.  ...,iLLLCCLLfti:,,,,::,,tCLf1tCL1ttft::;;;,...,,,,;i:,,:::.....;;,,:,.......,::,,..,;;:,,::
.         .,,1CCCCLCLLLft;;iii, ,tGCCCCCLfCLLt:i:,:,..,,.,;;,,:i1fffftiii;:..:;,.:,..,::,...,:,..,,,
,,.        .,1CLLLLLLLLLf11LLLt;:tCGGCLLftLLLti1i;,,,,,,,:;,,iLCLLLCfttLCCLi,,;,.,,,;,.:;:::::,  .,,
iii:.       .1CLLLLLLLLLLLLLLLLt;iCGCCLffffLf1ii:::,.,,::,::;CC111111ii;ii1ff;.::,,,,:i1ii11;;,,:,::
Lti:..      .tCLLLLLLLLLLLLLLLLt::1CCGCLLffft;iii;::,,,,,,,:;tCfft1i;;:::,,,if;:i;::;1ttiiiiii::i;::
1i;,.      .,tCLLLLLLLLLLLLLLLLL11tLLLLLLfttti1i11;::::::;ii:f0GGCL1;,,......:i:i;;i111i;;i11;:,::,,
i;::      ..,tCLLLLLLLLLLLLLLLLfLCLGCLfft11tf1fi,,,...:;::;:;LLLLCCf;;:......,ii;iii1ii111i;:::,,:;;
;:::.   ....,tLLLLLLLLLffffffLLCCfLGGCCCLffLfifff1;;;:::;::;;Lf11fLL1:::::,..;i;:ii;:i;ii1i:..,:....
;ii;i1;,  ..,tLffLLLfffffLLCCfLGLtC0GGGCLLLf1111111i;:,::;;;itLCCCLLf:1fLLi.,ii;ii;::;;ii::;,..:;:::
111tfffft;,.,fLffLLfffLLCCCGttCf1i,ittttttttttt11i;;;i;:,,,.,:;1tfLLLtfLfi.,,:i;,,:1i;ii;,.,. .,,,;:
tfffffffLCCt;fLfLLLLLLCLLfLfi1ti1i,,.,;11i1tt11iiiiiiiii;;:::,,,::iLf11fti:,..,,.,itt111i;;:. .. ...
LfffLffffLCGLLLffffLLfffffff1tftt1i,ittiiiii;;;;:,:;;;;;ii;:,...,,:;11tfttf:.,..,i1;;::;ii:...   .:i
CLCCGCLLffttt11tLLfLffftftft1fLttff1t1i;;ii;;;;;:,,,:::,.,,,.....,,,:1fft1t: .....,,,::,:,  ....:11i
GGCGCCCCfft1t1i:1fLftft1ftft1ff1tCf1ii;:;;;;;;::::,,::::,,.......,,,,;1t1t1.        .,:,:.... .;i;:,
GGGCLCCffLftt11;;ifttftttfft1ff1tfii;:;;;;ii:;iii;;;;;iii;::,.....,.,:1tti. .,:;;;, ...,i1, ,;fti:,;
CCLLLfffLLftt1i;:i11tttt1tf1iftit1;;;;;;i;::1LCCCCLCCCCCLLft;:,...,..:;:, .:1t11i1i:.....1ftLGGCLtfG
CLffffttfffttt1;:i;1t1t11tf11Ltiti;;;;::::;fGG0000GGGGGGCCCLLt1:,,,..,   .i1t1iii;;i; .,:tGGGLLLfG0G
fffftf1tLLftt1ii;::1ttt111ftift1f;;,:;;:ifGGGGGGGGGGGGGGCCLLLft;,,,,.,  ,i1tt1iii;;;;ifLLCCCCCLfLGGC
ffftttifCCftt11i;::1tffttitf1f1it;:,,:::tCGGG0000GGGGGGGGCCCCLt1,.,,,:::i1tf1ii;;i;:;fLfCCCCCCCCCCCL
ffftfftfLLfttt1i;::1tfttf1tf1t;t1:;,,:,1LCGGGCLCGG0GGGGGCft1ttt1;:,,,;ii1ff1ii;;;i;:;f11fLLCCCCCCLLf
fffftttfLLftt11ii;:11ft11ii11ifL;,1;,::LGGCLft1iitfCCCLt;:;;iii1i,,,:::;tLtiii;;;;i:ifti;1fLCCGGCCCC
ffffffttfLfftt1ii::i1t111;it1iL1:1Lf;,iCGGCLftLLLLCCGCt111fftttft:.;i:,;ftiii;;;:;;:iff1;:i1tfLCCGGG
1tffffffttttttiii:,1t111i:1t1tf1tfLGf;iGGGG000GGGGGGGCfLCCCCCLLLt;,f:;1f111iiiiiii1i111i;;i1fftttfLC
1tffftttt1tff1i;i:;tttt1i:tttt1::,;G0CLGG000GGGGGGG0GGCLLCCCCCCLt;tffLLLffffffffttttt111i;ifLLCf11ii
fttttttt11111ii;;:ifLLft;;ttL1,,,,,;LCCGGGGG0GGGGGGGGGLffLCCCLLfttfLCLLLLffffftttttttttt;:1CLfCLt1ii
tffttt11iiii;;;;;:1LCCCLt;it1,...,,.,:CGCGGGGGGGGCfLCLttfLCCLfft1tffLLf1ii1111111111ii;;;iCGCLfLf1ii
iiiiiiiiiii;;;:;;,1LCCCCLt;;.......,,,LGGGGGGGGGGG00GGCLCCCLfftt11tfffft1i::,,,,:,.....;1LGCCfttt1i;
;i;iiii;;;;:::;;:,,1CGCCCL1  ......,,.fGCGGGGGGGGGLffffffffLfft11;i;ifLLLft;,:;;:. ...,;fCCCLft111i,
:,,::,,,,,,,,,,,,..,iLGGGGC1,......,,.iGCGGGGGGCLt11111t1fLfft11i.,::1LLLLLft;::,......iCCCCLt11t1;,
1i;;:::::,:1t1ii;,,,.,tGGGGGLi, ....,..CGCGGGGGCCLLLLLftfLfftt11,.i1i;1Lfffftf;:,...  .itLCLft1111i:
tt111111i;1tt;,,,,,,,,,tGGGGGGC1.... :fCCCCCCGGGCCLfffffLLft1ii1ttfLft;1fttt1tt,,:i11iitLLLtf1;1tff:
tffft111ii;:,,,,,,,,.,,.1GGGGGGCt, ,tGGCGCCCCCCGGGGGCCCLLf1iiiitffCLLf1:;i1i;;i..,:,:1LLffftt1;1ff1i
,:;11ii1i111i:,..........fGCCCCCC1:fLf1CGGGCLLLCCCCCCCLf1;;;i1tti:i;;t1i, .. ..,,,:;i111ii11t11tfffC
    .;fCGGGCLLt;:........,tLLLLLft1111iCGGGGCLLLLft111iiii11ttf1:::::::;;::,,,,;ttfftfff1::;;ii1tLfL
...iCGCCCLfffLLLf1i:,.....:t11ti1ii1i111CLG0G0LfffLftiii1tffLf1::,::::::;;;;ii;1tiiii;ii:,,,,,,:;;ii
. ;GGCfLLLffffffff11iiii;;1;:i;;i:i;;;,111:L0;i1t;11i1ttt1i;1i,,,,,,:::::::;;::;ii;i;;;;i111tttttfLf
. iCLLLLLffttftt1;,:;;:;::;:::::::i:;.1@@@C,i,@@8 ;C8@808@8C;.::,,,,,,,,:,,:,,::::;:;:::;LG000G000GG
. iCLLLLfft1tti1i,:;;;::;;;:::;:;;i;;.0@@@@G f@@1;@@0ii1:i8@@,.:,::,,::::::::::::::::::;;;;tCGGGGGGG
  1CLfffftt1ii;i:;iiii;;;;;:;;iiiiii,;@@Cf@@G0@8.0@@:,ti. 0@@:.::::::::::::::::::::::::::::,::tG0GGG
. iLfffttt1;;:;;:;;;;;;;;;;;;;;;iii; C@@; L@@@@f L@@C;,,;G@@f.:::::::::::;::::::::::::::,,,:,,,itLGG
  1Lfffft1i:::::::::::::::::::::;:;,:@@G., L@@8:.,tG@@@@@8C;.:::::::::::::::::::,,:,,,:,,,,,,::::;LG
..tCLLt1i;;::::::::::::::::::::::::,,;;,,:,.;;:.::.,:;ii:,..:,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,::::::i
::fLLt:;;;;;::::,::::::::::::::::::::,,:::::,,,:::::,,,,,:::,,,,,,,,,::,,,,,,,,,,,,,,,,,,,,::::,,::,
;ifL1:::::::::::::::::::::;;;;;;;;;;;;;;;;;:;;;;;;;:;;:;;:::::::::::::::::::::::,,:,,,,,,,:,,,,,,,,,
iiff::,,,:::::::::::;;;;;;;;;;;;;;;;;;;;;:;:;;;;;::::;:::::;:::::::::::::::::::::::::::,,,,::,,,,,,,