⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠿⠿⠿⠿⢶⣦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⠁⠀⠀⠀⣀⣀⣀⣈⣻⣷⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⡇⠀⠀⣾⣟⠛⠋⠉⠉⠙⠛⢷⣄
⠀ ⠀⠀⠀⠀⢀⣤⣴⣶⣿⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⢀⣀⢹⡆
⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣶⣶⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀ ⣼⡇⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⠿⠿⠛⢻⡇⡇
⠀⠀⠀⠀ ⢀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⠀⠀ ⢀⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣿⡇
⠀⠀ ⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡇⠀⣿
⠀ ⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⢸⡟⠀
⠀ ⣿⠃⠀⠀⢰⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇
⠀ ⣸⡟⠀⣴⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁
⠀ ⢠⣿⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏
⢀⣾⠃⠀⠀⠈⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁
⣸⡟⠀⠀⠀⠀⠪⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧
⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋
⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟
⣿⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡆⠀⣰⡿
⣿⡆⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠁⠀⣰⡿⠁
⢸⣧⢈⡅⠀⠀⠀⠀⠀⠀⠀⠶⠶⠋⢀⣼⠟
⠈⢻⣦⠓⠂⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠁
⠀ ⠙⠿⠶⣶⣤⣤⣶⡶⠿⠛⠉