⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣳⣿⠁⠉⠛⣷⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣷⡾⣯⣿⣿⠀⠀⢀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢸⡇⡇⠈⠫⠟⢿⠀⠀⣼⣿⠃
⠀⠀⠀⠀⠀⠀⣰⣯⣿⡿⠛⢿⢿⣷⠀⠀⠀⠀⠈⢿⣯⣖⣂⣤⣄⣤⣿⣿⠏⠀
⣤⣞⠟⠿⢯⡯⣿⣟⠉⠁⠀⢸⣼⣿⠒⠂⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠹⠃⠀
⣿⣿⣄⠀⠀⢻⣿⡿⠀⠀⢀⣏⣟⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⣿⣷⣧⡀⠘⠛⠃⠀⣠⣞⣿⡯⠃⠀⠀⠀⠀⠀⠀⢀⣄⡄⡄⠀⠀⠀⠀⠀⠀
⠀⠈⢿⣟⣮⣦⡀⡀⣴⣷⡟⠃⠀⠀⠀⠀⠀⠀⠀⡴⣟⣛⠛⢿⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⣿⣿⣿⡿⠋⠀⠀⠀⡤⣄⣤⣤⣄⣾⡟⠀⠀⠁⣸⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⣷⡏⡏⠉⠉⢿⡇⠀⠀⣴⣿⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡮⡦⣀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢭⢯⣵⣿⠿⠶⡿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠵⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀