``````...`````````..:+oyddmmmmmmdddhhhhhhhdddhso/:-.``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
````.......`````-/osddmmmmmmmmmdddddhhhyhhddmmddso/:.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
`...........-:+shdmmmmmmmmmmmmmddddddhhhyyhhdddddhs+-.......``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
`........-:+yhdmmmmmmmNNNmmmmmmmmdddhhhhhhhhddddddhso++///::-...``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
````....:oymNmmmmmmmmNNNNNNmmmmmmmmdddhhhhhhddddmmmddddddhys+/:-.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
`````.-:ydmNNNNNNNNNNNNNNNNNNmmmmmmmdddhhhdddmmmmmmmmmmmmmdhyso+:.````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
````.:ohmmNNNNNNNNNNNNNNNNNNNNNmmNNmmmddhhddddddhhyyhdmmNmmdyyyyo/:.``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
``..+ydmmmNNNNNNNNNNNNNNNNNmmmmmmmmmmddhhhhhyyyssooosydmmmmdhyyhhs+:.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
`.-/hdmmmNNNNNNNNNNNNNNNNNNmmmmmmmmmdhhhyyysoo+++///+oshdmmmdhhhddys:-.```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
`.:smmmmNNNNNNNNNNmNNNNNNNmmmmmmmdddhhyysso++///::::/+oshdddddddmmdh+:.```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
`:smNmNNNNNNNNNNNNNNNNNNNNNNmmmmdddhyyssoo+//:::----:/+osyhdmmmmmmmmy+-```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
:ohNNNNNNNNNNNNNNNNNNNNNNNNmmddddhhysooo+//::::-----:://osyhdmmmmmmmds/.``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
yhmNNNNNNNNNNNNNmmmmmmNNNmmdhhhhyyso++//:::::-----:::://+ssyhdmmmmmmdy+-``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
ddmNNNNNNNNNNNNmmdddmmmmddhhyyyssooo+//::----------::///+osshddmmmmmdyo/``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mmmNNNNNNNNNNmmdddddmdddhhhyssssssso++///:::-------::://++osyhddmmmmmhy+.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNNNmmmddddddddhhhhhhhhhhhhysoo++///::::::::::::/+osyhddNNmmmdho.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNNNmddddhhhhhhhhhhhyhhhddddhyysoo++++//++++///::/+oyhhdmNNmmmho.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNmmddhhhhhyhhhhysoo++oshhhdhhhysssooossssssso++//+oyyhdmNNmmmds-`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmmddhhhyyyyhhhhyyssssssyyhhhhhyssssyyyhhhhhhhyysooosyhhmNNmmmdy-.````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmmdhhyyssyyyhhdhhdddhhyyyhhhyyso++oyyhhyyyyyyyyyssosyyhmmmmmmdy-.````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmddhyyssooossyhhhhhyyssyyyyyso+:::/syhhyyso+/++ossssyyhmNNmmmdy-.````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmdhyyso++++++osyyyyysssoo++++//-.-:oyyyyyyyssoo+oossyyhmNNmmmdy-.````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNmmdhysso++////++oosssooo+///////...:+oosyyhdmdhhyssssyydNNNNmmdy-```` ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mmmmmmmmmdhhyssoo+++++++++++o+++/++++///-..://+osssyyyyyyyyssshdNNNmmmhs-`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mmmmmmmmmdhhyysssooo+++++++++++++++++///...:///+osyyyyyssooooshmNNNmmdy+.`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mmmmmmmmmdhhyyyysssooo+++///++++o++///::...://++oossssoo+//++shmNNNmmdy/``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mdmmmdddddhhhhyyyyssoo+++//////+o+//+//:----:///++ooo++/:::/+shmNNNNmds:``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mddddhhhdhhhhhhhyysssoo++//////+ssyyyyso+++////////+////////+shmNNNNNds-``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Nmmdhhhhdhhhhhhhyyssoo++///:///+hhdddhhyyyyys+//////////++++oydNNNNNNds-``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNmmddddhhhhhyyysssoo++//////+oyhhhhhhhhhddyo/://///++++oooshmmNNNmmds:``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNmmdhhyhyyyysssooo+++++++++ossyhhhhyhhhs+/:///+++ooooooydmmmNmmmds:``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNmmhhhhhyyyysssooooooooooossyyhhhhysss+/::://+++oosssydmmmmmmmmds:``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNmdhhhhhhyyyysssssyyyhhhhddddhhhhyso+////////++oossyhddmmmNmmdhs/``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NmmNNNNNmdhhhhhhhyyyyyyyssssyyyyyyyyyhhyhhhyso++///+++oossyhdmmmmmmmhhs/``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
mmmmNNNmmdhhhhhhhyyyhyyysssoossssssoooooosyyyyso+++++ooosyhdyhdmmddhhy+-``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
hdmNNNNmdhhhhhhhyyyyyyyyysssssyyyyyyssooooooooosooooooooyddy/oyddysoyo:.``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
+ydNNNNmdhhhhhhhyyyyyyyyyyyyyyyyhhhhhhyysssooooooooossssddy/:+sdyo+os/-```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
/shNNNNmddhddhhhhhhyhyyyyssssssyyyhhhhhhyyyyssssssssyyydmho/+syd+:/o/-````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
sydmmmmmddddddddhhhhhhyysssoooooossssyyyyyyyyyyyyyyyyhdmdys+oyys-::/-`````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
ddmmdmmNmddddhhddhhhhhhhyysssoooosssoooooossyyyyyyyhdmdho+++ooo/----``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNmdhhhhhhhhhhdhhhhhhyyyyyyyyyssoooooosyyyyhdmmNmdsoo+/:--...```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNmdhhhhhhhhhhhhhhhhhhhhhhhhhhyyyssssyyyhhhmmmmNNNNmhso+/:..````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNmdhhhhhhhhhhhhhdhhhhhhddddddhhhhyhhhhhhhdmNNNNNNNNmmddhyso+/--..``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNmddhhhhhhhhhhhhdhhhhhhhhddddhhhhhhhhhhhdmNNNNNNNNNNNNNNmmmddhyso/:-.``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmddhhhhhhhhhhhhhhhhhhhhhdddhhhhhhhhhhhdmNNNNNNNNNNNNNNNNmmmdddhhyys+:-.``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmmddhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhdmNNNNNNNNNNNNNNNmmmmddddddddddhhyo+/-..````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNmmmddhhhhhhhhhhhhhhhhhhhhhhhhhyyhhhhddmNNNNNNNNNNNNNmmmmmdddddddddddddddhhyo/:-.```....``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNNmmdddhhhhhhhhhhhhhhhhhhhhhhhhhhhhdmNNNNNNNNNNNNNmmmmdmddddddddddmmdddddddddhyo+:-....``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNNNNmmmddddddddhhhhhhhhhhhhhhhhhdddmNNNNNNNNNNNNNNmmmmmmmmdmmmmmmmmmmmmdddddddddhhs/:.```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNNNNNNmmmddddddddhhhhhhhhdddddddmmNNNNNNNNNNNNNNNNmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmddddyo/``````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
NNNNNNNNNNNNNNNNNmmmdmmmdddhhhhhhdddddmmmmNNNNNNNNNNNNNNNmmmmmmdmmmmmmmmmmmmmmmmmmddmmmmmdddddhy+-.```````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````