⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠉⠉⠓⠛⠿⢷⣶⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠘⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠉⠳⡄⠀⢀⣀⣀⡀⠀⣸⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠰⠆⣿⡞⠉⠀⠀⠉⠲⡏⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⣀⡴⠛⡇⠀⠈⠃⠀⠀⡗⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣱⠃⡴⠙⠢⠤⣀⠤⡾⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣇⡼⠁⠀⠀⠀⠀⢰⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣸⢠⣉⣀⡴⠙⠀⠀⠀⣼⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠈⠁⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⠤⠚⣶⡀⢠⠄⡰⠃⣠⣇⠀⠀⠀⠀⠀⠀
⠀⢀⣠⠔⣋⣷⣠⡞⠀⠉⠙⠛⠋⢩⡀⠈⠳⣄⠀⠀⠀⠀
⠀⡏⢴⠋⠁⠀⣸ ⣹⢦⣶⡛⠳⣄⠀⠀
⠀⠙⣌⠳⣄⠀⡇ ⡏⠀⠀⠈⠳⡌⣦⠀
⠀⠀⠈⢳⣈⣻⡇ ⠀ ⢰⣇⣀⡠⠴⢊⡡⠋⠀
⠀⠀⠀⠀⠳⢿⡇ ⠀⠀⢸⣻⣶⡶⠊⠁⠀⠀⠀
⠀⠀⠀⠀⠀⢠⠟⠙⠓⠒⠒⠒⢾⡛
⠀⠀⠀⠀⣠⠏⠀⣸⠏⠉⠳⣄⠀⠙⢆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡰⠃⠀⡴⠃⠀⠀⠀⠈⢦⡀⠈⠳⡄⠀⠀⠀⠀
⠀⠀⣸⠳⣤⠎⠀⠀⠀⠀⠀⠀⠀⠙⢄⡤⢯⡀⠀⠀⠀
⠀⠐⡇⠸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⢳⠀⠀⠀
⠀⠀⠹⡄⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠸⡆⠀⠀
⠀⠀⠀⠹⡄⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⣧⠀⠀
⠀⠀⠀⠀⢹⡤⠳⡄⠀⠀⠀⠀⠀⠀⠀⢀⣷⠚⣆⠀
⠀⠀⠀⡠⠊⠉⠉⢹⡀⠀⠀⠀⠀⠀⠀⢸⡎⠉⠀⠙⢦⡀ ⠀⠀
⠾⠤⠤⠶⠒⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠙⠒⠲⠤⠽