[0.0006796494,0.00078008074,0.0009778431,0.0011689052,0.0012550246,0.0012017168,0.0010602438,0.0009372613,0.0009248997,0.001036992,0.0011995862,0.0013002376,0.0012630553,0.0010955246,0.00087997894,0.0007170201,0.00065841904,0.0006789824,0.0007044472,0.0006759697,0.0005948636,0.00051564135,0.00049507787,0.0005437524,0.00061815535,0.0006547537,0.00061630463,0.0005158649,0.00040495093,0.00033794422,0.00033638833,0.00037928644,0.0004205235,0.0004214508,0.00037203365,0.00029300732,0.00021983297,0.00018283195,0.00022624336,0.00048057953,0.0012550419,0.0029273927,0.005604733,0.008723008,0.011173894,0.011951686,0.010927205,0.008876253,0.00686588,0.00548128,0.00469625,0.004190904,0.0038316401,0.003738841,0.004182864,0.0052552037,0.0067683705,0.0082046455,0.009017035,0.009003162,0.0086446395,0.008973285,0.010881628,0.014376665,0.018330146,0.021145904,0.021785969,0.020558612,0.019007325,0.019034324,0.021672554,0.026382593,0.031288866,0.03441257,0.0349441,0.033856943,0.033182885,0.034799144,0.0393849,0.04640438,0.054673254,0.06293774,0.0704476,0.07705277,0.08346074,0.09036407,0.098158814,0.10638285,0.11486378,0.123569846,0.13244559,0.139885,0.14362083,0.14239924,0.13782056,0.13284522,0.12919565,0.12568152,0.12040862,0.11327209,0.107273184,0.10561061,0.10921792,0.115394376,0.12076413,0.123654746,0.125423,0.12760387,0.13054802,0.13303794,0.13564497,0.14069112,0.15060993,0.16356574,0.17439647,0.17855586,0.17717226,0.17527385,0.17694385,0.18082614,0.18293147,0.18065053,0.1754307,0.16954993,0.16314416,0.1542599,0.14245905,0.13169657,0.1278614,0.13394381,0.14639127,0.15766318,0.16146488,0.15681714,0.1472467,0.13713707,0.12895802,0.12313804,0.119671695,0.11860242,0.11945721,0.120872386,0.121638395,0.12226966,0.12478,0.13061702,0.13849632,0.14509451,0.14815526,0.14876594,0.1499813,0.15360297,0.15871936,0.16416968,0.17095077,0.18263511,0.2013696,0.22597201,0.2508043,0.27014256,0.27949035,0.2790314,0.27201617,0.2648346,0.26179108,0.26275405,0.26276264,0.25723508,0.24609411,0.23265843,0.22064568,0.21101034,0.20399667,0.19909102,0.196202,0.19432871,0.19274288,0.19078974,0.18827479,0.1850627,0.18144675,0.17776985,0.17428501,0.1705078,0.16623418,0.16138393,0.15700318,0.15354817,0.15127103,0.14942937,0.14838664,0.14950536,0.15443371,0.16323878,0.17384495,0.18368019,0.19111209,0.19660646,0.20134594,0.20630871,0.21103905,0.21515195,0.21805818,0.21985656,0.22010346,0.21876185,0.21576662,0.21104862,0.20394059,0.1943847,0.18380815,0.1765449,0.17627336,0.18345009,0.19302797,0.19830994,0.19696008,0.19197471,0.19086295,0.19699298,0.20847382,0.21700288,0.2156207,0.2033298,0.18649425,0.17459065,0.17354804,0.18164839,0.19108118,0.19298355,0.18492746,0.1708457,0.15803613,0.15111266,0.14939536,0.14892644,0.14447354,0.1351315,0.123567015,0.115465164,0.1143125,0.12088779,0.13357861,0.14955248,0.16520017,0.17691706,0.18321788,0.18476224,0.18334065,0.17999582,0.175389,0.17019035,0.16560315,0.16258632,0.1610961,0.15982033,0.1567434,0.1512806,0.14504807,0.14201601,0.14517146,0.15478007,0.16687836,0.1765966,0.18031134,0.17793065,0.17100047,0.16185898,0.15251702,0.14505751,0.14086746,0.14002442,0.1409328,0.14145903,0.14023478,0.1378073,0.13559325,0.13440584,0.13368098,0.13247658,0.13094603,0.12950628,0.12826873,0.12632938,0.12370781,0.12153071,0.121227235,0.12236742,0.12240866,0.11884194,0.111461274,0.10286006,0.09603891,0.092282504,0.09055994,0.08922881,0.087469816,0.08562232,0.0844894,0.08473862,0.08701461,0.09139371,0.097620964,0.10493047,0.11356628,0.12382976,0.1356498,0.14655781,0.15337084,0.15317056,0.14595936,0.1339054,0.12093838,0.110068254,0.102998376,0.09952337,0.09903299,0.10056762,0.10348674,0.1070385,0.11079905,0.11455575,0.118236355,0.12168705,0.1246416,0.1270201,0.12906474,0.1309405,0.13276704,0.13418229,0.13534187,0.13641661,0.13802771,0.1399933,0.141997,0.14340353,0.14425732,0.14458106,0.14465427,0.14444941,0.14422922,0.14418913,0.14459942,0.14532278,0.14602654,0.14616622,0.14568801,0.14528914,0.14671756,0.1514904,0.15907025,0.16625887,0.16844891,0.16314377,0.15099066,0.13585241,0.121707,0.111546956,0.10633155,0.10596941,0.109384246,0.11478373,0.12004406,0.1236217,0.1253597,0.12611376,0.12680548,0.1276365,0.12801431,0.12741596,0.12604322,0.12556416,0.12826131,0.13544695,0.1455292,0.15423869,0.15723078,0.15315735,0.14442253,0.13511388,0.1281072,0.12398406,0.12155202,0.11930096,0.116129756,0.11176684,0.10663406,0.101383,0.09648278,0.09213724,0.08926433,0.08974219,0.09570452,0.10701915,0.12058479,0.13167323,0.13748968,0.13867219,0.13843144,0.14011966,0.14522392,0.15303403,0.16118754,0.16768956,0.17184377,0.17415482,0.17505671,0.17448018,0.17256975,0.16975482,0.16675937,0.16358757,0.16039924,0.15723817,0.15490599,0.1538259,0.15446824,0.15676896,0.16044165,0.16455032,0.16764458,0.16903985,0.16941626,0.1706966,0.17352273,0.17685978,0.17848726,0.17760746,0.17463791,0.17095731,0.16718431,0.16357239,0.15983537,0.15605803,0.15285784,0.15308514,0.16283579,0.19266813,0.25145748,0.34066942,0.44625315,0.5474031,0.62375253,0.668348,0.6812027,0.6681588,0.63503927,0.5912974,0.54436505,0.49495062,0.43681088,0.36656976,0.29170942,0.22703005,0.18325198,0.16020489,0.14988339,0.14415886,0.13965558,0.13734086,0.14031573,0.14989556,0.16430064,0.17800047,0.18572499,0.18494715,0.17745167,0.16672015,0.15589164,0.14670569,0.13981736,0.13516372,0.13189848,0.129117,0.1263477,0.123854965,0.12188367,0.120759845,0.12139691,0.1262837,0.13776083,0.15633903,0.17869931,0.19985764,0.21481447,0.22112751,0.21909781,0.21192461,0.20421207,0.19946934,0.19854848,0.19978221,0.20093013,0.20049445,0.19821839,0.19522871,0.19342978,0.19427884,0.1974386,0.20095742,0.20314296,0.2041015,0.20610668,0.21181746,0.22168587,0.23255317,0.2389816,0.23766536,0.229567,0.21896279,0.20928256,0.20185435,0.19667065,0.1938631,0.19329242,0.19382763,0.19412978,0.19339855,0.19184601,0.18974172,0.18767963,0.1864571,0.18679382,0.18807371,0.18812716,0.18452995,0.17614,0.16389112,0.14987053,0.13634512,0.124855466,0.11610824,0.11006793,0.10606342,0.10317188,0.10047089,0.09752282,0.09422368,0.09072871,0.08706761,0.083413444,0.08007997,0.07775816,0.07695495,0.07780821,0.07982241,0.082849495,0.08785053,0.097625524,0.11456227,0.13819219,0.16299726,0.18150192,0.18817623,0.18284766,0.16913211,0.15186857,0.1347051,0.11987781,0.10848711,0.100924045,0.09688092,0.09519448,0.09399974,0.09145238,0.08760054,0.08542314,0.09057418,0.10714588,0.1349837,0.16821103,0.20021512,0.22525124,0.24105535,0.24584459,0.24067587,0.22754766,0.21060814,0.1921072,0.17365515,0.1555412,0.13891757,0.12444302,0.11245424,0.10264543,0.09502316,0.08964599,0.086326934,0.08410152,0.08250063,0.081678875,0.08347877,0.089350425,0.10017302,0.11344824,0.12479351,0.12906511,0.124513686,0.11274206,0.097581945,0.08243123,0.06987849,0.061115418,0.055728316,0.051659063,0.047106713,0.041855004,0.037168372,0.03403844,0.03225419,0.03113922,0.03112343,0.034582436,0.044403773,0.06113294,0.081173845,0.098289646,0.10764251,0.1085763,0.10407246,0.097949855,0.09267018,0.089050524,0.08702306,0.08614669,0.08603104,0.08600729,0.08561948,0.084224306,0.08160751,0.07777672,0.07331798,0.069232784,0.06654174,0.06611166,0.06803626,0.07209944,0.077403955,0.08323413,0.08845707,0.092395425,0.09425812,0.093981236,0.09177335,0.08810202,0.08344395,0.07789973,0.07187691,0.06563885,0.05999477,0.05546969,0.052607607,0.051494222,0.05226213,0.055426195,0.062077776,0.07349086,0.08974132,0.10892222,0.12707806,0.13984494,0.14429283,0.14005786,0.12932587,0.11552033,0.101850696,0.09018866,0.08093836,0.07379799,0.068203725,0.06354769,0.059282865,0.055186164,0.052035775,0.05094366,0.05304927,0.05826639,0.06575645,0.073697336,0.080371864,0.08430704,0.0852867,0.08414882,0.08225426,0.08064034,0.079289764,0.07769195,0.074907325,0.07048475,0.0645538,0.058002602,0.05208525,0.047605973,0.044876244,0.043629285,0.04352266,0.044143528,0.04559361,0.05094731,0.06882021,0.11297629,0.19241975,0.2988715,0.4022627,0.46622697,0.47197115,0.43065193,0.37268612,0.32498118,0.29736397,0.2839946,0.27462474,0.26142958,0.2419659,0.21692501,0.19002382,0.1651098,0.145335,0.13063394,0.119310975,0.1093888,0.101582915,0.09920988,0.10703374,0.126873,0.15492643,0.18119878,0.19506437,0.19159098,0.1748361,0.15431942,0.13818096,0.12913072,0.12502597,0.1220511,0.11752975,0.110032976,0.09999024,0.08828079,0.07666198,0.06655855,0.05964185,0.059484992,0.07300381,0.11248591,0.18790758,0.30177444,0.43812242,0.5721195,0.6756768,0.7352862,0.74832124,0.72516173,0.67867327,0.623375,0.5660497,0.5051186,0.43305454,0.3488711,0.2622976,0.18923038,0.13906498,0.110585116,0.09616008,0.089486666,0.08835935,0.092637025,0.1018979,0.114319384,0.1272794,0.13867341,0.14751595,0.15439618,0.15940343,0.16215312,0.16054094,0.15339714,0.14027001,0.12377296,0.106832184,0.09242153,0.080637634,0.07068331,0.06113134,0.05174999,0.043246295,0.039489392,0.04931893,0.086411335,0.16048841,0.26873198,0.39132157,0.50450546,0.5914503,0.6492224,0.6781295,0.6782163,0.6502606,0.6025014,0.54603523,0.4850463,0.41580153,0.33568886,0.25391766,0.18541898,0.14055978,0.11682263,0.10607904,0.10013323,0.095862605,0.09148689,0.087137185,0.083029985,0.080634005,0.08045388,0.08211289,0.08406494,0.08500116,0.08434407,0.08259324,0.08070547,0.079493254,0.07912686,0.07939076,0.08003256,0.08094033,0.08184066,0.082284264,0.081856064,0.08102075,0.08287471,0.095276065,0.13086689,0.20140003,0.30873337,0.43894324,0.5670545,0.6688501,0.731054,0.75192356,0.73668534,0.6936508,0.63384336,0.56766605,0.49966714,0.42685315,0.34625587,0.2635826,0.19195046,0.14179222,0.11286203,0.09775748,0.08964259,0.08733285,0.093131475,0.109630026,0.13543887,0.16432749,0.18631713,0.19432835,0.18766616,0.17265971,0.15624635,0.14387141,0.13683471,0.13525192,0.13597028,0.13590854,0.13204953,0.1250517,0.11660268,0.1082245,0.09966725,0.09207978,0.09118211,0.109387755,0.15894285,0.24119155,0.33600375,0.40972546,0.43456697,0.40904102,0.35603914,0.305249,0.273338,0.2601712,0.25612015,0.2519398,0.24213046,0.22499412,0.20162486,0.17547214,0.15087354,0.13106558,0.11685226,0.106998265,0.09937929,0.092215754,0.084800005,0.07740726,0.0711529,0.066758506,0.06453691,0.06377778,0.06381924,0.0638451,0.06363579,0.06289286,0.061921928,0.06106283,0.061036374,0.061805617,0.06288301,0.063391,0.06301681,0.061933305,0.060652558,0.060665503,0.06699119,0.0899353,0.14360023,0.23643084,0.36413038,0.5043691,0.6287673,0.7122936,0.74871916,0.74556583,0.7189806,0.67817706,0.6242849,0.5534644,0.4658611,0.36906996,0.2754056,0.19751559,0.14261582,0.110932566,0.09614387,0.090376385,0.088644005,0.09148377,0.10314509,0.12605692,0.15582001,0.18072312,0.18907712,0.17684966,0.15011087,0.119688205,0.09397352,0.07615489,0.06486486,0.058195546,0.05469029,0.0542893,0.056259036,0.059302587,0.061641723,0.0627814,0.063555144,0.06649261,0.076320834,0.10197985,0.15415686,0.23900406,0.34984186,0.46765175,0.56908554,0.63727957,0.6675697,0.6658697,0.6445741,0.613915,0.57772166,0.5312583,0.46909025,0.39168438,0.30875972,0.23376568,0.17632677,0.13852043,0.116438635,0.104765095,0.0989339,0.095252074,0.09073699,0.083964325,0.07608873,0.06938219,0.06557044,0.06425891,0.06443906,0.06515289,0.06650343,0.06813422,0.06946822,0.06939995,0.067889445,0.06534418,0.062887006,0.060868505,0.059565153,0.058549564,0.0578295,0.05775389,0.06002758,0.06705556,0.08054188,0.09908939,0.117781796,0.1303271,0.13281956,0.12549102,0.111806184,0.09584368,0.080661595,0.06797395,0.058500927,0.052273825,0.04863979,0.046795398,0.045913115,0.04563351,0.04551292,0.045344036,0.044872403,0.044237014,0.043623064,0.043196544,0.0429738,0.042901967,0.042945355,0.04298338,0.042813063,0.042214323,0.041219156,0.039974015,0.038799495,0.037790056,0.037179034,0.03695972,0.03714617,0.037361767,0.03736208,0.03699279,0.036469873,0.03590652,0.035810772,0.039457053,0.055683553,0.09857967,0.17677242,0.2816927,0.38264945,0.44461063,0.44974744,0.41038048,0.35539377,0.31052196,0.28444704,0.27257767,0.26542947,0.25566816,0.23936695,0.21625245,0.18916364,0.16274935,0.14089955,0.124866806,0.11314849,0.10341618,0.094893456,0.08976659,0.092541255,0.10603271,0.12788965,0.14929734,0.16072167,0.15808338,0.14575557,0.13186643,0.122157365,0.11711353,0.11424881,0.11094799,0.1065026,0.10081305,0.09461673,0.087985545,0.081704386,0.07609335,0.07187537,0.07108197,0.080063075,0.112088956,0.1808979,0.2924697,0.43205604,0.5715405,0.6785252,0.737155,0.74694514,0.7222035,0.6778175,0.6263289,0.5702339,0.50569904,0.42712936,0.3383895,0.25299045,0.18663387,0.14524488,0.12299574,0.10980467,0.09930987,0.091869034,0.09027711,0.0969463,0.11068824,0.12761308,0.14244796,0.152162,0.15713702,0.15949161,0.1603051,0.15821312,0.1514316,0.139334,0.124035895,0.10853725,0.09577147,0.08668363,0.08104151,0.07762254,0.07531733,0.0739534,0.076604635,0.09122395,0.13007386,0.20149553,0.30299875,0.4170984,0.52347493,0.60745555,0.6655519,0.6951203,0.69257194,0.6574604,0.60047,0.5379239,0.4776515,0.4145538,0.34038723,0.25890625,0.18503852,0.13306184,0.105629586,0.095225,0.092335045,0.09070761,0.08807071,0.08403415,0.07953229,0.07591092,0.07441067,0.07479939,0.075712115,0.07544581,0.07365614,0.07143343,0.07016485,0.07034577,0.071068175,0.07130593,0.07042954,0.068641685,0.06638914,0.0640765,0.061957285,0.060230225,0.05963536,0.06190231,0.069215536,0.082408994,0.09926241,0.11476038,0.12371964,0.12359068,0.115499295,0.10286515,0.08912465,0.07653115,0.06603809,0.058079585,0.05267401,0.0494688,0.047661554,0.046519756,0.045614127,0.044910897,0.044341426,0.04381184,0.04362509,0.045807213,0.054445688,0.07400873,0.10435548,0.13849227,0.16419785,0.17270668,0.16330032,0.14415783,0.12470651,0.11121487,0.10405731,0.101125844,0.09943039,0.09685867,0.0918683,0.08406592,0.07467285,0.06557592,0.05864732,0.05564739,0.06179185,0.08789003,0.14554402,0.23480123,0.3346536,0.41030928,0.43558797,0.4107159,0.36085287,0.3145803,0.28718492,0.27589807,0.2710822,0.26376846,0.25036195,0.22971733,0.20379966,0.17584391,0.15082322,0.13165069,0.118919015,0.11000496,0.102079965,0.09306385,0.083134,0.07358417,0.06611222,0.0613911,0.05892316,0.05740711,0.055731367,0.053690273,0.051829472,0.05067789,0.050258506,0.050060492,0.049847763,0.049484238,0.049152885,0.048683126,0.048099656,0.04733562,0.046494838,0.04661536,0.052111242,0.07333555,0.12420005,0.2140891,0.33831748,0.4753141,0.5961175,0.6772313,0.713043,0.71214056,0.6892457,0.6513272,0.5986886,0.5295973,0.4485991,0.3640938,0.28470403,0.21577711,0.16034605,0.11913324,0.09082981,0.07328317,0.06573886,0.06994772,0.08743734,0.11594013,0.14643174,0.16673666,0.16822453,0.15213329,0.12834214,0.108246855,0.09804835,0.09615622,0.09721189,0.09561449,0.08962857,0.08023286,0.07049399,0.06275118,0.05822127,0.056684773,0.05723262,0.060265522,0.06943306,0.09450849,0.14758103,0.237279,0.35738847,0.4879161,0.5999346,0.6720372,0.6966687,0.6833219,0.65004236,0.61242694,0.57474977,0.5281257,0.46270394,0.37784538,0.28710264,0.20767464,0.1505818,0.115757816,0.09680888,0.08690116,0.08180165,0.0796541,0.07916974,0.07915166,0.07827997,0.07616216,0.07319043,0.07025749,0.067845464,0.06587705,0.064154476,0.06250642,0.061017316,0.059541125,0.058159385,0.056778144,0.05557987,0.054381445,0.05313122,0.05167365,0.05014019,0.049396705,0.05167603,0.061020494,0.0804679,0.10874056,0.13782863,0.15726869,0.16059168,0.14989136,0.13348053,0.12001023,0.113774896,0.11358882,0.1152063,0.114501745,0.110117145,0.10338703,0.096445404,0.090583436,0.085963674,0.08271585,0.08073015,0.080486655,0.08361668,0.09438143,0.11598805,0.14579765,0.17313617,0.18642057,0.1823767,0.16805054,0.15386538,0.14491509,0.13999103,0.13493837,0.12715112,0.116398536,0.1044916,0.093435206,0.08431694,0.07698359,0.07141783,0.06775403,0.066386186,0.06963068,0.08526728,0.12708808,0.20356262,0.30617785,0.40366045,0.46160686,0.4619445,0.4173882,0.35658216,0.30727968,0.2799538,0.27100027,0.2690431,0.2644868,0.25217327,0.23273462,0.20996952,0.18859567,0.17080152,0.15670538,0.14465128,0.13528441,0.13138771,0.1400305,0.16592155,0.20854975,0.25485304,0.28751698,0.29132733,0.2663975,0.22372763,0.18025373,0.1465603,0.12566267,0.11442211,0.10835064,0.10444799,0.10047197,0.095430225,0.088247746,0.079250365,0.069666184,0.06192832,0.060266744,0.07201457,0.1093569,0.1830579,0.29513752,0.42957795,0.5608135,0.6634791,0.7261643,0.7463078,0.7283714,0.6797287,0.6150617,0.5492777,0.48878798,0.4261839,0.35201696,0.26764894,0.18851863,0.13081238,0.100325055,0.09008931,0.08951402,0.09099426,0.09292587,0.09650824,0.10342771,0.11344274,0.12518549,0.13675763,0.14665945,0.15346617,0.15599449,0.15343428,0.14580132,0.13376324,0.119545944,0.106296085,0.09783841,0.095949404,0.09995081,0.10623748,0.11133293,0.114456855,0.12114517,0.14149535,0.18712986,0.26160002,0.3584428,0.4594027,0.54724985,0.61019963,0.6482857,0.6635285,0.65833944,0.6330707,0.59173656,0.53985584,0.48048863,0.41347823,0.3404847,0.27035543,0.21419513,0.17772502,0.15696464,0.14365886,0.13174172,0.120624065,0.113657735,0.11527144,0.12764247,0.1479414,0.16856907,0.18126923,0.1828235,0.17644465,0.16838472,0.16279173,0.15996617,0.15800376,0.15513062,0.15132654,0.14785214,0.14643143,0.14695887,0.14696097,0.1431219,0.13489714,0.12837787,0.13520133,0.16939014,0.23807716,0.33844104,0.45466325,0.56669897,0.65558565,0.71219784,0.73566794,0.72921056,0.6963746,0.63966614,0.5670714,0.48673177,0.40805128,0.33444285,0.27169192,0.22442286,0.19633621,0.18443555,0.18228059,0.18518357,0.19102485,0.20145816,0.2175457,0.2396756,0.263394,0.2816416,0.29085502,0.29310068,0.29524586,0.29777262,0.29879043,0.29432824,0.28790691,0.2821472,0.2782168,0.27285442,0.2650484,0.25687718,0.25057688,0.24706434,0.24598728,0.25174856,0.2726022,0.31710076,0.382676,0.45259908,0.5019515,0.5159337,0.49915597,0.47325408,0.45836982,0.46071437,0.46821615,0.46279678,0.43352973,0.3870112,0.34219918,0.31767806,0.31736645,0.32979438,0.33713213,0.32941493,0.30949154,0.29078138,0.2853166,0.29538062,0.30983177,0.3138373,0.29989353,0.27404448,0.2498727,0.23638588,0.23184317,0.22614689,0.21293008,0.19565856,0.18506499,0.18861842,0.20308733,0.21823639,0.2246619,0.22124521,0.2131352,0.20620394,0.20405413,0.21051936,0.23381715,0.28494796,0.36882186,0.47869384,0.59377223,0.6907231,0.7514766,0.77385646,0.76603174,0.74000454,0.70169044,0.65236044,0.5931772,0.52837735,0.463675,0.4042854,0.3545095,0.3186122,0.29777578,0.29018137,0.29057035,0.29430535,0.29930505,0.30504665,0.31256,0.32005033,0.32662308,0.33041224,0.3316266,0.33035132,0.32665294,0.3222513,0.3183743,0.3168759,0.31696934,0.3173772,0.3169842,0.31480893,0.31176642,0.30782548,0.30462316,0.30254313,0.30411705,0.31512347,0.3453132,0.40262923,0.48358616,0.5724545,0.64869016,0.69993997,0.7230366,0.72239757,0.70248777,0.6714446,0.63428146,0.59349775,0.542146,0.47425315,0.3900465,0.30182767,0.22559212,0.17199294,0.14160001,0.12767358,0.12269751,0.12126302,0.12107042,0.12153914,0.123075806,0.12596871,0.12960152,0.13334227,0.13677883,0.14033286,0.14366482,0.14616217,0.14717205,0.14717816,0.14682145,0.1463393,0.14507563,0.14312889,0.14113216,0.14038496,0.14031862,0.14015934,0.13951504,0.14119913,0.1484376,0.16278188,0.1813628,0.19886659,0.21039023,0.2139222,0.21064812,0.20324127,0.19471282,0.18718415,0.18205936,0.17945905,0.1787644,0.17877518,0.17854123,0.17747563,0.17570181,0.17409594,0.17363806,0.17434007,0.17489295,0.1736841,0.17064773,0.16708022,0.16488881,0.1644386,0.16501378,0.16492563,0.16307254,0.15900186,0.15339988,0.14752962,0.14258735,0.138933,0.13608377,0.13339965,0.13075028,0.12847172,0.12688263,0.1257583,0.12472501,0.12439064,0.12928917,0.14868446,0.19427483,0.2689215,0.3597608,0.43742123,0.47536263,0.4642659,0.4204085,0.36894813,0.329928,0.30713585,0.29536504,0.28663728,0.27619317,0.2613158,0.24151815,0.21830536,0.19489558,0.17441082,0.15816619,0.14560708,0.13543494,0.12749057,0.12419025,0.13006444,0.1484979,0.1772682,0.2074051,0.2276811,0.23162621,0.22125012,0.20416678,0.18814592,0.17682004,0.17014986,0.16582407,0.16181727,0.1565587,0.14990915,0.14244032,0.13545199,0.12996222,0.12689318,0.12883179,0.14227487,0.17838472,0.24683495,0.34829798,0.4679983,0.583111,0.67251116,0.7278509,0.74860495,0.73838395,0.69959086,0.63950986,0.5680676,0.49490157,0.42261615,0.35145822,0.28452075,0.22935598,0.19170165,0.17064996,0.16080694,0.15659928,0.1557368,0.15770017,0.1628687,0.17092247,0.1811009,0.19245858,0.20438652,0.2163619,0.22716875,0.23493497,0.23810782,0.23631473,0.23074363,0.22340645,0.2165708,0.21169466,0.20915703,0.20839496,0.20867604,0.2096201,0.21146476,0.21640307,0.22965808,0.25992668,0.31408516,0.39225563,0.48242962,0.5662239,0.626138,0.65697575,0.6639758,0.65677655,0.63820916,0.60607475,0.557635,0.49572006,0.42509985,0.3513763,0.28096578,0.22209735,0.18090445,0.15656687,0.14316972,0.13408844,0.12703659,0.12257487,0.12260461,0.12736064,0.1351332,0.14231403,0.14585291,0.14509483,0.1420846,0.14005019,0.14136383,0.14668143,0.15417826,0.16068192,0.16321342,0.16150473,0.1580479,0.15601856,0.15660037,0.15829508,0.16001095,0.16481876,0.18181796,0.2236591,0.29848802,0.40446734,0.5247243,0.6366432,0.7178444,0.7600463,0.7650295,0.74375206,0.704068,0.6508403,0.5849776,0.50841635,0.42556491,0.34344712,0.2710676,0.21568815,0.18018006,0.16106534,0.15211298,0.14961639,0.1563275,0.18032128,0.22883125,0.30298635,0.39502242,0.49147192,0.57747823,0.6425666,0.6837342,0.7020833,0.69849324,0.6680944,0.60791385,0.52040064,0.41948247,0.32127813,0.2402187,0.18193074,0.14700244,0.13167351,0.13300997,0.1490964,0.18232931,0.2347697,0.30366573,0.37307468,0.41996542,0.42653656,0.39520392,0.3463271,0.3043871,0.28335366,0.2826455,0.29466212,0.3099019,0.32287252,0.32911804,0.3293723,0.3254851,0.32255077,0.322572,0.326005,0.33025852,0.33294252,0.33213207,0.32745448,0.32073098,0.31505266,0.3130363,0.31432077,0.31671712,0.31799933,0.31738284,0.3141415,0.30699337,0.29428414,0.27524436,0.2505611,0.22288656,0.1963141,0.17464168,0.15878308,0.14626677,0.13314207,0.11880335,0.10911024,0.11795119,0.16082853,0.24717884,0.370121,0.5077637,0.62957007,0.71080834,0.74116707,0.7274068,0.6869669,0.63629484,0.5830862,0.52390975,0.45309842,0.37014684,0.28475362,0.21030869,0.15672001,0.124364085,0.10800239,0.10235702,0.106884666,0.12326759,0.15075582,0.18278094,0.20847301,0.21843469,0.20978384,0.18754613,0.16076368,0.13705641,0.11981753,0.1082595,0.10055947,0.095395245,0.09303832,0.09363077,0.09621244,0.09819871,0.09707806,0.09211653,0.085390806,0.08290884,0.094537236,0.13377018,0.20871615,0.31700405,0.43953562,0.5537873,0.6396594,0.6904611,0.70557255,0.6916366,0.6579029,0.61547,0.570175,0.51857686,0.45318297,0.3720998,0.28573492,0.21045376,0.15789928,0.12833874,0.114168294,0.10688534,0.10195977,0.098513074,0.0978289,0.100978434,0.10813263,0.117753156,0.1278223,0.13670324,0.14370507,0.14865947,0.15129463,0.15190792,0.15086125,0.14880688,0.14505893,0.13864596,0.12865996,0.11613204,0.10320846,0.0924128,0.08564084,0.085510574,0.09705634,0.12650512,0.17548524,0.2347223,0.28544375,0.30998167,0.30326244,0.27448735,0.23846519,0.20566505,0.17928858,0.15817787,0.1412073,0.12816696,0.119489394,0.114461236,0.111641735,0.10918691,0.10621673,0.10282547,0.09979004,0.09822283,0.099901445,0.107537985,0.12415149,0.15015002,0.18224047,0.21308577,0.23627408,0.24756145,0.24730168,0.23759516,0.2231455,0.20893228,0.19931783,0.19538558,0.19524217,0.19582017,0.19465758,0.19101132,0.1855914,0.18059541,0.17921008,0.18618596,0.20926791,0.25648424,0.32937133,0.41379762,0.48343667,0.5129118,0.49501488,0.44320717,0.3828055,0.33517602,0.3101531,0.30377492,0.30618146,0.30664325,0.3015544,0.29154408,0.28156158,0.27357897,0.26852402,0.26394913,0.26044437,0.26005554,0.2690282,0.28877565,0.31496048,0.33391857,0.3350385,0.31596458,0.28677884,0.2591336,0.2393936,0.2256049,0.21323438,0.19995464,0.18713139,0.17763661,0.17415552,0.1782896,0.1909927,0.21093015,0.23439527,0.25567353,0.27164176,0.28477046,0.30494696,0.34305212,0.40137205,0.46816885,0.52598894,0.5699072,0.61163574,0.66508704,0.72210455,0.7538242,0.73606986,0.67321306,0.5932226,0.51699364,0.44520685,0.36675277,0.28347936,0.20954484,0.16014618,0.13630165,0.12991507,0.13283414,0.14532709,0.17081809,0.20866604,0.24722572,0.27194294,0.27382067,0.25740004,0.23303331,0.21002753,0.19061603,0.1730858,0.15476573,0.13488208,0.11502393,0.09818116,0.0867832,0.08091816,0.078470476,0.076699264,0.07409372,0.07196494,0.07614166,0.09727415,0.14720398,0.23029421,0.33829507,0.45161438,0.5512224,0.62490076,0.6704941,0.6886012,0.68112427,0.6503861,0.60186964,0.5427815,0.47671607,0.40390596,0.3241593,0.24480522,0.17710535,0.1304795,0.10533293,0.09605601,0.095965244,0.10220788,0.11567607,0.1377482,0.16511358,0.18847167,0.19748831,0.18879582,0.16778333,0.1435944,0.122302555,0.105819516,0.09378907,0.08563408,0.08046661,0.07728374,0.07539383,0.074202925,0.07308332,0.071155444,0.06854402,0.067120485,0.07252311,0.09463205,0.14501077,0.22966595,0.3425137,0.4650348,0.57446176,0.65325856,0.69610983,0.70721525,0.6952091,0.66546893,0.62057716,0.5617632,0.49234176,0.41617954,0.3378549,0.26256183,0.19683416,0.14580874,0.11168339,0.093064845,0.08711947,0.09051714,0.100646734,0.11579433,0.13394545,0.15147364,0.16301876,0.16540237,0.15975171,0.15130414,0.1447772,0.14194056,0.14083993,0.13832168,0.13246943,0.12408995,0.11588463,0.109524876,0.104794286,0.100144826,0.09535026,0.09337085,0.10161845,0.13203034,0.19309998,0.28039184,0.36911902,0.42690468,0.43375722,0.39733973,0.34484163,0.30222905,0.27955326,0.27097487,0.26635605,0.2582349,0.24449866,0.22557457,0.20399718,0.1832221,0.16644822,0.15447442,0.14554673,0.137241,0.12888476,0.121592104,0.11701056,0.1152645,0.1154415,0.11622265,0.117141075,0.118069164,0.11890471,0.11963019,0.12059176,0.12243154,0.12503938,0.12749077,0.1287129,0.12864335,0.12824081,0.12834476,0.1291249,0.13010241,0.13131832,0.13446648,0.14421524,0.1698045,0.22104394,0.30319142,0.4079331,0.5169595,0.6080231,0.66781527,0.693845,0.6922384,0.6709276,0.63503283,0.58702666,0.52699816,0.45633075,0.3783826,0.3000141,0.22882736,0.17037432,0.12571754,0.09328258,0.07179365,0.06266617,0.06869008,0.09042403,0.1231434,0.15565807,0.17582758,0.17575158,0.15782942,0.13158034,0.10909245,0.09729716,0.096132636,0.10004118,0.102906324,0.10174305,0.09697547,0.09077347,0.08504894,0.081027985,0.07927204,0.07977674,0.08410897,0.09754645,0.13203496,0.1993816,0.3047695,0.4353106,0.56712633,0.6711779,0.73004603,0.73864573,0.7080851,0.6576896,0.6064425,0.559918,0.5072848,0.43504676,0.34405407,0.2540641,0.18762417,0.15326653,0.14227368,0.1403511,0.1379859,0.13283463,0.12536478,0.11706516,0.10969577,0.10544327,0.10466116,0.10561956,0.10565156,0.10330591,0.098843075,0.0938017,0.08993428,0.088424005,0.08894252,0.0902648,0.091396935,0.092456944,0.09404856,0.09614089,0.09818401,0.09954202,0.10053968,0.102470495,0.10828131,0.120785564,0.14096199,0.16453995,0.18392716,0.19136749,0.18473254,0.16784304,0.14776386,0.13018455,0.117182024,0.10864613,0.10371351,0.102014594,0.10274053,0.10459676,0.106188804,0.106991746,0.10761819,0.10898527,0.11123843,0.11324928,0.113363415,0.1108144,0.106537275,0.10267454,0.10077715,0.100847065,0.10163266,0.10225442,0.102703966,0.103342384,0.103882365,0.10354286,0.10178778,0.09900693,0.096034564,0.093674175,0.09213185,0.09116394,0.09010121,0.08935741,0.09338232,0.112908624,0.16074456,0.24010853,0.3348141,0.4131719,0.44781765,0.43366542,0.39003456,0.34353697,0.31117487,0.29395834,0.28434527,0.27480152,0.2616897,0.2441026,0.2219823,0.19692926,0.17170422,0.14986621,0.13287584,0.12071914,0.11302436,0.11212788,0.12268082,0.14723384,0.18094878,0.21054947,0.2227367,0.21240775,0.18563078,0.15267344,0.12177315,0.09688256,0.07921193,0.06845837,0.06282605,0.060381692,0.059924167,0.061038375,0.06315377,0.065160304,0.06634801,0.06720978,0.07159477,0.08838883,0.13125475,0.21064775,0.32520896,0.45594636,0.5772601,0.66801023,0.72320133,0.7453206,0.73852944,0.7022977,0.6398075,0.5605299,0.4769107,0.3961251,0.31827113,0.2437254,0.1769578,0.12544201,0.09262668,0.077190645,0.075113796,0.08393236,0.10291753,0.1303085,0.16091152,0.18590559,0.19882984,0.198615,0.19103698,0.18211824,0.17535807,0.16918261,0.1605112,0.14655934,0.12783305,0.107563265,0.09029564,0.078828365,0.07316739,0.07099112,0.06961455,0.06849976,0.071825944,0.089959264,0.13566251,0.21617728,0.32564905,0.4447917,0.5498447,0.6226654,0.65915513,0.6663417,0.656095,0.6345244,0.6004691,0.54928106,0.47990987,0.39785597,0.31320912,0.23757584,0.1789573,0.1392528,0.11396318,0.09734566,0.08594963,0.079613745,0.078193754,0.080385596,0.08350131,0.08541586,0.085140675,0.083333336,0.0812844,0.07961338,0.07755629,0.074149154,0.06990683,0.066983394,0.06692728,0.06899995,0.070760705,0.07051572,0.06881756,0.06737682,0.06742663,0.06922419,0.0734908,0.082609065,0.09914199,0.12282034,0.14814796,0.16663592,0.17189203,0.16367868,0.14733258,0.12947783,0.11485499,0.10507265,0.09981666,0.097118944,0.09490275,0.09157718,0.087254696,0.08310902,0.08043799,0.0797584,0.080295116,0.080854535,0.08123105,0.083725154,0.093346864,0.113699235,0.14313419,0.17228281,0.19055772,0.19261146,0.182355,0.1674664,0.15436375,0.1449579,0.13913102,0.13485901,0.12995915,0.12186698,0.11105568,0.09960609,0.090450466,0.0839167,0.079499386,0.07879108,0.08889988,0.122464485,0.187728,0.27884945,0.36841276,0.42409477,0.4271655,0.38898024,0.3368753,0.29654697,0.2753165,0.267982,0.26456076,0.25862715,0.246396,0.22679663,0.20096685,0.17302449,0.14805679,0.12968437,0.11778145,0.10955468,0.10178134,0.09332005,0.08493763,0.07809418,0.07350073,0.07126111,0.07089586,0.07180845,0.072821654,0.073053665,0.07216889,0.07083237,0.06972617,0.06900198,0.068248175,0.067195535,0.0660739,0.06531944,0.06518319,0.0653613,0.06530783,0.06598336,0.07248485,0.09730508,0.15541519,0.25704035,0.39348516,0.5395223,0.6595921,0.7295349,0.74321294,0.7154319,0.66740894,0.61610645,0.5646847,0.50631624,0.43296197,0.3464067,0.25894728,0.1864952,0.13765003,0.110298984,0.09577171,0.08662056,0.08143523,0.08453029,0.101118304,0.1316982,0.16737075,0.19405393,0.1994129,0.18216066,0.15035635,0.11644733,0.0891166,0.07138207,0.061844975,0.057408724,0.05601052,0.056185547,0.05733791,0.058297183,0.05854008,0.05823897,0.058585957,0.062612705,0.07666876,0.11233013,0.17932332,0.2788649,0.3957335,0.50927883,0.60075706,0.6634531,0.6940766,0.69284534,0.66289705,0.6153234,0.561758,0.5048987,0.43756917,0.3550121,0.26510885,0.18512781,0.12785703,0.09488008,0.07939834,0.07375685,0.07232509,0.07110024,0.068410724,0.06465894,0.062086035,0.06145753,0.062004823,0.06167653,0.059614237,0.056335166,0.053375643,0.052087534,0.0525701,0.054059584,0.05513054,0.055216003,0.054253828,0.052764937,0.05076343,0.048168506,0.04496698,0.0427639,0.044917975,0.056686033,0.0808331,0.11490712,0.14898087,0.17201428,0.1773973,0.16734527,0.14908476,0.1299251,0.114129744,0.10279536,0.09582439,0.092095025,0.09068096,0.090590484,0.09138751,0.092598915,0.09376026,0.09476215,0.09589329,0.098477684,0.10422554,0.11651539,0.13685285,0.16349055,0.18711197,0.19822885,0.19196184,0.17451493,0.15528542,0.14068021,0.12989059,0.119414665,0.108035356,0.097047776,0.0891914,0.085511364,0.08617435,0.08965779,0.094216794,0.09775696,0.10058245,0.10707856,0.12803681,0.17472345,0.24950969,0.33607316,0.40567908,0.43421993,0.41936108,0.3794175,0.33825502,0.30919823,0.29240334,0.2810577,0.27031294,0.25802425,0.24467848,0.22997242,0.21476774,0.19988482,0.18705261,0.1766812,0.16806962,0.16009659,0.15331322,0.15154666,0.15998478,0.18060242,0.20821868,0.23175001,0.24153881,0.23449308,0.21526374,0.19112808,0.16911612,0.15312819,0.14469326,0.1415437,0.1404742,0.13736717,0.13129734,0.12265723,0.11413255,0.10687057,0.10172757,0.10094005,0.11261771,0.15110224,0.22841074,0.3448708,0.4812363,0.60950255,0.7030061,0.7518852,0.7577717,0.73124737,0.68063873,0.6149082,0.54168606,0.46806303,0.39592445,0.3237752,0.25200543,0.18621735,0.1340812,0.09883689,0.078353636,0.06820774,0.06590583,0.07097072,0.08295237,0.09937027,0.11582482,0.12865116,0.13686049,0.14199771,0.14513534,0.14542489,0.14062907,0.12960754,0.113511145,0.09546206,0.0789431,0.06595561,0.056433607,0.048855048,0.041884903,0.035344172,0.031260166,0.03539892,0.058873236,0.114768825,0.21022893,0.33723173,0.47255334,0.5868935,0.658648,0.6840052,0.6758297,0.6542833,0.63008684,0.599188,0.54868644,0.4736646,0.3834451,0.29644978,0.22782947,0.18306302,0.15802987,0.14377739,0.13200235,0.11965532,0.10935373,0.10575014,0.110715546,0.121568255,0.13282776,0.13980483,0.1407565,0.13709438,0.13132681,0.12544027,0.12003428,0.11498269,0.11010129,0.10560525,0.10217016,0.10043213,0.10045227,0.10142929,0.102221705,0.10263404,0.104070306,0.11161364,0.1344263,0.18473954,0.2695792,0.383561,0.5065196,0.6139242,0.6880424,0.7253792,0.7307208,0.7108249,0.6681543,0.60568184,0.52879775,0.44723377,0.36859676,0.2972863,0.23473287,0.18351227,0.14657654,0.12524004,0.11877474,0.12559387,0.14714661,0.18663381,0.24983533,0.3392057,0.4508581,0.56873375,0.6679259,0.7253253,0.73260623,0.7021053,0.6553522,0.6071245,0.5551215,0.48813415,0.4022784,0.30791575,0.22487916,0.16703458,0.13847625,0.13222931,0.14053306,0.15882936,0.19119994,0.24290007,0.31048325,0.37499353,0.41102275,0.4053091,0.36580798,0.3159074,0.2753211,0.25181344,0.24053842,0.23454992,0.22810139,0.2188346,0.2054777,0.18838535,0.16915278,0.14990981,0.13234614,0.117740355,0.107391596,0.103204526,0.10752713,0.12325535,0.15087399,0.18557955,0.21578248,0.22919081,0.22016947,0.1945371,0.1646883,0.14197905,0.13034882,0.12762608,0.12901807,0.13121533,0.13207346,0.13061255,0.12610386,0.11923361,0.11185343,0.10631114,0.106247194,0.117170505,0.14959835,0.21302007,0.31227174,0.43669534,0.56634957,0.6744302,0.74297667,0.76296216,0.7402582,0.6887936,0.62825364,0.5719194,0.5204974,0.4627906,0.389632,0.30534434,0.22638245,0.1680578,0.13399862,0.11796662,0.11223343,0.1143138,0.12604968,0.14800012,0.174847,0.19528747,0.20076697,0.19074267,0.17332418,0.15587924,0.14163534,0.13022967,0.12182507,0.116356395,0.11203438,0.10644836,0.099086575,0.09205642,0.08783195,0.08727483,0.08916986,0.091670625,0.09531587,0.10648513,0.1382116,0.20278601,0.30209062,0.42053962,0.53474057,0.6245038,0.6824686,0.70743364,0.7008224,0.66570896,0.61048335,0.54624665,0.4792435,0.40981042,0.3366032,0.2642629,0.20142846,0.15496656,0.124981545,0.10666797,0.09525147,0.08858445,0.086922914,0.09085691,0.099538,0.11043057,0.11976715,0.12520353,0.12598328,0.12323595,0.117998786,0.11155405,0.10505616,0.09955913,0.09551465,0.09272166,0.09124655,0.09120473,0.09268621,0.09472519,0.096418984,0.09731268,0.09865558,0.10199967,0.109155945,0.12004373,0.1332068,0.14497934,0.15214942,0.15279639,0.14763522,0.1385328,0.12760486,0.1164607,0.1063372,0.09796459,0.09155022,0.086989604,0.084394366,0.08406725,0.085841276,0.088687725,0.09112376,0.09231731,0.092541695,0.09248551,0.09243795,0.09218053,0.09168318,0.091579445,0.09257818,0.09490626,0.097720884,0.09992666,0.10079714,0.10084382,0.10092095,0.101504244,0.10180888,0.10094655,0.098844625,0.09652531,0.09526855,0.09545048,0.0968254,0.10003432,0.10975424,0.13684957,0.19254734,0.27783626,0.37290558,0.44614777,0.47231054,0.45166954,0.40458488,0.35655645,0.32083496,0.29901612,0.28594634,0.2769234,0.26725316,0.2529231,0.23145787,0.20431302,0.17588212,0.15064214,0.13095129,0.11737574,0.11042279,0.11056458,0.11813746,0.13179417,0.14870976,0.16434477,0.17435758,0.1765833,0.17162538,0.16284096,0.15348877,0.14640863,0.14164512,0.1382222,0.13431655,0.12927216,0.12340545,0.11724762,0.1116521,0.10652542,0.10222582,0.099253096,0.10215246,0.120040864,0.1665677,0.2507198,0.37056533,0.50645137,0.6311082,0.71749085,0.75529486,0.7485359,0.7136664,0.6641408,0.60701734,0.541549,0.46659312,0.38387918,0.29961503,0.22247578,0.16126917,0.120250694,0.0975186,0.08599947,0.07953116,0.07621812,0.07849104,0.08859113,0.105227314,0.12355436,0.13872321,0.14889015,0.15510269,0.15850909,0.15838443,0.15268785,0.14025216,0.12251124,0.10316405,0.086390935,0.074596114,0.06791083,0.06494301,0.06446096,0.06548644,0.068793826,0.07817956,0.10400134,0.15927058,0.25252363,0.37651277,0.5086593,0.61978984,0.68913984,0.71244174,0.70044905,0.67010194,0.63250065,0.5876422,0.5274716,0.4472501,0.3532054,0.26124787,0.18787552,0.14127816,0.11920174,0.11250219,0.11134317,0.10920579,0.103979014,0.097448885,0.092942916,0.093463026,0.098562576,0.10523073,0.10939488,0.109809816,0.10748378,0.10486185,0.10300491,0.102205984,0.102092475,0.10286554,0.10488599,0.108298846,0.11259546,0.11688105,0.12044352,0.12312651,0.12569402,0.13207726,0.15200508,0.19923823,0.28359604,0.39997163,0.52826446,0.64215344,0.7229087,0.76286703,0.76337963,0.73168737,0.6791964,0.61821777,0.554439,0.4861386,0.40997037,0.32964525,0.25608733,0.19975285,0.16464156,0.14772135,0.14449812,0.15220284,0.1724826,0.21031065,0.2739211,0.36831102,0.48943636,0.616003,0.71620345,0.7617755,0.7490501,0.6993926,0.6423216,0.58846194,0.5265752,0.44139996,0.33851144,0.24265718,0.17930609,0.15481885,0.1578706,0.17115195,0.18408047,0.1971283,0.22042103,0.26495278,0.33087122,0.40008917,0.4444594,0.44440758,0.40350318,0.34527436,0.29542485,0.26663637,0.25580552,0.25260937,0.24868883,0.24013688,0.22722709,0.21091664,0.19387019,0.17821117,0.16658443,0.15901335,0.1546449,0.15155618,0.15084845,0.15538813,0.16809522,0.18600261,0.20118569,0.2049713,0.19624083,0.18123616,0.168999,0.16343893,0.16223383,0.1608172,0.1566896,0.15205254,0.1489365,0.1481521,0.14662604,0.14268304,0.13628815,0.13007852,0.12738872,0.13396102,0.16100322,0.22207725,0.32567585,0.46211424,0.6058411,0.72316545,0.7915595,0.8029379,0.7667691,0.7009814,0.6274231,0.55850846,0.49271116,0.4190487,0.33306435,0.24495131,0.17281316,0.1286077,0.11061918,0.108423114,0.111525364,0.11571189,0.123467125,0.13956678,0.16583411,0.19578333,0.21850519,0.22357136,0.20922565,0.18030173,0.14604154,0.114388265,0.090828925,0.0769672,0.07108579,0.07011492,0.07141623,0.07384341,0.07664946,0.079132766,0.08052537,0.08105209,0.083660625,0.09588811,0.12954898,0.19290233,0.2832292,0.38285848,0.47265723,0.54255205,0.59674597,0.63905674,0.664418,0.66201955,0.6280156,0.5712616,0.5021928,0.42748037,0.34881237,0.2731952,0.20898552,0.16235776,0.13156365,0.11281446,0.10305213,0.102543026,0.11322554,0.13708772,0.17310889,0.21226232,0.24150889,0.2487968,0.2348662,0.2086919,0.18376748,0.16599332,0.15621537,0.15090434,0.14778781,0.14423116,0.13782983,0.12658425,0.11118296,0.09468505,0.08044841,0.070175946,0.06474133,0.067681916,0.08576381,0.12472697,0.18117748,0.2402708,0.28293744,0.2974748,0.28547767,0.2569219,0.22307535,0.1917706,0.16816169,0.15395343,0.1475621,0.14496587,0.14288723,0.14025034,0.13661064,0.13168593,0.12482733,0.11774713,0.11319818,0.11767739,0.13949703,0.18738736,0.25940004,0.33943236,0.4002932,0.4214425,0.39927006,0.3498765,0.2965125,0.25779927,0.23928094,0.23580585,0.23941565,0.24325491,0.24302049,0.23335832,0.21368974,0.18694611,0.16159731,0.14330667,0.1389957,0.15642029,0.20585865,0.2892753,0.39179388,0.48305336,0.53129965,0.52387553,0.4727725,0.40750512,0.35420683,0.3244979,0.31245384,0.30557084,0.29328373,0.27370074,0.25075623,0.2306084,0.21650429,0.20765121,0.20025967,0.19031961,0.17801557,0.1689617,0.17436253,0.20267846,0.2520293,0.30478844,0.33747086,0.33504537,0.3009446,0.25174302,0.2049061,0.1703298,0.14955454,0.13954633,0.13559395,0.1334529,0.13074495,0.12699823,0.123178355,0.12004575,0.11838442,0.11899799,0.12526922,0.14460768,0.18846346,0.26513234,0.37185097,0.48947397,0.5912877,0.655307,0.677603,0.6700406,0.65038514,0.6286645,0.60141253,0.55937284,0.49521437,0.41441736,0.3288359,0.25418028,0.19717671,0.15747042,0.12768616,0.10358671,0.08678507,0.0848323,0.10467567,0.14569885,0.19675179,0.24044259,0.26330292,0.26360074,0.24943548,0.23121141,0.21438438,0.19965215,0.18491141,0.16846894,0.15047197,0.13318278,0.11971276,0.1106705,0.104500115,0.09830604,0.09123092,0.08529153,0.08704278,0.10881183,0.16452956,0.26270697,0.39469004,0.5357368,0.6512627,0.7153752,0.721977,0.6900556,0.649779,0.6205845,0.5961542,0.55379385,0.47986302,0.38628674,0.3009981,0.24605365,0.22290295,0.21810122,0.21621126,0.21060435,0.20374249,0.20284756,0.21391873,0.23795451,0.26897743,0.2955923,0.30589995,0.29450235,0.26561323,0.23036762,0.19920377,0.17719,0.16420887,0.15907045,0.16100842,0.168414,0.17734551,0.1835928,0.18585487,0.1864143,0.18781723,0.19171564,0.20076881,0.22391224,0.2723352,0.35315034,0.45936117,0.5744433,0.677386,0.7513147,0.783761,0.7704703,0.72097534,0.656619,0.59934276,0.55287343,0.50418186,0.4382826,0.35750762,0.27929547,0.22153227,0.19004364,0.17962962,0.18111639,0.1867866,0.1912594,0.19318171,0.1942324,0.19721313,0.20225485,0.20671713,0.2078505,0.20514192,0.2003073,0.19619375,0.19471829,0.19657485,0.19901784,0.19919871,0.19456606,0.18678695,0.17735164,0.1681345,0.15863176,0.15022497,0.14697254,0.15720357,0.19110943,0.25207704,0.3306304,0.40092954,0.4368477,0.42610753,0.38166723,0.32899046,0.29058266,0.27267125,0.2685744,0.26676926,0.25936887,0.24373586,0.22244073,0.19963326,0.18007065,0.16551,0.15623593,0.14942022,0.14287943,0.13425916,0.124200344,0.11380137,0.10527969,0.09915304,0.09540396,0.09267577,0.09013825,0.08730811,0.084845744,0.08332735,0.08291193,0.08301798,0.083031744,0.082736395,0.08197541,0.08069963,0.078753054,0.07658214,0.074543506,0.07329314,0.074876,0.08584353,0.11915553,0.18866587,0.299785,0.43828726,0.5764933,0.68457085,0.7480991,0.76588446,0.7468853,0.70079046,0.63897556,0.568824,0.49251136,0.40751004,0.31616905,0.22917177,0.16024221,0.11582747,0.09206613,0.08103273,0.07750916,0.08135273,0.09492668,0.11861654,0.14871417,0.17511822,0.18792552,0.18102564,0.15881746,0.13050485,0.10632882,0.090454765,0.0818286,0.07642061,0.07103384,0.0652724,0.06017758,0.05735294,0.05677867,0.05801793,0.059700217,0.062094867,0.067833036,0.08506461,0.12582576,0.20009804,0.30667162,0.42854226,0.54124933,0.6244853,0.67215323,0.68763155,0.6783216,0.6501474,0.60920936,0.5595975,0.50064504,0.428498,0.3440865,0.25938275,0.19044156,0.14576404,0.12052942,0.104774624,0.0921819,0.082559,0.07679974,0.073902614,0.07159502,0.06859139,0.06517972,0.06225355,0.06065302,0.06055993,0.061771046,0.06359682,0.06543368,0.06666207,0.06699785,0.066468835,0.06582495,0.06594356,0.06723798,0.06915457,0.07082375,0.07201936,0.073985375,0.07961313,0.09208573,0.1120618,0.1354099,0.1540576,0.16072862,0.15354897,0.13735507,0.120290786,0.108644396,0.10388056,0.10295013,0.10180539,0.097943,0.09162139,0.084614925,0.07914605,0.07651266,0.07685818,0.07877814,0.080618456,0.081037134,0.08013237,0.078417204,0.076544456,0.07460319,0.0729701,0.07213492,0.07246994,0.073407166,0.07405705,0.0739551,0.0734995,0.073141806,0.07282897,0.072178036,0.07123401,0.07037112,0.06993485,0.069702804,0.06946089,0.06896194,0.06991172,0.078126974,0.10616228,0.16636227,0.2588059,0.36091658,0.43690696,0.46026286,0.43231416,0.3783132,0.32720223,0.2940525,0.2776962,0.26866677,0.2584839,0.24259788,0.22134589,0.19743942,0.17497586,0.15678321,0.14385308,0.13474262,0.12699111,0.11975033,0.11605516,0.122087084,0.14088355,0.16704725,0.18709557,0.1891173,0.17121686,0.14245911,0.11479115,0.09488056,0.08274975,0.0749272,0.069216266,0.06474326,0.061695155,0.05954303,0.057945564,0.056736708,0.056326758,0.056765914,0.05876304,0.06591203,0.08855059,0.14150013,0.23569123,0.3658173,0.5070224,0.6259878,0.6984859,0.7225842,0.7126307,0.6872797,0.65478987,0.6139124,0.5580129,0.48410383,0.3959595,0.30462223,0.22473939,0.16660465,0.13256596,0.11583211,0.10853708,0.105534114,0.10798902,0.11875469,0.13852416,0.1623032,0.1822036,0.19262348,0.19386202,0.19035983,0.18669309,0.18399155,0.18057512,0.17348425,0.16196243,0.14748941,0.13336654,0.12203056,0.11474669,0.1113078,0.110636346,0.11103994,0.11270713,0.119866036,0.14343579,0.19471128,0.280129,0.39015332,0.5049538,0.59849095,0.6551761,0.6719544,0.6599799,0.6334476,0.6008713,0.56142336,0.5089659,0.4421859,0.3670523,0.2948492,0.23384468,0.18618578,0.14873432,0.118006684,0.093415715,0.077104114,0.07122784,0.07505506,0.0842965,0.092635386,0.09526762,0.091624595,0.08527177,0.08042232,0.07864916,0.07849913,0.077969424,0.07654912,0.07506152,0.07443076,0.07468089,0.07546824,0.076282136,0.07691886,0.077146895,0.07703799,0.077701375,0.08215772,0.094908826,0.118309,0.14862409,0.17564194,0.1888506,0.18479185,0.16876942,0.15001048,0.1352569,0.12677698,0.12306369,0.120850034,0.11662227,0.10860952,0.097769134,0.0868217,0.07821941,0.07276199,0.06958594,0.06745357,0.065752305,0.065779164,0.070512705,0.08393419,0.1080387,0.1397276,0.16967744,0.1867732,0.18520862,0.16863458,0.14636256,0.12692283,0.113575704,0.106149666,0.102347314,0.099909,0.09598052,0.089816414,0.08185401,0.07397771,0.06684659,0.06157421,0.062173475,0.078180715,0.12256562,0.20012589,0.29857054,0.38624188,0.432909,0.42702937,0.38581288,0.33696362,0.30193302,0.28399315,0.27600572,0.26870987,0.25681552,0.23821032,0.21334302,0.18521313,0.15877678,0.13819714,0.124425195,0.11471056,0.10529765,0.093735375,0.08045379,0.067549,0.057287034,0.050630298,0.047202677,0.046046298,0.04615249,0.046882883,0.047613423,0.04802099,0.047907114,0.04755336,0.04714857,0.046730008,0.046024773,0.045020517,0.04406449,0.04361197,0.043800186,0.04492652,0.049802613,0.06650942,0.10892642,0.18905433,0.30739877,0.44561324,0.5764554,0.67575115,0.73451996,0.7525256,0.7347471,0.6867966,0.61957437,0.54430026,0.46746257,0.38783646,0.3045533,0.22405732,0.1577437,0.113207616,0.08831966,0.07613481,0.07102356,0.073355526,0.08670443,0.11289672,0.14725338,0.17711091,0.18971922,0.1787837,0.15081775,0.117867224,0.09168095,0.0762786,0.06976076,0.067113996,0.06424133,0.059691604,0.053823296,0.04801683,0.043258578,0.04030396,0.039506834,0.041738357,0.05050048,0.07391298,0.123643,0.20689611,0.31920937,0.44160363,0.5513165,0.63109994,0.6770503,0.69247836,0.68350595,0.65415627,0.60830885,0.5499,0.48103687,0.40302023,0.31894147,0.23891354,0.17445713,0.13180603,0.10660542,0.09038008,0.07717821,0.0662922,0.05894305,0.05550839,0.05513041,0.056508422,0.058157533,0.058987815,0.058455814,0.057147373,0.055616897,0.054232907,0.052593976,0.050636172,0.048602123,0.04714342,0.046438966,0.04628469,0.04631561,0.046679735,0.047733624,0.05035168,0.05622615,0.06919638,0.09337262,0.1293544,0.1701154,0.20315127,0.21788251,0.21228777,0.19308025,0.16986026,0.15022661,0.13760383,0.13189918,0.13009088,0.12844016,0.124666505,0.11935234,0.11440917,0.11101978,0.10862412,0.105901875,0.10257294,0.10035032,0.10321083,0.115697555,0.14000387,0.1721149,0.20237257,0.22054726,0.22222994,0.20983143,0.18869068,0.16410649,0.14018223,0.12104353,0.108805604,0.10327127,0.10148863,0.100088544,0.09723734,0.09305832,0.08951356,0.0873822,0.087859325,0.0945021,0.119026326,0.17443661,0.2631057,0.36321354,0.43874323,0.46178603,0.4334592,0.37898505,0.327691,0.2948285,0.27921292,0.27169165,0.26332808,0.24950986,0.22938807,0.20531887,0.18111841,0.16079472,0.14629711,0.13647042,0.12817846,0.119536586,0.11306745,0.1148895,0.12975891,0.15583475,0.18416637,0.20409416,0.20944159,0.20106484,0.18474446,0.16745962,0.15419258,0.14669012,0.14283602,0.13961509,0.13438372,0.12828073,0.122598164,0.11900558,0.116173,0.11367089,0.112214565,0.11684736,0.13712311,0.18462591,0.26757172,0.38115326,0.5064303,0.6144821,0.6816988,0.70060897,0.6828831,0.6486366,0.61155933,0.5724192,0.5238399,0.46144208,0.3885468,0.31430534,0.24750708,0.19310202,0.15079373,0.117847025,0.091953814,0.074166514,0.067530185,0.07412177,0.09193274,0.114257,0.13333984,0.14422558,0.14800507,0.14835848,0.1483951,0.14697224,0.14170724,0.13080832,0.11588412,0.09977343,0.08531507,0.073524676,0.06445774,0.05776729,0.053094808,0.04978402,0.049045052,0.05630207,0.08411228,0.1441815,0.24124694,0.36285353,0.48917112,0.5969294,0.671772,0.7049455,0.6986347,0.6638844,0.6166958,0.5670182,0.51168776,0.44252732,0.35806787,0.27034625,0.19629855,0.14660154,0.12104499,0.112061165,0.11097107,0.110938966,0.108374275,0.103354506,0.09846405,0.09695274,0.099155635,0.1031101,0.10534417,0.104801364,0.10227322,0.09980029,0.09790983,0.09611703,0.09387524,0.09155685,0.089698516,0.0883623,0.08710728,0.08617765,0.08613077,0.087774,0.09242192,0.10414595,0.13275172,0.18953328,0.28246564,0.40398037,0.5346435,0.64567846,0.7168843,0.73964125,0.7222633,0.68029577,0.63023776,0.57873446,0.52155524,0.44976318,0.36314547,0.27428314,0.20125397,0.15345158,0.12736434,0.11333539,0.10570528,0.106657766,0.12337919,0.16217037,0.22628355,0.3120714,0.41213062,0.5133721,0.6033273,0.6690678,0.70211,0.69848496,0.66096747,0.5971342,0.5157339,0.42561367,0.336502,0.25877833,0.19979572,0.15969639,0.13392298,0.11820763,0.11354316,0.1263265,0.16425724,0.22900395,0.3085713,0.3781501,0.41269788,0.40233222,0.35944188,0.30790162,0.26848775,0.2473287,0.23901065,0.23338765,0.2232349,0.20601125,0.18353975,0.16029851,0.14100146,0.12842391,0.12178186,0.117810704,0.11323852,0.107777245,0.10527716,0.11120046,0.12831022,0.15222783,0.17381738,0.18451084,0.1834135,0.17497213,0.16500443,0.15527257,0.14645712,0.13901418,0.13396992,0.13013597,0.12557831,0.11916468,0.11220599,0.10602179,0.101298876,0.09736612,0.09653813,0.105697095,0.1382249,0.20598726,0.311326,0.43858334,0.56232625,0.6588993,0.7193745,0.74391127,0.73575634,0.69511205,0.62690634,0.5415539,0.45286655,0.368852,0.29277194,0.22636901,0.17382534,0.13811159,0.118089736,0.109094195,0.10691727,0.110871576,0.122560896,0.14222811,0.16544169,0.18253656,0.18459435,0.16816933,0.14009209,0.11165743,0.09334483,0.08759272,0.090384424,0.095019735,0.09699916,0.0954589,0.0914753,0.086922646,0.08331683,0.082393825,0.08482502,0.090274625,0.09907564,0.11696198,0.15645061,0.22910826,0.33535063,0.45769858,0.57119447,0.65369487,0.69818395,0.7080255,0.6937352,0.6635962,0.6221861,0.5691901,0.50130206,0.41878104,0.32836244,0.24621238,0.18639712,0.15438943,0.14218836,0.13813625,0.13391417,0.12769713,0.121252745,0.116110206,0.113596,0.11330128,0.114773296,0.11656588,0.118500054,0.12043802,0.12223273,0.12275111,0.12148115,0.12021626,0.12140421,0.12602943,0.13088106,0.13258554,0.13007611,0.12686443,0.12677415,0.13090204,0.13662894,0.14073746,0.14267053,0.1444979,0.14841388,0.15373693,0.15709715,0.15473826,0.14541592,0.13107951,0.115243055,0.10098883,0.08969486,0.08207065,0.07810626,0.077470206,0.0785636,0.07980328,0.08022004,0.080125175,0.079979636,0.079873025,0.07938355,0.078403026,0.077191286,0.07631863,0.076182015,0.07719455,0.0793117,0.08172807,0.08264333,0.08086942,0.07701383,0.07361305,0.07264762,0.07391742,0.075352095,0.07539859,0.07439971,0.073729314,0.07418614,0.07515374,0.07540691,0.07602019,0.08353904,0.11204978,0.1746252,0.27079454,0.37570688,0.45221385,0.47332224,0.4420924,0.3851252,0.3323607,0.29868817,0.28223026,0.2730285,0.2618046,0.2444263,0.22142921,0.19638582,0.17295434,0.15344565,0.1381958,0.12626003,0.115946315,0.10662197,0.100034416,0.10147663,0.11550685,0.14152186,0.17005472,0.18889081,0.1902864,0.17704815,0.15790738,0.14165573,0.1312613,0.12529062,0.12006866,0.113196276,0.10405237,0.093704395,0.083535194,0.07462302,0.06747241,0.06244116,0.061178934,0.0680105,0.09283972,0.147433,0.24094701,0.3672584,0.50557435,0.6247727,0.7022702,0.7318583,0.7239363,0.69352037,0.6496864,0.5937945,0.5236523,0.44130716,0.35482693,0.27506554,0.21018624,0.16180621,0.12749608,0.10355785,0.088554986,0.08214983,0.08439204,0.093685925,0.10747499,0.12189794,0.13446875,0.14365898,0.15046775,0.15506619,0.1576022,0.15632711,0.15066409,0.14059848,0.12836905,0.11624745,0.10633248,0.09860552,0.09196261,0.08469015,0.076866716,0.07002097,0.066884786,0.069766074,0.0812577,0.10286095,0.13227654,0.16148786,0.18039036,0.18450499,0.17725234,0.16649115,0.15728728,0.15106007,0.14670414,0.14289063,0.13791788,0.13049364,0.12112524,0.112002045,0.105440825,0.10199816,0.10054656,0.10015758,0.101068944,0.105530836,0.11680231,0.13788624,0.16810328,0.20040457,0.2233751,0.22758281,0.21184327,0.18308862,0.15091969,0.12281558,0.10187873,0.08882815,0.08261075,0.082253166,0.08592662,0.09157414,0.09626462,0.09804654,0.09656095,0.093520544,0.09175452,0.094219096,0.103826344,0.12065509,0.14164668,0.1592315,0.16702811,0.16187324,0.14739169,0.1301044,0.11692276,0.110652514,0.10983306,0.11038616,0.10909265,0.10517884,0.09958983,0.09328597,0.086876415,0.081001036,0.076617725,0.074623264,0.07611758,0.08345699,0.099452026,0.12452566,0.1532922,0.17633049,0.18601348,0.18209676,0.17112677,0.1605171,0.15358756,0.14896725,0.14440078,0.13905548,0.13370417,0.12878615,0.124194406,0.119490355,0.11468462,0.10962248,0.104225904,0.09933284,0.09969094,0.115430295,0.15912904,0.234803,0.32809782,0.40734974,0.4427147,0.4260459,0.3766191,0.32448626,0.29051474,0.27697834,0.274092,0.2704508,0.25951377,0.24028535,0.21568567,0.19031478,0.16846551,0.15214877,0.14113867,0.13325532,0.12716247,0.12354708,0.12645338,0.13849324,0.1573714,0.17251657,0.1731329,0.15494005,0.12653707,0.101261735,0.08881276,0.088503025,0.09337189,0.097005196,0.09681011,0.09367017,0.08848351,0.082548685,0.076844506,0.072984956,0.07139952,0.0720967,0.076496035,0.091422774,0.1300848,0.20523942,0.31943026,0.45637813,0.5884567,0.6885824,0.74550104,0.76140755,0.7458415,0.7054045,0.64473915,0.5681315,0.48083845,0.38872555,0.29877463,0.22123396,0.16457744,0.1310993,0.11399958,0.10504953,0.1000143,0.10157875,0.11420158,0.13934003,0.17108132,0.19730496,0.20553432,0.19049782,0.15780567,0.11996826,0.08931449,0.07121935,0.063894846,0.061572805,0.060491826,0.059864704,0.060578585,0.061824758,0.06196774,0.060145736,0.057422485,0.05606608,0.060610622,0.079693735,0.12543522,0.20523675,0.31525478,0.4374441,0.5499263,0.6335735,0.6804337,0.6910023,0.67365867,0.6385476,0.5932892,0.54066867,0.4782003,0.40446243,0.32200256,0.24135719,0.17449088,0.12900662,0.10334942,0.09078327,0.08473279,0.08150355,0.0791759,0.07622546,0.07160052,0.06560977,0.059452686,0.054503273,0.05126773,0.04955873,0.048824087,0.048525944,0.048191216,0.047439422,0.046089705,0.044410016,0.042768102,0.041523486,0.040636793,0.04002534,0.039525077,0.03932899,0.04039909,0.04519112,0.05643366,0.07500839,0.09776005,0.119116865,0.13411768,0.14097689,0.14053905,0.1349023,0.12695399,0.120327525,0.11830708,0.122091986,0.12959482,0.13708203,0.14100651,0.14075083,0.13813733,0.13619156,0.13623302,0.13770746,0.13905667,0.1395424,0.13868691,0.13658385,0.13321114,0.13046335,0.12969209,0.13172905,0.1332984,0.13165627,0.124753766,0.1154784,0.10666627,0.10140732,0.09973997,0.10126672,0.10420545,0.10700956,0.10849103,0.108578384,0.10814255,0.109547555,0.11987841,0.15162148,0.21614875,0.30908418,0.40405154,0.46473768,0.47083083,0.43169665,0.3767433,0.33200607,0.30590978,0.29254386,0.2820967,0.26928025,0.25307032,0.2356891,0.21872227,0.20331459,0.1889553,0.17597462,0.16513579,0.15777792,0.15416746,0.15408762,0.15863758,0.1704096,0.1902598,0.21301527,0.22807963,0.22720885,0.21106535,0.18979062,0.17408852,0.16873951,0.17090224,0.17572711,0.17957707,0.18062253,0.17743213,0.1700965,0.16089307,0.15322138,0.14877586,0.14857852,0.1560266,0.18111151,0.23697095,0.3322682,0.4593389,0.593211,0.70051855,0.7574875,0.7600885,0.7228253,0.667459,0.6114171,0.56078243,0.511171,0.4538914,0.38582817,0.31296018,0.24722458,0.19703911,0.16262883,0.13900076,0.122722946,0.114776604,0.11690208,0.12672858,0.13870709,0.14765756,0.15310742,0.15666747,0.16041303,0.16415934,0.16709065,0.16731738,0.16344088,0.15502928,0.14380944,0.13181247,0.119997196,0.10812495,0.09655952,0.08675491,0.07980193,0.07544171,0.07248948,0.070377916,0.069371164]