{"id":"CVE-2021-43610","details":"Belledonne Belle-sip before 5.0.20 can crash applications such as Linphone via an invalid From header (request URI without a parameter) in an unauthenticated SIP message, a different issue than CVE-2021-33056.","modified":"2026-04-11T18:45:40.209732Z","published":"2021-11-12T22:15:08.667Z","references":[{"type":"FIX","url":"https://github.com/BelledonneCommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d"},{"type":"FIX","url":"https://github.com/BelledonneCommunications/belle-sip/compare/5.0.18...5.0.20"}],"affected":[{"ranges":[{"type":"GIT","repo":"https://github.com/belledonnecommunications/belle-sip","events":[{"introduced":"0"},{"fixed":"d3f0651531e45e91c2e60f3a16a8b612802e5d2d"}],"database_specific":{"versions":[{"introduced":"0"},{"fixed":"5.0.20"}]}}],"versions":["1.3.0","1.3.3","1.4.0","1.4.1","1.6.2","1.6.3","4.4.0-alpha","4.5.0-alpha","5.0.0","5.0.0-alpha","5.0.0-beta","5.0.11","5.0.12","5.0.13","5.0.15","5.0.16","5.0.18","5.0.3","5.0.5","5.0.8"],"database_specific":{"vanir_signatures":[{"signature_version":"v1","signature_type":"Line","digest":{"threshold":0.9,"line_hashes":["54178293746370298738781507072320067608","190457071765210292950747734847749670851","158340613715203486815505114540168055579","15622252580818086275737090853263092450","245300251757660523327817803538495889799","33339854146458912242569020870321717448","236652418594918829056922727012370482577","146654256206519955167874719444294074834"]},"deprecated":false,"id":"CVE-2021-43610-0024c770","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"file":"src/belle_sip_utils.c"}},{"signature_version":"v1","signature_type":"Line","digest":{"threshold":0.9,"line_hashes":["130318146992521920394964540753979395360","36000167617821675822107248794934885454","69096750386188037573347325239307498096","90098930836151592178257215369816489880","62752909132718754712472511943297771278","194614989071870094998824134661833029858","172007101176592612975716782620769813000","104064268945922961069354698357920791886","115047858354299427465861549432330998754","37031320892924025881616710727357346020","158441192842323333687310173701444552374","146431238021898157284934564403582584999","185155698317182273340279445217698038872","60224728320676389541733950291011729244","203650731224318593213543684407599224095","266869829274905631978754595173564774881","278875158052683708707953285978015404008","319848081468671348211878715718948301747","77676465292059313410142624394381209673","98835751540218940558407239105919061516","339037238724247849704363689545675830173","163247370034747439882219123742929681659","324616431915171637699659519517038357253","72108838743129814981835679159942537290","37654996823679409001389398745537457744","300919727308465114027642398580366054655","143224291594049578873036433653202569693","35845542704172101094771997274480160490","25281417978177161063021653573518496217","305436878019633550140453712676419858124","131561517772245201900396704300360593855","277673474587164614706750420080925398085","339914593514611573746363928815718891214","57087556465082448821655728635680938141","119427939545509982610418318568171093698","296706994950793487167352273671886696080","79264114608234702229018884906144137937","158839132349453356262440643473144764799","117078637172372025587242574461721436342","339033829366430952875098398984868196396","205466432369906227200692944760881028054","270467105532406508517654778519327167481","331125118099178152548328310558382039928","166708267652683570197403639423400180445","86142608119294621109674064995515350837","298149234244115382399552342579454601698","204440768719330804576906945880043108197","34967943577746110523406154467929422065","237848387196087565667313896032744782394","337375481314126913537227161019770785564","66057204786118030121598772245572628925","106371360217743033477125676195331336944","164387008455504189474132525028855585050","325134097476115527451633015631438462840","139766845296850879898676798438856595842","297006460191202047353306210762881026253","14875848996209961026505035425775892099","92659225674000102398616388926367863127","127684579163568330609690339656551763967","135224572127273932515048065521152028818","163857289409288406086661755444869091023","90313345610868097849270487109967723076","168321978214628312989493119694742259788","219375892113573511870315291701298525953","207863254642669003691702995934319134108","338727776573811831747106643988298591321","43860257466181780401343713821872786203","221198298061843232297025161962675141660","84969300815485276442525917057570627854","76470598951953374593277207294856076771","318426387873568865573339073428684546627","55584612127718926216571688036589899626","129915909889121926098101352061020433275","140902712542860358345284247931009166083","176921319981660573517061750453732527377","165193761158230604006672616460765297729","277417252651011856268470670682866144363","284571854522121825858406849975224179509","186898219114589333391457535715006674394","68945390750855205015929225721756948405","305540843731410763960510791322101873023","67338708080314006862493118853609768895","26568742258313612301766848703506968239","290173218658236328507197430677203828316","220171520948037866429465865270919710900","212202697500155545608555529808294390968","63471288997755578285085376502369574878","81245192332806592355435077252867724360","191993430030209432452070952048925437043","43589175439152406164130851202832150640","235081624862762215353226074812402040629","326294560632249495032883139447084229845","91619490113638662093915736584400972788","289022746402548505979471429419343770252","259921189667588383601604589679888989351","36745125916171378089972571008277504081","4046928620306865254695595062860435626","203178050386640451756619382109554838167","340096770054694277391422339935688511306","141824537733538783828159322583201460618","329386499676591922986396888754455642069","78890220243187479486290508001817247480","38805700052437312215334505329671717150","171350367870091092600989662206348768135","324817605863876817378348855468947829392","322476563044049150690730518556698763621","184797626827017772332778204308236298378","167929733943784657672355112405811915556","118001597813493637682206160118757470596","180796520432616754698984429361192009870","289098520783791093500034185075893603270","171709508721058023645755153286005229325","296108473168286832368479971139512029071","269036728959941670925802889495454058850","50659364358383190007066023881863523132","338575864578386914656141887629069536629","144619529698205608903866581820927431547","280016345682163795260179720200392647142","332642722227486764943892866555919885340","191443910956268662724999814598003422604","225251322710375651356034808727066548881","209550204262338210372158248534378391429","34344130173176842191408321719457879896","174313174780453368378227282809709576937","129664342181683592592673849956921370076","299303849756396400363441414968070272306","181064116419940288252748504295815778949","312923277118062071372853780963570606312","247322651926900579142495969823575964231","310366703407343909270332074207643321917","214492368954433378474029968763181255001","178681473670103134476906962686450966560","26905387714346572292424733315954563882","266796809161907780681580800497053050881","150482862931806469665805858974980326866","315164577420398170383059299104534774433","184028719206518614858275167077795601182","190387569549282036070474554921575442597","106009235393582579019282433616219402250","252815833813567312837000045811781523328","34604890318229636225670461602695630136","85255345166228488583650081606872213123","490941855558858533909668352741292750","307408010783841245290924930403095717381","182954533707023106727407238272134601936","111974354740424958487060988117084629763","183073971429754190336710469596933797726","75388940778786313608814920982508032234","10261529996107968160387665635604355021","16216721748770827789436228256289399471","128987408525587234995550389632613736682","220993450405949772977301730952641169797","180842218856519064247975814605564077840","219837655334837014839735783918884588757","219991622990831945079131552397749259878","254047957433256864569877747225333975262","287185301140982528750006866943647803389","265726068408449017141032838428474015296","253183494378665465686750353530045070205","95676824251937459129928449835425874986","101227353415368986233313695601501197742","153250360452787972208424021452694972259","38408771370719730044711815806862941738","206335823219439270684505819798499774264","233904838461177891012983389710772481659","259573334714173280734765409655520976415","146674355117389945560751930990763775750","283500503183800398137234090067110837006","87952269110491597128802419873103089657","142586652470187016311890309368608083371","280035739508368138051219391090978571597","281706870703672658912471033137135138405","279553968686687446271809203797400864478","53885542648058854855512912970268750644","8764583571818628040503139820754312764","182200747994136044583791917110207463708","75566411552373641637640968046280836889","236395916064108718358702191599281818517","47411223188188371967030074778868067069","119460013776688498261653963253661912419","44473496156191414916470026300718543612","29043326666736520278816703412572691919","273507853490453726065371903176297703882","271553836160393161612390444635396968697","263891933010337293515930399453671052354","216864549323171409100793277640639063124","94831593826306211096467168100000055866","184637593628609879267296116968731207196","327741375985713209589217745151962592136","136305838223603234380061399722937708399","326822059499637477018684236300495843844","247993360127247652947260997804301972441","3637252430500221638540804460154297451","70749609440588588065933593801248992850","6408866869881219912574893661368088413","178391596051490555887955426000077367237","292853290547757808222667799454170543773","143046361473177192538759544380086670002","55549186515551197320343870628308960982","75299054649549539756858949092244154581","67988618912445842758951908046924747357","89124683615623665028194068677677126552","251412004836451321768412839450487618724","250946927639216224656709821495201321097","72990959123885980019472724194728109172","235301986815620426415036606918797134461","298109108676278669157473834009886332012","7884888326973400266281183222475728569","128001698358278438886104455202890965780","253014683549830579633929136980261545059","316627847634332343381006094792498304323","327746284688886724323669352755652368841","270940878454128402089309984480132459052","212399554751525956860825022983199220634","169827583586279002618388791895824117532","326369163887644827242412931982172828731","292981340716656481633275404001795452999","131462634303229477208300997607812679798","43077981891962819512404563633219463943","164644802730313106297934711511139370783","9044611188034010101304601509711781527","181868832668366815425249480246855756966","224134671658825493203021373700170057312","232861398310162343751332783462033333726","122219408314877829439490131698526604648","311538354500292743442673092270477013925","197568924723545102188356349767134461167","253672147752565594334375436779995902088","32186213684601364293978734520806742408","176362898590211698296743163927381894311","53639228316510811872443017128221819708","217865353205529562193660630900134666865","67273996317322129512062517741070229076","237462170505583997761914093444416078777","63510759067504577254644322004763141298","53725164239704774518766753873690059220","36270892853889584162060999678477745586","92225527782741034770776610836676092807","67713296518659822201692694514887364900","170949065198398607820953616282540611242","181767889069678689175235318815246628463","262527078486143646961831192282953305233","241480204840699485331102100986457549711","212140626439766643579978295575168062618","124506309163532891640943233525549464346","200738243593622055261155064860961016523","131501777972940963415389090803410933558","275421994444983949604776448836826838424","95944290095968153228617754959595967280","203872154097650512289857961663985349645","105025247078046928033690154023290427790","208758472820081073637857123668736840445","196017978553564354263941365179772154402","132846455183407950157681709188527242172","244178536737993824591811689967533013237","29774819378554045242517229846546757555","239809874007435483255368324083807381705","110022551430341214721086595883056158762","117191473754005387533454748012227969213","7037759146002548279180476028781865970","1100493280992721488602650008960937672","243948590789928607271328554088244291539","27292680759810599671744300694757697987","133504497633104989018488025248964337912","321350436478395663709274459149285532150","125965761748216811582260420533382907117","204847871929562736649888340245477209510","171840700182632316332909979228085620612","158403121794566778135859606459358799828","58228835923403880574148271918197617306","333123746707617246210951719163897392042","304549097468743018787471478592195659596","208731057087032438080676483877597003421","192758645439287400349381060278417161531","102089679169645236281616109961140579586","332584273743530507821297690825007674990","93797749366810682260805317418299164833","53200126216664332042013928996528660924","181711188533507706274859468584868734186","300101638008863508998030547248877543924","190679236117791982275399411119010564071","149212850878673166226849436158517854007","26068358673999963665061739974493191074","211895882242679354139139425108134107755","221609298433700022531949277300154165179","251521472942742173692339573872027359636","63323065458042190583081271973438333319","184650187017778353433665226879903312122","282736466357066864607103917455587208004","269095701646605945258599143140120754280","125489486066672865110273962344914458845","71278863960982872791650382554983019713","92165071046685937360856384910999920596","283841842121575024580167444217793216309","163466294431456423081100054224828257565","199607882447026348872417730380422858650","74209500981408787832577539358258873568","139348277279381497423033291854781678361","90552318325478275058296733875189256972","91880730805818529514499136425520176045","323066283089612544841766472776936822179","218020028345385155450651979550077615298","77126782008157480602449056730116226774","282549584242865905327964688436780236127","203778175372302263379833628028684776343","156511190594647174842998846084681003256","81225374241945601890797468204745729633","62380449746392775806760198893638974694","183165857135722393486482103831810039382","208207620664707027441316821535591179708","194716063120422498043350202912395661771","283717790670597961467689928033192248914","87795546833776077121551998604131790643","244360521523874747272448340811721461874","42667066424468009779243900133367639956","30550028740169861838102693331629303300","81617011878963196415762238564454369421","222666337832920786862581440993643083311","288596514658200168166481342815310174510","140260768674111864716871150550367651754","64621228410752156107396863593565321941","27905998550986168497071537614904048372","306313448560116810051110215533883966359","309577444335778648412904115470528610970","167748065019058311029265820724178504418","64897640926437443136364551856376585778","316884198484477069419613817321532535431","294715310911615773768808604440049602255","251231079723959217079978114238313562445","47213998523311623279932773359689234967","77458924402942324435601264018037803422","194124593686126302411101850543080023584","118357391360927232756192650437317275325","39995467197669889983774851392018014582","47600289141931610759441095837660287198","154774602228847719422142213801569987069","104827195995722572325958398536149159372","61279501815729843202436371912684432176","159354710938401530241245667001762601518","138540262369101489463376225338224130955","255198572632834878112932942244219764397","192173004357498481258344769064996102826","79944920650057702255456875794630134984","224435698682800047955329578678947741451","100189833693012851193760135612021012313","262766308723619072514516242413100607375","72782787291698287835669623779723227608","135657725926845753435084396861303792493","280348122337864536760001700299950150877","74833585110250063761554142205677394213","143040124106381437198410404267173053802","125260680699812825374691305675561363128","249572576397006054189601921504520856632","48181095825298952463883015850638794033","231510386997647409371675391324520417777","171772668021960320965558088614971169338","37625648298918730111892944371495238449","315424328529322257532620435428083030003","43352516186301997785636153651992827462","195411630866390318581803219605730557114","308110722815124602926698497067760688497","50511534057662315160676120182701985206","259296144796596153208624580029508182315","195758050160973031335102210396619939384","233324461165709115505098945271771474625","85346826387468025136926654730649215833","24642042269261664013112745004791625238","230493538157886427831709864195146986508","226390572903133635275940946377313189154","125270253996039372909507662029430564306","261829323156251595149910896786396111999","175981189506439025730493479231140910089","260455625852931943314140751465014473613","11509799494132837947547799516374525057","271017352377028466715169309204911098668","304092238873684995724476556929564441073","52802900172275896213925989856082302288","245856300737774876513749245534019864740","101772675555235195234482488123248189183","212408091859293189590112754146956128416","185940570006530518160911600815933249376","196950582909725212785768385328300509176","251413865759919222115226140873878898874","251977023732318921159257667103505259913","141971769866324461371634337061586922283","334114822983589217956821770736762389190","283667293007025432594651520610382138486","125781371817135201447037356858868114219","113457764299510586706306084081086869733","6235495528983513696243603753619277913","227268892187125996365454097637979903961","276583663057562092974938880863767390304","252511963193376523693382654077221478255","195264567774604805034121437448505992232","285361576532864851606573975561624721790","219064636385569899130962970108766610421","329835206284283768081042963670481652296","70541159548500426146677945870857452769","260357089257611943139860882281841386145","45986029312768362040872003528212991793","309954565869557060484946249885782843326","286990091626283499246269425810215565353","111245676214751947840192081399368901813","284145568335464845918476755879877521625","126758786827742382877450594421901595541","58508216300677515079350192711193762388","139302432957716623179111256235354899409","184428413044922551859193537703183147357","73975262240322935766523262559329554534","142110769158495753788009400433630162833","173961998409652616902423190952811929976","339659289786071514749127038286392632428","298035216733687335660514816187480166192","279716756454934032303544431727752851572","98085293171384316260322482635374670714","284089188841119287774220513227809000964","257584801312365460300572781211763741314","94677408050839834218489923939527773639","183663287651054753699809768184971018864","56873692011701845032369705693161946337","261089971051576044950206209971838073217","175114562423461239287284151557819971530","141930852250234297919938920712250855383","222513067864138289323811432063577774968","294544812767113621582452104341208825645","36491995545293735482949585473777900179","118219910199947204783709307566457126695","219825184175201162060231822703084010290","305201398324939493041317768746989759742","85220776055886667466192422961858087786","175226460018668962410901072136455663104","116534031276081135916847799553899887246","115430398833053877469754933409689557468","173776173223132204718254307876814344777","272327258339722834013511690909721528364","4545760115343817861237771359348215824","315907767841043768697593132787927020338","183309337221955423770312116129319497461","327050972016814561580974305480426751769","205379136625833523767401894615581378994","117393956308502550657599744685501864986","106142273271218514941592170923586115501","34921852229361830097345157304228065675","60216489163760937206003608820347441446","63451979599688158477280166214807729190","97635013411887910222704381657993261339","106447043841770972771525256104011249116","299529456078201997953628572238912122112","300249622538672308967309980688872152648","55627255737453672260084147923855706206","29244182929212291262647992581104608212","232372275964579164365861602858484551349","213253169039907663579023393588060661296","331235765970104736941538177580338151717","135633529394263290292007093394315476484","139940306483748939968670602867890177372","147299522820705785009101954581273168739","193800486323593728921893580234954436007","273829310653387330020300395972653265959","118046321765343066933359525280854015479","60654078157436458232361823629613529910","313867534056036310825407825358304008261","143055020694318243206799594873341881931","180988084277298131556552702425730229249","129961051137701625802354245124545869167","178833123699508702422762638821351333779","291581118023314007954902846157868896316","80944005210047368529934475349467243201","242895545664010099492095358762808438362","290863498194319333759514010975714122534","151883343958976010686505031293305152571","166097617150050537800582835010740288708","160994265056448722828490232047817326212","10981560805312038891482009937997812329","299662062380433446644324054275781792325","205689202755929234621929385343644632682","7208798779891092479924918274046441608","34682903218856212633624968195218235091","155566532655308700789062517845453038744","168494244616754106911917787466007376534","225377138668105312853919775756204316415","96284242655750524051541295802354532128","261817275383622914379384530198932214065","81387512770484574499588997713556686242","308235663300057614150244014099535337562","56520969125850384049490755696959155586","238138059818553161295074035783660017550","276013872370004461940831643256478939473","312207466869781593161938106478785410537","267444330226609688682228559872923657346","299091214918731736959764414829312343441","37598359462824122945663595486769508505","220266452358509732908825838756642115964","178890787357032620922818787003232893171","190895784603560510660979253417456981410","265472942163363283213192221541219179913","108331740610387461181383432150736873301","307530687967513108078613509381207868256","335165595143024353062695646078373844560","287105884911906942939293198558812739975","68374243202594115664455850844905821837","276889466217300086772193778755312191197","173690038603972117304296772031090511705","74013113369953847855544882450268746451","19993418607579837926488821628092760575","223161779538786780833964075641499145367","319187015129578473530289127080125223017","274283496304682091905872948141495403831","55647865434083536194682687575649277129","245797887580703471200414011213401644342","196801647921263490411513511702492507667","94443981771503905528997409849324974822","277702924390704867503095704638859197982","253586256640575386372117683129258355487","224513931204382647386382029831928496340","52992920547577906680386875951757240745","76244442385502077856762878137702269537","124737428329112694659265493719162599435","268489177370051565717164592640854217014","206960131217338029841592591847224955445","317203751948779366149659176406071715531","28482397212274544132758964622491453071","60785104525245970228598239539838091246","276011353074162857731500624430323780140","292701095434352818767625618543654855600","180384082858540604271749195304421598518","124675137221029465067483080325638210330","131659600295537296883689637660388492543","302761569587498700248047222119832238253","48139757894994913393938503839409662623","6119855129798257452193490411628508460","59222403403564966910678933181399612287","104823406327154809028330554902554635687","263460685943363788862617580310274591826","205287929338093205809886684869155025018","307173085747753034047665474572251497941","130855014524115100014492831536311244197","144987056072051841884241181819476382596","112451009907924454877446575553054473075","52726437755020873430315700274163736287","46463480682518597348843950509423020968","16153639826297763362193275316048206974","197122745294718221829617129302423338776","327783751406100455940395536984337193220","328943738056445207563610424207031088153","320497994273068801092972341876854415617","12717127416183444661414642937176451585","41305494065604980534272051849008780845","338235555472873549280931547415369172406","116428542656316765783056732116332730856","196164696583629272599826306068921145139","182971190563723444841731233922497788690","168082263614116660002987099799685589719","261147656818367724023309148668298486361","320244232751275701155676582012900229284","23705100186390617120799579544790991485","277931963753821466936657075135763795134","224779105946053928473476236569844930846","84311049104926161810240452192408960173","187273565727815070521463664013398873873","100792142460172782761250450206446103152","176998854871284250169091942276950339236","28870697151272352202461504674718840227","272902977536468880769337415284288514879","86342371421852734883254004863412526049","253048759218838611535821863018291382732","86018570134304559652472286130186736333","233415542965598731840174850430765865566","188782327532538693468645144751846818869","193870676467388779391773869552044323168","262006699440925974537316779274985711348","49921319473652301944916435910685644067","170593547829713315818430934336774461778","325515474201553281434782211884882807565","303619125182116887623506796440057082483","327298845667065650699730112743711122323","240705935189086259014029535305643931919","241871222552159510126931039869807409144","42525648903264208289378537328207813520","39683015635476172656993107724499330001","240417632675770861649524516986028130236","62773144483167744208311294129927860708","3132438504588883682125835730818390588","331175988882426716861622810089553779247","122221055812397489811924117267193789986","190613168565163025539945043797093727514","280944915158955161746534516450864649751","226442065632939330850896268965053680979","204172566230700808123324427997947158486","30078023040137801634084180567912901228","102017389241683648967457391133611205514","84302232364468185118106989085043293820","136967896828258116550733986575222128275","221346202727077257221029888881730321966","259039002924389833313978457816525277623","319791544177391637069138673211530034597","12052490674356971145096670909355723924","284445702758416394587523404046026382677","325649796599171924474320925861830877088","213413806455351140069151852076589868323","325551968184673035153957377340428486634","148311051395168300629418126137263847326","156731202828140256621464269060905692899","153970483167254992115045510946237011172","249364280226640375877153887272876568803","87129028301985292260064790290565427512","100192177988480082330634429324172524821","165434945864172793776675350917204872802","18070307216696674751730624323674079217","47992644393871632248829049956576578752","156337818327946591186602676544238599851","224274351330908101844668846671480381100","44135572900103275479150153757308888692","266700660584016682795522440997644089869","41482056797577724508835630430373609276","240757460236054022903900950930418994955","268710356915101287952029624988531081530","222420426117911971892525299865929644081","125753965027587487925459170467494411431","265351133345486593249195734577023334940","247866609333121943174929661617816076107","61014221999206079799674680125305747642","169820060345665346851710326136355402579","15396952610899079871584132976997897400","43677316041955934252128467713653197625","311647687666767340618422686360218606724","157563330003324581331019193463808486058","171970937112291748267840840841141414035","21876283119203398231224495620313573015","187912248423956000163424873162370633049","114989133355789551118473284779838076583","123989463944240167445134891720876578568","72943926280799252368898611194575168297","153681607765406741953124561655446473682","156479302236481391786313397448582790700","326274931641864978184664060057576935103","300701004214291607283755975041180948820","89046558824109947244962906288269240533","98444862336316650991124192409777229537","273594205191018307579124612591442834900","39990440276296381209180255873019003766","95583390996369369396291020567848480494","324400475111846663612368816162504595775","52278759256174230893144174050770385684","312324139792194751658704790836978487092","256649089176874905266533381083395065353","336328330132344708575968394360510478341","313903786462119148505295629949290960322","194919545747611786329948104870732079837","270500610408167837529482596780065915841","199180347971580888518556010047917846530","319745460262539699937744755371278682194","170045644144008873422037362464417986028","136145874280654134161857234000894824752","153699048680516384824498364642589457220","239734611188250727232062783174393088537","210808296762506091039362684594070711133","184135330190565646541915984923041222910","228827758065309925800273016016155814460","171456635412770554223054224988376679648","271330145586556681669980205523712391928","286825510900428798002861180274819618497","311874376092621670172538900306510582484","293310413507552317967181865194102812994","245417729227068996344826568275081616351","204420844727255455535199062223162808120","309650641435858107883755622209542870355","289750135352141700981436987935421291798","300735630462919024817489192173532588916","247213710628055369572769118861339114243","34245718028491893549781821043049559409","106710353158545370213566097226488788534","30219296724410090263458056891300967843","172633131875248558372449903733271441598","257934376813977930451967637118437938146","174749470537890350735619072356449804481","309951187447395295909155042105632261599","58376684190685717913065394065002586557","320807347357226089333952018109358927734","201474795443706258550071405717827672912","227631097746821840303071109039626296568","30227868799798869408641750194721230845","20250973936599455601628169191303752492","295657227407917090654704496416144992327","24407859063458039658075520967375751612","82362848996757209629484343849323396635","223438921497571648791732914242232413799","273574649742586330022530644594008083383","57630811452811369821715538917489547492","306626941615134814624548231304011693394","318112641817939544005480390693748930374","297249587886214249820191864961946986118","24462014654010692290170692063808830695","291859183834628340984085238879954307560","94929831375512551550074150488101063548","19802908109185645816526263814769244069","255297643934314980850480185390023845154","102886939281425707702494593107366724872","92456890966524937061084341134121029570","82653524854973100954836428913079950179","262387311544052359775510302976733849374","168378833110902597463652275866767984152","287618428097511011157158034530091601141","37995761945310893079253332178843988480","55051389726006803692950672601228449422","35701396870158566609625578724617873738","271496860329903129995755116860865417703","221500767208835012961295559751040145741","20489010064092579092371745398930214571","80192149886722830286526281395454091601","3945477537862626412978351711302620314","152866673625696663989072174023073030659","112700393676893765945198357068793997130","240563637274876663352723339020295052705","46100261123297942436901253840485755707","173798896449001881051568403753771882911","236689847634505706808864396346512287164","3029430844797104939040039116025655733","128866776913331624737814217366658499","140394938253450377859303694967331196838","84525774034579045651720690454385491763","289645509532739029385565526917789808261","3720801335664564566169127736618171980","331092263105002940335204959957037898291","213407428225345282515157600811610044993","79762935032625234133387710516435829048","128316999404762861877960732844377044151","100027089374248293711928720580382854217","101322911384391105011613518075195518454","207673165348715179633119957949724722485","92017159118901423531433789125255158297","309280856463163191431454122729737357448","181850931400363568188809245577079415253","143095439495596265265060896029719673693","105605361833983255338921951346646918055","264384436646858826342022765585686376668","202453424168369571399561867702724064262","306174129620262617135948336019875059185","151621872517558526514318033504337716169","96487797228544823275359005188122373010","191510850062250957889578350910481671559","108354430374137705212426111257585359182","150696957636908220950994755614482395666","271170372765897677583026122681181109654","106802830379618506574618271949307642235","237286923925276598613131106841945392936","88012025261656124642165759909406881892","13670851412628221576960916977313729707","117305097025438452912313744318001306762","322468860865516584758955694993476358922","321125933982707979926968377472442607817","245199559123908296329074388985870753469","229110530916616659337070250683920573192","177658848523238250320022470436144556324","304204794107878312424297805011797643070","232545775383499682885471289469448455879","127705252360194451423905168217289804518","56871679872504845432143810972946773128","257259458456493845207449831616910943995","21059041859101168899562386229382357108","177641205030831547036688036167592803794","3545376582040150446003408414815507633","52193119588242054914873041714205953224","83511439930272326872416223380151233125","128398059833110429684367113603779887456","239616454640768264297103154963141546666","133771105702285986535320816089478843831","303592022344951364147641406177428034639","35959725464808405878988078095808838970","109704926841727724075097041286673447746","134482782914705184558192448697929625786","68017806215775768849629964168303521417","308190632432615610948701968406053530541","21220023276248684557249977430679562612","29523659547313277970563910785690836075","51936106940869332350540324743130540241","202521361248693864423506678937650159116","218048614151548505946316277348079021745","40603702118394259994992429788551721139","241470070988039858574587526786170112197","44953726240525728755332352144720156587","281850682767125501610113379154731391654","18292377617367930608224508371847955247","330007091354249695112409669557702957438","120693271998569100709589580758238570229","151534197866520274788503902378303490394","313302051636534747877091090105729235198","113689558389052019497694082937171682042","337028354270679358120165378076441779045","26584367070094071463785723058387915017","79871746545102456461261024224854389982","195189946357838255479113816085157925855","106613617918429966270634029282072047432","221462555541457688575758423082635554101","280783560887052033142937546598540650074","240678463185684060745006716909099617335","273884624749161033061239145393371493891","162135463545160565801869017951334581117","92073723300374691002371703891542815051","202001650248780408456428676441907370944","26809022551414581884798513530029143188","239330652650656309408682557624015077173","58294019456497784221207240416868171832","23767204969294825185339170881273611806","276522130283838850413138682862697674263","1940406141743572286873896769707930865","264243150242973370858544079406785254449","302665952141931398158920630729547257087","63197110120204254243756408864916107118","65481058171166500849506462049144618025","53207320314387248945290625808314089283","282083187815735553237800720576054160021","214796190070349254094809015216011161356","107091370344522410312560102303439008906","17295597776584825506850693499476989586","248992006871649412711241442595273425870","54920436971110917184980654167660377785","87873149238300196611138354780500199710","161924300157307750837964106143608660824","206887527381375706018539795611618875892","1715067614338964808870040307732818303","249030966687419734078014033312646869416","44498419281867349010523989665669436798","284544514727844301007128275604487923517","331439574314303168312868092775232500126","145403986660449536571055611628361828228","170243499962109223201648900200242930985","267972680943595334795131061512489092393","163809900337579346070433351570931763385","200296005026893424261946257733122371817","167691745780963850369997553971572359706","286797584636962374254852066477390057645","248842515306584802744182377180508412826","138751178949360961150708858845153673770","276002621014139009902952066132935396244","303476326776039108134826556924549425244","90134365624788667023049619877253939765","177003274557445084678132778236185939008","213030916048908180319227915940052595294","111050056966014210081021221656083979548","336840001070532951513976223819407618047","226689605394654489155605341999078268358","145146588483048173215470365800999024011","144036716875883368727027906931605029572","266430299269825821767586000385146753619","269585180170364267890116939252747495019","290092528045904088008847109890567217638","267355639651362701398885133753147896831","87759564464974462648740009361460648127","174561444342451879205466123688470701756","280539430628856673511409307674018448701","2695511544416256075616076294190827638","171332713862757142344951394478491196493","152881714514701816537449910228903820271","29241592821153910970844661733360891982","284863974945769106900199239681259700355","102708280304445041951161440311945824390","181491946784347550675239247033406959525","214359028328313403748875109267503049440","103740930974093930569098242245060735615","262100315761889483977092201115075432868","338812877384469930557914450266189643423","81317668516239173513937204833215620119","156703553199865760681692271931106701317","130953950371544281590080553878228856975","70569282201895627548247109693413913889","79811898596617470408032466699925567081","237678692809195033611038830466173456916","101235757688656053452017016635719449638","304775029811193793891300163855293960617","149664794548064938599692426041945227967","87812625440370935774054477339508044937","269345719357882057207694619494574344994","202085012754961225220421549700934000431","209549834273255059227412144887287095517","227857417166108115901399297548658746644","32011315821836541460797553692400102961","97142660086184784006419610750458958859","123671298671078426777301137622582816042","224595265007455015286734592343248216017","88446750630461864647152694945706427898","303986159834474498143540247291746504397","334735559130748474248994060020431606075","45748306309188437145749096754732650283","330245290070816052975964355608040982498","282272123447408303393780180079249240894","140815497503654973246826594083863545329","161336493510808610942589439259669112522","45775705834037205625758907198999685262","254937122410283457574099081192359209130","19163370329562718953139069839846777942","304486331675515811827609579551298854919","194599957690012661687629580844953234831","95069599947233978192351256204633519542","33690538651687735839935060585608875383","327991164251865620982129536057802231572","20188966928360212765306170368763023641","309327975928269465209312648502949584346","127606324427220210136279076195115038583","165763205609958854094929032480146706589","173325933024509965318568755584418996882","160150429821210048465483315140344399034","254996114135394231556482427604802569062","85476529707111170480921263589525749677","310950363669361393001655751155731656585","86404195068469697677743282752321673670","180820133651427091289204346838171991063","309239690007507563064106900579462108938","58901689116806239412974578629427553316","184147962944072979155826178559852271441","262734976658335288515489849232494143252","4752585327690692203737971068223780429","236080093151311409968519975062889729538","227231432589223720913275924140180345352","143639358010973159443469995887152650032","7461870519479922706496196411893839268","63743363178727481634822942175268919991","104915623483662615259806630190620129183","240289623041918211484986939630789875269","50177476269757517330684813298164047855","134820211177305882225049513514597221743","55786935470502374028871016821275686949","180044199358492931618892132528694785011","153553509481115959966953950060349077686","328756910691378276143661828592758149808","327684540365516910518693878832322688533","187288898331506769810516602243377030783","291602054467990137465671385826914963487","65928602874449898747398584801096065160","320708214399587552890328036373498021722","203341504563928338445296059683681198896","262867576576489823418169380803318459120","264251451613109572269106156947816497130","239759138642331873125357439334142417265","308410425345614986686985379985483377062","166342895011192348108093749846331190706","266665542083138900170123126789881892672","115088386810639054028153876001459608074","49170693092408861015869556777609603761","201811861307058059604157838051518584165","60074347628926045437021868042484482042","238192818201505190226630738571193282198","91856254060850108263872189849124346890","311380660971386859853923007187620804812","268283533475240614058221997954855327721","141463359882314821987223475388112262303","286633755652789738622823242242366545056","247114608103128776491312278267888346819","40986094214499307162940155077032916227","83949829373585038571237110286080532070","148869888629684879948245130997786072237","129315622864175284022401893368654391614","212896914333622538042360775106530667551","125545781936660752190056948187277645481","195412493009714547357080139097934107220","198245804566605343230748889638672728573","27361395268890945330921610844844725933","233519976672677036835991896237935635064","60361818180703495680848320548428477835","250231937904477133133350718431553637738","238885242198520120636206382788257549650","237523067795407132666317636010938835757","323822723945341083306267753116078546526","320545887671064326150276851677530859152","283609172501381507439427385858216834362","232037280856496888082546646760269551370","159636561530429525648761916642672001314","20511956162008666708381754879797812364","40447187967616521789140978470730894553","137617265307930082021617196952065228359","115282904630729447890517653625269763029","55331924654327595517076970751166851788","159106050536296278531500943560886842364","163466533478427609940689921005808408424","191682005850371177482519247077942959362","110140368269611942829392668809752908545","34644583940246068657219474455206714638","226412203248302255463094859702047788054","93650457141787249919625310841406650166","98032292085053201963317237231917865009","285671978422786688324084529799965128142","7184424031902270844958235616254711431","194976242420476219332396238132308241643","42470794740441552369809344190597907485","200918503576084423888896818251506837053","221705406397287624203166759481872064102","200692771982653509537660457288739906372","289506109547115621274649006451597928543","90633704112487557596605303145530155836","137214070136665549255092589873150562949","46088706254827449972053886068573076565","226481386312583011645441594447724765665","158983823171653470416105806804995027656","66351245003419068108706177165538668812","79252883769232650690282951826001437345","241813221413698512327302316276284624283","57853870197322290076220992292493658253","171743960038783717327646750491087424824","238495865501135506151530899094573282575","200891327128289480139838044945462806970","177614363628563244234714351732899053898","161165898394350230663435783437758328711","66045298688080699533284919031876509378","262555983445205899457339859385752741405","18686862298033255354382012797536516988","279400634256865929775214369477438952284","282177429261864619968898331300432118021","39331519159339508725519234959782915793","73345501111093082050964214975715755528","68992467305057302218051271095977437763","114768244972132629292162093602912095405","154326312617672731877532551498178762642","322950004866284516872583478584288445810","96434943367839287398954732737796640138","332120571331933753053687424342538734386","48255387423903496168347350337713774498","192864057303827516119742088073810733412","253087557821949630424915380946560840576","63331333389543375988739293000308908863","129208982926629959974934212394533689277","45719759786725806209210010785910821817","114981206741641672703620958714320466487","44946939381565776860609759703964115432","119283867767333938591071254201229846436","327588581932940744493127337148713899955","90615481174290342704706969771891089726","103239006742514647620456302146149818904","192143615986382504719847065158244888492","139811362681359881832154669438674813241","191319806803740679066749647315317940059","177482621576241735021367914824406820581","238462411657286884499520739221456938118","229573968616881614223772792974724048343","18544686476154432631515605049384545797","273482010880502088664788701376768833849","229832374144913856489951707146356115832","74948062950166890780925907792910099399","285911762268090048377151989940356023841","10806845529980002466086417458847883947","321433942595381297940423135239666185178","232162740796626326908172538865045862293","301593287941751267798215266360918662654","1038774118894746163742536408978067563","130934348413571998515866425974301254982","77288807030337763001279650117105452771","139311979398492361637022815470051677119","30937904528958387595865947832597624432","253060724803003710139624512987609843933","35207101731295324510515865466213523354","74108975476579992379157385456413449987","339209075850640152925987323530942358451","32972985701697852600058753628545221530","27575922162423344232686340543049177282","70080371607813179660216596061985060513","25491386567595397108852724757986205618","56156641186969202770011817430528388811","252174327737432079238715201157800924953","20506362315466271477059814903913077491","266865359359487192648208850499831607712","275095298086703193211585306037806001094","294602877001357427322118137810481217405","228649892497693149962781641185270534847","27530923219108474824884217774646781101","131995029575151948721066856027739657074","29835074095422996117872161381680630949","320761935562546431300244596203698108513","119883937161309494977418594553093556034","87299528838567493940515880249608684445","127664504676341982053468480980585158684","22399259033519865814957496217870848425","194450321194211505330116279719775551728","69220052059623029556861866072307764307","183402752517645578969521169974872426541","154077032700643015050678758427175312588","205673752892183390662980594680917509170","308087887712374262884304601179858941814","39724683964623226308665712604465777841","133080807612699901284658694751373254347","70319071754130633665544702925343937948","326076599317858750667118175078229431580","191017977413534355955805778891920689604","322162332095177224764941641913418765527","31711668211770275359874018770998768637","206478107442397055688467971742862519691","146484171405538670600792865109676515689","134579285334946311251373352481788827242","306149113099495107463030126853178695287","324598924077934960732307407474112044550","53579502851572385863276111178187564306","252667253550839839793579040997447605113","226115950988406403128991094828079857277","309487145914488893251537691435361198435","64381275485216217351254144415891429860","189287731002885267921426742254487884010","191584698031726555247362849874968943289","272034970596574665383934672544074861475","188868053863218920572486852912610544650","43221022037408382021276715926916248846","230454583959636127095623592673189865134","270560687722767370244041127742049885081","202128899823153181003698894220752873474","331924217893368449908216525743465475670","107380007993924029059844904869375477703","329697546884153860930545105396786401932","283864703991230248289687059498641638043","23825383331880492803447207632544626939","303997469617895774044516936019561781108","58785024307179993464491271902205829184","267228943739534347629062099657935477969","267394630681930460782543587657433034747","24707975234904793492102693096339646880","131215424315082969057845643046942216421","118180599132386921524765616447410553","163140238567872069296349609899611406321","316628011417007620870753633317510071866","43694252674782710774867070870051249318","38438408626571214218061591754158404162","64075168786491701575900852108343848790","261159516567838252552994961582213891044","7984914576015857308261980655107023184","69879339851909448912988176095440983494","124562946538497478831387639799491314786","286692720953055680277636183960861752550","224234609452639109972553098970601798624","147227913803270976689231448176403153552","44999194246019619181868483064957185210","195639512851876623121790551846498962850","202129579221655141661282038081816722249","253011330298342227490524176814740803250","86587545316583805857861528047076322767","248548081840430271704554127229435509640","201911567406602360210626660831851556967","260413617296319746010272209963674742744","320797384667252568628495563786795118758","147893385338197502670271450425365202579","262041374986458764962869116292836773791","262361366325995687596355235459753966218","16507884026252686925614211986436217529","327619204211944366993559374547369224542","270549338655344335111041888684519200481","86342337341366009575695945530969554299","217922836708045012703860994794073794260","170771632595874152924978905492900917768","337552620267135632432604767163520651629","87394938150705045885004738399252532469","1359907399620170591077898447339728313","18602882424169419175873956557313236130","67214642732912038708398812256162931876","4798886389947868453557065939927642443","202468524669185761632116607851391891865","317140831508881180083407553487399810459","345873455825675911977403621081688056","34408880510455936796275026915347131283","27084548636617768926514168950471459525","268120848375837273888465961378239764003","153594058622074094699287401443878570456","70611605411952002066205218032227277626","65402502724451561219995155494440608637","329855254642808358632198278680283684978","28519833737787527561037083229839029395","149447658561084165368815971702439983522","160746910192800689541569491446138399221","334558254911937473591338286850744850954","206429865926189049401445420521987468830","151531791264083948470556244706710644189","22401311089338938863080498391414796074","263190607664619914952814412149068114356","124661867885775610638283105743223135603","171086709551540964435206565637326452844","34321874497604937028390901335868065750","10319086871874875376475570618881090053","153847448097787637040246500939757260265","321388999327719833047155318136622418921","334686381862220338101181557952041749546","14095786117077297530500361503953229310","329076247328872954916414351109858810465","310385047007433041209889175482354672509","320486947803318950407351563765782556411","75741433664543959999573005256047472475","72538924147826058422149690112008238261","148915746245188844876931694684484337594","238603060188417820093273287221047480313","51856773244606331666542356711942699402","146659312745994626008422278248410869566","42412336974393705686572015151874184101","261934784571281730837133206980030168876","4561666024938337432905236435483871983","103978481968778606017110823925654598729","129677776297453680087816383581221863702","1880910529254894818945233448106153541","119043476446584557754061960454738634804","309458017513333690127663459386028841629","268896466276917334088085817462508218359","16618217309272173227501489333124813847","39772983592650868010881341932863974655","251957081072328836944463468075237255514","117837887768455222551372311975130351302","258910025452853302430529749865280516017","245307111951514741673711892278501744554","150109070124049819140875957806884112721","197357984114635883505511947023073270468","304597875744088871850918906589141466869","286459242210757238743101651049484688432","420727534885505469412691952664178094","338616917293915043074322800752673625575","109744204467815407944136127111884546088","75832286118306781682536007131969495422","177899432404103203197152174928981957289","124918614365812817045220493094024714867","327085727677254400904051716227180498269","199626613932766467049284378540221185595","288107608881996408550645166389979079546","295829828959808122874705834023835150245","189764712295125727737621196896152099936","220631856327897157718233857264154136743","7088751389574466698966880421441103188","273060528845875526582291471035258132331","113788130798100173004401177813822167149","21100777005784926729815720615926141707","210525716065701413399090052166662352809","319174146794686460255749108355455155551","286408222841392152890421490175645008214","234732189462869230439563798767854233218","215431677851207819506406362515502251146","130386426372516882147404324742579340587","171508763722883852585154258227508639721","169341936409373621015674179688060993159","331449091323079447256430216057225871603","162100231318134883980587847136026818583","228569067215236825996677433890874183016","103962057820525081789711661988394731399","139197018783543827761295054437412609403","204852247975023301127817112820884980460","321407415447622398650417768916485646521","4857312472792068373564242371355961350","276355413724461917975443354511087803199","315409420979142199155603638093835212309","184464531271805856204993502216242584712","284903591154952946911367527318363493965","27818281165707531105524705884699423990","24378773835541501872778996830274144415","50215064717000553863028373012334156726","326572259581045796951105295028862508614","240698792163903727384348051353614636394","196873503159618706984912868350203701100","91377519306078341097190075553651359842","281394399115571063534653310493697374729","116404831852064920747610415665362143401","90928789569947237120217812860928129714","161781536175141691594376021879642928888","308564340069119576624092085986407110393","291526277908927397106708344453672044674","241888486953497643579483066807978833249","257777487674422239051112071812082450403","28857987693399200517597709024880683820","145819016611675399557764804386106421357","19750078156143753864963023862847715773","332359553758551124746466587347930970998","205569655190150121372552627788097605723","152505350002543951990798644998969960666","113922410325170624033585004470394517161","10074984818912400288623189310225582889","99939218786209017984867199896581241410","34727466823437929686320133127739247212","284086364117945278985325748378174984523","151684610972456450404617002428220899169","275236962313090827313118000929617468361","93901319795310580485266881824989872595","31162475705739148414480690237168891998","264661702396324676495051529277565523328","162822336755321783803225645802133286251","91623602429609581800937329730860070594","109640618919039101495732219967360796108","103196650974273761010996224937421577347","51247480434907291206594890574019340192","262455453388077881474068812738617190645","132046529274163038274231520741045481073","70039806775607654314256578458149551039","275441154640580137949780254306619420980","227534903836856598914802938771232629258","90021114704921579822996694459129292188","182709399671861330301254098698755045780","262682820789093420326810175390002926212","100535888757675007617247811008837830897","180841083200892565887685221712425799822","323331654821032464151005781393317461994","308396570139337397961948938235850767601","281336482406080303649864872623986724454","327264671244865880069657849060313513006","318144734198573644117119348093741576","191329880503765302301447712114068038910","121543886857593359773489240616139163468","7113756334884577534836438583460100712","157629401087774389720832244373175817525","233866445556797475845461134245680039549","213850475677634126392126850595683162003","146566321792211878940114534331434947276","42322871835281949531391810975203151012","333377872121666287030442150011623970049","244614862055461328859954563138437948669","323594972678740551114083562443212334510","318258562571932326516130871389168228366","141236534663480088842859619022142562801","261870957309866552220006887467297202859","339862661496493316199762086850861460012","87418332432728212013504224634762406176","40976701508572665908512223750705188539","117393538271337603715858309520772028889","280937097929983556925173109576886630952","206019521650677035442150909516643733990","258261952459466757575250934072731618242","137113085404523123276232301700562018074","251838015921768293015181303882269739978","2270028278141691168139338476949952900","320042171626083483812701711351663906255","23968953311053037891135797807674245888","265764693082575784580482647908598033925","181728531203775119507379194921412685630","223997139524940706710936765021128643621","32455692381156790229198959901558466697","95776098906747290187716250537216637221","143223761499524528265382940575103340519","31654126501614154227003743168041875625","273428894278789940368921575302937964179","83193335059837481574876867821088180537","337676901217627413390414822305382524844","286256834660476202917563590154104803516","64029353979222964277811496365305320476","181467363646381074177289868721848400411","290133287540719838696583006268915908887","81846392467267230293243581228912930990","163556487541353443303726918361740263297","257568583000325291764885911632068632645","84405439840735907564009400407100300975","269119917053807963593853784919580434086","269248140148213512179084192370205684881","276973702347975255257404580299857693938","250231771858906592497001928772562399905","280311711574115234355160017001932920940","293946144193262444517966099208915097466","87947747212640845681292375541878163006","165231257141316061817213203936121764843","215660702933726012672310014704207466802","193419743922139921947784764855251247990","249551232227572544270298048227626347550","166795240919256816255702216621966985074","272553051637751516634522236849961845253","116833330428583924514445255769869552855","190133532075120451333126826744693111002","308399382528048073811252495971588684846","289394104983447493963627119092489641384","122350332695235574908337562730488299377","323805993144897326193581074581953907367","258530619450909610928929487247315105356","122648943185006366561787576779361831585","288742565033316706597123060697782778515","307615506434227103637961711397703150676","37378005554354413168076013650591210541","68883505939929402904689855939746198944","335178691526307143467987664152644587429","334837462897085216941805832394581752410","173435385703616185987153821505485572669","73970842625387520505432329003296917779","167232264716047745763984481756152624210","249695749256641934265577307948916227544","105720473033643201459421565679327170183","11726614175198274766663935123901798056","333112488882317834080326366511417377862","48669646523175515136256234958179035204","123340294097119468368419853564247103107","9339318714859020636821922682835397582","221628664557669039712036625484317080208","291826996950027401965965955543505166109","42241360977388991434013388033494564130","295293535323869320371589456224109375050","172064107151884762564711428669671337297","334013233054599999312234851266395196942","220066454834734367710985304727598800342","256190158843597188743568050189371029400","68034517225914911701913971020792233241","48179266949184683440131056188951497060","93629830026572317335899389606428406009","236389523311970215187542480305784379917","134539091260792169560986635566999120069","162707788722185232386410300404148344459","119756273200695557762046178059466344237","277845021086227960298444417067895805046","23953176678501027462568339001295531196","220833698260124711220426833750108050969","26779333814018214031244988946178058926","182818362997410968389673571088849442645","216553384161618378232507164802154769843","137053312108049180417760820119988009878","321367422921411847055338634745254904846","58638706033881433387233713537331262138","296429572300279324755802451881320187050","163686519106886500268981826838943472981","89958599745595939569676682948825352406","187954629061721788767881744740068593157","306331238906807963709156414844763396180","163658730000536402192484880381902762367","80500426697544680364666536030414443141","328480669275896567958452501073454827020","146178930574577459167794748063370411258","108463035867493716286536604986722246377","165173056101855154882286260025093877225","127284769311796695222340947903816535148","52697726840616347773878026269654751467","194978958050826690259413712231012196722","165377025915327035711334934539947858951","163447712592675259805121039347491739052","51165455470951841546332539342009236500","249839933108463697153444473323065318047","308037064325007208844921179645136805526","264018983363293483197462092994711600847","160364211602657887077536026682006703049","262137668023716857735782536154366441866","118744433776196260195700664500038143793","71571570633759560769198964371502537550","306708241293708194887382971396739296315","299433217624078994536871020064474567065","77630747702540719258730468397148470030","282121177129791979083252040248693077865","9642535546238843484147587792379284603","295603886858400128154205764444292372348","140226200016874517381772308881815159764","222951528926853384644940755872497418120","243748587150089955969849870702221358738","284168985675852845379097321268704759246","121305673253537191626042532605911420122","249736603695924782999036576171359713293","134726605250507455560073130268608242926","105686291245615485275162316430019865501","229611758186748029963874504992905248596","187762593649041130658781525769434622400","148881568810337926800228778250166571766","229878176395900198209630584383736872761","262509250795671135698657682709281887861","166131871324239000462273606397075901940","259527270777046982960240132039489854110","219206736046986621740465539671696560446","262570058758160371023958968706932885219","168165583386534571354674225187283862212","118476566072701107642615666485802120156","126106712175127474189550317748070102395","154164863449754033131825691602443749678","170908427283757822416217977361668047859","128461720759997481301323439567281915078","257351383300388615219700355159977222143","28724129442009066041625099669798558426","76619830332872536429907299800774822621","149557258950350639100018790701006790278","14199895656022959565840967197941613442","206131885277674850094820988274495136062","133564558454072932340578814106363482866","61021488481432443872965359083206262301","94073568054147609133930120968245529513","107331742973575344691171433165422248185","256906548317577468173606384931479602463","5574685419285556271479800424768184487","323463546596695126815985273151713883571","139481977835687244548946566839552689647","77582561281148689443771936871657862872","314974560470681998469511751996692912835","138992214394299774485143106156550730773","59395061178831284767679696944301843324","318468635105576084196641355121253786350","108537524399564080860725899730428063688","193466424915117795214059314590420851022","118350938086199614089307147053723282111","127981599918363762482840432535485808296","48572606011580356966119855125748640759","289767146896334152368280369502911844551","243555695678168369689673352093209341191","169128645837592279801902446263946865446","216090209608925819250761140742042773339","168697158359865224921477662644830272437","213657442474940042347850731834764887251","260793353640878043847385496103048917094","150053675908074868618537331852222684877","24228844648957333887339001898092095541","278846292208732316038820261967984697844","192256657018274857628989314284468703477","281100361596259983342483836653006723084","132808320588047349735083072922040097025","238678631195367652653833183616068959410","269534515475629901078602982894879844636","298023392386477768379611221305018494526","213538535289226130523080008778631013799","121492395216941225396650589600174263321","294099242479603690491150774492611408006","69116820411447583560867781309996999489","59840612075598861215400075536241425108","330743205541004938302823958852768621129","148537974275893912464323087392978619977","247906667195449567813971651178612342937","276121143723969269317134493775899435110","177684858746721993393294657864388673111","318565470424194644912470855056440745599","307865964946880893673897473872907421542","253381871293598635853483715843018931013","116329756143334057560881167573118217658","70989334009851325051873266462128138222","245334269969915087404335679947608182742","273735972642842658569878937820306307696","48440386468012976880933584580374303229","73310661333070278782596309663696085573","47459631341745936191760222886426729825","26613522186704223910664465381961732957","162719209623850002519017004337617793203","20238687914227440883601091890619332627","274318350968364494611596398126247521926","126742710287110905977762736765761188566","160576380702997550052869633023946198496","50844026141600550425760857928628824213","230825061133157297171571221746859250583","238059432578260518861370440041874519414","339493049878694652314892394454411284573","225521755211192917580471565139758431371","110687925187340015634587568777019832365","311846325176795875964711184040790046166","246528490918469441849026625885538752572","329426721352284616245397692367800555849","300172389212863876559226910506560627312","47612878011657077587847718795212302714","82598212226470639035988012315232551706","299882073697610753033068469549570477066","322161928658232310160424204200594440336","31103617231479507397673530967902575117","19158379917070496599100802613148701343","152430277858950388903982019680277174812","271734366249963194454374142122068096546","252212624557737128203271685901653178741","335642709657625329877378956090834023454","33278003897304304425481627614592817670","322818681149173893959357834014947117384","21662728798389458432653228123920170370","335357487218149380456088828434458191036","337594887693214546480768339532135548475","276714308916603456788164133263810167842","93953575015598831883081294580426015186","199097476214506553872992184769189450619","273551823846977507839713328136289685147","36148602062971478186729637400689325968","179370992460750650051073241848601053272","109869482179127473939060437776750304796","153547563357619544294949949992682326911","47386847735219656230606984677461766384","78624389373399394044296184208595693946","184311145942617900931595196299107645363","14074973273878684183645703253122697834","84403151625882755767622638509110376464","42331969288406455142449378973911740352","304410228599412390045155142827328967190","260973443067318952857682531670867763007","201021503145938020850986629111255100575","263717040247514356916622628532689702583","217923413937948852553260843473930636586","169852505371811176862275936259625776315","243197550901722836396958887298614059798","207715011690978110846881481567053191360","40086124736118947257317754053835780450","194025645390627341384684850665964732961","56831148411957483539973749374009206258","217262930936061681063312871316918740998","307689356169685639619471086946943589530","125871299061619955600796500405502943963","72180062586402690154461996913906862171","191796946897646524168846636415443175876","234585455482994533589323845349786378666","19348070915022932124757526761064363188","38075891451031671873886621834687298248","269028947861351553433653931906184166304","161508031533327405455481611628308592242","289704125917783355650572328122677744944","206790920042543293648050905722740748760","293109439208901216984791442889141472167","331988105737640730664079161547090187854","324377967160652632520643622134737792967","137269129891752719097229285449740163309","264094390804556355010966730935682272973","177607912728722278452459441609086555625","249434288961830792789914283801429372043","188407910025688473034184742366477200340","132152838380977756241821884829936703754","280930316080718495605477379228556725736","60309520527928396411109072512791626316","7116414094335984704500859743959408427","258270871966094276813656117242040832710","75320038680232887801200332759639961682","73545050597162787602292250269147446307","319074789643093708965772193563937505913","193056891126295100416660970586361852235","334477048283904614706799016007084510517","336257797701087274839700424249955424544","293884929098330023618980810968718118106","122926908261454470183789600823656606560","16007093128299138415882204686844115090","46963651452497305535729495224586667260","14686039834249862439122358554510036065","224595523276765568935328972171751370450","73836889414819445454232691540032816108","39384113025016513509864847707237866284","107478477998602005364303113229896988991","82749095641149751606029822808113635072","297028139329283234296197261686364894190","13980265929617204984004821825079490448","164359688109941986458089749492113389712","148076974419504769473729993110616109366","311884136339088110131416790824673606440","114929915930059069492946453608919667569","207482128033180098945287922075130597779","310261011419328000346322266709949755552","156893639716262751402421657475520139511","45506722263010011481566555073672270644","89151370086002029623092092741250383393","177529208129442922573519854115779349558","251511921682172082866472156319487067235","235087969589153126494875540155776863952","68073935955040514855197966168284479533","317251515856824076568787556402818302455","45957324712186009051719575147682295683","48683521828651447056503254203900433005","322496524253062802210053495794884763239","239784571926329540368466230493344778992","118252833361663519887884702445242265649","80336160478916034767059055065415825520","195667019327635461044317618216519353509","43532125237706067392111364321892185638","204261500522976116379536480763272847533","59952871856218986449461223736627865631","308452965580169984937167817211329380285","56953314487906881663334705411159075084","286282705016012098872831244992244046167","35886452270006755182112704406861951352","217856299357010306502317526957280033323","64765934999334999333049576331628287694","220632314618567524014467498656765581964","132618508315077370461624260656937369930","152944591767187640467182603918011664955","175112307602531259095885731565388195626","227689165427291592859799672723856107698","86636160995768174296209355984550332856","248169158677372834828132126134621515162","85168524742742685556985141785850090972","230742453605985129291197923319711283980","196457107886949741331552861445823270992","97247398330451658614713962793709434705","312023335913758263735573915370078348673","67514379813690061682153019671699316509","3478983134023473300432609841408622588","330343598345988526366631864822589498565","327598755300354522112276963712586619112","235582159198377978487934318218432731700","10150151068934045327861378818099142793","216343648306077896209061358457291902900","53299938053979587963688061288142986684","67461730409272146701789096897844373522","78809208415300406869332810584799328679","15619342432086687748003693140353310498","144593747516733950710098962475013810364","27349536197328365595583742426333584668","49897520303747555998960392990012646146","149897228096482269024474591704791903289","284874527942071608240830178279020861107","22219250835428997443653569241453894100","315736458140333903030935036034375944379","166769396337236301124612895577123276690","237282745550763343108861365621896363896","23540934829186888496413445351181932452","157513563297693493924498472147293136259","32309566583807012053186832688955796918","49104871461591232935264150437848733712","179386211354256416920908508156791324787","73433782123878602920580174909802984391","251430647805808230121278506203066830588","197856820042357939771092042363494320164","101625188711410129971832193781740525593","51445127072985974197395739677908012510","280846779611272600427215861603577113376","28632249233323061755117741490070735545","86055459539160237175274470610364878355","325914747868408346535737140777025180920","206953954929661509648914743480412916406","302213834447557870419819929075007437835","114593034875736799062704124864085875335","273211581413173638865167939751501159010","247067266638171983367306619287483136905","192042551591824009012592188930947725636","339886144609004110819391296251683297319","41015072137968553499056708767950938791","25748885397156762224585937093025089236","213742659702011950791256011291157888141","234243164247959064502198350604460728222","147937048889035605471448505060586350372","128930127363334651103535463500482747983","325310964151157868754197324217782278181","284781043937067269399218856923092969975","61788489145352241568046541463811610513","47475322628404594919045875631370983532","105843663505080911832468023123371110087","83855667344855233026262155065629556096","124019443055024550049737578438903140220","14232743369925385312118350157987262877","115195893368897826282547981932459415380","45003693673733631398326554666179128298","17115467985346707576428941501480260823","122550485749145729859388318869944217633","200072189690940004709425986695941811220","139363739058299391230341096309238333659","108311486751464005188837320091538198472","96139080699200211035603495151339674556","219803975109017374350066706304569599883","180228626850259403940451646088978132478","179918822925237121485968781876422058158","29027385578974631846783288468191388363","279474469302574033004509299659020581733","24172408029493094540880920763053722474","57058052875012106462977996435161900561","157785198734570654855639007780518620121","44493279568451132613344070149579050157","173578367427291132892802266162107717641","243520481491039050745222208031112197181","128965677547719624402716377623219574403","84956314462603816157960911796747967658","69012284597734914472104109092235871167","295041470020137471068522770655788684847","99177644414062240604031954012761956","291687191314345697847670315746276644888","59610522444314871434281676358384495","311271340688762977255653129980013154742","328211737498790734094747270749074445921","273319523016207782447650598682971126295","229230453846042853435132245121178704533","197684413294710388748569964158071896603","109278911139758711681656181222234693302","296170178358431930277480736712191933611","303597573860939078630332472174469810428","38394335042273181981297674312005605520","186334672270098425376714417175262951327","164686587834094668047002596587383314116","262152655189900904373999092828309657840","291016041448003313422744145834978494230","307648080119714753983773339252283309321","170014808120999325542733658233055171341","150273600665393723510265137676788697897","146505569991383784119198365527707735434","134707073162758798400898991692291165757","325962119379212829060607610159812287627","309325961504806659699420563780520215098","208541543218977435120355045573277295781","230853322900998433727865059592023686542","199046148460986441070138028199207019346","106927609313002245179927386011452745991","323504613031798487097698813952853272154","15476231759171315300857498723712179952","91200426189607798815478556770906550723","244446876601311780516277452003060663033","244852587577693375488085876635842776992","117917284806651301058499700426802098897","21548161591256679395953944296722650846","140178490659742024910937997240860773517","316764071033795773684223665344503820155","201009922689914298672915346986809352346","58360325813819210028272468093721324117","299241040550872457981076636958512430866","294527645174260664675343095863475717605","287620310361236506203651413612115052280","160124558275003502157984136601630624412","232523831386084294617280879583374075636","12187062438901339511500151967131401842","322331679411701278209472463279164734939","93629200403562350995047581716336202339","71500494608069848177232660055114244582","331813070056097014015520878672907475964","108481285269647848480839720895850561660","274405773021176813147616385664109813381","179677064765078468061427384033686903595","275291402762274039427757182983218455508","279437216637040943037543804433534157521","186144518432144594950564465874666435720","148842848764977468679155359971714699823","38546605678841763740474875647249902924","327901417766968443953251563960063751579","186061131404675617570752892830575532057","270218602368719929594461298008389736762","182160050518452109089160920500671891015","104413118109294568815699608775217155612","134729486357451123441805146598941188637","29001555278033233125973486662911064041","14957825031045095049067938114058940190","149275479200388412609790774169699417500","236991029467084119053677745072154672339","300946060848624712665947847428498407867","55602937387120616217957186407453849851","301287070120702333109062637655450829799","322360028131689466210558006760931665322","139705298659254201448694601302770681978","80050183603702335649761068219374672101","38488695776114263752828572740266598593","81999115494475615984859631887929681976","22798009225236134690762926008252492729","116745739955746345565937535518828440652","159701112601387668051129695569218927879","280491106524712131679164345113012878967","225109682730117435617056040599044889348","37519772803869998375711918673351877412","143889773443230232729330033483336095250","261068978655674971599500634485598536492","238457858061408636710143865215335492930","78783675868773451191112657530637745227","270435952706167769646613682640937018438","207059274157964329468928842540519260653","104166663381698784857840049954060376178","164283573103512413183231766881065809038","36666319428510793679917855622729974433","116984242887044931558610454687114280805","205263069515100308297476789258441891687","104505906830274683516949282707468601031","208561882817267455259548440477238338903","169722559316776292325583145489763393433","86157544399823922616185908466837552018","336102192939589877809310626666275059235","335215231653197799281184284773060607750","188606142310714481535579744932376778866","10620410832393249065914026433863970528","84000670323716993669893904724855954495","156877927878299430561938659395737558515","277258957304880470853561536276393733786","138217274762358523503998868448894692494","191044001767378966317934373585483794594","7461332271562716960179492937870906813","157319758894875667731622308977491712525","179753758331095872421725665011073142702","165629319125922929512134545537443078777","267833771089285059813398494409609917374","167315035317848736222895726103220703656","269282772181648902479925358576319532915","335826160865276542937586997729700047497","48685234929662009899262328036618078496","329596210590364730351655056806248219322","212380230724547086450881820520709623781","75648801417729899838489746315918013187","114230575208231274854767557207506466099","278771673589637768328339067589566366279","215970123315952194210720205675637254956","17031199918666249870882681233824894763","181588060270321000159477586927956730105","281375294305481890658391329269827542047","44513622009716777966416265660502189077","47615433089719234491585017483101880070","13777660244513728047717990221270867996","78981048494437564339851954396775467523","86589363265236923452265901053681394560","99816497491830277417125058645286610103","168018109381472050978876392419045337225","336796618608744964702367030653487432059","318525664438436995351483836780252900693","223421124202728394161177251169106475605","81605798966106597641724041763124766776","251666803909982734615064676346515596077","242848872010357272612115776030076311082","105481859993234548005843764390221317479","233874675698406637840088021713021547951","39591714275501724775693735456283094689","251707982293194401495988399985417739635","5275014287682539260208655097438710681","121432659309001259637124488954813187787","265015280636768857568710001418330881985","173983969804056043233624902437613300225","172562627916186975650964922146702952938","209272243167603302483865929168509216795","78813412253609324397203017318707860105","142873210019448316058029410311519316804","86324662978028252917325018136138119453","61926994615890045115378340388230147774","78285933544378597557084863291946049587","336756964840658617257572767138567475491","195646905238984484553362547386205950140","82440646910540373906952710913627697948","228727075008463515520861444174246146684","116503159358431227780530836358440075441","140923654345149932851821774880038994645","207283865081984993213858512578572386305","300449874131611436957732081287196334179","278756406940226361861425987541347380322","151962742940611248976087165811750566216","3165051122260433154122027727062983531","133372902744651848500494987026302177078","265435511561830074721873015492965219203","15006384171901821002210880504523398783","69470391611625378478665383506571031991","315917759853007927644831337840823034852","45642635460886577194026884967119414778","315528620841254455177906447889612315853","199654820197248752163361092027983844693","212834269759884561557173200537384792572","254712887738125198647897868100773672581","89438755666511094491262091811452695472","209073471084826261191088812586273539162","211557172396418224052116964775119432990","289804342099254284646556394995155712731","90928716500615915769752820341372533173","92533895165297522032389925309186068804","71821278390216593905793777092832408641","64982380590981209458293149678957551245","27046396580457381295325006991754973903","108006593432676785970174740052537284489","308351622582061782271264514109578592349","269602103682675781080143847759808882513","13548229725249418897738432390486790811","305812671200930984335066247813760105843","125225866765339318089231048040015791466","233279387520935232948290892530892576993","56561089764156440832767151280026161793","259419369905680488869176391772187021316","324393477028841599775090630999509893041","195857697490731670441250929743643414159","110866714974188609941926779849235084403","91579939490066987544571884635690859134","268713360484446542625546148999383405795","90684521315671718261750867361153046058","68244068252375994162147688349040965941","54790726779457287020289244810953789242","94549655393841080721983676799104049451","121694137916532554546386166801427923951","169183258667700871514928336180722697481","229767242654300200780920894631451643131","69704847236822429304910032716637626877","21776479922910059687612446267146535549","67165052345185427820733805822857411333","68932782057336797775504231225766572583","120849296136384301091107108569922713517","24186978840587560667270927521595667209","86678654185966657278106205503875247734","131451928639703370125678845854704710273","664073923057740168943777906818788348","137938811703951904913424123639541020668","245077063180605159118877478407059774932","235690887716254706679970326003301453660","285273053705540206327571149579521199742","167256151802329872269082718779676613255","304508735972387061016859581327990332179","200906590659042258652992715550004722153","139081082538207084066194488592327970648","28864233422658438939797184612119726419","295092059144369071349369580436607311000","92908452764336245279611010227934246064","124581407200138466167582416743685003696","80094077366926937727895379345404351643","1099326484917566127408814653491869478","133044788722367990171260070959057101553","181874320820220691642190451532826954302","121206627364289038153722602176085756881","249380251581915408346690691034870043985","93811745520547662369159883656502874137","183732114715332926623442914645177510385","24008858901026555212466473890373422968","32397643300902267865207543205646638544","264868203402737517455388761249808563641","217368545768688650008486054033083506339","221196537416462721268036464626857712563","48275611787504032307396122256455192675","82705716098384377554201095955270303976","163123703766388944629412356818273192819","295185753970936820243242657649319212286","232483954804538384732876458011563511435","318648393885194901410414301150601215838","132117532510766313824584044175265873418","271192227353688215812736723072327936586","181236552407968974072722727841086457609","202863228755850266412780684664150014459","189381350092406126850377192836222433012","232817690387563071997872444483931189951","67474172245834921055485763177335457233","225663171623334642793585381226788187220","126998547805698965049108659477813180691","138788195626327278681667198077135444957","1250234255647558132847378079246460698","40068229510966905499231502422916412496","261542650361722910717600129898353319462","181397961702513072222831254473257512968","15473071152977224237808337508768666390","246197864690792345803294886328320632759","62606283675834926546707202130865840745","152564567740678117343394358127925992625","28127913130901499185552224163131927504","198760249563525948471687181766211684495","78236218531362973172996689443606398890","226050895629266742568642400837850172717","70741259365829323406742858258050711080","262760084691539990043850318555423281301","27587540264114883595142927527019371810","294659850349319479744752315645965212277","82782912241572538518192469570504728521","171323681715375642668589337447693453014","15815926422772407440266654287581844568","232535414133862140956039482904069275467","149670171659432169651878272572693454887","93243025331875456039729711922783018954","276745476136305438892034559777330233603","20350607745420695658162892196880880992","286955349857982614058082686435467948536","46817390263334657195322643991237469354","136574911613648206481498572692412347405","254877147288631409954549994678916547758","306070079386552798074028861005227225568","241925531482846132154981850909512984337","335538124424188598717858333088884007116","241544798783082866182703877805465127736","255704185553590415256560835883056052663","222947957677023520195654664369478031067","262203087079052591339586241963511095629","52627191568160169324319430147921233928","291357640479674751914267721444412596551","108445593000256019329154164680435577011","259774249803622709596397994862797654571","240075668834050645736932743093832089599","243186418843830658691437875485193019166","112329508232421385708170781581489906016","96331614621401350004879701104393844192","283757590844630359033335596248903565167","189732440743898511300437095560596568242","278768586835661109388890045036044750255","283111318050923029460777347759969804646","5642729824013927847851331026897362644","115205150775564834892307065784761449583","313762226052413650445879717076727157128","319782400859427070224914451794273725010","123261721067800599073352629525897309740","323353902649807193046634444127986354124","218484481450264777528393433396614936332","113617144089774842627498305609686205026","25116674471960307440194470046865520507","280580508269372096393416386581666716014","186533272409319768991783118537663708639","308100796396356234307537421484928808473","199225635534052084630075132040853435838","122453460209859922843487765690367652135","190068636353788712340625739381886355667","201498989803166085424652199712158094438","241694106041463919476330422222064916374","135924371299318397054186785127895777554","63278637316542972852838436777200794235","184680268866929164579175382346786340931","209185542067080158325815084208663841593","32000636986132796268113568963755025713","118223799582638654791458398026961048704","32220842910262614361281940119803795737","309339122159345736080277839368887359918","185459832036374064197316938852416785779","334726650649171058155725655915483531269","305977308364449234159718416186342422535","212337307608792291641457530299925957887","8399343591770089057866272766715543969","150713705624753829342762318078977899569","161842136669276046443088009991881353585","250247992331116612225173781845543900909","168914855000489106408072788511567309336","10827376963386873851795839057575336213","321706870438091217304179839192849899404","291824837520906209351720352134772359537","325089323520639204110831414399476111786","265554959262494826190340599036610623402","110149664987487653275627933245806854990","332722095540219359360968674946182188083","43666096727627324970594505269376130506","89821976650278661240256072624993008141","177656975883807158249449573963265703651","309170636408283360330858127048894999124","78266668388086816167867627404041328558","162478572523372460620591195561017668710","271120151330335035343218470727731795984","193794135820472462865147184587177472480","239925582617099347097915790319661182809","84138083563987157752168160032492953252","50518758920506905577244249227715122774","104894619932100909374384637317667431742","259540005459743922774657859802264032834","50212302446563616141137281335662809980","271285416962360440543212848096144767410","338724338086093533187602978003822539722","197784739829407299857775264674238138170","45496033867998847942127144646395902810","41580102373221427064205371807068762517","270160356047608748064212755969299046871","298122494691145533926653556109099179872","88901561201590746653288991694717900342","67336851732935160539335805998264025345","156664353258982329503050032577591935152","162664509100501220252584385964802922914","204508743119274714310079239299040892610","198927553799686414053702653597304132915","163253536120175720170001549590808509112","5529406130004475352823482088652868118","177430942153063531198552651271915664815","51691154612418214960245719520858977607","36025785819756238205933741198797124533","184656699593403160862844707918051741601","69457352383335326808294423782444504549","183399592494666103678647721080138072806","209053248634938443510352957494026163505","220494125562350930041469682027036855715","20964019954923800350082493904720627259","32524466349128272872271395916478529251","254662725628091964943898581845651439796","87256954789761229723977244160434218353","64510970239909882959186446673447212735","54136402113355105009982904399833470495","223266901566641822476932630071249888469","281137748303411345459658050572128094771","306965803968998201256781991722489512725","11097581893628927910902158836642462559","275057728831407459364264446359467584567","24457262741560575290292783259378756680","249219653150861703946770448125115562384","302834677329065260651829196423232502315","252430407256446638635161696547876940520","141069020327670364589768773310206343399","305573961193995740810851729079175065162","29710135322724147141385089505991710792","216981594960985507928814663741074204870","152954582854329573745221223340833103059","194995292862210616225705262058950981207","212151228366237479623774380238464102828","151450026738599196698174888173622702672","131152630658264343751836551392801653422","184363432244866659474566177237268841359","273120280816125654440433227064158333629","45164401589886232313259173963679281287","338421959002489113850753607657742507444","166808063603553567081688848465096956591","81092603790446929154970236426316464941","46879918812578343121683610360792523413","306907548397852499028292398693697787672","311556598576718464209239454077443904918","231783268488502440973789230474189681441","20846244354172746416729777663710058430","155641556366315886351766232450942211344","55390486364299685329009003296312496080","100735498900179557663633431248485342441","106934737667181795314308398689032034355","47801718244246631044118897132190852860","22566140425100984873313395696311612951","96922753024579692490732437425390626707","60396751854653158450400694455792110409","15375536727573653421319557414718689905","328190028807419393759566942889100723174","244786271629490463958955462820110925490","287425491090046634709332565059512205137","259289895325489296450066386560323227754","20041390762579304742301035336449372384","121888553922783413953565498037109444610","52447819925780580530956299853957139532","206364284163624169161085346899980180361","188232294194056409360386333154270177978","318165447408530742471864763168909743344","113864764956849116657801252414163374464","72192639095822451864809738801699851246","64939317532799005799266554488714946844","94640197248768928399712188887117133623","166876523569309774007322315736179356538","767461949413091200189857935561676362","209462813009570939769461666270797668419","199145687138851395155395891790356625107","4265508598677310381081462911049626976","333068711531256167263697398170603203423","281963528289917255633769910434798077951","1945941658079438110578284304672205317","36121290597378795831485949413844664201","19444929981111601454565845007593832276","111272897101919313136471256292007482191","321499483442418242103598804742701375143","157353813241272797404202527037210622354","188227966006375438431809168639534283228","61414629465263558695146960998382825651","339792949522254450449569450884247616120","10461045796026328079018195668103767094","237570316175553314243229478305223654691","105619055426685271610431743358924795197","151189478858648957358817110480206616641","284328702725309182653868969881249446171","61601495300076122885674051184569109245","52470817956244159289236525994169452406","18961834858066137961181077370036909301","123518413261507779497980436823680074851","273214217921571210188155687734741877703","163741127988702082457842783217202421117","5273950683476002623693350234430702635","150126513614098598371429382745797961515","35504537789480379082961221760659301129","161626565112640270542211767255076775637","96860730220961400193945470551939257780","158431991264115175536322864940050159130","16632770848394847424850345456286178645","74196866005404356758954291537515808670","198589194986290104467221105518709793083","64697919047137710661045129659878817698","145104842953397476864573515071497534382","304708447360905029541404489376533796903","323161466230099441357878744708431318822","275636169452443675800470323249063137536","49647480948505803917895231980200376764","42808554148429433868272109029115967048","147099235662218588417398432426244174071","21338339282974749177267402671631250520","59726756048515160287120159246181247897","307861793986312637290034764613152850767","205904887979106450699203308321012468131","285777222496121113126301242357136225357","317382735324872507701619967667636174","101016798877934858449007858105099560604","54331854935781164153376619995713350149","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","270725517321256498492665963679397372108","176380056126768268380224615341775333817","262472005425455696233964879406382397357","146031003909897232706984683548395889851","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","256239812442568158176818648647164278916","75210658525860799794408069968863837612","281260196325332495919507642143452679713","131417056875581590122084109892052454614","110657513022500086632099156173546261305","38200631210602709727768197864401007408","336521961561639933645366714670385997672","259414995654485698895219044097731567280","339069062297712354539807862683283377437","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","235359697233957260259383360604931903079","228662795857376624724777692800299593026","171617409414812135857236210333158946064","200159736215110629224915471551896982584","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","85770080481689436157960880302145068937","325750679491288017522756962966802361197","44185064988395974014519129470971411257","105775852885832009951367970239999726374","111181658726073145847262779349241558338","233897904358155437870526195641044614920","191511066289758988837796923577407394222","252466856922904518374838490589902549141","2989108857014341976169448458455322807","52924964441050390824978411462035233384","207837966401809394604707170968756008607","315576578678729190405353471235565004045","217645066247695767503874847711499622988","272767105686753937520069613781927709269","161507607158892315248850583373154574848","56944887837187946370013655912901308093","182401094409686356528693133033287419483","6572117246192588898779415734869335684","149780451729998471130579814855643441702","193122375160107741727937295844920472909","96081123175680126024731831196357303596","161422021721152377192695860599455656333","136565509114101745085906616535493410879","39989689767448704259378339882568891521","183814346722837429029518291751846081450","320150362831821330762524652424773514515","63257755024453635788242629182761309152","43737553223193932208751662417524851295","137890836716886574911988094933070745263","337913760133357968181251599802008048880","225533524125537977017000430891354334011","245727491901346835552450842469795484073","127969063957487861107494298519791220874","242189950117755058956257825713274705454","85877837229231937043219827349695878412","339820852198686484671271971426464724588","240195742627226704421410704329797574498","68932256613427601812793645334855806584","229288541411629953555907306073496873845","223360874305138665379058809242620578910","178917189588880956894753044235178955755","3869772815839526823878086486368170831","330213572028534461244683358213514579729","322590230563965951249541220561279738955","63435085108348635562101684652663059131","303899759549979473836828295474813538028","121664006561825574040257980141226662902","143088617818518438950882812380717551890","40036708958166987728195530704222513673","236689018149459037262480077398518399035","216772936989270860474622685670867656850","221750907196856474662499690157102900481","278041468085108239044909710590124263461","232715784120813595359194186180883306861","263220500413045031008637904593000684243","51884817605761905662868804570514481606","126410072347965884847807362428272143211","118024140549760337290902724884866369050","297140701234667569527578358644829298300","34930229120840407934883357074436072460","87231562143827104310005713481276302477","212485600380969387688740490212842060898","92965718311270854418106073611252437462","313261249727477239627064913011166949902","338999640071952271929344275390787759823","105800779339710181169841781825669959114","314548939091621414171965287593162544937","298639708155939402119447405555116149127","10087221469196771531431216720250972244","141112348310787772773463526230531982443","225007421556279027544567843319048548019","109299146690274667363716550131010293695","337709288727966539380718869565363462052","111513318900886903228868384299145791870","197566178970023819356356041685685382970","13863174631771414213801994266777593434","138916666442138260283852917406768900875","53875428221585493299291370001046790335","105701398197643320581029254390146704674","166064188888475030358360907776695568561","132685691886186434348568294214670679237","336586054953238649788194278832223024937","157172998426534371087920546694875605198","165831853862222652000209271641802581599","176990211800935221076149431476664777492","63498847252442613882540484381694322001","280232405349188283099456435195667221487","195016757732796795213849311866233500184","159734698766626883834029237377681774321","128076995770971530011157936814384479456","20954294062435306660016714593240954047","37105298274125275972009551111731987237","308846130691902184284549119300259784470","253673076553720280442128506553219398165","25213898165134112383598917649905514027","279746178178792323014032559156413893158","129642021682030165897645380093810100341","80575067216294549040745510640892256350","24658563209880878151524207219215109322","17749482120701349021781314970600680629","108564345176991196696722270727985744245","157786212418168690027145079659976398711","45190466579789412205778247804645022402","186658181860969932692589262754020964375","336543319614530156732068987917783544206","223151606481241374743036745683932297618","62929480826644024691609962144923886128","113833523355088269179035525727646051851","104223508860565434878016368795636601646","75651270417953396062926480148489557372","174374932499852386185632991975175145426","297889124648730548969630535325827732425","67308704324932414163088466587522375588","37983710432319506947815148234712289613","29209876816843671376943504669687813346","271490304518606864724391872732384960479","199811889134501302990378990071487211584","115508694784759878162471888754990303745","114802308423970995319883596670912736479","224053443542695789059618031862387284820","223486512415251086787163582744051161300","132898350555729690906476925264077124314","43329362047104259417091741707278521642","59119396454422937342774044187468118550","187950534479851286095146853508047816932","271122500079015266872883272665142805655","19827452427953823774000812752666264730","20515810282830764112628967759152854407","250763454428476327345161782577165585055","44435672184426536645320089003318703072","189122721893998879778766012824183032857","197619452400077525145492568943252212288","271294855858279307303232485378171199146","310434104584066761307540674381581768051","30520595554478847575444981117302624855","169029286932817084699097937104437585050","183757936760195673124002290757990945385","85444196393225256852570042938839980990","270970974068464031115188768412290249703","104149602770681244463312246338066071627","246189122406020513384493539723703696560","199098105122456293696360880089850213091","230851043199264719028572763555829192307","97709344131660822454647054358086919458","303247962398921014048423745430343972026","326761342234243179838693124008213518341","137847256294224391773048429772119613293","119938996220326934253504848867596337871","123342169883645077082846034607813128753","6003723253685788952422086162336396219","38433305541461269219930136825054241648","82423321361030369809988524434436180210","85430313078720489731633677477152152393","194034762602617367130919191615066892811","100926411171039082540491778331797118596","125870978571301317539555313085046089558","17506614375370048021458864785487422459","160567354537487299006113437105762107168","210688447598898692681620923412015083229","200954011094694642616825214008828060608","276597843094835290223864092826854062539","145698630544070865592502008727558471263","190576364407915975555850436126475797971","113546422500781613601129425961320146645","159093820493202719640646778919950220407","155760916781532085343793165687658215802","115368168465942290894282401091017322217","258436841142975962605991666270103684314","38354082300922086576379932575074328769","2605387144968747593489596789707939144","332091786238751106528097630965211507154","242622772860759972785993804394637996810","118520816656603778561540624558072028908","47303997046297411736816825017690943262","294288395452778654609891914439130151608","98210867425345097091495590628516962357","331252818617475784147412148805462316231","77537909416308137973888628978279412373","90423555995137365899429961500148754881","36835906798827688818333750192065110","320841229821270540877743924123077204876","159944341933993744889320851517554497605","233991746835298068681086384904200878183","181058914249622238013826338699576523286","76912640353249331170281856172745678788","221769614490822504490547606361263650160","28944734158700884045690883800892068316","312116226498054131970935740401128037582","286070998728871205487715487783728061147","66331692043846131340727303756114950008","76697762480500973911455733701425402167","160359073329010250415436361391107770016","157976977743917710812254077544331397596","145098044346543090112646414784705620615","283166623794354888648914719835263236136","248783934959537408377589188536132546496","4644986743464966450971492939178338581","155651071732014776752065647751975679251","128736496054426246411758927787170676695","19157341417096450241376984727186767769","338685421790007990932737118712775298980","37845329688232632609256260679591547994","319206196747527826693358412778394527156","36539813724574043767979579255647183227","328764991294569360769973822825715371846","41565568178476754535824499536162835642","237636299054491812255624331414772711622","53163380216348415386230704095706255868","144732117337302052284235665413010108291","307192755639523644060722378311436464590","58353111226618816870743593814119261459","238831147280337996462092309112606275098","160143045067533051613579264163169651781","230721286988799618467815559902895634469","194164062122738881670679624839783306512","93444330118611010831657996058587269539","63722166948648831781357986946262703965","180528916313257522450216515950720732610","56171156719962256342803754604767070794","305040866876640351798318340469894066333","233347011220572620368454396109054308472","170777657962724727377009574738326601415","206937445988091246449819978960945479873","251219742904508403043552541843899534351","267318902996652866561076593669258110102","246195066719699930171132267544950326912","205136758698444791229028287692784467911","170536733306768338127503531112089281593","152859220030667502463387720111223871297","139111457344565130748552935505616962892","266449601934116436514131220662674046893","267128174192759074533944417175911762377","105544881014477852083364366524230112733","72998265432533850653677598425673242973","168245471938470432833431634909822050514","42337640537444522573324221804319078907","147332588752977817966108945447445900699","269186994305644330646514564798959775037","196784399615393333818458084745279604347","11789644041456642617964832903623629362","24517043225991968309470234300021983843","128922257593870555233167472728822843110","13494312719821358212549565985725224183","91948640817633150584959859848505047207","123744024677229843422418394353484771529","304827450985974310721937163871438786533","268478438822891101734844264047758293743","264170738768684329647202938060833114593","258365489545470666661776127440156717621","245466287898644401374878346129923646659","29738113922170089856009346524184027222","201816566816097406400310955404045734180","335476396176388122156547664350496192029","310817260969347656147514080358294894549","219447229955660343786086507130282897606","104597549663284892145559108204945497977","236059047669466998225808185404092509920","199052392405019256742266844556768726494","18661636920333239317375854224345406235","186725799128764382694043466279013241658","187889224073766121229436081430508267688","110718702384304084736593111119084597157","292798017991425587251766689682336546589","308158266782958488708121936367805541390","4131610338975153819778528101859100288","192371987777953620962063231323324464363","230037911271213807124828445762107436968","88722191260281722325478296987215152267","125690157855222183774295764531880710348","110272777776751548245672118193742474264","56144497936743431267798832419523007258","69206941093161891393208239973583815488","92034149719257786454727020650737495462","10849186142085810526359933644551525093","17134311254310526747927012094735827894","66162463480910396880620077543868917913","262089408096775215289987932504451693656","111843932550478652520597689509392246834","224952357752979169469760186507872632437","123222762028545261311730381244289839552","282579178914242047091885624580709024784","254264514258492253364684557507884013562","51106502776103468614835017526080681963","84741958166276008391414852209791091821","134331707866458964881462982789085088446","53151687500920390546200092865953590891","231354699096876673074309215838753453340","188708025363021801995749653832586917100","191349866163382708583533611351524663217","146389932814843616839796989345076742973","251362128981816101709783455468135497447","237296471970183808369650787932428540496","176707803501576712953687795138006148702","150875556775797094341122543091022372920","327066569130109417245752918241794157959","233998476014981662960091345993424301214","56229343333921656620169239276223945672","200497498476017000344594195692812687953","199358344790954244374690781761681940597","297018839836963830751548275943519218160","253534944879823256225987684193007595093","121568887938571435068018430727372272613","242003916448282713366871585345206102353","157395713137939172181830295690078368292","66587241905422196293998916512476629486","318652525120021117457399370943835333162","78520624969252532136231614746303602063","253220346171039110364203550895784764257","153575356531265076416625044519915180119","83692026213873336007901900381289565712","13739696540746599886387201678700511974","65777651356674279019329769595598479338","301071388711306634851662431342151613826","285716149343449825739239969887209631393","40581896857422550308031617282075523267","129859501180120628466195480995287384881","331932884184647186020589978202734662235","271323258660202928441045641467426541252","202244867459256107220507117666835307215","24711376543256950413847146970470396536","232907350329973869848276719985979716050","37917707402062532361419712431368097785","34764016095909802980408966456944388134","171139197233761765121362897877462703433","314142245910759391202142403047559959484","5255320121592888379066362298679172459","205997635706429289492120147485545938348","21273650588841380297386773320222447752","193281633748670490533745036449793810638","86518701051077028029902531136708810715","60356866249295470427642175068520349548","55287169760070121958115370198559275128","335917100781770373831455690669072276743","132892116524106747946272969858058738074","19024755025729897979593821193158445694","332862380800669351399493389622151380878","198193671291399065430214882566009216677","219160007814309926610843135464486801136","146347560035292994711601863877425355908","329550933264693081928659178880811117133","249032384200937390656512797225656372811","307209266110499499974425858978887279579","160496577095221502684518822133939937992","3440250433876972624666120966727161701","189902308504135710028674944593697876669","340259071612308832437665486567316881479","12202166231721172922104925815085265063","126212347655772866573594927874206631094","38244314872716063706342009530054980749","218876458577438928662938418768762659005","70571917969922269519490218543147171342","339680240320622170299034919958714274896","120336875555467260837523297312726806482","151769410583450012781269947917929943815","169384152968397294041324093700589074952","128018132598251218895944602909024146512","329502385170717908414379628584026116134","294166852661032538096887756703463555024","95902992190770000643826578505167425660","249062283350718840233353864272036051000","23005968417620013797168383049228850718","215620437968815728520251681979258606801","316336178937532906752688942144730004699","177165623202420941105758315786610375679","231121274654051589665574689171368437353","292842994077943311934968206687828542027","108770457047102451336431598130424584719","290375807855907984032239149757958340029","268804073814768306487792052115186720227","262541448017964951024787756486105896361","247805560784160641143936716237381627207","3104803160004958990695639134982505131","315115789249522220586906519719793404911","178387270532150952849384966692240087916","45414787411503380286616988323783006402","10098977587967456997152947480234377570","151341668489842556163372635942104557025","126047242193757800745262916493498256492","222109130680495802979662277338837117228","108773571729937297504823994467599584071","85578617507286874161807965747242760600","332362080427671085518684581558236457640","201762652239981065754263011069641393963","132497659438630892542820016354251299599","8989376294968109440469404495080346396","83442734663679685569806252791547598335","22664034244166311508871016608467417280","214757918721362042298499180843436502243","167978290850426555896529260910091794148","331254036595527862435742134124574530780","91565286110627573781746636367069194534","198087823317421052660401817676714461391","210967169722303352215290290389318117110","78346341700425334008217464053567756011","107764168532757965495447248730779908691","226390041416427539875371384511154647300","339697218061288118950642883000072813142","79723380917649918865804447593842733821","80968698111156063041492014373714482573","34905274229007043820060494492182965152","78000244425697207218880689727184928028","235939270700060475384033915405629485580","275480340235845477819846494944608627954","129220230166333869210240346409807427169","170999122847949649902319396444834457362","168252096875515712134363695256063813786","171495103049224995888759963980109315016","109244738812406404920442308867388196726","250997675192589613162897734015847234331","206167184744269601781248285937062845790","301833910947677016060349173848615239712","58247337285996995191744282398131128571","257114318857363153866785421659960438513","123838520683033558806811877999553516239","270875418127358975997469635323799927742","331987957797736696755289952920105618986","105256364983388625156967238679181228756","74662297709216782000306791929350060045","313908574208607903575847794239017914936","63226780598313981947318921122347847115","88504041476463002917167165240829538636","308661414517782666790792854269272032702","266623570139667995373343819462122289798","155265330682706734993038997178895327103","45558366151753636895094636469571529743","123896460408858817352032303821329009995","176344495103946508658823769299574328769","112575064932849802546074011050226637523","262015020419591825912466472964277686017","173566361526734014649329472614587099933","222057178452042144611453534120180900440","77110735216675882337777970655468245609","207490610048739110107055048855103592375","212313394153417881894443958475395215339","157882630896646656773906756125201663416","307554764676945309175183776777824398571","35234370878553611806885147944890027265","161929336731040800688611114063616541284","79504657976298783810923181536700553361","40813500692773259341501623083391447461","188385810322670797236801729260223250827","41207762398669947925026925628262771647","319434116012677003770209662170627261768","199513046967320150913509754625417994989","148949439174456165570882917758975212095","336372898232512256751988114863862463203","65740799203140839149075110541934917597","66090205613942210651912130105492829722","1814091820814240693043299390406552861","165099038517066990257766085353785596409","182709088287913854844280532924111088166","32444021847368112234228989080399871227","211304424430968334214852612206299462522","259945057784048887592704463071388673827","142856025475158581025958160441441115284","227664879710368255839726700207349162877","123882932664261090219617937697891374644","328679029408752696361266287473217559900","110212289985128706597479851043336524727","9779346696137383648987197435506430020","333244865206663085593620957370313988989","79723102936598767034831202622817732424","315924721375448902352425701504487151367","151683600115802977111518203132715730670","49061551649187048950691229056490443465","26147658481343780398364396842902431168","152725973154848079149931129992213065736","309517752366008075815951827678113511172","18007966355772804065100656121758165082","63619138277218321046035143973066333861","176747269343743458026934813965120079034","276663795953729871750741537031484299354","216962251397623194415476960678114617753","69347043107763761614039594189987699487","155786378578489472905617531588889652676","8617357754782205277257807488287936789","125823138084515439475204321708544241283","189141109267166245103300801041746881972","1518263014205108248012000953196273612","315076749210489875970818519147542266714","292835988879572485143269145466506632532","270646706002064967019681472386844105142","242228686748426838885610011549068526320","285928618817608009826173215531165159936","187896342870943992558801950519797073253","249584740970717978807452369638703480199","123628333466887984136699887270775665259","141302561293006014222817986286550197684","111393029003961922848755996612672070792","197646414262755650654074130117508201262","56247187950378301701750357903525653581","275797619586624360907204935208584772145","46382760046843572871621379632248058549","78765552685032908246395217432963200197","70989694282087649722151000957705445040","324621593202256618835739593442863638241","101548166740226282558157823487377489261","281734023301408956270346421284490219358","83773750699034318828536267343132667350","171492560532985546504620830143753427984","130329624103736421697284273882721121210","53045902981684661890437022428135183567","324601870938560326551107508572430649518","331052401291889538142933588927504132491","124742761277326317508327443106327098292","104930931035252982662622568038077794877","280807406186732690397927744837336930004","120682632598334084024596178300678618855","194652344700582612491642107735478292679","111838996659523256960432224872851096673","221468486990570270536306402944736589549","270798651220395039660625601040315389685","106266608692233006308966086540424977395","180649507750002065755361626247104822074","323775237729571603838186429683598991204","42011019927065651192345735378060554025","131122116264102717092687586623299479391","311305483521742916559013076152298679894","44169372210610102429268837466606426705","90489935665861265184858400012536754425","59413184195531391537710982842054104015","26399275596508931763497626083972762840","107037431036539674549638536578146292901","167254597633942225326556996709048375745","236779524186594628102136195827228227907","255865647821714957687711925685615373432","295481379050849258269192932145889472141","84277003340029661706145978701731665734","312263366154516964692683326684330417633","73714002329803083850168861705310425227","60991851069913879108401555005393502944","169200258556248012507323659489531605521","153399737487656898786392514273754669559","93106675615153363358609699573775626202","191180128132440030725653516552133282027","335657635529422149667319059971484681290","120343403347276648821572422591724676930","146448425908909101086679401274012063417","47259109751325491523740451922704427330","281691247234656861047076780638327690153","221373448399418398142965821709494907787","146216131524015473361234182370292898185","275171982395565862466852008678189299226","61396411308890557101440258012461310819","165556238512297350759278277992458417717","282208549636105137355228052502254593159","223730407677876239695142425502719543546","147106227104906089060953090674352723283","103861737621898824523483452089462490757","156907309730176639810734801004273262444","76560836058403325006697671953435266346","6228024369975170540361308977586483465","108460819539533334697140767604267901953","323419354617086230440176792680405219279","331693711829512398261854610427835345633","280531761124892089117763617345147157025","264322999517894053687714818959142991835","272026211576095166014313216826151168810","297484225596459470726389528574493534483","141815690820106914540460960649239112166","213565186141096819140613468215905407652","275741067231494635635717601204539768013","11216353884067808734879885575867231628","107254852118831449664522669613600394719","324329992013119750528658659002315523007","115426348477931597079577040783899796408","125466271622027398639921398550645997472","79711702009100281983562005560386984566","10508574525170051006366936345266441110","295829928950077261821472238029741720963","141866524194399220315482737962893195218","22398329789343219750074935730173187016","12105698048124955751333976572358715233","164763049973369754798793020489786551315","42882439252853548134154057154612378460","328863280172055971767286656866487343000","126942345726573883542620065559886014807","38452770098363013005240113506964010054","136052205841164808077466413127983753933","117099988203342852777011088043990027954","15947189504618640642275525588384288982","70241707293788935021320935327129352089","278163086329066011294337593029316002334","110885368996078864734856516796313992067","283692766787071446757786940175622218304","74576484557634216790073307596590547778","270144665353396669007402672410860208934","117419530083188492214258424890151759529","260121191164467004366676696463738804013","268524779078447998934395865507927871988","174200750842485760897092771658204123918","89163925225798151606174949843719707118","132896326604682449507216865042149633538","147872371377260837749632407041620934024","113825242888778996952147854506725879773","278294420693091379782837829104798932745","59987696399625239832965152220186095511","20907230267100584024466281355757472867","276328389980316696907966942599597595955","338188812465001237024950929654544840852","317052949200675104787135653594051189109","141446541450236975567298316510576521643","273478668208062107429642899755553603850","148514700295411668191701150918253459045","184035137592025705383668199201062944715","191073010044198368095622606585885750904","203366500178266143174491639831405754640","38066457202863845509669186890114053320","41106370121632371277518590324503115121","177019990708428744616070634464376718536","149906560523040909886578610729380369986","332808759914247921443503073427058367344","106885336355892279672909114207262615448","200428051400352415693288335827991433427","247055671351062531363809102120842094738","16584360598438589513653600977288610646","60640081830265193544871548663390226142","25291968946341017243958843496777228753","230127315722078198289909385274701506886","40911143070417075807988044122801255794","325614994707642804550474477517170908504","173618068170620960859925270250048436345","73714878761152960411050186893237784772","94061182525175415888718137211362784837","146046767883206556863849345572910594509","330990935972009456004865962174602337060","75458175874044146734821813267682231492","218889955205818660965874237825935537529","54883274160564250049013837649906473149","17706498189535004701963910967557059844","272791820861132557196811834211704099016","187490619271981867469566904257516760091","136939539089732103906897084931153345210","172112538003411987276476140901068992941","261941818475079629660799200258434216014","255594132942203658517451078010510718613","298987187875118848542856846086469817414","228684299876440370106765476997647116019","210050453513166810828619979380520853181","233701606394590831007093763273211320969","320533552452888032422509597377375967792","105873377756835423229430374084661648578","70137460295597419654352443406826303983","240147129365433243592127701180905483351","105678538112847980870583064963221976689","36177907920996605539673862303926050133","32719769260095045158421621307110423924","7333197211756537520082061950496508473","23657342306373612418662463018687049894","102146922000381038628800839211925104047","42933311790404672388641355636168609106","335627972184395872934454881890833003938","207545766056866535715324892178939131500","116429747207078671321017779571433727506","135538958202170675833957726713556153621","272794884849127244675360953545049264401","131453477260499297537175106985340665001","316638266924988536115444946841608017479","287561650429510896689829846741429644818","286115654953391528561530829293906022991","200540005413176877714482512386038732704","184781149416362755149924120074586219403","91906853573366197428928749987662636047","68791059005296373526797583511053784002","241676405531346126437130508119799203810","270137227124160401754967258773856496438","181067623931238882678994894560703284923","208846753090579296899752076849092953549","106678681866114265935985076446849615825","159240151653702069071736050187687557879","250176617767175089695565722954668536427","195788209320184168674229931131959931903","227225612215662719545222993601590251277","288043093940779248998007893044488747044","195625285462026331302735211073697898639","19974668644186744660571987220402092682","102392935893808274102007888663326403558","202060506696433170514154777782529140403","247884884527538980942092747818921367650","245728170042886026871681867698743626334","50030467255453574346252608183336696797","49139551932898039346258749458771142869","17745059022357320057616317685288712556","9986588109497371773365012106973466549","128751609279987572355778311345286830193","116663625060768065019497708208387816166","251321914461200207827735301898353798767","226307072784563487857042165439987327716","43501159118799411176222824226364217033","79113869156063225038533582349872431812","223241867421533138470786414235269442228","247809571762020380258331340290163668986","11103755845849706064005797553508564304","50376236666854822004727738688467526525","102026971008416490868107783274612912290","313722548895899748043917254802880594665","61131044541868964530949520678780378088","56480602663191785619394223472157184791","55652610335564152937195067882669479009","93867560940035081464075572065391943338","88996667053886185190408301072724540028","227270813334120718650206327595293480758","35394074762357382863090480098214970569","226215903203689606781315962905943542951","254119014626224865532294219126367880199","25550044837076515322776523316493882920","239050663490040045347578530170220452828","190447170275375263886166590007664836755","235302434661716549340700831911530835305","173850641809355155533773982909834140627","93206689074113255246192206366552495464","211404924317950412938656277411797398937","115477150433213604501640838134745708712","279639625188594566847997823120916256107","192070156327382329797423776291493368048","108590886878891168414625792540245697859","278960946598884753307092273898411729942","280541984212453746942720133453477595093","227532245014629916773288688440234998180","284178000237196753331469684098929827004","322319837293087130689609884774043077254","266537755909053757547901237169585591531","133296684657438024423652710192250477521","20371525565075501225125318186092410765","72526025679000666491498977591348935404","328596561904430832686755905563751475928","65610720757419113594048460049085978614","195890150117377812378718035997901596709","62988568819442566002488431003530053668","263924317374914934762471666290988678986","105936668883192295059725795780645355087","211481282351794978464940086497493335790","220689238524575890087067069278106496799","258737254218171247450016573623310501069","237600432281271620851209106210164020304","304033108863673199274415631159849934980","75777845286577746478516066941632996754","212290443417774872686665605562100865911","57928241913172725463468389940166609753","204000500875905537894576123024732297333","208164268163196338818785625071287698814","336396183090488626992927568370738652318","72881020599208209118958805651251002117","72182703855373919708734923087469552629","116015995351063255320226922941859039592","216823601379879908757050269613681864661","221085429664778006920157635385507200354","179039167025979730796530839849274991074","270154709355117315964239309591495487635","217244353938754901121619063131148917985","298821585813694694967468141103484535798","95503546539965721350128542483343848028","235007309598345807595193635475293860053","65957014899558203964134814052722451623","245989408189667623904296388379742682603","53933591988772839852254692039096881267","169755700985244588331714328340094149413","308445116408336182709622856540143699031","322552099240228931221009041862725227353","69396550042413684703113710747882897797","326669822662014979433885662877283920618","132542892089302320993985633274255919863","252652972573941790172719244761036543735","198246004148101237227800190654385326995","238562189878639737459224749419643866269","33257681608495170287838454404365072643","100032715331238586213138330451932134825","171523718849865580665127904915440171187","227592246158650834313062909555310009907","151320460524374715038319170252554801620","270369274422017743012021502087329911301","317354041083227235866769871372224678787","23407421390198979964315797935709856542","117302461282508592343672779842165903197","82336067189242158844947937374712808772","9227815390231837207348355231192439857","293811791127127392322833713813670132327","250699401953107460272361809078271642972","70357347381531752324386434349544581815","64263129773047048999100487813126246546","35728850325614918247019824380224446477","5316967753099645592302543217021201341","192248569521443215673706878224111815477","327825895632336672067505381815447552422","17683092414875932493861407903823277441","300549998480245867390702228933358042287","41647606412417763414847998071763063611","175961895780383212058860746676547764727","160335530100326409077500737785181033374","215008163392992952813619407844134564726","285973806402690864796034268617777571505","26250748362456124697691750412341599861","225027802065378358237156042587301863743","213454202160353549383298683264044374863","114392720546993361125763386805473818168","317381724646816345788009760142672697327","216444340974190437313774238852028273775","179746433776103217030355021552448265942","193667470190136181146965421546123151320","41267702571438272911504569207564519554","23247446165045163933514094351367986220","180073729331211690683624251380926319112","154794040411566957174967518624045895533","212830489131957104295515400073601127716","213782550853055720541870903934726682861","125636514412153818530263140213615333103","83704662638179289267185749030617613944","17319100903820938638365022374128823827","206928527010998365831455180204162360684","79903579490006461468960815569864827433","198803173050993078881153269221146016802","99009910571628494338426265561635971543","282532859342150243994039051516746972365","195843535615636696292150366218581226004","160390047098230512689856402746286624452","87272648238017090534602866599602041160","86554723545196336389483037603937898268","147257088860165344476655775209333541275","267470886313015046324709041940158302615","215531114326118957532243535591829056842","122463889666554064183644438257483498844","60652467577487226802943433368784333084","78414926499513158326682582569503756318","3404455274499199186831552795263708551","312874119700105819616603902666324132675","77547009570761032918510883843761889863","1169281413633976842474095805683286200","230119425410747667313337593012024540311","97111162460764023454960679962443931120","108826212651845643989117725212308244572","231999822340590395057153428177035659575","123625537918154287471924728305107149123","192993407323700929296609195678884879492","9450329826353359996755920552046457200","18378377618382762458597523234396624358","87595986772735552045638656926238236356","96355833830561731329809947058950930523","159370584777429562989737800850315735958","319716820798991100167272055776513717842","281690587453344311453549024938489593816","124466910535566845799497653058283933960","134115591622313701335836671028855075392","165765762858701333913556216957521211834","42257351243916047277641243998106818843","46828536667041044370348105246259350909","179969602283899239661868050686563894609","139208476889519131072157152329031713526","217045833315481242489066356471034506256","109921595810120607511907220283250155300","167774834253107214775265482230817631422","74313636726096490801118357349551341800","202841525334320764644435033341190515433","238521630423822329035634983798333612261","131761307091323331600455090226800258458","96773775443844719050609238609917294602","289274279634226087967961458197390572324","243373041512839227942849237846447882300","331928255567708767262679493384747312710","84181226585500689343536086817232831497","77798711565430703910556013978066973704","155258607793745627801512638441213788712","245495134558126759821321254998731738691","329619978937044972741751931815842845088","172900820069345212545092180998387201804","59401910603927913165139536107967963338","281316518408666293567248663524560332126","331686436599284358020945465564313634848","240467345758105795201103043297846808061","4874787826166195218399922742934348832","220949559002580411247288591906484106480","117345554800197852403950808090289008771","306582450968714229420790549681878978716","22435628628717496915383042492875484139","87018218593884818780573004304754645082","192610596624518047189914816043619779428","123872280440023474281553934979085543405","241686149877988972303221630238770384075","80048983096392808694687509231962856871","209863081765366834091248032131272015682","28567921412380990506129614270354089765","186528453398564312446265550987250082057","123351849277322697786438919861199266683","230718481922229201624750850682710721046","4227410859459188252047080792077071953","228517636921831106791436589483303967648","257612569862510381498301725187848311280","242535523304945665869558410683511131178","279708752266005974227269541876969069192","33114326084270943585179431381971218209","277500629926142613668995531586052576072","39083300662150269490630970322725080895","246048719290806120649321489554119142154","2173254377491935386048740584879890763","197536896968038329234888415919543467765","106146572562744463707683031844273144588","230270308266685392965201105460658703923","176784142743393251472632103859004888747","227606464314054434122942618419599524268","337937211589617231278676951521519492008","235241569680725683059907657961153234477","154879066904894672267810223276167989869","25632998620903870373150054531594971687","250691670144929147076876182682023850840","319614660960807056268343586537163037979","284618924463721017115005901542838377473","251792077833999951689976297926869063093","338016294995710557096145670765411174377","295783879258684962915686431074488202035","227524725772530226606826113195909498369","247804828703062709333087173314224758667","333092882564118685884132415767720485183","107605507347892300826592709032945285881","277876285644875168388295321778488510043","240962281045010237558653092648483101458","269531976532028923165290019601644971863","333353387602794652399660417140384685546","270566059111001655625441663687364069379","51717988146160975483492197536701464316","100339615677530472403501675941266204778","36982312754775923667171716550640487054","172908194199824922509079995320451087648","176371590061161393892200796283242098980","249281132160944249761372449735535285519","85314559799905640084136801279482346257","217320465629234235380740559237915968467","240985685894599232947198739348976107384","336739471415584464489722350591080866413","23638218306259059480044826020371779639","302837792776564688930080702350613103170","310088221485826639053290059216318030646","78653052747886202103173930348998164391","23373970145775240698980060228944120487","39117950320991181186186214262893921774","177440317979887298385491500429025154446","321954757494856281464345663247524402666","181578513996138486444053257487486179692","337922358143792126056427510244550554172","109025240136655560585342486922909884786","219389478563493904704583278541249490514","223383863779263425011046283470982078467","88004772623933539529229644715321218594","159221615129568923313463963107250536760","293252536115885732559076911354991500119","270327581953148222187807067391190415555","25169215890794042352051563658266231773","171149741786353809396962352584262607932","268165484846277787627616644130875124551","39819160227758770742518623818728739864","320521514153454159938077487481306908949","132887103485816659575018811532733128646","107704049005067108645351213919459142793","56309801265319435030444288657143027804","25652712127284470750619764060020850673","166697467124218806741493546589714650396","320553248207010379419075333453577537399","179302963753063056872452682238182229436","274522955502936650752077139133384022144","79077322149980068646200123323851164912","266931501880155040572830700120344730866","338212357883042477298938677650337658757","292867987517153066496871694486914339327","210768783861048515436349338528527860320","54610882358616458751288711162908205109","112858101182473713986815646704443415704","313249806891987418783867041742729073246","197094209923031305939851287696438971684","211148547403384866960319509469222377154","91445245899693536684273993306523267846","159247236699649471763626785296983613470","64543078628013883400036602318294784129","236944373276399856352631134215543447027","153508466079514600111013631177239707122","285586666080825093607304415695758877310","199529158712581821993553625656030962571","186082177382514508143339443681046011571","77565886462922705140769478241156349192","286214592954354646352604905429715444276","300046995888290593840171965037419863224","150529756005347485529057023023123054797","296892983447869127937905811558802184429","45174315973983904665821027680209383701","233376466623923986617340955809457132470","79277705558675060641679363539845259432","331202085533857646916108258811481081311","326739899014871703549945961676377950889","297297068534093423601908688962371562072","28440121415380708323342277745919717650","275365837043728372172341321543988731487","171773680269564334787355956434304447881","95184485099404611793635900592127646980","177659002849970132709225315863934193373","522244489301145926305215175200315824","276631705144735882924938601918005337958","42088326333875569159349165518838930529","262102335130597406502009244540278602988","126161090253057091953738744944034876128","27763325495332781258721557827928817299","326486913577176354290167950889256998748","30398876220212343919662149392721369590","313056807032264417491191429636410328763","114184544017554056027647046826883264504","271836045802798875549686834776944962405","265000924102303326833641421575042691341","104564901273580039882186559165872573588","25033403588403308435868981804658454838","329666947089547257557016125957441309284","270870865646724722327496885229806535342","268341169128329036644948028882837257012","219257469271749947216870984187909172404","116885297511283042040043825863889746388","77807972190020872146882008245891193826","263196056850183230238524101869960000727","89842953401265072748819566823585207919","223538537395223408657704002258244414175","336960827925426187939112618964193432185","16062802287048907673840884463065713423","142037163285576990833304013000705812254","281701934504488594829061758869224786396","220549036809243793439491419404956371629","43817122965740257688134124299324753630","316734772377992435377164165438448707065","41466601190707438528457498469591599801","77161938324545055364515435467733814201","223985312891634327629940489515255654112","318597163672847956991972215768962000319","120773476746585856879508576823731225699","121079676985142104309540550149026989388","319602157907114493948526727054377207773","287381637323125758715031723987253562623","28557497310910747621046391599014096040","89397160184598467531459894990313419608","17654407095063140433745758862716070567","172954570167647186424006833815462447608","225995158817109662562595464115802527351","144443210738356930103067380762296826317","292842564613604343099754916114326198787","174670020568890844125949298975194975565","12681832729695362791081774318296163407","290101383649122930832165937066486695052","194768650511305074185958027299299323280","1014476605160783474718561089932184899","51542087105912514302927629327769760491","249734207620899848562858461093784967656","146110260039977453611893941881502546566","233074304205020940496559969425738191343","49264447390240534946607347518839256869","141973698551958790140988623613184527444","161518792717369185553320756770790333899","9466811748206082749825639126525253013","264490151914227760074657425642684374963","242208779319354666209963758799875846836","337713576213484951030232855832775766892","203510849341435577227564683125059008752","94253034340994603147692280758150920908","246755549176251251675752112896942602391","6906111672236551015003466693107783956","172308553865374676909217717783963305190","260094599975092884549489707912893500286","142491970396673309475663384981356879163","328691228222183638533712424353376369802","289731035777039460994470716491745024636","41124435638494188853470774022353376498","307019874006436040921994379881650509311","10057981591668274402190921598964060329","76181895636303897770075643683396283077","68026030443266028077385456194537288583","92177498591977035204273389665040960318","44601974675816935292248669571634057427","198202634203252577724667493697835417904","44675961007895891536848241381270908252","248746255094543988250029391933381457155","307061160850862638752306709650738135343","123483036664264584040905209036293143915","142898823943290246413937265538698606532","296027277532570095423730670016592800956","114183434261608250654494012386263200245","132556175089352000645657180795244541698","70144479588710952405359604785840198311","203266876100698800275476983283472359741","273939403545239702510988717397466460449","123130754128209428942827374993588711734","172187455134690173732178694196701405300","102926341358662189044612600867232521568","17539587977563131635906143780533186036","251434547564824555222440174434362550807","167933824594221745772959810959332131396","109945960031357091332245510922771727667","139354946663247636131863071433071110839","81409608219613726774087746013132628989","250094355615503200398834039975389583692","87511934522843960749678295283091302781","256941982522990472645040947072854994900","165507531407726544050477981680889302484","263824073929218327730969429631348145004","46527349493059093440837078597893983936","98140182365591806516685664304063023341","114939765263617723620942386592293605394","59743704230754565643991713046271162827","195228152351655186071177843652089739876","209812572166707983203827848067725354036","233106904040188554208244881025256862314","231269231790132332025895102114002194258","127846516160680560409740434408828587465","198087066342027881912165672870886545894","260370601802800504853265690629624410392","333480642100704694474124135965101469979","147573569614231240004293637580021834559","297425492553180272712840657875221256241","320389925865255284451351377164491479084","2001976966593057336575093867682005127","322941150046981124930506000180675362081","24135991337892382905741849156241646360","29679891794772716205591182432485215597","316000612946247899104353825623896075728","66256522936447219827081825472085568937","5087908320283019513550905684774972509","284474459904834538254085222936954443482","173809022885612488693938217256032742404","263581266491693273472315099903621669963","245189735114851157795516203543654952989","189354660571933705920117497255389273249","303617468662110966303632899828982906888","227736210481411162870291696815959938164","260792195755981973064099130529245536853","213941193964727043592549325061320003039","36300158620555830883966307581421967329","68558826312420830943592175649253757569","290977687085556152711863832914644582370","215869204648991639582772378180870007839","313551307592560932793029538267222658966","90144723513705862715152901151486937105","327542839604552020784693277426451109530","327505117844961816482269512763713006590","332964191708524314732714137498024642982","165499422517855223381627762021703840154","332026524771227134984138007428650254273","250768876062515590433425669444656001146","128725991718389349103330153159827246311","66724097132141709888974171836775056454","33560469424441764074005044787903095450","169944264225245113245226496916298259391","244439202025446252900318102952214281671","212573530830828487399654897302904555098","228993431361366945244495988555872102214","8369777648284863642553523449621157904","141477024510850788227691633916546363924","114910651089371915436220972117269893186","311147431386841736258424025244218323960","337174664542276503451187781446482061219","93751176191492267302196483693732176410","153023971027359922637644538685663974696","221154753366410765505673466500701794835","321523174121030785563421206891898295496","15049931513422484013767044457946715568","261819876431935078949505895920021321591","134406271542661201369725991480178496550","33553178896813567446458832039531963884","256851796903060357732707275530502287322","271684769096161939460809057104152919018","133542072626204305492965918953944127664","301887945794061743202496262512229504769","141654001231894533530714807945853499360","112697501507772229619567350290665535429","249721788594530238412462893490097994275","47020248935807431744163475088215762043","107998567929195368980072041396735963926","235383009905485616731587461358625314652","264074657951124463239033303949208065385","205356645990494828360079819462685257010","86805100097962680383395039911748858064","316099218141187413983507091008479673652","12969949070540582971589346878924443933","266179853747519825229076823817864829903","145090650128124681145638713488889891831","120792588914302848489982864102890855015","315841236443013735737999030952001110520","184264814079966818229027294038107114885","14617256231484124946507465490043116733","207318266717720966976362097726515933843","199553715751820232777639377554300785094","107613491978955411903361490823774418857","103495600347578689971152433072288152753","94796030548834510675819884918634992891","250323698939170407314338656933041398130","316959283666778029282868722949265316699","81592681166165575625009045737413497405","329049289267431388938369021669649817476","330396543255574621590662154052246517800","266557810427979669472512914528364688998","108116150816066628305690204061954987469","109243768209762768800792594946391237500","102358294152978828864565891238052910893","168771403365044646731247865889837671696","35947103445776379745748609524233695584","318154971851381710294064565566349559161","75161424379562666426713302965098983298","229328614685079400662706269039770265700","314853304795747443478551822533200889601","108336154777309693014757590940613276834","116765084581615606198047119737481337864","46600750453167739820463011467104781534","67548910827679258850844036166599227470","330440755087954657784625992339997431391","290980362260150717352516659081523786608","135045594590634894918091042197099067254","241746393294973676424885238868957388907","304531386846314403748237572191718616001","240105901768159230312081574576887314961","113454715098965365404210621526617277498","319167609813103805673086172358506296301","110258733296101807292682336327774723236","25081151118859317334905487736148842221","207058288055649249734713614442724683175","242744040813856462846745912599076460156","312804189166773061467201004671062183872","241429250417648939581064491423661942214","297983457904668334874646284218986687211","59172157820684413285447343606372607669","61066513358771032613567097888794521909","166177743109502442867591317413696276006","288634935166697792036164553673122175977","33307107482658010469411511604764609811","210216286276935819987487748533833491019","94175543315902417851808387487752424905","83591478350127676834056099960621725708","270795694729802024496008431417831556337","97742134757488848625866541525783085226","331148196835248751489328048575303130806","27255073595241053921532601988752011003","1086704666651923828216323243212256930","179945181415065028146108013732839391593","306354544498686474856988115041196498371","235332656182125654921847246845003788458","37661438676426368583939622758528587451","207263032012295763417496565988880078443","218596400657217226029667196684003249655","291567043070232019790086450387304999998","92523054409412834984351433885802635772","76925385019598612904332119532228764793","205874755307482735598135544977421349277","7093362955391329670522107234727528479","228199037755497125996182325583488478131","31730266113533757967815456085202677092","61460944218502868760320321908500971697","33603710649602129198078500517388043083","79893066549682310233481446975446627270","110990214300550741436213998865065770863","210738486316262872780335635495182624595","150703846634729505803020121726917333158","129127075189582839190714426262788671182","41403815696496628002978993924290322404","190457785061778412354416690084736467113","68929378112610518288973140454477035958","253101083477061390970061485297743971381","1190994091528749464264417306320243371","335910353013043036167728137420801478195","317674982846689145007586526444688560269","126329983693397579278312950361335633841","247928159442205130918001026115297826401","117440111338306019880620596592288822163","178922972659894487418064228723105392433","243531329584244930164519079298797241936","194793089016111978078182719042868974559","275874085208262818150551449289942173001","209858853731898512495029985863912507203","313436870246054171432710959649715385876","220190591208571699980661530474599383152","262840312370124152961751510781175565613","165931689986187688024461836993915526943","329672708307790647630469032184442461248","277865612878959062522172360364445482323","318876881600388012025376944201966667555","136438510086189077477386701864650260340","213902566419214286890733974986317889226","311603741786404142728267288009472561395","68844337206982308142857208983019588501","95006156223500989606442539745060146728","68761800588583837564421409067575347747","143375196638909410981709396640521671859","322604538085568814639887108477231960537","141887671117261445372017935016489259129","290645059788650179362736458940987748995","109818551786892360298347287012146800762","135343511061971359015932715311892034770","86602716834602036029137489323191880546","176443886420608089083541119804879497995","176445466023393531867947123486893628500","322033369588014768461988116265702389958","75646543361021676407244457148060061147","283155296168001321648404001332892852329","195863508337301659553600203058818348699","123176696787342662186838884841382624339","257071667115726151671082852926528677584","54229571429632398954673068225066932344","325453200752255101088154925654812703291","151427219791838127643757782657822462211","336636968484192205074636226867139627710","145844343009509737903111486159872703520","102623937831168316860974685051165743390","336840318547329381530482390727859643280","6829622365330876482699532806124314913","212131250820616826702350904770981873858","180711061976262870368340424962404568204","8678020222576040218148901632139704671","48513433539113759261980838779244884797","202580931127301933811559246456136095172","250050260796035208377654006213208042550","242862332194625217189158106914180291727","259147385821730139298839592551460804870","198797185393703689021156326069350087755","152066130432594351871075080363623151254","218791554364148841834575889254655428000","17702115244352618257360645398462951658","111799715960279365050988725698944002095","308096248787295431563178858766957027202","219621422071544638544987220807742049275","245963443158872930248296747999430329301","5171769782530862036869715701927610134","303136831192574765987990563032857617469","251003589731421061245141714539995310068","305675367540212641916936779101713794407","293765507372851997177946292183165963528","204296673231891384192886494105361534719","82231697962714157606347994788426642503","92531496198951460691518857118014310369","262254782394479483830946491441570798562","34404968580369986995564778911744805450","26054618594770501842990675491027938693","283734063844062147351215863846733632265","221012017900350297732275964173499066189","88662521339354598001160585796822206212","140090505728482340336872716862226387644","328003639105371544601731907748425461789","174863358079571883507396780635041711147","256527274208887426380039045869321960560","149535097635333072157553232573227310657","62907501772473913460807675491416879481","100810851713886376264002973098666879911","168954248234602493592992305200865141160","102158166224080930764381252082752954681","170374799558189230257567297844829164679","16150863009411063429379579573653379766","80880905317342363462806281228926617244","149530404345527753145223972820585448125","109407951904267193608510410145214554597","93456894020458976210782142994633561639","74125662036241230866716556965348635224","93004183596999420837671618409070201049","142508989588457378803785480656505835552","29323349809885029665857045080900456760","73546563470523818078281054683753585936","251599893999461911833806412008725819254","100433020732488325338739950292923242024","232092170336952445945977241421383443093","250944517503572892205990314895747401900","7260982479961284924115603721662108715","172483679474089611152738447134662804152","281589445973715969799774007014383113658","558039949194962065688753901754589200","51232356425146071224188788287965337756","261438384235026125559446624614470298763","271990341344062745994013545005694078339","164824129768083585413740025257806035733","315861054055733425026507494060862555963","307769598740794654997886134256029305013","241712393729798698263512383901993061716","126718590539236821224571360871802837123","217009902106056081022805841875398581667","265524585972225715329106348720043796804","189045817619044473774134079377603848024","141891429896463147209443016495981512617","17687176320948832439677275184062559364","239559569626165957844207973289017061393","256928881695275041776812607756512629755","57999026042206583668741251166535761923","12397737611388496829048239764912239980","50521247881328148472634897275834700433","32995732748288184696664241332930097440","92413844845043997567315263673230973375","168082660555030217493007012449302212764","37640486079855150604253817400483484145","239818872503969419439665351797620758411","247028053142113219386680470311824444718","135159313429337472370592599397429471166","99357718614481339178369638687422550887","170130282206852302888897690816094734415","89413531935336091221237559505532511115","84481890789675591009254796035388776230","147666894612839931415790959295560449892","130811249931995225123444850365348415855","90829290501029002226280639594734550840","241322623467980046616572851914632215326","319144186976526452341531716853386254557","173266879155415150698806914498969290541","109218888330038524499374300478846537865","192872192589636053050228922226929757204","140922752994686413407669967856880318029","230153350389899768554887109167446512561","197684280080672536422078377275101192902","232644146282264136803210525162912726752","95894478027739402590717913278898114923","100102043089443463056990691155856148979","615017596227798369794552776994978249","253245828420882091913501494209266593879","203890579158582279618179817662613826315","178997976469022758778385622425706545249","30001777825981486177692183941941450810","298553128984315843636213301991189973677","124715489189993018069549252137988122436","223719297032753408682787338663658089023","72383283834739702890879384540139684046","269072003633074419793516417740496218063","308622995971122418267375890675545802800","181947141398503782527862533760531618536","139633793106324210396815808456933055616","4805163189274923691833979895655017870","27731436165154305777157429580449663164","174912314423248075070652252534271892568","93709246623791824014473513862292900813","148752449783490896258713028509508189488","44231082467555413423975637061535821365","252243127336361361332637113689816543829","42297104958490808221586886999055056496","323307332639888739650883080559816105010","273228950599815251706926766615640152882","141701603459077833966345630334107807514","75858303741717580462097570510095286769","309513618693764338340759800714506917414","54722039405636710606023927501610356378","177294295478541810951249393562625366879","85999799229755960550381062487459733698","241913899767389891121852305930390841471","290254522865582816417795008839666608199","76493287010488997618103197073128289840","138381098224534479358814171355612379529","96918149274981492811646000143195533196","153895924567626594383933950418156378841","181964230371115055112496953346095913963","22812565416547745808463655984486975118","178825234966825757533189204838592298452","29149902450646805834768372274525871174","317704949652036703971374776502170967397","102578992701812130832576371888713283386","138244802670477177892612234808861087375","192613490307913176226689595728704153490","17224350244408290394941701288310757707","215830545753356620128290712699383930428","56769680819182151298912667059766377074","173958131415796521858633228586281729927","147557620149882322077980885913354797077","41611006020307648646379058122662624780","27136198095000525391085195202128093952","36407251292391468421739217548092551724","260096074498627520716087440608187159938","84019417623643914165134294616086708953","295347543598035190972068654172936709145","273886077542655775235586564642243848991","164746220142958533260580287405914622188","303909795963887221203086641528055589131","175407753208054022759364292351110177428","327955862292199037022649979371978773246","84928104449658163491055563546928282785","93093787195598442547958260865621505127","196411838584803322645179682063238692454","297106434903266464406309154396988204654","256450544009913151614665788831564137341","8270850554519718198889581594535576928","182098784542204250093660186110342514839","209185971742532419907089195387005819135","224854636017377326912540078726372175981","41734175012846625576353264787039197359","235560321189369057642640023813682465514","152428772854383749363285524178452878151","87829747667021033098409347197633773767","48042857263702962852574937366757230737","219081983010878811749070686732857994660","169076835009214425689050350863905429608","157836152237038001078703295775175197193","165970444396535896576625122082266205367","217148923796822420635966292465644203589","257149967249688735908056969786102904036","246900594987536528944017172095974532744","12830359084058166694184970302014506488","193457239092870216446758117777087490191","94578424826053920702322488400632557434","232160748763128234736110934660254777654","164232487863556411694241782484298765212","41552035045744147927918699727509952515","76691024407723469214968442158078285629","202422699836602186429844744607940758848","102044787730642261607043575724940049167","78855842061748536387687102780594064769","312116088247133610258449714723624361613","289109873883662817540094789387090748000","326219177237851524501249020386377810824","142627710750938295025696620571395747625","115029666561310673851996653011559655031","208782829612139814443370395480800261888","153898685423869292094739131046338992712","186510905162491338924358447556529408013","215647251031659345185726470558189381989","200125456903578709243707003096432088688","72108997910327363785927887795348055234","336003699835764406482471856326528851312","30404637786190132816291803667499447143","203428506034744034188521862943785184020","253468497023906355382788620123906603266","194324012277885612551658782248185927559","18900419110075614115288166702143245534","25248397744403705308376110442931096229","39369176389614227317098652112669457397","277746125748429664971047499459965028704","289964119837438179645791660726619295698","293930483357634503714949121114395427744","234087976981510443094130712961521246817","59641757747165799796360693303170815707","254971003235511193853677767499349077193","119030197766260049100443156463331310809","82922391791086955969036734485634117339","32225693854077962154274053359071980012","257526206047726886581439277358999131852","186780565508349571217999075924750020645","38674829102615790198309457626521024820","93387482331706825925846910136712213272","233455239481393688822524250086176843545","37381297877880773692984133039554759417","336487599493792052043871347090798742991","110835042259472326347537779490885807147","328515686753863365658773280624960561304","90231002446191886107954322216995551707","57287748462120680266936881674369231908","317241711876878937161959730394022628927","321608059672877862698964582158244770138","239349128677511309254170076219274536498","180974805781185093597317840557091045302","130911667331510676486590517169206542498","22184177031500823004173274985721158675","88649962031313153179340301110531851354","220803508607948655423567390575816508585","323352782735462507406045068397160756719","167406671201710283078963989178516698299","42978458557293782154227834858764329406","99382766856419611176206778249751414013","286607653577874776234662556482022263392","52492218865610144623755701654636063763","41287848254311719431988923665113908783","285908586637528817489341108164325813307","277740063943695752891234422053599709406","165075705234898798327489711774725562282","199074325955704014379502080905617236581","20022097728217927645578587812782362956","311310233110458309516810971184036741361","242674727313827063955157980468928735243","12247389870226784935501179919001702805","155478138096412629064619018012994850363","291162358333888735106533166044573467876","320627235822588039347752805414758100838","244211377064043760143607857261881559131","206410953160283885644918953920550407551","200902947399030751662016715507824496800","105624061766222007370300328071179017239","144552912839952803026846811714197161362","259003128278492632022387505725951156836","78714996839885290215140077207228431589","267907924891940022873270234817325769833","31621242315374444316947414692912323969","55205678291865029242946857154233086081","254757110402715194724231270538202246140","191210355340688895926415321350540403518","99971822840889102884784666290805853840","329624032390203442663146787212974227227","211750041330007903590598677306895753166","53973965571446953538827181941592495710","20004444160561061751574343851575224653","210654817818158599850798777438152770587","279220730775726081967661429792480164727","26413900490847386309310751440960815196","47461864616886598746985595989137129828","331397365490697569284656796948431187981","251454043432166619123248798534788069497","45158585904895525556017501670517024611","216053232833475528898428986862312358046","148015881299975241466004344499331598471","49597156409479752526870089484899876920","16563056151676768848807769592968623068","225980542004751497969846755134176554478","35370832074843401254429115139550027929","168668628100171837122643212290816476485","193703752384565176451898149433732398116","1272548775133256074598549175712966027","5181232658709971312048305250374477650","307847659110707506031610397216417494398","336775293822724090706312985214457656492","166036707307696232410826009959047179820","155480880740354571988967872917998035881","154496116989205928511082072073169594167","213945930029617201203183338566180931444","288145980184159185827250929284428968382","222071489207920138907206374910474924984","115784672895415003503944355361398922803","331299993674548337728746603790657799542","143980089174483332456684772584566381210","132274900048710428891078429404110268387","310047370231316732694436002616656476323","74251809958312847557775246800340443263","297815682494443997249161572474006961589","217447450849460986211814884762710137952","87907608020618082887375300245037619416","118772390561104032475610515543693339000","32243752819405809139499460003651402395","126740452649244760875522188302454181577","103139903366511888951071895094151677639","50929712089250904752484546590935807860","201349832803582875596422765559901465307","266258841744288970606254620761738947871","299254476157309999914854193900931936648","9677283798332135779645675327472936031","38813348292052664963495256974375033242","18363614683285547862894286327395074188","189709943598475569168535063226752452122","109247493960517499530647154574601020420","57738459409512724912070649030998359510","203507026687851277535198835307052932104","155889349878457905988018935215413917120","18512018124316050321037036070635266711","138119006878445775036498020972292061558","20800429765466464007125464887995757592","23973609596530822490756694235645030852","109223756210145729767902442740972499981","150609139242267733061764053275163887511","79017169212487233521643027588586545451","203469389806474819593519523921288020397","144068770799180653137796527494210800675","205835392152906859263507596781501601976","61844543366106668088049362906378178121","135268451325428726258945363962160074707","327102270167579852621230493205883363472","71277843934107043388288586285801330022","283775941519603678559370133520048772049","122845646234293639231645496484309650600","181360162238841300871931001421451971666","133595081281669149578114066276933590060","319533703027390509520875701623703801721","250411182707761992854061683858695008563","31828903596656128104660339833894297632","309660275104321286683426718204876724274","266159450815800792791927322136310206405","339188540167320810426812284060554530565","296530520493393405111739359852798160912","332335231835708877086240596711742100545","266316958014277280049669274720878160897","38061754690413344779205252804958426972","66153533187518906283492610082063362037","113009977121430764226385792143378661774","100489789330323829490541190099843153996","169099978846494092064315976017167513447","46296742188681401962259894564363219490","214472660626672291580583673007269070557","270574292710232461912776288330125611357","816256186611392149470452840237201244","131045261787756067465412235175244879738","280727289291892466331810525549503422574","567892925885464042420096719294177921","51407672609788180613154852033218258728","86367886359954790886313246521540755773","145136705852913277789213837090080285558","39862257325861235219902641082742306640","291701809807538860514428242070502984022","174329686717060585904838781516429612021","165288560461708355306927257975020662222","171578121497022480628435815124721230334","248819036037870791905795567317999979186","244771198204793021564447525256700747145","201156479574122815097422150664882423127","287988345275033224590731206490795942779","257018118394162375164578785685732401305","266292491018860932389568103884411210244","108700632574312226391108549677259578675","72046920928654950848425262198956360133","216833538611313082665733742242066682535","25866476522695906648414234497820604617","224425305171090385464709418748981222431","170401998637700438021078416040131693590","119149459861696066354773381901642425616","142823958657197943268621919811428651394","286118741980672773036820501566426870669","269364781974851941530159543110450993130","143942336851481518357186309937417714137","244553255465081112185615830034314922566","198661485103212073284143913235559247528","318427164368092528554281680023533850410","320962273195646255862111468174311035443","48131845306921800191332312865017736062","144132303623715527598118886155283651186","268436226793201655881488266043775997529","237812104100839396585669392108805598921","218866035437413952664324426154453739380","294746697034592186304048388535053077731","330415383365344129722342438547445001400","266197988708066006814254403114748031959","240431319454728330151149252484366854278","19189911186612670884326366807302497071","35362878509864821131046200002240332988","236108809102667256794509683432197735606","153585913373812418119818859949948236554","54515337387196278874864562269474037718","231798131916187802602621892918731278399","243187966138879277472611263672846603989","237805084874500258154327760593205304523","83636619008550519142051659129987116172","157814889516116687323642973747932835329","229379168813826610808536023123193038470","261291344933875221497187988463260719453","299204602779158076737561064063393156586","263774385930814224376365229494121222481","289969075775466941098899356403352881725","248177090283471698895740755794736519927","68221438135015896463868335539454316618","339096794576573048110619430865493503698","80976672778497003394131569167807954675","258706436684749263659534645932955947774","35848336064333949695938427272733066672","100913453314866212137979028009055607739","179655265399514679547262650554428917392","94472328495988842336096981964150454732","278768827519708704885117488961886702463","148327464752092027426136932500277761967","46994972803273965671009721919151972434","142912326960600339679557897728282260014","107961767186477646369807648377616392157","262628177319618260588489016970814726500","166334702725563270228200186321889955600","68545041942258652163773623708831574568","132858875550967087039459208798529593038","139135246052895565343085299695242800084","250579678641569292779403505076267258759","81968985011037858019172956455131111877","205957484584113439065910334926523767650","253076598416423916626250800174669547841","98569025983849442178094853950898170880","229743625869726878196986137369475953551","96923576163176270984557452713927319112","113683496516872755511476952843684154247","210518641315227035238978587533808851310","9940352973272236481672394611865192040","126344474224578102083141345017997102655","221755708142124716674298118722168776636","158553266003369733895152350528500005020","96397772548666121758449077076937027533","241069743554958903476941149690222338438","204843654750618226525893842800799797684","133103991311540611471049254533751301212","212148700208126682185313914113028386099","219718285822222781987890219488068430051","263044720645314930679616524581306779908","265300114168693041729748406901534830456","96395758098826768729265452309516674118","294682249818826454040403981542428634557","206912068515393603812585952049305225986","186475229251839661832349708273255573469","224842921135455312668016983918493402730","163198805657429842744496662773711193026","274660737842633129045783596711011742434","205888111727602381871356468356958246180","164228636595024428724718365024932342117","240776578373790912981676643076431865923","173133791509143659688582637919958603867","19107523551735262714122981876425287077","135012202248869403215129330464417544467","294406995472022723074415841295182432630","241448994578052430249812849955182203800","210008674904853856395558608967734449561","289456350646772306973163948455611955423","28689613507632685375264898638682943414","153811945968613766877268941997215990999","16652250606183538497751199504473103878","68451508768456990203859823986580190904","286313968008668534597116588696458939899","259425183060490449702337552117234777058","184520395390630206346908134512808439675","66290285015595000015034827386982717961","98086547717063526674776639883038656569","196276038558171105125208089422736819334","75774880950931176704002242472064146357","72021911010304210300079024501365377559","34575929141650730254341082873814587562","11346468041290191218646565374249895481","22313718341187163505287060793724284400","46482004729415054222323061239689330772","9502618600709171071547946785054445466","305256506355833201703912225585846087687","331023751776506647048378069800561315588","85948727879949948740650778499939783514","144910817664141753427343655989364080636","339610728235588565091733446620797010623","34035807619454160556965997016039900342","241115516423184778532825577178722579626","161444020676478776533319235975765257723","198110415622111639154071867437606387089","305862358459733751896534769525733539290","318576592844084647340134794119056177749","84221579516667164668000079907230207904","129887209456469996512564434357729760389","27877235047066600232773277404498797933","235697503490914895383586520690601934106","268620608974656985054175303625224914282","212307747825737590837949191768665754255","291215294797769838952997444097955846169","331119926626999027789084656360095641567","32064595018734032080872997751925340061","298759925956147172862122924763700898082","51168101554466486241426794721003020401","192532361477953878360668082308945218007","161267637527213585968545755878772781918","174710615060253825503232367845511750347","305551480387227095452757790654074572589","286220475102857851619957621707256637711","332196499388805907766705585739800127451","81524933866428556947189442184468103421","22880411419277197614168398844623252428","124652647690370835085326611856458064040","333269621526377478340314892287322286555","159013289367682360662863644530820640015","285403338762907565635842852953838659316","289700028118771112582001531562031583196","42609112787264927080227995375703213925","273044027370693478173570970298158527669","145557999357433766847420517520248876327","220867128102975859074954355542857149463","84765802956318741255893711888828143125","139481155665346716175246888951135174681","131230096667913343873713535273724398905","264338607746356066977207462167907453940","79537671803313632482748973052841828689","82550053639381866138742587866798974167","251215495367260733565399485527430660362","47175941796621110928429291772433585388","34340276959242272548076425314013544","157296698631032830088831131683608210837","222884413893685674411641620945274143096","186578996534745760501399762442422894581","295372035008086989658356346736086724136","11628211775014639123932517846715249077","217518834039137576469160003140889577741","234690383098090844137025506892548630125","69435798109914295554291216181974030890","236515397627723843850755300498871262842","164720048173894637593824209028244121633","283902360149903109861276665700022913798","271338910675070149476389188903689297803","3263462751049783823827106596197369890","192871341095001282183862294749224862046","40352070842113322972460313795969260445","48476221328948101965893742383299928861","115020907768500968252290934564041335396","25836056252711324188711594593832058813","120935455331773493218071062303473208997","155715093993758683568431438941021901711","32327026554958624738802793758713218724","255705962334445428083507811501065222316","231112161450489988253181093024096057223","20211486327389985359006437056050223388","156067704266648777660592867889973951587","223017200940450991275495528331221489735","39905433098091527753581177094195092231","31480716695064333926845718325938627928","189505327784138026692627332160891483327","27789988538356448150425144552499853589","236648151733734128671045554484705341172","39412806571034681430554430523523241601","159307403924901033744266106686718602670","204587748744407295960424836987885856573","12972846925072747276100820383684831683","20920986171130735712290262027659642805","339640046774180963224421574827199831681","240346561127536825208239363001504394971","16951605207536387475055429684737671224","218723555739441021733023285705987394639","38370987157755425479194815139084895721","121773611170041799558669737323603204781","291368411217881855821026853553821555429","252622420100151599047119900884531477802","184157714352499094606195886288645062697","154936574095984992096022567347463390033","161381282811382228853049031985661570739","305646942116718249091701816295109475797","35039195036826019092421262995105259781","82744971157313111547538760602479359882","269886984591474916788460575103687119300","304796978515522363975635820820447133009","194515681292859344161654425818719566665","281637755067396585328705062178448868274","131556285095361219941596634337146207061","296149870841081234748185717725187964031","241349401998913110798061507844980669482","323179206543107601330971375825717199696","297784827790219847795222389130891365409","134999443718213442859779855119315766028","280424722187795863650223145685258164146","299498571041197153674674772367668197030","30785603782286658931068453251100459873","105451024585425401250752681989359803702","268841256443455249153421952555108472688","315497903158286068807902544071690310192","302133265398549311217433230890084639481","203230103517858576212301404517776000739","226224931071426239621071334167957102253","8351687283003683702682959590497402507","157598859108059682489143207740298136759","70271586709420626267867245316021354724","88383227500581841545252725755448327341","148240459953573068173660768211567441452","245519457749980189490342679629530032872","275369843855010960565336149914365941899","265711717541201939561327161668920796387","129967822949266176243442818867167603967","243764835178924557213274716023538293183","33528541551956262013597545916977600255","192524079904886919211193234053869253375","279408968111046695783934740885050777332","97983895672146456175399350659538490575","90984207186951992635392678357303034638","125344032450051768010896183815005978433","288989392433969593999479550605917055551","310493178052678813851228393555794971828","279305613923434799156921699901407131536","92395056238765835568381833761445940310","57705304261425730467413443813912698094","149953104145119096325138822333869506126","267295502137368366127368688220457234045","137535644756069577344298358352306105305","47306540823512367581199238197850936177","16003621437377687848361327462988049727","53422244263238674480641326371583789922","114020683915528606839981388396753082330","301490373594829031654202424723725593521","222739394013273355572856868514982275675","73480117547266118167724846602737249332","99219081031841882569335319428920693279","304917117823477198449260776724217065710","48750452347173430450183755943986856465","226222709295101836039412959566507316642","77023387742679955144934992857826465619","273939062364475882431591936536240602416","69969675029967413059596194363648067831","313527682601092406737815676893147876070","258901939750976834711864008636239521418","222894311030738904995671354325297747796","339458749903647939216960124820821555091","62338861403785272185885796021316142942","27435563128293395938571236155194935164","167777852863360186565150276722588894521","298861189999518846853617053479152211840","160506744985245940263210275033182027289","28979711922985697345300440635426239285","99295345449531255827064976647326534759","191313295193898640124745100673331264674","278442991078295710663679831628775030221","221891150880363013894966888901998881285","54263720068674719441038253377340552744","6550453048776442713380206541980466890","246718272788262292461451298385065472017","113956197222478797331693290822090120676","295329266314260704565462778545553509977","26070520754754508609794534192439109030","67452370468602308201365677543751121064","206284373221217000617229757116120065415","84657960836688849084019273930427639586","16636923199577270554898265828290345811","219300446193667692360534657458161107545","334788328270994141797884767902088812352","52818154938588634207903365296548609311","168536688081570928284065985003337328407","100084469931922959814957032729546348074","182984443938016363099130672520505387730","119709270685772044600927904946996228697","232652659749438147475035049147586795736","117753887333385184953020753354953674733","282830226798120431658534851037794569286","68743288517193960005327328345702101054","236409583809130662310719680946787648647","17201219584825985760050393196598311511","198106095152107968970717540615558451945","241368846629297272037516104337802361882","236091377933326239662869841195374135222","251667464919011564576908463991273131559","7962670519908215663117335538215495657","315832381562422675295529957185989098921","99279820398859447110918116730281471721","299129913325888906236475623938037029790","160917832087545282452375543580522155964","170303489472844146132755268171096105981","222594186636337699886313389346798318828","155717857217810486849345798840261549690","318206650508301756337535371818320618943","6603504932601290834788419845476652275","179033205314757424519752870766793741003","281336261300790129812560407329581248894","67131064871237595420260044967277795096","107031814115381298530910441886676190307","222500981427607646413101844901096932389","48835160408923275874769560066840939106","129069747665681158240300793839183904794","250827098221508193868648729093084757645","73877761542320080840544815492323373773","195404334389458756096135756893197929110","131266322079051817760710823271662175653","174048258535506596040168566267245560704","209967868019856991910847195211501618781","92414956318387955953073007533445354153","22498209886834426803329369245215457931","147635317303736531396557889633800034705","102517273351735241510268110058912623541","675011669955366205397798837355536039","99636093233140150944568574936928833194","66665765964335622131724279328943295201","328140591415924300728382144778998422356","20677019622159967691113437161747157434","76065091477312050273437249969790990099","18882490187191619343011489011649658767","179139703566774213647407274528257476655","11878989821771999415830714097443910084","190409184637518120225076557840294090899","138344480839406956016686708434362388940","243158625059394612726413303648866997943","281684898238077442412424819533082406237","36168710442967625863945266525651954625","259423992128644090259500849413902567984","36359842837529654234598104301423726367","304389716611485421402007403952532995897","88403817145251704617132101694533067964","89719339846308649049021169229790623337","212043776771691393494856731235954495579","283785613064254554407338517325043401596","126816564837042980473462112336792980908","125360493742089060092196455556537298244","191079198587930317777439609203936381273","291854397615777773176684455035730645341","256544886659768604413565506118583425333","243693595591815756730723382443787276393","229621437281767334992244850301145002889","88619621146920375642206274910631514671","142374711103624507669404160746178626961","316064672799221159537271008764538081763","24056602534082853456898318377693360004","139811242891208224735712108910362960841","100759665336194864724776984292821733558","136600084720732791821091605209987537452","203985979472160678297182926160480464713","247897035671050550509512895045535838789","57911324961162664006027261350942956199","14341128514865258267624255854492842114","305282923709312871131188890125269792870","127885490738600262679023872203112035798","322346287941401566852249884909847699166","252101481848212288886788606676023877891","265838019305684143019487454273119008968","218952070804625142990605017506407120612","172175329161684018736699672277229826354","14049826091847220688065542110308828269","255185163687913819617262260552842080197","306909027943325298375883298471512939515","288678545151675065774985198282413960877","29696523335556989322543138423602601684","165530667970117420985445287204747110227","114561413361099551472851341812181611705","254879197349495369553137006323186582851","8875670085629331410307747480766536328","110097737366977541742736074906324796991","234920008149983109237089181181222916732","242374492438556551697053700781728963792","195237417368629067502300316319024494151","312855059133908895339659936157037027974","71383912126657561553412505904069855583","46433869662590012429619090056141864999","46030674788775358214883842444292318560","100930473206636192461231823519775358445","94962602766445814954727181414509279358","52907262448826037443030020213896186209","291525395977046652322873477277268137312","23179408565346698258287867411394370942","161349033813472014492660189998621760454","46992087696169581129389829701000836960","118475849082521391684921866742895961209","314130352641542431740692152490379481456","311308933477314724169584461859760864247","286652010217760825192645350959030833845","261118458024522220629596099708026228020","64890688926765894308719921420125110572","214512805696340872665119147802288339755","116720675427154533080797607617710605304","336045050415633557028843610356670761723","150406597476783574783324791689772400716","181400870789112774919782834012550185863","147063604715165462454658868044966888220","314435675941228118502973981270696152565","207199299023905389269290030921445130758","178006389288538126616231973409807346164","22442636237247295676787006065069272482","85430927295581606113166397009849040900","145063986077811930555238655067760490508","135053025737001326079073790209453747299","25499876506357070388767128956089266957","129881369682939523277692826326622254094","140598270024518789557406127501303462529","25178667454388609632275896570417925969","186622604952108320963096420687735341217","283535136730009883343595299776770974810","66876425808326510722075632718359320763","65000913001748003761195234790338553872","215603208438307851602265961654021512438","122598889596677526421044143197368713908","153137351919249337083408059515084261952","325307301366888338573961801365996330692","244418016254905956247745123043681872098","281203194614356921381549541807483226111","258718187247806373981112948222974088139","51915316095572579221020403299910573120","317196962076582634066178110287747375445","72463126633290023531247900682292929151","97673850639300196197779715218580528232","302408492912803078117053568816401328666","150063887080395885978981523122872172118","71891416256423072831658939346312049580","236032293532341551771207595364100355262","295309361493584635546742869574748712229","307282593722733762104918603141617695729","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","82050014520086279784357800492877946544","36164073414345920751824405304147513253","152565102597569257779691753830886559721","151381628943422406195609411329798775351","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","251349629859368940995178692657278737874","306203286683730981784621437340907323843","329796423610966010401404843245302706618","161295388123792645775577985707588647202","16236565761608118478260063713874692926","184103714318489078208049159568272591949","164736936266279496872933720512965826881","56983220505620399261195992681983184644","93679146769788197473828040201582117589","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","245110943011362307427254884997573100061","30440356471918057897765503483666639760","130890767550890375841746249371717657529","99660024193275539913661718301098883721","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","20419486712876583063414096135252058537","242810960850293654496986000177922366609","296521062541265161174252873394998515553","213489119033948982978985878361405828542","136943768325793300768488648659323557445","160167303873043986232084807020603985279","168300767676217044895094828812506777543","64458253666886990940302069676128974278","157086010066889536025676503672209255152","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","336601157071270197056800457065027232053","6276644920410233255650792733757709579","153077851751278786269028453346316611507","326284788158548414645912347765897866454","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","6808139226321185669310627013536606131","159021194789529324677682346962702348928","207642775031447539689936535698421368163","34509416668105640846936706704240849208","93278320689274915186170400877922978258","144973481360640988695358662163735037468","119663242594963914835353462882934681783","269545026937184710721489078466135460511","38544724036220753682277707764179446065","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","183027072659251185259685538112924166989","173033197832186641134692424660674487953","95414513229103860587453015828169837108","30502078716792926732657606294333961610","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","115999415919942884419393893273206391001","267295394486164938006863353054574261148","181901657026612897613026172511042578659","18364136836242120332387580229433318083","91886887741148397509213842924513109723","226319446035871621217729602731409801640","42050931214790222073621717843942275196","259731365804172275335023385564688784004","107050493034526667705121119190599023340","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","268781877823465093789705317939630018517","339827610173440216684660634736218118810","36168496959980490135325926790100377281","25771325683996925342015604741018619946","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","20696400877577496425528806661201701016","108896033495388699411809710391043647328","138685481329511475121628420869363074757","222535982624785285899217219553333417960","184822481543518043358473458434075801789","131967439997186972997469506711965719518","208260149997199143110005701123197459289","255007568594832635836852854202509906674","166918848784580281163653303336482086727","157389170308175674463015475767523822848","285880662348258101971454219800010118039","1745539273488890003982013139527706065","168507892636157776477114438368596572533","201983509980867790702154862974786307949","302093851730672859751865515357224335959","255041078294946146426677302976297027539","282965899297802765347398989189036604842","45240452211398780344943997291283621852","283070349958110601033234961580386750345","10959840887683645567230017849257369969","121557038698036299962651369635813736030","52408232664300274599632297039071455060","39872471946936236741461717451415571934","276892328271728583430882507605791750675","102720379810728830903079483018498564783","268763433529398428675531848622491645242","32819967404354629411234058282489173228","233664817116090118366852058687080914352","316401298404192677834875617928623009922","110391622483693173266871281185611287035","304555530958374449021429850714301463079","235980844969651919895280091017890566912","308580417786456879808114816782221545096","21209684314527465311434468199907599030","320504497742648783411717701208088876661","214704134094891156270382213950224152652","143114337083855279644579579653149436556","113495848513060269254694654662749201146","39912613180314501490374153862854048365","285415858551274552081398485756112192069","274261565963636398849208208418187244600","186126897498707299840010271179499697765","258806408631662630698225893141020657894","161786410570184308443454628939790694410","72304393743519799109627080437537288093","154989405704254079524170090894253764283","58460449599666320342419966444276825231","95354336177707009146182703559670053516","192869164769997518696524735786823023464","217435267515047981347840466487419115476","2358829412518449820267101904652892022","11772375189491610530714829364399445947","276256027573964664479997082924695896567","68382659161802695591520988349695973015","197577053692353444139787535689046916175","153637123596321225760211995736669104827","193412485979265386925582491671766122477","321433323691843545685794695951810543561","82890609006152858084804669060312442657","153876910993723983044426124102091635582","329226398553553079576120296256000373286","62412997919015772877813279392802352965","103310779000461258365835761188104662340","72828549492745214882725314800950663778","152117995739042411413841366732309008162","240222365995915743311638397379619232029","315316154739073353044474532503731079279","65756551930449687722586965176837356796","160430913775849537619449181739201998591","172327796313159775312042103319468927356","45665581084610840877865191150775799591","76462080153746689507219376910818304223","161545787998003628026579755237039219845","168148866109359768675304081641901977144","301429129903132805831863667389689239046","335365138467840238261145703902152345040","190622870710808039590899905787352205831","145167489503771199287410761015700968017","150958868577090922090965554309387427484","274043424576147829745710064518707703969","219929971240727832377561341756361326078","92907415434848325841325784657950701376","213551401587844723003665329687651709763","299175274936410974703471264202875004148","329223625234084061666444136863214069652","84867789791187770916657436728594266445","86310184554130178438834125998345701896","62993188641904807900818269737450876574","117110975166504797213352935928487973262","86878468751424505366256536459264714609","45251218267806787785226643696009802739","50649593262160730545505973344522999611","57827806338090955424561306071967973819","239998336143662241202110949160518322997","27824295711399563242545430414399787895","175174338624410773627451608135698064772","42524918000716551531675789331569273009","290493783620086941173075080403791407626","203229965057534238900114581871901287045","255195329823209480386629533495585629022","52517078754722759360612167092646844140","231585174986493525161448959007527742466","198850378198596912157242938241638480776","227903390719577613990704357402859053098","280314732603328591606257415679793540846","21975148557649075679593001359889301851","94383956515418575220628552170564902936","287539644800442978704144031010496907193","332782323995673610006615378665591416401","35475961859890883923149698859749339267","175394403654167515758138109640117177190","147352409039692210328739333321137964585","149908804675974072660724015638492169138","209458207745508171050255990811280649489","194015561872032372681560218972442279745","98788373011191127230688635466710226885","66841626073975457640621488020690405999","51934584873848666191200042852311304455","240978632315991134623201510537216804684","44758233534170589990562166922221729500","19107448192001615188024598157162342260","104956516411042474945411574398745500273","221896602789750387259828654504558174402","159577854553961182922621622893241283126","198984802738370258344411494612548207182","86471768573937560334435749493889214222","4597673331282921743450184206982373189","141848151575311719626165369126573779257","116734368043724218167811850408365834946","236204595944041309953340207890457719959","76530275901711801334995929888764405230","277825761518532744610785476872366814013","217877896554230401865636562289864444795","98360193783249803152916849587052099654","81475887597420221650261351080626458794","162643357038949732666530127207256238127","133516649588025498284075738640577358160","146046806317871248963071794982128297833","99670971675703998053440606636683451225","140440201257627440042075491905805609731","26353808840373306674742774902523839845","270634096425137308681433321223521169861","255755628092352027686379355261440374490","102879884852351640830795896245492882305","285086699018183338009639270147287681917","167007247438114030920862411896946223346","335875734403092005311959305457329270006","300355946011785574651283861045220836754","97431019589941812713013371653516967619","39822699646096853917497150745508239496","68965096371692137447872988153003737904","240190262178232790347937401146544630554","292455539303986884063474797993341629485","300760441980272806498694059153613071675","167841738458273500539914363424333933591","29944616113548004407938576447580532415","197843856779904113647144502335373510335","111011192958420015420561344703696168203","170606708758467058041893894442888534693","2979690926477422697025602876526610958","247457929299956522416807947634012571891","108225802104114856827280025167045712064","337193686145264958854489218207004240235","53125927802447345772650379812437348012","37902535104391402219182356812294953528","183236121779307298192808060770366353667","27569011802922854130173317059490204414","113748045439861672202243865982028019486","161839002468811865100390533879454704484","145494656420295315508371861748696459861","283329217021154059390299895226587231367","16314886414233405749588756089329632037","331257828330199360480374799876676594380","146002459302962750375608198119432038091","147335032710571506596904197413438109126","15997542363365226688675612260825018694","285908592999161726579576693698566403988","324046364707829530440076439305211033857","10239075509863687407045091098559298159","133099291798636423810498332360746972295","189985486594223520495695526111071780310","197658182180722688704195821821051554570","2130563820525321384674521393233167549","119651880278280427755381374234053698799","276703141428463876476878724135464514148","285626063981903829795973181329652212336","22833174270394783582437903839935682805","258805919935039699644313353020952896736","275643522861725670031763757673838384156","265837451069643101999744746038655628341","126633320144606965772241144309309725627","78852207566140083747400502561336899157","236801236221606616468639666635596330686","92937063013635428730676769476873559367","308569012200360503845104900521017640038","278744391124076060923773086627601834912","305262029229918806547793027121016971152","278599904662933557463053885455550366099","67776965982088975150823437696468166211","237400201825608723386160916056437944525","129126895434260732090077770785859380466","209700396119090448936939080547858848536","131835155020146509182997289202224522420","32951776257321711580579060933067700936","96755124776335649819554322793767796039","306330370230913623037095553617616261984","326821584218962615989782544641073436067","49771855543365360389523665274282737108","20259277235091617458634394973855513274","161939336118574707622283262829759694691","21411953844695635846793938146278944800","211738423467729432003649214319763999233","180514481532611707714364081695432247544","22266344126619195608544251464073121544","244172300647098034813337770037068137138","339483554487231616456091804050099274579","195287363487035796648786676483784362641","129256934171214049114142416841103414239","188219864898756790795797459401835573694","64492875205582187243987313640541963832","235482757076297342723496152916590620175","243945513966587223489536352112938108423","299656131246131585947112694789039054590","262260761975650085691733492804917444726","339968556850001604360032619524119340693","24705430197842102367220585490613261115","311034094430859601734709754001583786732","334773323622150954633896257081720545464","165529389129771801099321185838121319273","38151512433156437297359520942766638869","259540284346472274617208841362673809485","228136162939181123989135798384257822279","253102521390578483029318374693994824617","176634015367720472001539846104323049560","302419535457258150783668160470916279884","178721059583284753678736275641504121783","253983441171315030853499454378053607292","247865108774163537193761851017828864944","18990559300148885253142914518414440178","336327617107383472032150887743486302425","98239633615813929320941341410397225713","92783828772000353067675412517774837777","339728813010583154084602524521710420524","300650829846015771508628369813037995258","306240767276092966604212432155987794310","152833351351057728149863099376332481110","336332227706045370561972222871915704375","308304892821043567531760406774301410074","7826673618746217510092464623375949691","44872035479408068891406208379889146831","216027165058307910506009924588577646882","121548173996637698970018506608520642206","160474797826045139483765138466302804446","226583858440493607423656583376774346582","333553594900204766230459855056106411560","30466665453721171265502094218967125200","270364199860677960481950418241576705239","212781926861986114399353277489319515149","88452972123519819895177701442727582125","73804804135673438820789861662528642415","256348211404546784495811370263146913508","267064030319979655290497931015076453091","266192391907742222309716848887100486642","172963543795660906111381682229528088840","24739131765610425711048575873908925048","229336294552628713064379998573080848284","115933153735874722030712610988873875412","124615835459675202458041345676064744300","813234924371596933154052496948466977","38661745641909959881425488865043138110","283968992497316326016769520715506272857","137752751187857546366030401031559277009","215711363964888150352745661855678927115","34965550363340421787509983707748760818","321020802122504363201960373657323941627","75864853258846470276466020912328300138","114149790268995168202031506128457729777","127778344691790083912519102092062711126","18666946719045997035246923229127101551","264490668503910465298185675505780210755","12219412033978407063730851333243424288","20597427225983976018628309701671532613","316487817489452876567115185236062447861","336629207443168802561285535446236657636","48422312065771703319723858163061042239","48088970918204220979635955736269066061","284261411026810345592193222105777259920","131766512549323913417177879283316255115","257810935254926426399701447303725798899","263011358571899717519216456072364125689","305618416720239891782555941900762108608","226295311025120187143366735303162591494","304953213589021066729989266802601762123","107370083736922823421589890655525678686","268403899290150242237862436083719017055","189298593422449086781508779142206175863","28520212932210651326643900243306199951","306786094087628026874226744664363993487","298545944093374967720942639668063349349","302361041540569393542619276786676064745","285068163867116156169140271762681380846","277812010727551520203079326484322570204","109129930789136421130522729948348641477","233786561716321201335148011465627220916","58349977733816990488044333955845498505","228919748216477633272588532939858733737","14532583115363493976693784603163042570","188193369307991952009052763700343108880","98008336272124363460343836662595062749","267038432910983721325113605159085181593","34607210936061002005987307771597445233","142557334456068340114231240291994866405","61193100949514484300920847545531239421","284468842321354573869636343354387753244","77071954585378393817811503853215500596","149159132115160130378861718814097564850","334172296667529173113810324911460468282","230831345608696282789190779652105273075","266799328541405467086212705652103989015","120606333310457967129306728681980294298","35497706724273309447003883248527069377","72437854226856960275264527142869752273","46480719550686719580230055790942253766","199355101782081894160756313197303637310","242730009961518636778263678253536137645","33854393532117748865977762916184179743","253854954519757545779400810856031255204","176743716189876736090410744396483842696","219103786156218732477022147287698715889","245736418743590141362066243682182590149","126614295128975225354918058657252534270","40297158958554574353255470528728372339","20011748646385676897440485417348240433","303970797811215077913059370013018442584","12934059343925450131958610199854972693","171830327896256557880910893628470391155","160034588973438784453159096787008838582","78916798108657468584816694297182933916","117571527179920070109894959842736872204","72692878339719689816782867722311842156","278359483333140984391955591220101000086","37705806477949330258907194519614583051","36970653094469538842307087840796556204","328832841481630608944737315629442306807","3940169378781614188152927513728187350","51040333339501027509366842014652192685","298278401394249330136686574669478530960","265277180846262739911085395617791242127","316053908693703152418296389876402081529","146514183543862877462559232495897531552","69962194910479271945416284679720864479","121307716890409630253547522227363551324","247185671355944902075452794846301216352","315341180515593093502925736384519205720","144736465463011839152501981062107518512","218916472631277027958066386814908425049","134835677949556459852208984422842462613","132989402503500422978197632146119773357","31673765490750546156761121167187358532","183137985341519589489772825618464673327","74100756300641182025490753133406919238","171771223979299038942352810505633823897","178574467814176174829958062773426102241","198782052066069191723051054770372288212","134721572643163685303432327947000929718","163026845293595201956441821658011328840","280489631662471475943838715167945254253","250563439491058787359566773510627398734","298399396771632739623094061320678869265","261813953679971341689446469207177769285","135662178309833648162467133143284005722","323854246936422094035353472135546913570","296446678609638967200266034669399587584","190831906520385762903583679714954353283","282687642550995000692026448816591189871","39110290371746152762088450235691868659","80137081334507131481116447203760084400","273835075874325965381731343806022421718","241957481851546908294453110636386591997","222474508409903762592857143824872112680","330101905334174008135463455997976404139","37961532366096996438516423167810428140","317487497654553172057318917736025405652","156868637222152850087544930568067709494","222252609368478206581822430000655275626","183728376975679652089347328398886836170","31210157436932111456234620035734692750","5210412343098312628417533237434757051","34827282786317715405436320009613167896","288418553547107113589450754089576682729","272419822336429082153113475687616658149","25403078289733809884378083850174300020","253486150968955567347744386486417729378","26583117763116085467325557888690170587","214043455906375036725408380883418863412","48295666283531525579874964793792644757","337681056265928660264088169193694223136","60399014331124340571004894191376688354","202462495957339446474407409877892553565","28274342432858731027254536213903146679","70462682876357445749534809965988185819","194452304112560042464982640387334596749","296826442183050070016412175833414235145","237710621255362866087723068782807945641","155637580849654336960110675065843649389","18526179341116813418599618976312016110","317867965053064072485742116746092268951","36044204722946389240539698040361539737","323656364376160334818597627234868732351","150462201605165880911270719699891202142","333010236315871572544487595976906045533","149388165392312106844469558726829660871","2634017867410227342616978531700378821","181088725614235829103627738096451443921","163184341369493747225667591471143273349","293073682023535784175922709626308065945","278544233633788084589043092548557225754","254426014157064433021425296414579516615","106407542514591985433697101781133636517","156448805282609322859206632815159551325","181547539660552394262968326569728645602","276705075241353598596088249415394553008","46816813872643339491515497757758914321","186936761050703177551144643459443928417","141686826137510288873488906023017982381","208679732001808406066220711826759087185","3272532650963992416046108329831998646","169850119052834319151434007124978078768","325292043272152683043796663420424368349","173808607700621185539288209784782856456","103514384954837027838892447933372693750","232148816596292850859713271879402212263","150543573979608515421414025639632667298","243138511709738322876214605615950636432","177673774259902737654518090707111885545","53557100472373790877364755027195289106","218004666419840100874049784126502668725","127616417508681937659658326347220179746","257688298054296790323886141505394371159","155223235449361407370930449700266445516","310637918189521690950525377051881350373","316709462509187256314742918614952215469","154343797298679675679558319643097837873","182726856368549182033308375796444693657","132800271989106888411054115932963556193","212147989828855523033599384890781855067","22980436945876879030857791885879812579","291672731787429767702366792359622913345","13107820875349135352948777143383509717","333060186822094632945059881089153025961","264099468495148716075694091167554041364","145215942873731298995679220247838052130","26748967987480639333868320171510584739","107421447435167716337664858232546572114","58100613746142546612257402943213958304","129285153844367832734103944603476276239","13206443362825418438307409013626988464","247213619087359555386042463937234425557","174816670719769954003261752383777794028","201364351219309191327173892553688542128","4304399623438829484025339824361757108","10688281310790884723435115412623914889","300748068366559109096805125455947762021","286860799530528472277613273245799561730","293392568486412975659483215372391603113","309855572051290581508356273772334411743","332548186259307014401673625019056372132","294252370612600394656555549555581068863","181507626564820783663524785367187649725","78949994652921096007453103528407145354","231383262785944501809328520455345690199","18461765207769997562626483769760255527","74013393049264520394785379724020487058","149538360431929333956799011065991701616","292479657807706187340858665191150468435","216932052064821373143057906016054160482","291757743455685563969930474441634927728","322754355688714117938710316197996684856","296999969997982026668593899842732935989","60584905085339365973113651935716509650","114853429692777139572153974932191645082","45753058336544298957147684613692713707","170559197916910428179297464850635883185","3167840424047090326203575579833016314","183335015583896889493277832246102102740","130065434929664537540832905324162375512","297547622044370675357642413431938970005","209948206899816289309007771993412703289","45874528599045483148965416431427650254","60373115907043715834049837827800524691","18069020917885225925043546385474765563","225245918204351783135194095816455043461","48791167822656057332060573227620999101","252625929224295718560275593925878417956","340001633883014833539607119155582320388","177660876444823740732829360213127027813","109563537481112982287176381238026280541","42111436279405358936454110664877843524","254755777527367970333447751714690936292","79474285502966234063991219201891005832","232537729063161320793174380637254419251","160449701367419118126773988906887475188","33292550480259351665116657310410459801","126743888984606828619882210290819718754","254883317252524871147551252814429784737","316404137607818232254237286526572341813","74265221012127953121774137136304826051","102994390272800366667287872168129868720","76150684049335647534340428063689651537","98843596926001632381344439734179408755","231733258197180538427266921014027988039","231637385933278978872234205904676483247","125913309210763855333129575234913482019","1009740554312795555062101337189255319","169744131732542528073541534666528185379","305229750478953631774403579938855783172","61020849518440790149215696057097910721","23758647276840653688685463943891475373","185161867161744649912678756173515812257","189641831587653835436551509205263208797","171343895025310371580193646672947323959","46874896662814206055894454600602938711","319541153212261225904817497942514701624","101126566048635672501155114073036871452","112384438517598581336500874091629173789","60696572664463184350216614205407475789","258309084976991911671095098637849272140","84719095116270479448749718152127123987","93664179215984838998449704642416393716","41040174072188560776866060647912227628","277502765761246665142760987901826411859","239853357688243283711766451148322886762","117071808151763568416612128233756122828","14005556839114918970292207397405147854","311136684584288784577890265590522339548","171017613052295121005619671190775508663","141210036343190371328424247117468214267","202956550299971895029037354765865460248","14946342835014010207576448737203654997","146203012062735698100564339411603067525","324718582957389054973516116932923493582","230576163412031765526530939382607411370","246434283587510985065091457006209181639","42579413320630627359432787931526377288","118621526062370994362929567076553817478","59472164476695882088969271817212397970","102370839481309506849183312267301295307","334036005698660900839727355139377406969","314520022188455654826814639923380982319","258424173313262858185947081645055305060","70842692247244957905938994181624439560","44602577593030124108908630916672204976","114995485515878150935753082669102021353","296481126273284871834841444377627379844","276263914833254683233219705727241692275","194421928558231456073509630515312023314","126085025845946004454347838166942808530","306074241257935306148207249646028651352","180067112887045381581121602606759272486","47705725239909620959201498501155533279","218821394977985971829906504898598892597","302845143776147538273650680587631244939","25957066366581975104187117422026727456","92999900058053734124028575578672708173","246795682183806345345669155219693171075","136784458765477186615124479074071204068","132622048255876670150625934283134125064","97359822221000402809432887964809759976","68347437119586043080500698721045025915","209200340751424601332176155242811801715","188041588434759587938662108623060576424","213368919768587647962290746808104678615","294810865926793685898216837973795353856","296461168048372538409813397377358293752","144643993958781264513433889224027089070","271251162376919398527425465644240751504","240686140440565673179270011557864323434","103632337786148442567699267355159251864","149693834319083134000449537636996059185","5605588613640095877471106247400338748","22194768077275482640864263193131944897","259038361363156762589210565063546161500","113743349099997648341781847958223631652","158713127769808897495198787813128816888","202561204427695023579259852216439275310","97178259324954464020671648371678703234","128061109758302982647424670479355041643","195355597081941330498355222170404433144","183420763538404533289883270986005063887","72853656562226439385802990013042075902","34808742062515501757993622640747755301","84955915293698548534838448480058361068","34007857476094394341323563788322652422","99718142300435090806778688017854905311","68444029182070443063281325964339743156","267121075581593852224701473812810236418","322662107673189883881420795357204000813","68722004392039293277584687292999474379","105002032227926253773058503768181650011","253084589603200262143236180517050040689","326644881891192496341420882262434362979","269211325795909260922026799600742336726","217277026529363479987728078362272849804","324518490790863042741961322361476020955","295851216512121175238380725505809245586","336971338521354140069461317757572545186","92976132493510972055635058396313568298","143408914410576058100163581621786538307","95864287514604464899487812702625665377","80490916007006201721034955642518710841","72937657095088464037639908141552156668","44210303701098578448028309436227794960","213219981229183275309449481786370385367","263050330064946356342135001272163307483","205377869696444696486108690682292263693","173890388102881158616124815305155322502","208783192708269214506896802335516756727","198479571295351925281746826626262245286","285920717040868744143604065109063252082","162251461074568312299280024083129250919","144700931551374567252060991508558365261","293409561432709178098416347258417244881","106577164027301995705991344901217539687","318500906385555934659827237491826432639","104274585430842179252821245241405208044","333889527660246967820375095040023720274","205557072988417910613518550145700458992","250112206121442257385685692386862568458","170483016486200010603921372438186818910","250523124088458333705485858389918612841","153180492299347095255948977675466371580","308260398100310848082822476047346582376","264055666184845791958031808265635595427","3229111741798398007196906878726970208","53077284145356448819398228991991616752","267995941487581660093628330933165541013","44499611307976599952679147802031946877","325497646719886658911174201472602867853","44131409702567851444434722688709058659","99470466897887040305245268669529596171","8030582546026968909451739948384741001","323818321604745500118157732350453431259","137224694005541394809780249846316834304","199970727131108430293488380797840228638","163562318962054738142722081032697193493","267052646769003730532978190835907745059","327652763568438937565786100560094416834","20015270739742151500069407377693020981","38948514915141480292391428052715928083","70394966996784895321266742811290655639","304889533235130850204509932862379199110","84697772693067071649741606773107029392","324917472463651176695083053559760733531","77971190557138694525337627242112185654","95295303351009872071609431210474999081","94731622546628317850407779226251589580","247460074810678430694533999638163259873","109104830413922176877632341766066225219","190913037425296409381165605816300700348","333084900530989191742369147371466480523","206267701798748993203352334252774122416","247271341343836413468630643916105247889","332596571996081628804253267225464935306","148719248749610927071520384903662324582","271249602544676145000145392878207810288","63756791228592982170439692806265615212","12305568465818698129412503881171968924","296681496517239042413607418931883248138","130522041163133928824685943116329127610","24038632621160070067213418896121753079","321806295817346342355930635922408708211","196978782774964653991008682992744006315","46772320620987420839392049734062129124","260801779579366492827317845055979987492","295806498441958011131214730157366694930","301519780137977208195580735010905902901","260602011124894028849575600771604082585","67555663172522458570916195909013959051","339837168771049400076581104218789257462","239525766207286126790161209477088227790","44737249061908441667923110155520250493","5470215555672826325939767846103444044","50982585282077198520743960086688379751","311129537095518339154234791636833304601","88736851252393174925726645618984440988","83552123086923441374371173955868117562","314030590892922092773732700407976907632","156159591478778990487859738742318344693","328708213326341935276512465307377296755","75935167053407508392258742595457462123","307064176732491627099867247819821753718","214079589304261199646761899698301895222","220470439413463436212205420598984812991","57894372911917889629422120383769019336","43646757885391197866340031948106880438","209471627799200559239916788132164640841","164862311179518312833006456214157081960","57570353288969687202930172130325531866","142352856815623156634663906028912845718","4453655775055310863049044759234756793","70575779998120538675448931332958136868","305577114660827417344296022492270710363","38993382257150620289917041889559913194","48612935839891651629487111185633071580","221684146043501214291449232822952791774","119363480963025359221695338284463164343","203172718616437179657202989991526090978","207571108501251461023306244914275231523","217355496945470304211473783619476745547","322614869763773150823400207977274035182","312017534848670727497550201271087399284","37892387492402959452453909997561970937","94767093098400222917625135227716365327","187428021968869198375307004665872309564","7192406955680625240199507537564890541","73385646099407765303809458976356391490","210646087562299911089344051335447410181","46382540818802070994059704090658565861","284283201852746240821523841729291779718","7066041621612342704852062243394110335","78217713255133806336799077801858516347","21126631513261022877920338112655121198","206431250269447347964271550633540696610","281201692214080221049910360271786596196","228042175943811257119456402435714352451","167171416649255008192461130971293296872","315145421009268958845175874245870463316","260375415622830527463661045038794047873","217994826432678642686858405750046103350","320850091680559989068739480096445021208","235256261543971595656802280386081319844","237277706278872681130726602509235316139","246497729904033858414840481258017869336","326805383475361292388465894273924910867","25666141903123289185161510047757881435","155240845644599962896146338945870968132","35196191647738044404964961805185292704","74760697363191285482446310576787132002","96068050519718445092361923764269930873","5674759414187152842230458517304701747","68956449875608828927204388093233320226","30836231605983141543158945842664323312","53246294077097826802883822934160901464","236092313558920782596292648606608868679","337350076972040266440980562709972329879","104717650455361323146730670934939155857","167850290370234053046068725738022971572","655809658296081340044621554456184708","260986773185102184652942011137717914116","156652229726258898401414528963757073598","22584336663051000354630207501397610439","231823182868210562356785515490786508131","30358289652333003142884217670089987257","206233346215436933695264029623257578068","284335205833927118617573002196601952287","332842540165105418151538601941759916099","203310285063233599573660918611808265838","40925675234114468854631742447856377742","84750005537671526013899236144890931745","88523166087637973505491921013927741874","141936749202516292204872896234770568230","4233454598433936151326064523788816108","187889084713868696559116147191033013718","19283059506513687452177368394972830870","323526149487664781681251217363174671170","119751210977653436621322325129548731704","300558804183690397308865161703626582234","39778922360565516426872698945531155052","24274980160236736907215231558170631724","221833018848591503352191120067331235283","25655448125062951260667445556797759733","319881545917017363966442440706212676412","184138455535072169283747776012785023801","218173339029212282028401699106988074898","12933653630027315313045167055473934688","299141816828159009992431354978014169246","80168983525825243442564546836552888870","283587314435505252133262128490787535605","45278456117107733653308623340386132372","211312411571690744224372994580640248786","88737191706704151223470181785799765615","310308202205358268654138960156970519391","268385890114663735633275405587826274167","139820436824780091484318114918289913742","61407976666145128163384236596876795753","202088136907823152067011062622642418941","194841761606316623080011017913847721141","46228263310728553329053109502860291937","138960933973834557655451174708102295534","198424079881290187231239702711989610405","274808129945957980605069780495834864082","186198097525744415502434355706978981597","192083258505588848802490882861576758127","125177098947513039334023675700995897002","193699454487382241589504656750295605209","46812516019019145473116571749130009655","294780161787602172289596876730162945057","224397134236259357834209698618840070573","84811009511308084969868761183944256372","134715127958029989202702441669349073200","189622573699198854064440466113239141333","92435727904490487394918379976941487013","40540227532899635268961597894778099171","107008015900436961964084214651273157742","275986995641433026956902751259121936574","195048810425421179914951618066329517103","73478371837010120482598999510708545300","36327964951967627135885213121094543733","52513523853912368540953033016912897892","11498167154675376841548308273637742464","260654249142228930948650887469576730968","13057076144818314731767562494828785803","293018165587059971579547290748071064811","225806266217166441328813014354168113353","212065687216786150794906855073465161120","62259290216913070191606856805961168263","94482813065383563517859716411297527639","68945813632400598824153616989559307528","90700775426292746941345753841023717004","328294549691162861639899103524110305268","199263545945944702819771861564478175911","36925931533736923042308951788278414895","298003911338085005946526370223487812588","314521607231725222449501947666277952136","48665713533607500267154656457639024788","286847430402807961501919699037121087573","238879343901214714747217810220887968605","311024320612245298030610938356710876770","152214932421034779298619948460790418886","324963958903840771579542501835768635599","45962858772797928414267135737222949054","49190632188647774402749548321718556769","219352921020426726437694260644561174788","255713011967843305060059382376656101753","239906385985665069681168312406241437678","317288679317788937321932927403688910136","178681253702536678076290938550104878232","77913100081983844164950365026971094859","117254711625828298654985958073844867370","190925389540282640216345811130577489868","212750734897118172221742699911235919022","23709696526996667770042282655889883574","140653982946195476495391537216421004556","38389465467150952336730504195767065286","157016637443587175259249513977003575392","201594119264414911126912110975630580731","324392664944421363349531385936732387971","80191465860088784954008051947543679250","153697651568474953739504332008250162140","260503679235063624825844865105486243293","113082435963288898717860482655397525892","209987145351982975888235171575443224050","277657903050528667792689502252366228020","109566908753217240161811898428216813321","46746420347064131085785385123477295736","313935188444493372430067927583306676349","286711559416497899441970618901367429777","141758405502135076061071139375523596315","117986209465358424873619030607100733104","106977703850827670263033359450049696564","84922802086027897548655860056065166062","260151754879367028532997604945227306360","212790522199365532755102026433842601443","317084742099516444299630191950984999260","213927606605995023471339269866527923182","259554025784092472228901580648773039056","133634023166989266059708213523163975234","336628934613705248178374211675181350585","261726896135189575421448180020315075678","308148616978721447804029412604669566288","39403559979576516835805636554339129557","28017858308596544065086486322363781544","217967449627144166341259745199015375976","36720579216800645719665404279892519692","326749848295102134923859475941311609546","218218451221491960930362734165830114082","41725948597196611715227042157138921187","56701080525607788606943358507678061284","68116924405273670046173394184728987603","117011804139424743395257549878413256295","79510139275450874871370553661774755454","268885638432388827459553219813158048807","70158919041391052149127087599131716287","259531078365444286356878978259115950707","149515489970359978507337075064709390343","107581471627578744660937149476205380809","316597946655306798513025331426159280146","193758334458144441414239878146129834142","337274610190681815740270220602580801194","160487770232820578770191221499179566860","248993074655401166734981186773033616030","17454217333071891679810796439716960193","23220798568137337023864147143931473592","42234441287919640606075286344630602579","128021911346599998106159106184973176075","33340695750378921840773978384301532560","79112158249237432577537397178869228981","169279716489194404340939845704282929068","90604912727008528832245002440016695554","270659712079245340470942976884882118298","314315487319089018019286134172105389787","65630475670343961532531141339010358800","136477661076530556207391733073590400583","311344454298394345943390580103488451967","306672790159200654727004073517388478708","94105512823279343716871961059129514257","20373796371397103911403947372916318151","29791733494978271281443473502332080328","86512253705058666482539581422148610322","47519442796529827993220484144872163380","271619532856209932902106877972729255497","208317077916672512858357197598248422978","53389218381263353978101166138580775479","219603301312860494332679971348804541234","199002231831823011972630832053672395217","236422278551751442075083736317907922873","334242172569625643607988222221262447924","156002554329789909283074071395057585790","18527737501214986422802109355551885771","34677820956042959863177223764971515778","162467018281632094673066928020386823875","216456690550646683755106524859627849486","174322821551299996094383035942205235081","69172700701759634347284319246901419819","257911175947302132409744693720422132949","130542730909598638285983005750822087166","284287368796950677500094598661183661412","10646541810479434434236770475540955740","245141477437784811527101164664572785077","127147287717716497013729360338336367321","166388055335527329273436954292255499893","147999393051092870673466144739475190706","195071920360333120571259825533111729253","2504631284462569351106589854066841496","128906887297256918287984468423323597826","230035499507424304335799386915902575393","162371429662181979561342109308765113971","257525030435714497556985511930375162056","41858839702165324611909381803934323532","159207366461073414730516918345677201248","258391194966783592120257603309589086985","316105180778206426565580899858894645015","221621525690517882746907269130243292589","35039487171312826970274854340044324527","103596286046862806985662590698409902735","208434083230488894300778957209546626586","41845150479405671638271761293132196966","66665639444728070402301302446102096984","208878555241111530178431567018770033784","132250027929633670822294979972794808242","206620201788570585347866396194739620613","290063563687884579171515689758117352605","136264952411128509122514528339216222781","128439873102712280292247504761797132324","147268839931413780601642584064032594328","196025597781172063324029895182929469522","52047576482429537173343544269082216479","208816662780670604477043462439900878760","290377870045858243041859990272090785949","21046011021160928313816889395657147160","252804450317146449258835620241178515137","247190612554655187288714254940093537221","77195194325757342954452894118278187300","86997929541059277200070138990245431242","72153331358526858309339381514524929958","216731898234803600623921506093372278859","328325958493415346663951998055903458476","73722282912663511970615223496689505399","123782902107883104721991499718283851545","82477562320241172520333502315119132002","199011699874136462438529930780125831903","265051710459199410218090262187882758246","75967279249516966725435925433104897068","9497066026083927369272035962008503158","60415584067758269045704590395408704398","138545793932538061271955283341811068147","67749359624347570491784657350340984402","101189175648919883791363960456758597831","175170083866673697864094746693564122364","1385842715846302992690428985749084874","136107040806676040138640331505888268849","234967834532550356534687111791442455566","150889732083408534002640919736263236728","159758466322021355194229549974950321234","110677434151006476478362818020397459823","309124697372510743062910933359271542183","34066803601993880714572150739181960855","26279639516240395064821222353603919975","339328403546783076209659129311708060873","228916662308022267052863744077155808782","326605866163302178539801441048686223164","278103763693979252382626082374556637461","123298548100413852290388374668550765367","280758272762841614691779813604047907002","218255694504805154731212264865800589512","22674300523399545699176666837597833180","133138580250870328718184038737103009083","339262024670902796054667450818171200749","250921313587727987197142443355455505574","181360757017231758304998711327680012143","53560976520165523031354985932773548269","69300710471086729534702366583520355710","338607194832867247993118585539340278945","135014325205040311465398534111498697511","288988624978482135848368424447648388913","40357350732570137229053588051616640130","290345946186811655418974096817939006783","5387489838774361498172918953887001199","181648068881025558313293963626843849935","334028196168248642047334363259486265126","231897684157308007934046968388952130658","131193779105400815940346294939263560856","425531798303711192567109409162817855","93904847909413641732118096359434244798","182718184827614662913763510252894936267","144598926576440289544899544488492090124","318659982740316842286755962453621976729","263833763285159672061542828289588919978","148406886220653782935399702496354950773","335757381815577908291044669685635333013","116072076953480400456641036985663148285","81883630627774011162966287092725934687","242129071293221110415854669827381064362","158159218611848593342746638554050425249","160322626657903920230106293622996430797","219817710689854886413741760616952689283","70536963297233042463402553639780107368","254099837204733304168625237607730373986","252307535821785360762597899232755767323","129804855149676304710568289497405846237","82616559673879804355026746427992310047","81898236418639966106171014178948965154","307496253830280277299803038718719487922","292440987829051245173286837174281467007","97892771633417502541610495445172832542","79109568652214733363228123688292410786","125771300740550682422265236154348611085","164670852300990374804122083340115406537","300231100753950238338877158404063913029","130918970047691031245131109632157475458","242599858985564147843348990027827102765","71985437066627003869842588331373965072","328669580867117594423135158030205740781","26957032671303918987675990711054292023","98943713385097717126353374410570894768","333364930840736337473364293384092729548","32220539871879880022162985198265120152","268127758401551309847051593861588434705","104237147294932924928764486840933198261","244197923657946999488010031655843249303","178585333000591203782332852454174123624","224955179893610365696351780269359493137","132138418329269101272885178122474260821","64498947594858365003879025903071159946","105046160664458673556274103713930900917","65555694800316200389115318357479134388","237520131769094482435842593923501117702","147855962801131050702260820408092075613","295895636740786536288088668674939717149","193924397107841315982193511282197668993","55710945128279052303741229331185968426","22282976566711923551047042951507285066","333541246127315652382883381192635834684","334437693971407174580779147224116803519","1165932253725769133514966192243685951","196945374414805522598506711089917285219","324297247316025654102972074024847977906","127102259834675187991259281886313012330","219939019226449133771503367730266913464","189800098765077426000372156173125198336","282745222327258323954956636220107180665","39726267847977545150592347761635525068","135431559812237600401900332102233896769","172449358738977009365052056940489684428","139385578968955815268786448580514559971","107603465752934736709499959130634126957","129037291374697665724642241236523713120","138883661123701373756196512052859486467","265155614161920225727574256982739808549","186676655829260592100766478426111130993","166590767812655302568981190031496179366","243095864493618803856100706327456006771","238390268069707529461901102340539399895","45316898290270481021298789959222442971","87506563845887444763351620749212963880","303398201099127936195773479830251562561","19337906459434583163091418459953393671","206170330572890786626498204515486786387","229340808221171211004253271802604807964","151737087942640485587426353842179092848","122600449928364882107481245209347448705","38109785337200757422942868439061373194","215190929303029960812077502594461716700","239019080589175557333776659969930834545","31494832906730015711842996542361050979","141421953784985057909755263753294545767","58090979211050830530397953616042787249","158146638975294245978045967582442854840","318190435374228184391145972330826886104","263326952909557932466998216029341405944","91275485552991126390361997113127674755","195133369670575050031731893286544109134","3234596147110999424265604107985558020","250992365597190154532964202337782550917","65069989235804418879623743833451184829","63868676119906078769937165085168456749","38914529135766036424295166933544924409","332462226221853884035089849917835179675","211401855293069058698417020946426980067","272425891924823728752946382278752512675","104022686828600103409627199093116122321","183318208693089341470775661602854206783","257644096204276761897351523906709335347","136400446758737203495770205619087220001","163808953861160961119455312099143675652","253655176846726881588939244517085579069","29114531309916586131010056414780298449","300104762845532382339406944181036697395","223178431172165792911083985628741648997","142561677205796582159487482704196261904","149189815028980780575837297818586000809","289991522818526874772072764635519673284","101054800599900864215479300856444923055","125105217816284968504794372950248930972","22662187324908460115082233247995583451","115571974427737199996023883499012233590","244374356294602154826650253744899246751","292963602745023877436376963477687501311","87903444272753756224067579962154714617","132978966586229106939930893445935151446","284873765774585734320380439497965381480","55115972873233719024707925606080630442","115937552302698733183258745718369080268","131736720589181039291025436118963907765","281916388863768350283733807041691193139","29190061710668615423780790962176057436","268710093233116119802163717722377998540","52089841625870511071717746059152761651","92947480027844105904526772524491583160","24950065030705689081335145946631085033","53192739207931101678994663803477184599","241596771961104047473650793828562829922","167049626794784739224846581337674451873","73256809516432231540424510862712176669","65811261548482838564459758865184666347","36859952757627327574142442861042834864","40924103465318237368730536014239524265","87486716232267383027828963565640223678","230770066877928665017197980127997178684","294873531672984499304336113755269510398","54562900563876093485019600059299545625","114473774484719840354631328365712997329","171416234811513402712492068832763511557","33544892228855270407978807944776188971","110918258931513322275863886704053067333","322846004789589026446526065108969420904","243675574793249664887627304792931708218","333551632316017193778948605767604559131","263798293123336785611575591673400502299","180679707699931318836597326605340243440","29285576039608932955895675225484926628","8496573053688818821922848340215555074","259019411248616066418656230396060725352","319843374557830167917270001217817078051","282874175269587695610954620057273562010","108022686383509895054325439319795209846","318003087893742075129114395497934667753","315921324869080973598819800837577343797","291755204581917130437189061441781461263","174396320455419827917303687697058930214","299750180183480541132523536266320860449","303671347327035058357193041692813645165","116947111121792294358047854454739776033","133026660511174102064145925164056594049","161508397605930896636569514023435095056","232226628723592240453991174715162943594","254852344376247923906921017943108657185","293907429176335091548843390219150350094","45758878517283022491715413947311727850","64144056024644133744782035568366556869","132873441899850898331159046344908809531","103614128912398554969436107476252040604","168691377454281445957979807466555297025","294137910225695849616350005672491583492","149434110491409231320413875945470099803","253910755205940060338720558364339882645","95338154337226242833331934665585821553","249129772847689594940385572830466129729","229570340744278999499152775762131425276","155049846213633877553497294914062328299","330608267601221423582753502145942489029","313122527611325492062941280475432660993","115552033448795682602142847370311756865","51896054594847016421290996176378111199","102891073038230796266376441789596054383","171688354479886122450897003377193124736","211046770254510637571613955096325748085","200120200616011447800432253192109292951","101927343200152865481073042304062100212","38329843865133845516145822382197732357","144656095528632158760018756727216726141","75330707803442768457445009744250919447","71745229091134754747099886537267643089","226117916158489578543743394124336308883","311670466742949132047978316324849538839","60054838210497819205390924609305488480","146817859087599315258035835222339553647","303296639651906374394110796703153544773","113824281141705117505996710576635483624","136003390246325349269058437012344868827","227569669667637775718858940689066312554","144060758604323371576749783647194729310","293236222835070712428696328534120954995","325701018698616951197629939784755378327","119150127280062730482326075273027158595","134181368968256119809443646849661706876","4747124282977230944797371730533522829","263457373122835353704360913868073241809","40664960769412880335767702121905336770","83832854309461529727896847352725717269","91764010231658159609750121287733424349","267500984097643911753203369234789543424","158196555674766072882896140251705199919","305015787074598053791444153495209473403","20116690932106401345089993448569165399","320838063848351443857064548068411690484","259992390250243071590969212275394534583","306788036306147432586059014075790244061","335443669465471775407408196620931498125","38774589991476153605117601027049676630","327120099942230222781528681141717652891","262650496506449229685963203923175714622","183957078062839458107037735602600853291","255431958746130163961883111502592860717","106864798216289628516881628767053815046","30706496391102132021064363670112499562","85758174508205985718964962273306673466","256721788730702982362497891447337424674","276914817539643692612827586778902728719","246900098145343912597321856261903134583","331216849900569303249307686491030465400","106515985657546227039973915044032928070","95242404761174281853388305501390142275","93541523682065797116721932632604540860","270697074585864039215827827036054410225","297263949790855117602799208337711364058","75161669241985054803411786274710065333","123262608008304404310929220353105433001","266337657052686033035158998172439075179","170408110882843775634482235008035157541","220617568906570816220425931984906326781","59418739717604910195059305575691463672","77735924316626776952596328568099898222","251613946085275505525787064349609122077","220113966118633050027933215673808833779","216794182541341655407456015559523323758","258636669417540405054374463177958533607","318667663513091587839938824616258911250","262344005403608615794587839866403840026","316060450316663563545023621763763600025","107128296824624945276569995183496862599","193539515852020134581352058898429141979","92136494732510166995114521304601230653","73107889214379988043719501984438114550","179395863476939444247937307612828138801","148410110705275461122981414652355894341","43872047959590241368071712016129908920","231084620709676455912243076018625950750","133954345211042940544699863661001041656","268477264625362870456123491067317953380","140522571175971581928649756019617839309","7003513633279906787507167648673330096","319892647467852424923475724270455208310","4394545457459799355307717196551299112","186623764289186208301314996065757079630","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","4001820319430651198606716179520345085","95470990600615341794551010377053960863","313296567527692016817895710314156538318","100984706573513584889614496881361378020","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","121475294107192676104054914047323179022","20219805430320236176934219851680519866","258842540144686821362549461398704995264","4192910286130501626522159348796565963","297766671910541437734642168775488089884","27906533957015623219720765473338240531","25541372949838496243922843851756658581","80342984237681456793388002676477261771","132941687074117055208707269793233826451","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","113788701229729932575513210590870637717","231106075231009148721929617426665285605","239810063208532683286176250276884283779","288308520294498280585717317100006812753","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","140179761150439121956101250958041319874","67705055155933685833473495695455895810","282112580311029938067130624294270627342","16984794289833585680225689779960783494","43755159594468491034512350278118229837","91875298271389463098106829161360589977","132570129044664436389712111580446676177","192910821404670832358331517523356301395","37253506789986076904387456485613666046","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","184487747285187293439732034420205911571","114763791631506514845489597630236456227","47581466639748369799067117683902089182","62416745289871403850274323826588399400","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","191418538903763600233441434657997483119","224478328424805822547112406835249275881","198402350057268525094248263568018259879","246145052733923776049077037254403739581","301662365331697551757756096455789748925","329737398226613057590227861597800161283","232207543210091439175574301301408263685","16450198485484788892447236425612817461","325427510314475055112558706392534551880","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","107703827733146607884877143231000156655","154405624906762458209992518433965041656","260947044829686568478993735781458595423","191387864257439877349484671216999890124","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","314291227763388156847735672708283861361","305087638166063283570103124276674000575","37645370653536492216098932944826451110","223723618154526963988127273094097462967","5522749308406475317637290526761933891","263055088328059686232576968285716292868","211063890516350278849513974021253508635","137537084113516733422328332598039501182","97169979958378525133591824712662782009","36535076994800757079080056821200601214","75344543419973162540552795572747898562","313055274255409222497812294853798660429","48272758936333690379235900917000095826","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","2388204345391943503792144637856897693","23228655701405992452579545712223496925","15289940413985456042010324529784611594","9346201517496160151116565571948902657","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","268674099861094883895176637255267263263","40435329237032385927582143988636419931","98224027583891676016542263124230862323","129699227753709513328438487683271763822","104064710283469737427233959218775214013","12054345312027824122313852776241917187","188486784874514719699705376478921842391","73888133921107379609931624315574155913","86303036668012417373204711494007302769","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","89816854843343946609486959964574894885","12617000021069392138992896743721614498","129417186148828827455579905693385298398","56659423693204109608712600243106566641","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","339648460098188559485993203354542995570","134618726401224731303242292398811668813","218821543055587378515018900064174847356","250574232064904224568859630449912021524","155302972631626342801043595956057836434","196053058872170175156175054388320562109","16184905654939034386801735896664986902","34576365586932777008005436139869009133","302666689651054361227652832561124763350","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","53537415543689434994174608876862277943","313403976152481389159776266837618498860","327582051982187243913695025009458332849","79857607404773993765931321198946218153","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","113069644815240460903371968499423495193","226048714901571882497026870056041147056","231292775351070803679748183197085110218","282864677673828529385923300914660151826","171189752702938579843823180633908970087","3526736390485691479748808601495053750","6113816104683397063932378873722767393","266862916298564677881877728467667355826","150102692613450017809481390498905822409","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","157421220823305197365224372515552512225","176313144446911283685515182691731805696","6068965702011218552543986502093983086","97404644655114774195336926307732504396","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","255740156453572649018375788606289390724","171254186637396624447807061060578795832","58648218333777423381688915819609335455","154450352917477060503268162773564379482","292641772563388994070025043096879583152","181008997716252321071480524990215841749","102888443699593376241053115384989989975","302947505182515650829452584294663424971","39665445355348078953523579965563970120","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","29968417036303715868361226931892942526","7143192088141194701797472349429775114","211340119279693194783214085541888997093","50038915209369145164270714665689871892","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","212427000417192288729535081474352270920","45934776072765242228456141133699422097","297315671987586288589836776738592831953","200992511348773162287979021603817936583","30530231516629553962187203004894663587","316518022048568012192808801102366064341","183041780324093384329457553910784625873","138239605284142476230588853474161257834","201476977959904474511666349354297779088","215264883211851970892694824301955028598","92596153033944238322036265179674128499","217011612395439531429594603712737017288","148724702740693091664873740093549205760","282416670696043459496218033436531885174","37324435309705813344946993597168813921","215877343048344318638850610481549052112","315248371139369641103741632870814199435","260949279836966247773104464462245745830","245584841251894531204362268193525380392","69439136058835479977696775794829054948","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","269055229509779588998475941943421366716","98897118988010563055189463751175921808","251510751531210455585907600978241624677","297502984041204306240098635995275250004","142467498070496910274019386863797778317","38546989588599894734659155783958405129","91903408605939594084315908075933302367","229425585199722836459907421656395994675","339786989987025793311133378738715607461","206451283867730195812365745828878351799","118219334231697952900498487194370626339","38680276068125565418626161335997080679","226167895401430999058181416970690353970","243742512174272745165289403722204277757","257302863112989755574801635278627302946","209888017021658796707209919793698837105","130708673801511417112696649311027442747","142289641325338817047040563235282608195","171242460612403115553327579770417710645","159364521942559938125803458073491724783","191722023672368625818140298692433412102","39740211990720856377926989402232067154","118730610739397206135437757218803839594","163362613485856357842462481653030607092","173115061531223113385579648981382111566","196637287843598895196100637658940526316","129066514832664513502462148777841873337","216372746522925432041420175595474080181","284919098122765080443197788953732503449","38817564467239268269734797195862871875","142247727848425580662329140976392378841","325605012165932656085629102084199873609","12435216791747223283472718491502711317","122713065096825569531458070122976605321","170899283859720357382967437622192686631","169055284091241489968373866487470783310","60820934830077035340330748262967590518","22451796988713228653045646779548936645","26864402476145859871461342748086831758","336874690366787352808798404947499161472","289351758530679359737496843028844905652","8363595361075312498495568259482597009","130962922484858081659465946671168792976","128047712576576624257445129082455821119","158641185380953471649561700731173219512","138782108279313131304180668965106323585","307178089973624248015512864909810561400","280054225796620627168042251352722262306","203673413427678726972438909450903806177","188457160087244143091767330334725061830","158820152236437589022016825581943295568","158926150800492989477929673045364903271","149357509857539875848424288542067894619","260841950262430345183973087879640407689","176992826107282818162058613487436355203","20954578951192154657091994857416827327","335877693845758040234342032470554764025","200936314270154114263597753224308414160","117910968104590621988806260366587180420","303617616754072911298597555932903285035","60773920416637798765805428550603721732","101593492857489054819040273368217083166","184599074748912178068525972758114914670","83824971864869919748074929271043327884","161968343853202310821449869372902142250","226013469683786894158997452456789702829","65737549894111945389469335488159837924","10305483930205295358965041776588939741","127688001560294372186183575078990481688","173520032201089348665222809795658410287","233179374453106345628324050371921807304","10381857543455334137221458784731036370","29114088637652430710989012865339152289","97581104987267428847031150774533499731","307153598849298151031834613639541854747","263759965366692493647285978011279365730","202634643850440366567528559365830996328","144943540078419644542665566134462425653","124266356861658768241520104224191177647","181295450330016760122823660602740519274","233784143723528722645673465260540774993","233177281850257364131402569645724426591","172503447856696445415532948529545430744","192828099854281295277342837181220819935","90902026294627136755102713900059320647","101773981393482198821364069604028101475","121279516075023216951532260458288855479","31519410721847780596071824542710836646","110628932874054853193985194668597208722","123062823021764983498099469365068297613","105791505413748614138428407596056059453","150612065783536951552731395281847443742","282668696369565092262387605394448285695","284508073821986811540992155033104200019","103170139940422689611340957951782481679","35613566522824676682258447371787847492","182651515413270206069907019139260274394","269495912844183276479639192266758448331","306666062115043836532020626897504542954","280014833819469896673315963380377369944","59803292460240851162506188708143559914","80280432640097102474836138626499260654","220626114699809353387355697486251906468","63671960210793450672079381153280473532","176907577757375418666539422744929393384","306585456631083061752783571854474797108","190291256166944430023880731125370012019","242552277441435658508675123485285502706","42157982639974342013499670077639274327","199389544353716109417681137795909135800","330210262883289770991207693598197234948","19634977809240252013431731224948133855","91849223925064948051344527530267490380","54250102539547381760292604248195243161","326679093485013843181030907400138041816","34336074614960372857883058035813129357","150710067113194834956345810257718476338","221248649812264662243705708837283545086","279057496179074290786267421689094468296","338906013680547755973372278847339904420","142515153824259712938909855845330365188","23113347919629302810733460443850829100","295437165153813585786836542854352745145","164964145046052175893179348138848654579","240828069884142576074849939513524428906","174036219931075764922966471371534974424","301989706737025091104013511955851706364","327076833432631200762056443177787252010","195668013905729835178694119987729384178","114325415751837159185710668323743734390","180831876012015504205134663325822311850","149679430924925029562675878291988027413","38556498246402467533042691291803580786","187868021261994113309022350674766055190","79521200933611479306838863908041682604","108718737812096904729527813901639937616","41133607912702538879863656441875441234","127313900477930106748543716978342383067","22656381347039783962421644771236983131","131261141829291492732484973357228683564","44259348980659004239896723636357111928","37762264259950168494550206457127034400","199512547136673866711567404761898028655","114234432999383008264736731482625237392","179736474797990805074482867214230569447","97703807804250907261321246929986448933","179552862789462251055770562533915741164","239325824532946791416601316931052801755","271088234071316087132105404105745294862","129238928464180837883817420626991899431","168469615860570412089051889865574671600","16448025414901557551292991959288414972","318849192656251499618399428361714107250","39634707644161459065455652338440741762","47878756800591007276580470683119088477","338738476870241334351363964405724207631","231882346250395084665626595837111104605","69130910280627911346641599344058834884","261585191227385849138186012044704498688","133146287960470881509737316829919459842","74169405235148642546838564078392164976","289149509626963488778800572040046998429","64183467054746837627471782307339491678","297923582010234696656685125710668709254","248847871602875867263353813484591042028","179360691539239706476082298686918354615","7181244033808050236346172355269485259","15280658149780478791598801370067365913","18418408991821977238434283077196610375","199616241805301590693198586447704505061","319039200036003383617410387015155407921","134165935126941037521403849611236835653","195118345888161196598896627489395208547","225020036152789222300866908747099753208","333331667124716265684546927646160336847","63139904621809053394683398288234723418","116960850381831393193364156192248844419","289655799290979402080739282923806122874","123186536549398384068186509196839193808","191185772100158111010926265827083253155","260889355649006499553930818826660176833","8681950532158187075494004567123440286","282793406702986653235539157891808537983","178727960930997690256624129635558583949","94370626756846855047848790778774377304","42342610418505117651338979650871244448","25085124480222953370380996343693803768","334041223335651812434448125758596550780","86713002669929026921267091782663221437","14405083407935107383035335475879585442","1289689690589035402772398795103772365","277741025920408289561739841349423776837","105133747453521432612500637619369445547","93182614134022259755656947309884488914","159093739249035263264156217308546479696","314885692283547582928951959658745781111","198205900361200740392865666404421514398","249796706429492659966890617409484595913","218927447395333295344622213808481230383","146213777503801108285668905721287502532","211364136194275711601717638287798945733","245327106000998370549475045108436696185","193688268445475612482258908287567635417","33242173117359296486902904122580085234","102651022568738952270550121763669120054","329660003325462144252294925986896190344","133485416706305061985613604672638719597","218172264459218967522475253682619760857","178902219861162910276000300731965068996","292865027950389259319039011208882508818","292139971628794805656222887918941846845","180186536936419285399745896051806435129","21483981821496045191562504382483250227","151593079870871818973519376875785994936","13541476976741747529381070454390129240","189490329514873521138452632289604218448","302861456951421499960727629997199535773","133153794569766754375909540399115819149","214924090649564362000425059024735707546","272831513520682421297431169363145294465","68318779623902242692201049928476374115","258369150649072675840456542875866848895","285430344662571194578703124191023456800","75430437157492112831499068359492604835","339382134159384168289915839228799489022","290709914336702215437480142396766121050","214865218289690939018840179608435683257","306535915776380993466631280710955031976","66168837518842256228673920682813604151","281307803025427432773428621434067179846","177753991843794635722421794971544035979","266368891590073077804058322271152560931","2422524034598999874831063090275805469","166689186985918256479605776943449340659","40687697348694187452902426767020494193","67156348041948648896987314895558596129","157847566521793626130676650660663793223","310089564798373566483177745326812668927","171728964169588098688115045529136373768","284134776543726721168353799123275943297","252241904986386332653512988834337261337","218478109729213908670782242068382050653","234109768011004626126649764805283006351","315381410528311747580428980534576640980","330880978025950748752527240752003303912","67187766291460448291576885755746787781","181207002513440903909937602972510245600","96671058574166147881466257831504038593","219724097306259309498057637320258738558","11114785515147551425919167916343121767","46535342923579199792741914782412854787","263818963572006403798430250448472022473","202701590828677364098159205162301782484","21879985133873716651197798853041248359","317128959446791713049335645757059397819","26570527094481179355405328704066266038","248376680090678127358780469173280898583","79183791885841371821853673899614957072","264633069124186257069139062746735303755","6878850529612438556461730005606629176","219815943147903204284804491615563665164","145736117241482503481387723330620334974","143633367797657056168630580261876467942","243031004739791536148582706419070096133","65514566490506551649606571832805713936","337917625426154238585062729184369389392","237406785697956438076044184570073835485","329669438112912832944685563574929300376","230380497177280034156830024979668196346","123056837210044979913870225844423728404","207275537980704708807084516253054857530","36146735181482581664456350467520224493","84083851966641750672518904838132358438","159641862445305766652058174844149129935","180347668358380951021319584155075549833","229993367888685239389059337758108662291","256115737519896209875130666224480849712","202567699728333791372008455806754477164","211075752885736105762099668552449770027","205871318667320367396314965912282770137","145374078537551947716469399453718466948","230034926959579390931860203875564064060","25897037058742153144273323162196326351","194512315394430491375104305670786630868","122749522597585933513617410544798095299","17107058390620525081608887010105163098","110392105019521463646007420773642831103","28038943490970775783099874776024733049","270373424505672737935310881074481161020","8526768828513170521758197120948113189","161086669003042701413706599712091379410","242275328605371174462854873910459132326","177529243947518140784303665096689593565","184752287233667183163919601785129918902","35336004384482967544530504773127083415","300828143844561583914851306830970557432","314353127934553068716839832182919548093","97131540465811256567783602071126966758","262582896795948350218770898174999440236","253454872917887100143069369469365989073","320315500570171173771848915903616328738","9630861268738410562455241338474388100","156066783912906972913229819521106346669","83867035922017417593426416436326266640","199098860958047630606554487133559516957","153835422545101883642362697414122322314","46032469227239494413015933960213189241","188361266860335026114979219665195126660","324196298461796312070089415997148784109","306497409380487048408469861569483884203","229789698539147573613552931759715054161","122221277594167719518317033376906942860","107642889439628941884825955144984981280","247289765209481567090233653706011831584","182721774372050036635317957506734563621","171563616709316472064819867238876469161","263407130392359770115455416589674497569","97944245425001990883899300224732334343","199971883926516442563973727876883054695","187771023475289469854818189366485252942","138882882319158413725982903266143529783","135848127772463972580717556226286325586","302586984112647758418040254733135543032","42009144263806646820179572055488329945","149074976144831472099381925813799678551","98934421723689920655708974934675522737","280166631909886240463573895692403617623","47651506697581731317116955026645031686","9685167828526482709300900724689526733","27828711813382299193088606762120998606","72027083297015849370644958133966763062","90599184062054162490453864825102950382","69763742899411985258478046993576780829","4572635169427118593261016089288945768","300322417541991868769307727171425474249","109499494307741256278775579300739745557","104298182595148705904922540004929365063","183037120446558355673388045768589451166","125396116498919926341904495893508518592","186387372370028029281626803566702074346","90242822574926453517498551918563930318","194136207202269153792902803121194547557","198028960725394277635956594358829454967","328840238904841215502002261765720099290","134822953622720062463595048867294136668","334053096909413406098342062117633695413","245048841471067312094550084641953756232","31454911100112885112819250989434461744","92222522780711317043894154456708224296","266434206464940985332364304147830919108","55877374143357025740913416070674369013","226320045612080497469242201347584003444","209449192092845933310449235027916773642","164843921717239050719592345773887680535","303947393928021854236338646591077021041","91150062501842242321451040162078533835","209824392967857023436007779035140310393","282441752823281943356170263261158980472","29712190573241497971380069295891632629","82631130347501504446980647735163907374","59217304843472104493018910719781656740","200927552994596689664409357054425981865","12194861552804146435075161844682935995","66138187865527868257554756848738151185","285456928346903310055649938691678262653","298389152590691592376910300811787796708","216964223157020734544651155249157189660","148465992185964722252465110862894212678","79120767093535274985227724985327560701","143654599436041599047946177249766351831","40123815146341629560141081676570981798","55723595577547478822110917293414256101","34118374996664505644393998630432853366","271500083887471792280281987778426397343","14259388700121639694301574033838647450","315230790371848472260743272621929577739","98267392562706352062060104372568486755","167011419356405558245262931887828298785","47815995096179743762047727144756389536","78084794570730892851246172744574088420","314431229487482429066464786685086366093","109197247063356922044872341633807371591","136809887778687674931983465140408014390","323074135484586096556128607929155246864","121444693805347831670035490121259111789","195666898416982347399463149060618082553","292672733651775255693873115539404415832","232986902992557036492230631252983104425","83590114055863864688079410053073055714","183399762908442376559109976180643381257","26589991313541017114777232405016801271","247640610196918549317473210826538030982","88278780991760732835207744676546145000","310016641569663703635215552278258973317","183110441297367283317421074068673945398","275944321102804571476948547059315230665","158603789307680519479938866561441008130","251702294038589307835897735207113866610","208520169547197871094225115779378805342","136345728158592512771287078170936095874","8831625696572300713096769863362141482","258778828876585485427936382582729552693","126808788804175146550076619670990342751","69858649510137736760524894899647982128","270072872731011840370618827929078529667","160229012075595168336955184190391053630","38908645749676320297409921923317904169","128863808726435883452255818864298369866","209053414228054563727736907089847417205","337398907569463664653024003084688549989","320888998276142868014186737109621722321","49113457340171642012027563432010680242","251793636281655805350926614419326915899","286281510543233755199354642831430275127","104427891366592629071721099178534659189","293953661044599364055700133267379123328","221008342619568440271973314596835268740","230845336226377378929091752900777040039","287821524005253230761405825095673600379","119972591557506719149665931347333607050","323503334481893305263182579376302978446","145431702239454285727323836015473865314","154290924128679539680997653776649856287","43472197095047141826537214264088949386","315650353581319784374782149685539136945","128507587862683987510734224613844493738","22402851550516692347542183244279570524","159107808873359386955102299530796462528","67869077867332332176883742836543755373","100066966170304195845759078101231379864","338204091871289727031533494984072905993","17253604258901389654729088670831794860","198938040579843600177059952178773803724","296699060279272609771426660525859434948","112690972378398254344040546299303819455","137006661673877092118442927942754860558","271646463415601325452774373146845113738","324579376713383808434660136685474680410","118114099016261994391986022799051085886","303105436952872800365767851615230974461","220084771291805616670247682487424772126","242375211139280782156642921142971276174","46489474939397686676655547020580151098","331350241278989086415564906535281942435","254030648327526064725750577909160511151","1221669029505084350829399254647550015","332676197257052874371075951181253097450","165909434221086973467164035930189142924","91141077082534225132371688655002354649","47371432494289151963226711569315087668","312476994974955365119276889084240869919","36901275244212982778054509127879272870","4339848260079152510487509367845638790","55122172651314265588189557516912833382","259499531615568046730739076982229017296","113884773070644611929172350723406576106","95970409841733347340759650488502673413","301820690301878626382491012907332586531","101670783707845539406333370077931612814","163226501581334520620372589493480366901","170775060903772057409509956730209758631","299814924812440786914362007355522337864","269436738636598991992310592801955111899","143911794760533428844782364989093997116","239846256617821149474933977630431095187","332715786247101568765260190431716502561","181258552992827778231547787736943366349","328745498776487820520220267250485012724","78978902019228631416489565751392277950","104843510081068264095271995837157211916","115146897233548718237764528716216569202","162191291863036290465656575433878888295","114494753829876683400398804424109026822","95697442771828700389099535793703411648","229996919225561919255561862205581978140","187619737841459852128323093128192958366","329922530445771836353504332177333380264","234332056687720668356819745620557529801","294216633004082981644383867738376679685","74225473889226794932344310145150227940","31453459591766661440461151023367236747","337760658193049276783915237256228158841","157877534057567464689663830463690145154","258248432701850853819331264728588518567","109349603760341802186189223634329536187","276778782751824515694438032082730013968","146551843434675267877118036578797622194","313299273612852147653868176256704940331","206309970249154095382939666199784416182","7886212501405902766848577761907541317","142371341583293434275207913880599057367","332133377539483024430384163533402109430","236927187197185644807673060621590516885","136966330946687396925506434980179261474","60721659551087615949726648115721627814","90482516797028462772587123141487175255","24598834683157834149067037297384981196","22347506717552527077401353718963190419","231386600749890406912248583576160222561","111379070828418876532542261186089809794","128073562280853540883589315148736577992","76467590801737777084594247496664930940","224968545356292372124006577281977848369","286796861529768948420059529580854555148","276035292776627096976631831243857712691","297666758424583164407527675625919034365","331341848711805068621960053881374507677","198373066023136833124115965303799712109","44515625553648533101925618262710168137","245843076176622074121774503162001453243","190175259083149320418936977709197439960","153602376606317933450490912166063638325","66001685806931705352714280291684436046","89624922451180952649625784152597246479","323125815776028775702578123370138521776","305381340026204029243875374255612776708","190645240836586875422332094902385398128","312137372769128986222806541020025436397","84941884282541944499494354599156456326","47949666856395960725376683625217943875","79562517181541816860854772327192575121","236534983413348295806923527603060708618","132921826349325001585100585572702263466","301165175476269494442950710747947429586","42470219137237422708441449038445294354","127842705208056435320918290108979153473","285297359778954133053474892643636953715","330662020426622664641292753119948960998","40075531039523503768021179875714227041","287793196822822003976190284307532549301","231963631897550705571480291275810111671","147084005441472128224688645476547642863","123100921659402192512851204635574992753","135257313194553139973475740657767511771","41498153633242491656524860735370211598","158343791380826811173054634165706733036","93226169837133709810880367750419803463","58028207608813858745237271149224270293","58203290524302960398868762429928368463","318565040687378042599253107904514146892","25259291129527997636554679450890154427","252653196270514916201405347458832992993","8635211895417275693587118317165294641","268647936552220264558713376188285885284","41805815689610412610079099458943971709","253759302496241183031877816283598242918","158708669900455026437827948738260289994","172609605276365685521375726239215010682","308341320950409578651086803594167885170","306329487543531923530230116404076882434","320055309714747230832245487591975415361","126760761482905212109404138470324997290","247035741382449106539085702781855144489","111417635364072959116368715170749820906","61897730169521944672218067201695278451","207268114757290628054983958730407648861","179601600711912146722487043061204231186","299477306617846911353160957567782805113","81779243402949690326234285674452331040","43889019922766036196497414890479217943","32342091030690119689984300956304223965","131576578075187660440385587091134493401","116759257119870488853694626263898881466","22349900532761672577775983447359306920","298598037440632438708864305175209352216","104749637885799389477515339774267963501","307184082197388618090214879870880425865","123025713316757225624271530036680794452","243944058066276038282180115981045411173","69980070527812855814407236599147824529","272801521204242810000000678755929536205","161531265460512579794456908275756291775","200215745441275022963081655223242952977","123695969813787825663592972807854545745","228113128151090912074927438966678608648","242691823852566068954985880324028468284","44789067749630314457078425427306532364","336612971999223060366062080881608878409","305066049593114387994504880199502805444","50683338062419650150184679541912705030","44747367663298327406353759379080292340","134070809321194237625997459735401688995","173328838144816479990045771078533599894","198761695771712210378507868457409235769","92161900140044614913236284063113548335","148061414737987563959311895284870553310","160805927426858383674763900851664300360","310050630582802949102614770939108584222","295498019559427238001683922012230399098","189180272249229221728227045805547990829","211574972658423650844514064718847526070","210629254516393743237172573508151393440","105572905335864860127828820530592288858","116641524060195085647615502048713751643","207726324189797062379623556847208604221","173696550479503333373617832076259682608","222561929857694404093966324012961050465","230705309678269128090985699170505980913","7233497090802180424418308618173334865","264678423463210549266487091156251331292","158162033356366549902682914813732504127","51622781002143496963940175707208030999","34367111707858997979235129103942244850","155995223804349726914634030972489639183","162754810501761452518763602596092277757","319599594150951505616551693024349229731","205368032421393198461616488156626804338","296522553209913556261620910510479192125","255487383439258540922217823227625018150","263553744013853183087299546877904077462","58893682132783060436473312832633463394","190956272302099330044758550445839325819","215980268884750890806040129539820941923","167277159808286853866164025342815871268","88482429358236586376828368433253946330","109968229727997239779750967934181492454","323175395664021766854822185447115280011","26745255505311389845774790428378445420","334243514097583831330784245874825328577","223006426134038842094950345381518682637","313969752232440450402028579928601887284","135550365094898602699594168769904513606","206606091547400997622218601939355248149","275973950456816707331370130643656282168","177187729391718284087191643810189462039","294067292147652714047641008178265409414","195395118103280152366189579669632852052","37703359755181303030875489233650634803","300285776800211493377289562628151789585","162231595464748924183626140920642166165","170449370473479052489672333395146822106","200492225310718078746939637791698497388","12129115789196042479640881888502952173","288919410843112656026022361753731171273","38348050480253106908168389234072373143","278468590754005247954450663056164432913","295479078604986138192707004646300776349","23182636495249022858997632957769698291","66083956386285683206818580634793622367","134914325854146275856872443915253065989","276458154176510203807437272025711519618","327654784545503074573588466364596219112","164135927738034467616051500946480631140","297821656824175171220089207022528155226","84623341739866022055404456103767120491","120803366513911544080613133037883794865","75918645741600979655560918939537747893","52159534509366862876957595432697751672","24862408848245178013925314813098421253","239180972896526831161973213174813915913","116588239029343766088956674039049961607","225550366943794665149820966488486232122","168609107614577389917059970059726939585","93364963387674820387425192423150938504","159008585058980723573629525608207914016","74848212460534197383583470624831357433","165671480970571007434898998114176053502","67209796285968186784426455139131292683","48103753047493855113980248713312636257","5843902276210189625242973089108371889","194444630943231822109922717275529095484","121668891200888850323500846063935454470","337935289841813036991756655855215541687","69830884491630757334972173372983612704","146549802805551499486045313770653775180","97375795525753896218623690938177849554","143004364578149418621508997202571634965","306371783848432330280513476935951994053","226984524265730893732381956017089823007","318447384596342782799506902712938414113","291141386976615397502632272398374675867","100462692501312247360898610729435387511","237348490847841147311021753322108520164","192802722197977335027897799868931425067","299912606744337384244551148550145149068","249917938450333755211052095760104233423","114714833004555312767028398949569674156","221965727035763020131739150164600925613","292959336958263894227915659259447797378","142472712959975107944293085180759989729","194984856482333772625859874697846272040","143333188797700150299327603476716175770","35596136300642954155404127506905841278","49145988950877936485315702664615699998","63586322091639937395341554108763461726","209563518800777079160562488656612128424","183882965584717516067115312076748810181","32829057326030578800538567549168198471","111053899899554959856720065611958463076","152261129587412603978371867674339611338","26329425252258664276430853335756267008","171488407484091085787307519487787698288","116366196562153949807631899652836046852","194970945884781348218238182289341038035","8030999864995172277622928058498314035","55659626636767156505638077099339815527","53265261971986454009424298311572635320","199380504953941358044164318348887200705","216662206468307687122709016705264462413","34068727220233287188885704555530403126","140279752136078312393737248376209833107","175406316802631515223645249305580195793","32384201971051670869268506583972055517","150780057480356953075981275045909006865","57174780076887214783711627645780018357","174001961815879334810773319559232447265","37974790944241584782864507295185575956","13177949725758510887514876921188610494","106952544231862330859507432172981966331","161941110556710332610102251483806132414","78177065563062252495507767438197844336","17251215470038985539302645402063052955","234927779470987138127471147791056777497","284847566939844056647303623524027569680","114944337567900897817198925024178508147","39886080324153569145540663636726421202","214274042530664156238827972595576635166","135084554021285345391601376111178733484","193880737104037073184640285360473077486","29018146554735974469070225601510335353","256612969371633255335036344424763817004","257726894743823607526785531949086298336","115941297438078986498889400422381232518","128158331889192980149525398724115510186","84486770492349328007842710666628316349","136734802824871337505195095260242043224","286026995257220364601889478070721243967","143445836169385307608805782012863352310","91798014961660178585558410656848757843","41193805101413216648169075351710715105","27709594032148364891401222760453618631","261339184317216893038112663241389932176","26208388274287148356582146889912492607","53625908647859490166105172101309216797","215594478895208544158878153285615162434","138680538126580489839974445652613066269","185888015616342015640211970040407407845","57612103333170087109121532450400038760","143502298404510188106558828888830508043","282328121561929448452814792934760895611","334360795743469074619065524048242291190","299329533435201903840931224459189702512","12694301126328545202795265152793613457","125736871211629244472594733194664403508","300202515677219450096279323979307971256","136750358167059982322722405014025425450","268101853784123967290590586501876567347","175404840431239019517850281724047154739","257751567887349716595865164051986856455","237130056054254782748858627469498761431","208936323372621134920673449082259611831","32166093162091802914898784082922857587","201154419905812152797985946345773010140","167507386588643840443976911205991330448","198076874737036457935259654468418391824","164636509577316050370954006002937133350","139802228240314274014734385039337183702","300206594048164519099114540114578706677","153490415666512610182509943948776956736","167238513568934488570913457149771540894","67332400712244222973646480988652345492","103571365734058808218706520044062498976","145745955413945098575460891377632759220","129893168332733370390775591647280954589","115899130054230274753274397348269677031","68922155363802500072570737202696213872","272816908220458807567089877483684704970","299000787622877996904027653403784583025","281915425756999852235082554929161210007","72644509023151196285389967153388052984","64200015048024506309047382316029231014","131644882929732845333488422524076581037","134098905133884305395571925683953823878","233118839535457328316066432667494071550","1694948503459942582275203650402754687","7852688480417482031252112625921158745","280007762717369534785564255782230820056","110292632883654965819583075661397599378","316611264350470138235490736692842728148","321203904455077513916074563943307709498","307933137067507079037569146302506360450","319610481007030711254120104866772885405","68487742373388623164899547351153300514","236968976833422407973228345557411795379","292791598399465144354132848594734888864","143287485101246405850177393782826630293","15771136837373649738473599254318339559","95165221213694956218644039268905012929","570518242659672594178955027807402656","316662894839211869114889780876572685596","138872335773841467540363465727963679595","308957068612881919402903599902462377665","43656758825037475121500387661639904361","288713986053732806304396954307834333589","206113966231696530571075319847675771139","38078025147996083187202775896475044572","137291921924124129370065842258653417642","41472820354201746451578470801610329255","270305258512469008300066127368577367528","301485017502478886352138699951214008825","109910239643901891148845146644361904820","268610447082791708400542938326847539276","223493805862304890278092403329536799170","111988953724004132149074676342559424524","190603020747121194632111371637021567804","131868224189610540459841015115381431832","307142693216313507065670606782317161035","327431331956195390746710156055216463837","274337962117284253202334676201318628747","28490618576330746050344540598550522396","248782174427420084566916655610243133592","159444845349062762270788915077206023737","70426937309233046814798040340412986859","36796432825798446994544187184648249616","77533293287881119162983780760936419699","18441580156430755209957389891264083366","183288701879693635702755531381363220153","263924195042250916077470182551740120505","306745242421078359041219041588969962178","193417985480149623833955387556565190516","83755703097448625504273689758812903761","47178389118013275526114647465476160432","18541702498831772178893770639984152662","82879259752392686639498938055944326994","205117380130632575033631170446033968508","112836246039821802801232036392189049629","129076692580151021048163265768362077543","207553517823444141694617016072892957914","313561277568023154504152645163016238259","68000881111048953511205172538301836083","155138542208563028246756747864512931627","219892906969725325602679135945417672643","240861497600528218871360754272926955399","30213735968941401022654416112545203319","147763426980607410894290490178979681711","245300519487239242819696521413111835353","206215897372096199701786175295663817813","231437986851597619452842066228088031227","47700817511273391021064806076582237454","89911010092887354418212417792166712369","157324867483460886647678439158235622133","200124942003771098619666013568245858661","120849086360636423991073278939294502518","165420921539262031955334655723760220612","213565847262775052090088206807917029530","123633235680606975775451452127681327195","182024228163880068923688060959736019457","186748920233578939094272227229649643653","202785987598822557985622025614108765822","197282600589262098615478400538799873528","50762264123234727099087863875354066293","16953167358607625065121892523355674588","324017845554000763364848791776542251842","313725868989492437549197004248266369988","136890051637211499800222012863670185213","205304980841289896823261803563431675971","267616764131950775642314142274411186290","204758412166497550549142349367262885426","104443690863654933636397295600264067188","232242977137128488992630906632459050845","6167922439711048908823090103994557280","185161823616596612495432213927886600243","72914386254431849371486278386821693100","215982536983059707911586896927887989733","145658079935634200318662177297968906002","251485207054395232122699329005031838685","284624607292062920580766918055017078990","205160887599347221178371975310883319146","320198152929837422005384698979212688624","147151257732819673341501965445730724267","67866486074956305339487234608126522295","77641131838565953655823506578935099676","16664887146289177435148069471766991416","302616267921562391157449441028432881958","120427335139868485412696447703214304507","233803088385960553280279897408265504648","171763574067570174702891047900398319192","89585676168125062457512935076026434869","81470978285206167803541491373346682172","40752764263862398298185061841753116516","249871557471007084864758427732372900469","80475913750690855304617075516978519624","102144057378842862246189891665862822074","238722543840905014931758859108336460136","96137418721671144001453678922145194060","600341314508253280012309596902123561","274748668077714404896660294607958037232","160824037789174383776072954013893591953","185191451355106553922558706598024327981","274437159985929231455905662359932936784","221431431608323515410445423480594703570","148339026350198762318288458268440730303","208117952244690824512582459612110134319","224294259541567247586086206257056107262","251766500795150912227511871008823535433","307800921129321064335033792438758744516","203503669210784686708122187357907848976","263083827953086448937775963421836508193","71975232184229735608726840648032605940","50622293389309755592507147072342536867","147797867308343722188819808067384090465","301726344984764052442540794502951947700","171858039341334002659040945536840014339","333544226086966879485269030306160910089","268286915028346751829845428436196390308","235640821236018271394548221467069950141","96802770408925973079283775961090885210","131926471654447787995042543346600722276","236444898629872600591656246374956259105","295686365748203194517062283524974634651","125399726655988378104303164924547645005","25741467528782944602725253135750885668","296588423721067261579861605965052276220","160128551033247681991739630546937487609","107421079814400657452521863078983468611","4942685624416423735176788742883453132","97660400918679740362637051194649716851","59495693075261466522665993941725665520","31129751303711802494523988863492655536","23591222258128882622111021294073418552","251530129268805248915096803216602592548","56606755792599830152918373343747969904","194167572494562414143448650767418390662","243775042378040894509714436517961802935","34307318316835203739411366395152003531","182991710163432368171771997114232828855","44600423731495142459996930787636453260","212685002576164419995236950915146945457","48382225268059020578793567080240584024","60053002806677305519223812270128431369","248081880840408175360352636081922024022","286172931002416342454332314507150072413","122324552603676306282247794428522580961","208329608732876688338911197631181010940","265882012615737643116881198192313195010","247314270941153081100898764442900737449","319391037405309062215972731775313903381","215515500613887474658004537532705630036","131368005629176510935910494962220758737","23431724456599359285652997151374781429","100574298435365681269888547623517745657","72622493470490703330687814929616970724","196271700836756539405343372846117559703","73739920407794958811296703360912615858","285285724633573209793589489619608046038","97453479640431882780021132780898498564","269856795454918614793685976168050894134","230587876593893271286005268328814939507","19784350439224512032844090911359005282","244908319832164855258894216785279768058","23150475327448175997756157851800148876","238414270188830049583240656424237001190","174514758316004186127009381060489036244","123975970905235709594596389690445395183","140203638304253191645593810351638459840","368993578922996714216253050570257444","138647146373321109628699624381547719681","291963186898237488405607967454825826909","206458422803814803264957838150532185189","178144556374672984412225798565525544275","32990222767571458581808990664988093245","198073104090714176335539966871846839438","17099936002717587129965694129464107854","85502813753525993802375570813579162619","83700668380659051212983707504820424528","44164101915071357386319286879745758869","165615620709239389059426876941368705644","178217762881636967744349381203376834126","168807205051202896136183461620620218731","310865916396283803714014257695040911465","287934689776741550391897880104180725262","332654313230502461020270712316029552028","171764659043732662681188684589955482488","16029968374401096064472480728758309240","330132316053283894988958337395698924447","132178208254654275161446379478493208294","43595716746605644811371440081302958825","200416690735734169711034282688944752641","140629012112472808079453664447803477440","333892141161137434671294318013102275046","181084876384831738972878667493713020703","157726899992985377151845180708269472366","57891509207162900347667193586805958041","269247675755203382372617248319791252761","10429414127465200119385561821160984010","162890846897657655972401586728499822327","107251649900615577707595317303827792671","63434744735971629065793584999942740687","16556341956572165607993442254125740805","275621413201091896801677204481805992487","137590726823392029471208112753049220874","21064549407289198070784057978651115501","314803779013255397414543906464728843140","187931512845353969920259212629558409747","168746081564438756665561187076774466433","134483397566351348304611168203503069570","277628728808253736817191971399458640078","5365901562522377276616089468583781015","36784157067375141086993375058748813062","51694640584896050635605137103108257411","58883424079122151227880221616487468708","288720266722725455209594624573236767649","251434805425611567803543642970991260393","241548631031397299340953452625280398400","58968582200737030661285268280987808394","98014453464257302730583995678546233215","94165929498357640075375763887435442265","153566107533699974811999402054543619081","184622774457242465973458336612314513379","92334648513234447170078746156249596447","334172641843446619735774452071737940807","8807215603757456683576268134852847602","242285620691897418989205427264316863413","262000439428482803977064530529762144734","93873175168908308752408642958309893852","5275190426121474061956984267763743970","304607231857634171458615041826879611722","276156565436322346620141704916633014151","139920893384948316941994640748247575061","229588121341162466435251061751067266351","290891957145893107563760893940408076675","278512383377024707562178492829717782308","212352301620019830761160525028672611205","271500441904440491850249777484455921729","223724504294386046250898924374836475900","31017429437057553215253095257120658652","113260936816760231162546062981842068732","160403958609749920804158591744175574047","67924835782907686146630264783890109668","307836692727012167457179324912076764177","227399423273107189224009892391054265100","263654576484344099851639670686142692683","285759712537217130291781971123400320519","78643520428556092262972524510165250306","151702184271095659835322368735092371417","332335616412364002970147657670992639997","315651411434889334864871737410468648287","9243451413985001844762914071084845280","134698080938749540533088067402664992218","293122378521309351510915350507297666523","243014066525502582387495512629464564435","320777044131200737372288952397304787587","307652515806663017831019642038932971344","209895394468390699307386791824467828754","245053889438849027733547371651204215468","336014865947295869183834452825253321926","222703749434209562215522490683792944811","159014269223842522136645843102246656760","133610748935079826215383328619935882062","62382346251861437209651124238651134804","196582375975414993723690153846246780089","262126170881750754470281796491757850335","93624132238852387253589606079647366598","293560513223919596481603740342584092263","51529933513374971062296717835631574505","194443066341454099940027141666362158117","202840776725874466437891451538791672005","277905450826095350009623686301890272994","109963548987718287666413556782392963139","192645928134921602445101540262943239921","326381018904065403925624424695907282013","106737663271954473833409684428032701842","196940881300747905205064529881711688143","269852936429950223318820559590271573755","315575572442527646793505279189239935474","320930781586895677031298642620535990556","193511508884504550236306087181822970458","220095545021514109537208979511800604105","181011154924977959632480950458446684062","34801783455060444657025776921638602230","197100946437308035756345626526480621973","272354947385831021960639004865850989368","236830952299194554981623038757738159519","153711868290192617063539428056337222017","326504794452905906375826119387217719708","106602716157583590638761122253942999150","271004038857095687583412649768100334488","132710127939229797159595661156971944388","232483316439985918797412875634303562468","235516687413819765821687906967178502346","309512376100848244690973674841799005657","126100576231776239071658425995924496867","338063606245473387528801936887630248419","197731012599327021824428697352627839263","233129188690772048838156602334866739252","114384258324786432417719793281657579332","277856107591969898488099638096780388963","244712281470323163687559270756325743275","205200773745268529280186566242756325048","77117616604803248982379642179762597001","69923651897994173587508681309313503863","52930638702709084381908242778839631074","53341435958812123444485726761674567632","146126570927788022558742327675334300141","89398272493633533195038489899797192258","296999416256840625824875437633579514080","279626880994212767784627947129450158186","73806957820205337888826187195569741220","4425585399479551889723688723504535339","143040662183425164676258783919552130133","244269693422985279701849716841749278505","191914805371621619470495947566836697262","34114108117468641852638901837063285952","193606966014257638888001406752327320974","6467190362258063614539847931014309718","73642174490444122052683825311967509034","280238407017956438579539549691015747916","122021597060128051256900835162903310041","236388254847267433031707778917024079316","114065427551967944891838901952673178836","230619822537460971314648636535253445803","107630973710535476755528076175074337956","89253873009867102975769351279961838201","26396202725633331518889478006660954336","320083543240671951288413553694979180203","133842682428781679826626374976081739962","102787756294706372707479589430373967811","29944901459323704111041984887437880890","100352559250836579600227384678727488436","73879173222324283055510947716423557849","219348835195808802486849657962940956325","102594586544043015632369811515360742667","215897153108936064964633118294525705871","198702205607979167154756504508164182310","136124679335550676237411902929379790959","124717869268335130074197163879479123518","108990056847883311019559404702352479220","306550370364611377673705838003855160065","191361833132109548658936403598609661863","89602860838308117111007452261709538992","299716999607637703249157666177103714281","298612921920018182429371202561877178712","178804579738392022454128481076238375160","225340921470449289034120226127256979652","206411016868470476358626080682931741622","46589843088818192844559425734005442096","28394249852200493559202057930898468994","292100444002545755035035140047257405504","15754761215957564928326392946342871281","105769923248617734600442249782250796282","239585460964451947255934162200160084684","166791975729708022409948178120029246719","79929984430169225931779804282525277524","80733676172648399039408616009443334379","45526081741698080037651628184552723855","328559688364630889923771600649843783146","105577914211920737931786499784901415190","237700748242686707563421242236110576818","81364740392941758540768108464906434959","238660540141099107314259256923714284042","47227680217348722323810690031994252704","58294604819330624997207716101947119932","121443132756398194220687988113286763487","140584295509664640772983072077139399730","8596645130852901940519724584781790864","144586111673983700688959330663235233805","267761010291087939015406282308187711877","66261610906435096382845222809248035557","157898363384374958341606961200233438827","231826809768710271851249125304557995571","213454045801628489661106018728231406489","337795486561329000511397601265356610576","188746632717494502270495141462069229776","212059719138423870218555818147890631591","224700815099724042555122929818079994305","295690761150331705549571769178028583120","70264768364157566183195050719150659286","267169898545865719229425614785771247940","70593602838888977913735365984713761611","49261574763750594845098007333284328506","41429500910689604217391229647977241591","141073450880342007245099756580480294371","302649946759785635559260939804640028770","311376871918277119749533925834353185090","248847143909664347143449007924946161514","92145308432297401886963111025129289625","97683711642210644312575202329740921287","332653989584744833888986871958891425033","33031350166110141565869967216341602917","60198898552572991133970586389064778936","55598511115417843770659432774921076572","331282334323953812472720286180868332096","103397773098352170687613713473691040106","328958380884917625081483320876139846010","237312097742467050906932114009839054367","43592705409093885347057139731596024907","290126590414786872960936342244520108545","327374402262354595694168292424530122468","199744416301532972877794519882440744723","47103446710920744724361255876704083978","241654191897827371927371924870964744504","319818962019841105014420889977172716691","139297595085118826883408282123853058157","97737441271339675668459313711039832368","300561165658313182284478359876811818811","217487210319179826084526481587483069822","162191588743570696207696668769825993893","308189345557858942872427480623094194490","302074011224576756116108870837649415363","32474767546505757464053772825710970487","141898535568711128313113306156795456623","221308182137034831525944570665834991079","132589966821110049916691860048545567967","240740245267874050231993877962211962891","32895737042500697838130097293058472233","254889988403163762163657026017155003716","51672380316888471799285224694862480912","275649655226604496154698034617906282533","99284582219608720448103079687779040209","52460023539676381009428702100215668537","119359772487430187156517244667787117325","1779400641180087957339184028316529767","169021831384326691963776357700377831522","81001451562834894295881994971383130059","260568687359012669126630060037130488363","143433760355329739002667274020916918816","75968736886706575347589640247225514306","26017607307054932474372039955336597879","153562798744650728577780598538463966903","219705978700277964026061862146880218806","130595859920692708626267182303291929889","207550728556092052623694446080899365916","166301004806039047200883294095021079725","306226833151300108375885983326361378157","339006272704939992619601726023210083743","73496550879072016289412095922213732672","213838844203529966214440213545086859725","154802645960703980783732554297020462228","198099621384158229971211247794858937816","41072572574335151220156893890801857303","83098471262518955840458834810819882280","36632609221116349138688545853861932198","7126233412082731857813210183965460142","11940992545257507589376960823487761164","219380082197005756756721599866118329060","71592115693791829844368361837197729650","89634243480207166115680244238768842284","288279394158271124111887602850187642566","4510528044428711106156306038032930241","81374656327771393905588641906763861213","159530375394358174508393156594049289552","106895326539852202408089552563467123908","141910528422231227094112489545837870717","184937830878411889274477162836717377054","94624588635327716293030214630237764159","2642111634616007161225656532386661663","186235937576676018187471068334483098932","3785634210363546458696700639928546941","229649978682258438380354141304469374963","26127666884178632353507208557874566107","163853971467385510799037598294328687548","169897751572204283801552247866711945574","248287236466439763176180167475704880060","114262545196268855499393411130015213412","83107569658546039163919026591633447355","170300531633015189032474855736226958270","82475411099762804100548036251708292757","234218031745626635378372104054081236225","147431173075690960634424820094312302672","228114831001268461229970182264302630356","333160604809364906849879337662673145675","38076404520531790892873771681250563196","229278076927090304386057926415272702361","230989620700272535922393229207219598085","183995940670323964162727395524331840518","300627972215876969525818405692527048205","22488252718984671491543478051134936919","306610386641077941589488317713798437225","60653800835998372382027388932943437003","217763205175365962348848222380254423908","196589128323830909865964824862067292446","71829455770799690624868494338840726203","21701103757928032840580393444080105012","54036655022283370550671107523283362264","293620233227618993289944522984112180458","247924581161738132708611640651256528885","163671642652834466564730194588556175038","10443437920769460113221011638319102913","216212854655461559939477530261305558354","182108737907429757974196453936728512159","181533341283486736907241338009451683164","284022784471904972498198082521928913726","63561833802657958670994521951847673098","81955692256320297135373768422979971335","20851374735918664679793399818175777972","11624362419885551117478144430967314355","250569011946485902766293045709424649246","323547935815457991669162589042962937083","332238824680130805867881518904832428876","149891516764928123591806486245301583085","248131861091733603970668212396087108479","43160876643615777600969399118159576523","240514317047783174255392470473922446140","28625752983656144353692110282485943762","122524776483016015379809173810408956984","89794051748320630910400124399274691945","38547723243866993140173454078631300852","204198723034504850756230303717550164055","172428384353066384092513376292308510060","314421962350159982144609541115009153645","99910022569509872660477702367612086609","143951540887604276488444572686081354134","244599978914093923147333579131053345636","145949201910445292144156474704768603340","29757852180211418854694198117651415664","221356764475820298172754358287338614414","54550135282568021066594077995059148263","124554195162056050386694687147649818145","295967505421489353704395642064949474972","287681741096882031916620442044726795320","298784808708784679636038187914876925065","292203049224841233017518017452823986574","251205553411639151283211072314912509397","145035439563034999129752588057699514584","95806192636974723778859970661394603415","296821393107184310604524633273067531755","328712324880033505297676026971879882382","141610890484443823323696642673940719659","151178568214417129792232984150359946889","123182971440620390519972990743063812480","116863461888417316496655241366426783131","220340045117367715802655424948920961805","75334688799145184849099719955525440523","301363748987508627853090117229361982454","69776951109654705346417255339772110431","55490211096033015308337076109809464307","256919661749096991805755404369240314189","264430652864579194439565155816834842210","104324248669163848963586351984979441255","185223797582362668875318616732282662602","208853652630532489652869564273765696050","228225440705293990561282515746654142780","250428254000328998303618446598137216672","38250403599509471785272711810953098392","73821480222370453680596538821021123685","154679132307895764676929048283895418520","193856534344645604241867176655488789858","262017652724756039212986116738186528967","282579216451673831931025818351030218064","233126872632138058826401610043530058360","88898917673063277426746941702795139220","202337114910774232815224718854661446036","205531815252012028898361721446989007223","300977892675330212743655133088427911094","321149331327162191462289331687477464913","69123215364161082372493347195744456779","52697489198541863578764561402319883948","187866099641220690085003967767131723451","223634344782813189731558801620898699028","277320205221217391981447214033773430079","302541565694731121595172770323523967753","292257735902921836529345552155940650084","99682671231128094579000745900661859241","145565692730915179151767954858527132563","135317022978455333560107075757741291477","192006181045451502659877315475813373427","271263841523090945728794768439169037676","91781348129263452111996778588198700336","68179738785776876583273163345746948900","127112990530730112534188234881248163386","248848314596639666169630224570747562380","11528699069874936753406738128864608282","120639048395588488037776476945975326372","258451275670112788265707442752603603790","70573527283522036023565347948573096599","173178630647353815659174038587749479655","212756866908192531967206975613957270120","127141752394846563936234683744654737212","135033716836001737364301749490960635676","6436818104294943461213338667297558512","82733721379153046520832605766823252293","280383287065764443051836425153327119358","98810746728679622162860093605579817467","228849435880367301639151265690636566393","205543788292211277567117999736614980240","62466081054002590985852419633146393688","71032328045812938143022208644614088030","280826784816454851872198211629365422699","32587706823489939793516770350399495751","58340116688763362846615011515562966690","213746798782553091156639232756465130085","119999774628187279372584398539253923049","132944723530834910856884102031654718922","217007771243446057996916594466249743526","33854217925479057127875891665839616837","250232626857392395835897532277176541160","97688853845413831877191075656034638379","111438851916929213889294467918257175630","251474111126405003131844884565269676230","268639504420470950293759658426479704014","213331130611809159643122397183664250058","311389126974362428360036151675985693109","66832625117273989508384776885815900889","156131369064153874565822862930194306158","91099906935696255506727686437632878769","134591734455294353841836762986576514776","320713319599092553304531438240822536298","184265799323652300947971554176297411848","23051338519048252029942958223711560453","310929746129923093710088932935280474300","51357798148528589745658873584505400107","228489364705964672479954834352622105856","115030475665907283566412876455850557255","46973475158277561089015869739769184194","228506195360233935914989862181226059614","11216622272229108543750130477237328559","319639961071045925327397354562350601755","68675536594485049762940513438795386598","312540160096829223363183496964127102051","184786096827733598021955540178091600486","91208150942078223626044881726800179646","13253325504698461937756161850328063785","266900385044121518809508218282921126355","127425903804363639586345024913711544028","166791741759267590892626884343985131701","115665009725695703073002141822679599422","122517377922294654632413465230618219942","181997708559368294960606862572855390975","78320803891330367765619103244847539825","221032247319249928950584777086002676472","277330370490181455353696028134811020227","89695858362084115955384222012073334208","176524774601301342489550223387669370940","7492695868835088234945700645783420797","128703335546980789502649674120557280304","322831613035229033133978366212818097244","36070088198217689867626148727275218789","84096574087319192735442505726168244736","80688305766971101139989151003129298553","60693926238487794171888590375817336052","301046825960283381093444508437194308027","106053980272271760052801384172689210519","253613052793749628543415266200173384906","51994507883420533950532887910606761652","109222003261003772699469234212274283085","31807737085428921971612924806784927142","272007842168739377787472624056156446924","297340206079621154135205019951314933669","217087558094670677408190935266812184647","181331603638270450497065633166545300709","264547742101832976914208894518612215664","135705886109007609416150815759956492355","254088667922221442736357628266152173984","221248116049613129149318295507419787839","144061655384758435781421126323058427753","331153727725135855537206914956777838591","102254329294261071447591470040208786829","264354820120954601559993396461743639684","249240087988608365346629236432779346804","269502169308178600507384751382923846109","320446889658710526257251884409492631656","181158223524826247947418185563963124269","27257073381535926311214484666420059424","171447905666730021555310950311427317617","121598738615001041383885114989723363033","299992188446018330654883283830165550111","248973651977661193519067397065517591438","223390235479139313523936567799645997809","268443985610828901183431406971829177280","59002762876545919048927835387918605070","39878083178762493667215940680219159874","202179301578308881365005128407711508317","118140887953664941946855567289082678850","272874637853229231703895523277593744662","140318238182164315852686755738399077825","2666794710529603938873616557254365245","123322791974689373456332091678582791332","307434765527438475014222427401683700302","117650298211050018705792408425734951977","232537276036965529816527408567259293328","160672931962440160123893152903181928865","92326622164469461460313323203077606865","166277846860685930808935704294609128029","148424459835978783050604282338869111632","140266089481223855464975300644101405653","270719844276350671444840687364979591974","116986240616607665460456605515183898396","245957912934683094078247729496310303835","111686362708344183467504445040190830122","106864278325660740434490996741344682307","305789387165366000600736172271338880530","195526816066042389920070754469576979674","145250171303378261359748108910532835365","78497998130643497831314279321123527845","26865470841561198141332554943390312084","248074988771715815927320339982741529649","12782724560553971584816072196067110492","137899971704253329932480628435578028808","171409613638978471107409885053945501201","605639695984515654890645811296056700","97659407415651274450256161937193714554","40951899452370276990940690079763704790","328937782943535259413405344105696724484","266595558138881874940117489855725195860","48731081445640908459794329165120540191","88332791860383401501919318993862111825","15930089682378202149241417449195533195","91009185805488611578758394850920889561","35409262501805026347897555655573959944","205805918286573262096709778890390535087","194491664807874774154545783743114924612","316839220433418657807287594190154324435","150505127062092103186100002173273247698","337699690553621398070909398761904198931","30051209823703083356580126265286045411","334775754610094833565568312504497449763","167549297168899482400836981540649779277","243974548981481210481572296195038838628","13601376848393637360445225615694876273","80637496681583491860393410534012539443","298026555253127659465941952807913849629","257740982719157050125662236818253172277","3932647462125480770520027421667970958","252158889363254893492756710799308543013","157129437650502273856433247075428519854","192855519056672535391736602507470483239","245330534690163479809355705790825288417","91942230176070503480678932234047538593","109519287662979116424975650139156721895","32274337269877964378713840534474031476","135159649960918667585235987885418990765","134861839642227115611390685664879816781","192780801705710510696891561040514764901","913923091022534389411798568039847954","256687460070540885317250936375096951819","49894391095849164580525179585962858507","310667549591695295678871666714195737055","265507737184211678741405019749228440223","24805721245603465426055933427061901310","65657337495096779668370476208746727366","10646901026951255701991135701954560348","303397175746050452630350927365651564689","175345868672547977263296039691496427591","206649136605494749740093854905250775370","39804609998343438923142288556148117400","202624128378852672144146454982314966837","66052008222717962354474761419675463062","279446471840356604346036670898566891339","136971859308442365806477884782808029724","298146062586672787907342332815272600679","323747372123373203192346074127066338287","168894097686809075955708253619571822077","145151280518726859174291173162027178483","266134737415570199960025038837510749998","209538309436337628237212593040670650679","41404891383469178052428723646484307382","186701935455973017043609029187785385344","234635946385146525701984290776624768316","179919045303050743426883600477859067996","131869429415872191856018447144245285207","89935759187679436314542541460594332312","84307712982581649548845390353259034958","256978783762617114915853143622441558563","324626957704284803166369342203473574163","74425563758177271048314666853529430421","224250507435980258743007201745250798339","313547115012310035650021332026454198320","6656654351251759631018287096909985428","216116177503966886591214166484388522356","254440724151181312549730395946904596874","101968897230131152739312463228130338699","51515027923645461694543310910445677783","224450688399146433923057802760986100824","297449243231667156003224745855500332515","149234302560194111905779396696224431421","159507541739726378211533508863423172409","326629252950787210781969451039942296869","103581348943945056367438318468410860719","92506953443829129120281761462045791478","303861420909009402737055174475277812610","25825153174989941331807280251608478715","237352059438578053545632965066756964863","103613228286867368599235798962115025137","81699829464646216227679855130769558519","45662434180885885750376581519297371502","184254329986982707487477268124614117499","16533918045099200571580571832662674073","185307120965190613584148713714660675236","288781543174564705596796981676530090439","119138226037726166389515686718289377892","183810218478562075152433181975255395952","14361371810205054989112994262705471667","93007575142378097042172139345640623535","39076470055064338006881618970817421625","185238547425228451703448642534472575417","23302793751407567952232081682104078090","204525986152984476717100733183550842613","174578376347158286056233443756491934046","146284174322402638095580294186307476533","64621483357955644172029418817572018416","233545512883406922568595659452859800863","268617720248015256263199984152092211312","202990694688250583750744082540859177439","332598574952524614657397118501444250878","102521346104995421963424753665669653333","291870326980835749250879183584306702033","265374174672455126017455698627864825076","94285965161602571350017764540588638887","96987983954340400244374512725618254598","193849155093915772783167497361692057984","269196144997756638571213421001425353876","43439290665601515500814496888583806785","314133353955124134699982034669423988549","228561153132922933575817562064951389158","124083006879479257560197156172889899124","314068238700779325581828312439649852538","150861559428967597286242929293559120128","35389346416079135934470311863584779679","236121430093404295490308947221864936206","100029786117298282403833064042073443383","116375383178264018207266630884199224908","94741617705842430831321445663412079058","1622526508883257774994664679802455286","66304784595918417019126319802550710392","111340854566132113362449884881491600860","195816644492211835280056134038132647362","105642686755752587811350165004397529276","192693895503994124372819015164579000158","267541663461215104581883199288746449119","315981007716410500418240544908176964509","188189610534929795643138933355573205258","7091693102402391794348992254197652928","155770193655229065130081193811035155982","209711600879985921612027323879713367688","22699239747561903034365574536854162751","297336944258156775030633955508211466773","20076455672721185215259622648021153696","154080957179456959402016079160258814753","186665524793630338435515683374004545796","126957918121761027275846525202595576268","259453166061558562999591250972710512606","24097133478191822992298712272296782592","196256589195251748216052891047609574776","148760481199378435104592901236979003440","73138864641833303279502204276408247149","94552441996175315552283870071414705853","114346005190564727415073192241302261919","53422065872955666891145834001979997356","147450512185057458470207761205596040745","166891381794972411004098986670418247778","264672788211818508764906766880539702244","272845057004288136598816849333580346086","189927424367441766049561926626862479153","78750535921599899233409900765483134777","340029016407086902924863031138276988192","80846950077359919857340690521253304249","229595812568727561961157829887427102822","236826152660216827162089040603308857720","23703996971086943503265359871644117282","317134322592277289815165614144873793168","233369222689466804505560687864428481136","247154015688522843213252734499539765161","156865659356268593865297668150893609576","245554742260279893913756652387795174276","199139616029780590355189488582165935017","315739016944777617654733384175738829536","200765829506072897184517674572315706374","268722206812931113354457558194408306502","191961122462350837792736180103900671919","181079172052295843219766567471736264614","24639929732959848370998497054844571337","245508376124028989056565879110716382271","239326583595865347631188648045848657690","98285048176557458878872810307080416661","151136173681391516003390272032453596689","201721074557255689969685313361717399991","278108175330195294188729217596256037717","333784814750821498323125031690800184960","166130919639299712021500681124870479907","234223126582442172262782635870489008039","115987829292664204452614639180616531414","90358180382454706525178789403469553794","234599191128302041831412190033259115958","268418671608583415314071532864369930318","19381510959987843500132043993941964034","294249996065690288414887560645172206404","117033393866191040669988701196939156857","73717941557333166525776114948511783483","141741851053975275789454788527690838642","216823824398330135309472675710622891464","27610068290197003048779711430547860673","91175046130611776698698933572561366458","130811948129181120761676512855957440207","261570186114179005178584336868523762899","335279756221931884568098316093181032633","9493620141464338130117692220838521735","120732557760148476922790701405020947732","127713531012561054801626314170456097245","215858835802641604412548806585766554857","3082898961499257745420190938974693840","69758363968331456936853825652510461391","40114608588947764634694977266797293684","74972674803321368027486235176899069758","210081469025443734384923016170201145877","323048435957313076897103640325095022688","126655062107592121146221846277310580509","69705122436327545778166069229149899940","298004532429010432956432417668474760300","121308623725370425547138995580511738366","45521767563481592538207614480799017322","287914166083855924257568492477606894699","100380901196683822681779001262792749106","265236122934898412975374443613337667020","55071197163206204560095942910402827942","93025902841362510220738933505055034365","289106200644113817160844394925241898868","122139503570347768983568098515745004995","318013851546172284413814152244237659978","66855817717632974941916972026362880047","77410889401748183615240044723838317599","185733653332246226143715910292289878156","148671121020500454965373108667727456120","23969196282102867730288230390244558261","297374992877328959628375150034519175512","210219697550882034297281130347986323631","271719359943705734467783719844251059384","289381209415643190374936109784213912572","236637214552984731389069981950138623156","196619515663391494467256570579697250060","59825719004210545740375054115935031169","266246156002153980262585650954425621782","37015213651596287335573985503565231269","156554863744396742860430437996586952722","260672308691379970774057961439927035122","266606014680064731140615214319855811640","247900487684903834787451305414771843170","228547716215355569958601068139613831211","59941119120412653708932643552955583197","83578128598975161958884893574626198107","166698288178887600598330223685445596870","184976628278753126861439321230238143384","202323610248931184152512825836166593806","29823396705089564796379033943410826159","238965964835209114323959853967505094861","238154508370996359883823709584682007486","183032111235403646499132608610400058503","123038408850579576633377766873649938325","55851840474590898843629509601123438599","294905894773802106582448054528473683761","242632957999095879121143226702574240965","217382373875353959235067622266813674189","22317734264017154549019108203353620140","93853757761402801412990209200676279448","157187145754067268077227898102790070156","218486196058879948439102497798844680616","310222922901394913147924963749585900901","287151128452807793668162447468635612297","300739110821061448981037075183397062407","253150696676907768221729843004426913698","89344900270311133934027157518508980512","225613263657707346141507473492428243257","212482026124049538510315082161687263695","287015581890715526531103553743652495793","208484654096035012082288990743092911824","61225422504226292107443174919077457681","277314760555973659047223293537936036028","250650339705689479177777744895792993511","226157899488433595528143487203487646356","26976027521126237811966483352304160441","320334107773151803631619004974899415957","198169810625515058629244655012681082466","11862000914161732696162430143826061481","247795962900691886831584291955749990163","111518640082802402284547943727968335570","150731086578604244291916598133425975309","246638803580384938876989343354430932589","37996189257228763289306645552567990324","168434495988089640435697693363172212516","272925332883920532476080026269102594307","223434858056442599406366486546874881541","101011580624669200056192477199140803557","72551273617339779379753273398706156609","104527894955139769124703853502746435031","36669635139733281168989246389905854836","4938234224710180071967057016144059814","27686530335187573145599298879095221484","27744883709631190831982357427572500947","207847752273713149876698664169732320282","67751591923626393278559706462731915498","125619494644792643618955528821993053341","167911783163343239900574407443234583815","160437730672488521386674080336432524192","114450359263627071487716389032722397394","146590462837053755498698545589070179966","76152126718621261532720314835355448043","266974926783084224001550645815073368744","207947281504931851187997386601880543132","255713149451015121654803983067067055544","735334404096928927221726491082012855","68713912136375078599873692118504453337","82847417189193592597607448210840434509","202886646299980491743945862511141780057","172693346915812940811400937996000314671","94947548877123171269765248026718362394","295581946901754454428589043119554905361","334736569525648526527452598230055355141","79588333977863006946999347364347919272","297411363341336301915489061926731802242","167893867974043666806582308742373220100","291481613732223682800380953794399734579","122651198173792253124729633020238682367","231413280994100130834407578880616390393","82538468197313816605302877252253712124","293393197324118932425304420805933421997","190587213499397269751304174571127136736","161280471399227107321861744132043412761","195771741699754918835846976109469240369","163184127465472402885558617226907441623","22228847381698512180845127148167655331","194303827217956705588553998473065536933","257788864377214731279899737926762717652","118607066645935486803828873733774184650","270319828851534553838384620222740690869","317328816373585183138123760467376604657","255788016734655277060526874310174533353","243462058208924580303061212003469493364","318858641282641345865433424069200660349","244677408142391944717866139925622550640","282986226539214564345035468505583149956","112435228922494954735185209184146388320","221500546099699897061202363747955196466","43253436124208902018977864569355273823","265611126367571459260384568155099599588","166651765341795369354271008527690023616","48044266615970703079396423703301021992","104970831755544138510756976707695956318","33757687624164946394087923661864642137","325724309861500917385501307222350039501","281941385141725076751582295214742674186","49895089120132049609497982831624781021","49377937709948347035745478191419282136","322328320908039435215304421737962994736","50817275007747220051798332364900144869","235521845691162882947439456364405501710","331903776760359136335547609634249276031","25079697594952724939103021536662216302","129102003434540541461186218728107307777","224439980443818932878938217923847621738","295317200969410015858240829970282568625","238826239828552706672560827226168474037","255068930416087747945645798758546719563","234637991171457088530465397790927282130","196850481670169731187543685539383415424","265413054915138401195363713108339001011","51604386486827168802870778394140036568","223414191083994353071115627464923945349","33181069762534199751413051096378699923","276698937880758716748858524997852936456","305832268282086036830957528532422082798","49499657122794023260372483903015153951","308077365828284212183936517285152463441","29781256522702768732466442161136359996","58921612078620705119886969796071121333","192318098690884853612950504529348846127","69845476954880172310440079663558521592","222135166323728435038287019784310389910","14439016531931786526628244135197245459","5921844023176527120576065165773550890","157213893480420195920210177643364515451","48060392681723212898753654862858890102","336630910804124863967721542210544016851","310674282166488647618803245309224102179","261343570027247478264648558265291596026","262458004470383677713491145391268629834","88798982661854111106921169828902903070","277885717561113634664005996161858476556","25584445025628236390398986221104842623","54348909073722331165287186109704753614","49367967539481641366709363952051518513","130722280810746248542584957305964369832","326355821731788733520958750361886187195","296355053452424594525775227054341860364","54689824533554416221320094223365007554","273424940704047264538479608617241165170","84554551471122795230372329447473858645","282818762145926829576581544334392036791","105260707167795839535776931338503579624","237798385525375235060237545271988143567","72288680982449771422722894990664117383","128608539815199775130149029732078731397","296251325163698267727157294985702833813","138573647887526883707659564112019683833","227252497749202410344783950036194851288","257666078297398667266363921937731672265","279377441008866668651101850034392653911","136476453424445433268202278958796960995","331884432974278681019432272815341769341","229437145684329460719870378507626424938","40886173147427008946954833074960234378","19354027077778191760708730186639973407","37946808470589686916471612087940693626","102415163748749225931165959263789332518","19715858349813380572399136128705835325","130301682183723604602901134908159124519","146157900608190139441482506277016614140","217364734764804803276545768305443357060","339039819008568471325795511210530603125","233873582612109256313625169633172758083","189823839458736453178788889524993143842","290953412107560517549408354416330372458","310864832952508396094069241359503953205","260718323737187506941499659821778446530","333637136387173706148387611661383449051","9637474926955853852978805655997083539","262706206321789186774865540496986421245","217009779246701315152295729062051381706","152772146028408181107546800641654979307","18973740640716032197114414448408456560","106966725266733371981163836511892267920","206260928656114781108602986346588312528","299637649403433664774313392182268227747","313451923728589301593288366702491493221","182074794580581345737813380208998461962","208507926211335520712128166655758116056","66706780830645648812845262573202544794","337620563610314501803097565746572731733","306770264034444699882283580863675946966","339137671081135400292609288538448246390","336908958426710178445847463601416392725","313310699730304198541191494070382241657","52290742262712017072720388261919155717","304483133476308510195337306694484196245","202117331437006822930697653412886142631","188816641161694965571918020752773371024","164809997909249265613041596571789376056","115317725816310476814543279772151586469","319717754290463350325702577900527582572","254815704592454515877134720964303170287","237457039627477646237577601732555720635","239929090436963376642241615133801087774","56175735851555186876977802514674810178","136731020827312589771312887755548462458","165564719741969924708263857819855731057","83982754945054614139706911568613776420","212620373217691638897207200888355423301","288008673736444575356899863906370139879","309503724808324795067752186597383266366","156982077595204868295550781056110372155","301576330721593531815295390448454319124","176275915379967743104265367268158838655","251017556832094274493179754093841492403","47591466083946533334772061457837994344","55849016283288297570293328165357811007","137291633006085514415315862476955479204","201787762605960282458617611928947538183","67785476410461865115225662452919776824","9963869421790913434181793010365499130","180652235507573515313618206689988866265","171799116294255068937518024098198888296","213499691117026966382513815611308308064","217637271176065610751714404462705238226","89135471414103413242830736017593818773","211662473067517602094843067503746768669","96004015077758249394112015779420410661","146047982511094116005224658063002056194","189179614544108697796050784412145360427","283146428941482441442498521629588742458","103997883936290932949759300287584306918","172759248696958100906732894898438114776","146900782208124285995324036926851368557","115915677781330497674793166573497887288","77865564738877221554930985770588428933","303778438044987577676491208835438664361","15134015187745511967187646025435841931","267732982676223810289860440229385458060","103184816339775755069803600571075319034","97865243168855257080898080228671575246","99605689033417450711986851569991254954","44510268868638370268987850946829073251","153726380988969404744571421452594406699","287049550819644898659043225941237839473","218880488652470324083800681412235815865","257425483443759309418931610396680842555","262634964847784648816849382539775244900","72039247303221041766968592825035210238","182132500693356169345496551890963195636","213789770631378801149379134912154013637","34233575775635198756727061048295834141","319150528244511156600844324899257121785","83737459866108548737293724079465186158","164023750654826242833772732356207802357","9545340152147161771969438153419305382","217941694844236311542824396305333792622","295798967310247084886891182189530333750","155784062240812095943068512084205872654","202359095402079661095213419437436174526","128257849814232063855166410140597658451","158666297539926634350861462465217164413","202623593424808736065157214359633380575","300229142628567856079395790190574916337","142985444167584949742929080857399707543","175586124307202763422770369913062529186","194776400298621472252379790111518206870","312975674198867860543917789094646669541","48140797870730732609817111526888268248","196542219924740283343499060249695057355","194777499711938254934753565153957679336","71317222380717219378079024664349265091","79531933250676251287888331189034905946","301611886750672613619233010415094837326","251123362147241057207774670036855361509","166001125573031512493618296004119158150","240625366691222009957150297789871226142","146645981938315719400226246581611339139","120625284267861111549826173268430621901","75406097255016410671244841876124795888","86081393906877895184716259277747425111","74203396236377284513151769053721985324","47358868378679111481627329617934483886","80888711512499732003417615446311871582","144652993903638988219137636230595761415","136609717801986905101396757871627933064","238611264486112279821725290026025871232","49605398827279994345443689185541894995","9911774066831301335495053448742409916","308994941966629033524878616456721847777","182307918147550115837039495907525895265","302977912608606464746324296110767846959","286837724436460110079928564450730053118","191727321247872593712482220041042777878","2218455237302113134009133273756950417","6664414506136137090129186977297195307","103872788354052577978494199348368659616","38539778842444320302393721083191500620","199840292937148696209085612420809011455","47429357879421726874463107525484180106","329981525712436107160680561425286025998","142298604795120568513337712272013093717","134478161031970689687795305356457882000","168223377410568994324473382173625777639","228215216279178810253495127659570267771","282533627598079398137362737592569151882","34011745681465053549943559608697312740","8065056728135236814532564768847091385","48466204986630155137489485730142679152","276803252559854559645325619240317751399","181383270986557785551280497457543993209","286617653717607047553443953554349087188","149590147240172825764166915020571508061","97848061377459057178880956891672694958","29895908526061384775658095779810407311","202197552272134434891532299211347571143","127271802972248581369695238992235041234","46453001875145314311668725343884518315","83011061108394925442601219388687412665","150298396940546970083869831164887602410","242055618976645877138021937502694050053","50966336314627823355461643117779375695","258001391390128203069344920969820161664","141315330002756644164880108289176886254","277543912405611787474599208768695994307","211094911825484660137727410069335319195","138198395249943905819330744915279623938","287799940202487514539014082090387022908","323293859122359617636480052546705831868","30992947969769225860065051178470191180","332722904508621300528839511520985650209","311614409899720520065052770169955094821","262149652537305099917813174095974203900","83941284328515688392034401235692986531","281242767197263005885784366871466198663","323684084175490101517394840308793105344","340110182745133872626681626332707030872","4695563175576006416343994112203976146","125448949619448778795875548385205047241","327389063086312100794945905087919794734","309776610627578721025748606631215386652","36538078947434859209510664803452716203","248586797699349632106942338839364031779","216476891101936148301271140724014105894","7522409699410748630647160501309963721","266635108771560729149735687918533334400","284858567571598369135031402337463830726","127651943940346937122653155935973760424","9629707461439073547885690417726931003","309817506324522186010876666298625996910","268515451282720065569647554338053604210","49506201569629987679950542752882649954","190116368072001601138663691234112724589","6432622599720674454887073094964723805","241521482420362221073107343958034892195","242321709525217672205654694584741565375","143837013110332401794609902181457881743","140539626479134012376131395284665852634","96129784384500252199355097486108631334","19354830428164590207571472366001908998","97099958865562937493052467498723493290","46135974359170232340977542542969086143","226761919043793336809296902223134701284","240455782637976094080884326363691968357","304918702081257716214169877336943848560","316973107927669970797658272393847999627","115362245826630044272406402859653215917","165872284040371319287526006799065777108","217385236330614660768017617637414163530","43944475856414592794082523078478097130","20199119949047290421325716511964055041","132490091308342898919782143686157540335","149033490441277631129700187949152123801","247996910584223960740367793725836725605","155658913476147515500549440183343006679","167283247795522076487201881777043041321","209565157472608595085963913057523351055","37882689892498481260487768194619637442","77695085975985359448040298603798990149","324874915189935667367916659304302759466","209027381932026254561590943746683406001","166090271322732267543108629486816229390","147483857188513856119478756987323409839","283983797544386161338492188142837679059","119252217604319868909344354700935022217","701665515488182457497689359122137472","303828042192487698096733619005429745053","313596207954300016681973417343823347009","323984322459034852875782913568051845249","331067529076968119267733129574906872009","146760257524215661825078969637622308967","274360635456822595535227917176895662743","248726857050939908526573766383639861599","335006830524186470655409638137000841967","191558024080625815317845630588775494046","299935929182639139435041605170175442891","98552565808848890112596537675533538963","129676420266367773425023375428231619787","222667470007956926958550487069024973945","211014253697438196125647669273529049606","238625037806198520118177436830127869515","117576562726241125731897404245484538383","43311245200663172393435430811077239524","23869863367755440492497099597254196678","184814811315908439134494964763468682242","198712865571259076081857747168171390944","24408753357510890233683559184072071322","210352987689555237984897631376170766326","155476195598520270678354095338868366129","329343341731433250820276401187578637526","4794733754118442914838739172969764744","118283000626353564718892415989462350307","205691595815510755233237791157066554011","242547064443145008263803479706217864084","12353252158595109910820820200991067711","243547655198803568119000574402248871060","319443698384666769168728152643652938617","140671077516996133206265904610858881108","139106003777734927581365945301798683406","44630347797507144470859970456747559026","69108115770107406659345665134189547411","280116756171738611544597498814587141672","303622488389610754299915174895840252924","332400148184994454044685862211879483746","287978745132472644663000913169070828964","1732452290330997653688943329083223101","121558202783951920372127210206012394362","211814214562937977550015833843974531720","269293295926478881538876234127839371900","335576174946233033453434868644103846423","243751016458119607360822985627558054034","103662464684855445066655347162383617209","320189371253531223232953479647922012014","330484621472603143483505429018188837452","121309408521616924437980064147841211312","241276734843293093631369884485739507573","314028283572666745976341192460066986400","198329316441973600274990210373670774410","205183447524415912441191881142641056828","138514130431269416343637975382289988249","200058023383157488190828042523952613695","230533535224239980000835563678280417602","68269979435983423722425651103543322335","43216921447602738165238430721722104574","291144075037004367842657727513646221138","32742838894319689716720292032620914822","137845029954048677084008873378281900139","336452968445475069114481818174693209795","271509785910180201350746475965048269910","307071752345220842262544364395539444337","213643853793451363565011774988188295462","29799537472231156200476227924286211877","104473065984551952313206677379591222431","209302399410326361000922002877729144002","27887326799940009156743742726138562739","9921909412626081088089847871315020909","311216056301537947193074418289176491539","5607682922371796133828885656359064179","10741788803949840550379614002998427240","37423191719727384194439027193965905957","134030354707215210972085499941458779693","68135895731555010549407501766111844814","281043300806502891588962157822163322132","288830766052729690633966736210215272572","98142857786955143050732775060555779007","174366272451048835826538124687575388825","28734854184702177038072146862599413996","295859852144265611255707902078822902176","7750757645796438446372448722917181156","296058328123123556900418326589012904390","239400435897533331993833811287065594138","155330698624342194064552253126493912244","200158874426433867615179095943539596091","330351492074405272356467012960161400712","66306647336755084459130609311527772601","195410643294969880048467625488850542458","308946846055545202508658178869250503390","65244347902876290196069951253727531304","150752421114588133558953727176015090985","108983267805437474488705621178772110723","250524149535546657888182847434498620309","212160638588427437368212839934300418932","318206230179441985963076425557322583884","198630257972492349635655751218240200794","39016003242211826078272047536098365035","277724214456416214754878382192746210167","259238398434451131508611179549770652846","76211977200314561923432398316803348778","163995945646960128912698781681507502577","101615067201833104381667441341419245676","182670710522728000523893873300487972306","28103580693565722647871048038603374004","329670923636585469456856220524032398005","281037543461921371946298078899487248179","5868217805313145517483304420777881381","320247409166050891232609223645272490765","298365383841786714411360290126801855132","15369884417082206502006118314140797567","185054189323159972342152608594627275796","151802156321603103707806525845769054200","301507149021868972203236801202220309003","316342567371710012903589234259219819927","73666727554690885067250140077493894613","320562834702097323360224964412452044589","99339556520375632714467706290008148178","227583907398211416057990223036037861517","66136080622693396886458801875207161967","112812034134265938533159409503377589267","17455775321671427175635968311670351173","323551550232298379088423770145345392783","84326465120109072989698816644974543246","276358743310473963916848499374002266855","74333229889908269857911357535887481061","191463513525143637757003093668811987826","67101020272365971542595057013142617830","38746932497554948353834895180966417206","7078494495426249170380386444262221199","17954465893836330043729380354606756145","97036943065641302156123469211047991103","22016630388416728101225732761941503295","334797461569469726945136274101756233082","105665416881520671564696487421932678053","310606448730297294962325309640175507516","307725610365259992534400028672830040376","169579230937954974947203587549246977631","174620428715072742111506352219001931462","93087786177933313183821905822371564573","87284513724301083574734060405743377105","278036934108304828489442851252587709118","302748468691335895726200088136435753334","174892041925139423611241209211030574286","254584393167625481734309680920778830566","135490715637488716298242586788634029745","104226886231713428918719868210281091397","289187693449616966158883012733693050960","138050520760090089896450589983504877945","250849129606226951503613272872732657614","163714251239072185291875929176263779831","336906271725021011961742162793137583951","60742389894138898060967700483489295375","281703004023614139288630244964614360763","275405960264390353571306918542962612973","312952298118097310532344586834061753119","172850428207190438904484056011317905388","215706192649170393675430839372455525521","86937763188534798744797725302663471","125086487901440183156401303882002110983","308569684366854608600418667721845906519","85964776438293273247241800837479673081","267365819386232711380596967747587343136","292529959854232519651451592562157448440","167706869748623638755209044775145626003","108989209170524403316545491568756593478","152241446792431944985314655666873376117","157977410984412525989694747930631100217","91522073991530590758272169201058934278","207607524814021849039196422316701599147","231564540841914777078204566096919281479","13187819841390566358718575124510887544","227791868455358501703533519595716590874","297717932963554173086648588447895689081","270023018158861345535767372036551000276","151490324706518472808771144193447678883","290987708633476876230914160037856835069","148669502365331897585866443048514829164","232911216995954342819882039496157047445","127875065221334482700094725750739133500","79866122014864792330414011581655678984","152414590765524520906818522486217090259","257633218220430727369491579669671360228","20630133211720585907963204623137242545","317480231633042547167597967094902499975","9852220494479076867998277621066279419","157338545829194411432178260035846976777","274239198734026907605671781020586972285","74431818142800098876501216837424184413","271121585773029940818580994377854465747","49825922058437253414054798596219054096","20385445892821736359132059250649053474","291233812511577027381366195870913238883","45045945268519416191989834395056758103","207963193053784233294289037738064005363","96277971882075924711195507300845093862","225061321259606433942584907253755861498","199962278600720525228766388455712211614","324805871857562752493551579078618730324","136591343768629580285595701775761487921","212078878183618279156490889794163127520","29080568640514592077502065923845573824","29435964816141813597886205795395680822","6119756087593697076408028029870360804","312282879454277361016391963359197152856","126739485419448826936268136341045118337","63370144162512706155501565852692059465","319461246504511238881468365037814474661","322695980708094132896556500249819044577","105403622241126816099700309361659813155","222732305371237499667906442843681602020","181426157630867420168403929009940702072","39788634074929648575205416718214230957","223098381730581379858618617587664867724","106193894260034282670136316343924181698","22088319078843901241520051153905791522","123048278532295675437407061599468288739","114610921281886723416355733876405886574","289676034618705900360109431515308536400","56588047507560353503610501675310338013","320652591189349936157244933522554032525","215494044836888128614702933922884670248","85627642038180764405532797369562680358","181945074633713067393469434695781464657","311713806109716994398259804162717418874","83179926506699689625696184999663352123","297447130293594925966127493682141575400","321155630639829912170608674456700262571","320296718261024558836223634995504774287","33601858159608488162149329201079688171","95417792551302058394204677574084534705","339751167373100804248106983083280843547","271532756262328535625014183139574026164","107101809397572144720565700190669146303","202528131607193436882891624688162737069","301898446897893424396290325639742148047","193109742783879454989250947304538488349","66913579397960740588266835679952983260","278848740022876158919108524582378572196","245796876930718945870217182158491198745","140784671716864469766783581194503440925","77087628485519124620704194101738180533","236277389243708902424675408728996353177","306505390352036804956532455065451538043","312455827283174816564242529957888084968","294737299391483938978486901478144183029","148664582113822856028579865979428481970","114811492862973059350432961032858555678","53561758617324145103998791875092134998","42072363873200503891975354040960685606","309767647763959144357965530680921779058","226270032653425981736580902008099167567","135164692438331613362396184327747656126","39511236570520346743133064335411039498","2643682271405991232901189938540485214","89112666238831519958236896572550080010","168450115792366702209264505357790289126","234437881598259052754579489133005380470","172147869253279027111405780664108252430","242975280041968299982481551265877979270","277534506782956469137802005742938398183","139803192698314290617576966751275414440","262703745788099655606101706014184568217","102659506304799710633057814800955031373","335430963195782441128193670731269206246","251095642995036985544699877096813283022","68842127735871008291168134817850904372","32209385087454471531298647162439473728","202471074483910610330496382759463891487","253679782562744720695291643127415638749","67356683768179444745961332715527818571","337204532968273907039545643279349134403","258875060325202104896764594919157862457","203380649562606789608153929571047290240","155162064237325875987894517215614132105","321010435180938771097308954239477472298","277270575712354695148114651868258327954","196229279227283080399755148651580738360","6760085407138955223659401421293505392","140438295072138422963010146366486377939","99962837654028683300984890066173347178","192538061968279925218863076574086786685","311578728287475922422046850438756390945","252809588915565420381232375281661682400","195906595720497828628467267494704883716","309485633388032192162507955754620081896","323590934674005383488227886922277467542","149557662765565933595910492066934494296","105983444105352227626206601705464138658","126249636908390893735963865185440349675","130755867726581173204337381566558627264","275662375524272816365612644762938857108","325476325506533969534463322686059390518","174817037132029074321752421764203418857","205567589585095693122191921841302396645","100410093940166139405985417881316564300","319734807913220163697057150917678535109","259669426674789053562004968988453832685","169630752163316512947033655521365177921","80697606733790104234936360666600112012","60342858234092693264035861836797500649","277153187546034402519749582118896224159","254334417141338674751780659024974691030","335215882236873432983296643520420650445","83538558236110385223322410984609990660","335877794731736438220464258689043900824","249310878286499735865020108594814946016","261448970131382628409384900861174937970","59535711393577171173544819990529438367","191581859340531745788211726889780318255","32595583324612135056104640681201254705","270683275374072847548269118811749481934","202347489054472103547568866946166602368","15377048810862075621750339627889807964","59722083405526617461006044393899440604","14373853257269075109362655337305334899","54522859763800387034471081758210796715","38206452057909983636884610939007193827","174899817411695152550012082470678772019","264600338310472021587602817058869053120","229485014172784984029692854401087990657","186707872463063144061620225588653729350","92944471724128281818818090909458681261","37627335449072583096387948653660768783","62574028610793883057372146298583460950","180230582804777236842841024214705721348","185155525254603366152028251180478007040","3119544022686263335626827901253465062","208307332987655339260428161685142672014","105730193723384136663746672167801203332","72271563027543009894365955006873641754","68103900775286609762919426425021555454","85011939746789767688355716589884429026","288774777181738161487871378170635808990","65520111183576280068611347457979327607","122247956514658717081980392721826409709","42676178122029143531896847142335598050","286552493936384612052815938315382671053","308082850188797179710515417551414929150","291528181920217078295913825160018772448","163477502499998528753401297930348754289","84167904079584696909166397585378378014","222094566118898283855730980982520455777","233313889617321370469038503081467721345","143939774308530066427642860471497272925","213259964922144449890680454447822604693","45638812549099644083335933141767344644","255886989962239991962331917597289757037","39537454888795644581935532614211534180","180828257232725351024513130370827879017","252116075866784632305659211887845897145","262045687421156966497974748913350071659","280440974434440584545833059073307687330","30210368080530120570667085461804133541","161521157329854145118696229196597966460","260632251872278094206918204286641166188","52198694679214517245563337596613426640","300880703652986934881452913760735771944","310001705447855712818717812940447241781","297455860801041231722285567485188297083","41908232949030748280537297445553798905","312232112690969585644604632259130430992","67012043707929691608925963595802257922","221916658311042904287610597544983082171","26688947076201649418027723204847694916","215751814943139290204429416397519244833","196016835930826872238709316975210673993","262457937350891064070771661712911136524","78403822911317919933239511946836348627","190141741327331839373826644342226071075","109909772133959919749809639772557004690","205623600728326582940497277111434903850","189885523981641007374574534214954136456","117433207403152840971701227890763531317","295179943161429275562627884159016914818","172814634212359064245039959439353068642","319953044295477938472770348638848778468","138789596212158726073230840177653858927","66213116427617913896099618217877728251","234804053196306315404161361801481618476","59332352483213399495229071273243135183","83525339601295831764494720161985225412","331258801165961461428456708961113442889","264370269379818184853067864102163071361","235241251830212301830425344360393770312","292085600827011379363850641137192952201","207961862202431699286485217716745735786","97228011889256502422788845520289056284","261742456858846581608951439640391817199","280551472232260963921847300475612636026","38774433078005495057093708182672004179","188420148493574905309331938245929854170","294859850002408913752928431098703629840","121341575010359950589794476849647665040","74030687869548052760434646429340877040","839251956005437321357111869337889689","232253670457804390740480293349152858583","275512044701464388750718196226146653431","132922711153658226554760941513846464144","19720892192116487425003721444557466500","1721376635161765061603712053347907412","292649116596996012572002860606054790271","263724427197559274275135889764724510330","119299586643390325923877884158300549102","84703138020887442875420902419608411034","33596666479911333065180715468835330720","339674754948223540723411399535375996621","193237418512121295401729443954443303778","219536221599722869064823656051462262941","254278619919206192504181447045985031970","231690194858429167648840113027871495276","107601771703690653651477886386452625256","101387580540002265174037214644431842693","12287426499501903216976307798361291539","17525528549088980213845823076769752696","90713842730825387781535368245471809744","77639133368627299582004444697414513139","94168464669621005462131394753340126599","78011023373761817834725989359466248314","223463154328128041654495236077879792197","56539672776018836083622887845245685410","317736288181441483815259311965700063910","206696784899122191642516948215126596313","256652158300892299908355211954925180007","113169611305674925389347849011641806964","121185412706021937100380940775581440224","168182043216104402339707832807632476573","119752166716595102729605088763872730893","327316432339154212027043476933622604538","315025419794935360723824693184168252935","195773565564685293082884007218593220536","54418386363453251825578218175137153001","59853366361318482128952737661437426761","4960257752162062383363401947011164152","9309582367555618473606126926589550575","210177303751554855974576837435535023861","146270532282504419855001684803456984362","183509242308584796650973797460560027726","324653426445523943646705414308583830880","335759488061574098956125177390518622155","92540445762725926700902881099610407349","197655138932137979486620388851964664023","145537143984304533154139714660806181267","195970534553724224986795478978648019851","285243154629952040548545496443599708049","131060205922145959158283634169871784953","198552876340407474123809482957900209602","93933248966441886688426498006436556812","216270658676878592691740086533809532811","23881476802293496445805748603041784315","20900470421771697161218514342211067331","303586652818205001588527611080736397747","281851084420282777142149544904223204639","226052543780711150977610053883526289881","151526445700934380468444386321381499282","219653797415595915021979390099892039599","240955758753274475581346050874785823490","71769444389303162869288692658156061097","113912065726600273567106213183679304930","88786107810593810935402019414358950111","43416269541168646612861678177144083556","283333107340801881264517382856720747800","25830891943963522230848069245000202991","9013068218122313559005663483548472111","295276739023968983005853686431792416251","287176510516642202475311140497164216672","6992858345539658447638159180027062950","295522466583689059099135590008062092160","210576233587735313418502322315226546289","297237820823344912480519250862761459538","48507700347637412032306072775679738802","322041045042793653271196407198067581823","164601413653620721139667740944815830791","169093075092340233126878649188233600782","139020067669863177318348228737403751005","179600448118557599110423102688650021017","46153053115986642996998272456859939290","327893662539763579884420831205282280492","200530945106565844142006482923125248251","173329249892969478424295070672939309275","126003341121491468192267857750845701584","306529133233222731016519563981772615281","71000861734928974421975264654177600909","114303944342068263554583536223517967137","146587554779151878134019932241802297825","336943308401786884482842845203734178951","188010636099421242849845862609926430971","239878398858897774147851980389574584329","144170005456952788378058759047064144558","55363395160951148661661893872443017031","183205225137915548783709762231710787864","149177393818029582391635441481200480842","197119806342891083296840889583993486429","86266290623280936145661479468571399204","134198792969652107339127559103182185586","213924065079121062102658238833516889882","12683477476277202926221814154946314154","160200649860450420481872614232015289190","77942539501189604179442083116653930933","171126691097381946993162027627900436224","264067968828756666611876578439142837548","44499917610518439961631307089991840756","308989761311639703660523874719910376881","192109873443268253140573037555727245920","201072945740630918475657192096737034737","24686991417742609474694019357146609100","318825123555413257112094465028570875550","87523314435142000036416411286887949934","337982033449172655990729846757766030395","181529130303134596648513059344382552202","288375122488571093527249069994239557988","117707520652862706884737238395440157400","45337195838008446784655333421145648182","204581992178230073323598005000706045046","85330825094934400700859743186304295461","94564254512824865412086518341064581733","145924051956646152712339883861374623192","110152650711436146778370378283122666958","240303890057090552416751836145216845292","161502298498917892088247309455702741736","69395609628925726897079545365257868489","1399559986299230601795352170228762057","185077613245653203050628079454550252008","160968242507117914156228875850791507387","162127213654876047161376303103222821497","314051893138149384552136215856345523675","275726709458321919565796777491508831052","101422726347668845417461309446166547773","289229939215764126980309442860337364930","94787979976560355104799271672754731077","147884983037046400973729543298799963395","187488558647979976435972572196548872337","210497841234976387715353816880580009186","107063201614588631923634762300934229902","296494516471500525968337944948684546394","296720398781714343190271977296093138196","173594804960766932498145786641109764834","319964901256426232045468010678280474225","270535457953931453579153021651732502169","60454281081731417342477662847501427615","324018500318435318313884015274107431137","159279650147728796062346551973386175046","272730139321329164376642499726720756015","38544362955519667491387030605797463571","178164302547546533182850936266471572163","251427545832877158165219188904755184373","184361745738538713287389318886462689928","259222917918000424444696036799118597265","191294173158759505348651268157752765228","36127920759845879044472725072661245277","201827367970292061079855129983617765009","289262378105081530160227029684955845784","216598418735209988727960903357593911522","304484304329277535281734004715945897355","138260880129476191598585202001437250658","241241497111379542954328500839954381732","175889333181123080362063960766308019039","274310587985468461052562009973082523070","288911279612520856712100156268743595359","109907746488733220000697100437194226813","92677105413473250369901605770685097578","174986485553074586606357353091359073107","146975966269260638245346692093514762632","109298688814545747360443104605679596258","244034757752123509616848726546207121783","80909488579246602934225451731332155223","307780919569381306430913033200053974230","215153426899754839762909435221101890871","243469586558288605159741149037743939015","334003957412793165898954281022283461297","273306563955354455687063777378818890604","93799967237100565209484194280962022417","106491503156466173235584145652872793322","331673083293978039187820661658082072746","338126012184818520644172407192953927244","244389166656403060595851340493326891968","321731339673032982072539237337066456116","334178271069480284360940082173152628264","42677480070565069137536973930640771191","195562355313436441166580236621993590913","304049961672086102933737805107514028071","196007916830513230963940190150348157303","181457948311703206169819361611945241846","290756283724175466174860251948082874375","205175929193667562038842056532127530571","301011439421061901085850931911409470934","113149516347082210183738142897699675215","73277631868282649879801169179348550856","118144810555665937785030441903605333383","209310325456745620660206710909586524796","229858339811495988654784048069370747877","147691977926943915848043948467851450449","46544753621459631949103418660423218836","285628460570437481095036619351586072351","175843258841392458308596212199473664457","326425032078052574417112804010389679551","83345311960796605908508799373338096591","235064066679425910851749972567180675622","211216532046689115364238719731392481045","15808822633570622487397205576151401787","289539092261911498252339780471143916591","84165214502831427525827742663144813965","73225438255507284433580473687248951080","234736990623625252678533692479452637196","226738777480205734187114958445931936096","282578172244690521403596157871581402175","58267234183554570913732507626437940168","301154427372294431942367151007263803329","50856746254657524739118805958022283367","165701450720363313569653121580025915654","23917563478498048970574386737483354627","190715002653118486959936817421124387986","252102874280777762272905002504767441117","25285057243621960001168937783001856546","283591774831401107527339514228411732993","287311545080885244620420044969018246076","21230506936207706888813567807647770559","88878723194828189549373445856942402443","26825987683131761202807185893774761104","106473411446327036999908793297996099774","229203596653558394065302649831949349589","214933722284666761172348811371986346337","91862938008669987784334385830664456749","182669486567498162544380747968015981390","186304643134641023728585648893213818714","21394494858370506837150233112478596757","81644164041913687348166711810272764931","48501421216704480946980229969238432130","227316164316361203110832434417630106618","213153797132078179833026881557855186467","146727200959529754648766929892630226101","48024557089840726290218736944536957277","69386105085272026367639510964222716935","277320545517242289730287558503814666842","250809918001839967012198790339368754986","222469466536203353948548262096199143638","73243961655462025202362535639776072642","258424649976366818259562865878343615474","161602072952229508674475318788488925256","212105443792154325573873434285370296999","258132488683349016141764071580142645067","50150755449844180223438357097250110756","281333998154702594502206952307308050948","139535276104386505460793814383119508361","165151547020094658363675413413609180251","93239501215493082533373171544804713060","113764069981609116732756557952457870146","16975966846600449860613131085224342120","25749202441911827149964482451129577012","272813129845391878055335095869179226290","223096237735887959422654111378559274546","120632603659933290752597151652555420406","293633123169222139623434847305843570119","241909334086794538086091307714736707335","238642534249252886896803750208024912306","2393697887815436516643746685877620249","170564665226492798462587309631267445187","311551093918956819634939876104282260258","293535205861222404862493476241074004376","163794026008662029663015321591635779341","287789834400259916155286851793100759378","256880336563835676822349717886245415976","293639390358861992734816399595064115233","193912633632901823922198017807133840432","155705604579463291931972590225803056158","262972092318624194245137484025553715974","158472133446370710066399927507254125776","35180969247964078712201654061005639201","114431701858568124056266452279324834742","171893079424309852974731358063339334279","210356814153713228483050339336722175586","253953121768662485952706763248212279715","59484664665077873390744867528983979205","116456686496351503371649613251790871323","137806090119806438135339185902221398124","163168444639668091667149718686818556575","112281117296837034478998515480307543191","337688478884637687220045605723441969763","294679985818043013597211702423644921568","212692264140269127317594961574445910504","4257774832902841642113707869924436873","45360924447053855524778081767096272678","52161533324370203188512557889439198334","206656950801612484955901329070847288216","115811402155029866600352888405904594925","17056341027766715490671682431025084668","264559273963523631130619840502193517740","330873473896829883855734046114666817524","176293614407704139465044962170884419024","107950384665287495766872022967476412542","300337388506484834266685585675129322695","117814729549887921774922573867001799676","191439115909701150458811729146014015212","247226756012670814269243258850060786202","124071664803907581882211853480213762805","195463737615152696245739871571826429812","232663101296588466474080857601695809395","337567530095394630976979262689845878866","165684185457777052891712496525728905102","83831344572790270247694812374767441823","334175224101846183622649207966966520957","24289772647570667890979194866248978286","192036234569400278231800032233804203206","137622864669082516633284863366497520765","237847926649289929690615465533988739087","106770816894173704723895088890030972079","219598095440907237734313223069979401306","217846109756953207770094741448077316365","145444671924337849121730893980332506801","247138024973477849350981150178167113348","88039356020699105937604771775673774082","315470178420813737881644567337287532223","178211719910124507973902915339984327411","213177721652223952010834818983543364342","268056808119202311262493243151181083828","78220900607247362894358947739539113365","39140618165462281705671100678673993377","126032473150124271722280548711076023151","32349977576080956515904671143646507502","171480514028253412227409684972000545964","218005030905391439938760628229604166633","272006201898861724125177105580317497428","301329174658551009236866335638036808582","128601690821594161842089224164013925451","319827949652927584817614528230986225309","309038703534420344182134719904278069358","327505676325690492524375897669803652261","146348959201118245202512935409932466900","116321401580881629342866018090469797646","55067833967892647028315662269309540521","284520045213778853298479946112009279918","308665087772678372393334877021253083247","254093863246857711133842039114934223422","109780533285466991045758830469279845502","230239344312522360341550261644127009835","224762844450877264603599518168888018726","208296123347057690483300271975939209409","158996932776092623536639866511363187834","234583714991741273925379097462204877876","30774154454557527215854879841922122673","204321657490165115773600653395977442622","262404361252448192294166647320141066462","245289136637798917444108256622667692721","116724805085242669479027588870022766093","68446729805735916081453505962810109945","112047698889629795231294375503045849950","320059509930635488157536694475824125538","170867615139554010038310771653843138687","8031219165267119714171869492100016363","198935576357158983006005219440808867414","106415577993551226380397042571672091513","182597205351958192949673741376669045472","110463728158874900174872536966258770256","288209741827182311242137368931928901648","323609570353427034326201957297470800456","50258927163572113683772413963607774931","81204186837794342868871477275810559130","13130901816259797994291089736073315419","53929974900489516871764330187751054184","69132640227870334452141863703995137328","254900216792234412463851081896199976516","303834991802734941441284122535027688241","77210734653289349524749560686438632116","80929713933397068534053001418096028295","297668337841710248955939424327201114872","328577998074437608033859860976993313947","20397323746934746903361172585172604368","103529001890132900373820001173913583876","301932773768415746595947493354432352960","211430339671159885314042972276529747340","292739131007680073321250235936947982796","162195181923624368087307227048631105020","178783914033250804523654231398172929105","84503029617431566090492410484410989169","263065970899025420779415241785700550410","40908795442102756548076233598575896676","128865882243752603947187845359818468746","88911922326213019432754985063922241956","241641317003979054426493470912831091988","244638419765088108019673439148632736498","108575305815652090765302978274138645287","96380906288838238328848054080254419372","196205957541998833330375970073274630975","122522634825963803122040948788367538334","40282534284620548079766123519568073756","311288770793656981638492758414371099790","140677545609626680739212349228428991667","215353404323186197966460463944258665003","112518013505448011719647978676215170650","309886388822027836764182965989703302778","98474938258421014713601935293911869142","63285673568800576542356870150068891193","166192334047795827854557021328937546434","9069413696298182249456622056733559451","90561048600849893314450893775412877451","177818516800040092527398922290572353354","152732922872631861255515403396104234348","40727285759457582773062225849572235437","302096539872706023015208474017618600691","308637965353363305858641445850191282024","51188105238927305058257928500169926157","165695729563246516848111276131296436336","28433811320280217638610711184320525155","48699650988580917085989184535110677295","220744787950740763766989167871000144249","39149685082099179364939155622544507399","204193924123553875886991541444443092225","47229775354578446826531034730118101566","74948464069293364628829038245328684439","210811352891441639846248100757592450126","329713189821674423867483167147011728396","33536695497026359887508280147277164964","37022779041992284203243118589739911559","20438526351611943897796561317181388372","324650432921689331332996570649496948952","202534527038136135397471385358465990617","322024987719077683903357316445098785710","202841939507597365213842845756075401573","186205351134112225178979165792902418893","121130989384245127178682320340235917362","160556399938312060648199656573370196007","65907305537004467042842955573349453023","83368220615239795758857954651007750673","243258109076775978052183144254875040308","111237213407502033363198669847817831951","155642766973347021438747933137872073641","266868619703879161443643870154748208093","304671058598848144869267154740218954275","12680153469957110886086146067650408450","86487274549133001677646318773749147258","128453504305976428558829146462142823843","144073195943788733504422565579302862887","302789083857759654391872675982624945371","30962834707942420070663238903482592260","290335699140031894169195328766296340220","64941786434964150920761998750016547194","151805931139366692292570324868231769919","54474180579355750120796538600538557708","41435982952984973886168953001397465228","118463416402994375904192667914211471344","231555228354768963319614238581075599238","42846901344522531892342236343226148924","130593781560913101008670967911092553382","248745926942051500834235351413070356085","104741558533318716057578319011472290557","152092190355504558210943153291445373199","262182094297498981714655253252496342807","312587816943724963748965626757918153949","95165112191049744189277878594727667682","303743787050127967309944105714891917895","60881705712470872587718705714021566726","287960111295915853864390937081349645888","90708935455624428802812413957029224076","37140534686457554977423398742294816252","1465948914763846859377453804113899915","244458693024568906716610439322534820687","272082229000487167063456955313535171914","43877233418190805684594576280027782770","174768801991355793927592983184529456334","333172279168111289566317032687502139622","161686049920477658032408153442957764857","56699239275517656749803962885659748666","178120023234283638592351313753177667514","304292281167312576761843212665684088154","239238364567322681089678472741415128932","65363107166467327172716321162854143473","217502584352716089046397248796045990860","53650061534872938959342159506464487515","109774629142368938594943208389896295156","112767964857768805574351071436582053962","59248382121310048176514945206293463120","153458901392566547973441864896727869975","175332247102962283916373682224608489243","228465462973210709173757170492514717129","182650262054093855338103445283285604437","35175632329094077245425020141257667951","217007021133509346953444137053662182401","35652004636891030595726309049818393769","75779862783866093209248553885861949123","193389347835134005943079154226215415641","240878834433373097510065468633868728325","277910518322503971359874126636650527218","34986076779047478469846714660330552743","249043033964527900460958339005108321946","317539368289966874751760485400217473991","301959162153824610607038760766531040456","302621467754274702649426420037149145308","218818197791791448373040169202575477968","253040845548520683952465401883768783466","270976082478307014105718735245065976838","283982038609926365567998890727200463340","198067990356538717128360230552607498804","242160931662249644924375137603146066966","235794463466599863555221185836285549857","54543731614210158641769381426983476214","105505660472215976521251544790918026680","211221632996580232565903933297117218971","179551921533990580191688228430438644639","164788443392750526495316628573650777975","329770935358600649101031544322292131973","239881916556102833019306573809646615863","269467845331499033274767200656297228662","13559065965976595375779579679939173182","264764961578939189771387822364112078812","209307670543528358703981167284347724309","254887399052598960565712381020914395103","48603481702944797766528926765918040980","24492754461395214580315440302383388949","43801379865045695553223290084276338166","210700258424346568743784819227974854270","75344461253146474953937364599105742130","18755146109215951618146852822393683441","212682882246683393207566944456087665688","1621575125277521834523140669053966259","166389713344922373708626978304601338122","281992304305181293472920951316934528794","295499167354307314180450534157528098628","235666018465330960724291349804465202107","222317964637834866239172273628977956014","190859804587610251194540379499980180923","62346498826835323999768090775070370715","108999221785285688224113943860953266287","339166754340607659897791313318273836668","210247880058612373740608737478679336599","69963737844221752684205579281895204208","332260585056960726876273997163884493447","103313968605166550627513105454036873754","34771508227002375748264432108510072433","92832374266151536980412779140493225292","41795566722146087673542717204775099154","97860133649337266214234843287212546061","209500376563493062414993160712863809281","307170639962984585480398593967204789741","159153792563744469297441936617304637644","229939055645392602267432049723971704316","24640242094005982118655102458458319254","497605619049859904856641070400390965","306076383410736019987695386644803308806","138583410021078430187652970275998954387","238778509596036662719711847664082318360","166413741884028514811531375445426357770","315157072966492574841699804476621592423","128310918773889038838101312698822520218","280054577852508552066046174116245995021","283976557571881669041620396550347762289","167803450001300989345922255350280336233","106343723067074076385074278496703445219","43343286857408367828096999342103667945","74683509872922526709516050699539346776","132496269374322514161620123696217362008","323584202967929413380374131114694127619","41466768498458785011416293593968356898","6522613835755965179490738518392997910","305043440767286040179357825974938803265","142990711921845284284418653312531038991","51958608908674334294491355291665718326","303128552231030088818116485153201058739","113261535424215432362983389330622411384","329810907494556476362536071844536728857","5641336591253236421417143571985424552","32732457495386972446231945804019669967","198341868577369889483607230489939587890","66451889850693760947972724139248521814","114174037706839520592307536643740993924","41157707801699959229727091762275022659","262379794895969657851086451563488133813","273332743653119124244738853257968849433","126542865779796918394666520171005127810","26670759413845247648275329048514558873","73636516302873973383687895009564111733","76247250838707047114111806339355024237","171982706668062762877760343374705414317","5706016403670168779583981807641886427","155891883968049887468564675004040728993","295967044332177929037683613730561089097","161656433174846172131378597288470983245","88512362931537990890453874495301680535","115242557826399349372695594833043124775","4143878831324963974406906873065426394","210121376561078600813003884733547942231","125562187083869542857528545005208667371","66497038752706800205374441143462513407","22773580315092486417878242594419767854","172000912083517429511150310992229854604","194519499865691742247186900676427868166","25719088847227580876393610117702525916","165394331258636290030323421453235740690","17089626993940778291443182174176789177","189669901665175038245459366701071469357","151797969116741338723130705119399643782","56131767600693484651007494494220502637","207104463594229912943625754275831807659","63096127427467610061712552023604208533","76963784032013047835792312951329288005","51520027685812047360736125902289948378","231447891683012767652222736500341808262","88881864293970323841464750812867745372","90375987138384089573910837909256234819","271808060048854109429969871784164390583","297957807845817613455624754544297356296","264649485191977453909659247704445974333","311354424386122528952500444820239723402","303588536095624573794961728031973741534","7771071852686851953729944573106410352","281535745087864841376780691949145768609","31111044934942443756990967072357281056","65208619208808368334837614318575380124","39682840708494584005199133768552610209","245220915353123683685764227801971057904","272582859829199734384261535308386722464","2175578398779355547630642896773086297","208382872367306848698577057636490971941","332433411896805264406754869044589883926","205211614773966188875396443417201883346","94427859971288907433027439524917361605","314946970459517011931617465489439501109","154714992099164762479691862498467539777","176370846965150774585665642702422645602","2920674417832937377015598285557190141","289899890688764680737940246615114775293","295280803285739503835064095592531350333","295611197083592125059592568336377079727","12905358041611560464011593504560246878","221843627371050228002082597029918499139","271997453871536379879272073165794186586","276070973779956583199274027877410474713","96115392883006811646890158848715307782","89086487624159781298192544654559919034","89822536024410934412844397905069479966","162955250985745876435020415922966611292","12290425640213041623076407132279884972","336771422052004599621181924458363913486","277037110798064062377538852843277453792","106838593121439310518628401915849444602","276963485916153006467261092936876327220","335394984734326202307909727902507406381","71654729842274341379045789435214195204","117731842474993763879150956182864769592","218052623004428457906959787528872638917","236962903725466785001994261971937506449","294275043414165502349646925322125864548","272206371540225771522846637271547354589","71442418270414849255775473555914483257","25356821546339973104666243866803523024","330387892426966636101025698617476877534","260678264326276539504809314760269398016","205638872374186423559381021261142951570","297088343349425538523804689042656635286","64359738454266414424905144913365580703","232692116770246228875249495964602972204","94098326862957189461152950918947487756","159859723031760726510301344831052486830","61949687120691099004455194725002429909","185992757995889588663162865253319112641","121460486664606918445382478052096325709","157456175847271434855951802794009238328","114606852591167011265512772494618695110","167977388908615773774116033332457046801","144845293779851451676589336459144191080","293310012943345027012454854907642065494","57238485242891783866999467908951172061","157116129400330464569112075335998350209","165269953588834556971900992152492158348","255290344511721103388181131281818004446","277295478440684588579619582733729377173","17732810900711959270654918635971200568","289816304656941758039188342015060926611","30463247737017267209684259100440454154","112050711151945068241140092072729081382","103416599664473660960168015476302057752","51300052272142126310639381249744470927","232595324305873091563086276312795344965","135120417258315788145373914240312042295","185021340353471929398712615658685638991","338242502729416540125274015478255933896","42495553451333833464698745010742564049","216419251773593592344425355667517834682","311262810410450201206748652564604114531","48793447884227530940074953363232291769","205697871188929448887269679535492871141","90418085366332765496123032774053299027","333202497084338477889299642203067515731","172232526498942933810375973850078115959","318040261106370409178026390850466864191","127214120859310128677627842381752157229","318445236817128938079435884039830766322","120028423576934663956978518814711703304","225123359241329177083341159716881900744","254701960943444154188209062460540204101","93661752613547886485083913943613085076","261545321927827429474998281029161154473","78393202824539577073419385377127603998","199245508907093299684441470032372418179","110258249947626360916581675595206742098","32944767953248110418200920571623060473","174598639549668980670869988918792883022","224014727995029875281882946524417165841","230885296880682413397875053331510852808","132182250470696335465678086902362760980","179942510174835212587357472114508544880","288026396260861226387395578211613170491","271310279818185603285054113922155447688","171445256026934419337907906406034593378","171434223237664676995729319226578109469","289072198877978483571049784019532328735","288079228413615626598549838692367172177","95136567804319764070131320896503178437","152024039470754750742136437979130373643","111033358790063859062278572633068051305","99118770325108419083540467047334828484","275232920270757134070831813308675066312","122270460434923140890384851532455196832","109665888947573684638243740981572770882","223025204591420702822795109132388353212","214826087098918574041522315084956965263","88461269966122349360311323335621950924","107215405088221383941124939147959335868","324277385090899482052632116905020068573","189792650543328995078810965291567310042","58400310478363698802141893029350595317","253467880739546925482274933352441712625","54438063681659642962576520206880595356","102505759744159886079168406324063671256","259269892480034214183871583228165478577","152746682256342232844028213546601528650","265842929570765635254090476274018436059","194644915318361927591211903896001196850","196518151866963265866148233043562122542","270693609188696928093307194547462027777","151472858646344497523900695013544367973","275001529185607228832830201483002774678","187267802832246003891009239518581896792","202142784885409194242643282578836249539","251948953380814759385042657278368781219","325850658234390521122705200286981231221","311166158096600411187047698257534517877","292687264947659890937765281212980098938","194415085103361593148346251111043387771","68019198104757745394240141315452360486","146255143317535387852355464707531252109","183760695609147510963004523856967095497","254477605464368539307011354394144127434","73333856691555231592040285905747767863","295974189375401784310936597279367694301","220992121002290466747381141308985904561","242108415265199104770843331088318542576","44056380130564385601078680056274487536","186873143497648055584191638723448650858","155033774931934910361478896235549609037","136156067128640685671003736852635303499","287590048223650466768192208254493451036","78175975315902363806997454302734844040","89065665525475881046796242850564259107","229045437165339134398422007192130872917","32858888156541700805211096730675981988","317352765303303036752925716133151137664","290120814887951830265786481297353967596","45623721090480709001611655758519767038","170132475248727731155350620999274508239","334476123120425517842635636404682222772","319582247291000742221086941442477425712","38292819032014685209872796051910371360","289949937116902526018800301471831886938","242785409792635278671329978747331774827","305666027334445134815667283082645050758","239987297995443260648632418925009524484","190749889592886141484360907107314620822","337183835571738803771001306233154818233","174267891433771467386241013132893669842","80439179448632329120953125227431736209","200101790675570291958566006159738957665","10042374996872614357449362456059801015","258170682230342534695542049532238549150","280988934000086921978160672293803665221","266425014296440957708266918983080425461","326203162882348078379383991756562374110","60791821411082213903749278545078072416","210378278611711325120882754764825826311","150292541800621492939875447331305270442","21256271637491289886569151189262514430","73864274052520440003945835033147571771","37603288564035390316263768694798157110","23222186087562895816016099349735119747","270069799101388007592176917601753055228","9960112074759597842396235538674097722","159216383950196501541997138021068176970","201678332473313189040878443746947899120","191199324907460198113328843242259568492","54465137319301543999590142703356260905","246557718494499584511348407762243122554","69688162527545240047775849004992822120","255941457809079238004761726169818489861","43632756589515330853334974046072531639","224500223072052828155127605458944100415","143881260933170670443679828990750333028","19674911027974801355260774527372384758","18870690422383795031004646390303363166","64493641963521578452606580711798904693","174617805997255558824597576918836783900","7973399605687160787395726917743421847","280264000039155338813020708939002156699","227092628843386448427481245522164643305","299917532380220004535005491486469932128","74290752969480967364509115434831941678","204307878932090676949045531330052170481","3492443764395235887943226399967129715","146263795809218407269749767073184445679","261257821267976664990877746356458315548","158578632237296164092244978434906590722","273122786393765349379494879333170178336","306196634139790062347461146739272390597","255098778716935806010543947260946351129","95657597448653661746315579033995757855","260081052529480470133903387219503641531","309116320049429006977960150540028217047","135503619453015957586892723911588413207","87342471402072204553075827584668320514","322762866005576413358951590204315159512","197862160194625446165450529945472226512","191746453303444383020323612341472281761","91083633014407457593108427956013026914","270417308463768411007007540095881690727","110573210695274599999719061847537605267","94138722240487793366457443784029384187","264567397003579264247020529931196515353","130539308691393961067562607411838131272","200190861549942580349075871120374920964","31564253385926006714862435974074184959","225400049319250390641107835624508791590","199094820731280740419608205148529584830","253755415177332381813086933812561942294","150309662505362972573736479274402581026","156543694163837105549320746573321825889","182457608664164113421703895194241920731","147598725960107027281311635673521176631","246695099789868403892743024010662862112","62783455712170367267405433283289370691","87566657739060557365360861459649217553","315647913664805892131662370374965518725","163132166962707728389771032466531894357","293733995604724643116433084701854312808","334125993450423094403311714533003285142","161182613919517908449774340734823548827","233395185934809977831878248308100224163","160706213203256070765280017477701143375","8538588794267930571458365361475533341","253156325838254280641264150520763798058","56577643187315364437529023063805894910","214339617991901523581802531799676202293","187049601937275247866816018165627643174","328866498768916554299339062299261357495","58905003507118052817455361144586838864","273866186326540879596604833417648468054","97668163181625651973364803379642619709","288292569304826011302328298628271915722","131139821635494171414337292397335228848","58046059408004416808320527439615423778","24760618157493152563061629862977474888","314821652789975598101931740114437513732","111072444385798663822692804205972607912","302786392742888751613095325794673797381","227587592521244728394312935228030502003","319560005169158929081740858244135250234","288704405678032286352862261461593219130","232505151107195173644051188870023387246","269720777646679338530752648740737736596","202696195376613272097317661005752588364","319055934199101267148105704766862835704","140477632448704428179961359422433292659","313065414756949304451420156643601177874","29489006214255912188977727539025418830","51353957965520519842105041989522425308","52008638195699727701351170440421243308","78669488355809865520956024196292994014","12499082171344648077230222775468473320","126735094149421004430533590037902208169","207002220060955310140346867538544088457","140490452940812797105703912255040843032","30300205584664817621172341586179050051","102378214782457624825561144460146099813","126354377148362173173213185097528529503","229257080890004987670778158125134852645","274748244870290907083103085279864879194","44470021663755917026532986057325809859","237847703750364353613570890354552656632","133442098359426736941223321261201657126","23807095381728812312658813734267047184","191536622929973756441285754884486581229","327329576137344527313734127968422494265","220559650406723673749432827592859002969","126566470165088171249358407205727291708","133511300136154564683354634107258501747","325658091961649311141969462858857204804","248481963937956094733228491222658776839","22353919391886748211355722948697210545","43059369435419356337046205481265703150","163143697801994866517034241717920553453","284384033322398897864301724124553253490","241669026530402726758030047893553178444","188626189209659281388274288106739880304","149741447158546221318918182272897918945","151715636377345828563657407690223170515","1444448588474543829704307061457758775","129273073056378200743894585903808661722","275063582234894692142248928237498231982","158162506298148285837691067758795639335","220046536160341534256318982430522895364","170278499243824133110323929820430505093","69827091601559926675562749956994609087","5237290386068590320856911678037700658","161559969545226783399754804809552303581","12533243839087309544175501626886683559","242260535750800085812215758745112958664","151108772054376377001072374253418054417","145388562632141158132430055781682507096","72866480997058324516430745826930535039","275630050435497522082364068542954613154","72989556772786050484708400309403268106","92456585015661399208949741165590973938","227886088271252632437381552525586788770","19004150903372764903273995712747951758","264033398271211645631283983553421956788","131987391311517628500009022581457242343","202866328648177664736573461936995626256","39620469733727019838023133776463572383","339525688023244801094922609699339614658","9173090208679705939460473151768764449","59431596719445258306605789764743152460","286184885773992331941716085262445339078","68147450318089132051447210334387351019","128211506915177636010883772622994912422","35364224165029285645565782901553803623","135481630601815834427365467213796965773","90273339046239087272183605822122840536","61876111997918373907716062941033457561","198386564199094301807648562553731633370","90548011896296160855329438365162824530","219874817921223636672037741791942092228","132009001380100656843875616417960122786","198533396316006890936206019259679312325","209766634285135335828236864337801652809","265820735059018016470609352435747446071","329157036120338920297506893205356168052","318046718683939408351262786815707118794","133176553583538016575402104800932246083","321636046381882504150803399391021628379","24664418411775614690468328770692104087","240616362153672647290639730656255296466","50561442958506677559714070221028469382","186594906890072167673858829032453061511","57789626618335656984398049264068160678","199715812464976902324395207968135876543","265697931187822339344100230943978365686","18210580672969796768619014301849972818","290525308313082475158897770785664018771","30391374311112387044811265084052221617","193513273820605190221234730877341586034","278005702486758477846649241603833621162","201942864570714679419569166246741230470","127299047401017407085599644189593098372","222712178608996016593984675346853158056","266746102543303482344573280723677305643","71034177232245528698234802598814147812","60900229388456243405409256842382236046","261937013206328783310385607685260716159","201875448295322541324131710720386884238","35952915773341281499602996579110598489","193379732562334333262151576576975576161","113775178889286138102480027775110376748","274632062325085071950644663059420825062","150957919506020549839096869338818651328","186899986614818551560079115615966838876","331262287266747756944898293568075097059","170360225155174545726500137292631158972","23687795611470011459376630338383408614","36375342997606042533404155611739461335","138982069428092566279492694446359569636","136333601812019983312890907493864130714","277716030048906841402851873272627291141","48968137669698443770877951207150682345","161280580626918789231044394480067434048","83371039553620731159351829084805820696","133829750797882809513521001342067553150","234156072005417953878775349900307702066","28679142355834617263238753921259887375","115870123883567483412725909000000205166","154139989173422269549287400616349155059","306059487623273239668309075365564894448","153670232072104274543424336965202523215","156053916833273794883076101740672540353","301999221879698953338159864017027491664","229496949534514068038529973184807292261","186197227128323462984063135932347853388","19444183681781937482135490805095808570","64991717116997118186873154716646397483","222557698513566597908650633366027116813","259696685781959294525244881323385193160","166205527935182355656768899910045126522","54331912833439714641752020546862023230","25754093590930821013727907793379401060","33105728770206592675256461655482114740","295031763304939300453278443405049858852","205973994274281591699637955362001190425","73756375280712407595549917255054951476","6279560216504771891887509241415603972","17124791644334010252304136834846225864","131068001464973099109370092215625142956","78189030879364192561819545682329996505","294371349033963508462605234778921305966","222775112234940533945312066882057324109","332045171154418197079386483032429652677","324168686816620026169553049641466257897","111941758141428149796085007427500518994","221895159501314578204119252665726222134","210310070425879557567275879689245386158","49431560173199614827145529953825425003","244522199536399238906302981319487476994","137562694246220962156203409157239024856","42852260241373285229676721601441354125","89483533128772314444372603376919152532","232616327562567416334253994103847513303","329231128824859584196697698512125203428","257708670909074699335322690251318238931","161175778727838091644725990185797178583","184856417385593652173289442468420991854","35730632857390826258279571527339389940","233171721878424523536669864852559758840","88406843262752805421048756378845613553","128146313219849202110508871828626455354","146348881350786532617297431890809275530","129699455398408380100461164500062569469","149445799798081389361693473809830996669","99376720053975982991762183391621507385","225208870223991592137751038506084343718","245126320637372118335241158213309880134","315163621016594262126943152896726199833","208629061139187473115430947476468105746","314589766838877691298137598446661487551","30652391949441225730411457894750128289","222963922810248002968422063303271059269","101675054152265450247980281659251029306","242523261980868146087181359113774559380","244255400805124659337704365052725850950","308939084264292038534604184537262223136","56189208804542943805653828395381164664","132596439047788458496016048009164862191","209332056225792211291080976648114558034","174738689940511880516696985405154689528","254304623136440070153201975329663348352","149941278350804914578524270814877400329","96753153226435292872710369230023840272","136136444591489656374847003763703893177","65627649227687197219571959200725924053","333768642737301842069648597355953070284","333045542598491043930696574727977001735","34301839890105298807340361560747545237","333133201139355182834627250151435435797","13583212907415856331484967264038673159","274219605535066216134219017412132909645","318515487330431274254657168879089318198","146165708560647787050846025786631621941","265363545674466665844575146903609680636","136849009693912942804642312210734607091","202428276554445614513367432271522911694","258144768149753232696528268643007360675","258612480934722487245457461126422162993","2101343515876404774102477800698427855","243966066537023373648489526763191276978","97808737717560009391204165316560851332","11101417961441054968509009386126652591","90619656850260744048755478338773386492","46042111335009122828735995752521771288","54572611136350185935131246791204684991","272239256451199477003908614259130707722","27454059795379135897642579428332289658","321169313663913664655326778598018488903","108503731740563602709140580428566841104","43384666247973235826052648279879915638","97481509020275125958265999125586326253","20358281742206565779840398535313749432","265308476225545891860979020921819095174","9417951518587825559660282134139958942","83875187625951426882543211569413646454","45780228168699953097044144784830259585","140760360134891142741203979431087512653","86558561443739481146679120036018635838","189647064326637317077436752525779803479","299704272052077052680796374873145822658","110899007498964546952632910058795481883","36525653781195328396205473293149420830","32128802234949903458566941684515737203","176421284340712504782243029238232997488","140788534023798973993850953804615392314","26622218664564571424329372552023818272","79721583550935399692100824084118806519","9366503184792081233934128062378691247","84338368937494889248782896046853038839","276379615637700272632550386171994424117","21836894741698438216728834109077516122","224593528818632713877254676074326699745","2943330974480571302607359939124787896","293618530337800882249985896966612384195","12155049091924084482182290131865449403","296569968421246846439828243139770255729","78199330284042084783676412490674849083","197416729524912180556565182093055180054","329827099405051943142520818471035379922","156169502580171626374709391271202785512","217217531902461539457259788547796381734","271606764818620802154234504295477089597","225929711882259074266467136435165955287","109924252708361623690049489869049133671","3699070106309846693713448888222791181","307315449210248094691024298863079467640","133686784520081013073666103812277106488","26556645203554439558201017196643283776","186044937418734531673669218950822295568","245634280188627958046768361974812904168","276689177478876207353862227354575258187","189703347576542531452200159302257869355","269472549205935395103397422750470126922","209844413975784050940620789010485467418","205972808099729069510083671380993073388","317524665517214893267806111865002375595","144842744109286575028803867422948986549","41066343153632944654620148265645489315","179263196155002691009428786063223151293","148979278664024211168640442664879853161","106121011527765703939670850609284708029","198421824194251657022859402953576596390","134052456114922303301069618100400154508","8034473796786127265113583483409971203","163801076572922832304672381225140148336","159467612911463777758327256755229190908","143324057737084797017178510569682169094","151974925810184295459967015203024235130","149871267229173695337741515197333355039","328090561854273672037184211523482726534","191735430610886199889322497990202670331","50698546530781973336289878672680763893","22530175647011432202102955270243932719","82629106467004759438599234933858355662","106880147821135292458106022958429344981","188375051932678024308694984090406981729","163024618169865001737574309694789728318","208899427917142367385565490502699955397","145502710096359769245118175846315734326","178269125052988839428704099093794803482","126529588527839869606050843120113983014","111438614234620472479738126452545472492","258169742977174913588495281319324233174","84793662222501265438457634302677788878","197963005332863989466527928039865357030","221385743475641637161141115579233164758","173549474737509343440963116448564852430","176390596648903864105380823450289384335","238385322086663574056671951189724322821","282182673046888491844691776331960245193","195224968893564730594880753149887113826","239840535660747337917136058534953158090","322092284407404835914338041507428892244","271805849020310564035003767242608013688","26432572662481870823388264725547336611","75909083854700196986709448750617976655","254619581838516144363213347838110353709","5562160226873723389835039904008917407","119599082458250682619223297293944483219","182390683880517790800185891663527013682","329895743181319755326373885883134029744","191560456707687795877853773774540926511","66145818440764810982198830972841269487","195307366059498281846727711729977214264","227252364099367714093051423465771083016","92818631429518127026376094406731343916","113692576770596349831274181013673787173","101255179191340354578571299936643878687","101871012338415218536139378702681102258","113029181296875581072497838760992685992","184531052528843866176467957920739536729","114990950889551512753565531556787210854","62332374961899767202794456567082448126","75271423520688767025181365500101955880","186856637321617645105265373850434932357","185249882079915186590572093250346891861","320939377695299666728574839303937958008","324309599227917046738314361109594541870","128169125410298023940271621866058931117","115317779582860421335888954178151579821","74268842198370251417995684705402220666","304013971358465534072993287414169105605","336601276291668510999273247032876305730","281395041241211215574462979434347276142","302320549237324386200900610497576467329","137080045376027189079931158382897743153","333414499489509060326421531571523194358","310723068492224418269709560202065558077","222066906444453012623047384787807316541","250927461722691565805182643122200815950","69953110335267410377011639259803835428","97690700988686525914638129677590760629","249489321797331121513523804964347548621","96954760886442766110515758885822311665","220363020627981025304618678480022999115","12241543652942723227320221244915963633","310898967040254242695836057796991491246","254207333513298494407294745859383240120","164231170600218580980519360059097339407","300029171557167051591147361403141728690","83848993539744036717055999659223927287","224218102313956678234727251888165577561","323740400202376847392564415657151560261","55888530612306476240153673997597078911","182223062038738261890907762018670045135","92070241740437654345405207538475702457","37235991660531568445206981887623058645","123372563085525342516829493850912862043","311887849514665088421443317196141648647","99831656173889990713802177167979882555","308741481071440893912898360222302537207","38607915777396600437859564858384752758","11993529671815726449472659782261577340","50510188852635293770145752747694729303","215416267951433006338226221763314023230","80708892243781735769484676889878650805","82989780565362468880748614133081952397","258648340903933387744211961135150436927","77364843705495969092442112984382537871","305020356036860419717593152694245831363","175895095947004731025138310907660940562","9488993509538860853475378206771329629","102071562377572836562180485810517902147","242775365479120182003349526808819846181","46128773476272188402981625429357813733","2328166344783662435088433687078485068","96217617183313517902008416773833517942","80608076001688108076851324449952146426","262138665608350790576910237621028320150","190187203688729987394111188831579867856","21685743847735513259123747847211154591","241024751595181300096256732648624822529","22114782089227154896650709767585310592","333444130292172818265825359498712332624","13665202597469167830222531556210900857","260658732557413594830488267826139966586","42894599497372154429467279155204495420","134733532105642784353469022094295409044","91268413900268517189237774815856646245","188550059379742470933728135900462976975","268191323742644811998177282914314457271","22068052159060497884494233040322478889","85972466032423035744498071725826371453","177981962064053672832718245784183843988","149063940327126669476451100029403579370","300106848016897897800560909688357820496","291534773430131851146629030911339572782","181865654019593794321987745248805743249","115541575275717473401187131603892197591","112021614626597583204490738920396027714","54009600256434558762890485956968690999","39957540076836185618129640634639352040","278859916139347421986684833701109689637","101714884740474975139810378513355364763","61737911942581477178549492151578662727","198993332540280468703783144446373846446","55657235354051761486971923531049693330","209253544584044595473111225123007009840","28665440927640019563078785888237286616","37150105754466917357013279032534270809","242522866845327559032699313819174756497","65908144849641446684278600816652016719","200668421640893819958967384070702333970","35937063102976481800130221541963495474","105964304545435429587350179634382261002","223509474635630055296437913101094800492","2063994697560711418650432089799884549","91433112860849646524406521996212402958","229999702858895715930524002364933641056","201301868850059633017393422769941482157","248993063812824514607969469317987720944","184820441523377264732826970636516911127","297845924407313413927907707201833171858","11421591797609238322772119223633423953","223862914330780018384785027200447145132","47930503563127055286024213489594747301","272094180101185533117036376380105428680","266091269413028454374311192468536642368","25923814871204143699592135948076734420","24172215540323834431836367395117539278","129810217743887499276343823869844989169","103015153597707373504477543120362429303","140745352980425372491152943807034258561","301602316878787972842761100863274030878","324096984986426315035411094939705387669","264105352685810060215521830162272105493","318469815137684330744675576300332320959","165954438661640444463857599063745508107","338733274427634827290033718560067402925","137095383772261024747924353491668719771","244190032455387154686658453939839621657","109053078470083881019600271387359881261","107659984045978795978861306361322057307","200429820765605997476964286393575711218","6776035279591529264591625114399999914","287275829926786172486656510602694564514","60175145749053786789052220962388513623","243657995532098679018851942421443097145","178683893137486288732965605176502628533","49750118459902519943182561584798234039","73871734407808045144910651184320284701","237815505607318575042981414933390130302","319749463339739468010371353296885146021","194575987284220883595334255339499650936","49376388553867327329013356874282327981","157737014336218272237987259053769374319","183651127765561944907809683932752305485","46025972935244149555211803035262694009","158248110953949473397164562625836642681","243096936514192673858082433897556326549","261492269316937172729710337552390340780","322038192385266422933851610128261394045","24776267424102692442724992764105979671","180453604357504960571959215171812287189","249328715528572833767807655831141384774","105419521250249477877133516368759797832","121346425968039882647424079125532652603","65812093975348360504635249336713239138","91736936151588857163387601722772569908","115435890469558941200402944027109610753","241944026624305218744688663327617523567","185198538907080147045380228899988881215","309420936173872062707283486542230007841","305108054865615121425912033350857675878","260802564390322360303245492512658101189","209107013656399697358498898968501302655","262649525641333221443331605560719240341","242422761714540622543969286681104568130","135228275222735147739847205075044766940","165499442488715757810271711594793645360","34072598309371933152029982482405855288","281499678014699546330727725218696006191","38814502047227760827834180214603292658","281539092028321259366524945589320376472","233259676705265617691042476361242030362","260951457474657889204677228151395327482","141685892241304802778319072519688816378","114365740940602406030081177374276229533","245562359583087725101483540978554649510","190105024623414228968034165805026209618","22020444798661422198932817159604511661","175323594873591208760110280442965235405","155031565924574895360285710026568495418","240332586648118450534993574552254308112","60008055267681519351784501452796675096","337380772503931059492250355681040177428","152455040973187838145353807452713853812","47856663379302323466683968016710920004","40917615934303219386512520620118640590","92351919165111837044072659277982569245","98769643168672857569671288829897761528","121547346273047390353479747778695955151","111449032129810946784839142048715612059","248738005262259336474234888432953036956","188919635465475204483142811213696296900","32941084703945663697699566356237837941","159798492326082643125773396347960136257","338691007626044039152202526514532704258","340076201243315185537503672919279081040","75668151174174416009759530165571251613","128249188881741991078079475871301236491","17168741248163378677045378797688845350","122847395592426981930270959004800784977","108986429382052088138887052034595727468","264269630389033138700200613560568015631","191994310081431229965544850755491404788","82411637732661323693698655569290780698","225393048303028019047143073969224907212","261528227729117887377811712187662827521","74501132397342290794840548250847086839","280245406461620385728546966405863638344","180455446349377835468937278833554581283","264838275118488923383517233335384463769","194169028950739802429705409841819304950","145872619019820508914219750902483614495","333330337406201925562776785637655057344","259607830896358646401551200409044201674","160540954093208369044084932002777707469","265965309396020244325847795055046373469","322985567846490586325293280383142587121","193574786744062738609831996011300971976","247812206499427253587419791904843806034","63481112724476648589111836326992271639","97544394906656268611980518133185565167","59345444228519264953458868065993894346","290007913424703566096066977544323450484","182738734837638778212675356702619514136","194443854762871596161217670060158977391","326113413180854814886420949919672112184","124127353526390562165208480454609920417","25332680186921429877416603567842891083","65770412000203699718131427744725848018","127979861715937915036684111141876515465","118045400740015388294722123279424936021","153300003905575824770707908250330845064","336593664343904803435062107968591415418","44704708664676495503139716517792540585","22015267154637494432228028721241503252","52653533626660014825619723044551688217","171306467650051885088087916691583375559","95453029689615945263527873118720926962","217926211539969779562229624922370746200","300295317193921894787554940517358800700","105293578064655998580550042208991977791","104153574655416263182782892051401865863","41308729401025827422669964382539137793","46832992376892506974851362823971194267","145813066576806192274943311109392334552","304283368561185705573768738279125538657","169614230723571534054069904901085317168","82191845058474027232203510643115176847","94566544071940027882126382347108866419","83242893156150871708584816662597963312","188536002098324258712187326920875633655","112127633473805021876989478189437044619","123645525647644077414370736237617154060","51483495821140678716562550371625801541","56933450706158172520106373021474291868","148125348283724414897918010455577521068","15578097167024668884024722528463945028","67405638370711920183118780482999672252","117376621382837454420867261461550455658","216311716698483151057708792307914987413","159535578045187301398492810181365045785","302214014490517465744392954777992321034","101947240786182219107814494794403841387","286979881825421392312369837566204551819","306030019412925556451893864123064062071","20122410606391442413109882274206875474","142782807383314193821332385151683537597","161967162893528627187013781057012411062","212750948757382444805133707396595760796","85429520846775338935508047499787118743","174544556597047037912742551996563730051","46615243684803254938939160928021001601","224512363225550328574912794168562837254","159411501249882699713777046408749895100","122964771391744763165541813328170907289","233757219205388991947827704835830267783","113008118054513399130796661473792992581","266879717518344559986736315304951646090","32336905692950308597659292923433213638","230714662298203765991938108078394715743","328787768243876386492830923707596309783","110951586011973658271830958169126886482","190557644596614110035160640463078960283","137439136489466768424687347752979381396","238982012573875649085943957390183803682","33572162545178994896075818561126633074","78769217799750825786632513470400682234","176193577960463487696530991015723439892","276164125529197029785057135541271294942","137021591242824247580259348612924175459","206631640447013776095135381912883186272","153649663106518526336390520007896507318","78442037774493011390866284004809272194","249799954651274879603075102952538632156","133381373397004314117727333896032444033","255631005491041719567453234209572573610","293187732382605908523709352423229419432","315174234118737575535904059816372306099","14810185426539143744202165433868961214","208014181619958357092594664260613452000","145271252700947638895144258820864496719","237544956881632737571756331284856725746","109860108805570606109819142640833669449","5834023548982446587369480215473100079","27975109474331838487436359928338466050","142782386349165134107536690140694539694","146768289306706260838792872106872993213","219384868145810599169251933865307588735","329235722119124847683766521056382879132","129349337099815865230881250390006658765","124597950186794834881631386522443298384","293825938856850194198138103696878810949","316500364709567781271903180806488546254","182197608775548586448255317731651138704","41481454829372861224481072467041828548","110411408575031834033372185808789689804","143498620127197484177775063511379498228","46101568253817567241929773883756264675","231813831574927493952755819565673404222","121119206163413768133564843344020589724","222479116114865503276586016722409620324","303041681844795350046430062098779850482","299695784444928926946182017555868460603","122136596216940406855719470469526680496","167206432576208812986520202807552641646","254443165079232177217736133892604364108","67060060550615082818207789852470017358","43072773391374902229935774032684618439","298868899330851775752200303130603333056","167139840462119855370426125207807267992","96794440701903573988210594754413828723","294098238759591179114409940478182752745","293754550904673142268756384595308084207","107920740588661251781726451867152787400","201289429901665930106827399357568344484","192732135780540458482779168185253838592","152114569323686152256033808301821543258","253046318668799306493843452432791445600","330063288027786003667270949606284353455","88829448781660447747622754229738828075","335288226067670871147286356481716864298","34013564387818908127773504838724899529","49220934973794400381904918310338930313","189411087044334466972403542635592317462","280238714895631554552471090377867382757","238587473525851200009199735703322730666","168901971583350476927010453213753187883","100709807973597468764148640235069945738","38723188840890169599906342377578376646","141500004053425244495719348237105827864","7014498890374662298277927639128095486","295660357460237897100251712305537562263","181833092764065768120534196236073823992","286300837355817006369239001234647404596","257756934190619483635862756534032441340","142413178626901049815328674228388877896","320901314644175823183399350230799919437","258230335706062349325246161116381058453","159892689072070542725028205764090820881","227907930763653642759988986269175195324","244509716181311180494854068686445299979","283809626533178452999396208962457330815","266204351594974914845303772252683873751","153973681449403130566667118190985531597","120612373547817290303564358109598201473","257863139750615888616910650574247010195","147154852646679596051882875080317839848","242818694268842509739233331738519216655","101042996206298694456055066734877010425","230647198678845436632113507288397286030","97709619008921231584653810067959646361","274295340840340337501220061963941930256","242246140678135438929651796457407079751","252443866340971739184786196207451679288","26121626072066193852664500460828193950","285465662737866599673542725088636944888","139545559538000844749990610044912970775","182349345471137321136780855157988721234","75791508104913354633595484806074234943","321387119184138331670539366159941478388","122314895695128746313300596289816340744","310930957928644157512579870814130604144","31519276138379549275349025125974935275","41332627084401385919189768581859825356","185334608884351885699184106634643893409","223714084887991132625998001609247962608","148983723119174979465767185723282053809","151175272115530287620182761377009908699","254166834281139142158885805063314454949","84504475274841407792315444372311347830","329227242647417111457901291138075140733","88040558577100256670609062602887335950","340064050797221934019850574209821533559","257844750433915297087019207676216846727","315532718309418403080515998731905175713","170426992944946266139115376904559030410","211718691179825510705141531283858102552","336946510592780872581976619963549642321","94492899557316371814110685692286357603","263843185960423709287675249234929076803","131188151296552873803862330009383698759","315826223193076334506825464614111857529","289342085306372859425523594233001606823","247213521429166633289964006422413537551","287142743142812761908266496862339222878","170926252450614165265824539364178212021","305632577402444937079621446009703866841","257927259969720713359892983158522730014","28185008079827486793155267536129237211","24665519161587422753570639751898194902","285601890511457977558292328930428823217","6854183113106902624921490536159628942","247141761163734413037764306149134307656","269282010702968658049370078407765608262","277086223221840556706249621534870819926","45795926514289303210656567099104653581","263332873949295452429024713368725857946","306579388290363930035151977139629165580","311697013089328165470359624948263918084","159747347666038444647858761102370071603","292249210357441647631318207852916646061","84964573132511924597201756394201786274","251345158800763830070573391888245648180","61038473398745711044316946284346437316","68079915335163089961069932092949048264","314108114310203813015069103321970231312","329394587403131040982812244592983260301","122921195411556652860319419334764413472","195932257387487410175881964486951607806","266564030768039326123710931951988715522","170061256077379382682891514546393579926","188078448066220062018332212398659159489","208426580371959996712257469679323488413","237388440860581199614330949205067768755","326777563083600830783399482376082051352","292401779937713159469385530179149787905","151888753433421437785278575895318962002","281779494084114883314826254148035150439","65067767404124723356183167909309266639","327668331478570056853638716236727951680","128942264781347982791452491384366737221","214855117114403502791083821269895645211","277757363817330032445502169592912909692","147184204230047087689395563485163498187","299628372373095395049921812445689348606","187802252733034999087393832718739836275","22060922865794925524982113185605709210","286804929660315367616245744724967118814","86475573808409215463450912733742068138","47734308419822685018256267198024853045","298727384427718170218051621596050098349","156263752531428816472789543963474512152","167300468116661624437622392857036400763","51658283597555833081808025487298118980","60814923386437139030876136210737345958","176329008854989824068390845682278641636","264323202253888627192660507865022472202","314745509042238905142604472580160478555","291532220441781168902450372891717582736","11061828655033862048335946059272679747","218476872886012269825451457860982692014","153967260165949745782507352216385724008","249055119002547275878421289558669765533","143629554982465657388097992653162485469","161344802796079739609858808200765714642","34686170857460233575173951581132952557","115436631059726634015445463940813392155","270714523097031926235692899377123758292","260217116482346786945535178263256550269","92948196508102733243516558779663907261","229092523205266825705452577024454500530","252847432438385453769951391240391693443","292745699980413701914964969393058573410","282810099352198266817465490973904396479","227328297004374614103764437260793725393","250254647780763756087202791197836829476","332468565293992089635119303527870867334","170420557993016762517860171001757749728","338607306732559720268842071769077402439","148609423394004313237691226639636701675","48596300217502161290266485357314561128","189154775120162445685280119112594291573","77124198647515418170862031854300048645","279318722265635616938435185617985785928","136641047552872035364733157730159207626","39939903392259136744684169373122016654","6944520475142159895756268757151914810","71547005750670616502648704542070227939","328577996997124811363382356155596398939","114021777835821717935518610842812102533","111805893070468034763575183861732319154","20868367722934581533386189751012341716","308201568211513001930374614526843458237","279994537049582810782540228459808582132","208822568967535550968531502649991941884","81057773970758661313747971053505733922","220332896244975533308046936866274385177","215923108087050093128715535578906399287","172834816087901705437571632136811961944","19927726544727459169809681936034604538","120289395335725469352281619969259150911","292330767915224109878331826730136562678","134028229238977063145988501852559290350","16913792015941023123836746989813543642","239086915019295533060483064211365521260","17455161335318845403642164495426646640","198129464344605485348182588138255404464","259723451371667280485040141380358708842","7108773122500685641434197793651290331","217637543658778229907112388514185312523","99573985316679968915849932930491594045","98927546495237991799479035818250835156","145179500170141815520230339827308174828","318773852036840105105591977611920436438","70235904240237098271512814890618043814","119280791940346450102876303711695691102","294770752823643384043081992174576377716","45692934112862516377801100201643136705","2856875303713016492975953921173842215","338901656845584423366255859978848458235","112575760345040450022922666926746309355","126483188533544283599836655438074720315","7513444056795136352826023142335404276","293048008647222535147307059401070576648","296352326461878024249179658084777949502","115692887635628897738887450234480847575","23431282623525859971399691632192277723","12712507779616506719884114590729117091","336231146037142601805952614253953590125","226846138847975911054650129656588996544","42848998310088573720611688750095282683","218071334029648994107621865435989870962","146700330224800730108582167846608168261","248529106100068406534663167271290624853","174996864248374372082185735811875946598","114282938908552249221497954493135637601","216729156969018803967040826518678517006","67019431004746213667369639369303807762","125709172536986123001353815255117456915","338569335740258475309253148254243735713","259643678545137920889583056147674041515","249504133198617116188483591133600148310","302539270616206574625748608185045704982","92397651269625475422286479741799472998","292322516755108321720617233349777100262","252696830893844785311828299633262693064","79778436985693247811322704239298227196","14950389561871463775088441837063230260","252677642994663880927581823599258686247","265470385986149652440195864803046627335","294078794281231685280972941997663064602","161291276428485460959650284840588553291","216363208036090253342500325529118260869","268101458993973946548122191889467090118","103614532791985964938041205043626811319","115349624644385769004969905060517495439","99063812112067363298120502028059404462","239809083654243921968181948590931226924","141944420801440439786838659749559280525","277903105131705056400064662334363685225","229487053013210417480039052419073025932","85087605867487503444964309823783674250","314977271498684370350006726504768661024","33273558221851184835427279342345434053","248999175963832738013168032753298313861","243066818203445174213870583987215251417","158884504424701464515361716993379623756","193898255640446875161963341568728359685","228101134498855475098612046447784620833","201267880391115598696750397226522858917","166086575023557995564256986792899142659","309501365697898441958249823112741016481","4478028058853027585722549614958018796","315499791363951024244928899905493333593","282488516453495106444365431537646533613","139207496883089199615599210121287786080","259276756461204601137581440499675810919","219259599684997135266782599848126506058","95137218730709391789515982120660014446","21210292777196901069705079402785996394","138559544471383957808055054607911768086","112455500561974458941742397000283350032","208565970226864693714895756445333844514","335514337929484442607980853541310009909","96473435755918327971824281630565217700","67346978583785542394274612217294012460","134529364359724324502022536822584153487","183736089875486742135014876016909369619","242623993822869688399655778989181556197","304241488484776265819628312570181460862","144001335508847583905240124059678508863","252906733048749195480630219497828150398","54145121270374699498756914284362299026","80628485698722805051035194091428513261","191554315227379114591163338033766972637","338074295220986540510319953353293338178","117225062668705114600689108956348353471","188425242830639061986087249207247349519","324409492756499879793932443902062643933","14926611923045287834180318215103617416","156091036000259397961054080833307363299","286038350550810729333959078644268134441","325740886923593419423950757440902620494","287597204268941862665955752316016811411","106035785489173207526920792412033855280","297745839195038303686463508188933488936","231313517146067376993636953927560976711","324178249697100433315661661662359489864","256306073105157951207267811041783739699","55634795442166111773041950064903625872","303561941765547343227468967695046158109","232851781717053963983469997254471268232","336715879831056330022583417224494121158","112611128005085064891583409048724875094","169423480853411009198760646488022069868","164962508552323338107665694576424835032","19799396261711841239124836656370283814","98740237966143111549970914767162738018","338218961056622420933496142523989162770","14807446013380921656756359916944660814","263418905932741800451954866971596431956","310655083199002071602352778599656718992","243853030974695837251465203642788041149","296171064285774764732233742744059143045","254061124121457939781274931791362384242","149488604657967631841111174721429389804","221893616614343848379856786121024760137","87948183207841982358879516081288361618","311640025241638788401258730780890367429","211967908089427332634652684537296738597","64238107170586744365735312909127845123","60770786025990889811807189936510146408","176834146247493120388505076386663073177","120619366659193049886076201575278772731","274737917503959049557353742347902820301","221285050311413733672945355078024435355","25817596074558782408286296826716299653","97475983872346535198165981021155541370","135523213791077702212408237268205587250","168211936128715962729271455908026967074","228051041849657278473120497813038125969","198858352755674916334089488144225900039","7649350089483564183943800071845871797","288595406106761418856806248461555956511","73166935373096676493596487788607463308","195853926026676140485622224336583803150","42015233505840629105715239615864460728","100413011163365345258838844671749806952","186541614582406960288728571244886099642","183285078786729403866816405301305962879","115731561894397286349912149861327229785","2659180143938520749136091878320362213","224070329153332968296668804256742228729","2256692501201740081004094199505029288","111324209498117419090332097974179177296","55092295809513881454857609444611629284","38861140205017751017233197072554884887","55944381498400150063306288914635527364","4707315637763149407694688759965028329","228055254815217144362949445942048621201","253725690274171410503630798181944377603","14027047371663888372647291710022498360","81674653554789224154825693423524067392","242591601180603662742629127865608281761","294848695515944319211358884825271342439","171116899328008097829681274024712274928","326265827509562828129133480202618315571","220728271844773868903227260578057725194","152167327084421955117496186112791846344","65125625829999864779047924789429717854","85714998049960737388029451583299329497","73752582373452320914441062352057252445","178975047499764529333121138918897714106","69958020864215251423522022023412191753","252275182029932455011229938933029486425","304594802301940141838152956236475923814","222170793656997476379636429034551746683","131082639318712590322903777574899494738","96491788131091027912544949695796639826","158319917081336253889640404107591521181","166212708029859211553402435019806438488","86305022562880509271295226399841136151","299357971591393421926147035547790014121","100241506146339300870601747900949964711","222381145707461896374265842729475317865","241449513961448615487598241399108209797","23675576218025170278021562203175624957","23258241521694825193372455065907421633","155347798412448542125635720771301497471","320099390610593039759700347430958746007","331001843008025795079190847108230397452","184148088919679695399422182110065863022","325470665851343330255682799126027727741","58667420901159271849987527280570480945","292175430949476398586412771118836412818","297526510571306444679180478443576868595","151803880857572349956400987942202590460","118635696274044615387166999093015509863","280527289465042161609357910188486762350","138292642739820609558839541116723666136","215682056141225016695997590040539921959","104908203694223758251964657019776839935","230446662722216859173316590764761474703","311591764724196135923822751949556889128","219481178943141120366515228217026427205","87817945533786959346861959798719850249","320986833826667768236952580931577040647","100193055370140495816079099705585786645","24025503338202195677510856432820333289","62999940541875365277723089803651769588","18411130198911594110202850674492002608","198291016430597196242462343225005753015","249760400962529072383899399251456165558","169442372442732409849415046630840955749","329585318257174893859667809257306714622","266491300370066010289576757206359595850","175426895523536497382301691154539617595","308852771867276248198484290258017642387","248061892256170873918510157451531936373","283694642739084856502340494873874738130","53800200574393952123576624071496472205","141501249794409035592727419889335711538","320646615130701017734244749658523599867","31247953528147667972508465510539028793","173225037154886783303875541628627313639","150966972058139195517301830637034752849","124841156337828499379163639869619899423","110834357146318231428288039256651976866","44904018942091281152063888434740630082","333502216230671503167301122176845854463","327632616056075658334857230622463519580","131339413971130863618295013637446159630","205665001909879222065998333927983943651","339763332427677737286515813125364792632","157857029879478997072884208115353139238","102458599561234854701025717422908833576","214024512257660611195809419211569145210","30239711538631729195810572941721976611","308907278369631747389770341949724804828","220706661731215504907220136171161882160","335354292235155805176887619598448224712","31964228423146655053369694991077397451","40622054990477024110025659901372617641","80236531444386222231094403011825877329","217441093718279708217610914675170858385","198308019536090303181293999057798885005","256149190393057085255359152470064426509","126099553128276475631523811925236985116","256604395530115848979922875564740730800","232660111574982845402103808105511064399","106051228084520685284898731895966666131","272186031213154496735962858690420767192","273928512398316828646053845437799511776","323365612008153211566268857969452829721","69875685048264883044748441933202553738","33991837816518055503277731205747881141","293992146166636916093348286949267267566","142543417928591345664199549624061685992","204204630107844263146470394339932059250","328399613764945683781648934398082157072","164223828874518852037407961070804646911","111014144054396588107817100312908319963","22208990336135881431644387325116810714","112746394609657566934349004758580320287","69874690895029828253722377772131993498","326357434206641791115048930843887731525","326678653089768371867453640432858555386","279787247191166376979617059371753441806","95460818648053936182047388394581074546","75470827834814551830636865455430515006","209949643109478107721840620589381190200","158097769401153624748717098205174630715","278234087259235621149356239713606825318","246442419404064339172094448639783225582","116665734645847820875769237899035868284","301383694435946095429974114169100880196","64719086834028947730855949377305743487","153773402011440097215749277249032776341","51865578159215452172161470869804860870","182987272238390728735432924385731383584","243777138698982932249298570588335051606","181504233628937246199971162029658988009","284112609716872052627004289630461900562","288231721390812164737504625676420181776","178033724223489178917494569424654711577","5384789635665904343649750216258782175","48618185907479992872227734204151709743","244297514266156385886871597321215588594","107122478145163098195465114249902509915","108156141352532473507442668518625133110","146692787297450163896893445819592041673","99150206155413765007014572074810795691","96168314621770554634340953402839623657","265790537861549162005501032727878055416","174171352338158072437404900132071722417","192688435636352564748885815474901891164","87259142340052364130666731617137907522","237682022890655327749769029118351843663","287159781338689702411928570504249109210","36618503691018349052014608312123454727","214459370988085904285889017449332547042","229494648016550994916994748739871519040","307634504215117298579887771705480950501","205195873921345297568282335749546144352","333506136885017771471285586489461490404","46821013761851938668754531182018554049","163182665409534748344560806343572719698","75665221302323108002866731198268415167","280359382556644447881277261451950725953","160155810577256286924958472559909793988","279472827340436708804539637714260591316","320156514848308738390837012628314436235","184512292489772128600750656281119858950","230223672533740609897832014645466069990","222849904099932228249520514111417129363","21559930942881709240152663190594822225","137803508637935567360953292092065305666","146182425827116480315256577358760846514","150745974583410664498059274350629531772","295210110011447082417230141270789592101","241938142925843872377001630830269551774","118713579297784608383069972634136665289","163458901671194630515753608591137177152","127864395430155924140399854519295727555","329962008938040589976947610096846969391","149858349960822782979764335513549573146","245351392285089768693901199449991116697","139141748080136244496493189394163610075","273505403563789158311146601878343549551","143291334638470125010463739315141451554","130175771993284566016765838312046046315","85554325390334576289094913500067882474","87618096481813143740321624805756380636","288716528879971292802441081665089473585","52224370736553281504266192124879476802","198972150608248297659620511478471026841","70083532837543373707595368426957259221","316745680116930108660958612806032631394","247449922617060032811144631478738016325","305549455105523500729549745653992623133","330246580484508583044984503738141548876","197426785389388747434286265333034171237","332870393811495453859680712064375078359","113017400924760935998495936883070643892","324866041284960778769049343668081421712","55789655032389421120523442923645374281","12027857963566244466842166289700204838","229328713800817602251792733536316634039","6190903239861458776416901009122395547","171768644473715782499457335875429170835","39355967949017165333475426317647695668","78946444244983250318924510732099240003","230020954099050813523008233777911784056","327950581263873013488499878246975136136","62140510341704062307397973025445826929","74473622461998468555118628004347705927","337059037198856677233174095044226872697","294214553741059749245920155693526897604","339752315086687098800126451460228343028","115900282320232497689511941155073128061","242725271563836623949533454578570289077","30609182515991919186350476059798885989","165516875489086740212169300465698062914","45013835605034257530572935513185180114","12623632433613441778628374805417348202","8755867937337713477183402459084277665","192248838161236257051754118640177003350","129468109403286137522899415714118147131","157393118544490413886532143222401123921","292865944802386650034968847746069716534","291303233404042796194460980348134274505","28134377779343171298080310115090102689","147434848873184411412720402567498745827","73153109402948621289962317182270796012","330960465036704192789705173594629288442","320780648424931979817742908102315369944","133391989595177457215942564280906617753","8608885066234467681665266257151294662","234593944118462861024001709035447215796","53035046023256783804123272023187705098","250633273917986478008484601024197222404","128430214513988457179966688827034356354","253755743794917403011873852087329707591","289123815251559011054505743779910374334","98701761288230376115094628570124448897","46255455207748286256987430673043558662","235377407445080337776636268416264730493","142952824405088921212284098264474548596","214884911492009843337368754722994254039","280931417242592610418321844222448839717","71298748374106656666942218113451753497","113143626590487637331793288658852412086","85066276315515691987483948388154895607","42960791822404788600476514330825458873","195232624861130707658264229217898976469","267003733940141002978246358348813580475","105354972937106482023642157439005791012","114575419082689291774192507423168465115","175715431044911581237073215690699006194","165824718291910941309607457479986891730","185978156969245488460469156689461441997","184855629882568182627236154937100625781","334723037315856381386768968279926290728","148380211950082487291094623710697043017","153863323887152485355335553775694717491","63883299056718800038525670977711203605","37430571896655263014133107253107361412","173497764158959649630984299438423709603","163214178466868027269840607565948819229","262592190164480766334229378704050172040","327175685754055491338763933160938365069","11980861652507070474731653741718880828","255511944481505312427345941890249890872","325209711617054942105570116208060458401","227734821110308479179015046947273315911","101279073556241051660163438985390952199","157790347818162919686486636427011318622","237781947037482036033233929548429342665","215795898579918448781350988837444394396","272330131949309901589859952496830771152","266154836252253580052606979607178185349","244278038403977716173372049541403382756","200731411763972458687692371125613105396","185056165908980501759622493378363360916","175816758504117859243364169592411397065","25963452143057829113461968371893745002","47878243561128107915368499952894403791","215011312283483995997485014388931483535","64017364756479102844280284638806773068","229656424739515276416961514729661272013","257247234682701076561655100398854141736","290386081378208949972343074524257167805","29645119619803318454217191542957473924","311320009902433900568117479524337886754","326193072301325323773702208496177829823","74022256141657123252776960184323650208","70140675196295054292652995259325101543","16576400383088188019974036866760212104","277128701005787061967270615223483472203","114854117242698518681600631554220562279","289491903918599207849479837994748184127","66961385177596954332519374783790369291","202217027797674425010543055085302799780","175883907038900173914280931947180245471","85866051082693619930176133248309671442","246768678455960656918315136808516101060","50741345746285445180632179818813669931","247593342102536784342313032578855740596","15997047232028340667642691623026777761","277854007728154658582767103471653429474","89632342555228197605703443032996526054","250085794944408114828149510545193203496","255098747710656561352836517601087574952","90359100800687794425338473198791597367","151228469263949885345898392694013555159","86910884364230212817005914332531260010","265549916465999147408799452484701775969","112116544743503703421366908296339347894","205175019085692430338736691355653008825","143252543503599104188120728581056857141","257572447274055206548008844729680056437","24326600568714108940333094440473584831","315878752258676413594514461885029720354","116442889423534787285033586668305362887","44321939307868368665229054223196058221","225540582443749423109106026235915019841","231946821656749203315983107422403921196","183103304620041357920955600692740074353","74588245488715320958911519024757393068","170121454508784362446011557415188799725","152801789813481661522964010594502049447","136592985794296033348168155915595627331","131383680912973719414969660573231031943","144935300479863943642944296217738617025","321158017266782587027875656101996434936","216422925183934566874515666737487736376","308672654690633404115670026087903795653","169380548205896804511266608092981571080","167555357731446375050532881054135143999","314810328710104637334824222588055251943","236950599434450896992708934548994051754","235734468350740719451093790318657617765","17518647010878645808523376381696911887","128803595041254519181080913076791620229","90725768924261231325397864227075137647","294624088499737601323194076845548071408","210679819898365710720790143511806130820","292264604800228115840332159544699274676","142206210158941046095442208480556785565","104021912729864833264381324295724736290","149056767464913543801872568016529800267","4972889902667934273806483649157444117","23552450030462692473978448031815932783","96254707729548422976595533201819087461","177760509364046247046623941351983713980","78580239236149144968950609752673254062","312002324653857096566981372125068843928","119698528602780761536222762435100919765","127668750635735447754376288443495983068","160200858272875454360416076483763308510","307637436831585220845779856470419095612","227139088935943879044359930318717743455","111224693912429710707491382313469336903","211247902215716250791574582561763308599","73148329347638800509131510424372972569","125543164933312529344710230874090545647","194188697800765714438552485204657906469","28858961625818180067955089377065789184","223024854458934341317648055845071642118","41608228733809649618035592169034875744","261537727251027297942179222554768308636","245928772087343724881082057928481011046","192464309751332327025634547243122353653","22457472500788751223268227504942728526","65065472777485918111138302103773286980","279014961781778471802183726689357741416","114099579262626472503385353351642245610","106084866985602741725343289055181849869","245663692651339474717811928267608466493","41643079024673137636432593175968496042","331847445081197905774903272029196197452","307881915330665173934565945624571054501","176501145607366941311352457104976183360","133810046597989426233717129712645847745","43804792238646156932300284245055206697","184351833251078469858768025044893677511","99088098240650365243563835969250281842","260902747092884603197599845466103368155","136072414031856673419076823614439942108","306695924135639626930927983140777760718","51136007264800770249105206508510060573","235491523202974640707182873407799147023","110054119882423805935252151756758355342","136295786588805983904951798431136935946","272613368494364820803066308991328491782","35140903336009524208178756445407707804","15488650212161813034644886367389920662","291614200056297939049364517707557090239","141082954624661377977464973717294091796","270007106713774819219434113369504358174","153363930151254942204574288031389840359","167362153993608037189025279014254979558","222339613522504738726014343509617766829","160724110941593483411732081063886688767","139041786779160247775008671374099338819","118155016430178340623271241782348119324","84003159377914683361997047380244811442","221967899085637181316914190892870804581","18047793446314279135616196013062939501","115002693943344811284930344418805435305","256109104592618194886670099535117925255","234655246155831560573880030945807445632","55896119497546238497764592927069739277","168649284555598978244158265838965611856","212225090844102578552659225513454702562","145646285955040329303252898543815737068","160700180952739621476857955979487230437","304878546038932710044877490987119987826","104492885759540852389389042553772582881","75060241513426731310950263348375028922","287048142594589723883012859432727013297","147190785464239071405250310458525616935","262619358128413516704294050758292732589","77032471166098176440090881315064717320","3490810438339645084281045809896682361","84690434111992691321892846371302721710","111506764845913587673596451582446610570","255780115286864026200218887913830782647","97365999890575206293618924265091038716","24309551788349317636307324055852554344","715136383339796032718827737209014872","48219407989002673639865302257961667483","96151684482255114062027007668618151780","315651113869849709698698133217036792523","331573252907804327991322750152665461491","197078562910573165317465891684948503965","28784521866758454497958481850462469200","7834280832429407246635051692000462099","79360368023425553403717522266540003143","254879243644063404609297376539384391500","212148655462209426689385248206638010430","76046712508512379910934272285742568764","184847736537701719022887129636989131324","35329015038635290081208469717178040323","153006805476408902139073581151280659385","290732993416463447186955895305358721825","72594222153110982505629557470823749264","91759211128017024137087743377521547265","13523626560337651217430557804076002940","143063431892297891171705615873967010918","206215145232737481883116759280769314376","322704188341128815099849523259992654247","112278797928067557454832188283899522434","230180718380439303059866428285292722459","140655818378618861222588416475922729008","284440190321725444652819930773998260510","208468393951611334532813354233087777940","43805396287469481377199368268429506134","260819183428666544137132179651947156786","208761113772330820930038734570185210730","71412068085423945062239002477258766311","235103257669367866157558035586556991","187209706874795460336874771380574585672","228302911149956857220331370445278881398","28033927433710335108769542054146913356","93378790252168912124971660705164643155","279723431144902003214353470198723883317","314188389290294017832718616378118590593","221535260108181885980355202257849383448","294133877319247489659197927997415718376","188904320270061873285312619885508732926","113046415563272051748799572678203143591","274302914302592849929300545199618912179","83129707761156352593168784697646363262","215390953077734981730757198155158713540","99768886491647979413155247219018744583","40858370864631973830521079753608030716","11307430450925585830822707889837258465","129372057131505038357649071798899924932","318304563442553344119314866012655674442","306924043544870739093683031526341550438","259286737277437842042604289695844509949","21604150262307172120544626573707767494","249287728555820352653137317851266987286","99008483056403542053909802363193656638","138354547214350397205915928864111798567","62978242384000863115582854615997198789","307948741385618826788572902895343119536","176940042383955216718208406765469075642","35600980528008828991798876592238198998","193244709016779579493228233082340999443","74464761991381221375587879336803558501","310796903213719597897121809624018761928","275905790492610448189340682323360327277","303102091407490106293608652650411658405","221951357151347332953276498186176883449","15710049533977273351842004972209743890","302987951840720008977835645403485886554","35457005477496571658611542236551656634","208302824322127233372691626618592568435","281334429445276412181130867848457558957","99734401328651485552437749314122656403","276770447077549644378001258003145992950","242055622359892642600561041012283174704","231757872849825193969665848909706514945","33759254443610431897431408108027172644","282253460553824295780699035753378728310","323706357985917755145724458336575971307","48410348186878597300771725017163441121","329730782733282640627833395862820227652","318486624007372942422460481390368332760","226800468025708859324319825420677430211","100283236094903753005783409614155381314","229247743409429608431946509518884252866","108112204006408965709329691085796762397","51098609776468908515765840203280961065","169506592832052554947741797567665668789","8286266986840075162101446158448650522","244490980146001990849349036066650362270","298424955061025433431389203484719324396","105014832504088002118955819699048494025","140437605455348894539129278622558486088","298454690089751618088023300579519851450","31116745355919705757833537120453226593","39399037576583466200507645035686679038","212929694592364670022030503787429492242","1633969300221086752791107380137615746","197376115440886194116574144358260301161","331831961517867255977235728640110342326","242965083895039224722628304653639810518","293261829032216170325574698227605988846","335978976950486385292248674913969691496","230662778164279826766206874294462995121","225574177561751819107474462100699988497","42873306268079927029248748836337345686","301726739681107428188538115124244478622","47617478058953098258986618692423648582","233455113762361103367889312804110563639","1087625851706522094426870576729698314","274922924523186076531141116888522426529","315503771438907739224593707332578885717","25888250611987750733534979423704505291","214556903391749011067581271196194701036","143596122857041287514177156265268382696","245168275477165458905296179542357335411","24773325095127006036078200367473041685","268991550331308802462605048377670900461","13011254837454054504519977659763922565","109400089201086132559832330475341463177","243974472857302836423167890592725229479","166959974835130717058819184785338354494","265624660784592622173515654087244509516","37531666265714571937165344399536626909","329529674518748622361636812600039821972","177568282479782148237295551651631154387","73914512563193878212135478314718862718","283976110530421578057913673736335372495","193778745147521295428985856794972225289","278806943698905946417560974482520469296","289946156299751040372128313514057061239","229095470682913418988719065474502020462","148891512444706995528553270227863685394","317553466895636136401533079887867827552","56189724798494976183283572066149798127","336528909708442803956438379483826330619","24112219149559041923715469064285480654","144472895543635971859001976251942510843","22342097171799358421908799770349018630","168216111311820332945686347582053038316","142016290514356411599547851549606332136","248591944646905707650907320645087249885","91245736881309139590012460372806173051","149746253431921149428334443137109513442","328332312512360315590924765636242226656","255907553368214336817659424550266889856","289934404138205373664241780397372904903","285256544695786003445964369635978540651","5408651056710505816876276048083739751","157752319404557292210490557933068194484","329323085649395329083872768089935066231","156139445730087173664758291492648830261","11539207979164615815458648884523386570","149401766153335559902958473616250471309","89535516549871661509890895254452721627","200628442946360282879416326785576839301","7578865838092631168307745360631834111","279858804681543222712586192765427493974","294058416393698551600673268803301730230","137265517586280665872696253780512278459","102284306687223700510926714639975590009","235299962269749651114898432411758600144","46446704203761435948245431678694065332","113455535145917654595123676486583832137","187576507387290232432556369157833992016","55915397963006628073966462547893168636","196805068623840637676846453386878082165","170979114251525075695035124289011017593","281451227311890504793676070784777423312","78061127476612692275073367158720503587","217763499452971122869076024248386742088","103351284491910919841136834449733828600","100474389414462465197322756283047111722","110653729430946228826697437084653333224","271351417207372379801502559922825069674","278076923645103264314262909847774560250","299783149456901389887756452106578181344","3511819128666075734313145930728944353","122604672683412685056643175059526678929","76334454634286757191427951968463237696","334790556777826082116879514921293524678","171818881343889917317087263824768734838","96206346037157697657917913017901099146","138652814953989812817378602752928919623","107738056064054545787203125174148719137","187032545358440088346238950541427437947","190720233049772429191770519351690021204","221359567147565020700669718318889009487","269234922458897770626629207475739442982","100294167160039283127178290404348704988","317054924784636519171248996367603059771","159198938686341174959038804801970837463","145973437254442191315764286542111079150","27327708313181486982442170283939414622","126796302484848630261461862056118269437","84879186699374517026484927784678349065","292535568122137088789712432309645130229","246487206033517289230570047259202278999","242121404596815845203307850382376849934","16101075857637775620887392375933335705","103553152533164750579782834692222325298","187064853399256054680940540876159613200","81404651005815456378509930488138597082","51565963411871706129182230721724751526","130894939590033403970058156950734478349","164089811424148808024845336143620514420","113462745706016218421365399330228814309","319405762137703476631021017841301711645","70871802713650569687677935590371588775","166317745077258158301463183517287482578","145157133924763438701816733698299231105","118521708771346895603131115595885549729","295631321907989859564270111391594304898","112005816692341922708432673480269506449","136244456409637467257357790101745601227","72049067392533648288745047024865142690","2861418968626481152234957444862255196","213850493582243643571387062265209157961","98490713620839126394428549392236932271","106167767316069101532335879280700317384","228993617309234860057765443285733877592","249997563995044154549675460599341587285","219057722467580508225369512684539493983","78108005873708354193906353084154863025","121444947866548928384305021941133215091","89454032272809327906683774545404933147","122887894522184846867145067162753387371","239212221977210003916228559638812945861","19506809955215837011150203410476653223","333356986637426144084459797234376534734","115442137323206276123263627795388350446","284394611253449623486250110142438849422","278880918338743601093344204512057765425","164844514390033660587148457524174125914","73773834378920821811652432985955902258","85349405635144097119891877048487770147","284590396316178006660799325327922329437","172995171445802278616777755351473723055","278762139354500114318379144862375777691","175612881100640099818178611355026123408","226174120425290603973402540221038805849","242095582754029561623202159153075635304","191930197718805350936909760009551980455","157704271375385534139511955261827459675","171548284970958526714960053330460803818","280433309473541952619322301200080844876","167397549132758415277640906921504171961","30920013584019719710370954346648043801","100893253810314816873215604895687595699","265373339910440125199539584918111044168","170486833210595831811786366879201204945","149449492224464608063033098521658108640","305596248592986720979193291143757228657","271048650601438452048250617610761210721","202151606380504329846931067099119616681","52456267866235838087521700681386018515","95905289084524168691379878161344114408","268015441253161225964125417058608623033","29096489039337331865129564125891313993","269973831314162907057531289926700030556","85303055733316810863563821545455360343","269508663824074690323881769998658596400","111578306142952802526397554644462775206","150644977800662633000042467218739093179","271250771108406677146775070049778783146","314739351242483434703955069792932043790","122161163295625684760087773592222881307","123414477766911197038820142782365862271","265572631156175332824302347332168872745","245606968690933776056669326060324401323","254714620569741602312542633116811948350","30178506792047365248100365533840223284","50981445524646830542243224472280615636","72637853147608682965513147367139945816","226612953197471201737509120264668188693","150651034901484882821685147818541267718","180565034622405936352451745635545308971","108268815780658675182830809223939940989","331580772732683930421637266230786378530","84662121869419653678250346506356375755","257491289384875565682192530299686274158","293642340613435893836320609498061351667","73075392773646837108275250362244537169","16531132468422362007555723980557990756","114946909803031824557793374912088970786","79992932614653494966553823488754262525","28319728672534586189684708857982759472","18393991919848825196887699399679440400","288328232921508587930958181859931484097","152186956577008664732780998928470843943","276379831193637469663036315974643355125","32467145056739196330911618322689546008","13263917741612548848265262805167449740","92813130117491344227189311336933139694","80098443338568321298484912071573845509","126032549913583948954772127285388342816","85694638968082214171823952521998035278","172149946621369864763309357447094369627","273706550742803583238489646975459121834","332320104948049056732973610278148095523","210589350043010481707942429743269692823","37308339304024124722472329217857599039","183375990867342038713453139801732842095","313024105744694341452115375814712308471","339198015879455538187083500316884917480","218710239220591891214756367477643862936","293455368840956252158401956789899023093","48592658371216208363688116310737869874","104807382568537278388213356561332306451","155740389022397282368135301745609246911","52950150315766862291636510220140926136","217871293279839485762102946733919832851","318067588336518840372322083620413316331","291371589507659714421176773517050224348","180201788491666924184405715361124297044","23108801028015730564430339615369882696","35911779170804183622939557189737055880","105822320335254606333470382059587985543","196377485552762741967632455707739477440","59110950250105480381012799634014779389","93831408942199425541608420462572566573","508634434334023606076534155300671027","204812745760631360336649584804609976771","330158577520165131047673221453311990100","86176137731875903722206191734512798732","160603046469770980595400217031580774965","216383345877283118072240354810252584633","49114483783312952033215371204258607701","112326190030936332601511075754412488697","242690206764213708550265145518534475759","240938863878993117702359289927337584705","9290831410071241201299308337935800060","157211732062806698781808791073113945996","173116236497742071859140788949647164913","317898043238415623004869780964481785867","15188230408840087449491437769387444674","132287345312027746889972951169502826175","75235774936969865906496653219494894641","46057505242595469237469165004362845196","135975832641725625437690261825647964486","27312913162668008739214414484379166033","309809770856545862548293976542114791669","103217323019601246702162698842235428325","10258151653828181486797313712538677314","125269092474288659607190067266131795955","241567691099046843197075330851890346994","119747479861658388166248861794142580555","219250826811898488817978383381607945763","123322687945971623381467475654916642424","20766733740902645402583412408267986403","31216878589272385800406270623538495794","10625101288712674221917835908994290641","231815769112686260676026169363805364131","253033604673360631105339622512312357469","29597891676988841380023228380470360616","285160272572175295589700822851366277486","293019203851038145707393496538983793763","174181401173151858996791123292004975473","124509402072576949208087394981141013251","105952772494032720627279215869688135359","271468721284531336604611783832249976864","200374817830336887508574836981089350165","100957991758078678741148876262081606481","43783251164022762020736554925683539780","118006654985530598286513541552375032946","328252963996956162465525765871761031769","81730617706255416529736794227990182857","140693358955039755844089930180822193021","202238802371312712227917140145022428699","255898991312349270809534994238908106383","258115598852684754268860752875904597819","306202252289572725419332274246195095189","61108884111538247372826444622459937914","251883967599450215529544800228847078331","177777503610046066115002183575268875385","167618568122274376302104720545573498305","18504002915904308316638230768604012242","245244348302678771422112101438365140927","240987529976523077750409791239020414399","66870130169356318155006717211306526226","173287522078946932945994913257965213414","184987383977062668239429859049914745279","251711415713342800965074743620153543415","80985626742968953839755950605563766956","145864881771005794440568917296882739257","201881603669488412589170644566378763536","332161754167597771642646284411538742912","156627788928868309837909342049563292537","193145495464888867979873933184513912006","135326212369125553855914705142941737902","202141571286786574593602910533897929361","144669060265607565977098490652877509139","244521902587997568745198337238174995868","156768409178470368176676060856281569906","61424682911287601826489314784692858158","127439009331021813756631142686431845920","177595893633597943638659294879816076897","10956911327649216072988858459230328305","233116431581010199862812846204304056005","140927770819087393743863913153099259780","328870069920210848051775665991634321690","32389146707920982199871190960921142131","173737380805429241013165669435021773941","224966973054419331620899878493940989741","244081451732968299179957658624706311224","271192658967791374697634100143814029069","25424168009216049859895113100941167526","80672894944184109858391473769770107858","336703100010272626066722502761134311978","77694461123573426794762840689813126192","300996207244413718682012021928879966930","132679794361328717120526738307642198332","90067751311274579304944163094309481744","137013609460167478753361530526185176482","145839544922830251714230558216567368308","317345484770612001389389926213974986162","277033057461631982208150420610511607497","30443530007490520500785008402854841111","297475870106507518491557783571844269267","87609197436901173167363074865330604053","300971851575428161365714865090426792951","60247764967185800913626797685971078686","188799168478974505684694761154639775900","319293830287608084804293063934383167354","218280327981904399972300961309339271270","311597238407500128239258467558682863089","182101855512126019402419516444817045589","181852534923711608265559713719561440736","317286817861531495386395046521532032956","116744031056020196489543294772630488093","136720152133267129625733381681313142479","32041906455806201007676541721726858602","33485411092696584569551480934743474895","292219872437634372570441744346844718926","76761705023265918888979355523370052611","61739850469368299698776267655693964857","302552792808875016262871688895483816637","228235953275343970291425452637086868101","310303862611998798787238256837319486056","282145420364341282950868800700354878066","299854535260241713098419688405950038968","205332027795433781566903746980062902980","118582678767106848788800525320001055073","84261984872501285369362532898272684334","135196877949765953551079279696731261943","261115080270270622020232160071279237705","8790088892084622049922296475023369644","32826975527280215556788550755991348158","101617194503990532426789701447867861081","80419669317620965814310768433156789992","147576201355791278153689821433256689964","224250872359348690936297461091110843383","193774202108389772973083798753318247519","200561666478910953062808432971544633771","83788652935290913417071265896710034993","5988879210393459503818045313502163172","320152976938368653034348033684462995898","241033534494003538860829509769460978643","228911205523835757499954899558266589718","9570789153868505265269573644947971858","87253102576202841001252523449939206828","79363691053497706195956024826795055298","170543472022194176139932715056843110671","275469220223595904617700456352529516761","113027643562089128539530298178105877935","85824296594179446261763168583395565038","219473063260311385504759099085848772880","123652906533590598436566905437721282559","87071243165306620618959402412855181183","310152655963899577283960906792711228151","69635244983094837102055191383879282675","60515358874624484791983497561890010806","31632689861937849992581003110027537954","165209368409926079857565480653330542723","67721905855414628861394452482624715121","142024354842222403860062706239109532502","41709733311711374561658498784624243806","10995992138795584057562215855845155919","21573804216324307390869517981565619000","338644846208650571673337314001009589264","31424338934519017803305892797475423704","195431238493743395238178703172134507593","308240099570723486664980253397871249478","159295484088604640864947611914279139815","143253951253342707074580073769423984768","248936720930335549803423216535437215549","302896817577027853757331032421871930168","86217555047174628935540367647113344878","39859180291729973606640461253892867794","211792459824881678075692488824092041888","320009317814751031830774361482213605018","316283551092260592404732812242003505915","66043312560452568254918170831496769156","194288059862651541790671067182899276551","140350751185117603649157513990670755923","305474196022282627159150354806366356448","282889032824344387390931342960459270093","114340289899833859073175137497230898598","157828360706298335614184755293522831140","233547694598901466300017080868097377685","239195677669440090545738179756889540107","48913081694490723248434553958803520072","7902021600333533228558688998173727961","2283325549125750619298821695441488428","329805113714548392834345339739292712835","153858189716351256819446246950214489721","304709342226492075918056061762074651776","286534358307862321617475521368101768522","96295024319815273885419002896194069464","278109599001142675791682356429932546436","214400502684642857894758241690443231758","26679938715125978692717780335427516837","178854236600369878111981455866688114630","113126873549102394612088062688701130270","276568706038121241503412352070967374989","174886736372081227865027802065581789976","222676591335110015043625669674149786546","320202062848161047301176293006953443006","320723143754683363288408984345702434440","51846898565466001132004815938374499863","14452549605340626343877474542147944845","156299858756187728237184603277399724606","276949494379234902555485218421655393498","301115804819988309299376157856621736520","233106257022473114909340866739067378029","95609552419581731414795409400356309652","321125795266307451369211677530333927314","183380557380323238070187871193004839239","184383310121509465969950511582830048285","333397573725407067517991252463236803648","122417866336459225357454433884041003151","4831058382659780709618984084068456973","33035830576158558171994399996277275388","40384730806360543426366115530081263990","67157316140751230258077419661015965472","56520318105157995555294195534448904866","192830336133870860882913237941914700096","91202391389502479153780998185178966154","27260452072812533403162968636381584407","207924164404160581451210762618829656605","149473699236541250368357181021993915723","134664356713042405825465906520278712945","2462938306064700452583556216762343215","312306834953208874956910043724241913995","221692337935210738611556544351858596981","262930839785140622618541169264331587614","163489041824088050189135007754975125007","72539504092316954421372219099812730571","118271368070362059669395623770211528803","309501696205609007352799173712785827011","214843594949325001744556010275465660260","29157289104807775713948567527338757239","293675003880157230565044997194159561826","44927697874794478706992125424741300811","111876077033744483610970690447749946001","270883446967948946611211765105503592289","59063851635475154652134138260709658414","137875572596814490074311372424579775735","111004005190527363384517436447442493217","153580852482904634358943703348814789690","29477476685055768044833057764747703832","33512711050120481435923902434564135209","186071492448190066822956849802143511318","30215271082455919853931777277230019474","177639443986793247844362583656835650956","9961933563011640180315259649611976963","266926456449054479171638497846420692234","320930512894717365891760587954567513019","78641962372916179315633191118770160187","91820320348299519167703159706156224748","199187924854382275490937252513374740757","251162003775268890430624857872157638749","109013788054174716150552293353693988605","315265848324074682408587618121857311966","177568733496100437329384175683260003016","318118684468342480386047276433546075605","133300224525882907330452947225782923551","185712700665161779129607992840063940638","181358843900594365498901812387818680565","101423733377554558794371764637534116719","267435386565579792652401869764099084699","18882541038694935272528565233318253107","181933859051007976027215434040637511589","94199289040891127727443017192349916717","250825252753776806461881937287398889293","289387935851335995027507745262074412712","93894590695368408811695283321326689088","73792754550978784010204374831535508684","219871095104991226769195743103427973071","105988310483456832655254053852749698203","232406612835412405047056858247470238036","111534831680728168297507763104751601749","208861727292456526142110132361561637272","91567967852198125095385496895403039236","166562332681378059328150752373362341082","245941496696179002756864112059961337293","107399863116092836920923440587404341596","283736381710925886792298329108641822398","164213174249852406069209049462174627414","323785568330889494657802767214198094548","243301288262635822937995682173579575740","127381358571478298952325414108050779488","322933572904238586487975396198684152520","205359750547350327158286329682313781639","9989736106999648973037052258075835664","253368044754721417113563489528961350146","314183815190586220275419475912193976470","253764404818963948079831114236256749593","61491103594067976266180842805940591998","204124388597429903748372570835069661442","310321343196443468232911754853403566572","218666838917665891990142422974701263126","92311203454854056693638079883536817172","331273837031028796433265252724848793589","248937852102229957182826899095498885974","189034437253004378622608026437092936936","94037802673077911879650457563193959056","290314400527436729580721877620329297687","329273059258033464636226641235150016235","195792854783166827130261185031448116322","224553333758530912910822039319862432081","43610247219767701163034089494379302898","100346554676165653165615125371136650166","139301095123228452055762644233424115757","142431923640950806033587843793528619182","185330866205860904572556693557915510435","42311672746478527833872832768824105517","287415646168437215353990013202638252778","323649747876584068977961917524635481402","297876745068864276706573794426201177916","302396749642965056088720959259513133794","11913900165460173240226844275535117106","113723491590809946080575784570693566312","65788551657300921644545816335528787091","70613360519884521860576014907825417105","206186265142049937138230249341527064355","117024200688743382157671691335875451142","162497937520692256149580258620667264311","232733730201018365447826033001462164219","118394373126891531125828635932521274567","223907759440318655788983442376411125103","268784596077845419225502277040474011521","133374459396074317357910494269463389203","274739124852692034978145941570664771559","269612115173885093676282268980798247841","287537304469097102553351593737182696244","73813693111975767683242760298770420848","311123399477596371092759389980810123123","184852506854282902349408207694537979870","204827439016407654503802068488766449190","338696093021125785411015397570972218092","59344159213249040974407241696100936114","296682611643868033760075592093093788140","151458118829155436080920845164422023305","142826932249040026352642158186970981916","111339159753994574146364102794353001424","280783969397049731079421072095180138935","275545195664600944096427458912288367491","67899619682539599386057796282541231146","58619953690748603649741286478326212699","154748251630504247903224047998426053519","301056486368364953369269923416997039142","101540801959894100932263476763479913378","320986479037581872578194872338902363516","110848691459727761763192672989240011141","186807018470527159929948349993494513354","259039693448654732293109385386787627995","45097203868923772136314579342732429856","145101104576581939771867111794310675825","81752191143274313918639742163213609899","259820107000642704509910325495161179659","246594163720841935714823454714824160976","19267866361433299609278300065320030802","285213441487517225389845379867344836864","189783707109115081382889807542973830600","275483124212823778170611919303790072784","40685504236800458355837224980020947970","330652266752115625600023688914889025723","97692525623008302949946612368676850684","109958691726667814689705749744882145840","180149963239724425322981866475707594413","57492512386652495080062528947785611649","335721408964783118724291505221736362339","237776930992869691797441941687986448781","52908942379308833299478600131069426920","113567934583152012761723305280144490226","130142225895513567876087058261389317902","13709104080688977979141561597842758467","265252764956777870825894857032598278230","64893033672057933409212327536839150284","239064808799623138878946458321427029020","177248418604788584631982030112995903770","192494693498937601138418304134876788135","192064150292547311689082011758803625013","303893371564280327358861810268613547898","196572922485961188018825616986418547981","17738601916554036718721249684397423096","152424919673387816889212248751060591305","207890534196739984988962558542903727584","220553086249685162539644900223736085357","310643917045026227643882053306027244885","224165680157080858207180917230085648601","27995641834019744604984484195593846117","4774030058869472004812078230883633967","53810645311329329011867552245284997474","324745280738146680891104840597267501054","83144256345323744932459278778344556302","42156993856746421179223507776627626889","315780543465304626157706938297984948101","190644756200941443270151142589236451853","187499899122971074233271981312517284476","126035438738658895784250146078750294830","187720025683165770261242452471898650895","183012287467760806621698820059718424314","272010648251582350702184980038854814671","267857064272269151849654969855491511836","61399342433598015168497290927089033123","149280283030981424162916351884704730591","188504321469241217931299004330649130146","158305443242561451775341397203096618943","267193686713806499097255185856979121218","205815489339220329939226561237759517497","183506237461439136680594148158812246627","296627967689901789425007952896652022164","327288948051220489579690930043609006794","313145973621978846971365857577405483114","173026939784047580714956521904763538501","10588194555229131266137857203886458445","236110479596068015102589627108938536551","131266274219495795000336860001855496405","56385938438972710588455582847343346915","323299449194767541663316028658100146489","15403439085463074470199444344621440886","210456890981548853585584730601862845940","91342601633601328541542389125067194896","116758710797497176985372365338517776245","207586914575008887426455051230284988818","276635388187061481870272474910098556778","17020446083989677139261710745390263511","251126665776538113306699064100187725257","195279439208163939909587417194521678344","305348802596628462544410714911057706736","280992799959602532108521196040193368123","194642721561316264439910160428349883250","238320460514598775701573658552185398549","287564035496495136387405519219261687978","57200224535446564895746647216788673773","233096396780601826607813833887453378793","254702099516159035294954915694142842816","275733300308428843429806326458178573178","276496439650252470716861046595034309223","268475001976579694246604792010163676003","153213371479473926495323257306035573044","118599896272028593217165525421501541380","327761669343784528699599276064077517413","22502932054980591074322054997622225561","334765045212930478256437156672217239111","260682089354806323710510241223388590926","3940301695390649592807624930490352777","7744337293992602735779279687261307151","245818260320826297944525106357298132561","135623833013094704442381529359658365311","121530372379556770890904519003061462619","10736073935948623747029833255138121905","29038022189862855337582295400607939310","273401883824265459391239864814533721050","179012120987670824136457158707178488388","87131936260015954048892753549711358022","31363038609390150209821705560769884100","202611750212900554108140827890229161739","256562088486405285923114456782044663110","280913363083004831319322835935088684591","22624388676696114352942719086952484045","274184471619198289880921641566626257889","256483506575744881522194771738144154507","17644530866210680773391313096073152277","339487219216667375910950410765141620178","1238098959006071149681672638099103072","193206625927930338700816425860009422581","224239828397170063911550663018655052659","17082803109578623001525512812807675980","316239658953860936559614749591773360090","320779304147163658123354413116839679951","86020461483478774693125209868799635204","193033354129852725577079803328906307451","140793336340137127358522482319850542082","254496297820287651882036307850066192967","65701040661453594239761914018059470211","325572880346182556137855465475811545127","199420891603220882460654896957796129117","322914422883918017482021764349259778192","114274644947468870837246707278364020795","303461170102512677405038972049611507753","61884545506933937607312597778539630230","197479681085278591581126032485064866287","155572054427306644249228979357275654098","119028482549142609863174914567405932029","276554168204329756898311042610289573547","157202929957616736057055459494818175463","326941000008389963486648930134824086426","204539685245382761232142001278812495980","238512433772209171972250928798841259565","25143723058159266175467985364392022337","210093334545447004955074856650967047329","167258626764452566014603455401722562907","213470341256835934403664369246609418230","10847737496996956153923073047105685863","219573951294214728757324356476788412111","339328598375770108628983737619993914216","35461931138362397853633556765160716211","134765163439049935589483207452465166348","74696001155077326617247178964896754225","94234986187540422779600082295604050912","337858272917102185033302088328900992304","319249893887080013715639868950265193705","225709161753729927098872359198150521725","98825732879164147971933678150295997802","7849794107882897983668353867993268748","55537929728437048237528792976600549368","178497000528821593763471512611531425964","50139891688300162777549743355113510483","306664548462100105067029070745066604976","27169366159827364992379367678763584374","279980686553924091432655493948583158552","150452028214647158165876399454833515503","129621909271071085519025051531480768073","92715899034709395008844222290770354637","94709389510706531847583527043548588423","102723696985999107914459142348016854472","86245493339777589784324962245913900823","114842102785831600922892098777987519543","120829645361197105312857252836430366613","128722916278450370251805973033367642077","236267654725871341963067609018359466312","19398170330944130024004774836329637715","292493921828523187847764563903250889956","227475520271294392592867494336177315694","242561661644724858791316537770852692047","56031219079504705614578805178517267945","10944641398187731610489904171890244409","220447408150000779648275684452051904262","59089644428756164555153027579547265995","139577564768422824981513049898568837982","71051750775568812506805554939882278315","301494403385828356120652434997326136453","222697832951513010237191234173652913289","44618855236480992663703439967870310354","61864896645714947841452645814505274486","189895415329679194273942439386255337994","195556638770312205588636803595301475363","37596959954589121709752608166635362108","157482935511160591171617115261878583281","46320697989528904778996780309363586168","65255081937355523233537268085015167013","156313421837434064518574307019112401705","46897888036543730422889767407283711025","181977815686394076619312875323124287715","262356154995380125970353861785063014900","31373919003661090533362247334929347085","136768413458006765496832757658168276700","14349126206456324929854448526880057634","312632329816205954610844147287190169651","271590017804927455781922182997655063076","35350168594192921552512219187275010995","112577566466556900332301393182243636004","148789061864764244475235771835750729445","96499891333992277934451851063771232755","113254848443196370865588569982192010261","265218820997280977632347190064497660134","203276850093023948936275606426190045632","309296182459350210089422529909336611862","166916174618408596899577871879518082102","205020061286094303375462771651706768092","248776990966707081824355794210502408677","39110673140680221381755981457533281851","206818581695078969988382529342234803623","276119094216647981220471463474910351717","236392444683191994524140508822001612834","18249134537226914187977722958789310961","326439092062967133162192878768935318160","54332717135894866139413860423496355581","230488834565162671100063290288475506281","280641621079254629803052050649766574822","173328290017685111384861111236921221274","197558927014591829250937837613351143838","328450666027357562525575690946463648925","261777272073801342170107749610372185045","257166377192547437321920329513660759348","280385278638355492957630320283289256534","150614515806184325977164282477595288153","154463153558693073446750032829697381310","237578250504121226184584397710816942233","116811616091945496130318818644266215763","332915249467846279031701330895095448682","181331613393963554217328281876946174465","321115158366600669809895172332211044728","190329445815448595005875993313996410526","247966998893836016801974037235946830525","162471103412501411830379392625902721876","37846573610458205146988270575039311874","100511308366408152798813451516286156420","250260530439047807929062778299617186394","233430808624055036197532223634850014548","191833455492449812390287412390926934112","78182026022141006723063073268605080862","68727380626127155823477423197518154518","209317922240515195888945758037949918682","335230078714040789602187667832976388181","14416216325301177943404594467004746519","339797240806504465498276380535868066329","276207755692485944215541293425695432295","70863239596917971360234574327003481512","33663896337644682467163761478646210065","111166074328774240254083848323797668261","158782374611236079366089071377887895369","33626234221774053998826684014750073349","135830071769777041953045733479155386193","245167441148058748715529581894646516059","307908988427677915681496733624870060895","116812020867031319169199351988412070655","138443697591697451752309736428888055776","306859524468214715584191080211358462217","11229839675234509599900490969370165877","206142034539398743373846066560047592351","40803878787187602757883464163055771279","271711184655270133755760804122002761251","309813027570716568920200972530101220446","165889880117728067972252444979730785884","122198534959858166373009547066215798968","82913003404731446091534493257755447753","59532400530743489892767942069768004600","273691178390622070117633017854493554229","241390011536065269750944778567264058799","319476138697668054278742380570771205484","210770314909745826941741057930102755104","263243160233965404602672650530653302368","192706529277051197373309518631438879692","289328347101586938149491833395050170799","288878135155577778336950090397386365155","281818812488966558238013524278486151681","27565318714398101190098555780423907097","206258907861944800506491053846572187905","117861693290195945998215256851797622582","142813583333504864487106828161909999134","236683824308587381564315665309188546354","152238906707242486556335306395333918327","302851880928028519306053413726575041288","148630661698683583113148708190676791165","71149377756877972960297127934512562577","2980222906385252568243305237359922363","163867167982407607209477660817227760351","53849932449691270166417118032902828625","71272945516744633952751801691307496965","156119452820806141355646949359088131444","327188793613906973242995399489244351743","188594371582592649161863888776537597946","149007731944281781614859102988032029455","60178816260571881378159775723347950545","212020136194475274285576330319926790258","60289833997180853680648785792069964869","225951572152210906264617164856764147537","176198708980915532642406158338625644191","293992654570287847970859823333461278621","24812671570917749161845545417074289996","203612969197278650807251316415344091310","103421707621977354707075223954779243895","6396638446123789660729822538495130233","289663987699164328202210597008947559920","335667231930656778249682027151611326423","73969973029809825674677839256421342281","225244154936140686840688364133900854591","147491813889089764237002609008163836112","191472413277375990481529290980887299391","178831485913507231578644116356136797930","228022541211843539797949529248485481319","151373188670420498531287873947398517474","81827898573448546274546891002764312657","3782286558598443513906371422950418038","213595044455147470213038829819348319632","38554067558486325013012976316102182104","13760416894596440732017668297393327318","23167485317084660343515727204412254831","137988130845052904754597370806760529984","117010783530593052772168098607238415265","288792201451013679805401636544236193485","263067594671899406441232778008207774000","92164957311638059272406958180019880517","111853829732913150714779093617185043943","117357014751615050720255428758134732411","217653640927971255900132734028035583072","84060117251362768331204137478864450926","45775111974507380894698897719382552438","9073318387105876752562539624655253978","246774409645952418117469112123091117513","257215573405669800830631478183983795542","80671798637180852375275428657144988026","109584384961731592698396348310832070619","319941737199759505480642664626072605965","37100143058967738886008464371326420740","253386471398611208995503139318361609930","274212367048812626095169778101141299972","29778369076539329085720681530631247346","39052430106992815720641413756188230822","233875407106038789997128088698048607202","78349616209654303757220682298179961381","4822723219340945659548814126378022667","244402995122733550425308637031454823672","154177883728289229179646178541201671856","8796265473428945141791322629363751779","107314616872129598757347755761524322079","163016581661913804695179495320906048399","241537676318774580622821071283674434755","169183442610399948999557537189109170808","294482032958927077000016632099278320723","280096796578922868231850660978502729527","284511770353375370237112982860357855108","24513820082788313800316815892122015391","8087094383728934117340694029620426729","24500505063353401904450523491975665160","155424739924926061788700165602997361973","293259804949652870184792172096712999995","235572402620066667581149055760850997899","232210149780866747634054561527259214283","71656625875070997302220674707371860921","281493561019576560172018798925990530127","324486189254835391860245874824641689179","70163123295071257256948287974172484582","293094863073272457316430579229311988826","288888830111885419866084369616439748914","106956651338851382085125868639096939802","318342845616910325594020573305679974884","41985635321145682061913255288943583569","115090882874203561845722776073934412717","211287906465970789647276244374994726682","183733574555448793130562284902219804956","219929656758273581032858514386512634470","150332974873963817808704453507295383083","328749826314477269783125757154489748129","30520953503838896204770927072868190258","34681061337791764370139290850917633308","81971936751928605494981134111851189018","182898725226464332054536153532849271312","289669988254309996378881898661825119264","34364832222499068645943063342432336396","26862527782887885493837982370847306577","150851380790841572745380500715094084727","10012421507127213916667398328880138435","142702919306626949435795168349404410131","302931770600162631788125416609313117083","113092621258999570616296743622387715129","320430240733506047355840492077180826397","73838760961942799411143123019183594387","270016106297635938890757389661398158623","70370626192360035530264718915737141138","29351982072818571505354922041974393795","163209101261369957858984196461083511306","192204628431310928515146507971188007647","262255732775447423840870624987803121136","248935061683506294260765940019771211867","117753306908067771758061706956931836926","274900354297294506445810243488750115283","117013657014893015397730229306707754427","336233229624923456831063512373224478385","219111538234874222418181487027432500996","226517904639890591633150334413049727173","302242085115360607826677558471749104357","243318649929962791771659733793208047565","144890370147149113305890444657430730127","69956305320323054311641904877537076482","207393789934161934952692030953456400433","211204490911042951768142562715396593091","106262946445865008530718163633605115409","163578731491718862956608081535459786380","54809031090175660893776749068887481565","242948629660644132702330517781398431731","55515020819573551566915618576749665973","275380385615401124005513540184203427465","233460668759006507938697538743179749231","51714730821571230121163477150434421723","20839716553701677173682579569078581275","282001028528300344641692338959382419599","233638684558388290036619035491470438480","23718501590482394851563525587202799173","226027282791521221740613604612068587274","97098946971580543777389413853091361083","136626704244110109663356745567274333031","275839825802469442523560532991615552907","223572914268852430249328573119455027110","293031507797709559949432687136903956996","166026204996651503714258550943524035226","316109499550328591652912336607707373959","118978258857054030421222049827836366313","41942885924209366600465732019487189955","301211593171095503897723341221233568889","306482489509638501779610393745526877607","333447055568883932012895739793516766465","71642400541677423189272818678089420658","51863471998558437011047263664823886924","112058641267977138777116707761872058706","97159851944972457945079227704179269476","317132276128327395493641416231782368768","329886421949542265447455455889330133452","244545543626608610663083685539381089814","136978602518739400452284439380604862756","38241377631253307873139093644458233098","51713148704505570018212796050244047407","333968843740673397782143423420630213246","103013421714055086751643364485241992212","122905378330137821896174561335625010186","191351501927987121467194711283604597194","284307814158712865543442400049445487486","338565904568623561520901481519785436175","336516896853730810871677049536373073107","280082458997571434012112220380274399815","80476329236480617960515682889049509897","334850220061329518786382323310413742610","207415135035296681755270773733633589501","70699001123710904145975255387293326162","170522257800214257849282058569365038435","115498591619134398721940866885507830823","288221279593051018560718370448422851568","232324925005633443054518292896746930222","242906555741953403275805604226829332030","201754948796169722600796114289162634222","94191676150637597326921225701561145933","81108621182010757328190511758974978297","222996871479864279356766153037420134946","18511752491162630563550530706343650371","293391836950470196516386098964828469823","178763112702208549945828701490756841703","26412362489232677338664816619141985308","67269725841271566804317537743299217515","84426030921922562160858696665676768548","162145950119997362602683287597128041455","58917236416450923099492942262431629962","180862093346479527430431177146977806966","236220639169699254230105834735317156263","92385486499957367160204075046211678105","96195976937429059455153580075923005247","42349282257279686123565604411896089484","332205545275746371628069246369873506169","125606665805561793816394969498605843879","4315709837908297111631929101190165437","91324878437379054320719080505201419619","159109733243822169768267142328553433028","302930991747251258140509694935411239666","71679465176475418612505994453658778888","132390239473743829585401826447906828313","273357509362613997068204089603314054414","278912988663040404081723893625475514167","25823590353757730956152675968693910372","184384902016391951284551231712945724810","245422710843998551042567864453692468724","299181310190127942492707399648856414559","101383247973411637806263069293023987095","301661533432690682529806082991740839210","31396821637872387986673459864762230622","190566471681488069580410671033607872353","289390149318085615330046103384228208479","297378268591671741122060159387680634","48378356027377591886177330889194818942","277029323947078426565122390502598054850","339115335597759011601017278990032622657","59631368425177353481719022555962272911","271302325947723000978829362795979005142","132882976122128109421203665953529320158","41988360341040231340146015364018028609","87798366521902568290131580497807234644","130993133041212738318450418995223019947","90941572356921639768232096516891656662","97810364477594441847570570749574312973","44772624111173955972999798594545643757","129627663157783782688462811008204730926","59117554323770653327451459997362391042","52484399437457281031813621909750295064","162331867791123894571417212131888430869","226846886930245264954312837195628983848","28286214756813372413352194095297534082","31906663630984092211341872083663998802","268543418263204644293037131864979231146","270145943140233302761135730036639172002","89390735293238770488040731761385073172","136442443856911667646367634173249350239","107437485500018854940309739372296893903","122530360621887875198719855653812083886","149304911008454578694253850313685041918","200486219929045940927579166205799764095","80459997032512141034229875810269030057","314821625247603873086399829973541408025","9837836796923743982496807490025519466","2867716743816525184825363724870799585","124782985332923928475593939983246407335","5887238930205143242234794600692568248","139319974514508721083156396638599591470","269529839786034853376766176232089437341","237243651263658739079494446387275453429","57850154091136691945737789149914711630","182302726717376922969114728713244368965","188330703675588499859918651157841060931","70661738205122054237620683665028586892","271748917442699173882418768635877782436","191010826575339448231296194679554847426","275471465924893407371762341679576728006","142376781293005978771315936483159388741","55301842229279869951750335429013416929","24287093410218898147311031834775938138","267993971681894494196015215824208986530","288090953336620602682568156743686277104","108751163660474117276496695034533828268","131392993786272404042330248529944087299","247506937785807432024450243300859710370","92368927118593354504036209470338409358","136001898722851538661448572221790220541","10701375077828769188775232481595139348","274935574893634619331479090833423945597","24373154601236086853164471508451756557","127835056694000431572064165366865480204","82698873085168677016731855457020945285","173354883756429251247893433580901845356","92250467643824500234068443223037492051","64746514279980301807642350529280331912","40845276418658328187622488996113230247","82340504826143569662761758491853276493","76479173248693978240956921651321056752","37702576334554575358672868388046790315","317699937143908656421396716914578036603","231660941139990220303042581100062826668","106335635106757750761882168988573837970","51515403680453067605263702558215853780","134129668402062776862708688233059330839","261991464225780466284129910680283120527","81033120438785101524538510633938284182","23258068686350856256247979876082682725","147197301381899294453451696513033303814","216283017349127511174479171189339045965","144135248560533853232168671599374639759","235875469390581585446431729741896285191","85556276751864223993494662201102864813","219148066100063056744191982604685360202","105451589813399283512985661812344238062","195889639241742758674772694028311501628","326311542152171611410339429890837985056","260384010515561243500341820582917511155","193265041123446768410808785391871724190","25499876506357070388767128956089266957","258310761337649821159313276002132716015","304208498575972608716728418295587726234","205400460163369569913051816346608770471","39617307902635801085231458105985664660","7323736390432797668936333339704940848","260564648381394825368892366515921228465","272305939283449160466124115609959811570","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","325124464025723203159071289658373480532","86987276299401475938390194500805626313","68135520119932153065371949611008328378","131870756391688887577836990813673829926","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","244418016254905956247745123043681872098","281203194614356921381549541807483226111","297709331289980382769811700053248117030","267732045834366787077623940760524718634","317196962076582634066178110287747375445","72463126633290023531247900682292929151","213546655903574441471375767033934816428","202825510961354684145940682407612849673","251349629859368940995178692657278737874","306203286683730981784621437340907323843","317645391486771823539088870201224010526","190986808792973927514666388230799250905","325859389913662179776711769265696943837","199141302499935322305749764157075900025","248230051849868131880465851094388680190","221615097958686483592030024603570322491","136351927219258800063369476078216568295","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","239704810034378411269520116497133485425","252500112989928580862550706440918426188","186769356914454093727149457633423806336","58130971188982183178234830363931349366","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","20419486712876583063414096135252058537","242810960850293654496986000177922366609","16610448743145881831415178952098974852","289902609320998524152348635198094095638","302812564315686532198726768481439343401","32457299471410505054490696272886154883","69066666285542271858694918765725341268","220733209535569260953785746075801086432","76084054450044703431670793121123030900","146548386660218476237969600524105605603","66535549781247596844436418562493207219","26982125352496531944329458625233250114","63309136888667937303285327691918119787","6808139226321185669310627013536606131","159021194789529324677682346962702348928","62904725375152587452315823484318219234","131970423400190587798672357952195945323","337701823682305732927190584860858605869","148892118549791613944873944373619387932","188442768999863738156471042346278022117","291976020553211515801295574612729560160","91277070523971826152087715013487869510","68725514401110880000085901406995705650","290378728205563421157596975412335044200","182801784151243431552467624520860094493","269913275065309935893948539634158536159","115999415919942884419393893273206391001","267295394486164938006863353054574261148","221234123132366761541797319873916084530","67152945180225273184552264507978014319","245739585790671960869146092649422724308","194802880134215105308648224564058697666","24069472830722979227020479451097029717","329115912933605419279986196324857894668","18410500118801585054386221755210749504","311028412349479062614574640477934046098","148684188501807157777447184379491990557","83875168561613346138877107423388366730","117463487392735711689177044786204080274","20696400877577496425528806661201701016","108896033495388699411809710391043647328","94540686049508022998289952420974923911","159579852390777107558370956245654614461","159628180854888641446687525386190280602","48922550194946376584129721691370439235","308272096069297268235045109224759428817","254887705957354235122283325162080474933","13701454377446736868998555504385531851","142338191713510581428689645855028414906","203191776122499871011823801628077785610","327429588040540080737618743697073698662","156130890710535664275640780389816392118","274551754585389821665392618986590728870","222444907386427117393517152716506541229","239433393336768571365182167427732788544","43263588940019635915080493124305200640","1392696697309498923430842315815412085","93357246768229951696541738269722938776","121240635274492787243573930344825678806","84651917789597443152236799546226130819","105673126419441216991877701862754115834","19465579235270549710980045345098416675","24398944433257609139475059447493904762","67010056013103565346187308001561483454","152123693939995783244008897194960415508","175027421306750395956408201436153051632","240078512002246953120978022859888724048","272439949939148932230000672528590574690","209116500187513660721456643564101914882","235651462384214522543351920876172491384","334816317175571041911570655952284574977","170741012667387975968039832001951892039","251981277285777566784996400552263115623","44357925210996386796029120064394792451","275408115107480644875359419388655682473","228532182968329841816633559119078650926","84242361482947273397843683971207352093","261901439864637057850401615361046076236","86962471416070299600347069838983523830","261574298519464134640737213150781482409","175450244945551995166271293193562047238","150546691067870425872402638036565788816","27742610202040733569565275344545198910","232620034839686058528642399251209787221","142806209620196281811662349250802940360","304062322829021541308744611479093995318","51331264870854440594531715528751300131","183673409697951941315894482766000236325","202581168085109239688491036079363169537","197837794891574530095983891750707466062","45495758650425141995532068386832702823","183613009721967477511040765590739076157","127154490341488355495434710977076652148","196093529175986015153348423907761945675","214741464404760801665491768046478566981","325001214691063112131462039804038143083","335524757394564287637198773340994497792","282310317820321000199676650138625942326","226580975201798675017655869387494110597","111365805115063858477598622266835805406","248658462246373592120660284885023051045","79168731569635857753301544389045286011","68047180155630069894201434523185099954","158912294213053943871712667672223794546","56235894480941166441911552288536240967","230257859769022570855730143715613040791","307983490513032015568614758295600403798","192401799377580241464372857606422379152","82002191680917141096066380972316752681","79665788338446342094483127540587418459","36814260239177244708987186408097731612","53156725414051118277357577117808736347","285708810924609739150804287571313699840","147497664322435689266380955841863366367","93545771174862694225334794497415963653","298736923773210044559779930600319410023","229569719113517770991953074026899543765","49067056652819022736516212379894346565","152747032257196931657289287555219775175","201338258588663851967254745192248211569","126471984406542345107674054055337068953","127326254024920943481991867422154766196","14881883927571995037792657843315598100","135432305627605608039589533710093901358","292355945592230943014380769789339753766","164180590432810603945322021544916172610","286317901031844153179667894146257367624","154243150211345442645790505973107523275","128885617547362993056110971932218004826","289442981681479870929784017752732374776","31384733357704324866027724990522485511","42826520373820635354551407260429259699","49836060021233702911952658498075264861","111791164910499854261483885308956735443","30281861263764697247050554887229333254","144806688575199750755824141639853540159","128600615906662464997326483759660701110","311189325115276315457311565236964089268","298386522253960502722120489604867658016","244866348866611803546526258900543688975","130584459139670664271877168224954750431","115549178875657482224302223600288760953","133985229062636591850890461658220260882","8390618142783253783357417835197485155","204186943123332951253055302904068216839","98452887467754145768898871763660892415","15321419652908704232431786634282838507","256902765334444621260132232386445731538","164568432552306252890397482573615042463","29202141560804890178075078265367540645","147599884262626436790488764331266701801","284713699452858282758687783207415487153","7642250003319101640453963966923852635","303697894164806212297890186962380494931","69011998715075455299598720941264234988","146912636683126543353535509029238696557","185849455356815943916751940480720710164","167985906702648301214811296399524812799","263001794676719847309081242416116898611","152357460010602013194178064961979486762","155508424553103006732840338357413418284","308652274209476155723767029566149625458","259634031273124629610650327665081196858","314588473265557216864516909238297880909","284706747672019702429961704977920144428","113439723973069666603833189891674761988","68348759059649000352835701111958738140","105593235045721990479220778553107312347","21434842984501114394672896875575910356","167952733240910696278662635946575074649","300739477139857435721558960746441123587","310228994739653879322528525724011143033","335874930937203658118869008379466147852","53221431142452729945714266324000970453","34872776821416971560168589441587373942","212845280384446408775794660081999788370","280491816153496938427792892478991505286","185863755091305463749768635309535523234","158161486311658564540463279031182509145","119422374530897258948169253382191172981","134049167588643246946866788921589553533","73940172217101204776397642254538482359","286135265308062423035059018336672330295","185428185974000347548062194992057200775","202590667853140493238743157279373589116","320023332129787913732929811230180559946","197260807077050894968897284152603090693","130148951274511337569228407585582497418","152171177665482018826696338872988269288","149775472169961471527507459770973594871","315097347411710077497936669138195302213","65757638961113917296756305431543347322","317782078641119226736257350439818770552","280169346635757379218893911885656570572","30594021765343027553161857310801680947","93919707561087510025789649677764322887","282704610197199856765227978362658170522","309845017033705699958321338234993949912","121792014753692640546966096144877200932","147278931871561847629237101939410419377","187987762378168333274304434290680196350","105356323787430043748862514635323217105","56186900887356249314990411295364482060","236926632538477166541913337093819594504","78806221245818705880604269360113320194","292394901888325022372670942264694826337","172047042308314958777562123647236042148","172600177970835952469315210119816171153","118442732987783622371468055891897231000","273970095296207528804495227351387916243","183260363433723233415798025334924897806","302475660311380914753482456193217328212","170429323517299049236753329164155684094","125877071368788136398336436852684242920","116455381254754336346320553158468745751","274706314032265010472121217543233458214","160977579161389683263392918454481075825","266718937527604340639398618618669659337","263486922824166313337809986077675837306","143468890530750212390378776324880872480","246521266839013945178407042808288592692","294902357660810894773837046597452689574","270843054094676302536668731166891793957","289748602120298792863855795931761750738","119042146319392465841132961777017327474","176675343567207703102672769356210695454","221487448056139467689091312955326485142","3081636200394332270276060557015822118","226564333875234527701657192996852206550","329387231944226735028149583153073903171","291456734894450162460916238877965676326","98736664831733861822528898786382496232","153273043583355472423178182502999426145","11597115513107180767950978814427462974","320590632311112055316811154890337365440","121155351256684675735756798163496312371","23754163519971853155400857993952369498","219106853033878960383768268172016953922","49428610453888933465777252348614980337","10074560303153880399934459363944598588","97381136626166744068642410023003848276","181889834111291004465537906677546585613","70000496906109779943559049892184727809","135015740905163617425493912214055087101","303284426710283870233012586894789212765","78158789402500394693799467387153378505","76136257719314972802033495276395113795","77672925083472816054269564318106016984","39628062927397510457625545842955390066","198920090723236054720394229749772998751","75734738248158120545718469717706676689","64666751989139561409800707727458986890","213387330146730841601567586998655349663","120668669301509405773845933456377914964","306160480665076604333734736940521174448","95938191657683784369969492858198199698","286022055313612062017455070254589748228","33860803843176086840524773808275950614","212150861551125491403273554607541160023","308423451865173850368509599850401954912","125205826815108080480067471269870196818","174228852359865876156994106250169932772","202187305833986660768277549946576477620","11619002285419171875506843469393310376","298233697795128937086029753378751937257","86237842033628821482668695636643737190","150037161304224231511786685726691239817","306036673077093275752328190697183917619","210435823596689988127750437044619590516","71243113501385110718190080323644750343","100089473514089353887002993707387724709","213462356400971668511529985486262670957","82562769771623640496605080138809556362","134931560373498427054689199951500252510","248066795398213376230239978593304204060","82784394513246997713091223092495942215","113568957188956017957843321877538073324","337742983247318237004168125369250829057","70150672230132648869243818153229217622","42186815371849826317987117619443010557","49562730225350574919834136639508331023","222090703570060358420495280883084908226","44663006655863030293209190931516618495","288732509643135981239412722117695942777","323276727727078657670513710251136051035","297015814373442177908270948955868464300","163725790506594432506827868971025076220","108043931863399380575438533031305257518","203421248371168870455103308078416339079","262982853995326738995982556950359620035","155064134193642789500652256515406421930","91556294063044074865792133392451876586","134411129589134582962912996348537100117","250613920781246517371370425495892275916","130252623831298734458244194256989939538","181893311859280581256221566119295511728","238401418030672445147643816878328439628","139884805060285445824907144456029705784","211704908754067129928743782020159779334","157704242970218899830605017879296850687","71622710122272744425949622998888113913","301681318867267485693351875848924499957","331804621498995909256581438321268641665","229877520670064311293960561808697865646","119782457856984879295985815999361380321","81428000488322071763800394245683840747","51313617559065454615545565043358838936","282927841585881176326628231352503663017","124948513827510102645359190655835666400","248206605939572394852495661544566123725","121732784556809987684015931745701073858","244245797337100854204482101597696805994","79544233694373656090947332674219774025","202752809706529414239586977815506127028","301515430049162995677806134046211806330","191344631019432124607899045385792555036","185029094124010200738156171515698686784","272694363492972469561137131557688886285","8172406260395949740247369255322027522","54011833292315997401414010085467382891","60301240163138115847245688691137217148","279054787094000222298982633698994965295","215247076017445772218563501960242343171","176952502821304587166436253318161035605","69447072295444104612318957805345781552","42831851411790605074885993930671599869","140824501297656078690908464924769285672","27461553513459902973245740176282442637","338703370490089864903503687282828209590","122110958948147524334185887752735304125","302366724401319202158041514959540239167","334241209145838306399216234541513778011","137722561097886675379551615923598354388","27707986994279111945794867906896418836","61451160830698052992160707122622721933","109612893447343580623200012643908984500","88654269689462356464051210216282977062","312265338357154615677223902488708741934","106050814096540996332585683456153392282","264672978767663122077170426858310601372","333815208189107115160669438031135277040","200968433832558958805259992881867386553","134568769256986743819611746987939536190","8074794838348114627272182271673477224","306347368280327268350223679360556505330","75627497828789679730437545379796077222","95565527519264453025634682973933395800","29876427863197995699596665488647899790","139642133384114808571243641675268286262","273559756735614285488141846039767514085","272487046973218954076185980086486218741","180598841360974539041399406769394305897","323372332039783012648585132007569672729","240064181577305106654568285720767982281","138466020919053082486746532414783239339","303769822176706853900175505620425835022","66233639869946752310908254621869816266","83774576856553661768040771697459770064","33707603681394139498653586966733151546","31472753955936410017714632355987002920","292932837530676550248847182764543799461","288934416610702970305245716372072451266","152590692035116144734866656344405412150","172310678711404602020214712951154698212","172045839916519871055363525807822582810","244118934769803443865075360250274778763","211563191825329262489328647494991008686","319973183730534853596831214429586688751","238693626598840846625756896781801560369","127635138444846379488910682180775394825","282155625637740449017533803878535611467","166251125124724665834347440316716795365","75371288086783457158794207034284509251","222585677110792461850794771510398909072","271754297205516039324712401222696648228","200625605684996263528122758612679627689","218881573111478587256787372869863630413","214683629468046211565632192546939050028","264779158852154292481600427858397074433","112843277601038076598496171193100309069","206075731774611913085203657084811824633","213180897600086315559218931799791541876","6791987863098408500498368430050061294","169658552753201151185408208137962175027","34079892992173360947371731251655716326","229282666324014641206997511040635299052","227019423485972308022333984612838356972","207514842420538833619489454903054509523","143229958895767805348231611053421373987","249401623214772814492816499361808487495","45121627609143588853785728488371095314","319988653648618402715140886535046430705","9005239643577455608066752799050914044","57795689873056913345492835677653687756","19140809230588119813897395208202542384","170674269499558404946614825049853370179","242439821204817786530573525229851110543","210750990529423342090140479945887890673","182965086179332119546240992238499580128","295622321845761964359759953931536147295","127102126311553812569581800334459629031","264461048287084578096130524278430573036","20432121452480208507586551304823603709","233734969652017560716128808155335362267","239193303490036654159593167475510900401","240080481728150253041597069578381761529","123104073692390177414542813156515882914","251708012388438567630243317715981695541","256007969395998912615096844585177205388","9086037963244632142099356343083974678","133513074584874521531894324048580457109","166982391372538296695918262615858501654","279901762838366407372952846213383412656","307913422686094922412921961132521308996","190039954509745857082646530781966338232","314955818097354933612229851489779083171","125463984435407151086879709411811808989","3787426718542229044630980526289838106","122575275047189013985024328916151659676","246452594926455730452919607727027330930","42026857861034331189372903860594951532","285698805368478538908062717644217843564","219254759769426612177285328924452113101","300561947643971960581058275016040751060","203022043436971877151321564118603291686","109496186010937257194630710258493592678","157395443903020866013738202956259753256","136409872725359486739148193369484948981","324779239609407346979726105139130752965","311763167779596423201764127051459476602","12094744200471930730075039474259543542","290981239951903398047594304877547175264","292644047381965079608775094551998630193","289107112018676818500504363702830878917","272560757212542523066467263063532729055","297564522376377811288526710655754861150","82397481378273177454035530575383596125","111749164935676325068980960556152118457","251697508320269501808416407764143094084","317720471190703027025212556717367575702","40147530816108808654324907279774670206","334808696915497953558199480111577951204","6850822290721550751553525953862624416","234911003983621547380796874879565551061","280174384844746181111101472858916658376","152566191654208150011854122787187618427","67105963859443575065079114790772836675","145174865655651519925291418718190499367","108053945744508713494860223499605589271","27881429418296390437010333677699829555","103977168843319055631452135814190159038","184028468746239527354543712344052222402","167166038723075496216013501562430054142","45871780220568817683989251909408699133","31428690133530612296844120772339128911","279219592136536380970737713650173180817","324463336782344470237985581963312319744","13651489506541704230064943647066544974","262800529977378278458721919739562324752","335553359488793684059701377624008959557","267342180242178727338143538372783720340","62857979919831044061430167084282511040","155160001770757203902260210898545036251","218798440265102001660280932260280677167","290949411760752334680809752158891955306","167456690613008206237801717574690856392","303338000752968128444322163292820399357","263611762820470179408021479789223813770","188397223258951943194310724501010965077","11268758324617173793602035298118194528","289050875722228426349941589400568976958","314493617570228336025974136237773900204","81620520136839250229564126984767890770","96565080616110334450070155185224020309","82466182453344617817453840633849730576","11770237764536634549914707832688393672","219058475148090588356601946241953684300","223105203624317448135507122901943944455","61775355251572852012472421926004033309","309666379302784544476068213966379815669","17074142013528429408343214104364428404","165817540403354111007895893400968895439","66808408201359352637732555320582925358","320192664432066246813917283887169948273","160718016085036630957391203516034862248","93154684819223173584528957642679684290","4827657523104941068019921186620858442","314628691787744051305170790222924987611","336605678495981541428753637460232299048","152304087474825723260369764766526405374","306183716807183414899236004880786702665","274945173723966402548358221578422251704","225140576147869973682131480362037193502","229120110508698065359817009140614362644","95815169345137023142062788758726957206","205258225140408302226000261402342840324","131906770814620590426871337704829442490","247857434686952588806110612279886548388","334412846987896013576023849279508494889","126109117095882575797953608403550687447","142971874218347233313043591964557501304","229990196953283864050409166136471495985","80394666154397254647786061956550219980","15826627181463939090308834186168433145","194565921760814462623972813640209968634","182530620901053778422505498958834221582","178538002675572256062857606740721361193","153984235867464908204046347308083344448","280858986075285754670991442644381594005","231530478861574228650745169753611352728","334066698725108027221073329020268757432","91174052564087940021345727953171508693","8487532815771141344466453101474432353","248749327196956951352896075654232269875","164986816631637003555088646374954142966","88761683318969104546696253620121815442","121765655973729543089267792171213065251","102693695754262542701560197688336739388","77955039113648288517717747933591340366","4756067035633901340133759607375076105","19685235899854122468990675081886223001","124048281965729905778847481770563415562","158620495853793775253780053960478817077","128515027475110217454791663968044254038","44782346178327244095573941578800569988","137481344648829441631272318409935778253","24356186264553851430034038276904990720","8746084831955463335813385242676308652","81344502989247280423979614414106532175","166533655345170302769986251456400334501","228989798358653528475879715362170341074","240195038774498841757812919003980687993","224376253196684519793877603513868527759","78433655524127389918515641426195009106","139068063444813318245066181074542529223","133100220442284257097667131543779177125","210682878924628615679307998240726448473","225036235992967044705548042483973544899","74601549420626571010436435213769519606","128666024305192086732105491581399318605","185307823813006938194030721758872457516","322212301592562925654456788122375873761","21025494044257339553260756151144564510","156453173656123879538772322281449655706","101056283585136505640512080540356598198","242679826726992852436249902930157990701","97903981574772423424849110921329284762","146186584049402357263560211702663937915","317613997770178461995936457734379237382","24148979539348545970225584070147464180","172407239566283377454747160012185414294","15809793147165497227044972443474774479","208892119310335857254847639873654183630","142081467273588349670781572552041979618","188271127027583344094745394171798238035","70369285203983152564670403881309173506","136920242324599759364103406375279271827","198988949402359916862102548684734305638","329103397738344679151104390492047665944","72449710632225254729928088249966354118","298416475339115859689685365392770382096","257509105573998503134461552917630568403","236754662101132982722114810442033897610","224546157292478277426982838387911849656","253834752644896984716982381982567302646","20549530557113923819216451894711850640","239732241876622644251087500509510776673","159314148213313833064326222550568960533","123130631021462637832314293103201375416","95199597725706174524023963931574517193","326692319069977728093320031274612029062","33421454478552155258742712782691461534","61683149203481342088934855478955538356","112069266374557096339580672365988654490","252036636433105875157108710598050424884","102349728294526862042063733470177344720","323508267411620486775756112883760576902","30442915210179109390906322815262479187","174562411173121822846417502872558562690","96721915158329124088267394891902287619","39600613297122557307971403889035089049","300885500050878296278834749163668871143","39165501980337889480928815342116059240","180158816161019761946790275283549683370","256892659130692877389708559577346260514","84239921719722806790927845679069744508","185218184472097364267262657016776603960","148045696930662702643925225980887977255","249968282802963042287374873715672001004","116488552758995823685834235469515677698","172532576782333305086232411851724802377","52012766282864066801553562515183983607","287401195462415625703790767482063603477","2248150416153122521262744345252002202","173496250277304791197473622468148832152","107673733515225508427856038243915249707","38903730780801800239124892322555841462","67818568384969808885974379367120989292","149909983266229493951466799465883212443","226279295550083963139284097013133597791","243433891666939341481952655321856698147","70342848036762813525093397221065919215","71563281118793250661759433538132901579","102778300446706503782333752951843494816","66956465699530497393148864478344052051","314282580079375389545393092632854524520","108661961849223390008011343529610694840","3407914936854226814438073867795391754","216617269947846820390131936566827366954","207148390262231095347706042891528055610","93264672439575880465293498713984748770","315675141426711773513567530279103905373","327671725148253505635728026491637910731","120788256983404359778795221388330625051","271237499453776324405842294430632649834","296052345399593940835704706444166609351","127690628622861845101114711016917529617","74176768695965228665477483724858306607","263489487907548715969259937669239808402","91184366129406952667577653116453558999","234641705927190053165936823133745965367","146895041454723956911975561892739525207","226927546692569938142489302714019520685","164893587758718896586781798736087305446","134196047942296776042303782199439934499","262349091728063572795934590665448487337","112446279608439425736299240402926550031","70702452425999321058732524883462661282","53863427859966754435855447477901858978","39250660234048388332575228984720185393","338390502088732716540482613017895456872","16903910859735466267633487046508700289","113191775683595499788864970609382547202","39328032876125024278586737860170941854","337281169821673084953972575672731677255","308349424854915592490116530712141291691","161715426106392859410894742038006631554","329600481686694297475849236653864894423","25837107040740455099532305897762566865","239038675809011460914760931374961667197","101709369546663848490205336051429790664","91671468861519507941127402444755238279","29720322559391958368797831759972655104","107865519874699569628371581946267584274","151519895178617830123623119147433472998","182099331833022572418864923606452650856","175561366077074205555051874572236199175","241762906700027650962698763467347686428","134958183184829185536406851459912888606","318920727603827320150231925755249484535","56708665805295321393685029526860617793","61585946618696535952462059011623243118","196649073422467310074201846033812998450","178348871695363047269319024714880107062","13252981674022604081921653685391878473","207168078529072866670817515720859723070","151231659628014747583941099506751081737","90287002285649126232717634108746127376","92767678495533669181795876935864440979","280799059853481843076977147574150506476","316796605613179786799377356383760174767","196017602617188548790311708244604522582","316724937739406039451954912087831800084","5187405411029391577929386328109287840","6690654785870380005472764730937549019","308352079036144968774930771329572158262","213537198261848934274583518202918192695","22660720147323169915812319974807277659","280146084763716465134598715066672936106","98052072352221036360436027956039836696","321205710493209332578512792289072597486","8232435324985891224879030375130721841","311005772469240046689588169723593381044","336543436677788429998827086665431813318","265967635692327349411540360435638200893","84237648592701868942291273612102650533","278741563912997954689449556907343525035","125804938401058485102793517173744113602","333048852864320160898966819960993045695","45174315973983904665821027680209383701","59164343806099831547233789986830004086","202856190423807542087401410262172313904","276631705144735882924938601918005337958","42088326333875569159349165518838930529","328874446296374857335387479224772121845","105324396430178993392281228260840374210","97489237581184802538525715793746933502","65991944235173089207856363531871892668","85949792064697059444138619563661800148","162342865954116455983932338429556298430","107495047889855346443717584843680914541","60502704244055180556236454162958705329","114519654354175829343799860659052006429","177778053569584733074104846987276020714","68598954046748073881527696025061531424","329666947089547257557016125957441309284","270870865646724722327496885229806535342","282978164456602472221673557298539459884","275408436822082330842050572639227399224","220549036809243793439491419404956371629","43817122965740257688134124299324753630","316192424715792875545382852859715564940","257089330787383775401247637030348283550","167425839575688825745576404259086007524","326018845673799700348031535101809745682","200313551340436690594243392333995533937","247626952332206379600263770546923327605","271717907289804349600107857604325685821","67761078412758017130820758535733943538","5661753814123240878297777159597801255","301596906519367971491945058992316824776","131326552874031904131824974865697583376","17654407095063140433745758862716070567","172954570167647186424006833815462447608","57078955942219779902098917660721207682","274841950205549696890381402971122085205","241070089918714575329853791792300896349","278098299230709292140877398555285504928","277750207738180387169923058439732162655","196186714258588152921492022523780481994","178838520383872811332337488957739233568","213966425709620294310160162018367088979","202072231001666143384597288635245288943","264517078694157604618031405123174709641","46616262534518317142345019541346748427","233074304205020940496559969425738191343","49264447390240534946607347518839256869","335888857802709316993797281825212948148","85741041219853025535928376854828281346","229417325006647066759720307086812873677","274211196801605430297489606194200723004","270998788137597928030065235424161849837","33809701571859635840918452304582246027","79739170945461068977005079175311849313","63632861585330565087969658621276057425","167025538062355917356169976877777918807","20339118322861520287653573225019435970","247687380748943291858601611749337318857","260094599975092884549489707912893500286","142491970396673309475663384981356879163","49021635549006005396163558851224613415","235209411698820760660281743051882481760","270994884967196957864350995362650098615","163775551692030851160061705564748400241","24508755366076937922728580323438877085","252582731712397106945941282266497695727","323894409836487869519832007178697767398","29231167653145604996615190520238244925","65591276857269490952412372607255855111","162994952475147897328301320238470918028","116573077214331576316344248583000994837","248746255094543988250029391933381457155","307061160850862638752306709650738135343","334000623274611817745152975165732592391","125260143658862733635651011016500559692","23633518415564433938110164538184212361","195622802300784364614551218002884921312","4735520028581190113053747300752555533","110708559222368705332646073786821978930","324123036779187259501325051615232666453","84230332044084074686364899336174315576","143582520198829453929311186597081807577","220974069918267019330692893589451291581","205636538793791759530499881687374977681","17539587977563131635906143780533186036","251434547564824555222440174434362550807","133270608546538591905122103193319062966","177087298823777744455402336327363192917","114939765263617723620942386592293605394","59743704230754565643991713046271162827","253459024341937600921985531925529792487","327430227720436835159514082909390010325","172616440688638554105962550125795189800","289301165013141016813879409930610739196","200157681413942680500332239716322191280","245841709451332022898337694823788924438","113111973760841789090911520886747429290","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","169271566141155151919400972967900645744","113971032552394789100133956686294775575","274787757823153888638083219027900609285","170361543316644866842924816937184266748","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","2001976966593057336575093867682005127","322941150046981124930506000180675362081","195506515753573626252828232609272317610","100950565572301806982240946672270922206","53118182257671316768472373986941076915","124353525219165531258984725886990254774","158802895462174654924951928576237040033","249229755941728649893858336602971268625","20740010715273750045862498414045129766","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","306927847385621672629278503339080554164","123916578120123400604176844449491912602","147755695860061338178399765081376802596","28305394617067564777823426306875252876","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","227736210481411162870291696815959938164","260792195755981973064099130529245536853","242704282691344665805813988856701831641","116081879577146475388780112093173129106","304643639302769441616713287525457517605","85571702798880256315023417905959729543","188664703430706976331921029799567027163","178333230685698686799110416084988449978","50682786222145480702590857961637345581","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","137787593453853839662054108254371180627","252312599235720957025565851960629195321","317871952124658165153865377597078588509","251627560533213788709872717104270675935","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","332026524771227134984138007428650254273","250768876062515590433425669444656001146","292897045570914867432941751861178291027","263767417678480592407698440092087235","68207971176886923316184497623555685981","155953583193463217467538599670194230684","249618039063181044861368275346604582521","263467921537831957520678548715288495146","60497664040805085089255413816963476819","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","64385228559854392783073300433184676142","272837316904468978095740153411387464291","73191624581239567568242864164706688256","305996326843616934179003163369393273942","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","337174664542276503451187781446482061219","93751176191492267302196483693732176410","271153812033077920922984308890756037868","149712146526812762276749126674123009660","254282002827183996951622272162015000113","214692403507777713476124168805255252023","9218450405302521358136714691701564495","83096025245207111550138410960079657469","84710230930462200221914112508863418646","194299874528333690954765539873576407283","242643254675382799655737926562983695399","136441516069653979914270224503543173872","323808338291426092279761312862380744087","141654001231894533530714807945853499360","112697501507772229619567350290665535429","332962066213797550026301050589494971359","134735220877029661424730668896266688846","120792588914302848489982864102890855015","315841236443013735737999030952001110520","319552798219038917351887918138994001342","299729849187276101680048505858887490140","303971416585028395052395782522383103679","251716200840139893465560571123744146340","241139149605791848751708781190857194027","169525449543336618225388966507373617582","249575744665250699642597656395038202897","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","91529231592604221681113757101124007793","221144009409494464262092896827592770801","157056651202807287433785739644910255925","88048939016780299466053389776301161693","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","330396543255574621590662154052246517800","266557810427979669472512914528364688998","43583413932407391001129968955863124842","259298954127362892045575245543606285213","233027786045424671517805900649559579818","20867217284292216896086515536616187614","147204089345456286570225994787882591786","161890433214975336045499906857608151172","84723098975651527342034559450662564491","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","183145504067438476992491618254613445803","279683960742714579957253140109587150283","64985452428375624446168069582954793674","42437114390314322220017606609724102852","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","46600750453167739820463011467104781534","67548910827679258850844036166599227470","86615470777288728178522857985196937761","289346413399267973642227992505828138112","35596471981295216592406570834735341841","24560443659154072620271265657420067332","170764777267119856727888604934105356323","9274307460719141223151226992256616951","259398370535270632331375493205220723367","153525208591006438791688930515834497792","122138734226736460870432743025956794145","128643993907700735170181068001099370215","322296133526865876659669641761326710102","44981632288559142865287393441694338173","200480457623312504458008146143479286096","323407090006488865457067269195041430861","168003994613422064901213163846718661338","248460322961419964135605120736645932360","249616469125992695422138941878274628716","169718229567685094727204702244247073579","294489580675606407179954927841336430413","112566830209146908035991176569155193331","30807799491591890769551735376428203011","242744040813856462846745912599076460156","312804189166773061467201004671062183872","177296982322182647482349614951850707909","295622836533863561511596501709126546137","108542565846404449005256352717364736260","201554402910519006018327501455573712258","104309546239284760747137489281132871","120438626776976879715770310503683738397","244099093753169413831507584298898279291","235836880968097897281629988646439287633","137147598205399879668508498710515500669","57868159019764779874749061054841743121","28443160667466252792905359428503171143","235265095303556440410707072950649833380","184054119110845097186486976238485523985","122561170661467180179428564488471266148","83700253987916082896088573379656551921","65382157809063974922908002091525218801","176815591308202376167545371454439956519","132159573041098216312705973419999992879","289784871779697766934631434962743381567","136948702792085035312790335815518836842","322805287811822425564304527953239938027","186515298164538612481928937531884540785","228169698869442378687345877774523552235","14414603558053919324458495461046093362","314625114551574335405206548775814185523","313933911316318204382216508554095961364","18264323277164087003944136017328323963","47328139213292738391459762831617428486","73280590399121436511881117481422321014","273013813624674574988046751238984902464","188631889501626803067067158133152830887","72258084313665736775536970183071144494","304823998967490245292174727224975471298","173061669807590235929646995466522399146","66227466409791632799843596274062492865","120173669374732479145010570010378090670","318800760480551357843872669048511753357","116216200090010783831632060995330690670","293719478477339232879905261468277448050","160779793688102725003974898073044488887","136343155364692230507579209928022901709","94887959918548004584266061332761377592","237480169789249255891713109192449966475","225765549948967715047324742187000563819","277489689125150188227724656803424824608","177727199574692609550734162493253767611","34679991690940594505194783905256195754","167089182318271092132267449365825543160","315570348208414426503376135394743009482","330079046722628413457598003654641855996","196485701158639287687774342252504068951","68348247991756413009078550452335072999","239122175511936838396651395803527987975","321799701909873462397284414958349025336","7222204896885891344971067431580798128","162275399502880214712534704954836244439","200365201692274723503367961219385390866","829325753622407711558795759780667357","126761101874428254894328722521162519410","21694882436343387142047062334193869222","195224501115197301081592382355467481505","14829282731500397448899703980806136334","258523174093127014324051242382241580950","229789715982419119973432979373289627827","304586629174615957163375715026256080966","164664623505696019391509614765523046626","12152568736171395663133639275795755713","52676058920948267155470338823409937312","295081892528460741044726564733664803183","155791426542249492030904543418979308092","107915360904024582419263215557389015239","290348323610989041517451650054601957605","67591817065162958094928452512988330500","7664897912135808672676189379579396480","216365710305579733131141721195802739415","38513274809950731033203420039544308751","186963720111381678811977069646471127890","291580201536114605597643161384052159351","297518483075280243369607073930684854838","317844116493356444771383744562218257686","141225662633977083077446648145097375954","94739626709980258719937759268269073089","92545024505196500436038185856867695631","204709529451350506188098191742196399629","37604264656270049050944462029503471294","109669375992488881976492515845187375167","129003263265157229368896138357017020643","142744903728566822122359978438455272618","42555142691448017332169367760824296266","202539023711471246252887554511210007946","64646519740033219692212576778598033402","84406341727471772910220024015502801742","242554499797257272375003092011429106459","304618298882261871910422020401201113773","266009367780099634047910678920310751990","331296629600322664835788413839949170387","333133869193418503931866134649725880127","292988817743406805950678984697947328861","305302528584580903922565627425472363352","139068190561935847062088618975101045687","32936522661213890982962182675143770145","151826508807892105620908016322590856078","65378317397870663612597201479180530109","162741341807285947350058878487820795563","146308951756728144604551411239961933181","229997466861468274589898303388989447830","276961011019567491848227976677200794199","232511049227521936558038479415832010590","111362963721929019170019019516360433891","67809673037331197119235007599603168214","272797072136415588664400789021547501897","268761469578646976206987825320163606160","3854052793094799053758978764859494275","194991439132791608801755532654220424720","103890211434159177741230116799600919124","69711957020629550321157231448536372674","145859102083690297655464818444693789899","139249212553708049952058393804087889317","234211642894979527944344850086039121315","283008370100168322097947120371991244668","116681842304739147421675908755611233222","251479877658265400587016147767673913778","228414832123631896862014317336548484466","179263515887259995781736415237964158359","37125554346229756589511491151679038918","288106320797489448814632512890816206213","136631499601256542781712726698114719351","214563010108279541470233487304234429655","190540503667443343524494984362141581813","14976771701197435394894880423523805726","198839583711633198453794615008291849730","73961370868953759444965750603934296839","49578240533074399095626096138263512849","156271042664183529356210920819580653341","31149392806902452642371043325183135961","291155870238893167662621275601925269128","335019767106003757890045406938270644997","148494629836138852267370979864497977352","248241034314634611108354281845381555191","66694361120863964345624475938043279500","49080388918682434685607190969189748394","56880881750050243063119352330777177610","265258818369864917133791985922635531059","123643745926891340861516778168815319673","188302524757935613270981790096122618216","256605127873893880910862052439745699874","338202735164243357692411800671102776837","181820397536251343539286196024144239069","104203431162105651422341095259201318629","206836028967734021886628164348270802642","232953860592495661361475448810484892210","186295769985275088368598829491103450084","253713542451429091861517345682460060908","309448793793127348228780439700558001790","337447631136489492227776749757596913087","61415057086533303332917154894623757250","131449315981296438994591051967203900275","236617059076515607563245666198252850949","141218633916053005824502713976158660350","143537289295210254122271439762815040187","283396436515355284463707738260554882220","53274681897432735441225604802796273311","264685696928837452121973534659798920579","332366897909762498657793487462905199399","307680998468905986092395564279037385066","311718096555761608750731336817367920999","110089605731985239246872269208570832008","324205523009295421439305300218749443189","92189648695034176973519807920062400883","253683242017491240502542925642238318682","290693580656046988512863347421013972066","326150472995852768929509390489473585378","253399502720168135198101074303664423568","257611038056596249469688502196864633795","237245159714894415515600379627123001774","106038770677280229921590112639684654417","135678071142677869633925010933584449847","243734118499184041152017201240207615657","34644034800706806097619146734859090985","220942746998965269364098251210573537289","177721459396270835157091981111412127404","228654833470523385621085481043777488636","138815632938133493710360510648272471048","276739817376054787644199691853433605990","123562113471479078928794040930205687068","325544196781684595237020653873080774747","86314897776781030218445425476245353867","93258589017449700468884104096097506","178227575430812750879758506944819451939","53757387097219847824435833411257063098","185743354098956989428298622282347222680","10947437481684749838807791726490059970","69886703441616219510536140471429586054","294886504785088683202151021266428548703","68154663172466110926114920432229327411","17004311799412711590356501775357342557","82604001743035792058296590632537849375","118634892972192800803577265310810101286","151526282487340792669029533105919867079","236404043009612468312395652025308637332","219585084822572636036162421129733403300","288882227490523251862802004448609422754","178873746299442518580849167483113132235","11738042636384029932474014061080812977","42344629651677174012440195528354850705","104124871081003497337224733606696456145","16110176566155399638395367426302382507","156953455672742097389162968592365750172","180131556410971341461607417256105168621","50150687916171266749791571813130412440","272286457045992344307816455175888268884","138017992132774829034105079643606969615","257771361207253243455855842626065350806","249489733656655017447530794360837981436","65051000717992385171365952785521647100","294661947667646290410487063381751070432","301722165053123181089203600794921493229","43799710620362397016069012704850978921","310988774910477124510818766143688653297","95146895240738198665203190491697394313","292050609151567731407506759126925562875","74075417066203185308447307585291580035","173134910167723575050678223553831821687","257487667698706505503074670772725704450","41756278571190817722086267415517222130","21712222505180087591810886355230815050","292573610846505888240677125289947447292","11494685478916442778302557708797181585","297281527733125884655584987459927325322","127098708519785497398847414686070435506","193302606226479017233139283052133810573","215595140267773774166544441174932568125","153948387108833364756867655989716966062","327391601002554673007001163108496876288","255230087869496675388547235481969601575","238325416086423230356408834144075567325","227349058697614376854892756832711940744","155136578243499932017797863479122322328","111258445369099895133824697388502197491","152362756465152620400499443298513193442","334886541770339066414468540523715637722","67866051085290674572072515289887124510","90252765147335281043235080113911179837","284848704964007820585234558961426252273","82147212417454719247472788594198686681","298116568561167399364246026481271203150","323941713964312514745644827070516520933","335703027890676700019865271723565596223","194200868302626296962015425214326255458","328713243001783255455424877474048871963","3741817743859375806646484868039094100","298085457169152986279585284917524195977","130874777757399552603099575327729052616","294048588280656106576234409527873084443","88860560152146478013157851666996654685","336071370042393000566323640139770423598","159554367190569915040281998961602034006","32546652942388187259695104584061217223","8801114021060266359785059579449609545","266184495879894765918447621062588324562","166539300473366892867485180768990288335","21855903751239696725921843614001311858","311475034698728373807175211326425285551","276647899032315541723512808663905565438","275068224031338022543742381887305631793","236358530712655823846255364756928033442","41564079147985455475187082618575345802","104666310331619285421933809446058958089","191731927520510600044798770160799617201","140594602506581192563755680627385572324","135634926504979081930133789050558043584","240643311127999572882252638309142761689","45515042166043891021301216033615508400","34993083169477848936586329458784834138","216480873980158375525020745279795437443","134018166556245558971005041768712421017","188251452631702025733650419239995858551","104931023235525047876065397729716144783","287860962520706925182441447596336317522","336586485391497529330975381237547602609","148857274523933014109380509894484386728","72637298468868785861299642510631893351","136997015277731576059744379355268469985","138748555021771986670433809145094120620","47766541649709055933640950584059312218","117166782233941440647283166576635720554","80621016660351899730796784563643660457","180012292906500682381995111418444637678","30324134522397311713466858205142986475","200309850225757697344286834679600412587","339991590714289337497035154359565937575","165770497428974256522201773587554611002","191830199973871999415590142860425366272","50430038636653389467221355763466567723","250461857519599675404675376021228257009","8790374076472549087929773229105933251","191508865703388560380324048229571249418","142421322287832370995758565140173182870","9072241698309516481562821986554089806","313092966988510133988492019988958358616","90129677464218649243703190158011094092","257438220903073115999211009345080650606","149849786084921300407381255076969195332","310536501667505548849762215770552562044","312857083442841598379894485902645353479","330078968714207429269009445485728889125","161895561859935478787505338156284445247","69255610566338255354355888521847468476","143344491937278038386907797455513995059","17775779179924953501320525845810928713","141509619274583942212718348181943019412","253503509681844021036408440340049839889","324773258372995466476800184583579756341","322439596887545374155710073246958372630","34897615955429331501809699338624105332","123699284091272386656825129282519868273","51550287292790405477293574907978314035","153619135790223028780640422919134475049","290521722444489665421829273139279449694","79795237840109881458922962512580496581","258231188185904983821333915710875687231","15361650962619436252070549404001158636","116187183554984611435469809773772847498","214004905653283127852010233750735059945","256690949413584792885682533549103905640","175635752477047006575373844399275624130","14412908659903193430369657585857545244","295675853862281552745862527395677714854","35748969658072693985307428190739026515","331912453476649928004469795351400958030","290996703528227142375885494566186092335","1500127255105876488671568407760913743","168745813013205423122192392277236786870","100850102338830579785910476328065350629","250141825413530925201468967459382587329","167396325846039523554415615377385041662","268544755050587926166922634985577606745","140854037459886323517685951655688943697","254002692150374812120647707712166524639","85947661850714867599587154906245322726","207412493428518691903509958461610636239","304643335828794503469627570091049011228","134325484769473877221424035892417691978","45343112123222286064871107280125727608","324455135953105515085968547854921035483","18345722954731859488544428589403017975","152048567235304161858649921402000177042","157336592232198761363108512503261286185","212262786531692416568426098540284033913","14468998615185655143653159211880036787","84937641638297514533604070549669131215","97416276023442453699025092830738717017","205607792858468701506480872860224197482","285130085010361512194457883067983444643","240541966882027056635292054890841054861","134583414989471524505884924199299993851","110429361154956356327716533021139952310","24484100781447676989541191623488879655","244919589973217584797329939629866706559","54302021942741886530488176111491199927","34518876793971900944322960538060013382","89308010019644958438619423108370809201","218850739762875426749813105326028276831","7108487795411852090433292568766524142","96007063640144466193098077612501965365","175481869912911237299821073749977350864","285342029900307640914564851499945675030","187825653400459696312495802493402529802","219404815398113763666758061147467340866","124743005288710020061471580459007845838","31203319065969591251693436746703240533","16676031825788595897428312492839083737","234253952743612617898414089290114729262","37583111900556281665256140319578066412","285722364190573356203863064588983770845","234989174417727166603630287114881682756","89444862865156933896766627763660330393","275827711807627500421659085429033021494","210634841361883737292078124906705048202","117862110382673239350963501278485061377","142910169949896381660340578664541471140","140503095312138480286893284008413540330","260520694516217485421854768261713878287","298207783784993532175957050869109293588","128229376984634258425143010307219484233","108849991564877331735518898858850412659","16677449368452887781071317058513147516","68687517594815468997745009185605815155","108384125283524476056085041271215989914","33420326620164077207786020550295297350","28323316071572310138965402047268788083","227179613706297865750095336344785276313","151329366214555238634590775976039859273","56906637098618040506516201596534706620","288490513823513489317282329745523249566","111447563752800982182611463564963484754","138534122605318651181972143954246796844","139880685556852224891932690000431338985","130288922216381327055508781382843882272","4188292736107882388774446718067381135","301652389723319330785717992007461541670","5614290690107401653557842602528389079","167509139780458802008003595423142471507","53060431500602184989682269331116676479","276376417722473895410531909609528542179","289825664970214363539609965702741965977","180503510137672778198873815138854293143","287489677650433737858985929043027539345","292206242530338692248931732009436147129","20229128362364403608082479487760995835","44581952134711222105981761476894868798","25596069855408754138940376422343942401","314458038439775278042550734783739317535","12405483041776973699545436339318068248","139979603833328707288460729445520937787","213971982707549393937286815121983190173","81947687142179375890543376996969691537","299149493876139104105039879698799178917","238840807684472706358898004731205027138","302842444237955284011822034854226317141","137422590913067655684775069880595245018","264439606245340338390661065411354783232","52835748394116609951317522288758052845","73982937270815215244695610960085449753","140930415627630183457145491317288799613","113361499596993230495956965835866343373","192563093962635650877483184975138213288","237907448479264548905118698642857631606","124399613398363525425958808587241351353","119446415775553533050028527198934878178","284763315671562414664919756569034576848","244488509429731486630719893621338396030","324945193933933276231590417795814635090","139552442079817936142201251227339011060","28860665501837884914773781292509489565","52267255783540418274272300842618443109","298409492763704795094194999152824838830","215197673911287448726225193876487850808","259063048497659634195817581410687384337","214883827732268290422160647473771372400","36206526104549650850109998215497237185","280280771673029315660223886565611500485","144751747047109826284137277073315707495","167696589103946137795129277446332281703","312548725451199112908548040781673720689","216284149401362128982542869435807208676","84452696050846025926866001493036766359","284963745606376585921753388435246390740","117053227787090404271518287474659049859","125153496893153388086094442222077383623","213341850691668950518584066734605104943","324295064620281962408185699855964260804","131673045068624333810426224728166425759","141034562640391193851667398559283282700","165090618607791237850746774349035661008","216777514767848551918561313222380784757","131134199164726924447384643441646220367","240186067222198555939469671817551180594","333794940304647594569583778435614452560","222239523177609126289546020833552752030","37807594034387597915542991741871500933","310025735141454622076107802157479308518","66949586130054887550275837716061353587","65958402716850394094846286704051840523","276583178983098507950332188905672309481","202451553141211999901227146426621728701","267885417284501591593075472519289028757","335891397440288400935481730745177811870","27581704545277696926939007364812151290","27113051056198063291974026261681775462","104103987769825289678496202965417669820","37039254314941409295580037212897893924","119495998306798900043064782796229572456","117692081746494856078560261066954031198","20302162443578242228448445847221029837","217899044964799323375600817298862073426","61957028933543497890479966331683904547","312212244876318184750247807594285747950","244581560000994180495772343712025364449","65592707692156399491994661535221228884","250485477046029258010600392785098068721","214972277912234266516602007313195008316","65886164996632280314170322759185478705","274606103956229288913163997991862984042","211797416073660590809358950305303168715","120981870256506304565070078974522486760","179707038376677082667191808215317756414","217389864785963319800691015415063361586","194341799054278185496687865398556044663","152033127169051908613011962049892773558","298511095837673947286130307956454520523","142107098254248809613616023622880759668","25292040515678988103533240386463284072","85305732895716830954070931423723181550","201535675300721065727691246385334609385","278663692362076147002348783103335312255","248364179553176660646142128325148887836","121947753305692310703162154596098536862","19315701265094843063460707960037289575","200890783028911852735508740454454710758","126514884724818441857125735683217704190","183680101092923522165982735863721719278","56131483648134007277075800223686173407","269432305605749270525521424788665859416","296638926985182752656371704169056273937","265019296978521617327975137998218534653","91572446346769143384750083674508110161","162686268053572645553650724784135163784","298949030281568486938436176893158858345","282065203815620196865281249473073352076","320440071910960989662567711198949789935","336952952456655286755499787202011681387","83824477903639370440915364518964468009","247918262902555025346559418410773535990","294311540838959450556498269142055500531","55140528623722874698692980648979412012","73177505975536767474056392999218282957","317328665014128948577824616809261011448","151824065034676401393844830462947182124","192685090302051075435729413966800642810","333740768325743612523390099714916731064","113680765008323020544091264336881147196","139925109933478037179195178191805644448","21862154964211816360413871399105479190","339393499297024813001139159686650208049","169607741908630147743948500402785860542","214822753561240905088653015535884885312","64566796806193382546446375800615714260","301629136438640971193161817266822054388","328536461586191858162178473924813709008","94057409812109067451726238725948708916","217030600726298224246879143250249848539","265884189084588302997424572120551955635","337303696739760967249354790112979641361","304522344204257993800510647175102724284","283532967085802812408877261303614888426","70029872874920345351272799094927661045","31349905442103252913709915898999602232","76605156492144854872539945016225305614","282853742181799123708876591437886352120","24456874252215115431514785876874668335","70924348105463390458737171464158789697","99895318963496889990677556154475847149","9100420986941880984081609973670009091","232333780948302303530518986621388838424","305141962200182611330448926072821995807","231045091629424364687522895461103858258","160852657887126616756592647355548572101","279928841160752211645461994694427242051","18061027122745689161337776793488162054","190247986996411932771177236036052283491","284456599330958416344536773967526903908","265834505176847229272530196498879785322","90373557371400436374902665569217719506","309765305391458316858484985236800384660","149519771724990182809492742423693356153","233848683961134097700448440728501553524","221309272878317436319173956016827303018","238453799680196030134035717834004091489","115646510739259482671751367282977346580","266854975922678632261859065824838563115","326688364921370700593605983549760467110","6299990637865515562557003348667633111","6533543669221848075614930187829034005","98492177938599798522000036173726800729","50631241952061626566158896114407528618","129940333589610320097536621624387000680","215224083306520245054700778092274825937","258372309812727798410561269967917731314","232471676647264675303953576321373222471","876188521093957168596957652071271397","225098184039757572594572572518803021963","207568813066491564040855412295402337823","55713800830619570108887257632222989054","337576361883191520064008530039444699856","315677113234920177008641419802444465229","116723371935504152334844694182457271463","203330869600443177319899186044239746001","39012922306297425847069590775365824778","107996664926111800870537028639166258752","309949781093435104788376861038068516385","310241111306465078666584064625495581103","321506954070682074729564273175851719196","138798338343777194787648990659500796693","258632855220269266669107806204921802724","260653229400970592901983283201402590576","3900780265224279253464854062236778298","220347629425963442795629002429046652227","173626863092442641939415006177591840166","296428645614747643188774657505044053835","297760584854521821376860437153706691772","71864751620265153792020297629117188746","338994278847255979725105395659636814733","35072483077844184601973636490395323434","12320631899264502007463095745541736714","253664672102924036835264400242874565485","70410040314239863147396580300816877713","10091446194096825349049784299430858005","125596417872764785971786400111273298863","145421056153565800874693132760829736337","44319203516235828144702557218153258204","43118246631683893317003124657587086612","279316862947380614212001415297199147753","328045050475935876954129969528536486237","159072599534370577051982924465592094879","13692913567938227564868898194187450556","99595475098698977316589252345284597619","99014795689753685465615790429696069301","187594325713247367327520190617954862913","104331548533956656722475621959652501684","96910637720322817551849734644188213156","229716391387075270322061065277770558233","70300181805186731121060874056975646831","314240267120797704402366427505506329662","46649984432071405644980153261216590447","188500474328696390232480690297104503511","174990961769014623949688257657052082398","81567339559065966257807516118355413710","56846450581854452946467532244809733828","48478586434159712791495935427399643287","1256415273977204143280545174297431767","54067654068953886412718873346677633216","197609236293300965552941777235118959276","110890195411452892981224296162215150659","85304409029682963941636473816474844074","112119687350551548791271383663790335639","184415286583785223326727815201929388931","23730842702901648395391891826638522103","9374842355110771322628545695830275568","32808659469325572362457817381280730623","23573169488932102531218040105110476016","268010713944189789384012569568155070974","107238089195540892968897274168192701598","216882882140577712785078661125855449786","210919725499242129772456869190344088182","235203066201712350611951894970895416825","179788796840174057101858079050423659870","227081079893490088091191373861670900646","105368468903423547783794808891309324012","138089764411692630313435010685732556884","211766895707229556132402801954610959677","296585080811311794269027185466724490711","206323245852500920233163972670150681667","313613045621218710437810059131403421661","211759609221368013399034448562470065261","322964691970006101439898436747645371266","148374348491288804798473888378546484724","274651112796512046236017518024320475870","32616616251815614050330976551347437242","99409917892325398094617748652931988381","120624685081479080472542019848259857061","293705704366165640936561319883315118591","13804792008291737541048222513844046033","21097055849114326386262528052627033385","274885089754158608422478816108301692168","315266417376376227014541973307411692849","180570184024082908171527194953821488865","120950273255997091336911219344463895203","184357120265571357064505667079298586306","35709861952024971290997337042854237027","264379990726994124086328094570617914633","139080357183085594981534044871606488318","287772727248039401583418080528623962756","300150174487481320340532574500097885939","331743191444359867851804836310292731731","206813489407592928920965497044846707060","194974129723040962022498740591455308592","287314198258428858488870858414268479080","302438365966139958170627426851840162161","270759118302492861656070990621812164987","297179237769277985070400029944708063138","268889171110365989282249974027784484545","68349020372109213025773855125801303947","286586174630580174830045667209960752277","3278471137512108031366653215058227863","1863012370880230597291680173161219137","217700883015148662748340259596508869556","273141009678087357860049528150604201718","306255603327277509707800056071261169532","260762421993672909747086570470244476815","172055350245466473110574807599902099484","23298456832303137673637075847056629501","259696817936728266041931911180808901861","314779468295525264153537215037275595720","163499711920701247157997195646459775863","271243166528455021061736832195156460842","111825845257867596559782847592224697162","185056277740205286441466922609302912722","24531237081041307368790187252895981092","310339925705703292448199812623419707874","53997277843953616318585413805006355424","169793444889361126376043949684336530634","89755149971969649508152537746613316486","294095112839109785922255498540657036842","68747019752830682259478006421866850004","193458365226381999303495730527550302878","238310064353873151295180917563469931835","331931019917038231762421646016438433278","337157352934118240785140594933034376502","56373729080660070444146267252114323817","153606456091309997577472205359968865000","308934544327661459302747725453950966208","10424444362327125151135826971253796094","92365691927180329719878281901626007290","122975511657456963801407861068758378231","293791545563586653101179940117823211347","187378533534564349283429163736789298198","291302792509227207645951069513696228815","154903517388088329244402951779896391624","302056973383634117067468613355433954310","213257542438395226089603616073122783527","269588208282284487939991265845569251893","16997467231895171035049952089467779377","231309334720384467046898477729621031849","25475796610356306417145819113667313928","278755173148829827097757986380268790626"]},"deprecated":false,"id":"CVE-2021-43610-146984d5","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"file":"src/grammars/belle_sip_messageParser.c"}},{"signature_version":"v1","signature_type":"Function","digest":{"length":563,"function_hash":"150802311594883918880969341242023001504"},"deprecated":false,"id":"CVE-2021-43610-29e7c622","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"function":"belle_sip_provider_find_dialog","file":"src/provider.c"}},{"signature_version":"v1","signature_type":"Line","digest":{"threshold":0.9,"line_hashes":["209251168763882749205376429982552742727","90198034440685036360783940372193256395","291090857234738406917324024745859354916","67267214525511026182170599192386494880"]},"deprecated":false,"id":"CVE-2021-43610-386a2f54","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"file":"src/dialog.c"}},{"signature_version":"v1","signature_type":"Function","digest":{"length":304,"function_hash":"323329968801245016927170343732208018490"},"deprecated":false,"id":"CVE-2021-43610-42127219","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"function":"belle_sip_string_to_backslash_less_unescaped_string","file":"src/belle_sip_utils.c"}},{"signature_version":"v1","signature_type":"Function","digest":{"length":597,"function_hash":"27352060450199097485221664891686775952"},"deprecated":false,"id":"CVE-2021-43610-6473eb1d","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"function":"test_from_header_with_paramless_address_spec","file":"tester/belle_sip_headers_tester.c"}},{"signature_version":"v1","signature_type":"Line","digest":{"threshold":0.9,"line_hashes":["283554909371228954935969561308411300436","286352323337118206735222353008053817970","337932117649637896919090209878210788513","310160059647927689078096494120962186632","166225137331779823244451723206073188883","163651625449706076360781671581706594859","331911553825576066496568531263075700973","288060100016802004067297683884908190858","119357412524094423901037969821521896830","175719506474772717558102177590495219878","36869481424258303429450935266766722428","93563370826763517695527032555148768761","68808623858985477531150781265184127490","27021942713547330627510010006496312374","122467623522269794972771164765221766329","123136412904143978982576771573868845763","176761689664492252384184050323730655950","181114634687287187636401646050204286736","178977846625240779446560646622145869277","117722700770406670946649118460233396345"]},"deprecated":false,"id":"CVE-2021-43610-65e0264e","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"file":"src/provider.c"}},{"signature_version":"v1","signature_type":"Line","digest":{"threshold":0.9,"line_hashes":["61007910358080785207657953696653954706","101665745494959403130770981717743032789","203326959558830498508317395437380321978"]},"deprecated":false,"id":"CVE-2021-43610-718c726a","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"file":"include/belle-sip/provider.h"}},{"signature_version":"v1","signature_type":"Function","digest":{"length":312,"function_hash":"158591144519037664648067895005219754113"},"deprecated":false,"id":"CVE-2021-43610-760f7e1b","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"function":"_belle_sip_dialog_match","file":"src/dialog.c"}},{"signature_version":"v1","signature_type":"Function","digest":{"length":1031,"function_hash":"291414089165595966700003870616696310457"},"deprecated":false,"id":"CVE-2021-43610-83ace7c4","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"function":"channel_on_sending","file":"src/provider.c"}},{"signature_version":"v1","signature_type":"Function","digest":{"length":1761,"function_hash":"185906642872315597015050181788586784806"},"deprecated":false,"id":"CVE-2021-43610-e2bfcd3a","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"function":"generic_uri_for_from_to_contact_addr_spec","file":"src/grammars/belle_sip_messageParser.c"}},{"signature_version":"v1","signature_type":"Line","digest":{"threshold":0.9,"line_hashes":["264951003621717639317520193050992383777","128826270630819064885588330259393261996","302070616902971699191060296259206301909"]},"deprecated":false,"id":"CVE-2021-43610-e7621116","source":"https://github.com/belledonnecommunications/belle-sip/commit/d3f0651531e45e91c2e60f3a16a8b612802e5d2d","target":{"file":"tester/belle_sip_headers_tester.c"}}],"source":"https://storage.googleapis.com/cve-osv-conversion/osv-output/CVE-2021-43610.json","vanir_signatures_modified":"2026-04-11T18:45:40Z"}}],"schema_version":"1.7.5","severity":[{"type":"CVSS_V3","score":"CVSS:3.1/AV:N/AC:L/PR:N/UI:N/S:U/C:N/I:N/A:H"}]}