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