⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠄⠠⣤⣤⡤⢀⠀⠀⠀ ⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⣉⣐⡄⠠⠼⠻⢄⠀⠈⠑⢌⠁⠉⠀⢠⠒⠛⢥⡂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢀⠔⠉⠠⠊⠀⠈⠳⠀⠀⠑⡄⠀⠀⠱⡀⠀⡆⢠⡮⢅⡙⡌⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⠃⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠘⡄⢧⠃⢣⡶⡝⣼⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡰⠁⠀⢠⠃⠀⠀⡄⠀⠀⠀⠀⢀⠀⢱⠀⠀⠘⡀⠀⠀⠸⡀⠑⠢⠭⠽⢻⣇⣀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡠⠊⠀⠀⠀⡌⠀⢀⠞⡄⠀⠀⠀⠀⢸⠀⢸⡀⠀⠀⠇⠀⠀⠀⢧⡠⠤⣴⣺⣥⣹⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⠒⢲⠀⠀⠀⡇⣠⡿⠒⠧⣀⠸⠀⠀⣸⣀⣆⣈⣀⡀⢰⠀⠀⠀⢸⠒⠓⡏⡟⢌⢢⠑⡜⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⠀⠀⡠⠋⢸⠀⠀⠀⢹⠒⠧⠔⡫⢋⠔⠛⠯⡙⠹⠀⠀⠀⢸⠀⠀⣇⣰⠈⠁⢀⠆⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⠀⡎⠀⠀⠀⠒⠤⠔⠊⠀⠀⠀⠀⢸⠀⠀⠀ ⢹⡇ ⡆⠀⠀⠀⡜⠀⠰⠀⠇⠀⢠⠊⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡆⠱⡀⠀⠀⠀⠀⠀⠣⡠⠲⡠⠀⠀⠒⠤⠐⠁ ⡱⠀⠀⠀⢀⢇⠔⠁⠀⠘⣀⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠐⡀⠈⠑⠠⡄⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⣀⠔⡠⡄⠀⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⢄⢰⠄⣡⡀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠠⠁⢀⠊⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠢⠅⠂⠁⠀⠀⠀⠀⠀⣠⣾⠁⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠈⢿⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠴⠚⠁⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⡼⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢸⡍⠁⠀⠀⠀⠀⢳⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠳⣀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠙⢦⣤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠲⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀