⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠀⠀⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣞⣀⣀⡀⠀⢀⣀⣀⣀⡀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡌⢾⣿⡇⠀⠀⠰⣿⣷⠀⠀⠀⠀⢀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡇⠀⠉⠀⠀⠀⣠⣬⣵⣤⣄⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠴⢿⣿⣿⣿⣿⠟⡣⡀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠈⠉⠉⠉⠁⠂⢁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⢦⣤⣀⡀⠀⠈⠒⠤⣀⣀⡀⣀⣀⠤⠐⠳⣦⣤⣤⣤⠶⠶⠶⢦⣤⡀⠀
⠀⠀⠀⠀⠈⠉⠙⠛⠻⠶⠶⠶⠶⠶⠶⠶⠶⠾⡟⠋⠻⣶⡒⠒⠦⠤⡤⡈⢻⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠘⣷⠀⠀⠀⡇⡇⣸⠇
⠀⠀⠀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣖⣺⢻⣝⣋⣽⣳⣶⣶⣿⣦⡴⣼⢷⡟⠋⠀
⠛⠛⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠳⣌⠉⠉⠉⣡⠞⠉⠉⠛⠳⢶⣼⢸⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣕⡋⠘⠐⠂⡑⠃⠉⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢻⠃⢀⡤⠰⡎⠈⣉⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⢀⡎⠀⠠⣀⠀⠈⠉⠁⠠⢄⠈⡗⠲⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢥⣦⠶⣗⢩⣰⢈⢁⠀⣀⠀⠀⢀⠨⢠⠇⠀⢹⢳⡉⣓⣶⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠉⠙⠢⠥⣄⣀⣀⣀⣤⠴⠋⠀⠀⢸⡎⣿⡀⠀⢹⣏⠉⠉⠒⢦⠀
⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⢸⣇⣴⠈⣿⡄⠀⢀⠻⠀
⣠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⣶⣭⣽⣻⣻⣯⣽⣿⣿⣀⣻⡇⠀⠀⡅⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠋⠳⣀⣀⣀⣀⣀⣠⠞⠃⠀⠀⠉⠉⠉⠙⠓