[0.00064206787,0.0015034744,0.0046419417,0.012384627,0.027104838,0.050002545,0.07846648,0.10662657,0.1264367,0.13363598,0.12848902,0.11671748,0.10287825,0.09067828,0.08045293,0.07359624,0.06919693,0.06577006,0.060018804,0.052040532,0.045262117,0.044194248,0.050004613,0.059993178,0.07136145,0.081474625,0.08758339,0.084863484,0.072279625,0.054457262,0.042431593,0.044277895,0.061635,0.086587906,0.10928839,0.12129864,0.12055057,0.1092506,0.09389352,0.08232561,0.08008406,0.08583849,0.09167921,0.08960577,0.078281544,0.06413305,0.055176858,0.055246007,0.061033357,0.066935726,0.068667956,0.067552835,0.06661505,0.0681802,0.07066365,0.07205114,0.07161086,0.07073321,0.06950573,0.06617766,0.058464278,0.047299433,0.03717229,0.034324694,0.04247768,0.060861696,0.082918964,0.099716716,0.10293891,0.09080588,0.06774212,0.042943735,0.024066254,0.01563988,0.018356666,0.031420853,0.052230004,0.07665197,0.0989525,0.113606475,0.11744826,0.11085579,0.09927919,0.09007733,0.090653144,0.10146645,0.11776901,0.1295164,0.13080893,0.11932301,0.10083222,0.082525335,0.074844204,0.081665374,0.1012812,0.122787796,0.13779269,0.14212406,0.13887726,0.1303649,0.11816451,0.10204805,0.08306881,0.06263737,0.04328208,0.02814061,0.020385243,0.020581113,0.025624275,0.029873287,0.029491486,0.024984432,0.02056364,0.020053545,0.024298312,0.03192834,0.04210942,0.055340063,0.07278279,0.09386232,0.11780933,0.14172153,0.1626045,0.17362422,0.16989754,0.1496552,0.1203992,0.093564175,0.07978926,0.08194799,0.09477535,0.109066166,0.11660663,0.11506563,0.10667029,0.09533707,0.083021455,0.07060707,0.06113097,0.05934083,0.068518296,0.08533343,0.10219043,0.11122168,0.110183865,0.10054341,0.08587717,0.06863632,0.052320626,0.040835332,0.037474796,0.041346516,0.04765734,0.050415028,0.046763077,0.038041417,0.0287506,0.022798993,0.022150012,0.025802126,0.033089038,0.04468119,0.0633987,0.08911947,0.11673862,0.13694151,0.14337379,0.1368141,0.123741955,0.11078752,0.10024076,0.09154999,0.083524205,0.076531835,0.07042783,0.063822694,0.05521245,0.046117444,0.041612536,0.046806965,0.06244411,0.08406984,0.10548014,0.12275547,0.13518314,0.14293277,0.14589456,0.14311236,0.13465331,0.12025524,0.1014095,0.08153766,0.06788285,0.0664308,0.07709368,0.09214904,0.10189127,0.10279823,0.09840003,0.09621745,0.10133105,0.115480274,0.13697621,0.15902425,0.1730656,0.17118444,0.15796854,0.14151318,0.12990706,0.11778885,0.1016044,0.08241408,0.06944842,0.065470874,0.06616933,0.066806816,0.06787934,0.07337147,0.08202497,0.089734145,0.0909215,0.08519453,0.07423328,0.064679794,0.061504383,0.06688709,0.07414151,0.075584464,0.06788265,0.056466475,0.049595285,0.05186421,0.063158266,0.07811711,0.090738446,0.09401214,0.08778832,0.07753471,0.073194794,0.07820222,0.08716351,0.089576505,0.07960298,0.061446726,0.046741426,0.04705493,0.06622493,0.09663847,0.123719476,0.133254,0.12108072,0.09260597,0.06022897,0.035499074,0.027865708,0.041981492,0.075193495,0.115873896,0.1462292,0.1542634,0.13975276,0.115599655,0.09575229,0.08739034,0.08592331,0.081864595,0.068579264,0.048688933,0.030813515,0.02306431,0.026777705,0.03803685,0.05166908,0.064871706,0.07544143,0.079949535,0.07592124,0.06626565,0.059943646,0.06400534,0.077829264,0.093081735,0.103379406,0.10664024,0.10574258,0.10252782,0.101414315,0.10601827,0.11831492,0.13168512,0.13752341,0.13157417,0.119612165,0.11089361,0.10992683,0.11464378,0.11917221,0.12176577,0.12341327,0.12842669,0.13792954,0.1505612,0.16052522,0.16067779,0.14599548,0.1167086,0.08034561,0.046514947,0.023294149,0.012312144,0.010802768,0.013779131,0.017768988,0.021818489,0.026889876,0.032922465,0.037955858,0.03860942,0.034886513,0.030995278,0.03433113,0.049579073,0.07442388,0.100215025,0.115562074,0.11530941,0.100995354,0.08119894,0.06220852,0.047628194,0.036357667,0.027860329,0.021430032,0.017159855,0.014525343,0.013430461,0.014069212,0.01698883,0.02300485,0.03343515,0.04835452,0.06427587,0.074451804,0.0755226,0.07318368,0.08043402,0.10471616,0.13986474,0.16743644,0.17253025,0.15222399,0.11825299,0.08542266,0.064333946,0.05563615,0.053582575,0.05162855,0.046931148,0.04203448,0.041005436,0.04713905,0.05896653,0.07238535,0.082807936,0.08971871,0.09509093,0.09885949,0.09708608,0.08469439,0.06374118,0.042062238,0.029508324,0.028793544,0.03725362,0.05095437,0.06978324,0.09458057,0.12185782,0.14392062,0.15383166,0.15084755,0.13797742,0.12033978,0.103808425,0.0969613,0.104076,0.12109015,0.1343317,0.1333272,0.116440766,0.09297877,0.07220773,0.060573082,0.05808352,0.06336316,0.07110656,0.07621301,0.0729062,0.06182162,0.0475729,0.038677637,0.040106762,0.051904485,0.06860433,0.08322994,0.09132441,0.09178505,0.0866569,0.07865635,0.07142428,0.067165874,0.06573333,0.06403728,0.060285512,0.055514928,0.05299927,0.053613853,0.057048097,0.062126864,0.06986249,0.07954597,0.09090606,0.102013074,0.1121097,0.117215045,0.11341829,0.099140495,0.08007605,0.06534959,0.06132998,0.06739686,0.07716721,0.083225854,0.08185908,0.07700349,0.0797432,0.09980116,0.13607813,0.17375456,0.1956525,0.1933272,0.17246963,0.14506909,0.1224316,0.10797572,0.09886234,0.08864256,0.07486676,0.06031127,0.051100507,0.05128834,0.061201114,0.07929713,0.101614304,0.123991095,0.1401201,0.14883435,0.15046974,0.14914376,0.14380743,0.13429299,0.120614044,0.10836706,0.10133126,0.10068417,0.103067935,0.10589728,0.10761872,0.10954862,0.11458963,0.12686594,0.14915526,0.18115628,0.21898113,0.25239995,0.2691771,0.26060614,0.23507304,0.20984407,0.20013799,0.20033538,0.1947221,0.17018294,0.13173887,0.09457507,0.07387387,0.07464492,0.093733095,0.12349566,0.15434091,0.17563683,0.17718025,0.15627457,0.11864481,0.07827942,0.04686968,0.030714229,0.027522266,0.032465037,0.040754825,0.050601225,0.062153477,0.07584406,0.09083911,0.10368174,0.11014386,0.107119285,0.09608323,0.0816851,0.06998496,0.063818626,0.06369691,0.06722155,0.07242351,0.0758746,0.07619389,0.073588185,0.07251651,0.076926224,0.08774471,0.1004458,0.10891714,0.108920075,0.100563526,0.08617115,0.06909004,0.051977795,0.038531438,0.03226866,0.036467846,0.050410617,0.06996697,0.0873479,0.0971016,0.0973346,0.09182731,0.08427278,0.07685115,0.068862244,0.06094272,0.05541968,0.054745346,0.058339804,0.06352497,0.06776505,0.07101607,0.07449909,0.08085226,0.0913496,0.10452065,0.11372799,0.11200718,0.09748896,0.07640282,0.057746693,0.04712942,0.04417531,0.045692522,0.048772436,0.052575424,0.057019662,0.062057007,0.066518344,0.0684514,0.0662952,0.0597731,0.050965462,0.04241565,0.036843035,0.03547789,0.03836548,0.04331239,0.04705353,0.047427233,0.04569973,0.04490809,0.04756767,0.05388471,0.0640719,0.078370236,0.0951822,0.109422274,0.11369306,0.104635246,0.08430079,0.060452193,0.0397481,0.026037166,0.01857199,0.015330034,0.014040671,0.013462297,0.012805548,0.0119007705,0.01169413,0.014359911,0.022208622,0.034324784,0.04669183,0.054099914,0.056241255,0.0561218,0.05730748,0.058752686,0.05874361,0.058932345,0.06529678,0.081665486,0.1038334,0.12104585,0.12492651,0.1168695,0.10719802,0.1046376,0.10899803,0.11144177,0.104855955,0.089512765,0.07341906,0.064021096,0.06514372,0.073768966,0.08489842,0.091093324,0.08916533,0.079562806,0.07023699,0.0693272,0.08044115,0.09736938,0.108191736,0.10456026,0.086475275,0.063003935,0.043303967,0.033586673,0.03494599,0.04785629,0.07186631,0.10184682,0.12679912,0.13505508,0.12757678,0.11855421,0.124040425,0.14406466,0.16347271,0.1682052,0.16057278,0.1535637,0.15539016,0.15916501,0.15315615,0.13152407,0.10161865,0.076059446,0.065080576,0.07023211,0.08399222,0.09623515,0.09993667,0.09756588,0.09541872,0.09801805,0.10207059,0.101000406,0.09094272,0.07392845,0.05595486,0.042303696,0.036032584,0.037459295,0.045209277,0.0574906,0.07263129,0.08981779,0.10607746,0.11675281,0.11724142,0.10860153,0.0964005,0.08681283,0.08028803,0.073864825,0.06457164,0.05558045,0.052557472,0.060147524,0.07532834,0.09101898,0.099655695,0.09910222,0.090395786,0.07712441,0.06257603,0.050543036,0.04255041,0.0380028,0.034927186,0.033342797,0.03554961,0.04382342,0.057424996,0.07170697,0.08042058,0.07941265,0.07035403,0.060277194,0.057623733,0.06506932,0.07829275,0.08805993,0.08900261,0.08126783,0.07125744,0.06506071,0.06721175,0.078355215,0.09615671,0.1157039,0.13150135,0.141707,0.14698076,0.14994173,0.14922905,0.14407153,0.1342063,0.12465287,0.11974255,0.121507324,0.12697168,0.1300847,0.12531812,0.10934153,0.08489457,0.058487535,0.038964324,0.031092199,0.034258608,0.042265385,0.048164237,0.04797745,0.044320863,0.045068827,0.05941494,0.09153664,0.1380055,0.18830557,0.22892867,0.24791163,0.2399028,0.20985185,0.1712064,0.13982628,0.123804264,0.12020007,0.11745137,0.10585157,0.08373165,0.057788923,0.03683132,0.026586005,0.028544346,0.040194083,0.056695938,0.07201409,0.08257147,0.08773491,0.089347124,0.08872119,0.08683773,0.083648615,0.079763435,0.07553297,0.073044516,0.073314756,0.07626631,0.07887412,0.07850654,0.073906414,0.066349365,0.059110496,0.057287678,0.064374566,0.07846528,0.09060005,0.09172479,0.07906979,0.05884782,0.039895672,0.028134154,0.023987152,0.024899649,0.028098987,0.032858964,0.040099774,0.050744206,0.06275096,0.0715934,0.07278463,0.06595705,0.05438432,0.043295253,0.036481246,0.036284562,0.041367035,0.048222233,0.05150922,0.05053796,0.048055176,0.049941953,0.05633542,0.06379643,0.06531827,0.059318725,0.048705775,0.04162078,0.044916328,0.059643146,0.07880604,0.09035165,0.08803793,0.075223915,0.06336163,0.059719425,0.0629993,0.065484226,0.061614137,0.05242477,0.043323074,0.039652437,0.042585224,0.050098225,0.058847364,0.0662891,0.07062834,0.0714853,0.071475245,0.077012084,0.09307885,0.118207835,0.14160569,0.15283827,0.14743268,0.13106303,0.11087882,0.09313381,0.0798935,0.072432525,0.0696745,0.0700225,0.07053703,0.06975813,0.06648901,0.061995756,0.058109898,0.057453927,0.060531262,0.06531557,0.06918355,0.07031986,0.071201324,0.07411756,0.08052864,0.086439334,0.088487096,0.08566322,0.082024105,0.08137729,0.08466935,0.09003312,0.09488387,0.098270714,0.09975768,0.10044503,0.1016059,0.104177065,0.10713336,0.10785865,0.105215676,0.100056686,0.09531161,0.09221675,0.0908489,0.08919984,0.086006135,0.08009657,0.072892405,0.06680388,0.06508982,0.06840708,0.07566527,0.084552445,0.095929526,0.111715205,0.13459562,0.16053708,0.18271624,0.19159561,0.18586008,0.16920435,0.15142041,0.13767016,0.13009746,0.1251065,0.120123215,0.112618715,0.10277041,0.09150108,0.08023957,0.06987063,0.05986771,0.050293025,0.041456874,0.03475007,0.030206354,0.027191276,0.024461163,0.021599261,0.018710302,0.016360281,0.015101322,0.015484433,0.018418172,0.02599141,0.041382626,0.06619533,0.09755466,0.12753719,0.14849114,0.15760373,0.15805979,0.1528142,0.14150439,0.121815346,0.09698344,0.076252036,0.06955352,0.078272395,0.09596435,0.114249766,0.12903889,0.13905205,0.14339969,0.14242016,0.13887857,0.13565445,0.13229625,0.12589438,0.11536357,0.10149116,0.08573117,0.068525486,0.051907133,0.03862057,0.030637255,0.027308615,0.027844539,0.033235278,0.046203803,0.06642404,0.08831644,0.1018036,0.10038919,0.085442394,0.06666357,0.054825082,0.05551784,0.06759915,0.08447825,0.099612154,0.10664296,0.103223585,0.090040855,0.074471,0.0668449,0.07574007,0.099391036,0.12537195,0.13748835,0.12786573,0.10114372,0.07079733,0.04890397,0.041919734,0.04831885,0.0625451,0.07591573,0.08444967,0.0894227,0.09924101,0.11663991,0.13757242,0.1490038,0.14585249,0.13173647,0.11986064,0.11675256,0.122017086,0.12894525,0.13481504,0.13831277,0.13851702,0.13115309,0.115260474,0.09409714,0.076130964,0.068342306,0.07584109,0.09808985,0.12928905,0.15620343,0.1661383,0.15453695,0.13087441,0.11082996,0.104710974,0.109318025,0.11316299,0.10756973,0.094270535,0.081340216,0.07460422,0.07333524,0.073930696,0.07518806,0.079606034,0.089423746,0.103897244,0.11673426,0.12105406,0.11215419,0.09426737,0.07651425,0.06861243,0.07183052,0.080443434,0.08637389,0.08624089,0.0810476,0.073221005,0.06559828,0.0628056,0.071720205,0.09434813,0.12335851,0.14351477,0.14428334,0.12759508,0.10550488,0.089796245,0.085534565,0.09319929,0.109977186,0.13013302,0.1430952,0.1406283,0.12173569,0.09682801,0.07950876,0.080321595,0.09854499,0.12578306,0.14992218,0.16446328,0.16813405,0.16427241,0.15549244,0.14313437,0.1271503,0.10665599,0.08365354,0.06291043,0.053456824,0.06085278,0.08445794,0.11337281,0.13360478,0.1341465,0.115013175,0.08540988,0.05920346,0.046716217,0.050842762,0.06537601,0.07879915,0.08079023,0.06968663,0.052807648,0.041141223,0.041008573,0.05204993,0.06912654,0.08613995,0.09825379,0.10337403,0.1035772,0.10282621,0.10252639,0.09956581,0.08991935,0.07594379,0.06560731,0.06756627,0.08320531,0.108204484,0.13575356,0.16093625,0.17971092,0.18945533,0.18934618,0.18204428,0.17111045,0.15994425,0.15016003,0.14413863,0.1431849,0.14730436,0.15332861,0.1585982,0.16218294,0.16450661,0.1645181,0.15965648,0.15003656,0.13950163,0.13416226,0.13591075,0.14244272,0.1486627,0.15274304,0.15535228,0.15959854,0.16630007,0.175842,0.1863572,0.19594519,0.20051724,0.19690464,0.18513598,0.16924196,0.15538512,0.14703868,0.14604974,0.15134437,0.1616929,0.17352818,0.18395443,0.19099294,0.1959238,0.2016329,0.21071188,0.2235945,0.23623432,0.24327336,0.23922163,0.22563237,0.20792936,0.1950953,0.19031613,0.19254291,0.19524275,0.19434832,0.18806024,0.18034196,0.17520143,0.1759174,0.17995644,0.18299021,0.18085171,0.17440844,0.16697045,0.16207188,0.15990587,0.15884073,0.15728386,0.1574193,0.16495894,0.18570589,0.21707714,0.24574225,0.25358307,0.23233028,0.18907155,0.14117755,0.10287076,0.07920795,0.06750689,0.06274667,0.06079015,0.05873908,0.055232525,0.05002098,0.045412242,0.045317795,0.055048496,0.07410104,0.09650284,0.11026766,0.11217422,0.10589846,0.10307153,0.10519371,0.108712904,0.10485723,0.09507021,0.0850144,0.082873486,0.08946516,0.10099123,0.111296386,0.11513456,0.11052985,0.098305784,0.08489541,0.076777816,0.07883509,0.08759254,0.09616012,0.09669339,0.088159285,0.074816026,0.064686276,0.064503185,0.076355465,0.09551349,0.11071163,0.1121527,0.09828609,0.07929565,0.067286074,0.068055995,0.07522324,0.07848149,0.07020021,0.052623805,0.032870967,0.018644912,0.012570689,0.014014301,0.02072408,0.030271517,0.040478427,0.0502187,0.060078915,0.07076135,0.08200147,0.094451405,0.10915669,0.12619562,0.13941889,0.14203198,0.13014914,0.10886235,0.086093545,0.07082092,0.06786188,0.07855616,0.09834185,0.12068805,0.13868433,0.14786395,0.14415681,0.12652393,0.099060126,0.07122621,0.05204724,0.04401948,0.043925747,0.04672648,0.050812826,0.05633788,0.06402543,0.07219487,0.078452095,0.07991838,0.07543532,0.06617553,0.056361977,0.052469123,0.058939617,0.07649344,0.097872816,0.11423934,0.11671706,0.10683044,0.090586044,0.07775203,0.07034787,0.06777626,0.0665551,0.06723261,0.06914044,0.07216835,0.07475119,0.07765051,0.08068612,0.08317687,0.08451506,0.087136514,0.094261736,0.104795985,0.11225595,0.10930393,0.095362045,0.07680674,0.06390906,0.062144842,0.07153644,0.08460551,0.094183095,0.09487661,0.08901038,0.08255139,0.08093029,0.08360508,0.08464029,0.080537796,0.072527364,0.06619056,0.06397309,0.064902715,0.06624189,0.06660179,0.066586725,0.0667949,0.06768251,0.06814671,0.06681787,0.06273689,0.05656973,0.050610837,0.046683133,0.045400996,0.045417625,0.04629889,0.049802244,0.060163807,0.080932155,0.11059298,0.14169897,0.16212915,0.1630152,0.14244568,0.10842227,0.07241194,0.044170022,0.02735074,0.020965323,0.022633865,0.02878871,0.035454348,0.037698764,0.034532975,0.02896948,0.02672506,0.030150598,0.037222777,0.04439171,0.05093499,0.0591927,0.07015648,0.08081237,0.086595796,0.0867857,0.08619251,0.08919861,0.09457675,0.094338305,0.082977265,0.061911907,0.04047012,0.026731923,0.02425751,0.031196445,0.0442792,0.05927818,0.07160232,0.07794943,0.07876328,0.07699475,0.07422429,0.06856353,0.05836379,0.046428096,0.040166292,0.04618426,0.06546306,0.09154519,0.11421851,0.12459449,0.121368505,0.1104747,0.101151146,0.09837752,0.10142154,0.106327824,0.1107465,0.11588705,0.12451591,0.13737921,0.14973594,0.15278287,0.13983344,0.11274841,0.08345181,0.066668175,0.07042406,0.08979056,0.110984646,0.122110136,0.122153305,0.11881704,0.119704865,0.1237432,0.12409193,0.11404591,0.09434843,0.07168973,0.05425312,0.04723041,0.052336354,0.0703532,0.09857551,0.12857306,0.14706005,0.14598884,0.1286381,0.10682759,0.0895713,0.07854109,0.07059336,0.064487725,0.061134625,0.06082118,0.0622036,0.0637586,0.0678992,0.0768371,0.09106734,0.1033536,0.106507264,0.09508935,0.07357162,0.04949182,0.03270222,0.027678797,0.035253305,0.051220823,0.06962666,0.08415896,0.09021921,0.085825026,0.072011374,0.053093854,0.035198778,0.023856414,0.020749914,0.024344115,0.0317024,0.04283073,0.058591794,0.07828903,0.095069945,0.10064375,0.09060592,0.07030622,0.051064417,0.044601142,0.05512915,0.07766465,0.09894674,0.10727144,0.100028664,0.088391215,0.08628925,0.099698015,0.11937451,0.13028425,0.12315974,0.101478875,0.07777084,0.06336929,0.062776394,0.071131326,0.08136804,0.088315375,0.09362801,0.10075468,0.11056686,0.11711487,0.11302128,0.09700972,0.07717792,0.06610825,0.0714942,0.093567915,0.1245537,0.1548999,0.173465,0.17444701,0.15611221,0.12504798,0.090010166,0.061220843,0.04330665,0.035832744,0.03331699,0.03144775,0.02939338,0.030568099,0.03883875,0.054938655,0.07411064,0.08824248,0.09129437,0.084447764,0.073137246,0.06293846,0.053664234,0.044873554,0.036190215,0.031782698,0.03442417,0.047663674,0.07059876,0.10147049,0.1322959,0.15603699,0.16372345,0.15410204,0.12851423,0.09654371,0.06690573,0.048892003,0.044550147,0.05140564,0.061205953,0.067340635,0.06791684,0.06772509,0.07189778,0.0822997,0.097578056,0.115195535,0.13114922,0.13748915,0.12879382,0.10677987,0.083039306,0.06901705,0.07033777,0.08512474,0.10869906,0.13558628,0.1590671,0.17107813,0.1660676,0.14404212,0.1126199,0.08117587,0.058224935,0.046034724,0.043713048,0.04731029,0.05423254,0.06266599,0.070906885,0.07747394,0.07945151,0.07650303,0.06788277,0.057927188,0.049362395,0.045702536,0.044975355,0.047994062,0.055819865,0.07069843,0.086580254,0.09403945,0.08591492,0.06719402,0.049490497,0.042787675,0.047517583,0.058191106,0.07011145,0.08253843,0.095378034,0.1046758,0.104114376,0.09005889,0.06636332,0.04185373,0.025289327,0.01960803,0.0225135,0.029743291,0.039466206,0.05321127,0.07228146,0.09631588,0.12042985,0.14030345,0.14925094,0.14481433,0.12529188,0.0977542,0.070435755,0.052863434,0.04584161,0.045577154,0.0448377,0.041260898,0.036684226,0.03561924,0.039092537,0.044057276,0.045982216,0.04361017,0.039562467,0.03763545,0.039605055,0.04438682,0.049503997,0.052688185,0.054371297,0.056758553,0.06299076,0.07265171,0.08341085,0.09032341,0.090727694,0.08222595,0.06790392,0.054349948,0.05300777,0.069595374,0.09895036,0.12407839,0.12863839,0.109122224,0.07667212,0.04801484,0.033088367,0.032011,0.037909783,0.043706138,0.045294907,0.042808596,0.038855087,0.03819206,0.04618911,0.06785566,0.09990579,0.13119072,0.14532535,0.13831227,0.11783663,0.10090235,0.09442883,0.097453,0.10050995,0.098711394,0.08975863,0.07827719,0.069016874,0.06690127,0.07062609,0.075891174,0.07600542,0.06875595,0.05586822,0.04329564,0.036027536,0.03746685,0.048062637,0.06530765,0.08309874,0.093361914,0.09169364,0.07975113,0.06488069,0.05390252,0.05085973,0.055579077,0.064781435,0.07251672,0.07339977,0.06710904,0.059017792,0.054819316,0.05487184,0.05428846,0.049346577,0.040572632,0.032052375,0.026592905,0.025405651,0.0288134,0.038523268,0.05506285,0.0753062,0.091623425,0.09807641,0.09600032,0.09423246,0.10108906,0.11710397,0.13388257,0.14073928,0.13141224,0.10879036,0.08166309,0.061025903,0.052691814,0.05619368,0.06402298,0.06764227,0.062140346,0.04989727,0.038845625,0.037060365,0.049475193,0.07401249,0.10588133,0.13649411,0.16122007,0.17578441,0.18209355,0.1811312,0.17619722,0.16933487,0.1645845,0.16579247,0.17275418,0.18305857,0.1916172,0.1965248,0.19302452,0.17840113,0.15213719,0.12213107,0.097772144,0.084659606,0.0810966,0.08206215,0.083963394,0.08763624,0.09735587,0.11634106,0.14143461,0.1637225,0.17566878,0.1755948,0.1681183,0.15701191,0.1462882,0.13819884,0.13595246,0.13869084,0.14318424,0.1448405,0.14221519,0.13563988,0.12618281,0.11315899,0.09641718,0.07665808,0.056628477,0.039207507,0.026492037,0.019050911,0.016163163,0.017755384,0.02464441,0.038519334,0.05771697,0.07725742,0.08919654,0.08979801,0.08025668,0.06759644,0.057681512,0.05330729,0.052038636,0.049976256,0.04462612,0.036743585,0.02921824,0.024258398,0.022580916,0.023541978,0.026574602,0.031060496,0.03631253,0.041131545,0.045066852,0.04989058,0.060347844,0.08012744,0.10552281,0.12439712,0.12387374,0.10226647,0.06965934,0.040920246,0.02466411,0.023274072,0.033264995,0.048560027,0.059969712,0.061706703,0.05480889,0.04838306,0.049970612,0.06082502,0.0734214,0.08046978,0.078095675,0.069598146,0.061130706,0.06031522,0.07277603,0.09816631,0.12917888,0.15228336,0.15864123,0.14709729,0.12678866,0.106089465,0.09018239,0.077353574,0.06583537,0.055237915,0.049479302,0.05319101,0.06869378,0.092739336,0.1170491,0.13265066,0.13435942,0.123758465,0.10724091,0.09299178,0.086259596,0.0876039,0.091443926,0.09135872,0.08380582,0.072440825,0.062834464,0.058687057,0.059267953,0.06312799,0.070140906,0.079988234,0.090305984,0.097067855,0.098582946,0.0968211,0.09532074,0.09638729,0.09868854,0.101225875,0.10149401,0.09957207,0.092702985,0.081492074,0.06617304,0.0512259,0.03964207,0.03432535,0.036471453,0.04742785,0.068923235,0.098731495,0.13028513,0.15061246,0.1512738,0.1306987,0.09930884,0.06868914,0.048303545,0.03956322,0.041182954,0.050686717,0.0675984,0.08867683,0.10920622,0.123222984,0.13169087,0.13766928,0.14324161,0.14353997,0.13492435,0.119464524,0.10487598,0.09555898,0.08995164,0.08274176,0.07250074,0.060995847,0.05223022,0.046981215,0.045577783,0.047916885,0.055722427,0.06803759,0.08110262,0.08901926,0.08921454,0.08291321,0.0735194,0.063615836,0.055636376,0.052978996,0.05907701,0.07335533,0.09172847,0.10911686,0.12453798,0.13714103,0.14359662,0.1378637,0.11833129,0.0908438,0.064519,0.045772567,0.03582497,0.034095723,0.04002386,0.0528674,0.07030458,0.08914413,0.10814893,0.12686656,0.14382575,0.15371716,0.15179698,0.13695294,0.113480605,0.08827338,0.06916059,0.06430047,0.08018047,0.11719539,0.16582417,0.2076792,0.2255481,0.21313117,0.18026602,0.1443934,0.12075304,0.1153386,0.12615235,0.1475457,0.17136645,0.19181408,0.20480932,0.21235311,0.21567611,0.21511716,0.2065634,0.18825139,0.16222394,0.13535954,0.11384392,0.10036254,0.09401182,0.09319234,0.097846754,0.10818424,0.1236309,0.14122818,0.1564653,0.16395323,0.16022778,0.14688362,0.13035823,0.118343234,0.11586199,0.1257265,0.15000065,0.18722264,0.22991423,0.2652748,0.28344718,0.28082398,0.26118174,0.23196276,0.20288838,0.18069912,0.16508129,0.14958854,0.1298043,0.108500324,0.093221694,0.08699205,0.086589605,0.08480072,0.079091094,0.07161501,0.06688034,0.06566287,0.064923055,0.06283305,0.061672702,0.06578175,0.07425401,0.080177695,0.07718938,0.0671284,0.06009763,0.066347085,0.08799749,0.11861495,0.14576443,0.15973581,0.15464692,0.13522911,0.11133388,0.09609137,0.09544621,0.10683233,0.12081062,0.12665366,0.11933559,0.10076206,0.0794292,0.06266677,0.052791554,0.047582623,0.04505318,0.047172,0.058285523,0.08371123,0.12315861,0.16794808,0.19970058,0.20414352,0.18125544,0.14842178,0.12416545,0.11655667,0.11882854,0.120254315,0.11226234,0.09482365,0.07214578,0.051572274,0.03657666,0.027799616,0.022917211,0.02124621,0.023199333,0.02972003,0.0389638,0.04693869,0.048935015,0.04385413,0.034162574,0.02440576,0.017383,0.013719067,0.012736335,0.014003278,0.017065128,0.020953543,0.023975013,0.025249837,0.024856644,0.024009654,0.0231221,0.022464955,0.021569224,0.020951606,0.021210028,0.024336534,0.03124564,0.041983783,0.053892735,0.06466224,0.071634166,0.07331761,0.06844088,0.05898346,0.04939975,0.044381667,0.0446008,0.048158765,0.054143697,0.06572093,0.084786296,0.10754802,0.12240634,0.12009806,0.099829406,0.07176343,0.046772838,0.030714227,0.022328509,0.019193692,0.020076128,0.02513046,0.032714535,0.04012634,0.045934062,0.05388928,0.070491076,0.09818772,0.12896638,0.1473672,0.14255466,0.116796724,0.08379217,0.056809623,0.042760387,0.04215689,0.055168167,0.07833139,0.104701556,0.122680426,0.12865286,0.12619102,0.12419975,0.123541154,0.12072211,0.11245506,0.102113776,0.09380587,0.087655425,0.080584385,0.07129789,0.06244551,0.05619469,0.05290085,0.05124615,0.052913565,0.059108254,0.06968699,0.079177,0.0832359,0.078906335,0.06887112,0.055861548,0.044141497,0.035771694,0.033692818,0.03768364,0.04522032,0.04994972,0.047856282,0.03950439,0.03113886,0.02928101,0.037182655,0.05259922,0.06892327,0.07836459,0.07608651,0.06346781,0.04646353,0.031672955,0.022940323,0.021638012,0.028480595,0.042227536,0.058932006,0.07148792,0.07556757,0.07192269,0.06596408,0.06250527,0.062449556,0.06456441,0.06582003,0.064968355,0.060630392,0.05482654,0.05013139,0.049863458,0.053989436,0.059972692,0.0649919,0.06936113,0.07765359,0.091942735,0.10798984,0.1136404,0.10168681,0.075039536,0.047774374,0.031546995,0.029862233,0.037356064,0.047286514,0.05605982,0.06377538,0.07255277,0.08288094,0.0930097,0.097998105,0.094744466,0.08398377,0.07328112,0.07256519,0.090049565,0.12513499,0.16620827,0.19480705,0.19887036,0.18160397,0.16004936,0.14758241,0.14576764,0.14349474,0.13386719,0.118095726,0.10698641,0.10855231,0.12611564,0.15390004,0.18311042,0.2018664,0.20358795,0.18649292,0.15736194,0.12480978,0.09761322,0.07943871,0.0700843,0.06635397,0.064829975,0.06325408,0.0604722,0.057202715,0.05477786,0.055433277,0.059159655,0.06532652,0.07166957,0.07862485,0.085077755,0.08992911,0.088083215,0.07862302,0.064445,0.05496755,0.0572904,0.07353951,0.098344944,0.12385581,0.14298527,0.15304588,0.15502787,0.15415336,0.15464646,0.15752858,0.15711127,0.14823031,0.13028713,0.109576456,0.09185627,0.07885826,0.06866358,0.060818408,0.057638705,0.061989177,0.07372809,0.08896511,0.102167934,0.10905945,0.10817411,0.10065227,0.08924192,0.07737547,0.06745869,0.060016457,0.0532739,0.045882642,0.038332146,0.032647166,0.029835602,0.028534919,0.027491542,0.026603632,0.027757736,0.030875707,0.034546833,0.03607287,0.036011,0.03726403,0.043787077,0.056976467,0.07449261,0.09271607,0.106959194,0.116405584,0.12150806,0.12682296,0.13353644,0.14121445,0.14449956,0.13966131,0.124694526,0.10299247,0.079978436,0.061158013,0.048958067,0.04423104,0.04854387,0.062084794,0.081374824,0.09692911,0.10138393,0.09286851,0.078003846,0.063876115,0.054906756,0.050055187,0.046745017,0.042809576,0.038403604,0.034593787,0.03293827,0.03374282,0.036683086,0.040414903,0.04408601,0.04719067,0.049485948,0.050712343,0.05078585,0.050404176,0.050562292,0.052370843,0.056978088,0.065126635,0.07632637,0.08822805,0.09805846,0.10433477,0.10682526,0.1063261,0.10397323,0.102979414,0.10569707,0.11234859,0.11847496,0.12011721,0.115209706,0.10596219,0.09504455,0.08679926,0.08450539,0.090618074,0.10259623,0.11610571,0.12661904,0.13342774,0.1369657,0.13735712,0.13329858,0.123933345,0.110432245,0.095103525,0.080242634,0.066525206,0.05430213,0.044033825,0.036863256,0.033478916,0.03341807,0.035751548,0.039091364,0.044013176,0.05134076,0.06392965,0.08151612,0.10337607,0.12449318,0.14155404,0.1494145,0.14693646,0.13452666,0.11796693,0.102335356,0.09072242,0.08170987,0.07353201,0.0655583,0.058916822,0.055057947,0.054651055,0.057561096,0.06193177,0.06588067,0.06746685,0.066678815,0.06411592,0.061564278,0.059786823,0.05900224,0.058180735,0.05739236,0.05699044,0.05784355,0.060481906,0.06696055,0.080905475,0.10316823,0.12865828,0.14552768,0.14549194,0.1281781,0.1034877,0.08121293,0.067473866,0.061701257,0.0611235,0.061669108,0.060717363,0.057601202,0.054449882,0.05287528,0.052623313,0.05115123,0.04800695,0.0450429,0.045660853,0.050535414,0.057693034,0.063151866,0.063980855,0.059341718,0.051170785,0.04254714,0.03602161,0.032959044,0.033762995,0.03874709,0.04649734,0.054583948,0.059581563,0.062041286,0.06605864,0.07895577,0.10277558,0.133022,0.1585171,0.17042662,0.16505887,0.14600177,0.12110182,0.100399606,0.09126181,0.09314287,0.09779411,0.09551278,0.08383354,0.06793804,0.05510593,0.047899663,0.0442069,0.041198734,0.038547073,0.03803757,0.040677328,0.046198472,0.052884158,0.059642036,0.06496339,0.06832386,0.06937639,0.06975138,0.07130623,0.07572047,0.08290282,0.09089155,0.09639782,0.095729716,0.088367544,0.077929534,0.071226686,0.07225255,0.079145364,0.085765146,0.08685409,0.08216816,0.07500366,0.07012668,0.06936535,0.07219706,0.07601256,0.07968033,0.0829255,0.084754504,0.08284625,0.075179696,0.064232714,0.0548851,0.052653823,0.058017742,0.06820124,0.07791164,0.08490822,0.08892559,0.09245845,0.09681051,0.10531155,0.11924661,0.13833632,0.15449186,0.16003643,0.15027265,0.12993015,0.105168514,0.08238355,0.06529065,0.05933726,0.06739492,0.088359766,0.11215749,0.12832873,0.12870567,0.11593321,0.09633594,0.07841424,0.065455556,0.05723588,0.05133262,0.045408607,0.039544713,0.033950098,0.030078327,0.027397849,0.025926664,0.024556713,0.023826025,0.02376315,0.024619376,0.025027027,0.023886407,0.02105129,0.017750131,0.015124089,0.013043721,0.010887933,0.008366481,0.0060924143,0.0045946655,0.0039811567,0.004117201,0.005129998,0.0074664676,0.010919061,0.014723718,0.017689867,0.019734425,0.0208847,0.02109948,0.019602716,0.016900925,0.014982599,0.016261905,0.021829022,0.031154176,0.043023154,0.05523647,0.06453382,0.067962416,0.064488545,0.055981357,0.044969026,0.03479321,0.028347984,0.027896618,0.03206722,0.036538888,0.03701287,0.032803655,0.027303109,0.025181683,0.03058505,0.0435213,0.059517145,0.06961123,0.068522245,0.058226045,0.04883844,0.049179774,0.062685706,0.08417934,0.10545972,0.11787333,0.11997864,0.11559106,0.11197881,0.10987923,0.10627782,0.0963726,0.08198757,0.067239754,0.057015374,0.051072072,0.047084033,0.042393666,0.03817421,0.038437907,0.044961218,0.05445202,0.058499247,0.05275315,0.03869928,0.024077447,0.014194406,0.010874078,0.0118719535,0.014734668,0.017579047,0.01984392,0.022079507,0.024692988,0.02733709,0.029635973,0.03357198,0.044396594,0.06555758,0.09457395,0.120330185,0.13394181,0.13486166,0.13355924,0.13686572,0.14183407,0.1382464,0.12341216,0.10464838,0.0913549,0.0852696,0.08387989,0.08874595,0.104177974,0.12831542,0.1472502,0.14735019,0.127366,0.10123822,0.08349991,0.077822916,0.07791843,0.07658888,0.07293346,0.06938707,0.06826735,0.069806136,0.07418564,0.0824802,0.09500111,0.10909291,0.1186874,0.11773918,0.106214695,0.090679355,0.07928392,0.07361948,0.06865136,0.05953558,0.047337133,0.03861044,0.038458303,0.046928328,0.05902399,0.069053635,0.074321814,0.075066514,0.07357285,0.07092226,0.06897891,0.06985752,0.07842312,0.0955629,0.11720506,0.13181143,0.13242945,0.118638724,0.09898583,0.0796324,0.06503787,0.055982873,0.053423177,0.05520897,0.057782754,0.058826867,0.060224574,0.0656329,0.07691851,0.090541065,0.101854,0.10660533,0.10667015,0.10398469,0.10045143,0.093251705,0.08150273,0.06654507,0.0539481,0.047323514,0.047274336,0.049256433,0.04872648,0.042883668,0.034312185,0.027511908,0.026052358,0.028829658,0.031505972,0.030556282,0.02624972,0.02262727,0.023674352,0.030574286,0.040505562,0.04854645,0.05077484,0.04730691,0.042497396,0.04148737,0.045430172,0.050353605,0.050812602,0.045744166,0.039821286,0.04006773,0.048941627,0.06211702,0.070985116,0.07040312,0.061805066,0.052025307,0.046815023,0.04911453,0.05723582,0.068120085,0.075153045,0.07435899,0.06378775,0.049209464,0.036424194,0.0309614,0.032822456,0.041650023,0.056024004,0.07469994,0.09419715,0.11089603,0.12193749,0.12552652,0.119952254,0.10508012,0.08442625,0.06460007,0.05157164,0.048226353,0.053316105,0.0640381,0.0756075,0.084374286,0.087581106,0.08687074,0.08543056,0.0862481,0.088785894,0.09143368,0.09561309,0.1058634,0.12555763,0.14956152,0.16613513,0.16487111,0.14620353,0.121087365,0.10102025,0.09060804,0.086194016,0.0838184,0.08187883,0.0824489,0.08640205,0.093309104,0.099696614,0.10248471,0.09957698,0.0922196,0.08256302,0.0722471,0.06109144,0.049098197,0.03783757,0.030534029,0.029162409,0.033802625,0.042281467,0.054393467,0.07103881,0.09357003,0.11754316,0.13502292,0.1397655,0.13570897,0.1338867,0.14232206,0.1574812,0.16757534,0.1636452,0.14550987,0.119753696,0.093627155,0.073743634,0.06609837,0.07314705,0.090266645,0.10594543,0.11240366,0.1106249,0.110657655,0.11800447,0.1312768,0.1443996,0.1586886,0.17919718,0.20541574,0.22333984,0.21601957,0.18040578,0.13246754,0.09537383,0.08216381,0.08931175,0.102831595,0.10883073,0.10284937,0.089487314,0.078481615,0.074748985,0.07657659,0.0768337,0.07093144,0.059128713,0.04595508,0.036084477,0.032137442,0.03507441,0.043134715,0.05312707,0.060411196,0.06421502,0.067668356,0.07548192,0.087577485,0.098087914,0.10063734,0.0930034,0.07915572,0.06571487,0.06029923,0.06693828,0.08340787,0.09974491,0.10575006,0.098207265,0.083986215,0.07385845,0.074678004,0.08707848,0.103969224,0.117265455,0.11866945,0.109551065,0.095213525,0.084564805,0.079578765,0.08075138,0.08750845,0.10273708,0.12667166,0.15506701,0.17796338,0.18590762,0.17496008,0.15080227,0.12541293,0.111735374,0.11501745,0.13088304,0.147133,0.15369374,0.14837873,0.13753004,0.12891866,0.12580453,0.12513012,0.122148104,0.11477959,0.10729479,0.10500696,0.10992215,0.11691033,0.119566,0.11507127,0.10543788,0.09397624,0.082888514,0.07405093,0.068608604,0.065740205,0.062289312,0.055981338,0.04757978,0.040528063,0.03824834,0.043051336,0.055451274,0.07249118,0.08830222,0.09665471,0.09721035,0.095933266,0.10186198,0.12062452,0.14844757,0.17366989,0.18045247,0.16369928,0.13093205,0.100861914,0.08491578,0.08335731,0.08557818,0.0842174,0.0778374,0.0704369,0.06372314,0.057016034,0.049373552,0.04235284,0.03932621,0.04236074,0.05251075,0.06843504,0.08673105,0.1009795,0.105653405,0.1012828,0.09412121,0.09097392,0.091778606,0.09216038,0.08975678,0.08875529,0.09429882,0.1054044,0.11394263,0.1132414,0.10431922,0.09494243,0.0921756,0.09776369,0.11046133,0.12649989,0.14193092,0.15017255,0.14848292,0.13885647,0.12906532,0.12518962,0.12798782,0.13335384,0.13554998,0.13206084,0.122338764,0.10958346,0.09717664,0.08992318,0.09031955,0.097551554,0.10695017,0.11275502,0.11331671,0.110482015,0.10755121,0.10427689,0.099191844,0.09126095,0.08272633,0.075727284,0.07261998,0.07343172,0.077727176,0.08296625,0.08715379,0.08963477,0.09112383,0.092749245,0.09515301,0.10049162,0.11180558,0.13059844,0.15350242,0.17273073,0.18126868,0.1776669,0.16540211,0.14989056,0.13451865,0.122157015,0.11297392,0.105464645,0.09630344,0.08564326,0.077484556,0.07720408,0.086302824,0.101345986,0.11738086,0.12996924,0.13782148,0.13964474,0.13693321,0.13040952,0.12195734,0.11131353,0.1000699,0.09143159,0.08903421,0.093982555,0.10606579,0.1266662,0.15544312,0.18580072,0.20546365,0.20759387,0.19535488,0.17905517,0.16438669,0.15177721,0.13760996,0.120508246,0.100724764,0.081055395,0.06523296,0.056298006,0.054641973,0.058275167,0.06601327,0.081816584,0.1128392,0.16234843,0.21836941,0.25667635,0.2555744,0.21607448,0.16269112,0.1253488,0.11668249,0.12663783,0.13666718,0.13784723,0.13485314,0.13549337,0.13860758,0.13545711,0.120019555,0.09613395,0.07410606,0.061729178,0.060599398,0.06735788,0.07861353,0.092452265,0.1091885,0.12810142,0.14780551,0.16508894,0.17800426,0.1854782,0.18589903,0.17978211,0.16651535,0.15312888,0.14335218,0.14597324,0.15793042,0.17636468,0.18653853,0.18174623,0.15796804,0.12736516,0.101862304,0.091576904,0.092892945,0.09779071,0.09766013,0.09211778,0.086352885,0.08793789,0.100050114,0.12043819,0.14377558,0.16648777,0.18754643,0.20634066,0.2209044,0.22961308,0.23379464,0.23831683,0.24912167,0.27054146,0.29988724,0.32571802,0.3296707,0.30152822,0.2479822,0.19283396,0.15673377,0.14699142,0.1546969,0.17011042,0.1858309,0.19934149,0.20576264,0.20083736,0.18240088,0.15383218,0.12297376,0.09877012,0.08777857,0.0903412,0.100980066,0.11181571,0.11690247,0.11497825,0.108118944,0.1010263,0.098875344,0.10569003,0.12201198,0.14404118,0.16625755,0.18308233,0.1911753,0.1877677,0.17288949,0.14950627,0.12623389,0.11210095,0.113268174,0.12776947,0.14847833,0.16623002,0.17467584,0.17360723,0.16702823,0.1610791,0.15657313,0.15194595,0.1437534,0.13402249,0.12679295,0.12664057,0.1327899,0.14037055,0.14366336,0.14050603,0.1329017,0.12478795,0.11988494,0.12129811,0.12987451,0.14273088,0.15256207,0.15201329,0.1391509,0.11934746,0.10187017,0.092527844,0.09221799,0.09643758,0.10156202,0.10303777,0.10016485,0.09235713,0.084063776,0.07864321,0.079793096,0.0873492,0.10105581,0.12025008,0.14429219,0.16980629,0.19023561,0.197937,0.19084406,0.17515294,0.163632,0.16463862,0.17710392,0.19083591,0.19728373,0.19329923,0.18267643,0.16911101,0.15678705,0.14729977,0.144172,0.14942817,0.16563551,0.18945777,0.21487969,0.23323268,0.24345838,0.24811697,0.25289726,0.25617632,0.2555289,0.24860573,0.23787762,0.22513323,0.20967124,0.19079287,0.1695006,0.1504999,0.13813603,0.13601027,0.14298707,0.15327567,0.15746473,0.15083365,0.1368803,0.12459295,0.11969978,0.1206486,0.12409415,0.12880927,0.13637072,0.14518477,0.15077998,0.15035678,0.14655541,0.14492817,0.14748693,0.1504777,0.14902984,0.14167221,0.13225974,0.12548082,0.12367123,0.12532115,0.12712573,0.1280535,0.13063951,0.14079809,0.16220994,0.19270831,0.2207409,0.23204838,0.2182865,0.18609793,0.15163347,0.12959012,0.12466862,0.13141747,0.14106645,0.14397825,0.13745248,0.12471292,0.11580595,0.11596339,0.12513603,0.13610396,0.14413863,0.14517464,0.13998093,0.13034387,0.12315179,0.124391876,0.1363238,0.15236007,0.16279535,0.1614058,0.15170473,0.14287527,0.14216311,0.14839117,0.15404443,0.15363102,0.14760618,0.14181462,0.14081703,0.14804815,0.16600114,0.19668639,0.23669736,0.27464247,0.296765,0.29609558,0.28000712,0.26226893,0.25251296,0.24559891,0.23020737,0.19956827,0.16130215,0.13010277,0.118052654,0.12597662,0.14614223,0.16602795,0.1759764,0.17089957,0.1556633,0.13975798,0.13445072,0.14072369,0.15305676,0.16028063,0.15919055,0.15031618,0.14062886,0.13278073,0.12969685,0.13047099,0.13513954,0.14031494,0.14146744,0.13451378,0.120594144,0.10497999,0.09274274,0.08378035,0.0755148,0.06667211,0.061434273,0.06432558,0.07681608,0.09331281,0.106758,0.11203291,0.11020709,0.105241604,0.10087971,0.09780098,0.09444139,0.09015414,0.086390026,0.085778005,0.0890748,0.09367335,0.09579417,0.09309936,0.08742741,0.08242521,0.081810094,0.086196415,0.09409728,0.10112244,0.104194246,0.10282742,0.10329977,0.11034838,0.124833435,0.13757618,0.14186925,0.13482681,0.12346611,0.11406448,0.11176849,0.1160765,0.12439614,0.13196339,0.13488728,0.13196707,0.12627755,0.12200987,0.12193686,0.12502022,0.13064997,0.1393172,0.15264632,0.17060949,0.19346018,0.22210431,0.2531568,0.2740595,0.26951924,0.23597719,0.18765165,0.14333926,0.112504296,0.09270335,0.08160322,0.07963047,0.086812794,0.095954746,0.09944213,0.09559048,0.09184221,0.09502819,0.10411957,0.10926614,0.10321093,0.08928842,0.07976931,0.08216897,0.09229126,0.09807885,0.09332014,0.08034475,0.06692664,0.05701633,0.05265064,0.05396207,0.061272223,0.071139835,0.07811601,0.07776716,0.07044353,0.06071809,0.054077625,0.054532837,0.062345993,0.07390151,0.082055904,0.08076927,0.06950117,0.05460201,0.044574115,0.04325639,0.047952455,0.052457433,0.053698454,0.053112518,0.05511089,0.061904084,0.07197076,0.080056176,0.08114684,0.072955355,0.058447924,0.043815866,0.03675211,0.042811666,0.06304591,0.09276948,0.123188026,0.14691532,0.15978467,0.16066565,0.14853458,0.12514915,0.09744394,0.07557016,0.065491766,0.064446956,0.06547385,0.0661379,0.071890295,0.089615054,0.117901795,0.14462613,0.15574771,0.14651622,0.12583567,0.10824589,0.10433081,0.11489203,0.13429609,0.15572478,0.17398293,0.18519203,0.1845069,0.1693117,0.14232336,0.11372351,0.096167594,0.09700173,0.11691927,0.15041329,0.19196664,0.2318203,0.25876042,0.26268747,0.2447928,0.21676047,0.1925599,0.18005478,0.17915457,0.18539818,0.19261931,0.19368167,0.18447655,0.16297406,0.1333889,0.102363765,0.080716856,0.07597514,0.088117234,0.1073967,0.11949723,0.118221015,0.10954782,0.11036665,0.13102548,0.16667654,0.19628502,0.2019943,0.1824798,0.1559077,0.14092876,0.14223488,0.14764519,0.1445316,0.13181657,0.11817464,0.11119873,0.10892027,0.107723266,0.1052163,0.10617543,0.114355884,0.13420771,0.16518174,0.20163296,0.23186505,0.24374197,0.23504512,0.21355508,0.19395109,0.18342231,0.18296207,0.18819036,0.20079666,0.22073549,0.24356462,0.25432205,0.2419553,0.20596087,0.16060895,0.12301093,0.10714528,0.11447569,0.1372755,0.15810394,0.16684742,0.1620058,0.15543455,0.15420355,0.15951021,0.16430996,0.1642216,0.15776336,0.14565352,0.12877785,0.109466426,0.09100277,0.075926326,0.0633753,0.05267098,0.04410632,0.04124081,0.04656964,0.060466986,0.07916987,0.09661445,0.108116336,0.112223536,0.11154341,0.10775146,0.10180969,0.092645116,0.08104724,0.06807793,0.056544874,0.049164817,0.047717493,0.05323006,0.06786104,0.10054994,0.15662952,0.2305541,0.2984574,0.3432156,0.3665739,0.3856093,0.40291548,0.39903465,0.35594177,0.2793302,0.19818288,0.1366257,0.10250341,0.089158006,0.088004805,0.09279152,0.10028145,0.11098095,0.12482967,0.14069371,0.15377444,0.16165303,0.16211243,0.15486991,0.14004773,0.12143386,0.104209036,0.09183743,0.08539345,0.086702704,0.0989424,0.1234343,0.15403293,0.17886132,0.18543874,0.16974439,0.13911656,0.108318806,0.09190404,0.09460666,0.11187938,0.13028668,0.14003728,0.13826118,0.13319145,0.1321942,0.13568528,0.13555211,0.12548673,0.107524954,0.09032162,0.080369055,0.078171276,0.078784674,0.07909569,0.07747924,0.076231144,0.075934,0.077853315,0.079173945,0.07757338,0.0704036,0.061017673,0.054168433,0.053748813,0.057264984,0.060239766,0.060502443,0.05996035,0.064089835,0.0778352,0.10793918,0.15259278,0.20178263,0.2337138,0.23902781,0.22655046,0.22351067,0.24289256,0.2766098,0.30202055,0.31485334,0.3238691,0.3392695,0.34745857,0.33588925,0.30248597,0.26739115,0.24120824,0.2242709,0.20509225,0.18211694,0.15780535,0.13951284,0.12804109,0.12326986,0.12017193,0.11750501,0.114558965,0.114506125,0.116427846,0.118257105,0.117812395,0.11777673,0.123402715,0.13662548,0.15577848,0.17332469,0.18294822,0.17715561,0.15569013,0.122835726,0.0899409,0.06637682,0.05821008,0.06442225,0.081286274,0.10212777,0.12269024,0.13843082,0.14763951,0.14801884,0.14107506,0.12916698,0.1157768,0.103399694,0.09645317,0.1012966,0.12256968,0.1562851,0.18963325,0.20832925,0.20779939,0.19621061,0.1863056,0.18490835,0.18865292,0.19027406,0.1860416,0.17690961,0.16715313,0.15993303,0.15945287,0.16726942,0.1818645,0.19541638,0.19926496,0.18856429,0.16678745,0.14137362,0.11958527,0.103865184,0.09630421,0.09987611,0.1178237,0.14490694,0.16837572,0.17651777,0.17295544,0.17238452,0.1881051,0.21499574,0.23612945,0.23331791,0.20382369,0.15818109,0.11567672,0.09143784,0.09222716,0.1144068,0.14964998,0.18762974,0.2197585,0.23967052,0.24667884,0.24532038,0.24192709,0.23930985,0.23472108,0.22394015,0.20459133,0.17865664,0.15116163,0.12960304,0.119872384,0.1233876,0.13333084,0.14046197,0.1364734,0.12212744,0.103186555,0.089932404,0.08963253,0.10553676,0.13539605,0.17202516,0.2071928,0.23105006,0.23911731,0.23033,0.2129925,0.19703527,0.19475865,0.21026976,0.23881769,0.26364872,0.26791337,0.24688603,0.21170896,0.17938687,0.15779002,0.1461284,0.14077209,0.14277142,0.15309305,0.17082979,0.19042431,0.20519525,0.2072025,0.19335972,0.16827016,0.14519459,0.13739271,0.14905727,0.17236543,0.19234586,0.19805074,0.1878655,0.17011231,0.15351157,0.14173979,0.13123082,0.1183821,0.103609525,0.095020235,0.101760365,0.13288373,0.1832618,0.2417322,0.28378594,0.29946825,0.28326008,0.25216994,0.2177941,0.19684921,0.18967997,0.19445731,0.1989308,0.19754303,0.18937592,0.18127263,0.17624867,0.17288013,0.16916358,0.17064808,0.18623798,0.2188619,0.25946346,0.2962673,0.3234023,0.34284282,0.35612503,0.36188734,0.35864362,0.3483143,0.33379567,0.3168304,0.2970601,0.2747651,0.24865155,0.21969302,0.19211823,0.17724107,0.18215702,0.20238578,0.22021113,0.22250594,0.21170335,0.204664,0.21389449,0.23966838,0.27070102,0.29698837,0.31052423,0.3072795,0.28539923,0.25167784,0.22150506,0.21358854,0.24062796,0.30214477,0.38386586,0.46220914,0.51424164,0.5297383,0.5143739,0.48596612,0.46027005,0.4436845,0.43033662,0.40986946,0.37727907,0.33732727,0.30154753,0.27671385,0.2614056,0.2499472,0.24149583,0.24120043,0.2526344,0.2705606,0.28319016,0.27914202,0.26013967,0.23646201,0.2260883,0.2338578,0.25560597,0.27420506,0.2840394,0.28709593,0.29636824,0.31041324,0.32020983,0.30931136,0.277787,0.23423713,0.19458026,0.16868825,0.16293263,0.17644936,0.19833522,0.21191806,0.20553716,0.18371612,0.16112775,0.14838861,0.14426404,0.14022504,0.13479729,0.13442717,0.1491654,0.17936754,0.2166516,0.24764228,0.26520145,0.26912916,0.26538667,0.25706616,0.24612916,0.23180927,0.21799463,0.20653982,0.19959737,0.1946884,0.1925144,0.19374728,0.20077182,0.21174268,0.22413658,0.23420328,0.24065502,0.24180068,0.23687817,0.22477229,0.20834418,0.19370043,0.19028795,0.20159918,0.22273117,0.23949413,0.24144472,0.22777368,0.20975219,0.19836998,0.19782202,0.20149474,0.20131625,0.19266094,0.18234539,0.18335094,0.20753281,0.24748378,0.278406,0.27308702,0.23009998,0.17119743,0.12410129,0.0975303,0.08748273,0.08512201,0.088059165,0.09317765,0.099823184,0.10784643,0.11922976,0.13268936,0.14320265,0.14871275,0.14967139,0.15066147,0.15042485,0.14856195,0.14347188,0.1395797,0.14016724,0.14900418,0.16641669,0.19067733,0.21455735,0.22660707,0.21677743,0.18442617,0.14066875,0.10113782,0.076400794,0.06788829,0.07098242,0.08075354,0.09351328,0.106922604,0.11819416,0.12582205,0.13150615,0.13997789,0.15558839,0.1751071,0.18983461,0.19041665,0.17773925,0.16021627,0.14761005,0.1423742,0.1409206,0.14001897,0.1386814,0.13838817,0.1387952,0.13969506,0.13965051,0.13679443,0.12988617,0.12179177,0.11985182,0.13078472,0.15382111,0.18089832,0.19920331,0.20043434,0.1826592,0.15464997,0.12785184,0.11208936,0.10869074,0.1144315,0.12374254,0.13190587,0.13565306,0.13519473,0.13609453,0.14389972,0.16112977,0.18109107,0.19713943,0.20170735,0.19485398,0.1771665,0.1568637,0.14376193,0.14631206,0.16143394,0.17558502,0.17772806,0.16846512,0.16175546,0.16986807,0.19426395,0.2213261,0.23458661,0.22654706,0.2058,0.18617757,0.17488128,0.1671844,0.15722443,0.1454245,0.1388702,0.1414905,0.15221554,0.16597372,0.18246217,0.20016144,0.21814133,0.22891921,0.23405518,0.23763293,0.24764727,0.25854066,0.26150724,0.25283942,0.24387097,0.2536317,0.29068902,0.34780684,0.39956728,0.4255447,0.41774607,0.38829848,0.35185766,0.31822053,0.290246,0.26826808,0.25372812,0.24423228,0.23746246,0.2292604,0.21858948,0.2051302,0.1908757,0.1779554,0.16651024,0.15557258,0.14449508,0.13654673,0.1355717,0.14357083,0.15831052,0.17510974,0.19005477,0.1988842,0.199111,0.18869597,0.17206275,0.15632112,0.14796716,0.14569598,0.14429773,0.14126246,0.14052966,0.14699167,0.16058445,0.17528331,0.18526818,0.1884193,0.18706982,0.1847763,0.18420905,0.1867833,0.19194995,0.1985683,0.20439868,0.20920666,0.21375501,0.21851988,0.21954651,0.21124972,0.19231014,0.16959433,0.15163745,0.14195156,0.13734208,0.1376198,0.1454749,0.16516586,0.19076546,0.21352118,0.2229678,0.21930762,0.20539398,0.19011001,0.17866917,0.1781004,0.18801357,0.20428884,0.21594797,0.21827538,0.21614559,0.22197865,0.24447449,0.2782661,0.31143543,0.3281881,0.3238366,0.2981563,0.26233184,0.22537498,0.19738425,0.17919624,0.17129104,0.169798,0.17308782,0.17605019,0.17661346,0.17489189,0.17673118,0.18567751,0.20096421,0.21657725,0.22994637,0.24239969,0.25610185,0.2678152,0.27204898,0.2681143,0.25997803,0.25188592,0.24294321,0.23230946,0.22220509,0.21584933,0.21272527,0.20630385,0.19273806,0.17294525,0.15680821,0.15172064,0.16191538,0.1797858,0.1975453,0.20614298,0.20629407,0.19818056,0.18503778,0.16667086,0.1480036,0.13467549,0.13236661,0.13898955,0.14833832,0.15348367,0.15444358,0.15477978,0.15977429,0.16978575,0.1836164,0.19795193,0.21255712,0.2267891,0.24083431,0.25037944,0.25179675,0.242918,0.2288471,0.21469033,0.20325725,0.19199382,0.18063201,0.17228258,0.17303008,0.18638563,0.21197857,0.24408881,0.27271962,0.28797004,0.28625187,0.2735161,0.260018,0.25310603,0.25167748,0.24862273,0.23597921,0.21177411,0.18129413,0.1535743,0.13550222,0.12769622,0.12771519,0.13212918,0.14208923,0.16005652,0.18956035,0.22731446,0.26307157,0.28172716,0.27554393,0.2512124,0.229387,0.22909726,0.25680935,0.29594782,0.32333398,0.31815374,0.2852691,0.2409677,0.20785679,0.19048359,0.1824957,0.17276977,0.16060399,0.15840615,0.17578168,0.21099813,0.24236818,0.2529247,0.23580955,0.20261444,0.16437024,0.13152963,0.10837772,0.09866869,0.101321846,0.11234818,0.12567474,0.13714214,0.14634188,0.15552843,0.16476035,0.1697496,0.16344516,0.14471582,0.11833971,0.09271189,0.07282767,0.06054586,0.056269202,0.058344264,0.06413882,0.0689638,0.070418246,0.06729575,0.061653834,0.056939248,0.056273416,0.059400123,0.062134434,0.062088177,0.060408503,0.06081906,0.063582756,0.06629327,0.067640044,0.06823046,0.068922505,0.06774634,0.064912,0.0628814,0.065709405,0.07295352,0.08130444,0.08746531,0.091469795,0.095442854,0.10114977,0.10887485,0.11709147,0.12315309,0.124156125,0.1184825,0.10782314,0.09539205,0.08575276,0.0838972,0.09889712,0.13672662,0.1910118,0.23803978,0.25377163,0.23373874,0.19690883,0.16567755,0.14894752,0.14061688,0.13424437,0.12830724,0.12871802,0.1414489,0.16898894,0.20231266,0.22355042,0.21896116,0.19044614,0.15566494,0.13193505,0.1282651,0.14013183,0.15776744,0.16777878,0.16455549,0.14912774,0.13107494,0.11817836,0.11464057,0.119549714,0.12829717,0.13709581,0.14062105,0.13825975,0.12849809,0.116023816,0.10484596,0.10131034,0.10578551,0.11675186,0.13084616,0.14752473,0.16373093,0.17311896,0.16676737,0.14451893,0.116040885,0.09792576,0.09726244,0.10997287,0.12359174,0.13331713,0.14073819,0.14818752,0.14937018,0.13676324,0.11150765,0.0850048,0.06993305,0.06981326,0.08070714,0.09487758,0.10899219,0.12143702,0.13243312,0.13753416,0.13194098,0.11417084,0.092754,0.08178177,0.090711854,0.115583695,0.14081915,0.15154849,0.14394738,0.12591216,0.10814822,0.09624744,0.09051153,0.09021551,0.09529507,0.104309596,0.1134259,0.12229186,0.13817717,0.17122358,0.22077109,0.26903296,0.29344174,0.28473857,0.25437322,0.22248624,0.20329487,0.19892097,0.20309025,0.20835929,0.20999609,0.20636803,0.19589579,0.17699586,0.15084635,0.1246546,0.1063137,0.101044536,0.10691163,0.122785926,0.14551277,0.17112362,0.18934478,0.19110931,0.17508282,0.14903234,0.12517376,0.10960856,0.10283039,0.099676676,0.09708369,0.09342217,0.08951229,0.08508133,0.07974174,0.072589666,0.06365385,0.053710967,0.045012344,0.040799797,0.04407358,0.055590034,0.07251761,0.08841088,0.09639301,0.09347836,0.08315869,0.072537266,0.06632602,0.06483839,0.065541446,0.0676178,0.06996078,0.07098834,0.06708904,0.058321234,0.047095846,0.038036365,0.031903405,0.028206244,0.025241494,0.024080655,0.025436537,0.030053833,0.036820095,0.044760514,0.052160878,0.057234574,0.058697116,0.05717134,0.054642577,0.052571446,0.051549822,0.053027246,0.060312282,0.07510927,0.09377298,0.10768021,0.110914566,0.10541316,0.09950528,0.09909898,0.103478976,0.10679224,0.104774386,0.09631317,0.083608866,0.06880788,0.054513026,0.043677587,0.040342618,0.04779303,0.063943006,0.081393875,0.09050569,0.08821923,0.077557534,0.06568108,0.05843552,0.06185616,0.07877131,0.10652778,0.13619037,0.15980528,0.17475122,0.18016724,0.17351289,0.15159167,0.119212955,0.0866567,0.0641643,0.05327475,0.050137192,0.050286394,0.052308653,0.05613337,0.061614286,0.06929729,0.0825867,0.104193054,0.1332987,0.16167624,0.18043323,0.18311185,0.1704135,0.14726299,0.122537516,0.10468929,0.09891949,0.10348431,0.112976514,0.12197829,0.12939401,0.13682143,0.14483784,0.15188299,0.15475397,0.15436924,0.15199918,0.14879872,0.14086168,0.12866509,0.118483014,0.12377477,0.14787762,0.17988998,0.19623566,0.1854619,0.15500918,0.12652674,0.112708874,0.111223035,0.110833526,0.10384584,0.089579485,0.07167018,0.054473538,0.04129766,0.0326938,0.028022958,0.026070818,0.027898818,0.03551894,0.05236267,0.08048198,0.11564326,0.14591542,0.15525036,0.1407343,0.11555355,0.104881324,0.12024086,0.15372811,0.18084504,0.18385552,0.16008662,0.12249967,0.086080946,0.061185118,0.05036616,0.05348736,0.06801086,0.09062579,0.11333346,0.12831004,0.129453,0.11816355,0.098992854,0.07925439,0.06490531,0.061828714,0.06992353,0.083690174,0.093019985,0.09505814,0.09394392,0.097708434,0.10558555,0.111914285,0.1113696,0.108149804,0.10722349,0.110462636,0.11202245,0.11004126,0.10761405,0.112261824,0.12486491,0.13841389,0.1429774,0.13409178,0.11582563,0.09682825,0.08412891,0.08119293,0.08668363,0.09912617,0.11395887,0.12729655,0.13358174,0.1344629,0.13479751,0.14156948,0.15272059,0.16237794,0.16361351,0.15615886,0.14153846,0.12258816,0.10171496,0.083389826,0.07181073,0.06908167,0.073430546,0.08143512,0.08900914,0.09418797,0.0957152,0.094551794,0.09023272,0.08375358,0.07590083,0.07307285,0.082585685,0.11204896,0.15634383,0.20039648,0.22165333,0.21262251,0.18260951,0.1545826,0.14065874,0.13839082,0.13508783,0.12590666,0.116616875,0.1178723,0.13207723,0.15146005,0.16310298,0.16144143,0.14933595,0.13588774,0.12695275,0.12625615,0.13472356,0.15147637,0.16961788,0.17891224,0.17255431,0.15374647,0.13178001,0.11520698,0.10532416,0.100472964,0.09769633,0.09764189,0.10049296,0.108084925,0.120480895,0.13927507,0.16324049,0.18938057,0.21001981,0.21877791,0.21236221,0.19393297,0.16909532,0.14435232,0.12491936,0.11590833,0.12012085,0.13717528,0.15932113,0.17774643,0.18471049,0.1833548,0.17929117,0.17893273,0.17933357,0.1757682,0.16485222,0.15092637,0.14173652,0.14114408,0.14589967,0.1464866,0.13860227,0.12421316,0.11256691,0.10849657,0.11251551,0.11973896,0.12719105,0.13462365,0.14401601,0.15672718,0.17010053,0.18017723,0.18275881,0.17907853,0.17393704,0.17523693,0.1880771,0.21055083,0.23396587,0.24801211,0.25135657,0.25077286,0.25571346,0.2665979,0.27636233,0.27499068,0.2590021,0.23080812,0.19900052,0.17177486,0.15639347,0.15517938,0.16719997,0.18838705,0.21274292,0.2365274,0.25706154,0.27506655,0.28584778,0.2856758,0.27074504,0.2484289,0.22562397,0.20833959,0.19233227,0.17585844,0.15991928,0.15186192,0.15539412,0.16848065,0.18419345,0.19632764,0.20238657,0.20242369,0.19723208,0.18881585,0.18051188,0.17659132,0.18053646,0.19748962,0.23630726,0.30417076,0.3940854,0.4790655,0.52488345,0.51426417,0.45847198,0.3882328,0.33238953,0.30220592,0.29245293,0.2886112,0.28283975,0.27231982,0.26020622,0.24346781,0.22056048,0.19102871,0.16297239,0.14460364,0.14253895,0.15471049,0.17317502,0.18772079,0.19437289,0.19658124,0.19821055,0.20014739,0.2018504,0.21056406,0.23133254,0.2606144,0.28025213,0.27892768,0.25750586,0.23113729,0.20966737,0.19897473,0.19777201,0.20418294,0.2118362,0.21438994,0.21311815,0.21416348,0.2266254,0.24445097,0.25592455,0.2441883,0.21016304,0.16549289,0.12818061,0.10414186,0.08913094,0.077878825,0.07053575,0.06946278,0.07053243,0.067354925,0.058261734,0.049792733,0.04853003,0.05429897,0.06116919,0.06378977,0.061063867,0.05454461,0.047432642,0.04334705,0.04562478,0.053739715,0.06429742,0.0742627,0.08346093,0.092159845,0.09720426,0.0946812,0.08353108,0.068623684,0.05688867,0.05439161,0.06361049,0.081445046,0.10046453,0.112049215,0.11364475,0.108116515,0.10057444,0.09303609,0.08585334,0.08099293,0.0829914,0.097269,0.12518449,0.16398121,0.20469427,0.23642893,0.24733204,0.23412184,0.20447208,0.17421485,0.15445767,0.14488989,0.13991563,0.13710155,0.13847928,0.14445733,0.15069349,0.15420057,0.15384899,0.1522873,0.14847142,0.14196987,0.13100092,0.11813325,0.10640886,0.10061265,0.10132843,0.106477164,0.11055401,0.11287796,0.11505986,0.12074989,0.1262183,0.12585525,0.11422652,0.09458899,0.07426462,0.062084407,0.060103018,0.064637676,0.06778148,0.06710228,0.06512121,0.06792202,0.07469094,0.080886245,0.08131742,0.07964303,0.08235816,0.09325456,0.107152395,0.11762167,0.124830425,0.13481046,0.15144835,0.167343,0.17137973,0.1560672,0.1267097,0.09565612,0.077770285,0.08202103,0.10714304,0.13959338,0.16053806,0.1581264,0.13613044,0.10902599,0.08992835,0.081715405,0.08033422,0.08245563,0.08822215,0.097492255,0.10547427,0.10598832,0.09676543,0.082326286,0.07011384,0.066516586,0.07475856,0.09471515,0.1210474,0.14491309,0.15747882,0.15750743,0.15018283,0.14416736,0.14345302,0.1475221,0.15238836,0.1556438,0.15696049,0.15722094,0.15645407,0.15362918,0.14854755,0.14246982,0.13786596,0.13666867,0.13910532,0.14434709,0.15013085,0.15489973,0.15562202,0.14973171,0.13391683,0.108689316,0.07795159,0.04883574,0.02674392,0.013485756,0.0072554457,0.0053523025]