⠀⠀⠀⣄⡏⠈⢗⡀⠀⠀⠀⠀⠀⣠⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡟⠀⠀⠈⢿⡆⢀⠀⣠⠞⠙⠙⢳⡀⠀⠀⠀⠀⣠⠊⠉
⠀⣾⠟⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀⠀⠈⣇⠀⠀⠀⡰⠁⠀⠀⢸
⢨⡏⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⠇⠀⠀⠀⡼
⠸⡆⠀⠀⠁⠀⠀⠀⠀⠀⢠⣿⡃⠀⠀⢀⠇⠀⠀⢰⠀⠀⠀⢰
⠀⠉⢢⣀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⡔⠋⠀⠀⠀⢘⠀⠀⢀⠇⠀
⠀⠀⠀⠈⣯⠓⠦⣄⣠⠤⠤⠒⡎⠁⠀⠀⠀⠀⠀⡇⠀⠀⡜⠀⠀
⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠹⣂⠀⠀⠀⠀⢠⠁⠀⠀⡇
⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢀⠇⠀⠀⠀⠇⠀⠀
⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⡀⠀⢷⡀⠀⡎⠀⠀⠀⢀⠃
⠀⠀⠀⠀⡆⠀⢀⠀⠀⡆⠀⡇⠀⠀⠀⢃⡎⠀⠀⠀⠀⡎
⠀⠠⣇⡀⡎⠀⢰⢁⣀⡇⠀⠀⠀⠀⠀⠀⣀⡔⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠉⠉⠛⠸⠤⢤⣀⡠⠖⠒⠚⠉⠁

░░░░░░░░░▄▀░░░░▄▀░▄▀░▄▀▄
░░░░░░░▄▀░░░░▄▀░▄▀░▄▀░░░▀▄
░░░░░░░█▀▄░░░░▀█░▄▀░░░░░░░▀▄
░░░▄▀▄░▀▄░▀▄░░░░▀░░░░▄█▄░░░░▀▄
░▄▀░░░▀▄░▀▄░▀▄░░░░░▄▀░█░▀▄░░░░▀▄
░█▀▄░░░░▀▄░█▀░░░░░░░▀█░▀▄░▀▄░▄▀█
░▀▄░▀▄░░░░▀░░░░▄█▄░░░░▀▄░▀▄░█░▄▀
░░░▀▄░▀▄░░░░░▄▀░█░▀▄░░░░▀▄░▀█▀
░░░░░▀▄░▀▄░▄▀░▄▀░█▀░░░░▄▀█
░░░░░░░▀▄░█░▄▀░▄▀░░░░▄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠈⠉⠉⠉⠉⠒⠀⠀⠤⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠑⡄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⠣⣶⣿⡏⣶⣿⣿⠷⠶⠆⠀⠀⠘⠀
⠀⠀⠀⠀⠀⠀⠠⠴⡅⠀⠀⠠⢶⣿⣿⣷⡄⣀⡀⡀⠀⠀⠀⠀⠀⡇⠀
⠀⣰⡶⣦⠀⠀⠀⡰⠀⠀⠸⠟⢸⣿⣿⣷⡆⠢⣉⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢹⣧⣿⣇⠀⠀⡇⠀⢠⣷⣲⣺⣿⣿⣇⠤⣤⣿⣿⠀⢸⠀⣤⣶⠦⠀⠀
⠀⠀⠙⢿⣿⣦⡀⢇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡜⣾⣿⡃⠇⢀⣤⡀⠀
⠀⠀⠀⠀⠙⢿⣿⣮⡆⠀⠙⠿⣿⣿⣾⣿⡿⡿⠋⢀⠞⢀⣿⣿⣿⣿⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠛⢿⠇⣶⣤⣄⢀⣰⣷⣶⣿⠁⡰⢃⣴⣿⡿⢋⠏⠉⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⣿⣿⣞⠿⣿⣿⢿⢸⣷⣌⠛⠋⠀⠘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⣿⣿⣿⣶⣶⣿⣯⣿⣿⣿⣆⠀⠇⠀⠀

_+880_____________________________
_++88_____________________________
_++88_____________________________
__+880_________________________++_
__+888________________________+88_
__++880______________________+88__
__++888_____+++88__________+++8___
__++8888__+++8880++88____+++88___
__+++8888+++8880++8888__++888___
___++888++8888+++888888++888___
___++88++8888++8888888++888____
___++++++888888888888888888____
____++++++88888888888888888____
____++++++++000888888888888____
_____+++++++000088888888888____
______+++++++00088888888888____
_______+++++++088888888888_____
_______+++++++088888888888_____
________+++++++8888888888______
________+++++++0088888888______
________++++++0088888888_______
________+++++0008888888________
________666666666666666________

$_____________________$__________________________$
$____________________$$$_________________________$
$__$_________________$$$________________$________$
$___$$______________$$$$$_____________$$_________$
$____$$$____________$$$$$___________$$$__________$
$_____$$$$$_________$$$$$________$$$$$___________$
$______$$$$$$$______$$$$$_____$$$$$$$____________$
$________$$$$$$$____$$$$$___$$$$$$$______________$
$___________$$$$$____$$$___$$$$$_________________$
$__$$$$$$$______$$$__$$$__$$$______$$$$$$$_______$
$______$$$$$$$$____$$_$_$$____$$$$$$$$___________$
$__________$$$$$$$$$_$$$_$$$$$$$$$_______________$
$_________________$$$_$_$$$______________________$
$_____________$$$$$___$___$$$$$__________________$
$_____________________$__________________________$

⢕⢕⢕⢕⢕⠕⠕⢕⢕⢕⢕⢕⢕⢕⢕⢕⢕⠕⠁⣁⣠⣤⣤⣤⣶⣦⡄⢑
⢕⢕⢕⠅⢁⣴⣤⠀⣀⠁⠑⠑⠁⢁⣀⣀⣀⣀⣘⢻⣿⣿⣿⣿⣿⡟⢁⢔
⢕⢕⠕⠀⣿⡁⠄⠀⣹⣿⣿⣿⡿⢋⣥⠤⠙⣿⣿⣿⣿⣿⡿⠿⡟⠀⢔⢕
⢕⠕⠁⣴⣦⣤⣴⣾⣿⣿⣿⣿⣇⠻⣇⠐⠀⣼⣿⣿⣿⣿⣿⣄⠀⠐⢕⢕
⠅⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠐⢕
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠐
⢄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆
⢕⢔⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢕⢕⢄⠈⠳⣶⣶⣶⣤⣤⣤⣤⣭⡍⢭⡍⢨⣯⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿
⢕⢕⢕⢕⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣦⣤⣿⣿⣿⣦⣈⠛⢿⢿⣿⣿⣿⣿
⢕⢕⢕⠁⢠⣾⣶⣾⣭⣖⣛⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⢸⣿⣿⣿⡟