7777777777$$$$$$$$$$ZZZZZZZZOOOOOOOZZZZZZZZZZZ$$$7777777777777III???+++++=======
77777777II7$$$$$$$$ZZZZZZZZOOOOOOOOOOOOOZZZZZZ$$$7777777777777III??++++++=======
77777777III7$$$$Z$$ZZZZZZZZOOOOOOOOOOOOOOOZZZZ$$$7777777777777III??++++++=======
777777777III7$$$$$$$ZZZZZZOOOOOO88OOOZZZOOOZZZZ$$777777$777777II???+++++========
77777777777777$$$$Z$ZZZZZZOOOOOOOOZ7?+???7$ZZZ$$$777777$7777777I???+++++========
777777777777777$$$$ZZZZZZZOOOOO8DO?=?$$7?I7ZZZ$$$$77777$$77777II??++++++========
7777777777777I7$$ZZZZZZZZZOOO88887+==+?=+?7$ZZ$$$$77777$$77777II??+++++========~
7777777777777II7$ZZZZZZZOOOO88DD8I==~~==+?7ZZZ$$$77777$$$77777II??+++++====~~~~~
77777777777777I7$$ZZZZZZOOOO8DDNNZI+==+?I77$ZZ$777777$$$$7777II??++++++====~~~~~
777777777777777I7$$ZZZZZOOOO8DDNDI+?===+++I$ZZ$$777777$$$77777II??+++++======~~~
777777777777777777$$ZZZZZOOO88DDN8?======?$ZZZ$$777777$$$77777II???++++=========
7777777777777$$7777$$ZZZOOOOO8DNNN$?==~==?$ZZZ$$$77777$$$77777II???+++++========
777777777777$$$$777$ZZZOOOOO88DNNND7?+==+7ZZZZZ$$777777$$77777II???+++++========
777777777777$$$$$$7$ZZOOOOOO88DDNNNOI+==+7$ZZ$$$$$77777$777777II???+++++========
7777777777$$$$$$$$$$ZZOOOOO8OOZZZ7I?+===+++?II7777777777777777II???++++=========
$77$$$$$$$$$$$$$$$$ZZZOO888Z+=======~~~~~=======?IIII777$77777II???++++=========
$$$$$$$$$$$$$$$$ZZZZZZOO88Z?=~~==~~~~~~~~~===~~==??III777777777I??++++==========
$$$$$$$$$$$$$$$ZZOZZZZZO88$+====~===~~~~~~~~~=~~=+???II7777777II??+++===========
$$$$$$$$$$$$$$ZZZOOOZZZO8OI==~~~==~~~~~~~~==~~~~~=+????IIIIIIIII??+++===========
ZZZZ$$$$$Z$$ZZZZOOOOOOZO8OI==++=~~~:::~~~~~~~~~~~==+++++???IIII??++++===========
ZZZZZZZZZZZZZZOOO88OOOO88O?==+?=:,,,,,::::::==~~~=+++??????III???++++===========
ZZZZZZZZZZZZZZOOOOOOOOO88O?=~++~:,,::::,,,,:~=~~===+++++++???????+++++=======+++
ZZZZZZZZZZZZZOOOOOOOOO888O+=~=+=~:::::::::::~==~===++++++++???????++++++++++++++
ZZZZ$$ZZZZZZOOOZZOOOO8888Z+~~++==~~~~::::~~~==~~==+++++???IIIIII????++++++++++++
ZZZ$$$$$ZZZOOOZZZOOO88888$+==+?===~~:::::~~~~~~~~~===+++++++??I?????++++++++++++
ZZZ$$$$$ZZZOOZZZZOOO888887+==+?===~~~~:~~~~~~=~~~~===+++++++????????++++++++++++
ZZZ$$$$$ZZOOOZZZZOOO8888Z?+=+?I+=~~~~~~~~~=====~===++++????IIII?????++++++++++++
ZZZ$$$$ZZZOOZZZZZZOO8O887+==+I?=~~~~~~~~~~=====~~=====+++++++??????+++++++++++++
ZZZ$$ZZZZOZZZZZZZZO8OO88I+==?I+=~~~~~~~~~~~~~==~~=====+++++++?????+??+++++++++++
ZZ$$$ZZZZZZZZZZZZOO8OO8O?==+??=~~~~~::~~~~~~~~==~===++++++++???????????+++++++++
$$$$ZZZZZZZZZ$ZZZO8OOO8Z?==?I==~~~::::::~~~~~~~~~~~=+++++++++????I????++++++++++
ZZ$ZZZZZZZZZZZZZO88OOO8Z?++7?=~~~::::::::::::~~~=~~=+++++++++?????????++++++++++
ZZZZZZZZZZZZZZZOO88OOO8Z?+?$+=~~::::::::::::::~~=~~=++++++++???????????+++++++++
ZZZZZZZOZZZZZZZO88OOO88OI?7$+=~~~:::::::::::::~~==~=+++???????IIII??????++++++++
ZZZZOOOZZZZZZZZO8OOOO88O?I$$+~~::::::::::::::~~~==~=====+++++++???????????++++++
ZZZZOZOZZZZZZZO88OOOO88OIIZ$+~~~:~~=+====~~:~~~~=======++++++++????????????+++++
ZZZOOOOZZZZZOOO88OOOO88ZI?$$+~~~:~~=++??+=~~~~~~=====+++++++++???????????+++++++
ZZOOOOOOZZZOO8888OOO8D87?+7Z+~~::~~~=???+==~~~~~====++?????????IIIIIII????++++++
ZOOOOOOZZZZOOOOZZZZZZO$?+?$$+~~:::~~=+?==~~~~~~~=++++++++++++??????????????+++++
ZOOOOOOOOZOOOOOZZZZ$ZO$?7I$$+~~:::~~==?==~~~~~~~=+??++++?+++++++???????????+++++
OOOOOOOOOOOOOOOOOZZZZ8O7II$Z?~~::~~~=+?+==~~~~~==??+++?????????????I????????++++
OOOOOOOOOOOOOOOOOZZZZO88$I7ZI=~:~~~==+?+===~~~==+I??????????????????II???????+++
8OOOO888O888888OOOOOO888888O$+~~~~~==+??=======+?I??IIIIIIIIIIIIIIIIIIIIII??????
88OOOOOOOOOOOOOOOOOOOOOO8888Z?=~~~~~=+??======+++??++++++++++++?+???????????????
OOOOOOOOOOOOOOOOOOOOOOOOOOO8OI=~~~~~=+?I+=====+++++++++++++++++++?????????????++
88OOOOOOOOOOOOOOOOOOOOOOOOO88$?=~~~~=+?I======++++++++++++++++????IIIII?????++++
888888OOOOOOOOOOOOOOOOOOOOOO887+~~~~=+?I======++++++++++++++?????????II?I??????+
8888OO888OOOOOOOOOOOOOOOOOO88DZI=~~~=+?I+==~==+++????????IIIIIIIIIIIIIIIIIII????
88888888888O88888888888888OO8NDZ+~~~=+?I+=====+?I???IIIIIIIIIIIIIIIIIIIIIIII????
8888888OOOOOOOOOOOOOOOOOOOOOO8N8I+==++?I++===+???????????????????IIIIIIIII??????
8888888OOOOOOZZZZZZZZZZZOOOOOOD8I++++++I??+???I?????????????????IIIIIIIIIII?????
88888888OOOOOOZZZZZZZOOOOOOOOOD8$?+++++???????IIII?I?I??????????IIIIIIIIIII?????
8888888OOOOOOOOOOOOOOOOOOOOOOO88ZI+++++??????IIIIIIII????????????IIIIIIIIII????+
88888OOOOOOOOOOOOOOOOOOOOOOOOO8DOI+=+++IIIIIIIIIIIII?????????IIIIIIIIIIIIIIIIII?
888888OOOOOOOOOOOOOOOOOOO888888887+===+?I77777IIIIIIIIIIIIIIIIIIIIIIIIII77IIIIII
88888OOOOZZZZZZZZZZZZZZZZZOOOOO887+===+?I777IIIIIIIIIIIIII?????I?II??IIIIIIIIIII
8888888OOZZZZZZZZZOZOZOOZZZZOOO8D$?===++IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
88888888OOOOOOOOOOZOOOZZZZOZZOOO8Z?===+?IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII777I7III
8D888888OOOOOOOOOOOOOOOZZOOOOOOO88I+==++??IIIIIIIIIIIIIIIIIIIIIIIIIIII77777777II
8DD88888OOOOOOOOOOOOOOOOOOOOOOOO88$?==++??IIIIIIIII7IIIIIIIIIIIIIIIII777777777II
888888OOOOOOOOOOOOOOOOOOOOOOOOOOO8OI+==+?+?IIIIIII7IIIIIIIIIIIIIIIIII7777777777I
88888DD8DDDDDDDDDDDDDDDDDD88888DD88$?==+I??7777777$$$$$$$$$$$$$$$$$$$$$$$$$$$$$7
D88888D8888888888888888888888888DD88I++?7$ZZ$777777777$$$$$$$$$$$$$$$Z$$$$$$$$$$
888OOOOOOOOOOOOOOOOOOOOOOOOOOOOOO888$?++7$$777777777I7IIIIIIII777777777777777777
8888OO88O8888OO8OOOOOOOOOOOOOOOOOO88OI++7$$$$$$$$$$$7$77777$$7$$7$$$$$$$$$$$7777
8888OO8O888888O8OOO888888OOOOOOOOO888$?+7$Z$Z$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$777
8888O8O8O88888888O88888OOOOOOOOOOOO88Z??I$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$Z$$$$7777
888OOOOO88888888OOOOOOOOOOOOOOOOOOOOO$I?I$ZZZZ$$$$Z$$$$$$$$$$$$$$$$$$$$ZZZ$$$777
88888O888OO888O888O88888888888OOOOOZZI??7ZZZZ$$$$$$$$$$$$$$$$$$$$$$$$$$$ZZ$$$$$7
DDDDDDDDDDDDDDDDDD8DDDDDDDDDDDDD88OZ7777$ZZZZ$$ZZ$ZZZZZZZZZZZZZZZZZZZZZZZZZ$$$$$
D8888D8DDDDDDDDDDDDDDDDDDDDDDDD88$77I7ZZZZZ$$$$$$$$$$$$ZZ$$$$ZZZZZZZZZZZZZZZZZZ$
888D8888888888888888888888OO88OO88Z$ZOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
OOOO8O888OOOOOOO88OO88OOOOOOOOOOOOZZZZZZZZZZZZZZZZZZZZOOOOOOOOOOOOOZZZZZZOOOZZZZ
88OOOOOOOOO8888888888888OOOO88O88888OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOZZZ
8888888888888888888888888888888888888888888O8OOO8888O8OOOOOOOOOOOOOOOOOOO888OOOZ
888888888888888888888888888888888888888888888888888888888888888888888888888888OO
88888888888888888888888888888888888888888888888888888888888888888888888888888888
8888888888888888888888888888888888888888888888888888888888888888888888888DDD8888
8888DDDDDDDDDDDDDDDDDDDDDDDDD8888888888888888888888888888888888888888888DDDD8888
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD888888888D88D8DDDDDDDDDDDDDDDDDDDDNDDDDDDNNDDDD8
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNDDDDDDDDDDDDDDDDDNNNNDDDNDDDNNDDDDDDNDNnext