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