⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⣿⠿⣿⣿⠛⠻⣷⣤⡀⠀⠀⠀⠀
⠀⠀⠀⣠⣴⡿⠋⠁⠀⣿⣿⠀⠀⠈⠙⢿⣶⣄⠀⠀
⠀⢲⡿⠟⠉⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠉⠻⠗⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣿⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⣿⣿⠆⠀
⠀⣀⣀⣿⣇⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀
⠀⠛⢻⣿⠛⠛⢻⣿⠀⠀⠀⠀⠀⣶⡟⠉⠀⠀⠀⠀
⠀⠀⣼⡏⠀⠀⢸⣿⣤⣤⣤⣤⣤⣿⣧⣤⣤⣤⣤⠀
⠀⢠⣿⠁⠀⠀⣿⡏⠉⠉⠉⠉⠉⣿⡏⠉⠉⠉⠉⠀
⠀⠾⡿⢷⣦⣼⡿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣽⣿⣷⣄⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⣠⣾⠟⠁⠈⠻⠃⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠹⠟⠁⠀⠀⠀⠀⠀⠀⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⡿⠟⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⡇⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢹⣧⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀
⢠⡾⠛⠛⠛⠻⢿⣧⠀⠀⠈⠻⣷⡀⠀⠀⠀⢀⣤⣤
⠸⣷⣤⣀⣀⣀⣠⣿⣷⠀⠀⠀⠘⢿⣤⣶⡟⢻⣿⣿
⢸⡏⠉⠉⠉⠉⠉⣿⣿⣆⠀⠀⠀⠀⠉⣿⠁⢸⣿⣿
⠘⣷⣶⠶⠶⠶⠾⣿⡄⠉⠀⠀⠀⠀⠀⣿⠀⢸⣿⣿
⠀⣿⡁⠀⠀⢀⣀⣼⡃⠀⠀⠀⢀⣠⣤⣿⠀⣼⣿⣿