[0.0022405542,0.002379704,0.0026095463,0.0027141673,0.002609351,0.0024479635,0.0025788506,0.0032483127,0.0043052146,0.005218525,0.0054232837,0.004825697,0.0038469138,0.003085511,0.0027913882,0.0028014213,0.0028105609,0.0027139115,0.0026162008,0.0026548214,0.002865738,0.0033001993,0.004201383,0.0060272287,0.009003186,0.012600309,0.015474074,0.016340695,0.015003339,0.012584466,0.010689165,0.010491386,0.012407231,0.016249247,0.02126295,0.026254823,0.030087663,0.03237745,0.033663545,0.034734752,0.03590234,0.03678438,0.037027337,0.03674143,0.03662345,0.037223767,0.03875329,0.040914495,0.043333735,0.045585867,0.047469348,0.048976053,0.05024026,0.051144045,0.051107377,0.049518798,0.046459112,0.04317457,0.04117202,0.04113548,0.042288985,0.04337905,0.043694466,0.04344226,0.04315935,0.043148432,0.043486375,0.044106543,0.04485358,0.045378152,0.045340974,0.044710815,0.043801855,0.043038387,0.042600844,0.04241106,0.042343434,0.042412724,0.04283887,0.043853182,0.045681164,0.048351232,0.051737547,0.055345017,0.058601018,0.060889225,0.062045854,0.062046066,0.06123058,0.059743896,0.057960246,0.056129467,0.05489975,0.05472499,0.05585848,0.0577666,0.059682157,0.060966223,0.061641324,0.062087554,0.062637456,0.063294284,0.063780226,0.06387604,0.063480556,0.06269822,0.06163155,0.06044379,0.059239943,0.058068465,0.056823004,0.055439904,0.054207623,0.053873997,0.055346344,0.05893421,0.064178914,0.07006853,0.07583642,0.080944024,0.08494788,0.08729882,0.087872654,0.08711509,0.08587704,0.0846951,0.08392932,0.083620586,0.0837988,0.0840457,0.08398872,0.0836007,0.08340275,0.084035516,0.08552108,0.08741596,0.08900395,0.090117514,0.090927444,0.09172294,0.092312016,0.09231814,0.09164849,0.090833515,0.09050509,0.091088206,0.092619635,0.0952819,0.09878396,0.102528,0.10542955,0.10745419,0.10927191,0.11180683,0.11489258,0.11784521,0.12062613,0.12407937,0.12918533,0.13536589,0.14095198,0.14398968,0.14403714,0.14195752,0.13941318,0.13754328,0.13685368,0.13732906,0.13899635,0.14154178,0.14382495,0.14361769,0.13889915,0.12953374,0.11816192,0.10866549,0.103892505,0.10377253,0.106074,0.107768126,0.107226945,0.104381405,0.10062354,0.097135074,0.094541274,0.09261459,0.091274716,0.09043696,0.090219714,0.09023587,0.09036868,0.09040258,0.09075674,0.091355026,0.092312396,0.09311656,0.09379354,0.09412027,0.09440997,0.09446037,0.09421245,0.093191445,0.09141903,0.088949345,0.08613851,0.08312336,0.08015744,0.077598564,0.075796925,0.075074464,0.07579075,0.07907519,0.0860652,0.097098015,0.11023456,0.12244641,0.13107269,0.13564295,0.13703184,0.13624297,0.1332175,0.12781633,0.120885275,0.11478695,0.111771576,0.11231965,0.11483068,0.116966,0.11765242,0.117023446,0.11606035,0.115005255,0.113478005,0.11051408,0.105629355,0.09947038,0.09328275,0.08822423,0.08410543,0.080530934,0.07717235,0.07471979,0.07364043,0.07407666,0.07560874,0.07788184,0.08087956,0.084528305,0.08881559,0.09310266,0.09685088,0.0991157,0.09971842,0.098659515,0.09684956,0.09496858,0.09376832,0.093256086,0.09332144,0.09351602,0.09366748,0.093639165,0.09356928,0.09358651,0.09381246,0.09419211,0.094571374,0.094885826,0.09508135,0.09505617,0.0944249,0.0930197,0.090972185,0.08904156,0.0877844,0.08756611,0.08802117,0.08883447,0.08951664,0.09002101,0.0902479,0.09051877,0.09102736,0.09207717,0.09338532,0.0945333,0.09482416,0.09391636,0.09141356,0.08707418,0.080712505,0.07279419,0.064233385,0.05609773,0.04894175,0.042950604,0.037942942,0.033657696,0.029605828,0.025509058,0.021355562,0.017465675,0.014049926,0.011183012,0.008837062,0.0070532337,0.005808074,0.004965823,0.004283496,0.003593275,0.0028680284,0.0022110178,0.0018007648,0.001822157,0.002366486,0.003284753,0.0041952915,0.0048571876,0.005634889,0.007751275,0.012668236,0.021158561,0.032631557,0.045518797,0.05835517,0.07031146,0.081304975,0.090960585,0.098908864,0.10458877,0.10885612,0.11320732,0.119548194,0.12793308,0.13739006,0.14642073,0.15449966,0.16075186,0.164258,0.1644051,0.16286612,0.16182075,0.16263294,0.16375466,0.16341533,0.16054697,0.15699326,0.15461165,0.15521242,0.15796733,0.1622925,0.16690265,0.17240359,0.17844582,0.18581913,0.1937878,0.20232533,0.20868947,0.21097906,0.20769787,0.20186163,0.1966273,0.19424814,0.1936214,0.19421595,0.19641696,0.20095132,0.20684981,0.21260487,0.21763836,0.22176468,0.22415312,0.22374523,0.22135401,0.21942861,0.22036505,0.22447614,0.23062362,0.23682737,0.24230343,0.2472917,0.253114,0.25941822,0.2645513,0.2667754,0.26639354,0.26487574,0.26336804,0.2628063,0.26429877,0.26864585,0.27531698,0.28321025,0.29263613,0.30470777,0.3188486,0.33040607,0.3329502,0.32292253,0.30261037,0.27837738,0.2557287,0.23701014,0.22157013,0.20881493,0.19851445,0.19174612,0.18973649,0.1937203,0.20258456,0.21229446,0.21752961,0.21621758,0.2121817,0.2129819,0.22340286,0.24109483,0.25774136,0.26566324,0.2623895,0.25148287,0.23886752,0.22916949,0.22265615,0.21553679,0.20371987,0.18767901,0.17297454,0.16645785,0.17077376,0.18422765,0.20176487,0.2182941,0.22875942,0.2307811,0.22557174,0.21817861,0.21373849,0.21397777,0.2168922,0.2195683,0.22157745,0.22472711,0.23169531,0.24337752,0.258739,0.27452397,0.28720382,0.2943466,0.29575634,0.29214415,0.28431413,0.27361658,0.2638466,0.25953126,0.26233563,0.26781437,0.26942042,0.26333177,0.25188193,0.23914438,0.2282406,0.21931213,0.21210654,0.20597672,0.20035964,0.19464082,0.18859793,0.18253464,0.17656611,0.17113423,0.16694309,0.16510427,0.16640472,0.1713642,0.18051523,0.19403203,0.21148394,0.23068948,0.24902065,0.26293913,0.2705313,0.27055657,0.2642555,0.25358,0.2421401,0.23410541,0.23316109,0.24004441,0.25057504,0.25834277,0.258773,0.25354567,0.24830733,0.24770534,0.2511355,0.25380948,0.25212368,0.24611974,0.23970036,0.23613904,0.23639224,0.23770988,0.23611367,0.22897206,0.21726064,0.20466512,0.19475043,0.18918878,0.18859899,0.1942118,0.20713693,0.22572823,0.24444222,0.256655,0.25915962,0.25387558,0.24617618,0.24062586,0.23904282,0.23911424,0.23736446,0.23155318,0.22390038,0.21942179,0.22180958,0.23061712,0.24075115,0.247464,0.24748991,0.2416109,0.23167908,0.22080536,0.21156372,0.20662318,0.20833361,0.21648961,0.22725123,0.2334286,0.23023982,0.21778446,0.2004944,0.182498,0.16598232,0.15264027,0.14481463,0.14500386,0.15293603,0.16491447,0.17543733,0.18130423,0.1840803,0.18762605,0.19362831,0.19898176,0.20003921,0.19662851,0.19301946,0.19263516,0.19612037,0.20165376,0.20846625,0.2151156,0.21903312,0.21618457,0.20550804,0.18935744,0.17254603,0.15860069,0.14934266,0.14533556,0.14666599,0.15250807,0.16081274,0.16917403,0.17569529,0.17931883,0.17965658,0.17699744,0.1723964,0.16696419,0.16182329,0.1578132,0.15609789,0.15706022,0.16068792,0.16617747,0.17262019,0.17819653,0.18057634,0.17830543,0.17204471,0.16471742,0.15931039,0.15750264,0.15841202,0.16005671,0.1606236,0.16004871,0.15850765,0.15536095,0.14857937,0.13721775,0.12244788,0.1072729,0.09421571,0.084151745,0.07647193,0.06997413,0.06377242,0.057336766,0.0505971,0.043607354,0.03671754,0.030394273,0.025477946,0.023085056,0.025005467,0.033293854,0.049646992,0.07385143,0.103387214,0.13397075,0.16180271,0.18445195,0.20152383,0.21345752,0.2220879,0.22972254,0.23880772,0.24948008,0.25933683,0.26430058,0.26225784,0.2541571,0.24438524,0.2367679,0.2340331,0.23518698,0.23876648,0.24239089,0.24602664,0.2494181,0.25199214,0.25134695,0.24605529,0.2373091,0.22841255,0.22205462,0.21840143,0.21608458,0.2137763,0.21088082,0.20749283,0.20416827,0.20228505,0.20297378,0.20651847,0.21206225,0.21899438,0.22750778,0.23749448,0.24720204,0.2539219,0.25690272,0.2586498,0.2627481,0.2706262,0.28079876,0.2906871,0.2984291,0.30262914,0.3028715,0.29930273,0.2932957,0.2851571,0.27473104,0.26219687,0.2508221,0.2456528,0.25003076,0.26247618,0.27710828,0.28849864,0.29446504,0.29666173,0.29668465,0.29510358,0.29211977,0.28937185,0.2883279,0.28813803,0.28580964,0.279598,0.27066374,0.2620152,0.2560511,0.25406876,0.25630474,0.26130006,0.265615,0.26550242,0.25997624,0.25200626,0.24676561,0.247611,0.25382373,0.26067355,0.2631789,0.25880635,0.24902536,0.23725154,0.22676624,0.21862352,0.21177332,0.20444153,0.1962503,0.18897468,0.18505448,0.18578124,0.19012247,0.19635175,0.20246963,0.2075511,0.2107691,0.2132091,0.21700014,0.22459917,0.23521423,0.24561524,0.25305247,0.25916222,0.26791254,0.2816017,0.29775727,0.312227,0.3222043,0.32819986,0.33082142,0.32964528,0.32224953,0.30837068,0.29018286,0.27275965,0.25875017,0.24797045,0.23763669,0.22702552,0.21796423,0.21342357,0.21412955,0.21739443,0.21893775,0.21623491,0.21097475,0.20741801,0.20873429,0.21427536,0.22100617,0.22657329,0.23067449,0.2340167,0.23631836,0.23697698,0.23666818,0.23848785,0.24513878,0.25559616,0.26413468,0.26468134,0.2546704,0.23718785,0.21763206,0.20164274,0.1915437,0.18653353,0.18289833,0.17732763,0.16884567,0.15905331,0.15062998,0.14572085,0.14596844,0.15202542,0.16339336,0.17760055,0.19141026,0.20234783,0.21026586,0.2167266,0.2237407,0.23265225,0.24408846,0.25736907,0.27024803,0.27924967,0.28279412,0.282537,0.2828727,0.28662106,0.2934514,0.30065146,0.30625215,0.31047964,0.31378034,0.3153167,0.3118559,0.3021464,0.28906807,0.2800292,0.28143346,0.29361293,0.31080994,0.3245875,0.33054498,0.3282878,0.32100388,0.3109958,0.30059454,0.29209182,0.28847864,0.29118466,0.29838258,0.30616271,0.31058547,0.3109994,0.30835286,0.30573452,0.3052958,0.310608,0.32227656,0.3390418,0.3544543,0.3635633,0.36340168,0.3569244,0.34799397,0.34120032,0.33785143,0.33813348,0.34063658,0.34606662,0.35401043,0.3624135,0.36468065,0.35662916,0.3385906,0.31774285,0.29968366,0.28671363,0.27589667,0.26635477,0.25877213,0.25530025,0.25417098,0.25220898,0.24767685,0.24315877,0.24261792,0.24845356,0.2607495,0.2777346,0.2952827,0.30667907,0.3066031,0.2956782,0.28160596,0.27199453,0.26859882,0.26583865,0.2588394,0.24759579,0.23726733,0.2319535,0.23254682,0.23738407,0.24396126,0.24954657,0.25094846,0.24622607,0.2353685,0.2201214,0.20263374,0.18428056,0.16587624,0.14772391,0.13026993,0.1137017,0.097878784,0.082628734,0.06815062,0.055410426,0.04519342,0.037956998,0.03328613,0.03064988,0.029411957,0.029809326,0.03323574,0.04246142,0.059824836,0.085279204,0.11521388,0.1448346,0.17086692,0.1931762,0.21236445,0.22859097,0.24181049,0.25367776,0.2666888,0.2811004,0.29508066,0.30607793,0.31510004,0.32328638,0.33117685,0.3352934,0.3330975,0.3228493,0.30641004,0.28653732,0.26857516,0.25698373,0.25409344,0.25690934,0.26103744,0.2640181,0.26788774,0.2747294,0.28337443,0.28845677,0.28602365,0.27621356,0.26462945,0.2570577,0.2576723,0.26476812,0.27365705,0.2783374,0.27878907,0.28030828,0.29009512,0.3095966,0.33329153,0.35309196,0.3630537,0.36294326,0.35543108,0.34581316,0.33749714,0.33397576,0.3356677,0.34258866,0.35084474,0.35692617,0.35675013,0.35002264,0.33713844,0.3222722,0.31096452,0.31006482,0.32070282,0.33729434,0.35151497,0.35972857,0.36561155,0.37328908,0.3820968,0.3857458,0.37959376,0.36632356,0.3532064,0.3469628,0.3454095,0.3430018,0.33319855,0.31734195,0.29873228,0.28238598,0.269443,0.2614757,0.2596387,0.26499927,0.275583,0.28630313,0.2918929,0.28923967,0.2794254,0.26578805,0.2525109,0.24220204,0.23571855,0.23310204,0.23479813,0.241159,0.25124863,0.26293814,0.27511403,0.28789088,0.30071327,0.3107817,0.314742,0.31215432,0.30527222,0.29713538,0.28882197,0.2802427,0.27078393,0.26058456,0.2503676,0.24220216,0.23851843,0.24135548,0.25018024,0.2623466,0.2740023,0.2831471,0.2899923,0.29637384,0.30184415,0.3031715,0.29549995,0.27777684,0.2538724,0.23104793,0.21465419,0.20648086,0.20544785,0.20975797,0.21654187,0.22144008,0.22040357,0.2132494,0.20502086,0.20180614,0.20667149,0.21748321,0.23107593,0.24520655,0.26046216,0.27744696,0.29538205,0.31111872,0.32104257,0.3251084,0.32743236,0.33434704,0.34747434,0.36287045,0.3733656,0.3757656,0.37180018,0.3657856,0.35991964,0.35389575,0.34655926,0.3376349,0.32756442,0.31726852,0.30769286,0.30009675,0.29514372,0.29358503,0.29564825,0.30127183,0.30968997,0.3198878,0.3319509,0.3448325,0.35685262,0.3634108,0.36227903,0.35334206,0.3407842,0.3287598,0.3201164,0.31622234,0.31683052,0.32230306,0.3314154,0.34497836,0.36259893,0.3830985,0.40049943,0.40896377,0.40749946,0.40054432,0.3927373,0.38176623,0.3635662,0.3364569,0.30758458,0.28581747,0.27804637,0.28297183,0.29432073,0.30377555,0.30660525,0.30198166,0.29271233,0.28194216,0.27308932,0.26762548,0.26621902,0.26682088,0.26668265,0.26258317,0.25429103,0.24453348,0.2377548,0.23668075,0.24096966,0.24842519,0.25683343,0.2650613,0.27203608,0.2769843,0.279397,0.28062025,0.28163692,0.28231704,0.27957737,0.27094594,0.2566404,0.24153702,0.23241071,0.23346478,0.24369176,0.25668678,0.2659541,0.2673836,0.26193452,0.25258306,0.24337506,0.23641153,0.23243801,0.23099202,0.23229998,0.23680045,0.24354993,0.2492327,0.2495328,0.24247009,0.22991912,0.21700084,0.20958187,0.21132492,0.22113763,0.2329467,0.23923646,0.23671657,0.22776431,0.21765988,0.2093932,0.20379597,0.20085914,0.20088081,0.20222437,0.20156719,0.19630744,0.1872883,0.1774025,0.16891266,0.16165471,0.15492421,0.14848925,0.14313893,0.13870318,0.13433635,0.12893933,0.12319627,0.11916309,0.11965448,0.12618019,0.13856544,0.1546617,0.1715195,0.18622573,0.19685811,0.20290452,0.20485248,0.20405997,0.20204842,0.20086491,0.20227523,0.20709158,0.21394056,0.21982123,0.22197825,0.22027422,0.21749704,0.21765684,0.22241597,0.22968458,0.23421003,0.23200732,0.22299993,0.21169774,0.20303266,0.19897337,0.19702323,0.19338126,0.18622518,0.17720003,0.16939646,0.16502737,0.16456269,0.16755448,0.17340724,0.18166368,0.19135237,0.20153911,0.21080913,0.218686,0.2242824,0.22743428,0.22759812,0.22570907,0.22372103,0.22451691,0.229795,0.23900492,0.2495509,0.25889197,0.26591465,0.27094802,0.2738825,0.27326533,0.2674873,0.25656673,0.24354784,0.2326042,0.22768313,0.23044832,0.24008489,0.2528291,0.2629471,0.26585755,0.2610542,0.25330627,0.24836832,0.24876249,0.25129518,0.25080153,0.24426128,0.2333821,0.22221036,0.21426797,0.21045871,0.21025594,0.21234073,0.21566367,0.21823108,0.21808465,0.21315275,0.2036122,0.19117098,0.1794799,0.17122658,0.16766326,0.16752833,0.16875131,0.16978084,0.17050387,0.1725921,0.1780508,0.18836443,0.2025079,0.21752428,0.22993356,0.23819089,0.2431919,0.24683595,0.25036243,0.25367638,0.25608858,0.25700784,0.25665036,0.2561243,0.2569503,0.25995687,0.26495746,0.27155182,0.27977586,0.2893163,0.29841217,0.30371657,0.30250227,0.29407623,0.28100863,0.26697597,0.2548703,0.24500036,0.23617613,0.22780244,0.22023685,0.21443562,0.21006475,0.20582803,0.19951178,0.18941545,0.17539062,0.15946148,0.14558445,0.13761722,0.13781488,0.14553027,0.1580152,0.17164159,0.18350942,0.1924587,0.19906755,0.20479126,0.21056108,0.21603042,0.21991242,0.22125722,0.22051553,0.21948068,0.2194717,0.22039656,0.22054583,0.21886808,0.21478702,0.20851107,0.19955885,0.18891035,0.17890829,0.17331682,0.1737058,0.17944449,0.18791439,0.19728898,0.20578654,0.21205562,0.21500266,0.21559305,0.21630217,0.21969034,0.22627304,0.23447601,0.24148996,0.24509488,0.2450455,0.24360697,0.24402757,0.24787723,0.2534279,0.25716972,0.25669202,0.2527159,0.24795736,0.24488084,0.24472855,0.24740201,0.252849,0.25960338,0.26619008,0.27021697,0.2714627,0.26973483,0.26544753,0.25753012,0.24643175,0.23525709,0.22947942,0.23305167,0.24445482,0.2577709,0.26636985,0.267583,0.263053,0.25588343,0.24883246,0.24312927,0.24129514,0.2446676,0.2524497,0.25867033,0.25876477,0.25455758,0.25661546,0.27344623,0.30330825,0.3321065,0.34680057,0.34420645,0.33432415,0.32812044,0.3302916,0.33458307,0.33267984,0.3191842,0.29656497,0.26931214,0.24195415,0.2159427,0.19316454,0.17499815,0.16238572,0.15453069,0.15057133,0.15055025,0.15412122,0.15971488,0.16467117,0.16814016,0.17085582,0.17410596,0.17736281,0.17973812,0.18097377,0.18244755,0.1848527,0.18741511,0.18778865,0.18458386,0.17880262,0.17375027,0.17268886,0.17631392,0.18251503,0.18849103,0.19310714,0.19752933,0.20296402,0.20988052,0.21698229,0.22335391,0.2278062,0.23017652,0.2301356,0.22793718,0.22337233,0.2164564,0.20764917,0.19837673,0.18990488,0.18276422,0.17666121,0.17175238,0.16833173,0.1664833,0.16497566,0.16198571,0.15587042,0.14662342,0.13589962,0.12590016,0.117407255,0.109298974,0.09979086,0.088368565,0.07594667,0.064098306,0.05370846,0.045247883,0.038712356,0.034131076,0.030995915,0.028616985,0.026285278,0.024019377,0.022534305,0.022840425,0.025503086,0.030822,0.03966524,0.054013003,0.075734526,0.104393326,0.1367964,0.16862024,0.1973627,0.22279786,0.24623466,0.26878026,0.2905896,0.31043956,0.32598317,0.33557972,0.33976898,0.34179106,0.34527126,0.3526511,0.36353347,0.3756052,0.38470677,0.38808718,0.38539055,0.3801985,0.3756392,0.37261498,0.36855924,0.36226204,0.3553815,0.3519809,0.35376152,0.35909376,0.3637878,0.36541525,0.36374268,0.3620977,0.36354473,0.37125123,0.38433632,0.40127268,0.41822836,0.43421867,0.44788483,0.45923957,0.46583787,0.46614954,0.46075293,0.45429048,0.45275703,0.45907974,0.47257724,0.48919943,0.5053027,0.5164519,0.5194104,0.5111752,0.49164686,0.4624965,0.4276859,0.39155623,0.357939,0.32871655,0.30444893,0.2851136,0.27091137,0.26078403,0.25299346,0.24548362,0.23854773,0.23384897,0.23311032,0.23561656,0.23842643,0.23858897,0.23470853,0.22813232,0.22146077,0.21821533,0.22092743,0.22978126,0.2421329,0.2529539,0.2586163,0.25756076,0.2522971,0.24550831,0.23910737,0.2318966,0.2224323,0.2104581,0.19781478,0.18688159,0.1794679,0.17705111,0.1805681,0.18977828,0.20161264,0.21146633,0.21553941,0.21441782,0.21199435,0.21324633,0.21976614,0.23004036,0.24023627,0.24786536,0.25250474,0.25586417,0.25981203,0.26469094,0.2692503,0.271346,0.27036276,0.2674149,0.2651072,0.26544157,0.26976752,0.27860108,0.29162207,0.30693856,0.32140806,0.33251068,0.33912373,0.3418574,0.3407463,0.3355076,0.32511225,0.31096026,0.29623094,0.2856041,0.28134263,0.283268,0.28878686,0.2949746,0.2986809,0.29749072,0.29075196,0.28004456,0.26804653,0.25629008,0.2451181,0.23449756,0.22562492,0.2208168,0.2227618,0.23343365,0.25213203,0.27609554,0.30080426,0.32279995,0.3386556,0.3453481,0.34001884,0.32273528,0.29801247,0.27355585,0.25606573,0.24783047,0.2467497,0.2499367,0.25471014,0.2587994,0.2586108,0.2521532,0.24064727,0.22863181,0.22010364,0.21507348,0.21043396,0.20301844,0.19380033,0.18706433,0.18698369,0.19359715,0.2025512,0.20963997,0.21384521,0.21849899,0.22655787,0.2396395,0.25618458,0.27486286,0.29207948,0.30451736,0.30762485,0.30146527,0.28904137,0.2771037,0.27004346,0.2694028,0.2727665,0.27745977,0.28222954,0.28807196,0.29600418,0.30544797,0.31401005,0.3201494,0.32425174,0.32933035,0.33800516,0.35238805,0.3719037,0.39518663,0.4189357,0.44063306,0.4581573,0.47106704,0.47893915,0.48102924,0.47701153,0.46728513,0.45437267,0.44019577,0.42701396,0.41434526,0.40169188,0.3869182,0.37059656,0.35422936,0.34199044,0.33628818,0.3389381,0.34842083,0.36179435,0.37252045,0.37394592,0.36213544,0.34086344,0.31943193,0.30625963,0.3025767,0.30329943,0.30432987,0.30661726,0.31471995,0.32907572,0.34376946,0.3490106,0.34012404,0.3209495,0.30119324,0.28782913,0.28123304,0.27766785,0.27429104,0.27088717,0.2672194,0.26165327,0.2515324,0.23632626,0.2184213,0.20264615,0.19294621,0.19079006,0.19404756,0.19959043,0.20462225,0.2089641,0.21344544,0.21931171,0.22653519,0.23417158,0.24041802,0.24327976,0.24198206,0.23704506,0.22939616,0.21845776,0.20340376,0.1855217,0.16891468,0.15753429,0.15178947,0.14878362,0.14512077,0.13970335,0.13317944,0.12645864,0.11907523,0.11027128,0.099805616,0.089057066,0.07958769,0.07238417,0.067010425,0.0628341,0.06008513,0.060852956,0.06866017,0.08675491,0.11573773,0.15219615,0.18960911,0.22105443,0.24170144,0.25055635,0.25064304,0.24773741,0.24730472,0.25120655,0.25769964,0.263654,0.26823878,0.27291682,0.27970812,0.28872553,0.29693365,0.29997072,0.2932855,0.2761989,0.25171056,0.2272793,0.21014671,0.20453036,0.20871411,0.21725045,0.2254042,0.2324151,0.2412368,0.25452116,0.27249172,0.29248342,0.3109447,0.32417718,0.32988155,0.32794794,0.3215991,0.31586596,0.31590798,0.32419503,0.33988276,0.35858652,0.3750738,0.3854157,0.38857123,0.38550636,0.37824652,0.3698367,0.36370406,0.36257032,0.36628425,0.37248752,0.37854636,0.3835926,0.38845968,0.393924,0.40078163,0.4092996,0.41927955,0.42780992,0.43061152,0.42433164,0.4099288,0.3906037,0.369573,0.34704614,0.3226948,0.2964737,0.27175096,0.25477514,0.25698102,0.28992867,0.36113068,0.46090207,0.56621903,0.64423364,0.6755617,0.6553796,0.5988931,0.5252032,0.45526537,0.40071428,0.36396265,0.33769122,0.3131386,0.28689545,0.26148212,0.24218307,0.23075204,0.22538231,0.22058903,0.21285212,0.2017398,0.19048302,0.18165217,0.17620899,0.17439578,0.1783347,0.19083387,0.21378894,0.2451623,0.28052214,0.3133786,0.33867145,0.3532865,0.35754037,0.3540602,0.3470304,0.34068048,0.3383361,0.34093675,0.3472918,0.35466623,0.36118165,0.3659006,0.3681047,0.36646557,0.35950044,0.34815207,0.33538368,0.32621634,0.32422522,0.3315502,0.34631848,0.36457574,0.38056406,0.39177015,0.3987546,0.40444466,0.4092264,0.41079354,0.40657207,0.39707348,0.3864478,0.37884536,0.3756672,0.37420392,0.37035868,0.36100546,0.3452574,0.3239752,0.29932067,0.27454796,0.25287482,0.23648708,0.22596954,0.22172906,0.22341442,0.23005635,0.23821191,0.24455042,0.24627906,0.24361968,0.23767082,0.23042488,0.22309266,0.21695721,0.21282941,0.21114166,0.21152674,0.2132272,0.21559203,0.21810718,0.22037382,0.22217363,0.2243629,0.22839813,0.23484482,0.24199884,0.2470054,0.24954511,0.25245193,0.2601243,0.27316767,0.28872237,0.30147758,0.30839097,0.30860022,0.30432424,0.2986094,0.29448044,0.29277813,0.2929363,0.29481348,0.29972777,0.30883014,0.31998816,0.32858947,0.3308125,0.3275577,0.32301143,0.3205042,0.31959894,0.3176209,0.31361437,0.30969784,0.30973566,0.31652737,0.32969096,0.3454865,0.3582727,0.36382604,0.3616939,0.35435686,0.34648192,0.34186682,0.3437492,0.35177565,0.36371878,0.375986,0.3866514,0.39470756,0.39977252,0.40162826,0.40268913,0.40671316,0.41721043,0.43212423,0.44688165,0.45691204,0.4621483,0.46334216,0.4597293,0.4499303,0.4341242,0.41515493,0.39452946,0.3730779,0.35210368,0.33459106,0.32344055,0.31814286,0.31660333,0.3153871,0.31286517,0.3080908,0.30195114,0.29686907,0.29574814,0.30114785,0.31218788,0.32635581,0.3387189,0.34590438,0.345257,0.33807683,0.32837418,0.3225377,0.3243192,0.3326764,0.34271657,0.34992787,0.35383585,0.3565344,0.36127698,0.36806396,0.37559664,0.37983644,0.37925538,0.37333536,0.3658013,0.36009255,0.35912374,0.36194313,0.36565378,0.36742544,0.36547306,0.3593352,0.3471137,0.3279786,0.30102268,0.26811522,0.23060305,0.19165872,0.15437211,0.12295318,0.09931868,0.08300824,0.071426846,0.062233936,0.054471236,0.047997832,0.042871878,0.03873742,0.03621164,0.03737238,0.04590769,0.064671405,0.09375914,0.1294039,0.16649781,0.20117271,0.23349686,0.2654588,0.2997717,0.33586466,0.37048385,0.39649752,0.40761054,0.40122077,0.3818752,0.3580711,0.3373386,0.3217243,0.30892304,0.2956436,0.28196958,0.2695755,0.2595472,0.24969572,0.23878352,0.23060077,0.23433642,0.25834012,0.30412665,0.36554483,0.43414053,0.5016758,0.5605802,0.6010389,0.61482805,0.60018045,0.56570816,0.5264309,0.49659345,0.48333296,0.48498198,0.4934584,0.5002358,0.501172,0.4976624,0.49230304,0.48706877,0.48470637,0.49064758,0.50755733,0.52963066,0.54353875,0.54042816,0.5231239,0.5046574,0.4953922,0.49726257,0.5040037,0.5101741,0.5145208,0.5194188,0.52531046,0.52847236,0.5245298,0.51287216,0.5002856,0.49416342,0.49832448,0.5062708,0.5077115,0.49247614,0.4601905,0.41862372,0.380762,0.354455,0.33879113,0.326238,0.3113378,0.29584408,0.28576866,0.28485894,0.29127765,0.30086446,0.31119815,0.32193884,0.33290777,0.3420155,0.3472356,0.34761545,0.34508464,0.34197083,0.33974764,0.33719066,0.33143684,0.3198181,0.30174673,0.28086355,0.26314747,0.2538265,0.25231287,0.25352696,0.2518819,0.24641936,0.23997258,0.23621361,0.23651914,0.24023305,0.24577124,0.25209346,0.25955716,0.269555,0.28281212,0.29710016,0.3080152,0.31213126,0.31037053,0.30721155,0.3074132,0.31248942,0.32088533,0.32914576,0.33508804,0.33756757,0.33832872,0.33884403,0.34130037,0.34396127,0.34452856,0.33886155,0.32711437,0.3112882,0.2963579,0.28541163,0.2797017,0.27734724,0.27488124,0.26904014,0.25878695,0.246948,0.23900811,0.2406743,0.25351477,0.27401963,0.29484168,0.3101919,0.3176527,0.3188244,0.3159114,0.3111102,0.3053352,0.29953027,0.29468617,0.29280415,0.29521552,0.30177048,0.3099359,0.31722805,0.3212057,0.32037818,0.31287098,0.29928252,0.28264266,0.26868916,0.2618744,0.2637858,0.271412,0.27898058,0.2805357,0.2736716,0.26069635,0.2465847,0.23636718,0.23256767,0.23584418,0.24397577,0.25397715,0.26256773,0.26982322,0.27801418,0.29000604,0.3046656,0.3171061,0.32147655,0.31574437,0.30320728,0.29040155,0.28357807,0.28524175,0.2938442,0.30497518,0.3151543,0.32334444,0.33084038,0.33872887,0.34719455,0.35625443,0.36598572,0.37544855,0.38099864,0.37845555,0.36546597,0.34362873,0.316714,0.2897612,0.26794064,0.25568846,0.25433406,0.26129636,0.27194598,0.28295228,0.29341328,0.30358782,0.31310084,0.32077625,0.32536674,0.3257103,0.32141432,0.3129785,0.3026063,0.29189143,0.281533,0.27114758,0.26242185,0.25808635,0.2600077,0.26584315,0.27095318,0.2714442,0.26804554,0.26442555,0.26433602,0.266824,0.26794186,0.2633165,0.2533342,0.24138874,0.23248284,0.22879314,0.23024863,0.23403527,0.23791613,0.24099676,0.24464576,0.24938686,0.25466168,0.25853002,0.26055822,0.25984177,0.2555847,0.24633725,0.23373942,0.22170176,0.21456547,0.21372533,0.21717115,0.22141278,0.22229844,0.2171699,0.2052573,0.19044858,0.17867504,0.17535305,0.17985487,0.18736713,0.19134372,0.18896149,0.18030228,0.16799732,0.15479738,0.14341532,0.13537121,0.13037312,0.1270558,0.12351922,0.118482776,0.11082619,0.10042912,0.08815319,0.07594797,0.06593301,0.05994338,0.05925038,0.06446599,0.07534018,0.09111761,0.11106946,0.13479017,0.16175537,0.19046044,0.21870418,0.24372606,0.26400566,0.27907455,0.2902452,0.29818246,0.30282256,0.30402046,0.30465767,0.31040072,0.32510412,0.34722328,0.3698771,0.3866589,0.39315304,0.3881992,0.3715292,0.34606895,0.31595877,0.28617504,0.2588845,0.23515838,0.21536337,0.20203088,0.19846301,0.207667,0.22891442,0.25728238,0.28584728,0.3091735,0.32598576,0.3370138,0.34387627,0.34714937,0.34812188,0.3480899,0.34823498,0.34838474,0.34804514,0.34729108,0.34744743,0.34922346,0.35174215,0.3522838,0.34958044,0.3446231,0.33996892,0.33619428,0.33220163,0.32780373,0.32615972,0.33163413,0.34526667,0.36281022,0.377527,0.38443062,0.3824948,0.3732635,0.3601637,0.34786478,0.34214136,0.34630883,0.3586367,0.37226856,0.38019514,0.37890112,0.36985692,0.35641786,0.3425964,0.33055305,0.32128194,0.31376088,0.30754843,0.30289713,0.3003702,0.29837632,0.2933911,0.28278756,0.26751074,0.25185016,0.24006717,0.23388742,0.2320926,0.23225345,0.23151456,0.2272455,0.21781059,0.20481758,0.19369753,0.19159573,0.20266728,0.22489934,0.25077394,0.2720855,0.28508002,0.2920216,0.29794952,0.3058828,0.31517538,0.32357886,0.33078066,0.33870292,0.34965193,0.36281535,0.37461898,0.3803124,0.37805402,0.3690884,0.35743162,0.34662506,0.33907565,0.33502793,0.33380115,0.3340617,0.33478865,0.33559087,0.33690858,0.3398738,0.34512463,0.3518823,0.35728034,0.3572124,0.3485458,0.33061728,0.3064713,0.28078198,0.25856355,0.24252282,0.23309185,0.22869761,0.2276327,0.22927882,0.23366876,0.24011463,0.24650078,0.2503647,0.25114182,0.24980403,0.24829297,0.24666631,0.24456471,0.24158251,0.23958153,0.24025874,0.2435462,0.24641484,0.24540363,0.23934002,0.23012061,0.22168617,0.21698527,0.21663709,0.21770836,0.21720056,0.21381672,0.20993204,0.2077641,0.2079103,0.20856678,0.20874572,0.20933431,0.21276759,0.22059245,0.23203045,0.24404728,0.25391838,0.2616104,0.27056316,0.2839009,0.30130348,0.3176669,0.32850167,0.3328174,0.33442107,0.3359466,0.33758196,0.33624378,0.33063003,0.32075742,0.30837342,0.29397178,0.27855816,0.2645961,0.2565671,0.25811997,0.26853052,0.28388458,0.29944465,0.3139116,0.32606617,0.33403215,0.33303952,0.32150853,0.30139044,0.27937496,0.26131243,0.25123256,0.24916942,0.25268498,0.25819513,0.26314425,0.26698852,0.26955175,0.27040783,0.26854548,0.26452836,0.2598779,0.2569976,0.25685814,0.25999692,0.26493052,0.26971486,0.27080086,0.26693085,0.2595751,0.2544532,0.25689662,0.26885936,0.28654885,0.30241582,0.30924296,0.30239555,0.28297338,0.25533536,0.22747244,0.20478195,0.18985452,0.17963906,0.17077203,0.16124064,0.15317947,0.14962614,0.15289378,0.16205747,0.17435665,0.18565108,0.19314449,0.19576906,0.19534357,0.19457644,0.19533306,0.1970846,0.19831021,0.1988284,0.19964206,0.20093977,0.20064972,0.19728391,0.19250327,0.19058514,0.19431639,0.20244819,0.21084456,0.21549273,0.21490644,0.21013182,0.20371331,0.19809113,0.19508398,0.19517273,0.19758081,0.2001306,0.20134069,0.20094208,0.20020391,0.19938497,0.19801962,0.19508971,0.19083674,0.18617435,0.18229051,0.17986493,0.17827743,0.17576152,0.16951162,0.15811008,0.14177848,0.12302738,0.104262255,0.08746424,0.07315126,0.061507065,0.05235292,0.04537517,0.03983174,0.03478032,0.029844077,0.025254933,0.0216506,0.01916693,0.017513407,0.016129091,0.014733631,0.013278958,0.011912878,0.010813533,0.010179267,0.010124067,0.011208032,0.015224033,0.026429703,0.049545612,0.08688923,0.1345067,0.1852306,0.23247194,0.27428338,0.3093123,0.33441556,0.34423694,0.33734727,0.3180885,0.29564747,0.27823463,0.26990095,0.26955807,0.27320662,0.27807388,0.283358,0.28932938,0.29412228,0.2953849,0.2934748,0.29202756,0.29498172,0.30163065,0.3087261,0.31339204,0.3175933,0.32495415,0.33887723,0.35948622,0.38576278,0.41443503,0.44119647,0.45929137,0.46342957,0.4498527,0.42018953,0.37959054,0.3380324,0.30453408,0.28473425,0.2769566,0.2758789,0.276179,0.27709007,0.2808292,0.28910878,0.29977143,0.30921772,0.31595877,0.32166243,0.32697162,0.32894138,0.3234408,0.3112084,0.29950413,0.29716936,0.30559298,0.3168833,0.31940785,0.30954745,0.29310408,0.27983943,0.271824,0.26434675,0.25089702,0.23259883,0.21488285,0.20424397,0.20067827,0.20105654,0.19985212,0.19521098,0.18814768,0.18388788,0.1884228,0.20591138,0.23611407,0.27433172,0.31367612,0.34593543,0.36291638,0.35913718,0.33593214,0.3023509,0.27030233,0.24789558,0.23678368,0.2338899,0.23618186,0.24189478,0.25060093,0.25961998,0.2644653,0.2603205,0.24736424,0.23156935,0.22307032,0.2291345,0.25031567,0.27884737,0.304389,0.3189099,0.32113934,0.3149129,0.3067845,0.3031625,0.30832377,0.32357284,0.34584573,0.37004998,0.39068723,0.4050783,0.41283706,0.4155561,0.4151316,0.4135306,0.41246662,0.4136552,0.41842064,0.42714798,0.43807042,0.44665882,0.44590876,0.42944947,0.39564982,0.35033324,0.3038214,0.2652133,0.2372234,0.21664494,0.19756794,0.17596138,0.15198146,0.12977165,0.11468315,0.10926945,0.11192148,0.1178307,0.12339685,0.12947278,0.1428331,0.17188187,0.22061662,0.2835139,0.34770843,0.39862612,0.42698848,0.43170932,0.42074862,0.4068493,0.40064204,0.40285647,0.4064825,0.40528944,0.40308502,0.40942267,0.42990455,0.45900932,0.48418593,0.49363843,0.48134616,0.4486182,0.40288296,0.35511455,0.31490457,0.28685036,0.27108318,0.26556042,0.2684095,0.27697346,0.28798437,0.2979528,0.30548143,0.31185496,0.32015482,0.3323387,0.34655586,0.357313,0.35881102,0.35017315,0.3364676,0.32579362,0.32319307,0.32826313,0.33625257,0.34184662,0.34285626,0.34074315,0.339425,0.3402227,0.3419194,0.3416206,0.3403641,0.34058967,0.34459126,0.35068366,0.35702255,0.36280474,0.36817428,0.37146863,0.36946,0.3603795,0.34551832,0.32837024,0.31270877,0.30145314,0.29591155,0.2941779,0.29129794,0.2819147,0.2639818,0.24069376,0.2194285,0.20937295,0.21775681,0.24590123,0.28665018,0.32582808,0.34967947,0.35185656,0.33812273,0.32052207,0.3113661,0.31466874,0.32641265,0.33631206,0.3349054,0.31846094,0.28993413,0.2566111,0.2251023,0.2001789,0.18251307,0.17005193,0.15937091,0.150491,0.1480944,0.15833548,0.18325533,0.21787123,0.2534989,0.28140935,0.29635224,0.2966157,0.28467098,0.26640508,0.24901508,0.23804913,0.23490435,0.23712295,0.2406132,0.2424442,0.24226053,0.24042791,0.23661663,0.22994602,0.22162546,0.2155919,0.21539403,0.22188295,0.23210299,0.24355333,0.2539601,0.26244476,0.265636,0.2604082,0.24467206,0.2209814,0.1940213,0.16818286,0.14518777,0.12499112,0.1075314,0.09289173,0.08107925,0.07141896,0.06336882,0.05647172,0.050558615,0.04525097,0.04030426,0.035625238,0.03190486,0.03145432,0.039219737,0.06211861,0.105558015,0.1684206,0.24061406,0.3052996,0.3470888,0.3591293,0.34774104,0.32653788,0.3086926,0.29824665,0.29310384,0.29056036,0.29328215,0.3038735,0.32056728,0.3356994,0.345021,0.3501338,0.35636294,0.36293554,0.36384287,0.3524743,0.32963136,0.30156615,0.27650216,0.25952506,0.2530917,0.25596365,0.26473096,0.2738557,0.27954242,0.280413,0.27796018,0.27425274,0.27076736,0.26842794,0.267148,0.26709405,0.267354,0.26711702,0.26508632,0.26151335,0.25820673,0.2575412,0.2610934,0.2679466,0.27677372,0.28575158,0.2947015,0.30255368,0.30783346,0.30811182,0.3037161,0.29789376,0.29587355,0.29929933,0.30627015,0.31097534,0.3096902,0.2999431,0.28389734,0.26472977,0.24797527,0.23738724,0.23532306,0.2405396,0.24961887,0.25783077,0.2617716,0.2607136,0.25586098,0.2488138,0.23986043,0.22963445,0.2196027,0.21407443,0.21735986,0.23273496,0.25816646,0.2876415,0.31276086,0.32832864,0.3346255,0.33613846,0.3369304,0.3356558,0.32775822,0.3096952,0.28529596,0.2618354,0.24616809,0.23859352,0.2356851,0.23225789,0.22580774,0.21770906,0.2129034,0.2166547,0.22989331,0.24847586,0.26500413,0.27434602,0.27536285,0.27142325,0.26609576,0.26124343,0.25628254,0.25026262,0.24413854,0.23956078,0.23956664,0.24428129,0.2529141,0.26083943,0.26574376,0.26603088,0.26398245,0.26104614,0.25972036,0.26153183,0.26791036,0.27764997,0.28744617,0.29303563,0.2918599,0.28417948,0.27302548,0.26196966,0.25375348,0.24938685,0.24930139,0.2528359,0.2575794,0.2595378,0.2552358,0.24436778,0.2295313,0.21566969,0.20892327,0.21709907,0.24646437,0.2977518,0.36127684,0.41994599,0.45605257,0.46220842,0.44454002,0.41904303,0.40018508,0.3938757,0.39812124,0.41074142,0.4328895,0.46455622,0.49670625,0.5120175,0.49661055,0.45307326,0.40039992,0.3596995,0.33825096,0.3272264,0.31315657,0.29094478,0.2664272,0.24856134,0.24169952,0.24400239,0.25209004,0.26334783,0.27560785,0.28504565,0.2881777,0.28450432,0.2775263,0.27166095,0.26880208,0.26781395,0.26693842,0.26644573,0.2680147,0.27206197,0.27589616,0.27569517,0.2698505,0.261627,0.25618517,0.25763866,0.2640647,0.27135304,0.2745017,0.2733859,0.26885894,0.26360044,0.2590995,0.2580058,0.26221964,0.27223337,0.28591725,0.299456,0.3088777,0.31172296,0.30776617,0.29902124,0.28834447,0.2782087,0.27016637,0.26519963,0.26436487,0.26832345,0.27636504,0.286312,0.29544532,0.30284715,0.30961528,0.31796312,0.32861593,0.33923998,0.34535876,0.34269348,0.33141991,0.31619343,0.30474535,0.30206987,0.30950233,0.32422438,0.3421092,0.35691226,0.36194476,0.35347864,0.33509788,0.315689,0.30186024,0.2922795,0.28072497,0.26353386,0.24339367,0.22613646,0.2159344,0.21360631,0.21729596,0.2241044,0.23054479,0.23417307,0.2341714,0.23242474,0.2323602,0.23723973,0.24712221,0.25811255,0.26473185,0.26422107,0.25906885,0.25528312,0.25862586,0.27063623,0.28725985,0.30000377,0.300451,0.2850875,0.25728452,0.22429861,0.19264852,0.16544984,0.14318506,0.1254244,0.111649476,0.10109061,0.09256212,0.08512624,0.078434356,0.07276624,0.067912035,0.0631529,0.057507366,0.051316183,0.046249986,0.04481016,0.048424616,0.057036895,0.069428995,0.084994696,0.1040879,0.12787092,0.15641047,0.18792208,0.21830718,0.24282396,0.2581381,0.26431575,0.26515493,0.2657188,0.2695838,0.27608916,0.28211388,0.2842042,0.2818166,0.27716777,0.27386954,0.27497783,0.27995208,0.2845718,0.28205812,0.26904878,0.24827063,0.22740108,0.21288876,0.20682015,0.20724066,0.21297306,0.22384995,0.24134994,0.26462027,0.2915597,0.3182007,0.34071139,0.35610566,0.36273143,0.36253926,0.35923672,0.35827684,0.36190715,0.37197697,0.38896775,0.4148879,0.44723153,0.47848275,0.49617973,0.4917387,0.46655667,0.4326338,0.40536723,0.39257193,0.39308822,0.39995804,0.40997458,0.42315617,0.44116697,0.46373877,0.4892938,0.51702803,0.5441676,0.5647931,0.5689123,0.55058104,0.51606184,0.48152152,0.46226564,0.45738962,0.4538777,0.43642768,0.40329328,0.36445066,0.333254,0.31454048,0.3028922,0.2911218,0.27697006,0.26535308,0.26023415,0.26213387,0.26773328,0.2751778,0.2843792,0.29592118,0.3087503,0.32052115,0.3294028,0.3353914,0.33991948,0.34354103,0.3444357,0.339084,0.32470176,0.30142888,0.27259395,0.24394804,0.22161345,0.21015035,0.2104552,0.22009571,0.2342598,0.24875753,0.26078555,0.2705606,0.28060496,0.29455885,0.3142284,0.33573815,0.35113326,0.35171345,0.33631507,0.3116804,0.28970292,0.27876565,0.28074932,0.29175472,0.3067398,0.32072663,0.3301922,0.33171836,0.3249329,0.31024852,0.29112282,0.27035737,0.25197992,0.23709399,0.22583176,0.21647994,0.20872636,0.20236714,0.1976559,0.1944425,0.19273682,0.19161741,0.1885571,0.18138362,0.17119151,0.16421886,0.16755627,0.18416476,0.20918845,0.23402834,0.251677,0.2609557,0.2641056,0.2637132,0.26118186,0.25918785,0.26223615,0.2738625,0.29201794,0.30910802,0.31775305,0.31694743,0.31302014,0.31289685,0.31745958,0.3187275,0.30695036,0.27888256,0.24289258,0.21248418,0.19669294,0.19452329,0.1992985,0.20638227,0.21553306,0.22800268,0.24172056,0.25271595,0.25756228,0.25708663,0.25430575,0.25340274,0.25650156,0.26454633,0.27615204,0.28920707,0.30015442,0.30645594,0.30728707,0.3048043,0.3020604,0.30094123,0.30130747,0.30185488,0.30218422,0.30249515,0.30319473,0.30322036,0.3009569,0.29496264,0.28547633,0.27408862,0.26293156,0.25342345,0.24561755,0.2387916,0.23215793,0.22574674,0.21990363,0.21542913,0.21274461,0.21200846,0.21155597,0.20947649,0.20476805,0.20064282,0.20148998,0.21017449,0.22365916,0.23683085,0.24514598,0.24899276,0.25116694,0.25684896,0.26925075,0.28906974,0.31106782,0.32865092,0.33663842,0.33577323,0.32885137,0.31840184,0.30418834,0.28649637,0.26775402,0.25342005,0.24801838,0.25308585,0.2656004,0.28172505,0.29715315,0.30817166,0.30998245,0.30016217,0.28098825,0.2595792,0.2429455,0.23344481,0.22896045,0.22684662,0.22653854,0.22825383,0.22907953,0.22434497,0.21138696,0.19487621,0.18313561,0.18237092,0.1906348,0.20054166,0.20479701,0.20128642,0.19290642,0.18436581,0.17927885,0.1789307,0.18301941,0.18930972,0.194075,0.19207744,0.18002127,0.15811062,0.1311691,0.10501795,0.08425955,0.070289284,0.06230883,0.058094237,0.055318188,0.052435663,0.04913413,0.046013247,0.043943454,0.044053566,0.048028078,0.058347363,0.07746736,0.10644444,0.14321843,0.18268687,0.21855964,0.24662131,0.26648903,0.28118595,0.29479623,0.30941615,0.32348692,0.33214176,0.33099332,0.31951106,0.30188107,0.28360742,0.26741865,0.25248167,0.23630287,0.21819502,0.19913709,0.18121798,0.16567264,0.15444924,0.15039404,0.15706544,0.17453636,0.19739132,0.21695621,0.22761881,0.23107232,0.23287694,0.23671912,0.24125016,0.24351543,0.24257542,0.23984309,0.23750114,0.23683548,0.23854178,0.24219908,0.24740128,0.25407693,0.26225433,0.26966807,0.27222613,0.26731798,0.25722727,0.2475212,0.2426058,0.24300201,0.24610023,0.24833786,0.24690783,0.24106686,0.23236899,0.22318679,0.21479796,0.20711727,0.20039035,0.19634153,0.19789815,0.20646173,0.22038643,0.23395877,0.24158354,0.24075212,0.23493217,0.22959612,0.22894107,0.23268287,0.23798381,0.24110045,0.24006273,0.23432823,0.22607036,0.21754086,0.21156447,0.20841539,0.20878096,0.21269713,0.22052367,0.22957532,0.23438783,0.23030345,0.21704054,0.19962358,0.18308336,0.16999559,0.16067582,0.15608706,0.15831567,0.16746758,0.18126868,0.1949475,0.20542765,0.21135117,0.21418893,0.21565999,0.2175709,0.22081636,0.22614495,0.23371176,0.24302113,0.25241792,0.26022625,0.26508808,0.2673255,0.26772514,0.26857537,0.27172664,0.2791032,0.28921425,0.29870486,0.3028624,0.30035067,0.2926661,0.28384948,0.27718842,0.2747861,0.27618277,0.27919278,0.28068033,0.2790402,0.27436137,0.26771912,0.25865984,0.2453319,0.22590762,0.20150495,0.17654629,0.15622634,0.14320567,0.13605218,0.1319838,0.12966837,0.1316051,0.14163081,0.16248447,0.19152413,0.22229654,0.2462471,0.25944126,0.2634078,0.2657206,0.27382764,0.29165384,0.31665245,0.34223136,0.36153224,0.37070513,0.37015787,0.36279452,0.35258794,0.3428502,0.3363953,0.335071,0.33817205,0.34137008,0.33736184,0.3214502,0.29498687,0.26583257,0.2422971,0.2280419,0.22055207,0.21454221,0.20717232,0.19996734,0.19696425,0.19972593,0.20536762,0.2086793,0.20712775,0.20218451,0.19742537,0.19400157,0.1910099,0.18696523,0.183267,0.18270083,0.18746687,0.19699346,0.20868962,0.22010809,0.22969556,0.2371762,0.24221514,0.24473096,0.24468966,0.24301867,0.24159472,0.24269624,0.2475038,0.25454688,0.26021752,0.26063034,0.25435883,0.24328655,0.23172855,0.22478797,0.22568917,0.23552765,0.2518336,0.27133766,0.2897272,0.30471665,0.3144172,0.31800994,0.31430864,0.30372,0.28955364,0.2784284,0.27710155,0.28892314,0.3104429,0.33386996,0.34951553,0.35248116,0.342489,0.3248922,0.3053683,0.28910244,0.27803078,0.27154794,0.26673338,0.25963232,0.24798964,0.23144972,0.21341516,0.19779916,0.18885483,0.18702938,0.19069953,0.19569375,0.19907446,0.19869022,0.19477083,0.18845133,0.18243064,0.17922767,0.18006606,0.18334307,0.1857617,0.1857689,0.18573862,0.19044603,0.20206608,0.21713533,0.22902672,0.23250355,0.22769232,0.21790217,0.20771074,0.19924806,0.19305049,0.18750258,0.18147111,0.17473774,0.16907161,0.1659116,0.16486396,0.16299061,0.15753888,0.14823125,0.13788092,0.12973115,0.12513359,0.123072095,0.12161824,0.119180135,0.114644416,0.10771239,0.099110365,0.0905585,0.08343911,0.07796153,0.073355876,0.0687617,0.063755386,0.058082115,0.051728904,0.0448705,0.038171846,0.03236461,0.02814699,0.025709828,0.024933917,0.025273321,0.026202803,0.027240269,0.028394176,0.030080104,0.033031028,0.037794366,0.04446814,0.052635223,0.061651845,0.071251504,0.08221116,0.09611311,0.11399823,0.13456059,0.15441667,0.16993009,0.1800056,0.18581073,0.18974698,0.19278789,0.1950982,0.1956241,0.19379632,0.18867244,0.18055487,0.17066397,0.16225831,0.15859453,0.16199164,0.1717118,0.18492992,0.1972288,0.20513113,0.2067216,0.20282094,0.19579442,0.18912561,0.18593001,0.18829936,0.19564106,0.20507467,0.21337949,0.21980987,0.22612484,0.23406553,0.24390191,0.25453123,0.26525882,0.27493545,0.28248274,0.28655005,0.28811157,0.28932145,0.2938955,0.30354926,0.31796274,0.33260977,0.34164587,0.34080133,0.33071968,0.3167601,0.30419937,0.29582575,0.28988984,0.28404388,0.27592427,0.2654966,0.25393316,0.2448374,0.24219172,0.24860513,0.26220563,0.27813843,0.29094538,0.2978932,0.2984811,0.2938017,0.28550026,0.2759626,0.26764885,0.2619543,0.25818315,0.25415322,0.2477584,0.23933041,0.23072128,0.22451176,0.22095273,0.22048424,0.22331868,0.23137869,0.24402595,0.2584871,0.26956055,0.27339396,0.26894513,0.25838634,0.24617098,0.23573871,0.22806118,0.22106133,0.21345955,0.20687318,0.20513274,0.21037178,0.22040635,0.23021412,0.23578727,0.23651488,0.23483425,0.23313516,0.23283629,0.23400275,0.23715697,0.24302037,0.25259253,0.2662013,0.28336433,0.30226147,0.3196629,0.33161762,0.3344525,0.32696548,0.311468,0.29451063,0.28338626,0.28249678,0.289825,0.29920685,0.30382857,0.30120477,0.2930517,0.28440747,0.2789291,0.27788976,0.27905738,0.27984396,0.27793324,0.2721738,0.26155415,0.24610667,0.2276321,0.20977235,0.19643228,0.19064839,0.19381101,0.20556755,0.22309624,0.24229844,0.25930402,0.27211857,0.27969915,0.2815503,0.27816448,0.2721437,0.26727226,0.2656311,0.26625845,0.26597688,0.26256296,0.2564036,0.24995627,0.24617194,0.24548,0.24607714,0.24424417,0.23908477,0.23297189,0.23062699,0.23309971,0.23698336,0.23628075,0.22926927,0.21915229,0.21231116,0.21177764,0.21640198,0.22232239,0.22768313,0.23361987,0.24271238,0.2557758,0.27009404,0.28080818,0.28445718,0.2826256,0.2806836,0.2826533,0.28678286,0.28698015,0.27884874,0.26355162,0.24744935,0.237858,0.23863123,0.2486238,0.26211813,0.27405515,0.2807196,0.2815582,0.2756908,0.26439312,0.25022498,0.23764062,0.22940826,0.22537269,0.22261381,0.21772791,0.20921381,0.19832824,0.18809764,0.18127823,0.17885399,0.18001617,0.18294315,0.18567593,0.18670857,0.18551187,0.18318005,0.18236355,0.18580042,0.19454241,0.2070055,0.22039491,0.23207408,0.24093099,0.24710898,0.25200117,0.25708303,0.2632846,0.26994404,0.27608228,0.28063068,0.28377497,0.28477192,0.2825385,0.27454245,0.2605026,0.24239253,0.22587942,0.2154246,0.21254171,0.2138151,0.21564762,0.21724863,0.22139911,0.23141365,0.24731845,0.2667826,0.2853223,0.29993296,0.3083531,0.31071305,0.30817318,0.30200577,0.29262975,0.27855742,0.25944984,0.23631464,0.21351391,0.19506784,0.1837302,0.17893313,0.17807062,0.17744093,0.1738228,0.16584443,0.15428142,0.14111121,0.12808196,0.11574348,0.103950225,0.092184186,0.080425076,0.06899694,0.058702957,0.05011299,0.04348601,0.038581192,0.03497541,0.03219152,0.03009218,0.02938529,0.03209326,0.041283704,0.05996877,0.08899703,0.12580268,0.16412151,0.19661254,0.21728627,0.22471727,0.22168224,0.21486051,0.21044578,0.21235116,0.21898536,0.22690876,0.23262012,0.23710877,0.2426389,0.25132227,0.26122835,0.2690424,0.27155882,0.2684188,0.26059568,0.2498067,0.23725231,0.22493476,0.21475135,0.20859908,0.2066877,0.2090472,0.21503915,0.2237726,0.23219885,0.23678564,0.23533577,0.22961856,0.22311576,0.21851484,0.21518774,0.21148343,0.20648092,0.20176399,0.19965084,0.20207487,0.20900194,0.21889646,0.22906859,0.23742045,0.24293976,0.24675542,0.25013998,0.25423968,0.2579858,0.26068175,0.26152578,0.2616427,0.26113558,0.26063576,0.26042017,0.2629161,0.269605,0.28028706,0.291538,0.30056223,0.3061805,0.30935678,0.3103269,0.30921558,0.30626562,0.30319273,0.3011856,0.30055916,0.30009103,0.29875094,0.2956787,0.29083034,0.28457066,0.2775203,0.2705653,0.26459745,0.26162127,0.262234,0.26487923,0.2643789,0.25778958,0.24681775,0.23845321,0.23784597,0.24453633,0.252579,0.2556487,0.2513496,0.24099831,0.22811502,0.21549143,0.20588295,0.2007149,0.20093298,0.2057179,0.21460384,0.22655211,0.2399189,0.2510417,0.2564906,0.2555788,0.2506209,0.24491952,0.2400866,0.23687077,0.23575069,0.23698433,0.23927252,0.23983915,0.23720378,0.23230837,0.22905374,0.23075551,0.23930593,0.25344256,0.26979247,0.28291956,0.287805,0.2837927,0.2765052,0.27515802,0.28365576,0.2966495,0.30210903,0.29264042,0.2701626,0.24380128,0.22087495,0.20317543,0.18924868,0.1776638,0.16870339,0.16136937,0.1542479,0.14581417,0.13745652,0.13262063,0.1356439,0.14869471,0.17026488,0.19474603,0.21501021,0.22523981,0.22405507,0.21437101,0.20163232,0.19039537,0.18220699,0.17641103,0.17129661,0.16601944,0.1592734,0.15040378,0.13934268,0.12803392,0.11865222,0.11218055,0.108444564,0.107139,0.10925239,0.11551694,0.1262811,0.14079066,0.15826881,0.17735755,0.19588661,0.21116622,0.22094636,0.22513427,0.22602491,0.22786589,0.23453747,0.24702103,0.2631079,0.27839315,0.29061815,0.3001268,0.31006142,0.32256365,0.33795726,0.3547511,0.37055647,0.38309637,0.3898861,0.38926533,0.38059613,0.36530963,0.34753326,0.3326007,0.32503024,0.32543585,0.3314613,0.33884397,0.34442496,0.3463724,0.34528294,0.34204042,0.33808312,0.3332788,0.328377,0.3234794,0.3197934,0.3175819,0.31727195,0.3187761,0.3208365,0.32172212,0.31903684,0.31349733,0.30683672,0.30194223,0.29801747,0.29324016,0.28526643,0.27539274,0.26669717,0.2635564,0.2689103,0.2834543,0.30406928,0.3232803,0.33369255,0.3330153,0.32853094,0.3282998,0.33336294,0.3329962,0.3174182,0.28667864,0.2526941,0.22745265,0.21602142,0.21586584,0.22301127,0.23411894,0.24715745,0.25908807,0.26758993,0.27067077,0.26890326,0.26356506,0.2572173,0.2517351,0.24870448,0.24830677,0.24982257,0.25298688,0.2585256,0.26787278,0.2796062,0.28991807,0.29375592,0.2896399,0.27986157,0.26942953,0.2618312,0.2572755,0.25337383,0.24815749,0.24172485,0.23499937,0.22780408,0.2184217,0.20497523,0.18660438,0.16394521,0.13914661,0.11515507,0.09450086,0.078084804,0.065378286,0.055474516,0.047873784,0.042472173,0.03896637,0.036850557,0.03580505,0.03652498,0.04091431,0.051601578,0.070585206,0.097836755,0.13046785,0.1640359,0.19534902,0.22477026,0.254248,0.28292271,0.30564108,0.31712425,0.31799486,0.31394506,0.3101156,0.30562297,0.2953306,0.27598932,0.2500396,0.22593534,0.21204607,0.21230601,0.22271828,0.23519106,0.24291134,0.24476236,0.2449693,0.24910124,0.26009414,0.2765579,0.29438916,0.3114705,0.3290511,0.34996912,0.3728803,0.39305362,0.4069182,0.41613734,0.42246342,0.42263412,0.4107112,0.3905637,0.37913868,0.39658508,0.44555458,0.5064415,0.54769355,0.55046517,0.51664346,0.46708658,0.4222535,0.39618146,0.3899295,0.39952505,0.41701826,0.43772283,0.45875657,0.4789267,0.4956824,0.5061488,0.50716645,0.49436235,0.4643855,0.4197346,0.37172937,0.33337924,0.30992904,0.29594812,0.2824122,0.26489648,0.24532361,0.22817357,0.21633035,0.20978981,0.20698567,0.20649539,0.20875736,0.21507691,0.22610949,0.23975198,0.25262737,0.26154688,0.26530102,0.26414406,0.26000205,0.2557003,0.25369325,0.2542217,0.25552872,0.25600648,0.2557594,0.25616765,0.25765157,0.2593144,0.2596094,0.25825453,0.25616148,0.25432935,0.253063,0.2518626,0.25146672,0.25320837,0.25941846,0.27073753,0.28681016,0.30435613,0.3195518,0.32822266,0.3297585,0.32522044,0.31751433,0.30834103,0.3006125,0.29688898,0.2984767,0.30201402,0.3018389,0.29470155,0.28339902,0.27457178,0.2724098,0.27552888,0.2777673,0.27406868,0.2625041,0.24597667,0.22796214,0.21233666,0.1997528,0.18995632,0.18065172,0.17137603,0.16267969,0.15705113,0.15615137,0.1610599,0.17191857,0.18870483,0.20971137,0.23179965,0.2514589,0.26867327,0.28571895,0.3049731,0.3237238,0.33748874,0.3428218,0.3428947,0.34349862,0.35059866,0.36433032,0.3805033,0.39209452,0.39533794,0.39151177,0.3852115,0.37890837,0.37001225,0.35462275,0.3323828,0.30896854,0.29151127,0.28442475,0.28720883,0.29592732,0.3054105,0.31067488,0.3098186,0.30397543,0.29713878,0.29157075,0.28756952,0.28431484,0.2831787,0.2863364,0.29342458,0.30049455,0.30356738,0.30314276,0.30359462,0.30845752,0.31629038,0.32174635,0.31937796,0.30858532,0.2938167,0.28328535,0.28257635,0.29148456,0.3028964,0.30885708,0.30615532,0.29839012,0.29158366,0.28922924,0.29049972,0.29281738,0.29453775,0.29640788,0.30032757,0.30670556,0.31341848,0.31685296,0.3163596,0.31428933,0.3149823,0.3205979,0.33128694,0.34464785,0.3570428,0.36412382,0.36334172,0.35489842,0.34221175,0.32983717,0.3225751,0.3224554,0.328532,0.33682477,0.34433103,0.35024104,0.35467502,0.35565606,0.34835216,0.33024102,0.30358347,0.27624655,0.2549204,0.24233639,0.23621707,0.23317824,0.23141368,0.23106532,0.2336487,0.23970592,0.24889489,0.2587798,0.2666091,0.26948583,0.2667837,0.25976995,0.25157228,0.24484871,0.24044698,0.23708771,0.23290671,0.22821093,0.22550792,0.22747004,0.23331265,0.23914914,0.24096604,0.238079,0.23313393,0.22884195,0.22614922,0.22319926,0.21902071,0.2126915,0.20515896,0.19561069,0.18429762,0.17118986,0.15825461,0.14686821,0.13815317,0.1320582,0.12803003,0.12483495,0.12074805,0.11453297,0.10583529,0.09567455,0.085172236,0.07547859,0.067119665,0.061167944,0.05929126,0.06372661,0.075534135,0.09385354,0.11651027,0.14218962,0.17057373,0.20095305,0.22999768,0.2537484,0.26982304,0.2795314,0.2850482,0.2882321,0.28998038,0.2917929,0.29541036,0.30140635,0.309028,0.31552362,0.31781927,0.3128313,0.300311,0.28235945,0.2622428,0.24244224,0.22473907,0.21140341,0.20403403,0.20311183,0.20768072,0.21743692,0.23231189,0.25107852,0.26989773,0.28415966,0.29124323,0.29219428,0.28986847,0.28712288,0.28511333,0.2843949,0.28475758,0.28626063,0.28842095,0.29113606,0.29392794,0.2969788,0.3005434,0.30645382,0.31651747,0.3318982,0.34924114,0.36255002,0.36562335,0.35847485,0.34610108,0.3355305,0.33017704,0.32999417,0.3327966,0.3359543,0.33665514,0.3323172,0.32202113,0.30682614,0.28924322,0.2715926,0.2555471,0.24214877,0.23217203,0.2259146,0.22326839,0.22440173,0.22981574,0.23985274,0.25317317,0.2666633,0.27656904,0.2806306,0.27984485,0.27733123,0.27659854,0.27863786,0.28309402,0.28840438,0.29386112,0.29719976,0.29586795,0.28622967,0.2682464,0.24515797,0.2242739,0.21092469,0.20607714,0.20447528,0.19958836,0.18783273,0.17150532,0.15688227,0.15013643,0.15379673,0.1654035,0.17994402,0.19336778,0.20535044,0.21801156,0.23259772,0.24739449,0.25925294,0.26673612,0.2707493,0.27318203,0.2747054,0.27559844,0.27587095,0.2761996,0.27649385,0.27677596,0.27677464,0.2769724,0.2778798,0.28002158,0.28319284,0.28613305,0.2875817,0.28655395,0.2835591,0.27872106,0.27292097,0.266263,0.25970295,0.25282258,0.24554253,0.23745818,0.22957093,0.22271077,0.21748467,0.21374367,0.21142292,0.21042949,0.21037503,0.21008156,0.20842431,0.2047344,0.20007022,0.19581072,0.19341755,0.19240367,0.19191176,0.19139309,0.1922457,0.19623566,0.20383531,0.21328081,0.2219336,0.22767024,0.22967319,0.22755958,0.22207181,0.21483146,0.20909475,0.2074921,0.21102549,0.21802275,0.22612531,0.23365079,0.23956013,0.24169111,0.23659949,0.22279686,0.2037764,0.18720223,0.17919451,0.18041612,0.18659289,0.19340487,0.19925618,0.2049595,0.2114387,0.21888179,0.22742641,0.23746888,0.24843085,0.2577403,0.2615511,0.2583908,0.250389,0.24226034,0.23697734,0.2350996,0.23569189,0.2385749,0.24346702,0.2487865,0.25169837,0.25022772,0.24526624,0.2401247,0.2379331,0.23933278,0.24232994,0.24490315,0.24624254,0.24735332,0.24914642,0.25288305,0.25857878,0.2657112,0.27184248,0.27533272,0.27516964,0.27195156,0.26512825,0.25413015,0.23878281,0.22236228,0.20942278,0.20459954,0.2082597,0.21752466,0.2263108,0.23001814,0.22678597,0.21948689,0.21388112,0.21710412,0.23478346,0.26580772,0.30152193,0.32743415,0.3349382,0.32429427,0.30440482,0.28270903,0.26304212,0.24690151,0.2367229,0.23518407,0.24108922,0.24938248,0.25323257,0.2499339,0.24149537,0.23349191,0.22918122,0.22861028,0.2273225,0.22106683,0.20669405,0.18639763,0.16518265,0.1493131,0.14107084,0.13887121,0.13896324,0.1390522,0.1390431,0.13985844,0.1415708,0.14361759,0.14574698,0.14872484,0.15297236,0.15758735,0.16112743,0.16318947,0.16530742,0.16893609,0.17404419,0.17851637,0.18045999,0.1798913,0.17864347,0.17824139,0.1779964,0.17627971,0.1730618,0.17186283,0.17719454,0.19038427,0.2069516,0.21997054,0.22560197,0.22590853,0.224853,0.2236435,0.21970741,0.21165358,0.20156641,0.19396019,0.19117789,0.1930532,0.19760816,0.20249717,0.20462632,0.20167188,0.19421619,0.18552496,0.17898218,0.17492284,0.17190291,0.16844155,0.16534863,0.16399263,0.16487469,0.1659523,0.16455412,0.15982728,0.15428184,0.15152667,0.15326226,0.15785341,0.1625291,0.16551323,0.16695563,0.16743784,0.16690858,0.16472577,0.16052926,0.15546334,0.15131433,0.14965256,0.14965676,0.1492701,0.14647685,0.14189886,0.13753006,0.1352669,0.13491605,0.13542439,0.13580664,0.13573526,0.13460042,0.13125701,0.12475041,0.11489714,0.10261678,0.08915184,0.07593462,0.0639416,0.053652238,0.044872988,0.037250888,0.030761855,0.025700144,0.022294035,0.020235375,0.018885387,0.017688548,0.016410934,0.015084841,0.0136821605,0.012263379,0.010886163,0.0098136375,0.00914487,0.008890748,0.008833888,0.0088507645,0.008913086,0.00917522,0.009734712,0.010500484,0.011113199,0.011154757,0.01043585,0.009124134,0.007641028,0.006364897,0.0054834294,0.0049309,0.004544763,0.0041739,0.0038330117,0.0036838932,0.0039854236,0.004904192,0.0063832267,0.008114983,0.009702138,0.010907549,0.011683351,0.012149041,0.012384631,0.012475577]