⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⣠⣾⡿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠀⣰⠋⠀⠅⢸⣯⣷⡀⠀⠀⢀⣠⣤⡶⠶⡞⢛⣿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣏⢲⠃⢦⡴⠚⠉⢹⢊⣿⡴⢞⣫⡭⣶⣺⠟⣡⣿⣃⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⣿⣿⣿⣿⣦⣿⣿⠶⢶⡟⠋⢁⣟⡭⠟⣊⣩⠴⠾⠝⠘⠻⡫⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⣿⡿⣿⣿⣶⣶⣷⣞⣽⣶⡚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠛⣷⣿⣝⡽⡟⠛⡿⢳⠻⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⠈⣯⣽⢀⣁⡞⡏⠉⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠘⠻⠿⠛⠻⢓⡆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠤⡀⠀⠀⠀⠀⠀⢀⠤⢄⣀⣀⣀⠠⠠⠤⠒⠲⣏⠤⡤⠤⠤⣤⢄⣹⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠐⠤⡀⠀⣀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠗⠢⠄⡠⡶⡴⢫⡔⢇⠈⠓⠤⠤⠤⠀⠠⠀⣀⣀⡀⠀⢀⡠⠖⠋⠀
⠀⠀⠀⠀⣀⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⢀⢔⢽⠞⠄⡫⢢⢌⠈⠀⠈⠒⢄⡀⠀⠀⠀⠀⠀⠈⠱⣰⠂⠒⢄⠀
⠐⠂⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡁⠔⠁⠀⠀⠈⠐⠣⢋⠢⢄⠀⠐⢍⠂⠀⠐⠤⡀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⣣⠀⠀⠑⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠈⠂⠀⠀⠀⠁⠀⠀⠀⠀