Certificato AgentReady.md verificato
Emesso il sig: b9942b918d4cc8bf Verifica →

URL analizzato

Http://Woogie.de

Misurato 2 settimane fa

Analizza un altro URL

Punteggio AI-Ready

Scarso

su 100

Risparmio di token

Token HTML 14.114
Token Markdown 13.107
Risparmio 7%

Dettaglio del punteggio

HTML Semantico 70/100
Efficienza dei contenuti 60/100
Scopribilità IA 15/100
Dati Strutturati 10/100
Accessibilità 100/100

Protocolli emergenti

0 di 6 rilevati

Endpoint well-known cercati dagli agenti IA. Rilevato significa che un agente può scoprire e connettersi automaticamente al tuo servizio.

  • OAuth Protected Resource RFC 9728
    /.well-known/oauth-protected-resource
  • OAuth Discovery RFC 8414
    /.well-known/oauth-authorization-server
  • MCP Server Card SEP-1649 draft
    /.well-known/mcp/server-card.json
  • A2A Agent Card A2A v1.0
    /.well-known/agent-card.json
  • API Catalog RFC 9727
    /.well-known/api-catalog
  • Agent Skills index Discovery RFC v0.2.0 draft
    /.well-known/agent-skills/index.json

Non resta fermo da solo. Il monitoraggio non esiste ancora: iscriviti e ti avvisiamo quando c'è.

Sei nella lista! Ti avviseremo quando sarà disponibile.

Cosa abbiamo misurato No llms.txt found

Il tuo sito non ha un file llms.txt. Questo è lo standard emergente per aiutare gli agenti IA a comprendere la struttura del tuo sito.

Come implementare

Crea un file /llms.txt seguendo la specifica llmstxt.org. Includi una descrizione del sito e link alle tue pagine principali.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato Missing <article> and <main> elements

La tua pagina non utilizza elementi <article> o <main>. Questi contenitori semantici aiutano gli agenti IA a identificare l'area del contenuto principale e ignorare navigazione, barre laterali e piè di pagina.

Come implementare

Aggiungi un elemento <main> attorno al contenuto principale della tua pagina e usa <article> per blocchi di contenuto autonomi come post del blog o descrizioni di prodotti.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato 7% token reduction (HTML→Markdown)

La conversione HTML-a-Markdown mostra un basso rapporto di riduzione token. La tua pagina ha markup eccessivo rispetto al contenuto.

Come implementare

Rimuovi markup non necessario, stili inline ed elementi presentazionali. Mantieni HTML focalizzato sul contenuto che si converta in modo pulito in Markdown.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato No Markdown for Agents support detected

Il tuo sito non supporta Markdown for Agents. Questo standard Cloudflare permette agli agenti IA di richiedere contenuti in formato markdown, riducendo l'uso dei token di ~80%.

Come implementare

Implementa uno o più: (1) Rispondere a Accept: text/markdown con contenuto markdown. (2) Servire URL .md (es: /pagina.md). (3) Aggiungere tag <link rel="alternate" type="text/markdown">. (4) Aggiungere header HTTP Link per la scoperta markdown.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato No robots.txt found

Il tuo sito non ha un file robots.txt. Questo file controlla come i bot (inclusi gli agenti IA) accedono al tuo sito.

Come implementare

Crea un file /robots.txt che consenta l'accesso alle tue pagine di contenuto. Includi una direttiva Sitemap che punti al tuo sitemap.xml.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato No sitemap found

Nessuna sitemap trovata. Una sitemap aiuta gli agenti IA a scoprire tutte le pagine del tuo sito.

Come implementare

Crea un /sitemap.xml che elenchi tutte le tue pagine pubbliche. La maggior parte delle piattaforme CMS può generarla automaticamente.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato No Content-Signal found (robots.txt or HTTP headers)

Nessuna direttiva Content-Signal trovata. Queste indicano agli agenti IA come possono usare i tuoi contenuti (indicizzazione, input IA, dati di addestramento). La posizione consigliata è robots.txt.

Come implementare

Aggiungi Content-Signal al tuo robots.txt: User-agent: *\nContent-Signal: search=yes, ai-input=yes, ai-train=no. Puoi anche aggiungerlo come header HTTP nelle risposte markdown.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato No JSON-LD / Schema.org found

Nessun dato strutturato Schema.org trovato. JSON-LD aiuta gli agenti IA a estrarre informazioni fattuali e strutturate dalle tue pagine.

Come implementare

Aggiungi un blocco <script type="application/ld+json"> con markup Schema.org. Usa tipi appropriati: Article per post del blog, Product per pagine prodotto, Organization per la pagina aziendale.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato 0/3 OG tags present

Tag Open Graph mancanti o incompleti. I tag OG aiutano gli agenti IA (e le piattaforme social) a comprendere titolo, descrizione e immagine della tua pagina.

Come implementare

Aggiungi i meta tag og:title, og:description e og:image nel <head> della tua pagina.

Incollalo in un agente di codice per applicare la correzione

Cosa abbiamo misurato No canonical URL

Nessun URL canonico trovato. Questo aiuta gli agenti IA a identificare la versione preferita di una pagina ed evitare contenuti duplicati.

Come implementare

Aggiungi un tag <link rel="canonical" href="..."> che punti all'URL canonico della pagina.

Incollalo in un agente di codice per applicare la correzione
Token Markdown: 13.107
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
................................................................................................................................................................................................,.....................................,...................
...............................................................................................................................................................................................,,....................,................,.,.................
......................................................................................................................................................................................,,..,,...,....,....,.,..,..,...,...........,..,,....................
.........................................................................................................................................................................,.......,,.,,,,,.,,,,,,..,,,,,,,,,,,.,.,.,.,,,...,,..,..,,..,....,.,.............
.......................................................................................................................................................................,.,.,..,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,.,,,,,,,,.,,,,,,,,,.,,..........
.................................................................................................................,,..............................................,,..,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,.,..,,...,.,...,....
.........................................................................................................,,....,,,,,..........................................,.,,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........
......................................................................................................,,,,,,:::,,,.,,.......................................,.,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,,,,,...,,..,..
....................................................................................................,,::::::::++::,,,...................................,.,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,.,,,...
...............................................................................................,,,,::+++++++:::+++:,,::,,,,.............................,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,,,..
.............................................................................................,,,::++%%%%%%%%++++%%++:+++++:,,,,,......,,...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,.
...........................................................................................,,,::+%%%%%%%%%%%%%%%%%%%%%%%%%++:,,,,...,,,,.....,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,
..........................................................................................,,:+%%%%%%%%%%%%%%%%###%%%%%%%%%%%%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.....................................................................................,,,,,:+%#####%%%%%%##%%%%######%%%%%%%%%%%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
....................................................................................,,,,,:+%%########%%%#####%########%%%%%%%#%%%%%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.................................................................................,,,,,::+%%%%####################@#######%%%#####%%#%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...............................................................................,,,:++++%%%#######%############@##@@@@@###############%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
............................................................................,,,:++%%%%%%#####################@@@@#@@@@@@@@@####@@@#####%%++::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..........................................................................,,,:++%%%%%######@@##########@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#####%%+++::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................................................................,,::+%%%%%%#%######@@##########@@@@#@@@@@@@@@@@@@@@@@@@@@@@@@####%%%%+++:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.......................................................,,...............,,:++%%%%%%#########@@@#######@#@@@@@@#@@@@@@@@@@@@@@@@@@@@@@@#@######%%%++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...........................,..................,..,,,,,,,,,.,,....,,..,,,,:+++%%%%#%#####@@##@@@@@#########@@@#####@@#@@@@@#@@@@@@@@@@@@@@@######%+++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..........................,,,,,............,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%#%%#####@##@@@@@@@@@@@@#########################@@@@@@@@@@@@@@####%%%+:::::,,,,,,,,,,,,,,,:,,,,,,:,,,,:,,,,,,,:,,,:::,::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................,,,,,:,,,,.....,,.,,,,,,,,,,,,,,,,,,,,,,,,.,,,:+%%%%%######@@@@@#@@@@@@@@@####%%%%%%%%%%%%%%%%%%#%######@@@@@@@@@@@@@###%%%+::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::,,,,,:::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...............,,,,.....,,,,,::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%%%########@@@@@@#@@########%%%+++%%+++++++++%%%%%%%%%%%####@@@@@@@@@@###%%++::::::,,,,:,:::,:,,:,:,,,:,::,,,:,,,::::,,,:,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...............,,,,,,,..,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%#%###@@@@@#@@@@@@@#####%%%%++++++++++++++++++++++++++++%%%###@@@@@@@@@##%%%++::::::,,,,,,:,:,:,,,::,::,::,::,::::::::::::,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,
.............,,,,:::,,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%#%#####@@@@@@@@@@@##%%%%++++++:::::::::::+:++++++++++++++++%%%##@@@@@@####%%%+::::::::,,::,:::,:::::::::::::,::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,
.............,,,:::::,..,,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%########@@@@@@@###%%%++++::::::::::::::::::::+++++++++:++++++%%%#@@@@@@####%%%+::::::::,:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%###@@@#@@@@@@##%%+++:::::::::::::::::::::::::::::+::::::++++++%%##@@@@@@###%%++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,::::::,,,,,,,,::,,,,,,,,:::::,,,,,,,,,,,,,,,,,,,,,,,,,:+%%##@@@@@@@@###%%++::::::::::,:::::::::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,:::,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,::+%%####@@@@@@#%%+:::::::::::,,,,,,:::,,::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,::::::,,,,,,,:::::,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@@##%++:::::,::::,:,,,,,,:,,,,,:::::::::::::::::::::::::+++++%##@@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,:::::,,,,,,::::::::,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@##%++:::::,,,:,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%%#@@@@@##%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,::::::,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,:%%#####@@###%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%##@@@@##%%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,::::::,,,,,,::::::::,,,:,,,,,,,,,,,,,,,,:+%#####@@###%+:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++%##@@@@##%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,
...........,,,,,:::::,,,,,,,::::::,,,,,::::::::::,:,,,,,,,,,,,,,,,,::%######@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::++:++%##@@@##%%%+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::::::,,,,,,,,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::,,,:,,,,,,,,,,,,:+%####@@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+:+++%#@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::+::::::::+::::::::::++:::::,,,,,,,,,,,,,,,,,,,,,
..........,,,,::::::,,,,,,,,::::::,,,,,,:::::::::::::::,,,:,,,,,,,,:+#########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::++++##@@@####%%:::::::::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::+:::::,,,,,,,,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::::::,::,:,,,,,,::%########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::+++%##@@#####%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:::::,,,,,,,,,,,,,,,,,,,,
...........,,,,:::::,,,,,,,,::::::,,,,,:::::::::::::::::::,:,,,,,,:+%#######%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::+++%#@@######%+::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:,:,::++:::::,,,,,,,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,:::++:::::::::::::::::,:,,::+%######%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%##@@#####%+++:::::::::::::::::::::::::::+++::::::::::++::::::::::::,,,,,,:+++:::::,,,,:,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,:::+++:::::::::::::::::::,::+%%#####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:::::::::::::::::::::::::::+++%########%++::::::::::::::::::::::::::::+++::::::::::++::::,:::::::,,,,,,::+++:::::,,,:,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,:::++++:::::::::::::::::::::+%%####%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,:::::::::::::::::::::::::::::++%###@#####%++::::+:::::::::::::::::::::+++++:::::::::+++:::,:::++::,,,,,:::++::::::,,,,:,,,,,,,,,,,,,
..........,,,,,::::,,,,,,,,,::+:::,,,,,::++++::::::::::::::::::::::+%%####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::+++%########%++::::::::::::::::::+:::::::++++:::::::::::++:::,:::++:::,,,,,::++::::,,,,,,::,,,,,,,,,,,,
..........,,,,,::::,,,,,,,,,::+:::,,,,,:::+++:::::::::::::::::::::+%%%%##%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::::::::::::::::::::::::::::++%########%%+::::::::+++:::+:::::::+::::++++::::::::::++::::,::+++::,,,,,::++:::,,,,,,,,,,,,,,,,,,,,,
.........,,,,,:::::,,,,,,,,:::::::,,,,,:::::+:::::::::::::::::::::+%%%###%::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::,::::::::::::::::::::::::::::++%%########%+:++::::+++:::+++:+::++:++++++++::::::::::++:::::::+++::,,,,,::+++:::,,,,,,,::::,,,,,,,,,
.........,,,,,:::::,,,,,,,,:::+:::,,,,,:::+++:::::::::::::::::::::%%%%#%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::::++%#########%++++++++++++++++++:+++::+++++++::::::::::+++::::::+++:::::,:::+++::::,,::::::,:,,,,,,,,,
........,,,,,,:::::,,,,,,,,::+++:,,,,,,,::+++::::::::::::::::::::+%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%#########%++++:++++++++++++++++++++++++++::::::::::+++::::::+%++::::::::+++:::,,,,:,,::::,,,,,,,,,
........,,,,,::::::,,,,,,,:::++::,,,,,,:::+++::::::::::::::::::::+%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::+++::::::+%%+::::::::+++:::,,,,:::,,:::,,:,,,,,
.......,,,,,,::::::,,,,,,,:::+++:,,,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::++++:::::+%%+::::::::+++:::,,,,::,,:,::,:,,,,,,
......,,,,,,,::::::,,,,,,,,::++::,.,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%%##########+++++++++++++++++++++++++++++++:::::::::+%++:::::+%%++::::::::++::::::,,,,:::::,,:,,,,,
......,,,,,,,::::+:,,,,,,,,::++::,,,,,,::++++::::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::++%%##########%++++++++++++++++++++++++++++++:::::::::+%%+:::::++++:::::::::+++::::,,,,::::::,,::,,,,
......,,.,,,,,:::+:,,,,,,,,::++::,,,,,:::++++::::::::::::::::::::+%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::++%##########%+++++++++++++++++++++++++++++++::::::::+%++:::::::+::::::::::+++:::::::,::::::::,:,,,,
........,,,,,,:::+:,,,,,,,,::++:,,,,,,:::++++:::::::::::::::::::++%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::+:::::::::::::::::::++%%#########%+++++++++++++++++++++++++++%++++:::::::+%+:::::::::::,:::::,::+:,,:,,,,,:,::::::::,:,,
.........,,,,,:::::,,,.,,,,::++:,,,,,,:::+++++::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++++:::::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,::,,,,,,:::,,,:,,:,,,::::::::,:::,
.........,,,,,::::,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::++++++++++++%%+++++::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,,,,:,,,,:,,,,:,:,,,,,,,,::::::,:::
...,.....,,,,,::+:,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,:::::++++%%%%%%%%%%%%%%%+++::::::++%%##########%++++++++++++++++++++++++++%+++++:::::::::::::::::::::::::::::,,::::,,,,,,,,::::::,,,,
,...,.,..,,,,,::::,,,.,,,,::+++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,::::::::+++++%%%%%%%%%%%%%%%%++++::::+++%%#########%++++++++++++++++++++++++++%+++:::::::::::::::::::::::::::::,,,:::::,,,,,,,,,:::::::::
....,,,.,,,,,,::::,,,,,,,,::++:,,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,::::::::::+++++%%%%%%%%%%#%%%%%%%%%++:::+++%%#########%++++++++++++++++++++++++++%++++::::::::,::::::::::::::::::,,,:::::,,,,,,,,,,::::::::,
.....,,,,,,,,:::+:,,,,,,,,::++:,.,,,,,::+++++::::::::::::::::::+%%%%%%+::,,,,,,,,,,,:::++++++++:::::,,,,,,,,,,:::::::::+++++%%%%%%%%%%%%%%%+%%%+++++:::+++%#####@@###++++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,,::::::,,,,,,,,,,,::::::::
,...,,,..,,,,:::+,,,,,,,,,:+++:...,,,,::++%++::::::::::::::::::+%#%%%%+::,,,,,,,,::::++++++++++++::::::::,,,,,,:::::::+++++++++++++++:::,,,,,,,,,,,,,,::++%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,:::::,,,,,,,,,,,,:::::::::
,..,,:...,,,,,:::,,,,,,,,,:+++,..,,,,,::++%++::::::::::::::::::+%%%%%%+::,,,,,,::++++%%%+++%%++++::::::::,,,,,,::::+++++++++++::::,,,,,,:::::::::::::,,,:+%#####@@###%+++++++++++++++++++++++++%++++:::::::::::::::::::::::::,,:::::,:,,,,,,,,,,,:::::::::
,.,,,,...,,:,:::::,,,,,,,,:+++,..,,,,,::++%+::::::::::::++::::++%%%%%%++:,,,,,:+++%%%%%%%+++++++++::::::::,,,,::::+++++++++::,,,::::::::::::::++++:::::,:+%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::,,:::,,::,,,,,,,,,,,,,,:::::::
,...,:,,,,::::++++,,,,,,,,:+++,..,,,,,::+%%+::::::::::::::::+:++%%%%%%++:,,,,:+++++++%%+++++++++++::::::::,,,,::::++++++::,,::::::::::::::::::+++++++::::+%%####@@####+++++++++++++++++++++++++%%+++::::::::::::::::::::::,,,,::::,,:,,,,,,,,::,,,,,::::::
,..,,,,,,,,,::+%+:,,,,,,,:+++:,.,,,,,,:++%%+:::::::::::++:::+:++%%%%%%++:,,,::+%%++++:++++++++++++++:::::::,,,:::+++::,,,,:++::::::::::::::::::+++++++:++++%####@@####%++++++++++++++++++++++++%%+++:::::::::::::,::::::::,,::::,:,,,,,,,,,,,:,,,::,::::::
,..,,,,,,,,,::++,,,,,,,,,::+%:,.,,,,,::++%%+:::::+::+::+:++::+++%%%%%%+::,,,::++++::,,::::,:::::::::::::::::::::::,,,,,:++++::::::::::::::::::::++++++:++%%%%#########%++++++++++++++++++++++++%%++++::::::::::,:,::::::::,:::,,::::,,,,,,,,,,,,,,,:::::::
,..,,,,,,,,,,:::,,,,,,,,,,:++:,,,,,,,::++%%+:::::::+::+++:+:+++%%%%%%%+::,,,::+::,...........,,,,,,,,,,,,,.....,.,,.,,++++++:::++++::++++++::::::++++++++++%%%###@@###%++++++++++++++++++++++++%%+++::::::::::,,,,,:::::::::::::,,,,::,:,,,,,,,,,,,,,:::::
,,,,,,,,,,,,,,::,,,,,,,,,,::+:,,,,,,,::++%%+:::::::::++++:+++++%%%%%%%+::,,,,.......,,,,::::::::::::::,,...  ..,,,,,,:+++++++++++++::++:++++++:::++++++++++%%%%##@#####%++++++++++++++++++++++%%%+++:::::::::::::::::::,,::::::::::,,:,,,,,,,,,,,,,,::::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,::++%%+:::::::::++++++++++%#%%%%%+:,......,:,,,:,,,,::::::+::+:++::,.....::+::,,:+++++++++++++%%%%%+++++++:::+++++++++%##%#@@#####%++++++++++++++++++++++%%%%++:::::::::::::::::::,:,,::::::,,,,,,,,,,,,,,,,,,,,,::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::+::::++++++++++++%%%%%%:.....,::::,,,,,,,,:::++++++++++::,.,,:::++++:,,+%%%%%%%++%%%######%%+++++::::+++++++%######@@###%+++++++++++++++++++++++%%%++:::::::::::::::,,,:,,,,,:::,,,,,,,,,,:,,,,,,,,,,,,::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::::::+++++++++++++%%%%%+...,::::::,,,,,,,,:::+++++%%+++++:,,:::::::+++,,+%%%%%%%%%+%%%#####%%%%%+++::::++++++%##@##@@@@##%+++++++++++++++++++++++%%%++::::::::::::::::::::,,,,::,,,,,,,,,:,:,,,,,,,,,,,:::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%%%::::::::+++++++++++++%%%%%:.,::+++:::,,,,,,::::++%%%%%%%%%++:,,:::::::+++:,+%%%%%%##%+%%%###%%%%%%#%+++:::++++++%##@@###@@##%+++++++++++++++++++++++%%%++:::::::::::::,,:::::::,,:,,,,,,,,:,::,,,,,,,,,,,,,::::
:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::+%%+::::::+++:++++++++++%##%#%:,::++++::,,,,::::++%#####%%%%%%%++,::+::::::+%+,:+%%%##%%%++%%%%%%++++%%%%++:::++:+++%##@@@####@##%++++++++++++++++++++++%%%+++:::::::::::,,:::,,:,,,:,,,,,,,,:,,,,,,,,,,,,,,,,,,:::
::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+::::::+:+:++++++++++%##%%%+:+:++++::,,,::::+%%%%###%%%%#%%%+:,:++:,,:::+++::+%%%%%%%++++++++++++++++++++:::::+++%###@@@@#####%%+++++++++++++++++++%+%%%+++:::::::::::,:,,,,,,,,,,,,,:,,,::::,,,,,,,,,,,,,,,,,::
:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+::::::::++++++++++++%##%%%+%++++++:,,,:+++%%%%%%####%%%%%%%+:,:+:,,,:::++%+++%%%%%%++++++++++:::++:++::::::::+++%####@@@@####%%++++++++++++++++++%++%%%%++++:::::::::::,,,,,,:,,,,,,,,,,:,:,,,,,,,,,,,,,,,,,,,:
:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+:::::::+:+++++++++++%###%%%%+++++:,,,:++%%+++++%%%%%++++++++:,+%:,,,::::++%++%%%%%%%%+++++++++++++++++::::::::++%%####@@@#####%+++++++++++++++++++++%%%%++++::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::
:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+:::::+++++++++++++++%##%%%%%+:+++:,,:+++++:::::+++++++++++++::++:,,,::::+++++++%%%%%%%+++++++++++++++:::::::::++%%####@@M@###%%+%%%+++++++++%+++++++%%%%+++::::::::::::::,,,,,,,,,,,,,,,,:,,,,,:,,,,,,,,,,,,:::
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+::::::++++++++++++++%##%%%%%++++%:,,::::::::::::::++++++++++::::,,,::::::+++++++++%%%%+++++++++++::::::::::::::++%#####@M@@##%%++%%+++++%%++%++%+++++%%%+++:::::::::::::::,,,,,,,,,,,,,,,,,,,,:,:,,,,,,,,,,,,,:
:::,,,,,,,,,,,,,,,,,,,,..,,,,,,,,,:::+++%%+::::::+:+++++++++++%%%%##%#%%++%+:,,:::::,,,::::::++++++++:::::,,,,::::::++++++++++++++++++++++++:+::::::::::::++%#####@@@@###%%+++%++++%%+++++%++++%%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,,,,,,,,:,,,,,,,,,,,,,:
::::,,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%%+::::::+++++++++++++%%%%#####%++%%:,,,,,,,::::::+++++++++:::::::,,,,:::::::+++++++++++++++++++++++::::::::::+:::++%%#####@@@@##%%+++%%%+%%+%%%+++%%%%+%%%+++:+:::::::,:,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,::::,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%+:::::++++++++++++++%%%%#####%++%+:,,,,,,,,:::++++++++::::::::::,,,,::::::::++++++++++++++++++++:::::::::::::+:::+%%######@@@@##%%+++++%++%++++%++%+++%%%+++++:::::::::,,,::,:::,,,,,,,,,,,,,::,,,,,,,,,,,,:,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::++++++++++++++%%%######%++++:,,,,,,,::::+++++::::::::::::,,,,,,::::::+++++++++++++++++:::::::::::::::::++::++%%######@@@#%%%%%+%%++%++++++%++%%++%%%++++::::::::::,,:,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::+:++++++++++++%%#######%+:++,,,,,,,,,,,:::::::::::::::,:,,,,,,,,::::::+++++++++++++:+:+::::::::::::::::::::++%########@##%%%%++++%+++++++++%+%%++%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,::::,,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%%::::::::++++++++++++%%##@#%%#%::::,..,,,,,,,,,:::::::::::::,,,,,,,,,,,:::::::++:::+++++:+++++:::::::::::::::::::::+%%##########%%++%+++++%%+%%+++++%++%%%%+++:::::::::::::,:,,,,,,,,:,,,,,:::::,,,,,,,,,,,,,,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+:::::::+++++++++++++%%####%%#%:,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,:::::::::::++++::::+::+:::::::::::::::::::::++%########%#%%%++%+%+%++%++%++++%+%%%%%+++::::,,::::::::,,,:,:,:,:,,,,,,,,,::,:,,,,,,,,,,,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::++%%+:::::::+++++++++++++%%##@#%%%%:,,,,,,,,,,,,,,,,::::::::,,,,,,,,,,,,,,,::::::::::+++++++:::::::::::::::::::::::::::++%######%%%%%%%+++%%%+%%%++++%%%%%%%%%%++:::::::,::::,:::,::::::::,:::,,,,,::,:,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,.,,,,,,,,,,,,:::::++%%+:::::::+:+++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,:::::::::++++++++++:::::::::::::::::::::::+::+%%#####%%%%%%%%%++%%%+%%%%+%%%%%%%%%%%++::::::::::::,:::::::::::,,:::,,,,,,:,:,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,::::::::++%%:::::::+:++++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++::::::::::::::::::::::::+%%#%%##%%%%%%%%%%%%%%%%+%%+%%%%%%%%%%%++::::::::,::,,:,::::::,:,,,,,,,,,,,,,::,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,.,,,,,,,:::::::+:+%%+::::::::+++++++++++++%%%##%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:+++++++++++::::::::::::::::::::::++%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%++::::::::::::::,,::::::,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,::::::++++%+::::::+:++++++++++++++%%%%%++++,,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,::::::::::++:+++++++++:::::::::::::::::::::::+%%%%%%%+%%%%%%%%%%%%+%%%%%+%%%%%%%%%++::::::::::::::,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,,:::::++++%:::::::+++++++++++++++++++%%++++,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,::::::::::::::++++++++::::::::::::::::::::::+%%%%%%++%%%%%%%%%+%%+%%%+%%%%%%%++++++::::::::::::::::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::+:++++%:::::::+++++++++++++++++++++%++:,,,,,,,,,,,,,,,,,,,,,:::,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++:::::::::::::::::::::+%##%%%+++++%%%++++++++++++%+%+++++++::::::::::::,:,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,,,:::++++%+:::+::::+++++++++++++++%+:++%%+:,,,,,,,,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,,,::::::+::+:::::++++++++++::::::::::::::::::::+%%%%%%%%+++++++++++++++++++++++::::::::::::::::::,:::,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%:::::::::++++++++++++++++++%%%+:,,,,,,,,,,,,,,,,,,,,:::::,,,,,,,,,,,,,,,,::::+++++++++++++++++++++::::::::::::::::::::+%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,::::++%%%::::+::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,:::::+++++%##%%%++++++++++++:::::::::::::::::::+%%%%%%%%+++++::::::::::::::::::::::::::::::::,:::,,,,,,:::,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,:
:::::::,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,::::::::,,:++++:::,,:::::+++%%###%%%%%+++++++++++++:::::::::::::::::+%%%%%%%%+++++:::::::::::::::::::::::::::::::,,,,:,,,,,,:::,,,,,,,,,,,,,,::::,,,,,:,,,,,::::
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,:::+:::::::+++++++:::::::+++%%%%%%%%%%++++++++++++++:::::::::::::::::+%%%+%%%%+++++::::::::::::::::::::::::::::,,:,,,,,,,,,,,,:,,,,,,,,,,:,,,,,,:::,,,,,,,:::::::
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::+++++:+++++++++++++++++%++:,,,,,,,,.,,,,,,,:::++:::::,:::::::::::::++++++%%%%%%++++++++++++++++++:::::::::::::::++%%%++%%+++++++::::::::::::::::::::::::,:,,:,,,,,,,,,,:,,::,,,,,,:,,,,,,,,,,::,,::::::::::::
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%::::::++++++++++++++++++++++%++:,,,,,,,,,,,,,,,,::+++::,::,,,:::::::::::+++++++%%%+++++++++++++++++++++:::::::::++:::++%%+++%%+++++++:::::::::::::::::::::::,::::::::::,,,,,,,,,::::,,,,,,,,,,,,:,:,:,,::::,::::,,
::::::,,,,,,,,,,,,,,,,,,,,,,::::::::++%%::::++++++++::::::::::::::++%++:,,,,,,,,,,,,,,,:::++:::::,,,,,::::::::::++++++++%%+++%+++++++++++++++++++::::::+++:++++%%%++%+++++++++:::::::::::::::::::::::::::::::::,::,:,::,:,,:,,,,,,:::::::,::::::::::,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,::::::::::::+::::::::::::::::::::::::::+++++:,,,,,,,,,,,,,,,:::++::::,,,,,,::::::::::++++++++%+++++++++++++++++++++++++::::+++++++++%%%++++++++++++++++++++++:::::::::::::::::::::::::,::::,:,:::::,,,:,,,:::,::,,,:,:,:,,,,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::,::,,,,,,,,::::::::::+++++,,,,,,,,,,,,,,:::++:::::,,,,:::::::::::::::+++++++++++++++++++++++++++++++++:::++++++++%%%++%%%%%++++++++++++++++++:::::::::::::::::::::::::::::,::::::::::::::::::::,:,,:,,,,,,,,
,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::,:,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::+++:::::,,,,:::::::::::::::++++++++++++++++++++++++++++++++++:+:+++++++%%+++%%%%%%%%%%+++++++++++++++++::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::++:::::,::,,::::::::::::::::++++++++++++++++++++++++++++++++:+++++++++++%++%%%%%%%%%%%%%%%%%%%++++++++++::::::::::::::::::::::::,::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::,:,,,,,,,,,,,,,,,:::::::::::++++,,,,,,,,,,,,,:+++:::::::::::::::::::::::::::++++++++++++++++++++++++++++++++:++++++++++%++%%%#####%%%%%%#%%%%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::,:,,,,,,,,,,,,,,,,::::::::::++++++:,,,,,,,,,,,::++:::::::::::::,,,,,,:::::::::::+++++++++++++++++++++++++++++++++++++++++%+++%%%%##%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,,,,,,,,:::::::::+++++:++++:,,,,,,,,,,,:++++:::::::,,,,::,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++:::::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,:::,,,,::::::::::+++++++++++++:,,,:,,,,,,,:++:::::::::,,,,,,,,,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++++::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,,:::::::::::::::++++++++++++++++++,,,:,,,,,,::++:::::::::,,,,,,,,,,,,,,,:::::::::+++++++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++:::::::::::::::::::::::::::,,,,,,,,,,,
,,,,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,::::::::::::::++++++%++%%%%%++++++,,,::,,,,,:+++::::::::,,,,,,,,,,,,,,:::::::+++++++++++++++%%+++++++++++:+++++++++++++++++++++++%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::+:::::::::,,,:,,,,,,:,
,,,,...,,,,,,,,,,,,,,,,,,,,,,,,:,,,::,,,:::::::::::++++++%%%%%+++%%+:::::+:,,:::,,,,:++::::::::,,,,,,,,,,,,::::::::+++++++++++++%%%%%%%%%%+++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%++++++++++++:+:+:::::::::::,,,:,,,,,,,:
,,,,...,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::++++++++%%%%%%%+++++++::,,,,::,,,::,,,::++::::::::,,,,:::::::::::::++++++++++++++++++++%##@##%++++++::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%++++++++++++:::::::::::,::,,::,,,,:
,,,.,.,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++++++%%%%%%+++++++++++:,,,,,::,,,::,,,,:++:::::::::::::::::::,,:::::++++++++:::++:::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%+%+%%++++%+%%%%%+++++++++::::::::::::,::::::::,,
,,,,..,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++++%%%%%%++++++++++++++::,,,,,::,,,,::,,,:++::+++::::+++::::,,,,,,,,,,::::,,:::,,:::::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%%%%%%+%+%%%%++%++++++++++%%%%%%%%++++++::::::::::::::::::,:,
,,,,.,.,,,,,,,,,,,,,,,,,,,,::::::::::::::++++%%%%+++++++++++++++++::,,,,,,:,,,,::,,,:++::+++::+%#%::,,,,,,..,,,.,,:,,,,,:,,,:::::::+%##@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%+%%%+%+++%%%+%%++++++++++++++++%%%+++++++:::::::::::::::::::
,,......,,,,,,,,,,,,,,,,,,:::::::::::::++++%%%%+++++++++++++++++++::,,,,,,:,,,,:::,,::+::+++++%@#+:,,,,.,,..,,..,,:,,,,,,,,,:::::::++##@@@#++++:::++++++++++++++++%++++++%%%%%%%%%%%%%%%%+%%%%%%%%%%+++%%+%%+++%++++++++++++++++%%%%+++++:::::::::::::::::
,,.,,..,.,,,,,,,,,,::,,:,::::::::::++++++%%%++++++++++++++++++++++::,,,,,,,,,,,:::,,,::::++++%#@#+:,,,,.,,..,,..,,,,,,,,:,,:::::::::+%#@@#%+++++::+++++++++++++++%%+++++%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%+%%%%++++++++++++++++++++++%%%%++++:+::::::::::::::
,,,,,..,,,,,,,,,,,:::::::::::++::++++++%%%+++++++++++++++++++++++++::,,,,,:,,,,,:::,,:::::+++%#@@%+,..,..,...,,,,,,,,,,,:++%%::++::++%#@#%++++++::+++++++++++++%++%%%++%%%%%%%%%%%%%%%%%+%+%+++%++%%%+++++++++%++++++++++++++++++++%%%%%%++++:::::::::::::
,,,,,...,,,,,,,,,,::::::::::++++++++%%%%+++++++++++++++++++++++++++:,,,,,,::,,,,:+:,,,::::+++%##@#%:..,,,,,.,,,,,,::,,,:+%###%%%++++%####+++++++::++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%%%%+++++++%+++%++++++++++++++++++++++%%%%%%++++:::::::::::
,,,,,,,,.,,,,,,,,::::::::::+++++++%%%%++++++++++++++++++++++++++++++:,,,,:::,,,,,:::,,::::+++:%#@#%:,.,,,,:::+::::+%++:++++%%%%++++%#@@#%+++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%++%%+++++++++++++++++++++++++++++++++++%%%%%+++++:::::::::
,,,,,,,,,,,,,,,,::::::::::+++++%%%%+++++++++++++++++++++++++++++++++::,,,:+::,,,,:::,,,:::++::+####+,,,:::++++:::++++:::::+++++++++%@@#%++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%++%++%%%%+++%++++++%+++++++++++++++++++++++++++++++%%%+++++++:::::
,,,,,,,,,,,,,,,::::::::++++++%%%%++++++++:+++++++++++++++++++++++++++:::::++:,,,,::::,,,:::+:::+###%::,::::::::::::+::::::::::::::++##%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%+%+%+%+++++++%+++++++++++++++++++++++++++++++++++++++%%%++++++++::
,,,,,,,,,,,,,,,:::::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++:,,,,::::,,,:::++:,::%##+:::::::::::::++::::::::::::::+%%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%++++%%++++%+++%++++++++++++++++++++++++++++++++++++++++%%++++++++:
,,,,,,,,,,,,,,:::::::+++++%%%+++++++++++++++++++++++++++++++++++++++++++++++:,,,,,:::,,,,::++::,,:%#%::::::::::+:::::::::::::::::++%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++%%+++++++
,,,,,,,,,,,,,:::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++++++::,,,,,:::,,,::++:,,,,:+%:,,,::::::+::::::::::::::::++%%+++++++++++++++++++++++++++%+%%%%%%%%%%%%%%%%%%+%+++%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++++++
,,,,,,,,,,,::::::+++++%%%++++++++++++++++++++++++++++++++++++++++++++++++++++:,,,,,,::,,,:::+:,,,,::++:,,,,:::::::::::::::::::+++%%++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%+%%%%+++++%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%+++++
,,,,,,,,,,,:::::+++++%%%+++:::++++++++++++++++++++++++++++++++++++++++++++++:::,,,,,:::,,,::+::,,,,,:+::,,,:::::::::::::::::+++%%%++++++++++++++++%++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%+%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++
,,,,,,,,::::::+++++%%%++:+++::::++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,::,,,:::::,,,,,,::::,,,:::::::::::::::+++%%%+++++++++++++++++%%+++++++++%+%%%%%%%%%%%%%%%%%%%%%%%%++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%%
,,,,,,,,:::::++++%%++++::+++:+++++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,:::,,::++::,,,,,,:::::,,:::::::::::::+++%%%%++++++++++++++++%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
::,,,,::::::+++++++++:::+::+:+++++++++++:+++++++++++++++++++++++:::::::::+::::::,,,,,,:::,:::+::,,,,,,,:::::,,,,:::::::::++%%%%++++++++++++++++++%%%+++++++++%%%+%%+%%%%%+%%%+++%%%%%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::,::::::+++%%++++++:++:::+:++++:++++++++++++++++++++++++++++++++::::::::::::::,,,,,,:::,,::++::,,,,,,,::::::::::::::++++%%%++++++++++++++++++++%%%+++++++++%%%%++%+%%%%%%%%++%%%++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::+++%++++++:++:+::++:++++++++++++++++++++++++++++++++:++:+::::::+:::::::::,,,,,::::::::+::,,,,,,,,,,,,::::+++++++++++++++++++++++++++++++%%++++++++++%%%%%%%+%%%%%%%%%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:+
::::::+++%%++++:::::+::+++:::+:+:+++++++++++++++++++:+++++::+:+:::::::::::::::::::,,,,:::::,:::::,,,,,,,,,,,,,:::+++++++++++++++++++++++++++++++++++++++++++%%%+++++%%%+++%%%%+%++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::+++%%%+++++::::::::::::+:::+++++++++++++++++++++:::::+::::::::::::::::::::::::,,,,,,:::,::::::,,,,,,,,,,,,,::::++++++++++++++:+++:+++++++++++%+++++++++%%%%+%%++%+%%%+++%%+++%++%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++
:++++%%%%+:::+:::::::+::::::+++::+++++++++++++++:++++:::::::::::::::::::::::::::::,,,,,,::::::::::,,,,,,,,,,,,,:::::+++++++++++:::::+++++++++++++%++++++++++%%++++%%+++%%+%+%+++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:++
++++%%%%++++:+++::::::::::::+++:+++++++++++++::++:+::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,,,,,,,,,,:::::++++++:::::::::++++++++++++++%+++++++++%%%%%%%+%++++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++%%%+++++::::::::::::+:::+++::+++++:+++++++::::::::::::::::::::::::::::::::::::::,,,,,,:::::::::::,,,,,,,,,,,::::+++:+::::::::::+:++++++++++++%%+++++++++%%%++%+++++%%+%+++++%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+%%%%++:++::::::::::::::+:+++++:++++:+++:++:+:::::::::::::::::::::::::::::::::::::::,,,,,::::::::::::,,,,,,,,,,::::::++:::::::::::++++++++++++++%++++++++++%%+++++++%++++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%%%%+:::::::::::::::::::++::+++::+++++::+:++::::::::::::::::::::::::::::::::::::::::,,,,,,::::::::::::,,,,,,,,,:::::+:::::::::::+:::+++++++++++++++++++++++%%%%+++++%+%++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%%+++:::+::::::::::+:::+:+:+:::+:++++++:::::::::::::::::::::::::::::::::::::::::::::,,,,,,::::,,::::::,,,,,,,,,::::::::::+::::::++++++++++++++++++++++++++++++%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++:::::::::::+:::::::++++:::+++::+::++++::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,::::::,,,,,,,,:::::::::::::::++++++++++++++++++++++++++++%%+%%++%+++++%+%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++:::::::::::+::::::+:+:+:+++++:+++++::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,:::::::,,,,,,,,::::::::::::::++++++++++++++++++++++++++++%%++%+++++%+%+%+%+++++++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++:::::::::::::::+::::::::+:++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,::,,,:::::::,,,,,,,,:::::::::::++++:+:+++++++++++++++++++++++%%%%%%++++%+%+%%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+:::::::::::::++:::::::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:,,:::,,:::::::::,,,,,:::::::::::+:+++++++++++++++++++++++++++++%%%+%%%+%%%%%%%%%+%++++%+%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::::::::::::+::::::++::+::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,::::,,,:::::::::,::::::::::::++:+++++:+++++++++++++++++++++++%%%++%%%%+%%%+%%%+%+%+++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::+:::::::::::++:+::+++::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%%+++%%%%%%%%%%%+%+%+%%+%+%+%+++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::::::+:::::::::::::+::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::,,,,:::,,,,:::::::::::::::::::::::::::+++++++:++++++++++++++++%%%%%+%%+%%%%%%%%%%%%%%%%%%%+%+%%%+%+++%+%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::::::::+:+:::::::::+:+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,::::,,,,,::::::::::::::::::::::::::++++++:++++++++++++%+++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::::::::+::+::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,,:::,,,,,,,::::::::::::::::::::::::++:+++++++++++++++++++%%%%%++%%%%%%%%%%%%%%%%%%+%%%%++%+++%%++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::+:::::::::::+::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,:::,,,,,,,::::,::::::::::::::::::++::++++:++++++++++++%%%%%%++%%%%%%%%%%%%%%%%%%+%%%%%%+%%+%%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::+::::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:::::,,,::,,,,,,,,,::::::::::::::::::::::++++++++++++%++++%%%+%%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++%+%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::::::::::+:::+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::,,::,,,,,,,,,,::::::::::::::::::::+++++++++++++++++%%%%%+%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%%+%++++%%++++++++++++++++++++++++++++++++++++++++++++++++
::+::::::+:+::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,:::::,,::,,,,:,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%++%%+++++++++++++++++++++++++++++++++++++++++++++++
:::::::++:::::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::::,:::,,,,,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%+%+++%++%%+++%%%%%%%%%+++++++++++%++++++++++++++++++
:::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,::::::::,::,,,,,,:::::::::::::::::::++++++++++++%%++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%+%%%%%%%%%#########%%++++++%++%++++++++++++++++++
:++::+::+:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,::::::::::::::::+++++++++++++%%%%%%+%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%++%+%%%%%%+%+%+%++%+++++++
+:+:::++:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::,,::::,:::::::::++::::++++++++++%%%%%%%%%%%%%%%%%%++%++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%%%%%%#%%%%%#%%%%%%%%%
:::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::::,:::::::::::::++::++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################
::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,::::::::::::::::++:++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################
+::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,:::::::::::++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++++%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%############################################################
+:++:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,::::::::::::+++++++++++++++++%%%%%%%%%%%%%%%%%%%+++++++++++++++++%%%%%%%%#####%%%%%%%%%#%%%%%##############################################################
+:+++::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::+:::,,,,,,,,,::::::::::::::+++++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%########@@#####@#########################################################################
++++++++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:++++:,,,,,,,,,::::::::::::::::+++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%#@@@@@@@@@@##@@@@@@@@@###################################################################
+++:+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+++++++++::,,,,,,,,,:::::::::::++++++++++++++++%%++%%%%%%%%++++++++++++++++++++++++%#@@###@@@@@##@@@@@@@@@###################################################################
++++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++::,,,,,,,,,,,::::::::::+++++++++++++++++++%%++++++++++++++++++++++++++++++%##@###@@@@@#@@@@@@@@@@@##################################################################
+++++:++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++++::,,,,,,,,,,,,,:::::::::++++++++++++++++++++++++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################
+++++:+:+::+::::::::::::::::::::::::::::::::::::::::::::::::::+:+++++++++++++++++++++++:,,,,,,,,,,,,,,,::::::::::++++++++:+::+:::::+++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################
+++++++:+:::::::::::::::::::::::::::::::::::::::::::+::::++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%############@@@@@@@@@###################################################################
+++++++++::::::::::::::::::::::::::::::::::::::++:+++++++++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,:,,,,,,,,:,::,:::::::::::::::+++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################
+++++++:++++::++:::::::::::::::::+::+:::::+++++++++%%%%%%%%++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################
+++++++++++++++++:+++:::::+::::::++:+++++++++++%%%%%#########%%++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::++++++++++++:++++++++++++%%############@@@@@@@@@@@#################################################################
+++++++++++++++++++::++++++++++++++++++++++++%%%%##############%++++++++++++++++%++%+++::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++++++++++++++++++%############@@@@@@@@@@@#########################################%#######################
++++++++++++++++++++:++++%%%%%++++++++++++%%%%%%%%#######%%#####%+++++++++++%+++%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::++++++++++:+++++++++++++%%############@@@@@@@@@@#################################################################
++++++++++++++++++++++%%##%####%%%#%%%%%%#%####%%%#######%%%####%++++%+%%%%%%%%%%%%%%##+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::::::::::::::+++::::+++++++++++++++%%#############@@@@@@@@@@@################################################################
+++++++++++++++++++%%%##########################%%%#######%%%####%%%%%%%%###%###%%%####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:+::::+:+++++++++++++%%#############@@@@@@@@@@@################################################################
+++++++++++++++++%%%#############################%%#######%%%%####%%%%%%###############+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+::+::+:::++++++++++++%%#############@@@@@@@@@@@################################################################
+++++++++++%%%%%%%%########################################%%%#####%%%############@####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++++++++++%%##############@@@@@@@@@@@@###############################################################
++++++%%%%%%%%%#%%%##############################%%########%%%###########@############%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++++++++%################@@@@@@@@@@@###############################################################
+%%%%%%%%%%##%%##%##########################################%%%###@#####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::+++++++++++++%%################@@@@@@@@@@@###############################################################
%#%%%%%%%%%%%%%%############################################%%####@@####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::++++++++++++%%#################@@@@@@@@@@@###############################################################
%#%%%%%%%%%%%###################%#%%########################%%%###@@####@@@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+:::::::++++++++++++%%##################@@@@@@@@@@################################################################
%%%%%%%%%%%%##%%%###############%%%%#########################%%###@@@###@@@###%######%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++++:::::++++::+++++%####################@@@@@@@@#################################################################
#%%%%%%%%%%%%%%%%###%############%%%%#######################%%%%###@@####@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:::::::::++:::+++++%#####################@@@@@@@@##@##############################################################
%%%%%%%%%%%%%%%%####%%##########%%%%%%#######################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++%%######################@@@@@@@#@#####################%##########################################
%%%%%%%%%%%%%%%%%##%%%%##########%%%%%%%#####################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::+++::::+++%%#######################@@@@@@@#@#####################%####################%#####################
%%%%%%%%%%%%%%%%%##%%%%%########%%%%%%%######################%%%####@@####@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::+++++:::::++%%########################@@@@@@@@@@###################%###########################################
%%%%%%%%%%%%%%%%%##%%%%%%#######%%%%%%%%#####################%%%####@@@###@#########%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++:+++::+++%%##########################@@@@@@@@#######################%########################################
%%%%%%%%%%%%%%%%%###%%%%#########%%%%%%%####################%%%%####@@@###@######%###%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:++++++%############################@@@@@@@@#########################################%######################
%%%%%%%%%%%%%%%%####%%%%%#######%%%%%%%%#####################%%######@@###@######%##%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::+++++%%##############################@@@@@@#################################################################
%%%%%%%%%%%%%%%%####%%%%%########%%%%%%%####################%%%%#####@@###@######%##%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++%%###############################@@@@@@@#################################################################
%%%%%%%%%%%%%%%%####%%%%%%%#######%%%%%%%###################%%%######@@###@######%#%%%%%%%%%%%+::,,,,,,,,,,,,,,,,.,,,,,,,,,,,::::::::::::::++++%%%################################@@@@@@@######################%##########################################
%%%%%%%%%%%%%%%%%###%%%%%%%#%#####%%%%%%%###################%%%######@@##########%%#%%%%%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::+++%%%##################################@@@@@@#######################%##########################################
%%%%%%%%%%%#%%%%%###%%%%%%%%%#####%%%%%%%%##################%%%######@@####@#####%%#%%%%%%%%%%%%%%++::,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++%%%####################################@@@@@########################%##########################################
#%%%%%%#%%%%%%%%%###%%%%%%%%%%%%##%%%%%%%%##################%%%%######@####@#####%%%%%%%%%%%%%%%%%%%%++:::::,,,,,,,,,,,,,,,,,,:::::::::++%%%#####################################@@@@@@#############################################%#####################
%%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%#%%%%%%%%#################%%%%%######@@###@######%%%%%%%%%%%%%%%%%%%%%%+++++:::,,,,,,,,,,,,,,:::::::++%%########################################@@@@@############################################%%######################
%#%%%%%%%%%%%%%%%###%%%%%%%%%%%#%%%%%%%%%%%#################%%%%%#####@@##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++::,,,,,,,,,,::::+++%%%##########################################@@@@#####################################################################
%#%%%%%%%%%%%%%%%####%%%%%%%%%%#%%%%%%%%%%%################%%%%%%#%###@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++:::::++++%%%#############################################@@@@#####################################################################
##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%%####@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################################################@############%#############%###########################################
##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%#############################################################################################################################
###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################@#################%##########################################################
###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################@@@###########################################################################
####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@@#%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################################%%#########################################################
###%%%%%#%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%####@@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################################################@##################%%#########################################################
###%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%######@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%#######################################################################%##########################################################
#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%####@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################################################################################################################################
#####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%#####@@@#%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################################%%##########################################################
#####%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%#####@@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%##################################################################%#############%############################################
#######%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%######@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##################################%%###############################%%#############%############################################
#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%#%%%#####%#%##%#%%%#####################%%%%################################%##############%###########################################
######%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@##%%%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%######################%#%%################################################%############################################
######%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%################################%%%#############################%##%################%############################################
#######%#%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%#%%%%##%######################%%%%###############################%%################%############################################
########%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%######@@@@##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#%#########################%%%%#####################%#%#####%#%################%#%###########################################
########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%#%%#%%######################%%##########%############################################################
#########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%######################%#####%%%#######################%%%###########################%%###########################################
#######%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%%%############%%%%%%%#%%%%%%%%%%%%%%%%%%%%#######################%###%#%##%%%%##%#####################%%%##########################%%%###########################################
#######%%##%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%############%%%%#%%%%%%%%%%%%%%%%%%%%#%%%#####################%#%#%%%%#%%%%%#########################%%##########################%%############################################
########%%%#%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%###%%%%#%###%%%%%#######################%###%#%%%%%%#%%#%%%%%########################%%###########################%%############################################
########%%%#%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%####%%#%######################%####%%#%#%%%%%%%%%%%%%%%%%%%########################%%%############################%############################################
##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%#####%#######%#########%%#%%###%%%%%%%%%#%%%%%%%%%%%%%%%%########################%%%%%##########################%#############################################
#########%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%############%%%%%%%%%%%%%%###########%%%#####################%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%########################%%%%############################%############################################
#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%#############%%%%%%%%%%%%%%###########%%%%%#################%%%%%##%%%%%%#%%###%%%%%%%%%%%%%%%%########################%%%%%###########################%%############################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%%%%%###########%%%%%%%%%%%%%%%###########%%%%%###############%%%%%%%#%%%%%%%%#%#%%%%%%%%%%%%%%%%%#########################%%%%###########################%%############################################
###########%%%%%%%%%%%%%%%%%#%%%%%%%%%%%+%%%%+++++%%%%%############%%%%%%%%%%%%%%%############%%%%%%############%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################
#############%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%++++++%%+%%%%###########%%%%%%%%%%%%%%#############%%%%%%############%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################
############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%+++++%%+%%%%############%%%%%%%%%%%%%%%############%%%%%%#############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%#%%%#############################%####%########################################
#########%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%#############%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%############################%%%##%%%#######################################
############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%##############################%##%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%%%%%%############################%%%%%%%%%#######################################
##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%%#%##########%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%%#############################%%%%%%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%#############%%%%%%%%%%%%%%%%###########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########%#########%%##############################%%%%%%%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%##############%%%%%%%%%%%%%%%%%%%#########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%##############################%%%%%%%%%########################################
##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%%%%%#############%%%%%%%%%%%%%%%%%%%#%#######%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##########%%###%%%%##############################%%%%%%%%#########################################
##########%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%##############%%%%%%%%%%%%%%%%%%%%########%%%%%%%#############%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%#########%#%%%#%###############################%%%%%%%%%#########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%#############%%%%%%%%%%%%%%%%%%%%#%######%%%%%%############%#%%%%%%%%%%%%%%%%%%%%##%%%#%%%%####%%###%%%###%##############################%%%%%%%%%%#########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%%%%%%%%%#%#%%###########%%##%###############################%###%%%%%%%%%%%########################################
###########%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%%%###############%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%#%%%%###%##################################################%%###%%%%%%%%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++%%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%%%%%#%#######################################################%####%%%##%%%%%########################################
#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%++++%%+%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%%#%%%####%###########################################################%%%%%#%%%%#########################################
#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++++%+%%%%%################%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%#%%#%#%####%####%#########################%#############%%#########%%%##%%##%%%%########################################
##########%###%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%#################%###%####%#%%###########################%#%############%%###########%#%#####%%%%########################################
###########%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%#%%#####################%#%%%%%%%%%%%%%%%%%%%%%%%%################%#####%####%%%%####%##############%##%%%%%%#########################%%%#####%#%%########################################
##########%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%+%%+%%%%%%%#################%#####%%%%%%%%%%%%%%%%%%%%%%%%########################%#%%######%######%%#%##%%%%%%%%%%##########################%%######%%%%########################################
##########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%+%%%%%%%%#######################%%%%%%%%%%%%%%%%%%%%%%%%%%#############%#######%###%%%%%##%##%%%###%%%%%%%%%%%%#########################%%%%%#####%%%%%#######################################
#########%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%%%%%################%%%%##%##%%##%%#%%%%%%%%%%%%%%%%%###########%%%%##########%%#%#%%%%%%#%%%%%%##%%%%%%%#########################%%%%%#######%%%%%######################################
#########%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%%%%%##################%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%#########%%%#%###%####%#%#%%#%%%%%#%%%%%%%%%%%%%%#%#####################%%##%%%%########%%%%#######################################
#########%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%###############%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%#########%%#%%%###%#%########%%#%%%%%%%%%%%%%%%%%%%####################%%%##%%%%%########%%########################################
#########%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%%%##############%%%%%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%#######%#######%#%%%%%%%%%%%%##%%%%##################%%%%%#%%%%%##################################################
########%#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%%%%############%%%%%%%%%%%%%##%#%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%%%#############%%%%%%%%%%%%%%#%%%##########%%#######%%%%%%%%%%###################################################
#########%%%%%#######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%+%%%%%%%+%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%##%####%%%%%%%%%%%%%%%%%##%##########%########%%%%%%%%%%%###################################################
########%%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%++%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%#############%%%%######%%%%%%%%%%####################################################
########%%%%%#%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++%+%%%+++%++%%##################%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%##%%%%%%%%%%#%%%%%%%#####%########%%%%######%%%%%%%%%%####################################################
#########%%%%####%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%++%++%%%%+++++%%###################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#%%%%##############%%%%%######%%%%%%%%%%####################################################
#########%%%%########%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%+%+++%+%%%%%%+++++%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%#%#################%%%%%#####%%%%%%%%%#####################################################
#######%#%%%%##%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%++++%%%%%###############%%%%%%%%%%#%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%##################%%%#%%####%%%%%%%%%######################################################
#######%#%%#%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%++++%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%#%%%%#####%%%%%%%%######################################################
#######%%%%%###%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%+++%%%%%%%##############%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%#########%%%%######################################################
#######%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%###########%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################%%%%%########%%%%%#######################################################
#######%%%%%%%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%#%%##########%%%%%%%##%%%%%%%%%%%%%%%%%%#%%%%%#%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%###############%#####%#%##########%%%%%#######################################################
########%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%#########%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%#################################%%%%#########################################################
######%%%%%#%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#########%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%#############%%%##########################################################
######%%%%%###%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%##%############%#%%###########################################################
####%#%%%%%###%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%####%%#%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%###############%%%%##########################################################
######%%#%%#%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%############%%%##############%%%%%##########################################################
#########%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##########################%%%%%###########################################################
######%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%###########################################################
#####%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#########################%#%%%%#############################################################
##%%%%%%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%########################%%%%%%%%#############################################################
##%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%###############################################################
##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%###############################################################
###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%%%##############################################################
#%%#%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%%###############################################################
#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%%%################################################################
##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%###%###############################################################

[https://asciiartattack.de/bildgeneratoren/einsteiger/](https://asciiartattack.de/bildgeneratoren/einsteiger/ "Zurück")
ASCII Art Attack  # ASCII Art Attack

..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
..........................................................................................................................................................................................................................................................
................................................................................................................................................................................................,.....................................,...................
...............................................................................................................................................................................................,,....................,................,.,.................
......................................................................................................................................................................................,,..,,...,....,....,.,..,..,...,...........,..,,....................
.........................................................................................................................................................................,.......,,.,,,,,.,,,,,,..,,,,,,,,,,,.,.,.,.,,,...,,..,..,,..,....,.,.............
.......................................................................................................................................................................,.,.,..,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,.,,,,,,,,.,,,,,,,,,.,,..........
.................................................................................................................,,..............................................,,..,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,.,..,,...,.,...,....
.........................................................................................................,,....,,,,,..........................................,.,,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........
......................................................................................................,,,,,,:::,,,.,,.......................................,.,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,,,,,...,,..,..
....................................................................................................,,::::::::++::,,,...................................,.,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,.,,,...
...............................................................................................,,,,::+++++++:::+++:,,::,,,,.............................,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,,,..
.............................................................................................,,,::++%%%%%%%%++++%%++:+++++:,,,,,......,,...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,.
...........................................................................................,,,::+%%%%%%%%%%%%%%%%%%%%%%%%%++:,,,,...,,,,.....,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,
..........................................................................................,,:+%%%%%%%%%%%%%%%%###%%%%%%%%%%%%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.....................................................................................,,,,,:+%#####%%%%%%##%%%%######%%%%%%%%%%%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
....................................................................................,,,,,:+%%########%%%#####%########%%%%%%%#%%%%%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.................................................................................,,,,,::+%%%%####################@#######%%%#####%%#%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...............................................................................,,,:++++%%%#######%############@##@@@@@###############%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
............................................................................,,,:++%%%%%%#####################@@@@#@@@@@@@@@####@@@#####%%++::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..........................................................................,,,:++%%%%%######@@##########@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#####%%+++::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................................................................,,::+%%%%%%#%######@@##########@@@@#@@@@@@@@@@@@@@@@@@@@@@@@@####%%%%+++:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.......................................................,,...............,,:++%%%%%%#########@@@#######@#@@@@@@#@@@@@@@@@@@@@@@@@@@@@@@#@######%%%++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...........................,..................,..,,,,,,,,,.,,....,,..,,,,:+++%%%%#%#####@@##@@@@@#########@@@#####@@#@@@@@#@@@@@@@@@@@@@@@######%+++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
..........................,,,,,............,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%#%%#####@##@@@@@@@@@@@@#########################@@@@@@@@@@@@@@####%%%+:::::,,,,,,,,,,,,,,,:,,,,,,:,,,,:,,,,,,,:,,,:::,::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
.........................,,,,,:,,,,.....,,.,,,,,,,,,,,,,,,,,,,,,,,,.,,,:+%%%%%######@@@@@#@@@@@@@@@####%%%%%%%%%%%%%%%%%%#%######@@@@@@@@@@@@@###%%%+::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::,,,,,:::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...............,,,,.....,,,,,::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%%%########@@@@@@#@@########%%%+++%%+++++++++%%%%%%%%%%%####@@@@@@@@@@###%%++::::::,,,,:,:::,:,,:,:,,,:,::,,,:,,,::::,,,:,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,
...............,,,,,,,..,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%#%###@@@@@#@@@@@@@#####%%%%++++++++++++++++++++++++++++%%%###@@@@@@@@@##%%%++::::::,,,,,,:,:,:,,,::,::,::,::,::::::::::::,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,
.............,,,,:::,,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%#%#####@@@@@@@@@@@##%%%%++++++:::::::::::+:++++++++++++++++%%%##@@@@@@####%%%+::::::::,,::,:::,:::::::::::::,::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,
.............,,,:::::,..,,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%########@@@@@@@###%%%++++::::::::::::::::::::+++++++++:++++++%%%#@@@@@@####%%%+::::::::,:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%###@@@#@@@@@@##%%+++:::::::::::::::::::::::::::::+::::::++++++%%##@@@@@@###%%++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,::::::,,,,,,,,::,,,,,,,,:::::,,,,,,,,,,,,,,,,,,,,,,,,,:+%%##@@@@@@@@###%%++::::::::::,:::::::::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,:::,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,::+%%####@@@@@@#%%+:::::::::::,,,,,,:::,,::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,
............,,,,::::::,,,,,,,:::::,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@@##%++:::::,::::,:,,,,,,:,,,,,:::::::::::::::::::::::::+++++%##@@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,:::::,,,,,,::::::::,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@##%++:::::,,,:,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%%#@@@@@##%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,,::::::,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,:%%#####@@###%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%##@@@@##%%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,
............,,,,:::::,,,,,,,::::::,,,,,,::::::::,,,:,,,,,,,,,,,,,,,,:+%#####@@###%+:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++%##@@@@##%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,
...........,,,,,:::::,,,,,,,::::::,,,,,::::::::::,:,,,,,,,,,,,,,,,,::%######@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::++:++%##@@@##%%%+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::::::,,,,,,,,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::,,,:,,,,,,,,,,,,:+%####@@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+:+++%#@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::+::::::::+::::::::::++:::::,,,,,,,,,,,,,,,,,,,,,
..........,,,,::::::,,,,,,,,::::::,,,,,,:::::::::::::::,,,:,,,,,,,,:+#########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::++++##@@@####%%:::::::::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::+:::::,,,,,,,,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::::::,::,:,,,,,,::%########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::+++%##@@#####%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:::::,,,,,,,,,,,,,,,,,,,,
...........,,,,:::::,,,,,,,,::::::,,,,,:::::::::::::::::::,:,,,,,,:+%#######%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::+++%#@@######%+::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:,:,::++:::::,,,,,,,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,:::++:::::::::::::::::,:,,::+%######%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%##@@#####%+++:::::::::::::::::::::::::::+++::::::::::++::::::::::::,,,,,,:+++:::::,,,,:,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,:::+++:::::::::::::::::::,::+%%#####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:::::::::::::::::::::::::::+++%########%++::::::::::::::::::::::::::::+++::::::::::++::::,:::::::,,,,,,::+++:::::,,,:,,,,,,,,,,,,,,
..........,,,,,:::::,,,,,,,,::::::,,,,,:::++++:::::::::::::::::::::+%%####%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,:::::::::::::::::::::::::::::++%###@#####%++::::+:::::::::::::::::::::+++++:::::::::+++:::,:::++::,,,,,:::++::::::,,,,:,,,,,,,,,,,,,
..........,,,,,::::,,,,,,,,,::+:::,,,,,::++++::::::::::::::::::::::+%%####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::+++%########%++::::::::::::::::::+:::::::++++:::::::::::++:::,:::++:::,,,,,::++::::,,,,,,::,,,,,,,,,,,,
..........,,,,,::::,,,,,,,,,::+:::,,,,,:::+++:::::::::::::::::::::+%%%%##%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::::::::::::::::::::::::::::++%########%%+::::::::+++:::+:::::::+::::++++::::::::::++::::,::+++::,,,,,::++:::,,,,,,,,,,,,,,,,,,,,,
.........,,,,,:::::,,,,,,,,:::::::,,,,,:::::+:::::::::::::::::::::+%%%###%::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::,::::::::::::::::::::::::::::++%%########%+:++::::+++:::+++:+::++:++++++++::::::::::++:::::::+++::,,,,,::+++:::,,,,,,,::::,,,,,,,,,
.........,,,,,:::::,,,,,,,,:::+:::,,,,,:::+++:::::::::::::::::::::%%%%#%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::::++%#########%++++++++++++++++++:+++::+++++++::::::::::+++::::::+++:::::,:::+++::::,,::::::,:,,,,,,,,,
........,,,,,,:::::,,,,,,,,::+++:,,,,,,,::+++::::::::::::::::::::+%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%#########%++++:++++++++++++++++++++++++++::::::::::+++::::::+%++::::::::+++:::,,,,:,,::::,,,,,,,,,
........,,,,,::::::,,,,,,,:::++::,,,,,,:::+++::::::::::::::::::::+%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::+++::::::+%%+::::::::+++:::,,,,:::,,:::,,:,,,,,
.......,,,,,,::::::,,,,,,,:::+++:,,,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::++++:::::+%%+::::::::+++:::,,,,::,,:,::,:,,,,,,
......,,,,,,,::::::,,,,,,,,::++::,.,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%%##########+++++++++++++++++++++++++++++++:::::::::+%++:::::+%%++::::::::++::::::,,,,:::::,,:,,,,,
......,,,,,,,::::+:,,,,,,,,::++::,,,,,,::++++::::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::++%%##########%++++++++++++++++++++++++++++++:::::::::+%%+:::::++++:::::::::+++::::,,,,::::::,,::,,,,
......,,.,,,,,:::+:,,,,,,,,::++::,,,,,:::++++::::::::::::::::::::+%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::++%##########%+++++++++++++++++++++++++++++++::::::::+%++:::::::+::::::::::+++:::::::,::::::::,:,,,,
........,,,,,,:::+:,,,,,,,,::++:,,,,,,:::++++:::::::::::::::::::++%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::+:::::::::::::::::::++%%#########%+++++++++++++++++++++++++++%++++:::::::+%+:::::::::::,:::::,::+:,,:,,,,,:,::::::::,:,,
.........,,,,,:::::,,,.,,,,::++:,,,,,,:::+++++::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++++:::::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,::,,,,,,:::,,,:,,:,,,::::::::,:::,
.........,,,,,::::,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::++++++++++++%%+++++::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,,,,:,,,,:,,,,:,:,,,,,,,,::::::,:::
...,.....,,,,,::+:,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,:::::++++%%%%%%%%%%%%%%%+++::::::++%%##########%++++++++++++++++++++++++++%+++++:::::::::::::::::::::::::::::,,::::,,,,,,,,::::::,,,,
,...,.,..,,,,,::::,,,.,,,,::+++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,::::::::+++++%%%%%%%%%%%%%%%%++++::::+++%%#########%++++++++++++++++++++++++++%+++:::::::::::::::::::::::::::::,,,:::::,,,,,,,,,:::::::::
....,,,.,,,,,,::::,,,,,,,,::++:,,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,::::::::::+++++%%%%%%%%%%#%%%%%%%%%++:::+++%%#########%++++++++++++++++++++++++++%++++::::::::,::::::::::::::::::,,,:::::,,,,,,,,,,::::::::,
.....,,,,,,,,:::+:,,,,,,,,::++:,.,,,,,::+++++::::::::::::::::::+%%%%%%+::,,,,,,,,,,,:::++++++++:::::,,,,,,,,,,:::::::::+++++%%%%%%%%%%%%%%%+%%%+++++:::+++%#####@@###++++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,,::::::,,,,,,,,,,,::::::::
,...,,,..,,,,:::+,,,,,,,,,:+++:...,,,,::++%++::::::::::::::::::+%#%%%%+::,,,,,,,,::::++++++++++++::::::::,,,,,,:::::::+++++++++++++++:::,,,,,,,,,,,,,,::++%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,:::::,,,,,,,,,,,,:::::::::
,..,,:...,,,,,:::,,,,,,,,,:+++,..,,,,,::++%++::::::::::::::::::+%%%%%%+::,,,,,,::++++%%%+++%%++++::::::::,,,,,,::::+++++++++++::::,,,,,,:::::::::::::,,,:+%#####@@###%+++++++++++++++++++++++++%++++:::::::::::::::::::::::::,,:::::,:,,,,,,,,,,,:::::::::
,.,,,,...,,:,:::::,,,,,,,,:+++,..,,,,,::++%+::::::::::::++::::++%%%%%%++:,,,,,:+++%%%%%%%+++++++++::::::::,,,,::::+++++++++::,,,::::::::::::::++++:::::,:+%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::,,:::,,::,,,,,,,,,,,,,,:::::::
,...,:,,,,::::++++,,,,,,,,:+++,..,,,,,::+%%+::::::::::::::::+:++%%%%%%++:,,,,:+++++++%%+++++++++++::::::::,,,,::::++++++::,,::::::::::::::::::+++++++::::+%%####@@####+++++++++++++++++++++++++%%+++::::::::::::::::::::::,,,,::::,,:,,,,,,,,::,,,,,::::::
,..,,,,,,,,,::+%+:,,,,,,,:+++:,.,,,,,,:++%%+:::::::::::++:::+:++%%%%%%++:,,,::+%%++++:++++++++++++++:::::::,,,:::+++::,,,,:++::::::::::::::::::+++++++:++++%####@@####%++++++++++++++++++++++++%%+++:::::::::::::,::::::::,,::::,:,,,,,,,,,,,:,,,::,::::::
,..,,,,,,,,,::++,,,,,,,,,::+%:,.,,,,,::++%%+:::::+::+::+:++::+++%%%%%%+::,,,::++++::,,::::,:::::::::::::::::::::::,,,,,:++++::::::::::::::::::::++++++:++%%%%#########%++++++++++++++++++++++++%%++++::::::::::,:,::::::::,:::,,::::,,,,,,,,,,,,,,,:::::::
,..,,,,,,,,,,:::,,,,,,,,,,:++:,,,,,,,::++%%+:::::::+::+++:+:+++%%%%%%%+::,,,::+::,...........,,,,,,,,,,,,,.....,.,,.,,++++++:::++++::++++++::::::++++++++++%%%###@@###%++++++++++++++++++++++++%%+++::::::::::,,,,,:::::::::::::,,,,::,:,,,,,,,,,,,,,:::::
,,,,,,,,,,,,,,::,,,,,,,,,,::+:,,,,,,,::++%%+:::::::::++++:+++++%%%%%%%+::,,,,.......,,,,::::::::::::::,,...  ..,,,,,,:+++++++++++++::++:++++++:::++++++++++%%%%##@#####%++++++++++++++++++++++%%%+++:::::::::::::::::::,,::::::::::,,:,,,,,,,,,,,,,,::::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,::++%%+:::::::::++++++++++%#%%%%%+:,......,:,,,:,,,,::::::+::+:++::,.....::+::,,:+++++++++++++%%%%%+++++++:::+++++++++%##%#@@#####%++++++++++++++++++++++%%%%++:::::::::::::::::::,:,,::::::,,,,,,,,,,,,,,,,,,,,,::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::+::::++++++++++++%%%%%%:.....,::::,,,,,,,,:::++++++++++::,.,,:::++++:,,+%%%%%%%++%%%######%%+++++::::+++++++%######@@###%+++++++++++++++++++++++%%%++:::::::::::::::,,,:,,,,,:::,,,,,,,,,,:,,,,,,,,,,,,::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::::::+++++++++++++%%%%%+...,::::::,,,,,,,,:::+++++%%+++++:,,:::::::+++,,+%%%%%%%%%+%%%#####%%%%%+++::::++++++%##@##@@@@##%+++++++++++++++++++++++%%%++::::::::::::::::::::,,,,::,,,,,,,,,:,:,,,,,,,,,,,:::::
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%%%::::::::+++++++++++++%%%%%:.,::+++:::,,,,,,::::++%%%%%%%%%++:,,:::::::+++:,+%%%%%%##%+%%%###%%%%%%#%+++:::++++++%##@@###@@##%+++++++++++++++++++++++%%%++:::::::::::::,,:::::::,,:,,,,,,,,:,::,,,,,,,,,,,,,::::
:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::+%%+::::::+++:++++++++++%##%#%:,::++++::,,,,::::++%#####%%%%%%%++,::+::::::+%+,:+%%%##%%%++%%%%%%++++%%%%++:::++:+++%##@@@####@##%++++++++++++++++++++++%%%+++:::::::::::,,:::,,:,,,:,,,,,,,,:,,,,,,,,,,,,,,,,,,:::
::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+::::::+:+:++++++++++%##%%%+:+:++++::,,,::::+%%%%###%%%%#%%%+:,:++:,,:::+++::+%%%%%%%++++++++++++++++++++:::::+++%###@@@@#####%%+++++++++++++++++++%+%%%+++:::::::::::,:,,,,,,,,,,,,,:,,,::::,,,,,,,,,,,,,,,,,::
:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+::::::::++++++++++++%##%%%+%++++++:,,,:+++%%%%%%####%%%%%%%+:,:+:,,,:::++%+++%%%%%%++++++++++:::++:++::::::::+++%####@@@@####%%++++++++++++++++++%++%%%%++++:::::::::::,,,,,,:,,,,,,,,,,:,:,,,,,,,,,,,,,,,,,,,:
:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+:::::::+:+++++++++++%###%%%%+++++:,,,:++%%+++++%%%%%++++++++:,+%:,,,::::++%++%%%%%%%%+++++++++++++++++::::::::++%%####@@@#####%+++++++++++++++++++++%%%%++++::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::
:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+:::::+++++++++++++++%##%%%%%+:+++:,,:+++++:::::+++++++++++++::++:,,,::::+++++++%%%%%%%+++++++++++++++:::::::::++%%####@@M@###%%+%%%+++++++++%+++++++%%%%+++::::::::::::::,,,,,,,,,,,,,,,,:,,,,,:,,,,,,,,,,,,:::
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+::::::++++++++++++++%##%%%%%++++%:,,::::::::::::::++++++++++::::,,,::::::+++++++++%%%%+++++++++++::::::::::::::++%#####@M@@##%%++%%+++++%%++%++%+++++%%%+++:::::::::::::::,,,,,,,,,,,,,,,,,,,,:,:,,,,,,,,,,,,,:
:::,,,,,,,,,,,,,,,,,,,,..,,,,,,,,,:::+++%%+::::::+:+++++++++++%%%%##%#%%++%+:,,:::::,,,::::::++++++++:::::,,,,::::::++++++++++++++++++++++++:+::::::::::::++%#####@@@@###%%+++%++++%%+++++%++++%%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,,,,,,,,:,,,,,,,,,,,,,:
::::,,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%%+::::::+++++++++++++%%%%#####%++%%:,,,,,,,::::::+++++++++:::::::,,,,:::::::+++++++++++++++++++++++::::::::::+:::++%%#####@@@@##%%+++%%%+%%+%%%+++%%%%+%%%+++:+:::::::,:,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,::::,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%+:::::++++++++++++++%%%%#####%++%+:,,,,,,,,:::++++++++::::::::::,,,,::::::::++++++++++++++++++++:::::::::::::+:::+%%######@@@@##%%+++++%++%++++%++%+++%%%+++++:::::::::,,,::,:::,,,,,,,,,,,,,::,,,,,,,,,,,,:,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::++++++++++++++%%%######%++++:,,,,,,,::::+++++::::::::::::,,,,,,::::::+++++++++++++++++:::::::::::::::::++::++%%######@@@#%%%%%+%%++%++++++%++%%++%%%++++::::::::::,,:,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::+:++++++++++++%%#######%+:++,,,,,,,,,,,:::::::::::::::,:,,,,,,,,::::::+++++++++++++:+:+::::::::::::::::::::++%########@##%%%%++++%+++++++++%+%%++%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,::::,,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%%::::::::++++++++++++%%##@#%%#%::::,..,,,,,,,,,:::::::::::::,,,,,,,,,,,:::::::++:::+++++:+++++:::::::::::::::::::::+%%##########%%++%+++++%%+%%+++++%++%%%%+++:::::::::::::,:,,,,,,,,:,,,,,:::::,,,,,,,,,,,,,,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+:::::::+++++++++++++%%####%%#%:,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,:::::::::::++++::::+::+:::::::::::::::::::::++%########%#%%%++%+%+%++%++%++++%+%%%%%+++::::,,::::::::,,,:,:,:,:,,,,,,,,,::,:,,,,,,,,,,,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::++%%+:::::::+++++++++++++%%##@#%%%%:,,,,,,,,,,,,,,,,::::::::,,,,,,,,,,,,,,,::::::::::+++++++:::::::::::::::::::::::::::++%######%%%%%%%+++%%%+%%%++++%%%%%%%%%%++:::::::,::::,:::,::::::::,:::,,,,,::,:,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,.,,,,,,,,,,,,:::::++%%+:::::::+:+++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,:::::::::++++++++++:::::::::::::::::::::::+::+%%#####%%%%%%%%%++%%%+%%%%+%%%%%%%%%%%++::::::::::::,:::::::::::,,:::,,,,,,:,:,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,::::::::++%%:::::::+:++++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++::::::::::::::::::::::::+%%#%%##%%%%%%%%%%%%%%%%+%%+%%%%%%%%%%%++::::::::,::,,:,::::::,:,,,,,,,,,,,,,::,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,.,,,,,,,:::::::+:+%%+::::::::+++++++++++++%%%##%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:+++++++++++::::::::::::::::::::::++%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%++::::::::::::::,,::::::,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,::::::++++%+::::::+:++++++++++++++%%%%%++++,,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,::::::::::++:+++++++++:::::::::::::::::::::::+%%%%%%%+%%%%%%%%%%%%+%%%%%+%%%%%%%%%++::::::::::::::,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,,:::::++++%:::::::+++++++++++++++++++%%++++,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,::::::::::::::++++++++::::::::::::::::::::::+%%%%%%++%%%%%%%%%+%%+%%%+%%%%%%%++++++::::::::::::::::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::+:++++%:::::::+++++++++++++++++++++%++:,,,,,,,,,,,,,,,,,,,,,:::,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++:::::::::::::::::::::+%##%%%+++++%%%++++++++++++%+%+++++++::::::::::::,:,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
::::::,,,,,,,,,,,,,,,,,,,,,,,,,:::++++%+:::+::::+++++++++++++++%+:++%%+:,,,,,,,,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,,,::::::+::+:::::++++++++++::::::::::::::::::::+%%%%%%%%+++++++++++++++++++++++::::::::::::::::::,:::,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%:::::::::++++++++++++++++++%%%+:,,,,,,,,,,,,,,,,,,,,:::::,,,,,,,,,,,,,,,,::::+++++++++++++++++++++::::::::::::::::::::+%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,,,,,::::++%%%::::+::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,:::::+++++%##%%%++++++++++++:::::::::::::::::::+%%%%%%%%+++++::::::::::::::::::::::::::::::::,:::,,,,,,:::,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,:
:::::::,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,::::::::,,:++++:::,,:::::+++%%###%%%%%+++++++++++++:::::::::::::::::+%%%%%%%%+++++:::::::::::::::::::::::::::::::,,,,:,,,,,,:::,,,,,,,,,,,,,,::::,,,,,:,,,,,::::
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,:::+:::::::+++++++:::::::+++%%%%%%%%%%++++++++++++++:::::::::::::::::+%%%+%%%%+++++::::::::::::::::::::::::::::,,:,,,,,,,,,,,,:,,,,,,,,,,:,,,,,,:::,,,,,,,:::::::
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::+++++:+++++++++++++++++%++:,,,,,,,,.,,,,,,,:::++:::::,:::::::::::::++++++%%%%%%++++++++++++++++++:::::::::::::::++%%%++%%+++++++::::::::::::::::::::::::,:,,:,,,,,,,,,,:,,::,,,,,,:,,,,,,,,,,::,,::::::::::::
::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%::::::++++++++++++++++++++++%++:,,,,,,,,,,,,,,,,::+++::,::,,,:::::::::::+++++++%%%+++++++++++++++++++++:::::::::++:::++%%+++%%+++++++:::::::::::::::::::::::,::::::::::,,,,,,,,,::::,,,,,,,,,,,,:,:,:,,::::,::::,,
::::::,,,,,,,,,,,,,,,,,,,,,,::::::::++%%::::++++++++::::::::::::::++%++:,,,,,,,,,,,,,,,:::++:::::,,,,,::::::::::++++++++%%+++%+++++++++++++++++++::::::+++:++++%%%++%+++++++++:::::::::::::::::::::::::::::::::,::,:,::,:,,:,,,,,,:::::::,::::::::::,,,,,,
:::::,,,,,,,,,,,,,,,,,,,,,,::::::::::::+::::::::::::::::::::::::::+++++:,,,,,,,,,,,,,,,:::++::::,,,,,,::::::::::++++++++%+++++++++++++++++++++++++::::+++++++++%%%++++++++++++++++++++++:::::::::::::::::::::::::,::::,:,:::::,,,:,,,:::,::,,,:,:,:,,,,,,,
::::,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::,::,,,,,,,,::::::::::+++++,,,,,,,,,,,,,,:::++:::::,,,,:::::::::::::::+++++++++++++++++++++++++++++++++:::++++++++%%%++%%%%%++++++++++++++++++:::::::::::::::::::::::::::::,::::::::::::::::::::,:,,:,,,,,,,,
,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::,:,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::+++:::::,,,,:::::::::::::::++++++++++++++++++++++++++++++++++:+:+++++++%%+++%%%%%%%%%%+++++++++++++++++::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::++:::::,::,,::::::::::::::::++++++++++++++++++++++++++++++++:+++++++++++%++%%%%%%%%%%%%%%%%%%%++++++++++::::::::::::::::::::::::,::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::,:,,,,,,,,,,,,,,,:::::::::::++++,,,,,,,,,,,,,:+++:::::::::::::::::::::::::::++++++++++++++++++++++++++++++++:++++++++++%++%%%#####%%%%%%#%%%%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::,:,,,,,,,,,,,,,,,,::::::::::++++++:,,,,,,,,,,,::++:::::::::::::,,,,,,:::::::::::+++++++++++++++++++++++++++++++++++++++++%+++%%%%##%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,,,,,,,,:::::::::+++++:++++:,,,,,,,,,,,:++++:::::::,,,,::,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++:::::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,:::,,,,::::::::::+++++++++++++:,,,:,,,,,,,:++:::::::::,,,,,,,,,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++++::::::::::::::::::::::::::::::,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,,:::::::::::::::++++++++++++++++++,,,:,,,,,,::++:::::::::,,,,,,,,,,,,,,,:::::::::+++++++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++:::::::::::::::::::::::::::,,,,,,,,,,,
,,,,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,::::::::::::::++++++%++%%%%%++++++,,,::,,,,,:+++::::::::,,,,,,,,,,,,,,:::::::+++++++++++++++%%+++++++++++:+++++++++++++++++++++++%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::+:::::::::,,,:,,,,,,:,
,,,,...,,,,,,,,,,,,,,,,,,,,,,,,:,,,::,,,:::::::::::++++++%%%%%+++%%+:::::+:,,:::,,,,:++::::::::,,,,,,,,,,,,::::::::+++++++++++++%%%%%%%%%%+++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%++++++++++++:+:+:::::::::::,,,:,,,,,,,:
,,,,...,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::++++++++%%%%%%%+++++++::,,,,::,,,::,,,::++::::::::,,,,:::::::::::::++++++++++++++++++++%##@##%++++++::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%++++++++++++:::::::::::,::,,::,,,,:
,,,.,.,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++++++%%%%%%+++++++++++:,,,,,::,,,::,,,,:++:::::::::::::::::::,,:::::++++++++:::++:::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%+%+%%++++%+%%%%%+++++++++::::::::::::,::::::::,,
,,,,..,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++++%%%%%%++++++++++++++::,,,,,::,,,,::,,,:++::+++::::+++::::,,,,,,,,,,::::,,:::,,:::::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%%%%%%+%+%%%%++%++++++++++%%%%%%%%++++++::::::::::::::::::,:,
,,,,.,.,,,,,,,,,,,,,,,,,,,,::::::::::::::++++%%%%+++++++++++++++++::,,,,,,:,,,,::,,,:++::+++::+%#%::,,,,,,..,,,.,,:,,,,,:,,,:::::::+%##@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%+%%%+%+++%%%+%%++++++++++++++++%%%+++++++:::::::::::::::::::
,,......,,,,,,,,,,,,,,,,,,:::::::::::::++++%%%%+++++++++++++++++++::,,,,,,:,,,,:::,,::+::+++++%@#+:,,,,.,,..,,..,,:,,,,,,,,,:::::::++##@@@#++++:::++++++++++++++++%++++++%%%%%%%%%%%%%%%%+%%%%%%%%%%+++%%+%%+++%++++++++++++++++%%%%+++++:::::::::::::::::
,,.,,..,.,,,,,,,,,,::,,:,::::::::::++++++%%%++++++++++++++++++++++::,,,,,,,,,,,:::,,,::::++++%#@#+:,,,,.,,..,,..,,,,,,,,:,,:::::::::+%#@@#%+++++::+++++++++++++++%%+++++%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%+%%%%++++++++++++++++++++++%%%%++++:+::::::::::::::
,,,,,..,,,,,,,,,,,:::::::::::++::++++++%%%+++++++++++++++++++++++++::,,,,,:,,,,,:::,,:::::+++%#@@%+,..,..,...,,,,,,,,,,,:++%%::++::++%#@#%++++++::+++++++++++++%++%%%++%%%%%%%%%%%%%%%%%+%+%+++%++%%%+++++++++%++++++++++++++++++++%%%%%%++++:::::::::::::
,,,,,...,,,,,,,,,,::::::::::++++++++%%%%+++++++++++++++++++++++++++:,,,,,,::,,,,:+:,,,::::+++%##@#%:..,,,,,.,,,,,,::,,,:+%###%%%++++%####+++++++::++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%%%%+++++++%+++%++++++++++++++++++++++%%%%%%++++:::::::::::
,,,,,,,,.,,,,,,,,::::::::::+++++++%%%%++++++++++++++++++++++++++++++:,,,,:::,,,,,:::,,::::+++:%#@#%:,.,,,,:::+::::+%++:++++%%%%++++%#@@#%+++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%++%%+++++++++++++++++++++++++++++++++++%%%%%+++++:::::::::
,,,,,,,,,,,,,,,,::::::::::+++++%%%%+++++++++++++++++++++++++++++++++::,,,:+::,,,,:::,,,:::++::+####+,,,:::++++:::++++:::::+++++++++%@@#%++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%++%++%%%%+++%++++++%+++++++++++++++++++++++++++++++%%%+++++++:::::
,,,,,,,,,,,,,,,::::::::++++++%%%%++++++++:+++++++++++++++++++++++++++:::::++:,,,,::::,,,:::+:::+###%::,::::::::::::+::::::::::::::++##%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%+%+%+%+++++++%+++++++++++++++++++++++++++++++++++++++%%%++++++++::
,,,,,,,,,,,,,,,:::::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++:,,,,::::,,,:::++:,::%##+:::::::::::::++::::::::::::::+%%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%++++%%++++%+++%++++++++++++++++++++++++++++++++++++++++%%++++++++:
,,,,,,,,,,,,,,:::::::+++++%%%+++++++++++++++++++++++++++++++++++++++++++++++:,,,,,:::,,,,::++::,,:%#%::::::::::+:::::::::::::::::++%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++%%+++++++
,,,,,,,,,,,,,:::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++++++::,,,,,:::,,,::++:,,,,:+%:,,,::::::+::::::::::::::::++%%+++++++++++++++++++++++++++%+%%%%%%%%%%%%%%%%%%+%+++%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++++++
,,,,,,,,,,,::::::+++++%%%++++++++++++++++++++++++++++++++++++++++++++++++++++:,,,,,,::,,,:::+:,,,,::++:,,,,:::::::::::::::::::+++%%++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%+%%%%+++++%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%+++++
,,,,,,,,,,,:::::+++++%%%+++:::++++++++++++++++++++++++++++++++++++++++++++++:::,,,,,:::,,,::+::,,,,,:+::,,,:::::::::::::::::+++%%%++++++++++++++++%++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%+%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++
,,,,,,,,::::::+++++%%%++:+++::::++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,::,,,:::::,,,,,,::::,,,:::::::::::::::+++%%%+++++++++++++++++%%+++++++++%+%%%%%%%%%%%%%%%%%%%%%%%%++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%%
,,,,,,,,:::::++++%%++++::+++:+++++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,:::,,::++::,,,,,,:::::,,:::::::::::::+++%%%%++++++++++++++++%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
::,,,,::::::+++++++++:::+::+:+++++++++++:+++++++++++++++++++++++:::::::::+::::::,,,,,,:::,:::+::,,,,,,,:::::,,,,:::::::::++%%%%++++++++++++++++++%%%+++++++++%%%+%%+%%%%%+%%%+++%%%%%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::,::::::+++%%++++++:++:::+:++++:++++++++++++++++++++++++++++++++::::::::::::::,,,,,,:::,,::++::,,,,,,,::::::::::::::++++%%%++++++++++++++++++++%%%+++++++++%%%%++%+%%%%%%%%++%%%++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::+++%++++++:++:+::++:++++++++++++++++++++++++++++++++:++:+::::::+:::::::::,,,,,::::::::+::,,,,,,,,,,,,::::+++++++++++++++++++++++++++++++%%++++++++++%%%%%%%+%%%%%%%%%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:+
::::::+++%%++++:::::+::+++:::+:+:+++++++++++++++++++:+++++::+:+:::::::::::::::::::,,,,:::::,:::::,,,,,,,,,,,,,:::+++++++++++++++++++++++++++++++++++++++++++%%%+++++%%%+++%%%%+%++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::+++%%%+++++::::::::::::+:::+++++++++++++++++++++:::::+::::::::::::::::::::::::,,,,,,:::,::::::,,,,,,,,,,,,,::::++++++++++++++:+++:+++++++++++%+++++++++%%%%+%%++%+%%%+++%%+++%++%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++
:++++%%%%+:::+:::::::+::::::+++::+++++++++++++++:++++:::::::::::::::::::::::::::::,,,,,,::::::::::,,,,,,,,,,,,,:::::+++++++++++:::::+++++++++++++%++++++++++%%++++%%+++%%+%+%+++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:++
++++%%%%++++:+++::::::::::::+++:+++++++++++++::++:+::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,,,,,,,,,,:::::++++++:::::::::++++++++++++++%+++++++++%%%%%%%+%++++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++%%%+++++::::::::::::+:::+++::+++++:+++++++::::::::::::::::::::::::::::::::::::::,,,,,,:::::::::::,,,,,,,,,,,::::+++:+::::::::::+:++++++++++++%%+++++++++%%%++%+++++%%+%+++++%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+%%%%++:++::::::::::::::+:+++++:++++:+++:++:+:::::::::::::::::::::::::::::::::::::::,,,,,::::::::::::,,,,,,,,,,::::::++:::::::::::++++++++++++++%++++++++++%%+++++++%++++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%%%%+:::::::::::::::::::++::+++::+++++::+:++::::::::::::::::::::::::::::::::::::::::,,,,,,::::::::::::,,,,,,,,,:::::+:::::::::::+:::+++++++++++++++++++++++%%%%+++++%+%++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%%+++:::+::::::::::+:::+:+:+:::+:++++++:::::::::::::::::::::::::::::::::::::::::::::,,,,,,::::,,::::::,,,,,,,,,::::::::::+::::::++++++++++++++++++++++++++++++%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++:::::::::::+:::::::++++:::+++::+::++++::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,::::::,,,,,,,,:::::::::::::::++++++++++++++++++++++++++++%%+%%++%+++++%+%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++:::::::::::+::::::+:+:+:+++++:+++++::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,:::::::,,,,,,,,::::::::::::::++++++++++++++++++++++++++++%%++%+++++%+%+%+%+++++++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++:::::::::::::::+::::::::+:++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,::,,,:::::::,,,,,,,,:::::::::::++++:+:+++++++++++++++++++++++%%%%%%++++%+%+%%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+:::::::::::::++:::::::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:,,:::,,:::::::::,,,,,:::::::::::+:+++++++++++++++++++++++++++++%%%+%%%+%%%%%%%%%+%++++%+%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::::::::::::+::::::++::+::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,::::,,,:::::::::,::::::::::::++:+++++:+++++++++++++++++++++++%%%++%%%%+%%%+%%%+%+%+++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::+:::::::::::++:+::+++::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%%+++%%%%%%%%%%%+%+%+%%+%+%+%+++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::::::+:::::::::::::+::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::,,,,:::,,,,:::::::::::::::::::::::::::+++++++:++++++++++++++++%%%%%+%%+%%%%%%%%%%%%%%%%%%%+%+%%%+%+++%+%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::::::::+:+:::::::::+:+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,::::,,,,,::::::::::::::::::::::::::++++++:++++++++++++%+++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::::::::+::+::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,,:::,,,,,,,::::::::::::::::::::::::++:+++++++++++++++++++%%%%%++%%%%%%%%%%%%%%%%%%+%%%%++%+++%%++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::+:::::::::::+::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,:::,,,,,,,::::,::::::::::::::::::++::++++:++++++++++++%%%%%%++%%%%%%%%%%%%%%%%%%+%%%%%%+%%+%%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++
::::::::+::::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:::::,,,::,,,,,,,,,::::::::::::::::::::::++++++++++++%++++%%%+%%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++%+%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++
:::::::::::+:::+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::,,::,,,,,,,,,,::::::::::::::::::::+++++++++++++++++%%%%%+%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%%+%++++%%++++++++++++++++++++++++++++++++++++++++++++++++
::+::::::+:+::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,:::::,,::,,,,:,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%++%%+++++++++++++++++++++++++++++++++++++++++++++++
:::::::++:::::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::::,:::,,,,,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%+%+++%++%%+++%%%%%%%%%+++++++++++%++++++++++++++++++
:::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,::::::::,::,,,,,,:::::::::::::::::::++++++++++++%%++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%+%%%%%%%%%#########%%++++++%++%++++++++++++++++++
:++::+::+:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,::::::::::::::::+++++++++++++%%%%%%+%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%++%+%%%%%%+%+%+%++%+++++++
+:+:::++:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::,,::::,:::::::::++::::++++++++++%%%%%%%%%%%%%%%%%%++%++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%%%%%%#%%%%%#%%%%%%%%%
:::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::::,:::::::::::::++::++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################
::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,::::::::::::::::++:++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################
+::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,:::::::::::++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++++%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%############################################################
+:++:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,::::::::::::+++++++++++++++++%%%%%%%%%%%%%%%%%%%+++++++++++++++++%%%%%%%%#####%%%%%%%%%#%%%%%##############################################################
+:+++::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::+:::,,,,,,,,,::::::::::::::+++++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%########@@#####@#########################################################################
++++++++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:++++:,,,,,,,,,::::::::::::::::+++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%#@@@@@@@@@@##@@@@@@@@@###################################################################
+++:+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+++++++++::,,,,,,,,,:::::::::::++++++++++++++++%%++%%%%%%%%++++++++++++++++++++++++%#@@###@@@@@##@@@@@@@@@###################################################################
++++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++::,,,,,,,,,,,::::::::::+++++++++++++++++++%%++++++++++++++++++++++++++++++%##@###@@@@@#@@@@@@@@@@@##################################################################
+++++:++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++++::,,,,,,,,,,,,,:::::::::++++++++++++++++++++++++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################
+++++:+:+::+::::::::::::::::::::::::::::::::::::::::::::::::::+:+++++++++++++++++++++++:,,,,,,,,,,,,,,,::::::::::++++++++:+::+:::::+++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################
+++++++:+:::::::::::::::::::::::::::::::::::::::::::+::::++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%############@@@@@@@@@###################################################################
+++++++++::::::::::::::::::::::::::::::::::::::++:+++++++++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,:,,,,,,,,:,::,:::::::::::::::+++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################
+++++++:++++::++:::::::::::::::::+::+:::::+++++++++%%%%%%%%++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################
+++++++++++++++++:+++:::::+::::::++:+++++++++++%%%%%#########%%++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::++++++++++++:++++++++++++%%############@@@@@@@@@@@#################################################################
+++++++++++++++++++::++++++++++++++++++++++++%%%%##############%++++++++++++++++%++%+++::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++++++++++++++++++%############@@@@@@@@@@@#########################################%#######################
++++++++++++++++++++:++++%%%%%++++++++++++%%%%%%%%#######%%#####%+++++++++++%+++%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::++++++++++:+++++++++++++%%############@@@@@@@@@@#################################################################
++++++++++++++++++++++%%##%####%%%#%%%%%%#%####%%%#######%%%####%++++%+%%%%%%%%%%%%%%##+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::::::::::::::+++::::+++++++++++++++%%#############@@@@@@@@@@@################################################################
+++++++++++++++++++%%%##########################%%%#######%%%####%%%%%%%%###%###%%%####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:+::::+:+++++++++++++%%#############@@@@@@@@@@@################################################################
+++++++++++++++++%%%#############################%%#######%%%%####%%%%%%###############+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+::+::+:::++++++++++++%%#############@@@@@@@@@@@################################################################
+++++++++++%%%%%%%%########################################%%%#####%%%############@####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++++++++++%%##############@@@@@@@@@@@@###############################################################
++++++%%%%%%%%%#%%%##############################%%########%%%###########@############%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++++++++%################@@@@@@@@@@@###############################################################
+%%%%%%%%%%##%%##%##########################################%%%###@#####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::+++++++++++++%%################@@@@@@@@@@@###############################################################
%#%%%%%%%%%%%%%%############################################%%####@@####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::++++++++++++%%#################@@@@@@@@@@@###############################################################
%#%%%%%%%%%%%###################%#%%########################%%%###@@####@@@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+:::::::++++++++++++%%##################@@@@@@@@@@################################################################
%%%%%%%%%%%%##%%%###############%%%%#########################%%###@@@###@@@###%######%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++++:::::++++::+++++%####################@@@@@@@@#################################################################
#%%%%%%%%%%%%%%%%###%############%%%%#######################%%%%###@@####@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:::::::::++:::+++++%#####################@@@@@@@@##@##############################################################
%%%%%%%%%%%%%%%%####%%##########%%%%%%#######################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++%%######################@@@@@@@#@#####################%##########################################
%%%%%%%%%%%%%%%%%##%%%%##########%%%%%%%#####################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::+++::::+++%%#######################@@@@@@@#@#####################%####################%#####################
%%%%%%%%%%%%%%%%%##%%%%%########%%%%%%%######################%%%####@@####@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::+++++:::::++%%########################@@@@@@@@@@###################%###########################################
%%%%%%%%%%%%%%%%%##%%%%%%#######%%%%%%%%#####################%%%####@@@###@#########%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++:+++::+++%%##########################@@@@@@@@#######################%########################################
%%%%%%%%%%%%%%%%%###%%%%#########%%%%%%%####################%%%%####@@@###@######%###%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:++++++%############################@@@@@@@@#########################################%######################
%%%%%%%%%%%%%%%%####%%%%%#######%%%%%%%%#####################%%######@@###@######%##%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::+++++%%##############################@@@@@@#################################################################
%%%%%%%%%%%%%%%%####%%%%%########%%%%%%%####################%%%%#####@@###@######%##%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++%%###############################@@@@@@@#################################################################
%%%%%%%%%%%%%%%%####%%%%%%%#######%%%%%%%###################%%%######@@###@######%#%%%%%%%%%%%+::,,,,,,,,,,,,,,,,.,,,,,,,,,,,::::::::::::::++++%%%################################@@@@@@@######################%##########################################
%%%%%%%%%%%%%%%%%###%%%%%%%#%#####%%%%%%%###################%%%######@@##########%%#%%%%%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::+++%%%##################################@@@@@@#######################%##########################################
%%%%%%%%%%%#%%%%%###%%%%%%%%%#####%%%%%%%%##################%%%######@@####@#####%%#%%%%%%%%%%%%%%++::,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++%%%####################################@@@@@########################%##########################################
#%%%%%%#%%%%%%%%%###%%%%%%%%%%%%##%%%%%%%%##################%%%%######@####@#####%%%%%%%%%%%%%%%%%%%%++:::::,,,,,,,,,,,,,,,,,,:::::::::++%%%#####################################@@@@@@#############################################%#####################
%%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%#%%%%%%%%#################%%%%%######@@###@######%%%%%%%%%%%%%%%%%%%%%%+++++:::,,,,,,,,,,,,,,:::::::++%%########################################@@@@@############################################%%######################
%#%%%%%%%%%%%%%%%###%%%%%%%%%%%#%%%%%%%%%%%#################%%%%%#####@@##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++::,,,,,,,,,,::::+++%%%##########################################@@@@#####################################################################
%#%%%%%%%%%%%%%%%####%%%%%%%%%%#%%%%%%%%%%%################%%%%%%#%###@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++:::::++++%%%#############################################@@@@#####################################################################
##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%%####@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################################################@############%#############%###########################################
##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%#############################################################################################################################
###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################@#################%##########################################################
###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################@@@###########################################################################
####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@@#%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################################%%#########################################################
###%%%%%#%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%####@@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################################################@##################%%#########################################################
###%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%######@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%#######################################################################%##########################################################
#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%####@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################################################################################################################################
#####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%#####@@@#%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################################%%##########################################################
#####%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%#####@@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%##################################################################%#############%############################################
#######%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%######@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##################################%%###############################%%#############%############################################
#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%#%%%#####%#%##%#%%%#####################%%%%################################%##############%###########################################
######%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@##%%%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%######################%#%%################################################%############################################
######%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%################################%%%#############################%##%################%############################################
#######%#%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%#%%%%##%######################%%%%###############################%%################%############################################
########%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%######@@@@##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#%#########################%%%%#####################%#%#####%#%################%#%###########################################
########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%#%%#%%######################%%##########%############################################################
#########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%######################%#####%%%#######################%%%###########################%%###########################################
#######%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%%%############%%%%%%%#%%%%%%%%%%%%%%%%%%%%#######################%###%#%##%%%%##%#####################%%%##########################%%%###########################################
#######%%##%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%############%%%%#%%%%%%%%%%%%%%%%%%%%#%%%#####################%#%#%%%%#%%%%%#########################%%##########################%%############################################
########%%%#%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%###%%%%#%###%%%%%#######################%###%#%%%%%%#%%#%%%%%########################%%###########################%%############################################
########%%%#%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%####%%#%######################%####%%#%#%%%%%%%%%%%%%%%%%%%########################%%%############################%############################################
##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%#####%#######%#########%%#%%###%%%%%%%%%#%%%%%%%%%%%%%%%%########################%%%%%##########################%#############################################
#########%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%############%%%%%%%%%%%%%%###########%%%#####################%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%########################%%%%############################%############################################
#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%#############%%%%%%%%%%%%%%###########%%%%%#################%%%%%##%%%%%%#%%###%%%%%%%%%%%%%%%%########################%%%%%###########################%%############################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%%%%%###########%%%%%%%%%%%%%%%###########%%%%%###############%%%%%%%#%%%%%%%%#%#%%%%%%%%%%%%%%%%%#########################%%%%###########################%%############################################
###########%%%%%%%%%%%%%%%%%#%%%%%%%%%%%+%%%%+++++%%%%%############%%%%%%%%%%%%%%%############%%%%%%############%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################
#############%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%++++++%%+%%%%###########%%%%%%%%%%%%%%#############%%%%%%############%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################
############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%+++++%%+%%%%############%%%%%%%%%%%%%%%############%%%%%%#############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%#%%%#############################%####%########################################
#########%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%#############%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%############################%%%##%%%#######################################
############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%##############################%##%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%%%%%%############################%%%%%%%%%#######################################
##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%%#%##########%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%%#############################%%%%%%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%#############%%%%%%%%%%%%%%%%###########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########%#########%%##############################%%%%%%%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%##############%%%%%%%%%%%%%%%%%%%#########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%##############################%%%%%%%%%########################################
##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%%%%%#############%%%%%%%%%%%%%%%%%%%#%#######%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##########%%###%%%%##############################%%%%%%%%#########################################
##########%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%##############%%%%%%%%%%%%%%%%%%%%########%%%%%%%#############%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%#########%#%%%#%###############################%%%%%%%%%#########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%#############%%%%%%%%%%%%%%%%%%%%#%######%%%%%%############%#%%%%%%%%%%%%%%%%%%%%##%%%#%%%%####%%###%%%###%##############################%%%%%%%%%%#########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%%%%%%%%%#%#%%###########%%##%###############################%###%%%%%%%%%%%########################################
###########%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%%%###############%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%#%%%%###%##################################################%%###%%%%%%%%%%########################################
###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++%%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%%%%%#%#######################################################%####%%%##%%%%%########################################
#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%++++%%+%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%%#%%%####%###########################################################%%%%%#%%%%#########################################
#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++++%+%%%%%################%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%#%%#%#%####%####%#########################%#############%%#########%%%##%%##%%%%########################################
##########%###%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%#################%###%####%#%%###########################%#%############%%###########%#%#####%%%%########################################
###########%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%#%%#####################%#%%%%%%%%%%%%%%%%%%%%%%%%################%#####%####%%%%####%##############%##%%%%%%#########################%%%#####%#%%########################################
##########%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%+%%+%%%%%%%#################%#####%%%%%%%%%%%%%%%%%%%%%%%%########################%#%%######%######%%#%##%%%%%%%%%%##########################%%######%%%%########################################
##########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%+%%%%%%%%#######################%%%%%%%%%%%%%%%%%%%%%%%%%%#############%#######%###%%%%%##%##%%%###%%%%%%%%%%%%#########################%%%%%#####%%%%%#######################################
#########%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%%%%%################%%%%##%##%%##%%#%%%%%%%%%%%%%%%%%###########%%%%##########%%#%#%%%%%%#%%%%%%##%%%%%%%#########################%%%%%#######%%%%%######################################
#########%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%%%%%##################%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%#########%%%#%###%####%#%#%%#%%%%%#%%%%%%%%%%%%%%#%#####################%%##%%%%########%%%%#######################################
#########%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%###############%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%#########%%#%%%###%#%########%%#%%%%%%%%%%%%%%%%%%%####################%%%##%%%%%########%%########################################
#########%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%%%##############%%%%%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%#######%#######%#%%%%%%%%%%%%##%%%%##################%%%%%#%%%%%##################################################
########%#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%%%%############%%%%%%%%%%%%%##%#%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%%%#############%%%%%%%%%%%%%%#%%%##########%%#######%%%%%%%%%%###################################################
#########%%%%%#######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%+%%%%%%%+%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%##%####%%%%%%%%%%%%%%%%%##%##########%########%%%%%%%%%%%###################################################
########%%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%++%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%#############%%%%######%%%%%%%%%%####################################################
########%%%%%#%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++%+%%%+++%++%%##################%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%##%%%%%%%%%%#%%%%%%%#####%########%%%%######%%%%%%%%%%####################################################
#########%%%%####%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%++%++%%%%+++++%%###################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#%%%%##############%%%%%######%%%%%%%%%%####################################################
#########%%%%########%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%+%+++%+%%%%%%+++++%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%#%#################%%%%%#####%%%%%%%%%#####################################################
#######%#%%%%##%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%++++%%%%%###############%%%%%%%%%%#%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%##################%%%#%%####%%%%%%%%%######################################################
#######%#%%#%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%++++%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%#%%%%#####%%%%%%%%######################################################
#######%%%%%###%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%+++%%%%%%%##############%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%#########%%%%######################################################
#######%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%###########%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################%%%%%########%%%%%#######################################################
#######%%%%%%%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%#%%##########%%%%%%%##%%%%%%%%%%%%%%%%%%#%%%%%#%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%###############%#####%#%##########%%%%%#######################################################
########%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%#########%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%#################################%%%%#########################################################
######%%%%%#%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#########%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%#############%%%##########################################################
######%%%%%###%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%##%############%#%%###########################################################
####%#%%%%%###%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%####%%#%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%###############%%%%##########################################################
######%%#%%#%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%############%%%##############%%%%%##########################################################
#########%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##########################%%%%%###########################################################
######%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%###########################################################
#####%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#########################%#%%%%#############################################################
##%%%%%%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%########################%%%%%%%%#############################################################
##%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%###############################################################
##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%###############################################################
###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%%%##############################################################
#%%#%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%%###############################################################
#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%%%################################################################
##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%###%###############################################################

[https://asciiartattack.de/bildgeneratoren/einsteiger/](https://asciiartattack.de/bildgeneratoren/einsteiger/ "Zurück")

Carica questo file come /index.md sul tuo server affinché gli agenti IA possano accedere a una versione pulita della tua pagina. Puoi anche configurare la negoziazione dei contenuti Accept: text/markdown per servirlo automaticamente.

llms.txt generato per questa singola pagina

Scarica llms.txt
# woogie.de

> Yet another ASCII Art Attack image.

## Main
- [ASCII Art Attack](Http://Woogie.de): Yet another ASCII Art Attack image.

Il llms.txt completo richiede un'analisi dell'intero dominio (prossimamente)

Carica questo file come http://woogie.de/llms.txt nella radice del tuo dominio. Agenti IA come ChatGPT, Claude e Perplexity controllano questo file per comprendere la struttura del tuo sito.

HTML Semantico

Utilizza elemento article o main (0/100)

Missing <article> and <main> elements

Gerarchia di intestazioni corretta (100/100)

Clean heading hierarchy

Utilizza elementi HTML semantici (50/100)

No divs or semantic elements found

Testi alt delle immagini significativi (100/100)

No images found

Bassa profondità di annidamento div (100/100)

No divs found

Efficienza dei contenuti

Buon rapporto di riduzione token (0/100)

7% token reduction (HTML→Markdown)

Buon rapporto contenuto-rumore (100/100)

Content ratio: 97.3% (83309 content chars / 85595 HTML bytes)

Stili inline minimi (100/100)

1/344 elements with inline styles (0.3%)

Peso della pagina ragionevole (100/100)

HTML size: 84KB

Scopribilità IA

Ha file llms.txt (0/100)

No llms.txt found

Ha file robots.txt (0/100)

No robots.txt found

robots.txt consente bot IA (100/100)

No robots.txt — AI bots allowed by default

Ha sitemap.xml (0/100)

No sitemap found

Supporto Markdown for Agents (0/100)
&#10007; Accept: text/markdown &#10007; .md URL &#10007; <link> tag &#10007; Link header
Ha Content-Signal (robots.txt o header HTTP) (0/100)
&#10003; robots.txt &#10003; HTTP header &#10007; Policy

Dati Strutturati

Ha Schema.org / JSON-LD (0/100)

No JSON-LD / Schema.org found

Ha tag Open Graph (0/100)

0/3 OG tags present

Ha meta descrizione (50/100)

Meta description too short: 35 chars

Ha URL canonico (0/100)

No canonical URL

Ha attributo lang (0/100)

No lang attribute on <html>

Accessibilità

Contenuto disponibile senza JavaScript (100/100)

Content available without JavaScript

Dimensione della pagina ragionevole (100/100)

Page size: 84KB

Il contenuto appare presto nell'HTML (100/100)

Main content starts at 0% of HTML

{
  "url": "Http://Woogie.de",
  "timestamp": 1783314605459,
  "fetch": {
    "mode": "simple",
    "timeMs": 93,
    "htmlSizeBytes": 85595,
    "supportsMarkdown": false,
    "markdownAgents": {
      "contentNegotiation": false,
      "mdUrl": {
        "found": false,
        "url": null
      },
      "linkTag": {
        "found": false,
        "url": null
      },
      "linkHeader": {
        "found": false,
        "url": null
      },
      "responseHeaders": {
        "contentSignal": null,
        "xMarkdownTokens": null,
        "vary": null
      },
      "frontmatter": {
        "present": false,
        "fields": [],
        "level": "none"
      },
      "level": "none"
    },
    "statusCode": 200
  },
  "extraction": {
    "title": "ASCII Art Attack",
    "excerpt": "Yet another ASCII Art Attack image.",
    "byline": null,
    "siteName": null,
    "lang": null,
    "contentLength": 83309,
    "metadata": {
      "description": "Yet another ASCII Art Attack image.",
      "ogTitle": null,
      "ogDescription": null,
      "ogImage": null,
      "ogType": null,
      "canonical": null,
      "lang": null,
      "schemas": [],
      "robotsMeta": null,
      "author": null,
      "generator": null,
      "markdownAlternateHref": null
    }
  },
  "markdown": "..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n................................................................................................................................................................................................,.....................................,...................\n...............................................................................................................................................................................................,,....................,................,.,.................\n......................................................................................................................................................................................,,..,,...,....,....,.,..,..,...,...........,..,,....................\n.........................................................................................................................................................................,.......,,.,,,,,.,,,,,,..,,,,,,,,,,,.,.,.,.,,,...,,..,..,,..,....,.,.............\n.......................................................................................................................................................................,.,.,..,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,.,,,,,,,,.,,,,,,,,,.,,..........\n.................................................................................................................,,..............................................,,..,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,.,..,,...,.,...,....\n.........................................................................................................,,....,,,,,..........................................,.,,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........\n......................................................................................................,,,,,,:::,,,.,,.......................................,.,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,,,,,...,,..,..\n....................................................................................................,,::::::::++::,,,...................................,.,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,.,,,...\n...............................................................................................,,,,::+++++++:::+++:,,::,,,,.............................,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,,,..\n.............................................................................................,,,::++%%%%%%%%++++%%++:+++++:,,,,,......,,...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,.\n...........................................................................................,,,::+%%%%%%%%%%%%%%%%%%%%%%%%%++:,,,,...,,,,.....,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,\n..........................................................................................,,:+%%%%%%%%%%%%%%%%###%%%%%%%%%%%%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.....................................................................................,,,,,:+%#####%%%%%%##%%%%######%%%%%%%%%%%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n....................................................................................,,,,,:+%%########%%%#####%########%%%%%%%#%%%%%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.................................................................................,,,,,::+%%%%####################@#######%%%#####%%#%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...............................................................................,,,:++++%%%#######%############@##@@@@@###############%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n............................................................................,,,:++%%%%%%#####################@@@@#@@@@@@@@@####@@@#####%%++::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n..........................................................................,,,:++%%%%%######@@##########@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#####%%+++::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.........................................................................,,::+%%%%%%#%######@@##########@@@@#@@@@@@@@@@@@@@@@@@@@@@@@@####%%%%+++:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.......................................................,,...............,,:++%%%%%%#########@@@#######@#@@@@@@#@@@@@@@@@@@@@@@@@@@@@@@#@######%%%++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...........................,..................,..,,,,,,,,,.,,....,,..,,,,:+++%%%%#%#####@@##@@@@@#########@@@#####@@#@@@@@#@@@@@@@@@@@@@@@######%+++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n..........................,,,,,............,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%#%%#####@##@@@@@@@@@@@@#########################@@@@@@@@@@@@@@####%%%+:::::,,,,,,,,,,,,,,,:,,,,,,:,,,,:,,,,,,,:,,,:::,::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.........................,,,,,:,,,,.....,,.,,,,,,,,,,,,,,,,,,,,,,,,.,,,:+%%%%%######@@@@@#@@@@@@@@@####%%%%%%%%%%%%%%%%%%#%######@@@@@@@@@@@@@###%%%+::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::,,,,,:::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...............,,,,.....,,,,,::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%%%########@@@@@@#@@########%%%+++%%+++++++++%%%%%%%%%%%####@@@@@@@@@@###%%++::::::,,,,:,:::,:,,:,:,,,:,::,,,:,,,::::,,,:,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...............,,,,,,,..,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%#%###@@@@@#@@@@@@@#####%%%%++++++++++++++++++++++++++++%%%###@@@@@@@@@##%%%++::::::,,,,,,:,:,:,,,::,::,::,::,::::::::::::,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.............,,,,:::,,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%#%#####@@@@@@@@@@@##%%%%++++++:::::::::::+:++++++++++++++++%%%##@@@@@@####%%%+::::::::,,::,:::,:::::::::::::,::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,\n.............,,,:::::,..,,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%########@@@@@@@###%%%++++::::::::::::::::::::+++++++++:++++++%%%#@@@@@@####%%%+::::::::,:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%###@@@#@@@@@@##%%+++:::::::::::::::::::::::::::::+::::::++++++%%##@@@@@@###%%++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,::::::,,,,,,,,::,,,,,,,,:::::,,,,,,,,,,,,,,,,,,,,,,,,,:+%%##@@@@@@@@###%%++::::::::::,:::::::::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,:::,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,::+%%####@@@@@@#%%+:::::::::::,,,,,,:::,,::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,::::::,,,,,,,:::::,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@@##%++:::::,::::,:,,,,,,:,,,,,:::::::::::::::::::::::::+++++%##@@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,:::::,,,,,,::::::::,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@##%++:::::,,,:,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%%#@@@@@##%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,::::::,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,:%%#####@@###%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%##@@@@##%%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,::::::,,,,,,::::::::,,,:,,,,,,,,,,,,,,,,:+%#####@@###%+:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++%##@@@@##%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,\n...........,,,,,:::::,,,,,,,::::::,,,,,::::::::::,:,,,,,,,,,,,,,,,,::%######@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::++:++%##@@@##%%%+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::::::,,,,,,,,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::,,,:,,,,,,,,,,,,:+%####@@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+:+++%#@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::+::::::::+::::::::::++:::::,,,,,,,,,,,,,,,,,,,,,\n..........,,,,::::::,,,,,,,,::::::,,,,,,:::::::::::::::,,,:,,,,,,,,:+#########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::++++##@@@####%%:::::::::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::+:::::,,,,,,,,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::::::,::,:,,,,,,::%########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::+++%##@@#####%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:::::,,,,,,,,,,,,,,,,,,,,\n...........,,,,:::::,,,,,,,,::::::,,,,,:::::::::::::::::::,:,,,,,,:+%#######%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::+++%#@@######%+::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:,:,::++:::::,,,,,,,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,:::++:::::::::::::::::,:,,::+%######%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%##@@#####%+++:::::::::::::::::::::::::::+++::::::::::++::::::::::::,,,,,,:+++:::::,,,,:,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,:::+++:::::::::::::::::::,::+%%#####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:::::::::::::::::::::::::::+++%########%++::::::::::::::::::::::::::::+++::::::::::++::::,:::::::,,,,,,::+++:::::,,,:,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,:::++++:::::::::::::::::::::+%%####%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,:::::::::::::::::::::::::::::++%###@#####%++::::+:::::::::::::::::::::+++++:::::::::+++:::,:::++::,,,,,:::++::::::,,,,:,,,,,,,,,,,,,\n..........,,,,,::::,,,,,,,,,::+:::,,,,,::++++::::::::::::::::::::::+%%####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::+++%########%++::::::::::::::::::+:::::::++++:::::::::::++:::,:::++:::,,,,,::++::::,,,,,,::,,,,,,,,,,,,\n..........,,,,,::::,,,,,,,,,::+:::,,,,,:::+++:::::::::::::::::::::+%%%%##%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::::::::::::::::::::::::::::++%########%%+::::::::+++:::+:::::::+::::++++::::::::::++::::,::+++::,,,,,::++:::,,,,,,,,,,,,,,,,,,,,,\n.........,,,,,:::::,,,,,,,,:::::::,,,,,:::::+:::::::::::::::::::::+%%%###%::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::,::::::::::::::::::::::::::::++%%########%+:++::::+++:::+++:+::++:++++++++::::::::::++:::::::+++::,,,,,::+++:::,,,,,,,::::,,,,,,,,,\n.........,,,,,:::::,,,,,,,,:::+:::,,,,,:::+++:::::::::::::::::::::%%%%#%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::::++%#########%++++++++++++++++++:+++::+++++++::::::::::+++::::::+++:::::,:::+++::::,,::::::,:,,,,,,,,,\n........,,,,,,:::::,,,,,,,,::+++:,,,,,,,::+++::::::::::::::::::::+%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%#########%++++:++++++++++++++++++++++++++::::::::::+++::::::+%++::::::::+++:::,,,,:,,::::,,,,,,,,,\n........,,,,,::::::,,,,,,,:::++::,,,,,,:::+++::::::::::::::::::::+%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::+++::::::+%%+::::::::+++:::,,,,:::,,:::,,:,,,,,\n.......,,,,,,::::::,,,,,,,:::+++:,,,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::++++:::::+%%+::::::::+++:::,,,,::,,:,::,:,,,,,,\n......,,,,,,,::::::,,,,,,,,::++::,.,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%%##########+++++++++++++++++++++++++++++++:::::::::+%++:::::+%%++::::::::++::::::,,,,:::::,,:,,,,,\n......,,,,,,,::::+:,,,,,,,,::++::,,,,,,::++++::::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::++%%##########%++++++++++++++++++++++++++++++:::::::::+%%+:::::++++:::::::::+++::::,,,,::::::,,::,,,,\n......,,.,,,,,:::+:,,,,,,,,::++::,,,,,:::++++::::::::::::::::::::+%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::++%##########%+++++++++++++++++++++++++++++++::::::::+%++:::::::+::::::::::+++:::::::,::::::::,:,,,,\n........,,,,,,:::+:,,,,,,,,::++:,,,,,,:::++++:::::::::::::::::::++%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::+:::::::::::::::::::++%%#########%+++++++++++++++++++++++++++%++++:::::::+%+:::::::::::,:::::,::+:,,:,,,,,:,::::::::,:,,\n.........,,,,,:::::,,,.,,,,::++:,,,,,,:::+++++::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++++:::::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,::,,,,,,:::,,,:,,:,,,::::::::,:::,\n.........,,,,,::::,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::++++++++++++%%+++++::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,,,,:,,,,:,,,,:,:,,,,,,,,::::::,:::\n...,.....,,,,,::+:,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,:::::++++%%%%%%%%%%%%%%%+++::::::++%%##########%++++++++++++++++++++++++++%+++++:::::::::::::::::::::::::::::,,::::,,,,,,,,::::::,,,,\n,...,.,..,,,,,::::,,,.,,,,::+++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,::::::::+++++%%%%%%%%%%%%%%%%++++::::+++%%#########%++++++++++++++++++++++++++%+++:::::::::::::::::::::::::::::,,,:::::,,,,,,,,,:::::::::\n....,,,.,,,,,,::::,,,,,,,,::++:,,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,::::::::::+++++%%%%%%%%%%#%%%%%%%%%++:::+++%%#########%++++++++++++++++++++++++++%++++::::::::,::::::::::::::::::,,,:::::,,,,,,,,,,::::::::,\n.....,,,,,,,,:::+:,,,,,,,,::++:,.,,,,,::+++++::::::::::::::::::+%%%%%%+::,,,,,,,,,,,:::++++++++:::::,,,,,,,,,,:::::::::+++++%%%%%%%%%%%%%%%+%%%+++++:::+++%#####@@###++++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,,::::::,,,,,,,,,,,::::::::\n,...,,,..,,,,:::+,,,,,,,,,:+++:...,,,,::++%++::::::::::::::::::+%#%%%%+::,,,,,,,,::::++++++++++++::::::::,,,,,,:::::::+++++++++++++++:::,,,,,,,,,,,,,,::++%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,:::::,,,,,,,,,,,,:::::::::\n,..,,:...,,,,,:::,,,,,,,,,:+++,..,,,,,::++%++::::::::::::::::::+%%%%%%+::,,,,,,::++++%%%+++%%++++::::::::,,,,,,::::+++++++++++::::,,,,,,:::::::::::::,,,:+%#####@@###%+++++++++++++++++++++++++%++++:::::::::::::::::::::::::,,:::::,:,,,,,,,,,,,:::::::::\n,.,,,,...,,:,:::::,,,,,,,,:+++,..,,,,,::++%+::::::::::::++::::++%%%%%%++:,,,,,:+++%%%%%%%+++++++++::::::::,,,,::::+++++++++::,,,::::::::::::::++++:::::,:+%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::,,:::,,::,,,,,,,,,,,,,,:::::::\n,...,:,,,,::::++++,,,,,,,,:+++,..,,,,,::+%%+::::::::::::::::+:++%%%%%%++:,,,,:+++++++%%+++++++++++::::::::,,,,::::++++++::,,::::::::::::::::::+++++++::::+%%####@@####+++++++++++++++++++++++++%%+++::::::::::::::::::::::,,,,::::,,:,,,,,,,,::,,,,,::::::\n,..,,,,,,,,,::+%+:,,,,,,,:+++:,.,,,,,,:++%%+:::::::::::++:::+:++%%%%%%++:,,,::+%%++++:++++++++++++++:::::::,,,:::+++::,,,,:++::::::::::::::::::+++++++:++++%####@@####%++++++++++++++++++++++++%%+++:::::::::::::,::::::::,,::::,:,,,,,,,,,,,:,,,::,::::::\n,..,,,,,,,,,::++,,,,,,,,,::+%:,.,,,,,::++%%+:::::+::+::+:++::+++%%%%%%+::,,,::++++::,,::::,:::::::::::::::::::::::,,,,,:++++::::::::::::::::::::++++++:++%%%%#########%++++++++++++++++++++++++%%++++::::::::::,:,::::::::,:::,,::::,,,,,,,,,,,,,,,:::::::\n,..,,,,,,,,,,:::,,,,,,,,,,:++:,,,,,,,::++%%+:::::::+::+++:+:+++%%%%%%%+::,,,::+::,...........,,,,,,,,,,,,,.....,.,,.,,++++++:::++++::++++++::::::++++++++++%%%###@@###%++++++++++++++++++++++++%%+++::::::::::,,,,,:::::::::::::,,,,::,:,,,,,,,,,,,,,:::::\n,,,,,,,,,,,,,,::,,,,,,,,,,::+:,,,,,,,::++%%+:::::::::++++:+++++%%%%%%%+::,,,,.......,,,,::::::::::::::,,...  ..,,,,,,:+++++++++++++::++:++++++:::++++++++++%%%%##@#####%++++++++++++++++++++++%%%+++:::::::::::::::::::,,::::::::::,,:,,,,,,,,,,,,,,::::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,::++%%+:::::::::++++++++++%#%%%%%+:,......,:,,,:,,,,::::::+::+:++::,.....::+::,,:+++++++++++++%%%%%+++++++:::+++++++++%##%#@@#####%++++++++++++++++++++++%%%%++:::::::::::::::::::,:,,::::::,,,,,,,,,,,,,,,,,,,,,::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::+::::++++++++++++%%%%%%:.....,::::,,,,,,,,:::++++++++++::,.,,:::++++:,,+%%%%%%%++%%%######%%+++++::::+++++++%######@@###%+++++++++++++++++++++++%%%++:::::::::::::::,,,:,,,,,:::,,,,,,,,,,:,,,,,,,,,,,,::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::::::+++++++++++++%%%%%+...,::::::,,,,,,,,:::+++++%%+++++:,,:::::::+++,,+%%%%%%%%%+%%%#####%%%%%+++::::++++++%##@##@@@@##%+++++++++++++++++++++++%%%++::::::::::::::::::::,,,,::,,,,,,,,,:,:,,,,,,,,,,,:::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%%%::::::::+++++++++++++%%%%%:.,::+++:::,,,,,,::::++%%%%%%%%%++:,,:::::::+++:,+%%%%%%##%+%%%###%%%%%%#%+++:::++++++%##@@###@@##%+++++++++++++++++++++++%%%++:::::::::::::,,:::::::,,:,,,,,,,,:,::,,,,,,,,,,,,,::::\n:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::+%%+::::::+++:++++++++++%##%#%:,::++++::,,,,::::++%#####%%%%%%%++,::+::::::+%+,:+%%%##%%%++%%%%%%++++%%%%++:::++:+++%##@@@####@##%++++++++++++++++++++++%%%+++:::::::::::,,:::,,:,,,:,,,,,,,,:,,,,,,,,,,,,,,,,,,:::\n::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+::::::+:+:++++++++++%##%%%+:+:++++::,,,::::+%%%%###%%%%#%%%+:,:++:,,:::+++::+%%%%%%%++++++++++++++++++++:::::+++%###@@@@#####%%+++++++++++++++++++%+%%%+++:::::::::::,:,,,,,,,,,,,,,:,,,::::,,,,,,,,,,,,,,,,,::\n:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+::::::::++++++++++++%##%%%+%++++++:,,,:+++%%%%%%####%%%%%%%+:,:+:,,,:::++%+++%%%%%%++++++++++:::++:++::::::::+++%####@@@@####%%++++++++++++++++++%++%%%%++++:::::::::::,,,,,,:,,,,,,,,,,:,:,,,,,,,,,,,,,,,,,,,:\n:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+:::::::+:+++++++++++%###%%%%+++++:,,,:++%%+++++%%%%%++++++++:,+%:,,,::::++%++%%%%%%%%+++++++++++++++++::::::::++%%####@@@#####%+++++++++++++++++++++%%%%++++::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::\n:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+:::::+++++++++++++++%##%%%%%+:+++:,,:+++++:::::+++++++++++++::++:,,,::::+++++++%%%%%%%+++++++++++++++:::::::::++%%####@@M@###%%+%%%+++++++++%+++++++%%%%+++::::::::::::::,,,,,,,,,,,,,,,,:,,,,,:,,,,,,,,,,,,:::\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+::::::++++++++++++++%##%%%%%++++%:,,::::::::::::::++++++++++::::,,,::::::+++++++++%%%%+++++++++++::::::::::::::++%#####@M@@##%%++%%+++++%%++%++%+++++%%%+++:::::::::::::::,,,,,,,,,,,,,,,,,,,,:,:,,,,,,,,,,,,,:\n:::,,,,,,,,,,,,,,,,,,,,..,,,,,,,,,:::+++%%+::::::+:+++++++++++%%%%##%#%%++%+:,,:::::,,,::::::++++++++:::::,,,,::::::++++++++++++++++++++++++:+::::::::::::++%#####@@@@###%%+++%++++%%+++++%++++%%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,,,,,,,,:,,,,,,,,,,,,,:\n::::,,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%%+::::::+++++++++++++%%%%#####%++%%:,,,,,,,::::::+++++++++:::::::,,,,:::::::+++++++++++++++++++++++::::::::::+:::++%%#####@@@@##%%+++%%%+%%+%%%+++%%%%+%%%+++:+:::::::,:,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,::::,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%+:::::++++++++++++++%%%%#####%++%+:,,,,,,,,:::++++++++::::::::::,,,,::::::::++++++++++++++++++++:::::::::::::+:::+%%######@@@@##%%+++++%++%++++%++%+++%%%+++++:::::::::,,,::,:::,,,,,,,,,,,,,::,,,,,,,,,,,,:,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::++++++++++++++%%%######%++++:,,,,,,,::::+++++::::::::::::,,,,,,::::::+++++++++++++++++:::::::::::::::::++::++%%######@@@#%%%%%+%%++%++++++%++%%++%%%++++::::::::::,,:,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::+:++++++++++++%%#######%+:++,,,,,,,,,,,:::::::::::::::,:,,,,,,,,::::::+++++++++++++:+:+::::::::::::::::::::++%########@##%%%%++++%+++++++++%+%%++%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,::::,,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%%::::::::++++++++++++%%##@#%%#%::::,..,,,,,,,,,:::::::::::::,,,,,,,,,,,:::::::++:::+++++:+++++:::::::::::::::::::::+%%##########%%++%+++++%%+%%+++++%++%%%%+++:::::::::::::,:,,,,,,,,:,,,,,:::::,,,,,,,,,,,,,,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+:::::::+++++++++++++%%####%%#%:,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,:::::::::::++++::::+::+:::::::::::::::::::::++%########%#%%%++%+%+%++%++%++++%+%%%%%+++::::,,::::::::,,,:,:,:,:,,,,,,,,,::,:,,,,,,,,,,,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::++%%+:::::::+++++++++++++%%##@#%%%%:,,,,,,,,,,,,,,,,::::::::,,,,,,,,,,,,,,,::::::::::+++++++:::::::::::::::::::::::::::++%######%%%%%%%+++%%%+%%%++++%%%%%%%%%%++:::::::,::::,:::,::::::::,:::,,,,,::,:,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,.,,,,,,,,,,,,:::::++%%+:::::::+:+++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,:::::::::++++++++++:::::::::::::::::::::::+::+%%#####%%%%%%%%%++%%%+%%%%+%%%%%%%%%%%++::::::::::::,:::::::::::,,:::,,,,,,:,:,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,::::::::++%%:::::::+:++++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++::::::::::::::::::::::::+%%#%%##%%%%%%%%%%%%%%%%+%%+%%%%%%%%%%%++::::::::,::,,:,::::::,:,,,,,,,,,,,,,::,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,.,,,,,,,:::::::+:+%%+::::::::+++++++++++++%%%##%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:+++++++++++::::::::::::::::::::::++%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%++::::::::::::::,,::::::,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,::::::++++%+::::::+:++++++++++++++%%%%%++++,,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,::::::::::++:+++++++++:::::::::::::::::::::::+%%%%%%%+%%%%%%%%%%%%+%%%%%+%%%%%%%%%++::::::::::::::,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,,:::::++++%:::::::+++++++++++++++++++%%++++,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,::::::::::::::++++++++::::::::::::::::::::::+%%%%%%++%%%%%%%%%+%%+%%%+%%%%%%%++++++::::::::::::::::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::+:++++%:::::::+++++++++++++++++++++%++:,,,,,,,,,,,,,,,,,,,,,:::,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++:::::::::::::::::::::+%##%%%+++++%%%++++++++++++%+%+++++++::::::::::::,:,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,:::++++%+:::+::::+++++++++++++++%+:++%%+:,,,,,,,,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,,,::::::+::+:::::++++++++++::::::::::::::::::::+%%%%%%%%+++++++++++++++++++++++::::::::::::::::::,:::,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%:::::::::++++++++++++++++++%%%+:,,,,,,,,,,,,,,,,,,,,:::::,,,,,,,,,,,,,,,,::::+++++++++++++++++++++::::::::::::::::::::+%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,::::++%%%::::+::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,:::::+++++%##%%%++++++++++++:::::::::::::::::::+%%%%%%%%+++++::::::::::::::::::::::::::::::::,:::,,,,,,:::,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,:\n:::::::,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,::::::::,,:++++:::,,:::::+++%%###%%%%%+++++++++++++:::::::::::::::::+%%%%%%%%+++++:::::::::::::::::::::::::::::::,,,,:,,,,,,:::,,,,,,,,,,,,,,::::,,,,,:,,,,,::::\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,:::+:::::::+++++++:::::::+++%%%%%%%%%%++++++++++++++:::::::::::::::::+%%%+%%%%+++++::::::::::::::::::::::::::::,,:,,,,,,,,,,,,:,,,,,,,,,,:,,,,,,:::,,,,,,,:::::::\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::+++++:+++++++++++++++++%++:,,,,,,,,.,,,,,,,:::++:::::,:::::::::::::++++++%%%%%%++++++++++++++++++:::::::::::::::++%%%++%%+++++++::::::::::::::::::::::::,:,,:,,,,,,,,,,:,,::,,,,,,:,,,,,,,,,,::,,::::::::::::\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%::::::++++++++++++++++++++++%++:,,,,,,,,,,,,,,,,::+++::,::,,,:::::::::::+++++++%%%+++++++++++++++++++++:::::::::++:::++%%+++%%+++++++:::::::::::::::::::::::,::::::::::,,,,,,,,,::::,,,,,,,,,,,,:,:,:,,::::,::::,,\n::::::,,,,,,,,,,,,,,,,,,,,,,::::::::++%%::::++++++++::::::::::::::++%++:,,,,,,,,,,,,,,,:::++:::::,,,,,::::::::::++++++++%%+++%+++++++++++++++++++::::::+++:++++%%%++%+++++++++:::::::::::::::::::::::::::::::::,::,:,::,:,,:,,,,,,:::::::,::::::::::,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,::::::::::::+::::::::::::::::::::::::::+++++:,,,,,,,,,,,,,,,:::++::::,,,,,,::::::::::++++++++%+++++++++++++++++++++++++::::+++++++++%%%++++++++++++++++++++++:::::::::::::::::::::::::,::::,:,:::::,,,:,,,:::,::,,,:,:,:,,,,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::,::,,,,,,,,::::::::::+++++,,,,,,,,,,,,,,:::++:::::,,,,:::::::::::::::+++++++++++++++++++++++++++++++++:::++++++++%%%++%%%%%++++++++++++++++++:::::::::::::::::::::::::::::,::::::::::::::::::::,:,,:,,,,,,,,\n,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::,:,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::+++:::::,,,,:::::::::::::::++++++++++++++++++++++++++++++++++:+:+++++++%%+++%%%%%%%%%%+++++++++++++++++::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::++:::::,::,,::::::::::::::::++++++++++++++++++++++++++++++++:+++++++++++%++%%%%%%%%%%%%%%%%%%%++++++++++::::::::::::::::::::::::,::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::,:,,,,,,,,,,,,,,,:::::::::::++++,,,,,,,,,,,,,:+++:::::::::::::::::::::::::::++++++++++++++++++++++++++++++++:++++++++++%++%%%#####%%%%%%#%%%%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::,:,,,,,,,,,,,,,,,,::::::::::++++++:,,,,,,,,,,,::++:::::::::::::,,,,,,:::::::::::+++++++++++++++++++++++++++++++++++++++++%+++%%%%##%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,,,,,,,,:::::::::+++++:++++:,,,,,,,,,,,:++++:::::::,,,,::,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++:::::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,:::,,,,::::::::::+++++++++++++:,,,:,,,,,,,:++:::::::::,,,,,,,,,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++++::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,,:::::::::::::::++++++++++++++++++,,,:,,,,,,::++:::::::::,,,,,,,,,,,,,,,:::::::::+++++++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++:::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,::::::::::::::++++++%++%%%%%++++++,,,::,,,,,:+++::::::::,,,,,,,,,,,,,,:::::::+++++++++++++++%%+++++++++++:+++++++++++++++++++++++%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::+:::::::::,,,:,,,,,,:,\n,,,,...,,,,,,,,,,,,,,,,,,,,,,,,:,,,::,,,:::::::::::++++++%%%%%+++%%+:::::+:,,:::,,,,:++::::::::,,,,,,,,,,,,::::::::+++++++++++++%%%%%%%%%%+++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%++++++++++++:+:+:::::::::::,,,:,,,,,,,:\n,,,,...,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::++++++++%%%%%%%+++++++::,,,,::,,,::,,,::++::::::::,,,,:::::::::::::++++++++++++++++++++%##@##%++++++::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%++++++++++++:::::::::::,::,,::,,,,:\n,,,.,.,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++++++%%%%%%+++++++++++:,,,,,::,,,::,,,,:++:::::::::::::::::::,,:::::++++++++:::++:::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%+%+%%++++%+%%%%%+++++++++::::::::::::,::::::::,,\n,,,,..,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++++%%%%%%++++++++++++++::,,,,,::,,,,::,,,:++::+++::::+++::::,,,,,,,,,,::::,,:::,,:::::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%%%%%%+%+%%%%++%++++++++++%%%%%%%%++++++::::::::::::::::::,:,\n,,,,.,.,,,,,,,,,,,,,,,,,,,,::::::::::::::++++%%%%+++++++++++++++++::,,,,,,:,,,,::,,,:++::+++::+%#%::,,,,,,..,,,.,,:,,,,,:,,,:::::::+%##@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%+%%%+%+++%%%+%%++++++++++++++++%%%+++++++:::::::::::::::::::\n,,......,,,,,,,,,,,,,,,,,,:::::::::::::++++%%%%+++++++++++++++++++::,,,,,,:,,,,:::,,::+::+++++%@#+:,,,,.,,..,,..,,:,,,,,,,,,:::::::++##@@@#++++:::++++++++++++++++%++++++%%%%%%%%%%%%%%%%+%%%%%%%%%%+++%%+%%+++%++++++++++++++++%%%%+++++:::::::::::::::::\n,,.,,..,.,,,,,,,,,,::,,:,::::::::::++++++%%%++++++++++++++++++++++::,,,,,,,,,,,:::,,,::::++++%#@#+:,,,,.,,..,,..,,,,,,,,:,,:::::::::+%#@@#%+++++::+++++++++++++++%%+++++%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%+%%%%++++++++++++++++++++++%%%%++++:+::::::::::::::\n,,,,,..,,,,,,,,,,,:::::::::::++::++++++%%%+++++++++++++++++++++++++::,,,,,:,,,,,:::,,:::::+++%#@@%+,..,..,...,,,,,,,,,,,:++%%::++::++%#@#%++++++::+++++++++++++%++%%%++%%%%%%%%%%%%%%%%%+%+%+++%++%%%+++++++++%++++++++++++++++++++%%%%%%++++:::::::::::::\n,,,,,...,,,,,,,,,,::::::::::++++++++%%%%+++++++++++++++++++++++++++:,,,,,,::,,,,:+:,,,::::+++%##@#%:..,,,,,.,,,,,,::,,,:+%###%%%++++%####+++++++::++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%%%%+++++++%+++%++++++++++++++++++++++%%%%%%++++:::::::::::\n,,,,,,,,.,,,,,,,,::::::::::+++++++%%%%++++++++++++++++++++++++++++++:,,,,:::,,,,,:::,,::::+++:%#@#%:,.,,,,:::+::::+%++:++++%%%%++++%#@@#%+++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%++%%+++++++++++++++++++++++++++++++++++%%%%%+++++:::::::::\n,,,,,,,,,,,,,,,,::::::::::+++++%%%%+++++++++++++++++++++++++++++++++::,,,:+::,,,,:::,,,:::++::+####+,,,:::++++:::++++:::::+++++++++%@@#%++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%++%++%%%%+++%++++++%+++++++++++++++++++++++++++++++%%%+++++++:::::\n,,,,,,,,,,,,,,,::::::::++++++%%%%++++++++:+++++++++++++++++++++++++++:::::++:,,,,::::,,,:::+:::+###%::,::::::::::::+::::::::::::::++##%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%+%+%+%+++++++%+++++++++++++++++++++++++++++++++++++++%%%++++++++::\n,,,,,,,,,,,,,,,:::::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++:,,,,::::,,,:::++:,::%##+:::::::::::::++::::::::::::::+%%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%++++%%++++%+++%++++++++++++++++++++++++++++++++++++++++%%++++++++:\n,,,,,,,,,,,,,,:::::::+++++%%%+++++++++++++++++++++++++++++++++++++++++++++++:,,,,,:::,,,,::++::,,:%#%::::::::::+:::::::::::::::::++%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++%%+++++++\n,,,,,,,,,,,,,:::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++++++::,,,,,:::,,,::++:,,,,:+%:,,,::::::+::::::::::::::::++%%+++++++++++++++++++++++++++%+%%%%%%%%%%%%%%%%%%+%+++%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++++++\n,,,,,,,,,,,::::::+++++%%%++++++++++++++++++++++++++++++++++++++++++++++++++++:,,,,,,::,,,:::+:,,,,::++:,,,,:::::::::::::::::::+++%%++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%+%%%%+++++%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%+++++\n,,,,,,,,,,,:::::+++++%%%+++:::++++++++++++++++++++++++++++++++++++++++++++++:::,,,,,:::,,,::+::,,,,,:+::,,,:::::::::::::::::+++%%%++++++++++++++++%++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%+%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++\n,,,,,,,,::::::+++++%%%++:+++::::++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,::,,,:::::,,,,,,::::,,,:::::::::::::::+++%%%+++++++++++++++++%%+++++++++%+%%%%%%%%%%%%%%%%%%%%%%%%++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%%\n,,,,,,,,:::::++++%%++++::+++:+++++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,:::,,::++::,,,,,,:::::,,:::::::::::::+++%%%%++++++++++++++++%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::,,,,::::::+++++++++:::+::+:+++++++++++:+++++++++++++++++++++++:::::::::+::::::,,,,,,:::,:::+::,,,,,,,:::::,,,,:::::::::++%%%%++++++++++++++++++%%%+++++++++%%%+%%+%%%%%+%%%+++%%%%%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::,::::::+++%%++++++:++:::+:++++:++++++++++++++++++++++++++++++++::::::::::::::,,,,,,:::,,::++::,,,,,,,::::::::::::::++++%%%++++++++++++++++++++%%%+++++++++%%%%++%+%%%%%%%%++%%%++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::+++%++++++:++:+::++:++++++++++++++++++++++++++++++++:++:+::::::+:::::::::,,,,,::::::::+::,,,,,,,,,,,,::::+++++++++++++++++++++++++++++++%%++++++++++%%%%%%%+%%%%%%%%%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:+\n::::::+++%%++++:::::+::+++:::+:+:+++++++++++++++++++:+++++::+:+:::::::::::::::::::,,,,:::::,:::::,,,,,,,,,,,,,:::+++++++++++++++++++++++++++++++++++++++++++%%%+++++%%%+++%%%%+%++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::+++%%%+++++::::::::::::+:::+++++++++++++++++++++:::::+::::::::::::::::::::::::,,,,,,:::,::::::,,,,,,,,,,,,,::::++++++++++++++:+++:+++++++++++%+++++++++%%%%+%%++%+%%%+++%%+++%++%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:++++%%%%+:::+:::::::+::::::+++::+++++++++++++++:++++:::::::::::::::::::::::::::::,,,,,,::::::::::,,,,,,,,,,,,,:::::+++++++++++:::::+++++++++++++%++++++++++%%++++%%+++%%+%+%+++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:++\n++++%%%%++++:+++::::::::::::+++:+++++++++++++::++:+::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,,,,,,,,,,:::::++++++:::::::::++++++++++++++%+++++++++%%%%%%%+%++++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+++%%%+++++::::::::::::+:::+++::+++++:+++++++::::::::::::::::::::::::::::::::::::::,,,,,,:::::::::::,,,,,,,,,,,::::+++:+::::::::::+:++++++++++++%%+++++++++%%%++%+++++%%+%+++++%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+%%%%++:++::::::::::::::+:+++++:++++:+++:++:+:::::::::::::::::::::::::::::::::::::::,,,,,::::::::::::,,,,,,,,,,::::::++:::::::::::++++++++++++++%++++++++++%%+++++++%++++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n%%%%+:::::::::::::::::::++::+++::+++++::+:++::::::::::::::::::::::::::::::::::::::::,,,,,,::::::::::::,,,,,,,,,:::::+:::::::::::+:::+++++++++++++++++++++++%%%%+++++%+%++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n%%+++:::+::::::::::+:::+:+:+:::+:++++++:::::::::::::::::::::::::::::::::::::::::::::,,,,,,::::,,::::::,,,,,,,,,::::::::::+::::::++++++++++++++++++++++++++++++%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n%++:::::::::::+:::::::++++:::+++::+::++++::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,::::::,,,,,,,,:::::::::::::::++++++++++++++++++++++++++++%%+%%++%+++++%+%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n++:::::::::::+::::::+:+:+:+++++:+++++::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,:::::::,,,,,,,,::::::::::::::++++++++++++++++++++++++++++%%++%+++++%+%+%+%+++++++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n++:::::::::::::::+::::::::+:++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,::,,,:::::::,,,,,,,,:::::::::::++++:+:+++++++++++++++++++++++%%%%%%++++%+%+%%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+:::::::::::::++:::::::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:,,:::,,:::::::::,,,,,:::::::::::+:+++++++++++++++++++++++++++++%%%+%%%+%%%%%%%%%+%++++%+%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::::::::::::+::::::++::+::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,::::,,,:::::::::,::::::::::::++:+++++:+++++++++++++++++++++++%%%++%%%%+%%%+%%%+%+%+++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::+:::::::::::++:+::+++::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%%+++%%%%%%%%%%%+%+%+%%+%+%+%+++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::::::+:::::::::::::+::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::,,,,:::,,,,:::::::::::::::::::::::::::+++++++:++++++++++++++++%%%%%+%%+%%%%%%%%%%%%%%%%%%%+%+%%%+%+++%+%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::::::::+:+:::::::::+:+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,::::,,,,,::::::::::::::::::::::::::++++++:++++++++++++%+++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::::::::+::+::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,,:::,,,,,,,::::::::::::::::::::::::++:+++++++++++++++++++%%%%%++%%%%%%%%%%%%%%%%%%+%%%%++%+++%%++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::+:::::::::::+::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,:::,,,,,,,::::,::::::::::::::::::++::++++:++++++++++++%%%%%%++%%%%%%%%%%%%%%%%%%+%%%%%%+%%+%%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::+::::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:::::,,,::,,,,,,,,,::::::::::::::::::::::++++++++++++%++++%%%+%%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++%+%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::::::::::+:::+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::,,::,,,,,,,,,,::::::::::::::::::::+++++++++++++++++%%%%%+%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%%+%++++%%++++++++++++++++++++++++++++++++++++++++++++++++\n::+::::::+:+::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,:::::,,::,,,,:,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%++%%+++++++++++++++++++++++++++++++++++++++++++++++\n:::::::++:::::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::::,:::,,,,,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%+%+++%++%%+++%%%%%%%%%+++++++++++%++++++++++++++++++\n:::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,::::::::,::,,,,,,:::::::::::::::::::++++++++++++%%++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%+%%%%%%%%%#########%%++++++%++%++++++++++++++++++\n:++::+::+:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,::::::::::::::::+++++++++++++%%%%%%+%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%++%+%%%%%%+%+%+%++%+++++++\n+:+:::++:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::,,::::,:::::::::++::::++++++++++%%%%%%%%%%%%%%%%%%++%++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%%%%%%#%%%%%#%%%%%%%%%\n:::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::::,:::::::::::::++::++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################\n::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,::::::::::::::::++:++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################\n+::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,:::::::::::++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++++%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%############################################################\n+:++:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,::::::::::::+++++++++++++++++%%%%%%%%%%%%%%%%%%%+++++++++++++++++%%%%%%%%#####%%%%%%%%%#%%%%%##############################################################\n+:+++::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::+:::,,,,,,,,,::::::::::::::+++++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%########@@#####@#########################################################################\n++++++++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:++++:,,,,,,,,,::::::::::::::::+++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%#@@@@@@@@@@##@@@@@@@@@###################################################################\n+++:+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+++++++++::,,,,,,,,,:::::::::::++++++++++++++++%%++%%%%%%%%++++++++++++++++++++++++%#@@###@@@@@##@@@@@@@@@###################################################################\n++++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++::,,,,,,,,,,,::::::::::+++++++++++++++++++%%++++++++++++++++++++++++++++++%##@###@@@@@#@@@@@@@@@@@##################################################################\n+++++:++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++++::,,,,,,,,,,,,,:::::::::++++++++++++++++++++++++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################\n+++++:+:+::+::::::::::::::::::::::::::::::::::::::::::::::::::+:+++++++++++++++++++++++:,,,,,,,,,,,,,,,::::::::::++++++++:+::+:::::+++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################\n+++++++:+:::::::::::::::::::::::::::::::::::::::::::+::::++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%############@@@@@@@@@###################################################################\n+++++++++::::::::::::::::::::::::::::::::::::::++:+++++++++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,:,,,,,,,,:,::,:::::::::::::::+++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################\n+++++++:++++::++:::::::::::::::::+::+:::::+++++++++%%%%%%%%++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################\n+++++++++++++++++:+++:::::+::::::++:+++++++++++%%%%%#########%%++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::++++++++++++:++++++++++++%%############@@@@@@@@@@@#################################################################\n+++++++++++++++++++::++++++++++++++++++++++++%%%%##############%++++++++++++++++%++%+++::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++++++++++++++++++%############@@@@@@@@@@@#########################################%#######################\n++++++++++++++++++++:++++%%%%%++++++++++++%%%%%%%%#######%%#####%+++++++++++%+++%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::++++++++++:+++++++++++++%%############@@@@@@@@@@#################################################################\n++++++++++++++++++++++%%##%####%%%#%%%%%%#%####%%%#######%%%####%++++%+%%%%%%%%%%%%%%##+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::::::::::::::+++::::+++++++++++++++%%#############@@@@@@@@@@@################################################################\n+++++++++++++++++++%%%##########################%%%#######%%%####%%%%%%%%###%###%%%####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:+::::+:+++++++++++++%%#############@@@@@@@@@@@################################################################\n+++++++++++++++++%%%#############################%%#######%%%%####%%%%%%###############+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+::+::+:::++++++++++++%%#############@@@@@@@@@@@################################################################\n+++++++++++%%%%%%%%########################################%%%#####%%%############@####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++++++++++%%##############@@@@@@@@@@@@###############################################################\n++++++%%%%%%%%%#%%%##############################%%########%%%###########@############%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++++++++%################@@@@@@@@@@@###############################################################\n+%%%%%%%%%%##%%##%##########################################%%%###@#####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::+++++++++++++%%################@@@@@@@@@@@###############################################################\n%#%%%%%%%%%%%%%%############################################%%####@@####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::++++++++++++%%#################@@@@@@@@@@@###############################################################\n%#%%%%%%%%%%%###################%#%%########################%%%###@@####@@@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+:::::::++++++++++++%%##################@@@@@@@@@@################################################################\n%%%%%%%%%%%%##%%%###############%%%%#########################%%###@@@###@@@###%######%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++++:::::++++::+++++%####################@@@@@@@@#################################################################\n#%%%%%%%%%%%%%%%%###%############%%%%#######################%%%%###@@####@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:::::::::++:::+++++%#####################@@@@@@@@##@##############################################################\n%%%%%%%%%%%%%%%%####%%##########%%%%%%#######################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++%%######################@@@@@@@#@#####################%##########################################\n%%%%%%%%%%%%%%%%%##%%%%##########%%%%%%%#####################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::+++::::+++%%#######################@@@@@@@#@#####################%####################%#####################\n%%%%%%%%%%%%%%%%%##%%%%%########%%%%%%%######################%%%####@@####@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::+++++:::::++%%########################@@@@@@@@@@###################%###########################################\n%%%%%%%%%%%%%%%%%##%%%%%%#######%%%%%%%%#####################%%%####@@@###@#########%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++:+++::+++%%##########################@@@@@@@@#######################%########################################\n%%%%%%%%%%%%%%%%%###%%%%#########%%%%%%%####################%%%%####@@@###@######%###%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:++++++%############################@@@@@@@@#########################################%######################\n%%%%%%%%%%%%%%%%####%%%%%#######%%%%%%%%#####################%%######@@###@######%##%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::+++++%%##############################@@@@@@#################################################################\n%%%%%%%%%%%%%%%%####%%%%%########%%%%%%%####################%%%%#####@@###@######%##%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++%%###############################@@@@@@@#################################################################\n%%%%%%%%%%%%%%%%####%%%%%%%#######%%%%%%%###################%%%######@@###@######%#%%%%%%%%%%%+::,,,,,,,,,,,,,,,,.,,,,,,,,,,,::::::::::::::++++%%%################################@@@@@@@######################%##########################################\n%%%%%%%%%%%%%%%%%###%%%%%%%#%#####%%%%%%%###################%%%######@@##########%%#%%%%%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::+++%%%##################################@@@@@@#######################%##########################################\n%%%%%%%%%%%#%%%%%###%%%%%%%%%#####%%%%%%%%##################%%%######@@####@#####%%#%%%%%%%%%%%%%%++::,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++%%%####################################@@@@@########################%##########################################\n#%%%%%%#%%%%%%%%%###%%%%%%%%%%%%##%%%%%%%%##################%%%%######@####@#####%%%%%%%%%%%%%%%%%%%%++:::::,,,,,,,,,,,,,,,,,,:::::::::++%%%#####################################@@@@@@#############################################%#####################\n%%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%#%%%%%%%%#################%%%%%######@@###@######%%%%%%%%%%%%%%%%%%%%%%+++++:::,,,,,,,,,,,,,,:::::::++%%########################################@@@@@############################################%%######################\n%#%%%%%%%%%%%%%%%###%%%%%%%%%%%#%%%%%%%%%%%#################%%%%%#####@@##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++::,,,,,,,,,,::::+++%%%##########################################@@@@#####################################################################\n%#%%%%%%%%%%%%%%%####%%%%%%%%%%#%%%%%%%%%%%################%%%%%%#%###@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++:::::++++%%%#############################################@@@@#####################################################################\n##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%%####@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################################################@############%#############%###########################################\n##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%#############################################################################################################################\n###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################@#################%##########################################################\n###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################@@@###########################################################################\n####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@@#%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################################%%#########################################################\n###%%%%%#%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%####@@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################################################@##################%%#########################################################\n###%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%######@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%#######################################################################%##########################################################\n#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%####@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################################################################################################################################\n#####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%#####@@@#%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################################%%##########################################################\n#####%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%#####@@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%##################################################################%#############%############################################\n#######%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%######@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##################################%%###############################%%#############%############################################\n#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%#%%%#####%#%##%#%%%#####################%%%%################################%##############%###########################################\n######%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@##%%%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%######################%#%%################################################%############################################\n######%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%################################%%%#############################%##%################%############################################\n#######%#%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%#%%%%##%######################%%%%###############################%%################%############################################\n########%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%######@@@@##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#%#########################%%%%#####################%#%#####%#%################%#%###########################################\n########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%#%%#%%######################%%##########%############################################################\n#########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%######################%#####%%%#######################%%%###########################%%###########################################\n#######%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%%%############%%%%%%%#%%%%%%%%%%%%%%%%%%%%#######################%###%#%##%%%%##%#####################%%%##########################%%%###########################################\n#######%%##%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%############%%%%#%%%%%%%%%%%%%%%%%%%%#%%%#####################%#%#%%%%#%%%%%#########################%%##########################%%############################################\n########%%%#%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%###%%%%#%###%%%%%#######################%###%#%%%%%%#%%#%%%%%########################%%###########################%%############################################\n########%%%#%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%####%%#%######################%####%%#%#%%%%%%%%%%%%%%%%%%%########################%%%############################%############################################\n##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%#####%#######%#########%%#%%###%%%%%%%%%#%%%%%%%%%%%%%%%%########################%%%%%##########################%#############################################\n#########%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%############%%%%%%%%%%%%%%###########%%%#####################%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%########################%%%%############################%############################################\n#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%#############%%%%%%%%%%%%%%###########%%%%%#################%%%%%##%%%%%%#%%###%%%%%%%%%%%%%%%%########################%%%%%###########################%%############################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%%%%%###########%%%%%%%%%%%%%%%###########%%%%%###############%%%%%%%#%%%%%%%%#%#%%%%%%%%%%%%%%%%%#########################%%%%###########################%%############################################\n###########%%%%%%%%%%%%%%%%%#%%%%%%%%%%%+%%%%+++++%%%%%############%%%%%%%%%%%%%%%############%%%%%%############%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################\n#############%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%++++++%%+%%%%###########%%%%%%%%%%%%%%#############%%%%%%############%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################\n############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%+++++%%+%%%%############%%%%%%%%%%%%%%%############%%%%%%#############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%#%%%#############################%####%########################################\n#########%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%#############%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%############################%%%##%%%#######################################\n############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%##############################%##%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%%%%%%############################%%%%%%%%%#######################################\n##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%%#%##########%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%%#############################%%%%%%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%#############%%%%%%%%%%%%%%%%###########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########%#########%%##############################%%%%%%%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%##############%%%%%%%%%%%%%%%%%%%#########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%##############################%%%%%%%%%########################################\n##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%%%%%#############%%%%%%%%%%%%%%%%%%%#%#######%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##########%%###%%%%##############################%%%%%%%%#########################################\n##########%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%##############%%%%%%%%%%%%%%%%%%%%########%%%%%%%#############%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%#########%#%%%#%###############################%%%%%%%%%#########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%#############%%%%%%%%%%%%%%%%%%%%#%######%%%%%%############%#%%%%%%%%%%%%%%%%%%%%##%%%#%%%%####%%###%%%###%##############################%%%%%%%%%%#########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%%%%%%%%%#%#%%###########%%##%###############################%###%%%%%%%%%%%########################################\n###########%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%%%###############%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%#%%%%###%##################################################%%###%%%%%%%%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++%%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%%%%%#%#######################################################%####%%%##%%%%%########################################\n#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%++++%%+%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%%#%%%####%###########################################################%%%%%#%%%%#########################################\n#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++++%+%%%%%################%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%#%%#%#%####%####%#########################%#############%%#########%%%##%%##%%%%########################################\n##########%###%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%#################%###%####%#%%###########################%#%############%%###########%#%#####%%%%########################################\n###########%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%#%%#####################%#%%%%%%%%%%%%%%%%%%%%%%%%################%#####%####%%%%####%##############%##%%%%%%#########################%%%#####%#%%########################################\n##########%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%+%%+%%%%%%%#################%#####%%%%%%%%%%%%%%%%%%%%%%%%########################%#%%######%######%%#%##%%%%%%%%%%##########################%%######%%%%########################################\n##########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%+%%%%%%%%#######################%%%%%%%%%%%%%%%%%%%%%%%%%%#############%#######%###%%%%%##%##%%%###%%%%%%%%%%%%#########################%%%%%#####%%%%%#######################################\n#########%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%%%%%################%%%%##%##%%##%%#%%%%%%%%%%%%%%%%%###########%%%%##########%%#%#%%%%%%#%%%%%%##%%%%%%%#########################%%%%%#######%%%%%######################################\n#########%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%%%%%##################%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%#########%%%#%###%####%#%#%%#%%%%%#%%%%%%%%%%%%%%#%#####################%%##%%%%########%%%%#######################################\n#########%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%###############%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%#########%%#%%%###%#%########%%#%%%%%%%%%%%%%%%%%%%####################%%%##%%%%%########%%########################################\n#########%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%%%##############%%%%%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%#######%#######%#%%%%%%%%%%%%##%%%%##################%%%%%#%%%%%##################################################\n########%#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%%%%############%%%%%%%%%%%%%##%#%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%%%#############%%%%%%%%%%%%%%#%%%##########%%#######%%%%%%%%%%###################################################\n#########%%%%%#######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%+%%%%%%%+%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%##%####%%%%%%%%%%%%%%%%%##%##########%########%%%%%%%%%%%###################################################\n########%%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%++%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%#############%%%%######%%%%%%%%%%####################################################\n########%%%%%#%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++%+%%%+++%++%%##################%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%##%%%%%%%%%%#%%%%%%%#####%########%%%%######%%%%%%%%%%####################################################\n#########%%%%####%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%++%++%%%%+++++%%###################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#%%%%##############%%%%%######%%%%%%%%%%####################################################\n#########%%%%########%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%+%+++%+%%%%%%+++++%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%#%#################%%%%%#####%%%%%%%%%#####################################################\n#######%#%%%%##%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%++++%%%%%###############%%%%%%%%%%#%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%##################%%%#%%####%%%%%%%%%######################################################\n#######%#%%#%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%++++%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%#%%%%#####%%%%%%%%######################################################\n#######%%%%%###%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%+++%%%%%%%##############%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%#########%%%%######################################################\n#######%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%###########%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################%%%%%########%%%%%#######################################################\n#######%%%%%%%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%#%%##########%%%%%%%##%%%%%%%%%%%%%%%%%%#%%%%%#%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%###############%#####%#%##########%%%%%#######################################################\n########%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%#########%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%#################################%%%%#########################################################\n######%%%%%#%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#########%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%#############%%%##########################################################\n######%%%%%###%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%##%############%#%%###########################################################\n####%#%%%%%###%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%####%%#%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%###############%%%%##########################################################\n######%%#%%#%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%############%%%##############%%%%%##########################################################\n#########%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##########################%%%%%###########################################################\n######%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%###########################################################\n#####%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#########################%#%%%%#############################################################\n##%%%%%%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%########################%%%%%%%%#############################################################\n##%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%###############################################################\n##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%###############################################################\n###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%%%##############################################################\n#%%#%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%%###############################################################\n#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%%%################################################################\n##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%###%###############################################################\n\n[https://asciiartattack.de/bildgeneratoren/einsteiger/](https://asciiartattack.de/bildgeneratoren/einsteiger/ \"Zurück\")\n",
  "fullPageMarkdown": "ASCII Art Attack  # ASCII Art Attack\n\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n..........................................................................................................................................................................................................................................................\n................................................................................................................................................................................................,.....................................,...................\n...............................................................................................................................................................................................,,....................,................,.,.................\n......................................................................................................................................................................................,,..,,...,....,....,.,..,..,...,...........,..,,....................\n.........................................................................................................................................................................,.......,,.,,,,,.,,,,,,..,,,,,,,,,,,.,.,.,.,,,...,,..,..,,..,....,.,.............\n.......................................................................................................................................................................,.,.,..,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,.,,,,,,,,.,,,,,,,,,.,,..........\n.................................................................................................................,,..............................................,,..,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,.,..,,...,.,...,....\n.........................................................................................................,,....,,,,,..........................................,.,,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........\n......................................................................................................,,,,,,:::,,,.,,.......................................,.,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,,,,,,,,,,,,,,,,...,,..,..\n....................................................................................................,,::::::::++::,,,...................................,.,..,.,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,.,,,...\n...............................................................................................,,,,::+++++++:::+++:,,::,,,,.............................,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,,,..\n.............................................................................................,,,::++%%%%%%%%++++%%++:+++++:,,,,,......,,...............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..,,.\n...........................................................................................,,,::+%%%%%%%%%%%%%%%%%%%%%%%%%++:,,,,...,,,,.....,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.,\n..........................................................................................,,:+%%%%%%%%%%%%%%%%###%%%%%%%%%%%%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.....................................................................................,,,,,:+%#####%%%%%%##%%%%######%%%%%%%%%%%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::,::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n....................................................................................,,,,,:+%%########%%%#####%########%%%%%%%#%%%%%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.................................................................................,,,,,::+%%%%####################@#######%%%#####%%#%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...............................................................................,,,:++++%%%#######%############@##@@@@@###############%%%++:::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n............................................................................,,,:++%%%%%%#####################@@@@#@@@@@@@@@####@@@#####%%++::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n..........................................................................,,,:++%%%%%######@@##########@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#####%%+++::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.........................................................................,,::+%%%%%%#%######@@##########@@@@#@@@@@@@@@@@@@@@@@@@@@@@@@####%%%%+++:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.......................................................,,...............,,:++%%%%%%#########@@@#######@#@@@@@@#@@@@@@@@@@@@@@@@@@@@@@@#@######%%%++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:,,:::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...........................,..................,..,,,,,,,,,.,,....,,..,,,,:+++%%%%#%#####@@##@@@@@#########@@@#####@@#@@@@@#@@@@@@@@@@@@@@@######%+++::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n..........................,,,,,............,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%#%%#####@##@@@@@@@@@@@@#########################@@@@@@@@@@@@@@####%%%+:::::,,,,,,,,,,,,,,,:,,,,,,:,,,,:,,,,,,,:,,,:::,::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.........................,,,,,:,,,,.....,,.,,,,,,,,,,,,,,,,,,,,,,,,.,,,:+%%%%%######@@@@@#@@@@@@@@@####%%%%%%%%%%%%%%%%%%#%######@@@@@@@@@@@@@###%%%+::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::,,,,,:::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...............,,,,.....,,,,,::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%%%########@@@@@@#@@########%%%+++%%+++++++++%%%%%%%%%%%####@@@@@@@@@@###%%++::::::,,,,:,:::,:,,:,:,,,:,::,,,:,,,::::,,,:,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n...............,,,,,,,..,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%#%###@@@@@#@@@@@@@#####%%%%++++++++++++++++++++++++++++%%%###@@@@@@@@@##%%%++::::::,,,,,,:,:,:,,,::,::,::,::,::::::::::::,:::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,\n.............,,,,:::,,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%#%#####@@@@@@@@@@@##%%%%++++++:::::::::::+:++++++++++++++++%%%##@@@@@@####%%%+::::::::,,::,:::,:::::::::::::,::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,\n.............,,,:::::,..,,,,,::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:++%########@@@@@@@###%%%++++::::::::::::::::::::+++++++++:++++++%%%#@@@@@@####%%%+::::::::,:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:+%%###@@@#@@@@@@##%%+++:::::::::::::::::::::::::::::+::::::++++++%%##@@@@@@###%%++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,::::::,,,,,,,,::,,,,,,,,:::::,,,,,,,,,,,,,,,,,,,,,,,,,:+%%##@@@@@@@@###%%++::::::::::,:::::::::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:,:::::::,,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,:::,,,,,,,,::::::,,,,,,,,,,,,,,,,,,,,,,,::+%%####@@@@@@#%%+:::::::::::,,,,,,:::,,::::::::::::::::::::::::+++++%%##@@@@@##%%%++:::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,::::::,,,,,,,:::::,,,,,,:::::::,,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@@##%++:::::,::::,:,,,,,,:,,,,,:::::::::::::::::::::::::+++++%##@@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::::::::,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,:::::,,,,,,::::::::,,,,,,,,,,,,,,,,,,,,,:+%#####@@@@##%++:::::,,,:,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%%#@@@@@##%%++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,,::::::,,,,:::::::::,,,,,,,,,,,,,,,,,,,,,:%%#####@@###%+::::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::++++%##@@@@##%%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,\n............,,,,:::::,,,,,,,::::::,,,,,,::::::::,,,:,,,,,,,,,,,,,,,,:+%#####@@###%+:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++%##@@@@##%%+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,\n...........,,,,,:::::,,,,,,,::::::,,,,,::::::::::,:,,,,,,,,,,,,,,,,::%######@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::++:++%##@@@##%%%+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::::::,,,,,,,,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::,,,:,,,,,,,,,,,,:+%####@@###%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+:+++%#@@@@###%%+::::::::::::::::::::::::::::::::::::::::::::+::::::::+::::::::::++:::::,,,,,,,,,,,,,,,,,,,,,\n..........,,,,::::::,,,,,,,,::::::,,,,,,:::::::::::::::,,,:,,,,,,,,:+#########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::++++##@@@####%%:::::::::::::::::::::::::::::::::::::::::::::::::::::+:::::::::::+:::::,,,,,,,,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,,:::::::::::::::,::,:,,,,,,::%########%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::+++%##@@#####%+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:::::,,,,,,,,,,,,,,,,,,,,\n...........,,,,:::::,,,,,,,,::::::,,,,,:::::::::::::::::::,:,,,,,,:+%#######%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::+++%#@@######%+::::::::::::::::::::::::::::::::::::::::::+:::::::::::::,:,:,::++:::::,,,,,,,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,:::++:::::::::::::::::,:,,::+%######%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%##@@#####%+++:::::::::::::::::::::::::::+++::::::::::++::::::::::::,,,,,,:+++:::::,,,,:,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,:::+++:::::::::::::::::::,::+%%#####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,:::::::::::::::::::::::::::+++%########%++::::::::::::::::::::::::::::+++::::::::::++::::,:::::::,,,,,,::+++:::::,,,:,,,,,,,,,,,,,,\n..........,,,,,:::::,,,,,,,,::::::,,,,,:::++++:::::::::::::::::::::+%%####%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,:::::::::::::::::::::::::::::++%###@#####%++::::+:::::::::::::::::::::+++++:::::::::+++:::,:::++::,,,,,:::++::::::,,,,:,,,,,,,,,,,,,\n..........,,,,,::::,,,,,,,,,::+:::,,,,,::++++::::::::::::::::::::::+%%####%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::+++%########%++::::::::::::::::::+:::::::++++:::::::::::++:::,:::++:::,,,,,::++::::,,,,,,::,,,,,,,,,,,,\n..........,,,,,::::,,,,,,,,,::+:::,,,,,:::+++:::::::::::::::::::::+%%%%##%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::::::::::::::::::::::::::::++%########%%+::::::::+++:::+:::::::+::::++++::::::::::++::::,::+++::,,,,,::++:::,,,,,,,,,,,,,,,,,,,,,\n.........,,,,,:::::,,,,,,,,:::::::,,,,,:::::+:::::::::::::::::::::+%%%###%::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::,::::::::::::::::::::::::::::++%%########%+:++::::+++:::+++:+::++:++++++++::::::::::++:::::::+++::,,,,,::+++:::,,,,,,,::::,,,,,,,,,\n.........,,,,,:::::,,,,,,,,:::+:::,,,,,:::+++:::::::::::::::::::::%%%%#%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::::++%#########%++++++++++++++++++:+++::+++++++::::::::::+++::::::+++:::::,:::+++::::,,::::::,:,,,,,,,,,\n........,,,,,,:::::,,,,,,,,::+++:,,,,,,,::+++::::::::::::::::::::+%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%#########%++++:++++++++++++++++++++++++++::::::::::+++::::::+%++::::::::+++:::,,,,:,,::::,,,,,,,,,\n........,,,,,::::::,,,,,,,:::++::,,,,,,:::+++::::::::::::::::::::+%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::+++::::::+%%+::::::::+++:::,,,,:::,,:::,,:,,,,,\n.......,,,,,,::::::,,,,,,,:::+++:,,,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::++%%#########%+++++++++++++++++++++++++++++++:::::::::++++:::::+%%+::::::::+++:::,,,,::,,:,::,:,,,,,,\n......,,,,,,,::::::,,,,,,,,::++::,.,,,,::++++::::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::::::::::++%%##########+++++++++++++++++++++++++++++++:::::::::+%++:::::+%%++::::::::++::::::,,,,:::::,,:,,,,,\n......,,,,,,,::::+:,,,,,,,,::++::,,,,,,::++++::::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::++%%##########%++++++++++++++++++++++++++++++:::::::::+%%+:::::++++:::::::::+++::::,,,,::::::,,::,,,,\n......,,.,,,,,:::+:,,,,,,,,::++::,,,,,:::++++::::::::::::::::::::+%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::::::::++%##########%+++++++++++++++++++++++++++++++::::::::+%++:::::::+::::::::::+++:::::::,::::::::,:,,,,\n........,,,,,,:::+:,,,,,,,,::++:,,,,,,:::++++:::::::::::::::::::++%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::+:::::::::::::::::::++%%#########%+++++++++++++++++++++++++++%++++:::::::+%+:::::::::::,:::::,::+:,,:,,,,,:,::::::::,:,,\n.........,,,,,:::::,,,.,,,,::++:,,,,,,:::+++++::::::::::::::::::+%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++++:::::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,::,,,,,,:::,,,:,,:,,,::::::::,:::,\n.........,,,,,::::,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::++++++++++++%%+++++::::::::++%%##########%+++++++++++++++++++++++++++++++:::::::+++:::::::::,,,,:,,,,:,,,,:,:,,,,,,,,::::::,:::\n...,.....,,,,,::+:,,,,,,,,,::++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,:::::++++%%%%%%%%%%%%%%%+++::::::++%%##########%++++++++++++++++++++++++++%+++++:::::::::::::::::::::::::::::,,::::,,,,,,,,::::::,,,,\n,...,.,..,,,,,::::,,,.,,,,::+++:,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,::::::::+++++%%%%%%%%%%%%%%%%++++::::+++%%#########%++++++++++++++++++++++++++%+++:::::::::::::::::::::::::::::,,,:::::,,,,,,,,,:::::::::\n....,,,.,,,,,,::::,,,,,,,,::++:,,,,,,,::+++++:::::::::::::::::::+%%%%%++:,,,,,,,,,,,,,,,::::::::::,,,,,,,,,,,,::::::::::+++++%%%%%%%%%%#%%%%%%%%%++:::+++%%#########%++++++++++++++++++++++++++%++++::::::::,::::::::::::::::::,,,:::::,,,,,,,,,,::::::::,\n.....,,,,,,,,:::+:,,,,,,,,::++:,.,,,,,::+++++::::::::::::::::::+%%%%%%+::,,,,,,,,,,,:::++++++++:::::,,,,,,,,,,:::::::::+++++%%%%%%%%%%%%%%%+%%%+++++:::+++%#####@@###++++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,,::::::,,,,,,,,,,,::::::::\n,...,,,..,,,,:::+,,,,,,,,,:+++:...,,,,::++%++::::::::::::::::::+%#%%%%+::,,,,,,,,::::++++++++++++::::::::,,,,,,:::::::+++++++++++++++:::,,,,,,,,,,,,,,::++%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::::,,:::::,,,,,,,,,,,,:::::::::\n,..,,:...,,,,,:::,,,,,,,,,:+++,..,,,,,::++%++::::::::::::::::::+%%%%%%+::,,,,,,::++++%%%+++%%++++::::::::,,,,,,::::+++++++++++::::,,,,,,:::::::::::::,,,:+%#####@@###%+++++++++++++++++++++++++%++++:::::::::::::::::::::::::,,:::::,:,,,,,,,,,,,:::::::::\n,.,,,,...,,:,:::::,,,,,,,,:+++,..,,,,,::++%+::::::::::::++::::++%%%%%%++:,,,,,:+++%%%%%%%+++++++++::::::::,,,,::::+++++++++::,,,::::::::::::::++++:::::,:+%#####@####%+++++++++++++++++++++++++%++++::::::::::::::::::::::::,,:::,,::,,,,,,,,,,,,,,:::::::\n,...,:,,,,::::++++,,,,,,,,:+++,..,,,,,::+%%+::::::::::::::::+:++%%%%%%++:,,,,:+++++++%%+++++++++++::::::::,,,,::::++++++::,,::::::::::::::::::+++++++::::+%%####@@####+++++++++++++++++++++++++%%+++::::::::::::::::::::::,,,,::::,,:,,,,,,,,::,,,,,::::::\n,..,,,,,,,,,::+%+:,,,,,,,:+++:,.,,,,,,:++%%+:::::::::::++:::+:++%%%%%%++:,,,::+%%++++:++++++++++++++:::::::,,,:::+++::,,,,:++::::::::::::::::::+++++++:++++%####@@####%++++++++++++++++++++++++%%+++:::::::::::::,::::::::,,::::,:,,,,,,,,,,,:,,,::,::::::\n,..,,,,,,,,,::++,,,,,,,,,::+%:,.,,,,,::++%%+:::::+::+::+:++::+++%%%%%%+::,,,::++++::,,::::,:::::::::::::::::::::::,,,,,:++++::::::::::::::::::::++++++:++%%%%#########%++++++++++++++++++++++++%%++++::::::::::,:,::::::::,:::,,::::,,,,,,,,,,,,,,,:::::::\n,..,,,,,,,,,,:::,,,,,,,,,,:++:,,,,,,,::++%%+:::::::+::+++:+:+++%%%%%%%+::,,,::+::,...........,,,,,,,,,,,,,.....,.,,.,,++++++:::++++::++++++::::::++++++++++%%%###@@###%++++++++++++++++++++++++%%+++::::::::::,,,,,:::::::::::::,,,,::,:,,,,,,,,,,,,,:::::\n,,,,,,,,,,,,,,::,,,,,,,,,,::+:,,,,,,,::++%%+:::::::::++++:+++++%%%%%%%+::,,,,.......,,,,::::::::::::::,,...  ..,,,,,,:+++++++++++++::++:++++++:::++++++++++%%%%##@#####%++++++++++++++++++++++%%%+++:::::::::::::::::::,,::::::::::,,:,,,,,,,,,,,,,,::::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,::++%%+:::::::::++++++++++%#%%%%%+:,......,:,,,:,,,,::::::+::+:++::,.....::+::,,:+++++++++++++%%%%%+++++++:::+++++++++%##%#@@#####%++++++++++++++++++++++%%%%++:::::::::::::::::::,:,,::::::,,,,,,,,,,,,,,,,,,,,,::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::+::::++++++++++++%%%%%%:.....,::::,,,,,,,,:::++++++++++::,.,,:::++++:,,+%%%%%%%++%%%######%%+++++::::+++++++%######@@###%+++++++++++++++++++++++%%%++:::::::::::::::,,,:,,,,,:::,,,,,,,,,,:,,,,,,,,,,,,::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%::::::::+++++++++++++%%%%%+...,::::::,,,,,,,,:::+++++%%+++++:,,:::::::+++,,+%%%%%%%%%+%%%#####%%%%%+++::::++++++%##@##@@@@##%+++++++++++++++++++++++%%%++::::::::::::::::::::,,,,::,,,,,,,,,:,:,,,,,,,,,,,:::::\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+%%%::::::::+++++++++++++%%%%%:.,::+++:::,,,,,,::::++%%%%%%%%%++:,,:::::::+++:,+%%%%%%##%+%%%###%%%%%%#%+++:::++++++%##@@###@@##%+++++++++++++++++++++++%%%++:::::::::::::,,:::::::,,:,,,,,,,,:,::,,,,,,,,,,,,,::::\n:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::+%%+::::::+++:++++++++++%##%#%:,::++++::,,,,::::++%#####%%%%%%%++,::+::::::+%+,:+%%%##%%%++%%%%%%++++%%%%++:::++:+++%##@@@####@##%++++++++++++++++++++++%%%+++:::::::::::,,:::,,:,,,:,,,,,,,,:,,,,,,,,,,,,,,,,,,:::\n::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+::::::+:+:++++++++++%##%%%+:+:++++::,,,::::+%%%%###%%%%#%%%+:,:++:,,:::+++::+%%%%%%%++++++++++++++++++++:::::+++%###@@@@#####%%+++++++++++++++++++%+%%%+++:::::::::::,:,,,,,,,,,,,,,:,,,::::,,,,,,,,,,,,,,,,,::\n:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+::::::::++++++++++++%##%%%+%++++++:,,,:+++%%%%%%####%%%%%%%+:,:+:,,,:::++%+++%%%%%%++++++++++:::++:++::::::::+++%####@@@@####%%++++++++++++++++++%++%%%%++++:::::::::::,,,,,,:,,,,,,,,,,:,:,,,,,,,,,,,,,,,,,,,:\n:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%+:::::::+:+++++++++++%###%%%%+++++:,,,:++%%+++++%%%%%++++++++:,+%:,,,::::++%++%%%%%%%%+++++++++++++++++::::::::++%%####@@@#####%+++++++++++++++++++++%%%%++++::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::\n:::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+:::::+++++++++++++++%##%%%%%+:+++:,,:+++++:::::+++++++++++++::++:,,,::::+++++++%%%%%%%+++++++++++++++:::::::::++%%####@@M@###%%+%%%+++++++++%+++++++%%%%+++::::::::::::::,,,,,,,,,,,,,,,,:,,,,,:,,,,,,,,,,,,:::\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%+::::::++++++++++++++%##%%%%%++++%:,,::::::::::::::++++++++++::::,,,::::::+++++++++%%%%+++++++++++::::::::::::::++%#####@M@@##%%++%%+++++%%++%++%+++++%%%+++:::::::::::::::,,,,,,,,,,,,,,,,,,,,:,:,,,,,,,,,,,,,:\n:::,,,,,,,,,,,,,,,,,,,,..,,,,,,,,,:::+++%%+::::::+:+++++++++++%%%%##%#%%++%+:,,:::::,,,::::::++++++++:::::,,,,::::::++++++++++++++++++++++++:+::::::::::::++%#####@@@@###%%+++%++++%%+++++%++++%%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,,,,,,,,:,,,,,,,,,,,,,:\n::::,,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::++%%%+::::::+++++++++++++%%%%#####%++%%:,,,,,,,::::::+++++++++:::::::,,,,:::::::+++++++++++++++++++++++::::::::::+:::++%%#####@@@@##%%+++%%%+%%+%%%+++%%%%+%%%+++:+:::::::,:,,,,,:::,,,,,,,,,,,,,,,,,,,,,,,,,,,::::,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%+:::::++++++++++++++%%%%#####%++%+:,,,,,,,,:::++++++++::::::::::,,,,::::::::++++++++++++++++++++:::::::::::::+:::+%%######@@@@##%%+++++%++%++++%++%+++%%%+++++:::::::::,,,::,:::,,,,,,,,,,,,,::,,,,,,,,,,,,:,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::++++++++++++++%%%######%++++:,,,,,,,::::+++++::::::::::::,,,,,,::::::+++++++++++++++++:::::::::::::::::++::++%%######@@@#%%%%%+%%++%++++++%++%%++%%%++++::::::::::,,:,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%::::::+:++++++++++++%%#######%+:++,,,,,,,,,,,:::::::::::::::,:,,,,,,,,::::::+++++++++++++:+:+::::::::::::::::::::++%########@##%%%%++++%+++++++++%+%%++%%%+++:::::::::::,,,,:,,,,,:,,,,,,,,::::,,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%%::::::::++++++++++++%%##@#%%#%::::,..,,,,,,,,,:::::::::::::,,,,,,,,,,,:::::::++:::+++++:+++++:::::::::::::::::::::+%%##########%%++%+++++%%+%%+++++%++%%%%+++:::::::::::::,:,,,,,,,,:,,,,,:::::,,,,,,,,,,,,,,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::++%%+:::::::+++++++++++++%%####%%#%:,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,:::::::::::++++::::+::+:::::::::::::::::::::++%########%#%%%++%+%+%++%++%++++%+%%%%%+++::::,,::::::::,,,:,:,:,:,,,,,,,,,::,:,,,,,,,,,,,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::++%%+:::::::+++++++++++++%%##@#%%%%:,,,,,,,,,,,,,,,,::::::::,,,,,,,,,,,,,,,::::::::::+++++++:::::::::::::::::::::::::::++%######%%%%%%%+++%%%+%%%++++%%%%%%%%%%++:::::::,::::,:::,::::::::,:::,,,,,::,:,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,.,,,,,,,,,,,,:::::++%%+:::::::+:+++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,:::::::::++++++++++:::::::::::::::::::::::+::+%%#####%%%%%%%%%++%%%+%%%%+%%%%%%%%%%%++::::::::::::,:::::::::::,,:::,,,,,,:,:,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,::::::::++%%:::::::+:++++++++++++%%#@@#%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+++++++++::::::::::::::::::::::::+%%#%%##%%%%%%%%%%%%%%%%+%%+%%%%%%%%%%%++::::::::,::,,:,::::::,:,,,,,,,,,,,,,::,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,.,,,,,,,:::::::+:+%%+::::::::+++++++++++++%%%##%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:+++++++++++::::::::::::::::::::::++%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%++::::::::::::::,,::::::,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,::::::++++%+::::::+:++++++++++++++%%%%%++++,,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,::::::::::++:+++++++++:::::::::::::::::::::::+%%%%%%%+%%%%%%%%%%%%+%%%%%+%%%%%%%%%++::::::::::::::,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,,:::::++++%:::::::+++++++++++++++++++%%++++,,,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,,,::::::::::::::++++++++::::::::::::::::::::::+%%%%%%++%%%%%%%%%+%%+%%%+%%%%%%%++++++::::::::::::::::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::+:++++%:::::::+++++++++++++++++++++%++:,,,,,,,,,,,,,,,,,,,,,:::,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++:::::::::::::::::::::+%##%%%+++++%%%++++++++++++%+%+++++++::::::::::::,:,::,:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,:::++++%+:::+::::+++++++++++++++%+:++%%+:,,,,,,,,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,,,::::::+::+:::::++++++++++::::::::::::::::::::+%%%%%%%%+++++++++++++++++++++++::::::::::::::::::,:::,,,,,,,,,,,,,,,,,,,,,:,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,,::+++%%%:::::::::++++++++++++++++++%%%+:,,,,,,,,,,,,,,,,,,,,:::::,,,,,,,,,,,,,,,,::::+++++++++++++++++++++::::::::::::::::::::+%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,,,,,::::++%%%::::+::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,,::::::,,,,,,,,,,,,,,:::::+++++%##%%%++++++++++++:::::::::::::::::::+%%%%%%%%+++++::::::::::::::::::::::::::::::::,:::,,,,,,:::,,,,,,,,,,,,,::::,,,,,,,,,,,,,,,:\n:::::::,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,,::::::::,,:++++:::,,:::::+++%%###%%%%%+++++++++++++:::::::::::::::::+%%%%%%%%+++++:::::::::::::::::::::::::::::::,,,,:,,,,,,:::,,,,,,,,,,,,,,::::,,,,,:,,,,,::::\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::::++++++++++++++++++++%%++:,,,,,,,,,,,,,,,,,:::+:::::::+++++++:::::::+++%%%%%%%%%%++++++++++++++:::::::::::::::::+%%%+%%%%+++++::::::::::::::::::::::::::::,,:,,,,,,,,,,,,:,,,,,,,,,,:,,,,,,:::,,,,,,,:::::::\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%:::::+++++:+++++++++++++++++%++:,,,,,,,,.,,,,,,,:::++:::::,:::::::::::::++++++%%%%%%++++++++++++++++++:::::::::::::::++%%%++%%+++++++::::::::::::::::::::::::,:,,:,,,,,,,,,,:,,::,,,,,,:,,,,,,,,,,::,,::::::::::::\n::::::,,,,,,,,,,,,,,,,,,,,,,,,,::::+++%%::::::++++++++++++++++++++++%++:,,,,,,,,,,,,,,,,::+++::,::,,,:::::::::::+++++++%%%+++++++++++++++++++++:::::::::++:::++%%+++%%+++++++:::::::::::::::::::::::,::::::::::,,,,,,,,,::::,,,,,,,,,,,,:,:,:,,::::,::::,,\n::::::,,,,,,,,,,,,,,,,,,,,,,::::::::++%%::::++++++++::::::::::::::++%++:,,,,,,,,,,,,,,,:::++:::::,,,,,::::::::::++++++++%%+++%+++++++++++++++++++::::::+++:++++%%%++%+++++++++:::::::::::::::::::::::::::::::::,::,:,::,:,,:,,,,,,:::::::,::::::::::,,,,,,\n:::::,,,,,,,,,,,,,,,,,,,,,,::::::::::::+::::::::::::::::::::::::::+++++:,,,,,,,,,,,,,,,:::++::::,,,,,,::::::::::++++++++%+++++++++++++++++++++++++::::+++++++++%%%++++++++++++++++++++++:::::::::::::::::::::::::,::::,:,:::::,,,:,,,:::,::,,,:,:,:,,,,,,,\n::::,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::,::,,,,,,,,::::::::::+++++,,,,,,,,,,,,,,:::++:::::,,,,:::::::::::::::+++++++++++++++++++++++++++++++++:::++++++++%%%++%%%%%++++++++++++++++++:::::::::::::::::::::::::::::,::::::::::::::::::::,:,,:,,,,,,,,\n,,,:,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::,:,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::+++:::::,,,,:::::::::::::::++++++++++++++++++++++++++++++++++:+:+++++++%%+++%%%%%%%%%%+++++++++++++++++::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::,,,,,,,,,,,,,,,,:::::::::::++++:,,,,,,,,,,,,,::++:::::,::,,::::::::::::::::++++++++++++++++++++++++++++++++:+++++++++++%++%%%%%%%%%%%%%%%%%%%++++++++++::::::::::::::::::::::::,::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::,:,,,,,,,,,,,,,,,:::::::::::++++,,,,,,,,,,,,,:+++:::::::::::::::::::::::::::++++++++++++++++++++++++++++++++:++++++++++%++%%%#####%%%%%%#%%%%%%%%%%%+++++++:::::::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,:::,:,,,,,,,,,,,,,,,,::::::::::++++++:,,,,,,,,,,,::++:::::::::::::,,,,,,:::::::::::+++++++++++++++++++++++++++++++++++++++++%+++%%%%##%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,,,,,,,,,,,,:::::::::+++++:++++:,,,,,,,,,,,:++++:::::::,,,,::,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++:::::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,,:::,,,,::::::::::+++++++++++++:,,,:,,,,,,,:++:::::::::,,,,,,,,,,,,,,::::::::::::::::++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++++::::::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,,,:::::::::::::::++++++++++++++++++,,,:,,,,,,::++:::::::::,,,,,,,,,,,,,,,:::::::::+++++++++++++++++++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++:::::::::::::::::::::::::::,,,,,,,,,,,\n,,,,...,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,,,::::::::::::::++++++%++%%%%%++++++,,,::,,,,,:+++::::::::,,,,,,,,,,,,,,:::::::+++++++++++++++%%+++++++++++:+++++++++++++++++++++++%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++++:::::::::::+:::::::::,,,:,,,,,,:,\n,,,,...,,,,,,,,,,,,,,,,,,,,,,,,:,,,::,,,:::::::::::++++++%%%%%+++%%+:::::+:,,:::,,,,:++::::::::,,,,,,,,,,,,::::::::+++++++++++++%%%%%%%%%%+++++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%++++++++++++:+:+:::::::::::,,,:,,,,,,,:\n,,,,...,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::++++++++%%%%%%%+++++++::,,,,::,,,::,,,::++::::::::,,,,:::::::::::::++++++++++++++++++++%##@##%++++++::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%++++++++++++:::::::::::,::,,::,,,,:\n,,,.,.,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++++++%%%%%%+++++++++++:,,,,,::,,,::,,,,:++:::::::::::::::::::,,:::::++++++++:::++:::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%+%+%%++++%+%%%%%+++++++++::::::::::::,::::::::,,\n,,,,..,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++++%%%%%%++++++++++++++::,,,,,::,,,,::,,,:++::+++::::+++::::,,,,,,,,,,::::,,:::,,:::::++++%#@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%%%%%%+%+%%%%++%++++++++++%%%%%%%%++++++::::::::::::::::::,:,\n,,,,.,.,,,,,,,,,,,,,,,,,,,,::::::::::::::++++%%%%+++++++++++++++++::,,,,,,:,,,,::,,,:++::+++::+%#%::,,,,,,..,,,.,,:,,,,,:,,,:::::::+%##@@@#%++++:::++++++++++++++++++++++%%%%%%%%%%%%%+%%%%%%%+%%%+%+++%%%+%%++++++++++++++++%%%+++++++:::::::::::::::::::\n,,......,,,,,,,,,,,,,,,,,,:::::::::::::++++%%%%+++++++++++++++++++::,,,,,,:,,,,:::,,::+::+++++%@#+:,,,,.,,..,,..,,:,,,,,,,,,:::::::++##@@@#++++:::++++++++++++++++%++++++%%%%%%%%%%%%%%%%+%%%%%%%%%%+++%%+%%+++%++++++++++++++++%%%%+++++:::::::::::::::::\n,,.,,..,.,,,,,,,,,,::,,:,::::::::::++++++%%%++++++++++++++++++++++::,,,,,,,,,,,:::,,,::::++++%#@#+:,,,,.,,..,,..,,,,,,,,:,,:::::::::+%#@@#%+++++::+++++++++++++++%%+++++%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%+%%%%++++++++++++++++++++++%%%%++++:+::::::::::::::\n,,,,,..,,,,,,,,,,,:::::::::::++::++++++%%%+++++++++++++++++++++++++::,,,,,:,,,,,:::,,:::::+++%#@@%+,..,..,...,,,,,,,,,,,:++%%::++::++%#@#%++++++::+++++++++++++%++%%%++%%%%%%%%%%%%%%%%%+%+%+++%++%%%+++++++++%++++++++++++++++++++%%%%%%++++:::::::::::::\n,,,,,...,,,,,,,,,,::::::::::++++++++%%%%+++++++++++++++++++++++++++:,,,,,,::,,,,:+:,,,::::+++%##@#%:..,,,,,.,,,,,,::,,,:+%###%%%++++%####+++++++::++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%+%%%%+++++++%+++%++++++++++++++++++++++%%%%%%++++:::::::::::\n,,,,,,,,.,,,,,,,,::::::::::+++++++%%%%++++++++++++++++++++++++++++++:,,,,:::,,,,,:::,,::::+++:%#@#%:,.,,,,:::+::::+%++:++++%%%%++++%#@@#%+++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%++%%+++++++++++++++++++++++++++++++++++%%%%%+++++:::::::::\n,,,,,,,,,,,,,,,,::::::::::+++++%%%%+++++++++++++++++++++++++++++++++::,,,:+::,,,,:::,,,:::++::+####+,,,:::++++:::++++:::::+++++++++%@@#%++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%++%++%%%%+++%++++++%+++++++++++++++++++++++++++++++%%%+++++++:::::\n,,,,,,,,,,,,,,,::::::::++++++%%%%++++++++:+++++++++++++++++++++++++++:::::++:,,,,::::,,,:::+:::+###%::,::::::::::::+::::::::::::::++##%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%+%+%+%+++++++%+++++++++++++++++++++++++++++++++++++++%%%++++++++::\n,,,,,,,,,,,,,,,:::::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++:,,,,::::,,,:::++:,::%##+:::::::::::::++::::::::::::::+%%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%++++%%++++%+++%++++++++++++++++++++++++++++++++++++++++%%++++++++:\n,,,,,,,,,,,,,,:::::::+++++%%%+++++++++++++++++++++++++++++++++++++++++++++++:,,,,,:::,,,,::++::,,:%#%::::::::::+:::::::::::::::::++%%+++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++%%+++++++\n,,,,,,,,,,,,,:::::+++++%%%%+++++++++++++++++++++++++++++++++++++++++++++++++::,,,,,:::,,,::++:,,,,:+%:,,,::::::+::::::::::::::::++%%+++++++++++++++++++++++++++%+%%%%%%%%%%%%%%%%%%+%+++%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++++++\n,,,,,,,,,,,::::::+++++%%%++++++++++++++++++++++++++++++++++++++++++++++++++++:,,,,,,::,,,:::+:,,,,::++:,,,,:::::::::::::::::::+++%%++++++++++++++++++++++++++++%%%%%%%%%%%%%%%%%%+%%%%+++++%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++%+++++\n,,,,,,,,,,,:::::+++++%%%+++:::++++++++++++++++++++++++++++++++++++++++++++++:::,,,,,:::,,,::+::,,,,,:+::,,,:::::::::::::::::+++%%%++++++++++++++++%++++++++++++%%%%%%%%%%%%%%%%%%%%%+%%%+%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%++\n,,,,,,,,::::::+++++%%%++:+++::::++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,::,,,:::::,,,,,,::::,,,:::::::::::::::+++%%%+++++++++++++++++%%+++++++++%+%%%%%%%%%%%%%%%%%%%%%%%%++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++%%%\n,,,,,,,,:::::++++%%++++::+++:+++++++++++++++++++++++++++++++++++++++++++++:::::,,,,,,:::,,::++::,,,,,,:::::,,:::::::::::::+++%%%%++++++++++++++++%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::,,,,::::::+++++++++:::+::+:+++++++++++:+++++++++++++++++++++++:::::::::+::::::,,,,,,:::,:::+::,,,,,,,:::::,,,,:::::::::++%%%%++++++++++++++++++%%%+++++++++%%%+%%+%%%%%+%%%+++%%%%%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::,::::::+++%%++++++:++:::+:++++:++++++++++++++++++++++++++++++++::::::::::::::,,,,,,:::,,::++::,,,,,,,::::::::::::::++++%%%++++++++++++++++++++%%%+++++++++%%%%++%+%%%%%%%%++%%%++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::+++%++++++:++:+::++:++++++++++++++++++++++++++++++++:++:+::::::+:::::::::,,,,,::::::::+::,,,,,,,,,,,,::::+++++++++++++++++++++++++++++++%%++++++++++%%%%%%%+%%%%%%%%%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:+\n::::::+++%%++++:::::+::+++:::+:+:+++++++++++++++++++:+++++::+:+:::::::::::::::::::,,,,:::::,:::::,,,,,,,,,,,,,:::+++++++++++++++++++++++++++++++++++++++++++%%%+++++%%%+++%%%%+%++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::+++%%%+++++::::::::::::+:::+++++++++++++++++++++:::::+::::::::::::::::::::::::,,,,,,:::,::::::,,,,,,,,,,,,,::::++++++++++++++:+++:+++++++++++%+++++++++%%%%+%%++%+%%%+++%%+++%++%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:++++%%%%+:::+:::::::+::::::+++::+++++++++++++++:++++:::::::::::::::::::::::::::::,,,,,,::::::::::,,,,,,,,,,,,,:::::+++++++++++:::::+++++++++++++%++++++++++%%++++%%+++%%+%+%+++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++:++\n++++%%%%++++:+++::::::::::::+++:+++++++++++++::++:+::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,,,,,,,,,,:::::++++++:::::::::++++++++++++++%+++++++++%%%%%%%+%++++++%+++++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+++%%%+++++::::::::::::+:::+++::+++++:+++++++::::::::::::::::::::::::::::::::::::::,,,,,,:::::::::::,,,,,,,,,,,::::+++:+::::::::::+:++++++++++++%%+++++++++%%%++%+++++%%+%+++++%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+%%%%++:++::::::::::::::+:+++++:++++:+++:++:+:::::::::::::::::::::::::::::::::::::::,,,,,::::::::::::,,,,,,,,,,::::::++:::::::::::++++++++++++++%++++++++++%%+++++++%++++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n%%%%+:::::::::::::::::::++::+++::+++++::+:++::::::::::::::::::::::::::::::::::::::::,,,,,,::::::::::::,,,,,,,,,:::::+:::::::::::+:::+++++++++++++++++++++++%%%%+++++%+%++++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n%%+++:::+::::::::::+:::+:+:+:::+:++++++:::::::::::::::::::::::::::::::::::::::::::::,,,,,,::::,,::::::,,,,,,,,,::::::::::+::::::++++++++++++++++++++++++++++++%++++%++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n%++:::::::::::+:::::::++++:::+++::+::++++::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,::::::,,,,,,,,:::::::::::::::++++++++++++++++++++++++++++%%+%%++%+++++%+%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n++:::::::::::+::::::+:+:+:+++++:+++++::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,:::,,,:::::::,,,,,,,,::::::::::::::++++++++++++++++++++++++++++%%++%+++++%+%+%+%+++++++%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n++:::::::::::::::+::::::::+:++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,::,,,:::::::,,,,,,,,:::::::::::++++:+:+++++++++++++++++++++++%%%%%%++++%+%+%%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n+:::::::::::::++:::::::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:,,:::,,:::::::::,,,,,:::::::::::+:+++++++++++++++++++++++++++++%%%+%%%+%%%%%%%%%+%++++%+%%+%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::::::::::::+::::::++::+::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,::::,,,:::::::::,::::::::::::++:+++++:+++++++++++++++++++++++%%%++%%%%+%%%+%%%+%+%+++++%+++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::+:::::::::::++:+::+++::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%%+++%%%%%%%%%%%+%+%+%%+%+%+%+++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::::::+:::::::::::::+::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:::,,,,:::,,,,:::::::::::::::::::::::::::+++++++:++++++++++++++++%%%%%+%%+%%%%%%%%%%%%%%%%%%%+%+%%%+%+++%+%+%+++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::::::::+:+:::::::::+:+::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,::::,,,,,::::::::::::::::::::::::::++++++:++++++++++++%+++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%++++++++++++++%++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::::::::+::+::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,::::::,,:::,,,,,,,::::::::::::::::::::::::++:+++++++++++++++++++%%%%%++%%%%%%%%%%%%%%%%%%+%%%%++%+++%%++++++%+++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::+:::::::::::+::::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,:::,,,,,,,::::,::::::::::::::::::++::++++:++++++++++++%%%%%%++%%%%%%%%%%%%%%%%%%+%%%%%%+%%+%%%%%++++%++++++++++++++++++++++++++++++++++++++++++++++++++++++\n::::::::+::::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,:::::,,,::,,,,,,,,,::::::::::::::::::::::++++++++++++%++++%%%+%%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++%+%%++++++++++++++++++++++++++++++++++++++++++++++++++++++++\n:::::::::::+:::+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::,,::,,,,,,,,,,::::::::::::::::::::+++++++++++++++++%%%%%+%%+++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%+%%+%++++%%++++++++++++++++++++++++++++++++++++++++++++++++\n::+::::::+:+::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,:::::,,::,,,,:,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%++%%+++++++++++++++++++++++++++++++++++++++++++++++\n:::::::++:::::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,::::::::,:::,,,,,,,,,::::::::::::::::::+++++++++++++++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%+%+++%++%%+++%%%%%%%%%+++++++++++%++++++++++++++++++\n:::::::::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,::::::::,::,,,,,,:::::::::::::::::::++++++++++++%%++++%%%%%%%%+++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%+%%%%%%%%%#########%%++++++%++%++++++++++++++++++\n:++::+::+:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,:::::::::::,,,::::::::::::::::+++++++++++++%%%%%%+%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%++%+%%%%%%+%+%+%++%+++++++\n+:+:::++:::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::,,::::,:::::::::++::::++++++++++%%%%%%%%%%%%%%%%%%++%++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%%%%%%#%%%%%#%%%%%%%%%\n:::++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,::::::::,:::::::::::::++::++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################\n::+:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,::::::::::::::::++:++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################\n+::+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,:::::::::::++++++++++++++++++%%%%%%%%%%%%%%%%%%%%%++++++++++++++%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%############################################################\n+:++:+:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,,,,,,,,::::::::::::+++++++++++++++++%%%%%%%%%%%%%%%%%%%+++++++++++++++++%%%%%%%%#####%%%%%%%%%#%%%%%##############################################################\n+:+++::::+::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+::+:::,,,,,,,,,::::::::::::::+++++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%########@@#####@#########################################################################\n++++++++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::++:++++:,,,,,,,,,::::::::::::::::+++++++++++++%%%%%%%%%%%%%%%%+++++++++++++++++++%#@@@@@@@@@@##@@@@@@@@@###################################################################\n+++:+++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+++++++++::,,,,,,,,,:::::::::::++++++++++++++++%%++%%%%%%%%++++++++++++++++++++++++%#@@###@@@@@##@@@@@@@@@###################################################################\n++++::+++:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++::,,,,,,,,,,,::::::::::+++++++++++++++++++%%++++++++++++++++++++++++++++++%##@###@@@@@#@@@@@@@@@@@##################################################################\n+++++:++::::::::::::::::::::::::::::::::::::::::::::::::::::::::::+:++++++++++++++++++::,,,,,,,,,,,,,:::::::::++++++++++++++++++++++++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################\n+++++:+:+::+::::::::::::::::::::::::::::::::::::::::::::::::::+:+++++++++++++++++++++++:,,,,,,,,,,,,,,,::::::::::++++++++:+::+:::::+++++++++++++++++++++++++++++%%##@########@@@@@@@@@@###################################################################\n+++++++:+:::::::::::::::::::::::::::::::::::::::::::+::::++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::+++++++++++++++++++++++++++%%############@@@@@@@@@###################################################################\n+++++++++::::::::::::::::::::::::::::::::::::::++:+++++++++++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,:,,,,,,,,:,::,:::::::::::::::+++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################\n+++++++:++++::++:::::::::::::::::+::+:::::+++++++++%%%%%%%%++++++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::++++++++++++++++++++++++++++%############@@@@@@@@@@##################################################################\n+++++++++++++++++:+++:::::+::::::++:+++++++++++%%%%%#########%%++++++++++++++++++++++++:,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::++++++++++++:++++++++++++%%############@@@@@@@@@@@#################################################################\n+++++++++++++++++++::++++++++++++++++++++++++%%%%##############%++++++++++++++++%++%+++::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++++++++++++++++++++++%############@@@@@@@@@@@#########################################%#######################\n++++++++++++++++++++:++++%%%%%++++++++++++%%%%%%%%#######%%#####%+++++++++++%+++%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:,::::::::::::::::++++++++++:+++++++++++++%%############@@@@@@@@@@#################################################################\n++++++++++++++++++++++%%##%####%%%#%%%%%%#%####%%%#######%%%####%++++%+%%%%%%%%%%%%%%##+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::,::::::::::::::+++::::+++++++++++++++%%#############@@@@@@@@@@@################################################################\n+++++++++++++++++++%%%##########################%%%#######%%%####%%%%%%%%###%###%%%####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:+::::+:+++++++++++++%%#############@@@@@@@@@@@################################################################\n+++++++++++++++++%%%#############################%%#######%%%%####%%%%%%###############+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+::+::+:::++++++++++++%%#############@@@@@@@@@@@################################################################\n+++++++++++%%%%%%%%########################################%%%#####%%%############@####+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++++++++++%%##############@@@@@@@@@@@@###############################################################\n++++++%%%%%%%%%#%%%##############################%%########%%%###########@############%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::+++++++++++%################@@@@@@@@@@@###############################################################\n+%%%%%%%%%%##%%##%##########################################%%%###@#####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::+++++++++++++%%################@@@@@@@@@@@###############################################################\n%#%%%%%%%%%%%%%%############################################%%####@@####@@@###########%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::::++++++++++++%%#################@@@@@@@@@@@###############################################################\n%#%%%%%%%%%%%###################%#%%########################%%%###@@####@@@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::+:::::::++++++++++++%%##################@@@@@@@@@@################################################################\n%%%%%%%%%%%%##%%%###############%%%%#########################%%###@@@###@@@###%######%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++++:::::++++::+++++%####################@@@@@@@@#################################################################\n#%%%%%%%%%%%%%%%%###%############%%%%#######################%%%%###@@####@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::+:::::::::++:::+++++%#####################@@@@@@@@##@##############################################################\n%%%%%%%%%%%%%%%%####%%##########%%%%%%#######################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::::+::::++++%%######################@@@@@@@#@#####################%##########################################\n%%%%%%%%%%%%%%%%%##%%%%##########%%%%%%%#####################%%%###@@@###@@##########%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::::+++::::+++%%#######################@@@@@@@#@#####################%####################%#####################\n%%%%%%%%%%%%%%%%%##%%%%%########%%%%%%%######################%%%####@@####@##########%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::+++++:::::++%%########################@@@@@@@@@@###################%###########################################\n%%%%%%%%%%%%%%%%%##%%%%%%#######%%%%%%%%#####################%%%####@@@###@#########%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::++:+++::+++%%##########################@@@@@@@@#######################%########################################\n%%%%%%%%%%%%%%%%%###%%%%#########%%%%%%%####################%%%%####@@@###@######%###%%%%%:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::++:++++++%############################@@@@@@@@#########################################%######################\n%%%%%%%%%%%%%%%%####%%%%%#######%%%%%%%%#####################%%######@@###@######%##%%%%%%%+:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::+++++%%##############################@@@@@@#################################################################\n%%%%%%%%%%%%%%%%####%%%%%########%%%%%%%####################%%%%#####@@###@######%##%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::::+++++%%###############################@@@@@@@#################################################################\n%%%%%%%%%%%%%%%%####%%%%%%%#######%%%%%%%###################%%%######@@###@######%#%%%%%%%%%%%+::,,,,,,,,,,,,,,,,.,,,,,,,,,,,::::::::::::::++++%%%################################@@@@@@@######################%##########################################\n%%%%%%%%%%%%%%%%%###%%%%%%%#%#####%%%%%%%###################%%%######@@##########%%#%%%%%%%%%%%%+::,,,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::::+++%%%##################################@@@@@@#######################%##########################################\n%%%%%%%%%%%#%%%%%###%%%%%%%%%#####%%%%%%%%##################%%%######@@####@#####%%#%%%%%%%%%%%%%%++::,,,,,,,,,,,,,,,,,,,,,,,,:::::::::::++%%%####################################@@@@@########################%##########################################\n#%%%%%%#%%%%%%%%%###%%%%%%%%%%%%##%%%%%%%%##################%%%%######@####@#####%%%%%%%%%%%%%%%%%%%%++:::::,,,,,,,,,,,,,,,,,,:::::::::++%%%#####################################@@@@@@#############################################%#####################\n%%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%#%%%%%%%%#################%%%%%######@@###@######%%%%%%%%%%%%%%%%%%%%%%+++++:::,,,,,,,,,,,,,,:::::::++%%########################################@@@@@############################################%%######################\n%#%%%%%%%%%%%%%%%###%%%%%%%%%%%#%%%%%%%%%%%#################%%%%%#####@@##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++::,,,,,,,,,,::::+++%%%##########################################@@@@#####################################################################\n%#%%%%%%%%%%%%%%%####%%%%%%%%%%#%%%%%%%%%%%################%%%%%%#%###@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++:::::++++%%%#############################################@@@@#####################################################################\n##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%%####@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################################################@############%#############%###########################################\n##%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%################%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%#############################################################################################################################\n###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%#####@@###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################################################@#################%##########################################################\n###%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################@@@###########################################################################\n####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%#####@@#%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################################################################%%#########################################################\n###%%%%%#%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%####@@##%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################################################@##################%%#########################################################\n###%%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%######@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%#######################################################################%##########################################################\n#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%####@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################################################################################################################################\n#####%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%##############%%%%%%%%%#####@@@#%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################################################################%%##########################################################\n#####%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%#####@@@@#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%##################################################################%#############%############################################\n#######%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%######@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##################################%%###############################%%#############%############################################\n#####%%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@#%%%%%######%%%%%%%%%%%%%%%%%%%%%%%#%%%#####%#%##%#%%%#####################%%%%################################%##############%###########################################\n######%%%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@##%%%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%######################%#%%################################################%############################################\n######%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%################################%%%#############################%##%################%############################################\n#######%#%%%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%#####@@@@@##%%%%%%%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%#%%%%##%######################%%%%###############################%%################%############################################\n########%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%######@@@@##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#%#########################%%%%#####################%#%#####%#%################%#%###########################################\n########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%#%%#%%######################%%##########%############################################################\n#########%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%#######@####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%######################%#####%%%#######################%%%###########################%%###########################################\n#######%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%%%%%%%%%%############%%%%%%%#%%%%%%%%%%%%%%%%%%%%#######################%###%#%##%%%%##%#####################%%%##########################%%%###########################################\n#######%%##%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%############%%%%#%%%%%%%%%%%%%%%%%%%%#%%%#####################%#%#%%%%#%%%%%#########################%%##########################%%############################################\n########%%%#%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%###%%%%#%###%%%%%#######################%###%#%%%%%%#%%#%%%%%########################%%###########################%%############################################\n########%%%#%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%####%%#%######################%####%%#%#%%%%%%%%%%%%%%%%%%%########################%%%############################%############################################\n##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%############%%#####%#######%#########%%#%%###%%%%%%%%%#%%%%%%%%%%%%%%%%########################%%%%%##########################%#############################################\n#########%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%############%%%%%%%%%%%%%%###########%%%#####################%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%########################%%%%############################%############################################\n#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%#############%%%%%%%%%%%%%%###########%%%%%#################%%%%%##%%%%%%#%%###%%%%%%%%%%%%%%%%########################%%%%%###########################%%############################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%+%%%%%%%###########%%%%%%%%%%%%%%%###########%%%%%###############%%%%%%%#%%%%%%%%#%#%%%%%%%%%%%%%%%%%#########################%%%%###########################%%############################################\n###########%%%%%%%%%%%%%%%%%#%%%%%%%%%%%+%%%%+++++%%%%%############%%%%%%%%%%%%%%%############%%%%%%############%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################\n#############%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%++++++%%+%%%%###########%%%%%%%%%%%%%%#############%%%%%%############%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%############################%#############################################\n############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%+++++%%+%%%%############%%%%%%%%%%%%%%%############%%%%%%#############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%#%%%#############################%####%########################################\n#########%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%#############%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%%%%############################%%%##%%%#######################################\n############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%##############################%##%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%############%%%%%%%%%%%%%%%#############%%%%%%%#########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%%%%%%############################%%%%%%%%%#######################################\n##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%###########%%%%%%%%%%%%%%%%#%##########%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%%#############################%%%%%%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%#############%%%%%%%%%%%%%%%%###########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########%#########%%##############################%%%%%%%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%##############%%%%%%%%%%%%%%%%%%%#########%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%##############################%%%%%%%%%########################################\n##########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%%%%%#############%%%%%%%%%%%%%%%%%%%#%#######%%%%%%%%###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##########%%###%%%%##############################%%%%%%%%#########################################\n##########%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%##############%%%%%%%%%%%%%%%%%%%%########%%%%%%%#############%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%#########%#%%%#%###############################%%%%%%%%%#########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%#############%%%%%%%%%%%%%%%%%%%%#%######%%%%%%############%#%%%%%%%%%%%%%%%%%%%%##%%%#%%%%####%%###%%%###%##############################%%%%%%%%%%#########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%%%%%%%%%#%#%%###########%%##%###############################%###%%%%%%%%%%%########################################\n###########%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%%%###############%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%##############%%%%%%%%%%%#%%%%###%##################################################%%###%%%%%%%%%%########################################\n###########%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++%%%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%%%%%%%%%%%#%#######################################################%####%%%##%%%%%########################################\n#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%++++%%+%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%################%%%#%%%####%###########################################################%%%%%#%%%%#########################################\n#############%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++++%+%%%%%################%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%%#%%#%#%####%####%#########################%#############%%#########%%%##%%##%%%%########################################\n##########%###%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++++++%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%#################%###%####%#%%###########################%#%############%%###########%#%#####%%%%########################################\n###########%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%#%%#####################%#%%%%%%%%%%%%%%%%%%%%%%%%################%#####%####%%%%####%##############%##%%%%%%#########################%%%#####%#%%########################################\n##########%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++%+%%+%%%%%%%#################%#####%%%%%%%%%%%%%%%%%%%%%%%%########################%#%%######%######%%#%##%%%%%%%%%%##########################%%######%%%%########################################\n##########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%+%%%%%%%%#######################%%%%%%%%%%%%%%%%%%%%%%%%%%#############%#######%###%%%%%##%##%%%###%%%%%%%%%%%%#########################%%%%%#####%%%%%#######################################\n#########%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%%%%%################%%%%##%##%%##%%#%%%%%%%%%%%%%%%%%###########%%%%##########%%#%#%%%%%%#%%%%%%##%%%%%%%#########################%%%%%#######%%%%%######################################\n#########%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%%%%%##################%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%#########%%%#%###%####%#%#%%#%%%%%#%%%%%%%%%%%%%%#%#####################%%##%%%%########%%%%#######################################\n#########%%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%###############%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%#########%%#%%%###%#%########%%#%%%%%%%%%%%%%%%%%%%####################%%%##%%%%%########%%########################################\n#########%%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%%%%%%##############%%%%%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%#######%#######%#%%%%%%%%%%%%##%%%%##################%%%%%#%%%%%##################################################\n########%#%%%%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%+++%%%%%############%%%%%%%%%%%%%##%#%%%%%%%%%%%%%%%%%%%%%%#######%%%%%%%%%#############%%%%%%%%%%%%%%#%%%##########%%#######%%%%%%%%%%###################################################\n#########%%%%%#######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%+%%%%%%%+%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%##%####%%%%%%%%%%%%%%%%%##%##########%########%%%%%%%%%%%###################################################\n########%%%%%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++++%%%%%%++%%%%%%##############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%%%%%%%%%%#############%%%%######%%%%%%%%%%####################################################\n########%%%%%#%######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%++++++%+%%%+++%++%%##################%%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%##%%%%%%%%%%#%%%%%%%#####%########%%%%######%%%%%%%%%%####################################################\n#########%%%%####%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++%++%++%%%%+++++%%###################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#%%%%##############%%%%%######%%%%%%%%%%####################################################\n#########%%%%########%%%%%%%%%%%%%%%%+%%%%%%%%%%%%%+%+++%+%%%%%%+++++%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%#%#################%%%%%#####%%%%%%%%%#####################################################\n#######%#%%%%##%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++++%%%%%%%++++%%%%%###############%%%%%%%%%%#%%%%%%%%%%%%%%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%##################%%%#%%####%%%%%%%%%######################################################\n#######%#%%#%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%%++++%%%%%################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%#%%%%#####%%%%%%%%######################################################\n#######%%%%%###%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+%%%%%%%%%+++%%%%%%%##############%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%#########%%%%######################################################\n#######%%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%###########%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#####################%%%%%########%%%%%#######################################################\n#######%%%%%%%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+++%%%%%%%#%%##########%%%%%%%##%%%%%%%%%%%%%%%%%%#%%%%%#%%%%%%%%%###%%%%%%%%%%%%%%%%%%%%%###############%#####%#%##########%%%%%#######################################################\n########%%%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++%%%%%%%##%%#########%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%#################################%%%%#########################################################\n######%%%%%#%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#########%%%%%%%###%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#################%%%#############%%%##########################################################\n######%%%%%###%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####%########%%%%###%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############%##%############%#%%###########################################################\n####%#%%%%%###%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%####%%#%%%%%%%%%%%%%+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#############%%%###############%%%%##########################################################\n######%%#%%#%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%%%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%############%%%##############%%%%%##########################################################\n#########%%%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############%%####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%##########################%%%%%###########################################################\n######%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########%%####%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%###########################################################\n#####%%%%%%#%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%#########################%#%%%%#############################################################\n##%%%%%%%%%#%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%####################%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%%%%%########################%%%%%%%%#############################################################\n##%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###################%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%###############################################################\n##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%###############################################################\n###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###########################%%%%%%##############################################################\n#%%#%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########################%%%%%%%###############################################################\n#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######################%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%%%################################################################\n##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##################%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#######################%%#%%%%###%###############################################################\n\n[https://asciiartattack.de/bildgeneratoren/einsteiger/](https://asciiartattack.de/bildgeneratoren/einsteiger/ \"Zurück\")\n",
  "markdownStats": {
    "images": 0,
    "links": 1,
    "tables": 0,
    "codeBlocks": 0,
    "headings": 0
  },
  "tokens": {
    "htmlTokens": 14114,
    "markdownTokens": 13107,
    "reduction": 1007,
    "reductionPercent": 7
  },
  "score": {
    "score": 49,
    "grade": "D",
    "dimensions": {
      "semanticHtml": {
        "score": 70,
        "weight": 20,
        "grade": "C",
        "checks": {
          "uses_article_or_main": {
            "score": 0,
            "weight": 20,
            "details": "Missing <article> and <main> elements"
          },
          "proper_heading_hierarchy": {
            "score": 100,
            "weight": 25,
            "details": "Clean heading hierarchy"
          },
          "semantic_elements": {
            "score": 50,
            "weight": 20,
            "details": "No divs or semantic elements found"
          },
          "meaningful_alt_texts": {
            "score": 100,
            "weight": 15,
            "details": "No images found"
          },
          "low_div_nesting": {
            "score": 100,
            "weight": 20,
            "details": "No divs found"
          }
        }
      },
      "contentEfficiency": {
        "score": 60,
        "weight": 25,
        "grade": "C",
        "checks": {
          "token_reduction_ratio": {
            "score": 0,
            "weight": 40,
            "details": "7% token reduction (HTML→Markdown)"
          },
          "content_to_noise_ratio": {
            "score": 100,
            "weight": 30,
            "details": "Content ratio: 97.3% (83309 content chars / 85595 HTML bytes)"
          },
          "minimal_inline_styles": {
            "score": 100,
            "weight": 15,
            "details": "1/344 elements with inline styles (0.3%)"
          },
          "reasonable_page_weight": {
            "score": 100,
            "weight": 15,
            "details": "HTML size: 84KB"
          }
        }
      },
      "aiDiscoverability": {
        "score": 15,
        "weight": 25,
        "grade": "F",
        "checks": {
          "has_llms_txt": {
            "score": 0,
            "weight": 20,
            "details": "No llms.txt found"
          },
          "has_robots_txt": {
            "score": 0,
            "weight": 10,
            "details": "No robots.txt found"
          },
          "robots_allows_ai_bots": {
            "score": 100,
            "weight": 15,
            "details": "No robots.txt — AI bots allowed by default"
          },
          "has_sitemap": {
            "score": 0,
            "weight": 10,
            "details": "No sitemap found"
          },
          "supports_markdown_negotiation": {
            "score": 0,
            "weight": 25,
            "details": "No Markdown for Agents support detected"
          },
          "has_content_signals": {
            "score": 0,
            "weight": 20,
            "details": "No Content-Signal found (robots.txt or HTTP headers)"
          }
        }
      },
      "structuredData": {
        "score": 10,
        "weight": 15,
        "grade": "F",
        "checks": {
          "has_schema_org": {
            "score": 0,
            "weight": 30,
            "details": "No JSON-LD / Schema.org found"
          },
          "has_open_graph": {
            "score": 0,
            "weight": 25,
            "details": "0/3 OG tags present"
          },
          "has_meta_description": {
            "score": 50,
            "weight": 20,
            "details": "Meta description too short: 35 chars"
          },
          "has_canonical_url": {
            "score": 0,
            "weight": 15,
            "details": "No canonical URL"
          },
          "has_lang_attribute": {
            "score": 0,
            "weight": 10,
            "details": "No lang attribute on <html>"
          }
        }
      },
      "accessibility": {
        "score": 100,
        "weight": 15,
        "grade": "A",
        "checks": {
          "content_without_js": {
            "score": 100,
            "weight": 40,
            "details": "Content available without JavaScript"
          },
          "reasonable_page_size": {
            "score": 100,
            "weight": 30,
            "details": "Page size: 84KB"
          },
          "fast_content_position": {
            "score": 100,
            "weight": 30,
            "details": "Main content starts at 0% of HTML"
          }
        }
      }
    }
  },
  "recommendations": [
    {
      "id": "add_llms_txt",
      "priority": "critical",
      "category": "aiDiscoverability",
      "titleKey": "rec.add_llms_txt.title",
      "descriptionKey": "rec.add_llms_txt.description",
      "howToKey": "rec.add_llms_txt.howto",
      "effort": "quick-win",
      "estimatedImpact": 10,
      "checkScore": 0,
      "checkDetails": "No llms.txt found"
    },
    {
      "id": "add_article_main",
      "priority": "critical",
      "category": "semanticHtml",
      "titleKey": "rec.add_article_main.title",
      "descriptionKey": "rec.add_article_main.description",
      "howToKey": "rec.add_article_main.howto",
      "effort": "quick-win",
      "estimatedImpact": 8,
      "checkScore": 0,
      "checkDetails": "Missing <article> and <main> elements"
    },
    {
      "id": "improve_token_efficiency",
      "priority": "critical",
      "category": "contentEfficiency",
      "titleKey": "rec.improve_token_efficiency.title",
      "descriptionKey": "rec.improve_token_efficiency.description",
      "howToKey": "rec.improve_token_efficiency.howto",
      "effort": "significant",
      "estimatedImpact": 8,
      "checkScore": 0,
      "checkDetails": "7% token reduction (HTML→Markdown)"
    },
    {
      "id": "add_markdown_negotiation",
      "priority": "critical",
      "category": "aiDiscoverability",
      "titleKey": "rec.add_markdown_negotiation.title",
      "descriptionKey": "rec.add_markdown_negotiation.description",
      "howToKey": "rec.add_markdown_negotiation.howto",
      "effort": "significant",
      "estimatedImpact": 6,
      "checkScore": 0,
      "checkDetails": "No Markdown for Agents support detected"
    },
    {
      "id": "add_robots_txt",
      "priority": "critical",
      "category": "aiDiscoverability",
      "titleKey": "rec.add_robots_txt.title",
      "descriptionKey": "rec.add_robots_txt.description",
      "howToKey": "rec.add_robots_txt.howto",
      "effort": "quick-win",
      "estimatedImpact": 5,
      "checkScore": 0,
      "checkDetails": "No robots.txt found"
    },
    {
      "id": "add_sitemap",
      "priority": "critical",
      "category": "aiDiscoverability",
      "titleKey": "rec.add_sitemap.title",
      "descriptionKey": "rec.add_sitemap.description",
      "howToKey": "rec.add_sitemap.howto",
      "effort": "quick-win",
      "estimatedImpact": 5,
      "checkScore": 0,
      "checkDetails": "No sitemap found"
    },
    {
      "id": "add_content_signals",
      "priority": "critical",
      "category": "aiDiscoverability",
      "titleKey": "rec.add_content_signals.title",
      "descriptionKey": "rec.add_content_signals.description",
      "howToKey": "rec.add_content_signals.howto",
      "effort": "quick-win",
      "estimatedImpact": 5,
      "checkScore": 0,
      "checkDetails": "No Content-Signal found (robots.txt or HTTP headers)"
    },
    {
      "id": "add_schema_org",
      "priority": "high",
      "category": "structuredData",
      "titleKey": "rec.add_schema_org.title",
      "descriptionKey": "rec.add_schema_org.description",
      "howToKey": "rec.add_schema_org.howto",
      "effort": "moderate",
      "estimatedImpact": 6,
      "checkScore": 0,
      "checkDetails": "No JSON-LD / Schema.org found"
    },
    {
      "id": "add_open_graph",
      "priority": "high",
      "category": "structuredData",
      "titleKey": "rec.add_open_graph.title",
      "descriptionKey": "rec.add_open_graph.description",
      "howToKey": "rec.add_open_graph.howto",
      "effort": "quick-win",
      "estimatedImpact": 4,
      "checkScore": 0,
      "checkDetails": "0/3 OG tags present"
    },
    {
      "id": "add_canonical_url",
      "priority": "high",
      "category": "structuredData",
      "titleKey": "rec.add_canonical_url.title",
      "descriptionKey": "rec.add_canonical_url.description",
      "howToKey": "rec.add_canonical_url.howto",
      "effort": "quick-win",
      "estimatedImpact": 3,
      "checkScore": 0,
      "checkDetails": "No canonical URL"
    }
  ],
  "llmsTxtPreview": "# woogie.de\n\n> Yet another ASCII Art Attack image.\n\n## Main\n- [ASCII Art Attack](Http://Woogie.de): Yet another ASCII Art Attack image.\n\n",
  "llmsTxtExisting": null,
  "emergingProtocols": {
    "oauthDiscovery": {
      "exists": false,
      "url": "http://woogie.de/.well-known/oauth-authorization-server"
    },
    "mcpServerCard": {
      "exists": false,
      "url": "http://woogie.de/.well-known/mcp.json"
    },
    "a2aAgentCard": {
      "exists": false,
      "url": "http://woogie.de/.well-known/agent.json"
    },
    "count": 0
  },
  "snippets": [
    {
      "id": "add_llms_txt",
      "title": "Create /llms.txt",
      "description": "Upload this file to your web root. It tells AI agents what your site is about and which pages matter.",
      "language": "markdown",
      "code": "# woogie.de\n\n> Yet another ASCII Art Attack image.\n\n## Main\n- [ASCII Art Attack](Http://Woogie.de): Yet another ASCII Art Attack image.\n\n",
      "filename": "/llms.txt"
    },
    {
      "id": "add_open_graph",
      "title": "Add missing Open Graph tags",
      "description": "Open Graph tags control how your page looks when shared on social media and how AI platforms preview your URL in answers.",
      "language": "html",
      "code": "<meta property=\"og:title\" content=\"ASCII Art Attack\">\n<meta property=\"og:description\" content=\"Yet another ASCII Art Attack image.\">\n<meta property=\"og:image\" content=\"https://yoursite.com/og-image.jpg\">\n<meta property=\"og:url\" content=\"Http://Woogie.de\">\n<meta property=\"og:type\" content=\"website\">",
      "filename": "<head>",
      "stacks": [
        {
          "id": "html",
          "label": "HTML <head>",
          "language": "html",
          "filename": "<head>",
          "code": "<meta property=\"og:title\" content=\"ASCII Art Attack\">\n<meta property=\"og:description\" content=\"Yet another ASCII Art Attack image.\">\n<meta property=\"og:image\" content=\"https://yoursite.com/og-image.jpg\">\n<meta property=\"og:url\" content=\"Http://Woogie.de\">\n<meta property=\"og:type\" content=\"website\">"
        },
        {
          "id": "wordpress",
          "label": "WordPress",
          "language": "php",
          "filename": "functions.php",
          "code": "<?php\n// Quick Open Graph tags without a plugin (skip if Yoast / Rank Math is active)\nadd_action('wp_head', function () {\n    if (!is_singular()) return;\n    $post = get_queried_object();\n    $title = get_the_title($post);\n    $desc  = get_the_excerpt($post) ?: wp_trim_words(strip_tags($post->post_content), 30);\n    $image = get_the_post_thumbnail_url($post, 'large') ?: 'https://yoursite.com/og-image.jpg';\n    $url   = get_permalink($post);\n    printf('<meta property=\"og:title\" content=\"%s\">' . \"\\n\", esc_attr($title));\n    printf('<meta property=\"og:description\" content=\"%s\">' . \"\\n\", esc_attr($desc));\n    printf('<meta property=\"og:image\" content=\"%s\">' . \"\\n\", esc_url($image));\n    printf('<meta property=\"og:url\" content=\"%s\">' . \"\\n\", esc_url($url));\n    echo '<meta property=\"og:type\" content=\"article\">' . \"\\n\";\n}, 5);"
        },
        {
          "id": "nextjs",
          "label": "Next.js",
          "language": "typescript",
          "filename": "app/page.tsx",
          "code": "// Next.js App Router — Metadata API\nimport type { Metadata } from 'next';\n\nexport const metadata: Metadata = {\n  title: \"ASCII Art Attack\",\n  description: \"Yet another ASCII Art Attack image.\",\n  openGraph: {\n    title: \"ASCII Art Attack\",\n    description: \"Yet another ASCII Art Attack image.\",\n    url: \"Http://Woogie.de\",\n    images: [\"https://yoursite.com/og-image.jpg\"],\n    type: 'website',\n  },\n};"
        }
      ]
    },
    {
      "id": "add_canonical_url",
      "title": "Add canonical URL",
      "description": "The canonical URL tells AI agents which version of the page is the \"official\" one, avoiding duplicate content issues.",
      "language": "html",
      "code": "<link rel=\"canonical\" href=\"Http://Woogie.de\">",
      "filename": "<head>"
    },
    {
      "id": "add_schema_org",
      "title": "Add Schema.org JSON-LD",
      "description": "Structured data helps AI agents understand the type, author, and purpose of your content.",
      "language": "html",
      "code": "<script type=\"application/ld+json\">\n{\n  \"@context\": \"https://schema.org\",\n  \"@type\": \"WebPage\",\n  \"name\": \"ASCII Art Attack\",\n  \"description\": \"Yet another ASCII Art Attack image.\",\n  \"url\": \"Http://Woogie.de\",\n  \"inLanguage\": \"en\"\n}\n</script>",
      "filename": "<head>"
    },
    {
      "id": "add_robots_txt",
      "title": "Create /robots.txt",
      "description": "A robots.txt file tells crawlers (including AI bots) what they can and cannot access.",
      "language": "txt",
      "code": "User-agent: *\nAllow: /\n\nSitemap: http://woogie.de/sitemap.xml",
      "filename": "/robots.txt"
    },
    {
      "id": "add_sitemap",
      "title": "Create /sitemap.xml",
      "description": "A sitemap helps AI agents discover all your pages. Most CMS platforms generate one automatically.",
      "language": "xml",
      "code": "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<urlset xmlns=\"http://www.sitemaps.org/schemas/sitemap/0.9\">\n  <url>\n    <loc>Http://Woogie.de</loc>\n    <lastmod>2026-07-06</lastmod>\n  </url>\n</urlset>",
      "filename": "/sitemap.xml"
    },
    {
      "id": "add_article_main",
      "title": "Wrap content in <main> and <article>",
      "description": "Semantic HTML landmarks help AI agents identify the main content of your page.",
      "language": "html",
      "code": "<main>\n  <article>\n    <h1>Your Page Title</h1>\n    <p>Your content here...</p>\n  </article>\n</main>",
      "filename": "<body>"
    },
    {
      "id": "add_content_signals",
      "title": "Add Content-Signal directives",
      "description": "Content-Signal tells AI agents how they may use your content. The canonical location is robots.txt, but you can also expose it as an HTTP header from any stack.",
      "language": "txt",
      "code": "User-agent: *\nContent-Signal: search=yes, ai-input=yes, ai-train=no",
      "filename": "/robots.txt",
      "stacks": [
        {
          "id": "robots",
          "label": "robots.txt",
          "language": "txt",
          "filename": "/robots.txt",
          "code": "User-agent: *\nContent-Signal: search=yes, ai-input=yes, ai-train=no"
        },
        {
          "id": "nginx",
          "label": "Nginx",
          "language": "nginx",
          "filename": "server block",
          "code": "# Inside your server { } block:\nadd_header Content-Signal \"search=yes, ai-input=yes, ai-train=no\" always;"
        },
        {
          "id": "apache",
          "label": "Apache",
          "language": "apache",
          "filename": ".htaccess",
          "code": "# In .htaccess (or VirtualHost):\nHeader set Content-Signal \"search=yes, ai-input=yes, ai-train=no\""
        },
        {
          "id": "wordpress",
          "label": "WordPress",
          "language": "php",
          "filename": "functions.php",
          "code": "<?php\n// In your theme's functions.php or a small mu-plugin\nadd_action('send_headers', function () {\n    header('Content-Signal: search=yes, ai-input=yes, ai-train=no');\n});\n\n// Optional: also append the directive to the dynamic robots.txt\nadd_filter('robots_txt', function ($output) {\n    return $output . \"\\nContent-Signal: search=yes, ai-input=yes, ai-train=no\\n\";\n}, 10, 1);"
        },
        {
          "id": "nextjs",
          "label": "Next.js",
          "language": "typescript",
          "filename": "middleware.ts",
          "code": "// middleware.ts (Next.js 13+ App Router or Pages Router)\nimport { NextResponse } from 'next/server';\nexport function middleware() {\n  const res = NextResponse.next();\n  res.headers.set(\n    'Content-Signal',\n    'search=yes, ai-input=yes, ai-train=no'\n  );\n  return res;\n}\nexport const config = { matcher: '/:path*' };"
        },
        {
          "id": "cloudflare",
          "label": "Cloudflare Workers",
          "language": "javascript",
          "filename": "worker.js",
          "code": "// Cloudflare Worker that proxies your origin and adds the header\nexport default {\n  async fetch(request, env, ctx) {\n    const res = await fetch(request);\n    const newRes = new Response(res.body, res);\n    newRes.headers.set(\n      'Content-Signal',\n      'search=yes, ai-input=yes, ai-train=no'\n    );\n    return newRes;\n  },\n};"
        },
        {
          "id": "express",
          "label": "Express / Fastify",
          "language": "javascript",
          "filename": "server.js",
          "code": "// Express\napp.use((req, res, next) => {\n  res.setHeader('Content-Signal', 'search=yes, ai-input=yes, ai-train=no');\n  next();\n});\n\n// Fastify\nfastify.addHook('onSend', (request, reply, payload, done) => {\n  reply.header('Content-Signal', 'search=yes, ai-input=yes, ai-train=no');\n  done();\n});"
        }
      ]
    },
    {
      "id": "add_markdown_negotiation",
      "title": "Support Markdown for Agents",
      "description": "Let AI agents request a clean Markdown version of any page via content negotiation, .md alternate URLs, link tags or Link headers.",
      "language": "html",
      "code": "<!-- Mechanism 3: link tag advertising the .md alternate -->\n<link rel=\"alternate\" type=\"text/markdown\" href=\"/page.md\">",
      "filename": "<head>",
      "stacks": [
        {
          "id": "html",
          "label": "HTML <head>",
          "language": "html",
          "filename": "<head>",
          "code": "<!-- Mechanism 3: link tag advertising the .md alternate -->\n<link rel=\"alternate\" type=\"text/markdown\" href=\"/page.md\">"
        },
        {
          "id": "express",
          "label": "Express",
          "language": "javascript",
          "filename": "server.js",
          "code": "// Mechanisms 1 + 4: content negotiation + Link header\napp.get('/page', (req, res) => {\n  res.setHeader('Vary', 'Accept');\n  res.setHeader('Link', '</page.md>; rel=\"alternate\"; type=\"text/markdown\"');\n  if ((req.headers.accept || '').includes('text/markdown')) {\n    res.type('text/markdown; charset=utf-8');\n    return res.send(renderMarkdown('page'));\n  }\n  res.render('page');\n});"
        },
        {
          "id": "fastify",
          "label": "Fastify",
          "language": "javascript",
          "filename": "server.js",
          "code": "// Mechanisms 1 + 4: content negotiation + Link header\nfastify.get('/page', async (req, reply) => {\n  reply.header('Vary', 'Accept');\n  reply.header('Link', '</page.md>; rel=\"alternate\"; type=\"text/markdown\"');\n  if ((req.headers.accept || '').includes('text/markdown')) {\n    return reply.type('text/markdown; charset=utf-8').send(renderMarkdown('page'));\n  }\n  return reply.view('/page.ejs');\n});"
        },
        {
          "id": "nextjs",
          "label": "Next.js",
          "language": "typescript",
          "filename": "app/page/route.ts",
          "code": "// Next.js App Router — Route Handler returning Markdown\nimport { NextRequest } from 'next/server';\nimport { renderMarkdown } from '@/lib/md';\nexport async function GET(req: NextRequest) {\n  const accept = req.headers.get('accept') || '';\n  if (accept.includes('text/markdown')) {\n    return new Response(await renderMarkdown('page'), {\n      headers: {\n        'Content-Type': 'text/markdown; charset=utf-8',\n        'Vary': 'Accept',\n      },\n    });\n  }\n  // Fall through to the page component\n  return new Response(null, { status: 404 });\n}"
        },
        {
          "id": "wordpress",
          "label": "WordPress",
          "language": "php",
          "filename": "functions.php",
          "code": "<?php\n// Mechanism 1: respond to Accept: text/markdown on the same URL\nadd_action('template_redirect', function () {\n    if (!is_singular()) return;\n    $accept = $_SERVER['HTTP_ACCEPT'] ?? '';\n    if (strpos($accept, 'text/markdown') === false) return;\n    header('Content-Type: text/markdown; charset=utf-8');\n    header('Vary: Accept');\n    $post = get_queried_object();\n    echo \"# \" . get_the_title($post) . \"\\n\\n\";\n    echo wp_strip_all_tags(apply_filters('the_content', $post->post_content));\n    exit;\n});"
        },
        {
          "id": "static",
          "label": "Hugo / Jekyll / Astro",
          "language": "txt",
          "filename": "static/page.md",
          "code": "# Mechanism 2: serve .md alongside .html\n# Hugo: place page.md in /static/ — built unchanged\n# Jekyll: drop page.md in /assets/ — copied as-is\n# Astro: src/pages/page.md.ts that exports a GET returning markdown\n\n# Then advertise with mechanism 3 in <head>:\n#   <link rel=\"alternate\" type=\"text/markdown\" href=\"/page.md\">"
        }
      ]
    }
  ]
}

Usa la nostra API per ottenere questo programmaticamente (prossimamente)

Questo JSON è per uso interno — a differenza dei file Markdown e llms.txt, non è destinato ad essere caricato sul tuo sito. Salvalo come riferimento per monitorare il tuo punteggio nel tempo, condividilo con il tuo team di sviluppo o integralo nella tua pipeline CI/CD.

Condividi i tuoi risultati

Oppure chiedi a un'IA di aiutarti a migliorarlo

Vuoi un secondo parere?

Anche Cloudflare ha uno scanner gratuito, e pone una domanda diversa. Loro valutano ciò che il tuo sito pubblica perché gli agenti lo invochino: MCP server card, Agent Skills, cataloghi di API, record DNS. Noi valutiamo se un agente riesce a raggiungere i tuoi contenuti, leggerli e capirli. Un sito può andare bene in uno e male nell'altro, quindi aspettati due numeri diversi: sono risposte a due domande diverse, ed entrambe vale la pena conoscerle.

Analizza woogie.de con Cloudflare

Incorpora il tuo badge

Aggiungi questo badge al tuo sito. Si aggiorna automaticamente quando cambia il tuo punteggio di prontezza IA.

AgentReady.md score for woogie.de
Script Consigliato
<script src="https://agentready.md/badge.js" data-id="750fa034-fd11-4937-80c8-6ca58ce32f1a" data-domain="woogie.de"></script>
Markdown
[![AgentReady.md score for woogie.de](https://agentready.md/badge/woogie.de.svg)](https://agentready.md/it/r/750fa034-fd11-4937-80c8-6ca58ce32f1a)

Prossimamente: Analisi completa del dominio

Scansiona l'intero dominio, genera llms.txt e monitora il tuo punteggio di prontezza IA nel tempo. Iscriviti alla lista d'attesa.

Sei nella lista! Ti avviseremo quando sarà disponibile.