.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀
⠀⠀⠀⢀⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠿⠿⢿⣷⣄⠀⠀
⠀⠀⣴⣿⠿⠛⠛⠿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠁⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀
⢀⣾⡿⠁⠀⠀⠀⠀⠀⠙⣿⣿⣄⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀
⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⣸⡿⠿⠒⠒⠤⠤⠒⠒⠛⠛⠓⠒⠒⠢⢤⣀⠀⠀⣼⡿
⢸⣿⡀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠚⢿⡁⠀⠀
⠈⢿⣧⡀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆
⠀⠀⡻⢿⣶⣤⣾⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠸⡄
⠀⢠⠃⠀⠉⠛⢻⠀⠀⠀⢰⠀⠀⠀⡼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⡞⡇⠀⢠⠃⢱⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⡇⠀⠀⠀⠀⠀⢧⠀⡇
⠀⢸⠀⠀⠀⠀⢸⢀⠇⢠⠃⠸⡀⢸⠀⠀⢣⡘⣄⠀⠀⢀⡜⠀⠀⢸⠀⢀⡴⠓⢤⣘⢦⢧
⠀⢸⠀⠀⠀⢀⣜⣜⡴⡇⠀⠀⠙⢌⡄⠀⠀⠙⢌⣆⡠⠊⠀⠀⠀⣜⠴⠋⡇⠀⢸⠀⠉⠓⠓
⠀⡼⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⢇⡀⡼
⡼⠁⡔⠸⡀⢄⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢆⣀⠤⣀⡠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣵⠃
⢇⠰⠣⣀⠑⠤⡵⣄⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⣫⠃
⠀⠉⠁⠀⠉⠉⠀⠀⣱⣦⣈⡻⡛⠒⠤⣀⣀⣀⣀⣀⣀⣀⣀⣴⠟⣏⡴⠁
⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠈⠛⢄⡀⠀⠀⠀⢠⡿⣆⢀⠎
⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠃⠀⠀⠀⠙⣦⣠⣶⡿⠀⠹⠏
⠀⠀⠀⠀⠀⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠛⠛⠛⠁
. use as a base (Not by me)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⢀⣀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢀⡠⠔⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⡇⢀⣠⣴⣾⠟⢱
⠀⠀⠀⠀⠀⡌⠈⠻⣿⣿⣦⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⢤⣽⣿⣿⣟⠡⢤⡘
⠀⠀⠀⠀⢰⠠⣒⠉⠙⢿⣿⡿⠷⣀⣠⠴⢤⣀⠀⠀⠈⠁⡀⡴⠿⢿⣿⠋⠀⣔⠁⠇
⠀⢀⡠⠔⡎⠀⢠⣃⣠⠞⠁⠀⠀⠀⠀⠀⡄⠀⠉⠑⠒⡉⠈⠀⠀⠀⠈⠑⠶⡭⠼⡄
⢠⠃⠀⠀⠇⠀⢀⠞⠁⠀⢠⠀⢠⠚⠉⡹⢳⠀⠀⠀⠀⡷⡏⠉⠙⢢⡀⠀⠀⠘⢟⠁
⢸⠀⠀⠀⢸⢠⠃⠀⠀⠀⡎⠀⠀⠀⣼⣁⠘⡀⠀⠀⠀⡇⡈⢢⣀⡀⠁⠀⠀⠀⠈⢆
⡜⠀⠀⠀⢀⠇⠀⠀⠀⢸⠀⢀⡴⠋⢉⠉⠳⣵⡀⠀⠀⣯⠞⢉⡉⠹⣆⠀⠀⠀⠀⠘⡆
⠈⠐⡎⠑⠟⠀⠀⠀⠀⡏⠀⡊⠀⠀⠀⣵⡀⠉⠑⣄⠀⠃⠀⠀⢈⣦⠹⡀⠀⢰⢦⡀⡇
⠀⢰⠀⠀⡀⠀⠀⠀⠀⡇⢠⣧⣤⣤⣾⣿⣷⠀⠀⠀⠁⣦⣤⣴⣾⣿⡆⡇⠀⢸⠀⠙⠇
⠀⢸⣦⣀⡇⠀⠀⠀⠀⡇⢸⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⡇⠀⢸
⠀⢸⣿⣿⣧⠀⠀⠀⠀⡇⠈⠳⠈⠛⠋⠐⠃⠀⠀⠀⠤⠛⠈⠛⠉⠜⠀⢇⡀⡼
⠀⠀⢿⣿⣿⣆⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢆⣀⠤⣀⡠⠀⠀⠀⠀⠀⠀⢀⣵⠃
⠀⠀⠈⠻⣿⠿⢷⣄⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣠⠔⣫⠃
⠀⠀⠀⠀⠀⠀⠀⠀⣱⣦⣈⡻⡛⠒⢴⠉⠉⠑⢤⠤⡖⠊⢁⡿⠟⣏⡴⠁
⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠈⠉⠀⠘⡄⠀⠀⢠⣠⠁⢀⠎
⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠃⠀⠀⠀⠀⣷⣠⣶⣿⠗⠔⠋
⠀⠀⠀⠀⠀⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠛⠛⠛⠃