........,,,,,,.,,,,,,,,,,,,,,,,,,,,,::::::::::::::,,,,,,,:::,,,,::::,,,,,,,,,,,,,.................  
...,,...,,:,,,.,,,,,,,,,,,::::::::::::::::::::::::,,,,,,,::::::::::::::,,,,,,,,,,,,...............  
,.....,.,::,,,,,,,,,,,,,,:::::::::::::::::::::::;;:,,,,,,::;::;;;;;;;:::::,,,,,,,,,,,...............
.....,,.,::::,,,,,,:,:::::::::::::::::::::::;;;;;;::::;:::;;::;;;;;;;;;;::::,,,,,,,,,,,.............
..,,,,,.,::::,,,,,,::::::::::::::::::::;;;;;:,,,,,,,,;1;::;;;;iiiii;;;;;;;;::::,,,,,,,,,,...........
,,,,,,,.,::::,,,,,,,::::::::::::::;;;;;;iii;,.,,,,,::;:,:;;;;i1iiiiiiiiii;;;;;::::,,,,,,,,,,........
,,,,,,,.,::::,,,,,::::::::::::;;;;;;;;,::,,,......,....,:;;:,,iiiiiiiiiiiiii;;;;;:::,,,,,,,,,,......
,..,,:,.,::::,,,,:::::::::;;;;;;iiiii;,,.......,,,,,,. :,.:i...,:;iiiiiiiiiiiii;;;;::::,,,,,,,,,....
,,,,::,.,:::::,:::::::;;;;;;iiiiii1;:,....,:;;i11111t1;:;:::   .,,:1iiiiiiiiiiiii;;;;::::,,,,,,,,...
,,,,::,.::::::,::::;;;;;;iiii11111i,;i,..,:;i111ttttfft1;;i, .,,..:iiiiiiiiiiiiiiii;;;;;:::,,,,,,,,.
,,,,,,,,::;;:::::;;;;iiiii11111ttti;;;,.,,:;i11111ttffftt1i:,,:i:,::iiiii1111111iiiiii;;;;:::,,,,,,,
,,::,,,,:;;;:::;;;iiiii1111tttttttt;;;..,:::;i11111tttttt1;.;i:;:.,iiiiiii11111111iiiiii;;;;:::,,,,,
,,,,,,,,;;;i;;;iiii11111tttttttffff11i,.,,:;;:,;t1:;i1t1tt1,,it1: :iiiiiiii111111111iiiiii;;;;::::,,
,,:,,::,;iii;i;i11111tttttttfffffffff;.,,,:;i;,:tt1;;i1tttt;i;:1;;1iiiiiiii111111111111iiiii;;;;::::
,,:;;;::i111iii111tttttttfffffffffffft,,,:i1t;,;tttt11tttt1i:iii;1ii1iiiiii1111111111111iiiii;;;;;::
:::;ii;:11tti1i1ttttttffffffffffffffff;,,:;11,,1tt1i1tttt111i1t1;iiiiiiiiii11111111111111iiiiii;;;;;
;:;ii1;:1ttt111ttttfffffffffffffffffff1:,,:;,,,:i1tt;;1tt111111iiiiiiiiiiii11111111111111iiiiiii;;;;
:::ii1;;tfff1t1tffffffffffffffffffffffff;,:,,,:ii1tttiitt111:;;iiiiiiiiiiiiii111111111111iiiiiiii;;;
,:;iii;;tfff1t1tffffffffffffffffffffffff1,;i::;ii111t11t1111;;iiiiiiiiiiiiiii111111111111iiiiiiiiii;
::;;;;:;ffff1t1ffffffffffffffffffffffffffi:::;iii1tttt1111ti:;iiiiiiiiiiiiiiii11111111iiiiiiiiiiiiii
111111ttffff1t1fffffffffffffffffffffffffft,,,:;ii1111111111;:;iiiiiiiiiiiiiiiii11111iii1iiiiiiiiiiii
ffffLLLLLLLL1t1ffffffffffffffffffffffftt1,.,,,,:;iiii1i1tf;:::;iiiiiiiiiiiiiiiiiiiiiiii1iiiiiiiiiii;
111ttttttttt111tfffffffffffffffffft1:,,.  .,::::::;;tfftLi::::.,;;iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii;
::::::::::::::;tftttfffffffftt11i;::,,,...,,;1ftt1ttfG0L;,::::,.:,,:;;iiiiiiiiiiiiiiiiiiiiiiiiiiii;;
iiiiii111111111ttttfttfffti;;::,,,,,:::,,,,:;1ffLfLftCL:,::::::,::,,,,:::::;iiiiiiiiiiiiiiiiiiiiii;;
tttttttttttttfttttttfft1;,,,,,,,,,,:::,,,,,:;ffLLCCLf1,,:::::::::::,,,,,,,,,:;:;iiiiiiiiiiiiiiiii;;;
1111tttttttttttttttft;,,.,,,,,,,,,,::,,,,,,::fCLCCGLi,,:::::::::::,,,,,,,,,,,,,,:;iiiiiiiiiiiiii;;;;
11111ttttttttttttttt,.,,.,,.,,,..,,,:,,,,,,:,;LCCCLi,,,,,::::::,::,,.,,,,,,,,,,,,:;iiiiiiiiii;;;;;;;
1111111tttttttttttt:.,,,.,,.,,.,..::::,,,,,:::fCCf;,,:,,,:::::,.::,,.,,,,,,,,,,,,,:iiiiiii;;;;;;;;;;
11111111tttttttttt:..,,,.,..,.,,.,,:::,,,::::,1Gf;,,,:,,,,::::..:::,.,:,,,,,,,,,,,,:iiiii;;;;;;;;;;;
11111111111tttttt: ...,,.,.,,.,.,,.:::,,,::,,,;t:,,,,,,,,:::::..:::,.,:,,,,,,,,,.,:,:;i;;;;;;;;;;;;;
111111111111111t;.....,,.,...,..,,.,::,,:::,,,:..,,,,,,,,::,:,.,:::,.,:,..,,,,,.,,,:,:;;;;;;;;;;;;;;
11111111111111ti.,.....,.......,,:..::,,::::,,,:,::,,,,,,,,,:,.,:::,.,:,..,,,,.,,,,,,,:;;;;;;;;;;;::
111111111111111,.,,.........,..,,:,.::,,:::,,,,::::,,,,,,,,::..::::,,,:,..,,,.,,,,,,,,,;;;;;;;;;;:::
ii111111111111;.,,,,...........,,,,.,:,,:::,,,,,:,,,,,,,,.,:,.,::::,,,:,..,...,,,,,,,,,,;;;;;;;:::::
iiii1111111111,...,,,..........,,,,,,,:::,:,,,,,:,,,,,,..,,,,.,::,:,,,,,..,..,,,,,,,,,,,,;;:::::::::
iiiiii11111111,.....,,.........,,,,,,,::,,,,,,,,,,,,,,, .,,,.,:,,,,,,,,,.......,,,,,,,,,,:;::::::::,
;;iiiiiiiiii11,................,,,,,,,::,,,,:,,,,,,,,,..,,,..,,,,,,,.,,,..,....,,,,,,,,,,,::::::::,,