⣾⣿⠁⢸⣿⣧⠀⣿⣿⠉⠹⣿⣆⠉⠉⠉⠉⣿⣿⠟
⣿⣿⠀⠘⠛⠛⠀⣿⣿⠀⠀⣿⣿⠀⠀⠀⣼⣿⡟
⣿⣿⠀⠀⠀⠀⠀⣿⣿⣤⣾⡿⠃⠀⠀⣼⣿⡟
⣿⣿⠀⠀⠀⠀⠀⣿⣿⢻⣿⣇⠀⠀⠀⣿⣿⠁
⣿⣿⠀⢸⣿⣷⠀⣿⣿⠀⣿⣿⡄⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠂
⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⣿⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣦⠀
⠀⠀⠀⠀⠀⠀⣴⣿⢿⣷⠒⠲⣾⣾⣿⣿
⠀⠀⠀⠀⣴⣿⠟⠁⠀⢿⣿⠁⣿⣿⣿⠻⣿⣄⠀⠀⠀⠀
⠀⠀⣠⡾⠟⠁⠀⠀⠀⢸⣿⣸⣿⣿⣿⣆⠙⢿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣆⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⣿⣿⣿⣿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⠟⠀⠀⠻⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠘⢿⣿
⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀
⣿⣿⠀⠘⠛⠛⠀⣿⣿⠀⠀⣿⣿⠀⠀⠀⣼⣿⡟
⣿⣿⠀⠀⠀⠀⠀⣿⣿⣤⣾⡿⠃⠀⠀⣼⣿⡟
⣿⣿⠀⠀⠀⠀⠀⣿⣿⢻⣿⣇⠀⠀⠀⣿⣿⠁
⣿⣿⠀⢸⣿⣷⠀⣿⣿⠀⣿⣿⡄⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠂
⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⣿⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣦⠀
⠀⠀⠀⠀⠀⠀⣴⣿⢿⣷⠒⠲⣾⣾⣿⣿
⠀⠀⠀⠀⣴⣿⠟⠁⠀⢿⣿⠁⣿⣿⣿⠻⣿⣄⠀⠀⠀⠀
⠀⠀⣠⡾⠟⠁⠀⠀⠀⢸⣿⣸⣿⣿⣿⣆⠙⢿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣆⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⣿⣿⣿⣿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⠟⠀⠀⠻⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠀⠘⢿⣿
⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀