[0.036740795,0.04525951,0.06164339,0.0775517,0.086473525,0.087458014,0.08374673,0.080434464,0.08129847,0.0875672,0.09710792,0.10601064,0.11076936,0.110480696,0.10669533,0.102078564,0.09868009,0.09726441,0.09731022,0.09778405,0.0977382,0.096826196,0.09524704,0.093948305,0.094346605,0.09774362,0.104086526,0.11169857,0.1179213,0.120638885,0.11902682,0.11366701,0.10588881,0.09720122,0.08864979,0.08059339,0.072803624,0.06526462,0.05887785,0.05563171,0.057369065,0.06426794,0.07418152,0.08387867,0.09096623,0.094791256,0.095917664,0.095120646,0.09308816,0.09041413,0.08748511,0.08419961,0.080173425,0.07521997,0.06995128,0.06585719,0.06504807,0.06890503,0.07683433,0.08570091,0.09160168,0.09197858,0.08732966,0.08054677,0.07555086,0.074853025,0.07841312,0.08347341,0.086956225,0.08731565,0.0854727,0.08322837,0.08207747,0.082354225,0.08364654,0.08496874,0.08538997,0.08431553,0.08195152,0.07905147,0.07688286,0.07649354,0.07834981,0.08166069,0.08508127,0.08730174,0.08801979,0.08757159,0.08686134,0.08660674,0.08730051,0.0885852,0.08975372,0.08998832,0.08915303,0.08761839,0.08610388,0.085264,0.085270524,0.08562997,0.08506382,0.08226105,0.07674465,0.06970129,0.06399589,0.06242801,0.06606608,0.07269356,0.07883803,0.08156339,0.08076891,0.07793984,0.07538905,0.07454442,0.07609609,0.07948244,0.0836597,0.08736849,0.090056,0.09174025,0.09313512,0.09497961,0.09768769,0.100467674,0.101596326,0.09895735,0.09170217,0.081131734,0.07128369,0.06692686,0.07097573,0.08175189,0.09438681,0.10373351,0.10786996,0.107869945,0.10630607,0.1050719,0.10486258,0.10521955,0.10516886,0.103818834,0.10098216,0.09736607,0.09420305,0.092524074,0.092530005,0.09363887,0.09483283,0.09519977,0.094176225,0.09189043,0.089506,0.08881047,0.0912075,0.09614694,0.101403676,0.10430098,0.10379923,0.10069189,0.09694346,0.09419314,0.09332488,0.09432366,0.09681657,0.10011264,0.10339973,0.10569197,0.10613272,0.1044827,0.10126635,0.097747475,0.095015265,0.09359496,0.09313128,0.09303892,0.09298111,0.093083926,0.09370127,0.09488413,0.09626022,0.09701866,0.096427776,0.09423906,0.091109514,0.088466585,0.08782772,0.089785345,0.09337238,0.09629133,0.0960517,0.09145638,0.08398742,0.07743376,0.07582576,0.08033192,0.08865119,0.09694456,0.10280929,0.10614131,0.10811937,0.11000984,0.112598814,0.116228126,0.120510735,0.124673806,0.12775053,0.12916242,0.12849021,0.12569731,0.1211769,0.11602024,0.111637674,0.1089977,0.10820472,0.10852317,0.10910878,0.10941131,0.109390475,0.10933725,0.109518446,0.11004544,0.11057308,0.11079001,0.110484235,0.110105745,0.11021188,0.11139188,0.113647826,0.116749436,0.12010234,0.1232695,0.12591432,0.12823357,0.13048954,0.1327789,0.1346103,0.13538058,0.13487256,0.13355075,0.13233383,0.13211568,0.13334282,0.13575722,0.13844156,0.14034845,0.14074598,0.13954006,0.13703002,0.13381201,0.13059841,0.12808467,0.12658037,0.12584738,0.12524435,0.12439117,0.123634845,0.12432194,0.12772624,0.13410145,0.1417666,0.14844681,0.15251286,0.15413998,0.15442044,0.15438871,0.15438293,0.15436421,0.15456055,0.15536344,0.15681534,0.1579845,0.15739691,0.15405142,0.14820163,0.14126599,0.13498059,0.1306689,0.12864463,0.12838995,0.12888761,0.12966457,0.13085431,0.13323136,0.13710198,0.14250495,0.1490689,0.15663548,0.16460739,0.17163223,0.17578356,0.17567457,0.17179473,0.16604626,0.16063641,0.1563436,0.15283597,0.14947751,0.14641498,0.1443028,0.14356269,0.14399575,0.14493363,0.14575161,0.14587992,0.14491083,0.14274861,0.13989903,0.1372375,0.1353452,0.13408147,0.13303679,0.13236251,0.13324542,0.13682133,0.14301036,0.14965273,0.1538409,0.15335256,0.1480418,0.13958287,0.13080549,0.12444117,0.12198412,0.12304095,0.1258633,0.12864345,0.13047476,0.13125391,0.13110663,0.13009727,0.12842895,0.12659447,0.12518445,0.12451124,0.124490015,0.12490936,0.12576033,0.12728006,0.12959339,0.13246232,0.13532697,0.13755466,0.13870977,0.13849227,0.13705641,0.13477403,0.13246922,0.13056977,0.12932093,0.12829772,0.12741596,0.12672341,0.12708627,0.12908876,0.13295914,0.13753055,0.14131886,0.14292912,0.14237781,0.140477,0.13865942,0.13809426,0.13954587,0.14295864,0.14730644,0.15123397,0.153612,0.154235,0.15314247,0.15045829,0.14619064,0.14090449,0.13560443,0.13126147,0.12806976,0.12560353,0.12334908,0.121435724,0.12036681,0.12075535,0.12252301,0.12509653,0.12732667,0.12831748,0.12782212,0.12691012,0.12738867,0.13066453,0.13637722,0.14252245,0.14668198,0.14757006,0.14532866,0.14096542,0.13541867,0.12931891,0.12302754,0.11696812,0.11160786,0.107562244,0.10537663,0.10537537,0.10721617,0.11004143,0.112798125,0.11491952,0.11619458,0.11672925,0.1166373,0.116446525,0.11682073,0.11836196,0.120868765,0.12354934,0.1254201,0.1262788,0.12688965,0.1285025,0.13177547,0.1362959,0.14100604,0.14500035,0.14781533,0.14951201,0.15045542,0.15139736,0.15257852,0.15366368,0.15354367,0.15166868,0.14810582,0.14394186,0.14031975,0.13825269,0.13765751,0.13773851,0.13727687,0.13580441,0.13341649,0.13086556,0.12907149,0.12905158,0.13117541,0.13472873,0.13825859,0.14018963,0.13946529,0.13573973,0.12999089,0.12450085,0.121572115,0.1218865,0.123825036,0.12533605,0.1254206,0.12494699,0.1250395,0.1262874,0.12808676,0.12950934,0.12967919,0.12845986,0.12633769,0.124287255,0.12325623,0.12402085,0.12697783,0.1319662,0.13800304,0.1435612,0.14714627,0.14806859,0.14667694,0.144311,0.14252782,0.14249851,0.14438778,0.14777656,0.15184341,0.15595256,0.15961486,0.16285963,0.16594957,0.1690622,0.17202735,0.174473,0.17623644,0.17719851,0.17749946,0.17752379,0.17817755,0.18023594,0.1838286,0.1881146,0.19173332,0.19348955,0.1930796,0.19122405,0.18918705,0.18795317,0.18809755,0.1898983,0.19333504,0.19762927,0.20150985,0.20415457,0.20576328,0.20716806,0.20872413,0.21070771,0.213697,0.2194887,0.22946273,0.24390435,0.26114425,0.2787648,0.29395044,0.30398324,0.30695486,0.30260548,0.2925261,0.27968907,0.26825958,0.2629598,0.2664996,0.2770268,0.288417,0.2940281,0.29016504,0.27752793,0.25981867,0.24237905,0.22866149,0.2192775,0.21110874,0.20079726,0.18658853,0.17059505,0.15846078,0.15681387,0.16941948,0.1928062,0.21810113,0.23472409,0.23692189,0.22471642,0.20417403,0.1833083,0.16995378,0.16749682,0.17546456,0.18888782,0.2027822,0.21350522,0.2228478,0.23463173,0.25171638,0.27117956,0.28700387,0.2930806,0.2872195,0.2714442,0.25304064,0.24062872,0.23953462,0.24609251,0.25164032,0.248556,0.23642258,0.21983676,0.20495014,0.19648439,0.19674708,0.2054839,0.2191671,0.23319037,0.2433605,0.24869733,0.25110886,0.2542393,0.26036015,0.2684358,0.275228,0.27778924,0.2753931,0.2686198,0.25786778,0.24345207,0.22667824,0.21121001,0.20167373,0.20110162,0.20842816,0.21958835,0.23063456,0.23971677,0.24566221,0.24683945,0.24265718,0.23551446,0.22979017,0.2280683,0.23083697,0.2374626,0.24781144,0.2600038,0.27015755,0.2735531,0.26739565,0.25184077,0.23017807,0.20771156,0.18997514,0.17941184,0.17502253,0.1731813,0.1712681,0.1680515,0.16427122,0.16100653,0.15951927,0.15992431,0.16122258,0.16162531,0.16082257,0.16117986,0.16804111,0.1855488,0.21290314,0.24207348,0.2631384,0.27048007,0.26653823,0.25803584,0.25041878,0.24469507,0.23849738,0.22960772,0.2183847,0.20910071,0.2071201,0.21594071,0.23354621,0.25422272,0.2708167,0.27886894,0.27707013,0.26830158,0.25749928,0.24972546,0.24649324,0.2459826,0.24550857,0.24480937,0.24687065,0.25414678,0.26602122,0.27689087,0.281487,0.27839264,0.27202523,0.2672495,0.26508185,0.26197028,0.25377214,0.24029101,0.22576635,0.21651608,0.21510108,0.21858232,0.22025116,0.21553685,0.20491819,0.19270879,0.18507783,0.1869144,0.20019098,0.2208329,0.2397397,0.24772753,0.24025764,0.22068165,0.19654883,0.17771797,0.1706378,0.17774212,0.19554953,0.21819377,0.23857896,0.2508873,0.2514406,0.24140991,0.2261673,0.2129352,0.20605831,0.2067653,0.21220322,0.21764916,0.2169922,0.20842068,0.19477808,0.18215312,0.17388576,0.17178445,0.17778611,0.19426261,0.21908814,0.24461587,0.26288795,0.27167198,0.27431497,0.27407035,0.26949453,0.25715902,0.23637187,0.21422207,0.20056342,0.20218752,0.21586968,0.23280706,0.24515758,0.2519479,0.2574093,0.26573345,0.27714503,0.28643206,0.28662273,0.27470404,0.25609556,0.24176951,0.23996128,0.24991417,0.26421818,0.27564505,0.28246748,0.28678158,0.29110715,0.29535547,0.29778028,0.29664144,0.2916484,0.28356728,0.27269584,0.25815165,0.23866321,0.21546638,0.19448514,0.18511756,0.19408287,0.21937746,0.24980505,0.27302194,0.28327706,0.28360513,0.28013608,0.27711114,0.27543488,0.27454582,0.2740296,0.2735463,0.27209592,0.2671774,0.2565845,0.24104787,0.2260168,0.21786208,0.21911259,0.22630046,0.23398165,0.23978758,0.24618995,0.2584739,0.27993324,0.30872342,0.3361195,0.35033917,0.34211123,0.31158897,0.26964763,0.23464288,0.22246867,0.23804145,0.27146694,0.30565324,0.3269237,0.33236313,0.32706833,0.317469,0.30685863,0.29537678,0.28239763,0.26757255,0.25142395,0.23499249,0.21976073,0.20719524,0.19796759,0.19138187,0.1849026,0.17550653,0.16141285,0.14401872,0.12775637,0.118716806,0.121546485,0.13623486,0.15653758,0.17273547,0.17736681,0.16952507,0.15453741,0.13998528,0.1319089,0.13224679,0.1385215,0.14507653,0.14673807,0.14182319,0.13349277,0.12788796,0.13100673,0.1447984,0.16511746,0.1832385,0.19102834,0.18609601,0.17347442,0.16288878,0.16338444,0.17802255,0.2026643,0.22976017,0.25417614,0.27461794,0.29132643,0.30398786,0.3128444,0.3195274,0.32497546,0.32775685,0.32488245,0.31560528,0.3025907,0.2910944,0.2857075,0.28814888,0.29616502,0.30488926,0.31010613,0.3106674,0.30846274,0.30580476,0.30343226,0.30069563,0.29656634,0.29071563,0.28308424,0.2742045,0.26495132,0.2568848,0.25167397,0.24983394,0.24979468,0.24751441,0.23955655,0.22478849,0.20633745,0.18880601,0.17742585,0.17449085,0.1790698,0.18555714,0.18773581,0.18153764,0.16844256,0.15354516,0.14404075,0.14413358,0.15320738,0.16382772,0.16809714,0.1616707,0.14844573,0.1364976,0.13541757,0.1502604,0.17959642,0.214476,0.24409394,0.26148018,0.26736715,0.26741806,0.26866683,0.27468953,0.28510574,0.29501796,0.29987606,0.29729787,0.2893283,0.27924773,0.2704887,0.26463476,0.26151884,0.25849548,0.25214234,0.23983419,0.221891,0.20076048,0.18083356,0.16606373,0.15901126,0.15815288,0.15949668,0.15808675,0.15212174,0.14273843,0.13428354,0.13037215,0.13267206,0.1381268,0.14246058,0.14172536,0.13631904,0.12888272,0.12412863,0.12474149,0.13086337,0.13830207,0.14242077,0.1403187,0.13394971,0.12781097,0.1278833,0.13710733,0.15423907,0.17189522,0.18226303,0.18071537,0.16988589,0.15555598,0.1441452,0.1386951,0.13913153,0.14187157,0.14275561,0.13914283,0.13188878,0.12383514,0.11845224,0.11761441,0.12142265,0.12731771,0.13225181,0.1337049,0.13214451,0.12995695,0.13131219,0.13905174,0.1530578,0.16838163,0.17835031,0.17828916,0.16915126,0.15653552,0.14864446,0.15226482,0.16954291,0.19513197,0.21862207,0.23005527,0.22612154,0.21095395,0.19321488,0.18121795,0.17927867,0.18595737,0.19508134,0.1998338,0.1965893,0.18688299,0.17537218,0.16728632,0.16503799,0.16760921,0.17067403,0.17031671,0.16490567,0.15725207,0.1521628,0.15486355,0.16626815,0.18258476,0.1958099,0.2003199,0.19529688,0.18583141,0.17785828,0.17670397,0.18392237,0.19788736,0.21226698,0.22054209,0.21857779,0.20814931,0.19350249,0.17945647,0.16851743,0.16188633,0.15909533,0.15900272,0.15994327,0.16088413,0.16134745,0.16155976,0.16178082,0.16252929,0.16376413,0.165145,0.16562815,0.16483341,0.16309643,0.16179176,0.16184793,0.16335756,0.16553377,0.16779602,0.1705653,0.17682828,0.1926275,0.22545195,0.27570274,0.33296418,0.37772623,0.39819893,0.39552912,0.38327345,0.37086058,0.3617547,0.35348853,0.34680882,0.34313813,0.3438424,0.34651732,0.348722,0.34893188,0.34771895,0.34409127,0.33531585,0.31827983,0.293457,0.2637499,0.23258787,0.20211135,0.17617911,0.15970547,0.15568565,0.1604014,0.16607185,0.16615464,0.16034259,0.15225634,0.14565329,0.14069848,0.13554521,0.12888096,0.12263765,0.121730566,0.13276748,0.16228805,0.21227469,0.2746451,0.33096206,0.36234418,0.3641807,0.34793785,0.3325288,0.32880163,0.33802095,0.35328975,0.3676858,0.3752077,0.3738524,0.36300448,0.343412,0.31630835,0.28653133,0.26104876,0.24616486,0.2425402,0.24766527,0.2586379,0.27636543,0.3023692,0.33621666,0.37054434,0.39434826,0.3981198,0.38263842,0.3566679,0.33147445,0.31274393,0.30216393,0.29899588,0.3021244,0.3087581,0.31603214,0.3231641,0.33125564,0.34104547,0.34848073,0.34675047,0.32958952,0.2993273,0.2657392,0.24137972,0.23237382,0.23752607,0.25212738,0.27204838,0.29384074,0.3127527,0.3243878,0.32637608,0.31997752,0.3083042,0.2951131,0.28409138,0.2791874,0.28461632,0.30090198,0.32226804,0.33815297,0.34389818,0.34428623,0.34808362,0.35462996,0.35568276,0.34480163,0.32786542,0.31614247,0.3175223,0.32864702,0.3405206,0.34349278,0.33559525,0.32103017,0.3081181,0.30193076,0.3027997,0.30627915,0.30596086,0.29716423,0.28007796,0.26188818,0.2531751,0.26267812,0.29274276,0.3366309,0.3804973,0.40666458,0.40571964,0.3808229,0.34779882,0.3204918,0.30485794,0.29686773,0.291831,0.2865571,0.28127363,0.27575198,0.2710978,0.26867077,0.2707306,0.2748223,0.27434942,0.26065162,0.23306495,0.19920926,0.17286177,0.16412443,0.17783462,0.21041024,0.25238678,0.28935456,0.31050727,0.31257513,0.3018325,0.28706256,0.27601826,0.27108458,0.27144077,0.27361512,0.275452,0.27493617,0.27217138,0.2690774,0.2733705,0.29064083,0.3201144,0.34802392,0.36239836,0.3585328,0.34613743,0.33628395,0.33690095,0.34584093,0.35527,0.3562828,0.3458425,0.32711017,0.3059846,0.28660285,0.27263558,0.2667862,0.27016354,0.27857408,0.28550205,0.28675476,0.285549,0.29108644,0.31142798,0.34368858,0.37219656,0.37801614,0.3559029,0.31783715,0.28373575,0.26473096,0.2610413,0.2666469,0.2767463,0.28639475,0.29039732,0.28379944,0.26622644,0.24225658,0.2193522,0.20304155,0.1934334,0.18799132,0.18483911,0.1875106,0.19840603,0.21660388,0.2331927,0.23983745,0.23176368,0.21395959,0.19641161,0.18935762,0.19551216,0.20967321,0.2238192,0.23294567,0.2370223,0.23781396,0.23721975,0.23624301,0.23575175,0.23551303,0.23392315,0.229644,0.22512285,0.22888516,0.24867332,0.2814946,0.31048414,0.31909922,0.30646488,0.28759074,0.27830732,0.28414443,0.30105355,0.31951925,0.32633996,0.30969036,0.26852956,0.21553256,0.16869925,0.14025967,0.13290559,0.14477356,0.17269884,0.21715288,0.27570346,0.34129825,0.39584538,0.42448303,0.4230182,0.40426776,0.3832099,0.36915454,0.36145917,0.3572005,0.35406837,0.35286418,0.35454178,0.35932636,0.36481106,0.36822674,0.36681557,0.3594919,0.34561458,0.32791352,0.31019667,0.29687944,0.2882619,0.28497127,0.28863886,0.30223835,0.32307708,0.34274575,0.3523539,0.34964618,0.33892107,0.32498494,0.30946872,0.29128107,0.27076748,0.25013694,0.23362447,0.22660916,0.23602562,0.26656416,0.31351367,0.36184862,0.3937484,0.40397397,0.40009102,0.39497542,0.39289692,0.3922633,0.38969263,0.3854194,0.37899494,0.3696951,0.35688487,0.34367228,0.33387896,0.32995686,0.3294988,0.32814464,0.32264268,0.31437588,0.30778873,0.30765364,0.31684887,0.33456227,0.3552424,0.3687663,0.36771432,0.35357365,0.3370427,0.3281481,0.32861808,0.33284238,0.33522296,0.3347843,0.33426258,0.33615515,0.34158763,0.3493118,0.35791278,0.36406907,0.36417207,0.35409093,0.33453324,0.31149065,0.29383597,0.28604364,0.28519478,0.28455362,0.27919927,0.27054346,0.26451662,0.26792225,0.28220502,0.3010713,0.31273237,0.30764937,0.2866204,0.26273724,0.25523117,0.27427098,0.31435075,0.3566141,0.38841322,0.40595603,0.41338757,0.40834484,0.391059,0.36665678,0.34854034,0.34364638,0.34927192,0.35568848,0.35605252,0.34953675,0.34026837,0.3326298,0.32839873,0.32472065,0.3182068,0.30683804,0.2932545,0.2812425,0.27543613,0.2785436,0.29251286,0.31728938,0.35001144,0.38303828,0.4053279,0.4082327,0.3919971,0.3658999,0.34169102,0.3258306,0.31768858,0.31250226,0.30538794,0.29419902,0.27990547,0.26713946,0.26124522,0.26653287,0.28091756,0.29704118,0.303735,0.2956958,0.27501407,0.25174165,0.23541595,0.23285657,0.2438684,0.26303613,0.28065225,0.29018342,0.29041088,0.28549305,0.2786983,0.27306035,0.2707014,0.27449784,0.28396478,0.29657245,0.30845615,0.31891218,0.32940176,0.3440396,0.3617972,0.37646353,0.3753948,0.35497773,0.32182077,0.2933483,0.28094336,0.28761482,0.3065643,0.32964566,0.3491049,0.3607901,0.36328658,0.358948,0.35068086,0.34166065,0.33236167,0.32307637,0.31351542,0.3053082,0.30036494,0.30182564,0.31273675,0.33380726,0.35873982,0.37518218,0.37223914,0.3506584,0.32257342,0.3045554,0.3065349,0.32795882,0.35601398,0.37323937,0.3676461,0.34325668,0.31538293,0.2987691,0.29704285,0.30403396,0.31101343,0.3108602,0.30148885,0.2842051,0.26483122,0.24959761,0.24393226,0.24842553,0.259066,0.26955965,0.27726272,0.28355432,0.29068518,0.2962583,0.2977477,0.2951939,0.295244,0.304054,0.32683787,0.36034393,0.3968637,0.42262673,0.43311825,0.4295913,0.42096612,0.4068016,0.38620856,0.357645,0.32951632,0.31031668,0.30629656,0.31648615,0.33605316,0.35926712,0.3814262,0.39777383,0.40341857,0.39588562,0.37986812,0.36343518,0.35248813,0.34645844,0.34241092,0.3396608,0.34063077,0.35004342,0.36915565,0.39229366,0.40526462,0.39629567,0.36586344,0.3280892,0.29834667,0.28272724,0.27762607,0.27700475,0.277655,0.27877858,0.28004363,0.2810627,0.2820898,0.28437725,0.28785694,0.29116228,0.29099622,0.28713754,0.2807323,0.27511382,0.2701577,0.26659834,0.26508483,0.26904464,0.2786828,0.29191902,0.3042245,0.3129636,0.31721845,0.31812283,0.3172555,0.31544852,0.3112735,0.30246195,0.28931916,0.27836835,0.28067783,0.30465794,0.34587225,0.38694337,0.40777814,0.4029278,0.38225624,0.36218616,0.3496492,0.34330368,0.33746552,0.33059338,0.3237196,0.32022652,0.3218449,0.32782605,0.3339362,0.33523467,0.32932305,0.31806806,0.30693328,0.30105805,0.30342814,0.31450713,0.33516896,0.36435786,0.39594817,0.417248,0.41790223,0.39783573,0.36794654,0.34116462,0.32517925,0.32178637,0.32870913,0.34112188,0.35260332,0.35868287,0.35984764,0.36038235,0.36440143,0.37029746,0.37193844,0.3618392,0.3402489,0.3143705,0.2958503,0.2898521,0.2948871,0.30315998,0.3084561,0.30731964,0.3021352,0.29744747,0.2979314,0.30287203,0.307575,0.3060061,0.29816556,0.29126802,0.29634532,0.3178091,0.350014,0.38118473,0.40378353,0.4150897,0.41516018,0.40335932,0.38330984,0.3615326,0.34471765,0.334543,0.32892522,0.32460454,0.3188413,0.31264403,0.30932546,0.3124671,0.319039,0.32154748,0.31309554,0.29430583,0.27222535,0.25589818,0.2515329,0.26192138,0.2867556,0.3243786,0.36758852,0.40505517,0.42224088,0.41522077,0.3906127,0.36341158,0.34093833,0.32296845,0.30463314,0.28598025,0.27171013,0.26882228,0.28120926,0.30663112,0.33568928,0.35663924,0.3603368,0.34517658,0.3159728,0.2836142,0.25929233,0.2505088,0.25539705,0.26647994,0.275829,0.28148767,0.28568253,0.29131904,0.29819527,0.3044161,0.308905,0.31295475,0.31786564,0.32280064,0.32523808,0.32411888,0.3217882,0.3229656,0.33206424,0.3488805,0.36618328,0.37262562,0.3623258,0.34220633,0.32747295,0.32919765,0.34565437,0.36510566,0.37510362,0.36959568,0.35230827,0.3329409,0.32105187,0.31909814,0.32274565,0.3257613,0.32488927,0.32088637,0.31625393,0.31331563,0.3144129,0.32214177,0.33999884,0.36513743,0.3881085,0.39362183,0.377416,0.348094,0.32569465,0.32304063,0.3413125,0.3668743,0.38270092,0.3749934,0.3447727,0.3041402,0.27073622,0.25385964,0.2535268,0.26167774,0.26923904,0.26986435,0.26248184,0.2514125,0.24257077,0.24058473,0.24688558,0.2611787,0.2816686,0.30537927,0.3272005,0.34207758,0.34603226,0.3401585,0.32896733,0.3209844,0.32286605,0.3385633,0.3627409,0.38499832,0.39363953,0.38972148,0.3821708,0.38133368,0.38336316,0.38020825,0.36606368,0.3477745,0.3334334,0.32980016,0.3352199,0.34618974,0.35592642,0.3628044,0.36694098,0.37229738,0.37835827,0.3843622,0.38750458,0.38764855,0.3833619,0.3744743,0.36158392,0.3495275,0.34569478,0.3557631,0.37561652,0.3910153,0.38678494,0.36150667,0.32770982,0.3021841,0.29154405,0.29317155,0.3011253,0.31468594,0.33667493,0.36750066,0.39874163,0.41597888,0.40954733,0.38199973,0.34557176,0.31157854,0.28653255,0.27088964,0.26340666,0.26042506,0.26156458,0.26821014,0.2825842,0.30145442,0.31967273,0.33305955,0.34154844,0.34509683,0.3445333,0.3411456,0.33904764,0.3407503,0.34693658,0.35486615,0.36309636,0.37203643,0.38527647,0.40195784,0.41619554,0.41756162,0.40448293,0.3837619,0.36786878,0.36090598,0.35869288,0.35223708,0.33699188,0.31622377,0.29850093,0.2919221,0.298242,0.31332096,0.33131674,0.348555,0.36414883,0.3771356,0.3862814,0.39143887,0.39655444,0.40828383,0.42876014,0.45133445,0.46197975,0.45338026,0.4293858,0.40346906,0.38411865,0.37230468,0.36326507,0.35623315,0.35436615,0.36338747,0.3814948,0.40032366,0.4054668,0.39194974,0.36333406,0.3320216,0.30477038,0.2852656,0.27179757,0.26419094,0.25998968,0.25946045,0.2632598,0.27306864,0.2866912,0.29982045,0.30960935,0.31649396,0.3232254,0.33035615,0.33731255,0.34317443,0.35116148,0.36459658,0.38401568,0.4030998,0.41658297,0.42347705,0.42699313,0.425692,0.41494796,0.3929262,0.3664457,0.34539947,0.33562627,0.33466735,0.33651128,0.3351589,0.3299415,0.3225985,0.31665704,0.31324324,0.31364843,0.31811914,0.3259907,0.3335917,0.3377647,0.3380644,0.33946618,0.34827304,0.3701485,0.4018995,0.43309048,0.4475422,0.43896475,0.41210756,0.382496,0.36139217,0.35369042,0.35613707,0.36470398,0.37673497,0.39193043,0.40766212,0.41723204,0.41375914,0.39759114,0.3767794,0.3595477,0.34848872,0.34077656,0.33381125,0.32574368,0.31686255,0.30782247,0.30135798,0.29834104,0.29856506,0.2989072,0.29829767,0.2966757,0.29719222,0.30162683,0.30955258,0.31732675,0.321547,0.3214797,0.31907955,0.31897986,0.3284383,0.3515792,0.38428327,0.41038254,0.41764644,0.40475965,0.38613328,0.37355247,0.37152123,0.37351403,0.3726296,0.36467603,0.351395,0.33683908,0.324453,0.31534183,0.3107221,0.31284893,0.3228681,0.3377342,0.3513566,0.36062708,0.36826134,0.3821905,0.40598807,0.4346423,0.45408145,0.45362306,0.43333325,0.4054923,0.38497642,0.38144228,0.39303264,0.40792063,0.41044924,0.3954188,0.371644,0.35694662,0.36105052,0.3823063,0.40700364,0.42085788,0.41179228,0.3817425,0.34296834,0.31540728,0.31051722,0.33012423,0.36331275,0.3952019,0.40984142,0.40245757,0.37984815,0.3590795,0.3540626,0.36957595,0.3958994,0.4146714,0.408515,0.3748344,0.3261043,0.28144413,0.2520126,0.24119358,0.24666314,0.2673134,0.29826382,0.33204687,0.35674933,0.36446524,0.3530519,0.32941344,0.30285105,0.28173646,0.2708899,0.27368557,0.29171363,0.32099572,0.3510153,0.36671233,0.35748342,0.32308212,0.27740085,0.24174346,0.23523235,0.26489583,0.32388458,0.3932724,0.4500773,0.47616637,0.4700111,0.44446182,0.4180373,0.39935508,0.3874143,0.3760133,0.36294723,0.34896532,0.33618847,0.3258346,0.31923687,0.31859764,0.32413855,0.3336009,0.34150377,0.34546065,0.34577098,0.34658876,0.3500996,0.3580072,0.36927152,0.38359055,0.40001222,0.42033544,0.44255468,0.46085998,0.4632356,0.44659948,0.4183769,0.3971524,0.39413142,0.41027853,0.43277657,0.44916508,0.45175138,0.4472009,0.44483247,0.451651,0.46185005,0.46907672,0.4690602,0.46490046,0.4587233,0.45136115,0.4417102,0.42839786,0.41084528,0.38935247,0.36678502,0.3470056,0.3335224,0.32756084,0.32756555,0.33022514,0.33136606,0.32826686,0.32254633,0.32146943,0.33590627,0.36793518,0.40653527,0.4279561,0.41847923,0.38133672,0.33868995,0.309876,0.3043785,0.3175443,0.34018818,0.36213243,0.37685028,0.38128147,0.37705255,0.3687501,0.36248687,0.36230698,0.36838248,0.37733006,0.3848329,0.3877487,0.38534144,0.3790308,0.37238336,0.36935416,0.37342843,0.38642025,0.40542123,0.4219606,0.42424688,0.40926543,0.38686657,0.37607852,0.3884382,0.42192575,0.46058202,0.48806038,0.49348077,0.4814739,0.46162248,0.44392356,0.42534342,0.4018011,0.37171078,0.34374452,0.32603088,0.32258832,0.3308977,0.34707913,0.36952767,0.39720914,0.4249927,0.4411333,0.43545797,0.4090825,0.3757089,0.3498465,0.3369491,0.33048356,0.32257193,0.31043604,0.3042198,0.31512547,0.34653482,0.38264203,0.40373102,0.4000013,0.381595,0.36564553,0.3637992,0.37500203,0.39043847,0.40009102,0.40011337,0.39470896,0.3932838,0.40098122,0.41339314,0.4193186,0.41134933,0.39315262,0.3770555,0.37446102,0.38747105,0.4076583,0.42225918,0.42304716,0.41309276,0.4055619,0.41258296,0.43422198,0.45553133,0.46069312,0.44472253,0.41882992,0.39852205,0.39563,0.40920213,0.43085825,0.4468371,0.45193732,0.44497076,0.43192744,0.4134005,0.39553046,0.38382038,0.38699505,0.40304232,0.4240593,0.43887994,0.44214582,0.43422976,0.41916957,0.40199688,0.38635984,0.37403283,0.36501375,0.3597107,0.36064458,0.3716943,0.392411,0.41487518,0.4258529,0.41919103,0.3992124,0.37833357,0.3633685,0.3558763,0.35196304,0.35135183,0.35404095,0.36436108,0.38219094,0.40476945,0.4223857,0.4326429,0.43748364,0.44408563,0.45015743,0.45232582,0.44741675,0.44080696,0.43827662,0.44374308,0.45415768,0.46172282,0.45875716,0.4448279,0.42796335,0.41882506,0.42269453,0.43597654,0.44837746,0.44983605,0.438265,0.42031515,0.40521216,0.39583907,0.39012763,0.38512394,0.38177702,0.38100576,0.38288382,0.38614058,0.39042795,0.39536366,0.39932188,0.4003755,0.3975176,0.3923045,0.38636485,0.3804457,0.37316576,0.36344853,0.35123745,0.33796313,0.3252939,0.31439367,0.30562577,0.29820085,0.2902126,0.27869558,0.2605854,0.23656064,0.21421652,0.20997554,0.23725808,0.2964498,0.3667219,0.42339244,0.45175135,0.45735922,0.45227823,0.44534734,0.43774438,0.42879507,0.41903505,0.4083484,0.39592585,0.3812773,0.36772832,0.35917547,0.35707495,0.3578199,0.35676515,0.3518068,0.3450617,0.34086993,0.3433096,0.35424063,0.3728331,0.39651242,0.42285374,0.44847822,0.46674624,0.46908268,0.45244053,0.42586574,0.40554705,0.40333906,0.4181299,0.43788,0.4491097,0.4448806,0.43228102,0.42391863,0.43036798,0.44635198,0.4621245,0.4687036,0.46865773,0.46461925,0.45837483,0.44634792,0.42714027,0.40129316,0.3736466,0.34971333,0.33454987,0.33070338,0.33775797,0.35216936,0.36661473,0.3741648,0.37147295,0.36278257,0.35675406,0.36314714,0.38604972,0.42082682,0.45443562,0.47487485,0.47924936,0.47536755,0.4721557,0.47307995,0.47571746,0.47789338,0.47910532,0.47869638,0.4740207,0.46286204,0.44732735,0.43321207,0.4253589,0.4226764,0.418849,0.40894476,0.39386925,0.38045046,0.37417746,0.3758445,0.38173047,0.39034963,0.40419546,0.4270611,0.45460364,0.47452652,0.47251785,0.44729635,0.41159594,0.38627005,0.38492134,0.40671825,0.43956724,0.4678707,0.48555303,0.49150655,0.4891374,0.47424147,0.44547692,0.40442824,0.36353126,0.33427998,0.3240191,0.32905802,0.34244427,0.35784325,0.3762101,0.3966736,0.41493818,0.4204464,0.41198608,0.39707795,0.38988867,0.39559302,0.40989125,0.42337492,0.43027326,0.4335407,0.43919003,0.45203057,0.4677073,0.47977617,0.48340955,0.48109916,0.47678414,0.47323692,0.46958554,0.4637357,0.45271596,0.43476686,0.40996143,0.38262486,0.35950044,0.34753963,0.34811327,0.35655656,0.36390492,0.36515665,0.36206904,0.36300614,0.3739914,0.3944157,0.41652986,0.43428627,0.44733205,0.45929375,0.46820924,0.46673945,0.44924077,0.4226999,0.40195474,0.3994263,0.41572025,0.4416958,0.46563482,0.47811833,0.47842324,0.4701374,0.45833573,0.44078413,0.4164715,0.39018166,0.37421498,0.37549922,0.3900613,0.40696016,0.4181061,0.42120922,0.4178106,0.41021517,0.40266395,0.39959714,0.40384206,0.4128559,0.4208577,0.42229378,0.41595972,0.405589,0.3983351,0.4014953,0.41768977,0.44335938,0.47104988,0.4961686,0.517309,0.5336217,0.5407376,0.5355657,0.5212359,0.508051,0.50627583,0.51877016,0.53859,0.55347127,0.553698,0.53894,0.51721793,0.49947396,0.49157786,0.49447742,0.5037369,0.51368624,0.5168825,0.5110412,0.49867332,0.48816755,0.48475096,0.4899244,0.49802575,0.50299996,0.49964762,0.49019054,0.48084787,0.47841918,0.48410842,0.4934355,0.5014468,0.5047989,0.504668,0.50185114,0.4984711,0.49444726,0.4906758,0.486372,0.4822375,0.4790428,0.4791257,0.48245278,0.4871336,0.48895836,0.48685488,0.48228613,0.47948658,0.47979185,0.4822595,0.48396254,0.48347238,0.48056245,0.475059,0.46750858,0.4607967,0.46063554,0.47004023,0.48326245,0.48803005,0.47385147,0.4427372,0.40532747,0.3746413,0.35608304,0.35006335,0.35506988,0.3716394,0.4002628,0.4336563,0.45797518,0.45698628,0.43017772,0.3886665,0.34961668,0.31649566,0.286235,0.25395355,0.22364925,0.20044474,0.18759394,0.18314375,0.18359475,0.1851299,0.18522675,0.18312745,0.17990178,0.17734788,0.17676614,0.17828055,0.18116103,0.18408604,0.18587829,0.18572415,0.18372941,0.18076736,0.17797124,0.17602383,0.17473783,0.1737504,0.17346732,0.17658113,0.1876574,0.21010546,0.24051528,0.26763174,0.278271,0.26797542,0.24371135,0.21821843,0.20003252,0.19072445,0.18730474,0.18650192,0.1863574,0.1858595,0.1871389,0.19562955,0.22176266,0.26922727,0.33297133,0.3933091,0.43673107,0.4546217,0.45440713,0.4417232,0.43043008,0.42649913,0.43516317,0.4478254,0.45940617,0.46403646,0.46230707,0.45044318,0.4270384,0.39157996,0.34730962,0.29914296,0.2536194,0.21800633,0.1953191,0.18419929,0.1798862,0.17884694,0.17878668,0.17897384,0.1789823,0.17899264,0.1788441,0.17888957,0.18006341,0.18507838,0.19807254,0.22285981,0.2599411,0.3027202,0.34094414,0.36532286,0.3770473,0.3847388,0.40030372,0.42399764,0.4460214,0.45095465,0.4363648,0.4107249,0.38844106,0.3748759,0.37099084,0.371781,0.37265944,0.36473623,0.34772816,0.32693553,0.31495294,0.31653234,0.33071908,0.34833205,0.36050412,0.36324325,0.36291698,0.36888015,0.3817737,0.3917395,0.3895017,0.37737286,0.36462355,0.35793224,0.35645688,0.35871968,0.3667464,0.3856686,0.4137305,0.4419186,0.4559226,0.4497873,0.4236894,0.38413784,0.33547232,0.2847441,0.23963113,0.20720367,0.18857783,0.17985433,0.17607464,0.1739508,0.17245106,0.171236,0.17037193,0.16997756,0.17091961,0.17438318,0.1810671,0.18950069,0.19674717,0.19978334,0.19799727,0.1924526,0.18540724,0.17973268,0.181143,0.19755234,0.2332468,0.28037953,0.3198487,0.3339472,0.32068732,0.29444754,0.27436495,0.2739601,0.2931391,0.32103908,0.33869734,0.33793268,0.32330486,0.31115708,0.30919242,0.31905618,0.3333561,0.34791073,0.35573515,0.36126164,0.37009117,0.38956013,0.4098625,0.4195194,0.41251853,0.39974153,0.3951167,0.40401164,0.41929257,0.42709723,0.42064157,0.40284124,0.3855146,0.37824893,0.3856187,0.404386,0.42542967,0.43608487,0.4279337,0.40499058,0.3821111,0.37628826,0.39323422,0.42428255,0.45112336,0.4587209,0.44634977,0.42624095,0.41430572,0.41614845,0.42522433,0.42933008,0.41939962,0.39727414,0.36921695,0.34660092,0.3337126,0.33535802,0.34756806,0.3678937,0.38740993,0.40104434,0.40212634,0.38976297,0.36677957,0.34227917,0.3255349,0.31966403,0.3215389,0.3252364,0.3284327,0.32975927,0.3306345,0.3319067,0.3360463,0.3406968,0.34372863,0.3412286,0.33507064,0.3267286,0.32498,0.3355132,0.3628619,0.39723074,0.42949876,0.4497534,0.459391,0.4582275,0.4518986,0.44260785,0.4358246,0.43203828,0.4335736,0.43874535,0.44451952,0.44443533,0.43451247,0.41292822,0.37901625,0.33424905,0.28429663,0.23905128,0.20524192,0.18471204,0.17427321,0.1704569,0.16904382,0.16743731,0.16574013,0.16793568,0.17972773,0.20429166,0.2381317,0.2695717,0.28520915,0.27980003,0.26001534,0.23745184,0.21963215,0.2079203,0.20137684,0.19800371,0.19543958,0.19109379,0.1875084,0.19194819,0.21604598,0.26283443,0.32534912,0.3834053,0.4243914,0.4434652,0.45008877,0.4499648,0.4502624,0.451509,0.45593157,0.46094182,0.46544743,0.46587268,0.46033713,0.45030904,0.44188115,0.44186983,0.44868338,0.4583875,0.46527934,0.47108498,0.47409979,0.47637728,0.47462246,0.46993482,0.45860302,0.44533825,0.43269208,0.42463502,0.4133273,0.39214507,0.35666904,0.3123194,0.26658162,0.22747932,0.19960137,0.18277805,0.17384861,0.16931629,0.17067921,0.1820094,0.21015279,0.25266126,0.29851833,0.32521525,0.3234553,0.29848424,0.2738901,0.26581702,0.28277656,0.3184924,0.3632702,0.4027063,0.4290819,0.4397999,0.43859017,0.42786142,0.41292,0.4003077,0.3968377,0.40195322,0.40911186,0.41030142,0.40274063,0.3897744,0.3776962,0.37090394,0.37005875,0.37295496,0.37696707,0.379638,0.38026735,0.37910584,0.37767446,0.37681532,0.3790805,0.3866737,0.3991681,0.41060266,0.41548502,0.4147049,0.41435346,0.41781068,0.4235822,0.4275557,0.42903063,0.42773315,0.42808315,0.43195108,0.43928435,0.43905607,0.42232072,0.38661778,0.34256804,0.3012897,0.27044007,0.25082827,0.23986356,0.23255503,0.2246209,0.21509647,0.20559509,0.19805728,0.19306166,0.19184907,0.19624288,0.21005414,0.23337018,0.2626932,0.28658655,0.29746017,0.29277012,0.2800448,0.26510957,0.2524078,0.24246551,0.23564857,0.23018871,0.22402716,0.2184665,0.21948308,0.23649605,0.27403054,0.32855466,0.38553154,0.43096006,0.45614064,0.46374437,0.4590818,0.4511162,0.44491276,0.44361737,0.44198704,0.43815652,0.43125546,0.42615703,0.42064366,0.41573712,0.41074112,0.410755,0.4138001,0.42049578,0.42881885,0.44068357,0.4530134,0.4639856,0.47119248,0.47380376,0.47076026,0.4621993,0.45194077,0.4434056,0.44023392,0.4411911,0.44503447,0.44787076,0.45183504,0.4582803,0.46926603,0.47805417,0.48118877,0.4761716,0.46827242,0.4593296,0.4534622,0.45156214,0.45410585,0.45633695,0.45236436,0.43882897,0.41633058,0.39132187,0.37181747,0.36659738,0.37734306,0.4015055,0.43128777,0.46053335,0.4810468,0.48770353,0.47710124,0.45416012,0.42695656,0.40410092,0.38803175,0.37629148,0.365628,0.35373065,0.34128833,0.32796088,0.31611905,0.30579576,0.29801357,0.2903496,0.28494307,0.28329533,0.28736296,0.29133508,0.2901988,0.28083828,0.2673568,0.25345826,0.24224061,0.23367624,0.22751129,0.22195882,0.21576755,0.20817655,0.20075111,0.1944624,0.18969269,0.18454455,0.17759633,0.1673625,0.15331411,0.13479966,0.11284796,0.0908323,0.07396712,0.06549786,0.06426564,0.065745436,0.06601211,0.063829236,0.05996934,0.056115534,0.054800015,0.058772724,0.06858434,0.08094091,0.090239644,0.09212906,0.08632628,0.07645631,0.06783169,0.06428518,0.06644099,0.07280602,0.08183089,0.09324705,0.106868125,0.1217415,0.13640799,0.14998032,0.16309589,0.17645925,0.18990241,0.20069851,0.20600222,0.20422499,0.19648866,0.18440747,0.16987978,0.15535778,0.14437205,0.13898082,0.13857841,0.1409841,0.14570366,0.15331239,0.16344349,0.17323816,0.17996185,0.1827469,0.18249442,0.1792536,0.17211871,0.16076528,0.14757313,0.13643257,0.13002522,0.12857705,0.13094683,0.13663049,0.14485222,0.15360165,0.15924366,0.15869106,0.15129848,0.13950802,0.12794797,0.12071394,0.119233884,0.121350706,0.12376829,0.12444051,0.123975396,0.124195635,0.12686151,0.13252659,0.14030989,0.14788337,0.15232195,0.15168293,0.14595158,0.13693643,0.1273332,0.11927637,0.11354456,0.10907706,0.10460704,0.09961159,0.09479774,0.09066228,0.087002315,0.083454035,0.080645196,0.08055236,0.08526087,0.095370166,0.10880455,0.12168598,0.13053237,0.13457005,0.136149,0.13893354,0.14471386,0.15136035,0.15379916,0.14852384,0.13754955,0.12789255,0.12593305,0.13234867,0.14246635,0.15096337,0.15556847,0.15671359,0.15545331,0.15243928,0.148364,0.14407718,0.14022017,0.13668758,0.1327431,0.12738831,0.12015158,0.11179552,0.1042783,0.0998311,0.099363305,0.10215541,0.10606492,0.108807236,0.10794132,0.102609284,0.09492769,0.09149981,0.098762654,0.11802494,0.14225599,0.162441,0.17329149,0.176769,0.1772571,0.17818333,0.17957711,0.18012519,0.17835379,0.17382908,0.16633697,0.15622173,0.14449506,0.13404591,0.12787692,0.12775415,0.13169354,0.13529748,0.13378851,0.12644769,0.11804629,0.11588138,0.12360078,0.1373124,0.14911926,0.15315369,0.14916123,0.14045928,0.13069582,0.122867696,0.11930444,0.12127673,0.12756681,0.13474716,0.1392758,0.13949217,0.13637127,0.13228624,0.12998688,0.13109213,0.13590865,0.14324756,0.15183812,0.16083129,0.17047119,0.18072285,0.19076173,0.19801427,0.2000346,0.19528534,0.18487805,0.17125623,0.15782091,0.14676464,0.13860495,0.1325955,0.12833486,0.1270618,0.12960672,0.13564394,0.14249068,0.14745821,0.14819692,0.14468658,0.13928461,0.13605589,0.13760592,0.1431026,0.14931177,0.15341127,0.15469797,0.15406366,0.15276046,0.15169318,0.15090133,0.1496736,0.1467318,0.14405249,0.14816178,0.17036481,0.21227644,0.2621744,0.29557037,0.30318704,0.29332396,0.28960988,0.3022953,0.33241892,0.36746147,0.39539275,0.39672664,0.36447296,0.30512348,0.24420775,0.20157552,0.18520431,0.18859862,0.20569186,0.23600598,0.285854,0.35528365,0.43302307,0.49501482,0.5251859,0.52087647,0.4968123,0.4674467,0.44456258,0.43229055,0.4316846,0.43918738,0.44907597,0.45646188,0.45950785,0.4595995,0.4576672,0.45396328,0.44730178,0.43777803,0.4251584,0.4097538,0.39193657,0.37414193,0.3598149,0.3535134,0.35899425,0.3795145,0.41062668,0.44172266,0.4562581,0.447831,0.4200648,0.38929287,0.36971357,0.3720046,0.3921721,0.4196937,0.43919668,0.45022142,0.456535,0.46487758,0.4664921,0.45582783,0.43185437,0.40745437,0.39340892,0.3960514,0.41353345,0.4392616,0.46417758,0.47982895,0.48302844,0.47648636,0.46690282,0.46144712,0.464483,0.47636724,0.4923849,0.505801,0.51307267,0.51724124,0.5254355,0.53771305,0.545029,0.53339463,0.50188535,0.46271047,0.43485823,0.4254466,0.42988062,0.43782207,0.4437599,0.4466553,0.44684944,0.44471014,0.44181836,0.44078362,0.4414275,0.43971905,0.43061444,0.41428062,0.39663437,0.38521823,0.38249436,0.3847159,0.38525674,0.38141918,0.37712875,0.382176,0.4019918,0.43203568,0.455775,0.4594119,0.44089714,0.4141865,0.39617905,0.39839444,0.41789114,0.4445229,0.46350586,0.4712447,0.46780154,0.45942852,0.44359234,0.4232917,0.40387323,0.3978177,0.40726563,0.42418608,0.43421933,0.4315928,0.42363098,0.42456928,0.44121256,0.46585783,0.4821523,0.48074266,0.4646852,0.44560143,0.43211794,0.42665854,0.42779982,0.4343833,0.4489566,0.47090974,0.49465942,0.506412,0.49845096,0.47411332,0.44886556,0.43629465,0.4409208,0.45765543,0.47637734,0.48750445,0.48502994,0.4719682,0.45793343,0.4532888,0.45845458,0.46433875,0.45944872,0.44155553,0.41856205,0.40255544,0.40012947,0.40990242,0.42565218,0.442924,0.46147954,0.48284984,0.5042816,0.51800567,0.51626587,0.49968472,0.47820893,0.4651129,0.4680455,0.48584834,0.50907844,0.52744746,0.533796,0.53176445,0.5262685,0.52088016,0.50860524,0.48643377,0.45710647,0.4329855,0.42236555,0.42697728,0.44160685,0.45942196,0.47378263,0.47912154,0.47291327,0.457718,0.4407675,0.4308426,0.43323454,0.4480026,0.4707787,0.49549332,0.51597244,0.526995,0.52666515,0.51749945,0.5053278,0.4951363,0.48920298,0.48698595,0.48867443,0.49523067,0.5095901,0.5298949,0.5511994,0.56431466,0.56767184,0.5615339,0.54872113,0.5246027,0.49173477,0.45900714,0.44441947,0.4539735,0.48397222,0.5188629,0.5490059,0.5645595,0.5642902,0.54682857,0.52124923,0.49628648,0.48198393,0.4768475,0.47521594,0.46998093,0.46486616,0.466511,0.47976962,0.498557,0.51575226,0.52494305,0.5264755,0.52204204,0.5173805,0.51723665,0.5239918,0.5346443,0.5423031,0.53900665,0.5192254,0.4869667,0.45518228,0.43924522,0.44401422,0.46298513,0.4817071,0.4888045,0.47875607,0.4582864,0.43973732,0.4345572,0.4429293,0.45675492,0.46777716,0.47375235,0.47939953,0.4894611,0.5030292,0.51055574,0.50075644,0.47206306,0.43405816,0.400717,0.37781754,0.3644147,0.35671142,0.35385787,0.3546542,0.3566858,0.3575163,0.35771012,0.36091602,0.36947492,0.38311172,0.3976083,0.4090419,0.41348848,0.410028,0.40022418,0.38941506,0.38419667,0.38987204,0.40848815,0.43841764,0.47169313,0.49641433,0.50010395,0.4829453,0.45609966,0.4375657,0.43578485,0.44753146,0.46083906,0.46639994,0.46537566,0.46681967,0.47820064,0.49496785,0.5046812,0.49831846,0.47897422,0.4577783,0.444816,0.4422917,0.44611987,0.4489057,0.44647583,0.43795004,0.42708063,0.41742015,0.41192344,0.41065803,0.41202655,0.41317794,0.41252926,0.41109326,0.41412282,0.4272798,0.45384836,0.4863418,0.5112527,0.5135496,0.49255264,0.45804742,0.426191,0.40521446,0.39773086,0.40120542,0.4122806,0.42512786,0.43416926,0.4369255,0.4361209,0.4365418,0.44061747,0.44610283,0.44811547,0.44425154,0.43671262,0.43161908,0.43415928,0.44574657,0.46406364,0.48563358,0.50881666,0.5326825,0.55370855,0.5646796,0.55754393,0.53239334,0.49789175,0.46964765,0.45869574,0.4682537,0.4901494,0.5127383,0.5268338,0.53187656,0.52965957,0.51979595,0.49849656,0.46719745,0.43400002,0.40952435,0.3980707,0.3955948,0.39525652,0.39396513,0.39811054,0.4127196,0.4362885,0.4538077,0.4559004,0.4421002,0.42522255,0.41342506,0.41096714,0.41619334,0.43025112,0.45259026,0.48163795,0.50861996,0.52334285,0.5164276,0.49130532,0.45911515,0.43425643,0.42072594,0.4161298,0.41477546,0.41540456,0.418589,0.42618522,0.43881583,0.45523274,0.47101632,0.47914353,0.474694,0.45797512,0.43663323,0.42018262,0.41550556,0.42193866,0.4339236,0.44547972,0.45602372,0.46912757,0.48862925,0.509902,0.5227793,0.5160846,0.49248615,0.4648575,0.45134327,0.45861363,0.482097,0.50761104,0.52372736,0.526418,0.52064323,0.51131135,0.49849454,0.47948578,0.457546,0.4418482,0.4393686,0.4474409,0.45602942,0.4563924,0.4462773,0.43103346,0.4179527,0.41244897,0.4143246,0.42126203,0.43084672,0.441699,0.45149335,0.45780918,0.461229,0.46665892,0.47993937,0.50234765,0.5261262,0.5392955,0.5325243,0.5094986,0.483016,0.4688697,0.47364017,0.49369884,0.515632,0.52409106,0.5086098,0.47083345,0.42327067,0.3823932,0.35974076,0.35747662,0.37015972,0.38756308,0.40071666,0.4020643,0.3886564,0.3596529,0.32060245,0.2787693,0.24225438,0.21270144,0.19224416,0.1837881,0.19384263,0.22093527,0.25675857,0.2886577,0.3104273,0.32091463,0.32141736,0.31255984,0.2968212,0.2808688,0.27286303,0.2780954,0.29434106,0.3143107,0.32994092,0.33784357,0.33904704,0.33668587,0.3328575,0.32839298,0.32369864,0.31961298,0.31718388,0.31708696,0.31924915,0.322849,0.32665464,0.3294219,0.3304141,0.32948935,0.3273673,0.32535228,0.3256221,0.33000508,0.33928344,0.3516604,0.36403692,0.3732197,0.37795377,0.37855408,0.3760971,0.37132356,0.36466238,0.35689366,0.34950814,0.34406126,0.34096864,0.33875012,0.3349767,0.32768786,0.31659338,0.30242488,0.28537992,0.26454955,0.23961876,0.21444689,0.19634765,0.19112521,0.1971054,0.2068929,0.21501052,0.22189492,0.2314681,0.24407034,0.2574747,0.26911533,0.28001294,0.2910907,0.30144763,0.30717576,0.30501315,0.29499686,0.28112054,0.2689797,0.26226878,0.26198426,0.2659483,0.27104476,0.27309915,0.26984614,0.25988635,0.24467628,0.22652175,0.21058641,0.20160438,0.20227754,0.21026789,0.22034264,0.2283267,0.23309933,0.23668034,0.24048322,0.24492727,0.24879904,0.2523135,0.25653753,0.26292956,0.27009508,0.2750148,0.274858,0.27052024,0.26567996,0.2646015,0.26901096,0.2772337,0.28502226,0.28747985,0.28160176,0.26756942,0.24826878,0.22663788,0.204054,0.18105388,0.16020101,0.14518447,0.13815643,0.13703448,0.139769,0.14700471,0.16072707,0.17873633,0.19495876,0.20537978,0.21154715,0.21755002,0.22448957,0.22975898,0.23045045,0.22632445,0.21997136,0.21429588,0.21078162,0.2087745,0.20774817,0.20769526,0.20933826,0.21144475,0.21202032,0.20890518,0.2018842,0.19160272,0.17947312,0.16767341,0.15909666,0.15619405,0.1587822,0.16436714,0.1700365,0.1757191,0.18364276,0.19584537,0.21050175,0.22319072,0.2294724,0.22889636,0.22452658,0.22249454,0.22786117,0.24263965,0.26285568,0.2820537,0.29425797,0.2984775,0.29688236,0.29318866,0.2887184,0.28283536,0.2739661,0.26297012,0.25287375,0.24681218,0.24494392,0.24453352,0.24213491,0.23588856,0.22639388,0.21586396,0.20664227,0.19992293,0.1957447,0.19415776,0.19491927,0.19706452,0.19777517,0.1954599,0.19075672,0.18756916,0.18851519,0.19382824,0.2005452,0.20623909,0.20999734,0.21245478,0.21319313,0.21085703,0.20516348,0.19958006,0.19929989,0.20713513,0.22056101,0.23403336,0.24278052,0.24526338,0.24243085,0.23622446,0.22819747,0.21963926,0.21151221,0.20461743,0.19903195,0.19493604,0.19357161,0.19679193,0.20475553,0.21427913,0.2208805,0.22268705,0.22215378,0.22498918,0.23554325,0.25499174,0.27928403,0.30301765,0.3209013,0.33126053,0.33434224,0.33247063,0.32853806,0.32583162,0.32643804,0.32959664,0.3321168,0.3295377,0.3188198,0.2980586,0.2678901,0.23160253,0.19698924,0.1720093,0.16062848,0.15897761,0.1607344,0.16149257,0.16203533,0.16398259,0.1692692,0.17838879,0.19213563,0.20834899,0.22320248,0.23181415,0.23224573,0.22533357,0.21426792,0.20248239,0.19273263,0.18697244,0.18736422,0.1961856,0.2140355,0.23732452,0.25951874,0.2745783,0.28053525,0.2788662,0.27237603,0.26318863,0.2525326,0.2414427,0.23108065,0.22282515,0.2167421,0.21116848,0.20320459,0.19169612,0.17868866,0.16927136,0.16795945,0.17620148,0.19066714,0.20629705,0.21837892,0.22503442,0.22532754,0.21935616,0.20757578,0.19246852,0.17715286,0.16465782,0.15579294,0.14997476,0.14566825,0.14236061,0.14026721,0.13991271,0.14065965,0.14084782,0.13843437,0.13228965,0.12253755,0.11053262,0.09830328,0.08846731,0.08335256,0.08402201,0.089821406,0.100880705,0.11928313,0.1478458,0.18417351,0.22005303,0.24429648,0.2509037,0.24119395,0.22288771,0.20426871,0.19012035,0.18062468,0.1736875,0.16872072,0.16683489,0.16960202,0.17663215,0.18607943,0.19497861,0.20021981,0.19910343,0.19115846,0.17878596,0.16610788,0.15608902,0.14920299,0.14422196,0.1405253,0.13861172,0.13932846,0.14178842,0.1434524,0.14084458,0.13242404,0.11974401,0.10796699,0.10211613,0.10403267,0.110280246,0.11583561,0.117516436,0.11671007,0.11722877,0.12289547,0.13456576,0.14997756,0.16544391,0.17867255,0.18976857,0.19925922,0.2066822,0.21059828,0.21074413,0.20845087,0.20587967,0.20425242,0.20243399,0.19814079,0.19059908,0.18336673,0.18155669,0.18716401,0.19614972,0.20261396,0.20330954,0.19990073,0.19567883,0.19405156,0.19645804,0.20301922,0.21130449,0.21842302,0.2222028,0.22246355,0.21960591,0.21366923,0.2053857,0.19704783,0.19230734,0.19261496,0.19581918,0.19715865,0.19359286,0.18612003,0.17899324,0.17657728,0.18059224,0.18937857,0.1986071,0.20333946,0.20019376,0.1889773,0.17232597,0.15374894,0.1357513,0.11978521,0.107900314,0.10294971,0.10678611,0.11738786,0.12948683,0.13771422,0.14074935,0.14203571,0.14740337,0.16007459,0.17717636,0.19135825,0.19705917,0.19620375,0.19517125,0.19791566,0.20078588,0.19817276,0.18889745,0.17936653,0.17733331,0.18609773,0.20188417,0.21701966,0.22413409,0.21945877,0.20492648,0.18843247,0.18060626,0.18791103,0.20664765,0.22519608,0.23239638,0.22638483,0.21366404,0.20335068,0.19901346,0.19832136,0.19492336,0.18500207,0.16895895,0.15263982,0.14368336,0.1480333,0.1657634,0.18954991,0.2088747,0.21558517,0.20962238,0.19728643,0.18742561,0.18515049,0.18970554,0.19535579,0.19552682,0.18635567,0.16802414,0.14417118,0.120431036,0.102072306,0.09220692,0.090773374,0.09655818,0.10804847,0.1240873,0.14238821,0.15964358,0.17237598,0.17889579,0.18088539,0.18228151,0.18609673,0.19190748,0.19725645,0.2015634,0.20655526,0.21370323,0.22066312,0.22306047,0.21796338,0.20692869,0.19433795,0.18411846,0.17743383,0.1733704,0.17142385,0.17186914,0.17496817,0.17884244,0.18099813,0.17969097,0.17644195,0.17499155,0.17968832,0.19189137,0.20861666,0.22417188,0.2344793,0.23954207,0.24211921,0.24442334,0.24698119,0.24930058,0.25125027,0.252602,0.25314525,0.2524942,0.25134847,0.25096294,0.25282276,0.25663912,0.26053026,0.26180944,0.25921342,0.2532573,0.24510235,0.23526748,0.22307964,0.20854716,0.19316246,0.18137527,0.17736654,0.18344347,0.19666468,0.21191086,0.22336476,0.22817095,0.22543319,0.21600743,0.2012397,0.18346943,0.16656871,0.15481132,0.15040538,0.15106733,0.15158062,0.14819065,0.14250524,0.14124638,0.1502632,0.16944246,0.19068341,0.20487916,0.20771945,0.20363145,0.20056911,0.20521688,0.21764053,0.23283194,0.24375458,0.24855371,0.2513428,0.25917324,0.27307332,0.28659093,0.29028705,0.28090116,0.26310858,0.24503456,0.23112732,0.2212437,0.21353556,0.20853098,0.20738757,0.2099194,0.21256812,0.21257704,0.20982485,0.20800382,0.2104407,0.21788268,0.22735815,0.23445337,0.23642504,0.23353273,0.22870314,0.22496761,0.22504507,0.23049398,0.24196999,0.25745144,0.2730303,0.28367177,0.28691018,0.28385344,0.27904388,0.27651012,0.27688193,0.27791294,0.27715585,0.27469364,0.27189302,0.27032387,0.27043787,0.2717795,0.2730342,0.27230766,0.2683266,0.26091042,0.25152394,0.24225588,0.23494089,0.22995919,0.22651255,0.22395338,0.22256406,0.22315878,0.225316,0.22736405,0.22702922,0.22368227,0.21931173,0.21765582,0.22105199,0.22711092,0.2310998,0.23001115,0.22661842,0.2251672,0.22753154,0.23100491,0.23240924,0.23077214,0.2275899,0.22441025,0.22059196,0.21310215,0.19873913,0.1776979,0.15531886,0.13883911,0.13230808,0.13398555,0.13981868,0.14770147,0.15808134,0.17041735,0.18194555,0.18982817,0.19458173,0.19844471,0.2030408,0.20746718,0.21067639,0.21233052,0.21313734,0.21340442,0.21298975,0.21122162,0.20787215,0.20332171,0.19887875,0.19562833,0.19383128,0.19226472,0.18874992,0.18142103,0.17052525,0.15905775,0.15052055,0.14581686,0.14296822,0.14022242,0.13851504,0.13912375,0.14029919,0.13816406,0.13217248,0.12886064,0.13634554,0.15686756,0.18164055,0.19890751,0.20151626,0.19322038,0.18287446,0.17933653,0.18548183,0.19893222,0.2128998,0.22087884,0.21939737,0.21079634,0.19999085,0.19088466,0.1829971,0.17521866,0.16904008,0.1695549,0.17865591,0.19269769,0.20382573,0.20804535,0.20626374,0.20248728,0.19888152,0.19610499,0.1947506,0.1961397,0.20079182,0.20677839,0.21023788,0.20733042,0.19693917,0.18218505,0.16978294,0.16677137,0.17570694,0.19265945,0.20937862,0.21944948,0.22176857,0.21990567,0.21764497,0.21651447,0.21588765,0.21496892,0.21361618,0.21232317,0.2115317,0.21155453,0.21241154,0.21410997,0.21646939,0.21909738,0.22113954,0.22141747,0.21909672,0.21427125,0.20837276,0.20312469,0.19974382,0.19807339,0.19749339,0.19735889,0.19769394,0.19844554,0.19952507,0.20053925,0.20141293,0.20223987,0.20310748,0.20376629,0.20356405,0.20215814,0.19959629,0.19670379,0.19415195,0.19245096,0.19151968,0.19138981,0.19224481,0.19452351,0.1983524,0.20336469,0.20897813,0.2149747,0.22232117,0.23339297,0.25143203,0.27726224,0.30639303,0.3301843,0.34278047,0.34551868,0.3451924,0.3483214,0.36228618,0.393404,0.44428277,0.50412476,0.5571854,0.5882868,0.59545976,0.5815994,0.5594047,0.53713006,0.5220871,0.5087941,0.49945486,0.4953104,0.50085354,0.50148183,0.48441327,0.44183955,0.38531438,0.32544228,0.2715703,0.22659673,0.19408566,0.17430337,0.16468102,0.16072643,0.1589761,0.15787186,0.15677518,0.15743639,0.16407806,0.18415318,0.21885388,0.26022753,0.28914216,0.293247,0.272347,0.24152909,0.21405566,0.19668283,0.18688375,0.18075936,0.17513652,0.16898312,0.164932,0.17042954,0.19883971,0.25731233,0.3408426,0.42690364,0.4966538,0.54010785,0.5644432,0.57519966,0.5807733,0.5819876,0.58172375,0.5755808,0.56678206,0.5577815,0.55583686,0.5571656,0.5600205,0.55848855,0.55417347,0.5464571,0.54202414,0.54449606,0.5548587,0.56630015,0.572078,0.5690718,0.5577092,0.54414636,0.53300524,0.5256936,0.51093864,0.48052236,0.4316778,0.37444982,0.31539488,0.26070496,0.21311547,0.17825647,0.15762883,0.14924149,0.15016444,0.16327377,0.19803075,0.25803608,0.33043262,0.3857068,0.40278795,0.38393107,0.35418323,0.33627692,0.34417155,0.37731385,0.43084487,0.4872156,0.53273684,0.5543557,0.5529501,0.52648026,0.48279706,0.4322126,0.3946875,0.3813314,0.3935064,0.4193562,0.44369015,0.4543462,0.44932923,0.4368516,0.42846727,0.43041882,0.43968964,0.44884834,0.45242035,0.45215654,0.45149228,0.4539405,0.45845887,0.46791872,0.4807297,0.4954547,0.50303423,0.50538594,0.5049574,0.50921357,0.5136593,0.516776,0.515562,0.5131316,0.51122785,0.51300865,0.517396,0.5152456,0.49437556,0.44845402,0.38432455,0.31436804,0.25114885,0.20201606,0.17044558,0.15430705,0.14868526,0.14786677,0.14839554,0.14827935,0.14688231,0.14573067,0.14944233,0.16530196,0.19614191,0.23605405,0.26894796,0.2812997,0.2697771,0.24442077,0.21728498,0.19653936,0.18318278,0.17555714,0.17037149,0.16513985,0.15889204,0.1570103,0.17072113,0.21394987,0.28712997,0.3750734,0.44949177,0.49469367,0.5082936,0.5043733,0.49458,0.48991787,0.4907494,0.49248734,0.48967275,0.48420092,0.48320708,0.48812327,0.49790373,0.50780463,0.5178922,0.52263564,0.5225696,0.5168945,0.51201874,0.50618786,0.50272286,0.5001622,0.50186735,0.50332993,0.50580883,0.508231,0.5112862,0.50899106,0.49722755,0.4754194,0.44802547,0.42557955,0.41777825,0.43146446,0.45809913,0.48848614,0.51077276,0.5247865,0.52712274,0.5258396,0.52549547,0.5327774,0.5364675,0.52490586,0.48738554,0.42918673,0.3621123,0.30333915,0.26533678,0.2521355,0.25860953,0.27638528,0.2991186,0.32198358,0.33961582,0.34642434,0.3402004,0.3252116,0.31131002,0.30719173,0.3145533,0.32725027,0.33942434,0.34820017,0.35348427,0.35392132,0.349308,0.3420975,0.33503965,0.33087483,0.3289585,0.33021832,0.33504167,0.35326335,0.39652935,0.4713284,0.5612872,0.6386214,0.6809495,0.6902306,0.68247765,0.67531157,0.67193836,0.6701031,0.6634957,0.6559462,0.6470029,0.6373245,0.6179631,0.5894059,0.55349237,0.51850337,0.4850967,0.45351526,0.42209098,0.39189926,0.3632183,0.33595875,0.30983862,0.28508854,0.26189905,0.24049018,0.2228622,0.21440512,0.22225094,0.24730559,0.28064787,0.30541238,0.31096807,0.2975576,0.27600515,0.25571582,0.24169122,0.233241,0.22824003,0.2243535,0.22072391,0.22071016,0.23134954,0.263132,0.31729236,0.3852603,0.44546434,0.48689485,0.5067428,0.517049,0.52207226,0.5279512,0.5318346,0.53472924,0.5309842,0.52328044,0.513463,0.5080797,0.50634336,0.508749,0.51188713,0.51386577,0.5140565,0.51692945,0.52725345,0.54135084,0.5522577,0.552592,0.544501,0.5293146,0.51508147,0.50383705,0.4976323,0.4840168,0.45559058,0.40737808,0.34824106,0.28445202,0.224585,0.17370538,0.13758251,0.116222076,0.105806746,0.100675106,0.09720615,0.09399218,0.090801634,0.08997655,0.09705644,0.12161708,0.16699703,0.22875309,0.29278687,0.3544966,0.41291597,0.47159305,0.5194609,0.5485942,0.55202436,0.5356303,0.50172794,0.45929548,0.41833186,0.3941371,0.39227846,0.40945148,0.43297926,0.45017123,0.45235744,0.44022575,0.42264912,0.4107555,0.41077244,0.42042366,0.43298277,0.44205925,0.44646263,0.44760236,0.44837332,0.45095217,0.45892274,0.472257,0.48763046,0.49883017,0.5054024,0.5086503,0.50989497,0.5082124,0.505832,0.5067827,0.5109146,0.5164122,0.5200463,0.5213399,0.51229024,0.48530886,0.43499735,0.36834863,0.29542056,0.22819698,0.17407574,0.13737243,0.11641926,0.106334366,0.1014517,0.09835758,0.095638394,0.09303128,0.09245024,0.098787904,0.12062708,0.16161227,0.21577549,0.26434603,0.29134038,0.29160833,0.2758044,0.2568109,0.24333799,0.23605911,0.23273283,0.23044395,0.22768891,0.22570856,0.2302952,0.2509259,0.29482916,0.35835433,0.42612788,0.47947583,0.50868076,0.5144819,0.50460035,0.48972714,0.4796145,0.47900954,0.48286784,0.48819515,0.49431112,0.5061242,0.51840425,0.5283711,0.5325087,0.5361605,0.5374956,0.5366857,0.5306899,0.5226071,0.5131565,0.5068197,0.504035,0.50386024,0.5020377,0.4994994,0.49946427,0.50213116,0.5033907,0.49697313,0.48216614,0.45968118,0.44053236,0.43402436,0.44855824,0.4735488,0.49949265,0.5155782,0.5257873,0.52976483,0.53452057,0.5403733,0.54903346,0.5493553,0.53236675,0.4921362,0.4357061,0.37554684,0.32615963,0.29682377,0.2876865,0.29300737,0.3046565,0.31754127,0.32691047,0.330255,0.32738137,0.32239747,0.3209567,0.32592413,0.33611938,0.3464241,0.35464764,0.36044696,0.36618853,0.3704426,0.37362754,0.37561426,0.37861165,0.37977493,0.37894988,0.3772407,0.380348,0.38682246,0.39164022]