ffffffffffffffffffffffffffftt1i;;;;;iiii;;:::;;;;;;ii;;;;;::;;;;;:;;;;;:::::;;;;;;;;;;;;;;;;:::::;;;
LLLLLLfffffffffffffffffft1i;::,,,,,,,:::::::;;;;;;;ii;;;;;:::;::::;;;;;:::::;;;;;;;;;:::::::::;::;;;
LLLLLLLLLLffffffffffft1;,,,,,,,,,,,,,,,.,,,::;;;;;;ii;;;;;::::::::::::::::::;;;;;:,,,,,:::,,,,::::;;
Lfffffffffttttffffft1:,,,,,,,,,,,,,,,...,,,,,:;;;;;;;;:::;::::::::,,,,,,,,::::::,,,.,,,,...,,::,,::,
111111111111111111i:,.,,.,,,,,,..,.....,,,:,,,:;;;;;;;;:::::::,,,,,,.,,,,,:::,,,.,,,,,,...,,,,,..,,,
111111111111i1111;,,,,,,,,,,,,.......,,:;1f1;,,:;;;;;;:::,,:,,,,,,...,,,,:::,,...,,,,,,,,,,,,.,,,,,.
t1111111111ii111i:,,,,,,,,,,.....,:::::;i1ttt1,,;;;;::,,,,,,,,,,,,.....,:::,,,,,,,,,,,,,,,,,,,,,,,,.
tttttttt111iiiii:,,,,,,,,,....,:;iiiii;;;i1t1tt::;;;;:,,,,,,,,,,,.....,,::,,,,,,,,,,,,,,,...........
ttttttttttti;iii;,,,,,,,,...:;i1tt11iiiiiii11tt1;:;;::,,...,,.........,:::,,,,,,...,,....,,,,,,,....
ttttttttttti;iii;,,,,,,...,:;1t111111iiiii;:;;:ii;,,,,,,..............::::,,,.,,,.,,.,,,,,,,,,,,....
ttttttttttti;iiii:,,,,,,,,:;;11111111ii;;;:,,,::if;,,,...............,::::,,,.,,,,..:;;:,,,,..,,,...
ttttttttttt1;iiii;,,,,,,,,,:;i111111i;::,:;;:;:;ift::,,,..............::,::,,,,,,,,,,,,,,,,.,,..,,..
ttttttttttt1;iiiii:,,,....,,:i111iii;:.,;itttffttft;,,,,,,............,::::,,,,,,,,,,.,..,..........
ttttttttttt1;;iiiii;:;;;:.,:i11i;;;;;:::1ttfttftttt1,.................,:::,,,,,,,,.,,,,.,,.....,,...
;1ttttttttt1;;iiiiii;:1t;:::;iiii111iii1f1tfLt1ti;i1;.............,....,:::,,,,,,.,,,,...,..........
:ittttttttt1i;i;:;;;;;;ii11ii1ii111ttttft;11ii::i1i;i,.,,........,......:::,,,,,,,,,,.....,,,,......
:,,;1tttttt1i;;,...:;;;;it1111111ii11ttt1i1i;iiiiii;:,,,,...............,:::,,,,,,,,,,..,..:,,,.....
.. :111ttt1iii:...;;;;;::i1i1iiii;;i111ii1111i;;:;;;i:,.................:;::,,,,,,,,,...,,.........
,::;1t1i;;:,. .,:;;:,,,,:0Ci;;fti;ii:;;;i;;::::;tt1,..................:::::,,,,,,,,,..,,........
. .::,,;i1i:. .,::,,,:::,f@0L1i11i;;:::;;;:::;i1ii1::,,,............ :;::::,,,,,,,,,,,..........
..,:,,,:;:,. ....,,,,,,:::::,,G@@8Gt1ii:,,:;;::i11i;;i;,::,,,,,,,,...... ;f;::::,,,,,,::,,..........
..,...,,;:.,,,,,,..,,,,,:::::,;8@@@@fi1;,,,,:;i1i;::;;,,:::,,,,,,,,,,.... if::::,,,,:::,,,..........
..,:, ,;:,,........,,,:::::::,1@@@G111;;i:;i11i;:;;::.,,:::,,,,,,,,,,,,,..1t;;::::,,::::,::,,,,....
...,,,,,,,............,,,,,::::,t@8;1t1ii1tt1i;:;;i;fi.,,,,,,,,,,,,,,,,,,,,,;1i;::::,,::::::::,,,,.,
,:,,,,,,,,.....,,.......,,,,,::,.t8:tt1tt111i;:::;:f8i.,,,,,,,,,,,,,,,,,,,,,,:i1;::::,:::::;i;::::::
,:::::,,,,,.....,,,,.....,,,,,,,,.fLtt1111ii;:::,.:CCi.,,,,,,,,,,,,,,,,,,,,,,,,1i;i1iiiiii11111iiii;
:::,::::,..,,.....,,,,....,,,,,,,,,1ft11iii;:::,,:tGt1,,,,,,,,,,,,,,,,,,,,,,,,,:;;:111111111ttt111ii