⠀⠀⠀⠀⠀⢀⡠⢄⠲⢀⠙⠂⠠⠔⡒⠠⢁⡩⠈⠲⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠼⢀⠘⠠⡘⠣⣀⠛⠄⠀⡀⠣⠄⡘⢄⠘⠻⡸⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡨⢦⠂⢅⣢⢈⣐⣄⣡⠒⠤⠨⠀⠒⠌⠔⠃⠆⠽⢇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡐⢁⣀⣈⡑⢤⠀⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀
⠀⢰⢉⣀⣀⡀⡀⠁⢂⠈⡆⠀⣀⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀
⠀⢈⠏⠎⣷⣖⡫⠶⠂⠀⢹⠝⣁⠀⢌⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀
⠀⡌⠘⠀⠁⠀⠀⠀⠀⣀⢼⡕⢜⠀⣜⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀
⢈⠀⠀⠰⢀⠀⠀⠀⡸⢇⠷⠆⢏⣀⡎⠀⠀⠀⠀⠀⣀⣀⠎⠀⠀⠀⠀⠀⠀⠀
⠀⡹⣍⢗⡅⢸⣛⡴⢡⠠⠰⠣⡘⣓⠈⠉⠉⠉⠈⠁⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢩⣵⢿⠵⠷⠏⡅⡑⠱⡑⠡⢄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠞⠇⢮⠨⣎⠗⡅⡱⠃⠑⠈⡺⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠰⣱⣼⠾⠠⡸⠄⠷⠴⣡⠬⠂⠁⠀⠀⠀⠀⣀⣤⣶⣾⣶⣶⡄⡀⠀⠀⠀⠀
⠀⠰⣄⡌⠸⠃⣁⣍⡖⢻⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀
⠀⠀⠈⠀⠃⠃⠈⢠⣾⢠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠉
⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⡿⠿⠿⠿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀