i111i:;:;i;;iii111i;;;i;;;,:::::::::::;;;ii11tttffffLLLLLLLLLLLLLLLLLLftfLLLCCCCfLLfft1iiiiii;,;iiii
1111i:::;iiiiii1i11;;;;,,,:::::;:::::;;;i1tftttffffffLLLLLLLLLLLLLLLLLLfCCLLLLCLfLLfft11iiii;;:;iiii
111i1;:::iiiiii1ii1i;;:,,:::::;;;;::;iitfLLLCLtffffffffffLLLLLfLLLLLfLLffLCLLLffffffft11iiiii;;iii1i
1111t;,,:ii;11i1ii1i;;;;;;:;:;;;;;;;;iLCCLLLLCffffLfffLfLLLLfLffLLLLLLLLLLLLLLLLLfffffft11iiii;;i111
;11tf1:::iiii11iii1iii;;;;;::::;iiiiiiLCCCLfLLfffffLffffLLLLLLLLLLLLLLLLLLLLLLLLLLfffLfft11ii;:i1111
:;1ft1;;:tiii1iiiii;;;i11i;::;;;;iiiit1fLCCLfftffffLfffLLLLLLCLLCCCCLLLLLLLLLCLLLLLffffftt1t1ii1ttt1
;:,;1tti:1;ii1ff1;ii:;1LLt;;;:;;;;i111t11ttftttffLfffLffLLLLLLCLCLLCLLLLLLLLLLCLLLLffffftt1t1111tttt
::::,;1t:111i1ff1:;;,,:;:,::::;;;iiii1111111fttttfffLffffLLLLLffLLLLLLLLLLLLLLLLLLLLfffftt1t111t1i1t
:::,,,,;:itttttttt11i;;i;:::::i;i11iii1i11i1tttfLfffftLftfLfLLfCCGCCLfffLLLLLLLCLLLLfttt111ii111ii1i
:;;:,::;;;tttttttttfffttttttt111ii11111i1111tttffffffffttfLfffCCCCCLLftffLLLLLLf11ftttt1111i111;;ii;
::::::::;:1i;;;;tffftttttttfffLLLLLffffttffffLffffffffffLLLLftfLLLLLLLfLfLffft1fffffffffffft11ttttt1
:;::;;i:i;;:::::ittttttttttfffLfLLLLLLLLLLLLLfLCCCLLCCLLLLLLLLfLLCCCCLLLCLLft1fitfLffffffft11tffffft
:::;;;11i;;;:;;;;11tttttttffLLt11tLCCCCCCLLftftfLCCCLLLLCCCCCCLfftf1fLLfCCLf1it:fLLLLLLLLLLLLfLLLfff
,:,:;;;11i1i11iiiiii1ttttffLLLt1tfLLCCCCCLC:t1tLLLLLLLLLCCCCCCCCL1t1tLLffLLL::. tCLCCLLLLLCLLfffffLf
,;,,::::;i;;i11iiiiii11tfffLLLLLLLLLLLLLLLL,.;;;LLLLLLLLLLLLCCf1,:: iCLLfff1.   1CLLCCCCCCCCCLLftfft
::,,:::::;;;;i111iiiii11tffLLLfLLLLLLLLLLLC;    ,fLLLLLLLLLfi:.    .tCLLLfft,   ,11111tffffffLLLLLt1
:;;;;;;;;;;;iiiii1i;ii111ttttffLLLLfLLttLLt.     .1LLLLLLLi.       .,;fLLLLf,    ;1ttt1t111111itCLt1
;iiiii;iiiiiiiiii1Lf1t111tttttt:,;tfi,..;:        ,ffffff;            ,LLLff:     .,;1LLLLffffffLf11
iiiiiiiiiiiiii;i;;ifff1tt1ttttt,  ;t1.            :fLLLLf.            :LLLLLi         ,itffLffffftt1
iiiiiiiiiiiii11;iiitftf00ftfffff1;fLCtiii        .1LfLLLi             iLLLLLL,           .:iffffffft
i1i1111111111Cffti1tfG000f1tt111ttC0Lt;:i:,.   .,,ftttf;.,,.    .  .:: :ffffLt.             :LLLLfft
1ttttt111111tCffti1t11ttCC11tttft10f.  :i11;ii1t11LLLLLiit111ii1i. .;t;iLffffL:..         .. ,LCCCCf
ttt111ii1iiiiCG11tttttffttftfffttft1;i:i1;:;;;1itLLCCCLLti111i;i1,  .1fLLLLLCLit1i;::;i.  :1::LLLLLf
i1t111ii111t1fGLtLLLLLLfttffttfttf1itLi:;:iff;::tfLCCCCtf1i1;;i;;i:,iftfCCCCCCftiit1t1;;:. ;1tLfffLf
1t11t11tffffffffttfffftttffftffftt1i:;::::::::::itfCCCftti;;;tft:::;1ttfCCGCGLt1tii1i;1iii;1tfLLLLLf
1i;;;;;tfffffff1fttttttfLCLLffCCCLft1iii;;;;;i1tffLCCCft1i;;;;;::::::;1tLCCCLf1it1:::ift::;1tfLCLLLf
;;;iiiitttffffLfffffLLLG0000GtCCCCCCCCLLCLCCCLCCCCCCCCLLLffttt11tttttfLCCCCLLft1;::::::::::;1tfLffLf
iiiiii1fffffLLfLLLLLLLCCCG00GLCCCCCCCCCCCCCCCCCCCCCCCCCGGGGGGGGGGGGGGGGCCCCCCCCLffttt11111tffCCCCLLf
ii11tfffLLLLLLLLLLLLLfLCGGGCLLLCLLCCCCCCCCCCCCCGGGGCGCCCGGGCCGGCGGGGGGGGCCGCCGGGGGGGGGCCGCCGGGCCCCCL
tfftffffLLLLLLLLLCCLfttLfftfLLLCCCCCCCCCCCCCCCGGGCCCCCCCCCCGGGGGGGGGGGGCCCCGGGGGGGGGGGGGGGGGGGCCCCCL
ffffftfffffLLLLLfft11fLf11fCCLLCCCCCCCCCCCCCCCCCCCCCCCCCCGGGGGGGGGCGGCCCCCCCGGGGGGGGGGGGGGGGGGCCCCCL
fLffLLLLLLLftt11iii1fLL1111fLCCCLCCCCCCCCCCCCCCCCCCCCCCCCCCCGCCCGGGGGGCCCGGGGGGGGGGGGGCCCCCCCCLLLLCf
fffffffffff1iiiiii1tftt1i1ii1tfLLLLCCCCCCCCCCCCCGGGCCCCCCCCCCCCCCCCGGCGCCCCCCCGGCCCCCGCCCCCCCCCCCLCf
tffffLLffffffttttfft1111ii1111fLLCLfLLfLLLLfLLLLLLLLLLLLLLLLCCLCCGGCCCCCCCCCCCCGCCCGCCGCCCCCCCCCLLCf
fLLffffffLffffLLffLffffffLLCLCCLLCtitttttttttttttttttttttttffLffLCCCCCCCCLLLCCCCCCCCCCCCLLLLLLLCCLCL
tfffffffffLLffffffffffLLLCLLLLLLLLiiitfffftttttttttttttttffffffffffLCLLLLLLLLLLLLLCLLLLLLLLLLLLLLLLt
CCLftttt1111tttttfffffftffffffffLfi;i;1fttttt11t111111111111111111t1tLLLLLLLLLLfLLLLfLLLLLLLLLLLLLCL
fLCCGCCCLLffttttttttfffffttttttttf1:;;:;;::::::::;:::::::::::::;;;;;;1ffffffLfffLLLfffffffLLCCCGG00L
:;i11fLCGGGGCCCCLLLffftttttttttttt1;;;:;::::::;;;:::::::::::;;;;;iiiiifffftfffffffffffLLCGGG00GLt11i