⢀⣠⣤⣶⣶⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ╔╗─╔╦═══╦╗──╔╗──╔═══╗╔╗
⠀⠀⠀⠀⠀⢸⡿⠛⠉⠉⠙⢻⣿⣿⠋⣩⣍⠛⢿⡇⠀⠀⠀⠀⠀ ║║─║║╔══╣║──║║──║╔═╗║║║
⠀⠀⠀⠀⠀⠘⣧⣀⠀⠀⢠⣾⠛⣿⡌⠻⠞⣃⣼⠃⠀⠀⠀⠀⠀ ║╚═╝║╚══╣║──║║──║║─║║║║
⠀⠀⠀⠀⠀⠀⣼⣿⢻⣽⣿⣇⣀⣸⣿⣯⡟⢻⣧⠀⠀⠀⠀⠀⠀ ║╔═╗║╔══╣║─╔╣║─╔╣║─║║╚╝
⠀⠀⠀⠀⠀⠀⠹⣿⣮⣺⠏⢿⢹⣿⢹⠏⣶⣾⠟⢀⣀⠀⠀⠀⠀ ║║─║║╚══╣╚═╝║╚═╝║╚═╝║╔╗
⠀⠀⠀⠠⠿⢷⣦⣌⠙⠛⠷⠶⠶⠶⠶⠟⠋⢁⣴⠿⠉⣄⠀⠀⠀ ╚╝─╚╩═══╩═══╩═══╩═══╝╚╝
⠀⠀⡠⠀⠀⡀⠈⠉⢳⢤⡔⢶⣶⡞⣀⣤⠔⠛⠋⢠⠀⠈⢣⡀⠀
⠀⡜⠀⠀⠀⣀⢀⣀⣸⠤⡇⢰⣶⡄⣼⣿⠀⢀⣠⢾⠀⠀⠀⢹⡄
⠸⣇⠀⠀⠀⡌⠁⠀⠀⡇⡇⣿⣿⡇⣗⣿⡎⠉⠀⠘⡆⠀⠀⠀⡇
⠀⠈⠳⣶⠀⣇⠀⠀⠀⣿⣇⣛⣛⣃⣏⡗⠁⠀⠀⣠⡇⣀⡠⠞⠁
⠀⠀⠀⠀⠉⠛⠓⠒⠒⠋⠉⠁⠀⠀⠈⠉⡉⠉⠉⡛⠀⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠐⢠⡗⠀⠀⠀⢀⣄⠀⠀⠀⡇⠀⠀⢳⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡄⣼⠃⠀⠀⠀⢸⠘⡄⠀⠀⣿⡆⠀⠈⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣇⣿⠀⠀⠀⠀⡀⠀⡇⠀⠀⣿⣇⢀⣀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣤⣀⣭⣭⠉⠉⠀⠀⠈⠉⣭⣭⣭⡅⣀⣤⣄⠀⠀⠀
⠀⠀⠀⠸⠿⠿⠿⠧⠩⠄⠀⠀⠀⠀⠠⠭⠭⠵⠿⠿⠿⠿⠇