⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠲⠋⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣷⣧⡴⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣯⠖⠀⢠⠠⣼⣦⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠉⠉⠓⠟⠟⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢀⣠⣾⠿⠁⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣗⠀⡇⠀⢄⠀⠒⠊⠙⢦⣀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⡭⠉⠉⠉⠉⠉⠙⠛⠟⠃⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠁⠀⠈⢳⡀⠀⠀⠈⢿⠿⣷⣲⣶⣶⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⢶⣦⣄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠘⣷⠚⣤⠀⠀⠀⠻⢀⠀⠀⢸⡾⠛⣭⡽⠋⢀⣠⣴⣶⣦⠄⠀⠀⠀⠀⠴⠦⠤⠴⠶⢤⡀⠉⠉⠉⠚⠻⠧⣄⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣶⣄⠀⠀⠈⣀⠀⠉⠀⠀⣹⣤⡴⠿⠟⠛⠉⠀⠀⢀⣠⠴⡖⣀⣠⣤⣤⣤⣤⣽⣂⡀⠀⠀⠀⠈⢮⣣⡀⠀⠀⠀ ⠀⠀⠻⣦⠙⠿⢧⠀⠀⣿⠆⠀⣆⣰⡏⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⣄⠀⠙⢷⡀⠀⠀ ⠀⠀⠀⠹⣶⠀⠀⢀⡈⠀⠀⣰⣿⣿⠁⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡁⠀⠈⣷⠀⠀ ⠀⠀⠀⠀⠘⣧⣤⣤⢀⣠⣮⣿⣿⠇⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⣥⠙⢦⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣾⣿⣿⣿⠃⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡀⢸⡄ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⡟⢀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠃⢼⡇ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠇⣸⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⡟⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣼⣼⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⣹⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⠟⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠿⠛⠛⠙⠁⠀⠀⡀⠀⣠⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢣⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⣞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠿⠋⠠⢼⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀