.28092757,0.28956828,0.2995542,0.30811226,0.31477714,0.3199923,0.32340434,0.32055748,0.30783918,0.28612885,0.26278916,0.24527842,0.23720199,0.23691463,0.24180137,0.2501955,0.26218233,0.2770624,0.29293776,0.30653617,0.31573126,0.31966552,0.31863436,0.31260428,0.30264226,0.29189733,0.28486085,0.28318098,0.283348,0.27868792,0.26544526,0.2460569,0.22726113,0.21624775,0.21947826,0.24550498,0.29904377,0.37442303,0.448391,0.49516764,0.49867216,0.46373537,0.4054258,0.3420693,0.28636065,0.24525826,0.21885067,0.20337903,0.19440056,0.1890465,0.18611743,0.1850786,0.1855957,0.1870653,0.1887625,0.1899371,0.19017495,0.18950765,0.1887755,0.18923056,0.19109704,0.19197786,0.18755268,0.17650448,0.16551934,0.17082576,0.20858188,0.28268394,0.3749758,0.4541048,0.49142897,0.4781122,0.42434743,0.3508073,0.27586877,0.21157487,0.16341214,0.13366042,0.12284372,0.12928315,0.14758271,0.16871594,0.18464126,0.19253612,0.19632868,0.20175105,0.21274023,0.22927548,0.24950065,0.26975965,0.2860608,0.29506865,0.296448,0.29232216,0.28762195,0.2904266,0.31311607,0.36308274,0.43406498,0.50046873,0.5344694,0.52047575,0.46599945,0.38949838,0.3111162,0.2432223,0.19242816,0.15989535,0.14446326,0.14268689,0.1500181,0.16064708,0.16971266,0.17415361,0.17313908,0.16618942,0.15462564,0.14277864,0.13818258,0.14470078,0.15839721,0.1688223,0.16899304,0.16013767,0.15136771,0.15407242,0.18076415,0.23939319,0.32610247,0.41825715,0.4847722,0.50348127,0.47512674,0.41787985,0.3548653,0.30294272,0.2705475,0.2590482,0.2642999,0.27978715,0.29765093,0.31271362,0.32155383,0.3246734,0.3233008,0.32019603,0.31699,0.31514767,0.31436992,0.31357634,0.3110193,0.3058264,0.29845846,0.2905893,0.28519765,0.28721586,0.3046763,0.3453183,0.40872967,0.47929966,0.53047484,0.54094774,0.5093078,0.4541489,0.39938626,0.35987493,0.33744022,0.32660484,0.32118055,0.31724653,0.31302944,0.30839252,0.30424333,0.30180517,0.30159834,0.30303594,0.30496857,0.30648956,0.30740905,0.30787206,0.30804774,0.30791786,0.30730397,0.30575618,0.30197728,0.29571596,0.28944656,0.29227313,0.3134224,0.35627058,0.40827975,0.44991732,0.462947,0.44338927,0.3974787,0.33845925,0.27860108,0.22809386,0.19228773,0.17279835,0.16690327,0.16978632,0.17528673,0.17937368,0.18056077,0.18054663,0.18164222,0.18561323,0.19178756,0.19752729,0.1994089,0.19551511,0.1861092,0.17312135,0.15876432,0.14667428,0.1443888,0.16543849,0.22163425,0.31052575,0.4069372,0.4756322,0.49374855,0.4656858,0.41468838,0.36465898,0.32790983,0.30614865,0.29663265,0.29621986,0.3021873,0.3109288,0.31819728,0.319339,0.31181386,0.29510614,0.27100846,0.24185538,0.21158229,0.18567692,0.16982037,0.16597943,0.1703732,0.17687659,0.18160588,0.18565296,0.1932801,0.21066411,0.24518476,0.30070174,0.37173867,0.43995824,0.48431316,0.49303862,0.47094598,0.4327359,0.39253995,0.35811755,0.331036,0.31159636,0.29961535,0.29492152,0.29476187,0.29561016,0.29494038,0.2926939,0.289279,0.28366196,0.27474734,0.26458368,0.2584717,0.26097655,0.27088177,0.2828056,0.29145065,0.2957349,0.29784355,0.30229238,0.31679034,0.34854257,0.3972735,0.44731387,0.47593787,0.46797362,0.42854583,0.37662604,0.33175102,0.30273142,0.28849813,0.2835363,0.28300503,0.28398737,0.28462312,0.2841917,0.282529,0.2807263,0.27964616,0.28173926,0.29068348,0.31155583,0.34403703,0.38039193,0.4059424,0.41032574,0.39215863,0.36095455,0.3287493,0.3067967,0.30182424,0.31703433,0.3486265,0.38595426,0.4133862,0.41942036,0.40222433,0.37031636,0.3359252,0.3086537,0.2924348,0.28609145,0.2859621,0.28848967,0.29133144,0.2936852,0.29522672,0.2964362,0.29776546,0.30096683,0.30909637,0.32697868,0.3562803,0.39241982,0.42311612,0.4365333,0.42670968,0.39780807,0.35890985,0.32179698,0.29630223,0.29048827,0.30604836,0.33793327,0.37282458,0.3963678,0.39784834,0.37587395,0.33447206,0.281396,0.224476,0.1736242,0.13863334,0.12699626,0.13849391,0.16388144,0.18800949,0.19769533,0.18863718,0.16610368,0.14065763,0.12259808,0.12008059,0.13704269,0.17097108,0.2098458,0.23652005,0.23742573,0.21211366,0.17270602,0.13546622,0.11063742,0.09969588,0.10040397,0.111524045,0.1330235,0.16180034,0.19168735,0.21664505,0.2346886,0.24587528,0.25016794,0.24736471,0.24227226,0.24344565,0.25738165,0.27856937,0.29192558,0.28260434,0.24876212,0.20218746,0.1608978,0.1393113,0.14389805,0.17063485,0.20569873,0.2289198,0.22599149,0.19659711,0.15613651,0.12679945,0.13107885,0.18686749,0.2971966,0.44253215,0.578993,0.6638596,0.6741409,0.62110215,0.53323513,0.44490775,0.37849894,0.34268865,0.33036366,0.32847822,0.32648477,0.3216717,0.3163327,0.31283167,0.3114864,0.31140563,0.31177098,0.3120214,0.31173363,0.3110182,0.31057945,0.3111048,0.3122927,0.31332132,0.31378216,0.31538925,0.321273,0.33531615,0.35730362,0.38249162,0.40153322,0.40982616,0.40896353,0.4071065,0.40902558,0.41556343,0.42343923,0.43083033,0.43642795,0.43973085,0.4398806,0.43667904,0.43067038,0.42297566,0.41517067,0.40844795,0.4046389,0.40672195,0.41934165,0.44362006,0.47379503,0.4967656,0.5013235,0.48411548,0.45187965,0.41626874,0.39076456,0.38834944,0.41649762,0.47015747,0.5290005,0.5669296,0.56781536,0.5336195,0.48037985,0.42596248,0.38341975,0.3581277,0.3498825,0.35369658,0.36378738,0.3754615,0.38691673,0.3970417,0.40475237,0.40818354,0.40560833,0.3958042,0.37899753,0.35798264,0.3381919,0.3251432,0.3209336,0.32265833,0.32529446,0.32538047,0.3240788,0.32551956,0.3346745,0.35072792,0.36712328,0.37276602,0.36354718,0.34343782,0.32330558,0.3093548,0.3019211,0.29641557,0.29026827,0.2839745,0.28105745,0.2838473,0.29205468,0.30161464,0.30868432,0.31069267,0.30770278,0.29972562,0.287995,0.27566457,0.2682301,0.26951197,0.27813292,0.28851435,0.29541183,0.29747212,0.29709628,0.30018607,0.31647918,0.35497043,0.414138,0.47619286,0.5156593,0.51687604,0.48233953,0.42825463,0.37207082,0.32691363,0.2985535,0.286707,0.28595582,0.2900362,0.2944542,0.2974746,0.29897007,0.29983196,0.30124667,0.30404422,0.30802336,0.31241617,0.3164437,0.31984612,0.32228938,0.323462,0.32297227,0.32129177,0.31978637,0.32122123,0.32852766,0.34261143,0.35870835,0.3674594,0.36023024,0.33750585,0.30834818,0.2844083,0.2703349,0.2641902,0.26093116,0.25850978,0.25676075,0.25630775,0.25588968,0.25415313,0.25036678,0.24596757,0.24289607,0.24386549,0.2526845,0.27623013,0.31909776,0.3775785,0.4341403,0.46761778,0.46424207,0.42844057,0.37592408,0.3278444,0.30142546,0.31061158,0.35747647,0.42983952,0.499419,0.53922564,0.5358315,0.49623826,0.43708432,0.37647137,0.32738528,0.29674575,0.2840253,0.2835326,0.2887042,0.2955229,0.30242896,0.30841985,0.31219304,0.31241694,0.30857956,0.30145845,0.2935377,0.28857437,0.28970125,0.29713503,0.30716804,0.31508446,0.3183954,0.31943795,0.32307056,0.33397487,0.35203353,0.3714682,0.38261065,0.37880504,0.36138788,0.33897284,0.32069397,0.30996564,0.30408594,0.2984867,0.29147658,0.28463838,0.2803119,0.27815685,0.27638647,0.27381614,0.27215528,0.27296302,0.2778801,0.28945807,0.31537163,0.36154214,0.4244198,0.48401514,0.5157521,0.50471765,0.456946,0.39296925,0.33770493,0.31023848,0.32165024,0.36972556,0.438871,0.50073844,0.5307858,0.5178723,0.4714742,0.4091835,0.34939483,0.30256334,0.27342805,0.2604278,0.25907645,0.26342908,0.268968,0.2735794,0.27734277,0.28136408,0.28593838,0.29031792,0.2936112,0.29633364,0.29986814,0.30472207,0.3093865,0.3117235,0.31086135,0.30770898,0.30462,0.30473986,0.31237292,0.32863176,0.34913865,0.36285624,0.361271,0.34320584,0.31560978,0.28494307,0.25381103,0.22243108,0.19396585,0.17479675,0.17100513,0.18307926,0.20505647,0.22708678,0.24142696,0.24594544,0.24440952,0.24476336,0.25670364,0.28977212,0.34564713,0.4132717,0.4689355,0.49058482,0.4711366,0.4228123,0.36700454,0.3227419,0.30285534,0.3167698,0.36634314,0.43985268,0.50763637,0.54151326,0.5288015,0.48198238,0.42032018,0.36090267,0.3108313,0.27463213,0.253451,0.24666716,0.25016022,0.2595005,0.27071548,0.2814093,0.28999436,0.2959806,0.300059,0.30372357,0.30826724,0.31349623,0.31803402,0.3205531,0.32128587,0.3217491,0.3231444,0.32612836,0.33144653,0.3420582,0.3589379,0.3794551,0.39427736,0.39641002,0.3834348,0.3610555,0.33502212,0.30969042,0.28641117,0.26690185,0.25462794,0.25288856,0.2627158,0.27952644,0.296644,0.30789828,0.31075236,0.30508026,0.2944897,0.28881693,0.30167767,0.3412716,0.39980435,0.45550105,0.485216,0.47862938,0.44066754,0.38614547,0.33347484,0.3030934,0.31301734,0.36730814,0.4476579,0.5178613,0.5471365,0.52645755,0.47189617,0.40818718,0.35606185,0.3243889,0.31228206,0.31289345,0.3188019,0.32528356,0.33081207,0.33535293,0.33835053,0.33868554,0.33769885,0.34244463,0.3652475,0.41287604,0.47718918,0.532605,0.5538797,0.5306947,0.4757122,0.4106526,0.3570396,0.3274658,0.33047143,0.36478472,0.42003044,0.47244072,0.5008598,0.49312165,0.45638084,0.40478793,0.3561573,0.3203102,0.3019412,0.29756004,0.30150786,0.30707583,0.3102707,0.31003192,0.30781004,0.306105,0.30779982,0.3179303,0.34479496,0.39325634,0.4563439,0.51170707,0.5357464,0.5179886,0.46808898,0.4047215,0.3463181,0.30589345,0.2945377,0.31808367,0.3716195,0.43554473,0.4842391,0.50033635,0.4825803,0.4421147,0.3925935,0.34512854,0.3065772,0.27983263,0.26331708,0.25298992,0.24502994,0.2377236,0.23097354,0.22504485,0.21971686,0.21441458,0.2087642,0.20314814,0.19870599,0.19646902,0.19611134,0.19495426,0.19021423,0.18148172,0.17262103,0.16668023,0.16224581,0.1531818,0.13720839,0.12095105,0.116491325,0.1311511,0.16097696,0.1954358,0.22494888,0.24605347,0.25877777,0.26411805,0.26325646,0.25861666,0.25347158,0.2496425,0.24661072,0.24248607,0.23678635,0.2310823,0.22790289,0.2282034,0.23118989,0.2349301,0.23822093,0.24014883,0.24037808,0.2382587,0.23386379,0.23003234,0.23546918,0.26503456,0.32924852,0.42191887,0.51462644,0.57306415,0.5776865,0.5342726,0.46520117,0.394145,0.33741784,0.30086005,0.2831849,0.27834705,0.28047022,0.284839,0.28866002,0.29033718,0.28962842,0.2872296,0.28396094,0.28064874,0.27798897,0.27631965,0.27506483,0.27320656,0.27054822,0.26824212,0.26775697,0.26988253,0.27437505,0.2810003,0.28757474,0.28948608,0.27969888,0.25506645,0.21878783,0.17985322,0.14626981,0.121997535,0.10680347,0.09903332,0.09674666,0.09801226,0.10085583,0.10361274,0.105193384,0.105115645,0.10339702,0.10097271,0.102783285,0.12035463,0.17053308,0.26178285,0.3812519,0.49153343,0.5519448,0.54109067,0.46909907,0.36611125,0.2691303,0.21046865,0.21499641,0.28739616,0.40710106,0.5273666,0.60336065,0.610348,0.5583714,0.4738265,0.38840044,0.32191217,0.28341937,0.26868424,0.26858175,0.27351484,0.2785726,0.28212714,0.28418285,0.28492916,0.2846413,0.283689,0.28260115,0.28186738,0.2818254,0.28232634,0.2829907,0.28339636,0.2831367,0.28197533,0.28063414,0.28159368,0.2881323,0.30030695,0.31287047,0.31675625,0.30639124,0.28270337,0.25244996,0.22257553,0.19821852,0.18219894,0.17600243,0.17997034,0.19294216,0.21191227,0.23168935,0.24702466,0.25532034,0.25792333,0.25802037,0.25769052,0.25695637,0.25512984,0.25222644,0.24921952,0.24661452,0.24434017,0.24163848,0.23856384,0.2357058,0.23775418,0.25486287,0.30284068,0.38768503,0.4952167,0.5870577,0.62710524,0.600125,0.5238602,0.4290875,0.34549227,0.28708747,0.2558768,0.24451618,0.24436931,0.24805355,0.25160122,0.2527543,0.25117615,0.2475428,0.24383412,0.2418253,0.24247186,0.24510728,0.24802065,0.24976055,0.25040016,0.25110292,0.25273088,0.25441113,0.25563014,0.25739256,0.26288807,0.2710515,0.27579692,0.26690847,0.24146892,0.20431936,0.16672151,0.13568573,0.11385108,0.09972626,0.091953784,0.08880597,0.08861574,0.08993875,0.0922058,0.0952949,0.09884444,0.10193164,0.10509303,0.11397513,0.14160527,0.20261072,0.2989879,0.41047707,0.49966654,0.5342607,0.5036888,0.4233153,0.3228666,0.2374534,0.19935475,0.23037998,0.3279197,0.4596227,0.5735814,0.62717104,0.60729903,0.5333967,0.43859723,0.35289,0.29227236,0.25930205,0.24694003,0.24538642,0.24703668,0.24838306,0.2489112,0.24918973,0.24983875,0.25104722,0.25268483,0.25442597,0.25594124,0.257066,0.25775453,0.25807437,0.25797752,0.2574362,0.25669253,0.257233,0.26102254,0.26905593,0.27694395,0.27677178,0.26002133,0.22640626,0.18199195,0.1370808,0.098089956,0.068903886,0.051481914,0.04956213,0.066643275,0.10278829,0.15083699,0.1979958,0.23259075,0.25048336,0.25559887,0.2543265,0.2504316,0.24428247,0.23550797,0.22547896,0.21682006,0.21204023,0.21176744,0.21523158,0.22040343,0.22483337,0.2261393,0.22352026,0.21909942,0.21685605,0.22023682,0.22876734,0.23899741,0.24671036,0.2503185,0.25007614,0.24681415,0.2409699,0.23398276,0.22829063,0.22536016,0.22356556,0.21989912,0.21398918,0.2101192,0.21350111,0.22510935,0.23996,0.25122866,0.2549713,0.25170726,0.24442965,0.23644124,0.23022692,0.22682916,0.22471172,0.22038728,0.21033312,0.19482403,0.1782158,0.16777651,0.16815303,0.17915903,0.1941493,0.20520164,0.2069369,0.20115322,0.19435509,0.19365668,0.2011001,0.21353449,0.22614165,0.23647302,0.24456914,0.25021192,0.25170514,0.24715786,0.23690473,0.22363512,0.21121998,0.2025248,0.19839948,0.19753788,0.19763197,0.19677828,0.19336994,0.18660384,0.17627056,0.16475098,0.15511535,0.14965424,0.14746977,0.14710377,0.14941192,0.15743323,0.17295106,0.19216876,0.20825024,0.21500628,0.21124499,0.19900118,0.18183626,0.16363333,0.14854914,0.14033937,0.13959615,0.14313824,0.14540249,0.143093,0.13876055,0.1382916,0.14527978,0.15453309,0.15665744,0.14516497,0.124227256,0.10430024,0.09490467,0.097472586,0.106886744,0.11608877,0.12120554,0.121994816,0.120391406,0.11786932,0.11536806,0.11373348,0.11488006,0.120525695,0.13050807,0.14148279,0.14840274,0.1471092,0.13609265,0.11683529,0.09324029,0.07099597,0.055983663,0.051824603,0.05825184,0.07086521,0.08368044,0.091708034,0.09346122,0.09040622,0.085264266,0.08000863,0.07554596,0.07232975,0.07051752,0.06993475,0.069989525,0.07022608,0.07046849,0.07059548,0.07035666,0.06953219,0.06838315,0.06748229,0.06737229,0.06805169,0.06917271,0.070281066,0.071208216,0.071836986,0.07199758,0.071362466,0.06984799,0.06775131,0.06555761,0.063609086,0.062003102,0.06099953,0.06091528,0.061942797,0.06356868,0.06503215,0.06575968,0.06598332,0.06625948,0.06692534,0.0676097,0.06754516,0.06625899,0.0639903,0.0616367,0.060032543,0.05954249,0.059939843,0.060845155,0.0620165,0.06341445,0.06506159,0.06684271,0.06849057,0.06957763,0.06966037,0.06850355,0.066374116,0.064187296,0.06303916,0.06348419,0.06505835,0.06671669,0.06769106,0.06788462,0.06760934,0.06708911,0.06651094,0.06619976,0.066517405,0.06734481,0.067980416,0.06773412,0.066613965,0.06521594,0.06397953,0.0627686,0.061233073,0.059340563,0.057518523,0.05618002,0.055545017,0.055396136,0.0556034,0.05599253,0.05667114,0.05747242,0.05834418,0.05922653,0.060333338,0.06140329,0.061737936,0.060592357,0.05836979,0.056430876,0.05612108,0.057556044,0.059899554,0.062317263,0.06463904,0.067104496,0.069998324,0.07337644,0.07707134,0.0800927,0.08084721,0.07784473,0.071747236,0.06654933,0.06901348,0.085689224,0.118420996,0.16237694,0.20732142,0.24346538,0.2658011,0.27582917,0.2782928,0.27758995,0.27526486,0.27096474,0.26437864,0.25684804,0.24978381,0.2423144,0.22982748,0.20741488,0.17459333,0.13854386,0.11082068,0.10182444,0.11478742,0.14493208,0.18115026,0.21200259,0.22996801,0.23342013,0.22357792,0.20313346,0.1772424,0.15582651,0.14982861,0.16364384,0.19014566,0.21462435,0.2248509,0.2176543,0.19896813,0.17805462,0.16361912,0.1613999,0.17327113,0.19562753,0.22020704,0.23767328,0.24231802,0.23395914,0.2165333,0.19564788,0.17621316,0.16180222,0.15440206,0.1556372,0.1664029,0.1852212,0.20674057,0.22363104,0.23156945,0.23191261,0.22987323,0.22883338,0.22843087,0.22569282,0.21932583,0.20939131,0.19622056,0.17862,0.15647618,0.13370995,0.11893567,0.1212376,0.14424537,0.18263634,0.22503889,0.25969645,0.28052282,0.2873809,0.28393486,0.2734239,0.25849846,0.24243456,0.23142461,0.23157437,0.24495424,0.26607135,0.2858975,0.29723608,0.29919115,0.29493567,0.28791782,0.27885988,0.26709354,0.25293145,0.23924984,0.22936231,0.22446696,0.22148548,0.2145545,0.19780903,0.17052333,0.13982314,0.119374834,0.12032046,0.14339797,0.17747426,0.20911138,0.2312494,0.2451396,0.2544464,0.26043043,0.2630253,0.26351377,0.26572376,0.2723429,0.28283727,0.2930216,0.29804683,0.293722,0.2770699,0.2461655,0.20276769,0.15487804,0.11679494,0.102454185,0.1166563,0.15007454,0.18381979,0.20054673,0.19387911,0.17060025,0.14502558,0.13090503,0.1350624,0.15447055,0.17874224,0.19497414,0.19643663,0.18530804,0.17116706,0.1630437,0.16840422,0.19687565,0.25850686,0.35300508,0.4567902,0.53448695,0.55897397,0.53010666,0.4669311,0.3949419,0.33318233,0.2915338,0.2697313,0.26033708,0.254294,0.24642505,0.236588,0.22626452,0.21428435,0.19734533,0.17453124,0.1524718,0.14241064,0.15255553,0.18034935,0.21392824,0.23893893,0.24615984,0.23435634,0.20884638,0.17879488,0.15343015,0.14027447,0.14309405,0.16188754,0.19201988,0.22474675,0.24897404,0.25456968,0.23664548,0.19790335,0.1491166,0.104934454,0.0784949,0.07498253,0.09029331,0.11277447,0.13094957,0.13851134,0.13710718,0.13150203,0.12657137,0.1254598,0.13174069,0.14722568,0.1688,0.18641527,0.19039947,0.17933668,0.16320656,0.15635645,0.17099363,0.21608357,0.29346728,0.39327797,0.4873538,0.5451591,0.5485339,0.50513715,0.43471634,0.35842666,0.28761354,0.22758813,0.17893374,0.14235057,0.11869719,0.10878322,0.110146075,0.11727599,0.12427024,0.12833573,0.1294256,0.12817018,0.124907784,0.1210554,0.119692504,0.12353182,0.13196374,0.1398917,0.14013588,0.12770757,0.103815295,0.07615155,0.05609117,0.053565364,0.07398885,0.11495177,0.16716503,0.21613926,0.25041673,0.2648922,0.26199257,0.24502899,0.21727963,0.18296891,0.1507244,0.12964053,0.123809315,0.12934183,0.13817357,0.14307547,0.13992976,0.12786265,0.10935993,0.09082618,0.079609275,0.07885306,0.08397008,0.086977445,0.08426417,0.08176804,0.09191239,0.12844662,0.20117195,0.30903396,0.43488327,0.5454922,0.6100302,0.6134244,0.5666066,0.4919025,0.41565132,0.3542451,0.31583974,0.2975565,0.29304266,0.2946509,0.29753533,0.29844344,0.29703417,0.2948092,0.2945247,0.29713485,0.301875,0.3071777,0.3125343,0.3178902,0.3225093,0.32491335,0.32430223,0.32150963,0.31902525,0.31929123,0.32436845,0.3334752,0.34415838,0.35189685,0.35470653,0.3523397,0.3471637,0.34080085,0.33538064,0.33225086,0.33222076,0.33376944,0.3344661,0.33173403,0.32454398,0.3131238,0.30020407,0.28972718,0.2858369,0.29116234,0.3091019,0.3434917,0.39402905,0.449512,0.48970413,0.49636996,0.46483144,0.40497732,0.33625793,0.2808544,0.26124373,0.29194382,0.36981332,0.46902117,0.5513229,0.58696705,0.5671968,0.5057672,0.42686912,0.35621238,0.30976558,0.2904353,0.28894696,0.29391757,0.29867122,0.30272198,0.30698493,0.31124106,0.3142813,0.31579244,0.31675294,0.31804943,0.31942108,0.3188548,0.31469747,0.30702582,0.29874647,0.29309246,0.29183173,0.29428923,0.2993997,0.3064952,0.31439713,0.32016888,0.32019293,0.31372023,0.30347323,0.29369342,0.2862089,0.28055564,0.275799,0.27253905,0.27239695,0.27604008,0.2827154,0.29010046,0.29662013,0.3012363,0.30428517,0.30517042,0.30342713,0.29864755,0.29310355,0.28975517,0.2909216,0.29512075,0.29958633,0.30191016,0.30275974,0.30492744,0.31416762,0.33871198,0.38477615,0.44902173,0.5136831,0.5549571,0.5552811,0.5147838,0.4480765,0.37815046,0.324227,0.29667196,0.29264346,0.3019844,0.31333697,0.3212287,0.3256607,0.32935905,0.33338106,0.33664837,0.3374028,0.33587718,0.3339891,0.33413932,0.33702818,0.34216502,0.34791723,0.35311544,0.35649088,0.35799316,0.35838506,0.35965443,0.36196676,0.36255515,0.3563553,0.34118077,0.3198106,0.29857066,0.2819343,0.27073202,0.26314226,0.25768816,0.253805,0.25110918,0.2488067,0.24583495,0.2421193,0.23845504,0.23656686,0.23765482,0.2439748,0.26000234,0.29413402,0.35056618,0.4225377,0.4871956,0.5202914,0.508096,0.4582719,0.38948226,0.32557932,0.28613767,0.2877824,0.33381295,0.4109858,0.48713836,0.5313012,0.52737945,0.4839876,0.42108366,0.36075747,0.31628808,0.29297447,0.28684422,0.29033557,0.2960161,0.30086836,0.30481517,0.30859563,0.31211194,0.315075,0.3182931,0.3234094,0.3314253,0.34103832,0.34924307,0.35345313,0.35290563,0.3483634,0.34097075,0.3325854,0.3261057,0.32468715,0.3288035,0.33589235,0.34206077,0.34623334,0.34921953,0.35189924,0.35189793,0.34547982,0.32990864,0.30650845,0.2815989,0.26371384,0.25951195,0.2679418,0.28241527,0.29458106,0.30115062,0.30260667,0.30135882,0.29829475,0.29417512,0.29058114,0.29057702,0.2963748,0.30745807,0.31990644,0.32854,0.32967046,0.325098,0.32360217,0.339648,0.3817973,0.4442347,0.5031827,0.533809,0.52293056,0.4780853,0.41656876,0.35724318,0.31144238,0.283304,0.27075014,0.26905394,0.27382442,0.28131866,0.28895035,0.29450825,0.29749694,0.29856673,0.29870877,0.29833078,0.29723355,0.2959293,0.2952844,0.29619315,0.29799458,0.29929602,0.29858306,0.29645824,0.29497254,0.2975388,0.3045142,0.31326577,0.31694338,0.31115058,0.29487112,0.27334964,0.2527732,0.23811589,0.22941124,0.22312124,0.2155894,0.20610996,0.19779353,0.19447924,0.19912313,0.21237026,0.23192064,0.25296965,0.27200368,0.29287407,0.32641456,0.37985802,0.4451231,0.49801385,0.5141815,0.48378196,0.41642436,0.33218256,0.2555319,0.21148783,0.22174688,0.29033288,0.3953415,0.49346772,0.54750365,0.5439787,0.49873543,0.4369789,0.38086256,0.338228,0.30779374,0.2830001,0.26188102,0.24727069,0.24311996,0.24619335,0.24718006,0.23714888,0.21547036,0.1886105,0.165393,0.15136567,0.1492234,0.15880056,0.17826746,0.20183621,0.22173603,0.22957422,0.22195065,0.20101969,0.17463319,0.15066259,0.1352119,0.13102269,0.13970907,0.15968245,0.18566716,0.20873864,0.22216322,0.22456205,0.22081268,0.21753025,0.22002608,0.22963184,0.24437259,0.26011765,0.27367297,0.2836629,0.29055914,0.2940543,0.293504,0.28795645,0.27868724,0.26789454,0.25898874,0.25453812,0.25618413,0.26272628,0.27186856,0.28393182,0.30673918,0.3509891,0.41923037,0.49594656,0.5544567,0.57384604,0.5522168,0.50420856,0.44871172,0.3991848,0.3608632,0.33358362,0.3156797,0.3058621,0.30339456,0.30583277,0.31037915,0.31476805,0.31948575,0.32495293,0.33097216,0.3355633,0.3377237,0.33695388,0.3335376,0.3274278,0.3192346,0.3107866,0.3040358,0.3008136,0.30191526,0.3088484,0.32157943,0.3377219,0.35149696,0.3579965,0.35590425,0.3478742,0.3371426,0.3256335,0.3143871,0.30490384,0.29919216,0.29809526,0.30063382,0.3042269,0.30708933,0.30906436,0.31136474,0.31584418,0.3257781,0.3480834,0.38820562,0.44315425,0.49538246,0.52309614,0.5131847,0.47052002,0.41110823,0.35452497,0.3180537,0.31696767,0.35724255,0.42968225,0.5076596,0.56189996,0.5745391,0.5476877,0.49604154,0.4388623,0.39116028,0.36050227,0.34478283,0.33738157,0.33273414,0.3301746,0.33053312,0.33352366,0.3370295,0.3400445,0.3452022,0.35916552,0.3898854,0.43766734,0.49140406,0.5305993,0.54034704,0.5182324,0.4751402,0.4253458,0.38159898,0.35207215,0.3388288,0.33781925,0.34103522,0.34283224,0.3419354,0.3405986,0.34030533,0.34094056,0.34276775,0.34977385,0.36906204,0.40494204,0.4518691,0.49438906,0.51543516,0.507019,0.47325602,0.42680672,0.38307074,0.35679913,0.35896826,0.39082828,0.44079605,0.48678455,0.5082343,0.49637225,0.45786563,0.40840662,0.36539522,0.34295034,0.35090414,0.38956335,0.44762173,0.5011751,0.5277055,0.515238,0.4704266,0.40866134,0.34720466,0.29585585,0.25811467,0.23184331,0.21427073,0.20361038,0.19954662,0.20093209,0.2051593,0.20941411,0.21258177,0.2153169,0.2176189,0.21768345,0.21253224,0.20169681,0.18763264,0.17430238,0.16228521,0.14907922,0.13131922,0.11165313,0.098369636,0.10288026,0.12940569,0.1726855,0.21823521,0.2535446,0.2725953,0.27856407,0.27655938,0.27080193,0.2622166,0.25112435,0.23791844,0.22299546,0.20664817,0.18899561,0.17192143,0.15769243,0.14794593,0.14134033,0.13616173,0.13298345,0.13609962,0.14857757,0.16790394,0.18551071,0.19420116,0.19347697,0.18918423,0.1882693,0.19720536,0.22468412,0.27828237,0.35533822,0.4354479,0.49041304,0.5016256,0.47225165,0.42127788,0.3706136,0.33329704,0.31155705,0.2995189,0.2896264,0.27599165,0.25617644,0.22993283,0.19893426,0.16584504,0.13436936,0.10820355,0.09032308,0.08087882,0.076800816,0.07339186,0.06871895,0.06574011,0.07020235,0.08462817,0.10585477,0.12672774,0.14255698,0.15251742,0.16016173,0.1691838,0.18295014,0.20132124,0.2209854,0.23623274,0.24313642,0.2421482,0.23710865,0.23231983,0.22965862,0.2290991,0.22964735,0.23092635,0.2328772,0.23570202,0.23851009,0.23969318,0.23747338,0.23224299,0.2259445,0.22061807,0.21610652,0.21128409,0.20591755,0.20091389,0.19740218,0.19792826,0.21123177,0.25122085,0.3256495,0.4225475,0.51047814,0.5587333,0.556314,0.51680154,0.46333125,0.41514146,0.38033953,0.35843953,0.3442286,0.33185625,0.3180368,0.302696,0.2881358,0.27668265,0.26924023,0.26496685,0.26165405,0.2574534,0.25211132,0.24776323,0.2468335,0.24890774,0.24961387,0.24265854,0.2252465,0.2022384,0.18839903,0.20423073,0.26288623,0.35732242,0.4560624,0.5227735,0.53580093,0.5019213,0.4431658,0.38474643,0.340318,0.31331438,0.2975452,0.28673747,0.27740625,0.27053842,0.2657913,0.26111063,0.25443518,0.24748777,0.24393709,0.24609189,0.25334963,0.26365447,0.2752616,0.28644463,0.29536566,0.30078706,0.3026664,0.3029846,0.30651197,0.322876,0.3625754,0.42741323,0.5024508,0.55983347,0.5767157,0.54759324,0.48786154,0.4197601,0.36294582,0.3241391,0.30020675,0.28194907,0.26353645,0.24476166,0.22940941,0.2208846,0.22015595,0.22581667,0.23316152,0.23593682,0.23054321,0.22168006,0.21928579,0.22982724,0.24791741,0.26111785,0.25974604,0.24573575,0.23048468,0.23014598,0.2584602,0.319565,0.4022393,0.48151264,0.5325838,0.543263,0.51948684,0.47664726,0.43194613,0.397181,0.37826386,0.3738835,0.37848175,0.3845676,0.38707054,0.38428292,0.37823784,0.37181684,0.36748767,0.36593565,0.36797273,0.373932,0.38303217,0.39123428,0.3928686,0.384163,0.36556172,0.3409035,0.31592223,0.29930726,0.30507353,0.34506702,0.4182162,0.5007705,0.55974793,0.5713919,0.53783447,0.47949716,0.42175746,0.3802772,0.35921645,0.3531908,0.35416773,0.35526845,0.35345602,0.34776652,0.3373947,0.32096314,0.29786798,0.27130008,0.24696559,0.23080808,0.22384255,0.22319962,0.22355962,0.22136788,0.21467453,0.20369707,0.19027269,0.18061318,0.1863097,0.22099124,0.28884497,0.37665442,0.45697317,0.5057494,0.5144705,0.4922435,0.45480248,0.4172468,0.3888159,0.3727168,0.3663795,0.3636601,0.35788715,0.3440971,0.32103345,0.29195836,0.263136,0.24133353,0.22982691,0.22794902,0.23084502,0.23329663,0.23156542,0.22582443,0.21784997,0.2094314,0.20014487,0.19167845,0.1917156,0.21729268,0.28096417,0.37814924,0.47732952,0.542535,0.5521254,0.5150294,0.4539905,0.3942224,0.3496213,0.3260794,0.32103437,0.32886967,0.3430505,0.35902038,0.37314832,0.38182366,0.38119987,0.3687655,0.34369847,0.30851662,0.26873577,0.2331186,0.20869154,0.19764365,0.19592708,0.19828452,0.2022201,0.20967048,0.22558604,0.2567352,0.30860892,0.37970737,0.45679763,0.5187242,0.54794055,0.54055804,0.50685626,0.46290085,0.42259565,0.39275423,0.37445298,0.36457348,0.3599045,0.35749647,0.35617116,0.35518333,0.35531446,0.35671636,0.35856327,0.3579835,0.35359493,0.34688058,0.3420266,0.34135413,0.34350947,0.34489307,0.34339276,0.3403221,0.34022632,0.35038865,0.37899563,0.428579,0.49035922,0.5436666,0.56880164,0.557608,0.5185928,0.46813703,0.42399612,0.39922473,0.40160906,0.42899656,0.46995702,0.5066323,0.5255771,0.5224176,0.5025968,0.47452495,0.44710794,0.4282111,0.425845,0.44281363,0.47463313,0.5076606,0.5287073,0.5298333,0.5138358,0.488561,0.46470037,0.45094296,0.45387402,0.47430706,0.50576824,0.53525656,0.549685,0.54345125,0.5197075,0.48724344,0.454769,0.4311297,0.4243087,0.43940768,0.47215393,0.5089628,0.5327056,0.5338881,0.51324564,0.4792407,0.44104123,0.40863857,0.39297926,0.40419766,0.4426194,0.49428272,0.53459865,0.54367596,0.51522416,0.4594685,0.393276,0.33632842,0.30503485,0.31143346,0.3553343,0.42233276,0.48674843,0.5236537,0.51907915,0.47304043,0.39610502,0.30402485,0.21527402,0.14765875,0.1145945,0.11857741,0.1490136,0.18459518,0.20487012,0.19995028,0.17528029,0.1442015,0.11937941,0.10698542,0.10848951,0.12262207,0.14521469,0.1674921,0.17877375,0.1729285,0.15329993,0.12995182,0.1116471,0.10032496,0.09301329,0.08853284,0.091707624,0.10983608,0.14573462,0.19227059,0.23666453,0.26738438,0.2802556,0.27687362,0.26157215,0.24085619,0.22213559,0.21192528,0.20883238,0.20508642,0.1906197,0.16281004,0.12772925,0.09780768,0.08515977,0.095447995,0.12397563,0.15595388,0.17507906,0.17303805,0.15433426,0.13271944,0.12606372,0.15381794,0.2298141,0.3507903,0.4873198,0.59538203,0.6408228,0.6188536,0.55177873,0.47192922,0.4058286,0.36618695,0.3524281,0.35502234,0.36313713,0.3699231,0.37361392,0.37492767,0.37547275,0.37713018,0.3820348,0.390388,0.400455,0.40893686,0.41388384,0.4145985,0.41177654,0.40667808,0.40155533,0.39934242,0.4024411,0.41163722,0.42482987,0.43645188,0.43936634,0.42930564,0.40968987,0.3893403,0.37635258,0.37274918,0.37642595,0.38497373,0.3964192,0.40751863,0.41373298,0.4127392,0.40584943,0.3963125,0.38577178,0.37446126,0.36479172,0.36386275,0.38279614,0.4268272,0.48940387,0.54827225,0.58093333,0.57465404,0.53634316,0.48134473,0.4286774,0.39297798,0.38770553,0.41745925,0.4746469,0.5361425,0.5766122,0.58110833,0.552537,0.5042806,0.45113495,0.403237,0.36612403,0.34179416,0.33100748,0.334738,0.35262588,0.38056052,0.4088713,0.42845944,0.43445602,0.4292617,0.416779,0.40015522,0.38104627,0.36214253,0.34758338,0.33946666,0.33697793,0.33638477,0.33570334,0.33599225,0.3412619,0.3536475,0.3694365,0.37938142,0.37530768,0.35748947,0.33463934,0.3173594,0.3101275,0.31052396,0.31295955,0.3150594,0.31888223,0.32816994,0.3428682,0.35794747,0.3675829,0.36954466,0.36580503,0.35835114,0.34763512,0.33391973,0.32031643,0.31178188,0.31148216,0.3178668,0.32626697,0.33238873,0.33473969,0.33543324,0.34088874,0.36236516,0.4080346,0.47456124,0.5410672,0.5830009,0.58507377,0.55189323,0.49873903,0.44431648,0.40155163,0.37681425,0.36829162,0.36953735,0.37390295,0.37790355,0.3810155,0.38329402,0.3848832,0.3861767,0.38835552,0.39228702,0.39793435,0.40438166,0.41056767,0.41574386,0.41929105,0.4211351,0.4218478,0.4232533,0.4271516,0.43414485,0.4408444,0.4409058,0.4275858,0.40060472,0.36693892,0.33774093,0.3197591,0.31255367,0.31099734,0.31102315,0.31228873,0.3160638,0.32231867,0.32855746,0.3318769,0.33197448,0.3313601,0.33388743,0.34296593,0.36291876,0.399195,0.4528493,0.51461095,0.5641112,0.58216953,0.56036025,0.5063329,0.43704757,0.37503377,0.34123322,0.35040522,0.40124834,0.47524738,0.54176885,0.5754013,0.5666378,0.5254373,0.47031617,0.41991687,0.38558412,0.3714591,0.3737527,0.3844272,0.39466605,0.39973187,0.39946437,0.39657453,0.39321926,0.38950178,0.38477778,0.37969923,0.37736097,0.38112855,0.3920728,0.40773678,0.42343748,0.43520832,0.44094956,0.4420136,0.44159412,0.44447997,0.45135364,0.45871517,0.45890084,0.44944263,0.43382588,0.42037168,0.41329142,0.41100538,0.40751538,0.39735326,0.3802223,0.3617109,0.35074624,0.35207677,0.36318943,0.37698266,0.3875606,0.3938185,0.39908922,0.41137865,0.43942943,0.48504758,0.53684837,0.5736123,0.57881266,0.5488035,0.49504104,0.4344714,0.38707066,0.36880192,0.3894231,0.44336534,0.51112413,0.56465787,0.582937,0.5600143,0.50660247,0.44099832,0.381577,0.3402762,0.3212076,0.32038295,0.32990316,0.3422602,0.35356507,0.36292315,0.3702124,0.37542832,0.37873235,0.3814075,0.38464436,0.3884714,0.39132413,0.39154944,0.38928023,0.386844,0.38652372,0.3890411,0.39341903,0.3999108,0.41002437,0.4226474,0.43130907,0.42549244,0.40110207,0.3628527,0.32261765,0.28723145,0.25753585,0.23093222,0.20996971,0.20054565,0.20696783,0.22560687,0.24737214,0.2637401,0.2722862,0.27571583,0.27899197,0.288496,0.31396013,0.36384428,0.4362205,0.51150435,0.5621955,0.56871223,0.5316244,0.46695554,0.39805055,0.34686455,0.33223748,0.3623639,0.4301344,0.5094139,0.5680914,0.5833102,0.55435735,0.49734962,0.43469134,0.38347256,0.35250452,0.34142923,0.34446597,0.35430905,0.36604598,0.37753546,0.38799492,0.3970329,0.40421245,0.4091046,0.4114838,0.41182014,0.41146627,0.41210803,0.41488978,0.420494,0.42861935,0.43782106,0.4450208,0.4476161,0.44603285,0.4439772,0.44428217,0.4450723,0.44088626,0.42938367,0.41398743,0.4012483,0.3938634,0.38977778,0.38516888,0.37879166,0.37290993,0.37100622,0.3753003,0.38436738,0.39407945,0.3999339,0.399725,0.39599666,0.39612842,0.4123739,0.45203018,0.51056033,0.5664746,0.5968364,0.588667,0.5477319,0.48797095,0.42689243,0.38085803,0.3671113,0.39448527,0.45581904,0.5250919,0.5724843,0.58048016,0.5521939,0.5041107,0.45485887,0.41750434,0.39681253,0.390911,0.39378318,0.40025565,0.40693888,0.41328585,0.4185597,0.42289582,0.42624786,0.4317625,0.44430915,0.46915007,0.5044596,0.5406234,0.56250054,0.5603463,0.53340834,0.49143553,0.44807267,0.41826627,0.41295266,0.43649378,0.48141256,0.5306352,0.56257623,0.5637539,0.53310055,0.4831539,0.4303837,0.38986298,0.36843726,0.3659495,0.37558874,0.38967586,0.40147617,0.40866956,0.41163746,0.413144,0.415468,0.42122123,0.4343817,0.46076035,0.5019173,0.5494778,0.5850921,0.59286356,0.56865543,0.5227807,0.46986485,0.42444775,0.39748636,0.39852133,0.42850104,0.47795033,0.5261135,0.55400056,0.5508006,0.51994807,0.4718615,0.4217107,0.3811542,0.35635582,0.34337196,0.33387467,0.3211368,0.30557695,0.29214787,0.28494832,0.2840658,0.28520826,0.2832457,0.2742703,0.259701,0.24447419,0.23471992,0.23065235,0.22759198,0.21983443,0.20779514,0.19622265,0.18759178,0.17807186,0.16239633,0.14294457,0.1308801,0.13734598,0.16415381,0.2024716,0.24156415,0.2744219,0.29929492,0.31546348,0.32260397,0.32153234,0.31478634,0.30569768,0.2962277,0.2872803,0.27867076,0.26985037,0.2597737,0.24740218,0.23328032,0.21929412,0.20830874,0.20158274,0.19884823,0.19816418,0.19768934,0.1963157,0.1941068,0.1913132,0.18729167,0.18082236,0.17189653,0.1630841,0.15834995,0.15997525,0.16649015,0.1734544,0.17668611,0.17493324,0.17015807,0.16515498,0.16106737,0.1568269,0.15090333,0.14316197,0.1349802,0.12785135,0.1223132,0.118158646,0.11506689,0.11279229,0.11096557,0.10924476,0.10753154,0.105849445,0.10406334,0.10179638,0.09938294,0.09807555,0.10027102,0.10696512,0.11694923,0.12557767,0.1284494,0.12308098,0.111328475,0.096914224,0.08396403,0.07466511,0.069523565,0.067704655,0.067981385,0.06896981,0.06939042,0.06831566,0.06569241,0.062255576,0.059127063,0.05712748,0.05667763,0.057817016,0.060192097,0.06292728,0.06474853,0.06472548,0.062790446,0.05983666,0.057054576,0.05586459,0.05829498,0.0672612,0.08485386,0.10980192,0.13641842,0.15738112,0.16808166,0.16883934,0.16337858,0.15561157,0.14789473,0.1411288,0.13566388,0.13182002,0.12966599,0.12887628,0.12856244,0.12789957,0.12657848,0.1250341,0.12408019,0.12435629,0.12604637,0.12857527,0.13085276,0.13172187,0.13065071,0.12767626,0.12289896,0.11680766,0.111080766,0.10948077,0.114776514,0.12643133,0.13860236,0.1455794,0.14494552,0.14013912,0.13557018,0.13404295,0.13500214,0.13689148,0.13851398,0.13963412,0.14042455,0.14090057,0.14088468,0.1400755,0.13853832,0.13685499,0.13580914,0.13549572,0.1345049,0.13071789,0.12256836,0.11067795,0.09720539,0.0849416,0.075490795,0.069383375,0.066506624,0.06760451,0.07397431,0.08636189,0.10337404,0.12217977,0.1398199,0.15424646,0.16348685,0.16596402,0.16121632,0.15121593,0.13904773,0.12762101,0.1182278,0.11124986,0.106288135,0.10286974,0.10026751,0.098145716,0.09636334,0.09487585,0.09327203,0.091083705,0.088366605,0.08575225,0.08391441,0.082859874,0.08214358,0.081521325,0.08168615,0.08426788,0.091194,0.10256789,0.115600646,0.12464624,0.12514405,0.11574889,0.099565,0.081093214,0.06469092,0.05283845,0.04646914,0.044888366,0.04643996,0.049079005,0.051010814,0.051180955,0.04950942,0.046785027,0.044131234,0.04242541,0.04205442,0.04289572,0.044454094,0.045928333,0.046562273,0.046017423,0.044574115,0.04286906,0.041751545,0.042843577,0.049231663,0.064561926,0.08976302,0.12027643,0.14712352,0.16245832,0.16422962,0.15653098,0.1454425,0.13544743,0.1281854,0.123500615,0.1204656,0.11820853,0.116270505,0.11478556,0.11410885,0.114340454,0.11504399,0.11542818,0.11491717,0.113604896,0.11230143,0.11195558,0.11282253,0.114215344,0.11478724,0.11345315,0.10993227,0.105384804,0.10225278,0.10307541,0.10802334,0.11356758,0.114030875,0.10552132,0.08856539,0.06756677,0.04781468,0.032828953,0.02344017,0.018408084,0.015860107,0.014320924,0.013134322,0.012114705,0.011229386,0.010442554,0.009743425,0.009231036,0.009110858,0.009674575,0.010851953,0.012096378,0.012430012,0.0113843195,0.0092434855,0.0069835423,0.005312219,0.0046861465,0.0055661965,0.009094225,0.01605791,0.025927773,0.03590862,0.042829078,0.04471923,0.04225986,0.037398335,0.032190938,0.027667379,0.024135098,0.02145849,0.019428648,0.017868744,0.016700314,0.015895763,0.015399002,0.015076473,0.014773193,0.014385848,0.013906333,0.013378732,0.012845469,0.012315072,0.01177694,0.011221264,0.0106494175,0.010069232,0.0094955815,0.008941408,0.008417952,0.0079238275,0.0074618193,0.007035665,0.006649837,0.006287683,0.005918607,0.0055124178,0.0050588385,0.004570422,0.0040774993,0.003621551,0.0032350204,0.0029301185,0.0026880559,0.0024805125,0.0022794353,0.0020756111,0.0018715138,0.0016817809,0.0015194836,0.0013908095,0.0012894616,0.0012022369,0.0011174855,0.0010314415,0.0009472901,0.0008700288,0.0008020213,0.00074284984,0.0006911825,0.0006457893,0.00060558505,0.000568503,0.0005324758,0.00049575797,0.00045790322,0.0004193869,0.00038182782,0.00034782026,0.00032014973,0.00029963287,0.00028420755,0.00026967513,0.0002527775,0.00023230795,0.00020913004,0.00018464033,0.00016064759,0.00013879304,0.0001201895,0.00010467754,9.158181E-05,8.0343605E-05,7.104279E-05,6.3663305E-05,5.7913818E-05,5.311232E-05,4.8636924E-05,4.402219E-05,3.9155722E-05,3.413173E-05,2.9109551E-05,2.411585E-05,1.9391186E-05,1.5626205E-05,1.3874642E-05]