1iii111111fLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLffffLf1i;;;itLCLfLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
11111111111fLfffffLLLLLLLLLLLLLLLLLLLLLLLffffL1::,,,,,,:1LfLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
:;itttt1111ffLLffLLLLLLLLLLCLLLLLLLLLLLLLLLLLt,,,,::,,:,,iLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
,,,iftt111tftttttttfLCCCLCLLLLLCLLLLLLLLLLLLLt,,,,::::;;,:tttfLfLLLLLLLLffLLfLLLLLLLLLLLLLLLLLLLCCLL
,,,;ftffft11ittii11111fLCLLLLLLLLCLLLLLLLLffLt,,::,:i1;:;;ti;;::tffffffftfLLLLLLLLLfLLLLfLLfLfLLCLLL
:,,:tft111tt1ft;;iffftt1ttfLLLCtLCLLLLLLLLf1t1.:ttt1tf1tt;,....,,ittttttttfLCCCCCCLLLLLLLLLCLLLCCCCL
,....,:tttff1ft11;;;:,,...,LLLLfLLLLLLCCCLti11.,11ii:;;i1:.....,,,it1tt1tL1fCCCCCCCCCCffLfi;::::::iC
::,....tfttt1ttt1,   ...,,,iLLLLLLLLLCt;,,.. ;1,;:,::;:::,.......,,;1111fL1tLfffLLLLLLLLLi ...,,,,:f
i11:,,ifffff1fttf1,,::::;;;:1tftfLLLLL,   ..,:;;iiiiiiiii;,,......,,;t11tfitLftffLffLfttL1...,,,,,:f
111i;tftt1ttit:,,,,,,,,:,,,:;;ftffff1t; .,::t;;t1ii;;;i;ii:;;;::::,:::i1ff1ffffLfLLftti;i;...,,,,,,1
1i;.,:::;i;::,,....,,:,,:,,:1t1;:,:;ttt;ii;:,,11111ii1iii::;:;ifff1;::LCCLftfLfft:::ii;;;;,,,,::::::
::,.,.,,:t:,:,....,::;ii;;;:.t,,,,,.if1;::::,,ittt11i11i:,,:::;11ttftitfLftt11;i: ..:::::,..,,,,:,,,
:;;,,,,,,:,,:,,,::.,;:;;;;;:.1;..,,,11i::::::::1ttt111;;;::;;::ii111ttiffftf: ..,:,.,:,,,.,.::::i;;:
i1i1;,:,. .i:.,,.,:::;:,:,;;  .,,,;i1ii:::::::,;1ttti;i1i:;;;;:ii1111ttii1i:,,:,:::,;iii;::;i111i1ti
1iii1i:1;,:;:.::,;;::::,,,:;i:,,,:;1iii;:::::::,,;ti;iii;:;;;;::ii111i1;.:t,,ii;::,,;iii;,,::;;;;;;;
111ttt;;i,;;,.:itttt1iiii;;;;ii1:.ii;ii:,::::::,:;;;iiii:,::::::,,;;;;i1i:1t;,,::;;::;:,,:;i;:,,::ii
1tt11t1:;:;;,,1ttttfttti111i;:;iti1;:;;,,:,,,,,,:;;iiiii:,,:::::..,,:iii11ii;::,:;:;iii;:i;,;ii;;ii1
111111i::it;:tfttttt1iii;i1ti:;;ii;::,,,.:,,,,,,..,;;;;;,,,::::,:,,,,;iiiii111;i1i;1fft;:11i::i1ttii
1i1i11;,,;i,1tttttt111;:;:i1ti:i;::,,,..,:,,,,,,,,.,,::,.,,,,,,,::,,,::::;;itftt11ii;ii:;;;1t1;;1111
ii1i1i,.,:,:1111tttft11::,:;1;,:;;i:,,,::,,,,,,,,,,,.,...,,,,,,,.,:,,,,,::;1tffLLfft1iii;:ittfffffff
iiii1i..,:,:ii1tt11i:::,.,,;;;:,:,:i;;:;:,,,,,,,,,,,,,,,,,,,,,,..,,,.,,,,:;11ttffffLLLLLLfLffffffftt
iiiiii,.,,,,:i1tt1ii1i,.,,,:;i;::::;i;;;:,,,,,,,,,,,,,,,,,,,,,..,,..........,,::::;;ii11ttffft1i;;;;
ii;iii:.,,,::i1tt1tti;,,:,,;i;::,;i;;i;;;,,,,,,,,,,,,,,,,,,,.,....................,,,....;11i1111ii;
i;;;;:,.,,,:ii11111;1i11,,.:;:,,,i11;ii;;:,,,,,,,,.,,...,,,,,,:,....,,:,...,,,,:;:::.,:,.:i1iiii1i11
;:::,,;.,,,,,i1ii11i;:;i::,,,,,,::i;:;i;::,,,,,,.............,:,...,,,:,...,:,,:::,,,:;,.:;iii111iii
,:,,.,,.,,,..,ii;;:::;;:.,,,,,:i:,::,:1;,,:::::,,,,,,,,,,::;;:.......,,,.. ,;;i;::,..:,,::iiiiiiiiii