admin_host(cells/linux-i3u2Node01Cell|virtualhosts.xml#VirtualHost_2)

aliases//
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     mimeTypes.type=application/vnd.kahootz
     mimeTypes.extensions=ivu
     mimeTypes.type=application/vnd.immervision-ivu
     mimeTypes.extensions=mag
     mimeTypes.type=application/vnd.ecowin.chart
     mimeTypes.extensions=svg;svgz
     mimeTypes.type=image/svg+xml
     mimeTypes.extensions=spl
     mimeTypes.type=application/x-futuresplash
     mimeTypes.extensions=viv
     mimeTypes.type=video/vnd.vivo
     mimeTypes.extensions=gtm
     mimeTypes.type=application/vnd.groove-tool-message
     mimeTypes.extensions=fhc;fh4;fh;fh5;fh7
     mimeTypes.type=image/x-freehand
     mimeTypes.extensions=hps
     mimeTypes.type=application/vnd.hp-hps
     mimeTypes.extensions=lbd
     mimeTypes.type=application/vnd.llamagraphics.life-balance.desktop
     mimeTypes.extensions=geo
     mimeTypes.type=application/vnd.dynageo
     mimeTypes.extensions=sit
     mimeTypes.type=application/x-stuffit
     mimeTypes.extensions=cat
     mimeTypes.type=application/vnd.ms-pki.seccat
     mimeTypes.extensions=dsc
     mimeTypes.type=text/prs.lines.tag
     mimeTypes.extensions=fvt
     mimeTypes.type=video/vnd.fvt
     mimeTypes.extensions=mqy
     mimeTypes.type=application/vnd.mobius.mqy
     mimeTypes.extensions=pgp
     mimeTypes.type=application/pgp-encrypted
     mimeTypes.extensions=clkp
     mimeTypes.type=application/vnd.crick.clicker.palette
     mimeTypes.extensions=oga;spx;ogg
     mimeTypes.type=audio/ogg
     mimeTypes.extensions=asf;asx
     mimeTypes.type=video/x-ms-asf
     mimeTypes.extensions=crl
     mimeTypes.type=application/pkix-crl
     mimeTypes.extensions=mlp
     mimeTypes.type=application/vnd.dolby.mlp
     mimeTypes.extensions=bh2
     mimeTypes.type=application/vnd.fujitsu.oasysprs
     mimeTypes.extensions=ace
     mimeTypes.type=application/x-ace-compressed
     mimeTypes.extensions=p12;pfx
     mimeTypes.type=application/x-pkcs12
     mimeTypes.extensions=cdkey
     mimeTypes.type=application/vnd.mediastation.cdkey
     mimeTypes.extensions=ico
     mimeTypes.type=image/x-icon
     mimeTypes.extensions=gim
     mimeTypes.type=application/vnd.groove-identity-message
     mimeTypes.extensions=fti
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     mimeTypes.extensions=ppd
     mimeTypes.type=application/vnd.cups-ppd
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     mimeTypes.type=application/font-tdpfr
     mimeTypes.extensions=cab
     mimeTypes.type=application/vnd.ms-cab-compressed
     mimeTypes.extensions=xpx;xpw
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     mimeTypes.extensions=grxml
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     mimeTypes.extensions=fpx
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name=admin_host


⠁⠇⠊⠁⠎⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠁⠇⠊⠁⠎⠑⠎⠨⠓⠕⠎⠞⠝⠁⠍⠑⠿⠡
⠀⠀⠀⠀⠀⠁⠇⠊⠁⠎⠑⠎⠨⠏⠕⠗⠞⠿⠔⠴⠖⠴
⠀⠀⠀⠀⠀⠁⠇⠊⠁⠎⠑⠎⠨⠓⠕⠎⠞⠝⠁⠍⠑⠿⠡
⠀⠀⠀⠀⠀⠁⠇⠊⠁⠎⠑⠎⠨⠏⠕⠗⠞⠿⠔⠴⠲⠒
⠍⠊⠍⠑⠞⠽⠏⠑⠎⠌⠌
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠑⠏⠰⠎⠞⠏⠰⠎⠞⠑⠏⠰⠎⠞⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠞⠑⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠛⠺⠰⠙⠛⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠁⠉⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠉⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠉⠇⠁⠗⠊⠎⠉⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠗⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠙⠗⠁⠋⠞⠊⠝⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠝⠧⠰⠥⠝⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠊⠤⠙⠑⠁⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠊⠝⠰⠇⠗⠋⠰⠇⠓⠁⠰⠊⠎⠕⠰⠙⠊⠎⠞⠰⠙⠑⠏⠇⠕⠽⠰⠙⠍⠎⠰⠏⠅⠛⠰⠙⠥⠍⠏⠰⠙⠊⠎⠞⠵⠰⠇⠵⠓⠰⠑⠇⠉⠰⠎⠕⠰⠃⠏⠅⠰⠙⠍⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠕⠉⠞⠑⠞⠤⠎⠞⠗⠑⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠕⠙⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠎⠰⠁⠊⠰⠑⠏⠎⠰⠏⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠕⠎⠞⠎⠉⠗⠊⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠗⠞⠰⠏⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠗⠕⠸⠑⠝⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠞⠰⠎⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠕⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠕⠇⠊⠙⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠙⠁⠰⠧⠙⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠙⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠂⠆⠒⠰⠺⠅⠂⠰⠺⠅⠒⠰⠺⠅⠲
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠂⠤⠆⠤⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠏⠗⠰⠧⠑⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠁⠏⠏⠗⠕⠁⠉⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠗⠑⠰⠏⠗⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠋⠗⠑⠑⠇⠁⠝⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠗⠆⠰⠕⠗⠒⠰⠕⠗⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠕⠗⠛⠁⠝⠊⠵⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠉⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠎⠉⠗⠑⠑⠝⠉⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠺⠏⠰⠎⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠺⠕⠗⠙⠏⠗⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠉⠏⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠃⠉⠏⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠃⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠏⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠉⠏⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠉⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠧⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠧⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠗⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠗⠑⠑⠇⠁⠝⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠞⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠛⠞⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠓⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠅⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠙⠋⠰⠝⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠝⠑⠞⠉⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠓⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠓⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠧⠲⠉⠏⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠧⠲⠉⠏⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠧⠲⠉⠗⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠧⠲⠉⠗⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠉⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠞⠉⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠑⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠞⠑⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠑⠭⠊⠰⠞⠑⠭⠊⠝⠋⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠞⠑⠭⠊⠝⠋⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠗⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠺⠁⠊⠎⠤⠎⠕⠥⠗⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠑⠗⠰⠉⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠭⠢⠴⠔⠤⠉⠁⠤⠉⠑⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠥⠰⠎⠝⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠃⠁⠎⠊⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠊⠋⠰⠁⠊⠋⠉⠰⠁⠊⠋⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠁⠊⠋⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠁⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠺⠁⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠃⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠛⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠑⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠊⠑⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠏⠑⠰⠚⠏⠑⠛⠰⠚⠏⠛⠰⠚⠏⠑⠰⠚⠏⠑⠛⠰⠚⠏⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠚⠏⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠊⠋⠰⠞⠊⠋⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠞⠊⠋⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠝⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠏⠕⠗⠞⠁⠃⠇⠑⠤⠁⠝⠽⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠃⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠏⠕⠗⠞⠁⠃⠇⠑⠤⠃⠊⠞⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠛⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠏⠕⠗⠞⠁⠃⠇⠑⠤⠛⠗⠁⠽⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠏⠕⠗⠞⠁⠃⠇⠑⠤⠏⠊⠭⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠛⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠗⠛⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠃⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠭⠃⠊⠞⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠏⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠭⠏⠊⠭⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠺⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠭⠺⠊⠝⠙⠕⠺⠙⠥⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠥⠇⠞⠊⠏⠁⠗⠞⠌⠭⠤⠛⠵⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠉⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠞⠍⠰⠓⠞⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠓⠞⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠕⠝⠋⠰⠙⠑⠋⠰⠇⠊⠎⠞⠰⠇⠕⠛⠰⠇⠎⠞⠰⠍⠰⠍⠁⠗⠰⠎⠙⠍⠇⠰⠞⠭⠞⠰⠊⠝⠰⠞⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠏⠇⠁⠊⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠗⠊⠉⠓⠞⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠎⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠞⠁⠃⠤⠎⠑⠏⠁⠗⠁⠞⠑⠙⠤⠧⠁⠇⠥⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠎⠍⠰⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠁⠎⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠎⠑⠞⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠞⠍⠇⠎⠰⠎⠓⠞⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠎⠎⠊⠤⠓⠞⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠊⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠥⠊⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠁⠞⠑⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠇⠁⠞⠑⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠥⠥⠑⠝⠉⠕⠙⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠑⠰⠍⠏⠑⠛⠰⠍⠏⠛⠰⠍⠏⠑⠰⠍⠏⠑⠛⠰⠍⠏⠛⠰⠍⠆⠧⠰⠍⠂⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠍⠏⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠕⠧⠰⠟⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠟⠥⠊⠉⠅⠞⠊⠍⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠚⠏⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠕⠞⠊⠕⠝⠤⠚⠏⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠧⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠎⠧⠊⠙⠑⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠕⠧⠊⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠎⠛⠊⠤⠍⠕⠧⠊⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠡⠰⠡⠨⠡
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠺⠺⠺⠌⠥⠝⠅⠝⠕⠺⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠎⠇⠰⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠥⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠵⠊⠇⠇⠁⠨⠭⠥⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠍⠎⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠇⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠊⠉⠗⠕⠛⠗⠁⠋⠭⠨⠋⠇⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠒⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠵⠝⠤⠒⠙⠤⠉⠗⠕⠎⠎⠺⠕⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠉⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠑⠙⠊⠁⠎⠑⠗⠧⠑⠗⠉⠕⠝⠞⠗⠕⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠇⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠏⠤⠚⠇⠽⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠞⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠧⠝⠙⠨⠛⠞⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠁⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠙⠁⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠵⠁⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠵⠵⠁⠵⠵⠨⠙⠑⠉⠅⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠺⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠗⠎⠨⠉⠺⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠋⠙⠤⠓⠙⠎⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠽⠙⠗⠕⠎⠞⠁⠞⠊⠭⠨⠎⠕⠋⠤⠙⠁⠞⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠋⠍⠰⠁⠋⠍⠰⠏⠋⠁⠰⠏⠋⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠞⠽⠏⠑⠂
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠏⠋⠊⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠊⠏⠋⠊⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠑⠛⠊⠝⠋⠕⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠉⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠧⠉⠁⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠭⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠉⠁⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠏⠛⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠏⠤⠓⠏⠛⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠛⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠛⠇⠕⠁⠙⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠚⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠗⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠙⠗⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠁⠅⠑⠗⠰⠋⠍⠰⠃⠕⠕⠅⠰⠋⠗⠁⠍⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠗⠁⠍⠑⠍⠁⠅⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠥⠎⠰⠎⠥⠎⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠎⠤⠉⠁⠇⠑⠝⠙⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠉⠍⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠑⠉⠍⠁⠎⠉⠗⠊⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠇⠎⠤⠎⠑⠗⠧⠊⠉⠑⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠒⠰⠍⠏⠆⠁⠰⠍⠒⠁⠰⠍⠆⠁⠰⠍⠏⠛⠁⠰⠍⠏⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠍⠏⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠍⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠓⠊⠏⠝⠥⠞⠎⠨⠅⠁⠗⠁⠕⠅⠑⠤⠍⠍⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠉⠍⠰⠊⠉⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠉⠉⠏⠗⠕⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠕⠞⠥⠎⠤⠝⠕⠞⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠗⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠁⠗⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠊⠎⠭⠰⠎⠊⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠽⠍⠃⠊⠁⠝⠨⠊⠝⠎⠞⠁⠇⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠍⠍⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠑⠍⠍⠁⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠺⠁⠏⠨⠺⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠉⠑⠇⠏⠔⠖⠴⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠝⠥⠑⠗⠁⠨⠑⠉⠑⠇⠏⠔⠖⠴⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠺⠊⠝⠓⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠋⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠊⠉⠎⠑⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠞⠕⠍⠉⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠁⠞⠕⠍⠉⠁⠞⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠓⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠓⠑⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠎⠛⠊⠨⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠉⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠏⠤⠏⠉⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠗⠁⠗⠤⠉⠕⠍⠏⠗⠑⠎⠎⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠊⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠧⠊⠎⠊⠕⠝⠁⠗⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠲⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠋⠲⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠞⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠏⠗⠎⠨⠃⠞⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠏⠗⠰⠅⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠏⠗⠑⠎⠑⠝⠞⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠕⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠞⠁⠗⠙⠊⠧⠊⠎⠊⠕⠝⠨⠺⠗⠊⠞⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠞⠎⠓⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠙⠞⠎⠨⠓⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠕⠝⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠒⠙⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠊⠝⠒⠙⠨⠒⠙⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠁⠊⠇⠊⠝⠛⠞⠗⠁⠉⠅⠑⠗⠨⠞⠗⠁⠉⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠏⠊⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠏⠤⠓⠏⠊⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠵⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠊⠗⠵⠊⠏⠨⠋⠊⠇⠑⠎⠑⠉⠥⠗⠑⠨⠁⠵⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠉⠂
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠑⠙⠉⠁⠇⠉⠙⠁⠞⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠞⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠧⠝⠙⠨⠧⠞⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠎⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠺⠎⠙⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠛⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠕⠛⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠋⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠗⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠞⠗⠥⠑⠁⠏⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠏⠍⠰⠚⠏⠛⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠚⠏⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠵⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠊⠗⠵⠊⠏⠨⠋⠊⠇⠑⠎⠑⠉⠥⠗⠑⠨⠁⠵⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠑⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠥⠙⠊⠕⠛⠗⠁⠏⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠕⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠗⠑⠧⠊⠑⠺⠎⠽⠎⠞⠑⠍⠎⠨⠃⠕⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠏⠔
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠇⠕⠁⠝⠞⠕⠨⠗⠏⠔
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠝⠞⠊⠭⠨⠛⠁⠍⠑⠤⠉⠕⠍⠏⠕⠝⠑⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠚⠁⠧⠁⠤⠎⠑⠗⠊⠁⠇⠊⠵⠑⠙⠤⠕⠃⠚⠑⠉⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠉⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠏⠉⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠏⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠞⠕⠕⠇⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠁⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠞⠎⠥⠨⠕⠁⠎⠽⠎⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠁⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠞⠎⠥⠨⠕⠁⠎⠽⠎⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠗⠑⠁⠇⠧⠝⠉⠨⠃⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠧⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠧⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠏⠟
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠉⠧⠏⠤⠧⠏⠤⠗⠑⠟⠥⠑⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠁⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠁⠥⠞⠓⠕⠗⠺⠁⠗⠑⠤⠎⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠙⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠭⠤⠉⠕⠝⠋⠑⠗⠑⠝⠉⠑⠌⠭⠤⠉⠕⠕⠇⠞⠁⠇⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠍⠊⠇⠰⠎⠍⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠍⠊⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠧⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠓⠧⠤⠧⠕⠊⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠓⠰⠉⠉⠰⠉⠏⠏⠰⠉⠭⠭⠰⠉⠰⠓⠰⠙⠊⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠏⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠓⠁⠝⠁⠨⠊⠝⠋⠕⠗⠍⠑⠙⠨⠏⠁⠉⠅⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠊⠍⠁⠛⠑⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠊⠍⠑⠰⠑⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠑⠎⠎⠁⠛⠑⠌⠗⠋⠉⠦⠆⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠗⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠊⠉⠎⠤⠗⠥⠇⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠁⠏⠏⠇⠊⠭⠺⠁⠗⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠕⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠝⠇⠊⠧⠑⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠙⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠧⠁⠙⠊⠛⠍⠨⠑⠙⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠆⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠕⠏⠇⠁⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠤⠺⠍⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠤⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠇⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠒⠛⠏⠏⠨⠏⠊⠉⠤⠃⠺⠤⠇⠁⠗⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠗⠇⠰⠧⠗⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠧⠗⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠁⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠁⠺⠁⠁⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠁⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠚⠁⠧⠁⠤⠧⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠃⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠇⠁⠍⠁⠛⠗⠁⠏⠓⠊⠉⠎⠨⠇⠊⠋⠑⠤⠃⠁⠇⠁⠝⠉⠑⠨⠑⠭⠉⠓⠁⠝⠛⠑⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠙⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠧⠁⠙⠊⠛⠍⠨⠑⠙⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠝⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠍⠕⠝⠑⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠋⠁⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠗⠑⠁⠍⠋⠁⠉⠞⠕⠗⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠒⠛⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠒⠛⠏⠏⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠇⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠁⠏⠨⠺⠍⠇⠎⠉⠗⠊⠏⠞⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠎⠉⠨⠺⠑⠃⠇⠁⠥⠝⠉⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠏⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠎⠍⠁⠋⠤⠏⠓⠗⠁⠎⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠏⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠉⠧⠏⠤⠧⠏⠤⠗⠑⠎⠏⠕⠝⠎⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠤⠺⠍⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠙⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠞⠁⠗⠙⠊⠧⠊⠎⠊⠕⠝⠨⠙⠗⠁⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠝⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠃⠇⠑⠝⠑⠞⠤⠎⠑⠁⠇⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠝⠥⠍⠑⠗⠊⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠛⠝⠥⠍⠑⠗⠊⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠟⠎⠰⠛⠟⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠁⠋⠑⠟
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠗⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠇⠗⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠎⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠎⠏⠗⠑⠁⠙⠎⠓⠑⠑⠞⠍⠇⠨⠎⠓⠑⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠝⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠃⠇⠑⠝⠑⠞⠤⠙⠊⠗⠑⠉⠞⠕⠗⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠍⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠞⠍⠕⠃⠊⠇⠑⠤⠇⠊⠧⠑⠞⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠛⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠗⠕⠞⠑⠥⠎⠨⠍⠁⠛⠁⠵⠊⠝⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠒⠛⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠒⠛⠏⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠇⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠑⠎⠕⠥⠗⠉⠑⠤⠇⠊⠎⠞⠎⠤⠙⠊⠋⠋⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠂⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠉⠎⠂⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠋⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠏⠕⠞⠋⠊⠗⠑⠨⠎⠋⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠞⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠑⠃⠞⠥⠗⠃⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠉⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠉⠙⠇⠊⠝⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠓⠞⠍⠇⠰⠭⠓⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠓⠞⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠙⠅⠍⠰⠎⠙⠅⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠕⠇⠑⠝⠞⠨⠎⠙⠅⠍⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠉⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠞⠃⠝⠉⠭⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠍⠎⠤⠺⠍⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠓⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠓⠞⠍⠇⠓⠑⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠧⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠓⠧⠤⠎⠉⠗⠊⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠁⠞⠉⠓⠤⠕⠏⠎⠤⠑⠗⠗⠕⠗⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠞⠑⠭⠞⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠭⠁⠗⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠋⠙⠰⠥⠋⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠥⠋⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠟⠏⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠥⠃⠇⠊⠎⠓⠁⠗⠑⠤⠙⠑⠇⠞⠁⠤⠞⠗⠑⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠉⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠧⠉⠁⠇⠑⠝⠙⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠛⠗⠁⠏⠓⠧⠊⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠎⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠕⠺⠑⠗⠏⠕⠊⠝⠞⠨⠎⠇⠊⠙⠑⠎⠓⠕⠺⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠶⠶⠰⠋⠰⠋⠕⠗⠰⠋⠔⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠋⠕⠗⠞⠗⠁⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠙⠋⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠃⠉⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠃⠉⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠭⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠍⠁⠞⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠏⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠕⠗⠙⠏⠑⠗⠋⠑⠉⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠇⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠇⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠕⠉⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠺⠕⠗⠙⠨⠙⠕⠉⠥⠍⠑⠝⠞⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠍⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠉⠍⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠉⠑⠇⠏⠶⠲⠶⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠝⠥⠑⠗⠁⠨⠑⠉⠑⠇⠏⠶⠲⠶⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠕⠏⠑⠝⠎⠉⠕⠗⠑⠋⠕⠗⠍⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠍⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠊⠍⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠉⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠒⠛⠏⠏⠆⠨⠞⠉⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠑⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠃⠥⠎⠊⠝⠑⠎⠎⠕⠃⠚⠑⠉⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠍⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠋⠥⠚⠊⠭⠑⠗⠕⠭⠨⠑⠙⠍⠊⠉⠎⠤⠍⠍⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠗⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠗⠑⠏⠕⠎⠊⠞⠕⠗⠽⠨⠏⠁⠉⠅⠁⠛⠑⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠏⠎⠕⠝⠨⠍⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠽⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠍⠎⠤⠏⠇⠁⠽⠗⠑⠁⠙⠽⠨⠍⠑⠙⠊⠁⠨⠏⠽⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠁⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠉⠍⠥⠤⠗⠁⠎⠞⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠗⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠗⠛⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠎⠋⠏⠧⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠕⠏⠑⠝⠎⠉⠕⠗⠑⠋⠕⠗⠍⠁⠞⠨⠕⠎⠋⠏⠧⠛⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠎⠞⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠥⠎⠞⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠗⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠞⠑⠗⠍⠊⠝⠁⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠎⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠕⠍⠍⠕⠝⠎⠏⠁⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠋⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠋⠕⠗⠍⠥⠇⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠉⠉⠏⠁⠉⠨⠎⠊⠍⠏⠇⠽⠨⠊⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠙⠁⠞⠁⠃⠁⠎⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠃⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠗⠊⠞⠊⠉⠁⠇⠞⠕⠕⠇⠎⠨⠺⠃⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠓⠽⠏⠑⠗⠎⠞⠥⠙⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠭⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠺⠗⠊⠞⠑⠗⠨⠛⠇⠕⠃⠁⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠊⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠙⠊⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠺⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠧⠝⠙⠨⠙⠺⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠉⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠎⠉⠓⠑⠙⠥⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠙⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠍⠁⠨⠙⠙⠆⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠓⠰⠎⠊⠇⠕⠰⠍⠑⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠍⠑⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠟⠁⠰⠕⠏⠗⠉⠰⠏⠙⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠁⠇⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠁⠃⠰⠥⠒⠆⠰⠭⠒⠆⠰⠧⠕⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠁⠥⠞⠓⠕⠗⠺⠁⠗⠑⠤⠃⠊⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠉⠟
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠉⠧⠏⠤⠉⠧⠤⠗⠑⠟⠥⠑⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠁⠝⠙⠗⠑⠺⠤⠊⠝⠎⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠭⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠗⠑⠉⠕⠗⠙⠁⠗⠑⠨⠍⠥⠎⠊⠉⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠃⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠁⠃⠊⠺⠕⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠉⠏⠗⠕⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠏⠥⠝⠏⠇⠥⠛⠛⠑⠙⠨⠗⠉⠏⠗⠕⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠕⠞⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠕⠺⠑⠗⠏⠕⠊⠝⠞⠨⠞⠑⠍⠏⠇⠁⠞⠑⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠁⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠞⠁⠕⠨⠊⠝⠞⠑⠝⠞⠤⠍⠕⠙⠥⠇⠑⠤⠁⠗⠉⠓⠊⠧⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠙⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠉⠓⠑⠍⠊⠉⠁⠇⠌⠭⠤⠉⠙⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠓⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠉⠓⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠎⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠑⠭⠉⠑⠇⠨⠎⠓⠑⠑⠞⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠞⠰⠭⠇⠺⠰⠭⠇⠍⠰⠭⠇⠁⠰⠭⠇⠉⠰⠭⠇⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠑⠭⠉⠑⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠽⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠧⠝⠙⠨⠍⠎⠤⠏⠇⠁⠽⠗⠑⠁⠙⠽⠨⠍⠑⠙⠊⠁⠨⠏⠽⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠍⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠕⠎⠍⠕⠉⠁⠇⠇⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠎⠤⠺⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠞⠨⠎⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠙⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠭⠑⠗⠕⠭⠨⠙⠕⠉⠥⠺⠕⠗⠅⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠲⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠍⠏⠲
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠏⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠝⠙⠗⠕⠊⠙⠨⠏⠁⠉⠅⠁⠛⠑⠤⠁⠗⠉⠓⠊⠧⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠞⠉⠰⠁⠉⠥⠞⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠉⠥⠉⠕⠗⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠛⠒⠋⠁⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠺⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠙⠺⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠗⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠃⠍⠨⠗⠊⠛⠓⠞⠎⠤⠍⠁⠝⠁⠛⠑⠍⠑⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠵⠆⠰⠃⠕⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠃⠵⠊⠏⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠝⠑⠰⠅⠝⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠊⠝⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠑⠎⠕⠥⠗⠉⠑⠤⠇⠊⠎⠞⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠋⠕⠗⠍⠥⠇⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠞⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠕⠺⠑⠗⠏⠕⠊⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠵⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠍⠁⠵⠕⠝⠨⠑⠃⠕⠕⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠍⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠑⠍⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠞⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠇⠥⠭⠞⠊⠍⠑⠨⠉⠇⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠅⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠗⠊⠉⠅⠨⠉⠇⠊⠉⠅⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠍⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠑⠍⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠝⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠚⠁⠧⠁⠤⠚⠝⠇⠏⠤⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠍⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠑⠍⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠵⠍⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠁⠝⠙⠓⠑⠇⠙⠤⠑⠝⠞⠑⠗⠞⠁⠊⠝⠍⠑⠝⠞⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠉⠓⠁⠗⠞⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠂⠲⠰⠍⠧⠃⠰⠍⠂⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠍⠑⠙⠊⠁⠧⠊⠑⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠇⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠋⠇⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠁⠞⠓⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠁⠞⠓⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠃⠵⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠏⠕⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠊⠝⠒⠙⠨⠎⠏⠕⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠭⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠙⠭⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠞⠑⠭⠞⠤⠍⠁⠎⠞⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠞⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠍⠇⠤⠙⠞⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠎⠏⠗⠑⠁⠙⠎⠓⠑⠑⠞⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠃⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠭⠑⠗⠕⠭⠨⠙⠕⠉⠥⠺⠕⠗⠅⠎⠨⠃⠊⠝⠙⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠞⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠑⠭⠉⠑⠇⠨⠞⠑⠍⠏⠇⠁⠞⠑⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠍⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠍⠊⠛⠁⠨⠁⠍⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠙⠗⠁⠺⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠉⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠧⠉⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠁⠥⠞⠓⠕⠗⠺⠁⠗⠑⠤⠍⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠧⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠒⠛⠏⠏⠨⠏⠊⠉⠤⠃⠺⠤⠧⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠇⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠕⠉⠅⠑⠞⠇⠑⠁⠗⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠏⠥⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠑⠏⠥⠃⠬⠵⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠎⠰⠏⠏⠞⠰⠏⠕⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠕⠺⠑⠗⠏⠕⠊⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠛⠎⠰⠊⠛⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠊⠛⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠇⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠺⠁⠏⠨⠺⠍⠇⠎⠉⠗⠊⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠓⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠉⠓⠁⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠉⠥⠗⠇⠨⠍⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠥⠗⠇⠨⠏⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠑⠸⠇⠁⠥⠝⠉⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠑⠝⠕⠧⠕⠨⠋⠉⠎⠑⠇⠁⠽⠕⠥⠞⠤⠇⠊⠝⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠏⠛⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠚⠏⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠕⠕⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠍⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠕⠕⠛⠇⠑⠤⠑⠁⠗⠞⠓⠨⠅⠍⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠵⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠵⠏⠊⠭⠤⠏⠁⠉⠅⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠰⠏⠁⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠏⠁⠎⠉⠁⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠎⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠙⠎⠎⠉⠬⠙⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠍⠊⠨⠺⠊⠙⠛⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠁⠗⠃⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠁⠗⠃⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠙⠎⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠙⠎⠎⠉⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠕⠊⠉⠑⠭⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠏⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠭⠏⠎⠙⠕⠉⠥⠍⠑⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠶⠍⠰⠏⠶⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠉⠎⠶⠤⠍⠊⠍⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠗⠉⠰⠍⠕⠃⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠕⠃⠊⠏⠕⠉⠅⠑⠞⠤⠑⠃⠕⠕⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠞⠃⠗⠑⠎⠕⠥⠗⠉⠑⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠝⠑⠞⠕⠉⠆⠰⠕⠝⠑⠞⠍⠏⠰⠕⠝⠑⠞⠕⠉⠰⠕⠝⠑⠏⠅⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠕⠝⠑⠝⠕⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠺⠗⠊⠞⠑⠗⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠙⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠞⠁⠗⠙⠊⠧⠊⠎⠊⠕⠝⠨⠉⠁⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠭⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠊⠍⠏⠗⠑⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠎⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠽⠝⠉⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠭⠊⠋⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠓⠧⠍⠇⠰⠍⠭⠍⠇⠰⠭⠧⠍⠇⠰⠭⠧⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠧⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠏⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠺⠏⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠉⠓⠑⠍⠊⠉⠁⠇⠌⠭⠤⠉⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠋⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠙⠕⠃⠑⠨⠭⠋⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠲⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠏⠲
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠝⠊⠞⠽⠺⠑⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠥⠝⠊⠞⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠒⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠕⠎⠏⠁⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠊⠙⠊⠰⠍⠊⠙⠰⠅⠁⠗⠰⠗⠍⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠍⠊⠙⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠃⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠕⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠙⠊⠛⠊⠞⠁⠇⠤⠺⠊⠝⠙⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠞⠕⠍⠎⠧⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠁⠞⠕⠍⠎⠧⠉⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠊⠎⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠚⠊⠎⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠇⠙⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠕⠺⠑⠗⠏⠕⠊⠝⠞⠨⠎⠇⠊⠙⠑⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠎⠤⠺⠍⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠎⠤⠺⠍⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠃⠍⠨⠎⠑⠉⠥⠗⠑⠤⠉⠕⠝⠞⠁⠊⠝⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠅⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠗⠊⠉⠅⠨⠉⠇⠊⠉⠅⠑⠗⠨⠅⠑⠽⠃⠕⠁⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠎⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠕⠙⠁⠅⠤⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠉⠑⠇⠏⠲⠦⠴⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠝⠥⠑⠗⠁⠨⠑⠉⠑⠇⠏⠲⠦⠴⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠉⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠧⠉⠁⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠏⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠕⠑⠃⠏⠎⠤⠏⠁⠉⠅⠁⠛⠑⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠛⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠉⠛⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠋⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠭⠋⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠎⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠑⠭⠉⠑⠇⠨⠎⠓⠑⠑⠞⠨⠃⠊⠝⠁⠗⠽⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠞⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠞⠃⠕⠕⠅⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠋⠃⠰⠊⠉⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠉⠁⠇⠑⠝⠙⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠍⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠍⠁⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠵⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠵⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠎⠥⠝⠨⠚⠆⠍⠑⠨⠁⠏⠏⠤⠙⠑⠎⠉⠗⠊⠏⠞⠕⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠺⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠋⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠉⠇⠭⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠏⠤⠏⠉⠇⠭⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠺⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠓⠕⠉⠅⠺⠁⠧⠑⠤⠋⠇⠁⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠉⠥⠤⠎⠑⠑⠍⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠃⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠍⠃⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠉⠥⠗⠇⠨⠙⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠎⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝⠍⠇⠨⠎⠇⠊⠙⠑⠎⠓⠕⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠁⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠁⠁⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠇⠙⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝⠍⠇⠨⠎⠇⠊⠙⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠧⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠓⠧⠤⠙⠊⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠛⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠕⠛⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠉⠍⠰⠺⠙⠃⠰⠺⠏⠎⠰⠺⠅⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠺⠕⠗⠅⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠇⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠏⠎⠕⠝⠨⠎⠁⠇⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠑⠃⠰⠥⠙⠑⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠑⠃⠊⠁⠝⠤⠏⠁⠉⠅⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠺⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠗⠊⠎⠞⠁⠝⠑⠞⠺⠕⠗⠅⠎⠨⠎⠺⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠅⠊⠨⠎⠞⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠧⠝⠙⠨⠛⠙⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠃⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠤⠭⠃⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠓⠑⠨⠇⠑⠎⠎⠕⠝⠤⠏⠇⠁⠽⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠇⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠋⠍⠊⠨⠋⠇⠑⠭⠎⠞⠕⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠊⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠞⠥⠋⠋⠊⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠛⠗⠁⠏⠓⠊⠉⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠕⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠋⠕⠝⠞⠕⠃⠚⠑⠉⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠏⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠅⠊⠁⠨⠗⠁⠙⠊⠕⠤⠏⠗⠑⠎⠑⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠕⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝⠍⠇⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠆⠖⠂
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠓⠆⠖⠂
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠆⠖⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠓⠆⠖⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠆⠖⠲
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠓⠆⠖⠲
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠏⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠅⠊⠁⠨⠗⠁⠙⠊⠕⠤⠏⠗⠑⠎⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠕⠝⠞⠕⠥⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠕⠞⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠺⠕⠗⠙⠨⠞⠑⠍⠏⠇⠁⠞⠑⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠎⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠉⠎⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠞⠗⠑⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠑⠞⠤⠗⠑⠛⠊⠎⠞⠗⠁⠞⠊⠕⠝⠤⠊⠝⠊⠞⠊⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠞⠊⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠧⠊⠨⠏⠞⠊⠙⠂
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠕⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠕⠏⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠎⠏⠗⠑⠁⠙⠎⠓⠑⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠊⠇⠧⠑⠗⠇⠊⠛⠓⠞⠤⠁⠏⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠉⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠏⠉⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠥⠎⠊⠉⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠗⠑⠉⠕⠗⠙⠁⠗⠑⠨⠍⠥⠎⠊⠉⠭⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠅⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠗⠊⠉⠅⠨⠉⠇⠊⠉⠅⠑⠗⠨⠺⠕⠗⠙⠃⠁⠝⠅
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠙⠃⠉⠍⠎⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠕⠝⠞⠁⠉⠞⠨⠉⠍⠎⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠎⠇⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠎⠇⠞⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠉⠓⠑⠍⠊⠉⠁⠇⠌⠭⠤⠉⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠕⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠺⠕⠗⠙⠏⠗⠕⠉⠑⠎⠎⠊⠝⠛⠍⠇⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠁⠏⠨⠺⠍⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠞⠉⠤⠏⠕⠎⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠕⠗⠗⠑⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠃⠊⠞⠞⠕⠗⠗⠑⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠺⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠒⠍⠨⠏⠕⠎⠞⠤⠊⠞⠤⠝⠕⠞⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠞⠑⠭⠞⠤⠺⠑⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠗⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠏⠁⠗⠟⠇⠤⠗⠑⠎⠥⠇⠞⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠛⠢
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠞⠎⠥⠨⠕⠁⠎⠽⠎⠛⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠟
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠏⠁⠗⠟⠇⠤⠟⠥⠑⠗⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠉⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠉⠉⠭⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠎⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠚⠎⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠙⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠽⠝⠉⠍⠇⠨⠙⠍⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠎⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠒⠛⠏⠏⠨⠏⠊⠉⠤⠃⠺⠤⠎⠍⠁⠇⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠑⠝⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠑⠝⠉⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠞⠏⠁⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠑⠞⠤⠏⠁⠽⠍⠑⠝⠞⠤⠊⠝⠊⠞⠊⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠏⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠭⠏⠊⠝⠎⠞⠁⠇⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠟⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠏⠎⠕⠝⠨⠟⠥⠊⠉⠅⠁⠝⠊⠍⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠍⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠍⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠁⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠞⠎⠥⠨⠕⠁⠎⠽⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠍⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠞⠁⠗⠙⠊⠧⠊⠎⠊⠕⠝⠨⠍⠁⠞⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠟⠃⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠝⠞⠥⠨⠟⠃⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠎⠏⠗⠑⠁⠙⠎⠓⠑⠑⠞⠍⠇⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠙⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠁⠉⠉⠑⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠁⠙⠏⠉⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠊⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠭⠋⠊⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠅⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠗⠊⠉⠅⠨⠉⠇⠊⠉⠅⠑⠗⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠏⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠑⠙⠰⠙⠁⠞⠁⠇⠑⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠙⠎⠝⠨⠎⠑⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠎⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠎⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠕⠋⠋⠊⠉⠑⠕⠗⠛⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠅⠍⠰⠎⠅⠏⠰⠎⠅⠞⠰⠎⠅⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠕⠁⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠺⠞⠰⠅⠺⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠺⠕⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠥⠗⠇⠨⠉⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠙⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠭⠑⠗⠕⠭⠨⠙⠙⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠒⠥⠦
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠏⠏⠇⠑⠨⠍⠏⠑⠛⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠃⠍⠨⠍⠊⠝⠊⠏⠁⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠚⠁⠧⠁⠤⠁⠗⠉⠓⠊⠧⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠁⠍⠰⠗⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠏⠝⠤⠗⠑⠁⠇⠁⠥⠙⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠉⠓⠁⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠎⠏⠕⠇⠊⠉⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠺⠎⠏⠕⠇⠊⠉⠽⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠇⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠊⠧⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠇⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠑⠥⠗⠕⠇⠁⠝⠛⠥⠁⠛⠑⠨⠝⠇⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠒⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠍⠏⠑⠛⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠓⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠓⠋⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠧⠝⠙⠨⠉⠥⠗⠇⠨⠎⠉⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠉⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠉⠥⠉⠕⠃⠕⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠍⠕⠙⠑⠇⠌⠧⠝⠙⠨⠍⠞⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠑⠇⠇⠕⠺⠗⠊⠧⠑⠗⠤⠉⠥⠎⠞⠕⠍⠤⠍⠑⠝⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠲⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠲⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠽⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠉⠓⠑⠍⠊⠉⠁⠇⠌⠭⠤⠭⠽⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠭⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠏⠕⠞⠋⠊⠗⠑⠨⠙⠭⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠁⠉⠤⠉⠕⠍⠏⠁⠉⠞⠏⠗⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠁⠧⠍⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠙⠁⠧⠍⠕⠥⠝⠞⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠛⠨⠋⠕⠗⠍⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠵⠊⠗⠰⠵⠊⠗⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠵⠥⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠛⠍⠇⠰⠎⠛⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠎⠛⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠇⠁⠽⠍⠕⠗⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠚⠆⠰⠍⠚⠏⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠍⠚⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠲⠙⠰⠉⠲⠥⠰⠉⠲⠋⠰⠉⠲⠛⠰⠉⠲⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠇⠕⠝⠅⠨⠉⠲⠛⠗⠕⠥⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠊⠍⠏⠗⠑⠎⠎⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠃⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠃⠊⠝⠙⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠝⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠑⠇⠁⠭⠤⠝⠛⠤⠉⠕⠍⠏⠁⠉⠞⠤⠎⠽⠝⠞⠁⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠕⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠥⠕⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠵⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠵⠏⠊⠭⠤⠁⠇⠃⠥⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠛⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠞⠁⠗⠙⠊⠧⠊⠎⠊⠕⠝⠨⠺⠗⠊⠞⠑⠗⠤⠛⠇⠕⠃⠁⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠗⠕⠛⠁⠝⠎⠨⠇⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠛⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠊⠉⠗⠕⠛⠗⠁⠋⠭⠨⠊⠛⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠑⠟
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠑⠟
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠵⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠵⠵⠽⠎⠓⠑⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠊⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠓⠁⠝⠁⠨⠊⠝⠋⠕⠗⠍⠑⠙⠨⠊⠝⠞⠑⠗⠉⠓⠁⠝⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠞⠕⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠁⠞⠕⠍⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠏⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠏⠛⠗⠁⠏⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠝⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠎⠝⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠥⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠏⠥⠃⠇⠊⠎⠓⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠊⠛⠰⠁⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠛⠏⠤⠎⠊⠛⠝⠁⠞⠥⠗⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠏⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠝⠑⠞⠤⠋⠏⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠟⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠟⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠉⠇⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠝⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠃⠇⠑⠝⠑⠞⠤⠺⠑⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠃⠇⠥⠑⠊⠉⠑⠨⠍⠥⠇⠞⠊⠏⠁⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠰⠍⠎⠰⠍⠑⠰⠍⠁⠝⠰⠗⠕⠋⠋⠰⠞⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠞⠗⠕⠋⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠧⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠧⠝⠙⠨⠇⠥⠉⠑⠝⠞⠨⠧⠕⠊⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠏⠎⠕⠝⠨⠑⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠏⠉⠰⠏⠶⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠏⠅⠉⠎⠶⠤⠉⠑⠗⠞⠊⠋⠊⠉⠁⠞⠑⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠕⠉⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠺⠕⠗⠙⠏⠗⠕⠉⠑⠎⠎⠊⠝⠛⠍⠇⠨⠙⠕⠉⠥⠍⠑⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠇⠏⠉⠤⠎⠥⠛⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠧⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠎⠤⠺⠧⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠎⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠙⠑⠨⠅⠎⠏⠗⠑⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠭⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠭⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠟⠋⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠝⠞⠥⠨⠟⠋⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠭⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠞⠭⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠅⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠊⠭⠉⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠋⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠋⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠤⠛⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠅⠊⠁⠨⠝⠤⠛⠁⠛⠑⠨⠎⠽⠍⠃⠊⠁⠝⠨⠊⠝⠎⠞⠁⠇⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠎⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠉⠓⠑⠍⠊⠉⠁⠇⠌⠭⠤⠉⠎⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠑⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠙⠎⠝⠨⠍⠎⠑⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠧⠁⠙⠊⠛⠍⠨⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠃⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠺⠁⠏⠨⠺⠃⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠅⠊⠏⠁⠞⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠊⠭⠤⠏⠅⠊⠏⠁⠞⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠁⠧⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠭⠤⠚⠁⠧⠁⠤⠎⠕⠥⠗⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠎⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠁⠙⠕⠃⠑⠨⠏⠓⠕⠞⠕⠎⠓⠕⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠭⠥⠰⠍⠲⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠧⠝⠙⠨⠍⠏⠑⠛⠥⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠉⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠉⠧⠏⠤⠉⠧⠤⠗⠑⠎⠏⠕⠝⠎⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠏⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠎⠤⠭⠏⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠗⠑⠰⠛⠑⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠕⠍⠑⠞⠗⠽⠤⠑⠭⠏⠇⠕⠗⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠇⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠋⠇⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠭⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠙⠗⠁⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠙⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠓⠑⠍⠙⠗⠁⠺⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠗⠇⠎⠰⠥⠗⠊⠎⠰⠥⠗⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠥⠗⠊⠤⠇⠊⠎⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠕⠍⠰⠑⠭⠑⠰⠍⠎⠊⠰⠙⠇⠇⠰⠃⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠙⠕⠺⠝⠇⠕⠁⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠙⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠁⠞⠁⠤⠧⠊⠎⠊⠕⠝⠨⠗⠙⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠉⠁⠗⠙⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠇⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠋⠇⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠑⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠑⠑⠍⠁⠊⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠕⠎⠞⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠇⠕⠎⠞⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠎⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠎⠙⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠞⠰⠍⠏⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠗⠕⠚⠑⠉⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠃⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠋⠁⠎⠞⠃⠊⠙⠎⠓⠑⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠺⠙⠰⠞⠺⠙⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠊⠍⠞⠑⠉⠓⠤⠍⠊⠝⠙⠍⠁⠏⠏⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠶⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠏⠅⠉⠎⠶⠤⠉⠑⠗⠞⠗⠑⠟⠗⠑⠎⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠝⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠝⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠃⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠃⠍⠇⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠊⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠝⠎⠑⠗⠤⠺⠑⠃⠤⠉⠑⠗⠞⠊⠋⠊⠉⠁⠞⠑⠤⠊⠎⠎⠥⠑⠤⠊⠝⠊⠞⠊⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠕⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠗⠊⠍⠨⠉⠕⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠃⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠁⠏⠨⠺⠃⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠃⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠺⠕⠇⠋⠗⠁⠍⠨⠏⠇⠁⠽⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠗⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠊⠝⠚⠑⠉⠞⠕⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠞⠑⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠛⠙⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠝⠕⠅⠊⠁⠨⠝⠤⠛⠁⠛⠑⠨⠙⠁⠞⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠞⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠏⠑⠝⠭⠍⠇⠋⠕⠗⠍⠁⠞⠎⠤⠕⠋⠋⠊⠉⠑⠙⠕⠉⠥⠍⠑⠝⠞⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝⠍⠇⠨⠏⠗⠑⠎⠑⠝⠞⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠏⠓⠥⠝⠨⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠍⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠚⠉⠏⠨⠚⠁⠧⠁⠍⠑⠨⠍⠊⠙⠇⠑⠞⠤⠗⠍⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠞⠉⠰⠞⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠞⠞⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠍⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠉⠓⠑⠍⠊⠉⠁⠇⠌⠭⠤⠉⠍⠙⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠃⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠕⠺⠑⠗⠃⠥⠊⠇⠙⠑⠗⠖
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠇⠊⠝⠥⠭⠤⠏⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠁⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠽⠁⠍⠁⠓⠁⠨⠎⠍⠁⠋⠤⠁⠥⠙⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠋⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠞⠑⠭⠤⠞⠋⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠕⠗⠞⠏⠅⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠁⠉⠏⠕⠗⠞⠎⠨⠏⠕⠗⠞⠏⠅⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠙⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠊⠝⠙⠑⠗⠑⠇⠇⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠍⠚
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠥⠍⠁⠚⠊⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠧⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠍⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠏⠝⠤⠗⠑⠁⠇⠁⠥⠙⠊⠕⠤⠏⠇⠥⠛⠊⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠊⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠊⠙⠎⠏⠊⠗⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠟⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠁⠉⠤⠃⠊⠝⠓⠑⠭⠲⠴
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠕⠉⠰⠙⠕⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠎⠺⠕⠗⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠙⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠙⠕⠃⠑⠨⠭⠙⠏⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠞⠁⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠞⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠓⠁⠝⠁⠨⠊⠝⠋⠕⠗⠍⠑⠙⠨⠋⠕⠗⠍⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠁⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠭⠤⠍⠎⠤⠺⠁⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠇⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠑⠭⠉⠑⠇⠨⠁⠙⠙⠊⠝⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠊⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠙⠕⠃⠑⠨⠁⠊⠗⠤⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠤⠊⠝⠎⠞⠁⠇⠇⠑⠗⠤⠏⠁⠉⠅⠁⠛⠑⠬⠵⠊⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠶⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠉⠎⠶⠤⠎⠊⠛⠝⠁⠞⠥⠗⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠊⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠁⠗⠞⠛⠁⠇⠗⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠛⠲⠰⠍⠏⠲⠰⠍⠏⠲⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠍⠏⠲
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠙⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠽⠝⠉⠍⠇⠨⠙⠍⠬⠺⠃⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠏⠎⠕⠝⠨⠎⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠛⠙⠰⠙⠉⠗⠰⠉⠉⠞⠰⠉⠎⠞⠰⠺⠒⠙⠰⠎⠺⠁⠰⠙⠊⠗⠰⠙⠭⠗⠰⠉⠭⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠙⠊⠗⠑⠉⠞⠕⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠛⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠕⠛⠑⠃⠗⠁⠨⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠋⠥⠚⠊⠭⠑⠗⠕⠭⠨⠑⠙⠍⠊⠉⠎⠤⠗⠇⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠊⠎⠞⠒⠦⠆⠴⠰⠁⠋⠏⠰⠇⠊⠎⠞⠁⠋⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠃⠍⠨⠍⠕⠙⠉⠁⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠝⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠗⠕⠛⠁⠝⠎⠨⠋⠝⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠕⠝⠞⠤⠛⠓⠕⠎⠞⠎⠉⠗⠊⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠥⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠥⠎⠊⠉⠊⠁⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠝⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠏⠝⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠭⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠝⠕⠍⠁⠞⠊⠭⠨⠞⠥⠭⠑⠙⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠙⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠍⠎⠤⠍⠕⠙⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠞⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠉⠁⠇⠉⠨⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠍⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠍⠑⠞⠁⠋⠊⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠏⠓⠥⠝⠨⠉⠑⠗⠞⠊⠋⠊⠉⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠍⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠃⠍⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠛⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠑⠕⠛⠑⠃⠗⠁⠨⠞⠕⠕⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠞⠗⠊⠙⠨⠞⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠋⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠓⠁⠝⠁⠨⠊⠝⠋⠕⠗⠍⠑⠙⠨⠋⠕⠗⠍⠙⠁⠞⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠝⠃⠰⠍⠁⠰⠍⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠁⠞⠓⠑⠍⠁⠞⠊⠉⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠎⠎⠰⠧⠎⠞⠰⠧⠎⠙⠰⠧⠎⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠧⠊⠎⠊⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠋⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠋⠕⠗⠍⠥⠇⠁⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠟⠭⠇⠰⠟⠭⠃⠰⠟⠭⠞⠰⠟⠭⠙⠰⠟⠺⠞⠰⠟⠺⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠟⠥⠁⠗⠅⠨⠟⠥⠁⠗⠅⠭⠏⠗⠑⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠚⠁⠧⠁⠎⠉⠗⠊⠏⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠉⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠉⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠙⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠞⠁⠗⠙⠊⠧⠊⠎⠊⠕⠝⠨⠊⠍⠏⠗⠑⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠏⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠇⠕⠛⠗⠁⠏⠓⠊⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠉⠞⠰⠏⠊⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠏⠊⠉⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠁⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠕⠺⠑⠗⠏⠕⠊⠝⠞⠨⠁⠙⠙⠊⠝⠨⠍⠁⠉⠗⠕⠑⠝⠁⠃⠇⠑⠙⠨⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠞⠒⠰⠑⠎⠒
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠎⠵⠊⠛⠝⠕⠒⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠭⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠞⠗⠊⠎⠉⠁⠏⠑⠨⠍⠭⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠗⠝⠤⠗⠑⠁⠇⠍⠑⠙⠊⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠞⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠛⠗⠁⠏⠓⠊⠉⠎⠤⠞⠑⠍⠏⠇⠁⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠎⠏⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠎⠏⠋⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠃⠕⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠍⠃⠕⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠗⠎⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠗⠎⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠺⠗⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠍⠎⠺⠗⠊⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠞⠅⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠑⠝⠁⠍⠑⠁⠁⠏⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠉⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠍⠑⠗⠊⠉⠁⠝⠙⠽⠝⠁⠍⠊⠉⠎⠨⠁⠉⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠊⠭⠤⠉⠑⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠑⠊⠖
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠏⠛⠨⠕⠎⠁⠎⠇⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠊⠝⠅⠖⠖
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠗⠕⠥⠞⠑⠖⠖⠨⠇⠊⠝⠅⠖⠖⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠭⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠥⠝⠨⠭⠍⠇⠨⠺⠗⠊⠞⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠎⠞⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠥⠧⠑⠑⠨⠎⠞⠽⠇⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠎⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠉⠉⠏⠁⠉⠨⠎⠊⠍⠏⠇⠽⠨⠁⠎⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠧⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠍⠍⠑⠗⠧⠊⠎⠊⠕⠝⠤⠊⠧⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠛⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠉⠓⠑⠎⠎⠤⠏⠛⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠥⠞⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠥⠊⠟⠨⠞⠓⠑⠍⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠞⠵⠰⠅⠞⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠅⠁⠓⠕⠕⠞⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠧⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠍⠍⠑⠗⠧⠊⠎⠊⠕⠝⠤⠊⠧⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠁⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠑⠉⠕⠺⠊⠝⠨⠉⠓⠁⠗⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠧⠛⠰⠎⠧⠛⠵
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠎⠧⠛⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠏⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠋⠥⠞⠥⠗⠑⠎⠏⠇⠁⠎⠓
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠧⠊⠧
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠧⠝⠙⠨⠧⠊⠧⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠞⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠞⠕⠕⠇⠤⠍⠑⠎⠎⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠓⠉⠰⠋⠓⠲⠰⠋⠓⠰⠋⠓⠢⠰⠋⠓⠶
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠋⠗⠑⠑⠓⠁⠝⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠓⠏⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠓⠏⠤⠓⠏⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠇⠃⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠇⠇⠁⠍⠁⠛⠗⠁⠏⠓⠊⠉⠎⠨⠇⠊⠋⠑⠤⠃⠁⠇⠁⠝⠉⠑⠨⠙⠑⠎⠅⠞⠕⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠑⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠽⠝⠁⠛⠑⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠎⠊⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠎⠞⠥⠋⠋⠊⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠏⠅⠊⠨⠎⠑⠉⠉⠁⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠎⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠞⠑⠭⠞⠌⠏⠗⠎⠨⠇⠊⠝⠑⠎⠨⠞⠁⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠧⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠧⠝⠙⠨⠋⠧⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠟⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠕⠃⠊⠥⠎⠨⠍⠟⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠛⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠛⠏⠤⠑⠝⠉⠗⠽⠏⠞⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠇⠅⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠗⠊⠉⠅⠨⠉⠇⠊⠉⠅⠑⠗⠨⠏⠁⠇⠑⠞⠞⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠛⠁⠰⠎⠏⠭⠰⠕⠛⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠥⠙⠊⠕⠌⠕⠛⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠎⠋⠰⠁⠎⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠧⠊⠙⠑⠕⠌⠭⠤⠍⠎⠤⠁⠎⠋
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠏⠅⠊⠭⠤⠉⠗⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠙⠕⠇⠃⠽⠨⠍⠇⠏
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠃⠓⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠋⠥⠚⠊⠞⠎⠥⠨⠕⠁⠎⠽⠎⠏⠗⠎
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠁⠉⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠁⠉⠑⠤⠉⠕⠍⠏⠗⠑⠎⠎⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠂⠆⠰⠏⠋⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠭⠤⠏⠅⠉⠎⠂⠆
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠙⠅⠑⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠑⠙⠊⠁⠎⠞⠁⠞⠊⠕⠝⠨⠉⠙⠅⠑⠽
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠊⠉⠕
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠭⠤⠊⠉⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠊⠍
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠊⠙⠑⠝⠞⠊⠞⠽⠤⠍⠑⠎⠎⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠞⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠝⠎⠑⠗⠤⠺⠑⠃⠤⠋⠥⠝⠙⠎⠤⠞⠗⠁⠝⠎⠋⠑⠗⠤⠊⠝⠊⠞⠊⠁⠞⠊⠕⠝
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠏⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠉⠥⠏⠎⠤⠏⠏⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠏⠋⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠋⠕⠝⠞⠤⠞⠙⠏⠋⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠉⠁⠃
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠍⠎⠤⠉⠁⠃⠤⠉⠕⠍⠏⠗⠑⠎⠎⠑⠙
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠭⠏⠭⠰⠭⠏⠺
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠊⠝⠞⠑⠗⠉⠕⠝⠨⠋⠕⠗⠍⠝⠑⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠗⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠎⠗⠛⠎⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠕⠙⠊
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠕⠁⠎⠊⠎⠨⠕⠏⠑⠝⠙⠕⠉⠥⠍⠑⠝⠞⠨⠊⠍⠁⠛⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠋⠏⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠋⠏⠭
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠛⠁⠉
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠗⠕⠕⠧⠑⠤⠁⠉⠉⠕⠥⠝⠞
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠚⠕⠙⠁
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠚⠕⠕⠎⠞⠨⠚⠕⠙⠁⠤⠁⠗⠉⠓⠊⠧⠑
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠙⠚⠧⠰⠙⠚⠧⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠊⠍⠁⠛⠑⠌⠧⠝⠙⠨⠙⠚⠧⠥
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠞⠑⠁⠉⠓⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠎⠍⠁⠗⠞⠨⠞⠑⠁⠉⠓⠑⠗
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠍⠏⠅⠛
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠁⠏⠏⠇⠑⠨⠊⠝⠎⠞⠁⠇⠇⠑⠗⠬⠭⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠑⠭⠞⠑⠝⠎⠊⠕⠝⠎⠿⠅⠍⠇
⠀⠀⠀⠀⠀⠍⠊⠍⠑⠞⠽⠏⠑⠎⠨⠞⠽⠏⠑⠿⠁⠏⠏⠇⠊⠉⠁⠞⠊⠕⠝⠌⠧⠝⠙⠨⠛⠕⠕⠛⠇⠑⠤⠑⠁⠗⠞⠓⠨⠅⠍⠇⠬⠭⠍⠇
⠝⠁⠍⠑⠿⠘⠘⠘⠁⠙⠍⠊⠝⠸⠓⠕⠎⠞⠘⠘⠘