⠀ ⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀ ⠀⠀⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀ ⠀⢠⡟⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⢰⡟⠀⠀⠈⠻⣷⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⡟⠀⠀⠀⠀⠀⠈⢻⡿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠻⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀
⣾⡁⢀⣠⠴⠒⠲⣤⣠⠶⠋⠳⣤⣸⣿⣰⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀
⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠏⣿⡿⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢠⣾⣿⣿⣿⠋⢹⡇⠀⠀⠀⠀⠀⠀
⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⣿⠁⠀⠙⣿⡛⠛⢿⡶⠶⠶⠶⣿⣄⣀⣰⠃⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⣿⠀⠀⠀⠈⢷⡀⠘⠛⠀⠀⠀⠀⠈⠉⠳⣄⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⢀⣿⣇⣀⠀⢻⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣾⠃⠀⣤⣤⣄⠀⠀
⠀⠀⠀⠉⠻⢶⣄⣠⣴⠞⠛⠉⠉⠙⠻⢾⣇⠀⢀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⣿⢩⡿⣿⡆
⠀ ⠀⠀⠀⣠⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢹⡷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣟⣵⡿⠁
⢀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⣴⣿⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⣸⡇⠀⠙⠋⠁⠀⠀
⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⣈⣀⣙⣁⠀⠀⣶⣾⡶⠀⠻⠿⠀⢠⣿⣁⡀⠀⠀⠀⠀⠀
⠈⠛⠻⠿⠶⠶⠶⡤⣤⣤⣤⣄⣀⣤⣀⣠⣤⣀⣀⣹⣿⣿⣿⣿⣤⣽⣿⣴⣶⣶⡦⢼⣿⣿⣿⣿⠇⠀⠀⠀⠀