GET /api/ishell_4517nm_5239nm_vstar_v1121_oph/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.517097117894658,
        4.517117145846554,
        4.5171376506544485,
        4.517157678606345,
        4.5171777065582415,
        4.517197734510138,
        4.517217762462034,
        4.517237790413931,
        4.517257818365827,
        4.517277846317724,
        4.51729787426962,
        4.517317902221517,
        4.517337930173413,
        4.51735795812531,
        4.517377986077206,
        4.517398014029103,
        4.517418041980999,
        4.517438546788894,
        4.51745857474079,
        4.5174786026926865,
        4.517498630644583,
        4.5175186585964795,
        4.5175386865483755,
        4.5175587145002725,
        4.5175787424521685,
        4.517779021971134,
        4.51779904992303,
        4.517819077874927,
        4.517839105826823,
        4.51785913377872,
        4.517879161730616,
        4.517899189682513,
        4.517919217634409,
        4.517939245586306,
        4.517959273538202,
        4.517978824634101,
        4.517998852585998,
        4.518877698189455,
        4.518897726141352,
        4.518917754093248,
        4.518937305189148,
        4.518957333141044,
        4.518977361092941,
        4.518997389044837,
        4.519017416996734,
        4.5190369680926326,
        4.519056996044529,
        4.5190770239964255,
        4.519097051948322,
        4.519116603044221,
        4.519136630996117,
        4.519156658948014,
        4.51917668689991,
        4.51919623799581,
        4.519216265947706,
        4.519236293899603,
        4.519355507898986,
        4.519375535850883,
        4.519395563802779,
        4.519415591754676,
        4.519435142850575,
        4.5194551708024715,
        4.5194751987543675,
        4.519494749850266,
        4.519514777802163,
        4.519534805754059,
        4.519554356849959,
        4.519574384801855,
        4.519594412753752,
        4.519614440705648,
        4.519633991801547,
        4.519654019753443,
        4.51967404770534,
        4.519693598801239,
        4.519713626753135,
        4.519753205800931,
        4.519773233752828,
        4.519793261704724,
        4.519812812800622,
        4.519832840752519,
        4.519852391848418,
        4.520744589419807,
        4.520764617371704,
        4.5207841684676024,
        4.520804196419499,
        4.520823747515398,
        4.520843298611297,
        4.520863326563194,
        4.520882877659092,
        4.520902905610989,
        4.520942484658784,
        4.521001614802479,
        4.521021642754375,
        4.521041193850274,
        4.521061221802171,
        4.5210807728980695,
        4.521100323993968,
        4.521120351945865,
        4.521139903041764,
        4.521159930993661,
        4.521179482089559,
        4.521199510041456,
        4.521219061137355,
        4.521238612233254,
        4.521258640185151,
        4.521278191281049,
        4.521298219232946,
        4.521317770328845,
        4.521337321424744,
        4.521357349376641,
        4.521376900472539,
        4.521396928424435,
        4.521416479520335,
        4.521436030616234,
        4.5214560585681305,
        4.521475609664029,
        4.521495637615925,
        4.521515188711825,
        4.5215347398077235,
        4.5215547677596195,
        4.521574318855519,
        4.521593869951418,
        4.521613897903315,
        4.521633448999213,
        4.521653000095112,
        4.521673028047009,
        4.521692579142908,
        4.521712130238806,
        4.521732158190703,
        4.521751709286602,
        4.522656781969925,
        4.5226763330658235,
        4.522695884161722,
        4.522715435257622,
        4.5227349863535204,
        4.522754537449419,
        4.522774565401316,
        4.522794116497215,
        4.522813667593113,
        4.522833218689013,
        4.522852769784912,
        4.52287232088081,
        4.522892348832707,
        4.522911899928606,
        4.522931451024505,
        4.522951002120404,
        4.522970553216303,
        4.522990104312202,
        4.523009655408101,
        4.523029206504,
        4.523049234455896,
        4.5230687855517955,
        4.523088336647694,
        4.523107887743593,
        4.523127438839492,
        4.523146989935391,
        4.52316654103129,
        4.5231860921271885,
        4.523205643223088,
        4.523225194318987,
        4.523244745414885,
        4.523264773366782,
        4.523284324462681,
        4.523303875558581,
        4.523323426654479,
        4.523342977750378,
        4.523362528846277,
        4.523382079942176,
        4.523401631038075,
        4.523421182133974,
        4.523440733229873,
        4.523460284325772,
        4.5234798354216705,
        4.52349938651757,
        4.523518937613469,
        4.5235384887093675,
        4.523558039805266,
        4.523577590901166,
        4.523597141997064,
        4.523616693092963,
        4.523636244188863,
        4.523655795284761,
        4.52367534638066,
        4.52369489747656,
        4.523714448572458,
        4.524495538696422,
        4.52451508979232,
        4.524534640888219,
        4.52455371512812,
        4.52457326622402,
        4.524592817319919,
        4.524612368415817,
        4.524631919511717,
        4.5246514706076155,
        4.524671021703514,
        4.5246900959434155,
        4.524709647039315,
        4.524729198135214,
        4.5247487492311125,
        4.524768300327012,
        4.524787851422911,
        4.524806925662812,
        4.524826476758711,
        4.52484602785461,
        4.524865578950509,
        4.524885130046408,
        4.524904204286309,
        4.524923755382209,
        4.524943306478107,
        4.524962857574006,
        4.5249824086699055,
        4.525001482909807,
        4.5250210340057055,
        4.525040585101604,
        4.525060136197504,
        4.525079210437405,
        4.525098761533304,
        4.5251183126292025,
        4.525137863725102,
        4.525157414821001,
        4.525176489060902,
        4.525196040156801,
        4.5252155912527,
        4.525235142348599,
        4.5252542165885,
        4.525273767684399,
        4.525293318780299,
        4.525312869876197,
        4.525331944116099,
        4.525351495211997,
        4.525371046307897,
        4.525390120547798,
        4.525409671643697,
        4.525429222739596,
        4.525448773835495,
        4.5254678480753965,
        4.525487399171295,
        4.525506950267194,
        4.525526024507095,
        4.525545575602995,
        4.525565126698893,
        4.525584200938795,
        4.525603752034694,
        4.525623303130593,
        4.525642854226492,
        4.525661928466393,
        4.526475444798189,
        4.52649451903809,
        4.526514070133989,
        4.52653314437389,
        4.52655269546979,
        4.526571769709691,
        4.52659132080559,
        4.526610395045491,
        4.52662994614139,
        4.526649020381292,
        4.526668571477191,
        4.526687645717092,
        4.526707196812991,
        4.526726271052892,
        4.526745822148792,
        4.526764896388693,
        4.526784447484592,
        4.526803521724493,
        4.526823072820392,
        4.526842147060294,
        4.526861698156193,
        4.526880772396094,
        4.526900323491993,
        4.526919397731894,
        4.526938948827794,
        4.526958023067695,
        4.526977574163594,
        4.526996648403495,
        4.527015722643396,
        4.527035273739296,
        4.527054347979197,
        4.527073899075096,
        4.527092973314997,
        4.527112524410896,
        4.527131598650798,
        4.527151149746697,
        4.527170223986598,
        4.527189298226499,
        4.527208849322398,
        4.527227923562299,
        4.527247474658199,
        4.5272665488981,
        4.527285623138002,
        4.5273051742339,
        4.527324248473802,
        4.527343799569701,
        4.527362873809603,
        4.527381948049504,
        4.527401499145403,
        4.527420573385304,
        4.5274401244812035,
        4.527459198721105,
        4.527478272961006,
        4.527497824056905,
        4.527516898296806,
        4.5275359725367075,
        4.527555523632607,
        4.527574597872508,
        4.528323738644636,
        4.528343289740535,
        4.5283623639804365,
        4.528381438220338,
        4.52840051246024,
        4.528420063556139,
        4.52843913779604,
        4.528458212035941,
        4.528477286275843,
        4.528496360515744,
        4.528515911611644,
        4.528534985851545,
        4.528554060091446,
        4.528573134331348,
        4.528592208571249,
        4.528611759667148,
        4.528630833907049,
        4.528649908146951,
        4.5286689823868524,
        4.528688056626754,
        4.528707130866655,
        4.528726681962554,
        4.528745756202455,
        4.5287648304423564,
        4.528783904682258,
        4.52880297892216,
        4.528822053162061,
        4.528841127401963,
        4.528860678497861,
        4.528879752737763,
        4.528898826977664,
        4.528917901217565,
        4.528936975457467,
        4.528956049697369,
        4.52897512393727,
        4.5289941981771715,
        4.52901374927307,
        4.5290328235129715,
        4.529051897752873,
        4.529070971992774,
        4.529090046232676,
        4.529109120472578,
        4.529128194712479,
        4.52914726895238,
        4.529166343192282,
        4.529185417432183,
        4.529204968528082,
        4.529224042767983,
        4.529243117007885,
        4.529262191247787,
        4.529281265487688,
        4.529300339727589,
        4.529319413967491,
        4.529338488207392,
        4.529357562447293,
        4.529376636687195,
        4.529395710927096,
        4.529414785166997,
        4.5294338594068995,
        4.529452933646801,
        4.529472007886702,
        4.5294910821266035,
        4.530310797586367,
        4.530329871826268,
        4.530348469210172,
        4.530367543450073,
        4.530386617689975,
        4.530405691929876,
        4.530424766169778,
        4.53044384040968,
        4.530462914649581,
        4.530481988889482,
        4.530500586273386,
        4.530519660513288,
        4.530538734753189,
        4.53055780899309,
        4.530576883232992,
        4.530595957472893,
        4.530615031712794,
        4.530633629096698,
        4.5306527033365995,
        4.530671777576501,
        4.530690851816403,
        4.530709926056304,
        4.530729000296206,
        4.53074759768011,
        4.530766671920011,
        4.530785746159912,
        4.530804820399814,
        4.530823894639715,
        4.530842492023619,
        4.53086156626352,
        4.530880640503422,
        4.530899714743323,
        4.530918788983224,
        4.530937386367128,
        4.53095646060703,
        4.530975534846931,
        4.530994609086833,
        4.5310136833267345,
        4.5310322807106385,
        4.53105135495054,
        4.531070429190441,
        4.5310895034303424,
        4.531108100814246,
        4.531127175054148,
        4.531146249294049,
        4.53116532353395,
        4.531183920917854,
        4.531202995157756,
        4.531222069397657,
        4.531241143637558,
        4.531259741021462,
        4.531278815261364,
        4.531297889501265,
        4.531316486885169,
        4.53133556112507,
        4.5313546353649725,
        4.531373709604874,
        4.531392306988778,
        4.531411381228679,
        4.5314304554685805,
        4.5314490528524844,
        4.531468127092386,
        4.531487201332287,
        4.531506275572188,
        4.531524872956092,
        4.531543947195994,
        4.531563021435895,
        4.531581618819799,
        4.532262092328282,
        4.532280689712186,
        4.5322997639520874,
        4.532318361335991,
        4.532337435575893,
        4.532356032959797,
        4.532375107199698,
        4.532393704583602,
        4.532412778823503,
        4.532431853063405,
        4.532450450447309,
        4.53246952468721,
        4.532488122071114,
        4.532507196311015,
        4.532525793694919,
        4.532544867934821,
        4.532582539558626,
        4.53260113694253,
        4.532620211182431,
        4.532638808566335,
        4.5326578828062365,
        4.5326764801901405,
        4.532695554430042,
        4.532714151813946,
        4.532733226053847,
        4.532751823437751,
        4.532770897677652,
        4.532789495061556,
        4.532808569301458,
        4.532827166685362,
        4.532845764069266,
        4.532864838309167,
        4.532883435693071,
        4.532902509932972,
        4.532921107316876,
        4.532940181556778,
        4.5329587789406816,
        4.532977853180583,
        4.532996450564487,
        4.533015047948391,
        4.533034122188292,
        4.533052719572196,
        4.5330717938120975,
        4.533090391196001,
        4.533109465435903,
        4.533128062819807,
        4.533146660203711,
        4.533165734443612,
        4.533184331827516,
        4.533203406067417,
        4.533222003451321,
        4.533240600835225,
        4.533259675075127,
        4.533278272459031,
        4.533297346698932,
        4.533315944082836,
        4.53333454146674,
        4.533353615706641,
        4.533372213090545,
        4.5333912873304465,
        4.5334098847143505,
        4.533428482098254,
        4.533447556338156,
        4.53346615372206,
        4.533484751105963,
        4.533503825345865,
        4.533522422729768,
        4.533541020113672,
        4.533560094353573,
        4.533578691737477,
        4.534271563501897,
        4.534290637741798,
        4.534309235125702,
        4.534327832509606,
        4.5343464298935094,
        4.534365027277413,
        4.534384101517315,
        4.534402698901219,
        4.534421296285123,
        4.534439893669027,
        4.534458491052931,
        4.534477565292832,
        4.534496162676736,
        4.53451476006064,
        4.534533357444544,
        4.534551954828448,
        4.534571029068349,
        4.534589626452253,
        4.534608223836157,
        4.534626821220061,
        4.534645418603964,
        4.534664015987868,
        4.534682613371772,
        4.5347016876116735,
        4.534720284995577,
        4.534738882379481,
        4.534925333074518,
        4.534943930458422,
        4.534962527842326,
        4.5349811252262295,
        4.535000199466131,
        4.535018796850035,
        4.535037394233939,
        4.535055991617843,
        4.535074589001747,
        4.535093186385651,
        4.535111783769555,
        4.535130381153458,
        4.535148978537362,
        4.535167575921266,
        4.53518617330517,
        4.535204770689074,
        4.535223368072978,
        4.535242442312879,
        4.535261039696783,
        4.535279637080687,
        4.535298234464591,
        4.535316831848495,
        4.535335429232399,
        4.535354026616302,
        4.535372624000206,
        4.53539122138411,
        4.535409818768014,
        4.535428416151918,
        4.535447013535822,
        4.535465610919726,
        4.53548420830363,
        4.535502805687534,
        4.535521403071438,
        4.535540000455341,
        4.535558597839245,
        4.5362643447155975,
        4.5362829420995014,
        4.536301062627408,
        4.536319660011312,
        4.536338257395216,
        4.536356854779119,
        4.536375452163023,
        4.536394049546927,
        4.536412646930831,
        4.536431244314735,
        4.536449364842642,
        4.536467962226546,
        4.5364865596104496,
        4.536505156994353,
        4.536653459209586,
        4.536671579737493,
        4.536690177121397,
        4.536708774505301,
        4.536727371889205,
        4.536745969273109,
        4.536764089801014,
        4.536782687184918,
        4.536801284568822,
        4.536819881952726,
        4.536838002480633,
        4.536856599864537,
        4.536875197248441,
        4.536893794632345,
        4.536912392016248,
        4.536930512544155,
        4.5369491099280586,
        4.5369677073119625,
        4.5369863046958665,
        4.537004425223773,
        4.537023022607676,
        4.53704161999158,
        4.537060217375484,
        4.537078337903391,
        4.537096935287295,
        4.537115532671199,
        4.537134130055103,
        4.537152250583008,
        4.537170847966912,
        4.537189445350816,
        4.537207565878723,
        4.537226163262627,
        4.537244760646531,
        4.537263358030435,
        4.537281478558341,
        4.537300075942245,
        4.537318673326149,
        4.537336793854055,
        4.537355391237959,
        4.537373988621863,
        4.537392586005766,
        4.537410706533673,
        4.537429303917577,
        4.537447901301481,
        4.537466021829387,
        4.537484619213291,
        4.5375032165971945,
        4.537521337125101,
        4.537539934509005,
        4.537558531892909,
        4.537576652420816,
        4.53759524980472,
        4.537613847188623,
        4.537631967716529,
        4.538459789728251,
        4.538478387112155,
        4.538496507640061,
        4.538515105023965,
        4.5385332255518716,
        4.5385518229357755,
        4.538569943463682,
        4.538588063991588,
        4.538606661375492,
        4.5386247819033985,
        4.538643379287302,
        4.538661499815209,
        4.538680097199112,
        4.538698217727019,
        4.538716815110923,
        4.538734935638829,
        4.538753533022733,
        4.538771653550639,
        4.538790250934543,
        4.53880837146245,
        4.538826491990356,
        4.53884508937426,
        4.538863209902166,
        4.53888180728607,
        4.5388999278139766,
        4.5389185251978805,
        4.538936645725786,
        4.538954766253693,
        4.538973363637597,
        4.5389914841655035,
        4.539010081549407,
        4.539028202077313,
        4.539046799461217,
        4.539064919989124,
        4.53908304051703,
        4.5391016379009335,
        4.53911975842884,
        4.539137878956747,
        4.539156476340651,
        4.539174596868556,
        4.53919319425246,
        4.539211314780367,
        4.539229435308274,
        4.539248032692178,
        4.539266153220083,
        4.53928427374799,
        4.539302871131894,
        4.5393209916598005,
        4.5393395890437045,
        4.53935770957161,
        4.539375830099517,
        4.539394427483421,
        4.539412548011327,
        4.539430668539233,
        4.539449265923137,
        4.539467386451044,
        4.53948550697895,
        4.5395041043628535,
        4.53952222489076,
        4.539540345418667,
        4.539558942802571,
        4.539577063330476,
        4.539595183858383,
        4.53961330438629,
        4.539631901770194,
        4.539650022298099,
        4.539668142826006,
        4.540342894062519,
        4.540361014590425,
        4.540379611974329,
        4.540397732502235,
        4.540415853030142,
        4.540433973558048,
        4.540452094085954,
        4.540470214613861,
        4.5404883351417675,
        4.540506932525671,
        4.540525053053577,
        4.540543173581484,
        4.5405612941093905,
        4.540579414637296,
        4.540597535165203,
        4.540615655693109,
        4.540634253077013,
        4.540652373604919,
        4.540670494132826,
        4.540688614660732,
        4.540706735188638,
        4.540724855716545,
        4.540742976244451,
        4.540761096772357,
        4.540779694156261,
        4.540797814684168,
        4.540815935212074,
        4.54083405573998,
        4.540852176267887,
        4.540870296795793,
        4.5408884173237,
        4.540906537851606,
        4.540924658379512,
        4.540942778907419,
        4.5409608994353245,
        4.540979019963231,
        4.540997617347135,
        4.541015737875042,
        4.5410338584029475,
        4.541051978930854,
        4.541070099458761,
        4.5410882199866665,
        4.541106340514573,
        4.54112446104248,
        4.541142581570385,
        4.541160702098292,
        4.541178822626199,
        4.541196943154105,
        4.541215063682011,
        4.541233184209918,
        4.541251304737824,
        4.54126942526573,
        4.541287545793637,
        4.541305666321543,
        4.541323786849449,
        4.5413419073773555,
        4.541360027905262,
        4.541378148433169,
        4.5413962689610745,
        4.541414389488981,
        4.541432510016888,
        4.5414506305447935,
        4.5414687510727,
        4.541486871600607,
        4.541504992128512,
        4.541523112656419,
        4.541541233184326,
        4.541559353712232,
        4.541577474240138,
        4.541595594768045,
        4.541613715295951,
        4.541631835823857,
        4.541649956351764,
        4.54166807687967,
        4.541686197407576,
        4.542354749516121,
        4.542372870044027,
        4.542390513715937,
        4.542408634243842,
        4.542426754771749,
        4.542444875299656,
        4.542462995827561,
        4.542480639499471,
        4.542498760027377,
        4.542516880555283,
        4.5425350010831895,
        4.542553121611096,
        4.5425707652830045,
        4.542588885810911,
        4.542607006338818,
        4.5426251268667235,
        4.54264324739463,
        4.5426608910665385,
        4.542679011594445,
        4.542697132122352,
        4.542715252650258,
        4.542732896322167,
        4.542751016850073,
        4.542769137377979,
        4.542787257905886,
        4.542805378433792,
        4.542823022105701,
        4.542841142633607,
        4.542859263161514,
        4.542876906833422,
        4.542895027361329,
        4.5429131478892355,
        4.542931268417141,
        4.5429489120890505,
        4.542967032616957,
        4.542985153144863,
        4.5430032736727695,
        4.543020917344678,
        4.5430390378725845,
        4.543057158400491,
        4.543074802072399,
        4.543092922600306,
        4.543111043128213,
        4.543129163656118,
        4.543146807328028,
        4.543164927855934,
        4.54318304838384,
        4.543200692055749,
        4.543218812583655,
        4.543236933111562,
        4.543254576783471,
        4.543272697311377,
        4.543290817839283,
        4.5433084615111925,
        4.543326582039098,
        4.543344702567005,
        4.543362346238913,
        4.54338046676682,
        4.5433985872947265,
        4.543416230966635,
        4.5434343514945414,
        4.543452472022448,
        4.543470115694356,
        4.543488236222263,
        4.54350635675017,
        4.543524000422078,
        4.543542120949985,
        4.543559764621893,
        4.5435778851498,
        4.543596005677706,
        4.543613649349615,
        4.543631769877521,
        4.54364941354943,
        4.543667534077336,
        4.543685654605243,
        4.543703298277151,
        4.544348007585819,
        4.544401415457544,
        4.54441953598545,
        4.544437179657359,
        4.544455300185265,
        4.544472943857174,
        4.54449106438508,
        4.544508708056989,
        4.544526351728898,
        4.5445444722568045,
        4.544562115928713,
        4.5445802364566195,
        4.544597880128528,
        4.5446160006564345,
        4.544633644328344,
        4.544651764856249,
        4.544669408528159,
        4.544687052200067,
        4.544705172727974,
        4.544722816399882,
        4.544740936927789,
        4.544758580599698,
        4.544776224271606,
        4.544794344799513,
        4.544811988471421,
        4.544830108999328,
        4.544847752671236,
        4.544865873199143,
        4.544883516871052,
        4.544901160542961,
        4.544919281070867,
        4.5449369247427756,
        4.544954568414685,
        4.544972688942591,
        4.5449903326145,
        4.545008453142406,
        4.545026096814315,
        4.545043740486224,
        4.54506186101413,
        4.545079504686039,
        4.545097148357947,
        4.545115268885854,
        4.545132912557763,
        4.545150556229672,
        4.545168676757578,
        4.545186320429487,
        4.545203964101396,
        4.545222084629302,
        4.545239728301211,
        4.545257371973119,
        4.545275492501026,
        4.545293136172935,
        4.5453107798448436,
        4.54532890037275,
        4.5453465440446585,
        4.545364187716568,
        4.545382308244474,
        4.545399951916383,
        4.545417595588292,
        4.545435716116198,
        4.545453359788107,
        4.545471003460015,
        4.545488647131925,
        4.54550676765983,
        4.54552441133174,
        4.545542055003648,
        4.545560175531555,
        4.545577819203464,
        4.545595462875372,
        4.545613106547282,
        4.545631227075187,
        4.545648870747097,
        4.545666514419005,
        4.5464824150307885,
        4.546500058702697,
        4.546517702374606,
        4.5465353460465145,
        4.546552989718424,
        4.546570633390332,
        4.5465882770622414,
        4.54660592073415,
        4.546623564406059,
        4.5466412080779675,
        4.546659328605874,
        4.546676972277783,
        4.546694615949692,
        4.546712259621601,
        4.546729903293509,
        4.546747546965419,
        4.546765190637327,
        4.546782834309235,
        4.546800477981145,
        4.546818121653053,
        4.546835765324962,
        4.546853408996871,
        4.54687105266878,
        4.546888696340688,
        4.5469063400125975,
        4.546923983684506,
        4.546941627356415,
        4.546959747884322,
        4.54697739155623,
        4.546995035228139,
        4.547012678900048,
        4.547030322571957,
        4.547047966243865,
        4.547065609915775,
        4.547083253587683,
        4.547100897259592,
        4.547118540931501,
        4.54713618460341,
        4.547153828275318,
        4.547171471947228,
        4.547189115619136,
        4.547206759291045,
        4.547224402962954,
        4.547242046634863,
        4.547259690306771,
        4.5472773339786805,
        4.547294977650589,
        4.5473121444665,
        4.547329788138409,
        4.5473474318103175,
        4.547365075482227,
        4.547382719154135,
        4.547400362826044,
        4.547418006497953,
        4.547435650169862,
        4.54745329384177,
        4.54747093751368,
        4.547488581185588,
        4.547506224857497,
        4.547523868529406,
        4.547541512201315,
        4.547559155873223,
        4.547576799545133,
        4.547594443217041,
        4.547611610032953,
        4.5478228572398605,
        4.54784050091177,
        4.547858144583678,
        4.547875788255587,
        4.547893431927496,
        4.547911075599405,
        4.547928242415316,
        4.547945886087225,
        4.547963529759134,
        4.547981173431043,
        4.547998817102951,
        4.54856007661205,
        4.5485777202839595,
        4.548595363955868,
        4.548613007627777,
        4.548630174443688,
        4.548647818115597,
        4.548665461787506,
        4.548683105459415,
        4.548700272275326,
        4.548717915947235,
        4.548735559619144,
        4.548752726435055,
        4.548770370106964,
        4.548788013778872,
        4.548805657450782,
        4.548822824266693,
        4.548840467938602,
        4.54885811161051,
        4.548875278426421,
        4.5488929220983305,
        4.548910565770239,
        4.548927732586151,
        4.548945376258059,
        4.548963019929968,
        4.5489801867458795,
        4.548997830417788,
        4.549015474089697,
        4.549032640905608,
        4.549050284577517,
        4.549067928249426,
        4.549085095065338,
        4.549102738737246,
        4.549120382409155,
        4.549137549225066,
        4.549155192896975,
        4.549172836568884,
        4.549190003384795,
        4.549207647056704,
        4.549225290728613,
        4.549242457544524,
        4.549260101216433,
        4.549277268032344,
        4.549294911704253,
        4.5493125553761615,
        4.5493297221920725,
        4.549347365863982,
        4.54936500953589,
        4.549382176351802,
        4.5493998200237105,
        4.5494169868396215,
        4.549434630511531,
        4.549452274183439,
        4.549469440999351,
        4.549487084671259,
        4.549504251487171,
        4.5496964244541775,
        4.549713591270089,
        4.549731234941998,
        4.549748401757909,
        4.549766045429818,
        4.549783212245729,
        4.549800855917638,
        4.549818022733549,
        4.549835666405458,
        4.54985283322137,
        4.549870476893278,
        4.549887643709189,
        4.549905287381098,
        4.549922454197009,
        4.549940097868919,
        4.54995726468483,
        4.549974908356739,
        4.54999207517265,
        4.550009718844558,
        4.55002688566047,
        4.550044529332379,
        4.55006169614829,
        4.550079339820199,
        4.55009650663611,
        4.550114150308019,
        4.550652520729236,
        4.550669687545148,
        4.550687331217056,
        4.550704498032967,
        4.550722141704877,
        4.550739308520788,
        4.5507564753367,
        4.550774119008608,
        4.550791285824519,
        4.550808452640431,
        4.550826096312339,
        4.55084326312825,
        4.550860429944162,
        4.5508780736160706,
        4.550895240431982,
        4.5509124072478935,
        4.550930050919802,
        4.550947217735714,
        4.550964384551625,
        4.550982028223533,
        4.550999195039445,
        4.551016361855356,
        4.5510340055272644,
        4.551051172343176,
        4.551068339159087,
        4.551085982830996,
        4.551103149646908,
        4.551120316462819,
        4.551137960134728,
        4.551155126950639,
        4.55117229376655,
        4.551189460582461,
        4.55120710425437,
        4.551224271070281,
        4.551241437886193,
        4.5512590815581015,
        4.551276248374013,
        4.5512934151899245,
        4.5513105820058355,
        4.551328225677744,
        4.551345392493656,
        4.551362559309567,
        4.551379726125478,
        4.551397369797387,
        4.551414536613298,
        4.551431703429209,
        4.5516043253003176,
        4.551621968972226,
        4.551639135788137,
        4.551656302604049,
        4.55167346941996,
        4.551690636235871,
        4.55170827990778,
        4.551725446723691,
        4.551742613539602,
        4.551759780355514,
        4.551776947171425,
        4.551794590843334,
        4.551811757659245,
        4.551828924475156,
        4.551846091291067,
        4.551863258106979,
        4.55188042492289,
        4.551898068594799,
        4.551915235410711,
        4.551932402226622,
        4.551949569042533,
        4.551966735858445,
        4.551983902674356,
        4.552001069490267,
        4.552018713162176,
        4.552035879978087,
        4.552053046793998,
        4.55207021360991,
        4.552087380425821,
        4.552104547241732,
        4.552121714057643,
        4.552139357729552,
        4.552156524545463,
        4.552173691361375,
        4.552190858177286,
        4.552208024993197,
        4.552225191809108,
        4.55224235862502,
        4.552259525440931,
        4.552276692256842,
        4.552792650446175,
        4.552809817262087,
        4.552826984077998,
        4.552844150893909,
        4.552861317709821,
        4.552878484525732,
        4.552895651341643,
        4.552912818157555,
        4.552929984973466,
        4.552947151789377,
        4.552964318605288,
        4.5529814854212,
        4.552998652237111,
        4.553015819053022,
        4.553032509012936,
        4.553049675828848,
        4.553066842644759,
        4.55308400946067,
        4.553101176276582,
        4.553118343092493,
        4.553135509908404,
        4.553152676724315,
        4.553169843540227,
        4.553187010356138,
        4.553204177172049,
        4.5532213439879605,
        4.5532385108038715,
        4.553255677619783,
        4.553272844435694,
        4.5532900112516055,
        4.553306701211519,
        4.55332386802743,
        4.553341034843341,
        4.553358201659253,
        4.553529392962368,
        4.55354655977828,
        4.553563726594191,
        4.553580893410102,
        4.553597583370015,
        4.553614750185927,
        4.553631917001838,
        4.553649083817749,
        4.553666250633661,
        4.553683417449572,
        4.553700584265483,
        4.553717274225397,
        4.553734441041309,
        4.55375160785722,
        4.553768774673131,
        4.553785941489042,
        4.553803108304954,
        4.553819798264867,
        4.553836965080778,
        4.553854131896689,
        4.553871298712601,
        4.553888465528512,
        4.553905155488426,
        4.553922322304337,
        4.553939489120249,
        4.55395665593616,
        4.553973822752071,
        4.553990512711985,
        4.5540076795278965,
        4.5540248463438076,
        4.554042013159719,
        4.5540591799756305,
        4.554075869935544,
        4.554093036751455,
        4.554110203567366,
        4.554127370383277,
        4.554144060343192,
        4.554161227159103,
        4.554178393975014,
        4.554195560790925,
        4.554212250750839,
        4.55422941756675,
        4.554246584382661,
        4.554263751198572,
        4.554280441158487,
        4.554297607974398,
        4.554314774790309,
        4.55433194160622,
        4.554348631566134,
        4.554365798382046,
        4.555737713086955,
        4.557109627791864,
        4.557129655743761,
        4.557150160551656,
        4.557170188503552,
        4.557190693311446,
        4.557210721263342,
        4.557231226071236,
        4.557473945773982,
        4.557493973725879,
        4.557514478533772,
        4.557534506485669,
        4.557554534437565,
        4.557575039245459,
        4.557595067197356,
        4.55761557200525,
        4.5576355999571465,
        4.5576556279090426,
        4.557676132716937,
        4.557696160668834,
        4.55771618862073,
        4.557736693428624,
        4.55775672138052,
        4.557777226188414,
        4.5577972541403105,
        4.557817282092207,
        4.557837786900102,
        4.557857814851998,
        4.557877842803895,
        4.557898347611788,
        4.557918375563685,
        4.557938403515581,
        4.557958908323475,
        4.557978936275372,
        4.557998964227268,
        4.5580194690351625,
        4.558039496987059,
        4.5580595249389555,
        4.55808002974685,
        4.558100057698746,
        4.558120085650643,
        4.558140113602539,
        4.558160618410433,
        4.558180646362329,
        4.558200674314226,
        4.55822117912212,
        4.558241207074016,
        4.558261235025913,
        4.558281262977809,
        4.558301767785704,
        4.5583217957376,
        4.558341823689497,
        4.558361851641393,
        4.558382356449287,
        4.558402384401184,
        4.55842241235308,
        4.558442917160974,
        4.55846294511287,
        4.558482973064767,
        4.558503001016663,
        4.55852302896856,
        4.558543533776454,
        4.55856356172835,
        4.558583589680247,
        4.558603617632143,
        4.558624122440038,
        4.558644150391934,
        4.558664178343831,
        4.558684206295727,
        4.558704234247624,
        4.558724739055517,
        4.558744767007414,
        4.55876479495931,
        4.558784822911207,
        4.558804850863104,
        4.559528241411365,
        4.559548269363261,
        4.559568297315158,
        4.559588325267054,
        4.559608353218951,
        4.559628381170847,
        4.559648409122744,
        4.55966843707464,
        4.559688465026537,
        4.559708492978433,
        4.55972852093033,
        4.559748548882226,
        4.559768576834123,
        4.559788604786019,
        4.559808632737916,
        4.559828660689812,
        4.559848688641709,
        4.559868716593605,
        4.559888744545502,
        4.559908772497398,
        4.559928800449295,
        4.559948828401191,
        4.559968856353088,
        4.559988884304984,
        4.5600089122568805,
        4.5600289402087775,
        4.5600489681606735,
        4.56006899611257,
        4.5600890240644665,
        4.560109052016363,
        4.5601290799682594,
        4.560149107920156,
        4.560169135872052,
        4.560189163823949,
        4.560209191775845,
        4.560229219727742,
        4.560249247679638,
        4.560269275631535,
        4.560289303583431,
        4.560309331535328,
        4.560328882631227,
        4.560348910583123,
        4.56036893853502,
        4.560388966486916,
        4.560408994438813,
        4.560429022390709,
        4.560449050342606,
        4.560469078294502,
        4.560489106246399,
        4.560509134198296,
        4.560529162150192,
        4.5605487132460905,
        4.560568741197987,
        4.560588769149883,
        4.56060879710178,
        4.560628825053676,
        4.560648853005573,
        4.560668880957469,
        4.560688908909366,
        4.560708460005265,
        4.560728487957162,
        4.560748515909058,
        4.560768543860955,
        4.560788571812851,
        4.560808599764748,
        4.560828627716644,
        4.5608481788125435,
        4.5608682067644395,
        4.560888234716336,
        4.5609082626682325,
        4.560928290620129,
        4.560948318572025,
        4.560967869667924,
        4.560987897619821,
        4.561007925571717,
        4.561027953523614,
        4.561505763233145,
        4.561525791185041,
        4.561545819136938,
        4.561565370232836,
        4.561585398184733,
        4.561605426136629,
        4.561625454088526,
        4.561645005184425,
        4.561665033136322,
        4.561685061088218,
        4.5617046121841165,
        4.561724640136013,
        4.5617446680879095,
        4.561764219183809,
        4.561784247135705,
        4.561804275087602,
        4.561823826183501,
        4.561843854135397,
        4.561863882087294,
        4.561883433183192,
        4.561903461135089,
        4.561923489086985,
        4.561943040182885,
        4.561963068134781,
        4.561983096086678,
        4.5620026471825765,
        4.562022675134473,
        4.5620427030863695,
        4.562062254182268,
        4.562082282134165,
        4.562102310086061,
        4.562121861181961,
        4.562141889133857,
        4.5621614402297554,
        4.562181468181652,
        4.562201496133548,
        4.562221047229448,
        4.562241075181344,
        4.562260626277244,
        4.56228065422914,
        4.562300682181037,
        4.562320233276935,
        4.562340261228831,
        4.562359812324731,
        4.562379840276627,
        4.562399868228524,
        4.5624194193244225,
        4.5624394472763194,
        4.562458998372218,
        4.562479026324114,
        4.562498577420014,
        4.56251860537191,
        4.562538633323807,
        4.562558184419705,
        4.562578212371601,
        4.562597763467501,
        4.562617791419397,
        4.562637342515297,
        4.562657370467193,
        4.562676921563091,
        4.562696949514988,
        4.562716500610887,
        4.562736528562784,
        4.562756079658683,
        4.5627761076105795,
        4.562795658706478,
        4.562815686658374,
        4.562835237754274,
        4.56285526570617,
        4.5628748168020685,
        4.5628948447539655,
        4.562914395849864,
        4.562934423801761,
        4.56295397489766,
        4.562974002849557,
        4.562993553945455,
        4.563013581897351,
        4.563033132993251,
        4.563053160945147,
        4.563072712041047,
        4.563092739992943,
        4.563112291088841,
        4.563132319040738,
        4.563151870136637,
        4.563171421232536,
        4.5631914491844325,
        4.563211000280331,
        4.563605837046291,
        4.563625864998188,
        4.5636454160940865,
        4.5636654440459825,
        4.563684995141882,
        4.563704546237781,
        4.563724574189677,
        4.563744125285576,
        4.563763676381475,
        4.563783704333372,
        4.563803255429271,
        4.563822806525169,
        4.563842834477066,
        4.563862385572965,
        4.563881936668864,
        4.563901964620761,
        4.563921515716659,
        4.563941066812558,
        4.563961094764455,
        4.563980645860354,
        4.564000196956253,
        4.564020224908149,
        4.564039776004048,
        4.564059327099947,
        4.564078878195846,
        4.564098906147742,
        4.564118457243642,
        4.56413800833954,
        4.564158036291437,
        4.564177587387336,
        4.564197138483235,
        4.564216689579133,
        4.56423671753103,
        4.564256268626929,
        4.564275819722829,
        4.564295370818727,
        4.564315398770623,
        4.564334949866523,
        4.564354500962422,
        4.56437405205832,
        4.564394080010217,
        4.564413631106116,
        4.5644331822020145,
        4.564452733297914,
        4.56447276124981,
        4.56449231234571,
        4.564511863441608,
        4.564531414537507,
        4.564550965633406,
        4.564570993585303,
        4.564590544681201,
        4.564610095777101,
        4.564629646873,
        4.564649197968898,
        4.564669225920795,
        4.564688777016694,
        4.564708328112593,
        4.564727879208492,
        4.564747430304391,
        4.564767458256287,
        4.5647870093521865,
        4.564806560448085,
        4.564826111543984,
        4.5648456626398835,
        4.564865213735782,
        4.564885241687678,
        4.564904792783578,
        4.564924343879476,
        4.564943894975375,
        4.564963446071275,
        4.564982997167173,
        4.565002548263072,
        4.565022576214969,
        4.565042127310868,
        4.565061678406766,
        4.565081229502666,
        4.565100780598565,
        4.565120331694463,
        4.565139882790363,
        4.5651594338862616,
        4.565179461838158,
        4.565199012934057,
        4.565218564029956,
        4.5652381151258545,
        4.565257666221754,
        4.565277217317653,
        4.5652967684135515,
        4.565316319509451,
        4.565805573762922,
        4.565825124858821,
        4.56584467595472,
        4.565864227050619,
        4.565883778146518,
        4.565903329242417,
        4.565922880338316,
        4.565942431434215,
        4.565961982530114,
        4.565981533626013,
        4.566001084721912,
        4.566020635817811,
        4.5660401869137095,
        4.566059738009608,
        4.566079289105508,
        4.566098840201406,
        4.566118391297305,
        4.566137942393205,
        4.566157493489103,
        4.566177044585002,
        4.566196595680902,
        4.566215669920803,
        4.566235221016702,
        4.5662547721126,
        4.5662743232085,
        4.5664111808797925,
        4.566430255119694,
        4.5664498062155925,
        4.566469357311491,
        4.566488908407391,
        4.566508459503289,
        4.566528010599188,
        4.566547561695088,
        4.566567112790986,
        4.566586187030888,
        4.566605738126786,
        4.566625289222686,
        4.566644840318585,
        4.566664391414483,
        4.566683942510383,
        4.566703493606282,
        4.566722567846183,
        4.566742118942082,
        4.566761670037981,
        4.56678122113388,
        4.5668007722297785,
        4.566820323325678,
        4.566839397565579,
        4.566858948661478,
        4.566878499757377,
        4.566898050853276,
        4.566917601949175,
        4.566937153045074,
        4.566956227284975,
        4.566975778380875,
        4.566995329476773,
        4.567014880572672,
        4.567034431668571,
        4.567053505908473,
        4.567073057004372,
        4.56709260810027,
        4.567112159196169,
        4.567131233436071,
        4.56715078453197,
        4.567170335627869,
        4.567189886723768,
        4.567209437819667,
        4.567228512059568,
        4.567248063155467,
        4.567267614251366,
        4.567287165347265,
        4.567306239587166,
        4.567325790683065,
        4.567345341778965,
        4.567364416018866,
        4.567481245738262,
        4.5675198710740625,
        4.567539422169961,
        4.56755897326586,
        4.567578047505761,
        4.567597598601661,
        4.5676171496975595,
        4.567636223937461,
        4.5676557750333595,
        4.567675326129259,
        4.56769440036916,
        4.567713951465059,
        4.567733502560958,
        4.567753053656857,
        4.568043458959356,
        4.568063010055255,
        4.568082084295157,
        4.568101635391056,
        4.568121186486954,
        4.568140260726856,
        4.568159811822755,
        4.568178886062657,
        4.568198437158555,
        4.568217988254454,
        4.568237062494355,
        4.568256613590255,
        4.568275687830156,
        4.568295238926055,
        4.568314790021954,
        4.568333864261855,
        4.5683534153577545,
        4.568372489597656,
        4.5683920406935545,
        4.568411114933456,
        4.568430666029355,
        4.568449740269257,
        4.5684692913651554,
        4.568488842461054,
        4.5685079167009555,
        4.568527467796855,
        4.568546542036756,
        4.568566093132655,
        4.568585167372556,
        4.568604718468456,
        4.568623792708357,
        4.568643343804256,
        4.568662418044157,
        4.568681969140056,
        4.568701043379957,
        4.568720594475857,
        4.568739668715758,
        4.568759219811657,
        4.568778294051558,
        4.568797845147458,
        4.568816919387359,
        4.568836470483258,
        4.568855544723159,
        4.568875095819058,
        4.56889417005896,
        4.568913721154859,
        4.56893279539476,
        4.568952346490659,
        4.56897142073056,
        4.56899097182646,
        4.569010046066361,
        4.569029120306262,
        4.569048671402161,
        4.569067745642062,
        4.569087296737962,
        4.569106370977863,
        4.569125922073762,
        4.569144996313663,
        4.569164547409562,
        4.569183621649463,
        4.5692026958893655,
        4.569222246985264,
        4.5692413212251655,
        4.569260872321064,
        4.5692799465609655,
        4.569299020800867,
        4.569318571896766,
        4.569337646136668,
        4.569357197232566,
        4.569376271472468,
        4.569395345712369,
        4.569414896808269,
        4.56943397104817,
        4.569453522144069,
        4.56947259638397,
        4.569491670623871,
        4.569530295959672,
        4.5695493701995735,
        4.569568921295472,
        4.5695879955353735,
        4.569607069775275,
        4.569626620871174,
        4.569645695111076,
        4.5696652462069745,
        4.569684320446876,
        4.569703394686777,
        4.569722945782677,
        4.569742020022578,
        4.569761094262479,
        4.569780645358378,
        4.569799719598279,
        4.569818793838181,
        4.569837868078082,
        4.569857419173982,
        4.569876493413883,
        4.569895567653784,
        4.569915118749683,
        4.569934192989584,
        4.569953267229486,
        4.569972818325385,
        4.5699918925652865,
        4.570010966805188,
        4.570030041045089,
        4.570049592140988,
        4.570298987827699,
        4.5703180620676,
        4.5703376131635,
        4.570356687403401,
        4.5703757616433025,
        4.570394835883204,
        4.570413910123105,
        4.570433461219004,
        4.570452535458906,
        4.570471609698807,
        4.570490683938709,
        4.57050975817861,
        4.570529309274509,
        4.57054838351441,
        4.570567457754311,
        4.570586531994213,
        4.570605606234115,
        4.570625157330014,
        4.570644231569915,
        4.570663305809816,
        4.570682380049718,
        4.570701454289619,
        4.57072052852952,
        4.57074007962542,
        4.570759153865321,
        4.5707782281052225,
        4.570797302345124,
        4.570816376585025,
        4.5708354508249265,
        4.570855001920825,
        4.570874076160727,
        4.570893150400629,
        4.57091222464053,
        4.570931298880431,
        4.570950373120333,
        4.570969447360234,
        4.570988521600135,
        4.571008072696035,
        4.571027146935936,
        4.571046221175838,
        4.571065295415739,
        4.57108436965564,
        4.571103443895542,
        4.571122518135443,
        4.571141592375344,
        4.571160666615246,
        4.571179740855147,
        4.5711992919510465,
        4.571218366190948,
        4.571237440430849,
        4.5712565146707504,
        4.571275588910652,
        4.571294663150553,
        4.571313737390454,
        4.571332811630356,
        4.571351885870258,
        4.571370960110159,
        4.571390034350061,
        4.571409108589962,
        4.571428182829863,
        4.571447257069765,
        4.571466331309666,
        4.571485405549567,
        4.571504479789469,
        4.57152355402937,
        4.571542628269272,
        4.5715617025091735,
        4.571580776749075,
        4.5716003278449735,
        4.571619402084875,
        4.571638476324776,
        4.5716575505646775,
        4.57167662480458,
        4.571695699044481,
        4.571714773284382,
        4.571733847524284,
        4.571752921764185,
        4.571771519148089,
        4.57179059338799,
        4.571809667627892,
        4.571828741867793,
        4.571847816107694,
        4.571866890347596,
        4.571885964587497,
        4.571905038827399,
        4.5719241130673005,
        4.571943187307202,
        4.571962261547103,
        4.5719813357870045,
        4.572000410026906,
        4.572019484266807,
        4.5720385585067085,
        4.57205763274661,
        4.572076706986511,
        4.572095781226413,
        4.572114855466315,
        4.572133929706216,
        4.572153003946117,
        4.572171601330021,
        4.572190675569923,
        4.572209749809824,
        4.572228824049725,
        4.572247898289627,
        4.572266972529528,
        4.572286046769429,
        4.572305121009331,
        4.572324195249233,
        4.572343269489134,
        4.572552132416054,
        4.572571206655956,
        4.572590280895858,
        4.572609355135759,
        4.572627952519663,
        4.572647026759564,
        4.572666100999466,
        4.572685175239367,
        4.572704249479268,
        4.57272332371917,
        4.5727419211030735,
        4.572760995342975,
        4.572780069582876,
        4.5727991438227775,
        4.572818218062679,
        4.572837292302581,
        4.572855889686484,
        4.572874963926386,
        4.572894038166288,
        4.572913112406189,
        4.572931709790093,
        4.572950784029994,
        4.572969858269896,
        4.572988932509797,
        4.573008006749698,
        4.573026604133602,
        4.573045678373504,
        4.573064752613405,
        4.573083826853306,
        4.57310242423721,
        4.573121498477112,
        4.573140572717013,
        4.573159646956915,
        4.573178244340818,
        4.57319731858072,
        4.573216392820622,
        4.573235467060523,
        4.573254064444427,
        4.573273138684328,
        4.57329221292423,
        4.573311287164131,
        4.573329884548035,
        4.573481524755251,
        4.573500598995152,
        4.573519196379056,
        4.573538270618958,
        4.573557344858859,
        4.573575942242763,
        4.573595016482664,
        4.573614090722566,
        4.5736326881064695,
        4.573651762346372,
        4.573670836586273,
        4.573689433970177,
        4.573708508210078,
        4.57372758244998,
        4.573746179833884,
        4.573765254073785,
        4.573784328313686,
        4.57380292569759,
        4.573821999937492,
        4.573840597321396,
        4.573859671561297,
        4.573878745801198,
        4.573897343185102,
        4.5739164174250035,
        4.573935491664905,
        4.573954089048809,
        4.57397316328871,
        4.573991760672614,
        4.5740108349125155,
        4.574029909152417,
        4.574048506536321,
        4.574067580776222,
        4.574086178160126,
        4.574105252400027,
        4.574124326639929,
        4.574142924023833,
        4.574161998263734,
        4.574180595647638,
        4.574199669887539,
        4.574218267271443,
        4.574237341511345,
        4.574256415751246,
        4.57427501313515,
        4.574294087375051,
        4.574312684758955,
        4.574331758998857,
        4.5743503563827606,
        4.574369430622662,
        4.574388028006566,
        4.574407102246467,
        4.574426176486369,
        4.5744447738702725,
        4.574463848110175,
        4.574482445494078,
        4.57450151973398,
        4.574520117117883,
        4.574539191357785,
        4.574557788741688,
        4.574576862981591,
        4.574595460365494,
        4.574614534605396,
        4.574633131989299,
        4.5748400874922295,
        4.574859161732131,
        4.574877759116035,
        4.574896833355936,
        4.57491543073984,
        4.574934504979741,
        4.574953102363645,
        4.574972176603547,
        4.574990773987451,
        4.575009371371355,
        4.575028445611256,
        4.57504704299516,
        4.575066117235061,
        4.575084714618965,
        4.575103788858867,
        4.575122386242771,
        4.5751409836266745,
        4.575160057866576,
        4.57517865525048,
        4.575197729490381,
        4.575216326874285,
        4.575234924258189,
        4.5752539984980904,
        4.575272595881994,
        4.575291670121896,
        4.5753102675058,
        4.575328864889704,
        4.575347939129605,
        4.575366536513509,
        4.575385133897413,
        4.575404208137314,
        4.575422805521218,
        4.57544187976112,
        4.575460477145024,
        4.5754790745289275,
        4.575498148768829,
        4.575516746152733,
        4.575535343536637,
        4.575554417776538,
        4.575573015160442,
        4.575591612544346,
        4.575610686784247,
        4.575629284168151,
        4.575647881552055,
        4.575666955791957,
        4.575685553175861,
        4.575704150559764,
        4.575723224799666,
        4.575741822183569,
        4.575760419567473,
        4.575779016951377,
        4.575798091191278,
        4.575816688575182,
        4.575835285959086,
        4.575854360198988,
        4.575872957582892,
        4.575891554966796,
        4.5759101523506995,
        4.575929226590601,
        4.575947823974505,
        4.575966421358409,
        4.57598549559831,
        4.576004092982214,
        4.576022690366118,
        4.576041287750022,
        4.576060361989923,
        4.576078959373827,
        4.576097556757731,
        4.576116154141634,
        4.576135228381537,
        4.57615382576544,
        4.576172423149344,
        4.576191020533248,
        4.576209617917152,
        4.576228692157053,
        4.576247289540957,
        4.576265886924861,
        4.576284484308765,
        4.576303558548666,
        4.57632215593257,
        4.576340753316474,
        4.576359350700378,
        4.576377948084282,
        4.576397022324183,
        4.576415619708087,
        4.576434217091991,
        4.5764528144758945,
        4.576471411859798,
        4.5764904860997,
        4.576509083483604,
        4.576527680867508,
        4.576546278251412,
        4.576564875635316,
        4.57658347301922,
        4.576602547259121,
        4.576621144643025,
        4.576639742026929,
        4.576658339410833,
        4.576676936794737,
        4.576695534178641,
        4.576714131562544,
        4.576733205802446,
        4.576751803186349,
        4.576770400570253,
        4.576788997954157,
        4.576807595338061,
        4.576826192721965,
        4.576844790105869,
        4.576863387489773,
        4.576882461729674,
        4.576901059113578,
        4.576919656497482,
        4.576938253881386,
        4.5771433019603265,
        4.5771618993442305,
        4.577180496728134,
        4.5771990941120375,
        4.5772176914959415,
        4.5772362888798455,
        4.577254886263749,
        4.577273483647653,
        4.577292081031557,
        4.577310678415461,
        4.577329275799365,
        4.577347873183269,
        4.577366470567173,
        4.577385067951076,
        4.57740366533498,
        4.577422262718884,
        4.577440860102788,
        4.577459457486692,
        4.577478054870596,
        4.5774966522545,
        4.577515249638404,
        4.577533847022308,
        4.577552444406212,
        4.577571041790115,
        4.577589639174019,
        4.577608236557923,
        4.577626833941827,
        4.577645431325731,
        4.577664028709635,
        4.577682626093539,
        4.577701223477443,
        4.577719820861347,
        4.577738418245251,
        4.577757015629154,
        4.577775613013058,
        4.577794210396962,
        4.577812807780866,
        4.57783140516477,
        4.577850002548674,
        4.577868599932578,
        4.577887197316482,
        4.577905794700386,
        4.57792439208429,
        4.577942989468193,
        4.577961586852097,
        4.577980184236001,
        4.5779983047639075,
        4.578016902147811,
        4.578035499531715,
        4.578054096915619,
        4.578072694299523,
        4.578091291683426,
        4.57810988906733,
        4.578128486451234,
        4.578147083835138,
        4.578165681219042,
        4.578184278602946,
        4.578202399130853,
        4.578220996514757,
        4.57823959389866,
        4.578258191282564,
        4.578276788666468,
        4.578295386050372,
        4.578313983434276,
        4.57833258081818,
        4.5783507013460865,
        4.57836929872999,
        4.5783878961138935,
        4.5784064934977975,
        4.5784250908817015,
        4.578443688265605,
        4.578461808793512,
        4.578480406177416,
        4.57849900356132,
        4.578517600945224,
        4.578536198329127,
        4.578554795713031,
        4.578572916240938,
        4.578591513624842,
        4.578610111008746,
        4.57862870839265,
        4.5786473057765535,
        4.5786659031604575,
        4.578684023688363,
        4.578702621072267,
        4.578721218456171,
        4.578739815840075,
        4.578758413223979,
        4.578776533751886,
        4.578795131135789,
        4.578813728519693,
        4.578832325903597,
        4.578850446431503,
        4.578869043815407,
        4.578887641199311,
        4.578906238583215,
        4.578924835967119,
        4.578942956495025,
        4.578961553878929,
        4.578980151262833,
        4.578998748646737,
        4.579016869174644,
        4.5790354665585475,
        4.579054063942451,
        4.579072661326355,
        4.579090781854261,
        4.579109379238165,
        4.579127976622069,
        4.579146097149976,
        4.579164694533879,
        4.579183291917783,
        4.579201889301687,
        4.579220009829593,
        4.579238607213497,
        4.579257204597401,
        4.579275325125307,
        4.579293922509211,
        4.579312519893115,
        4.579459868396354,
        4.579478465780258,
        4.579497063164162,
        4.579515183692068,
        4.5795337810759715,
        4.5795523784598755,
        4.579570498987782,
        4.579589096371686,
        4.57960769375559,
        4.579625814283496,
        4.5796444116674,
        4.579662532195306,
        4.57968112957921,
        4.579699726963114,
        4.57971784749102,
        4.579736444874924,
        4.579755042258828,
        4.579773162786735,
        4.579791760170639,
        4.579809880698545,
        4.579828478082448,
        4.579847075466352,
        4.579865195994259,
        4.579883793378163,
        4.5799019139060695,
        4.5799205112899735,
        4.5799391086738765,
        4.579957229201783,
        4.579975826585687,
        4.579993947113594,
        4.580012544497498,
        4.580031141881402,
        4.580049262409307,
        4.580067859793211,
        4.580085980321118,
        4.580104577705022,
        4.580122698232928,
        4.580141295616832,
        4.580159416144738,
        4.580178013528642,
        4.580196610912546,
        4.580214731440453,
        4.580233328824356,
        4.580251449352263,
        4.580270046736167,
        4.580288167264073,
        4.580306764647977,
        4.580324885175883,
        4.580343482559787,
        4.5803616030876935,
        4.580380200471597,
        4.580398320999504,
        4.580416918383407,
        4.580435038911314,
        4.580453636295218,
        4.580471756823124,
        4.580637225854269,
        4.5806553463821755,
        4.5806739437660795,
        4.580692064293985,
        4.580710661677889,
        4.580728782205796,
        4.580746902733702,
        4.580765500117606,
        4.580783620645512,
        4.580802218029416,
        4.580820338557323,
        4.580838935941227,
        4.580857056469132,
        4.580875176997039,
        4.580893774380943,
        4.58091189490885,
        4.580930492292754,
        4.580948612820659,
        4.580967210204563,
        4.58098533073247,
        4.581003451260377,
        4.58102204864428,
        4.581040169172186,
        4.58105876655609,
        4.581076887083997,
        4.581095007611903,
        4.5811136049958066,
        4.581131725523713,
        4.581150322907617,
        4.581168443435524,
        4.5811865639634295,
        4.5812051613473335,
        4.58122328187524,
        4.581241402403147,
        4.581259999787051,
        4.581278120314956,
        4.581296240842863,
        4.581314838226767,
        4.581332958754674,
        4.581351556138577,
        4.581369676666483,
        4.58138779719439,
        4.581406394578294,
        4.5814245151062,
        4.581442635634106,
        4.58146123301801,
        4.581479353545917,
        4.581497474073823,
        4.581515594601729,
        4.581534191985633,
        4.58155231251354,
        4.5815704330414455,
        4.5815890304253495,
        4.581607150953256,
        4.581625271481163,
        4.581643868865067,
        4.581661989392972,
        4.581771666272406,
        4.581789786800313,
        4.581807907328218,
        4.581826027856125,
        4.581844625240029,
        4.5818627457679355,
        4.581880866295841,
        4.581898986823748,
        4.581917584207652,
        4.5819357047355584,
        4.581953825263464,
        4.581971945791371,
        4.581990543175275,
        4.582008663703181,
        4.582026784231087,
        4.582044904758994,
        4.582063502142898,
        4.582081622670804,
        4.58209974319871,
        4.582117863726617,
        4.582135984254523,
        4.582154581638427,
        4.582172702166333,
        4.58219082269424,
        4.582208943222146,
        4.582227063750052,
        4.582245661133956,
        4.5822637816618625,
        4.582281902189769,
        4.582300022717675,
        4.5823181432455815,
        4.5823367406294855,
        4.582354861157392,
        4.582372981685298,
        4.5823911022132044,
        4.582409222741111,
        4.582427343269017,
        4.582445940652921,
        4.582464061180827,
        4.582482181708734,
        4.58250030223664,
        4.582518422764546,
        4.582536543292453,
        4.58255466382036,
        4.582573261204263,
        4.582591381732169,
        4.582609502260076,
        4.5826276227879825,
        4.582645743315888,
        4.582663863843795,
        4.5826819843717015,
        4.582700104899607,
        4.582718702283511,
        4.582736822811418,
        4.582754943339324,
        4.58277306386723,
        4.582791184395137,
        4.582809304923043,
        4.582827425450949,
        4.582845545978856,
        4.582863666506762,
        4.582881787034669,
        4.582900384418572,
        4.582918504946479,
        4.582936625474385,
        4.582954746002292,
        4.582972866530198,
        4.582990987058104,
        4.583009107586011,
        4.583027228113917,
        4.583045348641823,
        4.58306346916973,
        4.583081589697636,
        4.583099710225542,
        4.583117830753449,
        4.5831359512813545,
        4.583154071809261,
        4.583172192337168,
        4.583190312865074,
        4.58320843339298,
        4.583226553920887,
        4.583244674448793,
        4.583262794976699,
        4.583281392360603,
        4.58329951288851,
        4.583317633416416,
        4.583335753944322,
        4.583353874472229,
        4.583371995000135,
        4.583390115528041,
        4.583408236055948,
        4.583426356583854,
        4.583444477111761,
        4.583462120783669,
        4.583480241311576,
        4.583498361839482,
        4.583516482367388,
        4.583534602895295,
        4.583552723423201,
        4.583570843951107,
        4.583588964479014,
        4.58360708500692,
        4.583625205534826,
        4.583643326062733,
        4.583661446590639,
        4.583679567118545,
        4.583697687646452,
        4.583715808174358,
        4.583733928702265,
        4.583752049230171,
        4.583770169758077,
        4.583788290285984,
        4.58380641081389,
        4.583824531341796,
        4.583842175013705,
        4.583860295541611,
        4.583878416069518,
        4.5838965365974245,
        4.58391465712533,
        4.583932777653237,
        4.583950898181143,
        4.583969018709049,
        4.583987139236956,
        4.584005259764862,
        4.584022903436771,
        4.584149747132115,
        4.584167390804025,
        4.58418551133193,
        4.584203631859837,
        4.5842217523877435,
        4.584239872915649,
        4.584257993443556,
        4.5842761139714625,
        4.584293757643371,
        4.5843118781712775,
        4.584329998699184,
        4.58434811922709,
        4.5843662397549965,
        4.584384360282903,
        4.5844020039548115,
        4.584420124482718,
        4.584438245010625,
        4.58445636553853,
        4.584474486066437,
        4.584492129738346,
        4.584510250266252,
        4.584528370794159,
        4.584546491322065,
        4.584564611849971,
        4.58458225552188,
        4.584600376049787,
        4.584618496577693,
        4.584636617105599,
        4.584654737633506,
        4.584672381305414,
        4.584690501833321,
        4.5847086223612274,
        4.584726742889133,
        4.584744386561042,
        4.584762507088948,
        4.584780627616855,
        4.584798748144761,
        4.58481639181667,
        4.584834512344576,
        4.584852632872483,
        4.584870753400389,
        4.584888397072298,
        4.584906517600205,
        4.58492463812811,
        4.584942758656017,
        4.584960402327926,
        4.584978522855832,
        4.584996643383739,
        4.585014763911645,
        4.585032407583554,
        4.58505052811146,
        4.585068648639367,
        4.585086292311275,
        4.585104412839182,
        4.5851225333670875,
        4.585140177038997,
        4.585158297566903,
        4.585176418094809,
        4.585194538622716,
        4.585212182294624,
        4.585230302822531,
        4.585248423350437,
        4.585266067022346,
        4.585284187550252,
        4.585302308078159,
        4.585319951750067,
        4.585338072277974,
        4.585356192805881,
        4.585373836477789,
        4.585391957005696,
        4.585409600677604,
        4.585427721205511,
        4.585445841733417,
        4.585463485405326,
        4.585481605933232,
        4.585499726461139,
        4.585517370133047,
        4.585535490660954,
        4.58555361118886,
        4.585571254860769,
        4.585589375388675,
        4.585607019060584,
        4.58562513958849,
        4.585643260116397,
        4.585660903788305,
        4.585679024316212,
        4.58569666798812,
        4.585714788516027,
        4.585732909043934,
        4.585750552715842,
        4.585768673243749,
        4.585786316915657,
        4.585804437443564,
        4.58582255797147,
        4.585840201643379,
        4.585858322171285,
        4.585875965843194,
        4.5858940863711,
        4.5859117300430094,
        4.585929850570915,
        4.585947971098822,
        4.585965614770731,
        4.585983735298637,
        4.586001378970546,
        4.586019499498452,
        4.586037143170361,
        4.586055263698268,
        4.586072907370176,
        4.586091027898083,
        4.586108671569991,
        4.586126792097898,
        4.586144435769807,
        4.586162556297713,
        4.586180199969622,
        4.586198320497528,
        4.586216441025434,
        4.5862340846973435,
        4.586252205225249,
        4.5862698488971585,
        4.586287969425064,
        4.5863056130969735,
        4.58632373362488,
        4.5863413772967885,
        4.586359020968698,
        4.5863771414966035,
        4.586394785168513,
        4.586412905696419,
        4.586555962495679,
        4.586573606167589,
        4.586591726695495,
        4.586609370367404,
        4.586627014039313,
        4.586645134567219,
        4.586662778239128,
        4.5866808987670336,
        4.586698542438943,
        4.586716662966849,
        4.586734306638758,
        4.586751950310667,
        4.586770070838573,
        4.586787714510482,
        4.586805835038388,
        4.586823478710297,
        4.586841122382205,
        4.586859242910112,
        4.586876886582021,
        4.586895007109927,
        4.586912650781836,
        4.586930294453745,
        4.586948414981651,
        4.5869660586535606,
        4.586984179181466,
        4.5870018228533755,
        4.587019466525284,
        4.5870375870531905,
        4.587055230725099,
        4.587072874397008,
        4.587090994924915,
        4.587108638596823,
        4.587126282268732,
        4.587144402796638,
        4.587162046468547,
        4.587179690140456,
        4.587197810668362,
        4.587215454340271,
        4.587233574868177,
        4.587251218540087,
        4.587268862211995,
        4.587286505883904,
        4.58730462641181,
        4.587322270083719,
        4.587339913755628,
        4.587358034283534,
        4.5873756779554435,
        4.587393321627352,
        4.5874114421552585,
        4.587429085827167,
        4.587446729499076,
        4.587464850026982,
        4.587482493698891,
        4.5875001373707995,
        4.587517781042709,
        4.587535901570615,
        4.587553545242524,
        4.587571188914433,
        4.587589309442339,
        4.587606953114248,
        4.587624596786156,
        4.587642240458066,
        4.587660360985971,
        4.587678004657881,
        4.587695648329789,
        4.587713292001698,
        4.587731412529605,
        4.587926446632597,
        4.5879440903045055,
        4.587962210832412,
        4.58797985450432,
        4.58799749817623,
        4.588015141848138,
        4.588032785520047,
        4.588050906047953,
        4.588068549719862,
        4.588086193391771,
        4.58810383706368,
        4.588121480735588,
        4.588139601263495,
        4.588157244935404,
        4.588174888607313,
        4.588192532279222,
        4.58821017595113,
        4.5882278196230395,
        4.588245940150945,
        4.5882635838228545,
        4.588281227494763,
        4.588298871166672,
        4.5883165148385805,
        4.58833415851049,
        4.588351802182398,
        4.588369922710305,
        4.588387566382213,
        4.588405210054122,
        4.588422853726031,
        4.58844049739794,
        4.588458141069848,
        4.588475784741758,
        4.588493428413666,
        4.588511548941573,
        4.588529192613482,
        4.58854683628539,
        4.5885644799572995,
        4.588582123629208,
        4.588599767301117,
        4.588617410973026,
        4.588635054644935,
        4.588652698316843,
        4.5886703419887525,
        4.588688462516658,
        4.5887061061885674,
        4.588723749860476,
        4.588741393532385,
        4.5887590372042935,
        4.588776680876203,
        4.588935473923382,
        4.588953117595291,
        4.588970761267199,
        4.588988881795106,
        4.589006525467014,
        4.5890241691389235,
        4.589041812810832,
        4.589059456482741,
        4.5890771001546495,
        4.589094743826559,
        4.589112387498467,
        4.589130031170376,
        4.589147674842285,
        4.589165318514194,
        4.589182962186102,
        4.589200605858012,
        4.58921824952992,
        4.589235893201829,
        4.589253536873738,
        4.589271180545647,
        4.589288824217555,
        4.589306467889465,
        4.589324111561373,
        4.589341755233282,
        4.589358922049193,
        4.5893765657211025,
        4.589394209393011,
        4.58941185306492,
        4.5894294967368285,
        4.589447140408738,
        4.589464784080646,
        4.589482427752555,
        4.589500071424464,
        4.589517715096372,
        4.5895353587682814,
        4.58955300244019,
        4.589570646112099,
        4.5895882897840075,
        4.589605933455917,
        4.589623577127825,
        4.589641220799734,
        4.589658387615645,
        4.589676031287555,
        4.589693674959463,
        4.589711318631372,
        4.589728962303281,
        4.58974660597519,
        4.589764249647098,
        4.5897818933190075,
        4.589799536990916,
        4.589817180662825,
        4.589834347478736,
        4.589851991150645,
        4.589869634822554,
        4.589887278494462,
        4.5899049221663715,
        4.58992256583828,
        4.589940209510189,
        4.5899578531820975,
        4.589975019998009,
        4.589992663669918,
        4.590010307341827,
        4.590027951013735,
        4.590045594685645,
        4.590063238357553,
        4.590080882029462,
        4.590098048845373,
        4.590115692517283,
        4.590133336189191,
        4.5901509798611,
        4.590168623533009,
        4.590186267204917,
        4.590203434020829,
        4.590221077692737,
        4.5902387213646465,
        4.590256365036555,
        4.590274008708464,
        4.590291175524375,
        4.590308819196284,
        4.590326462868193,
        4.590344106540102,
        4.59036175021201,
        4.5903789170279214,
        4.590396560699831,
        4.590414204371739,
        4.590431848043648,
        4.590449491715557,
        4.590466658531469,
        4.590484302203377,
        4.590501945875286,
        4.590519589547195,
        4.590536756363106,
        4.590554400035015,
        4.590572043706923,
        4.5905896873788326,
        4.590606854194744,
        4.590624497866653,
        4.590642141538561,
        4.5906597852104705,
        4.5906769520263815,
        4.59069459569829,
        4.590712239370199,
        4.5907298830421075,
        4.590747049858019,
        4.590764693529928,
        4.590782337201837,
        4.590799980873745,
        4.590817147689656,
        4.590834791361566,
        4.590852435033474,
        4.590869601849386,
        4.590887245521294,
        4.590904889193204,
        4.590922532865112,
        4.590939699681024,
        4.590957343352932,
        4.5909749870248415,
        4.5909921538407525,
        4.591009797512661,
        4.59102744118457,
        4.591044608000481,
        4.5910622516723905,
        4.591079895344299,
        4.59109706216021,
        4.591114705832119,
        4.5911323495040275,
        4.591149516319939,
        4.591167159991848,
        4.591184803663757,
        4.591201970479668,
        4.591219614151576,
        4.591237257823486,
        4.591272068311306,
        4.591306878799126,
        4.591324522471035,
        4.591341689286946,
        4.591359332958855,
        4.591376976630763,
        4.591394143446675,
        4.5914117871185836,
        4.591428953934495,
        4.591446597606404,
        4.591464241278312,
        4.591481408094224,
        4.5914990517661325,
        4.5915162185820435,
        4.591533862253953,
        4.591551505925861,
        4.591568672741773,
        4.591586316413681,
        4.591603483229593,
        4.591621126901502,
        4.591638770573411,
        4.591655937389322,
        4.59167358106123,
        4.591690747877142,
        4.591708391549051,
        4.591725558364962,
        4.591743202036871,
        4.591760368852782,
        4.591778012524691,
        4.5917956561966,
        4.591812823012511,
        4.59183046668442,
        4.591847633500331,
        4.59186527717224,
        4.591882443988151,
        4.59190008766006,
        4.591917254475971,
        4.59193489814788,
        4.591952064963792,
        4.5919697086357,
        4.591986875451611,
        4.59200451912352,
        4.592021685939431,
        4.592039329611341,
        4.592056496427252,
        4.59207414009916,
        4.592091306915072,
        4.59210895058698,
        4.592126117402892,
        4.592143761074801,
        4.592160927890712,
        4.592178571562621,
        4.592195738378532,
        4.592213382050441,
        4.592230548866352,
        4.5922481925382606,
        4.5922653593541725,
        4.592283003026081,
        4.592300169841992,
        4.592317813513901,
        4.592334980329812,
        4.592352624001721,
        4.592369790817632,
        4.592386957633543,
        4.592404601305453,
        4.592421768121364,
        4.592439411793273,
        4.592456578609184,
        4.592474222281092,
        4.592491389097004,
        4.592508555912915,
        4.5925261995848246,
        4.592543366400736,
        4.592561010072644,
        4.592578176888556,
        4.592595820560464,
        4.592612987376375,
        4.592630154192287,
        4.5926477978641955,
        4.5926649646801065,
        4.592682608352016,
        4.592699775167927,
        4.592716941983839,
        4.592734585655747,
        4.592751752471658,
        4.59276891928757,
        4.592786562959478,
        4.592803729775389,
        4.592821373447299,
        4.59283854026321,
        4.592855707079121,
        4.59287335075103,
        4.592890517566941,
        4.592907684382853,
        4.592925328054761,
        4.592942494870672,
        4.592959661686584,
        4.592977305358493,
        4.592994472174404,
        4.5930116389903155,
        4.593029282662224,
        4.593046449478136,
        4.593063616294047,
        4.593081259965955,
        4.593098426781867,
        4.593115593597778,
        4.5931332372696865,
        4.593150404085598,
        4.593167570901509,
        4.593185214573418,
        4.59320238138933,
        4.593219548205241,
        4.59323719187715,
        4.593254358693061,
        4.593271525508972,
        4.593288692324883,
        4.593306335996792,
        4.593323502812703,
        4.593340669628615,
        4.593358313300524,
        4.593375480116435,
        4.5933926469323465,
        4.5934098137482575,
        4.593427457420166,
        4.593444624236078,
        4.593461791051989,
        4.5934789578679,
        4.593496601539809,
        4.59351376835572,
        4.593530935171631,
        4.593548101987543,
        4.593565745659451,
        4.593582912475362,
        4.593600079291274,
        4.593617246107185,
        4.593634889779094,
        4.593652056595006,
        4.593669223410917,
        4.593686390226828,
        4.59370355704274,
        4.593721200714648,
        4.593738367530559,
        4.593755534346471,
        4.593772701162382,
        4.593790344834291,
        4.593807511650202,
        4.593824678466113,
        4.593841845282024,
        4.593859012097936,
        4.5938766557698445,
        4.5938938225857555,
        4.593910989401667,
        4.593928156217578,
        4.5939453230334895,
        4.593962489849401,
        4.59398013352131,
        4.593997300337221,
        4.594014467153133,
        4.594031633969044,
        4.594048800784955,
        4.594065967600867,
        4.594083611272775,
        4.594100778088686,
        4.594117944904598,
        4.594135111720509,
        4.59415227853642,
        4.594169445352332,
        4.594186612168243,
        4.594204255840151,
        4.594221422656063,
        4.594238589471974,
        4.594255756287885,
        4.594272923103797,
        4.594290089919708,
        4.594307256735619,
        4.59432442355153,
        4.594341590367442,
        4.59435923403935,
        4.5943764008552614,
        4.594393567671173,
        4.594410734487084,
        4.594427901302995,
        4.594445068118907,
        4.594462234934818,
        4.594479401750729,
        4.594496568566641,
        4.594513735382552,
        4.594530902198463,
        4.594548069014374,
        4.5945657126862836,
        4.594582879502195,
        4.594600046318106,
        4.5946172131340175,
        4.5946343799499285,
        4.5946515467658395,
        4.594668713581751,
        4.5946858803976625,
        4.5947030472135735,
        4.594720214029485,
        4.594737380845396,
        4.594754547661307,
        4.594771714477218,
        4.59478888129313,
        4.594806048109041,
        4.594823214924952,
        4.596128846646205,
        4.5974688119992795,
        4.597489316807174,
        4.597509821615068,
        4.5975303264229614,
        4.597550831230856,
        4.597570859182753,
        4.597591363990646,
        4.59761186879854,
        4.597632373606435,
        4.597652878414328,
        4.597673383222222,
        4.597693888030117,
        4.59771439283801,
        4.597734420789907,
        4.597754925597801,
        4.597775430405695,
        4.597795935213589,
        4.597816440021483,
        4.597836944829377,
        4.5978569727812735,
        4.597877477589168,
        4.597897982397061,
        4.597918487204955,
        4.59793899201285,
        4.597959496820744,
        4.59797952477264,
        4.598000029580534,
        4.598020534388429,
        4.598041039196322,
        4.598061544004216,
        4.598081571956112,
        4.598102076764007,
        4.598122581571901,
        4.598143086379795,
        4.598163591187689,
        4.5981836191395855,
        4.59820412394748,
        4.598224628755373,
        4.5982451335632675,
        4.598265638371162,
        4.598285666323058,
        4.598306171130952,
        4.598326675938846,
        4.59834718074674,
        4.598367208698637,
        4.598387713506531,
        4.598408218314424,
        4.598428723122319,
        4.598448751074215,
        4.598469255882109,
        4.598489760690003,
        4.598509788641899,
        4.598530293449794,
        4.598550798257688,
        4.598571303065582,
        4.598591331017478,
        4.5986118358253725,
        4.598632340633266,
        4.598652368585163,
        4.598672873393057,
        4.5986933782009505,
        4.598713883008845,
        4.598733910960742,
        4.598754415768635,
        4.598774920576529,
        4.598794948528426,
        4.59881545333632,
        4.598835958144214,
        4.59885598609611,
        4.598876490904004,
        4.598896995711899,
        4.598917023663795,
        4.598937528471689,
        4.598958033279583,
        4.598978061231479,
        4.5989985660393735,
        4.599019070847268,
        4.599039098799164,
        4.599059603607058,
        4.599079631558954,
        4.5991001363668484,
        4.599120641174743,
        4.599140669126639,
        4.599161173934533,
        4.599181678742427,
        4.599201706694323,
        4.599222211502218,
        4.599242239454115,
        4.599262744262008,
        4.599283249069902,
        4.599303277021798,
        4.599323781829693,
        4.5993438097815895,
        4.599364314589483,
        4.59938434254138,
        4.599404847349274,
        4.5994253521571675,
        4.5994453801090645,
        4.599465884916959,
        4.599485912868855,
        4.599506417676749,
        4.599526445628645,
        4.599546950436539,
        4.599567455244434,
        4.59958748319633,
        4.599607988004224,
        4.59962801595612,
        4.599648520764014,
        4.599668548715911,
        4.599689053523805,
        4.599709081475702,
        4.599729586283596,
        4.599749614235492,
        4.599770119043386,
        4.599790146995282,
        4.5998106518031765,
        4.5998306797550725,
        4.599851184562967,
        4.599871212514864,
        4.599891717322757,
        4.599911745274654,
        4.599932250082548,
        4.599952278034444,
        4.599972782842339,
        4.599992810794235,
        4.600013315602129,
        4.600033343554026,
        4.600053848361919,
        4.600073876313816,
        4.6000943811217105,
        4.600114409073607,
        4.6001344370255035,
        4.600154941833397,
        4.600174969785294,
        4.600195474593187,
        4.600215502545084,
        4.600236007352978,
        4.6002560353048745,
        4.600276063256771,
        4.600296568064665,
        4.600316596016562,
        4.600337100824456,
        4.600357128776352,
        4.600377633584246,
        4.600397661536142,
        4.600417689488039,
        4.600438194295934,
        4.60045822224783,
        4.600478727055724,
        4.60049875500762,
        4.600518782959517,
        4.600539287767411,
        4.600559315719307,
        4.600579343671204,
        4.6005998484790975,
        4.6006198764309945,
        4.600640381238888,
        4.600660409190785,
        4.600680437142681,
        4.600700941950575,
        4.600720969902472,
        4.600740997854368,
        4.600761502662262,
        4.600781530614158,
        4.600801558566055,
        4.60082206337395,
        4.600842091325846,
        4.600862119277743,
        4.600882624085636,
        4.600902652037533,
        4.600922679989429,
        4.600943184797323,
        4.60096321274922,
        4.600983240701116,
        4.601003268653013,
        4.6010237734609065,
        4.6010438014128034,
        4.6010638293646995,
        4.601084334172594,
        4.601104362124491,
        4.601124390076387,
        4.601144418028284,
        4.601164922836177,
        4.601184950788074,
        4.60120497873997,
        4.601225483547864,
        4.601245511499761,
        4.601265539451657,
        4.601285567403554,
        4.601306072211448,
        4.6013261001633445,
        4.601346128115241,
        4.6013661560671375,
        4.601386660875031,
        4.601406688826928,
        4.601426716778824,
        4.601446744730721,
        4.601466772682618,
        4.601487277490511,
        4.601507305442408,
        4.601527333394304,
        4.601547361346201,
        4.601567866154094,
        4.601587894105991,
        4.601607922057887,
        4.601627950009784,
        4.60164797796168,
        4.601668005913577,
        4.601688510721472,
        4.601708538673368,
        4.6017285666252645,
        4.601748594577161,
        4.6017686225290575,
        4.601789127336951,
        4.601809155288848,
        4.601829183240744,
        4.601849211192641,
        4.601869239144537,
        4.601889267096434,
        4.60190929504833,
        4.601929799856224,
        4.601949827808121,
        4.601969855760017,
        4.601989883711914,
        4.60200991166381,
        4.602029939615707,
        4.602049967567603,
        4.6020699955195,
        4.602090500327393,
        4.60211052827929,
        4.602130556231186,
        4.602150584183083,
        4.60217061213498,
        4.602190640086876,
        4.602210668038773,
        4.602230695990669,
        4.602250723942566,
        4.602270751894462,
        4.602291256702356,
        4.602311284654252,
        4.602331312606149,
        4.602351340558045,
        4.602371368509942,
        4.602391396461838,
        4.602411424413735,
        4.602431452365631,
        4.602451480317528,
        4.602471508269424,
        4.602491536221321,
        4.602511564173217,
        4.602731871644079,
        4.602751899595975,
        4.602771927547872,
        4.602791955499768,
        4.602811983451665,
        4.602832011403561,
        4.602852039355458,
        4.602872067307354,
        4.602892095259251,
        4.602912123211148,
        4.602932151163044,
        4.602952179114941,
        4.602972207066837,
        4.602992235018734,
        4.60301226297063,
        4.603032290922527,
        4.603052318874423,
        4.60307234682632,
        4.603092374778216,
        4.603112402730113,
        4.603132430682009,
        4.603152458633906,
        4.603172486585802,
        4.603192514537699,
        4.603212542489595,
        4.603232093585493,
        4.60325212153739,
        4.603272149489286,
        4.603292177441183,
        4.603312205393079,
        4.603332233344976,
        4.603352261296872,
        4.603372289248769,
        4.603392317200665,
        4.603412345152562,
        4.603431896248461,
        4.603451924200358,
        4.603471952152254,
        4.603491980104151,
        4.603512008056047,
        4.603532036007944,
        4.60355206395984,
        4.603572091911737,
        4.603591643007635,
        4.603611670959532,
        4.603631698911428,
        4.603651726863325,
        4.603671754815221,
        4.603691782767118,
        4.603711810719014,
        4.603731361814914,
        4.60375138976681,
        4.603771417718707,
        4.603791445670603,
        4.6038114736225,
        4.6038310247183984,
        4.6038510526702945,
        4.603871080622191,
        4.6038911085740875,
        4.603911136525984,
        4.603930687621883,
        4.60395071557378,
        4.603970743525676,
        4.603990771477573,
        4.604010799429469,
        4.604030350525369,
        4.604050378477265,
        4.6040704064291615,
        4.604090434381058,
        4.6041104623329545,
        4.604130013428853,
        4.604150041380749,
        4.604170069332646,
        4.604190097284542,
        4.604209648380442,
        4.604229676332338,
        4.604249704284235,
        4.604269732236131,
        4.60428928333203,
        4.604309311283926,
        4.604329339235823,
        4.604348890331722,
        4.604368918283618,
        4.604388946235515,
        4.604408974187411,
        4.604428525283311,
        4.604448553235207,
        4.604468581187104,
        4.604488132283002,
        4.604508160234899,
        4.604528188186795,
        4.604548216138692,
        4.604567767234591,
        4.604587795186487,
        4.604607823138384,
        4.6046273742342825,
        4.604647402186179,
        4.6046674301380754,
        4.604686981233974,
        4.604707009185871,
        4.604727037137767,
        4.604746588233667,
        4.604766616185563,
        4.60478664413746,
        4.604806195233358,
        4.604826223185255,
        4.604846251137151,
        4.60486580223305,
        4.604885830184947,
        4.604905381280846,
        4.6049254092327425,
        4.604945437184639,
        4.604964988280538,
        4.604985016232434,
        4.605005044184331,
        4.60502459528023,
        4.605044623232126,
        4.605064174328025,
        4.605084202279921,
        4.605104230231818,
        4.605123781327717,
        4.605143809279614,
        4.605163360375513,
        4.605183388327409,
        4.605203416279306,
        4.605222967375204,
        4.605242995327101,
        4.605262546423,
        4.605282574374896,
        4.6053021254707955,
        4.605322153422692,
        4.6053421813745885,
        4.605361732470487,
        4.605381760422384,
        4.605401311518283,
        4.605421339470179,
        4.605440890566078,
        4.6054609185179745,
        4.605480469613874,
        4.60550049756577,
        4.605520048661669,
        4.605540076613566,
        4.605559627709464,
        4.605579655661361,
        4.60559920675726,
        4.605619234709157,
        4.605639262661053,
        4.605658813756952,
        4.605678841708849,
        4.605698392804747,
        4.605718420756644,
        4.605737971852543,
        4.6057575229484415,
        4.6057775509003385,
        4.605797101996237,
        4.605817129948134,
        4.605836681044033,
        4.605856708995929,
        4.605876260091828,
        4.605896288043724,
        4.605915839139623,
        4.60593586709152,
        4.605955418187419,
        4.605975446139316,
        4.605994997235214,
        4.606015025187111,
        4.60603457628301,
        4.606054127378909,
        4.6060741553308056,
        4.606093706426704,
        4.606113734378601,
        4.6061332854745,
        4.606153313426396,
        4.6061728645222955,
        4.606192415618194,
        4.60621244357009,
        4.60623199466599,
        4.606252022617886,
        4.606271573713785,
        4.606291124809684,
        4.60631115276158,
        4.60633070385748,
        4.606350731809376,
        4.606370282905275,
        4.606389834001174,
        4.60640986195307,
        4.60642941304897,
        4.606448964144868,
        4.606468992096764,
        4.606488543192664,
        4.606508094288563,
        4.6065281222404595,
        4.606547673336358,
        4.606567701288254,
        4.606587252384154,
        4.6066068034800525,
        4.606626831431949,
        4.606646382527848,
        4.606665933623747,
        4.606685961575644,
        4.606705512671542,
        4.606725063767441,
        4.606745091719338,
        4.606764642815237,
        4.606784193911135,
        4.606803745007035,
        4.606823772958931,
        4.6068433240548305,
        4.606862875150729,
        4.606882903102625,
        4.606902454198525,
        4.6069220052944235,
        4.60694203324632,
        4.606961584342219,
        4.606981135438118,
        4.6070006865340165,
        4.607020714485913,
        4.607040265581812,
        4.607059816677711,
        4.60707936777361,
        4.607099395725506,
        4.607118946821406,
        4.607138497917305,
        4.607158049013203,
        4.6071780769651,
        4.607197628060999,
        4.607217179156898,
        4.607236730252797,
        4.607256758204693,
        4.607276309300592,
        4.6072958603964915,
        4.60731541149239,
        4.607334962588289,
        4.607354990540186,
        4.6073745416360845,
        4.607394092731983,
        4.607413643827883,
        4.607433671779779,
        4.607453222875678,
        4.607472773971577,
        4.607492325067476,
        4.607511876163375,
        4.607531427259274,
        4.60755145521117,
        4.60757100630707,
        4.607590557402968,
        4.607610108498867,
        4.607629659594767,
        4.607649210690665,
        4.607669238642561,
        4.607688789738461,
        4.6077083408343595,
        4.607727891930258,
        4.607747443026158,
        4.6077669941220565,
        4.6077870220739525,
        4.607806573169852,
        4.607826124265751,
        4.6078456753616495,
        4.607865226457549,
        4.607884777553448,
        4.607904328649346,
        4.607923879745246,
        4.607943907697142,
        4.607963458793041,
        4.60798300988894,
        4.608002560984839,
        4.608022112080738,
        4.608041663176637,
        4.608061214272536,
        4.608080765368435,
        4.608100316464333,
        4.608119867560233,
        4.6081394186561315,
        4.6081594466080285,
        4.608178997703927,
        4.608198548799826,
        4.608218099895725,
        4.608237650991624,
        4.608257202087523,
        4.6082767531834214,
        4.608296304279321,
        4.60831585537522,
        4.608335406471118,
        4.608354957567018,
        4.608374508662917,
        4.608394059758815,
        4.608413610854715,
        4.608433161950614,
        4.608452713046512,
        4.608472264142411,
        4.6084918152383105,
        4.608511366334209,
        4.608530917430108,
        4.6085504685260075,
        4.608570019621906,
        4.608589570717805,
        4.608609121813704,
        4.608628672909603,
        4.608648224005502,
        4.608667775101401,
        4.6086873261973,
        4.608706877293199,
        4.608726428389097,
        4.608745979484997,
        4.608765530580896,
        4.608785081676794,
        4.608804632772694,
        4.608824183868593,
        4.608843734964491,
        4.608863286060391,
        4.6088828371562895,
        4.608902388252188,
        4.608921939348088,
        4.6089414904439865,
        4.608961041539885,
        4.608980592635784,
        4.609000143731683,
        4.609019694827582,
        4.609038769067483,
        4.609058320163382,
        4.609077871259282,
        4.60909742235518,
        4.609116973451079,
        4.609136524546979,
        4.609156075642877,
        4.609175626738776,
        4.609195177834676,
        4.609214728930574,
        4.609234280026473,
        4.609253354266374,
        4.609272905362274,
        4.6092924564581725,
        4.609312007554071,
        4.609331558649971,
        4.6093511097458695,
        4.609370660841768,
        4.609390211937667,
        4.609409286177569,
        4.609428837273468,
        4.609448388369366,
        4.609467939465265,
        4.609487490561165,
        4.609507041657063,
        4.609526592752962,
        4.609545666992863,
        4.609565218088763,
        4.609584769184662,
        4.60960432028056,
        4.60962387137646,
        4.609642945616361,
        4.60966249671226,
        4.609682047808159,
        4.609701598904058,
        4.609721149999957,
        4.6097407010958555,
        4.609759775335757,
        4.609779326431656,
        4.609798877527555,
        4.609818428623454,
        4.609837979719353,
        4.609857053959255,
        4.609876605055153,
        4.609896156151052,
        4.609915707246952,
        4.609934781486853,
        4.609954332582752,
        4.60997388367865,
        4.60999343477455,
        4.610012509014451,
        4.61003206011035,
        4.610051611206249,
        4.610071162302148,
        4.610284793789043,
        4.610303868028946,
        4.610323419124844,
        4.610342970220743,
        4.610362521316642,
        4.610381595556544,
        4.610401146652443,
        4.610420697748341,
        4.610439771988243,
        4.610459323084142,
        4.610478874180041,
        4.610497948419942,
        4.610517499515841,
        4.6105370506117405,
        4.610556124851642,
        4.6105756759475405,
        4.610595227043439,
        4.6106143012833405,
        4.61063385237924,
        4.610653403475139,
        4.61067247771504,
        4.610692028810939,
        4.610711579906838,
        4.61073065414674,
        4.610750205242638,
        4.61076927948254,
        4.610788830578439,
        4.610808381674338,
        4.610827455914239,
        4.610847007010138,
        4.6108665581060375,
        4.610885632345939,
        4.6109051834418375,
        4.610924257681739,
        4.6109438087776375,
        4.610963359873537,
        4.610982434113438,
        4.611001985209337,
        4.6110210594492385,
        4.611040610545138,
        4.611059684785039,
        4.611079235880938,
        4.611098786976837,
        4.611117861216738,
        4.611137412312638,
        4.611156486552539,
        4.611176037648438,
        4.611195111888339,
        4.611214662984238,
        4.611234214080137,
        4.611253288320039,
        4.611272839415937,
        4.611291913655839,
        4.611311464751738,
        4.6113305389916395,
        4.611350090087538,
        4.6113691643274395,
        4.611388715423338,
        4.61140778966324,
        4.611427340759139,
        4.61144641499904,
        4.611465966094939,
        4.61148504033484,
        4.61150459143074,
        4.611523665670641,
        4.61154321676654,
        4.611562291006441,
        4.61158184210234,
        4.611600916342242,
        4.611620467438141,
        4.611639541678042,
        4.611659092773941,
        4.611678167013842,
        4.611697718109742,
        4.611716792349643,
        4.611736343445542,
        4.611755417685443,
        4.611774968781342,
        4.611794043021244,
        4.611813117261145,
        4.611832668357044,
        4.611851742596945,
        4.611871293692844,
        4.611890367932746,
        4.611909919028645,
        4.611928993268546,
        4.611948544364445,
        4.611967618604346,
        4.611986692844248,
        4.612006243940147,
        4.612025318180049,
        4.612044869275947,
        4.612063943515849,
        4.61208301775575,
        4.6121025688516495,
        4.612121643091551,
        4.6121411941874495,
        4.612160268427351,
        4.612179342667252,
        4.612198893763152,
        4.612217968003053,
        4.612237519098952,
        4.612256593338853,
        4.612275667578754,
        4.612295218674653,
        4.612314292914555,
        4.612333367154457,
        4.612352918250355,
        4.612371992490257,
        4.612391066730158,
        4.6124106178260575,
        4.612429692065959,
        4.61244876630586,
        4.612468317401759,
        4.61248739164166,
        4.6125064658815615,
        4.612526016977461,
        4.6125450912173624,
        4.612564165457264,
        4.6125837165531625,
        4.612602790793064,
        4.612621865032965,
        4.612641416128865,
        4.612660490368766,
        4.612679564608667,
        4.612699115704566,
        4.612718189944467,
        4.612737264184369,
        4.61275633842427,
        4.61277588952017,
        4.612794963760071,
        4.612814037999972,
        4.612833589095871,
        4.612852663335772,
        4.612871737575674,
        4.612890811815576,
        4.6129103629114745,
        4.612929437151376,
        4.612948511391277,
        4.6129675856311785,
        4.612987136727077,
        4.613006210966979,
        4.613025285206881,
        4.613044359446782,
        4.613063910542681,
        4.613082984782582,
        4.613102059022483,
        4.613121133262385,
        4.613140684358284,
        4.613159758598186,
        4.613178832838087,
        4.613197907077988,
        4.61321698131789,
        4.613236532413788,
        4.61325560665369,
        4.613274680893592,
        4.613293755133493,
        4.6133128293733945,
        4.613332380469293,
        4.6133514547091945,
        4.613370528949096,
        4.613389603188997,
        4.6134086774288985,
        4.613428228524798,
        4.613447302764699,
        4.613466377004601,
        4.613485451244502,
        4.613504525484403,
        4.613523599724305,
        4.613542673964206,
        4.613562225060106,
        4.613581299300007,
        4.613600373539908,
        4.61361944777981,
        4.613638522019711,
        4.613657596259612,
        4.613676670499514,
        4.613696221595413,
        4.6137152958353145,
        4.613734370075216,
        4.613753444315117,
        4.6137725185550185,
        4.61379159279492,
        4.613810667034821,
        4.6138297412747225,
        4.613849292370622,
        4.613868366610523,
        4.613887440850425,
        4.613906515090326,
        4.613925589330227,
        4.613944663570129,
        4.61396373781003,
        4.613982812049931,
        4.614001886289833,
        4.614020960529735,
        4.614040034769636,
        4.6140591090095375,
        4.614078183249439,
        4.6140977343453375,
        4.614116808585239,
        4.61413588282514,
        4.614154957065042,
        4.614174031304944,
        4.614193105544845,
        4.614212179784746,
        4.614231254024648,
        4.614250328264549,
        4.61426940250445,
        4.614288476744352,
        4.614307550984253,
        4.614326625224154,
        4.614345699464057,
        4.614364773703958,
        4.614383847943859,
        4.614402922183761,
        4.614421996423662,
        4.614441070663563,
        4.614460144903465,
        4.614479219143366,
        4.614498293383267,
        4.6145173676231686,
        4.614536441863071,
        4.614555516102972,
        4.614574590342873,
        4.614593664582775,
        4.614612738822676,
        4.614631813062577,
        4.614650887302479,
        4.61466996154238,
        4.614689035782281,
        4.614708110022184,
        4.614727184262085,
        4.614746258501986,
        4.614765332741888,
        4.614783930125792,
        4.614803004365693,
        4.614822078605594,
        4.614841152845496,
        4.614860227085397,
        4.614879301325298,
        4.6148983755651996,
        4.614917449805101,
        4.614936524045003,
        4.614955598284904,
        4.614974672524806,
        4.614993746764707,
        4.615012821004608,
        4.615031418388512,
        4.615050492628414,
        4.615069566868315,
        4.615088641108216,
        4.615107715348118,
        4.615126789588019,
        4.61514586382792,
        4.615164938067823,
        4.615184012307724,
        4.615202609691628,
        4.615221683931529,
        4.6152407581714305,
        4.615259832411332,
        4.615278906651233,
        4.6152979808911345,
        4.615317055131036,
        4.61533565251494,
        4.615354726754841,
        4.6153738009947425,
        4.615392875234644,
        4.615411949474545,
        4.615431023714447,
        4.61544962109835,
        4.615468695338253,
        4.615487769578154,
        4.615506843818055,
        4.615525918057957,
        4.615544515441861,
        4.615563589681762,
        4.615582663921663,
        4.615601738161565,
        4.615620812401466,
        4.615639886641367,
        4.615658484025271,
        4.615677558265173,
        4.615696632505074,
        4.615715706744976,
        4.615734304128879,
        4.615753378368781,
        4.615772452608683,
        4.615791526848584,
        4.615810601088485,
        4.615829198472389,
        4.615848272712291,
        4.615867346952192,
        4.615886421192093,
        4.615905018575997,
        4.615924092815899,
        4.6159431670558,
        4.615962241295701,
        4.615980838679605,
        4.615999912919507,
        4.616018987159408,
        4.616037584543312,
        4.616056658783213,
        4.616075733023115,
        4.616094807263017,
        4.61611340464692,
        4.616132478886822,
        4.616151553126723,
        4.616170150510627,
        4.616189224750529,
        4.61620829899043,
        4.616227373230331,
        4.616245970614235,
        4.616265044854137,
        4.616284119094038,
        4.616302716477942,
        4.616321790717843,
        4.616340864957745,
        4.616359462341649,
        4.61637853658155,
        4.616397610821451,
        4.616416208205355,
        4.616435282445257,
        4.616454356685158,
        4.616472954069062,
        4.616492028308963,
        4.6165111025488645,
        4.6165296999327685,
        4.61654877417267,
        4.616567848412572,
        4.616586445796475,
        4.616605520036377,
        4.6166241174202804,
        4.616643191660183,
        4.616662265900084,
        4.616680863283988,
        4.616699937523889,
        4.616718534907793,
        4.616737609147695,
        4.616756683387596,
        4.6167752807715,
        4.616794355011401,
        4.616813429251303,
        4.6168320266352065,
        4.616851100875108,
        4.616869698259012,
        4.616888772498913,
        4.616907369882817,
        4.6169264441227185,
        4.61694551836262,
        4.616964115746524,
        4.616983189986425,
        4.617001787370329,
        4.61702086161023,
        4.617039458994134,
        4.617058533234036,
        4.61707713061794,
        4.617096204857841,
        4.617115279097742,
        4.617133876481646,
        4.617152950721548,
        4.617171548105452,
        4.617190622345353,
        4.617209219729257,
        4.617228293969158,
        4.617246891353062,
        4.6172659655929635,
        4.6172845629768675,
        4.617303637216769,
        4.617322234600673,
        4.617341308840574,
        4.617359906224478,
        4.6173789804643794,
        4.617397577848283,
        4.617416652088185,
        4.617435249472089,
        4.61745432371199,
        4.617472921095894,
        4.617491995335795,
        4.617510592719699,
        4.617529666959601,
        4.617548264343505,
        4.617567338583406,
        4.61758593596731,
        4.617605010207211,
        4.617623607591115,
        4.617642204975019,
        4.6176612792149205,
        4.6176798765988245,
        4.617698950838726,
        4.61771754822263,
        4.617736622462531,
        4.617755219846435,
        4.617943101109464,
        4.617962175349366,
        4.61798077273327,
        4.6179993701171735,
        4.618018444357075,
        4.618037041740979,
        4.61805611598088,
        4.618074713364784,
        4.618093310748688,
        4.6181123849885894,
        4.618130982372493,
        4.6181495797563965,
        4.618168653996299,
        4.618187251380202,
        4.618206325620104,
        4.618224923004007,
        4.618243520387911,
        4.618262594627812,
        4.618281192011716,
        4.61829978939562,
        4.618318863635522,
        4.618337461019426,
        4.61835605840333,
        4.618375132643231,
        4.618393730027135,
        4.618412327411039,
        4.61843140165094,
        4.618449999034844,
        4.618468596418748,
        4.6184876706586495,
        4.6185062680425535,
        4.6185248654264575,
        4.618543462810361,
        4.618562537050263,
        4.618581134434167,
        4.618599731818071,
        4.618618806057972,
        4.618637403441876,
        4.61865600082578,
        4.618674598209683,
        4.618693672449585,
        4.618712269833488,
        4.618730867217392,
        4.618749941457294,
        4.618768538841198,
        4.618787136225102,
        4.618805733609006,
        4.618824807848907,
        4.618843405232811,
        4.618862002616715,
        4.618880600000619,
        4.61889967424052,
        4.618918271624424,
        4.618936869008328,
        4.618955466392232,
        4.618974063776136,
        4.618993138016037,
        4.619011735399941,
        4.619030332783845,
        4.619048930167749,
        4.619068004407651,
        4.619086601791555,
        4.619105199175458,
        4.619123796559362,
        4.619142393943266,
        4.619161468183167,
        4.619180065567071,
        4.619198662950975,
        4.619217260334879,
        4.619235857718783,
        4.619254455102687,
        4.619273529342588,
        4.619292126726492,
        4.619310724110396,
        4.6193293214943,
        4.619347918878204,
        4.619366516262107,
        4.619385590502009,
        4.6194041878859124,
        4.619422785269816,
        4.61944138265372,
        4.619459980037624,
        4.619478577421528,
        4.619497174805432,
        4.619516249045334,
        4.619534846429238,
        4.619553443813142,
        4.619572041197046,
        4.6195906385809495,
        4.6196092359648535,
        4.619627833348757,
        4.619646430732661,
        4.619665504972562,
        4.619684102356466,
        4.61970269974037,
        4.619721297124274,
        4.619739894508178,
        4.619758491892082,
        4.619777089275986,
        4.61979568665989,
        4.619814284043794,
        4.619832881427698,
        4.619851478811601,
        4.619870553051503,
        4.619889150435406,
        4.61990774781931,
        4.619926345203214,
        4.619944942587118,
        4.619963539971022,
        4.619982137354926,
        4.62000073473883,
        4.620019332122734,
        4.620037929506638,
        4.620056526890542,
        4.620075124274445,
        4.620093721658349,
        4.620112319042253,
        4.620130916426157,
        4.620149513810061,
        4.620168111193965,
        4.620186708577869,
        4.620205305961773,
        4.620223903345677,
        4.620242500729581,
        4.620261098113484,
        4.620279695497388,
        4.620298292881292,
        4.620316890265196,
        4.6203354876491,
        4.620354085033004,
        4.620372682416908,
        4.6203912798008115,
        4.6204098771847155,
        4.6204284745686195,
        4.620447071952523,
        4.6204656693364266,
        4.6204842667203305,
        4.6205028641042345,
        4.6205214614881385,
        4.620540058872042,
        4.620558656255946,
        4.62057725363985,
        4.620595851023754,
        4.620614448407658,
        4.620633045791561,
        4.620651643175465,
        4.620670240559369,
        4.620688837943273,
        4.62070695847118,
        4.620725555855084,
        4.620744153238988,
        4.620762750622892,
        4.620781348006795,
        4.620799945390699,
        4.620818542774603,
        4.620837140158507,
        4.620855737542411,
        4.620874334926315,
        4.620892932310219,
        4.620911529694123,
        4.6209296502220285,
        4.6209482476059325,
        4.6209668449898365,
        4.62098544237374,
        4.621004039757644,
        4.621022637141548,
        4.621041234525452,
        4.621059831909356,
        4.621077952437262,
        4.621096549821166,
        4.62111514720507,
        4.621133744588974,
        4.621152341972878,
        4.621170939356782,
        4.621189536740686,
        4.6212076572685925,
        4.621226254652496,
        4.6212448520364,
        4.6212634494203035,
        4.6212820468042075,
        4.6213006441881115,
        4.621318764716018,
        4.621337362099922,
        4.621355959483826,
        4.621374556867729,
        4.621393154251633,
        4.62141127477954,
        4.621429872163444,
        4.621448469547348,
        4.621467066931252,
        4.621485664315156,
        4.621503784843061,
        4.621522382226965,
        4.621540979610869,
        4.621559576994773,
        4.621578174378677,
        4.621596294906584,
        4.621614892290488,
        4.621633489674391,
        4.621652087058295,
        4.6216702075862015,
        4.6216888049701055,
        4.6217074023540095,
        4.621725999737913,
        4.621744120265819,
        4.621762717649723,
        4.621781315033627,
        4.621799912417531,
        4.621818032945438,
        4.621836630329342,
        4.621855227713246,
        4.62187382509715,
        4.621891945625055,
        4.621910543008959,
        4.621929140392863,
        4.621947737776767,
        4.621965858304674,
        4.621984455688578,
        4.622003053072481,
        4.6220211736003876,
        4.6220397709842915,
        4.6220583683681955,
        4.622076488896102,
        4.622095086280006,
        4.622113683663909,
        4.622132281047813,
        4.62215040157572,
        4.622168998959624,
        4.622187596343528,
        4.622205716871434,
        4.622224314255337,
        4.622242911639241,
        4.622261032167148,
        4.622279629551052,
        4.622298226934956,
        4.622316347462863,
        4.622334944846766,
        4.62235354223067,
        4.622371662758576,
        4.62239026014248,
        4.622408380670387,
        4.622426978054291,
        4.622445575438194,
        4.6224636959661005,
        4.6224822933500045,
        4.6225008907339085,
        4.622519011261815,
        4.622537608645719,
        4.622555729173625,
        4.622574326557529,
        4.622592923941433,
        4.622611044469339,
        4.622629641853243,
        4.622648239237147,
        4.622666359765053,
        4.622684957148957,
        4.622703077676864,
        4.622721675060768,
        4.622739795588673,
        4.622758392972577,
        4.622776990356481,
        4.622795110884388,
        4.622813708268292,
        4.622831828796198,
        4.622850426180102,
        4.622868546708008,
        4.622887144091912,
        4.622905741475816,
        4.622923862003723,
        4.622942459387626,
        4.622960579915532,
        4.622979177299436,
        4.622997297827343,
        4.623015895211247,
        4.623034015739153,
        4.623052613123057,
        4.623070733650963,
        4.623089331034867,
        4.623107451562774,
        4.623126048946677,
        4.623144169474584,
        4.623162766858488,
        4.623180887386394,
        4.623199484770298,
        4.623217605298204,
        4.623236202682108,
        4.6232543232100145,
        4.6232729205939185,
        4.623291041121825,
        4.623309638505728,
        4.623327759033635,
        4.623346356417539,
        4.623364476945445,
        4.623383074329349,
        4.623401194857255,
        4.623419792241159,
        4.623437912769066,
        4.62345651015297,
        4.623474630680876,
        4.623493228064779,
        4.623511348592686,
        4.62352994597659,
        4.623548066504497,
        4.623566187032402,
        4.623584784416306,
        4.623602904944213,
        4.623621502328117,
        4.6236396228560235,
        4.6236582202399275,
        4.623676340767833,
        4.62369446129574,
        4.623713058679644,
        4.62373117920755,
        4.6237497765914535,
        4.62376789711936,
        4.623786017647267,
        4.623804615031171,
        4.623822735559076,
        4.62384133294298,
        4.623859453470887,
        4.623877573998794,
        4.623896171382698,
        4.623914291910603,
        4.623932889294507,
        4.623951009822414,
        4.6239691303503205,
        4.6239877277342245,
        4.62400584826213,
        4.624023968790037,
        4.624042566173941,
        4.6240606867018474,
        4.6240792840857505,
        4.624097404613657,
        4.624115525141564,
        4.624134122525468,
        4.6241522430533735,
        4.62417036358128,
        4.624188960965184,
        4.624207081493091,
        4.624225202020996,
        4.6242437994049,
        4.624261919932807,
        4.624280040460714,
        4.624298637844618,
        4.624316758372523,
        4.62433487890043,
        4.6243529994283366,
        4.6243715968122405,
        4.624389717340146,
        4.624407837868053,
        4.624426435251957,
        4.6244445557798635,
        4.624462676307769,
        4.624481273691673,
        4.62449939421958,
        4.624517514747486,
        4.624535635275392,
        4.624554232659296,
        4.624572353187203,
        4.624590473715109,
        4.624608594243015,
        4.624627191626919,
        4.624645312154826,
        4.624663432682732,
        4.624681553210638,
        4.624700150594542,
        4.624718271122449,
        4.624736391650355,
        4.624754512178261,
        4.624773109562165,
        4.6247912300900715,
        4.624809350617978,
        4.624827471145884,
        4.624846068529788,
        4.6248641890576945,
        4.624882309585601,
        4.624900430113507,
        4.624918550641413,
        4.624937148025317,
        4.624955268553224,
        4.62497338908113,
        4.624991509609036,
        4.625009630136943,
        4.625028227520847,
        4.625046348048753,
        4.625064468576659,
        4.625082589104566,
        4.625100709632472,
        4.625119307016376,
        4.625137427544282,
        4.625155548072189,
        4.625173668600095,
        4.625191789128001,
        4.625209909655908,
        4.625228507039812,
        4.6252466275677175,
        4.625264748095624,
        4.625282868623531,
        4.6253009891514365,
        4.625319109679343,
        4.62533723020725,
        4.625355827591154,
        4.625373948119059,
        4.625392068646966,
        4.625410189174873,
        4.625428309702778,
        4.625446430230685,
        4.625464550758592,
        4.625482671286498,
        4.625701071333369,
        4.6257191918612754,
        4.625737312389182,
        4.625755432917088,
        4.625773553444994,
        4.625791673972901,
        4.625809794500808,
        4.625827915028713,
        4.62584603555662,
        4.625864156084527,
        4.625882276612432,
        4.625900397140339,
        4.625918517668246,
        4.625936638196151,
        4.625954758724058,
        4.6259728792519645,
        4.625990999779871,
        4.626009120307777,
        4.6260272408356835,
        4.62604536136359,
        4.626063481891496,
        4.626190802442838,
        4.626208446114747,
        4.626226566642654,
        4.626244687170559,
        4.626262807698466,
        4.626280928226373,
        4.626299048754278,
        4.626317169282185,
        4.626335289810092,
        4.626353410337997,
        4.626371530865904,
        4.6263896513938105,
        4.626407771921717,
        4.626425892449623,
        4.6264440129775295,
        4.626462133505436,
        4.626480254033342,
        4.6264983745612485,
        4.626516495089155,
        4.626534615617061,
        4.626552736144967,
        4.626570856672874,
        4.626588977200781,
        4.626607097728686,
        4.626624741400596,
        4.626642861928501,
        4.626660982456408,
        4.626679102984315,
        4.626697223512221,
        4.626715344040127,
        4.626733464568034,
        4.62675158509594,
        4.626769705623846,
        4.6267878261517525,
        4.626805469823662,
        4.6268235903515675,
        4.626841710879474,
        4.626859831407381,
        4.6268779519352865,
        4.626896072463193,
        4.6269141929911,
        4.6269323135190055,
        4.626949957190915,
        4.626968077718821,
        4.626986198246727,
        4.627004318774634,
        4.62702243930254,
        4.627040559830446,
        4.627058680358353,
        4.627076324030262,
        4.627094444558168,
        4.627112565086074,
        4.627130685613981,
        4.627148806141887,
        4.627166926669793,
        4.6271845703417025,
        4.627202690869608,
        4.627220811397515,
        4.6272389319254215,
        4.627257052453327,
        4.627275172981234,
        4.627292816653143,
        4.627310937181049,
        4.627329057708955,
        4.627347178236862,
        4.627365298764768,
        4.627382942436677,
        4.627401062964584,
        4.627419183492489,
        4.627437304020396,
        4.627454947692304,
        4.627473068220211,
        4.627491188748118,
        4.627509309276024,
        4.62752742980393,
        4.627545073475839,
        4.627563194003745,
        4.627581314531652,
        4.627599435059558,
        4.6276170787314665,
        4.627635199259373,
        4.62765331978728,
        4.6276714403151855,
        4.627689083987095,
        4.627707204515001,
        4.627725325042907,
        4.627743445570814,
        4.627761089242722,
        4.627779209770629,
        4.627797330298535,
        4.627814973970444,
        4.62783309449835,
        4.627851215026257,
        4.627869335554163,
        4.627886979226072,
        4.627905099753979,
        4.627923220281884,
        4.627940863953794,
        4.6279589844817,
        4.627977105009606,
        4.627994748681515,
        4.628012869209421,
        4.6280309897373275,
        4.628048633409237,
        4.6280667539371425,
        4.628084874465049,
        4.628102518136958,
        4.628120638664864,
        4.628138759192771,
        4.628156402864679,
        4.628174523392586,
        4.628192643920492,
        4.628210287592401,
        4.628228408120307,
        4.628246528648214,
        4.628264172320122,
        4.628282292848029,
        4.628300413375936,
        4.628318057047844,
        4.6283361775757506,
        4.628353821247659,
        4.6283719417755655,
        4.628390062303472,
        4.6284077059753805,
        4.628425826503287,
        4.628443947031194,
        4.628461590703102,
        4.628479711231009,
        4.628497354902917,
        4.628515475430824,
        4.62853359595873,
        4.628551239630639,
        4.628569360158545,
        4.628587003830454,
        4.62860512435836,
        4.628623244886267,
        4.628640888558175,
        4.628659009086082,
        4.62867665275799,
        4.628694773285897,
        4.628712416957806,
        4.628730537485712,
        4.628748181157621,
        4.628766301685527,
        4.628784422213434,
        4.628802065885343,
        4.6288201864132485,
        4.628837830085158,
        4.628855950613064,
        4.628873594284973,
        4.628891714812879,
        4.628909358484788,
        4.628927479012694,
        4.628945122684603,
        4.628963243212509,
        4.628980886884419,
        4.628999007412324,
        4.629017127940231,
        4.62903477161214,
        4.629052892140046,
        4.629070535811955,
        4.629088656339861,
        4.62910630001177,
        4.629124420539677,
        4.629142064211585,
        4.629160184739492,
        4.6291778284114,
        4.6291954720833095,
        4.629213592611216,
        4.6292312362831245,
        4.629249356811031,
        4.6292670004829395,
        4.629285121010846,
        4.6293027646827545,
        4.629320885210661,
        4.62933852888257,
        4.629356649410476,
        4.629374293082385,
        4.629392413610291,
        4.6294100572822,
        4.629427700954109,
        4.629445821482015,
        4.629463465153925,
        4.62948158568183,
        4.62949922935374,
        4.629517349881646,
        4.629534993553555,
        4.629553114081461,
        4.62957075775337,
        4.629588401425279,
        4.629606521953185,
        4.629624165625094,
        4.629642286153,
        4.629659929824909,
        4.629677573496818,
        4.629695694024724,
        4.629713337696633,
        4.629731458224539,
        4.629749101896448,
        4.629766745568356,
        4.629784866096263,
        4.629802509768172,
        4.629820153440081,
        4.629838273967987,
        4.629855917639896,
        4.629874038167802,
        4.629891681839712,
        4.62990932551162,
        4.6299274460395266,
        4.629945089711435,
        4.629962733383344,
        4.62998085391125,
        4.629998497583159,
        4.6300161412550676,
        4.630034261782974,
        4.630051905454883,
        4.630069549126792,
        4.630087669654698,
        4.630105313326607,
        4.630122956998516,
        4.630141077526423,
        4.630158721198331,
        4.630176364870239,
        4.630194485398146,
        4.630212129070055,
        4.630229772741964,
        4.63024789326987,
        4.630265536941779,
        4.630283180613688,
        4.630300824285596,
        4.630318944813503,
        4.630336588485412,
        4.630354232157321,
        4.630372352685227,
        4.6303899963571356,
        4.630407640029045,
        4.630425283700953,
        4.63044340422886,
        4.630461047900768,
        4.630478691572677,
        4.630496812100584,
        4.630514455772492,
        4.630532099444402,
        4.63054974311631,
        4.630567863644217,
        4.630585507316125,
        4.630603150988034,
        4.630620794659943,
        4.630638915187849,
        4.630656558859758,
        4.630674202531667,
        4.630691846203575,
        4.630709489875485,
        4.630727610403391,
        4.6307452540753,
        4.630762897747209,
        4.630780541419117,
        4.630798661947024,
        4.630816305618932,
        4.6308339492908415,
        4.63085159296275,
        4.630869236634659,
        4.630887357162566,
        4.630905000834474,
        4.630922644506383,
        4.630940288178292,
        4.630957931850201,
        4.630975575522109,
        4.630993696050016,
        4.631011339721924,
        4.631028983393834,
        4.631046627065742,
        4.631064270737651,
        4.63108191440956,
        4.631100034937466,
        4.631117678609375,
        4.631135322281284,
        4.631152965953192,
        4.6311706096251015,
        4.63118825329701,
        4.6312063738249165,
        4.631224017496826,
        4.631241661168734,
        4.631259304840643,
        4.631276948512552,
        4.631294592184461,
        4.631312235856369,
        4.631329879528279,
        4.631348000056184,
        4.631365643728094,
        4.631383287400002,
        4.631400931071911,
        4.63141857474382,
        4.631436218415729,
        4.631453862087637,
        4.631471505759547,
        4.631489149431455,
        4.631506793103364,
        4.63152491363127,
        4.631542557303179,
        4.631560200975088,
        4.631577844646997,
        4.631595488318905,
        4.6316131319908145,
        4.631630775662723,
        4.631648419334632,
        4.6316660630065405,
        4.63168370667845,
        4.631701350350358,
        4.631718994022267,
        4.631736637694176,
        4.631754281366085,
        4.631771925037993,
        4.6317900455659,
        4.631807689237808,
        4.631825332909718,
        4.631842976581626,
        4.631860620253535,
        4.631878263925444,
        4.631895907597353,
        4.631913551269261,
        4.631931194941171,
        4.631948838613079,
        4.631966482284988,
        4.631984125956897,
        4.632001769628806,
        4.632019413300714,
        4.6320370569726235,
        4.632054700644532,
        4.632072344316441,
        4.6320899879883495,
        4.632107631660259,
        4.632125275332167,
        4.632142919004076,
        4.632160562675985,
        4.632178206347894,
        4.632195850019802,
        4.632213493691712,
        4.63223113736362,
        4.632248781035529,
        4.632266424707438,
        4.63228359152335,
        4.632301235195258,
        4.632318878867167,
        4.632336522539076,
        4.632354166210985,
        4.632371809882893,
        4.6323894535548025,
        4.632407097226711,
        4.63242474089862,
        4.6324423845705285,
        4.632460028242438,
        4.632477671914346,
        4.632495315586255,
        4.632512959258164,
        4.632530602930073,
        4.632547769745984,
        4.632565413417892,
        4.632583057089802,
        4.63260070076171,
        4.632618344433619,
        4.632635988105528,
        4.632653631777437,
        4.632671275449345,
        4.632688919121255,
        4.632706562793163,
        4.632723729609075,
        4.632741373280983,
        4.6327590169528925,
        4.632776660624801,
        4.63279430429671,
        4.6328119479686185,
        4.632829591640528,
        4.632847235312436,
        4.632864402128347,
        4.632882045800256,
        4.632899689472165,
        4.632917333144074,
        4.632934976815982,
        4.632952620487892,
        4.6329702641598,
        4.632987430975712,
        4.63300507464762,
        4.63302271831953,
        4.633040361991438,
        4.633058005663347,
        4.633075172479258,
        4.633092816151167,
        4.633110459823076,
        4.633128103494984,
        4.6331457471668935,
        4.633163390838802,
        4.633180557654714,
        4.633198201326622,
        4.6332158449985315,
        4.63323348867044,
        4.633251132342349,
        4.63326829915826,
        4.6332859428301685,
        4.633303586502078,
        4.633321230173986,
        4.633338873845895,
        4.633356040661806,
        4.633549167340808,
        4.63356633415672,
        4.6335839778286285,
        4.633601621500538,
        4.633619265172446,
        4.633636431988357,
        4.633654075660266,
        4.633671719332175,
        4.633688886148087,
        4.633706529819995,
        4.633724173491904,
        4.633741817163813,
        4.633758983979724,
        4.633776627651633,
        4.633794271323541,
        4.633811438139453,
        4.633829081811362,
        4.633846725483271,
        4.633863892299182,
        4.63388153597109,
        4.633899179643,
        4.633916823314908,
        4.63393399013082,
        4.633951633802728,
        4.6339692774746375,
        4.6339864442905485,
        4.634004087962458,
        4.634021731634366,
        4.634038898450277,
        4.634056542122186,
        4.634074185794095,
        4.634091352610007,
        4.634108996281915,
        4.634126163097826,
        4.634143806769735,
        4.634161450441644,
        4.634178617257556,
        4.634196260929464,
        4.634213904601373,
        4.634231071417284,
        4.634248715089193,
        4.634266358761102,
        4.634283525577013,
        4.634301169248922,
        4.634318336064833,
        4.6343359797367425,
        4.634353623408651,
        4.634370790224562,
        4.634388433896471,
        4.634405600712382,
        4.634423244384291,
        4.6344408880562,
        4.634458054872111,
        4.63447569854402,
        4.634492865359931,
        4.63451050903184,
        4.634528152703749,
        4.63454531951966,
        4.634562963191569,
        4.63458013000748,
        4.634597773679389,
        4.6346149404953,
        4.63463258416721,
        4.634649750983121,
        4.634667394655029,
        4.634685038326938,
        4.634702205142849,
        4.6347198488147585,
        4.6347370156306695,
        4.634754659302578,
        4.63477182611849,
        4.634789469790398,
        4.634806636606309,
        4.6348242802782185,
        4.6348414470941295,
        4.634859090766039,
        4.63487625758195,
        4.634893901253859,
        4.63491106806977,
        4.634928711741678,
        4.634946355413588,
        4.634963522229499,
        4.634981165901408,
        4.634998332717319,
        4.635015976389227,
        4.635033143205139,
        4.63505031002105,
        4.635067953692959,
        4.635085120508871,
        4.635102764180779,
        4.635119930996691,
        4.635137574668599,
        4.63515474148451,
        4.6351723851564195,
        4.6351895519723305,
        4.63520719564424,
        4.635224362460151,
        4.635242006132059,
        4.635259172947971,
        4.6352768166198794,
        4.6352939834357905,
        4.635311150251702,
        4.635328793923611,
        4.635345960739523,
        4.635363604411431,
        4.635380771227342,
        4.635398414899251,
        4.635415581715162,
        4.635433225387072,
        4.635450392202983,
        4.635467559018894,
        4.635485202690803,
        4.635502369506714,
        4.635520013178623,
        4.635537179994534,
        4.635554346810445,
        4.6355719904823545,
        4.6355891572982655,
        4.635606800970174,
        4.635623967786086,
        4.635641134601997,
        4.635658778273905,
        4.635675945089817,
        4.635693588761725,
        4.637172080782085,
        4.6387201937780835,
        4.638741175441975,
        4.6387616802498695,
        4.638782185057763,
        4.6388031667216545,
        4.638823671529549,
        4.638844176337443,
        4.6388646811453365,
        4.638885662809228,
        4.638906167617122,
        4.638926672425017,
        4.638947654088908,
        4.638968158896802,
        4.638988663704696,
        4.63900916851259,
        4.639030150176482,
        4.639050654984375,
        4.63907115979227,
        4.639091664600164,
        4.6391126462640555,
        4.639133151071949,
        4.639153655879843,
        4.6391741606877375,
        4.639195142351629,
        4.6392156471595225,
        4.639236151967417,
        4.639256656775311,
        4.639277161583205,
        4.639298143247096,
        4.63931864805499,
        4.639339152862885,
        4.639359657670779,
        4.639380639334671,
        4.639401144142564,
        4.639421648950458,
        4.639442153758353,
        4.639462658566246,
        4.639483640230138,
        4.639504145038032,
        4.639524649845926,
        4.63954515465382,
        4.639565659461714,
        4.639586164269608,
        4.6396071459335,
        4.639627650741393,
        4.6396481555492874,
        4.639668660357182,
        4.639689165165076,
        4.639709669972969,
        4.639730174780864,
        4.639751156444755,
        4.63977166125265,
        4.639792166060543,
        4.639812670868437,
        4.639833175676332,
        4.639853680484225,
        4.639874185292119,
        4.6398946901000135,
        4.639915671763905,
        4.6399361765717995,
        4.639956681379693,
        4.639977186187587,
        4.639997690995481,
        4.640018195803375,
        4.640038700611269,
        4.640059205419163,
        4.640079710227057,
        4.640100215034951,
        4.640120719842845,
        4.640141701506737,
        4.640162206314631,
        4.640182711122525,
        4.640203215930419,
        4.640223720738313,
        4.640244225546207,
        4.640264730354101,
        4.640285235161995,
        4.6403057399698895,
        4.640326244777783,
        4.640346749585677,
        4.6403672543935715,
        4.640387759201465,
        4.640408264009359,
        4.640428768817253,
        4.640449273625147,
        4.640469778433041,
        4.640490283240935,
        4.64051078804883,
        4.640531292856723,
        4.640551797664617,
        4.640572302472512,
        4.640592807280405,
        4.640613312088299,
        4.640633816896194,
        4.640654321704088,
        4.640674826511981,
        4.6406953313198755,
        4.64071583612777,
        4.640736340935663,
        4.6407568457435575,
        4.640777350551452,
        4.640797855359346,
        4.6408183601672395,
        4.640838864975134,
        4.640859369783028,
        4.640879874590921,
        4.640900379398816,
        4.64092088420671,
        4.640941389014604,
        4.6409614169665,
        4.640981921774395,
        4.641002426582288,
        4.641022931390182,
        4.641043436198077,
        4.641063941005971,
        4.641084445813864,
        4.6411049506217585,
        4.641125455429653,
        4.641145960237546,
        4.6411664650454405,
        4.641186492997337,
        4.641206997805231,
        4.641227502613125,
        4.641248007421019,
        4.641268512228913,
        4.641289017036807,
        4.641309521844701,
        4.641330026652596,
        4.641513616211647,
        4.64153412101954,
        4.6415546258274345,
        4.641575130635329,
        4.641595635443222,
        4.641615663395119,
        4.641636168203013,
        4.641656673010907,
        4.641677177818801,
        4.641697682626695,
        4.641717710578591,
        4.641738215386486,
        4.64175872019438,
        4.641779225002273,
        4.641799729810168,
        4.641819757762065,
        4.641840262569958,
        4.641860767377852,
        4.6418812721857465,
        4.641901300137643,
        4.641921804945537,
        4.641942309753431,
        4.6419628145613245,
        4.6419828425132215,
        4.642003347321116,
        4.642023852129009,
        4.642044356936903,
        4.6420643848888,
        4.642084889696694,
        4.642105394504588,
        4.642125899312482,
        4.642145927264378,
        4.642166432072273,
        4.642186936880167,
        4.64220744168806,
        4.642227469639957,
        4.6422479744478515,
        4.642268479255745,
        4.642288507207642,
        4.642309012015536,
        4.6423295168234295,
        4.6423495447753265,
        4.64237004958322,
        4.642390554391114,
        4.642410582343011,
        4.6424310871509045,
        4.642451591958799,
        4.642471619910696,
        4.642492124718589,
        4.642512629526483,
        4.64253265747838,
        4.642553162286274,
        4.642573667094168,
        4.642593695046064,
        4.642614199853958,
        4.642634704661853,
        4.642654732613749,
        4.642675237421643,
        4.642695742229537,
        4.642715770181433,
        4.6427362749893275,
        4.642756302941224,
        4.642776807749118,
        4.642797312557012,
        4.642817340508908,
        4.642837845316802,
        4.642858350124697,
        4.642878378076593,
        4.642898882884487,
        4.642918910836384,
        4.642939415644277,
        4.642959443596174,
        4.642979948404069,
        4.643000453211962,
        4.643020481163859,
        4.643040985971752,
        4.643061013923649,
        4.6430815187315435,
        4.6431015466834396,
        4.643122051491334,
        4.643142556299228,
        4.643162584251124,
        4.643183089059018,
        4.6432031170109145,
        4.643223621818809,
        4.643243649770706,
        4.643264154578599,
        4.643284182530496,
        4.643304687338389,
        4.643324715290286,
        4.643345220098181,
        4.643365248050077,
        4.643385752857971,
        4.643405780809867,
        4.643426285617761,
        4.643446313569658,
        4.643466818377552,
        4.6434868463294485,
        4.643507351137343,
        4.643527379089239,
        4.643547883897133,
        4.643567911849029,
        4.6435884166569235,
        4.64360844460882,
        4.643628949416714,
        4.643648977368611,
        4.643669482176504,
        4.643689510128401,
        4.643710014936295,
        4.643730042888191,
        4.643750547696086,
        4.643770575647982,
        4.643790603599879,
        4.643811108407773,
        4.643831136359669,
        4.643851641167563,
        4.643871669119459,
        4.6438921739273535,
        4.6439122018792505,
        4.6439322298311465,
        4.643952734639041,
        4.643972762590937,
        4.643993267398831,
        4.644013295350727,
        4.644033323302624,
        4.644053828110518,
        4.644073856062414,
        4.644094360870309,
        4.644114388822205,
        4.644134416774102,
        4.644154921581996,
        4.644174949533892,
        4.644194977485789,
        4.644215482293682,
        4.644235510245579,
        4.6442560150534735,
        4.64427604300537,
        4.6442960709572665,
        4.64431657576516,
        4.644336603717057,
        4.644356631668953,
        4.644377136476847,
        4.644397164428744,
        4.64441719238064,
        4.644437697188534,
        4.64445772514043,
        4.644477753092327,
        4.644498257900222,
        4.644518285852118,
        4.644538313804015,
        4.644558818611908,
        4.644578846563805,
        4.644598874515701,
        4.644618902467598,
        4.644639407275491,
        4.644659435227388,
        4.644679463179284,
        4.6446999679871785,
        4.6447199959390755,
        4.6447400238909715,
        4.644760051842868,
        4.644780556650762,
        4.644800584602659,
        4.644820612554555,
        4.644840640506452,
        4.644861145314346,
        4.644881173266242,
        4.644901201218139,
        4.644921229170035,
        4.644941733977929,
        4.644961761929825,
        4.644981789881722,
        4.645001817833618,
        4.645022322641513,
        4.6450423505934095,
        4.645062378545306,
        4.6450824064972025,
        4.645102911305096,
        4.645122939256993,
        4.645142967208889,
        4.645162995160786,
        4.645183023112682,
        4.645203527920576,
        4.645223555872473,
        4.645243583824369,
        4.645263611776266,
        4.645283639728162,
        4.645304144536056,
        4.645324172487952,
        4.645344200439849,
        4.645364228391745,
        4.645384256343642,
        4.645404284295538,
        4.645424789103433,
        4.6454448170553295,
        4.645464845007226,
        4.6454848729591225,
        4.6455049009110185,
        4.6455249288629155,
        4.6455449568148115,
        4.645565461622706,
        4.645585489574602,
        4.645605517526499,
        4.645625545478395,
        4.645645573430292,
        4.645665601382188,
        4.645685629334085,
        4.645705657285981,
        4.645725685237878,
        4.645746190045772,
        4.645766217997668,
        4.645846329805254,
        4.645866357757151,
        4.645886385709047,
        4.645906413660944,
        4.64592644161284,
        4.645946469564737,
        4.645966497516633,
        4.645987002324527,
        4.646007030276423,
        4.64602705822832,
        4.646047086180216,
        4.646067114132113,
        4.646087142084009,
        4.646107170035906,
        4.646127197987802,
        4.646147225939699,
        4.646167253891596,
        4.646187281843492,
        4.646207309795389,
        4.646227337747285,
        4.646247365699182,
        4.646267393651078,
        4.646287421602975,
        4.646307449554871,
        4.646327477506768,
        4.646347505458664,
        4.646367533410561,
        4.646387561362457,
        4.646407589314354,
        4.64642761726625,
        4.646447645218147,
        4.646467673170043,
        4.64648770112194,
        4.646507729073836,
        4.646527757025733,
        4.646547784977629,
        4.646567812929526,
        4.646587840881422,
        4.6466078688333186,
        4.646627896785215,
        4.6466479247371115,
        4.646667952689008,
        4.6466879806409045,
        4.646707531736803,
        4.6467275596887,
        4.646747587640596,
        4.646767615592493,
        4.646787643544389,
        4.646807671496286,
        4.646827699448182,
        4.646847727400079,
        4.646867755351975,
        4.646887783303872,
        4.646907811255768,
        4.646927839207665,
        4.646947390303564,
        4.64696741825546,
        4.646987446207357,
        4.647007474159253,
        4.64702750211115,
        4.647047530063046,
        4.6470675580149425,
        4.647087585966839,
        4.647107137062738,
        4.647127165014634,
        4.647147192966531,
        4.647167220918427,
        4.647187248870324,
        4.64720727682222,
        4.647227304774117,
        4.647246855870016,
        4.647266883821913,
        4.647286911773809,
        4.647306939725706,
        4.647326967677602,
        4.647346995629499,
        4.647366546725397,
        4.647386574677293,
        4.64740660262919,
        4.647426630581086,
        4.647446658532983,
        4.64746668648488,
        4.647486237580779,
        4.647506265532675,
        4.647526293484572,
        4.647546321436468,
        4.647566349388365,
        4.6475859004842635,
        4.64760592843616,
        4.647625956388056,
        4.647645984339953,
        4.647665535435852,
        4.647685563387748,
        4.647705591339645,
        4.647725619291542,
        4.647745170387441,
        4.647765198339337,
        4.647785226291234,
        4.64780525424313,
        4.647824805339029,
        4.647844833290925,
        4.647864861242822,
        4.647884889194718,
        4.647904440290617,
        4.647924468242514,
        4.64794449619441,
        4.647964524146307,
        4.6479840752422055,
        4.648004103194102,
        4.648024131145998,
        4.648043682241898,
        4.648063710193794,
        4.648083738145691,
        4.648103766097587,
        4.648123317193486,
        4.648143345145383,
        4.648163373097279,
        4.648182924193178,
        4.648202952145074,
        4.648222980096971,
        4.64824253119287,
        4.648262559144767,
        4.648282587096663,
        4.6483021381925616,
        4.6483221661444585,
        4.6483421940963545,
        4.648361745192254,
        4.64838177314415,
        4.648401801096047,
        4.648421352191946,
        4.648441380143843,
        4.648460931239741,
        4.648480959191637,
        4.648500987143534,
        4.648520538239433,
        4.64854056619133,
        4.648560594143226,
        4.6485801452391255,
        4.648600173191022,
        4.64861972428692,
        4.648639752238817,
        4.648659780190713,
        4.648679331286613,
        4.648699359238509,
        4.6487189103344075,
        4.6487389382863045,
        4.6487589662382005,
        4.6487785173341,
        4.648798545285996,
        4.648818096381896,
        4.648838124333792,
        4.64885767542969,
        4.648877703381587,
        4.648897731333483,
        4.648917282429383,
        4.648937310381279,
        4.648956861477179,
        4.648976889429075,
        4.648996440524973,
        4.64901646847687,
        4.649036019572769,
        4.649056047524666,
        4.6490755986205645,
        4.649095626572461,
        4.6491156545243575,
        4.649135205620256,
        4.649155233572153,
        4.649174784668052,
        4.649194812619949,
        4.649214363715847,
        4.649234391667743,
        4.649253942763643,
        4.649273970715539,
        4.649293521811439,
        4.649313549763335,
        4.649333100859233,
        4.64935312881113,
        4.649372679907029,
        4.649392231002928,
        4.649412258954825,
        4.649431810050723,
        4.64955054719411,
        4.649570575146006,
        4.649590126241906,
        4.649609677337804,
        4.6496297052897,
        4.6496492563856,
        4.649669284337496,
        4.649688835433395,
        4.649708863385292,
        4.64972841448119,
        4.64974796557709,
        4.649767993528986,
        4.649787544624885,
        4.649807572576782,
        4.64982712367268,
        4.64984667476858,
        4.649866702720476,
        4.6498862538163745,
        4.6499062817682715,
        4.64992583286417,
        4.649945383960069,
        4.649965411911966,
        4.6499849630078645,
        4.650004990959761,
        4.65002454205566,
        4.650044093151559,
        4.650064121103456,
        4.650083672199354,
        4.650103223295254,
        4.65012325124715,
        4.650142802343049,
        4.650162353438948,
        4.650182381390844,
        4.650201932486743,
        4.6502214835826425,
        4.650241511534539,
        4.650261062630438,
        4.650280613726337,
        4.650300641678233,
        4.650320192774132,
        4.650339743870031,
        4.650359771821928,
        4.650379322917827,
        4.650398874013725,
        4.650418901965622,
        4.650438453061521,
        4.65045800415742,
        4.650477555253319,
        4.650497583205215,
        4.650517134301114,
        4.650536685397014,
        4.65055671334891,
        4.650576264444808,
        4.650595815540708,
        4.650615366636607,
        4.6506353945885035,
        4.650654945684402,
        4.650674496780301,
        4.6506940478762,
        4.6507140758280965,
        4.650733626923995,
        4.650753178019895,
        4.650772729115793,
        4.6507927570676895,
        4.650812308163589,
        4.650831859259488,
        4.650851410355386,
        4.650870961451286,
        4.650890989403182,
        4.650910540499081,
        4.65093009159498,
        4.650949642690879,
        4.650969193786778,
        4.650989221738675,
        4.651008772834573,
        4.651028323930473,
        4.6510478750263715,
        4.65106742612227,
        4.651087454074167,
        4.651107005170066,
        4.6511265562659645,
        4.651146107361864,
        4.651165658457763,
        4.651185686409659,
        4.651205237505558,
        4.651224788601457,
        4.651244339697356,
        4.651263890793255,
        4.651283441889154,
        4.651302992985053,
        4.65132302093695,
        4.651342572032848,
        4.651362123128747,
        4.6513816742246465,
        4.651401225320545,
        4.651420776416444,
        4.6514403275123435,
        4.651459878608242,
        4.651479906560138,
        4.651499457656038,
        4.6515190087519365,
        4.651538559847835,
        4.651558110943735,
        4.651577662039633,
        4.651597213135532,
        4.651616764231431,
        4.65163631532733,
        4.651655866423229,
        4.651675894375126,
        4.651695445471025,
        4.651714996566923,
        4.651734547662823,
        4.651754098758722,
        4.65177364985462,
        4.651793200950519,
        4.6518127520464185,
        4.651832303142317,
        4.651851854238216,
        4.6518714053341155,
        4.651890956430014,
        4.651910507525913,
        4.651930058621812,
        4.651949609717711,
        4.65196916081361,
        4.6519887119095085,
        4.652008263005408,
        4.652027814101307,
        4.652047842053204,
        4.652067393149102,
        4.652086944245001,
        4.652106495340901,
        4.652126046436799,
        4.652145597532698,
        4.652165148628597,
        4.652184699724496,
        4.652204250820395,
        4.652223801916294,
        4.652243353012193,
        4.6522624272520945,
        4.652281978347993,
        4.652301529443892,
        4.652321080539791,
        4.65234063163569,
        4.652360182731589,
        4.652379733827488,
        4.652399284923387,
        4.652418836019286,
        4.652438387115185,
        4.652457938211084,
        4.652477489306983,
        4.652497040402881,
        4.652516591498781,
        4.65253614259468,
        4.652555693690578,
        4.652575244786478,
        4.652594795882377,
        4.652614346978275,
        4.652633898074175,
        4.652652972314076,
        4.652672523409975,
        4.6526920745058735,
        4.652711625601773,
        4.652731176697672,
        4.6527507277935705,
        4.65277027888947,
        4.652789829985369,
        4.652809381081267,
        4.652828455321169,
        4.652848006417068,
        4.652867557512967,
        4.652887108608866,
        4.652906659704764,
        4.652926210800664,
        4.652945761896563,
        4.652965312992461,
        4.652984387232363,
        4.653003938328262,
        4.653023489424161,
        4.65304304052006,
        4.653062591615959,
        4.653082142711858,
        4.6531016938077565,
        4.653120768047658,
        4.653140319143557,
        4.653159870239456,
        4.653179421335355,
        4.653198972431254,
        4.653218046671156,
        4.653237597767054,
        4.653257148862953,
        4.653276699958853,
        4.653296251054751,
        4.65331580215065,
        4.653334876390551,
        4.653354427486451,
        4.65337397858235,
        4.653393529678248,
        4.65341260391815,
        4.653432155014049,
        4.653451706109948,
        4.6534712572058465,
        4.653490808301746,
        4.653509882541647,
        4.653529433637546,
        4.653548984733445,
        4.653568535829344,
        4.653587610069246,
        4.653607161165144,
        4.653626712261043,
        4.653646263356943,
        4.653665337596844,
        4.653684888692743,
        4.653704439788641,
        4.653723990884541,
        4.653743065124442,
        4.653762616220341,
        4.65378216731624,
        4.653801241556141,
        4.6538207926520405,
        4.653840343747939,
        4.653859894843838,
        4.653878969083739,
        4.653898520179639,
        4.6539180712755375,
        4.653937145515439,
        4.653956696611338,
        4.653976247707237,
        4.653995321947138,
        4.654014873043037,
        4.654034424138937,
        4.654053498378838,
        4.654073049474737,
        4.654092600570635,
        4.654111674810537,
        4.654131225906436,
        4.654150777002335,
        4.654169851242236,
        4.654189402338135,
        4.6542089534340345,
        4.654228027673936,
        4.6542475787698345,
        4.654267129865733,
        4.6542862041056345,
        4.654305755201534,
        4.654325306297433,
        4.654344380537334,
        4.654363931633233,
        4.654383005873135,
        4.654402556969034,
        4.654422108064932,
        4.654441182304834,
        4.654460733400733,
        4.654479807640635,
        4.654499358736533,
        4.654518909832432,
        4.654537984072333,
        4.654557535168233,
        4.654576609408134,
        4.654596160504033,
        4.654615711599932,
        4.654634785839834,
        4.6546543369357325,
        4.654673411175634,
        4.6546929622715325,
        4.654712036511434,
        4.654731587607333,
        4.654751138703232,
        4.654770212943133,
        4.654789764039032,
        4.654808838278933,
        4.654828389374833,
        4.654847463614734,
        4.654867014710633,
        4.654886088950534,
        4.654905640046434,
        4.654924714286335,
        4.654944265382234,
        4.654963339622135,
        4.654982890718034,
        4.655001964957936,
        4.655021516053835,
        4.655040590293736,
        4.655060141389635,
        4.655079215629536,
        4.655098766725436,
        4.655117840965337,
        4.655137392061236,
        4.655156466301137,
        4.655176017397036,
        4.655195091636938,
        4.655214642732837,
        4.655233716972738,
        4.655253268068637,
        4.655272342308538,
        4.655291893404438,
        4.655310967644339,
        4.655330518740238,
        4.655349592980139,
        4.6553691440760385,
        4.65538821831594,
        4.655407292555841,
        4.65542684365174,
        4.655445917891641,
        4.65546546898754,
        4.655484543227442,
        4.655504094323341,
        4.655523168563242,
        4.655542242803143,
        4.655561793899042,
        4.6555808681389435,
        4.655600419234843,
        4.655619493474744,
        4.655638567714646,
        4.655658118810544,
        4.655677193050446,
        4.655696744146345,
        4.655715818386247,
        4.655734892626148,
        4.655754443722047,
        4.655773517961948,
        4.6557930690578475,
        4.655812143297749,
        4.65583121753765,
        4.655850768633549,
        4.65586984287345,
        4.6558889171133515,
        4.655908468209251,
        4.655927542449152,
        4.655946616689054,
        4.655966167784952,
        4.655985242024854,
        4.656004793120753,
        4.656023867360655,
        4.656042941600556,
        4.656062492696455,
        4.656081566936356,
        4.656100641176257,
        4.656119715416159,
        4.656139266512058,
        4.65615834075196,
        4.656177414991861,
        4.65619696608776,
        4.656216040327661,
        4.656235114567562,
        4.656254665663462,
        4.656273739903363,
        4.6562928141432645,
        4.656311888383166,
        4.6563314394790645,
        4.656350513718966,
        4.656369587958868,
        4.656389139054767,
        4.656408213294668,
        4.656427287534569,
        4.656446361774471,
        4.656465912870369,
        4.656484987110272,
        4.656504061350173,
        4.656523135590074,
        4.656542686685973,
        4.656561760925874,
        4.656580835165776,
        4.656599909405677,
        4.6566194605015765,
        4.656638534741478,
        4.656657608981379,
        4.6566766832212805,
        4.656696234317179,
        4.6567153085570805,
        4.656734382796982,
        4.656753457036884,
        4.656772531276785,
        4.656792082372684,
        4.656811156612585,
        4.656830230852487,
        4.656849305092388,
        4.656868379332289,
        4.656887930428189,
        4.65690700466809,
        4.656926078907992,
        4.656945153147893,
        4.656964227387794,
        4.656983301627696,
        4.657002852723595,
        4.6570219269634965,
        4.657041001203398,
        4.657060075443299,
        4.6570791496832005,
        4.657098223923102,
        4.6571177750190005,
        4.657136849258902,
        4.657155923498804,
        4.657174997738705,
        4.657194071978607,
        4.657213146218508,
        4.657232220458409,
        4.657251771554308,
        4.657270845794209,
        4.657289920034111,
        4.657308994274013,
        4.657328068513914,
        4.657347142753816,
        4.657366216993717,
        4.657385291233618,
        4.6574043654735195,
        4.657423916569418,
        4.65744299080932,
        4.657462065049222,
        4.657481139289123,
        4.657500213529024,
        4.657519287768926,
        4.657538362008827,
        4.657557436248728,
        4.65757651048863,
        4.657595584728531,
        4.657614658968432,
        4.657633733208335,
        4.657652807448236,
        4.657672358544135,
        4.657691432784036,
        4.657710507023937,
        4.657729581263839,
        4.65774865550374,
        4.657767729743641,
        4.6577868039835435,
        4.657805878223445,
        4.657824952463346,
        4.6578440267032475,
        4.657863100943149,
        4.65788217518305,
        4.6579012494229515,
        4.657920323662853,
        4.657939397902754,
        4.6579584721426555,
        4.657977546382558,
        4.657996620622459,
        4.65801569486236,
        4.658034769102262,
        4.658053843342163,
        4.658072917582064,
        4.658091991821966,
        4.658111066061867,
        4.658130140301768,
        4.6581492145416705,
        4.658168288781572,
        4.658187363021473,
        4.6582064372613745,
        4.658225511501276,
        4.658244585741177,
        4.6582636599810785,
        4.65828273422098,
        4.658301331604884,
        4.658320405844785,
        4.6583394800846865,
        4.658358554324588,
        4.65837762856449,
        4.658396702804391,
        4.658415777044293,
        4.658434851284194,
        4.658453925524095,
        4.658472999763997,
        4.658492074003898,
        4.658511148243799,
        4.658530222483701,
        4.658549296723602,
        4.658567894107506,
        4.658586968347407,
        4.6586060425873095,
        4.658625116827211,
        4.658644191067112,
        4.6586632653070135,
        4.658682339546915,
        4.658701413786816,
        4.6587204880267175,
        4.658739085410621,
        4.658758159650523,
        4.658777233890424,
        4.658796308130325,
        4.658815382370227,
        4.658834456610129,
        4.65885353085003,
        4.658872128233934,
        4.658891202473836,
        4.658910276713737,
        4.658929350953638,
        4.65894842519354,
        4.658967499433441,
        4.658986096817345,
        4.659005171057246,
        4.6590242452971475,
        4.659043319537049,
        4.65906239377695,
        4.659081468016852,
        4.6591000654007555,
        4.659119139640658,
        4.659138213880559,
        4.65915728812046,
        4.659176362360362,
        4.659194959744266,
        4.659214033984167,
        4.659233108224068,
        4.65925218246397,
        4.659270779847874,
        4.659289854087775,
        4.659308928327676,
        4.659328002567578,
        4.659347076807479,
        4.659365674191383,
        4.659384748431284,
        4.659403822671186,
        4.659422896911088,
        4.659441494294991,
        4.659460568534893,
        4.659479642774794,
        4.659498717014696,
        4.6595173143986,
        4.659536388638501,
        4.659555462878402,
        4.659574537118304,
        4.659593134502208,
        4.659612208742109,
        4.65963128298201,
        4.659649880365914,
        4.659668954605816,
        4.659688028845717,
        4.659707103085618,
        4.659725700469522,
        4.659744774709424,
        4.659763848949325,
        4.659782446333229,
        4.65980152057313,
        4.6598205948130325,
        4.6598391921969355,
        4.659858266436838,
        4.659877340676739,
        4.659895938060643,
        4.659915012300544,
        4.659934086540446,
        4.65995268392435,
        4.659971758164251,
        4.659990832404152,
        4.660009429788056,
        4.660028504027958,
        4.660047578267859,
        4.660066175651763,
        4.660085249891664,
        4.660104324131566,
        4.66012292151547,
        4.660141995755371,
        4.660161069995272,
        4.660179667379176,
        4.6601987416190775,
        4.6602173390029815,
        4.660236413242883,
        4.660255487482784,
        4.660274084866688,
        4.6602931591065895,
        4.660312233346491,
        4.660330830730395,
        4.660349904970296,
        4.6603685023542,
        4.660387576594101,
        4.660406173978005,
        4.660425248217907,
        4.660444322457808,
        4.660462919841712,
        4.660481994081613,
        4.660500591465517,
        4.660519665705419,
        4.660538263089323,
        4.660557337329224,
        4.660576411569126,
        4.660595008953029,
        4.6606140831929315,
        4.6606326805768346,
        4.660651754816737,
        4.66067035220064,
        4.660689426440542,
        4.660708023824445,
        4.660727098064347,
        4.660746172304249,
        4.660764769688153,
        4.660783843928054,
        4.660802441311958,
        4.660821515551859,
        4.660840112935763,
        4.660859187175665,
        4.660877784559569,
        4.66089685879947,
        4.660915456183374,
        4.660934530423275,
        4.660953127807179,
        4.6609722020470805,
        4.6609907994309845,
        4.661009873670886,
        4.66102847105479,
        4.661047545294691,
        4.661066142678595,
        4.661084740062499,
        4.6611038143024,
        4.661197754933915,
        4.661216829173816,
        4.66123542655772,
        4.661254500797622,
        4.661273098181526,
        4.661291695565429,
        4.661310769805331,
        4.661329367189234,
        4.661348441429136,
        4.661367038813039,
        4.6613861130529415,
        4.661404710436845,
        4.6614233078207485,
        4.66144238206065,
        4.661460979444554,
        4.661480053684455,
        4.661498651068359,
        4.661517248452263,
        4.6615363226921644,
        4.661554920076068,
        4.66157399431597,
        4.661592591699874,
        4.661611189083778,
        4.661630263323679,
        4.661648860707583,
        4.661667934947484,
        4.661686532331388,
        4.661705129715292,
        4.661724203955194,
        4.661742801339098,
        4.6617613987230015,
        4.661780472962903,
        4.661799070346807,
        4.661817667730711,
        4.661836741970612,
        4.661855339354516,
        4.66187393673842,
        4.661893010978321,
        4.661911608362225,
        4.661930205746129,
        4.661949279986031,
        4.661967877369935,
        4.661986474753839,
        4.66200554899374,
        4.662024146377644,
        4.662042743761547,
        4.662061818001449,
        4.662080415385352,
        4.662099012769256,
        4.6621180870091585,
        4.662136684393062,
        4.662155281776966,
        4.66217387916087,
        4.662192953400771,
        4.662211550784675,
        4.662230148168579,
        4.66224922240848,
        4.662267819792384,
        4.662286417176288,
        4.662305014560192,
        4.662324088800093,
        4.662342686183997,
        4.662361283567901,
        4.662379880951805,
        4.662398955191707,
        4.662417552575611,
        4.662436149959515,
        4.662454747343419,
        4.66247382158332,
        4.662492418967224,
        4.662511016351127,
        4.662529613735031,
        4.662548211118935,
        4.662567285358836,
        4.66258588274274,
        4.662604480126644,
        4.662623077510548,
        4.6626421517504495,
        4.6626607491343535,
        4.662679346518257,
        4.662697943902161,
        4.662716541286065,
        4.662735615525967,
        4.662754212909871,
        4.662772810293775,
        4.662791407677679,
        4.662810005061582,
        4.662828602445486,
        4.662847676685387,
        4.662866274069291,
        4.662884871453195,
        4.662903468837099,
        4.662922066221003,
        4.662940663604907,
        4.662959737844808,
        4.662978335228712,
        4.662996932612616,
        4.66301552999652,
        4.663034127380424,
        4.663052724764328,
        4.663071322148231,
        4.663090396388133,
        4.6631089937720365,
        4.66312759115594,
        4.663146188539844,
        4.663164785923748,
        4.663183383307652,
        4.663201980691556,
        4.66322057807546,
        4.663239652315362,
        4.663258249699266,
        4.66327684708317,
        4.663295444467074,
        4.6633140418509775,
        4.663332639234881,
        4.663351236618785,
        4.663369834002689,
        4.6633884313865925,
        4.6634070287704965,
        4.6634256261544005,
        4.6634442235383045,
        4.663463297778206,
        4.66348189516211,
        4.663500492546014,
        4.663519089929918,
        4.663537687313822,
        4.663556284697725,
        4.663574882081629,
        4.663593479465533,
        4.663612076849437,
        4.663630674233341,
        4.663649271617245,
        4.663667869001149,
        4.663686466385053,
        4.6637050637689565,
        4.6637236611528605,
        4.663742258536764,
        4.663760855920668,
        4.6637794533045716,
        4.6637980506884755,
        4.6638166480723795,
        4.6638352454562835,
        4.6638538428401874,
        4.663872440224091,
        4.663891037607995,
        4.663909634991899,
        4.6639282323758025,
        4.663946829759706,
        4.66396542714361,
        4.663984024527514,
        4.664002621911418,
        4.664021219295322,
        4.664039816679226,
        4.66405841406313,
        4.664077011447034,
        4.664095608830938,
        4.664114206214841,
        4.664132803598745,
        4.664151400982649,
        4.664169998366553,
        4.664188595750457,
        4.664207193134361,
        4.664225790518265,
        4.664244387902169,
        4.664262508430075,
        4.664281105813979,
        4.664299703197883,
        4.664318300581787,
        4.664336897965691,
        4.664355495349595,
        4.664374092733499,
        4.664392690117403,
        4.664411287501307,
        4.664429884885211,
        4.664448482269114,
        4.664467079653018,
        4.664485200180924,
        4.664503797564828,
        4.664522394948732,
        4.664540992332636,
        4.66455958971654,
        4.664578187100444,
        4.664596784484347,
        4.664615381868251,
        4.664633502396158,
        4.664652099780062,
        4.664670697163966,
        4.66468929454787,
        4.664707891931774,
        4.664726489315678,
        4.664745086699581,
        4.664763207227487,
        4.664781804611391,
        4.664800401995295,
        4.664818999379199,
        4.664837596763103,
        4.664856194147007,
        4.664874314674913,
        4.664892912058817,
        4.664911509442721,
        4.664930106826625,
        4.664948704210529,
        4.664967301594433,
        4.6649854221223395,
        4.6650040195062425,
        4.6650226168901465,
        4.6650412142740505,
        4.6650598116579545,
        4.665077932185861,
        4.665096529569765,
        4.665115126953669,
        4.665133724337573,
        4.665152321721476,
        4.665170442249383,
        4.665189039633287,
        4.665207637017191,
        4.665226234401095,
        4.665244354929001,
        4.665262952312904,
        4.665281549696808,
        4.665300147080712,
        4.665318267608619,
        4.665336864992523,
        4.665355462376427,
        4.665374059760331,
        4.6653921802882365,
        4.6654107776721405,
        4.6654293750560445,
        4.6654479724399485,
        4.665466092967855,
        4.665484690351759,
        4.665503287735663,
        4.665521408263569,
        4.665540005647473,
        4.665558603031377,
        4.665577200415281,
        4.665595320943187,
        4.665613918327091,
        4.665632515710994,
        4.665650636238901,
        4.665669233622805,
        4.665687831006709,
        4.6657059515346155,
        4.6657245489185195,
        4.665743146302423,
        4.665761743686327,
        4.665779864214233,
        4.665798461598137,
        4.665817058982041,
        4.665835179509948,
        4.665853776893851,
        4.665872374277755,
        4.665890494805661,
        4.665909092189565,
        4.665927212717472,
        4.665945810101376,
        4.665964407485279,
        4.665982528013186,
        4.66600112539709,
        4.666019722780994,
        4.6660378433089,
        4.666056440692804,
        4.666075038076707,
        4.666093158604614,
        4.666111755988518,
        4.6661298765164245,
        4.6661484739003285,
        4.6661670712842325,
        4.666185191812138,
        4.666203789196042,
        4.666221909723949,
        4.666240507107853,
        4.666259104491757,
        4.6662772250196625,
        4.666295822403566,
        4.666313942931473,
        4.666332540315377,
        4.666351137699281,
        4.666369258227187,
        4.666387855611091,
        4.666405976138997,
        4.666424573522901,
        4.666442694050808,
        4.666461291434712,
        4.666479888818615,
        4.666498009346522,
        4.666516606730426,
        4.666534727258332,
        4.666553324642236,
        4.666571445170142,
        4.666590042554046,
        4.6666081630819525,
        4.6666267604658564,
        4.666644880993763,
        4.666663478377666,
        4.666681598905573,
        4.666700196289477,
        4.666718316817383,
        4.666736914201287,
        4.666755034729193,
        4.666773632113097,
        4.666792229497001,
        4.666810350024908,
        4.666828947408812,
        4.666847067936717,
        4.666865188464624,
        4.666883785848528,
        4.6669019063764345,
        4.6669205037603385,
        4.666938624288244,
        4.666957221672148,
        4.666975342200055,
        4.666993939583959,
        4.6670120601118645,
        4.6670306574957685,
        4.667048778023675,
        4.667067375407579,
        4.667085495935486,
        4.66710409331939,
        4.667122213847295,
        4.667140334375202,
        4.667158931759106,
        4.667177052287013,
        4.667195649670916,
        4.667213770198822,
        4.667232367582726,
        4.667250488110633,
        4.667269085494537,
        4.667287206022443,
        4.667305326550349,
        4.667323923934253,
        4.66734204446216,
        4.667360641846064,
        4.6673787623739695,
        4.667396882901876,
        4.66741548028578,
        4.667433600813687,
        4.66745219819759,
        4.6674703187254964,
        4.667488439253403,
        4.667507036637307,
        4.667525157165213,
        4.667543277693119,
        4.667561875077023,
        4.66757999560493,
        4.667598592988834,
        4.66761671351674,
        4.667634834044646,
        4.66765343142855,
        4.667671551956457,
        4.667689672484363,
        4.667708269868267,
        4.667726390396173,
        4.66774451092408,
        4.667763108307984,
        4.6677812288358895,
        4.667799349363796,
        4.6678179467477,
        4.667836067275607,
        4.6678541878035125,
        4.667872785187416,
        4.667890905715323,
        4.66790902624323,
        4.667927623627133,
        4.667945744155039,
        4.667963864682946,
        4.66798246206685,
        4.668000582594756,
        4.668018703122662,
        4.668036823650569,
        4.668055421034473,
        4.668073541562379,
        4.668091662090285,
        4.668110259474189,
        4.668128380002096,
        4.668146500530002,
        4.668164621057908,
        4.668183218441812,
        4.668201338969719,
        4.6682194594976245,
        4.668237580025531,
        4.668256177409435,
        4.668274297937342,
        4.6682924184652475,
        4.668310538993154,
        4.668329136377058,
        4.668347256904965,
        4.66836537743287,
        4.668383497960777,
        4.668402095344681,
        4.668420215872588,
        4.668438336400493,
        4.6684564569284,
        4.668475054312304,
        4.6684931748402105,
        4.668511295368116,
        4.668529415896023,
        4.6685475364239295,
        4.6685661338078335,
        4.668584254335739,
        4.668602374863646,
        4.668620495391552,
        4.668638615919458,
        4.668657213303362,
        4.668675333831269,
        4.668693454359175,
        4.668711574887081,
        4.668729695414988,
        4.668747815942894,
        4.668766413326798,
        4.668784533854704,
        4.668802654382611,
        4.668820774910517,
        4.668838895438424,
        4.66885701596633,
        4.668875613350234,
        4.66889373387814,
        4.668911854406047,
        4.668929974933953,
        4.668948095461859,
        4.668966215989766,
        4.6689843365176715,
        4.6690029339015755,
        4.669021054429482,
        4.669039174957389,
        4.6690572954852945,
        4.669075416013201,
        4.669093536541108,
        4.669111657069013,
        4.66912977759692,
        4.669148374980824,
        4.669166495508731,
        4.669184616036636,
        4.669202736564543,
        4.66922085709245,
        4.669238977620355,
        4.669257098148262,
        4.669275218676169,
        4.669293339204075,
        4.669311459731981,
        4.6693295802598875,
        4.669347700787794,
        4.669366298171698,
        4.669384418699604,
        4.6694025392275105,
        4.669420659755417,
        4.669438780283323,
        4.669456900811229,
        4.669475021339136,
        4.669493141867042,
        4.669511262394948,
        4.669529382922855,
        4.669547503450762,
        4.669565623978667,
        4.669583744506574,
        4.669601865034481,
        4.669619985562386,
        4.669638106090293,
        4.6696562266182,
        4.669674347146105,
        4.669692467674012,
        4.6697105882019185,
        4.669728708729825,
        4.669746829257731,
        4.6697649497856375,
        4.669783070313544,
        4.66980119084145,
        4.6698193113693565,
        4.669837431897263,
        4.669855552425169,
        4.669873672953075,
        4.669891793480982,
        4.669909914008889,
        4.669928034536794,
        4.669946155064701,
        4.669964275592608,
        4.669982396120513,
        4.67000051664842,
        4.670018637176327,
        4.670036757704232,
        4.670054878232139,
        4.670072998760046,
        4.670091119287951,
        4.670109239815858,
        4.6701273603437645,
        4.670145480871671,
        4.670163601399577,
        4.670181245071486,
        4.670199365599392,
        4.6702174861272985,
        4.670235606655205,
        4.670253727183112,
        4.670271847711017,
        4.670289968238924,
        4.670308088766831,
        4.670326209294736,
        4.670344329822643,
        4.67036245035055,
        4.670380570878455,
        4.670398214550365,
        4.670416335078271,
        4.670434455606177,
        4.670452576134084,
        4.67047069666199,
        4.670488817189896,
        4.670506937717803,
        4.670525058245709,
        4.670542701917618,
        4.670560822445524,
        4.670578942973431,
        4.6705970635013365,
        4.670615184029243,
        4.67063330455715,
        4.670651425085056,
        4.670669068756965,
        4.670687189284871,
        4.670705309812777,
        4.670723430340684,
        4.67074155086859,
        4.670759671396496,
        4.670777315068405,
        4.670795435596312,
        4.670813556124218,
        4.670831676652124,
        4.670849797180031,
        4.670867917707937,
        4.670885561379846,
        4.6709036819077525,
        4.670921802435658,
        4.670939922963565,
        4.6709580434914715,
        4.67097568716338,
        4.6709938076912865,
        4.671011928219193,
        4.671030048747099,
        4.671048169275005,
        4.671065812946915,
        4.67108393347482,
        4.671102054002727,
        4.671120174530634,
        4.671137818202542,
        4.671155938730449,
        4.671174059258355,
        4.671192179786261,
        4.671210300314168,
        4.671227943986076,
        4.671246064513983,
        4.671264185041889,
        4.671282305569796,
        4.671299949241704,
        4.671318069769611,
        4.671336190297517,
        4.671353833969426,
        4.6713719544973324,
        4.671390075025238,
        4.671408195553145,
        4.671425839225053,
        4.67144395975296,
        4.671462080280866,
        4.671480200808773,
        4.671497844480681,
        4.671515965008588,
        4.671534085536494,
        4.671551729208403,
        4.67156984973631,
        4.671587970264215,
        4.671605613936125,
        4.671623734464031,
        4.671641854991937,
        4.671659498663846,
        4.671677619191752,
        4.671695739719659,
        4.671713860247565,
        4.671731503919474,
        4.67174962444738,
        4.671767744975287,
        4.671785388647195,
        4.671803509175102,
        4.671821629703008,
        4.671839273374917,
        4.671857393902823,
        4.671875037574732,
        4.671893158102638,
        4.671911278630545,
        4.671928922302453,
        4.67194704283036,
        4.671965163358267,
        4.671982807030175,
        4.672000927558082,
        4.672019048085987,
        4.672036691757897,
        4.672054812285803,
        4.672072455957712,
        4.672090576485618,
        4.672108697013525,
        4.672126340685433,
        4.67214446121334,
        4.672162104885248,
        4.672180225413155,
        4.672198345941061,
        4.67221598961297,
        4.672234110140876,
        4.672251753812785,
        4.672269874340691,
        4.672287518012601,
        4.672305638540506,
        4.672323759068413,
        4.672341402740321,
        4.672359523268228,
        4.672377166940137,
        4.672395287468043,
        4.672412931139952,
        4.672431051667859,
        4.672449172195765,
        4.672466815867674,
        4.67248493639558,
        4.672502580067489,
        4.6725207005953955,
        4.672538344267304,
        4.6725564647952105,
        4.672574108467119,
        4.6725922289950255,
        4.672609872666934,
        4.6726279931948405,
        4.67264563686675,
        4.6726637573946554,
        4.672681401066565,
        4.672699521594471,
        4.67271716526638,
        4.672735285794286,
        4.672752929466195,
        4.672771049994101,
        4.67278869366601,
        4.672806814193916,
        4.672824457865826,
        4.672842578393731,
        4.672860222065641,
        4.672878342593547,
        4.6728959862654555,
        4.672914106793362,
        4.6729317504652705,
        4.672949870993177,
        4.6729675146650855,
        4.672985635192992,
        4.673003278864901,
        4.673021399392807,
        4.673039043064716,
        4.673056686736625,
        4.673074807264531,
        4.67309245093644,
        4.673110571464346,
        4.673128215136256,
        4.673146335664161,
        4.673163979336071,
        4.673182099863977,
        4.673199743535886,
        4.673217387207795,
        4.673235507735701,
        4.67325315140761,
        4.673271271935516,
        4.673288915607425,
        4.673306559279333,
        4.67332467980724,
        4.673342323479149,
        4.673360444007055,
        4.673378087678964,
        4.6733957313508725,
        4.673413851878779,
        4.6734314955506875,
        4.673449616078594,
        4.673467259750503,
        4.673484903422412,
        4.673503023950318,
        4.673520667622227,
        4.673538311294136,
        4.673556431822043,
        4.673574075493951,
        4.673592196021858,
        4.673609839693766,
        4.673627483365675,
        4.673645603893581,
        4.67366324756549,
        4.673680891237399,
        4.673699011765305,
        4.6737166554372145,
        4.673734299109123,
        4.6737524196370295,
        4.673770063308938,
        4.673787706980847,
        4.673805827508754,
        4.673823471180662,
        4.673841114852571,
        4.673859235380477,
        4.673876879052386,
        4.673894522724295,
        4.673912166396204,
        4.67393028692411,
        4.673947930596019,
        4.673965574267927,
        4.673983694795834,
        4.674001338467743,
        4.674018982139652,
        4.674037102667558,
        4.674054746339467,
        4.674072390011376,
        4.674090033683284,
        4.674108154211191,
        4.674125797883099,
        4.6741434415550085,
        4.674161085226917,
        4.6741792057548235,
        4.674196849426733,
        4.674214493098641,
        4.67423213677055,
        4.674267900970365,
        4.674392360385722,
        4.674410004057631,
        4.67442764772954,
        4.674445291401448,
        4.6744629350733575,
        4.674481055601263,
        4.6744986992731725,
        4.674622681832532,
        4.67464032550444,
        4.674658446032347,
        4.674676089704255,
        4.674693733376165,
        4.674711377048073,
        4.674729020719982,
        4.674746664391891,
        4.674764784919797,
        4.674782428591706,
        4.674800072263615,
        4.674817715935523,
        4.674835359607433,
        4.674853003279341,
        4.674871123807248,
        4.674888767479157,
        4.674906411151065,
        4.6749240548229745,
        4.674941698494883,
        4.674959342166792,
        4.6749769858387005,
        4.67499462951061,
        4.6750127500385155,
        4.675030393710425,
        4.675048037382333,
        4.675065681054242,
        4.675083324726151,
        4.67510096839806,
        4.675118612069968,
        4.675136255741878,
        4.675153899413786,
        4.675172019941693,
        4.675189663613601,
        4.67520730728551,
        4.675224950957419,
        4.675242594629328,
        4.675260238301236,
        4.6752778819731455,
        4.675295525645054,
        4.675313169316963,
        4.6753308129888715,
        4.675348456660781,
        4.675366100332689,
        4.675383744004598,
        4.675401387676507,
        4.675419508204413,
        4.675437151876323,
        4.675454795548231,
        4.675472439220139,
        4.675490082892049,
        4.675507726563957,
        4.675525370235866,
        4.675543013907775,
        4.675560657579684,
        4.675578301251592,
        4.675595944923502,
        4.67561358859541,
        4.675631232267319,
        4.675648875939228,
        4.675666519611137,
        4.675684163283045,
        4.6757018069549545,
        4.675719450626863,
        4.675737094298772,
        4.6757547379706805,
        4.67577238164259,
        4.675790025314498,
        4.675807668986407,
        4.675825312658316,
        4.675842956330225,
        4.675860600002133,
        4.675878243674043,
        4.675895887345951,
        4.67591353101786,
        4.675931174689769,
        4.675948818361678,
        4.675966462033586,
        4.675984105705496,
        4.676001749377404,
        4.676019393049313,
        4.676037036721222,
        4.6760542035371335,
        4.676071847209042,
        4.676089490880951,
        4.6761071345528595,
        4.676124778224769,
        4.676142421896677,
        4.676160065568586,
        4.676177709240495,
        4.676195352912404,
        4.676212996584312,
        4.676230640256222,
        4.67624828392813,
        4.676265927600039,
        4.67628309441595,
        4.676300738087859,
        4.676318381759768,
        4.676336025431676,
        4.676353669103586,
        4.676371312775494,
        4.676388956447403,
        4.676406600119312,
        4.676424243791221,
        4.676441887463129,
        4.676459054279041,
        4.67647669795095,
        4.676494341622859,
        4.676511985294767,
        4.6765296289666765,
        4.676547272638585,
        4.676564916310494,
        4.676582083126405,
        4.6765997267983135,
        4.676617370470223,
        4.676635014142131,
        4.67665265781404,
        4.676670301485949,
        4.676687945157858,
        4.676705111973769,
        4.676722755645678,
        4.676740399317587,
        4.676758042989496,
        4.676775686661404,
        4.676793330333314,
        4.676810497149225,
        4.676828140821133,
        4.676845784493042,
        4.676863428164951,
        4.67688107183686,
        4.676898238652771,
        4.67691588232468,
        4.6769335259965885,
        4.676951169668498,
        4.676968813340406,
        4.676985980156317,
        4.677003623828226,
        4.677021267500135,
        4.677038911172044,
        4.677056554843952,
        4.677073721659864,
        4.677091365331773,
        4.677109009003682,
        4.67712665267559,
        4.677143819491502,
        4.677161463163411,
        4.677179106835319,
        4.677196750507228,
        4.677213917323139,
        4.6772315609950486,
        4.677249204666957,
        4.677266848338866,
        4.677284015154777,
        4.6773016588266865,
        4.678959448702118,
        4.680722146897009,
        4.6807431285609,
        4.680763633368794,
        4.680784615032685,
        4.680805596696577,
        4.680826578360469,
        4.680847083168363,
        4.6808680648322545,
        4.680889046496145,
        4.6809095513040395,
        4.680930532967931,
        4.680951514631823,
        4.680972019439717,
        4.680993001103609,
        4.6810139827675,
        4.681034964431391,
        4.681055469239285,
        4.681076450903177,
        4.681097432567069,
        4.681117937374963,
        4.681138919038855,
        4.681159423846748,
        4.68118040551064,
        4.681201387174531,
        4.6812218919824256,
        4.681242873646317,
        4.681263855310209,
        4.681284360118102,
        4.681305341781994,
        4.6813263234458855,
        4.68134682825378,
        4.681367809917671,
        4.681388314725566,
        4.681409296389457,
        4.681658692076168,
        4.681679673740059,
        4.6817001785479535,
        4.681721160211845,
        4.681741665019739,
        4.681762646683631,
        4.6817831514915245,
        4.681804133155416,
        4.681825114819308,
        4.681845619627202,
        4.681866601291094,
        4.681887106098987,
        4.681908087762879,
        4.681928592570773,
        4.681949574234665,
        4.681970079042559,
        4.6819910607064505,
        4.682011565514344,
        4.682032547178236,
        4.68205305198613,
        4.6820740336500215,
        4.682094538457916,
        4.682115520121807,
        4.682136024929701,
        4.6821570065935925,
        4.682177511401487,
        4.682198493065378,
        4.682218997873272,
        4.682239979537163,
        4.682260484345058,
        4.682281466008949,
        4.682301970816844,
        4.682322475624737,
        4.682343457288629,
        4.682363962096523,
        4.682384943760415,
        4.682405448568309,
        4.6824264302322005,
        4.682446935040094,
        4.682467439847988,
        4.68248842151188,
        4.682508926319774,
        4.682529907983666,
        4.682550412791559,
        4.682571394455451,
        4.682591899263345,
        4.682612404071239,
        4.682633385735131,
        4.682653890543024,
        4.682674872206916,
        4.68269537701481,
        4.682715881822705,
        4.682736863486595,
        4.68275736829449,
        4.682777873102384,
        4.682881350853849,
        4.682902332517741,
        4.682922837325634,
        4.6829433421335285,
        4.68296432379742,
        4.682984828605314,
        4.683005333413209,
        4.683026315077099,
        4.683046819884994,
        4.683067324692888,
        4.68308830635678,
        4.683108811164673,
        4.683129315972567,
        4.683150297636459,
        4.683170802444353,
        4.6831913072522475,
        4.683212288916138,
        4.683232793724033,
        4.683253298531927,
        4.683273803339821,
        4.683294785003712,
        4.683315289811606,
        4.6833357946195004,
        4.683356299427395,
        4.683377281091286,
        4.68339778589918,
        4.683418290707074,
        4.683439272370966,
        4.68345977717886,
        4.683480281986753,
        4.683500786794648,
        4.683521768458539,
        4.683542273266434,
        4.683562778074327,
        4.683583282882221,
        4.6836037876901155,
        4.683624769354007,
        4.683645274161901,
        4.683665778969795,
        4.683686283777689,
        4.683707265441581,
        4.683727770249474,
        4.6837482750573685,
        4.683768779865263,
        4.683789284673157,
        4.683810266337048,
        4.683830771144942,
        4.683851275952836,
        4.683871780760731,
        4.683892285568624,
        4.683913267232516,
        4.68393377204041,
        4.683954276848304,
        4.683974781656198,
        4.683995286464092,
        4.684015791271986,
        4.684036772935878,
        4.684057277743771,
        4.6840777825516655,
        4.68409828735956,
        4.684118792167454,
        4.6841392969753475,
        4.684159801783242,
        4.684180306591136,
        4.684201288255028,
        4.684221793062921,
        4.684242297870815,
        4.68426280267871,
        4.684283307486603,
        4.684303812294497,
        4.684324317102392,
        4.684344821910286,
        4.684365803574177,
        4.684386308382071,
        4.684406813189965,
        4.6844273179978595,
        4.684447822805753,
        4.684468327613647,
        4.6844888324215415,
        4.684509337229435,
        4.684529842037329,
        4.684550346845223,
        4.684570851653118,
        4.684591356461011,
        4.684611861268905,
        4.6846323660768,
        4.684653347740691,
        4.684673852548585,
        4.684694357356479,
        4.684714862164373,
        4.684735366972267,
        4.684755871780161,
        4.684776376588055,
        4.6847968813959495,
        4.684817386203843,
        4.684837891011737,
        4.6848583958196315,
        4.684878900627525,
        4.684899405435419,
        4.6849199102433134,
        4.684940415051208,
        4.684960919859101,
        4.684981424666995,
        4.68500192947489,
        4.685022434282783,
        4.685042939090677,
        4.685063443898572,
        4.685083948706466,
        4.685104453514359,
        4.685124958322254,
        4.685145463130148,
        4.685165967938041,
        4.685186472745936,
        4.6852065006978325,
        4.685227005505726,
        4.68524751031362,
        4.6852680151215145,
        4.685288519929408,
        4.685309024737302,
        4.685329529545196,
        4.685350034353091,
        4.685370539160984,
        4.685391043968878,
        4.685411548776773,
        4.685432053584666,
        4.68545255839256,
        4.685473063200455,
        4.685493091152351,
        4.685513595960245,
        4.685534100768139,
        4.685554605576033,
        4.685575110383927,
        4.685595615191821,
        4.6856161199997155,
        4.685636624807609,
        4.685657129615503,
        4.6856771575674,
        4.6856976623752935,
        4.685718167183188,
        4.685738671991082,
        4.6857591767989755,
        4.68577968160687,
        4.685800186414764,
        4.68582021436666,
        4.685840719174554,
        4.685861223982449,
        4.685881728790342,
        4.685902233598236,
        4.685922738406131,
        4.685942766358027,
        4.685963271165921,
        4.685983775973815,
        4.686004280781709,
        4.686024785589603,
        4.6860448135415,
        4.686065318349393,
        4.6860858231572875,
        4.686106327965182,
        4.686126832773076,
        4.686146860724972,
        4.686167365532866,
        4.68618787034076,
        4.686208375148654,
        4.686228879956548,
        4.686248907908444,
        4.686269412716339,
        4.686289917524233,
        4.686310422332127,
        4.686330450284023,
        4.686350955091918,
        4.686371459899811,
        4.686391964707705,
        4.686411992659602,
        4.686432497467496,
        4.68645300227539,
        4.686473507083284,
        4.68649353503518,
        4.6865140398430745,
        4.686534544650969,
        4.686554572602865,
        4.686575077410759,
        4.686595582218653,
        4.686616087026547,
        4.686636114978444,
        4.686656619786338,
        4.686677124594231,
        4.686697152546128,
        4.686717657354023,
        4.686738162161916,
        4.686758190113813,
        4.686778694921706,
        4.686799199729601,
        4.6868192276814975,
        4.686839732489391,
        4.686860237297285,
        4.686880265249182,
        4.6869007700570755,
        4.68692127486497,
        4.686941302816867,
        4.68696180762476,
        4.686982312432654,
        4.68700234038455,
        4.687022845192445,
        4.687043350000339,
        4.687063377952235,
        4.687083882760129,
        4.687104387568024,
        4.68712441551992,
        4.687144920327814,
        4.687164948279711,
        4.687185453087604,
        4.6872059578954985,
        4.687225985847395,
        4.687246490655289,
        4.687266518607186,
        4.687287023415079,
        4.6873075282229735,
        4.68732755617487,
        4.687348060982764,
        4.687368088934661,
        4.687388593742555,
        4.687408621694451,
        4.687429126502345,
        4.687449631310239,
        4.687469659262136,
        4.68749016407003,
        4.687510192021926,
        4.68753069682982,
        4.687550724781716,
        4.687571229589611,
        4.6875912575415075,
        4.687611762349401,
        4.687631790301298,
        4.687652295109192,
        4.6876727999170855,
        4.6876928278689824,
        4.687713332676876,
        4.687733360628773,
        4.687753865436667,
        4.687773893388563,
        4.687794398196457,
        4.687814426148353,
        4.687834930956248,
        4.687854958908145,
        4.687875463716038,
        4.687895491667935,
        4.687915996475829,
        4.687936024427725,
        4.68795652923562,
        4.687976557187516,
        4.6879965851394125,
        4.688017089947307,
        4.688037117899203,
        4.688057622707097,
        4.688077650658993,
        4.6880981554668875,
        4.6881181834187835,
        4.688138688226678,
        4.688158716178575,
        4.688179220986468,
        4.688199248938365,
        4.688219276890261,
        4.688239781698155,
        4.688259809650052,
        4.688280314457946,
        4.688300342409843,
        4.688320370361739,
        4.688340875169633,
        4.68836090312153,
        4.688381407929423,
        4.68840143588132,
        4.688421463833216,
        4.6884419686411105,
        4.688461996593007,
        4.688482501400901,
        4.688502529352798,
        4.688522557304694,
        4.688543062112588,
        4.688563090064484,
        4.688583594872378,
        4.688603622824275,
        4.688623650776171,
        4.688644155584066,
        4.688664183535962,
        4.688684211487859,
        4.688704716295753,
        4.688724744247649,
        4.688744772199546,
        4.688765277007439,
        4.688785304959336,
        4.688805332911232,
        4.6888258377191265,
        4.6888458656710235,
        4.6888658936229195,
        4.688886398430814,
        4.68890642638271,
        4.688926454334607,
        4.688946959142501,
        4.688966987094397,
        4.688987015046294,
        4.68900704299819,
        4.689027547806084,
        4.68904757575798,
        4.689067603709877,
        4.689088108517772,
        4.689108136469668,
        4.6891281644215645,
        4.689148192373461,
        4.689168697181355,
        4.689188725133251,
        4.689208753085148,
        4.689228781037044,
        4.689249285844938,
        4.689269313796834,
        4.689289341748731,
        4.689309369700627,
        4.6893298745085215,
        4.689349902460418,
        4.689369930412314,
        4.689389958364211,
        4.689410463172105,
        4.689430491124002,
        4.689450519075898,
        4.689470547027795,
        4.689490574979691,
        4.689511079787585,
        4.689531107739482,
        4.689551135691378,
        4.689571163643275,
        4.689591191595171,
        4.689611696403065,
        4.689631724354961,
        4.689651752306858,
        4.689671780258754,
        4.689691808210651,
        4.689712313018545,
        4.6897323409704414,
        4.689752368922338,
        4.689772396874234,
        4.689792424826131,
        4.689812452778027,
        4.689832480729924,
        4.689852985537818,
        4.689873013489715,
        4.689893041441611,
        4.689913069393508,
        4.689933097345404,
        4.689953125297301,
        4.689973153249197,
        4.689993658057091,
        4.690013686008988,
        4.690033713960884,
        4.690053741912781,
        4.690073769864677,
        4.690093797816574,
        4.69011382576847,
        4.690133853720367,
        4.690153881672263,
        4.69017390962416,
        4.690194414432053,
        4.69021444238395,
        4.690234470335846,
        4.690254498287743,
        4.690274526239639,
        4.690294554191536,
        4.690314582143433,
        4.690334610095329,
        4.690354638047226,
        4.690374665999122,
        4.690394693951019,
        4.690414721902915,
        4.690434749854812,
        4.690454777806708,
        4.690474805758605,
        4.690494833710501,
        4.690515338518395,
        4.690535366470291,
        4.690555394422188,
        4.690575422374084,
        4.690595450325981,
        4.690615478277877,
        4.690635506229774,
        4.69065553418167,
        4.690675562133567,
        4.690695590085463,
        4.69071561803736,
        4.690735645989256,
        4.690755673941153,
        4.690775701893049,
        4.690795729844946,
        4.690815757796842,
        4.690835785748739,
        4.690855813700635,
        4.690875841652532,
        4.690895869604428,
        4.690915420700327,
        4.6909354486522234,
        4.69095547660412,
        4.690975504556016,
        4.690995532507913,
        4.691015560459809,
        4.691035588411706,
        4.691055616363602,
        4.691075644315499,
        4.691095672267395,
        4.691115700219292,
        4.691135728171188,
        4.691155756123085,
        4.691175784074981,
        4.691195812026878,
        4.691215839978774,
        4.691235391074674,
        4.69125541902657,
        4.691275446978467,
        4.691295474930363,
        4.69131550288226,
        4.691335530834156,
        4.691355558786053,
        4.69149527759333,
        4.691515305545227,
        4.691535333497123,
        4.691554884593022,
        4.691574912544919,
        4.691594940496815,
        4.691614968448712,
        4.691634996400608,
        4.691655024352505,
        4.691675052304401,
        4.6916946034003,
        4.6917146313521965,
        4.691734659304093,
        4.691754687255989,
        4.691774715207886,
        4.691794266303785,
        4.691814294255682,
        4.691834322207578,
        4.691854350159475,
        4.691874378111371,
        4.69189392920727,
        4.691913957159167,
        4.691933985111063,
        4.69195401306296,
        4.691974041014856,
        4.691993592110755,
        4.692013620062651,
        4.692033648014548,
        4.692053675966444,
        4.692073227062344,
        4.69209325501424,
        4.692113282966137,
        4.692133310918033,
        4.69215333886993,
        4.692172889965828,
        4.692192917917724,
        4.692212945869621,
        4.69223249696552,
        4.692252524917417,
        4.692272552869313,
        4.69229258082121,
        4.692312131917109,
        4.6923321598690055,
        4.692352187820902,
        4.6923722157727985,
        4.692391766868697,
        4.692411794820593,
        4.69243182277249,
        4.692451373868389,
        4.692471401820286,
        4.692491429772182,
        4.692510980868081,
        4.692531008819977,
        4.692551036771874,
        4.692570587867773,
        4.692590615819669,
        4.692610643771566,
        4.692630194867465,
        4.692650222819362,
        4.692670250771258,
        4.692689801867157,
        4.692709829819053,
        4.69272985777095,
        4.692749408866849,
        4.692769436818745,
        4.692789464770642,
        4.6928090158665405,
        4.6928290438184375,
        4.6928490717703335,
        4.692868622866232,
        4.692888650818129,
        4.692908201914028,
        4.692928229865925,
        4.692948257817821,
        4.69296780891372,
        4.692987836865616,
        4.693007864817513,
        4.693027415913412,
        4.693047443865308,
        4.693066994961208,
        4.693087022913104,
        4.693107050865001,
        4.693126601960899,
        4.693146629912796,
        4.693166181008695,
        4.693186208960591,
        4.6932057600564905,
        4.6932257880083865,
        4.6932458159602835,
        4.693265367056182,
        4.693285395008079,
        4.693304946103978,
        4.693324974055874,
        4.693344525151773,
        4.693364553103669,
        4.693384104199568,
        4.693404132151465,
        4.693423683247364,
        4.693443711199261,
        4.693463262295159,
        4.693483290247056,
        4.693503318198952,
        4.693522869294851,
        4.693542897246748,
        4.693562448342647,
        4.6935824762945435,
        4.693602027390442,
        4.693622055342339,
        4.693641606438238,
        4.693661634390134,
        4.693681185486033,
        4.6937012134379295,
        4.693720764533828,
        4.693740315629728,
        4.693760343581624,
        4.693779894677523,
        4.693799922629419,
        4.693819473725318,
        4.693839501677215,
        4.693859052773114,
        4.693879080725011,
        4.693898631820909,
        4.693918659772806,
        4.693938210868705,
        4.693957761964604,
        4.6939777899165005,
        4.693997341012399,
        4.694017368964295,
        4.694036920060195,
        4.694056948012091,
        4.69407649910799,
        4.694096050203889,
        4.694116078155785,
        4.694135629251685,
        4.694155657203581,
        4.69417520829948,
        4.694194759395379,
        4.694214787347275,
        4.694234338443175,
        4.694254366395071,
        4.694273917490969,
        4.694293468586869,
        4.694313496538765,
        4.6943330476346645,
        4.694353075586561,
        4.694372626682459,
        4.694392177778359,
        4.694412205730255,
        4.694431756826154,
        4.694451307922053,
        4.694471335873949,
        4.694490886969849,
        4.694510438065747,
        4.6945304660176435,
        4.694550017113543,
        4.694569568209442,
        4.694589596161339,
        4.694609147257237,
        4.694628698353136,
        4.694648726305033,
        4.694668277400932,
        4.69468782849683,
        4.694707856448727,
        4.694727407544626,
        4.694746958640525,
        4.6947669865924215,
        4.69478653768832,
        4.69480608878422,
        4.6948256398801185,
        4.6948456678320145,
        4.694865218927914,
        4.694884770023813,
        4.694904797975709,
        4.694924349071608,
        4.694943900167507,
        4.694963451263406,
        4.694983479215303,
        4.695003030311201,
        4.6950225814071,
        4.695042132503,
        4.695062160454896,
        4.695081711550795,
        4.695101262646694,
        4.695120813742593,
        4.6951408416944895,
        4.695160392790388,
        4.695179943886287,
        4.6951994949821865,
        4.6952195229340825,
        4.695239074029981,
        4.695258625125881,
        4.6952781762217795,
        4.695297727317678,
        4.695317755269575,
        4.695337306365474,
        4.695356857461372,
        4.695376408557272,
        4.695395959653171,
        4.695415987605068,
        4.695435538700966,
        4.695455089796865,
        4.695474640892765,
        4.695494191988663,
        4.695514219940559,
        4.695533771036459,
        4.6955533221323575,
        4.695572873228256,
        4.695592424324156,
        4.6956119754200545,
        4.695631526515953,
        4.69565155446785,
        4.695671105563749,
        4.6956906566596475,
        4.695710207755547,
        4.695729758851446,
        4.695749309947344,
        4.695768861043244,
        4.69578888899514,
        4.695808440091039,
        4.695827991186938,
        4.695847542282837,
        4.695867093378736,
        4.695886644474635,
        4.695906195570534,
        4.695925746666433,
        4.695945297762331,
        4.695965325714228,
        4.695984876810127,
        4.6960044279060265,
        4.696023979001925,
        4.696043530097824,
        4.696063081193723,
        4.696082632289622,
        4.696102183385521,
        4.6961217344814195,
        4.696141285577319,
        4.696160836673218,
        4.696180387769116,
        4.696199938865016,
        4.696219489960915,
        4.696239517912811,
        4.69625906900871,
        4.696278620104609,
        4.696298171200508,
        4.696317722296407,
        4.696337273392306,
        4.696356824488205,
        4.696376375584104,
        4.696395926680003,
        4.6964154777759015,
        4.696435028871801,
        4.6964545799677,
        4.6964741310635985,
        4.696493682159497,
        4.696513233255397,
        4.696532784351295,
        4.696552335447194,
        4.696571886543094,
        4.696591437638992,
        4.696610988734891,
        4.696630539830791,
        4.696650090926689,
        4.696669642022588,
        4.696689193118487,
        4.696708744214386,
        4.696728295310285,
        4.696747846406184,
        4.696767397502083,
        4.6967864717419845,
        4.696806022837883,
        4.696825573933782,
        4.696845125029681,
        4.69686467612558,
        4.696884227221479,
        4.696903778317378,
        4.696923329413277,
        4.696942880509176,
        4.696962431605075,
        4.696981982700974,
        4.697001533796873,
        4.697021084892771,
        4.697040635988671,
        4.697059710228572,
        4.697079261324471,
        4.69709881242037,
        4.697118363516269,
        4.697137914612168,
        4.697157465708067,
        4.697177016803966,
        4.697196567899865,
        4.6972161189957635,
        4.697235670091663,
        4.697254744331564,
        4.697274295427463,
        4.697293846523362,
        4.697313397619261,
        4.69733294871516,
        4.697352499811059,
        4.697372050906958,
        4.69739112514686,
        4.697410676242758,
        4.697430227338657,
        4.697449778434557,
        4.697469329530455,
        4.697488880626354,
        4.697507954866255,
        4.697527505962155,
        4.6975470570580535,
        4.697566608153952,
        4.697586159249852,
        4.6976057103457505,
        4.697624784585652,
        4.6976443356815505,
        4.69766388677745,
        4.697683437873349,
        4.697702988969247,
        4.697722063209149,
        4.697741614305048,
        4.697761165400947,
        4.697780716496846,
        4.697799790736747,
        4.697819341832647,
        4.697838892928545,
        4.697858444024444,
        4.697877995120343,
        4.697897069360245,
        4.6979166204561436,
        4.697936171552042,
        4.697955722647942,
        4.697974796887843,
        4.697994347983742,
        4.6980138990796405,
        4.69803345017554,
        4.698052524415441,
        4.69807207551134,
        4.698091626607239,
        4.698111177703138,
        4.69813025194304,
        4.698149803038938,
        4.698169354134837,
        4.698188428374738,
        4.698207979470638,
        4.698227530566537,
        4.698247081662435,
        4.698266155902337,
        4.698285706998236,
        4.698305258094135,
        4.698324332334036,
        4.698343883429935,
        4.6983634345258345,
        4.698382508765736,
        4.6984020598616345,
        4.698421610957533,
        4.698440685197435,
        4.698460236293334,
        4.698479787389233,
        4.698498861629134,
        4.698518412725034,
        4.698537963820932,
        4.698557038060834,
        4.698576589156732,
        4.698596140252632,
        4.698615214492533,
        4.698634765588432,
        4.698654316684331,
        4.698673390924232,
        4.6986929420201315,
        4.698712016260033,
        4.698731567355932,
        4.69875111845183,
        4.6987701926917325,
        4.698789743787631,
        4.6988088180275325,
        4.698828369123431,
        4.698847920219331,
        4.698866994459232,
        4.698886545555131,
        4.698905619795032,
        4.698925170890931,
        4.69894472198683,
        4.698963796226732,
        4.69898334732263,
        4.699002421562532,
        4.69902197265843,
        4.699041046898333,
        4.699060597994231,
        4.69908014909013,
        4.699099223330031,
        4.699118774425931,
        4.699137848665832,
        4.699157399761731,
        4.699176474001632,
        4.699196025097531,
        4.699215099337433,
        4.699234650433332,
        4.6992542015292305,
        4.699273275769132,
        4.699292826865031,
        4.699311901104933,
        4.699331452200831,
        4.699350526440733,
        4.699370077536631,
        4.699389151776533,
        4.699408702872432,
        4.699427777112334,
        4.699447328208232,
        4.699466402448134,
        4.699485953544033,
        4.6995050277839345,
        4.699524578879833,
        4.6995436531197345,
        4.699563204215633,
        4.699582278455535,
        4.699601829551434,
        4.6996209037913355,
        4.699639978031237,
        4.6996595291271355,
        4.699678603367037,
        4.699698154462936,
        4.699717228702838,
        4.699736779798736,
        4.699755854038638,
        4.699775405134537,
        4.699794479374439,
        4.69981355361434,
        4.699833104710239,
        4.69985217895014,
        4.699871730046039,
        4.699890804285941,
        4.6999103553818395,
        4.699929429621741,
        4.699948503861642,
        4.699968054957541,
        4.699987129197442,
        4.700006680293342,
        4.700025754533243,
        4.7000448287731444,
        4.700218404356248,
        4.700237478596149,
        4.700257029692048,
        4.700276103931949,
        4.70029517817185,
        4.70031472926775,
        4.700333803507651,
        4.7003528777475525,
        4.700372428843451,
        4.7003915030833525,
        4.700410577323254,
        4.700430128419153,
        4.700449202659055,
        4.700468276898956,
        4.700487827994855,
        4.700506902234756,
        4.700525976474657,
        4.700545527570557,
        4.700564601810458,
        4.70058367605036,
        4.700603227146258,
        4.70062230138616,
        4.700641375626061,
        4.700660449865962,
        4.700680000961862,
        4.700699075201763,
        4.7007181494416646,
        4.700737700537563,
        4.700756774777465,
        4.700775849017367,
        4.700794923257268,
        4.700814474353167,
        4.700833548593068,
        4.7008526228329695,
        4.700871697072871,
        4.70089124816877,
        4.700910322408672,
        4.700929396648573,
        4.700948470888474,
        4.700968021984373,
        4.700987096224274,
        4.701006170464176,
        4.701025244704077,
        4.701044795799977,
        4.701063870039878,
        4.701082944279779,
        4.701102018519681,
        4.701121092759582,
        4.701140643855481,
        4.701159718095383,
        4.701178792335284,
        4.7011978665751855,
        4.701216940815087,
        4.7012364919109855,
        4.701255566150887,
        4.701274640390788,
        4.70129371463069,
        4.701312788870592,
        4.70133233996649,
        4.701351414206392,
        4.701370488446293,
        4.701389562686194,
        4.701408636926096,
        4.701427711165997,
        4.701447262261897,
        4.701466336501798,
        4.701485410741699,
        4.701504484981601,
        4.701523559221502,
        4.701542633461403,
        4.7015617077013045,
        4.701581258797204,
        4.7016003330371055,
        4.701619407277007,
        4.701638481516908,
        4.701657555756809,
        4.701676629996711,
        4.701695704236612,
        4.701714778476513,
        4.701733852716415,
        4.701753403812314,
        4.701772478052216,
        4.701791552292117,
        4.701810626532018,
        4.70182970077192,
        4.701848775011821,
        4.701867849251722,
        4.7018869234916245,
        4.701905997731526,
        4.701925071971427,
        4.7019441462113285,
        4.701963697307227,
        4.7019827715471285,
        4.70200184578703,
        4.702020920026931,
        4.702039994266833,
        4.702059068506735,
        4.702078142746636,
        4.702097216986537,
        4.702116291226439,
        4.70213536546634,
        4.702154439706241,
        4.702173513946143,
        4.702192588186044,
        4.702211662425945,
        4.702230736665848,
        4.702249810905749,
        4.70226888514565,
        4.7022879593855516,
        4.702307033625453,
        4.702326107865354,
        4.7023451821052555,
        4.702364256345157,
        4.702383330585058,
        4.7024024048249595,
        4.702421479064862,
        4.702440553304763,
        4.702459627544664,
        4.702478701784566,
        4.702497776024467,
        4.702516850264368,
        4.70253592450427,
        4.702554998744171,
        4.702574072984072,
        4.702593147223975,
        4.702612221463876,
        4.702631295703777,
        4.702650369943679,
        4.70266944418358,
        4.702688518423481,
        4.702707592663383,
        4.702726666903284,
        4.702745741143185,
        4.7027648153830865,
        4.7027834127669905,
        4.702802487006892,
        4.702821561246794,
        4.702840635486695,
        4.702859709726597,
        4.702878783966498,
        4.702897858206399,
        4.702916932446301,
        4.702936006686202,
        4.702955080926103,
        4.702974155166005,
        4.702992752549909,
        4.70301182678981,
        4.703030901029711,
        4.7030499752696135,
        4.703069049509515,
        4.703088123749416,
        4.7031071979893175,
        4.703126272229219,
        4.703144869613123,
        4.703163943853024,
        4.7031830180929255,
        4.703202092332827,
        4.703221166572728,
        4.7032402408126295,
        4.703259315052532,
        4.703277912436435,
        4.703296986676337,
        4.703316060916238,
        4.70333513515614,
        4.703354209396041,
        4.703373283635942,
        4.703391881019846,
        4.703410955259748,
        4.703430029499649,
        4.70344910373955,
        4.703468177979452,
        4.703487252219353,
        4.703505849603257,
        4.703524923843158,
        4.70354399808306,
        4.703563072322962,
        4.703582146562863,
        4.703600743946767,
        4.703619818186668,
        4.70363889242657,
        4.703657966666471,
        4.703676564050375,
        4.703695638290276,
        4.703714712530178,
        4.703733786770079,
        4.70375286100998,
        4.703771458393884,
        4.703790532633786,
        4.703809606873687,
        4.703828681113588,
        4.703847278497492,
        4.703866352737394,
        4.703885426977295,
        4.703904501217197,
        4.7039230986011,
        4.7039421728410025,
        4.703961247080904,
        4.703979844464808,
        4.703998918704709,
        4.70401799294461,
        4.704037067184512,
        4.704055664568416,
        4.704074738808317,
        4.704093813048218,
        4.704112410432122,
        4.704131484672024,
        4.704150558911925,
        4.704169633151826,
        4.70418823053573,
        4.704207304775632,
        4.704226379015533,
        4.704244976399437,
        4.704264050639338,
        4.70428312487924,
        4.704301722263144,
        4.704320796503045,
        4.704339870742947,
        4.70435846812685,
        4.704377542366752,
        4.704396616606654,
        4.704415213990558,
        4.704434288230459,
        4.70445336247036,
        4.704471959854264,
        4.704491034094166,
        4.704510108334067,
        4.704528705717971,
        4.704547779957872,
        4.704566377341776,
        4.704585451581678,
        4.704604525821579,
        4.704623123205483,
        4.704642197445384,
        4.704660794829288,
        4.70467986906919,
        4.704698943309091,
        4.704717540692995,
        4.704736614932896,
        4.7047552123168,
        4.7047742865567015,
        4.704793360796603,
        4.704811958180507,
        4.704831032420408,
        4.704849629804312,
        4.704868704044213,
        4.704887778284115,
        4.704906375668019,
        4.70492544990792,
        4.704944047291824,
        4.704963121531725,
        4.704981718915629,
        4.705000793155531,
        4.705019390539435,
        4.705038464779336,
        4.705057539019237,
        4.705076136403141,
        4.705095210643043,
        4.705113808026947,
        4.705132882266848,
        4.705151479650752,
        4.705170553890653,
        4.705189151274557,
        4.7052082255144585,
        4.7052268228983625,
        4.705245897138264,
        4.705264494522168,
        4.705283568762069,
        4.705302166145973,
        4.705321240385874,
        4.705339837769778,
        4.70535891200968,
        4.705377509393584,
        4.705396583633485,
        4.705415181017389,
        4.70543425525729,
        4.705452852641194,
        4.705471926881096,
        4.705490524265,
        4.705509598504901,
        4.705528195888805,
        4.705547270128706,
        4.70556586751261,
        4.705584464896514,
        4.7056035391364155,
        4.7056221365203195,
        4.705641210760221,
        4.705659808144125,
        4.705678882384026,
        4.70569747976793,
        4.705716554007831,
        4.705735151391735,
        4.705753748775639,
        4.705772823015541,
        4.705791420399445,
        4.705810494639346,
        4.70582909202325,
        4.705848166263151,
        4.705866763647055,
        4.705885361030959,
        4.7059044352708606,
        4.7059230326547645,
        4.705942106894666,
        4.70596070427857,
        4.705979301662474,
        4.705998375902375,
        4.706016973286279,
        4.706035570670183,
        4.706054644910084,
        4.706073242293988,
        4.70609231653389,
        4.706110913917794,
        4.706129511301698,
        4.706148585541599,
        4.706167182925503,
        4.706185780309407,
        4.706204854549308,
        4.706223451933212,
        4.706242049317116,
        4.7062611235570175,
        4.7062797209409215,
        4.706298318324825,
        4.706317392564727,
        4.70633598994863,
        4.706354587332534,
        4.706373661572435,
        4.706392258956339,
        4.706410856340243,
        4.7064299305801445,
        4.7064485279640484,
        4.706467125347952,
        4.706486199587854,
        4.706504796971758,
        4.706523394355662,
        4.706541991739566,
        4.706561065979467,
        4.706579663363371,
        4.706598260747275,
        4.706617334987176,
        4.70663593237108,
        4.706654529754984,
        4.706673127138888,
        4.7066922013787895,
        4.7067107987626935,
        4.7067293961465975,
        4.706747993530501,
        4.706767067770403,
        4.706785665154307,
        4.70680426253821,
        4.706822859922114,
        4.706841934162015,
        4.706860531545919,
        4.706879128929823,
        4.706897726313727,
        4.706916800553628,
        4.706935397937532,
        4.706953995321436,
        4.70697259270534,
        4.706991190089244,
        4.707010264329146,
        4.70702886171305,
        4.7070474590969535,
        4.7070660564808575,
        4.707085130720759,
        4.707103728104663,
        4.707122325488567,
        4.70714092287247,
        4.707159520256374,
        4.707178117640278,
        4.707197191880179,
        4.707215789264083,
        4.707234386647987,
        4.707252984031891,
        4.707271581415795,
        4.707290655655696,
        4.7073092530396,
        4.707327850423504,
        4.707346447807408,
        4.707365045191312,
        4.707383642575216,
        4.707402239959119,
        4.7074213141990215,
        4.707439911582925,
        4.707458508966829,
        4.707477106350733,
        4.7074957037346365,
        4.7075143011185405,
        4.7075328985024445,
        4.7075514958863485,
        4.70757057012625,
        4.707589167510154,
        4.707607764894058,
        4.707626362277962,
        4.707644959661866,
        4.707663557045769,
        4.707682154429673,
        4.707700751813577,
        4.707719349197481,
        4.707738423437382,
        4.707757020821286,
        4.70777561820519,
        4.707794215589094,
        4.707812812972998,
        4.707831410356902,
        4.707850007740806,
        4.70786860512471,
        4.707887202508613,
        4.707905799892517,
        4.707924397276421,
        4.707942994660325,
        4.707961592044229,
        4.707980189428133,
        4.707998786812037,
        4.708017861051938,
        4.708036458435842,
        4.708055055819746,
        4.70807365320365,
        4.708092250587554,
        4.708110847971457,
        4.708129445355361,
        4.708148042739265,
        4.708166640123169,
        4.708185237507073,
        4.708203834890977,
        4.708222432274881,
        4.708241029658785,
        4.708259627042689,
        4.708278224426593,
        4.708296821810496,
        4.7083154191944,
        4.708334016578304,
        4.708352613962208,
        4.708371211346112,
        4.708389808730016,
        4.70840840611392,
        4.708427003497824,
        4.708445600881728,
        4.708464198265632,
        4.708482795649535,
        4.708501393033439,
        4.708519513561345,
        4.708538110945249,
        4.708556708329153,
        4.708575305713057,
        4.708593903096961,
        4.708612500480865,
        4.708631097864768,
        4.708649695248672,
        4.708668292632576,
        4.70868689001648,
        4.708705487400384,
        4.708724084784288,
        4.708742682168192,
        4.708761279552096,
        4.708779876936,
        4.708797997463906,
        4.70881659484781,
        4.708835192231714,
        4.709076481366467,
        4.709095078750371,
        4.709113199278277,
        4.709131796662181,
        4.709150394046085,
        4.709168991429989,
        4.709187588813893,
        4.709206186197797,
        4.709224783581701,
        4.709242904109606,
        4.70926150149351,
        4.709280098877414,
        4.709298696261318,
        4.709317293645222,
        4.709335891029126,
        4.709354011557033,
        4.709372608940936,
        4.70939120632484,
        4.709409803708744,
        4.709428401092648,
        4.7094465216205545,
        4.7094651190044585,
        4.7094837163883625,
        4.7095023137722665,
        4.7095209111561696,
        4.709539031684076,
        4.70955762906798,
        4.709576226451884,
        4.709594823835788,
        4.709612944363695,
        4.709631541747598,
        4.709650139131502,
        4.709668736515406,
        4.70968733389931,
        4.709705454427216,
        4.70972405181112,
        4.709742649195024,
        4.709761246578928,
        4.709779367106834,
        4.709797964490738,
        4.709816561874642,
        4.709835159258546,
        4.7098532797864525,
        4.7098718771703565,
        4.70989047455426,
        4.709908595082166,
        4.70992719246607,
        4.709945789849974,
        4.709964387233878,
        4.709982507761785,
        4.710001105145688,
        4.710019702529592,
        4.710037823057498,
        4.710056420441402,
        4.710075017825306,
        4.71009361520921,
        4.710111735737116,
        4.71013033312102,
        4.710148930504924,
        4.710167051032831,
        4.710185648416735,
        4.710204245800639,
        4.710222366328544,
        4.710240963712448,
        4.710259561096352,
        4.710277681624259,
        4.710296279008163,
        4.710314876392067,
        4.7103329969199725,
        4.7103515943038765,
        4.7103701916877805,
        4.710388312215687,
        4.710406909599591,
        4.710425030127498,
        4.710443627511401,
        4.710462224895305,
        4.710480345423211,
        4.710498942807115,
        4.710517540191019,
        4.710535660718926,
        4.710554258102829,
        4.710572378630736,
        4.71059097601464,
        4.710609573398544,
        4.71062769392645,
        4.710646291310354,
        4.71066441183826,
        4.710683009222164,
        4.710701606606068,
        4.7107197271339745,
        4.710738324517878,
        4.710756445045784,
        4.710775042429688,
        4.710793639813592,
        4.710811760341499,
        4.710830357725403,
        4.710848478253308,
        4.710867075637212,
        4.710885196165119,
        4.710903793549023,
        4.71092191407693,
        4.710940511460834,
        4.710959108844737,
        4.710977229372643,
        4.710995826756547,
        4.711013947284454,
        4.711032544668358,
        4.711050665196264,
        4.711069262580168,
        4.711087383108074,
        4.711105980491978,
        4.711124101019885,
        4.711142698403788,
        4.7111608189316945,
        4.7111794163155984,
        4.711197536843505,
        4.711216134227409,
        4.711234254755315,
        4.711252852139219,
        4.711270972667125,
        4.711289570051029,
        4.711307690578935,
        4.711326287962839,
        4.711344408490746,
        4.71136300587465,
        4.711381126402556,
        4.71139972378646,
        4.711417844314366,
        4.71143644169827,
        4.7114545622261765,
        4.7114731596100805,
        4.711491280137986,
        4.71150987752189,
        4.711527998049797,
        4.711546595433701,
        4.711564715961607,
        4.711582836489513,
        4.711601433873417,
        4.711619554401324,
        4.711638151785228,
        4.711656272313134,
        4.711674869697037,
        4.711692990224944,
        4.711711110752851,
        4.711729708136755,
        4.71174782866466,
        4.711766426048564,
        4.711784546576471,
        4.711802667104378,
        4.7118212644882815,
        4.711839385016187,
        4.711857982400091,
        4.711876102927998,
        4.7118942234559045,
        4.7119128208398084,
        4.711930941367714,
        4.711949538751618,
        4.711967659279525,
        4.711985779807431,
        4.7120043771913345,
        4.712022497719241,
        4.712040618247148,
        4.712059215631052,
        4.712077336158957,
        4.712095933542861,
        4.712114054070768,
        4.712132174598675,
        4.712150771982579,
        4.712168892510484,
        4.712187013038391,
        4.712205610422295,
        4.7122237309502015,
        4.712241851478107,
        4.712260448862011,
        4.712278569389918,
        4.7122966899178245,
        4.712315287301728,
        4.712333407829634,
        4.712351528357541,
        4.712370125741445,
        4.712388246269351,
        4.712406366797257,
        4.712424487325164,
        4.712443084709068,
        4.712461205236974,
        4.71247932576488,
        4.712497923148784,
        4.712516043676691,
        4.712534164204597,
        4.7125527615885,
        4.712570882116407,
        4.712589002644314,
        4.71260712317222,
        4.712625720556123,
        4.71264384108403,
        4.7126619616119365,
        4.712680082139842,
        4.712698679523746,
        4.712716800051653,
        4.7127349205795595,
        4.712753041107465,
        4.712771638491369,
        4.712789759019276,
        4.712807879547182,
        4.712826000075088,
        4.712844597458992,
        4.712862717986899,
        4.712880838514805,
        4.712898959042711,
        4.712917079570618,
        4.712935676954522,
        4.712953797482428,
        4.712971918010334,
        4.712990038538241,
        4.713008635922145,
        4.713026756450051,
        4.713044876977957,
        4.7130629975058635,
        4.71308111803377,
        4.713099715417674,
        4.71311783594558,
        4.7131359564734865,
        4.713154077001393,
        4.7131721975293,
        4.7131903180572055,
        4.713208915441109,
        4.713227035969016,
        4.713245156496923,
        4.713263277024828,
        4.713281397552735,
        4.713299518080642,
        4.713318115464546,
        4.713336235992451,
        4.713354356520358,
        4.713372477048265,
        4.71339059757617,
        4.713408718104077,
        4.7134268386319835,
        4.7134454360158875,
        4.713463556543793,
        4.7134816770717,
        4.7134997975996065,
        4.713517918127512,
        4.713536038655419,
        4.713554159183325,
        4.713572279711232,
        4.713590400239138,
        4.713608997623042,
        4.713627118150948,
        4.713645238678854,
        4.713663359206761,
        4.713681479734667,
        4.713699600262574,
        4.71371772079048,
        4.713735841318386,
        4.713753961846293,
        4.713772082374199,
        4.713790202902105,
        4.713808800286009,
        4.713826920813916,
        4.713845041341822,
        4.713863161869728,
        4.713881282397635,
        4.7138994029255405,
        4.713917523453447,
        4.713935643981354,
        4.71395376450926,
        4.713971885037166,
        4.713990005565073,
        4.714008126092979,
        4.714026246620885,
        4.714044367148792,
        4.714062487676698,
        4.714080608204604,
        4.714098728732511,
        4.714116849260417,
        4.714134969788324,
        4.71415309031623,
        4.714171210844136,
        4.714189331372043,
        4.714207451899949,
        4.714225572427855,
        4.714243692955762,
        4.714261813483668,
        4.714279934011574,
        4.714298054539481,
        4.714316175067387,
        4.714334295595293,
        4.7143524161232,
        4.714370536651106,
        4.714388657179012,
        4.714406777706919,
        4.714424898234825,
        4.714443018762731,
        4.714461139290638,
        4.714479259818544,
        4.71449738034645,
        4.714515500874357,
        4.714533621402263,
        4.71455174193017,
        4.714569862458076,
        4.714587982985982,
        4.714606103513889,
        4.714624224041795,
        4.714642344569701,
        4.7146599882416105,
        4.714678108769516,
        4.714696229297423,
        4.714714349825329,
        4.714732470353235,
        4.714750590881142,
        4.714768711409048,
        4.714786831936954,
        4.714804952464861,
        4.714823072992767,
        4.714841193520674,
        4.714858837192582,
        4.714876957720489,
        4.714895078248395,
        4.714913198776301,
        4.714931319304208,
        4.714949439832115,
        4.71496756036002,
        4.714985680887927,
        4.7150038014158335,
        4.715021445087742,
        4.7150395656156485,
        4.715057686143555,
        4.715075806671461,
        4.7150939271993675,
        4.715112047727274,
        4.71513016825518,
        4.715147811927089,
        4.715165932454995,
        4.715184052982901,
        4.715202173510808,
        4.715220294038715,
        4.71523841456662,
        4.71525605823853,
        4.715274178766435,
        4.715292299294342,
        4.715310419822249,
        4.715328540350155,
        4.715346660878061,
        4.71536430454997,
        4.715382425077876,
        4.715400545605783,
        4.715418666133689,
        4.715436786661596,
        4.715454430333504,
        4.715472550861411,
        4.7154906713893165,
        4.715508791917223,
        4.71552691244513,
        4.715544556117038,
        4.715562676644945,
        4.715580797172851,
        4.715598917700757,
        4.715616561372666,
        4.715634681900573,
        4.715652802428479,
        4.715670922956385,
        4.715688566628295,
        4.7157066871562,
        4.715724807684107,
        4.715742928212014,
        4.715760571883922,
        4.715778692411829,
        4.715796812939734,
        4.715814933467641,
        4.71583257713955,
        4.715850697667456,
        4.7158688181953625,
        4.715886938723269,
        4.7159045823951775,
        4.715922702923084,
        4.715940823450991,
        4.715958467122899,
        4.715976587650806,
        4.715994708178712,
        4.716012828706618,
        4.716030472378527,
        4.716048592906433,
        4.71606671343434,
        4.716084357106249,
        4.716102477634155,
        4.716120598162061,
        4.716138241833971,
        4.716156362361876,
        4.716174482889783,
        4.716192126561691,
        4.716210247089598,
        4.7162283676175045,
        4.716246011289413,
        4.7162641318173195,
        4.716282252345226,
        4.7162998960171345,
        4.716318016545041,
        4.716336137072948,
        4.716353780744856,
        4.716371901272763,
        4.7163900218006685,
        4.716407665472578,
        4.716425786000484,
        4.71644390652839,
        4.716461550200299,
        4.716479670728206,
        4.716497314400114,
        4.716515434928021,
        4.716533555455927,
        4.716551199127836,
        4.7165693196557426,
        4.716587440183648,
        4.7166050838555575,
        4.716623204383464,
        4.7166408480553725,
        4.716658968583279,
        4.716677089111185,
        4.716694732783094,
        4.716712853311001,
        4.716730496982909,
        4.716748617510816,
        4.716766261182724,
        4.716784381710631,
        4.716802502238537,
        4.716820145910446,
        4.716838266438352,
        4.716855910110261,
        4.716874030638167,
        4.716891674310077,
        4.716909794837982,
        4.716927915365889,
        4.716945559037797,
        4.716963679565704,
        4.716981323237613,
        4.716999443765519,
        4.717017087437428,
        4.717035207965335,
        4.717052851637243,
        4.71707097216515,
        4.717088615837058,
        4.717106736364965,
        4.717124380036873,
        4.71714250056478,
        4.717160144236689,
        4.717178264764595,
        4.717195908436504,
        4.717214028964411,
        4.717232149492316,
        4.717249793164226,
        4.717267913692131,
        4.717285557364041,
        4.717303201035949,
        4.717321321563856,
        4.717338965235765,
        4.717357085763671,
        4.71737472943558,
        4.7173928499634865,
        4.717410493635395,
        4.7174286141633015,
        4.71744625783521,
        4.7174643783631165,
        4.717482022035025,
        4.7175001425629315,
        4.717517786234841,
        4.7175359067627465,
        4.717553550434656,
        4.717571194106564,
        4.717589314634471,
        4.717606958306379,
        4.717625078834286,
        4.717642722506195,
        4.717660843034101,
        4.71767848670601,
        4.717696607233917,
        4.717714250905825,
        4.717731894577734,
        4.71775001510564,
        4.717767658777549,
        4.718017531320258,
        4.718052818664075,
        4.718070939191982,
        4.71808858286389,
        4.7181062265358,
        4.718124347063705,
        4.718141990735615,
        4.71816011126352,
        4.71817775493543,
        4.718195398607338,
        4.718213519135245,
        4.718231162807154,
        4.718248806479062,
        4.718266927006969,
        4.718284570678877,
        4.7183022143507864,
        4.718320334878693,
        4.718337978550601,
        4.71835562222251,
        4.718373265894419,
        4.718391386422326,
        4.718409030094234,
        4.718426673766143,
        4.718444794294049,
        4.718462437965958,
        4.718480081637867,
        4.718498202165773,
        4.718515845837683,
        4.718533489509591,
        4.7185511331815,
        4.718569253709406,
        4.718586897381315,
        4.718604541053224,
        4.71862266158113,
        4.718640305253039,
        4.718657948924948,
        4.718675592596856,
        4.718693713124763,
        4.718711356796672,
        4.7187290004685805,
        4.71874664414049,
        4.7187647646683955,
        4.718782408340305,
        4.718800052012213,
        4.718817695684122,
        4.718835816212028,
        4.718853459883937,
        4.718871103555846,
        4.718888747227755,
        4.718906867755662,
        4.71892451142757,
        4.718942155099479,
        4.718959798771388,
        4.718977442443297,
        4.718995562971203,
        4.719013206643112,
        4.71903085031502,
        4.7190484939869295,
        4.719066137658838,
        4.7190842581867445,
        4.719101901858654,
        4.719119545530562,
        4.719137189202471,
        4.71915483287438,
        4.719172953402286,
        4.719190597074195,
        4.719208240746104,
        4.719225884418012,
        4.719243528089922,
        4.71926117176183,
        4.719279292289737,
        4.719296935961645,
        4.719314579633554,
        4.719332223305463,
        4.719349866977372,
        4.71936751064928,
        4.719385631177187,
        4.719403274849096,
        4.7194209185210045,
        4.719438562192914,
        4.719456205864822,
        4.719473849536731,
        4.71949149320864,
        4.719509136880549,
        4.719527257408455,
        4.719544901080364,
        4.719562544752272,
        4.719580188424182,
        4.71959783209609,
        4.719615475767999,
        4.719633119439908,
        4.719650763111817,
        4.719668406783725,
        4.721510978358203,
        4.723494699307951,
        4.723515680971842,
        4.723537139491731,
        4.723558121155623,
        4.723579102819514,
        4.723600084483405,
        4.723621066147297,
        4.723642047811189,
        4.72366302947508,
        4.723684011138972,
        4.723705469658861,
        4.723726451322753,
        4.723747432986644,
        4.723768414650536,
        4.7237893963144275,
        4.723810377978319,
        4.723831359642211,
        4.723852341306102,
        4.723873322969993,
        4.723894304633885,
        4.723915763153774,
        4.7239367448176655,
        4.723957726481557,
        4.723978708145449,
        4.72399968980934,
        4.724020671473232,
        4.724041653137124,
        4.724062634801015,
        4.724083616464907,
        4.724104598128799,
        4.72412557979269,
        4.724146561456582,
        4.724167543120473,
        4.724188524784364,
        4.724209506448256,
        4.7242304881121475,
        4.724251469776039,
        4.724272451439931,
        4.724293433103822,
        4.724314414767714,
        4.724335396431606,
        4.724356378095497,
        4.724377359759389,
        4.72439834142328,
        4.724419323087171,
        4.724440304751063,
        4.724461286414955,
        4.724482268078846,
        4.724503249742738,
        4.72452423140663,
        4.724545213070521,
        4.724566194734413,
        4.7245871763983045,
        4.724608158062196,
        4.724629139726088,
        4.7246501213899785,
        4.72467110305387,
        4.724692084717762,
        4.7247130663816534,
        4.724734048045545,
        4.724755029709437,
        4.724775534517331,
        4.724796516181223,
        4.724817497845114,
        4.724838479509005,
        4.724859461172897,
        4.724880442836788,
        4.72490142450068,
        4.724922406164572,
        4.724943387828463,
        4.724964369492355,
        4.7249853511562465,
        4.725005855964141,
        4.7250268376280316,
        4.725047819291923,
        4.725068800955815,
        4.7250897826197065,
        4.725110764283598,
        4.72513174594749,
        4.725152727611381,
        4.725173232419276,
        4.725194214083167,
        4.725215195747058,
        4.72523617741095,
        4.725257159074841,
        4.725278140738733,
        4.725298645546627,
        4.725319627210519,
        4.7253406088744105,
        4.725361590538302,
        4.725382572202194,
        4.725403553866085,
        4.725424058673979,
        4.7254450403378705,
        4.725466022001762,
        4.725487003665654,
        4.725507985329545,
        4.72552849013744,
        4.7255494718013304,
        4.725570453465222,
        4.725591435129114,
        4.725612416793005,
        4.7256329216009,
        4.725653903264791,
        4.725674884928683,
        4.725695866592575,
        4.725716371400468,
        4.72573735306436,
        4.725758334728251,
        4.725779316392143,
        4.725799821200037,
        4.725820802863929,
        4.72584178452782,
        4.725862766191712,
        4.7258832709996055,
        4.725904252663497,
        4.725925234327389,
        4.72594621599128,
        4.725966720799175,
        4.725987702463066,
        4.726008684126958,
        4.726029188934851,
        4.726050170598743,
        4.726071152262635,
        4.726091657070529,
        4.726112638734421,
        4.726133620398312,
        4.726154602062204,
        4.726175106870097,
        4.726196088533989,
        4.7262170701978805,
        4.726237575005775,
        4.726258556669666,
        4.726279538333558,
        4.7263000431414515,
        4.726321024805343,
        4.726342006469235,
        4.726362511277129,
        4.726383492941021,
        4.726404474604912,
        4.726424979412806,
        4.726445961076697,
        4.726466465884592,
        4.726487447548483,
        4.726508429212375,
        4.726528934020269,
        4.72654991568416,
        4.726570897348052,
        4.726591402155946,
        4.7266123838198375,
        4.726632888627732,
        4.726653870291623,
        4.726674851955515,
        4.7266953567634085,
        4.7267163384273,
        4.726736843235194,
        4.726757824899086,
        4.72677832970698,
        4.726799311370871,
        4.7270277253936905,
        4.727048707057582,
        4.7270692118654765,
        4.727090193529368,
        4.727110698337262,
        4.727131680001154,
        4.727152184809047,
        4.727173166472939,
        4.727193671280833,
        4.727214652944725,
        4.727235157752619,
        4.72725613941651,
        4.727276644224404,
        4.727297625888296,
        4.72731813069619,
        4.727339112360082,
        4.727359617167975,
        4.727380598831867,
        4.727401103639761,
        4.727422085303653,
        4.727442590111547,
        4.727463571775439,
        4.727484076583332,
        4.727504581391226,
        4.727525563055118,
        4.727546067863012,
        4.727567049526904,
        4.727587554334797,
        4.727608535998689,
        4.727629040806583,
        4.727649545614478,
        4.727670527278369,
        4.727691032086263,
        4.727712013750154,
        4.7277325185580485,
        4.72775350022194,
        4.727774005029834,
        4.727794509837728,
        4.7278154915016195,
        4.727835996309514,
        4.727856977973405,
        4.727877482781299,
        4.727897987589193,
        4.727918969253085,
        4.727939474060979,
        4.727959978868872,
        4.727980960532764,
        4.728001465340658,
        4.72802244700455,
        4.728042951812444,
        4.728063456620338,
        4.728084438284229,
        4.728104943092124,
        4.728125447900018,
        4.728517900385989,
        4.728538405193883,
        4.728559386857775,
        4.728579891665669,
        4.7286003964735634,
        4.728620901281457,
        4.7286418829453485,
        4.728662387753243,
        4.728682892561137,
        4.7287033973690304,
        4.728724379032922,
        4.728744883840816,
        4.728765388648711,
        4.728785893456604,
        4.728806875120496,
        4.72882737992839,
        4.728847884736284,
        4.728868389544178,
        4.728888894352072,
        4.728909876015964,
        4.728930380823858,
        4.728950885631751,
        4.7289713904396455,
        4.728992372103537,
        4.7290128769114315,
        4.729033381719325,
        4.729053886527219,
        4.729074391335113,
        4.729094896143008,
        4.729115877806899,
        4.729136382614793,
        4.729156887422687,
        4.729177392230581,
        4.729197897038475,
        4.729218401846369,
        4.729239383510261,
        4.729259888318155,
        4.729280393126048,
        4.729300897933943,
        4.729321402741837,
        4.729341907549731,
        4.729362412357625,
        4.729382917165519,
        4.7294038988294105,
        4.729424403637305,
        4.729444908445198,
        4.729465413253092,
        4.729485918060987,
        4.72950642286888,
        4.729526927676774,
        4.729547432484669,
        4.729567937292563,
        4.729650433380137,
        4.72967093818803,
        4.729691442995924,
        4.7297119478038185,
        4.729732452611712,
        4.729752957419606,
        4.7297734622275005,
        4.729793967035395,
        4.729814471843288,
        4.7298349766511825,
        4.729855481459077,
        4.72987598626697,
        4.729896491074864,
        4.729917472738756,
        4.72993797754665,
        4.729958482354544,
        4.729978987162438,
        4.729999491970332,
        4.730019996778227,
        4.73004050158612,
        4.730061006394014,
        4.730081511201909,
        4.730102016009802,
        4.730122520817696,
        4.7301430256255905,
        4.730163530433485,
        4.730184035241378,
        4.7302045400492725,
        4.730225044857167,
        4.73024554966506,
        4.7302660544729545,
        4.730286559280849,
        4.730306587232745,
        4.730327092040639,
        4.730347596848533,
        4.730368101656427,
        4.730388606464321,
        4.730409111272215,
        4.73042961608011,
        4.730450120888003,
        4.730470625695897,
        4.7304911305037916,
        4.730511635311685,
        4.730532140119579,
        4.7305526449274735,
        4.730573149735368,
        4.730593654543261,
        4.7306141593511555,
        4.7306341873030515,
        4.730654692110946,
        4.73067519691884,
        4.730695701726734,
        4.730716206534628,
        4.730736711342522,
        4.730757216150416,
        4.73077772095831,
        4.730798225766204,
        4.730818253718101,
        4.730838758525994,
        4.730859263333889,
        4.730879768141783,
        4.730900272949677,
        4.730920777757571,
        4.730941282565465,
        4.730961310517361,
        4.730981815325255,
        4.7310023201331495,
        4.731022824941044,
        4.731043329748937,
        4.731063834556831,
        4.731084339364726,
        4.731104367316622,
        4.731124872124516,
        4.73114537693241,
        4.731165881740304,
        4.731186386548198,
        4.731206414500095,
        4.731226919307988,
        4.731247424115883,
        4.731267928923777,
        4.73128843373167,
        4.731308461683567,
        4.7313289664914615,
        4.731349471299355,
        4.731369976107249,
        4.7313904809151435,
        4.7314105088670395,
        4.731431013674934,
        4.731451518482828,
        4.7314720232907215,
        4.731492051242618,
        4.731512556050513,
        4.731533060858406,
        4.7315535656663,
        4.731573593618197,
        4.731594098426091,
        4.731614603233985,
        4.731635108041879,
        4.731655135993775,
        4.73167564080167,
        4.731696145609564,
        4.731716650417457,
        4.731736678369354,
        4.7317571831772485,
        4.731777687985142,
        4.731797715937039,
        4.731818220744932,
        4.7318387255528265,
        4.731858753504723,
        4.731879258312617,
        4.731899763120511,
        4.731920267928405,
        4.731940295880301,
        4.731960800688196,
        4.73198130549609,
        4.732001333447986,
        4.73202183825588,
        4.732042343063775,
        4.732062371015671,
        4.732082875823565,
        4.732103380631459,
        4.732123408583355,
        4.7321439133912495,
        4.732164418199144,
        4.73218444615104,
        4.732204950958934,
        4.73222497891083,
        4.732245483718724,
        4.732265988526619,
        4.732286016478515,
        4.732306521286409,
        4.732327026094303,
        4.732347054046199,
        4.732367558854094,
        4.73238758680599,
        4.732408091613884,
        4.732428596421778,
        4.732448624373674,
        4.732469129181569,
        4.732489157133465,
        4.732509661941359,
        4.732530166749253,
        4.732550194701149,
        4.7325706995090435,
        4.7325907274609404,
        4.732611232268834,
        4.732631260220731,
        4.732651765028625,
        4.732671792980521,
        4.732692297788415,
        4.732712802596309,
        4.732732830548206,
        4.7327533353561,
        4.732773363307996,
        4.73279386811589,
        4.732813896067786,
        4.732834400875681,
        4.732854428827578,
        4.732874933635471,
        4.732894961587368,
        4.732915466395262,
        4.732935494347158,
        4.7329559991550525,
        4.7329760271069485,
        4.732996531914843,
        4.73301655986674,
        4.733037064674633,
        4.73305709262653,
        4.7330775974344235,
        4.73309762538632,
        4.733118130194215,
        4.733138158146111,
        4.733158662954005,
        4.733178690905901,
        4.733199195713795,
        4.733219223665692,
        4.733239728473586,
        4.733259756425483,
        4.733280261233377,
        4.733300289185273,
        4.73332031713717,
        4.733340821945063,
        4.73336084989696,
        4.7333813547048535,
        4.7334013826567505,
        4.733421887464645,
        4.733441915416541,
        4.733461943368438,
        4.733482448176331,
        4.733502476128228,
        4.733522980936122,
        4.733543008888018,
        4.733563036839915,
        4.733583541647809,
        4.733603569599706,
        4.7336240744076,
        4.733644102359496,
        4.733664130311393,
        4.733684635119286,
        4.733704663071183,
        4.7337251678790775,
        4.7337451958309735,
        4.7337652237828705,
        4.733785728590764,
        4.733805756542661,
        4.733825784494557,
        4.733846289302451,
        4.733866317254348,
        4.733886345206244,
        4.733906850014138,
        4.733926877966034,
        4.733946905917931,
        4.733967410725825,
        4.733987438677722,
        4.734007466629618,
        4.734027971437512,
        4.734047999389409,
        4.734068027341305,
        4.734088532149199,
        4.734108560101095,
        4.734128588052992,
        4.7341490928608865,
        4.7341691208127825,
        4.7341891487646794,
        4.734209653572573,
        4.73422968152447,
        4.734249709476366,
        4.734269737428263,
        4.734290242236157,
        4.734310270188053,
        4.73433029813995,
        4.734350326091846,
        4.73437083089974,
        4.734390858851636,
        4.734410886803533,
        4.734430914755429,
        4.734451419563324,
        4.7344714475152205,
        4.734491475467117,
        4.7345115034190135,
        4.734532008226907,
        4.734552036178804,
        4.7345720641307,
        4.734592092082597,
        4.734612596890491,
        4.734632624842387,
        4.734652652794284,
        4.73467268074618,
        4.734692708698077,
        4.73471321350597,
        4.734733241457867,
        4.734753269409763,
        4.73477329736166,
        4.734793325313556,
        4.734813830121451,
        4.734833858073348,
        4.734853886025244,
        4.7348739139771405,
        4.734893941929037,
        4.734914446736931,
        4.734934474688827,
        4.734954502640724,
        4.73497453059262,
        4.734994558544517,
        4.735014586496413,
        4.73503461444831,
        4.735055119256204,
        4.7350751472081,
        4.735095175159997,
        4.735115203111893,
        4.73513523106379,
        4.735155259015686,
        4.735175286967583,
        4.735195791775476,
        4.735215819727373,
        4.735235847679269,
        4.735255875631166,
        4.735275903583062,
        4.735295931534959,
        4.735315959486855,
        4.735335987438752,
        4.735356015390648,
        4.735376043342545,
        4.735396548150439,
        4.7354165761023355,
        4.735436604054232,
        4.735456632006128,
        4.735476659958025,
        4.735496687909921,
        4.735516715861818,
        4.735536743813714,
        4.735556771765611,
        4.735576799717507,
        4.735596827669404,
        4.7356168556213,
        4.735636883573197,
        4.735656911525093,
        4.73567693947699,
        4.735696967428886,
        4.735716995380783,
        4.735737023332679,
        4.7357575281405735,
        4.7357775560924695,
        4.7357975840443665,
        4.7358176119962625,
        4.735837639948159,
        4.7358576679000555,
        4.735877695851952,
        4.735897723803848,
        4.735917751755745,
        4.735937779707641,
        4.735957807659538,
        4.736157610322506,
        4.736177638274402,
        4.736197666226299,
        4.736217694178195,
        4.736237722130092,
        4.736257750081988,
        4.736277778033885,
        4.736297805985781,
        4.736317833937678,
        4.736337861889574,
        4.736357889841471,
        4.736377917793367,
        4.736397468889266,
        4.736417496841162,
        4.736437524793059,
        4.736457552744955,
        4.736477580696852,
        4.736497608648748,
        4.736517636600645,
        4.736537664552541,
        4.736557692504438,
        4.736577720456334,
        4.736597271552234,
        4.73661729950413,
        4.736637327456027,
        4.736657355407923,
        4.73667738335982,
        4.736697411311716,
        4.736717439263613,
        4.736736990359511,
        4.736757018311407,
        4.736777046263304,
        4.736797074215201,
        4.736817102167097,
        4.736837130118994,
        4.73685715807089,
        4.736876709166789,
        4.736896737118686,
        4.736916765070582,
        4.736936793022479,
        4.736956820974375,
        4.736976372070274,
        4.7369964000221705,
        4.737016427974067,
        4.7370364559259635,
        4.73705648387786,
        4.737076034973759,
        4.737096062925656,
        4.737116090877552,
        4.737136118829449,
        4.737156146781345,
        4.737175697877244,
        4.737195725829141,
        4.737215753781037,
        4.737235781732934,
        4.737255332828832,
        4.737275360780729,
        4.737295388732625,
        4.737315416684522,
        4.737335444636418,
        4.737354995732318,
        4.737375023684214,
        4.737395051636111,
        4.737415079588007,
        4.7374346306839055,
        4.737454658635802,
        4.737474686587698,
        4.737494237683598,
        4.737514265635494,
        4.737534293587391,
        4.737554321539287,
        4.737573872635187,
        4.737593900587083,
        4.73761392853898,
        4.737633479634878,
        4.737653507586774,
        4.737673535538671,
        4.73769308663457,
        4.737713114586467,
        4.737733142538363,
        4.73775317049026,
        4.7377727215861585,
        4.7377927495380545,
        4.737812777489951,
        4.73783232858585,
        4.737852356537747,
        4.737872384489643,
        4.737891935585543,
        4.737911963537439,
        4.737931991489336,
        4.737951542585234,
        4.73797157053713,
        4.73799112163303,
        4.738011149584926,
        4.738031177536823,
        4.738050728632722,
        4.7380707565846185,
        4.7380907845365146,
        4.738110335632413,
        4.73813036358431,
        4.738149914680209,
        4.738169942632106,
        4.738189970584002,
        4.738209521679901,
        4.738229549631797,
        4.738249100727696,
        4.738269128679593,
        4.738289156631489,
        4.738308707727389,
        4.738328735679285,
        4.738348286775183,
        4.73836831472708,
        4.738388342678976,
        4.738407893774876,
        4.738427921726772,
        4.7384474728226715,
        4.738467500774568,
        4.738487051870466,
        4.738507079822363,
        4.738526630918262,
        4.738546658870159,
        4.738566686822055,
        4.738586237917954,
        4.7386062658698505,
        4.738625816965749,
        4.738645844917646,
        4.738665396013545,
        4.738685423965442,
        4.73870497506134,
        4.738725003013237,
        4.738744554109136,
        4.738764582061032,
        4.738784133156932,
        4.738804161108828,
        4.738823712204726,
        4.738843740156623,
        4.738863291252522,
        4.738883319204419,
        4.7389028703003175,
        4.7389228982522145,
        4.738942449348113,
        4.738962477300009,
        4.738982028395909,
        4.739002056347805,
        4.739021607443704,
        4.739041158539603,
        4.739061186491499,
        4.739080737587399,
        4.739100765539295,
        4.739120316635193,
        4.73914034458709,
        4.739159895682989,
        4.739179923634886,
        4.739199474730785,
        4.739219025826683,
        4.73923905377858,
        4.739258604874479,
        4.739278632826376,
        4.7392981839222745,
        4.7393182118741715,
        4.73933776297007,
        4.739357314065969,
        4.739377342017866,
        4.739396893113764,
        4.7394169210656605,
        4.73943647216156,
        4.739456023257459,
        4.739476051209356,
        4.739495602305254,
        4.739515153401153,
        4.73953518135305,
        4.739554732448949,
        4.739574760400845,
        4.739594311496744,
        4.739613862592643,
        4.73963389054454,
        4.739653441640439,
        4.739672992736337,
        4.739693020688234,
        4.739712571784133,
        4.7397321228800315,
        4.7397521508319285,
        4.739771701927827,
        4.739791253023726,
        4.739811280975623,
        4.7398308320715214,
        4.739850383167421,
        4.739870411119317,
        4.739889962215216,
        4.739909513311115,
        4.739929541263011,
        4.739949092358911,
        4.73996864345481,
        4.739988671406706,
        4.740008222502605,
        4.740027773598504,
        4.740047324694403,
        4.7400673526462995,
        4.740086903742198,
        4.740106454838097,
        4.740126482789994,
        4.7401460338858925,
        4.740165584981791,
        4.740185136077691,
        4.740205164029587,
        4.740224715125486,
        4.740244266221385,
        4.740263817317284,
        4.740283845269181,
        4.740303396365079,
        4.740322947460978,
        4.740342498556878,
        4.740362526508774,
        4.740382077604672,
        4.740401628700572,
        4.740421179796471,
        4.740440730892369,
        4.740460758844266,
        4.740480309940165,
        4.740499861036064,
        4.740519412131963,
        4.740539440083859,
        4.740558991179759,
        4.7405785422756574,
        4.740598093371556,
        4.740617644467456,
        4.740637195563354,
        4.74065722351525,
        4.74067677461115,
        4.740696325707049,
        4.740715876802947,
        4.740735427898847,
        4.740755455850743,
        4.740775006946642,
        4.740794558042541,
        4.74081410913844,
        4.740833660234339,
        4.740853211330238,
        4.740872762426137,
        4.740892790378033,
        4.7409123414739325,
        4.740931892569831,
        4.74095144366573,
        4.740970994761629,
        4.740990545857528,
        4.741010096953427,
        4.741029648049326,
        4.741049676001222,
        4.741069227097121,
        4.741088778193021,
        4.741108329288919,
        4.741127880384818,
        4.741147431480718,
        4.741166982576616,
        4.741186533672515,
        4.741206084768414,
        4.741225635864313,
        4.741245663816209,
        4.741265214912109,
        4.7412847660080075,
        4.741304317103906,
        4.741323868199806,
        4.7413434192957045,
        4.741362970391603,
        4.741382521487502,
        4.741402072583401,
        4.7414216236793,
        4.741441174775199,
        4.741460725871098,
        4.741480276966997,
        4.741499828062896,
        4.741519379158795,
        4.741538930254694,
        4.741558481350593,
        4.741578032446491,
        4.741597583542391,
        4.741617611494287,
        4.7416371625901865,
        4.741656713686085,
        4.741676264781984,
        4.7416958158778835,
        4.741715366973782,
        4.741734918069681,
        4.7417544691655795,
        4.741774020261479,
        4.741793571357378,
        4.7418131224532765,
        4.741832196693178,
        4.741851747789077,
        4.741871298884976,
        4.741890849980875,
        4.741910401076774,
        4.741929952172673,
        4.741949503268572,
        4.741969054364471,
        4.74198860546037,
        4.742008156556269,
        4.742027707652168,
        4.742047258748067,
        4.742066809843966,
        4.742086360939864,
        4.742105912035764,
        4.7421254631316625,
        4.742145014227561,
        4.742164565323461,
        4.742184116419359,
        4.742203667515258,
        4.7422227417551595,
        4.742242292851059,
        4.742261843946958,
        4.742281395042856,
        4.742300946138756,
        4.742320497234655,
        4.742340048330553,
        4.742359599426453,
        4.742379150522352,
        4.74239870161825,
        4.742417775858152,
        4.742437326954051,
        4.74245687804995,
        4.7424764291458485,
        4.742495980241747,
        4.742515531337647,
        4.7425350824335455,
        4.742554156673447,
        4.7425737077693455,
        4.742593258865245,
        4.742612809961144,
        4.7426323610570424,
        4.742651912152942,
        4.742671463248841,
        4.742690537488742,
        4.742710088584641,
        4.74272963968054,
        4.742749190776439,
        4.742768741872338,
        4.742788292968237,
        4.742807367208139,
        4.742826918304037,
        4.742846469399936,
        4.7428660204958355,
        4.742885571591734,
        4.7429046458316355,
        4.742924196927534,
        4.742943748023434,
        4.7429632991193325,
        4.742982850215231,
        4.7430019244551325,
        4.743021475551032,
        4.743041026646931,
        4.743060577742829,
        4.743079651982731,
        4.74309920307863,
        4.743118754174529,
        4.743138305270428,
        4.743157379510329,
        4.743176930606229,
        4.743196481702127,
        4.743216032798026,
        4.743235107037927,
        4.743254658133827,
        4.7432742092297255,
        4.743293760325624,
        4.7433128345655255,
        4.743332385661425,
        4.743351936757324,
        4.7433714878532225,
        4.743390562093124,
        4.743410113189023,
        4.743429664284922,
        4.743448738524823,
        4.743468289620722,
        4.743487840716622,
        4.743506914956523,
        4.743526466052422,
        4.743546017148321,
        4.74356556824422,
        4.743584642484121,
        4.74360419358002,
        4.7436237446759195,
        4.743642818915821,
        4.7436623700117195,
        4.743681921107618,
        4.7437009953475195,
        4.743720546443419,
        4.743740097539318,
        4.743759171779219,
        4.743778722875118,
        4.743798273971017,
        4.743817348210919,
        4.743836899306817,
        4.743855973546719,
        4.743875524642617,
        4.743895075738517,
        4.743914149978418,
        4.743933701074317,
        4.743953252170216,
        4.743972326410118,
        4.743991877506017,
        4.744010951745918,
        4.744030502841817,
        4.744050053937716,
        4.7440691281776175,
        4.744088679273516,
        4.7441077535134175,
        4.744127304609316,
        4.744146855705216,
        4.744165929945117,
        4.744185481041016,
        4.744204555280917,
        4.744224106376817,
        4.744243180616718,
        4.744262731712617,
        4.744282282808515,
        4.744301357048417,
        4.744320908144316,
        4.744339982384218,
        4.744359533480116,
        4.744378607720018,
        4.744398158815916,
        4.7444172330558185,
        4.744436784151717,
        4.744456335247616,
        4.744475409487517,
        4.744494960583417,
        4.744514034823318,
        4.744533585919217,
        4.744552660159118,
        4.744572211255017,
        4.744591285494919,
        4.744610836590818,
        4.744629910830719,
        4.744649461926618,
        4.744668536166519,
        4.744688087262419,
        4.74470716150232,
        4.744726712598219,
        4.74474578683812,
        4.744765337934019,
        4.744784412173921,
        4.74480396326982,
        4.744823037509721,
        4.74484258860562,
        4.744861662845521,
        4.744880737085422,
        4.744900288181322,
        4.744919362421223,
        4.744938913517122,
        4.744957987757023,
        4.744977538852923,
        4.744996613092824,
        4.745016164188723,
        4.745035238428624,
        4.745054312668525,
        4.745073863764425,
        4.745092938004326,
        4.745112489100225,
        4.745131563340126,
        4.745151114436025,
        4.745170188675926,
        4.7451892629158285,
        4.745208814011727,
        4.745420538074633,
        4.745439612314534,
        4.745459163410433,
        4.745478237650334,
        4.745497788746234,
        4.745516862986135,
        4.745535937226037,
        4.745555488321935,
        4.745574562561837,
        4.745593636801738,
        4.7456131878976375,
        4.745632262137539,
        4.74565133637744,
        4.745670887473339,
        4.74568996171324,
        4.7457090359531415,
        4.745728587049041,
        4.745747661288942,
        4.745766735528844,
        4.745785809768745,
        4.745805360864644,
        4.745824435104545,
        4.745843509344446,
        4.745863060440346,
        4.745882134680247,
        4.745901208920149,
        4.745920760016047,
        4.745939834255949,
        4.745958908495851,
        4.745977982735752,
        4.745997533831651,
        4.746016608071552,
        4.746035682311454,
        4.746054756551355,
        4.7460743076472545,
        4.746093381887156,
        4.746112456127057,
        4.7461315303669585,
        4.746151081462857,
        4.7461701557027585,
        4.74618922994266,
        4.746208304182561,
        4.746227855278461,
        4.746246929518362,
        4.746266003758263,
        4.746285077998165,
        4.746304629094063,
        4.746323703333965,
        4.746342777573867,
        4.746361851813768,
        4.74638092605367,
        4.746400477149568,
        4.74641955138947,
        4.746438625629371,
        4.746457699869272,
        4.7464767741091745,
        4.746496325205073,
        4.7465153994449745,
        4.746534473684876,
        4.746553547924777,
        4.7465726221646785,
        4.74659169640458,
        4.746611247500479,
        4.746630321740381,
        4.746649395980282,
        4.746668470220183,
        4.746687544460085,
        4.746706618699986,
        4.746726169795885,
        4.746745244035787,
        4.746764318275688,
        4.74678339251559,
        4.746802466755491,
        4.746821540995392,
        4.7468406152352935,
        4.746860166331192,
        4.746879240571094,
        4.746898314810996,
        4.746917389050897,
        4.746936463290798,
        4.7469555375307,
        4.746974611770601,
        4.746993686010502,
        4.747012760250404,
        4.747032311346302,
        4.747051385586205,
        4.747070459826106,
        4.747089534066007,
        4.747108608305909,
        4.74712768254581,
        4.747146756785711,
        4.747165831025613,
        4.747184905265514,
        4.747203979505415,
        4.7472230537453175,
        4.747242127985219,
        4.74726120222512,
        4.7472802764650215,
        4.74729982756092,
        4.7473189018008215,
        4.747337976040723,
        4.747357050280624,
        4.747376124520526,
        4.747395198760428,
        4.747414273000329,
        4.74743334724023,
        4.747452421480132,
        4.747471495720033,
        4.747490569959934,
        4.747509644199836,
        4.747528718439737,
        4.747547792679638,
        4.7475668669195406,
        4.747585941159442,
        4.747605015399343,
        4.7476240896392445,
        4.747643163879146,
        4.747662238119047,
        4.7476813123589485,
        4.74770038659885,
        4.747719460838751,
        4.747738535078653,
        4.747757609318555,
        4.747776683558456,
        4.747795757798357,
        4.747814832038259,
        4.74783390627816,
        4.747852980518061,
        4.747872054757963,
        4.747891128997864,
        4.747909726381768,
        4.747928800621669,
        4.747947874861571,
        4.747966949101473,
        4.747986023341374,
        4.7480050975812755,
        4.748024171821177,
        4.748043246061078,
        4.7480623203009795,
        4.748081394540881,
        4.748100468780782,
        4.7481195430206835,
        4.748138617260585,
        4.748157691500487,
        4.74817628888439,
        4.748195363124292,
        4.748214437364194,
        4.748233511604095,
        4.748252585843996,
        4.748271660083898,
        4.748290734323799,
        4.7483098085637,
        4.748328882803602,
        4.748347480187506,
        4.748366554427407,
        4.748385628667308,
        4.74840470290721,
        4.748423777147112,
        4.748442851387013,
        4.7484619256269145,
        4.7484805230108185,
        4.74849959725072,
        4.748518671490621,
        4.7485377457305225,
        4.748556819970424,
        4.748575894210325,
        4.748594491594229,
        4.74861356583413,
        4.748632640074032,
        4.748651714313933,
        4.748670788553835,
        4.748689862793737,
        4.748708460177641,
        4.748727534417542,
        4.748746608657443,
        4.748765682897345,
        4.748784757137246,
        4.74880335452115,
        4.748822428761051,
        4.7488415030009525,
        4.748860577240854,
        4.748879651480755,
        4.748898248864659,
        4.7489173231045605,
        4.748936397344462,
        4.748955471584363,
        4.748974068968267,
        4.7489931432081685,
        4.749012217448071,
        4.749031291687972,
        4.749049889071876,
        4.749068963311777,
        4.749088037551679,
        4.74910711179158,
        4.749125709175484,
        4.749144783415385,
        4.749163857655287,
        4.749182931895188,
        4.749201529279092,
        4.749220603518993,
        4.7492396777588946,
        4.749258751998796,
        4.7492773493827,
        4.749296423622601,
        4.7493154978625025,
        4.7493340952464065,
        4.749353169486308,
        4.74937224372621,
        4.749391317966111,
        4.749409915350015,
        4.749428989589917,
        4.749448063829818,
        4.749466661213722,
        4.749485735453623,
        4.749504809693525,
        4.749523407077429,
        4.74954248131733,
        4.749561555557231,
        4.749580152941135,
        4.7495992271810366,
        4.749618301420938,
        4.749636898804842,
        4.749655973044743,
        4.7496750472846445,
        4.7496936446685485,
        4.74971271890845,
        4.749731793148351,
        4.749750390532255,
        4.7497694647721564,
        4.74978806215606,
        4.749807136395962,
        4.749826210635863,
        4.749844808019767,
        4.749863882259668,
        4.74988295649957,
        4.749901553883474,
        4.749920628123375,
        4.749939225507279,
        4.74995829974718,
        4.7499773739870825,
        4.749995971370986,
        4.750015045610888,
        4.750033642994791,
        4.750052717234693,
        4.7500717914745945,
        4.750090388858498,
        4.7501094630984,
        4.750128060482304,
        4.750147134722205,
        4.750165732106109,
        4.75018480634601,
        4.750203880585912,
        4.750222477969816,
        4.750241552209717,
        4.750260149593621,
        4.750279223833522,
        4.750297821217426,
        4.750316895457328,
        4.750335492841232,
        4.750354567081133,
        4.750373164465037,
        4.750392238704938,
        4.750410836088842,
        4.7504299103287435,
        4.750448984568645,
        4.750467581952549,
        4.75048665619245,
        4.750505253576354,
        4.750524327816255,
        4.750542925200159,
        4.750561999440061,
        4.750580596823965,
        4.750599671063866,
        4.75061826844777,
        4.750637342687671,
        4.750655940071575,
        4.750675014311477,
        4.750693611695381,
        4.750712209079285,
        4.750731283319186,
        4.75074988070309,
        4.750768954942991,
        4.750787552326895,
        4.7508066265667965,
        4.7508252239507005,
        4.750844298190602,
        4.750862895574506,
        4.750881969814407,
        4.750900567198311,
        4.750919164582215,
        4.750938238822116,
        4.75095683620602,
        4.750975910445922,
        4.750994507829826,
        4.751013582069727,
        4.751032179453631,
        4.751050776837535,
        4.751069851077436,
        4.75108844846134,
        4.751107522701242,
        4.751126120085146,
        4.751145194325047,
        4.751163791708951,
        4.751182389092854,
        4.751201463332756,
        4.751220060716659,
        4.751238658100563,
        4.751257732340465,
        4.7512763297243685,
        4.75129540396427,
        4.751314001348174,
        4.751332598732078,
        4.751351672971979,
        4.751370270355883,
        4.751388867739787,
        4.751407941979688,
        4.751426539363592,
        4.751445613603494,
        4.751464210987398,
        4.751482808371302,
        4.751501882611203,
        4.751520479995107,
        4.751539077379011,
        4.751558151618912,
        4.751576749002816,
        4.75159534638672,
        4.7516144206266215,
        4.7516330180105255,
        4.7516516153944295,
        4.7516702127783335,
        4.751689287018235,
        4.751707884402139,
        4.751726481786043,
        4.751745556025944,
        4.751764153409848,
        4.751782750793752,
        4.751801825033653,
        4.751820422417557,
        4.75183901980146,
        4.751857617185364,
        4.751876691425266,
        4.75189528880917,
        4.751913886193074,
        4.751932960432975,
        4.751951557816879,
        4.751970155200783,
        4.751988752584687,
        4.752007826824588,
        4.752026424208492,
        4.752045021592396,
        4.7520636189763,
        4.7520826932162015,
        4.752101290600105,
        4.752119887984009,
        4.752138485367913,
        4.752157559607815,
        4.752176156991719,
        4.752194754375623,
        4.752213351759526,
        4.75223194914343,
        4.752251023383331,
        4.752269620767235,
        4.752288218151139,
        4.752306815535043,
        4.752325412918947,
        4.752344487158848,
        4.752363084542752,
        4.752381681926656,
        4.75240027931056,
        4.752418876694464,
        4.7524379509343655,
        4.7524565483182695,
        4.752475145702173,
        4.752493743086077,
        4.7525123404699805,
        4.752531414709883,
        4.752550012093786,
        4.75256860947769,
        4.752587206861594,
        4.752605804245498,
        4.752624401629402,
        4.752642999013306,
        4.752662073253207,
        4.752680670637111,
        4.752699268021015,
        4.752717865404919,
        4.752736462788823,
        4.752755060172727,
        4.75277365755663,
        4.752792731796532,
        4.752811329180435,
        4.752829926564339,
        4.752848523948243,
        4.752867121332147,
        4.752885718716051,
        4.752904316099955,
        4.752922913483859,
        4.752941510867763,
        4.752960585107664,
        4.752979182491568,
        4.752997779875472,
        4.753016377259376,
        4.753034974643279,
        4.753053572027183,
        4.753072169411087,
        4.753090766794991,
        4.753109364178895,
        4.753127961562799,
        4.753146558946703,
        4.753165156330607,
        4.753183753714511,
        4.7532028279544125,
        4.7532214253383165,
        4.7532400227222205,
        4.7532586201061235,
        4.7532772174900275,
        4.7532958148739315,
        4.7533144122578355,
        4.753333009641739,
        4.753351607025643,
        4.753370204409547,
        4.753388801793451,
        4.753407399177355,
        4.753425996561259,
        4.753444593945162,
        4.753463191329066,
        4.75348178871297,
        4.753500386096874,
        4.753518983480778,
        4.753537580864682,
        4.753556178248586,
        4.75357477563249,
        4.753593373016394,
        4.753611970400298,
        4.753630567784201,
        4.753649165168105,
        4.753667762552009,
        4.753686359935913,
        4.753704957319817,
        4.753723554703721,
        4.753742152087625,
        4.753760749471529,
        4.753779346855433,
        4.753797944239337,
        4.75381654162324,
        4.753835139007144,
        4.753853736391048,
        4.753872333774952,
        4.753890454302859,
        4.753909051686763,
        4.753927649070667,
        4.7539462464545705,
        4.753964843838474,
        4.753983441222378,
        4.754002038606282,
        4.7540206359901855,
        4.7540392333740895,
        4.7540578307579935,
        4.7540764281418975,
        4.754095025525801,
        4.754113146053707,
        4.754131743437611,
        4.754150340821515,
        4.754168938205419,
        4.754187535589323,
        4.754206132973227,
        4.754224730357131,
        4.754243327741035,
        4.754261925124939,
        4.754280045652845,
        4.754298643036749,
        4.754317240420653,
        4.754335837804557,
        4.754354435188461,
        4.7543730325723645,
        4.7543916299562685,
        4.7544102273401725,
        4.754428347868078,
        4.754446945251982,
        4.754465542635886,
        4.75448414001979,
        4.754502737403694,
        4.754521334787598,
        4.754539455315505,
        4.754558052699408,
        4.754576650083312,
        4.754595247467216,
        4.75461384485112,
        4.754798864978164,
        4.754817462362068,
        4.7548355828899735,
        4.7548541802738775,
        4.7548727776577815,
        4.7548913750416855,
        4.754909495569592,
        4.754928092953496,
        4.7549466903374,
        4.754965287721303,
        4.75498340824921,
        4.755002005633114,
        4.755020603017018,
        4.755039200400922,
        4.755057797784826,
        4.755075918312731,
        4.755094515696635,
        4.755113113080539,
        4.755131233608446,
        4.75514983099235,
        4.755168428376254,
        4.755187025760158,
        4.755205146288064,
        4.7552237436719675,
        4.7552423410558715,
        4.7552609384397755,
        4.755279058967682,
        4.755297656351586,
        4.75531625373549,
        4.755334374263396,
        4.7553529716473,
        4.755371569031204,
        4.75538968955911,
        4.755408286943014,
        4.755426884326918,
        4.755445004854824,
        4.755463602238728,
        4.755482199622632,
        4.755500320150539,
        4.755518917534443,
        4.7555375149183465,
        4.755555635446252,
        4.755574232830156,
        4.75559283021406,
        4.755610950741967,
        4.755629548125871,
        4.755648145509775,
        4.7556662660376805,
        4.7556848634215845,
        4.7557034608054884,
        4.755721581333395,
        4.755740178717299,
        4.755758776101203,
        4.755776896629109,
        4.755795494013013,
        4.755813614540919,
        4.755832211924823,
        4.755850809308727,
        4.755868929836633,
        4.755887527220537,
        4.755906124604441,
        4.755924245132348,
        4.7559428425162515,
        4.755960963044157,
        4.755979560428061,
        4.755997680955968,
        4.756016278339872,
        4.756034875723776,
        4.756052996251682,
        4.7560715936355855,
        4.756089714163492,
        4.756108311547396,
        4.7561269089313,
        4.756145029459207,
        4.756163626843111,
        4.756181747371016,
        4.75620034475492,
        4.756218465282827,
        4.756237062666731,
        4.756255183194637,
        4.756273780578541,
        4.756292377962445,
        4.756310498490351,
        4.756329095874255,
        4.756347216402162,
        4.756365813786065,
        4.7563839343139716,
        4.7564025316978755,
        4.756420652225782,
        4.756439249609686,
        4.756457370137592,
        4.756475967521496,
        4.756494088049402,
        4.756512685433306,
        4.756530805961213,
        4.756549403345116,
        4.756567523873023,
        4.756586121256927,
        4.756604241784833,
        4.756622839168737,
        4.756640959696643,
        4.756659557080547,
        4.756677677608454,
        4.756696274992358,
        4.756714395520263,
        4.756732992904167,
        4.756751113432074,
        4.7567692339599805,
        4.7567878313438845,
        4.75680595187179,
        4.756824549255694,
        4.756842669783601,
        4.756861267167505,
        4.756879387695411,
        4.7568979850793145,
        4.756916105607221,
        4.756934226135128,
        4.756952823519032,
        4.756970944046937,
        4.756989541430841,
        4.757007661958748,
        4.757026259342652,
        4.757044379870559,
        4.757062500398464,
        4.757081097782368,
        4.757099218310275,
        4.757117815694179,
        4.7571359362220855,
        4.757154056749991,
        4.757172654133895,
        4.757190774661802,
        4.757209372045706,
        4.7572274925736115,
        4.757245613101518,
        4.757264210485422,
        4.757282331013329,
        4.757300928397233,
        4.7573190489251385,
        4.757337169453045,
        4.757355766836949,
        4.757373887364856,
        4.757392007892761,
        4.757410605276665,
        4.757428725804572,
        4.757446846332479,
        4.757465443716383,
        4.757483564244288,
        4.757501684772195,
        4.757520282156099,
        4.7575384026840055,
        4.757556523211911,
        4.757575120595815,
        4.757593241123722,
        4.7576113616516285,
        4.7576299590355315,
        4.757648079563438,
        4.757666200091345,
        4.757684797475249,
        4.7577029180031545,
        4.757721038531061,
        4.757739635914965,
        4.757757756442872,
        4.757775876970777,
        4.757793997498684,
        4.757812594882588,
        4.757830715410495,
        4.7578488359384,
        4.757867433322304,
        4.757885553850211,
        4.757903674378118,
        4.757921794906023,
        4.757940392289927,
        4.757958512817834,
        4.7579766333457405,
        4.757994753873646,
        4.75801335125755,
        4.758031471785457,
        4.758049592313363,
        4.758067712841269,
        4.758086310225173,
        4.75810443075308,
        4.758122551280986,
        4.758140671808892,
        4.758159269192796,
        4.758177389720703,
        4.758195510248609,
        4.758213630776515,
        4.758232228160419,
        4.758250348688326,
        4.758268469216232,
        4.758286589744138,
        4.758304710272045,
        4.758323307655949,
        4.758341428183855,
        4.758359548711761,
        4.7583776692396675,
        4.758395789767574,
        4.758414387151478,
        4.758432507679384,
        4.7584506282072905,
        4.758468748735197,
        4.758486869263103,
        4.758504989791009,
        4.758523587174913,
        4.75854170770282,
        4.758559828230726,
        4.758577948758632,
        4.758596069286539,
        4.758614189814446,
        4.758632787198349,
        4.758650907726255,
        4.758669028254162,
        4.7586871487820686,
        4.758705269309974,
        4.758723389837881,
        4.7587415103657875,
        4.7587601077496915,
        4.758778228277597,
        4.758796348805504,
        4.7588144693334105,
        4.758832589861316,
        4.758850710389223,
        4.758868830917129,
        4.758886951445035,
        4.758905071972942,
        4.758923669356846,
        4.758941789884752,
        4.758959910412658,
        4.758978030940565,
        4.758996151468471,
        4.759014271996377,
        4.759032392524284,
        4.75905051305219,
        4.759068633580097,
        4.759086754108003,
        4.759104874635909,
        4.759123472019813,
        4.75914159254772,
        4.759159713075626,
        4.759177833603532,
        4.759195954131439,
        4.7592140746593445,
        4.759232195187251,
        4.759250315715158,
        4.7592684362430635,
        4.75928655677097,
        4.759304677298877,
        4.759322797826783,
        4.759340918354689,
        4.759359038882596,
        4.759377159410502,
        4.759395279938408,
        4.759413400466315,
        4.759431520994221,
        4.759449641522127,
        4.759467762050034,
        4.75948588257794,
        4.759504003105847,
        4.759522123633753,
        4.759540244161659,
        4.759558364689566,
        4.759576485217472,
        4.759594605745378,
        4.759612726273285,
        4.7596308468011905,
        4.759648967329097,
        4.759667087857004,
        4.75968520838491,
        4.759703328912816,
        4.759721449440723,
        4.759739569968629,
        4.759757690496535,
        4.759775811024442,
        4.759793931552348,
        4.759812052080254,
        4.759830172608161,
        4.759848293136067,
        4.759866413663973,
        4.75988453419188,
        4.759902654719786,
        4.759920775247693,
        4.759938895775599,
        4.759957016303505,
        4.759974659975414,
        4.75999278050332,
        4.760010901031227,
        4.760029021559133,
        4.760047142087039,
        4.760065262614946,
        4.760083383142852,
        4.760101503670758,
        4.760119624198665,
        4.760137744726571,
        4.760155865254477,
        4.760173508926386,
        4.760191629454293,
        4.760209749982199,
        4.760227870510105,
        4.760245991038012,
        4.760264111565918,
        4.760282232093824,
        4.760300352621731,
        4.7603184731496375,
        4.760336116821546,
        4.7603542373494525,
        4.760372357877358,
        4.760390478405265,
        4.7604085989331715,
        4.760426719461078,
        4.760444839988984,
        4.760462483660893,
        4.760480604188799,
        4.760498724716705,
        4.760516845244612,
        4.760534965772518,
        4.760553086300424,
        4.760570729972334,
        4.760588850500239,
        4.760606971028146,
        4.760625091556053,
        4.760643212083958,
        4.760661332611865,
        4.760678976283774,
        4.76069709681168,
        4.760715217339587,
        4.760733337867493,
        4.760751458395399,
        4.760769102067308,
        4.760787222595215,
        4.7608053431231205,
        4.760823463651027,
        4.760841584178934,
        4.760859227850842,
        4.760877348378749,
        4.760895468906655,
        4.760913589434561,
        4.76093123310647,
        4.760949353634377,
        4.760967474162283,
        4.760985594690189,
        4.761003715218096,
        4.761201610457073,
        4.7612192541289815,
        4.761237374656888,
        4.761255495184795,
        4.7612736157127005,
        4.76129125938461,
        4.7613093799125155,
        4.761327500440422,
        4.761345144112331,
        4.761363264640237,
        4.761381385168144,
        4.76139950569605,
        4.761417149367959,
        4.761435269895865,
        4.761453390423772,
        4.76147103409568,
        4.761489154623587,
        4.7615072751514935,
        4.761524918823402,
        4.7615430393513085,
        4.761561159879214,
        4.7615788035511235,
        4.76159692407903,
        4.761615044606936,
        4.761632688278845,
        4.761650808806752,
        4.7616689293346575,
        4.761686573006567,
        4.7617046935344725,
        4.761722814062379,
        4.761740457734288,
        4.761758578262194,
        4.761776221934103,
        4.761794342462009,
        4.761812462989916,
        4.761830106661825,
        4.761848227189731,
        4.761866347717637,
        4.7618839913895465,
        4.761902111917452,
        4.7619197555893615,
        4.761937876117267,
        4.761955996645174,
        4.761973640317083,
        4.761991760844989,
        4.762009404516898,
        4.762027525044805,
        4.7620456455727105,
        4.76206328924462,
        4.7620814097725255,
        4.762099053444435,
        4.762117173972341,
        4.76213481764425,
        4.762152938172156,
        4.762171058700063,
        4.762188702371971,
        4.762206822899878,
        4.762224466571786,
        4.762242587099693,
        4.762260230771601,
        4.762278351299508,
        4.762295994971417,
        4.762314115499323,
        4.7623322360272295,
        4.762349879699138,
        4.7623680002270445,
        4.762385643898954,
        4.7624037644268595,
        4.762421408098769,
        4.762439528626675,
        4.762457172298584,
        4.76247529282649,
        4.762492936498399,
        4.762511057026305,
        4.762528700698214,
        4.76254682122612,
        4.76256446489803,
        4.762582585425935,
        4.762600229097845,
        4.762618349625751,
        4.76263599329766,
        4.762654113825566,
        4.762671757497475,
        4.762689878025381,
        4.76270752169729,
        4.762725642225196,
        4.7627432858971055,
        4.762761406425011,
        4.7627790500969205,
        4.762797170624826,
        4.7628148142967355,
        4.764848128270227,
        4.767059786386796,
        4.767081244906685,
        4.767102226570577,
        4.767123685090466,
        4.7671446667543576,
        4.7671661252742465,
        4.767187106938138,
        4.767208565458027,
        4.767230023977917,
        4.767251005641808,
        4.767272464161698,
        4.767293445825589,
        4.767314904345478,
        4.76733588600937,
        4.767357344529259,
        4.767378326193151,
        4.76739978471304,
        4.767420766376931,
        4.76744222489682,
        4.767463206560712,
        4.767484665080601,
        4.7675056467444925,
        4.7675271052643815,
        4.767548086928273,
        4.767569545448162,
        4.767590527112054,
        4.767611985631943,
        4.767632967295834,
        4.767654425815723,
        4.767675407479615,
        4.767696865999504,
        4.767717847663396,
        4.767738829327287,
        4.767760287847176,
        4.767781269511068,
        4.767802728030957,
        4.767823709694849,
        4.767845168214738,
        4.767866149878629,
        4.767887608398518,
        4.76790859006241,
        4.7679295717263015,
        4.7679510302461905,
        4.767972011910082,
        4.768162754309096,
        4.768183735972988,
        4.76820471763688,
        4.768226176156769,
        4.76824715782066,
        4.768268616340549,
        4.768289598004441,
        4.7683105796683325,
        4.7683320381882215,
        4.768353019852113,
        4.768374001516005,
        4.768395460035894,
        4.768416441699785,
        4.768437423363676,
        4.768458881883566,
        4.768479863547458,
        4.768500845211348,
        4.768522303731238,
        4.768543285395129,
        4.768564267059021,
        4.76858572557891,
        4.768606707242801,
        4.768627688906693,
        4.768648670570585,
        4.768670129090474,
        4.768691110754365,
        4.768712092418257,
        4.768733550938146,
        4.7687545326020375,
        4.768775514265929,
        4.768796495929821,
        4.76881795444971,
        4.768838936113601,
        4.768859917777493,
        4.768880899441385,
        4.768902357961274,
        4.768923339625165,
        4.768944321289057,
        4.768965302952949,
        4.768986761472838,
        4.769007743136729,
        4.769028724800621,
        4.7690497064645125,
        4.7690711649844015,
        4.769092146648293,
        4.769113128312185,
        4.769134109976076,
        4.769155091639967,
        4.769176550159856,
        4.769197531823748,
        4.7692185134876395,
        4.769239495151531,
        4.769260476815423,
        4.769281935335312,
        4.769302916999203,
        4.769323898663095,
        4.769344880326987,
        4.769365861990878,
        4.76938684365477,
        4.769408302174659,
        4.769429283838551,
        4.769450265502442,
        4.769471247166334,
        4.7694922288302255,
        4.769513210494116,
        4.769534669014006,
        4.769555650677898,
        4.7695766323417885,
        4.76959761400568,
        4.769618595669572,
        4.769639577333463,
        4.769660558997355,
        4.769681540661247,
        4.769702999181136,
        4.769723980845027,
        4.769744962508919,
        4.769765944172811,
        4.769786925836702,
        4.769807907500594,
        4.7698288891644856,
        4.769849870828377,
        4.769870852492268,
        4.76989183415616,
        4.769912815820051,
        4.76993427433994,
        4.769955256003832,
        4.7699762376677235,
        4.769997219331615,
        4.770018200995507,
        4.770039182659398,
        4.77006016432329,
        4.770081145987182,
        4.770102127651073,
        4.770123109314965,
        4.770144090978856,
        4.770165072642747,
        4.770186054306639,
        4.770207035970531,
        4.770228017634422,
        4.770248999298314,
        4.770269980962206,
        4.770290962626097,
        4.770311944289989,
        4.7703329259538805,
        4.770353907617772,
        4.770374889281664,
        4.7703958709455545,
        4.770416852609446,
        4.770437834273338,
        4.770458815937229,
        4.770479797601121,
        4.770500779265013,
        4.770521760928904,
        4.770542742592796,
        4.770563724256688,
        4.770584705920579,
        4.770605687584471,
        4.770626669248362,
        4.770647650912253,
        4.770668632576145,
        4.770689614240037,
        4.770710595903928,
        4.77073157756782,
        4.770752082375714,
        4.770773064039606,
        4.770794045703497,
        4.770815027367389,
        4.77083600903128,
        4.770856990695171,
        4.770877972359063,
        4.770898954022955,
        4.770919935686846,
        4.770940917350738,
        4.77096189901463,
        4.770982403822524,
        4.771003385486416,
        4.771024367150306,
        4.771045348814198,
        4.77106633047809,
        4.771087312141981,
        4.771108293805873,
        4.7711292754697645,
        4.771149780277659,
        4.77117076194155,
        4.771191743605442,
        4.771212725269333,
        4.7712337069332245,
        4.771254688597116,
        4.771275670261008,
        4.771296175068902,
        4.771317156732794,
        4.771338138396685,
        4.771359120060577,
        4.771380101724469,
        4.771401083388359,
        4.771421588196254,
        4.771442569860145,
        4.771463551524037,
        4.7714845331879285,
        4.77150551485182,
        4.7715260196597145,
        4.771547001323605,
        4.771567982987497,
        4.7715889646513885,
        4.77160994631528,
        4.771630451123174,
        4.771651432787066,
        4.771672414450958,
        4.771693396114849,
        4.771713900922743,
        4.771734882586634,
        4.771755864250526,
        4.771776845914418,
        4.771797350722312,
        4.771818332386204,
        4.771839314050095,
        4.771860295713987,
        4.77188080052188,
        4.771901782185772,
        4.7719227638496635,
        4.771943745513555,
        4.771964250321449,
        4.771985231985341,
        4.772006213649233,
        4.772026718457126,
        4.772047700121018,
        4.772068681784909,
        4.772089663448801,
        4.772110168256695,
        4.772131149920587,
        4.772152131584479,
        4.772172636392372,
        4.772193618056264,
        4.772214599720155,
        4.7722351045280496,
        4.772256086191941,
        4.772277067855833,
        4.772297572663726,
        4.772318554327618,
        4.7723395359915095,
        4.772360040799404,
        4.772381022463295,
        4.772402004127187,
        4.7724225089350805,
        4.772443490598972,
        4.772463995406866,
        4.772484977070758,
        4.77250595873465,
        4.772526463542544,
        4.772547445206435,
        4.772568426870326,
        4.772588931678221,
        4.772609913342112,
        4.7726304181500065,
        4.772651399813898,
        4.77267238147779,
        4.772692886285683,
        4.772713867949575,
        4.772734372757469,
        4.772755354421361,
        4.772776336085252,
        4.772796840893146,
        4.7728178225570375,
        4.772838327364932,
        4.772859309028823,
        4.772879813836718,
        4.772900795500609,
        4.7729217771645,
        4.772942281972394,
        4.772963263636286,
        4.77298376844418,
        4.773004750108072,
        4.773025254915965,
        4.773046236579857,
        4.773066741387751,
        4.773087723051643,
        4.773108227859537,
        4.773129209523429,
        4.773149714331322,
        4.773170695995214,
        4.773191200803108,
        4.773212182467,
        4.773232687274894,
        4.773253668938785,
        4.773274173746679,
        4.773295155410571,
        4.773315660218465,
        4.773336641882357,
        4.77335714669025,
        4.773378128354142,
        4.773398633162036,
        4.773419614825928,
        4.773440119633822,
        4.7734611012977135,
        4.773481606105607,
        4.7735025877694985,
        4.773523092577393,
        4.7735440742412845,
        4.773564579049179,
        4.773585083857072,
        4.773606065520964,
        4.773626570328858,
        4.77364755199275,
        4.773668056800643,
        4.77385450749568,
        4.773875012303574,
        4.773895993967465,
        4.7739164987753595,
        4.773937003583254,
        4.773957985247145,
        4.773978490055039,
        4.773998994862933,
        4.774019976526825,
        4.774040481334719,
        4.774061462998611,
        4.774081967806504,
        4.774102472614398,
        4.77412345427829,
        4.774143959086184,
        4.774164463894078,
        4.774185445557969,
        4.774205950365864,
        4.774226455173758,
        4.7742474368376495,
        4.774267941645543,
        4.774288446453437,
        4.774309428117329,
        4.774329932925223,
        4.7743504377331165,
        4.774370942541011,
        4.774391924204902,
        4.774412429012797,
        4.77443293382069,
        4.774453915484582,
        4.774474420292476,
        4.77449492510037,
        4.774515906764262,
        4.774536411572155,
        4.77455691638005,
        4.774577421187944,
        4.774598402851836,
        4.774618907659729,
        4.774639412467623,
        4.7746599172755175,
        4.774680898939409,
        4.774701403747303,
        4.774721908555197,
        4.774742413363091,
        4.774763395026983,
        4.774783899834877,
        4.7748044046427705,
        4.774824909450665,
        4.774845414258559,
        4.774866395922451,
        4.774886900730344,
        4.774907405538238,
        4.774927910346133,
        4.774948892010024,
        4.774969396817918,
        4.774989901625812,
        4.775010406433706,
        4.7750309112416,
        4.775051892905491,
        4.7750723977133855,
        4.77509290252128,
        4.775113407329173,
        4.7751339121370675,
        4.775154416944962,
        4.775175398608853,
        4.775195903416748,
        4.775216408224641,
        4.775236913032535,
        4.77525741784043,
        4.775277922648323,
        4.775298427456217,
        4.775319409120109,
        4.775339913928003,
        4.775360418735897,
        4.775380923543791,
        4.775401428351685,
        4.7754219331595795,
        4.775442437967473,
        4.775463419631365,
        4.775483924439259,
        4.775504429247153,
        4.7755249340550465,
        4.775545438862941,
        4.775565943670835,
        4.7755864484787285,
        4.775606953286623,
        4.775627458094517,
        4.775647962902411,
        4.775668467710305,
        4.775689449374196,
        4.775709954182091,
        4.775730458989985,
        4.775750963797878,
        4.775771468605773,
        4.775791973413667,
        4.77581247822156,
        4.775832983029455,
        4.775853487837349,
        4.775873992645243,
        4.7758944974531365,
        4.775915002261031,
        4.775935507068925,
        4.7759560118768185,
        4.775976516684713,
        4.775997021492607,
        4.776017526300501,
        4.776038031108395,
        4.776058535916289,
        4.776079040724183,
        4.776099545532077,
        4.776120050339971,
        4.776140555147865,
        4.77616105995576,
        4.776181564763653,
        4.776202069571547,
        4.7762225743794415,
        4.776243079187335,
        4.776263583995229,
        4.7762840888031235,
        4.776304593611018,
        4.776325098418911,
        4.7763456032268055,
        4.7763661080347,
        4.776386612842593,
        4.776407117650487,
        4.776427622458382,
        4.776448127266275,
        4.776468632074169,
        4.776489136882064,
        4.776509641689958,
        4.776530146497851,
        4.776550651305746,
        4.77657115611364,
        4.776591184065536,
        4.77661168887343,
        4.7766321936813245,
        4.776652698489218,
        4.776673203297112,
        4.7766937081050065,
        4.776714212912901,
        4.776734717720794,
        4.7767552225286884,
        4.776775727336583,
        4.776795755288479,
        4.776816260096373,
        4.776836764904267,
        4.7772249256862604,
        4.777245430494155,
        4.777265935302049,
        4.777286440109943,
        4.777306944917837,
        4.777326972869734,
        4.777347477677628,
        4.777367982485521,
        4.777388487293416,
        4.777408515245312,
        4.777429020053206,
        4.7774495248611,
        4.7774700296689945,
        4.777490534476888,
        4.777510562428785,
        4.777531067236679,
        4.7775515720445725,
        4.777572076852467,
        4.777592104804363,
        4.777612609612257,
        4.777633114420151,
        4.777653619228046,
        4.777673647179942,
        4.777694151987836,
        4.77771465679573,
        4.777734684747626,
        4.777755189555521,
        4.777775694363414,
        4.777796199171308,
        4.777816227123205,
        4.777836731931099,
        4.777857236738993,
        4.77787726469089,
        4.777897769498783,
        4.7779182743066775,
        4.777938779114572,
        4.777958807066468,
        4.777979311874362,
        4.777999816682256,
        4.778019844634152,
        4.778040349442047,
        4.778060854249941,
        4.778080882201837,
        4.778101387009731,
        4.778121891817626,
        4.778141919769522,
        4.778162424577416,
        4.778182929385309,
        4.778202957337206,
        4.7782234621451005,
        4.778243490096997,
        4.778263994904891,
        4.778284499712785,
        4.778304527664681,
        4.7783250324725755,
        4.77834553728047,
        4.778365565232366,
        4.77838607004026,
        4.778406097992156,
        4.77842660280005,
        4.778447107607945,
        4.778467135559841,
        4.778487640367735,
        4.778507668319631,
        4.778528173127525,
        4.77854867793542,
        4.778568705887316,
        4.77858921069521,
        4.778609238647107,
        4.778629743455,
        4.778649771406897,
        4.778670276214791,
        4.778690781022685,
        4.778710808974582,
        4.778731313782475,
        4.778751341734372,
        4.778771846542266,
        4.778791874494162,
        4.778812379302057,
        4.778832407253953,
        4.778852912061847,
        4.778872940013744,
        4.778893444821637,
        4.778913949629532,
        4.778933977581428,
        4.778954482389322,
        4.778974510341219,
        4.778995015149112,
        4.779015043101009,
        4.7790355479089035,
        4.7790555758607995,
        4.779076080668694,
        4.77909610862059,
        4.779116613428484,
        4.779136641380381,
        4.7791571461882745,
        4.779177174140171,
        4.779197202092067,
        4.779217706899962,
        4.779237734851859,
        4.779258239659752,
        4.779278267611649,
        4.779298772419542,
        4.779318800371439,
        4.779339305179334,
        4.77935933313123,
        4.779379837939124,
        4.77939986589102,
        4.779419893842917,
        4.779440398650811,
        4.779460426602707,
        4.7794809314106015,
        4.7795009593624975,
        4.779521464170392,
        4.779541492122289,
        4.779561520074185,
        4.779582024882079,
        4.779602052833975,
        4.779622557641869,
        4.779642585593766,
        4.779662613545662,
        4.779683118353557,
        4.779703146305453,
        4.779723651113347,
        4.779743679065243,
        4.77976370701714,
        4.779784211825034,
        4.77980423977693,
        4.779824267728827,
        4.779844772536721,
        4.7798648004886175,
        4.7798848284405135,
        4.779905333248408,
        4.779925361200305,
        4.779945866008198,
        4.779965893960095,
        4.779985921911991,
        4.780006426719885,
        4.780026454671782,
        4.780046482623678,
        4.780066987431573,
        4.780087015383469,
        4.780107043335366,
        4.780127071287262,
        4.780147576095156,
        4.780167604047053,
        4.780187631998949,
        4.780208136806843,
        4.780228164758739,
        4.780248192710636,
        4.78026869751853,
        4.7802887254704265,
        4.7803087534223225,
        4.7803287813742195,
        4.780349286182114,
        4.78036931413401,
        4.780389342085907,
        4.7804098468938,
        4.780429874845697,
        4.780449902797593,
        4.78046993074949,
        4.780490435557384,
        4.78051046350928,
        4.780530491461177,
        4.780550519413073,
        4.780571024220968,
        4.780591052172864,
        4.7806110801247605,
        4.780631108076657,
        4.7806511360285535,
        4.780671640836448,
        4.780691668788344,
        4.780711696740241,
        4.780731724692137,
        4.780751752644034,
        4.780772257451927,
        4.780792285403824,
        4.78081231335572,
        4.780832341307617,
        4.780852369259513,
        4.780872874067407,
        4.780892902019304,
        4.7809129299712,
        4.780932957923097,
        4.780952985874993,
        4.780973490682888,
        4.780993518634784,
        4.7810135465866805,
        4.781033574538577,
        4.7810536024904735,
        4.7810736304423695,
        4.7810936583942665,
        4.781114163202161,
        4.781134191154057,
        4.781154219105954,
        4.78117424705785,
        4.781194275009747,
        4.781214302961643,
        4.78123433091354,
        4.781254835721433,
        4.78127486367333,
        4.781294891625226,
        4.781314919577123,
        4.781334947529019,
        4.781354975480916,
        4.781375003432812,
        4.781395031384709,
        4.781415059336605,
        4.781435087288502,
        4.781455592096396,
        4.781475620048292,
        4.781495648000189,
        4.781515675952085,
        4.781535703903982,
        4.781555731855878,
        4.781575759807775,
        4.781595787759671,
        4.781615815711568,
        4.781635843663464,
        4.781655871615361,
        4.781675899567257,
        4.781695927519154,
        4.78171595547105,
        4.781735983422947,
        4.781756011374843,
        4.78177603932674,
        4.781796067278636,
        4.781816095230533,
        4.781836600038427,
        4.781856627990323,
        4.78187665594222,
        4.781896683894116,
        4.781916711846013,
        4.781936739797909,
        4.781956767749806,
        4.781976795701702,
        4.781996823653599,
        4.782016851605495,
        4.782036879557392,
        4.782056907509288,
        4.782076458605187,
        4.782096486557084,
        4.78211651450898,
        4.782136542460877,
        4.782156570412773,
        4.78217659836467,
        4.782196626316566,
        4.7822166542684625,
        4.782236682220359,
        4.7822567101722555,
        4.782276738124152,
        4.7822967660760485,
        4.782316794027945,
        4.7823368219798414,
        4.782356849931738,
        4.782376877883634,
        4.782396905835531,
        4.782416933787427,
        4.782436961739324,
        4.782456512835223,
        4.782476540787119,
        4.782496568739016,
        4.782516596690912,
        4.782536624642809,
        4.782556652594705,
        4.782576680546602,
        4.782596708498498,
        4.782616736450395,
        4.782636764402291,
        4.7826563154981905,
        4.7826763434500865,
        4.7826963714019834,
        4.7827163993538795,
        4.782736427305776,
        4.7827564552576725,
        4.782776483209569,
        4.782796034305468,
        4.782816062257365,
        4.782836090209261,
        4.782856118161158,
        4.782876146113054,
        4.782896174064951,
        4.782916202016847,
        4.782935753112746,
        4.782955781064643,
        4.782975809016539,
        4.7829958369684356,
        4.783015864920332,
        4.783035416016231,
        4.783055443968127,
        4.783075471920024,
        4.78309549987192,
        4.783115527823817,
        4.783135555775713,
        4.783155106871613,
        4.783175134823509,
        4.783195162775406,
        4.783215190727302,
        4.7832347418232,
        4.783254769775097,
        4.783274797726993,
        4.78329482567889,
        4.783314853630787,
        4.783334404726686,
        4.783354432678582,
        4.783374460630479,
        4.783394488582375,
        4.7834140396782745,
        4.7834340676301705,
        4.783553281629555,
        4.783573309581451,
        4.783593337533348,
        4.783613365485244,
        4.783632916581143,
        4.783652944533039,
        4.783672972484936,
        4.783692523580835,
        4.783712551532731,
        4.783732579484628,
        4.783752607436524,
        4.7837721585324235,
        4.78379218648432,
        4.7838122144362165,
        4.783831765532115,
        4.783851793484012,
        4.783871821435908,
        4.783891372531807,
        4.783911400483704,
        4.7839314284356,
        4.783950979531499,
        4.783971007483395,
        4.783991035435292,
        4.784010586531191,
        4.784030614483088,
        4.784050642434984,
        4.784070193530883,
        4.78409022148278,
        4.784109772578678,
        4.784129800530575,
        4.784149828482471,
        4.784169379578371,
        4.784189407530267,
        4.784209435482164,
        4.7842289865780625,
        4.7842490145299585,
        4.784268565625858,
        4.784288593577754,
        4.784308621529651,
        4.78432817262555,
        4.784348200577446,
        4.78500149329407,
        4.785021521245967,
        4.7850410723418655,
        4.7850611002937615,
        4.785080651389661,
        4.785100679341557,
        4.785120230437456,
        4.785140258389353,
        4.785159809485251,
        4.785179837437148,
        4.785199388533047,
        4.785218939628946,
        4.785238967580843,
        4.785258518676741,
        4.785278546628638,
        4.785298097724537,
        4.785318125676434,
        4.785337676772333,
        4.785357227868231,
        4.785377255820128,
        4.785396806916027,
        4.785515544059413,
        4.785535095155312,
        4.785554646251211,
        4.785574674203107,
        4.785594225299007,
        4.785614253250903,
        4.785633804346802,
        4.785653355442701,
        4.785673383394597,
        4.785692934490497,
        4.785712485586395,
        4.785732513538292,
        4.785752064634191,
        4.78577161573009,
        4.7857916436819865,
        4.785811194777885,
        4.785830745873784,
        4.785850773825681,
        4.7858703249215795,
        4.785889876017478,
        4.785909903969375,
        4.785929455065274,
        4.785949006161173,
        4.785969034113069,
        4.785988585208968,
        4.786008136304868,
        4.786028164256764,
        4.786047715352662,
        4.786067266448562,
        4.786087294400458,
        4.786106845496358,
        4.786126396592256,
        4.786145947688155,
        4.786165975640052,
        4.7861855267359505,
        4.786205077831849,
        4.786224628927749,
        4.786244656879645,
        4.7862642079755435,
        4.786283759071443,
        4.786303787023339,
        4.786323338119239,
        4.786342889215137,
        4.786362440311036,
        4.786382468262933,
        4.786402019358832,
        4.78642157045473,
        4.78644112155063,
        4.786460672646529,
        4.786480700598425,
        4.786500251694324,
        4.786519802790223,
        4.786539353886122,
        4.7865593818380185,
        4.786578932933917,
        4.786598484029816,
        4.7866180351257155,
        4.786637586221614,
        4.786657614173511,
        4.78667716526941,
        4.7866967163653085,
        4.786716267461207,
        4.786735818557107,
        4.786755846509003,
        4.786775397604902,
        4.786794948700801,
        4.7868144997967,
        4.786834050892598,
        4.786853601988498,
        4.786873629940394,
        4.786893181036294,
        4.786912732132192,
        4.786932283228091,
        4.7869518343239905,
        4.786971385419889,
        4.786990936515788,
        4.787010964467685,
        4.7870305155635835,
        4.787050066659482,
        4.787069617755382,
        4.78708916885128,
        4.787108719947179,
        4.787128271043078,
        4.787147822138977,
        4.787167850090873,
        4.787187401186773,
        4.787206952282672,
        4.78722650337857,
        4.787246054474469,
        4.787265605570369,
        4.787285156666267,
        4.787304707762166,
        4.787324258858066,
        4.787343809953964,
        4.787363361049863,
        4.78738338900176,
        4.7874029400976585,
        4.787422491193557,
        4.787442042289457,
        4.7874615933853555,
        4.787481144481254,
        4.787500695577154,
        4.787520246673052,
        4.787539797768951,
        4.787559348864851,
        4.787578899960749,
        4.787598451056648,
        4.787618002152548,
        4.787637553248446,
        4.787657104344345,
        4.787676655440244,
        4.787696206536143,
        4.787715757632042,
        4.787735308727941,
        4.78775485982384,
        4.787774410919739,
        4.787793962015638,
        4.787813513111537,
        4.787833064207436,
        4.7878526153033345,
        4.787872166399233,
        4.787891717495133,
        4.787911268591031,
        4.78793081968693,
        4.78795037078283,
        4.787969921878728,
        4.787989472974627,
        4.788009024070527,
        4.788028575166425,
        4.788048126262324,
        4.788067677358224,
        4.788087228454122,
        4.788106779550021,
        4.78812633064592,
        4.788145881741819,
        4.788165432837718,
        4.788184983933617,
        4.788204535029516,
        4.788224086125415,
        4.788243160365316,
        4.788262711461215,
        4.788282262557114,
        4.788301813653013,
        4.788321364748912,
        4.788340915844811,
        4.78836046694071,
        4.788380018036609,
        4.788399569132508,
        4.788419120228407,
        4.788438671324306,
        4.788457745564207,
        4.788477296660107,
        4.788496847756005,
        4.788516398851904,
        4.788535949947803,
        4.788555501043702,
        4.788575052139601,
        4.7885946032355,
        4.788613677475401,
        4.7886332285713005,
        4.788652779667199,
        4.788672330763098,
        4.788691881858997,
        4.788711432954896,
        4.788730984050795,
        4.788750058290696,
        4.788769609386596,
        4.788789160482494,
        4.788808711578393,
        4.788828262674293,
        4.788847813770191,
        4.788866888010093,
        4.788886439105991,
        4.788905990201891,
        4.78892554129779,
        4.788945092393688,
        4.78896416663359,
        4.788983717729489,
        4.789003268825388,
        4.7890228199212865,
        4.789042371017186,
        4.789061445257087,
        4.789080996352986,
        4.789100547448885,
        4.789120098544784,
        4.789139172784686,
        4.789158723880584,
        4.789178274976483,
        4.789197826072383,
        4.789217377168281,
        4.789236451408183,
        4.789256002504081,
        4.789275553599981,
        4.78929510469588,
        4.789314178935781,
        4.78933373003168,
        4.789353281127579,
        4.789372832223478,
        4.789391906463379,
        4.789411457559278,
        4.7894310086551775,
        4.789450082895079,
        4.7894696339909775,
        4.789489185086876,
        4.789508736182776,
        4.789527810422677,
        4.789547361518576,
        4.789566912614474,
        4.789585986854377,
        4.789605537950275,
        4.789625089046174,
        4.789644163286075,
        4.789663714381975,
        4.789683265477874,
        4.789702816573772,
        4.789721890813674,
        4.789741441909573,
        4.789760993005472,
        4.789780067245373,
        4.789799618341272,
        4.7898191694371715,
        4.789838243677073,
        4.7898577947729715,
        4.789876869012873,
        4.7898964201087715,
        4.789915971204671,
        4.789935045444572,
        4.789954596540471,
        4.78997414763637,
        4.789993221876272,
        4.790012772972171,
        4.790032324068069,
        4.790051398307971,
        4.79007094940387,
        4.790090023643772,
        4.79010957473967,
        4.790129125835569,
        4.79014820007547,
        4.79016775117137,
        4.790186825411271,
        4.79020637650717,
        4.7902259276030685,
        4.79024500184297,
        4.790264552938869,
        4.790283627178771,
        4.7903031782746694,
        4.790322729370568,
        4.79034180361047,
        4.790361354706369,
        4.79038042894627,
        4.790399980042169,
        4.79041905428207,
        4.79043860537797,
        4.790457679617871,
        4.79047723071377,
        4.790496781809669,
        4.790515856049571,
        4.7905354071454695,
        4.790554481385371,
        4.79057403248127,
        4.790593106721171,
        4.7906126578170705,
        4.790631732056972,
        4.7906512831528705,
        4.790670357392772,
        4.7906899084886705,
        4.790998911175074,
        4.7910179854149755,
        4.791037059654877,
        4.7910566107507755,
        4.791075684990677,
        4.791095236086576,
        4.791114310326478,
        4.791133861422376,
        4.791152935662278,
        4.791172486758176,
        4.791191560998079,
        4.79121063523798,
        4.791230186333879,
        4.79124926057378,
        4.791268811669679,
        4.79128788590958,
        4.791306960149482,
        4.791326511245381,
        4.791345585485282,
        4.791365136581181,
        4.791384210821082,
        4.7914032850609845,
        4.791422836156883,
        4.7914419103967845,
        4.791461461492683,
        4.7914805357325845,
        4.791499609972486,
        4.791519161068385,
        4.791538235308287,
        4.791557309548188,
        4.791576860644087,
        4.791595934883988,
        4.791615485979888,
        4.791634560219789,
        4.791673185555589,
        4.79169225979549,
        4.791711334035392,
        4.791730885131291,
        4.7917499593711925,
        4.791769033611094,
        4.7917885847069925,
        4.791807658946894,
        4.791826733186795,
        4.791846284282695,
        4.791865358522596,
        4.791884432762497,
        4.791903507002399,
        4.791923058098297,
        4.791942132338199,
        4.791961206578101,
        4.791980757674,
        4.791999831913901,
        4.792018906153802,
        4.792038457249701,
        4.792057531489602,
        4.792076605729505,
        4.792095679969406,
        4.792115231065305,
        4.792134305305206,
        4.792153379545107,
        4.792172453785009,
        4.792192004880908,
        4.7922110791208095,
        4.792230153360711,
        4.792249227600612,
        4.792268778696511,
        4.792287852936412,
        4.7923069271763135,
        4.792326001416215,
        4.792345552512114,
        4.792364626752016,
        4.792383700991917,
        4.792402775231818,
        4.792422326327717,
        4.792441400567619,
        4.792460474807521,
        4.792479549047422,
        4.792498623287323,
        4.792518174383222,
        4.792537248623123,
        4.792556322863025,
        4.792575397102926,
        4.792594471342828,
        4.792614022438727,
        4.792633096678628,
        4.7926521709185295,
        4.792671245158431,
        4.792690319398332,
        4.7927093936382335,
        4.792728944734133,
        4.792748018974034,
        4.792767093213936,
        4.792786167453837,
        4.792805241693738,
        4.79282431593364,
        4.792843867029538,
        4.792862941269441,
        4.792882015509342,
        4.792901089749243,
        4.7929201639891446,
        4.792939238229046,
        4.792958312468947,
        4.7929773867088485,
        4.792996937804748,
        4.793016012044649,
        4.793035086284551,
        4.793054160524452,
        4.793073234764353,
        4.793092309004255,
        4.793111383244156,
        4.793130457484057,
        4.793149531723959,
        4.793169082819858,
        4.79318815705976,
        4.793207231299661,
        4.793226305539562,
        4.793245379779464,
        4.793264454019365,
        4.793340750978971,
        4.7933598252188725,
        4.793378899458774,
        4.793397973698675,
        4.7934170479385765,
        4.793436122178478,
        4.7934556732743765,
        4.793474747514278,
        4.79349382175418,
        4.793512895994081,
        4.793531970233983,
        4.793551044473884,
        4.793570118713785,
        4.793589192953687,
        4.793608267193588,
        4.793627341433489,
        4.793646415673391,
        4.793665489913293,
        4.793684564153194,
        4.7937036383930955,
        4.793722712632997,
        4.793741786872898,
        4.7937608611127995,
        4.793779935352701,
        4.793799009592602,
        4.7938180838325035,
        4.793837158072405,
        4.793856232312307,
        4.793875306552208,
        4.79389438079211,
        4.793913455032011,
        4.793932529271912,
        4.793951603511814,
        4.793970677751715,
        4.793989275135619,
        4.79400834937552,
        4.794027423615422,
        4.794046497855323,
        4.794065572095224,
        4.7940846463351265,
        4.794103720575028,
        4.794122794814929,
        4.7941418690548305,
        4.794160943294732,
        4.794180017534633,
        4.7941990917745345,
        4.794218166014436,
        4.794237240254337,
        4.794255837638241,
        4.7942749118781425,
        4.794293986118044,
        4.794313060357946,
        4.794332134597847,
        4.794351208837749,
        4.79437028307765,
        4.794389357317551,
        4.794408431557453,
        4.794427505797354,
        4.794446103181258,
        4.794465177421159,
        4.794484251661061,
        4.794503325900962,
        4.794522400140864,
        4.7945414743807655,
        4.794560548620667,
        4.794579146004571,
        4.794598220244472,
        4.7946172944843735,
        4.794636368724275,
        4.794655442964176,
        4.7946745172040774,
        4.794693591443979,
        4.794712188827883,
        4.794731263067784,
        4.794750337307685,
        4.794769411547587,
        4.794788485787489,
        4.794807083171392,
        4.794826157411294,
        4.794845231651196,
        4.794864305891097,
        4.794883380130998,
        4.7949024543709,
        4.7949210517548035,
        4.794940125994705,
        4.794959200234606,
        4.7949782744745075,
        4.7949968718584115,
        4.795015946098313,
        4.795035020338214,
        4.7950540945781155,
        4.795073168818017,
        4.795091766201921,
        4.795110840441822,
        4.795129914681724,
        4.795148988921626,
        4.79516758630553,
        4.795186660545431,
        4.795205734785332,
        4.795224809025234,
        4.795319226512746,
        4.795338300752647,
        4.795357374992548,
        4.795375972376452,
        4.7953950466163535,
        4.795414120856255,
        4.795433195096156,
        4.79545179248006,
        4.7954708667199615,
        4.795489940959864,
        4.795508538343767,
        4.795527612583669,
        4.79554668682357,
        4.795565761063472,
        4.795584358447376,
        4.795603432687277,
        4.795622506927178,
        4.795641104311082,
        4.795660178550984,
        4.795679252790885,
        4.795697850174789,
        4.79571692441469,
        4.7957359986545915,
        4.7957545960384955,
        4.795773670278397,
        4.795792744518298,
        4.795811341902202,
        4.7958304161421035,
        4.7958490135260075,
        4.795868087765909,
        4.79588716200581,
        4.795905759389714,
        4.795924833629615,
        4.795943907869517,
        4.795962505253421,
        4.795981579493322,
        4.796000176877226,
        4.796019251117127,
        4.796038325357029,
        4.796056922740933,
        4.796075996980835,
        4.796095071220736,
        4.79611366860464,
        4.7961327428445415,
        4.7961513402284455,
        4.796170414468347,
        4.796189011852251,
        4.796208086092152,
        4.796227160332053,
        4.796245757715957,
        4.796264831955859,
        4.796283429339763,
        4.796302503579664,
        4.796321100963568,
        4.796340175203469,
        4.796359249443371,
        4.796377846827275,
        4.796396921067176,
        4.79641551845108,
        4.796434592690981,
        4.796453190074885,
        4.796472264314787,
        4.7964908616986905,
        4.796509935938592,
        4.796528533322496,
        4.796547607562397,
        4.7965666818022985,
        4.7965852791862025,
        4.796604353426104,
        4.796622950810008,
        4.796642025049909,
        4.796660622433813,
        4.796679696673714,
        4.796698294057618,
        4.79671736829752,
        4.796735965681424,
        4.796755039921325,
        4.796773637305229,
        4.79679271154513,
        4.796811308929034,
        4.796829906312938,
        4.79684898055284,
        4.796867577936744,
        4.796886652176645,
        4.796905249560549,
        4.79692432380045,
        4.796942921184354,
        4.7969619954242555,
        4.7969805928081595,
        4.796999667048061,
        4.797018264431965,
        4.797037338671866,
        4.79705593605577,
        4.797074533439674,
        4.797093607679575,
        4.797112205063479,
        4.797131279303381,
        4.797149876687285,
        4.797168950927186,
        4.79718754831109,
        4.797206145694994,
        4.797225219934895,
        4.797243817318799,
        4.797262891558701,
        4.7972814889426045,
        4.7973000863265085,
        4.79731916056641,
        4.797337757950314,
        4.797356832190215,
        4.797375429574119,
        4.797394026958022,
        4.797413101197924,
        4.7974316985818275,
        4.7974502959657315,
        4.797469370205633,
        4.797487967589537,
        4.797507041829438,
        4.797525639213342,
        4.797544236597246,
        4.797563310837147,
        4.797581908221051,
        4.797600505604955,
        4.797619579844857,
        4.797638177228761,
        4.797656774612665,
        4.797675848852566,
        4.79769444623647,
        4.797713043620374,
        4.797732117860275,
        4.797750715244179,
        4.797769312628083,
        4.7977883868679845,
        4.7978069842518885,
        4.797825581635792,
        4.797844655875694,
        4.797863253259598,
        4.797881850643502,
        4.797900448027406,
        4.797919522267307,
        4.797938119651211,
        4.797956717035114,
        4.797975791275016,
        4.797994388658919,
        4.798012986042823,
        4.798031583426727,
        4.798050657666629,
        4.798069255050533,
        4.798087852434437,
        4.798106926674338,
        4.798125524058242,
        4.798144121442146,
        4.79816271882605,
        4.798181793065951,
        4.798200390449855,
        4.798218987833759,
        4.798237585217663,
        4.798256182601567,
        4.798275256841468,
        4.798293854225372,
        4.798312451609276,
        4.798331048993179,
        4.798350123233082,
        4.798368720616985,
        4.798387318000889,
        4.798405915384793,
        4.798424512768697,
        4.798443587008598,
        4.798462184392502,
        4.798480781776406,
        4.79849937916031,
        4.798518453400211,
        4.798537050784115,
        4.798555648168019,
        4.798574245551923,
        4.798592842935827,
        4.798611440319731,
        4.798630514559632,
        4.798649111943536,
        4.7986677093274395,
        4.798686306711343,
        4.798704904095247,
        4.798723501479151,
        4.798742575719053,
        4.798761173102957,
        4.798779770486861,
        4.798798367870765,
        4.798816965254669,
        4.798835562638573,
        4.798947623797993,
        4.798966221181897,
        4.798984818565801,
        4.799003415949705,
        4.799022490189606,
        4.79904108757351,
        4.799059684957414,
        4.799078282341318,
        4.799096879725222,
        4.799115477109126,
        4.79913407449303,
        4.799152671876933,
        4.799171269260837,
        4.799189866644741,
        4.799208464028645,
        4.799227538268546,
        4.79924613565245,
        4.799264733036354,
        4.799283330420258,
        4.799301927804162,
        4.799320525188066,
        4.79933912257197,
        4.799357719955874,
        4.799376317339777,
        4.799394914723681,
        4.799413512107585,
        4.799432109491489,
        4.799450706875393,
        4.799469304259297,
        4.799487901643201,
        4.799506499027105,
        4.799525096411009,
        4.799543693794913,
        4.799562291178816,
        4.79958088856272,
        4.799599485946624,
        4.799618083330528,
        4.799636680714432,
        4.799655278098336,
        4.79967387548224,
        4.799692472866144,
        4.799711070250048,
        4.799729667633952,
        4.799748265017856,
        4.799766862401759,
        4.799785459785663,
        4.799804057169567,
        4.799822654553471,
        4.799841251937375,
        4.799859849321279,
        4.799878446705183,
        4.799897044089087,
        4.799915641472991,
        4.799934238856895,
        4.799952836240798,
        4.799971433624702,
        4.799990031008606,
        4.80000862839251,
        4.800027225776414,
        4.800045823160318,
        4.8000644205442216,
        4.8000830179281255,
        4.8001016153120295,
        4.8001202126959335,
        4.800138333223839,
        4.800156930607743,
        4.800175527991647,
        4.800194125375551,
        4.800212722759455,
        4.800231320143359,
        4.800249917527263,
        4.800268514911167,
        4.80028711229507,
        4.800305709678974,
        4.800324307062878,
        4.800342427590785,
        4.800361024974689,
        4.800379622358593,
        4.800398219742497,
        4.800416817126401,
        4.800435414510304,
        4.800454011894208,
        4.800472609278112,
        4.800490729806018,
        4.800509327189922,
        4.800527924573826,
        4.80054652195773,
        4.800565119341634,
        4.800583716725537,
        4.800602314109441,
        4.800620434637348,
        4.800639032021252,
        4.800657629405156,
        4.80067622678906,
        4.800694824172964,
        4.800713421556868,
        4.800731542084773,
        4.800750139468677,
        4.800768736852581,
        4.800787334236485,
        4.800805931620389,
        4.800824052148296,
        4.800842649532199,
        4.800861246916103,
        4.800879844300007,
        4.800898441683911,
        4.8009165622118175,
        4.8009351595957215,
        4.8009537569796255,
        4.800972354363529,
        4.8009909517474325,
        4.801009072275339,
        4.801027669659243,
        4.801046267043147,
        4.801064864427051,
        4.801083461810955,
        4.801101582338861,
        4.801120179722765,
        4.801138777106669,
        4.801157374490573,
        4.801175495018479,
        4.801194092402383,
        4.801212689786287,
        4.80123128717019,
        4.801249407698097,
        4.801268005082001,
        4.801286602465905,
        4.8013047229938115,
        4.8013233203777155,
        4.801341917761619,
        4.8013605151455225,
        4.801378635673429,
        4.801397233057333,
        4.801415830441237,
        4.801433950969144,
        4.801452548353047,
        4.801471145736951,
        4.801489743120855,
        4.801507863648761,
        4.801526461032665,
        4.801545058416569,
        4.801563178944475,
        4.801581776328379,
        4.801600373712283,
        4.80161849424019,
        4.801637091624094,
        4.8016556890079976,
        4.801673809535903,
        4.801692406919807,
        4.801711004303711,
        4.801729124831618,
        4.801747722215522,
        4.801766319599426,
        4.8017844401273315,
        4.8018030375112355,
        4.8018216348951395,
        4.801839755423046,
        4.80185835280695,
        4.801876950190854,
        4.80189507071876,
        4.801913668102664,
        4.80193178863057,
        4.801950386014474,
        4.801968983398378,
        4.801987103926285,
        4.802005701310188,
        4.802024298694092,
        4.802042419221999,
        4.802061016605903,
        4.802079137133809,
        4.802097734517713,
        4.802116331901616,
        4.802134452429523,
        4.802153049813427,
        4.8021711703413335,
        4.802189767725237,
        4.802207888253143,
        4.802226485637047,
        4.802245083020951,
        4.802263203548858,
        4.802281800932762,
        4.802299921460667,
        4.802318518844571,
        4.802336639372478,
        4.802355236756382,
        4.802373834140286,
        4.802391954668193,
        4.802410552052096,
        4.802428672580002,
        4.802447269963906,
        4.802557423699337,
        4.802575544227244,
        4.802594141611147,
        4.8026122621390535,
        4.802630859522957,
        4.802648980050864,
        4.802667577434768,
        4.802685697962674,
        4.802704295346578,
        4.802722415874484,
        4.802741013258388,
        4.802759133786295,
        4.802777731170198,
        4.802795851698105,
        4.802814449082009,
        4.802832569609915,
        4.802851166993819,
        4.802869287521725,
        4.802887884905629,
        4.8029060054335355,
        4.8029246028174395,
        4.802942723345346,
        4.802961320729249,
        4.802979441257156,
        4.80299803864106,
        4.803016159168966,
        4.803034279696872,
        4.803052877080776,
        4.803070997608683,
        4.803089594992587,
        4.803107715520493,
        4.803126312904397,
        4.803144433432303,
        4.80316255396021,
        4.803181151344114,
        4.80319927187202,
        4.803217869255923,
        4.80323598978383,
        4.80330942560745,
        4.803327546135357,
        4.8033456666632635,
        4.803364264047167,
        4.803382384575073,
        4.803400981958977,
        4.803419102486884,
        4.80343722301479,
        4.8034558203986935,
        4.8034739409266,
        4.803620335717843,
        4.80363845624575,
        4.803657053629654,
        4.8036751741575605,
        4.803693294685466,
        4.80371189206937,
        4.803730012597277,
        4.8037481331251835,
        4.803766730509087,
        4.803784851036993,
        4.8038029715649,
        4.803821568948804,
        4.80383968947671,
        4.803857810004616,
        4.803875930532523,
        4.803894527916427,
        4.803912648444333,
        4.803930768972239,
        4.803949366356143,
        4.80396748688405,
        4.803985607411956,
        4.804004204795859,
        4.804022325323766,
        4.804040445851673,
        4.804058566379579,
        4.804077163763482,
        4.804095284291389,
        4.8041134048192955,
        4.804131525347202,
        4.804150122731105,
        4.804168243259012,
        4.804186363786918,
        4.804204484314825,
        4.804223081698728,
        4.804241202226635,
        4.804259322754541,
        4.804277443282448,
        4.804296040666351,
        4.804314161194258,
        4.804332281722164,
        4.804350402250071,
        4.804368999633974,
        4.804387120161881,
        4.804405240689787,
        4.804423361217694,
        4.8044414817456,
        4.804460079129504,
        4.80447819965741,
        4.804496320185316,
        4.8045144407132225,
        4.804532561241129,
        4.804551158625033,
        4.804569279152939,
        4.8045873996808455,
        4.804605520208752,
        4.804623640736659,
        4.804641761264564,
        4.804660358648468,
        4.804678479176375,
        4.804696599704282,
        4.804714720232187,
        4.804732840760094,
        4.804750961288001,
        4.804769558671905,
        4.80478767919981,
        4.804805799727717,
        4.8048239202556235,
        4.804842040783529,
        4.804860161311436,
        4.80487875869534,
        4.8048968792232465,
        4.804914999751152,
        4.804933120279059,
        4.8049512408069655,
        4.804969361334871,
        4.804987481862778,
        4.805005602390684,
        4.805024199774588,
        4.805042320302494,
        4.805060440830401,
        4.805078561358307,
        4.805096681886214,
        4.80511480241412,
        4.805132922942026,
        4.805151043469933,
        4.805169163997839,
        4.805187284525745,
        4.805205405053652,
        4.805224002437556,
        4.805242122965462,
        4.805260243493368,
        4.805278364021275,
        4.805296484549181,
        4.805314605077087,
        4.805332725604994,
        4.8053508461329,
        4.805368966660806,
        4.805387087188713,
        4.805405207716619,
        4.805423328244525,
        4.805441448772432,
        4.805459569300338,
        4.805477689828244,
        4.805495810356151,
        4.805513930884057,
        4.805532051411963,
        4.805550648795867,
        4.805568769323774,
        4.80558688985168,
        4.805605010379586,
        4.805623130907493,
        4.805641251435399,
        4.805659371963306,
        4.805677492491212,
        4.805695613019118,
        4.805713733547025,
        4.8057318540749305,
        4.805749974602837,
        4.805768095130744,
        4.8057862156586495,
        4.805804336186556,
        4.805822456714463,
        4.805840577242369,
        4.805858697770275,
        4.805876341442184,
        4.80589446197009,
        4.805912582497997,
        4.805930703025903,
        4.80594882355381,
        4.805966944081716,
        4.805985064609622,
        4.806003185137529,
        4.806021305665435,
        4.806039426193341,
        4.806184390416592,
        4.806202034088501,
        4.806220154616407,
        4.806238275144313,
        4.80625639567222,
        4.806274516200126,
        4.806292636728033,
        4.806310757255939,
        4.806328877783845,
        4.806346998311752,
        4.806365118839658,
        4.806383239367564,
        4.8064008830394735,
        4.806419003567379,
        4.806437124095286,
        4.8064552446231925,
        4.806473365151098,
        4.806491485679005,
        4.8065096062069115,
        4.806527726734817,
        4.8065453704067265,
        4.806563490934633,
        4.806581611462539,
        4.806599731990445,
        4.806617852518352,
        4.806635973046258,
        4.806654093574164,
        4.806671737246074,
        4.806689857773979,
        4.806707978301886,
        4.806726098829793,
        4.806744219357698,
        4.806762339885605,
        4.808992595386078,
        4.811439343509433,
        4.811460802029322,
        4.811482260549211,
        4.8115037190691,
        4.811525177588989,
        4.811546636108879,
        4.811568094628768,
        4.811589553148657,
        4.811611011668546,
        4.81176122130777,
        4.811782679827659,
        4.811803661491551,
        4.81182512001144,
        4.811846578531329,
        4.811868037051218,
        4.811889495571107,
        4.811910954090996,
        4.811932412610885,
        4.8119538711307746,
        4.812167979473667,
        4.812189437993557,
        4.812210419657448,
        4.813441661843084,
        4.815357669241182,
        4.815378650905074,
        4.815399632568965,
        4.815421091088854,
        4.815442072752746,
        4.815463054416638,
        4.815484512936527,
        4.815505494600418,
        4.81552647626431,
        4.815547457928202,
        4.815568916448091,
        4.815589898111982,
        4.815610879775874,
        4.815632338295763,
        4.8156533199596545,
        4.815674301623546,
        4.815695283287438,
        4.815716741807327,
        4.815737723471218,
        4.81575870513511,
        4.815779686799002,
        4.815801145318891,
        4.815822126982782,
        4.815843108646674,
        4.815864090310566,
        4.815885548830455,
        4.815906530494346,
        4.815927512158238,
        4.815948493822129,
        4.8159699523420185,
        4.815990934005909,
        4.816011915669801,
        4.8160328973336926,
        4.816053878997584,
        4.816075337517473,
        4.816096319181365,
        4.8161173008452565,
        4.816138282509148,
        4.81615926417304,
        4.816180245836931,
        4.81620170435682,
        4.816222686020712,
        4.816243667684604,
        4.816264649348495,
        4.816285631012387,
        4.816306612676279,
        4.816328071196168,
        4.816349052860059,
        4.816370034523951,
        4.816391016187842,
        4.816411997851733,
        4.816432979515625,
        4.8164539611795165,
        4.8164754196994055,
        4.816496401363297,
        4.816517383027189,
        4.81653836469108,
        4.816559346354972,
        4.816580328018864,
        4.816601309682755,
        4.816622291346647,
        4.816643749866536,
        4.816664731530428,
        4.816685713194319,
        4.816706694858211,
        4.816727676522102,
        4.816748658185993,
        4.816769639849885,
        4.816790621513777,
        4.816811603177668,
        4.81683258484156,
        4.8168535665054515,
        4.816874548169343,
        4.816895529833235,
        4.816916988353124,
        4.816937970017015,
        4.816958951680907,
        4.816979933344799,
        4.81700091500869,
        4.817021896672581,
        4.817042878336473,
        4.817063860000364,
        4.817084841664256,
        4.817105823328148,
        4.817126804992039,
        4.817147786655931,
        4.8171687683198225,
        4.817189749983714,
        4.817210731647606,
        4.8172317133114975,
        4.817252694975388,
        4.81727367663928,
        4.8172946583031715,
        4.817315639967063,
        4.817336621630955,
        4.817357603294846,
        4.817378584958738,
        4.81739956662263,
        4.817420548286521,
        4.817441529950413,
        4.817462511614305,
        4.817483493278196,
        4.817504474942087,
        4.817525456605979,
        4.817545961413873,
        4.817566943077765,
        4.817587924741656,
        4.817608906405548,
        4.8176298880694395,
        4.817650869733331,
        4.817671851397223,
        4.8176928330611135,
        4.817713814725005,
        4.817734796388897,
        4.817755778052788,
        4.81777675971668,
        4.817797741380572,
        4.817818246188466,
        4.817839227852358,
        4.817860209516249,
        4.81788119118014,
        4.817902172844032,
        4.817923154507923,
        4.817944136171815,
        4.817965117835707,
        4.817985622643601,
        4.8180066043074925,
        4.818027585971384,
        4.818048567635276,
        4.8180695492991665,
        4.818090530963058,
        4.81811151262695,
        4.818132017434844,
        4.818152999098736,
        4.818173980762627,
        4.818194962426519,
        4.818215944090411,
        4.818236925754302,
        4.818257430562196,
        4.818278412226087,
        4.818299393889979,
        4.818320375553871,
        4.818341357217762,
        4.818362338881654,
        4.818382843689548,
        4.818403825353439,
        4.818424807017331,
        4.818445788681222,
        4.818466770345114,
        4.818487275153008,
        4.8185082568169,
        4.818529238480791,
        4.818550220144683,
        4.818570724952576,
        4.818591706616468,
        4.81861268828036,
        4.818633669944251,
        4.818654174752146,
        4.818675156416037,
        4.818696138079929,
        4.8187171197438206,
        4.818737624551714,
        4.818758606215606,
        4.818779587879497,
        4.818800569543389,
        4.818821074351283,
        4.818842056015175,
        4.818863037679066,
        4.818884019342957,
        4.8189045241508515,
        4.818925505814743,
        4.818946487478635,
        4.818966992286529,
        4.818987973950421,
        4.819008955614312,
        4.819029460422206,
        4.819050442086097,
        4.819071423749989,
        4.819091928557883,
        4.819112910221775,
        4.8191338918856665,
        4.819154873549558,
        4.819175378357452,
        4.819196360021343,
        4.8192168648292375,
        4.819237846493129,
        4.819258828157021,
        4.819279332964914,
        4.819300314628806,
        4.8193212962926975,
        4.819341801100592,
        4.819362782764483,
        4.819383764428375,
        4.819404269236268,
        4.81942525090016,
        4.819446232564052,
        4.819466737371946,
        4.819487719035838,
        4.819508223843732,
        4.8195292055076235,
        4.819550187171514,
        4.819570691979409,
        4.8195916736433,
        4.8196121784511945,
        4.819633160115086,
        4.819654141778978,
        4.819674646586871,
        4.819695628250763,
        4.819716133058657,
        4.819737114722549,
        4.819757619530443,
        4.819778601194334,
        4.819799582858225,
        4.81982008766612,
        4.819841069330011,
        4.819861574137906,
        4.819882555801797,
        4.819903060609691,
        4.819924042273582,
        4.819944547081477,
        4.819965528745368,
        4.8199860335532625,
        4.820007015217154,
        4.8200275200250475,
        4.820048501688939,
        4.8200690064968335,
        4.820089988160725,
        4.8201104929686185,
        4.82013147463251,
        4.820151979440404,
        4.820172961104296,
        4.82019346591219,
        4.820214447576082,
        4.820234952383975,
        4.820255934047867,
        4.820276438855761,
        4.820297420519653,
        4.820317925327547,
        4.820338906991439,
        4.820359411799332,
        4.820380393463224,
        4.820400898271118,
        4.82042187993501,
        4.820442384742903,
        4.820463366406795,
        4.820483871214689,
        4.820504376022583,
        4.820525357686475,
        4.8205458624943684,
        4.82056684415826,
        4.820587348966154,
        4.820608330630046,
        4.82062883543794,
        4.820649340245834,
        4.820670321909725,
        4.82069082671762,
        4.820711808381511,
        4.8207323131894055,
        4.820752817997299,
        4.820773799661191,
        4.820794304469085,
        4.8208152861329765,
        4.820835790940871,
        4.820856295748764,
        4.820877277412656,
        4.82089778222055,
        4.820918287028444,
        4.820939268692336,
        4.820959773500229,
        4.820980755164121,
        4.821001259972015,
        4.82102176477991,
        4.821042746443801,
        4.821063251251695,
        4.821434722073775,
        4.821455703737667,
        4.821476208545561,
        4.821496713353454,
        4.821517695017346,
        4.82153819982524,
        4.8215587046331345,
        4.821579209441028,
        4.8216001911049196,
        4.821620695912814,
        4.821641200720708,
        4.8216617055286015,
        4.821682687192493,
        4.821703192000387,
        4.821723696808282,
        4.821744201616175,
        4.821764706424069,
        4.821785688087961,
        4.821806192895855,
        4.82182669770375,
        4.821847202511643,
        4.821868184175535,
        4.821888688983429,
        4.821909193791323,
        4.821929698599217,
        4.821950203407111,
        4.821970708215005,
        4.821991689878897,
        4.82201219468679,
        4.8220326994946845,
        4.822053204302579,
        4.822073709110472,
        4.822094690774364,
        4.822115195582258,
        4.822135700390152,
        4.822156205198047,
        4.82217671000594,
        4.822197214813834,
        4.822217719621729,
        4.82223870128562,
        4.822259206093514,
        4.822279710901408,
        4.822300215709302,
        4.822320720517196,
        4.82234122532509,
        4.822464731028452,
        4.8224852358363455,
        4.82250574064424,
        4.822526245452134,
        4.822546750260027,
        4.822567255067922,
        4.822587759875816,
        4.822608741539708,
        4.822629246347601,
        4.822649751155495,
        4.82267025596339,
        4.822690760771284,
        4.822711265579177,
        4.822731770387072,
        4.822752275194966,
        4.822772780002859,
        4.8227932848107535,
        4.822813789618648,
        4.822834294426542,
        4.8228547992344355,
        4.82287530404233,
        4.822895808850224,
        4.8229163136581175,
        4.822936818466012,
        4.822957323273906,
        4.8229778280818,
        4.822998332889694,
        4.823018837697588,
        4.823039342505482,
        4.823059847313376,
        4.82308035212127,
        4.823100856929164,
        4.8231213617370585,
        4.823141866544952,
        4.823162371352846,
        4.8231828761607405,
        4.823203380968634,
        4.823223885776528,
        4.8232443905844224,
        4.823264895392316,
        4.82328540020021,
        4.823305905008104,
        4.823326409815999,
        4.823346914623892,
        4.823367419431786,
        4.823387924239681,
        4.823408429047574,
        4.823428933855468,
        4.823449438663363,
        4.823469943471257,
        4.82349044827915,
        4.823510476231047,
        4.8235309810389415,
        4.823551485846835,
        4.823571990654729,
        4.8235924954626235,
        4.823613000270517,
        4.823633505078411,
        4.823654009886305,
        4.823674514694199,
        4.823695019502093,
        4.823715524309987,
        4.823735552261883,
        4.823756057069778,
        4.823776561877672,
        4.823797066685566,
        4.82381757149346,
        4.823838076301354,
        4.823858581109248,
        4.823879085917142,
        4.823899113869039,
        4.823919618676933,
        4.823940123484826,
        4.8239606282927205,
        4.823981133100615,
        4.824001637908508,
        4.824021665860405,
        4.824042170668299,
        4.824062675476193,
        4.824083180284087,
        4.824103685091981,
        4.824124189899876,
        4.824144217851772,
        4.824164722659666,
        4.824185227467559,
        4.824205732275454,
        4.824226237083348,
        4.824246265035244,
        4.824266769843138,
        4.824287274651033,
        4.824307779458927,
        4.82432828426682,
        4.824348312218717,
        4.824368817026611,
        4.824389321834505,
        4.824409826642399,
        4.824429854594295,
        4.8244503594021895,
        4.824470864210084,
        4.824491369017977,
        4.824511396969874,
        4.824531901777768,
        4.824552406585662,
        4.824572911393556,
        4.824592939345453,
        4.824613444153346,
        4.824633948961241,
        4.824654453769135,
        4.824674481721031,
        4.824694986528925,
        4.8247154913368195,
        4.824735996144713,
        4.82475602409661,
        4.824776528904504,
        4.8247970337123975,
        4.8248170616642945,
        4.824837566472189,
        4.824858071280082,
        4.824878099231979,
        4.8248986040398725,
        4.824919108847767,
        4.824939136799664,
        4.824959641607557,
        4.824980146415451,
        4.825000174367348,
        4.825020679175242,
        4.825041183983136,
        4.825061211935033,
        4.825081716742926,
        4.825102221550821,
        4.825122249502717,
        4.825142754310611,
        4.825163259118505,
        4.825183287070401,
        4.8252037918782955,
        4.82522429668619,
        4.825244324638086,
        4.82526482944598,
        4.825284857397877,
        4.82530536220577,
        4.825325867013665,
        4.825345894965562,
        4.825366399773455,
        4.825386904581349,
        4.825406932533245,
        4.82542743734114,
        4.825447465293037,
        4.82546797010093,
        4.825487998052827,
        4.825508502860721,
        4.825529007668615,
        4.8255490356205115,
        4.825569540428406,
        4.825589568380302,
        4.825610073188196,
        4.825630101140092,
        4.8256506059479864,
        4.825671110755881,
        4.825691138707777,
        4.825711643515671,
        4.825731671467567,
        4.825752176275461,
        4.825772204227358,
        4.825792709035252,
        4.825812736987149,
        4.825833241795043,
        4.825853269746939,
        4.825873774554833,
        4.825893802506729,
        4.825914307314624,
        4.826116971113576,
        4.826136999065473,
        4.826157503873366,
        4.826177531825263,
        4.826198036633157,
        4.826218064585054,
        4.826238569392948,
        4.826258597344844,
        4.826279102152738,
        4.826299130104634,
        4.826319634912529,
        4.8263396628644255,
        4.8263596908163215,
        4.826380195624216,
        4.826400223576112,
        4.826420728384006,
        4.826440756335903,
        4.8264612611437965,
        4.826481289095693,
        4.8265013170475894,
        4.826521821855484,
        4.826541849807381,
        4.826562354615274,
        4.826582382567171,
        4.826602410519067,
        4.826622915326961,
        4.826642943278857,
        4.826663448086752,
        4.826683476038649,
        4.826703503990545,
        4.826724008798439,
        4.826744036750335,
        4.826764064702232,
        4.826784569510126,
        4.826804597462022,
        4.826824625413919,
        4.8268451302218125,
        4.826865158173709,
        4.826885662981604,
        4.8269056909335,
        4.826925718885397,
        4.82694622369329,
        4.826966251645187,
        4.826986279597083,
        4.827006784404977,
        4.827026812356874,
        4.82704684030877,
        4.827067345116665,
        4.827087373068561,
        4.8271074010204575,
        4.827127428972354,
        4.827147933780248,
        4.827167961732145,
        4.827187989684041,
        4.827208494491935,
        4.827228522443831,
        4.827248550395728,
        4.827268578347624,
        4.827289083155518,
        4.8273091111074145,
        4.827329139059311,
        4.827349643867206,
        4.827369671819102,
        4.827389699770999,
        4.827409727722895,
        4.827430232530789,
        4.827450260482685,
        4.827470288434582,
        4.827490316386478,
        4.827510821194372,
        4.827530849146269,
        4.827550877098165,
        4.827570905050062,
        4.8275914098579555,
        4.8276114378098525,
        4.8276314657617485,
        4.827651493713645,
        4.8276715216655415,
        4.827692026473436,
        4.827712054425333,
        4.827732082377229,
        4.827752110329126,
        4.827772138281022,
        4.827792643088916,
        4.827812671040812,
        4.827832698992709,
        4.827852726944605,
        4.827872754896502,
        4.827893259704396,
        4.827913287656292,
        4.827933315608189,
        4.827953343560085,
        4.827973371511982,
        4.827993399463878,
        4.828013427415775,
        4.8280339322236685,
        4.828053960175565,
        4.8280739881274615,
        4.828094016079358,
        4.828114044031254,
        4.828134071983151,
        4.828154099935047,
        4.828174604742942,
        4.828194632694839,
        4.828214660646735,
        4.828234688598632,
        4.828254716550528,
        4.8282747445024246,
        4.828294772454321,
        4.8283148004062175,
        4.828335305214111,
        4.828355333166008,
        4.828375361117904,
        4.828395389069801,
        4.828415417021697,
        4.828435444973594,
        4.82845547292549,
        4.828475500877387,
        4.828495528829283,
        4.82851555678118,
        4.828535584733077,
        4.828555612684973,
        4.82857564063687,
        4.828595668588766,
        4.82861617339666,
        4.828636201348556,
        4.828656229300453,
        4.828676257252349,
        4.828696285204246,
        4.828716313156142,
        4.828736341108039,
        4.828756369059935,
        4.828776397011832,
        4.828796424963728,
        4.828816452915625,
        4.828836480867521,
        4.828856508819418,
        4.828876536771314,
        4.828896564723211,
        4.828916592675107,
        4.828936620627004,
        4.8289566485789,
        4.828976676530797,
        4.828996704482693,
        4.82901673243459,
        4.829036760386486,
        4.829056788338383,
        4.829076816290279,
        4.829096844242176,
        4.829116872194072,
        4.8291369001459685,
        4.829156928097865,
        4.8291769560497615,
        4.8291969840016575,
        4.8292170119535545,
        4.829236563049453,
        4.82925659100135,
        4.829276618953246,
        4.829296646905143,
        4.829316674857039,
        4.829336702808936,
        4.829356730760832,
        4.829376758712729,
        4.829396786664625,
        4.829416814616522,
        4.829436842568418,
        4.829456870520315,
        4.829476898472211,
        4.8294964495681105,
        4.829516477520007,
        4.8295365054719035,
        4.829776364038664,
        4.82979639199056,
        4.829815943086459,
        4.829835971038356,
        4.829855998990252,
        4.829876026942149,
        4.829896054894045,
        4.8299160828459415,
        4.82993563394184,
        4.829955661893737,
        4.829975689845633,
        4.82999571779753,
        4.830015745749426,
        4.830035773701323,
        4.830055324797222,
        4.830075352749119,
        4.830095380701015,
        4.830115408652912,
        4.830135436604808,
        4.830154987700706,
        4.830175015652603,
        4.830195043604499,
        4.830215071556396,
        4.830234622652295,
        4.830254650604192,
        4.830274678556088,
        4.830294706507985,
        4.830314734459881,
        4.8303342855557805,
        4.8303543135076765,
        4.8303743414595735,
        4.8303943694114695,
        4.830413920507368,
        4.830433948459265,
        4.830453976411161,
        4.830473527507061,
        4.830493555458957,
        4.830513583410854,
        4.83053361136275,
        4.830553162458649,
        4.830573190410545,
        4.830593218362442,
        4.830613246314338,
        4.830632797410237,
        4.830652825362134,
        4.83067285331403,
        4.8306924044099295,
        4.830712432361826,
        4.8307324603137225,
        4.830752011409621,
        4.830772039361518,
        4.830792067313414,
        4.830811618409313,
        4.83083164636121,
        4.830851674313106,
        4.830871225409005,
        4.830891253360901,
        4.830911281312798,
        4.830930832408697,
        4.830950860360594,
        4.83097088831249,
        4.830990439408389,
        4.831010467360286,
        4.831030495312182,
        4.831050046408081,
        4.831070074359977,
        4.831090102311874,
        4.831109653407773,
        4.831129681359669,
        4.8311492324555685,
        4.8311692604074645,
        4.8311892883593615,
        4.83120883945526,
        4.831228867407157,
        4.831248895359053,
        4.831268446454952,
        4.831288474406849,
        4.831308025502747,
        4.831328053454644,
        4.83134808140654,
        4.83136763250244,
        4.831387660454336,
        4.831407211550235,
        4.831427239502132,
        4.83144679059803,
        4.831466818549927,
        4.831486846501823,
        4.831506397597723,
        4.831526425549619,
        4.8315459766455175,
        4.8315660045974145,
        4.831585555693313,
        4.83160558364521,
        4.831625134741109,
        4.831645162693005,
        4.831664713788904,
        4.8316847417408,
        4.831704769692697,
        4.831724320788596,
        4.831744348740493,
        4.831763899836392,
        4.831783927788288,
        4.831803478884187,
        4.831823506836083,
        4.831843057931983,
        4.831863085883879,
        4.831882636979778,
        4.8319026649316745,
        4.831922216027573,
        4.83194224397947,
        4.831961795075369,
        4.831981823027265,
        4.832001374123164,
        4.832020925219063,
        4.83204095317096,
        4.832060504266859,
        4.832080532218755,
        4.832100083314654,
        4.83212011126655,
        4.83213966236245,
        4.832159690314346,
        4.832179241410245,
        4.832199269362142,
        4.83221882045804,
        4.832238371553939,
        4.832258399505836,
        4.832277950601735,
        4.8322979785536315,
        4.83231752964953,
        4.832337557601427,
        4.832357108697326,
        4.8323766597932245,
        4.832396687745121,
        4.83241623884102,
        4.832436266792917,
        4.832455817888816,
        4.832475368984714,
        4.832495396936611,
        4.83251494803251,
        4.832534975984406,
        4.832554527080306,
        4.832574078176204,
        4.832594106128101,
        4.832613657224,
        4.832633208319899,
        4.8326532362717955,
        4.832672787367694,
        4.832692815319591,
        4.83271236641549,
        4.8327319175113885,
        4.8327519454632855,
        4.832771496559184,
        4.832791047655083,
        4.83281107560698,
        4.832830626702878,
        4.832850177798777,
        4.832870205750674,
        4.832889756846573,
        4.832909307942471,
        4.832929335894368,
        4.832948886990267,
        4.832968438086167,
        4.832988466038063,
        4.833008017133961,
        4.833027568229861,
        4.83304711932576,
        4.8330671472776565,
        4.833086698373555,
        4.833106249469454,
        4.833126277421351,
        4.833441002379724,
        4.833460553475623,
        4.833480104571522,
        4.833499655667421,
        4.8335196836193175,
        4.833539234715216,
        4.833558785811115,
        4.833578336907014,
        4.833597888002913,
        4.83361791595481,
        4.833637467050709,
        4.833657018146607,
        4.833676569242506,
        4.833696120338406,
        4.833716148290302,
        4.833735699386201,
        4.8337552504821,
        4.833774801577999,
        4.833794352673897,
        4.833813903769797,
        4.833833931721693,
        4.8338534828175925,
        4.833873033913491,
        4.83389258500939,
        4.833912136105289,
        4.833931687201188,
        4.833951715153084,
        4.833971266248984,
        4.8339908173448825,
        4.834010368440781,
        4.834029919536681,
        4.834049470632579,
        4.834069021728478,
        4.834088572824377,
        4.834108600776274,
        4.834128151872172,
        4.834147702968072,
        4.834167254063971,
        4.834186805159869,
        4.834206356255768,
        4.834225907351668,
        4.834245458447566,
        4.834265009543465,
        4.834285037495362,
        4.8343045885912606,
        4.83432413968716,
        4.834343690783059,
        4.8343632418789575,
        4.834382792974856,
        4.834402344070756,
        4.834421895166654,
        4.834441446262553,
        4.834460997358453,
        4.834480548454351,
        4.83450009955025,
        4.83451965064615,
        4.834539201742048,
        4.834558752837947,
        4.834578303933846,
        4.834597855029745,
        4.834617882981641,
        4.834637434077541,
        4.83465698517344,
        4.834676536269338,
        4.834696087365238,
        4.8347156384611365,
        4.834735189557035,
        4.834754740652934,
        4.834774291748833,
        4.834793842844732,
        4.834813393940631,
        4.83483294503653,
        4.834852496132429,
        4.834872047228328,
        4.834891598324227,
        4.834911149420126,
        4.834930700516025,
        4.834950251611923,
        4.834969802707823,
        4.834988876947724,
        4.835008428043623,
        4.8350279791395225,
        4.835047530235421,
        4.83506708133132,
        4.835086632427219,
        4.835106183523118,
        4.835125734619017,
        4.8351452857149155,
        4.835164836810815,
        4.835184387906714,
        4.8352039390026125,
        4.835223490098512,
        4.835243041194411,
        4.835262592290309,
        4.835282143386208,
        4.835301694482108,
        4.835320768722009,
        4.835340319817908,
        4.835359870913806,
        4.835379422009706,
        4.835398973105605,
        4.835418524201503,
        4.835438075297403,
        4.835457626393302,
        4.8354771774892,
        4.8354967285851,
        4.835515802825001,
        4.8355353539209,
        4.8355549050167985,
        4.835574456112698,
        4.835594007208597,
        4.8356135583044955,
        4.835633109400395,
        4.835652183640296,
        4.835671734736195,
        4.835691285832094,
        4.835710836927993,
        4.835730388023892,
        4.835749939119791,
        4.83576949021569,
        4.835788564455592,
        4.83580811555149,
        4.835827666647389,
        4.8358472177432885,
        4.835866768839187,
        4.8358858430790885,
        4.835905394174987,
        4.835924945270887,
        4.8359444963667855,
        4.835964047462684,
        4.835983598558583,
        4.836002672798485,
        4.836022223894384,
        4.836041774990282,
        4.836061326086181,
        4.836080400326083,
        4.836099951421982,
        4.836119502517881,
        4.836139053613779,
        4.836158604709679,
        4.83617767894958,
        4.836197230045479,
        4.8362167811413785,
        4.836236332237277,
        4.8362554064771786,
        4.836274957573077,
        4.836294508668977,
        4.8363140597648755,
        4.836333134004777,
        4.8363526851006755,
        4.836372236196575,
        4.836391787292474,
        4.836410861532375,
        4.836430412628274,
        4.836449963724173,
        4.836469037964075,
        4.836488589059973,
        4.836508140155872,
        4.836527691251772,
        4.836546765491673,
        4.836566316587572,
        4.83658586768347,
        4.836604941923372,
        4.836624493019271,
        4.83664404411517,
        4.836663118355071,
        4.83668266945097,
        4.8367022205468695,
        4.836721771642768,
        4.8367408458826695,
        4.837070353376967,
        4.837089904472865,
        4.8371089787127675,
        4.837128529808666,
        4.837148080904565,
        4.837167155144466,
        4.837186706240366,
        4.837205780480267,
        4.837225331576166,
        4.837244882672064,
        4.837263956911966,
        4.837283508007865,
        4.837302582247767,
        4.837322133343665,
        4.837341207583567,
        4.837360758679465,
        4.837380309775365,
        4.837399384015266,
        4.837418935111165,
        4.837438009351066,
        4.837457560446966,
        4.837476634686867,
        4.837496185782766,
        4.837515260022667,
        4.837534811118566,
        4.837553885358468,
        4.837573436454367,
        4.8375929875502655,
        4.837612061790167,
        4.837631612886066,
        4.837650687125968,
        4.837670238221866,
        4.837689312461768,
        4.837708863557666,
        4.837727937797568,
        4.837747488893467,
        4.837766563133369,
        4.837786114229267,
        4.837805188469169,
        4.837824739565068,
        4.8378438138049695,
        4.837863364900868,
        4.8378824391407695,
        4.837901990236668,
        4.83792106447657,
        4.837940138716472,
        4.8379596898123705,
        4.837978764052272,
        4.8379983151481705,
        4.838017389388072,
        4.838036940483971,
        4.838056014723873,
        4.838075565819771,
        4.838094640059673,
        4.838114191155572,
        4.838133265395474,
        4.838152339635375,
        4.838171890731274,
        4.838190964971175,
        4.838210516067074,
        4.838229590306976,
        4.8382491414028745,
        4.838268215642776,
        4.838287289882677,
        4.838306840978576,
        4.838325915218477,
        4.838345466314377,
        4.838364540554278,
        4.838383614794179,
        4.838403165890078,
        4.8384222401299795,
        4.838441791225879,
        4.83846086546578,
        4.838479939705682,
        4.83849949080158,
        4.838518565041482,
        4.838537639281383,
        4.838557190377283,
        4.838576264617184,
        4.838595815713083,
        4.838614889952984,
        4.838633964192885,
        4.838653515288785,
        4.838672589528686,
        4.8386916637685875,
        4.838711214864486,
        4.8387302891043875,
        4.838749363344289,
        4.838768914440188,
        4.83878798868009,
        4.838807062919991,
        4.83882661401589,
        4.838845688255791,
        4.838864762495692,
        4.838884313591592,
        4.838903387831493,
        4.838922462071395,
        4.838941536311296,
        4.838961087407195,
        4.838980161647096,
        4.838999235886998,
        4.839018786982897,
        4.839037861222798,
        4.8390569354626995,
        4.839076009702601,
        4.8390955607985,
        4.839114635038402,
        4.839133709278303,
        4.839153260374202,
        4.839172334614103,
        4.8391914088540045,
        4.839210483093906,
        4.839230034189805,
        4.839249108429707,
        4.839268182669608,
        4.839287256909509,
        4.839306808005408,
        4.839325882245309,
        4.839344956485211,
        4.839364030725112,
        4.839383104965014,
        4.839402656060913,
        4.839421730300814,
        4.839440804540716,
        4.839459878780617,
        4.8394794298765165,
        4.839498504116418,
        4.839517578356319,
        4.8395366525962205,
        4.839555726836122,
        4.8395752779320205,
        4.839594352171922,
        4.839613426411823,
        4.839632500651725,
        4.839651574891627,
        4.839670649131528,
        4.839690200227427,
        4.839709274467328,
        4.839728348707229,
        4.839747422947131,
        4.839766497187032,
        4.839785571426934,
        4.839805122522833,
        4.839824196762734,
        4.839843271002636,
        4.839862345242537,
        4.839881419482438,
        4.8399004937223395,
        4.839920044818239,
        4.8399391190581404,
        4.839958193298042,
        4.839977267537943,
        4.839996341777844,
        4.840015416017746,
        4.840034490257647,
        4.840053564497548,
        4.840072638737451,
        4.840092189833349,
        4.840111264073251,
        4.840130338313152,
        4.840149412553053,
        4.840168486792955,
        4.840187561032856,
        4.840206635272757,
        4.8402257095126595,
        4.840244783752561,
        4.840263857992462,
        4.84117942150773,
        4.841198495747632,
        4.841217569987533,
        4.841236644227434,
        4.841255718467336,
        4.841274792707237,
        4.841293866947138,
        4.84131294118704,
        4.841332015426941,
        4.841351089666843,
        4.841369687050746,
        4.8413887612906485,
        4.84140783553055,
        4.841426909770451,
        4.8414459840103525,
        4.841465058250254,
        4.841484132490155,
        4.8415032067300565,
        4.8415218041139605,
        4.841540878353862,
        4.841559952593763,
        4.8415790268336645,
        4.841598101073567,
        4.841617175313468,
        4.841636249553369,
        4.841654846937273,
        4.841673921177175,
        4.841692995417076,
        4.841712069656977,
        4.841731143896879,
        4.84175021813678,
        4.841768815520684,
        4.841787889760585,
        4.841806964000487,
        4.841826038240388,
        4.841845112480289,
        4.8418641867201915,
        4.841882784104095,
        4.841901858343997,
        4.841920932583898,
        4.841940006823799,
        4.841959081063701,
        4.841977678447605,
        4.841996752687506,
        4.842015826927407,
        4.842034901167309,
        4.842053498551213,
        4.842072572791114,
        4.842091647031015,
        4.842110721270917,
        4.842129795510818,
        4.842148392894722,
        4.842167467134623,
        4.842186541374525,
        4.842205615614427,
        4.842224212998331,
        4.842243287238232,
        4.8422623614781335,
        4.842281435718035,
        4.842300033101939,
        4.84231910734184,
        4.8423381815817415,
        4.842356778965645,
        4.842375853205547,
        4.842394927445448,
        4.842414001685349,
        4.842432599069253,
        4.842451673309155,
        4.842470747549056,
        4.84248934493296,
        4.842508419172861,
        4.842527493412763,
        4.842546567652664,
        4.843660503262908,
        4.843679100646812,
        4.843698174886713,
        4.843716772270617,
        4.843735846510518,
        4.843754443894422,
        4.8437735181343236,
        4.8437921155182275,
        4.843811189758129,
        4.843829787142033,
        4.843848861381934,
        4.843867458765838,
        4.8438865330057395,
        4.843905130389643,
        4.843924204629545,
        4.844431579410922,
        4.844450176794826,
        4.844469251034727,
        4.844487848418631,
        4.844506445802535,
        4.844525520042437,
        4.844544117426341,
        4.844563191666242,
        4.844581789050146,
        4.84460038643405,
        4.844619460673951,
        4.844638058057855,
        4.844656655441759,
        4.8446757296816605,
        4.8446943270655645,
        4.844712924449468,
        4.84473199868937,
        4.844750596073274,
        4.844769193457178,
        4.844788267697079,
        4.844806865080983,
        4.844825462464887,
        4.84484405984879,
        4.844863134088692,
        4.844881731472595,
        4.844900328856499,
        4.844919403096401,
        4.844938000480305,
        4.844956597864209,
        4.84497567210411,
        4.844994269488014,
        4.845012866871918,
        4.845031464255822,
        4.845050538495723,
        4.845069135879627,
        4.845087733263531,
        4.845106330647435,
        4.8451254048873365,
        4.84514400227124,
        4.845162599655144,
        4.845181197039048,
        4.84520027127895,
        4.845218868662854,
        4.845237466046758,
        4.845256063430661,
        4.845275137670563,
        4.845293735054466,
        4.84531233243837,
        4.845330929822274,
        4.845350004062175,
        4.845368601446079,
        4.845387198829983,
        4.845405796213887,
        4.845424393597791,
        4.8454434678376925,
        4.8454620652215965,
        4.8454806626055005,
        4.8454992599894045,
        4.845518334229306,
        4.84553693161321,
        4.845555528997114,
        4.845574126381018,
        4.845592723764921,
        4.845611321148825,
        4.845630395388726,
        4.84564899277263,
        4.845667590156534,
        4.845686187540438,
        4.845704784924342,
        4.845723382308246,
        4.845742456548147,
        4.845761053932051,
        4.845779651315955,
        4.845798248699859,
        4.845816846083763,
        4.845835443467667,
        4.8458545177075685,
        4.8458731150914724,
        4.8458917124753755,
        4.8459103098592795,
        4.8459289072431835,
        4.8459475046270875,
        4.845966102010991,
        4.845984699394895,
        4.846003773634797,
        4.846022371018701,
        4.846040968402605,
        4.846059565786509,
        4.846078163170413,
        4.846096760554317,
        4.84611535793822,
        4.846133955322124,
        4.846152552706028,
        4.846171150089932,
        4.846189747473836,
        4.846208821713737,
        4.846227419097641,
        4.846246016481545,
        4.846264613865449,
        4.846283211249353,
        4.846301808633257,
        4.846320406017161,
        4.846339003401064,
        4.846357600784968,
        4.846376198168872,
        4.846394795552776,
        4.84641339293668,
        4.846431990320584,
        4.846450587704488,
        4.846469185088392,
        4.846487782472296,
        4.8465063798562,
        4.846524977240103,
        4.846544051480005,
        4.846562648863908,
        4.846581246247812,
        4.846599843631716,
        4.84661844101562,
        4.846637038399524,
        4.846655635783428,
        4.846674233167332,
        4.846692830551236,
        4.84671142793514,
        4.846730025319044,
        4.846748622702947,
        4.846767220086851,
        4.846785817470755,
        4.846804414854659,
        4.846823012238563,
        4.846841132766469,
        4.846859730150373,
        4.846878327534277,
        4.84689692491818,
        4.846915522302084,
        4.846934119685988,
        4.846952717069892,
        4.846971314453796,
        4.8469899118377,
        4.847008509221604,
        4.847027106605508,
        4.847045703989412,
        4.847064301373316,
        4.847082898757219,
        4.847101496141123,
        4.847120093525027,
        4.847138690908931,
        4.847157288292835,
        4.847175885676739,
        4.847194006204646,
        4.84721260358855,
        4.847231200972453,
        4.847249798356357,
        4.847268395740261,
        4.847286993124165,
        4.847305590508069,
        4.847324187891973,
        4.847342785275877,
        4.847361382659781,
        4.847379503187686,
        4.84739810057159,
        4.847416697955494,
        4.847435295339398,
        4.847453892723302,
        4.847472490107206,
        4.84749108749111,
        4.847509684875014,
        4.84752780540292,
        4.847546402786824,
        4.847565000170728,
        4.847583597554632,
        4.848027550488338,
        4.848046147872242,
        4.848064745256146,
        4.848083342640049,
        4.848101940023953,
        4.848120060551859,
        4.848138657935763,
        4.848157255319667,
        4.848175852703571,
        4.848193973231477,
        4.848212570615381,
        4.848231167999285,
        4.848249765383189,
        4.8482678859110955,
        4.8482864832949994,
        4.848305080678903,
        4.848323201206809,
        4.848341798590713,
        4.848360395974617,
        4.848378993358521,
        4.848397113886428,
        4.848415711270332,
        4.848434308654236,
        4.848452429182141,
        4.848471026566045,
        4.848489623949949,
        4.848508221333853,
        4.84852634186176,
        4.848544939245664,
        4.848563536629567,
        4.848581657157474,
        4.8486002545413776,
        4.8486188519252815,
        4.848636972453188,
        4.848655569837092,
        4.848674167220995,
        4.848692287748902,
        4.848710885132806,
        4.84872948251671,
        4.848747603044616,
        4.84876620042852,
        4.848784797812423,
        4.84880291834033,
        4.848821515724234,
        4.848840113108138,
        4.848858233636045,
        4.848876831019949,
        4.848895428403852,
        4.848913548931758,
        4.848932146315662,
        4.848950266843569,
        4.848968864227473,
        4.848987461611377,
        4.849005582139283,
        4.8490241795231865,
        4.849042300051093,
        4.849060897434997,
        4.849079494818901,
        4.849097615346807,
        4.849116212730711,
        4.849134333258617,
        4.849152930642521,
        4.849171528026425,
        4.849189648554331,
        4.849208245938235,
        4.849226366466142,
        4.849244963850046,
        4.84926356123395,
        4.849281681761856,
        4.849300279145759,
        4.849318399673666,
        4.84933699705757,
        4.8493551175854765,
        4.8493737149693805,
        4.849391835497286,
        4.84941043288119,
        4.849429030265094,
        4.849447150793001,
        4.849465748176905,
        4.8494838687048105,
        4.8495024660887145,
        4.849520586616621,
        4.849539184000525,
        4.849557304528432,
        4.849575901912336,
        4.849594022440241,
        4.849612619824145,
        4.849630740352052,
        4.849649337735956,
        4.849667458263862,
        4.849686055647766,
        4.849704176175672,
        4.849722773559576,
        4.849740894087483,
        4.849759491471387,
        4.849777611999293,
        4.8497962093831966,
        4.849814329911103,
        4.849832927295007,
        4.849851047822913,
        4.849869645206817,
        4.8498877657347235,
        4.849906363118627,
        4.849924483646534,
        4.849943081030438,
        4.849961201558344,
        4.84997932208625,
        4.849997919470154,
        4.850016039998061,
        4.850034637381964,
        4.850052757909871,
        4.850071355293775,
        4.850089475821681,
        4.850108073205585,
        4.850126193733491,
        4.850144314261398,
        4.8501629116453016,
        4.850181032173208,
        4.850199629557111,
        4.850217750085018,
        4.8502358706129245,
        4.8502544679968285,
        4.850272588524734,
        4.850291185908638,
        4.850309306436545,
        4.850327426964451,
        4.850346024348355,
        4.850364144876261,
        4.850382742260165,
        4.850400862788072,
        4.850418983315978,
        4.850437580699882,
        4.850455701227788,
        4.850474298611692,
        4.850492419139599,
        4.850510539667505,
        4.850529137051408,
        4.850547257579315,
        4.8505653781072215,
        4.8505839754911255,
        4.850602096019031,
        4.850620216546938,
        4.850638813930842,
        4.8506569344587485,
        4.850675054986654,
        4.850693652370558,
        4.850711772898465,
        4.850729893426371,
        4.850748490810275,
        4.850766611338181,
        4.850784731866088,
        4.850803329249992,
        4.850821449777898,
        4.850839570305804,
        4.850858167689708,
        4.850876288217615,
        4.850894408745521,
        4.850913006129425,
        4.850931126657331,
        4.850949247185238,
        4.850967367713144,
        4.850985965097048,
        4.851004085624954,
        4.8510222061528605,
        4.8510408035367645,
        4.851058924064671,
        4.851077044592577,
        4.851095165120483,
        4.851113762504387,
        4.851131883032294,
        4.853748153462773,
        4.856656259763742,
        4.856678195139629,
        4.856699653659518,
        4.856721589035405,
        4.856743047555294,
        4.85676498293118,
        4.85678644145107,
        4.856807899970959,
        4.856829835346845,
        4.856851293866734,
        4.856873229242621,
        4.8568946877625105,
        4.8569161462823995,
        4.856938081658286,
        4.856959540178175,
        4.856980998698064,
        4.857002934073951,
        4.85702439259384,
        4.857045851113729,
        4.8570677864896155,
        4.8570892450095045,
        4.857111180385392,
        4.857132638905281,
        4.85715409742517,
        4.857176032801056,
        4.857197491320945,
        4.857218949840834,
        4.857240885216721,
        4.85726234373661,
        4.857283802256499,
        4.857305737632386,
        4.857327196152275,
        4.857348654672164,
        4.8573701131920535,
        4.85739204856794,
        4.857413507087829,
        4.857434965607718,
        4.857456900983604,
        4.857478359503494,
        4.857499818023383,
        4.857521276543272,
        4.857543211919158,
        4.857564670439047,
        4.857586128958936,
        4.857608064334824,
        4.857629522854713,
        4.857650981374602,
        4.857672439894491,
        4.857694375270377,
        4.857715833790266,
        4.857737292310156,
        4.857758750830045,
        4.857780209349934,
        4.85780214472582,
        4.857823603245709,
        4.857845061765598,
        4.857866520285487,
        4.857888455661374,
        4.857909914181263,
        4.857931372701152,
        4.857952831221041,
        4.85797428974093,
        4.857996225116818,
        4.858017683636707,
        4.858039142156596,
        4.858060600676485,
        4.858082059196374,
        4.85810399457226,
        4.858125453092149,
        4.858146911612039,
        4.858168370131928,
        4.858189828651817,
        4.858211287171706,
        4.858233222547592,
        4.858254681067481,
        4.85827613958737,
        4.85829759810726,
        4.858319056627149,
        4.858340515147038,
        4.858361973666927,
        4.858383909042813,
        4.858405367562702,
        4.858426826082591,
        4.858448284602481,
        4.85846974312237,
        4.858491201642259,
        4.858512660162148,
        4.858899867232147,
        4.8589213257520365,
        4.8589427842719255,
        4.8589642427918145,
        4.8589857013117035,
        4.8590071598315925,
        4.8590286183514815,
        4.8590500768713705,
        4.8590715353912595,
        4.8590929939111485,
        4.859114452431038,
        4.859135910950927,
        4.859157369470816,
        4.859178827990705,
        4.859200286510594,
        4.859221745030483,
        4.859243203550372,
        4.859264662070261,
        4.85928612059015,
        4.85930757911004,
        4.859329037629929,
        4.859350496149818,
        4.859371954669707,
        4.859393413189596,
        4.859414871709485,
        4.859435853373377,
        4.859457311893266,
        4.859478770413155,
        4.859500228933044,
        4.859521687452934,
        4.859543145972823,
        4.859564604492712,
        4.859586063012601,
        4.85960752153249,
        4.859628980052379,
        4.859650438572268,
        4.859671897092157,
        4.859693355612046,
        4.8597148141319355,
        4.859735795795827,
        4.859757254315716,
        4.859778712835605,
        4.859800171355494,
        4.859821629875383,
        4.859843088395272,
        4.859864546915161,
        4.85988600543505,
        4.859907463954939,
        4.859928445618831,
        4.85994990413872,
        4.85997136265861,
        4.859992821178499,
        4.860014279698388,
        4.860035738218277,
        4.860057196738166,
        4.860078178402057,
        4.860099636921946,
        4.860121095441835,
        4.860142553961724,
        4.860164012481613,
        4.860185471001503,
        4.860206452665394,
        4.860227911185284,
        4.860249369705173,
        4.860270828225062,
        4.860292286744951,
        4.860313268408842,
        4.860334726928731,
        4.86035618544862,
        4.860377643968509,
        4.860399102488398,
        4.86042008415229,
        4.860441542672179,
        4.860463001192068,
        4.860484459711958,
        4.860505441375849,
        4.8605268998957385,
        4.8605483584156275,
        4.8605698169355165,
        4.8605912754554055,
        4.860612257119297,
        4.860633715639186,
        4.860655174159075,
        4.860676155822967,
        4.860697614342856,
        4.860719072862745,
        4.860740531382634,
        4.860761513046525,
        4.860782971566414,
        4.860804430086303,
        4.860825888606193,
        4.860846870270084,
        4.860868328789974,
        4.860889787309863,
        4.8609107689737545,
        4.8609322274936435,
        4.8609536860135325,
        4.860974667677424,
        4.860996126197313,
        4.861017584717202,
        4.861039043237091,
        4.861060024900983,
        4.861081483420872,
        4.861102941940761,
        4.861123923604652,
        4.861145382124541,
        4.86116684064443,
        4.861187822308322,
        4.861209280828211,
        4.861230739348101,
        4.861251721011992,
        4.8612731795318815,
        4.861294161195773,
        4.861315619715662,
        4.861337078235551,
        4.861358059899443,
        4.861379518419332,
        4.861400976939221,
        4.861421958603112,
        4.861443417123001,
        4.861464398786893,
        4.861485857306782,
        4.861507315826671,
        4.861528297490563,
        4.861549756010452,
        4.861570737674343,
        4.861592196194232,
        4.861613654714121,
        4.861634636378013,
        4.861656094897902,
        4.861677076561794,
        4.861698535081683,
        4.861719516745574,
        4.861740975265463,
        4.861762433785352,
        4.861783415449244,
        4.861804873969133,
        4.8618258556330245,
        4.8618473141529135,
        4.861868295816805,
        4.861889754336695,
        4.861910736000586,
        4.861932194520476,
        4.861953176184366,
        4.861974634704256,
        4.861995616368147,
        4.862017074888037,
        4.8620380565519286,
        4.8620595150718176,
        4.862080496735709,
        4.862101955255598,
        4.86212293691949,
        4.862144395439379,
        4.862547338757296,
        4.862568320421188,
        4.8625893020850794,
        4.862610760604968,
        4.86263174226886,
        4.862653200788749,
        4.862674182452641,
        4.862695164116532,
        4.862716622636421,
        4.862737604300313,
        4.862759062820202,
        4.862780044484094,
        4.862801026147985,
        4.862822484667874,
        4.862843466331766,
        4.862864924851655,
        4.8628859065155465,
        4.862906888179438,
        4.862928346699327,
        4.862949328363219,
        4.86297031002711,
        4.862991768546999,
        4.863012750210891,
        4.863033731874782,
        4.863055190394672,
        4.863076172058563,
        4.863097153722454,
        4.863118612242344,
        4.863139593906235,
        4.863160575570126,
        4.863182034090015,
        4.863203015753907,
        4.863223997417799,
        4.863245455937688,
        4.863266437601579,
        4.863287419265471,
        4.863308400929363,
        4.863329859449252,
        4.863350841113143,
        4.863371822777035,
        4.863393281296924,
        4.8634142629608155,
        4.863435244624707,
        4.863456226288599,
        4.863477684808488,
        4.863498666472379,
        4.863519648136271,
        4.863540629800163,
        4.863562088320052,
        4.863583069983943,
        4.863604051647835,
        4.863625033311727,
        4.863646491831616,
        4.863667473495507,
        4.863688455159399,
        4.8637094368232905,
        4.8637308953431795,
        4.863751877007071,
        4.863772858670962,
        4.8637938403348535,
        4.863814821998745,
        4.863836280518634,
        4.863857262182526,
        4.863878243846417,
        4.863899225510309,
        4.863920207174201,
        4.86394166569409,
        4.863962647357981,
        4.863983629021873,
        4.864004610685765,
        4.864025592349656,
        4.864047050869545,
        4.864068032533437,
        4.8640890141973285,
        4.86410999586122,
        4.864130977525112,
        4.8641519591890034,
        4.864172940852894,
        4.864194399372784,
        4.864215381036675,
        4.8642363627005665,
        4.864257344364458,
        4.86427832602835,
        4.864299307692241,
        4.864320289356133,
        4.864341271020025,
        4.864362729539914,
        4.864383711203805,
        4.864404692867697,
        4.864425674531589,
        4.86444665619548,
        4.864467637859372,
        4.8644886195232635,
        4.864509601187154,
        4.864530582851046,
        4.8645515645149375,
        4.8645730230348265,
        4.864594004698718,
        4.86461498636261,
        4.8646359680265014,
        4.864656949690393,
        4.864677931354285,
        4.864698913018176,
        4.864719894682068,
        4.86474087634596,
        4.864761858009851,
        4.864782839673743,
        4.864803821337634,
        4.864824803001525,
        4.864845784665417,
        4.864866766329309,
        4.8648877479932,
        4.864908729657092,
        4.8649297113209835,
        4.864950692984875,
        4.864971674648767,
        4.864992656312658,
        4.86501363797655,
        4.865034619640441,
        4.8650556013043325,
        4.865076582968224,
        4.865097564632116,
        4.865118546296007,
        4.865139527959899,
        4.865160509623791,
        4.865181491287682,
        4.865202472951574,
        4.865223454615466,
        4.865244436279357,
        4.865265417943249,
        4.86528639960714,
        4.865307381271031,
        4.865328362934923,
        4.8653493445988145,
        4.865370326262706,
        4.865391307926598,
        4.865412289590489,
        4.865433271254381,
        4.865454252918273,
        4.865475234582164,
        4.865496216246056,
        4.865516721053949,
        4.865537702717841,
        4.865558684381733,
        4.865579666045624,
        4.865600647709516,
        4.865621629373408,
        4.865642611037299,
        4.865663592701191,
        4.8656845743650825,
        4.865705556028973,
        4.8657260608368675,
        4.865747042500759,
        4.865768024164651,
        4.8657890058285425,
        4.865809987492434,
        4.866165245210598,
        4.86618622687449,
        4.866207208538381,
        4.866228190202273,
        4.866248695010166,
        4.866269676674058,
        4.86629065833795,
        4.866311640001841,
        4.866332621665733,
        4.866353126473627,
        4.866374108137518,
        4.86639508980141,
        4.866416071465301,
        4.866436576273196,
        4.866457557937087,
        4.866478539600979,
        4.8664995212648705,
        4.866520026072764,
        4.8665410077366555,
        4.866561989400547,
        4.866582971064439,
        4.866603475872333,
        4.866624457536225,
        4.866645439200116,
        4.866666420864008,
        4.866686925671901,
        4.866707907335793,
        4.866728888999685,
        4.866749393807579,
        4.866770375471471,
        4.866791357135362,
        4.866812338799254,
        4.866832843607147,
        4.866853825271039,
        4.866874806934931,
        4.866895311742825,
        4.8669162934067165,
        4.866937275070608,
        4.8669577798785015,
        4.866978761542393,
        4.866999743206285,
        4.867020248014179,
        4.867041229678071,
        4.867062211341962,
        4.867082716149857,
        4.867103697813747,
        4.867124679477639,
        4.867145184285533,
        4.867166165949425,
        4.867187147613317,
        4.867207652421211,
        4.8672286340851025,
        4.867249138892996,
        4.867270120556888,
        4.867291102220779,
        4.8673116070286735,
        4.867332588692565,
        4.8673530935004585,
        4.86737407516435,
        4.867395056828242,
        4.867415561636136,
        4.867436543300028,
        4.867457048107922,
        4.867478029771813,
        4.867499011435704,
        4.867519516243599,
        4.86754049790749,
        4.867561002715385,
        4.867581984379276,
        4.86760248918717,
        4.867623470851061,
        4.867644452514953,
        4.867664957322847,
        4.867685938986739,
        4.867706443794632,
        4.867727425458524,
        4.867747930266418,
        4.86776891193031,
        4.867789416738204,
        4.867810398402096,
        4.867830903209989,
        4.867851884873881,
        4.867872866537772,
        4.867893371345667,
        4.867914353009558,
        4.867934857817453,
        4.867955839481343,
        4.867976344289238,
        4.867997325953129,
        4.868017830761024,
        4.868038812424915,
        4.868059317232809,
        4.8680802988967,
        4.8681008037045945,
        4.868121308512489,
        4.8681422901763804,
        4.868162794984274,
        4.8681837766481655,
        4.86820428145606,
        4.868225263119951,
        4.868245767927846,
        4.868266749591737,
        4.868287254399631,
        4.868308236063522,
        4.868328740871417,
        4.868349245679311,
        4.868370227343202,
        4.868390732151096,
        4.868411713814988,
        4.868432218622882,
        4.8684532002867735,
        4.868473705094667,
        4.868494209902561,
        4.868515191566453,
        4.868535696374347,
        4.868556678038239,
        4.868577182846132,
        4.8685976876540265,
        4.868618669317918,
        4.868639174125812,
        4.868660155789704,
        4.868680660597597,
        4.868701165405492,
        4.868722147069383,
        4.868742651877278,
        4.868763633541169,
        4.868784138349063,
        4.868804643156957,
        4.868825624820849,
        4.868846129628743,
        4.868866634436636,
        4.868887616100528,
        4.868908120908422,
        4.8689286257163165,
        4.868949607380208,
        4.8689701121881015,
        4.868990616995996,
        4.869011598659887,
        4.869032103467782,
        4.869052608275675,
        4.869073589939567,
        4.869094094747461,
        4.869114599555355,
        4.869135581219247,
        4.86915608602714,
        4.869176590835035,
        4.869197095642929,
        4.8692180773068205,
        4.869238582114714,
        4.869259086922608,
        4.8692800685865,
        4.869300573394394,
        4.8693210782022875,
        4.869341583010182,
        4.8693625646740735,
        4.869383069481968,
        4.869403574289861,
        4.869424079097755,
        4.869445060761647,
        4.869795073063838,
        4.86981605472773,
        4.869836559535623,
        4.869857064343518,
        4.869877569151412,
        4.869898073959305,
        4.869919055623197,
        4.869939560431091,
        4.869960065238986,
        4.86998057004688,
        4.870001074854773,
        4.870021579662668,
        4.870042084470562,
        4.8700630661344535,
        4.870083570942347,
        4.870104075750241,
        4.8701245805581355,
        4.870145085366029,
        4.870165590173923,
        4.870186094981817,
        4.870207076645709,
        4.8702275814536025,
        4.870248086261497,
        4.870268591069391,
        4.870289095877285,
        4.870309600685179,
        4.870330105493073,
        4.870350610300967,
        4.870371115108861,
        4.870392096772752,
        4.870412601580647,
        4.870433106388541,
        4.870453611196434,
        4.870474116004329,
        4.870494620812223,
        4.870515125620117,
        4.8705356304280105,
        4.870556135235905,
        4.870576640043799,
        4.8705971448516925,
        4.870617649659587,
        4.870638154467481,
        4.870658659275375,
        4.870679164083269,
        4.870699668891163,
        4.870720650555055,
        4.870741155362949,
        4.870761660170842,
        4.870782164978737,
        4.870802669786631,
        4.870823174594524,
        4.870843679402419,
        4.870864184210313,
        4.870884689018207,
        4.8709051938261005,
        4.870925698633995,
        4.870946203441889,
        4.8709667082497825,
        4.870987213057677,
        4.871007717865571,
        4.871028222673465,
        4.871048727481359,
        4.871069232289253,
        4.871089737097147,
        4.871110241905041,
        4.871130269856938,
        4.871150774664832,
        4.871171279472725,
        4.87119178428062,
        4.871212289088514,
        4.871232793896407,
        4.871253298704302,
        4.871273803512196,
        4.87129430832009,
        4.8713148131279835,
        4.871335317935878,
        4.871355822743772,
        4.8713763275516655,
        4.87139683235956,
        4.871417337167454,
        4.871437841975348,
        4.871457869927244,
        4.871478374735139,
        4.871498879543033,
        4.871519384350926,
        4.871539889158821,
        4.871560393966715,
        4.871580898774608,
        4.871601403582503,
        4.871621908390397,
        4.871642413198291,
        4.871662441150187,
        4.8716829459580815,
        4.871703450765975,
        4.871723955573869,
        4.8717444603817635,
        4.871764965189658,
        4.871785469997551,
        4.871805497949448,
        4.8718260027573415,
        4.871846507565236,
        4.87186701237313,
        4.871887517181024,
        4.871908021988918,
        4.871928049940815,
        4.871948554748709,
        4.871969059556602,
        4.871989564364497,
        4.872010069172391,
        4.872030573980284,
        4.872050601932181,
        4.8720711067400755,
        4.872091611547969,
        4.872112116355863,
        4.8721326211637574,
        4.8721526491156535,
        4.872173153923548,
        4.872193658731442,
        4.8722141635393355,
        4.872234191491232,
        4.872254696299127,
        4.87227520110702,
        4.872295705914914,
        4.872316210722809,
        4.872336238674705,
        4.872356743482599,
        4.872377248290493,
        4.872397753098387,
        4.872417781050284,
        4.872438285858178,
        4.872458790666071,
        4.8724792954739655,
        4.8724993234258624,
        4.872519828233756,
        4.87254033304165,
        4.872560360993546,
        4.8725808658014405,
        4.872601370609335,
        4.872621875417229,
        4.872641903369125,
        4.872662408177019,
        4.872682912984914,
        4.87270294093681,
        4.872723445744704,
        4.872743950552597,
        4.872764455360492,
        4.872784483312389,
        4.872804988120282,
        4.872825492928176,
        4.872845520880073,
        4.872866025687967,
        4.872886530495861,
        4.872906558447758,
        4.872927063255651,
        4.8729475680635455,
        4.8729675960154415,
        4.872988100823336,
        4.87300860563123,
        4.873028633583126,
        4.87304913839102,
        4.873069166342917,
        4.873089671150811,
        4.873110175958705,
        4.87341488694113,
        4.873434914893027,
        4.873455419700921,
        4.873475447652817,
        4.873495952460711,
        4.873516457268606,
        4.873536485220502,
        4.873556990028396,
        4.873577017980292,
        4.873597522788186,
        4.873617550740083,
        4.873638055547977,
        4.8736580834998735,
        4.873678588307767,
        4.873698616259664,
        4.873719121067558,
        4.8737396258754515,
        4.873759653827348,
        4.873780158635243,
        4.873800186587139,
        4.873820691395033,
        4.873840719346929,
        4.873861224154823,
        4.87388125210672,
        4.873901756914614,
        4.873921784866511,
        4.873942289674405,
        4.873962317626301,
        4.873982822434195,
        4.874002850386091,
        4.874022878337988,
        4.874043383145882,
        4.8740634110977785,
        4.874083915905673,
        4.874103943857569,
        4.874124448665463,
        4.874144476617359,
        4.8741649814252535,
        4.87418500937715,
        4.874205514185044,
        4.874225542136941,
        4.874245570088837,
        4.874266074896731,
        4.874286102848628,
        4.874306607656521,
        4.874326635608418,
        4.874347140416312,
        4.874367168368209,
        4.874387196320105,
        4.874407701127999,
        4.874427729079896,
        4.874448233887789,
        4.874468261839686,
        4.874488289791582,
        4.8745087945994765,
        4.874528822551373,
        4.874549327359267,
        4.874569355311164,
        4.87458938326306,
        4.874609888070954,
        4.874629916022851,
        4.874650420830744,
        4.874670448782641,
        4.874690476734537,
        4.874710981542432,
        4.874731009494329,
        4.874751037446225,
        4.874771542254119,
        4.874791570206015,
        4.874811598157912,
        4.874832102965805,
        4.874852130917702,
        4.874872158869599,
        4.8748926636774925,
        4.8749126916293894,
        4.8749327195812855,
        4.87495322438918,
        4.874973252341076,
        4.874993280292973,
        4.875013785100867,
        4.875033813052763,
        4.87505384100466,
        4.875073868956556,
        4.87509437376445,
        4.875114401716346,
        4.875134429668243,
        4.875154934476138,
        4.875174962428034,
        4.8751949903799305,
        4.875215018331827,
        4.875235523139721,
        4.875255551091617,
        4.875275579043514,
        4.87529560699541,
        4.875316111803304,
        4.875336139755201,
        4.875356167707097,
        4.875376195658994,
        4.8753967004668874,
        4.875416728418784,
        4.87543675637068,
        4.875456784322577,
        4.875477289130472,
        4.875497317082368,
        4.875517345034265,
        4.875537372986161,
        4.875557877794055,
        4.875577905745951,
        4.875597933697848,
        4.875617961649744,
        4.875637989601641,
        4.875658494409535,
        4.875678522361431,
        4.875698550313328,
        4.875718578265224,
        4.875738606217121,
        4.8757591110250145,
        4.875779138976911,
        4.875799166928807,
        4.875819194880704,
        4.8758392228326,
        4.875859250784497,
        4.875879755592392,
        4.875899783544288,
        4.875919811496185,
        4.875939839448081,
        4.8759598673999776,
        4.875979895351874,
        4.8759999233037705,
        4.876020428111664,
        4.876040456063561,
        4.876060484015457,
        4.876080511967354,
        4.87610053991925,
        4.876120567871147,
        4.876140595823043,
        4.87616062377494,
        4.876181128582834,
        4.87620115653473,
        4.876221184486627,
        4.876241212438523,
        4.87626124039042,
        4.876281268342316,
        4.876301296294213,
        4.876321324246109,
        4.876341352198006,
        4.876361380149902,
        4.876381408101799,
        4.876401436053695,
        4.876421940861589,
        4.876441968813485,
        4.876461996765382,
        4.876482024717278,
        4.876502052669175,
        4.876522080621071,
        4.876542108572968,
        4.876562136524864,
        4.876582164476761,
        4.876602192428657,
        4.876622220380554,
        4.87664224833245,
        4.876662276284347,
        4.876682304236243,
        4.87670233218814,
        4.876722360140036,
        4.876742388091933,
        4.87676241604383,
        4.877042807370381,
        4.877062835322277,
        4.877082863274174,
        4.87710289122607,
        4.877122919177967,
        4.877142947129863,
        4.8771629750817596,
        4.877183003033656,
        4.8772030309855525,
        4.877222582081451,
        4.877242610033347,
        4.877262637985244,
        4.877282665937141,
        4.877302693889037,
        4.877322721840934,
        4.87734274979283,
        4.877362777744727,
        4.877382805696623,
        4.87740283364852,
        4.877422861600416,
        4.877442889552313,
        4.877462440648212,
        4.877482468600108,
        4.877502496552005,
        4.877522524503901,
        4.877542552455798,
        4.877562580407694,
        4.877582608359591,
        4.877602636311487,
        4.877622187407386,
        4.877642215359282,
        4.877662243311179,
        4.877682271263075,
        4.877702299214972,
        4.877722327166868,
        4.877742355118765,
        4.877761906214664,
        4.877781934166561,
        4.877801962118457,
        4.877821990070354,
        4.87784201802225,
        4.877862045974147,
        4.877881597070045,
        4.877901625021941,
        4.877921652973838,
        4.877941680925734,
        4.877961708877631,
        4.87798125997353,
        4.878001287925427,
        4.878021315877323,
        4.87804134382922,
        4.878061371781116,
        4.8780809228770154,
        4.8781009508289115,
        4.878120978780808,
        4.8781410067327045,
        4.878160557828603,
        4.8781805857805,
        4.878200613732396,
        4.878220641684293,
        4.878240669636189,
        4.878260220732089,
        4.878280248683985,
        4.878300276635882,
        4.878320304587778,
        4.878339855683677,
        4.878359883635573,
        4.87837991158747,
        4.878399462683369,
        4.878419490635265,
        4.878439518587162,
        4.878459546539058,
        4.8784790976349575,
        4.8784991255868535,
        4.87851915353875,
        4.8785391814906465,
        4.878558732586546,
        4.878578760538442,
        4.878598788490339,
        4.878618339586238,
        4.878638367538134,
        4.878658395490031,
        4.878677946585929,
        4.878697974537826,
        4.878718002489722,
        4.878737553585622,
        4.878757581537518,
        4.878777609489415,
        4.8787971605853135,
        4.87881718853721,
        4.8788372164891065,
        4.878856767585005,
        4.878876795536902,
        4.878896823488798,
        4.878916374584698,
        4.878936402536594,
        4.878956430488491,
        4.878975981584389,
        4.878996009536285,
        4.879016037488182,
        4.879035588584081,
        4.879055616535978,
        4.879075167631877,
        4.879095195583773,
        4.87911522353567,
        4.879134774631568,
        4.879154802583465,
        4.879174353679364,
        4.879194381631261,
        4.879214409583157,
        4.879233960679056,
        4.8792539886309525,
        4.879273539726851,
        4.879293567678748,
        4.879313595630644,
        4.879333146726544,
        4.87935317467844,
        4.8793727257743384,
        4.879392753726235,
        4.879412304822134,
        4.879432332774031,
        4.87945188386993,
        4.879471911821827,
        4.879491939773723,
        4.879511490869621,
        4.879531518821518,
        4.879551069917417,
        4.879571097869314,
        4.8795906489652126,
        4.879610676917109,
        4.879630228013008,
        4.879650255964904,
        4.879669807060804,
        4.8796898350127,
        4.8797093861085985,
        4.879729414060495,
        4.879748965156394,
        4.879768993108291,
        4.87978854420419,
        4.879808572156087,
        4.879828123251985,
        4.879848151203881,
        4.879867702299781,
        4.879887730251677,
        4.879907281347576,
        4.879927309299473,
        4.879946860395371,
        4.879966888347268,
        4.879986439443167,
        4.880006467395064,
        4.8800260184909625,
        4.8800460464428586,
        4.880065597538758,
        4.880085148634657,
        4.880105176586554,
        4.880124727682452,
        4.8801447556343485,
        4.880164306730248,
        4.880184334682144,
        4.880203885778043,
        4.880223436873942,
        4.880243464825838,
        4.880263015921738,
        4.880283043873634,
        4.880302594969533,
        4.88032262292143,
        4.880342174017328,
        4.880361725113228,
        4.880381753065124,
        4.880401304161023,
        4.880657852687697,
        4.880677403783596,
        4.880697431735492,
        4.880716982831391,
        4.880736533927291,
        4.880756561879187,
        4.880776112975086,
        4.880795664070985,
        4.880815692022881,
        4.8808352431187805,
        4.880854794214679,
        4.880874822166575,
        4.880894373262475,
        4.8809139243583735,
        4.880933475454272,
        4.880953503406169,
        4.880973054502068,
        4.880992605597967,
        4.881012633549863,
        4.881032184645762,
        4.881051735741662,
        4.881071763693558,
        4.881091314789456,
        4.881110865885356,
        4.881130416981255,
        4.8811504449331515,
        4.88116999602905,
        4.881189547124949,
        4.881209098220848,
        4.8812291261727445,
        4.881248677268643,
        4.881268228364543,
        4.8812877794604415,
        4.8813078074123375,
        4.881327358508237,
        4.881346909604136,
        4.881366460700034,
        4.881386488651931,
        4.88140603974783,
        4.881425590843729,
        4.881445141939628,
        4.881464693035527,
        4.881484720987424,
        4.881504272083323,
        4.881523823179221,
        4.88154337427512,
        4.8815629253710195,
        4.881582953322916,
        4.881602504418815,
        4.881622055514714,
        4.8816416066106125,
        4.881661157706512,
        4.881681185658408,
        4.881700736754307,
        4.881720287850206,
        4.881739838946105,
        4.881759390042004,
        4.881778941137903,
        4.881798969089799,
        4.881818520185698,
        4.881838071281598,
        4.881857622377496,
        4.881877173473395,
        4.881896724569295,
        4.881916275665193,
        4.881936303617089,
        4.881955854712989,
        4.881975405808888,
        4.881994956904786,
        4.882014508000686,
        4.8820340590965845,
        4.882053610192483,
        4.882073161288383,
        4.882092712384281,
        4.8821127403361775,
        4.882132291432077,
        4.882151842527976,
        4.882171393623874,
        4.882190944719774,
        4.882210495815673,
        4.882230046911571,
        4.88224959800747,
        4.88226914910337,
        4.882288700199268,
        4.882308251295167,
        4.882327802391067,
        4.882347830342963,
        4.882367381438862,
        4.882386932534761,
        4.8824064836306595,
        4.882426034726558,
        4.882445585822458,
        4.8824651369183565,
        4.882484688014255,
        4.882504239110155,
        4.882523790206053,
        4.882543341301952,
        4.882562892397852,
        4.88258244349375,
        4.882601994589649,
        4.882621545685548,
        4.882641096781447,
        4.882660647877346,
        4.882680198973245,
        4.882699750069144,
        4.882719301165043,
        4.882738852260942,
        4.882758403356841,
        4.88277795445274,
        4.882797505548639,
        4.882817056644538,
        4.882836607740437,
        4.8828561588363355,
        4.882875709932234,
        4.882895261028134,
        4.8829148121240324,
        4.882934363219931,
        4.882953914315831,
        4.882973465411729,
        4.882993016507628,
        4.883012567603528,
        4.883032118699426,
        4.883051669795325,
        4.883071220891225,
        4.883090771987123,
        4.883109846227025,
        4.883129397322923,
        4.883148948418823,
        4.8831684995147215,
        4.88318805061062,
        4.883207601706519,
        4.8832271528024185,
        4.883246703898317,
        4.883266254994216,
        4.883285806090115,
        4.883305357186014,
        4.883324908281913,
        4.883343982521814,
        4.883363533617714,
        4.883383084713612,
        4.883402635809511,
        4.883422186905411,
        4.883441738001309,
        4.883461289097208,
        4.883480840193108,
        4.883499914433009,
        4.883519465528908,
        4.883539016624806,
        4.883558567720706,
        4.8835781188166045,
        4.883597669912503,
        4.883617221008402,
        4.883636295248304,
        4.883655846344203,
        4.8836753974401015,
        4.883694948536,
        4.8837144996319,
        4.883734050727798,
        4.8837531249677,
        4.883772676063598,
        4.883792227159498,
        4.883811778255397,
        4.883831329351295,
        4.883850880447195,
        4.883869954687096,
        4.883889505782995,
        4.883909056878894,
        4.883928607974793,
        4.8839476822146946,
        4.883967233310593,
        4.883986784406492,
        4.8840063355023915,
        4.88402588659829,
        4.8840449608381915,
        4.88406451193409,
        4.884278143420986,
        4.884297694516886,
        4.884317245612785,
        4.884336796708683,
        4.884355870948585,
        4.884375422044484,
        4.884394973140383,
        4.8844145242362815,
        4.884433598476183,
        4.884453149572082,
        4.884472700667981,
        4.8844917749078824,
        4.884511326003781,
        4.884530877099681,
        4.884549951339582,
        4.884569502435481,
        4.884589053531379,
        4.884608127771281,
        4.88462767886718,
        4.884647229963079,
        4.884666781058978,
        4.884685855298879,
        4.884705406394779,
        4.884724957490677,
        4.884744031730579,
        4.884763582826477,
        4.8847826570663795,
        4.884802208162278,
        4.884821759258177,
        4.884840833498078,
        4.884860384593978,
        4.884879935689876,
        4.884899009929778,
        4.8849185610256765,
        4.884938112121576,
        4.884957186361477,
        4.884976737457376,
        4.884995811697277,
        4.885015362793176,
        4.885034913889076,
        4.885053988128977,
        4.885073539224876,
        4.885092613464777,
        4.8851121645606765,
        4.885131715656575,
        4.8851507898964766,
        4.885170340992375,
        4.885189415232277,
        4.885208966328176,
        4.885228517424075,
        4.885247591663976,
        4.885267142759875,
        4.885286216999776,
        4.885305768095676,
        4.885324842335577,
        4.885344393431476,
        4.885363467671377,
        4.885383018767277,
        4.885402569863175,
        4.885421644103077,
        4.885441195198975,
        4.885460269438877,
        4.885479820534776,
        4.885498894774678,
        4.885518445870576,
        4.885537520110478,
        4.885557071206377,
        4.8855761454462785,
        4.885595696542177,
        4.8856147707820785,
        4.885634321877977,
        4.8856533961178785,
        4.885672947213778,
        4.885692021453679,
        4.885711572549578,
        4.885730646789479,
        4.885750197885379,
        4.88576927212528,
        4.885788823221179,
        4.88580789746108,
        4.885827448556979,
        4.88584652279688,
        4.88586607389278,
        4.885885148132681,
        4.88590469922858,
        4.885923773468481,
        4.885943324564381,
        4.885962398804282,
        4.8859814730441835,
        4.886001024140082,
        4.8860200983799835,
        4.886039649475883,
        4.886058723715784,
        4.886078274811683,
        4.886097349051584,
        4.886116423291486,
        4.8861359743873845,
        4.886155048627287,
        4.886174599723185,
        4.886193673963087,
        4.886213225058985,
        4.886232299298887,
        4.886251373538788,
        4.886270924634688,
        4.886289998874589,
        4.886309549970488,
        4.886328624210389,
        4.88634769845029,
        4.88636724954619,
        4.886386323786091,
        4.8864053980259925,
        4.886424949121891,
        4.8864440233617925,
        4.886655747424698,
        4.8866748216646,
        4.886694372760499,
        4.886713447000401,
        4.886732521240302,
        4.886752072336201,
        4.886771146576102,
        4.886790220816003,
        4.886809771911903,
        4.886828846151804,
        4.8868479203917055,
        4.886867471487604,
        4.8868865457275055,
        4.886905619967407,
        4.886924694207308,
        4.886944245303208,
        4.886963319543109,
        4.88698239378301,
        4.887001944878909,
        4.88702101911881,
        4.887040093358713,
        4.887059167598614,
        4.887078718694513,
        4.887097792934414,
        4.887116867174315,
        4.887135941414217,
        4.887155492510116,
        4.8871745667500175,
        4.887193640989919,
        4.88721271522982,
        4.887232266325719,
        4.88725134056562,
        4.8872704148055215,
        4.887289489045423,
        4.887309040141322,
        4.887328114381224,
        4.887347188621125,
        4.887366262861026,
        4.887385337100928,
        4.887404888196826,
        4.887423962436729,
        4.88744303667663,
        4.887462110916531,
        4.887481185156433,
        4.887500736252331,
        4.887519810492233,
        4.887538884732134,
        4.887557958972036,
        4.8875770332119375,
        4.887596107451839,
        4.8876156585477375,
        4.887634732787639,
        4.88765380702754,
        4.8876728812674415,
        4.887691955507343,
        4.887711029747245,
        4.887902725858254,
        4.887921800098155,
        4.887940874338057,
        4.887959948577958,
        4.887979022817859,
        4.887998097057761,
        4.88801764815366,
        4.8880367223935615,
        4.888055796633463,
        4.888074870873364,
        4.8880939451132654,
        4.888113019353167,
        4.888132093593068,
        4.88815116783297,
        4.888170242072872,
        4.888189316312773,
        4.888208390552674,
        4.888227464792576,
        4.888247015888474,
        4.888266090128376,
        4.888285164368277,
        4.888304238608179,
        4.8883233128480805,
        4.888342387087982,
        4.888361461327883,
        4.8883805355677845,
        4.888399609807686,
        4.888418684047587,
        4.8884377582874885,
        4.88845683252739,
        4.888475906767291,
        4.888494981007193,
        4.888514055247095,
        4.888533129486996,
        4.888552203726897,
        4.888571277966799,
        4.8885903522067,
        4.888609426446601,
        4.888628500686503,
        4.888647574926404,
        4.888666649166305,
        4.8886857234062076,
        4.888704797646109,
        4.88872387188601,
        4.8887429461259115,
        4.888762020365813,
        4.888781094605714,
        4.8888001688456155,
        4.888819243085517,
        4.888838317325418,
        4.88885739156532,
        4.888876465805222,
        4.888895540045123,
        4.888914614285024,
        4.888933688524926,
        4.888952762764827,
        4.888971837004728,
        4.88899091124463,
        4.889009985484531,
        4.889028582868435,
        4.889047657108336,
        4.889066731348238,
        4.88908580558814,
        4.889104879828041,
        4.8891239540679425,
        4.889143028307844,
        4.889162102547745,
        4.8891811767876465,
        4.889200251027548,
        4.889219325267449,
        4.889237922651353,
        4.8892569968912545,
        4.889276071131156,
        4.889295145371057,
        4.889314219610959,
        4.889333293850861,
        4.889352368090762,
        4.889371442330663,
        4.889390516570565,
        4.889409113954469,
        4.88942818819437,
        4.889447262434271,
        4.889466336674173,
        4.889485410914074,
        4.889504485153975,
        4.8895235593938775,
        4.889542156777781,
        4.889561231017683,
        4.889580305257584,
        4.8895993794974855,
        4.889618453737387,
        4.889637527977288,
        4.889656125361192,
        4.889675199601093,
        4.889694273840995,
        4.889713348080896,
        4.889732422320797,
        4.889751496560699,
        4.889770093944603,
        4.889789168184504,
        4.889808242424405,
        4.889827316664308,
        4.889846390904209,
        4.889864988288113,
        4.889884062528014,
        4.8899031367679155,
        4.889922211007817,
        4.889940808391721,
        4.889959882631622,
        4.8899789568715235,
        4.889998031111425,
        4.890017105351326,
        4.89003570273523,
        4.8900547769751315,
        4.890073851215033,
        4.890092925454934,
        4.890111522838838,
        4.890130597078739,
        4.890149671318641,
        4.890168745558543,
        4.890187342942446,
        4.890206417182348,
        4.89022549142225,
        4.890244088806154,
        4.890263163046055,
        4.890282237285956,
        4.890301311525858,
        4.8903199089097615,
        4.890338983149663,
        4.890358057389564,
        4.8903771316294655,
        4.8903957290133695,
        4.890414803253271,
        4.890433877493172,
        4.890452474877076,
        4.8904715491169775,
        4.890490623356879,
        4.890509220740783,
        4.890528294980684,
        4.890547369220585,
        4.890565966604489,
        4.890585040844391,
        4.890604115084293,
        4.890622712468196,
        4.890641786708098,
        4.890660860948,
        4.8906794583319035,
        4.890698532571805,
        4.890717606811706,
        4.89073620419561,
        4.8907552784355115,
        4.890774352675413,
        4.890792950059317,
        4.890812024299218,
        4.890830621683122,
        4.890849695923023,
        4.890868770162925,
        4.890887367546829,
        4.89090644178673,
        4.890925516026631,
        4.890944113410535,
        4.890963187650437,
        4.890981785034341,
        4.891000859274242,
        4.891019933514143,
        4.891038530898047,
        4.891057605137949,
        4.891076202521853,
        4.891095276761754,
        4.891114351001655,
        4.891132948385559,
        4.891152022625461,
        4.8911706200093645,
        4.891189694249266,
        4.89120829163317,
        4.891227365873071,
        4.8912464401129725,
        4.8912650374968765,
        4.891284111736778,
        4.891302709120682,
        4.891321783360583,
        4.891340380744487,
        4.891359454984388,
        4.891378052368292,
        4.891547813103415,
        4.891566887343317,
        4.89158548472722,
        4.891604558967122,
        4.8916231563510255,
        4.891642230590928,
        4.891660827974831,
        4.891679902214733,
        4.891698499598636,
        4.89171709698254,
        4.891736171222441,
        4.891754768606345,
        4.891773842846247,
        4.891792440230151,
        4.891811514470052,
        4.891830111853956,
        4.891849186093857,
        4.891867783477761,
        4.891886857717663,
        4.891905455101567,
        4.891924529341468,
        4.891943126725372,
        4.891961724109276,
        4.891980798349177,
        4.891999395733081,
        4.8920184699729825,
        4.8920370673568865,
        4.892056141596788,
        4.892074738980692,
        4.892093336364596,
        4.892112410604497,
        4.892131007988401,
        4.892150082228302,
        4.892168679612206,
        4.89218727699611,
        4.892206351236012,
        4.892224948619916,
        4.892244022859817,
        4.892262620243721,
        4.892281217627625,
        4.892300291867526,
        4.8930499094956525,
        4.893068983735554,
        4.893087581119458,
        4.893106178503361,
        4.893124775887265,
        4.893143850127166,
        4.89316244751107,
        4.893181044894974,
        4.893199642278878,
        4.8932187165187795,
        4.8932373139026835,
        4.893255911286587,
        4.893274508670491,
        4.893293106054395,
        4.893312180294297,
        4.893330777678201,
        4.893349375062105,
        4.893367972446009,
        4.893386569829913,
        4.893405644069814,
        4.893424241453718,
        4.893442838837621,
        4.893461436221525,
        4.893480033605429,
        4.89349910784533,
        4.893517705229234,
        4.893536302613138,
        4.893554899997042,
        4.893573497380946,
        4.89359209476485,
        4.8936111690047515,
        4.893629766388655,
        4.893648363772559,
        4.893666961156463,
        4.893685558540367,
        4.89370415592427,
        4.893723230164173,
        4.893741827548076,
        4.89376042493198,
        4.893779022315884,
        4.893797619699788,
        4.893816217083692,
        4.893834814467596,
        4.8938534118515,
        4.893872486091401,
        4.893891083475305,
        4.893909680859209,
        4.893928278243113,
        4.893946875627017,
        4.89396547301092,
        4.893984070394824,
        4.894002667778728,
        4.894021265162632,
        4.894039862546536,
        4.894058936786437,
        4.894077534170341,
        4.894096131554245,
        4.894114728938149,
        4.894133326322053,
        4.894151923705957,
        4.894170521089861,
        4.894189118473764,
        4.894207715857668,
        4.894226313241572,
        4.894244910625476,
        4.89426350800938,
        4.894282105393284,
        4.894300702777188,
        4.894319300161092,
        4.894337897544996,
        4.8943564949289,
        4.894375092312803,
        4.894394166552705,
        4.894412763936608,
        4.894431361320512,
        4.894449958704416,
        4.89446855608832,
        4.894487153472224,
        4.894505750856128,
        4.894524348240032,
        4.894542945623936,
        4.89456154300784,
        4.894580140391744,
        4.894598737775647,
        4.894617335159551,
        4.894635932543455,
        4.894654529927359,
        4.894673127311263,
        4.894691724695167,
        4.894710322079071,
        4.8947284426069775,
        4.894747039990881,
        4.8947656373747845,
        4.8947842347586885,
        4.8948028321425925,
        4.8948214295264965,
        4.8948400269104,
        4.894858624294304,
        4.894877221678208,
        4.894895819062112,
        4.894914416446016,
        4.894933013829919,
        4.894951611213823,
        4.894970208597727,
        4.894988805981631,
        4.895007403365535,
        4.895155705580769,
        4.895174302964673,
        4.895192900348577,
        4.895211497732481,
        4.895230095116385,
        4.8952482156442905,
        4.895266813028194,
        4.895285410412098,
        4.895304007796002,
        4.895322605179906,
        4.89534120256381,
        4.895359799947714,
        4.895378397331618,
        4.895396517859524,
        4.895415115243428,
        4.895433712627332,
        4.895452310011236,
        4.89547090739514,
        4.895489504779044,
        4.895508102162948,
        4.895526222690854,
        4.8955448200747576,
        4.8955634174586615,
        4.8955820148425655,
        4.8956006122264695,
        4.895618732754376,
        4.89563733013828,
        4.895655927522184,
        4.895674524906087,
        4.895693122289991,
        4.895711719673895,
        4.895729840201802,
        4.895748437585706,
        4.89576703496961,
        4.895785632353514,
        4.895804229737418,
        4.895822350265323,
        4.895840947649227,
        4.895859545033131,
        4.895878142417035,
        4.895896262944942,
        4.895914860328846,
        4.895933457712749,
        4.895952055096653,
        4.895970652480557,
        4.8959887730084635,
        4.896007370392367,
        4.896025967776271,
        4.896044565160175,
        4.896062685688081,
        4.896081283071985,
        4.896099880455889,
        4.896118477839793,
        4.8961365983677,
        4.896155195751604,
        4.896173793135508,
        4.896191913663413,
        4.896210511047317,
        4.896229108431221,
        4.896247705815125,
        4.896265826343032,
        4.896284423726936,
        4.896303021110839,
        4.8963211416387455,
        4.8963397390226495,
        4.8963583364065535,
        4.8963769337904575,
        4.896395054318364,
        4.896413651702267,
        4.896432249086171,
        4.896450369614078,
        4.896468966997982,
        4.896487564381886,
        4.896505684909792,
        4.896524282293695,
        4.896542879677599,
        4.896561000205506,
        4.89657959758941,
        4.896598194973314,
        4.896616315501221,
        4.896634912885124,
        4.896653510269028,
        4.896671630796934,
        4.896690228180838,
        4.896708825564742,
        4.896726946092649,
        4.896745543476552,
        4.8967636640044585,
        4.8967822613883625,
        4.8968008587722665,
        4.896818979300173,
        4.896837576684077,
        4.89685617406798,
        4.896874294595887,
        4.896892891979791,
        4.896911012507697,
        4.896929609891601,
        4.896948207275505,
        4.896966327803411,
        4.896984925187315,
        4.897003045715222,
        4.897021643099126,
        4.897039763627031,
        4.897058361010935,
        4.897076958394839,
        4.897095078922746,
        4.89711367630665,
        4.8971317968345565,
        4.8971503942184595,
        4.899788123168827,
        4.902756790181485,
        4.902778725557371,
        4.902800660933258,
        4.902822596309145,
        4.902844531685031,
        4.902866467060918,
        4.902887925580807,
        4.902909860956694,
        4.90293179633258,
        4.902953731708467,
        4.902975667084354,
        4.90299760246024,
        4.903019060980129,
        4.903040996356016,
        4.9030629317319026,
        4.903084867107789,
        4.903106802483676,
        4.903128261003565,
        4.9031501963794515,
        4.903172131755338,
        4.903194067131225,
        4.903215525651114,
        4.903237461027,
        4.903259396402888,
        4.903281331778774,
        4.90330326715466,
        4.903324725674549,
        4.903346661050437,
        4.903368596426323,
        4.903390531802209,
        4.903411990322098,
        4.9034339256979855,
        4.903455861073872,
        4.903477796449758,
        4.903499254969647,
        4.9035211903455345,
        4.903543125721421,
        4.90356458424131,
        4.903586519617197,
        4.903608454993083,
        4.90363039036897,
        4.903651848888859,
        4.903673784264746,
        4.903695719640632,
        4.903717178160521,
        4.903739113536408,
        4.903761048912295,
        4.903782507432184,
        4.90380444280807,
        4.903826378183957,
        4.9038478367038465,
        4.903869772079733,
        4.903891707455619,
        4.903913165975508,
        4.903935101351395,
        4.903957036727282,
        4.903978495247171,
        4.904000430623057,
        4.904022365998944,
        4.904043824518833,
        4.90406575989472,
        4.904087695270606,
        4.904109153790496,
        4.904131089166382,
        4.904152547686271,
        4.904174483062158,
        4.904196418438045,
        4.904217876957934,
        4.90423981233382,
        4.904261270853709,
        4.904283206229596,
        4.904305141605483,
        4.904326600125372,
        4.904348535501258,
        4.904369994021147,
        4.904391929397034,
        4.904413864772921,
        4.90443532329281,
        4.904457258668696,
        4.904478717188586,
        4.904500652564472,
        4.904522111084361,
        4.904544046460248,
        4.904565981836135,
        4.904587440356024,
        4.90460937573191,
        4.904630834251799,
        4.904652769627686,
        4.9046742281475755,
        4.904696163523462,
        4.904717622043351,
        4.904739557419237,
        4.904761015939126,
        4.904782951315013,
        4.904804409834902,
        4.904826345210789,
        4.904847803730678,
        4.904869739106565,
        4.904891197626454,
        4.90491313300234,
        4.904934591522229,
        4.904956526898117,
        4.904977985418006,
        4.904999920793892,
        4.905021379313781,
        4.905043314689667,
        4.905064773209556,
        4.9050867085854435,
        4.9051081671053325,
        4.905130102481219,
        4.905151561001108,
        4.905173019520997,
        4.905194954896884,
        4.905216413416773,
        4.905238348792659,
        4.905259807312548,
        4.905281742688436,
        4.905303201208325,
        4.905325136584211,
        4.9053465951041,
        4.905368053623989,
        4.905389988999876,
        4.905411447519765,
        4.905433382895652,
        4.905454841415541,
        4.9054762999354296,
        4.905498235311317,
        4.905519693831206,
        4.905541629207092,
        4.905563087726981,
        4.90558454624687,
        4.905606481622757,
        4.905627940142646,
        4.905649398662535,
        4.905671334038422,
        4.905692792558311,
        4.905714727934198,
        4.905736186454087,
        4.905757644973976,
        4.905779580349862,
        4.905801038869751,
        4.90582249738964,
        4.9058444327655275,
        4.9058658912854165,
        4.9058873498053055,
        4.905909285181192,
        4.905930743701081,
        4.90595220222097,
        4.905974137596857,
        4.905995596116746,
        4.906017054636635,
        4.906038990012521,
        4.90606044853241,
        4.9060819070523,
        4.906103365572189,
        4.906125300948076,
        4.906146759467965,
        4.906168217987854,
        4.906190153363741,
        4.90621161188363,
        4.906233070403519,
        4.906254528923408,
        4.906276464299294,
        4.906297922819183,
        4.906319381339072,
        4.906340839858962,
        4.906362775234848,
        4.906384233754737,
        4.906405692274626,
        4.906427150794515,
        4.906449086170403,
        4.906470544690292,
        4.906492003210181,
        4.90651346173007,
        4.906535397105956,
        4.906556855625845,
        4.906578314145734,
        4.906599772665624,
        4.906621231185513,
        4.906643166561399,
        4.906664625081288,
        4.906686083601177,
        4.906707542121066,
        4.906729000640955,
        4.906750936016842,
        4.906772394536731,
        4.90679385305662,
        4.906815311576509,
        4.906836770096398,
        4.906858228616287,
        4.906880163992175,
        4.906901622512064,
        4.906923081031953,
        4.906944539551842,
        4.906965998071731,
        4.90698745659162,
        4.907009391967507,
        4.907030850487396,
        4.907052309007285,
        4.907073767527174,
        4.907095226047063,
        4.907116684566952,
        4.907138143086841,
        4.90715960160673,
        4.907181536982617,
        4.907202995502506,
        4.907224454022395,
        4.907245912542284,
        4.907267371062173,
        4.907288829582062,
        4.907310288101951,
        4.907331746621841,
        4.90735320514173,
        4.907374663661619,
        4.907396599037505,
        4.907418057557394,
        4.907439516077283,
        4.907460974597172,
        4.907482433117062,
        4.907503891636951,
        4.90752535015684,
        4.907546808676729,
        4.907568267196618,
        4.907589725716507,
        4.907611184236396,
        4.907632642756285,
        4.907654101276174,
        4.907675559796064,
        4.907697018315953,
        4.907718476835842,
        4.907739935355731,
        4.90776139387562,
        4.907782852395509,
        4.907804310915398,
        4.907825769435287,
        4.907847227955176,
        4.907868686475066,
        4.907890144994955,
        4.907911603514844,
        4.907933062034733,
        4.907954520554622,
        4.907975979074511,
        4.9079974375944,
        4.908018896114289,
        4.9082763983529585,
        4.9082978568728475,
        4.908318838536739,
        4.908340297056628,
        4.908361755576517,
        4.908383214096406,
        4.908404672616295,
        4.908426131136184,
        4.908447589656074,
        4.908469048175963,
        4.908490506695852,
        4.908511965215741,
        4.90853342373563,
        4.908554405399522,
        4.908575863919411,
        4.9085973224393,
        4.908618780959189,
        4.908640239479078,
        4.908661697998967,
        4.9086831565188564,
        4.9087046150387454,
        4.908725596702637,
        4.908747055222526,
        4.908768513742415,
        4.908789972262304,
        4.908811430782193,
        4.908832889302082,
        4.908853870965974,
        4.908875329485863,
        4.908896788005752,
        4.908918246525641,
        4.908939705045531,
        4.90896116356542,
        4.908982145229311,
        4.9090036037492,
        4.909025062269089,
        4.909046520788978,
        4.909067979308867,
        4.909088960972759,
        4.909110419492648,
        4.909131878012537,
        4.909153336532426,
        4.909174795052315,
        4.909195776716206,
        4.909217235236095,
        4.909238693755985,
        4.909260152275874,
        4.909281133939766,
        4.909302592459655,
        4.909324050979544,
        4.909345509499433,
        4.909366491163325,
        4.909387949683214,
        4.909409408203103,
        4.909430866722992,
        4.909451848386883,
        4.909473306906772,
        4.909494765426661,
        4.90951622394655,
        4.909537205610442,
        4.909558664130332,
        4.909580122650221,
        4.909601104314112,
        4.909622562834001,
        4.90964402135389,
        4.909665479873779,
        4.909686461537671,
        4.90970792005756,
        4.909729378577449,
        4.909750360241341,
        4.90977181876123,
        4.909793277281119,
        4.90981425894501,
        4.909835717464899,
        4.909857175984788,
        4.90987815764868,
        4.909899616168569,
        4.909921074688458,
        4.9099420563523495,
        4.909963514872239,
        4.909984973392128,
        4.91000595505602,
        4.910027413575909,
        4.910048395239801,
        4.91006985375969,
        4.910091312279579,
        4.91011229394347,
        4.910133752463359,
        4.910155210983248,
        4.91017619264714,
        4.910197651167029,
        4.9102186328309205,
        4.9102400913508095,
        4.9102615498706985,
        4.91028253153459,
        4.910303990054479,
        4.910324971718371,
        4.91034643023826,
        4.910367888758149,
        4.91038887042204,
        4.910410328941929,
        4.910431310605821,
        4.91045276912571,
        4.910473750789602,
        4.910495209309491,
        4.91051666782938,
        4.910537649493271,
        4.910559108013161,
        4.910580089677052,
        4.910601548196942,
        4.910622529860833,
        4.9106439883807225,
        4.910664970044613,
        4.910686428564503,
        4.910707410228395,
        4.910728868748284,
        4.910749850412175,
        4.910771308932064,
        4.910792290595956,
        4.910813749115845,
        4.910834730779737,
        4.910856189299626,
        4.910877170963517,
        4.910898629483406,
        4.910919611147298,
        4.910941069667187,
        4.9109620513310785,
        4.9109835098509675,
        4.911004491514859,
        4.911025950034748,
        4.91104693169864,
        4.911068390218529,
        4.9110893718824205,
        4.9111108304023094,
        4.911131812066201,
        4.91115327058609,
        4.911174252249982,
        4.911195233913873,
        4.911216692433762,
        4.911237674097654,
        4.911259132617543,
        4.911280114281435,
        4.911301572801324,
        4.911322554465215,
        4.911343536129107,
        4.911364994648996,
        4.9113859763128875,
        4.9114074348327765,
        4.911428416496668,
        4.91144939816056,
        4.911470856680449,
        4.91149183834434,
        4.911513296864229,
        4.911534278528121,
        4.911555260192013,
        4.911576718711902,
        4.911597700375793,
        4.911619158895682,
        4.911640140559574,
        4.911661122223466,
        4.911682580743355,
        4.911703562407246,
        4.911724544071138,
        4.911746002591027,
        4.9117669842549185,
        4.91178796591881,
        4.911809424438699,
        4.911830406102591,
        4.911851387766482,
        4.911872846286371,
        4.911893827950263,
        4.911914809614154,
        4.911936268134044,
        4.9119572497979345,
        4.911978231461826,
        4.911999689981715,
        4.912020671645607,
        4.912041653309498,
        4.912063111829387,
        4.912084093493279,
        4.912105075157171,
        4.912126056821062,
        4.912147515340951,
        4.912168497004843,
        4.912189478668735,
        4.912210937188624,
        4.912231918852515,
        4.912252900516407,
        4.9122738821802985,
        4.9122953407001875,
        4.912316322364079,
        4.912337304027971,
        4.912358285691862,
        4.912379744211751,
        4.912400725875643,
        4.912421707539535,
        4.912442689203426,
        4.912464147723315,
        4.912485129387207,
        4.912506111051099,
        4.91252709271499,
        4.912548074378881,
        4.912569532898771,
        4.912590514562662,
        4.912611496226553,
        4.912632477890445,
        4.9126534595543365,
        4.9126749180742255,
        4.912695899738117,
        4.912716881402009,
        4.9127378630659,
        4.912758844729792,
        4.912780303249681,
        4.912801284913573,
        4.912822266577464,
        4.912843248241356,
        4.912864229905248,
        4.912885211569139,
        4.912906670089028,
        4.91292765175292,
        4.9129486334168115,
        4.912969615080703,
        4.912990596744594,
        4.913011578408486,
        4.913032560072377,
        4.913053541736269,
        4.913075000256158,
        4.9130959819200495,
        4.913116963583941,
        4.913137945247833,
        4.913158926911724,
        4.913179908575616,
        4.913200890239508,
        4.913221871903399,
        4.913243330423288,
        4.91326431208718,
        4.913285293751072,
        4.913306275414963,
        4.913327257078854,
        4.913348238742746,
        4.913369220406637,
        4.913390202070529,
        4.9134111837344205,
        4.913432165398312,
        4.913453147062204,
        4.9134741287260955,
        4.913495110389987,
        4.913516092053879,
        4.913537550573768,
        4.913558532237659,
        4.913579513901551,
        4.913600495565443,
        4.913621477229333,
        4.913642458893225,
        4.913663440557117,
        4.913684422221008,
        4.9137054038849,
        4.913726385548792,
        4.913747367212683,
        4.913768348876575,
        4.9137893305404665,
        4.913810312204358,
        4.91383129386825,
        4.9138522755321405,
        4.913873257196032,
        4.913894238859924,
        4.9139152205238155,
        4.913936202187707,
        4.913957183851599,
        4.91397816551549,
        4.913999147179382,
        4.914020128843274,
        4.914041110507165,
        4.914062092171057,
        4.914083073834949,
        4.914104055498839,
        4.914124560306734,
        4.914145541970625,
        4.914166523634517,
        4.9141875052984085,
        4.9142084869623,
        4.914229468626192,
        4.9142504502900834,
        4.914271431953975,
        4.914292413617866,
        4.9143133952817575,
        4.914334376945649,
        4.914355358609541,
        4.914376340273432,
        4.914397321937324,
        4.914417826745218,
        4.91443880840911,
        4.914459790073002,
        4.914480771736892,
        4.914501753400784,
        4.914522735064676,
        4.914543716728567,
        4.914564698392459,
        4.914585203200353,
        4.914606184864245,
        4.9146271665281365,
        4.914648148192028,
        4.914669129855919,
        4.9146901115198105,
        4.914711093183702,
        4.914731597991596,
        4.914752579655488,
        4.91477356131938,
        4.914794542983271,
        4.914815524647163,
        4.914836506311055,
        4.914857487974945,
        4.91487799278284,
        4.914898974446731,
        4.914919956110623,
        4.914940937774515,
        4.914961919438406,
        4.9149824242463005,
        4.915003405910191,
        4.915024387574083,
        4.9150453692379745,
        4.915066350901866,
        4.9150868557097604,
        4.915107837373652,
        4.915128819037544,
        4.915149800701435,
        4.915170782365327,
        4.91519128717322,
        4.915212268837112,
        4.915233250501004,
        4.915254232164895,
        4.91527473697279,
        4.915295718636681,
        4.915316700300573,
        4.915337681964464,
        4.915358186772358,
        4.91537916843625,
        4.915400150100141,
        4.915421131764033,
        4.915441636571927,
        4.915462618235819,
        4.9154835998997095,
        4.915504104707604,
        4.915525086371495,
        4.915546068035387,
        4.915567049699279,
        4.915587554507173,
        4.915608536171065,
        4.915629517834955,
        4.91565002264285,
        4.915671004306741,
        4.915691985970633,
        4.915712490778527,
        4.915733472442419,
        4.9157544541063105,
        4.915774958914204,
        4.9157959405780955,
        4.915816922241987,
        4.9158374270498815,
        4.915858408713773,
        4.915879390377665,
        4.915899895185558,
        4.91592087684945,
        4.915941858513341,
        4.915962363321236,
        4.915983344985127,
        4.916004326649019,
        4.916024831456912,
        4.916045813120804,
        4.916066317928698,
        4.91608729959259,
        4.916108281256482,
        4.916128786064376,
        4.916149767728267,
        4.916170749392158,
        4.9161912542000525,
        4.916212235863944,
        4.9162327406718385,
        4.91625372233573,
        4.916274703999622,
        4.916295208807515,
        4.916316190471407,
        4.916336695279301,
        4.916357676943193,
        4.916378181751086,
        4.916399163414978,
        4.916420145078869,
        4.916440649886764,
        4.916461631550655,
        4.91648213635855,
        4.916503118022441,
        4.916523622830335,
        4.916544604494226,
        4.9165651093021205,
        4.916586090966012,
        4.9166065957739065,
        4.916627577437797,
        4.916648559101689,
        4.916669063909583,
        4.916690045573475,
        4.916710550381369,
        4.916731532045261,
        4.916752036853154,
        4.916773018517046,
        4.91679352332494,
        4.916814504988832,
        4.916835009796726,
        4.916855991460617,
        4.916876496268511,
        4.916897477932403,
        4.916917982740297,
        4.9169389644041885,
        4.916959469212082,
        4.916979974019976,
        4.917000955683868,
        4.917021460491762,
        4.917042442155654,
        4.917062946963547,
        4.917083928627439,
        4.917104433435333,
        4.917125415099225,
        4.917145919907119,
        4.917166901571011,
        4.917187406378904,
        4.917207911186798,
        4.91722889285069,
        4.917249397658584,
        4.917270379322475,
        4.917290884130369,
        4.917311865794261,
        4.917332370602155,
        4.9173528754100495,
        4.91737385707394,
        4.9173943618818345,
        4.917415343545726,
        4.9174358483536205,
        4.917456353161514,
        4.9174773348254055,
        4.9174978396333,
        4.917518344441194,
        4.917539326105086,
        4.917559830912979,
        4.917580812576871,
        4.917601317384765,
        4.917621822192659,
        4.917642803856551,
        4.917663308664444,
        4.917683813472339,
        4.91770479513623,
        4.9177252999441246,
        4.917745804752018,
        4.91776678641591,
        4.917787291223804,
        4.917807796031698,
        4.91782877769559,
        4.917849282503483,
        4.9178697873113775,
        4.917890768975269,
        4.917911273783163,
        4.917931778591057,
        4.917952760254948,
        4.917973265062843,
        4.917993769870737,
        4.918014751534629,
        4.918035256342522,
        4.918055761150416,
        4.918076265958311,
        4.918097247622202,
        4.918117752430096,
        4.91813825723799,
        4.918159238901882,
        4.918179743709776,
        4.91820024851767,
        4.9182207533255635,
        4.918241734989455,
        4.9182622397973494,
        4.918282744605244,
        4.918303249413137,
        4.918324231077029,
        4.918344735884923,
        4.918365240692817,
        4.918385745500711,
        4.918406727164602,
        4.918427231972497,
        4.918447736780391,
        4.918468241588284,
        4.918488746396179,
        4.91850972806007,
        4.9185302328679645,
        4.918550737675858,
        4.918571242483752,
        4.9185917472916465,
        4.918612728955538,
        4.9186332337634315,
        4.918653738571326,
        4.91867424337922,
        4.918694748187114,
        4.918715729851005,
        4.918736234658899,
        4.918756739466794,
        4.918777244274688,
        4.918797749082581,
        4.918818253890476,
        4.918839235554367,
        4.918859740362262,
        4.918880245170155,
        4.918900749978049,
        4.9189212547859436,
        4.918941759593838,
        4.918962264401731,
        4.918983246065623,
        4.919003750873517,
        4.919024255681411,
        4.919044760489305,
        4.919065265297199,
        4.919085770105093,
        4.919106274912987,
        4.919126779720881,
        4.919147284528775,
        4.919168266192667,
        4.91918877100056,
        4.919209275808455,
        4.919229780616349,
        4.919250285424243,
        4.919270790232137,
        4.919291295040031,
        4.919311799847925,
        4.919332304655819,
        4.919352809463713,
        4.919373314271607,
        4.9193938190795015,
        4.919414800743392,
        4.9194353055512865,
        4.919455810359181,
        4.919476315167075,
        4.9194968199749685,
        4.919517324782863,
        4.919537829590757,
        4.91955833439865,
        4.919578839206545,
        4.919599344014439,
        4.919619848822333,
        4.919640353630227,
        4.919660858438121,
        4.919681363246015,
        4.919701868053909,
        4.919722372861803,
        4.919742877669697,
        4.9197633824775915,
        4.919783887285485,
        4.919804392093379,
        4.9198248969012734,
        4.919845401709167,
        4.919865906517061,
        4.919886411324955,
        4.91990691613285,
        4.919927420940743,
        4.919947925748637,
        4.919968430556532,
        4.919988935364425,
        4.920009440172319,
        4.920029944980214,
        4.920050449788107,
        4.920070954596001,
        4.920091459403896,
        4.920111487355792,
        4.920131992163686,
        4.92015249697158,
        4.9201730017794745,
        4.920193506587368,
        4.920214011395262,
        4.920234516203156,
        4.92025502101105,
        4.920275525818944,
        4.920296030626838,
        4.920316535434733,
        4.920337040242626,
        4.92035754505052,
        4.920377573002416,
        4.920398077810311,
        4.920418582618205,
        4.920439087426099,
        4.920459592233993,
        4.920480097041887,
        4.920500601849781,
        4.920521106657675,
        4.9205411346095715,
        4.920561639417466,
        4.920582144225359,
        4.9206026490332535,
        4.920623153841148,
        4.920643658649041,
        4.9206641634569355,
        4.920684191408832,
        4.920704696216726,
        4.92072520102462,
        4.920745705832514,
        4.920766210640409,
        4.920786715448302,
        4.920806743400199,
        4.920827248208092,
        4.920847753015987,
        4.920868257823881,
        4.920888762631775,
        4.920909267439669,
        4.9209292953915655,
        4.92094980019946,
        4.920970305007353,
        4.9209908098152475,
        4.9210108377671435,
        4.921031342575038,
        4.921051847382932,
        4.921072352190826,
        4.92109285699872,
        4.921112884950617,
        4.921133389758511,
        4.921153894566404,
        4.921174399374299,
        4.921194427326195,
        4.921214932134089,
        4.921235436941983,
        4.921255941749878,
        4.921275969701774,
        4.921296474509668,
        4.921316979317562,
        4.921337484125456,
        4.9213575120773525,
        4.921378016885246,
        4.92139852169314,
        4.9214190265010345,
        4.9214390544529305,
        4.921459559260825,
        4.921480064068719,
        4.921500092020615,
        4.921520596828509,
        4.921541101636404,
        4.921561606444297,
        4.921581634396194,
        4.921602139204088,
        4.921622644011982,
        4.921642671963879,
        4.921663176771773,
        4.921683681579666,
        4.921703709531563,
        4.9217242143394575,
        4.921744719147351,
        4.921764747099248,
        4.921785251907141,
        4.9218057567150355,
        4.921825784666932,
        4.921846289474826,
        4.92186679428272,
        4.921886822234617,
        4.92190732704251,
        4.921927354994407,
        4.921947859802302,
        4.921968364610195,
        4.921988392562092,
        4.922008897369985,
        4.92202940217788,
        4.922049430129777,
        4.92206993493767,
        4.922089962889567,
        4.922110467697461,
        4.922130972505355,
        4.9221510004572515,
        4.922171505265146,
        4.922191533217042,
        4.922212038024936,
        4.9222325428328295,
        4.9222525707847264,
        4.922273075592621,
        4.922293103544517,
        4.922313608352411,
        4.922333636304307,
        4.922354141112201,
        4.922374645920096,
        4.922394673871992,
        4.922415178679886,
        4.922435206631783,
        4.922455711439676,
        4.922475739391573,
        4.922496244199467,
        4.922516272151364,
        4.922536776959258,
        4.922556804911154,
        4.922577309719048,
        4.9225978145269425,
        4.9226178424788385,
        4.922638347286733,
        4.922658375238629,
        4.922678880046523,
        4.92269890799842,
        4.922719412806313,
        4.92273944075821,
        4.922759945566104,
        4.922779973518001,
        4.922800478325895,
        4.922820506277791,
        4.922841011085685,
        4.922861039037581,
        4.922881066989478,
        4.9229015717973725,
        4.922921599749269,
        4.922942104557163,
        4.922962132509059,
        4.922982637316953,
        4.92300266526885,
        4.9230231700767435,
        4.92304319802864,
        4.923063702836535,
        4.923083730788431,
        4.923103758740328,
        4.923124263548221,
        4.923144291500118,
        4.923164796308011,
        4.923184824259908,
        4.923205329067803,
        4.923225357019699,
        4.923245384971596,
        4.923265889779489,
        4.923285917731386,
        4.92330642253928,
        4.923326450491176,
        4.923346478443073,
        4.9233669832509666,
        4.9233870112028635,
        4.923407516010758,
        4.923427543962654,
        4.923447571914551,
        4.923468076722444,
        4.923488104674341,
        4.923508132626237,
        4.923528637434131,
        4.923548665386028,
        4.923569170193922,
        4.923589198145819,
        4.923609226097715,
        4.923629730905609,
        4.923649758857505,
        4.923669786809402,
        4.923690291617296,
        4.923710319569192,
        4.923730347521089,
        4.923750852328983,
        4.9237708802808795,
        4.9237909082327755,
        4.92381141304067,
        4.923831440992567,
        4.923851468944463,
        4.92387149689636,
        4.923892001704253,
        4.92391202965615,
        4.923932057608046,
        4.92395256241594,
        4.923972590367837,
        4.923992618319733,
        4.924013123127628,
        4.924033151079524,
        4.924053179031421,
        4.924073206983317,
        4.924093711791211,
        4.924113739743108,
        4.924133767695004,
        4.924153795646901,
        4.924174300454794,
        4.924194328406691,
        4.924214356358587,
        4.924234384310484,
        4.924254889118378,
        4.924274917070274,
        4.924294945022171,
        4.924314972974067,
        4.924335477781962,
        4.924355505733858,
        4.924375533685755,
        4.924395561637651,
        4.924415589589548,
        4.924436094397442,
        4.924456122349338,
        4.924476150301235,
        4.924496178253131,
        4.924516206205028,
        4.924536711012921,
        4.924556738964818,
        4.924576766916714,
        4.924596794868611,
        4.924616822820507,
        4.9246373276284015,
        4.924657355580298,
        4.924677383532194,
        4.924697411484091,
        4.924717439435987,
        4.924737467387884,
        4.924757972195778,
        4.924778000147675,
        4.924798028099571,
        4.924818056051468,
        4.924838084003364,
        4.924858111955261,
        4.924878139907157,
        4.924898644715051,
        4.924918672666948,
        4.924938700618844,
        4.924958728570741,
        4.924978756522637,
        4.924998784474534,
        4.92501881242643,
        4.925038840378327,
        4.92505934518622,
        4.925079373138117,
        4.925099401090013,
        4.92511942904191,
        4.925139456993806,
        4.925159484945703,
        4.925179512897599,
        4.925199540849496,
        4.925219568801392,
        4.925239596753289,
        4.925259624705185,
        4.925279652657082,
        4.925300157464976,
        4.925320185416872,
        4.925340213368769,
        4.925360241320665,
        4.925380269272562,
        4.925400297224458,
        4.925420325176355,
        4.925440353128251,
        4.925460381080148,
        4.925480409032044,
        4.925500436983941,
        4.925520464935837,
        4.925540492887734,
        4.92556052083963,
        4.925580548791527,
        4.925600576743423,
        4.92562060469532,
        4.925640632647216,
        4.925660660599113,
        4.925680688551009,
        4.925700716502906,
        4.925720744454802,
        4.925740772406699,
        4.925760800358595,
        4.925780828310492,
        4.925800856262388,
        4.925820884214285,
        4.925840912166181,
        4.925860940118078,
        4.925880968069974,
        4.925900996021871,
        4.925921023973767,
        4.925941051925664,
        4.92596107987756,
        4.925981107829457,
        4.926001135781353,
        4.92602116373325,
        4.926041191685146,
        4.926060742781045,
        4.926080770732941,
        4.926100798684838,
        4.926120826636734,
        4.926140854588631,
        4.926160882540527,
        4.926180910492424,
        4.92620093844432,
        4.926220966396217,
        4.926240994348113,
        4.92626102230001,
        4.926281050251906,
        4.926300601347806,
        4.926320629299702,
        4.926340657251599,
        4.926360685203495,
        4.926380713155392,
        4.926400741107288,
        4.926420769059185,
        4.926440797011081,
        4.926460348106979,
        4.926480376058876,
        4.926500404010772,
        4.926520431962669,
        4.926540459914565,
        4.926560487866462,
        4.926580515818358,
        4.926600066914258,
        4.926620094866154,
        4.926640122818051,
        4.926660150769947,
        4.926680178721844,
        4.92670020667374,
        4.926719757769639,
        4.926739785721535,
        4.926759813673432,
        4.926779841625328,
        4.926799869577225,
        4.926819420673124,
        4.92683944862502,
        4.926859476576917,
        4.926879504528813,
        4.92689953248071,
        4.926919083576609,
        4.9269391115285055,
        4.9269591394804015,
        4.9269791674322985,
        4.9269991953841945,
        4.927018746480094,
        4.92703877443199,
        4.927058802383887,
        4.927078830335783,
        4.927098381431682,
        4.927118409383579,
        4.927138437335475,
        4.927158465287372,
        4.92717801638327,
        4.927198044335167,
        4.927218072287063,
        4.92723810023896,
        4.927257651334859,
        4.927277679286756,
        4.927297707238652,
        4.927317735190549,
        4.9273372862864475,
        4.9273573142383436,
        4.9273773421902405,
        4.927396893286139,
        4.927416921238036,
        4.927436949189932,
        4.927456500285832,
        4.927476528237728,
        4.927496556189625,
        4.927516584141521,
        4.927536135237419,
        4.927556163189316,
        4.927576191141212,
        4.927595742237112,
        4.927615770189008,
        4.927635798140905,
        4.927655349236804,
        4.9276753771887005,
        4.927695405140597,
        4.927714956236495,
        4.927734984188392,
        4.927755012140288,
        4.927774563236188,
        4.927794591188084,
        4.927814142283983,
        4.927834170235879,
        4.927854198187776,
        4.927873749283675,
        4.927893777235571,
        4.927913805187468,
        4.927933356283367,
        4.927953384235264,
        4.927972935331162,
        4.927992963283059,
        4.928012991234955,
        4.928032542330854,
        4.928052570282751,
        4.92807212137865,
        4.9280921493305465,
        4.9281121772824426,
        4.928131728378341,
        4.928151756330238,
        4.928171307426137,
        4.928191335378034,
        4.92821136332993,
        4.928230914425829,
        4.928250942377725,
        4.928270493473624,
        4.928290521425521,
        4.92831007252142,
        4.928330100473317,
        4.928349651569215,
        4.928369679521112,
        4.928389707473008,
        4.928409258568907,
        4.928429286520804,
        4.928448837616703,
        4.9284688655685995,
        4.928488416664498,
        4.928508444616394,
        4.928527995712294,
        4.92854802366419,
        4.928567574760089,
        4.9285876027119855,
        4.928607153807884,
        4.928627181759781,
        4.92864673285568,
        4.928666760807577,
        4.928686311903475,
        4.928706339855372,
        4.928725890951271,
        4.928745918903167,
        4.928765469999067,
        4.928785497950963,
        4.928805049046861,
        4.928825076998758,
        4.928844628094657,
        4.9288641791905565,
        4.928884207142453,
        4.928903758238351,
        4.928923786190248,
        4.928943337286147,
        4.928963365238044,
        4.9289829163339425,
        4.929002944285839,
        4.929022495381738,
        4.929042046477637,
        4.929062074429534,
        4.929081625525432,
        4.929101653477328,
        4.929121204573228,
        4.929141232525124,
        4.929160783621024,
        4.929180334716922,
        4.929200362668818,
        4.929219913764718,
        4.929239941716614,
        4.9292594928125135,
        4.929279043908412,
        4.929299071860308,
        4.929318622956208,
        4.9293381740521065,
        4.9293582020040025,
        4.929377753099902,
        4.929397781051798,
        4.929417332147698,
        4.929436883243596,
        4.9294569111954925,
        4.929476462291392,
        4.929496013387291,
        4.929516041339188,
        4.929535592435086,
        4.929555143530985,
        4.929575171482882,
        4.929594722578781,
        4.929614273674679,
        4.929634301626576,
        4.929653852722475,
        4.929673403818374,
        4.9296934317702705,
        4.929712982866169,
        4.929732533962068,
        4.929752561913965,
        4.9297721130098635,
        4.929791664105763,
        4.929811692057659,
        4.929831243153558,
        4.929850794249457,
        4.929870345345356,
        4.929890373297253,
        4.929909924393152,
        4.92992947548905,
        4.929949503440947,
        4.929969054536846,
        4.929988605632745,
        4.930008156728644,
        4.93002818468054,
        4.930047735776439,
        4.9300672868723385,
        4.930086837968237,
        4.930106865920133,
        4.930126417016033,
        4.9301459681119315,
        4.93016551920783,
        4.930185547159727,
        4.930205098255626,
        4.930224649351525,
        4.930244200447424,
        4.93026422839932,
        4.93028377949522,
        4.930303330591118,
        4.930322881687017,
        4.930342432782917,
        4.930362460734813,
        4.930382011830711,
        4.930401562926611,
        4.93042111402251,
        4.930440665118408,
        4.930460693070305,
        4.930480244166204,
        4.930499795262103,
        4.930519346358002,
        4.930538897453901,
        4.9305584485497995,
        4.9305784765016964,
        4.930598027597595,
        4.930617578693494,
        4.930637129789393,
        4.930656680885292,
        4.930676231981191,
        4.930696259933088,
        4.930715811028986,
        4.930735362124885,
        4.930754913220785,
        4.930774464316683,
        4.930794015412582,
        4.930813566508482,
        4.93083311760438,
        4.930853145556277,
        4.930872696652176,
        4.9308922477480746,
        4.930911798843973,
        4.930931349939873,
        4.9309509010357715,
        4.93097045213167,
        4.93099000322757,
        4.931009554323468,
        4.9310295822753645,
        4.931049133371264,
        4.931068684467163,
        4.931088235563061,
        4.931107786658961,
        4.93112733775486,
        4.931146888850758,
        4.931166439946658,
        4.931185991042557,
        4.931205542138455,
        4.931225093234355,
        4.931244644330254,
        4.931264195426152,
        4.931283746522051,
        4.9313032976179505,
        4.9313233255698465,
        4.931342876665746,
        4.931362427761645,
        4.9313819788575435,
        4.931401529953442,
        4.931421081049342,
        4.93144063214524,
        4.931460183241139,
        4.931479734337039,
        4.931499285432937,
        4.931518836528836,
        4.931538387624736,
        4.931557938720634,
        4.931577489816533,
        4.931597040912433,
        4.931616592008331,
        4.93163614310423,
        4.931655694200129,
        4.931675245296028,
        4.931694796391927,
        4.931714347487826,
        4.931733898583725,
        4.931753449679624,
        4.9317730007755225,
        4.931792551871422,
        4.931811626111323,
        4.931831177207222,
        4.931850728303121,
        4.93187027939902,
        4.931889830494919,
        4.931909381590818,
        4.931928932686717,
        4.931948483782616,
        4.931968034878515,
        4.931987585974413,
        4.932007137070313,
        4.932026688166212,
        4.93204623926211,
        4.93206579035801,
        4.9320853414539085,
        4.93210441569381,
        4.9321239667897085,
        4.932143517885608,
        4.932163068981507,
        4.9321826200774055,
        4.932202171173305,
        4.932221722269204,
        4.932241273365102,
        4.932260824461002,
        4.932279898700903,
        4.932299449796802,
        4.932319000892701,
        4.9323385519886,
        4.932358103084499,
        4.932377654180398,
        4.932397205276296,
        4.932416756372196,
        4.932435830612097,
        4.932455381707996,
        4.932474932803895,
        4.932494483899794,
        4.932514034995693,
        4.9325335860915915,
        4.932552660331493,
        4.932572211427392,
        4.932591762523291,
        4.93261131361919,
        4.932630864715089,
        4.932650415810988,
        4.932669490050889,
        4.932689041146788,
        4.932708592242688,
        4.932728143338586,
        4.932747694434485,
        4.932766768674386,
        4.932786319770286,
        4.932805870866185,
        4.932825421962083,
        4.932844973057983,
        4.932864047297884,
        4.932883598393783,
        4.932903149489682,
        4.932922700585581,
        4.9329417748254825,
        4.932961325921381,
        4.93298087701728,
        4.933000428113179,
        4.933019502353081,
        4.933039053448979,
        4.933058604544878,
        4.933078155640778,
        4.933097229880679,
        4.933116780976578,
        4.933136332072476,
        4.933155883168376,
        4.933174957408277,
        4.933194508504176,
        4.933214059600075,
        4.933233133839977,
        4.9332526849358755,
        4.933272236031774,
        4.933291787127673,
        4.933310861367575,
        4.933330412463474,
        4.9333499635593725,
        4.933369037799274,
        4.9337180963894705,
        4.933737647485369,
        4.933757198581268,
        4.933776272821169,
        4.933795823917069,
        4.93381489815697,
        4.933834449252869,
        4.933854000348767,
        4.933873074588669,
        4.933892625684568,
        4.93391169992447,
        4.933931251020368,
        4.933950802116267,
        4.933969876356169,
        4.933989427452068,
        4.934008501691969,
        4.934028052787868,
        4.9340476038837675,
        4.934066678123669,
        4.9340862292195675,
        4.934105303459469,
        4.9341248545553675,
        4.934143928795269,
        4.934163479891168,
        4.934183030987067,
        4.9342021052269684,
        4.934221656322867,
        4.934240730562769,
        4.934260281658668,
        4.934279355898569,
        4.934298906994468,
        4.934820110599775,
        4.934839184839676,
        4.934858735935575,
        4.934877810175476,
        4.934897361271376,
        4.934916435511277,
        4.934935986607176,
        4.934955060847077,
        4.9349741350869785,
        4.934993686182877,
        4.935012760422779,
        4.935032311518678,
        4.935051385758579,
        4.935070459998481,
        4.935090011094379,
        4.935109085334281,
        4.93512863643018,
        4.935147710670082,
        4.935166784909983,
        4.935186336005882,
        4.935205410245783,
        4.9352249613416825,
        4.935244035581584,
        4.935263109821485,
        4.935282660917384,
        4.935301735157285,
        4.9353208093971865,
        4.935340360493086,
        4.935359434732987,
        4.935378508972889,
        4.9353980600687875,
        4.935417134308689,
        4.93543620854859,
        4.93545575964449,
        4.935474833884391,
        4.935493908124292,
        4.935513459220191,
        4.935532533460092,
        4.935551607699994,
        4.935571158795893,
        4.935590233035795,
        4.935609307275696,
        4.935628858371595,
        4.935647932611496,
        4.935667006851397,
        4.935686557947297,
        4.935705632187198,
        4.9357247064270995,
        4.935743780667001,
        4.9357633317628995,
        4.935782406002801,
        4.935801480242703,
        4.935821031338602,
        4.935840105578503,
        4.935859179818404,
        4.935878254058306,
        4.935897805154205,
        4.935916879394107,
        4.935935953634008,
        4.935955027873909,
        4.935974578969808,
        4.935993653209709,
        4.936012727449611,
        4.936031801689512,
        4.9360513527854115,
        4.936070427025313,
        4.936089501265214,
        4.9361085755051155,
        4.936128126601014,
        4.9361472008409155,
        4.936166275080818,
        4.936185349320719,
        4.93620442356062,
        4.936223974656519,
        4.93624304889642,
        4.936262123136322,
        4.936281197376223,
        4.936300271616124,
        4.936319822712024,
        4.936338896951925,
        4.936357971191827,
        4.936377045431728,
        4.936396119671629,
        4.936415193911531,
        4.93643474500743,
        4.9364538192473315,
        4.936472893487233,
        4.936491967727134,
        4.9365110419670355,
        4.936530116206937,
        4.9365496673028355,
        4.936568741542738,
        4.936587815782639,
        4.93660689002254,
        4.936625964262442,
        4.936645038502343,
        4.936664112742244,
        4.936683663838143,
        4.936702738078044,
        4.936721812317947,
        4.936740886557848,
        4.936759960797749,
        4.936779035037651,
        4.936798109277552,
        4.936817183517453,
        4.936836257757355,
        4.936855808853253,
        4.9368748830931555,
        4.936893957333057,
        4.936913031572958,
        4.9369321058128595,
        4.936951180052761,
        4.936970254292662,
        4.9369893285325634,
        4.937008402772465,
        4.937027477012366,
        4.937046551252268,
        4.93706562549217,
        4.937084699732071,
        4.93710425082797,
        4.937123325067871,
        4.937142399307772,
        4.937161473547674,
        4.937180547787575,
        4.937199622027477,
        4.9372186962673785,
        4.93723777050728,
        4.937256844747181,
        4.9372759189870825,
        4.937294993226984,
        4.937314067466885,
        4.9373331417067865,
        4.937352215946688,
        4.937371290186589,
        4.937390364426491,
        4.937409438666393,
        4.937428512906294,
        4.937447587146195,
        4.937466661386097,
        4.937485735625998,
        4.937504809865899,
        4.937523884105801,
        4.937542958345702,
        4.937562032585603,
        4.9375811068255056,
        4.937600181065407,
        4.937619255305308,
        4.9376383295452095,
        4.937657403785111,
        4.937676478025012,
        4.9376955522649135,
        4.937714626504815,
        4.937733700744716,
        4.937752774984618,
        4.9377713723685215,
        4.937790446608424,
        4.937809520848325,
        4.937828595088226,
        4.937847669328128,
        4.937866743568029,
        4.93788581780793,
        4.937904892047832,
        4.937923966287733,
        4.937943040527634,
        4.937962114767536,
        4.937981189007438,
        4.937999786391341,
        4.938018860631243,
        4.9380379348711445,
        4.938057009111046,
        4.938076083350947,
        4.9380951575908485,
        4.93811423183075,
        4.938133306070651,
        4.9381523803105525,
        4.9381709776944565,
        4.938190051934358,
        4.938209126174259,
        4.93822820041416,
        4.938247274654063,
        4.938266348893964,
        4.938285423133865,
        4.938304020517769,
        4.938323094757671,
        4.938342168997572,
        4.938361243237473,
        4.938380317477375,
        4.938399391717276,
        4.938418465957177,
        4.938437063341081,
        4.938456137580983,
        4.938475211820884,
        4.938494286060786,
        4.938513360300687,
        4.938531957684591,
        4.938551031924493,
        4.938570106164394,
        4.938589180404295,
        4.938608254644197,
        4.938626852028101,
        4.938645926268002,
        4.938665000507903,
        4.938684074747805,
        4.938703148987706,
        4.93872174637161,
        4.938740820611511,
        4.938759894851413,
        4.938778969091314,
        4.938797566475218,
        4.938816640715119,
        4.9388357149550215,
        4.938854789194923,
        4.938873863434824,
        4.938892460818728,
        4.9389115350586295,
        4.938930609298531,
        4.938949206682435,
        4.938968280922336,
        4.938987355162237,
        4.939006429402139,
        4.939025026786043,
        4.939044101025944,
        4.939063175265845,
        4.939082249505747,
        4.939100846889651,
        4.939119921129552,
        4.939138995369453,
        4.939157592753357,
        4.939176666993259,
        4.93919574123316,
        4.939214815473062,
        4.939233412856966,
        4.9392524870968675,
        4.939271561336769,
        4.939290158720673,
        4.939309232960574,
        4.939328307200475,
        4.939346904584379,
        4.939365978824281,
        4.939385053064182,
        4.939403650448086,
        4.939422724687987,
        4.939441798927889,
        4.939460396311793,
        4.939479470551694,
        4.939498544791595,
        4.939517142175499,
        4.939536216415401,
        4.939554813799305,
        4.939573888039206,
        4.939592962279107,
        4.939611559663011,
        4.939630633902913,
        4.939649708142814,
        4.939668305526718,
        4.939687379766619,
        4.939705977150523,
        4.9397250513904245,
        4.939744125630326,
        4.93976272301423,
        4.939781797254131,
        4.939800394638035,
        4.939819468877936,
        4.939838543117839,
        4.939857140501742,
        4.939876214741644,
        4.939894812125547,
        4.939913886365449,
        4.939932960605351,
        4.939951557989255,
        4.939970632229156,
        4.93998922961306,
        4.940008303852961,
        4.940026901236865,
        4.9400459754767665,
        4.9400645728606705,
        4.940083647100572,
        4.940102721340473,
        4.940121318724377,
        4.940140392964278,
        4.940158990348182,
        4.940178064588084,
        4.940196661971988,
        4.940215736211889,
        4.940234333595793,
        4.940253407835694,
        4.940272005219598,
        4.9402910794595,
        4.940309676843404,
        4.940328751083305,
        4.940347348467209,
        4.94036642270711,
        4.940385020091014,
        4.9404040943309155,
        4.9404226917148195,
        4.940441765954721,
        4.940460363338625,
        4.940479437578526,
        4.94049803496243,
        4.9405171092023314,
        4.940535706586235,
        4.940554780826137,
        4.940573378210041,
        4.940592452449942,
        4.940611049833846,
        4.94062964721775,
        4.940648721457651,
        4.940667318841555,
        4.940686393081457,
        4.940704990465361,
        4.940724064705262,
        4.940742662089166,
        4.940761736329067,
        4.940780333712971,
        4.940798931096875,
        4.9408180053367765,
        4.9408366027206805,
        4.940855676960582,
        4.940874274344486,
        4.940892871728389,
        4.940911945968291,
        4.940930543352194,
        4.940949617592096,
        4.9409682149759995,
        4.9409868123599034,
        4.941005886599805,
        4.941024483983709,
        4.94104355822361,
        4.941062155607514,
        4.941080752991418,
        4.941099827231319,
        4.941118424615223,
        4.941137021999127,
        4.941156096239029,
        4.941174693622933,
        4.941193767862834,
        4.941212365246738,
        4.941230962630642,
        4.941250036870543,
        4.941268634254447,
        4.941287231638351,
        4.9413063058782525,
        4.9413249032621565,
        4.94134350064606,
        4.941362574885962,
        4.941381172269866,
        4.94139976965377,
        4.941418843893671,
        4.941437441277575,
        4.941456038661479,
        4.941474636045383,
        4.941493710285284,
        4.941512307669188,
        4.941530905053091,
        4.9415499792929936,
        4.941568576676897,
        4.941587174060801,
        4.941606248300702,
        4.941624845684606,
        4.94164344306851,
        4.941662040452414,
        4.941681114692315,
        4.941699712076219,
        4.941718309460123,
        4.941736906844027,
        4.941755981083928,
        4.941774578467832,
        4.941793175851736,
        4.94181177323564,
        4.941830847475542,
        4.941849444859446,
        4.94186804224335,
        4.941886639627254,
        4.941905713867155,
        4.941924311251059,
        4.941942908634963,
        4.941961506018866,
        4.941980580258768,
        4.941999177642671,
        4.942017775026575,
        4.942036372410479,
        4.942054969794383,
        4.9420740440342845,
        4.9420926414181885,
        4.9421112388020925,
        4.942129836185996,
        4.9421484335699,
        4.942167507809802,
        4.942186105193706,
        4.94220470257761,
        4.942223299961514,
        4.942241897345418,
        4.942260971585319,
        4.942279568969223,
        4.942298166353126,
        4.94231676373703,
        4.942335361120934,
        4.942353958504838,
        4.942372555888742,
        4.942391630128643,
        4.942410227512547,
        4.942428824896451,
        4.942447422280355,
        4.942466019664259,
        4.942484617048163,
        4.942503214432067,
        4.942522288671968,
        4.942540886055872,
        4.9425594834397755,
        4.942578080823679,
        4.942596678207583,
        4.942615275591487,
        4.942633872975391,
        4.942652470359295,
        4.942671544599197,
        4.942690141983101,
        4.942708739367005,
        4.942727336750909,
        4.942745934134813,
        4.9427645315187165,
        4.94278312890262,
        4.942801726286524,
        4.942820323670428,
        4.9428389210543315,
        4.9428575184382355,
        4.9428761158221395,
        4.942895190062041,
        4.942913787445945,
        4.942932384829849,
        4.942950982213753,
        4.943583293266484,
        4.943601890650388,
        4.943620488034292,
        4.943638608562199,
        4.94588078546261,
        4.949722337378756,
        4.949744272754644,
        4.94976620813053,
        4.949788143506416,
        4.949810555738301,
        4.949832491114187,
        4.949854426490074,
        4.949876838721958,
        4.949898774097845,
        4.949920709473732,
        4.949942644849618,
        4.949965057081502,
        4.949986992457389,
        4.9500089278332755,
        4.950030863209162,
        4.9500532754410465,
        4.950075210816933,
        4.950097146192819,
        4.950119081568706,
        4.950141016944593,
        4.950163429176477,
        4.950185364552364,
        4.95020729992825,
        4.950229235304137,
        4.950251647536021,
        4.950273582911907,
        4.950295518287795,
        4.950317453663681,
        4.950339389039567,
        4.9503613244154545,
        4.950383736647338,
        4.9504056720232255,
        4.950427607399112,
        4.950449542774998,
        4.9504714781508845,
        4.950493890382769,
        4.9505158257586555,
        4.950537761134543,
        4.950559696510429,
        4.950581631886315,
        4.950603567262203,
        4.950625502638089,
        4.950647914869973,
        4.95066985024586,
        4.950691785621746,
        4.950713720997633,
        4.95073565637352,
        4.950757591749406,
        4.950779527125293,
        4.95080146250118,
        4.9508238747330635,
        4.950845810108951,
        4.950867745484837,
        4.9508896808607235,
        4.95091161623661,
        4.950933551612497,
        4.950955486988383,
        4.95097742236427,
        4.950999357740157,
        4.951021293116043,
        4.95104322849193,
        4.951065640723814,
        4.951087576099701,
        4.951109511475588,
        4.951131446851474,
        4.951153382227361,
        4.951175317603247,
        4.951197252979134,
        4.9512191883550205,
        4.951241123730907,
        4.951263059106794,
        4.9512849944826804,
        4.951306929858567,
        4.951328865234454,
        4.95135080061034,
        4.951372735986227,
        4.951394671362114,
        4.951416606738,
        4.951438542113887,
        4.951460477489774,
        4.95148241286566,
        4.951504348241547,
        4.951526283617434,
        4.95154821899332,
        4.9515701543692066,
        4.951592089745094,
        4.95161402512098,
        4.9516359604968665,
        4.951657895872753,
        4.95167983124864,
        4.951701766624526,
        4.951723702000413,
        4.9517456373763,
        4.951767572752186,
        4.951789508128073,
        4.95181144350396,
        4.951833378879846,
        4.951855314255733,
        4.95187724963162,
        4.951899185007506,
        4.951920643527395,
        4.951942578903282,
        4.951964514279169,
        4.951986449655055,
        4.9520083850309415,
        4.952030320406829,
        4.952052255782715,
        4.9520741911586015,
        4.952096126534489,
        4.952118061910375,
        4.952139997286261,
        4.95216145580615,
        4.952183391182038,
        4.952205326557924,
        4.95222726193381,
        4.952249197309698,
        4.952271132685584,
        4.95229306806147,
        4.9523150034373575,
        4.9523364619572465,
        4.952358397333133,
        4.952380332709019,
        4.9524022680849065,
        4.952424203460793,
        4.952446138836679,
        4.952468074212566,
        4.952489532732455,
        4.952511468108342,
        4.952533403484228,
        4.952555338860115,
        4.953384591439829,
        4.953406049959718,
        4.953427985335605,
        4.953449920711492,
        4.953471379231381,
        4.953493314607267,
        4.953515249983154,
        4.9535367085030435,
        4.95355864387893,
        4.953580579254816,
        4.953602037774705,
        4.953623973150592,
        4.953645908526479,
        4.953667367046368,
        4.953689302422254,
        4.953711237798141,
        4.95373269631803,
        4.953754631693917,
        4.953776567069804,
        4.953798025589693,
        4.953819960965579,
        4.953841419485468,
        4.953863354861355,
        4.953885290237242,
        4.953906748757131,
        4.953928684133017,
        4.953950142652906,
        4.9539720780287935,
        4.95399401340468,
        4.954015471924569,
        4.954037407300455,
        4.954058865820344,
        4.954080801196231,
        4.954102736572118,
        4.954124195092007,
        4.954146130467894,
        4.954167588987783,
        4.954189524363669,
        4.954210982883558,
        4.954232918259445,
        4.954254853635332,
        4.954276312155221,
        4.955251959526178,
        4.955273418046067,
        4.955295353421954,
        4.955316811941843,
        4.955338270461732,
        4.955360205837619,
        4.955381664357508,
        4.955403599733395,
        4.955425058253284,
        4.955446516773173,
        4.955468452149059,
        4.955489910668948,
        4.955511369188837,
        4.9555333045647245,
        4.9555547630846135,
        4.9555762216045025,
        4.955598156980389,
        4.955619615500278,
        4.955641074020168,
        4.955663009396054,
        4.955684467915943,
        4.955705926435832,
        4.955727861811718,
        4.955749320331608,
        4.955770778851497,
        4.955792237371386,
        4.955814172747273,
        4.955835631267162,
        4.955857089787051,
        4.955879025162938,
        4.955900483682827,
        4.955921942202716,
        4.955943400722605,
        4.955965336098491,
        4.95598679461838,
        4.95600825313827,
        4.956029711658159,
        4.956051647034045,
        4.956073105553934,
        4.956094564073823,
        4.956116022593712,
        4.9561379579696,
        4.956159416489489,
        4.956180875009378,
        4.956202333529267,
        4.956224268905153,
        4.956245727425042,
        4.956267185944932,
        4.956288644464821,
        4.956310579840707,
        4.956332038360596,
        4.956353496880485,
        4.956374955400374,
        4.956396413920263,
        4.95641834929615,
        4.956439807816039,
        4.956461266335928,
        4.956482724855817,
        4.956504183375706,
        4.956525641895595,
        4.956547577271483,
        4.956569035791372,
        4.956590494311261,
        4.95661195283115,
        4.956633411351039,
        4.956654869870928,
        4.956676805246815,
        4.956698263766704,
        4.956719722286593,
        4.956741180806482,
        4.956762639326371,
        4.95678409784626,
        4.956805556366149,
        4.956827491742036,
        4.956848950261925,
        4.956870408781814,
        4.956891867301703,
        4.956913325821592,
        4.956934784341481,
        4.95695624286137,
        4.956977701381259,
        4.956999159901148,
        4.957021095277035,
        4.957042553796924,
        4.957064012316813,
        4.957085470836702,
        4.957106929356591,
        4.95712838787648,
        4.957149846396369,
        4.957171304916259,
        4.957192763436148,
        4.957214221956037,
        4.957235680475926,
        4.957257138995815,
        4.957278597515704,
        4.957300056035593,
        4.957321514555482,
        4.957343449931369,
        4.957364908451258,
        4.957386366971147,
        4.957407825491036,
        4.957429284010925,
        4.957450742530814,
        4.957472201050703,
        4.957493659570593,
        4.957515118090482,
        4.957536576610371,
        4.95755803513026,
        4.957579493650149,
        4.957600952170038,
        4.957622410689927,
        4.958263066722616,
        4.959375810192865,
        4.959439708896535,
        4.959461167416424,
        4.959482625936313,
        4.959504084456203,
        4.959525066120094,
        4.9595465246399835,
        4.9595679831598725,
        4.959588964823764,
        4.959610423343653,
        4.959631881863542,
        4.959652863527434,
        4.959674322047323,
        4.959695780567212,
        4.959716762231103,
        4.959738220750992,
        4.959759679270881,
        4.959780660934773,
        4.959802119454662,
        4.959823101118554,
        4.959844559638443,
        4.959866018158332,
        4.959886999822223,
        4.959908458342112,
        4.959929916862001,
        4.959950898525893,
        4.959972357045783,
        4.9599933387096735,
        4.960014797229563,
        4.960036255749452,
        4.960057237413344,
        4.960078695933233,
        4.960099677597125,
        4.960121136117014,
        4.960142117780905,
        4.960163576300794,
        4.960185034820683,
        4.960206016484575,
        4.960227475004464,
        4.960248456668356,
        4.960269915188245,
        4.960290896852136,
        4.960312355372025,
        4.960333813891914,
        4.960354795555806,
        4.960376254075695,
        4.9603972357395865,
        4.9604186942594755,
        4.960439675923367,
        4.960461134443256,
        4.960482116107148,
        4.960503574627037,
        4.960524556290928,
        4.960546014810817,
        4.960566996474709,
        4.960588454994598,
        4.96060943665849,
        4.960630895178379,
        4.96065187684227,
        4.960673335362159,
        4.960694317026051,
        4.96071577554594,
        4.9607367572098315,
        4.9607582157297205,
        4.960779197393612,
        4.960800655913501,
        4.960821637577393,
        4.960843096097282,
        4.960864077761173,
        4.960885536281062,
        4.960906517944954,
        4.960927499608846,
        4.960948958128735,
        4.960969939792626,
        4.960991398312515,
        4.961012379976407,
        4.961033838496296,
        4.961054820160188,
        4.961076278680077,
        4.961097260343968,
        4.96111824200786,
        4.961139700527749,
        4.9611606821916405,
        4.9611821407115295,
        4.961203122375421,
        4.961224104039313,
        4.961245562559202,
        4.961266544223093,
        4.961288002742982,
        4.961308984406874,
        4.961329966070766,
        4.961351424590655,
        4.961372406254546,
        4.961393387918438,
        4.961414846438327,
        4.961435828102219,
        4.961457286622108,
        4.961478268285999,
        4.961499249949891,
        4.96152070846978,
        4.9615416901336715,
        4.961562671797563,
        4.961584130317452,
        4.961605111981344,
        4.961626093645235,
        4.961647552165124,
        4.961668533829016,
        4.961689515492908,
        4.961710974012797,
        4.961731955676688,
        4.96175293734058,
        4.961774395860469,
        4.961795377524361,
        4.961816359188252,
        4.961837340852144,
        4.961858799372033,
        4.9618797810359245,
        4.961900762699816,
        4.961922221219705,
        4.961943202883597,
        4.961964184547488,
        4.96198516621138,
        4.962006624731269,
        4.962027606395161,
        4.962048588059052,
        4.962070046578941,
        4.962091028242833,
        4.962112009906724,
        4.962132991570615,
        4.962154450090504,
        4.962175431754396,
        4.962196413418288,
        4.962217395082179,
        4.962238376746071,
        4.96225983526596,
        4.962280816929852,
        4.962301798593743,
        4.962322780257635,
        4.962344238777524,
        4.9623652204414155,
        4.962386202105307,
        4.962407183769199,
        4.96242816543309,
        4.962449623952979,
        4.962470605616871,
        4.962491587280763,
        4.962512568944654,
        4.962533550608546,
        4.962555009128435,
        4.962575990792327,
        4.962596972456217,
        4.962617954120109,
        4.962638935784001,
        4.962659917447892,
        4.962681375967781,
        4.962702357631673,
        4.9627233392955645,
        4.962744320959456,
        4.962765302623348,
        4.9627862842872394,
        4.962807265951131,
        4.96282872447102,
        4.962849706134912,
        4.962870687798803,
        4.962891669462695,
        4.962912651126587,
        4.962933632790477,
        4.962954614454369,
        4.962975596118261,
        4.962996577782152,
        4.963018036302041,
        4.963039017965933,
        4.963059999629825,
        4.963080981293716,
        4.963101962957608,
        4.9631229446214995,
        4.963143926285391,
        4.963164907949283,
        4.963185889613174,
        4.963206871277066,
        4.963227852940957,
        4.9632488346048484,
        4.963270293124737,
        4.963291274788629,
        4.963312256452521,
        4.963333238116412,
        4.963354219780304,
        4.963375201444196,
        4.963396183108087,
        4.963417164771979,
        4.963438146435871,
        4.963459128099762,
        4.963480109763654,
        4.9635010914275455,
        4.963522073091436,
        4.963543054755328,
        4.9635640364192195,
        4.963585018083111,
        4.963605999747003,
        4.963626981410894,
        4.963647963074786,
        4.963668944738678,
        4.963689926402569,
        4.963710908066461,
        4.963731889730353,
        4.963752871394243,
        4.963773853058135,
        4.963794834722027,
        4.963815816385918,
        4.96383679804981,
        4.963857779713702,
        4.963878761377593,
        4.963899743041485,
        4.9639207247053765,
        4.963941706369268,
        4.96396268803316,
        4.963983669697051,
        4.964004174504945,
        4.964025156168836,
        4.964046137832728,
        4.96406711949662,
        4.964088101160511,
        4.964109082824403,
        4.964130064488295,
        4.964151046152186,
        4.964172027816078,
        4.964193009479969,
        4.96421399114386,
        4.964234972807752,
        4.964255477615646,
        4.964276459279538,
        4.9642974409434295,
        4.964318422607321,
        4.964339404271213,
        4.964360385935104,
        4.964381367598995,
        4.964402349262887,
        4.964422854070781,
        4.964443835734673,
        4.964464817398564,
        4.964485799062456,
        4.964506780726348,
        4.964527762390239,
        4.964548744054131,
        4.964569248862024,
        4.964590230525916,
        4.964611212189808,
        4.964632193853699,
        4.964653175517591,
        4.9646741571814825,
        4.964694661989377,
        4.964715643653268,
        4.964736625317159,
        4.964757606981051,
        4.9647785886449425,
        4.964799570308834,
        4.964820075116728,
        4.96484105678062,
        4.964862038444512,
        4.964883020108403,
        4.964903524916297,
        4.964924506580188,
        4.96494548824408,
        4.964966469907972,
        4.964987451571863,
        4.965007956379758,
        4.965028938043649,
        4.96504991970754,
        4.965070901371432,
        4.965091406179326,
        4.9651123878432175,
        4.965133369507109,
        4.965154351171001,
        4.965174855978895,
        4.965195837642786,
        4.9652168193066775,
        4.965237800970569,
        4.965258305778463,
        4.965279287442355,
        4.965300269106247,
        4.965321250770138,
        4.965341755578032,
        4.965362737241923,
        4.965383718905815,
        4.965404223713709,
        4.965425205377601,
        4.9654461870414925,
        4.965466691849387,
        4.965487673513278,
        4.965508655177169,
        4.965529636841061,
        4.965550141648955,
        4.965571123312847,
        4.965592104976738,
        4.965612609784633,
        4.9656335914485235,
        4.965654573112415,
        4.965675077920309,
        4.965696059584201,
        4.965716564392095,
        4.965737546055987,
        4.965758527719879,
        4.965779032527772,
        4.965800014191664,
        4.965820995855555,
        4.9658415006634495,
        4.965862482327341,
        4.965883463991233,
        4.965903968799126,
        4.965924950463018,
        4.965945455270912,
        4.965966436934804,
        4.965987418598695,
        4.966007923406589,
        4.9660289050704804,
        4.966049409878375,
        4.966070391542266,
        4.966091373206158,
        4.966111878014052,
        4.966132859677944,
        4.966153364485837,
        4.966174346149729,
        4.966195327813621,
        4.966215832621515,
        4.9662368142854065,
        4.9662573190933,
        4.966278300757192,
        4.966298805565086,
        4.9663197872289775,
        4.966340292036872,
        4.966361273700763,
        4.966382255364654,
        4.9664027601725484,
        4.96642374183644,
        4.966444246644334,
        4.966465228308226,
        4.966485733116119,
        4.966506714780011,
        4.966527219587905,
        4.966548201251797,
        4.966568706059691,
        4.966589687723583,
        4.966610192531476,
        4.966631174195368,
        4.966651679003262,
        4.966672660667154,
        4.966693165475048,
        4.966714147138939,
        4.966734651946833,
        4.966755633610725,
        4.966776138418619,
        4.966797120082511,
        4.966817624890404,
        4.966838606554296,
        4.96685911136219,
        4.966879616170084,
        4.966900597833976,
        4.966921102641869,
        4.966942084305761,
        4.966962589113655,
        4.966983570777547,
        4.967004075585441,
        4.967025057249333,
        4.967045562057226,
        4.9670660668651205,
        4.967087048529012,
        4.9671075533369065,
        4.967128535000797,
        4.9671490398086915,
        4.967169544616586,
        4.967190526280477,
        4.967211031088372,
        4.9672320127522624,
        4.967252517560157,
        4.967273022368051,
        4.967294004031943,
        4.967314508839836,
        4.967335490503728,
        4.967355995311622,
        4.967376500119516,
        4.967397481783408,
        4.967417986591301,
        4.967438491399196,
        4.967459473063087,
        4.9674799778709815,
        4.967500959534873,
        4.9675214643427665,
        4.967541969150661,
        4.9675629508145525,
        4.967583455622447,
        4.96760396043034,
        4.967624942094232,
        4.967645446902126,
        4.96766595171002,
        4.967686933373912,
        4.967707438181805,
        4.9677279429897,
        4.967748924653591,
        4.967769429461486,
        4.967789934269379,
        4.967810439077273,
        4.967831420741165,
        4.967851925549059,
        4.9678724303569535,
        4.967893412020844,
        4.9679139168287385,
        4.967934421636633,
        4.967954926444527,
        4.967975908108418,
        4.967996412916312,
        4.968016917724206,
        4.968037899388098,
        4.968058404195992,
        4.968078909003886,
        4.96809941381178,
        4.968120395475672,
        4.968140900283566,
        4.968161405091459,
        4.968181909899354,
        4.968202414707248,
        4.9682233963711395,
        4.968243901179033,
        4.968264405986927,
        4.9682849107948215,
        4.968305892458713,
        4.9683263972666065,
        4.968346902074501,
        4.968367406882395,
        4.9683879116902885,
        4.96840889335418,
        4.968429398162074,
        4.968449902969969,
        4.968470407777863,
        4.968490912585756,
        4.968511894249648,
        4.968532399057542,
        4.968552903865437,
        4.96857340867333,
        4.968593913481224,
        4.9686144182891185,
        4.96863539995301,
        4.968655904760904,
        4.968676409568798,
        4.968696914376692,
        4.9687174191845855,
        4.96873792399248,
        4.9687589056563715,
        4.968779410464266,
        4.96879991527216,
        4.968820420080053,
        4.968840924887948,
        4.968861429695842,
        4.968881934503735,
        4.96890243931163,
        4.968923420975521,
        4.968943925783416,
        4.968964430591309,
        4.968984935399203,
        4.969005440207098,
        4.969025945014992,
        4.969046449822885,
        4.9690669546307795,
        4.969087459438674,
        4.969107964246567,
        4.9691284690544615,
        4.969149450718353,
        4.969169955526247,
        4.969190460334141,
        4.969210965142035,
        4.969231469949929,
        4.969251974757824,
        4.969272479565717,
        4.969292984373611,
        4.969313489181506,
        4.969333993989399,
        4.969354498797293,
        4.969375003605188,
        4.969395508413082,
        4.969416013220975,
        4.9694365180288695,
        4.969457022836764,
        4.969477527644657,
        4.9694980324525515,
        4.969518537260446,
        4.969539042068339,
        4.9695595468762335,
        4.969580051684128,
        4.969600556492022,
        4.969621061299915,
        4.96964156610781,
        4.969662070915704,
        4.969682575723597,
        4.969703080531492,
        4.969723585339386,
        4.96974409014728,
        4.969764594955174,
        4.969785099763068,
        4.969805604570962,
        4.969826109378856,
        4.96984661418675,
        4.969867118994644,
        4.9698876238025385,
        4.969908128610432,
        4.969928633418326,
        4.96994913822622,
        4.969969643034114,
        4.969990147842008,
        4.970010652649902,
        4.970031157457797,
        4.970051185409693,
        4.970071690217587,
        4.97009219502548,
        4.970112699833375,
        4.970133204641269,
        4.970153709449163,
        4.970174214257057,
        4.970194719064951,
        4.970215223872845,
        4.970235728680739,
        4.970256233488633,
        4.97027626144053,
        4.970296766248423,
        4.9703172710563175,
        4.970337775864212,
        4.970358280672106,
        4.9703787854799995,
        4.970399290287894,
        4.970419795095788,
        4.970439823047684,
        4.970460327855578,
        4.970480832663473,
        4.970501337471366,
        4.97052184227926,
        4.970542347087155,
        4.970562375039051,
        4.970582879846945,
        4.970603384654839,
        4.970623889462733,
        4.970644394270627,
        4.970664899078521,
        4.970684927030417,
        4.9707054318383115,
        4.970725936646206,
        4.970746441454099,
        4.9707669462619934,
        4.97078697421389,
        4.970807479021784,
        4.970827983829678,
        4.970848488637572,
        4.970868993445466,
        4.970889021397363,
        4.970909526205257,
        4.97093003101315,
        4.970950535821045,
        4.9709705637729416,
        4.970991068580835,
        4.971011573388729,
        4.9710320781966235,
        4.971052583004517,
        4.971072610956414,
        4.971093115764308,
        4.9711136205722015,
        4.971134125380096,
        4.971154153331993,
        4.971174658139886,
        4.97119516294778,
        4.971215190899677,
        4.971235695707571,
        4.971256200515465,
        4.971276705323359,
        4.971296733275255,
        4.97131723808315,
        4.971337742891044,
        4.97135777084294,
        4.971378275650834,
        4.9713987804587285,
        4.971419285266622,
        4.971439313218519,
        4.971459818026412,
        4.9714803228343065,
        4.9715003507862034,
        4.971520855594097,
        4.971541360401991,
        4.971561388353888,
        4.9715818931617815,
        4.971602397969676,
        4.971622425921573,
        4.971642930729466,
        4.97166343553736,
        4.971683463489256,
        4.971703968297151,
        4.971723996249048,
        4.971744501056941,
        4.971765005864835,
        4.971785033816732,
        4.971805538624626,
        4.97182604343252,
        4.971846071384417,
        4.97186657619231,
        4.9718870810002045,
        4.9719071089521005,
        4.971927613759995,
        4.971947641711892,
        4.971968146519785,
        4.971988651327679,
        4.972008679279576,
        4.97202918408747,
        4.972049212039367,
        4.972069716847261,
        4.972089744799157,
        4.972110249607051,
        4.972130754414945,
        4.972150782366842,
        4.972171287174736,
        4.972191315126632,
        4.972211819934526,
        4.972231847886422,
        4.9722523526943165,
        4.972272857502211,
        4.972292885454107,
        4.972313390262001,
        4.972333418213898,
        4.9723539230217915,
        4.972373950973688,
        4.972394455781582,
        4.972414483733479,
        4.972434988541373,
        4.972455016493269,
        4.972475521301163,
        4.972495549253059,
        4.972516054060954,
        4.972536082012851,
        4.972556586820744,
        4.972576614772641,
        4.972597119580535,
        4.972617147532431,
        4.9726376523403255,
        4.9726576802922215,
        4.972678185100116,
        4.972698213052013,
        4.972718717859906,
        4.972738745811803,
        4.9727592506196965,
        4.972779278571593,
        4.972799783379488,
        4.972819811331384,
        4.972839839283281,
        4.972860344091174,
        4.972880372043071,
        4.972900876850965,
        4.972920904802861,
        4.972941409610756,
        4.972961437562652,
        4.972981942370546,
        4.973001970322443,
        4.973021998274339,
        4.973042503082233,
        4.973062531034129,
        4.9730830358420235,
        4.97310306379392,
        4.9731230917458165,
        4.973143596553711,
        4.973163624505607,
        4.973184129313501,
        4.973204157265397,
        4.973224185217294,
        4.973244690025188,
        4.973264717977084,
        4.973285222784979,
        4.973305250736875,
        4.973325278688772,
        4.973345783496666,
        4.973365811448562,
        4.973385839400459,
        4.973406344208352,
        4.973426372160249,
        4.973446400112145,
        4.9734669049200395,
        4.973486932871936,
        4.9735069608238325,
        4.973527465631727,
        4.973547493583623,
        4.97356752153552,
        4.973588026343414,
        4.97360805429531,
        4.973628082247207,
        4.9736485870551,
        4.973668615006997,
        4.973688642958893,
        4.973709147766788,
        4.973729175718684,
        4.973749203670581,
        4.973769708478475,
        4.973789736430371,
        4.973809764382268,
        4.973829792334164,
        4.973850297142058,
        4.973870325093954,
        4.973890353045851,
        4.973910857853745,
        4.9739308858056415,
        4.973950913757538,
        4.973970941709434,
        4.973991446517329,
        4.974011474469225,
        4.974031502421122,
        4.974051530373018,
        4.974072035180912,
        4.974092063132809,
        4.974112091084705,
        4.974132119036602,
        4.974152623844495,
        4.974172651796392,
        4.974192679748288,
        4.974212707700185,
        4.974232735652081,
        4.9742532404599755,
        4.9742732684118725,
        4.9742932963637685,
        4.974313324315665,
        4.9743333522675615,
        4.974353857075456,
        4.974373885027352,
        4.974393912979249,
        4.974413940931145,
        4.974433968883042,
        4.974454473690936,
        4.974474501642832,
        4.974494529594729,
        4.974514557546625,
        4.974534585498522,
        4.974554613450418,
        4.974575118258312,
        4.974595146210208,
        4.974615174162105,
        4.974635202114001,
        4.974655230065898,
        4.974675258017794,
        4.974695285969691,
        4.974715790777585,
        4.9747358187294815,
        4.974755846681378,
        4.974775874633274,
        4.974795902585171,
        4.974815930537067,
        4.974835958488964,
        4.97485598644086,
        4.974876014392757,
        4.974896519200651,
        4.974916547152548,
        4.974936575104444,
        4.974956603056341,
        4.974976631008237,
        4.9749966589601335,
        4.97501668691203,
        4.9750367148639265,
        4.9750567428158226,
        4.9750767707677195,
        4.9750967987196155,
        4.9751168266715124,
        4.975137331479407,
        4.975157359431303,
        4.9751773873832,
        4.975197415335096,
        4.975217443286993,
        4.975237471238889,
        4.975257499190786,
        4.975277527142682,
        4.975297555094579,
        4.975317583046475,
        4.975337610998372,
        4.975357638950268,
        4.9753776669021645,
        4.975397694854061,
        4.9754177228059575,
        4.9754377507578535,
        4.9754577787097505,
        4.9754778066616465,
        4.9754978346135434,
        4.9755178625654395,
        4.975537890517336,
        4.9755579184692325,
        4.975577946421129,
        4.975597974373025,
        4.975618002324922,
        4.975638030276818,
        4.975658058228715,
        4.975678086180611,
        4.975698114132508,
        4.975718142084404,
        4.975738170036301,
        4.975758197988197,
        4.975778225940094,
        4.97579825389199,
        4.975818281843887,
        4.975838309795783,
        4.97585833774768,
        4.975877888843579,
        4.975897916795476,
        4.975917944747372,
        4.975937972699269,
        4.975958000651165,
        4.975978028603062,
        4.975998056554958,
        4.976018084506855,
        4.976038112458751,
        4.976058140410648,
        4.976078168362544,
        4.976098196314441,
        4.976117747410339,
        4.976137775362236,
        4.976157803314132,
        4.976177831266029,
        4.976197859217925,
        4.976217887169822,
        4.976237915121718,
        4.976257943073615,
        4.976277494169514,
        4.976297522121411,
        4.976317550073307,
        4.976337578025204,
        4.9763576059771,
        4.976377633928997,
        4.976397661880893,
        4.976417212976791,
        4.976437240928688,
        4.976457268880584,
        4.976477296832481,
        4.976497324784377,
        4.976517352736274,
        4.976536903832173,
        4.97655693178407,
        4.976576959735966,
        4.976596987687863,
        4.976617015639759,
        4.9766365667356585,
        4.9766565946875545,
        4.976676622639451,
        4.9766966505913475,
        4.977214039348674,
        4.97723406730057,
        4.977254095252467,
        4.977273646348365,
        4.977293674300262,
        4.977313702252158,
        4.977333730204055,
        4.977353281299954,
        4.977373309251851,
        4.977393337203747,
        4.977412888299646,
        4.9774329162515425,
        4.9774529442034385,
        4.977472495299338,
        4.977492523251234,
        4.977512551203131,
        4.97753210229903,
        4.977552130250926,
        4.977572158202823,
        4.977591709298721,
        4.977611737250618,
        4.977631288346517,
        4.977651316298414,
        4.97767134425031,
        4.977690895346209,
        4.977710923298106,
        4.977730951250002,
        4.977750502345901,
        4.977770530297797,
        4.977790081393697,
        4.977810109345593,
        4.97783013729749,
        4.9778496883933885,
        4.9778697163452845,
        4.977889267441184,
        4.97790929539308,
        4.977929323344977,
        4.977948874440876,
        4.977968902392773,
        4.977988453488671,
        4.978008481440567,
        4.978028032536467,
        4.978048060488363,
        4.97806808844026,
        4.978087639536159,
        4.978107667488055,
        4.978127218583954,
        4.97814724653585,
        4.97816679763175,
        4.978186825583646,
        4.978206376679545,
        4.9782264046314415,
        4.97824595572734,
        4.978265983679237,
        4.978286011631133,
        4.978305562727033,
        4.978325590678929,
        4.9783451417748275,
        4.978365169726724,
        4.978384720822623,
        4.97840474877452,
        4.978424299870419,
        4.978444327822315,
        4.978463878918214,
        4.97848390687011,
        4.97850345796601,
        4.978523485917906,
        4.978543037013805,
        4.978562588109704,
        4.9785826160616,
        4.9786021671575,
        4.978622195109396,
        4.9786417462052945,
        4.9786617741571915,
        4.97868132525309,
        4.978701353204987,
        4.978720904300886,
        4.978740932252782,
        4.978760483348681,
        4.978780511300577,
        4.978800062396477,
        4.978819613492376,
        4.978839641444272,
        4.978859192540171,
        4.978879220492067,
        4.978898771587967,
        4.978918322683866,
        4.978938350635762,
        4.978957901731661,
        4.978977929683557,
        4.978997480779456,
        4.979017508731353,
        4.9790370598272515,
        4.979056610923151,
        4.979076638875047,
        4.979096189970946,
        4.979115741066845,
        4.979135769018741,
        4.979155320114641,
        4.979175348066537,
        4.979194899162436,
        4.979214450258335,
        4.979234478210231,
        4.97925402930613,
        4.97927358040203,
        4.979293608353926,
        4.979313159449825,
        4.979332710545724,
        4.97935273849762,
        4.9793722895935195,
        4.979391840689418,
        4.979411868641315,
        4.979431419737214,
        4.9794509708331125,
        4.979470998785009,
        4.979490549880908,
        4.979510100976807,
        4.979530128928704,
        4.979549680024602,
        4.979569231120501,
        4.979589259072398,
        4.979608810168297,
        4.979628361264195,
        4.979647912360095,
        4.979667940311991,
        4.979687491407891,
        4.979707042503789,
        4.979727070455685,
        4.979746621551585,
        4.979766172647484,
        4.979785723743382,
        4.979805751695279,
        4.979825302791178,
        4.9798448538870765,
        4.979864404982976,
        4.979884432934872,
        4.979903984030772,
        4.97992353512667,
        4.979943086222569,
        4.979963114174466,
        4.979982665270365,
        4.980002216366263,
        4.980021767462163,
        4.980041795414059,
        4.980061346509958,
        4.980080897605857,
        4.980100448701756,
        4.980119999797655,
        4.980140027749552,
        4.98015957884545,
        4.980179129941349,
        4.9801986810372485,
        4.980218232133147,
        4.980238260085044,
        4.980257811180943,
        4.9802773622768415,
        4.98029691337274,
        4.98031646446864,
        4.980336492420536,
        4.980356043516435,
        4.980375594612334,
        4.980395145708233,
        4.980414696804132,
        4.980434247900031,
        4.98045379899593,
        4.980473826947827,
        4.980493378043725,
        4.980512929139624,
        4.9805324802355235,
        4.980552031331422,
        4.980571582427321,
        4.98059113352322,
        4.9806111614751165,
        4.980630712571015,
        4.980650263666915,
        4.9806698147628135,
        4.980689365858712,
        4.980708916954612,
        4.981335505735373,
        4.981355056831272,
        4.981374607927171,
        4.98139415902307,
        4.981413710118969,
        4.9814332612148675,
        4.981452812310767,
        4.981472363406666,
        4.9814919145025645,
        4.981511465598463,
        4.981531016694363,
        4.981550567790261,
        4.98157011888616,
        4.981589193126061,
        4.981608744221961,
        4.98162829531786,
        4.981647846413758,
        4.981667397509658,
        4.981686948605557,
        4.981706499701455,
        4.981726050797355,
        4.9817456018932535,
        4.981765152989152,
        4.981784704085052,
        4.9818042551809505,
        4.981823806276849,
        4.981843357372748,
        4.98186243161265,
        4.981881982708549,
        4.9819015338044474,
        4.981921084900346,
        4.981940635996246,
        4.981960187092144,
        4.981979738188043,
        4.981999289283943,
        4.982018840379841,
        4.98203839147574,
        4.982057465715641,
        4.982077016811541,
        4.98209656790744,
        4.982116119003338,
        4.982135670099238,
        4.9821552211951365,
        4.982174772291035,
        4.9821938465309366,
        4.982213397626836,
        4.982232948722735,
        4.9822524998186335,
        4.982272050914533,
        4.982291602010432,
        4.982310676250333,
        4.982330227346232,
        4.982349778442131,
        4.98236932953803,
        4.982388880633929,
        4.982408431729827,
        4.98242750596973,
        4.982447057065628,
        4.982466608161527,
        4.982486159257426,
        4.982505710353325,
        4.982524784593227,
        4.982544335689125,
        4.982563886785025,
        4.9825834378809235,
        4.982602988976822,
        4.9826220632167235,
        4.982641614312623,
        4.982661165408522,
        4.9826807165044205,
        4.982699790744322,
        4.982719341840221,
        4.98273889293612,
        4.982758444032019,
        4.98277751827192,
        4.98279706936782,
        4.982816620463718,
        4.982836171559617,
        4.982855245799518,
        4.982874796895418,
        4.982894347991317,
        4.982913899087215,
        4.982932973327117,
        4.982952524423016,
        4.982972075518915,
        4.982991149758816,
        4.983010700854715,
        4.983030251950614,
        4.983049803046513,
        4.9830688772864145,
        4.983088428382313,
        4.983107979478213,
        4.983127053718114,
        4.983146604814013,
        4.983166155909911,
        4.983185230149813,
        4.983204781245712,
        4.983224332341611,
        4.983243406581512,
        4.983262957677411,
        4.983282508773311,
        4.983301583013212,
        4.983321134109111,
        4.983340685205009,
        4.9833597594449115,
        4.98337931054081,
        4.983398861636709,
        4.98341793587661,
        4.98343748697251,
        4.9834570380684085,
        4.98347611230831,
        4.9834956634042085,
        4.98351473764411,
        4.983534288740009,
        4.983553839835908,
        4.983572914075809,
        4.983592465171708,
        4.98361153941161,
        4.983631090507509,
        4.983650641603408,
        4.983669715843309,
        4.9836892669392086,
        4.98370834117911,
        4.983727892275009,
        4.983747443370907,
        4.983766517610809,
        4.983786068706708,
        4.9838051429466095,
        4.983824694042508,
        4.983844245138407,
        4.983863319378309,
        4.983882870474208,
        4.983901944714109,
        4.983921495810008,
        4.983940570049909,
        4.983960121145809,
        4.98397919538571,
        4.983998746481609,
        4.98401782072151,
        4.984037371817409,
        4.984056922913308,
        4.98407599715321,
        4.984095548249108,
        4.98411462248901,
        4.984134173584909,
        4.9841532478248105,
        4.984172798920709,
        4.9841918731606105,
        4.984211424256509,
        4.9842304984964105,
        4.98425004959231,
        4.984269123832211,
        4.98428867492811,
        4.9843077491680114,
        4.984327300263911,
        4.984346374503812,
        4.984365925599711,
        4.984384999839612,
        4.984404074079514,
        4.984423625175413,
        4.984442699415315,
        4.984462250511213,
        4.984481324751115,
        4.984500875847013,
        4.984519950086915,
        4.984539501182814,
        4.9845585754227155,
        4.984578126518614,
        4.9845972007585155,
        4.984616274998417,
        4.984635826094316,
        4.984654900334218,
        4.9846744514301164,
        4.984693525670018,
        4.9847130767659165,
        4.984732151005819,
        4.98475122524572,
        4.984770776341619,
        4.98478985058152,
        4.984809401677419,
        4.984828475917321,
        4.984847550157222,
        4.984867101253121,
        4.984886175493022,
        4.984905249732924,
        4.984924800828822,
        4.9849438750687245,
        4.984963426164623,
        4.9849825004045245,
        4.985001574644426,
        4.9850211257403245,
        4.985040199980226,
        4.985059274220128,
        4.985078825316027,
        4.985097899555928,
        4.985116973795829,
        4.985136524891728,
        4.985155599131629,
        4.985174673371532,
        4.98519422446743,
        4.985213298707332,
        4.985232372947233,
        4.985251924043132,
        4.985270998283034,
        4.985290072522935,
        4.985309623618834,
        4.985328697858735,
        4.9853477720986366,
        4.985367323194535,
        4.9853863974344375,
        4.985405471674339,
        4.9854250227702375,
        4.985444097010139,
        4.98546317125004,
        4.9854822454899415,
        4.985501796585841,
        4.985520870825742,
        4.985539945065644,
        4.985559019305545,
        4.985578570401444,
        4.985597644641345,
        4.985616718881246,
        4.985636269977146,
        4.985655344217047,
        4.985674418456949,
        4.98569349269685,
        4.985712566936751,
        4.98573211803265,
        4.985751192272551,
        4.9857702665124535,
        4.985789340752355,
        4.9858088918482535,
        4.985827966088155,
        4.985847040328056,
        4.9858661145679575,
        4.985885665663857,
        4.985904739903758,
        4.98592381414366,
        4.985942888383561,
        4.985961962623462,
        4.985981513719361,
        4.986000587959262,
        4.986019662199165,
        4.986038736439066,
        4.986057810678967,
        4.986076884918869,
        4.986096436014767,
        4.986115510254669,
        4.98613458449457,
        4.986153658734471,
        4.9861727329743735,
        4.986191807214275,
        4.9862113583101735,
        4.986230432550075,
        4.986249506789976,
        4.9862685810298775,
        4.986287655269779,
        4.98630672950968,
        4.986325803749582,
        4.986345354845481,
        4.986364429085382,
        4.986383503325284,
        4.986402577565185,
        4.986421651805086,
        4.986440726044988,
        4.98645980028489,
        4.986478874524791,
        4.98649842562069,
        4.986517499860591,
        4.986536574100493,
        4.986555648340394,
        4.986574722580295,
        4.9865937968201965,
        4.986612871060099,
        4.9866319453,
        4.986651019539901,
        4.986670093779803,
        4.986689168019704,
        4.986708242259605,
        4.986727316499507,
        4.986746867595405,
        4.986765941835308,
        4.986785016075209,
        4.98680409031511,
        4.986823164555012,
        4.986842238794913,
        4.986861313034814,
        4.986880387274716,
        4.986899461514617,
        4.986918535754518,
        4.98693760999442,
        4.986956684234322,
        4.986975758474223,
        4.9869948327141245,
        4.987013906954026,
        4.987032981193927,
        4.9870520554338285,
        4.98707112967373,
        4.987090203913631,
        4.987109278153532,
        4.987128352393435,
        4.987147426633336,
        4.987166500873237,
        4.987185575113139,
        4.98720464935304,
        4.987223723592941,
        4.987242797832843,
        4.987261872072744,
        4.987280946312645,
        4.987300020552547,
        4.987319094792449,
        4.98733816903235,
        4.9873572432722515,
        4.987376317512153,
        4.987395391752054,
        4.9874144659919555,
        4.987433540231857,
        4.987452137615761,
        4.987471211855662,
        4.987490286095563,
        4.987509360335465,
        4.987528434575366,
        4.987547508815268,
        4.98756658305517,
        4.987585657295071,
        4.987604731534972,
        4.987623805774874,
        4.987642880014775,
        4.987661954254676,
        4.98768055163858,
        4.987699625878482,
        4.987718700118383,
        4.987737774358284,
        4.9877568485981865,
        4.987775922838088,
        4.987794997077989,
        4.9878140713178905,
        4.987833145557792,
        4.987851742941696,
        4.987870817181597,
        4.987889891421498,
        4.9879089656614,
        4.987928039901301,
        4.987947114141202,
        4.987966188381104,
        4.987984785765008,
        4.988003860004909,
        4.988022934244811,
        4.988042008484713,
        4.988061082724614,
        4.988080156964515,
        4.988098754348419,
        4.9881178285883205,
        4.988136902828222,
        4.988155977068123,
        4.9881750513080245,
        4.9881936486919285,
        4.98821272293183,
        4.988231797171731,
        4.9882508714116325,
        4.988269945651534,
        4.988288543035438,
        4.988307617275339,
        4.988326691515241,
        4.988345765755143,
        4.988364839995044,
        4.988383437378948,
        4.988402511618849,
        4.988421585858751,
        4.988440660098652,
        4.988459257482556,
        4.988478331722457,
        4.988497405962359,
        4.98851648020226,
        4.988535077586164,
        4.988554151826065,
        4.9885732260659665,
        4.988592300305868,
        4.988610897689772,
        4.988629971929673,
        4.988649046169575,
        4.988668120409477,
        4.988686717793381,
        4.988705792033282,
        4.988724866273183,
        4.988743463657087,
        4.988762537896989,
        4.98878161213689,
        4.988800686376791,
        4.988819283760695,
        4.988838358000597,
        4.988857432240498,
        4.988876029624402,
        4.988895103864303,
        4.988914178104205,
        4.9889327754881085,
        4.98895184972801,
        4.988970923967911,
        4.988989521351815,
        4.9890085955917165,
        4.989027669831618,
        4.989046267215522,
        4.989065341455423,
        4.9890844156953245,
        4.989103013079228,
        4.98912208731913,
        4.989141161559032,
        4.989159758942935,
        4.989178833182837,
        4.989197907422739,
        4.989216504806643,
        4.989235579046544,
        4.989254176430448,
        4.989273250670349,
        4.9892923249102505,
        4.9893109222941545,
        4.989329996534056,
        4.989349070773957,
        4.989367668157861,
        4.9893867423977625,
        4.9894053397816664,
        4.989424414021568,
        4.989443011405472,
        4.989462085645373,
        4.989481159885274,
        4.989499757269178,
        4.98951883150908,
        4.989537428892984,
        4.989556503132885,
        4.989575577372786,
        4.98959417475669,
        4.989613248996592,
        4.989631846380496,
        4.989650920620397,
        4.989669518004301,
        4.989688592244202,
        4.989707189628106,
        4.9897262638680075,
        4.9897448612519115,
        4.989763935491813,
        4.989783009731714,
        4.989801607115618,
        4.9898206813555195,
        4.9898392787394235,
        4.989858352979325,
        4.989876950363229,
        4.98989602460313,
        4.989914621987034,
        4.989933696226935,
        4.989952293610839,
        4.989971367850741,
        4.989989965234645,
        4.990009039474546,
        4.99002763685845,
        4.990046711098351,
        4.990065308482255,
        4.990084382722157,
        4.990102980106061,
        4.990122054345962,
        4.990140651729866,
        4.99015924911377,
        4.990178323353671,
        4.990196920737575,
        4.9902159949774765,
        4.9902345923613805,
        4.990253666601282,
        4.990272263985186,
        4.990291338225087,
        4.990309935608991,
        4.990328532992895,
        4.990347607232796,
        4.9903662046167,
        4.990385278856602,
        4.990403876240506,
        4.990422950480407,
        4.990441547864311,
        4.990460145248215,
        4.990479219488116,
        4.99049781687202,
        4.9905168911119215,
        4.9905354884958255,
        4.9905540858797295,
        4.990573160119631,
        4.990591757503535,
        4.990610831743436,
        4.99062942912734,
        4.990648026511244,
        4.990667100751145,
        4.990685698135049,
        4.990704295518953,
        4.990723369758855,
        4.990741967142759,
        4.99076104138266,
        4.990779638766564,
        4.990798236150468,
        4.990817310390369,
        4.990835907774273,
        4.990854505158176,
        4.9908735793980785,
        4.990892176781982,
        4.990910774165886,
        4.990929848405787,
        4.990948445789691,
        4.990967043173595,
        4.990986117413496,
        4.9910047147974,
        4.991023312181304,
        4.994086396681475,
        4.997599633243317,
        4.9976220454752,
        4.9976439808510875,
        4.997666393082971,
        4.997688805314856,
        4.997710740690742,
        4.997733152922626,
        4.9977555651545105,
        4.997777500530397,
        4.997799912762281,
        4.997822324994165,
        4.99784473722605,
        4.997866672601936,
        4.997889084833821,
        4.997911497065704,
        4.997933432441592,
        4.997955844673475,
        4.99797825690536,
        4.998000192281246,
        4.99802260451313,
        4.998045016745015,
        4.998066952120901,
        4.9980893643527855,
        4.998111776584669,
        4.9981337119605564,
        4.99815612419244,
        4.998178536424325,
        4.998200471800211,
        4.998222884032096,
        4.998244819407982,
        4.998267231639866,
        4.99828964387175,
        4.998311579247637,
        4.998333991479521,
        4.998356403711405,
        4.998378339087292,
        4.998400751319176,
        4.998422686695062,
        4.998445098926947,
        4.998467511158831,
        4.998489446534718,
        4.9985118587666015,
        4.998533794142489,
        4.9985562063743725,
        4.998578141750259,
        4.998600553982143,
        4.998622966214027,
        4.998644901589914,
        4.998667313821798,
        4.998689249197685,
        4.998711661429569,
        4.998733596805455,
        4.99875600903734,
        4.998777944413226,
        4.998800356645111,
        4.998822768876995,
        4.998844704252882,
        4.998867116484766,
        4.998889051860653,
        4.9989114640925365,
        4.998933399468423,
        4.9989558117003074,
        4.998977747076194,
        4.999000159308078,
        4.999022094683965,
        4.999044506915849,
        4.999066442291736,
        4.999088854523619,
        4.999110789899507,
        4.99913320213139,
        4.999155137507278,
        4.999177549739161,
        4.999199485115048,
        4.999221897346932,
        4.999243832722819,
        4.999266244954703,
        4.9992881803305895,
        4.999310115706476,
        4.9993325279383605,
        4.999354463314247,
        4.999376875546131,
        4.999398810922018,
        4.999421223153902,
        4.999443158529789,
        4.999465570761672,
        4.99948750613756,
        4.999509441513446,
        4.999531853745331,
        4.999553789121217,
        4.999576201353101,
        4.999598136728988,
        4.999620072104874,
        4.999642484336759,
        4.999664419712645,
        4.999686831944529,
        4.999708767320416,
        4.9997307026963025,
        4.999753114928187,
        4.999775050304073,
        4.999797462535957,
        4.999819397911844,
        4.999841333287731,
        4.999863745519615,
        4.999885680895502,
        4.999908093127385,
        4.999930028503273,
        4.999951963879159,
        4.999974376111044,
        4.99999631148693,
        5.000018246862816,
        5.000040659094701,
        5.000062594470587,
        5.000084529846474,
        5.000106942078358,
        5.0001288774542445,
        5.000150812830132,
        5.0001732250620154,
        5.000195160437902,
        5.000217095813789,
        5.000239508045673,
        5.00026144342156,
        5.000283378797446,
        5.000305314173333,
        5.000327726405217,
        5.000349661781104,
        5.00037159715699,
        5.000394009388875,
        5.000415944764761,
        5.000437880140647,
        5.0004598155165345,
        5.000482227748418,
        5.0005041631243055,
        5.000526098500192,
        5.0005485107320755,
        5.000570446107963,
        5.000592381483849,
        5.0006143168597355,
        5.00063672909162,
        5.000658664467506,
        5.000680599843394,
        5.00070253521928,
        5.000724947451164,
        5.000746882827051,
        5.000768818202937,
        5.000790753578824,
        5.000812688954711,
        5.000835101186595,
        5.000857036562482,
        5.000878971938368,
        5.0009009073142545,
        5.000922842690141,
        5.0009452549220255,
        5.000967190297912,
        5.000989125673799,
        5.001011061049685,
        5.001032996425572,
        5.001055408657456,
        5.001077344033343,
        5.001099279409229,
        5.001121214785116,
        5.001143150161003,
        5.001165085536889,
        5.001187497768774,
        5.00120943314466,
        5.001231368520547,
        5.0012533038964335,
        5.00127523927232,
        5.001297174648207,
        5.001319586880091,
        5.001341522255977,
        5.001363457631864,
        5.001385393007751,
        5.001407328383637,
        5.001429263759524,
        5.001451199135411,
        5.001473134511297,
        5.001495546743182,
        5.001517482119068,
        5.001539417494954,
        5.001561352870842,
        5.001583288246728,
        5.001605223622614,
        5.0016271589985015,
        5.001649094374388,
        5.001671029750274,
        5.0016929651261615,
        5.001714900502048,
        5.0017373127339315,
        5.001759248109819,
        5.001781183485705,
        5.0018031188615915,
        5.001825054237479,
        5.001846989613365,
        5.001868924989251,
        5.001890860365139,
        5.001912795741025,
        5.001934731116911,
        5.001956666492799,
        5.001978601868685,
        5.002000537244571,
        5.0020224726204585,
        5.002044407996345,
        5.002066343372231,
        5.0020882787481185,
        5.002110214124005,
        5.002132149499891,
        5.002154084875778,
        5.002176020251665,
        5.002197955627551,
        5.0022198910034374,
        5.002241826379325,
        5.002263761755211,
        5.002285697131097,
        5.002307632506985,
        5.002329567882871,
        5.002351503258757,
        5.002373438634645,
        5.002395374010531,
        5.0033800816454415,
        5.003402017021329,
        5.003423952397215,
        5.003445410917104,
        5.00346734629299,
        5.003489281668878,
        5.003511217044764,
        5.00353315242065,
        5.003554610940539,
        5.003576546316427,
        5.003598481692313,
        5.003620417068199,
        5.003641875588089,
        5.0036638109639755,
        5.003685746339862,
        5.003707681715748,
        5.003729617091635,
        5.003751075611524,
        5.003773010987411,
        5.003794946363298,
        5.003816881739184,
        5.003838340259073,
        5.00386027563496,
        5.003882211010847,
        5.003903669530736,
        5.003925604906622,
        5.003947540282509,
        5.003969475658396,
        5.003990934178285,
        5.004012869554171,
        5.004034804930058,
        5.0040562634499475,
        5.004078198825834,
        5.00410013420172,
        5.004122069577607,
        5.004143528097496,
        5.004165463473383,
        5.004187398849269,
        5.004208857369158,
        5.004230792745045,
        5.004252728120932,
        5.004274186640821,
        5.004296122016707,
        5.004318057392594,
        5.004339515912483,
        5.00436145128837,
        5.004383386664257,
        5.004404845184146,
        5.004426780560032,
        5.004448239079921,
        5.0044701744558076,
        5.004492109831695,
        5.004513568351584,
        5.00453550372747,
        5.0045574391033565,
        5.004578897623246,
        5.004600832999133,
        5.004622291519022,
        5.004644226894908,
        5.004666162270795,
        5.004687620790684,
        5.004709556166571,
        5.00473101468646,
        5.004752950062347,
        5.004774885438233,
        5.004796343958122,
        5.004818279334009,
        5.004839737853898,
        5.004861673229785,
        5.004883131749674,
        5.00490506712556,
        5.0049270025014465,
        5.004948461021336,
        5.004970396397223,
        5.004991854917112,
        5.005013790292998,
        5.005035248812887,
        5.005057184188774,
        5.005078642708663,
        5.00510057808455,
        5.005122513460437,
        5.005143971980326,
        5.005165907356212,
        5.005187365876101,
        5.005209301251988,
        5.0052307597718775,
        5.005252695147764,
        5.005274153667653,
        5.005296089043539,
        5.005317547563428,
        5.005339482939315,
        5.005360941459204,
        5.005382876835091,
        5.00540433535498,
        5.005426270730867,
        5.005447729250756,
        5.005469664626642,
        5.005491123146531,
        5.00551258166642,
        5.005534517042308,
        5.005555975562197,
        5.005577910938083,
        5.005599369457972,
        5.005621304833858,
        5.005642763353748,
        5.0056646987296345,
        5.0056861572495235,
        5.00570809262541,
        5.005729551145299,
        5.005751009665189,
        5.005772945041075,
        5.005794403560964,
        5.00581633893685,
        5.005837797456739,
        5.005859255976628,
        5.005881191352516,
        5.005902649872405,
        5.005924585248291,
        5.00594604376818,
        5.005967502288069,
        5.005989437663956,
        5.006010896183845,
        5.0060328315597316,
        5.0060542900796206,
        5.0060757485995095,
        5.006097683975397,
        5.006119142495286,
        5.006140601015175,
        5.006162536391061,
        5.00618399491095,
        5.006205930286837,
        5.006227388806726,
        5.006248847326615,
        5.006270782702502,
        5.006292241222391,
        5.006313699742281,
        5.006335635118167,
        5.006357093638056,
        5.006378552157945,
        5.006400487533831,
        5.006421946053721,
        5.00644340457361,
        5.0064653399494965,
        5.0064867984693855,
        5.0065082569892745,
        5.0065297155091635,
        5.006551650885051,
        5.00657310940494,
        5.006594567924829,
        5.006616503300715,
        5.006637961820604,
        5.006659420340493,
        5.006680878860383,
        5.006702814236269,
        5.006724272756158,
        5.006745731276047,
        5.006767666651934,
        5.0067891251718235,
        5.0068105836917125,
        5.0068320422116015,
        5.006853977587488,
        5.006875436107377,
        5.006896894627266,
        5.006918353147155,
        5.006940288523042,
        5.006961747042931,
        5.00698320556282,
        5.007004664082709,
        5.007026122602598,
        5.007048057978485,
        5.007069516498374,
        5.007090975018263,
        5.007112433538152,
        5.007134368914039,
        5.007155827433928,
        5.007177285953817,
        5.0071987444737065,
        5.0072202029935955,
        5.0072416615134845,
        5.007263596889371,
        5.00728505540926,
        5.007306513929149,
        5.007327972449038,
        5.007349430968928,
        5.007371366344814,
        5.007392824864703,
        5.007414283384592,
        5.007435741904481,
        5.00745720042437,
        5.007478658944259,
        5.007500117464149,
        5.007522052840035,
        5.007543511359924,
        5.007564969879813,
        5.007586428399702,
        5.007607886919591,
        5.00762934543948,
        5.00765080395937,
        5.0076727393352565,
        5.0076941978551455,
        5.0077156563750345,
        5.0077371148949235,
        5.0077585734148125,
        5.0077800319347014,
        5.007801490454591,
        5.00782294897448,
        5.007844407494369,
        5.007865866014258,
        5.007887324534147,
        5.007909259910034,
        5.007930718429923,
        5.0079521769498125,
        5.0079736354697015,
        5.0079950939895905,
        5.0080165525094795,
        5.0080380110293685,
        5.0080594695492575,
        5.0080809280691465,
        5.0081023865890355,
        5.008123845108925,
        5.008145303628814,
        5.008166762148703,
        5.008188220668592,
        5.008209679188481,
        5.00823113770837,
        5.008252596228259,
        5.008274054748148,
        5.008295513268037,
        5.008316971787927,
        5.008338430307816,
        5.008359888827705,
        5.008381347347594,
        5.008402805867483,
        5.008424264387372,
        5.008445722907261,
        5.00846718142715,
        5.008488639947039,
        5.008510098466929,
        5.008531556986818,
        5.008553015506707,
        5.008574474026596,
        5.008595932546485,
        5.008617391066374,
        5.008638849586263,
        5.008660308106152,
        5.008681766626042,
        5.008703225145931,
        5.00872468366582,
        5.008746142185709,
        5.008767600705598,
        5.008789059225487,
        5.008810517745376,
        5.008831976265265,
        5.008853434785154,
        5.0088744164490455,
        5.0088958749689345,
        5.008917333488824,
        5.008938792008713,
        5.008960250528602,
        5.008981709048491,
        5.00900316756838,
        5.009024626088269,
        5.009046084608158,
        5.009067543128047,
        5.009089001647937,
        5.009109983311828,
        5.009131441831718,
        5.009152900351607,
        5.009174358871496,
        5.009195817391385,
        5.009217275911274,
        5.009238734431163,
        5.0092597160950545,
        5.0092811746149435,
        5.0093026331348325,
        5.0093240916547215,
        5.0093455501746105,
        5.0093670086945,
        5.009388467214389,
        5.009409448878281,
        5.00943090739817,
        5.009452365918059,
        5.009473824437948,
        5.009495282957837,
        5.009516741477726,
        5.009537723141618,
        5.009559181661507,
        5.009580640181396,
        5.009602098701285,
        5.0096235572211745,
        5.009644538885066,
        5.009665997404955,
        5.009687455924844,
        5.009708914444733,
        5.009729896108625,
        5.009751354628514,
        5.009772813148403,
        5.009794271668292,
        5.009815730188181,
        5.009836711852072,
        5.009858170371961,
        5.00987962889185,
        5.009901087411739,
        5.009922069075631,
        5.009943527595521,
        5.00996498611541,
        5.009986444635299,
        5.0100074262991905,
        5.0100288848190795,
        5.0100503433389685,
        5.0100718018588575,
        5.010092783522749,
        5.010114242042638,
        5.010135700562527,
        5.010156682226419,
        5.010178140746308,
        5.010199599266197,
        5.010221057786086,
        5.010242039449977,
        5.010263497969866,
        5.010284956489756,
        5.010305938153647,
        5.010327396673537,
        5.010348855193426,
        5.0103698368573175,
        5.0103912953772065,
        5.0104127538970955,
        5.010433735560987,
        5.010455194080876,
        5.010476652600765,
        5.010497634264657,
        5.010519092784546,
        5.010540551304435,
        5.010561532968326,
        5.010582991488215,
        5.010604450008104,
        5.010625431671996,
        5.010646890191885,
        5.010667871855777,
        5.010689330375666,
        5.010710788895555,
        5.010731770559446,
        5.010753229079335,
        5.010774687599225,
        5.010795669263117,
        5.010817127783006,
        5.0108381094468974,
        5.010859567966786,
        5.010881026486675,
        5.010902008150567,
        5.010923466670456,
        5.010944448334348,
        5.010965906854237,
        5.010986888518128,
        5.011008347038017,
        5.011029805557906,
        5.011050787221798,
        5.011072245741687,
        5.011093227405579,
        5.011114685925468,
        5.011135667589359,
        5.011157126109248,
        5.01117810777314,
        5.011199566293029,
        5.011221024812918,
        5.0112420064768095,
        5.0112634649966985,
        5.01128444666059,
        5.011305905180479,
        5.011326886844371,
        5.01134834536426,
        5.011369327028151,
        5.01139078554804,
        5.011411767211932,
        5.011433225731821,
        5.011454207395713,
        5.011475665915602,
        5.011496647579493,
        5.011518106099382,
        5.011539087763274,
        5.011560546283163,
        5.011581527947055,
        5.011602986466944,
        5.011623968130835,
        5.011645426650724,
        5.011666408314616,
        5.0116873899785075,
        5.0117088484983965,
        5.011729830162288,
        5.011751288682177,
        5.011772270346069,
        5.011793728865958,
        5.011814710529849,
        5.011836169049739,
        5.01185715071363,
        5.011878132377522,
        5.011899590897411,
        5.011920572561302,
        5.011942031081191,
        5.011963012745083,
        5.011984471264973,
        5.012005452928864,
        5.012026434592755,
        5.012047893112644,
        5.012068874776536,
        5.012090333296425,
        5.0121113149603165,
        5.012132296624208,
        5.012153755144097,
        5.012174736807989,
        5.01219571847188,
        5.012217176991769,
        5.012238158655661,
        5.01225961717555,
        5.012280598839442,
        5.012301580503333,
        5.012323039023222,
        5.012344020687114,
        5.012365002351006,
        5.012386460870895,
        5.012407442534786,
        5.012428424198678,
        5.012449882718567,
        5.0124708643824585,
        5.01249184604635,
        5.012513304566239,
        5.012534286230131,
        5.012555267894022,
        5.012576726413911,
        5.012597708077803,
        5.012618689741695,
        5.012640148261584,
        5.012661129925475,
        5.012682111589367,
        5.012703093253259,
        5.012724551773148,
        5.012745533437039,
        5.012766515100931,
        5.01278797362082,
        5.0128089552847115,
        5.012829936948603,
        5.012850918612495,
        5.012872377132384,
        5.012893358796275,
        5.012914340460167,
        5.012935322124058,
        5.012956780643948,
        5.012977762307838,
        5.01299874397173,
        5.013019725635622,
        5.013041184155511,
        5.013062165819402,
        5.013083147483294,
        5.013104129147186,
        5.013125587667075,
        5.013146569330966,
        5.013167550994858,
        5.0131885326587495,
        5.013209514322641,
        5.01323097284253,
        5.013251954506422,
        5.013272936170313,
        5.013293917834205,
        5.013314899498097,
        5.013336358017986,
        5.013357339681877,
        5.013378321345769,
        5.013399303009661,
        5.013420284673551,
        5.013441743193441,
        5.013462724857332,
        5.013483706521224,
        5.013504688185115,
        5.013525669849007,
        5.013546651512899,
        5.01356763317679,
        5.013589091696679,
        5.013610073360571,
        5.0136310550244625,
        5.013652036688354,
        5.013673018352246,
        5.013694000016137,
        5.013714981680029,
        5.013736440199918,
        5.01375742186381,
        5.013778403527701,
        5.013799385191593,
        5.013820366855484,
        5.013841348519375,
        5.013862330183267,
        5.013883311847159,
        5.01390429351105,
        5.013925752030939,
        5.013946733694831,
        5.0139677153587225,
        5.013988697022614,
        5.014009678686506,
        5.0140306603503975,
        5.014051642014289,
        5.014072623678181,
        5.0140936053420715,
        5.014114587005963,
        5.014135568669855,
        5.014156550333746,
        5.014177531997638,
        5.01419851366153,
        5.014219495325421,
        5.014240476989313,
        5.014261458653205,
        5.014282917173094,
        5.014303898836985,
        5.014324880500877,
        5.0143458621647685,
        5.01436684382866,
        5.014387825492551,
        5.0144088071564425,
        5.014429788820334,
        5.014450770484226,
        5.0144717521481175,
        5.014492733812009,
        5.014513715475901,
        5.014534697139792,
        5.014555678803684,
        5.014576660467576,
        5.014597642131467,
        5.014618623795359,
        5.01463960545925,
        5.014660587123141,
        5.014681091931036,
        5.014702073594927,
        5.014723055258819,
        5.0147440369227105,
        5.014765018586602,
        5.014786000250494,
        5.0148069819143855,
        5.014827963578276,
        5.014848945242168,
        5.0148699269060595,
        5.014890908569951,
        5.014911890233843,
        5.014932871897734,
        5.014953853561626,
        5.014974835225518,
        5.014995816889409,
        5.015016321697303,
        5.015037303361194,
        5.015058285025086,
        5.015079266688978,
        5.015100248352869,
        5.015121230016761,
        5.0151422116806526,
        5.015163193344544,
        5.015184175008436,
        5.015204679816329,
        5.015225661480221,
        5.0152466431441125,
        5.015267624808004,
        5.015288606471896,
        5.015309588135787,
        5.015330569799679,
        5.015351551463571,
        5.015372056271465,
        5.015393037935356,
        5.015414019599247,
        5.015435001263139,
        5.015455982927031,
        5.015476964590922,
        5.015497469398817,
        5.015518451062708,
        5.0155394327266,
        5.0155604143904915,
        5.015581396054383,
        5.015602377718274,
        5.015622882526168,
        5.01564386419006,
        5.0156648458539514,
        5.015685827517843,
        5.015706809181735,
        5.015727313989629,
        5.01574829565352,
        5.015769277317411,
        5.015790258981303,
        5.015810763789197,
        5.015831745453089,
        5.015852727116981,
        5.015873708780872,
        5.015894690444764,
        5.015915195252657,
        5.015936176916549,
        5.0159571585804406,
        5.015978140244332,
        5.0159986450522265,
        5.016019626716118,
        5.01604060838001,
        5.016061113187903,
        5.016082094851795,
        5.016103076515686,
        5.016124058179578,
        5.016144562987472,
        5.016165544651364,
        5.016186526315256,
        5.016207507979146,
        5.016228012787041,
        5.016248994450932,
        5.016269976114824,
        5.016290480922718,
        5.01631146258661,
        5.0163324442505015,
        5.016352949058395,
        5.0163739307222865,
        5.016394912386178,
        5.0164154171940725,
        5.016436398857964,
        5.016457380521856,
        5.016477885329749,
        5.016498866993641,
        5.016519848657532,
        5.016540353465427,
        5.016561335129318,
        5.01658231679321,
        5.016602821601103,
        5.016623803264995,
        5.016665289736781,
        5.016686271400673,
        5.016707253064564,
        5.0175999274919505,
        5.017620909155842,
        5.017662395627628,
        5.0176829004355215,
        5.017703882099413,
        5.017765873379092,
        5.018687397594331,
        5.0220599616369,
        5.022080466444794,
        5.022100494396691,
        5.022120999204585,
        5.022141504012478,
        5.022182036772269,
        5.022202541580163,
        5.02222256953206,
        5.022243074339953,
        5.022263579147848,
        5.022284083955742,
        5.022304111907638,
        5.022324616715532,
        5.0223451215234265,
        5.0223651494753225,
        5.022385654283217,
        5.022406159091111,
        5.022426187043007,
        5.022446691850901,
        5.022467196658796,
        5.022487224610692,
        5.022507729418586,
        5.02252823422648,
        5.022548262178376,
        5.022568766986271,
        5.022588794938167,
        5.022609299746061,
        5.022629804553955,
        5.022649832505851,
        5.022670337313746,
        5.02269084212164,
        5.022710870073536,
        5.02273137488143,
        5.022751402833326,
        5.0227719076412205,
        5.022792412449115,
        5.022812440401011,
        5.022832945208905,
        5.022852973160802,
        5.022873477968695,
        5.02289398277659,
        5.022914010728486,
        5.02293451553638,
        5.022954543488277,
        5.02297504829617,
        5.022995076248067,
        5.023015581055962,
        5.023036085863855,
        5.023056113815752,
        5.023076618623646,
        5.023096646575542,
        5.0231171513834365,
        5.0231371793353325,
        5.023157684143227,
        5.023177712095123,
        5.023198216903017,
        5.023218244854914,
        5.0232387496628075,
        5.023258777614704,
        5.023279282422599,
        5.023299310374495,
        5.023319815182389,
        5.023339843134285,
        5.023360347942179,
        5.023380375894076,
        5.02340088070197,
        5.023420908653867,
        5.02344141346176,
        5.023461441413657,
        5.023481946221551,
        5.023501974173447,
        5.0235224789813415,
        5.023542506933238,
        5.023563011741132,
        5.023583039693029,
        5.023603544500922,
        5.023623572452819,
        5.023644077260713,
        5.023664105212609,
        5.023684610020504,
        5.0237046379724,
        5.023724665924297,
        5.023745170732191,
        5.023765198684087,
        5.023785703491981,
        5.023805731443877,
        5.023826236251772,
        5.023846264203668,
        5.023866292155565,
        5.023886796963459,
        5.023906824915355,
        5.023927329723249,
        5.023947357675145,
        5.023967385627042,
        5.023987890434936,
        5.0240079183868325,
        5.024028423194727,
        5.024048451146623,
        5.02406847909852,
        5.024088983906414,
        5.02410901185831,
        5.024129039810207,
        5.0241495446181,
        5.024169572569997,
        5.024190077377892,
        5.024210105329788,
        5.0242301332816846,
        5.024250638089578,
        5.024270666041475,
        5.024290693993371,
        5.024311198801265,
        5.024331226753161,
        5.024351254705058,
        5.0243717595129525,
        5.0243917874648485,
        5.024411815416745,
        5.024432320224639,
        5.024452348176536,
        5.024472376128432,
        5.024492880936326,
        5.024512908888223,
        5.024532936840119,
        5.024552964792016,
        5.024573469599909,
        5.024593497551806,
        5.024613525503702,
        5.024634030311597,
        5.0246540582634935,
        5.02467408621539,
        5.0246941141672865,
        5.02471461897518,
        5.024734646927077,
        5.024754674878973,
        5.024775179686867,
        5.024795207638764,
        5.02481523559066,
        5.024835263542557,
        5.0248557683504504,
        5.024875796302347,
        5.024895824254243,
        5.02491585220614,
        5.024935880158036,
        5.024956384965931,
        5.024976412917828,
        5.024996440869724,
        5.025016468821621,
        5.025036973629514,
        5.025057001581411,
        5.025077029533307,
        5.025097057485204,
        5.0251170854371,
        5.025137590244994,
        5.025157618196891,
        5.025177646148787,
        5.025197674100684,
        5.02521770205258,
        5.025238206860474,
        5.02525823481237,
        5.025278262764267,
        5.025298290716163,
        5.02531831866806,
        5.025338346619956,
        5.025358851427851,
        5.025378879379748,
        5.025398907331644,
        5.0254189352835406,
        5.025438963235437,
        5.0254589911873335,
        5.02547901913923,
        5.025499523947124,
        5.02551955189902,
        5.025539579850917,
        5.025559607802813,
        5.02557963575471,
        5.025599663706606,
        5.025619691658503,
        5.025639719610399,
        5.025660224418293,
        5.02568025237019,
        5.025700280322086,
        5.025720308273983,
        5.025740336225879,
        5.025760364177776,
        5.025780392129672,
        5.025800420081569,
        5.025820448033465,
        5.025840475985362,
        5.025860503937258,
        5.025880531889155,
        5.025901036697048,
        5.025921064648945,
        5.025941092600841,
        5.025961120552738,
        5.025981148504634,
        5.026001176456531,
        5.026021204408427,
        5.026041232360324,
        5.02606126031222,
        5.026081288264117,
        5.026101316216013,
        5.02612134416791,
        5.026141372119806,
        5.026161400071703,
        5.026181428023599,
        5.026201455975496,
        5.026221483927392,
        5.026241511879289,
        5.026261539831185,
        5.026281567783082,
        5.026301595734979,
        5.026321623686875,
        5.026341651638772,
        5.026361679590668,
        5.026381707542565,
        5.026401735494461,
        5.026421763446358,
        5.026441791398254,
        5.026461819350151,
        5.026481847302047,
        5.026501875253944,
        5.02652190320584,
        5.026541931157737,
        5.026561959109633,
        5.02658198706153,
        5.026602015013426,
        5.026622042965323,
        5.026642070917219,
        5.026661622013117,
        5.026681649965014,
        5.02670167791691,
        5.026721705868807,
        5.026741733820703,
        5.0267617617726,
        5.026781789724496,
        5.026801817676393,
        5.02682184562829,
        5.026841873580186,
        5.026861901532083,
        5.026881452627982,
        5.026901480579878,
        5.026921508531775,
        5.026941536483671,
        5.026961564435568,
        5.026981592387464,
        5.027001620339361,
        5.027021648291257,
        5.027041676243154,
        5.027061227339052,
        5.027081255290949,
        5.027101283242845,
        5.027121311194742,
        5.027141339146638,
        5.027161367098535,
        5.027181395050431,
        5.027200946146331,
        5.027220974098227,
        5.027241002050124,
        5.02726103000202,
        5.027281057953917,
        5.027301085905813,
        5.027320637001711,
        5.027340664953608,
        5.027360692905504,
        5.027380720857401,
        5.027400748809297,
        5.027420299905197,
        5.027440327857093,
        5.02746035580899,
        5.027480383760886,
        5.027500411712783,
        5.0275199628086815,
        5.0275399907605784,
        5.0275600187124745,
        5.027580046664371,
        5.02759959776027,
        5.027619625712166,
        5.027639653664063,
        5.027659681615959,
        5.027679709567856,
        5.027699260663755,
        5.027719288615652,
        5.027739316567548,
        5.027758867663447,
        5.027778895615343,
        5.02779892356724,
        5.027818951519136,
        5.027838502615035,
        5.027858530566932,
        5.027878558518828,
        5.027898586470725,
        5.0279181375666235,
        5.0279381655185205,
        5.0279581934704165,
        5.027977744566316,
        5.027997772518212,
        5.028017800470109,
        5.028037828422005,
        5.028057379517904,
        5.028077407469801,
        5.028097435421697,
        5.028116986517596,
        5.028137014469492,
        5.028157042421389,
        5.028176593517288,
        5.028196621469185,
        5.028216649421081,
        5.02823620051698,
        5.0282562284688765,
        5.028276256420773,
        5.028295807516672,
        5.028315835468568,
        5.028335863420465,
        5.02837544246826,
        5.028394993564159,
        5.0284150215160555,
        5.028435049467952,
        5.029144849620284,
        5.030450719769535,
        5.030470747721432,
        5.03049029881733,
        5.030509849913229,
        5.030529877865126,
        5.030549428961025,
        5.030568980056923,
        5.030588531152823,
        5.030608559104719,
        5.030628110200618,
        5.030647661296517,
        5.030667212392416,
        5.030686763488315,
        5.0307067914402115,
        5.03072634253611,
        5.030745893632009,
        5.030765444727908,
        5.0307854726798045,
        5.030805023775704,
        5.030824574871603,
        5.030844125967501,
        5.030863677063401,
        5.030883705015297,
        5.030903256111196,
        5.030922807207095,
        5.030942358302994,
        5.030961909398893,
        5.03098193735079,
        5.031001488446688,
        5.031021039542587,
        5.0310405906384865,
        5.031060141734385,
        5.031079692830284,
        5.031099720782181,
        5.0311192718780795,
        5.031138822973978,
        5.031158374069878,
        5.031177925165776,
        5.031197476261675,
        5.031217027357575,
        5.031237055309471,
        5.031256606405369,
        5.031276157501269,
        5.031295708597168,
        5.031315259693066,
        5.031334810788966,
        5.031354361884865,
        5.031373912980763,
        5.03139394093266,
        5.031413492028559,
        5.031433043124458,
        5.031452594220357,
        5.031472145316256,
        5.0314916964121545,
        5.031511247508054,
        5.031530798603953,
        5.0315503496998515,
        5.031569900795751,
        5.03158945189165,
        5.031609479843546,
        5.031629030939445,
        5.031648582035344,
        5.031668133131243,
        5.031687684227142,
        5.031707235323041,
        5.03172678641894,
        5.031746337514838,
        5.031765888610738,
        5.031785439706637,
        5.031804990802535,
        5.031824541898435,
        5.0318440929943336,
        5.031863644090232,
        5.031883195186132,
        5.0319027462820305,
        5.031922297377929,
        5.031941848473829,
        5.031961399569727,
        5.031980950665626,
        5.032000501761525,
        5.032020052857424,
        5.032039603953323,
        5.032059155049222,
        5.032078706145121,
        5.03209825724102,
        5.032117808336919,
        5.032137359432818,
        5.032156910528717,
        5.032176461624616,
        5.032196012720514,
        5.032215563816414,
        5.032235114912313,
        5.032254666008211,
        5.032274217104111,
        5.0322937682000095,
        5.032313319295908,
        5.032332870391808,
        5.0323524214877065,
        5.032371972583605,
        5.0323910468235065,
        5.032410597919406,
        5.032430149015305,
        5.032449700111203,
        5.032469251207103,
        5.032488802303002,
        5.0325083533989,
        5.032527904494799,
        5.032547455590699,
        5.032567006686597,
        5.032586557782496,
        5.0326061088783955,
        5.032625183118297,
        5.032644734214196,
        5.032664285310094,
        5.032683836405994,
        5.0327033875018925,
        5.032722938597791,
        5.032742489693691,
        5.032762040789589,
        5.032781115029491,
        5.0328006661253895,
        5.032820217221289,
        5.032839768317188,
        5.032859319413086,
        5.032878870508986,
        5.032897944748887,
        5.032917495844786,
        5.032937046940685,
        5.032956598036584,
        5.032976149132483,
        5.032995700228382,
        5.033014774468283,
        5.0330343255641825,
        5.033053876660081,
        5.03307342775598,
        5.0330929788518795,
        5.033112529947778,
        5.0331316041876795,
        5.033151155283578,
        5.033170706379478,
        5.033190257475376,
        5.033209808571275,
        5.033228882811176,
        5.033248433907076,
        5.033267985002975,
        5.033287536098873,
        5.033306610338775,
        5.033326161434674,
        5.033345712530573,
        5.033365263626472,
        5.033384337866373,
        5.0334038889622725,
        5.033423440058171,
        5.03344299115407,
        5.033462065393971,
        5.033481616489871,
        5.0335011675857695,
        5.033520718681668,
        5.0335397929215695,
        5.033559344017469,
        5.033578895113368,
        5.033598446209266,
        5.033617520449168,
        5.033637071545067,
        5.033656622640966,
        5.033675696880867,
        5.033695247976766,
        5.033714799072666,
        5.033733873312567,
        5.033753424408466,
        5.033772975504364,
        5.033792526600264,
        5.033811600840165,
        5.033831151936064,
        5.033850703031963,
        5.033869777271865,
        5.0338893283677635,
        5.033908879463662,
        5.0339279537035635,
        5.033947504799463,
        5.033967055895362,
        5.033986130135263,
        5.034005681231162,
        5.034024755471063,
        5.034044306566963,
        5.034063857662861,
        5.034082931902763,
        5.034102482998661,
        5.034122034094561,
        5.034141108334462,
        5.034160659430361,
        5.034179733670262,
        5.034199284766161,
        5.0342188358620605,
        5.034237910101962,
        5.0342574611978606,
        5.034276535437762,
        5.0342960865336615,
        5.03431563762956,
        5.0343347118694615,
        5.03435426296536,
        5.0343733372052615,
        5.034392888301161,
        5.03441243939706,
        5.034431513636961,
        5.03445106473286,
        5.034470138972762,
        5.034489690068661,
        5.034508764308562,
        5.034528315404461,
        5.03454786650036,
        5.034566940740262,
        5.03458649183616,
        5.034605566076062,
        5.03462511717196,
        5.034644191411862,
        5.034663742507761,
        5.0346828167476625,
        5.034702367843561,
        5.0347214420834625,
        5.034740993179362,
        5.034760067419263,
        5.034779618515162,
        5.034798692755063,
        5.034818243850962,
        5.034837318090864,
        5.034856869186763,
        5.034875943426664,
        5.034895494522563,
        5.034914568762464,
        5.034934119858364,
        5.034953194098265,
        5.034972745194164,
        5.034991819434065,
        5.035011370529964,
        5.035030444769866,
        5.035049995865765,
        5.035069070105666,
        5.0350881443455675,
        5.035107695441466,
        5.0351267696813675,
        5.035146320777267,
        5.035165395017168,
        5.035184946113067,
        5.035204020352968,
        5.035223571448868,
        5.035242645688769,
        5.035261719928671,
        5.035281271024569,
        5.035300345264471,
        5.03531989636037,
        5.035338970600272,
        5.035358044840173,
        5.035377595936072,
        5.035396670175973,
        5.035416221271872,
        5.035435295511774,
        5.035454369751675,
        5.035473920847574,
        5.035492995087475,
        5.035512546183374,
        5.035531620423275,
        5.035550694663177,
        5.035570245759076,
        5.035589319998977,
        5.035608394238879,
        5.035627945334777,
        5.035647019574679,
        5.035666093814581,
        5.03568564491048,
        5.035704719150381,
        5.03572427024628,
        5.035743344486181,
        5.035762418726083,
        5.035781969821982,
        5.035801044061883,
        5.0358201183017846,
        5.035839192541686,
        5.035858743637585,
        5.035877817877487,
        5.035896892117388,
        5.035916443213287,
        5.035935517453188,
        5.0359545916930895,
        5.035974142788988,
        5.03599321702889,
        5.036012291268792,
        5.036031365508693,
        5.036050916604592,
        5.036069990844493,
        5.036089065084394,
        5.036108616180294,
        5.036127690420195,
        5.036146764660097,
        5.036165838899998,
        5.036185389995897,
        5.036204464235798,
        5.036223538475699,
        5.0362426127156015,
        5.0362621638115,
        5.0362812380514015,
        5.036300312291303,
        5.036319386531204,
        5.036338937627103,
        5.036358011867005,
        5.036377086106906,
        5.036396160346808,
        5.036415234586709,
        5.036434785682608,
        5.036453859922509,
        5.03647293416241,
        5.036492008402312,
        5.036511082642214,
        5.036530633738113,
        5.036549707978014,
        5.036568782217915,
        5.036587856457817,
        5.036606930697718,
        5.0366264817936175,
        5.036645556033519,
        5.03666463027342,
        5.0366837045133215,
        5.036702778753223,
        5.036721852993124,
        5.036741404089023,
        5.036760478328924,
        5.036779552568826,
        5.036798626808728,
        5.036817701048629,
        5.03683677528853,
        5.036855849528432,
        5.03687540062433,
        5.036894474864232,
        5.036913549104134,
        5.036932623344035,
        5.036951697583937,
        5.036970771823838,
        5.036989846063739,
        5.037008920303641,
        5.037028471399539,
        5.037047545639441,
        5.037066619879343,
        5.037085694119244,
        5.0371047683591454,
        5.037123842599047,
        5.037142916838948,
        5.037161991078849,
        5.037181065318751,
        5.037200139558652,
        5.037219213798553,
        5.037238288038455,
        5.037257839134354,
        5.037276913374256,
        5.037295987614157,
        5.037315061854058,
        5.03733413609396,
        5.037353210333861,
        5.037372284573762,
        5.037391358813664,
        5.037410433053566,
        5.037429507293467,
        5.0374485815333685,
        5.03746765577327,
        5.037486730013171,
        5.0375058042530725,
        5.037524878492974,
        5.037543952732875,
        5.0375630269727765,
        5.037582101212679,
        5.03760117545258,
        5.037620249692481,
        5.037639323932383,
        5.037658398172284,
        5.037677472412185,
        5.037696546652087,
        5.037715620891988,
        5.037734695131889,
        5.037753769371791,
        5.037772843611693,
        5.037791917851594,
        5.0378109920914955,
        5.037830066331397,
        5.037849140571298,
        5.0378682148111995,
        5.037887289051101,
        5.037906363291002,
        5.0379254375309035,
        5.037944511770805,
        5.037963109154709,
        5.03798218339461,
        5.038001257634512,
        5.038020331874414,
        5.038039406114315,
        5.038058480354216,
        5.038077554594118,
        5.038096628834019,
        5.03811570307392,
        5.038134777313822,
        5.038153851553723,
        5.038172925793625,
        5.038191523177528,
        5.0382105974174305,
        5.038229671657332,
        5.038248745897233,
        5.0382678201371345,
        5.038286894377036,
        5.038305968616937,
        5.0383250428568385,
        5.038343640240742,
        5.038362714480644,
        5.038381788720545,
        5.038400862960446,
        5.038419937200348,
        5.03843901144025,
        5.038458085680151,
        5.038476683064055,
        5.038495757303957,
        5.038514831543858,
        5.038533905783759,
        5.038552980023661,
        5.038572054263562,
        5.038590651647466,
        5.038609725887367,
        5.0386288001272685,
        5.03864787436717,
        5.038666948607071,
        5.0386860228469725,
        5.0387046202308765,
        5.038723694470778,
        5.03874276871068,
        5.038761842950581,
        5.038780440334485,
        5.038799514574387,
        5.038818588814288,
        5.038837663054189,
        5.038856737294091,
        5.038875334677995,
        5.038894408917896,
        5.038913483157797,
        5.038932557397699,
        5.038951154781603,
        5.038970229021504,
        5.038989303261405,
        5.039008377501307,
        5.039026974885211,
        5.039046049125112,
        5.039065123365014,
        5.039084197604915,
        5.039102794988819,
        5.039121869228721,
        5.039140943468622,
        5.039160017708523,
        5.039178615092427,
        5.039197689332329,
        5.03921676357223,
        5.039235360956134,
        5.039254435196035,
        5.039273509435937,
        5.039292106819841,
        5.039311181059742,
        5.039330255299643,
        5.042588850758802,
        5.046415858567023,
        5.046438270798908,
        5.046460683030792,
        5.046483572118674,
        5.046505984350557,
        5.046528396582442,
        5.046550808814326,
        5.04657322104621,
        5.046595633278095,
        5.0466180455099785,
        5.0466409345978605,
        5.046663346829744,
        5.046685759061629,
        5.0467081712935125,
        5.046730583525397,
        5.046752995757281,
        5.046775407989165,
        5.046798297077047,
        5.046820709308931,
        5.046843121540816,
        5.046865533772699,
        5.046887946004584,
        5.046910358236468,
        5.046932770468352,
        5.046955182700236,
        5.0469775949321205,
        5.047000007164004,
        5.047022419395889,
        5.047045308483771,
        5.0470677207156545,
        5.047090132947539,
        5.047112545179423,
        5.047134957411307,
        5.047157369643191,
        5.047179781875076,
        5.047202194106959,
        5.047224606338844,
        5.047247018570728,
        5.047269430802612,
        5.047291843034496,
        5.047314255266381,
        5.047336667498264,
        5.047359079730149,
        5.047381491962033,
        5.047403904193917,
        5.047426316425801,
        5.0474487286576855,
        5.047471140889569,
        5.047493553121454,
        5.0475159653533375,
        5.047538377585222,
        5.047560789817107,
        5.04758320204899,
        5.047605614280875,
        5.047628026512759,
        5.047650438744643,
        5.047672850976527,
        5.0476952632084116,
        5.047717675440295,
        5.04774008767218,
        5.047762499904064,
        5.047784912135948,
        5.047807324367832,
        5.0478297365997165,
        5.0478521488316,
        5.047874561063485,
        5.0478969732953685,
        5.047919385527253,
        5.047941797759137,
        5.047964209991021,
        5.047986622222905,
        5.04800903445479,
        5.048031446686673,
        5.048053858918558,
        5.048075794294444,
        5.048098206526329,
        5.048120618758213,
        5.048143030990097,
        5.048165443221981,
        5.0481878554538655,
        5.048210267685749,
        5.048232679917634,
        5.0482550921495175,
        5.048277504381402,
        5.048299916613287,
        5.048321851989173,
        5.048344264221057,
        5.048366676452941,
        5.048389088684825,
        5.04841150091671,
        5.048433913148593,
        5.048456325380478,
        5.048478260756364,
        5.048500672988249,
        5.048523085220133,
        5.048545497452017,
        5.048567909683901,
        5.0485903219157855,
        5.048612734147669,
        5.048634669523556,
        5.04865708175544,
        5.048679493987325,
        5.0487019062192084,
        5.048724318451093,
        5.048746730682977,
        5.048768666058864,
        5.048791078290748,
        5.048813490522632,
        5.048835902754516,
        5.048858314986401,
        5.048880250362287,
        5.0489026625941715,
        5.048925074826055,
        5.04894748705794,
        5.0489698992898235,
        5.04899183466571,
        5.0490142468975945,
        5.049036659129478,
        5.049059071361363,
        5.049081006737249,
        5.049103418969134,
        5.049125831201017,
        5.049148243432902,
        5.049170178808788,
        5.049192591040673,
        5.049215003272557,
        5.049237415504441,
        5.049259350880328,
        5.049281763112212,
        5.049304175344096,
        5.0493265875759805,
        5.049348522951867,
        5.049370935183751,
        5.049393347415635,
        5.0494152827915215,
        5.049437695023406,
        5.04946010725529,
        5.049482519487174,
        5.049504454863061,
        5.049526867094945,
        5.049549279326829,
        5.049571214702716,
        5.0495936269346,
        5.049616039166485,
        5.049637974542371,
        5.049660386774255,
        5.049682799006139,
        5.049704734382026,
        5.04972714661391,
        5.049749558845794,
        5.049771494221681,
        5.049793906453565,
        5.0498163186854494,
        5.049838254061336,
        5.04986066629322,
        5.049883078525104,
        5.0499050139009904,
        5.049927426132875,
        5.049949838364759,
        5.049971773740646,
        5.04999418597253,
        5.050016598204414,
        5.050038533580301,
        5.050060945812185,
        5.050082881188072,
        5.050105293419955,
        5.05012770565184,
        5.050149641027726,
        5.050172053259611,
        5.050193988635497,
        5.050216400867382,
        5.0502388130992655,
        5.050260748475152,
        5.050283160707036,
        5.050305096082923,
        5.050327508314807,
        5.050349443690694,
        5.050371855922578,
        5.050394268154462,
        5.050416203530349,
        5.050438615762233,
        5.050460551138119,
        5.050482963370004,
        5.05050489874589,
        5.050527310977775,
        5.050549246353661,
        5.050571658585546,
        5.0505940708174295,
        5.050616006193316,
        5.0506384184252004,
        5.050660353801087,
        5.050682766032971,
        5.050704701408858,
        5.050727113640742,
        5.050749049016629,
        5.050771461248512,
        5.0507933966244,
        5.050815808856283,
        5.050837744232171,
        5.050860156464054,
        5.050882091839941,
        5.050904504071825,
        5.050926439447712,
        5.050948851679596,
        5.0509707870554825,
        5.050993199287367,
        5.0510151346632535,
        5.05103707003914,
        5.051059482271024,
        5.051081417646911,
        5.051103829878795,
        5.051125765254682,
        5.051148177486565,
        5.051170112862453,
        5.051192525094336,
        5.051214460470224,
        5.05123639584611,
        5.051258808077994,
        5.051280743453881,
        5.051303155685765,
        5.051325091061652,
        5.0513475032935355,
        5.051369438669422,
        5.051391374045309,
        5.051413786277193,
        5.05143572165308,
        5.051458133884964,
        5.05148006926085,
        5.051502004636737,
        5.051524416868621,
        5.051546352244508,
        5.051568764476392,
        5.051590699852278,
        5.051612635228166,
        5.051635047460049,
        5.051656982835937,
        5.051678918211823,
        5.051701330443707,
        5.051723265819594,
        5.051745678051478,
        5.051767613427365,
        5.051789548803251,
        5.051811961035135,
        5.051833896411022,
        5.0518558317869084,
        5.051878244018793,
        5.051900179394679,
        5.051922114770566,
        5.05194452700245,
        5.051966462378337,
        5.051988397754223,
        5.052010809986108,
        5.052032745361994,
        5.052054680737881,
        5.052076616113768,
        5.052099028345651,
        5.0521209637215385,
        5.052142899097425,
        5.0521653113293095,
        5.052187246705196,
        5.052209182081082,
        5.052231117456969,
        5.052253529688853,
        5.0522754650647395,
        5.052297400440627,
        5.05231981267251,
        5.052341748048397,
        5.052363683424284,
        5.05238561880017,
        5.052408031032055,
        5.052429966407941,
        5.052451901783828,
        5.052473837159715,
        5.052496249391599,
        5.052518184767485,
        5.052540120143372,
        5.0525620555192585,
        5.052583990895145,
        5.0526064031270295,
        5.052628338502916,
        5.052650273878803,
        5.052672209254689,
        5.052694621486573,
        5.05271655686246,
        5.052738492238347,
        5.052760427614233,
        5.05278236299012,
        5.052804298366007,
        5.052826710597891,
        5.052848645973778,
        5.052870581349664,
        5.05289251672555,
        5.0529144521014375,
        5.052936864333321,
        5.0529587997092085,
        5.052980735085095,
        5.053002670460981,
        5.053024605836868,
        5.053046541212755,
        5.0530689534446385,
        5.053090888820526,
        5.053112824196412,
        5.053134759572298,
        5.053156694948186,
        5.053178630324072,
        5.053200565699958,
        5.053222501075846,
        5.053244913307729,
        5.053266848683616,
        5.053288784059503,
        5.053310719435389,
        5.053332654811276,
        5.053354590187163,
        5.053376525563049,
        5.0533984609389355,
        5.053420396314823,
        5.053442331690709,
        5.053464743922594,
        5.05348667929848,
        5.053508614674366,
        5.053530550050254,
        5.05355248542614,
        5.053574420802026,
        5.053596356177913,
        5.0536182915538,
        5.053640226929686,
        5.053662162305573,
        5.05368409768146,
        5.053706033057346,
        5.053727968433233,
        5.05374990380912,
        5.053771839185006,
        5.0537937745608925,
        5.05381570993678,
        5.0538381221686635,
        5.05386005754455,
        5.053881992920437,
        5.053903928296323,
        5.05392586367221,
        5.053947799048097,
        5.053969734423983,
        5.05399166979987,
        5.054013605175757,
        5.054035540551643,
        5.05405747592753,
        5.054079411303417,
        5.054101346679303,
        5.05412328205519,
        5.054145217431077,
        5.054167152806963,
        5.054188611326852,
        5.0542105467027385,
        5.054232482078626,
        5.054254417454512,
        5.0542763528303984,
        5.054298288206286,
        5.054320223582172,
        5.054342158958058,
        5.054364094333946,
        5.054386029709832,
        5.054407965085718,
        5.054429900461606,
        5.054451835837492,
        5.054473771213378,
        5.0544957065892655,
        5.054517641965152,
        5.054539577341038,
        5.054561035860927,
        5.054582971236814,
        5.054604906612701,
        5.054626841988587,
        5.054648777364474,
        5.054670712740361,
        5.054692648116247,
        5.054714583492133,
        5.054736518868021,
        5.054758454243907,
        5.054779912763796,
        5.054801848139683,
        5.05482378351557,
        5.054845718891456,
        5.054867654267343,
        5.0548895896432295,
        5.054911525019116,
        5.054932983539005,
        5.054954918914892,
        5.0549768542907785,
        5.054998789666665,
        5.055020725042552,
        5.055042660418438,
        5.055064595794325,
        5.055086054314214,
        5.055107989690101,
        5.055129925065987,
        5.055151860441874,
        5.055173795817761,
        5.05519525433765,
        5.055217189713536,
        5.055239125089423,
        5.05526106046531,
        5.055282995841196,
        5.055304931217083,
        5.055326389736972,
        5.055348325112859,
        5.055370260488745,
        5.0553921958646315,
        5.0554136543845205,
        5.055435589760408,
        5.055457525136294,
        5.0554794605121804,
        5.055501395888068,
        5.055522854407957,
        5.055544789783843,
        5.055566725159729,
        5.055588660535617,
        5.055610119055506,
        5.055632054431392,
        5.055653989807279,
        5.0556759251831656,
        5.0556973837030545,
        5.055719319078941,
        5.055741254454828,
        5.055762712974717,
        5.0557846483506035,
        5.05580658372649,
        5.055828519102377,
        5.055849977622266,
        5.055871912998152,
        5.055893848374039,
        5.055915306893929,
        5.055937242269815,
        5.055959177645701,
        5.05598063616559,
        5.056002571541478,
        5.056024506917364,
        5.05604644229325,
        5.056067900813139,
        5.0560898361890265,
        5.056111771564913,
        5.056133230084802,
        5.056155165460688,
        5.0561771008365755,
        5.0561985593564645,
        5.056220494732351,
        5.05624195325224,
        5.056263888628127,
        5.056285824004013,
        5.056307282523902,
        5.056329217899789,
        5.056351153275676,
        5.056372611795565,
        5.056394547171451,
        5.056416482547338,
        5.0564379410672275,
        5.056459876443114,
        5.056481334963003,
        5.056503270338889,
        5.0565252057147765,
        5.0565466642346655,
        5.056568599610552,
        5.056590058130441,
        5.056611993506328,
        5.056633928882214,
        5.056655387402103,
        5.05667732277799,
        5.056698781297879,
        5.056720716673766,
        5.056742175193655,
        5.056764110569541,
        5.056786045945428,
        5.056807504465318,
        5.056829439841204,
        5.056850898361093,
        5.056872833736979,
        5.056894292256868,
        5.0569162276327555,
        5.0569376861526445,
        5.056959621528531,
        5.05698108004842,
        5.057003015424307,
        5.057024473944196,
        5.057046409320082,
        5.057068344695969,
        5.057089803215858,
        5.057111738591745,
        5.057133197111634,
        5.05715513248752,
        5.057176591007409,
        5.057198526383297,
        5.057219984903186,
        5.057241920279072,
        5.057263378798961,
        5.05728483731885,
        5.057306772694737,
        5.057328231214626,
        5.0573501665905125,
        5.0573716251104015,
        5.057393560486289,
        5.057415019006178,
        5.057436954382064,
        5.057458412901953,
        5.057480348277839,
        5.057501806797729,
        5.057523742173616,
        5.057545200693505,
        5.057566659213394,
        5.05758859458928,
        5.05761005310917,
        5.057631988485056,
        5.057653447004945,
        5.057675382380832,
        5.057696840900721,
        5.05771829942061,
        5.057740234796497,
        5.057761693316386,
        5.057783628692272,
        5.057805087212161,
        5.05782654573205,
        5.057848481107937,
        5.057869939627826,
        5.057891875003713,
        5.057913333523602,
        5.057934792043491,
        5.057956727419378,
        5.057978185939267,
        5.057999644459156,
        5.058021579835042,
        5.058043038354931,
        5.0580649737308185,
        5.0580864322507075,
        5.0581078907705965,
        5.058129826146483,
        5.058151284666372,
        5.058172743186262,
        5.058194678562148,
        5.058216137082037,
        5.058237595601926,
        5.0582595309778124,
        5.058280989497702,
        5.058302448017591,
        5.058324383393478,
        5.058345841913367,
        5.058367300433256,
        5.058388758953145,
        5.058410694329032,
        5.058432152848921,
        5.05845361136881,
        5.058475546744696,
        5.058497005264585,
        5.058518463784474,
        5.0585403991603615,
        5.0585618576802505,
        5.0585833162001395,
        5.0586047747200285,
        5.058626710095915,
        5.058648168615804,
        5.058669627135694,
        5.058691085655583,
        5.058713021031469,
        5.058734479551358,
        5.058755938071247,
        5.058777396591136,
        5.058799331967023,
        5.058820790486912,
        5.058842249006801,
        5.05886370752669,
        5.058885642902577,
        5.058907101422466,
        5.0589285599423555,
        5.0589500184622445,
        5.0589714769821335,
        5.05899341235802,
        5.059014870877909,
        5.059036329397798,
        5.059057787917688,
        5.059079246437577,
        5.059101181813463,
        5.059122640333352,
        5.059144098853241,
        5.05916555737313,
        5.059187015893019,
        5.059208474412909,
        5.059230409788795,
        5.059251868308684,
        5.059273326828573,
        5.059294785348462,
        5.059316243868351,
        5.05933770238824,
        5.0593596377641274,
        5.059381096284016,
        5.059402554803905,
        5.059424013323794,
        5.059445471843683,
        5.059466930363572,
        5.059488388883461,
        5.059510324259349,
        5.059531782779238,
        5.059553241299127,
        5.059574699819016,
        5.059596158338905,
        5.059617616858794,
        5.059639075378683,
        5.0596605338985725,
        5.0596819924184615,
        5.059703927794348,
        5.059725386314237,
        5.059746844834126,
        5.059768303354015,
        5.059789761873904,
        5.059811220393794,
        5.059832678913683,
        5.059854137433572,
        5.059875595953461,
        5.05989705447335,
        5.059918512993239,
        5.059939971513128,
        5.059961430033017,
        5.059982888552906,
        5.060004347072796,
        5.0600258055926846,
        5.060047740968571,
        5.06006919948846,
        5.060090658008349,
        5.060112116528238,
        5.060133575048128,
        5.060155033568017,
        5.060176492087906,
        5.060648102669468,
        5.060669561189357,
        5.060691019709246,
        5.060712478229135,
        5.060733936749025,
        5.060755395268914,
        5.060776853788803,
        5.060798312308692,
        5.060819770828581,
        5.060840752492473,
        5.0608622110123616,
        5.0608836695322506,
        5.0609051280521395,
        5.0609265865720285,
        5.0609480450919175,
        5.060969503611807,
        5.060990962131696,
        5.061012420651585,
        5.061033879171474,
        5.061054860835366,
        5.061076319355255,
        5.061097777875144,
        5.061119236395033,
        5.061140694914922,
        5.061162153434811,
        5.061183611954701,
        5.061204593618592,
        5.0612260521384815,
        5.0612475106583705,
        5.0612689691782595,
        5.0612904276981485,
        5.0613118862180375,
        5.061332867881929,
        5.061354326401818,
        5.061375784921707,
        5.061397243441596,
        5.061418701961485,
        5.061440160481375,
        5.061461142145266,
        5.061482600665156,
        5.061504059185045,
        5.061525517704934,
        5.061546976224823,
        5.061567957888714,
        5.061589416408603,
        5.061610874928492,
        5.061632333448381,
        5.061653315112273,
        5.061674773632162,
        5.061696232152051,
        5.06171769067194,
        5.06173914919183,
        5.0617601308557205,
        5.06178158937561,
        5.061803047895499,
        5.061824506415388,
        5.06184548807928,
        5.061866946599169,
        5.061888405119058,
        5.061909863638947,
        5.061930845302839,
        5.061952303822728,
        5.061973762342617,
        5.061994744006508,
        5.062016202526397,
        5.062037661046286,
        5.062059119566175,
        5.062080101230067,
        5.062101559749957,
        5.062123018269846,
        5.062143999933737,
        5.062165458453626,
        5.062186916973515,
        5.062207898637407,
        5.062229357157296,
        5.062250815677185,
        5.062271797341077,
        5.062293255860966,
        5.062314714380855,
        5.062335696044746,
        5.062357154564635,
        5.062378613084524,
        5.062399594748416,
        5.062421053268305,
        5.062442511788194,
        5.062463493452086,
        5.062484951971975,
        5.062506410491864,
        5.062527392155755,
        5.062548850675645,
        5.062570309195534,
        5.062591290859426,
        5.062612749379315,
        5.062633731043206,
        5.062655189563095,
        5.062676648082984,
        5.062697629746876,
        5.062719088266765,
        5.062740069930657,
        5.062761528450546,
        5.062782986970435,
        5.062803968634326,
        5.062825427154215,
        5.062846408818107,
        5.062867867337996,
        5.062889325857885,
        5.0629103075217765,
        5.0629317660416655,
        5.062952747705557,
        5.062974206225446,
        5.062995187889338,
        5.063016646409227,
        5.063038104929116,
        5.063059086593007,
        5.063080545112896,
        5.063101526776788,
        5.063122985296677,
        5.063143966960569,
        5.063165425480458,
        5.063186407144349,
        5.063207865664238,
        5.06322884732813,
        5.06325030584802,
        5.063271287511911,
        5.0632927460318005,
        5.063313727695691,
        5.063335186215581,
        5.063356167879472,
        5.063377626399362,
        5.063398608063253,
        5.063420066583142,
        5.063441048247034,
        5.063462506766923,
        5.063483488430815,
        5.063504946950704,
        5.063525928614595,
        5.063547387134484,
        5.063568368798376,
        5.063589827318265,
        5.0636108089821565,
        5.0636322675020455,
        5.063653249165937,
        5.063674230829829,
        5.063695689349718,
        5.0637166710136094,
        5.0637381295334984,
        5.06375911119739,
        5.063780569717279,
        5.063801551381171,
        5.063822533045062,
        5.063843991564951,
        5.063864973228843,
        5.063886431748732,
        5.063907413412624,
        5.063928395076515,
        5.063949853596404,
        5.063970835260296,
        5.063992293780185,
        5.0640132754440765,
        5.064034257107968,
        5.064055715627857,
        5.064076697291749,
        5.064098155811638,
        5.064119137475529,
        5.064140119139421,
        5.06416157765931,
        5.064182559323202,
        5.0642035409870925,
        5.064224999506982,
        5.064245981170873,
        5.064266962834765,
        5.064288421354655,
        5.064309403018545,
        5.064330384682437,
        5.064351843202326,
        5.064372824866218,
        5.064393806530109,
        5.064415265049998,
        5.06443624671389,
        5.064457228377782,
        5.064478686897671,
        5.064499668561562,
        5.064520650225454,
        5.064542108745343,
        5.0645630904092345,
        5.064584072073126,
        5.064605530593015,
        5.064626512256907,
        5.064647493920798,
        5.06466847558469,
        5.064689934104579,
        5.064710915768471,
        5.064731897432362,
        5.064753355952251,
        5.064774337616143,
        5.064795319280035,
        5.064816300943926,
        5.064837759463815,
        5.064858741127707,
        5.0648797227915985,
        5.06490070445549,
        5.064922162975379,
        5.064943144639271,
        5.064964126303162,
        5.064985107967053,
        5.065006089630945,
        5.065027548150834,
        5.065048529814725,
        5.065069511478617,
        5.065090493142509,
        5.065111951662398,
        5.065132933326289,
        5.065153914990181,
        5.065174896654073,
        5.065195878317964,
        5.065217336837853,
        5.065238318501745,
        5.0652593001656365,
        5.065280281829528,
        5.06530126349342,
        5.065322245157311,
        5.0653437036772,
        5.065364685341092,
        5.065385667004984,
        5.065406648668875,
        5.065427630332766,
        5.065448611996658,
        5.065470070516547,
        5.065491052180438,
        5.06551203384433,
        5.065533015508222,
        5.065553997172113,
        5.065574978836005,
        5.065595960499897,
        5.065617419019786,
        5.065638400683677,
        5.065659382347569,
        5.0656803640114605,
        5.065701345675352,
        5.065722327339244,
        5.065743309003135,
        5.065764290667026,
        5.065785272330918,
        5.065806253994809,
        5.065827712514698,
        5.06584869417859,
        5.065869675842482,
        5.065890657506373,
        5.065911639170265,
        5.065932620834157,
        5.065953602498048,
        5.06597458416194,
        5.0659955658258315,
        5.066016547489723,
        5.066037529153615,
        5.066058510817506,
        5.066079492481397,
        5.066100474145289,
        5.0661214558091805,
        5.066142437473072,
        5.066163895992961,
        5.066184877656853,
        5.066205859320744,
        5.066226840984636,
        5.066247822648528,
        5.066268804312419,
        5.066289785976311,
        5.066310767640203,
        5.066331749304094,
        5.066352730967985,
        5.066373712631877,
        5.066394694295768,
        5.06641567595966,
        5.0664366576235516,
        5.066457639287443,
        5.066478620951335,
        5.0664996026152265,
        5.066520584279118,
        5.06654156594301,
        5.066562547606901,
        5.066583052414795,
        5.066604034078686,
        5.066625015742578,
        5.06664599740647,
        5.066666979070361,
        5.066687960734253,
        5.066708942398145,
        5.066729924062036,
        5.066750905725928,
        5.066771887389819,
        5.06679286905371,
        5.066813850717602,
        5.066834832381494,
        5.066855814045385,
        5.066876795709277,
        5.0668977773731685,
        5.066918282181063,
        5.066939263844954,
        5.066960245508846,
        5.066981227172737,
        5.067002208836628,
        5.06702319050052,
        5.067044172164412,
        5.067065153828303,
        5.067086135492195,
        5.067106640300089,
        5.067127621963981,
        5.067148603627873,
        5.067169585291763,
        5.067190566955655,
        5.067211548619547,
        5.067232530283438,
        5.0672530350913325,
        5.067274016755224,
        5.067294998419116,
        5.067315980083007,
        5.067336961746899,
        5.06735794341079,
        5.0673789250746815,
        5.067399429882576,
        5.067420411546467,
        5.067441393210359,
        5.067462374874251,
        5.067483356538142,
        5.067503861346036,
        5.067524843009927,
        5.067545824673819,
        5.067566806337711,
        5.067587788001602,
        5.0676082928094965,
        5.067629274473388,
        5.06765025613728,
        5.0676712378011715,
        5.067692219465062,
        5.0677127242729565,
        5.067733705936848,
        5.06775468760074,
        5.067775669264631,
        5.067796174072526,
        5.067817155736417,
        5.067838137400308,
        5.0678591190642,
        5.067879623872094,
        5.067900605535986,
        5.067921587199877,
        5.067942568863769,
        5.067963073671663,
        5.067984055335554,
        5.068005036999446,
        5.068026018663337,
        5.0680465234712315,
        5.068067505135123,
        5.068088486799015,
        5.068108991606909,
        5.0681299732708,
        5.0681509549346915,
        5.068171459742586,
        5.068192441406477,
        5.068213423070369,
        5.068234404734261,
        5.068254909542154,
        5.068275891206046,
        5.068296872869937,
        5.068317377677832,
        5.068338359341723,
        5.068359341005615,
        5.068379845813509,
        5.0684008274774,
        5.068421809141292,
        5.068442313949186,
        5.0684632956130775,
        5.068484277276969,
        5.068504782084863,
        5.068525763748755,
        5.0685462685566485,
        5.06856725022054,
        5.068588231884432,
        5.068608736692326,
        5.068629718356218,
        5.068650700020109,
        5.068671204828003,
        5.068692186491894,
        5.068712691299789,
        5.06873367296368,
        5.068754654627572,
        5.068775159435465,
        5.068796141099357,
        5.068816645907251,
        5.068837627571143,
        5.0688586092350345,
        5.068879114042929,
        5.06890009570682,
        5.068920600514714,
        5.0689415821786055,
        5.0689620869865,
        5.068983068650391,
        5.069004050314283,
        5.069024555122176,
        5.069045536786068,
        5.069066041593962,
        5.069087023257854,
        5.069107528065748,
        5.06912850972964,
        5.069149014537533,
        5.069169996201425,
        5.069190501009319,
        5.069211482673211,
        5.069231987481105,
        5.069252969144996,
        5.06927347395289,
        5.069294455616782,
        5.069314960424676,
        5.069335942088568,
        5.069356446896461,
        5.069377428560353,
        5.069397933368247,
        5.069418915032139,
        5.069439419840033,
        5.069460401503925,
        5.069480906311818,
        5.06950188797571,
        5.069522392783604,
        5.069543374447496,
        5.06956387925539,
        5.069584860919281,
        5.069605365727175,
        5.0696263473910665,
        5.069646852198961,
        5.0696678338628525,
        5.069688338670746,
        5.06970884347864,
        5.069729825142532,
        5.069750329950426,
        5.069771311614318,
        5.069791816422211,
        5.069812798086103,
        5.069833302893997,
        5.069853807701891,
        5.069874789365783,
        5.069895294173676,
        5.069916275837568,
        5.069936780645462,
        5.0699572854533566,
        5.069978267117248,
        5.069998771925142,
        5.070019753589033,
        5.0700402583969275,
        5.070060763204822,
        5.070081744868713,
        5.070102249676607,
        5.070122754484501,
        5.070143736148393,
        5.070164240956287,
        5.07018474576418,
        5.070205727428072,
        5.070226232235966,
        5.070247213899858,
        5.070267718707752,
        5.070288223515646,
        5.070309205179537,
        5.070329709987432,
        5.070350214795326,
        5.0703711964592175,
        5.070391701267111,
        5.070412206075005,
        5.0704327108828995,
        5.070453692546791,
        5.0704741973546845,
        5.070494702162579,
        5.07051568382647,
        5.070536188634365,
        5.070556693442258,
        5.07057767510615,
        5.070598179914044,
        5.070618684721938,
        5.070639189529832,
        5.070660171193723,
        5.070680676001618,
        5.070701180809512,
        5.070722162473404,
        5.070742667281297,
        5.070763172089191,
        5.0707836768970855,
        5.070804658560977,
        5.070825163368871,
        5.070845668176765,
        5.070866172984659,
        5.070887154648551,
        5.070907659456444,
        5.0709281642643385,
        5.070948669072233,
        5.070969173880127,
        5.070990155544018,
        5.071010660351912,
        5.071031165159806,
        5.071051669967701,
        5.071072651631591,
        5.071093156439486,
        5.07111366124738,
        5.071134166055274,
        5.071154670863168,
        5.071175175671062,
        5.0711961573349535,
        5.071216662142848,
        5.071237166950741,
        5.0712576717586355,
        5.07127817656653,
        5.071299158230421,
        5.071319663038315,
        5.071340167846209,
        5.071360672654103,
        5.071381177461998,
        5.071401682269891,
        5.071422187077785,
        5.071443168741677,
        5.071463673549571,
        5.071484178357465,
        5.071504683165359,
        5.071525187973253,
        5.071545692781147,
        5.071566197589041,
        5.071587179252933,
        5.071607684060827,
        5.07162818886872,
        5.0716486936766145,
        5.071669198484509,
        5.071689703292403,
        5.0717102081002965,
        5.071730712908191,
        5.071751217716085,
        5.0717717225239785,
        5.07179270418787,
        5.071813208995764,
        5.071833713803659,
        5.071854218611552,
        5.071874723419446,
        5.071895228227341,
        5.071915733035235,
        5.071936237843128,
        5.071956742651023,
        5.071977247458917,
        5.07199775226681,
        5.0720182570747046,
        5.072038761882599,
        5.072059266690493,
        5.0720797714983865,
        5.072100276306281,
        5.072120781114175,
        5.0721412859220685,
        5.072161790729963,
        5.072182295537857,
        5.072202800345751,
        5.072223305153645,
        5.072243809961539,
        5.072264314769433,
        5.072284819577327,
        5.072305324385221,
        5.072325829193115,
        5.0723463340010095,
        5.072366838808903,
        5.072387343616797,
        5.0724078484246915,
        5.072428353232585,
        5.072448858040479,
        5.0724693628483735,
        5.072489867656268,
        5.072510372464161,
        5.072530877272055,
        5.07255138207995,
        5.072571886887843,
        5.072592391695737,
        5.072612896503632,
        5.072633401311525,
        5.072653906119419,
        5.072674410927314,
        5.072694915735208,
        5.072715420543101,
        5.072735925350996,
        5.0727559533028925,
        5.072776458110786,
        5.07279696291868,
        5.0728174677265745,
        5.072837972534468,
        5.072858477342362,
        5.0728789821502565,
        5.072899486958151,
        5.072919991766044,
        5.072940496573938,
        5.0729605245258345,
        5.072981029333729,
        5.073001534141623,
        5.073022038949517,
        5.073042543757411,
        5.073063048565305,
        5.073083553373199,
        5.073103581325095,
        5.07312408613299,
        5.073144590940884,
        5.073165095748777,
        5.073185600556672,
        5.073206105364566,
        5.073226610172459,
        5.073246638124356,
        5.0732671429322505,
        5.073287647740144,
        5.073308152548038,
        5.073328657355932,
        5.0733486853078285,
        5.073369190115723,
        5.073389694923617,
        5.07341019973151,
        5.073430704539405,
        5.073451209347299,
        5.073471237299195,
        5.073491742107089,
        5.073512246914984,
        5.073532751722878,
        5.073552779674774,
        5.073573284482668,
        5.073593789290562,
        5.073614294098456,
        5.07363479890635,
        5.073654826858246,
        5.0736753316661405,
        5.073695836474035,
        5.073716341281929,
        5.073736369233825,
        5.073756874041719,
        5.073777378849613,
        5.073797883657507,
        5.073817911609404,
        5.073838416417297,
        5.073858921225192,
        5.073878949177089,
        5.073899453984982,
        5.073919958792876,
        5.073940463600771,
        5.073960491552667,
        5.073980996360561,
        5.074001501168455,
        5.074021529120351,
        5.0740420339282455,
        5.07406253873614,
        5.074082566688036,
        5.07410307149593,
        5.074123576303824,
        5.074144081111718,
        5.074164109063615,
        5.074184613871508,
        5.074205118679402,
        5.074225146631299,
        5.074245651439193,
        5.074266156247087,
        5.074286184198984,
        5.074306689006877,
        5.074326716958774,
        5.0743472217666685,
        5.074367726574562,
        5.074387754526459,
        5.074408259334352,
        5.0744287641422465,
        5.0744487920941435,
        5.074469296902037,
        5.074489801709931,
        5.074509829661828,
        5.0745303344697215,
        5.074550362421618,
        5.074570867229513,
        5.074591372037406,
        5.074611399989303,
        5.074631904797196,
        5.074651932749093,
        5.074672437556988,
        5.074692465508884,
        5.074712970316778,
        5.074733475124672,
        5.074753503076568,
        5.0747740078844625,
        5.074794035836359,
        5.074814540644253,
        5.07483456859615,
        5.074855073404043,
        5.0748755782119375,
        5.0748956061638335,
        5.074916110971728,
        5.074936138923625,
        5.074956643731518,
        5.074976671683415,
        5.074997176491309,
        5.075017204443205,
        5.0750377092511,
        5.075057737202996,
        5.07507824201089,
        5.075098269962787,
        5.07511877477068,
        5.075138802722577,
        5.0751593075304715,
        5.0751793354823675,
        5.075199840290262,
        5.075219868242158,
        5.075240373050052,
        5.075260401001948,
        5.0752809058098425,
        5.075300933761739,
        5.075321438569633,
        5.07534146652153,
        5.075361971329424,
        5.07538199928132,
        5.075402504089214,
        5.07542253204111,
        5.075443036849005,
        5.075463064800902,
        5.075483092752798,
        5.075503597560692,
        5.075523625512588,
        5.075544130320482,
        5.075564158272378,
        5.075584663080273,
        5.0756046910321695,
        5.0756247189840655,
        5.07564522379196,
        5.075665251743856,
        5.07568575655175,
        5.075705784503647,
        5.075725812455543,
        5.075746317263437,
        5.075766345215333,
        5.075786850023228,
        5.075806877975125,
        5.075826905927021,
        5.075847410734915,
        5.075867438686811,
        5.075887943494705,
        5.075907971446602,
        5.075927999398498,
        5.0759485042063925,
        5.075968532158289,
        5.0759885601101855,
        5.076009064918079,
        5.076029092869976,
        5.076049120821873,
        5.076069625629766,
        5.076089653581663,
        5.076109681533559,
        5.076130186341453,
        5.0761502142933494,
        5.076170242245246,
        5.076190747053141,
        5.076210775005037,
        5.076230802956934,
        5.076251307764827,
        5.076271335716724,
        5.07629136366862,
        5.076311868476514,
        5.076331896428411,
        5.076351924380307,
        5.076371952332204,
        5.076392457140098,
        5.0764124850919945,
        5.0764325130438905,
        5.076453017851785,
        5.076473045803682,
        5.076493073755578,
        5.076513101707475,
        5.076533606515368,
        5.076553634467265,
        5.076573662419161,
        5.076593690371058,
        5.076614195178952,
        5.076634223130848,
        5.076654251082745,
        5.076674279034641,
        5.076694783842536,
        5.076714811794432,
        5.0767348397463286,
        5.076754867698225,
        5.0767748956501215,
        5.076795400458016,
        5.076815428409912,
        5.076835456361809,
        5.076855484313705,
        5.076875989121599,
        5.076896017073495,
        5.076916045025392,
        5.076936072977288,
        5.076956100929185,
        5.076976128881081,
        5.076996633688975,
        5.077016661640872,
        5.077036689592768,
        5.077056717544665,
        5.077076745496561,
        5.077096773448458,
        5.077117278256352,
        5.0771373062082485,
        5.077157334160145,
        5.0771773621120415,
        5.0771973900639376,
        5.0772174180158345,
        5.077237922823729,
        5.077257950775625,
        5.077277978727522,
        5.077298006679418,
        5.077318034631315,
        5.077338062583211,
        5.077358090535108,
        5.077378118487004,
        5.077398146438901,
        5.077418651246794,
        5.077438679198691,
        5.077458707150587,
        5.077478735102484,
        5.07749876305438,
        5.077518791006277,
        5.077538818958173,
        5.07755884691007,
        5.077578874861966,
        5.077598902813863,
        5.077618930765759,
        5.077638958717656,
        5.07765946352555,
        5.077679491477446,
        5.077699519429343,
        5.077719547381239,
        5.077739575333136,
        5.077759603285032,
        5.077779631236929,
        5.077799659188825,
        5.077819687140722,
        5.077839715092618,
        5.077859743044515,
        5.077879770996411,
        5.077899798948308,
        5.077919826900204,
        5.077939854852101,
        5.077959882803997,
        5.077979910755894,
        5.07799993870779,
        5.078019966659687,
        5.078039994611583,
        5.07806002256348,
        5.078080050515376,
        5.078100078467273,
        5.078120106419169,
        5.078140134371066,
        5.078160162322962,
        5.078180190274859,
        5.078200218226755,
        5.078220246178652,
        5.078240274130548,
        5.078260302082445,
        5.078280330034341,
        5.078300357986238,
        5.078320385938134,
        5.0783404138900305,
        5.078359964985929,
        5.078379992937826,
        5.078400020889722,
        5.078420048841619,
        5.078440076793515,
        5.078460104745412,
        5.078480132697308,
        5.078500160649205,
        5.078520188601101,
        5.078540216552998,
        5.078560244504894,
        5.078580272456791,
        5.07859982355269,
        5.078619851504587,
        5.078639879456483,
        5.07865990740838,
        5.078679935360276,
        5.0786999633121725,
        5.078719991264069,
        5.0787400192159655,
        5.078759570311864,
        5.07877959826376,
        5.078799626215657,
        5.078819654167553,
        5.07883968211945,
        5.078859710071346,
        5.078879738023243,
        5.078899289119142,
        5.078919317071039,
        5.078939345022935,
        5.078959372974832,
        5.078979400926728,
        5.078999428878625,
        5.079018979974523,
        5.07903900792642,
        5.079059035878316,
        5.079079063830213,
        5.079099091782109,
        5.079118642878008,
        5.079138670829905,
        5.079158698781801,
        5.079178726733698,
        5.079198754685594,
        5.0792183057814935,
        5.0792383337333895,
        5.079258361685286,
        5.0792783896371825,
        5.079298417589079,
        5.079317968684978,
        5.079337996636875,
        5.079358024588771,
        5.079378052540668,
        5.079397603636567,
        5.079417631588463,
        5.07943765954036,
        5.079457687492256,
        5.079477238588155,
        5.079497266540051,
        5.079517294491948,
        5.079536845587847,
        5.079556873539744,
        5.07957690149164,
        5.079596929443537,
        5.0796164805394355,
        5.0796365084913315,
        5.0796565364432285,
        5.079676087539127,
        5.079696115491024,
        5.07971614344292,
        5.079736171394817,
        5.079755722490716,
        5.079775750442613,
        5.079795778394509,
        5.079815329490407,
        5.079835357442304,
        5.0798553853942,
        5.0798749364901,
        5.079894964441996,
        5.079914992393893,
        5.079934543489792,
        5.0799545714416885,
        5.0799745993935845,
        5.079994150489483,
        5.08001417844138,
        5.080034206393276,
        5.080053757489176,
        5.080073785441072,
        5.080093336536971,
        5.080113364488867,
        5.080133392440764,
        5.080152943536663,
        5.080172971488559,
        5.080192999440456,
        5.080212550536355,
        5.080232578488252,
        5.08025212958415,
        5.080272157536046,
        5.080292185487943,
        5.080311736583842,
        5.080331764535739,
        5.0803513156316376,
        5.0803713435835345,
        5.080390894679433,
        5.080410922631329,
        5.080430950583226,
        5.080450501679125,
        5.080470529631022,
        5.08049008072692,
        5.080510108678817,
        5.080529659774716,
        5.080549687726612,
        5.080569238822512,
        5.080589266774408,
        5.080609294726305,
        5.080628845822203,
        5.0806488737741,
        5.080668424869999,
        5.080688452821895,
        5.0807080039177945,
        5.080728031869691,
        5.080747582965589,
        5.080767610917486,
        5.080787162013385,
        5.080807189965282,
        5.0808267410611805,
        5.080846769013077,
        5.080866320108976,
        5.080886348060872,
        5.080905899156772,
        5.080925927108668,
        5.080945478204567,
        5.080965506156463,
        5.080985057252362,
        5.081004608348262,
        5.081024636300158,
        5.081044187396056,
        5.081064215347953,
        5.081083766443852,
        5.081103794395749,
        5.081123345491648,
        5.0811433734435445,
        5.081162924539443,
        5.081182475635342,
        5.081202503587239,
        5.0812220546831375,
        5.081261633730933,
        5.081281661682829,
        5.081301212778729,
        5.081320763874627,
        5.081340791826523,
        5.081360342922423,
        5.081380370874319,
        5.081439501018013,
        5.083851438653548,
        5.087013947629203,
        5.087090721444807,
        5.087109795684708,
        5.087148421020509,
        5.0871674952604105,
        5.0872061205962105,
        5.087225194836112,
        5.0872447459320105,
        5.087263820171913,
        5.087282894411814,
        5.087302445507713,
        5.087321519747614,
        5.087340593987515,
        5.087360145083414,
        5.087379219323316,
        5.087398293563218,
        5.087417844659116,
        5.087436918899018,
        5.087455993138919,
        5.08747506737882,
        5.08749461847472,
        5.087513692714621,
        5.0875327669545225,
        5.087551841194424,
        5.0875713922903225,
        5.087590466530224,
        5.087609540770125,
        5.087628615010027,
        5.087648166105926,
        5.087667240345827,
        5.087686314585729,
        5.08770538882563,
        5.087724939921529,
        5.087744014161431,
        5.087763088401332,
        5.087782162641234,
        5.087801713737132,
        5.087820787977034,
        5.087839862216935,
        5.087858936456836,
        5.087878010696738,
        5.087897561792637,
        5.0879166360325385,
        5.08793571027244,
        5.087954784512341,
        5.0879738587522425,
        5.087992932992144,
        5.088012484088043,
        5.088031558327945,
        5.088050632567846,
        5.088069706807747,
        5.088088781047649,
        5.08810785528755,
        5.088127406383449,
        5.088146480623351,
        5.088165554863252,
        5.088184629103154,
        5.088203703343055,
        5.088222777582956,
        5.088242328678855,
        5.088261402918756,
        5.088280477158658,
        5.08829955139856,
        5.088318625638461,
        5.0883376998783625,
        5.088356774118264,
        5.088375848358165,
        5.0883949225980665,
        5.088414473693965,
        5.0884335479338665,
        5.088452622173769,
        5.08847169641367,
        5.088490770653571,
        5.088509844893473,
        5.088528919133374,
        5.088547993373275,
        5.088567067613177,
        5.088586141853078,
        5.092067905919084,
        5.096199147853732,
        5.096222036941614,
        5.096244449173499,
        5.09626733826138,
        5.0962897504932645,
        5.096312639581146,
        5.0963355286690275,
        5.096357940900912,
        5.096380829988794,
        5.096403242220678,
        5.09642613130856,
        5.096449020396441,
        5.096471432628325,
        5.096494321716207,
        5.096516733948091,
        5.096539623035973,
        5.096562512123855,
        5.096584924355739,
        5.096607813443621,
        5.096630225675504,
        5.096653114763386,
        5.096675526995271,
        5.096698416083152,
        5.0967208283150365,
        5.096743717402918,
        5.0967666064907995,
        5.096789018722684,
        5.096811907810566,
        5.09683432004245,
        5.096857209130332,
        5.096879621362215,
        5.096902510450097,
        5.096924922681982,
        5.096947811769863,
        5.096970224001748,
        5.0969931130896295,
        5.097015525321513,
        5.097038414409395,
        5.097060826641279,
        5.097083715729161,
        5.0971061279610455,
        5.0971290170489265,
        5.097151429280811,
        5.097174318368693,
        5.097196730600577,
        5.097219619688459,
        5.097242031920342,
        5.097264921008224,
        5.097287333240109,
        5.09731022232799,
        5.097332634559875,
        5.097355046791758,
        5.09737793587964,
        5.097400348111525,
        5.097423237199406,
        5.0974456494312905,
        5.0974685385191725,
        5.097490950751056,
        5.097513839838938,
        5.097536252070822,
        5.097558664302706,
        5.097581553390588,
        5.097603965622472,
        5.097626854710354,
        5.097649266942238,
        5.097671679174122,
        5.097694568262004,
        5.097716980493888,
        5.09773986958177,
        5.097762281813654,
        5.097784694045538,
        5.09780758313342,
        5.097829995365304,
        5.097852884453186,
        5.09787529668507,
        5.097897708916954,
        5.097920598004836,
        5.09794301023672,
        5.097965422468604,
        5.0979883115564855,
        5.09801072378837,
        5.098033612876252,
        5.098056025108136,
        5.09807843734002,
        5.098101326427901,
        5.098123738659786,
        5.09814615089167,
        5.098169039979552,
        5.098191452211436,
        5.09821386444332,
        5.098236753531202,
        5.098259165763086,
        5.09828157799497,
        5.098304467082852,
        5.098326879314736,
        5.09834929154662,
        5.098371703778504,
        5.098394592866386,
        5.098417005098271,
        5.098439417330154,
        5.098462306418036,
        5.09848471864992,
        5.098507130881805,
        5.098530019969687,
        5.09855243220157,
        5.098574844433455,
        5.098597256665339,
        5.098642557985104,
        5.099722636819522,
        5.099767461283291,
        5.099789873515175,
        5.099812285747059,
        5.0998346979789435,
        5.099857110210827,
        5.099879522442712,
        5.0999019346745955,
        5.09992434690648,
        5.099947235994362,
        5.099969648226246,
        5.09999206045813,
        5.100014472690014,
        5.100036884921899,
        5.100059297153782,
        5.100081709385667,
        5.100104121617551,
        5.100126533849435,
        5.100148946081319,
        5.100171358313204,
        5.100193770545087,
        5.100216182776972,
        5.100238595008856,
        5.10026100724074,
        5.100283419472624,
        5.1003058317045085,
        5.100328243936392,
        5.100350656168277,
        5.1003730684001605,
        5.100395480632045,
        5.100417892863929,
        5.100440305095813,
        5.100462717327698,
        5.100485129559582,
        5.100507541791466,
        5.10052995402335,
        5.100552366255235,
        5.100574778487118,
        5.100597190719003,
        5.100619602950887,
        5.100642015182771,
        5.100664427414655,
        5.1006868396465395,
        5.100709251878423,
        5.100731664110308,
        5.1007540763421915,
        5.100776488574076,
        5.10079890080596,
        5.100821313037844,
        5.100843725269728,
        5.100866137501613,
        5.100888549733496,
        5.100910485109384,
        5.100932897341267,
        5.100955309573152,
        5.100977721805036,
        5.10100013403692,
        5.101022546268804,
        5.1010449585006885,
        5.101067370732572,
        5.101089782964457,
        5.1011121951963405,
        5.101134607428225,
        5.1011565428041115,
        5.101178955035996,
        5.10120136726788,
        5.101223779499764,
        5.101246191731648,
        5.101268603963533,
        5.101291016195416,
        5.101313428427301,
        5.101335363803187,
        5.101357776035072,
        5.101380188266956,
        5.10140260049884,
        5.101425012730724,
        5.1014474249626085,
        5.101469837194492,
        5.1014917725703794,
        5.101514184802263,
        5.101536597034148,
        5.1015590092660315,
        5.101581421497916,
        5.1016038337298,
        5.101625769105687,
        5.101648181337571,
        5.101670593569455,
        5.101693005801339,
        5.101715418033224,
        5.10173735340911,
        5.1017597656409945,
        5.101782177872878,
        5.101804590104763,
        5.1018270023366465,
        5.101848937712533,
        5.1018713499444175,
        5.101893762176301,
        5.101916174408186,
        5.1019385866400695,
        5.101960522015957,
        5.10198293424784,
        5.102005346479725,
        5.102027758711609,
        5.102049694087496,
        5.10207210631938,
        5.102094518551264,
        5.102116930783148,
        5.102138866159035,
        5.102161278390919,
        5.1021836906228035,
        5.102206102854687,
        5.102228038230574,
        5.102250450462458,
        5.102272862694342,
        5.102294798070229,
        5.102317210302113,
        5.102339622533997,
        5.102362034765881,
        5.102383970141768,
        5.102406382373652,
        5.102428794605537,
        5.102450729981423,
        5.102473142213308,
        5.102495554445191,
        5.102517489821078,
        5.102539902052962,
        5.102562314284846,
        5.102584726516731,
        5.102606661892617,
        5.1026290741245015,
        5.102651486356385,
        5.1026734217322725,
        5.102695833964156,
        5.1027177693400425,
        5.102740181571927,
        5.102762593803812,
        5.102784529179698,
        5.102806941411582,
        5.102829353643466,
        5.102851289019353,
        5.102873701251237,
        5.102896113483121,
        5.102918048859008,
        5.102940461090892,
        5.102962396466778,
        5.102984808698663,
        5.103007220930547,
        5.103029156306434,
        5.1030515685383175,
        5.103073980770202,
        5.1030959161460885,
        5.103118328377973,
        5.103140263753859,
        5.103162675985743,
        5.10318461136163,
        5.103207023593514,
        5.103229435825399,
        5.103251371201285,
        5.10327378343317,
        5.103295718809056,
        5.103318131040941,
        5.103340066416827,
        5.103362478648711,
        5.103384890880595,
        5.103406826256482,
        5.103429238488366,
        5.1034511738642525,
        5.103473586096137,
        5.1034955214720235,
        5.103517933703907,
        5.103539869079794,
        5.103562281311678,
        5.103584216687565,
        5.103606628919449,
        5.103628564295335,
        5.10365097652722,
        5.103672911903106,
        5.103695324134991,
        5.103717736366875,
        5.103739671742762,
        5.103762083974646,
        5.103784019350532,
        5.103805954726419,
        5.103828366958303,
        5.10385030233419,
        5.103872714566074,
        5.10389464994196,
        5.103917062173845,
        5.103938997549731,
        5.103961409781616,
        5.103983345157502,
        5.104005757389387,
        5.104027692765273,
        5.104050104997157,
        5.104072040373044,
        5.104094452604928,
        5.104116387980815,
        5.104138323356701,
        5.104160735588585,
        5.104182670964472,
        5.104205083196356,
        5.104227018572243,
        5.104249430804127,
        5.104271366180013,
        5.1042933015559,
        5.104315713787784,
        5.104337649163671,
        5.104360061395555,
        5.104381996771441,
        5.104403932147329,
        5.104426344379212,
        5.1044482797551,
        5.104470691986983,
        5.10449262736287,
        5.104514562738757,
        5.104536974970641,
        5.104558910346528,
        5.104581322578412,
        5.104603257954298,
        5.104625193330185,
        5.104647605562069,
        5.104669540937956,
        5.1046914763138425,
        5.104713888545726,
        5.104735823921613,
        5.1047577592975,
        5.104780171529384,
        5.104802106905271,
        5.104824042281157,
        5.104846454513042,
        5.104868389888928,
        5.104890325264814,
        5.104912737496699,
        5.104934672872585,
        5.1049566082484725,
        5.104979020480356,
        5.105000955856243,
        5.10502289123213,
        5.1050453034640135,
        5.105067238839901,
        5.105089174215787,
        5.1051111095916735,
        5.105133521823558,
        5.105155457199444,
        5.105177392575331,
        5.105199804807215,
        5.105221740183102,
        5.105243675558989,
        5.105265610934875,
        5.105288023166759,
        5.105309958542646,
        5.105331893918533,
        5.105353829294419,
        5.1053762415263035,
        5.10539817690219,
        5.105420112278076,
        5.1054420476539635,
        5.105464459885847,
        5.105486395261734,
        5.105508330637621,
        5.105530266013507,
        5.105552678245392,
        5.105574613621278,
        5.105596548997164,
        5.105618484373052,
        5.105640419748938,
        5.105662831980823,
        5.105684767356709,
        5.105706702732595,
        5.1057286381084825,
        5.105750573484369,
        5.105772985716253,
        5.10579492109214,
        5.105816856468026,
        5.1058387918439125,
        5.1058607272198,
        5.105882662595686,
        5.10590507482757,
        5.105927010203457,
        5.105948945579343,
        5.10597088095523,
        5.105992816331117,
        5.106014751707003,
        5.106037163938888,
        5.106059099314774,
        5.106081034690661,
        5.106102970066548,
        5.106124905442434,
        5.106146840818321,
        5.106168776194207,
        5.106190711570094,
        5.106213123801978,
        5.106235059177865,
        5.1062569945537515,
        5.106278929929638,
        5.106300865305525,
        5.106322800681411,
        5.106344736057298,
        5.106366671433185,
        5.106388606809071,
        5.106411019040955,
        5.106432954416842,
        5.106454889792729,
        5.106476825168615,
        5.106498760544502,
        5.106520695920389,
        5.106542631296275,
        5.106564566672162,
        5.1065865020480485,
        5.106608437423935,
        5.106630372799822,
        5.1066523081757085,
        5.106674243551595,
        5.106696178927482,
        5.106718114303368,
        5.106740049679255,
        5.106761985055141,
        5.106784397287026,
        5.106806332662912,
        5.106828268038799,
        5.106850203414686,
        5.106872138790572,
        5.106894074166459,
        5.106916009542346,
        5.106937944918232,
        5.106959880294119,
        5.1069818156700055,
        5.107003751045892,
        5.107025686421779,
        5.1070476217976655,
        5.107069557173552,
        5.107091492549438,
        5.107113427925325,
        5.107135363301212,
        5.107157298677098,
        5.107179234052985,
        5.107200692572874,
        5.107222627948761,
        5.107244563324647,
        5.107266498700534,
        5.107288434076421,
        5.107310369452307,
        5.107332304828194,
        5.107354240204081,
        5.107376175579967,
        5.107398110955854,
        5.1074200463317405,
        5.107441981707627,
        5.107463917083514,
        5.1074858524594005,
        5.107507787835287,
        5.107529723211174,
        5.107551181731063,
        5.107573117106949,
        5.107595052482836,
        5.107616987858723,
        5.107638923234609,
        5.107660858610496,
        5.107682793986383,
        5.107704729362269,
        5.107726664738156,
        5.107748600114043,
        5.107770058633932,
        5.107791994009818,
        5.1078139293857046,
        5.107835864761592,
        5.107857800137478,
        5.1078797355133645,
        5.107901670889252,
        5.107923129409141,
        5.107945064785027,
        5.107967000160913,
        5.107988935536801,
        5.108010870912687,
        5.108032806288573,
        5.108054741664461,
        5.10807620018435,
        5.108098135560236,
        5.108120070936122,
        5.1081420063120095,
        5.108163941687896,
        5.108185400207785,
        5.108207335583671,
        5.1082292709595585,
        5.108251206335445,
        5.10844767100643,
        5.108469606382316,
        5.108491064902205,
        5.108513000278092,
        5.108534935653979,
        5.108556871029865,
        5.108578329549754,
        5.108600264925641,
        5.108622200301528,
        5.108644135677414,
        5.108665594197303,
        5.1086875295731895,
        5.108709464949077,
        5.108731400324963,
        5.108752858844852,
        5.108774794220739,
        5.108796729596626,
        5.108818188116515,
        5.108840123492401,
        5.108862058868288,
        5.108883994244175,
        5.108905452764064,
        5.10892738813995,
        5.108949323515837,
        5.108970782035726,
        5.1089927174116125,
        5.109014652787499,
        5.109036111307389,
        5.109058046683275,
        5.1090799820591615,
        5.1091014405790505,
        5.109123375954938,
        5.109145311330824,
        5.109166769850713,
        5.109188705226599,
        5.109210640602487,
        5.109232099122376,
        5.109254034498262,
        5.109275969874148,
        5.109297428394038,
        5.109319363769925,
        5.109341299145811,
        5.1093627576657,
        5.109384693041587,
        5.109406151561476,
        5.1094280869373625,
        5.109450022313249,
        5.109471480833139,
        5.109493416209025,
        5.109514874728914,
        5.1095368101048,
        5.109558745480688,
        5.109580204000577,
        5.109602139376463,
        5.109623597896352,
        5.109645533272238,
        5.109667468648126,
        5.109688927168015,
        5.109710862543901,
        5.10973232106379,
        5.109754256439677,
        5.109775714959566,
        5.1097976503354525,
        5.109819585711339,
        5.109841044231228,
        5.109862979607115,
        5.109884438127004,
        5.1099063735028905,
        5.1099278320227794,
        5.109949767398667,
        5.109971225918556,
        5.109993161294442,
        5.110014619814331,
        5.110036555190218,
        5.110058013710107,
        5.110079949085994,
        5.110101407605883,
        5.110123342981769,
        5.110144801501659,
        5.110166736877545,
        5.110188195397434,
        5.1102101307733205,
        5.1102315892932095,
        5.110253524669097,
        5.110274983188986,
        5.110296918564872,
        5.110318377084761,
        5.110340312460648,
        5.110361770980537,
        5.110383706356424,
        5.110405164876313,
        5.110427100252199,
        5.110448558772089,
        5.110470494147975,
        5.110491952667864,
        5.110513888043751,
        5.11053534656364,
        5.1105568050835295,
        5.110578740459416,
        5.110600198979305,
        5.110622134355191,
        5.11064359287508,
        5.110665528250967,
        5.110686986770856,
        5.110708445290745,
        5.110730380666632,
        5.110751839186521,
        5.110773774562408,
        5.110795233082297,
        5.110816691602186,
        5.110838626978072,
        5.110860085497961,
        5.110882020873849,
        5.110903479393738,
        5.110924937913627,
        5.110946873289513,
        5.110968331809402,
        5.110989790329291,
        5.111011725705178,
        5.111033184225067,
        5.111054642744956,
        5.1110765781208425,
        5.1110980366407315,
        5.111119972016619,
        5.111141430536508,
        5.111162889056397,
        5.111184824432283,
        5.111206282952172,
        5.111227741472062,
        5.111249676847948,
        5.111271135367837,
        5.111292593887726,
        5.111314529263613,
        5.1113359877835025,
        5.1113574463033915,
        5.1113789048232805,
        5.111400840199167,
        5.111422298719056,
        5.111443757238945,
        5.111465692614832,
        5.111487151134721,
        5.11150860965461,
        5.111530068174499,
        5.111552003550385,
        5.111573462070274,
        5.111594920590164,
        5.111616855966051,
        5.11163831448594,
        5.111659773005829,
        5.111681231525718,
        5.111703166901605,
        5.111724625421494,
        5.111746083941383,
        5.111767542461272,
        5.111789477837158,
        5.111810936357047,
        5.112284931218598,
        5.112306389738487,
        5.112327848258376,
        5.112349783634262,
        5.112371242154151,
        5.11239270067404,
        5.11241415919393,
        5.112435617713819,
        5.112457076233708,
        5.112478534753597,
        5.112500470129484,
        5.112521928649373,
        5.112543387169262,
        5.1125648456891515,
        5.1125863042090405,
        5.1126077627289295,
        5.1126292212488185,
        5.1126506797687075,
        5.1126721382885965,
        5.112694073664483,
        5.112715532184373,
        5.112736990704262,
        5.112758449224151,
        5.11277990774404,
        5.112801366263929,
        5.112822824783818,
        5.112844283303707,
        5.112865741823596,
        5.1128872003434855,
        5.1129086588633745,
        5.1129301173832635,
        5.1129515759031525,
        5.1129730344230415,
        5.112994969798928,
        5.113016428318817,
        5.113037886838707,
        5.113059345358596,
        5.113080803878485,
        5.113102262398374,
        5.113123720918263,
        5.113145179438152,
        5.113166637958041,
        5.11318809647793,
        5.113209554997819,
        5.113231013517709,
        5.113252472037598,
        5.113273930557487,
        5.113295389077376,
        5.113316847597265,
        5.113338306117154,
        5.113359764637043,
        5.1133812231569316,
        5.1134026816768205,
        5.11342414019671,
        5.113445598716599,
        5.113467057236488,
        5.113488515756377,
        5.113509974276266,
        5.113531432796155,
        5.113552414460047,
        5.113573872979936,
        5.113595331499825,
        5.113616790019714,
        5.113638248539604,
        5.113659707059493,
        5.113681165579382,
        5.113702624099271,
        5.11372408261916,
        5.113745541139049,
        5.113766999658938,
        5.113788458178827,
        5.113809916698716,
        5.113831375218606,
        5.113852356882497,
        5.113873815402386,
        5.113895273922275,
        5.113916732442164,
        5.113938190962053,
        5.113959649481942,
        5.113981108001831,
        5.11400256652172,
        5.114024025041609,
        5.114045006705501,
        5.11406646522539,
        5.11408792374528,
        5.114109382265169,
        5.114130840785058,
        5.114152299304947,
        5.114173757824836,
        5.1141947394887275,
        5.1142161980086165,
        5.1142376565285055,
        5.1142591150483945,
        5.1142805735682835,
        5.114302032088173,
        5.114323490608062,
        5.114344472271954,
        5.114365930791843,
        5.114387389311732,
        5.114408847831621,
        5.11443030635151,
        5.114451288015402,
        5.114472746535291,
        5.11449420505518,
        5.114515663575069,
        5.114537122094958,
        5.114558103758849,
        5.114579562278738,
        5.115985333759474,
        5.116006792279363,
        5.116028250799252,
        5.116049232463143,
        5.116070690983032,
        5.116091672646924,
        5.116113131166813,
        5.1161341128307045,
        5.1161555713505935,
        5.116176553014485,
        5.116198011534374,
        5.116218993198266,
        5.116240451718155,
        5.116261433382046,
        5.116282891901935,
        5.116303873565827,
        5.116325332085716,
        5.116346313749608,
        5.116367772269497,
        5.116388753933388,
        5.116410212453277,
        5.116431194117169,
        5.116452652637058,
        5.11647363430095,
        5.116495092820839,
        5.11651607448473,
        5.116537533004619,
        5.116558514668511,
        5.1165799731884,
        5.1166009548522915,
        5.116621936516183,
        5.116643395036072,
        5.116664376699964,
        5.116685835219853,
        5.116706816883744,
        5.116728275403633,
        5.116749257067525,
        5.116770715587414,
        5.116791697251306,
        5.116812678915197,
        5.116834137435086,
        5.116855119098978,
        5.116876577618867,
        5.116897559282759,
        5.11691854094665,
        5.116939999466539,
        5.116960981130431,
        5.11698243965032,
        5.1170034213142115,
        5.117024402978103,
        5.117045861497992,
        5.117066843161884,
        5.117087824825775,
        5.117109283345664,
        5.117130265009556,
        5.117151723529445,
        5.117172705193337,
        5.117193686857228,
        5.117215145377117,
        5.117236127041009,
        5.117257108704901,
        5.11727856722479,
        5.117299548888681,
        5.117320530552573,
        5.117341989072462,
        5.1173629707363535,
        5.117383952400245,
        5.117405410920134,
        5.117426392584026,
        5.117447374247917,
        5.117468832767806,
        5.117489814431698,
        5.11751079609559,
        5.117532254615479,
        5.11755323627937,
        5.117574217943262,
        5.117595199607153,
        5.117616658127043,
        5.117637639790934,
        5.117658621454825,
        5.117679603118717,
        5.117701061638606,
        5.117722043302497,
        5.117743024966389,
        5.117764483486278,
        5.1177854651501695,
        5.117806446814061,
        5.117827428477953,
        5.117848886997842,
        5.117869868661733,
        5.117890850325625,
        5.117911831989517,
        5.117933290509406,
        5.117954272173297,
        5.117975253837189,
        5.117996235501081,
        5.118017217164972,
        5.118038675684861,
        5.118059657348753,
        5.1180806390126445,
        5.118101620676536,
        5.118122602340428,
        5.118144060860317,
        5.1181650425242085,
        5.118186024188099,
        5.118207005851991,
        5.1182279875158825,
        5.1182494460357715,
        5.118270427699663,
        5.118291409363555,
        5.118312391027446,
        5.118333372691338,
        5.11835435435523,
        5.118375812875119,
        5.11839679453901,
        5.118417776202902,
        5.118438757866794,
        5.118459739530685,
        5.118480721194577,
        5.1185017028584685,
        5.1185231613783575,
        5.118544143042249,
        5.118565124706141,
        5.1185861063700315,
        5.118607088033923,
        5.118628069697815,
        5.1186490513617064,
        5.118670033025598,
        5.118691491545487,
        5.118712473209379,
        5.11873345487327,
        5.118754436537162,
        5.118775418201054,
        5.118796399864945,
        5.118817381528837,
        5.118838363192729,
        5.11885934485662,
        5.118880326520511,
        5.118901308184403,
        5.118922289848294,
        5.118943271512186,
        5.118964730032075,
        5.1189857116959665,
        5.119006693359858,
        5.11902767502375,
        5.119048656687641,
        5.119069638351533,
        5.119090620015425,
        5.119111601679316,
        5.119132583343208,
        5.119153565007099,
        5.11917454667099,
        5.119195528334882,
        5.119216509998774,
        5.119237491662665,
        5.119258473326557,
        5.119279454990449,
        5.11930043665434,
        5.119321418318232,
        5.1193423999821235,
        5.119363381646015,
        5.119384363309907,
        5.1194053449737975,
        5.119426326637689,
        5.119447308301581,
        5.119468289965472,
        5.119489271629364,
        5.119510253293256,
        5.119531234957147,
        5.119552216621039,
        5.119573198284931,
        5.119594179948822,
        5.119615161612714,
        5.1196361432766055,
        5.119656648084499,
        5.119677629748391,
        5.119698611412282,
        5.119719593076174,
        5.1197405747400655,
        5.119761556403957,
        5.119782538067849,
        5.11980351973174,
        5.119824501395632,
        5.119845483059523,
        5.1198664647234144,
        5.119887446387306,
        5.1199079511952,
        5.119928932859092,
        5.119949914522984,
        5.119970896186875,
        5.119991877850767,
        5.120012859514659,
        5.120033841178549,
        5.120054822842441,
        5.120075804506333,
        5.120096309314227,
        5.1201172909781185,
        5.12013827264201,
        5.120159254305902,
        5.120180235969793,
        5.120201217633685,
        5.120222199297576,
        5.12024270410547,
        5.120263685769362,
        5.120284667433253,
        5.120305649097145,
        5.120326630761037,
        5.120347612424928,
        5.120368117232822,
        5.120389098896713,
        5.120410080560605,
        5.120431062224497,
        5.120452043888388,
        5.1204725486962825,
        5.120493530360174,
        5.120514512024066,
        5.1205354936879575,
        5.120556475351848,
        5.1205769801597425,
        5.120597961823634,
        5.120618943487526,
        5.120639925151417,
        5.120660429959312,
        5.120681411623203,
        5.120702393287094,
        5.120723374950986,
        5.120744356614877,
        5.120764861422772,
        5.120785843086663,
        5.120806824750555,
        5.120827329558449,
        5.12084831122234,
        5.120869292886232,
        5.120890274550123,
        5.1209107793580175,
        5.120931761021909,
        5.120952742685801,
        5.1209737243496924,
        5.120994229157586,
        5.1210152108214775,
        5.121036192485369,
        5.121056697293263,
        5.121077678957155,
        5.121098660621047,
        5.121119642284938,
        5.121140147092832,
        5.121161128756723,
        5.121182110420615,
        5.121202615228509,
        5.121223596892401,
        5.121244578556293,
        5.121265083364186,
        5.121286065028078,
        5.121307046691969,
        5.1213275514998635,
        5.121348533163755,
        5.121369514827647,
        5.121390019635541,
        5.121411001299432,
        5.121431506107326,
        5.121452487771218,
        5.121473469435109,
        5.121493974243004,
        5.121514955906895,
        5.121535937570787,
        5.12155644237868,
        5.121577424042572,
        5.121597928850466,
        5.121618910514358,
        5.1216398921782496,
        5.121660396986143,
        5.121681378650035,
        5.121701883457929,
        5.1217228651218205,
        5.121743846785712,
        5.121764351593606,
        5.121785333257497,
        5.1218058380653915,
        5.121826819729283,
        5.121847324537177,
        5.121868306201069,
        5.121889287864961,
        5.121909792672854,
        5.121930774336746,
        5.12195127914464,
        5.121972260808532,
        5.121992765616426,
        5.1220137472803176,
        5.122034252088211,
        5.122055233752103,
        5.122075738559997,
        5.1220967202238885,
        5.12211770188778,
        5.1221382066956735,
        5.122159188359565,
        5.1221796931674595,
        5.122200674831351,
        5.122221179639245,
        5.122242161303137,
        5.12226266611103,
        5.122283647774922,
        5.122304152582816,
        5.122325134246708,
        5.122345639054602,
        5.122366143862496,
        5.122387125526387,
        5.122407630334282,
        5.122428611998173,
        5.122449116806067,
        5.122470098469958,
        5.1224906032778525,
        5.122511584941744,
        5.1225320897496385,
        5.12255307141353,
        5.1225735762214235,
        5.122594081029318,
        5.122615062693209,
        5.122635567501104,
        5.122656549164995,
        5.122677053972889,
        5.12269803563678,
        5.122718540444675,
        5.122739045252569,
        5.122760026916461,
        5.122780531724354,
        5.122801513388246,
        5.12282201819614,
        5.122842523004034,
        5.122863504667926,
        5.122884009475819,
        5.122904991139711,
        5.122925495947605,
        5.122946000755499,
        5.12296698241939,
        5.1229874872272845,
        5.123007992035179,
        5.12302897369907,
        5.123049478506965,
        5.123070460170855,
        5.12309096497875,
        5.123111469786644,
        5.123132451450536,
        5.123152956258429,
        5.123173461066323,
        5.123194442730215,
        5.123214947538109,
        5.1232354523460035,
        5.123256434009894,
        5.123276938817789,
        5.123297443625683,
        5.1233184252895745,
        5.123338930097468,
        5.123359434905362,
        5.1233799397132564,
        5.123400921377148,
        5.123421426185042,
        5.123441930992936,
        5.123462912656827,
        5.123483417464722,
        5.123503922272616,
        5.123524427080509,
        5.123545408744401,
        5.123565913552295,
        5.12358641836019,
        5.123607400024081,
        5.123627904831975,
        5.123648409639869,
        5.123668914447763,
        5.123689896111655,
        5.123710400919548,
        5.1237309057274425,
        5.123751410535337,
        5.12377191534323,
        5.123792897007122,
        5.123813401815016,
        5.12383390662291,
        5.123854411430804,
        5.123875393094695,
        5.12389589790259,
        5.123916402710484,
        5.123936907518377,
        5.123957412326272,
        5.123978393990163,
        5.123998898798058,
        5.124019403605952,
        5.124039908413845,
        5.1240604132217396,
        5.124081394885631,
        5.1241018996935255,
        5.124122404501419,
        5.124142909309313,
        5.124163414117207,
        5.124183918925101,
        5.1242049005889925,
        5.124225405396887,
        5.124245910204781,
        5.124266415012674,
        5.124286919820569,
        5.124307424628463,
        5.124327929436357,
        5.124348911100249,
        5.124369415908142,
        5.124389920716037,
        5.124410425523931,
        5.124430930331824,
        5.124451435139719,
        5.124471939947613,
        5.124492444755506,
        5.1245129495634005,
        5.124533931227292,
        5.1245544360351865,
        5.124574940843081,
        5.124595445650974,
        5.124615950458868,
        5.124636455266763,
        5.124656960074656,
        5.12467746488255,
        5.124697969690445,
        5.124718474498339,
        5.124738979306232,
        5.124759484114127,
        5.124779988922021,
        5.1248009705859126,
        5.124821475393806,
        5.1248419802017,
        5.1248624850095945,
        5.124882989817488,
        5.124903494625382,
        5.1249239994332765,
        5.124944504241171,
        5.124965009049064,
        5.124985513856958,
        5.125006018664853,
        5.125026523472746,
        5.12504702828064,
        5.125067533088535,
        5.125088037896428,
        5.125108542704322,
        5.125129047512217,
        5.125149552320111,
        5.125170057128004,
        5.125190561935899,
        5.125211066743793,
        5.125231571551686,
        5.125252076359581,
        5.125272581167475,
        5.125293085975369,
        5.1253135907832625,
        5.125334095591157,
        5.125354600399051,
        5.1253751052069445,
        5.125395133158841,
        5.125415637966736,
        5.125436142774629,
        5.125456647582523,
        5.125477152390418,
        5.125497657198312,
        5.125518162006205,
        5.1255386668141,
        5.125559171621994,
        5.125579676429887,
        5.125600181237782,
        5.125620686045676,
        5.125641190853569,
        5.125661218805466,
        5.1256817236133605,
        5.125702228421254,
        5.125722733229148,
        5.1257432380370425,
        5.125763742844937,
        5.12578424765283,
        5.125804752460724,
        5.125825257268619,
        5.125845285220515,
        5.125865790028409,
        5.125886294836303,
        5.125906799644197,
        5.125927304452091,
        5.125947809259985,
        5.125968314067879,
        5.125988342019776,
        5.12600884682767,
        5.126029351635563,
        5.126049856443458,
        5.126070361251352,
        5.126090866059245,
        5.126110894011142,
        5.1261313988190365,
        5.12615190362693,
        5.126172408434824,
        5.126192913242718,
        5.1262129411946145,
        5.126233446002509,
        5.126253950810403,
        5.126274455618296,
        5.126294960426191,
        5.126314988378088,
        5.126335493185981,
        5.126355997993875,
        5.12637650280177,
        5.126396530753666,
        5.12641703556156,
        5.126437540369454,
        5.126458045177348,
        5.126478549985242,
        5.126498577937139,
        5.126519082745032,
        5.1265395875529265,
        5.126560092360821,
        5.126580120312717,
        5.126600625120611,
        5.126621129928505,
        5.126641157880401,
        5.126661662688296,
        5.12668216749619,
        5.126702672304083,
        5.12672270025598,
        5.126743205063875,
        5.126763709871768,
        5.126783737823665,
        5.126804242631559,
        5.126824747439453,
        5.126845252247347,
        5.126865280199243,
        5.126885785007137,
        5.1269062898150315,
        5.1269263177669275,
        5.126946822574822,
        5.126967327382716,
        5.126987355334612,
        5.127007860142506,
        5.127028364950401,
        5.127048392902297,
        5.127068897710191,
        5.127089402518085,
        5.127109430469981,
        5.127129935277876,
        5.127149963229772,
        5.127170468037666,
        5.12719097284556,
        5.127211000797456,
        5.127231505605351,
        5.127252010413245,
        5.127272038365141,
        5.127292543173035,
        5.127312571124931,
        5.1273330759328255,
        5.12735358074072,
        5.127373608692616,
        5.12739411350051,
        5.127414141452407,
        5.1274346462603,
        5.127455151068195,
        5.127475179020092,
        5.127495683827985,
        5.127515711779882,
        5.127536216587775,
        5.127556244539672,
        5.127576749347567,
        5.12759725415546,
        5.127617282107357,
        5.127637786915251,
        5.127657814867147,
        5.1276783196750415,
        5.1276983476269375,
        5.127718852434832,
        5.127738880386729,
        5.127759385194622,
        5.127779413146519,
        5.127799917954413,
        5.127819945906309,
        5.127840450714204,
        5.1278604786661,
        5.127880983473994,
        5.12790101142589,
        5.127921516233784,
        5.127941544185681,
        5.127962048993575,
        5.127982076945472,
        5.128002581753366,
        5.128022609705262,
        5.128043114513156,
        5.128063142465052,
        5.1280836472729465,
        5.1281036752248434,
        5.128124180032737,
        5.128144207984634,
        5.128164712792527,
        5.128184740744424,
        5.12820476869632,
        5.128225273504214,
        5.128245301456111,
        5.128265806264005,
        5.128285834215902,
        5.128306339023796,
        5.128326366975692,
        5.128346394927589,
        5.128366899735482,
        5.128386927687379,
        5.1284074324952735,
        5.12842746044717,
        5.128447965255064,
        5.12846799320696,
        5.128488021158857,
        5.128508525966751,
        5.128528553918647,
        5.128549058726541,
        5.1285690866784375,
        5.128589114630334,
        5.128609619438228,
        5.128629647390125,
        5.128649675342021,
        5.128670180149915,
        5.128690208101812,
        5.128710236053708,
        5.128730740861602,
        5.128750768813498,
        5.128770796765395,
        5.1287913015732896,
        5.128811329525186,
        5.1288313574770825,
        5.128851862284976,
        5.128871890236873,
        5.128891918188769,
        5.128912422996663,
        5.12893245094856,
        5.128952478900456,
        5.12897298370835,
        5.1289930116602465,
        5.129013039612143,
        5.129033544420038,
        5.129053572371934,
        5.129073600323831,
        5.129093628275727,
        5.129114133083621,
        5.129134161035517,
        5.129154188987414,
        5.129174693795308,
        5.129194721747204,
        5.129214749699101,
        5.129234777650997,
        5.1292552824588915,
        5.1292753104107875,
        5.1292953383626845,
        5.1293153663145805,
        5.129335871122475,
        5.129355899074372,
        5.129375927026268,
        5.129395954978165,
        5.129416459786058,
        5.129436487737955,
        5.129456515689851,
        5.129476543641748,
        5.129496571593644,
        5.129517076401538,
        5.129537104353434,
        5.129557132305331,
        5.129577160257227,
        5.129597188209124,
        5.1296176930170185,
        5.129637720968915,
        5.1296577489208115,
        5.1296777768727075,
        5.1296978048246045,
        5.129718309632498,
        5.129738337584395,
        5.129758365536291,
        5.129778393488188,
        5.129798421440084,
        5.129818449391981,
        5.129838477343878,
        5.129858982151771,
        5.129879010103668,
        5.129899038055564,
        5.129919066007461,
        5.129939093959357,
        5.129959121911254,
        5.12997914986315,
        5.129999654671044,
        5.13001968262294,
        5.130039710574837,
        5.130059738526733,
        5.13007976647863,
        5.130099794430527,
        5.130119822382423,
        5.13013985033432,
        5.130159878286216,
        5.130179906238113,
        5.130200411046006,
        5.130220438997903,
        5.130240466949799,
        5.13052085827635,
        5.130540886228247,
        5.130560914180143,
        5.13058094213204,
        5.130600970083936,
        5.130620998035833,
        5.130641025987729,
        5.130661053939626,
        5.130681081891522,
        5.130701109843419,
        5.130721137795315,
        5.130741165747212,
        5.130761193699108,
        5.130781221651005,
        5.130801249602901,
        5.130821277554798,
        5.130841305506695,
        5.130861333458591,
        5.130881361410488,
        5.130901389362384,
        5.130921417314281,
        5.130941445266177,
        5.130961473218074,
        5.13098150116997,
        5.131001529121867,
        5.131021557073763,
        5.13104158502566,
        5.131061612977556,
        5.131081640929453,
        5.131101192025351,
        5.131121219977247,
        5.131141247929144,
        5.13116127588104,
        5.131181303832937,
        5.131201331784833,
        5.13122135973673,
        5.131241387688626,
        5.131261415640523,
        5.131281443592419,
        5.131300994688319,
        5.131321022640215,
        5.131341050592112,
        5.131361078544008,
        5.131381106495905,
        5.131401134447801,
        5.131421162399698,
        5.131441190351594,
        5.131460741447493,
        5.131480769399389,
        5.131500797351286,
        5.131520825303182,
        5.131540853255079,
        5.131560881206975,
        5.131580432302874,
        5.131600460254771,
        5.131620488206668,
        5.131640516158564,
        5.131660544110461,
        5.131680572062357,
        5.1317001231582555,
        5.1317201511101525,
        5.1317401790620485,
        5.131760207013945,
        5.1317802349658415,
        5.131799786061741,
        5.131819814013637,
        5.131839841965534,
        5.13185986991743,
        5.13187942101333,
        5.131899448965226,
        5.131919476917123,
        5.131939504869019,
        5.131959055964917,
        5.131979083916814,
        5.13199911186871,
        5.132019139820607,
        5.132038690916506,
        5.132058718868403,
        5.132078746820299,
        5.132098774772196,
        5.1321183258680945,
        5.132138353819991,
        5.132158381771887,
        5.132178409723784,
        5.132197960819683,
        5.132217988771579,
        5.132238016723476,
        5.132257567819375,
        5.132277595771272,
        5.132297623723168,
        5.132317651675065,
        5.132337202770963,
        5.132357230722859,
        5.132377258674756,
        5.132396809770655,
        5.132416837722552,
        5.132436865674448,
        5.1324564167703475,
        5.1324764447222435,
        5.13249647267414,
        5.132516023770039,
        5.132536051721935,
        5.132556079673832,
        5.132575630769731,
        5.132595658721628,
        5.132615209817526,
        5.132635237769423,
        5.132655265721319,
        5.132674816817218,
        5.132694844769115,
        5.132714872721011,
        5.132734423816911,
        5.132754451768807,
        5.132774002864706,
        5.132794030816602,
        5.132814058768499,
        5.132833609864398,
        5.132853637816294,
        5.1328731889121935,
        5.1328932168640895,
        5.132913244815986,
        5.132932795911885,
        5.132952823863781,
        5.132972374959681,
        5.132992402911577,
        5.133011954007476,
        5.133031981959372,
        5.133052009911269,
        5.133071561007168,
        5.133091588959064,
        5.133111140054964,
        5.13313116800686,
        5.133150719102759,
        5.133170747054655,
        5.133190298150554,
        5.133210326102451,
        5.1332298771983496,
        5.1332499051502465,
        5.133269456246145,
        5.133289484198042,
        5.133309035293941,
        5.133329063245837,
        5.133348614341736,
        5.133368642293632,
        5.133388193389531,
        5.133408221341428,
        5.133427772437327,
        5.133447800389224,
        5.133467351485122,
        5.133487379437019,
        5.133506930532918,
        5.133526958484814,
        5.133546509580714,
        5.13356653753261,
        5.133586088628509,
        5.133606116580405,
        5.133625667676304,
        5.133645695628201,
        5.1336652467240995,
        5.133684797819998,
        5.133704825771895,
        5.133724376867794,
        5.133744404819691,
        5.133763955915589,
        5.133783983867486,
        5.133803534963385,
        5.133823086059284,
        5.133843114011181,
        5.133862665107079,
        5.133882693058976,
        5.133902244154875,
        5.133921795250774,
        5.133941823202671,
        5.133961374298569,
        5.133980925394468,
        5.134000953346365,
        5.1340205044422635,
        5.1340405323941605,
        5.134060083490059,
        5.134079634585958,
        5.134099662537855,
        5.1341192136337535,
        5.134138764729652,
        5.134158792681549,
        5.134178343777448,
        5.134197894873346,
        5.134217922825243,
        5.134237473921142,
        5.134257025017042,
        5.134277052968938,
        5.134296604064836,
        5.134316155160736,
        5.134336183112632,
        5.134355734208531,
        5.13437528530443,
        5.134395313256326,
        5.134414864352226,
        5.1344344154481245,
        5.1344544434000206,
        5.13447399449592,
        5.134493545591819,
        5.1345130966877175,
        5.134533124639614,
        5.134552675735513,
        5.134572226831412,
        5.134591777927311,
        5.134611805879207,
        5.134631356975107,
        5.134650908071006,
        5.134670459166904,
        5.134690487118801,
        5.1347100382147,
        5.134729589310599,
        5.134749140406498,
        5.134769168358394,
        5.134788719454293,
        5.1348082705501925,
        5.134827821646091,
        5.134847849597988,
        5.134867400693887,
        5.1348869517897855,
        5.134906502885684,
        5.134926053981584,
        5.13494608193348,
        5.134965633029379,
        5.134985184125278,
        5.135004735221177,
        5.135024286317075,
        5.135044314268972,
        5.135063865364871,
        5.135083416460771,
        5.135102967556669,
        5.135122518652568,
        5.135142069748467,
        5.135162097700364,
        5.135181648796262,
        5.135201199892162,
        5.1352207509880605,
        5.135240302083959,
        5.135259853179859,
        5.1352794042757575,
        5.1352994322276535,
        5.135318983323553,
        5.135338534419452,
        5.1353580855153504,
        5.13537763661125,
        5.135397187707149,
        5.135416738803047,
        5.135436289898946,
        5.135455840994846,
        5.135475868946742,
        5.135495420042641,
        5.13551497113854,
        5.135534522234439,
        5.135554073330338,
        5.135573624426237,
        5.135593175522136,
        5.135612726618034,
        5.135632277713934,
        5.1356518288098325,
        5.135671379905731,
        5.135690931001631,
        5.1357104820975295,
        5.1357305100494255,
        5.135750061145325,
        5.135769612241224,
        5.135789163337122,
        5.135808714433022,
        5.135828265528921,
        5.135847816624819,
        5.135867367720719,
        5.135886918816618,
        5.135906469912516,
        5.135926021008416,
        5.135945572104315,
        5.135965123200213,
        5.135984674296112,
        5.1360042253920115,
        5.13602377648791,
        5.136043327583809,
        5.1360628786797085,
        5.136082429775607,
        5.136101980871506,
        5.136121531967405,
        5.136141083063304,
        5.136160634159203,
        5.1361801852551014,
        5.136199736351001,
        5.1362192874469,
        5.136238361686801,
        5.136257912782701,
        5.136277463878599,
        5.136297014974498,
        5.136316566070397,
        5.136336117166296,
        5.136355668262195,
        5.136375219358094,
        5.136394770453993,
        5.136414321549892,
        5.1364338726457905,
        5.13645342374169,
        5.136472974837589,
        5.1364925259334875,
        5.136511600173389,
        5.136531151269288,
        5.136550702365187,
        5.136570253461086,
        5.136589804556985,
        5.136609355652884,
        5.136628906748783,
        5.136648457844681,
        5.143727861984094,
        5.1515101518638735,
        5.151533040951755,
        5.151555453183639,
        5.151578342271521,
        5.151600754503405,
        5.151623166735289,
        5.1516460558231705,
        5.151668468055055,
        5.151691357142937,
        5.151713769374821,
        5.151736181606705,
        5.151759070694586,
        5.151781482926471,
        5.151804372014353,
        5.151826784246237,
        5.151849196478121,
        5.151872085566002,
        5.151894497797887,
        5.151917386885769,
        5.1519397991176525,
        5.151962211349537,
        5.151985100437419,
        5.152007512669303,
        5.152029924901187,
        5.1520528139890684,
        5.152075226220953,
        5.152098115308835,
        5.152120527540719,
        5.152142939772603,
        5.152165828860484,
        5.152188241092369,
        5.152210653324253,
        5.152233542412135,
        5.152255954644019,
        5.152278366875903,
        5.152301255963785,
        5.152323668195669,
        5.152346080427553,
        5.152368969515435,
        5.152391381747319,
        5.152413793979203,
        5.152436206211087,
        5.152459095298969,
        5.152481507530853,
        5.152503919762737,
        5.152526808850619,
        5.152549221082503,
        5.152571633314388,
        5.152594045546271,
        5.152616934634153,
        5.152639346866037,
        5.152661759097922,
        5.1526846481858035,
        5.152707060417687,
        5.152729472649572,
        5.1527518848814555,
        5.1527747739693375,
        5.152797186201221,
        5.152819598433106,
        5.15284201066499,
        5.152864899752871,
        5.152887311984756,
        5.15290972421664,
        5.152932136448524,
        5.152955025536406,
        5.15297743776829,
        5.152999850000175,
        5.153022262232058,
        5.153044674463943,
        5.153067563551824,
        5.1530899757837085,
        5.153112388015592,
        5.153134800247477,
        5.1531572124793605,
        5.1531801015672425,
        5.153202513799127,
        5.153224926031011,
        5.153247338262895,
        5.153269750494779,
        5.153292639582661,
        5.153315051814545,
        5.153337464046429,
        5.153359876278314,
        5.153382288510198,
        5.153404700742082,
        5.153427589829963,
        5.153450002061848,
        5.153472414293732,
        5.153494826525616,
        5.1535172387575,
        5.1535396509893845,
        5.153562540077266,
        5.15358495230915,
        5.153607364541035,
        5.1536297767729184,
        5.153652189004803,
        5.153674601236687,
        5.153697013468571,
        5.153719425700455,
        5.153742314788337,
        5.153764727020221,
        5.153787139252105,
        5.15380955148399,
        5.153831963715874,
        5.153854375947758,
        5.153876788179642,
        5.1538992004115265,
        5.15392161264341,
        5.153944024875295,
        5.153966913963176,
        5.1539893261950604,
        5.154011738426944,
        5.154034150658829,
        5.1540565628907125,
        5.154078975122597,
        5.154101387354482,
        5.154123799586365,
        5.15414621181825,
        5.154168624050134,
        5.154191036282018,
        5.154213448513902,
        5.1542358607457865,
        5.15425827297767,
        5.154280685209555,
        5.1543030974414386,
        5.154325509673323,
        5.154347921905207,
        5.1543703341370914,
        5.154392746368975,
        5.154415635456857,
        5.154438047688742,
        5.154460459920625,
        5.15448287215251,
        5.154505284384394,
        5.154527696616278,
        5.154550108848162,
        5.154572521080047,
        5.15459493331193,
        5.154617345543815,
        5.154639280919701,
        5.154661693151586,
        5.1546841053834696,
        5.154706517615354,
        5.154728929847238,
        5.1547513420791224,
        5.154773754311006,
        5.154796166542891,
        5.1548185787747745,
        5.154840991006659,
        5.154863403238543,
        5.154885815470427,
        5.154908227702311,
        5.154930639934196,
        5.154953052166079,
        5.154975464397964,
        5.154997876629848,
        5.155020288861732,
        5.155042701093616,
        5.1550651133255005,
        5.155087048701387,
        5.1551094609332715,
        5.155131873165155,
        5.15515428539704,
        5.1551766976289235,
        5.155199109860808,
        5.155221522092692,
        5.155243934324576,
        5.15526634655646,
        5.155288758788345,
        5.155310694164231,
        5.155333106396116,
        5.155355518627999,
        5.155377930859884,
        5.155400343091768,
        5.155422755323652,
        5.155445167555536,
        5.1554675797874205,
        5.155489515163307,
        5.1555119273951915,
        5.155534339627075,
        5.15555675185896,
        5.1555791640908435,
        5.155601576322728,
        5.155623988554612,
        5.155645923930499,
        5.155668336162383,
        5.155690748394267,
        5.155713160626151,
        5.155735572858036,
        5.155757508233922,
        5.155779920465807,
        5.15580233269769,
        5.155824744929575,
        5.155847157161459,
        5.155869569393343,
        5.1558915047692295,
        5.155913917001113,
        5.155936329232998,
        5.155958741464882,
        5.155980676840769,
        5.1560030890726525,
        5.156025501304537,
        5.156047913536421,
        5.156070325768305,
        5.156092261144192,
        5.156114673376076,
        5.15613708560796,
        5.156159497839845,
        5.156181433215731,
        5.156203845447616,
        5.156226257679499,
        5.156248669911384,
        5.15627060528727,
        5.156293017519155,
        5.1563154297510385,
        5.156337841982923,
        5.1563597773588095,
        5.156382189590693,
        5.156404601822578,
        5.156426537198464,
        5.156448949430349,
        5.156471361662232,
        5.156493773894117,
        5.156515709270003,
        5.156538121501888,
        5.156560533733772,
        5.156582469109658,
        5.156604881341543,
        5.156627293573427,
        5.1566492289493135,
        5.156671641181197,
        5.156694053413082,
        5.1567164656449656,
        5.156738401020853,
        5.1567608132527365,
        5.156783225484621,
        5.156805160860507,
        5.156827573092392,
        5.156849985324276,
        5.156871920700162,
        5.156894332932047,
        5.156916268307933,
        5.156938680539818,
        5.156961092771701,
        5.156983028147589,
        5.157005440379472,
        5.157027852611357,
        5.157049787987243,
        5.157072200219128,
        5.157094135595014,
        5.157116547826898,
        5.1571389600587825,
        5.157160895434669,
        5.157183307666553,
        5.157205719898437,
        5.157227655274324,
        5.157250067506208,
        5.157272002882094,
        5.157294415113979,
        5.157316350489865,
        5.15733876272175,
        5.157361174953634,
        5.157383110329521,
        5.157405522561405,
        5.157427457937291,
        5.1574498701691756,
        5.157471805545062,
        5.1574942177769465,
        5.15751663000883,
        5.157538565384717,
        5.157560977616601,
        5.1575829129924875,
        5.157605325224372,
        5.1576272606002584,
        5.157649672832143,
        5.157671608208029,
        5.157694020439914,
        5.1577159558158,
        5.157738368047685,
        5.157760303423571,
        5.157782715655455,
        5.15780512788734,
        5.157827063263226,
        5.1578494754951105,
        5.157871410870997,
        5.1578938231028815,
        5.157915758478768,
        5.1579381707106515,
        5.157960106086539,
        5.157982041462425,
        5.15800445369431,
        5.158026389070196,
        5.15804880130208,
        5.158070736677967,
        5.158093148909851,
        5.158115084285738,
        5.158137496517622,
        5.158159431893508,
        5.158181844125393,
        5.158203779501279,
        5.1582261917331635,
        5.15824812710905,
        5.158270062484936,
        5.158292474716821,
        5.158314410092707,
        5.158336822324592,
        5.158358757700478,
        5.158381169932363,
        5.158403105308249,
        5.158425040684135,
        5.15844745291602,
        5.158469388291906,
        5.158491800523791,
        5.158513735899677,
        5.158536148131561,
        5.158558083507448,
        5.158580018883335,
        5.158602431115219,
        5.158624366491106,
        5.158646301866992,
        5.1586687140988765,
        5.158690649474763,
        5.1587130617066475,
        5.158734997082534,
        5.15875693245842,
        5.158779344690305,
        5.158801280066191,
        5.1588232154420774,
        5.158845627673962,
        5.158867563049848,
        5.158889498425736,
        5.158911910657619,
        5.158933846033506,
        5.158955781409393,
        5.158978193641277,
        5.159000129017164,
        5.15902206439305,
        5.159044476624934,
        5.159066412000821,
        5.1590883473767075,
        5.159110759608592,
        5.1591326949844785,
        5.159154630360365,
        5.159177042592249,
        5.159198977968136,
        5.159220913344022,
        5.159243325575907,
        5.159265260951793,
        5.159287196327679,
        5.159309131703567,
        5.15933154393545,
        5.159353479311338,
        5.159375414687224,
        5.15939735006311,
        5.159419762294995,
        5.159441697670881,
        5.159463633046768,
        5.159486045278652,
        5.1595079806545385,
        5.159529916030426,
        5.159551851406312,
        5.159574263638196,
        5.159596199014083,
        5.159618134389969,
        5.159640069765856,
        5.159662005141743,
        5.159684417373627,
        5.159706352749514,
        5.1597282881254,
        5.159750223501287,
        5.159772635733171,
        5.159794571109058,
        5.159816506484944,
        5.159838441860831,
        5.1598603772367175,
        5.159882789468601,
        5.1599047248444885,
        5.159926660220375,
        5.159948595596261,
        5.159970530972148,
        5.159992466348035,
        5.160014878579919,
        5.160036813955806,
        5.160058749331692,
        5.160080684707579,
        5.160102620083466,
        5.160124555459352,
        5.160146967691237,
        5.160168903067123,
        5.160190838443009,
        5.1602127738188965,
        5.160234709194783,
        5.160256644570669,
        5.1602785799465565,
        5.16030099217844,
        5.1603229275543265,
        5.160344862930214,
        5.1603667983061,
        5.1603887336819865,
        5.160410669057874,
        5.16043260443376,
        5.160454539809646,
        5.160476475185534,
        5.160498887417417,
        5.160520822793305,
        5.160542758169191,
        5.160564693545077,
        5.160586628920964,
        5.160608564296851,
        5.160630499672737,
        5.160652435048624,
        5.160674370424511,
        5.160696305800397,
        5.1607182411762835,
        5.160740176552171,
        5.160762111928057,
        5.160784524159942,
        5.160806459535828,
        5.160828394911714,
        5.160850330287601,
        5.160872265663488,
        5.160894201039374,
        5.160916136415261,
        5.160938071791148,
        5.160960007167034,
        5.160981942542921,
        5.161003877918808,
        5.161025813294694,
        5.161047748670581,
        5.161069684046468,
        5.161091619422354,
        5.1611135547982405,
        5.161135490174128,
        5.161157425550014,
        5.1611793609259005,
        5.161201296301788,
        5.161223231677674,
        5.16124516705356,
        5.161267102429448,
        5.161289037805334,
        5.16131097318122,
        5.161332908557107,
        5.161354843932994,
        5.16137677930888,
        5.161398714684767,
        5.161420650060654,
        5.16144258543654,
        5.161464520812427,
        5.1614859793323165,
        5.161507914708203,
        5.161529850084089,
        5.1615517854599755,
        5.161573720835863,
        5.161595656211749,
        5.1616175915876354,
        5.161639526963523,
        5.161661462339409,
        5.161683397715295,
        5.161705333091183,
        5.161727268467069,
        5.161749203842955,
        5.161770662362844,
        5.161792597738732,
        5.161814533114618,
        5.161836468490504,
        5.1618584038663915,
        5.161880339242278,
        5.161902274618164,
        5.161924209994051,
        5.161946145369938,
        5.161967603889827,
        5.161989539265713,
        5.1620114746416,
        5.162033410017487,
        5.162055345393373,
        5.16207728076926,
        5.162099216145147,
        5.162120674665036,
        5.162142610040922,
        5.162164545416809,
        5.162186480792696,
        5.162208416168582,
        5.162230351544469,
        5.162251810064358,
        5.1622737454402445,
        5.162295680816131,
        5.162317616192018,
        5.1623395515679045,
        5.1623610100877935,
        5.162382945463681,
        5.162404880839567,
        5.162426816215453,
        5.162448751591341,
        5.16247021011123,
        5.162492145487116,
        5.162514080863002,
        5.16253601623889,
        5.162557951614776,
        5.162579410134665,
        5.162601345510551,
        5.1626232808864385,
        5.162645216262325,
        5.162666674782214,
        5.1626886101581,
        5.1627105455339874,
        5.162732480909874,
        5.162753939429763,
        5.162775874805649,
        5.162797810181536,
        5.162819745557423,
        5.162841204077312,
        5.162863139453199,
        5.162885074829085,
        5.162907010204972,
        5.162928468724861,
        5.162950404100748,
        5.162972339476634,
        5.162993797996523,
        5.16301573337241,
        5.163037668748297,
        5.163059127268186,
        5.163081062644072,
        5.1631029980199585,
        5.163124933395846,
        5.163146391915735,
        5.163168327291621,
        5.163190262667508,
        5.163211721187397,
        5.163233656563284,
        5.16325559193917,
        5.163277050459059,
        5.163298985834946,
        5.163320921210833,
        5.163342379730722,
        5.163364315106608,
        5.163386250482495,
        5.163407709002384,
        5.163429644378271,
        5.16345110289816,
        5.163473038274047,
        5.163494973649933,
        5.163516432169822,
        5.1635383675457085,
        5.163560302921596,
        5.163581761441485,
        5.163603696817371,
        5.16362515533726,
        5.163647090713147,
        5.163669026089034,
        5.163690484608923,
        5.163712419984809,
        5.163733878504698,
        5.163755813880585,
        5.163777749256472,
        5.163799207776361,
        5.163821143152248,
        5.163842601672137,
        5.163864537048023,
        5.163885995567912,
        5.1639079309437985,
        5.163929866319686,
        5.163951324839575,
        5.163973260215461,
        5.16399471873535,
        5.164016654111237,
        5.164038112631126,
        5.164060048007013,
        5.164081506526902,
        5.164103441902788,
        5.164124900422678,
        5.164146835798564,
        5.164168294318453,
        5.16419022969434,
        5.164211688214229,
        5.164233623590116,
        5.164255082110005,
        5.164277017485891,
        5.16429847600578,
        5.164320411381667,
        5.164341869901556,
        5.164363805277443,
        5.164385263797332,
        5.164407199173218,
        5.164428657693108,
        5.164450593068994,
        5.164472051588883,
        5.16449398696477,
        5.164515445484659,
        5.164537380860546,
        5.164558839380435,
        5.164580774756321,
        5.16460223327621,
        5.1646241686520975,
        5.1646456271719865,
        5.1646670856918755,
        5.164689021067762,
        5.164710479587651,
        5.164732414963538,
        5.164753873483427,
        5.164775808859313,
        5.164797267379202,
        5.164818725899091,
        5.164840661274979,
        5.164862119794868,
        5.164884055170754,
        5.164905513690643,
        5.164926972210532,
        5.164948907586419,
        5.164970366106308,
        5.164992301482195,
        5.165013760002084,
        5.165035218521973,
        5.16505715389786,
        5.165078612417749,
        5.165100547793635,
        5.165122006313524,
        5.165143464833413,
        5.1651654002093,
        5.165186858729189,
        5.165208317249078,
        5.165230252624965,
        5.165251711144854,
        5.165273169664743,
        5.16529510504063,
        5.165316563560519,
        5.165338022080408,
        5.165359957456294,
        5.165381415976183,
        5.165402874496072,
        5.1654248098719595,
        5.1654462683918485,
        5.1654677269117375,
        5.165489662287624,
        5.165511120807513,
        5.165532579327403,
        5.165554037847292,
        5.165575973223178,
        5.165597431743067,
        5.165618890262956,
        5.165640825638843,
        5.165662284158732,
        5.165683742678621,
        5.16570520119851,
        5.165727136574397,
        5.165748595094286,
        5.165770053614175,
        5.165791988990062,
        5.165813447509951,
        5.16583490602984,
        5.165856364549729,
        5.165878299925615,
        5.165899758445505,
        5.165921216965394,
        5.165942675485283,
        5.165964134005172,
        5.165986069381058,
        5.166007527900947,
        5.166028986420836,
        5.166050444940726,
        5.166072380316613,
        5.166093838836502,
        5.166115297356391,
        5.16613675587628,
        5.166158214396169,
        5.166180149772056,
        5.166201608291945,
        5.166223066811834,
        5.166244525331723,
        5.166265983851612,
        5.166287919227498,
        5.166309377747388,
        5.166330836267277,
        5.166352294787166,
        5.166373753307055,
        5.166395211826944,
        5.166416670346833,
        5.166438605722719,
        5.166460064242609,
        5.166481522762498,
        5.166502981282387,
        5.166524439802276,
        5.166545898322165,
        5.166567356842054,
        5.166589292217941,
        5.1666107507378305,
        5.1666322092577195,
        5.1666536677776085,
        5.1666751262974975,
        5.1666965848173865,
        5.1667180433372755,
        5.1667395018571645,
        5.166761437233052,
        5.166782895752941,
        5.16680435427283,
        5.166825812792719,
        5.166847271312608,
        5.166868729832497,
        5.166890188352386,
        5.166911646872275,
        5.166933105392164,
        5.1669545639120535,
        5.1669760224319425,
        5.1669974809518315,
        5.1670189394717205,
        5.167040874847607,
        5.167062333367496,
        5.167083791887386,
        5.167105250407275,
        5.167126708927164,
        5.167148167447053,
        5.167169625966942,
        5.167191084486831,
        5.16721254300672,
        5.167234001526609,
        5.167255460046498,
        5.167276918566388,
        5.167298377086277,
        5.167319835606166,
        5.167341294126055,
        5.167362752645944,
        5.167384211165833,
        5.167405669685722,
        5.167427128205611,
        5.1674485867255,
        5.167470045245389,
        5.167491503765278,
        5.167512962285167,
        5.167534420805056,
        5.167555879324945,
        5.167577337844834,
        5.167598796364723,
        5.167620254884612,
        5.167641713404502,
        5.167663171924391,
        5.16768463044428,
        5.167705612108172,
        5.167727070628061,
        5.16774852914795,
        5.167769987667839,
        5.167791446187728,
        5.167812904707617,
        5.167834363227506,
        5.167855821747395,
        5.167877280267285,
        5.167898738787174,
        5.167920197307063,
        5.167941655826952,
        5.167963114346841,
        5.167984096010732,
        5.168005554530621,
        5.16802701305051,
        5.168048471570399,
        5.168069930090288,
        5.168091388610178,
        5.168112847130067,
        5.168134305649956,
        5.168155287313848,
        5.168176745833737,
        5.168198204353626,
        5.168219662873515,
        5.168241121393404,
        5.168262579913293,
        5.168284038433182,
        5.1683050200970735,
        5.1683264786169625,
        5.168347937136852,
        5.168369395656741,
        5.16839085417663,
        5.168412312696519,
        5.168433294360411,
        5.1684547528803,
        5.168476211400189,
        5.168497669920078,
        5.168519128439967,
        5.168540586959856,
        5.168561568623748,
        5.168583027143637,
        5.1686044856635265,
        5.1686259441834155,
        5.1686474027033045,
        5.168668384367196,
        5.168689842887085,
        5.168711301406974,
        5.168732759926863,
        5.168753741590755,
        5.168775200110644,
        5.168796658630533,
        5.168818117150422,
        5.168839098814313,
        5.168860557334202,
        5.168882015854091,
        5.168903474373981,
        5.168924456037872,
        5.168945914557762,
        5.168967373077651,
        5.16898883159754,
        5.1690098132614315,
        5.1690312717813205,
        5.1690527303012095,
        5.1690741888210985,
        5.16909517048499,
        5.169116629004879,
        5.169138087524768,
        5.16915906918866,
        5.169180527708549,
        5.169201986228438,
        5.169222967892329,
        5.169244426412218,
        5.169265884932107,
        5.169287343451997,
        5.169308325115888,
        5.169329783635778,
        5.169351242155667,
        5.1693722238195585,
        5.1693936823394475,
        5.1694151408593365,
        5.169436122523228,
        5.169457581043117,
        5.169479039563006,
        5.169500021226898,
        5.169521479746787,
        5.169542461410678,
        5.169563919930567,
        5.169585378450456,
        5.169606360114348,
        5.169627818634237,
        5.169649277154126,
        5.169670258818018,
        5.169691717337907,
        5.169712699001798,
        5.169734157521687,
        5.169755616041577,
        5.169776597705468,
        5.169798056225358,
        5.169819037889249,
        5.1698404964091385,
        5.1698619549290274,
        5.169882936592919,
        5.169904395112808,
        5.1699253767767,
        5.169946835296589,
        5.16996781696048,
        5.169989275480369,
        5.170010734000258,
        5.17003171566415,
        5.170053174184039,
        5.170074155847931,
        5.17009561436782,
        5.170116596031711,
        5.1701380545516,
        5.170159036215492,
        5.170180494735381,
        5.1702014763992725,
        5.1702229349191615,
        5.1702443934390505,
        5.170265375102942,
        5.170286833622831,
        5.170307815286723,
        5.170329273806612,
        5.170350255470503,
        5.170371713990392,
        5.170392695654284,
        5.170414154174173,
        5.170435135838065,
        5.170456594357954,
        5.170477576021845,
        5.170498557685737,
        5.170520016205626,
        5.170540997869518,
        5.170562456389407,
        5.170583438053298,
        5.170604896573187,
        5.170625878237079,
        5.170647336756968,
        5.1706683184208595,
        5.1706897769407485,
        5.17071075860464,
        5.170731740268532,
        5.170753198788421,
        5.170774180452312,
        5.170795638972201,
        5.170816620636093,
        5.170838079155982,
        5.170859060819874,
        5.170880042483765,
        5.170901501003654,
        5.170922482667546,
        5.170943941187435,
        5.170964922851327,
        5.170985904515218,
        5.171007363035107,
        5.171028344698999,
        5.171049803218888,
        5.1710707848827795,
        5.171091766546671,
        5.17111322506656,
        5.171134206730452,
        5.171155188394343,
        5.171176646914232,
        5.171197628578124,
        5.171219087098013,
        5.171240068761905,
        5.171261050425796,
        5.171282508945685,
        5.171303490609577,
        5.171324472273469,
        5.171345930793358,
        5.171366912457249,
        5.171387894121141,
        5.17140935264103,
        5.1714303343049215,
        5.171451315968813,
        5.171472774488702,
        5.171493756152594,
        5.171514737816485,
        5.171535719480377,
        5.171557178000266,
        5.171578159664158,
        5.171599141328049,
        5.171620599847938,
        5.17164158151183,
        5.171662563175722,
        5.171683544839613,
        5.171705003359502,
        5.171725985023394,
        5.171746966687285,
        5.1717684252071745,
        5.171789406871065,
        5.171810388534957,
        5.1718313701988485,
        5.1718528287187375,
        5.171873810382629,
        5.171894792046521,
        5.1719157737104124,
        5.171937232230301,
        5.171958213894193,
        5.171979195558085,
        5.172000177221976,
        5.172021158885868,
        5.172042617405757,
        5.172063599069649,
        5.17208458073354,
        5.172105562397432,
        5.1721265440613235,
        5.1721480025812125,
        5.172168984245104,
        5.172253387756668,
        5.172274369420559,
        5.1722953510844505,
        5.172316332748342,
        5.172337314412234,
        5.172358296076125,
        5.172379754596014,
        5.172400736259906,
        5.172442699587689,
        5.173194224639805,
        5.174914721078913,
        5.1749352258868075,
        5.174956207550699,
        5.174977189214591,
        5.174997694022484,
        5.175018675686376,
        5.1750396573502675,
        5.175060162158162,
        5.175081143822053,
        5.175102125485945,
        5.1751226302938385,
        5.17514361195773,
        5.175164593621622,
        5.175185098429516,
        5.175206080093408,
        5.175227061757299,
        5.175247566565194,
        5.175268548229084,
        5.175289529892976,
        5.17531003470087,
        5.175331016364762,
        5.1753519980286535,
        5.175372502836548,
        5.1753934845004395,
        5.17541446616433,
        5.1754349709722245,
        5.175455952636116,
        5.17547645744401,
        5.175497439107902,
        5.175518420771794,
        5.175538925579687,
        5.175559907243579,
        5.175580412051473,
        5.175601393715365,
        5.175622375379256,
        5.17564288018715,
        5.175663861851041,
        5.175684366658936,
        5.175705348322827,
        5.175726329986719,
        5.175746834794613,
        5.175767816458505,
        5.175788321266398,
        5.17580930293029,
        5.175933762345647,
        5.175954744009538,
        5.175975248817433,
        5.175996230481324,
        5.176016735289218,
        5.176037716953109,
        5.176058221761004,
        5.176079203424895,
        5.1760997082327895,
        5.17612068989668,
        5.176141194704575,
        5.176162176368466,
        5.1761826811763605,
        5.176203662840252,
        5.1762241676481455,
        5.176245149312037,
        5.1762656541199314,
        5.176286158927826,
        5.176307140591717,
        5.176327645399611,
        5.176348627063502,
        5.176369131871397,
        5.176390113535288,
        5.176410618343183,
        5.176431600007073,
        5.176452104814968,
        5.176473086478859,
        5.176493591286754,
        5.176514096094648,
        5.176535077758539,
        5.176555582566433,
        5.1765765642303245,
        5.176597069038219,
        5.1766180507021105,
        5.176638555510004,
        5.176659060317898,
        5.17668004198179,
        5.176700546789684,
        5.176721528453576,
        5.176742033261469,
        5.176762538069363,
        5.176783519733255,
        5.176804024541149,
        5.176824529349043,
        5.176845511012934,
        5.176866015820829,
        5.17688699748472,
        5.1769075022926145,
        5.176928007100508,
        5.1769489887644,
        5.176969493572294,
        5.176989998380188,
        5.17701098004408,
        5.177031484851973,
        5.1770519896598675,
        5.177072971323759,
        5.177093476131653,
        5.177113980939547,
        5.177134962603438,
        5.177155467411333,
        5.177175972219227,
        5.177196953883119,
        5.177217458691012,
        5.177237963498906,
        5.177258468306801,
        5.177279449970692,
        5.177299954778586,
        5.17732045958648,
        5.1773414412503715,
        5.177361946058266,
        5.177382450866159,
        5.1774029556740535,
        5.177423937337945,
        5.177444442145839,
        5.177464946953733,
        5.177485451761627,
        5.177506433425519,
        5.177526938233413,
        5.177547443041307,
        5.177567947849201,
        5.177588929513092,
        5.177609434320987,
        5.177629939128881,
        5.177650443936774,
        5.177671425600666,
        5.17769193040856,
        5.1777124352164545,
        5.177732940024348,
        5.177753444832242,
        5.177774426496134,
        5.177794931304028,
        5.1778154361119215,
        5.177835940919816,
        5.17785644572771,
        5.177877427391602,
        5.177897932199495,
        5.177918437007389,
        5.177938941815284,
        5.177959446623178,
        5.177979951431071,
        5.178000933094963,
        5.178021437902857,
        5.178041942710752,
        5.178062447518645,
        5.178082952326539,
        5.1781034571344335,
        5.178123961942327,
        5.178144943606219,
        5.178165448414113,
        5.178185953222007,
        5.1782064580299005,
        5.178226962837795,
        5.178247467645689,
        5.178267972453583,
        5.178288477261477,
        5.178309458925368,
        5.178329963733263,
        5.178350468541157,
        5.17837097334905,
        5.178391478156945,
        5.178411982964839,
        5.178432487772732,
        5.178452992580627,
        5.178473497388521,
        5.178494002196415,
        5.178514507004309,
        5.178535011812203,
        5.1785559934760945,
        5.178576498283989,
        5.178597003091882,
        5.1786175078997765,
        5.178638012707671,
        5.178658517515565,
        5.1786790223234584,
        5.178699527131353,
        5.178720031939247,
        5.17874053674714,
        5.178761041555035,
        5.178781546362929,
        5.178802051170822,
        5.178822555978717,
        5.178843060786611,
        5.178863565594505,
        5.178884070402399,
        5.178904575210293,
        5.178925080018187,
        5.178945584826081,
        5.178966089633975,
        5.178986594441869,
        5.179007099249763,
        5.179027604057657,
        5.179048108865551,
        5.179068613673445,
        5.179089118481339,
        5.179109623289233,
        5.179130128097127,
        5.179150632905022,
        5.179171137712915,
        5.179191642520809,
        5.179211670472705,
        5.1792321752806,
        5.179252680088494,
        5.179273184896388,
        5.179293689704282,
        5.179314194512176,
        5.17933469932007,
        5.179355204127964,
        5.179375708935858,
        5.179396213743752,
        5.179416718551646,
        5.17943722335954,
        5.179457251311437,
        5.179477756119331,
        5.179498260927224,
        5.179518765735119,
        5.179539270543013,
        5.179559775350906,
        5.179580280158801,
        5.179600784966695,
        5.179620812918591,
        5.179641317726485,
        5.17966182253438,
        5.179682327342273,
        5.179702832150167,
        5.1797233369580615,
        5.179743841765956,
        5.179763869717852,
        5.179784374525746,
        5.1798048793336395,
        5.179825384141534,
        5.179845888949428,
        5.179866393757322,
        5.179886421709218,
        5.179906926517113,
        5.179927431325007,
        5.1799479361329,
        5.179968440940795,
        5.179988468892691,
        5.180008973700585,
        5.180029478508479,
        5.180049983316374,
        5.180070488124267,
        5.180090516076164,
        5.180111020884058,
        5.180131525691952,
        5.180152030499846,
        5.180172058451742,
        5.180192563259636,
        5.1802130680675305,
        5.180233572875425,
        5.180253600827321,
        5.180274105635215,
        5.180294610443109,
        5.180315115251003,
        5.1803351432029,
        5.180355648010793,
        5.180376152818687,
        5.180396657626582,
        5.180416685578478,
        5.180437190386372,
        5.180457695194266,
        5.180477723146162,
        5.180498227954057,
        5.180518732761951,
        5.180538760713847,
        5.180559265521741,
        5.1805797703296355,
        5.180600275137529,
        5.180620303089426,
        5.18064080789732,
        5.1806613127052135,
        5.18068134065711,
        5.180701845465005,
        5.180722350272898,
        5.180742378224795,
        5.180762883032688,
        5.180783387840583,
        5.18080341579248,
        5.180823920600373,
        5.18084394855227,
        5.180864453360164,
        5.180884958168058,
        5.1809049861199545,
        5.180925490927849,
        5.180945995735742,
        5.180966023687639,
        5.1809865284955325,
        5.1810065564474295,
        5.181027061255324,
        5.181047566063217,
        5.181067594015114,
        5.181088098823008,
        5.181108126774904,
        5.181128631582799,
        5.181149136390693,
        5.181169164342589,
        5.181189669150483,
        5.181209697102379,
        5.181230201910274,
        5.18125022986217,
        5.181270734670064,
        5.181291239477958,
        5.181311267429854,
        5.1813317722377485,
        5.1813518001896455,
        5.181372304997539,
        5.181392332949436,
        5.18141283775733,
        5.181432865709226,
        5.18145337051712,
        5.1814733984690164,
        5.181493903276911,
        5.181513931228807,
        5.181534436036701,
        5.181554463988598,
        5.181574968796491,
        5.181594996748388,
        5.181615501556283,
        5.181635529508179,
        5.181656034316073,
        5.181676062267969,
        5.181696567075863,
        5.18171659502776,
        5.181737099835654,
        5.1817571277875505,
        5.181777632595445,
        5.181797660547341,
        5.181818165355235,
        5.181838193307131,
        5.181858698115025,
        5.1818787260669215,
        5.181898754018818,
        5.181919258826713,
        5.181939286778609,
        5.181959791586503,
        5.181979819538399,
        5.182000324346293,
        5.18202035229819,
        5.182040380250086,
        5.182060885057981,
        5.182080913009877,
        5.182101417817771,
        5.182121445769668,
        5.182141473721564,
        5.182161978529458,
        5.182182006481354,
        5.1822025112892485,
        5.182222539241145,
        5.182242567193041,
        5.182263072000936,
        5.182283099952832,
        5.182303127904729,
        5.182323632712622,
        5.182343660664519,
        5.182363688616415,
        5.182384193424309,
        5.182404221376206,
        5.182424249328102,
        5.182444754135997,
        5.182464782087893,
        5.18248481003979,
        5.182505314847684,
        5.18252534279958,
        5.182545370751477,
        5.18256587555937,
        5.182585903511267,
        5.182605931463163,
        5.1826264362710575,
        5.182646464222954,
        5.18266649217485,
        5.182686996982745,
        5.182707024934641,
        5.182727052886538,
        5.182747080838434,
        5.182767585646328,
        5.182787613598225,
        5.182807641550121,
        5.182827669502018,
        5.182848174309911,
        5.182868202261808,
        5.182888230213704,
        5.1829087350215985,
        5.1829287629734955,
        5.1829487909253915,
        5.182968818877288,
        5.1829888468291845,
        5.183009351637079,
        5.183029379588975,
        5.183049407540872,
        5.183069435492768,
        5.183089940300662,
        5.183109968252559,
        5.183129996204455,
        5.183150024156352,
        5.183170052108248,
        5.183190556916142,
        5.183210584868038,
        5.183230612819935,
        5.183250640771831,
        5.183270668723728,
        5.183291173531622,
        5.1833112014835185,
        5.183331229435415,
        5.1833512573873115,
        5.183371285339208,
        5.1833913132911045,
        5.183411341243001,
        5.183431846050895,
        5.183451874002792,
        5.183471901954688,
        5.183491929906585,
        5.183511957858481,
        5.183531985810378,
        5.183552013762274,
        5.183572518570168,
        5.183592546522065,
        5.183612574473961,
        5.183632602425858,
        5.183652630377754,
        5.183672658329651,
        5.183692686281547,
        5.183712714233444,
        5.18373274218534,
        5.183752770137237,
        5.18377327494513,
        5.183793302897027,
        5.183813330848923,
        5.18383335880082,
        5.183853386752716,
        5.183873414704613,
        5.183893442656509,
        5.183913470608406,
        5.183933498560302,
        5.183953526512199,
        5.183973554464095,
        5.183993582415992,
        5.184013610367888,
        5.184033638319785,
        5.184053666271681,
        5.184073694223578,
        5.184093722175474,
        5.184113750127371,
        5.184133778079267,
        5.184153806031164,
        5.18417383398306,
        5.184193861934957,
        5.184213889886853,
        5.18423391783875,
        5.184253945790646,
        5.184273973742543,
        5.184294001694439,
        5.184314029646336,
        5.184334057598233,
        5.184354085550129,
        5.184374113502026,
        5.184394141453922,
        5.184414169405819,
        5.184434197357715,
        5.1844542253096115,
        5.184474253261508,
        5.1844942812134045,
        5.1845143091653005,
        5.1845343371171975,
        5.1845543650690935,
        5.18457439302099,
        5.1845944209728865,
        5.184614448924783,
        5.184634000020682,
        5.184654027972578,
        5.184674055924475,
        5.184694083876371,
        5.184714111828268,
        5.184734139780164,
        5.184754167732061,
        5.184774195683957,
        5.184794223635854,
        5.18481425158775,
        5.18483380268365,
        5.184853830635546,
        5.1848738585874425,
        5.184893886539339,
        5.1849139144912355,
        5.1849339424431315,
        5.1849539703950285,
        5.1849739983469245,
        5.184993549442824,
        5.18501357739472,
        5.185033605346617,
        5.185053633298513,
        5.18507366125041,
        5.185093689202306,
        5.185113240298206,
        5.185133268250102,
        5.185153296201999,
        5.185173324153895,
        5.185193352105792,
        5.18521290320169,
        5.185232931153586,
        5.185252959105483,
        5.185272987057379,
        5.185293015009276,
        5.185312566105175,
        5.185332594057072,
        5.185352622008968,
        5.185372649960865,
        5.1853922010567635,
        5.18541222900866,
        5.185432256960556,
        5.185452284912453,
        5.185472312864349,
        5.185491863960248,
        5.185511891912145,
        5.185531919864041,
        5.185551947815938,
        5.185571498911837,
        5.185591526863734,
        5.18561155481563,
        5.185631105911528,
        5.185651133863425,
        5.185671161815322,
        5.185691189767218,
        5.185710740863117,
        5.185730768815014,
        5.18575079676691,
        5.185770347862809,
        5.1857903758147055,
        5.185810403766602,
        5.185829954862501,
        5.185849982814397,
        5.185870010766294,
        5.185889561862193,
        5.18590958981409,
        5.185929617765986,
        5.185949168861885,
        5.185969196813781,
        5.185989224765678,
        5.186008775861577,
        5.186028803813473,
        5.18604883176537,
        5.186068382861269,
        5.1860884108131655,
        5.186108438765062,
        5.186127989860961,
        5.186148017812857,
        5.186167568908756,
        5.186187596860653,
        5.186207624812549,
        5.186227175908448,
        5.186247203860344,
        5.186267231812241,
        5.18628678290814,
        5.186306810860037,
        5.186326361955936,
        5.186346389907832,
        5.186365941003731,
        5.186385968955627,
        5.186405996907524,
        5.186425548003423,
        5.186445575955319,
        5.1864651270512185,
        5.186485155003115,
        5.186504706099014,
        5.18652473405091,
        5.186544285146809,
        5.186564313098706,
        5.186584341050602,
        5.186603892146501,
        5.1866239200983975,
        5.186643471194297,
        5.186663499146193,
        5.186683050242092,
        5.186703078193989,
        5.186722629289887,
        5.186742657241784,
        5.186762208337683,
        5.18678223628958,
        5.186801787385479,
        5.186821815337375,
        5.186841366433274,
        5.18686139438517,
        5.186880945481069,
        5.186900973432966,
        5.1869205245288645,
        5.1869405524807615,
        5.18696010357666,
        5.186979654672559,
        5.186999682624456,
        5.1870192337203544,
        5.187039261672251,
        5.18705881276815,
        5.187078840720047,
        5.187098391815946,
        5.187118419767842,
        5.187137970863741,
        5.18715752195964,
        5.187177549911536,
        5.187197101007436,
        5.187217128959332,
        5.187236680055231,
        5.18725623115113,
        5.1872958101989255,
        5.18733538924672,
        5.18735494034262,
        5.187374968294516,
        5.187414547342311,
        5.18743409843821,
        5.18745364953411,
        5.187473677486006,
        5.187493228581905,
        5.187512779677804,
        5.1875328076297,
        5.1875523587256,
        5.187571909821498,
        5.187591937773394,
        5.187611488869294,
        5.187631039965193,
        5.1876510679170895,
        5.187670619012988,
        5.187690170108887,
        5.187710198060784,
        5.1877297491566825,
        5.187749300252581,
        5.187769328204478,
        5.187788879300377,
        5.1878084303962755,
        5.187827981492175,
        5.187848009444071,
        5.187867560539971,
        5.187887111635869,
        5.187907139587765,
        5.187926690683665,
        5.187946241779564,
        5.187965792875462,
        5.187985820827359,
        5.188005371923258,
        5.188024923019157,
        5.188044474115056,
        5.188064502066952,
        5.188084053162852,
        5.1881036042587505,
        5.188123155354649,
        5.188143183306546,
        5.188162734402445,
        5.1881822854983435,
        5.188201836594243,
        5.188221387690142,
        5.188241415642038,
        5.188260966737937,
        5.188280517833836,
        5.188300068929735,
        5.188319620025634,
        5.18833964797753,
        5.188359199073429,
        5.188378750169329,
        5.188398301265227,
        5.188417852361126,
        5.1884374034570255,
        5.188457431408922,
        5.18847698250482,
        5.18849653360072,
        5.1885160846966185,
        5.188535635792517,
        5.188555186888417,
        5.1885747379843155,
        5.1885947659362115,
        5.188614317032111,
        5.18863386812801,
        5.188653419223908,
        5.188672970319808,
        5.188692521415707,
        5.188712072511605,
        5.188731623607505,
        5.188751651559401,
        5.1887712026553,
        5.188790753751199,
        5.188810304847098,
        5.188829855942997,
        5.188849407038896,
        5.188868958134795,
        5.188888509230694,
        5.188908060326593,
        5.188927611422492,
        5.1889471625183905,
        5.188966713614289,
        5.188986264710189,
        5.189006292662085,
        5.189025843757984,
        5.189045394853883,
        5.189064945949782,
        5.189084497045681,
        5.18910404814158,
        5.189123599237479,
        5.189143150333377,
        5.189162701429277,
        5.189182252525176,
        5.189201803621074,
        5.189221354716974,
        5.189240905812873,
        5.189260456908771,
        5.189280008004671,
        5.1892995591005695,
        5.189319110196468,
        5.189338661292367,
        5.1893582123882664,
        5.189377763484165,
        5.189397314580064,
        5.189416865675963,
        5.189436416771862,
        5.189455967867761,
        5.18947551896366,
        5.189495070059559,
        5.189514621155458,
        5.189533695395359,
        5.189553246491259,
        5.189572797587157,
        5.189592348683056,
        5.1896118997789555,
        5.189631450874854,
        5.189651001970753,
        5.189670553066652,
        5.189690104162551,
        5.18970965525845,
        5.1897292063543485,
        5.189748757450248,
        5.189767831690149,
        5.189787382786048,
        5.189806933881947,
        5.189826484977846,
        5.189846036073745,
        5.189865587169644,
        5.189885138265543,
        5.189904689361442,
        5.189924240457341,
        5.189943314697242,
        5.189962865793142,
        5.18998241688904,
        5.190001967984939,
        5.1900215190808385,
        5.190041070176737,
        5.196846758973564,
        5.204432584182358,
        5.20445547327024,
        5.204478362358122,
        5.204501251446004,
        5.204569441853652,
        5.204592330941533,
        5.204615220029415,
        5.204637632261299,
        5.20466052134918,
        5.204683410437062,
        5.204706299524944,
        5.204728711756828,
        5.20475160084471,
        5.2047969021644755,
        5.2048197912523575,
        5.2048426803402394,
        5.2048655694281205,
        5.204887981660005,
        5.204910870747887,
        5.204933759835768,
        5.204956172067653,
        5.204979061155535,
        5.205001950243416,
        5.205024839331298,
        5.205047251563182,
        5.205070140651063,
        5.205093029738945,
        5.20511544197083,
        5.205138331058711,
        5.205161220146593,
        5.2051836323784775,
        5.2052065214663585,
        5.2052294105542405,
        5.205251822786124,
        5.205274711874006,
        5.205297600961888,
        5.205320013193772,
        5.205342902281654,
        5.205365791369536,
        5.205388203601419,
        5.205411092689301,
        5.205433981777183,
        5.205456394009067,
        5.205479283096949,
        5.2055016953288336,
        5.205524584416715,
        5.205547473504597,
        5.205569885736481,
        5.205592774824362,
        5.205615663912244,
        5.205638076144129,
        5.20566096523201,
        5.205683377463894,
        5.205706266551776,
        5.205729155639657,
        5.205751567871542,
        5.205774456959423,
        5.205796869191308,
        5.20581975827919,
        5.205842170511073,
        5.205865059598955,
        5.205887948686837,
        5.205910360918721,
        5.205933250006603,
        5.205955662238487,
        5.2059785513263686,
        5.206000963558253,
        5.206023852646134,
        5.206046741734016,
        5.206182645693314,
        5.206205057925198,
        5.20622794701308,
        5.206250359244964,
        5.206273248332845,
        5.20629566056473,
        5.206318549652612,
        5.206340961884496,
        5.2063638509723775,
        5.206386263204261,
        5.206409152292143,
        5.206431564524028,
        5.206454453611909,
        5.206476865843793,
        5.206499754931675,
        5.206522167163559,
        5.206545056251441,
        5.206567468483325,
        5.206590357571207,
        5.206612769803091,
        5.206635658890972,
        5.206658071122857,
        5.206680960210739,
        5.206703372442623,
        5.2067262615305046,
        5.206748673762388,
        5.20677156285027,
        5.206793975082155,
        5.2068163873140385,
        5.2068392764019205,
        5.206861688633804,
        5.206884577721686,
        5.206906989953571,
        5.206929879041452,
        5.206952291273336,
        5.20697470350522,
        5.206997592593102,
        5.207020004824987,
        5.207042893912868,
        5.207065306144752,
        5.207088195232634,
        5.207110607464518,
        5.2071330196964025,
        5.207155908784284,
        5.207178321016168,
        5.20720121010405,
        5.207223622335934,
        5.207246034567818,
        5.2072689236556995,
        5.207291335887584,
        5.207313748119468,
        5.20733663720735,
        5.207359049439234,
        5.207381938527115,
        5.207404350759,
        5.207426762990884,
        5.207449652078766,
        5.20747206431065,
        5.207494476542534,
        5.207517365630416,
        5.2075397778623,
        5.207562190094184,
        5.207585079182066,
        5.20760749141395,
        5.2076299036458344,
        5.2076527927337155,
        5.2076752049656,
        5.207697617197484,
        5.207720506285366,
        5.20774291851725,
        5.207765330749134,
        5.207787742981019,
        5.2078106320689,
        5.207833044300784,
        5.207855456532669,
        5.20787834562055,
        5.207900757852435,
        5.207923170084318,
        5.2079460591722,
        5.207968471404085,
        5.2079908836359685,
        5.208013295867853,
        5.208036184955734,
        5.2080810094195025,
        5.2084191003217555,
        5.208463924785524,
        5.208486337017408,
        5.208509226105289,
        5.208531638337174,
        5.208554050569058,
        5.208576462800942,
        5.208598875032826,
        5.208621287264711,
        5.208644176352593,
        5.208666588584476,
        5.208689000816361,
        5.208711413048245,
        5.208733825280129,
        5.20875671436801,
        5.208779126599895,
        5.2088015388317785,
        5.208823951063663,
        5.208846363295547,
        5.208868775527431,
        5.208891187759315,
        5.208914076847197,
        5.208936489079082,
        5.208958901310965,
        5.20898131354285,
        5.209003725774734,
        5.209026138006618,
        5.209048550238502,
        5.209071439326384,
        5.2090938515582685,
        5.209116263790152,
        5.2091610882539205,
        5.209250737181457,
        5.2096322219794855,
        5.212795207811139,
        5.217799811505274,
        5.2179524054244855,
        5.217974340800372,
        5.217996276176258,
        5.218126934719583,
        5.21814887009547,
        5.218170805471357,
        5.218192263991246,
        5.218214199367132,
        5.218236134743019,
        5.218279528638795,
        5.218301464014681,
        5.2183233993905676,
        5.2183448579104565,
        5.218366793286344,
        5.21838872866223,
        5.218410187182119,
        5.218432122558006,
        5.218454057933893,
        5.218475516453782,
        5.218497451829668,
        5.218519387205555,
        5.218540845725444,
        5.218562781101331,
        5.218584716477217,
        5.218606174997106,
        5.218628110372993,
        5.21865004574888,
        5.218671504268769,
        5.218693439644656,
        5.218715375020542,
        5.218736833540431,
        5.2187587689163175,
        5.2187802274362065,
        5.218802162812094,
        5.21882409818798,
        5.218845556707869,
        5.218867492083755,
        5.218889427459643,
        5.218910885979532,
        5.218932821355418,
        5.218954279875307,
        5.218976215251194,
        5.218997673771083,
        5.21901960914697,
        5.219041544522856,
        5.219063003042746,
        5.219084938418632,
        5.219106396938521,
        5.2191283323144075,
        5.219150267690295,
        5.219171726210184,
        5.21919366158607,
        5.219215120105959,
        5.2192370554818455,
        5.219258514001735,
        5.219280449377622,
        5.219301907897511,
        5.219323843273397,
        5.219345301793286,
        5.219367237169173,
        5.21938917254506,
        5.219410631064949,
        5.219432566440836,
        5.219454024960725,
        5.219475960336611,
        5.2194974188565,
        5.2195193542323866,
        5.219540812752276,
        5.219562748128163,
        5.219584206648052,
        5.219606142023938,
        5.219627600543827,
        5.219649535919714,
        5.219670994439603,
        5.219692452959492,
        5.219714388335379,
        5.219735846855268,
        5.219757782231155,
        5.219779240751044,
        5.21980117612693,
        5.219822634646819,
        5.2198445700227065,
        5.2198660285425955,
        5.219887963918482,
        5.219909422438371,
        5.219931357814257,
        5.219952816334147,
        5.219974274854036,
        5.219996210229922,
        5.220017668749811,
        5.220039604125698,
        5.220061062645588,
        5.220082521165477,
        5.220104456541363,
        5.220125915061252,
        5.220147850437138,
        5.220169308957028,
        5.220190767476917,
        5.220212702852804,
        5.220234161372693,
        5.220256096748579,
        5.220277555268468,
        5.220299013788358,
        5.220320949164244,
        5.220342407684133,
        5.220363866204022,
        5.2203858015799085,
        5.220407260099798,
        5.220429195475685,
        5.220450653995574,
        5.220472112515463,
        5.220494047891349,
        5.220752980698011,
        5.220774916073898,
        5.220796374593787,
        5.220817833113676,
        5.220839768489562,
        5.220861227009451,
        5.220882685529341,
        5.22090414404923,
        5.220926079425117,
        5.220947537945006,
        5.220968996464895,
        5.220990931840782,
        5.221012390360671,
        5.22103384888056,
        5.221055307400449,
        5.221077242776335,
        5.221098701296224,
        5.221120159816113,
        5.221141618336003,
        5.2211635537118894,
        5.221185012231778,
        5.221206470751667,
        5.221227929271556,
        5.221249387791445,
        5.221271323167333,
        5.221292781687222,
        5.221314240207111,
        5.221335698727,
        5.221357157246889,
        5.221379092622775,
        5.221400551142665,
        5.221422009662554,
        5.221443468182443,
        5.221464926702332,
        5.221486862078218,
        5.221508320598107,
        5.221529779117996,
        5.221551237637886,
        5.221572696157775,
        5.22161609005355,
        5.221637548573439,
        5.221659007093328,
        5.221680465613217,
        5.221701924133107,
        5.221723382652996,
        5.221744841172885,
        5.221766776548772,
        5.221788235068661,
        5.22180969358855,
        5.221831152108439,
        5.2218526106283285,
        5.2218740691482175,
        5.2218955276681065,
        5.2219169861879955,
        5.2219384447078845,
        5.221960380083771,
        5.22198183860366,
        5.22200329712355,
        5.222024755643439,
        5.222046214163328,
        5.222067672683217,
        5.222089131203106,
        5.222110589722995,
        5.222132048242884,
        5.222153506762773,
        5.222174965282663,
        5.222196423802552,
        5.222218359178438,
        5.222239817698327,
        5.222261276218216,
        5.222282734738105,
        5.222304193257994,
        5.222325651777884,
        5.222347110297773,
        5.222368568817662,
        5.222390027337551,
        5.22241148585744,
        5.222432944377329,
        5.222454402897218,
        5.222475861417107,
        5.222497319936996,
        5.222518778456886,
        5.222540236976775,
        5.222561695496664,
        5.222583154016553,
        5.222604612536442,
        5.222626071056331,
        5.22264752957622,
        5.222668988096109,
        5.222690446615998,
        5.2227119051358875,
        5.2227333636557765,
        5.2227548221756654,
        5.222776280695554,
        5.222797739215443,
        5.222819197735332,
        5.222840656255221,
        5.222861637919113,
        5.222883096439002,
        5.222904554958891,
        5.222926013478781,
        5.22294747199867,
        5.222968930518559,
        5.222990389038448,
        5.223011847558337,
        5.223033306078226,
        5.223054764598115,
        5.223076223118004,
        5.223097681637893,
        5.223119140157783,
        5.223140121821674,
        5.223161580341563,
        5.223397147204346,
        5.223418605724235,
        5.223440064244124,
        5.223461522764013,
        5.2234825044279045,
        5.2235039629477935,
        5.2235254214676825,
        5.2235468799875715,
        5.2235683385074605,
        5.22358979702735,
        5.223610778691241,
        5.223632237211131,
        5.22365369573102,
        5.223675154250909,
        5.223696612770798,
        5.22371759443469,
        5.223739052954579,
        5.223760511474468,
        5.223781969994357,
        5.223803428514246,
        5.223824410178137,
        5.223845868698026,
        5.223867327217915,
        5.223888785737805,
        5.223909767401696,
        5.223931225921586,
        5.223952684441475,
        5.223974142961364,
        5.223995124625255,
        5.224016583145144,
        5.224038041665033,
        5.224059500184922,
        5.224080481848814,
        5.224101940368703,
        5.224123398888592,
        5.224144857408481,
        5.224165839072373,
        5.224187297592262,
        5.224208756112151,
        5.224229737776042,
        5.224251196295932,
        5.224272654815821,
        5.22429411333571,
        5.224315094999602,
        5.224336553519491,
        5.22435801203938,
        5.224378993703271,
        5.22440045222316,
        5.224421910743049,
        5.224442892406941,
        5.22446435092683,
        5.224485809446719,
        5.224506791110611,
        5.2245282496305,
        5.224549708150389,
        5.22457068981428,
        5.224592148334169,
        5.224613606854058,
        5.22463458851795,
        5.224656047037839,
        5.224677505557729,
        5.224911164996521,
        5.225059944067752,
        5.225081402587641,
        5.2251023842515325,
        5.2251238427714215,
        5.2251453012913105,
        5.225166282955202,
        5.225187741475091,
        5.225208723138983,
        5.225230181658872,
        5.225251163322763,
        5.225272621842652,
        5.225293603506544,
        5.225315062026433,
        5.225336043690325,
        5.225357502210214,
        5.225378483874105,
        5.225399942393995,
        5.225420924057886,
        5.225442382577776,
        5.225463364241667,
        5.2254848227615565,
        5.225505804425447,
        5.225527262945337,
        5.225548244609229,
        5.225569703129118,
        5.225590684793009,
        5.225612143312898,
        5.22563312497679,
        5.225654583496679,
        5.225675565160571,
        5.22569702368046,
        5.225718005344351,
        5.22573946386424,
        5.225760445528132,
        5.2257814271920235,
        5.2258028857119125,
        5.225823867375804,
        5.225845325895693,
        5.225866307559585,
        5.225887766079474,
        5.2259087477433654,
        5.225929729407257,
        5.225951187927146,
        5.225972169591038,
        5.225993628110927,
        5.226014609774818,
        5.22603559143871,
        5.226057049958599,
        5.226078031622491,
        5.22609949014238,
        5.226120471806271,
        5.226141453470162,
        5.226162911990052,
        5.2261838936539435,
        5.2262053521738325,
        5.226226333837724,
        5.226247315501615,
        5.226268774021505,
        5.2262897556853956,
        5.226310737349287,
        5.226332195869177,
        5.226353177533068,
        5.2263741591969595,
        5.2263956177168485,
        5.22641659938074,
        5.226437581044632,
        5.226459039564521,
        5.226480021228412,
        5.226501002892304,
        5.226522461412193,
        5.226543443076085,
        5.226564424739976,
        5.226585406403868,
        5.226606864923757,
        5.226627846587649,
        5.22664882825154,
        5.226670286771429,
        5.226691268435321,
        5.2267122500992125,
        5.226733231763104,
        5.226754690282993,
        5.226775671946885,
        5.226796653610776,
        5.226818112130665,
        5.226839093794557,
        5.226860075458449,
        5.22688105712234,
        5.226902515642229,
        5.226923497306121,
        5.226944478970013,
        5.226965460633904,
        5.226986442297795,
        5.227007900817685,
        5.227028882481576,
        5.227049864145467,
        5.227070845809359,
        5.227092304329248,
        5.2271132859931395,
        5.227134267657031,
        5.227155249320923,
        5.227176230984814,
        5.227197689504703,
        5.227218671168595,
        5.227239652832487,
        5.227260634496378,
        5.22728161616027,
        5.227302597824162,
        5.227324056344051,
        5.227345038007942,
        5.227366019671834,
        5.2273870013357255,
        5.227407982999617,
        5.227428964663508,
        5.227450423183398,
        5.227471404847289,
        5.22749238651118,
        5.227513368175072,
        5.2275343498389635,
        5.227555331502855,
        5.227576313166747,
        5.227597294830638,
        5.227618753350527,
        5.227639735014419,
        5.227660716678311,
        5.227681698342202,
        5.227702680006094,
        5.227723661669986,
        5.227744643333877,
        5.227765624997768,
        5.22778660666166,
        5.227807588325551,
        5.227828569989443,
        5.227850028509332,
        5.2278710101732235,
        5.227891991837115,
        5.227912973501007,
        5.2279339551648984,
        5.22795493682879,
        5.227975918492682,
        5.227996900156573,
        5.228017881820465,
        5.228038863484357,
        5.228059845148247,
        5.228080826812139,
        5.228101808476031,
        5.228122790139922,
        5.228143771803814,
        5.228164753467706,
        5.228185735131597,
        5.228206716795489,
        5.2282276984593805,
        5.228248680123272,
        5.228269661787164,
        5.2282906434510545,
        5.228311625114946,
        5.228332606778838,
        5.2283535884427295,
        5.228374570106621,
        5.228395551770513,
        5.228416533434404,
        5.228437515098296,
        5.228458496762188,
        5.228479478426079,
        5.228500460089971,
        5.228521441753863,
        5.228542423417753,
        5.228563405081645,
        5.228584386745537,
        5.228605368409428,
        5.22862635007332,
        5.2286473317372115,
        5.228667836545106,
        5.2286888182089974,
        5.229003066311373,
        5.2290240479752645,
        5.229044552783159,
        5.2290655344470505,
        5.229086516110942,
        5.229107497774833,
        5.2291284794387245,
        5.229149461102616,
        5.229170442766508,
        5.229190947574402,
        5.229211929238294,
        5.229232910902185,
        5.229253892566077,
        5.229274874229969,
        5.229295379037862,
        5.229316360701754,
        5.229337342365645,
        5.229358324029537,
        5.229379305693429,
        5.229399810501323,
        5.2294207921652145,
        5.229441773829105,
        5.229462755492997,
        5.2294837371568885,
        5.229504241964783,
        5.2295252236286744,
        5.229546205292566,
        5.229567186956458,
        5.229587691764351,
        5.229608673428243,
        5.229629655092134,
        5.229650636756026,
        5.22967114156392,
        5.229692123227812,
        5.229713104891704,
        5.229734086555595,
        5.229754591363489,
        5.22977557302738,
        5.229796554691272,
        5.229817059499166,
        5.229838041163058,
        5.2298590228269495,
        5.229880004490841,
        5.2299005092987345,
        5.229921490962626,
        5.229942472626518,
        5.229962977434412,
        5.229983959098304,
        5.230004940762195,
        5.230025445570089,
        5.23004642723398,
        5.230067408897872,
        5.230087913705766,
        5.230108895369658,
        5.23012987703355,
        5.230150381841444,
        5.230171363505335,
        5.230192345169226,
        5.2302128499771205,
        5.230233831641012,
        5.230254813304904,
        5.230275318112798,
        5.230296299776689,
        5.230316804584583,
        5.230337786248475,
        5.230358767912366,
        5.230379272720261,
        5.230400254384152,
        5.230421236048044,
        5.230441740855937,
        5.230462722519829,
        5.230483227327723,
        5.230504208991615,
        5.230524713799509,
        5.2305456954634,
        5.230566677127292,
        5.230587181935186,
        5.2306081635990775,
        5.230628668406972,
        5.2306496500708635,
        5.230670154878757,
        5.2306911365426485,
        5.23071211820654,
        5.230732623014434,
        5.230753604678326,
        5.2307741094862195,
        5.230795091150111,
        5.230815595958005,
        5.230836577621897,
        5.230857082429791,
        5.230878064093683,
        5.230898568901576,
        5.230919550565468,
        5.230940055373362,
        5.230961037037254,
        5.230981541845148,
        5.23100252350904,
        5.231023028316933,
        5.231044009980825,
        5.231064514788719,
        5.231085496452611,
        5.231106001260504,
        5.231126982924396,
        5.23114748773229,
        5.231168469396182,
        5.231188974204076,
        5.231209955867968,
        5.231230460675861,
        5.231250965483755,
        5.231271947147647,
        5.231292451955541,
        5.231313433619433,
        5.231333938427326,
        5.231354920091218,
        5.231375424899112,
        5.2313959297070065,
        5.231416911370898,
        5.2314374161787915,
        5.231458397842683,
        5.2314789026505775,
        5.231499884314469,
        5.2315203891223625,
        5.231540893930257,
        5.231561875594148,
        5.231582380402043,
        5.231602885209937,
        5.231623866873828,
        5.231644371681722,
        5.231665353345614,
        5.231685858153508,
        5.231706362961402,
        5.231727344625293,
        5.231747849433187,
        5.2317683542410816,
        5.231789335904973,
        5.231809840712867,
        5.231830345520761,
        5.2318513271846525,
        5.231871831992547,
        5.231892336800441,
        5.231913318464332,
        5.231933823272226,
        5.23195432808012,
        5.231975309744012,
        5.231995814551905,
        5.2320163193598,
        5.232037301023691,
        5.232057805831586,
        5.23207831063948,
        5.232098815447373,
        5.232119797111265,
        5.232140301919159,
        5.2321608067270535,
        5.232181788390944,
        5.232202293198839,
        5.232222798006733,
        5.232243302814627,
        5.232264284478519,
        5.232284789286412,
        5.2323052940943064,
        5.232325798902201,
        5.232346780566092,
        5.232367285373986,
        5.23238779018188,
        5.232408294989774,
        5.232429276653666,
        5.232449781461559,
        5.232470286269454,
        5.232490791077348,
        5.232511295885241,
        5.232532277549133,
        5.232552782357027,
        5.2325732871649215,
        5.232593791972815,
        5.232614296780709,
        5.232635278444601,
        5.232655783252495,
        5.232676288060389,
        5.232696792868283,
        5.232717297676177,
        5.232737802484071,
        5.232758784147963,
        5.232779288955856,
        5.232799793763751,
        5.232820298571645,
        5.233251853249414,
        5.233313844529094,
        5.233334349336988,
        5.233375358952776,
        5.23339586376067,
        5.233477882992246,
        5.2351557008195755,
        5.2388077024767,
        5.238907365380186,
        5.238967449235875,
        5.239067588995358
    ],
    "flux": [
        1.85125,
        2.12213,
        2.29533,
        2.26635,
        2.1979,
        1.96652,
        1.99962,
        2.07957,
        2.23983,
        2.21092,
        2.17567,
        2.09006,
        2.10038,
        2.0487,
        2.18741,
        2.34876,
        2.17108,
        2.09668,
        2.32352,
        2.3781,
        2.10915,
        2.20467,
        2.33663,
        2.58234,
        2.27444,
        2.12404,
        2.0041,
        2.39282,
        2.32061,
        2.01223,
        1.95456,
        2.01442,
        2.05344,
        2.2869,
        2.5009,
        2.23158,
        2.28923,
        2.12356,
        2.1803,
        2.20091,
        2.49208,
        2.46786,
        2.43748,
        2.72686,
        2.56731,
        2.37154,
        2.33462,
        2.39089,
        2.40274,
        2.47074,
        2.60583,
        2.56739,
        2.81332,
        2.75074,
        2.42268,
        2.15836,
        2.582,
        2.4489,
        2.6112,
        2.74316,
        2.75197,
        2.32898,
        2.37248,
        2.40499,
        2.4373,
        2.46393,
        2.69336,
        2.49887,
        2.57861,
        2.67543,
        2.41927,
        2.41006,
        2.3453,
        2.12798,
        2.37323,
        2.31539,
        2.80648,
        2.34994,
        2.11569,
        2.39377,
        2.29616,
        2.41835,
        2.41416,
        2.28984,
        2.06194,
        1.97169,
        2.14141,
        2.54456,
        2.68582,
        2.59129,
        2.25097,
        2.17527,
        2.15536,
        2.07651,
        2.10279,
        2.01132,
        2.01248,
        2.13277,
        2.29503,
        2.09149,
        2.03646,
        2.2038,
        2.19269,
        2.16325,
        2.23036,
        2.23168,
        2.04523,
        2.07811,
        2.05541,
        2.16608,
        2.20693,
        2.27524,
        2.22742,
        2.09246,
        2.10955,
        2.17451,
        2.19454,
        2.1507,
        2.08293,
        2.14744,
        2.02875,
        2.35757,
        2.32994,
        2.50001,
        2.25403,
        1.92775,
        2.01373,
        2.13882,
        2.69686,
        2.5945,
        2.80695,
        2.85118,
        2.6121,
        2.46849,
        2.30753,
        2.07599,
        2.31978,
        2.29739,
        2.3569,
        2.28417,
        2.1117,
        2.2315,
        2.19727,
        2.16436,
        2.15537,
        2.09293,
        1.92211,
        1.99186,
        2.02422,
        2.18534,
        2.25068,
        2.32462,
        2.30589,
        2.33944,
        2.16538,
        2.17936,
        2.12812,
        1.96458,
        2.1033,
        2.1421,
        2.26487,
        2.25551,
        2.31273,
        2.16534,
        2.05468,
        2.29753,
        2.10542,
        1.92133,
        1.94077,
        2.12014,
        2.17605,
        2.36893,
        2.18805,
        1.89182,
        2.13587,
        2.1701,
        2.15835,
        2.25288,
        1.99142,
        2.07922,
        2.21559,
        2.48041,
        2.25178,
        2.00613,
        2.14487,
        2.46103,
        2.19095,
        2.04336,
        1.65552,
        2.02071,
        2.02482,
        2.29374,
        2.12739,
        2.11041,
        2.2342,
        2.1949,
        2.18382,
        2.18531,
        2.27023,
        2.15032,
        2.23013,
        2.21202,
        2.27825,
        2.23634,
        2.12791,
        2.08647,
        2.32957,
        2.43592,
        2.31451,
        2.19987,
        2.25421,
        2.24289,
        2.2153,
        2.23792,
        2.31637,
        2.35864,
        2.42234,
        2.46418,
        2.30092,
        2.21749,
        2.17493,
        2.2093,
        2.21308,
        2.276,
        2.36731,
        2.34573,
        2.30374,
        2.05069,
        2.22263,
        2.41361,
        2.33983,
        2.30759,
        2.2367,
        2.36577,
        2.40579,
        2.22423,
        2.41652,
        2.53267,
        2.53039,
        2.37694,
        2.62059,
        2.48212,
        2.53838,
        2.40111,
        2.24472,
        2.51676,
        2.45353,
        2.30406,
        2.4236,
        2.16023,
        2.11871,
        2.49279,
        2.52884,
        2.10778,
        2.43004,
        2.53897,
        2.41664,
        2.37944,
        2.27192,
        2.16006,
        2.16909,
        2.12341,
        2.23407,
        2.36729,
        2.20932,
        2.23928,
        2.23586,
        2.20859,
        2.28328,
        2.0873,
        2.28146,
        2.19514,
        2.12685,
        2.10388,
        2.10367,
        2.02791,
        2.14552,
        2.19852,
        2.21071,
        2.16548,
        2.17677,
        2.32041,
        2.3353,
        2.27748,
        2.17469,
        1.97979,
        2.0905,
        2.12212,
        2.18767,
        2.20017,
        2.08644,
        2.13734,
        2.08603,
        2.23913,
        2.21251,
        2.00154,
        2.15442,
        2.07825,
        2.22646,
        2.29993,
        2.20913,
        2.11636,
        1.82801,
        2.02191,
        3.06025,
        3.29378,
        2.40119,
        2.40657,
        2.43825,
        2.00221,
        2.28365,
        2.34448,
        2.17418,
        2.17109,
        2.22417,
        2.24803,
        2.23884,
        2.43227,
        2.25282,
        2.14063,
        2.17206,
        2.19195,
        2.02953,
        1.97523,
        2.14521,
        2.20854,
        2.23852,
        2.24176,
        2.30419,
        2.23653,
        2.12139,
        2.26046,
        2.19986,
        2.10715,
        2.15639,
        2.07422,
        2.1225,
        2.10965,
        2.0877,
        2.0937,
        2.13263,
        2.11002,
        2.12295,
        2.21511,
        2.29798,
        2.09043,
        2.04142,
        2.17841,
        2.19478,
        2.32881,
        2.10179,
        2.05053,
        2.16352,
        2.20782,
        2.11057,
        2.23432,
        2.14241,
        2.24732,
        2.13987,
        2.26964,
        2.06077,
        2.08681,
        2.00579,
        2.08009,
        2.3897,
        2.42234,
        2.24891,
        2.56649,
        2.32829,
        2.22405,
        2.20219,
        2.2904,
        2.1196,
        2.03251,
        1.98416,
        2.14677,
        2.10989,
        2.12031,
        2.18156,
        2.18379,
        2.22067,
        2.25636,
        2.12214,
        2.13382,
        2.06198,
        2.16401,
        2.16128,
        2.14981,
        2.18835,
        2.10265,
        2.05967,
        2.09491,
        2.20033,
        2.20548,
        2.28046,
        2.19952,
        2.50038,
        2.34675,
        2.24264,
        2.17461,
        2.20317,
        2.18152,
        2.26106,
        2.41428,
        2.23761,
        2.1306,
        2.14901,
        2.17451,
        2.34594,
        2.2459,
        2.09589,
        2.22245,
        2.34086,
        2.43015,
        2.5986,
        2.23132,
        2.20992,
        2.51169,
        2.33601,
        2.27697,
        2.49944,
        2.43843,
        2.05151,
        2.12529,
        2.2346,
        2.31471,
        2.20964,
        2.13388,
        2.13925,
        2.31745,
        2.34323,
        2.73019,
        2.6383,
        3.20784,
        2.9261,
        2.51028,
        2.89515,
        2.81375,
        2.86144,
        2.57833,
        2.43548,
        2.52288,
        2.30613,
        2.34641,
        2.51402,
        2.60891,
        2.8131,
        2.87818,
        2.2909,
        2.32472,
        2.13211,
        2.52637,
        2.71054,
        2.36987,
        2.45176,
        2.50916,
        2.30939,
        2.25931,
        2.27897,
        2.31546,
        2.16126,
        2.36958,
        2.48473,
        2.33955,
        2.24858,
        2.21858,
        2.5149,
        2.25028,
        2.22641,
        2.48014,
        2.65886,
        2.68345,
        2.10412,
        2.18575,
        2.49422,
        2.29451,
        2.28578,
        2.4278,
        2.21842,
        2.30277,
        2.15881,
        2.10163,
        2.11474,
        2.24809,
        2.24617,
        2.27472,
        2.20241,
        2.25337,
        2.41932,
        2.38336,
        2.18481,
        2.15191,
        2.2702,
        2.2518,
        1.99366,
        2.23739,
        2.2967,
        2.28146,
        2.24496,
        2.32973,
        2.09136,
        2.20991,
        2.16106,
        2.30083,
        2.44534,
        1.98069,
        2.18603,
        2.05517,
        2.07535,
        2.23036,
        2.25017,
        2.15524,
        2.19641,
        2.20142,
        2.1776,
        2.1364,
        2.14198,
        1.9444,
        1.99352,
        2.02887,
        2.22726,
        2.15104,
        2.3073,
        2.14557,
        2.13011,
        2.27619,
        2.25917,
        2.07927,
        2.35217,
        2.53733,
        2.03533,
        2.31057,
        2.04066,
        2.12242,
        2.11248,
        2.08909,
        2.06387,
        2.26347,
        2.1728,
        2.1492,
        2.09044,
        2.33879,
        2.4405,
        2.42553,
        2.26282,
        2.15814,
        2.07692,
        2.106,
        2.15023,
        2.07415,
        2.11161,
        2.37401,
        2.14431,
        2.23205,
        2.1784,
        2.21503,
        2.12454,
        2.25275,
        2.21878,
        1.91221,
        2.19895,
        1.99906,
        2.41823,
        2.59983,
        2.21067,
        2.30631,
        2.24073,
        2.48434,
        2.44993,
        2.44164,
        2.30452,
        2.19386,
        2.11238,
        2.18763,
        2.13291,
        2.22523,
        2.56899,
        2.5643,
        2.62662,
        1.97331,
        2.15444,
        2.00533,
        2.09295,
        2.24035,
        2.18908,
        2.21511,
        2.07155,
        2.13987,
        2.1126,
        2.19055,
        2.21471,
        2.1924,
        2.0378,
        2.10189,
        2.23386,
        2.26296,
        2.30711,
        2.22934,
        2.03619,
        2.1677,
        2.27807,
        2.21623,
        2.18054,
        2.12026,
        2.11658,
        2.21087,
        2.18093,
        2.24574,
        2.27201,
        2.23252,
        2.17026,
        2.12158,
        2.15034,
        2.162,
        2.27135,
        2.21848,
        2.12386,
        1.95337,
        2.24065,
        2.3026,
        2.19823,
        2.11394,
        2.13715,
        2.44112,
        2.17947,
        2.12989,
        2.4539,
        2.40059,
        2.25941,
        2.38411,
        2.62304,
        2.35817,
        2.92955,
        2.53121,
        2.82803,
        2.41282,
        2.29363,
        2.28595,
        2.43749,
        2.3716,
        2.43572,
        2.28974,
        2.45932,
        2.50516,
        2.63743,
        2.46853,
        2.4303,
        2.29917,
        2.65723,
        2.44303,
        2.51416,
        2.49059,
        2.42059,
        2.57709,
        2.52271,
        2.37723,
        2.31261,
        2.46051,
        2.46341,
        2.42807,
        2.39048,
        2.52899,
        2.56477,
        2.7263,
        2.41667,
        2.44875,
        2.54362,
        2.32257,
        2.78153,
        2.29958,
        2.13438,
        2.33134,
        2.15689,
        2.16516,
        2.25547,
        2.33366,
        2.32115,
        2.29127,
        2.5005,
        2.31751,
        2.35423,
        2.41854,
        2.24478,
        2.39732,
        2.40176,
        2.36179,
        2.40016,
        2.13306,
        2.41773,
        2.41158,
        2.30584,
        2.27382,
        2.25829,
        2.32401,
        2.59543,
        2.15691,
        2.07148,
        2.30395,
        2.47344,
        2.70478,
        3.05165,
        2.59855,
        2.04678,
        2.13596,
        2.15042,
        2.10852,
        1.88716,
        2.09742,
        2.06024,
        2.17686,
        2.03091,
        2.1961,
        2.26614,
        2.14131,
        2.24312,
        2.16511,
        2.24043,
        2.26476,
        2.2209,
        2.24394,
        2.19758,
        2.32363,
        2.24177,
        2.18828,
        2.20227,
        2.1387,
        2.12442,
        2.21416,
        2.25421,
        2.26289,
        2.24016,
        2.20736,
        2.26129,
        2.20758,
        2.17476,
        2.09753,
        2.19872,
        2.1819,
        2.2573,
        2.2532,
        2.07745,
        2.1804,
        2.17857,
        2.1473,
        2.15675,
        2.16024,
        2.25809,
        2.12974,
        2.19448,
        2.23032,
        2.15628,
        2.13289,
        2.2027,
        2.17774,
        2.21079,
        2.15659,
        2.10979,
        2.0557,
        2.03732,
        2.10868,
        2.0474,
        2.18168,
        2.21433,
        2.05686,
        2.03198,
        2.18851,
        2.14184,
        2.19946,
        2.22215,
        2.17709,
        2.01416,
        2.2641,
        2.23714,
        2.39207,
        2.26465,
        2.00827,
        1.89657,
        1.80923,
        2.00987,
        2.15147,
        2.07263,
        2.09513,
        2.23559,
        2.22489,
        2.09162,
        2.09625,
        2.14585,
        2.2451,
        2.07268,
        2.16005,
        2.07207,
        1.99574,
        2.11021,
        2.11903,
        2.0657,
        2.0944,
        2.2372,
        2.26472,
        2.08107,
        2.01464,
        2.19643,
        2.13167,
        2.1767,
        2.12273,
        2.11542,
        2.07757,
        2.04126,
        2.10002,
        2.21012,
        2.15782,
        2.06991,
        2.00493,
        2.08974,
        2.11033,
        2.02607,
        2.05258,
        2.08531,
        2.04207,
        2.18603,
        2.28332,
        2.26761,
        2.08764,
        2.17297,
        2.18384,
        2.1014,
        2.13002,
        2.14773,
        2.1516,
        2.19848,
        2.22051,
        2.08737,
        2.21199,
        2.10991,
        2.1062,
        2.24882,
        2.23197,
        2.17294,
        2.16811,
        2.21075,
        2.08443,
        2.1369,
        2.18768,
        2.25745,
        2.2309,
        2.16295,
        2.14885,
        2.5117,
        2.15316,
        2.16831,
        2.12404,
        2.23969,
        3.19709,
        2.52577,
        2.07973,
        2.09377,
        2.16626,
        2.17394,
        2.12982,
        2.2297,
        2.2029,
        2.25304,
        2.19888,
        2.31369,
        2.27124,
        2.40617,
        2.24696,
        2.15411,
        2.22826,
        2.23557,
        2.26855,
        2.38972,
        2.24527,
        2.21579,
        2.2885,
        2.45219,
        2.39227,
        2.45086,
        2.38323,
        2.34262,
        2.36199,
        2.21048,
        2.21315,
        2.16288,
        2.10295,
        2.22745,
        2.26214,
        1.84782,
        2.30802,
        2.44263,
        2.3377,
        2.40156,
        2.38148,
        2.3672,
        2.60188,
        2.43332,
        2.63042,
        2.5144,
        2.44791,
        2.47385,
        2.47943,
        2.38969,
        2.61431,
        2.53965,
        2.7087,
        2.68853,
        2.6523,
        2.55035,
        2.63717,
        2.57558,
        2.52771,
        2.67437,
        2.60872,
        2.57351,
        2.29983,
        2.34667,
        2.56626,
        2.41609,
        2.45259,
        2.71242,
        2.57356,
        2.56666,
        2.4855,
        2.46443,
        2.8481,
        2.29755,
        1.76575,
        2.34569,
        1.98103,
        2.28628,
        2.05155,
        2.20676,
        2.22852,
        2.28738,
        2.1627,
        2.27471,
        2.12913,
        2.10653,
        2.03682,
        2.17203,
        2.14362,
        2.21387,
        2.20513,
        2.22544,
        2.24712,
        2.1424,
        2.28883,
        2.15589,
        2.19424,
        2.11803,
        2.20519,
        2.24226,
        2.20517,
        2.19538,
        2.22015,
        2.23794,
        2.17138,
        2.14579,
        2.20004,
        2.24024,
        2.2066,
        2.1004,
        2.11724,
        2.2185,
        2.13798,
        2.10114,
        2.13812,
        2.18332,
        2.11394,
        2.22899,
        2.294,
        2.35741,
        2.27511,
        2.33548,
        2.206,
        2.16081,
        2.14734,
        2.11632,
        2.15237,
        2.06336,
        1.94334,
        2.13084,
        2.09933,
        2.43596,
        2.16226,
        2.09814,
        2.47719,
        1.90789,
        2.0249,
        2.67554,
        2.39895,
        2.18619,
        1.89632,
        1.66988,
        1.74301,
        2.27054,
        2.38887,
        1.99832,
        2.19271,
        2.37255,
        2.42124,
        2.16799,
        2.43539,
        1.9754,
        2.20787,
        2.27495,
        2.2716,
        1.97258,
        2.29672,
        1.85817,
        1.93981,
        2.02654,
        2.15164,
        2.12743,
        2.09874,
        2.03832,
        2.07286,
        2.09043,
        2.26201,
        2.11971,
        2.22866,
        2.05358,
        2.2259,
        2.27974,
        2.20685,
        2.23566,
        2.23102,
        2.2282,
        2.12247,
        2.10807,
        2.09641,
        2.08667,
        2.11599,
        2.02054,
        2.03526,
        1.97342,
        2.21837,
        2.19498,
        2.18866,
        2.29985,
        2.11676,
        2.13305,
        2.26791,
        2.02344,
        2.10546,
        2.15427,
        2.04394,
        2.33481,
        2.21629,
        2.30362,
        2.1932,
        2.19424,
        2.4181,
        2.5591,
        2.68837,
        2.29039,
        1.93822,
        2.06177,
        2.06688,
        2.14203,
        2.24493,
        2.25384,
        2.41029,
        2.14241,
        2.03616,
        2.04202,
        2.06518,
        2.21025,
        2.22281,
        2.20297,
        2.12182,
        2.30537,
        2.17851,
        2.15434,
        2.22,
        2.02431,
        2.32746,
        2.00206,
        2.02142,
        2.34972,
        2.20089,
        2.39971,
        2.21082,
        2.32711,
        1.92137,
        2.08513,
        2.15726,
        2.20695,
        2.34151,
        2.12899,
        2.0496,
        2.2251,
        2.24923,
        2.10944,
        2.25338,
        2.26323,
        2.09369,
        2.19817,
        2.07397,
        2.21266,
        2.36915,
        2.27671,
        2.31419,
        2.31246,
        2.30454,
        2.15062,
        2.25615,
        2.16693,
        2.30056,
        2.27749,
        2.37286,
        2.39083,
        2.0629,
        2.32002,
        2.26967,
        2.29674,
        2.38735,
        2.20111,
        2.15942,
        2.31596,
        2.25583,
        2.21081,
        2.47519,
        2.14899,
        2.44374,
        2.36243,
        2.72715,
        2.68169,
        2.13631,
        2.88491,
        2.3646,
        2.02267,
        2.10032,
        2.28536,
        2.34451,
        2.27236,
        2.19452,
        2.32433,
        2.25904,
        2.34528,
        2.31309,
        2.18298,
        2.44885,
        2.10308,
        2.25801,
        2.57437,
        2.44011,
        2.38752,
        2.43988,
        2.45494,
        2.59599,
        2.48133,
        2.48222,
        2.44073,
        2.64074,
        2.33081,
        2.26115,
        2.6383,
        2.50223,
        2.61194,
        2.5959,
        2.49957,
        2.01392,
        2.64521,
        2.64763,
        2.87371,
        3.25131,
        2.89007,
        2.41061,
        2.56961,
        2.30578,
        2.12214,
        2.45094,
        2.36037,
        2.36769,
        2.26587,
        2.3531,
        2.18674,
        2.19115,
        2.28273,
        2.15797,
        2.29062,
        2.26612,
        2.26916,
        2.19345,
        2.30887,
        2.35465,
        2.29318,
        2.43207,
        2.44203,
        2.19175,
        2.02557,
        2.32069,
        2.21166,
        2.30761,
        2.57169,
        1.93387,
        2.1634,
        2.02656,
        2.36324,
        2.69888,
        3.0483,
        2.13213,
        2.37404,
        2.24688,
        2.05776,
        2.25621,
        2.11533,
        2.07992,
        2.04609,
        2.27832,
        2.15306,
        2.09734,
        2.20525,
        2.03462,
        2.10656,
        2.24164,
        2.1171,
        1.89117,
        1.93435,
        2.2706,
        2.16258,
        2.37702,
        2.12175,
        2.11003,
        2.0686,
        2.11062,
        1.99933,
        2.21547,
        2.15525,
        2.16025,
        1.93861,
        2.12056,
        2.0902,
        2.04819,
        2.15536,
        2.13259,
        2.0275,
        2.07302,
        2.01428,
        2.20556,
        2.03818,
        1.89341,
        1.88628,
        2.24573,
        2.06668,
        2.21535,
        2.44189,
        2.02017,
        1.82203,
        1.94119,
        null,
        2.19255,
        2.07524,
        1.96752,
        2.06926,
        2.19899,
        2.32777,
        2.46902,
        1.96668,
        2.08893,
        1.92257,
        1.9072,
        2.13632,
        2.16757,
        2.04062,
        2.05426,
        2.09373,
        1.98701,
        2.02984,
        2.10374,
        2.10216,
        2.06339,
        2.07988,
        2.14041,
        2.09529,
        2.0541,
        2.04471,
        2.00723,
        1.98744,
        2.01568,
        2.07428,
        2.12357,
        2.04571,
        2.07573,
        2.09115,
        2.00081,
        2.07047,
        2.05536,
        2.0699,
        2.16628,
        2.18621,
        2.19736,
        2.08091,
        2.06337,
        2.10255,
        2.07003,
        2.1263,
        2.14917,
        2.11171,
        2.04868,
        2.0588,
        2.09309,
        2.10571,
        2.09537,
        2.21081,
        2.22414,
        2.17156,
        2.18759,
        2.16945,
        2.19546,
        2.0748,
        2.02014,
        2.09675,
        2.05575,
        1.98498,
        2.15365,
        2.16057,
        2.0225,
        2.1738,
        2.1345,
        2.21864,
        2.28274,
        2.21148,
        2.45169,
        2.38044,
        2.14267,
        1.98587,
        1.94154,
        2.0053,
        2.14984,
        2.10155,
        2.18391,
        2.28202,
        2.16525,
        2.0866,
        2.20071,
        2.19704,
        2.04666,
        1.91481,
        2.05114,
        2.13597,
        2.08536,
        2.1059,
        2.07521,
        2.08016,
        2.07103,
        2.11306,
        2.04264,
        2.11222,
        2.09579,
        2.06007,
        2.17022,
        2.11967,
        2.05736,
        2.07911,
        2.13318,
        2.14538,
        2.16341,
        2.17987,
        2.08076,
        2.06333,
        2.06564,
        2.10143,
        2.07275,
        2.04406,
        2.02606,
        2.10795,
        2.15843,
        2.16324,
        2.1467,
        2.16318,
        2.09907,
        2.04913,
        1.98182,
        2.06477,
        2.16683,
        2.09192,
        2.05797,
        1.96919,
        1.91159,
        1.94579,
        2.02274,
        2.01067,
        1.99866,
        2.04775,
        2.12769,
        1.99075,
        1.9663,
        1.92514,
        1.84778,
        1.91929,
        2.11676,
        1.96016,
        2.01129,
        1.98417,
        1.99725,
        2.17298,
        2.2353,
        2.23881,
        1.9077,
        1.9326,
        2.21709,
        2.62815,
        2.39879,
        2.2097,
        2.30001,
        2.22867,
        2.07864,
        2.17361,
        2.17971,
        2.1264,
        2.0662,
        2.07123,
        1.94841,
        1.96887,
        2.09158,
        2.04082,
        2.0458,
        2.03614,
        1.92168,
        1.92232,
        1.99386,
        1.95324,
        1.981,
        1.99455,
        1.99797,
        2.03578,
        2.00622,
        2.01212,
        1.97306,
        1.96303,
        2.03114,
        2.01883,
        2.02902,
        2.03092,
        2.00706,
        1.9681,
        1.98071,
        2.06696,
        2.08652,
        2.03652,
        1.99398,
        2.02648,
        2.0272,
        2.00693,
        2.10551,
        2.12934,
        2.04865,
        2.08882,
        2.12225,
        2.12213,
        2.06045,
        2.04239,
        2.08274,
        2.05637,
        2.05835,
        2.05807,
        2.04861,
        2.04346,
        2.02193,
        2.03961,
        2.0491,
        2.06431,
        2.03523,
        1.99541,
        2.06855,
        2.06075,
        2.00989,
        2.02503,
        2.03774,
        2.1166,
        2.07272,
        2.0402,
        1.92114,
        1.97296,
        1.92455,
        1.84138,
        2.05732,
        1.95799,
        1.87518,
        2.0003,
        1.94157,
        1.81677,
        2.08006,
        2.37477,
        2.15001,
        2.10809,
        1.93993,
        2.14965,
        2.06969,
        2.21989,
        2.10583,
        1.9355,
        2.09892,
        2.21706,
        2.09349,
        2.10159,
        2.16686,
        2.05248,
        2.16964,
        2.20088,
        2.11282,
        2.00012,
        2.04155,
        2.12564,
        2.13688,
        2.10056,
        2.04878,
        2.11669,
        2.09976,
        1.97909,
        2.03126,
        2.07018,
        2.01579,
        2.10728,
        2.10855,
        2.08844,
        2.01987,
        2.01097,
        2.11369,
        2.05631,
        2.05554,
        2.06327,
        2.09401,
        2.09268,
        2.06534,
        2.05741,
        2.06687,
        2.0565,
        2.06023,
        2.09014,
        2.03465,
        2.02183,
        2.05393,
        2.03073,
        1.98571,
        2.0465,
        1.96596,
        2.0325,
        1.99763,
        2.03603,
        2.04759,
        2.02315,
        2.03609,
        2.05682,
        2.11225,
        2.13519,
        2.08799,
        2.13715,
        2.10269,
        2.11911,
        2.11085,
        2.11669,
        2.0618,
        2.02093,
        2.07252,
        2.09631,
        2.06304,
        2.05754,
        2.11566,
        2.10489,
        2.08984,
        2.09857,
        2.11629,
        2.12016,
        2.02487,
        2.01283,
        2.0113,
        2.05129,
        2.0725,
        2.08382,
        2.11134,
        2.34835,
        2.39108,
        2.26014,
        2.58301,
        2.33726,
        2.19758,
        2.29128,
        2.23291,
        2.13132,
        2.19701,
        2.40287,
        2.33921,
        2.4361,
        2.39963,
        2.23808,
        2.51798,
        2.34879,
        2.32746,
        2.44003,
        2.45386,
        2.45855,
        2.35246,
        2.52278,
        2.23061,
        2.13268,
        2.17682,
        2.3013,
        2.13052,
        2.12604,
        2.04157,
        2.37821,
        2.08911,
        2.10417,
        2.08636,
        2.20422,
        2.23725,
        2.09686,
        2.0545,
        2.1262,
        2.22663,
        2.19668,
        2.16052,
        2.20285,
        2.19247,
        2.17646,
        2.1279,
        2.08194,
        2.10561,
        2.07975,
        2.11212,
        2.10355,
        2.1269,
        2.11061,
        2.09437,
        2.14064,
        2.10616,
        2.11236,
        2.07745,
        2.07417,
        2.08015,
        2.08131,
        2.08788,
        2.10866,
        2.08586,
        2.0927,
        2.08869,
        2.13013,
        2.0935,
        2.05297,
        2.04085,
        2.04269,
        2.03354,
        2.02485,
        2.06013,
        2.03732,
        1.87223,
        1.57439,
        1.95019,
        1.86558,
        2.56275,
        1.97999,
        1.93987,
        1.93509,
        1.91586,
        1.83282,
        2.0579,
        2.05316,
        2.33254,
        1.97757,
        1.92449,
        2.01922,
        1.79817,
        2.04898,
        2.371,
        2.00618,
        1.89389,
        1.84303,
        2.0099,
        1.93377,
        2.0165,
        2.00373,
        2.01404,
        2.18659,
        2.04226,
        2.06396,
        2.09341,
        2.14478,
        2.12866,
        2.05347,
        2.04987,
        2.05152,
        2.06551,
        2.0495,
        2.02338,
        2.05675,
        2.01897,
        2.03521,
        2.07832,
        2.09272,
        2.08839,
        2.03832,
        2.08859,
        2.0138,
        2.13083,
        2.14909,
        2.14196,
        2.0826,
        2.086,
        2.08457,
        2.08739,
        2.06646,
        2.03771,
        2.07242,
        2.06188,
        2.04428,
        2.07466,
        2.07036,
        2.0373,
        2.0922,
        2.12766,
        2.05091,
        2.17138,
        2.07156,
        2.04965,
        2.14864,
        2.05609,
        2.1468,
        2.04739,
        1.97048,
        1.95765,
        1.95911,
        2.00805,
        2.04404,
        2.02183,
        2.08346,
        1.97919,
        2.01571,
        2.04925,
        1.93285,
        2.05633,
        2.07662,
        1.98765,
        2.10828,
        2.10156,
        1.91405,
        2.09169,
        1.82979,
        2.35578,
        2.38764,
        2.40865,
        2.29247,
        2.42183,
        1.95471,
        1.92354,
        2.0367,
        2.00948,
        2.16156,
        1.99191,
        2.07459,
        2.22457,
        2.12097,
        2.058,
        2.0694,
        2.01241,
        2.03023,
        2.00493,
        2.0615,
        2.06806,
        2.05381,
        2.05261,
        2.07807,
        2.01894,
        2.05689,
        2.03159,
        2.00808,
        1.74419,
        2.05498,
        1.93238,
        2.00651,
        2.15761,
        2.02755,
        1.96416,
        2.00812,
        1.93986,
        2.04546,
        2.11759,
        2.06861,
        2.05421,
        2.01691,
        1.969,
        1.95814,
        2.01766,
        2.02846,
        1.97466,
        2.02116,
        2.07666,
        2.01168,
        1.99061,
        1.95671,
        1.98192,
        1.99029,
        2.0196,
        1.9919,
        2.06107,
        2.03386,
        1.95223,
        1.96275,
        1.99764,
        1.99574,
        2.04102,
        2.00934,
        2.0366,
        1.94837,
        2.00768,
        1.9987,
        2.00214,
        2.03628,
        2.04559,
        2.07504,
        1.96626,
        1.94264,
        2.00748,
        2.03396,
        2.04475,
        2.04324,
        2.04893,
        2.0823,
        2.0517,
        2.04291,
        2.01469,
        2.03033,
        2.02008,
        2.09554,
        2.0531,
        2.03347,
        2.12628,
        2.00671,
        2.05537,
        2.01292,
        1.88371,
        2.02672,
        2.02924,
        2.04123,
        2.18468,
        2.23841,
        1.7837,
        1.93099,
        2.29966,
        1.9143,
        2.20206,
        2.13815,
        2.05734,
        2.09048,
        2.09511,
        2.11101,
        2.10455,
        2.11376,
        2.10031,
        2.15149,
        2.09666,
        2.10974,
        2.10166,
        2.11394,
        2.06806,
        2.10109,
        2.1105,
        2.13994,
        2.20801,
        2.18802,
        2.17475,
        2.10829,
        2.18676,
        2.17084,
        2.05076,
        2.10165,
        2.1688,
        2.25354,
        2.30839,
        2.2429,
        2.1368,
        2.14226,
        2.07804,
        1.78457,
        2.06507,
        2.38194,
        2.27764,
        2.44335,
        2.1983,
        2.25031,
        2.13052,
        2.16269,
        2.29176,
        2.19946,
        2.20814,
        2.15635,
        2.12999,
        2.08448,
        2.32442,
        2.24451,
        1.5223,
        2.17034,
        2.32529,
        2.29148,
        2.28718,
        2.45455,
        2.26705,
        2.23831,
        2.35742,
        2.3437,
        2.33701,
        2.42585,
        2.30091,
        2.28063,
        2.26524,
        2.26401,
        2.3237,
        2.30245,
        2.32395,
        2.29326,
        2.35583,
        2.27921,
        2.27107,
        2.42145,
        2.41301,
        2.46162,
        2.42486,
        2.66528,
        3.10362,
        2.65017,
        2.13364,
        2.02044,
        2.21214,
        2.26285,
        2.27845,
        2.25435,
        2.30263,
        2.72235,
        1.93398,
        2.47333,
        2.26968,
        2.43878,
        2.25561,
        2.43042,
        2.17958,
        2.20731,
        2.25108,
        2.0485,
        2.1735,
        2.10177,
        2.09497,
        2.12309,
        2.11606,
        2.07258,
        2.03082,
        2.07756,
        2.10393,
        2.0852,
        2.05861,
        2.08168,
        2.11959,
        2.03214,
        2.08119,
        2.07714,
        2.12082,
        2.07459,
        2.04468,
        2.07826,
        2.1109,
        2.07175,
        2.05992,
        2.01592,
        2.02504,
        2.04104,
        2.07494,
        2.0797,
        2.05392,
        2.07943,
        2.08729,
        2.05193,
        1.99349,
        2.17991,
        1.98456,
        2.0289,
        2.20005,
        2.04558,
        2.07203,
        2.02938,
        1.98874,
        1.91021,
        2.17603,
        1.97628,
        2.15181,
        2.11701,
        2.05209,
        2.01528,
        2.03739,
        1.98729,
        2.08941,
        2.11395,
        2.16799,
        2.12661,
        2.05549,
        2.21513,
        2.10544,
        1.98942,
        2.07872,
        2.17161,
        2.06348,
        1.99144,
        2.0857,
        2.10071,
        2.0424,
        2.03901,
        2.01259,
        1.96756,
        2.05469,
        2.10518,
        2.01925,
        2.02829,
        1.97716,
        2.0512,
        2.02126,
        2.03582,
        2.01161,
        2.08846,
        2.05468,
        2.03793,
        2.0586,
        2.03513,
        2.01582,
        1.95751,
        1.96915,
        2.00968,
        2.00478,
        1.97966,
        2.10412,
        1.86186,
        1.97088,
        2.25975,
        2.21739,
        2.26569,
        1.83733,
        1.92114,
        2.05941,
        1.99502,
        2.17954,
        2.13947,
        1.97224,
        1.88229,
        2.11556,
        2.06148,
        2.08225,
        1.99878,
        2.10227,
        2.08464,
        1.99585,
        2.01632,
        2.03078,
        2.01287,
        2.13365,
        2.01841,
        2.06617,
        2.06282,
        2.18362,
        2.16431,
        2.06789,
        2.10262,
        1.99054,
        1.97045,
        2.00428,
        2.08674,
        1.98832,
        2.00867,
        2.00811,
        1.99131,
        2.03438,
        2.02558,
        1.93388,
        1.98544,
        1.97851,
        2.02139,
        2.11008,
        2.06754,
        2.07415,
        2.00383,
        2.08013,
        2.14543,
        2.02957,
        2.02529,
        2.0388,
        2.04733,
        2.09306,
        2.09111,
        2.09446,
        1.9993,
        2.02424,
        2.01492,
        2.06142,
        1.94153,
        1.88993,
        1.82398,
        1.9377,
        2.34188,
        2.01835,
        1.89544,
        2.01939,
        1.86964,
        1.94019,
        1.99902,
        2.0074,
        1.98115,
        1.95954,
        2.02571,
        2.01237,
        2.13613,
        2.07632,
        2.06766,
        2.02912,
        2.01637,
        2.01458,
        1.9988,
        2.07138,
        2.08328,
        2.09309,
        2.05469,
        2.05307,
        2.03497,
        2.03057,
        2.00559,
        2.0551,
        2.1084,
        2.03499,
        2.02424,
        2.02335,
        1.99843,
        2.10681,
        2.16406,
        2.1195,
        2.0412,
        1.98855,
        2.065,
        1.97598,
        1.84941,
        2.01098,
        2.02228,
        2.04323,
        1.95484,
        2.22158,
        2.19486,
        1.95128,
        2.01305,
        2.12474,
        2.1095,
        2.09589,
        1.96688,
        1.99887,
        2.0374,
        1.99179,
        2.03447,
        2.08451,
        2.08155,
        2.03925,
        2.1068,
        2.02025,
        2.06025,
        2.02856,
        2.0425,
        2.04706,
        2.01197,
        2.04403,
        2.02673,
        1.98337,
        1.99715,
        1.93596,
        1.98121,
        1.99882,
        1.99409,
        1.97015,
        2.02731,
        1.9369,
        1.95763,
        1.95772,
        2.00747,
        2.01319,
        2.00544,
        1.93386,
        2.06068,
        1.98761,
        2.00732,
        2.02651,
        2.0888,
        2.05098,
        2.04676,
        2.03957,
        2.0429,
        2.04631,
        2.06431,
        2.0758,
        2.03996,
        2.03471,
        2.05275,
        2.10696,
        2.06163,
        2.10405,
        2.0933,
        2.11699,
        2.0189,
        2.01267,
        2.08817,
        2.13308,
        2.15961,
        2.20833,
        2.07649,
        2.20017,
        2.22692,
        2.04313,
        2.06041,
        2.30391,
        2.33358,
        2.31757,
        1.97528,
        2.00826,
        2.06389,
        2.33981,
        2.1213,
        2.1858,
        2.12681,
        2.13389,
        2.04859,
        2.09624,
        2.12199,
        2.03484,
        2.06182,
        2.04809,
        2.02131,
        2.05509,
        2.0484,
        2.0037,
        2.10966,
        2.13773,
        2.24401,
        2.15089,
        2.20314,
        2.20234,
        2.11275,
        2.17772,
        2.23387,
        2.29153,
        2.30921,
        2.23538,
        2.28018,
        2.3319,
        2.27747,
        2.18224,
        2.37035,
        2.1699,
        2.16237,
        2.21174,
        2.20491,
        2.17793,
        2.20866,
        2.31102,
        2.26252,
        2.2796,
        2.38488,
        2.24939,
        2.33115,
        2.27072,
        2.36597,
        2.41987,
        2.38342,
        2.26674,
        2.20981,
        2.27011,
        2.34064,
        2.42998,
        2.54198,
        2.37638,
        2.31088,
        2.35927,
        2.18513,
        2.19853,
        2.36365,
        2.11463,
        2.14562,
        2.17865,
        2.16039,
        2.16575,
        2.17784,
        2.15101,
        2.14501,
        2.13125,
        2.14674,
        2.25552,
        2.17487,
        2.15263,
        2.1314,
        2.19682,
        2.20493,
        2.13279,
        2.10263,
        2.20026,
        2.13791,
        2.18545,
        2.2254,
        2.14451,
        2.0659,
        2.12582,
        2.10292,
        2.19774,
        2.13001,
        2.14883,
        2.03449,
        2.02589,
        2.1317,
        2.13272,
        2.10341,
        2.14344,
        2.14475,
        2.08141,
        2.10984,
        2.10154,
        2.07219,
        2.04315,
        2.08265,
        2.12952,
        2.16903,
        2.11771,
        2.11559,
        1.9873,
        2.038,
        2.27057,
        2.26294,
        2.19097,
        2.27572,
        1.7383,
        2.12218,
        1.91939,
        1.89494,
        2.03428,
        2.14141,
        2.10268,
        2.1899,
        2.08288,
        2.07606,
        1.93336,
        1.95666,
        2.06015,
        2.06757,
        2.18326,
        2.10725,
        2.07279,
        2.0917,
        2.01827,
        1.91012,
        1.80772,
        1.99869,
        2.01951,
        2.30523,
        2.09204,
        1.95928,
        2.09628,
        2.09148,
        2.27039,
        2.09608,
        2.0309,
        2.05541,
        2.09874,
        2.15702,
        2.03466,
        2.09125,
        2.09096,
        1.99352,
        2.01386,
        2.06808,
        2.03407,
        2.09066,
        2.125,
        2.09766,
        2.13156,
        2.12131,
        2.08689,
        2.11292,
        2.00339,
        2.02749,
        2.02642,
        2.03734,
        2.03882,
        2.07538,
        2.04845,
        2.00253,
        2.03598,
        2.0201,
        1.95716,
        1.96503,
        2.02973,
        2.11007,
        2.08193,
        2.01044,
        2.0421,
        2.05104,
        2.11204,
        2.06892,
        2.07721,
        2.05464,
        2.09594,
        2.08136,
        2.05862,
        1.96645,
        2.07457,
        2.06284,
        2.01685,
        1.97478,
        1.97773,
        1.99603,
        2.03167,
        2.081,
        2.04737,
        2.04569,
        2.04148,
        1.9712,
        2.01337,
        2.01221,
        2.00081,
        2.02702,
        2.003,
        2.10115,
        2.10105,
        2.11428,
        2.06843,
        2.06805,
        2.06279,
        2.03813,
        2.00621,
        2.00947,
        2.04052,
        2.00761,
        1.96355,
        2.03434,
        2.05499,
        2.11846,
        2.06525,
        2.065,
        1.96828,
        1.9812,
        2.05984,
        1.92678,
        2.07502,
        2.0323,
        1.97897,
        2.02405,
        2.22184,
        2.16969,
        2.0421,
        1.94163,
        2.12043,
        2.20038,
        1.98608,
        2.10329,
        1.76075,
        1.9063,
        1.83543,
        2.16066,
        2.08308,
        2.20797,
        2.22012,
        1.96928,
        2.08667,
        2.103,
        1.9901,
        2.10396,
        1.99136,
        1.97959,
        1.85426,
        1.83018,
        2.23138,
        1.89374,
        2.10026,
        1.74487,
        1.8064,
        1.89453,
        1.85587,
        1.9892,
        1.77933,
        1.92274,
        2.10089,
        2.02157,
        1.9208,
        1.93143,
        2.02448,
        1.98759,
        1.92335,
        1.99216,
        2.03745,
        1.99518,
        1.98185,
        2.02787,
        2.11197,
        2.12301,
        2.07877,
        1.98795,
        2.02709,
        1.94638,
        1.97552,
        1.98635,
        2.05596,
        2.04441,
        2.00982,
        2.05707,
        2.0744,
        2.10484,
        2.08668,
        2.01361,
        2.03043,
        2.05421,
        2.04109,
        2.0306,
        2.01432,
        1.99635,
        2.03093,
        1.93808,
        2.00948,
        2.06213,
        1.97167,
        2.12942,
        2.04003,
        1.92296,
        1.92601,
        2.03566,
        2.06768,
        2.01992,
        2.01768,
        2.02769,
        2.03259,
        1.9689,
        2.09389,
        2.04241,
        2.00306,
        2.08619,
        1.95798,
        1.9541,
        1.9602,
        2.09293,
        2.04334,
        2.02808,
        2.0438,
        2.03165,
        1.97112,
        1.95745,
        2.01341,
        1.99704,
        1.98088,
        1.99511,
        2.02681,
        2.01447,
        1.94968,
        1.9632,
        1.93714,
        2.051,
        2.011,
        1.94328,
        1.92881,
        2.03622,
        1.94679,
        2.00885,
        2.02677,
        2.08086,
        2.05725,
        1.98065,
        1.9952,
        2.01649,
        2.111,
        2.08569,
        1.99832,
        2.02891,
        1.99618,
        2.01778,
        2.06195,
        2.10683,
        2.08252,
        2.15397,
        2.00689,
        2.48038,
        2.57461,
        2.18607,
        1.76472,
        2.22622,
        2.2912,
        2.29104,
        2.05985,
        2.20369,
        2.19871,
        2.20006,
        2.17206,
        2.07397,
        2.13172,
        2.38301,
        2.2567,
        2.15863,
        2.26146,
        2.17801,
        2.17392,
        2.19284,
        2.20208,
        2.19744,
        2.11449,
        2.13877,
        2.03151,
        1.99528,
        2.04433,
        2.0436,
        2.06504,
        2.11531,
        2.08244,
        2.15596,
        2.16111,
        2.15704,
        2.20598,
        2.19098,
        2.21317,
        2.20175,
        2.19849,
        2.30788,
        2.25365,
        2.30613,
        2.2676,
        2.3069,
        2.2613,
        2.2884,
        2.35098,
        2.43822,
        2.30757,
        2.35784,
        2.35455,
        2.42604,
        2.43387,
        2.42626,
        2.47659,
        2.41448,
        2.37182,
        2.35316,
        2.4158,
        2.45103,
        2.37265,
        2.45351,
        2.30351,
        2.28898,
        2.57784,
        2.4589,
        2.15803,
        2.35427,
        2.43123,
        1.86959,
        2.2754,
        2.16218,
        2.04014,
        2.30472,
        2.27239,
        2.11963,
        2.12718,
        2.19067,
        2.17226,
        2.30036,
        2.09451,
        2.0897,
        2.11889,
        2.13074,
        2.22621,
        2.22702,
        2.246,
        2.15002,
        2.19072,
        2.17599,
        2.20135,
        2.13213,
        2.12851,
        2.14033,
        2.23302,
        2.18456,
        2.08259,
        2.17103,
        2.11766,
        2.10004,
        2.11129,
        2.06276,
        2.0692,
        2.11247,
        2.03765,
        2.02547,
        2.04661,
        2.17612,
        2.24249,
        2.08677,
        2.03379,
        1.95199,
        1.88282,
        2.05981,
        1.98196,
        2.0811,
        2.04908,
        2.41792,
        1.75171,
        1.94458,
        2.0344,
        2.20988,
        2.00155,
        1.90193,
        2.05483,
        2.05847,
        2.03455,
        2.17148,
        2.06881,
        2.07212,
        2.09279,
        2.19146,
        2.11927,
        2.09923,
        2.05142,
        2.12827,
        2.01801,
        2.07269,
        2.08397,
        2.1058,
        2.17183,
        2.09156,
        2.02742,
        2.05257,
        2.05608,
        2.0463,
        2.04787,
        2.0577,
        2.06349,
        1.97288,
        1.98076,
        1.97948,
        1.98719,
        1.96621,
        2.02901,
        2.07471,
        2.03553,
        2.08546,
        1.98473,
        2.00539,
        2.00265,
        2.04875,
        2.05584,
        2.02764,
        1.99407,
        2.0011,
        2.05913,
        2.02273,
        1.98561,
        2.06705,
        2.11007,
        2.07544,
        1.99807,
        1.96632,
        1.97792,
        1.95966,
        1.9764,
        1.98544,
        1.99055,
        1.94443,
        1.96532,
        1.92842,
        2.01044,
        2.00709,
        2.00939,
        1.9198,
        1.98802,
        2.02593,
        1.99498,
        2.06018,
        2.02473,
        2.0132,
        2.02996,
        1.99372,
        1.96521,
        1.99634,
        1.99905,
        2.01103,
        1.95772,
        1.97827,
        2.0141,
        2.01364,
        1.9664,
        1.97045,
        1.99874,
        2.02192,
        2.09986,
        2.03068,
        2.04882,
        2.0745,
        2.0167,
        2.06874,
        2.04652,
        2.00546,
        2.12136,
        2.04319,
        2.08658,
        2.02172,
        2.13994,
        2.00452,
        2.08164,
        2.09353,
        2.03619,
        2.01562,
        2.01947,
        2.07514,
        2.08133,
        2.0417,
        2.12515,
        2.09496,
        2.17322,
        2.1609,
        1.8507,
        1.90464,
        2.00883,
        1.95949,
        2.06575,
        2.13524,
        2.15655,
        2.17407,
        1.91289,
        2.02598,
        2.12727,
        2.08706,
        2.00753,
        2.07928,
        1.90117,
        1.81527,
        2.13383,
        2.02145,
        2.18357,
        2.19425,
        2.24883,
        2.04532,
        2.10511,
        2.14758,
        2.12853,
        1.95585,
        2.0352,
        2.08846,
        1.94832,
        2.01462,
        1.93984,
        2.01315,
        1.99061,
        1.92707,
        2.0709,
        2.03325,
        2.0736,
        2.01532,
        2.05906,
        2.11211,
        2.08379,
        2.05794,
        2.07753,
        2.05595,
        1.99053,
        2.0538,
        2.0664,
        2.0811,
        2.07925,
        1.94561,
        2.06937,
        1.98206,
        2.00315,
        2.03377,
        2.01199,
        2.05382,
        2.03868,
        1.97774,
        2.0071,
        2.03363,
        2.06023,
        2.05421,
        2.03539,
        2.01383,
        2.04469,
        1.98043,
        2.02991,
        1.98834,
        1.95291,
        2.00512,
        2.01383,
        2.03087,
        2.04295,
        2.0134,
        2.03717,
        2.02355,
        1.98901,
        1.98616,
        2.02295,
        2.06574,
        2.07185,
        2.03442,
        2.06929,
        2.08616,
        2.00817,
        1.98494,
        2.05038,
        2.07015,
        2.07516,
        1.98685,
        2.00022,
        2.05465,
        1.99355,
        1.95583,
        1.98866,
        1.9718,
        1.96955,
        2.06422,
        1.98335,
        2.00908,
        1.95492,
        1.9981,
        1.97227,
        1.97571,
        1.92317,
        1.94064,
        1.92903,
        2.0451,
        2.04112,
        2.08977,
        2.08485,
        2.06795,
        2.11101,
        2.02587,
        1.98313,
        2.00743,
        2.06143,
        2.01868,
        1.90039,
        2.02938,
        2.10094,
        2.05636,
        2.04176,
        2.06459,
        2.01313,
        1.97674,
        1.9002,
        1.95881,
        2.0411,
        1.8461,
        1.99473,
        1.99909,
        1.97836,
        1.84668,
        1.94129,
        2.08991,
        1.87707,
        2.01132,
        2.12169,
        1.94275,
        2.04539,
        2.07517,
        2.11003,
        1.95152,
        2.1395,
        2.02156,
        2.00775,
        2.17416,
        2.04877,
        2.15222,
        2.12684,
        2.07895,
        1.96177,
        2.2808,
        2.24021,
        1.88826,
        2.06217,
        2.17632,
        1.91911,
        1.78677,
        2.24767,
        2.14402,
        2.20254,
        2.25309,
        2.14329,
        2.07391,
        2.0579,
        1.97868,
        2.04783,
        2.05445,
        2.01054,
        2.09006,
        2.14192,
        2.08366,
        2.06853,
        2.00311,
        2.15569,
        2.07333,
        2.11781,
        2.18544,
        2.18784,
        2.13829,
        2.15874,
        2.15922,
        2.15864,
        2.12617,
        2.14629,
        2.19292,
        2.14439,
        2.13062,
        2.04344,
        2.04004,
        2.06888,
        2.10067,
        2.14356,
        2.12554,
        2.13262,
        2.07528,
        2.14055,
        2.16118,
        2.26791,
        2.27972,
        2.21815,
        2.24917,
        2.16978,
        2.14531,
        2.23485,
        2.26372,
        2.32064,
        2.33302,
        2.21381,
        2.25676,
        2.30361,
        2.40197,
        2.41914,
        2.45246,
        2.43751,
        2.36609,
        2.397,
        2.33801,
        2.43567,
        2.39188,
        2.26303,
        null,
        1.97343,
        1.99515,
        2.05161,
        2.044,
        2.00136,
        2.0259,
        2.0331,
        1.96575,
        1.99667,
        1.96065,
        1.87902,
        1.90622,
        1.88705,
        1.92391,
        2.03033,
        1.99221,
        2.02911,
        2.07149,
        1.9799,
        1.97638,
        2.10967,
        2.10716,
        1.99127,
        1.92804,
        1.93748,
        1.91367,
        1.96788,
        2.00721,
        1.97703,
        1.9653,
        1.96537,
        1.98998,
        2.02279,
        1.99119,
        1.97258,
        1.95435,
        1.96486,
        1.97967,
        2.02315,
        2.06088,
        1.99365,
        2.0046,
        2.02365,
        2.02778,
        1.96713,
        1.95093,
        1.95891,
        1.96314,
        2.01114,
        2.02891,
        2.06372,
        2.11409,
        2.07535,
        1.96039,
        1.97865,
        1.87001,
        1.83013,
        1.99186,
        2.05401,
        2.07374,
        2.04685,
        2.00308,
        2.04835,
        2.10976,
        1.97876,
        1.94717,
        1.98073,
        2.02297,
        2.00086,
        1.97602,
        2.00869,
        1.9539,
        1.96623,
        2.00969,
        2.01625,
        2.01159,
        2.01597,
        1.96444,
        1.91456,
        1.88981,
        1.86498,
        1.88621,
        1.88809,
        1.88981,
        1.91928,
        1.92682,
        1.83957,
        1.87807,
        1.94334,
        1.95914,
        1.92271,
        1.88798,
        1.93013,
        1.98139,
        1.95228,
        1.93555,
        1.89542,
        1.94162,
        2.00938,
        2.03814,
        2.03808,
        1.9704,
        1.94408,
        1.98982,
        2.00215,
        2.01666,
        1.97448,
        1.99766,
        1.99035,
        1.95316,
        1.94766,
        1.96521,
        1.96754,
        1.97302,
        1.95579,
        1.99296,
        1.97505,
        1.93935,
        1.93695,
        1.97195,
        2.01862,
        1.98839,
        1.9511,
        2.08384,
        2.12705,
        2.03393,
        2.00286,
        2.00509,
        1.99265,
        1.96493,
        2.07537,
        2.00021,
        1.99725,
        2.03749,
        1.99898,
        2.00002,
        2.04723,
        2.02474,
        2.01028,
        2.07845,
        2.01957,
        2.00465,
        2.03777,
        2.00204,
        1.96486,
        1.95155,
        1.9305,
        1.96632,
        1.97846,
        2.0206,
        2.03254,
        2.01551,
        1.99361,
        2.01202,
        1.98257,
        1.98815,
        1.99872,
        1.96323,
        1.96407,
        2.0028,
        2.00111,
        1.99395,
        2.04251,
        2.07014,
        2.05632,
        2.06549,
        2.03033,
        2.03108,
        2.13704,
        2.10873,
        1.99392,
        2.08392,
        2.1226,
        2.02419,
        2.03058,
        2.16736,
        2.12234,
        1.95198,
        2.03314,
        2.02781,
        2.05738,
        2.13468,
        2.15934,
        2.13668,
        2.09372,
        2.06794,
        2.10048,
        2.02404,
        2.04491,
        2.08349,
        2.18905,
        2.18553,
        2.18832,
        2.13116,
        2.13414,
        2.10866,
        2.08487,
        2.11339,
        2.14338,
        2.09474,
        2.07394,
        2.07654,
        2.0775,
        2.10864,
        2.14466,
        2.14346,
        2.16475,
        2.14418,
        2.09674,
        2.06493,
        2.06473,
        2.04505,
        2.02796,
        2.01301,
        2.02242,
        2.11041,
        2.13132,
        2.14366,
        2.18136,
        2.19608,
        2.19143,
        2.08779,
        2.10338,
        2.14766,
        2.14278,
        2.18214,
        2.22764,
        2.22938,
        2.23876,
        2.28269,
        2.24726,
        2.31872,
        2.37084,
        2.33301,
        2.30593,
        2.29589,
        2.31565,
        2.28176,
        2.25706,
        2.32759,
        2.40092,
        2.37501,
        2.33244,
        2.28549,
        2.34252,
        2.27497,
        2.22106,
        2.09211,
        2.18595,
        2.12107,
        2.02624,
        2.13924,
        2.26592,
        2.32354,
        2.35751,
        2.27634,
        2.1807,
        2.17339,
        2.12299,
        2.16422,
        2.27544,
        2.19785,
        2.10579,
        2.12687,
        2.12722,
        2.19242,
        2.21399,
        2.1337,
        2.14283,
        2.06283,
        2.05017,
        2.08968,
        2.13978,
        2.10457,
        2.04505,
        2.0382,
        2.0458,
        2.01812,
        2.13406,
        2.11865,
        2.0914,
        2.05044,
        2.0592,
        2.05169,
        2.08922,
        2.10747,
        2.08161,
        2.04183,
        2.07984,
        2.14557,
        2.14899,
        2.13109,
        2.09292,
        2.12263,
        2.09866,
        2.09635,
        2.00937,
        1.98004,
        1.95596,
        2.00834,
        1.98199,
        2.00282,
        2.00559,
        1.99115,
        1.99408,
        1.97286,
        1.97553,
        2.01404,
        2.01191,
        1.99692,
        1.99326,
        1.99307,
        2.03268,
        2.03093,
        1.96911,
        1.9344,
        1.92664,
        1.96509,
        1.99101,
        1.98139,
        1.95832,
        1.94518,
        1.95623,
        1.98343,
        1.9599,
        1.95828,
        1.95062,
        1.96046,
        1.95501,
        1.94547,
        1.96541,
        1.95896,
        1.92129,
        1.91146,
        1.87538,
        1.96134,
        1.98156,
        2.0051,
        2.0119,
        2.00241,
        1.99517,
        1.96189,
        1.98602,
        2.036,
        2.03302,
        2.04448,
        1.97496,
        1.93837,
        1.90445,
        2.00702,
        2.02202,
        1.97882,
        1.97297,
        2.00705,
        2.03226,
        2.00097,
        1.97967,
        2.0174,
        2.03476,
        2.03421,
        2.05113,
        2.08138,
        2.00026,
        2.04458,
        2.0185,
        1.9381,
        2.01342,
        2.02728,
        1.9874,
        1.98025,
        2.02015,
        2.0503,
        2.06496,
        2.05666,
        2.04029,
        2.07424,
        2.00096,
        1.93964,
        1.95521,
        1.98284,
        1.94073,
        1.98045,
        2.01391,
        1.98247,
        1.94509,
        1.96823,
        2.01478,
        2.04548,
        2.05817,
        2.0827,
        2.03513,
        1.96679,
        2.03684,
        2.0757,
        2.06541,
        2.05135,
        1.98289,
        1.94571,
        1.94385,
        2.02155,
        1.98147,
        2.02576,
        1.98326,
        1.94126,
        1.93895,
        1.99326,
        1.91107,
        2.08585,
        2.06593,
        2.14911,
        2.09083,
        2.04279,
        2.0274,
        1.9592,
        1.92818,
        1.95901,
        2.00607,
        2.02647,
        2.01112,
        1.98012,
        1.92493,
        2.03247,
        1.99579,
        2.02717,
        2.04782,
        2.06641,
        2.08309,
        2.02568,
        2.03993,
        2.02495,
        2.00765,
        2.02142,
        2.00428,
        1.97029,
        2.00576,
        2.06809,
        2.03104,
        2.02341,
        2.01113,
        2.05061,
        2.02067,
        2.0166,
        2.02287,
        2.00083,
        2.02888,
        1.98201,
        1.99474,
        2.01733,
        1.97336,
        1.98752,
        2.01181,
        1.99857,
        2.00822,
        1.94166,
        1.97002,
        2.07673,
        2.02045,
        1.97858,
        1.96165,
        2.05028,
        2.01045,
        2.08566,
        1.97637,
        2.06847,
        2.03489,
        2.04417,
        2.05649,
        2.03974,
        2.00433,
        1.97623,
        1.94552,
        1.97344,
        2.07778,
        2.00558,
        1.97004,
        1.99653,
        1.97045,
        2.00728,
        2.00856,
        1.95481,
        1.97975,
        2.00448,
        2.0181,
        2.02136,
        1.99688,
        1.97518,
        1.97865,
        1.98483,
        1.96325,
        1.92646,
        1.98273,
        1.98084,
        1.94974,
        1.98435,
        1.97971,
        1.96832,
        1.95205,
        1.98829,
        2.03158,
        2.07315,
        2.0435,
        1.96316,
        1.94899,
        1.99653,
        1.98831,
        1.95747,
        1.9851,
        1.98373,
        1.96329,
        1.96273,
        1.95834,
        1.99443,
        1.97083,
        1.98251,
        1.98992,
        2.05043,
        2.02624,
        1.98321,
        2.01592,
        2.02059,
        2.01188,
        2.05251,
        2.04369,
        2.05241,
        2.05716,
        2.10217,
        2.06672,
        2.06738,
        2.03986,
        2.05407,
        2.03569,
        2.01314,
        2.00038,
        1.99102,
        2.0227,
        2.02026,
        2.02489,
        2.04307,
        2.06267,
        2.03316,
        2.07697,
        2.06109,
        2.02218,
        2.01998,
        2.11842,
        2.14095,
        2.03234,
        2.14068,
        2.06284,
        2.01651,
        2.08496,
        2.14135,
        2.12001,
        2.13901,
        2.09938,
        2.09978,
        2.06794,
        2.11053,
        2.10085,
        2.10088,
        2.06827,
        2.10586,
        2.10592,
        2.11642,
        2.10751,
        2.10995,
        2.14664,
        2.13347,
        2.12982,
        2.09942,
        2.14719,
        2.12007,
        2.11641,
        2.13294,
        2.13089,
        2.13011,
        2.18797,
        2.21327,
        2.14382,
        2.14109,
        2.08087,
        2.0268,
        2.00792,
        2.02717,
        2.06314,
        2.00467,
        2.02109,
        2.07949,
        2.07575,
        2.10324,
        2.14593,
        2.09906,
        2.14117,
        2.15814,
        2.14429,
        2.11517,
        2.1778,
        2.19198,
        2.14306,
        2.19689,
        2.25275,
        2.28628,
        2.3525,
        2.33333,
        2.3005,
        2.37329,
        2.35509,
        2.3018,
        2.32521,
        2.26445,
        2.24772,
        2.26515,
        2.31726,
        2.35939,
        2.33917,
        2.28294,
        2.32396,
        2.4267,
        2.30407,
        2.22591,
        2.20264,
        2.30549,
        2.01883,
        1.82734,
        2.12311,
        1.98978,
        2.20935,
        2.23725,
        2.26202,
        2.10877,
        2.18882,
        2.10434,
        2.09881,
        2.16197,
        2.11047,
        2.04161,
        2.0319,
        2.08536,
        2.12239,
        2.11431,
        2.12191,
        2.09966,
        2.07932,
        2.08287,
        2.14678,
        2.11364,
        2.09084,
        2.10895,
        2.02805,
        2.08413,
        2.09967,
        2.07791,
        2.03308,
        2.04234,
        2.05222,
        2.09518,
        2.08453,
        2.03839,
        2.04627,
        2.00279,
        2.03201,
        2.07792,
        2.09108,
        2.14182,
        1.99719,
        2.07993,
        2.05963,
        2.00594,
        2.03418,
        2.0077,
        2.00502,
        2.01372,
        2.09698,
        2.00559,
        1.99992,
        2.02098,
        2.01209,
        2.06859,
        2.0066,
        1.97393,
        1.99706,
        1.96464,
        1.99126,
        2.01978,
        1.95374,
        1.98961,
        1.98839,
        1.95088,
        1.98446,
        1.99258,
        1.9685,
        1.93113,
        1.94107,
        2.00509,
        2.08273,
        2.01883,
        1.94749,
        1.97418,
        1.95401,
        1.9309,
        2.02794,
        1.97154,
        1.93889,
        1.94488,
        1.95044,
        1.9618,
        1.9405,
        1.97032,
        1.96427,
        1.95508,
        1.96637,
        1.99238,
        2.00956,
        1.99365,
        2.02404,
        2.0044,
        1.97464,
        1.98118,
        2.00154,
        2.00666,
        1.99528,
        1.99278,
        2.00101,
        2.00663,
        1.96247,
        1.97078,
        1.99317,
        1.9925,
        1.97634,
        1.98836,
        1.99766,
        1.95069,
        1.94319,
        1.9749,
        1.92642,
        1.93357,
        1.97148,
        1.97073,
        1.95064,
        1.95908,
        2.01598,
        1.96309,
        1.91893,
        2.02362,
        2.00194,
        1.98841,
        2.02188,
        1.97694,
        1.97069,
        2.00289,
        2.02244,
        2.02245,
        1.96925,
        1.99389,
        1.98912,
        2.00621,
        2.02257,
        2.07054,
        2.01358,
        1.99223,
        2.03494,
        2.00938,
        1.99484,
        1.99925,
        1.98731,
        2.00249,
        1.97562,
        2.02711,
        1.99071,
        1.97845,
        2.0078,
        1.98296,
        2.01201,
        2.0273,
        2.01739,
        2.00985,
        1.96918,
        2.01334,
        1.97325,
        1.97603,
        1.96751,
        2.02233,
        2.05217,
        2.04295,
        2.00694,
        1.98401,
        1.98794,
        2.01426,
        2.01838,
        2.03634,
        1.98461,
        2.02159,
        1.99073,
        2.05896,
        2.0227,
        1.95793,
        1.96993,
        1.97895,
        2.03563,
        1.99177,
        1.96115,
        1.96428,
        2.0232,
        2.01084,
        2.05965,
        2.08043,
        2.04242,
        2.02122,
        1.9241,
        1.90095,
        1.94878,
        1.9494,
        1.92966,
        1.94651,
        1.96044,
        1.97428,
        1.97026,
        1.94858,
        1.94527,
        1.94662,
        2.00666,
        1.94578,
        1.95341,
        2.001,
        2.00614,
        1.9751,
        1.99733,
        2.005,
        2.00736,
        2.05068,
        2.01341,
        1.98915,
        2.00246,
        2.06464,
        2.03399,
        2.02754,
        1.97812,
        1.9859,
        2.05423,
        2.04521,
        2.03209,
        2.03316,
        2.01216,
        2.02026,
        1.99463,
        1.98388,
        1.99099,
        2.02342,
        1.97945,
        1.96872,
        1.94895,
        1.92199,
        1.93094,
        1.97739,
        1.97338,
        1.97261,
        1.9846,
        2.02048,
        2.08299,
        2.03545,
        2.05022,
        2.03226,
        2.02285,
        2.02665,
        1.98466,
        2.03065,
        2.00529,
        2.03722,
        1.99952,
        1.99864,
        1.99447,
        2.03021,
        2.02809,
        2.05545,
        2.04995,
        2.04606,
        2.05529,
        2.10485,
        2.05761,
        2.03558,
        2.02148,
        2.01484,
        2.05038,
        2.04717,
        2.02858,
        2.04177,
        2.08043,
        2.08686,
        2.02683,
        2.02058,
        2.02913,
        2.0577,
        2.11864,
        2.08511,
        2.07154,
        2.06703,
        2.03662,
        2.1039,
        2.03933,
        2.0232,
        1.997,
        2.02517,
        2.06225,
        2.0127,
        2.05367,
        2.06525,
        2.02429,
        2.01591,
        2.03224,
        1.98118,
        1.99269,
        1.93987,
        1.99244,
        1.97679,
        2.00613,
        1.96828,
        1.99814,
        2.00337,
        1.98203,
        2.00254,
        2.04219,
        2.04387,
        2.05755,
        2.02336,
        2.02714,
        2.04792,
        2.05081,
        2.08879,
        2.05707,
        2.06508,
        1.98843,
        2.04455,
        2.08975,
        2.07885,
        2.10591,
        2.09087,
        2.07808,
        2.08633,
        2.10939,
        2.0814,
        2.0802,
        2.08072,
        2.06633,
        2.09827,
        2.1302,
        2.10629,
        2.03291,
        2.06532,
        2.09265,
        2.04375,
        2.05108,
        2.03984,
        2.11981,
        2.05912,
        2.0862,
        2.05494,
        2.07781,
        2.0623,
        2.07927,
        2.09218,
        2.09526,
        2.11929,
        2.08668,
        2.07602,
        2.12312,
        2.14742,
        2.19307,
        2.20513,
        2.14595,
        2.07212,
        2.10685,
        2.10852,
        2.08233,
        2.05809,
        2.03432,
        2.08969,
        2.1109,
        2.15478,
        2.16692,
        2.10731,
        2.0751,
        2.12294,
        2.18288,
        2.15215,
        2.13565,
        2.18963,
        2.16933,
        2.17788,
        2.16355,
        2.21083,
        2.22615,
        2.29805,
        2.30217,
        2.29941,
        2.28601,
        2.29328,
        2.3013,
        2.27472,
        2.26888,
        2.30945,
        2.31037,
        2.24724,
        2.24532,
        2.38255,
        2.40849,
        2.25549,
        2.27165,
        2.23141,
        2.26301,
        2.37645,
        2.1699,
        2.29691,
        2.53842,
        2.83918,
        3.07317,
        1.8405,
        2.2502,
        2.13402,
        2.17458,
        2.06705,
        2.07398,
        2.11501,
        2.16539,
        2.13731,
        2.07729,
        2.06499,
        2.04002,
        2.05749,
        2.03734,
        2.06252,
        2.13867,
        2.092,
        2.10922,
        2.06637,
        2.01537,
        2.03595,
        2.05893,
        2.07918,
        2.00365,
        2.07998,
        2.08697,
        2.04351,
        2.05612,
        1.99931,
        2.01574,
        2.06337,
        2.00952,
        2.00576,
        2.01162,
        2.07987,
        2.05758,
        2.0235,
        1.97714,
        2.00386,
        2.02258,
        2.02165,
        2.01603,
        2.02763,
        1.98407,
        1.97813,
        1.98973,
        2.03646,
        2.09107,
        2.01186,
        1.95524,
        2.0203,
        1.97503,
        1.98547,
        1.98974,
        1.99424,
        2.04966,
        2.05816,
        2.03821,
        2.00675,
        1.96636,
        2.003,
        2.02507,
        1.98481,
        2.03672,
        2.00909,
        2.00268,
        2.043,
        1.96839,
        2.00288,
        2.04908,
        2.03452,
        2.02445,
        2.00413,
        2.01459,
        2.0404,
        2.00521,
        1.99025,
        1.97676,
        2.04273,
        1.99943,
        1.98491,
        2.00859,
        2.03312,
        1.98282,
        1.9981,
        1.99711,
        2.02266,
        2.04445,
        2.03189,
        1.98791,
        1.99721,
        2.02716,
        1.9877,
        1.99729,
        1.99307,
        1.97928,
        1.97611,
        1.98893,
        2.03925,
        2.00102,
        1.99055,
        1.97467,
        1.9798,
        2.01835,
        1.98349,
        1.98722,
        1.98076,
        1.93898,
        1.94264,
        1.95409,
        1.90074,
        1.92736,
        1.94528,
        1.99981,
        1.97112,
        1.94071,
        1.94792,
        1.94191,
        1.99453,
        1.91336,
        1.89077,
        1.98868,
        1.99244,
        1.95469,
        1.98214,
        2.01097,
        2.0122,
        1.92344,
        1.93041,
        1.94539,
        1.99775,
        1.97571,
        1.96334,
        1.95122,
        1.99231,
        2.01593,
        1.97626,
        2.02101,
        1.95611,
        1.96704,
        2.04012,
        2.01163,
        2.01074,
        1.97295,
        1.98604,
        2.01955,
        1.99664,
        2.00369,
        2.02869,
        1.95531,
        1.92493,
        1.95393,
        1.96635,
        1.99007,
        1.97453,
        1.96292,
        1.94404,
        1.9134,
        1.96004,
        1.9861,
        2.01034,
        1.97639,
        1.98096,
        2.01837,
        2.00622,
        1.98193,
        2.02223,
        2.06497,
        2.0264,
        2.0592,
        2.03449,
        2.00615,
        1.99942,
        2.0347,
        2.04771,
        1.96726,
        2.01236,
        2.00261,
        2.02562,
        2.0293,
        1.99424,
        1.95285,
        1.97674,
        1.97347,
        2.00674,
        2.03498,
        2.0787,
        2.01494,
        2.08197,
        2.01569,
        2.0297,
        2.02871,
        1.985,
        2.01981,
        2.05648,
        2.0281,
        1.99441,
        1.96287,
        1.97498,
        2.01927,
        2.05943,
        1.99923,
        2.02973,
        2.00512,
        2.04187,
        2.06437,
        2.00396,
        2.08254,
        2.0453,
        2.04725,
        2.01921,
        2.07125,
        2.04856,
        2.03801,
        2.05074,
        2.01139,
        1.96122,
        2.05723,
        2.04719,
        2.06131,
        2.07912,
        2.06473,
        2.04477,
        2.03759,
        2.03332,
        1.96677,
        1.97698,
        2.00985,
        2.06115,
        2.05475,
        2.06221,
        2.02062,
        2.00228,
        2.06324,
        2.14533,
        2.07177,
        2.10051,
        2.08549,
        2.04837,
        2.08536,
        2.20957,
        2.11588,
        2.05288,
        1.87826,
        2.1115,
        2.06797,
        1.98883,
        1.98839,
        2.06322,
        2.08048,
        2.09381,
        2.03391,
        2.09028,
        2.02763,
        2.07958,
        2.09425,
        2.04437,
        2.02444,
        2.00031,
        2.05214,
        2.03165,
        2.02557,
        2.00814,
        1.95581,
        1.95189,
        1.95837,
        2.00461,
        1.98922,
        1.99888,
        1.94862,
        1.96465,
        1.98115,
        2.00399,
        1.96997,
        2.00797,
        2.02983,
        2.00192,
        2.00986,
        2.02283,
        1.99384,
        1.9831,
        1.97002,
        2.00465,
        2.03426,
        1.99024,
        2.00731,
        2.01981,
        2.0462,
        2.01387,
        1.98715,
        2.01477,
        2.05067,
        2.01242,
        2.0196,
        1.99295,
        2.01827,
        2.02911,
        2.05647,
        2.00742,
        2.02085,
        2.08995,
        2.07527,
        2.08267,
        2.0293,
        1.99816,
        2.011,
        2.00506,
        2.13168,
        2.03591,
        2.02097,
        2.10758,
        2.06675,
        2.02021,
        2.00291,
        1.96757,
        2.03629,
        2.06036,
        2.02435,
        1.99874,
        2.03614,
        2.05719,
        2.10093,
        2.02996,
        2.02671,
        2.09877,
        2.03496,
        1.96962,
        2.04634,
        2.07414,
        2.03401,
        2.01948,
        1.99549,
        2.03412,
        2.03992,
        1.93301,
        2.08632,
        2.04459,
        2.06394,
        2.04435,
        2.09898,
        2.00801,
        2.07043,
        2.06536,
        2.04848,
        2.04591,
        2.03456,
        2.05691,
        2.12672,
        2.09239,
        2.10675,
        2.09659,
        2.10922,
        2.08325,
        2.11235,
        2.13566,
        2.14899,
        2.08654,
        2.14602,
        2.17349,
        2.10826,
        2.1372,
        2.14406,
        2.04852,
        2.05553,
        2.07825,
        2.07746,
        2.06743,
        2.06829,
        2.07255,
        2.09153,
        2.08374,
        2.09997,
        2.14994,
        2.1797,
        2.18748,
        2.14929,
        2.13154,
        2.12446,
        2.07338,
        2.12955,
        2.15382,
        2.21778,
        2.14394,
        2.20001,
        2.2214,
        2.26105,
        2.24208,
        2.28926,
        2.25288,
        2.25929,
        2.20135,
        2.14317,
        2.23147,
        2.24165,
        2.1716,
        2.24379,
        2.31357,
        2.26328,
        2.2198,
        2.21179,
        2.17916,
        2.29275,
        2.13386,
        2.12528,
        2.24417,
        2.13808,
        2.28691,
        2.21288,
        1.93765,
        2.0997,
        2.01286,
        2.0477,
        2.4047,
        2.38093,
        2.16959,
        2.12307,
        2.11023,
        2.11166,
        2.20743,
        2.05676,
        2.06258,
        1.92184,
        2.08071,
        2.05693,
        2.15828,
        2.18726,
        1.84373,
        1.90593,
        1.89567,
        2.35612,
        2.34582,
        1.99893,
        2.11151,
        2.07782,
        1.82426,
        1.93398,
        2.05991,
        2.07669,
        1.91665,
        1.92144,
        2.11464,
        2.02572,
        2.02027,
        2.00166,
        1.95971,
        2.06481,
        1.9006,
        1.9828,
        2.00157,
        2.02121,
        2.0089,
        1.94817,
        2.00844,
        1.95037,
        2.00151,
        1.9712,
        1.9995,
        1.98937,
        1.93571,
        1.96326,
        1.94866,
        2.03453,
        2.05906,
        2.04455,
        2.03799,
        2.03444,
        1.95957,
        2.07169,
        2.05849,
        2.00021,
        1.9716,
        1.9556,
        2.04906,
        2.07965,
        2.01383,
        2.06212,
        1.95007,
        1.98088,
        2.06072,
        2.02591,
        2.0099,
        2.02954,
        2.03432,
        1.99805,
        1.97803,
        2.03752,
        1.99687,
        2.03024,
        2.06108,
        2.02048,
        2.01431,
        2.04365,
        2.0411,
        2.05565,
        2.05267,
        2.02794,
        2.09184,
        2.04738,
        2.0673,
        2.03294,
        2.01458,
        2.05374,
        2.08273,
        2.01754,
        2.03469,
        2.04328,
        1.99308,
        2.08558,
        2.0363,
        2.01732,
        2.0379,
        2.02847,
        1.97337,
        2.01504,
        2.01024,
        2.03071,
        2.04914,
        1.99735,
        1.99806,
        2.04623,
        2.03948,
        2.05341,
        2.09701,
        2.06406,
        2.03988,
        2.03243,
        2.00851,
        2.01417,
        1.98472,
        1.97488,
        2.03993,
        2.0129,
        2.01666,
        1.99745,
        2.03,
        1.99207,
        2.0033,
        2.00113,
        1.98455,
        2.00711,
        2.02774,
        2.07893,
        2.01593,
        1.9497,
        1.98784,
        2.01985,
        2.08073,
        2.00188,
        2.04067,
        1.98514,
        2.03806,
        2.03566,
        2.11637,
        2.10562,
        2.04105,
        1.98227,
        2.03074,
        2.14106,
        2.06902,
        2.04706,
        1.99975,
        2.07113,
        1.98012,
        2.09403,
        2.04405,
        2.0446,
        2.02402,
        2.00097,
        1.9938,
        2.00077,
        2.07016,
        2.0239,
        1.98327,
        2.01841,
        2.01128,
        2.01794,
        2.02034,
        2.09912,
        2.07626,
        2.08249,
        2.07127,
        2.06755,
        2.06198,
        2.05494,
        2.06781,
        2.02331,
        2.03671,
        2.07337,
        2.12868,
        2.04637,
        1.98279,
        2.085,
        2.11291,
        2.11189,
        2.05949,
        2.03123,
        2.03257,
        2.10436,
        2.10499,
        2.02695,
        2.03955,
        2.06712,
        2.0607,
        2.02821,
        2.0192,
        2.1066,
        1.97785,
        2.05485,
        2.09806,
        2.08597,
        2.03118,
        1.99949,
        2.0208,
        2.01704,
        2.03041,
        2.03662,
        1.98429,
        2.0087,
        2.01093,
        2.0502,
        2.0196,
        2.01544,
        2.03072,
        2.05532,
        2.00523,
        1.98853,
        2.04423,
        2.02697,
        2.0145,
        2.06084,
        2.0281,
        2.04054,
        2.03491,
        1.99727,
        2.01732,
        2.08204,
        2.0351,
        1.99963,
        1.99274,
        1.99727,
        2.03293,
        2.0468,
        1.99367,
        2.00456,
        1.95004,
        2.00118,
        1.93201,
        1.96924,
        1.98363,
        2.03494,
        1.98659,
        2.02884,
        2.00433,
        2.04049,
        2.0311,
        1.98914,
        1.98007,
        2.0032,
        2.02703,
        2.06414,
        2.0759,
        2.07336,
        2.04541,
        2.05523,
        2.19902,
        2.07537,
        2.00433,
        2.02255,
        1.9857,
        1.99033,
        2.01311,
        1.9838,
        2.01026,
        2.08916,
        2.02612,
        2.00773,
        1.96702,
        1.95809,
        1.98001,
        2.0143,
        2.07801,
        2.05465,
        1.984,
        1.98155,
        2.0146,
        2.02623,
        2.00696,
        2.04691,
        2.09885,
        2.04139,
        1.96409,
        2.04386,
        2.02941,
        2.02453,
        2.02423,
        2.03224,
        1.98907,
        1.98763,
        2.02941,
        2.03304,
        1.9522,
        1.98708,
        2.01015,
        1.97557,
        1.93845,
        2.04152,
        1.96454,
        2.00948,
        1.98313,
        2.0969,
        2.02826,
        2.04155,
        2.01468,
        2.04073,
        2.05214,
        2.07694,
        2.0052,
        2.00613,
        2.10329,
        2.05395,
        1.97163,
        2.00603,
        2.04561,
        2.04492,
        2.08051,
        2.07039,
        1.98818,
        2.03092,
        1.97573,
        1.94938,
        2.03951,
        1.99435,
        1.97836,
        2.02661,
        1.99961,
        1.97539,
        2.04393,
        2.04383,
        2.10476,
        1.99321,
        2.02184,
        1.99565,
        2.05643,
        2.08272,
        1.99404,
        2.08924,
        2.06592,
        2.04742,
        2.04713,
        2.05751,
        2.01964,
        2.07912,
        2.066,
        2.07397,
        2.07872,
        2.02114,
        2.04297,
        2.1226,
        2.09442,
        2.07273,
        2.08692,
        2.16894,
        2.14449,
        2.16823,
        2.13833,
        2.14529,
        2.13116,
        2.11817,
        2.14427,
        2.09547,
        2.10732,
        2.14179,
        2.12161,
        2.11661,
        2.11725,
        2.17192,
        2.14883,
        2.10052,
        2.16614,
        2.11576,
        2.16249,
        2.09028,
        2.11248,
        2.13504,
        2.1151,
        2.09354,
        2.08858,
        2.16118,
        2.05194,
        2.06781,
        2.03171,
        2.16295,
        2.15347,
        2.13359,
        2.14999,
        2.19086,
        2.14006,
        2.0768,
        2.06221,
        2.08864,
        2.14145,
        2.12624,
        2.11308,
        2.21686,
        2.24902,
        2.24475,
        2.29444,
        2.26435,
        2.17601,
        2.19135,
        2.22695,
        2.2915,
        2.19148,
        2.23386,
        2.38154,
        2.33782,
        2.25664,
        2.14534,
        2.22427,
        2.23682,
        2.26931,
        2.32057,
        2.35759,
        2.14228,
        2.13457,
        2.27818,
        2.36458,
        2.33987,
        2.03186,
        2.35227,
        1.97608,
        2.09578,
        2.37646,
        2.40196,
        2.10995,
        2.26616,
        2.34879,
        2.07498,
        2.2032,
        2.28491,
        2.0452,
        1.98138,
        2.10315,
        2.0919,
        2.02872,
        2.0632,
        2.04353,
        2.13886,
        2.13945,
        2.13624,
        2.11262,
        2.1209,
        2.05459,
        2.08717,
        2.00743,
        2.06807,
        2.14856,
        2.02026,
        2.07689,
        2.0733,
        2.11642,
        2.02792,
        2.09777,
        2.03453,
        2.08477,
        2.15894,
        1.976,
        2.01118,
        2.14624,
        1.95053,
        2.102,
        2.02737,
        2.02244,
        2.10486,
        2.07961,
        2.0115,
        2.04471,
        2.10068,
        2.13282,
        2.05703,
        2.043,
        2.06871,
        2.05002,
        1.95126,
        2.05315,
        2.03961,
        2.03728,
        2.0866,
        2.04767,
        2.07641,
        2.04995,
        1.98963,
        2.05052,
        2.03022,
        1.97411,
        2.00491,
        2.03351,
        2.05624,
        1.99094,
        1.92008,
        2.11399,
        1.95401,
        1.98049,
        2.06116,
        2.03361,
        2.05675,
        1.9109,
        1.93808,
        1.96275,
        1.96881,
        1.97902,
        1.97491,
        1.95677,
        2.00755,
        2.04138,
        2.02975,
        2.042,
        1.95005,
        1.98482,
        1.99752,
        2.02605,
        2.00339,
        1.9835,
        2.01675,
        1.97351,
        2.01251,
        1.94057,
        1.95385,
        1.98651,
        2.06161,
        2.0876,
        2.02086,
        2.05579,
        1.94106,
        2.0345,
        1.95552,
        1.9703,
        1.97961,
        1.93302,
        1.9508,
        2.05758,
        2.00439,
        2.00355,
        1.9727,
        2.07261,
        2.0013,
        2.05248,
        1.94887,
        1.98646,
        2.11558,
        2.07713,
        1.94002,
        1.99821,
        1.96638,
        2.06868,
        2.01646,
        1.96686,
        null,
        2.01618,
        1.96207,
        1.94406,
        1.93617,
        2.00389,
        1.99623,
        1.98307,
        2.00435,
        2.00327,
        2.00005,
        2.00169,
        2.00962,
        2.01601,
        2.04206,
        2.06266,
        2.07187,
        2.04398,
        2.03062,
        2.05534,
        2.02155,
        2.03251,
        2.04367,
        1.96444,
        1.97527,
        2.00531,
        1.98908,
        2.01566,
        1.97366,
        1.96387,
        1.94624,
        1.9246,
        1.96558,
        1.99117,
        1.97214,
        1.93159,
        1.94701,
        1.95584,
        1.97855,
        1.93259,
        1.95485,
        1.97058,
        1.98562,
        1.96826,
        1.97344,
        1.98385,
        1.99517,
        2.01499,
        2.00217,
        2.01263,
        2.02188,
        2.03394,
        2.05043,
        2.05298,
        2.05332,
        2.09544,
        2.1054,
        2.05833,
        2.05638,
        2.07474,
        2.09542,
        2.07355,
        2.07198,
        2.1148,
        2.13432,
        2.09409,
        2.13757,
        2.13766,
        2.0746,
        2.11702,
        2.15194,
        2.16903,
        2.14774,
        2.07573,
        2.09882,
        2.0732,
        2.0974,
        2.13655,
        2.10383,
        2.11113,
        2.08866,
        2.06159,
        2.11194,
        2.11825,
        2.09985,
        2.13809,
        2.16616,
        2.12342,
        2.08611,
        2.07425,
        2.0472,
        2.06548,
        2.09703,
        2.11757,
        2.12823,
        2.08333,
        2.12341,
        2.17732,
        2.17581,
        2.15926,
        2.15059,
        2.17302,
        2.17869,
        2.17717,
        2.18041,
        2.17663,
        2.15718,
        2.22595,
        2.25354,
        2.22378,
        2.23377,
        2.25443,
        2.24909,
        2.25038,
        2.24163,
        2.18858,
        2.10883,
        2.04511,
        2.12064,
        2.17642,
        2.21853,
        2.17231,
        2.19262,
        2.24454,
        2.165,
        2.186,
        2.16348,
        2.10813,
        2.22642,
        2.37528,
        2.3095,
        2.1066,
        2.05673,
        2.18285,
        2.16282,
        2.14109,
        2.07924,
        2.06597,
        2.09575,
        2.17,
        2.10905,
        2.09735,
        2.10409,
        2.08127,
        2.06543,
        2.07247,
        2.07799,
        2.08697,
        2.05143,
        2.05375,
        2.08573,
        2.12178,
        2.15038,
        2.0817,
        2.06498,
        2.07018,
        2.05429,
        2.02234,
        2.02569,
        2.0611,
        2.01777,
        1.98878,
        2.0403,
        2.05726,
        2.05842,
        2.03933,
        2.0416,
        2.02663,
        2.03148,
        2.05522,
        2.01779,
        1.98455,
        2.02183,
        2.03309,
        2.03162,
        1.97982,
        2.00058,
        2.04541,
        2.00755,
        2.01738,
        1.98951,
        1.97012,
        2.00785,
        2.02438,
        2.01541,
        2.04878,
        2.03358,
        2.02386,
        2.01742,
        2.06277,
        2.04721,
        2.02948,
        2.05056,
        2.02681,
        2.00767,
        2.0255,
        2.07558,
        2.08426,
        2.01869,
        1.98283,
        2.04264,
        2.05502,
        2.04088,
        2.05611,
        2.05785,
        2.05025,
        2.05831,
        2.03211,
        2.02548,
        2.05531,
        2.07577,
        2.053,
        2.03564,
        2.03833,
        2.03941,
        2.06624,
        2.05211,
        2.01096,
        2.00156,
        2.00589,
        1.99307,
        2.04096,
        2.02479,
        2.02305,
        2.01961,
        1.98391,
        1.98776,
        2.06249,
        2.04627,
        2.03836,
        2.07201,
        2.05445,
        2.07939,
        2.04919,
        2.04363,
        2.05633,
        2.05665,
        2.08465,
        2.12179,
        2.11655,
        2.15224,
        2.07494,
        2.06921,
        2.06437,
        2.11691,
        2.09544,
        2.1276,
        2.11329,
        2.1065,
        2.12439,
        2.06499,
        2.06473,
        2.06201,
        2.08232,
        2.12158,
        2.09085,
        2.1123,
        2.09642,
        2.13721,
        2.12252,
        2.10257,
        2.10498,
        2.08953,
        2.08446,
        2.06122,
        2.10017,
        2.11057,
        2.10539,
        2.0897,
        2.06668,
        2.07382,
        2.04977,
        2.06226,
        2.09547,
        2.11836,
        2.13481,
        2.12682,
        2.1332,
        2.06967,
        2.04316,
        2.04919,
        2.08465,
        2.04329,
        2.02994,
        2.01105,
        2.04958,
        2.09117,
        2.06529,
        2.10883,
        2.08776,
        2.0625,
        2.0427,
        2.03238,
        2.08631,
        2.08006,
        2.09123,
        2.10471,
        2.10083,
        2.07378,
        2.07122,
        2.08684,
        2.10686,
        2.03772,
        2.08611,
        2.0886,
        2.09275,
        2.13217,
        2.10556,
        2.0233,
        2.01879,
        2.06472,
        2.03326,
        2.01299,
        2.03438,
        2.05963,
        2.08012,
        2.06267,
        2.04234,
        2.05769,
        2.04515,
        2.04357,
        2.12913,
        2.1662,
        2.16341,
        2.11762,
        2.14293,
        2.10559,
        2.06355,
        2.03101,
        2.10961,
        2.11895,
        2.13755,
        2.13122,
        2.14877,
        2.09289,
        2.18179,
        1.99961,
        2.00478,
        2.25711,
        2.06739,
        1.72568,
        1.99739,
        2.16631,
        2.12713,
        2.08757,
        2.14413,
        2.13793,
        2.11971,
        2.08523,
        2.04224,
        2.01826,
        2.00825,
        2.03711,
        2.08503,
        2.07443,
        2.04068,
        2.06226,
        2.07256,
        2.06164,
        2.00047,
        2.01505,
        2.0606,
        2.03,
        1.97338,
        1.99097,
        2.03004,
        2.02132,
        2.05258,
        2.09509,
        2.13185,
        2.10392,
        2.08467,
        2.05858,
        2.10948,
        2.10662,
        2.10519,
        2.07709,
        2.10139,
        2.1013,
        2.08309,
        2.05759,
        2.08619,
        2.09205,
        2.13525,
        2.12443,
        2.0851,
        2.1082,
        2.0951,
        2.08074,
        2.07445,
        2.1155,
        2.12428,
        2.08703,
        2.07933,
        2.09049,
        2.11356,
        2.11506,
        2.13908,
        2.11349,
        2.08921,
        2.13562,
        2.128,
        2.10106,
        2.09857,
        2.04447,
        2.1352,
        2.10867,
        2.08099,
        2.09732,
        2.13917,
        2.12977,
        2.10932,
        2.08682,
        2.09098,
        2.15225,
        2.11761,
        2.1009,
        2.08784,
        2.08856,
        2.09361,
        2.12951,
        2.14113,
        2.1097,
        2.09177,
        2.14735,
        2.13796,
        2.09038,
        2.02727,
        2.11646,
        2.13595,
        2.09161,
        2.05208,
        2.10362,
        2.05122,
        2.00043,
        2.08166,
        2.09346,
        2.01449,
        2.08956,
        2.05214,
        2.02927,
        2.08541,
        2.12563,
        2.11012,
        2.10114,
        2.11938,
        2.05304,
        2.12157,
        2.10193,
        2.12986,
        2.10416,
        2.11103,
        2.0938,
        2.1879,
        2.15121,
        2.12756,
        2.0919,
        2.07704,
        2.05171,
        2.02871,
        2.0854,
        2.13673,
        2.13765,
        2.1042,
        2.1321,
        2.11713,
        2.14857,
        2.12876,
        2.1881,
        2.18014,
        2.13223,
        2.09911,
        2.08434,
        2.08188,
        2.14096,
        2.19709,
        2.17789,
        2.16374,
        2.11527,
        2.16529,
        2.15282,
        2.18207,
        2.19091,
        2.13416,
        2.18219,
        2.23315,
        2.2406,
        2.22012,
        2.18759,
        2.22581,
        2.22971,
        2.27257,
        2.2447,
        2.32331,
        2.37616,
        2.29019,
        2.34075,
        2.31271,
        2.30195,
        2.281,
        2.25808,
        2.31497,
        2.29764,
        2.19266,
        2.03035,
        1.8904,
        1.86585,
        1.88298,
        2.06259,
        2.26629,
        2.32166,
        2.37394,
        2.29648,
        2.28944,
        2.24966,
        2.18722,
        2.28793,
        2.33649,
        2.21913,
        2.11598,
        2.41057,
        2.39305,
        2.29983,
        2.32753,
        2.50033,
        2.25365,
        2.11725,
        2.20368,
        2.2208,
        2.25522,
        2.2417,
        2.30055,
        2.25575,
        2.21948,
        2.25907,
        2.18401,
        2.17717,
        2.20141,
        2.17379,
        2.25435,
        2.25071,
        2.26324,
        2.24939,
        2.26192,
        2.2744,
        2.17481,
        2.15115,
        2.18178,
        2.1716,
        2.16607,
        2.17605,
        2.16384,
        2.21908,
        2.21382,
        2.18363,
        2.1314,
        2.16123,
        2.1308,
        2.16461,
        2.15745,
        2.1537,
        2.13789,
        2.15493,
        2.19196,
        2.19845,
        2.21396,
        2.13409,
        2.1465,
        2.17369,
        2.18845,
        2.18399,
        2.13739,
        2.20593,
        2.18005,
        2.2161,
        2.24711,
        2.24833,
        2.18252,
        2.19612,
        2.19334,
        2.18429,
        2.20881,
        2.23802,
        2.20611,
        2.219,
        2.25855,
        2.22215,
        2.16658,
        2.2721,
        2.25518,
        2.25365,
        2.25241,
        2.25472,
        2.24182,
        2.25735,
        2.28562,
        2.31567,
        2.24545,
        2.25774,
        2.31176,
        2.28577,
        2.25726,
        2.29744,
        2.34819,
        2.30975,
        2.274,
        2.26608,
        2.27903,
        2.33032,
        2.33998,
        2.31912,
        2.34154,
        2.30743,
        2.33046,
        2.38329,
        2.39697,
        2.38388,
        2.40128,
        2.3927,
        2.38257,
        2.39413,
        2.38178,
        2.35148,
        2.33758,
        2.42227,
        2.40794,
        2.36822,
        2.42454,
        2.41726,
        2.44539,
        2.49212,
        2.41919,
        2.4418,
        2.45929,
        2.44053,
        2.41694,
        2.38672,
        2.42756,
        2.45762,
        2.41567,
        2.46587,
        2.43095,
        2.44331,
        2.39753,
        2.41276,
        2.44949,
        2.41111,
        2.46817,
        2.44522,
        2.45294,
        2.3731,
        2.39059,
        2.42022,
        2.41093,
        2.40413,
        2.42636,
        2.47052,
        2.44144,
        2.50794,
        2.46135,
        2.48633,
        2.53296,
        2.48647,
        2.51283,
        2.55028,
        2.50323,
        2.52857,
        2.51933,
        2.50686,
        2.54607,
        2.56023,
        2.55436,
        2.5508,
        2.58617,
        2.55544,
        2.53807,
        2.52584,
        2.55618,
        2.54219,
        2.56149,
        2.54694,
        2.62758,
        2.65749,
        2.63335,
        2.62123,
        2.65622,
        2.61451,
        2.59061,
        2.57382,
        2.60988,
        2.61395,
        2.64475,
        2.63017,
        2.61694,
        2.60407,
        2.65217,
        2.63142,
        2.62554,
        2.61117,
        2.61767,
        2.64201,
        2.65991,
        2.69855,
        2.69269,
        2.65178,
        2.67534,
        2.69358,
        2.69477,
        2.73138,
        2.72163,
        2.70617,
        2.81809,
        2.75308,
        2.80982,
        2.76771,
        2.8258,
        2.87076,
        2.82387,
        2.82735,
        2.80138,
        2.81421,
        2.80114,
        2.8106,
        2.76727,
        2.80498,
        2.87144,
        2.82265,
        2.79929,
        2.78207,
        2.80554,
        2.76761,
        2.78959,
        2.78623,
        2.77947,
        2.7538,
        2.72021,
        2.74192,
        2.73158,
        2.75982,
        2.74278,
        2.71425,
        2.71223,
        2.65461,
        2.66465,
        2.7482,
        2.68367,
        2.70845,
        2.70439,
        2.67838,
        2.67223,
        2.69621,
        2.72692,
        2.68613,
        2.68746,
        2.68778,
        2.74484,
        2.68296,
        2.68024,
        2.72642,
        2.70554,
        2.77177,
        2.75938,
        2.73782,
        2.77566,
        2.78972,
        2.79015,
        2.76128,
        2.73887,
        2.70235,
        2.69813,
        2.75767,
        2.76084,
        2.7638,
        2.75097,
        2.72011,
        2.7387,
        2.68493,
        2.6659,
        2.63064,
        2.65665,
        2.71693,
        2.68692,
        2.66041,
        2.70235,
        2.69866,
        2.66904,
        2.65286,
        2.56389,
        2.56291,
        2.61641,
        2.65655,
        2.62231,
        2.64296,
        2.62246,
        2.59985,
        2.60285,
        2.53959,
        2.51523,
        2.57367,
        2.5459,
        2.50576,
        2.46199,
        2.51779,
        2.50413,
        2.47492,
        2.46096,
        2.43927,
        2.43636,
        2.42123,
        2.41175,
        2.45962,
        2.40408,
        2.385,
        2.41939,
        2.37805,
        2.38483,
        2.37151,
        2.40051,
        2.3922,
        2.3248,
        2.35775,
        2.33886,
        2.29567,
        2.28592,
        2.28664,
        2.30886,
        2.32546,
        2.28533,
        2.29648,
        2.3239,
        2.24921,
        2.27019,
        2.30994,
        2.31021,
        2.25901,
        2.3048,
        2.31337,
        2.28861,
        2.28343,
        2.26734,
        2.23375,
        2.22081,
        2.29756,
        2.27748,
        2.31468,
        2.26226,
        2.21091,
        2.29666,
        2.31615,
        2.26797,
        2.28619,
        2.25728,
        2.31774,
        2.27335,
        2.27307,
        2.23187,
        2.26715,
        2.22594,
        2.22796,
        2.24696,
        2.27763,
        2.30692,
        2.30192,
        2.28809,
        2.24004,
        2.29236,
        2.30771,
        2.27571,
        2.30602,
        2.28735,
        2.25282,
        2.25835,
        2.26817,
        2.27984,
        2.29919,
        2.25048,
        2.23383,
        2.25494,
        2.23718,
        2.21208,
        2.23687,
        2.21855,
        2.16851,
        2.16881,
        2.18288,
        2.1664,
        2.18913,
        2.25879,
        2.20574,
        2.22891,
        2.28938,
        2.26608,
        2.22761,
        2.14217,
        2.14966,
        2.17842,
        2.31231,
        2.29479,
        2.33082,
        2.33063,
        2.27657,
        2.30577,
        2.10433,
        2.10584,
        2.2545,
        2.22393,
        2.15471,
        2.22136,
        2.2915,
        2.24833,
        2.32257,
        2.2654,
        2.25672,
        2.30725,
        2.27678,
        2.28247,
        2.31176,
        2.30663,
        2.19538,
        2.03621,
        1.98134,
        1.86041,
        1.89925,
        2.04975,
        2.18408,
        2.19242,
        2.28698,
        2.2245,
        2.24134,
        2.28031,
        2.19572,
        2.18217,
        2.28459,
        2.23383,
        2.33118,
        2.11614,
        2.01352,
        2.23649,
        2.25045,
        2.15753,
        2.48941,
        2.40087,
        2.42661,
        2.37323,
        2.27042,
        2.19662,
        2.22933,
        2.24955,
        2.20386,
        2.21776,
        2.17842,
        2.14804,
        2.21354,
        2.13323,
        2.12328,
        2.16151,
        2.22626,
        2.17793,
        2.14148,
        2.18369,
        2.14975,
        2.1568,
        2.14863,
        2.16848,
        2.06811,
        2.06978,
        2.12448,
        2.11753,
        2.08251,
        2.09959,
        2.12635,
        2.14004,
        2.08953,
        2.07577,
        2.08877,
        2.08496,
        2.1253,
        2.15103,
        2.1625,
        2.13867,
        2.09056,
        2.15751,
        2.11472,
        2.16884,
        2.16144,
        2.18013,
        2.16595,
        2.15762,
        2.15491,
        2.16651,
        2.16948,
        2.12148,
        2.18085,
        2.13892,
        2.18326,
        2.15896,
        2.1725,
        2.10478,
        2.17011,
        2.16677,
        2.13076,
        2.11424,
        2.10507,
        2.14118,
        2.09778,
        2.09855,
        2.12303,
        2.06779,
        2.0945,
        2.12283,
        2.13148,
        2.14836,
        2.12404,
        2.11966,
        2.11881,
        2.16368,
        2.14437,
        2.12526,
        2.10319,
        2.1342,
        2.10504,
        2.12957,
        2.12475,
        2.09976,
        2.14266,
        2.12317,
        2.10779,
        2.13406,
        2.1188,
        2.12718,
        2.13379,
        2.09883,
        2.13172,
        2.16574,
        2.09039,
        2.12595,
        2.15207,
        2.11218,
        2.10244,
        2.11811,
        2.1033,
        2.13447,
        2.07027,
        2.09539,
        2.08372,
        2.06577,
        2.08458,
        2.06679,
        2.09204,
        2.07754,
        2.07428,
        2.09502,
        2.13253,
        2.07012,
        2.09996,
        2.14218,
        2.12282,
        2.07429,
        2.06305,
        2.06336,
        2.09073,
        2.06909,
        2.07029,
        2.08013,
        2.04606,
        2.09565,
        2.07991,
        2.08406,
        2.08453,
        2.09057,
        2.08249,
        2.06369,
        2.04881,
        2.04459,
        2.06531,
        2.0554,
        2.11129,
        2.11809,
        2.0911,
        2.07914,
        2.07371,
        2.09008,
        2.08464,
        2.10242,
        2.12867,
        2.10022,
        2.06147,
        2.05538,
        2.06357,
        2.13771,
        2.11469,
        2.12925,
        2.14209,
        2.04826,
        2.11065,
        2.14756,
        2.08574,
        1.98487,
        2.06748,
        2.16224,
        2.06545,
        2.03054,
        2.01629,
        2.08094,
        2.07329,
        2.06727,
        2.03006,
        2.0002,
        2.03222,
        2.02305,
        2.021,
        2.11236,
        2.04116,
        2.03133,
        2.13506,
        2.2021,
        2.04283,
        2.0823,
        2.09025,
        1.97876,
        2.22725,
        2.25158,
        2.097,
        2.07536,
        2.03255,
        1.8816,
        1.99145,
        2.01459,
        2.0366,
        2.05885,
        2.05132,
        2.07452,
        1.98346,
        2.07069,
        2.03733,
        2.07662,
        2.05754,
        2.08814,
        2.03866,
        2.0714,
        2.07995,
        2.10319,
        2.08428,
        2.06705,
        2.08683,
        2.11327,
        2.096,
        2.02421,
        2.07269,
        2.08344,
        2.11862,
        2.11636,
        2.07555,
        2.09307,
        2.13394,
        2.08828,
        2.15338,
        2.14585,
        2.06138,
        2.00881,
        2.06896,
        2.0924,
        2.1109,
        2.08391,
        2.112,
        2.09415,
        2.10773,
        2.13184,
        2.0456,
        2.059,
        2.02893,
        2.03767,
        2.08919,
        2.08343,
        2.05931,
        2.03371,
        2.09755,
        2.06272,
        2.09808,
        2.09389,
        2.08327,
        2.07097,
        2.07865,
        2.06008,
        2.09355,
        2.10795,
        2.13486,
        2.11835,
        2.10291,
        2.09687,
        2.08356,
        2.06221,
        2.05251,
        2.10448,
        2.10402,
        2.05907,
        2.11141,
        2.10426,
        2.12199,
        2.07741,
        2.01729,
        2.06182,
        2.0981,
        2.11637,
        2.05869,
        2.03818,
        2.06979,
        2.06832,
        1.99912,
        2.03686,
        2.08353,
        2.06839,
        2.04529,
        2.05612,
        2.05863,
        2.07091,
        2.06033,
        2.08708,
        2.09381,
        2.1039,
        2.08264,
        2.07378,
        2.05528,
        2.11004,
        2.06197,
        2.06313,
        2.03875,
        2.02045,
        2.02831,
        2.07226,
        2.04523,
        2.03241,
        2.02823,
        2.00493,
        2.00092,
        1.98185,
        2.04596,
        2.04617,
        2.01818,
        2.05555,
        2.06495,
        2.05288,
        2.01548,
        2.11324,
        2.0789,
        2.08556,
        2.04937,
        2.06485,
        2.00789,
        2.0592,
        2.09521,
        2.12877,
        2.07071,
        2.08218,
        2.07105,
        2.04942,
        2.07634,
        2.02852,
        2.04532,
        2.05288,
        2.07278,
        2.07396,
        2.11117,
        2.05609,
        2.07385,
        2.10664,
        2.06503,
        2.03342,
        2.0356,
        1.985,
        2.05474,
        2.05046,
        2.06743,
        2.01978,
        2.03533,
        2.04946,
        2.03888,
        2.05708,
        2.0267,
        2.02158,
        2.01564,
        2.06174,
        2.07113,
        2.03897,
        2.06355,
        2.06136,
        2.03613,
        2.02066,
        2.01769,
        2.01942,
        2.02693,
        2.07156,
        2.03794,
        2.0628,
        2.04197,
        2.0779,
        2.08027,
        2.04854,
        2.05609,
        2.04002,
        2.01032,
        2.03736,
        2.05118,
        2.03094,
        2.02851,
        2.00371,
        2.01269,
        2.05072,
        2.02275,
        2.05452,
        2.02784,
        2.0249,
        2.06549,
        2.05939,
        2.03015,
        2.0372,
        1.994,
        2.08114,
        2.12247,
        2.09126,
        2.05177,
        2.03908,
        2.02378,
        2.10529,
        2.07577,
        2.06024,
        2.13049,
        2.07731,
        2.03205,
        2.0105,
        2.07664,
        2.01946,
        2.04879,
        2.05631,
        2.0053,
        2.01077,
        2.06482,
        2.0375,
        2.0573,
        2.06633,
        2.05676,
        2.07559,
        2.02464,
        2.00534,
        2.06284,
        2.04904,
        2.09092,
        2.0802,
        2.05069,
        2.0644,
        2.04055,
        2.09104,
        2.08711,
        2.05772,
        2.05615,
        2.10643,
        2.14599,
        2.01963,
        2.06222,
        2.08204,
        2.05799,
        2.0493,
        2.05138,
        2.01692,
        2.08574,
        2.12431,
        2.13712,
        2.08642,
        2.05796,
        2.11951,
        2.10989,
        2.12553,
        2.06996,
        2.07615,
        2.0723,
        2.03867,
        2.08599,
        2.13041,
        2.06333,
        2.07937,
        2.04199,
        1.9984,
        2.00194,
        2.03952,
        2.05248,
        2.05955,
        2.04218,
        2.05912,
        2.02007,
        1.98902,
        2.02666,
        2.07866,
        2.12892,
        2.06905,
        2.0311,
        2.04333,
        2.08018,
        2.07304,
        2.0584,
        2.07568,
        2.06031,
        2.08601,
        2.0922,
        2.09385,
        2.0678,
        2.13334,
        2.14086,
        2.08647,
        2.08056,
        2.0872,
        2.07989,
        2.06319,
        2.09595,
        2.02423,
        2.08718,
        2.10804,
        2.12306,
        2.07631,
        2.1198,
        2.09633,
        2.04044,
        2.07365,
        2.08414,
        2.09973,
        2.08829,
        2.10171,
        2.07704,
        2.06426,
        2.05035,
        2.09244,
        2.10513,
        2.08479,
        2.07337,
        2.12668,
        2.12592,
        2.11835,
        2.1116,
        2.07398,
        2.07478,
        2.09829,
        2.12702,
        2.11699,
        2.11941,
        2.08355,
        2.09031,
        1.99769,
        2.07683,
        2.06594,
        2.11474,
        2.16516,
        2.20579,
        2.11041,
        2.0634,
        2.10796,
        2.066,
        2.09994,
        2.16248,
        2.11756,
        2.0525,
        2.02709,
        2.05235,
        2.13225,
        2.14732,
        2.11686,
        2.17755,
        2.10812,
        2.03476,
        2.10787,
        2.12566,
        2.11942,
        2.09046,
        2.15207,
        2.08134,
        2.14395,
        2.18454,
        2.15044,
        2.12565,
        2.16586,
        2.11707,
        2.13958,
        2.08937,
        2.09412,
        2.09468,
        2.11694,
        2.09316,
        2.13222,
        2.1743,
        2.09453,
        2.14918,
        2.21111,
        2.16725,
        2.14589,
        2.13044,
        2.15378,
        2.13604,
        2.08222,
        2.14229,
        2.08885,
        2.10813,
        2.1245,
        2.09794,
        2.02027,
        2.04286,
        2.11143,
        2.05744,
        2.12378,
        2.11087,
        2.08465,
        2.03804,
        2.06511,
        2.05223,
        2.06174,
        2.05444,
        2.13826,
        2.12509,
        2.09557,
        2.15837,
        2.12958,
        2.08081,
        2.06841,
        2.04849,
        2.03196,
        2.00965,
        2.03868,
        2.07706,
        2.12788,
        2.05605,
        2.10565,
        2.11031,
        2.06324,
        2.12515,
        2.1277,
        2.03546,
        2.07537,
        2.12683,
        2.13345,
        2.12271,
        2.15553,
        2.11681,
        2.06881,
        2.09869,
        2.13317,
        2.17089,
        2.12774,
        2.08181,
        2.09988,
        2.09358,
        2.09993,
        2.13161,
        2.13093,
        2.06401,
        2.04707,
        2.10103,
        2.127,
        2.10444,
        2.10752,
        2.20428,
        2.15823,
        2.09597,
        2.13442,
        2.06981,
        2.1216,
        2.04669,
        2.10539,
        2.12893,
        2.15842,
        2.14274,
        2.12999,
        2.10988,
        2.08426,
        2.139,
        2.11551,
        2.13103,
        2.11934,
        2.11867,
        2.12812,
        2.15647,
        2.07832,
        2.1063,
        2.12227,
        2.08099,
        2.16117,
        2.18406,
        2.18281,
        2.14591,
        2.12311,
        2.14517,
        2.12751,
        2.11932,
        2.15769,
        2.17136,
        2.11146,
        2.14717,
        2.17545,
        2.16217,
        2.10757,
        2.20685,
        2.19582,
        2.15156,
        2.15801,
        2.17873,
        2.16881,
        2.15968,
        2.15763,
        2.19516,
        2.18528,
        2.17048,
        2.1591,
        2.21873,
        2.17284,
        2.20194,
        2.14746,
        2.16535,
        2.13974,
        2.21498,
        2.21259,
        2.17215,
        2.13552,
        2.09627,
        2.14993,
        2.16468,
        2.17922,
        2.14241,
        2.15122,
        2.14147,
        2.18958,
        2.20003,
        2.20808,
        2.13511,
        2.23208,
        2.15682,
        2.19367,
        2.22306,
        2.23549,
        2.14692,
        2.22036,
        2.23592,
        2.18899,
        2.14614,
        2.15102,
        2.21549,
        2.17599,
        2.197,
        2.12114,
        2.14311,
        2.18234,
        2.19947,
        2.19211,
        2.21533,
        2.21236,
        2.13874,
        2.20084,
        2.21245,
        2.19833,
        2.19723,
        2.17726,
        2.21853,
        2.17708,
        2.21477,
        2.15675,
        2.2078,
        2.20831,
        2.2384,
        2.21184,
        2.2191,
        2.25095,
        2.24836,
        2.19668,
        2.22044,
        2.22617,
        2.31942,
        2.28652,
        2.23452,
        2.27155,
        2.23433,
        2.27147,
        2.28951,
        2.1932,
        2.21353,
        2.19726,
        2.23393,
        2.19236,
        2.19983,
        2.21653,
        2.24759,
        2.25906,
        2.24673,
        2.26111,
        2.20392,
        2.2163,
        2.2031,
        2.18325,
        2.25949,
        2.23707,
        2.29145,
        2.28426,
        2.24175,
        2.23737,
        2.24778,
        2.20907,
        2.28705,
        2.26719,
        2.20703,
        2.20655,
        2.2612,
        2.19989,
        2.2579,
        2.25833,
        2.2757,
        2.22503,
        2.26997,
        2.26803,
        2.26161,
        2.22361,
        2.2647,
        2.26181,
        2.25899,
        2.35935,
        2.32322,
        2.3357,
        2.31767,
        2.27411,
        2.24447,
        2.23668,
        2.23112,
        2.28214,
        2.22235,
        2.23993,
        2.21023,
        2.24343,
        2.25544,
        2.23982,
        2.18589,
        2.22361,
        2.27228,
        2.22157,
        2.19738,
        2.19103,
        2.24088,
        2.24609,
        2.16374,
        2.15432,
        2.17428,
        2.24427,
        2.25971,
        2.21385,
        2.17735,
        2.22033,
        2.23342,
        2.26587,
        2.32518,
        2.28382,
        2.22416,
        2.23713,
        2.21573,
        2.2919,
        2.27161,
        2.20203,
        2.32135,
        2.28325,
        2.21507,
        2.17956,
        2.21446,
        2.27123,
        2.29257,
        2.33179,
        2.32021,
        2.32664,
        2.31487,
        2.26546,
        2.29882,
        2.29607,
        2.22742,
        2.23767,
        2.31098,
        2.35662,
        2.30785,
        2.27689,
        2.28468,
        2.33864,
        2.2636,
        2.39288,
        2.39213,
        2.31234,
        2.35997,
        2.33591,
        2.39078,
        2.27399,
        2.31547,
        2.37353,
        2.15288,
        2.31464,
        2.31836,
        2.46137,
        2.23115,
        2.1992,
        2.27957,
        2.31911,
        2.32958,
        2.28338,
        2.34704,
        2.45056,
        2.35569,
        2.39485,
        2.35577,
        2.25617,
        2.35059,
        2.37543,
        2.34027,
        2.35877,
        2.36625,
        2.20835,
        2.39223,
        2.38329,
        2.32097,
        2.29798,
        2.27928,
        2.24427,
        2.30006,
        2.22744,
        2.06016,
        2.13666,
        2.09969,
        2.2634,
        2.24138,
        2.47127,
        2.38361,
        2.16648,
        2.3817,
        2.37027,
        2.53341,
        2.47854,
        2.36205,
        1.96256,
        2.02418,
        2.71056,
        2.60943,
        2.07091,
        2.00209,
        2.14107,
        2.74601,
        1.91509,
        2.96195,
        2.28128,
        2.24042,
        2.07781,
        2.15033,
        2.30994,
        2.32181,
        2.24207,
        2.22589,
        2.39555,
        2.18976,
        2.23389,
        2.25834,
        2.17941,
        2.25586,
        2.18322,
        2.15199,
        2.20376,
        2.18803,
        2.19646,
        2.18056,
        2.221,
        2.22923,
        2.26178,
        2.24901,
        2.28992,
        2.11336,
        2.15563,
        2.15419,
        2.10519,
        2.19604,
        2.16077,
        2.10448,
        2.12955,
        2.0702,
        2.25014,
        2.13617,
        2.11003,
        2.10875,
        2.09675,
        2.09368,
        2.11106,
        2.12769,
        2.11571,
        2.16704,
        2.16065,
        2.1877,
        2.13366,
        2.10181,
        2.16604,
        2.17051,
        2.10927,
        2.17323,
        2.18546,
        2.09661,
        2.1643,
        2.19623,
        2.17762,
        2.16976,
        2.19813,
        2.17278,
        2.07369,
        2.12211,
        2.21741,
        2.16441,
        2.17603,
        2.09594,
        2.13878,
        2.14302,
        2.16793,
        2.12559,
        2.12823,
        2.11245,
        2.14959,
        2.18959,
        2.09495,
        2.1502,
        2.27137,
        2.14666,
        2.10678,
        2.10123,
        2.13853,
        2.10571,
        2.21883,
        2.19755,
        2.05681,
        2.14879,
        2.18776,
        2.12841,
        2.14279,
        2.21665,
        2.10016,
        2.18587,
        2.12293,
        2.08961,
        2.16274,
        2.18271,
        2.10771,
        2.11836,
        2.11106,
        2.1584,
        2.0614,
        2.13577,
        2.11444,
        2.16697,
        2.02725,
        2.04371,
        2.06706,
        2.01104,
        2.11259,
        2.08116,
        2.02344,
        2.02345,
        2.10562,
        1.97812,
        1.99546,
        2.09869,
        2.13689,
        2.12692,
        2.09148,
        2.09978,
        2.04427,
        2.07877,
        2.08932,
        2.08026,
        2.11954,
        2.18019,
        2.17508,
        2.15342,
        2.04416,
        2.00984,
        2.04958,
        2.03167,
        1.99873,
        1.89492,
        2.03568,
        2.04184,
        2.37888,
        2.23157,
        2.06371,
        2.05395,
        2.0749,
        2.14431,
        2.07647,
        1.97886,
        2.11835,
        2.06921,
        2.01399,
        2.09698,
        2.06544,
        2.15793,
        2.07143,
        2.03277,
        2.07758,
        null,
        2.09581,
        2.11254,
        2.07441,
        2.04576,
        2.09197,
        2.13072,
        2.13172,
        2.13288,
        2.12878,
        2.10655,
        2.10385,
        2.12507,
        2.10822,
        2.07548,
        2.06022,
        2.03689,
        2.12609,
        2.08683,
        2.08626,
        2.11467,
        2.09372,
        2.06701,
        2.05126,
        1.99442,
        2.06549,
        2.16994,
        2.08364,
        1.96841,
        2.03306,
        2.18008,
        2.26081,
        2.46402,
        2.4838,
        2.24245,
        2.17835,
        2.10724,
        1.98315,
        2.04547,
        2.09785,
        2.21071,
        2.2581,
        2.1866,
        2.21143,
        2.19194,
        2.21531,
        2.17899,
        2.14463,
        2.19088,
        2.21694,
        2.24998,
        2.20738,
        2.16797,
        2.26824,
        2.24936,
        2.292,
        2.33325,
        2.28395,
        2.27257,
        2.26842,
        2.28643,
        2.27287,
        2.26974,
        2.29953,
        2.29855,
        2.30847,
        2.33327,
        2.30523,
        2.3178,
        2.30727,
        2.37885,
        2.32677,
        2.26657,
        2.2979,
        2.23666,
        2.17075,
        2.16115,
        2.20524,
        2.21304,
        2.21588,
        2.28255,
        2.32669,
        2.2969,
        2.2008,
        2.16339,
        2.23701,
        2.01207,
        1.98305,
        2.29527,
        2.70617,
        2.04008,
        1.96228,
        1.88479,
        2.15917,
        2.18665,
        2.05869,
        2.07867,
        2.10328,
        2.12411,
        2.14288,
        2.12031,
        2.10618,
        2.11282,
        2.0862,
        2.16245,
        2.19044,
        2.14766,
        2.12107,
        2.1488,
        2.19582,
        2.09575,
        2.09644,
        2.10916,
        2.13157,
        2.15906,
        2.0953,
        2.06475,
        2.12125,
        2.13071,
        2.12897,
        2.05647,
        2.10907,
        2.17457,
        2.1563,
        2.10698,
        2.14483,
        2.1411,
        2.12448,
        2.12855,
        2.11781,
        2.11324,
        2.13854,
        2.13384,
        2.14697,
        2.15453,
        2.12456,
        2.15017,
        2.15779,
        2.09357,
        2.101,
        2.11692,
        2.14898,
        2.11928,
        2.08949,
        2.09323,
        2.09387,
        2.12768,
        2.10263,
        2.1036,
        2.07602,
        2.09334,
        2.10831,
        2.10813,
        2.0876,
        2.09966,
        2.12476,
        2.10532,
        2.11743,
        2.10848,
        2.05967,
        2.06937,
        2.06602,
        2.06324,
        2.09301,
        2.08457,
        2.11739,
        2.11952,
        2.09843,
        2.05535,
        2.09161,
        2.15569,
        2.1084,
        2.10421,
        2.0671,
        2.02069,
        2.02592,
        2.08592,
        2.04844,
        2.05655,
        2.06686,
        2.09672,
        2.05242,
        2.06055,
        2.06153,
        2.04699,
        2.09592,
        2.05712,
        2.0555,
        2.08636,
        2.09235,
        2.05025,
        2.04746,
        2.0904,
        2.12994,
        2.12373,
        2.13232,
        2.11211,
        2.08191,
        2.09803,
        2.07411,
        2.10309,
        2.05547,
        2.08836,
        2.06857,
        2.07713,
        2.09775,
        2.08636,
        2.00907,
        2.02797,
        2.03568,
        2.05647,
        2.06233,
        2.08648,
        2.10431,
        2.10138,
        2.09931,
        2.0906,
        2.05398,
        2.02065,
        2.08078,
        2.1039,
        2.15242,
        2.1014,
        2.0646,
        2.02285,
        2.09064,
        2.0717,
        2.09524,
        2.11131,
        2.07447,
        2.06241,
        2.07603,
        2.06943,
        2.08755,
        2.08146,
        2.09821,
        2.10542,
        2.10625,
        2.05923,
        2.03277,
        2.07117,
        2.11785,
        2.0745,
        2.05224,
        2.0349,
        2.06494,
        2.12588,
        2.13509,
        2.15704,
        2.0785,
        2.10365,
        2.09539,
        2.10835,
        2.15509,
        2.11888,
        2.07094,
        2.06861,
        2.04407,
        2.04627,
        2.10252,
        2.13029,
        2.13487,
        2.06234,
        2.023,
        2.03676,
        2.08423,
        2.10984,
        2.1081,
        2.07713,
        2.07395,
        2.07195,
        2.07036,
        2.10423,
        2.05853,
        2.06182,
        2.0394,
        2.0837,
        2.07138,
        2.09999,
        2.07328,
        2.0654,
        2.02584,
        2.04612,
        2.02525,
        1.99891,
        2.02196,
        2.09943,
        2.05224,
        2.03664,
        2.05492,
        2.07898,
        2.03613,
        2.01019,
        2.03713,
        2.0756,
        2.07256,
        2.0565,
        2.04667,
        2.04064,
        2.07569,
        2.12443,
        2.13925,
        2.10497,
        2.09107,
        2.09965,
        2.0924,
        2.05663,
        2.08851,
        2.08655,
        2.11307,
        2.12966,
        2.11535,
        2.07962,
        2.06974,
        2.1038,
        2.07284,
        2.10653,
        2.11654,
        2.07076,
        2.07361,
        2.05201,
        2.08029,
        2.11689,
        2.13238,
        2.08187,
        2.10496,
        2.12521,
        2.08695,
        2.09807,
        2.14517,
        2.10184,
        2.08963,
        2.08424,
        2.10291,
        2.13094,
        2.1372,
        2.0743,
        2.12925,
        2.1056,
        2.05854,
        2.10238,
        2.10841,
        2.07589,
        2.09727,
        2.08546,
        2.08241,
        2.08626,
        2.03812,
        2.0397,
        2.0491,
        2.02871,
        1.96855,
        1.9822,
        2.05906,
        2.06365,
        2.02542,
        2.00508,
        1.99772,
        1.97344,
        1.99782,
        2.02353,
        2.02842,
        2.02998,
        2.02413,
        2.01382,
        2.04533,
        2.05569,
        2.0596,
        2.04274,
        2.043,
        2.06265,
        2.08159,
        2.0566,
        2.03895,
        2.02762,
        2.04274,
        2.10212,
        2.10342,
        2.10349,
        2.07204,
        2.10205,
        2.09117,
        2.07726,
        2.08076,
        2.08302,
        2.05733,
        2.13029,
        2.11929,
        2.10262,
        2.1288,
        2.06053,
        2.09076,
        2.14746,
        2.10058,
        2.1151,
        2.10261,
        2.06538,
        2.09378,
        2.08142,
        2.07088,
        2.02427,
        2.08486,
        2.09758,
        2.07776,
        2.02475,
        2.06744,
        2.09287,
        2.09013,
        2.09781,
        2.0926,
        2.09501,
        2.08215,
        2.09759,
        2.08455,
        2.10221,
        2.11189,
        2.04485,
        2.05898,
        2.09882,
        2.04592,
        1.98255,
        2.04615,
        2.0526,
        2.05531,
        2.03104,
        2.0414,
        2.10495,
        2.12845,
        2.10231,
        2.04328,
        2.07483,
        2.08159,
        2.13035,
        2.13294,
        2.1021,
        2.1154,
        2.0873,
        2.12504,
        2.13866,
        2.21398,
        2.19309,
        2.16175,
        2.17925,
        2.14992,
        2.16357,
        2.13522,
        2.11636,
        2.11879,
        2.15851,
        2.13058,
        2.16481,
        2.10178,
        2.09077,
        2.10719,
        2.07254,
        2.08015,
        2.10884,
        2.17053,
        2.10289,
        2.10648,
        2.13031,
        2.16593,
        2.16,
        2.14506,
        2.15915,
        2.19215,
        2.09117,
        2.12638,
        2.12908,
        2.15087,
        2.17039,
        2.16598,
        2.21437,
        2.22626,
        2.22138,
        2.18466,
        2.24259,
        2.26057,
        2.22285,
        2.23062,
        2.30081,
        2.35162,
        2.29593,
        2.27177,
        2.29872,
        2.31024,
        2.29229,
        2.31225,
        2.29329,
        2.32202,
        2.27371,
        2.26534,
        2.28855,
        2.28134,
        2.31566,
        2.34145,
        2.33995,
        2.32693,
        2.18565,
        2.26258,
        2.27915,
        2.29102,
        2.36801,
        2.30949,
        2.30993,
        2.12702,
        2.2876,
        2.28719,
        2.31473,
        2.55348,
        2.49705,
        2.33335,
        2.03644,
        1.97307,
        2.08631,
        2.22483,
        2.11944,
        2.08692,
        2.15005,
        2.16154,
        2.11316,
        2.13657,
        2.04542,
        2.03888,
        2.00874,
        2.07163,
        2.04429,
        2.04505,
        2.11356,
        2.06639,
        2.06697,
        2.0898,
        2.06509,
        2.09514,
        2.11288,
        2.14911,
        2.10378,
        2.0695,
        2.14269,
        2.13946,
        2.06983,
        2.10199,
        2.15496,
        2.1977,
        2.07041,
        2.07612,
        2.15448,
        2.08414,
        2.07786,
        2.06937,
        2.1165,
        2.12156,
        2.11189,
        2.08111,
        2.10935,
        2.09464,
        2.10232,
        2.05767,
        2.09757,
        2.16165,
        2.10839,
        2.12138,
        2.13941,
        2.11572,
        2.08952,
        2.07832,
        2.1288,
        2.11846,
        2.09796,
        2.13481,
        2.08883,
        2.06124,
        2.10791,
        2.13584,
        2.13394,
        2.06377,
        2.01141,
        2.04476,
        2.14241,
        2.05946,
        1.9904,
        1.98679,
        1.97503,
        1.98332,
        2.05465,
        2.05618,
        2.12359,
        2.13448,
        2.07804,
        2.07548,
        2.05862,
        2.05648,
        2.03094,
        2.09556,
        2.11192,
        2.10615,
        2.10798,
        2.12111,
        2.04773,
        2.02301,
        2.03757,
        2.03731,
        2.04172,
        2.04508,
        2.05626,
        2.06365,
        2.06638,
        2.05995,
        2.04457,
        2.07409,
        2.10588,
        2.15451,
        2.12699,
        2.08984,
        2.07699,
        2.06363,
        2.1,
        2.0693,
        2.11445,
        2.10722,
        2.08043,
        2.07658,
        2.09959,
        2.10831,
        2.12177,
        2.13623,
        2.15858,
        2.13793,
        2.12391,
        2.0245,
        2.09904,
        2.08841,
        2.12812,
        2.08148,
        2.12071,
        2.10071,
        2.16456,
        2.12117,
        2.09821,
        2.15817,
        2.18383,
        2.11818,
        2.13628,
        2.12595,
        2.16861,
        2.16002,
        2.1667,
        2.1644,
        2.14878,
        2.14591,
        2.18094,
        2.17838,
        2.12134,
        2.1449,
        2.16177,
        2.16455,
        2.11563,
        2.09933,
        2.13995,
        2.14342,
        2.09854,
        2.05391,
        2.10753,
        2.04308,
        2.04565,
        2.08126,
        2.13132,
        2.11723,
        2.0918,
        2.0259,
        2.11175,
        2.09895,
        2.06266,
        2.07333,
        2.10566,
        2.05835,
        2.02991,
        2.1041,
        2.06993,
        2.13701,
        2.15278,
        2.12065,
        2.08244,
        2.07978,
        2.09633,
        2.08682,
        2.094,
        2.08077,
        2.10653,
        2.07876,
        2.08043,
        2.06724,
        2.0848,
        2.0978,
        2.09529,
        2.07768,
        2.06559,
        2.1085,
        2.03635,
        2.00115,
        2.02709,
        2.06249,
        2.10969,
        2.07223,
        2.07826,
        2.08113,
        1.99146,
        1.99195,
        2.05152,
        2.02034,
        1.92025,
        1.96641,
        2.03541,
        2.0486,
        1.94513,
        2.04806,
        2.05866,
        2.24231,
        1.93934,
        1.987,
        2.23188,
        1.86922,
        1.96915,
        2.20475,
        2.00351,
        1.98959,
        2.22354,
        2.22686,
        2.142,
        2.02674,
        2.15769,
        2.18254,
        2.19358,
        2.18262,
        2.00083,
        1.98175,
        2.05302,
        1.94706,
        1.9641,
        1.91001,
        2.06636,
        2.1476,
        2.06511,
        2.00651,
        2.05273,
        2.10612,
        2.04518,
        2.0918,
        2.05443,
        1.93097,
        2.08151,
        2.24669,
        2.2499,
        2.17477,
        2.17418,
        2.00345,
        2.18469,
        2.06646,
        2.02186,
        2.09015,
        2.07573,
        2.16393,
        2.12392,
        1.96338,
        2.15844,
        2.10085,
        2.12427,
        2.06669,
        2.14185,
        2.12186,
        2.11557,
        2.06671,
        2.00215,
        2.13109,
        2.11686,
        2.11594,
        1.98996,
        2.03045,
        2.0359,
        2.03674,
        2.11982,
        2.18184,
        2.08479,
        2.04153,
        2.06858,
        2.03292,
        2.06429,
        2.02621,
        2.07947,
        2.05333,
        2.00948,
        2.0287,
        1.99427,
        2.08032,
        2.01218,
        2.02689,
        2.04188,
        2.03552,
        2.11862,
        2.07342,
        2.04693,
        2.04793,
        2.01432,
        2.01698,
        2.0221,
        2.07843,
        2.08328,
        2.04348,
        2.04675,
        2.0572,
        2.05998,
        2.0051,
        2.04625,
        2.123,
        2.05717,
        2.07752,
        2.14229,
        2.10023,
        2.0942,
        2.05793,
        2.01922,
        2.01154,
        2.0543,
        2.06237,
        2.02895,
        2.08723,
        2.09971,
        2.11756,
        2.07019,
        2.05842,
        2.08582,
        2.01409,
        2.04787,
        2.06875,
        2.05951,
        2.09363,
        2.11035,
        2.08761,
        2.02572,
        2.07772,
        2.05297,
        2.06351,
        2.11138,
        2.11622,
        2.04944,
        2.08472,
        2.07799,
        2.1038,
        2.12176,
        2.08134,
        2.03925,
        2.08787,
        2.07077,
        2.07264,
        2.08884,
        2.05572,
        2.13233,
        2.09246,
        2.08806,
        2.0796,
        2.13515,
        2.12114,
        2.09481,
        2.06082,
        2.03601,
        2.00905,
        2.05603,
        2.13966,
        2.13692,
        2.10395,
        2.12019,
        2.15294,
        2.13316,
        2.08462,
        2.11361,
        2.12992,
        2.18465,
        2.09124,
        2.11642,
        2.17715,
        2.14546,
        2.11721,
        2.09779,
        2.09188,
        2.10296,
        2.12366,
        2.12232,
        2.09135,
        2.12225,
        2.12975,
        2.08787,
        2.05905,
        2.11983,
        2.07707,
        2.13854,
        2.09925,
        2.10284,
        2.12805,
        2.14561,
        2.1654,
        2.17082,
        2.14786,
        2.15757,
        2.1304,
        2.14931,
        2.17165,
        2.12093,
        2.15274,
        2.22261,
        2.23677,
        2.12909,
        2.25693,
        2.25666,
        2.23281,
        2.24132,
        2.23473,
        2.28899,
        2.28833,
        2.32556,
        2.32203,
        2.37927,
        2.35565,
        2.28404,
        2.37496,
        2.32305,
        2.30016,
        2.38638,
        2.3157,
        2.42779,
        2.4035,
        2.36253,
        2.20216,
        2.26253,
        2.42188,
        2.36391,
        2.33052,
        2.4216,
        2.48254,
        2.39603,
        2.32361,
        2.32074,
        2.41217,
        2.16976,
        1.98667,
        2.23007,
        2.33101,
        2.77261,
        2.2297,
        2.16741,
        2.08505,
        2.13512,
        2.12359,
        2.16367,
        2.12638,
        2.11206,
        2.06511,
        2.05967,
        2.12759,
        2.14383,
        2.07829,
        2.11869,
        2.19936,
        2.1139,
        2.09792,
        2.12419,
        2.20359,
        2.27741,
        2.22477,
        2.20193,
        2.08396,
        2.03294,
        2.10853,
        2.14426,
        2.15851,
        2.10332,
        2.16001,
        2.07834,
        2.1888,
        2.13349,
        2.18453,
        2.13593,
        2.10565,
        2.09392,
        2.09159,
        2.09246,
        2.07486,
        2.0998,
        2.08025,
        2.09171,
        2.05712,
        2.06195,
        2.0739,
        2.15282,
        2.09336,
        2.09059,
        2.05194,
        2.06867,
        2.06608,
        2.11613,
        2.10867,
        2.01588,
        2.00309,
        2.07049,
        2.07224,
        2.05355,
        2.08495,
        2.01623,
        2.00378,
        2.05866,
        2.03592,
        2.08272,
        2.03209,
        2.0254,
        2.05388,
        2.05071,
        2.08139,
        2.10926,
        1.97639,
        1.97187,
        2.14295,
        2.0311,
        2.04117,
        2.19387,
        2.11567,
        2.03123,
        2.04688,
        2.09454,
        2.0062,
        2.02496,
        1.97272,
        1.94479,
        2.032,
        2.0431,
        2.00118,
        1.99612,
        1.99629,
        2.06933,
        2.02144,
        2.04453,
        2.05543,
        2.05862,
        2.01326,
        2.01624,
        2.08228,
        2.07956,
        2.01628,
        2.01235,
        2.01912,
        2.06654,
        2.05858,
        2.04111,
        2.08808,
        1.98396,
        2.0472,
        2.04023,
        2.04315,
        2.02741,
        1.91928,
        1.95388,
        2.0312,
        2.08852,
        2.05275,
        2.0454,
        2.06271,
        2.06948,
        2.08686,
        2.03043,
        2.03873,
        2.12929,
        2.03615,
        2.10253,
        2.13324,
        2.01176,
        2.02152,
        2.04376,
        2.00562,
        2.04222,
        2.0713,
        2.04227,
        2.06279,
        2.09506,
        2.06993,
        2.05974,
        2.04973,
        2.0475,
        2.0455,
        2.03089,
        1.95948,
        1.99523,
        2.06819,
        2.00908,
        2.0157,
        2.06663,
        2.02216,
        1.97801,
        1.97963,
        1.99115,
        2.02154,
        1.99988,
        2.00575,
        1.97254,
        1.95314,
        1.98856,
        1.99512,
        1.96537,
        2.08138,
        2.05652,
        1.98351,
        1.93611,
        2.07124,
        2.08402,
        2.10366,
        2.08376,
        2.08304,
        2.04079,
        2.03701,
        1.99356,
        2.01554,
        2.06567,
        2.05534,
        2.05492,
        2.06542,
        2.01739,
        2.01238,
        2.09052,
        1.95246,
        1.87618,
        1.94414,
        1.98013,
        1.98155,
        2.10397,
        1.96136,
        1.94972,
        2.01598,
        2.11378,
        2.1206,
        2.04776,
        2.12325,
        1.99565,
        2.00195,
        2.05438,
        2.06288,
        2.118,
        2.11098,
        2.03944,
        1.93413,
        2.00332,
        2.12441,
        2.0971,
        2.05474,
        2.01925,
        2.10579,
        2.11743,
        2.06843,
        2.04971,
        2.07653,
        2.00593,
        2.00345,
        2.06197,
        2.0295,
        2.11512,
        2.05514,
        2.0322,
        2.0289,
        2.07098,
        2.08325,
        2.07774,
        1.98362,
        2.07315,
        2.07903,
        2.10708,
        2.09192,
        2.02562,
        2.08352,
        2.06357,
        2.06008,
        2.11372,
        2.08025,
        2.02165,
        2.04342,
        2.08681,
        2.07038,
        2.0398,
        2.1543,
        2.07407,
        2.0127,
        2.05036,
        2.16842,
        2.07795,
        2.00431,
        2.03407,
        2.06942,
        2.06597,
        2.05625,
        2.04882,
        2.01308,
        2.05715,
        2.00401,
        2.00002,
        2.02465,
        2.04717,
        2.03592,
        2.00099,
        2.00675,
        2.08841,
        2.06901,
        2.01342,
        1.9963,
        1.96636,
        1.99541,
        2.00169,
        2.02566,
        1.99644,
        1.96263,
        2.04677,
        2.06324,
        2.03592,
        2.03501,
        2.04521,
        2.07417,
        2.04669,
        2.04998,
        2.01452,
        2.13595,
        2.09816,
        2.05758,
        2.05354,
        2.02761,
        2.03319,
        2.01312,
        2.06687,
        2.06901,
        2.10367,
        1.97879,
        2.06315,
        2.08608,
        2.04757,
        2.06768,
        2.09742,
        2.1903,
        2.18746,
        2.08949,
        2.05223,
        1.99375,
        2.04688,
        2.00518,
        2.02796,
        2.01101,
        1.97166,
        2.00038,
        2.00926,
        2.0378,
        2.1165,
        2.14412,
        2.01447,
        2.02946,
        2.07173,
        1.94333,
        2.04652,
        2.07875,
        2.09656,
        2.04477,
        1.88213,
        1.81207,
        1.59657,
        1.96445,
        2.0491,
        1.77525,
        1.91643,
        2.06026,
        2.25151,
        2.25109,
        2.08238,
        2.11444,
        2.09753,
        2.16482,
        2.14797,
        2.05434,
        2.08122,
        2.08154,
        2.04448,
        2.09056,
        2.08624,
        2.06533,
        2.11503,
        2.03434,
        2.05407,
        2.04918,
        2.07036,
        1.99763,
        2.07241,
        2.04756,
        2.1011,
        2.07056,
        2.11935,
        2.03988,
        2.06688,
        2.16085,
        2.0896,
        2.03303,
        2.04608,
        2.00515,
        2.03633,
        2.09585,
        2.03327,
        2.01277,
        1.97857,
        2.088,
        2.07574,
        2.10787,
        2.07498,
        2.01827,
        1.97305,
        2.05946,
        2.02414,
        2.09106,
        2.03263,
        2.09983,
        1.99294,
        2.00486,
        2.07669,
        2.05862,
        2.12601,
        2.0863,
        2.07797,
        2.07351,
        2.11519,
        2.13217,
        2.06183,
        2.1733,
        2.11971,
        2.06781,
        2.11174,
        2.06045,
        2.13285,
        2.17965,
        2.33402,
        2.1288,
        1.92027,
        2.02535,
        2.29321,
        2.22339,
        2.37605,
        2.04756,
        2.0797,
        2.3288,
        2.34155,
        2.3452,
        2.12276,
        2.33489,
        2.249,
        2.14797,
        2.08979,
        2.03969,
        2.09416,
        2.39805,
        2.32557,
        2.1363,
        2.15928,
        2.07294,
        2.09741,
        2.05474,
        2.08928,
        2.18777,
        2.21399,
        2.25232,
        2.24909,
        2.27871,
        2.16173,
        2.21813,
        2.22405,
        2.21509,
        2.18796,
        2.1869,
        2.18259,
        2.22226,
        2.28554,
        2.27431,
        2.27445,
        2.28688,
        2.23344,
        2.35452,
        2.36372,
        2.43304,
        2.33426,
        2.31179,
        2.22888,
        2.31463,
        2.404,
        2.33111,
        2.30102,
        2.36333,
        2.29837,
        2.32162,
        2.30644,
        2.28169,
        2.27177,
        2.3401,
        2.38626,
        2.60624,
        2.34326,
        2.08173,
        2.1669,
        1.83285,
        2.08685,
        2.22957,
        2.33422,
        2.17423,
        2.25609,
        2.22327,
        2.18166,
        2.36523,
        2.36964,
        2.05615,
        2.09079,
        2.15433,
        2.18335,
        2.09264,
        2.11811,
        2.13553,
        2.22151,
        2.22775,
        2.1179,
        2.10794,
        2.13253,
        2.18876,
        2.07226,
        2.04609,
        2.07793,
        2.15466,
        2.11014,
        2.16744,
        2.12096,
        2.11822,
        2.17787,
        2.07939,
        2.11829,
        2.12759,
        2.08718,
        2.02543,
        2.01147,
        2.17957,
        2.09628,
        1.91607,
        2.04002,
        1.96577,
        2.09583,
        2.19805,
        2.1259,
        2.15667,
        2.05931,
        2.05823,
        2.09224,
        2.09343,
        2.03271,
        2.15004,
        2.10655,
        2.12963,
        2.12462,
        2.04835,
        2.07592,
        2.08634,
        2.10653,
        2.0778,
        2.22553,
        2.18475,
        1.97453,
        2.13132,
        2.06748,
        2.14035,
        2.29816,
        2.23093,
        2.29077,
        2.4492,
        2.10979,
        1.99978,
        2.25287,
        2.10237,
        2.1703,
        2.1317,
        2.08569,
        1.96922,
        1.97454,
        1.98749,
        2.05071,
        2.00995,
        1.9838,
        2.0395,
        2.03819,
        1.87193,
        1.97757,
        2.05313,
        1.91989,
        1.97259,
        1.97126,
        2.0423,
        1.99225,
        2.0751,
        2.0038,
        2.01349,
        2.01619,
        1.98835,
        1.98753,
        2.01943,
        2.00871,
        1.98736,
        2.07901,
        2.05624,
        2.08452,
        2.02548,
        1.92245,
        1.95255,
        2.16487,
        2.03408,
        2.11388,
        2.05658,
        1.99931,
        2.01687,
        2.02438,
        2.05736,
        2.0259,
        1.95372,
        2.01546,
        1.99316,
        2.08476,
        2.07664,
        2.02381,
        2.05566,
        2.07173,
        2.16499,
        2.08551,
        2.09479,
        2.03672,
        1.99835,
        1.98988,
        2.06848,
        2.11855,
        2.13766,
        2.09068,
        2.10402,
        2.07397,
        2.04677,
        2.03419,
        1.95556,
        2.06855,
        2.10512,
        2.05657,
        2.066,
        1.96823,
        2.01358,
        2.01924,
        2.0557,
        2.12379,
        2.09638,
        2.07519,
        2.12634,
        2.08536,
        2.02788,
        1.97472,
        2.05418,
        2.01945,
        2.01604,
        1.98453,
        1.92198,
        1.98087,
        2.00965,
        2.02321,
        2.08569,
        2.00687,
        2.0521,
        1.96135,
        1.96243,
        2.00459,
        2.04047,
        2.05784,
        2.06358,
        2.11354,
        2.03003,
        2.09477,
        1.91074,
        1.96943,
        2.01812,
        2.03377,
        1.97585,
        2.04346,
        2.09307,
        1.99707,
        2.05946,
        2.0966,
        2.08459,
        2.08465,
        2.10622,
        2.07935,
        2.03863,
        2.10843,
        2.09302,
        1.9798,
        2.05073,
        2.07713,
        2.04868,
        2.03616,
        2.02515,
        2.0397,
        2.13483,
        2.08766,
        2.03533,
        1.97882,
        2.16966,
        2.06885,
        2.09132,
        2.1087,
        2.13968,
        2.09943,
        2.00414,
        2.32481,
        2.28675,
        2.26425,
        2.1017,
        2.13411,
        2.12357,
        2.07809,
        2.00727,
        2.04573,
        2.01672,
        2.09575,
        2.06199,
        2.08709,
        2.03607,
        1.96388,
        1.995,
        2.0353,
        2.13636,
        2.09558,
        2.02465,
        2.11097,
        2.12097,
        1.9875,
        2.05256,
        2.12549,
        2.11631,
        2.10833,
        2.03113,
        2.05148,
        2.04747,
        1.99667,
        2.04196,
        1.9395,
        2.00591,
        2.02538,
        2.16797,
        1.86335,
        2.02964,
        2.02989,
        1.98613,
        1.88406,
        1.96082,
        1.98822,
        1.9929,
        1.9679,
        2.01454,
        1.93567,
        2.06808,
        2.09253,
        2.09831,
        1.9881,
        2.04447,
        2.02989,
        2.05025,
        2.04685,
        1.99912,
        2.09372,
        2.04618,
        1.99203,
        2.02595,
        2.02159,
        2.03453,
        2.11666,
        2.04652,
        2.06783,
        1.97133,
        2.05302,
        2.01806,
        2.02925,
        2.05106,
        2.15576,
        2.20771,
        1.84416,
        1.85147,
        1.92417,
        1.68425,
        2.01048,
        1.92693,
        2.00717,
        2.25601,
        2.03184,
        1.96254,
        2.01552,
        2.04794,
        2.11067,
        2.08136,
        2.11627,
        2.07917,
        2.05382,
        2.17411,
        2.11623,
        2.12281,
        2.18659,
        2.11588,
        2.04374,
        2.10904,
        2.09535,
        2.17443,
        2.18674,
        2.09125,
        2.08566,
        2.13256,
        2.16439,
        2.07032,
        2.03333,
        2.08684,
        2.06237,
        2.13674,
        2.07085,
        2.00415,
        2.09113,
        2.12651,
        2.13266,
        2.01076,
        2.1306,
        2.02422,
        2.00886,
        2.07362,
        2.03909,
        2.08865,
        2.09405,
        2.07362,
        2.08642,
        2.08919,
        1.98689,
        2.09179,
        1.99573,
        2.08498,
        2.1079,
        1.98129,
        2.07546,
        2.05637,
        2.13011,
        2.01335,
        2.10131,
        2.00042,
        2.13596,
        1.96454,
        2.00684,
        2.16162,
        2.06933,
        2.05348,
        2.01634,
        2.03471,
        2.12132,
        2.02007,
        1.98171,
        2.10008,
        2.09642,
        2.05069,
        2.06777,
        2.22646,
        2.12906,
        1.98209,
        2.03081,
        2.1838,
        2.09677,
        2.15431,
        2.12815,
        2.02691,
        2.07994,
        2.10626,
        2.03763,
        2.10352,
        2.07956,
        2.04031,
        2.0592,
        2.10571,
        2.05657,
        2.02837,
        2.0679,
        2.09078,
        2.08095,
        2.08318,
        2.03603,
        1.94044,
        1.96709,
        2.17505,
        2.17064,
        2.06736,
        2.04718,
        2.05656,
        2.00356,
        2.09419,
        2.10602,
        2.09155,
        2.14504,
        2.09073,
        2.14899,
        2.21908,
        2.23937,
        2.22941,
        2.05326,
        2.16315,
        2.10476,
        2.10364,
        2.06958,
        2.11763,
        2.07596,
        2.1742,
        2.17341,
        2.17872,
        1.96966,
        2.21577,
        2.15648,
        2.13855,
        2.1583,
        2.12852,
        2.12727,
        2.08246,
        2.19443,
        2.17918,
        2.09271,
        2.10742,
        2.17673,
        2.16614,
        2.0952,
        2.21605,
        1.99499,
        2.08859,
        2.19935,
        2.03549,
        2.11468,
        2.1392,
        2.18851,
        2.15699,
        2.11533,
        2.17496,
        2.19822,
        2.20463,
        2.19909,
        2.14656,
        2.20283,
        2.21686,
        2.1641,
        2.10115,
        2.18487,
        2.2113,
        2.29174,
        2.27363,
        2.30184,
        2.15673,
        2.30013,
        2.55609,
        2.31895,
        2.3774,
        2.35079,
        2.41795,
        2.48989,
        2.42765,
        2.3657,
        2.24003,
        2.35898,
        2.31064,
        2.3052,
        2.29567,
        2.18491,
        2.33285,
        2.35993,
        2.42377,
        2.44201,
        2.33577,
        2.49967,
        2.45647,
        2.20125,
        2.36314,
        2.6235,
        2.20804,
        2.02333,
        1.93252,
        1.96523,
        2.08963,
        2.0391,
        2.00636,
        2.10792,
        2.17352,
        2.15368,
        2.21635,
        2.1645,
        2.22287,
        2.22355,
        2.15534,
        2.20922,
        2.18392,
        2.2058,
        2.09154,
        2.03748,
        1.98797,
        2.03026,
        2.12682,
        2.00833,
        2.13968,
        2.02326,
        2.12329,
        2.06281,
        1.97714,
        2.0466,
        2.0142,
        2.10408,
        2.00924,
        1.97035,
        2.0606,
        1.89504,
        2.02776,
        2.21888,
        2.15862,
        2.30612,
        1.89627,
        1.76985,
        2.28586,
        2.22559,
        2.05003,
        2.23547,
        1.99506,
        2.09463,
        2.07248,
        2.07999,
        2.12965,
        2.15173,
        2.12114,
        2.06568,
        2.14115,
        2.11852,
        1.97857,
        1.95813,
        2.04792,
        1.96883,
        1.96445,
        1.99701,
        2.07713,
        2.0791,
        2.00059,
        2.1055,
        2.1093,
        2.05244,
        1.98976,
        1.94392,
        2.05436,
        1.89824,
        1.85695,
        2.05432,
        1.97831,
        1.94981,
        1.92991,
        2.02627,
        2.13275,
        2.07966,
        2.1934,
        2.04507,
        1.9462,
        2.06011,
        1.98123,
        2.03716,
        2.1369,
        1.77821,
        1.8648,
        1.93975,
        2.24327,
        2.15925,
        2.1824,
        null,
        2.0666,
        2.04932,
        2.05823,
        2.07721,
        2.05874,
        2.0448,
        2.04118,
        2.05975,
        1.99721,
        1.98425,
        1.98149,
        2.01833,
        1.99895,
        1.9978,
        2.05924,
        2.04233,
        2.0572,
        2.02569,
        2.06438,
        2.06765,
        2.03214,
        2.03727,
        2.01649,
        1.98732,
        1.9826,
        2.00185,
        2.03501,
        2.05022,
        2.05613,
        2.02105,
        2.03657,
        2.06454,
        2.08432,
        2.11593,
        2.13574,
        2.12289,
        2.15799,
        2.1609,
        2.09322,
        2.16425,
        2.09932,
        2.13988,
        2.14889,
        2.14532,
        2.0668,
        2.04046,
        2.04605,
        2.10829,
        2.1374,
        2.13584,
        2.15913,
        2.15712,
        2.14205,
        2.05531,
        2.00984,
        2.09849,
        2.07631,
        2.10212,
        2.12268,
        2.06194,
        2.0191,
        1.98319,
        2.15597,
        2.15551,
        2.0579,
        2.01714,
        2.08476,
        2.10242,
        2.15762,
        2.14586,
        2.12235,
        2.19408,
        2.19213,
        2.04721,
        2.08625,
        2.15407,
        2.05036,
        2.05186,
        2.0787,
        2.14956,
        2.15768,
        2.14029,
        2.08858,
        2.0483,
        2.18337,
        2.14057,
        2.08861,
        2.15475,
        2.15889,
        2.12182,
        2.15681,
        2.2347,
        2.292,
        2.17767,
        2.14781,
        2.20088,
        2.17609,
        2.23862,
        2.17273,
        2.27309,
        2.22271,
        2.29479,
        2.20444,
        2.20084,
        2.15,
        2.20245,
        2.16212,
        2.13882,
        2.13602,
        2.18792,
        2.26756,
        2.17084,
        2.13389,
        2.23117,
        2.22571,
        2.25689,
        2.15921,
        2.09732,
        2.16053,
        2.12267,
        2.02552,
        2.07185,
        2.15008,
        2.14427,
        2.09448,
        2.09352,
        2.1357,
        2.18496,
        2.15923,
        2.16681,
        2.18161,
        2.16963,
        2.23601,
        2.24139,
        2.2904,
        2.33265,
        2.3488,
        2.4037,
        2.36719,
        2.36943,
        2.42158,
        2.35847,
        2.42148,
        2.41475,
        2.41779,
        2.39684,
        2.36775,
        2.39002,
        2.37991,
        2.41174,
        2.37017,
        2.29372,
        2.32622,
        2.46228,
        2.36822,
        2.2988,
        2.45033,
        2.26005,
        2.06845,
        2.05352,
        2.28066,
        2.2293,
        2.14543,
        2.09559,
        2.17137,
        2.22174,
        2.14629,
        2.21323,
        2.24547,
        2.20057,
        2.24088,
        2.22182,
        2.20127,
        2.20175,
        2.14581,
        2.15139,
        2.13735,
        2.13947,
        2.09409,
        2.1287,
        2.16676,
        2.2103,
        2.22417,
        2.1693,
        2.09292,
        2.13543,
        2.05695,
        2.14701,
        2.20339,
        2.04309,
        2.15927,
        2.12163,
        2.06133,
        2.10376,
        2.14376,
        2.12061,
        2.04957,
        2.03099,
        2.02183,
        2.01916,
        2.03723,
        2.11031,
        2.08377,
        2.0692,
        1.9853,
        1.96275,
        2.04313,
        2.17045,
        2.25535,
        1.87269,
        1.87293,
        2.32369,
        2.34166,
        2.69438,
        2.10102,
        1.9069,
        2.35842,
        2.20953,
        2.13451,
        2.21892,
        2.24181,
        2.04642,
        2.23418,
        2.07238,
        2.1516,
        2.11284,
        2.23429,
        2.20435,
        1.9405,
        1.83099,
        1.97533,
        2.00342,
        2.05271,
        2.0883,
        2.07065,
        2.00113,
        2.06257,
        2.03255,
        2.06869,
        2.02382,
        2.02661,
        2.11961,
        2.09331,
        2.09556,
        2.12596,
        2.10933,
        2.00911,
        1.99613,
        2.11454,
        2.13301,
        2.09337,
        2.0295,
        2.05453,
        2.08063,
        2.03772,
        1.97301,
        2.03001,
        2.01078,
        2.13819,
        2.06835,
        1.9413,
        2.01968,
        2.06625,
        1.99599,
        2.01421,
        1.94042,
        1.711,
        1.93219,
        1.99433,
        1.79871,
        2.04823,
        1.94513,
        2.04833,
        2.11183,
        2.12454,
        2.01673,
        2.12411,
        2.0751,
        2.03875,
        2.09728,
        2.10896,
        2.08967,
        2.08477,
        2.14055,
        2.17718,
        2.13787,
        2.11482,
        2.07992,
        2.09351,
        2.06068,
        2.13526,
        2.11937,
        2.11331,
        2.12504,
        2.09333,
        2.08517,
        2.08364,
        2.09454,
        2.10581,
        2.07921,
        2.12977,
        2.1007,
        2.1048,
        2.10393,
        2.12611,
        2.10596,
        2.0654,
        2.04617,
        2.09098,
        2.10218,
        2.08042,
        2.12629,
        2.12046,
        2.09903,
        2.09093,
        2.14471,
        2.10533,
        2.11739,
        2.11763,
        2.0669,
        2.05791,
        2.08666,
        2.08634,
        2.10156,
        2.09333,
        1.99576,
        1.95969,
        2.10773,
        2.04276,
        2.11547,
        2.06218,
        2.13228,
        2.13649,
        2.10015,
        2.08057,
        2.04894,
        2.06705,
        2.04602,
        2.08164,
        2.07273,
        2.02901,
        2.0474,
        2.05776,
        2.06061,
        1.99047,
        2.02442,
        2.0531,
        2.06455,
        2.045,
        2.10854,
        2.08196,
        2.07757,
        2.03606,
        2.03869,
        2.05432,
        2.08385,
        2.05259,
        2.07095,
        2.11754,
        2.10415,
        2.07775,
        2.15618,
        2.12079,
        2.11733,
        2.15123,
        2.12913,
        2.07201,
        2.06557,
        2.06992,
        2.03897,
        2.07316,
        2.08622,
        2.07834,
        2.09252,
        2.14161,
        2.12373,
        2.12147,
        2.07548,
        2.04865,
        2.06694,
        2.13934,
        2.11615,
        2.19607,
        2.17888,
        2.1477,
        2.11087,
        2.09777,
        2.09754,
        2.11261,
        2.11298,
        2.0624,
        2.05007,
        2.08413,
        2.12663,
        2.0323,
        2.01705,
        2.06546,
        2.20359,
        2.0885,
        2.03495,
        1.95816,
        1.96676,
        2.01966,
        2.02787,
        2.05713,
        2.02824,
        1.97398,
        2.00706,
        2.07303,
        2.04666,
        2.01835,
        1.98763,
        2.04738,
        2.0833,
        2.08322,
        2.04736,
        2.0896,
        2.03093,
        2.04021,
        2.12814,
        2.09861,
        2.14522,
        2.20791,
        2.05265,
        2.06888,
        2.11026,
        2.16331,
        2.08571,
        2.09931,
        2.11765,
        2.10378,
        2.07063,
        2.0496,
        2.04586,
        2.02623,
        2.02429,
        2.04651,
        2.03466,
        2.03703,
        2.03337,
        2.07092,
        2.03251,
        2.01749,
        1.9797,
        2.02641,
        2.04641,
        2.0769,
        2.0454,
        2.08322,
        2.04844,
        2.02453,
        2.0051,
        2.0695,
        2.11182,
        2.09001,
        2.0316,
        2.05563,
        2.09863,
        2.0731,
        2.04033,
        2.05322,
        2.0836,
        2.06916,
        2.05919,
        2.0838,
        2.06889,
        2.06533,
        2.056,
        2.09495,
        2.07696,
        2.04376,
        2.03836,
        2.09932,
        2.06163,
        2.06002,
        2.08117,
        2.05442,
        2.07723,
        2.01624,
        2.01958,
        2.02294,
        1.95551,
        2.00177,
        2.03653,
        1.99165,
        2.01944,
        2.02825,
        2.07406,
        2.03586,
        2.03602,
        2.06377,
        2.10485,
        2.07711,
        2.02908,
        2.06954,
        2.04329,
        2.05451,
        2.06594,
        2.06949,
        2.12569,
        2.15258,
        2.10409,
        2.13305,
        2.16039,
        2.14843,
        2.13158,
        2.13166,
        2.13783,
        2.11997,
        2.13386,
        2.19271,
        2.1462,
        2.18462,
        2.17142,
        2.15497,
        2.16612,
        2.16829,
        2.15257,
        2.16556,
        2.16284,
        2.18268,
        2.18121,
        2.17666,
        2.15111,
        2.17427,
        2.14156,
        2.12381,
        2.12396,
        2.12835,
        2.15802,
        2.15901,
        2.11878,
        2.09659,
        2.1377,
        2.17223,
        2.14446,
        2.06984,
        2.06709,
        2.07842,
        2.14141,
        2.1404,
        2.20552,
        2.2229,
        2.22043,
        2.27094,
        2.26271,
        2.23376,
        2.19263,
        2.21312,
        2.19717,
        2.32155,
        2.30962,
        2.24056,
        2.26892,
        2.27645,
        2.30475,
        2.32303,
        2.34797,
        2.40406,
        2.42108,
        2.44067,
        2.37432,
        2.4315,
        2.4473,
        2.38367,
        2.4368,
        2.41843,
        2.37075,
        2.30252,
        2.41394,
        2.51934,
        2.46884,
        2.30318,
        2.38449,
        2.25437,
        2.39797,
        2.42704,
        2.49612,
        2.16984,
        2.25335,
        2.19386,
        2.09041,
        2.17283,
        2.20535,
        2.11088,
        2.15333,
        2.22693,
        2.16671,
        2.24221,
        2.18456,
        2.17842,
        2.16395,
        2.20144,
        2.16077,
        2.16725,
        2.14944,
        2.17716,
        2.18362,
        2.15185,
        2.1338,
        2.17821,
        2.09886,
        2.13363,
        2.15395,
        2.1364,
        2.06955,
        2.05154,
        2.0482,
        2.08611,
        2.09009,
        2.10531,
        2.1011,
        2.09676,
        2.12915,
        2.11329,
        2.11707,
        2.09242,
        2.08777,
        2.13271,
        2.13878,
        2.07542,
        2.12071,
        2.09365,
        2.11806,
        2.12319,
        2.10048,
        2.05082,
        2.09579,
        2.05803,
        2.0502,
        2.07434,
        2.07544,
        2.08046,
        2.09852,
        2.09962,
        2.08306,
        2.06249,
        2.03197,
        2.07656,
        2.08145,
        2.03849,
        2.05237,
        2.08826,
        2.06633,
        2.07761,
        2.07065,
        2.05,
        2.06975,
        2.04467,
        2.0978,
        2.08606,
        2.06224,
        2.0699,
        2.03308,
        2.04547,
        2.03203,
        2.02545,
        2.06032,
        2.11325,
        2.03552,
        2.01961,
        2.04627,
        2.07344,
        2.07902,
        2.09695,
        2.04706,
        2.02096,
        1.99732,
        2.06645,
        2.00831,
        2.05685,
        2.09722,
        2.05885,
        2.12254,
        2.13362,
        2.11612,
        2.12216,
        2.05482,
        2.08334,
        2.07755,
        2.17596,
        2.11368,
        1.97638,
        2.04854,
        2.1089,
        2.14242,
        2.18704,
        2.10943,
        2.10098,
        2.07938,
        2.11105,
        2.10745,
        2.06623,
        2.05816,
        2.02589,
        2.07503,
        2.11472,
        2.12268,
        2.11113,
        2.09389,
        2.03633,
        1.98675,
        1.99312,
        2.04289,
        2.07847,
        2.11593,
        2.0577,
        2.05578,
        2.06302,
        2.04062,
        1.98869,
        2.00411,
        1.96209,
        1.99588,
        2.10428,
        2.13411,
        2.1361,
        2.04175,
        2.11082,
        2.21604,
        2.07486,
        2.03085,
        2.05818,
        2.05262,
        2.08406,
        2.05923,
        2.16852,
        2.16169,
        2.00934,
        2.00191,
        2.05904,
        2.08236,
        2.13886,
        2.11135,
        2.03706,
        2.06405,
        2.05482,
        2.00062,
        2.05098,
        2.08651,
        2.04724,
        2.06466,
        2.09768,
        2.05799,
        2.06905,
        2.09353,
        2.13009,
        2.10329,
        2.10352,
        2.06764,
        2.08202,
        2.1033,
        2.10407,
        2.13372,
        2.06394,
        2.04358,
        2.04464,
        2.09172,
        2.04472,
        2.0727,
        2.05515,
        2.02857,
        2.06594,
        2.03966,
        2.00449,
        2.08435,
        2.0818,
        2.08367,
        2.06133,
        2.07735,
        2.12323,
        2.08717,
        2.07869,
        2.04553,
        2.03373,
        2.0488,
        2.00416,
        2.06796,
        2.05772,
        2.10311,
        2.04193,
        2.01829,
        2.0032,
        2.00769,
        2.07608,
        2.10754,
        2.0619,
        2.10006,
        2.02403,
        2.03574,
        2.07619,
        2.01082,
        2.04669,
        2.08408,
        2.02993,
        1.99542,
        2.02845,
        2.10154,
        2.03733,
        2.02147,
        2.07284,
        2.08312,
        2.0976,
        2.08792,
        2.08029,
        2.03847,
        2.12655,
        2.14941,
        1.91925,
        1.9655,
        2.10763,
        2.11307,
        1.99444,
        2.12135,
        2.06088,
        2.08743,
        2.11916,
        2.11328,
        2.03362,
        2.04136,
        2.08882,
        2.07964,
        2.09534,
        2.06634,
        2.07802,
        2.03586,
        2.04061,
        2.0448,
        2.00718,
        1.98985,
        2.02065,
        2.02876,
        2.10323,
        2.08414,
        2.05055,
        2.02999,
        2.09507,
        2.12192,
        2.11118,
        2.11085,
        2.10038,
        2.16771,
        2.06291,
        2.1692,
        2.12862,
        2.1585,
        2.15676,
        2.07388,
        2.07174,
        2.07652,
        2.08091,
        2.08883,
        2.09673,
        2.07505,
        2.07192,
        2.04482,
        2.06477,
        2.10084,
        2.1059,
        2.12119,
        2.04921,
        2.10972,
        2.07411,
        2.09283,
        2.10139,
        2.11275,
        2.01097,
        2.05364,
        2.06615,
        2.06432,
        2.04038,
        2.03755,
        2.11896,
        2.03227,
        1.95792,
        1.96575,
        1.94693,
        2.0338,
        2.02992,
        2.01618,
        2.03155,
        2.03985,
        2.01346,
        2.04752,
        2.04561,
        2.02564,
        1.99655,
        2.0655,
        2.10971,
        2.12617,
        2.04891,
        2.07026,
        2.04526,
        2.07189,
        2.04158,
        2.12644,
        2.12718,
        2.14565,
        2.04058,
        2.04968,
        2.00077,
        2.08644,
        2.14087,
        2.12259,
        2.09658,
        2.10782,
        2.05367,
        2.03569,
        1.99248,
        2.04528,
        2.09,
        2.1347,
        2.19445,
        2.18067,
        2.02001,
        2.09446,
        2.0812,
        2.10783,
        2.08323,
        2.06556,
        2.06632,
        2.10628,
        2.1161,
        2.02496,
        2.05788,
        2.0919,
        2.04161,
        2.10094,
        2.1205,
        2.06939,
        2.08478,
        2.17877,
        2.16227,
        2.09929,
        2.05423,
        2.1219,
        2.05683,
        2.08916,
        2.13777,
        2.12142,
        2.09344,
        2.07576,
        2.05382,
        2.1012,
        2.1129,
        2.10952,
        2.1232,
        2.02027,
        2.10909,
        2.12747,
        2.11384,
        2.1199,
        2.12147,
        2.0806,
        2.0855,
        2.11729,
        2.14951,
        2.12722,
        2.19607,
        2.05885,
        2.1405,
        2.16424,
        2.20988,
        2.20443,
        2.15266,
        2.19399,
        2.25096,
        2.14308,
        2.10267,
        2.05965,
        2.10359,
        2.14236,
        2.15316,
        2.14132,
        2.15181,
        2.16349,
        2.11407,
        2.1473,
        2.19844,
        2.14603,
        2.15103,
        2.30529,
        2.26807,
        2.20762,
        2.14714,
        2.13156,
        2.13587,
        2.13677,
        2.1287,
        2.1638,
        2.15193,
        2.2339,
        2.20989,
        2.23774,
        2.22302,
        2.1188,
        2.08617,
        2.06133,
        2.07873,
        2.06689,
        2.11172,
        2.21176,
        2.16421,
        2.19632,
        2.22721,
        2.2518,
        2.26415,
        2.19422,
        2.17986,
        2.26216,
        2.24212,
        2.31118,
        2.4185,
        2.34813,
        2.3271,
        2.38277,
        2.31139,
        2.35347,
        2.33565,
        2.40024,
        2.32494,
        2.37772,
        2.55444,
        2.53189,
        2.42245,
        2.40289,
        2.49064,
        2.50349,
        2.41731,
        2.29354,
        2.44596,
        2.32375,
        2.45151,
        2.32599,
        2.25946,
        2.24388,
        2.33694,
        2.21209,
        2.05967,
        2.35605,
        2.10647,
        1.84616,
        2.10881,
        2.14251,
        1.94771,
        2.3286,
        2.19829,
        2.26552,
        2.27874,
        2.13453,
        2.2389,
        2.26928,
        2.25474,
        2.19866,
        2.22852,
        2.13111,
        2.11213,
        2.02789,
        2.12304,
        2.18324,
        2.06361,
        2.16951,
        2.07244,
        2.17582,
        1.96882,
        2.05223,
        2.15996,
        2.19408,
        2.18263,
        2.11506,
        2.13788,
        2.18469,
        2.02984,
        2.15271,
        2.11237,
        2.13829,
        2.08396,
        2.00585,
        2.06792,
        2.07889,
        2.06022,
        2.09305,
        2.06534,
        2.14626,
        2.14362,
        2.11041,
        2.09728,
        2.13063,
        2.11137,
        2.09077,
        2.06486,
        1.98358,
        2.05166,
        2.07585,
        1.99677,
        2.01294,
        2.09177,
        2.03816,
        2.04788,
        2.10412,
        2.05022,
        2.02098,
        1.98949,
        1.96114,
        2.00561,
        2.03453,
        2.00787,
        2.03758,
        2.02057,
        2.04268,
        2.13036,
        2.07833,
        2.04703,
        2.04334,
        2.0551,
        2.08727,
        2.03224,
        2.07859,
        2.07044,
        2.09975,
        2.00795,
        2.08118,
        2.06991,
        2.07042,
        2.04307,
        2.04917,
        2.04669,
        2.08047,
        2.12529,
        2.12804,
        2.04006,
        2.10811,
        2.05695,
        2.05251,
        2.01991,
        2.19559,
        2.164,
        2.17251,
        2.18071,
        2.08643,
        2.10228,
        2.07484,
        2.10684,
        2.07472,
        1.95678,
        2.05284,
        2.1535,
        2.09615,
        2.03035,
        2.06869,
        1.96925,
        1.91147,
        1.94467,
        2.11646,
        2.06141,
        2.06719,
        1.93764,
        1.84797,
        1.92304,
        2.0843,
        2.10335,
        1.98515,
        2.05351,
        2.04107,
        2.07336,
        2.01484,
        2.06402,
        2.03828,
        2.0933,
        2.06906,
        1.83628,
        2.01008,
        2.14506,
        2.03971,
        2.09635,
        2.0636,
        2.01166,
        1.91946,
        2.02804,
        2.01125,
        1.98739,
        2.02026,
        1.99051,
        2.03883,
        2.05649,
        2.03128,
        1.98441,
        2.0546,
        2.06236,
        2.05646,
        2.0573,
        2.08166,
        2.07893,
        2.04405,
        2.10264,
        2.03416,
        1.94699,
        2.05823,
        2.06622,
        2.10305,
        2.03827,
        2.13006,
        2.1162,
        2.07634,
        2.10655,
        1.99665,
        2.03567,
        2.07475,
        2.0604,
        2.09905,
        2.07393,
        2.12397,
        2.11785,
        2.06529,
        2.06763,
        2.10495,
        2.14643,
        2.12718,
        2.11847,
        2.19728,
        2.06875,
        2.0144,
        2.05495,
        2.15567,
        2.09757,
        2.0233,
        2.09881,
        2.17422,
        1.98783,
        1.99548,
        1.9345,
        2.03433,
        2.05664,
        2.1059,
        2.12927,
        2.09032,
        2.049,
        2.06228,
        2.06106,
        2.11018,
        2.12873,
        2.06845,
        2.12579,
        2.0775,
        2.04013,
        2.0517,
        2.13456,
        1.9916,
        2.05791,
        2.10057,
        2.11476,
        2.05219,
        2.08222,
        2.09731,
        2.11841,
        1.95919,
        1.82171,
        2.12147,
        2.02104,
        1.96557,
        2.07825,
        2.06741,
        2.06928,
        2.05555,
        2.10883,
        2.10797,
        2.03378,
        1.98922,
        2.05478,
        2.05836,
        2.00061,
        1.99314,
        2.02578,
        2.08921,
        2.01684,
        2.04861,
        2.05706,
        2.02253,
        2.13089,
        2.06674,
        2.1162,
        2.08855,
        2.0467,
        2.06777,
        2.05388,
        1.95312,
        2.06401,
        2.08641,
        2.08362,
        2.02514,
        2.10536,
        2.08334,
        2.05472,
        2.03953,
        2.10624,
        2.07994,
        2.04956,
        2.0534,
        2.11718,
        2.05131,
        2.09163,
        2.04288,
        2.104,
        2.12674,
        2.10054,
        2.0881,
        2.04747,
        2.03259,
        2.10774,
        2.07542,
        2.09229,
        2.06447,
        2.07312,
        2.05387,
        2.08153,
        2.02738,
        2.09281,
        2.09624,
        2.12216,
        2.12135,
        2.09334,
        2.10418,
        2.05205,
        2.05139,
        2.02572,
        2.02163,
        1.97605,
        2.0089,
        2.0292,
        2.03202,
        1.99553,
        2.03302,
        2.00564,
        2.05214,
        1.98489,
        2.02033,
        2.06551,
        2.07277,
        2.05456,
        2.04252,
        1.99939,
        2.00695,
        1.99711,
        2.03218,
        2.07809,
        2.07301,
        2.0506,
        2.02157,
        2.00729,
        2.1015,
        2.10283,
        2.11473,
        2.0037,
        1.96385,
        2.00242,
        2.07601,
        2.03309,
        2.04878,
        2.127,
        2.12047,
        2.09476,
        2.06987,
        2.03468,
        2.07418,
        2.09781,
        2.01504,
        2.0425,
        2.10203,
        2.11073,
        2.07703,
        2.03159,
        2.07844,
        2.06256,
        2.01041,
        2.04748,
        1.99387,
        2.03655,
        1.98827,
        2.01464,
        1.97624,
        2.05933,
        2.0382,
        2.00325,
        2.01985,
        1.98013,
        2.0404,
        2.08141,
        2.01834,
        1.97576,
        1.93772,
        1.91149,
        1.93758,
        1.91686,
        1.8901,
        1.97014,
        2.14922,
        2.09029,
        2.04867,
        2.0764,
        2.04302,
        2.02605,
        2.03879,
        2.05915,
        2.02997,
        2.04639,
        2.03195,
        1.99972,
        2.00786,
        2.05902,
        2.01968,
        2.02354,
        2.04904,
        2.03105,
        2.03399,
        2.11571,
        2.22424,
        2.05046,
        2.14614,
        2.04832,
        2.10278,
        1.98264,
        1.97295,
        1.96126,
        2.07106,
        2.10528,
        2.14367,
        2.18296,
        1.97573,
        2.04428,
        2.03409,
        2.04146,
        2.1281,
        2.05878,
        2.03834,
        2.20897,
        2.14847,
        2.09447,
        2.10293,
        2.13902,
        2.09284,
        2.06098,
        2.20696,
        2.29655,
        2.03543,
        2.06599,
        2.01243,
        2.12035,
        2.13583,
        2.03175,
        2.18009,
        2.19292,
        2.15306,
        2.17571,
        2.14397,
        2.15055,
        2.06093,
        2.15491,
        2.21459,
        2.17092,
        2.16291,
        2.15603,
        2.11051,
        2.16716,
        2.15344,
        2.16225,
        2.17476,
        2.18891,
        2.14471,
        2.15454,
        2.12782,
        2.19508,
        2.0871,
        2.09718,
        2.182,
        2.18921,
        2.22846,
        2.12375,
        2.07243,
        2.11919,
        2.07203,
        2.05922,
        2.07298,
        2.02328,
        1.99425,
        2.08549,
        2.03822,
        2.05647,
        2.15695,
        2.26639,
        2.23388,
        2.29602,
        2.21923,
        2.16516,
        2.26895,
        2.25445,
        2.2449,
        2.27977,
        2.38925,
        2.349,
        2.33812,
        2.3636,
        2.36787,
        2.3997,
        2.39341,
        2.35694,
        2.43871,
        2.43888,
        2.54688,
        2.56826,
        2.37372,
        2.37504,
        2.39987,
        2.38979,
        2.44268,
        2.42087,
        2.28092,
        2.40561,
        2.48486,
        2.41454,
        2.45502,
        2.49178,
        2.45921,
        2.54527,
        2.15267,
        2.2524,
        2.55093,
        2.63368,
        2.26347,
        2.50856,
        2.51417,
        2.2461,
        2.27914,
        2.19741,
        2.11411,
        2.19515,
        2.23888,
        2.22082,
        2.16689,
        2.25119,
        2.17742,
        2.2071,
        2.19463,
        2.15064,
        2.19515,
        2.13476,
        2.13302,
        2.10572,
        2.14512,
        2.09195,
        2.13456,
        2.13293,
        2.13421,
        2.07013,
        2.11797,
        2.12758,
        2.05964,
        2.06135,
        2.13697,
        2.14109,
        2.09648,
        1.99986,
        2.02316,
        1.95192,
        2.09719,
        2.07691,
        2.1115,
        2.10137,
        2.11875,
        2.0982,
        1.97398,
        2.15725,
        2.09425,
        2.04596,
        2.11027,
        2.16869,
        2.07488,
        2.0842,
        2.01332,
        2.13048,
        2.06065,
        2.03531,
        2.0259,
        2.01968,
        2.07562,
        2.12148,
        2.10669,
        2.05367,
        1.99663,
        2.08586,
        2.01503,
        2.05531,
        2.05882,
        2.12231,
        2.08057,
        2.07079,
        2.05817,
        2.06783,
        2.13375,
        2.01802,
        2.05894,
        2.15784,
        2.19577,
        2.12992,
        2.08481,
        2.07979,
        2.0747,
        2.11843,
        2.08857,
        2.12245,
        2.13146,
        2.14739,
        2.11921,
        2.07443,
        2.06759,
        2.13392,
        2.14983,
        2.25493,
        2.12537,
        2.18321,
        2.08502,
        2.08392,
        1.97764,
        1.98457,
        2.16929,
        2.1116,
        2.11831,
        2.05012,
        2.0412,
        2.10869,
        2.06522,
        2.07919,
        2.02861,
        2.03737,
        1.99654,
        2.05322,
        2.08369,
        2.0432,
        2.12715,
        2.06071,
        2.07583,
        2.04064,
        2.05639,
        1.98528,
        1.97029,
        2.06575,
        2.04576,
        2.08284,
        2.04153,
        1.99727,
        2.05074,
        2.05943,
        2.05487,
        2.07272,
        2.08386,
        1.99371,
        2.1205,
        2.10496,
        1.97049,
        2.02464,
        2.01393,
        2.01664,
        2.07714,
        2.12706,
        2.07415,
        2.06577,
        2.03549,
        2.03177,
        2.09229,
        2.08309,
        2.11799,
        2.12581,
        2.03192,
        2.0382,
        2.05329,
        2.1034,
        2.10022,
        2.08888,
        2.10585,
        2.14972,
        2.00006,
        2.02452,
        2.15113,
        2.10542,
        2.03276,
        2.05077,
        2.11718,
        2.15518,
        2.05908,
        2.09038,
        2.12408,
        2.1294,
        2.04129,
        2.05413,
        2.1073,
        2.08348,
        2.11173,
        2.09391,
        1.98456,
        2.10106,
        2.16517,
        2.09672,
        2.12223,
        2.02304,
        2.14242,
        2.13523,
        2.15822,
        2.11657,
        2.16049,
        2.18465,
        2.11973,
        2.08231,
        2.10582,
        2.11975,
        2.06679,
        2.02928,
        2.10921,
        2.0552,
        2.01669,
        2.05935,
        2.04351,
        2.04728,
        2.04615,
        2.08503,
        1.9828,
        1.96313,
        2.07146,
        2.0937,
        2.04216,
        2.02986,
        2.08634,
        2.03582,
        2.11117,
        2.134,
        2.12348,
        2.054,
        2.09395,
        2.00848,
        2.08503,
        1.98393,
        2.07168,
        2.19666,
        1.97022,
        1.92222,
        2.12736,
        1.97541,
        2.02546,
        2.19599,
        2.11223,
        2.07102,
        2.04548,
        2.07412,
        2.10921,
        2.04434,
        2.05346,
        2.03865,
        2.04846,
        2.15722,
        2.15482,
        2.09287,
        2.06271,
        2.20618,
        2.15046,
        2.08507,
        1.97081,
        2.12281,
        2.2362,
        2.09217,
        2.0462,
        2.09194,
        2.04577,
        2.0814,
        2.06768,
        2.01127,
        2.00764,
        2.02947,
        2.15319,
        2.11033,
        2.14283,
        2.14964,
        2.1647,
        2.05448,
        2.12433,
        2.13071,
        2.08288,
        2.17379,
        2.15908,
        2.01487,
        2.03857,
        2.12346,
        2.14815,
        2.03559,
        2.08207,
        2.15766,
        2.0751,
        2.11128,
        2.09183,
        2.13866,
        2.10624,
        2.12418,
        2.01358,
        2.01438,
        2.12697,
        2.16879,
        2.138,
        2.0642,
        2.12386,
        2.01421,
        2.15654,
        2.01175,
        2.18808,
        2.1423,
        2.03552,
        2.06047,
        1.98101,
        2.00445,
        2.03566,
        2.00726,
        2.17103,
        2.09985,
        2.15871,
        2.03017,
        1.99916,
        2.01478,
        2.03852,
        2.05106,
        1.99917,
        2.01312,
        2.07245,
        1.88983,
        2.06556,
        2.11328,
        2.00237,
        2.08313,
        2.12038,
        2.09588,
        2.07691,
        2.05622,
        2.07262,
        2.08601,
        2.06416,
        2.10372,
        2.04923,
        2.01762,
        2.10306,
        2.08722,
        2.02466,
        2.03115,
        2.03022,
        2.11208,
        2.04214,
        1.81187,
        2.1117,
        2.02472,
        2.12811,
        1.95433,
        2.25477,
        2.19624,
        2.03581,
        2.28607,
        2.30013,
        2.18185,
        2.10152,
        1.93103,
        2.10292,
        2.28938,
        2.1511,
        1.94844,
        1.83048,
        2.05432,
        2.34934,
        2.32615,
        1.91038,
        2.07533,
        1.96767,
        1.69736,
        2.00108,
        1.84367,
        1.92399,
        2.18667,
        1.97582,
        2.05943,
        2.07594,
        2.06962,
        1.97598,
        2.04785,
        2.02059,
        2.14135,
        2.07471,
        2.1535,
        2.13571,
        2.04533,
        2.10341,
        2.1375,
        2.11447,
        2.13613,
        2.07135,
        2.00671,
        2.11428,
        2.1902,
        2.04758,
        2.01228,
        2.15897,
        2.19579,
        2.08509,
        2.13711,
        2.14728,
        2.12446,
        2.08849,
        2.09694,
        2.04605,
        1.98192,
        2.0374,
        2.01711,
        1.94492,
        1.99735,
        1.92613,
        2.14184,
        2.17584,
        2.16252,
        2.15367,
        2.04513,
        2.08773,
        2.09809,
        2.07684,
        2.11523,
        2.05591,
        2.08177,
        2.18397,
        2.17758,
        2.12236,
        2.0549,
        2.0984,
        2.03846,
        2.09499,
        2.21647,
        2.24523,
        2.1933,
        2.14354,
        2.03447,
        2.18615,
        2.12383,
        2.15236,
        2.10747,
        2.02014,
        2.12046,
        2.11415,
        2.13346,
        2.15562,
        2.05688,
        2.18925,
        2.26206,
        2.11197,
        2.30876,
        2.10284,
        2.09002,
        2.11971,
        2.0245,
        2.16457,
        2.14285,
        null,
        2.0641,
        2.11683,
        2.1551,
        2.13958,
        2.09108,
        2.13512,
        2.14246,
        2.12398,
        2.05362,
        2.02174,
        2.09831,
        2.11543,
        2.11251,
        2.1163,
        2.09724,
        2.0881,
        2.05479,
        2.0611,
        2.12581,
        2.11959,
        2.08291,
        2.12882,
        2.12046,
        2.04044,
        2.07157,
        2.08738,
        2.05292,
        2.00868,
        1.98305,
        2.01972,
        2.01807,
        2.06742,
        2.04195,
        2.03572,
        2.04475,
        2.11883,
        2.11408,
        2.09777,
        2.20067,
        2.15168,
        2.05102,
        2.00132,
        1.88377,
        2.00931,
        2.05042,
        2.04408,
        2.17776,
        2.1035,
        2.05127,
        2.13773,
        2.20321,
        2.07884,
        2.06279,
        2.16665,
        2.13497,
        2.03068,
        2.00469,
        2.05083,
        2.04049,
        2.10718,
        2.09898,
        2.01498,
        2.05477,
        1.97446,
        1.93901,
        2.10035,
        2.09738,
        2.06342,
        2.09621,
        2.09493,
        2.08311,
        2.16401,
        2.14293,
        2.09514,
        2.06835,
        2.09458,
        2.12457,
        2.08003,
        2.11425,
        2.16927,
        2.18509,
        2.04868,
        2.01727,
        2.07304,
        2.07597,
        2.11234,
        2.11105,
        2.0822,
        2.10631,
        2.15343,
        2.0951,
        2.08283,
        2.09082,
        2.06173,
        2.03718,
        2.03571,
        2.08709,
        2.10613,
        2.1322,
        2.0927,
        2.07195,
        2.03585,
        2.01355,
        2.01329,
        2.04287,
        2.10869,
        2.08691,
        2.076,
        2.10927,
        2.1056,
        2.11349,
        2.05927,
        2.05306,
        2.04485,
        2.04729,
        2.0855,
        2.05144,
        2.08906,
        2.10366,
        2.08337,
        2.07872,
        2.00849,
        1.98141,
        2.06596,
        1.9402,
        2.02562,
        2.06851,
        2.0427,
        2.06519,
        2.12497,
        2.14084,
        2.09024,
        2.08858,
        2.11215,
        2.06991,
        2.05493,
        2.07437,
        2.06842,
        2.034,
        2.04053,
        1.96233,
        1.98001,
        2.03892,
        2.05329,
        2.03305,
        2.01619,
        2.04176,
        2.11716,
        2.13918,
        2.11897,
        2.10517,
        2.14179,
        2.11744,
        2.11419,
        2.11812,
        2.09406,
        2.07812,
        2.06993,
        2.05244,
        2.05031,
        1.99323,
        1.93959,
        2.06577,
        1.94801,
        1.86084,
        1.99718,
        2.09028,
        2.09996,
        2.04483,
        2.01518,
        2.03019,
        2.12928,
        2.11637,
        2.03071,
        1.98299,
        2.06885,
        2.1229,
        2.08954,
        2.07181,
        2.07085,
        2.05311,
        2.10743,
        2.1324,
        2.10568,
        2.09848,
        2.06924,
        2.05784,
        2.08412,
        2.07631,
        2.02775,
        2.11341,
        2.16529,
        2.11618,
        2.05529,
        2.07259,
        2.18836,
        2.18213,
        2.14283,
        2.11695,
        2.12702,
        2.16179,
        2.19871,
        2.09636,
        1.99279,
        2.03745,
        2.09923,
        2.16075,
        2.1046,
        2.09653,
        2.06625,
        2.05434,
        2.11914,
        2.0976,
        2.14407,
        2.09975,
        2.13827,
        2.08756,
        2.0161,
        2.12098,
        2.13004,
        2.12941,
        2.14766,
        2.15756,
        2.19031,
        2.15935,
        2.15064,
        2.20009,
        2.13748,
        2.09231,
        2.07066,
        2.14651,
        2.14727,
        2.16921,
        2.19335,
        2.25753,
        2.24845,
        2.18569,
        2.16082,
        2.14494,
        2.22368,
        2.15989,
        2.09797,
        2.11566,
        2.0857,
        2.10833,
        2.113,
        2.14352,
        2.15474,
        2.14194,
        2.18251,
        2.14488,
        2.1653,
        2.16873,
        2.13215,
        2.12765,
        2.09362,
        2.16211,
        2.20087,
        2.24109,
        2.2043,
        2.20544,
        2.24946,
        2.25926,
        2.25558,
        2.27491,
        2.22671,
        2.1079,
        2.13597,
        2.16671,
        2.16905,
        2.17216,
        2.20732,
        2.15371,
        2.1905,
        2.21967,
        2.22656,
        2.30876,
        2.29968,
        2.30145,
        2.24606,
        2.22075,
        2.34887,
        2.27473,
        2.38156,
        2.40934,
        2.41831,
        2.42056,
        2.44491,
        2.47882,
        2.52315,
        2.45825,
        2.46758,
        2.44182,
        2.41961,
        2.39093,
        2.44733,
        2.43925,
        2.43003,
        2.49561,
        2.41985,
        2.35456,
        2.31882,
        2.45537,
        2.41642,
        2.33597,
        2.39191,
        2.28845,
        2.36032,
        2.00536,
        2.31883,
        2.52157,
        2.32974,
        2.15596,
        2.31615,
        2.22519,
        2.21283,
        2.1688,
        2.11667,
        2.18787,
        2.2775,
        2.32552,
        2.2582,
        2.22269,
        2.19812,
        2.1918,
        2.21444,
        2.20561,
        2.22237,
        2.17711,
        2.12979,
        2.17872,
        2.19475,
        2.15027,
        2.14091,
        2.18284,
        2.20912,
        2.1731,
        2.21518,
        2.19103,
        2.1569,
        2.14399,
        2.09471,
        2.18011,
        2.19007,
        2.12065,
        2.11011,
        2.09029,
        2.1061,
        2.09618,
        2.13399,
        2.02242,
        2.02655,
        2.05481,
        2.02804,
        2.07852,
        2.07195,
        2.03317,
        2.03868,
        2.15079,
        2.04534,
        2.05814,
        2.06612,
        2.1103,
        2.08776,
        2.05588,
        2.06074,
        2.04826,
        2.01369,
        2.02483,
        2.01885,
        2.06414,
        2.04297,
        2.00942,
        2.05248,
        2.02181,
        1.97212,
        2.01136,
        2.12584,
        2.05777,
        2.0853,
        2.16849,
        2.12033,
        2.05229,
        2.0713,
        2.13941,
        2.09195,
        1.90988,
        1.9672,
        1.94233,
        1.89075,
        2.03816,
        2.25348,
        2.18441,
        2.22907,
        2.1488,
        2.13323,
        2.0669,
        2.03686,
        2.00186,
        2.1249,
        2.1923,
        2.02547,
        2.09895,
        2.13543,
        2.15929,
        2.08682,
        2.0562,
        1.97622,
        2.05216,
        2.14234,
        2.16783,
        2.10921,
        2.10597,
        2.18342,
        2.15905,
        2.13508,
        2.15602,
        2.17716,
        2.19181,
        2.15594,
        2.23457,
        2.175,
        2.15442,
        2.13823,
        2.0575,
        2.03013,
        2.22133,
        2.0887,
        2.21815,
        2.15546,
        2.12643,
        2.18925,
        2.10253,
        2.21407,
        2.25918,
        2.11593,
        2.14939,
        2.06324,
        2.16569,
        1.99204,
        1.98748,
        2.05682,
        2.17967,
        2.11675,
        2.10795,
        2.08614,
        2.07425,
        2.05075,
        1.89741,
        1.99531,
        2.00084,
        2.1571,
        2.33749,
        2.6077,
        1.74143,
        2.11008,
        2.24089,
        2.11794,
        2.05632,
        2.13575,
        2.11665,
        2.10008,
        2.12217,
        2.07624,
        2.06366,
        2.18138,
        2.20868,
        2.14446,
        2.05622,
        2.15736,
        2.14462,
        2.01289,
        1.97911,
        2.12043,
        2.13501,
        1.99448,
        2.01935,
        2.08869,
        2.11255,
        2.11122,
        2.16632,
        2.15719,
        2.15113,
        2.10179,
        2.06669,
        2.06841,
        2.10854,
        2.15353,
        2.08779,
        2.09279,
        2.13944,
        2.11113,
        2.08395,
        2.0512,
        2.06802,
        2.07023,
        2.15469,
        2.03502,
        2.04039,
        2.0778,
        2.08873,
        2.07515,
        2.14328,
        2.15091,
        2.08456,
        2.0663,
        2.13926,
        2.09941,
        2.08073,
        2.0367,
        2.11241,
        2.02086,
        2.05652,
        2.12339,
        2.15772,
        2.1076,
        2.05822,
        2.09179,
        1.99162,
        2.01015,
        2.06097,
        2.09628,
        2.07307,
        2.12089,
        2.14697,
        2.05451,
        2.03403,
        2.09583,
        2.1139,
        2.11634,
        2.12173,
        2.0735,
        2.05168,
        2.07025,
        2.08571,
        2.09396,
        2.11256,
        2.11773,
        2.05183,
        2.09011,
        2.0401,
        2.02947,
        2.02406,
        2.01871,
        2.01294,
        2.05668,
        2.07966,
        2.06148,
        2.05724,
        2.07941,
        2.1005,
        2.08369,
        2.02165,
        2.07049,
        2.10573,
        2.1398,
        2.02928,
        1.98967,
        2.10223,
        2.0921,
        2.11813,
        2.0231,
        2.05892,
        2.05433,
        2.02619,
        2.05726,
        2.07459,
        2.09056,
        1.9877,
        2.05484,
        2.06785,
        2.06767,
        2.05388,
        2.03134,
        2.00031,
        2.0461,
        1.97843,
        2.07736,
        2.03379,
        1.98006,
        1.99901,
        2.16393,
        2.12956,
        2.13278,
        2.08245,
        2.10839,
        2.11632,
        2.09661,
        2.03103,
        2.05267,
        2.09326,
        2.09102,
        2.04869,
        2.02977,
        2.01694,
        2.02931,
        2.01536,
        2.07446,
        2.09619,
        2.03715,
        2.08874,
        2.03408,
        2.06739,
        2.04713,
        2.02478,
        2.03861,
        2.05902,
        2.01225,
        2.07424,
        2.05052,
        2.08421,
        2.11956,
        2.09818,
        2.1153,
        2.07716,
        2.07784,
        2.0171,
        2.10329,
        2.09353,
        2.20227,
        2.02896,
        2.07236,
        2.11899,
        2.12819,
        2.09302,
        2.04718,
        2.08531,
        2.09503,
        2.10644,
        2.11602,
        2.12659,
        2.04024,
        1.99177,
        2.10961,
        2.15308,
        2.04363,
        2.02424,
        2.06556,
        2.03241,
        1.98035,
        2.01339,
        2.03342,
        2.1081,
        2.14935,
        2.07245,
        2.01143,
        2.02736,
        2.03091,
        2.10386,
        2.14745,
        2.1206,
        2.04961,
        2.03524,
        2.01271,
        2.06135,
        2.08131,
        2.09241,
        2.08868,
        2.06941,
        2.09614,
        2.06635,
        2.07776,
        2.032,
        1.9822,
        2.07465,
        2.12884,
        2.06497,
        2.00978,
        2.09168,
        2.08259,
        2.05258,
        2.09244,
        2.08482,
        2.12755,
        2.12813,
        2.12082,
        2.12212,
        2.1054,
        2.05546,
        2.07974,
        2.11332,
        2.17709,
        2.19881,
        2.13174,
        2.12471,
        2.07779,
        2.14122,
        2.18549,
        2.20951,
        2.21925,
        2.19655,
        2.20668,
        2.20014,
        2.20877,
        2.18965,
        2.11766,
        2.25452,
        2.21365,
        2.2222,
        2.25278,
        2.24187,
        2.23119,
        2.19845,
        2.17699,
        2.21054,
        2.19082,
        2.20873,
        2.20345,
        2.22681,
        2.22292,
        2.14075,
        2.18289,
        2.2345,
        2.20589,
        2.26124,
        2.21912,
        2.23711,
        2.22828,
        2.17792,
        2.16705,
        2.12572,
        2.12323,
        2.19244,
        2.21445,
        2.18298,
        2.30002,
        2.39029,
        2.25774,
        2.24624,
        2.26225,
        2.31949,
        2.31507,
        2.32396,
        2.35492,
        2.34629,
        2.37258,
        2.38363,
        2.39806,
        2.40131,
        2.38376,
        2.41762,
        2.46709,
        2.4663,
        2.38015,
        2.45043,
        2.46848,
        2.46246,
        2.4604,
        2.45577,
        2.51413,
        2.41177,
        2.5553,
        2.41647,
        2.31257,
        2.34763,
        2.29904,
        2.12622,
        2.26475,
        2.2755,
        2.55002,
        2.42756,
        2.37343,
        2.58727,
        2.5627,
        2.06216,
        2.31611,
        2.14332,
        2.27178,
        2.22934,
        2.31448,
        2.20349,
        2.15893,
        2.1985,
        2.20496,
        2.08367,
        2.10449,
        2.0821,
        2.17969,
        2.23159,
        2.28784,
        2.15897,
        2.08297,
        2.22825,
        2.20618,
        2.18633,
        2.30628,
        2.14515,
        2.28009,
        2.18943,
        2.20288,
        2.09725,
        2.06762,
        2.14686,
        2.21245,
        2.09527,
        2.14474,
        2.19177,
        1.95694,
        2.01974,
        2.19967,
        1.76329,
        2.10631,
        2.17569,
        2.09549,
        2.00466,
        2.3733,
        2.05427,
        2.06681,
        2.19506,
        1.98762,
        2.05109,
        2.03102,
        2.1195,
        2.15569,
        2.19424,
        2.22637,
        1.8958,
        1.99013,
        2.24718,
        2.00882,
        2.27871,
        1.75046,
        1.8347,
        2.00365,
        2.39126,
        2.01716,
        2.03973,
        2.02105,
        1.84763,
        2.14086,
        2.16342,
        1.95715,
        2.08521,
        2.02993,
        2.09529,
        2.11876,
        1.9432,
        2.00177,
        2.10053,
        2.13146,
        2.12928,
        2.06327,
        2.08389,
        2.13527,
        2.13126,
        2.02403,
        2.01059,
        2.14227,
        2.07923,
        2.02307,
        2.1956,
        2.17885,
        2.08397,
        2.07147,
        2.12461,
        2.13048,
        2.07067,
        2.00893,
        2.14047,
        2.05465,
        2.02431,
        2.01369,
        2.07057,
        2.10396,
        2.07044,
        2.0455,
        2.05156,
        2.07649,
        1.99484,
        2.08772,
        2.01726,
        2.04068,
        2.03087,
        2.05121,
        2.06568,
        2.06276,
        2.06881,
        2.05889,
        2.10835,
        2.07366,
        2.10192,
        2.09893,
        2.12108,
        2.07047,
        2.02822,
        2.06498,
        2.09283,
        2.06141,
        2.06256,
        1.99837,
        2.02589,
        2.14526,
        2.26038,
        2.26006,
        2.09492,
        2.06997,
        2.09893,
        2.03097,
        2.04578,
        2.0526,
        2.09624,
        2.10151,
        2.05091,
        2.10911,
        2.08548,
        2.10634,
        2.12432,
        2.11437,
        2.09629,
        2.1211,
        2.16317,
        2.15555,
        2.12948,
        2.10702,
        2.06482,
        2.11643,
        2.08588,
        2.00785,
        2.11946,
        2.13714,
        2.09104,
        2.0311,
        2.05979,
        2.08339,
        2.12136,
        2.03568,
        2.05397,
        2.08539,
        2.09041,
        2.07586,
        2.08012,
        2.09803,
        2.11344,
        2.06779,
        2.1123,
        2.03606,
        2.09892,
        2.13169,
        2.10108,
        2.11921,
        2.1228,
        2.09489,
        2.07446,
        2.20719,
        2.18986,
        2.17398,
        2.19318,
        2.11556,
        2.02739,
        2.01271,
        1.96329,
        2.0618,
        2.09311,
        1.94755,
        2.49736,
        2.10076,
        1.92453,
        2.0311,
        2.12594,
        2.10371,
        2.04973,
        2.10124,
        2.22624,
        2.14023,
        2.03206,
        2.13309,
        2.13964,
        2.08554,
        2.10418,
        2.08292,
        2.03599,
        2.10304,
        2.08496,
        2.12821,
        2.07698,
        2.01033,
        2.03056,
        2.00311,
        2.02153,
        2.12824,
        2.20314,
        2.14001,
        2.0368,
        2.06275,
        2.12656,
        1.95995,
        2.01764,
        2.12249,
        2.13471,
        2.06009,
        2.06504,
        2.08852,
        2.05857,
        2.06852,
        2.08823,
        2.10295,
        2.07033,
        2.15435,
        2.14666,
        2.09957,
        2.10627,
        2.08887,
        2.04998,
        2.06726,
        2.1312,
        2.13747,
        2.0887,
        2.11738,
        2.04807,
        2.13817,
        2.08333,
        2.08602,
        2.04744,
        2.0793,
        2.07472,
        2.05925,
        2.1105,
        2.09258,
        2.12537,
        2.0661,
        2.05499,
        2.07992,
        2.04907,
        2.08661,
        2.15396,
        2.1633,
        2.11917,
        2.07722,
        2.09548,
        2.10245,
        2.11704,
        2.11261,
        2.0758,
        2.04833,
        2.12837,
        2.10455,
        2.09473,
        2.1677,
        2.15699,
        2.09957,
        2.10985,
        2.06023,
        2.09236,
        2.10294,
        2.07923,
        2.08606,
        2.08171,
        2.09512,
        2.06719,
        2.12124,
        2.15229,
        2.057,
        2.08203,
        2.03801,
        2.00398,
        2.11129,
        2.08016,
        1.98846,
        1.99684,
        2.02043,
        2.0632,
        1.99388,
        1.98562,
        2.05691,
        2.05867,
        2.11586,
        2.09,
        2.07474,
        2.13382,
        2.12029,
        2.10495,
        2.14096,
        2.00212,
        2.0832,
        2.02939,
        1.9387,
        2.20689,
        2.23208,
        1.97723,
        2.02887,
        2.03886,
        2.12631,
        2.06318,
        2.13399,
        2.13173,
        2.02714,
        1.90848,
        2.04638,
        2.01333,
        2.44951,
        2.45374,
        2.24281,
        2.58286,
        2.11511,
        2.00692,
        2.20098,
        2.0664,
        2.08433,
        2.20342,
        2.10479,
        2.08063,
        2.06541,
        2.017,
        2.00397,
        2.09532,
        2.10656,
        2.05173,
        2.05367,
        2.07962,
        2.08161,
        2.177,
        2.1356,
        1.99791,
        2.00775,
        2.21096,
        2.23005,
        2.24277,
        2.03049,
        2.25028,
        2.25227,
        2.23043,
        2.20629,
        2.17262,
        2.32866,
        1.92746,
        2.57082,
        2.45806,
        2.2489,
        2.15694,
        2.11236,
        2.26061,
        2.18951,
        2.09916,
        2.16767,
        2.11335,
        2.07362,
        2.23275,
        2.15175,
        2.28466,
        2.1787,
        2.16496,
        2.15107,
        2.21842,
        2.18936,
        2.23262,
        2.21183,
        2.20407,
        2.25563,
        2.20345,
        2.19448,
        2.17301,
        2.19959,
        2.23397,
        2.25197,
        2.22424,
        2.21634,
        2.18754,
        2.25687,
        2.19559,
        2.18037,
        2.17969,
        2.1153,
        2.03529,
        1.99474,
        2.01888,
        2.02905,
        2.07889,
        2.1248,
        2.06765,
        2.20702,
        2.31519,
        2.27859,
        2.2556,
        2.26409,
        2.27633,
        2.2733,
        2.29706,
        2.30533,
        2.32932,
        2.2942,
        2.38042,
        2.36524,
        2.39801,
        2.37773,
        2.37397,
        2.39014,
        2.50207,
        2.40359,
        2.39901,
        2.38221,
        2.46158,
        2.37107,
        2.36454,
        2.38615,
        2.39251,
        2.45518,
        2.35423,
        2.29851,
        2.20763,
        2.42273,
        2.39276,
        2.3997,
        2.39672,
        2.1206,
        2.2555,
        2.38105,
        2.35518,
        2.31074,
        2.44987,
        2.25028,
        2.01201,
        2.35717,
        2.44376,
        2.40206,
        2.3332,
        2.1912,
        2.26219,
        2.26037,
        2.25882,
        2.12884,
        2.25178,
        2.26856,
        2.22482,
        2.15762,
        2.06833,
        2.07067,
        2.08932,
        2.12766,
        2.23555,
        2.18959,
        2.09659,
        2.19507,
        2.1394,
        2.13338,
        2.15734,
        2.16563,
        2.09593,
        2.11887,
        2.01906,
        2.12444,
        2.07204,
        2.16612,
        2.26537,
        2.20887,
        2.12435,
        2.16653,
        2.10535,
        2.0659,
        2.08164,
        2.10572,
        2.1761,
        2.19887,
        2.2041,
        2.11682,
        2.1391,
        2.18541,
        2.13511,
        2.15573,
        2.10415,
        2.06662,
        2.07495,
        2.08306,
        2.02057,
        2.121,
        2.16096,
        2.09894,
        2.1396,
        2.09013,
        2.14657,
        2.13091,
        2.09192,
        2.10848,
        2.1537,
        2.14689,
        2.13875,
        2.13482,
        2.09026,
        2.09599,
        2.09308,
        2.15429,
        2.07546,
        2.1121,
        2.1289,
        2.08451,
        2.06978,
        2.13208,
        2.12722,
        2.08115,
        2.10251,
        2.12531,
        2.0838,
        2.11217,
        2.17703,
        2.15552,
        2.12069,
        2.08325,
        2.12275,
        2.1021,
        2.04483,
        2.10997,
        2.108,
        2.12172,
        2.04155,
        2.21147,
        2.28174,
        2.20663,
        2.09215,
        1.9346,
        2.14435,
        2.2658,
        2.30403,
        2.31716,
        1.90133,
        2.14283,
        2.15692,
        2.06533,
        2.11317,
        2.15451,
        2.28353,
        2.18764,
        2.11728,
        2.08976,
        1.98218,
        2.02272,
        2.0497,
        2.05673,
        2.06647,
        2.10407,
        2.04904,
        2.09941,
        2.16181,
        2.05402,
        2.05739,
        2.13058,
        2.07995,
        2.11444,
        2.08881,
        2.094,
        2.08701,
        2.13246,
        2.14055,
        2.15085,
        2.10429,
        2.0998,
        2.11915,
        2.09164,
        2.09189,
        2.09163,
        2.10545,
        2.0946,
        2.11266,
        2.07665,
        2.04407,
        2.09735,
        2.01676,
        2.03764,
        2.11061,
        2.08627,
        2.10965,
        2.11124,
        2.09252,
        2.09187,
        2.05224,
        1.96907,
        2.01417,
        2.08966,
        1.96828,
        1.98424,
        2.02474,
        1.93336,
        2.09564,
        2.06565,
        2.05212,
        2.05371,
        2.06929,
        2.14471,
        2.06712,
        2.06798,
        2.01189,
        2.14633,
        2.16452,
        2.19524,
        1.99048,
        2.10989,
        2.17184,
        2.10641,
        2.04776,
        2.03727,
        2.13747,
        1.9986,
        2.04166,
        2.08409,
        2.1461,
        2.01631,
        2.04323,
        2.05443,
        2.08151,
        2.06009,
        2.08264,
        2.02757,
        2.06959,
        2.08722,
        2.03815,
        2.01862,
        2.06684,
        2.05292,
        2.06582,
        1.97274,
        2.08167,
        2.07324,
        2.06999,
        2.09373,
        2.05934,
        2.08693,
        2.14343,
        2.04514,
        2.02407,
        1.99994,
        2.00819,
        2.03923,
        2.08425,
        2.00878,
        2.09647,
        2.05697,
        2.01346,
        2.09682,
        2.06296,
        2.05015,
        2.03559,
        2.07251,
        2.06363,
        2.05375,
        2.09038,
        2.10124,
        2.04407,
        1.99678,
        2.05213,
        2.06662,
        2.0489,
        2.02005,
        2.07138,
        2.06415,
        2.08067,
        2.00625,
        2.12442,
        2.14785,
        2.06836,
        2.04707,
        2.0001,
        2.11616,
        2.16165,
        2.13372,
        2.04033,
        2.05405,
        2.09245,
        2.12678,
        2.1183,
        2.14365,
        2.07737,
        2.05514,
        2.05344,
        2.10633,
        2.11183,
        2.10021,
        2.09283,
        2.13326,
        2.13695,
        2.13229,
        2.1919,
        2.1535,
        2.09698,
        2.15742,
        2.1737,
        2.16818,
        2.15749,
        2.01518,
        2.12224,
        2.13013,
        2.09108,
        2.05647,
        2.09353,
        2.07608,
        2.09789,
        2.14705,
        2.18803,
        2.27573,
        2.15553,
        2.11416,
        2.07285,
        2.19204,
        2.25,
        2.22358,
        2.23029,
        2.16948,
        1.97045,
        1.94485,
        2.43623,
        2.39669,
        1.96748,
        2.31739,
        2.18543,
        2.04391,
        1.998,
        2.07523,
        2.06917,
        2.06429,
        2.17359,
        2.13488,
        2.11232,
        2.14571,
        2.15212,
        2.09392,
        2.1348,
        2.10281,
        2.04,
        2.08396,
        2.09884,
        2.05907,
        2.07316,
        2.15495,
        2.14323,
        1.91345,
        2.02211,
        2.10306,
        1.98272,
        2.09043,
        1.93696,
        2.16411,
        2.15968,
        2.1439,
        2.09139,
        2.07978,
        2.09824,
        2.10336,
        1.99559,
        2.06471,
        2.12029,
        2.09959,
        2.04232,
        2.08335,
        2.14594,
        2.15778,
        2.07362,
        2.06546,
        2.09639,
        2.10287,
        2.08403,
        2.0863,
        2.16359,
        2.09527,
        2.10659,
        2.13437,
        2.06351,
        2.13192,
        2.18849,
        2.20754,
        2.08829,
        2.05593,
        2.08897,
        2.15963,
        1.97268,
        2.11678,
        2.10774,
        1.96901,
        2.03164,
        2.01898,
        2.0411,
        2.0881,
        2.14714,
        2.1729,
        2.18445,
        2.16296,
        2.09038,
        2.05822,
        2.0922,
        2.05285,
        2.04596,
        2.11394,
        2.13797,
        2.09794,
        2.13459,
        2.04105,
        2.01979,
        2.0787,
        2.05195,
        2.06111,
        2.12455,
        2.15297,
        2.03062,
        2.10084,
        2.08098,
        2.03601,
        2.03452,
        2.01681,
        2.07534,
        2.08518,
        2.01279,
        2.13346,
        2.17618,
        2.07753,
        1.99219,
        2.10378,
        2.06014,
        2.10104,
        2.16407,
        2.06754,
        1.97191,
        2.01851,
        2.08107,
        2.06946,
        2.07554,
        2.04975,
        2.05534,
        1.98676,
        2.00256,
        2.00617,
        2.09741,
        2.01745,
        2.04074,
        1.95346,
        2.04088,
        2.11372,
        2.1076,
        2.02013,
        2.07765,
        2.07145,
        2.04962,
        2.05434,
        2.09943,
        2.09002,
        2.10076,
        2.00215,
        2.0598,
        2.06266,
        2.02018,
        2.07324,
        2.12172,
        2.07226,
        2.06746,
        2.1809,
        2.06147,
        2.14355,
        2.19745,
        2.21612,
        2.15872,
        2.16379,
        2.09028,
        2.10943,
        2.17618,
        2.16441,
        2.12614,
        2.03753,
        2.10173,
        2.14534,
        2.23986,
        2.17648,
        2.14039,
        1.99882,
        2.2009,
        2.27318,
        2.18579,
        2.08183,
        2.11008,
        2.10826,
        2.10655,
        2.16536,
        2.17192,
        2.07664,
        2.12381,
        2.19436,
        2.21823,
        2.14834,
        2.07299,
        2.16831,
        2.34392,
        2.30482,
        2.27523,
        2.11507,
        2.14949,
        2.28707,
        2.27839,
        2.16185,
        2.26448,
        1.93265,
        1.98245,
        1.95909,
        2.29334,
        2.89253,
        2.53588,
        2.54174,
        1.96304,
        2.05047,
        2.14337,
        2.52361,
        2.4468,
        2.33225,
        2.23942,
        2.5222,
        2.50519,
        2.47813,
        2.38977,
        2.40613,
        2.44501,
        2.43026,
        2.40459,
        2.36914,
        2.42416,
        2.40297,
        2.40669,
        2.43424,
        2.47013,
        2.54106,
        2.381,
        2.38533,
        2.35042,
        2.38758,
        2.33291,
        2.35818,
        2.33655,
        2.46915,
        2.28909,
        2.6269,
        2.00373,
        2.24475,
        2.45604,
        2.40475,
        2.73301,
        2.54197,
        2.46919,
        2.02323,
        2.1376,
        2.34028,
        1.91072,
        2.26431,
        2.13915,
        2.01546,
        2.68766,
        2.22844,
        2.21878,
        2.08389,
        2.21727,
        2.29864,
        2.17882,
        2.27882,
        2.19443,
        2.20388,
        2.2302,
        2.16745,
        2.22142,
        2.30068,
        2.21784,
        2.15263,
        2.20424,
        2.21011,
        2.27034,
        2.16286,
        2.16186,
        2.0764,
        2.07886,
        2.15516,
        2.29393,
        2.21506,
        2.09228,
        2.14992,
        2.11379,
        2.10584,
        2.24287,
        2.09548,
        2.10405,
        2.10374,
        2.12843,
        2.13703,
        2.17812,
        2.15461,
        2.10847,
        2.09421,
        2.13812,
        2.04241,
        2.13687,
        2.14727,
        2.08874,
        2.20991,
        2.11426,
        2.06968,
        2.08567,
        2.1181,
        2.10538,
        2.07644,
        2.12476,
        2.01436,
        2.08451,
        1.99731,
        1.99519,
        2.01327,
        2.17064,
        2.073,
        2.16208,
        2.04969,
        2.04045,
        2.09676,
        2.21533,
        2.12748,
        2.15602,
        2.13608,
        2.15203,
        2.02991,
        2.09453,
        2.18346,
        2.08646,
        2.08707,
        2.09405,
        2.09922,
        2.00702,
        2.07172,
        2.12583,
        2.0557,
        2.06692,
        2.06699,
        1.93552,
        2.16409,
        1.9886,
        2.07851,
        2.12355,
        2.139,
        2.15547,
        2.1081,
        2.08824,
        2.04393,
        1.97011,
        2.08927,
        2.14853,
        2.19019,
        2.10641,
        2.09699,
        2.1483,
        2.18911,
        2.0931,
        2.18221,
        2.19049,
        2.08759,
        2.07986,
        2.21731,
        2.05494,
        1.99752,
        2.10262,
        2.23121,
        2.17997,
        2.16499,
        2.16995,
        2.18022,
        2.09894,
        2.03616,
        2.0132,
        2.11463,
        2.19813,
        2.07665,
        2.01624,
        2.16453,
        2.22688,
        2.02504,
        2.19002,
        2.44734,
        2.10569,
        2.0131,
        2.12304,
        1.96699,
        1.86859,
        2.05805,
        2.32864,
        1.88898,
        2.11353,
        2.04526,
        2.13863,
        1.72882,
        1.87691,
        2.13473,
        2.28092,
        2.33547,
        2.14604,
        2.14049,
        1.98617,
        2.09299,
        2.20941,
        2.05471,
        2.05103,
        2.22407,
        2.11627,
        2.18915,
        2.23712,
        2.07127,
        2.09877,
        2.12665,
        2.08152,
        1.94477,
        2.09535,
        2.09283,
        2.05392,
        2.10405,
        2.06708,
        2.01182,
        2.07022,
        1.93394,
        null,
        2.48298,
        2.57842,
        2.11108,
        1.80577,
        2.00662,
        2.22903,
        2.36447,
        2.32505,
        2.37096,
        2.00848,
        2.06599,
        2.34785,
        2.06082,
        2.06563,
        2.22255,
        2.2089,
        1.94387,
        1.65758,
        2.26755,
        3.44456,
        2.67669,
        2.65467,
        null,
        1.83661,
        2.17341,
        2.19697,
        2.03811,
        2.0687,
        1.94806,
        2.24124,
        2.19657,
        2.30996,
        2.05079,
        1.97827,
        2.05821,
        2.17218,
        2.182,
        2.21141,
        2.12526,
        2.02188,
        2.04515,
        2.0316,
        2.0088,
        2.01619,
        2.05202,
        2.17287,
        2.11311,
        2.13781,
        2.19143,
        2.14924,
        2.14407,
        2.18331,
        2.16406,
        2.10506,
        2.18629,
        2.09654,
        2.07859,
        2.13518,
        2.10993,
        2.1046,
        2.14776,
        2.1626,
        2.08718,
        2.11766,
        2.12914,
        2.0826,
        2.08394,
        2.01786,
        2.00831,
        2.09518,
        2.12377,
        2.06903,
        2.0764,
        2.01313,
        2.10249,
        2.06384,
        2.02552,
        1.93352,
        1.93109,
        2.03795,
        2.0718,
        2.08147,
        2.11532,
        2.17993,
        2.1309,
        2.05285,
        2.04916,
        2.009,
        2.0744,
        2.07699,
        2.12222,
        2.04803,
        2.09251,
        2.10219,
        2.12595,
        2.09753,
        2.08862,
        2.05188,
        2.10561,
        2.09492,
        2.10451,
        2.11839,
        2.05707,
        2.0361,
        2.07425,
        2.09854,
        2.18272,
        2.1728,
        2.11636,
        2.06186,
        2.04061,
        2.04861,
        2.12942,
        2.1603,
        2.09017,
        2.1242,
        2.04227,
        2.12121,
        2.2134,
        2.14728,
        2.16126,
        2.15035,
        2.12131,
        2.16085,
        2.1676,
        2.1824,
        2.09378,
        2.21455,
        1.98034,
        1.9927,
        2.1037,
        2.12829,
        2.05492,
        2.06729,
        2.14382,
        2.14774,
        2.17779,
        2.1067,
        2.18243,
        2.09912,
        2.10222,
        2.08212,
        2.07544,
        2.05227,
        2.06345,
        2.10372,
        2.08066,
        2.08436,
        2.09512,
        2.1022,
        2.02883,
        2.0096,
        2.06906,
        2.05578,
        2.0655,
        2.09469,
        2.0816,
        2.11536,
        2.11922,
        2.22106,
        2.18995,
        2.17353,
        2.20284,
        2.10056,
        2.1078,
        2.08488,
        2.09438,
        2.10362,
        2.09928,
        2.10635,
        2.11578,
        2.12007,
        2.15827,
        2.14491,
        2.08616,
        2.10113,
        2.15562,
        2.11367,
        2.08925,
        2.02563,
        2.10665,
        2.13208,
        2.07754,
        2.06924,
        2.19379,
        2.29889,
        2.15162,
        2.07024,
        2.21681,
        2.0357,
        1.98021,
        2.03983,
        2.08451,
        2.01188,
        2.02791,
        2.08487,
        2.04321,
        2.04488,
        2.03804,
        2.04894,
        2.07752,
        2.09201,
        2.08484,
        2.06552,
        2.06589,
        2.0422,
        2.05202,
        2.12162,
        2.09809,
        2.13544,
        2.10591,
        2.05199,
        1.97241,
        1.99087,
        2.08375,
        2.07289,
        2.07561,
        2.045,
        2.06627,
        2.09655,
        2.12449,
        2.17796,
        2.16209,
        2.1554,
        2.13366,
        2.09273,
        2.09959,
        2.1195,
        2.08989,
        2.15699,
        2.16115,
        2.16999,
        2.15464,
        2.11444,
        2.10501,
        2.18063,
        2.09898,
        2.10668,
        2.11381,
        2.11681,
        2.18967,
        2.24126,
        2.26741,
        2.16532,
        2.14686,
        2.15995,
        2.1988,
        2.18364,
        2.08548,
        2.1755,
        2.23277,
        2.15283,
        2.09739,
        2.07221,
        2.04517,
        2.1787,
        2.17627,
        2.16863,
        2.12855,
        2.1049,
        2.0301,
        2.02726,
        2.03064,
        2.05584,
        2.06993,
        2.03504,
        2.0352,
        1.96962,
        2.07615,
        2.10304,
        2.00292,
        1.95352,
        2.09328,
        2.13595,
        2.09346,
        1.94643,
        2.03837,
        2.1364,
        2.25369,
        2.18691,
        2.07655,
        2.12833,
        2.08724,
        2.13657,
        2.08546,
        2.07333,
        2.07194,
        2.02793,
        2.10425,
        1.8794,
        2.06283,
        2.15701,
        2.08965,
        1.74611,
        2.30332,
        2.44559,
        2.57298,
        1.97784,
        1.98281,
        1.85031,
        2.10525,
        2.14917,
        2.22612,
        2.06518,
        2.2119,
        2.11041,
        1.97833,
        1.99592,
        2.16466,
        2.14008,
        2.04475,
        2.07529,
        2.26757,
        2.24558,
        2.17661,
        2.23651,
        2.15025,
        2.09517,
        2.1645,
        2.21628,
        2.27375,
        2.22029,
        2.28793,
        2.21333,
        2.20685,
        2.21348,
        2.3217,
        2.29061,
        2.2198,
        2.19448,
        2.27225,
        2.22879,
        2.22968,
        2.19312,
        2.18006,
        2.38404,
        2.32727,
        2.27567,
        2.17101,
        2.23781,
        2.09488,
        2.43043,
        2.38822,
        2.40042,
        2.14933,
        2.3627,
        2.15235,
        2.09387,
        2.1238,
        2.19657,
        2.16035,
        2.15203,
        2.29718,
        2.26841,
        2.28418,
        2.35725,
        2.36667,
        2.42407,
        2.31704,
        2.37417,
        2.38837,
        2.43521,
        2.42836,
        2.42229,
        2.44634,
        2.51481,
        2.46117,
        2.48545,
        2.56638,
        2.59359,
        2.51493,
        2.61919,
        2.47616,
        2.45784,
        2.47003,
        2.45298,
        2.4228,
        2.43476,
        2.51245,
        2.49165,
        2.52456,
        2.48108,
        2.42393,
        2.44582,
        2.44172,
        2.43031,
        2.46785,
        2.57883,
        2.38322,
        2.39365,
        2.36534,
        2.44298,
        2.4587,
        2.06576,
        2.16125,
        2.31427,
        2.5341,
        2.47277,
        2.29031,
        2.17972,
        2.35559,
        2.34613,
        2.28004,
        2.13527,
        2.18136,
        2.22693,
        2.2672,
        2.29634,
        2.29445,
        2.24524,
        2.27129,
        2.23989,
        2.23311,
        2.19592,
        2.19065,
        2.27085,
        2.14193,
        2.21916,
        2.25665,
        2.23435,
        2.16819,
        2.13045,
        2.09221,
        2.08639,
        2.21108,
        2.15852,
        2.14365,
        2.13653,
        2.18512,
        2.19566,
        2.18968,
        2.14035,
        2.19715,
        2.0964,
        2.16558,
        2.23218,
        2.08826,
        2.06769,
        2.19243,
        2.11773,
        2.1436,
        2.1817,
        2.14696,
        2.19023,
        2.23522,
        2.11898,
        2.15389,
        2.23134,
        2.2023,
        2.13829,
        2.15697,
        2.08953,
        2.08847,
        2.1974,
        2.14358,
        2.16185,
        2.21851,
        2.15153,
        2.11532,
        2.12392,
        2.12913,
        2.13149,
        2.0783,
        2.0694,
        2.09506,
        2.1564,
        2.11282,
        2.01402,
        2.11722,
        2.1369,
        2.00648,
        1.89935,
        1.85682,
        2.15322,
        1.98225,
        2.01321,
        2.1773,
        2.18328,
        1.91858,
        1.83788,
        1.96804,
        2.1749,
        2.15584,
        2.26023,
        2.10046,
        2.17085,
        2.15084,
        2.17645,
        2.15962,
        2.15797,
        2.10206,
        2.12629,
        2.10489,
        2.11671,
        2.0794,
        2.15506,
        2.08856,
        2.12024,
        2.05944,
        2.09988,
        2.20222,
        2.22658,
        2.18227,
        2.05041,
        2.03563,
        1.95643,
        2.00073,
        2.01778,
        2.0098,
        2.01279,
        2.28404,
        2.06413,
        2.26818,
        2.26703,
        1.93418,
        2.07291,
        2.13701,
        2.15727,
        2.11119,
        2.17779,
        2.21795,
        2.2448,
        2.15274,
        2.12949,
        2.11387,
        2.17103,
        2.18069,
        2.1267,
        2.10419,
        2.15929,
        2.06276,
        2.15727,
        2.20641,
        2.15278,
        2.17693,
        2.15266,
        2.12101,
        2.12297,
        2.20942,
        2.13977,
        2.07953,
        2.08533,
        2.18182,
        2.15336,
        2.09564,
        2.1381,
        2.15797,
        2.2339,
        2.15712,
        2.14707,
        2.08349,
        2.08773,
        2.11318,
        2.11669,
        2.10233,
        2.11382,
        2.14815,
        2.08647,
        2.06997,
        2.12901,
        2.10923,
        2.13412,
        2.13086,
        2.16462,
        2.19202,
        2.1281,
        2.06835,
        2.01694,
        2.0658,
        2.12892,
        2.03475,
        2.04538,
        2.09492,
        2.04655,
        2.07955,
        2.03229,
        2.00995,
        2.07501,
        2.08906,
        2.07475,
        2.10145,
        2.07793,
        2.08695,
        2.05412,
        2.04915,
        2.11321,
        2.04037,
        2.08052,
        2.14144,
        2.13157,
        2.16025,
        2.16237,
        2.13298,
        2.04827,
        2.15058,
        2.17078,
        2.14304,
        2.11447,
        2.1676,
        2.15174,
        2.1333,
        2.13472,
        2.109,
        2.14273,
        2.11212,
        2.08275,
        2.09729,
        2.0397,
        2.0304,
        2.05062,
        2.10484,
        2.09758,
        2.07935,
        2.02846,
        2.07543,
        2.11821,
        2.09769,
        2.11528,
        2.04383,
        2.05644,
        2.10557,
        2.08266,
        2.13473,
        2.06625,
        2.04475,
        2.09672,
        2.09103,
        2.08197,
        2.07452,
        2.10747,
        2.10074,
        2.0267,
        2.13679,
        2.09865,
        2.11756,
        2.12838,
        2.13792,
        2.1644,
        2.06969,
        2.08631,
        2.12114,
        2.04574,
        2.06103,
        2.08637,
        2.13701,
        2.13021,
        2.10981,
        2.0532,
        2.07513,
        2.08132,
        2.12932,
        2.08176,
        2.19832,
        2.1262,
        2.12555,
        2.05325,
        2.11456,
        2.12148,
        2.03949,
        2.03635,
        2.08864,
        2.10416,
        2.06459,
        2.1123,
        2.06701,
        2.12567,
        2.11665,
        2.20014,
        2.08553,
        2.01219,
        2.10668,
        2.12073,
        2.11843,
        2.06989,
        2.16145,
        2.06568,
        2.14729,
        2.14487,
        2.07479,
        2.1558,
        1.93136,
        1.66767,
        2.20942,
        2.50244,
        2.42791,
        2.17134,
        2.26653,
        2.19874,
        2.20473,
        2.1041,
        2.02501,
        2.06066,
        2.19716,
        2.06237,
        2.03388,
        2.18686,
        2.15176,
        2.01993,
        2.05217,
        2.12069,
        2.16254,
        2.01839,
        2.02512,
        2.15854,
        2.11334,
        2.14082,
        2.09284,
        2.10965,
        2.16318,
        2.09755,
        2.16671,
        2.18447,
        2.11391,
        2.12343,
        2.16819,
        2.09755,
        2.04454,
        2.09231,
        2.03152,
        2.08675,
        2.11814,
        2.07416,
        2.03823,
        2.04834,
        2.06485,
        2.05763,
        2.07197,
        2.06952,
        2.10066,
        2.13191,
        2.09334,
        2.04724,
        2.09699,
        2.11771,
        2.10059,
        2.0605,
        2.16772,
        2.09061,
        2.09767,
        2.02445,
        2.00264,
        2.08535,
        2.0355,
        2.04992,
        1.99209,
        2.08741,
        2.00239,
        2.10027,
        2.02033,
        2.09649,
        2.23838,
        1.91421,
        1.92102,
        2.06659,
        2.14666,
        2.06229,
        2.18798,
        2.19273,
        2.0965,
        2.11708,
        2.12878,
        2.07696,
        2.04145,
        2.11897,
        2.14414,
        2.09594,
        2.11678,
        2.16133,
        2.11034,
        2.18001,
        2.16714,
        2.17038,
        2.13854,
        2.10239,
        2.0648,
        2.13242,
        2.0707,
        2.0842,
        2.11683,
        2.09099,
        2.18115,
        2.18824,
        2.15481,
        2.118,
        2.15467,
        2.1951,
        2.15135,
        2.08092,
        2.1211,
        2.10836,
        2.07005,
        2.0584,
        2.16426,
        2.13427,
        2.09616,
        2.11791,
        2.13998,
        2.13677,
        2.16797,
        2.15072,
        2.12796,
        2.19592,
        2.14228,
        2.18979,
        2.1523,
        2.23626,
        2.20511,
        2.23667,
        2.23018,
        2.17086,
        2.29449,
        2.26401,
        2.22258,
        2.17486,
        2.16474,
        2.1638,
        2.13996,
        2.18155,
        2.25882,
        2.2557,
        2.28978,
        2.29219,
        2.25264,
        2.20833,
        2.22836,
        2.21284,
        2.21095,
        2.23174,
        2.21811,
        2.22566,
        2.19228,
        2.26316,
        2.35074,
        2.28577,
        2.27209,
        2.29311,
        2.27729,
        2.26754,
        2.25662,
        2.0601,
        2.1107,
        2.11013,
        2.04695,
        2.18781,
        2.26029,
        2.20789,
        2.32376,
        2.45541,
        2.5013,
        2.43436,
        2.33115,
        2.34346,
        2.15205,
        2.72852,
        2.32849,
        2.61507,
        2.45972,
        2.34299,
        2.25604,
        2.20203,
        2.40237,
        2.47636,
        2.39846,
        2.32273,
        2.30256,
        2.3805,
        2.43048,
        2.41681,
        2.41917,
        2.3129,
        2.2358,
        2.34921,
        2.29425,
        2.33643,
        2.40061,
        2.41075,
        2.20251,
        2.28302,
        2.26081,
        2.2994,
        2.2061,
        2.28689,
        2.19989,
        2.21385,
        2.35333,
        2.37279,
        2.22281,
        2.30592,
        2.37855,
        2.30351,
        2.27071,
        2.23636,
        2.11868,
        2.21239,
        2.26404,
        2.15794,
        2.10382,
        2.26025,
        2.34278,
        2.20718,
        2.17322,
        2.20767,
        2.14847,
        2.18419,
        2.13956,
        2.2254,
        2.21118,
        2.08156,
        2.14658,
        2.20296,
        2.14076,
        2.17575,
        2.25407,
        2.16673,
        2.24447,
        2.28236,
        2.20737,
        2.12658,
        2.17252,
        2.21058,
        2.1327,
        2.11365,
        2.18395,
        2.17852,
        2.20355,
        2.15093,
        2.16229,
        2.15156,
        2.18284,
        2.21158,
        2.25978,
        2.13528,
        2.05148,
        2.06791,
        2.11252,
        2.12151,
        2.15058,
        2.11673,
        2.07611,
        2.09954,
        2.20828,
        2.16229,
        2.14433,
        2.19237,
        2.14731,
        2.10961,
        2.11717,
        2.16361,
        2.14759,
        2.10945,
        2.11899,
        2.10931,
        2.08319,
        2.05131,
        2.15603,
        2.12652,
        2.11559,
        2.12236,
        2.10466,
        2.13162,
        2.14675,
        2.17564,
        2.1046,
        2.13354,
        2.11244,
        2.07255,
        2.11671,
        2.09929,
        2.07194,
        2.05164,
        2.09735,
        2.1102,
        2.0478,
        2.19,
        2.15244,
        2.15019,
        2.14226,
        2.09033,
        2.15589,
        2.04968,
        2.09504,
        2.09312,
        2.07279,
        2.12578,
        2.10785,
        2.07499,
        1.96964,
        2.13728,
        2.10408,
        2.07558,
        2.05267,
        2.04336,
        2.06877,
        2.09579,
        2.1378,
        2.14734,
        2.13835,
        2.13629,
        2.09395,
        2.16009,
        2.1795,
        2.21454,
        2.09141,
        2.1733,
        2.18487,
        2.23437,
        2.09816,
        2.01203,
        2.14638,
        2.26786,
        2.26411,
        2.13047,
        2.2399,
        2.27231,
        2.17883,
        2.28336,
        2.2898,
        2.0154,
        2.14507,
        2.12589,
        1.83656,
        1.90924,
        2.45515,
        2.38637,
        2.23794,
        2.07314,
        2.01252,
        2.04758,
        1.98739,
        1.92212,
        2.01434,
        2.17538,
        2.06595,
        2.03725,
        2.04333,
        1.94507,
        2.05924,
        2.0918,
        2.07873,
        2.07644,
        2.11907,
        2.12738,
        2.18621,
        2.27121,
        2.08754,
        2.06197,
        2.05903,
        2.21801,
        2.10394,
        2.06781,
        2.07418,
        2.05544,
        2.05232,
        2.08858,
        2.08449,
        2.10156,
        2.09679,
        2.11782,
        2.01795,
        2.05415,
        2.14737,
        2.17562,
        2.14805,
        2.07364,
        1.99562,
        2.13802,
        2.01223,
        2.04807,
        2.17155,
        2.21136,
        2.21649,
        2.18398,
        2.07778,
        2.03942,
        2.08564,
        2.08039,
        2.17003,
        2.13533,
        2.12189,
        2.05411,
        2.02724,
        2.13147,
        2.20524,
        2.04845,
        2.0778,
        2.14716,
        2.17114,
        2.14346,
        2.08692,
        2.17694,
        2.18677,
        2.11308,
        2.0306,
        2.17236,
        2.14862,
        2.18201,
        2.07266,
        2.08153,
        2.13084,
        2.12537,
        2.05748,
        2.08365,
        2.13486,
        2.04,
        1.98681,
        2.05031,
        2.15066,
        2.11474,
        2.18033,
        2.17683,
        2.22036,
        2.09756,
        2.07824,
        2.09018,
        2.10858,
        2.10628,
        2.12937,
        2.14384,
        2.14781,
        2.20221,
        2.10484,
        2.12137,
        2.08899,
        1.9965,
        2.06026,
        2.15515,
        2.15965,
        2.21459,
        2.12518,
        2.02008,
        2.05104,
        2.08079,
        2.1773,
        2.01998,
        2.10349,
        2.11356,
        2.08192,
        2.12397,
        2.06625,
        2.13572,
        2.14287,
        2.02802,
        2.11326,
        2.13504,
        2.12183,
        2.16468,
        2.14237,
        2.11264,
        2.06367,
        2.13164,
        2.18936,
        2.17134,
        2.15807,
        2.09687,
        2.21419,
        2.19809,
        2.0588,
        2.10596,
        2.09756,
        2.17619,
        2.14347,
        2.19068,
        2.08152,
        2.07948,
        2.11575,
        1.98462,
        2.0296,
        2.01765,
        2.13037,
        1.98625,
        2.02975,
        2.03546,
        2.06617,
        2.07596,
        2.08051,
        2.06874,
        2.16886,
        2.22995,
        2.32366,
        2.1259,
        2.04594,
        2.24379,
        2.3081,
        2.09774,
        2.16382,
        2.24965,
        1.91058,
        2.08111,
        2.3973,
        2.35534,
        1.93698,
        2.12303,
        1.8835,
        1.97174,
        1.7771,
        2.06944,
        1.98853,
        1.78285,
        2.0542,
        2.10637,
        2.09022,
        1.84507,
        1.98609,
        2.16089,
        1.87672,
        2.26425,
        2.14326,
        2.11861,
        2.2538,
        2.14531,
        2.07199,
        2.11148,
        2.1383,
        2.02504,
        2.17361,
        2.17455,
        2.15952,
        2.13822,
        2.15143,
        2.0503,
        2.14598,
        2.20665,
        2.18789,
        2.2494,
        2.19995,
        2.18702,
        2.30458,
        2.20341,
        2.07748,
        2.03153,
        2.11688,
        2.25897,
        2.06849,
        2.21485,
        2.18683,
        2.27041,
        2.33995,
        2.23726,
        2.23154,
        2.25756,
        2.30927,
        2.24186,
        2.23342,
        2.05654,
        2.1803,
        2.19411,
        2.25521,
        2.17638,
        2.06354,
        2.02466,
        2.11032,
        2.14783,
        2.11773,
        2.27991,
        2.14354,
        1.91099,
        2.34246,
        2.32284,
        2.11524,
        2.56719,
        2.20459,
        2.29399,
        2.67747,
        2.76587,
        2.31372,
        2.42853,
        2.8159,
        3.16545,
        2.62537,
        2.33074,
        2.24165,
        2.25671,
        2.26454,
        2.75566,
        2.47249,
        2.74626,
        2.65886,
        2.60181,
        2.08302,
        2.23227,
        2.16378,
        2.12871,
        2.21893,
        2.37603,
        2.41539,
        2.11276,
        2.10068,
        2.1736,
        2.13795,
        2.13261,
        2.26894,
        2.15212,
        2.29081,
        2.35049,
        2.29624,
        2.04542,
        2.05608,
        1.99144,
        2.07419,
        2.16477,
        2.07894,
        2.04495,
        2.30813,
        2.14643,
        1.97244,
        2.03692,
        2.14003,
        2.20118,
        2.09273,
        2.15589,
        2.08272,
        2.20653,
        2.27745,
        2.22794,
        2.05996,
        2.19577,
        2.02464,
        2.08862,
        2.10237,
        2.16473,
        2.13306,
        2.08829,
        2.24893,
        2.18999,
        2.08981,
        2.04374,
        2.12954,
        2.10794,
        2.03965,
        2.01195,
        2.11291,
        2.09923,
        2.17226,
        2.17209,
        2.14555,
        2.09875,
        2.09523,
        2.03648,
        2.07678,
        2.09203,
        2.12932,
        2.06181,
        2.09404,
        2.12824,
        2.05819,
        2.14613,
        2.05694,
        2.11557,
        2.17682,
        2.09897,
        2.08389,
        2.09839,
        2.18518,
        2.21704,
        2.15513,
        2.20967,
        2.13965,
        2.12477,
        2.15403,
        2.10531,
        2.06627,
        2.14716,
        2.10156,
        2.13307,
        2.1831,
        2.0837,
        2.06541,
        2.05926,
        1.99827,
        2.04116,
        2.09013,
        2.00362,
        2.07971,
        2.17073,
        2.10974,
        2.14819,
        2.17316,
        2.18472,
        2.15123,
        2.09197,
        2.15321,
        2.14055,
        2.06676,
        2.06003,
        2.17487,
        2.16574,
        2.1083,
        2.14179,
        2.16501,
        2.05163,
        2.07379,
        2.04794,
        1.94917,
        2.03198,
        2.08628,
        2.06261,
        2.08155,
        2.05958,
        2.04993,
        2.15892,
        2.09227,
        2.02875,
        2.089,
        2.02046,
        2.09646,
        2.1018,
        2.17405,
        2.18837,
        2.08359,
        2.13151,
        2.05215,
        2.08498,
        2.0713,
        2.07038,
        1.99809,
        2.13882,
        2.14712,
        2.02516,
        2.11443,
        2.02119,
        2.15191,
        2.18073,
        2.01492,
        2.00225,
        2.09837,
        2.18174,
        2.14409,
        2.07029,
        2.21983,
        2.11873,
        2.05344,
        2.25521,
        2.19701,
        2.27317,
        2.04499,
        2.04373,
        2.19713,
        2.11283,
        2.22622,
        2.25951,
        2.38874,
        1.90836,
        2.2113,
        2.03219,
        2.28512,
        2.49159,
        2.01264,
        2.13066,
        2.3303,
        2.43145,
        2.40753,
        2.12498,
        2.21016,
        2.16702,
        2.1218,
        1.96766,
        1.89979,
        2.06488,
        2.27044,
        2.20399,
        2.12684,
        2.01559,
        2.13209,
        1.91371,
        2.08627,
        2.28189,
        2.16163,
        2.13805,
        2.07867,
        2.16477,
        2.07453,
        2.17048,
        2.09454,
        2.10563,
        2.07005,
        2.08606,
        2.14286,
        2.05928,
        2.10896,
        2.17775,
        2.13592,
        2.03896,
        2.09526,
        2.14229,
        2.16306,
        1.9779,
        2.13823,
        2.05726,
        2.06338,
        2.10298,
        2.20484,
        2.13186,
        1.96904,
        2.05477,
        1.98185,
        2.17714,
        2.11568,
        2.12743,
        2.10478,
        2.11685,
        2.12475,
        2.09535,
        2.05162,
        2.11653,
        2.08323,
        2.05126,
        2.00942,
        2.0813,
        2.11092,
        2.16174,
        2.10056,
        2.0752,
        2.08875,
        2.12669,
        2.08838,
        2.15384,
        2.02035,
        2.11784,
        2.03737,
        2.2017,
        2.21034,
        2.10484,
        2.12136,
        2.13712,
        2.05969,
        2.08199,
        2.04391,
        2.19436,
        2.12061,
        2.10212,
        2.14866,
        2.10033,
        2.13222,
        2.11868,
        2.07925,
        2.22176,
        2.16611,
        2.12108,
        1.94638,
        2.18414,
        2.10231,
        2.03326,
        2.14526,
        2.10647,
        2.13184,
        2.00658,
        2.15678,
        2.18676,
        2.04626,
        2.15283,
        2.0566,
        1.9485,
        2.03567,
        2.20213,
        2.1638,
        2.1154,
        2.04592,
        2.15957,
        2.2213,
        2.15409,
        2.07913,
        2.10941,
        2.06016,
        2.12299,
        2.03779,
        2.17646,
        2.05621,
        2.26777,
        2.14667,
        2.12187,
        2.00274,
        2.11267,
        2.08008,
        2.01007,
        2.07142,
        2.27004,
        2.20381,
        2.0059,
        2.05006,
        2.10585,
        2.15277,
        2.21842,
        2.06506,
        2.17151,
        2.12902,
        2.09909,
        2.17702,
        2.17861,
        2.07855,
        1.96594,
        1.99891,
        2.13034,
        2.12083,
        2.05687,
        2.1101,
        2.06559,
        2.12046,
        2.04584,
        2.26849,
        2.26322,
        2.20057,
        2.02811,
        2.044,
        2.15694,
        2.12522,
        2.13263,
        2.07887,
        2.12826,
        2.12353,
        2.17787,
        2.24801,
        1.9886,
        2.05715,
        1.9485,
        1.7373,
        2.06474,
        2.3474,
        2.02128,
        null,
        2.03861,
        2.06689,
        2.03786,
        2.05466,
        2.0937,
        2.07656,
        2.02074,
        2.03871,
        2.10659,
        2.05451,
        1.9978,
        2.02593,
        2.08731,
        2.09086,
        2.09305,
        2.05862,
        2.04323,
        2.05218,
        2.10473,
        2.1291,
        2.08564,
        2.17544,
        2.20758,
        2.12244,
        2.17181,
        2.08307,
        2.01943,
        2.04766,
        2.11935,
        2.13221,
        2.13131,
        2.14619,
        2.08403,
        2.04825,
        2.16729,
        2.1165,
        2.09951,
        2.07483,
        2.05007,
        2.10397,
        2.08296,
        2.07258,
        2.10718,
        2.07753,
        2.02868,
        2.11502,
        2.1536,
        2.12749,
        2.11161,
        2.09647,
        2.1208,
        2.08154,
        2.11542,
        2.12176,
        2.10401,
        2.05099,
        2.08135,
        2.05314,
        2.11957,
        2.19441,
        2.15688,
        2.17342,
        2.17861,
        2.12679,
        1.99997,
        2.17695,
        2.11968,
        2.0159,
        2.09407,
        2.1459,
        2.18864,
        2.09492,
        2.09467,
        2.143,
        2.14627,
        2.0783,
        1.966,
        1.89751,
        2.07695,
        2.17096,
        1.98578,
        2.11437,
        2.25732,
        1.99031,
        1.96363,
        2.14977,
        2.35052,
        2.70039,
        2.63899,
        2.39411,
        2.31977,
        2.02407,
        2.05498,
        2.19005,
        2.23077,
        2.11331,
        2.21543,
        2.20621,
        2.24677,
        2.26588,
        2.22259,
        2.27354,
        2.18414,
        2.08844,
        2.13618,
        2.28736,
        2.22346,
        2.05144,
        2.09413,
        2.06468,
        2.05982,
        2.13186,
        2.12817,
        2.10479,
        2.09457,
        2.15494,
        2.17282,
        2.07802,
        2.1155,
        2.13261,
        2.0495,
        2.16584,
        2.10441,
        2.16973,
        2.13557,
        2.11665,
        2.17644,
        2.17049,
        2.05309,
        2.01775,
        2.03311,
        2.06763,
        2.08321,
        2.07813,
        2.08712,
        2.11034,
        2.10717,
        2.19523,
        2.17859,
        2.08251,
        2.08629,
        2.06456,
        2.05339,
        2.02719,
        2.07351,
        2.18868,
        2.15146,
        2.18008,
        2.11988,
        2.0417,
        2.03819,
        2.16667,
        2.11448,
        2.08533,
        2.13587,
        2.15114,
        2.0927,
        2.08744,
        2.1194,
        2.05397,
        2.08277,
        2.1596,
        2.14436,
        2.17614,
        2.10266,
        2.05861,
        2.08169,
        2.12067,
        2.13647,
        2.14931,
        2.1152,
        2.09703,
        2.13855,
        2.12943,
        2.10339,
        2.07884,
        2.10538,
        2.05588,
        2.16655,
        2.10979,
        2.06953,
        2.05269,
        1.98154,
        2.07763,
        2.11655,
        2.09642,
        2.12296,
        2.14239,
        2.06117,
        2.06323,
        2.08815,
        2.10464,
        2.10626,
        2.17726,
        2.10787,
        2.04124,
        2.09595,
        2.13858,
        2.11641,
        2.12495,
        2.14383,
        2.13823,
        2.11241,
        2.1021,
        2.13763,
        2.05733,
        2.09721,
        2.14527,
        2.05254,
        2.03312,
        2.06182,
        2.09402,
        2.07263,
        2.04801,
        2.05254,
        2.12139,
        2.18781,
        2.12209,
        2.14986,
        2.12915,
        2.08973,
        2.05324,
        2.11161,
        2.10695,
        2.11747,
        2.14903,
        2.1142,
        2.10437,
        2.11466,
        2.25585,
        2.22811,
        2.1295,
        2.08102,
        2.16319,
        2.01187,
        2.20173,
        2.20567,
        2.02294,
        2.54848,
        2.40373,
        1.99424,
        2.05407,
        2.27891,
        2.05516,
        2.21178,
        2.28263,
        2.18968,
        2.20533,
        2.16881,
        2.19808,
        2.09712,
        2.00463,
        2.09785,
        2.1268,
        2.10087,
        2.25095,
        2.16642,
        2.11954,
        2.13986,
        2.08963,
        2.10174,
        2.12676,
        2.10737,
        2.14501,
        2.13844,
        2.11853,
        2.20448,
        2.19641,
        2.21714,
        2.21582,
        2.24093,
        2.15202,
        2.13384,
        2.21151,
        2.18913,
        2.10035,
        2.08179,
        2.06402,
        1.95783,
        2.06892,
        2.1089,
        2.17574,
        2.17409,
        2.09544,
        2.07565,
        2.13966,
        2.12613,
        2.07107,
        2.11667,
        2.16688,
        2.15296,
        2.08392,
        2.16594,
        2.22821,
        2.19544,
        2.21964,
        2.12245,
        2.18446,
        2.27236,
        2.19412,
        2.14619,
        2.18435,
        2.25659,
        2.24746,
        2.22035,
        2.25819,
        2.25121,
        2.28623,
        2.2733,
        2.21647,
        2.19889,
        2.27852,
        2.21856,
        2.25269,
        2.27059,
        2.24047,
        2.21662,
        2.229,
        2.30864,
        2.32554,
        2.25184,
        2.19578,
        2.25969,
        2.28644,
        2.23715,
        2.28441,
        2.34501,
        2.25762,
        2.30437,
        2.28875,
        2.24278,
        2.21128,
        2.15239,
        2.12362,
        2.11615,
        2.16457,
        2.20875,
        2.22936,
        2.25338,
        2.23135,
        2.28792,
        2.31032,
        2.40999,
        2.42253,
        2.39441,
        2.3963,
        2.39714,
        2.42202,
        2.42155,
        2.41847,
        2.45076,
        2.33398,
        2.40209,
        2.41478,
        2.39918,
        2.35217,
        2.44851,
        2.35779,
        2.35201,
        2.47809,
        2.35773,
        2.34193,
        2.35082,
        2.32329,
        2.34328,
        2.42546,
        2.31043,
        2.35689,
        2.36007,
        2.32644,
        2.24217,
        2.29042,
        2.35588,
        2.30976,
        2.32171,
        2.41819,
        2.33869,
        2.32916,
        2.19942,
        2.26193,
        2.20572,
        2.1749,
        2.20294,
        2.24453,
        2.33722,
        2.25923,
        2.22275,
        2.26233,
        2.33558,
        2.18669,
        2.16738,
        2.18591,
        2.23157,
        2.14535,
        2.22289,
        2.18207,
        2.22555,
        2.37714,
        2.48622,
        2.33585,
        2.21639,
        2.30649,
        2.07365,
        2.01716,
        1.98857,
        2.00397,
        2.10837,
        2.10804,
        2.05858,
        2.11145,
        2.14701,
        2.07601,
        2.10997,
        2.14619,
        2.13693,
        2.09593,
        2.13777,
        2.15733,
        2.03483,
        2.22455,
        2.17417,
        2.12865,
        2.16513,
        2.12417,
        2.09809,
        2.06778,
        2.09673,
        2.09877,
        2.06037,
        2.00337,
        2.14148,
        2.09883,
        2.10052,
        2.06615,
        2.07253,
        2.09822,
        2.13496,
        2.12593,
        2.07116,
        2.05646,
        2.13044,
        2.14442,
        2.12598,
        2.17316,
        2.14244,
        2.08858,
        2.09803,
        2.13448,
        2.13361,
        2.12187,
        2.063,
        2.08457,
        2.08562,
        2.15315,
        2.09017,
        2.07046,
        2.05283,
        2.02918,
        2.12323,
        2.17394,
        2.07665,
        2.11284,
        2.16649,
        2.07711,
        2.10125,
        2.09229,
        2.07433,
        2.11945,
        2.0775,
        2.01573,
        2.1499,
        2.08588,
        2.12592,
        2.11641,
        2.13623,
        2.07189,
        2.11066,
        2.06641,
        2.09764,
        2.06952,
        2.06567,
        2.04909,
        2.09646,
        2.15511,
        2.18151,
        2.09378,
        2.08474,
        2.10948,
        2.12257,
        2.11807,
        2.09746,
        2.15158,
        2.14361,
        2.10414,
        2.12114,
        2.07463,
        2.10609,
        2.12051,
        2.1032,
        2.15901,
        2.11479,
        2.11808,
        2.10446,
        2.10192,
        2.16054,
        2.17019,
        2.1457,
        2.13466,
        2.06602,
        2.10744,
        2.09503,
        2.07342,
        2.19332,
        2.16114,
        2.07872,
        2.11562,
        2.10367,
        2.10517,
        2.15941,
        2.10561,
        2.10272,
        2.14317,
        2.10752,
        2.14643,
        2.1644,
        2.21508,
        2.14913,
        2.19602,
        2.18283,
        2.2099,
        2.09472,
        2.13038,
        2.11771,
        2.18773,
        2.19454,
        2.17027,
        2.21298,
        2.15237,
        2.11016,
        2.20574,
        2.26205,
        2.22786,
        2.13051,
        2.10786,
        1.90038,
        1.87763,
        2.11687,
        2.12781,
        2.01855,
        2.11627,
        1.88335,
        1.83886,
        1.85522,
        1.76248,
        1.87149,
        2.74033,
        2.27458,
        2.37295,
        2.24565,
        2.18067,
        2.13425,
        1.97456,
        2.09491,
        2.1247,
        2.1201,
        2.07118,
        2.19081,
        2.13496,
        2.20439,
        2.11193,
        2.13572,
        2.10971,
        2.14713,
        2.00825,
        2.09614,
        2.02833,
        2.08184,
        2.10773,
        2.14073,
        2.02824,
        2.04491,
        2.0646,
        2.13482,
        2.14359,
        2.18529,
        2.14964,
        2.11354,
        2.15411,
        2.07876,
        2.07308,
        2.14666,
        2.13772,
        2.11618,
        2.11399,
        2.11674,
        2.10065,
        2.05919,
        2.14661,
        2.09065,
        2.0962,
        2.13638,
        2.16945,
        2.154,
        2.06093,
        2.08326,
        2.00547,
        2.07869,
        2.1209,
        2.03306,
        1.9778,
        2.05328,
        2.10263,
        2.16226,
        2.04233,
        2.06062,
        2.09124,
        2.09418,
        2.08024,
        2.09351,
        2.10932,
        2.13694,
        2.1207,
        1.98508,
        1.91797,
        2.09468,
        2.15332,
        2.10734,
        2.05022,
        2.0454,
        2.06012,
        2.05367,
        2.11737,
        2.17381,
        2.0917,
        2.0463,
        2.08739,
        2.07634,
        2.07915,
        2.056,
        2.11711,
        2.11322,
        2.03426,
        2.04786,
        2.05151,
        2.08848,
        2.08775,
        2.13746,
        2.18206,
        2.05664,
        2.05369,
        2.16538,
        2.08778,
        2.1068,
        2.12413,
        2.09345,
        2.09071,
        2.06825,
        2.07088,
        2.12273,
        2.10044,
        2.07264,
        2.06241,
        2.09961,
        2.11413,
        2.05806,
        2.0719,
        2.14217,
        2.14781,
        2.10064,
        2.07503,
        2.03631,
        2.00027,
        2.12191,
        2.11084,
        2.11567,
        2.05508,
        2.11254,
        2.10138,
        2.12758,
        2.08448,
        2.09789,
        2.05628,
        2.09597,
        2.10155,
        2.11076,
        2.11887,
        2.15665,
        2.15406,
        2.20297,
        2.1052,
        2.12235,
        2.15885,
        2.06773,
        2.19365,
        2.17442,
        2.07971,
        2.05652,
        2.07818,
        2.05169,
        2.07158,
        2.11024,
        2.15112,
        2.02642,
        1.9536,
        2.11177,
        2.21734,
        2.14529,
        2.15198,
        2.20235,
        2.12635,
        2.17273,
        2.36327,
        2.4846,
        2.23898,
        2.12766,
        2.17957,
        2.20891,
        3.03037,
        2.04994,
        2.1138,
        2.20316,
        2.20842,
        2.2806,
        2.19907,
        2.22421,
        2.01893,
        2.03312,
        2.06324,
        2.17252,
        2.08669,
        2.08495,
        2.04791,
        2.13735,
        2.14002,
        2.08695,
        2.07651,
        2.07075,
        2.09275,
        2.0788,
        2.07315,
        2.14388,
        2.1453,
        2.17443,
        2.12726,
        2.18643,
        2.1644,
        2.17429,
        2.14864,
        2.15386,
        2.07574,
        2.18096,
        2.10731,
        2.08054,
        2.13273,
        2.1251,
        2.13985,
        2.15311,
        2.15977,
        2.19754,
        2.16946,
        2.14757,
        2.1426,
        2.21879,
        2.22628,
        2.13199,
        2.23969,
        2.19326,
        2.18726,
        2.19401,
        2.16003,
        2.24117,
        2.19322,
        2.21067,
        2.20064,
        2.25325,
        2.2712,
        2.23822,
        2.19921,
        2.27669,
        2.22161,
        2.21765,
        2.26614,
        2.28274,
        2.27956,
        2.23,
        2.25608,
        2.27454,
        2.22856,
        2.27341,
        2.2988,
        2.27045,
        2.23993,
        2.2549,
        2.28469,
        2.30924,
        2.24833,
        2.30117,
        2.26484,
        2.2698,
        2.2324,
        2.27869,
        2.26599,
        2.31872,
        2.28798,
        2.23813,
        2.31821,
        2.31972,
        2.23095,
        2.15582,
        2.20346,
        2.18003,
        2.0716,
        2.02039,
        2.11863,
        2.11727,
        2.13043,
        2.11388,
        2.21553,
        2.28997,
        2.29347,
        2.27653,
        2.2705,
        2.31755,
        2.28117,
        2.33215,
        2.34061,
        2.38591,
        2.30962,
        2.35107,
        2.32012,
        2.29576,
        2.35078,
        2.36878,
        2.42931,
        2.45155,
        2.39803,
        2.39699,
        2.36984,
        2.37089,
        2.37373,
        2.39837,
        2.3396,
        2.40487,
        2.36655,
        2.40554,
        2.41769,
        2.45825,
        2.35855,
        2.35974,
        2.42272,
        2.39406,
        2.37771,
        2.24134,
        2.26562,
        2.25692,
        2.36333,
        2.32438,
        2.30786,
        2.22675,
        2.22661,
        2.24606,
        2.26091,
        2.27285,
        2.31984,
        2.23192,
        2.29707,
        2.28636,
        2.20016,
        2.19304,
        2.28213,
        2.22799,
        2.21524,
        2.21455,
        2.23321,
        2.22423,
        2.25735,
        2.28729,
        2.29382,
        2.34416,
        2.27038,
        2.30582,
        2.16051,
        2.17662,
        2.25194,
        2.51342,
        2.46337,
        2.60078,
        2.32248,
        2.11087,
        2.08233,
        2.10835,
        2.13188,
        2.18827,
        2.23749,
        2.24654,
        2.11495,
        2.1624,
        2.25613,
        2.32898,
        2.13611,
        2.09842,
        2.15332,
        2.11845,
        2.0471,
        2.08562,
        2.16335,
        2.10627,
        2.06827,
        2.14762,
        2.13195,
        2.14712,
        2.18179,
        2.12527,
        2.09286,
        2.16547,
        2.11247,
        2.0856,
        2.13966,
        2.11878,
        2.08977,
        2.07352,
        2.05233,
        2.07926,
        2.1023,
        2.0234,
        2.11767,
        2.15878,
        2.06351,
        2.11781,
        2.1491,
        2.1552,
        2.20151,
        2.12517,
        2.11607,
        2.15639,
        2.08265,
        2.14309,
        2.19194,
        2.17187,
        2.15751,
        2.15485,
        2.15365,
        2.13766,
        2.0845,
        2.07825,
        2.1256,
        2.09748,
        2.15601,
        2.12378,
        2.05251,
        2.11859,
        2.0943,
        2.07005,
        2.05946,
        2.06083,
        2.05341,
        2.02444,
        2.07405,
        2.08679,
        2.07843,
        2.18256,
        2.13645,
        2.10181,
        2.07559,
        2.13339,
        2.10112,
        2.08476,
        2.09681,
        2.06808,
        1.98599,
        2.11881,
        2.13531,
        2.06442,
        2.16119,
        2.29643,
        2.09047,
        2.03804,
        2.16282,
        2.05411,
        2.06198,
        2.06078,
        2.03962,
        2.0935,
        2.07659,
        2.03882,
        2.02293,
        2.14478,
        2.0276,
        2.04428,
        2.12834,
        2.0792,
        2.13271,
        2.08068,
        2.14648,
        2.10091,
        2.14066,
        2.1222,
        2.04948,
        2.06273,
        2.03759,
        2.02497,
        2.15534,
        2.05444,
        2.15149,
        2.17166,
        2.06486,
        2.10583,
        2.06023,
        2.08241,
        2.15414,
        2.12802,
        2.16911,
        2.1285,
        2.13143,
        2.13329,
        2.17632,
        2.10692,
        2.12601,
        2.16235,
        2.0767,
        2.06421,
        2.17899,
        2.12215,
        2.13548,
        2.16595,
        2.19368,
        2.1081,
        2.13061,
        2.07083,
        2.08921,
        2.10166,
        2.13079,
        2.07096,
        2.11604,
        2.09571,
        2.12257,
        2.01391,
        2.07845,
        2.09735,
        2.19825,
        2.15297,
        2.07486,
        2.07506,
        2.05257,
        2.09236,
        2.2043,
        2.31149,
        2.16637,
        2.05473,
        2.1504,
        2.06763,
        2.11584,
        2.19333,
        2.17773,
        2.65267,
        1.99295,
        2.13846,
        2.32984,
        2.14806,
        2.32471,
        2.21221,
        2.057,
        2.21038,
        2.13141,
        2.04264,
        2.05646,
        1.97563,
        2.04338,
        2.09996,
        2.06986,
        2.03001,
        2.04841,
        2.11557,
        2.14972,
        2.05624,
        2.07855,
        2.10361,
        2.07728,
        2.10146,
        2.09614,
        2.10979,
        2.0204,
        2.0555,
        2.11075,
        2.14233,
        2.18108,
        2.16766,
        2.13322,
        2.12513,
        2.16938,
        2.08653,
        2.12518,
        2.03659,
        2.07489,
        2.09776,
        2.16038,
        2.0787,
        2.04374,
        2.11775,
        2.20067,
        2.19956,
        2.15952,
        2.24341,
        2.06651,
        2.01642,
        2.07635,
        2.06488,
        2.07095,
        2.0855,
        2.08753,
        2.12418,
        2.07697,
        2.07194,
        2.09067,
        2.11193,
        2.13265,
        2.11148,
        2.05822,
        2.10794,
        2.09211,
        2.06982,
        2.06648,
        2.07687,
        2.06146,
        2.13852,
        2.13238,
        2.09874,
        2.08051,
        2.06678,
        2.13361,
        2.12647,
        2.02444,
        2.03196,
        2.11676,
        2.1594,
        2.14506,
        2.13739,
        2.07077,
        2.0946,
        2.14863,
        2.17764,
        2.14329,
        2.15361,
        2.13217,
        2.12344,
        2.0983,
        2.12854,
        2.14315,
        2.09072,
        2.09661,
        2.15265,
        2.10349,
        2.05004,
        2.14122,
        2.1039,
        2.20333,
        2.18108,
        2.14813,
        2.1322,
        2.09096,
        2.09483,
        2.1126,
        2.07657,
        2.12343,
        2.08772,
        2.1586,
        2.16305,
        2.14843,
        2.13456,
        2.09089,
        2.01879,
        2.11409,
        2.17596,
        2.1789,
        2.12628,
        2.12497,
        2.14828,
        2.11399,
        2.12379,
        2.12978,
        2.10464,
        2.13423,
        2.14152,
        2.15456,
        2.08533,
        2.1018,
        2.10809,
        2.18412,
        2.10935,
        2.06994,
        2.12578,
        2.1683,
        2.11704,
        2.0501,
        2.17744,
        2.11664,
        2.08003,
        2.12114,
        2.07006,
        2.1124,
        2.11189,
        2.1465,
        2.16311,
        2.08914,
        2.16504,
        2.21166,
        2.23588,
        2.1695,
        2.12206,
        2.1143,
        2.09429,
        2.12879,
        2.1906,
        2.15508,
        2.12566,
        2.12269,
        2.09973,
        2.15679,
        2.15838,
        2.21866,
        2.19713,
        2.15553,
        2.35011,
        2.09442,
        2.16068,
        2.11698,
        2.02866,
        2.38643,
        2.11078,
        2.30613,
        2.12799,
        1.90515,
        1.8518,
        2.31326,
        2.033,
        2.09845,
        2.0931,
        2.12898,
        2.1435,
        2.12835,
        2.07896,
        1.9445,
        2.1591,
        2.16011,
        2.11167,
        2.17796,
        2.12465,
        2.04232,
        2.1553,
        2.1717,
        2.16219,
        2.06146,
        2.16624,
        2.1563,
        2.18859,
        2.10122,
        2.1493,
        2.15096,
        2.12891,
        2.13508,
        2.14552,
        2.17464,
        2.17387,
        2.08186,
        2.1443,
        2.18478,
        2.14452,
        2.08347,
        2.15582,
        2.0818,
        2.08643,
        2.12771,
        2.0831,
        2.09229,
        2.066,
        2.05683,
        2.04473,
        2.05896,
        2.11035,
        2.10826,
        2.07173,
        2.09601,
        2.10312,
        2.18183,
        2.06613,
        2.20045,
        2.15909,
        2.11155,
        2.12362,
        2.14276,
        2.26935,
        2.08275,
        2.20089,
        2.11456,
        2.16927,
        2.15883,
        2.21209,
        2.20586,
        2.23778,
        2.2132,
        2.21502,
        2.18507,
        2.20224,
        2.23629,
        2.2364,
        2.26748,
        2.23932,
        2.21367,
        2.20381,
        2.20746,
        2.26126,
        2.29935,
        2.26227,
        2.23462,
        2.26637,
        2.31111,
        2.22319,
        2.26117,
        2.285,
        2.28068,
        2.25495,
        2.29283,
        2.27666,
        2.27582,
        2.26304,
        2.30397,
        2.28491,
        2.24457,
        2.16144,
        2.07945,
        2.1178,
        2.12054,
        2.04691,
        2.04547,
        2.14046,
        2.12012,
        2.35243,
        2.3605,
        2.50909,
        2.49588,
        2.27833,
        2.7523,
        2.44263,
        2.46673,
        2.70434,
        2.64755,
        2.06919,
        2.14922,
        2.39402,
        2.37853,
        2.3329,
        2.31765,
        2.31295,
        2.29082,
        2.30654,
        2.31677,
        2.30128,
        2.28094,
        2.45396,
        2.36875,
        2.32592,
        2.35127,
        2.35808,
        2.40949,
        2.26208,
        2.30449,
        2.31915,
        2.32104,
        2.25184,
        2.31402,
        2.21844,
        2.16655,
        2.18042,
        2.20261,
        2.23522,
        2.26361,
        2.32424,
        2.27003,
        2.26551,
        2.26872,
        2.20184,
        2.17985,
        2.1605,
        2.19945,
        2.20203,
        2.14021,
        2.13753,
        2.26235,
        2.22744,
        2.17822,
        2.22972,
        2.22105,
        2.28072,
        2.43404,
        2.16252,
        2.22566,
        2.32667,
        1.83927,
        2.39098,
        2.29377,
        2.26116,
        2.71944,
        2.41956,
        2.11582,
        2.06104,
        2.15855,
        2.19724,
        2.06272,
        2.03967,
        2.17306,
        2.21067,
        2.01991,
        2.01475,
        2.05764,
        2.05691,
        2.10151,
        2.21669,
        2.15958,
        2.17082,
        2.20903,
        2.16836,
        2.09683,
        2.13262,
        2.18173,
        2.21166,
        2.17815,
        2.0987,
        2.10774,
        2.16021,
        2.19253,
        2.19243,
        2.1719,
        2.0639,
        2.10705,
        2.13983,
        2.1874,
        2.1154,
        2.10713,
        2.13199,
        2.06635,
        2.08259,
        2.08005,
        2.07268,
        2.06652,
        2.16347,
        2.11977,
        2.15423,
        2.14341,
        2.09181,
        2.03135,
        2.08704,
        2.07174,
        2.05616,
        2.10091,
        2.07537,
        2.0992,
        2.14476,
        2.11431,
        2.05892,
        2.10271,
        2.08446,
        2.07364,
        2.06035,
        2.15135,
        2.1857,
        2.07137,
        2.05043,
        2.14047,
        2.13189,
        2.16198,
        2.14082,
        2.09459,
        2.16425,
        2.13323,
        2.12166,
        2.12895,
        2.16053,
        2.11175,
        2.08906,
        2.14067,
        2.10751,
        2.08398,
        2.11385,
        2.10344,
        2.04878,
        2.11853,
        2.14243,
        2.03477,
        2.031,
        2.10065,
        2.08413,
        2.04073,
        2.01123,
        2.01731,
        2.08599,
        2.12854,
        2.0702,
        2.003,
        1.99674,
        1.97115,
        1.98922,
        1.93923,
        2.05694,
        2.09066,
        2.0052,
        2.09234,
        2.01636,
        2.07918,
        2.17983,
        2.06728,
        2.08816,
        2.03779,
        2.04999,
        2.04641,
        2.11148,
        2.14435,
        2.09802,
        2.08192,
        2.09745,
        2.06374,
        2.08888,
        2.05198,
        2.10209,
        2.1124,
        2.08424,
        2.1274,
        2.0974,
        2.15972,
        2.07015,
        2.14098,
        2.06066,
        2.10411,
        2.10635,
        2.12087,
        2.04927,
        2.19616,
        2.07002,
        2.10572,
        2.0231,
        2.07328,
        2.0167,
        2.10106,
        2.09419,
        2.0032,
        2.04638,
        2.07051,
        2.08433,
        2.11787,
        2.09368,
        2.1931,
        2.11197,
        2.12071,
        2.12129,
        2.07293,
        1.98283,
        2.09779,
        2.07548,
        2.0205,
        2.10144,
        2.13897,
        2.15962,
        2.0926,
        2.10688,
        2.11785,
        2.1723,
        2.15826,
        2.08058,
        2.17551,
        2.14118,
        2.09877,
        2.1515,
        2.13698,
        2.1642,
        2.06948,
        2.26315,
        2.19411,
        2.23778,
        1.98591,
        2.19939,
        2.19163,
        2.28493,
        1.85419,
        2.45049,
        2.10972,
        1.83113,
        2.00856,
        2.04993,
        2.09287,
        2.12248,
        2.02111,
        2.02507,
        2.05748,
        2.1922,
        2.07629,
        1.94988,
        1.98972,
        2.14721,
        2.25347,
        2.17878,
        2.14765,
        2.12749,
        2.09905,
        2.18297,
        2.11133,
        2.19745,
        2.13483,
        2.03584,
        2.02645,
        2.00601,
        1.89476,
        1.9138,
        2.02824,
        2.14524,
        2.10114,
        1.95138,
        1.78819,
        2.06636,
        2.13695,
        1.91641,
        1.99894,
        2.1165,
        1.98085,
        1.71121,
        2.23845,
        2.26434,
        2.42273,
        1.82745,
        2.00608,
        2.33768,
        2.28494,
        2.03128,
        2.07201,
        2.15495,
        2.21347,
        2.22214,
        2.14186,
        2.01752,
        1.92307,
        2.1058,
        2.12406,
        1.97264,
        1.91518,
        2.0063,
        1.99007,
        2.26559,
        2.16235,
        2.20641,
        1.98114,
        2.02015,
        2.08993,
        2.11861,
        2.20838,
        2.24406,
        2.31176,
        2.23099,
        2.14567,
        2.24825,
        2.16227,
        2.05726,
        2.17962,
        2.15388,
        2.32637,
        2.28344,
        2.12287,
        2.15895,
        2.15769,
        2.15405,
        2.05551,
        2.085,
        2.13404,
        2.15296,
        2.28912,
        2.24325,
        2.26931,
        2.20618,
        2.1493,
        2.32429,
        2.18238,
        2.22325,
        2.19561,
        2.2987,
        2.20644,
        2.22105,
        2.2475,
        2.05477,
        2.22833,
        2.14204,
        2.16776,
        2.04028,
        2.00214,
        2.14327,
        2.19883,
        2.18529,
        2.15238,
        2.08077,
        2.12304,
        2.16883,
        2.14249,
        2.16525,
        2.23818,
        2.21778,
        2.12851,
        2.20722,
        2.03518,
        2.1727,
        2.07491,
        2.12419,
        2.25214,
        2.12342,
        2.29006,
        2.20541,
        2.10886,
        2.11004,
        2.17781,
        1.95437,
        2.1168,
        2.18671,
        2.08266,
        2.05902,
        2.17834,
        2.17837,
        2.18104,
        2.1079,
        2.22259,
        2.22748,
        2.19915,
        2.08723,
        2.3268,
        2.08868,
        2.34649,
        2.1009,
        1.6616,
        1.91835,
        1.94343,
        2.25527,
        2.19661,
        2.05902,
        2.05604,
        2.29854,
        2.11094,
        2.23098,
        2.04784,
        2.09098,
        2.19879,
        2.07451,
        2.11253,
        2.19556,
        2.24619,
        2.17939,
        2.09287,
        2.22926,
        2.15248,
        2.22783,
        2.00136,
        2.04563,
        2.14051,
        2.11074,
        2.13194,
        2.14901,
        2.03059,
        2.05506,
        2.05256,
        2.14889,
        2.07909,
        2.16273,
        2.18376,
        2.23654,
        2.17189,
        2.13748,
        2.15644,
        2.05788,
        2.05439,
        2.09631,
        2.18835,
        2.1674,
        2.05911,
        2.17655,
        2.10877,
        2.13652,
        2.20423,
        2.31383,
        2.1801,
        2.14008,
        2.03084,
        2.01521,
        2.1788,
        2.14667,
        2.10211,
        2.07977,
        2.12311,
        2.13969,
        2.10471,
        2.1195,
        2.20688,
        2.1765,
        2.08388,
        2.16507,
        2.17642,
        2.14376,
        2.13491,
        2.14497,
        2.20764,
        2.10911,
        2.10722,
        2.15006,
        2.159,
        2.11285,
        2.24343,
        2.19687,
        2.23293,
        2.11488,
        2.11287,
        2.21299,
        2.30611,
        2.36161,
        2.18998,
        2.21218,
        2.28944,
        2.33658,
        2.20742,
        2.33264,
        2.16276,
        2.0956,
        2.25663,
        2.24332,
        2.16792,
        2.25464,
        2.24395,
        2.18906,
        2.33213,
        2.30638,
        2.30992,
        2.18181,
        2.27617,
        2.2757,
        2.25353,
        2.35221,
        2.4149,
        2.25856,
        null,
        2.14712,
        2.11802,
        2.07951,
        2.09096,
        2.11536,
        2.13222,
        2.09282,
        2.06582,
        2.1252,
        2.19124,
        2.09939,
        2.04254,
        2.00422,
        2.05753,
        2.09912,
        2.07288,
        2.02465,
        2.08978,
        2.12566,
        2.06575,
        1.97469,
        2.04622,
        2.08085,
        2.03035,
        2.04212,
        2.01181,
        2.05907,
        2.06727,
        2.04975,
        2.07731,
        2.08553,
        2.14089,
        2.15305,
        2.15847,
        2.06467,
        2.08305,
        2.08001,
        2.06154,
        2.04013,
        2.09272,
        2.12067,
        2.05084,
        2.01971,
        2.08821,
        2.10937,
        2.11767,
        2.14997,
        2.15644,
        2.12888,
        2.04239,
        2.06893,
        2.14999,
        2.14893,
        2.12229,
        2.08973,
        2.06429,
        2.11889,
        2.19852,
        2.06713,
        2.06732,
        2.10358,
        2.16658,
        2.16036,
        2.08447,
        2.09945,
        2.10054,
        2.11958,
        2.167,
        2.16446,
        2.12886,
        2.15115,
        2.16864,
        2.11963,
        2.10977,
        2.13909,
        2.11666,
        2.19699,
        2.15205,
        2.16178,
        2.19133,
        2.17201,
        2.179,
        2.1861,
        2.15486,
        2.14731,
        2.09179,
        2.14565,
        2.12837,
        2.18201,
        2.14135,
        2.10447,
        2.17358,
        2.18819,
        2.11116,
        2.15111,
        2.13428,
        2.16111,
        2.13162,
        2.07823,
        2.06867,
        2.08516,
        2.0978,
        2.04467,
        2.15668,
        2.11718,
        2.11576,
        2.08913,
        2.07015,
        2.05286,
        2.10067,
        2.10944,
        2.08176,
        2.03829,
        2.04083,
        2.05788,
        2.03213,
        2.04098,
        2.06995,
        2.11184,
        2.15726,
        2.15705,
        2.12411,
        2.10634,
        2.06375,
        2.09402,
        2.0904,
        2.15771,
        2.14805,
        2.14636,
        2.12658,
        2.1262,
        2.15985,
        2.15668,
        2.15503,
        2.1178,
        2.12308,
        2.14935,
        2.1401,
        2.14734,
        2.17693,
        2.16981,
        2.1855,
        2.16222,
        2.03671,
        2.02176,
        2.12838,
        2.05278,
        2.01174,
        2.01321,
        2.0267,
        2.16955,
        2.10702,
        2.14988,
        2.21646,
        2.11498,
        2.1419,
        2.22403,
        2.13705,
        2.0849,
        2.12281,
        2.09966,
        2.05292,
        2.12431,
        2.16709,
        2.17065,
        2.08129,
        2.09177,
        2.13798,
        2.10314,
        2.18612,
        2.21162,
        2.16512,
        2.20671,
        2.22566,
        2.08708,
        2.14087,
        2.14109,
        2.10381,
        2.12075,
        2.15505,
        2.08977,
        2.07643,
        2.05996,
        2.05554,
        2.11698,
        2.1366,
        2.11049,
        2.13504,
        2.10632,
        2.07014,
        2.02604,
        2.04862,
        2.13061,
        2.17429,
        2.13177,
        2.19913,
        2.10498,
        2.09989,
        2.13104,
        2.10064,
        2.08047,
        2.15902,
        2.11657,
        2.06474,
        2.06145,
        2.09073,
        1.98889,
        2.02357,
        2.18178,
        2.1483,
        2.11803,
        2.15959,
        2.1531,
        2.11762,
        2.20891,
        2.16662,
        2.07097,
        2.10009,
        2.06941,
        2.06744,
        2.14203,
        2.12496,
        2.13796,
        2.12208,
        2.06455,
        1.98124,
        2.1141,
        2.15141,
        2.17002,
        2.17041,
        2.075,
        2.07627,
        2.09148,
        2.16408,
        2.10411,
        2.04997,
        2.14262,
        2.33404,
        2.3584,
        2.17078,
        2.30892,
        2.0799,
        2.48184,
        2.44442,
        2.68223,
        2.31481,
        2.49703,
        2.25169,
        2.08898,
        2.14596,
        2.11416,
        2.039,
        2.23568,
        2.27476,
        2.37156,
        2.24473,
        2.13075,
        2.23417,
        2.43108,
        2.44051,
        2.35679,
        2.3372,
        2.24416,
        2.32789,
        2.43125,
        2.34486,
        2.36847,
        2.21456,
        2.26359,
        2.33607,
        2.33053,
        2.0808,
        2.15997,
        2.23674,
        2.13719,
        2.24175,
        2.45919,
        2.46036,
        2.37714,
        2.37261,
        2.30279,
        2.28368,
        2.30383,
        2.22906,
        2.2884,
        2.3523,
        2.36181,
        2.2899,
        2.39846,
        2.3775,
        2.26435,
        2.27805,
        2.26199,
        2.25184,
        2.29954,
        2.32444,
        2.27549,
        2.19084,
        2.17014,
        2.26394,
        2.26265,
        2.37299,
        2.32921,
        2.3149,
        2.18853,
        2.12533,
        2.21538,
        2.33078,
        2.27536,
        2.16573,
        2.13057,
        2.19167,
        2.22532,
        2.19492,
        2.21626,
        2.19826,
        2.20884,
        2.23045,
        2.20056,
        2.1577,
        2.22298,
        2.23671,
        2.16602,
        2.12383,
        2.21187,
        2.21923,
        2.13432,
        2.1788,
        2.14576,
        2.1219,
        2.1444,
        2.15975,
        2.07921,
        2.08327,
        2.07604,
        2.10752,
        2.18816,
        2.15121,
        2.08748,
        2.01371,
        2.12895,
        2.13842,
        2.09742,
        2.11142,
        2.08312,
        2.07248,
        2.09476,
        2.09849,
        2.08998,
        2.08788,
        2.06247,
        2.08802,
        2.09301,
        2.04644,
        2.07476,
        2.08767,
        2.10536,
        2.05572,
        2.04251,
        2.07262,
        2.04225,
        2.03663,
        2.01623,
        1.99305,
        2.05403,
        2.04015,
        1.98599,
        2.02624,
        2.07605,
        2.0742,
        2.08603,
        2.12538,
        2.13418,
        2.12919,
        2.14264,
        2.0618,
        2.04978,
        2.05108,
        2.10047,
        2.06581,
        2.07223,
        2.05829,
        2.07533,
        2.10839,
        2.06249,
        2.07242,
        2.12828,
        2.14522,
        2.10691,
        2.09106,
        2.04779,
        2.0475,
        2.08726,
        2.13506,
        2.1447,
        2.09925,
        2.07667,
        2.11419,
        2.07609,
        2.06309,
        2.08916,
        2.12559,
        2.12036,
        2.14264,
        2.11301,
        2.096,
        2.14304,
        2.13234,
        2.06792,
        2.10699,
        2.05474,
        2.06708,
        2.1292,
        2.1279,
        2.11714,
        2.1242,
        2.11619,
        2.09262,
        2.07529,
        2.09613,
        2.13401,
        2.0701,
        2.08167,
        2.08479,
        2.08433,
        2.08309,
        2.09529,
        2.07523,
        2.05585,
        2.08013,
        2.1074,
        2.09687,
        2.03357,
        2.04667,
        2.05843,
        2.08019,
        2.0565,
        2.03307,
        2.12915,
        2.13916,
        2.12889,
        2.07582,
        2.09612,
        2.1224,
        2.1322,
        2.09973,
        2.11417,
        2.14249,
        2.15932,
        2.09756,
        2.11867,
        2.09537,
        2.20429,
        2.17558,
        2.08435,
        2.12119,
        2.14496,
        2.08801,
        2.14873,
        2.09248,
        2.05932,
        2.14464,
        2.09688,
        2.09671,
        2.07791,
        2.04216,
        2.07283,
        2.07854,
        2.14092,
        2.06839,
        2.01724,
        2.12486,
        2.0559,
        1.97655,
        2.05646,
        2.17696,
        2.18888,
        2.10915,
        2.088,
        2.10753,
        2.13806,
        2.12405,
        2.12591,
        2.07396,
        2.14639,
        2.0702,
        1.94442,
        2.01834,
        2.07272,
        2.1,
        2.08639,
        2.10892,
        2.07134,
        2.06239,
        2.02966,
        2.05719,
        2.08662,
        2.03649,
        1.99556,
        1.9768,
        2.02748,
        2.16679,
        2.12963,
        2.1317,
        2.14399,
        2.07955,
        2.1002,
        2.1412,
        2.09138,
        2.11369,
        2.0834,
        2.12054,
        2.10229,
        2.0558,
        2.02137,
        2.01674,
        2.05323,
        2.05731,
        2.03492,
        2.07761,
        2.08449,
        2.09415,
        2.10053,
        2.09434,
        2.06298,
        2.11733,
        2.08785,
        2.10983,
        2.11545,
        2.08981,
        2.09014,
        2.11626,
        2.07853,
        2.09896,
        2.1051,
        2.13011,
        2.07784,
        2.08627,
        2.07245,
        2.04647,
        2.07581,
        2.086,
        2.10491,
        2.12152,
        2.17198,
        2.10123,
        2.15458,
        2.19974,
        2.11793,
        2.11291,
        2.07997,
        2.12432,
        2.12335,
        2.18222,
        2.13729,
        2.11194,
        2.19846,
        2.17099,
        2.10292,
        2.16768,
        2.13431,
        2.17726,
        2.16258,
        2.16723,
        2.1117,
        2.18817,
        2.19221,
        2.19829,
        2.16763,
        2.05639,
        2.13546,
        2.14007,
        2.10088,
        2.14996,
        2.14802,
        2.14532,
        2.15423,
        2.13126,
        2.08808,
        2.08859,
        2.17782,
        2.10241,
        2.11419,
        2.14577,
        2.14775,
        2.153,
        2.04123,
        2.07421,
        2.12384,
        2.11895,
        2.10581,
        2.1322,
        2.16744,
        2.14047,
        2.11434,
        2.11892,
        2.13982,
        2.13812,
        2.16713,
        2.0983,
        2.12855,
        2.14106,
        2.06786,
        2.12901,
        2.11267,
        2.05019,
        2.08953,
        2.08354,
        2.07274,
        2.12576,
        2.12875,
        2.10081,
        2.169,
        2.14271,
        2.12979,
        2.1574,
        2.12632,
        2.22665,
        2.16997,
        2.20808,
        2.07535,
        2.16632,
        2.17256,
        2.02461,
        2.08318,
        2.19685,
        2.22364,
        2.11748,
        2.0246,
        2.04359,
        2.02201,
        2.00531,
        1.60824,
        2.04399,
        2.09324,
        2.16439,
        1.99777,
        2.21333,
        2.28333,
        2.26172,
        2.21627,
        2.22237,
        2.19596,
        2.13019,
        2.14679,
        2.17714,
        2.1995,
        2.12741,
        2.12076,
        2.14636,
        2.19566,
        2.07678,
        2.16351,
        2.05213,
        2.12085,
        2.18567,
        2.14999,
        2.10983,
        2.20213,
        2.12551,
        2.10268,
        2.11704,
        2.10005,
        2.12646,
        2.08237,
        2.15773,
        2.16165,
        2.13695,
        2.17236,
        2.16525,
        2.14803,
        2.10625,
        2.17506,
        2.19974,
        2.14012,
        2.17647,
        2.10117,
        2.12904,
        2.14064,
        2.18058,
        2.18586,
        2.1014,
        2.15844,
        2.18452,
        2.2088,
        2.13761,
        2.13175,
        2.134,
        2.15636,
        2.0649,
        2.04525,
        2.07205,
        2.08718,
        2.10217,
        2.14125,
        2.08448,
        2.10684,
        2.10469,
        2.1424,
        2.09038,
        2.06611,
        2.10667,
        2.12004,
        2.08454,
        2.13676,
        2.0837,
        2.05475,
        2.11555,
        2.10481,
        2.08236,
        2.13033,
        2.0423,
        2.06809,
        2.09623,
        2.09461,
        2.06961,
        2.12849,
        2.09278,
        2.01218,
        2.09136,
        2.06954,
        2.0543,
        2.07456,
        2.09459,
        2.07918,
        2.12683,
        2.08586,
        2.09802,
        2.08993,
        2.11787,
        2.12944,
        2.07106,
        2.0781,
        2.06478,
        2.09709,
        2.10618,
        2.0614,
        2.09182,
        2.14092,
        2.15972,
        2.16858,
        2.14182,
        2.15721,
        2.12013,
        2.12473,
        2.17058,
        2.14605,
        2.13066,
        2.10602,
        2.12902,
        2.13916,
        2.15338,
        2.19997,
        2.1618,
        2.1346,
        2.16222,
        2.12426,
        2.1384,
        2.1332,
        2.07327,
        2.09795,
        2.16856,
        2.22138,
        2.18269,
        2.15865,
        2.16749,
        2.17063,
        2.16873,
        2.21443,
        2.24872,
        2.21095,
        2.25872,
        2.25333,
        2.21446,
        2.21009,
        2.22142,
        2.2447,
        2.25783,
        2.2437,
        2.21491,
        2.17227,
        2.22981,
        2.25236,
        2.22853,
        2.23411,
        2.24147,
        2.20072,
        2.18446,
        2.19081,
        2.08083,
        2.08289,
        2.12726,
        2.15717,
        2.22334,
        2.21483,
        2.20999,
        2.25541,
        2.34257,
        2.38219,
        2.2859,
        2.25232,
        2.30416,
        2.30997,
        2.27776,
        2.33198,
        2.23653,
        2.26723,
        2.29489,
        2.29069,
        2.23486,
        2.24845,
        2.25122,
        2.2908,
        2.25847,
        2.31043,
        2.28202,
        2.26488,
        2.27243,
        2.31069,
        2.28278,
        2.34229,
        2.33147,
        2.32211,
        2.31191,
        2.25833,
        2.29256,
        2.23437,
        2.28371,
        2.26092,
        2.24627,
        2.22052,
        2.24398,
        2.24871,
        2.26836,
        2.28554,
        2.26104,
        2.2414,
        2.23473,
        2.18625,
        2.20569,
        2.22863,
        2.22362,
        2.16122,
        2.20605,
        2.20996,
        2.18365,
        2.17224,
        2.25274,
        2.2103,
        2.14567,
        2.18572,
        2.28467,
        2.18626,
        2.19351,
        2.20083,
        2.22464,
        2.19248,
        2.20057,
        2.17696,
        2.14858,
        2.17599,
        2.18318,
        2.18109,
        2.16847,
        2.1396,
        2.17639,
        2.23191,
        2.13811,
        2.14082,
        2.20267,
        2.17455,
        2.13802,
        2.1164,
        2.13522,
        2.20015,
        2.20342,
        2.236,
        2.17802,
        2.21542,
        2.17447,
        2.08523,
        2.08655,
        2.11484,
        2.10181,
        2.08782,
        2.1328,
        2.09931,
        2.14369,
        2.09645,
        2.12696,
        2.13383,
        2.15107,
        2.08982,
        2.09844,
        2.10603,
        2.09244,
        2.10091,
        2.13154,
        2.12707,
        2.11365,
        2.15745,
        2.12163,
        2.11525,
        2.05993,
        2.08519,
        2.08231,
        2.11913,
        2.15676,
        2.08998,
        2.11106,
        2.13622,
        2.08691,
        2.14235,
        2.18209,
        2.08093,
        2.1463,
        2.13459,
        2.12943,
        2.16507,
        2.11204,
        2.06906,
        2.06626,
        2.06327,
        2.04654,
        2.121,
        2.08297,
        2.06748,
        2.09137,
        2.0807,
        2.05952,
        2.03268,
        2.07459,
        2.10684,
        2.11708,
        2.07004,
        2.10725,
        2.10487,
        2.17019,
        2.1099,
        2.08842,
        2.12182,
        2.05172,
        2.09601,
        2.10397,
        2.14309,
        2.11717,
        2.06987,
        2.1519,
        2.14888,
        2.12921,
        2.11567,
        2.09034,
        2.15696,
        2.09557,
        2.12474,
        2.07594,
        2.10982,
        2.13678,
        2.14494,
        2.12411,
        2.08127,
        2.12069,
        2.15853,
        2.14972,
        2.1255,
        2.08907,
        2.07311,
        2.03576,
        2.11843,
        2.10629,
        2.05119,
        2.10251,
        2.06349,
        2.11506,
        2.04861,
        2.06415,
        2.12163,
        2.08963,
        2.1028,
        2.06231,
        2.05431,
        2.09495,
        2.0907,
        2.12342,
        2.10225,
        2.04816,
        2.03132,
        2.10284,
        2.15929,
        2.11814,
        2.09784,
        2.0509,
        2.07669,
        2.09246,
        2.06902,
        2.02159,
        2.06076,
        2.07971,
        2.09751,
        2.13298,
        2.11751,
        2.09794,
        2.0843,
        2.07741,
        2.13033,
        2.1344,
        2.12816,
        2.10013,
        2.16716,
        2.16429,
        2.14821,
        2.11487,
        2.12536,
        2.08903,
        2.1817,
        2.13322,
        2.10043,
        2.15507,
        2.15695,
        2.10609,
        2.087,
        2.18144,
        2.16294,
        2.15966,
        2.1726,
        2.14228,
        2.09436,
        2.10452,
        2.09036,
        2.16453,
        2.1736,
        2.14536,
        2.114,
        2.1188,
        2.08477,
        2.10881,
        2.10851,
        2.10513,
        2.08273,
        2.14551,
        2.09628,
        2.07279,
        2.15189,
        2.14407,
        2.09274,
        2.05609,
        2.0742,
        2.10321,
        2.15293,
        2.11913,
        2.14531,
        2.10753,
        2.14716,
        2.15583,
        2.05282,
        2.03879,
        2.02987,
        2.08026,
        2.03623,
        2.08219,
        2.05508,
        2.11242,
        2.10608,
        2.11474,
        2.07823,
        2.1086,
        2.0939,
        2.06538,
        2.12592,
        2.06815,
        2.04427,
        2.06624,
        2.05467,
        2.1069,
        2.109,
        2.0941,
        2.11515,
        2.07466,
        2.04276,
        2.07039,
        2.08818,
        2.03795,
        2.0728,
        2.02987,
        2.15068,
        2.15957,
        2.10334,
        2.07461,
        2.14266,
        2.15254,
        2.15247,
        2.16659,
        2.07799,
        2.16716,
        2.16001,
        2.12552,
        2.11263,
        2.19442,
        2.16242,
        2.06035,
        2.18694,
        2.1633,
        2.1874,
        2.09895,
        2.13312,
        2.18237,
        2.19334,
        2.18187,
        2.12295,
        2.22486,
        2.12987,
        2.09783,
        2.11854,
        2.18276,
        2.20576,
        2.24022,
        2.24141,
        2.13926,
        2.20134,
        2.18824,
        2.13908,
        2.15711,
        2.17789,
        2.15914,
        2.15493,
        2.17363,
        2.21808,
        2.1456,
        2.12987,
        2.13517,
        2.15676,
        2.15237,
        2.1094,
        2.0716,
        2.07957,
        2.1432,
        2.1224,
        2.09011,
        2.13675,
        2.13194,
        2.09097,
        2.06713,
        2.09476,
        2.05936,
        2.0733,
        2.10936,
        2.10185,
        2.0897,
        2.13248,
        2.1289,
        2.14293,
        2.1045,
        2.09514,
        2.1104,
        2.03774,
        2.0827,
        2.10013,
        2.12213,
        2.13795,
        2.12817,
        2.13531,
        2.08134,
        2.10778,
        2.09161,
        2.07973,
        2.10562,
        2.16544,
        2.14466,
        2.15506,
        2.11749,
        2.12267,
        2.12116,
        2.15307,
        2.08687,
        2.095,
        2.13844,
        2.13062,
        2.13739,
        2.14798,
        2.09013,
        2.10752,
        2.12224,
        2.16214,
        2.15062,
        2.10879,
        2.13036,
        2.13141,
        2.17376,
        2.22288,
        2.11466,
        2.07022,
        2.1693,
        2.13913,
        2.04478,
        2.05735,
        2.10359,
        2.16542,
        2.15516,
        2.09686,
        2.13314,
        2.07614,
        2.11435,
        2.13634,
        2.08154,
        2.08118,
        2.12074,
        2.11431,
        2.08217,
        2.10144,
        2.13491,
        2.08662,
        2.15058,
        2.10844,
        2.11605,
        2.0822,
        2.09838,
        2.12951,
        2.1052,
        2.11132,
        2.1393,
        2.13756,
        2.1118,
        2.09023,
        2.15255,
        2.12651,
        2.08562,
        2.08847,
        2.10364,
        2.09717,
        2.0578,
        2.07257,
        2.04935,
        2.04338,
        2.09477,
        2.11881,
        2.16041,
        2.16345,
        2.1253,
        2.11792,
        2.08855,
        2.06721,
        2.0767,
        2.11558,
        2.11497,
        2.11939,
        2.05744,
        2.09506,
        2.10021,
        2.11536,
        2.09342,
        2.15565,
        2.10322,
        2.08425,
        2.0923,
        2.03651,
        1.99189,
        2.10103,
        2.09796,
        2.06615,
        2.13087,
        2.05986,
        2.09062,
        2.11512,
        2.15001,
        2.13445,
        2.05201,
        2.0301,
        2.05703,
        2.06756,
        2.08017,
        2.06796,
        2.07349,
        2.15436,
        2.12853,
        2.13321,
        2.10418,
        2.12795,
        2.13401,
        2.09064,
        2.07969,
        2.01169,
        2.07596,
        2.13741,
        2.11732,
        2.14385,
        2.14978,
        2.15705,
        2.14112,
        2.10092,
        2.04517,
        2.0186,
        2.00206,
        2.05512,
        2.1264,
        2.12667,
        2.16193,
        2.07592,
        2.1131,
        2.20878,
        2.10163,
        2.10116,
        2.08038,
        1.97211,
        2.07028,
        2.15162,
        2.06564,
        2.11876,
        2.10107,
        2.05596,
        2.05089,
        2.10545,
        2.05954,
        2.06359,
        2.02645,
        2.10865,
        2.09919,
        2.0742,
        2.1036,
        2.09173,
        2.09913,
        2.14573,
        2.16882,
        2.2147,
        2.14551,
        2.15149,
        2.20277,
        2.21278,
        2.15469,
        2.11493,
        2.17912,
        2.22779,
        2.16587,
        2.23055,
        2.20856,
        2.19156,
        2.14629,
        2.22249,
        2.28241,
        2.27632,
        2.21698,
        2.22714,
        2.2343,
        2.22025,
        2.27289,
        2.19606,
        2.20188,
        2.25005,
        2.20838,
        2.21601,
        2.28783,
        2.23766,
        2.19228,
        2.22172,
        2.22018,
        2.25512,
        2.18312,
        2.14691,
        2.17413,
        2.18712,
        2.191,
        2.17205,
        2.24128,
        2.22584,
        2.24736,
        2.17868,
        2.22192,
        2.23731,
        2.2216,
        2.25514,
        2.36018,
        2.3131,
        2.3621,
        2.31764,
        2.29061,
        2.2759,
        2.32169,
        2.24496,
        2.29546,
        2.34822,
        2.2581,
        2.29502,
        2.30112,
        2.25108,
        2.23461,
        2.22524,
        2.31115,
        2.25025,
        2.32735,
        2.26111,
        2.21465,
        2.37941,
        2.31281,
        2.29132,
        2.30561,
        2.30094,
        2.27042,
        2.24095,
        2.18292,
        2.34009,
        2.29707,
        2.23791,
        2.15838,
        2.21345,
        2.22896,
        2.34082,
        2.32469,
        2.28814,
        2.27876,
        2.262,
        2.227,
        2.1974,
        2.2067,
        2.23517,
        2.22236,
        2.19371,
        2.23833,
        2.24856,
        2.288,
        2.18227,
        2.23133,
        2.26243,
        2.29458,
        2.25179,
        2.2149,
        2.14015,
        2.23225,
        2.2938,
        2.20789,
        2.17105,
        2.16829,
        2.186,
        2.15111,
        2.19935,
        2.20071,
        2.1932,
        2.21055,
        2.15947,
        2.19217,
        2.16201,
        2.16675,
        2.14557,
        2.11077,
        2.11469,
        2.09772,
        2.16109,
        2.10864,
        2.17555,
        2.23282,
        2.20845,
        2.23759,
        2.13682,
        1.98308,
        2.12225,
        2.05117,
        2.00164,
        1.95739,
        2.04719,
        2.12048,
        2.09316,
        2.16183,
        2.22223,
        2.12901,
        2.06882,
        2.05438,
        2.09966,
        2.14428,
        2.24297,
        2.2101,
        2.15551,
        2.22986,
        1.97827,
        1.78298,
        1.81836,
        1.90894,
        2.2882,
        2.10889,
        2.09516,
        1.70401,
        2.10636,
        2.12148,
        2.12478,
        2.08618,
        2.24206,
        2.1474,
        2.14942,
        2.25929,
        2.11484,
        2.11786,
        2.1159,
        2.1041,
        2.08116,
        2.05135,
        2.02943,
        2.0519,
        2.12775,
        2.02036,
        1.9987,
        2.0667,
        2.0905,
        1.96799,
        2.11265,
        2.12793,
        1.83138,
        1.59667,
        2.06764,
        2.23441,
        2.3526,
        2.13973,
        2.42491,
        2.1018,
        1.81296,
        1.98903,
        2.07209,
        2.23874,
        1.94672,
        2.02108,
        2.1411,
        2.15893,
        2.13727,
        2.06442,
        1.9835,
        2.05996,
        2.18924,
        2.11717,
        2.11526,
        2.00277,
        2.04136,
        2.0542,
        2.15625,
        2.15726,
        2.00323,
        2.03707,
        2.14935,
        2.05633,
        2.0291,
        2.12595,
        2.09269,
        2.07375,
        2.07397,
        2.10796,
        2.23608,
        2.13971,
        2.08227,
        2.08609,
        2.07616,
        2.15174,
        2.12556,
        2.05201,
        2.09201,
        2.0602,
        2.08922,
        2.13451,
        2.06489,
        2.00309,
        2.13054,
        2.13485,
        2.1364,
        2.09811,
        2.18947,
        2.20763,
        2.1654,
        2.11552,
        2.01633,
        2.15463,
        2.04935,
        2.03723,
        2.02604,
        2.07538,
        2.13805,
        2.08936,
        2.09974,
        2.13788,
        2.11663,
        2.14815,
        2.09536,
        2.08325,
        2.07598,
        2.10967,
        2.07144,
        2.04386,
        2.08084,
        2.03476,
        2.0938,
        2.17424,
        2.16881,
        2.13631,
        2.16541,
        2.08118,
        2.14766,
        2.18251,
        2.17741,
        2.13313,
        2.10058,
        2.15284,
        2.11862,
        2.13358,
        2.18476,
        2.10267,
        2.14347,
        2.19968,
        2.16789,
        2.12941,
        2.10922,
        2.11326,
        2.10148,
        2.17767,
        2.15738,
        2.19921,
        2.19884,
        2.17776,
        2.12454,
        2.09532,
        2.16201,
        2.16393,
        2.15853,
        2.10612,
        2.14845,
        2.20226,
        2.14827,
        2.13578,
        2.14195,
        2.21457,
        2.2679,
        2.13128,
        2.15665,
        2.1699,
        2.17968,
        2.08518,
        2.16051,
        2.16793,
        2.12474,
        2.16136,
        2.19352,
        2.23183,
        2.19652,
        2.18038,
        2.17248,
        2.17494,
        2.16903,
        2.06334,
        2.1121,
        2.17414,
        2.11312,
        2.19065,
        2.17756,
        2.22188,
        2.20339,
        2.09385,
        2.14451,
        2.13,
        2.14164,
        2.15025,
        2.11711,
        2.08998,
        2.11266,
        2.03804,
        2.01763,
        2.08043,
        2.18721,
        2.14592,
        2.04649,
        2.09303,
        2.08709,
        2.10223,
        2.12837,
        2.14809,
        2.04691,
        2.04161,
        2.09055,
        2.07177,
        2.02931,
        2.0726,
        2.07876,
        2.157,
        2.1797,
        2.11235,
        2.06211,
        2.06944,
        2.10687,
        2.08142,
        2.13871,
        2.1506,
        2.18383,
        2.23338,
        2.14679,
        2.24466,
        2.18592,
        2.0782,
        2.07002,
        2.06518,
        2.05583,
        2.19686,
        2.18712,
        2.11184,
        2.10268,
        2.09514,
        2.07766,
        2.16826,
        2.22565,
        2.14405,
        2.18622,
        2.13039,
        2.18243,
        2.15576,
        2.15457,
        2.1735,
        2.12845,
        2.17604,
        2.11673,
        2.13817,
        2.19936,
        2.10459,
        2.06415,
        2.03543,
        2.13609,
        2.0854,
        2.08667,
        2.1735,
        2.14943,
        2.05162,
        2.04542,
        2.05163,
        2.17866,
        2.20503,
        2.19586,
        2.19054,
        2.10791,
        2.14154,
        2.09575,
        2.12832,
        2.08921,
        2.12339,
        2.11369,
        2.0666,
        2.09709,
        2.01905,
        2.11677,
        2.10054,
        2.08878,
        2.11814,
        2.1668,
        2.14681,
        2.10305,
        2.1773,
        2.1153,
        2.06529,
        2.08501,
        2.13545,
        2.03247,
        1.99197,
        2.06843,
        2.13094,
        2.14141,
        2.05082,
        2.12444,
        2.11697,
        2.11144,
        2.08499,
        2.18368,
        2.03791,
        2.05716,
        2.11862,
        2.13623,
        2.05828,
        2.16572,
        2.13364,
        2.16877,
        2.1374,
        2.05784,
        2.0218,
        2.15692,
        2.18234,
        2.13507,
        2.18346,
        2.16504,
        2.04998,
        2.11161,
        2.09522,
        2.07952,
        2.09634,
        2.01302,
        2.15247,
        1.99694,
        2.01214,
        2.00601,
        2.10732,
        2.15768,
        2.21495,
        2.07071,
        2.1065,
        2.05388,
        2.07053,
        2.08012,
        2.06865,
        2.07084,
        2.12034,
        2.14717,
        2.09661,
        2.06945,
        2.12753,
        1.99136,
        2.05115,
        2.13309,
        2.10988,
        2.09838,
        2.11076,
        2.08657,
        2.09934,
        2.04645,
        2.13267,
        2.1983,
        2.12935,
        1.98989,
        2.15943,
        2.15475,
        2.08546,
        1.98237,
        2.08633,
        2.13,
        2.13932,
        2.24825,
        2.15278,
        2.13432,
        2.15967,
        2.09418,
        2.07748,
        2.16046,
        2.15343,
        2.11841,
        2.04809,
        2.1219,
        1.93589,
        2.02216,
        2.13107,
        2.1904,
        1.98457,
        2.04703,
        2.06107,
        2.06831,
        2.07137,
        2.10679,
        2.06116,
        2.05807,
        2.00443,
        2.04407,
        2.06968,
        2.11352,
        2.18969,
        2.10869,
        2.15565,
        2.12146,
        2.0405,
        2.02415,
        2.0245,
        2.12481,
        2.12299,
        2.18252,
        2.1348,
        2.11014,
        2.14202,
        2.10216,
        2.07606,
        2.1156,
        2.11764,
        2.04145,
        2.13198,
        2.09462,
        2.20073,
        2.18169,
        2.26264,
        2.20633,
        2.23294,
        2.14271,
        2.19882,
        2.2382,
        2.1575,
        2.20138,
        2.0634,
        2.13615,
        2.16297,
        2.14645,
        2.10735,
        2.15462,
        2.13593,
        2.17829,
        2.19496,
        2.22782,
        2.12705,
        2.11147,
        2.15349,
        2.3588,
        2.26855,
        2.20066,
        2.16993,
        2.16026,
        2.12673,
        2.07768,
        2.12185,
        2.39009,
        2.16588,
        2.10249,
        2.22088,
        2.22383,
        2.17961,
        2.16408,
        2.25966,
        2.45426,
        2.26405,
        2.28771,
        2.08037,
        2.16499,
        2.38096,
        2.36792,
        2.18871,
        2.33758,
        2.08636,
        2.19237,
        2.09116,
        2.15712,
        2.13585,
        1.98372,
        2.22519,
        2.51203,
        2.25103,
        2.22941,
        2.32194,
        2.43302,
        2.07884,
        1.98262,
        2.49809,
        2.41795,
        2.00791,
        2.35917,
        2.11772,
        2.34612,
        1.98717,
        2.1276,
        2.31114,
        1.96561,
        2.72915,
        null,
        2.14435,
        2.1155,
        2.09644,
        2.10087,
        2.07206,
        2.11592,
        2.11353,
        2.17693,
        2.17912,
        2.12126,
        2.0479,
        2.12611,
        2.18488,
        2.14079,
        2.16632,
        2.11762,
        2.11183,
        2.11872,
        2.17665,
        2.09988,
        2.12466,
        2.10347,
        2.18869,
        2.22205,
        2.18203,
        2.1593,
        2.13443,
        2.07181,
        2.13051,
        2.13837,
        2.10678,
        2.081,
        2.11977,
        2.06768,
        2.10239,
        2.0517,
        1.98437,
        2.02859,
        2.01495,
        2.08069,
        2.11991,
        2.11416,
        2.12239,
        2.15164,
        2.15997,
        2.16386,
        2.09335,
        2.05945,
        2.09995,
        2.16796,
        2.017,
        2.03392,
        2.04961,
        2.17701,
        2.13894,
        2.1319,
        2.14923,
        2.13317,
        2.05232,
        1.9751,
        2.04044,
        2.04337,
        2.06832,
        2.0676,
        2.12376,
        2.16793,
        2.17135,
        2.21329,
        2.17215,
        2.18319,
        2.04494,
        1.99173,
        2.14049,
        2.2127,
        2.11466,
        2.09414,
        2.14436,
        2.10798,
        2.10018,
        2.15622,
        2.04729,
        1.97895,
        2.09925,
        2.13934,
        2.08495,
        2.1934,
        2.16802,
        1.97133,
        1.94918,
        2.13258,
        2.13948,
        2.14178,
        2.20623,
        2.08208,
        2.12251,
        2.14006,
        2.10112,
        2.12897,
        2.1614,
        2.17567,
        2.06733,
        2.05985,
        2.15341,
        2.05973,
        2.03806,
        2.16904,
        2.17025,
        2.07383,
        2.01063,
        2.08994,
        2.18837,
        2.04787,
        2.07527,
        2.07417,
        2.10573,
        2.13562,
        2.16815,
        2.17294,
        1.93419,
        2.25039,
        2.18455,
        2.0781,
        1.97614,
        2.07879,
        2.1607,
        2.3107,
        2.28287,
        1.99785,
        2.1943,
        2.20797,
        2.30645,
        2.35616,
        1.90945,
        2.22805,
        2.22507,
        2.23761,
        2.43984,
        2.35214,
        2.16488,
        2.13746,
        2.0894,
        2.17596,
        2.1769,
        2.4643,
        2.56449,
        2.28529,
        2.10889,
        1.97235,
        2.06638,
        2.00311,
        2.03501,
        2.10172,
        2.17062,
        2.17272,
        2.17767,
        2.27868,
        2.13772,
        2.54862,
        2.28296,
        2.06594,
        2.14688,
        2.0566,
        2.07216,
        2.01091,
        2.1378,
        2.30523,
        1.99432,
        1.88937,
        2.0925,
        2.2572,
        2.29098,
        2.32311,
        2.54476,
        1.99207,
        2.17288,
        1.91782,
        2.35952,
        2.35643,
        2.32793,
        2.41293,
        2.4729,
        2.34593,
        2.27971,
        2.16735,
        2.21124,
        2.09194,
        2.29726,
        2.33172,
        2.20106,
        2.34752,
        2.42559,
        2.46266,
        2.16751,
        2.21873,
        2.19158,
        2.33389,
        2.32028,
        2.07688,
        2.35546,
        2.56095,
        2.41337,
        2.20176,
        2.14813,
        2.07437,
        2.17128,
        2.36294,
        2.18769,
        2.06433,
        2.20441,
        2.27195,
        2.26897,
        2.18323,
        2.15408,
        2.18548,
        2.19852,
        2.1016,
        2.12281,
        2.31809,
        2.18142,
        1.97213,
        2.1093,
        2.24952,
        2.26378,
        2.13473,
        2.20413,
        2.25244,
        2.24183,
        2.10406,
        1.98775,
        2.06774,
        2.11062,
        2.14236,
        2.20138,
        2.06212,
        2.23293,
        2.27773,
        2.21301,
        2.35107,
        2.38617,
        2.12315,
        2.10984,
        2.13999,
        2.20025,
        2.20399,
        2.2008,
        2.0285,
        2.14121,
        2.13502,
        2.22357,
        2.14459,
        2.05233,
        2.21676,
        2.19042,
        2.05087,
        2.2119,
        2.04747,
        2.22413,
        2.10167,
        2.11676,
        2.26283,
        2.24242,
        2.08907,
        2.05628,
        2.0596,
        2.11498,
        2.09238,
        2.11015,
        2.22433,
        2.18789,
        1.72485,
        1.90654,
        2.122,
        2.23268,
        2.06043,
        2.30538,
        1.96133,
        2.19341,
        2.23817,
        2.12453,
        2.21206,
        2.29621,
        2.31047,
        2.34312,
        null,
        2.30173,
        2.25266,
        2.0811,
        2.26637,
        2.31012,
        2.41451,
        2.04857,
        2.37822,
        1.93419,
        2.23857,
        2.06587,
        2.03507,
        2.117,
        2.0885,
        2.24507,
        2.03742,
        2.08738,
        2.10623,
        2.22601,
        2.09761,
        2.09359,
        2.0446,
        2.02914,
        2.1349,
        1.91083,
        2.09312,
        2.12019,
        2.09947,
        2.08246,
        2.07623,
        2.32948,
        2.17692,
        2.13427,
        2.26197,
        2.28465,
        2.19299,
        2.16419,
        2.2219,
        2.32445,
        2.21175,
        2.19531,
        2.14311,
        1.93883,
        2.0412,
        2.23283,
        2.08358,
        2.25959,
        2.27916,
        2.10031,
        2.13326,
        2.10747,
        2.13494,
        2.15807,
        2.17701,
        2.03364,
        2.1622,
        2.24071,
        2.20694,
        2.08984,
        2.17908,
        2.07392,
        2.07473,
        2.18689,
        2.13726,
        2.09143,
        2.0601,
        2.10738,
        2.21981,
        2.10582,
        2.13812,
        2.32988,
        2.12363,
        2.22221,
        2.2214,
        2.1696,
        2.12899,
        2.07269,
        2.12568,
        2.16003,
        2.16203,
        2.11481,
        2.0215,
        2.04356,
        2.13772,
        2.1038,
        2.06218,
        2.12377,
        2.0598,
        2.1503,
        2.10045,
        2.11393,
        2.08872,
        2.16272,
        2.07932,
        2.09252,
        2.11047,
        2.14808,
        2.09411,
        2.01667,
        2.058,
        2.15364,
        2.14898,
        2.12616,
        2.1144,
        2.10063,
        2.11704,
        2.17666,
        2.11815,
        2.11427,
        2.10494,
        2.08564,
        2.04724,
        2.14851,
        2.16251,
        2.10333,
        2.12093,
        2.17589,
        2.21496,
        2.07093,
        2.10977,
        2.12646,
        2.14732,
        2.15213,
        2.14782,
        2.12589,
        2.16928,
        2.10459,
        2.17834,
        2.11662,
        2.05341,
        2.1637,
        2.18437,
        2.19709,
        2.06656,
        2.04304,
        2.10942,
        2.21182,
        2.11142,
        2.11412,
        2.12261,
        2.08958,
        2.11967,
        2.11267,
        2.10969,
        2.16261,
        2.12439,
        2.10575,
        2.09876,
        2.08129,
        2.08756,
        2.18046,
        2.13446,
        2.00284,
        2.04242,
        2.06243,
        2.12766,
        2.12253,
        2.06386,
        2.11958,
        2.18713,
        2.18644,
        2.10988,
        2.08839,
        2.23,
        2.14099,
        2.14563,
        2.10499,
        2.1304,
        2.24423,
        2.09949,
        2.12457,
        2.15786,
        2.03047,
        2.0683,
        2.13918,
        2.08485,
        2.18412,
        2.14964,
        2.08607,
        2.03275,
        1.98255,
        2.18176,
        2.13325,
        2.12605,
        2.10857,
        2.08266,
        2.08168,
        2.06245,
        2.16141,
        2.14239,
        2.12885,
        2.14808,
        2.12915,
        2.10226,
        2.19169,
        2.13993,
        2.02764,
        2.07083,
        2.12804,
        2.14554,
        2.16164,
        2.13002,
        2.1015,
        2.07143,
        2.14247,
        2.1355,
        2.12431,
        2.10101,
        2.15119,
        2.15366,
        2.13084,
        2.09632,
        2.18749,
        2.14755,
        2.11466,
        2.19218,
        2.12269,
        2.12336,
        2.12729,
        2.06554,
        2.12035,
        2.12695,
        2.13198,
        2.1256,
        2.17149,
        2.12246,
        2.12061,
        2.14872,
        2.0894,
        2.16118,
        2.15142,
        2.10289,
        2.14093,
        2.18667,
        2.15173,
        2.0855,
        2.15718,
        2.17948,
        2.17057,
        2.17717,
        2.20839,
        2.11134,
        2.13955,
        2.17616,
        2.08041,
        2.14854,
        2.14476,
        2.16895,
        2.13943,
        2.13655,
        2.1298,
        2.12567,
        2.08531,
        2.10008,
        2.13914,
        2.18947,
        2.11643,
        2.19638,
        2.21028,
        2.16454,
        2.1602,
        2.11727,
        2.09612,
        2.21158,
        2.19758,
        2.13173,
        2.1611,
        2.06529,
        2.11958,
        2.17776,
        2.15252,
        2.19154,
        2.14066,
        2.11241,
        2.14499,
        2.15248,
        2.17618,
        2.20813,
        2.19018,
        2.14167,
        2.1914,
        2.13031,
        2.1409,
        2.15781,
        2.23305,
        2.1546,
        2.17803,
        2.17973,
        2.18572,
        2.18818,
        2.14495,
        2.19246,
        2.19693,
        2.18915,
        2.24422,
        2.24009,
        2.23701,
        2.20215,
        2.26408,
        2.36084,
        2.32027,
        2.30014,
        2.25711,
        2.25608,
        2.23714,
        2.29556,
        2.26286,
        2.2525,
        2.26838,
        2.24005,
        2.24461,
        2.26664,
        2.22708,
        2.3004,
        2.24718,
        2.24223,
        2.25779,
        2.24395,
        2.23007,
        2.20767,
        2.20489,
        2.17745,
        2.20552,
        2.24128,
        2.23101,
        2.24008,
        2.27391,
        2.32698,
        2.24628,
        2.27871,
        2.34227,
        2.36235,
        2.37631,
        2.26419,
        2.23235,
        2.23624,
        2.32676,
        2.30488,
        2.30218,
        2.26345,
        2.2564,
        2.22776,
        2.23697,
        2.16553,
        2.20898,
        2.20088,
        2.26692,
        2.27587,
        2.29642,
        2.27301,
        2.23333,
        2.24745,
        2.32565,
        2.30432,
        2.26378,
        2.27577,
        2.36642,
        2.30055,
        2.2464,
        2.26361,
        2.29867,
        2.21738,
        2.27753,
        2.28317,
        2.19581,
        2.20582,
        2.26319,
        2.19763,
        2.19114,
        2.23943,
        2.25729,
        2.22396,
        2.21764,
        2.21392,
        2.25131,
        2.2727,
        2.19751,
        2.25013,
        2.27312,
        2.2129,
        2.22334,
        2.21285,
        2.24179,
        2.20012,
        2.132,
        2.18863,
        2.19166,
        2.23583,
        2.1495,
        2.22918,
        2.18974,
        2.21027,
        2.28736,
        2.23694,
        2.14572,
        2.18749,
        2.19647,
        2.18602,
        2.15565,
        2.17277,
        2.17332,
        2.17474,
        2.12117,
        2.14297,
        2.1484,
        2.1372,
        2.05865,
        2.08589,
        2.11482,
        2.1041,
        2.07971,
        2.13247,
        2.1058,
        2.12343,
        2.13788,
        2.11882,
        2.10403,
        2.1243,
        2.17268,
        2.13435,
        2.12576,
        2.08513,
        2.08755,
        2.14643,
        2.18897,
        2.21606,
        2.19004,
        2.10177,
        2.12762,
        2.13244,
        2.08836,
        2.15104,
        2.18048,
        2.21377,
        2.1374,
        2.13214,
        2.14368,
        2.11684,
        2.16937,
        2.20793,
        2.14359,
        2.08237,
        2.106,
        2.17848,
        2.1641,
        2.15427,
        2.11674,
        2.12357,
        2.09981,
        2.09208,
        2.14081,
        2.14604,
        2.10134,
        2.15539,
        2.16803,
        2.12737,
        2.17913,
        2.13312,
        2.15292,
        2.15119,
        2.14415,
        2.17167,
        2.22713,
        2.14985,
        2.16872,
        2.1163,
        2.19816,
        2.14972,
        2.17173,
        2.21029,
        2.20894,
        2.15513,
        2.17959,
        2.17582,
        2.05516,
        2.13749,
        2.14595,
        2.18007,
        2.15737,
        2.12065,
        2.09479,
        2.12703,
        2.18997,
        2.12994,
        2.10676,
        2.09309,
        2.13075,
        2.19652,
        2.17502,
        2.12086,
        2.17349,
        2.19649,
        2.12422,
        2.06141,
        2.02361,
        2.08197,
        2.10304,
        2.12687,
        2.14648,
        2.12068,
        2.14084,
        2.14881,
        2.15555,
        2.14288,
        2.10986,
        2.07662,
        2.15796,
        2.17785,
        2.18873,
        2.18803,
        2.19456,
        2.14048,
        2.13312,
        2.19134,
        2.20979,
        2.08292,
        2.14709,
        2.14666,
        2.18269,
        2.19239,
        2.17185,
        2.1929,
        2.18727,
        2.16131,
        2.14203,
        2.26376,
        2.19437,
        2.18862,
        2.18491,
        2.15506,
        2.06221,
        2.13829,
        2.14412,
        2.19828,
        2.12246,
        2.19167,
        2.17146,
        2.20545,
        2.18692,
        2.21243,
        2.20926,
        2.18346,
        2.18227,
        2.11298,
        2.1806,
        2.19008,
        2.12078,
        2.14864,
        2.14969,
        2.18764,
        2.17587,
        2.21569,
        2.20551,
        2.18239,
        2.14029,
        2.1324,
        2.20488,
        2.18826,
        2.15267,
        2.18872,
        2.20628,
        2.20632,
        2.16928,
        2.09609,
        2.14375,
        2.20721,
        2.17176,
        2.15835,
        2.17216,
        2.16734,
        2.14383,
        2.17981,
        2.17942,
        2.13514,
        2.09663,
        2.07753,
        2.09349,
        2.09823,
        2.1178,
        2.0544,
        2.05364,
        2.07711,
        2.1494,
        2.17448,
        2.14996,
        2.13735,
        2.08018,
        2.11574,
        2.1352,
        2.15535,
        2.164,
        2.16994,
        2.19157,
        2.21737,
        2.22414,
        2.17553,
        2.10743,
        2.15672,
        2.1254,
        2.14284,
        2.13501,
        2.0926,
        2.23718,
        2.19852,
        2.15082,
        2.12803,
        2.17264,
        2.20398,
        2.21661,
        2.15417,
        2.17329,
        2.17693,
        2.13794,
        2.13917,
        2.16244,
        2.11986,
        2.10925,
        2.12055,
        2.14351,
        2.13061,
        2.14449,
        2.07348,
        2.13128,
        2.13074,
        2.2004,
        2.17284,
        2.19697,
        2.19465,
        2.14118,
        2.17065,
        2.14932,
        2.12788,
        2.15663,
        2.15911,
        2.15644,
        2.15263,
        2.17215,
        2.13397,
        2.18852,
        2.16023,
        2.12979,
        2.1268,
        2.1314,
        2.15524,
        2.14928,
        2.12818,
        2.11998,
        2.10442,
        2.13132,
        2.1106,
        2.04279,
        2.12291,
        2.23205,
        2.1802,
        2.10217,
        2.0617,
        2.1094,
        2.17846,
        2.08532,
        2.0827,
        2.18163,
        2.1488,
        2.12519,
        2.11146,
        2.10762,
        2.1475,
        2.12085,
        2.12675,
        2.13612,
        2.1179,
        2.11073,
        2.06275,
        2.15364,
        2.18063,
        2.09232,
        2.09612,
        2.08484,
        2.18567,
        2.15961,
        2.15875,
        2.09202,
        2.14634,
        2.18209,
        2.11025,
        2.1168,
        2.06237,
        2.11304,
        2.18207,
        2.13306,
        2.11614,
        2.07902,
        2.14042,
        2.10541,
        2.1256,
        2.11563,
        2.13263,
        2.15891,
        2.16943,
        2.09289,
        2.05331,
        2.12118,
        2.0952,
        2.07689,
        2.10251,
        2.08222,
        2.13842,
        2.18139,
        2.17498,
        2.14637,
        2.03164,
        2.09722,
        2.12619,
        2.10444,
        2.16857,
        2.10774,
        2.0987,
        2.10002,
        2.137,
        2.15771,
        2.08553,
        2.18869,
        2.12849,
        2.08192,
        2.10542,
        2.11143,
        2.10925,
        2.11835,
        2.11628,
        2.05348,
        2.07902,
        2.09872,
        2.11843,
        2.12088,
        2.13276,
        2.1497,
        2.10736,
        2.15692,
        2.13603,
        2.10617,
        2.09216,
        2.08325,
        2.03302,
        2.12229,
        2.1208,
        2.13337,
        2.1177,
        2.08965,
        2.08542,
        2.12332,
        2.1687,
        2.12589,
        2.13359,
        2.0605,
        2.05214,
        2.06329,
        2.10567,
        2.04961,
        2.08436,
        2.12803,
        2.19215,
        2.12394,
        2.12749,
        2.10208,
        2.06669,
        2.18362,
        2.14026,
        2.13661,
        2.09709,
        2.04734,
        2.09003,
        2.11295,
        2.13312,
        1.99,
        2.04766,
        2.128,
        2.09982,
        2.14242,
        2.14961,
        2.2681,
        2.09624,
        2.09589,
        2.10566,
        2.09095,
        2.13523,
        2.14171,
        2.13512,
        2.09965,
        2.11038,
        2.10207,
        2.11827,
        2.14493,
        2.05228,
        2.10976,
        2.07147,
        2.12799,
        2.14738,
        2.12656,
        2.07992,
        2.17548,
        2.08956,
        2.18085,
        2.08209,
        2.05306,
        2.10945,
        2.03233,
        2.0442,
        2.10782,
        2.16133,
        2.11311,
        2.13234,
        2.10383,
        2.14525,
        2.25694,
        2.2307,
        2.19407,
        2.05311,
        1.97982,
        1.97828,
        2.01354,
        2.17272,
        2.09964,
        2.12268,
        2.0933,
        1.98938,
        2.1849,
        2.02062,
        1.99993,
        2.07739,
        2.00583,
        2.0365,
        2.2395,
        2.36172,
        2.28715,
        2.1253,
        2.14916,
        2.27294,
        1.97522,
        1.91993,
        1.82938,
        2.20575,
        2.20121,
        1.92469,
        2.14146,
        2.2727,
        1.9794,
        2.28193,
        2.15956,
        2.29904,
        2.11524,
        2.18327,
        2.15299,
        2.12667,
        2.09434,
        2.2035,
        2.2227,
        2.10755,
        2.14885,
        2.05114,
        2.19491,
        2.16016,
        2.28213,
        2.19097,
        2.24915,
        2.25306,
        2.26231,
        2.24884,
        2.16724,
        2.22053,
        2.19681,
        2.17182,
        2.27532,
        2.24958,
        2.28428,
        2.28459,
        2.29157,
        2.27015,
        2.31432,
        2.2501,
        2.18625,
        2.26018,
        2.30927,
        2.13383,
        2.14158,
        2.106,
        2.19018,
        2.18637,
        2.0876,
        2.16548,
        2.23702,
        2.22751,
        2.17129,
        2.19679,
        2.16273,
        2.21431,
        2.22918,
        2.29563,
        2.22537,
        2.24777,
        2.28249,
        2.3095,
        2.25172,
        2.3118,
        2.25405,
        2.17916,
        2.14742,
        2.24452,
        2.28001,
        2.17853,
        2.10321,
        2.18642,
        2.2581,
        2.22461,
        2.24566,
        2.21887,
        2.25112,
        2.263,
        2.22445,
        2.2509,
        2.25877,
        2.34399,
        2.29129,
        2.30812,
        2.29757,
        2.18638,
        2.16089,
        2.22351,
        2.1969,
        2.22828,
        2.22449,
        2.25628,
        2.26171,
        2.28365,
        2.27097,
        2.16227,
        2.23497,
        2.18057,
        2.21398,
        2.23297,
        2.22346,
        2.14092,
        2.2203,
        2.20234,
        2.23689,
        2.22751,
        2.26219,
        2.20971,
        2.18225,
        2.20878,
        2.15707,
        2.16905,
        2.19795,
        2.20897,
        2.20749,
        2.22788,
        2.21045,
        2.14311,
        2.27563,
        2.13696,
        2.23195,
        2.23143,
        2.10471,
        2.13923,
        2.1637,
        2.2132,
        2.24408,
        2.17671,
        2.11841,
        2.21927,
        2.0312,
        2.17222,
        2.2532,
        2.13039,
        2.1724,
        2.1468,
        2.18997,
        2.20022,
        2.17439,
        2.08498,
        2.13623,
        2.30519,
        2.22097,
        2.13156,
        2.02758,
        2.07592,
        2.14618,
        2.10245,
        2.04923,
        2.08433,
        2.11392,
        2.24323,
        2.17052,
        2.0968,
        2.13493,
        2.06394,
        1.98344,
        2.08501,
        2.17529,
        2.14359,
        2.18364,
        1.97316,
        2.0926,
        2.14025,
        2.25667,
        2.25942,
        2.18995,
        2.27857,
        2.08696,
        2.06786,
        2.09621,
        2.10323,
        1.99611,
        2.23088,
        2.23549,
        1.95864,
        2.12858,
        1.96911,
        2.00178,
        2.34673,
        2.47201,
        2.55948,
        2.23146,
        1.96433,
        1.797,
        1.98179,
        2.06706,
        2.05,
        1.97623,
        2.24033,
        2.12445,
        2.23909,
        2.18526,
        2.07149,
        2.16727,
        2.18136,
        2.1646,
        2.18704,
        2.16136,
        2.02956,
        1.99895,
        2.28992,
        2.18925,
        2.04224,
        2.15267,
        2.18289,
        2.13603,
        2.18959,
        2.12643,
        2.14807,
        2.17235,
        2.21026,
        2.18375,
        2.19281,
        2.22281,
        2.07746,
        2.05812,
        2.13523,
        2.19483,
        2.15225,
        2.10811,
        2.06898,
        2.1211,
        2.15865,
        2.09429,
        2.18904,
        2.15447,
        2.10353,
        2.04332,
        2.20479,
        2.17403,
        2.21211,
        2.16713,
        2.09582,
        2.12219,
        2.18472,
        2.15343,
        2.14626,
        2.12391,
        2.07069,
        2.13107,
        2.11971,
        2.19375,
        2.20714,
        2.21471,
        2.24474,
        2.16657,
        2.19823,
        2.17329,
        2.12342,
        2.18859,
        2.15195,
        2.17631,
        2.24688,
        2.15506,
        2.1714,
        2.16431,
        2.15282,
        2.17813,
        2.09114,
        2.07074,
        2.09118,
        2.15217,
        2.11852,
        2.09012,
        2.07449,
        2.05751,
        2.10531,
        2.04249,
        2.09107,
        2.16119,
        2.14807,
        2.09449,
        2.10481,
        2.1992,
        2.14713,
        2.131,
        2.07945,
        2.17693,
        2.15855,
        2.11507,
        2.15303,
        2.1808,
        2.16528,
        2.18669,
        2.11738,
        2.08385,
        2.14488,
        2.07977,
        2.07524,
        2.14964,
        2.10564,
        2.10758,
        2.08664,
        2.14579,
        2.11457,
        2.10723,
        2.09755,
        2.04294,
        2.16939,
        2.13446,
        2.10831,
        2.14443,
        2.13332,
        2.07057,
        2.14508,
        2.08951,
        2.08824,
        2.12414,
        2.11683,
        2.1518,
        2.15775,
        2.17631,
        2.14879,
        2.25922,
        2.12654,
        2.10525,
        2.13115,
        2.16861,
        2.19199,
        2.16861,
        2.12864,
        2.14929,
        2.12871,
        2.06477,
        2.09627,
        2.11223,
        2.22221,
        2.20108,
        2.09786,
        2.13121,
        2.18577,
        2.14797,
        2.17336,
        2.21936,
        2.17088,
        2.14959,
        2.16961,
        2.17506,
        2.17517,
        2.19008,
        2.11346,
        2.05927,
        2.17821,
        2.06638,
        2.10282,
        2.11619,
        2.19468,
        2.16516,
        2.0752,
        2.12879,
        2.20258,
        2.16199,
        2.0941,
        2.06892,
        2.12239,
        2.01272,
        2.00113,
        2.0698,
        2.08266,
        2.02467,
        2.06278,
        2.1315,
        2.07193,
        2.06186,
        2.06928,
        2.10505,
        2.09017,
        2.08718,
        2.13478,
        2.11589,
        2.11623,
        2.13956,
        2.12069,
        2.19975,
        2.18214,
        2.15239,
        2.13081,
        2.13113,
        2.20638,
        2.14724,
        2.12334,
        2.13054,
        2.17615,
        2.18278,
        2.14775,
        2.14264,
        2.09749,
        2.09877,
        2.09573,
        2.14703,
        2.08007,
        2.12628,
        2.10948,
        2.098,
        2.09695,
        2.09741,
        2.16723,
        2.16369,
        2.09554,
        2.1186,
        2.07985,
        2.08909,
        2.16931,
        2.12378,
        2.16923,
        2.16517,
        2.14103,
        2.09512,
        2.11703,
        2.12564,
        1.97925,
        2.03389,
        2.03477,
        2.08898,
        2.0699,
        2.13285,
        2.11197,
        2.10918,
        2.0582,
        2.09553,
        2.06577,
        2.00992,
        2.02591,
        2.06636,
        2.1069,
        2.16739,
        2.20824,
        2.1074,
        1.95345,
        1.91116,
        2.1718,
        2.05062,
        2.08964,
        2.06593,
        2.19031,
        2.11383,
        2.13523,
        2.19013,
        2.15149,
        2.11687,
        2.00604,
        2.13897,
        2.11841,
        2.13561,
        2.14476,
        2.06654,
        2.05399,
        2.16312,
        2.11975,
        2.12518,
        2.15405,
        2.13475,
        2.16891,
        2.11063,
        2.09689,
        2.10233,
        2.06476,
        2.10114,
        2.1552,
        2.1254,
        2.09614,
        2.0981,
        2.12419,
        2.12213,
        2.05257,
        2.05282,
        2.13787,
        2.06499,
        2.16002,
        2.10407,
        2.20024,
        2.07755,
        2.02583,
        2.0475,
        2.06417,
        2.18718,
        2.15831,
        2.18439,
        2.12462,
        2.09513,
        2.05337,
        2.14564,
        2.1191,
        2.06323,
        2.10625,
        2.10782,
        2.16917,
        2.08622,
        2.11642,
        2.19724,
        2.12333,
        2.07212,
        2.04123,
        2.13555,
        2.13125,
        2.19712,
        2.20087,
        2.04086,
        2.18719,
        2.15487,
        2.12883,
        2.04216,
        2.06416,
        2.07834,
        2.16596,
        2.17037,
        2.1559,
        2.16664,
        2.13511,
        2.14973,
        2.1687,
        2.16099,
        2.16749,
        2.20505,
        2.14618,
        2.13202,
        2.15668,
        2.1296,
        2.13821,
        2.1481,
        2.18242,
        2.0878,
        2.21121,
        2.19012,
        2.09004,
        2.22935,
        2.18897,
        2.14454,
        2.21616,
        2.09062,
        2.17738,
        2.20064,
        2.14981,
        2.19463,
        2.15063,
        2.20629,
        2.16861,
        2.13424,
        2.23924,
        2.14642,
        2.16497,
        2.16408,
        2.10806,
        2.19173,
        2.13751,
        2.11317,
        2.11646,
        2.09962,
        2.1668,
        2.1742,
        2.09887,
        2.10532,
        2.11418,
        2.16065,
        2.09965,
        2.0386,
        2.1565,
        2.14673,
        2.11701,
        2.04668,
        2.13581,
        2.05677,
        2.12779,
        2.07621,
        2.10242,
        2.11106,
        2.13683,
        2.14103,
        2.08212,
        2.0811,
        2.08412,
        2.08824,
        2.06245,
        2.1369,
        2.18969,
        2.15209,
        2.16811,
        2.13512,
        2.03276,
        2.09603,
        2.06782,
        2.02999,
        2.08136,
        2.1321,
        2.09872,
        2.10204,
        2.12616,
        2.05778,
        2.13689,
        2.16918,
        2.16644,
        2.21919,
        2.21884,
        2.27094,
        2.20986,
        2.16754,
        2.15123,
        2.17615,
        2.24903,
        2.18691,
        2.20417,
        2.09912,
        2.16602,
        2.2292,
        2.19971,
        2.21998,
        2.21286,
        2.17883,
        2.27138,
        2.18019,
        2.15988,
        2.17103,
        2.2789,
        2.18047,
        2.23638,
        2.12678,
        2.25506,
        2.22037,
        2.22989,
        2.21179,
        2.10118,
        2.19166,
        2.27072,
        2.2178,
        2.23627,
        2.20962,
        2.23943,
        2.22802,
        2.25321,
        2.20252,
        2.29545,
        2.21066,
        2.16747,
        2.1976,
        2.2578,
        2.16005,
        2.12927,
        2.09285,
        2.21945,
        2.1621,
        2.19576,
        2.22662,
        2.23139,
        2.31727,
        2.3049,
        2.22951,
        2.22333,
        2.25516,
        2.26894,
        2.3071,
        2.30795,
        2.29332,
        2.29829,
        2.27323,
        2.23074,
        2.18645,
        2.25861,
        2.15717,
        2.2437,
        2.23291,
        2.30089,
        2.25336,
        2.30652,
        2.22986,
        2.19453,
        2.19971,
        2.20826,
        2.30813,
        2.19794,
        2.26478,
        2.21266,
        2.21857,
        2.22718,
        2.23838,
        2.22114,
        2.26683,
        2.16545,
        2.22698,
        2.27289,
        2.23311,
        2.16186,
        2.28558,
        2.22941,
        2.16799,
        2.25364,
        null,
        2.10996,
        2.17539,
        2.17828,
        2.17895,
        2.10708,
        2.12966,
        2.16788,
        2.14354,
        2.16429,
        2.12884,
        2.12685,
        2.12559,
        2.20897,
        2.17705,
        2.10667,
        2.09764,
        2.02741,
        2.03949,
        2.14353,
        2.16378,
        2.21374,
        2.15278,
        2.23803,
        2.13492,
        2.10238,
        2.16321,
        2.16448,
        2.16512,
        2.17783,
        2.15224,
        2.20748,
        2.20557,
        2.15899,
        2.1521,
        2.14818,
        2.11235,
        2.2095,
        2.2394,
        2.1848,
        2.19167,
        2.19966,
        2.16743,
        2.19827,
        2.19743,
        2.14393,
        2.11602,
        2.16986,
        2.1324,
        2.11907,
        2.17782,
        2.07998,
        2.1171,
        2.09324,
        2.186,
        2.08261,
        2.12473,
        2.14017,
        2.15884,
        2.12855,
        2.17371,
        2.22032,
        2.20907,
        2.17462,
        2.1293,
        2.13017,
        2.17844,
        2.17324,
        2.15014,
        2.0857,
        2.04583,
        2.07631,
        2.11547,
        2.14552,
        2.08319,
        2.19561,
        2.17743,
        2.15113,
        2.0804,
        2.13143,
        2.08371,
        2.11107,
        2.11512,
        2.15987,
        2.10514,
        2.12922,
        2.17991,
        2.10896,
        2.05746,
        2.14779,
        2.15522,
        2.20407,
        2.09275,
        2.17092,
        2.18528,
        2.13671,
        2.20964,
        2.11684,
        2.11421,
        2.17253,
        2.12607,
        2.1752,
        2.12565,
        2.11609,
        2.14219,
        2.14106,
        2.1535,
        2.11378,
        2.15842,
        2.16768,
        2.12098,
        2.1039,
        2.03154,
        2.23658,
        2.20011,
        2.17524,
        2.10511,
        2.07541,
        2.16981,
        2.26595,
        2.17895,
        2.27511,
        2.15239,
        2.22878,
        2.18698,
        2.13471,
        2.20579,
        2.17541,
        2.10138,
        2.03769,
        2.10579,
        2.02827,
        2.038,
        2.09933,
        2.00124,
        2.14619,
        2.23007,
        2.2239,
        2.20158,
        2.10355,
        2.13857,
        2.17506,
        2.20285,
        2.12639,
        2.18021,
        2.24103,
        2.16701,
        2.13135,
        2.12987,
        2.09648,
        2.09398,
        2.08621,
        2.08678,
        2.1486,
        2.1795,
        2.08005,
        2.09815,
        2.16548,
        2.10681,
        2.11543,
        2.1228,
        2.14914,
        2.15389,
        2.18895,
        2.16256,
        2.09557,
        2.12579,
        2.17503,
        2.15179,
        2.1253,
        2.08469,
        2.07748,
        2.12155,
        2.19729,
        2.16497,
        2.18794,
        2.15595,
        2.17368,
        2.17358,
        2.24948,
        2.16559,
        2.14152,
        2.14811,
        2.12666,
        2.15116,
        2.15959,
        2.19946,
        2.29097,
        2.45282,
        2.31489,
        2.16425,
        2.09583,
        2.3348,
        2.29322,
        2.16554,
        2.15208,
        2.20458,
        2.25208,
        2.32974,
        2.151,
        2.17082,
        2.1689,
        2.20798,
        2.2666,
        2.35368,
        2.08678,
        2.34674,
        2.10948,
        2.41579,
        2.25076,
        2.01285,
        2.31462,
        2.61881,
        2.58398,
        2.37433,
        2.32897,
        2.04195,
        2.18362,
        2.47857,
        2.37571,
        2.26855,
        2.38542,
        2.36553,
        2.0308,
        2.41317,
        2.43251,
        2.43941,
        2.30421,
        2.23414,
        2.06548,
        2.13726,
        2.03982,
        2.28814,
        2.27886,
        2.28102,
        2.3511,
        2.31871,
        2.10177,
        2.10365,
        2.19841,
        2.28488,
        2.23613,
        2.15821,
        2.20355,
        2.33378,
        2.18273,
        2.20037,
        2.261,
        2.34846,
        2.19364,
        2.24376,
        2.16438,
        2.2192,
        2.27649,
        2.21282,
        2.27647,
        2.16833,
        2.10215,
        2.16906,
        2.08493,
        2.0093,
        2.17124,
        2.19036,
        2.1845,
        2.22562,
        2.1549,
        2.16542,
        2.111,
        2.20102,
        2.19864,
        2.1525,
        2.07424,
        2.12812,
        2.17653,
        2.10459,
        2.23166,
        2.21459,
        2.1677,
        2.2308,
        2.20981,
        2.1971,
        2.2232,
        2.14296,
        2.12736,
        2.17264,
        2.12508,
        2.06488,
        2.11033,
        2.08525,
        2.22822,
        2.19993,
        2.12863,
        2.16685,
        2.16061,
        2.08357,
        2.14383,
        2.08327,
        2.08192,
        2.15043,
        2.17575,
        2.13805,
        2.16006,
        2.13373,
        2.20762,
        2.20615,
        2.16414,
        2.15416,
        2.13786,
        2.19569,
        2.23431,
        2.22303,
        2.17221,
        2.21149,
        2.19375,
        2.17473,
        2.09573,
        2.13953,
        2.28454,
        2.23665,
        2.14589,
        2.19915,
        2.23825,
        2.09515,
        2.14998,
        2.1768,
        2.25143,
        2.13341,
        2.15558,
        2.15783,
        2.21761,
        2.2481,
        2.12444,
        2.21994,
        2.22227,
        2.14661,
        2.09459,
        2.16888,
        2.14421,
        2.15502,
        2.20403,
        2.24851,
        2.20678,
        2.16268,
        2.1535,
        2.1723,
        2.13042,
        2.10157,
        2.13351,
        2.13691,
        2.13795,
        2.21171,
        2.12197,
        2.14392,
        2.18996,
        2.10751,
        2.11297,
        2.11422,
        2.16543,
        2.12761,
        2.12454,
        2.13561,
        2.13646,
        2.14436,
        2.14883,
        2.15279,
        2.15899,
        2.16124,
        2.15479,
        2.13525,
        2.14407,
        2.19909,
        2.2148,
        2.22032,
        2.1404,
        2.15241,
        2.14873,
        2.19804,
        2.14081,
        2.14253,
        2.20778,
        2.2263,
        2.27676,
        2.16544,
        2.1462,
        2.11874,
        2.19784,
        2.21192,
        2.18456,
        2.19511,
        2.12319,
        2.10692,
        2.24559,
        2.19245,
        2.18282,
        2.15019,
        2.15879,
        2.21567,
        2.20286,
        2.22453,
        2.22403,
        2.26205,
        2.17564,
        2.08688,
        2.18766,
        2.21572,
        2.1367,
        2.13234,
        2.20129,
        2.04536,
        2.1885,
        2.1988,
        2.20797,
        2.21555,
        2.09364,
        2.12085,
        2.17568,
        2.15228,
        2.11439,
        2.1471,
        2.16294,
        2.16709,
        2.09264,
        2.14223,
        2.17502,
        2.20299,
        2.19632,
        2.13654,
        2.10284,
        2.191,
        2.12821,
        2.1333,
        2.19385,
        2.24818,
        2.1179,
        2.12372,
        2.04742,
        2.02767,
        2.12118,
        2.12879,
        2.11572,
        2.1706,
        2.10592,
        2.1039,
        2.02849,
        2.05948,
        2.10496,
        2.11679,
        2.14019,
        2.0795,
        2.25065,
        2.19157,
        2.04831,
        2.10169,
        2.16197,
        2.2058,
        2.20719,
        2.16842,
        2.15254,
        2.17671,
        2.12346,
        2.21764,
        2.20641,
        2.14933,
        2.12209,
        2.24553,
        2.17805,
        2.10445,
        2.2176,
        2.16475,
        2.17163,
        2.18919,
        2.21311,
        2.10506,
        2.12852,
        2.18492,
        2.10601,
        2.14996,
        2.11056,
        2.16718,
        2.18156,
        2.19494,
        2.10914,
        2.11229,
        2.10056,
        2.14584,
        2.1063,
        2.10053,
        2.13496,
        2.17313,
        2.17038,
        2.14936,
        2.1397,
        2.11381,
        2.12697,
        2.07543,
        2.14527,
        2.14609,
        2.19178,
        2.171,
        2.20505,
        2.23124,
        2.18883,
        2.14462,
        2.13421,
        2.09984,
        2.09345,
        2.09291,
        2.10849,
        2.12776,
        2.12779,
        2.09554,
        2.17083,
        2.19771,
        2.18646,
        2.09925,
        2.13149,
        2.18772,
        2.18219,
        2.15541,
        2.17529,
        2.17602,
        2.1816,
        2.12165,
        2.14977,
        2.1819,
        2.15433,
        2.24696,
        2.14727,
        2.15937,
        2.11645,
        2.15107,
        2.1811,
        2.12297,
        2.12616,
        2.09687,
        2.10867,
        2.11518,
        2.12966,
        2.10345,
        2.15046,
        2.143,
        2.19407,
        2.12182,
        2.08526,
        2.08455,
        2.12262,
        2.10258,
        2.15084,
        2.17237,
        2.20782,
        2.16171,
        2.1853,
        2.22805,
        2.19867,
        2.13004,
        2.19825,
        2.18215,
        2.17853,
        2.18257,
        2.17925,
        2.15786,
        2.22295,
        2.20787,
        2.19056,
        2.21038,
        2.24569,
        2.14156,
        2.15157,
        2.13085,
        2.13487,
        2.18369,
        2.2,
        2.26214,
        2.21294,
        2.21714,
        2.16042,
        2.1182,
        2.12233,
        2.18577,
        2.18422,
        2.16985,
        2.19869,
        2.18562,
        2.15419,
        2.10065,
        2.11848,
        2.15256,
        2.16632,
        2.17686,
        2.24003,
        2.2338,
        2.09104,
        2.20502,
        2.20884,
        2.11992,
        2.12813,
        2.18062,
        2.21164,
        2.23065,
        2.20291,
        2.19949,
        2.18676,
        2.17465,
        2.18585,
        2.2418,
        2.20698,
        2.19144,
        2.20808,
        2.24081,
        2.20851,
        2.15456,
        2.21043,
        2.22463,
        2.17009,
        2.12617,
        2.2013,
        2.19126,
        2.19063,
        2.17947,
        2.15467,
        2.16274,
        2.13278,
        2.11232,
        2.16669,
        2.16876,
        2.10699,
        2.0332,
        2.07658,
        2.13587,
        2.10851,
        2.1162,
        2.19037,
        2.13073,
        2.18445,
        2.15597,
        2.08006,
        2.06288,
        2.13607,
        2.11183,
        2.12206,
        2.12294,
        2.19088,
        2.15291,
        2.12186,
        2.11174,
        2.09599,
        2.13454,
        2.16046,
        2.14414,
        2.17272,
        2.14144,
        2.17438,
        2.22528,
        2.13657,
        2.14214,
        2.10254,
        2.09904,
        2.19693,
        2.15602,
        2.19058,
        2.17965,
        2.13317,
        2.10504,
        2.16072,
        2.23755,
        2.10631,
        2.13833,
        2.12,
        2.22365,
        2.20716,
        2.18312,
        2.13229,
        2.16818,
        2.16064,
        2.15391,
        2.13222,
        2.20313,
        2.15367,
        2.1074,
        2.16879,
        2.23925,
        2.20244,
        2.14249,
        2.09199,
        2.15273,
        2.13258,
        2.0759,
        2.10229,
        2.18894,
        2.17041,
        2.16201,
        2.15133,
        2.13898,
        2.12939,
        2.11466,
        2.17099,
        2.0982,
        2.11612,
        2.26473,
        2.20871,
        2.20341,
        2.16269,
        2.23668,
        2.27516,
        2.21791,
        2.27273,
        2.21156,
        2.21153,
        2.12578,
        2.1537,
        2.23969,
        2.34804,
        2.21695,
        2.18319,
        2.15202,
        2.14688,
        2.13372,
        2.18642,
        2.20216,
        2.16215,
        2.24808,
        2.24714,
        2.25117,
        2.21854,
        2.19478,
        2.26817,
        2.16363,
        2.22443,
        2.30675,
        2.34476,
        2.25044,
        2.17134,
        2.13404,
        2.23048,
        2.29352,
        2.26571,
        2.2476,
        2.22913,
        2.19421,
        2.25338,
        2.25081,
        2.24355,
        2.30469,
        2.18448,
        2.28319,
        2.28313,
        2.18899,
        2.24166,
        2.19044,
        2.15951,
        2.23296,
        2.26326,
        2.23686,
        2.26859,
        2.20434,
        2.21984,
        2.24636,
        2.35116,
        2.27648,
        2.21828,
        2.30267,
        2.35089,
        2.1698,
        2.19987,
        2.25485,
        2.17339,
        2.22682,
        2.30254,
        2.25145,
        2.25553,
        2.18799,
        2.25971,
        2.30697,
        2.16757,
        2.21543,
        2.1471,
        2.12297,
        2.20569,
        2.21647,
        2.32869,
        2.31165,
        2.37002,
        2.33414,
        2.19157,
        2.29139,
        2.31667,
        2.39529,
        2.40568,
        2.2821,
        2.19358,
        2.18641,
        2.15843,
        2.22235,
        2.2222,
        2.28525,
        2.30156,
        2.2943,
        2.32113,
        2.29244,
        2.27696,
        2.25826,
        2.20748,
        2.24536,
        2.23676,
        2.30407,
        2.18128,
        2.14595,
        2.20268,
        2.22932,
        2.26635,
        2.25418,
        2.15493,
        2.19261,
        2.19652,
        2.08954,
        2.10727,
        2.11747,
        2.12438,
        2.24446,
        2.27986,
        2.3026,
        2.27485,
        1.98826,
        1.95124,
        2.17937,
        1.98433,
        1.9441,
        2.22122,
        2.28812,
        2.1564,
        1.9496,
        2.11555,
        2.02985,
        1.86637,
        2.04167,
        1.98844,
        1.95913,
        2.058,
        2.14741,
        2.01714,
        2.20755,
        2.11021,
        1.94458,
        2.30876,
        2.73698,
        2.35263,
        2.76018,
        2.34286,
        2.54651,
        2.72453,
        null,
        1.88319,
        2.1479,
        2.29503,
        2.37,
        1.9652,
        1.91744,
        2.34008,
        2.45123,
        2.43825,
        2.05638,
        1.92757,
        1.89411,
        2.3126,
        1.96213,
        1.74672,
        1.80699,
        1.65149,
        1.80958,
        1.9994,
        2.21959,
        2.01036,
        2.19787,
        2.18756,
        2.18207,
        2.09683,
        2.038,
        1.8716,
        1.99205,
        1.97887,
        2.0835,
        2.23242,
        2.05887,
        2.26512,
        2.26609,
        2.23899,
        2.22227,
        2.31503,
        2.17819,
        2.26325,
        1.98336,
        2.14392,
        2.36635,
        2.1881,
        2.09104,
        2.17811,
        2.33518,
        2.15011,
        2.00334,
        1.92819,
        2.13723,
        2.12463,
        2.04899,
        2.24154,
        2.28378,
        2.15368,
        2.25187,
        2.14845,
        2.20287,
        2.21819,
        2.01348,
        2.19918,
        2.15111,
        2.0475,
        2.22786,
        2.2623,
        2.13846,
        2.24106,
        2.33172,
        2.24414,
        2.25567,
        2.19922,
        2.22552,
        2.32465,
        2.27132,
        2.12025,
        2.22144,
        2.27042,
        2.20335,
        2.16838,
        2.19631,
        2.29568,
        2.17367,
        2.06678,
        2.16147,
        2.25298,
        2.08744,
        2.04984,
        2.14342,
        2.21676,
        2.24596,
        2.25186,
        2.27649,
        2.02755,
        2.17141,
        2.1091,
        2.18713,
        2.17365,
        2.10565,
        2.15166,
        2.13559,
        2.00729,
        2.11062,
        2.04642,
        2.25465,
        2.232,
        2.21067,
        2.08388,
        2.03697,
        2.16861,
        2.18307,
        2.12521,
        2.05756,
        2.06117,
        2.08653,
        2.15627,
        2.08869,
        2.08939,
        2.1188,
        2.22152,
        2.18293,
        2.15424,
        2.12084,
        2.09818,
        2.11455,
        2.08017,
        2.17299,
        2.15886,
        2.09838,
        2.21502,
        2.13582,
        2.12995,
        2.24128,
        2.13266,
        2.14406,
        2.2724,
        2.20115,
        2.13721,
        2.21373,
        2.16586,
        2.05934,
        2.14026,
        2.13278,
        2.17303,
        2.14828,
        2.18124,
        2.10631,
        2.20591,
        2.28265,
        2.20992,
        2.28156,
        2.2758,
        2.01861,
        2.03202,
        2.07641,
        2.17438,
        2.22076,
        2.2006,
        2.13217,
        2.12175,
        2.27664,
        2.29554,
        2.26254,
        2.14037,
        2.01872,
        2.07118,
        2.09411,
        2.18549,
        2.12215,
        2.20053,
        2.23537,
        2.08016,
        2.04987,
        2.13779,
        2.23493,
        2.28006,
        2.23827,
        2.25813,
        2.3208,
        2.24746,
        2.18543,
        2.19236,
        2.20805,
        2.2811,
        2.04638,
        2.1522,
        2.04105,
        2.26983,
        2.09657,
        2.16491,
        2.21388,
        2.18348,
        2.11912,
        2.19783,
        2.25675,
        2.16199,
        2.03615,
        2.11776,
        2.1957,
        2.21658,
        2.28202,
        2.15033,
        2.15183,
        2.12264,
        2.04221,
        2.1524,
        2.16157,
        2.15342,
        2.28436,
        2.23985,
        2.08362,
        2.1551,
        2.13569,
        2.16199,
        2.19624,
        2.13071,
        2.05182,
        2.18321,
        2.31838,
        2.24884,
        2.16413,
        2.09393,
        2.15671,
        2.2563,
        2.18017,
        2.33203,
        2.18016,
        2.22066,
        2.34002,
        2.29592,
        2.25765,
        2.35719,
        2.1706,
        2.08111,
        2.15022,
        2.20181,
        2.19673,
        2.25294,
        2.33452,
        2.30262,
        2.25691,
        2.23623,
        2.27646,
        2.28069,
        2.22546,
        2.23994,
        2.28568,
        2.40538,
        2.29187,
        2.10484,
        2.2711,
        2.20297,
        2.19226,
        2.22351,
        2.17307,
        2.12415,
        2.41136,
        2.33982,
        2.21216,
        2.19701,
        2.32035,
        2.30041,
        2.39306,
        2.23217,
        2.11042,
        2.09482,
        2.1696,
        2.25225,
        2.2227,
        2.13331,
        2.2354,
        2.26866,
        2.28177,
        2.3093,
        2.22819,
        2.05669,
        2.16328,
        2.35349,
        2.38108,
        2.09555,
        2.30883,
        2.31494,
        2.14674,
        2.16211,
        2.43223,
        2.21414,
        2.30651,
        2.24427,
        2.18692,
        2.00919,
        2.25018,
        2.42687,
        2.30735,
        2.5372,
        2.37281,
        2.56333,
        2.27029,
        2.31122,
        2.21004,
        2.44272,
        2.38863,
        1.86964,
        2.18304,
        2.48126,
        2.21486,
        2.24795,
        2.32612,
        2.20925,
        1.97253,
        1.92201,
        2.35796,
        2.20637,
        2.03765,
        2.25676,
        2.39516,
        3.13343,
        2.59768,
        null,
        2.50007,
        2.30331,
        2.1478,
        2.4947,
        2.1178,
        1.97127,
        2.11855,
        1.86145,
        2.1578,
        2.26025,
        1.84952,
        2.30395,
        2.34885,
        2.06808,
        2.16987,
        2.10864,
        2.24233,
        2.18785,
        2.22278,
        2.27543,
        2.23245,
        2.08987,
        2.31527,
        1.90646,
        1.84731,
        2.28481,
        2.22862,
        2.16561,
        1.99877,
        1.96348,
        2.21989,
        2.45258,
        2.15376,
        2.15893,
        2.2232,
        2.23474,
        2.31119,
        2.43243,
        2.18984,
        2.23178,
        2.21455,
        2.20096,
        2.20436,
        2.06269,
        2.10146,
        2.14497,
        2.17878,
        2.31005,
        2.15882,
        2.13131,
        2.13935,
        2.15807,
        2.18685,
        2.17702,
        2.2593,
        2.20756,
        1.99996,
        2.14332,
        2.24688,
        2.06308,
        1.98956,
        2.203,
        2.26513,
        2.20797,
        2.36537,
        2.29268,
        2.11582,
        2.16142,
        2.05458,
        2.31385,
        2.35565,
        2.24623,
        2.17224,
        2.02052,
        2.28364,
        2.12978,
        2.1866,
        2.25689,
        2.18615,
        2.17122,
        2.00057,
        2.0856,
        2.25598,
        2.20124,
        2.01684,
        2.13468,
        2.02464,
        2.03701,
        2.07947,
        2.18566,
        2.10197,
        2.01535,
        2.0838,
        1.994,
        2.10997,
        2.29056,
        2.28612,
        2.19486,
        2.08252,
        1.99809,
        1.95225,
        2.20124,
        2.19222,
        2.15578,
        2.29018,
        2.06974,
        2.18257,
        2.24046,
        2.24197,
        2.16242,
        2.10419,
        2.1559,
        2.1793,
        2.11315,
        2.20809,
        2.27456,
        2.18458,
        2.07061,
        1.93304,
        2.02674,
        2.23673,
        2.15083,
        2.10201,
        2.06933,
        2.10815,
        2.17551,
        2.19707,
        2.15438,
        2.15175,
        2.22893,
        2.12635,
        2.12733,
        2.23685,
        2.19186,
        2.25038,
        2.2407,
        2.25219,
        2.2701,
        2.27771,
        2.15463,
        2.09448,
        2.09702,
        2.16349,
        2.13692,
        2.19188,
        2.1629,
        2.01728,
        2.18718,
        2.17085,
        2.23654,
        2.14499,
        2.14957,
        2.19288,
        2.16614,
        2.1501,
        2.18838,
        2.16544,
        2.13397,
        2.05291,
        2.17534,
        2.03127,
        2.08156,
        2.16865,
        2.23675,
        2.23665,
        2.26283,
        2.214,
        2.17957,
        2.1811,
        2.21671,
        2.23491,
        2.14604,
        2.12849,
        2.24341,
        2.1573,
        2.13918,
        2.07174,
        2.1467,
        2.24751,
        2.12134,
        2.12919,
        2.11703,
        2.12183,
        2.21136,
        2.19426,
        2.25437,
        2.10516,
        2.12267,
        2.1884,
        2.23699,
        2.12772,
        2.26326,
        2.18891,
        2.1725,
        2.08191,
        2.16533,
        2.17876,
        2.16912,
        2.17225,
        2.17538,
        2.18715,
        2.26174,
        2.14474,
        2.19522,
        2.14793,
        2.19967,
        2.25423,
        2.29748,
        2.19683,
        2.13609,
        2.17474,
        2.0636,
        2.09825,
        2.16685,
        2.17506,
        2.0978,
        2.1912,
        2.15227,
        2.21484,
        2.14472,
        2.21068,
        2.16241,
        2.12609,
        2.1724,
        2.14599,
        2.13917,
        2.11096,
        2.19827,
        2.0889,
        2.12985,
        2.15749,
        2.2254,
        2.14044,
        2.17293,
        2.20205,
        2.24958,
        2.22075,
        2.27991,
        2.27077,
        2.18138,
        2.09924,
        2.13674,
        2.10823,
        2.2167,
        2.12215,
        2.25212,
        2.24223,
        2.19359,
        2.09587,
        1.99927,
        2.04699,
        2.13284,
        2.08646,
        2.1729,
        2.02859,
        2.11202,
        2.18286,
        2.05652,
        2.21289,
        2.06723,
        2.14174,
        2.08534,
        2.09028,
        2.27766,
        2.14703,
        2.13619,
        2.08939,
        2.10638,
        2.12336,
        2.06088,
        2.09496,
        2.06063,
        2.11629,
        2.02416,
        2.15641,
        2.18547,
        2.15373,
        2.18128,
        2.07764,
        2.16139,
        2.20677,
        2.0822,
        2.11279,
        2.16249,
        2.09819,
        2.06775,
        2.09462,
        2.12261,
        2.18981,
        2.14558,
        2.17063,
        2.15387,
        2.1895,
        2.18514,
        2.09752,
        2.03345,
        2.12821,
        2.19736,
        2.09785,
        2.19366,
        2.1919,
        2.10857,
        2.02773,
        2.19965,
        2.14249,
        2.13952,
        2.13274,
        2.11546,
        2.21126,
        2.11937,
        2.23065,
        2.25635,
        2.29892,
        2.14423,
        2.21563,
        2.28084,
        2.32638,
        2.20778,
        2.14829,
        2.24702,
        2.28123,
        2.17777,
        2.21682,
        2.18239,
        2.14373,
        2.13725,
        2.26656,
        2.24502,
        2.28587,
        2.25364,
        2.21791,
        2.18296,
        2.12616,
        2.18242,
        2.25306,
        2.11996,
        2.1787,
        2.04553,
        2.18332,
        2.20563,
        2.28405,
        2.29974,
        2.19778,
        2.25944,
        2.12392,
        2.21242,
        2.14905,
        2.18487,
        2.15731,
        2.3123,
        2.18878,
        2.20447,
        2.15315,
        2.15999,
        2.11311,
        2.11671,
        2.17632,
        2.19385,
        2.1941,
        2.18079,
        2.20855,
        2.16052,
        2.11456,
        2.09305,
        2.19954,
        2.19092,
        2.10288,
        2.22083,
        2.15749,
        2.21197,
        2.05737,
        2.12294,
        2.0876,
        2.22958,
        2.27359,
        2.14915,
        2.24846,
        2.19884,
        2.24292,
        2.18186,
        2.17612,
        2.27945,
        2.21628,
        2.11062,
        2.24524,
        2.19919,
        2.17477,
        2.04966,
        2.10744,
        2.2056,
        2.18666,
        2.17238,
        2.22047,
        2.20318,
        2.19218,
        2.27123,
        2.08943,
        2.17239,
        2.1609,
        2.19494,
        2.20056,
        2.25105,
        2.26766,
        2.15657,
        2.15843,
        2.11944,
        2.07234,
        2.16429,
        2.17181,
        2.19265,
        2.15859,
        2.10944,
        2.13597,
        2.17285,
        2.21602,
        2.18655,
        2.19305,
        2.13806,
        2.18447,
        2.17196,
        2.07831,
        2.09179,
        2.09335,
        2.25086,
        2.18123,
        2.14096,
        2.18753,
        2.1937,
        2.22086,
        2.19812,
        2.12594,
        2.16935,
        2.24167,
        2.19248,
        2.02662,
        2.14123,
        2.16868,
        2.10156,
        2.17303,
        2.11546,
        2.02337,
        2.25654,
        2.08254,
        2.03665,
        2.16176,
        2.18315,
        2.12823,
        2.31562,
        2.2322,
        2.21132,
        2.23718,
        2.05637,
        2.2718,
        2.22614,
        2.05801,
        2.38008,
        2.12293,
        2.13874,
        2.15491,
        2.11365,
        2.16462,
        null,
        2.25991,
        2.18981,
        2.24386,
        2.21634,
        2.21196,
        2.08068,
        2.19179,
        2.10345,
        2.19279,
        2.22915,
        2.2283,
        2.22834,
        2.18913,
        2.17969,
        2.23044,
        2.18567,
        2.20098,
        2.16635,
        2.13933,
        2.13256,
        2.22896,
        2.2631,
        2.22187,
        2.22353,
        2.19011,
        2.19538,
        2.13085,
        2.15309,
        2.12972,
        2.10077,
        2.17397,
        2.10285,
        2.00076,
        2.12702,
        2.1652,
        2.06148,
        2.06087,
        2.07052,
        2.06181,
        2.15696,
        2.25981,
        2.13362,
        2.16643,
        2.16205,
        2.16142,
        2.05171,
        2.12839,
        2.12612,
        2.17055,
        2.15273,
        2.10044,
        2.19493,
        2.17613,
        2.22538,
        2.31407,
        2.20481,
        2.23902,
        2.22994,
        2.19064,
        2.16907,
        2.22987,
        2.15667,
        2.15325,
        2.16358,
        2.13326,
        2.20822,
        2.1521,
        2.20644,
        2.23744,
        2.16902,
        2.21,
        2.14082,
        2.11681,
        2.15964,
        2.08394,
        2.17562,
        2.13783,
        2.15193,
        2.19007,
        2.15939,
        2.13123,
        2.19878,
        2.16841,
        2.15799,
        2.08747,
        2.12626,
        2.10596,
        2.10005,
        2.12496,
        2.0601,
        2.13238,
        2.21605,
        2.19456,
        2.13781,
        2.15884,
        2.21022,
        2.15715,
        2.13291,
        2.14324,
        2.10988,
        2.16144,
        2.19601,
        2.17884,
        2.18121,
        1.9766,
        2.10474,
        2.22791,
        2.31053,
        2.03954,
        2.24106,
        2.1334,
        2.10022,
        2.14932,
        2.23403,
        2.07621,
        2.04872,
        2.14709,
        2.18651,
        2.21397,
        2.21148,
        2.18187,
        2.21755,
        2.13385,
        2.14406,
        2.16366,
        2.16089,
        2.27369,
        2.14017,
        2.15908,
        2.21165,
        2.16058,
        2.10859,
        2.07111,
        2.11061,
        2.15553,
        2.15972,
        2.14958,
        2.13285,
        2.08801,
        2.20768,
        2.08201,
        2.12951,
        2.17774,
        2.15384,
        2.13909,
        2.14439,
        2.10182,
        2.15436,
        2.06607,
        2.05357,
        2.09039,
        2.118,
        2.13084,
        2.06516,
        2.13334,
        2.15158,
        2.11533,
        2.09907,
        2.12166,
        2.03524,
        2.11964,
        2.16985,
        2.22263,
        2.17644,
        2.17079,
        2.1795,
        2.16266,
        2.11434,
        2.18242,
        2.1979,
        2.14246,
        2.09163,
        2.11177,
        2.20218,
        2.22356,
        2.16675,
        2.12635,
        2.15578,
        2.19258,
        2.20482,
        2.2001,
        2.0679,
        2.08176,
        2.07683,
        2.12306,
        2.17926,
        2.22001,
        2.15846,
        2.16857,
        2.17698,
        2.19272,
        2.15268,
        2.14233,
        2.14851,
        2.15799,
        2.10165,
        2.18724,
        2.08739,
        2.11691,
        2.10012,
        2.14901,
        2.13669,
        2.13661,
        2.23108,
        2.1947,
        2.2095,
        2.16404,
        2.11806,
        2.17363,
        2.12562,
        2.12567,
        2.12125,
        2.17553,
        2.13159,
        2.17331,
        2.1482,
        2.12848,
        2.15195,
        2.22824,
        2.15965,
        2.10576,
        2.12619,
        2.17076,
        2.12712,
        2.1616,
        2.13175,
        2.12887,
        2.10486,
        2.11115,
        2.14873,
        2.04616,
        2.07235,
        2.16759,
        2.16982,
        2.17172,
        2.15154,
        2.19369,
        2.13648,
        2.18593,
        2.10324,
        2.16483,
        2.11925,
        2.07143,
        2.19892,
        2.18067,
        2.23497,
        2.34143,
        2.23419,
        2.3021,
        2.25269,
        2.31505,
        2.25415,
        2.27301,
        2.24418,
        2.23601,
        2.26172,
        2.20069,
        2.25696,
        2.32655,
        2.27345,
        2.23259,
        2.26952,
        2.21933,
        2.26071,
        2.26338,
        2.25903,
        2.27265,
        2.19754,
        2.22696,
        2.2705,
        2.12474,
        2.21604,
        2.24992,
        2.16964,
        2.22275,
        2.22232,
        2.21523,
        2.25655,
        2.35696,
        2.32091,
        2.32848,
        2.29807,
        2.35722,
        2.34846,
        2.25377,
        2.31002,
        2.33272,
        2.34041,
        2.35638,
        2.36441,
        2.30184,
        2.29106,
        2.31457,
        2.27002,
        2.26403,
        2.26351,
        2.326,
        2.26206,
        2.25108,
        2.30686,
        2.22076,
        2.24988,
        2.25087,
        2.24351,
        2.23382,
        2.27358,
        2.24505,
        2.29587,
        2.26272,
        2.30806,
        2.28544,
        2.27613,
        2.24726,
        2.35248,
        2.33721,
        2.28952,
        2.23263,
        2.2547,
        2.20927,
        2.29718,
        2.25323,
        2.24531,
        2.243,
        2.24581,
        2.21462,
        2.24209,
        2.24202,
        2.29024,
        2.24881,
        2.26501,
        2.26417,
        2.25285,
        2.21443,
        2.28326,
        2.29239,
        2.29669,
        2.26574,
        2.23737,
        2.23406,
        2.23682,
        2.17202,
        2.14104,
        2.16816,
        2.24533,
        2.26554,
        2.21486,
        2.23771,
        2.24795,
        2.22168,
        2.26774,
        2.25046,
        2.23522,
        2.25167,
        2.23123,
        2.16806,
        2.19963,
        2.20381,
        2.1361,
        2.16763,
        2.20627,
        2.23905,
        2.16057,
        2.12,
        2.22819,
        2.18797,
        2.13581,
        2.17088,
        2.15713,
        2.15816,
        2.10147,
        2.10388,
        2.07958,
        2.11148,
        2.09369,
        2.15897,
        2.15216,
        2.11387,
        2.22834,
        2.19309,
        2.16181,
        2.14781,
        2.11296,
        2.16176,
        2.15984,
        2.10853,
        2.10502,
        2.15127,
        2.12702,
        2.12023,
        2.16884,
        2.13936,
        2.11026,
        2.12518,
        2.2088,
        2.15405,
        2.14693,
        2.12454,
        2.13362,
        2.16753,
        2.25538,
        2.23134,
        2.21535,
        2.19836,
        2.18199,
        2.15398,
        2.18087,
        2.12963,
        2.1427,
        2.11768,
        2.21662,
        2.18751,
        2.13381,
        2.06893,
        2.10883,
        2.20627,
        2.17652,
        2.16389,
        2.12654,
        2.16328,
        2.13936,
        2.09792,
        2.23891,
        2.15473,
        2.23144,
        2.23779,
        2.17996,
        2.24705,
        2.22587,
        2.1897,
        2.22677,
        2.12392,
        2.16788,
        2.1706,
        2.12393,
        2.21702,
        2.21406,
        2.14664,
        2.13094,
        2.13049,
        2.19962,
        2.22347,
        2.19164,
        2.16544,
        2.20788,
        2.15862,
        2.18905,
        2.19557,
        2.18754,
        2.09217,
        2.12839,
        2.19443,
        2.13356,
        2.20152,
        2.23037,
        2.23902,
        2.15705,
        2.16168,
        2.18965,
        2.14415,
        2.1529,
        2.13521,
        2.15527,
        2.17559,
        2.16599,
        2.09261,
        2.07939,
        2.15875,
        2.10944,
        2.0716,
        2.27201,
        2.35521,
        2.26276,
        2.16521,
        2.08122,
        2.1668,
        2.26654,
        2.11428,
        2.10592,
        2.17623,
        2.16543,
        2.13276,
        2.13788,
        2.13745,
        2.07452,
        2.07859,
        2.14139,
        2.08539,
        2.12768,
        2.18098,
        2.08622,
        2.04474,
        2.13739,
        2.14948,
        2.1824,
        2.04911,
        2.12021,
        2.10957,
        2.10144,
        2.07201,
        2.07017,
        2.06603,
        2.12908,
        2.21548,
        2.19086,
        2.14223,
        2.17326,
        2.19435,
        2.17256,
        2.18005,
        2.14026,
        2.15915,
        2.19674,
        2.13212,
        2.17228,
        2.17361,
        2.21759,
        2.16721,
        2.26051,
        2.21664,
        2.16754,
        2.17888,
        2.19752,
        2.13951,
        2.15801,
        2.12685,
        2.17779,
        2.25353,
        2.18771,
        2.14873,
        2.15153,
        2.12669,
        2.24076,
        2.23069,
        2.21106,
        2.16448,
        2.20972,
        2.20437,
        2.18421,
        2.22327,
        2.16235,
        2.14166,
        2.21221,
        2.15391,
        2.16174,
        2.18006,
        2.12782,
        2.17849,
        2.07311,
        2.19224,
        2.16678,
        2.17639,
        2.13628,
        2.15675,
        2.15362,
        2.21072,
        2.17304,
        2.12783,
        2.13283,
        2.18069,
        2.2473,
        2.20611,
        2.16955,
        2.16698,
        2.08654,
        2.10631,
        2.14987,
        2.09075,
        2.18784,
        2.12308,
        2.13255,
        2.20963,
        2.19404,
        2.18742,
        2.24684,
        2.16266,
        2.12168,
        2.17609,
        2.21395,
        2.10912,
        2.13643,
        2.21785,
        2.23522,
        2.30213,
        2.15777,
        2.12236,
        2.09353,
        2.08128,
        2.11381,
        2.13442,
        2.1978,
        2.13101,
        2.08487,
        2.08244,
        2.17832,
        2.26508,
        2.18307,
        2.14068,
        2.14741,
        2.16934,
        2.20466,
        2.12586,
        2.2171,
        2.28631,
        2.09009,
        2.13787,
        2.17014,
        2.16464,
        2.09497,
        2.11264,
        2.17411,
        2.15367,
        1.99753,
        2.02834,
        2.13489,
        2.23987,
        2.14388,
        2.18538,
        2.13392,
        2.23893,
        2.15523,
        2.21682,
        2.05562,
        2.23873,
        2.29759,
        2.27742,
        1.80147,
        2.30332,
        2.16283,
        2.12561,
        2.33059,
        2.14536,
        1.85553,
        1.91093,
        2.02024,
        2.19051,
        2.20582,
        2.19504,
        2.2898,
        2.3766,
        2.05144,
        2.10515,
        2.18891,
        2.16035,
        2.12752,
        2.23682,
        2.18635,
        2.2395,
        2.14366,
        1.99082,
        2.16511,
        2.14385,
        2.07582,
        2.10382,
        2.12401,
        2.1988,
        2.20268,
        2.17642,
        2.13004,
        2.16003,
        2.10871,
        2.01324,
        2.12726,
        2.12595,
        2.15669,
        2.12574,
        2.08988,
        2.16053,
        2.16142,
        2.2016,
        2.16944,
        2.20611,
        2.04955,
        2.0368,
        1.99983,
        2.11762,
        2.16532,
        2.18361,
        2.1406,
        2.13443,
        2.17074,
        2.22086,
        2.12778,
        2.18009,
        2.14651,
        2.17214,
        2.21081,
        2.20828,
        2.18273,
        2.11448,
        2.20887,
        2.21399,
        2.08746,
        2.18415,
        2.20925,
        2.2076,
        2.16369,
        2.18515,
        2.18558,
        2.12763,
        2.1363,
        2.05114,
        2.06398,
        2.16386,
        2.14043,
        2.14433,
        2.10628,
        2.24271,
        2.1658,
        2.17942,
        2.11637,
        2.12786,
        2.19557,
        2.17677,
        2.17405,
        2.12496,
        2.15694,
        2.109,
        2.10136,
        2.21917,
        2.19944,
        2.1813,
        2.03638,
        2.25039,
        2.24523,
        2.19299,
        2.17039,
        2.14368,
        2.13007,
        2.1562,
        2.07516,
        2.1171,
        2.14087,
        2.14022,
        2.11628,
        2.1703,
        2.1171,
        2.20514,
        2.18343,
        2.2406,
        2.23255,
        2.30777,
        2.24831,
        2.19681,
        2.1385,
        2.2142,
        2.19721,
        2.2719,
        2.16683,
        2.14042,
        2.18118,
        2.29611,
        2.21878,
        2.14103,
        2.12337,
        2.14171,
        2.15807,
        2.03499,
        2.13433,
        2.16483,
        2.23627,
        2.17051,
        2.14548,
        2.17928,
        2.13994,
        2.16606,
        2.14942,
        2.17524,
        2.26056,
        2.13599,
        2.15543,
        2.17768,
        2.1436,
        2.12446,
        2.11679,
        2.16767,
        2.09131,
        2.12303,
        2.19338,
        2.16323,
        2.16081,
        2.2033,
        2.12641,
        2.10087,
        2.10194,
        2.09078,
        2.1882,
        2.13361,
        2.08577,
        2.08645,
        2.12151,
        2.16524,
        2.18385,
        2.21901,
        2.22924,
        2.10805,
        2.09377,
        2.16063,
        2.11937,
        2.10753,
        2.12396,
        2.18519,
        2.22757,
        2.16656,
        2.19189,
        2.14956,
        2.1622,
        2.13456,
        2.20666,
        2.1724,
        2.11449,
        2.19767,
        2.1508,
        2.10901,
        2.15998,
        2.1585,
        2.15502,
        2.13679,
        2.10212,
        2.14889,
        2.18425,
        2.17487,
        2.17067,
        2.19764,
        2.19472,
        2.22819,
        2.29129,
        2.18552,
        2.21547,
        2.26534,
        2.23658,
        2.26266,
        2.25823,
        2.24804,
        2.21154,
        2.28329,
        2.29433,
        2.21142,
        2.28094,
        2.28883,
        2.19418,
        2.20922,
        2.21052,
        2.2048,
        2.18487,
        2.27693,
        2.2086,
        2.17493,
        2.30883,
        2.24379,
        2.22922,
        2.21959,
        2.25458,
        2.2177,
        2.18335,
        2.18127,
        2.18239,
        2.2705,
        2.26571,
        2.27752,
        2.33712,
        2.2567,
        2.28331,
        2.26212,
        2.2931,
        2.24267,
        2.30202,
        2.21226,
        2.20786,
        2.24578,
        2.32312,
        2.28801,
        2.2201,
        2.21291,
        2.19973,
        2.21099,
        2.18136,
        2.24076,
        2.17267,
        2.21508,
        2.23128,
        2.23764,
        2.29217,
        2.22567,
        2.28227,
        2.27413,
        2.24908,
        2.29669,
        2.26166,
        2.26487,
        2.21815,
        2.20402,
        2.19768,
        2.22013,
        2.28773,
        2.27642,
        2.30075,
        2.26651,
        2.25539,
        2.31125,
        2.2828,
        2.28126,
        2.31139,
        2.34388,
        2.26046,
        2.25926,
        2.22678,
        2.2541,
        2.24856,
        2.22574,
        2.25206,
        2.1588,
        2.25277,
        2.19902,
        2.21988,
        2.26628,
        2.21696,
        2.22823,
        2.22129,
        2.28611,
        2.27309,
        2.23005,
        2.25408,
        2.17519,
        2.16897,
        2.21251,
        2.26248,
        2.15286,
        2.23093,
        2.23617,
        2.1299,
        2.15606,
        2.13657,
        2.18165,
        2.14461,
        2.16235,
        2.12831,
        2.17466,
        2.18894,
        2.17389,
        2.19534,
        2.08925,
        2.10238,
        2.1839,
        2.20453,
        2.19512,
        2.1299,
        2.1447,
        2.22451,
        2.23207,
        2.15551,
        2.18453,
        2.12821,
        2.1278,
        2.20721,
        2.19308,
        2.19948,
        2.18664,
        2.17661,
        2.21189,
        2.16171,
        2.19832,
        2.20449,
        2.16586,
        2.19032,
        2.19884,
        2.1681,
        2.21781,
        2.13973,
        2.23703,
        2.20699,
        2.18341,
        2.23754,
        2.2327,
        2.17816,
        2.20283,
        2.16001,
        2.18302,
        2.15915,
        2.16392,
        2.16754,
        2.18507,
        2.21237,
        2.14736,
        2.24482,
        2.20017,
        2.1741,
        2.13167,
        2.15262,
        2.11484,
        2.13224,
        2.19459,
        2.1318,
        2.19618,
        2.2582,
        2.18704,
        2.18653,
        2.21443,
        2.20519,
        2.22197,
        2.18273,
        2.17594,
        2.20879,
        2.15584,
        2.19545,
        2.17279,
        2.18085,
        2.20578,
        2.1779,
        2.20573,
        2.19031,
        2.16697,
        2.15886,
        2.11627,
        2.17356,
        2.28474,
        2.16211,
        2.1841,
        2.1894,
        2.17502,
        2.20404,
        2.15166,
        2.08441,
        2.12543,
        2.09303,
        2.06973,
        2.15463,
        2.20061,
        2.18868,
        2.17875,
        2.09462,
        2.12292,
        2.18559,
        2.16334,
        2.19622,
        2.12444,
        2.13477,
        2.21106,
        2.16211,
        2.22496,
        2.18672,
        2.19874,
        2.18685,
        2.15837,
        2.15662,
        2.17093,
        2.25632,
        2.15866,
        2.17133,
        2.19065,
        2.19403,
        2.15284,
        2.16796,
        2.15342,
        2.15724,
        2.14252,
        2.1702,
        2.23081,
        2.16403,
        2.24871,
        2.26935,
        2.2354,
        2.22907,
        2.24376,
        2.27917,
        2.25159,
        2.21038,
        2.16921,
        2.19531,
        2.15486,
        2.17554,
        2.18667,
        2.23584,
        2.18716,
        2.09425,
        2.10602,
        2.15479,
        2.17538,
        2.07449,
        2.16242,
        2.14149,
        2.11141,
        2.17472,
        2.19078,
        2.12431,
        2.17629,
        2.20707,
        2.18216,
        2.19485,
        2.18161,
        2.09182,
        2.13067,
        2.14669,
        2.2114,
        2.15905,
        2.22963,
        2.15404,
        2.15787,
        2.17579,
        2.16281,
        2.10441,
        2.12713,
        2.08495,
        2.17221,
        2.16403,
        2.21005,
        2.19025,
        2.19634,
        2.11345,
        2.09577,
        2.18911,
        2.10766,
        2.12658,
        2.12002,
        2.15294,
        2.10226,
        2.08199,
        2.09378,
        2.11791,
        2.17559,
        2.09653,
        2.15701,
        2.11001,
        2.15051,
        2.07954,
        2.12259,
        2.12137,
        2.14751,
        2.20286,
        2.21358,
        2.11934,
        2.11557,
        2.12691,
        2.14745,
        2.19008,
        2.19375,
        2.13153,
        2.19989,
        2.1316,
        2.10095,
        2.13213,
        2.14429,
        2.14509,
        2.18058,
        2.15133,
        2.09105,
        2.16134,
        2.16939,
        2.17422,
        2.16698,
        2.20025,
        2.18863,
        2.13027,
        2.15443,
        2.23902,
        2.20608,
        2.14611,
        2.17006,
        2.25455,
        2.19883,
        2.12164,
        2.13165,
        2.1819,
        2.16475,
        2.24409,
        2.18178,
        2.20921,
        2.15023,
        2.09145,
        2.10234,
        2.0924,
        2.16326,
        2.17096,
        2.10559,
        2.09975,
        2.1984,
        2.17643,
        2.17342,
        2.10786,
        2.11049,
        2.1615,
        2.12495,
        2.09103,
        2.10427,
        2.10874,
        2.06304,
        2.10721,
        2.07658,
        2.20095,
        2.1925,
        2.09579,
        2.20739,
        2.17874,
        2.11663,
        2.24457,
        2.20487,
        2.10658,
        2.16447,
        2.15416,
        2.10449,
        2.19855,
        2.16742,
        2.08014,
        2.02529,
        1.99623,
        2.11135,
        2.08818,
        2.15911,
        2.14803,
        2.03721,
        2.13299,
        2.11416,
        1.98207,
        2.11651,
        2.15868,
        2.2118,
        2.21439,
        2.17258,
        2.17504,
        2.15409,
        2.14881,
        2.07011,
        2.10195,
        2.11095,
        2.13818,
        2.15662,
        2.13863,
        2.11236,
        2.03347,
        2.10387,
        2.18392,
        2.15822,
        2.13596,
        2.1528,
        2.09871,
        2.11608,
        2.16081,
        2.12781,
        2.1368,
        2.07374,
        2.18071,
        2.19847,
        2.17445,
        2.08608,
        2.10871,
        2.17686,
        2.11267,
        2.09596,
        2.05219,
        2.09559,
        2.10734,
        2.10238,
        2.12855,
        2.11167,
        2.18489,
        2.12917,
        2.07839,
        2.14324,
        2.08545,
        2.12278,
        2.17942,
        2.12208,
        2.14335,
        2.15794,
        2.07009,
        2.07797,
        2.12308,
        2.12345,
        2.04727,
        2.11366,
        2.18026,
        2.21658,
        2.11968,
        2.11689,
        2.11884,
        2.21021,
        2.18792,
        2.15447,
        2.22992,
        2.14589,
        2.12149,
        2.09916,
        2.02349,
        2.14258,
        2.13899,
        2.15054,
        2.12191,
        2.08925,
        2.05141,
        2.11216,
        2.21559,
        2.16072,
        2.10433,
        2.12192,
        2.07897,
        2.03885,
        2.12348,
        2.09855,
        2.10247,
        2.16256,
        2.12772,
        2.20562,
        2.15294,
        2.12301,
        2.10626,
        2.15308,
        2.15768,
        2.20845,
        2.13734,
        2.10309,
        2.11623,
        2.17928,
        2.13786,
        2.16389,
        2.12513,
        2.20024,
        2.1535,
        2.12954,
        2.10271,
        2.12264,
        2.10998,
        2.16374,
        2.10983,
        2.08327,
        2.09887,
        2.1769,
        2.18641,
        2.0777,
        2.14189,
        2.075,
        2.06087,
        2.08087,
        2.0371,
        2.21159,
        2.11056,
        2.13414,
        2.14487,
        2.0744,
        2.02438,
        2.11592,
        2.18012,
        2.12133,
        2.10423,
        2.0619,
        2.01172,
        2.05493,
        2.03825,
        2.16742,
        2.15301,
        2.17217,
        2.14023,
        2.10404,
        2.12869,
        2.11916,
        2.02348,
        2.12838,
        2.1077,
        2.0547,
        2.12956,
        2.20325,
        2.2236,
        2.25374,
        2.19317,
        2.14413,
        2.14409,
        2.08191,
        2.21485,
        2.22153,
        2.15564,
        2.09053,
        2.15545,
        2.1487,
        2.16289,
        2.19694,
        2.15786,
        2.07998,
        2.14901,
        2.30505,
        2.23086,
        2.13537,
        2.21214,
        2.20893,
        2.20697,
        2.14431,
        2.14969,
        2.16241,
        2.26548,
        2.21761,
        2.20751,
        2.11605,
        2.14782,
        2.21427,
        2.19057,
        2.18381,
        2.13807,
        2.13164,
        2.03681,
        2.03484,
        2.096,
        2.17469,
        2.28928,
        2.14343,
        2.16513,
        2.21925,
        2.14426,
        2.17345,
        2.26672,
        2.22684,
        2.16082,
        2.09008,
        2.09211,
        2.13914,
        2.15338,
        2.1376,
        2.17085,
        2.10308,
        2.07587,
        2.12153,
        2.17132,
        2.12348,
        2.08724,
        2.09579,
        2.11013,
        2.11679,
        2.14373,
        2.11609,
        2.156,
        2.14185,
        2.13265,
        2.06923,
        2.05914,
        2.03758,
        2.15089,
        2.10329,
        2.09048,
        2.16653,
        2.09265,
        2.07332,
        2.2969,
        2.2324,
        2.21971,
        2.21678,
        2.23157,
        2.20327,
        2.227,
        2.20654,
        2.18376,
        2.22561,
        2.16083,
        2.26484,
        2.15576,
        2.09233,
        2.25939,
        2.22782,
        2.15465,
        2.18169,
        2.28839,
        2.15985,
        2.20847,
        2.17346,
        2.25024,
        2.33295,
        2.34593,
        2.34969,
        2.28666,
        2.40404,
        2.28157,
        2.34074,
        2.29696,
        2.24372,
        2.26918,
        2.29968,
        2.07095,
        2.18237,
        2.31629,
        2.30472,
        2.21662,
        2.20966,
        2.10424,
        2.36192,
        2.29344,
        2.26216,
        2.17194,
        2.22394,
        2.30489,
        2.28348,
        2.22531,
        2.23014,
        2.21876,
        2.16024,
        2.27007,
        2.23107,
        2.19885,
        2.40317,
        2.27688,
        2.25297,
        2.29158,
        2.32457,
        2.19558,
        2.26399,
        2.2392,
        2.15306,
        2.23809,
        2.15298,
        2.10435,
        2.11789,
        2.21183,
        2.26052,
        2.34496,
        2.28279,
        2.38471,
        2.1978,
        2.16072,
        2.3757,
        2.30136,
        2.20637,
        2.34867,
        2.23053,
        2.24686,
        2.17761,
        2.23717,
        2.37609,
        2.36896,
        2.2591,
        2.20316,
        2.32259,
        2.20631,
        2.39297,
        2.36176,
        2.1773,
        2.19508,
        2.26789,
        2.34952,
        2.17978,
        2.29459,
        2.22103,
        2.22337,
        2.2039,
        2.23336,
        2.32348,
        2.15752,
        2.18481,
        2.13838,
        2.13853,
        2.2369,
        2.22974,
        2.20434,
        2.10209,
        2.21029,
        2.21193,
        2.09723,
        2.29851,
        2.43987,
        2.2382,
        2.17978,
        2.26186,
        2.41045,
        2.37661,
        2.15106,
        2.19698,
        2.27641,
        2.28035,
        2.26111,
        2.19104,
        2.0768,
        2.24652,
        2.15617,
        2.22093,
        2.16386,
        2.07003,
        2.3066,
        2.16071,
        2.27573,
        2.07078,
        2.19847,
        2.26225,
        2.08861,
        2.2532,
        2.27829,
        2.01192,
        1.80833,
        2.02446,
        2.21263,
        2.39449,
        2.2158,
        2.27731,
        2.38591,
        2.24442,
        2.22503,
        2.12378,
        1.9233,
        2.07874,
        2.10171,
        2.11762,
        2.1903,
        2.07883,
        1.96605,
        2.14841,
        2.18257,
        2.07208,
        2.0764,
        2.24528,
        2.13927,
        1.96154,
        2.30428,
        2.5575,
        2.36827,
        2.12981,
        2.18794,
        2.24834,
        2.06404,
        1.84513,
        2.26344,
        2.53144,
        2.46675,
        2.34208,
        1.80932,
        1.78018,
        1.95109,
        1.99156,
        2.31645,
        2.49466,
        2.36377,
        2.27033,
        2.15705,
        2.22822,
        1.85158,
        2.16738,
        1.84264,
        2.07974,
        1.96936,
        2.15229,
        2.16061,
        2.39053,
        2.44148,
        2.51193,
        null,
        2.55628,
        2.04828,
        2.14314,
        2.13911,
        1.96203,
        2.08231,
        1.98847,
        2.11216,
        2.2775,
        2.37947,
        2.36648,
        2.21573,
        2.12853,
        2.44672,
        2.43133,
        2.14299,
        1.85011,
        2.1462,
        1.91076,
        2.15301,
        1.98832,
        1.86989,
        1.85145,
        2.21911,
        2.31669,
        2.1487,
        1.87826,
        1.84254,
        2.12246,
        2.17437,
        2.08619,
        2.0844,
        2.04919,
        2.11457,
        1.99215,
        1.93412,
        2.25239,
        2.29515,
        2.09021,
        2.04601,
        2.20231,
        2.31169,
        1.96738,
        1.81929,
        2.11118,
        2.30071,
        2.2137,
        1.90593,
        1.98835,
        2.07632,
        2.23014,
        2.32026,
        2.15968,
        2.15377,
        2.27056,
        2.07536,
        1.82684,
        2.07074,
        2.17691,
        2.18858,
        2.20027,
        2.0777,
        2.16494,
        2.08402,
        2.18118,
        2.21008,
        2.23232,
        2.18816,
        2.34847,
        2.09691,
        2.17869,
        2.29805,
        2.41383,
        2.35499,
        2.15591,
        2.10439,
        2.35644,
        2.14333,
        null,
        2.13184,
        2.18314,
        2.28003,
        2.20299,
        2.04046,
        2.25657,
        2.23172,
        2.23391,
        2.21982,
        2.24391,
        2.2081,
        2.18894,
        2.15351,
        2.32425,
        2.21229,
        2.21895,
        2.14057,
        2.20978,
        2.29134,
        2.3009,
        2.09251,
        2.12442,
        2.1621,
        2.15722,
        2.1977,
        2.26583,
        2.2038,
        2.28913,
        2.21139,
        2.27231,
        2.30446,
        2.21808,
        2.16869,
        2.12147,
        2.21371,
        2.14851,
        2.31395,
        2.26032,
        2.19877,
        2.16588,
        2.22023,
        2.27487,
        2.09915,
        2.22138,
        2.12235,
        2.15673,
        2.33478,
        2.25423,
        2.17024,
        2.14679,
        2.18091,
        2.20795,
        2.30009,
        2.24224,
        2.28387,
        2.15946,
        2.0761,
        2.15052,
        2.18121,
        2.19626,
        2.12925,
        2.14981,
        2.2571,
        2.28475,
        2.24412,
        2.26335,
        2.20768,
        2.27931,
        2.25683,
        2.23148,
        2.17369,
        2.21502,
        2.26381,
        2.0473,
        1.97146,
        2.16718,
        2.17501,
        2.16121,
        2.17219,
        2.14843,
        2.05451,
        2.31442,
        2.2104,
        2.00563,
        2.41526,
        2.21409,
        2.26125,
        2.11726,
        2.13628,
        2.10383,
        2.10201,
        2.02368,
        2.08032,
        2.26948,
        2.1143,
        1.96072,
        2.10738,
        2.1959,
        1.79677,
        2.22773,
        1.97574,
        2.13918,
        2.12631,
        2.17397,
        2.21421,
        2.13906,
        2.14399,
        2.63229,
        2.59736,
        2.12141,
        2.55061,
        2.19075,
        1.91221,
        2.33645,
        2.12892,
        2.24741,
        2.17988,
        2.20699,
        1.95514,
        2.16522,
        2.10274,
        2.11929,
        2.27003,
        2.34774,
        2.25185,
        2.17931,
        2.43547,
        2.34428,
        2.13662,
        2.18721,
        2.15509,
        2.28418,
        2.042,
        2.0945,
        2.12868,
        2.25832,
        1.90997,
        2.05369,
        2.13562,
        2.14846,
        2.08182,
        1.86628,
        2.21627,
        2.41469,
        2.13006,
        2.21872,
        2.15132,
        2.16145,
        2.13869,
        2.09214,
        2.08087,
        2.23539,
        2.17888,
        2.23651,
        2.33199,
        2.1501,
        2.14074,
        2.12882,
        2.08464,
        2.07804,
        2.09252,
        2.27988,
        2.1952,
        2.16871,
        2.16446,
        2.1931,
        2.10391,
        2.18336,
        2.24617,
        2.24206,
        2.11088,
        2.17012,
        2.23883,
        2.3389,
        2.27791,
        2.24927,
        2.21697,
        2.32259,
        2.23668,
        2.24931,
        2.2736,
        2.32312,
        2.33996,
        2.32581,
        2.22855,
        2.27546,
        2.19945,
        2.23776,
        2.25118,
        2.27778,
        2.29743,
        2.18312,
        2.14695,
        2.23628,
        2.17956,
        2.23431,
        2.28306,
        2.23977,
        2.25499,
        2.20872,
        2.16909,
        2.15996,
        2.16996,
        2.18292,
        2.23658,
        2.14387,
        2.207,
        2.20292,
        2.13096,
        2.09888,
        2.23639,
        2.13012,
        2.20704,
        2.28111,
        2.20839,
        2.18328,
        2.15471,
        2.1969,
        2.18927,
        2.14488,
        2.20734,
        2.15543,
        2.23224,
        2.24176,
        2.23336,
        2.15916,
        2.22309,
        2.31596,
        2.18232,
        2.25287,
        2.20616,
        2.18042,
        2.28779,
        2.14628,
        2.2424,
        2.19155,
        2.25913,
        2.17618,
        2.10043,
        2.20207,
        2.11509,
        2.13929,
        2.24073,
        2.1494,
        2.27784,
        2.20745,
        2.19656,
        2.27829,
        2.24285,
        2.23624,
        2.23368,
        2.20007,
        2.29975,
        2.17302,
        2.25333,
        2.26082,
        2.20947,
        2.15222,
        1.99867,
        2.13481,
        2.28581,
        2.29282,
        2.28179,
        2.09387,
        2.34813,
        2.24739,
        2.19915,
        2.05697,
        2.10699,
        2.10143,
        2.21464,
        2.29354,
        2.22441,
        2.06962,
        2.19784,
        2.22831,
        2.29043,
        2.18635,
        2.25488,
        2.19585,
        2.12067,
        2.12256,
        2.20677,
        2.11376,
        2.28423,
        2.27865,
        2.19803,
        2.26116,
        2.14093,
        2.26752,
        2.24529,
        2.11321,
        2.25037,
        2.26167,
        2.11055,
        2.19743,
        2.20675,
        2.25415,
        2.20914,
        2.18732,
        2.24281,
        2.26804,
        2.12798,
        2.11783,
        2.17792,
        2.17725,
        2.38554,
        2.36726,
        2.27305,
        2.2725,
        2.24909,
        2.31014,
        2.22486,
        2.3316,
        2.26069,
        2.26182,
        2.23499,
        2.19539,
        2.27448,
        2.30857,
        2.25703,
        2.30952,
        2.27621,
        2.29044,
        2.23714,
        2.27551,
        2.21936,
        2.29025,
        2.25643,
        2.12512,
        2.24012,
        2.23864,
        2.28058,
        2.31621,
        2.22478,
        2.36095,
        2.30867,
        2.35313,
        2.43138,
        2.28528,
        2.27683,
        2.26941,
        2.30603,
        2.27462,
        2.31008,
        2.27037,
        2.32856,
        2.35942,
        2.30739,
        2.20019,
        2.23727,
        2.15117,
        2.27142,
        2.29451,
        2.20971,
        2.16666,
        2.17225,
        2.36246,
        2.21746,
        2.3251,
        2.27711,
        2.23398,
        2.34003,
        2.10942,
        2.30401,
        2.31038,
        2.34021,
        2.24494,
        2.28385,
        2.16472,
        2.19626,
        2.21147,
        2.25389,
        2.15631,
        2.22001,
        2.26875,
        2.34954,
        2.23331,
        2.28357,
        2.23722,
        2.23804,
        2.23241,
        2.2289,
        2.32451,
        2.3495,
        2.34393,
        2.27437,
        2.25985,
        2.21787,
        2.30636,
        2.21378,
        2.2136,
        2.2477,
        2.36861,
        2.28445,
        2.25932,
        2.30336,
        2.27024,
        2.27203,
        2.22933,
        2.22533,
        2.28524,
        2.29055,
        2.26493,
        2.31867,
        2.40846,
        2.29511,
        2.20897,
        2.24522,
        2.29795,
        2.27903,
        2.3262,
        2.32334,
        2.23507,
        2.23722,
        2.29241,
        2.29126,
        2.24715,
        2.22333,
        2.27505,
        2.19049,
        2.2017,
        2.30475,
        2.27652,
        2.30551,
        2.24584,
        2.27656,
        2.26825,
        2.23651,
        2.15283,
        2.2039,
        2.21315,
        2.25549,
        2.2464,
        2.4078,
        2.34815,
        2.35069,
        2.37722,
        2.28184,
        2.27519,
        2.26731,
        2.28943,
        2.20653,
        2.1948,
        2.15596,
        2.23607,
        2.21476,
        2.10818,
        2.23073,
        2.20524,
        2.161,
        2.22416,
        2.21717,
        2.26456,
        2.34311,
        2.21622,
        2.19359,
        2.23144,
        2.17062,
        2.22914,
        2.17214,
        2.15394,
        2.24075,
        2.21863,
        2.27582,
        2.27497,
        2.26048,
        2.22986,
        2.2699,
        2.18084,
        2.249,
        2.20544,
        2.26418,
        2.21936,
        2.18535,
        2.29811,
        2.19684,
        2.36287,
        2.20746,
        2.16829,
        2.25767,
        2.32638,
        2.30179,
        2.37177,
        2.37993,
        2.31318,
        2.27786,
        2.20539,
        2.24339,
        2.49095,
        1.94838,
        2.51733,
        2.76163,
        2.18792,
        2.08231,
        2.24318,
        2.41208,
        2.30124,
        2.40107,
        2.42964,
        2.33198,
        2.23374,
        2.17777,
        2.31848,
        2.27707,
        2.29671,
        2.27051,
        2.25602,
        2.13136,
        2.13313,
        2.11879,
        2.18874,
        2.19487,
        2.06557,
        2.14823,
        2.2036,
        2.12807,
        2.21697,
        2.24317,
        2.17124,
        2.15977,
        2.15428,
        2.14239,
        2.19544,
        2.28136,
        2.2144,
        2.36363,
        2.26421,
        2.16347,
        2.18294,
        2.16149,
        2.23391,
        2.1884,
        2.09334,
        2.16684,
        2.17284,
        2.17302,
        2.2607,
        2.31404,
        2.33161,
        2.14037,
        2.13836,
        2.18617,
        2.19361,
        2.23576,
        2.34364,
        2.30585,
        2.01933,
        2.19158,
        2.141,
        2.26858,
        2.22668,
        2.26747,
        2.31592,
        2.17132,
        2.11655,
        2.21091,
        2.30896,
        2.31042,
        2.24743,
        2.3796,
        2.01867,
        2.05123,
        2.1137,
        2.04103,
        2.2985,
        2.4897,
        2.08692,
        1.99906,
        2.09685,
        2.41963,
        2.26766,
        2.20009,
        2.29963,
        2.22465,
        2.31125,
        2.23513,
        2.25658,
        2.23912,
        2.17896,
        2.29604,
        2.24736,
        2.17752,
        2.26176,
        2.40215,
        2.27064,
        2.27448,
        2.3255,
        2.21186,
        2.17125,
        2.17648,
        2.20075,
        2.24285,
        2.2493,
        2.27304,
        2.23527,
        2.21885,
        2.30331,
        2.21614,
        2.31159,
        2.27751,
        2.33252,
        2.21406,
        2.15871,
        2.14481,
        2.11995,
        2.16517,
        2.22953,
        2.2126,
        2.23029,
        2.29495,
        2.28325,
        2.1678,
        2.13223,
        2.20487,
        2.25283,
        2.26756,
        2.20075,
        2.06703,
        2.21851,
        2.3488,
        2.24465,
        2.30905,
        2.33896,
        2.21206,
        2.18972,
        2.23449,
        2.3235,
        2.32764,
        2.2125,
        2.20572,
        2.14125,
        1.94561,
        2.15907,
        2.1834,
        2.17117,
        2.14904,
        2.27652,
        2.17905,
        2.1539,
        2.24605,
        2.03307,
        2.36301,
        2.26747,
        2.29312,
        2.85628,
        2.46156,
        2.32946,
        2.18893,
        2.58365,
        2.19552,
        2.32339,
        2.29583,
        1.93742,
        2.31397,
        2.26351,
        1.97185,
        2.3098,
        2.44423,
        2.05466,
        2.20567,
        2.08131,
        2.11798,
        2.1181,
        2.18869,
        2.14012,
        2.21537,
        2.28986,
        2.12308,
        2.05238,
        1.92296,
        2.00102,
        2.14491,
        2.28991,
        2.16013,
        2.10883,
        2.30595,
        2.27763,
        2.41268,
        2.29242,
        2.41163,
        2.30787,
        2.20021,
        2.26132,
        2.29671,
        2.20712,
        2.19822,
        2.12054,
        2.18576,
        2.1927,
        2.03443,
        2.15802,
        2.16507,
        2.18839,
        2.41954,
        2.29634,
        2.12797,
        2.06101,
        2.31013,
        2.35753,
        2.32787,
        2.1036,
        2.14315,
        2.41921,
        2.33907,
        2.21424,
        2.16525,
        2.29023,
        2.45579,
        2.33816,
        1.98674,
        2.28673,
        2.35628,
        2.28475,
        2.22686,
        2.32781,
        2.26667,
        2.22792,
        2.16181,
        2.17986,
        2.2906,
        2.29921,
        2.19978,
        1.92975,
        2.1929,
        2.30327,
        2.12421,
        2.06186,
        2.10563,
        2.0561,
        2.17456,
        2.07213,
        1.93372,
        2.09124,
        2.05073,
        2.32865,
        2.00465,
        1.98951,
        2.19699,
        2.31904,
        2.01697,
        1.75092,
        1.961,
        2.12895,
        2.42696,
        2.33895,
        2.26229,
        2.12278,
        2.12107,
        2.00942,
        2.26263,
        2.31243,
        2.28478,
        2.353,
        1.96613,
        2.18068,
        2.68974,
        2.43117,
        2.05608,
        2.22974,
        2.18883,
        2.28988,
        2.30674,
        2.19474,
        2.17454,
        2.10956,
        1.96392,
        2.11996,
        2.19941,
        2.20834,
        2.44105,
        2.16096,
        2.34677,
        1.95908,
        2.17915,
        2.07928,
        2.25823,
        2.27193,
        2.04162,
        2.12373,
        2.27336,
        2.38078,
        2.30197,
        2.33857,
        2.30843,
        2.14611,
        2.27379,
        2.29804,
        2.20618,
        2.19922,
        2.49125,
        2.38557,
        2.30919,
        2.22229,
        2.11435,
        2.25918,
        2.27154,
        2.01476,
        2.04216,
        2.25158,
        2.13029,
        2.04913,
        2.39736,
        2.14926,
        2.32163,
        2.43545,
        2.31535,
        2.28553,
        2.07711,
        2.25169,
        2.25158,
        2.34575,
        2.24885,
        2.21565,
        2.31969,
        2.29342,
        2.26146,
        2.25702,
        2.29035,
        2.34542,
        2.22118,
        2.18805,
        2.3112,
        2.11184,
        2.25479,
        2.1409,
        2.23448,
        2.14851,
        2.27143,
        2.28525,
        2.27422,
        2.17536,
        2.2286,
        2.36006,
        2.34694,
        2.29908,
        2.27167,
        2.36321,
        2.25558,
        2.22118,
        2.19335,
        2.27337,
        2.19834,
        2.36317,
        2.32304,
        2.25004,
        2.28312,
        2.39527,
        2.29942,
        2.24851,
        2.29614,
        2.25368,
        2.2583,
        2.3294,
        2.32647,
        2.32451,
        2.33373,
        2.25541,
        2.27728,
        2.33641,
        2.32204,
        2.25241,
        2.25056,
        2.34065,
        2.41752,
        2.36472,
        2.26644,
        2.30999,
        2.25245,
        2.20991,
        2.23748,
        2.30087,
        2.27082,
        2.21637,
        2.28141,
        2.15585,
        2.31839,
        2.28243,
        2.22594,
        2.27756,
        2.28391,
        2.28354,
        2.31231,
        2.24728,
        2.32465,
        2.35313,
        2.34357,
        2.342,
        2.22815,
        2.3266,
        2.37651,
        2.35113,
        2.30231,
        2.30989,
        2.24168,
        2.31218,
        2.25716,
        2.29165,
        2.34186,
        2.34278,
        2.35296,
        2.31052,
        2.19398,
        2.25465,
        2.36018,
        2.41023,
        2.26617,
        2.26835,
        2.20231,
        2.34953,
        2.32073,
        2.35179,
        2.35593,
        2.3481,
        2.30757,
        2.27865,
        2.28669,
        2.30677,
        2.25073,
        2.27888,
        2.32638,
        2.37475,
        2.36039,
        2.22823,
        2.35504,
        2.22627,
        2.31016,
        2.4053,
        2.3887,
        2.33074,
        2.2287,
        2.35743,
        2.28147,
        2.20912,
        2.29608,
        2.30074,
        2.35033,
        2.33505,
        2.29744,
        2.27475,
        2.37272,
        2.38184,
        2.3892,
        2.34946,
        2.31259,
        2.35209,
        2.37453,
        2.29745,
        2.29225,
        2.36278,
        2.24988,
        2.34883,
        2.23856,
        2.22004,
        2.26881,
        2.24051,
        2.20318,
        2.18657,
        2.22588,
        2.28928,
        2.24214,
        2.22298,
        2.23435,
        2.20877,
        2.18276,
        2.27265,
        2.24202,
        2.24723,
        2.20699,
        2.14775,
        2.18806,
        2.22771,
        2.19153,
        2.24299,
        2.19411,
        2.14697,
        2.08855,
        2.23184,
        2.29186,
        2.20828,
        2.25925,
        2.30347,
        2.27249,
        2.28711,
        2.31666,
        2.23341,
        2.27058,
        2.25867,
        2.30258,
        2.31726,
        2.35511,
        2.20784,
        2.24437,
        2.31008,
        2.33063,
        2.29435,
        2.22463,
        2.35025,
        2.21322,
        2.2448,
        2.32976,
        2.31877,
        2.36363,
        2.32506,
        2.32477,
        2.16877,
        2.38082,
        2.38267,
        2.22139,
        2.26199,
        2.26267,
        2.23797,
        2.29742,
        2.3321,
        2.30984,
        2.24552,
        2.24676,
        2.27799,
        2.36496,
        2.28224,
        2.32724,
        2.24954,
        2.27792,
        2.33017,
        2.35856,
        2.37047,
        2.29762,
        2.29769,
        2.25574,
        2.25549,
        2.22073,
        2.18937,
        2.25927,
        2.3148,
        2.28449,
        2.14405,
        2.2562,
        2.28195,
        2.28563,
        2.17684,
        2.28379,
        2.27116,
        2.26828,
        2.26487,
        2.28299,
        2.21284,
        2.2236,
        2.2946,
        2.32494,
        2.28462,
        2.33706,
        2.27763,
        2.27096,
        2.36879,
        2.35111,
        2.24461,
        2.24669,
        2.27526,
        2.33096,
        2.31459,
        2.35137,
        2.3048,
        2.29503,
        2.24861,
        2.19609,
        2.21432,
        2.29706,
        2.27401,
        2.28181,
        2.22941,
        2.13711,
        2.16839,
        2.27853,
        2.33736,
        2.30452,
        2.25676,
        2.21289,
        2.25822,
        2.30197,
        2.33612,
        2.26976,
        2.25866,
        2.22085,
        2.27204,
        2.23159,
        2.25543,
        2.32744,
        2.36495,
        2.33014,
        2.29153,
        2.3359,
        2.28941,
        2.27226,
        2.29171,
        2.28227,
        2.31909,
        2.27832,
        2.19686,
        2.3114,
        2.38554,
        2.39696,
        2.30147,
        2.28625,
        2.23808,
        2.28307,
        2.2736,
        2.34851,
        2.37069,
        2.35941,
        2.1775,
        2.17935,
        2.155,
        2.25256,
        2.30587,
        2.30319,
        2.28265,
        2.23104,
        2.31659,
        2.3132,
        2.37607,
        2.28662,
        2.30351,
        2.30001,
        2.20363,
        2.22004,
        2.23656,
        2.23815,
        2.22851,
        2.25987,
        2.33546,
        2.36967,
        2.29632,
        2.21166,
        2.38039,
        2.39319,
        2.24865,
        2.29973,
        2.30974,
        2.38023,
        2.41885,
        2.37564,
        2.40763,
        2.38534,
        2.26727,
        2.31965,
        2.33419,
        2.28047,
        2.23763,
        2.24634,
        2.20858,
        2.26145,
        2.22587,
        2.247,
        2.2682,
        2.2177,
        2.25508,
        2.28475,
        2.35913,
        2.25069,
        2.33498,
        2.31166,
        2.29402,
        2.30079,
        2.34925,
        2.2657,
        2.30957,
        2.27803,
        2.32333,
        2.4109,
        2.37052,
        2.1989,
        2.21245,
        2.31192,
        2.28759,
        2.23859,
        2.29365,
        2.24105,
        2.14825,
        2.21452,
        2.30189,
        2.42267,
        2.32833,
        2.23654,
        2.14311,
        2.25315,
        2.27138,
        2.28756,
        2.38306,
        2.40901,
        2.42792,
        2.48341,
        2.28465,
        2.31948,
        2.41552,
        2.22953,
        2.22323,
        2.24363,
        2.1895,
        2.34747,
        2.43033,
        2.32263,
        2.10673,
        2.29791,
        2.45693,
        2.60507,
        2.51485,
        2.0053,
        2.21486,
        2.66139,
        2.47533,
        2.40101,
        2.44853,
        2.37668,
        2.41149,
        2.53886,
        2.25795,
        2.31293,
        2.34078,
        2.38492,
        2.21334,
        2.41614,
        2.29828,
        2.28539,
        2.33022,
        2.41353,
        2.38337,
        2.36902,
        2.33685,
        2.43763,
        2.40601,
        2.43911,
        2.50035,
        2.50763,
        2.35331,
        2.28395,
        2.41445,
        2.38918,
        2.32688,
        2.34415,
        2.37119,
        2.42565,
        2.36399,
        2.41428,
        2.40927,
        2.36306,
        2.45162,
        2.39755,
        2.28788,
        2.40157,
        2.46308,
        2.44693,
        2.41033,
        2.40392,
        2.53869,
        2.47189,
        2.40946,
        2.3741,
        2.30109,
        2.32604,
        2.50454,
        2.52995,
        2.46357,
        2.46254,
        2.36806,
        2.30831,
        2.37068,
        2.55714,
        2.51586,
        2.54142,
        2.42059,
        2.39215,
        2.39228,
        2.39966,
        2.45428,
        2.44864,
        2.38287,
        2.39778,
        2.48664,
        2.5053,
        2.49773,
        2.47595,
        2.50246,
        2.49915,
        2.52883,
        2.48675,
        2.44979,
        2.4564,
        2.38592,
        2.47467,
        2.48598,
        2.50167,
        2.50839,
        2.50802,
        2.6148,
        2.45793,
        2.36301,
        2.51996,
        2.50194,
        2.52115,
        2.50775,
        2.47006,
        2.63499,
        2.61421,
        2.50515,
        2.43883,
        2.49869,
        2.60791,
        2.53749,
        2.38838,
        2.49295,
        2.55428,
        2.56773,
        2.55209,
        2.51994,
        2.51075,
        2.54126,
        2.57826,
        2.5875,
        2.52738,
        2.49359,
        2.43304,
        2.38222,
        2.50103,
        2.44226,
        2.44084,
        2.49638,
        2.49886,
        2.44732,
        2.40569,
        2.35187,
        2.42936,
        2.44991,
        2.61584,
        2.54811,
        2.49712,
        2.53131,
        2.58011,
        2.56722,
        2.62762,
        2.63,
        2.64337,
        2.59908,
        2.53716,
        2.68343,
        2.51226,
        2.58111,
        2.49474,
        2.53915,
        2.65519,
        2.62431,
        2.63273,
        2.61196,
        2.52984,
        2.54908,
        2.66276,
        2.70677,
        2.60198,
        2.56323,
        2.48686,
        2.48481,
        2.61219,
        2.58259,
        2.59253,
        2.63859,
        2.51504,
        2.66903,
        2.53273,
        2.56725,
        2.52849,
        2.54006,
        2.48523,
        2.44268,
        2.54242,
        2.52004,
        2.45518,
        2.40918,
        2.56283,
        2.64019,
        2.5045,
        2.55266,
        2.52181,
        2.54082,
        2.60665,
        2.58615,
        2.53562,
        2.51111,
        2.49748,
        2.63401,
        2.68124,
        2.56282,
        2.43644,
        2.50176,
        2.51012,
        2.53661,
        2.58143,
        2.6175,
        2.47707,
        2.45768,
        2.46607,
        2.45368,
        2.44677,
        2.46367,
        2.61026,
        2.63266,
        2.76782,
        2.67859,
        2.65433,
        2.61635,
        2.58606,
        2.58803,
        2.62926,
        2.56374,
        2.59106,
        2.48843,
        2.49442,
        2.61511,
        2.52504,
        2.60774,
        2.42963,
        2.46303,
        2.46667,
        2.47605,
        2.59584,
        2.53376,
        2.33224,
        2.4232,
        2.53004,
        2.60924,
        2.63132,
        2.62646,
        2.61135,
        2.49168,
        2.58048,
        2.6915,
        2.68529,
        2.51849,
        2.51066,
        2.50157,
        2.49446,
        2.7624,
        2.60628,
        2.41326,
        2.565,
        2.59314,
        2.62541,
        2.67492,
        2.43857,
        2.73882,
        2.40173,
        2.58398,
        2.43989,
        2.45063,
        2.44976,
        2.5948,
        2.68481,
        2.54477,
        2.63499,
        2.5533,
        2.60576,
        2.63489,
        2.40956,
        2.47223,
        2.46565,
        2.56537,
        2.58846,
        2.41748,
        2.37154,
        2.4427,
        2.40131,
        2.37235,
        2.21598,
        2.25697,
        2.38963,
        2.38325,
        2.5503,
        2.51338,
        2.39052,
        2.27612,
        2.32145,
        2.33646,
        2.38461,
        2.33681,
        2.42297,
        2.34614,
        2.39481,
        2.53613,
        2.49803,
        2.25897,
        2.24728,
        2.30609,
        2.41676,
        2.45698,
        2.45905,
        2.52343,
        2.41949,
        2.39421,
        2.34268,
        2.27664,
        2.26957,
        2.34257,
        2.39025,
        2.34444,
        2.27614,
        2.35093,
        2.38213,
        2.50141,
        2.37991,
        2.34456,
        2.38016,
        2.49583,
        2.39549,
        2.42482,
        2.60458,
        2.48202,
        2.51493,
        2.58943,
        2.60145,
        2.42412,
        2.47307,
        2.47561,
        2.44663,
        2.49549,
        2.48882,
        2.41394,
        2.41226,
        2.37933,
        2.45221,
        2.40208,
        2.23319,
        2.35838,
        2.53772,
        2.43094,
        2.40801,
        2.32548,
        2.49004,
        2.446,
        2.4863,
        2.2988,
        2.29998,
        2.19575,
        2.48029,
        2.42464,
        2.47031,
        2.31615,
        2.30351,
        2.29488,
        2.45042,
        2.33712,
        2.38561,
        2.46473,
        2.42646,
        2.28614,
        2.27286,
        2.29936,
        2.30617,
        2.28345,
        2.35911,
        2.38124,
        2.36272,
        2.32355,
        2.18011,
        2.27031,
        2.34501,
        2.35061,
        2.42674,
        2.48144,
        2.50057,
        2.34685,
        2.37699,
        2.36921,
        2.45372,
        2.38631,
        2.31618,
        2.46268,
        2.45912,
        2.41928,
        2.45556,
        2.36993,
        2.32006,
        2.3833,
        2.34657,
        2.35573,
        2.45814,
        2.3542,
        2.28199,
        2.37932,
        2.40907,
        2.47133,
        2.52073,
        2.55342,
        2.56498,
        2.36177,
        2.41685,
        2.45538,
        2.39278,
        2.53513,
        2.37171,
        2.33028,
        2.49936,
        2.56244,
        2.3809,
        2.33787,
        2.19937,
        2.37009,
        2.32732,
        2.46982,
        2.30489,
        2.38906,
        2.45502,
        2.42191,
        2.35118,
        2.44228,
        2.39599,
        2.35878,
        2.28676,
        2.37218,
        2.15006,
        2.27844,
        2.19928,
        2.18088,
        2.29233,
        2.37013,
        2.34081,
        2.25857,
        2.31204,
        2.2195,
        2.17071,
        2.37197,
        2.30668,
        2.31787,
        2.34865,
        2.45218,
        2.52649,
        2.30279,
        2.31371,
        2.30426,
        2.20341,
        2.41209,
        2.39547,
        2.19786,
        2.33921,
        2.26396,
        2.13645,
        2.25207,
        2.36652,
        2.40077,
        2.43245,
        2.31288,
        2.23208,
        2.31371,
        2.24981,
        2.26699,
        2.31563,
        2.44381,
        2.23686,
        2.30576,
        2.23055,
        2.24221,
        2.15603,
        2.26746,
        2.4353,
        2.22265,
        2.3344,
        2.19379,
        2.17972,
        2.3392,
        2.21888,
        2.14291,
        2.42172,
        2.206,
        2.45114,
        2.40245,
        2.54461,
        2.23455,
        2.22926,
        2.15502,
        2.21781,
        2.20459,
        2.35602,
        2.33577,
        2.29632,
        2.39836,
        2.23503,
        2.21161,
        2.42456,
        2.25738,
        2.39114,
        2.10953,
        2.24322,
        2.26338,
        2.20817,
        2.08229,
        2.28551,
        2.37266,
        2.20989,
        2.14424,
        2.19043,
        2.29263,
        2.35316,
        2.25203,
        2.34235,
        2.39035,
        2.275,
        2.34833,
        2.29853,
        2.06138,
        2.03959,
        2.17925,
        2.05466,
        2.42163,
        2.20924,
        2.23933,
        2.22888,
        2.37359,
        2.27031,
        2.02693,
        2.0972,
        2.3327,
        2.24266,
        2.48372,
        2.32114,
        2.16549,
        2.27458,
        2.1428,
        2.27462,
        2.57371,
        2.19071,
        2.18332,
        2.34055,
        2.32102,
        2.09726,
        2.26395,
        2.00524,
        2.11946,
        2.19089,
        2.07232,
        2.21697,
        2.49247,
        2.29907,
        1.8948,
        2.25301,
        2.32708,
        2.31145,
        1.98771,
        2.33441,
        2.05858,
        1.95599,
        1.85319,
        1.95998,
        1.87382,
        2.45509,
        1.88574,
        2.34442,
        2.4234,
        2.3807,
        2.67303,
        2.41822,
        2.57887,
        2.65779,
        null,
        2.25646,
        2.37275,
        2.57688,
        2.19552,
        2.044,
        2.10018,
        2.31909,
        2.13304,
        1.74595,
        2.17107,
        2.04954,
        2.27352,
        2.37301,
        2.24143,
        2.46299,
        2.72227,
        2.61029,
        2.05385,
        2.05784,
        2.10296,
        2.19611,
        2.1354,
        2.09518,
        1.93024,
        2.14007,
        2.34364,
        2.31768,
        2.46114,
        2.21628,
        2.23954,
        2.2173,
        2.54107,
        2.30536,
        2.39194,
        2.68291,
        2.45785,
        2.20794,
        2.33184,
        1.95493,
        2.06697,
        2.43703,
        2.20588,
        2.20537,
        2.27868,
        2.20788,
        2.31375,
        2.49468,
        2.24711,
        2.21576,
        1.93897,
        1.99871,
        2.43229,
        2.3533,
        2.1387,
        2.43724,
        2.41466,
        2.40436,
        2.22226,
        2.12736,
        1.98683,
        2.34778,
        2.44554,
        2.16169,
        2.18322,
        2.44269,
        2.18879,
        2.25968,
        2.17903,
        2.3847,
        2.27932,
        2.02274,
        2.06132,
        2.33384,
        2.4475,
        2.28208,
        2.35142,
        2.13024,
        2.52079,
        2.45346,
        2.19851,
        2.19049,
        2.06244,
        2.1905,
        2.258,
        2.05109,
        2.14959,
        2.13344,
        2.29486,
        2.32396,
        2.13237,
        2.30591,
        2.62213,
        2.33563,
        2.22296,
        2.40849,
        2.27334,
        2.37062,
        2.32658,
        2.22621,
        2.32937,
        2.14364,
        2.06949,
        2.11378,
        2.15067,
        2.34932,
        2.32004,
        2.28228,
        2.11354,
        2.38645,
        2.33953,
        2.5674,
        2.3495,
        2.03272,
        2.10314,
        2.41751,
        2.54335,
        1.94751,
        2.19815,
        2.32261,
        2.802,
        2.12617,
        2.15552,
        1.99179,
        2.31941,
        2.20196,
        2.15572,
        2.12347,
        2.21887,
        2.35363,
        2.16392,
        2.1789,
        2.1316,
        2.34617,
        2.44127,
        2.27355,
        2.37127,
        2.48595,
        2.4846,
        2.2211,
        2.30857,
        2.15448,
        2.23422,
        2.16652,
        2.35167,
        2.2321,
        2.25351,
        2.20776,
        2.37401,
        2.31713,
        2.27918,
        2.24996,
        2.29067,
        2.24912,
        2.14864,
        2.19848,
        2.31471,
        2.15042,
        2.14549,
        2.18431,
        2.24812,
        2.34116,
        2.32533,
        2.27908,
        2.25511,
        2.33754,
        2.27592,
        2.28539,
        2.2501,
        2.2302,
        2.36556,
        2.31678,
        2.34728,
        2.12985,
        2.22288,
        2.39776,
        2.28185,
        2.38922,
        2.17545,
        2.28804,
        2.23042,
        2.25448,
        2.15482,
        2.23612,
        2.32499,
        2.43818,
        2.32509,
        2.17541,
        2.14217,
        2.08792,
        2.20528,
        2.29127,
        2.29981,
        2.20422,
        2.48049,
        2.12021,
        2.10762,
        2.25635,
        2.18217,
        2.19116,
        2.13823,
        2.23536,
        2.196,
        2.1105,
        2.22629,
        2.35868,
        2.24594,
        2.32451,
        2.39444,
        2.25492,
        2.33262,
        2.24762,
        2.31987,
        2.11147,
        2.25612,
        2.42884,
        2.2303,
        2.32759,
        2.33476,
        2.23848,
        2.23947,
        2.17985,
        2.10537,
        2.14456,
        2.23794,
        2.3373,
        2.2591,
        2.16336,
        2.37375,
        2.29937,
        2.1861,
        2.18392,
        2.26932,
        2.26532,
        2.40467,
        2.1663,
        2.18877,
        2.33219,
        2.35978,
        2.28273,
        2.20521,
        2.17973,
        2.20001,
        2.19017,
        2.26216,
        2.11362,
        2.14205,
        2.17067,
        2.07582,
        2.33665,
        2.21008,
        2.2612,
        2.51497,
        2.40442,
        2.42867,
        2.28993,
        2.01485,
        2.37444,
        2.24337,
        2.45507,
        2.24972,
        2.15055,
        2.14733,
        2.15428,
        2.19354,
        2.18258,
        2.30536,
        2.1624,
        2.25158,
        2.20066,
        2.25948,
        2.24884,
        2.19257,
        2.32945,
        2.26538,
        2.27142,
        2.15935,
        2.19724,
        2.25905,
        2.27813,
        2.20759,
        2.1682,
        2.19263,
        2.32386,
        2.33047,
        2.38024,
        2.35835,
        2.23002,
        2.15479,
        2.20611,
        2.10341,
        1.98933,
        2.15383,
        2.13677,
        2.30398,
        2.26877,
        2.1891,
        2.2285,
        2.19374,
        2.09662,
        2.14768,
        2.22309,
        2.27409,
        2.37397,
        2.21692,
        2.24799,
        2.25164,
        2.12799,
        2.1162,
        2.25922,
        2.19709,
        2.3846,
        2.28892,
        2.2003,
        2.17541,
        2.15904,
        2.12931,
        2.14122,
        2.18777,
        2.18514,
        2.14828,
        2.33704,
        2.35012,
        2.31027,
        2.1963,
        2.24672,
        2.36823,
        2.43938,
        2.25066,
        2.31743,
        2.42999,
        2.18931,
        2.30791,
        2.30689,
        2.28341,
        2.3983,
        2.28891,
        2.31108,
        2.31064,
        2.25713,
        2.3489,
        2.30432,
        2.24322,
        2.36121,
        2.36504,
        2.39743,
        2.35904,
        2.41726,
        2.42914,
        2.4064,
        2.42179,
        2.33901,
        2.33705,
        2.45458,
        2.32571,
        2.27349,
        2.30441,
        2.39551,
        2.2839,
        2.27984,
        2.26064,
        2.34151,
        2.21774,
        2.274,
        2.42224,
        2.35044,
        2.2929,
        2.28827,
        2.32155,
        2.35036,
        2.29503,
        2.34719,
        2.34554,
        2.39367,
        2.32902,
        2.3604,
        2.27384,
        2.25754,
        2.1658,
        2.32221,
        2.31087,
        2.26308,
        2.26057,
        2.29822,
        2.22919,
        2.34576,
        2.37769,
        2.45555,
        2.34294,
        2.31563,
        2.32574,
        2.23963,
        2.08896,
        2.20579,
        2.51626,
        1.83584,
        1.88463,
        2.38449,
        2.17927,
        2.28336,
        2.3136,
        2.20848,
        2.39689,
        2.30124,
        2.46348,
        2.20532,
        2.2659,
        2.38473,
        2.33728,
        2.22789,
        2.27825,
        2.28245,
        2.33147,
        2.23653,
        2.27245,
        2.39137,
        2.2817,
        2.26841,
        2.29782,
        2.25831,
        2.23779,
        2.28859,
        2.27897,
        2.3709,
        2.39133,
        2.25443,
        2.25714,
        2.32798,
        2.17235,
        2.28333,
        2.30447,
        2.29054,
        2.37412,
        2.31924,
        2.22944,
        2.16735,
        2.19435,
        2.18821,
        2.26342,
        2.30373,
        2.31604,
        2.32929,
        2.41837,
        2.2444,
        2.38796,
        2.31781,
        2.226,
        2.24405,
        2.28697,
        2.2225,
        2.25931,
        2.20621,
        2.20991,
        2.05941,
        2.12559,
        2.27938,
        2.11258,
        2.10916,
        2.29522,
        2.14468,
        2.10347,
        2.16181,
        2.16107,
        2.22223,
        2.09602,
        2.22296,
        2.16613,
        2.28198,
        2.33872,
        2.23346,
        2.15444,
        2.26511,
        2.14466,
        2.3537,
        2.25384,
        2.12582,
        2.24527,
        2.04115,
        2.22456,
        2.20935,
        2.26748,
        2.35354,
        2.58425,
        2.36456,
        2.32528,
        2.11443,
        2.20285,
        2.08701,
        1.90263,
        2.24061,
        2.22069,
        2.02102,
        2.14305,
        2.14439,
        2.3125,
        2.29456,
        2.37961,
        2.41418,
        2.17057,
        2.07681,
        2.2016,
        2.34612,
        2.256,
        2.13782,
        2.07403,
        2.14497,
        2.07731,
        2.19538,
        2.20481,
        2.4129,
        2.33503,
        2.27759,
        2.17187,
        2.31156,
        2.29988,
        2.29717,
        2.27513,
        2.2021,
        2.18264,
        2.23762,
        2.25579,
        2.27948,
        2.23322,
        2.12072,
        2.20366,
        2.34449,
        2.26638,
        2.18072,
        2.29094,
        2.23136,
        2.17144,
        2.16336,
        2.33026,
        2.28319,
        2.18343,
        2.17623,
        2.28344,
        2.28167,
        2.25861,
        2.3338,
        2.36658,
        2.27312,
        2.16911,
        2.25415,
        2.40202,
        2.42466,
        2.35068,
        2.31661,
        2.32208,
        2.16644,
        2.25954,
        2.27473,
        2.26989,
        2.16723,
        2.19133,
        2.37161,
        2.26332,
        2.19095,
        2.11351,
        2.29254,
        2.26167,
        2.27485,
        2.2485,
        2.40896,
        2.27769,
        2.26235,
        2.2207,
        2.3165,
        2.34816,
        2.30778,
        2.27212,
        2.2705,
        2.27958,
        2.36586,
        2.34445,
        2.31197,
        2.30783,
        2.23202,
        2.2833,
        2.39037,
        2.32689,
        2.33462,
        2.24527,
        2.32247,
        2.21939,
        2.28827,
        2.38817,
        2.17982,
        2.32436,
        2.1914,
        2.19687,
        2.30881,
        2.24421,
        2.29438,
        2.20645,
        2.22709,
        2.27128,
        2.36881,
        2.29411,
        2.23398,
        2.35404,
        2.3204,
        2.28805,
        2.41634,
        2.32158,
        2.29414,
        2.27315,
        2.38931,
        2.2388,
        2.27065,
        2.30653,
        2.26531,
        2.19253,
        2.25727,
        2.22458,
        2.19921,
        2.07512,
        2.19437,
        2.24568,
        2.24008,
        2.19431,
        2.22418,
        2.24566,
        2.24027,
        2.21868,
        2.28242,
        2.25774,
        2.21125,
        2.27235,
        2.1829,
        2.23477,
        2.26723,
        2.28048,
        2.18752,
        2.283,
        2.33185,
        2.32747,
        2.25127,
        2.32695,
        2.27478,
        2.15068,
        2.27321,
        2.31903,
        2.26744,
        2.14783,
        2.27855,
        2.35596,
        2.2102,
        2.25873,
        2.31669,
        2.26386,
        2.21777,
        2.25568,
        2.26528,
        2.23202,
        2.2282,
        2.29942,
        2.31376,
        2.28114,
        2.30649,
        2.2393,
        2.31015,
        2.27407,
        2.20183,
        2.2787,
        2.27022,
        2.26064,
        2.28884,
        2.20439,
        2.24601,
        2.33408,
        2.3332,
        2.29136,
        2.31459,
        2.28552,
        2.31318,
        2.19184,
        2.22939,
        2.16273,
        2.2296,
        2.1746,
        2.24514,
        2.27297,
        2.23635,
        2.27552,
        2.29278,
        2.231,
        2.29294,
        2.32231,
        2.31582,
        2.14622,
        2.37,
        2.41231,
        2.27362,
        2.19717,
        2.21749,
        2.17055,
        2.22642,
        2.18015,
        2.22754,
        2.20748,
        2.17625,
        2.26273,
        2.32185,
        2.17534,
        2.31735,
        2.30378,
        2.22068,
        2.24689,
        2.27309,
        2.30517,
        2.34939,
        2.32916,
        2.34472,
        2.25693,
        2.43718,
        2.40683,
        2.10108,
        2.27036,
        2.32704,
        2.23338,
        2.36091,
        2.28878,
        2.17918,
        2.18657,
        2.27295,
        2.18864,
        2.27309,
        2.22274,
        2.1106,
        2.12333,
        2.17341,
        2.18578,
        2.21548,
        2.26351,
        2.16188,
        2.2528,
        2.2907,
        2.30344,
        2.29571,
        2.25331,
        2.26834,
        2.33087,
        2.14814,
        2.24395,
        2.2953,
        2.20768,
        2.28202,
        2.27949,
        2.29947,
        2.32034,
        2.2707,
        2.21011,
        2.2435,
        2.21587,
        2.28953,
        2.32533,
        2.23171,
        2.30234,
        2.2198,
        2.16578,
        2.26326,
        2.30546,
        2.23146,
        2.2722,
        2.19246,
        2.15744,
        2.18331,
        2.30541,
        2.20504,
        2.13235,
        2.22658,
        2.37753,
        2.35146,
        2.31278,
        2.34074,
        2.32279,
        2.27057,
        2.31766,
        2.12376,
        2.07433,
        2.25835,
        2.3335,
        2.2202,
        2.24077,
        2.05584,
        2.24329,
        2.15134,
        2.16021,
        2.19927,
        2.20723,
        2.27962,
        2.22617,
        2.27112,
        2.34471,
        2.40816,
        2.30923,
        2.31466,
        2.29596,
        2.28539,
        2.13778,
        2.12582,
        2.18446,
        2.26358,
        2.15333,
        2.24484,
        2.18871,
        2.19347,
        2.16536,
        2.21902,
        2.25644,
        2.15307,
        2.18295,
        2.19796,
        2.2555,
        2.24197,
        2.21616,
        2.12132,
        2.12155,
        2.15021,
        2.26805,
        2.20342,
        2.15759,
        2.20987,
        2.33364,
        2.29891,
        2.08095,
        2.29327,
        2.32657,
        2.25651,
        2.28459,
        2.1361,
        2.31411,
        2.26419,
        2.24968,
        2.22949,
        2.25444,
        2.22865,
        2.27559,
        2.35195,
        2.34771,
        2.33711,
        2.28104,
        2.25015,
        2.17785,
        2.29488,
        2.315,
        2.18594,
        2.31394,
        2.27544,
        2.08593,
        2.09796,
        2.20721,
        2.18538,
        2.06161,
        2.26084,
        2.1521,
        2.22394,
        2.22491,
        2.36731,
        2.33493,
        2.14833,
        2.27157,
        2.28179,
        2.16279,
        2.22571,
        2.30381,
        2.27618,
        2.26401,
        2.43263,
        2.34104,
        2.35548,
        2.37902,
        2.29116,
        2.12494,
        2.3424,
        2.16917,
        2.26692,
        2.16335,
        2.23813,
        2.51499,
        2.19306,
        2.2215,
        2.35833,
        2.22649,
        2.11614,
        2.25581,
        2.53399,
        2.28032,
        2.23433,
        2.26059,
        2.42519,
        2.35183,
        2.11718,
        2.35859,
        2.41193,
        2.26727,
        2.29212,
        2.16578,
        2.25618,
        2.22068,
        2.18392,
        2.16944,
        2.46947,
        2.35101,
        1.99727,
        2.1425,
        2.20693,
        2.24558,
        2.20188,
        2.27395,
        2.31806,
        2.44972,
        2.34273,
        2.16649,
        2.26893,
        2.2273,
        2.29718,
        2.2982,
        2.03239,
        2.09179,
        2.47289,
        2.43055,
        2.28715,
        2.22671,
        2.56382,
        2.40185,
        2.39904,
        2.09753,
        2.22908,
        2.61393,
        2.37789,
        2.22342,
        2.27448,
        2.10334,
        2.12822,
        2.01111,
        2.05045,
        1.9926,
        2.09706,
        2.20895,
        2.04128,
        1.82737,
        2.04973,
        2.2638,
        2.11934,
        2.18556,
        2.64382,
        2.36792,
        2.652,
        1.86057,
        2.09033,
        2.77469,
        2.23423,
        2.13194,
        2.07356,
        null,
        2.70808,
        2.59277,
        2.29953,
        2.27342,
        2.19401,
        2.18965,
        2.23195,
        2.28538,
        2.33164,
        2.01976,
        2.19939,
        2.19547,
        2.16459,
        2.03819,
        2.25436,
        2.32155,
        2.27744,
        2.19441,
        2.18174,
        2.29414,
        2.16398,
        2.21008,
        2.12146,
        2.23831,
        2.21327,
        2.3466,
        2.3746,
        2.23637,
        2.23805,
        2.1053,
        2.17823,
        2.10748,
        2.25134,
        2.20239,
        2.21906,
        2.33417,
        2.11014,
        2.23219,
        2.16087,
        1.99291,
        2.14112,
        2.5816,
        2.4393,
        2.31099,
        2.37997,
        2.06029,
        2.07126,
        2.14611,
        2.12681,
        2.09628,
        2.15332,
        2.03849,
        2.27444,
        2.14333,
        2.05671,
        2.13434,
        2.17161,
        2.15468,
        2.15092,
        2.11357,
        2.22375,
        2.19782,
        2.22673,
        2.09511,
        2.23272,
        2.08692,
        2.28269,
        2.11122,
        2.11256,
        2.20998,
        2.23699,
        2.24717,
        2.02239,
        2.21871,
        2.24623,
        2.20832,
        1.99939,
        2.17849,
        2.18915,
        2.23361,
        2.2079,
        2.15625,
        2.18775,
        2.28089,
        2.17595,
        2.1235,
        2.29865,
        2.22259,
        2.14689,
        2.08334,
        2.06522,
        2.17231,
        2.34696,
        2.26819,
        2.15674,
        2.22969,
        2.24202,
        2.24979,
        2.23999,
        2.18104,
        2.25044,
        2.25698,
        2.22923,
        2.16737,
        2.12369,
        2.07507,
        2.21812,
        2.22107,
        2.13605,
        2.11241,
        2.11994,
        2.07011,
        2.23346,
        2.25536,
        2.21853,
        2.14138,
        2.10521,
        2.18198,
        2.13198,
        2.11204,
        2.2735,
        2.12192,
        2.20107,
        2.2012,
        2.19645,
        2.23472,
        2.2065,
        2.25098,
        2.18647,
        2.10378,
        2.11136,
        2.15453,
        2.19281,
        2.25929,
        2.21572,
        2.21843,
        2.22037,
        2.15676,
        2.20259,
        2.34292,
        2.31555,
        2.21833,
        2.17389,
        2.21917,
        2.19507,
        2.20412,
        2.20075,
        2.23909,
        2.21713,
        2.26488,
        2.26581,
        2.26719,
        2.22747,
        2.31807,
        2.322,
        2.24789,
        2.35217,
        2.20421,
        2.19021,
        2.20324,
        2.15522,
        2.19003,
        2.11432,
        2.23726,
        2.24166,
        2.14122,
        2.25855,
        2.23225,
        2.11877,
        2.15789,
        2.17703,
        2.12987,
        2.20953,
        2.20237,
        2.24241,
        2.14249,
        2.25864,
        2.20269,
        2.27658,
        2.24717,
        2.14528,
        2.24741,
        2.285,
        2.21697,
        2.27862,
        2.37889,
        2.44404,
        2.26907,
        2.27004,
        2.2857,
        2.19072,
        2.19883,
        2.24233,
        2.26952,
        2.30702,
        2.41629,
        2.24486,
        2.1516,
        2.16888,
        2.01403,
        2.12781,
        2.19377,
        2.24657,
        2.19729,
        2.24731,
        2.19845,
        2.06838,
        2.17363,
        2.07253,
        2.24614,
        2.21478,
        2.22188,
        2.22257,
        2.19069,
        2.16886,
        2.34006,
        2.27964,
        2.36982,
        2.39307,
        2.3399,
        2.33654,
        2.25057,
        2.23722,
        2.22296,
        2.12611,
        2.20058,
        2.25857,
        2.27306,
        2.26122,
        2.09608,
        2.2216,
        2.20589,
        2.17962,
        2.24016,
        2.29623,
        2.14799,
        2.14451,
        2.14685,
        2.26549,
        2.15174,
        2.1085,
        2.35318,
        2.22674,
        2.15739,
        2.22741,
        2.23309,
        2.31496,
        2.25758,
        2.18211,
        2.28825,
        2.30359,
        2.35695,
        2.1817,
        2.22075,
        2.28882,
        2.27566,
        2.1962,
        2.27231,
        2.20719,
        2.19027,
        2.31302,
        2.2167,
        2.18093,
        2.16215,
        2.21137,
        2.20368,
        2.23381,
        2.22554,
        2.20795,
        2.19221,
        2.21081,
        2.24956,
        2.20674,
        2.26338,
        2.36291,
        2.32554,
        2.28405,
        2.17226,
        2.21697,
        2.30398,
        2.17263,
        2.18734,
        2.20432,
        2.22106,
        2.17624,
        2.239,
        2.23155,
        2.34024,
        2.28393,
        2.19189,
        2.20431,
        2.157,
        2.26921,
        2.22756,
        2.31264,
        2.28478,
        2.22345,
        2.28872,
        2.22131,
        2.24987,
        2.19488,
        2.14477,
        2.18549,
        2.19262,
        2.19223,
        2.09927,
        2.26122,
        2.20632,
        2.34066,
        2.33677,
        2.15693,
        2.11907,
        2.11809,
        2.31908,
        2.23856,
        2.23973,
        2.27081,
        2.21074,
        2.13519,
        2.22293,
        2.2575,
        2.27119,
        2.25141,
        2.10078,
        2.06598,
        2.18198,
        2.27122,
        2.17578,
        2.17465,
        2.24126,
        2.1987,
        2.28808,
        2.24266,
        2.11356,
        2.07045,
        2.15968,
        2.20486,
        2.25259,
        2.21329,
        2.16118,
        2.14468,
        2.1195,
        2.22452,
        2.23143,
        2.07236,
        2.13449,
        2.29318,
        2.11189,
        2.07003,
        2.30379,
        2.19085,
        2.19061,
        2.29334,
        2.21246,
        2.19329,
        2.24252,
        2.28791,
        2.14701,
        2.17279,
        2.255,
        2.29156,
        2.2059,
        2.13107,
        2.26769,
        2.20911,
        2.19398,
        2.25148,
        2.20434,
        2.29908,
        2.26818,
        2.05928,
        2.17457,
        2.14869,
        2.16693,
        2.10718,
        2.24495,
        2.21078,
        2.13344,
        2.1928,
        2.31909,
        2.21781,
        2.20993,
        2.24172,
        2.3398,
        2.28109,
        2.17593,
        2.21305,
        2.14169,
        2.22425,
        2.17732,
        2.15314,
        2.25883,
        2.26035,
        2.09932,
        2.2541,
        2.20811,
        2.30232,
        2.07718,
        2.2126,
        2.24597,
        2.23919,
        2.25895,
        2.26118,
        2.37479,
        2.23625,
        2.42054,
        2.42609,
        2.30965,
        2.25829,
        2.32623,
        2.17247,
        2.2315,
        2.26913,
        2.35658,
        2.24532,
        2.22088,
        2.11069,
        2.22799,
        2.26927,
        2.18056,
        2.29657,
        2.26824,
        2.26834,
        2.29463,
        2.2932,
        2.19264,
        2.28861,
        2.293,
        2.37214,
        2.21208,
        2.19641,
        2.25349,
        2.30603,
        2.30426,
        2.20115,
        2.37236,
        2.18359,
        2.22487,
        2.29952,
        2.21061,
        2.10327,
        2.2135,
        2.23215,
        2.18004,
        2.27541,
        2.22221,
        2.17479,
        2.27904,
        2.29872,
        2.12793,
        2.34333,
        2.28016,
        2.16968,
        2.11951,
        2.24265,
        2.30362,
        2.2917,
        2.21341,
        2.32118,
        2.39084,
        2.36103,
        2.35522,
        2.22255,
        2.30394,
        2.3769,
        2.34619,
        2.25086,
        2.15764,
        2.29957,
        2.34007,
        2.2752,
        2.301,
        2.26388,
        2.18624,
        2.24703,
        2.26039,
        2.30126,
        2.27832,
        2.1916,
        2.29915,
        2.20678,
        2.32962,
        2.26639,
        2.24851,
        2.11663,
        2.29741,
        2.25249,
        2.14376,
        2.05203,
        2.14981,
        2.18564,
        2.38931,
        2.19332,
        2.21917,
        2.13261,
        2.14796,
        2.22485,
        2.31181,
        2.22881,
        2.3608,
        2.20914,
        2.18509,
        2.18928,
        2.29288,
        2.13513,
        2.26999,
        2.25908,
        2.309,
        2.33173,
        2.3172,
        2.26726,
        2.23316,
        2.26513,
        2.15985,
        2.23879,
        2.29598,
        2.29425,
        2.24606,
        2.27503,
        2.1915,
        2.12507,
        2.17103,
        2.20497,
        2.31213,
        2.39423,
        2.34678,
        2.41166,
        2.33818,
        2.29106,
        2.27832,
        2.35827,
        2.16119,
        2.15283,
        2.33289,
        2.25987,
        2.22353,
        2.3517,
        2.29789,
        2.39461,
        2.38365,
        2.35151,
        2.27857,
        2.2944,
        2.22988,
        2.26031,
        2.34334,
        2.31208,
        2.39157,
        2.23597,
        2.24305,
        2.36894,
        2.323,
        2.35456,
        2.27969,
        2.05031,
        2.19742,
        2.26974,
        2.42146,
        2.22949,
        2.36045,
        2.30898,
        2.24988,
        2.29324,
        2.05835,
        2.15966,
        2.25204,
        2.3322,
        2.31339,
        2.25017,
        2.34035,
        2.33372,
        2.23749,
        2.25771,
        2.35134,
        2.26475,
        2.04114,
        2.21353,
        2.14909,
        2.12976,
        2.07664,
        2.2725,
        2.40305,
        2.38075,
        2.24467,
        2.27434,
        2.29241,
        2.3467,
        2.39148,
        2.25386,
        2.24611,
        2.22199,
        2.22842,
        2.21996,
        2.16875,
        2.2743,
        2.3062,
        2.21618,
        2.45539,
        2.15922,
        2.19638,
        2.31515,
        1.89838,
        2.00677,
        2.03007,
        2.16251,
        2.4085,
        2.63069,
        2.40962,
        2.17121,
        2.70606,
        2.55724,
        2.36548,
        2.4428,
        2.31912,
        2.46975,
        2.28078,
        2.29912,
        2.26372,
        2.21908,
        2.29932,
        2.21949,
        2.26706,
        2.54113,
        2.40973,
        2.31535,
        2.20525,
        2.36276,
        2.25329,
        2.28418,
        2.26716,
        2.17874,
        2.05856,
        2.28411,
        2.22955,
        2.23355,
        2.22049,
        2.27666,
        2.39863,
        2.24977,
        2.28521,
        2.34749,
        2.19955,
        2.13502,
        2.46057,
        2.36478,
        2.37536,
        2.25438,
        2.21935,
        2.14734,
        2.14066,
        2.19888,
        2.1882,
        2.16733,
        2.22375,
        2.18289,
        2.13422,
        2.38114,
        2.22332,
        2.28295,
        2.35242,
        2.21601,
        2.2998,
        2.29626,
        2.22008,
        2.25738,
        2.20352,
        2.19315,
        2.16325,
        2.2649,
        2.13321,
        2.16798,
        2.15926,
        2.21817,
        2.26361,
        2.22789,
        2.30266,
        2.28631,
        2.03056,
        2.19124,
        2.1738,
        2.14385,
        2.33947,
        2.33546,
        2.25494,
        2.19419,
        2.20251,
        2.50735,
        2.30909,
        2.07347,
        2.16721,
        2.14305,
        2.02799,
        2.21104,
        2.30827,
        2.22651,
        2.23929,
        2.26997,
        2.24179,
        2.25315,
        1.93656,
        2.11604,
        2.2872,
        2.36138,
        2.31434,
        2.10445,
        2.01974,
        2.34932,
        2.20867,
        2.14124,
        2.27267,
        2.13573,
        1.97804,
        1.99532,
        2.15399,
        2.40318,
        2.18137,
        2.20703,
        2.19974,
        2.12801,
        2.1859,
        2.21594,
        2.12507,
        2.1707,
        2.20719,
        2.24363,
        2.20138,
        2.07089,
        2.23187,
        2.07338,
        2.12817,
        2.13291,
        2.42519,
        2.31659,
        2.29122,
        2.30653,
        2.23655,
        2.18505,
        2.22474,
        2.26114,
        2.27999,
        2.22944,
        2.17382,
        2.18312,
        null,
        2.7566,
        2.65649,
        2.49612,
        2.96923,
        2.87121,
        3.1551,
        2.48918,
        2.46934,
        3.07498,
        2.2394,
        2.33651,
        2.34798,
        2.14168,
        2.32934,
        2.13328,
        2.5587,
        2.79544,
        2.78974,
        2.38608,
        2.15587,
        2.493,
        3.04772,
        2.1156,
        2.26191,
        2.2923,
        2.20541,
        2.55385,
        2.66342,
        2.6511,
        2.45764,
        2.29076,
        2.21962,
        2.75457,
        2.11327,
        3.09999,
        2.39352,
        2.34454,
        2.23053,
        2.49018,
        2.51198,
        2.36862,
        2.41745,
        2.66654,
        2.18583,
        2.46118,
        2.28634,
        2.3421,
        2.30163,
        2.40425,
        2.16336,
        2.72114,
        2.61172,
        2.53252,
        2.47325,
        2.51703,
        2.34286,
        2.3457,
        2.09097,
        2.34039,
        2.66996,
        2.34914,
        2.56503,
        2.60201,
        2.21854,
        2.12291,
        2.52574,
        3.11092,
        2.50186,
        2.81429,
        2.40628,
        2.12732,
        2.27404,
        2.07541,
        2.15748,
        2.44105,
        2.49399,
        2.56084,
        2.31622,
        2.21039,
        2.52612,
        2.36285,
        2.81668,
        2.52463,
        2.71694,
        2.37566,
        2.51546,
        2.78692,
        2.44969,
        2.36101,
        2.43384,
        2.32176,
        1.91519,
        2.30591,
        2.6789,
        2.77566,
        2.79224,
        2.25367,
        2.49512,
        2.47707,
        2.79236,
        2.59083,
        2.30027,
        2.47433,
        2.15139,
        2.29282,
        2.17304,
        2.44399,
        2.4447,
        2.84001,
        2.34845,
        2.42761,
        2.33845,
        2.48983,
        2.33998,
        2.55781,
        2.19005,
        2.73759,
        2.57268,
        2.32249,
        2.52777,
        2.28205,
        2.33151,
        2.79262,
        2.54191,
        2.68097,
        2.3761,
        2.3239,
        2.38647,
        2.32273,
        2.61854,
        1.89737,
        2.2752,
        2.09703,
        2.53772,
        2.18892,
        2.22545,
        2.23622,
        2.48477,
        2.89642,
        2.31995,
        2.74419,
        2.40292,
        2.38728,
        2.60426,
        2.35696,
        2.38449,
        2.35728,
        2.46494,
        1.85989,
        2.43441,
        2.09838,
        1.93002,
        2.76691,
        2.22541,
        2.28333,
        2.49784,
        2.61033,
        3.46388,
        2.17125,
        2.30693,
        2.24574,
        2.45789,
        2.33054,
        2.70513,
        2.54143,
        2.49919,
        2.3955,
        2.64786,
        2.29176,
        2.29182,
        2.45776,
        2.95733,
        3.10511,
        2.8744,
        2.47576,
        3.02444,
        2.8316,
        2.2975,
        2.52899,
        2.86531,
        2.65894,
        3.13745,
        2.71241,
        2.62078,
        2.80096,
        3.77419,
        3.39155,
        null,
        2.80546,
        2.58997,
        2.57141,
        2.61226,
        2.40861,
        2.53697,
        2.31306,
        2.56048,
        2.46961,
        2.23252,
        2.50848,
        2.28386,
        2.21415,
        2.23524,
        2.48249,
        2.79067,
        2.42244,
        2.49854,
        2.74913,
        2.42141,
        2.4617,
        2.71421,
        2.69743,
        2.03189,
        2.2656,
        2.4065,
        2.78595,
        2.5295,
        2.31207,
        2.62749,
        2.36563,
        2.15799,
        2.34496,
        2.29415,
        1.87939,
        2.06097,
        2.40065,
        2.5528,
        2.65221,
        2.7054,
        2.84056,
        2.32309,
        2.60023,
        2.27939,
        2.35566,
        2.37569,
        2.50889,
        2.41593,
        2.72877,
        2.25071,
        2.41636,
        2.50162,
        2.63265,
        2.59601,
        2.54414,
        2.43357,
        2.43008,
        2.49989,
        2.21309,
        2.0695,
        2.79326,
        2.68577,
        2.45487,
        2.06167,
        2.32231,
        2.65136,
        2.49961,
        2.32466,
        2.32688,
        2.47113,
        2.45676,
        2.752,
        2.37729,
        2.52029,
        2.87046,
        2.64165,
        2.85051,
        2.60202,
        2.29943,
        2.4709,
        2.38396,
        2.20736,
        2.8244,
        2.59416,
        2.50576,
        2.49286,
        2.42535,
        2.0905,
        2.46308,
        2.80931,
        2.58803,
        2.48178,
        2.46205,
        2.85934,
        2.78396,
        2.77288,
        2.73858,
        2.77961,
        2.5063,
        2.57451,
        2.73346,
        2.45393,
        2.5465,
        2.6674,
        2.56027,
        2.47852,
        2.6138,
        2.64972,
        2.37784,
        1.97125,
        3.13272,
        2.55613,
        2.0649,
        3.19953,
        2.81602,
        3.02672,
        2.66018,
        2.44885,
        2.61218,
        2.97844,
        2.84274,
        2.63416,
        2.65142,
        2.51087,
        2.14055,
        2.20259,
        2.2699,
        2.3417,
        2.37986,
        2.6848,
        2.68679,
        2.48635,
        2.54485,
        2.60121,
        2.55044,
        2.56421,
        2.49531,
        2.64226,
        2.49306,
        2.60313,
        2.477,
        2.55287,
        2.637,
        2.66683,
        2.13574,
        2.20259,
        2.63884,
        2.57866,
        2.67215,
        2.75715,
        2.68393,
        2.46154,
        3.24834,
        2.35936,
        2.35862,
        2.95088,
        2.98976,
        2.49591,
        2.46767,
        2.39982,
        2.24451,
        2.58162,
        2.58029,
        2.58147,
        2.37805,
        2.576,
        2.70518,
        2.45646,
        2.66394,
        2.81104,
        2.72624,
        2.55516,
        2.52686,
        2.64762,
        2.58605,
        2.71788,
        2.6577,
        2.49879,
        2.53487,
        2.34278,
        2.35832,
        2.70256,
        2.72327,
        2.60953,
        2.47248,
        2.43092,
        2.39598,
        2.36962,
        2.46681,
        2.33824,
        2.31613,
        2.27685,
        2.34763,
        2.40093,
        2.57342,
        2.59317,
        2.45779,
        2.29511,
        2.56825,
        2.60972,
        2.55104,
        2.60969,
        2.68281,
        2.83099,
        2.69838,
        2.6284,
        2.71641,
        2.36647,
        2.33139,
        2.51426,
        2.59642,
        2.3453,
        2.37906,
        2.4302,
        2.35813,
        2.53846,
        2.58192,
        2.44024,
        2.30857,
        2.62569,
        2.7733,
        2.45693,
        2.63879,
        2.59271,
        3.06492,
        2.37551,
        2.52186,
        2.38726,
        2.50004,
        2.28099,
        2.21463,
        2.50691,
        2.55674,
        2.71638,
        2.8063,
        2.62653,
        2.53723,
        2.1809,
        2.51179,
        2.61141,
        2.44749,
        2.51463,
        2.8903,
        2.48567,
        2.4084,
        2.38734,
        2.29821,
        2.46472,
        2.55972,
        2.5233,
        2.42332,
        2.4283,
        2.56699,
        2.68502,
        2.52432,
        2.63243,
        2.46526,
        2.2085,
        2.39517,
        2.3193,
        2.38672,
        2.44827,
        2.42367,
        2.18506,
        2.22163,
        2.36783,
        2.17382,
        2.11484,
        2.46556,
        2.49727,
        2.16046,
        2.26734,
        2.42168,
        2.53396,
        2.50279,
        2.40777,
        2.50878,
        2.67516,
        2.76745,
        2.64206,
        2.48238,
        2.5042,
        2.45431,
        2.60693,
        2.44764,
        2.6744,
        2.99605,
        3.03819,
        2.98006,
        2.49549,
        2.98506,
        2.60181,
        2.69929,
        2.75749,
        2.64795,
        2.57704,
        2.49182,
        2.2723,
        2.22745,
        2.46221,
        2.56537,
        2.24713,
        2.51731,
        2.41239,
        2.14626,
        2.27972,
        2.54214,
        2.36471,
        2.48618,
        2.53863,
        2.52783,
        2.6261,
        2.55173,
        2.4331,
        2.49231,
        2.7158,
        2.70456,
        2.47723,
        2.492,
        2.48766,
        2.18685,
        2.41305,
        2.39104,
        2.24594,
        2.39023,
        2.41056,
        2.4467,
        2.57093,
        2.55501,
        2.46174,
        2.4396,
        2.60101,
        2.38472,
        2.4099,
        2.4993,
        2.42317,
        2.49598,
        2.56304,
        2.40199,
        2.31583,
        2.22472,
        2.26836,
        2.46226,
        2.65438,
        2.49768,
        2.4808,
        2.51174,
        2.44801,
        2.34173,
        2.48017,
        2.38924,
        2.36425,
        2.68773,
        2.69522,
        2.6459,
        2.505,
        2.42851,
        2.54477,
        2.86214,
        2.44246,
        2.40047,
        2.60171,
        2.50428,
        2.48411,
        2.41752,
        2.47564,
        2.38572,
        2.69945,
        2.77856,
        2.47014,
        2.50006,
        2.6894,
        2.57126,
        2.26341,
        2.49774,
        2.47872,
        2.37157,
        2.34522,
        2.46262,
        2.36747,
        2.50776,
        2.33649,
        2.3741,
        2.58428,
        2.4319,
        2.53512,
        2.56802,
        2.35073,
        2.397,
        2.29966,
        2.43139,
        2.56461,
        2.49105,
        2.51193,
        2.45839,
        2.49828,
        2.32803,
        2.42119,
        2.40929,
        2.42929,
        2.53608,
        2.49519,
        2.36773,
        2.3691,
        2.4266,
        2.24563,
        2.3481,
        2.4268,
        2.57292,
        2.36214,
        2.32025,
        2.30574,
        2.3854,
        2.44168,
        2.48471,
        2.43367,
        2.26392,
        2.59454,
        2.54005,
        2.36386,
        2.2393,
        2.47779,
        2.25838,
        2.43849,
        2.30248,
        2.544,
        2.48312,
        2.31019,
        2.41073,
        2.32517,
        2.38648,
        2.37274,
        2.55221,
        2.42846,
        2.41385,
        2.37631,
        2.49428,
        2.41988,
        2.59128,
        2.44686,
        2.24239,
        2.32336,
        2.4968,
        2.42613,
        2.2462,
        2.39378,
        2.25436,
        2.17762,
        2.19979,
        2.41791,
        2.38773,
        2.63552,
        2.90525,
        2.57549,
        2.55452,
        2.55395,
        2.42658,
        2.4035,
        2.53692,
        2.56562,
        2.51959,
        2.5525,
        2.64903,
        2.43937,
        2.06752,
        2.07997,
        2.36341,
        2.55199,
        2.52882,
        2.73758,
        2.45419,
        2.46023,
        2.54409,
        2.29607,
        2.29086,
        2.36156,
        2.23282,
        2.31742,
        2.21352,
        2.27181,
        2.41635,
        2.59326,
        2.3457,
        2.52379,
        2.34317,
        2.515,
        2.26438,
        2.49288,
        2.32985,
        2.61624,
        2.43873,
        2.42331,
        2.58694,
        2.44867,
        2.53983,
        2.40929,
        2.57092,
        2.46559,
        2.50646,
        2.73426,
        2.34401,
        2.41472,
        2.53014,
        2.44704,
        2.4615,
        2.50634,
        2.37196,
        2.40415,
        2.43007,
        2.30564,
        2.33043,
        2.32909,
        2.4801,
        2.68401,
        2.53955,
        2.39374,
        2.46236,
        2.27044,
        2.29519,
        2.14095,
        2.45727,
        2.46597,
        2.60494,
        2.41456,
        2.28117,
        2.32234,
        2.54888,
        2.46457,
        2.58023,
        2.4797,
        2.46327,
        2.37586,
        2.63398,
        2.14806,
        2.33146,
        2.25342,
        2.34015,
        2.23951,
        2.30194,
        2.31138,
        2.53335,
        2.73934,
        2.43523,
        2.35031,
        2.57737,
        3.00466,
        2.4243,
        2.46868,
        2.54135,
        2.46058,
        2.42833,
        2.63753,
        2.45191,
        2.39284,
        2.45643,
        2.30669,
        2.18698,
        2.08723,
        2.15695,
        2.46547,
        2.65217,
        2.33507,
        2.28493,
        2.46333,
        2.27609,
        2.52141,
        2.54013,
        2.39779,
        2.31351,
        2.49168,
        2.54604,
        2.35737,
        2.15397,
        2.05866,
        2.33936,
        2.72037,
        2.31219,
        2.17005,
        2.15865,
        2.39014,
        2.5234,
        2.54763,
        2.44368,
        2.70892,
        2.4964,
        2.50088,
        2.42561,
        2.6492,
        2.73089,
        2.90317,
        2.59838,
        2.59492,
        2.14499,
        2.33879,
        2.58034,
        2.17069,
        2.46096,
        2.50896,
        2.38864,
        2.33032,
        1.99608,
        2.30794,
        2.47555,
        2.60272,
        2.66501,
        2.5987,
        2.41895,
        2.57571,
        2.62597,
        2.70775,
        2.49716,
        2.63437,
        2.96851,
        2.60994,
        2.41625,
        2.6488,
        2.66055,
        2.27643,
        2.39308,
        2.06921,
        2.6568,
        2.5961,
        2.19316,
        2.20576,
        2.08704,
        2.16739,
        2.05482,
        2.23844,
        2.80343,
        2.87672,
        2.92103,
        2.61299,
        2.53362,
        2.56517,
        2.25753,
        2.48057,
        2.30905,
        2.68497,
        2.46704,
        2.371,
        2.43697,
        2.35455,
        3.0393,
        2.53253,
        2.56889,
        2.773,
        2.89159,
        2.74803,
        3.35464,
        2.7894,
        2.71971,
        null,
        2.86267,
        2.85807,
        3.18356,
        2.83712
    ],
    "flux_error": [
        0.236315,
        0.223169,
        0.211722,
        0.201657,
        0.191036,
        0.185193,
        0.182339,
        0.176553,
        0.171582,
        0.169313,
        0.167988,
        0.16817,
        0.168933,
        0.171851,
        0.172332,
        0.169693,
        0.177345,
        0.180713,
        0.18459,
        0.190448,
        0.201415,
        0.218389,
        0.246592,
        0.286846,
        0.347746,
        0.338856,
        0.309313,
        0.308813,
        0.304478,
        0.304223,
        0.310662,
        0.315522,
        0.319301,
        0.325829,
        0.343247,
        0.366619,
        0.379966,
        0.320569,
        0.300981,
        0.268469,
        0.262024,
        0.248137,
        0.233372,
        0.240733,
        0.24587,
        0.230145,
        0.235916,
        0.228895,
        0.214194,
        0.211546,
        0.250138,
        0.256296,
        0.23868,
        0.24337,
        0.265445,
        0.286515,
        0.37045,
        0.292869,
        0.263329,
        0.236265,
        0.217117,
        0.199852,
        0.193138,
        0.183533,
        0.181508,
        0.186135,
        0.190572,
        0.193921,
        0.199971,
        0.214234,
        0.231424,
        0.260602,
        0.298829,
        0.314745,
        0.370988,
        0.303558,
        0.311512,
        0.292953,
        0.298537,
        0.323621,
        0.342563,
        0.347696,
        0.313408,
        0.301675,
        0.283689,
        0.273803,
        0.2729,
        0.284274,
        0.289775,
        0.320275,
        0.36505,
        0.338123,
        0.269037,
        0.226561,
        0.206472,
        0.223888,
        0.203132,
        0.159759,
        0.155573,
        0.149791,
        0.147655,
        0.148278,
        0.142379,
        0.139625,
        0.140566,
        0.13731,
        0.134878,
        0.133271,
        0.128443,
        0.126308,
        0.124793,
        0.126313,
        0.129294,
        0.131145,
        0.133175,
        0.135014,
        0.137101,
        0.139261,
        0.149297,
        0.155872,
        0.167381,
        0.180983,
        0.181954,
        0.192573,
        0.21186,
        0.233217,
        0.262053,
        0.29752,
        0.34106,
        0.386874,
        0.429131,
        0.395022,
        0.326416,
        0.291345,
        0.253273,
        0.211634,
        0.19388,
        0.184629,
        0.171273,
        0.159326,
        0.15545,
        0.151827,
        0.146319,
        0.143659,
        0.140336,
        0.136104,
        0.13053,
        0.126167,
        0.1239,
        0.120702,
        0.11868,
        0.116182,
        0.115077,
        0.121027,
        0.120432,
        0.111237,
        0.110021,
        0.109992,
        0.112023,
        0.11319,
        0.114366,
        0.114682,
        0.116637,
        0.116658,
        0.118184,
        0.124831,
        0.135576,
        0.144096,
        0.156549,
        0.168885,
        0.177547,
        0.178395,
        0.176152,
        0.171939,
        0.174044,
        0.17431,
        0.179142,
        0.186023,
        0.191855,
        0.200472,
        0.216355,
        0.234384,
        0.252197,
        0.293009,
        0.329927,
        0.398258,
        0.323542,
        0.281671,
        0.244137,
        0.222654,
        0.212252,
        0.207888,
        0.193678,
        0.183218,
        0.170903,
        0.161038,
        0.150045,
        0.143818,
        0.138928,
        0.134599,
        0.132628,
        0.130825,
        0.133891,
        0.13566,
        0.139875,
        0.147937,
        0.155246,
        0.154661,
        0.177105,
        0.167005,
        0.129385,
        0.121804,
        0.120863,
        0.117179,
        0.115439,
        0.114793,
        0.117422,
        0.119847,
        0.121336,
        0.124108,
        0.125694,
        0.126197,
        0.126242,
        0.123949,
        0.123704,
        0.126279,
        0.125847,
        0.126281,
        0.129011,
        0.161213,
        0.167329,
        0.140191,
        0.142619,
        0.151391,
        0.163213,
        0.173932,
        0.18645,
        0.197573,
        0.210168,
        0.220169,
        0.229282,
        0.240718,
        0.26632,
        0.289308,
        0.329179,
        0.373609,
        0.388365,
        0.319261,
        0.281338,
        0.243256,
        0.207256,
        0.20117,
        0.191489,
        0.175042,
        0.16874,
        0.161002,
        0.147132,
        0.137821,
        0.136044,
        0.129961,
        0.12727,
        0.122008,
        0.120057,
        0.11879,
        0.116671,
        0.112976,
        0.112856,
        0.11269,
        0.114047,
        0.109702,
        0.110219,
        0.11052,
        0.114766,
        0.114956,
        0.107868,
        0.105008,
        0.105245,
        0.106853,
        0.105804,
        0.107451,
        0.110778,
        0.11324,
        0.115647,
        0.118903,
        0.121041,
        0.121478,
        0.122129,
        0.128734,
        0.134542,
        0.136137,
        0.144315,
        0.170021,
        0.17492,
        0.15761,
        0.162405,
        0.165838,
        0.171461,
        0.179144,
        0.199396,
        0.210572,
        0.225428,
        0.247244,
        0.278688,
        0.309833,
        0.48087,
        0.437168,
        0.375852,
        0.317317,
        0.275787,
        0.257109,
        0.235624,
        0.209417,
        0.185228,
        0.173362,
        0.163891,
        0.152057,
        0.140589,
        0.135053,
        0.1323,
        0.125919,
        0.116679,
        0.113792,
        0.109737,
        0.105587,
        0.104381,
        0.103303,
        0.0981575,
        0.0966743,
        0.0961255,
        0.0954683,
        0.0928693,
        0.0922791,
        0.101506,
        0.0999382,
        0.0899761,
        0.0903467,
        0.0913174,
        0.0915579,
        0.09335,
        0.0954823,
        0.0950013,
        0.0939739,
        0.0964668,
        0.0989727,
        0.101267,
        0.103605,
        0.103721,
        0.104642,
        0.106132,
        0.108379,
        0.109918,
        0.11204,
        0.133602,
        0.142672,
        0.132481,
        0.139828,
        0.151284,
        0.161289,
        0.174994,
        0.18958,
        0.202577,
        0.222504,
        0.246537,
        0.335397,
        0.375852,
        0.391613,
        0.324659,
        0.283644,
        0.249311,
        0.224057,
        0.206893,
        0.185937,
        0.168325,
        0.174277,
        0.163986,
        0.142219,
        0.139599,
        0.130637,
        0.126776,
        0.118334,
        0.115351,
        0.111803,
        0.109529,
        0.10813,
        0.103776,
        0.101354,
        0.1013,
        0.0991577,
        0.0988142,
        0.0978878,
        0.102576,
        0.10429,
        0.105518,
        0.105741,
        0.10765,
        0.104663,
        0.103861,
        0.104732,
        0.102657,
        0.0994191,
        0.100379,
        0.102794,
        0.108743,
        0.113816,
        0.117955,
        0.121566,
        0.125141,
        0.127338,
        0.131152,
        0.135265,
        0.147633,
        0.163316,
        0.191393,
        0.218247,
        0.244093,
        0.294636,
        0.29431,
        0.256589,
        0.218659,
        0.199626,
        0.185691,
        0.179612,
        0.176823,
        0.1823,
        0.189148,
        0.198983,
        0.205696,
        0.218217,
        0.243443,
        0.261787,
        0.285631,
        0.338463,
        0.385708,
        0.454474,
        0.42669,
        0.354163,
        0.346345,
        0.325792,
        0.270516,
        0.237696,
        0.223058,
        0.205542,
        0.200374,
        0.202433,
        0.20799,
        0.226137,
        0.250627,
        0.290763,
        0.317988,
        0.345657,
        0.268008,
        0.228309,
        0.198134,
        0.168259,
        0.155197,
        0.142487,
        0.130542,
        0.128367,
        0.124204,
        0.124543,
        0.126224,
        0.127058,
        0.127799,
        0.12997,
        0.131996,
        0.135167,
        0.144812,
        0.156971,
        0.175127,
        0.206264,
        0.267874,
        0.306011,
        0.339533,
        0.341721,
        0.300911,
        0.259412,
        0.221341,
        0.180029,
        0.156687,
        0.143992,
        0.13243,
        0.127228,
        0.119928,
        0.117234,
        0.115326,
        0.11513,
        0.116688,
        0.119284,
        0.119762,
        0.131918,
        0.13553,
        0.134149,
        0.139863,
        0.150572,
        0.173789,
        0.18761,
        0.186792,
        0.200835,
        0.211254,
        0.233583,
        0.25376,
        0.285329,
        0.327739,
        0.377108,
        0.304317,
        0.283714,
        0.24979,
        0.201228,
        0.194339,
        0.175111,
        0.165974,
        0.164835,
        0.154673,
        0.138331,
        0.137996,
        0.140044,
        0.140277,
        0.129378,
        0.12917,
        0.145303,
        0.145936,
        0.126753,
        0.129807,
        0.131968,
        0.141734,
        0.156825,
        0.167826,
        0.190779,
        0.231184,
        0.281971,
        0.305265,
        0.221223,
        0.166746,
        0.143764,
        0.127288,
        0.116399,
        0.128987,
        0.126918,
        0.108715,
        0.107152,
        0.107636,
        0.120545,
        0.117881,
        0.111927,
        0.113363,
        0.115803,
        0.118467,
        0.121976,
        0.12379,
        0.11788,
        0.135208,
        0.142355,
        0.124846,
        0.129969,
        0.132717,
        0.143414,
        0.152324,
        0.161709,
        0.170684,
        0.181027,
        0.199088,
        0.203221,
        0.233266,
        0.260495,
        0.283949,
        0.330083,
        0.298137,
        0.269518,
        0.255131,
        0.237761,
        0.219027,
        0.208097,
        0.198928,
        0.204794,
        0.212111,
        0.217768,
        0.253247,
        0.289415,
        0.305656,
        0.287105,
        0.213906,
        0.173066,
        0.152823,
        0.133924,
        0.124232,
        0.117342,
        0.107498,
        0.102607,
        0.0993357,
        0.0956998,
        0.092323,
        0.0907767,
        0.0897649,
        0.0914731,
        0.0934478,
        0.0952122,
        0.0962488,
        0.108814,
        0.108716,
        0.10061,
        0.0992226,
        0.0974867,
        0.0928492,
        0.0897705,
        0.0891,
        0.0891643,
        0.0883255,
        0.0864095,
        0.0880238,
        0.0899837,
        0.0917591,
        0.0924579,
        0.0939927,
        0.096894,
        0.100383,
        0.118937,
        0.124415,
        0.115375,
        0.120646,
        0.127356,
        0.133527,
        0.142352,
        0.149666,
        0.157885,
        0.167798,
        0.210249,
        0.23087,
        0.214694,
        0.239,
        0.263335,
        0.306684,
        0.375142,
        0.435951,
        0.411165,
        0.34336,
        0.279533,
        0.228339,
        0.1966,
        0.173419,
        0.155912,
        0.141242,
        0.133104,
        0.124659,
        0.118022,
        0.115343,
        0.108786,
        0.104907,
        0.106389,
        0.102895,
        0.0941578,
        0.0946788,
        0.0938584,
        0.0933606,
        0.0959473,
        0.096564,
        0.0964377,
        0.0954869,
        0.0948575,
        0.0944217,
        0.106588,
        0.108364,
        0.105011,
        0.113716,
        0.128672,
        0.145864,
        0.175145,
        0.218957,
        0.2762,
        0.333339,
        0.3311,
        0.274653,
        0.213219,
        0.171009,
        0.153364,
        0.140968,
        0.136368,
        0.131594,
        0.110773,
        0.108612,
        0.105776,
        0.105564,
        0.105721,
        0.10593,
        0.107359,
        0.110978,
        0.112851,
        0.117947,
        0.132368,
        0.148659,
        0.159452,
        0.163005,
        0.153389,
        0.165574,
        0.184461,
        0.201959,
        0.216455,
        0.256464,
        0.295773,
        0.342932,
        0.411339,
        0.425325,
        0.33047,
        0.271871,
        0.234461,
        0.203665,
        0.181673,
        0.166816,
        0.15478,
        0.141114,
        0.131725,
        0.121914,
        0.119098,
        0.113407,
        0.109524,
        0.106614,
        0.103468,
        0.10407,
        0.104152,
        0.103472,
        0.106637,
        0.107791,
        0.0967975,
        0.0938007,
        0.091675,
        0.088356,
        0.0864391,
        0.0841007,
        0.0824547,
        0.0812461,
        0.0797353,
        0.0788039,
        0.0759641,
        0.0747087,
        0.0742826,
        0.0737213,
        0.071912,
        0.0716539,
        0.0714374,
        0.0714915,
        0.0727462,
        0.0724019,
        0.0724079,
        0.073566,
        0.0744014,
        0.0752256,
        0.0755821,
        0.0767444,
        0.0764926,
        0.0774899,
        0.0773703,
        0.0769151,
        0.0776184,
        0.0788977,
        0.0793341,
        0.0803952,
        0.0817558,
        0.0846311,
        0.0870207,
        0.0896587,
        0.0926516,
        0.0946686,
        0.100152,
        0.10483,
        0.107092,
        0.114098,
        0.119935,
        0.128579,
        0.13853,
        0.148345,
        0.159858,
        0.17363,
        0.195818,
        0.221806,
        0.259367,
        0.286682,
        0.31333,
        0.256056,
        0.222845,
        0.216471,
        0.19932,
        0.183614,
        0.171635,
        0.156613,
        0.147761,
        0.138032,
        0.132114,
        0.127467,
        0.130414,
        0.121491,
        0.106159,
        0.103502,
        0.0961308,
        0.0922647,
        0.0900656,
        0.0859953,
        0.0845246,
        0.0839979,
        0.0821286,
        0.0800902,
        0.0775939,
        0.0773609,
        0.0760817,
        0.0760816,
        0.0738188,
        0.0733353,
        0.0728138,
        0.0737174,
        0.0736079,
        0.0727105,
        0.0716739,
        0.0760569,
        0.0731497,
        0.0700337,
        0.0695532,
        0.0688005,
        0.0693476,
        0.0815512,
        0.0824007,
        0.0712715,
        0.0709221,
        0.0722571,
        0.0713336,
        0.0730697,
        0.0723049,
        0.0732726,
        0.0737492,
        0.0752039,
        0.0773711,
        0.0804318,
        0.0825362,
        0.0828907,
        0.084693,
        0.0864447,
        0.0891331,
        0.0906924,
        0.0934548,
        0.0950969,
        0.0955409,
        0.0992403,
        0.103585,
        0.106395,
        0.112041,
        0.119539,
        0.125947,
        0.139314,
        0.146394,
        0.157658,
        0.17092,
        0.192591,
        0.20593,
        0.254297,
        0.525663,
        0.313217,
        0.280621,
        0.236166,
        0.208365,
        0.184139,
        0.170543,
        0.155033,
        0.140565,
        0.133728,
        0.124833,
        0.118205,
        0.112031,
        0.106852,
        0.103305,
        0.099581,
        0.0955836,
        0.0932313,
        0.0916411,
        0.0913288,
        0.0871194,
        0.0907733,
        0.0900388,
        0.0893524,
        0.0897007,
        0.0966192,
        0.0982339,
        0.0942286,
        0.0969275,
        0.102553,
        0.110329,
        0.1213,
        0.135721,
        0.153126,
        0.170208,
        0.171725,
        0.168498,
        0.153208,
        0.133059,
        0.12208,
        0.110934,
        0.101602,
        0.0979041,
        0.0915175,
        0.0968544,
        0.0975693,
        0.0850027,
        0.0844799,
        0.0843285,
        0.084839,
        0.0875915,
        0.085134,
        0.0860858,
        0.0870018,
        0.0884776,
        0.0873814,
        0.0914874,
        0.0941647,
        0.0949203,
        0.0984435,
        0.100422,
        0.104308,
        0.107093,
        0.111615,
        0.141203,
        0.149408,
        0.139744,
        0.154901,
        0.170966,
        0.196693,
        0.227923,
        0.280659,
        0.359887,
        0.289693,
        0.240632,
        0.232354,
        0.20105,
        0.181053,
        0.169633,
        0.152261,
        0.141434,
        0.141118,
        0.129116,
        0.122197,
        0.11555,
        0.111821,
        0.107871,
        0.106294,
        0.099387,
        0.0961261,
        0.0933596,
        0.0902161,
        0.0887036,
        0.0863146,
        0.0851357,
        0.082328,
        0.0810974,
        0.0797363,
        0.0788601,
        0.0780888,
        0.0775401,
        0.0869354,
        0.087032,
        0.0776766,
        0.0759333,
        0.0747245,
        0.0752069,
        0.0754428,
        0.0749788,
        0.0763517,
        0.0764299,
        0.0786074,
        0.0860719,
        0.0912193,
        0.0791839,
        0.0815963,
        0.0866316,
        0.0833187,
        0.0860753,
        0.087833,
        0.0898512,
        0.0933937,
        0.09696,
        0.0999937,
        0.102761,
        0.106835,
        0.110683,
        0.11263,
        0.116272,
        0.123228,
        0.131454,
        0.145839,
        0.15639,
        0.179805,
        0.213491,
        0.251624,
        0.304722,
        0.411821,
        0.295266,
        0.273967,
        0.242456,
        0.248836,
        0.236723,
        0.246262,
        0.269483,
        0.26741,
        0.294856,
        0.337215,
        0.377639,
        0.349876,
        0.288649,
        0.256288,
        0.219222,
        0.207894,
        0.18105,
        0.162113,
        0.155055,
        0.144808,
        0.139125,
        0.130834,
        0.123096,
        0.117696,
        0.11207,
        0.10835,
        0.105915,
        0.104218,
        0.102404,
        0.100868,
        0.102016,
        0.102785,
        0.106335,
        0.102916,
        0.09879,
        0.10169,
        0.0967974,
        0.092137,
        0.0928977,
        0.0930915,
        0.0929972,
        0.0940003,
        0.0949092,
        0.0942561,
        0.0935513,
        0.0905139,
        0.0899194,
        0.0878361,
        0.0884654,
        0.0881701,
        0.0886952,
        0.0902808,
        0.0930342,
        0.0933055,
        0.0964437,
        0.0994993,
        0.102888,
        0.122283,
        0.130879,
        0.121021,
        0.137088,
        0.151712,
        0.173772,
        0.210503,
        0.245672,
        0.302251,
        0.293753,
        0.242261,
        0.211213,
        0.188642,
        0.167422,
        0.157319,
        0.147208,
        0.142399,
        0.139206,
        0.131883,
        0.135082,
        0.134075,
        0.134762,
        0.140235,
        0.139373,
        0.145769,
        0.150902,
        0.158071,
        0.165655,
        0.183479,
        0.197887,
        0.213919,
        0.24885,
        0.283343,
        0.321616,
        0.371784,
        0.310176,
        0.280218,
        0.235414,
        0.206724,
        0.203516,
        0.189064,
        0.176348,
        0.167878,
        0.161158,
        0.155801,
        0.153997,
        0.142932,
        0.12869,
        0.11648,
        0.116346,
        0.1115,
        0.104515,
        0.103256,
        0.101707,
        0.0979984,
        0.0960136,
        0.0967854,
        0.092894,
        0.0912855,
        0.0904075,
        0.0903461,
        0.0915461,
        0.0934251,
        0.10739,
        0.106828,
        0.0925833,
        0.095875,
        0.0968725,
        0.100844,
        0.106694,
        0.107785,
        0.119466,
        0.12366,
        0.136994,
        0.146161,
        0.167665,
        0.193432,
        0.235098,
        0.293636,
        0.391741,
        0.393618,
        0.318274,
        0.259039,
        0.215923,
        0.181737,
        0.164539,
        0.148372,
        0.135796,
        0.129868,
        0.124667,
        0.11996,
        0.118075,
        0.117009,
        0.119031,
        0.113368,
        0.113883,
        0.11202,
        0.112397,
        0.113236,
        0.111617,
        0.11175,
        0.114726,
        0.118371,
        0.123682,
        0.123859,
        0.132868,
        0.143437,
        0.149079,
        0.148809,
        0.154506,
        0.16447,
        0.167654,
        0.178677,
        0.195603,
        0.205795,
        0.225575,
        0.258188,
        0.284906,
        0.344892,
        0.448007,
        0.35999,
        0.283386,
        0.259831,
        0.240066,
        0.216144,
        0.19333,
        0.182746,
        0.177813,
        0.173917,
        0.163885,
        0.158168,
        0.15787,
        0.155276,
        0.149185,
        0.144927,
        0.138633,
        0.130581,
        0.125415,
        0.124449,
        0.123946,
        0.123866,
        0.1241,
        0.123111,
        0.132471,
        0.144057,
        0.144874,
        0.14024,
        0.164497,
        0.17441,
        0.187028,
        0.216832,
        0.239683,
        0.312902,
        0.404093,
        0.373228,
        0.286531,
        0.233752,
        0.200121,
        0.17394,
        0.150698,
        0.137981,
        0.13035,
        0.121886,
        0.116426,
        0.111939,
        0.107885,
        0.105444,
        0.101818,
        0.102278,
        0.100898,
        0.0989577,
        0.0968867,
        0.0964481,
        0.0982423,
        0.0976819,
        0.0979796,
        0.0988951,
        0.10085,
        0.101866,
        0.10506,
        0.103884,
        0.108869,
        0.108176,
        0.109362,
        0.108517,
        0.10867,
        0.110327,
        0.110661,
        0.113329,
        0.115331,
        0.117931,
        0.121899,
        0.124731,
        0.13297,
        0.137083,
        0.143325,
        0.151654,
        0.171868,
        0.186823,
        0.205768,
        0.228409,
        0.249455,
        0.281203,
        0.300997,
        null,
        0.25866,
        0.236017,
        0.230545,
        0.244446,
        0.265368,
        0.296984,
        0.341879,
        0.263446,
        0.208146,
        0.160241,
        0.134243,
        0.120675,
        0.109445,
        0.0993148,
        0.0904289,
        0.0861373,
        0.0836265,
        0.0801237,
        0.0756945,
        0.0730998,
        0.0708662,
        0.0687699,
        0.0681332,
        0.0686614,
        0.0690188,
        0.0701019,
        0.0719831,
        0.0746126,
        0.0766684,
        0.0773967,
        0.0763358,
        0.0732688,
        0.0698175,
        0.065902,
        0.0632367,
        0.0619063,
        0.0609142,
        0.0598095,
        0.0597289,
        0.0595213,
        0.0588188,
        0.0588278,
        0.0593485,
        0.0595572,
        0.0598851,
        0.0597856,
        0.060676,
        0.0613946,
        0.0621465,
        0.0626719,
        0.0633609,
        0.0642053,
        0.0650442,
        0.0668998,
        0.0686245,
        0.0704069,
        0.0721323,
        0.0733292,
        0.0757693,
        0.0787708,
        0.0821503,
        0.0859991,
        0.0918314,
        0.0999239,
        0.109708,
        0.11858,
        0.128605,
        0.138472,
        0.148282,
        0.1592,
        0.171956,
        0.192669,
        0.220806,
        0.263388,
        0.230806,
        0.183305,
        0.178581,
        0.159261,
        0.12255,
        0.113113,
        0.111507,
        0.108622,
        0.10343,
        0.100911,
        0.0969163,
        0.0895156,
        0.0828355,
        0.0786177,
        0.0740532,
        0.0709383,
        0.0693797,
        0.0692463,
        0.0691743,
        0.0686261,
        0.0689048,
        0.0679333,
        0.0661802,
        0.0657615,
        0.0659474,
        0.065627,
        0.0670916,
        0.0693092,
        0.0718019,
        0.0723776,
        0.0714412,
        0.0679473,
        0.0636261,
        0.0601335,
        0.0575656,
        0.0560522,
        0.0550622,
        0.0541772,
        0.0539056,
        0.054064,
        0.0535022,
        0.0538572,
        0.0541293,
        0.0548811,
        0.0556942,
        0.056463,
        0.0565342,
        0.0567567,
        0.056779,
        0.0571791,
        0.0579963,
        0.0585173,
        0.0593283,
        0.0598064,
        0.0600959,
        0.0613448,
        0.062581,
        0.0637275,
        0.0645266,
        0.0663601,
        0.069246,
        0.0712188,
        0.0736385,
        0.0762633,
        0.0794296,
        0.0832174,
        0.0880376,
        0.095273,
        0.105461,
        0.113286,
        0.124905,
        0.139932,
        0.159632,
        0.186356,
        0.232032,
        0.297009,
        0.298703,
        0.267322,
        0.225606,
        0.196785,
        0.167395,
        0.140559,
        0.119754,
        0.106298,
        0.095163,
        0.087147,
        0.0811817,
        0.0773041,
        0.0726968,
        0.0690554,
        0.0671825,
        0.0652761,
        0.0634125,
        0.0609663,
        0.0595056,
        0.0594676,
        0.0596925,
        0.0593218,
        0.0585482,
        0.0580025,
        0.0564398,
        0.0551175,
        0.0534599,
        0.0522198,
        0.0507557,
        0.0499995,
        0.0492975,
        0.0487054,
        0.0487346,
        0.0486009,
        0.0479314,
        0.0478122,
        0.048256,
        0.0481536,
        0.0477341,
        0.0471185,
        0.0465458,
        0.0462463,
        0.045515,
        0.0451618,
        0.0453282,
        0.0452387,
        0.0452694,
        0.0456764,
        0.0458764,
        0.0459616,
        0.0472544,
        0.0473156,
        0.0468206,
        0.0474327,
        0.0478489,
        0.0478989,
        0.0484408,
        0.0496677,
        0.05003,
        0.0506053,
        0.0521034,
        0.0527569,
        0.053673,
        0.054947,
        0.0558583,
        0.0575843,
        0.0586894,
        0.0596594,
        0.061371,
        0.0677281,
        0.0710202,
        0.0678686,
        0.0709556,
        0.0738053,
        0.0784238,
        0.0917679,
        0.0995581,
        0.10442,
        0.112575,
        0.123295,
        0.130603,
        0.135155,
        0.143724,
        0.161311,
        0.183485,
        0.21438,
        0.261294,
        0.300366,
        0.243609,
        0.196219,
        0.159371,
        0.133638,
        0.118712,
        0.108681,
        0.098161,
        0.0901093,
        0.0835105,
        0.0788051,
        0.074815,
        0.0715624,
        0.0694231,
        0.0682964,
        0.0676671,
        0.0662559,
        0.0656419,
        0.0643993,
        0.0627131,
        0.0613571,
        0.0596494,
        0.0572015,
        0.0554377,
        0.0544606,
        0.0527632,
        0.0515548,
        0.0516787,
        0.0498912,
        0.059051,
        0.0595796,
        0.0469185,
        0.0466801,
        0.0463431,
        0.0458563,
        0.0456206,
        0.0453414,
        0.0453032,
        0.0448742,
        0.0449911,
        0.0452516,
        0.0452887,
        0.0457778,
        0.0465281,
        0.0479443,
        0.050162,
        0.0525571,
        0.0552467,
        0.0575002,
        0.0566444,
        0.0533231,
        0.0505243,
        0.0487535,
        0.0477392,
        0.0469682,
        0.0465323,
        0.0464763,
        0.046431,
        0.0512181,
        0.0497869,
        0.0468688,
        0.0471218,
        0.0479146,
        0.0485883,
        0.0493749,
        0.0500202,
        0.0504655,
        0.0514812,
        0.0523416,
        0.0534696,
        0.0547304,
        0.0557006,
        0.0572644,
        0.0591362,
        0.0617064,
        0.064713,
        0.0686665,
        0.0730509,
        0.0788099,
        0.0857746,
        0.0955866,
        0.109653,
        0.12599,
        0.144777,
        0.175607,
        0.211971,
        0.258467,
        0.325135,
        0.361258,
        0.260613,
        0.211611,
        0.167245,
        0.146395,
        0.136477,
        0.126183,
        0.112129,
        0.108172,
        0.104061,
        0.101519,
        0.105116,
        0.1054,
        0.105033,
        0.101972,
        0.0973701,
        0.0928454,
        0.0913343,
        0.0928972,
        0.0950546,
        0.102929,
        0.118237,
        0.141845,
        0.180531,
        0.246191,
        0.321226,
        0.224144,
        0.163465,
        0.12711,
        0.100739,
        0.0871839,
        0.0770863,
        0.0692957,
        0.0643312,
        0.0609987,
        0.0587532,
        0.0559212,
        0.0538414,
        0.0518941,
        0.0508781,
        0.0502133,
        0.0498302,
        0.0492159,
        0.05109,
        0.0506302,
        0.0476332,
        0.0504345,
        0.0484272,
        0.0495733,
        0.0494806,
        0.0463723,
        0.0462271,
        0.046641,
        0.047166,
        0.0479952,
        0.0495203,
        0.0518645,
        0.054995,
        0.0581165,
        0.0620259,
        0.0645019,
        0.0655232,
        0.0654154,
        0.0647233,
        0.0638535,
        0.0683849,
        0.0706771,
        0.0702515,
        0.0757665,
        0.0839882,
        0.0946851,
        0.109555,
        0.134274,
        0.168767,
        0.223611,
        0.424921,
        0.322537,
        0.268678,
        0.231709,
        0.197642,
        0.179379,
        0.167201,
        0.160983,
        0.168361,
        0.16978,
        0.170042,
        0.191168,
        0.223485,
        0.280693,
        0.273661,
        0.203458,
        0.165411,
        0.141088,
        0.116119,
        0.0974351,
        0.0885325,
        0.0808588,
        0.0745697,
        0.0699104,
        0.0653957,
        0.0623375,
        0.0593433,
        0.057387,
        0.0614088,
        0.057291,
        0.0522162,
        0.0512454,
        0.0501155,
        0.0491881,
        0.0481561,
        0.0473802,
        0.0464896,
        0.046329,
        0.0462115,
        0.0457682,
        0.045692,
        0.04541,
        0.045501,
        0.0453605,
        0.0458887,
        0.0453337,
        0.0442861,
        0.0439305,
        0.0428081,
        0.0421156,
        0.0415375,
        0.0413696,
        0.0413916,
        0.0412876,
        0.0414295,
        0.0419163,
        0.0428971,
        0.0438492,
        0.0453229,
        0.0475903,
        0.0500836,
        0.0526877,
        0.0559961,
        0.0569864,
        0.056391,
        0.0554316,
        0.0553072,
        0.0562517,
        0.0579236,
        0.0597956,
        0.0614872,
        0.0608974,
        0.0585334,
        0.0569929,
        0.0555621,
        0.0576219,
        0.057028,
        0.0573153,
        0.0596417,
        0.0628954,
        0.0686779,
        0.07608,
        0.0860517,
        0.101804,
        0.148137,
        0.189539,
        0.204457,
        0.250557,
        0.318009,
        0.353974,
        0.349608,
        0.324677,
        0.278137,
        0.218746,
        0.169613,
        0.135101,
        0.135573,
        0.11438,
        0.0855999,
        0.0798594,
        0.0750729,
        0.0710754,
        0.0689224,
        0.0671627,
        0.0672031,
        0.0683405,
        0.0695168,
        0.0705835,
        0.0762559,
        0.0831165,
        0.0834517,
        0.0923401,
        0.101855,
        0.123764,
        0.14043,
        0.170433,
        0.213368,
        0.287755,
        0.265066,
        0.197742,
        0.160266,
        0.129379,
        0.109355,
        0.101494,
        0.0949086,
        0.0782573,
        0.07355,
        0.0696012,
        0.0655628,
        0.0627761,
        0.0597192,
        0.0579479,
        0.0568257,
        0.0564745,
        0.0558914,
        0.057862,
        0.0599274,
        0.0616617,
        0.0615172,
        0.0597694,
        0.0573183,
        0.0542792,
        0.0524444,
        0.0513473,
        0.0510631,
        0.0515947,
        0.0524131,
        0.0535424,
        0.055294,
        0.0549788,
        0.052829,
        0.0503581,
        0.0477269,
        0.0456062,
        0.0446807,
        0.0428698,
        0.0422789,
        0.0420938,
        0.0416912,
        0.0416698,
        0.0441895,
        0.0438557,
        0.0417037,
        0.0420947,
        0.0427295,
        0.0437975,
        0.0445055,
        0.0454177,
        0.0462584,
        0.0470473,
        0.0483386,
        0.0493487,
        0.0523655,
        0.0555589,
        0.0585807,
        0.063669,
        0.0704754,
        0.0788073,
        0.0892301,
        0.104336,
        0.130497,
        0.159143,
        0.197915,
        0.237052,
        0.267323,
        0.28318,
        0.271177,
        0.262857,
        0.244742,
        0.19584,
        0.169334,
        0.135348,
        0.101709,
        0.0927413,
        0.0808264,
        0.0748859,
        0.0679447,
        0.0601509,
        0.0573953,
        0.0553507,
        0.053828,
        0.0536256,
        0.0527438,
        0.0536498,
        0.0534807,
        0.0513833,
        0.0514234,
        0.0530637,
        0.0539571,
        0.0539452,
        0.055919,
        0.0603787,
        0.0636488,
        0.0634527,
        0.0663251,
        0.071005,
        0.0781381,
        0.0867836,
        0.097488,
        0.114307,
        0.129133,
        0.151197,
        0.176352,
        0.197865,
        0.258854,
        0.357688,
        0.361571,
        0.253359,
        0.189815,
        0.156844,
        0.132176,
        0.117069,
        0.108919,
        0.105151,
        0.102071,
        0.105959,
        0.118512,
        0.13732,
        0.167719,
        0.221232,
        0.252951,
        0.257272,
        0.222602,
        0.171692,
        0.13215,
        0.107237,
        0.0888768,
        0.0776011,
        0.0713081,
        0.0653923,
        0.0619898,
        0.0601595,
        0.0581972,
        0.0594402,
        0.0602273,
        0.0592638,
        0.0604294,
        0.0613024,
        0.0642441,
        0.0675466,
        0.0724379,
        0.0777863,
        0.0871487,
        0.101984,
        0.122755,
        0.154879,
        0.203503,
        0.285789,
        0.44428,
        0.315071,
        0.239222,
        0.207074,
        0.197313,
        0.21337,
        0.230861,
        0.261318,
        0.279001,
        0.29435,
        0.288617,
        0.286968,
        0.287185,
        0.263641,
        0.22793,
        0.223788,
        0.189049,
        0.138184,
        0.122037,
        0.106701,
        0.0940776,
        0.0834679,
        0.0734903,
        0.0660779,
        0.061473,
        0.0617399,
        0.0568721,
        0.053946,
        0.0523438,
        0.05092,
        0.0497285,
        0.0486986,
        0.0488083,
        0.0474874,
        0.0470855,
        0.047601,
        0.0477918,
        0.0486069,
        0.0493124,
        0.0494098,
        0.0521782,
        0.0511864,
        0.0503142,
        0.0504397,
        0.0500479,
        0.0499749,
        0.0505982,
        0.0511636,
        0.0521219,
        0.0534883,
        0.057506,
        0.0667543,
        0.0676992,
        0.064108,
        0.0680105,
        0.0740532,
        0.0836155,
        0.0944422,
        0.114624,
        0.137373,
        0.167966,
        0.263256,
        0.288332,
        0.205528,
        0.156913,
        0.126503,
        0.106656,
        0.0921019,
        0.0828418,
        0.0739901,
        0.068911,
        0.0633667,
        0.0605318,
        0.0575347,
        0.0553433,
        0.0540309,
        0.0537336,
        0.0548918,
        0.0547606,
        0.0541083,
        0.0540165,
        0.0525191,
        0.051958,
        0.0523625,
        0.0520321,
        0.0524351,
        0.0494096,
        0.0476189,
        0.0481226,
        0.0487367,
        0.050072,
        0.0523839,
        0.0536365,
        0.0577553,
        0.0579656,
        0.0564318,
        0.0545579,
        0.0533009,
        0.0539978,
        0.0537795,
        0.0541831,
        0.0582104,
        0.0602978,
        0.0616926,
        0.0682754,
        0.0756188,
        0.0885103,
        0.105795,
        0.128661,
        0.160171,
        0.177833,
        0.191349,
        0.189944,
        0.187949,
        0.19098,
        0.19218,
        0.169253,
        0.138512,
        0.129442,
        0.1041,
        0.0804434,
        0.0712713,
        0.064922,
        0.0592376,
        0.0561521,
        0.0529512,
        0.0508769,
        0.0497373,
        0.0489797,
        0.0498692,
        0.0496533,
        0.0486293,
        0.049569,
        0.0505528,
        0.0523985,
        0.0595408,
        0.0617795,
        0.0594197,
        0.0590836,
        0.0591863,
        0.058777,
        0.0579338,
        0.0564999,
        0.0562023,
        0.0556074,
        0.0552733,
        0.0537428,
        0.0520749,
        0.05098,
        0.0496826,
        0.048768,
        0.0489892,
        0.0483006,
        0.0486111,
        0.0491668,
        0.0524741,
        0.0523012,
        0.0521143,
        0.0549749,
        0.0583446,
        0.0597433,
        0.0605023,
        0.0601538,
        0.0598595,
        0.0596131,
        0.059558,
        0.0624799,
        0.0658718,
        0.0688393,
        0.0807477,
        0.090294,
        0.0946125,
        0.112991,
        0.13959,
        0.1931,
        0.293444,
        0.203379,
        0.157448,
        0.130876,
        0.108666,
        0.0913892,
        0.0807029,
        0.0736906,
        0.068048,
        0.0640304,
        0.0602721,
        0.057123,
        0.0551315,
        0.0545335,
        0.0525053,
        0.0501595,
        0.0490909,
        0.0481669,
        0.0467344,
        0.0463147,
        0.0458165,
        0.0456634,
        0.0454166,
        0.0457036,
        0.0461579,
        0.0458975,
        0.0466102,
        0.054305,
        0.0565961,
        0.0542806,
        0.0566742,
        0.0567539,
        0.0670802,
        0.075115,
        0.0768916,
        0.0897029,
        0.107977,
        0.125357,
        0.147688,
        0.168417,
        0.167842,
        0.155004,
        0.157746,
        0.164417,
        0.1582,
        0.151555,
        0.128041,
        0.106848,
        0.0889148,
        0.0790959,
        0.0696173,
        0.0624198,
        0.0569621,
        0.0527828,
        0.0495884,
        0.0468411,
        0.0445501,
        0.0479367,
        0.0472721,
        0.0411909,
        0.0404734,
        0.0395484,
        0.0390687,
        0.0386165,
        0.0389171,
        0.0384132,
        0.0380711,
        0.0384215,
        0.0386381,
        0.039346,
        0.0396127,
        0.0400166,
        0.0403977,
        0.0410634,
        0.0422483,
        0.0429904,
        0.0454222,
        0.0469841,
        0.050259,
        0.0541236,
        0.0583771,
        0.0616518,
        0.0617361,
        0.0580008,
        0.0575288,
        0.0525453,
        0.0478866,
        0.0454199,
        0.0436065,
        0.0426192,
        0.0418972,
        0.0417933,
        0.0413265,
        0.0409841,
        0.046601,
        0.0465216,
        0.0430181,
        0.0522439,
        0.0535614,
        0.0473177,
        0.0490138,
        0.0505031,
        0.0519197,
        0.0557671,
        0.0576021,
        0.0553259,
        0.0567072,
        0.0665966,
        0.0697144,
        0.0712574,
        0.0747197,
        0.0804006,
        0.0925112,
        0.109035,
        0.135408,
        0.172014,
        0.241137,
        0.361588,
        0.233072,
        0.180004,
        0.139616,
        0.118834,
        0.0967391,
        0.0852242,
        0.0761918,
        0.0731307,
        0.0662413,
        0.0623956,
        0.0585742,
        0.0570636,
        0.055831,
        0.0548841,
        0.0548368,
        0.0541211,
        0.054452,
        0.0545594,
        0.0559592,
        0.0568808,
        0.0584532,
        0.0610464,
        0.064627,
        0.0688282,
        0.0753548,
        0.0853761,
        0.0984764,
        0.116581,
        0.13549,
        0.152564,
        0.158878,
        0.161778,
        0.160469,
        0.187694,
        0.198209,
        0.164829,
        0.150997,
        0.13298,
        0.114295,
        0.100122,
        0.0885475,
        0.0815553,
        0.0781045,
        0.0766691,
        0.077564,
        0.0792493,
        0.081476,
        0.0840302,
        0.0882234,
        0.0961165,
        0.101143,
        0.111402,
        0.134861,
        0.165914,
        0.203746,
        0.291359,
        0.359959,
        0.239491,
        0.175208,
        0.140971,
        0.113269,
        0.0959252,
        0.0843019,
        0.0766205,
        0.0698161,
        0.0641391,
        0.0607978,
        0.0589492,
        0.0562269,
        0.0544553,
        0.0537982,
        0.0535654,
        0.0532958,
        0.0531421,
        0.0528485,
        0.052232,
        0.0509581,
        0.0499118,
        0.048745,
        0.0475029,
        0.0462952,
        0.0451672,
        0.0443365,
        0.0438213,
        0.0429869,
        0.050659,
        0.0500872,
        0.0418606,
        0.0415758,
        0.0416453,
        0.0416979,
        0.0418771,
        0.0416945,
        0.0421287,
        0.0425944,
        0.0436406,
        0.0443859,
        0.0454463,
        0.0467353,
        0.0478393,
        0.0497892,
        0.0524898,
        0.054815,
        0.0592626,
        0.0636703,
        0.070441,
        0.078547,
        0.0891645,
        0.106131,
        0.127035,
        0.165459,
        0.223857,
        0.335226,
        0.35407,
        0.268137,
        0.200973,
        0.166341,
        0.136757,
        0.107491,
        0.0965918,
        0.0911014,
        0.088474,
        0.0886233,
        0.0866566,
        0.0855922,
        0.0866592,
        0.0871369,
        0.087544,
        0.0897043,
        0.0945866,
        0.106486,
        0.120012,
        0.120213,
        0.133182,
        0.143643,
        0.1427,
        0.142323,
        0.141436,
        0.141062,
        0.138843,
        0.135073,
        0.136256,
        0.114857,
        0.0989449,
        0.0834878,
        0.07283,
        0.0646348,
        0.0590363,
        0.0553632,
        0.0519875,
        0.0502397,
        0.0483545,
        0.0473061,
        0.0464359,
        0.0465692,
        0.0464576,
        0.047504,
        0.0478998,
        0.0491524,
        0.0490389,
        0.0481855,
        0.0466242,
        0.0448544,
        0.0424415,
        0.0417777,
        0.0404349,
        0.0402829,
        0.0406675,
        0.0461919,
        0.0440258,
        0.0403991,
        0.0404228,
        0.040467,
        0.0407308,
        0.0498083,
        0.0511557,
        0.0441628,
        0.0437766,
        0.0436617,
        0.0433063,
        0.0423232,
        0.0416042,
        0.0406218,
        0.0415633,
        0.0407757,
        0.0390557,
        0.0382762,
        0.038188,
        0.038525,
        0.0428344,
        0.0442298,
        0.037223,
        0.0378598,
        0.0375242,
        0.0374849,
        0.0372607,
        0.0371247,
        0.0366213,
        0.0368646,
        0.0371211,
        0.0371155,
        0.0367077,
        0.0368738,
        0.0368472,
        0.037177,
        0.0373944,
        0.038117,
        0.0385563,
        0.0389348,
        0.0393625,
        0.0428287,
        0.0421249,
        0.0412728,
        0.0428634,
        0.0443933,
        0.046514,
        0.0483016,
        0.0495386,
        0.0501025,
        0.0498528,
        0.049808,
        0.0537861,
        0.0511101,
        0.0493991,
        0.0501901,
        0.0523317,
        0.0547516,
        0.0581133,
        0.0615412,
        0.0656427,
        0.0726618,
        0.0805925,
        0.0914554,
        0.106735,
        0.135734,
        0.170295,
        0.208839,
        0.282313,
        0.28829,
        0.202003,
        0.164318,
        0.146719,
        0.137845,
        0.133612,
        0.136696,
        0.142989,
        0.153837,
        0.170382,
        0.173382,
        0.179773,
        0.182214,
        0.185323,
        0.193701,
        0.205672,
        0.227268,
        0.246491,
        0.243263,
        0.221187,
        0.194299,
        0.167557,
        0.142341,
        0.126368,
        0.114886,
        0.104062,
        0.0926633,
        0.0851316,
        0.0763398,
        0.0684271,
        0.0627319,
        0.0584889,
        0.0555369,
        0.052724,
        0.0508552,
        0.049633,
        0.048769,
        0.047896,
        0.0474318,
        0.0477266,
        0.0486756,
        0.0503133,
        0.0509046,
        0.0518804,
        0.0512225,
        0.0499834,
        0.0477691,
        0.0466596,
        0.0453469,
        0.043857,
        0.0443957,
        0.045822,
        0.0416608,
        0.0419672,
        0.0414089,
        0.0408044,
        0.0419546,
        0.0421958,
        0.0407535,
        0.0409897,
        0.0412517,
        0.0420087,
        0.0422267,
        0.0431798,
        0.0448391,
        0.0463793,
        0.0484554,
        0.0482136,
        0.0475663,
        0.0456566,
        0.0442473,
        0.0426887,
        0.0416661,
        0.0414748,
        0.0408562,
        0.0402875,
        0.0402043,
        0.0404342,
        0.0400601,
        0.0404767,
        0.0402703,
        0.0402512,
        0.0402989,
        0.0404034,
        0.0409629,
        0.0408885,
        0.0408244,
        0.041166,
        0.0411108,
        0.0408908,
        0.040811,
        0.0407616,
        0.040963,
        0.0410706,
        0.0406169,
        0.0467149,
        0.04605,
        0.0428788,
        0.0437618,
        0.0444149,
        0.0443064,
        0.0450398,
        0.0451772,
        0.0446548,
        0.0445315,
        0.0445476,
        0.0450969,
        0.045749,
        0.0463638,
        0.0466162,
        0.0473231,
        0.0485451,
        0.0498887,
        0.0515017,
        0.0540841,
        0.0560061,
        0.0591144,
        0.0621318,
        0.0668107,
        0.0736779,
        0.0814733,
        0.0899745,
        0.105689,
        0.126814,
        0.158759,
        0.211282,
        0.288742,
        0.290004,
        0.241101,
        0.220641,
        0.211524,
        0.200244,
        0.196315,
        0.166404,
        0.147627,
        0.12513,
        0.105676,
        0.0928255,
        0.0838574,
        0.0761298,
        0.0706522,
        0.06718,
        0.062907,
        0.0610303,
        0.0603325,
        0.0598039,
        0.0591748,
        0.0591827,
        0.0593104,
        0.0578317,
        0.0553237,
        0.0549461,
        0.0536144,
        0.0528219,
        0.0519223,
        0.0515589,
        0.0591815,
        0.0572792,
        0.0494142,
        0.0478429,
        0.0471726,
        0.0471663,
        0.0466736,
        0.0463394,
        0.0465578,
        0.0469788,
        0.0464044,
        0.0466326,
        0.0469995,
        0.0473682,
        0.0481363,
        0.0493324,
        0.0502524,
        0.0505921,
        0.0503531,
        0.051135,
        0.0526114,
        0.053946,
        0.0550625,
        0.0566687,
        0.0594714,
        0.0605662,
        0.0646033,
        0.0682403,
        0.0723382,
        0.0773847,
        0.0859166,
        0.0945459,
        0.107425,
        0.127056,
        0.150939,
        0.192308,
        0.241287,
        0.35521,
        0.265948,
        0.200303,
        0.15993,
        0.133581,
        0.114462,
        0.0999982,
        0.0889107,
        0.0794671,
        0.0745902,
        0.0695309,
        0.0658648,
        0.0621238,
        0.0603126,
        0.0584503,
        0.0565639,
        0.0552948,
        0.0544689,
        0.0539469,
        0.0527919,
        0.052749,
        0.0520605,
        0.0516708,
        0.050783,
        0.0508676,
        0.050681,
        0.0516705,
        0.0532415,
        0.0553493,
        0.0555824,
        0.0536912,
        0.0547878,
        0.0561194,
        0.0567671,
        0.0582034,
        0.0614334,
        0.06655,
        0.0733535,
        0.0742174,
        0.0806481,
        0.0875447,
        0.0962163,
        0.110176,
        0.124284,
        0.148773,
        0.179361,
        0.201412,
        0.2318,
        0.267917,
        0.299936,
        0.223645,
        0.179302,
        0.144036,
        0.117566,
        0.102384,
        0.0890589,
        0.0816885,
        0.0747103,
        0.0688059,
        0.0642787,
        0.061064,
        0.0583814,
        0.0565549,
        0.055315,
        0.0529458,
        0.0510961,
        0.0505662,
        0.0491523,
        0.0488733,
        0.0477844,
        0.0470317,
        0.047228,
        0.0471693,
        0.0465657,
        0.0452724,
        0.045543,
        0.0454782,
        0.0453985,
        0.0454878,
        0.0451457,
        0.0448829,
        0.0442953,
        0.0442659,
        0.0446936,
        0.0451721,
        0.045946,
        0.0460765,
        0.0469043,
        0.0471622,
        0.0473314,
        0.047798,
        0.0480616,
        0.0487501,
        0.0484306,
        0.0480858,
        0.0476094,
        0.0482718,
        0.0493391,
        0.0478906,
        0.0473783,
        0.0491251,
        0.0459329,
        0.0456076,
        0.0460121,
        0.0452731,
        0.0455676,
        0.0463106,
        0.0460106,
        0.0465844,
        0.0476347,
        0.0471725,
        0.0465681,
        0.0466354,
        0.0467596,
        0.0446082,
        0.0444691,
        0.0436812,
        0.0431979,
        0.043047,
        0.0429909,
        0.0422835,
        0.0418814,
        0.0417696,
        0.0417641,
        0.0415966,
        0.0415482,
        0.0421223,
        0.0418877,
        0.0416237,
        0.0420046,
        0.0419773,
        0.0424088,
        0.0421275,
        0.0427869,
        0.0428385,
        0.0430234,
        0.0438367,
        0.0437811,
        0.04492,
        0.054551,
        0.0556626,
        0.0463106,
        0.0465412,
        0.0458101,
        0.04657,
        0.0476083,
        0.0486335,
        0.0491892,
        0.0509486,
        0.0520656,
        0.0551141,
        0.0575592,
        0.0607314,
        0.0635123,
        0.0651634,
        0.0676677,
        0.0678668,
        0.0702147,
        0.0716586,
        0.0758594,
        0.0847374,
        0.0959835,
        0.101236,
        0.112462,
        0.121521,
        0.126935,
        0.127264,
        0.121399,
        0.123051,
        0.12369,
        0.126618,
        0.133339,
        0.133279,
        0.137163,
        0.139825,
        0.133291,
        0.138827,
        0.14412,
        0.161214,
        0.187208,
        0.225259,
        0.284414,
        0.310063,
        0.219233,
        0.171129,
        0.134587,
        0.113826,
        0.0962967,
        0.0858669,
        0.0774127,
        0.07106,
        0.0662486,
        0.0612144,
        0.0593311,
        0.0565477,
        0.0545071,
        0.0538462,
        0.0524018,
        0.0515969,
        0.050015,
        0.0502376,
        0.0494914,
        0.0485637,
        0.0485703,
        0.0490164,
        0.0488097,
        0.0494033,
        0.0505976,
        0.0514578,
        0.050439,
        0.0489725,
        0.0516029,
        0.0553163,
        0.0468332,
        0.0463566,
        0.046429,
        0.0462992,
        0.0468731,
        0.0466368,
        0.0503532,
        0.0508123,
        0.048151,
        0.0486577,
        0.0489561,
        0.0493199,
        0.0488723,
        0.0482188,
        0.0477116,
        0.0477123,
        0.0474641,
        0.0463978,
        0.0463319,
        0.0456963,
        0.0458454,
        0.0458007,
        0.0455966,
        0.0452642,
        0.045338,
        0.0453979,
        0.0449406,
        0.0454733,
        0.0453668,
        0.0446914,
        0.0443703,
        0.044827,
        0.0446422,
        0.0453571,
        0.0443456,
        0.0446427,
        0.0447172,
        0.0448811,
        0.0455042,
        0.0446175,
        0.0441539,
        0.0444165,
        0.045316,
        0.0451351,
        0.0454718,
        0.0461914,
        0.0453696,
        0.0456001,
        0.046606,
        0.047074,
        0.0474012,
        0.0488169,
        0.0501955,
        0.0522689,
        0.0540891,
        0.0552786,
        0.0570739,
        0.0580883,
        0.058767,
        0.0578969,
        0.0578882,
        0.0588186,
        0.0582874,
        0.0588648,
        0.0599793,
        0.062761,
        0.0642942,
        0.0653327,
        0.0656681,
        0.0671138,
        0.0687751,
        0.0715898,
        0.0754109,
        0.0782722,
        0.0831709,
        0.0910351,
        0.0973392,
        0.104366,
        0.105769,
        0.104783,
        0.100228,
        0.100154,
        0.0994331,
        0.101354,
        0.102672,
        0.10662,
        0.106174,
        0.101052,
        0.0961911,
        0.0895424,
        0.0828961,
        0.0788423,
        0.0750372,
        0.0749792,
        0.0723129,
        0.0735755,
        0.0737038,
        0.0772317,
        0.0799327,
        0.0831495,
        0.0889909,
        0.100998,
        0.117456,
        0.143186,
        0.184715,
        0.195055,
        0.229611,
        0.248666,
        0.227327,
        0.197668,
        0.161641,
        0.138855,
        0.118675,
        0.102125,
        0.0914429,
        0.0834658,
        0.0788782,
        0.0821146,
        0.0717176,
        0.0661239,
        0.0638123,
        0.061903,
        0.0617997,
        0.0609367,
        0.0605081,
        0.0604069,
        0.0645142,
        0.0652251,
        0.0605371,
        0.0612603,
        0.0602136,
        0.0592341,
        0.058481,
        0.057966,
        0.0570258,
        0.0570667,
        0.0569578,
        0.0573579,
        0.0574646,
        0.0567251,
        0.0558628,
        0.0558135,
        0.0569136,
        0.056346,
        0.0561767,
        0.0565402,
        0.0561164,
        0.0562959,
        0.055791,
        0.0561564,
        0.0563851,
        0.0582957,
        0.0569317,
        0.0572199,
        0.0580226,
        0.0573177,
        0.0587545,
        0.0605118,
        0.0591721,
        0.0593799,
        0.0598581,
        0.0608133,
        0.0606093,
        0.0619746,
        0.0627481,
        0.0637994,
        0.0640802,
        0.0661899,
        0.0675514,
        0.069921,
        0.0719038,
        0.0743186,
        0.0765084,
        0.0800829,
        null,
        0.0442965,
        0.0447482,
        0.0457584,
        0.046867,
        0.0486404,
        0.0515638,
        0.0547175,
        0.0582069,
        0.0629747,
        0.0672839,
        0.0721265,
        0.0765266,
        0.077587,
        0.0758002,
        0.0745889,
        0.0744187,
        0.0746258,
        0.0764146,
        0.0772506,
        0.0776933,
        0.075426,
        0.0703047,
        0.0646849,
        0.0592946,
        0.055975,
        0.0529534,
        0.0502322,
        0.0487114,
        0.0474967,
        0.0468205,
        0.0460834,
        0.0449009,
        0.0439363,
        0.0438055,
        0.0436493,
        0.0437239,
        0.044124,
        0.0440747,
        0.0445885,
        0.0449486,
        0.0442809,
        0.0461977,
        0.0460848,
        0.0471049,
        0.0449314,
        0.0457994,
        0.0471395,
        0.0491603,
        0.0519454,
        0.0558453,
        0.0610371,
        0.0678508,
        0.0785611,
        0.0919736,
        0.10629,
        0.126891,
        0.125087,
        0.102474,
        0.0891887,
        0.0773911,
        0.0667061,
        0.0591388,
        0.0548069,
        0.051812,
        0.0486614,
        0.0469126,
        0.0456069,
        0.0448514,
        0.0442539,
        0.043868,
        0.0433701,
        0.0502791,
        0.0500433,
        0.042355,
        0.0425542,
        0.0424776,
        0.042683,
        0.0429102,
        0.0435582,
        0.0447558,
        0.0458723,
        0.0469254,
        0.048089,
        0.0483023,
        0.0482399,
        0.0477312,
        0.047681,
        0.0467202,
        0.0453413,
        0.0464891,
        0.0451912,
        0.0411561,
        0.0408094,
        0.0408945,
        0.0412489,
        0.041874,
        0.042341,
        0.0421817,
        0.0413097,
        0.0432485,
        0.0410253,
        0.0384181,
        0.0380134,
        0.0378397,
        0.0374647,
        0.037336,
        0.0374346,
        0.0372537,
        0.0370596,
        0.0373567,
        0.0378011,
        0.0379639,
        0.0384572,
        0.0392982,
        0.0398262,
        0.0406637,
        0.0418389,
        0.0433234,
        0.0444625,
        0.0464905,
        0.0496991,
        0.0531627,
        0.0574406,
        0.0613456,
        0.0630836,
        0.0624822,
        0.0605738,
        0.0591142,
        0.0585304,
        0.0594336,
        0.0610744,
        0.0621929,
        0.0618522,
        0.0603091,
        0.0563194,
        0.0527483,
        0.0501433,
        0.0477544,
        0.0461859,
        0.0452264,
        0.0436572,
        0.0428851,
        0.0419769,
        0.0405722,
        0.0394786,
        0.0387138,
        0.0378755,
        0.0377637,
        0.0375401,
        0.0372009,
        0.037213,
        0.0373287,
        0.0370844,
        0.0370916,
        0.0369115,
        0.0370639,
        0.0370929,
        0.0368619,
        0.0367057,
        0.036992,
        0.0370252,
        0.0375403,
        0.0379618,
        0.0384585,
        0.038729,
        0.0397277,
        0.0403234,
        0.0414263,
        0.0431013,
        0.0443712,
        0.0471256,
        0.0508766,
        0.0558024,
        0.0640519,
        0.0676152,
        0.0782417,
        0.0896004,
        0.0964867,
        0.0967085,
        0.0909975,
        0.0815684,
        0.0732081,
        0.0676935,
        0.0637059,
        0.061687,
        0.061562,
        0.0621458,
        0.0616892,
        0.060364,
        0.062434,
        0.0603642,
        0.0513342,
        0.0479882,
        0.0461692,
        0.0444622,
        0.0436603,
        0.0424342,
        0.0402967,
        0.0396252,
        0.0386135,
        0.0377812,
        0.0375015,
        0.0372132,
        0.0371084,
        0.0371532,
        0.0368025,
        0.0367475,
        0.0366197,
        0.0363839,
        0.036045,
        0.0364195,
        0.0363714,
        0.0359376,
        0.0359092,
        0.0360918,
        0.0365422,
        0.036773,
        0.0371323,
        0.0376448,
        0.0377784,
        0.0426525,
        0.0432163,
        0.0386959,
        0.0394926,
        0.0401912,
        0.0408628,
        0.0418128,
        0.0430064,
        0.0445601,
        0.0461288,
        0.0481256,
        0.0500125,
        0.0522843,
        0.0551508,
        0.0588838,
        0.0627605,
        0.0675844,
        0.0723998,
        0.0767825,
        0.0798303,
        0.0828101,
        0.0852517,
        0.0894565,
        0.0977131,
        0.109062,
        0.125593,
        0.150382,
        0.178672,
        0.214534,
        0.28194,
        0.279493,
        0.191024,
        0.145547,
        0.117844,
        0.098521,
        0.0856592,
        0.0767764,
        0.0700064,
        0.0639338,
        0.0597425,
        0.057009,
        0.0549169,
        0.0523548,
        0.0512951,
        0.0504304,
        0.0502781,
        0.0508861,
        0.0513798,
        0.0520488,
        0.0516266,
        0.0508052,
        0.0493864,
        0.0489911,
        0.0474829,
        0.0461379,
        0.0457824,
        0.0451964,
        0.0448335,
        0.0453168,
        0.0456846,
        0.0465248,
        0.0482896,
        0.0505518,
        0.0531453,
        0.0565084,
        0.0594833,
        0.0624562,
        0.0651297,
        0.06945,
        0.0758866,
        0.0832297,
        0.0890718,
        0.0888389,
        0.0829112,
        0.0738193,
        0.0653312,
        0.0578808,
        0.0527714,
        0.0486621,
        0.0459798,
        0.0437334,
        0.0411563,
        0.0398443,
        0.0391,
        0.0380406,
        0.0372509,
        0.0365094,
        0.0361932,
        0.0356667,
        0.0349628,
        0.0346221,
        0.0343769,
        0.0341489,
        0.0337628,
        0.0342199,
        0.0340165,
        0.0330499,
        0.0328298,
        0.032592,
        0.0327333,
        0.0327365,
        0.03276,
        0.032756,
        0.0329822,
        0.0340572,
        0.0344033,
        0.034484,
        0.034225,
        0.0345166,
        0.0346313,
        0.0345619,
        0.0343512,
        0.0346751,
        0.0348215,
        0.0351344,
        0.0360089,
        0.0364352,
        0.0374012,
        0.0389322,
        0.0407835,
        0.0428221,
        0.0451039,
        0.0479451,
        0.050623,
        0.0516597,
        0.0515713,
        0.0504059,
        0.0493075,
        0.0480952,
        0.0475741,
        0.0482827,
        0.0492763,
        0.0504535,
        0.050361,
        0.0491225,
        0.0468435,
        0.0448995,
        0.0432386,
        0.0425217,
        0.0441901,
        0.0452258,
        0.0434803,
        0.0434041,
        0.0427769,
        0.0449717,
        0.0419205,
        0.0381599,
        0.0366728,
        0.0354627,
        0.0345587,
        0.0340158,
        0.0337436,
        0.0332268,
        0.0329736,
        0.0327189,
        0.0358831,
        0.0354149,
        0.0326398,
        0.032929,
        0.0331298,
        0.0336553,
        0.0339569,
        0.0343726,
        0.0346802,
        0.0351315,
        0.0359049,
        0.0367673,
        0.0416309,
        0.0426342,
        0.0401222,
        0.0418737,
        0.0439177,
        0.0460059,
        0.0474506,
        0.0490725,
        0.0501702,
        0.05048,
        0.0525295,
        0.0548175,
        0.0586692,
        0.0631928,
        0.0708222,
        0.0783076,
        0.0844615,
        0.0885641,
        0.0895413,
        0.0857057,
        0.0795244,
        0.0789733,
        0.0726142,
        0.0612721,
        0.0581676,
        0.0564453,
        0.0557809,
        0.0572145,
        0.0600829,
        0.0635194,
        0.0670479,
        0.0680509,
        0.0656854,
        0.0602926,
        0.0548965,
        0.0496589,
        0.0454444,
        0.0451127,
        0.0450917,
        0.0432968,
        0.0369953,
        0.0361785,
        0.035415,
        0.0349214,
        0.0340318,
        0.0334578,
        0.0334053,
        0.0336064,
        0.033558,
        0.033252,
        0.033017,
        0.0328151,
        0.0333803,
        0.0331828,
        0.0328116,
        0.0331578,
        0.0333887,
        0.0336914,
        0.0348257,
        0.0356058,
        0.0347223,
        0.0355752,
        0.036409,
        0.0372484,
        0.0382423,
        0.0394713,
        0.0403045,
        0.0419208,
        0.0442979,
        0.0508495,
        0.0522863,
        0.0493661,
        0.0503312,
        0.0502978,
        0.0494052,
        0.0480519,
        0.0471487,
        0.0454868,
        0.0441858,
        0.0434958,
        0.0430603,
        0.0432515,
        0.0439248,
        0.0441109,
        0.0442336,
        0.0434833,
        0.0418887,
        0.0399991,
        0.0387531,
        0.0368626,
        0.0349551,
        0.0339903,
        0.0329259,
        0.0322672,
        0.0317851,
        0.0336659,
        0.0369824,
        0.0334715,
        0.0307688,
        0.0308643,
        0.0306313,
        0.03069,
        0.0304899,
        0.030382,
        0.0303739,
        0.029998,
        0.0300762,
        0.0301774,
        0.0304374,
        0.0309577,
        0.0316041,
        0.0325331,
        0.0337383,
        0.0340359,
        0.0342319,
        0.038615,
        0.0392375,
        0.0350409,
        0.0348463,
        0.0352162,
        0.0339168,
        0.0325326,
        0.0320586,
        0.0317416,
        0.0315403,
        0.0310383,
        0.0307978,
        0.030566,
        0.0306317,
        0.0305498,
        0.0302382,
        0.030178,
        0.0302268,
        0.0302377,
        0.0302078,
        0.0301561,
        0.030233,
        0.0303315,
        0.0303721,
        0.0302057,
        0.0302398,
        0.0301678,
        0.0303504,
        0.0301915,
        0.0304054,
        0.0306345,
        0.0308001,
        0.0312306,
        0.0323307,
        0.0322808,
        0.0325867,
        0.0333672,
        0.0341313,
        0.0355213,
        0.0391358,
        0.042196,
        0.0428214,
        0.0474365,
        0.0517217,
        0.0546955,
        0.056655,
        0.0552197,
        0.0536427,
        0.0514666,
        0.0505541,
        0.0497101,
        0.0486167,
        0.0469025,
        0.0448165,
        0.0419092,
        0.0405792,
        0.0396469,
        0.0377607,
        0.0370696,
        0.0367436,
        0.0361273,
        0.0355933,
        0.0349855,
        0.0345263,
        0.0342631,
        0.0338938,
        0.0337543,
        0.0337904,
        0.034328,
        0.0344336,
        0.0350046,
        0.0349258,
        0.0351968,
        0.0393765,
        0.0404434,
        0.0371382,
        0.0378234,
        0.0393685,
        0.0409022,
        0.041877,
        0.0432168,
        0.0432483,
        0.0421296,
        0.0409656,
        0.0405681,
        0.0406166,
        0.0408162,
        0.0414562,
        0.042434,
        0.049015,
        0.0483128,
        0.0436055,
        0.0422078,
        0.0399315,
        0.039374,
        0.0383018,
        0.0373686,
        0.0375253,
        0.0375369,
        0.0376891,
        0.0383049,
        0.0389648,
        0.0394559,
        0.0403754,
        0.0430342,
        0.0444699,
        0.0439657,
        0.0456989,
        0.047955,
        0.0505536,
        0.0536965,
        0.0577758,
        0.0617544,
        0.067368,
        0.074683,
        0.0835925,
        0.0981961,
        0.114785,
        0.13497,
        0.174237,
        0.24137,
        0.281656,
        0.197649,
        0.146355,
        0.127837,
        0.102253,
        0.0869345,
        0.0746911,
        0.0685158,
        0.0625682,
        0.0589423,
        0.0554056,
        0.0519484,
        0.0507153,
        0.0499426,
        0.0495794,
        0.049818,
        0.0506726,
        0.0510184,
        0.0516488,
        0.0506831,
        0.0483784,
        0.0462608,
        0.0436655,
        0.0416971,
        0.0403157,
        0.0388868,
        0.0378039,
        0.0365746,
        0.0358223,
        0.0354493,
        0.0350883,
        0.0344879,
        0.0343881,
        0.0345252,
        0.0344038,
        0.0346594,
        0.0351935,
        0.0355731,
        0.0368846,
        0.0388253,
        0.0402218,
        0.0420572,
        0.0446518,
        0.0473656,
        0.0492137,
        0.0493978,
        0.048072,
        0.0459768,
        0.0456908,
        0.041598,
        0.0378171,
        0.0361844,
        0.0351915,
        0.0344495,
        0.0337982,
        0.0330746,
        0.0327198,
        0.0326302,
        0.0324001,
        0.0322029,
        0.0321312,
        0.0323998,
        0.0323737,
        0.0323995,
        0.032558,
        0.0331792,
        0.0343277,
        0.0350084,
        0.0353793,
        0.0363785,
        0.0410144,
        0.0425247,
        0.038213,
        0.0376158,
        0.0367554,
        0.0361708,
        0.0357117,
        0.0359314,
        0.0366666,
        0.0365246,
        0.0399796,
        0.0402968,
        0.0369719,
        0.0362843,
        0.0351956,
        0.0340543,
        0.0333115,
        0.0324363,
        0.0324129,
        0.0333455,
        0.0333694,
        0.0333663,
        0.0333868,
        0.03315,
        0.0343275,
        0.0342216,
        0.0329153,
        0.0330084,
        0.0328665,
        0.0326333,
        0.0321756,
        0.0314536,
        0.0353282,
        0.0351838,
        0.0307372,
        0.0306243,
        0.0324424,
        0.0328016,
        0.0303089,
        0.0306582,
        0.0312251,
        0.0316495,
        0.0328949,
        0.0342331,
        0.03807,
        0.0396406,
        0.0374123,
        0.0394086,
        0.040517,
        0.0399473,
        0.0393015,
        0.037519,
        0.035682,
        0.0345837,
        0.0332303,
        0.0325282,
        0.0319981,
        0.0316429,
        0.0383671,
        0.0373605,
        0.0302966,
        0.0301273,
        0.0303294,
        0.0300795,
        0.0297942,
        0.029564,
        0.029276,
        0.0294768,
        0.0293438,
        0.029493,
        0.0293994,
        0.0297088,
        0.0294413,
        0.0288378,
        0.02884,
        0.0285761,
        0.0284252,
        0.0288739,
        0.0289749,
        0.0287441,
        0.0288459,
        0.0292555,
        0.029659,
        0.0295312,
        0.0300324,
        0.0319231,
        0.0319094,
        0.0304284,
        0.0301276,
        0.029581,
        0.0301501,
        0.0295892,
        0.028959,
        0.0291616,
        0.0292941,
        0.0294233,
        0.0298644,
        0.0301981,
        0.0304013,
        0.0309576,
        0.0317889,
        0.0327523,
        0.0335081,
        0.0347208,
        0.0363348,
        0.0383164,
        0.0406188,
        0.0425422,
        0.0437803,
        0.0434718,
        0.0412965,
        0.0391865,
        0.0376298,
        0.0360988,
        0.0351963,
        0.0345905,
        0.0337019,
        0.0332716,
        0.0333695,
        0.0334275,
        0.0340612,
        0.0348855,
        0.0358797,
        0.0367899,
        0.0376508,
        0.0390453,
        0.0400526,
        0.0409074,
        0.0454259,
        0.0469007,
        0.0419033,
        0.0414586,
        0.040545,
        0.0402339,
        0.0412405,
        0.0421988,
        0.0399959,
        0.0393545,
        0.0388736,
        0.0377287,
        0.0369421,
        0.0360654,
        0.0359687,
        0.0357022,
        0.0360042,
        0.0370463,
        0.0391058,
        0.0415209,
        0.0415873,
        0.0410248,
        0.04861,
        0.0474414,
        0.0382161,
        0.0360782,
        0.0345924,
        0.0334072,
        0.0325059,
        0.0319049,
        0.0313354,
        0.0336571,
        0.033597,
        0.0307761,
        0.0302222,
        0.0300734,
        0.0301494,
        0.0302779,
        0.0299093,
        0.0297389,
        0.0300541,
        0.0300338,
        0.0296168,
        0.0294739,
        0.0296088,
        0.0292352,
        0.0296871,
        0.0289906,
        0.0290561,
        0.0292356,
        0.0293923,
        0.0292738,
        0.0292699,
        0.0295511,
        0.0295519,
        0.0291869,
        0.0290896,
        0.0293455,
        0.0293066,
        0.0291757,
        0.0291571,
        0.0290548,
        0.0292066,
        0.029386,
        0.0286153,
        0.0284077,
        0.0285109,
        0.0285253,
        0.0285561,
        0.0286508,
        0.0287776,
        0.0301128,
        0.032044,
        0.0321199,
        0.0316862,
        0.0288573,
        0.0290409,
        0.0289297,
        0.0288206,
        0.0291128,
        0.0329247,
        0.0319868,
        0.0286397,
        0.0289035,
        0.0289378,
        0.0286508,
        0.0287686,
        0.0290066,
        0.0289755,
        0.0290133,
        0.0291692,
        0.0302006,
        0.0299228,
        0.0297111,
        0.029454,
        0.0294154,
        0.0299548,
        0.0301038,
        0.0300654,
        0.0303169,
        0.030534,
        0.0310332,
        0.0346464,
        0.034568,
        0.0318123,
        0.0321632,
        0.0325863,
        0.032919,
        0.0337376,
        0.0344181,
        0.0359995,
        0.03784,
        0.0388362,
        0.040765,
        0.0426707,
        0.0438638,
        0.0448742,
        0.0454548,
        0.0449949,
        0.0449682,
        0.0452512,
        0.046579,
        0.0489869,
        0.0516875,
        0.0532769,
        0.0527667,
        0.0502354,
        0.0476302,
        0.0448895,
        0.0426834,
        0.0414137,
        0.0400139,
        0.0398343,
        0.0404496,
        0.0407653,
        0.0417917,
        0.0391937,
        0.0393798,
        0.0376032,
        0.036187,
        0.0355396,
        0.0342066,
        0.0336727,
        0.033514,
        0.0332257,
        0.0332116,
        0.0328777,
        0.0339707,
        0.0342604,
        0.0345046,
        0.034469,
        0.0326145,
        0.0324892,
        0.0320909,
        0.0322274,
        0.0386002,
        0.0464916,
        0.0373716,
        0.0331219,
        0.0332282,
        0.0333856,
        0.0338297,
        0.0351123,
        0.0352398,
        0.0343028,
        0.0344956,
        0.0349383,
        0.0355921,
        0.0359864,
        0.0361847,
        0.0438978,
        0.0446056,
        0.0385346,
        0.0393844,
        0.0399197,
        0.040984,
        0.0412721,
        0.042558,
        0.0442058,
        0.04721,
        0.0509229,
        0.0513367,
        0.0528406,
        0.0560538,
        0.059811,
        0.0700679,
        0.0746332,
        0.0826702,
        0.0964847,
        0.116784,
        0.147162,
        0.202893,
        0.280818,
        0.412261,
        0.267219,
        0.194315,
        0.161473,
        0.124918,
        0.0973323,
        0.0848766,
        0.0757308,
        0.0678372,
        0.0627906,
        0.0585602,
        0.0611705,
        0.0594841,
        0.0503376,
        0.0477652,
        0.0479063,
        0.0459131,
        0.044683,
        0.0439853,
        0.0430385,
        0.0423686,
        0.0426227,
        0.0434127,
        0.0442258,
        0.0451573,
        0.0476574,
        0.0489627,
        0.0506064,
        0.049293,
        0.0463124,
        0.0441214,
        0.0421148,
        0.0406778,
        0.0392751,
        0.0386413,
        0.037763,
        0.0371032,
        0.0368135,
        0.0373509,
        0.0380301,
        0.037481,
        0.037526,
        0.0378721,
        0.0381316,
        0.0383319,
        0.0391121,
        0.0403436,
        0.0416961,
        0.0424654,
        0.0439002,
        0.0449381,
        0.0455762,
        0.0453225,
        0.0437409,
        0.041984,
        0.0400332,
        0.0391078,
        0.0378406,
        0.037318,
        0.0370359,
        0.0364886,
        0.0374334,
        0.0375827,
        0.0354828,
        0.0343293,
        0.0336486,
        0.0328838,
        0.0321381,
        0.0324857,
        0.0323429,
        0.0315004,
        0.0315152,
        0.0311765,
        0.0309798,
        0.0309181,
        0.0307486,
        0.0306427,
        0.0303491,
        0.0302427,
        0.0305802,
        0.0303995,
        0.0331802,
        0.0320189,
        0.0300964,
        0.0299053,
        0.0302175,
        0.0298653,
        0.0301947,
        0.0302911,
        0.0298493,
        0.0296121,
        0.0297311,
        0.0298731,
        0.0299239,
        0.0298022,
        0.0344941,
        0.0337001,
        0.0294221,
        0.0298786,
        0.0299545,
        0.0315991,
        0.0316793,
        0.0298583,
        0.0302093,
        0.0302577,
        0.0298604,
        0.0300153,
        0.0315928,
        0.0306347,
        0.0299066,
        0.0300832,
        0.030083,
        0.0291469,
        0.0292456,
        0.0288967,
        0.029264,
        0.0295133,
        0.0293553,
        0.0295524,
        0.0292277,
        0.0291009,
        0.034935,
        0.0353518,
        0.0301706,
        0.0304019,
        0.0312336,
        0.0316127,
        0.0322691,
        0.0331347,
        0.0341347,
        0.0357859,
        0.0382926,
        0.04018,
        0.0411518,
        0.0414438,
        0.0401753,
        0.0386351,
        0.0367827,
        0.0358525,
        0.0348736,
        0.0327195,
        0.0324293,
        0.0319758,
        0.0318002,
        0.0312551,
        0.0310937,
        0.0314955,
        0.0312474,
        0.0309789,
        0.0309182,
        0.0308329,
        0.0306108,
        0.0304356,
        0.0307369,
        0.0306893,
        0.0308715,
        0.0309792,
        0.0310533,
        0.0359451,
        0.0359615,
        0.0318476,
        0.0321561,
        0.0323894,
        0.0325483,
        0.0324333,
        0.0321654,
        0.0320228,
        0.0320948,
        0.036836,
        0.0357492,
        0.031752,
        0.0315486,
        0.0315373,
        0.0319078,
        0.0322653,
        0.0327289,
        0.0330742,
        0.0333316,
        0.0339571,
        0.0354585,
        0.0357358,
        0.0348728,
        0.034683,
        0.0352866,
        0.0356025,
        0.0347193,
        0.035304,
        0.0361413,
        0.0373121,
        0.038717,
        0.0396244,
        0.0405743,
        0.0413505,
        0.0407986,
        0.0394131,
        0.0380904,
        0.0371271,
        0.0357643,
        0.034387,
        0.0340872,
        0.0337868,
        0.0328866,
        0.0328368,
        0.032287,
        0.0325209,
        0.0325618,
        0.033162,
        0.0327739,
        0.0325533,
        0.0322858,
        0.0324118,
        0.0327925,
        0.0325869,
        0.0324787,
        0.0323439,
        0.0326149,
        0.0328204,
        0.032936,
        0.0331249,
        0.0332312,
        0.0330881,
        0.0327422,
        0.0344451,
        0.0335417,
        0.0328237,
        0.0328496,
        0.032946,
        0.0332149,
        0.0341089,
        0.0347165,
        0.0352858,
        0.0359406,
        0.0412091,
        0.0422579,
        0.0392082,
        0.0409484,
        0.0434201,
        0.046756,
        0.05227,
        0.059201,
        0.0695615,
        0.0832132,
        0.0962511,
        0.106845,
        0.11498,
        0.113436,
        0.101797,
        0.0873432,
        0.0741782,
        0.0637469,
        0.0566919,
        0.0506231,
        0.049644,
        0.0446479,
        0.0404031,
        0.0388783,
        0.0380108,
        0.0364893,
        0.0358574,
        0.0352593,
        0.0347761,
        0.0343406,
        0.0342653,
        0.034132,
        0.0337929,
        0.0336496,
        0.0336851,
        0.034063,
        0.0336695,
        0.0335233,
        0.0344032,
        0.0337961,
        0.033762,
        0.0333134,
        0.0331526,
        0.0329651,
        0.033042,
        0.0374421,
        0.0373578,
        0.032825,
        0.0327964,
        0.0328959,
        0.03304,
        0.0333293,
        0.0335951,
        0.0339582,
        0.0338932,
        0.0337193,
        0.0334289,
        0.0333827,
        0.0330917,
        0.0330123,
        0.0325325,
        0.0327002,
        0.0327835,
        0.0330052,
        0.0332895,
        0.0338256,
        0.0342375,
        0.0351151,
        0.03623,
        0.0377883,
        0.0391685,
        0.0429099,
        0.0460489,
        0.0477981,
        0.0510398,
        0.0525738,
        0.0536066,
        0.0524789,
        0.0501924,
        0.0478334,
        0.0455402,
        0.0428178,
        0.0412674,
        0.0401789,
        0.0392606,
        0.0381048,
        0.0376636,
        0.0372249,
        0.0367814,
        0.0370018,
        0.0375041,
        0.0375121,
        0.0377881,
        0.0403728,
        0.0404084,
        0.038204,
        0.0383696,
        0.0388399,
        0.0386801,
        0.0388389,
        0.0395457,
        0.0415824,
        0.0459541,
        0.0427524,
        0.040174,
        0.0399527,
        0.0393257,
        0.0386256,
        0.0383282,
        0.0430427,
        0.0433221,
        0.0382552,
        0.0388506,
        0.0385084,
        0.0391462,
        0.0407153,
        0.042283,
        0.044514,
        0.0466304,
        0.0475108,
        0.0476628,
        0.0552031,
        0.0521759,
        0.04213,
        0.0398201,
        0.0383417,
        0.0374133,
        0.0364409,
        0.0358086,
        0.0353859,
        0.0350613,
        0.0348072,
        0.0343931,
        0.034477,
        0.0347664,
        0.0346252,
        0.0348642,
        0.0349408,
        0.0353638,
        0.0350804,
        0.0357419,
        0.0358573,
        0.0363059,
        0.036923,
        0.0370909,
        0.036398,
        0.0371261,
        0.0372923,
        0.0376747,
        0.0382871,
        0.0389418,
        0.0394315,
        0.039963,
        0.0402035,
        0.041092,
        0.0419937,
        0.0425098,
        0.0431372,
        0.0445373,
        0.0450481,
        0.0460907,
        0.0530378,
        0.0548806,
        0.0525575,
        0.0540415,
        0.0548606,
        0.056924,
        0.0599784,
        0.0633374,
        0.0675007,
        0.0736978,
        0.0793831,
        0.0888225,
        0.115707,
        0.132689,
        0.151571,
        0.18577,
        0.243831,
        0.345489,
        0.224439,
        0.172053,
        0.143209,
        0.121498,
        0.105222,
        0.0977338,
        0.089684,
        0.0825136,
        0.0810931,
        0.0795935,
        0.0779871,
        0.0794339,
        0.0909862,
        0.0891249,
        0.0955711,
        0.109134,
        0.125788,
        0.16121,
        0.223711,
        0.342182,
        0.334624,
        0.231682,
        0.164151,
        0.134,
        0.1301,
        0.104547,
        0.0830766,
        0.0753565,
        0.0690313,
        0.0656972,
        0.0649881,
        0.0628924,
        0.0635644,
        0.0641561,
        0.0649745,
        0.0664101,
        0.0641707,
        0.0621299,
        0.0578476,
        0.0539437,
        0.0507685,
        0.048481,
        0.047331,
        0.0454983,
        0.0445877,
        0.0434569,
        0.0430156,
        0.0431441,
        0.0425058,
        0.0423497,
        0.0427169,
        0.0435906,
        0.0432823,
        0.0431465,
        0.042367,
        0.0414881,
        0.0404801,
        0.0398284,
        0.0388606,
        0.0380188,
        0.0372639,
        0.0366284,
        0.0365161,
        0.0361718,
        0.0361174,
        0.0367435,
        0.0359185,
        0.0356653,
        0.0356133,
        0.038907,
        0.0393713,
        0.0355652,
        0.0352827,
        0.0355255,
        0.0354013,
        0.0354145,
        0.035781,
        0.036402,
        0.036306,
        0.0364072,
        0.0363075,
        0.0366266,
        0.0365105,
        0.0366937,
        0.0361438,
        0.0362586,
        0.0363445,
        0.035911,
        0.0364878,
        0.0362362,
        0.0364391,
        0.0364436,
        0.0370091,
        0.0369846,
        0.0368058,
        0.0368529,
        0.0368704,
        0.0369393,
        0.0369333,
        0.0372725,
        0.0385319,
        0.0375593,
        0.0369246,
        0.037073,
        0.036781,
        0.0366875,
        0.0368801,
        0.0371022,
        0.0366997,
        0.0373135,
        0.036833,
        0.0371367,
        0.0368367,
        0.0366217,
        0.0361787,
        0.0359029,
        0.0361192,
        0.0359872,
        0.0360983,
        0.0359282,
        0.0359508,
        0.0365437,
        0.0363402,
        0.0365391,
        0.0367969,
        0.0368488,
        0.0387748,
        0.0384325,
        0.0388716,
        0.0392587,
        0.0394535,
        0.0406584,
        0.0408006,
        0.0414486,
        0.0452281,
        0.0461444,
        0.0450162,
        0.0454582,
        0.0459838,
        0.0457076,
        0.0468023,
        0.0447762,
        0.043556,
        0.0433921,
        0.0440098,
        0.0448395,
        0.0460926,
        0.0490999,
        0.0513437,
        0.0518805,
        0.0523244,
        0.0509908,
        0.0498379,
        0.0480831,
        0.0454754,
        0.0437631,
        0.0432369,
        0.0429543,
        0.0419807,
        0.0428242,
        0.0420658,
        0.0418097,
        0.0404239,
        0.0401296,
        0.0400356,
        0.0399084,
        0.0396355,
        0.0397792,
        0.0443923,
        0.0452204,
        0.040166,
        0.0403889,
        0.040283,
        0.0402574,
        0.0396356,
        0.0390846,
        0.0385681,
        0.0384789,
        0.0384141,
        0.0431632,
        0.0444904,
        0.0376101,
        0.0377637,
        0.0376488,
        0.0379805,
        0.037216,
        0.0366532,
        0.036752,
        0.0367983,
        0.0367198,
        0.0367011,
        0.0369744,
        0.0371745,
        0.0371378,
        0.0378983,
        0.0382643,
        0.0387855,
        0.0422286,
        0.0424452,
        0.0401886,
        0.0407303,
        0.0409963,
        0.0407441,
        0.0406734,
        0.0402286,
        0.0396305,
        0.039297,
        0.0393727,
        0.0388855,
        0.0385504,
        0.0392966,
        0.0387888,
        0.0396537,
        0.0398001,
        0.0404325,
        0.0408885,
        0.0394561,
        0.0398715,
        0.0405297,
        0.0406709,
        0.0407736,
        0.0419023,
        0.0425696,
        0.0404859,
        0.0402247,
        0.04029,
        0.0400121,
        0.0401845,
        0.0395502,
        0.0396479,
        0.0395703,
        0.0394997,
        0.0391973,
        0.0388656,
        0.0387387,
        0.038954,
        0.0390763,
        0.0392038,
        0.0390025,
        0.0391466,
        0.0395152,
        0.0398022,
        0.039626,
        0.0394442,
        0.0387727,
        0.0378908,
        0.0381663,
        0.0377741,
        0.0376152,
        0.0375187,
        0.0412712,
        0.0397467,
        0.0379732,
        0.038057,
        0.0401194,
        0.0421651,
        0.0428399,
        0.0394036,
        0.0400903,
        0.0410619,
        0.0420071,
        0.043143,
        0.045654,
        0.0481708,
        0.0507554,
        0.0518547,
        0.0511605,
        0.0500314,
        0.0472595,
        0.0457804,
        0.0507213,
        0.0457343,
        0.0423251,
        0.0455272,
        0.0435402,
        0.0416201,
        0.0413588,
        0.0429803,
        0.0440025,
        0.0415884,
        0.0406605,
        0.0411146,
        0.0408078,
        0.0408995,
        0.0406342,
        0.0403383,
        0.0411603,
        0.0418553,
        0.0411279,
        0.0409545,
        0.0409706,
        0.0405063,
        0.0406248,
        0.040812,
        0.0407365,
        0.0411482,
        0.0419241,
        0.0422885,
        0.0416207,
        0.0424318,
        0.042226,
        0.0421399,
        0.0413736,
        0.0416458,
        0.040824,
        0.0406141,
        0.040267,
        0.0407261,
        0.0412644,
        0.0412705,
        0.0409819,
        0.0413958,
        0.0434331,
        0.0452414,
        0.0417893,
        0.0415601,
        0.0413726,
        0.0408477,
        0.0423592,
        0.0416519,
        0.0401254,
        0.0398057,
        0.0395835,
        0.0407292,
        0.0403488,
        0.0393351,
        0.0399153,
        0.0395351,
        0.0398098,
        0.0395698,
        0.0393556,
        0.03982,
        0.0400471,
        0.0397257,
        0.04022,
        0.0407475,
        0.0404811,
        0.0413133,
        0.041621,
        0.0426945,
        0.0420533,
        0.0416343,
        0.0415877,
        0.0419024,
        0.0418811,
        0.04194,
        0.0453411,
        0.0460767,
        0.0435558,
        0.0442254,
        0.0441443,
        0.0450616,
        0.0455478,
        0.0452342,
        0.0452529,
        0.0449363,
        0.049413,
        0.0477276,
        0.0433973,
        0.0447197,
        0.0449068,
        0.0431598,
        0.0433811,
        0.0429493,
        0.0440953,
        0.0448864,
        0.0433964,
        0.0437117,
        0.043893,
        0.0435478,
        0.0441777,
        0.0440022,
        0.0449071,
        0.0447973,
        0.0460453,
        0.0465525,
        0.0462126,
        0.0471719,
        0.0485948,
        0.0495417,
        0.051309,
        0.0551548,
        0.0574763,
        0.0584399,
        0.0580093,
        0.0561786,
        0.053121,
        0.0510226,
        0.0531125,
        0.0514932,
        0.0480253,
        0.0479513,
        0.0487116,
        0.0493383,
        0.0499077,
        0.0496984,
        0.051484,
        0.0522101,
        0.0501537,
        0.0511025,
        0.0519942,
        0.0523427,
        0.0528,
        0.0540739,
        0.058266,
        0.05713,
        0.058191,
        0.0598302,
        0.0617555,
        0.064345,
        0.0665128,
        0.0735663,
        0.0764741,
        0.0785902,
        0.0928998,
        0.0941555,
        0.102581,
        0.11434,
        0.129793,
        0.155649,
        0.18258,
        0.231178,
        0.316947,
        0.393607,
        0.28691,
        0.227323,
        0.196693,
        0.148997,
        0.12808,
        0.109108,
        0.0995074,
        0.0985865,
        0.0920627,
        0.0818788,
        0.0783463,
        0.0736277,
        0.0706646,
        0.0672925,
        0.0661921,
        0.0642433,
        0.0615367,
        0.0604117,
        0.0597092,
        0.058782,
        0.0572858,
        0.0563705,
        0.0562566,
        0.0551108,
        0.0546691,
        0.0536733,
        0.053538,
        0.0526822,
        0.0522373,
        0.051878,
        0.0509661,
        0.0506846,
        0.0517957,
        0.0530718,
        0.0512333,
        0.0495093,
        0.049453,
        0.0493075,
        0.0508713,
        0.0499989,
        0.0497058,
        0.0491966,
        0.0498229,
        0.0497408,
        0.0497614,
        0.0495671,
        0.0492142,
        0.0488095,
        0.0488953,
        0.0484442,
        0.0490461,
        0.0490419,
        0.0485339,
        0.0486759,
        0.0487954,
        0.0482995,
        0.0490284,
        0.0488279,
        0.0494521,
        0.0494583,
        0.0500681,
        0.0507857,
        0.0512753,
        0.052386,
        0.053797,
        0.0558285,
        0.0599484,
        0.0611329,
        0.062132,
        0.0631432,
        0.0618904,
        0.0601062,
        0.0598913,
        0.0570917,
        0.0539529,
        0.0529111,
        0.0510847,
        0.049949,
        0.0499981,
        0.0487787,
        0.0482525,
        0.0478007,
        0.0479825,
        0.0477064,
        0.0469894,
        0.0469108,
        0.0468226,
        0.0471377,
        0.0468763,
        0.0469743,
        0.0470815,
        0.0477086,
        0.0477631,
        0.0473396,
        0.0480903,
        0.0480854,
        0.0507801,
        0.0512903,
        0.0478658,
        0.0475494,
        0.0471259,
        0.0465996,
        0.0497255,
        0.0485852,
        0.0479591,
        0.0475047,
        0.0483249,
        0.0478919,
        0.0487308,
        0.0482613,
        0.0486328,
        0.0484847,
        0.0491784,
        0.0489463,
        0.0485322,
        0.0521594,
        0.0573557,
        0.049254,
        0.0499857,
        0.0497295,
        0.0498291,
        0.0493356,
        0.0493459,
        null,
        0.0427125,
        0.0380696,
        0.0384595,
        0.0386839,
        0.0390837,
        0.0395701,
        0.040201,
        0.0405389,
        0.0407509,
        0.0468642,
        0.0479104,
        0.0444802,
        0.0465794,
        0.0482564,
        0.0490579,
        0.0483581,
        0.0469306,
        0.0453522,
        0.0436877,
        0.0422475,
        0.0411885,
        0.0401815,
        0.0392066,
        0.0386062,
        0.0383214,
        0.0381736,
        0.0379138,
        0.0373081,
        0.0370118,
        0.0367117,
        0.0363609,
        0.0366963,
        0.0368308,
        0.036366,
        0.0362854,
        0.0365972,
        0.0366073,
        0.0366113,
        0.0367684,
        0.0365583,
        0.0367756,
        0.0370238,
        0.036868,
        0.0363927,
        0.0363172,
        0.0365316,
        0.037669,
        0.0374051,
        0.0364172,
        0.0365332,
        0.0365657,
        0.0367108,
        0.0368646,
        0.0370225,
        0.0369621,
        0.0371223,
        0.036868,
        0.0369597,
        0.0370239,
        0.0367936,
        0.0371467,
        0.0373344,
        0.0376382,
        0.0381358,
        0.0380621,
        0.0381455,
        0.0381788,
        0.0378721,
        0.0382716,
        0.038331,
        0.038277,
        0.0384939,
        0.0384883,
        0.0387556,
        0.0390919,
        0.0395147,
        0.0395118,
        0.0393323,
        0.0391311,
        0.0389909,
        0.038731,
        0.0389433,
        0.0388754,
        0.038697,
        0.0389541,
        0.039181,
        0.0410028,
        0.04112,
        0.0390944,
        0.0388331,
        0.038591,
        0.0386229,
        0.0386643,
        0.0388441,
        0.0386728,
        0.0386333,
        0.0386521,
        0.0387537,
        0.0389236,
        0.0391717,
        0.0394364,
        0.0397348,
        0.0396854,
        0.0406049,
        0.0413184,
        0.0419436,
        0.0426635,
        0.0435421,
        0.0445182,
        0.0462853,
        0.0488389,
        0.0490955,
        0.0518059,
        0.0547628,
        0.0570736,
        0.0604142,
        0.0646523,
        0.0708961,
        0.076786,
        0.0861404,
        0.0887258,
        0.0873701,
        0.0941425,
        0.103435,
        0.117755,
        0.139616,
        0.177552,
        0.245169,
        0.273536,
        0.196096,
        0.139496,
        0.113665,
        0.0948008,
        0.0816345,
        0.0727661,
        0.0663858,
        0.0610125,
        0.0566876,
        0.0537444,
        0.0509071,
        0.0487827,
        0.046707,
        0.0452046,
        0.044272,
        0.0428711,
        0.0421527,
        0.0415466,
        0.0410258,
        0.0410372,
        0.0407009,
        0.0395731,
        0.039319,
        0.0386859,
        0.0379838,
        0.0376553,
        0.0373564,
        0.036912,
        0.0366299,
        0.0368335,
        0.0365443,
        0.0360371,
        0.0361126,
        0.0360715,
        0.0359258,
        0.0357602,
        0.0358467,
        0.0356614,
        0.0359788,
        0.0359862,
        0.0355024,
        0.0352134,
        0.0351339,
        0.0352534,
        0.03532,
        0.0352927,
        0.0354857,
        0.0378791,
        0.0370632,
        0.0352935,
        0.0350013,
        0.0348958,
        0.0352035,
        0.0353676,
        0.0351294,
        0.0348207,
        0.0344889,
        0.0346174,
        0.0345092,
        0.0345272,
        0.0344537,
        0.0341897,
        0.0338664,
        0.033841,
        0.0338668,
        0.0382103,
        0.0383042,
        0.03828,
        0.0382706,
        0.0337239,
        0.0341508,
        0.0352857,
        0.0358094,
        0.0342721,
        0.0342022,
        0.0358463,
        0.0355185,
        0.034021,
        0.0340959,
        0.0343174,
        0.034771,
        0.0350836,
        0.0355565,
        0.0363332,
        0.0376431,
        0.0390679,
        0.0403059,
        0.0411512,
        0.0410655,
        0.040409,
        0.0391278,
        0.0380474,
        0.0370794,
        0.0426911,
        0.0424197,
        0.0356426,
        0.0354032,
        0.0352278,
        0.0348353,
        0.0347837,
        0.0345604,
        0.0342333,
        0.0342024,
        0.0341555,
        0.0339095,
        0.0337577,
        0.0338671,
        0.0339397,
        0.0336788,
        0.0336458,
        0.0355786,
        0.0358646,
        0.0338219,
        0.0337636,
        0.0343418,
        0.0351211,
        0.0351252,
        0.0344088,
        0.034134,
        0.0339544,
        0.0336397,
        0.0330582,
        0.0326989,
        0.0327356,
        0.0325305,
        0.0325816,
        0.032318,
        0.0322182,
        0.032386,
        0.0321092,
        0.0323033,
        0.0324335,
        0.0323712,
        0.0323591,
        0.032418,
        0.032614,
        0.0326709,
        0.0325357,
        0.0328435,
        0.0358205,
        0.0361569,
        0.0331787,
        0.033032,
        0.032657,
        0.0329621,
        0.0329698,
        0.0338612,
        0.0338421,
        0.0327784,
        0.0328678,
        0.0329426,
        0.033079,
        0.0330737,
        0.0330785,
        0.033209,
        0.0337121,
        0.0338008,
        0.0332401,
        0.0332603,
        0.0332599,
        0.033541,
        0.0336418,
        0.0332918,
        0.0334672,
        0.0334635,
        0.0337479,
        0.0339229,
        0.0340791,
        0.0339472,
        0.0340075,
        0.0338172,
        0.0335688,
        0.0420759,
        0.0425883,
        0.0332514,
        0.0334689,
        0.0335967,
        0.0334509,
        0.0330678,
        0.0333101,
        0.0336831,
        0.0335298,
        0.0336796,
        0.0340651,
        0.0344078,
        0.0348332,
        0.0354673,
        0.0360439,
        0.0366781,
        0.0375932,
        0.0385334,
        0.039934,
        0.0419115,
        0.0441172,
        0.0459322,
        0.0476002,
        0.0483269,
        0.049279,
        0.0493196,
        0.0506233,
        0.0529494,
        0.0555497,
        0.0597111,
        0.0656707,
        0.0750634,
        0.0881145,
        0.10434,
        0.133769,
        0.177698,
        0.243618,
        0.279546,
        0.215739,
        0.16177,
        0.123208,
        0.098528,
        0.0885631,
        0.0736036,
        0.0635056,
        0.0578126,
        0.0538403,
        0.0505411,
        0.0471913,
        0.0451985,
        0.0434397,
        0.0419716,
        0.0407592,
        0.0398132,
        0.0387645,
        0.0379264,
        0.0370399,
        0.0363471,
        0.0358682,
        0.0352245,
        0.0346132,
        0.0360442,
        0.0359066,
        0.0338095,
        0.0338255,
        0.033432,
        0.033288,
        0.033271,
        0.0333261,
        0.0330816,
        0.0336877,
        0.0335974,
        0.0335039,
        0.0331069,
        0.0328961,
        0.032744,
        0.0322861,
        0.0320625,
        0.0320963,
        0.0320099,
        0.0319978,
        0.0320614,
        0.0320688,
        0.0323249,
        0.0322508,
        0.0325582,
        0.0331358,
        0.0336893,
        0.0326157,
        0.032327,
        0.0326557,
        0.0325843,
        0.0326047,
        0.0324091,
        0.0324503,
        0.0323445,
        0.0321655,
        0.0325466,
        0.0321711,
        0.0320344,
        0.0318905,
        0.0319339,
        0.032143,
        0.0320052,
        0.0319293,
        0.0320528,
        0.0320473,
        0.032079,
        0.0321636,
        0.0319217,
        0.0320438,
        0.0322316,
        0.032058,
        0.0320051,
        0.0321155,
        0.0321088,
        0.0318245,
        0.0322333,
        0.0321248,
        0.0316656,
        0.0315943,
        0.0317097,
        0.0318565,
        0.0320203,
        0.0323148,
        0.0333444,
        0.0341714,
        0.0351583,
        0.0356236,
        0.0361051,
        0.0354069,
        0.0344594,
        0.0338823,
        0.033323,
        0.0325068,
        0.0320997,
        0.0317837,
        0.0316817,
        0.0316344,
        0.0315923,
        0.0316239,
        0.0319518,
        0.0315714,
        0.031642,
        0.0352312,
        0.0351515,
        0.032369,
        0.0318821,
        0.0316644,
        0.0314732,
        0.0317161,
        0.0317542,
        0.0317893,
        0.0318997,
        0.0320399,
        0.0317838,
        0.0317776,
        0.0320809,
        0.0322705,
        0.0325589,
        0.0323143,
        0.0324724,
        0.0324938,
        0.0324338,
        0.0324133,
        0.0327128,
        0.0332036,
        0.0332686,
        0.0332801,
        0.0335402,
        0.0336335,
        0.034322,
        0.0348126,
        0.0346224,
        0.0348472,
        0.035299,
        0.0357811,
        0.0362557,
        0.037036,
        0.0377976,
        0.0384117,
        0.0399489,
        0.0408351,
        0.0457943,
        0.0448308,
        0.0403955,
        0.0400927,
        0.0393186,
        0.0386533,
        0.037458,
        0.0371534,
        0.036761,
        0.0362715,
        0.0362906,
        0.0361943,
        0.0363203,
        0.0365054,
        0.0366856,
        0.0374434,
        0.0381665,
        0.0385185,
        0.0388582,
        0.0396999,
        0.0408836,
        0.0417904,
        0.0438842,
        0.046363,
        0.0487899,
        0.0521738,
        0.0601835,
        0.0653078,
        0.0682837,
        0.0750849,
        0.0867213,
        0.105424,
        0.132469,
        0.170871,
        0.241835,
        0.274934,
        0.185634,
        0.137666,
        0.110358,
        0.10275,
        0.086208,
        0.0664663,
        0.0598883,
        0.0551557,
        0.0535858,
        0.0505262,
        0.0470352,
        0.0455541,
        0.0442003,
        0.0435069,
        0.0435435,
        0.0433959,
        0.0427658,
        0.0421159,
        0.0412349,
        0.0397104,
        0.0377057,
        0.0365334,
        0.0356748,
        0.0348885,
        0.0340757,
        0.0336899,
        0.0333352,
        0.0329369,
        0.0324489,
        0.0329988,
        0.032991,
        0.0331765,
        0.032681,
        0.0327321,
        0.0324938,
        0.0322598,
        0.0325457,
        0.0328763,
        0.0329508,
        0.0324869,
        0.0324138,
        0.0323495,
        0.0326126,
        0.0365571,
        0.0357242,
        0.0334071,
        0.03305,
        0.0329417,
        0.0329454,
        0.0331008,
        0.0337035,
        0.0337015,
        0.0337275,
        0.0336472,
        0.0337674,
        0.0331103,
        0.0326776,
        0.0324441,
        0.0321068,
        0.0321146,
        0.0320667,
        0.0317878,
        0.0316697,
        0.0314589,
        0.0310041,
        0.030965,
        0.0313042,
        0.0314079,
        0.0312758,
        0.0318146,
        0.0318857,
        0.0307894,
        0.0305,
        0.0306841,
        0.0306773,
        0.0305427,
        0.0304157,
        0.0306381,
        0.0306212,
        0.0304865,
        0.0306368,
        0.0306467,
        0.0325667,
        0.0323966,
        0.0303072,
        0.0305017,
        0.0307231,
        0.0307274,
        0.0306841,
        0.0312852,
        0.0339929,
        0.0334079,
        0.0315145,
        0.0317449,
        0.0318077,
        0.0317026,
        0.0318325,
        0.0376193,
        0.0376211,
        0.0317826,
        0.0317048,
        0.0317014,
        0.0318488,
        0.0318748,
        0.0317717,
        0.0362017,
        0.036292,
        0.0351334,
        0.036261,
        0.0322276,
        0.0325003,
        0.0324978,
        0.0326039,
        0.0325569,
        0.0324775,
        0.0327665,
        0.032771,
        0.0326868,
        0.0328132,
        0.0327307,
        0.0327637,
        0.0325855,
        0.0327997,
        0.0330524,
        0.0331119,
        0.0336014,
        0.0341653,
        0.0348863,
        0.0355552,
        0.0361504,
        0.0362454,
        0.0357898,
        0.0350147,
        0.0341895,
        0.0337517,
        0.0331526,
        0.0325111,
        0.0317976,
        0.0318659,
        0.0319305,
        0.0318377,
        0.0319065,
        0.0322804,
        0.0320371,
        0.032126,
        0.0318619,
        0.0318826,
        0.0317129,
        0.0322699,
        0.0323905,
        0.0319239,
        0.0319346,
        0.0325476,
        0.0326408,
        0.0321786,
        0.0323361,
        0.0324916,
        0.0330884,
        0.0332099,
        0.0331716,
        0.0333031,
        0.0335341,
        0.0369075,
        0.0371399,
        0.0333388,
        0.0332916,
        0.0333411,
        0.0336006,
        0.0332088,
        0.0336102,
        0.0339841,
        0.0343712,
        0.0346819,
        0.033869,
        0.0338847,
        0.0339029,
        0.0338271,
        0.0341503,
        0.0341387,
        0.03431,
        0.0346551,
        0.0345054,
        0.0345359,
        0.0352509,
        0.0356353,
        0.0360275,
        0.0361984,
        0.0366408,
        0.0366762,
        0.0371494,
        0.035572,
        0.0354699,
        0.0345143,
        0.0345593,
        0.0367612,
        0.0350791,
        0.0338657,
        0.0364748,
        0.0368271,
        0.0337443,
        0.0335124,
        0.0333728,
        0.0329143,
        0.0385617,
        0.04036,
        0.0325453,
        0.0324056,
        0.0324525,
        0.032479,
        0.0325934,
        0.0321437,
        0.0322244,
        0.032186,
        0.0319228,
        0.0319329,
        0.032067,
        0.0320788,
        0.0321565,
        0.0321706,
        0.0323802,
        0.0323429,
        0.0320115,
        0.032365,
        0.032312,
        0.0325587,
        0.0335349,
        0.0338827,
        0.0327431,
        0.0329945,
        0.0333622,
        0.0335379,
        0.0338946,
        0.0341885,
        0.0361378,
        0.0361596,
        0.0342984,
        0.0347329,
        0.0349208,
        0.0359276,
        0.0363128,
        0.0354508,
        0.0367642,
        0.0379453,
        0.0379681,
        0.0382569,
        0.0380339,
        0.0394647,
        0.038727,
        0.036356,
        0.0357166,
        0.0351792,
        0.0347389,
        0.0340677,
        0.0339499,
        0.0338673,
        0.0337697,
        0.0333109,
        0.0332942,
        0.0335155,
        0.0337373,
        0.0335351,
        0.0338374,
        0.0338237,
        0.0340286,
        0.0341546,
        0.0345,
        0.0349085,
        0.0356287,
        0.0367894,
        0.0379799,
        0.0389547,
        0.0402703,
        0.0414797,
        0.0426465,
        0.0428912,
        0.0421643,
        0.0415955,
        0.0409284,
        0.0399099,
        0.0383613,
        0.0380781,
        0.0375207,
        0.0374562,
        0.0371856,
        0.0364019,
        0.036439,
        0.0367815,
        0.0373575,
        0.0375754,
        0.0377893,
        0.0382481,
        0.038533,
        0.0382723,
        0.0385954,
        0.0382961,
        0.0373989,
        0.036887,
        0.0358709,
        0.0356727,
        0.0354127,
        0.0347917,
        0.0344937,
        0.0343107,
        0.034246,
        0.0340724,
        0.0336672,
        0.0336376,
        0.0372727,
        0.0366342,
        0.0326293,
        0.0325251,
        0.0324354,
        0.0333472,
        0.0330918,
        0.0320644,
        0.0348741,
        0.033393,
        0.0315729,
        0.0310106,
        0.0311173,
        0.0312753,
        0.0321553,
        0.0324923,
        0.0314196,
        0.0310017,
        0.0309819,
        0.0328294,
        0.0327006,
        0.0311777,
        0.0314817,
        0.0317447,
        0.0317741,
        0.0320799,
        0.0317037,
        0.0350878,
        0.0357996,
        0.0321503,
        0.0326509,
        0.032616,
        0.032751,
        0.0329089,
        0.0329622,
        0.0330784,
        0.0337017,
        0.0338711,
        0.0342062,
        0.0342534,
        0.0342828,
        0.034158,
        0.0341739,
        0.0340089,
        0.0343534,
        0.0347541,
        0.0345494,
        0.0349545,
        0.0353701,
        0.0357837,
        0.036361,
        0.0369828,
        0.0378936,
        0.0393727,
        0.0399996,
        0.0405659,
        0.0409712,
        0.0414555,
        0.0417986,
        0.0419779,
        0.0428178,
        0.0441076,
        0.045475,
        0.0466743,
        0.048437,
        0.0519872,
        0.0561579,
        0.0626394,
        0.0721368,
        0.0846447,
        0.0998144,
        0.119132,
        0.163246,
        0.161335,
        0.13803,
        0.129053,
        0.109754,
        0.0923103,
        0.0801395,
        0.0700482,
        0.0619951,
        0.0567639,
        0.0521948,
        0.0486782,
        0.046974,
        0.0451214,
        0.0438851,
        0.0429392,
        0.0423166,
        0.0416156,
        0.0413322,
        0.0411234,
        0.0411918,
        0.0422073,
        0.0433336,
        0.0442403,
        0.0450507,
        0.0463597,
        0.047173,
        0.0490094,
        0.0512201,
        0.0532672,
        0.0577536,
        0.0637265,
        0.0702307,
        0.0815877,
        0.0975697,
        0.118178,
        0.154708,
        0.189812,
        0.198726,
        0.183459,
        0.1467,
        0.130865,
        0.101872,
        0.078169,
        0.0671702,
        0.0602161,
        0.0536804,
        0.0496964,
        0.0466471,
        0.0439758,
        0.0422391,
        0.0405551,
        0.0390907,
        0.037831,
        0.0369919,
        0.0396899,
        0.0374772,
        0.0345139,
        0.0343601,
        0.0337871,
        0.0337264,
        0.0334766,
        0.0329864,
        0.0324027,
        0.0346174,
        0.034321,
        0.0318508,
        0.0315474,
        0.0315987,
        0.0315855,
        0.0317715,
        0.0317063,
        0.0337931,
        0.0332322,
        0.0311588,
        0.0311143,
        0.0315185,
        0.0314668,
        0.0312611,
        0.0317929,
        0.0310413,
        0.031463,
        0.03103,
        0.0313029,
        0.0313643,
        0.0314115,
        0.0317727,
        0.0317471,
        0.0316694,
        0.0316811,
        0.0317996,
        0.0318423,
        0.0315405,
        0.0317309,
        0.0320929,
        0.0323344,
        0.0364212,
        0.0374637,
        0.0326673,
        0.033238,
        0.0333853,
        0.0341042,
        0.0346706,
        0.0342016,
        0.033526,
        0.0332068,
        0.0322156,
        0.0318359,
        0.0316264,
        0.0308745,
        0.0307346,
        0.0304066,
        0.0302542,
        0.0303158,
        0.0320825,
        0.032881,
        0.0300871,
        0.0298322,
        0.0297352,
        0.0295328,
        0.0294852,
        0.0296269,
        0.0295913,
        0.0301037,
        0.0300239,
        0.0293498,
        0.0294566,
        0.0294952,
        0.0294809,
        0.0295218,
        0.0293713,
        0.0296029,
        0.0298351,
        0.0297853,
        0.0305296,
        0.030789,
        0.0301292,
        0.0309955,
        0.0310639,
        0.0307589,
        0.0311399,
        0.0312387,
        0.0311533,
        0.0312654,
        0.0311774,
        0.0312329,
        0.031622,
        0.0315067,
        0.0317444,
        0.0323195,
        0.0321781,
        0.031963,
        0.0327197,
        0.0325311,
        0.0325128,
        0.0327218,
        0.0324565,
        0.0323995,
        0.0323955,
        0.0323775,
        0.0321551,
        0.0322988,
        0.0319498,
        0.0318504,
        0.031901,
        0.0312621,
        0.0310221,
        0.0312018,
        0.0311685,
        0.0311295,
        0.0310077,
        0.0310679,
        0.0312537,
        0.0312032,
        0.0310741,
        0.0314673,
        0.0314313,
        0.0312879,
        0.0314449,
        0.0315118,
        0.0317312,
        0.0316227,
        0.0317149,
        0.0319273,
        0.0339227,
        0.0340455,
        0.0325612,
        0.034525,
        0.0350706,
        0.0341197,
        0.0347709,
        0.0385945,
        0.0390661,
        0.0375206,
        0.0385768,
        0.0392923,
        0.0402761,
        0.0411311,
        0.0419089,
        0.0425383,
        0.0426239,
        0.0429064,
        0.0435906,
        0.0439845,
        0.044881,
        0.0459241,
        0.0473098,
        0.048332,
        0.0504323,
        0.0537333,
        0.0580556,
        0.0619403,
        0.0676329,
        0.077961,
        0.0888364,
        0.10433,
        0.125535,
        0.153275,
        0.203431,
        0.272812,
        0.325743,
        0.231966,
        0.169629,
        0.13341,
        0.110078,
        0.092334,
        0.079732,
        0.0701187,
        0.0644968,
        0.0591846,
        0.0544755,
        0.0510519,
        0.0478182,
        0.0455083,
        0.0438542,
        0.0419003,
        0.0407131,
        0.0395448,
        0.038572,
        0.0378967,
        0.0369471,
        0.0360177,
        0.0356299,
        0.0353303,
        0.0350184,
        0.0345938,
        0.0338778,
        0.0338157,
        0.0341952,
        0.0340696,
        0.0335976,
        0.0336739,
        0.0338999,
        0.0335124,
        0.0328879,
        0.0333727,
        0.0331516,
        0.0328633,
        0.0325815,
        0.0328583,
        0.0325848,
        0.0324449,
        0.0360015,
        0.0380657,
        0.0326452,
        0.0329466,
        0.0336494,
        0.0341687,
        0.0330804,
        0.0325529,
        0.0324491,
        0.0325614,
        0.0326493,
        0.0325951,
        0.0326261,
        0.0324686,
        0.0327833,
        0.0346809,
        0.0347541,
        0.0334814,
        0.0334411,
        0.0333544,
        0.0333649,
        0.0337848,
        0.0342854,
        0.0349557,
        0.0350135,
        0.0354905,
        0.0367294,
        0.0375683,
        0.0381563,
        0.0397539,
        0.0408138,
        0.0417901,
        0.0419067,
        0.0421201,
        0.0419843,
        0.0411609,
        0.0400245,
        0.0385638,
        0.0378019,
        0.0409567,
        0.0399327,
        0.0356681,
        0.03466,
        0.034374,
        0.0338309,
        0.033464,
        0.0332526,
        0.0329013,
        0.0327934,
        0.0323387,
        0.0321099,
        0.0316889,
        0.0318064,
        0.0318358,
        0.031727,
        0.0316513,
        0.031636,
        0.0314954,
        0.031341,
        0.0312281,
        0.0312891,
        0.0312522,
        0.0314579,
        0.0309949,
        0.0311387,
        0.031162,
        0.0313754,
        0.0315847,
        0.0314922,
        0.0315903,
        0.0316866,
        0.0319416,
        0.0318549,
        0.03246,
        0.032964,
        0.0332032,
        0.0337854,
        0.0338671,
        0.0337129,
        0.0345503,
        0.0348489,
        0.0338148,
        0.0346146,
        0.0339195,
        0.0337447,
        0.0327935,
        0.0327195,
        0.0325116,
        0.0320438,
        0.0319041,
        0.0318376,
        0.0311887,
        0.0312081,
        0.031379,
        0.0312179,
        0.031049,
        0.0308733,
        0.0304712,
        0.0305688,
        0.0310751,
        0.0315929,
        0.03121,
        0.030832,
        0.0305429,
        0.0305241,
        0.0307331,
        0.0303675,
        0.030367,
        0.0305256,
        0.0304913,
        0.0304282,
        0.0304376,
        0.0305068,
        0.0357254,
        0.0358535,
        0.0307478,
        0.0307016,
        0.0312875,
        0.0360298,
        0.035403,
        0.0324268,
        0.0330736,
        0.0333681,
        0.0336338,
        0.0339597,
        0.0338224,
        0.0331123,
        0.0330059,
        0.0347796,
        0.0340668,
        0.0321202,
        0.0330408,
        0.0332397,
        0.0323867,
        0.0322915,
        0.0321862,
        0.0318596,
        0.0322738,
        0.0328327,
        0.0316722,
        0.0320757,
        0.0320235,
        0.0320482,
        0.0321945,
        0.0325272,
        0.0326892,
        0.0325147,
        0.0327601,
        0.0322422,
        0.0321496,
        0.0320825,
        0.0319453,
        0.0320947,
        0.0316065,
        0.0314496,
        0.0316245,
        0.0336869,
        0.0332293,
        0.0308926,
        0.0309945,
        0.0310303,
        0.0307214,
        0.0307394,
        0.0309272,
        0.030811,
        0.0305585,
        0.0305437,
        0.0306947,
        0.0304429,
        0.0306485,
        0.0308663,
        0.0308374,
        0.030982,
        0.0309415,
        0.0310104,
        0.0309117,
        0.0314224,
        0.0356734,
        0.0334491,
        0.0310473,
        0.0309537,
        0.0316614,
        0.0319188,
        0.0318168,
        0.0315039,
        0.0316386,
        0.0319756,
        0.0321312,
        0.0323019,
        0.0320482,
        0.032121,
        0.0322938,
        0.032408,
        0.0328847,
        0.0323488,
        0.0322372,
        0.0329799,
        0.0335333,
        0.0332848,
        0.0334905,
        0.0337573,
        0.0343539,
        0.0348609,
        0.0347678,
        0.0348766,
        0.0349283,
        0.0350972,
        0.0348377,
        0.0344732,
        0.0341533,
        0.0339185,
        0.0335599,
        0.0335373,
        0.0335426,
        0.0335216,
        0.0330678,
        0.0325691,
        0.0328741,
        0.0322269,
        0.0323912,
        0.0322254,
        0.0320371,
        0.0318798,
        0.032078,
        0.0318842,
        0.0316916,
        0.0316819,
        0.0316526,
        0.031717,
        0.0315027,
        0.0313765,
        0.0315513,
        0.031889,
        0.0317873,
        0.0315686,
        0.0318464,
        0.0326842,
        0.0344526,
        0.0319213,
        0.0317337,
        0.0317025,
        0.0322151,
        0.0323605,
        0.0321922,
        0.0320147,
        0.0318239,
        0.0319429,
        0.0320207,
        0.0320939,
        0.0324396,
        0.0323485,
        0.0327944,
        0.0329836,
        0.033082,
        0.0330952,
        0.0334615,
        0.0332091,
        0.0333229,
        0.0333185,
        0.0336017,
        0.0338133,
        0.0331403,
        0.0335502,
        0.0334499,
        0.0333729,
        0.0333201,
        0.0362039,
        0.0356093,
        0.0337145,
        0.0334944,
        0.0336825,
        0.0334101,
        0.0330922,
        0.0331352,
        0.0327141,
        0.0330414,
        0.0332216,
        0.0332458,
        0.0331901,
        0.0329674,
        0.0334998,
        0.0337521,
        0.0345061,
        0.0337747,
        0.0340038,
        0.0342169,
        0.0340972,
        0.0338377,
        0.0337633,
        0.0333148,
        0.0331121,
        0.0337188,
        0.0335232,
        0.0339238,
        0.0336735,
        0.0392555,
        0.0395305,
        0.0333658,
        0.0330161,
        0.0328039,
        0.0330898,
        0.0334622,
        0.033432,
        0.03317,
        0.0336913,
        0.0339646,
        0.0342591,
        0.0342454,
        0.0345384,
        0.0343183,
        0.0346365,
        0.0347887,
        0.035628,
        0.0353936,
        0.0352496,
        0.0352159,
        0.0398908,
        0.0518653,
        0.0434433,
        0.0359899,
        0.0364333,
        0.0367863,
        0.0367883,
        0.0375328,
        0.0378004,
        0.0395966,
        0.0407211,
        0.0404126,
        0.0395087,
        0.0405607,
        0.041423,
        0.0430485,
        0.0435473,
        0.0438098,
        0.0449904,
        0.0445847,
        0.0442094,
        0.042891,
        0.0415937,
        0.0407787,
        0.0405425,
        0.0396829,
        0.039258,
        0.0388141,
        0.0381727,
        0.0372088,
        0.0371314,
        0.0367033,
        0.0364875,
        0.0355282,
        0.0358799,
        0.0359581,
        0.0349891,
        0.0352615,
        0.0350257,
        0.0349908,
        0.0348826,
        0.0346304,
        0.0344618,
        0.0355111,
        0.0354049,
        0.0345031,
        0.0345829,
        0.0340741,
        0.034335,
        0.0343115,
        0.034937,
        0.0351058,
        0.0349142,
        0.0344291,
        0.0346721,
        0.0411289,
        0.0414604,
        0.0348933,
        0.0353191,
        0.035325,
        0.0352962,
        0.0355295,
        0.035641,
        0.0359841,
        0.0359395,
        0.0358414,
        0.0360549,
        0.0364917,
        0.0359637,
        0.0367281,
        0.0366311,
        0.0396489,
        0.0412433,
        0.0362904,
        0.0374291,
        0.0376735,
        0.0372623,
        0.037614,
        0.0369175,
        0.0368408,
        0.0372778,
        0.0371863,
        0.037294,
        0.0370103,
        0.0370889,
        0.0373993,
        0.036824,
        0.0370941,
        0.0377992,
        0.0371154,
        0.0364503,
        0.0363304,
        0.0368374,
        0.0367505,
        0.037131,
        0.0373967,
        0.0373582,
        0.0374407,
        0.0374182,
        0.0376926,
        0.0379524,
        0.0381809,
        0.0393472,
        0.0391372,
        0.0384862,
        0.0407436,
        0.0430338,
        0.0384135,
        0.0379715,
        0.038,
        0.0380705,
        0.0384187,
        0.0380582,
        0.037703,
        0.0379465,
        0.0376749,
        0.0382263,
        0.0382653,
        0.0378166,
        0.0373536,
        0.0376961,
        0.037688,
        0.0378759,
        0.0375842,
        0.03782,
        0.0386541,
        0.0392711,
        0.0388854,
        0.0389397,
        0.0390855,
        0.038762,
        0.0387501,
        0.0387711,
        0.0391479,
        0.0394577,
        0.0391574,
        0.0398226,
        0.0400025,
        0.0405543,
        0.0405063,
        0.0402329,
        0.040604,
        0.0406608,
        0.0407223,
        0.0410872,
        0.0410974,
        0.0413545,
        0.0413973,
        0.0411418,
        0.0413873,
        0.0408579,
        0.0407038,
        0.0404974,
        0.0402645,
        0.040454,
        0.0393018,
        0.0385829,
        0.0390368,
        0.0390937,
        0.0385113,
        0.0384694,
        0.0384904,
        0.0390703,
        0.04413,
        0.042034,
        0.0388554,
        0.0385217,
        0.0388556,
        0.0389227,
        0.0388653,
        0.0392243,
        0.0400624,
        0.0399456,
        0.040511,
        0.0424274,
        0.039024,
        0.0385163,
        0.0393176,
        0.0393435,
        0.0397281,
        0.0396653,
        0.0394249,
        0.0395918,
        0.0404103,
        0.0411371,
        0.0413684,
        0.041931,
        0.0426768,
        0.042823,
        0.0439311,
        0.043774,
        0.0436744,
        0.0458771,
        0.0451015,
        0.0423713,
        0.0421172,
        0.0419011,
        0.0426168,
        0.0418578,
        0.0472243,
        0.0485157,
        0.0428709,
        0.0427047,
        0.0428491,
        0.0490049,
        0.0501215,
        0.0446409,
        0.0446253,
        0.0443319,
        0.0432887,
        0.0439632,
        0.0432284,
        0.0432698,
        0.042797,
        0.0425697,
        0.0506373,
        0.0501594,
        0.0422917,
        0.0416519,
        0.0412539,
        0.0411145,
        0.0413884,
        0.0418266,
        0.0407634,
        0.0406935,
        0.0407405,
        0.0405127,
        0.0402285,
        0.0448084,
        0.0451832,
        0.0397693,
        0.0403174,
        0.0404198,
        0.0399531,
        0.0399265,
        0.0401902,
        0.0397951,
        0.0400095,
        0.0403561,
        0.0412444,
        0.0409748,
        0.0405657,
        0.0406551,
        0.0409608,
        0.0420338,
        0.0412423,
        0.040527,
        0.0407755,
        0.040675,
        0.0410072,
        0.0407627,
        0.0414747,
        0.0421597,
        0.0416191,
        0.0414451,
        0.0419224,
        0.0422443,
        0.0425036,
        0.0424653,
        0.0433396,
        0.0433475,
        0.0427187,
        0.0430924,
        0.0429624,
        0.04329,
        0.0436861,
        0.0429263,
        0.0437843,
        0.0450159,
        0.0465896,
        0.0437888,
        0.0439758,
        0.0438992,
        0.0441196,
        0.0452232,
        0.0445538,
        0.0442428,
        0.0446254,
        0.0450349,
        0.0456356,
        0.0454314,
        0.0453261,
        0.0455884,
        0.0531601,
        0.049011,
        0.0444207,
        0.0449115,
        0.0444772,
        0.0445945,
        0.0444234,
        0.0445739,
        0.0440449,
        0.0442557,
        0.0442849,
        0.0453328,
        0.0448401,
        0.0450123,
        0.0460039,
        0.048375,
        0.0483441,
        0.0461107,
        0.0464066,
        0.048721,
        0.0520221,
        0.0471892,
        0.047791,
        0.048678,
        0.0496073,
        0.050943,
        0.0536061,
        0.0603331,
        0.0611252,
        0.0624327,
        0.0640134,
        0.0662857,
        0.0631886,
        0.0607949,
        0.0587109,
        0.0577659,
        0.0538694,
        0.0528154,
        0.0517053,
        0.0515293,
        0.0512541,
        0.0514911,
        0.0509722,
        0.0508488,
        0.0517441,
        0.0521331,
        0.0520524,
        0.0525847,
        0.0527938,
        0.0528125,
        0.0543519,
        0.056239,
        0.0609946,
        0.0619966,
        0.0564306,
        0.0586986,
        0.0593,
        0.060656,
        0.06234,
        0.0645581,
        0.066684,
        0.0706325,
        0.0742307,
        0.0795154,
        0.0852185,
        0.0943423,
        0.106908,
        0.125807,
        0.147179,
        0.186576,
        0.235808,
        0.270218,
        0.326037,
        0.417295,
        0.298491,
        0.259173,
        0.245418,
        0.253147,
        0.27883,
        0.304079,
        0.45771,
        0.368578,
        0.253792,
        0.196894,
        0.156675,
        0.135021,
        0.116379,
        0.103148,
        0.0943664,
        0.0897948,
        0.0827255,
        0.0761226,
        0.0731522,
        0.0702259,
        0.0689156,
        0.0667236,
        0.0651175,
        0.0631943,
        0.0630547,
        0.0618612,
        0.0617452,
        0.0602232,
        0.05969,
        0.0595343,
        0.0586839,
        0.05867,
        0.0565745,
        0.0554524,
        0.0548053,
        0.0538032,
        0.0541805,
        0.0551217,
        0.0558692,
        0.0570338,
        0.0555194,
        0.051909,
        0.05176,
        0.0520964,
        0.0513961,
        0.0508987,
        0.0515969,
        0.0505923,
        0.0497379,
        0.0497891,
        0.0493853,
        0.0489469,
        0.0487568,
        0.0480217,
        0.0475382,
        0.0477602,
        0.0477697,
        0.0473087,
        0.0471565,
        0.0468768,
        0.0466655,
        0.0472594,
        0.0472665,
        0.0469131,
        0.047102,
        0.0470694,
        0.0479863,
        0.0498179,
        0.0471816,
        0.0467116,
        0.0462474,
        0.0462358,
        0.045986,
        0.0459875,
        0.0465008,
        0.0466358,
        0.0463849,
        0.0465026,
        0.0467006,
        0.0466176,
        0.0467696,
        0.0466889,
        0.046656,
        0.047639,
        0.0468787,
        0.0475267,
        0.0507795,
        0.0506222,
        0.0479087,
        0.0495911,
        0.0487862,
        0.0479779,
        0.0481698,
        0.0488509,
        0.0489715,
        0.0490673,
        0.0493884,
        0.0488209,
        0.0492292,
        0.0487217,
        0.0493711,
        0.0490835,
        0.0489782,
        0.0493721,
        0.0500707,
        0.0490145,
        0.0493145,
        0.0492072,
        0.0500749,
        0.0502184,
        0.050559,
        0.0497291,
        0.0501737,
        0.0502623,
        0.0500458,
        0.0567977,
        0.053277,
        0.0502469,
        0.0507424,
        0.0512234,
        0.0513951,
        0.0515683,
        0.0516588,
        0.0521907,
        0.0524417,
        0.0530934,
        0.0538798,
        0.0543828,
        0.0557639,
        0.0570073,
        0.0566347,
        0.058825,
        0.0609509,
        0.0642192,
        0.0656253,
        0.0687819,
        0.0731043,
        0.0784657,
        0.0871955,
        0.0975858,
        0.11016,
        0.123794,
        0.14215,
        0.160452,
        0.170624,
        0.164261,
        0.150515,
        0.131576,
        0.118105,
        0.103753,
        0.0937363,
        0.0860279,
        0.0788116,
        0.0754944,
        0.0707171,
        0.068295,
        0.0666024,
        0.0653254,
        0.0621403,
        0.0616111,
        null,
        0.0467231,
        0.0469005,
        0.0467477,
        0.0470602,
        0.0477825,
        0.0485483,
        0.0490894,
        0.0490284,
        0.0492335,
        0.0498281,
        0.0503849,
        0.0507156,
        0.0511757,
        0.0516531,
        0.0523977,
        0.0529569,
        0.0541813,
        0.054987,
        0.0566426,
        0.0578505,
        0.0597257,
        0.0620034,
        0.0650126,
        0.067601,
        0.0705682,
        0.0767121,
        0.0817734,
        0.0880867,
        0.0980598,
        0.112905,
        0.134009,
        0.169602,
        0.224811,
        0.301088,
        0.271291,
        0.202908,
        0.159863,
        0.131521,
        0.112918,
        0.103187,
        0.0948053,
        0.0858132,
        0.0795127,
        0.0735392,
        0.0698687,
        0.0662989,
        0.0628432,
        0.0605667,
        0.0579408,
        0.0562825,
        0.0551182,
        0.0534847,
        0.0522952,
        0.0518062,
        0.0511152,
        0.0507385,
        0.0508998,
        0.0506187,
        0.0494517,
        0.0489042,
        0.0487591,
        0.0557047,
        0.0562657,
        0.0486225,
        0.0483193,
        0.048462,
        0.0484343,
        0.0485069,
        0.0484648,
        0.0487029,
        0.0491817,
        0.0495519,
        0.0502744,
        0.0511069,
        0.0524035,
        0.0578523,
        0.0592777,
        0.0575022,
        0.059622,
        0.06298,
        0.067061,
        0.0730941,
        0.080925,
        0.0909839,
        0.108976,
        0.128066,
        0.167161,
        0.239174,
        0.371835,
        0.303673,
        0.209257,
        0.156791,
        0.126803,
        0.104662,
        0.0883461,
        0.0783063,
        0.0711248,
        0.0648512,
        0.0607952,
        0.0572308,
        0.0543928,
        0.0519456,
        0.0501055,
        0.0490684,
        0.0479672,
        0.0465115,
        0.045298,
        0.0447821,
        0.0441784,
        0.0432384,
        0.0425269,
        0.0421992,
        0.0417425,
        0.0412721,
        0.0408486,
        0.0402798,
        0.0398796,
        0.0395426,
        0.0394679,
        0.0389427,
        0.038926,
        0.0386042,
        0.0383798,
        0.0383779,
        0.0382347,
        0.0379743,
        0.0378075,
        0.0376081,
        0.0372064,
        0.0369104,
        0.0367703,
        0.0365353,
        0.0366728,
        0.0363664,
        0.0362821,
        0.0363778,
        0.0362848,
        0.0358348,
        0.0354,
        0.0355048,
        0.0355527,
        0.0353654,
        0.0351625,
        0.0350977,
        0.0351122,
        0.0353684,
        0.0351792,
        0.0350085,
        0.035183,
        0.0353339,
        0.0354707,
        0.035031,
        0.0350471,
        0.0351914,
        0.0353521,
        0.0354609,
        0.0355556,
        0.0354427,
        0.0356111,
        0.0354382,
        0.0355008,
        0.0355238,
        0.0357342,
        0.0357208,
        0.0362817,
        0.0364366,
        0.0360694,
        0.035826,
        0.0367321,
        0.0370244,
        0.0356903,
        0.0357243,
        0.0355576,
        0.0353227,
        0.0365023,
        0.046088,
        0.0411187,
        0.0348615,
        0.0346131,
        0.0356919,
        0.0357853,
        0.0347147,
        0.0348719,
        0.0346158,
        0.0345434,
        0.0346241,
        0.0346036,
        0.0348036,
        0.0349242,
        0.0351604,
        0.0351887,
        0.0349134,
        0.0349369,
        0.0346527,
        0.0346984,
        0.0347151,
        0.0346299,
        0.0347019,
        0.0347753,
        0.0352794,
        0.0357782,
        0.0363473,
        0.0364398,
        0.0368174,
        0.0371982,
        0.0369886,
        0.0362374,
        0.0371433,
        0.0366724,
        0.0355375,
        0.0357687,
        0.0360468,
        0.0363459,
        0.0367243,
        0.0371504,
        0.0380021,
        0.0387562,
        0.0461313,
        0.0460765,
        0.0395131,
        0.0402279,
        0.0387267,
        0.0438986,
        0.043036,
        0.0356614,
        0.0348932,
        0.03449,
        0.0343391,
        0.0340766,
        0.0340516,
        0.0338313,
        0.0339723,
        0.0337412,
        0.0334977,
        0.0337118,
        0.0334033,
        0.0334128,
        0.0335695,
        0.0333357,
        0.0333895,
        0.0333545,
        0.0330379,
        0.0328759,
        0.0326822,
        0.033253,
        0.0375562,
        0.0366282,
        0.0328324,
        0.0327497,
        0.0327811,
        0.0327142,
        0.0327069,
        0.0327176,
        0.0325543,
        0.0329266,
        0.0331754,
        0.0331087,
        0.0332214,
        0.033265,
        0.0330568,
        0.0328353,
        0.0322948,
        0.0322503,
        0.0322793,
        0.0323251,
        0.0327098,
        0.0330924,
        0.0332283,
        0.0333079,
        0.0333686,
        0.0375792,
        0.0379736,
        0.0338692,
        0.0343434,
        0.0343027,
        0.0341487,
        0.0337633,
        0.0334377,
        0.033212,
        0.0332666,
        0.0331462,
        0.0329176,
        0.033207,
        0.0330291,
        0.033103,
        0.033178,
        0.0330184,
        0.0331137,
        0.0333548,
        0.0331306,
        0.0329923,
        0.0332892,
        0.0334409,
        0.0329625,
        0.0325812,
        0.0323448,
        0.0323536,
        0.0323767,
        0.0333879,
        0.0338124,
        0.034779,
        0.0353123,
        0.0338931,
        0.0336299,
        0.0331156,
        0.0328243,
        0.0328844,
        0.0324236,
        0.0323814,
        0.0345271,
        0.0333122,
        0.0318659,
        0.0322572,
        0.0322451,
        0.0320878,
        0.0324227,
        0.0322457,
        0.0319535,
        0.0319592,
        0.0317826,
        0.0319513,
        0.0323699,
        0.0322478,
        0.0321356,
        0.0319976,
        0.0319754,
        0.0323156,
        0.0321233,
        0.0318695,
        0.0319021,
        0.0318604,
        0.0320212,
        0.032489,
        0.0325749,
        0.0329738,
        0.0331966,
        0.0336319,
        0.0341043,
        0.0344215,
        0.0351266,
        0.0351597,
        0.0350603,
        0.0349316,
        0.0350034,
        0.0335175,
        0.0325935,
        0.0319554,
        0.0322737,
        0.0384958,
        0.0384741,
        0.0321709,
        0.0319947,
        0.0381188,
        0.0377726,
        0.0322066,
        0.0329532,
        0.0338015,
        0.0339181,
        0.0337091,
        0.0335928,
        0.0328031,
        0.0322607,
        0.0336676,
        0.0338335,
        0.0324264,
        0.0323341,
        0.0321474,
        0.0329454,
        0.0329073,
        0.0325024,
        0.0329795,
        0.0339676,
        0.03439,
        0.0337908,
        0.0332019,
        0.0326362,
        0.0321774,
        0.0323158,
        0.0324463,
        0.0319571,
        0.0320867,
        0.0320935,
        0.0322344,
        0.032142,
        0.0320667,
        0.03252,
        0.0330351,
        0.0332772,
        0.0330879,
        0.0337894,
        0.0339878,
        0.0329344,
        0.0333379,
        0.0338395,
        0.0344979,
        0.0332718,
        0.0324762,
        0.0320668,
        0.0319461,
        0.0348345,
        0.033872,
        0.0316458,
        0.0316925,
        0.031809,
        0.0321524,
        0.0322122,
        0.0320854,
        0.0317612,
        0.0315281,
        0.0314018,
        0.031424,
        0.0313228,
        0.031844,
        0.0330116,
        0.0342871,
        0.0397662,
        0.0399787,
        0.0347856,
        0.033764,
        0.0324529,
        0.0320511,
        0.03292,
        0.0338305,
        0.0345761,
        0.0346432,
        0.0338747,
        0.0329926,
        0.0322199,
        0.0326278,
        0.033465,
        0.033739,
        0.0339979,
        0.0337954,
        0.0332763,
        0.0329647,
        0.0393924,
        0.0394071,
        0.0333619,
        0.033097,
        0.0326876,
        0.0324983,
        0.0324279,
        0.0328844,
        0.0339428,
        0.033936,
        0.0339872,
        0.0335513,
        0.0334523,
        0.0328359,
        0.0328563,
        0.0332212,
        0.0337909,
        0.0339186,
        0.0337206,
        0.0337805,
        0.0337519,
        0.0341075,
        0.0335691,
        0.0334226,
        0.0337957,
        0.0351713,
        0.0345273,
        0.0334616,
        0.0339734,
        0.0343975,
        0.0350725,
        0.0362381,
        0.037041,
        0.0369006,
        0.0362008,
        0.0352949,
        0.0348614,
        0.0345868,
        0.0357449,
        0.0367993,
        0.0372647,
        0.0374957,
        0.0367157,
        0.0357066,
        0.0348331,
        0.0349332,
        0.0349534,
        0.0352711,
        0.0358519,
        0.0363127,
        0.0372407,
        0.0385079,
        0.0389492,
        0.0393854,
        0.0397972,
        0.04076,
        0.0425309,
        0.0449827,
        0.0488594,
        0.0531696,
        0.0646855,
        0.0692806,
        0.0653178,
        0.0713191,
        0.0784968,
        0.0875657,
        0.0984278,
        0.110424,
        0.129013,
        0.160451,
        0.217629,
        0.305749,
        0.345502,
        0.2298,
        0.163836,
        0.129542,
        0.102891,
        0.0898555,
        0.0781456,
        0.0692201,
        0.0629582,
        0.0579556,
        0.0552079,
        0.0533631,
        0.0522165,
        0.0518648,
        0.0516407,
        0.0525696,
        0.0524837,
        0.0471745,
        0.0435677,
        0.0409477,
        0.0390727,
        0.038137,
        0.0380701,
        0.037826,
        0.0375704,
        0.0367897,
        0.0358394,
        0.0353271,
        0.0348845,
        0.0352304,
        0.0363923,
        0.0369849,
        0.0373343,
        0.0368933,
        0.0355479,
        0.0342896,
        0.033074,
        0.0323172,
        0.0322482,
        0.0321895,
        0.0326741,
        0.0330122,
        0.0338387,
        0.0343334,
        0.0343721,
        0.0345078,
        0.0340879,
        0.0338242,
        0.0338947,
        0.0341803,
        0.0341653,
        0.0347278,
        0.0346813,
        0.034067,
        0.0336942,
        0.0342401,
        0.0353916,
        0.0364208,
        0.0364472,
        0.0362156,
        0.0357781,
        0.0362187,
        0.0377325,
        0.0397288,
        0.0451728,
        0.0447895,
        0.0423852,
        0.0415316,
        0.0416626,
        0.0426918,
        0.0434817,
        0.0445391,
        0.0445189,
        0.0433166,
        0.0434076,
        0.0438053,
        0.0420496,
        0.0410189,
        0.0411626,
        0.0390998,
        0.0364246,
        0.0347767,
        0.0328636,
        0.031773,
        0.0316435,
        0.0318338,
        0.0378255,
        0.0387352,
        0.0341586,
        0.0347835,
        0.0350712,
        0.0342736,
        0.0332089,
        0.0317849,
        0.0313716,
        0.031679,
        0.0318337,
        0.031998,
        0.0320587,
        0.0321333,
        0.0326733,
        0.0333221,
        0.0350546,
        0.0372733,
        0.0348647,
        0.0334098,
        0.0326967,
        0.032348,
        0.0331286,
        0.03423,
        0.0344478,
        0.0345263,
        0.0338476,
        0.0336333,
        0.0351499,
        0.0372186,
        0.0368795,
        0.0378913,
        0.0389896,
        0.0397837,
        0.0395324,
        0.0355549,
        0.0335542,
        0.0323397,
        0.0318822,
        0.0316567,
        0.0311059,
        0.0310076,
        0.0311466,
        0.0313069,
        0.0317849,
        0.0322529,
        0.0322501,
        0.0315578,
        0.0311522,
        0.0303657,
        0.0301294,
        0.031721,
        0.0320841,
        0.0303207,
        0.030298,
        0.0311234,
        0.031969,
        0.0331431,
        0.0338783,
        0.0345198,
        0.0345825,
        0.0344596,
        0.0345242,
        0.0345829,
        0.0345782,
        0.0344756,
        0.0356099,
        0.0417206,
        0.0463536,
        0.0465034,
        0.0458186,
        0.0438775,
        0.0424921,
        0.0405788,
        0.0408408,
        0.0424238,
        0.0408173,
        0.0384225,
        0.0361223,
        0.0355053,
        0.0366305,
        0.0388632,
        0.0412262,
        0.0421755,
        0.0416564,
        0.0393969,
        0.035963,
        0.0341388,
        0.0332487,
        0.0325029,
        0.0323058,
        0.0322387,
        0.0322943,
        0.0322652,
        0.0326506,
        0.0329157,
        0.0337536,
        0.0352335,
        0.0364598,
        0.0383883,
        0.0401992,
        0.040596,
        0.0406721,
        0.0397102,
        0.0388459,
        0.0395242,
        0.0411165,
        0.0422774,
        0.0415233,
        0.0400889,
        0.0391961,
        0.0380144,
        0.0377859,
        0.0391091,
        0.0411008,
        0.0439872,
        0.0477416,
        0.0531221,
        0.0623028,
        0.0727154,
        0.0865348,
        0.10315,
        0.126693,
        0.135187,
        0.132959,
        0.143562,
        0.153395,
        0.154356,
        0.167775,
        0.183177,
        0.198023,
        0.19495,
        0.18238,
        0.163518,
        0.151004,
        0.136596,
        0.129883,
        0.127134,
        0.123113,
        0.117077,
        0.112886,
        0.114283,
        0.115192,
        0.116896,
        0.125073,
        0.125148,
        0.119746,
        0.117614,
        0.121462,
        0.118161,
        0.113329,
        0.0993543,
        0.0904882,
        0.0870588,
        0.0840855,
        0.0897918,
        0.089169,
        0.0832649,
        0.0847116,
        0.0862945,
        0.0879906,
        0.0824757,
        0.077341,
        0.0718703,
        0.0676605,
        0.0658575,
        0.0685623,
        0.0759799,
        0.0828824,
        0.0868958,
        0.0878386,
        0.0803466,
        0.0734014,
        0.0768275,
        0.0708858,
        0.0602539,
        0.0569225,
        0.0552934,
        0.0525122,
        0.057767,
        0.0566717,
        0.0496355,
        0.0505042,
        0.0519656,
        0.0549273,
        0.0576244,
        0.0610243,
        0.0646783,
        0.0650459,
        0.0632116,
        0.0614709,
        0.0602464,
        0.0611418,
        0.0647301,
        0.0692333,
        0.0692453,
        0.0655478,
        0.0593206,
        0.0533234,
        0.0493437,
        0.0477565,
        0.0477784,
        0.0471324,
        0.0459545,
        0.0443857,
        0.0426465,
        0.041978,
        0.0422419,
        0.0421016,
        0.0426329,
        0.0428164,
        0.0440091,
        0.0438106,
        0.0428199,
        0.0420462,
        0.0419789,
        0.0431069,
        0.0449356,
        0.04554,
        0.0452704,
        0.042667,
        0.0405792,
        0.0391517,
        0.0418336,
        0.0445131,
        0.0452158,
        0.0468942,
        0.0472455,
        0.0453842,
        0.0419207,
        0.039279,
        0.0388792,
        0.0399367,
        0.039241,
        0.0410537,
        0.0420345,
        0.0432898,
        0.0444945,
        0.0445085,
        0.0430945,
        0.041313,
        0.039369,
        0.0373026,
        0.0366223,
        0.0375401,
        0.0422158,
        0.0450606,
        0.0434535,
        0.0421927,
        0.040385,
        0.0382269,
        0.0363256,
        0.0357081,
        0.0362666,
        0.0366433,
        0.0360042,
        0.0352229,
        0.0345774,
        0.034148,
        0.0350626,
        0.0381058,
        0.0431231,
        0.0491802,
        0.0549884,
        0.0581195,
        0.0550621,
        0.0506644,
        0.051322,
        0.0486904,
        0.0480482,
        0.0525498,
        0.0554831,
        0.0536687,
        0.047661,
        0.0418071,
        0.0375534,
        0.0357083,
        0.0348672,
        0.034384,
        0.0341659,
        0.0349616,
        0.0371982,
        0.0415812,
        0.0448047,
        0.045888,
        0.044236,
        0.040076,
        0.0372054,
        0.0367812,
        0.0384316,
        0.038681,
        0.0378184,
        0.0369021,
        0.0353946,
        0.0349268,
        0.0353297,
        0.0358685,
        0.0367752,
        0.0460248,
        0.0502352,
        0.0451706,
        0.0451838,
        0.0430831,
        0.039523,
        0.0356963,
        0.0335098,
        0.0330885,
        0.032667,
        0.0325775,
        0.0332271,
        0.0339291,
        0.0345273,
        0.035258,
        0.0374186,
        0.0420978,
        0.0491355,
        0.0539773,
        0.0548027,
        0.050176,
        0.0433656,
        0.038629,
        0.0366814,
        0.0367899,
        0.0364261,
        0.0368812,
        0.0371438,
        0.0412997,
        0.0429358,
        0.0403443,
        0.0446954,
        0.0484171,
        0.0492386,
        0.0518554,
        0.0521923,
        0.0552363,
        0.0625589,
        0.0694132,
        0.0729754,
        0.0703572,
        0.068084,
        0.0682255,
        0.0714432,
        0.0877765,
        0.104423,
        0.111803,
        0.122496,
        0.128055,
        0.134156,
        0.154993,
        0.198841,
        0.28865,
        0.332627,
        0.24566,
        0.177032,
        0.1348,
        0.110496,
        0.094894,
        0.0819377,
        0.0799041,
        0.0778775,
        0.0832424,
        0.0790753,
        0.0737821,
        0.0652353,
        0.0565758,
        0.0502619,
        0.0480963,
        0.0485239,
        0.0512543,
        0.0539594,
        0.0553917,
        0.0579064,
        0.0595042,
        0.0587039,
        0.0594228,
        0.0619083,
        0.060973,
        0.0583924,
        0.0546287,
        0.0522337,
        0.0512324,
        0.0557208,
        0.0557505,
        0.0541806,
        0.0501882,
        0.0448094,
        0.0403246,
        0.0375255,
        0.0362428,
        0.0359783,
        0.0358403,
        0.0353533,
        0.0351592,
        0.0351728,
        0.0348054,
        0.0347829,
        0.0346527,
        0.0339664,
        0.0335741,
        0.0332375,
        0.0335188,
        0.0336741,
        0.0338956,
        0.0344784,
        0.0356454,
        0.0374905,
        0.0411143,
        0.045659,
        0.0479304,
        0.0467276,
        0.0466112,
        0.0474264,
        0.0479749,
        0.0472579,
        0.0445885,
        0.0397605,
        0.0364811,
        0.0341141,
        0.0338969,
        0.0341701,
        0.0355713,
        0.0389486,
        0.0511115,
        0.0760559,
        0.091336,
        0.0796392,
        0.0814069,
        0.0720297,
        0.0621564,
        0.0569558,
        0.0548251,
        0.0603678,
        0.0627261,
        0.0632867,
        0.0624263,
        0.0566255,
        0.0500621,
        0.044242,
        0.0390819,
        0.0353821,
        0.0342622,
        0.034104,
        0.0340636,
        0.0340288,
        0.0337283,
        0.0330734,
        0.0328727,
        0.0327303,
        0.0326854,
        0.0327712,
        0.0327288,
        0.0332831,
        0.0340678,
        0.0320891,
        0.0322579,
        0.0320048,
        0.0319161,
        0.0321122,
        0.0322227,
        0.0325028,
        0.0338942,
        0.0365739,
        0.0399854,
        0.0428326,
        0.0445211,
        0.0434361,
        0.0397565,
        0.0356637,
        0.0332888,
        0.0326076,
        0.032643,
        0.0376409,
        0.0408096,
        0.0355827,
        0.0369663,
        0.0389114,
        0.0447439,
        0.051948,
        0.0604224,
        0.0710822,
        0.0777838,
        0.0692601,
        0.0584556,
        0.0500721,
        0.0449062,
        0.0410905,
        0.0362214,
        0.0326193,
        0.0316478,
        0.0316066,
        0.0319615,
        0.0319275,
        0.0318381,
        0.031908,
        0.0318808,
        0.0315045,
        0.0307513,
        0.0304842,
        0.0305284,
        0.0306966,
        0.0309525,
        0.0309517,
        0.0309188,
        0.0312725,
        0.0337179,
        0.0324892,
        0.0316623,
        0.0320927,
        0.0325537,
        0.0332703,
        0.0349952,
        0.038624,
        0.045612,
        0.0557028,
        0.0657314,
        0.070347,
        0.0629062,
        0.0529152,
        0.0457453,
        0.0430766,
        0.0454009,
        0.0510017,
        0.0588938,
        0.0599086,
        0.0535726,
        0.0480561,
        0.0425186,
        0.0396072,
        0.0380131,
        0.0382489,
        0.0411575,
        0.0472341,
        0.05705,
        0.0695146,
        0.0745808,
        0.0715591,
        0.0664561,
        0.0616185,
        0.0589365,
        0.05557,
        0.0508168,
        0.0471531,
        0.0458434,
        0.0482316,
        0.0498144,
        0.0498466,
        0.0467755,
        0.0426272,
        0.0403214,
        0.041165,
        0.0450219,
        0.0497127,
        0.0514798,
        0.0511291,
        0.0466225,
        0.0427568,
        0.0422056,
        0.0426602,
        0.0420162,
        0.0418655,
        0.0407569,
        0.03966,
        0.0377291,
        0.0366547,
        0.0361732,
        0.0352084,
        0.0348063,
        0.0342392,
        0.0375515,
        0.0402785,
        0.0337366,
        0.0332765,
        0.0332867,
        0.0333101,
        0.0329357,
        0.0349189,
        0.0361959,
        0.0363814,
        0.0366867,
        0.0366264,
        0.0373418,
        0.0363049,
        0.0345206,
        0.0343278,
        0.0345301,
        0.0362887,
        0.0404851,
        0.0458534,
        0.0516715,
        0.0568352,
        0.0579302,
        0.0547405,
        0.0491219,
        0.0452817,
        0.0413385,
        0.0376565,
        0.0367745,
        0.0381965,
        0.04312,
        0.0482436,
        0.0510109,
        0.0504044,
        0.0472894,
        0.0452841,
        0.0475361,
        0.0559426,
        0.0679618,
        0.0775849,
        0.0755831,
        0.0629968,
        0.0517155,
        0.0435412,
        0.0385355,
        0.0362059,
        0.0375304,
        0.0378728,
        0.0345229,
        0.0344471,
        0.0342813,
        0.0340358,
        0.0340446,
        0.0343224,
        0.0351113,
        0.0350764,
        0.0354052,
        0.0364827,
        0.0379,
        0.0387061,
        0.0410621,
        0.047509,
        0.0575557,
        0.0704172,
        0.0774534,
        0.0765754,
        0.0657763,
        0.0556094,
        0.0500306,
        0.0470753,
        0.0468071,
        0.0488911,
        0.056022,
        0.0641621,
        0.0702795,
        0.0816797,
        0.0942481,
        0.106146,
        0.107212,
        0.10455,
        0.0955876,
        0.0842474,
        0.0737618,
        0.0671225,
        0.061166,
        0.0554172,
        0.0516891,
        0.0516525,
        0.0537223,
        0.0554831,
        0.059049,
        0.06134,
        0.0641948,
        0.0713635,
        0.0828706,
        0.114365,
        0.134178,
        0.131125,
        0.14061,
        0.153874,
        0.179661,
        0.214147,
        0.263472,
        0.290903,
        0.268234,
        0.212965,
        0.171828,
        0.144046,
        0.12469,
        0.106275,
        0.0915655,
        0.0820375,
        0.0745868,
        0.068253,
        0.0629946,
        0.0586141,
        0.0557147,
        0.0530588,
        0.0510155,
        0.0491873,
        0.0484151,
        0.0480805,
        0.0521361,
        0.0540073,
        0.050007,
        0.0487164,
        0.0533591,
        0.0508979,
        0.0424466,
        0.0419922,
        0.0424702,
        0.0421063,
        0.0430876,
        0.0460589,
        0.0516114,
        0.0594307,
        0.0697769,
        0.0821128,
        0.0903824,
        0.0885404,
        0.0759388,
        0.0684135,
        0.0638705,
        0.0608579,
        0.0581321,
        0.0537487,
        0.0488466,
        0.0447789,
        0.0425036,
        0.0499089,
        0.0502726,
        0.0417649,
        0.0411183,
        0.0416421,
        0.043684,
        0.0496367,
        0.0568178,
        0.0593878,
        0.0576186,
        0.0532783,
        0.048166,
        0.0448474,
        0.0442979,
        0.0475082,
        0.0485987,
        0.0491328,
        0.0507771,
        0.052876,
        0.0556346,
        0.0603023,
        0.0650148,
        0.0715189,
        0.0807932,
        0.0920621,
        0.106912,
        0.12249,
        0.143334,
        0.149678,
        0.14314,
        0.134545,
        0.131451,
        0.138131,
        0.138308,
        0.151213,
        0.16028,
        0.144528,
        0.13028,
        0.120424,
        0.113419,
        0.110394,
        0.124926,
        0.120249,
        0.0898855,
        0.0810938,
        0.0723908,
        0.0674804,
        0.0654901,
        0.0664095,
        0.065679,
        0.0607152,
        0.056189,
        0.0520225,
        0.0482819,
        0.0476546,
        0.05085,
        0.0561257,
        0.0589817,
        0.059334,
        0.0564647,
        0.051914,
        0.0479192,
        0.0455789,
        0.0450599,
        0.0455423,
        0.0449382,
        0.0440979,
        0.0441552,
        0.0443749,
        0.0460931,
        0.0474414,
        0.0484531,
        0.0553651,
        0.0624256,
        0.0690501,
        0.0729959,
        0.0718638,
        0.0673783,
        0.0619051,
        0.0595145,
        0.0608397,
        0.0635062,
        0.0677597,
        0.0737857,
        0.0805791,
        0.0885079,
        0.100131,
        0.118569,
        0.144689,
        0.184588,
        0.260212,
        0.352024,
        0.252249,
        0.181996,
        0.143261,
        0.12843,
        0.119689,
        0.111558,
        0.108283,
        0.116879,
        0.110039,
        0.0936645,
        0.0832616,
        0.0744917,
        0.0645905,
        0.0585414,
        0.0548638,
        0.0540045,
        0.056237,
        0.0616557,
        0.0661072,
        0.0660566,
        0.063513,
        0.0580949,
        0.0523995,
        0.0498385,
        0.0476247,
        0.0470313,
        0.0458348,
        0.0442411,
        0.043626,
        0.0435572,
        0.0432511,
        0.0427908,
        0.0434077,
        0.0529078,
        0.0575428,
        0.0558877,
        0.0652632,
        0.0761274,
        0.0891607,
        0.0925454,
        0.0845266,
        0.071568,
        0.0605977,
        0.0521828,
        0.0449122,
        0.0425029,
        0.0415478,
        0.041168,
        0.0411155,
        0.0408457,
        0.0411124,
        0.044646,
        0.0440296,
        0.0424293,
        0.0444096,
        0.0470137,
        0.0473146,
        0.049687,
        0.0508723,
        0.0550692,
        0.0550735,
        0.0489926,
        0.0530649,
        0.0621641,
        0.0801165,
        0.0946973,
        0.108102,
        0.117089,
        0.11629,
        0.121943,
        0.156547,
        0.169357,
        0.146983,
        0.132917,
        0.106226,
        0.0855383,
        0.06808,
        0.0583202,
        0.0507674,
        0.0467274,
        0.0452759,
        0.0453487,
        0.0466671,
        0.0491239,
        0.0548681,
        0.061064,
        0.0612346,
        0.0601073,
        0.055923,
        0.0505579,
        0.0488316,
        0.0484241,
        0.0496771,
        0.0484773,
        0.0482786,
        0.0474758,
        0.0482966,
        0.0483608,
        0.0571886,
        0.0556214,
        0.0481643,
        0.0485236,
        0.0490606,
        0.0519875,
        0.0581116,
        0.0686078,
        0.0797659,
        0.0871763,
        0.0925253,
        0.0875097,
        0.0761198,
        0.0694402,
        0.06449,
        0.0600327,
        0.0575641,
        0.0586539,
        0.061561,
        0.0674602,
        0.0733664,
        0.0758332,
        0.0730767,
        0.0658006,
        0.0595524,
        0.0561324,
        0.0546293,
        0.0526797,
        0.0514214,
        0.0486432,
        0.0487855,
        0.0522992,
        0.0588453,
        0.0696674,
        0.0746767,
        0.0749721,
        0.0745377,
        0.070784,
        0.0667493,
        0.0653052,
        0.0640796,
        0.0616282,
        0.0625079,
        0.0678052,
        0.0720313,
        0.0732599,
        0.0695625,
        0.062593,
        0.0564836,
        0.0536842,
        0.050885,
        0.049379,
        0.0477699,
        0.0480666,
        0.050742,
        0.0563514,
        0.0639278,
        0.0679265,
        0.0707689,
        0.0722246,
        0.0738429,
        0.0776968,
        0.0786328,
        0.0741412,
        0.0628068,
        0.0531587,
        0.0474305,
        0.0439353,
        0.0417568,
        0.0419114,
        0.0445535,
        0.0444654,
        0.0419349,
        0.0416183,
        0.0411139,
        0.0417461,
        0.0444823,
        0.0507278,
        0.0698354,
        0.0720685,
        0.0607991,
        0.0571929,
        0.0502744,
        0.0451663,
        0.0430984,
        0.0430922,
        0.043299,
        0.0431641,
        0.0424592,
        0.0421873,
        0.0417937,
        0.042337,
        0.0449592,
        0.0501565,
        0.0503351,
        0.0515371,
        0.053211,
        0.0514606,
        0.049445,
        0.0500226,
        0.0519156,
        0.0559938,
        0.0623302,
        0.0747146,
        0.0857579,
        0.0943062,
        0.100157,
        0.0880622,
        0.0771346,
        0.0747766,
        0.0783787,
        0.0941791,
        0.118478,
        0.153238,
        0.160119,
        0.129731,
        0.0969904,
        0.0765636,
        0.0632785,
        0.0554459,
        0.0518137,
        0.0500239,
        0.0481659,
        0.0478807,
        0.0482375,
        0.0521379,
        0.0580589,
        0.0671968,
        0.0790876,
        0.0920604,
        0.10229,
        0.0957835,
        0.0836298,
        0.0740862,
        0.0651352,
        0.0566411,
        0.0533709,
        0.0514213,
        0.0506113,
        0.050627,
        0.0497343,
        0.0508883,
        0.0506398,
        0.0513949,
        0.0592152,
        0.059183,
        0.0569425,
        0.064078,
        0.0769102,
        0.0869932,
        0.108732,
        0.137011,
        0.107651,
        0.0846249,
        0.0741344,
        0.0634009,
        0.0544652,
        0.0504108,
        0.0487407,
        0.0481325,
        0.049172,
        0.0482002,
        0.0490524,
        0.0512399,
        0.0535487,
        0.0562948,
        0.0585962,
        0.0582317,
        0.0558121,
        0.0549011,
        0.0565267,
        0.0597017,
        0.058111,
        0.058814,
        0.0619274,
        0.0651512,
        0.0714973,
        0.0792018,
        0.0810724,
        0.0822232,
        0.0818467,
        0.0832855,
        0.0929014,
        0.111491,
        0.141082,
        0.173709,
        0.203512,
        0.210679,
        0.203107,
        0.210562,
        0.213932,
        0.194153,
        0.173057,
        0.142825,
        0.117131,
        0.09824,
        0.0914537,
        0.0866155,
        0.0889471,
        0.0979627,
        0.109823,
        0.118135,
        0.123748,
        0.115542,
        0.0999439,
        0.086808,
        0.0781993,
        0.0708482,
        0.0670824,
        0.0631514,
        0.0617651,
        0.0599289,
        0.0558486,
        0.0537265,
        0.0528259,
        0.0510196,
        0.0516884,
        0.0519407,
        0.0518739,
        0.0514826,
        0.0502632,
        0.0489473,
        0.047748,
        0.0492232,
        0.0513667,
        0.0559872,
        0.0645317,
        0.0698024,
        0.0729181,
        0.0699738,
        0.0635567,
        0.0564255,
        0.0528603,
        0.0521598,
        0.0525067,
        0.0555618,
        0.0593743,
        0.06353,
        0.0667036,
        0.0653688,
        0.0646544,
        0.0608314,
        0.0547639,
        0.0532873,
        0.0520083,
        0.0517398,
        0.0528346,
        0.0567317,
        0.0638045,
        0.0764012,
        0.0854699,
        0.0871002,
        0.0808697,
        0.0685463,
        0.0587923,
        0.0536846,
        0.0530536,
        0.0570645,
        0.0622568,
        0.0647553,
        0.0671281,
        0.066366,
        0.0618984,
        0.0616784,
        0.0678563,
        0.0835513,
        0.107313,
        0.128647,
        0.129517,
        0.103666,
        0.0810178,
        0.0650732,
        0.0563165,
        0.0541966,
        0.0572346,
        0.0634686,
        0.0702392,
        0.0721336,
        0.0699929,
        0.0638319,
        0.0566002,
        0.05163,
        0.0504483,
        0.0508196,
        0.0542231,
        0.0610494,
        0.0731108,
        0.0843543,
        0.0874508,
        0.0846791,
        0.0729864,
        0.0633948,
        0.0584707,
        0.0587967,
        0.0640955,
        0.0747989,
        0.0849062,
        0.0918893,
        0.0874211,
        0.0917141,
        0.0806778,
        0.0648751,
        0.0667552,
        0.0723769,
        0.0803295,
        0.0828151,
        0.0795811,
        0.0717542,
        0.0617974,
        0.0560376,
        0.0535115,
        0.0550955,
        0.0588336,
        0.0635067,
        0.0666854,
        0.0682343,
        0.0670037,
        0.0622425,
        0.0587766,
        0.0540624,
        0.0526006,
        0.0518947,
        0.0528621,
        0.0564186,
        0.0610376,
        0.0645152,
        0.0659904,
        0.0669208,
        0.0682782,
        0.0741823,
        0.0856796,
        0.100845,
        0.0959007,
        0.0927433,
        0.0867972,
        0.0803776,
        0.0753671,
        0.0712415,
        0.0667748,
        0.0621585,
        0.0719819,
        0.0797946,
        0.0803334,
        0.085949,
        0.0862935,
        0.0911451,
        0.0788737,
        0.0667576,
        0.0629461,
        0.058665,
        0.0590869,
        0.0621454,
        0.0677296,
        0.0775236,
        0.0832353,
        0.0870108,
        0.0846822,
        0.075003,
        0.0677551,
        0.0636081,
        0.0637356,
        0.0647835,
        0.065539,
        0.0663302,
        0.0688833,
        0.0711041,
        0.0760086,
        0.0791324,
        0.0853172,
        0.0951294,
        0.102386,
        0.108601,
        0.115658,
        0.120156,
        0.131306,
        0.148245,
        0.175221,
        0.2018,
        0.254889,
        0.338811,
        0.348706,
        0.2634,
        0.231134,
        0.211609,
        0.194405,
        0.164182,
        0.140417,
        0.136696,
        0.135488,
        0.131269,
        0.130442,
        0.13375,
        0.133349,
        0.129399,
        0.118097,
        0.104678,
        0.0902799,
        0.084723,
        0.0879171,
        0.088901,
        0.0869913,
        0.0831614,
        0.0756008,
        0.0677579,
        0.0647068,
        0.0631964,
        0.06256,
        0.0624547,
        0.0638377,
        0.0679896,
        0.0757998,
        0.0866283,
        0.100973,
        0.105944,
        0.102373,
        0.096419,
        0.087151,
        0.0855487,
        0.0966475,
        0.12281,
        0.16111,
        0.190526,
        0.173743,
        0.131867,
        0.102332,
        0.0866177,
        0.0769326,
        0.072616,
        0.0691405,
        0.067932,
        0.0641464,
        0.0609106,
        0.059488,
        0.0577738,
        0.0569322,
        0.0576771,
        0.0573638,
        0.058277,
        0.0600482,
        0.0604748,
        0.0605906,
        0.0600778,
        0.0596559,
        0.058883,
        0.0582477,
        0.0568117,
        0.0562034,
        0.05644,
        0.0580275,
        0.0612596,
        0.0697347,
        0.0796973,
        0.0919827,
        0.110073,
        0.129289,
        0.13321,
        0.123018,
        0.106965,
        0.089995,
        0.0868687,
        0.077375,
        0.0604291,
        0.0577424,
        0.0584677,
        0.0602379,
        0.0658327,
        0.077989,
        0.0942399,
        0.111629,
        0.120068,
        0.112137,
        0.0944514,
        0.0814077,
        null,
        0.0527482,
        0.05352,
        0.0534493,
        0.0516082,
        0.0489721,
        0.0474079,
        0.0460279,
        0.045295,
        0.0441846,
        0.0434942,
        0.0447617,
        0.0443072,
        0.0428383,
        0.0431348,
        0.0440363,
        0.0461957,
        0.0520738,
        0.0603713,
        0.066716,
        0.0677086,
        0.0627501,
        0.0557329,
        0.0512471,
        0.0505633,
        0.0516394,
        0.0518899,
        0.0505547,
        0.0480361,
        0.0459589,
        0.0451169,
        0.0454593,
        0.0455283,
        0.0448875,
        0.0443061,
        0.0440375,
        0.0454833,
        0.0510886,
        0.0612145,
        0.0904769,
        0.100615,
        0.0791915,
        0.065179,
        0.0535325,
        0.0475134,
        0.0453691,
        0.0451552,
        0.0473627,
        0.0529573,
        0.0618183,
        0.0692952,
        0.0695128,
        0.0689345,
        0.0603683,
        0.0491096,
        0.0472717,
        0.0486143,
        0.0511279,
        0.0545491,
        0.0594077,
        0.0674646,
        0.0768533,
        0.0798646,
        0.0760056,
        0.0666944,
        0.0577937,
        0.0539812,
        0.0547206,
        0.0561314,
        0.0591643,
        0.0628818,
        0.0688617,
        0.0764504,
        0.0844664,
        0.0878479,
        0.08581,
        0.0801444,
        0.0733273,
        0.0683827,
        0.0667236,
        0.0701604,
        0.0770425,
        0.083368,
        0.0826095,
        0.074971,
        0.0666461,
        0.0610003,
        0.0598934,
        0.0625266,
        0.0646676,
        0.0667206,
        0.0682639,
        0.070982,
        0.0769116,
        0.0849056,
        0.0876472,
        0.0856995,
        0.084435,
        0.0857383,
        0.0915924,
        0.103393,
        0.108934,
        0.111775,
        0.0949514,
        0.0712135,
        0.0604156,
        0.0553218,
        0.0526475,
        0.0508196,
        0.0512358,
        0.0554617,
        0.0650283,
        0.0769082,
        0.0830972,
        0.0796066,
        0.0682546,
        0.0581751,
        0.0523377,
        0.0502014,
        0.0490383,
        0.0476344,
        0.0464674,
        0.0465521,
        0.0465737,
        0.0463024,
        0.0460712,
        0.0457666,
        0.0456715,
        0.0458508,
        0.0457792,
        0.0457231,
        0.0462746,
        0.0471298,
        0.0488518,
        0.0504939,
        0.0545288,
        0.0616046,
        0.073221,
        0.0877235,
        0.0930498,
        0.0833365,
        0.0704637,
        0.0599283,
        0.0556994,
        0.0539123,
        0.0538863,
        0.0548724,
        0.0567998,
        0.0591355,
        0.0620605,
        0.0670692,
        0.0721573,
        0.0763758,
        0.0824767,
        0.0906039,
        0.100882,
        0.11618,
        0.14411,
        0.184636,
        0.256503,
        0.326705,
        0.266633,
        0.228994,
        0.207315,
        0.176508,
        0.14135,
        0.11408,
        0.0967628,
        0.0857735,
        0.0783293,
        0.0735298,
        0.0687156,
        0.0641115,
        0.0607406,
        0.0596596,
        0.0584788,
        0.0575433,
        0.0585029,
        0.0616534,
        0.0653783,
        0.0705928,
        0.0700629,
        0.0658007,
        0.0648581,
        0.068794,
        0.075656,
        0.0821491,
        0.0879792,
        0.0903388,
        0.088456,
        0.0847507,
        0.0768845,
        0.067581,
        0.0600787,
        0.0577299,
        0.0577522,
        0.0581425,
        0.0593442,
        0.0602723,
        0.0614502,
        0.0629332,
        0.0660386,
        0.0706325,
        0.078385,
        0.0889751,
        0.10134,
        0.114587,
        0.134546,
        0.155821,
        0.168685,
        0.180101,
        0.196951,
        0.221298,
        0.254002,
        0.389798,
        0.289757,
        0.221193,
        0.19911,
        0.182931,
        0.177839,
        0.162698,
        0.144627,
        0.126614,
        0.116461,
        0.104925,
        0.0977831,
        0.0883607,
        0.0797461,
        0.074851,
        0.0759262,
        0.082431,
        0.0861388,
        0.0819764,
        0.0728032,
        0.0647383,
        0.0607731,
        0.0587652,
        0.0584362,
        0.0589872,
        0.0599143,
        0.0607264,
        0.0614661,
        0.061103,
        0.0594364,
        0.0591767,
        0.0631616,
        0.0684504,
        0.073324,
        0.0751986,
        0.0723015,
        0.0659766,
        0.061729,
        0.0601121,
        0.0605661,
        0.061573,
        0.062233,
        0.0646919,
        0.0679917,
        0.0718905,
        0.0785287,
        0.0868129,
        0.0977599,
        0.116587,
        0.143439,
        0.185783,
        0.25441,
        0.277208,
        0.220146,
        0.182991,
        0.149857,
        0.124368,
        0.103595,
        0.0862039,
        0.0748227,
        0.0734143,
        0.0686767,
        0.060063,
        0.0585245,
        0.0568144,
        0.0551104,
        0.0524809,
        0.0499927,
        0.048499,
        0.046553,
        0.0449514,
        0.0433761,
        0.0423176,
        0.0411138,
        0.0402242,
        0.0397208,
        0.0389666,
        0.0389786,
        0.0386613,
        0.0379926,
        0.0377157,
        0.0379208,
        0.0376041,
        0.0373607,
        0.0374322,
        0.0376266,
        0.0381988,
        0.0398917,
        0.0426002,
        0.0446101,
        0.0452682,
        0.0442824,
        0.0425306,
        0.040734,
        0.0406734,
        0.0413997,
        0.0429795,
        0.0449636,
        0.04698,
        0.0495954,
        0.0529699,
        0.0544877,
        0.0537886,
        0.0522888,
        0.049379,
        0.0467478,
        0.0445333,
        0.04353,
        0.0428768,
        0.042624,
        0.0440789,
        0.0486456,
        0.0547296,
        0.0617318,
        0.0675858,
        0.0655143,
        0.059695,
        0.053218,
        0.0480668,
        0.0432753,
        0.040708,
        0.0381589,
        0.0369107,
        0.0368124,
        0.0364612,
        0.0360667,
        0.0354761,
        0.0347148,
        0.0346777,
        0.0348285,
        0.0343503,
        0.0339335,
        0.0339846,
        0.0340525,
        0.0340947,
        0.0338085,
        0.0342374,
        0.0354673,
        0.0378527,
        0.039797,
        0.0403492,
        0.0395226,
        0.037666,
        0.0364742,
        0.0357595,
        0.0360579,
        0.0357762,
        0.0351119,
        0.0350932,
        0.0348755,
        0.0350903,
        0.0352228,
        0.035456,
        0.0358308,
        0.0378165,
        0.0392484,
        0.0377449,
        0.0385527,
        0.0402187,
        0.0417192,
        0.043473,
        0.0458126,
        0.0487436,
        0.052491,
        0.0577921,
        0.0638673,
        0.0715228,
        0.0779497,
        0.0787659,
        0.0748807,
        0.0683878,
        0.0611729,
        0.0561182,
        0.0523272,
        0.0499279,
        0.0497801,
        0.0518718,
        0.0540331,
        0.0545477,
        0.0541858,
        0.0540556,
        0.056215,
        0.0543007,
        0.0494011,
        0.0444712,
        0.0393468,
        0.0366967,
        0.0354268,
        0.0347817,
        0.034546,
        0.0345288,
        0.0346713,
        0.0347315,
        0.0345828,
        0.0342116,
        0.0340133,
        0.0341018,
        0.0338784,
        0.0345767,
        0.0366451,
        0.0387595,
        0.0398723,
        0.0397978,
        0.0377378,
        0.0355276,
        0.0344337,
        0.0341654,
        0.0343382,
        0.0343585,
        0.0416604,
        0.0421959,
        0.0344673,
        0.0336627,
        0.0338596,
        0.0338542,
        0.033879,
        0.0337495,
        0.0339817,
        0.0337818,
        0.0336329,
        0.0338334,
        0.0333668,
        0.0337517,
        0.0338116,
        0.034424,
        0.0346696,
        0.0354372,
        0.0357644,
        0.0353389,
        0.0356732,
        0.0353505,
        0.0341011,
        0.0340667,
        0.0339691,
        0.0339595,
        0.0342793,
        0.034255,
        0.0336695,
        0.0335941,
        0.0336687,
        0.0336362,
        0.0336205,
        0.0338024,
        0.0347994,
        0.0351478,
        0.0350067,
        0.0345762,
        0.0341003,
        0.0339264,
        0.0334031,
        0.0332618,
        0.0333904,
        0.0335687,
        0.0331485,
        0.0337756,
        0.0339514,
        0.0331668,
        0.0323422,
        0.0323957,
        0.0323534,
        0.0319939,
        0.0317668,
        0.0319146,
        0.0317067,
        0.0317775,
        0.0316938,
        0.0331113,
        0.0330692,
        0.0322477,
        0.032983,
        0.0338338,
        0.0343021,
        0.0355471,
        0.0371294,
        0.0394158,
        0.0419758,
        0.0445554,
        0.0464447,
        0.0497689,
        0.0511148,
        0.0558362,
        0.0552502,
        0.0459896,
        0.0425194,
        0.0390291,
        0.0368566,
        0.0358594,
        0.034961,
        0.0341087,
        0.0338144,
        0.0335574,
        0.0332295,
        0.0328774,
        0.0327728,
        0.0326123,
        0.032508,
        0.0324068,
        0.0323623,
        0.0321021,
        0.0321883,
        0.0318477,
        0.0316866,
        0.0316724,
        0.0318297,
        0.0335911,
        0.0336899,
        0.0314343,
        0.0315775,
        0.0317172,
        0.0315624,
        0.0315691,
        0.0316312,
        0.0316677,
        0.0316865,
        0.031792,
        0.0317533,
        0.0321368,
        0.0321611,
        0.0324609,
        0.0326332,
        0.033364,
        0.0367786,
        0.037425,
        0.0352522,
        0.0356947,
        0.0357698,
        0.0360282,
        0.036324,
        0.0370395,
        0.0379389,
        0.0387778,
        0.0398308,
        0.0415295,
        0.0431633,
        0.0448846,
        0.0482234,
        0.0522058,
        0.0575842,
        0.0643138,
        0.0722194,
        0.0788693,
        0.0817762,
        0.0804225,
        0.0754681,
        0.0694072,
        0.0650736,
        0.0613743,
        0.057707,
        0.0561547,
        0.0550549,
        0.055694,
        0.0570166,
        0.057667,
        0.060335,
        0.0637808,
        0.066988,
        0.0738944,
        0.0806511,
        0.0918525,
        0.105322,
        0.132346,
        0.161958,
        0.209025,
        0.297458,
        0.289452,
        0.197652,
        0.149847,
        0.116022,
        0.0968954,
        0.0836487,
        0.0738516,
        0.0661707,
        0.0610383,
        0.0566415,
        0.0534036,
        0.0506003,
        0.0481303,
        0.0461399,
        0.0443577,
        0.0433243,
        0.0451275,
        0.0436886,
        0.0406229,
        0.0405938,
        0.0395565,
        0.0388668,
        0.0387604,
        0.039042,
        0.0393473,
        0.038877,
        0.037815,
        0.036502,
        0.0357655,
        0.035594,
        0.0353861,
        0.0351575,
        0.0351192,
        0.035417,
        0.035632,
        0.0354029,
        0.0361348,
        0.0360442,
        0.0355744,
        0.0347827,
        0.0341225,
        0.0336642,
        0.0332544,
        0.0328642,
        0.0326923,
        0.0323101,
        0.0326384,
        0.0327492,
        0.0379531,
        0.0375851,
        0.0321983,
        0.0318708,
        0.0320318,
        0.0320029,
        0.03201,
        0.0319499,
        0.0321101,
        0.0320109,
        0.0325541,
        0.0332546,
        0.0340317,
        0.0390376,
        0.0386532,
        0.0327943,
        0.0322599,
        0.0318662,
        0.031767,
        0.0314721,
        0.0314157,
        0.031799,
        0.0364003,
        0.0339676,
        0.032268,
        0.0324396,
        0.0329895,
        0.033687,
        0.0344334,
        0.0359324,
        0.0379394,
        0.0416963,
        0.0467285,
        0.0510756,
        0.0545445,
        0.0547407,
        0.0520614,
        0.0482831,
        0.0443399,
        0.0414831,
        0.0391561,
        0.0369182,
        0.0356231,
        0.035029,
        0.0343038,
        0.0340597,
        0.034151,
        0.0339047,
        0.0347403,
        0.0349119,
        0.0348428,
        0.034418,
        0.0336579,
        0.0343167,
        0.0357856,
        0.0395834,
        0.0442103,
        0.0483265,
        0.0515239,
        0.0516168,
        0.0509996,
        0.0503697,
        0.0477055,
        0.0444717,
        0.042845,
        0.0397588,
        0.0369667,
        0.0373882,
        0.0399307,
        0.0425108,
        0.0445854,
        0.0448882,
        0.0438111,
        0.0428497,
        0.0425006,
        0.0416071,
        0.040471,
        0.0379954,
        0.0362087,
        0.0355843,
        0.0357586,
        0.0361479,
        0.0368374,
        0.0376839,
        0.0395824,
        0.0440689,
        0.0515383,
        0.0584147,
        0.0660566,
        0.0684153,
        0.0668867,
        0.0696652,
        0.0775066,
        0.0902669,
        0.103361,
        0.103246,
        0.0929896,
        0.07996,
        0.0686221,
        0.0628014,
        0.0602814,
        0.0664012,
        0.0675149,
        0.0589508,
        0.0542475,
        0.0474576,
        0.0424989,
        0.0403031,
        0.0508072,
        0.0519882,
        0.0442705,
        0.0481249,
        0.0497929,
        0.0550354,
        0.0504964,
        0.0396209,
        0.0363188,
        0.0349818,
        0.0348595,
        0.0347288,
        0.0350206,
        0.0361407,
        0.0385229,
        0.040845,
        0.0429674,
        0.0451778,
        0.0466608,
        0.0488198,
        0.053487,
        0.0562365,
        0.0527882,
        0.0477408,
        0.0422993,
        0.0380839,
        0.0378957,
        0.0394382,
        0.0446021,
        0.0502372,
        0.052506,
        0.0501957,
        0.0447094,
        0.039059,
        0.0358786,
        0.0346434,
        0.0338974,
        0.0361598,
        0.0394367,
        0.0430112,
        0.0445053,
        0.0447056,
        0.0429469,
        0.0409229,
        0.0401347,
        0.038914,
        0.0370444,
        0.0368944,
        0.0368661,
        0.0367603,
        0.0400863,
        0.0425707,
        0.0426748,
        0.041398,
        0.0382494,
        0.0352751,
        0.034133,
        0.0339825,
        0.0337125,
        0.0343208,
        0.0362008,
        0.0382476,
        0.0407925,
        0.0445701,
        0.0461491,
        0.044266,
        0.041933,
        0.0389405,
        0.0371779,
        0.0388644,
        0.0395942,
        0.0372191,
        0.0385379,
        0.0421288,
        0.0475756,
        0.0531851,
        0.0576625,
        0.0597849,
        0.0571858,
        0.0526895,
        0.0497576,
        0.0458029,
        0.0440284,
        0.0445367,
        0.0485704,
        0.0515025,
        0.0521715,
        0.0488025,
        0.0425084,
        0.0376387,
        0.0349687,
        0.0342891,
        0.0343267,
        0.0354231,
        0.038809,
        0.0444927,
        0.0511414,
        0.0540797,
        0.0522026,
        0.0476407,
        0.0432325,
        0.041807,
        0.0418232,
        0.0427928,
        0.0431194,
        0.0439393,
        0.0461589,
        0.0507671,
        0.0575205,
        0.0644944,
        0.0687022,
        0.065265,
        0.0579603,
        0.0542422,
        0.0528486,
        0.0553208,
        0.0574507,
        0.0556072,
        0.0510032,
        0.0458693,
        0.0407489,
        0.0380678,
        0.0384536,
        0.0408686,
        0.0440284,
        0.0476017,
        0.0568645,
        0.0561137,
        0.0471545,
        0.0434804,
        0.0414093,
        0.0389317,
        0.0382829,
        0.0390973,
        0.0406619,
        0.0413491,
        0.0410721,
        0.0400886,
        0.0398553,
        0.0437247,
        0.0509571,
        0.0606787,
        0.0642364,
        0.0587572,
        0.050878,
        0.0431173,
        0.038831,
        0.0368933,
        0.0365698,
        0.0377234,
        0.0413365,
        0.0472616,
        0.0535486,
        0.0571019,
        0.057485,
        0.0560123,
        0.0527826,
        0.0508117,
        0.0541723,
        0.0576851,
        0.0584924,
        0.0591286,
        0.0608969,
        0.0630114,
        0.0701428,
        0.0808692,
        0.0881199,
        0.0868827,
        0.078243,
        0.0654915,
        0.056347,
        0.0507414,
        0.0474889,
        0.0455225,
        0.0437286,
        0.0418214,
        0.0410814,
        0.042292,
        0.04748,
        0.0549293,
        0.061841,
        0.0619194,
        0.0566333,
        0.0486235,
        0.0413202,
        0.0374053,
        0.0357931,
        0.0353138,
        0.0350728,
        0.0348614,
        0.0338419,
        0.0339567,
        0.0346949,
        0.0340315,
        0.0354708,
        0.0384427,
        0.0417374,
        0.0445628,
        0.0466864,
        0.0474025,
        0.0465077,
        0.0462466,
        0.0485953,
        0.047859,
        0.0458706,
        0.0432313,
        0.0405703,
        0.038288,
        0.037208,
        0.037582,
        0.0386536,
        0.0404274,
        0.0430037,
        0.048626,
        0.0539758,
        0.0571995,
        0.0581476,
        0.0537863,
        0.0488404,
        0.0497293,
        0.0511565,
        0.0508956,
        0.0482207,
        0.045157,
        0.0428518,
        0.0419831,
        0.0407755,
        0.0396892,
        0.037738,
        0.0418239,
        0.0447543,
        0.0460548,
        0.0538554,
        0.060734,
        0.0643207,
        0.0621896,
        0.0567998,
        0.054159,
        0.0509431,
        0.0473307,
        0.0442555,
        0.041338,
        0.0395541,
        0.0392651,
        0.0404453,
        0.0437406,
        0.048215,
        0.0532483,
        0.0559649,
        0.0541458,
        0.0544676,
        0.0507042,
        0.0419046,
        0.0399144,
        0.039576,
        0.0412802,
        0.0441957,
        0.045868,
        0.0468967,
        0.0464674,
        0.0452311,
        0.0458829,
        0.0478628,
        0.0488117,
        0.0480786,
        0.046235,
        0.04297,
        0.0408046,
        0.0397696,
        0.0390366,
        0.0391826,
        0.0392745,
        0.0394856,
        0.0401181,
        0.0413966,
        0.0445189,
        0.047352,
        0.0504675,
        0.0556817,
        0.0628504,
        0.0666474,
        0.0704409,
        0.0699879,
        0.0686869,
        0.0621883,
        0.0587096,
        0.0591654,
        0.0612143,
        0.0665341,
        0.0744389,
        0.0813414,
        0.0914441,
        0.104364,
        0.113806,
        0.126467,
        0.13309,
        0.141436,
        0.148744,
        0.161594,
        0.173987,
        0.179089,
        0.178622,
        0.192121,
        0.203589,
        0.251742,
        0.315515,
        0.31869,
        0.242358,
        0.215204,
        0.199637,
        0.182117,
        0.164422,
        0.145578,
        0.124656,
        0.10748,
        0.0940893,
        0.0817645,
        0.0724981,
        0.0674315,
        0.0671841,
        0.0670843,
        0.0680794,
        0.0667547,
        0.0680993,
        0.0724321,
        0.0770475,
        0.0887208,
        0.101932,
        0.10416,
        0.0984162,
        0.0941726,
        0.0987499,
        0.103511,
        0.0981336,
        0.103597,
        0.0982273,
        0.0853996,
        0.0823129,
        0.0776476,
        0.0713974,
        0.0654174,
        0.0634648,
        0.062399,
        0.0621957,
        0.059612,
        0.0559698,
        0.0518652,
        0.049421,
        0.0489065,
        0.048354,
        0.0476229,
        0.0463539,
        0.0444537,
        0.0423567,
        0.0436299,
        0.0480851,
        0.0565108,
        0.0651521,
        0.0707536,
        0.0734221,
        0.0736088,
        0.0659122,
        0.0562289,
        0.0527622,
        0.0502317,
        0.0479495,
        0.0460832,
        0.0442127,
        0.0413408,
        0.0415249,
        0.0405918,
        0.0379823,
        0.037829,
        0.0382825,
        0.0396292,
        0.0418381,
        0.0446259,
        0.048314,
        0.0514661,
        0.0518,
        0.0514884,
        0.0503691,
        0.0485923,
        0.0454628,
        0.0436501,
        0.041794,
        0.044035,
        0.0435942,
        0.0401564,
        0.0415078,
        0.0430006,
        0.0430193,
        0.0419811,
        0.0405526,
        0.0388392,
        0.0380774,
        0.0379284,
        0.039819,
        0.0427835,
        0.0451579,
        0.0464617,
        0.0473459,
        0.0476547,
        0.0478273,
        0.0529341,
        0.0637529,
        0.0751264,
        0.0805916,
        0.0792105,
        0.0740441,
        0.0670603,
        0.0642341,
        0.0647986,
        0.0646501,
        0.0632019,
        0.0632551,
        0.0647278,
        0.0670165,
        0.0719259,
        0.0811633,
        0.0934933,
        0.108769,
        0.126122,
        0.151119,
        0.173792,
        0.191597,
        0.201761,
        0.200087,
        0.179815,
        0.167263,
        0.146282,
        0.125641,
        0.112725,
        0.101893,
        0.0964181,
        0.0967729,
        0.0952257,
        0.0905866,
        0.0865371,
        0.0787038,
        0.0691603,
        0.0617509,
        0.0588111,
        0.0575326,
        0.0565101,
        0.057717,
        0.0581204,
        0.0560963,
        0.0536165,
        0.0496925,
        0.0463587,
        0.0441906,
        0.0423427,
        0.0414028,
        0.0414402,
        0.0416666,
        0.0417153,
        0.0424122,
        0.0429386,
        0.0436968,
        0.0461203,
        0.0516839,
        0.059644,
        0.066338,
        0.0705352,
        0.0659903,
        0.0605804,
        0.0584111,
        0.0588851,
        0.0614399,
        0.0661493,
        0.0671965,
        0.06589,
        0.0610853,
        0.0549174,
        0.0492518,
        0.0470793,
        0.0458697,
        0.0464729,
        0.0477358,
        0.0470183,
        0.0476494,
        0.047611,
        0.0473244,
        0.0477052,
        0.0492884,
        0.0595324,
        0.0600783,
        0.0559063,
        0.0592826,
        0.063767,
        0.068642,
        0.0721859,
        0.0757558,
        0.0765375,
        0.076096,
        0.0742413,
        0.0734654,
        0.0747173,
        0.0769029,
        0.0846538,
        0.0800561,
        0.0653298,
        0.0593719,
        0.0554349,
        0.0543647,
        0.0543754,
        0.0537822,
        0.0517056,
        0.050764,
        0.0479208,
        0.0457985,
        0.0458388,
        0.0466248,
        0.0479444,
        0.0503382,
        0.0530905,
        0.0580803,
        0.0646377,
        0.073867,
        0.0868163,
        0.101842,
        0.110663,
        0.109074,
        0.0971054,
        0.0806574,
        0.0679723,
        0.0616555,
        0.0548563,
        0.050759,
        0.0472825,
        0.0439204,
        0.0421723,
        0.0416185,
        0.0406209,
        0.0396648,
        0.0401865,
        0.0405353,
        0.0418513,
        0.0436727,
        0.0441636,
        0.0436534,
        0.0437876,
        0.0464044,
        0.0531486,
        0.0675671,
        0.0819057,
        0.0963571,
        0.098078,
        0.0885877,
        0.0737063,
        0.0613376,
        0.0523482,
        0.047282,
        0.0433292,
        0.041823,
        0.0409447,
        0.0415486,
        0.0422817,
        0.0422745,
        0.041992,
        0.0412511,
        0.0399279,
        0.0385838,
        0.0383059,
        0.0382959,
        0.0384247,
        0.038561,
        0.0396201,
        0.041382,
        0.0471977,
        0.0609286,
        0.0593153,
        0.0557842,
        0.0550812,
        0.0518064,
        0.0490991,
        0.0481563,
        0.0465353,
        0.0440763,
        0.0411306,
        0.03872,
        0.0368566,
        0.0364822,
        0.0362592,
        0.0362338,
        0.0359324,
        0.0355554,
        0.0352942,
        0.0356441,
        0.036477,
        0.0378045,
        0.0399395,
        0.0419421,
        0.0434114,
        0.0438082,
        0.04219,
        0.0423318,
        0.0396404,
        0.0371064,
        0.0372016,
        0.0372452,
        0.0378376,
        0.0388689,
        0.0390353,
        0.0402909,
        0.0430842,
        0.0475458,
        0.0531943,
        0.0565246,
        0.05562,
        0.0517782,
        0.0506253,
        0.0471681,
        0.0430251,
        0.0416136,
        0.0415737,
        0.0423995,
        0.0464004,
        0.0531125,
        0.0588937,
        0.0612204,
        0.0582272,
        0.0517786,
        0.0465145,
        0.0434128,
        0.0433077,
        0.0431466,
        0.0428386,
        0.041973,
        0.0415634,
        0.0410746,
        0.0415313,
        0.0410417,
        0.0386503,
        0.0384576,
        0.0385156,
        0.0396004,
        0.0426834,
        0.0451581,
        0.0469892,
        0.0478836,
        0.0451843,
        0.0418634,
        0.0395483,
        0.0388623,
        0.0387745,
        0.039755,
        0.0400865,
        0.0413071,
        0.0425989,
        0.0430282,
        0.0447975,
        0.0485332,
        0.0553105,
        0.0658756,
        0.0791694,
        0.0904999,
        0.0907686,
        0.0801822,
        0.0673121,
        0.0589232,
        0.0643202,
        0.0596213,
        0.0472981,
        0.0494953,
        0.045904,
        0.0430393,
        0.0416807,
        0.0439916,
        0.0427785,
        0.040865,
        0.0406699,
        0.0416873,
        0.0434364,
        0.045109,
        0.0449356,
        0.0446456,
        0.043714,
        0.0424569,
        0.048207,
        0.0538561,
        0.0555453,
        0.0656406,
        0.073944,
        0.0749339,
        0.0670901,
        0.0558004,
        0.0478742,
        0.0436286,
        0.0416188,
        0.0411722,
        0.0441424,
        0.0458738,
        0.0423923,
        0.0433118,
        0.0490466,
        0.0490247,
        0.0443096,
        0.0441675,
        0.0440448,
        0.0467774,
        0.0486427,
        0.0493267,
        0.0523765,
        0.0551883,
        0.0585754,
        0.0628155,
        0.0675549,
        0.0691259,
        0.0711976,
        0.0701223,
        0.0664337,
        0.0627775,
        0.0572217,
        0.0527982,
        0.0490775,
        0.0473403,
        0.0466218,
        0.0476802,
        0.0509866,
        0.0548252,
        0.0558592,
        0.0557623,
        0.053467,
        0.047774,
        0.0443604,
        0.0430339,
        0.0422684,
        0.0424122,
        0.04178,
        0.0416604,
        0.0423158,
        0.044032,
        0.0440408,
        0.0441696,
        0.043863,
        0.0436954,
        0.0433589,
        0.0452128,
        0.0477281,
        0.0533389,
        0.0600844,
        0.0687238,
        0.0773693,
        0.0776733,
        0.0715605,
        0.0619927,
        0.0527424,
        0.0488792,
        0.0484259,
        0.0500161,
        0.0505043,
        0.0496989,
        0.0492265,
        0.0475148,
        0.0464523,
        0.0465432,
        0.0475239,
        0.0488393,
        0.0493179,
        0.0494399,
        0.0482746,
        0.0492159,
        0.0508007,
        0.0485694,
        0.0487586,
        0.0502783,
        0.0529893,
        0.0571696,
        0.0606668,
        0.0735775,
        0.0773284,
        0.0735794,
        0.0814326,
        0.0963084,
        0.115373,
        0.120879,
        0.113424,
        0.0946088,
        0.0799384,
        0.0723273,
        0.0720742,
        0.0764943,
        0.0834052,
        0.0895806,
        0.0976245,
        0.108138,
        0.12271,
        0.138712,
        0.162208,
        0.201167,
        0.280601,
        0.391909,
        0.302307,
        0.225046,
        0.178896,
        0.141764,
        0.122659,
        0.112137,
        0.103831,
        0.088941,
        0.0819051,
        0.0741182,
        0.0698377,
        0.0669045,
        0.0628605,
        0.0618883,
        0.0597659,
        0.0567547,
        0.0555661,
        0.0545912,
        0.0535946,
        0.0515083,
        0.0511296,
        0.0510267,
        0.0520262,
        0.0525789,
        0.0588267,
        0.0631182,
        0.0596509,
        0.0621112,
        0.0642819,
        0.065272,
        0.0643651,
        0.0627006,
        0.0663005,
        0.0740875,
        0.0791747,
        0.0746697,
        0.0717883,
        0.0636018,
        0.0572898,
        0.0563312,
        0.0609749,
        0.0699369,
        0.0804026,
        0.0849092,
        0.0851946,
        0.0784096,
        0.0678504,
        0.0705769,
        0.0702121,
        0.0584711,
        0.0572705,
        0.0561819,
        0.0535226,
        0.051643,
        0.0499765,
        0.0480977,
        0.0482044,
        0.048809,
        0.0488671,
        0.0492092,
        0.0484103,
        0.0482012,
        0.0468909,
        0.0452503,
        0.0445885,
        0.0446806,
        0.0439829,
        0.0447397,
        0.0452628,
        0.0453969,
        0.0457454,
        0.0453295,
        0.0455757,
        0.0460874,
        0.0469837,
        0.0466785,
        0.0470089,
        0.0474264,
        0.0480653,
        0.0506892,
        0.0555608,
        0.0640184,
        0.0754461,
        0.09017,
        0.109662,
        0.109224,
        0.0937289,
        0.0791553,
        0.0689292,
        0.0637644,
        0.0624888,
        0.0643666,
        0.0675061,
        0.0692884,
        0.0714638,
        0.0703885,
        0.0676094,
        0.0642971,
        0.0604061,
        0.0563686,
        0.0532246,
        0.0502995,
        0.0490678,
        0.0471869,
        0.0468963,
        0.0456002,
        0.0461321,
        0.0455562,
        0.0452159,
        0.0452776,
        0.0453222,
        0.0476185,
        0.0532504,
        0.0613973,
        0.0664062,
        0.0672197,
        0.0642742,
        0.0572442,
        0.0506879,
        0.0464691,
        0.0450868,
        0.0452451,
        0.0461393,
        0.0469657,
        0.0533981,
        0.0541699,
        0.0487456,
        0.0498787,
        0.0493177,
        0.0493164,
        0.0490538,
        0.0478715,
        0.0469319,
        0.0448614,
        0.0440792,
        0.0449407,
        0.0458099,
        0.0463591,
        0.0440801,
        0.0465246,
        0.0506538,
        0.050369,
        0.0536738,
        0.0570781,
        0.057771,
        0.0556356,
        0.0541071,
        0.0526653,
        0.0519878,
        0.0542714,
        0.0609373,
        0.0679901,
        0.0721336,
        0.0708614,
        0.0662096,
        0.0586808,
        0.0528715,
        0.0490168,
        0.0477065,
        0.04791,
        0.0480845,
        0.0503686,
        0.0557347,
        0.0552126,
        0.054839,
        0.0560324,
        0.0529539,
        0.0514495,
        0.0505218,
        0.0499455,
        0.049534,
        0.0528035,
        0.0616373,
        0.0702656,
        0.07594,
        0.0746099,
        0.0684123,
        0.0582739,
        0.0520376,
        0.0496296,
        0.0487583,
        0.0487201,
        0.0484675,
        0.0485171,
        0.0485561,
        0.0464397,
        0.0456151,
        0.047281,
        0.0477949,
        0.0509682,
        0.0505219,
        0.0460557,
        0.0470852,
        0.0487346,
        0.0495653,
        0.0497904,
        0.0498847,
        0.0504809,
        0.0531194,
        0.0575291,
        0.0633723,
        0.0667736,
        0.0675079,
        0.0639125,
        0.0586183,
        0.0612519,
        0.056551,
        0.0497695,
        0.0498436,
        0.0510106,
        0.0524879,
        0.0625857,
        0.0776463,
        0.0824194,
        0.0963158,
        0.107569,
        0.106015,
        0.0911292,
        0.0737349,
        0.0620966,
        0.0553169,
        0.051539,
        0.0492607,
        0.048482,
        0.0492001,
        0.0498441,
        0.0514053,
        0.0513667,
        0.0512361,
        0.051017,
        0.0507024,
        0.0510015,
        0.0533281,
        0.0596075,
        0.0680467,
        0.0764265,
        0.0786639,
        0.0776671,
        0.0695225,
        0.0613713,
        0.058668,
        0.0604657,
        0.0613283,
        0.062364,
        0.0615368,
        0.0599959,
        0.0576529,
        0.0556592,
        0.0580706,
        0.0576979,
        0.0517295,
        0.0507767,
        0.0511837,
        0.0503874,
        0.0488823,
        0.0490263,
        0.0482458,
        0.0496563,
        0.0512963,
        0.0549687,
        0.0604135,
        0.0654009,
        0.0672766,
        0.0659213,
        0.0628502,
        0.0581139,
        0.0546971,
        0.054447,
        0.0549214,
        0.0557296,
        0.0586741,
        0.0654377,
        0.0794881,
        0.0870909,
        0.0930304,
        0.0858166,
        0.0771074,
        0.0798349,
        0.0894917,
        0.0960929,
        0.0978216,
        0.0919986,
        0.0835068,
        0.0749037,
        0.0721631,
        0.0732087,
        0.0735198,
        0.0740419,
        0.073839,
        0.0704152,
        0.0690063,
        0.0648846,
        0.0615963,
        0.058607,
        0.0564728,
        0.0553628,
        0.0544941,
        0.0541417,
        0.0537967,
        0.0548402,
        0.0540977,
        0.053448,
        0.0527432,
        0.0537399,
        0.0527876,
        0.0512919,
        0.051081,
        0.0517827,
        0.0529993,
        0.0541787,
        0.0550411,
        0.0560487,
        0.0561961,
        0.0581612,
        0.055816,
        0.0567573,
        0.0577122,
        0.0580657,
        0.0624143,
        0.0657694,
        0.0708729,
        0.080534,
        0.0903049,
        0.0958222,
        0.108152,
        0.132904,
        0.129494,
        0.128982,
        0.138731,
        0.128003,
        0.1217,
        0.115247,
        0.115573,
        0.120007,
        0.128366,
        0.137728,
        0.155052,
        0.172927,
        0.194943,
        0.227311,
        0.280527,
        0.251059,
        0.210631,
        0.177002,
        0.150909,
        0.139706,
        0.134574,
        0.138524,
        0.148788,
        0.145683,
        0.134252,
        0.119623,
        0.0989692,
        0.0855768,
        0.0769763,
        0.0720761,
        0.068445,
        0.0679527,
        0.0657195,
        0.0644369,
        0.0630281,
        0.0620993,
        0.0605612,
        0.0610053,
        0.0611865,
        0.0623283,
        0.0632386,
        0.0634899,
        0.0629339,
        0.0616311,
        0.0628329,
        0.0676512,
        0.0724165,
        0.0830297,
        0.0761592,
        0.072902,
        0.06691,
        0.0621698,
        0.0593747,
        0.0588625,
        0.0584919,
        0.0600131,
        0.0609265,
        0.0618176,
        0.0665982,
        0.0743998,
        0.0833712,
        0.0889208,
        0.0885076,
        0.0847596,
        0.0764259,
        0.0671176,
        0.0644126,
        0.0625718,
        0.061665,
        0.0613588,
        0.0611272,
        0.0613783,
        0.061732,
        0.0617259,
        0.0633277,
        0.0652383,
        0.0660236,
        0.0699158,
        0.0784573,
        0.0909742,
        0.100265,
        0.106101,
        0.0992613,
        0.0842173,
        0.0728265,
        0.0666203,
        0.063346,
        0.0603156,
        0.0586721,
        0.0587948,
        0.0588728,
        0.0576729,
        0.057418,
        0.056431,
        0.0567071,
        0.0563753,
        0.0576204,
        0.0577281,
        0.0576666,
        0.0586934,
        0.0581434,
        0.0598376,
        0.0599056,
        0.0605743,
        0.0622525,
        0.0642757,
        null,
        0.05974,
        0.0593755,
        0.0579481,
        0.0549818,
        0.0531421,
        0.0520042,
        0.0506198,
        0.049432,
        0.0485926,
        0.0480704,
        0.0482641,
        0.0482962,
        0.0483451,
        0.0486246,
        0.0483855,
        0.0481343,
        0.0485374,
        0.0507655,
        0.0554015,
        0.0625498,
        0.0713373,
        0.078322,
        0.0807608,
        0.075825,
        0.0677907,
        0.0618258,
        0.0570784,
        0.054167,
        0.0538247,
        0.0552845,
        0.0564678,
        0.0579615,
        0.0592868,
        0.0621116,
        0.06573,
        0.0703688,
        0.0768371,
        0.085392,
        0.0949507,
        0.106608,
        0.127293,
        0.165134,
        0.228981,
        0.330698,
        0.23559,
        0.177956,
        0.146471,
        0.128,
        0.11898,
        0.123867,
        0.13161,
        0.126946,
        0.114141,
        0.0956435,
        0.0799401,
        0.0702447,
        0.0726833,
        0.0764998,
        0.0634345,
        0.0565519,
        0.0557998,
        0.0566397,
        0.0615367,
        0.0647774,
        0.0643289,
        0.0613295,
        0.0556678,
        0.0515712,
        0.0498313,
        0.0490961,
        0.0479814,
        0.0478388,
        0.0474696,
        0.0464762,
        0.0457833,
        0.0460695,
        0.0467083,
        0.0482432,
        0.051961,
        0.0603593,
        0.0746762,
        0.0887213,
        0.0951932,
        0.085497,
        0.0677996,
        0.0560441,
        0.0497721,
        0.0468578,
        0.0455268,
        0.0445487,
        0.0432462,
        0.0428742,
        0.0427027,
        0.0425139,
        0.042784,
        0.0429944,
        0.0430243,
        0.0426508,
        0.0422758,
        0.0423575,
        0.0429519,
        0.0432741,
        0.0428393,
        0.0419856,
        0.0411541,
        0.0408901,
        0.0407759,
        0.0407899,
        0.0410975,
        0.041251,
        0.0415069,
        0.0414969,
        0.0416576,
        0.042265,
        0.0426962,
        0.0429022,
        0.0424019,
        0.0418621,
        0.0421042,
        0.04302,
        0.045084,
        0.0516828,
        0.0605691,
        0.0659967,
        0.0665723,
        0.0611499,
        0.0535461,
        0.0488429,
        0.0492671,
        0.0546852,
        0.0650561,
        0.0741593,
        0.0762699,
        0.0710427,
        0.0604551,
        0.0528479,
        0.0483784,
        0.0459374,
        0.0444761,
        0.0436259,
        0.0457563,
        0.0449671,
        0.041234,
        0.0404456,
        0.0400265,
        0.0398109,
        0.0397256,
        0.0403633,
        0.0405759,
        0.0408252,
        0.0413295,
        0.0420653,
        0.0425305,
        0.0440011,
        0.0458067,
        0.048396,
        0.0507936,
        0.0524074,
        0.0536878,
        0.0555177,
        0.0599197,
        0.0673032,
        0.0726511,
        0.0713899,
        0.0639289,
        0.0543633,
        0.0477362,
        0.0491474,
        0.0473877,
        0.0422786,
        0.041664,
        0.0423685,
        0.0453828,
        0.050309,
        0.0539357,
        0.0547344,
        0.0523052,
        0.0470364,
        0.0426556,
        0.0408337,
        0.039852,
        0.0394221,
        0.0402621,
        0.0401946,
        0.0387791,
        0.0389348,
        0.0404351,
        0.0428961,
        0.0447113,
        0.0452829,
        0.0461021,
        0.0462273,
        0.047427,
        0.0524319,
        0.0651894,
        0.0735066,
        0.0603257,
        0.0530755,
        0.0464693,
        0.0446659,
        0.0476409,
        0.0554172,
        0.0640495,
        0.0678437,
        0.0638359,
        0.0552623,
        0.0476788,
        0.0431456,
        0.0413182,
        0.0404224,
        0.0398895,
        0.0398678,
        0.0400702,
        0.0406505,
        0.0413733,
        0.0419511,
        0.0423144,
        0.0429762,
        0.0438821,
        0.0449147,
        0.0455248,
        0.0461143,
        0.0462742,
        0.0449985,
        0.0432941,
        0.042919,
        0.0433098,
        0.0430063,
        0.0474261,
        0.0478002,
        0.0444888,
        0.0464736,
        0.0503591,
        0.0572371,
        0.0647866,
        0.0714391,
        0.0727243,
        0.0704068,
        0.0638667,
        0.0569945,
        0.0511115,
        0.0479399,
        0.0469898,
        0.0468226,
        0.0456312,
        0.0448551,
        0.0444044,
        0.0443561,
        0.0473682,
        0.0455752,
        0.0438589,
        0.0439794,
        0.0435856,
        0.0432142,
        0.0423103,
        0.0416412,
        0.0412315,
        0.041075,
        0.0416787,
        0.0431566,
        0.0474192,
        0.0553319,
        0.0646416,
        0.0722297,
        0.070895,
        0.0623938,
        0.0541013,
        0.0507129,
        0.0495825,
        0.0502174,
        0.0510381,
        0.0527863,
        0.0559556,
        0.0642414,
        0.0730271,
        0.076059,
        0.0743514,
        0.0667096,
        0.060361,
        0.0646537,
        0.0718538,
        0.0755539,
        0.0746555,
        0.0689575,
        0.0622438,
        0.05814,
        0.0606049,
        0.066729,
        0.0707247,
        0.0702781,
        0.0647136,
        0.0596594,
        0.0574162,
        0.0570984,
        0.0583171,
        0.0617534,
        0.0642171,
        0.0682835,
        0.0720335,
        0.0751585,
        0.0775593,
        0.0791601,
        0.0841893,
        0.0946501,
        0.111597,
        0.146909,
        0.198708,
        0.293899,
        0.239594,
        0.165996,
        0.131813,
        0.108296,
        0.102318,
        0.0923849,
        0.0764328,
        0.0721182,
        0.0677078,
        0.0655564,
        0.062274,
        0.0605274,
        0.0586457,
        0.0557888,
        0.0532453,
        0.0521701,
        0.0506624,
        0.0495649,
        0.0490952,
        0.0492287,
        0.0485521,
        0.0486716,
        0.0482536,
        0.0471926,
        0.0460354,
        0.0452588,
        0.0448306,
        0.0446025,
        0.0465466,
        0.049923,
        0.0510491,
        0.0557263,
        0.0589862,
        0.05981,
        0.0605602,
        0.0624716,
        0.0661399,
        0.0674042,
        0.0644124,
        0.0576662,
        0.0503961,
        0.0472635,
        0.0466005,
        0.0474922,
        0.0514661,
        0.0597497,
        0.0689038,
        0.0751299,
        0.0735581,
        0.0647513,
        0.0569851,
        0.0513229,
        0.0482684,
        0.0458812,
        0.0438119,
        0.0429043,
        0.0423846,
        0.0420926,
        0.0425462,
        0.04327,
        0.0443883,
        0.0457321,
        0.0472477,
        0.0480971,
        0.0476683,
        0.0472533,
        0.0465061,
        0.0451269,
        0.0450347,
        0.0455554,
        0.0461913,
        0.0471176,
        0.0501231,
        0.0529238,
        0.0561444,
        0.0582171,
        0.0592762,
        0.0589911,
        0.0611711,
        0.0699536,
        0.078051,
        0.0827283,
        0.0814801,
        0.0760414,
        0.0716368,
        0.0717697,
        0.076059,
        0.0820789,
        0.08462,
        0.0808582,
        0.0744205,
        0.067664,
        0.0643062,
        0.0655352,
        0.0680685,
        0.0702645,
        0.0711032,
        0.0696825,
        0.0703219,
        0.0711972,
        0.0694996,
        0.0672829,
        0.0643126,
        0.0635305,
        0.0647355,
        0.0672125,
        0.0705107,
        0.0744308,
        0.0774542,
        0.0780487,
        0.0792187,
        0.0812556,
        0.0912119,
        0.107047,
        0.128878,
        0.15336,
        0.167141,
        0.151917,
        0.131816,
        0.111918,
        0.103333,
        0.0995308,
        0.0914285,
        0.096555,
        0.100452,
        0.104157,
        0.10861,
        0.108229,
        0.109847,
        0.111657,
        0.11591,
        0.122307,
        0.130859,
        0.144528,
        0.150818,
        0.150256,
        0.155646,
        0.161133,
        0.172151,
        0.187123,
        0.194276,
        0.205953,
        0.217998,
        0.237436,
        0.250257,
        0.290622,
        0.271892,
        0.216144,
        0.201788,
        0.160807,
        0.110231,
        0.0918907,
        0.0811674,
        0.0726365,
        0.0664579,
        0.0614868,
        0.0569378,
        0.0546073,
        0.0527594,
        0.0505783,
        0.0495988,
        0.0493958,
        0.0487988,
        0.0496829,
        0.0523125,
        0.0674559,
        0.0777019,
        0.0711736,
        0.0670727,
        0.0589485,
        0.0499595,
        0.0437403,
        0.0415698,
        0.04058,
        0.040671,
        0.0419931,
        0.0434768,
        0.0441446,
        0.0439072,
        0.0425244,
        0.0411455,
        0.0408919,
        0.0412572,
        0.0439247,
        0.0502338,
        0.0594121,
        0.0690089,
        0.0779817,
        0.0867142,
        0.0918647,
        0.0895797,
        0.0802355,
        0.0637178,
        0.0504692,
        0.0437007,
        0.0399149,
        0.0378142,
        0.0366882,
        0.0364078,
        0.0360178,
        0.035859,
        0.0356792,
        0.0359723,
        0.0368016,
        0.0364516,
        0.0363717,
        0.0364453,
        0.037538,
        0.0400111,
        0.0461126,
        0.05396,
        0.058434,
        0.0584384,
        0.0527456,
        0.0465006,
        0.0440305,
        0.04638,
        0.0502047,
        0.0524272,
        0.050705,
        0.0456295,
        0.0404127,
        0.0379915,
        0.0410586,
        0.038984,
        0.0340117,
        0.0342275,
        0.0338025,
        0.0336688,
        0.0336529,
        0.0336977,
        0.0336814,
        0.0337316,
        0.0337521,
        0.0337301,
        0.0337507,
        0.0378299,
        0.0392523,
        0.0345388,
        0.0345511,
        0.0348255,
        0.0351138,
        0.035526,
        0.0364148,
        0.0375735,
        0.0378193,
        0.0400587,
        0.0439234,
        0.0468341,
        0.0491933,
        0.0494198,
        0.0474357,
        0.0447727,
        0.0433352,
        0.0434971,
        0.044196,
        0.0450989,
        0.0471362,
        0.0518077,
        0.0572478,
        0.0590993,
        0.0582319,
        0.0536256,
        0.0463145,
        0.0424867,
        0.0408139,
        0.0405645,
        0.0417005,
        0.0435905,
        0.0491244,
        0.0543781,
        0.0574983,
        0.0572033,
        0.0598963,
        0.0514658,
        0.039525,
        0.0369349,
        0.0355056,
        0.0347123,
        0.034127,
        0.0339141,
        0.0340275,
        0.0341189,
        0.0340838,
        0.0339231,
        0.0339108,
        0.033782,
        0.0341235,
        0.0349818,
        0.0358509,
        0.036635,
        0.0361709,
        0.0360415,
        0.0353271,
        0.0347652,
        0.0349642,
        0.0347498,
        0.0350539,
        0.0351073,
        0.0358358,
        0.0376305,
        0.0398985,
        0.0419345,
        0.0433448,
        0.0436407,
        0.0440377,
        0.0456374,
        0.0525824,
        0.0606959,
        0.0687842,
        0.0844093,
        0.0785953,
        0.0649328,
        0.0583545,
        0.0533404,
        0.0483692,
        0.0455534,
        0.0450799,
        0.0465163,
        0.0478032,
        0.0503547,
        0.0536444,
        0.0585994,
        0.0659422,
        0.074037,
        0.0810322,
        0.0817856,
        0.0772691,
        0.0691499,
        0.0591924,
        0.0529865,
        0.0497115,
        0.046983,
        0.0456492,
        0.045371,
        0.045729,
        0.0460968,
        0.0482379,
        0.0537115,
        0.0624907,
        0.0723477,
        0.0811168,
        0.0830619,
        0.0720256,
        0.0593841,
        0.0497173,
        0.0429914,
        0.0393468,
        0.0376543,
        0.0369456,
        0.0377148,
        0.0367397,
        0.0358806,
        0.0359716,
        0.0362526,
        0.0368378,
        0.037514,
        0.044386,
        0.0444091,
        0.0370698,
        0.0369716,
        0.0428875,
        0.0424569,
        0.0356363,
        0.0357295,
        0.0360887,
        0.03632,
        0.0363551,
        0.0374642,
        0.0408471,
        0.0444491,
        0.04807,
        0.0485783,
        0.044507,
        0.040765,
        0.0376796,
        0.0365553,
        0.0361649,
        0.0363549,
        0.0363411,
        0.0365223,
        0.0366544,
        0.0385342,
        0.0424507,
        0.0477498,
        0.052029,
        0.0517679,
        0.0480533,
        0.0432884,
        0.0394257,
        0.0378517,
        0.0373354,
        0.0369154,
        0.0367484,
        0.0366621,
        0.0369533,
        0.0378067,
        0.038704,
        0.0393881,
        0.0395386,
        0.0394787,
        0.0388248,
        0.0386746,
        0.0390192,
        0.0401721,
        0.041774,
        0.0429757,
        0.0430422,
        0.0430932,
        0.0422728,
        0.041122,
        0.0411998,
        0.0419586,
        0.0487874,
        0.0571166,
        0.0594091,
        0.0670607,
        0.0690228,
        0.0617874,
        0.053508,
        0.0486928,
        0.0451313,
        0.0444575,
        0.0441698,
        0.0447148,
        0.0452112,
        0.046247,
        0.0483771,
        0.0521568,
        0.0560552,
        0.0588719,
        0.0591743,
        0.0579729,
        0.0564053,
        0.0567451,
        0.0586674,
        0.064595,
        0.0680711,
        0.0695388,
        0.0687254,
        0.0674223,
        0.0723116,
        0.0867767,
        0.112306,
        0.134246,
        0.140112,
        0.129067,
        0.110263,
        0.0967491,
        0.0965851,
        0.108579,
        0.127584,
        0.158514,
        0.219011,
        0.324876,
        0.384305,
        0.242029,
        0.173366,
        0.130928,
        0.107395,
        0.0922141,
        0.0833623,
        0.0783587,
        0.0772672,
        0.0807771,
        0.08893,
        0.0949088,
        0.110294,
        0.103169,
        0.0801301,
        0.07374,
        0.0738146,
        0.0745051,
        0.0752988,
        0.0782649,
        0.0806903,
        0.0904112,
        0.096878,
        0.0926565,
        0.0945287,
        0.0973073,
        0.100324,
        0.102392,
        0.104952,
        0.105238,
        0.108034,
        0.115393,
        0.121345,
        0.134807,
        0.151477,
        0.175918,
        0.208978,
        0.240204,
        0.263263,
        0.282983,
        0.329545,
        0.280016,
        0.244998,
        0.20535,
        0.186558,
        0.17136,
        0.155731,
        0.146574,
        0.140551,
        0.137058,
        0.132557,
        0.12982,
        0.129485,
        0.134696,
        0.148909,
        0.142646,
        0.15418,
        0.174411,
        0.194597,
        0.238264,
        0.297539,
        0.391794,
        0.287843,
        0.237785,
        0.202603,
        0.182158,
        0.178839,
        0.176094,
        0.187592,
        0.188876,
        0.160139,
        0.128899,
        0.101793,
        0.0832655,
        0.0749041,
        0.0702253,
        0.0733116,
        0.0697314,
        0.0675064,
        0.0584071,
        0.0562988,
        0.0549029,
        0.0532945,
        0.0519098,
        0.0515273,
        0.0526246,
        0.055297,
        0.0532861,
        0.0536207,
        0.0528207,
        0.0515417,
        0.0512525,
        0.0513488,
        0.052044,
        0.0562145,
        0.0641131,
        0.0719236,
        0.0719141,
        0.0682044,
        0.0607116,
        0.0545552,
        0.0512264,
        0.0524425,
        0.0566215,
        0.0611907,
        0.0642386,
        0.0625301,
        0.0565026,
        0.0504734,
        0.0467124,
        0.0447583,
        0.0439574,
        0.0430289,
        0.0423453,
        0.0428609,
        0.0438245,
        0.0433562,
        0.0418767,
        0.0418513,
        0.042314,
        0.0404016,
        0.0402075,
        0.0403796,
        0.0414825,
        0.0422728,
        0.0449649,
        0.0477691,
        0.0500719,
        0.0487426,
        0.0577322,
        0.0512167,
        0.0401725,
        0.0393373,
        0.0393383,
        0.0379449,
        0.0391481,
        0.038572,
        0.0388114,
        0.0394393,
        0.0397011,
        0.0402708,
        0.0401633,
        0.0399338,
        0.0399144,
        0.0404606,
        0.0426446,
        0.0468106,
        0.0507632,
        0.0512236,
        0.0488038,
        0.0446167,
        0.0409649,
        0.0401966,
        0.039849,
        0.0396342,
        0.0403428,
        0.0400349,
        0.0392812,
        0.0417583,
        0.041675,
        0.0409785,
        0.0403903,
        0.0391271,
        0.0386936,
        0.0387706,
        0.0392139,
        0.0391454,
        0.0394852,
        0.0397549,
        0.0402513,
        0.0408138,
        0.0415437,
        0.0421803,
        0.043107,
        0.0441153,
        0.045338,
        0.0498411,
        0.0572943,
        0.0675983,
        0.076519,
        0.0826136,
        0.0851827,
        0.0817759,
        0.0773964,
        0.07857,
        0.0790402,
        0.0823344,
        0.0894149,
        0.105052,
        0.129279,
        0.164597,
        0.2147,
        0.224519,
        0.203247,
        0.169581,
        0.129791,
        0.107526,
        0.0936556,
        0.0880999,
        0.0832898,
        0.078522,
        0.0712165,
        0.0647497,
        0.0584897,
        0.0531504,
        0.050081,
        0.0478985,
        0.0465356,
        0.0463076,
        0.0461485,
        0.0458988,
        0.0474361,
        0.0518417,
        0.0593926,
        0.069444,
        0.0783395,
        0.0825504,
        0.0756656,
        0.0662041,
        0.0580641,
        0.0566502,
        0.0584508,
        0.0595331,
        0.0589121,
        0.0547377,
        0.0478282,
        0.0425654,
        0.0399533,
        0.0389217,
        0.0389429,
        0.038911,
        0.0393142,
        0.0405657,
        0.0414123,
        0.0420623,
        0.0493484,
        0.0474591,
        0.0422107,
        0.0489243,
        0.0534381,
        0.0528621,
        0.0534425,
        0.0495634,
        0.0449762,
        0.0407384,
        0.0386801,
        0.0382756,
        0.0376082,
        0.0375707,
        0.0370139,
        0.0371834,
        0.0373639,
        0.0372292,
        0.0376742,
        0.0381287,
        0.0394558,
        0.0419003,
        0.0449297,
        0.0462546,
        0.0460938,
        0.0451448,
        0.0425565,
        0.039996,
        0.0396474,
        0.040028,
        0.040968,
        0.0418744,
        0.0422062,
        0.0417601,
        0.0415122,
        0.042337,
        0.0437734,
        0.0451363,
        0.0457091,
        0.0479853,
        0.0472215,
        0.0446159,
        0.0437209,
        0.0441527,
        0.0473533,
        0.0521239,
        0.0585262,
        0.0611094,
        0.0589841,
        0.0544652,
        0.0485319,
        0.0486621,
        0.0487356,
        0.0454772,
        0.0434372,
        0.0441498,
        0.0472795,
        0.0544432,
        0.0626595,
        0.0661094,
        0.0662708,
        0.0612813,
        0.053283,
        0.0484999,
        0.0472235,
        0.0473893,
        0.0473691,
        0.048128,
        0.0488973,
        0.0496266,
        0.0505499,
        0.0516743,
        0.0521223,
        0.0543554,
        0.0560811,
        0.0606481,
        0.0651789,
        0.0681366,
        0.0719284,
        0.0720395,
        0.0704437,
        0.0713043,
        0.0757322,
        0.0812822,
        0.0856308,
        0.0940434,
        0.105264,
        0.112529,
        0.127754,
        0.146716,
        0.178715,
        0.263463,
        0.322162,
        0.247007,
        0.193647,
        0.156084,
        0.131475,
        0.114443,
        0.103062,
        0.0937503,
        0.0872326,
        0.0816107,
        0.0771267,
        0.0735734,
        0.0701682,
        0.0672011,
        0.067729,
        0.0672589,
        0.0657285,
        0.0661983,
        0.0705148,
        0.0771132,
        0.0884908,
        0.0946335,
        0.0934027,
        0.089367,
        0.0832639,
        0.0819741,
        0.105438,
        0.107608,
        0.0951082,
        0.102916,
        0.115317,
        0.141295,
        0.17889,
        0.228006,
        0.313561,
        0.418995,
        0.341229,
        0.238779,
        0.210717,
        0.163056,
        0.115391,
        0.0978506,
        0.084171,
        0.075138,
        0.0669123,
        0.0617,
        0.0603337,
        0.0610355,
        0.0627686,
        0.0619829,
        0.0600107,
        0.0567937,
        0.0528607,
        0.0495251,
        0.0471331,
        0.0474937,
        0.0459654,
        0.0447468,
        0.0446235,
        0.0464074,
        0.0460343,
        0.0433121,
        0.0411609,
        0.0427045,
        0.0417087,
        0.0420602,
        0.0426454,
        0.0434542,
        0.0440612,
        0.0444042,
        0.0443268,
        0.0433643,
        0.0418465,
        0.0422106,
        0.0445014,
        0.0490996,
        0.0532812,
        0.0544462,
        0.0528854,
        0.0494398,
        0.04495,
        0.0427848,
        0.041552,
        0.0411264,
        0.0464319,
        0.0497761,
        0.0430964,
        0.0439562,
        0.0441408,
        0.043744,
        0.043698,
        0.0428563,
        0.0430978,
        0.0429482,
        0.0430196,
        0.0434848,
        0.0495004,
        0.0510523,
        0.0463457,
        0.0475202,
        0.0506436,
        0.0534414,
        0.056363,
        0.0587171,
        0.0616346,
        0.0676723,
        0.0847663,
        0.0933262,
        0.0840307,
        0.0830917,
        0.080455,
        0.0825353,
        0.0901369,
        0.0971416,
        0.109772,
        0.133935,
        0.165196,
        0.218689,
        0.280352,
        0.337878,
        0.233194,
        0.178491,
        0.141423,
        0.119426,
        0.110283,
        0.100326,
        0.0922618,
        0.083518,
        0.0709669,
        0.0615507,
        0.056763,
        0.0541335,
        0.0518105,
        0.0493778,
        0.0478935,
        0.0475544,
        0.0465814,
        0.0456925,
        0.0467298,
        0.0480027,
        0.0492195,
        0.0499241,
        0.0458991,
        0.044948,
        0.0443745,
        0.0454642,
        0.0487128,
        0.0541779,
        0.060947,
        0.0682633,
        0.0744856,
        0.0775869,
        0.0757674,
        0.0778812,
        0.0745203,
        0.0666503,
        0.0560651,
        0.0493315,
        0.0453632,
        0.0432003,
        0.0476619,
        0.0487245,
        0.0418092,
        0.0399976,
        0.0404251,
        0.0407013,
        0.0398856,
        0.0403308,
        0.040363,
        0.0404681,
        0.041786,
        0.0450078,
        0.0496353,
        0.0531284,
        0.0553671,
        0.0533892,
        0.0484631,
        0.0441256,
        0.0420584,
        0.0414027,
        0.0410431,
        0.0425032,
        0.0454104,
        0.0468496,
        0.0490732,
        0.0481381,
        0.0461589,
        0.0513147,
        0.0644172,
        0.051865,
        0.0429639,
        0.0444683,
        0.0446151,
        0.0454714,
        0.0449788,
        0.0444833,
        0.044765,
        0.0452567,
        0.0472331,
        0.0497192,
        0.0517752,
        0.0551827,
        0.05709,
        0.0571833,
        0.0577243,
        0.0593881,
        0.0619298,
        0.0695149,
        0.074373,
        0.0756052,
        0.0823428,
        0.0903949,
        0.0997212,
        0.115813,
        0.135372,
        0.161748,
        0.194135,
        0.240574,
        0.286965,
        0.364189,
        0.280611,
        0.223108,
        0.190141,
        0.163305,
        0.137199,
        0.108018,
        0.0895741,
        0.0781632,
        0.070656,
        0.0660987,
        0.0650847,
        0.0641472,
        0.0617519,
        0.0598752,
        0.0546816,
        0.0508296,
        0.0481473,
        0.0467401,
        0.0450921,
        0.0452616,
        0.0445072,
        0.0436271,
        0.0432737,
        0.041996,
        0.0409977,
        0.0409788,
        0.0406246,
        0.0405472,
        0.040538,
        0.0403428,
        0.0402338,
        0.0407068,
        0.0402825,
        0.0404685,
        0.040251,
        0.0397884,
        0.0401761,
        0.0407676,
        0.0453536,
        0.0458626,
        0.0431293,
        0.0457534,
        0.0497071,
        0.05401,
        0.0546244,
        0.0515622,
        0.0478756,
        0.0445162,
        0.0431736,
        0.0432636,
        0.0445461,
        0.0472988,
        0.0527928,
        0.0596681,
        0.0615178,
        0.0612605,
        0.0571867,
        0.0520954,
        0.0495687,
        0.0491566,
        0.0493998,
        0.0499387,
        0.0529789,
        0.0547329,
        0.0527229,
        0.0534074,
        0.0533666,
        0.0594467,
        0.0598534,
        0.0583946,
        0.0676203,
        0.0774194,
        0.0815354,
        0.089122,
        0.0820717,
        0.0708684,
        0.0616067,
        0.0542766,
        0.0501491,
        0.0477047,
        0.0463106,
        0.0456371,
        0.043971,
        0.0429549,
        0.0428621,
        0.0416019,
        0.0416141,
        0.0446467,
        0.0445624,
        0.0429919,
        0.045677,
        0.0512599,
        0.055121,
        0.0572799,
        0.0554187,
        0.0509604,
        0.0456169,
        0.0437169,
        0.0433146,
        0.0444209,
        0.055723,
        0.0550631,
        0.0496492,
        0.048043,
        0.0457286,
        0.0430042,
        0.0418864,
        0.0409322,
        0.0412743,
        0.0417479,
        0.0417217,
        0.0419312,
        0.0424832,
        0.0413251,
        0.042391,
        0.0470873,
        0.0491785,
        0.0453846,
        0.0446703,
        0.0445269,
        0.0432637,
        0.0427408,
        0.043041,
        0.0439174,
        0.0447233,
        0.0444159,
        0.0448108,
        0.0450117,
        0.0440989,
        0.0432782,
        0.042462,
        0.043103,
        0.0439444,
        0.0478962,
        0.0528863,
        0.0552171,
        0.0576393,
        0.0561818,
        0.0527282,
        0.0486012,
        0.0450081,
        0.0442809,
        0.0432192,
        0.0427306,
        0.0427942,
        0.0432831,
        0.0439107,
        0.0451805,
        0.0453268,
        0.0464388,
        0.049067,
        0.050467,
        0.050774,
        0.0498355,
        0.0481033,
        0.046751,
        0.0449164,
        0.0499436,
        0.0510245,
        0.0461656,
        0.0474065,
        0.0510403,
        0.0560335,
        0.0628638,
        0.0685544,
        0.0704601,
        0.0693012,
        0.0645327,
        0.060315,
        0.0586238,
        0.0607727,
        0.0629285,
        0.0653343,
        0.0695954,
        0.0791796,
        0.0871479,
        0.0858934,
        0.0897409,
        0.0969505,
        0.100396,
        0.10383,
        0.111707,
        0.124794,
        0.141185,
        0.168986,
        0.212459,
        0.299994,
        0.379589,
        0.258248,
        0.199315,
        0.147525,
        0.124561,
        0.109914,
        0.096857,
        0.088043,
        0.0794851,
        0.0756215,
        0.0723103,
        0.068818,
        0.0646886,
        0.0617597,
        0.0596099,
        0.0590857,
        0.0577866,
        0.0552757,
        0.0547466,
        0.054647,
        0.0629891,
        0.06434,
        0.0590157,
        0.0645418,
        0.0728619,
        0.0866317,
        0.0986179,
        0.0975448,
        0.0848591,
        0.0718053,
        0.0622177,
        0.0562484,
        0.0548032,
        0.0568946,
        0.0603712,
        0.0623617,
        0.0637984,
        0.0608059,
        0.0557476,
        0.0511312,
        0.0479412,
        0.047373,
        0.0469893,
        0.0544809,
        0.0571293,
        0.0527846,
        0.0490475,
        0.0488274,
        0.0485424,
        0.0512335,
        0.0559865,
        0.0641677,
        0.0688453,
        0.073799,
        0.0719135,
        0.0676792,
        0.0618322,
        0.057561,
        0.0571844,
        0.0550602,
        0.0540915,
        0.0565454,
        0.0589592,
        0.0614868,
        0.0673297,
        0.0734741,
        0.0774704,
        0.081014,
        0.0797738,
        0.0766598,
        0.0719447,
        0.0675455,
        0.0625944,
        0.060704,
        0.0593215,
        0.0558807,
        0.0535379,
        0.0524666,
        0.050123,
        0.0497607,
        0.0486939,
        0.0509671,
        0.0531516,
        0.0485477,
        0.0482079,
        0.0484391,
        0.0479077,
        0.0484572,
        0.047823,
        0.0494051,
        0.0526699,
        0.0559668,
        0.0593048,
        0.0614188,
        0.0610839,
        0.0578241,
        0.0536145,
        0.0512015,
        0.0501288,
        0.050019,
        0.0503332,
        0.0542195,
        0.0613391,
        0.0678055,
        0.0721084,
        0.0711669,
        0.065829,
        0.05945,
        0.05145,
        0.0480191,
        0.0467063,
        0.0467129,
        0.0462266,
        0.0484963,
        0.0487847,
        0.0467041,
        0.0463046,
        0.0456346,
        0.0459044,
        0.0467029,
        0.0472403,
        0.046253,
        0.045602,
        0.0456351,
        0.0461224,
        0.0465263,
        0.0463109,
        0.0474492,
        0.0482168,
        0.0501701,
        0.0506536,
        0.0495644,
        0.0504066,
        0.0500453,
        0.0494146,
        0.0489577,
        0.0481117,
        0.0482939,
        0.0487747,
        0.0492689,
        0.0504616,
        0.0510713,
        0.0537569,
        0.0579542,
        0.0611456,
        0.0626003,
        0.061703,
        0.0578907,
        0.0547381,
        0.052011,
        0.0510097,
        0.0512086,
        0.0517265,
        0.0524593,
        0.0526526,
        0.053432,
        0.055242,
        0.0584977,
        0.0656179,
        0.0728452,
        0.0712086,
        0.0717712,
        0.0674562,
        0.0616072,
        0.0582919,
        0.0573483,
        0.0585234,
        0.0595252,
        0.060165,
        0.0617534,
        0.0674397,
        0.071652,
        0.0727766,
        0.0825189,
        0.0982493,
        0.113489,
        0.121476,
        0.133109,
        0.128714,
        0.125458,
        0.119935,
        0.118883,
        0.121097,
        0.120699,
        0.125749,
        0.142493,
        0.163108,
        0.190438,
        0.246989,
        0.357742,
        0.451582,
        0.346816,
        0.245654,
        0.213263,
        0.198339,
        0.182048,
        0.171961,
        0.153756,
        0.135357,
        0.116688,
        0.103578,
        0.0921746,
        0.085613,
        0.0820555,
        0.0782704,
        0.0773247,
        0.0774668,
        0.0768565,
        0.077358,
        0.0759363,
        0.0746102,
        0.0746996,
        0.074138,
        0.0734283,
        0.0743211,
        0.0767711,
        0.0900441,
        0.0884349,
        0.0911767,
        0.100578,
        0.120324,
        0.127032,
        0.126158,
        0.145134,
        0.175639,
        0.213943,
        0.279303,
        0.393612,
        0.336847,
        0.277524,
        0.246533,
        0.224146,
        0.187728,
        0.185469,
        0.206637,
        0.228295,
        0.270157,
        0.337657,
        0.307164,
        0.295544,
        0.241397,
        0.223,
        0.201425,
        0.178398,
        0.157262,
        0.141969,
        0.126231,
        0.113042,
        0.106369,
        0.0985455,
        0.0936762,
        0.0889688,
        0.0912228,
        0.0955945,
        0.0955166,
        0.0944366,
        0.0872242,
        0.0799758,
        0.0713762,
        0.0670773,
        0.0658149,
        0.0634679,
        0.0622249,
        0.0621896,
        0.0605737,
        0.0599857,
        0.0597198,
        0.0589078,
        0.0588689,
        0.0666535,
        0.0678593,
        0.0565627,
        0.0563568,
        0.0557614,
        0.0563152,
        0.0557241,
        0.0551299,
        0.0548647,
        0.0559342,
        0.0584954,
        0.061665,
        0.0647241,
        0.0649633,
        0.063863,
        0.060743,
        0.0567927,
        0.054806,
        0.0537539,
        0.054113,
        0.0541199,
        0.0553712,
        0.0553645,
        0.0556758,
        0.0568878,
        0.054921,
        0.0542272,
        0.0531849,
        0.0540949,
        0.054688,
        0.0547316,
        0.0544557,
        0.0548453,
        0.0549668,
        0.0553424,
        0.0542835,
        0.054093,
        0.0552663,
        0.0572251,
        0.0575549,
        0.0597137,
        0.0659187,
        0.0723142,
        0.0744945,
        0.0753839,
        0.0709242,
        0.065543,
        0.062475,
        0.0646999,
        0.0694058,
        0.0761462,
        0.0785318,
        0.0808516,
        0.0799176,
        0.0752009,
        0.0715046,
        0.0686535,
        0.0677264,
        0.0651045,
        0.065638,
        0.0648599,
        0.0676269,
        0.0753986,
        0.0818146,
        0.0822906,
        0.0819816,
        0.0765492,
        0.073016,
        0.0708183,
        0.073234,
        0.0719633,
        0.0718218,
        0.0708535,
        0.0692443,
        0.0705749,
        0.0757306,
        0.0807774,
        0.0848311,
        0.0866158,
        0.0866324,
        0.0810001,
        0.0779766,
        0.0773039,
        0.0787842,
        0.0799544,
        0.0850492,
        0.090767,
        0.0993795,
        0.106395,
        0.112356,
        0.111971,
        0.115295,
        0.114838,
        0.11406,
        0.113741,
        0.11859,
        0.11831,
        0.129274,
        0.142662,
        0.15844,
        0.178486,
        0.216539,
        0.288684,
        0.311154,
        0.246962,
        0.203504,
        0.172535,
        0.157599,
        0.152773,
        0.150432,
        0.143887,
        0.127227,
        0.111133,
        0.097826,
        0.089105,
        0.0871857,
        0.0860267,
        0.089119,
        0.0938426,
        0.0974981,
        0.0950842,
        0.0918407,
        0.0864479,
        0.0804938,
        0.0785092,
        0.0774478,
        0.0764516,
        0.0756331,
        0.0746837,
        0.0732195,
        0.0705622,
        0.0695324,
        0.0681557,
        0.0668978,
        0.0671417,
        0.0668404,
        null,
        0.230648,
        0.208066,
        0.192177,
        0.17964,
        0.182259,
        0.20058,
        0.230066,
        0.285045,
        0.372661,
        0.300201,
        0.235908,
        0.2068,
        0.190526,
        0.181493,
        0.189288,
        0.204806,
        0.228935,
        0.258536,
        0.333957,
        0.424282,
        0.369262,
        0.360019,
        null,
        0.303935,
        0.255408,
        0.22351,
        0.190359,
        0.170079,
        0.158819,
        0.14754,
        0.130008,
        0.121116,
        0.111493,
        0.101634,
        0.0974013,
        0.0925555,
        0.0894698,
        0.0849872,
        0.0860788,
        0.08321,
        0.0770212,
        0.0754518,
        0.0741075,
        0.0739321,
        0.0729192,
        0.0720076,
        0.0689412,
        0.0672657,
        0.0673634,
        0.0687738,
        0.0689828,
        0.0681783,
        0.066542,
        0.0626959,
        0.061084,
        0.0598946,
        0.0593348,
        0.0598786,
        0.0603955,
        0.0613575,
        0.0622366,
        0.0617154,
        0.0610131,
        0.0599975,
        0.0587479,
        0.0582605,
        0.0583066,
        0.0579378,
        0.0583364,
        0.0585523,
        0.0597172,
        0.0622528,
        0.0656224,
        0.0696639,
        0.0752554,
        0.0841925,
        0.094297,
        0.098681,
        0.0960886,
        0.0873853,
        0.0769039,
        0.0692967,
        0.0640538,
        0.0598729,
        0.0575143,
        0.0580042,
        0.054683,
        0.0517834,
        0.0505927,
        0.050068,
        0.0504446,
        0.0504678,
        0.0508247,
        0.05064,
        0.0513755,
        0.0532405,
        0.0544526,
        0.0548108,
        0.0546114,
        0.0527374,
        0.0506595,
        0.0501393,
        0.0499364,
        0.0494196,
        0.0494481,
        0.0485144,
        0.0484771,
        0.0487333,
        0.0501475,
        0.0535433,
        0.0576381,
        0.0613743,
        0.0640302,
        0.0625872,
        0.0592895,
        0.0568867,
        0.0555508,
        0.0580069,
        0.0631393,
        0.0671548,
        0.0698752,
        0.0715593,
        0.0725964,
        0.0763028,
        0.0806303,
        0.0843205,
        0.0841588,
        0.0820962,
        0.0749392,
        0.0696842,
        0.0657068,
        0.0623884,
        0.0603326,
        0.0584721,
        0.0568896,
        0.0538851,
        0.0517203,
        0.0497674,
        0.0491557,
        0.0476555,
        0.0474375,
        0.0499864,
        0.0472498,
        0.0446308,
        0.0445004,
        0.0443898,
        0.0452091,
        0.0471637,
        0.0488475,
        0.0492558,
        0.0484902,
        0.0484337,
        0.0527173,
        0.0550382,
        0.0511415,
        0.0493641,
        0.0467677,
        0.0447697,
        0.0440214,
        0.0445533,
        0.0449234,
        0.0459963,
        0.0466147,
        0.04774,
        0.0481535,
        0.0480824,
        0.0485513,
        0.0516367,
        0.0524419,
        0.0477451,
        0.0473109,
        0.0473572,
        0.0480026,
        0.0482098,
        0.0483624,
        0.0495899,
        0.0509646,
        0.0525012,
        0.0546136,
        0.0572852,
        0.0610155,
        0.066964,
        0.0738345,
        0.0846224,
        0.100324,
        0.114093,
        0.120139,
        0.11284,
        0.0990791,
        0.0856773,
        0.0786758,
        0.0738024,
        0.0709715,
        0.0657502,
        0.0591149,
        0.0564095,
        0.0538298,
        0.0525631,
        0.0522114,
        0.0515929,
        0.0507858,
        0.0490201,
        0.0490075,
        0.0482283,
        0.0454378,
        0.0442558,
        0.0437699,
        0.0434324,
        0.0432894,
        0.0438166,
        0.0447294,
        0.0476809,
        0.0495811,
        0.0486,
        0.0476227,
        0.0502507,
        0.0513207,
        0.0492446,
        0.0501008,
        0.0491619,
        0.0465083,
        0.0443757,
        0.0433593,
        0.0429617,
        0.0427026,
        0.0435464,
        0.0454069,
        0.0476611,
        0.0497641,
        0.0510253,
        0.0508349,
        0.0504623,
        0.0496472,
        0.0503546,
        0.0513191,
        0.0538154,
        0.0556886,
        0.0579238,
        0.0580757,
        0.0573089,
        0.0564428,
        0.0558806,
        0.0569363,
        0.0594158,
        0.064482,
        0.0697431,
        0.0749442,
        0.0787253,
        0.0875118,
        0.0878303,
        0.0754642,
        0.0699748,
        0.0683096,
        0.0680489,
        0.0683669,
        0.0667449,
        0.061826,
        0.0579587,
        0.0544512,
        0.0529091,
        0.0520403,
        0.0515355,
        0.0518882,
        0.0519811,
        0.0530332,
        0.0548435,
        0.0578483,
        0.0583853,
        0.0597796,
        0.0612348,
        0.0615176,
        0.0617839,
        0.0635957,
        0.0660514,
        0.0690924,
        0.0704228,
        0.0736223,
        0.0743396,
        0.0732471,
        0.0720863,
        0.0728189,
        0.0767004,
        0.0801898,
        0.0841535,
        0.0922906,
        0.101014,
        0.110285,
        0.124812,
        0.144537,
        0.153197,
        0.181969,
        0.207375,
        0.233394,
        0.247664,
        0.28885,
        0.331486,
        0.419334,
        0.314647,
        0.270442,
        0.223932,
        0.187388,
        0.159056,
        0.14252,
        0.126236,
        0.11525,
        0.105363,
        0.0996749,
        0.0973324,
        0.092482,
        0.0907549,
        0.0877389,
        0.0869121,
        0.0891795,
        0.0824124,
        0.0798818,
        0.07788,
        0.0838052,
        0.0828706,
        0.0741141,
        0.0747308,
        0.0743722,
        0.0726276,
        0.0701488,
        0.06744,
        0.0671039,
        0.0670938,
        0.0676571,
        0.0673036,
        0.0675956,
        0.0670185,
        0.0681367,
        0.0690882,
        0.071158,
        0.0748643,
        0.0793278,
        0.0859357,
        0.0954023,
        0.11023,
        0.136209,
        0.172075,
        0.205661,
        0.339094,
        0.300029,
        0.209287,
        0.150564,
        0.120344,
        0.0984441,
        0.0858575,
        0.0793185,
        0.0737744,
        0.0679821,
        0.0645523,
        0.0628895,
        0.0605123,
        0.0595915,
        0.0593183,
        0.0610393,
        0.0620835,
        0.0595244,
        0.0605567,
        0.0613271,
        0.0618167,
        0.0608527,
        0.0583143,
        0.0562626,
        0.0545387,
        0.053314,
        0.0531959,
        0.053104,
        0.0526924,
        0.0591568,
        0.0592077,
        0.0496328,
        0.0481494,
        0.0478656,
        0.0479205,
        0.0474249,
        0.0473552,
        0.0546182,
        0.0539878,
        0.0496695,
        0.0510464,
        0.0525583,
        0.0551827,
        0.0585171,
        0.0648759,
        0.072594,
        0.0836138,
        0.0957888,
        0.111196,
        0.130129,
        0.161325,
        0.193243,
        0.204475,
        0.185805,
        0.163181,
        0.141603,
        0.126069,
        0.116043,
        0.107957,
        0.0989325,
        0.0877128,
        0.0775268,
        0.0697352,
        0.0705371,
        0.0672726,
        0.056608,
        0.0537742,
        0.0511876,
        0.0499652,
        0.05619,
        0.0546261,
        0.0466286,
        0.0457309,
        0.0453058,
        0.045052,
        0.0443604,
        0.0449439,
        0.0461686,
        0.0488418,
        0.0522097,
        0.0558412,
        0.0577992,
        0.055939,
        0.0533865,
        0.0505365,
        0.0494657,
        0.0496257,
        0.0516062,
        0.0539541,
        0.0650823,
        0.0702894,
        0.0682275,
        0.0744592,
        0.0768103,
        0.0774975,
        0.0705958,
        0.0648314,
        0.060135,
        0.0565948,
        0.0533725,
        0.0517307,
        0.0504713,
        0.0497675,
        0.0488478,
        0.0475791,
        0.0470734,
        0.0479511,
        0.0464115,
        0.0440028,
        0.0447273,
        0.0444356,
        0.0449673,
        0.0457156,
        0.0462406,
        0.0470646,
        0.04775,
        0.0483116,
        0.050148,
        0.0524635,
        0.0543289,
        0.0572313,
        0.0607539,
        0.0639354,
        0.0664888,
        0.0705904,
        0.0743627,
        0.0785738,
        0.0870924,
        0.0972047,
        0.110762,
        0.125613,
        0.142152,
        0.166457,
        0.169262,
        0.168087,
        0.162582,
        0.149753,
        0.132156,
        0.112962,
        0.102284,
        0.0918363,
        0.0832627,
        0.0776185,
        0.0736244,
        0.0747866,
        0.0738511,
        0.0747813,
        0.0755642,
        0.0690501,
        0.0651248,
        0.0612389,
        0.0578048,
        0.0554445,
        0.0549594,
        0.0551167,
        0.055432,
        0.0635866,
        0.0643759,
        0.0587592,
        0.0616745,
        0.0633118,
        0.067346,
        0.0719457,
        0.0771382,
        0.0835614,
        0.0934916,
        0.106534,
        0.127702,
        0.160973,
        0.200507,
        0.253064,
        0.358613,
        0.266211,
        0.192585,
        0.1521,
        0.125205,
        0.10935,
        0.0938931,
        0.0856421,
        0.0813348,
        0.0798259,
        0.0766219,
        0.0732022,
        0.0686592,
        0.064201,
        0.0601517,
        0.057659,
        0.0558637,
        0.0555889,
        0.0547568,
        0.0549613,
        0.054962,
        0.0529643,
        0.0573558,
        0.057125,
        0.051873,
        0.0517151,
        0.052525,
        0.0526963,
        0.0518375,
        0.0510419,
        0.053215,
        0.0501473,
        0.0466053,
        0.04524,
        0.0444084,
        0.0484104,
        0.0480708,
        0.0436862,
        0.0435102,
        0.0436444,
        0.0433515,
        0.0430728,
        0.0437417,
        0.0430257,
        0.0434834,
        0.0439602,
        0.0461014,
        0.04754,
        0.0496007,
        0.0534558,
        0.0576761,
        0.0629116,
        0.0686346,
        0.0737518,
        0.0767998,
        0.0772704,
        0.0702303,
        0.0635942,
        0.0574493,
        0.0541895,
        0.0519074,
        0.0499993,
        0.0491175,
        0.0480658,
        0.0480689,
        0.0483477,
        0.0500422,
        0.051286,
        0.0514087,
        0.0514415,
        0.0507341,
        0.0497973,
        0.0495966,
        0.0492757,
        0.0487533,
        0.0498145,
        0.0522467,
        0.0547841,
        0.0577817,
        0.0616497,
        0.0656499,
        0.0669822,
        0.0664963,
        0.06398,
        0.0617814,
        0.0586615,
        0.0518447,
        0.0485866,
        0.0458938,
        0.0449106,
        0.043579,
        0.0425428,
        0.0426258,
        0.0429167,
        0.0434683,
        0.0430375,
        0.0420375,
        0.0412,
        0.0401172,
        0.0395006,
        0.0397516,
        0.0398991,
        0.0410321,
        0.0436478,
        0.0448963,
        0.0469642,
        0.0513089,
        0.0531257,
        0.0508565,
        0.0493738,
        0.0482173,
        0.047027,
        0.0459142,
        0.0457756,
        0.0467227,
        0.0478624,
        0.0491739,
        0.0506185,
        0.0524002,
        0.0531068,
        0.0531487,
        0.050609,
        0.0488722,
        0.0476357,
        0.0472706,
        0.0485892,
        0.0487981,
        0.0484525,
        0.0480828,
        0.0477195,
        0.0476499,
        0.0472186,
        0.0464592,
        0.0458921,
        0.0448698,
        0.0440532,
        0.0442829,
        0.0457168,
        0.0468074,
        0.0485683,
        0.0518728,
        0.0526098,
        0.0541612,
        0.0541373,
        0.0545309,
        0.0548564,
        0.0553697,
        0.0564723,
        0.0569706,
        0.0572391,
        0.0571818,
        0.0571358,
        0.0570581,
        0.057885,
        0.0582044,
        0.0612726,
        0.0648319,
        0.0679953,
        0.0704965,
        0.0712741,
        0.0723429,
        0.074252,
        0.0812657,
        0.0886555,
        0.0992833,
        0.111432,
        0.130243,
        0.155156,
        0.182539,
        0.24567,
        0.337847,
        0.40306,
        0.305316,
        0.226016,
        0.184851,
        0.151206,
        0.134185,
        0.11619,
        0.105919,
        0.0965853,
        0.0914317,
        0.0834188,
        0.0790091,
        0.0788205,
        0.0756458,
        0.0706208,
        0.0673774,
        0.0645523,
        0.062803,
        0.0604968,
        0.0598612,
        0.0587237,
        0.0550712,
        0.0549625,
        0.0555023,
        0.0577205,
        0.0601862,
        0.0601577,
        0.0584308,
        0.054296,
        0.0508489,
        0.0474858,
        0.0461908,
        0.0457228,
        0.0451438,
        0.0455379,
        0.0457596,
        0.0462002,
        0.0462942,
        0.0458589,
        0.0458791,
        0.0461001,
        0.0460907,
        0.0478522,
        0.0494475,
        0.0539486,
        0.0575542,
        0.0601926,
        0.0645902,
        0.0700065,
        0.0743929,
        0.0745789,
        0.0717763,
        0.0666399,
        0.0624037,
        0.0595672,
        0.0556233,
        0.0549634,
        0.0533273,
        0.0511768,
        0.0514094,
        0.0550519,
        0.0539579,
        0.0509101,
        0.0522433,
        0.0553859,
        0.058287,
        0.0761972,
        0.0841553,
        0.0753193,
        0.0764391,
        0.0737284,
        0.0722243,
        0.0665852,
        0.0604171,
        0.0565221,
        0.0516331,
        0.0495662,
        0.0477951,
        0.0461727,
        0.045109,
        0.044706,
        0.0449287,
        0.0443556,
        0.0443084,
        0.0451357,
        0.0459987,
        0.046858,
        0.048828,
        0.0496627,
        0.0503293,
        0.0516084,
        0.0634977,
        0.0611413,
        0.054674,
        0.053296,
        0.0496204,
        0.0456601,
        0.0436642,
        0.0429315,
        0.0421555,
        0.0414116,
        0.044737,
        0.0443172,
        0.0423048,
        0.0433513,
        0.0466938,
        0.0488126,
        0.0473876,
        0.0458454,
        0.046127,
        0.0445025,
        0.0438818,
        0.0431256,
        0.044345,
        0.0456404,
        0.0430904,
        0.0456706,
        0.0452841,
        0.0444932,
        0.0447359,
        0.0454592,
        0.0476934,
        0.0502999,
        0.0504905,
        0.0518929,
        0.0511496,
        0.0506503,
        0.0502916,
        0.0492334,
        0.0495206,
        0.0519888,
        0.0523015,
        0.0556552,
        0.0565682,
        0.0589506,
        0.0589192,
        0.0564008,
        0.0539432,
        0.051346,
        0.0501432,
        0.0518545,
        0.0532331,
        0.0540648,
        0.0535275,
        0.0539221,
        0.0540592,
        0.0515641,
        0.0521559,
        0.0547327,
        0.0570102,
        0.0576148,
        0.0587056,
        0.0591762,
        0.0607375,
        0.0623471,
        0.0635155,
        0.0644951,
        0.0677417,
        0.0699452,
        0.0738954,
        0.0803051,
        0.0849131,
        0.0918787,
        0.101608,
        0.117153,
        0.132194,
        0.152828,
        0.177427,
        0.223419,
        0.292066,
        0.323102,
        0.2415,
        0.199309,
        0.165608,
        0.144345,
        0.125662,
        0.120337,
        0.129164,
        0.117343,
        0.0933343,
        0.0881063,
        0.089541,
        0.0898114,
        0.0917545,
        0.0994902,
        0.10969,
        0.125339,
        0.140727,
        0.14175,
        0.155504,
        0.138632,
        0.110769,
        0.0957697,
        0.0824785,
        0.0747499,
        0.0708636,
        0.0660947,
        0.0646403,
        0.0619164,
        0.0610223,
        0.0620521,
        0.0692503,
        0.0714153,
        0.0658889,
        0.0675993,
        0.0652537,
        0.062077,
        0.0602022,
        0.0583118,
        0.0573682,
        0.0579635,
        0.0608413,
        0.0643712,
        0.0675135,
        0.0740587,
        0.0785275,
        0.0757123,
        0.0660802,
        0.0650258,
        0.0624126,
        0.0617713,
        0.0621466,
        0.063604,
        0.0634205,
        0.065828,
        0.0672214,
        0.0671561,
        0.0663325,
        0.0649159,
        0.0627682,
        0.0590272,
        0.0560898,
        0.0524298,
        0.0496828,
        0.0491703,
        0.0497537,
        0.0539245,
        0.0535039,
        0.0501755,
        0.0501382,
        0.049321,
        0.0497165,
        0.0518062,
        0.0570267,
        0.0575262,
        0.0550161,
        0.0558459,
        0.0543594,
        0.0524872,
        0.0510055,
        0.0492159,
        0.0469474,
        0.0452325,
        0.0446666,
        0.0448745,
        0.0434581,
        0.0447446,
        0.0451851,
        0.044844,
        0.0451315,
        0.0453785,
        0.0444894,
        0.0438255,
        0.0432567,
        0.0432806,
        0.0422942,
        0.0423682,
        0.0423884,
        0.0418318,
        0.0421708,
        0.0425288,
        0.0425493,
        0.0426422,
        0.0423763,
        0.0419908,
        0.0420629,
        0.0424548,
        0.0475723,
        0.0473304,
        0.0420968,
        0.0429026,
        0.0424496,
        0.0429553,
        0.0433556,
        0.0438289,
        0.0449826,
        0.0468003,
        0.0484056,
        0.0490751,
        0.0496918,
        0.0511781,
        0.0501783,
        0.0500286,
        0.0506422,
        0.0506737,
        0.0509968,
        0.0506893,
        0.0509754,
        0.0508655,
        0.0514125,
        0.0531204,
        0.0548152,
        0.0566657,
        0.0569497,
        0.056445,
        0.0568293,
        0.0577856,
        0.0578796,
        0.0576204,
        0.0582666,
        0.0580282,
        0.0581973,
        0.0597588,
        0.0619929,
        0.0632426,
        0.0677813,
        0.0689241,
        0.0642357,
        0.0640736,
        0.0658603,
        0.0664646,
        0.0668634,
        0.0678789,
        0.0770141,
        0.0781388,
        0.0758658,
        0.0811768,
        0.0867361,
        0.0956095,
        0.101717,
        0.105547,
        0.11486,
        0.123257,
        0.138868,
        0.159448,
        0.185802,
        0.217977,
        0.24648,
        0.283889,
        0.40492,
        0.371802,
        0.287632,
        0.225658,
        0.190267,
        0.163353,
        0.143406,
        0.131149,
        0.124822,
        0.123684,
        0.0988481,
        0.0937323,
        0.0897891,
        0.0852756,
        0.0809808,
        0.078277,
        0.0769988,
        0.0759595,
        0.0755667,
        0.0764854,
        0.0774429,
        0.0784132,
        0.0778924,
        0.0756056,
        0.0745031,
        0.0727042,
        0.0700846,
        0.0685582,
        0.0670502,
        0.0662494,
        0.064538,
        0.0627978,
        0.0615749,
        0.0604559,
        0.0615647,
        0.0617013,
        0.0622696,
        0.0639994,
        0.0672975,
        0.0743891,
        0.0810999,
        0.0864642,
        0.0939232,
        0.0987417,
        0.0978857,
        0.0928514,
        0.0857964,
        0.0775059,
        0.071454,
        0.0652468,
        0.0605407,
        0.0566764,
        0.0552688,
        0.054249,
        0.0525078,
        0.0518581,
        0.0515984,
        0.0507505,
        0.0501039,
        0.0502648,
        0.0508452,
        0.0498285,
        0.0498576,
        0.0504605,
        0.051313,
        0.0520376,
        0.0527216,
        0.0541434,
        0.0560096,
        0.0570264,
        0.0601617,
        0.0599072,
        0.0548102,
        0.0547437,
        0.0546537,
        0.0554804,
        0.0553542,
        0.0543994,
        0.0518579,
        0.0511564,
        0.0511622,
        0.0500907,
        0.0502618,
        0.0501681,
        0.050149,
        0.0498257,
        0.0540217,
        0.053006,
        0.050396,
        0.0496203,
        0.0494088,
        0.0501665,
        0.0500835,
        0.050949,
        0.052005,
        0.0528687,
        0.0518311,
        0.0522387,
        0.0532432,
        0.0546019,
        0.0548245,
        0.0549436,
        0.0551912,
        0.0556896,
        0.0552968,
        0.0553919,
        0.0549731,
        0.0536117,
        0.05339,
        0.0539094,
        0.0549395,
        0.0546755,
        0.055072,
        0.056419,
        0.0581978,
        0.0599041,
        0.0632857,
        0.0611687,
        0.060252,
        0.0585699,
        0.0585397,
        0.0582776,
        0.0597427,
        0.0595293,
        0.0600056,
        0.0596141,
        0.0592197,
        0.0602956,
        0.0599245,
        0.0594988,
        0.0626091,
        0.0616508,
        0.0618033,
        0.0634944,
        0.0631997,
        0.0651315,
        0.0700222,
        0.0714047,
        0.0701312,
        0.0722108,
        0.0716817,
        0.0720329,
        0.074839,
        0.0781221,
        0.0815581,
        0.0788811,
        0.0823939,
        0.081832,
        0.0812174,
        0.0834769,
        0.0856704,
        0.0890051,
        0.0926658,
        0.0978957,
        0.101064,
        0.113327,
        0.123218,
        0.11267,
        0.121691,
        0.133959,
        0.14205,
        0.147842,
        0.158777,
        0.171041,
        0.180752,
        0.201131,
        0.225711,
        0.252787,
        0.302727,
        0.28111,
        0.274999,
        0.267107,
        0.265771,
        0.2567,
        0.226256,
        0.204296,
        0.183327,
        0.172523,
        0.164786,
        0.160433,
        0.162258,
        0.154993,
        0.147024,
        0.14228,
        0.13832,
        0.131438,
        0.123507,
        0.118012,
        0.114304,
        0.112963,
        0.10986,
        0.118521,
        0.117356,
        0.101257,
        0.0985942,
        0.0978208,
        0.0995528,
        0.0989776,
        0.0966482,
        0.0969826,
        0.0960099,
        0.0967612,
        0.0965647,
        0.0963727,
        0.0969233,
        0.0994192,
        0.100836,
        0.0999173,
        0.102316,
        0.106476,
        0.102388,
        0.105779,
        0.106093,
        0.107164,
        0.106494,
        0.105739,
        0.108329,
        0.110918,
        0.115304,
        0.115209,
        0.115897,
        0.124958,
        0.127124,
        0.122743,
        0.128876,
        0.132534,
        0.133785,
        0.140236,
        0.149393,
        0.152454,
        0.163236,
        0.169156,
        0.178217,
        0.182215,
        0.202056,
        0.221006,
        0.235533,
        0.254671,
        0.270881,
        0.32586,
        0.368308,
        0.387809,
        0.38158,
        0.348833,
        0.359477,
        0.349664,
        0.323052,
        0.306725,
        0.311062,
        0.315032,
        0.308538,
        0.318987,
        0.333614,
        0.377078,
        0.38421,
        0.411767,
        0.318034,
        0.285044,
        0.240174,
        0.223402,
        0.204372,
        0.192526,
        0.194684,
        0.18359,
        0.164316,
        0.160193,
        0.152391,
        0.142224,
        0.136318,
        0.130455,
        0.125325,
        0.121192,
        0.115545,
        0.108453,
        0.107646,
        0.107476,
        0.10327,
        0.102204,
        0.0990931,
        0.096179,
        0.0954915,
        0.0931356,
        0.0919522,
        0.0956049,
        0.0974769,
        0.100272,
        0.0994065,
        0.0989823,
        0.0944464,
        0.0933827,
        0.0882714,
        0.0851551,
        0.0816871,
        0.0816493,
        0.0765597,
        0.0767208,
        0.0740339,
        0.0750225,
        0.073317,
        0.0724266,
        0.0724778,
        0.071762,
        0.0705747,
        0.0689128,
        0.0783574,
        0.0834094,
        0.0681539,
        0.0672872,
        0.0671767,
        0.0657695,
        0.065832,
        0.0657859,
        0.0655749,
        0.0658872,
        0.0666854,
        0.0667073,
        0.0674395,
        0.0672031,
        0.0783888,
        0.0738015,
        0.065643,
        0.0642324,
        0.063917,
        0.0635727,
        0.0686459,
        0.0688178,
        0.0621241,
        0.0610112,
        0.0607943,
        0.0607619,
        0.0598854,
        0.059163,
        0.0584498,
        0.0595952,
        0.0597889,
        0.0590889,
        0.0594195,
        0.058846,
        0.0585923,
        0.060135,
        0.0596836,
        0.060543,
        0.0625889,
        0.0622478,
        0.0607332,
        0.0618249,
        0.0635705,
        0.0635897,
        0.0638727,
        0.0630752,
        0.0638705,
        0.0644783,
        0.06235,
        0.0607714,
        0.0625786,
        0.0642536,
        0.0612977,
        0.0611289,
        0.0621264,
        0.0637877,
        0.0634126,
        0.0635732,
        0.0629173,
        0.0623119,
        0.0630395,
        0.0627215,
        0.0623181,
        0.0628742,
        0.0629947,
        0.063471,
        0.0637262,
        0.0642988,
        0.063402,
        0.0622769,
        0.0618261,
        0.0614767,
        0.0620657,
        0.0624603,
        0.0617038,
        0.0619463,
        0.0621543,
        0.0612309,
        0.0619158,
        0.0623459,
        0.0628258,
        0.0632272,
        0.0642648,
        0.0685195,
        0.0631675,
        0.0639179,
        0.0655279,
        0.0655279,
        0.0652283,
        0.0667301,
        0.0680647,
        0.072034,
        0.0761987,
        0.069432,
        0.0728093,
        0.0745174,
        0.0746182,
        0.0758289,
        0.0772248,
        0.08104,
        0.0828733,
        0.0837216,
        0.0880097,
        0.0904629,
        0.0922642,
        0.0969666,
        0.0991962,
        0.103816,
        0.103351,
        0.109021,
        0.111822,
        0.119077,
        0.131423,
        0.135692,
        0.146799,
        0.154484,
        0.173516,
        0.191953,
        0.216097,
        0.255697,
        0.296511,
        0.338307,
        0.381384,
        0.291453,
        0.246949,
        0.219743,
        0.194261,
        0.177162,
        0.159861,
        0.144832,
        0.133062,
        0.127394,
        0.119784,
        0.113877,
        0.107165,
        0.10299,
        0.100321,
        0.0953249,
        0.0942426,
        0.0924705,
        0.0910958,
        0.0892474,
        0.0885626,
        0.0890042,
        0.0879209,
        0.0885027,
        0.0906958,
        0.0907546,
        0.0927397,
        0.0938573,
        0.0921667,
        0.0894804,
        0.0871236,
        0.0848124,
        0.0845272,
        0.0799155,
        0.07809,
        0.0763774,
        0.0753048,
        0.073995,
        0.0733397,
        0.0711276,
        0.0710107,
        0.0761594,
        0.0787104,
        0.073076,
        0.0694607,
        0.069978,
        0.0708678,
        0.0705022,
        0.0699146,
        0.0700375,
        0.0690642,
        0.0672454,
        0.0660655,
        0.0663084,
        0.0659123,
        0.0638775,
        0.0638896,
        0.0629057,
        0.0637663,
        0.0635938,
        0.0622908,
        0.0619127,
        0.0626493,
        0.0627319,
        0.062804,
        0.0635484,
        0.0644128,
        0.0651831,
        0.0636166,
        0.0633094,
        0.0625698,
        0.0629648,
        0.0624034,
        0.0608322,
        0.0621313,
        0.0629529,
        0.0632375,
        0.0644575,
        0.0643296,
        0.0657119,
        0.066377,
        0.0639245,
        0.0637568,
        0.0647004,
        0.0656198,
        0.0652294,
        0.0635757,
        0.0624658,
        0.0619333,
        0.0612102,
        0.0608665,
        0.0617253,
        0.061588,
        0.0619263,
        0.0633743,
        0.0634472,
        0.0628091,
        0.0639418,
        0.0648772,
        0.0656001,
        0.065538,
        0.0656924,
        0.0646673,
        0.0644995,
        0.0643266,
        0.0651848,
        0.0666425,
        0.0679191,
        0.0689098,
        0.0675372,
        0.0684316,
        0.0694798,
        0.0697699,
        0.0697872,
        0.0697209,
        0.0701277,
        0.0707607,
        0.0713651,
        0.071085,
        0.0736371,
        0.0761491,
        0.0770703,
        0.0767878,
        0.0766617,
        0.0760144,
        0.0738549,
        0.0736054,
        0.0731788,
        0.0731195,
        0.0722619,
        0.0716514,
        0.0711242,
        0.0717529,
        0.0720501,
        0.0702171,
        0.0717494,
        0.0722505,
        0.0734522,
        0.0746934,
        0.0760347,
        0.0769626,
        0.0770733,
        0.0785396,
        0.0795765,
        0.0792568,
        0.0796478,
        0.080391,
        0.0803591,
        0.0833549,
        0.0947477,
        0.0952033,
        0.0881375,
        0.0895662,
        0.0898647,
        0.0929438,
        0.0966698,
        0.0976487,
        0.104582,
        0.108141,
        0.111776,
        0.116052,
        0.121198,
        0.127603,
        0.132041,
        0.142744,
        0.174885,
        0.182033,
        0.180359,
        0.197561,
        0.210404,
        null,
        0.057635,
        0.0569202,
        0.0560397,
        0.0557037,
        0.0561381,
        0.0556052,
        0.0548881,
        0.0537421,
        0.0535811,
        0.062948,
        0.0589326,
        0.0521664,
        0.052407,
        0.0524348,
        0.0595321,
        0.0592595,
        0.0531083,
        0.0533123,
        0.0545016,
        0.0545076,
        0.0547459,
        0.055667,
        0.056574,
        0.0572226,
        0.0575466,
        0.0566578,
        0.0563895,
        0.0558308,
        0.0548466,
        0.0549879,
        0.0553545,
        0.055376,
        0.0625195,
        0.0614695,
        0.0552847,
        0.0546442,
        0.0544576,
        0.0542809,
        0.0544288,
        0.0545727,
        0.0545435,
        0.0551798,
        0.0556182,
        0.0551503,
        0.0566286,
        0.0578148,
        0.0567797,
        0.057329,
        0.0581307,
        0.0588088,
        0.059419,
        0.0605383,
        0.0627061,
        0.064771,
        0.0665435,
        0.0672612,
        0.0685109,
        0.0700858,
        0.0704866,
        0.0701654,
        0.0700106,
        0.0688812,
        0.0684649,
        0.0677005,
        0.0676051,
        0.0694706,
        0.071367,
        0.077875,
        0.0801981,
        0.0781253,
        0.0809191,
        0.0824101,
        0.0834586,
        0.0873153,
        0.0900873,
        0.0934702,
        0.0973121,
        0.10079,
        0.107932,
        0.118794,
        0.128571,
        0.144702,
        0.164676,
        0.189912,
        0.218314,
        0.265828,
        0.34547,
        0.445711,
        0.348501,
        0.264219,
        0.219943,
        0.189202,
        0.163246,
        0.149501,
        0.134129,
        0.123726,
        0.116403,
        0.109347,
        0.105954,
        0.102949,
        0.10021,
        0.0964446,
        0.0899876,
        0.0846857,
        0.0799314,
        0.077609,
        0.0742399,
        0.0700183,
        0.0666536,
        0.064671,
        0.0625155,
        0.0609674,
        0.0594712,
        0.0587299,
        0.0578263,
        0.0574701,
        0.0574066,
        0.0571158,
        0.0579458,
        0.0577402,
        0.0565621,
        0.056534,
        0.0557071,
        0.0546775,
        0.053421,
        0.0523973,
        0.0519815,
        0.0512841,
        0.0506968,
        0.0501709,
        0.0498993,
        0.05027,
        0.050203,
        0.0520884,
        0.0517493,
        0.0501809,
        0.050155,
        0.0503537,
        0.0503727,
        0.0496453,
        0.0498237,
        0.0503261,
        0.0506582,
        0.05274,
        0.0521658,
        0.0567325,
        0.0586779,
        0.0544178,
        0.054585,
        0.0533626,
        0.0525199,
        0.051776,
        0.0508939,
        0.0501077,
        0.0525382,
        0.0523734,
        0.0484439,
        0.0474761,
        0.0474532,
        0.0472297,
        0.0468622,
        0.0468648,
        0.0460372,
        0.0463471,
        0.0456035,
        0.0455589,
        0.0457904,
        0.0461313,
        0.0462862,
        0.0461,
        0.0469386,
        0.0471013,
        0.047127,
        0.0468049,
        0.0465114,
        0.0461641,
        0.0462572,
        0.0458278,
        0.0458042,
        0.0454006,
        0.0460678,
        0.0462342,
        0.0468051,
        0.0477884,
        0.0484461,
        0.0486445,
        0.0497034,
        0.0496517,
        0.0507639,
        0.0514936,
        0.0517874,
        0.053354,
        0.0544654,
        0.055639,
        0.0571269,
        0.0570041,
        0.0616969,
        0.0618519,
        0.0559852,
        0.055161,
        0.0547228,
        0.0543518,
        0.0531391,
        0.0527806,
        0.0527746,
        0.0518068,
        0.0525654,
        0.0535015,
        0.0536889,
        0.0535409,
        0.0541847,
        0.0551196,
        0.0554012,
        0.0553742,
        0.0555266,
        0.0566563,
        0.0579404,
        0.0587865,
        0.0600596,
        0.0602782,
        0.0611028,
        0.0623093,
        0.0645225,
        0.0661765,
        0.0688637,
        0.0713167,
        0.0729068,
        0.0759247,
        0.0789863,
        0.0853897,
        0.0885262,
        0.0925747,
        0.101895,
        0.113967,
        0.123995,
        0.140789,
        0.165132,
        0.190074,
        0.238701,
        0.303966,
        0.304503,
        0.237516,
        0.204788,
        0.171424,
        0.15202,
        0.133937,
        0.126608,
        0.116867,
        0.111172,
        0.105074,
        0.0921266,
        0.0859248,
        0.0802537,
        0.0762305,
        0.0729612,
        0.0718862,
        0.0695118,
        0.0666625,
        0.0645394,
        0.0623201,
        0.0603351,
        0.0584552,
        0.0613499,
        0.0617401,
        0.0555448,
        0.0546751,
        0.0539759,
        0.0529216,
        0.0527257,
        0.0525079,
        0.0526425,
        0.0522225,
        0.0525923,
        0.0540035,
        0.054531,
        0.0534983,
        0.0523057,
        0.0517109,
        0.0502417,
        0.0494776,
        0.04786,
        0.0475032,
        0.0466186,
        0.046319,
        0.0459212,
        0.0459001,
        0.0460469,
        0.0454885,
        0.0454416,
        0.044751,
        0.0441265,
        0.0438205,
        0.0451715,
        0.0481609,
        0.0475318,
        0.0449481,
        0.0445271,
        0.0442353,
        0.0446755,
        0.04428,
        0.0444301,
        0.0447535,
        0.0447725,
        0.0444795,
        0.0490415,
        0.0488485,
        0.0440661,
        0.0441804,
        0.0441421,
        0.0439534,
        0.0435722,
        0.0441808,
        0.0437911,
        0.043947,
        0.0441436,
        0.0441271,
        0.0441235,
        0.0444313,
        0.0452822,
        0.0455828,
        0.0472633,
        0.0478664,
        0.0477302,
        0.0498805,
        0.0504844,
        0.0511512,
        0.05008,
        0.0491111,
        0.0481558,
        0.0472212,
        0.0456676,
        0.0454004,
        0.0440102,
        0.0434577,
        0.0430535,
        0.0430451,
        0.04326,
        0.0432769,
        0.0433566,
        0.0489327,
        0.0488935,
        0.0437404,
        0.0443785,
        0.0446298,
        0.0456906,
        0.0443807,
        0.0440167,
        0.0438423,
        0.0439462,
        0.0443777,
        0.0446621,
        0.0444286,
        0.0448696,
        0.0451796,
        0.0458549,
        0.0458425,
        0.0463724,
        0.0460588,
        0.0464683,
        0.0477244,
        0.0481386,
        0.0497205,
        0.0498374,
        0.0592405,
        0.062777,
        0.053949,
        0.0540962,
        0.0552977,
        0.0566177,
        0.0583315,
        0.0605456,
        0.0639631,
        0.0694594,
        0.0756438,
        0.0830837,
        0.088882,
        0.0924482,
        0.0921048,
        0.0887924,
        0.0853127,
        0.082704,
        0.0808011,
        0.0806059,
        0.0839561,
        0.0874149,
        0.0900642,
        0.0934666,
        0.100874,
        0.110011,
        0.119864,
        0.136066,
        0.150277,
        0.176114,
        0.210457,
        0.278477,
        0.363331,
        0.302142,
        0.243505,
        0.201893,
        0.168227,
        0.146816,
        0.13192,
        0.115884,
        0.105816,
        0.100604,
        0.0961127,
        0.0888653,
        0.087227,
        0.0838518,
        0.0806482,
        0.0767254,
        0.0724906,
        0.0687067,
        0.0655431,
        0.0629919,
        0.0633638,
        0.061728,
        0.0565858,
        0.0552015,
        0.0541536,
        0.0532773,
        0.0528285,
        0.0514885,
        0.0505579,
        0.0494519,
        0.0487293,
        0.0484754,
        0.0483822,
        0.0476849,
        0.0470748,
        0.0471373,
        0.0458954,
        0.0457593,
        0.0454847,
        0.0451333,
        0.0443993,
        0.0451973,
        0.0457925,
        0.0435427,
        0.0431288,
        0.0429002,
        0.0427743,
        0.0427913,
        0.0428042,
        0.0426764,
        0.0425815,
        0.0435125,
        0.0430661,
        0.0431242,
        0.0438318,
        0.0432779,
        0.0426999,
        0.0432072,
        0.0435584,
        0.0440167,
        0.0472277,
        0.0486529,
        0.049184,
        0.0517459,
        0.0531756,
        0.0640194,
        0.0640622,
        0.0534856,
        0.0517799,
        0.050578,
        0.0498829,
        0.0482027,
        0.0479529,
        0.0474813,
        0.0472492,
        0.0472811,
        0.0474098,
        0.0486218,
        0.046734,
        0.0449061,
        0.0436829,
        0.043854,
        0.0432888,
        0.0426481,
        0.0422788,
        0.0417931,
        0.0418811,
        0.0424166,
        0.0421601,
        0.0424617,
        0.0428872,
        0.0429136,
        0.0428354,
        0.0420486,
        0.0411686,
        0.0456059,
        0.0458891,
        0.041276,
        0.0410947,
        0.0417984,
        0.0417286,
        0.0410692,
        0.0416674,
        0.0413132,
        0.0418856,
        0.0424042,
        0.042663,
        0.0432161,
        0.0439761,
        0.0445777,
        0.045258,
        0.0457325,
        0.0467005,
        0.0479569,
        0.0499602,
        0.0511751,
        0.0518087,
        0.0522121,
        0.051245,
        0.0499213,
        0.0497715,
        0.0497438,
        0.050511,
        0.0504291,
        0.0499526,
        0.0495045,
        0.0494998,
        0.0498364,
        0.0506856,
        0.0510692,
        0.051909,
        0.0518562,
        0.0524581,
        0.0541089,
        0.055592,
        0.0563149,
        0.0587531,
        0.0613079,
        0.0636545,
        0.0655628,
        0.0681632,
        0.0694363,
        0.0701704,
        0.0698228,
        0.0713523,
        0.0726932,
        0.0733785,
        0.0753403,
        0.0786091,
        0.0811644,
        0.087345,
        0.0955907,
        0.101469,
        0.117691,
        0.128418,
        0.133934,
        0.150498,
        0.178811,
        0.215173,
        0.288574,
        0.310714,
        0.223785,
        0.191233,
        0.151997,
        0.131136,
        0.117869,
        0.11251,
        0.101639,
        0.0873639,
        0.0819783,
        0.0769915,
        0.0731589,
        0.0689008,
        0.0666912,
        0.0638212,
        0.0618931,
        0.0603641,
        0.0577888,
        0.0562422,
        0.0551209,
        0.0531616,
        0.0525983,
        0.0515129,
        0.0510588,
        0.0529819,
        0.0519962,
        0.048835,
        0.0490513,
        0.0502161,
        0.0486974,
        0.0479361,
        0.0469706,
        0.0464216,
        0.0456036,
        0.0459505,
        0.0461835,
        0.04574,
        0.0459178,
        0.0461124,
        0.0513491,
        0.052309,
        0.0479624,
        0.0487074,
        0.0499011,
        0.0489034,
        0.0482815,
        0.0475454,
        0.0466114,
        0.0453506,
        0.0443227,
        0.0436652,
        0.04376,
        0.0440266,
        0.0435618,
        0.0433176,
        0.0431547,
        0.0432103,
        0.043619,
        0.0438081,
        0.0449134,
        0.046887,
        0.0497536,
        0.0532399,
        0.059185,
        0.0646194,
        0.0683425,
        0.067085,
        0.0628262,
        0.0576548,
        0.0531707,
        0.0496435,
        0.0464963,
        0.0447062,
        0.0428263,
        0.0420518,
        0.0420031,
        0.0416929,
        0.0415963,
        0.0412906,
        0.0411203,
        0.0409394,
        0.0411614,
        0.0411885,
        0.0412384,
        0.0417517,
        0.0422879,
        0.042426,
        0.0423943,
        0.0425618,
        0.0428839,
        0.0454633,
        0.0443186,
        0.0436943,
        0.0439259,
        0.0447104,
        0.045757,
        0.0463985,
        0.0466929,
        0.0464267,
        0.0461101,
        0.0453506,
        0.0439373,
        0.042598,
        0.0420077,
        0.0418227,
        0.0407737,
        0.0401152,
        0.0403697,
        0.0407596,
        0.0401325,
        0.0396834,
        0.0398668,
        0.0397192,
        0.0393997,
        0.0394518,
        0.0398953,
        0.0409292,
        0.0410363,
        0.0403372,
        0.0435066,
        0.0442679,
        0.0463032,
        0.0460732,
        0.0422231,
        0.0427138,
        0.0417496,
        0.0422659,
        0.0429228,
        0.0440565,
        0.0445477,
        0.0452759,
        0.0452097,
        0.0455311,
        0.0461034,
        0.0461437,
        0.0466017,
        0.0483491,
        0.0493689,
        0.050815,
        0.051327,
        0.0522492,
        0.0550816,
        0.0570276,
        0.0588922,
        0.0607646,
        0.0630215,
        0.0646702,
        0.0662529,
        0.0697144,
        0.0744759,
        0.0800824,
        0.0845662,
        0.0877407,
        0.0972456,
        0.101206,
        0.100981,
        0.113461,
        0.126767,
        0.146037,
        0.172086,
        0.200496,
        0.255214,
        0.352311,
        0.305832,
        0.231296,
        0.187138,
        0.159612,
        0.134412,
        0.117817,
        0.10608,
        0.0936357,
        0.0866744,
        0.0794847,
        0.0743426,
        0.070747,
        0.0673437,
        0.0642757,
        0.0623729,
        0.0605578,
        0.0593636,
        0.0587976,
        0.0565273,
        0.0563252,
        0.0562572,
        0.0556146,
        0.054997,
        0.0554701,
        0.0559525,
        0.0568474,
        0.0584909,
        0.0588319,
        0.0598164,
        0.0589629,
        0.0577353,
        0.0559058,
        0.0547643,
        0.0533248,
        0.0520689,
        0.0508377,
        0.0498644,
        0.0476983,
        0.0468921,
        0.0464331,
        0.0462693,
        0.0523253,
        0.0476656,
        0.043846,
        0.0436023,
        0.0436505,
        0.0434691,
        0.0434486,
        0.0434083,
        0.0436033,
        0.0445188,
        0.0449801,
        0.0454443,
        0.0452385,
        0.0454793,
        0.0462521,
        0.0459891,
        0.0448805,
        0.0443402,
        0.043446,
        0.0425089,
        0.0418345,
        0.0409374,
        0.0408384,
        0.0403627,
        0.0403191,
        0.0399329,
        0.0404167,
        0.0402406,
        0.0405377,
        0.0408177,
        0.0411793,
        0.0413131,
        0.0415481,
        0.041989,
        0.0426522,
        0.0438169,
        0.0436305,
        0.0479639,
        0.0475031,
        0.0475233,
        0.0477273,
        0.04785,
        0.0477776,
        0.0501588,
        0.0486024,
        0.0442606,
        0.0433811,
        0.0426205,
        0.0423624,
        0.0421151,
        0.0414131,
        0.041483,
        0.0406969,
        0.040497,
        0.0406887,
        0.0402693,
        0.0417918,
        0.0427098,
        0.0405214,
        0.0412422,
        0.041605,
        0.0410417,
        0.0412093,
        0.0410959,
        0.0414411,
        0.0417117,
        0.0418506,
        0.0413074,
        0.0408216,
        0.0416306,
        0.0427552,
        0.0424547,
        0.0421816,
        0.0468068,
        0.0457748,
        0.0430185,
        0.0425049,
        0.0429205,
        0.0432235,
        0.0440484,
        0.0442459,
        0.0442662,
        0.0447248,
        0.044988,
        0.0480118,
        0.0480787,
        0.045981,
        0.0472113,
        0.0473295,
        0.048313,
        0.0494822,
        0.0507016,
        0.053837,
        0.0553812,
        0.0575441,
        0.0619321,
        0.0664591,
        0.0684719,
        0.0682823,
        0.0659215,
        0.0632538,
        0.0605442,
        0.0592164,
        0.058159,
        0.0574138,
        0.0571463,
        0.0601773,
        0.0631802,
        0.0600422,
        0.0613527,
        0.0642356,
        0.065589,
        0.0675566,
        0.071279,
        0.0760927,
        0.0792907,
        0.0866589,
        0.0932111,
        0.103545,
        0.11621,
        0.130085,
        0.147173,
        0.169884,
        0.204032,
        0.262436,
        0.354164,
        0.282589,
        0.225941,
        0.180464,
        0.150687,
        0.128751,
        0.112734,
        0.100547,
        0.0954497,
        0.0892199,
        0.0856977,
        0.0807303,
        0.0785422,
        0.0747601,
        0.0737361,
        0.0699398,
        0.0661124,
        0.0628105,
        0.0609943,
        0.0585767,
        0.0571802,
        0.055516,
        0.0536822,
        0.0531759,
        0.0527544,
        0.0523665,
        0.0524152,
        0.0545762,
        0.0523416,
        0.0492226,
        0.0486764,
        0.0474705,
        0.0473518,
        0.0474244,
        0.0560691,
        0.0537021,
        0.0453798,
        0.0447717,
        0.0454005,
        0.0450635,
        0.04471,
        0.0443659,
        0.0449247,
        0.045252,
        0.0458608,
        0.0446337,
        0.0460575,
        0.0461591,
        0.0445629,
        0.0445945,
        0.045723,
        0.0454444,
        0.0459499,
        0.045712,
        0.0454265,
        0.0451945,
        0.0446079,
        0.0445859,
        0.0447945,
        0.0446487,
        0.0442661,
        0.0442534,
        0.0500242,
        0.050838,
        0.047775,
        0.0469252,
        0.0469797,
        0.0505253,
        0.0527322,
        0.0486724,
        0.0485804,
        0.0484326,
        0.047662,
        0.0473569,
        0.0481638,
        0.0477067,
        0.0458547,
        0.0460962,
        0.0464052,
        0.0468792,
        0.0470693,
        0.0467496,
        0.0460202,
        0.0460919,
        0.0467337,
        0.045453,
        0.0455896,
        0.0456523,
        0.0455328,
        0.0506008,
        0.0538016,
        0.0467545,
        0.0470638,
        0.0471757,
        0.0473559,
        0.0474238,
        0.0477358,
        0.0479983,
        0.0494477,
        0.0507934,
        0.0475502,
        0.0459908,
        0.0467636,
        0.0461822,
        0.0461226,
        0.0461152,
        0.045786,
        0.0462356,
        0.0458878,
        0.0459712,
        0.0464042,
        0.0470714,
        0.0470244,
        0.0471063,
        0.0465971,
        0.0464471,
        0.0464445,
        0.0474638,
        0.0474005,
        0.0481535,
        0.0493499,
        0.0493195,
        0.0512569,
        0.0516758,
        0.0525882,
        0.0544188,
        0.055467,
        0.0553888,
        0.0556764,
        0.0548786,
        0.0542917,
        0.0526049,
        0.0519681,
        0.0511269,
        0.0496175,
        0.0493701,
        0.0486794,
        0.0481699,
        0.0478648,
        0.0480509,
        0.047347,
        0.0553199,
        0.0514256,
        0.0469696,
        0.0463981,
        0.0467262,
        0.0470365,
        0.0477058,
        0.049325,
        0.0498596,
        0.0503804,
        0.0509348,
        0.0514468,
        0.0534787,
        0.0617812,
        0.0677149,
        0.0588848,
        0.0605443,
        0.0635262,
        0.0678208,
        0.0716605,
        0.078256,
        0.0828734,
        0.0883851,
        0.0959785,
        0.107571,
        0.127408,
        0.144445,
        0.180711,
        0.22117,
        0.307576,
        0.323667,
        0.246396,
        0.198648,
        0.186651,
        0.154794,
        0.116262,
        0.105467,
        0.0964027,
        0.083645,
        0.0765304,
        0.0731378,
        0.0691311,
        0.0650406,
        0.0640861,
        0.061068,
        0.0567256,
        0.0558899,
        0.0553085,
        0.0528336,
        0.0513595,
        0.0504391,
        0.0496924,
        0.0488013,
        0.0487192,
        0.0486427,
        0.0480899,
        0.0468832,
        0.0467113,
        0.0471417,
        0.0467079,
        0.0460395,
        0.0460206,
        0.0502626,
        0.0488636,
        0.0466401,
        0.0465455,
        0.0464106,
        0.0465706,
        0.0468667,
        0.0473282,
        0.0479509,
        0.0470485,
        0.0464627,
        0.0470236,
        0.0466081,
        0.0467574,
        0.046033,
        0.0463862,
        0.0462514,
        0.0456039,
        0.0462688,
        0.0462914,
        0.0459044,
        0.0465776,
        0.0473216,
        0.0482583,
        0.049154,
        0.0503829,
        0.0513684,
        0.0507431,
        0.0514014,
        0.0501128,
        0.0607387,
        0.0602221,
        0.0470419,
        0.0454795,
        0.044138,
        0.0430859,
        0.0430776,
        0.0433102,
        0.0422534,
        0.0414555,
        0.0409274,
        0.0408059,
        0.0409161,
        0.0405569,
        0.0406026,
        0.0406166,
        0.0410711,
        0.0407735,
        0.0404253,
        0.041045,
        0.0411863,
        0.0413641,
        0.0416142,
        0.042328,
        0.041149,
        0.0405692,
        0.0397519,
        0.0395424,
        0.0393736,
        0.0396388,
        0.0399698,
        0.0399541,
        0.040251,
        0.0409581,
        0.0449694,
        0.0436288,
        0.0411013,
        0.0408199,
        0.0407481,
        0.0408326,
        0.0409094,
        0.0409803,
        0.0416204,
        0.0421506,
        0.0422108,
        0.0458663,
        0.0476384,
        0.0438663,
        0.0438128,
        0.0440082,
        0.0449946,
        0.0455574,
        0.0462279,
        0.0470666,
        0.0481973,
        0.0479172,
        0.0484915,
        0.0482867,
        0.0473815,
        0.0470232,
        0.0471368,
        0.0457695,
        0.0463247,
        0.0461974,
        0.0460154,
        0.0460226,
        0.045848,
        0.0452401,
        0.0454171,
        0.0442711,
        0.0444866,
        0.0439737,
        0.0439983,
        0.0448006,
        0.0446313,
        0.0439512,
        0.0444758,
        0.045426,
        0.0449379,
        0.0450317,
        0.0454007,
        0.0457931,
        0.0460665,
        0.0459251,
        0.046209,
        0.0474062,
        0.0593985,
        0.0558719,
        0.0487071,
        0.0502009,
        0.0507176,
        0.0513241,
        0.0528054,
        0.0536488,
        0.0554584,
        0.0571528,
        0.0592584,
        0.0607231,
        0.0626465,
        0.0651482,
        0.0667923,
        0.0703856,
        0.0755902,
        0.0796222,
        0.0851903,
        0.0952413,
        0.104013,
        0.118001,
        0.155175,
        0.195287,
        0.204363,
        0.263015,
        0.356336,
        0.312633,
        0.226543,
        0.179543,
        0.156329,
        0.127378,
        0.11221,
        0.101584,
        0.0932241,
        0.08755,
        0.0803225,
        0.075507,
        0.0717228,
        0.0698294,
        0.0669062,
        0.0635247,
        0.0612851,
        0.0589282,
        0.0569716,
        0.0570691,
        0.0563197,
        0.0555732,
        0.0533051,
        0.0522732,
        0.0514647,
        0.0504399,
        0.0500247,
        0.0492639,
        0.0498734,
        0.0493362,
        0.0489454,
        0.0487393,
        0.0494291,
        0.0489908,
        0.0484287,
        0.048029,
        0.0476701,
        0.0474283,
        0.0477741,
        0.0475282,
        0.0468863,
        0.0468773,
        0.0474163,
        0.0469977,
        0.0472566,
        0.0474233,
        0.0474318,
        0.0479004,
        0.0490791,
        0.0505714,
        0.0509545,
        0.0514572,
        0.0515668,
        0.0524483,
        0.0520001,
        0.0496775,
        0.0506761,
        0.0497404,
        0.0485973,
        0.0482639,
        0.0480337,
        0.0546053,
        0.0539,
        0.0486395,
        0.0480143,
        0.0482047,
        0.0480285,
        0.0486115,
        0.0495819,
        0.0493363,
        0.0486972,
        0.0493434,
        0.0487588,
        0.0503732,
        0.0512135,
        0.050595,
        0.0512635,
        0.0521072,
        0.052989,
        0.0548501,
        0.0564063,
        0.0577965,
        0.0588598,
        0.0597034,
        0.0598006,
        0.0607163,
        0.0603595,
        0.066916,
        0.0665536,
        0.0588367,
        0.0590265,
        0.0599416,
        0.0596842,
        0.0612548,
        0.0620132,
        0.0628514,
        0.0641309,
        0.0643245,
        0.0670131,
        0.0722178,
        0.0747344,
        0.0761237,
        0.0796849,
        0.0828835,
        0.0911447,
        0.095824,
        0.105684,
        0.119072,
        0.134785,
        0.158031,
        0.187585,
        0.233513,
        0.310986,
        0.393679,
        0.371745,
        0.281687,
        0.221676,
        0.196296,
        0.164923,
        0.13719,
        0.123818,
        0.112224,
        0.110404,
        0.102994,
        0.0921465,
        0.0882014,
        0.0842612,
        0.0811987,
        0.078465,
        0.0897162,
        0.0881426,
        0.0733112,
        0.0725556,
        0.0713041,
        0.0727603,
        0.0715038,
        0.0728487,
        0.0732502,
        0.0751273,
        0.0740392,
        0.0716925,
        0.0706201,
        0.0670042,
        0.0654664,
        0.0641926,
        0.0635004,
        0.0632437,
        0.0643227,
        0.0623103,
        0.0632034,
        0.0640864,
        0.0645162,
        0.064198,
        0.0662957,
        0.0684493,
        0.0704571,
        0.0741073,
        0.075994,
        0.0798438,
        0.0832576,
        0.0865703,
        0.0938587,
        0.102894,
        0.111069,
        0.124883,
        0.141446,
        0.165648,
        0.188875,
        0.215432,
        0.296936,
        0.345526,
        0.263811,
        0.203722,
        0.169926,
        0.141409,
        0.122724,
        0.110413,
        0.101369,
        0.0937364,
        0.0867284,
        0.0819843,
        0.078922,
        0.0747817,
        0.0726422,
        0.0704597,
        0.0676891,
        0.0658799,
        0.0649875,
        0.0638944,
        0.0655952,
        0.0641365,
        0.0629682,
        0.0616111,
        0.060189,
        0.0597425,
        0.0582334,
        0.0568987,
        0.0559411,
        0.0546158,
        0.0540266,
        0.0537469,
        0.0538877,
        0.0535771,
        0.0530939,
        0.0536911,
        0.0535705,
        0.0542672,
        0.0539977,
        0.0538465,
        0.0532106,
        0.060428,
        0.0599199,
        0.0532648,
        0.0531364,
        0.0537243,
        0.0543822,
        0.054355,
        0.0541145,
        0.0540836,
        0.0528404,
        0.0513333,
        0.0505233,
        0.0507605,
        0.0510011,
        0.0512474,
        0.0513402,
        0.0500498,
        0.0507495,
        0.0505083,
        0.0503094,
        0.0502495,
        0.0510109,
        0.0511942,
        0.0513965,
        0.0523295,
        0.0525151,
        0.0504605,
        0.0502807,
        0.0503743,
        0.0507122,
        0.0505435,
        0.0504994,
        0.0510719,
        0.0507834,
        0.0506508,
        0.0506219,
        0.0504507,
        0.0516058,
        0.0512245,
        0.0502885,
        0.0507221,
        0.0508376,
        0.0509692,
        0.0505221,
        0.0506104,
        0.0507635,
        0.0512743,
        0.0553574,
        0.0545473,
        0.0513319,
        0.0514926,
        0.0524294,
        0.051982,
        0.0514688,
        0.051318,
        0.0511467,
        0.0516065,
        0.051451,
        0.0513632,
        0.0508424,
        0.0512674,
        0.0507311,
        0.0514014,
        0.0515326,
        0.0525286,
        0.0535557,
        0.0541983,
        0.054371,
        0.055219,
        0.0623567,
        0.06305,
        0.055316,
        0.0552075,
        0.053518,
        0.0534195,
        0.0534881,
        0.0532532,
        0.0528343,
        0.0523648,
        0.0525434,
        0.0526066,
        0.0544246,
        0.0552638,
        0.0541837,
        0.0557482,
        0.054911,
        0.0547763,
        0.0550026,
        0.0562038,
        0.0560484,
        0.0571289,
        0.0562722,
        0.0558993,
        0.0557422,
        0.0564466,
        0.0562293,
        0.0564602,
        0.0568897,
        0.0580121,
        0.0581696,
        0.0587928,
        0.0583456,
        0.0592215,
        0.0592795,
        0.0605506,
        0.0592511,
        0.0589413,
        0.0598271,
        0.0624649,
        0.0631742,
        0.0627247,
        0.0624841,
        0.0625943,
        0.0630611,
        0.0631468,
        0.0631408,
        0.0637946,
        0.0653031,
        0.0650042,
        0.0669452,
        0.0675428,
        0.0694968,
        0.0699381,
        0.0778108,
        0.0798258,
        0.0794595,
        0.0870983,
        0.0773951,
        0.0808243,
        0.0842661,
        0.0983585,
        0.109037,
        0.0937457,
        0.0982206,
        0.105698,
        0.111626,
        0.117717,
        0.125591,
        0.136019,
        0.16438,
        0.202626,
        0.245907,
        0.300417,
        0.405602,
        0.26771,
        0.221576,
        0.186026,
        0.159967,
        0.145666,
        0.133085,
        0.125229,
        0.120106,
        0.111616,
        0.111569,
        0.110154,
        0.103699,
        0.104618,
        0.10726,
        0.107265,
        0.106094,
        0.104832,
        0.106334,
        0.104758,
        0.108058,
        0.108471,
        0.114112,
        0.114036,
        0.11504,
        0.118459,
        0.120468,
        0.124008,
        0.1295,
        0.138687,
        0.141355,
        0.145482,
        0.153528,
        0.160206,
        0.172429,
        0.183869,
        0.190755,
        0.200891,
        0.227807,
        0.252808,
        0.282225,
        0.300678,
        0.299351,
        0.267645,
        0.252706,
        0.236238,
        0.222554,
        0.206501,
        0.188793,
        0.178921,
        0.166453,
        0.156583,
        0.149654,
        0.140017,
        0.132998,
        0.128706,
        0.127299,
        0.119881,
        0.114879,
        0.11456,
        0.112921,
        0.108327,
        0.109029,
        0.105067,
        0.103292,
        0.120425,
        0.118738,
        0.101808,
        0.103352,
        0.0962797,
        0.0956267,
        0.114027,
        0.108038,
        0.0863468,
        0.086948,
        0.0850069,
        0.0834898,
        0.0826922,
        0.0802992,
        0.0814593,
        0.0817498,
        0.0779715,
        0.0771837,
        0.0748123,
        0.0754213,
        0.0749537,
        0.0746165,
        0.0732777,
        0.0714328,
        0.0718125,
        0.0712222,
        0.0716745,
        0.0704341,
        0.0704071,
        0.0709895,
        0.0699974,
        0.0697497,
        0.0688112,
        0.0697386,
        0.069126,
        0.0699755,
        0.0686337,
        0.0683532,
        0.0692762,
        0.0693531,
        0.0686363,
        0.0679254,
        0.0688946,
        0.0688587,
        0.0681019,
        0.0690374,
        0.0685056,
        0.0682466,
        0.0696458,
        0.0694551,
        0.0695497,
        0.0695309,
        0.0700565,
        0.0707237,
        0.0702723,
        0.0717097,
        0.0715186,
        0.0727654,
        0.0732903,
        0.0747018,
        0.0766547,
        0.0770588,
        0.0922023,
        0.093563,
        0.0784946,
        0.0789036,
        0.0814243,
        0.0856743,
        0.0888524,
        0.0975408,
        0.0984699,
        0.0909111,
        0.0937399,
        0.098158,
        0.104122,
        0.107822,
        0.120439,
        0.13075,
        0.146433,
        0.163604,
        0.201375,
        0.237705,
        0.331787,
        0.268626,
        0.213749,
        0.172386,
        0.145221,
        0.128012,
        0.116799,
        0.106743,
        0.0998155,
        0.0951102,
        0.0897945,
        0.0880119,
        0.0839116,
        0.0812131,
        0.0815197,
        0.0801357,
        0.0774336,
        0.0759049,
        0.0754928,
        0.073797,
        0.0730904,
        0.0744123,
        0.0729791,
        0.0729211,
        0.0711486,
        0.072621,
        0.07143,
        0.0701431,
        0.0713392,
        0.0709362,
        0.0720795,
        0.0712893,
        0.0729398,
        0.0724697,
        0.0720099,
        0.0714448,
        0.0717445,
        0.0724045,
        0.0719443,
        0.072853,
        0.0737209,
        0.0736337,
        0.0757206,
        0.0756758,
        0.075552,
        0.0785894,
        0.0769149,
        0.0777537,
        0.0765267,
        0.0753959,
        0.0745409,
        0.0762908,
        0.0753864,
        0.0734504,
        0.0717463,
        0.0709823,
        0.0716643,
        0.0711677,
        0.0708696,
        0.0698239,
        0.069811,
        0.0705406,
        0.0709523,
        0.0713032,
        0.0717411,
        0.0715322,
        0.0721751,
        0.0714289,
        0.0715305,
        0.0719312,
        0.073337,
        0.0736313,
        0.0736699,
        0.073964,
        0.0737794,
        0.0743941,
        0.0746589,
        0.0730542,
        0.0736777,
        0.0748205,
        0.0743733,
        0.0748111,
        0.0744267,
        0.0753488,
        0.0765473,
        0.0762433,
        0.0765344,
        0.0804274,
        0.081796,
        0.0792589,
        0.0799401,
        0.0827088,
        0.0831866,
        0.0819804,
        0.0824922,
        0.0836585,
        0.0823558,
        0.0854397,
        0.0857529,
        0.0872565,
        0.0885768,
        0.0896034,
        0.0902669,
        0.0907259,
        0.0898618,
        0.0924523,
        0.0928353,
        0.0951131,
        0.0951694,
        0.0978491,
        null,
        0.0593247,
        0.0578293,
        0.0570831,
        0.0561954,
        0.0558599,
        0.0553305,
        0.0548601,
        0.0547292,
        0.0540196,
        0.0533103,
        0.0525505,
        0.051921,
        0.0515974,
        0.051687,
        0.0520362,
        0.0523536,
        0.051739,
        0.0516046,
        0.0511239,
        0.051189,
        0.0513402,
        0.0509322,
        0.0509701,
        0.0512779,
        0.0511361,
        0.0514045,
        0.0517467,
        0.0520158,
        0.0529831,
        0.0537205,
        0.0539313,
        0.0545476,
        0.0544446,
        0.0547737,
        0.0540911,
        0.0539631,
        0.0534083,
        0.0528257,
        0.052645,
        0.0522614,
        0.0518137,
        0.0514351,
        0.0510793,
        0.0507588,
        0.0509539,
        0.0509722,
        0.0506262,
        0.0511706,
        0.0508491,
        0.0502503,
        0.0500668,
        0.0508499,
        0.0509475,
        0.0493128,
        0.0493547,
        0.0495225,
        0.0494621,
        0.0493946,
        0.0487425,
        0.0481653,
        0.0481596,
        0.0478664,
        0.047592,
        0.0470181,
        0.0470216,
        0.0468903,
        0.0473508,
        0.0477999,
        0.0478275,
        0.0491627,
        0.0503519,
        0.0498939,
        0.0497734,
        0.0489127,
        0.0481222,
        0.0477964,
        0.0484504,
        0.0482162,
        0.0485195,
        0.0489175,
        0.0492566,
        0.0489851,
        0.0480765,
        0.0481849,
        0.0486372,
        0.0578596,
        0.058633,
        0.0494929,
        0.0499818,
        0.0496291,
        0.0489278,
        0.0494187,
        0.0491759,
        0.0490702,
        0.0496875,
        0.0488879,
        0.0481789,
        0.0480262,
        0.0477882,
        0.0476196,
        0.0471731,
        0.0472642,
        0.0467269,
        0.04762,
        0.0481046,
        0.0475394,
        0.0475456,
        0.0477354,
        0.0479439,
        0.0479647,
        0.0479301,
        0.047509,
        0.0469992,
        0.0468326,
        0.0465402,
        0.0459135,
        0.0462307,
        0.0463507,
        0.0462527,
        0.0460213,
        0.0458118,
        0.0458908,
        0.0459689,
        0.0462692,
        0.0465212,
        0.0464466,
        0.0466921,
        0.0469314,
        0.0472516,
        0.0478031,
        0.0478144,
        0.0489618,
        0.049789,
        0.050284,
        0.0511425,
        0.0516182,
        0.0529471,
        0.0551516,
        0.0576465,
        0.0610387,
        0.0641508,
        0.0682527,
        0.074887,
        0.0836305,
        0.0958685,
        0.113909,
        0.138651,
        0.15994,
        0.164932,
        0.155738,
        0.138591,
        0.113794,
        0.0968541,
        0.0866636,
        0.0769203,
        0.0710462,
        0.0656184,
        0.0620641,
        0.0596327,
        0.0574819,
        0.0558286,
        0.053988,
        0.0532934,
        0.0528706,
        0.0526415,
        0.0515599,
        0.0516972,
        0.0509754,
        0.05053,
        0.0508141,
        0.0502793,
        0.049745,
        0.052279,
        0.0530114,
        0.0485362,
        0.0490351,
        0.0498333,
        0.0498289,
        0.0508041,
        0.056966,
        0.0572886,
        0.0511173,
        0.0519815,
        0.0517371,
        0.0513328,
        0.0509202,
        0.0510106,
        0.0498932,
        0.049819,
        0.0501179,
        0.0495181,
        0.0504284,
        0.0509302,
        0.0508473,
        0.0507414,
        0.0502986,
        0.0495819,
        0.0497138,
        0.0512466,
        0.051657,
        0.0517336,
        0.0535356,
        0.0544671,
        0.0546076,
        0.0551125,
        0.0557699,
        0.0554782,
        0.0558967,
        0.0572252,
        0.0568425,
        0.0570931,
        0.0575134,
        0.0584946,
        0.0596092,
        0.0601893,
        0.0606637,
        0.060335,
        0.060513,
        0.0610792,
        0.0620159,
        0.0631873,
        0.0641892,
        0.0668953,
        0.0689743,
        0.0694722,
        0.0727297,
        0.0750756,
        0.0753968,
        0.0793583,
        0.0795384,
        0.0829601,
        0.0880224,
        0.0954575,
        0.0999757,
        0.104084,
        0.109603,
        0.116835,
        0.127246,
        0.142612,
        0.160776,
        0.188299,
        0.23459,
        0.287542,
        0.347974,
        0.309052,
        0.258712,
        0.217578,
        0.182589,
        0.159105,
        0.143602,
        0.134231,
        0.128431,
        0.122071,
        0.119614,
        0.115231,
        0.106001,
        0.10272,
        0.103729,
        0.103172,
        0.100385,
        0.0987058,
        0.0952869,
        0.0966274,
        0.0978116,
        0.0976316,
        0.0965673,
        0.0953741,
        0.0942987,
        0.097375,
        0.0977018,
        0.0992256,
        0.0966735,
        0.0975345,
        0.0985255,
        0.0982222,
        0.100799,
        0.100943,
        0.101032,
        0.102548,
        0.101315,
        0.0960271,
        0.0927486,
        0.0887356,
        0.0810281,
        0.0743158,
        0.0692701,
        0.0640696,
        0.0592189,
        0.0575325,
        0.056728,
        0.0554638,
        0.0558147,
        0.0563179,
        0.0557999,
        0.0553133,
        0.0551487,
        0.055197,
        0.0554538,
        0.0575431,
        0.0620352,
        0.0661157,
        0.0716805,
        0.0796807,
        0.0917526,
        0.100434,
        0.110317,
        0.112735,
        0.104112,
        0.0916191,
        0.0802826,
        0.0718262,
        0.0661462,
        0.0611451,
        0.0571693,
        0.0548342,
        0.0523075,
        0.0509953,
        0.0493864,
        0.0485571,
        0.0476962,
        0.0469985,
        0.0464087,
        0.0456455,
        0.04496,
        0.044999,
        0.0444815,
        0.0438793,
        0.0435229,
        0.0434526,
        0.0432262,
        0.0431926,
        0.0432596,
        0.0424565,
        0.0425935,
        0.0419469,
        0.0417986,
        0.0418098,
        0.0418735,
        0.0417211,
        0.0414527,
        0.0423864,
        0.0422634,
        0.0414477,
        0.0409657,
        0.041298,
        0.0405742,
        0.0397242,
        0.0399428,
        0.0392884,
        0.0391106,
        0.0391754,
        0.0392809,
        0.0388447,
        0.0384224,
        0.0384467,
        0.038741,
        0.0384975,
        0.0387785,
        0.0388694,
        0.0387248,
        0.0382991,
        0.0383267,
        0.0384643,
        0.0382225,
        0.0384833,
        0.0386633,
        0.0387755,
        0.0385542,
        0.0392185,
        0.0395508,
        0.0396224,
        0.0402538,
        0.0403937,
        0.0428246,
        0.0428901,
        0.0406998,
        0.0407744,
        0.0410309,
        0.0410877,
        0.0408971,
        0.0413728,
        0.0416502,
        0.0419355,
        0.0421163,
        0.0453941,
        0.0467391,
        0.0409237,
        0.0411535,
        0.0401703,
        0.0398627,
        0.0397162,
        0.0395534,
        0.0402507,
        0.0405344,
        0.0396782,
        0.0392758,
        0.0395063,
        0.039523,
        0.0389788,
        0.0384341,
        0.0384516,
        0.0386413,
        0.0383844,
        0.0385829,
        0.0383383,
        0.038188,
        0.0384294,
        0.0381747,
        0.0378845,
        0.0375806,
        0.0374659,
        0.0371307,
        0.0397895,
        0.0395448,
        0.0384116,
        0.0385386,
        0.0370707,
        0.0369348,
        0.0365398,
        0.0366243,
        0.0370436,
        0.0372146,
        0.0372229,
        0.0373448,
        0.0374383,
        0.0373961,
        0.0376932,
        0.0377463,
        0.0380058,
        0.0378247,
        0.0383335,
        0.0387543,
        0.0390824,
        0.0391599,
        0.0394599,
        0.0397533,
        0.0396782,
        0.039546,
        0.0395466,
        0.0393478,
        0.0391875,
        0.0391278,
        0.0391492,
        0.0393017,
        0.0394248,
        0.0387424,
        0.0395842,
        0.0398731,
        0.0403245,
        0.0397765,
        0.0402611,
        0.0404148,
        0.041025,
        0.0407664,
        0.0406776,
        0.0404671,
        0.0404458,
        0.0404512,
        0.0411923,
        0.0413795,
        0.0422849,
        0.0424256,
        0.0429162,
        0.0435465,
        0.0441196,
        0.0444883,
        0.0451623,
        0.0461701,
        0.048325,
        0.0500261,
        0.0490586,
        0.0525208,
        0.0555015,
        0.0596505,
        0.0659386,
        0.073241,
        0.0775599,
        0.0767676,
        0.073432,
        0.0679381,
        0.0612228,
        0.0561724,
        0.0531902,
        0.050001,
        0.0483874,
        0.0474993,
        0.0462928,
        0.0453164,
        0.0450984,
        0.0444076,
        0.0431034,
        0.0426885,
        0.0417895,
        0.0408074,
        0.0404223,
        0.0403567,
        0.0407152,
        0.04082,
        0.0409862,
        0.0409261,
        0.0412329,
        0.0417427,
        0.0415267,
        0.0417645,
        0.0427109,
        0.0428875,
        0.043181,
        0.0427745,
        0.0422212,
        0.0421851,
        0.0412217,
        0.0402532,
        0.0396937,
        0.0390477,
        0.0383608,
        0.0383979,
        0.0383124,
        0.0384056,
        0.0380936,
        0.0376113,
        0.0376215,
        0.0375827,
        0.0376688,
        0.0379983,
        0.0382171,
        0.0380594,
        0.0380093,
        0.0376359,
        0.0374323,
        0.0374036,
        0.0371622,
        0.0370913,
        0.0365241,
        0.0366485,
        0.0367006,
        0.0367103,
        0.0367347,
        0.0367445,
        0.036665,
        0.0365318,
        0.0368675,
        0.0366917,
        0.0368955,
        0.0372431,
        0.037989,
        0.0382997,
        0.0386215,
        0.0389674,
        0.0387518,
        0.0388945,
        0.0387787,
        0.038445,
        0.0383882,
        0.040003,
        0.0408054,
        0.039147,
        0.0393552,
        0.0388675,
        0.0387555,
        0.0389989,
        0.0390733,
        0.0390091,
        0.0390223,
        0.0387097,
        0.0389106,
        0.0396643,
        0.039776,
        0.0398028,
        0.0396861,
        0.0420284,
        0.0437821,
        0.0392092,
        0.0393109,
        0.0398337,
        0.0395043,
        0.0397305,
        0.0397278,
        0.0394022,
        0.0387628,
        0.0388603,
        0.0388961,
        0.038543,
        0.0387721,
        0.0390311,
        0.0391215,
        0.0391421,
        0.0387799,
        0.0386197,
        0.0388059,
        0.0387166,
        0.039435,
        0.0397694,
        0.0394676,
        0.0395271,
        0.0393725,
        0.0399357,
        0.0403554,
        0.0405788,
        0.0457901,
        0.0459129,
        0.0414137,
        0.0416043,
        0.0415532,
        0.0412054,
        0.0416182,
        0.0414637,
        0.0420295,
        0.0425571,
        0.0428545,
        0.0433296,
        0.0447118,
        0.0446209,
        0.0450231,
        0.0460021,
        0.047409,
        0.0486915,
        0.0506345,
        0.0521882,
        0.0546973,
        0.0575395,
        0.0595076,
        0.0629283,
        0.0665689,
        0.0715538,
        0.0753274,
        0.0830831,
        0.0910333,
        0.100814,
        0.115166,
        0.135546,
        0.145588,
        0.171175,
        0.176674,
        0.197232,
        0.20351,
        0.183017,
        0.161719,
        0.14677,
        0.128614,
        0.113932,
        0.10263,
        0.091473,
        0.0838955,
        0.0798318,
        0.0773035,
        0.0748055,
        0.0741796,
        0.0744896,
        0.0766675,
        0.0798099,
        0.0777155,
        0.0754342,
        0.0715603,
        0.0661419,
        0.060979,
        0.0569644,
        0.0535179,
        0.0502857,
        0.0478897,
        0.0467591,
        0.0450573,
        0.0439359,
        0.0428953,
        0.042615,
        0.0422083,
        0.041617,
        0.0411968,
        0.0408445,
        0.0401169,
        0.0401514,
        0.0397585,
        0.0399934,
        0.0402083,
        0.0397181,
        0.0394992,
        0.0395862,
        0.0393477,
        0.0395281,
        0.0396184,
        0.0396793,
        0.0393511,
        0.039625,
        0.038907,
        0.0391727,
        0.0413627,
        0.0488907,
        0.0431613,
        0.0392047,
        0.0394298,
        0.0387903,
        0.0390784,
        0.0388821,
        0.0386208,
        0.0385879,
        0.0400487,
        0.0397764,
        0.0389175,
        0.0386508,
        0.0395161,
        0.0440541,
        0.0434851,
        0.0388929,
        0.038328,
        0.0386186,
        0.0390275,
        0.0387867,
        0.0414991,
        0.0428011,
        0.0400666,
        0.0402143,
        0.0401786,
        0.0399433,
        0.0398318,
        0.0399542,
        0.03983,
        0.0400192,
        0.0391668,
        0.0384792,
        0.038038,
        0.0375633,
        0.0372715,
        0.0368954,
        0.036646,
        0.0365415,
        0.0363628,
        0.0365695,
        0.0363248,
        0.0403973,
        0.0386454,
        0.0359906,
        0.0358441,
        0.0361107,
        0.0371007,
        0.0368098,
        0.0369072,
        0.036919,
        0.0364345,
        0.0366522,
        0.0365965,
        0.0366363,
        0.036435,
        0.0364139,
        0.03638,
        0.0364319,
        0.0371469,
        0.0370083,
        0.0369905,
        0.0369815,
        0.0374083,
        0.0375341,
        0.0375896,
        0.0378192,
        0.0384933,
        0.0383457,
        0.037975,
        0.0377054,
        0.0374879,
        0.0378312,
        0.0381241,
        0.0374809,
        0.0374717,
        0.0412469,
        0.0399658,
        0.0369385,
        0.0372604,
        0.0370534,
        0.0366343,
        0.0367839,
        0.0365999,
        0.0367528,
        0.0365924,
        0.0366376,
        0.0363614,
        0.0364108,
        0.036593,
        0.0365013,
        0.0365738,
        0.037185,
        0.0373769,
        0.0362979,
        0.0359084,
        0.0357271,
        0.0358061,
        0.0355718,
        0.0358462,
        0.0357634,
        0.0356207,
        0.035884,
        0.035543,
        0.0356089,
        0.0358127,
        0.0364247,
        0.0368188,
        0.0375578,
        0.0376735,
        0.0375165,
        0.0378265,
        0.0381092,
        0.0400668,
        0.0394287,
        0.038756,
        0.0388271,
        0.039218,
        0.0427365,
        0.0432417,
        0.0385408,
        0.0386826,
        0.0391265,
        0.0387405,
        0.0380934,
        0.0383985,
        0.0387675,
        0.0393455,
        0.0392379,
        0.0398984,
        0.0404753,
        0.0409781,
        0.0420566,
        0.043281,
        0.0439866,
        0.0455351,
        0.04865,
        0.0497958,
        0.052626,
        0.0569729,
        0.0599443,
        0.0610712,
        0.061077,
        0.0580398,
        0.0549488,
        0.0524068,
        0.0500921,
        0.047963,
        0.0469181,
        0.0449722,
        0.0439222,
        0.0428394,
        0.0422644,
        0.0414104,
        0.0406863,
        0.0406197,
        0.0399771,
        0.0392582,
        0.0394086,
        0.0385732,
        0.0382929,
        0.0384615,
        0.0381174,
        0.0381425,
        0.0444375,
        0.0450196,
        0.0378481,
        0.03767,
        0.0373884,
        0.0371363,
        0.0371584,
        0.0369948,
        0.0372004,
        0.0371403,
        0.0370884,
        0.0372347,
        0.0367454,
        0.036777,
        0.0371796,
        0.0401037,
        0.0419735,
        0.0375311,
        0.0366045,
        0.036643,
        0.0372899,
        0.0376396,
        0.0375398,
        0.0373844,
        0.0371032,
        0.0380585,
        0.0382669,
        0.0386962,
        0.0388625,
        0.0387653,
        0.0390604,
        0.0390846,
        0.0396088,
        0.0405193,
        0.0398344,
        0.0401224,
        0.040451,
        0.0396567,
        0.0398022,
        0.0389703,
        0.0386153,
        0.0383984,
        0.0382963,
        0.0377036,
        0.0378214,
        0.037967,
        0.0379039,
        0.037859,
        0.037704,
        0.0375202,
        0.0374425,
        0.0379668,
        0.0375345,
        0.0377291,
        0.0374457,
        0.0376024,
        0.0376532,
        0.0373141,
        0.0373229,
        0.0367606,
        0.0365673,
        0.0366699,
        0.0363668,
        0.0366322,
        0.0366186,
        0.043318,
        0.0433782,
        0.0364018,
        0.042815,
        0.0428236,
        0.0366602,
        0.0366918,
        0.0363022,
        0.036379,
        0.036569,
        0.036429,
        0.0361635,
        0.0363965,
        0.0364747,
        0.0361184,
        0.0363585,
        0.036636,
        0.0367837,
        0.037106,
        0.0373434,
        0.0370058,
        0.037422,
        0.0373806,
        0.0373405,
        0.0378387,
        0.0379458,
        0.0384862,
        0.0380719,
        0.038851,
        0.040435,
        0.0386173,
        0.038469,
        0.0388104,
        0.0380882,
        0.0381442,
        0.0383217,
        0.0412554,
        0.040193,
        0.0383929,
        0.0377002,
        0.0375868,
        0.0379003,
        0.0376983,
        0.0376104,
        0.0426486,
        0.0409773,
        0.0370837,
        0.0372973,
        0.0374574,
        0.0372892,
        0.0375195,
        0.0375169,
        0.0378643,
        0.0379451,
        0.0382316,
        0.0384958,
        0.0383307,
        0.0380546,
        0.037546,
        0.037815,
        0.0371677,
        0.0368535,
        0.0376981,
        0.0373234,
        0.0373235,
        0.0372781,
        0.0375614,
        0.0375834,
        0.0372026,
        0.0372829,
        0.0373832,
        0.0367763,
        0.0371352,
        0.0374171,
        0.0375244,
        0.0375329,
        0.0376847,
        0.037712,
        0.0378103,
        0.0382527,
        0.039086,
        0.0394933,
        0.0403087,
        0.0410486,
        0.0415379,
        0.0428729,
        0.0449588,
        0.0469699,
        0.0486382,
        0.0497584,
        0.0511235,
        0.0513466,
        0.0506033,
        0.0491131,
        0.0481328,
        0.0469118,
        0.0468934,
        0.0469811,
        0.0483125,
        0.0482284,
        0.0475425,
        0.0470603,
        0.0453822,
        0.0438431,
        0.0431509,
        0.0424988,
        0.041603,
        0.0411086,
        0.0403168,
        0.0401238,
        0.0399596,
        0.0396781,
        0.03921,
        0.0386514,
        0.0386069,
        0.0382417,
        0.0387353,
        0.0384793,
        0.0378477,
        0.037512,
        0.0371917,
        0.037885,
        0.0397972,
        0.0385741,
        0.0374821,
        0.0400334,
        0.0395795,
        0.0370241,
        0.0373289,
        0.0377414,
        0.0396568,
        0.0399797,
        0.0385977,
        0.0391009,
        0.0380287,
        0.0384894,
        0.0430444,
        0.0426728,
        0.0384394,
        0.0385618,
        0.0388358,
        0.0391076,
        0.0391132,
        0.0391159,
        0.0391131,
        0.0387076,
        0.0386538,
        0.0385578,
        0.0384922,
        0.0388643,
        0.0386405,
        0.0385503,
        0.0386456,
        0.0384849,
        0.0386422,
        0.0387601,
        0.0385861,
        0.03873,
        0.0385777,
        0.0390907,
        0.0393589,
        0.0401987,
        0.0406922,
        0.0396155,
        0.0395395,
        0.0399989,
        0.0400456,
        0.0406989,
        0.041485,
        0.0417978,
        0.0431557,
        0.044011,
        0.0442072,
        0.0442902,
        0.044628,
        0.0440011,
        0.0433235,
        0.0423961,
        0.0416123,
        0.0415933,
        0.0404751,
        0.0396835,
        0.0395137,
        0.0391542,
        0.0389962,
        0.0385049,
        0.0388302,
        0.0387038,
        0.0386452,
        0.03868,
        0.0386944,
        0.0390101,
        0.0389931,
        0.0401479,
        0.0404761,
        0.0411592,
        0.0423868,
        0.0437409,
        0.0458996,
        0.0482852,
        0.0509584,
        0.052629,
        0.0584707,
        0.056532,
        0.0544053,
        0.0521419,
        0.0462723,
        0.0444453,
        0.0431087,
        0.0421362,
        0.0409775,
        0.0408278,
        0.0407411,
        0.0403081,
        0.0403007,
        0.0396775,
        0.0396199,
        0.0399123,
        0.0402188,
        0.0417367,
        0.0405118,
        0.0407198,
        0.0403284,
        0.0403909,
        0.0408635,
        0.0405327,
        0.0406458,
        0.0406346,
        0.0406391,
        0.0405506,
        0.0400335,
        0.0399696,
        0.0446963,
        0.0448163,
        0.0396935,
        0.0394103,
        0.0399582,
        0.039266,
        0.0391119,
        0.0393426,
        0.0391575,
        0.0392184,
        0.0387636,
        0.0384734,
        0.0386282,
        0.0386282,
        0.0390477,
        0.038738,
        0.0386752,
        0.0386074,
        0.0384353,
        0.040706,
        0.0409142,
        0.038704,
        0.0382799,
        0.0384613,
        0.0389397,
        0.0389063,
        0.0388939,
        0.0384636,
        0.0385334,
        0.0389148,
        0.0392172,
        0.0408536,
        0.0413347,
        0.0410267,
        0.0417242,
        0.0425684,
        0.0436673,
        0.0452583,
        0.0454779,
        0.0456328,
        0.0453632,
        0.0444472,
        0.0440891,
        0.0431687,
        0.0422451,
        0.0428061,
        0.0426313,
        0.0420174,
        0.0416074,
        0.0426746,
        0.0437196,
        0.046064,
        0.0463324,
        0.0457056,
        0.0489483,
        0.0500351,
        0.0501357,
        0.0511276,
        0.0514642,
        0.0508596,
        0.0493942,
        0.04832,
        0.0460273,
        0.0484869,
        0.0500947,
        0.0438659,
        0.0428993,
        0.0421786,
        0.0415035,
        0.0413403,
        0.0408675,
        0.0404178,
        0.040547,
        0.0405682,
        0.0404748,
        0.0404674,
        0.0402469,
        0.0405984,
        0.0408741,
        0.0407356,
        0.0408234,
        0.0413137,
        0.0414183,
        0.0415725,
        0.0405554,
        0.041554,
        0.0414078,
        0.040056,
        0.0397397,
        0.039698,
        0.0397292,
        0.0394184,
        0.0394424,
        0.0388576,
        0.0389333,
        0.0390272,
        0.0389906,
        0.0392045,
        0.0386219,
        0.0385354,
        0.0390554,
        0.0391471,
        0.0390038,
        0.0390063,
        0.0394904,
        0.0395743,
        0.0398436,
        0.0403086,
        0.0431832,
        0.0430934,
        0.0398893,
        0.0402229,
        0.0408701,
        0.0402298,
        0.0402888,
        0.0410264,
        0.0409109,
        0.0410833,
        0.041253,
        0.0412173,
        0.0454977,
        0.0441095,
        0.0413246,
        0.0416631,
        0.0409664,
        0.0405319,
        0.0404599,
        0.040663,
        0.0411086,
        0.0471534,
        0.0479918,
        0.0412549,
        0.0413102,
        0.0414485,
        0.040993,
        0.040802,
        0.0411197,
        0.0406373,
        0.0408502,
        0.0407978,
        0.0408542,
        0.0406362,
        0.0412277,
        0.0405398,
        0.0407439,
        0.0411655,
        0.0408812,
        0.0407213,
        0.0409272,
        0.0412757,
        0.0409819,
        0.0411888,
        0.0408489,
        0.040017,
        0.0406116,
        0.0443291,
        0.0432224,
        0.0400019,
        0.0412152,
        0.0416618,
        0.0467449,
        0.0523499,
        0.0453512,
        0.040097,
        0.0404037,
        0.0411019,
        0.0418768,
        0.0421063,
        0.0421829,
        0.0427084,
        0.0427725,
        0.043123,
        0.042918,
        0.0436243,
        0.0439367,
        0.0439492,
        0.0437055,
        0.043048,
        0.0426853,
        0.0434006,
        0.0436239,
        0.0434311,
        0.043239,
        0.0433025,
        0.0441188,
        0.0431338,
        0.0427433,
        0.0429867,
        0.042689,
        0.0425649,
        0.0430828,
        0.0429231,
        0.043297,
        0.0436047,
        0.0438685,
        0.0436296,
        0.0441459,
        0.0439081,
        0.0433088,
        0.0432549,
        0.0437318,
        0.0441299,
        0.0438538,
        0.0444511,
        0.0438917,
        0.0429546,
        0.0430114,
        0.0432704,
        0.0431353,
        0.0424974,
        0.0431051,
        0.043795,
        0.0444405,
        0.0439244,
        0.0441986,
        0.0443792,
        0.0445484,
        0.0449959,
        0.0458488,
        0.046787,
        0.047621,
        0.0483207,
        0.047749,
        0.048057,
        0.047338,
        0.0469123,
        0.0463262,
        0.0462192,
        0.0462243,
        0.0454603,
        0.0448681,
        0.044684,
        0.0450172,
        0.0444128,
        0.0449446,
        0.0454346,
        0.045587,
        0.0456948,
        0.0459541,
        0.0543347,
        0.0544133,
        0.0474911,
        0.0473456,
        0.0485619,
        0.0495925,
        0.0504991,
        0.0511512,
        0.0531433,
        0.054896,
        0.0578185,
        0.0599774,
        0.0658598,
        0.0676884,
        0.0608077,
        0.0589832,
        0.0568686,
        0.0558613,
        0.0552337,
        0.0549002,
        0.054278,
        0.0533284,
        0.0524268,
        0.0522586,
        0.052501,
        0.0556196,
        0.0544439,
        0.0559571,
        0.0593769,
        0.0505717,
        0.0510929,
        0.0511172,
        0.0505346,
        0.0497391,
        0.0503069,
        0.0506979,
        0.0509917,
        0.0502684,
        0.0509627,
        0.050207,
        0.0505745,
        0.0512161,
        0.0509977,
        0.0517217,
        0.0520969,
        0.0523685,
        0.0527096,
        0.0527882,
        0.053444,
        0.053812,
        0.0535799,
        0.0535538,
        0.0533447,
        0.054276,
        0.0543524,
        0.0608928,
        0.0616392,
        0.0553993,
        0.057108,
        0.0579365,
        0.058798,
        0.0598081,
        0.0608601,
        0.0618071,
        0.0621749,
        0.0633607,
        0.0643272,
        0.0677476,
        0.0689139,
        0.0707249,
        0.0728167,
        0.0750117,
        0.0767501,
        0.078786,
        0.0835603,
        0.0849484,
        0.087418,
        0.0925302,
        0.0966427,
        0.101123,
        0.107122,
        0.116803,
        0.122361,
        0.132558,
        0.141741,
        0.15461,
        0.173068,
        0.220139,
        0.252914,
        0.267034,
        0.254272,
        0.225069,
        0.191749,
        0.182766,
        0.167646,
        0.16003,
        0.149699,
        0.14753,
        0.145324,
        0.141106,
        0.127955,
        0.124019,
        0.123847,
        0.123561,
        0.121644,
        0.117831,
        0.12203,
        0.135892,
        0.139158,
        0.129219,
        0.13485,
        0.142372,
        0.149125,
        0.157983,
        0.163383,
        0.181275,
        0.191492,
        0.203137,
        0.225439,
        0.256192,
        0.315002,
        0.321751,
        0.282643,
        0.250608,
        0.216326,
        0.191849,
        0.180428,
        0.185789,
        0.167238,
        0.143807,
        0.136864,
        0.127784,
        0.117606,
        0.112927,
        0.105225,
        0.101791,
        0.0987588,
        0.0955428,
        0.0907796,
        0.088317,
        0.0917692,
        0.0916347,
        0.0829389,
        0.0811244,
        0.0792112,
        0.0815122,
        0.0776854,
        0.0752871,
        0.0734072,
        0.0855905,
        0.086028,
        0.0739862,
        0.0739824,
        0.0728807,
        0.0722237,
        0.0729676,
        0.0708144,
        0.0691656,
        0.0690772,
        0.0695038,
        0.069817,
        0.0684497,
        0.0702377,
        0.0744397,
        0.0773123,
        0.0802921,
        0.0836543,
        0.0872324,
        0.0873092,
        0.0870825,
        0.0817345,
        0.0764002,
        0.0722911,
        0.0750654,
        0.0726777,
        0.0666403,
        0.0656024,
        0.0646138,
        0.063024,
        0.0614844,
        0.0611503,
        0.061516,
        0.0604529,
        0.0605536,
        0.0613263,
        0.0605963,
        0.0624712,
        0.0607762,
        0.0588809,
        0.0587532,
        0.0589754,
        0.0583041,
        0.057695,
        0.0576015,
        0.0572576,
        0.0573122,
        0.0563336,
        0.0622916,
        0.0619968,
        0.0568087,
        0.0570585,
        0.0557639,
        0.0531565,
        0.0537134,
        0.0533656,
        0.0531633,
        0.0529794,
        0.0522616,
        0.0520228,
        0.0512769,
        0.0585432,
        0.05907,
        0.0512846,
        0.0512558,
        0.0517274,
        0.051115,
        0.0512639,
        0.0502626,
        0.0504219,
        0.0515416,
        0.0506752,
        0.0502266,
        0.0510025,
        0.0515872,
        0.05121,
        0.051651,
        0.0510423,
        0.0556977,
        0.0566196,
        0.0524635,
        0.0520225,
        0.0518126,
        0.0522291,
        0.0521936,
        0.0521625,
        0.0526019,
        0.0523791,
        0.052753,
        0.0535354,
        0.0532383,
        0.0533383,
        0.0526519,
        0.053382,
        0.0581808,
        0.0593915,
        0.0531414,
        0.0531461,
        0.0537721,
        0.0532969,
        0.052295,
        0.052625,
        0.0525308,
        0.0527703,
        0.0521015,
        0.0515975,
        0.0523414,
        0.0528235,
        0.0519368,
        0.0526119,
        0.0519733,
        0.0521093,
        0.0519866,
        0.0515351,
        0.051385,
        0.0519142,
        0.0519941,
        0.0514337,
        0.0509438,
        0.0517701,
        0.0516511,
        0.0524704,
        0.057664,
        0.0580866,
        0.0525512,
        0.052502,
        0.0513946,
        0.0522544,
        0.0527876,
        0.0531457,
        0.0522178,
        0.0516293,
        0.0507029,
        0.051444,
        0.0507566,
        0.0503335,
        0.0512682,
        0.0516416,
        0.0509237,
        0.0506442,
        0.050879,
        0.0508355,
        0.0511405,
        0.0506996,
        0.0508945,
        0.0518401,
        0.0519953,
        0.0519258,
        0.0520723,
        0.0521455,
        0.0522854,
        0.0529373,
        0.0550607,
        0.0564566,
        0.0532097,
        0.053445,
        0.0530102,
        0.0536852,
        0.0544199,
        0.0536065,
        0.0543986,
        0.0543616,
        0.0543771,
        0.0563092,
        0.0568825,
        0.0553378,
        0.0556777,
        0.0550787,
        0.0549063,
        0.0561587,
        0.0558538,
        0.0535798,
        0.0534689,
        0.0537186,
        0.0531759,
        0.0625608,
        0.0606436,
        0.0544375,
        0.053372,
        0.053909,
        0.0541452,
        0.0541561,
        0.0537965,
        0.0544133,
        0.0542958,
        0.0544596,
        0.0542318,
        0.053566,
        0.0527274,
        0.0529675,
        0.0529393,
        0.0528373,
        0.0514778,
        0.0517023,
        0.0519476,
        0.0517661,
        0.0514162,
        0.0515314,
        0.0515288,
        0.0517435,
        0.0522533,
        0.0544972,
        0.0564298,
        0.0528514,
        0.0529079,
        0.0528903,
        0.0544382,
        0.0544033,
        0.0551159,
        0.0552134,
        0.0564201,
        0.0566816,
        0.0582085,
        0.0651941,
        0.0726215,
        0.0650266,
        0.06793,
        0.0723383,
        0.0750676,
        0.076545,
        0.075381,
        0.0725943,
        0.0676517,
        0.0642256,
        0.0628084,
        0.0616048,
        0.0603133,
        0.0582518,
        0.0661692,
        0.0654706,
        0.0572439,
        0.0567241,
        0.0568789,
        0.0582409,
        0.0560224,
        0.0560499,
        0.05682,
        0.0561517,
        0.0558388,
        0.0563661,
        0.0570883,
        0.0564115,
        0.0563009,
        0.0561089,
        0.0560026,
        0.0561262,
        0.055344,
        0.0558888,
        0.0557584,
        0.0604392,
        0.0587744,
        0.0557818,
        0.0551776,
        0.0552339,
        0.0540136,
        0.0547934,
        0.0551992,
        0.0542792,
        0.0541928,
        0.0547978,
        0.0545584,
        0.0535675,
        0.0534974,
        0.0546362,
        0.0543731,
        0.0539536,
        0.0525615,
        0.0524904,
        0.0527898,
        0.0532305,
        0.0535787,
        0.0550344,
        0.0541787,
        0.0543515,
        0.0545253,
        0.0555417,
        0.0557131,
        0.0547197,
        0.0550106,
        0.0610297,
        0.0621925,
        0.0549288,
        0.0552054,
        0.0548498,
        0.0558836,
        0.0615316,
        0.0621644,
        0.0563928,
        0.0568711,
        0.0571927,
        0.0576624,
        0.0567478,
        0.0572979,
        0.0579434,
        0.0581413,
        0.057746,
        0.0587356,
        0.0580122,
        0.0584947,
        0.0593002,
        0.0593078,
        0.0590886,
        0.0592756,
        0.0594114,
        0.0597092,
        0.0607347,
        0.0639536,
        0.0634645,
        0.0602823,
        0.0601843,
        0.0602187,
        0.0614348,
        0.0609493,
        0.0626539,
        0.0626305,
        0.0605783,
        0.0601091,
        0.060072,
        0.0602494,
        0.0602265,
        0.0611018,
        0.0622798,
        0.0630511,
        0.0622085,
        0.0615735,
        0.06287,
        0.0626298,
        0.0626016,
        0.0628098,
        0.0628561,
        0.0627242,
        0.0626353,
        0.0626159,
        0.0640611,
        0.0637579,
        0.0641221,
        0.0641316,
        0.0646008,
        0.0644925,
        0.0649958,
        0.0647186,
        0.0654776,
        0.0655677,
        0.0649907,
        0.0660452,
        0.0671475,
        0.0673788,
        0.0679522,
        0.0691988,
        0.0694677,
        0.0690415,
        0.0704152,
        0.0719131,
        0.0730373,
        0.071241,
        0.0727333,
        0.0752071,
        0.0758891,
        0.0769775,
        0.0772068,
        0.0773281,
        0.0772516,
        0.0781767,
        0.0805055,
        0.0829433,
        0.0818162,
        0.0841388,
        0.0840993,
        0.084809,
        0.086727,
        0.0870568,
        0.0891476,
        0.0923369,
        0.0927166,
        0.0954086,
        0.0931387,
        0.0955129,
        0.0990674,
        0.101885,
        0.103165,
        0.104754,
        0.108414,
        0.109583,
        0.110817,
        0.115991,
        0.118382,
        0.121996,
        0.141176,
        0.151897,
        0.133467,
        0.137712,
        0.149141,
        0.158844,
        0.162705,
        0.169269,
        0.185606,
        0.222125,
        0.226746,
        0.225663,
        0.253321,
        0.264731,
        0.286042,
        0.337973,
        0.312194,
        0.277367,
        0.260896,
        null,
        0.0577344,
        0.0642097,
        0.0634288,
        0.0562731,
        0.0557681,
        0.0623886,
        0.0675603,
        0.0573784,
        0.0573707,
        0.0568335,
        0.0565693,
        0.0564248,
        0.0569937,
        0.0572005,
        0.0635816,
        0.0639373,
        0.0569204,
        0.0572815,
        0.0581733,
        0.0581617,
        0.0583059,
        0.0581417,
        0.0589379,
        0.0593757,
        0.060156,
        0.0604246,
        0.0602824,
        0.0601554,
        0.0603633,
        0.0604192,
        0.0597095,
        0.0594623,
        0.0598101,
        0.059798,
        0.0595034,
        0.0597468,
        0.0599564,
        0.0601994,
        0.0600488,
        0.061146,
        0.0601895,
        0.0607117,
        0.0612923,
        0.0613308,
        0.061374,
        0.0621927,
        0.0632723,
        0.0639808,
        0.0640239,
        0.0640087,
        0.063737,
        0.0649489,
        0.0659269,
        0.0666253,
        0.066965,
        0.0667009,
        0.0682966,
        0.0698519,
        0.0721873,
        0.0747379,
        0.0803408,
        0.0847012,
        0.0868455,
        0.0844188,
        0.0820274,
        0.0774269,
        0.0740465,
        0.0725367,
        0.0720758,
        0.0702682,
        0.0695357,
        0.0692586,
        0.0702667,
        0.0713197,
        0.0713556,
        0.0704026,
        0.0707551,
        0.0704643,
        0.0697692,
        0.071,
        0.0718979,
        0.0724608,
        0.0724656,
        0.0737444,
        0.073732,
        0.0750293,
        0.0765235,
        0.0759434,
        0.0771903,
        0.0793179,
        0.0804223,
        0.0811538,
        0.0832304,
        0.0819006,
        0.0819627,
        0.0831618,
        0.0837306,
        0.0904221,
        0.0919138,
        0.0883224,
        0.0893654,
        0.0927161,
        0.0947644,
        0.0953885,
        0.0951985,
        0.0969629,
        0.100054,
        0.100471,
        0.104415,
        0.107561,
        0.110103,
        0.111347,
        0.114278,
        0.123693,
        0.128788,
        0.127522,
        0.134469,
        0.139153,
        0.14392,
        0.153164,
        0.163264,
        0.168126,
        0.182851,
        0.190663,
        0.208878,
        0.222325,
        0.250182,
        0.275318,
        0.298171,
        0.349159,
        0.380178,
        0.364436,
        0.310237,
        0.279775,
        0.266158,
        0.29214,
        0.273675,
        0.228671,
        0.21647,
        0.200851,
        0.19125,
        0.186447,
        0.179764,
        0.176954,
        0.177254,
        0.17392,
        0.171329,
        0.164026,
        0.158869,
        0.164952,
        0.162552,
        0.165085,
        0.166395,
        0.165126,
        0.170588,
        0.172163,
        0.173605,
        0.186859,
        0.185311,
        0.184086,
        0.18745,
        0.193153,
        0.20206,
        0.212008,
        0.231769,
        0.245073,
        0.244789,
        0.270076,
        0.290134,
        0.304087,
        0.323242,
        0.33743,
        0.365535,
        0.31192,
        0.281941,
        0.268838,
        0.25234,
        0.241116,
        0.227452,
        0.218419,
        0.210802,
        0.196678,
        0.178363,
        0.168417,
        0.163545,
        0.189863,
        0.180625,
        0.148564,
        0.14623,
        0.140678,
        0.1385,
        0.152159,
        0.150424,
        0.12742,
        0.123033,
        0.12062,
        0.118524,
        0.114969,
        0.117767,
        0.119018,
        0.117322,
        0.113267,
        0.108322,
        0.107207,
        0.106538,
        0.106045,
        0.105654,
        0.102518,
        0.102063,
        0.102926,
        0.103424,
        0.102977,
        0.10098,
        0.0996463,
        0.0987807,
        0.0991958,
        0.0992828,
        0.0987176,
        0.0993075,
        0.097243,
        0.0984023,
        0.104902,
        0.104713,
        0.1003,
        0.099519,
        0.0990961,
        0.0992354,
        0.0988024,
        0.0996545,
        0.101938,
        0.10155,
        0.103217,
        0.104628,
        0.106993,
        0.108692,
        0.108179,
        0.108235,
        0.107916,
        0.109077,
        0.111605,
        0.114457,
        0.115981,
        0.117531,
        0.11742,
        0.119182,
        0.119471,
        0.123058,
        0.126262,
        0.124962,
        0.128727,
        0.126574,
        0.13097,
        0.134889,
        0.134974,
        0.141861,
        0.141808,
        0.142742,
        0.143736,
        0.146338,
        0.153454,
        0.159185,
        0.162565,
        0.15865,
        0.166904,
        0.167519,
        0.172941,
        0.179428,
        0.185548,
        0.195228,
        0.200785,
        0.206072,
        0.219079,
        0.229497,
        0.231616,
        0.239021,
        0.252732,
        0.270558,
        0.265057,
        0.293846,
        0.313479,
        0.347925,
        0.357127,
        0.386884,
        null,
        0.382025,
        0.29932,
        0.279574,
        0.281824,
        0.270988,
        0.259658,
        0.241721,
        0.229298,
        0.21658,
        0.219118,
        0.203293,
        0.187559,
        0.183995,
        0.183347,
        0.184727,
        0.172061,
        0.167775,
        0.163269,
        0.159628,
        0.151923,
        0.143605,
        0.137689,
        0.135939,
        0.133887,
        0.131359,
        0.13042,
        0.12548,
        0.122746,
        0.119192,
        0.118287,
        0.11562,
        0.112482,
        0.110254,
        0.110599,
        0.106024,
        0.103859,
        0.102461,
        0.102642,
        0.0996302,
        0.0984867,
        0.0961837,
        0.0962497,
        0.0943184,
        0.0942441,
        0.0914585,
        0.0904189,
        0.0921107,
        0.0900656,
        0.0889341,
        0.0876823,
        0.0871697,
        0.0856279,
        0.0869036,
        0.084783,
        0.083234,
        0.08334,
        0.0823002,
        0.0806805,
        0.0783935,
        0.0789237,
        0.0772403,
        0.0781012,
        0.0766556,
        0.0750284,
        0.0753597,
        0.0741461,
        0.0739949,
        0.0740004,
        0.0722374,
        0.071304,
        0.0729474,
        0.0710028,
        0.0703723,
        0.0696124,
        0.0698567,
        0.0689167,
        0.069067,
        0.0679791,
        0.0676933,
        0.0661556,
        0.065461,
        0.0649492,
        0.0646619,
        0.0650597,
        0.0640801,
        0.0640697,
        0.0628838,
        0.061951,
        0.0624948,
        0.0610456,
        0.0603925,
        0.061632,
        0.0624216,
        0.0591546,
        0.0598934,
        0.0591896,
        0.0588825,
        0.057606,
        0.0574633,
        0.0581373,
        0.0580906,
        0.0575336,
        0.0574127,
        0.057003,
        0.0563787,
        0.0559623,
        0.056626,
        0.0559433,
        0.0555878,
        0.0557896,
        0.0558773,
        0.0555946,
        0.0554889,
        0.0551155,
        0.0550228,
        0.0551577,
        0.0552122,
        0.055998,
        0.0561639,
        0.0565367,
        0.0566511,
        0.0571585,
        0.0587163,
        0.0598287,
        0.0602327,
        0.0594296,
        0.0567569,
        0.0571533,
        0.0567121,
        0.0570519,
        0.0567204,
        0.0568862,
        0.057293,
        0.0567206,
        0.056261,
        0.0564328,
        0.0565729,
        0.0556231,
        0.0552562,
        0.0545801,
        0.0542132,
        0.0540395,
        0.0536855,
        0.0537628,
        0.0540632,
        0.0535171,
        0.0540573,
        0.0548308,
        0.0544885,
        0.0560999,
        0.0576361,
        0.059561,
        0.0621627,
        0.0648387,
        0.0666863,
        0.0655645,
        0.063074,
        0.0602741,
        0.058268,
        0.0553773,
        0.0545108,
        0.0529559,
        0.0520662,
        0.0518765,
        0.051075,
        0.0505272,
        0.0506758,
        0.0504757,
        0.0509926,
        0.0502836,
        0.0504993,
        0.0503562,
        0.0495752,
        0.0496888,
        0.0500405,
        0.0503943,
        0.0504946,
        0.0497296,
        0.0496788,
        0.0495587,
        0.0497713,
        0.0514477,
        0.0512418,
        0.051331,
        0.0519387,
        0.0518785,
        0.0521372,
        0.0524482,
        0.052451,
        0.0529608,
        0.0515877,
        0.0518818,
        0.0513041,
        0.0503241,
        0.0498758,
        0.0507606,
        0.049917,
        0.0503219,
        0.0498994,
        0.0500145,
        0.0502538,
        0.0497195,
        0.0496139,
        0.049916,
        0.0493067,
        0.0486666,
        0.0481843,
        0.047913,
        0.0477355,
        0.0479907,
        0.0477484,
        0.047607,
        0.047649,
        0.0472046,
        0.0465103,
        0.0470673,
        0.0461595,
        0.0462745,
        0.0461274,
        0.0455047,
        0.0458959,
        0.0491517,
        0.0504901,
        0.0467416,
        0.0464616,
        0.0467152,
        0.0477258,
        0.0485001,
        0.0488669,
        0.0497805,
        0.0514053,
        0.0522561,
        0.0528514,
        0.0541534,
        0.0543985,
        0.0541924,
        0.0533621,
        0.0530644,
        0.051428,
        0.0504097,
        0.049769,
        0.0497604,
        0.0485793,
        0.0483043,
        0.0472226,
        0.046599,
        0.0463739,
        0.0464273,
        0.0464106,
        0.0459843,
        0.0459187,
        0.0459239,
        0.0455757,
        0.0458331,
        0.0454815,
        0.0455859,
        0.0454917,
        0.0458435,
        0.0459149,
        0.0450044,
        0.0448373,
        0.0454336,
        0.0458756,
        0.0454117,
        0.0451346,
        0.0449483,
        0.053587,
        0.05276,
        0.0439828,
        0.0432246,
        0.0433718,
        0.0436913,
        0.0430696,
        0.0432662,
        0.0432234,
        0.0431834,
        0.0429974,
        0.0429386,
        0.0425903,
        0.0420569,
        0.0423075,
        0.0423976,
        0.0424521,
        0.0444079,
        0.0461046,
        0.0420814,
        0.0426421,
        0.0422853,
        0.0430924,
        0.0429897,
        0.0422928,
        0.0422634,
        0.0424738,
        0.0431511,
        0.0429666,
        0.0431094,
        0.0431539,
        0.0439428,
        0.043708,
        0.0433194,
        0.0426901,
        0.0430966,
        0.0430523,
        0.0430405,
        0.0427269,
        0.0426296,
        0.0429031,
        0.0429824,
        0.0427029,
        0.0432707,
        0.0430727,
        0.0429702,
        0.0432706,
        0.0432308,
        0.0428889,
        0.0430672,
        0.0435537,
        0.0435642,
        0.0439026,
        0.0433173,
        0.0439191,
        0.0435719,
        0.0434012,
        0.0432873,
        0.043502,
        0.0438266,
        0.0438285,
        0.0434521,
        0.0435599,
        0.0438313,
        0.0444426,
        0.0443231,
        0.0449779,
        0.0452758,
        0.0456867,
        0.0466314,
        0.0479182,
        0.0492783,
        0.0519086,
        0.0543725,
        0.055183,
        0.0556376,
        0.0544106,
        0.0520662,
        0.0498563,
        0.0477167,
        0.0466452,
        0.0455592,
        0.0448998,
        0.0436944,
        0.0436883,
        0.044349,
        0.0454531,
        0.0449161,
        0.0423515,
        0.0429735,
        0.0424698,
        0.0425342,
        0.0419856,
        0.0417482,
        0.0421129,
        0.0425123,
        0.042619,
        0.0424093,
        0.0423153,
        0.041678,
        0.0422713,
        0.0426463,
        0.0424,
        0.0428408,
        0.0429066,
        0.0426585,
        0.0430789,
        0.0430771,
        0.0431458,
        0.043031,
        0.0427929,
        0.0429891,
        0.043099,
        0.0458445,
        0.0458185,
        0.0434779,
        0.0431207,
        0.0430608,
        0.042732,
        0.0431153,
        0.0428285,
        0.0433862,
        0.0426178,
        0.0424631,
        0.0463961,
        0.0461054,
        0.0437632,
        0.0437534,
        0.0420732,
        0.0421155,
        0.0419236,
        0.042071,
        0.0419134,
        0.0420557,
        0.0422018,
        0.0429444,
        0.0424142,
        0.0422789,
        0.042604,
        0.0419484,
        0.0412839,
        0.0416043,
        0.0418055,
        0.0417779,
        0.0417859,
        0.04225,
        0.0421907,
        0.0424386,
        0.0428092,
        0.0431306,
        0.0431488,
        0.0434863,
        0.0444007,
        0.0437792,
        0.0429777,
        0.042784,
        0.042845,
        0.0433867,
        0.0440842,
        0.0446929,
        0.0452397,
        0.0459253,
        0.0463267,
        0.0462166,
        0.0459123,
        0.0461458,
        0.0460751,
        0.0453924,
        0.0448545,
        0.0443997,
        0.0443402,
        0.0437006,
        0.0436237,
        0.0437661,
        0.0457165,
        0.0450887,
        0.0423577,
        0.0423192,
        0.0423213,
        0.0423568,
        0.0422804,
        0.0424017,
        0.0419131,
        0.0419807,
        0.0427376,
        0.0423636,
        0.0422943,
        0.0420991,
        0.0418011,
        0.043513,
        0.0431524,
        0.0417635,
        0.0421411,
        0.0416453,
        0.0415296,
        0.0411801,
        0.0410593,
        0.0412513,
        0.0415045,
        0.0401704,
        0.040864,
        0.0404111,
        0.0404705,
        0.0405536,
        0.0404982,
        0.0402885,
        0.0406822,
        0.0406704,
        0.0403305,
        0.0409848,
        0.0407662,
        0.0406122,
        0.0403488,
        0.0403647,
        0.0401983,
        0.0405932,
        0.0408354,
        0.040553,
        0.0411299,
        0.0452087,
        0.049074,
        0.0413778,
        0.0419398,
        0.0419719,
        0.041881,
        0.0421258,
        0.0418809,
        0.0424774,
        0.0422684,
        0.0424122,
        0.042755,
        0.0432284,
        0.044887,
        0.0450129,
        0.0433265,
        0.0436848,
        0.0441376,
        0.044551,
        0.0452067,
        0.0454179,
        0.0451924,
        0.0457831,
        0.0459125,
        0.0452104,
        0.0447514,
        0.0445223,
        0.044405,
        0.044402,
        0.0443381,
        0.0440648,
        0.047729,
        0.0474863,
        0.0447003,
        0.0442076,
        0.0446725,
        0.0447219,
        0.0451542,
        0.0455842,
        0.0463816,
        0.0476869,
        0.0484446,
        0.0560425,
        0.0589731,
        0.0549811,
        0.0552036,
        0.053976,
        0.0515008,
        0.0501482,
        0.0484222,
        0.0467538,
        0.0451369,
        0.0446439,
        0.0432802,
        0.0436888,
        0.0436161,
        0.0427242,
        0.0419862,
        0.0418702,
        0.042024,
        0.0418467,
        0.0420117,
        0.0413944,
        0.0412913,
        0.0414231,
        0.0409484,
        0.0416701,
        0.0415578,
        0.0414644,
        0.0414347,
        0.0414587,
        0.0415587,
        0.0416581,
        0.0422845,
        0.0418252,
        0.0422797,
        0.0431086,
        0.0426074,
        0.0420179,
        0.0424017,
        0.0429531,
        0.0423391,
        0.0425426,
        0.0430262,
        0.0425096,
        0.0424206,
        0.0426105,
        0.0430325,
        0.0471762,
        0.0459975,
        0.042883,
        0.0426497,
        0.0425688,
        0.0430076,
        0.0426983,
        0.0424153,
        0.0430512,
        0.0438,
        0.0434331,
        0.0430678,
        0.0427324,
        0.0420929,
        0.0417058,
        0.0417194,
        0.0428388,
        0.0425931,
        0.0419356,
        0.0415136,
        0.0414012,
        0.0463238,
        0.0491102,
        0.0416369,
        0.0419168,
        0.0422407,
        0.042249,
        0.0426102,
        0.042674,
        0.0423354,
        0.0425898,
        0.0433585,
        0.0434785,
        0.0441036,
        0.0439232,
        0.0438786,
        0.044907,
        0.0543267,
        0.0516128,
        0.0425963,
        0.0423038,
        0.0421576,
        0.0419694,
        0.0417777,
        0.0417888,
        0.0419489,
        0.0417972,
        0.0421485,
        0.0422365,
        0.04204,
        0.0423784,
        0.0425749,
        0.0424849,
        0.0431303,
        0.042826,
        0.042706,
        0.0432011,
        0.0428473,
        0.0427678,
        0.0427657,
        0.0429779,
        0.0431476,
        0.043786,
        0.0446477,
        0.0444233,
        0.0447082,
        0.0451291,
        0.0454763,
        0.0460758,
        0.0479278,
        0.0482082,
        0.0459747,
        0.04551,
        0.0453216,
        0.0459496,
        0.0458514,
        0.0452729,
        0.0455369,
        0.0463044,
        0.0469946,
        0.0478113,
        0.047824,
        0.0496487,
        0.0542329,
        0.0682831,
        0.0624778,
        0.0521618,
        0.0519448,
        0.0505808,
        0.0483898,
        0.0472324,
        0.0460843,
        0.0454439,
        0.0450972,
        0.0444545,
        0.0438588,
        0.0429941,
        0.0420887,
        0.0421483,
        0.0420711,
        0.0415562,
        0.0417908,
        0.0416331,
        0.0419126,
        0.0417536,
        0.0442862,
        0.0447319,
        0.0417057,
        0.0416757,
        0.0417742,
        0.0418146,
        0.0425765,
        0.0422217,
        0.0425319,
        0.0430423,
        0.0424977,
        0.0426044,
        0.0427326,
        0.0433846,
        0.0429138,
        0.0430404,
        0.0433037,
        0.0440354,
        0.0439696,
        0.0441273,
        0.0440941,
        0.0441727,
        0.0444939,
        0.0486213,
        0.0485429,
        0.044349,
        0.0440937,
        0.0446768,
        0.0457365,
        0.0451251,
        0.0451561,
        0.0450504,
        0.0454264,
        0.0450927,
        0.0450238,
        0.0456387,
        0.0460135,
        0.0463609,
        0.0470554,
        0.0476674,
        0.0488877,
        0.0517559,
        0.0537036,
        0.0529925,
        0.0540393,
        0.0544433,
        0.0533267,
        0.051565,
        0.0501038,
        0.0486484,
        0.0474172,
        0.0465725,
        0.0461607,
        0.0480419,
        0.0465444,
        0.0459181,
        0.0459532,
        0.0482979,
        0.0467121,
        0.0438773,
        0.0442634,
        0.0442598,
        0.0440028,
        0.0439357,
        0.0475368,
        0.0487994,
        0.0447272,
        0.04484,
        0.0531107,
        0.0537226,
        0.0453073,
        0.0453046,
        0.0454081,
        0.0459726,
        0.0452227,
        0.0451763,
        0.0462385,
        0.0464863,
        0.0455259,
        0.046115,
        0.0463405,
        0.0471743,
        0.0467026,
        0.0469801,
        0.0478096,
        0.0475926,
        0.0484345,
        0.0485319,
        0.0491897,
        0.0497854,
        0.0489241,
        0.0495261,
        0.0491656,
        0.049656,
        0.0494101,
        0.049763,
        0.0501794,
        0.0495604,
        0.0497956,
        0.0499161,
        0.052282,
        0.0522096,
        0.0504084,
        0.050062,
        0.0513595,
        0.0514277,
        0.0509075,
        0.0509324,
        0.0510684,
        0.051529,
        0.0511402,
        0.0525349,
        0.0527285,
        0.0524385,
        0.0530436,
        0.0528687,
        0.0536371,
        0.0535931,
        0.0533927,
        0.0528718,
        0.0556565,
        0.0568877,
        0.0560712,
        0.0554193,
        0.056071,
        0.0570293,
        0.056681,
        0.0575165,
        0.0587897,
        0.0603036,
        0.0606801,
        0.0616627,
        0.0628407,
        0.0634325,
        0.0679973,
        0.0662217,
        0.0672687,
        0.0731589,
        0.0789656,
        0.0724951,
        0.0743319,
        0.076948,
        0.0793416,
        0.0810819,
        0.0830786,
        0.0864278,
        0.0902868,
        0.0945894,
        0.0987272,
        0.103729,
        0.108419,
        0.115499,
        0.124129,
        0.149483,
        0.164181,
        0.156559,
        0.170984,
        0.188217,
        0.202941,
        0.235786,
        0.296908,
        0.342198,
        0.298942,
        0.238561,
        0.211711,
        0.195128,
        0.170567,
        0.156626,
        0.140911,
        0.134136,
        0.127224,
        0.11912,
        0.113638,
        0.109385,
        0.100907,
        0.0979685,
        0.0938191,
        0.0898438,
        0.0877928,
        0.0837024,
        0.0816207,
        0.0808497,
        0.0802707,
        0.0774527,
        0.0762737,
        0.0760856,
        0.072199,
        0.0713388,
        0.0713348,
        0.0732343,
        0.0705696,
        0.0687365,
        0.0681746,
        0.0685506,
        0.0665752,
        0.0653154,
        0.063985,
        0.0640653,
        0.0652115,
        0.0639356,
        0.062726,
        0.0621457,
        0.0625128,
        0.061491,
        0.0608633,
        0.0604637,
        0.0616042,
        0.0618214,
        0.06015,
        0.0603986,
        0.0614018,
        0.061244,
        0.062837,
        0.0636772,
        0.0654188,
        0.0662957,
        0.0642867,
        0.0642692,
        0.0622207,
        0.0603147,
        0.0581681,
        0.0578308,
        0.0567745,
        0.0554064,
        0.0547966,
        0.055173,
        0.0546132,
        0.0576854,
        0.057225,
        0.0528884,
        0.0526842,
        0.0526381,
        0.0534361,
        0.0529427,
        0.0532815,
        0.0522288,
        0.0525926,
        0.0528025,
        0.052367,
        0.0527678,
        0.0528671,
        0.0539492,
        0.0531605,
        0.0532962,
        0.0529542,
        0.0523098,
        0.0526578,
        0.0526673,
        0.0533014,
        0.0538405,
        0.0540763,
        0.0532607,
        0.0543148,
        0.0547038,
        0.0544183,
        0.0538863,
        0.0541882,
        0.0537543,
        0.0548233,
        0.0545064,
        0.0551466,
        0.0606265,
        0.0619614,
        0.0552758,
        0.0551422,
        0.0555437,
        0.0565249,
        0.0560028,
        0.056278,
        0.0559615,
        0.0553248,
        0.0560071,
        0.0561759,
        0.0560617,
        0.0567735,
        0.0571336,
        0.056962,
        0.0573693,
        0.0585037,
        0.0577855,
        0.0586308,
        0.0590041,
        0.0590036,
        0.0580736,
        0.0580441,
        0.0586931,
        0.0597492,
        0.0596109,
        0.0599402,
        0.0636792,
        0.0634215,
        0.0614067,
        0.0612423,
        0.0619421,
        0.0624864,
        0.0629935,
        0.065057,
        0.0663352,
        0.0673134,
        0.0683,
        0.0697049,
        0.0734342,
        0.0751164,
        0.0781336,
        0.0800071,
        0.0827304,
        0.0849583,
        0.087224,
        0.0885304,
        0.0866602,
        0.0869368,
        0.0877018,
        0.0870684,
        0.0868314,
        0.0877664,
        0.0880823,
        0.0899143,
        0.0903897,
        0.0933246,
        0.0951561,
        0.0959963,
        0.0988761,
        0.102945,
        0.107022,
        0.112322,
        0.113568,
        0.118262,
        0.127307,
        0.13264,
        0.136604,
        0.146016,
        0.159008,
        0.17525,
        0.187165,
        0.198595,
        0.203323,
        0.225261,
        0.259382,
        0.289921,
        0.361313,
        0.309129,
        0.271242,
        0.235158,
        0.212746,
        0.193553,
        0.173982,
        0.165752,
        0.155019,
        0.145606,
        0.142761,
        0.134322,
        0.131805,
        0.122672,
        0.115462,
        0.111407,
        0.108343,
        0.105062,
        0.102036,
        0.0984737,
        0.0962048,
        0.0926342,
        0.0926269,
        0.0900822,
        0.0873024,
        0.0864341,
        0.0842253,
        0.0834174,
        0.0824782,
        0.080746,
        0.0812402,
        0.0783786,
        0.0777222,
        0.0777614,
        0.0760608,
        0.0748085,
        0.0747937,
        0.0739036,
        0.0736202,
        0.0729792,
        0.0717957,
        0.0718377,
        0.0723692,
        0.0734899,
        0.074728,
        0.0814718,
        0.0812147,
        0.0726765,
        0.0859419,
        0.083062,
        0.0669094,
        0.0665079,
        0.0662573,
        0.0657445,
        0.0648069,
        0.063316,
        0.0637725,
        0.0615958,
        0.0600193,
        0.0596517,
        0.0596133,
        0.0602536,
        0.0589352,
        0.0594071,
        0.0580529,
        0.0570774,
        0.0572274,
        0.0567792,
        0.056808,
        0.0564021,
        0.0571606,
        0.0586874,
        0.0590423,
        0.0577749,
        0.0574543,
        0.0570703,
        0.0567375,
        0.0570018,
        0.057692,
        0.0578565,
        0.0561783,
        0.055877,
        0.0565454,
        0.0573328,
        0.0573724,
        0.0576767,
        0.0556807,
        0.0554092,
        0.0561378,
        0.0554748,
        0.0557986,
        0.0559763,
        0.0553025,
        0.0570045,
        0.0578197,
        0.0563715,
        0.0553645,
        0.0550173,
        0.0552948,
        0.0554961,
        0.0551514,
        0.0554501,
        0.0551132,
        0.0569702,
        0.0554297,
        0.0553399,
        0.0548398,
        0.0544125,
        0.0543452,
        0.0540899,
        0.0536929,
        0.0538402,
        0.0537013,
        0.0531523,
        0.0535264,
        0.0598069,
        0.0655893,
        0.062374,
        0.0572815,
        0.0566543,
        0.0542428,
        0.054135,
        0.0535453,
        0.0533632,
        0.0528353,
        0.05251,
        0.0530277,
        0.0520706,
        0.0518714,
        0.0518827,
        0.0529359,
        0.0531065,
        0.0517533,
        0.0588376,
        0.0593765,
        0.0518823,
        0.0514707,
        0.0516904,
        0.0513444,
        0.0517007,
        0.0514554,
        0.0522961,
        0.051785,
        0.0521758,
        0.0520118,
        0.0515518,
        0.0515444,
        0.052159,
        0.0524985,
        0.053671,
        0.0535699,
        0.0521983,
        0.0530618,
        0.0523062,
        0.0540043,
        0.0537528,
        0.0532815,
        0.0527919,
        0.0530546,
        0.0536226,
        0.0540968,
        0.0544114,
        0.0539955,
        0.0535711,
        0.054582,
        0.0544885,
        0.054175,
        0.0550052,
        0.0544957,
        0.0546689,
        0.0547088,
        0.0551525,
        0.0547984,
        0.054812,
        0.0543118,
        0.0552897,
        0.0550089,
        0.0538971,
        0.0543779,
        0.0591704,
        0.0590109,
        0.0535523,
        0.053851,
        0.053829,
        0.053456,
        0.0532858,
        0.0538407,
        0.0538359,
        0.0544729,
        0.0542498,
        0.0540682,
        0.053194,
        0.0538883,
        0.0532249,
        0.0535827,
        0.0571806,
        0.0577427,
        0.0527341,
        0.0524187,
        0.0522609,
        0.0532805,
        0.0520819,
        0.0532165,
        0.0526465,
        0.0525842,
        0.0527638,
        0.0521923,
        0.0525443,
        0.0535802,
        0.0533035,
        0.0524738,
        0.0530543,
        0.0529754,
        0.0533787,
        0.0540994,
        0.0540518,
        0.0547223,
        0.0549016,
        0.0553917,
        0.0554641,
        0.0549196,
        0.0555586,
        0.0557833,
        0.055751,
        0.0563467,
        0.0568812,
        0.0569769,
        0.0567932,
        0.0615486,
        0.0614558,
        0.0579082,
        0.059003,
        0.0582034,
        0.0590892,
        0.0603268,
        0.0681677,
        0.068843,
        0.0643118,
        0.0657183,
        0.0672639,
        0.0698197,
        0.0745749,
        0.0785517,
        0.0836627,
        0.0910676,
        0.103034,
        0.116214,
        0.12991,
        0.138288,
        0.160796,
        0.157092,
        0.124111,
        0.124297,
        0.115646,
        0.110703,
        0.0941169,
        0.0872459,
        0.0800436,
        0.0762009,
        0.0721778,
        0.0688498,
        0.0657314,
        0.0629451,
        0.062262,
        0.0655023,
        0.0651715,
        0.0592956,
        0.0586834,
        0.057688,
        0.0571803,
        0.0567873,
        0.0563552,
        0.0564692,
        0.0558276,
        0.0543516,
        0.0544615,
        0.0550483,
        0.0549402,
        0.0532808,
        0.0541382,
        0.0539881,
        0.0539888,
        0.0537554,
        0.0539631,
        0.0544499,
        0.0538469,
        0.0539329,
        0.0544956,
        0.0543051,
        0.0540977,
        0.0543669,
        0.0540339,
        0.0545203,
        0.0546706,
        0.0549825,
        0.0549802,
        0.0545299,
        0.0557195,
        0.0547951,
        0.0554111,
        0.0549946,
        0.0554546,
        0.0551009,
        0.0558886,
        0.0568918,
        0.0568956,
        0.0556443,
        0.0548341,
        0.0558766,
        0.0553821,
        0.0551483,
        0.0590081,
        0.0593112,
        0.0570502,
        0.0564147,
        0.056518,
        0.0560891,
        0.0559868,
        0.0555502,
        0.0589008,
        0.0594976,
        0.0558572,
        0.0559319,
        0.055166,
        0.0555617,
        0.0551657,
        0.0548194,
        0.0549518,
        0.0552363,
        0.0646569,
        0.0643734,
        0.0555752,
        0.0553312,
        0.0557651,
        0.055021,
        0.054626,
        0.0556276,
        0.055713,
        0.0553874,
        0.0552439,
        0.0554973,
        0.0554833,
        0.0550795,
        0.056753,
        0.058043,
        0.0565759,
        0.0554749,
        0.055662,
        0.0552222,
        0.055156,
        0.0560893,
        0.0559995,
        0.0564394,
        0.0553012,
        0.0555349,
        0.0564528,
        0.0566844,
        0.0566391,
        0.0561077,
        0.0558505,
        0.0561861,
        0.0562578,
        0.0563249,
        0.0621867,
        0.0595026,
        0.0585162,
        0.0599701,
        0.0589792,
        0.0581436,
        0.0574751,
        0.0575775,
        0.0583405,
        0.0579048,
        0.0592091,
        0.0662596,
        0.0649164,
        0.0586467,
        0.0588421,
        0.0577983,
        0.0599303,
        0.0603964,
        0.0602653,
        0.0586957,
        0.0576542,
        0.0575733,
        0.057848,
        0.0588709,
        0.0627118,
        0.0642232,
        0.0601248,
        0.0587707,
        0.0580944,
        0.0584644,
        0.0586019,
        0.0587891,
        0.0593848,
        0.0583711,
        0.0578992,
        0.0585133,
        0.0580626,
        0.0578909,
        0.0581685,
        0.0580293,
        0.0575928,
        0.0568812,
        0.0573043,
        0.0572228,
        0.0575095,
        0.058073,
        0.0579007,
        0.058405,
        0.0582743,
        0.0577737,
        0.0578572,
        0.0579568,
        0.0579179,
        0.0578264,
        0.0585335,
        0.0587268,
        0.0582154,
        0.0585067,
        0.0580839,
        0.0585868,
        0.0581866,
        0.0598101,
        0.0599209,
        0.0597047,
        0.0591688,
        0.060021,
        0.0603974,
        0.0605587,
        0.06112,
        0.0606136,
        0.0617162,
        0.068648,
        0.0657859,
        0.0636013,
        0.0624807,
        0.063688,
        0.0632301,
        0.0636686,
        0.0637294,
        0.0625291,
        0.063623,
        0.0641652,
        0.0631927,
        0.063057,
        0.0628829,
        0.0635672,
        0.0642095,
        0.0661536,
        0.065393,
        0.0656155,
        0.0668876,
        0.0679599,
        0.0682095,
        0.068758,
        0.0802958,
        0.0739757,
        0.0668994,
        0.0665304,
        0.0650989,
        0.0640909,
        0.0638282,
        0.0629451,
        0.0628093,
        0.0631064,
        0.0624381,
        0.0618745,
        0.0620192,
        0.0622074,
        0.0623108,
        0.06185,
        0.0613308,
        0.0607032,
        0.0608268,
        0.0611421,
        0.0605817,
        0.0614749,
        0.0597949,
        0.0602949,
        0.0604649,
        0.060326,
        0.0600148,
        0.0671038,
        0.0661634,
        0.0626817,
        0.061149,
        0.0606558,
        0.0618609,
        0.0615816,
        0.0617548,
        0.0620133,
        0.0617619,
        0.0624059,
        0.0627469,
        0.0623096,
        0.0631428,
        0.0622362,
        0.0635179,
        0.0641491,
        0.0650044,
        0.0650118,
        0.0664473,
        0.0657741,
        0.0657496,
        0.0670705,
        null,
        0.054191,
        0.0557025,
        0.0566701,
        0.0579132,
        0.0584472,
        0.0589549,
        0.0590076,
        0.0580107,
        0.0570332,
        0.0566853,
        0.0570145,
        0.058085,
        0.0593154,
        0.0606992,
        0.0633969,
        0.0666742,
        0.0681634,
        0.0693143,
        0.0701111,
        0.0686565,
        0.065981,
        0.0636093,
        0.0614829,
        0.0585246,
        0.0567952,
        0.0567896,
        0.0560423,
        0.0549901,
        0.0544364,
        0.0539507,
        0.0543347,
        0.054321,
        0.0538758,
        0.0533931,
        0.0525847,
        0.0522499,
        0.0529755,
        0.0533041,
        0.0532705,
        0.0531526,
        0.052961,
        0.0524349,
        0.0527365,
        0.0522103,
        0.0517774,
        0.0516977,
        0.052089,
        0.0519641,
        0.0517465,
        0.0519051,
        0.051033,
        0.0516312,
        0.0516474,
        0.0523803,
        0.0520887,
        0.0522098,
        0.0529881,
        0.0530389,
        0.0525012,
        0.0525102,
        0.0533767,
        0.0536924,
        0.053412,
        0.0534067,
        0.0541045,
        0.0536509,
        0.0541705,
        0.0588225,
        0.05752,
        0.0545621,
        0.0548951,
        0.0550675,
        0.0552663,
        0.0551282,
        0.0557528,
        0.0559598,
        0.0555048,
        0.0551023,
        0.0551796,
        0.055804,
        0.0555987,
        0.0555172,
        0.0567844,
        0.0563895,
        0.0611952,
        0.0597949,
        0.0565212,
        0.0556137,
        0.0564345,
        0.0559608,
        0.0563984,
        0.0559276,
        0.0564755,
        0.0565315,
        0.0562793,
        0.0564811,
        0.055399,
        0.0551965,
        0.0569414,
        0.0571343,
        0.0567358,
        0.0567477,
        0.0568333,
        0.057622,
        0.0570634,
        0.0569972,
        0.0575339,
        0.0578207,
        0.0590697,
        0.0587351,
        0.0589754,
        0.0602235,
        0.0622875,
        0.0639385,
        0.0647497,
        0.0659727,
        0.0675366,
        0.0705227,
        0.0754062,
        0.0790963,
        0.0848179,
        0.0907271,
        0.093971,
        0.095931,
        0.0960715,
        0.0959469,
        0.092887,
        0.0876154,
        0.0821549,
        0.0790499,
        0.0760598,
        0.0729071,
        0.0713116,
        0.0696094,
        0.0686071,
        0.0674913,
        0.0665607,
        0.0663025,
        0.0651624,
        0.0650799,
        0.0656043,
        0.0650534,
        0.063852,
        0.0639825,
        0.06429,
        0.0647303,
        0.0641803,
        0.0645359,
        0.065255,
        0.0666923,
        0.0658853,
        0.0645392,
        0.0654352,
        0.0757291,
        0.0758937,
        0.0644624,
        0.0654471,
        0.0646577,
        0.064814,
        0.0650947,
        0.065742,
        0.0668264,
        0.0669869,
        0.0677887,
        0.0671267,
        0.0671739,
        0.0679665,
        0.0685956,
        0.0694973,
        0.0702583,
        0.0712011,
        0.0719345,
        0.0720669,
        0.0718842,
        0.0733915,
        0.0743904,
        0.0746389,
        0.0751895,
        0.0769623,
        0.0786617,
        0.0784049,
        0.0789094,
        0.0800102,
        0.0833551,
        0.0841382,
        0.0879277,
        0.0882632,
        0.0918978,
        0.0930524,
        0.0932801,
        0.0957903,
        0.0995624,
        0.101036,
        0.103027,
        0.105185,
        0.108771,
        0.111847,
        0.115535,
        0.118084,
        0.120722,
        0.125098,
        0.127819,
        0.135081,
        0.139892,
        0.143593,
        0.154181,
        0.158369,
        0.168186,
        0.179363,
        0.182144,
        0.189175,
        0.205944,
        0.226346,
        0.251698,
        0.251094,
        0.279269,
        0.311646,
        0.376583,
        0.385609,
        0.332055,
        0.292753,
        0.250267,
        0.239815,
        0.232859,
        0.217924,
        0.200309,
        0.183833,
        0.176245,
        0.163711,
        0.157798,
        0.149937,
        0.146432,
        0.136516,
        0.131082,
        0.125746,
        0.124223,
        0.119686,
        0.114265,
        0.110582,
        0.107412,
        0.105423,
        0.101088,
        0.0991355,
        0.0979907,
        0.0940443,
        0.0923848,
        0.0894167,
        0.0887321,
        0.0866334,
        0.085256,
        0.0830206,
        0.0818448,
        0.0810117,
        0.0805367,
        0.0796648,
        0.0766922,
        0.0765301,
        0.0765959,
        0.0751424,
        0.0732958,
        0.0740122,
        0.0796203,
        0.0770466,
        0.0715926,
        0.0711213,
        0.0713229,
        0.0700256,
        0.067961,
        0.0684197,
        0.0681986,
        0.0670673,
        0.06673,
        0.0666087,
        0.0665755,
        0.0669484,
        0.0646977,
        0.0644392,
        0.0654585,
        0.0647722,
        0.0631378,
        0.0629529,
        0.0627279,
        0.0612675,
        0.0614533,
        0.0606529,
        0.0600493,
        0.0608654,
        0.0601141,
        0.0590713,
        0.059036,
        0.058132,
        0.0634256,
        0.0611828,
        0.056522,
        0.0591565,
        0.0580249,
        0.0552233,
        0.0546924,
        0.0544181,
        0.0542202,
        0.0540699,
        0.0542041,
        0.0540754,
        0.0546104,
        0.0540444,
        0.0536516,
        0.0535912,
        0.0535273,
        0.0532173,
        0.052587,
        0.052448,
        0.0563973,
        0.0575129,
        0.0528753,
        0.0519595,
        0.051886,
        0.0521044,
        0.0524904,
        0.0515065,
        0.0522128,
        0.052549,
        0.0512429,
        0.0515186,
        0.0520848,
        0.0528183,
        0.0539661,
        0.0518306,
        0.0520466,
        0.0525333,
        0.0520636,
        0.0519338,
        0.053044,
        0.0532467,
        0.0530248,
        0.0532958,
        0.0533533,
        0.0532174,
        0.0528738,
        0.0522094,
        0.0528374,
        0.0527879,
        0.0522485,
        0.0523622,
        0.0517241,
        0.0514627,
        0.0509298,
        0.0504486,
        0.0505895,
        0.0504429,
        0.0505936,
        0.0503509,
        0.0498606,
        0.0501893,
        0.0495345,
        0.0492417,
        0.0487112,
        0.0494677,
        0.0494874,
        0.0489093,
        0.0490908,
        0.0494383,
        0.0532442,
        0.0505757,
        0.0483325,
        0.0482032,
        0.048399,
        0.048242,
        0.0481479,
        0.0480532,
        0.0480116,
        0.0482799,
        0.0483377,
        0.047795,
        0.0477365,
        0.0472249,
        0.0479641,
        0.0475794,
        0.0478996,
        0.0480888,
        0.0478863,
        0.0486277,
        0.0479422,
        0.0480287,
        0.0481755,
        0.0480963,
        0.0485728,
        0.0481436,
        0.0485819,
        0.0492843,
        0.0488593,
        0.04881,
        0.0485873,
        0.0484509,
        0.0487656,
        0.048912,
        0.0497275,
        0.0488422,
        0.0494226,
        0.0493686,
        0.0495414,
        0.0490756,
        0.0488788,
        0.0489049,
        0.0494379,
        0.0490856,
        0.0486727,
        0.0487845,
        0.0477124,
        0.048525,
        0.0487425,
        0.0487794,
        0.048629,
        0.0481421,
        0.0478218,
        0.0480355,
        0.0478372,
        0.0471222,
        0.04702,
        0.0470531,
        0.0473308,
        0.046555,
        0.0472552,
        0.0473405,
        0.0468282,
        0.0464835,
        0.0462546,
        0.0467401,
        0.0460887,
        0.0463901,
        0.0460515,
        0.0463695,
        0.0467054,
        0.0468006,
        0.0465331,
        0.0467588,
        0.0469165,
        0.0485412,
        0.0488423,
        0.0484917,
        0.0485834,
        0.0479036,
        0.049064,
        0.0481949,
        0.0471351,
        0.0474927,
        0.046974,
        0.0470245,
        0.0469988,
        0.0473918,
        0.0471978,
        0.0472924,
        0.0507795,
        0.0490904,
        0.0483077,
        0.0483446,
        0.0482434,
        0.0481476,
        0.0477612,
        0.0470271,
        0.047321,
        0.0473386,
        0.0476333,
        0.0487323,
        0.0496435,
        0.0481755,
        0.0475998,
        0.0486495,
        0.0486787,
        0.0582669,
        0.059505,
        0.0495406,
        0.0496174,
        0.0493423,
        0.049473,
        0.0496079,
        0.0492445,
        0.0483157,
        0.047745,
        0.0477967,
        0.0470672,
        0.0467842,
        0.0467507,
        0.0464202,
        0.0468018,
        0.046709,
        0.0462403,
        0.0459136,
        0.0457471,
        0.0455568,
        0.0456219,
        0.0455373,
        0.0454144,
        0.045633,
        0.0454092,
        0.0458074,
        0.0453834,
        0.0449856,
        0.0450707,
        0.0451134,
        0.0455299,
        0.0456877,
        0.0454646,
        0.0455902,
        0.0453154,
        0.0457488,
        0.0463294,
        0.0461117,
        0.0463931,
        0.0464808,
        0.0463804,
        0.0471255,
        0.0473654,
        0.0472604,
        0.0472895,
        0.0475563,
        0.0480798,
        0.0489401,
        0.0483378,
        0.0487474,
        0.0491962,
        0.0485944,
        0.0489009,
        0.0492222,
        0.0502563,
        0.0500014,
        0.0497662,
        0.0496971,
        0.0496731,
        0.0492499,
        0.0490878,
        0.0497322,
        0.0499702,
        0.0501304,
        0.0495971,
        0.0496528,
        0.050314,
        0.050268,
        0.050798,
        0.0573541,
        0.0570285,
        0.0564217,
        0.0560365,
        0.0495841,
        0.048827,
        0.0486116,
        0.0490049,
        0.0487777,
        0.0487024,
        0.0484973,
        0.0483703,
        0.0480632,
        0.048696,
        0.0480806,
        0.047986,
        0.0476385,
        0.0475331,
        0.0476554,
        0.0479329,
        0.0517027,
        0.0536961,
        0.0490191,
        0.0490044,
        0.0483259,
        0.0483552,
        0.0487185,
        0.0480657,
        0.0482635,
        0.0500321,
        0.0497833,
        0.049125,
        0.0489405,
        0.0496996,
        0.0494154,
        0.0499135,
        0.0504928,
        0.0499834,
        0.0504847,
        0.0506873,
        0.051718,
        0.051512,
        0.0515775,
        0.0516495,
        0.0519493,
        0.0522665,
        0.0595532,
        0.0598427,
        0.0526643,
        0.0563427,
        0.0546662,
        0.0530561,
        0.0527331,
        0.0522815,
        0.0524089,
        0.0517352,
        0.051213,
        0.051352,
        0.0513437,
        0.0512144,
        0.0508273,
        0.0508624,
        0.0510926,
        0.0506265,
        0.0527154,
        0.0514436,
        0.0498203,
        0.050346,
        0.0503531,
        0.0505378,
        0.0501536,
        0.0501277,
        0.0503077,
        0.0507089,
        0.0511396,
        0.0501153,
        0.050732,
        0.0505347,
        0.0504714,
        0.0500503,
        0.0502557,
        0.0500399,
        0.0500595,
        0.0500385,
        0.0511474,
        0.051789,
        0.0535688,
        0.0516027,
        0.0511705,
        0.0513848,
        0.0505129,
        0.0507494,
        0.0534207,
        0.0529991,
        0.0504044,
        0.0510172,
        0.0511963,
        0.0508057,
        0.0509719,
        0.0506856,
        0.0514494,
        0.051183,
        0.052995,
        0.0525845,
        0.0513911,
        0.051567,
        0.0518274,
        0.0519816,
        0.0527415,
        0.0531232,
        0.0531394,
        0.0528452,
        0.0528442,
        0.0529237,
        0.0534012,
        0.0534978,
        0.0537581,
        0.0536037,
        0.0540466,
        0.0542314,
        0.0539583,
        0.0532057,
        0.0527874,
        0.053211,
        0.0536197,
        0.0534952,
        0.0536011,
        0.05438,
        0.0534368,
        0.0537346,
        0.0554104,
        0.0555593,
        0.0542584,
        0.0543927,
        0.0538084,
        0.0539573,
        0.0537399,
        0.0545894,
        0.0534366,
        0.0526406,
        0.0531607,
        0.0534462,
        0.0533942,
        0.0540015,
        0.0531973,
        0.0533991,
        0.0533594,
        0.0533963,
        0.0536086,
        0.0542687,
        0.0550417,
        0.0552195,
        0.0553775,
        0.0543534,
        0.0552174,
        0.0570847,
        0.0558508,
        0.0551696,
        0.0557385,
        0.0564581,
        0.0559116,
        0.0562345,
        0.0561734,
        0.0569526,
        0.0576701,
        0.0573494,
        0.0573939,
        0.0585874,
        0.0588481,
        0.0588398,
        0.0590979,
        0.0596612,
        0.0600386,
        0.0597009,
        0.0594599,
        0.0586102,
        0.059553,
        0.0595083,
        0.0599458,
        0.0603555,
        0.0599518,
        0.0601971,
        0.0606233,
        0.0609027,
        0.0598281,
        0.0601528,
        0.061555,
        0.0610223,
        0.0608953,
        0.0619967,
        0.0628035,
        0.0609175,
        0.0608326,
        0.0669237,
        0.0652293,
        0.0620414,
        0.0614969,
        0.0614338,
        0.0619438,
        0.0618183,
        0.061789,
        0.0616136,
        0.0606077,
        0.062447,
        0.0630873,
        0.0623232,
        0.0624849,
        0.0623321,
        0.0622726,
        0.0620647,
        0.0626855,
        0.0638074,
        0.063535,
        0.0645084,
        0.06442,
        0.0640605,
        0.0644547,
        0.0642378,
        0.064544,
        0.065392,
        0.0660756,
        0.0680253,
        0.0703292,
        0.0672254,
        0.0671736,
        0.0680953,
        0.068521,
        0.0707366,
        0.0707624,
        0.0687333,
        0.0707791,
        0.0734751,
        0.0732677,
        0.0732144,
        0.0726786,
        0.0724258,
        0.0728546,
        0.0729343,
        0.0794477,
        0.0798986,
        0.0754022,
        0.0760056,
        0.0772889,
        0.0778031,
        0.0776239,
        0.0782212,
        0.0791197,
        0.0811187,
        0.0811357,
        0.0793207,
        0.0786534,
        0.0790397,
        0.0804741,
        0.0822806,
        0.0820905,
        0.0824594,
        0.08329,
        0.0849008,
        0.0850262,
        0.0853339,
        0.0857421,
        0.0870493,
        0.087016,
        0.0878487,
        0.0944354,
        0.0935462,
        0.0917534,
        0.0975938,
        0.0988816,
        0.096371,
        0.0928943,
        0.0934506,
        0.0943462,
        0.0979561,
        0.0968275,
        0.116664,
        0.116058,
        0.103836,
        0.106877,
        0.107407,
        0.111195,
        0.115575,
        0.114939,
        0.114628,
        0.116196,
        0.122811,
        0.125581,
        0.133675,
        0.137774,
        0.138955,
        0.145391,
        0.146463,
        0.154644,
        0.161875,
        0.166492,
        0.174129,
        0.192721,
        0.207457,
        0.205534,
        0.219858,
        0.242462,
        0.245455,
        0.344779,
        0.30857,
        0.34611,
        0.425712,
        0.372736,
        0.392692,
        0.372986,
        0.392804,
        0.385029,
        null,
        0.300966,
        0.30316,
        0.290489,
        0.283458,
        0.288739,
        0.249276,
        0.256525,
        0.249345,
        0.25629,
        0.234857,
        0.231207,
        0.226733,
        0.219326,
        0.202083,
        0.19881,
        0.206047,
        0.201811,
        0.193225,
        0.191883,
        0.188612,
        0.180044,
        0.182287,
        0.179189,
        0.172412,
        0.170067,
        0.164044,
        0.157881,
        0.161923,
        0.156332,
        0.152493,
        0.150523,
        0.146017,
        0.1498,
        0.143232,
        0.144259,
        0.142619,
        0.141951,
        0.139204,
        0.136998,
        0.131994,
        0.133745,
        0.13529,
        0.132736,
        0.129743,
        0.1311,
        0.132254,
        0.125396,
        0.124384,
        0.121565,
        0.123228,
        0.122802,
        0.121635,
        0.125013,
        0.121452,
        0.117113,
        0.117141,
        0.116946,
        0.117525,
        0.116024,
        0.1152,
        0.117438,
        0.115958,
        0.112705,
        0.114295,
        0.113503,
        0.111083,
        0.111238,
        0.10957,
        0.109237,
        0.107486,
        0.106172,
        0.104542,
        0.106489,
        0.10749,
        0.105181,
        0.106623,
        0.10546,
        0.10333,
        0.100774,
        0.101074,
        0.100229,
        0.10044,
        0.098514,
        0.0978324,
        0.0995723,
        0.0964121,
        0.0971522,
        0.0977953,
        0.0968494,
        0.0948491,
        0.105366,
        0.106353,
        0.102112,
        0.0983359,
        0.0917921,
        0.0912255,
        0.0891748,
        0.0896138,
        0.0901793,
        0.089631,
        0.0881558,
        0.0888197,
        0.0912692,
        0.0920883,
        0.0890685,
        0.0888342,
        0.0856122,
        0.0872848,
        0.0884171,
        0.0871738,
        0.0860998,
        0.0861561,
        0.087162,
        0.0875044,
        0.0874362,
        0.0871024,
        0.0871017,
        0.0855043,
        0.0860844,
        0.0864521,
        0.087509,
        0.0871838,
        0.086271,
        0.0866549,
        0.0857128,
        0.0865242,
        0.087312,
        0.0863652,
        0.0867328,
        0.0855742,
        0.0853137,
        0.0849291,
        0.0862068,
        0.0868818,
        0.0864067,
        0.0848215,
        0.0853986,
        0.0858926,
        0.0858222,
        0.0847704,
        0.0872276,
        0.0872385,
        0.0858221,
        0.0845955,
        0.0836293,
        0.0835141,
        0.0830489,
        0.0828524,
        0.0824907,
        0.0832827,
        0.0843973,
        0.0829896,
        0.0815616,
        0.0829289,
        0.0834795,
        0.0817491,
        0.0824263,
        0.0832211,
        0.0824212,
        0.0828928,
        0.0835826,
        0.0835722,
        0.0843344,
        0.0831074,
        0.1006,
        0.102603,
        0.0893494,
        0.0875443,
        0.0876282,
        0.0858385,
        0.0847483,
        0.0843563,
        0.0828487,
        0.0837637,
        0.0830526,
        0.0823153,
        0.0835743,
        0.0829543,
        0.0841065,
        0.0826118,
        0.0820526,
        0.0814453,
        0.0825459,
        0.0808017,
        0.0969078,
        0.0917981,
        0.091581,
        0.0884349,
        0.0815485,
        0.0833267,
        0.0826957,
        0.0822067,
        0.0825995,
        0.0844032,
        0.0830922,
        0.080826,
        0.0817307,
        0.0828256,
        0.0835347,
        0.0848436,
        0.0849679,
        0.0863701,
        0.085181,
        0.0815195,
        0.0831888,
        0.0851495,
        0.0840244,
        0.0840871,
        0.0843566,
        0.0842881,
        0.0836616,
        0.0838598,
        0.0834757,
        0.0823193,
        0.0831282,
        0.083394,
        0.0847692,
        0.0841607,
        0.0852822,
        0.0867284,
        0.0908239,
        0.0928146,
        0.0866535,
        0.0842002,
        0.0865695,
        0.0855967,
        0.085476,
        0.0912301,
        0.0901088,
        0.0939721,
        0.0935449,
        0.0864438,
        0.0857138,
        0.0872022,
        0.0866771,
        0.0869107,
        0.0881331,
        0.0898818,
        0.0916446,
        0.0902104,
        0.0927293,
        0.0922971,
        0.0927744,
        0.0914876,
        0.091808,
        0.0947799,
        0.0961359,
        0.0947545,
        0.0953563,
        0.0960901,
        0.0959521,
        0.0963942,
        0.101415,
        0.100859,
        0.100191,
        0.10144,
        0.102316,
        0.101515,
        0.103076,
        0.105892,
        0.108353,
        0.10902,
        0.108742,
        0.112933,
        0.112183,
        0.110835,
        0.112727,
        0.115198,
        0.115486,
        0.115358,
        0.117853,
        0.12126,
        0.122503,
        0.12217,
        0.123974,
        0.125372,
        0.128621,
        0.133101,
        0.131076,
        0.133062,
        0.133034,
        0.132562,
        0.141784,
        0.146698,
        0.138553,
        0.152611,
        0.156302,
        0.145916,
        0.149303,
        0.150734,
        0.158097,
        0.157448,
        0.162883,
        0.166403,
        0.176129,
        0.172418,
        0.172093,
        0.177194,
        0.178774,
        0.190204,
        0.18895,
        0.200371,
        0.202953,
        0.209563,
        0.221129,
        0.233027,
        0.234282,
        0.240094,
        0.248071,
        0.259824,
        0.27072,
        0.28147,
        0.319048,
        0.32489,
        0.369568,
        0.366346,
        null,
        0.293335,
        0.282743,
        0.280376,
        0.277213,
        0.248752,
        0.229056,
        0.22782,
        0.218375,
        0.219446,
        0.215352,
        0.208827,
        0.202957,
        0.200015,
        0.184132,
        0.181704,
        0.177999,
        0.180636,
        0.175291,
        0.168066,
        0.161559,
        0.164496,
        0.157645,
        0.156555,
        0.150449,
        0.145839,
        0.145831,
        0.152199,
        0.154645,
        0.141729,
        0.138141,
        0.138301,
        0.137046,
        0.131647,
        0.130641,
        0.129598,
        0.156883,
        0.156611,
        0.129199,
        0.125483,
        0.12643,
        0.124646,
        0.123348,
        0.124126,
        0.148507,
        0.145736,
        0.119837,
        0.120123,
        0.119249,
        0.119425,
        0.114693,
        0.117097,
        0.114469,
        0.118479,
        0.115254,
        0.114042,
        0.115318,
        0.114993,
        0.115309,
        0.121859,
        0.120035,
        0.113543,
        0.124507,
        0.123346,
        0.12068,
        0.121316,
        0.119578,
        0.117021,
        0.118633,
        0.132126,
        0.137486,
        0.128797,
        0.131647,
        0.133949,
        0.159439,
        0.169064,
        0.153453,
        0.16646,
        0.177715,
        0.196754,
        0.213728,
        0.230972,
        0.226675,
        0.22151,
        0.218555,
        0.201403,
        0.185632,
        0.17224,
        0.157046,
        0.142013,
        0.133832,
        0.129964,
        0.12715,
        0.130357,
        0.11698,
        0.109803,
        0.109984,
        0.108055,
        0.103106,
        0.101075,
        0.0990883,
        0.0995767,
        0.101936,
        0.100631,
        0.0987774,
        0.100594,
        0.0975747,
        0.100287,
        0.0977643,
        0.0973572,
        0.0948112,
        0.0923586,
        0.0912686,
        0.0909848,
        0.0873021,
        0.0879372,
        0.0879403,
        0.0874186,
        0.084889,
        0.0841087,
        0.0840418,
        0.0861537,
        0.085841,
        0.0850512,
        0.0836466,
        0.0853554,
        0.0838072,
        0.0835932,
        0.0830526,
        0.081635,
        0.0825426,
        0.0818468,
        0.0809299,
        0.0813586,
        0.0866433,
        0.0875242,
        0.0805918,
        0.0815356,
        0.0809339,
        0.0816287,
        0.0806986,
        0.08023,
        0.0808747,
        0.0850729,
        0.0836427,
        0.0784943,
        0.0771385,
        0.0901281,
        0.0897288,
        0.0768937,
        0.0764195,
        0.0776765,
        0.076614,
        0.0748879,
        0.0737827,
        0.0725774,
        0.0723249,
        0.0723677,
        0.071315,
        0.0720955,
        0.0734032,
        0.0716768,
        0.0707263,
        0.0711782,
        0.0723592,
        0.0725494,
        0.0733696,
        0.0730337,
        0.0731527,
        0.0759343,
        0.0762519,
        0.0814811,
        0.0838327,
        0.0786335,
        0.0774789,
        0.0750395,
        0.0745468,
        0.0739125,
        0.0719787,
        0.0715314,
        0.0706,
        0.0710196,
        0.0712961,
        0.0706605,
        0.070311,
        0.0712251,
        0.0725369,
        0.0716047,
        0.0726949,
        0.0724517,
        0.0734875,
        0.0715895,
        0.0741808,
        0.0731217,
        0.0730115,
        0.0724255,
        0.0737875,
        0.0745966,
        0.0739768,
        0.0741785,
        0.0746356,
        0.0741692,
        0.074129,
        0.0746242,
        0.0728079,
        0.0725047,
        0.0719818,
        0.0717433,
        0.0725965,
        0.0721277,
        0.0741492,
        0.0728807,
        0.0705889,
        0.0700221,
        0.0696181,
        0.0694008,
        0.0699242,
        0.0689088,
        0.0674129,
        0.0673541,
        0.0673576,
        0.0674644,
        0.0670521,
        0.0656581,
        0.0666424,
        0.0664104,
        0.0664895,
        0.0655504,
        0.0658465,
        0.0660454,
        0.0669999,
        0.0663505,
        0.0664178,
        0.0669269,
        0.0671548,
        0.0667704,
        0.0665402,
        0.0663859,
        0.0679403,
        0.0689893,
        0.0680923,
        0.0682376,
        0.069073,
        0.0688981,
        0.0692044,
        0.0689687,
        0.0715631,
        0.0706387,
        0.0713832,
        0.0732793,
        0.073712,
        0.0763639,
        0.0785944,
        0.0822125,
        0.0893231,
        0.094847,
        0.102282,
        0.108439,
        0.109597,
        0.110207,
        0.104446,
        0.0966229,
        0.0987974,
        0.0883109,
        0.0835637,
        0.077757,
        0.0771204,
        0.0752038,
        0.0729244,
        0.0732386,
        0.0711384,
        0.0713052,
        0.0699904,
        0.0710526,
        0.0699953,
        0.0688108,
        0.0812117,
        0.0803583,
        0.0697152,
        0.0685174,
        0.0688315,
        0.068194,
        0.0672029,
        0.0683007,
        0.0694949,
        0.0681628,
        0.0678316,
        0.069416,
        0.0674642,
        0.0672262,
        0.0665808,
        0.0670175,
        0.0660768,
        0.0666407,
        0.0662659,
        0.0669451,
        0.0676493,
        0.0667609,
        0.0665509,
        0.0662746,
        0.0666753,
        0.0661027,
        0.0651965,
        0.0651108,
        0.0675168,
        0.0749571,
        0.0695845,
        0.0658784,
        0.0662197,
        0.0667302,
        0.0664335,
        0.0663308,
        0.0670795,
        0.0664699,
        0.0657757,
        0.0662912,
        0.066546,
        0.0677729,
        0.0674341,
        0.0669201,
        0.0675291,
        0.068162,
        0.0669736,
        0.0681416,
        0.0678857,
        0.0674224,
        0.0682771,
        0.0686446,
        0.0685266,
        0.0691196,
        0.0685111,
        0.0686807,
        0.0698178,
        0.068963,
        0.0688473,
        0.0697789,
        0.068746,
        0.0684208,
        0.0678652,
        0.0691762,
        0.0692604,
        0.0683412,
        0.0698697,
        0.0686231,
        0.0696821,
        0.0694956,
        0.0700583,
        0.0700492,
        0.0694458,
        0.0695828,
        0.070337,
        0.0690429,
        0.0683963,
        0.0687338,
        0.0697086,
        0.0683691,
        0.0686952,
        0.0686564,
        0.069195,
        0.0682446,
        0.0679088,
        0.067563,
        0.0672252,
        0.0670252,
        0.0669997,
        0.0676588,
        0.0676028,
        0.0663493,
        0.065879,
        0.0664939,
        0.0675001,
        0.0663705,
        0.0662643,
        0.0658399,
        0.0672226,
        0.0694033,
        0.0751442,
        0.0760507,
        0.0678222,
        0.0677173,
        0.0670907,
        0.0672135,
        0.0683193,
        0.0676834,
        0.0675207,
        0.0685619,
        0.0686893,
        0.0682906,
        0.0685773,
        0.0684182,
        0.0694785,
        0.0677701,
        0.0693009,
        0.0695227,
        0.0709368,
        0.068914,
        0.0708719,
        0.0697205,
        0.070856,
        0.0693912,
        0.0709684,
        0.0710232,
        0.0712789,
        0.0724755,
        0.0717107,
        0.0704863,
        0.0714621,
        0.0708101,
        0.0726174,
        0.0716207,
        0.0721091,
        0.0728243,
        0.0718896,
        0.0721621,
        0.0730747,
        0.0729611,
        0.0733549,
        0.0730142,
        0.0740282,
        0.072745,
        0.07184,
        0.0732124,
        0.0732895,
        0.0733252,
        0.0745788,
        0.0738982,
        0.0724198,
        0.0738533,
        0.0733806,
        0.0746216,
        0.0757411,
        0.0752405,
        0.0744929,
        0.0763523,
        0.0766356,
        0.076469,
        0.0767333,
        0.0781379,
        0.0794752,
        0.0800813,
        0.0891911,
        0.0883192,
        0.0863878,
        0.0879951,
        0.0903471,
        0.0934405,
        0.0996018,
        0.105887,
        0.108237,
        0.106493,
        0.107797,
        0.135066,
        0.132362,
        0.111757,
        0.115526,
        0.112885,
        0.113689,
        0.110815,
        0.107591,
        0.107927,
        0.110527,
        0.108034,
        null,
        0.0575108,
        0.057797,
        0.0594129,
        0.0581094,
        0.0577856,
        0.0570406,
        0.0579506,
        0.0584533,
        0.0593504,
        0.0596346,
        0.0601042,
        0.0595262,
        0.058377,
        0.0583578,
        0.0634564,
        0.063259,
        0.0571764,
        0.0564485,
        0.0559226,
        0.0559684,
        0.0564806,
        0.0561478,
        0.0553938,
        0.0556774,
        0.0671438,
        0.0660981,
        0.0551922,
        0.0557008,
        0.0554453,
        0.0558397,
        0.0564002,
        0.0560062,
        0.0561662,
        0.0586033,
        0.0614916,
        0.0662672,
        0.0674973,
        0.0683881,
        0.0731962,
        0.0783397,
        0.0823508,
        0.0816082,
        0.0802905,
        0.0762023,
        0.0719053,
        0.0669463,
        0.0640005,
        0.0614281,
        0.0602492,
        0.059107,
        0.0572921,
        0.0566547,
        0.0569836,
        0.0563738,
        0.0634344,
        0.0639337,
        0.0568047,
        0.0561947,
        0.0559324,
        0.0559903,
        0.0565196,
        0.0563107,
        0.0561847,
        0.056441,
        0.0555206,
        0.0560684,
        0.0563464,
        0.0560659,
        0.0559831,
        0.056838,
        0.0562734,
        0.0567251,
        0.0576655,
        0.0581364,
        0.0574331,
        0.057804,
        0.0576868,
        0.0577391,
        0.0574863,
        0.0571271,
        0.0628018,
        0.0626639,
        0.0565835,
        0.0569496,
        0.0562524,
        0.0560734,
        0.0563751,
        0.0569878,
        0.0577421,
        0.0578992,
        0.0586732,
        0.0604314,
        0.0647999,
        0.0634921,
        0.0633509,
        0.0656468,
        0.0680039,
        0.0709723,
        0.0760257,
        0.0832409,
        0.0930759,
        0.108558,
        0.12737,
        0.16432,
        0.209336,
        0.257727,
        0.280431,
        0.27936,
        0.246363,
        0.193461,
        0.151429,
        0.123693,
        0.102719,
        0.0923784,
        0.0837755,
        0.0784865,
        0.0757346,
        0.0697263,
        0.0670153,
        0.06479,
        0.0626049,
        0.0620136,
        0.0602872,
        0.058959,
        0.0580715,
        0.0577436,
        0.0575906,
        0.0565684,
        0.0565314,
        0.0557132,
        0.0554431,
        0.0550337,
        0.0544394,
        0.0543826,
        0.0542832,
        0.0542617,
        0.0543202,
        0.0537805,
        0.0528756,
        0.0528879,
        0.0523713,
        0.0524485,
        0.0523566,
        0.0524298,
        0.0516665,
        0.0515447,
        0.0511524,
        0.0513929,
        0.0505147,
        0.0500962,
        0.0497621,
        0.0505931,
        0.0502587,
        0.049684,
        0.0504132,
        0.0505949,
        0.0495747,
        0.0496456,
        0.0498739,
        0.0500133,
        0.0507471,
        0.0555294,
        0.0562459,
        0.0505598,
        0.0503836,
        0.0506699,
        0.0504549,
        0.0501097,
        0.0504343,
        0.0508003,
        0.0503644,
        0.0505003,
        0.0510788,
        0.0508533,
        0.051372,
        0.0510628,
        0.0515274,
        0.0514511,
        0.0517451,
        0.0520178,
        0.0518986,
        0.0518923,
        0.0522128,
        0.0527484,
        0.0524871,
        0.0534487,
        0.0536745,
        0.0526644,
        0.0526891,
        0.0528768,
        0.0524571,
        0.0519039,
        0.0522456,
        0.0520424,
        0.0517642,
        0.0511563,
        0.0510704,
        0.0507069,
        0.0505047,
        0.0550321,
        0.0533063,
        0.0503082,
        0.0499764,
        0.0505925,
        0.050176,
        0.0504795,
        0.051456,
        0.0508918,
        0.0499024,
        0.0494642,
        0.049287,
        0.0493031,
        0.0496152,
        0.0490067,
        0.0495632,
        0.0491855,
        0.0492826,
        0.0490789,
        0.0495123,
        0.0492036,
        0.0488269,
        0.0484068,
        0.0501997,
        0.050855,
        0.0488184,
        0.0483855,
        0.0485243,
        0.0488045,
        0.048701,
        0.0491928,
        0.0559136,
        0.056292,
        0.0496614,
        0.0492294,
        0.0501697,
        0.0499845,
        0.0497347,
        0.0498879,
        0.0498076,
        0.0490178,
        0.049985,
        0.049815,
        0.0494058,
        0.0503192,
        0.0500954,
        0.0502656,
        0.0504567,
        0.0499043,
        0.0500979,
        0.0507426,
        0.0508965,
        0.0505838,
        0.0511668,
        0.0510583,
        0.0505239,
        0.0497647,
        0.0494119,
        0.0500643,
        0.0498531,
        0.0496532,
        0.0498989,
        0.0500145,
        0.0493527,
        0.0493659,
        0.0491065,
        0.0487635,
        0.0490392,
        0.048106,
        0.0480727,
        0.0491708,
        0.0482823,
        0.0479942,
        0.0479797,
        0.047826,
        0.0478135,
        0.0476809,
        0.0478966,
        0.0480262,
        0.0477185,
        0.0475519,
        0.0478523,
        0.0476601,
        0.0486089,
        0.0483598,
        0.0479815,
        0.0475387,
        0.0478621,
        0.0490303,
        0.0490102,
        0.0485341,
        0.0486691,
        0.0490081,
        0.0494591,
        0.0500454,
        0.0501793,
        0.0508757,
        0.0516168,
        0.0515582,
        0.0514807,
        0.0515507,
        0.0512333,
        0.0509448,
        0.0512141,
        0.050863,
        0.0503457,
        0.0502308,
        0.049809,
        0.0498625,
        0.0503553,
        0.0501755,
        0.0499587,
        0.0496637,
        0.054345,
        0.0554014,
        0.0495873,
        0.048925,
        0.0487296,
        0.048737,
        0.0485437,
        0.0488664,
        0.0487426,
        0.0488477,
        0.0476806,
        0.048095,
        0.0479732,
        0.0483932,
        0.0471098,
        0.0475725,
        0.0477726,
        0.0475866,
        0.0479401,
        0.0474863,
        0.0488909,
        0.0488205,
        0.0469084,
        0.0475667,
        0.0471122,
        0.0468815,
        0.0470684,
        0.0470867,
        0.0466523,
        0.0461842,
        0.0467166,
        0.0467839,
        0.0467585,
        0.0462255,
        0.0469569,
        0.0469123,
        0.0474566,
        0.0473953,
        0.0473246,
        0.0468146,
        0.0473751,
        0.046722,
        0.0473616,
        0.0476477,
        0.0473667,
        0.0475682,
        0.0481712,
        0.0480007,
        0.04856,
        0.0499104,
        0.0491717,
        0.0494589,
        0.049322,
        0.0484448,
        0.0487536,
        0.0490754,
        0.049147,
        0.0552867,
        0.0639475,
        0.0569156,
        0.0502851,
        0.0504818,
        0.0501824,
        0.0503037,
        0.0502591,
        0.0505304,
        0.0499256,
        0.0495445,
        0.0496035,
        0.0486286,
        0.0485925,
        0.0480144,
        0.0481316,
        0.0476471,
        0.0478771,
        0.0473832,
        0.0472046,
        0.047225,
        0.047136,
        0.0463978,
        0.0464257,
        0.0466587,
        0.046346,
        0.0461105,
        0.0461843,
        0.0465583,
        0.046522,
        0.0507618,
        0.0505126,
        0.0459239,
        0.0460022,
        0.0460781,
        0.0459725,
        0.0456256,
        0.0461329,
        0.0459201,
        0.0460389,
        0.0460788,
        0.0465009,
        0.0462803,
        0.0462582,
        0.0464445,
        0.0462838,
        0.0465398,
        0.046826,
        0.0468151,
        0.0467849,
        0.0471173,
        0.0468501,
        0.0476527,
        0.047244,
        0.0547977,
        0.054562,
        0.0475273,
        0.0479526,
        0.0480201,
        0.0473746,
        0.0477868,
        0.0481218,
        0.0476137,
        0.0491235,
        0.0487388,
        0.04873,
        0.0482448,
        0.048481,
        0.0478572,
        0.0484632,
        0.0488494,
        0.0489244,
        0.0486024,
        0.0481368,
        0.0486703,
        0.0479462,
        0.0484709,
        0.0489275,
        0.0486183,
        0.0488119,
        0.0490298,
        0.0489201,
        0.0489007,
        0.0492159,
        0.0492451,
        0.0500104,
        0.0507505,
        0.0517824,
        0.0518714,
        0.0528766,
        0.0535326,
        0.0551657,
        0.0575799,
        0.0597479,
        0.0628353,
        0.0663422,
        0.0703996,
        0.0740308,
        0.0758763,
        0.0760462,
        0.0840211,
        0.0824432,
        0.0700145,
        0.0656958,
        0.062013,
        0.0595831,
        0.0577843,
        0.0557668,
        0.0538675,
        0.053687,
        0.0525515,
        0.0510483,
        0.0505428,
        0.0504867,
        0.0495473,
        0.0493783,
        0.0505748,
        0.0497638,
        0.0499268,
        0.0495144,
        0.0486061,
        0.0484234,
        0.0490834,
        0.049172,
        0.0485698,
        0.0487143,
        0.0490289,
        0.0486577,
        0.0485777,
        0.0484067,
        0.0487743,
        0.0481086,
        0.0476689,
        0.0482507,
        0.0478916,
        0.0478496,
        0.047967,
        0.0477141,
        0.0478376,
        0.0470554,
        0.0469009,
        0.0471592,
        0.0474077,
        0.0467342,
        0.0468037,
        0.0469539,
        0.0470448,
        0.0468128,
        0.0464412,
        0.0467239,
        0.0465685,
        0.0462914,
        0.0466911,
        0.0471,
        0.0467587,
        0.0462532,
        0.0464324,
        0.0463668,
        0.04647,
        0.0463419,
        0.0459582,
        0.0459063,
        0.0467073,
        0.0464293,
        0.0459903,
        0.0463365,
        0.0464555,
        0.0467309,
        0.0469375,
        0.0469996,
        0.0463986,
        0.0472006,
        0.0473623,
        0.0472659,
        0.0477571,
        0.048539,
        0.0479908,
        0.0479718,
        0.0479741,
        0.0486073,
        0.0488626,
        0.0492016,
        0.0495226,
        0.0496902,
        0.0498586,
        0.0504275,
        0.0500035,
        0.050542,
        0.0507221,
        0.0519028,
        0.0528093,
        0.0549291,
        0.0546779,
        0.0525754,
        0.0525745,
        0.0518317,
        0.0539064,
        0.0544202,
        0.0552406,
        0.0552093,
        0.0552434,
        0.0555157,
        0.0546862,
        0.0544444,
        0.0546695,
        0.0534196,
        0.0535368,
        0.0539668,
        0.0542404,
        0.0539408,
        0.0536142,
        0.0544802,
        0.0537286,
        0.0545411,
        0.0552276,
        0.0544232,
        0.0548586,
        0.0588287,
        0.0591779,
        0.0561734,
        0.0563455,
        0.0558476,
        0.0570493,
        0.0570934,
        0.0586193,
        0.0600517,
        0.0591797,
        0.0605212,
        0.0606133,
        0.0622092,
        0.0635072,
        0.0638112,
        0.0649341,
        0.0668972,
        0.0676036,
        0.069097,
        0.0711643,
        0.073408,
        0.0752118,
        0.0758809,
        0.0804713,
        0.0834054,
        0.0863665,
        0.0886908,
        0.0907682,
        0.0980878,
        0.103021,
        0.107338,
        0.112378,
        0.120559,
        0.131209,
        0.1443,
        0.151712,
        0.178875,
        0.195164,
        0.241181,
        0.282475,
        0.297684,
        0.26112,
        0.223473,
        0.196683,
        0.182178,
        0.173132,
        0.144296,
        0.131346,
        0.122133,
        0.116309,
        0.109064,
        0.105978,
        0.100538,
        0.09384,
        0.0893646,
        0.0852516,
        0.0836882,
        0.0792409,
        0.0780872,
        0.0773009,
        0.0763648,
        0.0735184,
        0.0704847,
        0.0706275,
        0.0687053,
        0.0672964,
        0.0661694,
        0.0654447,
        0.0652316,
        0.0637353,
        0.063408,
        0.0629432,
        0.0624142,
        0.0626784,
        0.0611996,
        0.0607739,
        0.0667462,
        0.067218,
        0.0597346,
        0.0595992,
        0.0597181,
        0.0584357,
        0.0584123,
        0.0576517,
        0.057102,
        0.0563122,
        0.0558016,
        0.0545286,
        0.0543404,
        0.0544401,
        0.0543228,
        0.0539178,
        0.0525523,
        0.0538837,
        0.0529629,
        0.0519639,
        0.0520662,
        0.0519106,
        0.0513587,
        0.0513435,
        0.0514848,
        0.0512496,
        0.0496354,
        0.0497847,
        0.0555732,
        0.0570513,
        0.0499374,
        0.0495337,
        0.0492243,
        0.0490204,
        0.0487759,
        0.0488627,
        0.0490702,
        0.0492983,
        0.0486772,
        0.0488423,
        0.0500351,
        0.0495381,
        0.0495865,
        0.0494698,
        0.0501203,
        0.049541,
        0.0494268,
        0.0489241,
        0.0495448,
        0.0498267,
        0.0491358,
        0.0496972,
        0.049646,
        0.0510554,
        0.0525189,
        0.0542891,
        0.055862,
        0.0562084,
        0.0554641,
        0.0528224,
        0.0519979,
        0.050643,
        0.0489916,
        0.0481838,
        0.0484531,
        0.0479209,
        0.0485331,
        0.0481599,
        0.0488639,
        0.0491634,
        0.0483122,
        0.0483646,
        0.0488269,
        0.0483058,
        0.048558,
        0.0490423,
        0.048836,
        0.0491698,
        0.0500328,
        0.0498558,
        0.0539677,
        0.0525962,
        0.0506062,
        0.0504184,
        0.0505963,
        0.0496218,
        0.048528,
        0.047885,
        0.0480212,
        0.047079,
        0.0468043,
        0.0465893,
        0.0460697,
        0.0456355,
        0.0452863,
        0.0456059,
        0.0455264,
        0.045474,
        0.0448035,
        0.045024,
        0.0450544,
        0.0450705,
        0.0446535,
        0.0449185,
        0.0449519,
        0.0449822,
        0.0447274,
        0.0450245,
        0.0451997,
        0.0451674,
        0.0447889,
        0.044897,
        0.0458311,
        0.0452966,
        0.0540211,
        0.0548307,
        0.0455847,
        0.0457906,
        0.0455207,
        0.0454874,
        0.0456629,
        0.0452227,
        0.0462861,
        0.0487183,
        0.0486928,
        0.0469919,
        0.0468745,
        0.0468044,
        0.046758,
        0.0470559,
        0.0473208,
        0.0471111,
        0.0464595,
        0.0466969,
        0.0464837,
        0.046558,
        0.0469018,
        0.0467628,
        0.0473339,
        0.0475375,
        0.0471256,
        0.0465152,
        0.0472039,
        0.0474909,
        0.0477895,
        0.0492251,
        0.0492429,
        0.0487543,
        0.0478927,
        0.0469865,
        0.0468025,
        0.0469226,
        0.0470767,
        0.0461519,
        0.0454995,
        0.0453079,
        0.045763,
        0.04571,
        0.0457695,
        0.0454351,
        0.0452236,
        0.0451302,
        0.046377,
        0.0463399,
        0.045108,
        0.0452201,
        0.0453928,
        0.0449212,
        0.0477991,
        0.0482477,
        0.0457836,
        0.0457216,
        0.0452403,
        0.0454111,
        0.0474516,
        0.0461885,
        0.0462115,
        0.0461423,
        0.0463252,
        0.0462462,
        0.0460632,
        0.0468923,
        0.0466683,
        0.0460655,
        0.0466649,
        0.0471842,
        0.0465809,
        0.0465218,
        0.0468864,
        0.0475556,
        0.0472789,
        0.047113,
        0.0474522,
        0.0476825,
        0.0476451,
        0.0478796,
        0.0476867,
        0.0477953,
        0.0481215,
        0.0485465,
        0.0485149,
        0.0482409,
        0.0476502,
        0.0474671,
        0.0479777,
        0.0478857,
        0.04799,
        0.0476844,
        0.0471749,
        0.0476192,
        0.0475568,
        0.0479259,
        0.0484846,
        0.0465192,
        0.046821,
        0.0466251,
        0.0468268,
        0.0468522,
        0.0467866,
        0.0466317,
        0.0467071,
        0.0461787,
        0.0464181,
        0.0467434,
        0.0468662,
        0.0462308,
        0.0464733,
        0.0461057,
        0.0456641,
        0.0456154,
        0.0454315,
        0.0455667,
        0.0466575,
        0.0471104,
        0.0458906,
        0.0462087,
        0.0462967,
        0.0465107,
        0.0467526,
        0.0464408,
        0.0468243,
        0.0463207,
        0.0462171,
        0.0464244,
        0.0455673,
        0.0464852,
        0.0468884,
        0.0479911,
        0.0478536,
        0.0478118,
        0.0471983,
        0.0474389,
        0.0473151,
        0.0482803,
        0.0483821,
        0.047617,
        0.0483221,
        0.0483526,
        0.0493681,
        0.0488075,
        0.0480249,
        0.0479362,
        0.0480941,
        0.0486365,
        0.0488929,
        0.0516679,
        0.0517542,
        0.0480948,
        0.0481717,
        0.0518822,
        0.0517889,
        0.0491744,
        0.0490543,
        0.048198,
        0.0489991,
        0.0481046,
        0.0489591,
        0.0489547,
        0.0489324,
        0.0492021,
        0.0510783,
        0.0519765,
        0.0517194,
        0.0519951,
        0.0516795,
        0.0515472,
        0.0513192,
        0.0492518,
        0.0490533,
        0.0485188,
        0.0478317,
        0.0476412,
        0.0469279,
        0.0468904,
        0.0467468,
        0.0469001,
        0.0474003,
        0.0469538,
        0.0470239,
        0.047151,
        0.0462911,
        0.0462105,
        0.046433,
        0.0462411,
        0.0470563,
        0.047258,
        0.0476192,
        0.0473378,
        0.047448,
        0.0479162,
        0.0476579,
        0.0497092,
        0.0499333,
        0.0474906,
        0.0478175,
        0.0475936,
        0.0485725,
        0.0482103,
        0.0485813,
        0.0487207,
        0.0481003,
        0.0489347,
        0.0494229,
        0.0487726,
        0.0487508,
        0.0489901,
        0.0488156,
        0.0491156,
        0.0501546,
        0.0484027,
        0.0492228,
        0.0500668,
        0.0486701,
        0.0491163,
        0.0505534,
        0.0526705,
        0.0498098,
        0.0492936,
        0.0491132,
        0.0492294,
        0.0488022,
        0.0488266,
        0.0490945,
        0.0492937,
        0.0497219,
        0.0503915,
        0.0497575,
        0.0481717,
        0.0504705,
        0.0500665,
        0.0485749,
        0.0486604,
        0.0485815,
        0.0495317,
        0.048911,
        0.0477718,
        0.0475626,
        0.0476056,
        0.0468452,
        0.0476965,
        0.0473612,
        0.0471623,
        0.0471003,
        0.0471764,
        0.0475188,
        0.0556087,
        0.0526701,
        0.0473957,
        0.0473697,
        0.0474696,
        0.0475081,
        0.0479947,
        0.047522,
        0.0505214,
        0.0513498,
        0.0472458,
        0.0483401,
        0.0485737,
        0.0482031,
        0.0477392,
        0.0483369,
        0.0488802,
        0.0493837,
        0.0489461,
        0.0488491,
        0.0494138,
        0.0498372,
        0.0499535,
        0.0502716,
        0.0510345,
        0.0508119,
        0.0519205,
        0.0517011,
        0.0543927,
        0.0544292,
        0.0504287,
        0.0549698,
        0.0554614,
        0.0597201,
        0.0599845,
        0.0501951,
        0.0497042,
        0.0498034,
        0.0497908,
        0.0495841,
        0.0498865,
        0.0505135,
        0.0502125,
        0.0494623,
        0.0491692,
        0.0496043,
        0.049151,
        0.048864,
        0.0486869,
        0.0488785,
        0.0573138,
        0.0582499,
        0.0485202,
        0.0476033,
        0.0478943,
        0.0485552,
        0.0478721,
        0.0482814,
        0.0484439,
        0.0485775,
        0.0482714,
        0.0512061,
        0.0490492,
        0.0471477,
        0.0474451,
        0.0475957,
        0.0473729,
        0.04706,
        0.0488672,
        0.049086,
        0.0476881,
        0.0478253,
        0.0473773,
        0.04773,
        0.0475956,
        0.0484003,
        0.0482819,
        0.0487467,
        0.0488352,
        0.0501818,
        0.0489613,
        0.0489011,
        0.0496262,
        0.048973,
        0.0494536,
        0.0491944,
        0.0495537,
        0.0491792,
        0.0489443,
        0.049265,
        0.0493691,
        0.0504413,
        0.0502913,
        0.0508103,
        0.050476,
        0.0507885,
        0.0536855,
        0.054288,
        0.0507374,
        0.0506584,
        0.0509022,
        0.0511239,
        0.0509038,
        0.0512732,
        0.0514435,
        0.0507282,
        0.053589,
        0.0538495,
        0.0512893,
        0.0516991,
        0.0511973,
        0.0516175,
        0.0522412,
        0.0516408,
        0.051624,
        0.0527086,
        0.0529276,
        0.0530693,
        0.0541565,
        0.0554388,
        0.0562173,
        0.0558025,
        0.0557091,
        0.0555753,
        0.0542103,
        0.0533814,
        0.0532755,
        0.0530297,
        0.051308,
        0.0509853,
        0.052163,
        0.0506061,
        0.0496603,
        0.0500487,
        0.0503795,
        0.0504708,
        0.0500378,
        0.0499024,
        0.0499427,
        0.0502498,
        0.0499758,
        0.0499752,
        0.0501712,
        0.0503026,
        0.0506666,
        0.0572888,
        0.0576944,
        0.0511631,
        0.0507092,
        0.0505788,
        0.0510422,
        0.0505456,
        0.0510106,
        0.0516724,
        0.0516534,
        0.0520674,
        0.0540903,
        0.0560437,
        0.0520978,
        0.0525851,
        0.0529129,
        0.0530957,
        0.0526061,
        0.0537734,
        0.0529901,
        0.0527569,
        0.0536677,
        0.0533092,
        0.0529036,
        0.0532863,
        0.0531663,
        0.0536814,
        0.0551675,
        0.0537322,
        0.0532095,
        0.0526206,
        0.0526709,
        0.0528593,
        0.0530291,
        0.0524896,
        0.0527199,
        0.0531291,
        0.0534965,
        0.053193,
        0.0522969,
        0.0527636,
        0.0528439,
        0.0527844,
        0.0531468,
        0.0535581,
        0.0537863,
        0.053074,
        0.05256,
        0.0512859,
        0.0514918,
        0.0514407,
        0.052464,
        0.0522918,
        0.0525057,
        0.0522978,
        0.0517622,
        0.0518443,
        0.0523198,
        0.0525776,
        0.0525318,
        0.0528938,
        0.0523961,
        0.0574792,
        0.0568743,
        0.0530266,
        0.0530289,
        0.0531708,
        0.0538673,
        0.0546203,
        0.0546521,
        0.0542512,
        0.0540951,
        0.0539809,
        0.0532468,
        0.0536956,
        0.0541773,
        0.0543646,
        0.0549594,
        0.0559188,
        0.0556872,
        0.0548222,
        0.0551098,
        0.0550545,
        0.0561433,
        0.0561442,
        0.0551956,
        0.0551304,
        0.055179,
        0.0554858,
        0.0553474,
        0.0556725,
        0.0661441,
        0.067008,
        0.0557621,
        0.0567751,
        0.0595849,
        0.0569092,
        0.0555648,
        0.0554756,
        0.0660557,
        0.0650564,
        0.0558464,
        0.0558604,
        0.0554218,
        0.0553124,
        0.0556589,
        0.0549102,
        0.0546502,
        0.054318,
        0.0544025,
        0.0544154,
        0.0551632,
        0.0548209,
        0.0546721,
        0.055535,
        0.0549644,
        0.0553371,
        0.054924,
        0.0549321,
        0.0552993,
        0.0559666,
        0.0563048,
        0.0561955,
        0.0550798,
        0.0543782,
        0.0548259,
        0.0551331,
        0.0546575,
        0.0557609,
        0.0550372,
        0.0548593,
        0.0553048,
        0.0556768,
        0.0563233,
        0.0561422,
        0.0562794,
        0.0568204,
        0.0566401,
        0.0564412,
        0.0567841,
        0.0581933,
        0.0577719,
        0.0570205,
        0.0567158,
        0.0577757,
        0.0576493,
        0.0575894,
        0.0579576,
        0.0602169,
        0.0611129,
        0.0607319,
        0.060659,
        0.0600178,
        0.0598088,
        0.0591022,
        0.0595905,
        0.059028,
        0.0596308,
        0.0600684,
        0.0604613,
        0.0615241,
        0.061312,
        0.0609629,
        0.0613083,
        0.0620176,
        0.0619193,
        0.062726,
        0.0628768,
        0.062202,
        0.0628768,
        0.0639069,
        0.0637222,
        0.0662397,
        0.0692749,
        0.0724949,
        0.0733705,
        0.0759666,
        0.076899,
        0.0791952,
        0.0793181,
        0.0859918,
        0.084976,
        0.0753614,
        0.0741756,
        0.0720924,
        0.0718807,
        0.0691758,
        0.0678891,
        0.0674186,
        0.0655553,
        0.0638603,
        0.0645285,
        0.0632427,
        0.0626728,
        0.0620503,
        0.0619866,
        0.0623951,
        0.0618448,
        0.0618275,
        0.0613645,
        0.0620113,
        0.0623651,
        0.0605901,
        0.061837,
        0.063254,
        0.0633178,
        0.0627574,
        0.0648699,
        0.0660542,
        0.0651978,
        0.0643487,
        0.0644851,
        0.0636448,
        0.0650482,
        0.0655882,
        0.0672989,
        0.0668348,
        0.0641814,
        0.0661676,
        0.0657747,
        0.0671331,
        0.0664827,
        0.0670344,
        0.067209,
        0.066303,
        0.066582,
        0.0681556,
        0.0689187,
        0.0680641,
        0.0699415,
        0.0704926,
        0.0721172,
        0.0715199,
        0.0722218,
        0.0800891,
        0.0819057,
        0.0722644,
        0.0734709,
        0.0736155,
        0.0724937,
        0.0724638,
        0.0718725,
        0.0720055,
        0.0720863,
        0.0722643,
        0.0708217,
        0.0693219,
        0.0689819,
        0.0689598,
        0.0690712,
        0.0682933,
        0.068089,
        0.0683403,
        0.0679363,
        0.0679823,
        0.067597,
        0.0672353,
        0.0671501,
        0.0685913,
        0.0707123,
        0.0692994,
        0.0685366,
        0.0709276,
        0.0715845,
        0.070154,
        0.0710227,
        0.0715751,
        0.0712422,
        0.072591,
        0.0737483,
        0.0741211,
        0.0741888,
        0.0733469,
        0.0731601,
        0.0732176,
        0.0723419,
        0.0726236,
        0.0737944,
        0.0733133,
        0.0753783,
        0.0759733,
        0.0752688,
        0.0770617,
        0.0772172,
        0.0892121,
        0.0837025,
        0.0897212,
        0.0899467,
        0.0801551,
        0.0819184,
        0.0827541,
        0.0823654,
        0.0836327,
        0.0817332,
        0.0827992,
        0.0997431,
        0.097766,
        0.0826065,
        0.083381,
        0.0832392,
        0.0850265,
        0.0877774,
        0.0889537,
        0.0889356,
        0.0889238,
        0.0880473,
        0.0971246,
        0.101122,
        0.0897534,
        0.0882252,
        0.0885264,
        0.0884109,
        0.0882291,
        0.0875258,
        0.0849214,
        0.0841229,
        0.0836606,
        0.0833282,
        0.0819724,
        0.0823647,
        0.0821491,
        0.0822899,
        0.083849,
        0.0832485,
        0.0826073,
        0.0827454,
        0.0837624,
        0.0849862,
        0.0840291,
        0.0859978,
        0.0955242,
        0.0957558,
        0.082833,
        0.0828204,
        0.0843945,
        0.0859371,
        0.084194,
        0.0971278,
        0.0965652,
        0.0857861,
        0.0876828,
        0.0886491,
        0.0898926,
        0.0902941,
        0.0893994,
        0.0894967,
        0.0890949,
        0.106066,
        0.108245,
        0.0933623,
        0.0934385,
        0.0937749,
        0.0944906,
        0.0926614,
        0.0955067,
        0.0967337,
        0.0967415,
        0.0982503,
        0.0984944,
        0.100126,
        0.0987527,
        0.0990013,
        0.0987438,
        0.0979865,
        0.10083,
        0.102321,
        0.102611,
        0.100334,
        0.101399,
        0.103598,
        0.103426,
        0.103978,
        0.107134,
        0.105326,
        0.10556,
        0.107394,
        0.10936,
        0.109853,
        0.109764,
        0.11285,
        0.109411,
        0.109803,
        0.112537,
        0.131327,
        0.127332,
        0.111439,
        0.114628,
        0.125567,
        0.129808,
        0.121122,
        0.121971,
        0.120816,
        0.127461,
        0.130894,
        0.1334,
        0.135364,
        0.15515,
        0.159156,
        0.132734,
        0.130037,
        0.128601,
        0.131687,
        0.132821,
        0.13508,
        0.135241,
        0.136836,
        0.137548,
        0.137858,
        0.157383,
        0.158028,
        0.157176,
        0.140302,
        0.141992,
        0.146226,
        0.149017,
        0.152432,
        0.150771,
        0.152091,
        0.151249,
        0.157581,
        0.160378,
        0.158783,
        0.162768,
        0.165009,
        0.172536,
        0.175429,
        0.172319,
        0.190062,
        0.193386,
        0.180989,
        0.196341,
        0.208079,
        0.198789,
        0.206596,
        0.205593,
        0.207787,
        0.207432,
        0.209387,
        0.218837,
        0.230851,
        0.244625,
        0.241581,
        0.275015,
        0.268877,
        0.275871,
        0.283094,
        0.280081,
        0.318016,
        0.325228,
        0.287829,
        0.293324,
        0.282137,
        0.289488,
        0.280768,
        0.302118,
        0.287358,
        0.292596,
        0.290929,
        0.309251,
        0.318926,
        0.356045,
        0.354696,
        0.36814,
        null,
        0.379568,
        0.316307,
        0.303536,
        0.30687,
        0.300555,
        0.259029,
        0.26097,
        0.255666,
        0.27933,
        0.258936,
        0.273419,
        0.246943,
        0.236072,
        0.242037,
        0.24675,
        0.238602,
        0.224198,
        0.224558,
        0.217027,
        0.210525,
        0.209714,
        0.203764,
        0.206472,
        0.209196,
        0.205102,
        0.196494,
        0.196142,
        0.185422,
        0.192461,
        0.191929,
        0.189563,
        0.181755,
        0.180341,
        0.182187,
        0.175551,
        0.172596,
        0.174988,
        0.182408,
        0.196687,
        0.188136,
        0.166585,
        0.166522,
        0.16431,
        0.159013,
        0.163139,
        0.160962,
        0.158977,
        0.158091,
        0.153273,
        0.158495,
        0.157451,
        0.157818,
        0.155715,
        0.156516,
        0.149307,
        0.147121,
        0.147026,
        0.144281,
        0.148272,
        0.14545,
        0.144418,
        0.144767,
        0.147534,
        0.144314,
        0.148999,
        0.148721,
        0.145801,
        0.150654,
        0.15393,
        0.157153,
        0.157068,
        0.158148,
        0.155787,
        0.155814,
        0.148072,
        0.142076,
        0.145614,
        0.138247,
        null,
        0.0750142,
        0.0748902,
        0.0755744,
        0.0743379,
        0.0730515,
        0.0740917,
        0.0733825,
        0.0735023,
        0.0747978,
        0.0747217,
        0.0731712,
        0.0733569,
        0.0738947,
        0.0756889,
        0.0750677,
        0.0750059,
        0.0744654,
        0.0748853,
        0.0773096,
        0.0766451,
        0.0741504,
        0.0758228,
        0.0766261,
        0.0752032,
        0.0760938,
        0.0772329,
        0.0779219,
        0.0799026,
        0.0802069,
        0.0849481,
        0.0867812,
        0.102975,
        0.112458,
        0.092253,
        0.0978078,
        0.102768,
        0.106193,
        0.103966,
        0.100601,
        0.0982135,
        0.0976525,
        0.0974503,
        0.0971278,
        0.099095,
        0.100358,
        0.104844,
        0.106812,
        0.109545,
        0.107193,
        0.105443,
        0.103441,
        0.101999,
        0.099555,
        0.0989226,
        0.0978972,
        0.102136,
        0.105048,
        0.0951034,
        0.0954003,
        0.0962285,
        0.0976353,
        0.102915,
        0.104401,
        0.0963943,
        0.0956173,
        0.0954075,
        0.0978838,
        0.0983232,
        0.0994152,
        0.101216,
        0.100446,
        0.101226,
        0.102805,
        0.103445,
        0.103099,
        0.103528,
        0.106903,
        0.107895,
        0.110578,
        0.112677,
        0.11451,
        0.11907,
        0.120894,
        0.118941,
        0.124553,
        0.127707,
        0.127795,
        0.132376,
        0.135474,
        0.139259,
        0.152799,
        0.154326,
        0.169371,
        0.176825,
        0.16598,
        0.167192,
        0.178039,
        0.20522,
        0.201218,
        0.200029,
        0.210704,
        0.235066,
        0.237398,
        0.247871,
        0.301276,
        0.320319,
        0.344518,
        0.416282,
        0.424456,
        0.337761,
        0.331019,
        0.284185,
        0.266958,
        0.256965,
        0.241829,
        0.231585,
        0.208992,
        0.20848,
        0.195327,
        0.191557,
        0.178863,
        0.174004,
        0.173572,
        0.167331,
        0.158872,
        0.153987,
        0.147333,
        0.147508,
        0.144447,
        0.139754,
        0.142865,
        0.158722,
        0.150584,
        0.150001,
        0.151697,
        0.13323,
        0.129249,
        0.129145,
        0.12849,
        0.126082,
        0.120385,
        0.117458,
        0.116523,
        0.114546,
        0.110506,
        0.108794,
        0.104043,
        0.100974,
        0.100781,
        0.0969145,
        0.0925146,
        0.090854,
        0.0923244,
        0.0908817,
        0.0903518,
        0.0889331,
        0.0866662,
        0.0844561,
        0.0845395,
        0.0837517,
        0.0836489,
        0.0848187,
        0.08386,
        0.0841747,
        0.0840765,
        0.0849684,
        0.0843365,
        0.0839253,
        0.0854436,
        0.0863106,
        0.0883584,
        0.091623,
        0.0955797,
        0.10174,
        0.102144,
        0.099495,
        0.0943611,
        0.090396,
        0.0856303,
        0.100895,
        0.0993596,
        0.0791453,
        0.0788705,
        0.0788454,
        0.0778314,
        0.0768498,
        0.0758094,
        0.0755415,
        0.0757775,
        0.0745043,
        0.0730507,
        0.0730587,
        0.072651,
        0.0733742,
        0.072108,
        0.0714866,
        0.0725728,
        0.070442,
        0.0705551,
        0.0697028,
        0.0704395,
        0.0691037,
        0.0680204,
        0.0686376,
        0.0689686,
        0.0673623,
        0.0677404,
        0.0677745,
        0.0666853,
        0.0779338,
        0.0776931,
        0.0652103,
        0.0657744,
        0.0668513,
        0.0649931,
        0.0653618,
        0.0640183,
        0.0642015,
        0.0651842,
        0.0636936,
        0.0642453,
        0.0636999,
        0.0649433,
        0.0646012,
        0.0639831,
        0.0637368,
        0.0629899,
        0.0644671,
        0.0641405,
        0.0643259,
        0.0636697,
        0.0637401,
        0.0658436,
        0.0669485,
        0.0646481,
        0.0649766,
        0.0658678,
        0.064258,
        0.0635573,
        0.0650806,
        0.0654391,
        0.0679207,
        0.0693279,
        0.0662845,
        0.0675098,
        0.0679049,
        0.0674585,
        0.0688041,
        0.0690282,
        0.0698811,
        0.0712939,
        0.0729901,
        0.0728737,
        0.0744317,
        0.0777107,
        0.079155,
        0.0812338,
        0.0840286,
        0.0854896,
        0.0896789,
        0.0971766,
        0.10116,
        0.102681,
        0.101748,
        0.105645,
        0.102138,
        0.094823,
        0.0894951,
        0.0836908,
        0.0808029,
        0.0789489,
        0.0755695,
        0.0721941,
        0.0693259,
        0.06856,
        0.0677111,
        0.0665794,
        0.0647575,
        0.06544,
        0.0641405,
        0.0624575,
        0.0634175,
        0.0620849,
        0.0616851,
        0.0614232,
        0.0609963,
        0.061138,
        0.0612947,
        0.0596053,
        0.0599094,
        0.0607324,
        0.0595689,
        0.0601263,
        0.0615841,
        0.0624724,
        0.0594897,
        0.0605862,
        0.0605117,
        0.0599749,
        0.0601446,
        0.0597106,
        0.0612891,
        0.0600757,
        0.0706451,
        0.0714505,
        0.0591722,
        0.0608379,
        0.0618534,
        0.0615495,
        0.0602856,
        0.060437,
        0.0606253,
        0.060374,
        0.0606424,
        0.0604963,
        0.0606783,
        0.0597169,
        0.0599018,
        0.0607498,
        0.0603472,
        0.0595006,
        0.059694,
        0.0594383,
        0.0601497,
        0.0594175,
        0.059226,
        0.0586474,
        0.0582377,
        0.0582205,
        0.0570919,
        0.0580683,
        0.0588091,
        0.058058,
        0.0581593,
        0.0575779,
        0.0583565,
        0.0583138,
        0.0577125,
        0.0571435,
        0.0568501,
        0.0574376,
        0.0577829,
        0.0568999,
        0.0566507,
        0.0565748,
        0.056386,
        0.056889,
        0.0568562,
        0.0572229,
        0.0577347,
        0.0580347,
        0.0568297,
        0.0579878,
        0.0586288,
        0.0588604,
        0.0593952,
        0.060624,
        0.0626674,
        0.0643393,
        0.0660285,
        0.0670466,
        0.0722723,
        0.0759012,
        0.0774441,
        0.0800382,
        0.0768588,
        0.0740318,
        0.0703483,
        0.0685651,
        0.0646388,
        0.0631769,
        0.0626983,
        0.0629965,
        0.0618965,
        0.0603939,
        0.0601428,
        0.0633471,
        0.060878,
        0.0598186,
        0.0596897,
        0.0592969,
        0.0594662,
        0.0595131,
        0.0596781,
        0.0593704,
        0.059622,
        0.0587572,
        0.0587427,
        0.0588699,
        0.0577919,
        0.0570132,
        0.0570345,
        0.058298,
        0.0581605,
        0.0580369,
        0.0576326,
        0.0575173,
        0.0591181,
        0.0654866,
        0.0637681,
        0.0566043,
        0.0577483,
        0.0580186,
        0.0573605,
        0.056795,
        0.0569076,
        0.0566336,
        0.0567944,
        0.0561976,
        0.0571143,
        0.0563097,
        0.056943,
        0.0571147,
        0.0568488,
        0.0565204,
        0.0565451,
        0.0568236,
        0.0574066,
        0.0566565,
        0.0577357,
        0.0578902,
        0.0576982,
        0.0585398,
        0.0576613,
        0.0585936,
        0.0581935,
        0.0582107,
        0.0589728,
        0.0590831,
        0.0599683,
        0.0599378,
        0.0603285,
        0.0604732,
        0.0597776,
        0.0615243,
        0.0602938,
        0.0612793,
        0.0608394,
        0.0606285,
        0.0607948,
        0.0615906,
        0.0615675,
        0.062698,
        0.0618284,
        0.0625014,
        0.0622945,
        0.0635617,
        0.0643758,
        0.0613448,
        0.0647683,
        0.0633853,
        0.0614945,
        0.0612278,
        0.0615398,
        0.061089,
        0.0605486,
        0.0601125,
        0.0609975,
        0.0621586,
        0.0616262,
        0.0645386,
        0.064337,
        0.0622419,
        0.0621077,
        0.0627832,
        0.0639226,
        0.0638934,
        0.0640951,
        0.0648349,
        0.0654025,
        0.0652542,
        0.0663785,
        0.0676933,
        0.0694324,
        0.0700973,
        0.0720884,
        0.0746163,
        0.0776706,
        0.0787199,
        0.0820366,
        0.0865795,
        0.0904794,
        0.0944813,
        0.10153,
        0.108812,
        0.116675,
        0.127573,
        0.144074,
        0.167306,
        0.193976,
        0.234139,
        0.303944,
        0.39192,
        0.268735,
        0.217791,
        0.185221,
        0.186432,
        0.160425,
        0.135007,
        0.118466,
        0.109299,
        0.101214,
        0.105428,
        0.103591,
        0.0885609,
        0.086556,
        0.0817883,
        0.0789522,
        0.0776907,
        0.0739373,
        0.0748811,
        0.074492,
        0.0718119,
        0.0820941,
        0.0815734,
        0.0697017,
        0.0672171,
        0.0686221,
        0.0668262,
        0.0658941,
        0.0663192,
        0.0654824,
        0.0653318,
        0.0649602,
        0.0649359,
        0.0662731,
        0.0659105,
        0.0647001,
        0.0635905,
        0.0635551,
        0.0636126,
        0.0635056,
        0.0640387,
        0.0639066,
        0.0652026,
        0.0648356,
        0.0663424,
        0.0665764,
        0.0671478,
        0.0690104,
        0.0714796,
        0.0714801,
        0.0734828,
        0.075811,
        0.0774633,
        0.0923099,
        0.0977331,
        0.0901893,
        0.0933063,
        0.0956657,
        0.0990588,
        0.0918375,
        0.0899115,
        0.0889383,
        0.0899918,
        0.0901961,
        0.0948809,
        0.100874,
        0.107735,
        0.12099,
        0.131014,
        0.143024,
        0.161485,
        0.175903,
        0.220177,
        0.20279,
        0.182169,
        0.157288,
        0.128374,
        0.116445,
        0.107355,
        0.0973867,
        0.0904197,
        0.0848546,
        0.0826567,
        0.080382,
        0.0786247,
        0.0766819,
        0.0748773,
        0.0739603,
        0.0741768,
        0.0717346,
        0.0713807,
        0.0773223,
        0.0792615,
        0.0725296,
        0.072099,
        0.0736552,
        0.0730966,
        0.0727628,
        0.0732654,
        0.0732069,
        0.0787368,
        0.0811639,
        0.0725967,
        0.0730136,
        0.0731868,
        0.0716781,
        0.0718595,
        0.0730166,
        0.0720632,
        0.072297,
        0.0725694,
        0.0731346,
        0.0725454,
        0.074426,
        0.0756724,
        0.0778997,
        0.0825636,
        0.0858001,
        0.0884059,
        0.0897343,
        0.0873296,
        0.0864398,
        0.0859195,
        0.0883285,
        0.100252,
        0.10378,
        0.103921,
        0.105229,
        0.0938147,
        0.0936945,
        0.092802,
        0.0927277,
        0.0922537,
        0.0937149,
        0.095305,
        0.0966767,
        0.0976792,
        0.0993236,
        0.0998466,
        0.102573,
        0.10487,
        0.109415,
        0.112452,
        0.116608,
        0.122069,
        0.132902,
        0.147874,
        0.138176,
        0.142418,
        0.156538,
        0.168374,
        0.182353,
        0.204071,
        0.224752,
        0.253193,
        0.287188,
        0.30843,
        0.386951,
        0.318389,
        0.291347,
        0.251321,
        0.209784,
        0.202035,
        0.184456,
        0.169452,
        0.161534,
        0.152825,
        0.141487,
        0.139831,
        0.132677,
        0.12831,
        0.123488,
        0.11974,
        0.116458,
        0.115164,
        0.112173,
        0.107401,
        0.105326,
        0.103691,
        0.103086,
        0.107188,
        0.110879,
        0.0996256,
        0.0962802,
        0.0965767,
        0.0968274,
        0.0944312,
        0.094864,
        0.0964607,
        0.0932663,
        0.0918601,
        0.0922974,
        0.0934401,
        0.0931783,
        0.0920712,
        0.0917644,
        0.0945312,
        0.0939504,
        0.0938772,
        0.0963309,
        0.0977582,
        0.0976943,
        0.10033,
        0.104693,
        0.109334,
        0.11395,
        0.120335,
        0.123079,
        0.120116,
        0.119352,
        0.117829,
        0.114654,
        0.113782,
        0.108979,
        0.103771,
        0.105175,
        0.113194,
        0.111509,
        0.103148,
        0.103694,
        0.106573,
        0.103862,
        0.107172,
        0.110789,
        0.110494,
        0.110249,
        0.114378,
        0.115472,
        0.122338,
        0.128153,
        0.131905,
        0.131294,
        0.163775,
        0.153874,
        0.135031,
        0.132961,
        0.133977,
        0.133927,
        0.135984,
        0.137605,
        0.1392,
        0.139961,
        0.140226,
        0.158225,
        0.158872,
        0.151359,
        0.153135,
        0.15737,
        0.156284,
        0.158008,
        0.170998,
        0.197851,
        0.220119,
        0.194394,
        0.201589,
        0.20167,
        0.219863,
        0.229217,
        0.247212,
        0.24671,
        0.265923,
        0.278109,
        0.274775,
        0.316346,
        0.370098,
        0.340203,
        0.305296,
        0.291488,
        0.287952,
        0.254081,
        0.246815,
        0.237473,
        0.217535,
        0.202831,
        0.189569,
        0.18805,
        0.182104,
        0.178247,
        0.175963,
        0.162668,
        0.155498,
        0.155603,
        0.149152,
        0.144714,
        0.144616,
        0.14005,
        0.137284,
        0.133305,
        0.137081,
        0.135897,
        0.127327,
        0.124424,
        0.119732,
        0.119197,
        0.121266,
        0.118086,
        0.11306,
        0.109716,
        0.111853,
        0.114847,
        0.113727,
        0.10977,
        0.107627,
        0.107994,
        0.107885,
        0.106938,
        0.105736,
        0.106223,
        0.102588,
        0.102067,
        0.101853,
        0.0977989,
        0.0961928,
        0.0950484,
        0.0923681,
        0.0918408,
        0.0885512,
        0.0891961,
        0.0894398,
        0.0865891,
        0.0962601,
        0.096839,
        0.0843746,
        0.0830155,
        0.0817612,
        0.081725,
        0.0808112,
        0.0811822,
        0.0796237,
        0.0782284,
        0.0780795,
        0.076527,
        0.0788072,
        0.0772103,
        0.0754411,
        0.0753352,
        0.0740371,
        0.0731331,
        0.0741532,
        0.072905,
        0.0732854,
        0.0731305,
        0.0727048,
        0.0731777,
        0.0728173,
        0.0734917,
        0.0726222,
        0.0735163,
        0.0738977,
        0.072019,
        0.0703692,
        0.0723233,
        0.0714396,
        0.0711943,
        0.0715749,
        0.0727571,
        0.0724437,
        0.0845321,
        0.0841473,
        0.0737187,
        0.0731189,
        0.0746105,
        0.0773658,
        0.0799419,
        0.0843747,
        0.0856618,
        0.086179,
        0.0826971,
        0.0810773,
        0.0777814,
        0.075798,
        0.0741849,
        0.0735625,
        0.071603,
        0.0714843,
        0.0713938,
        0.0698702,
        0.068865,
        0.0686321,
        0.0686155,
        0.0692067,
        0.0680654,
        0.0672589,
        0.0654155,
        0.0659694,
        0.0661168,
        0.0651411,
        0.0651414,
        0.0646127,
        0.0648686,
        0.0653352,
        0.0646903,
        0.0648099,
        0.0645618,
        0.0632346,
        0.0632915,
        0.0767689,
        0.0767241,
        0.0637317,
        0.0624106,
        0.0627764,
        0.0627181,
        0.0610701,
        0.0728606,
        0.0729129,
        0.0621103,
        0.0625613,
        0.0609387,
        0.0611268,
        0.0611754,
        0.0606427,
        0.0611938,
        0.0612348,
        0.0601531,
        0.0606547,
        0.0604761,
        0.0600288,
        0.0612933,
        0.0612897,
        0.0613501,
        0.0619116,
        0.0616685,
        0.0625001,
        0.0626222,
        0.0605311,
        0.0610847,
        0.0605489,
        0.0612027,
        0.0627472,
        0.0711685,
        0.0786212,
        0.0794823,
        0.0630059,
        0.0621599,
        0.0628899,
        0.0629144,
        0.0627273,
        0.0624273,
        0.0615295,
        0.0719585,
        0.0717723,
        0.0620587,
        0.0626485,
        0.0620312,
        0.0620044,
        0.0621051,
        0.0619304,
        0.0616653,
        0.0616796,
        0.0608309,
        0.0598244,
        0.0605315,
        0.0605457,
        0.0609033,
        0.0614862,
        0.0618262,
        0.0630525,
        0.0620319,
        0.059678,
        0.0595239,
        0.0589331,
        0.0583613,
        0.0584858,
        0.0587203,
        0.0586661,
        0.0588359,
        0.0581503,
        0.0581705,
        0.0565184,
        0.0571488,
        0.057683,
        0.0581237,
        0.0587508,
        0.0579172,
        0.0577722,
        0.0576449,
        0.0574927,
        0.0572022,
        0.0571687,
        0.0573177,
        0.0590371,
        0.0574698,
        0.0567323,
        0.0573592,
        0.0568816,
        0.0605154,
        0.0610351,
        0.0587773,
        0.0586616,
        0.0583835,
        0.0582478,
        0.05854,
        0.0587746,
        0.0584939,
        0.0591413,
        0.0592204,
        0.0616068,
        0.0660863,
        0.0609317,
        0.0593563,
        0.058739,
        0.0590859,
        0.0595792,
        0.0598091,
        0.0596043,
        0.0603036,
        0.059866,
        0.0603069,
        0.0611996,
        0.0604408,
        0.0609929,
        0.0615348,
        0.0620122,
        0.0609617,
        0.0621476,
        0.0613788,
        0.0604563,
        0.0603156,
        0.0600805,
        0.0597675,
        0.0611845,
        0.0606545,
        0.0597076,
        0.0586797,
        0.0591279,
        0.0594455,
        0.0595974,
        0.0587793,
        0.0591507,
        0.0607208,
        0.0603771,
        0.0582471,
        0.0586811,
        0.0588947,
        0.0584576,
        0.0583211,
        0.0582104,
        0.0581486,
        0.0578968,
        0.058732,
        0.0591036,
        0.0595065,
        0.0589303,
        0.0582734,
        0.0586228,
        0.0584466,
        0.0584242,
        0.0586533,
        0.0598792,
        0.0637695,
        0.0642621,
        0.060562,
        0.0613145,
        0.0610065,
        0.0610004,
        0.0608453,
        0.0617538,
        0.0623908,
        0.0634533,
        0.0628847,
        0.0631973,
        0.0643267,
        0.0647113,
        0.066041,
        0.0681863,
        0.0695482,
        0.0721539,
        0.07416,
        0.0750997,
        0.0740766,
        0.0710832,
        0.0685936,
        0.0677373,
        0.0668686,
        0.0666973,
        0.0663961,
        0.0674892,
        0.0669409,
        0.0734721,
        0.0740779,
        0.0661872,
        0.0664941,
        0.0663055,
        0.0770458,
        0.0717962,
        0.06478,
        0.0654258,
        0.065602,
        0.0647444,
        0.0722306,
        0.0712268,
        0.0629878,
        0.0626587,
        0.0625372,
        0.0620158,
        0.0626862,
        0.0620133,
        0.0608962,
        0.0610617,
        0.0612645,
        0.0615594,
        0.0616465,
        0.065373,
        0.0653221,
        0.0612333,
        0.064384,
        0.0771465,
        0.071721,
        0.0612821,
        0.0609951,
        0.0602837,
        0.0602863,
        0.0620348,
        0.0618155,
        0.0609465,
        0.0632277,
        0.0641178,
        0.0609868,
        0.0603563,
        0.060756,
        0.0612352,
        0.0613253,
        0.0610504,
        0.0616962,
        0.061643,
        0.0624238,
        0.0630068,
        0.0634131,
        0.0630467,
        0.063124,
        0.0637423,
        0.0629074,
        0.0630438,
        0.0643862,
        0.0631275,
        0.0644104,
        0.0651195,
        0.0648281,
        0.0684192,
        0.0698077,
        0.0655727,
        0.0705741,
        0.0693315,
        0.0631563,
        0.0640435,
        0.0649695,
        0.0642876,
        0.0643965,
        0.0779017,
        0.0779841,
        0.0760526,
        0.0765185,
        0.0636229,
        0.0645408,
        0.0641417,
        0.0638619,
        0.0647183,
        0.0649099,
        0.0648824,
        0.0640777,
        0.0639288,
        0.0646245,
        0.0643957,
        0.0711086,
        0.0732737,
        0.0642878,
        0.0637935,
        0.0650519,
        0.0652895,
        0.0646274,
        0.0642619,
        0.0672948,
        0.0675233,
        0.0633491,
        0.0654446,
        0.0657453,
        0.0665893,
        0.066731,
        0.0662394,
        0.066882,
        0.0667217,
        0.0668711,
        0.068759,
        0.0686181,
        0.0691868,
        0.0695805,
        0.0693552,
        0.0704505,
        0.071435,
        0.0716238,
        0.0815489,
        0.0821115,
        0.0740964,
        0.0753865,
        0.0817245,
        0.0822056,
        0.079565,
        0.0810446,
        0.0819303,
        0.0845581,
        0.0865467,
        0.0874569,
        0.0899892,
        0.0945827,
        0.101717,
        0.106242,
        0.110385,
        0.117072,
        0.119855,
        0.130394,
        0.148181,
        0.160773,
        0.18719,
        0.206368,
        0.228384,
        0.2699,
        0.313385,
        0.310717,
        0.320874,
        0.294759,
        0.263153,
        0.234851,
        0.246899,
        0.215635,
        0.162528,
        0.146837,
        0.134463,
        0.123895,
        0.121949,
        0.112574,
        0.102375,
        0.0983663,
        0.095257,
        0.0916338,
        0.0921378,
        0.0941851,
        0.0920655,
        0.0837919,
        0.0829141,
        0.0867766,
        0.0829554,
        0.0790425,
        0.0780435,
        0.077082,
        0.0769094,
        0.0770747,
        0.0752088,
        0.0745256,
        0.0743609,
        0.0725417,
        0.0723632,
        0.0719776,
        0.0733836,
        0.0728256,
        0.0720944,
        0.0712729,
        0.072989,
        0.0730948,
        0.08267,
        0.0827248,
        0.0719198,
        0.0880669,
        0.0960997,
        0.0768117,
        0.0864969,
        0.0855962,
        0.0751032,
        0.0750501,
        0.075321,
        0.0766932,
        0.0779363,
        0.0794448,
        0.0797502,
        0.0806003,
        0.0825814,
        0.0800242,
        0.0803116,
        0.0775186,
        0.0758852,
        0.074339,
        0.0741393,
        0.0739093,
        0.0739961,
        0.0743971,
        0.0741168,
        0.087638,
        0.0867864,
        0.0743197,
        0.0736028,
        0.0734906,
        0.0742595,
        0.0733166,
        0.0724957,
        0.0722757,
        0.0724388,
        0.0721987,
        0.0722751,
        0.0716297,
        0.0716789,
        0.0728848,
        0.0746107,
        0.0790996,
        0.0762623,
        0.0794437,
        0.0792258,
        0.0750415,
        0.074439,
        0.0752746,
        0.073702,
        0.0747314,
        0.0748986,
        0.0734617,
        0.0725225,
        0.0742325,
        0.0771151,
        0.0755692,
        0.0768432,
        0.0775752,
        0.0770553,
        0.0786603,
        0.0782274,
        0.0771228,
        0.0770136,
        0.0758621,
        0.0775083,
        0.0790245,
        0.0783243,
        0.076407,
        0.0781602,
        0.0796699,
        0.0831067,
        0.0842032,
        0.0854267,
        0.0899947,
        0.0961261,
        0.100282,
        0.097709,
        0.093781,
        0.102939,
        0.100805,
        0.0941366,
        0.0939546,
        0.0951387,
        0.0990201,
        0.102554,
        0.107149,
        0.112613,
        0.125428,
        0.131722,
        0.123785,
        0.124001,
        0.133502,
        0.130644,
        0.117311,
        0.116162,
        0.110127,
        0.104765,
        0.102073,
        0.0998907,
        0.0976525,
        0.0929051,
        0.0907725,
        0.0883765,
        0.0867902,
        0.0852399,
        0.088116,
        0.0868505,
        0.082904,
        0.0857343,
        0.08481,
        0.0824002,
        0.0816284,
        0.0793175,
        0.0798603,
        0.0805862,
        0.0799039,
        0.0796138,
        0.0813555,
        0.0811508,
        0.0794928,
        0.081035,
        0.0799737,
        0.0912574,
        0.0938736,
        0.0815801,
        0.0819498,
        0.0802085,
        0.0835095,
        0.0829352,
        0.0816089,
        0.0817271,
        0.0898746,
        0.0921452,
        0.0808876,
        0.0806912,
        0.0829172,
        0.0828158,
        0.0818252,
        0.082035,
        0.0822578,
        0.0815209,
        0.0830473,
        0.0846232,
        0.0867552,
        0.0849054,
        0.0837331,
        0.084104,
        0.0853825,
        0.0849682,
        0.0849603,
        0.0865383,
        0.0880584,
        0.0988648,
        0.0994804,
        0.0888245,
        0.0899513,
        0.089751,
        0.0899,
        0.0924168,
        0.0913254,
        0.0914266,
        0.0920163,
        0.0930222,
        0.0942137,
        0.0943071,
        0.0966194,
        0.0975045,
        0.0991985,
        0.0991153,
        0.100015,
        0.101724,
        0.104874,
        0.105749,
        0.110101,
        0.114054,
        0.130399,
        0.134495,
        0.123708,
        0.126374,
        0.125869,
        0.125742,
        0.130678,
        0.130152,
        0.132459,
        0.13554,
        0.136585,
        0.144446,
        0.154612,
        0.16075,
        0.183003,
        0.209744,
        0.206869,
        0.223687,
        0.242088,
        0.284338,
        0.347608,
        0.307041,
        0.26472,
        0.236643,
        0.214238,
        0.193265,
        0.182525,
        0.170274,
        0.159739,
        0.154198,
        0.14569,
        0.140059,
        0.136631,
        0.128345,
        0.128111,
        0.127351,
        0.128243,
        0.119843,
        0.115846,
        0.115798,
        0.111221,
        0.108283,
        0.105256,
        0.102068,
        0.105901,
        0.109951,
        0.101097,
        0.100048,
        0.100556,
        0.0999091,
        0.0974363,
        0.0966106,
        0.0972324,
        0.097354,
        0.0960891,
        0.0950481,
        0.0940208,
        0.0929849,
        0.093254,
        0.0935459,
        0.0917473,
        0.091528,
        0.0918966,
        0.0914221,
        0.0931813,
        0.090238,
        0.0909932,
        0.0904324,
        0.0905597,
        0.0884441,
        0.0873409,
        0.0889583,
        0.0880353,
        0.0864063,
        0.0924284,
        0.0923377,
        0.089895,
        0.0886495,
        0.0876976,
        0.0900821,
        0.0902044,
        0.0873054,
        0.0864401,
        0.0873088,
        0.0885039,
        0.102497,
        0.103524,
        0.0895191,
        0.0899698,
        0.0887524,
        0.0893215,
        0.0907371,
        0.0900201,
        0.0902983,
        0.0967892,
        0.0971814,
        0.0906407,
        0.0913861,
        0.089498,
        0.0912312,
        0.0922594,
        0.0942401,
        0.0977169,
        0.0948595,
        0.096443,
        0.0990039,
        0.0981079,
        0.0927023,
        0.0926834,
        0.0938772,
        0.0917534,
        0.0937313,
        0.0928555,
        0.0947491,
        0.0920175,
        0.0938899,
        0.0922818,
        0.0922721,
        0.0936425,
        0.0950491,
        0.0925998,
        0.0938327,
        0.0956499,
        0.0948,
        0.0932482,
        0.0923198,
        0.0918961,
        0.0918271,
        0.0926185,
        0.0933621,
        0.0926326,
        0.0933381,
        0.0909644,
        0.0910176,
        0.0927529,
        0.0939205,
        0.0932414,
        0.0911144,
        0.0936968,
        0.0928132,
        0.0912125,
        0.0913089,
        0.0928657,
        0.0949317,
        0.0928606,
        0.0912638,
        0.0925206,
        0.0933368,
        0.09307,
        0.0932943,
        0.0925118,
        0.0943444,
        0.0947728,
        0.0952457,
        0.096272,
        0.110143,
        0.106855,
        0.0944074,
        0.0969986,
        0.0955707,
        0.0968979,
        0.0974384,
        0.0977786,
        0.0979196,
        0.0985633,
        0.0976943,
        0.0984591,
        0.0969376,
        0.102283,
        0.0989403,
        0.0976534,
        0.100359,
        0.10322,
        0.103644,
        0.102736,
        0.100578,
        0.102673,
        0.104221,
        0.103454,
        0.102497,
        0.105116,
        0.104559,
        0.104455,
        0.108006,
        0.104838,
        0.106357,
        0.106987,
        0.106639,
        0.108294,
        0.117979,
        0.121557,
        0.109266,
        0.106219,
        0.104887,
        0.104411,
        0.107288,
        0.107765,
        0.106237,
        0.107136,
        0.105499,
        0.107238,
        0.108147,
        0.107643,
        0.10921,
        0.111345,
        0.121088,
        0.120394,
        0.108116,
        0.107666,
        0.106615,
        0.108362,
        0.109028,
        0.105883,
        0.109388,
        0.109275,
        0.110494,
        0.109939,
        0.111298,
        0.109473,
        0.112924,
        0.112673,
        0.113506,
        0.113237,
        0.114075,
        0.113321,
        0.129897,
        0.130961,
        0.114737,
        0.114716,
        0.115382,
        0.11918,
        0.117697,
        0.119399,
        0.121434,
        0.119445,
        0.119555,
        0.119812,
        0.123077,
        0.123987,
        0.130155,
        0.130655,
        0.127179,
        0.126973,
        0.128029,
        0.140744,
        0.145959,
        0.134613,
        0.137271,
        0.130802,
        0.13498,
        0.133543,
        0.133288,
        0.134626,
        0.139302,
        0.139253,
        0.13835,
        0.137179,
        0.139729,
        0.138464,
        0.141823,
        0.136213,
        0.139751,
        0.143395,
        0.143776,
        0.14119,
        0.143007,
        0.140867,
        0.143298,
        0.142824,
        0.144559,
        0.15096,
        0.151535,
        0.148993,
        0.15186,
        0.152455,
        0.152163,
        0.154783,
        0.151982,
        0.152773,
        0.152582,
        0.153218,
        0.152467,
        0.157111,
        0.158313,
        0.15687,
        0.160308,
        0.161335,
        0.164978,
        0.160967,
        0.165857,
        0.16868,
        0.168075,
        0.171695,
        0.171818,
        0.174875,
        0.176485,
        0.177409,
        0.190685,
        0.21498,
        0.18552,
        0.186287,
        0.194642,
        0.201381,
        0.192612,
        0.226039,
        0.2361,
        0.21383,
        0.208198,
        0.211953,
        0.223634,
        0.226341,
        0.22618,
        0.258084,
        0.264428,
        0.240932,
        0.238059,
        0.248084,
        0.259409,
        0.249717,
        0.252854,
        0.262141,
        0.27491,
        0.277368,
        0.301757,
        0.286657,
        0.284741,
        0.30452,
        0.315358,
        0.368511,
        0.334914,
        0.350204,
        0.38881,
        null,
        0.349253,
        0.323033,
        0.326081,
        0.320175,
        0.305192,
        0.301531,
        0.308064,
        0.296043,
        0.28656,
        0.294029,
        0.279105,
        0.2881,
        0.274354,
        0.290616,
        0.277951,
        0.291041,
        0.292535,
        0.273774,
        0.27386,
        0.264901,
        0.257985,
        0.252245,
        0.246607,
        0.245482,
        0.235597,
        0.225079,
        0.22911,
        0.231105,
        0.229133,
        0.21196,
        0.217245,
        0.218401,
        0.215578,
        0.21556,
        0.216893,
        0.201826,
        0.203143,
        0.212794,
        0.194246,
        0.188727,
        0.187641,
        0.18735,
        0.186657,
        0.186296,
        0.173489,
        0.1732,
        0.182968,
        0.176744,
        0.180099,
        0.172242,
        0.169167,
        0.169007,
        0.16773,
        0.16576,
        0.167685,
        0.167578,
        0.166225,
        0.167534,
        0.165527,
        0.157888,
        0.158202,
        0.154928,
        0.153426,
        0.157634,
        0.155635,
        0.15254,
        0.151735,
        0.149004,
        0.157258,
        0.150033,
        0.14841,
        0.15168,
        0.151171,
        0.151982,
        0.147796,
        0.151775,
        0.145213,
        0.151295,
        0.14798,
        0.14191,
        0.143522,
        0.142881,
        0.145969,
        0.143545,
        0.139318,
        0.14227,
        0.138372,
        0.140349,
        0.148335,
        0.15352,
        0.14271,
        0.142375,
        0.139505,
        0.140915,
        0.134931,
        0.135063,
        0.137146,
        0.135764,
        0.137087,
        0.137694,
        0.135148,
        0.136414,
        0.135013,
        0.131775,
        0.135605,
        0.142541,
        0.138251,
        0.136846,
        0.141822,
        0.142674,
        0.148987,
        0.154682,
        0.161795,
        0.177761,
        0.205479,
        0.249404,
        0.275073,
        0.303554,
        0.307388,
        0.301891,
        0.257019,
        0.218032,
        0.182608,
        0.162318,
        0.14835,
        0.140777,
        0.133171,
        0.128723,
        0.127818,
        0.124562,
        0.121894,
        0.119345,
        0.120539,
        0.118874,
        0.11627,
        0.113694,
        0.115741,
        0.114788,
        0.110481,
        0.11184,
        0.108702,
        0.109593,
        0.1091,
        0.112535,
        0.113244,
        0.109137,
        0.11109,
        0.109261,
        0.11075,
        0.10699,
        0.108432,
        0.107217,
        0.105275,
        0.107829,
        0.107594,
        0.106372,
        0.106019,
        0.107206,
        0.103748,
        0.102257,
        0.105171,
        0.103449,
        0.10369,
        0.103677,
        0.102422,
        0.101157,
        0.100436,
        0.0985528,
        0.0996611,
        0.101087,
        0.10184,
        0.100388,
        0.0975284,
        0.0974063,
        0.098354,
        0.0959225,
        0.0972827,
        0.0962899,
        0.0953596,
        0.0977162,
        0.0962805,
        0.0957501,
        0.0965951,
        0.0960726,
        0.0945489,
        0.094805,
        0.0930244,
        0.094996,
        0.0933996,
        0.0960339,
        0.096703,
        0.0961511,
        0.0947406,
        0.0978888,
        0.0961039,
        0.0950678,
        0.0964457,
        0.0971792,
        0.0982368,
        0.0997353,
        0.103082,
        0.107017,
        0.107608,
        0.10783,
        0.108408,
        0.105979,
        0.102465,
        0.0995844,
        0.100939,
        0.0997599,
        0.101061,
        0.0978412,
        0.0963792,
        0.0967276,
        0.0964948,
        0.0965536,
        0.0982752,
        0.0954943,
        0.0940584,
        0.0958695,
        0.0958911,
        0.093224,
        0.0934508,
        0.0969907,
        0.0946562,
        0.0939213,
        0.0951309,
        0.095129,
        0.0934757,
        0.0943382,
        0.0953222,
        0.0949678,
        0.0948603,
        0.0959722,
        0.0944759,
        0.0962503,
        0.0981168,
        0.0986006,
        0.100337,
        0.103019,
        0.104551,
        0.106336,
        0.111092,
        0.115219,
        0.116726,
        0.129781,
        0.136527,
        0.142682,
        0.169222,
        0.181233,
        0.192863,
        0.209845,
        0.216201,
        0.20681,
        0.198958,
        0.180662,
        0.164939,
        0.1805,
        0.168385,
        0.127184,
        0.116804,
        0.112242,
        0.108557,
        0.107303,
        0.102062,
        0.101707,
        0.0989394,
        0.0976838,
        0.0954097,
        0.0958771,
        0.094205,
        0.0915512,
        0.0910983,
        0.0916262,
        0.090512,
        0.090727,
        0.0898794,
        0.0907286,
        0.0889832,
        0.0874078,
        0.0881782,
        0.0913146,
        0.0897935,
        0.0899883,
        0.0906134,
        0.090208,
        0.0901879,
        0.0892298,
        0.0902378,
        0.0869219,
        0.0851169,
        0.0875436,
        0.0878803,
        0.0898366,
        0.0901709,
        0.0919838,
        0.0941102,
        0.0955571,
        0.0950344,
        0.098178,
        0.103096,
        0.103318,
        0.1024,
        0.103503,
        0.102691,
        0.102996,
        0.101599,
        0.0975943,
        0.0925367,
        0.0908928,
        0.090208,
        0.0870105,
        0.0832718,
        0.0827151,
        0.0828363,
        0.0807956,
        0.0801357,
        0.0786125,
        0.0792017,
        0.078178,
        0.0787425,
        0.0786753,
        0.078511,
        0.0778143,
        0.0771284,
        0.0775974,
        0.0771957,
        0.0763621,
        0.0778428,
        0.0802229,
        0.0777848,
        0.0786492,
        0.0772237,
        0.0777702,
        0.077824,
        0.0793299,
        0.0791331,
        0.0771707,
        0.0780922,
        0.0787915,
        0.0779805,
        0.0778995,
        0.0802319,
        0.0783244,
        0.0779989,
        0.0789727,
        0.0775226,
        0.0779731,
        0.0773874,
        0.0777333,
        0.0764175,
        0.0770609,
        0.0772166,
        0.0763013,
        0.076501,
        0.0756145,
        0.076175,
        0.0762521,
        0.0752836,
        0.0744522,
        0.0752939,
        0.0749261,
        0.0746781,
        0.0746271,
        0.0743232,
        0.0739131,
        0.0748638,
        0.0752641,
        0.0749465,
        0.0752454,
        0.0753407,
        0.0761632,
        0.0750039,
        0.0755557,
        0.0751837,
        0.0755871,
        0.0815265,
        0.0784092,
        0.078605,
        0.0826992,
        0.0792243,
        0.0796024,
        0.081068,
        0.0810435,
        0.0844478,
        0.089495,
        0.0920858,
        0.0982356,
        0.108022,
        0.123905,
        0.152623,
        0.190109,
        0.246045,
        0.308324,
        0.30347,
        0.26016,
        0.21431,
        0.164546,
        0.139038,
        0.120512,
        0.105025,
        0.100146,
        0.0932981,
        0.0913349,
        0.0858619,
        0.0848345,
        0.0837767,
        0.0830944,
        0.0798996,
        0.0822839,
        0.0817405,
        0.0797337,
        0.0776028,
        0.0776207,
        0.0796238,
        0.0774435,
        0.0770149,
        0.0773457,
        0.0782532,
        0.0771376,
        0.078173,
        0.0749168,
        0.0750732,
        0.0773087,
        0.0756182,
        0.0753454,
        0.0755846,
        0.0753852,
        0.0761096,
        0.0750719,
        0.073458,
        0.0757651,
        0.0757464,
        0.0856181,
        0.0834295,
        0.0726122,
        0.0734008,
        0.0744157,
        0.074779,
        0.074955,
        0.0768184,
        0.075915,
        0.0744494,
        0.0761207,
        0.0747437,
        0.0733872,
        0.0740133,
        0.0751447,
        0.0754451,
        0.0749586,
        0.0743994,
        0.0750983,
        0.0744588,
        0.0756089,
        0.0752923,
        0.0764138,
        0.0762208,
        0.0791756,
        0.0782924,
        0.0799664,
        0.0805932,
        0.0800676,
        0.0801805,
        0.081615,
        0.0820273,
        0.0838774,
        0.0878522,
        0.088761,
        0.0904622,
        0.0925439,
        0.096119,
        0.0998394,
        0.104647,
        0.110859,
        0.114681,
        0.124636,
        0.130437,
        0.137012,
        0.14077,
        0.150334,
        0.160349,
        0.165343,
        0.162428,
        0.162564,
        0.159583,
        0.158027,
        0.148955,
        0.14303,
        0.137877,
        0.133422,
        0.123909,
        0.119092,
        0.113833,
        0.110168,
        0.104743,
        0.100164,
        0.0980023,
        0.0996616,
        0.0955781,
        0.0937112,
        0.0953485,
        0.0963586,
        0.0973339,
        0.100167,
        0.106351,
        0.111383,
        0.114848,
        0.119106,
        0.127971,
        0.123643,
        0.135958,
        0.126607,
        0.106622,
        0.0988262,
        0.0931155,
        0.0892908,
        0.0858369,
        0.0840499,
        0.0810862,
        0.0808721,
        0.0789017,
        0.0772676,
        0.0761067,
        0.0770102,
        0.0764567,
        0.0769118,
        0.0757784,
        0.0758771,
        0.074394,
        0.0737547,
        0.0857582,
        0.0849739,
        0.0749146,
        0.0737041,
        0.0736199,
        0.0747523,
        0.0737571,
        0.0748592,
        0.0751715,
        0.0748848,
        0.0752781,
        0.0748205,
        0.075428,
        0.0749185,
        0.0851626,
        0.0852366,
        0.0746514,
        0.0761428,
        0.0760401,
        0.0776681,
        0.0754524,
        0.074089,
        0.0748207,
        0.0747907,
        0.0747897,
        0.0742227,
        0.0726882,
        0.0708228,
        0.0716277,
        0.0706034,
        0.0702921,
        0.0703553,
        0.0718784,
        0.0703899,
        0.0690174,
        0.0698325,
        0.0689706,
        0.0816329,
        0.0834215,
        0.0693846,
        0.0708992,
        0.0698682,
        0.0709459,
        0.0713473,
        0.0715567,
        0.0723042,
        0.0729647,
        0.0736914,
        0.0760414,
        0.0773246,
        0.0800329,
        0.0831078,
        0.0904867,
        0.0905851,
        0.0919608,
        0.0918178,
        0.0895207,
        0.086499,
        0.0829432,
        0.0803136,
        0.0795672,
        0.0778515,
        0.0764146,
        0.0755813,
        0.0736374,
        0.0736926,
        0.0746283,
        0.0739832,
        0.0811212,
        0.0781499,
        0.0746827,
        0.0733737,
        0.072671,
        0.0734717,
        0.0731931,
        0.0730289,
        0.0740108,
        0.0734955,
        0.0723286,
        0.072673,
        0.0722838,
        0.0713613,
        0.0710093,
        0.0706156,
        0.0716323,
        0.0711489,
        0.0725493,
        0.0710368,
        0.0709151,
        0.071757,
        0.0714994,
        0.0728336,
        0.0732015,
        0.0724396,
        0.0722622,
        0.0718655,
        0.0714547,
        0.0709182,
        0.0694715,
        0.0685084,
        0.0691707,
        0.0687245,
        0.0680195,
        0.0679623,
        0.0683588,
        0.0684912,
        0.0682832,
        0.0679514,
        0.0677561,
        0.067344,
        0.0681069,
        0.0687352,
        0.0681053,
        0.0679916,
        0.0690721,
        0.0690525,
        0.0748491,
        0.0731199,
        0.071478,
        0.0788503,
        0.0816654,
        0.0725082,
        0.0734001,
        0.0738275,
        0.0750401,
        0.075496,
        0.0766433,
        0.0740392,
        0.0782189,
        0.078683,
        0.0727509,
        0.0729205,
        0.0734586,
        0.073435,
        0.0774879,
        0.0752318,
        0.0723428,
        0.0773569,
        0.0763919,
        0.0724082,
        0.0719823,
        0.072509,
        0.0725695,
        0.0732744,
        0.0733493,
        0.0722819,
        0.0734592,
        0.0715641,
        0.0730723,
        0.0723097,
        0.0728033,
        0.0726485,
        0.0744361,
        0.0731604,
        0.0738252,
        0.0739813,
        0.0749798,
        0.075649,
        0.0773382,
        0.0752032,
        0.0755501,
        0.0748976,
        0.0719825,
        0.0722563,
        0.0719799,
        0.0713121,
        0.072347,
        0.0708599,
        0.0699515,
        0.0687807,
        0.0694322,
        0.0704242,
        0.0710557,
        0.0748583,
        0.0760679,
        0.0708398,
        0.0709781,
        0.0722891,
        0.0725701,
        0.0749528,
        0.0777189,
        0.0816274,
        0.0895046,
        0.100492,
        0.115346,
        0.132014,
        0.131992,
        0.135596,
        0.130897,
        0.114838,
        0.104639,
        0.107443,
        0.0989604,
        0.0848532,
        0.083301,
        0.0781518,
        0.0783151,
        0.0758659,
        0.0744495,
        0.0741996,
        0.0750532,
        0.0735589,
        0.074751,
        0.0744316,
        0.0741673,
        0.0752001,
        0.0750182,
        0.0750168,
        0.075249,
        0.0743371,
        0.0755663,
        0.0758407,
        0.0757915,
        0.0762273,
        0.0779666,
        0.0784411,
        0.0814817,
        0.0837701,
        0.0857012,
        0.0851901,
        0.0858508,
        0.0836979,
        0.0822156,
        0.0800183,
        0.0792368,
        0.0782873,
        0.0759526,
        0.0763,
        0.0747647,
        0.0744583,
        0.0746904,
        0.0751628,
        0.0756317,
        0.0740359,
        0.0741501,
        0.0735195,
        0.0742542,
        0.0745267,
        0.0764727,
        0.0820971,
        0.0808333,
        0.0801548,
        0.0821732,
        0.0847076,
        0.0869428,
        0.106486,
        0.11286,
        0.108122,
        0.109242,
        0.111721,
        0.116307,
        0.110498,
        0.0974475,
        0.0915522,
        0.0878834,
        0.0861911,
        0.0840721,
        0.0822178,
        0.0799912,
        0.0800991,
        0.0809311,
        0.078778,
        0.0785165,
        0.081032,
        0.0802992,
        0.0785163,
        0.0788717,
        0.0810468,
        0.0802601,
        0.0810932,
        0.0833603,
        0.0862089,
        0.0883501,
        0.0918372,
        0.0973253,
        0.0988926,
        0.102766,
        0.100822,
        0.0975121,
        0.091259,
        0.0891911,
        0.0884909,
        0.0867881,
        0.0866848,
        0.0830012,
        0.0799536,
        0.0848624,
        0.0846601,
        0.0792577,
        0.0827877,
        0.0821523,
        0.0797342,
        0.0794335,
        0.0804136,
        0.0812989,
        0.0800064,
        0.0835296,
        0.0863334,
        0.0870498,
        0.0919962,
        0.0969934,
        0.106162,
        0.108809,
        0.107418,
        0.105045,
        0.100864,
        0.0940273,
        0.0912421,
        0.0899889,
        0.0867255,
        0.0844868,
        0.0837746,
        0.0834174,
        0.0852647,
        0.0857783,
        0.082773,
        0.0824418,
        0.0826896,
        0.0845736,
        0.0851735,
        0.0851232,
        0.0876951,
        0.0902431,
        0.100549,
        0.103433,
        0.110443,
        0.119436,
        0.126906,
        0.135357,
        0.130264,
        0.132122,
        0.126546,
        0.104927,
        0.100621,
        0.0982539,
        0.0973889,
        0.0980787,
        0.0944756,
        0.0955947,
        0.0971096,
        0.0937934,
        0.093403,
        0.0934973,
        0.0954912,
        0.0983298,
        0.0989523,
        0.10339,
        0.112746,
        0.120593,
        0.12978,
        0.137265,
        0.145198,
        0.14554,
        0.137609,
        0.130354,
        0.121056,
        0.115381,
        0.108482,
        0.104936,
        0.10407,
        0.105052,
        0.101838,
        0.0979692,
        0.100914,
        0.100284,
        0.0997354,
        0.102528,
        0.104345,
        0.109459,
        0.115635,
        0.121946,
        0.131052,
        0.145174,
        0.162397,
        0.190762,
        0.195554,
        0.166765,
        0.153584,
        0.142005,
        0.132287,
        0.12562,
        0.12312,
        0.117686,
        0.117629,
        0.117952,
        0.119032,
        0.121556,
        0.122875,
        0.124272,
        0.130422,
        0.140147,
        0.151241,
        0.164935,
        0.182714,
        0.209766,
        0.23296,
        0.240654,
        0.225423,
        0.210704,
        0.202892,
        0.178703,
        0.169712,
        0.166927,
        0.162072,
        0.162138,
        0.166399,
        0.165016,
        0.172495,
        0.175509,
        0.184391,
        0.194692,
        0.208563,
        0.228201,
        0.26914,
        0.294825,
        0.341271,
        0.3009,
        0.287846,
        0.288109,
        0.268456,
        0.273541,
        0.298887,
        0.281178,
        0.283613,
        0.334111,
        null,
        0.30068,
        0.250832,
        0.217995,
        0.202184,
        0.189437,
        0.190316,
        0.186814,
        0.194225,
        0.209089,
        0.223011,
        0.227312,
        0.230234,
        0.217819,
        0.208603,
        0.18666,
        0.166465,
        0.152283,
        0.147929,
        0.136623,
        0.12654,
        0.120409,
        0.114796,
        0.113588,
        0.111829,
        0.111018,
        0.114254,
        0.113918,
        0.109723,
        0.110489,
        0.109659,
        0.111844,
        0.129011,
        0.131682,
        0.123298,
        0.126289,
        0.132863,
        0.139627,
        0.155531,
        0.171121,
        0.181794,
        0.209812,
        0.242291,
        0.283411,
        0.33709,
        0.381699,
        0.334989,
        0.280082,
        0.229391,
        0.198146,
        0.171331,
        0.157088,
        0.147225,
        0.134141,
        0.124808,
        0.116648,
        0.116441,
        0.11099,
        0.109229,
        0.104976,
        0.102644,
        0.102244,
        0.0981967,
        0.0972619,
        0.0980366,
        0.103849,
        0.0977622,
        0.0923633,
        0.0912298,
        0.0903458,
        0.0887034,
        0.08881,
        0.0874706,
        0.0855007,
        0.0871146,
        0.0873312,
        0.0875278,
        0.0839666,
        0.0841661,
        0.085244,
        0.0850003,
        0.082621,
        0.0829288,
        0.0815892,
        0.0808141,
        0.0805973,
        0.0809226,
        0.0812277,
        0.0803513,
        0.0781136,
        0.0783007,
        0.0784089,
        0.0782749,
        0.0797651,
        0.0788254,
        0.0787747,
        0.0776129,
        0.0780102,
        0.0796072,
        0.0777103,
        0.0777471,
        0.0788456,
        0.0767635,
        0.0768968,
        0.0778315,
        0.0776721,
        0.0762472,
        0.0774598,
        0.0780051,
        0.0781023,
        0.0777532,
        0.0778598,
        0.0772806,
        0.0776089,
        0.0795691,
        0.0810986,
        0.0791215,
        0.0784728,
        0.0793315,
        0.0774415,
        0.0775485,
        0.0776717,
        0.0771927,
        0.0776735,
        0.0780506,
        0.0795552,
        0.0796525,
        0.0797732,
        0.0791027,
        0.0797339,
        0.0798747,
        0.0787881,
        0.0786812,
        0.0785302,
        0.0792068,
        0.0785075,
        0.0792478,
        0.0799104,
        0.0801589,
        0.0799827,
        0.0891932,
        0.0876329,
        0.0779354,
        0.0783997,
        0.0773107,
        0.0764599,
        0.0776998,
        0.0789955,
        0.0801069,
        0.0777971,
        0.0849747,
        0.0852372,
        0.076529,
        0.0768831,
        0.0779772,
        0.0766152,
        0.075854,
        0.0778722,
        0.0865954,
        0.0880003,
        0.0828042,
        0.0782648,
        0.0748704,
        0.0753188,
        0.0856972,
        0.0875364,
        0.0756871,
        0.0762685,
        0.0747074,
        0.0744666,
        0.0747543,
        0.0750443,
        0.0865133,
        0.0872275,
        0.075204,
        0.076459,
        0.0757049,
        0.0758872,
        0.0767051,
        0.0774654,
        0.0784786,
        0.0842457,
        0.0848056,
        0.0786476,
        0.0798864,
        0.0809776,
        0.0812264,
        0.080305,
        0.0794117,
        0.0802262,
        0.0812247,
        0.0816617,
        0.0826274,
        0.0842055,
        0.0864155,
        0.0881371,
        0.0889637,
        0.0891926,
        0.0886068,
        0.0890264,
        0.0878905,
        0.0883022,
        0.0881194,
        0.0846071,
        0.0841817,
        0.0850705,
        0.0839502,
        0.0836024,
        0.0841571,
        0.0837754,
        0.0837135,
        0.0839869,
        0.0822956,
        0.0827326,
        0.0819407,
        0.081901,
        0.0827302,
        0.0838122,
        0.0836062,
        0.0848593,
        0.0846962,
        0.0857617,
        0.0867423,
        0.0873182,
        0.0880192,
        0.0888419,
        0.0898731,
        0.0877884,
        0.0860907,
        0.086109,
        0.0853467,
        0.0844532,
        0.082635,
        0.0824369,
        0.0822319,
        0.0809549,
        0.0811723,
        0.087501,
        0.0869973,
        0.079662,
        0.0801607,
        0.0807158,
        0.0809592,
        0.0802984,
        0.0807035,
        0.0815808,
        0.0806182,
        0.0801035,
        0.0799628,
        0.0788201,
        0.0797361,
        0.081207,
        0.07977,
        0.0796953,
        0.0792475,
        0.0804241,
        0.0840215,
        0.0807936,
        0.0812293,
        0.0814764,
        0.083796,
        0.0845369,
        0.0825584,
        0.0812669,
        0.0797637,
        0.0811362,
        0.0821147,
        0.083315,
        0.0822294,
        0.0837911,
        0.0824742,
        0.0834289,
        0.0832495,
        0.0828837,
        0.0828851,
        0.0882583,
        0.0890122,
        0.083727,
        0.0821474,
        0.082267,
        0.0844085,
        0.082879,
        0.0828972,
        0.0831316,
        0.0822954,
        0.0819481,
        0.0811342,
        0.0815139,
        0.0830362,
        0.0824144,
        0.0811019,
        0.0803631,
        0.0805146,
        0.08104,
        0.0801303,
        0.081721,
        0.0816776,
        0.0805866,
        0.0799957,
        0.0873572,
        0.0837442,
        0.0793632,
        0.0791262,
        0.0794686,
        0.0792617,
        0.0788969,
        0.0786365,
        0.0808694,
        0.0819229,
        0.0814956,
        0.0811406,
        0.0799607,
        0.0801822,
        0.0814535,
        0.081228,
        0.0840122,
        0.0955104,
        0.0880655,
        0.082209,
        0.0824688,
        0.0841729,
        0.0864083,
        0.0830977,
        0.082297,
        0.0815072,
        0.0840417,
        0.0872582,
        0.0843352,
        0.0825345,
        0.0827045,
        0.0837938,
        0.0925143,
        0.0942822,
        0.0861678,
        0.085348,
        0.0831615,
        0.0840372,
        0.0856942,
        0.0847336,
        0.102591,
        0.0948559,
        0.0873613,
        0.0861094,
        0.0954599,
        0.0956078,
        0.0844425,
        0.0848543,
        0.0858309,
        0.0838236,
        0.0843023,
        0.0863513,
        0.0867163,
        0.0866229,
        0.087649,
        0.0873612,
        0.0871672,
        0.085613,
        0.0953801,
        0.0932295,
        0.0860981,
        0.0863279,
        0.0857763,
        0.084181,
        0.0847569,
        0.0843901,
        0.083657,
        0.082381,
        0.0831677,
        0.0837239,
        0.0861754,
        0.086295,
        0.0835106,
        0.084668,
        0.0842775,
        0.0829718,
        0.0833898,
        0.0838809,
        0.0886237,
        0.0930059,
        0.0882911,
        0.0837572,
        0.0839985,
        0.0834296,
        0.0848815,
        0.0921328,
        0.0886135,
        0.087513,
        0.0876652,
        0.0860736,
        0.0876477,
        0.0891786,
        0.0900425,
        0.0911079,
        0.0904762,
        0.0911045,
        0.0942547,
        0.0945625,
        0.0984112,
        0.0988589,
        0.104261,
        0.108103,
        0.116897,
        0.122159,
        0.129665,
        0.136156,
        0.132613,
        0.12815,
        0.122824,
        0.115059,
        0.107675,
        0.10537,
        0.101703,
        0.0996635,
        0.100323,
        0.100287,
        0.0977856,
        0.0950162,
        0.0944352,
        0.0963254,
        0.0944734,
        0.0928585,
        0.0925038,
        0.0923925,
        0.092179,
        0.0916944,
        0.0913414,
        0.090896,
        0.0904192,
        0.0911875,
        0.0913404,
        0.0910009,
        0.0904743,
        0.090175,
        0.0888943,
        0.089796,
        0.0919059,
        0.0925478,
        0.0901581,
        0.0896571,
        0.0887785,
        0.0900087,
        0.0870365,
        0.0868877,
        0.0878236,
        0.087742,
        0.0876227,
        0.0879408,
        0.0873067,
        0.0873954,
        0.089078,
        0.0885026,
        0.0900979,
        0.0894055,
        0.0894038,
        0.0881614,
        0.0894141,
        0.0885247,
        0.0889703,
        0.0878676,
        0.0896531,
        0.0906393,
        0.0892139,
        0.108079,
        0.102053,
        0.0905756,
        0.0932587,
        0.0920956,
        0.090766,
        0.0908033,
        0.0918687,
        0.0907941,
        0.0929928,
        0.0938098,
        0.094297,
        0.0938655,
        0.0935568,
        0.0926492,
        0.093436,
        0.0947949,
        0.0948892,
        0.0953445,
        0.093459,
        0.0928863,
        0.0947081,
        0.11105,
        0.11311,
        0.0971598,
        0.112605,
        0.109524,
        0.0942969,
        0.0949531,
        0.094944,
        0.0947874,
        0.0944651,
        0.0939419,
        0.0942565,
        0.0938218,
        0.0945338,
        0.094252,
        0.0945924,
        0.0956492,
        0.0934584,
        0.0936103,
        0.0932932,
        0.0965245,
        0.0943777,
        0.0935977,
        0.0930104,
        0.092599,
        0.0924948,
        0.0910327,
        0.102094,
        0.104915,
        0.0934769,
        0.0904641,
        0.0913032,
        0.0919885,
        0.0928993,
        0.092149,
        0.0921679,
        0.093424,
        0.0923973,
        0.0932117,
        0.0943649,
        0.0936785,
        0.0935378,
        0.0932156,
        0.0940088,
        0.0936097,
        0.0937221,
        0.0942216,
        0.0929769,
        0.0918119,
        0.0919338,
        0.0936567,
        0.0953402,
        0.0943995,
        0.0941612,
        0.0950683,
        0.0967471,
        0.095001,
        0.0959379,
        0.097221,
        0.0978475,
        0.0985035,
        0.0990817,
        0.0986321,
        0.0977911,
        0.0980811,
        0.0987605,
        0.100613,
        0.100386,
        0.100125,
        0.101115,
        0.103941,
        0.107,
        0.0996885,
        0.10307,
        0.105243,
        0.102573,
        0.104007,
        0.103384,
        0.100995,
        0.10095,
        0.0996798,
        0.101857,
        0.10178,
        0.101515,
        0.100721,
        0.100934,
        0.101597,
        0.100853,
        0.100219,
        0.101324,
        0.10719,
        0.106012,
        0.101049,
        0.102123,
        0.101616,
        0.101422,
        0.102032,
        0.104621,
        0.104497,
        0.105006,
        0.103895,
        0.105626,
        0.108947,
        0.110792,
        0.110792,
        0.109835,
        0.110236,
        0.111989,
        0.114148,
        0.113838,
        0.119007,
        0.124628,
        0.129735,
        0.13293,
        0.142448,
        0.151516,
        0.164939,
        0.181927,
        0.21041,
        0.236311,
        0.273122,
        0.344093,
        0.356055,
        0.355543,
        0.333415,
        0.304101,
        0.285004,
        0.254388,
        0.218773,
        0.192486,
        0.179266,
        0.164109,
        0.15672,
        0.144751,
        0.141183,
        0.136678,
        0.133224,
        0.130772,
        0.12764,
        0.12841,
        0.124895,
        0.122301,
        0.121942,
        0.122264,
        0.120853,
        0.121211,
        0.121604,
        0.116933,
        0.115562,
        0.118196,
        0.11415,
        0.116425,
        0.114503,
        0.118454,
        0.116351,
        0.112293,
        0.115709,
        0.1159,
        0.112452,
        0.112318,
        0.116574,
        0.116485,
        0.117166,
        0.115221,
        0.114881,
        0.113109,
        0.109472,
        0.111546,
        0.113973,
        0.112223,
        0.110282,
        0.11117,
        0.133247,
        0.133194,
        0.115095,
        0.111535,
        0.13644,
        0.136147,
        0.112376,
        0.10964,
        0.108173,
        0.111085,
        0.10938,
        0.108655,
        0.109345,
        0.111799,
        0.112107,
        0.11179,
        0.111896,
        0.111411,
        0.111548,
        0.112523,
        0.114547,
        0.115312,
        0.112749,
        0.114651,
        0.113704,
        0.11381,
        0.1154,
        0.114944,
        0.115684,
        0.114887,
        0.114379,
        0.118129,
        0.115379,
        0.114972,
        0.115769,
        0.115993,
        0.116855,
        0.120196,
        0.11932,
        0.119888,
        0.120429,
        0.119849,
        0.12036,
        0.136279,
        0.129093,
        0.118554,
        0.121191,
        0.122809,
        0.12202,
        0.117594,
        0.117965,
        0.138762,
        0.147891,
        0.118249,
        0.121436,
        0.119148,
        0.118729,
        0.132973,
        0.133119,
        0.119918,
        0.119929,
        0.120017,
        0.118902,
        0.118646,
        0.119119,
        0.121176,
        0.11817,
        0.118469,
        0.117513,
        0.121257,
        0.119524,
        0.117972,
        0.122698,
        0.122382,
        0.120716,
        0.122677,
        0.125803,
        0.127913,
        0.127902,
        0.129949,
        0.129696,
        0.129549,
        0.13122,
        0.133173,
        0.138072,
        0.138129,
        0.143269,
        0.144264,
        null,
        0.443931,
        0.432178,
        0.38353,
        0.402851,
        0.376191,
        0.386005,
        0.371992,
        0.36301,
        0.361099,
        0.317302,
        0.328223,
        0.332215,
        0.345895,
        0.34261,
        0.304262,
        0.33226,
        0.315733,
        0.346003,
        0.30424,
        0.292722,
        0.30323,
        0.321587,
        0.284283,
        0.300353,
        0.289692,
        0.295876,
        0.302897,
        0.312205,
        0.291247,
        0.276308,
        0.286093,
        0.286112,
        0.28419,
        0.272122,
        0.289335,
        0.272856,
        0.276362,
        0.272586,
        0.25327,
        0.269325,
        0.26556,
        0.263566,
        0.26226,
        0.251112,
        0.245278,
        0.249892,
        0.256465,
        0.251859,
        0.253038,
        0.245564,
        0.251347,
        0.250814,
        0.239024,
        0.246892,
        0.244154,
        0.242965,
        0.237393,
        0.23705,
        0.245076,
        0.257783,
        0.245564,
        0.248448,
        0.253106,
        0.245285,
        0.276186,
        0.292325,
        0.318785,
        0.314909,
        0.363727,
        0.345888,
        0.324578,
        0.303679,
        0.282203,
        0.271276,
        0.252926,
        0.251052,
        0.260804,
        0.247275,
        0.241461,
        0.247096,
        0.237302,
        0.236761,
        0.225942,
        0.249455,
        0.254366,
        0.234216,
        0.233038,
        0.219979,
        0.216503,
        0.213426,
        0.238486,
        0.238414,
        0.24389,
        0.241567,
        0.223458,
        0.223555,
        0.221517,
        0.215126,
        0.218903,
        0.216987,
        0.222444,
        0.216632,
        0.223446,
        0.217699,
        0.217666,
        0.221001,
        0.214364,
        0.211502,
        0.22739,
        0.214943,
        0.212541,
        0.214844,
        0.223734,
        0.218099,
        0.215361,
        0.21345,
        0.218272,
        0.219895,
        0.224683,
        0.222407,
        0.2227,
        0.22234,
        0.230964,
        0.220719,
        0.228374,
        0.223211,
        0.221311,
        0.223152,
        0.227537,
        0.230452,
        0.221319,
        0.218921,
        0.218754,
        0.233596,
        0.232873,
        0.226802,
        0.223286,
        0.239098,
        0.248152,
        0.237799,
        0.247538,
        0.260547,
        0.258634,
        0.25362,
        0.253508,
        0.25739,
        0.26808,
        0.280921,
        0.277855,
        0.283724,
        0.289412,
        0.291602,
        0.380551,
        0.354599,
        0.364891,
        0.316296,
        0.326549,
        0.361067,
        0.350187,
        0.289318,
        0.283271,
        0.281072,
        0.290262,
        0.298554,
        0.293272,
        0.301828,
        0.325747,
        0.343787,
        0.280168,
        0.288098,
        0.288529,
        0.292752,
        0.317344,
        0.312106,
        0.310722,
        0.324683,
        0.315206,
        0.291393,
        0.321101,
        0.349447,
        0.360836,
        0.371944,
        0.369802,
        0.37039,
        0.422953,
        0.610574,
        0.551014,
        null,
        0.462422,
        0.403174,
        0.399282,
        0.404339,
        0.393622,
        0.38097,
        0.385404,
        0.389855,
        0.382904,
        0.362152,
        0.368911,
        0.336225,
        0.332361,
        0.334442,
        0.340223,
        0.34957,
        0.340621,
        0.322504,
        0.332367,
        0.325525,
        0.333718,
        0.338323,
        0.320446,
        0.312033,
        0.315291,
        0.316286,
        0.319441,
        0.314844,
        0.305559,
        0.292396,
        0.290747,
        0.29088,
        0.296676,
        0.287692,
        0.265287,
        0.270476,
        0.28576,
        0.273998,
        0.278973,
        0.280371,
        0.271052,
        0.26697,
        0.2767,
        0.261462,
        0.259161,
        0.258951,
        0.266555,
        0.266165,
        0.269898,
        0.257092,
        0.261582,
        0.258475,
        0.258627,
        0.256323,
        0.250465,
        0.254411,
        0.24657,
        0.248437,
        0.299193,
        0.290032,
        0.253431,
        0.244568,
        0.247428,
        0.234201,
        0.245773,
        0.255079,
        0.245022,
        0.240497,
        0.241645,
        0.241232,
        0.242589,
        0.267653,
        0.265452,
        0.238058,
        0.237177,
        0.235467,
        0.240904,
        0.228586,
        0.221948,
        0.239808,
        0.235059,
        0.242858,
        0.242236,
        0.222363,
        0.2185,
        0.212616,
        0.209821,
        0.214412,
        0.217229,
        0.228503,
        0.225215,
        0.214382,
        0.216802,
        0.222177,
        0.213378,
        0.214893,
        0.218168,
        0.217284,
        0.204929,
        0.211106,
        0.221318,
        0.2224,
        0.217107,
        0.225448,
        0.221337,
        0.2268,
        0.239246,
        0.243959,
        0.250809,
        0.256725,
        0.292093,
        0.308445,
        0.335356,
        0.468861,
        0.384089,
        0.337993,
        0.303316,
        0.281971,
        0.264002,
        0.256866,
        0.245473,
        0.22789,
        0.215947,
        0.217293,
        0.207311,
        0.206134,
        0.2016,
        0.203831,
        0.200233,
        0.206397,
        0.203913,
        0.197118,
        0.197959,
        0.195651,
        0.186034,
        0.188632,
        0.189066,
        0.192396,
        0.194381,
        0.208904,
        0.228955,
        0.250668,
        0.265003,
        0.294962,
        0.275979,
        0.249712,
        0.237385,
        0.220217,
        0.242851,
        0.277211,
        0.330469,
        0.393217,
        0.470275,
        0.37958,
        0.300045,
        0.256465,
        0.241006,
        0.199418,
        0.184048,
        0.173377,
        0.172389,
        0.171561,
        0.170069,
        0.16698,
        0.164821,
        0.167133,
        0.16822,
        0.167067,
        0.165096,
        0.162147,
        0.158836,
        0.157712,
        0.158826,
        0.162548,
        0.160098,
        0.161291,
        0.160184,
        0.151169,
        0.158894,
        0.160513,
        0.15822,
        0.157762,
        0.160451,
        0.161111,
        0.156749,
        0.157462,
        0.157106,
        0.161279,
        0.160811,
        0.155494,
        0.160994,
        0.158255,
        0.185324,
        0.19033,
        0.16379,
        0.162553,
        0.161365,
        0.15937,
        0.160126,
        0.161284,
        0.158079,
        0.160114,
        0.160704,
        0.161966,
        0.16257,
        0.163004,
        0.160037,
        0.159852,
        0.158862,
        0.158227,
        0.159402,
        0.157192,
        0.159133,
        0.160169,
        0.165302,
        0.168856,
        0.174087,
        0.178212,
        0.18013,
        0.19468,
        0.202337,
        0.212522,
        0.234339,
        0.264357,
        0.34426,
        0.380501,
        0.321664,
        0.287095,
        0.245596,
        0.214327,
        0.19635,
        0.194406,
        0.181172,
        0.181883,
        0.18276,
        0.170828,
        0.169997,
        0.173825,
        0.173641,
        0.161738,
        0.159424,
        0.177104,
        0.183246,
        0.156362,
        0.15392,
        0.154241,
        0.152147,
        0.155846,
        0.153054,
        0.152734,
        0.152489,
        0.152913,
        0.153825,
        0.157637,
        0.159027,
        0.161278,
        0.156348,
        0.15401,
        0.154482,
        0.151358,
        0.149644,
        0.151859,
        0.157505,
        0.154136,
        0.152003,
        0.156844,
        0.159224,
        0.155253,
        0.156963,
        0.161132,
        0.157846,
        0.177108,
        0.172311,
        0.169038,
        0.169998,
        0.169932,
        0.178586,
        0.188655,
        0.196022,
        0.202549,
        0.221145,
        0.240135,
        0.264924,
        0.305602,
        0.346137,
        0.420841,
        0.472841,
        0.504807,
        0.493184,
        0.38927,
        0.3674,
        0.308693,
        0.282705,
        0.26029,
        0.234439,
        0.220928,
        0.211159,
        0.193241,
        0.187644,
        0.184937,
        0.175497,
        0.172602,
        0.16996,
        0.162148,
        0.159839,
        0.155552,
        0.158575,
        0.157006,
        0.153319,
        0.153356,
        0.151211,
        0.15065,
        0.147353,
        0.14602,
        0.146586,
        0.146661,
        0.147485,
        0.142008,
        0.14477,
        0.143221,
        0.14496,
        0.139119,
        0.136314,
        0.134974,
        0.13471,
        0.134325,
        0.135348,
        0.136768,
        0.138573,
        0.136402,
        0.134582,
        0.134767,
        0.134471,
        0.132169,
        0.133022,
        0.130419,
        0.132979,
        0.135621,
        0.132494,
        0.138471,
        0.137511,
        0.12781,
        0.12975,
        0.134212,
        0.131705,
        0.131865,
        0.133149,
        0.134844,
        0.146531,
        0.147858,
        0.1313,
        0.131655,
        0.13649,
        0.138036,
        0.137966,
        0.137114,
        0.135532,
        0.137068,
        0.141302,
        0.137154,
        0.135024,
        0.137543,
        0.137479,
        0.137551,
        0.136982,
        0.138389,
        0.136236,
        0.140086,
        0.141425,
        0.136815,
        0.138032,
        0.138892,
        0.137934,
        0.140259,
        0.13908,
        0.138064,
        0.136605,
        0.138387,
        0.13611,
        0.134108,
        0.13699,
        0.137517,
        0.137124,
        0.135129,
        0.136271,
        0.135175,
        0.1332,
        0.135244,
        0.134212,
        0.132458,
        0.136434,
        0.136922,
        0.139053,
        0.136192,
        0.133438,
        0.132059,
        0.131276,
        0.131966,
        0.143339,
        0.140408,
        0.137562,
        0.134686,
        0.131837,
        0.135781,
        0.137517,
        0.131471,
        0.131726,
        0.135732,
        0.136397,
        0.132989,
        0.136052,
        0.133933,
        0.133785,
        0.142188,
        0.141856,
        0.135344,
        0.138455,
        0.142303,
        0.142828,
        0.139907,
        0.140061,
        0.144291,
        0.141921,
        0.141218,
        0.141683,
        0.150695,
        0.180521,
        0.163113,
        0.145902,
        0.14471,
        0.144723,
        0.146925,
        0.150108,
        0.149318,
        0.14873,
        0.152409,
        0.153169,
        0.173106,
        0.171845,
        0.150805,
        0.153381,
        0.154266,
        0.157385,
        0.155824,
        0.159654,
        0.158454,
        0.1618,
        0.163314,
        0.204108,
        0.212562,
        0.185257,
        0.184733,
        0.193583,
        0.203288,
        0.221391,
        0.230281,
        0.262856,
        0.286848,
        0.304207,
        0.366713,
        0.386771,
        0.328712,
        0.286611,
        0.263909,
        0.263517,
        0.226013,
        0.201816,
        0.204475,
        0.191734,
        0.18829,
        0.184237,
        0.179892,
        0.170354,
        0.1677,
        0.167612,
        0.170198,
        0.162132,
        0.165873,
        0.162636,
        0.159845,
        0.160033,
        0.161053,
        0.158671,
        0.169986,
        0.174939,
        0.157531,
        0.155325,
        0.157176,
        0.155888,
        0.156312,
        0.157838,
        0.159597,
        0.159197,
        0.156953,
        0.161694,
        0.157668,
        0.161733,
        0.160884,
        0.161531,
        0.159559,
        0.158647,
        0.160273,
        0.163907,
        0.161003,
        0.15672,
        0.15932,
        0.175991,
        0.1826,
        0.162704,
        0.158987,
        0.158875,
        0.156614,
        0.15852,
        0.16103,
        0.161671,
        0.159971,
        0.15811,
        0.15925,
        0.161434,
        0.161832,
        0.165268,
        0.167786,
        0.168294,
        0.167127,
        0.16171,
        0.169512,
        0.173707,
        0.173181,
        0.173784,
        0.172657,
        0.179617,
        0.179745,
        0.184663,
        0.191812,
        0.199569,
        0.205841,
        0.22251,
        0.230352,
        0.239757,
        0.276532,
        0.276011,
        0.276746,
        0.259438,
        0.251945,
        0.240882,
        0.239011,
        0.23174,
        0.216752,
        0.211832,
        0.205587,
        0.196676,
        0.196234,
        0.196802,
        0.200683,
        0.198296,
        0.191511,
        0.191173,
        0.201332,
        0.190799,
        0.186085,
        0.203823,
        0.192899,
        0.185141,
        0.187811,
        0.190649,
        0.194143,
        0.194021,
        0.196678,
        0.197069,
        0.193368,
        0.195847,
        0.191467,
        0.193191,
        0.192129,
        0.198718,
        0.200056,
        0.193731,
        0.193146,
        0.195856,
        0.198946,
        0.20101,
        0.198416,
        0.202068,
        0.207571,
        0.201408,
        0.198937,
        0.202521,
        0.211531,
        0.206994,
        0.206234,
        0.198997,
        0.198821,
        0.199867,
        0.207602,
        0.208771,
        0.201257,
        0.206391,
        0.212189,
        0.2079,
        0.213644,
        0.207167,
        0.216517,
        0.212298,
        0.213431,
        0.222849,
        0.214673,
        0.214088,
        0.217624,
        0.217735,
        0.214468,
        0.219791,
        0.23118,
        0.238307,
        0.237342,
        0.236387,
        0.245615,
        0.238043,
        0.232301,
        0.244321,
        0.24319,
        0.246175,
        0.242403,
        0.241188,
        0.253889,
        0.253994,
        0.258349,
        0.261221,
        0.259553,
        0.27934,
        0.284902,
        0.288551,
        0.298376,
        0.291059,
        0.300908,
        0.301692,
        0.280075,
        0.29513,
        0.316978,
        0.320293,
        0.327503,
        0.332012,
        0.34316,
        0.384475,
        0.375125,
        0.391765,
        0.456955,
        0.45492,
        0.443176,
        0.450268,
        0.434958,
        0.429655,
        null,
        0.47476,
        0.475208,
        0.477726,
        0.467844
    ]
}