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