⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠤⢤⠐⢀⣈⠜⢀⠀⠀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⣒⠉⠁⠔⠉⣀⣤⠾⡯⠥⠤⠄⠒⠁⣾⣿⣿⣟⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡰⠋⣀⠞⠁⠀⢀⡴⣿⡵⢳⠢⢄⣉⠒⢠⡄⢸⣿⣿⣏⣻⣮⣿⣿⣿⣿⣧⣿⣿⢻⣿⣿⣿⠿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡰⠅⠀⣫⣖⢠⠀⠘⣻⠀⠙⣌⢦⠀⠀⠉⠉⠁⠸⣿⡿⣿⣿⣿⣿⣾⣯⣿⣿⣿⣿⣷⣿⣿⣿⣷⢿⡄⠀⠀
⠀⠀⠀⠀⠀⡐⣁⡴⣩⠈⠏⠉⠑⢦⡼⣦⠀⠈⠻⠇⠀⠀⠀⠀⠀⠈⢗⢻⠛⠏⢻⣿⣿⣿⣿⣿⣟⣟⣿⣽⣿⣿⣿⠇⠀⠀
⠀⠀⠀⠀⡰⢹⠏⡴⢁⣸⠀⠀⠀⠈⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣜⡞⠛⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀
⠀⠀⢀⠜⢠⠃⢰⠃⡘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣏⠀⠀⠀⠉⠉⢠⣾⣿⣯⣿⣿⣿⣿⣾⣿⣟⠀⠀⠀
⠀⢠⠊⠰⡇⢀⡇⠀⠻⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡦⠀⠀⠀⢠⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⢀⢇⡠⠔⣇⠞⠀⠀⢀⡄⠳⡀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⣀⣀⡀⠀⠀⡇⠀⢀⣴⡥⠊⠀⢿⣿⣿⣽⣿⣿⣿⢿⠏⠀⠀⠀
⢸⠀⠀⣠⡗⠀⠀⠀⠀⠀⢀⡷⠋⠉⠁⠉⢢⠔⠉⡀⠀⠀⠀⠀⠙⠦⣀⠬⠝⠛⠁⠀⠀⠀⠀⡉⠙⠻⠛⢀⠃⠀⠑⠢⠄⡀
⢸⠀⡰⡻⠀⠀⠀⠀⢀⠔⠊⠉⢩⡒⢤⡴⠋⠀⠈⠀⠀⠈⠑⢦⣀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠈⣣⠀⠀⠀⠀⠀
⢸⠀⠄⣇⠀⠤⠀⠀⢯⣀⣀⠤⠤⠥⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⡴⠞⠁⠀⠀⠀⠀⠀
⠸⡀⠀⠈⠓⠒⠒⠒⣏⠁⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠉⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠒⠢⢄⡀⠀⠀⠈⢿⡉⠀⠀⠀⠀⠀⡷⣀⠀⠀⠀⠀⠀⠀⠐⠋⢂⣤⠐⠒⠤⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠁⠐⠒⢍⣉⠑⠒⠒⠂⣉⡠⡬⠓⠤⣀⡀⠀⠀⢀⡠⠋⠈⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀