88888888888888888888888888888888888888888888888888888O8888OOOOOOOOOOO8OOOOOOOOOOOO888888DDNNDDDD8888OOO88OOOOOO8OOO88888OO888O8OOOOOOOOOOOO888888O888888888888888888888888888888888888888888888888888888
88888888888888888888888888888888888888888888888888OO8OOOOOOOOOOOOOOOOOOOOOOOOOOO888888DD88888888DD888OO88888OO8O88888888888888O8OOOOOOOOOOOO88O8OO888888888O88888888888888888888888888888888888888888888
8888888888888888888888888888888888888888888888888OOOOOOOOO8O8OOOOOOOOOOO888DDDDDNDDDDDNN8888888DNNNDND88O888888O88888888DDDD8888OOOOOOOOOOOOOO888888888O888888888888888888888888888888888888888888888888
888888888888888888888888888888888O88888888O88888OOOOOOOOOOOOOOOO8O8O88DNNNNNNNNNNNNNNNNNNDNND88DNNNNNNDNNNNNNND8OO88DD8OO88888888OOOOOOOOOOOOO8OOOOOO888888888888888888888888888888888888888888888888888
888888888888888888888888888888888888888888O88888OOOOOOOOOOOOOOOOO8NNNNNNNNNNNNNNNNNNNNNNNND88OO88O8DDNDDNNNNDN8DDDDDDDDDDDDDDDDDDD8OOOOOOOOOOOOOOOOOO888888O88O88888888888888888888888888888888888888888
8888888888888888888888888888888888888888888888OOOOOOOOOOOOOO88DNNNNNNNDNDNDDDDDDNDDDD88888888OOODDNNNNNNNNNNNNDDDDDDDDDDDDDDDDD8888888OOOOOOOOOOOOOO88OOOOOO888O8888888888888888888888888888888888888888
888888888888888888888888888888888888888O88OOOOOOOOOOOOOOOOO8NNNNNNDDDNDDD88888888DDDND888D88DDD8DDDDNNMNNDNNNNNNNNNDDNDDDDDD888888888O8OO8OOOOOOOOOOOOOOOO8888888888888888888888888888888888888888888888
88888888888888888888888888888888888888OOOOOOO8OOOOOOOOOO8DNNNNDDNNNNNNNNDD88888888DD88DDDNNDNDNNDDNNNMNNNNNNNNNNNNNNNDNNNNNNDDDDDDD8DDD8OZOOOOOOOOOOOOOOOO8888888O8OOO8888888888888888888888888888888888
888888888888888888888888888888888888OOOOOOOOOOOOOOOOOODNNNNNNNNNNNNNNNND8D8OOOOZ8N88DNNNNNNNNNNNNNNMNNNNNNNNNNNNNNNNNNNNNNNNNNDNNNDD888888OOOOOOOOOOOO8OOO8888888O8O888888888888888888888888888888888888
8888888888888888888888888888O88888OOOO88OOO8OOOOOOO88NNNNNNNNNNNNNNDDD88D8DN8DNNNNNNNNNNNN8DNNNNNND8DNNNNNMNNNDNNNNNNNNNNNNNNNNDNNNNNDDD888OO8OOOOOOOOOOOOOOOOOO88OO888888888888888888888888888888888888
88888888888888888888888888888888O888OOOOOOO8OOOOOOO8DDNNNNNNNNNNND8DNDND8Z8DDD8DDN88DND8DDDDDNNDDDNNNDNMNNMNNNNDNNNNNNNNNNNNNNNNDNNNNNDDDD8OOOOOOOOOOOOOOOOOOOOOOO8888OO88888888888888888888888888888888
8888888888888888888888888888888888OOOOOOOOOOOOOO8DNNDDDDNNNNNNDDDNNOD8ZZ8DOO8$7$Z8OOZZO888DDNDDND8DNNNNNNMMNN8DNNNNNNNNNNNNNNNNNNNNNNNNND8D88OOZOOOOOOOOOOOOOOOOOOOOO888OO888888888888888888888888888888
888888888888888O8888888O88888888OOOOOOOOOOOOO8NNDDNNNNNNNDNNDDD8D8NOZ8D888O88DOO8$$$$ODND888OODNNNNNNNNNNNNNNONNNNNDDNNNDNNNMNNNNNNNNNNNDDD8D88OOZ8OOOOOOOOOOOOOO8OO888888888888888888888888888888888888
88888888888888888888888888888O88OOOOOOOOOO88DNNNNNNDNNDDNND88Z888OO8DDD8DDDOZZOZZZNNNNND88O8DNNDNNNNNNNDNNNDNDNMNNNNDDNNNNNNNNNNNNNNNNNNNNDDDDO8OOOOOOOOOOOOOOOOOOOOOO8888888888888888888888888888888888
88888888888888888888888888O88OOOOOOOOOOO88DDNNNNDDDDDDNDDDZZ88O88DND8DNOZO88DDDO8DDDDDNDND888DDDDDNNNDNNNNNNNNMMNMMNNNDDNNNDNDNNNNNNNNNNNNNNDDD8DOOOOOOOOOOOOOOOOOOOOOOO88OOO888888888888888888888888888
88888888888888888888888888888OOOOOOOOOO88DNNNDDNDDDDNNDDZ8ODDD8DNODDDZ8ZOO88OZO$ZOO88OO8888NDNDDDNNN8NDNNNNNNNNNNMMMMNNN8ONN8NNNNNNNNNNNNNNNND8888D8ZOOOOOOOOOOOOOOOOOOOOOOO8888888888888888888888888888
88888888888888888888O8O88OOOOOOOOOOOO8O8NNNDDNNDDNNNDD8888DDN8D8DDD8OZ88OO888Z$ZOZZODDNNDDDDDDDMNNDD88DDNNNNNNNNMNNMNNNND888D8NNNNNNNNNNNNNNNND8OODDOOOOOOOOOOOOOOOOOOOOOOOO8888888888888888888888888888
8888888888888888888O8O8OO8OOOOOOOOOOOONNNNNNNDNNND88DDO8DDNNDDNNDONDNNDOO8ND8ZODNNNDNNO88DDDNDD88O8ODNNNNNNNNNNNNNNNNMDMNDD8DDNNNNNNNNNNNNNNNNDD8OZDND88OOOOOOOOOOOOOOOOOOOOO888888888888888888888888888
8888888888888888888888OOOOOOOOOOOOOO8NNNNNNNNNNNNDNDDD8DNNNDNNDDD88DNDDNN8$ONDNDDN88$8ODDDDDDD8888DDDDDDN8DDN8NDNDNNNNNNNN8DDDDNNNNNNNNNDNNNNNNDOZ8ZDDDO8OOOOOOOOOOOOOOOOOOO8888888888888888888888888888
88888888888888888888OO88OOOOOOOOOOOONNNNNNNNNNNNDDD8DDNNNNNDDDDDDD88888OO88NN8O88D88DDNNDNDD8DOZZZOO8OD88D88D88O88NMNNNNNNMONNDNNNNNNNNNNDNNNNNNDO$8Z8DO8O8OOOOOOOOOOOOOO8OOOOO8O88888OO8888888888888888
88888888888888888O88OOOOOOOOOOOOOO8DNNNNNNNNNNDDDDDNNMNNNNDDNDNDDD8D88O888ZO88OZ88DND8DD88OOZOODDDDOZO8N88ONNNN8DNNNNNNNMNNDZNNNDNNNNNNNNNNNNNNNN8ZOOZ8DO888OOOOOOOOOOOOOOOOOOOOO8O888888888888888888888
8888888888888888888888OOOOOOOOOOO88NNNNNNNNNNDDNNNMMNNNNNNDNNDD8NN88D88D8DDNNDDND8O888DDDOOOOOZOZ8DO88O8DNNNNNNNNNNNDNNDNNN8DDNNNDMNNNNNNNNNNNNNNN8OOZ$8OOOO8OOOOOOOOOOOOOOOOOOOOO8888O88888888888888888
8888888888888888888888OOOOOOOOOOOODNNNNNNNNNDNNNMMNNNNNNDNNNNNNDDDD8DDDNNNDNN88ZDDDODD8DDD8ZOZZZ$$$$Z8NNNNNDN8DNNNNNN8DNNNNDNNNNND8NNNNNNNNNNNNNNND8OO$ODDOZOZOOOOOOOOOOOOOOOOOOOO8888888888888888888888
88888888888888888OOOOOOOOOOOOOOOODNNNNNNNNNNNNMMNNNNNDNNNNNNNNDDDDNDNNNNNNDODOO8DD88DDN8OZ8888ZZZO8DNNDNMNNN8NDNNNNNNN8NNNDNNNNNNNDDNNNNNNNNNNNNNNN8DZZOONDDOZOOOOOOOOOOOOOOOOOOOOOO8O888888888888888888
8888888888888888O8O8OOOOOOOOOOO8NNNNNNNNNNNNNNNNNNNNNNNNNNDNNNDNNN8NNND8$8DNND8888DD8NDDD87$$$ZODDDNNDNMDNZNNNDNDNNNNDNDNN8MDNNNNDNNDNNNNNNNNNNNNDNN888Z88DNNOZOOOOOOOOOOOOOOOOOOOO88888OO88888888888888
8888888888888888OOOOOOOO8OOOOOODNNNNNNNNNNNNNNNNNNNNNNNNNNNDDNMD8NDDDDDNDNDD8D8D888DDO$8N8DDD8O8DDNDNNDDOZNNDDNND8DNNNNNDDNNDDDNNDDDDDNNNNNNDDNNNDDDDODDNO8NDDZZOOOOOOOOOOOOOOOOOOOOO8OO88O8888888888888
888888888888OO88OOOOOOO8OOOOO8DNNNNNNNNMNNNNNNNNNNNNNNNDNDNDND88D8NDDDDDNNZNDZO888O8DDZ8DDZZ8DDDDON88DDNDN8NDNNDNDDDNDDNDNDDN8NDDDDD8D8NDDNNDD8NNDDDDDDDNNO8NNNZOOOOOOOOOOOOOOOOOOOOO8OO8O8O888888888888
88888888888O888888OOOOOOOOOOO8NNNNNNNNNNNNNNNNNNNNNNDDDDD88D8DNZ8888NDN8DD8888ZZZO8OZ$ZZ$Z8O888DD8OD88ODND888ND8DN88DDD8NDD8DDNNDDD88ND8D8DDD8NONDD8888D8DNDDDND$OOOOOOOOOOOOOOOOOO8OOOO888888888O888888
88888888888O8OOOOOOOOOOOOOOOODNNNNNNNNNMNNNNNNDNNDD8ODDD88DDD8D88888N88ODNNN8ZZOZO87Z$O8$Z78Z8OO8DZOOO8O8NZ888ZD88D8ODD8DD8OZDDDDDDDDNDDZN888DNNDODOO888D8DDDDNN8OOOOOOOOOOOOOOOOOOOOOOOO8OO888888888888
888888888888O8OOOOOOOOOOOOOO8NNNNMNNNMNNNNNNNNNDND8DDD8DNDN888DNDDDDDD8DDDDDDZZ7II$7$OOI77$ZZZOZOOOO7Z$$O88ZZOZ8OOOODZ8Z8D88O888NODDDD88D$OM$8ODD88ZZOOOOD8ND8DDDZZOOOOOOOOOOOOOOOOOOOOOO88O888888888888
88888888888888OOOOOOOOOOOO88NNNNNNNNMNNNNNNDNNNND8NDDNNNDD88DOD8DDDD888DOD8OZZO7II$$7OIII77$7$ZZZZZ$O7777Z8ZZ7OOO$ZOO$OZ$O8Z8Z88D888888ZO8$D$8ZDDO88Z$$8$$ZZ88888OZOOOOOOOOOOOOOOOOOOOOOO888888888888888
88888888888888OOOOOOOOOOOO8NNNNNNNNMNNNNNNNNNNNNDNNDDN8DDDDD888D8DD8O8O888$ZOIII777I$??II77777$77$$ZZZ?7II87I77Z$Z7$$Z7Z7OO$O7OD8DOZOZO87O$Z$$D$8DZZ8ZZZZZ$OZO88OO$ZOOOOOOOOOOOOOOOOOOOO8OOO888888888888
888888888888OOOOOOOOOOOOO8DNNNNNNNMMMNNNNNNNNNNDNN8DNNN8DD8DNOD888OO88OZO$ZZ7III$??7I7??IIIIII7$777$$$$II7$77?7$$7Z$$7I$I$$7$Z8OOOODO87$ZO77$Z$7Z8DZZZOZO$$$ZZD8ZO8ZOOOOOOOOOOOOOOOOOOOOOOOOOOO888888888
8888888888O8OOOOOOOOOOOOO8NNNNNNNNNNNNNNNNNNNNNDNNNNDODDDDD88O888OO8OZ8OZZ7$?I?I?II7II???????III7$$$777I?+77$I77$$$Z$777$$$?$$$$$$ZOO87I778$$$ZOZO887ZZ$ZZZ$$8O8OZ88OOOOOOOOOOOOOOOOOOOOOOOOOO8888888888
8888888O8888OOOOOOOOOOOOO8NNNNNNNMNMNNNNNNNNNDNNDDNNDDD8888DDZ88OO8ODZO87I$7I?777$7?++?+?+?+??III7777III??I777I777ZZZ$Z7ZI7?I??I?77O$8Z$777$$$I$OO8OO$ZZ$7ZZZ$OD8OZOZOOOOOOOOOOOOOOOOOOOOOOOO88888888888
8888888O8888OOOOOOOOOOOO8NNNNNNNNNMMNNNDNNNNDNNDNDDN88DD888ZO88O88888O8$I$$7II?77O?++?++?++++????III7?III$I$I7?I$ZZZZZ$Z$7II?++I+?I7$8$$7Z$II8$$ZOIOZ8$ZZZ$OOZ$ZO8Z$$ZOOOOOOOOOOOOOOOOOOOOOOO88888888O88
888888888OOOOOOOOOOOOOO8DNNNNNNNNNMMNNNNNNNDDNNDDDDD888O8OO88O888ODDD8$$OZ7IIIIIZI++++++++++++++?IIIII??I$IOIII7$OO$Z8$$$7$I?==+=+II7$O$7=7Z?OO$$$Z$ZZOZZO$$88ZZOZOZZOOOOOOOOOOOOOOOOOOOOOOOOOOO8O888888
8888888888OOOOOOOOOOOOODNNNNNNMNMNNNNMNNNND8NNNNDD8D8888OOOO8O8OZD88O$$8Z$7I7??8I?+=+=++===+=+++?++??????I$ZI?I778$8$OO77ZZ7?=+====+IZ$OZI?ZI7Z$Z$OZO7ZZZ7Z$Z$OOZ8O$OZOOOOOOOOOOOOOOOOOOOOO8OOOO888888O8
8888888888OOOOOOOOOOOO8NNNNNNMMNNNNNNNNNNDD8NNDDDD8888O8OOODZODZNDDZ$$$Z$7I77?8I=+++============+==+++??I?IZ$+?+7Z7$OOO$7I$7=~==?~==+77ZO777O7ZZ$OOOD8$Z$$77$O$O8OOZZZOOOOOOOOOOOOOOOOOOOOOO88OOO8888888
8888888888OOOOOOOOOOO8NNNNNMMMNNNNNNNNNNNDD8NNDDD8888OOODOOO7DZNOZ$7IZ77I777IO?+=+=+================?+???7II7===+$???$O77?8+?==~+====+7I$7$7$DIZ7IZ7DOD8$$$7$O$$ZZOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO88888888
8888888888OOOOOOOOOOONNNNNMMMNNNNNNNNNNNND8NNDD88O88OZO88OZ$O$NO777I$?I??I??+?+++=+=============~~========++?=+++?====+II7I+===+=?====+?$77O77O7Z7?Z7$$OZZZ$$7Z$7ZZO8O$OOOOOOOOOOOOOOOOOOOOOOOOO88888888
8888888OOOOOOOOOOOOO8NNMMMMMMNNNNNNMNNNNND8NNDD8OOOOZOOOZZZZ8NZII7I?I?++???+++++==++============~~~~~~~~==~~=~~~==~~~~~=++===~====++==+??$7ZO$$ZO$77I$$78Z8O$ZZOOO$ZZOZOOOOOOOOOOOOOOOOOOOOOOOO88O888888
8888888OOOOOOOOOOOOO8NMMMMMMNNMNNNNMNNNDN8DDDDOOOOZZZZZZZ$$ODO?IIII?+++++++++=+====+============~~~~~~~~~~~~~~~~~~~:~~~~~==~~~~~~~====++II$?7$Z7O8Z$$$$ZZO8DO8OZOZ8$OZ8OOOOOOOOOOOOOOOOOOOOOOOOO88888888
8888888OOOOOOOOOOOOO8MNMNNNNMMNNNNNNNNNND8DDD8OOOZZZ$Z$77777I???????+++===++==+==========+======~~~=~~=~=~~~~~~~~:::::~~~~~~~~~~~~===~=+??7$?778$DD8$8ZZ8OONND8DODOOZZOZZZOOOOOOOOOOOOOOOOO8OO88OO888888
8888888OOO88OOOOOOOODNNMMNNMNMNNNNNNNNNNNDD88OOOZZ$$$$$7IIII??+????+++=+++=++++=========+=====~=~~=~~~~~~~~~:~~~:::::::~~~~:~::~~~~=====++7?$$$Z8ODND8DODDD8DDNDDD8OO8O8OOOOOOOOOOOOOOOOOOOOOOOOOO888888
88888O8OOOOOOOOOOOOONMMMNNMNNNNNNNNNNMNNND888OZZ$$$7$$7$II????+?++++++++===+++=======++++==+++======~~~~~~~~~~~~~::::::::~::~~~:~~~~~~===+??Z7ZO$D8DNNDDNNDNDDDDDNNDOOZ8OOOOOOOOOOOOOOOOOOOOOOOOOO888888
8888888OOO88OOOOOOO8MMMNMNNNNNNNNNNNNMNND88OOZZ$$$7777$III??I??++++++?++=++=+++++++==??+++++======~~~~~~~~~~~:::::::::::::~::~:::~~~:~~~==++77$DODO8DNNNNNNDDNNDNDNNDOOO8OOOOOOOOOOOOOOOOOOOOOOOOO88888O
88888888OOOOOOOOOOO8MMNNNNNNNNNNNDNNNNDD88OOOZZ$77777$7III???+??+++++++=====+=+++++=+?+++++=++==~~~~~~~~~~::::::::::::::::::::::~~~~~~~~~==+?7ZZDON8O8DDNNDOO8OZ8N8NN8O8OOOOOOOOOOOOOOOOOOOOOOOOOO888888
88OO8888OOOOOOOOOOO8NMNMNNNNNNNNDDD8DD888OOZZZ$$$$777$7II????+???++++========++++++++++++++====~~~~:~~::::~::::::::::::::::::~:~~~~~~~~~~~==+?$ZOO8ND8D8OOZ$$7$77OD8N8DZOZOOOOOOOOOOOOOOOOOOOOOOOO8888OO
88888888OOOOOOOOOO8ONNMMNNNNNNNNDD8D88888OOOZZ$$Z$$$$77II???+???+=?+++=====~+++++++++++=+++=~~~~~~~~::::::::::::::::::::::::~~::~~::~~~~~~~~=++I$OODNDN88OOO$ZIZ$Z8N8D88OOOOOOOOOOOOOOOOOOOOOOO888OO8888
8888888OOOOOOOOOOOOONNMMNNNNNNNDDD888O88OOOOZZ$$$$$$7$$7II7I????+??++====~==++?+++++++======~~~~~~:::::::::::::::::::::::~::::::~~~:~~~~~~~~~~=?I7ZODDNND88D8ZZZZ$ODN8NOOOOOOOOOOOOOOOOOOOOOOOOOOO888888
888888OOOOOOOOOOOOO8DNMMNNNNNNNNDD888OOO8OOOZZZ$$$$$$7$77II???++??++===~~~~=++??+++++++=~~=~~=~~~~~:::::::::::::::::::::::::::::~~::~~~~~~~~~~~=+I$Z$88DNONDDNZ8$ZZO888DOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
888888O8OOOOOOOOOOOODMMMNNNNNNNNDD8888O8OOOOOOZZ$$Z$$7$7III???+?+=+=====~~~~=++++++++===~~====~~~~~:::::::::~:~::::~::~:::::~:::~::~:~~~~~~~~~~~=+?7ZOO$DNDDDNDOOOZ7II7?IZOOOOOOOOOOOOOOOOOOOOOOOOOO8888
888888O8OOOOOOOOOOOO8MMMNNNNNNNDDD888OOOOOOOOOZZZZZZ$$$7II????++=+++====~~~~==++++++===~~~=====~~~~::::::::~~:::~~~~~::::::~~~::~:~~~~~~~~~~~~~~~=+I$O8O78N8NDDD8$77=====7OOOOOOOOOOOOOOOOOOOOOOOOOO8888
888888OO88OOOOOOOOOO8NMMNNNNNNNND8888OOOOOOOOOOOZZZZ$$$I7II????++++====~~~~~==+++=++=======+====~~~~::::::~~::~~~~~~=~~::::~~~~:~~~~~~~~~~~~~~~~~===?ZD8ZNDDDDDDD7IZ?====+ZOOOOOOOOOOOOOOOOOOOOOOO888O88
88888O8OOOOOOOOOOOO8ODNMNNNNNNNNDD888OOOOOOOOOZZZOOZZZ$77II???++==+=====~~~~~=+===++====++++++++=+===~~=~==~=====+=========~~:~:~~~~~~~~~~~~~~~~~~==+ODDO8D88888Z7I$$Z8O?=?OOOOOOOOOOOOOOOOOOOOOOOOOOO88
8888888OOOOOOOOOOOOOO8DMMNNNNNNND8888OO8OOOOOOZOZZZZZZ$$77II???++====++=~~~~~=====~++++++?????I???I??+?+??+??+++=++++=========~=:~~:~~~~~~~~~~~~~=?ZM7+I?O8OO8ZO?+=+II$ZZ+=OOOOOOOOOOOOOOOOOOOOOOOOOOOOO
8888888OOOOOOOOOOOOOOODMMNNNMNNND88888O88OOOOOOZZZZZZZ$$$7II???++====+====~~~+++++==I??II7777777I7$$I$7I?I??II??I?++II+==++=+++?==~~~~~:~~~~~~==ZNM?~?+=?$7OIIII====+?7$Z?~$OOOOOOOOOOOOOOOOOOOOOOOOOOOO
88888OOOOOOOOOOOOOOOOO8NMNNMNNNNDD88888888OOOOZZZZZ$$$$$77III?+?++=++++===~~=??++=+++I?777$Z$ZZ$$OZZ7Z$7ZZ$7I7I+???+++++?++++=~=~~~~~~~~~~~==$NND+=~==?=??7I7===~~~=++?$ZI=IOOOOOOOOOOOOOOOOOOOOOO88OO88
888O8OOO8OOOOOOOOOOOOOO8NNNMNNNNDD888888888OOOZZZZZZ$ZZ$$$$7II?++++???+=====+III=++++7I77$$7$$ZZZZZ778MO77IIII?$ND7===~=~~=~~~~~~~===~===$NNM7=~~~~~==++==++==~~~~~~==+I$$=+OOOOOOOOOOOOOOOOO8OOOOOOOOOO
8888OO8OOOOOOOOOOOOOOOOODNNNNNNNDD888888888OOOOOZZZZZZOOZZZ$$$$777II????+=++?III?++=+II7777$7$Z$$7ZNI777II??????+=~I$+~~~:~~~~======++$MNN8:~~~~~~~~===+~==+==~~~~~~==+?$7=+8OOOOOOOOOOOOOOOOOOOOOOOOO88
88888888OOOOOOOOOOOOOOOO8NMNNNNNNDD888888888ZZOOZZOOOO888OZOOOOOZ77I$Z??+??+?77?+++~==+II77I77II$8+???II??I?++==~::::=7=~:~~====++=$NMNN+~~~~~~~~~~=======~=~~~~~~~~~==?7I+7OOOOOOOOOOOOOOOOOOOOOOOOOO88
888888OO8OOOOOOOOOOOOOOOODNNNNNNNDD888D888O88$8OOOOZ8O8D888D8OZ$77Z$ZZ$ZIIII7Z$I?+=~~~~=+?I77I?M+????????+++==~~~~::~::+7=======ZMNNMI=:~~~~~~~~~~~======~~~==~~~~~~~==?7+=OOOOOOOOOOOOOOOOOOOOOOOOOOO88
88888888OOOOOOOOOOOOOOOOOONNNNNNND88888D88D888888O8O88DDDNNMNDDDMNMOZOZZ777$ZZZ7?+~~::::~+?II?M=???II???7$Z$77??III+====:O7?+?O8NM$~~~~~~=~~~~~~~~~======~==Z$7?====~~~+I=?OOOOOOOOOOOOOOOOOOOOOOO888888
88888888OOOOOOOOOOOOOOOOOO8NNNNNND88D8D8DDDDDDDD8D8D8DNOZOOOZZZZZZZZZ8ZO$ZZOOZ$7I?+~::,:~=+?IN+I7IIIIZOZO8DNNDD88D$7II7$I+O=?IZ7?=~~:::~~~~~~~~~~~=========7Z$I?+====~~=+~$OOOOOOOOOOOOOOOOOOOOOOOOO88OO
88888888OOOOOOOOOOOOOOOOOOONNMMNNND88888DNDNDDNNDD8DO$Z$7777I??II7$$$$ZZ7OD88OZ$$I=~~,,:~++=I+7$7$$ZZZOD7OOOMN=$O777$++~=I+=~=====~~~~~~~~~~~~~~~~=~=====~=?$$7?++====~~+~OOOOOOOOOOOOOOOOOOOOOOOOOOOO88
8888888OOOOOOO8OOOOOOOOOOO8DNNNNNNN8888888NNNNNDD8DOOZ$7I????+++?I?I77$ZO8+MD88OZNNOZ$87+??=8~+$ZZO888OZ$$DD887$I+==~~~~~====+=+~~~~~~~~~~~~=~~~~~=~=~======+$$7I??++=~~=~OOOOOOOOOOOOOOOOO8OOOOOOOOOO88
8888888OOOOOOOOOOOOOOOOO8888DNNNNNNND8888DDDDDDDD$8ZZ$$77II77$Z$OZ$$7$ZO8DNZDD8MOII?=~:~+$?7O+?7$7I$$$$$$$7$$7??=~~~:~~========+=~~::~~~:~~~=~~~~~~~~=~~==~~~=?777???+~~==8OOOOOOOOOOOOOOOOOOOOOOOOO8888
88888O8888OOOOOOOOOOOOOO8D88DDNNDDNNNDD888DDDDDD$8OOZ$ZZOO$7$ZOO$$$Z8DDDNNNNDNMD7II?==::,~$IZI+++I$I77I7IIIII?====~~~~:~+~~+~~~~~~~~::~:~~~~==~~~~~~~~~~===~~~~+I7I?+=~~=~Z8OOOOOOOOOOOOOOOOOOOOOOOOOO88
888888OOOOOOOOOOOOOOOOOO8DNNNNDDNNNDDNNNDDDDDDD8N888D888DNNNNND=7$$8DDD8DDDNDMNO$?++=~~:,:~OO=$$I++?III7IIIIII??+??~+=~~~~=~~~~~~~~~~~~~~~~~====~~~~~~=~====::~+?II?+=~~=~ZOOOOOOOOOOOOOOOOOOOOOOOOOOO88
88O8888OOOOOOOOOOOOOOOOO8NNNNNNNDDDD88DNNNNNNND7DDNNNNNND8N8DNDO$$$7ZZZO8DDNDNNO7II?=~~::::+$++I$I+++?+???+++++==+===~~~:~~~~~~~~~~~~~~~~~~====~~~~~~~~~===+~:=+77I+=~~===ZOOOOOOOOOOOOOOOOOOOOOOOOOOO88
888O888OOOOOOOOOOOOOOOOOODNNNNNNNDNNDD8DDNNNMM8$DNNNNND8888OOZ$$I77I7ZZO8DDDNDDOZ7?+=~~~:,,,?Z,I7??+?+++++++++++=====~:~~~::~~:~~~~~~~~~~~~=====~~~~~~~~~~=+==+???=~~~=+=+OOOOOOOOOOOOOOOOOOOOOOOOOOOO88
8888888OOOOOOOOOOOOOOOOOODNNNNNNNNDDDD888D8DDDDINNDD888OOOZZ$$777I7$$$ZO8D8DD8DOO7?+=~::,,,,,?8:~+?????++???++++========~~~~~~~~~~~~~~~~~~~~=~=~~~~~~~~=~===++==~~~~~~==~7O8OOOOOOOOOOOOOOOOO8OOOO888888
8888888OOOOOOOOOOOOOOOOOOO8NNNNNNDDDDDD888D8888D7N888OOZ$$$$777$$7$$$ZOOO88D8NOOZ7?=~~::,::,,::~=,=+++?+?+???++++++??+=~~=~~~~~~~::~~~:~~~~~~~===~~~~~~~~~===+==~~~~====~OO8OOOOOOOOOOOOOOOOO8OOOOOO8888
8888888OOOOOOOOOOOOOOOOOOOOODNNNNDDDD8DD888OO888IDO8OOOZZZZ$$$$$$$$$$ZZOO888D8OOZI+=~~::::::,,::::~::=+???++?+?????++==~~~~~~~~~::::::~~~~~~~~~~=~~~~~~~~~===+=~~~~~~==~+$O8OOOOOOOOOOOOOOOO8OOOOO8O8888
8888888OOOOOOOOOOOOOOOOOOOOOO8DNNDDDDDDD8888OOOOO+O88OZZZ$$7$$$$Z$ZZZZOOO88O8OOOZI==~:::,::::::,:,:,~=+~~~==++++??++==~=~~~~:::::::::~::~~~~~~~~~~~~~~~~~~===+~~~~~~~~==$7ZOOOOOOOOOOOOOOOOOOO88OOO88888
8888888OO8OOOOOOOOOOOOOOOOOOOOO8DDDDDDDD888OOOZZOZI?O8OOZZZZ$$$$$ZZ$ZZOOO8O8OOOOZI?=~:::::::::::,::::~~==+?++===+=====~~~~~:::::::::~~:~:~~~~:~~=~~~~~~~~~~====~~~~~=~~7ZZZOOOOOOOOOOOOOOOOOOOOO88888888
88888888O888OOOOOOOOOOOOOOOOOOOO8DDDDDDD8888OOZOOZ$O=I$$7$777777$7$ZZZOOZ8OOOOOO$7I+~~::::::::::::::~====++++++=+==~==~~~~~~::::::::~~~~~~~~~~~~~~~~~~~~~~==~=+~~~~~~=?$8OOOOOOOOOOOOOOOOOOOOO88OO8O8888
8888888888OOOOOOOOOOOOOOOOOOOOOOO8DDDDDDD8888OOOOZZ$$$++7$777777$$$ZZOZOZZOOOOOOZ$?+=~:::::::::::::~~++????I???+++====~~~:~~::::::::~~~~~~~~~~~~~~~~~~~~~~~~===~~~==~~+OD8OOOOOOOOOOOOOOOOOOOOOO8OOO8888
88888888OOOOOOOOOOOOOOOOOOOOOOOOOO8DDDDDD88888OOOZZ$$$$Z$Z$$77I7$$$$$$ZZZOOOOOOOZ7?+=~~:::::::::::~~~~=I777777I???+====~=~~:~:::::::~~~~~~~~~~~~~~~~~=~~~~~~~==+=====~=8DDOOOOOOOOOOOOOOOOOOOOOO88888888
8888888888OOOOOOOOOOOOOOOOOOOOOOOOODDDDDDD8888OOOZ$Z$$7I???????III77$$ZO8888OOOOZII+=~~:::::::~:~~~~~~=+77ZZ$$77I??++====~~~~:~:::~::~~~~~~~~~~~~~~~~~~~~~~~===+~~~~~=?888OOOOOOOOOOOOOOOOOOOOOO88888888
8888888888OOOOOOOOOOOOOOOOOOOOOOOOO8D8DDDDD88888OOZ$77II????????II77$ZO8DD888OOOZ7?+=~~:::~::::~~~~::~~=?7$ZZZ$$$7I?+?+====~~~::~~~~~~~~~~~~~~~~~~~~~~~~~~~~~===~~~~~=NO88OOOOOOOOOOOOOOOOOOOOOOO8888888
88888888888888OOOOOOOOOOOOOOOOOOOOOOD8DDD8D88888OZZ$77II???????I77$$ZO8DDD8OOOOOO7I+=~~::::::::~~:~::~~=???I$ZZZ$$77I?++====~~:~~~~~~~~~=~~~~~~~~~~~~~~~~~~~~=======+ND8O8OOOOOOOOOOOOOOOOOOOOOO88888888
8888888O888OOO88O8OOOOOOOOOOOOOOOOOO8D8D88DD8888OZZ$$7IIII???III77$Z8DDDNDO8OOOOZ$I+==~::::::::::::~~~~==~++?7$ZZZ$$II??++===~~:~~~~~~~~~~~=:~~~~~~~~~~~~~~~~===+?$DNNN8O8OOOOOOOOOOOOOO8O8OOOOOOO888888
8888888O88O8888OO8OOOOOOOOOOOOOOOOOOO8DD8DDD8888OZZ$777II????I?I7$$O8DNNNOOOOOOO$ZI+=~~:::::~~:::::~~~=~~~==+?I7$ZZ$$77I??+===~=~~~~~~~~~~~~~~~~~~~~~~~~~~~~====+7DMNNND8DOOOOOOOOOOOOOOO8OOOO8888888888
888888888888O8OOOOOOOOOOOOOOOOOOOOOOOO8D8DD8D888OOZ$77II???I?III77ZZ8DNDDOOOOOOZ$7I++=~::::::::~~~=+I=~~~~~===??I$7$$$77II?++==~~~~~~~~~~~~~~~~~~~~~~~~~~~~=~====IONNNNNDD8OOOOOOOOOOOOOOOOOO88888888888
88888888888888OOOOOOOOOOOOOOOOOOOOOOOODD88D8DD88OOZ$$77III??II??I7$ZO8DD8OOOOOOO$7I?==~~:::::~~======~~:~~~~~===??7777$$IIII++===~~~~~~~~~~~~~~~~~~~~~~=~~~~=~==++I8NNNNNNNNNND88OOOOOOOOOO8O8888O888888
88888888888888OOOOOOOOOOOOOOOOOOOOOOOO8DD8D8DD888OZ$$777III?????I7$ZO888888888OO$7I??+=~:::~~~==~~~~=~~~:::~~===++?I777IIIII++++=~~~~~~~~=~=~~~~~~~~~~~~=~~======+?IONNNNMMMMMNNNND88OOOOOOOOO8888888888
8888888O88888888OOOOOOOOOOOOOOOOOOOOOO8DDDD8DD8888OZ$$7IIIII??I?II$$ZOOOOOO88D88877I?+==~~~~~===~=~~~~~~~:~~~=====+++?IIII++++===:~~~~~~~=~~~~~~~~~~~~~~~~~~===+=++??ZDNNMMMMMMMMNNNND8OOOOOOO8888888888
8888888888888888OOOOOOOOOOOOOOOOOOOOOOODDDD88D8888OZ$$7IIII?????II77$ZZOOOO88D8D88Z$7I?+==~+II?+?+==~~~~~:~~~~~=~===+=+?II?++?++=~~~~~~~~==~~~~~~~~~~=~=====~====+?++?$NMMMMMMMMMMMMNNDDOO88OO8O88888888
888888888888888888OOOOOOOOOOOOOOOOOOOOODDDDD88D888OOZ$77IIII?????I7$$$ZZOOOOO8888888Z$II?+?I7?I??====~~~~~~~~~~~~~====??III???I+=~~~~~~~~~==~~~~~=~~~~=~=========+??+?+ZMMMMMMMMMMMMMNNND8OOOO8888888888
8888888888888888OOO8OOOOOOOOOOOOOOOOOOO8DDDD88DDD88OZ$7$7II?I???II77$ZZZOOOOO8OO8OOZ$$III???I???+?+==~~~~:~~~~~~~~~~~++?777III7?=~~~~~~~~~~~~~~~~~~~=~~==========++++??IZDMMMMMMMMMMMNNNDD8O8O8888888888
88888888888888888888OOOOOOOOOOOOOOOOOOOODDDD8DDDDD88OZ$$77II??I??II7$ZZZOOOOOOOOO$Z$7??I+++?++??++==+~~~::~:::~~~~==?7$I?I77Z$I+=~~~~~~~~~~~~~=~~~~~======~======+++?+??IONMMMMMMMMMMNNNDDDO888888888888
8888888888888888888888OOOOOOOOOOOOOOOOOODDDDDDDDDD88OOZ$7IIII?IIII?I$ZZOOOOOOZOZZZ$77??+++++++??++===~=~===++++?7Z7==+?++??I77I=~~~~~~~~~~~~~~~~~~~~~=============+??+++??ONMMMMMMMMMMNNDD88OO8888888888
888888888888888888888OOOOOOOOOOOOOOOOOOO8DDDDDDDDD88O8O$7IIII?IIII777ZZZOOOOOZZZ$$7II??++==++==+?IIIIII7$$$8NDZ?==~~~=++++?II??~~=~~~~~~~~~=~~~~~~~~=============++??+++?+?DMMMMMMMMMMNND8D8888O88888888
888888888888888888888OOO8O8OOOOOOOOOOOOOODDDDDDDDDD88OO$$II7IIII?II$$$OOOOOOOOZ$7$77I7I???I??7$$777Z87ZOZ7???+~::~~~~~===+????+=~=~~~~~~~~~~~~~~~~========~=======+?++?++??INMMMMMMMMMNNDD8888888O888888
888888888888888O88888O8OO8OOOOOOOOOOOOOOO8DDDDDDDDD88OZ$7777I7IIIII7$$ZOOOOOZOZZZZ$Z$$ZZOOOZNZZ$$Z7I?++====~~~::~~~~~~~~==???+===~~~~~~~~~~~~~~~~=================+?++++++??$ODNMMMMMNNND8D88DD8OO888888
888888888888888888888O8OOOOO8OOOOOOOOOOOOODDDDDDDDDD8O$Z77Z$I7IIII77$OOO8O888888O8DDDNDOOOOZ8Z$I??++~~~~~~:~~~:~~~~~~~~~==+++===~~~~~~~~=~~~~~~~==================+?++++++??7OODNNMMMNNDDD8DD8888O888888
88888888888888888888888OOOOOOOOOOOOOOOOOOO8DDDDDDDDDD8OZ7I$$7IIII?II7ZZODNNNNMMMNNNND8OZ$7II7I??+===~~~~:~:~~~~~~~~~~~~~~===+===~=~~~~~=~~~~~=====================+?++++++??IZO8DNNNNNNDDD88DD88DD888888
8888888888888888888888888888OOOOOOOOOOOOOOODDDDDDD8DDDOZ$777II?++???II7ZZOO888DDD8OZ$7I???????+++===~~~~~~~~~~~~~~~~:~~~~~~========~=~~~~=~~===================+==??+++=+++?IZO8DNNNNNDDDD88DDDDDDDDD888
888888888888888888888888888OOOOOOOOOOOOOOOOODDDDDD888D8O$$77II??++???I7ZZOOOOOOO888OZ7II???++++++==~===~~~~~~~~~~~~~~~~~~~~~=~~=======~=~==~=====================+??+++=+++?I$Z8DNNNNNDD8888DDDDDDDDDDDD
88888888888888888888O8888888OOOOOOOOOOOOOOOO8DDDDD888DD8OZ$7Z7?+++???II$$ZOOOOOO888OZ$77I???I+++???++=~~~~~~~~~~~~~~~~~~~~~~~~=====~=~==~===~===================++??++++++??7ZO8DNNNNDD8888888DDDDDDDDDD
888888888888888888888O8888888OO8OOOOOOOOOOOOODDDDDDD88DD8ZZ77$I?++++??I7$ZZOOOO88888OZ$7IIIII7?II??++=~=~~~~~~~~~~~~~~~~~~~~~~========~~~=======================++??+?+++???7O8DNNNNDDDD88888DDDDDDDDDDD
8888888888888888888888888888OOOOOOOOOOOOOOOOO8DDDDDD888DD8OZ$7$I?+++??$$77$ZZZOO88888OZZ77I7$7????+?+===~~~~~~~~~~~~~~~~~~~~~~~==~=~~===========================+???++++???I$8DDNNNNDDDDD8888DDDDDDDDDDD
8888888888888888888888888888888OOOO8OOOOOOOOOO8DNNDDD888DD88ZO$7II?????7$$$$$ZZZOOOOOZ$7II?I?II+????++===~=~==~~~=~==~~~~~~~~~~~==~============================++???++++??IIO8DNNNNNDDDDDD88DDDDDDDDDDDD
88888888888888888888888888888OO88888OOOOOOOOOOODDNNDDD888DDDOOZ77I???IIIZZ$$$$$ZZZZZZZ7II?I7II????+++==+==========~~~~~~~~~~~~~~=~=~=============+==========+==++++??+++??I7ODNNNNNNDDDDD8D8DDDDDDDDDDDD
888888888888888888888888888888O888OOO8OOOOOOOOOONDNNND8888DD88OZ$77IIIII$Z$$$Z$$$$$Z$$7II7???I?+?++=?++==========~~~~~~~~~~~~~~~=~=~===========~===========+===++?+?+++???I$8DNNNNNNDDDDDDDDD8DDDDDDDDDD
888888888888888888888888888888888OO8OOOOOOOOOOOOODNNNNDD8DDDDD8OZZ$7$7777Z$$$$$$777$$7I7?II?777$I???+=====++=====~~~~~~~~~~~~~~~==============================?++++++++I?I7ODNNNNNNDDDDDDDDDDDDDDDDDDDDD
8888888888888888888888888888888888O8888OOOOOOOOOO8NDNNNDDDDDDDD8OOOZZ$$$$$Z$$$7777I7IIII7I77777I????+++=+=======~~~~~~~~~~~~~~===============================+=++++++?+??I$8DNNNNNNDDD8DDDDDDDDDDDDDDDDD
8888888888888888888888888888888888888888OOOOOOOOOO8DNNNNNDDDDDDD88888OZOZZZ$$$$777I?7I7$$Z7777I??+?+++=========~~~~~~~~~~~~~================================+===+++++??II$ONNNNNNNDDDD8DD8DDDDDDDDDDDDDD
888888888888888888888888888888888888888888OOOOOOOOO8NDNNNNNNDDDDDD8D88OOOZZZ$$$7IIII$7$$$$II7I??+?==+=====~=~~=~~~~~~~~~~~~==========================+======++=++++++??I7ZDNNNNNDNDDD888DDD8DDDDDDDDDDDD
888888888888888888888888888888888888888888OO88OOOOO8DNNNNNNNNDDDDDDDDDD88OOOZ$Z$$77$$Z$Z$$7I?I??+++?=======~~~~~~~~~~~~==================================++===+=+++++?I$$8NNNNNNNDDDDDD88DDDDDDDDDDDDDDD
888888888888888888888888888888888888888888O888OOOOOOONNNNNNNNNDDDDDDDDDD88OOOOZZ$$7$$ZZZ$7II???+?+++======~~~~~~~~~~~~~=====================================+==+++++I??$ODNNNNNNDDDDDDDDDDDDDDDDDDDDDDDD
8888888888888888888888888888888888888888888888OOOOOOO8NDNNDNNNNNDDDDDDDDD88OOOOZZZZ$$ZZZ77III??+++++==~~=~~~~~~~~~~~~~=======================+=================+=+++?I7Z8NNNNNNNDDDDDDDDDDDDDDDDDDDDDDDD
88888888888888888888888888888888888888888O8O8OO8OOOOOO8NNDNDNNNNNDDDDDDDDDD88OOOOZZZ$$ZZ$III??+?+?+++========~~~~~~~====+++++================================+=+++++?I$8NNNNNNNNDDDDDDDDDDDDDDDDDDDDDDDD
88888888888888888888888888888888888888888O888OO8OOOOO8ONNDDNDNNNNNNDDDDNNNDD8888OOOZZZZ$7$II????+?++=+========~~=======+=+=======================+====+======++=+++??$ONNNNNNDDDDDDDD8DDDDDDDDDDDDDDDDDD
88888888888888888888888888888888888888888888888OOOOOOODMNNDDDNNNDNNNNNDNNNNDDD888OOZOOZZ$$777????+++++==============+++++===+~=================+============+++++++I7ODNNNNNNDDDDDDDDDDDDDDDDDDDDDDDDDDD
888888888888888888888888888888888888888888888888OOOOO8MMMNDDNNNDNNNNDNDDDNNNDDD888OOOZOZZ$$7I??????+?++++===+===+=+++++====++=======+==+===============+=+==++=+++?7ZDNNNNNNNDDDDDD