Keyboard Cat Emojis & Text

Copy & Paste Keyboard Cat Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠈⠻⣮⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠋⠀⠀⠀⠀⠙⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⣤⣀⡀⠀⠀⣀⣴⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀ ⢀⣤⣾⡿⠟⠛⠛⢿⣿⣶⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣀⣀⣤⣶⣿⡿⠿⢿⣿⡀⠀ ⣿⣿⠏⠀⢰⡆⠀⠀⠉⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡿⠟⠋⠁⠀⠀⢸⣿⠇⠀ ⣿⡟⠀⣀⠈⣀⡀⠒⠃⠀⠙⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀ ⣿⡇⠀⠛⢠⡋⢙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⣿⣧⠀⠀⠀⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⢸⣧⣤⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀ ⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠻⣷⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀ ⠈⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⣶⣤⣤⣀⡀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣻⣷⣶⣾⣿⣿⡿⢯⣛⣛⡋⠁⠀⠀⠉⠙⠛⠛⠿⣿⣿⡷⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡐⠀⠀⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⠇⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠐⠀⠀⠀⢂⠀⠀⣽⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠐⠀⠁⠠⠀⠀⣾⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⠄⠠⠀⠀⠹⣿⢸⣽⡏⢿⠀⠿⣿⠉⠘⠿⣿⡛⢿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠠⢈⠀⠁⠀⠀⢿⡀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⠿⠃⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⡌⠀⠂⠀⠀⠀⠾⠿⣾⣧⡄⣠⣤⠀⢀⡀⣠⣤⣴⡏⠀⠀⠀⣆⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡅⢀⣾⠀⠀⠀⠀⠀⠀⠘⢻⣿⡀⢱⣧⡿⢿⣧⣴⣾⠿⠦⠶⢿⡄⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣼⠏⠀⢀⡏⠐⠀⠀⠀⠀⠈⢷⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣼⠏⠀⠀⣀⠀⠀⠀⠀⠀⠀⣀⣼⣧⣀⡀⠀⠀⠀⠀⠀⠀⣄⠀⠘⣿⣤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣼⡟⠀⣀⡾⠃⠀⠀⠀⠀⣠⡾⠋⠁⠈⠙⠃⠀⠀⠀⠀⠀⠀⢻⣄⠀⠘⣿⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣿⠟⠀⠈⠉⠁⠀⠀⠀⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠙⢷⡀⠘⣿⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠘⠁⠀⠀⠀⠁⠀⠀⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣬⣿⣄⡉⠉⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠘⠉⠒⠈⠀⠀⠈⠙⠛⠒⠂⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠰⠟⠉⠀⠁⠀⠉⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⡠⠖⠀⠀⠀⠀⠀⢀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⣰⡀⠀⠀⠀⠀⠀⣠⡿⠋⠁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠰⠋⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡞⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⡇⠀⠀⢀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠘⡆⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢶⣄⠀⠀⠀⠀⠀⠀⣿⡿⠀⣀⠀⣸⡇⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⣀⠀⠀⠀⢠⣿⡇⢠⡇⠀⢻⡇⠀⠀⠀⠀⣠⠄⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡄⠀⠀⠀⠀⢀⣰⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠄⠀⢠⡾⣿⡇⣾⡇⠀⢸⡇⠀⠀⣴⠟⠁⠀⠀⠀⢀⡄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿ ⣿⣀⣠⣠⣤⣾⢻⣿⣿⣡⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠘⠷⢠⣼⣧⣿⣷⢻⣇⠀⢸⡇⠀⣼⠋⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠉⠉⠛⢿⣿⣿⣿⣿⠿⠟⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣟⠿⣿⣿⣿ ⣿⣿⣿⣿⣿⠃⢸⡇⠹⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠁⠀⠉⠙⣿⣿⣄⢸⣧⣼⣏⣀⣀⠀⢀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣶⣄⣀⣴⣿⣿⣿⣿⣿⣷⣭⣛ ⣿⣿⣿⣟⣿⠁⠸⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⣿⣿⣿⣿⣟⣛⣻⣿⣽⣿⣿⢾⣷⠄⠀⠀⠀⠀⣸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣿⣿⣷⣿⣻⢿⣿⣿⣿⣿⣿ ⣿⣿⢻⣾⡟⠀⠀⠹⡆⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⢀⣼⠟⠋⠁⠈⠙⣿⣿⡟⠙⠻⢶⠄⠀⣤⠀⠀⠈⠉⠁⠀⠀⠛⠛⠛⠻⢶⣦⣤⡀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡍⠛⢿⣿⣿⣿⣿⣿⣷⣮⣙⠻⢿⣿ ⡿⣏⣿⣿⠁⠀⠀⠀⢻⡆⣿⡆⠸⣧⣀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣸⠇⣤⠀⠀⠀⠀⠀⢀⣾⣿⣷⣰⡿⠁⠀⠀⠀⠀⢰⣿⢿⡇⠀⠀⠀⠀⠀⡛⠀⠀⠉⠉⠃⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠈⠻⣦⣄⠀⡀⠀⠀⣄⠀⠀⠀⢸⣇⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣷⣦⡉ ⢯⡝⣾⡟⠀⠀⠀⠀⢺⣿⣌⣧⡀⠉⠿⣷⣄⠀⣀⠀⢿⣿⠛⢷⣦⣤⣀⡀⠀⠀⠐⠬⣉⢇⡚⣤⢒⣷⡀⠀⣿⠚⡇⠀⠀⠀⠀⠀⣸⡟⣿⡿⠋⠀⠀⠀⠀⠀⠀⣸⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠈⠻⣶⣧⣤⣾⣟⣀⣤⣠⣾⣿⣷⣄⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿ ⢮⡝⣿⠇⠀⠀⠀⠀⣿⡿⢿⡞⣷⡀⠀⢩⣿⣯⡼⡆⠸⣿⡁⠂⠁⠈⠉⠛⠟⠳⢶⣦⣤⣠⣹⣤⣯⡾⢷⡄⣠⣾⡇⠀⠀⠀⠀⣰⡟⢸⣿⠁⠀⠀⠀⢀⠀⠰⣶⣯⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠄⠀⢡⡀⠀⠢⠀⠀⠀⢽⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⣀⣌⣿⣿⣿ ⢸⣽⣿⠀⠀⠀⠀⠀⣿⣯⢹⣷⣸⣿⣦⠀⢿⣟⣻⣿⢠⣿⣿⣷⡄⢦⣴⣼⣿⣿⡿⠷⠟⠛⠋⠉⠀⠀⠀⠀⠉⠙⠻⠶⠆⠀⣴⣿⡀⣻⣿⠀⠀⠀⠘⢿⣯⣽⣿⣿⣿⣷⣶⣤⣀⣠⣄⣠⣤⣀⣀⠀⡀⠀⠀⣷⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⢰⡄⠀⣿⣿⣿⣿⣷⣤⡀⠙⠻⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿ ⣻⣿⣿⠀⠀⠀⠀⢀⣿⣧⢻⡯⣽⣿⣿⣷⡀⠉⣈⣽⣾⣿⣿⡿⠟⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣶⣿⣯⡀⠀⠀⠀⠺⠛⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠀⠀⠀⠈⣿⠀⠀⠀⣿⢀⣿⢿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⣻⡿⢣⣿⣇⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣧⡀⠀⢰⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠙⠿⣿⣿⣿⣿⣿⣿⣏⡻⢶⣄⣀⣠⣼⣆⣀⣴⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⣀⣠⣿⣷⡿⠿⠟⠛⠉⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣄⡀⠀⣴⣿⣿⣿⣿⣿⣷⣄⠉⠻⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⠙⢿⣿⣿⣿⣿⣿⣦⣀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠀⠀⠙⠉⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣦⡀⠙⢿⣿⣿⣿⣿⣿⣷⣄⡈⠙⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣦⣀⠉⠿⣿⣿⣿⣿⣿⣿⣦⡀⠉⠻⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣄⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣦⣄⠈⠻⢿⣿⣿⣿⣿⣿⣦⡀⠈⠙⢿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⣤⡀⠀⠙⢿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣷⡀⠀⠙⠻⣿⣿⣿⣿⣿⣦⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣾⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣷⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡟⠀⠈⠻⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠃⠙⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠟⢦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠏⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡿⠁⠀⠀⠈⢿⠉⠙⠲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠸⣷⣦⣄⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⣀⣀⣰⣿⣿⣿⡏⠀⠀⠀⠀⠀⠘⠉⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⢄⢶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⡄⢠⢹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠊⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣀⣀⣀⣀⣀⣄⣄⣤⡸⢿⠟⠿⠻⠿⠛⠛⠛⠛⠛⠑⠶⠦⣴⠚⠉⠁⢸⡾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⠁⢱⢀⢀⣏⡶⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢰⣆⠱⡈⢷⠁⠀⢰⡷⡆⢹⣆⣀⣀⣾⠁⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣸⣿⣿⣿⠀⢸⡇⠠⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣏⠝⣦⡀⠀⠻⣶⣽⠏⠀⣠⡿⣰⡿⠀⠈⠉⠉⠁⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⣿⣿⣿⡇⠈⢹⡄⢡⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣦⠝⣦⡀⠈⠁⠀⢠⣿⣷⠏⠀⠀⣴⣇⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣛⢻⡏⠀⠀⠘⣇⠂⢆⠀⠀⠀⠀⠀⠀⠀⢸⡿⣆⡀⠀⠈⠻⠟⠁⠀⠀⠀⠀⠉⠁⠀⠀⢼⢃⠿⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠂⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣛⡆⣿⠀⠀⠀⣿⡘⢄⠂⠀⠀⠀⠀⠀⠀⠸⣧⢘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡥⠶⠦⣄⠀⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣿⣏⡖⣻⠀⠀⠀⢸⡧⢌⡀⠀⠀⠀⠀⠀⠀⣠⡴⠦⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠋⢀⣄⠀⠈⠙⢦⡘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣷⡹⢼⡅⠀⠀⠈⢷⢂⠄⠀⠀⠀⠀⣰⠞⠁⠀⢀⡀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⢀⣿⣿⣆⠀⠀⠈⢷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⢱⢩⣧⠀⠐⠀⢸⡇⢂⠀⠀⢀⡼⠁⠀⠀⢰⣿⣿⣆⠀⠀⢳⡀⠀⠀⠀⠀⠀⢀⡏⠀⠸⣿⣿⣿⡆⠀⠀⢸⣾⣿⣧⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⣿⣿⡇⡖⣿⠀⠀⡀⠀⣿⠠⠀⠀⣾⠁⠀⠀⠀⣼⣿⣿⣿⡄⠀⠀⢳⡀⠀⠀⠀⠀⢸⡇⠀⠀⢿⣿⣿⡇⠀⠀⣾⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⠐⣹⠀⠀⢀⠀⢸⡗⡀⠀⠻⡆⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⢈⣧⢀⣀⣠⣤⣬⡷⣄⠀⠀⠻⡟⠀⠀⣰⣟⣋⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⣷⠩⢼⡄⠈⠀⢀⠀⣿⠄⠀⠀⠹⣄⠀⠀⠈⢿⣿⡿⠀⠀⢀⣾⣷⠋⠹⢩⠀⢈⡝⠺⡙⠲⠦⠤⠶⠚⠁⢹⣻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⠱⡸⡇⠀⠠⠀⢀⢸⣏⠀⣴⣶⣽⢦⣀⠀⠀⠙⠁⣀⡴⢋⡏⠈⣧⣠⡿⣦⠾⠃⠀⢹⡄⠀⠀⠄⡠⠄⠈⠛⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⡧⡑⣧⠐⠀⢀⠠⠈⣿⡀⢀⣿⣴⡄⠉⠛⠒⠒⠋⠁⠀⣼⠃⠀⠈⠉⠀⠀⠀⠀⠀⠈⣇⠈⣌⣐⣤⣬⣴⣭⣹⣿⣿⣄⣀⣀⣠⣀⣀⢀⡀⠀⠀⠀⣀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⡧⡑⣿⠀⢀⠀⠠⠀⠘⣇⠘⣯⣾⠞⠁⢀⡀⢂⠠⢁⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣾⠋⠉⠁⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀ ⠀⠀⠀⣿⣿⣿⣷⢡⢻⡆⠀⢀⠂⠀⠁⢿⡀⠙⣁⢈⠐⠠⡐⢄⣒⣬⣘⡤⢳⡄⠀⠀⠀⠀⠀⠀⢠⣟⡲⣽⣺⠀⣐⣒⣬⡴⠶⠚⠿⢟⣋⣙⣛⣛⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⠀⠸⣿⣿⣿⣧⢺⡇⠀⠄⠀⠌⢀⠈⣧⠀⢄⣢⡼⠗⠛⠋⠉⠁⠈⠙⠓⢻⡦⣄⣀⣀⣠⣶⣛⣦⡽⠟⠛⠛⡉⠉⠀⠀⠈⠙⠛⢒⣶⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣭⣀⠠⠈⢀⠀⠂⢹⡖⡌⣿⠀⠀⣀⣠⡤⠶⣒⣩⣍⣣⡽⠽⠟⠛⣋⣉⣁⠰⠶⢶⣯⣭⣙⣛⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣷⣶⣀⠆⠁⡈⣷⠸⣸⡆⢉⣉⣶⣶⠿⠏⠉⠉⠀⠀⠀⠀⠀⠈⠉⠹⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣶⣏⡳⠛⠋⠉⠁⢤⣤⣤⣈⡛⠻⢿⣶⣶⣦⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⠿⠟⠛⠋⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣻⢯⡿⡽⣏⡿⣝⣯⡟⣽⢯⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⣋⠖⡩⢎⠵⣊⠵⣊⠖⡱⢪⢜⡱ ⣿⡿⣷⡿⣷⣿⣾⢿⣾⣿⣾⣟⣷⣿⡿⣽⢾⣽⣫⢷⣻⣽⣿⣿⣶⣻⢽⣻⣞⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⡿⣟⡿⣝⢯⡛⣿⣻⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢⡑⢪⡑⢎⠶⡑⠮⠴⣙⠲⢣⢎⡗ ⣿⣿⣟⣿⣿⣳⣿⣿⣻⣾⣟⣿⣯⣷⡿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣟⡾⣝⡾⣽⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⡿⣿⢿⡿⡟⣟⡻⣟⣯⣏⣷⡟⣾⢯⣿⣹⣷⢟⣮⣷⣹⣿⣿⣷⣿⣾⡻⡼⣱⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⢅⠣⡘⢔⢪⠱⣉⠶⣡⢋⡖⣣⠞ ⣿⣿⣾⣿⣽⣿⣻⣾⣿⣟⣿⣿⣽⣿⣟⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣞⡽⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣯⣿⣳⣯⣿⡽⣯⣻⡝⣶⣟⣾⢯⣹⡾⣿⣿⣟⣧⣿⢿⣮⣽⣷⣿⣿⣿⣿⣻⠞⡵⣹⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠂⡱⢨⠘⢦⡹⢜⡲⢥⠳⡜⣥⣛ ⣿⣷⡿⣾⣟⣷⣿⢿⣾⢿⣻⣽⣿⣾⣯⡟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣳⣭⠿⣽⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣟⡷⣽⣻⢿⣿⣷⣿⣟⣷⢻⣿⢺⣟⣲⣿⣽⡿⣽⣿⣸⣿⣟⣾⣯⣿⣿⣿⡿⣏⣧⣏⣔⡣⣾⣾⣭⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡘⢠⢃⡙⢦⡙⢮⣜⢣⣛⡼⣱⢎ ⣿⣷⡿⣟⣯⣿⣾⣿⣻⣿⢿⣻⣽⣿⣷⡻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣳⢞⣻⡽⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣟⣾⣯⣿⣿⢯⣗⡿⣿⣷⢿⣿⣾⣿⣿⢧⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⡾⣽⣿⣟⣾⣿⡞⡽⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡄⢃⠦⡙⢦⡹⢣⣎⢗⣣⡝⣶⢫ ⣿⡷⣿⣟⣯⣷⣿⣳⣿⣻⣿⣟⣿⣽⣷⢫⣽⣿⣿⣿⣿⣿⣿⣿⣿⡽⣞⣳⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⢿⣿⣟⣯⣿⣟⣿⣯⣿⣿⣿⣿⣷⣻⢿⡿⣿⣿⣷⣿⣿⡿⣽⣳⢿⡿⣿⣿⣿⡷⣯⣝⣻⢮⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⡌⡜⢢⡝⢦⡹⢳⣬⣛⢶⡹⣎⢷ ⣿⣽⡷⣿⢯⣷⣟⣯⣿⢯⣷⡿⣯⣿⣏⢷⣺⣿⣿⡿⢿⣻⢻⡝⣧⣛⣾⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣷⣻⢯⣟⡿⣾⣷⣻⣿⣷⣿⠿⣽⣿⢿⡽⣯⣷⡟⣾⢽⣳⢯⣟⡿⣽⣳⢯⢿⣱⢯⢯⣻⡼⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⢌⡜⡥⣚⢥⢫⣓⢶⡹⣞⡽⣽⣺ ⣿⣯⢿⣻⡿⣽⣾⢿⣽⣻⣽⣻⣽⣻⣏⡾⣥⢻⡼⣹⢧⣏⢷⡹⣞⡵⣫⢗⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣳⢯⣷⣫⣿⡿⣿⣽⣿⣿⣟⣿⡿⣿⣯⣛⢿⣧⣟⡳⣏⢾⣹⠾⣽⣳⢯⢯⣳⡝⣞⢯⣳⣟⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⠧⣜⢲⢩⢎⢧⣛⣮⠿⣝⣯⢷⡽ ⣿⡽⣟⣯⣿⣻⣞⣯⢷⣛⣞⡳⣭⠷⣏⡾⣱⢏⢾⡱⣫⡜⣮⣓⣧⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⡽⡶⢯⣟⡾⣧⢿⣟⣿⣿⣿⣿⣿⣿⣣⢿⣿⡜⣿⡻⢶⡹⣞⢧⣯⣛⢧⢯⣟⣯⣷⣻⢮⣗⣯⡿⣷⣻⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢌⠶⣡⢏⡞⣼⢣⡿⣼⣻⣯⣟⣯⢿ ⣿⣽⣻⢷⣫⢷⡹⢎⠳⣉⠎⡱⢊⠓⣿⠼⣱⢎⣷⣹⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣜⣟⣧⣿⣿⣾⣿⣽⢻⡽⣻⣷⣿⣿⣽⣷⣿⣧⣿⣾⣿⣶⣯⣾⣻⢾⣽⣾⣿⣟⡾⣼⣻⢿⣽⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⢳⣣⢞⡼⣣⢿⣽⣳⣿⣯⣿⢯⣿ ⣟⡾⣱⢏⠞⢢⠑⡈⠁⠀⠐⠀⠂⠁⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢯⣿⣿⣿⣿⣿⣿⣞⣧⢏⠽⠃⣻⣿⣿⣿⣿⣿⣷⣟⡾⡽⣿⢿⣿⣿⣿⣿⣿⣾⣽⣳⢿⣯⣷⢿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢬⡳⣭⣞⣳⢯⣿⣾⢿⣿⣽⣿⣻⣽ ⡿⣜⠳⡊⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⣟⣿⢾⣯⡛⣿⣆⣿⡏⢹⡀⢦⣽⣯⣩⣿⣿⢿⣻⡽⣯⣽⢳⣯⢿⣹⣿⣿⣿⣳⢯⣿⣿⣷⣿⢯⣿⡗⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣟⡵⣾⣽⣻⣷⣿⣿⣿⣯⣷⣟⡷ ⡳⢌⠣⡁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⡿⢏⢿⣿⣿⣏⠰⡡⢿⣭⡟⠦⣙⠿⢿⣯⣿⣽⣷⣾⣿⣾⣿⣿⣿⣿⢿⣽⣻⣿⣿⢯⣟⣿⡿⣏⠶⣩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡾⣽⡷⣿⣿⣿⣿⡿⣯⣷⣟⡾⣽ ⠱⡈⢆⠡⠐⠠⢀⠠⠀⢀⠀⠀⢀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣘⣎⠶⣘⣿⠜⣀⠣⢻⢿⠁⠠⣆⣒⣌⣹⡟⢣⡻⣝⣻⣽⣿⣿⢿⣯⣟⣾⣿⣿⡿⣿⣾⣿⣟⡾⣱⢣⢏⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣿⣿⣿⣿⣻⡿⣽⡞⣧⡟⣞ ⢣⠘⡄⢣⢉⠒⡄⢢⢁⢆⡘⣌⡐⢆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣟⣷⡧⣭⣛⣧⢻⣿⣿⣿⡿⠟⢠⣛⣭⣭⠤⠓⡀⢣⡝⡾⣱⢫⣛⡜⣳⣾⣿⣿⣿⣿⣻⣿⣿⡓⣞⡱⡁⣿⢪⠝⣚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣟⡷⣫⢷⡹⣎ ⢣⠘⢬⡑⢎⡱⡜⣢⢎⢦⣓⢦⣝⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⣿⢿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡿⣶⢷⡯⣝⢧⣏⢿⣯⣷⣸⢖⡳⡞⡶⣟⢦⡹⣗⡿⣳⣧⣧⣷⣾⣿⣿⣿⣟⣿⣽⣿⣟⣣⠓⣌⠰⣁⠘⢧⢫⠔⣩⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣯⡿⣽⣞⢷⣛⣮⢳⡜ ⢎⠰⢌⠳⣜⣣⢷⡹⣜⣮⣟⡾⣽⡽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⡿⣟⣿⣿⣾⣿⣿⣷⣿⣟⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⣾⣧⢻⡼⡽⣞⢿⡻⣟⢾⡳⢷⣳⣿⣾⣳⣿⣷⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⢿⡩⢏⡖⡹⢦⡙⠦⣜⠪⡔⣋⠷⣈⠻⣿⣿⢿⣟⣿⣿⡿⣿⣿⣿⣿⣿⡿⣷⣟⣯⢿⣯⢷⢯⡟⡾⣝⢯⡞⣵ ⢌⠸⣌⢳⣎⡷⣯⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣾⣿⡿⣿⢿⣿⣻⣾⢿⣽⣾⣿⣽⡿⣿⣻⣽⣿⣿⣿⣿⣿⣻⣽⣿⣿⣿⠿⣿⣿⢷⣿⡿⣷⣻⢮⡷⡽⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⣿⠻⡝⡦⣝⠮⡝⡹⢆⡏⡷⢎⡵⢒⡭⢒⠡⡂⠽⣿⣿⣻⣯⣷⣿⡿⣟⣷⣿⣿⣟⡷⣻⢞⡽⢎⡟⣮⣝⡳⣏⡷⣻⢼ ⢌⠲⣬⣳⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⢿⣯⣿⣾⣟⣷⣿⢿⣿⣯⣿⣽⡿⣯⣷⣿⣯⣿⣟⣿⣿⣻⣯⣿⣿⣳⣿⣿⡿⣫⣕⡫⢿⣯⣟⡾⣽⣳⡭⢷⣹⣟⣾⢻⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣏⠲⡌⠳⡀⢏⡘⢡⢊⢖⡡⢓⡼⡸⣝⢧⠚⣥⢛⠤⠓⡬⣘⡍⠻⣿⣽⣟⣾⣿⢿⣻⣽⣿⣞⡳⣝⡞⡼⣩⠞⡦⣝⡳⣝⢾⣱⢯ ⢌⡳⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⣿⢷⣿⣳⣿⣻⣾⡿⣟⣾⣯⣷⡿⣿⣽⣾⣟⣷⣿⣿⣻⣽⣿⣻⣾⣿⡿⠟⡡⣓⢮⡽⣩⢿⣿⣻⢷⣯⣟⣯⢷⡾⣭⢿⣿⣿⣿⣿⣿⣿⡟⣯⢻⡌⠳⠈⠣⠘⠄⡁⢂⠌⡐⠌⡞⣴⢩⢶⡹⣎⢧⢛⡤⢋⠔⣉⠖⣡⢆⠡⣈⠛⢿⣿⡾⣿⣟⣯⣿⢺⡵⢫⡜⣱⢣⡛⡼⢲⡝⣮⢳⡽⣺ ⡾⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢽⣳⣿⣟⣯⣟⣿⣽⣿⣻⣽⣷⣿⡿⣿⣽⡷⣿⢿⣽⡾⣟⣯⣷⡿⣿⢿⣷⣿⣾⣷⣬⣷⣷⡘⢮⡳⢭⢿⣿⣿⣿⣾⣽⣾⣿⡿⣽⣿⢿⡿⣿⣿⣿⣭⣿⣾⣷⣷⣤⣆⡁⠀⠂⠐⡀⠂⢄⡺⡝⣲⢏⡾⣱⢍⣎⠱⣈⢣⠘⣤⢛⢤⣋⠴⣠⢣⡄⡙⢯⣛⠾⣿⣿⠱⣊⠗⡸⡑⢎⠵⣩⢓⠾⣱⢏⡞⡷ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⣣⢏⡾⣱⣿⣯⣟⣾⣽⡾⣟⣿⣯⢿⡾⣿⣽⣳⣿⣻⣯⡿⣽⣟⣯⣷⡿⣟⣿⣿⣿⣿⠿⣟⢻⢻⣿⣧⣙⠦⣙⣿⣿⡿⣟⣿⣋⠥⢚⣰⣣⣿⠟⣽⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠠⣀⠣⣌⢳⡡⣟⣾⣽⢳⣞⡬⢳⢤⢣⡹⣰⢋⠦⣏⠲⡡⢎⣷⠌⣇⠙⢿⣧⣿⠐⠀⠊⠁⠘⠈⠂⠅⢊⠣⠓⢎⡹⠜ ⣿⣿⣽⣿⢿⣿⣻⢷⣻⣞⡵⣯⣞⣿⣿⣳⡿⣞⣷⣿⣻⣽⡾⣟⣿⢷⣯⢷⣯⢷⣻⣽⢿⡽⣯⠷⠛⢋⡉⠫⠑⢦⠳⣜⣦⢫⡽⣿⣿⣖⡱⢺⡟⣽⣿⣷⣬⢷⣿⣿⢟⢥⢺⣴⣯⣿⣞⡿⣻⣟⣿⣿⣿⣿⣿⣿⣷⣠⠳⣜⣣⢳⣽⣾⣟⡷⣮⡝⢧⢞⣱⢣⣓⢎⡳⣌⢣⡑⣏⢿⣎⠼⣏⡌⠿⣿⠀⢀⢂⠀⠄⠀⠀⠈⠀⠀⠁⠂⠀⠀ ⣿⣾⣻⢾⣻⢷⣻⢯⡷⣯⣟⡷⣯⢿⡏⠁⠀⠀⡀⠌⠋⠉⠉⢙⡻⠟⠻⠿⠾⣯⣷⣯⣿⠋⠁⠀⠀⠈⣇⡀⠘⢆⠿⣽⣷⢻⣷⢫⣷⣻⣼⠟⣸⣿⣋⣶⣯⠿⡛⡵⢪⣞⣷⣿⣿⡻⣟⡼⣳⢮⣳⣟⡿⣿⣿⣿⣿⢇⣻⣼⢳⣿⣿⣿⢯⡳⢧⡻⣍⠾⣌⡳⢬⢧⠳⣌⢧⡘⣧⢺⡯⡔⣻⣜⠲⣽⢤⡳⣬⣚⡤⡁⠄⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣻⢯⡿⣝⣯⢿⣽⣳⢯⣿⣹⣟⡗⣠⣤⣷⣿⣿⣄⡀⣒⣭⣤⡄⠀⠤⢊⣁⡀⢀⡴⢢⡄⢳⡀⢀⠘⣝⣆⣬⣛⠾⣿⡖⣿⣣⣿⣽⣟⢦⣝⣶⣿⢟⠑⠚⠑⣰⠭⠈⡛⣿⣿⣻⢧⡝⣧⣛⡶⣯⢿⣿⣿⣿⣟⡾⣿⣽⣿⣿⣟⡛⠷⣯⣳⠵⣫⡝⢮⡱⢏⣮⠻⣜⢦⢻⣜⢣⢻⡥⣹⢻⡜⣼⣿⣿⣷⣿⣼⠳⡌⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣟⣯⡿⣽⣞⡿⣾⣽⣻⢶⣻⢾⣿⣿⣿⡿⣿⣯⣷⣿⣿⣿⣿⣟⣦⣶⣿⣿⣿⡏⠀⢯⣿⣦⣻⣿⣿⣽⣻⣿⣿⣿⣾⣽⢿⡿⠛⡙⠛⠛⣻⠿⠃⠋⠀⠀⡴⡁⠀⠀⢹⠷⢏⠳⣎⡽⣲⣽⣷⢿⣿⣿⣿⢷⣯⣿⣿⢿⠿⡻⢏⣿⣳⠶⣍⡻⢧⣟⡥⢫⡝⣦⣛⢮⣏⡷⣎⢧⡣⡟⣴⢫⡞⣹⣿⣿⣿⣿⣞⡟⠤⠁⠀⠀⠀⠀⠀⠀ ⣿⣷⢿⣯⢿⣟⣾⢿⣷⣯⢿⣯⣟⣿⣿⣿⣯⣶⣿⣿⣿⡿⠛⣫⣾⣿⣿⣿⠿⠋⠁⣠⠴⣿⣽⣿⣿⣿⣿⠿⣿⣽⣿⣿⣿⣧⠆⠠⠁⣌⠶⣫⣷⣼⣡⢂⠀⣼⠂⠀⠀⢀⠏⠀⠈⣙⣾⣷⣿⣿⣾⣿⣿⣿⣿⣯⣟⡾⣽⢏⡞⣱⢫⢶⡹⣟⣳⣽⣦⣍⠻⣷⡽⣶⢯⣳⡞⣷⣹⢲⡝⡇⣾⢣⣟⣹⣿⣿⣿⡳⢯⠜⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣽⢿⣯⢿⣻⣽⡿⣞⣿⣻⣽⣟⣾⣿⣿⣿⣿⣻⣿⠿⣿⣿⣿⣿⣿⣿⣤⣥⣤⣋⣀⣾⣿⣿⡿⠟⡋⣴⣾⣿⣿⣿⠟⠋⠀⢀⠴⣚⣽⣿⣿⣿⣿⠿⣟⣿⣧⡃⡄⣀⣾⣈⣷⣷⣦⡿⠛⠩⠐⡀⣂⠼⡋⠈⠉⠉⢙⡿⠚⠚⠷⠭⢾⣽⣭⣷⣻⣾⣽⣷⡞⣿⣽⢯⡷⣏⡷⣹⢮⣽⢳⣯⢳⢮⣽⣿⡻⢖⡙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣽⣻⡾⣟⣿⣳⡿⣿⣽⣻⢷⣻⣯⣿⣿⣿⣿⣿⢿⢧⣿⣿⣇⣿⣿⣿⢹⣿⣿⡟⣿⣿⣿⣿⢿⣷⣿⣿⣿⣿⣯⣤⣤⣰⣊⣡⣾⣿⣿⣿⠿⠋⣥⣾⣿⣿⣿⠿⠟⣿⣿⣿⣿⣿⡿⠓⠈⢀⡠⠞⣁⣴⣿⣷⣄⡴⠉⢀⣠⣤⣀⠴⠋⠀⠀⠀⢈⡭⠋⠉⠛⠛⠻⣿⠽⠯⣽⣷⣯⣞⣽⣞⣯⢞⣾⠷⡙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣞⡷⣟⣯⣷⢿⣽⢷⣯⣟⣯⣟⣾⡟⠛⠛⠿⠿⢿⣿⣿⣽⣿⣿⣯⣿⣿⢿⣻⣷⣿⡿⣿⣸⣿⢿⣇⣿⣯⣯⢿⣿⣿⣿⡿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣯⣁⣰⣾⣿⣿⡿⠛⠁⠀⣠⠔⢩⣰⣿⣿⣿⣿⠿⠋⣀⣴⣿⣿⣿⣷⠄⠀⠀⢀⠔⢋⣠⣴⣦⡀⡠⠊⠀⢀⣀⠀⣠⠞⠁⠉⠉⠉⢛⣿⡧⡱⢀⠄⡀⠀⠀⠀⠀⠀⠀⠀⡀⢴ ⣿⢾⣽⢯⣷⢯⣿⣞⡿⣾⡽⣞⡽⣞⣧⣄⣦⣀⣀⠀⠀⠀⢀⣬⣿⡿⣷⣿⣻⣿⣽⣯⣿⣟⡿⣯⣿⢿⣿⣽⣿⣾⣿⡷⣿⣷⣿⣿⣿⣼⣿⣿⡏⣿⣿⣽⢻⣟⣿⠿⣿⣿⣿⣶⣶⣾⣦⣤⣼⣿⣿⣿⡛⠁⠀⣿⣿⣿⣿⠿⠋⠀⠀⡠⠖⣡⣶⣿⣿⣿⣿⠟⢀⣴⣾⣿⣿⣷⡁⠀⢀⣶⣶⣶⢋⢸⣷⣝⡧⣞⡴⣩⠖⣥⢲⡰⣌⠶⣙⣾ ⣿⣻⣾⣻⡽⣟⣷⢯⣟⣷⣻⡽⣽⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣷⣿⣭⣽⣿⣻⡿⢿⣿⣿⣻⢿⣻⣿⣽⣯⣷⣿⣯⣿⣽⣾⣻⣟⣿⣽⣿⣿⣟⣿⣯⣿⢿⣿⣹⣷⣿⡞⣿⣯⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣊⣀⢌⣿⣿⣿⣿⠟⠁⢠⣿⣿⣿⣿⠿⠉⢠⣼⣿⣿⣿⣿⠿⢸⣿⢾⣽⣳⣟⣷⣻⢧⣯⢷⣞⡿⣽⣿ ⣿⣟⣾⢯⣟⡿⣽⣻⣟⡾⣽⣻⡽⣯⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣽⣷⣻⣟⣿⣻⡽⣟⣿⡿⣿⢿⡿⣿⡿⣿⣿⣿⣿⣻⣾⣱⣷⣻⣿⣟⣾⠷⣟⣾⢻⠾⣿⣻⡿⣿⣿⣾⣿⣿⣿⣿⣟⣷⣿⣿⣞⣿⣿⢿⣿⣿⣿⣿⣛⠿⢿⠿⣿⢿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣟⣡⣤⣤⣾⣿⣿⣿⢟⡁⠠⣸⣟⡿⣞⢷⡻⢾⣽⣻⣞⡿⣞⣿⣻⣾

Related Text & Emojis

/>  フ |  _ _| /` ミ_xノ /     | /  ヽ   ノ │  | | | / ̄|   | | | ( ̄ヽ__ヽ_)__) \二)
∧,,,∧ (  ̳• · • ̳) /    づ You want my heart? ∧,,,∧ (  ̳• · • ̳) /    づ♡ Ok here's my heart ∧,,,∧ (  ̳• · • ̳) U ♡C~ Nevermind, you dont deserve it
░░░░░░░░░░░░░░░░░░░░░▄▀░░▌ ░░░░░░░░░░░░░░░░░░░▄▀▐░░░▌ ░░░░░░░░░░░░░░░░▄▀▀▒▐▒░░░▌ ░░░░░▄▀▀▄░░░▄▄▀▀▒▒▒▒▌▒▒░░▌ ░░░░▐▒░░░▀▄▀▒▒▒▒▒▒▒▒▒▒▒▒▒█ ░░░░▌▒░░░░▒▀▄▒▒▒▒▒▒▒▒▒▒▒▒▒▀▄ ░░░░▐▒░░░░░▒▒▒▒▒▒▒▒▒▌▒▐▒▒▒▒▒▀▄ ░░░░▌▀▄░░▒▒▒▒▒▒▒▒▐▒▒▒▌▒▌▒▄▄▒▒▐ ░░░▌▌▒▒▀▒▒▒▒▒▒▒▒▒▒▐▒▒▒▒▒█▄█▌▒▒▌ ░▄▀▒▐▒▒▒▒▒▒▒▒▒▒▒▄▀█▌▒▒▒▒▒▀▀▒▒▐░░░▄ ▀▒▒▒▒▌▒▒▒▒▒▒▒▄▒▐███▌▄▒▒▒▒▒▒▒▄▀▀▀▀ ▒▒▒▒▒▐▒▒▒▒▒▄▀▒▒▒▀▀▀▒▒▒▒▄█▀░░▒▌▀▀▄▄ ▒▒▒▒▒▒█▒▄▄▀▒▒▒▒▒▒▒▒▒▒▒░░▐▒▀▄▀▄░░░░▀ ▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▄▒▒▒▒▄▀▒▒▒▌░░▀▄ ▒▒▒▒▒▒▒▒▀▄▒▒▒▒▒▒▒▒▀▀▀▀▒▒▒▄▀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡾⠛⠀⠈⢻⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠛⠉⠁⠀⠀⠀⠀⠀⠉⠉⠛⠛⠳⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡾⣷⣦⣠⡾⣟⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣤⡀⠀⢀⣠⣼⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠉⢗⢦⠈⣿⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠿⠋⠉⢸⣷⠀⠀⠀⠀ ⢀⠀⠀⠀⢼⣿⡉⠻⠇⠀⠀⠀⠀⠀⠀⣾⣷⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⡀⠀⠀⠀ ⠺⠷⠦⢤⣼⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠘⠛⢿⡶⠆⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡽⠿⠟⠛⠲⠶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠺⣧⠀⠀⠀⠀⠀ ⠀⠀⣴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢯⠉⠛⠳⠶⠦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀ ⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣴⠶⠛⠛⠛⠛⠛⣿⠓⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀ ⠀⠀⢳⡛⠷⣤⣀⣀⣀⣀⣀⣀⣤⠶⣿⡟⠁⠀⠀⠀⠀⠀⣰⠻⢦⣄⣠⣤⡤⠴⣾⡋⠙⠛⠲⠦⠤⣤⣀⣸⣇⠀⠀⠀ ⠀⠀⠈⣿⠲⣤⣭⣉⣉⣙⣹⣭⣶⣾⢿⡇⠀⠀⠀⠀⠀⠚⠁⣴⠃⢹⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠲⠆ ⠀⠀⠀⢹⡆⠸⡆⠈⠉⢹⠁⠀⣼⠇⢸⡿⣆⠀⠀⠀⠀⠀⠀⠁⠀⠘⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⠀⡇⠀⠀⢸⠀⠀⣿⠀⠘⣷⣌⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣧⢻⡀⠀⢸⠀⢰⣇⡀⠀⡇⢿⠳⢦⣀⣉⠛⠓⠲⠶⠶⠶⡚⣛⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣷⣶⣾⣿⠿⠋⠙⠻⡇⣿⠀⠀⠀⢹⠛⠛⠛⠛⢛⡟⠋⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⣾⠀⠀⠀⢀⡼⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⣠⡇⠀⠀⠀⡾⢁⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⡴⠛⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠬⣷⠄⠀⠀⠀⠀⢰⣆⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠐⢿⣬⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠧⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⢠⣤⡀⠀⠙⣆⠀⠀⠀⠀⠙⠀⠀⠀⠀ ⠀⠀⣸⡄⠀⠀⠀⢀⡏⠀⠀⣀⡀⠀⠀⠀⠛⠀⠀⠈⣯⠀⠀⢞⣛⣯⡉⠀⠀⠀⣸⢦⣄⡀ ⠀⠺⢿⡿⠛⠀⠀⢸⡇⠀⡀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠉⢉⡏⠁⠀⠈⠛⡾⠋⠀ ⠀⢀⠈⠁⠀⠀⢀⣹⡷⣶⠂⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢦⡄⠀⠰⠋⣹⡷⠛⠁⠀⠀⠀⠀⠀⣠⣤⡤⠤⣄⠀⠀⠀⠸⣧⡀⠀⣴⠛⣦⠀⠀⠀ ⠈⠻⠟⠁⠀⠀⠘⠋⠻⢶⣤⣀⠀⠀⠀⠾⠡⠸⣇⠀⠀⠀⠀⠀⠀⠈⠳⣆⡿⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠐⠏⠃⠀⠀⠀⠀⠀⠀⠀⠙⣇⣸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣤⣶⣶⣶⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣒⣒⣢⣀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣍⣿⣿⡌⡆⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣟⣻⡎⠻⡧⠀⠀⠀ ⠀⢿⣟⣿⣿⣿⣿⠇⢹⣸⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡇⠀⣷⠀⠀⠀ ⠀⠈⠻⣿⠿⠚⠋⠈⠙⠉⢀⢀⣠⣴⣄⣀⣀⠀⠈⠛⠿⣟⣀⡠⠃⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠙⢾⣥⠀⠀⠀⠙⡆⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀ ⠀⠀⡠⡪⢀⠔⠠⠂⠀⠀⠀⠀⠹⣷⣤⡶⠋⠁⠀⠊⠔⠡⠐⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣷⣯⡡⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠛⠉⠀⠀⠙⠳⡅⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠁⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠉⠉⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠉⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣦⣤⣤⣄⡀⠀⢀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⣿⠟⠋⠉⠉⠙⣻⠿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢠⡞⠁⠀⠀⠀⢀⡴⠋⠀⢀⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢠⠏⠀⠀⠀⠀⣰⠏⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡥⠤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⣠⡏⠀⠀⠀⠀⣼⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣄⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠋⠀⠀⠀⠀⢸⣧⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣾⡿⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⠛⢿⣿⣷⣄⡀⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣦⣼⣿⠀⠀⠀⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⡿⠋⠉⠉⠁⠀⠀⠀⠀⠉⢯⡙⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠃⢀⡤⠖⠋⣉⣉⣉⣉⠉⠉⠒⠦⣄⠀⠀⠀⢀⡟⡿⢿⣿⣟⣻⣮⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⠋⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⢦⣄⠉⠻⢿⣿⣷⣦⡀⠀⠈⠙⠛⠛⠋⠀⢰⠟⡇⠀⠀⠈⠻⡿⠛⠁⠀⠀⠀⠈⠳⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⣴⠟⣫⣿⣿⣄⠀⠀⠀⠀⡶⢌⡙⠶⣤⡈⠛⠿⣿⣷⣦⣀⠀⠀⠀⠀⡇⠀⢻⣄⠀⠀⣠⢷⠀⠀⠀⠀⠀⡶⠀⠘⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⢸⣟⢸⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠈⠛⠦⣝⡳⢤⣈⠛⠻⣿⣷⣦⣀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠛⠦⠤⠤⠚⠁⠀⠀⢳⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠈⢿⣞⣿⣿⣿⠏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⠳⢬⣛⠦⠀⠙⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⠉⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⣠⣄⠀⠀⢰⠶⠒⠒⢧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡟⢿⣷⣦⣴⣶⣶⣶⣶⣤⣔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⣤⠀⠀⠿⠿⠁⢀⡿⠀⠀⠀⡄⠈⠙⡷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡇⠀⣿⠙⣿⣿⣉⠉⠙⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠙⠷⢤⣀⣠⠴⠛⠁⠀⠀⠀⠇⠀⠀⡇⢸⡏⢹⡷⢦⣄⡀⠀⠀⠀⣿⡀⢸⡇⢸⡇⠀⡟⠀⢸⠀⢹⡷⢦⣄⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠢⣤⡀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⡷⣤⣀⡇⠸⡇⢸⡇⢸⠉⠙⠳⢦⣄⡻⢿⣾⣧⣸⣧⠀⡇⠀⢸⠀⢸⡇⢤⣈⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣷⣌⡉⠛⠲⢶⣶⠖⠛⠛⢶⣄⡉⠛⠿⣽⣿⣶⣧⣸⡇⢸⠀⠀⠀⠀⠈⠙⠲⢮⣝⠻⣿⣷⣷⣄⣸⠀⢸⡇⠀⠈⠁⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠻⢿⣷⣶⣤⣉⡻⢶⣄⣀⠈⠙⠳⢦⣈⡉⠻⢿⣿⣷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣛⠿⣿⣷⣼⡇⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣶⣽⣻⡦⠀⠀⠈⠙⠷⣦⣌⡙⠻⢿⣟⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢯⣻⡇⠀⠀⠀⠀⠀⢸⣿⠀⣀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢀⡏⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣶⣤⣤⣤⣀⣈⠛⠷⣤⣈⡛⠷⢽⡻⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢤⣀⠀⠀⢸⣿⡀⠈⠳⢤⣀⣀⣰⠃⠈⠛⠶⠶⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠛⠉⠙⠛⠛⠻⢷⣦⣄⣩⣿⠶⠖⠛⠛⠛⠛⠛⠛⠿⢷⣶⣦⣄⠀⠀⠀⠀⠉⢻⣶⣿⣿⠇⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠀⠀⠀⠀⠀⣠⠖⠂⠀⠀⠀⠈⠙⠿⣿⣦⡄⠀⠀⣸⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠙⢿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠦⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⠄⠙⡿⠿⠦⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
/\__/\ ꒰ ˶• ༝ •˶꒱ ~♡︎ / v v \ | | づ__づ
⠀⠀⠀⠀⠀⠀⢀⡤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡏⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⣀⠴⠋⠉⠉⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠚⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀ ⢠⣤⣶⣾⣧⣤⣤⣀⡀⠀⠀⠀⠀⠈⠀⠀⠀⢀⡤⠴⠶⠤⢤⡀⣧⣀⣀⠀ ⠻⠶⣾⠁⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⢹⣿⣭⣽⠇ ⠀⠀⠙⠤⠴⢤⡤⠤⠤⠋⠉⠉⠉⠉⠉⠉⠉⠳⠖⠦⠤⠶⠦⠞⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⣀⡴⠚⠉⠀⠈⠒⠒⠤⣄⡀⠀⠀⠀⠀ ⠀⠀⣼⢵⠙⠋⠀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢉⡇⠀ ⠐⠒⣻⠤⢄⣀⡀⠀⠈⠐⠂⠀⣤⠄⠀⠀⠀⢸⠀⠀ ⠀⡎⠀⠀⠀⠀⢙⣭⠥⠶⠶⠄⠀⠀⢀⠀⠀⠈⣇⠀ ⠀⢻⢵⢒⣒⠶⡽⡁⠀⠀⢊⠷⠀⠈⠣⠈⠉⠐⠚⠢ ⠀⠈⡎⡀⢀⢸⠀⢯⡢⢄⣀⣀⣀⣀⡜⠀⠀⠀⠀⠀ ⠀⠀⠘⠳⠾⠚⠐⣾⠈⠱⠐⢒⢂⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠲⢧⣤⡮⠊⠀⠀⠀⠀⠀⠀⠀
troll face░░░░░▄▄▄▄▀▀▀▀▀▀▀▀▄▄▄▄▄▄░░░░░░░ ░░░░░█░░░░▒▒▒▒▒▒▒▒▒▒▒▒░░▀▀▄░░░░ ░░░░█░░░▒▒▒▒▒▒░░░░░░░░▒▒▒░░█░░░ ░░░█░░░░░░▄██▀▄▄░░░░░▄▄▄░░░░█░░ ░▄▀▒▄▄▄▒░█▀▀▀▀▄▄█░░░██▄▄█░░░░█░ █░▒█▒▄░▀▄▄▄▀░░░░░░░░█░░░▒▒▒▒▒░█ █░▒█░█▀▄▄░░░░░█▀░░░░▀▄░░▄▀▀▀▄▒█ ░█░▀▄░█▄░█▀▄▄░▀░▀▀░▄▄▀░░░░█░░█░ ░░█░░░▀▄▀█▄▄░█▀▀▀▄▄▄▄▀▀█▀██░█░░ ░░░█░░░░██░░▀█▄▄▄█▄▄█▄████░█░░░ ░░░░█░░░░▀▀▄░█░░░█░█▀██████░█░░ ░░░░░▀▄░░░░░▀▀▄▄▄█▄█▄█▄█▄▀░░█░░ ░░░░░░░▀▄▄░▒▒▒▒░░░░░░░░░░▒░░░█░ ░░░░░░░░░░▀▀▄▄░▒▒▒▒▒▒▒▒▒▒░░░░█░ ░░░░░░░░░░░░░░▀▄▄▄▄▄░░░░░░░░█░░🐻✨🌻♡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠉⠓⠲⠶⠶⣦⣤⣤⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⡟⠋⢿⡀⠀⠀⠀⠀⠀ ⠀⢀⣾⢦⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⠀⠛⠀⠀⣶⣶⣀⣀⡀⠀⠀⠀⠀⢀⡴⠶⣤⡀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠃⠀⠸⣿⢺⠀⠀⠀⢹⡇⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠁⠀⢸⣆⠀⠀⠀⠀ ⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀ ⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⢀⣾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣴⢾⣿ ⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⢋⣴⠟⠙ ⠈⠳⠤⠤⠶⠦⠤⣄⣀⣀⣀⣀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠷⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⡇⠀⠈⠛⠛⠻⠷⠶⠶⣶⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠻⠷⣶⣤⣤⣴⣶⢾⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⠀⠀⠘⢿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣦⣀⠀⠀⣠⣾⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⡛⠛⠛⠻⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠘⠃⠀⠀⠀⢰⣿⣿⡆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⢶⣦⣤⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠻⠿⢿⣧⣴⣶⠀⠀⠀⣴⣶⣤⣿⠋⠀⠀⠈⠙⢿⣶⡄⢀⣼⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠻⠿⠇⣿⠀⠀⠀⠀⠀⠀⢿⡇⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⠀⠀⠀⠀⠀⠈⠉⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⠀⠀ ⠀⢀⣠⣴⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠀⣀⣤⣤⣶ ⠀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣶⣿⠿⣿⣿⣿ ⢐⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠀⣴⣿⠟⢻ ⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢃⣰⣿⠟⠁⠀⠀ ⠀⠈⠻⣶⣦⣤⣴⣾⣷⣶⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢿⠟⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⢿⣿⠟⠛⠿⣷⣦⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠁⠀⠀⠘⠲⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⡀⠀⢀⣠⡄⠀ ⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠀⡇⠀ ⢀⡴⠋⠀⠀⠀⠀⣀⣿⠂⣆⣠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀ ⣾⠀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠈⠙⠁⠀⠀⣴⠄⠀⠀⠀⠀⠀⠀⣾⠀⠀ ⠻⠦⠤⠴⠖⠋⠉⠓⠒⠶⠤⣄⣀⡀⠀⠐⠺⡂⠀⠀⠀⠀⠀⠀⠘⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⡾⠁⠀⠀⠀⠀⢀⠀⠀⠹⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⢤⣤⠤⠴⠚⠛⠒⠦⢤⣷
⣤⡶⢶⣦⡀ ⠀⠀⠀⣴⡿⠟⠷⠆⣠⠋⠀⠀⠀⢸⣿ ⠀⠀⠀⣿⡄⠀⠀⠀⠈⠀⠀⠀⠀⣾⡿ ⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿ ⠀⠀⠀⠀⠈⠻⣿⣷⣦⣀⣠⣾⡿ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀ ⠀⠀⠀⠀⠀⡟⢦⡀⠇⠀⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀ ⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆ ⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆ ⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇ ⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟ ⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟
⠀⠀⠀⠀⣀⡀⠀⠀⣶⣦⡀⠀⠀⠀⠀⠀⣠⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠶⡾⠛⣿⠄⢠⡿⠉⠻⣦⣤⣤⣤⣴⡟⠁⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣤⣀⣴⠏⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⣰⡟⠀⠀⠀⢀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢻⡆⠀⣴⠶⣦⣤⡀⠀ ⠀⠀⠀⠰⢶⣿⣤⠄⠀⠘⠋⣁⣴⣦⣀⠉⠛⠃⠀⠀⠀⢈⣿⣀⣹⣇⣨⡿⠃⠀ ⠀⠀⠀⠀⢾⣟⠓⠀⠀⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⢿⣿⣯⡅⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠏⠀⠀⢀⣠⣄⡀⠀ ⠀⠀⠀⠀⠀⣠⣝⡷⣶⣶⣦⣤⣀⣀⣴⠶⢶⣄⣴⣾⠋⠁⠀⠀⣰⣿⣏⣹⡇⠀ ⠀⠀⠠⣟⠛⠋⣸⡇⣾⣿⣤⣼⣿⣿⣤⣤⣼⡟⠛⠻⣷⡀⠀⠀⣿⠀⠉⣿⠇⠀ ⠀⠀⠀⠙⠿⠶⡟⣼⠏⢿⣷⣿⣽⣯⣿⣟⣿⡄⠀⠀⠈⠻⣆⠀⠹⣧⠀⢿⡆⠀ ⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⢹⣧⣈⠉⣼⠟⠋⠁⠀⠀⠀⠀⠹⣧⠀⠹⣦⠈⢻⡄ ⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠈⢹⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⣿⠄⠘⣷ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⣀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⣿⡾⠋⠀⣰⡟ ⠀⠀⠀⠀⠀⣿⠀⠀⢰⡆⠀⠀⣿⡀⢠⡿⠁⢠⡶⠀⠀⠀⠀⠀⢀⣀⣤⡾⠋⠀ ⠀⠀⠀⠀⠀⠹⣧⣀⠀⣿⡀⢀⢸⣷⡟⠀⠀⢸⡇⠀⠀⠀⣀⣴⠟⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠷⣾⡿⣿⣶⣤⣤⣿⣥⣴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠟⠁⠀⠀⠻⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠶⠶⣦⣤⣤⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠋⠁⠀⠀⠀⠀⢸⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣤⣀⠀⠀⠀⢀⣠⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠗⠒⠊⠁⠀⠒⠤⢤⣀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⠟⠛⠉⣿⠀⠀⠀ ⣀⡀⠀⠀⣠⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⢠⣶⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀ ⠉⠉⣻⠿⢡⡇⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠈⠉⠁⠘⠷⠶⢷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀ ⢀⡼⠁⠀⠈⢷⡦⠤⠤⠤⠤⠔⢋⣿⠿⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢠⣿⡆⠀⠀⠀⠀⠀⣀⣠⡴⠀⠀⣿⠀⠀⠀⠀ ⢾⡇⢀⠀⠀⠈⢳⣤⠤⠤⠤⠔⠋⠁⠀⠀⠈⠉⠙⠛⠓⠶⠦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠙⢷⡀⠀⠀ ⣸⠁⠀⠙⠢⣀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠲⠶⢤⣤⣤⣀⡤⠖⠛⠁⡄⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀ ⢹⡀⠀⠀⢒⣒⣸⡷⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀ ⠘⣇⠀⠳⣆⣀⣉⣹⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⢄⡀⠀⠀⠀⣀⡤⠶⠶⠶⠶⢧⣀⣀⠀⠀⣀⡤⠟⣦⡀⠀⠀⠀⠓⠒⣶⣿⣤ ⠀⣿⡀⡀⢀⣈⠉⢉⣿⠞⠁⠀⠀⠀⠀⢀⣤⠾⠿⠛⠓⠒⠛⠒⠒⠩⣁⣀⣀⠀⠀⠀⠀⢀⡠⠋⠀⠀⠀⠀⠈⠻⠶⢶⣤⣤⡾⠏⠀⠈ ⠀⡘⣷⣼⡀⣠⢌⣽⠇⠀⠀⠀⠀⠀⠀⢈⡧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⡠⠒⢀⣠⡴⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠉⢷⡆⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣉⡠⠴⠿⠓⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢠⠄⠀⠀⠀⠀⠀⠀⠀⠘⠷⣦⣀⣀⣠⣤⡶⠶⠛⠓⠒⠒⠒⠛⠓⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢫⠭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣷⣶⣤⣀⣤⣴⣶⣶⣶⣶⣦⣤⣀⣤⣶⣾⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠠⣤⣀⡀⠹⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⠃⢀⣀⣤⠄⠀⠀ ⢀⠤⢤⣤⣬⣙⠳⣿⣿⡿⠀⢀⠀⠈⣿⣿⠁⠀⡀⠈⣿⣿⣿⠞⣋⣥⣤⠤⠤⡀ ⠀⢀⡤⠤⢤⣼⣿⣿⣿⣿⡀⠸⠀⣠⣿⣿⣄⠐⠇⢀⣿⣿⣿⣿⣧⡤⠤⢤⡀⠀ ⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠉⠉⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠛⠿⢿⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⡿⠻⠛⠀⠀⠀
⠀⠀⠀⢠⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣤⣤⣶⣾⣿⣿⣿⡷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⡾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⡀⠁⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢹⠉⠙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⣀⣼⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢃⠈⠢⡁⠒⠄⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
──────────────────────────█ ────────────────────────████ ────────────────────────█▓███ ─────────────────────███▓▓▓██ ───────────────────███▓▓▓▓▓▓██ ──────────────────██▓▓▓▓▓▓▓▓▓█ ──────────────────█▓▓▓▓▓▓▓▓▓▓█ ─────────────────█▓▓▓▓▓▓▓▓▓████ ─────────────────███▓▓▓▓▓▓██──█▄ ────────────────█▓▓██▓▓▓▓██─▄███ ───────────────█▒▒▒▒██▓▓▓█──█─██ ──────────────█▒▒▒▒▒▒██▓█───████ ─────────────█▒▒███▒▒▒█▓█───▀███ ─────────────█▒█▒▒▒█▒▒▒██──────█ ─────────────█▒█▒▒▒▒█▒▒██──────█ ─────────────█▒▒█▒▒▒▒▒▒███────██▄ ─────────────█▒▒▒█▒▒▒▒▒████──██▒█ ─────────────▀█▒▒▒█▒▒▒▒██▒████▒▒█ ─────▄██▄─────▀█▒▒▒▒▒▒███▒▒▒▒▒▒▒█▄ ─────█▓▓██─────▀█▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒█ ─────█▓▓▓█──────▀█▒▒▒█▒▒▒▒▒▒▒▒▒▒▒█ ─────██▓▓██──────▀█▒██▒▒▒▒▒▒▒▒▒▒▒█ ──────█▓▓▓█───────████▒▒▒▒████▒▒▒█ ──────██▓▓█───────████▒▒▒█▓▓▓▓█▒██ ───────█▓▓█──────██▓██▒▒▒█▓▓▓▓████ ───────█▓▓█─────██▓▓▓██▒▒█▓▓▓▓▓█▒█ ───────█▓▓█────██▓▓▓▓▓██▒▒█▓▓▓▓███ ──────▄█▓▓█────██▓▓▓▓▓▓███████▓▓▓█ ──────██▓▓█───██▓▓▓▓▓▓▓▓█▀──▀██▓▓█ ─────██▓▓██──██▓▓▓▓▓▓▓▓▓▓█────█▓▓█ ────██▓▓██──██▓▓▓▓▓▓▓▓▓▓▓██───█▓▓█ ───██▓▓██───█▓▓▓▓▓███▓▓▓▓▓█───█▓▓█ ──██▓▓██───██▓▓▓▓██─██▓▓▓▓▓█─█▓▓▓█ ─██▓▓██────█▓▓▓▓▓█───█▓▓▓▓▓▓█▓▓▓██ ▄█▓▓██─────█▓▓▓▓▓█───██▓▓▓▓▓▓▓▓██▀ █▓▓██─────██▓▓▓▓▓█────█▓▓▓▓▓▓▓██▀ █▓▓█──────█▓▓▓▓▓▓█────██▓▓▓▓▓██▀ █▓▓█─────██▓▓▓▓▓▓█─────██▓▓▓▓██▄ █▓▓█─────█▓▓▓▓▓▓█─────▄████▓██▓█▄ █▓▓█─────█▓▓▓▓▓▓█────██▓▓▓███▓▓▓█ █▓▓█─────█▓▓▓▓▓▓█───█▓▓▓▓▓▓▓▓▓▓██ █▓▓█─────█▓▓▓▓▓▓▓█─█▓▓▓▓▓▓▓▓▓▓▓██ █▓▓█─────██▓▓▓▓▓▓██▓▓▓▓▓▓▓▓▓▓▓██ █▓▓██─────█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓██ ██▓▓██────█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓██ ─██▓▓█▄─▄██▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓██ ──██▓▓█████▓▓▓▓▓▓▓▓▓▓▓▓▓▓███ ───██▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓██ ────█████████▓▓▓▓▓▓▓▓▓▓▓██▄ ───────────▀████▓▓▓▓▓▓▓▓▓█████▄ ─────────────▀██████▓▓▓▓▓▓▓▓▓▓██ ─────────────────▀███████▓▓▓▓▓██ ──────────────────────▀████████▀
⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⣿⣇⠀⠀⠀⠀ ⣿⢏⣹⣳⣯⣗⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠃⠒⣜⣮⢧⡀⠀⠀ ⣿⡞⠁⡉⠙⠻⣷⣿⢦⣤⣤⣶⣶⣶⣶⣶⣶⣾⣿⡿⠋⠀⠌⡐⠈⢿⣿⣣⠀⠀ ⣿⠀⢂⠐⡁⢂⣬⣿⣿⢫⠉⠀⠀⠀⠀⠀⠀⠜⡹⢿⣿⣿⣶⣶⣤⣈⣿⣷⣗⠀ ⡇⢀⣦⣼⣾⣿⣿⣿⡭⡃⠌⠀⠀⠀⠀⠀⠀⠀⠑⡹⣚⢿⣿⣿⣿⣿⣿⣿⣼⠀ ⣿⣿⣿⣿⣿⣿⣟⢧⢃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⢎⠳⢯⡟⣿⣻⢿⣯⡷ ⣿⣿⡿⣟⡿⡓⢎⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣰⣬⣧⡝⢊⠙⣷ ⠟⢧⠛⠥⠃⢉⠀⣴⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠀⠀⢸ ⠈⠄⡈⠤⣁⠢⡀⢿⣿⣿⣿⠃⠀⠀⠀⠀⢠⡄⠀⣴⠀⠀⡀⢙⢛⡛⠭⢠⠃⢆ ⠐⡠⢑⡒⡄⠓⡌⣌⢩⣩⠷⠶⣤⠀⠀⠀⠀⠳⠾⠃⢀⢸⡼⠋⠋⠛⢦⡃⠞⡠ ⢀⠱⡈⢖⡈⢣⠜⣠⠟⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠐⣾⠁⠀⠀⠀⠈⢧⢣⢸ ⣆⠠⢑⠢⣉⠆⢼⡟⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⣷⢯ ⡏⠀⠀⢁⠂⢌⡟⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⣗⠀⠀⠀⠀⠀⠀⠈⢯ ⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠿⠿⠿⠿⠿⠛⠛⡉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣶⣖⡄⣅⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣪⠴⣐⠦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡏⡎⡥⢋⣂⠙⢤⣄⡀⠀⠀⠀⠀⢀⣀⣀⡠⣄⠀⢀⠀⠀⠀⠀⣀⣀⡤⣒⠵⣓⠒⠷⢮⡸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣟⣧⠻⢩⠼⢮⣔⢈⢺⣿⡋⠱⢯⠋⡬⢩⠴⠁⣩⠩⣻⠓⢩⠓⣟⣩⣊⢴⣨⣍⡉⠿⣭⡷⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣓⣝⢺⣳⣷⣷⠃⠉⠃⠀⣿⠔⠃⡘⠄⡞⠁⣼⠀⠀⠀⠋⢨⣷⠿⠷⣚⢯⣐⣿⣹⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣟⢋⣁⠒⢲⡄⠀⢠⣅⠠⢸⢠⢼⠑⢀⠈⠄⠀⠀⠀⠈⠐⣉⡽⣿⣷⣿⣿⠙⠀⠠⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣾⣿⢿⣷⣎⣯⢦⡀⠠⣀⣻⣷⣈⣷⣸⢄⣿⠏⠁⠀⠀⠀⠀⢁⡕⣜⡫⣿⣋⡁⣟⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⢹⣿⣿⡽⠷⣏⠢⠉⢹⣷⠃⢿⡇⣿⣿⢸⡟⠀⠤⠄⡂⠀⠀⠉⠘⣤⣎⣽⡿⠃⠁⠄⠐⠀⠁⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠄⢻⡝⣛⡇⠒⣁⢀⣈⣿⠀⣸⠓⢻⡾⢸⡂⠀⡯⠕⠀⠀⠀⠀⠀⠀⠃⠙⠀⠀⠃⠂⠔⠀⡁⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⡲⣌⠙⣑⣆⣴⣶⣿⣿⣷⢤⣇⠀⠸⡠⠈⡷⠈⣥⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⢈⢀⠐⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣭⣾⢿⢻⣿⣿⣿⣿⣿⣞⣿⣆⣀⠀⠸⠀⣼⣿⣿⣿⣿⣿⠃⢠⣀⠀⠀⢀⠀⠀⢃⢀⠈⠌⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣹⣦⣿⣿⣿⣿⣿⣿⡇⠈⠁⣀⠀⠀⢀⠻⣿⣿⣿⣿⠟⠀⠠⠛⠆⠀⠀⠀⠁⠈⢁⢂⠂⠄⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣹⣯⣿⣾⣡⣁⣴⣿⣶⣿⠗⠀⠐⢾⣽⣦⠀⢉⡁⠀⣒⡧⠊⠀⠐⠀⠀⠀⠀⠁⠀⠀⠀⠎⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⣟⣽⣷⡶⡽⠉⢻⣿⣆⣱⣶⡾⠉⠀⢍⣄⣲⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣯⣽⠤⡃⠀⠀⠀⣀⣈⣻⣿⣡⠀⡀⠀⠀⠀⠈⠀⡀⡠⠷⠂⠀⠀⠀⠀⠄⠈⠈⢈⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣯⣶⢯⣩⣗⢤⢚⣻⡶⠿⠿⠿⣧⠆⠀⠁⢤⠀⠐⠈⠀⡀⠀⠀⠀⠀⠀⡀⠀⠈⠈⠀⢀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⢟⣿⣿⣿⣿⣮⣷⣯⣤⣂⣅⢂⣐⣠⢴⣸⣄⣆⢠⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡈⡀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣺⢾⣻⢿⣿⣿⣿⣿⡿⣿⣽⣻⢿⣿⡳⣿⠿⠟⠋⡀⠩⠆⠂⠀⠀⠀⠀⠀⠀⠀⠢⠠⠐⠈⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣫⢾⠿⢷⣝⠎⣿⠽⢿⣿⣷⠹⠆⠁⠧⢀⡔⡦⠚⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡐⠀⠀⠂⠀⠀⢸⣿⣥⣛⡞⠯⢇⡚⠤⢻⠒⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠈⠈⠀⠀⠀⢀⣾⣛⣯⢽⣌⣚⡤⣹⣳⠕⣂⡀⠉⠀⠘⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠠⠀⠀⠀⠀⠡⠁⠀⠀⠀⠄⠀ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⡺⣭⣿⣿⣷⣏⣼⢷⢚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠜⠫⠍⠀⠀⠄⠊⠀⠀⠀⠐⠀⠀⠀⠀ ⢢⠄⠀⠀⠀⠀⠀⠀⠀⢿⣿⡝⢿⣿⣿⣿⣿⣼⢩⡝⡌⡅⠠⠀⠀⠀⠀⠀⠀⠠⣷⡖⣴⣴⠰⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⢌⡃⠀⠀⠀⠀⠀⠀⠀⠙⣷⡺⣓⢾⣿⢿⣿⣏⢎⡴⢦⢡⡀⠀⠀⠀⠀⠀⠀⠰⣿⢻⡃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⠀⠌ ⡘⠶⡀⠠⠈⣢⠄⠄⢄⠀⢹⣿⠼⣣⣿⣿⣿⣿⢼⢧⣓⡊⣇⠈⠀⠀⠀⠀⠀⠰⣷⠊⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠄⠀⠈ ⡹⡜⣧⣮⣯⣕⢳⢤⣀⡀⢘⢆⡵⣹⢏⣿⣿⣯⣷⣻⣷⡃⣞⡆⠇⡄⠀⠀⠀⢲⢣⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠐⡀⠆⠠ ⣳⡝⣾⡿⣿⣿⣻⣿⣿⣷⢻⢿⣶⢟⣞⣾⣿⣿⣾⡏⡇⣳⣸⡆⢰⢦⠀⢀⠠⢸⡷⡄⠶⡠⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠁⠄⠀ ⣷⣻⣿⣿⣏⣿⣽⢿⣿⣿⡞⠁⣁⡀⡇⠙⢿⣿⡿⣼⣷⡿⣾⣠⢸⡀⢠⢨⣌⢺⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢄ ⡷⣭⣿⣯⣿⣿⣟⣻⣿⣿⣧⣊⠋⠉⢀⣰⣿⣻⢧⡿⡟⣻⣷⠻⡿⣗⠋⣮⣿⣿⣛⡄⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠅⠈ ⣿⣼⣻⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣿⢃⠍⣻⣻⣴⣿⡿⢳⣷⣎⣧⢷⢾⣼⣿⠷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠎⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡾⣿⢾⣿⣿⡆⣾⢽⢱⢯⢻⣣⠿⣽⠻⢻⢽⡼⠧⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣻⣿⣿⡿⣽⢾⣎⣞⣧⣀⡷⢁⢤⣯⠛⠃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢝⡹⢚⡿⡟⣿⣻⣿⣿⣿⣿⣿⣿⣿⢿⣹⢮⣟⣾⢿⣿⣷⣧⣾⣯⣷⡆⣿⡤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠈⠁⠉⠁⠙⠹⠯⠟⡟⣿⣻⣿⡼⠥⢛⣼⣹⢞⠿⣿⣿⠉⠛⠋⠉⠉⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠙⠳⣮⠉⢠⠀⠈⠀⠹⣧⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⠳⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(=✪ᆽ✪=)
∧,,,∧ ( ̳• · • ̳) / づ♡
⠀⠀⠀⠀⠀⣀⣤⡴⣶⣶⣶⣦⣤⣤⡀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡴⣻⣽⣿⣿⣿⣿⣿⣿⣿⣷⣯⡦⣅⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢞⣯⣤⣶⣶⣶⣮⣝⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣾⣿⣿⣿⣿⣿⣿⠻⠿⣿⣿⣿⣿⣦⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⡍⠻⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣸⣿⣿⣾⣿⣧⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⣄⣼⣿⣿⡀⠀⠙⢿⡹⠆⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠉⢿⣇⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣿⣏⣹⣿⣿⣿⣿⣿⣿⠻⣿⣿⠃⠀⠘⣿⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢿⣿⠛⣿⣿⣿⣿⣿⠿⣿⠇⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣽⣿⣿⣿⣿⡍⢹⣿⣿⠇⢤⣤⢄⣿⡇⡟⠀⠀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣶⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢉⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢹⣻⢿⣿⣿⣿⢛⠋⠉⠁⠀⠀⠀⠚⠋⠀⠁⣀⠀⠀⢈⢀⣀⣀⣸⣦⣀⡀⢀⣀⠀⠀⠀⠂⠀⠀⠈⠛⢿⣿⣿⠿⠋⠀⠀⠀⣠⢞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣈⣧⠀⢸⣿⡶⠶⠞⠛⠛⠛⠻⠾⣷⣷⠂⠀⠀⠀⠀⠀⠀⠀⠙⠛⠒⠶⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢴⣿⡁⣀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⢀⡀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣭⠒⠀⠀⠀⠀⠀⢠⣆⣿⠁⠁⠀⠀⠀⢀⡤⠀⢀⡤⠊⠁⢀⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⢠⠔⠁⣠⠖⠉⣀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣷⣄⣀⣀⣤⣾⣿⠟⠉⠀⠀⠀⣠⠖⠉⢀⡴⠉⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠖⢁⡠⠞⠁⡠⠚⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠈⠀⠀⠈⠁⠀⠠⠚⠀⠀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣠⢛⣼⣿⡙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣷⣄⠲⢤⣀⠀⠀⣀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡾⠟⠛⠉⠉⠉⠉⢛⢷⣦⡍⢳⠀⠈⠙⠒⠉⠓⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠈⠱⠙⢿⣶⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠛⠋⠀⠀⠀⠙⠓⠒⠦⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⢦⣤⠀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⠦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢱⡄⠈⢻⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⠚⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠙⠒⠶⠤⣄⣀⡀⠀⠀⠀⢸⡇⠈⢿⠀⠈⠁⠀⠀⠐⢾⡷⢂⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠲⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠙⡶⠗⠀⠀⠀⣤⣄⣾⢯⡉⡻⣆⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠙⠓⠻⡯⢿⣶⣲⣤⢤⣄⣀⡀⠀⠀⠀⠀⠀⠈⠿⢛⡇⢨⣧⠁⠘⠃⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⢀⡾⠃⠀⠀⢨⡽⠙⠒⠻⠯⡽⣖⣲⣦⠤⣄⣀⡈⣇⠀⠉⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠻⠤⢤⣄⣀⣠⠏⠀⠀⠀⣠⠟⠁⠀⠀⢀⡾⠃⠀⠉⠉⢹⠟⠿⠯⢿⣿⣶⡦⢤⣄⣀⣀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠉⠛⠓⠢⠤⢬⣍⣙⠓⠒⠶⠧⣤⣀⡀⢠⠏⠀⠀⠀⢀⡴⠋⠀⠀⠀⣰⠏⠈⠉⠛⢳⡇⠉⠙⠓⠛⠦⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣤⣀⡀⠀⠀⠀⠀⠀⠉⠉⠛⠲⠶⢤⣌⣉⡙⠓⠶⠤⣾⣀⣀⠀⠀⡼⠁⠀⠀⠀⣰⢏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠳⠶⠦⣄⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠦⢤⣤⣀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠒⠲⠤⣬⣍⣙⠓⠒⠦⢤⡼⢯⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠒⠦⠤⣄⣀⡀⠀⠀⠀⠀⠀⠉⠉⠑⠒⡾⢡⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠲⠤⢤⣀⣀⡀⠀⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠤⠤⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀ ⢠⠞⠁⠀⣀⣠⣤⠤⠤⠤⠤⢤⣤⠤⠤⠤⠤⣤⣀⣀⡀⠀⠀⠀⠑⢤⠀⠀⠀⠀ ⣣⠔⠚⠻⣄⣡⣞⣄⣠⣆⠀⢼⣼⣄⣀⣀⣠⣆⠜⡘⡻⠟⠙⣲⠦⣈⢳⡀⠀⠀ ⡇⠒⢲⡤⡜⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠤⣖⠬⠓⠂⠉⣿⠇⠀⠀ ⠙⠲⠦⠬⣧⡀⠀⠀⠀⠀⠀⣠⣿⣿⣷⡄⠀⠀⠀⠀⠀⣞⠀⢀⣲⠖⠋⠀⠀⠀ ⠀⠀⠀⠀⠘⣟⢢⠃⠀⠀⠀⠉⠙⠻⠛⠁⠀⠀⠀⢀⡜⠒⢋⡝⠁⢀⣀⣤⠂⠀ ⠀⠀⠀⠀⠀⡇⠷⠆⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⣠⠮⠤⠟⠉⠀⢰⠱⡾⣧⠀⠀ ⠀⠀⠀⠀⠀⠹⢄⣀⣀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⢠⣤⡀⣼⢾⠀⠀⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠒⡏⠀⡡⠣⢖⣯⠶⢄⣀⣿⡾⠋⢸⢀⡶⠿⠲⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣹⠃⣀⣤⠞⠋⠀⠉⠢⣿⣿⡄⠀⣿⠏⠀⠀⠐⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢱⢡⡾⠋⠀⠀⢀⡐⣦⣀⠈⠻⣇⢸⢁⣤⡙⡆⠈⡏ ⠀⠀⠀⠀⠀⠀⣠⠎⢁⠔⡳⡟⠀⠐⠒⠒⠋⠀⠠⡯⠙⢧⡈⠻⣮⠯⣥⠧⠞⠁ ⠀⠀⠀⣀⠴⠋⠀⢶⠋⢸⡝⠀⠀⠀⠀⠀⠀⠀⠀⣸⢦⠀⠙⡆⠘⠦⢄⡀⠀⠀ ⠀⠀⣸⠅⢀⡤⢺⢸⠀⢸⡃⠤⠀⠀⠀⠀⣀⡤⢚⣋⣿⢄⡀⢇⡀⠀⠀⣝⡶⠀ ⠀⠀⢿⠀⡏⠀⠘⠞⠀⢸⡵⣦⠤⠤⠖⣿⠥⠞⠉⠀⢸⠖⠁⠀⠙⠢⣑⠶⣽⢂ ⠀⠀⠸⠤⠃⠀⠀⠀⠀⠀⠉⢳⠂⠈⡽⠁⠀⠀⠀⢀⡼⠒⠓⢤⠀⠀⠀⠙⠚⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⡎⠀⠀⠀⠀⢠⠎⣠⠀⠀⠈⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡶⠗⠋⣱⠄⠀⠀⠀⣧⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠒⠦⣤⣷⠂⢀⡸⠁⠀⡼⠁⠀⠀⠀⠈⢺⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠋⢀⣀⡀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠙⠢⠤⠤⣄⡤⠼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢦⣄⣉⣑⠢⠄⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠉⠉⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠉⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣦⣤⣤⣄⡀⠀⢀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⣿⠟⠋⠉⠉⠙⣻⠿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢠⡞⠁⠀⠀⠀⢀⡴⠋⠀⢀⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢠⠏⠀⠀⠀⠀⣰⠏⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡥⠤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⣠⡏⠀⠀⠀⠀⣼⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣄⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠋⠀⠀⠀⠀⢸⣧⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣾⡿⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⠛⢿⣿⣷⣄⡀⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣦⣼⣿⠀⠀⠀⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⡿⠋⠉⠉⠁⠀⠀⠀⠀⠉⢯⡙⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠃⢀⡤⠖⠋⠉⠉⠉⠉⠉⠉⠒⠦⣄⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⣾⣿⠋⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⢦⣄⠉⠻⢿⣿⣷⣦⡀⠀⠈⠙⠛⠛⠋⠀⢰⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⣴⠟⣫⣿⣿⣄⠀⠀⠀⠀⡶⢌⡙⠶⣤⡈⠛⠿⣿⣷⣦⣀⠀⠀⠀⠀⡇⠀⢻⣄⠀⠀⣠⢷⠀⠀⠀⠀⠀⡶⠀⠘⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⢸⣟⢸⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠈⠛⠦⣝⡳⢤⣈⠛⠻⣿⣷⣦⣀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠛⠦⠤⠤⠚⠁⠀⠀⢳⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠈⢿⣞⣿⣿⣿⠏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⠳⢬⣛⠦⠀⠙⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⠉⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⣠⣄⠀⠀⢰⠶⠒⠒⢧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡟⢿⣷⣦⣴⣶⣶⣶⣶⣤⣔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⣤⠀⠀⠿⠿⠁⢀⡿⠀⠀⠀⡄⠈⠙⡷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡇⠀⣿⠙⣿⣿⣉⠉⠙⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠙⠷⢤⣀⣠⠴⠛⠁⠀⠀⠀⠇⠀⠀⡇⢸⡏⢹⡷⢦⣄⡀⠀⠀⠀⣿⡀⢸⡇⢸⡇⠀⡟⠀⢸⠀⢹⡷⢦⣄⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠢⣤⡀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⡷⣤⣀⡇⠸⡇⢸⡇⢸⠉⠙⠳⢦⣄⡻⢿⣾⣧⣸⣧⠀⡇⠀⢸⠀⢸⡇⢤⣈⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣷⣌⡉⠛⠲⢶⣶⠖⠛⠛⢶⣄⡉⠛⠿⣽⣿⣶⣧⣸⡇⢸⠀⠀⠀⠀⠈⠙⠲⢮⣝⠻⣿⣷⣷⣄⣸⠀⢸⡇⠀⠈⠁⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠻⢿⣷⣶⣤⣉⡻⢶⣄⣀⠈⠙⠳⢦⣈⡉⠻⢿⣿⣷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣛⠿⣿⣷⣼⡇⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣶⣽⣻⡦⠀⠀⠈⠙⠷⣦⣌⡙⠻⢿⣟⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢯⣻⡇⠀⠀⠀⠀⠀⢸⣿⠀⣀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢀⡏⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣶⣤⣤⣤⣀⣈⠛⠷⣤⣈⡛⠷⢽⡻⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢤⣀⠀⠀⢸⣿⡀⠈⠳⢤⣀⣀⣰⠃⠈⠛⠶⠶⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠛⠉⠙⠛⠛⠻⢷⣦⣄⣩⣿⠶⠖⠛⠛⠛⠛⠛⠛⠿⢷⣶⣦⣄⠀⠀⠀⠀⠉⢻⣶⣿⣿⠇⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠀⠀⠀⠀⠀⣠⠖⠂⠀⠀⠀⠈⠙⠿⣿⣦⡄⠀⠀⣸⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠙⢿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠦⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⠄⠙⡿⠿⠦⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠾⠋⠀⠙⢦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⡀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣤⣀⠀⠀⠀⠀⡄⠀⠀⠀ ⠀⠀⠀⣼⠟⣯⡙⣿⡭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡶⠞⠋⣿⠀⠀⠀ ⡀⠀⠀⣿⠉⠻⠀⠈⠀⠀⠀⢾⠆⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⠉⠓⠒⢻⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠉⠛⠃⠀⠀⢠⣦⡀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀ ⠀⣠⠚⠉⠁⠀⠀⠉⠉⠻⢗⠲⠦⢤⣄⣀⡀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀ ⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⣸⣧⠶⠒⠚⠛⠛⣻⠂⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠸⡇⠀⠀ ⠀⢻⣝⠓⠦⠤⢤⢤⠶⣚⣿⡇⠀⠀⠀⢀⡼⢛⡷⡖⠒⠒⠛⢅⠈⠉⠙⠒⠲⠤⢧⣄⣀ ⠀⠈⣏⠹⡟⠒⢲⠚⠋⡟⢹⣧⡀⠀⠀⠀⠀⠊⠀⠇⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⢸⡄⡇⠀⢸⠀⢠⡇⠘⣷⡙⠢⣄⣀⠀⠀⠀⠀⠀⢀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⣼⣀⣸⣇⣸⡦⣤⡇⡏⠓⠦⣬⣍⣙⣛⣛⡯⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠛⠛⠁⠀⠈⣿⡇⠀⠀⡟⠀⠀⢀⡏⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣰⠁⠀⢀⣞⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
* ੈ✩‧₊˚* />  フ |  _ _| /` ミ_𝒙ノ /     | /  ヽ   ノ │  | | | / ̄|   | | | ( ̄ヽ_ヽ)__)* ੈ✩‧₊˚ \二)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣻⣿⢿⡆⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢰⣏⣥⡼⠃⠀⢹⡦⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⢀⣠⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠦⣤⣤⠶⠚⢋⣹⡄⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⡟⢿⠈⣉⣻⣦⣤⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠛⠁⠻⡆⢹⡀⠀⠀⠀⠀⠀ ⣄⡀⠀⠀⣾⣿⢿⣽⠟⠲⡿⠼⠇⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⣷⠘⡇⠀⠀⠀⠀⠀ ⠈⠙⠳⣦⣿⡷⠚⠛⠒⠛⠃⠀⠀⠀⠀⠀⠀⠀⣠⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠿⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⣀⠀⠀⠀⠀⠀⠀⠈⠙⠓⢶⣤⡄⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⢤⣀⠀⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠛⠳⢦⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⡀⠀⠀⠀⠀⣀⣠⠔⠊⠁⠀⠀⠀⠀⠈⠙⠳⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠛⠉⠀⠀⠀⠀⠘⠻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⣀⠀⠀⠀⠀⢀⣠⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣤⣴⠾⠛⠋⣿⠀⠀ ⠀⠀⠀⠀⣠⡾⡋⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡷⠀⣀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀ ⠀⣴⡟⠃⠀⠀⠀⠀⠀⠀⠀⠠⠮⢕⡿⠀⠀⠻⠶⠾⣧⣀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀ ⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠙⠉⠀⠀⠀⠀⣰⣶⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠠⠀⠀ ⢸⣇⠀⠀⠀⠀⠀⣀⣠⣤⡷⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣛⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀ ⠈⠻⠿⠶⠶⠿⠟⠛⠉⠀⠀⠀⠀⠉⠙⠛⠿⠶⣦⣤⣄⣀⡀⠀⠀⠀⠹⠻⢫⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠷⢶⣤⣤⡿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣤⣐⣀⣀⣀⣤⣴⠶⠛⠛⠛⠷⢶⣤⣄⣈⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠤⠤⠤⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠓⠲⠤⠤⠒⠚⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⢀⠖⠢⣀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⢀⠴⠲⡀⣿ ⣿⢸⡀⠀⠈⠑⠲⢤⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣤⠤⠖⠚⠁⠀⠀⡇⣿ ⣿⠀⢳⡀⠀⠀⠀⠸⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣼⡿⠁⠀⠀⠀⢀⡼⠀⣿ ⣿⠀⠀⠙⢤⡀⠀⠀⠈⠛⠻⠿⢿⣿⣿⣿⣿⠿⠿⠛⠋⠀⠀⠀⠀⡠⠋⠀⠀⣿ ⣿⠀⠀⠀⢰⠋⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠖⢯⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⡎⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⢸⡄⠀⠀⠀⣿ ⣿⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣿ ⣿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⢹⠀⠀⠀⣿ ⣿⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠐⠦⡴⢦⠴⠂⠈⠀⠀⠀⠀⠘⡇⠀⠀⣿ ⣿⣀⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣧⣀⣀⣿
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠹⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢼⣿⠀⢿⣿⣿⣿⣿⠀⣾⣷⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣷⡀⠀⠀⠈⠋⢀⣿⣿⣿⣿⣿⡀⠙⠋⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣾⣿⣷⣦⣤⣴⣿⣿⣿⣿⣤⠤⢤⣤⡄ ⠈⠉⠉⢉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡀⠀ ⠐⠚⠋⠉⢀⣬⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣀⡀⠈⠀⠈⠛ ⠀⠀⠴⠚⠉⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠉⠛⠢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀ ⠀⠀⠀⣿⢳⣬⣶⣶⣶⣶⣶⣶⣤⣴⠋⣭⣧⠀ ⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠿⡄ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⠀ ⠀⢀⣿⣿⣿⣽⣽⣼⣿⣿⣿⣿⣩⣽⣿⣿⣿⡄ ⠀⢸⣿⣿⡟⠃⣴⣿⠁⠀⠐⣿⣶⠈⣿⣿⣿⡇ ⠀⢸⣿⣿⣷⠀⠈⠋⠀⠀⠀⠙⠋⠈⣻⣿⣿⡇ ⠀⢸⣿⡿⠿⠧⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠇ ⠀⣾⣿⣿⡀⠀⠈⢑⡖⠂⠀⢔⠊⣹⣿⣿⣿⠀ ⢰⣿⣿⣿⣿⡞⠿⣥⣄⣀⣀⣀⣹⣿⣿⣿⣿⠀ ⢻⣿⣿⣿⣿⣿⣆⠀⠈⠀⠒⣠⣾⣿⣿⣿⣿⡇ ⣼⣿⣿⣿⣿⣿⣏⠂⠀⠀⢸⢻⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠈⢸⣿⣿⣿⣿⡿⡇ ⣸⠛⢿⣿⣿⡯⠀⠀⠀⠀⠀⢸⣿⡿⠋⠁⠀⡇ ⠈⢱⡾⢿⡟⠁⠈⢦⠀⠀⠀⠘⢻⡧⠤⢴⠂⠁ ⠀⢸⠰⡟⠁⠀⢠⠀⠡⡀⠀⠀⠐⢃⠀⡸⠀⠀ ⠀⡌⢀⡇⠀⠀⠀⠓⠄⠘⠄⠀⠐⠈⡀⡇⠀⠀ ⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡇⠀⠀ ⠀⡇⠈⣲⠒⠀⠠⠤⠤⡤⠤⠤⠤⢠⠞⢱⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢻⣋⠇⠘⣄⣀⣀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⡤⢤⡀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⢒⣩⠷⡘⡆⠀⠀⠀ ⣄⡀⢸⡿⣷⢳⡯⠏⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠃⢣⠀⠀⠀ ⠀⠈⠛⠯⣈⠉⠀⠀⠀⠀⠀⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠐⠦⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠉⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢤⠂⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⡠⠮⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠀⠠⠤⠒⠉⠀⠀⠀⠉⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣦⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⠿⠟⠛⠋⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠻⠿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠟⠛⠁⠀⠀⠀⠀⠈⠻⠷⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀ ⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠳⢶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀ ⠀⠀⢀⣿⡏⠀⠀⢀⣀⡀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⢹⣿⡀⠀ ⠀⠀⣼⡟⢀⣴⠟⣿⠉⠛⠿⣦⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⡀⠀⣀⣤⣶⠶⣿⡇⠀⠀⠀⠀⢿⣇⠀ ⠀⢰⣿⠀⣼⠃⣀⠿⠇⢸⣦⣙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠛⠁⠀⠀⣿⡇⠀⠀⠀⠀⠘⣿⡆ ⠀⣾⡏⠀⣿⠀⠿⢣⣶⢲⡄⠀⠘⠃⠀⠀⠀⠀⠀⢀⣤⣭⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢻⣧ ⠀⣿⡇⠀⣿⠀⠀⠘⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠋⠀⣴⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⣿⠁⠀⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠻⣧⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠸⣿ ⢸⣿⠀⠀⠈⠛⠛⠿⠶⢶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡗⠀⣾⠋⡙⠿⠃⢰⡎⢿⣧⡀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠷⠶⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⡟⠐⠟⣰⠶⢶⡄⠀⠹⠇⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠷⠦⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠙⠾⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⢸⣿ ⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠶⢶⣦⣤⣤⣀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⣼⡟ ⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⢠⣿⠇ ⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠻⠶⢶⣦⣤⣀⣀⡀⢹⡇⠀⠀⣾⡏⠀ ⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠇⠀⣸⣿⠁⠀ ⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀ ⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣶⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣶⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡀⢉⡙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠼⠃⠀⠀⠘⠦⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⠉⠳⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣠⠤⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠲⠦⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠹⠆⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠒⠲⠤⠤⣀⣀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣷⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⣾⣦⣼⠁⠀⠈⠳⡄⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠈⠉⠑⢲⡿⠯⢭⣓⣒⠦⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠉⠁⡇⠀⠀⠀⠀⠙⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣰⠏⠀⠀⠀⢀⡼⠋⠛⠒⠢⣭⣽⣗⣒⠦⠤⣤⣀⣀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⠦⢤⣄⣀⣀⡼⠁⠀⠀⠀⣠⠟⠀⠀⠀⠀⣴⠛⠀⠀⠈⠉⣻⠖⠶⠬⣍⣛⣒⠶⠤⣄⣀⣀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠙⠓⠲⠦⢤⣀⣉⠉⠛⠒⠲⠴⣧⣀⣀⠀⢀⡼⠁⠀⠀⠀⢀⡴⠃⠀⠀⠀⢠⡟⠉⠉⠓⠒⣾⡈⠉⠑⠚⠶⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣧⣀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠤⠤⣤⣉⡉⠛⠓⠢⠤⢤⣠⣞⡀⠀⠀⠀⣰⠏⠀⠀⠀⠀⡴⢋⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⠲⠤⢤⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠦⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠦⠤⢤⣈⣉⠙⠓⠲⠧⠤⣄⣀⣀⡞⢡⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠦⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠲⠦⠤⣤⡟⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠒⠤⢤⣄⣀⠀⠀⠀⠀⠀⠀⣞⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠖⠒⠒⠒⠒⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⣠⠏⠀⠀⠀⠀⠀⢀⣀⠴⠋⠘⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀ ⠀⢰⠃⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠉⠑⠒⠤⣄⡀⠀⠀⠀⠀⠀⠸⡆⠀ ⢀⡏⣞⡿⢩⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠔⠒⢹⠀⠀⢹⡀ ⢸⠸⡏⠹⠿⠀⠀⠀⠀⠺⠂⣄⣀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⡸⠀⠀⠈⡇ ⢸⠀⠓⠒⠤⠤⣀⣀⡀⠀⠀⠀⠈⠉⠁⠀⠰⡶⢰⢛⣃⠟⢆⠀⠠⡇⠀⠀⠀⡇ ⢸⡀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠢⠤⠤⣀⣀⠀⢸⠀⠓⠃⠀⠀⠀⠹⡄⠀⢀⡇ ⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠦⠤⣀⣀⡀⢱⠀⣸⠁ ⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢰⠇⠀ ⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠦⠤⠤⠤⠤⠴⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠻⠶⠶⠶⠦⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⢦⣄⣀⣤⠶⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠺⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠙⠛⠶⢤⣤⣄⣀⡀⠀⠀⣿⠁⠀⠀⠈⣷⡄⠰⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠾⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠿⣦⣄⣀⣀⠈⠃⠀⠀⠙⠷⠾⢦⣤⠄⠀⠾⢷⡟⠀⠀⠙⣦⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠓⠶⠦⢤⣤⣀⣀⠀⠀⠀⢸⣇⠀⠀⠀⠸⡇⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠓⠲⠿⠦⣤⣀⣀⡀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠲⠶⢧⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠦⣤⣄⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛
⠀⠀⡤⠤⣤⣀⣀⣠⣴⣶⣤⠤⢤⡀⠀⠀ ⠀⠀⣇⠀⠀⠀⠀⢸⣿⣿⣿⣶⣾⣷⠀⠀ ⠀⢰⠃⠀⠀⠀⠀⠀⠉⠉⠛⠿⣿⡟⠀⠀ ⠖⣺⣀⠀⣤⠀⠀⠀⠀⠀⣤⠀⣐⣟⡒⠂ ⠩⢿⡏⢉⣆⠀⠀⠛⠂⠀⢠⣋⠙⡿⠍⠀ ⠀⠀⠛⡏⣸⣶⣤⠤⢤⣶⣮⢈⡟⠁⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠸⣦⡀⠀⣸⡀⠀⣠⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⠛⠁⠀⠀⠘⢿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⣀⠀⠀⠀⠀⣠⣴⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠟⠋⠉⠉⠙⠛⠻⠿⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⣀⠀⠀⠀⣀⣠⣴⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠧⠒⠛⠋⠀⠐⠢⠤⢄⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠷⠶⠿⠛⠋⠁⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠋⠀⠀⠀⠀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⢶⣦⣤⣤⣀⡶⢫⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⠁⠀⠀⠀⠀⠘⣿⡿⠇⠀⣦⡀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀ ⠀⠀⢀⡽⠿⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⢿⣦⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠻⣷⠦⢤⣀⣀⣀⣠⠤⠞⢉⣽⣿⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡆⠀⠀⢸⡏⠀⠀⠀⠀⠀ ⢸⡿⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⣀⣀⣀⡴⠟⠃⠀⠀⠉⠙⠛⠛⠿⠶⢦⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⢀⣤⣶⠟⠋⠁⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀ ⢸⡇⠀⠲⣤⡀⠀⠀⠸⣿⡍⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠳⠶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀ ⢸⠇⠀⠀⠀⠙⠲⡄⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠶⢶⣶⣤⡴⠟⠋⠁⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀ ⢸⡇⠀⠀⡀⣒⣒⡂⢸⡿⠶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠈⣿⠀⠀⢷⣄⠈⠉⠛⠛⣦⣼⣧⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⣴⠋⠀⠀⠀⠀⠀⠀⠀⣠⡟⣆⠀⠀⠀⠀⠀⠰⠦⠤⢤⣸⣗⠀ ⠀⣿⡇⠀⠀⠙⠛⠿⠿⠿⢿⣏⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣍⣉⡳⣤⣀⣀⡠⠴⠟⠋⠉⠀⠀⠀⠈⠉⠛⠓⠒⢦⡶⠀⠒⠛⠉⠀⠹⣷⣄⣀⣀⠀⠀⠀⣠⣾⠟⠻⠻ ⠀⢿⣷⠀⣦⠐⠤⣤⣄⣀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⣠⡾⠓⠚⠉⠉⠀⠈⠉⠉⠉⠉⠀⠒⠦⠤⢤⣄⠀⠀⠀⠀⠀⠠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣻⣿⣿⡿⠛⠉⠀⠀⠀ ⠄⣄⢻⣷⣌⡇⠠⣤⣤⣰⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⢈⣦⡤⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⡴⠋⠀⣀⣴⡾⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠈⠡⠙⠻⠿⠿⠷⡶⠿⠁⠀⠀⠀⠀⠀⠀⠈⠁⠉⠻⣧⡤⠀⠀⠐⠒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⢁⣴⣾⣯⠤⠶⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣀⣀⣀⣀⣤⣤⣠⣤⡴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⣤⣶⡾⠿⠟⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⣦⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
─────────────────────────────────────── ───▐▀▄───────▄▀▌───▄▄▄▄▄▄▄───────────── ───▌▒▒▀▄▄▄▄▄▀▒▒▐▄▀▀▒██▒██▒▀▀▄────────── ──▐▒▒▒▒▀▒▀▒▀▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▀▄──────── ──▌▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▄▒▒▒▒▒▒▒▒▒▒▒▒▀▄────── ▀█▒▒▒█▌▒▒█▒▒▐█▒▒▒▀▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▌───── ▀▌▒▒▒▒▒▒▀▒▀▒▒▒▒▒▒▀▀▒▒▒▒▒▒▒▒▒▒▒▒▒▒▐───▄▄ ▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▌▄█▒█ ▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒█▀─ ▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▀─── ▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▌──── ─▌▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▐───── ─▐▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▌───── ──▌▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▐────── ──▐▄▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▄▌────── ────▀▄▄▀▀▀▀▀▄▄▀▀▀▀▀▀▀▄▄▀▀▀▀▀▄▄▀──────── ૮₍ ´• ˕ •` ₎აฅ^•ﻌ•^ฅ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⠶⠶⠶⠶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠁⠀⠀⠀⠈⠳⠶⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀ ⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀ ⠀⢀⡿⢁⣤⢶⠖⠶⣤⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣀⠀⠀⣀⣤⣴⡆⠀⠀⠈⣿⡀⠀ ⠀⣼⠇⣾⢁⡸⠃⠴⠌⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⠀⢸⡇⠀⠀⠀⠸⣇⠀ ⠀⣿⠀⣿⠈⠁⣯⣿⠀⠀⠁⠀⠀⠀⠀⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⣿⠀ ⢸⡟⠀⣿⡀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠘⠷⠶⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠶⣤⡀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⣿⡆ ⢸⡇⠀⠉⠛⠛⠶⠦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢰⣿⡷⢀⡟⣉⠻⠀⡾⢿⣆⠀⠀⠀⣾⡃⠀⠀⠀⠀⠀⢸⡇ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠲⠦⠤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⡇⠙⢸⣛⡆⠀⠙⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⣾⠇ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠶⠦⢤⣤⣀⣀⠀⢸⡇⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⣿⠀ ⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠳⠶⠤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢸⡟⠀ ⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠲⠦⢤⣤⣿⠀⢀⣿⠁⠀ ⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣾⠇⠀⠀ ⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠿⠶⠶⠶⠶⠿⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⢦⡄⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠈⣷⠤⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠉⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⣀⣤⡴⠛⠁⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠳⣤⠀⠀⠀⠀⠀⠀⣿⠉⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠼⠇⠀⠀⠘⣇⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠙⠣⣄⠀⢀⣠⡤⠤⠤⠶⠚⠛⢀⣀⣤⣄⣀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠈⠳⢏⢁⣠⡤⡦⠀⠀⠀⠀⠉⠀⢈⣩⣗⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣤⣀⣀⣀⣰⠏⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠐⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⠀⠈⢧⣀⣀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⣠⣶⡖⣶⣄⡀⠀⠀⠀⠀⢈⣻⠾⢀⣤⣞⣿⣄⣤⣍⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⡜⠿⠿⢿⡿⠀⠀⠀⣴⣶⣶⡆⠈⠙⠓⢺⡷⠤⣄⡉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠚⣫⣥⣴⡄⠀⠙⠛⣟⠁⠀⡀⠀⢸⡇⠀⠈⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢋⡴⢋⡿⣀⡀⠀⢀⣿⠤⠞⠁⢀⡾⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣄⠀⠀⠀⠀⠀⠐⠃⢠⠟⠀⡸⠁⠈⠉⠉⠉⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⣀⠀⠀⢰⠏⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀ ⢸⡗⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀ ⠀⠙⠶⢤⡀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⢀⡾⠁⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀ ⠀⡾⠁⠀⢠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⣸⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⢷⡀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⢀⡟⠀⢠⡏⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⠀⠀⠻⣆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⢀⡿⢸⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢷⡀⠀⠈⠳⣄⡀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⣾⣀⡾⠀⣿⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡀⠀⠈⠙⠒⠢⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠉⠀⠀⢹⡀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠶⣤⣀⠀⠀⠀⠀⣈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⣤⣤⣤⣴⢿⡄⠀⠀⠀⠙⣧⠀⠀⠘⣧⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠈⠳⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⣤⠉⢷⡼⣧⠀⠀⠀⠀⠈⢷⡀⠀⠘⢷⣀⠀⢀⣷⣼⢿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠶⠤⢤⣤⡤⣿⡁⠀⠐⣦⣼⣧⡼⠃⠸⣆⠀⢀⡀⢠⣤⣿⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠙⠧⠤⣽⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣠⣄⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡔⢊⣥⣄⠁⠀⠀⠀⢻⣽⣷⣆⢠⣤⣶⣶⣶⣶⣤⡀ ⣤⣴⣾⡏⠀⣾⣿⣿⣷⠀⠀⠀⠻⣿⣿⡿⢸⡿⠛⠛⠉⠉⠉⠀ ⠈⠙⢿⡇⠰⣷⣯⣿⠟⠀⠀⠀⠀⠈⠉⢀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⡁⢰⠛⠉⠉⠁⣀⣤⠴⠖⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⢺⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡇⠀⠀⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⢁⣤⣤⣤⣴⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⣷⣀⠙⢉⣠⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣾⣿⡿⢿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡟⠉⠀⠘⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣷⣄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⢿⣿⣦⣴⣶⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠋⠀⠀⠀⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠹⣿⠟⠁⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⣶⣼⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣤⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠈⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠾⠟⠛⠁⠀⢠⡀⠀⠀⠙⢿⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⢀⡀⢿⣆⠀⠀⠀⢠⠈⠉⠛⠿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣼⣿⢷⡀⢠⠏⠀⠀⢀⣠⠀⠈⠉⠛⠻⢷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣾⣿⠋⢀⣤⣖⢋⣠⡀⠀⠀⠀⠀⠀⢈⣙⣻⢷⣦⣀⠀⠀⠀⠀⣀⣠⣴⣾⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣟⢿⣿⠀⠸⣿⣿⣿⣯⣙⡓⣲⣶⣶⡿⠿⠟⠛⠛⠋⠛⠿⣷⣶⠿⠟⠋⠁⠈⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⣶⡒⠂⠤⢄⣿⣿⣿⣧⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀ ⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⣄⣀⠀⠀⠀⠀⠈⠁⠒⠛⢯⠀⣽⣿⡿⢶⣭⣉⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀ ⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣴⣤⣈⠉⠑⠲⢤⡀⠀⠀⠀⠈⠳⣿⣿⣯⠀⠤⠽⠿⠿⠶⠦⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀ ⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⣶⣤⣀⠉⠲⠤⣤⡄⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀ ⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⡏⠉⠉⠙⠿⣿⣿⣷⣦⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀ ⠸⣿⡀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⡶⠿⣷⣶⣤⣤⣄⣀⡀⠀⠀⠸⣄⠳⠦⣤⣀⣀⣈⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⠀⠀⠀ ⠀⠙⠻⠶⠶⠶⠶⠶⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⢶⣾⣿⣶⣤⣤⣴⠚⠁⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠶⣶⣤⣤⣄⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣄⡀⠀⠀⠀⠀⢿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣶⣤⣤⣤⣤⣴⠶⠿⠛⠉⠁⠀⠀⠈⠉⠙⠛⠻⠷⢶⣶⣾⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣔⣒⣢⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣖⣚⣛⣛⡥⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⢛⡍⢫⡙⣍⢋⠟⠿⣧⣔⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⠿⡛⢭⡉⢏⡹⣉⠻⢶⣅⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣽⠏⡔⡣⠜⠥⢶⣈⡎⡜⡡⢎⠩⢟⣦⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢟⡡⢆⠣⢍⡒⣜⡦⠵⠦⣝⡢⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⣼⠋⠀⠀⠀⠀⠈⠙⠶⣕⢊⡱⢊⡜⠻⣮⡑⠤⢀⣀⡠⢤⣶⣶⣡⡭⠭⠭⠭⠭⠵⠦⠴⠬⠭⠭⠭⢩⣅⣐⣂⡠⢀⡀⡀⣠⣼⡷⠟⡑⠦⣑⢊⣵⠞⠉⠁⠀⠀⠀⠈⢳⣅⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡐⡧⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣌⠱⣨⠱⣘⢻⣷⠾⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠿⣿⣏⠱⡩⠜⡱⢨⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⡌⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⠰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⡱⡘⢤⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣡⠣⡙⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡃⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⣿⢣⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⣩⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣣⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠥⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⣿⢊⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢰⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢻⡇⣽⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢾⡷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠠⢷⡀⠀⠀⠀⣀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣤⣀⠀⠀⠀⢠⡿⣈⣿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣿⣧⣭⣿⠶⠚⠋⠁⠀⠀⠀⠀⠀⣀⣤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢖⠲⣤⡀⠀⠀⠀⠀⠈⠛⠓⠶⠿⣵⣬⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠥⣒⠢⢥⡙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢏⡱⢊⡌⡓⢤⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢮⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣌⠓⡤⢋⠴⣈⠧⣘⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣑⠪⠔⣣⠘⡥⢊⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡙⠴⣉⠦⡑⠦⣑⢊⠽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢋⡜⠤⣋⠜⡤⢋⡔⢣⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡓⣌⠒⣍⠲⢡⠎⡜⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⠒⡬⡑⠦⡩⠔⣣⢘⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡘⢣⡘⡜⣃⠼⢠⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠛⡤⢃⢇⢣⢛⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣖⣡⢎⣒⣥⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣜⡰⣉⣲⣬⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡝⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡧⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⠀⠈⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢏⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣝⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⡻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⠋⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠉⣿⣘⡢⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣪⡵⠞⠋⠉⣿⠀⠀⠈⠙⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠙⠀⠀⠀⢻⡁⠉⠓⠶⢭⡒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠁⠀⠀⠀⢰⣧⠀⠀⠀⠀⠀⠀⠉⠛⠷⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠿⠛⠁⠀⠀⠀⠀⠀⠀⣸⠄⠀⠀⠀⠀⠉⠳⢮⡖⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢴⡽⠏⠁⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠶⣶⣤⣤⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⡶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣍⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⢊⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠉⠉⠙⠛⠛⠛⠛⠶⠶⠶⠷⠶⠶⠶⠾⠶⠶⠶⠛⠛⠛⠛⠉⠉⠁⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢔⣵⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣕⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢮⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠀⠀⠀⠀⠀⠀⠀⠙⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⢳⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⣄⣀⣀⡀⠀⣀⣈⣿⣆⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣁⣀⣀⣀⣀⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀ ⠀⠀⢰⢧⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠋⠉⠉⢻⣦⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀ ⠀⠀⡞⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣦⡀⠀⠀⠀⠀⠀⠐⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣯⣆⠀⠀ ⠀⣸⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣤⣀⠀⠀⢈⣿⣿⣿⠀⠀⠀⣀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣎⡆⠀ ⠀⣏⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠾⠏⠈⠻⠶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⢱⠀ ⢘⣼⡗⢬⡉⠗⠶⢤⣀⣀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣀⣠⡴⠖⣫⠑⡆⣿⡬⠀ ⢠⣿⣏⠒⡬⣙⡘⠦⣡⢋⠽⣙⢹⢩⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢓⡚⢫⡙⣍⠲⢌⡱⢂⡝⡘⣿⡧⠀ ⣹⣿⡧⣙⠰⣂⠕⡪⢔⢊⠦⡑⢎⢼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠤⣙⢢⢑⠢⡍⢦⢑⠣⡜⡡⢿⣇⠀ ⢌⣻⡗⢤⠓⡬⡘⢅⠎⡜⢢⡙⣌⢺⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡃⢆⠣⢎⡱⡘⢦⡉⢖⡡⢃⣿⣏⡄ ⠸⡸⣿⢠⣿⡆⡹⢬⡞⣌⠱⢒⡌⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⡌⢳⠨⣔⣽⠢⡜⣸⡷⢣⣿⢹⠀ ⠀⠡⡻⣭⣿⣇⠱⢺⣷⢌⡓⡌⣾⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣎⢅⠣⢼⣿⠱⡘⣼⣯⣿⢏⠇⠀ ⠀⠀⠘⠝⡿⣷⣍⣾⣿⣦⢘⣼⣿⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⢻⣎⡱⣾⣿⣅⣳⣿⣿⠯⠊⠀⠀ ⠀⠀⠀⠀⠈⠒⠻⠿⠛⠿⠿⠟⠉⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⡏⠛⠿⠿⣿⠓⠿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢎⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠶⠶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡴⢴⡶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣯⠁⠀⠈⠐⠀⠂⠂⠐⠘⠂⠐⠀⠉⠁⠉⢡⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢻⡦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⣴⣗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢠⠣⢍⠫⡝⣩⠛⡖⣛⠲⠲⠖⠶⢦⢤⡤⣤⡤⢦⠤⡤⢄⣾⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠠⡤⢤⡤⡤⡤⡤⢤⠴⠶⠲⠖⠶⡒⢖⡋⢏⡹⢍⡹⢄⢣⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⢢⡙⠬⡑⢦⢡⢋⠴⡡⢋⡱⣉⠞⡰⢊⡔⢢⠜⣡⠚⠴⣹⡟⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢻⣧⠑⡎⠴⡑⠦⡑⢎⡜⣡⢋⡜⣡⠙⡆⡍⢦⡑⠎⡴⢉⠞⣿⡻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣷⢏⠲⡡⢎⠱⣉⠖⡌⢎⡒⢥⢃⠖⡡⢎⡑⢣⡘⢥⠚⡤⡙⣼⡿⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡜⣿⡵⣈⠓⡬⡑⣍⠲⢌⡔⠪⡔⣡⢋⠴⣉⠦⣘⠱⡌⢣⠎⣩⢻⣜⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⣿⢃⢎⡑⠦⣉⠖⣡⠚⡌⢦⢉⠖⡌⢎⡱⢌⡜⣡⠚⢤⢋⠴⣱⡿⡵⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣜⣷⣌⠳⢰⡑⢢⢍⠲⢌⡓⢜⡐⠎⢦⠱⡘⢤⠓⣌⠣⡜⡄⢣⢹⣧⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡜⣿⣎⡲⢌⡱⢌⠚⡤⡙⡌⢦⡉⢎⠜⣢⠑⣎⠰⢢⡙⢢⢎⣲⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢼⣿⣌⠥⡘⢥⢊⡱⢊⠜⡢⢍⡚⢤⠣⣙⠢⢍⢢⢓⡰⣉⣦⣽⡟⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠝⣛⠿⢷⣾⣷⣶⣷⣼⣦⣼⣾⣼⣦⣽⣦⣿⣶⣿⡷⣟⡟⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⢿⣶⣷⣮⣷⣮⣵⣶⣭⣶⣷⣴⣯⣾⣶⣷⠷⣿⠫⠗⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠁⠈⠉⠘⠒⠛⠗⠐⠋⠒⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠛⠒⠙⠉⠉⠉⠈⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠉⢻⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣤⢤⣤⣴⠟⠋⠀⠀⠀⠀⠀⠀⠉⠛⠻⣶⣤⠤⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⣄⣀⠀⠀⢸⣿⠽⣶⡘⣟⠀⣰⡆⠀⠀⠀⠀⠀⠀⠀⣀⠉⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⠛⠛⠷⠤⢄⣘⡀⠈⠀⠓⠻⠶⠀⢴⣶⡞⣯⠽⣦⠀⢾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠤⠤⢀⣀⣿⣝⠁⠋⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠓⠲⠤⠬⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠂⠤⠤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡀⡠⠔⠒⠐⠉⠙⣆⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⣮⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠐⠿⠃⠀ ⠀⣄⠀⠀⢸⠀⢀⡀⠀⠸⠀⠘⡃⠠⣳⣖⠀⢀⣦⣀ ⠈⠻⠉⠀⣿⣤⢘⠉⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠙⠀ ⢼⡦⠀⢊⢿⡋⠀⠀⠀⡴⢴⠒⠄⠀⠘⢄⢠⠛⡄⠀ ⠀⠁⠀⠀⠀⠉⢱⠂⠀⠀⠺⠂⠀⠀⠀⠀⢻⣰⠁⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢴⡄⠀⣀⣀⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣀⠀⢀⡀⣼⣿⣿ ⠀⠀⢸⢿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠟⠛⢟⢟⠋⠉⠁⠀⠀⠀⠀⠀⠘⢫⡉⠉ ⠐⠒⠒⠛⣻⠩⠭⡙⠁⢀⡠⠔⠒⠐⠒⡠⠭⠕⠒⠂⠀⠀⠀⠀⠀⠐⢄⢱⠀ ⠀⠀⠀⠊⠀⢀⠎⢀⠎⠁⡄⢰⢀⡆⠘⠁⠀⠀⢈⡑⠠⡀⠀⠀⠀⠀⠀⡎⠀ ⠀⠀⠀⠀⢠⠂⡰⠁⣠⣤⣄⠘⢸⠗⣰⡠⣼⣾⣷⣶⣦⠉⠱⡄⠀⠀⠀⠃⠀ ⠀⠀⠀⠀⠆⡐⠑⠀⣿⣿⣿⠇⠀⠁⠉⠀⠻⣷⣿⣿⠟⠀⠀⠙⡄⠀⠀⠀⠀ ⠀⠀⠀⢀⢠⠁⠀⠀⠀⠈⠀⢰⣷⣶⡤⠀⠀⡀⠀⠀⠀⣀⡀⠀⢱⢰⢀⠀⠀ ⠀⠀⠀⢸⠸⠀⠀⠀⠀⠀⠀⠀⣹⠃⠀⠀⠀⣄⣈⢥⣬⣦⣤⣀⣸⢸⣸⠀⠀ ⠀⠀⠀⠀⢆⠂⠀⠀⠀⠀⢰⡯⠤⣬⣷⣤⣄⣴⣽⡷⣽⣦⣍⡺⢳⣷⣧⡀⠀ ⠀⠀⠀⡶⠛⢳⣄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⢿⣽⣿⢿⣶⣿⣿⣿⠃⠀ ⠀⠀⠀⠁⣰⡟⠉⠁⢉⠓⠂⡠⠀⢀⠀⣀⣤⢤⣮⣭⣷⣿⣿⣛⡿⢿⣿⠀⠀ ⠀⠀⢀⣼⡿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠡⠐⠈⠉⠉⠛⠉⠀⠀⠈⠛⠀⠀ ⠀⠀⠘⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠄⣀⡀⠀⠀⠀⠀ ⠀⠀⠠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⡨⠖⠒⠋⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⡀⠀⠀⠀⣈⠁⠒⠒⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣀⣠⠤⠖⠒⠛⠻⠉⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠤⠤⢤⣀⡀⢀⡴⠚⠉⠉⢻⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠾⢯⡉⡽⠀⢸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⡸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⡇⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡇⠀⠉⠉⣟⠒⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠸⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⢶⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠠⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠿⢶⣄⢀⡤⠁⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠈⢿⡿⠁⠀⡸⠋⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣦⣄⡀⠀⠀⠀⠀⠀⠀⣰⡟⠛⢶⡀⠀⠀⠀⠀⠰⣿⡗⠀⡄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠻⣶⣿⠁⠀⠸⠷⠀⠀⠀⠘⠶⠾⠛⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠧⣀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠤⢤⡀⠀⠀⠀⠀⠈⠑⠲⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⣠⠼⢤⠀⠉⠻⠿⠿⠂⠀⠀⠀⠀⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠘⣦⠤⣄⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡷⢤⡀⠀⠀⠈⠁⠀⠈⣿⠙⠂⠀⠀⠈⠒⠲⢤⡀⠀⠀⢲⠀⠀⣇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠸⡇⠀⢿⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⢶⠖⠀⠀⢀⡠⢾⣀⣰⣆⠀⠀⠀⠀⠀⠀⠀⢸⢧⠀⠀⣷⠀⢸⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠋⠉⠀⠀⠀⠀⠈⠓⣶⠤⠀⠀⠀⠘⠓⣬⣧⠀⢸⠀⣼⠀⠈⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠒⠒⠖⠋⠉⠙⠋⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣶⣶⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣾⣷⣿⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣤⠀⠀⠀⠀⢠⣶⣤⠀⣿⣿⡀⠀⠀⠀⠻⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣾⣦⡀⢠⣴⣾⣷⣦⡀⢠⣶⣾⣶⠆⣶⣿⣿⣶⠀⠀⠀⣾⣿⣿⣶⣿⣿⣶⣾⣶⡀⣴⣶⡆⣠⣶⣷⣶⠄⠀⠀⠀⢠⣶⣾⣖⢠⣶⣷⣶⣶⣶⢰⣿⣿⣷⠀⠀⠀⢶⣶⡄⣴⣶⡀⣴⣶⢺⣿⣿⣶⣶⣦⠀⣴⣶⣷⣶⣄⢰⣶⣶⣶⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠉⣿⣿⡇⣾⣿⡏⢹⣿⣷⠸⣿⣷⣤⡀⠙⣿⣿⠉⠀⠀⠀⢹⣿⣿⠉⣿⣿⠋⣿⣿⡅⣻⣿⡇⠻⣿⣷⣄⠀⠀⠀⠀⣿⣿⡏⠁⣾⣿⡏⢹⣿⣿⠈⣿⣿⡏⠀⠀⠀⠘⣿⣇⣿⣿⣧⣿⡟⢸⣿⣿⢹⣿⣿⢸⣿⣿⣤⣿⣿⢸⣿⣿⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣦⣿⣿⠇⢹⣿⣧⣼⣿⡏⢠⣤⣽⣿⡷⢈⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⣿⣿⠀⣿⣿⠆⣻⣿⡇⣠⣬⣽⣿⡇⠀⠀⠀⢿⣿⣷⡤⢹⣿⣧⣼⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⢹⣿⣿⠃⢸⣿⣿⢨⣿⣿⠘⣿⣿⣠⣶⡦⢸⣿⣿⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⠙⠛⠋⠀⠀⠙⠛⠛⠋⠀⠈⠛⠛⠋⠁⠀⠛⠋⠀⠀⠀⠀⠈⠛⠉⠀⠙⠋⠁⠙⠋⠁⠙⠋⠁⠉⠛⠛⠋⠀⠀⠀⠀⠀⠙⠛⠋⠈⠙⠛⠉⠛⠉⠀⠙⠋⠁⠀⠀⠀⠀⠈⠛⠁⠈⠙⠋⠀⠈⠛⠉⠈⠙⠋⠀⠈⠛⠛⠋⠀⠈⠙⠋⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣇⣸⣿⣿⢀⣀⡀⠀⠀⣀⣀⣀⠀⢀⣀⡀⠀⣀⣀⠀⠀⠀⢸⣿⣯⠀⢀⣀⣀⡀⠀⠀⣀⣀⠀⣀⡀⠀⢀⣀⣀⡀⢀⣿⣿⣇⠀⠀⠀⠀⢀⣀⣀⡀⠀⣀⡀⠀⣀⣀⠀⣀⣀⢀⣀⡀⠀⠀⢀⣀⣀⠀⠀⠀⣀⣀⣀⣸⣿⣷⡀⠀⠀⠀⣙⣛⠁⣸⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⢿⣿⣿⢿⣿⣿⢀⣾⣿⠛⣿⣷⢸⣿⣧⢸⣿⡟⠀⠀⠀⢸⣿⣧⢰⣿⡟⢻⣿⡆⣰⣿⡿⢿⣿⣿⠠⣿⣿⡛⠋⠸⣿⣿⡿⠄⠀⠀⢠⣿⡿⠻⣿⣆⠻⣿⣶⣿⠏⢸⣿⣿⠿⣿⣿⡀⣼⣿⡟⢻⣿⡄⣼⣿⡿⠿⢿⣿⣿⠇⠀⠀⠀⣿⣿⠽⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡏⢸⣿⣿⠸⣿⣿⢸⣿⣿⠿⠿⠿⠈⣿⣿⣼⣿⠃⠀⠀⠀⢸⣿⣯⢿⣿⡿⠿⠿⠧⢿⣿⡇⢸⣿⣿⠀⠻⣿⣿⣄⠀⣿⣿⡇⠀⠀⠀⢸⣿⡿⠿⠿⠿⠀⣿⣿⣿⠀⢸⣿⣿⠀⣿⣿⡇⣿⣿⡿⠿⠿⠧⣿⣿⡇⠀⢸⣿⣯⠀⠀⠀⠀⣿⣿⡄⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⢸⣿⣿⢘⣿⣿⠈⣿⣿⣤⣶⡶⠀⠸⣿⣿⡏⠀⠀⠀⠀⢸⣿⡷⠸⣿⣧⣴⣶⠆⢹⣿⣷⣾⣿⣿⢀⣶⣤⣿⣿⠀⣿⣿⡇⠀⠀⠀⠸⣿⣷⣴⣶⠇⣼⣿⠿⣿⣦⢘⣿⣿⣶⣿⣿⠁⢻⣿⣦⣶⣷⠂⢿⣿⣷⡆⢸⣿⡷⠀⠀⠀⠀⣿⣿⠆⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠉⠁⠀⠉⠉⠀⠀⠉⠉⠉⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠈⠉⠁⠀⠈⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠀⠉⠉⠉⠁⠀⠈⠉⠀⠀⠀⠀⠀⠈⠉⠉⠁⠈⠉⠁⠀⠉⠉⢸⣿⣿⠉⠉⠁⠀⠀⠉⠉⠉⠀⠀⠀⠉⠉⠁⠈⠉⠁⠀⠀⠀⠀⠉⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠒⠛⠋⠛⠙⠛⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠈⠙⠛⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠉⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠲⣤⡀⠀⠀⠀⠉⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⣠⡴⠞⠉⠀⠠⠐⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⢀⣠⢁⣠⢀⡙⠶⣄⡀⠀⠀⠀⠀⠉⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⣠⣴⠿⠿⠞⠛⠳⠶⣶⣤⡀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⢰⣞⣛⠩⡉⢍⡙⠛⡛⠷⠿⣶⣤⡀⠀⠀⠀⠀⠈⠓⢦⣄⠀⡀⢀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⣀⣴⠛⡉⢄⢂⠒⡈⢆⣱⣴⠶⠛⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡧⠀⠈⠉⠛⠛⠶⣤⣧⣐⠄⠒⢠⣈⣻⡷⠀⠀⠀⠀⠀⠒⠋⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⣄⣀⣠⡾⠋⡀⠆⢡⢂⣬⠶⠟⠋⠉⠀⠀⠄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠤⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢨⡗⠀⠀⣠⣤⡥⠴⠦⠶⠟⢃⣩⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠏⠓⠶⣥⣘⠄⡛⠶⢦⣤⣀⡐⠈⢀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⣏⠀⠀⠙⠳⣦⣅⠘⡠⢘⣼⠋⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡉⠻⢶⣌⣐⣬⠽⣿⡦⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠐⠈⠹⢷⡄⣿⠉⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠉⠻⣧⡄⠀⠠⠐⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠈⢀⠂⠸⢿⠃⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠈⠻⣦⠁⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠄⠂⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠠⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⣲⢭⠳⣜⢬⣋⢗⡲⢤⡀⠀⠀⢾⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⢀⡇⠀⣠⢴⡄⠀⠀⠀⠀⠀⢠⣻⡆⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠨⠇⠀⠀⠹⢦⠀⠀⠀⠀⠀⠀⠀⢸⡏⠳⢦⣄⡀⠸⡆⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣼⣷⠷⠾⣿⣼⣦⣙⢮⡱⢧⡹⠀⠀⣼⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠳⠤⠀⠀⠘⢲⠿⣋⣡⣼⣦⣤⣤⣤⣴⣟⣀⢳⡀⠀⠀⠀⢠⢯⡟⢦⡀⠀⠀⠀⠀⣼⣡⣀⣀⣀⣌⣻⣦⣀⠀⠀⠀⠀⠀⡗⠀⠀⠈⠙⠳⠇⠀⠀⢀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠉⠀⠀⠀⠀⠀⠈⠙⠿⣶⡙⢶⡩⠇⢠⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠃⠀⠀⠀⢀⡴⠾⠛⠉⠁⠀⢠⣿⣿⣿⣿⣿⠉⠛⠷⣄⡀⣠⢏⡿⠀⠈⢷⣀⣤⠖⠛⠉⠉⠀⠀⠀⠀⠈⠉⣿⣿⣷⣦⣄⡐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⣩⡷⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⡇⠀⠀⠈⠙⣧⠋⠀⠀⠀⣨⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⢷⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠁⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⡧⠀⣺⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⡁⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⢺⡅⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡷⠀⢹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠁⠸⠆⠀⠀⠀⢠⣀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⢠⠏⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠂⣼⠀⠀⠀⠀⢾⠷⠿⢶⣧⣶⣬⠆⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⣴⡟⣷⣦⣄⡀⠀⠀⠀⠀⠀⠙⠿⠋⠀⠀⠀⠀⠀⢀⣠⠞⠀⠀⠀⠘⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣀⡖⠀⢀⢾⡟⡴⢭⣿⡙⠓⠶⠶⠶⠶⠦⠤⠤⠴⠖⠶⠖⠒⠋⠁⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠟⠀⠀⠀⢀⣰⣾⢯⠀⠀⠀⠀⠀⢀⣿⢆⡄⡀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣡⡾⠶⢛⠇⡮⢽⡿⣜⢣⡽⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⢤⣤⣤⣀⣀⣈⣁⡠⠤⠴⠒⠋⠁⣿⡮⢇⠀⠀⠀⠀⣸⣏⢮⠳⣍⣛⢖⣲⣤⠞⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢠⡞⡽⣜⡿⣿⣜⢣⣞⣽⠷⣄⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⢸⣿⣣⠀⠀⠀⢀⡿⣜⣮⣽⠾⠟⠻⢯⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⡀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠁⠀⣿⠾⠛⠋⠁⢀⠽⠳⣤⡀⠀⠀⠀⠀⠈⠙⠶⣤⣤⣤⡴⠶⣤⡀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢄⡾⢹⣷⠄⠀⢀⡞⠁⠈⠛⣷⠀⠀⠀⠀⠀⠉⠛⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠈⠙⠳⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠶⠴⠶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣀⣶⠿⠁⠀⢻⣇⣠⠏⠀⣀⣶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⣠⣴⡷⠞⠛⠉⠁⠀⠀⠀⠀⢻⢁⣴⢞⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⡀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠱⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠓⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢛⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣜⡆⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣯⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡜⣣⡀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⢿⣝⡲⣱⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⠦⠤⠤⣤⡾⣟⠦⣝⣱⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢬⡛⣴⡃⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢮⡱⢶⣱⣀⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠒⠒⠒⠂⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⢀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠈⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⡗⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢚⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡆⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡏⠀⠀⠀⠀⠀⠀⠰⠛⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠐⣄⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⣄⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣐⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠄⠀⣀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠁⠠⠀⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⢈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠈⢀⠠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢶⡶⠶⠴⠶⠶⠶⠿⠲⣿⣿⣿⣧⡀⠡⠀⠄⡀⢀⠀⠀⠀⡀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⡀⢀⠂⠀⢄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣠⣤⣤⣤⣴⣶⣿⣷⡀⠄⠠⠀⠄⢂⠁⣻⣿⣿⣿⣿⣦⣐⠠⢀⠂⡈⠄⡁⢀⠲⢇⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠂⡁⢠⠐⢠⣀⣦⣽⣾⣿⣿⣿⡿⠟⠛⣉⣉⣬⣤⣥⣤⣬⣬⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣦⣤⣤⣭⣭⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⡷⣾⣤⢥⡌⠀⠂⠸⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣾⣶⣶⣾⣿⣿⣿⣿⣷⣶⣾⣷⣶⣶⣶⣶⡶⠶⠿⠷⠿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢧⡀⠰⠤⠆⠖⠖⠺⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠘⠋⠛⠙⠛⠛⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠊⣿⣿⡻⣟⡿⢿⡿⣿⢿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⢯⡝⡎⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⢻⡿⣾⣿⣯⣴⣶⣂⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣐⣠⣷⣶⠾⠿⠛⠓⠙⠊⠁⠉⠘⠋⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢡⣿⣯⡝⣯⢻⣟⡻⣟⣻⣛⢯⡟⣽⣫⢿⠹⠏⠞⠱⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠷⠿⣿⣶⣶⣶⣀⣀⣠⣀⣀⣀⣠⣤⣤⣤⣴⣮⡶⠾⠟⠋⠀⠈⠀⠀⠀⠀⠉⠀⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⡑⢄⡀⠀⠀⠀⠀⠀⠀⢀⡴⣪⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⡨⠆⠉⠊⠉⠀⠈⠉⠐⠉⠮⣰⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀ ⠀⠀⠐⠠⠄⡀⡈⠀⠀⡰⠂⡄⠀⠀⠀⠀⡔⢢⡄⠀⠘⣀⡀⠤⠒ ⠀⠀⠠⠤⠤⠤⡯⢥⡆⠑⠛⠁⢀⣻⣃⡀⠙⠛⠁⣶⢭⡧⠤⠤⠤ ⠀⠀⢀⡠⠄⠒⠙⡅⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⡝⠁⠒⠠⠄ ⠀⠀⠀⠀⠀⠀⠀⡨⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀ ⢀⠖⠐⢢⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⡆⠀⠀⠀⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⢡⠀⠀⠀⡇⢡⠀⠀⠰⡄⠀⠀⠀⠀⡀⠀⠀⠀⡆⠀⠀⢠⠓⡀⠀ ⠈⡄⠀⠀⠸⡀⠣⡀⠀⡇⠀⠀⠀⠀⡇⠀⠀⢠⠁⠀⡠⡇⠀⢡⠀ ⠀⠈⢄⠀⠀⠑⢄⠈⠢⢴⡀⠀⢠⠀⡇⠀⠀⣌⠠⠚⣡⠃⠀⣸⠀ ⠀⠀⠀⠳⣀⠀⠀⠑⠂⠤⢙⣛⡋⠉⢙⣣⣊⠀⠤⠊⠁⠀⡠⠃⠀ ⠀⠀⠀⠀⠀⠑⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠐⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠒⠂⠀⠀⠐⠒⠂⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢳⣄⠙⢶⡀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣸⣽⣦⣶⠟⠟⠋⠉⠐⠒⠒⠚⠛⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⡿⠟⠉⠀⠀⣠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⢀⡴⣿⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⡄⣠⢠⣶⠋⢠⠇⢀⠀⠀⢰⠛⡄⠀⠀⠀⠀⢠⠤⠖⠚⠛⠓⠲⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣼⢃⢧⡿⠇⠀⡼⠀⡞⠀⢀⡏⡼⣇⡆⠀⠀⠀⠘⣆⡠⠤⢲⡆⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢾⠃⣾⣾⣿⣤⡀⡇⢰⡇⠀⣸⣇⡃⢹⡇⢐⡆⠀⠀⢹⢀⡴⠋⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⡏⢀⣿⣽⣽⣿⠀⡇⢸⢹⣄⣿⣿⠛⢸⡇⠸⡇⠀⠀⢸⠏⠀⣠⢾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⢸⣿⡺⠿⠋⠀⢳⢸⠈⠻⣿⣿⣦⣼⡇⢸⠁⣤⠀⣾⡤⠞⢁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⣇⣸⡿⠇⠀⠚⠃⠈⠛⠀⢄⠿⣟⣿⣿⣡⢏⣼⡏⣸⠃⡄⣨⡞⠀⠀⠀⠀⣠⡟⠻⡆⠀⠀⠀⠀ ⠈⠉⠒⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⡀⠀⠀⠤⢤⣀⣀⠀⣉⣍⣰⣿⡷⢿⣿⡴⠃⣤⣿⡟⠀⠀⠀⠀⠀⢻⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣤⡀⠀⠀⠀⠀⠀⠈⢛⣋⠀⢸⣿⣿⣧⡶⣿⣿⠀⠀⠀⠀⠀⠀⠸⣆⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⣈⣽⠶⠶⠶⠶⣶⣞⠋⠀⠀⣿⠙⢿⠀⠀⣿⡿⣦⡀⠀⠀⠀⠀⠀⠙⢧⡀⠈⢳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⡀⠀⠀⠀⠀⠀⠀⣿⣾⠋⠀⠀⠀⣀⣠⠤⠾⣷⠀⠀⠹⣦⣈⣤⡀⠹⣝⢿⡯⡓⠲⢤⣀⠀⠀⠀⢳⡄⠀⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⡴⣾⣿⠛⣻⣳⣄⢀⣠⢾⠉⠀⠀⠀⣿⠀⠀⢀⣼⠻⣿⠶⠦⠝⢿⣽⣾⣶⡦⣌⡻⣦⡀⠀⡇⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢿⣧⣼⣟⡍⢳⠟⠁⢸⠀⠀⠀⠀⠸⠦⠴⠛⠁⠀⠈⠻⣭⠩⠩⠆⠀⠀⠉⠳⣝⢿⣷⠀⡇⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠤⣀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠫⢷⡀⠀⠀⠀⠀⠀⢸⡆⢻⢧⡇⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣠⠶⢤⣀⠀⠀⢀⣜⣵⠃⠀⠘⣿⡀⠀⠀⠀⠀⣸⣧⠏⡼⠀⢀⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢾⣶⠖⣾⠏⢙⡦⣌⡟⠃⠀⠀⢸⢹⡷⣦⣄⠐⠚⠉⢀⡼⠁⠀⡼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠿⠵⣶⡯⠖⠻⢦⣀⠀⠀⢸⣦⠟⢦⡛⠳⣤⡶⠚⠁⣠⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⢼⡏⠀⠀⠀⠀⠈⠻⣦⠞⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⡀⠀⠀⣿⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⢿⡈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⡛⠶⣤⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⠿⠟⢛⠛⠙⠻⠛⠟⠛⠟⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠃⠀⠃⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠛⠛⠛⠃ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣤⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⡿⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠟⠀⠀⢀⣼⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠃⠀⠀⠀⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⠃⠀⠀⠀⠀⠙⠛⠛⠋⣀⢀⣀⠀⠀⢀⣤⣤⣤⣤⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠃⠀⠂⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣤⣴⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣟⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⣀⠀⠀⠀⠀⢀⣴⣤⣴⣾⣿⣿⣿⣽⣗⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⡀⢸⣏⠀⠀⠀⢀⣾⣿⠿⠿⠿⠿⢿⠿⣿⢿⣿⣾⣷⣮⡄⡀⢠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⢄⠠⢀⠄⡠⢠⠀⣀ ⣿⣷⡘⣼⡇⠀⠀⠀⢸⣿⡍⠀⠀⠀⠀⠀⠂⠀⠂⢀⠈⣝⣿⣷⡵⣢⢳⣌⠲⣄⢆⡠⠀⠀⠀⠀⠀⠀⠐⣀⠒⡌⣌⠲⣩⠰⡑⣆⡙⠤ ⣿⣿⣜⣿⡃⠀⠀⠀⡘⣿⣷⣀⠀⣀⢀⠠⡀⢤⣑⣮⣿⣿⣿⣿⣿⣷⣏⢾⡙⣆⢎⠤⢑⠂⡄⠐⠠⢀⠂⡐⠨⡐⢌⠱⢠⢋⡵⢮⣝⣣ ⣿⣿⣿⣿⢠⠀⠰⡀⢱⢻⣿⣿⣿⣦⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⡻⣜⡎⡞⢤⢩⡐⣉⠆⡄⠒⡈⠄⡁⠊⠤⢁⠒⣘⢳⡚⡴ ⣿⣿⣿⣿⣆⢇⢂⠱⢌⣾⡹⣿⣟⢻⡛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣦⣳⡜⡴⣊⠬⡑⣌⠰⣈⠱⡈⢆⠱⣈⠧⡱⠱ ⣿⣿⣿⣿⣿⣚⠤⢃⠺⡔⡙⡘⢄⠃⠜⣱⢻⢾⡽⣯⢿⣽⣻⣟⣿⡿⣿⣿⣿⣿⡿⣿⣟⡷⣟⡿⣵⣫⢵⣌⠶⣩⠖⣍⢆⡒⢤⢳⡡⢋ ⣿⣿⣿⣿⣿⣿⣽⣎⠑⠠⠐⠀⠈⠀⠂⢄⠫⣞⡽⣯⢟⡾⣝⣻⠾⣽⢳⡟⣾⢳⡟⡷⢯⠿⣽⢻⡽⢯⣟⡾⣯⢷⣻⣜⢮⣜⣣⢷⡱⣩ ⣿⣿⣿⣿⣿⣿⣿⣷⣬⣄⡀⢠⡀⠀⠀⢂⠑⣌⠺⢥⡛⣼⡹⣼⣋⣞⣣⠟⣜⡣⢏⡽⣩⠟⡜⢯⢞⡻⣜⢯⡝⣯⢷⣛⣟⢮⣳⣯⠳⣥
ᅠᅠᅠᅠᅠᴍᴇᴏᴡ ᅠ/l、 (゚、 。 7 ᅠl、゙ ~ヽ ⠀ ᅠじしf_, )ノ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠒⠒⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠙⠒⠲⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⢉⣀⡤⠴⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠶⠤⣄⣈⠉⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⢁⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⢤⣀⠙⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⢉⣠⠖⠋⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠉⠓⢦⡈⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⢀⡴⠋⠀⠀⠀⠀⢠⣾⡿⠛⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⣷⣆⠀⠀⠀⠀⠉⠳⣄⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠏⢀⡴⠋⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠈⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⢀⠄⢿⣿⣧⠀⠀⠀⠀⠀⠈⠳⣄⠘⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠁⡴⠋⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⢻⢻⣿⡀⠀⣀⣀⠀⠀⢀⣾⡿⠃⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠈⢷⡄⠱⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠟⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⣀⣤⣴⣿⣾⠿⠿⠿⠿⠻⠿⠿⢿⣿⣦⣤⡀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⡄⠘⣦⠀⠀⠀⠀ ⠀⠀⢠⠇⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠠⠀⣠⠞⠋⠀⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠃⠆⣤⣄⡀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠈⢦⠀⠀⠀ ⠀⢠⠏⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣶⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠘⣇⠀⠀ ⠀⡎⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠸⡄⠀ ⠀⠀⣼⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⢳⠀ ⠀⠀⡏⠀⠀⠀⠀⠀⠺⢿⣷⣦⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠘⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⡿⢿⡶⠲⢦⡀⠀⠀⠀⠀⠸⣿⡿⠃⠀⠀⠀⠀⠀⠰⣿⣿⣷⠀⠀⠀⠀⢀⣤⠔⠒⠘⣿⣿⣷⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⣇⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡃⡀⠃⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠸⡇⠀⠀⠿⣿⣿⣿⡋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠹⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⠿⢿⣿⠛⢛⣃⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠱⠤⣀⣰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣷⣤⢿⣿⣿⡿⢷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⢹⣿⣿⣿⣿⠟⠁⠀⠀⠈⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣶⣤⣠⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⣾⣿⠏⠀⠀⠀⣸⣧⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣷⣿⣿⣿⣿⣷⣶⡦⢶⣿⣩⣿⡿⠋⠀⠀⠀⣠⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢇⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠙⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠘⣆⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠸⣷⣄⡀⠀⠀⠀⠀⠀⣀⣤⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⠆⠀⠀ ⠀⠀⠙⡆⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⢻⣿⣷⡀⠀⠀⠀⢺⢻⣿⠋⠁⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⢠⠏⢀⡎⠀⠀⠀ ⠀⠀⠀⠙⣆⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠘⡾⣿⣧⠀⠀⠀⢸⡸⣿⡀⠀⠀⠀⠀⠀⠀⣠⣿⠟⣹⣿⠀⠀⠀⠀⣰⠋⢠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⡀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢠⣦⡀⠀⠀⢀⡇⣿⣿⡄⠀⠀⢸⡇⣿⡇⠀⠀⠀⠀⠀⣰⣿⠃⢸⣿⣿⠀⠀⢀⡼⠃⡰⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣆⠈⠧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠈⠻⢿⣮⣳⠿⢇⣿⣿⡇⠀⠀⠸⡇⢸⣿⠀⠀⠀⠀⣰⡿⠃⣠⣿⣿⡏⠀⡠⠊⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠲⣄⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠻⢿⣿⡿⣟⡽⠁⠀⠀⠀⢷⠈⣿⡀⠀⢀⣼⡿⠁⣠⣿⣿⡟⠀⠈⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡈⠓⠤⣀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⢸⡆⣿⣇⣠⡿⠋⢀⣼⣿⠟⠋⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⡈⠛⠲⣤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢹⣿⠋⢀⡴⠛⠉⢀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠦⣄⡀⠉⠓⠲⠦⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡠⠟⠉⠉⢉⢉⣀⡴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠛⠲⠤⠤⢄⣀⣀⣈⣉⣀⣀⣀⣀⣠⠤⠤⠤⢶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠿⠷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠈⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠛⠉⠉⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠻⠿⠷⠶⢶⣶⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣠⣤⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀ ⢠⣶⡿⠿⠛⢛⣫⣿⣿⣶⣶⠶⢶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠛⠛⠛⠛⠛⠛⠿⣶⣤⡀⣿⣷⣦⣤⣤⣀⠀⠀ ⣿⣯⣀⣀⣠⣾⡟⠉⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣿⡏⠉⠛⠛⢻⣷⡄ ⠈⠙⠛⠛⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣶⣶⣶⡿⠛⠀ ⠀⠀⠀⠀⠘⣷⣀⣀⣀⣤⡀⠀⠀⠀⣀⠀⠀⢠⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣧⣤⣠⣴⣦⣀⠀⣀⣤⣦⣀⣀⣠⣾⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠛⠛⠙⠿⢷⣶⠿⠛⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠙⠛⠛⠛⠉⠉⠙⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠠⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⢈⣽⣏⠊⣿⠁⣷⣴⡀⠩⡐⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⡔⢵⢋⡃⢫⣏⠻⡆⣿⣼⠋⢻⣦⡼⠀⠀⠈⠠⡀⠀⠀⠀ ⠀⠠⢳⠋⠩⡧⡀⢻⡇⠀⣷⣿⣛⡀⠈⠟⠀⢐⠲⠀⠁⢘⢆⠀⠀ ⢠⠏⢁⢀⣴⣾⣶⣤⡁⠐⣏⣿⣵⡿⠀⣴⣿⣿⡻⣦⣄⡀⠙⢆⠀ ⢇⡤⠞⢺⡏⣿⣿⡏⣷⢀⠈⠸⠉⠀⣰⣇⠻⣿⠇⡸⠀⠉⠹⡌⡀ ⣿⢁⣀⣠⣑⣜⣿⣪⣿⠷⣊⣠⣀⡆⠪⠧⠩⢭⡉⠀⠤⡄⣂⣳⡇ ⣿⡾⣧⣛⣷⣿⠏⡄⡁⠀⠛⢿⣿⠛⠁⠀⢶⣄⠩⣳⣴⣊⡘⠏⠇ ⢻⣷⣾⠟⢻⣶⢛⡥⢖⡁⠀⣸⣇⡀⠠⠭⣓⡢⠵⣃⣤⠝⠿⡿⠀ ⠀⢿⠷⢝⡣⡸⡴⣊⣥⢒⣱⣿⣿⣷⣌⣕⣖⢭⡒⣤⣡⣟⡴⠁⠀ ⠀⠀⠻⣟⠝⣫⠚⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠃⠫⣶⣯⡝⠁⠀⠀ ⠀⠀⠀⠈⠺⢷⡍⡀⠈⢿⣷⣿⣿⢿⢾⡿⠁⣠⣺⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠚⠻⠦⠯⠿⠟⠿⠯⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣷⠄⠀⢘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠳⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠆⢸⣿⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⢦⠀⠀⠀⠀⠀⠀⠠⣯⣿⡿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠈⠉⣀⠀⠀⠀⠠⠽⠛⠁⠀⠀⠀⢠⠞⠀⣸⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢦⡀⢀⡄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠒⠋⠁⠀⠉⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠴⠋⠁⠽⣻⣶⣂⡀⢀⣀⣀⡀⠀⠀⠀⢀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠲⠤⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⡴⠃⠀⠀⠀⠀⠉⠀⠀⠹⠋⠀⠀⠙⣷⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠈⠑⢶⡄⠀ ⠀⠀⡾⣙⣈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⣠⡞⠀⠀ ⠀⢰⡇⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⢠⢴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠑⢄⡰⣏⠀⠀⠀ ⠀⢸⡇⠒⠉⡩⠛⠁⠀⠀⠀⠀⠀⠋⣼⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡴⠋⠀⢸⡀⠀⠀ ⠀⠈⣧⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠰⣦⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠸⡇⠀⠀ ⠀⠀⡟⢧⡀⠀⠀⠀⠀⢀⠴⠊⠉⠓⣼⡄⠠⣄⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⣿⠀⠀⠀⠀⢀⡇⠀⠀⠀⢸⠹⡄⠀ ⠀⠀⣷⠀⠙⠲⢤⡤⠞⠁⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠈⣯⡍⠀⠀⠀⢀⡞⠀⠀⠀⢠⡏⠀⢸⡀ ⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠳⣄⠀⠀⠀⠈⠉⠓⠢⠄⠀⠀⠀⠀⠀⠀⠀⣠⡾⠗⠒⠒⢤⡎⠀⠀⠀⡇ ⠀⠀⠀⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣆⠀⠀⠙⢶⠤⠤⢤⣀⣀⣀⣀⣀⠴⠚⠉⠉⢋⠟⠈⠀⠀⠀⠀⠳⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⣀⡠⠴⠊⠁⠀⠈⠓⠦⠤⠞⠀⠀⠀⠀⠀⠀⠀⠸⣄⣀⢀⣀⣼⡀⠀⠀⠀⠀⠀⠰⠊⢠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠛⠦⠀⠀⠀⠀⠀⠴⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡠⠛⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⠀⢠⡖⣶⡾⢁⡀⠀⠀⠀⠉⠛⠒⢲⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠓⠂⠤⠌⢈⡙⠂⠴⡾⡟⠆⢸⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠛⠒⠤⠄⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⠛⠁⠀⣄⠀⠈⠻⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⣴⠸⣦⡀⠀⡰⠀⠉⠙⠻⠶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣽⡴⠁⣀⡤⠊⠀⠀⠀⠈⠙⠻⢶⣄⡀⠀⠀⠀⠀⢀⣀⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡟⢿⠇⠸⣾⣷⣿⣓⣲⣦⣶⡶⠿⠛⠚⠛⠷⣦⡴⠾⠛⠉⣿⠀⠀⠀ ⠀⠀⠀⢀⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠶⢔⢀⣀⡿⢿⣷⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡊⡑⠢⠤⣀⡀⠀⠀⠈⠱⣸⣿⡏⠛⢲⣦⣄⣀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀ ⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣦⣤⡈⠲⠤⣀⡄⠘⠉⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⡸⢜⠉⠉⠙⢿⣿⣷⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡀⠀⠀⠀ ⢿⣤⣀⣀⣀⣀⣤⣶⠶⠛⠋⠛⠛⠶⠶⣦⣤⣄⣘⣮⣑⠒⠒⣒⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀ ⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠷⢦⣤⣄⣀⡀⣠⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⢀⣀⣤⡴⠶⠾⢿⣦⣄⣀⡀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⠿⠛⠛⠛⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⠛⠉⠉⠉⠙⠛⠿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⣀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀ ⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀ ⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀ ⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁ ⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀ ⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀ ⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⡿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣷⣶⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⡿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠎⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⡀⠞⠁⠀⠀⠁⠁⠐⠒⠒⠋⡹⠀⠀⠀⠀ ⠈⢢⠀⠾⠃⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀ ⢰⠣⡄⠠⢄⠀⠾⠅⠀⠀⢠⣰⠁⠀⠀⠀⠀⠀ ⠀⠀⠐⢤⣀⠀⣀⣆⢰⠉⠢⡇⠀⢀⠤⠤⣀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠙⠀⠈⠳⡀⠘⠤⡀⠀⢆ ⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⢸⠀⠸ ⠀⠀⠁⠀⢥⠀⠀⡇⠀⠀⠀⠀⠀⠀⣱⠼⠀⡘ ⠀⢀⡇⠀⠢⠄⢀⠃⠀⢐⠀⠀⠀⠀⡇⠤⠋⠀ ⠀⠸⢄⣀⠜⠀⢸⡀⠴⠋⠀⠉⠁⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠛⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡠⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠘⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠻⠷⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢠⣿⠃⠙⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⡿⠃⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⠿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠏⠀⠉⠉⠀⢀⡄⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⡀⠀⢀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⢃⣀⡶⠀⠀⠀⠸⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⡶⠟⣡⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠾⠟⠛⠛⠛⠛⠛⠿⣷⡄⠀⠀⠀⠀⠋⠁⠠⠾⠋⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠋⢿⣤⣀⣀⣀⣀⣀⣀⣤⡴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⢀⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇ ⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⣰⡟⠋⠛⠛⠿⣦⣄⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⡀⠀⠀⠀⠀⣀⣠⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⡀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢹⣧⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿ ⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠋⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁ ⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀ ⠀⠀⠀⠀⠀⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣦⣄⣀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠻⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣶⢶⠶⢶⠶⢶⠶⢶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣶⣏⣳⣶⡖⣾⣵⣷⣲⣖⣷⣾⢽⣷⣗⣾⣶⣆⣶⣶⣲⣷⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⣀⠤⠄⡦⠐⠒⠒⠂⠤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⡴⢧⠛⠃⡸⢀⣠⣤⣤⣄⡀⢢⡀⠀⠀⠀⠀⠀ ⠐⠋⠀⡰⢌⣀⠎⣰⣿⣿⣿⣿⣿⣿⣶⡔⡀⠀⠀⠀⠀ ⠀⠀⡐⣰⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⢿⢿⣿⢻⣿⣿⣿⣿⣿⣿⠤⡄⠀⠀ ⠀⢀⣿⣿⣿⡿⠟⠀⢻⠉⢿⣿⣿⠿⣿⣿⣿⡏⠁⠀⠀ ⠀⡜⣿⣿⢹⡀⠀⠀⠈⠀⢸⣿⣿⠆⣿⣿⣿⠇⠀⠀⠀ ⠀⢡⣿⣿⠀⠀⠀⠀⠀⠐⣿⣿⣧⣾⣿⣿⣯⠀⠀⠀⠀ ⠀⠀⠹⣿⣦⡀⠈⠀⠀⠈⢸⣿⣿⣿⣿⡽⢋⢦⡂⠤⡄ ⢤⣤⣶⣿⣿⠻⣦⣴⣦⠀⢸⢏⣿⣿⠉⢢⢜⡀⠈⠈⡣ ⢸⣿⣿⣿⣿⣷⠙⡿⡿⣆⠀⠠⠃⠆⠀⢡⠚⠒⢄⣸⠀ ⠀⠙⣿⣿⠉⠙⡀⢁⡦⠀⡀⠀⢴⡔⠠⠁⠀⠀⠈⡿⠀ ⠀⢠⣿⣇⠀⠀⠐⠤⢙⠤⡀⠀⣘⡰⠁⠀⠀⠀⠀⡇⡆ ⣖⣞⡛⢛⣵⠀⠀⠀⠀⡟⢓⣚⡛⢱⠀⢖⠤⢤⣜⡷⡃ ⡇⢙⠁⠏⠉⡆⠀⠀⠀⠃⢸⣉⣱⢸⠀⠛⢓⠈⠀⢡⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠁⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠞⠛⠋⠀⠀⠀⠀⠀⠀⠈⠛⠳⢶⣤⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣤⣤⣤⣀⡀⠀⢀⣠⡶⠟⠉⠀⠀⠀⢀⣀⣠⣤⣤⡶⠄⠀⡀⠀⠀⠀⠈⠻⣶⡀⠒⠒⢲⣿⡹⣷⣄⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠈⠉⠉⠙⠓⠟⠁⠀⠀⣼⣿⣻⠀⡉⠉⠿⠛⠛⠛⢻⡀⠙⣦⡀⠀⠀⠀⠈⢿⡄⠀⣼⠃⠉⢻⣿⡘⠢⣄⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠇⣡⣶⣿⠛⠦⠶⠲⢦⣌⡛⢲⡋⠻⣄⠀⠀⠀⠘⣇⣼⠧⣀⣰⠟⠁⠙⢆⠈⠳⣄⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣧⡀⠀⠀⠀⠀⢠⣴⣿⡿⠋⠀⣄⣻⣍⠻⠃⠀⠀⠀⢶⣄⣹⡄⠳⣤⠾⣦⠀⠀⢠⡿⢁⠀⣸⠟⢦⡀⠀⠈⢳⡀⠘⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣷⡄⠀⠀⠀⠀⢹⠊⢸⡆⠀⢧⢨⣿⠦⣀⣦⢤⣿⣿⠆⣩⣦⠀⠀⠳⣼⠀⣀⡾⠁⠉⣹⠟⢦⡀⠙⢦⣠⡾⠻⣦⠘⠀⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠏⠀⠀⠀⠀⠀⠘⡲⠞⢡⠀⠈⢿⡉⢙⡧⡿⠙⠛⠉⠘⠛⠁⠀⠀⠀⠘⠉⠉⢠⡤⣾⠟⠚⠛⢻⡋⠛⢻⡀⢀⣿⡄⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠘⢧⣀⣸⠀⠀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⢸⣶⠧⢴⣞⡛⠛⠉⠀⠀⠀⠀⠀⠈⠳⣄⣀⣠⣤⠀⠀⠀⠀⠀ ⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⡏⠁⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣀⠀⠀⠀⣠⣴⠶⠛⣏⣩⠟⠀⠀⠀⡄⠀ ⠀⢀⣄⠻⢷⣄⡀⠀⠀⠀⠀⠙⣲⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡼⠿⡍⠀⢦⣠⠞⣇⠈⢳⡀⠀⢸⡀ ⠀⣟⢿⠛⠷⠾⠛⠓⠚⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢒⣦⡖⠛⡿⠀⠀⠀⠀⢈⣀⣀⣹⣴⠟⣇⠀⠸⡄⠀⢳⠀⠀⠇ ⠀⢿⣼⣆⣀⣀⢠⣄⣀⣀⣀⣀⣀⣞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠉⣿⣁⠀⢠⡀⠀⠠⠖⠋⠉⢿⠛⢻⠶⣤⣷⠀⠸⠂⠀⠀ ⠀⠈⠙⢻⡉⠉⠉⢿⠉⢿⡙⢯⡿⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣍⡀⠀⢀⡼⠁⠘⢦⡀⠹⣆⠀⠀⠀⠀⠈⠀⠀⠀⠀⢹⣻⡆⠀⠀⠀ ⠀⡆⠀⠀⢳⡀⠀⠈⢧⡀⠻⣾⠓⠂⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠠⠤⣝⣶⣋⡘⢦⡀⢀⣷⡾⠛⣟⠛⠛⠛⠛⠛⠛⠛⠉⢻⠉⠀⠀⠀⠀ ⠀⢻⡀⠀⠀⠳⣄⠀⠀⠙⣶⣟⠉⠀⢀⣾⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣤⠞⠋⠈⢯⠉⠛⠻⡿⠦⣽⣄⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣄⡀⠀⠙⢷⣶⡟⠋⠉⠀⣠⡟⠁⠀⠀⠙⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⢀⣷⣀⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠲⠀⠀⠉⠻⢿⡲⠚⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣈⣽⠿⠋⠉⠉⠉⠉⠉⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠿⠛⠛⠛⠻⠷⣶⣄⡀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⢀⣤⣶⠿⠟⠛⠻⠿⢷⣦⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣤⣾⠏⠁⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀ ⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⢀⣴⣶⣦⣄⠀⣿⣿⠏⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀ ⠀⠀⠀⠀⠀⠀⣿⡂⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠀⣿⡟⠀⣴⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠋⣰⣿⡇⠀⠻⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⣠⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠻⣧⡀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠀⠀⠀⠀⣼⡿⠋⠀⠙⠿⣷⣦⣤⣤⣴⣶⡿⠟⠉⠀⠀⠹⣷⣄⣀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡅⠀ ⠀⠀⠀⣼⣿⢃⡔⠁⢄⡈⢳⡄⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠷⠿⠿⠟⠋⠁⠹⣿⡀ ⠀⠀⠀⣿⣿⠸⡄⢁⠂⡐⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⡉⠙⢦⡀⢹⣧ ⠀⠀⠀⢻⣿⠀⠹⠤⠂⠀⠚⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠂⠄⡡⢈⡇⢸⣿ ⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⢾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠐⠠⣁⡼⠃⢸⣿ ⠀⠀⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⠗⠀⠈⠁⠉⠀⣠⣿⠏ ⠀⣾⡿⠇⠀⠉⠙⠻⢿⣶⣤⣄⣀⠀⠈⠻⢷⣤⡀⢀⣠⣶⣿⠿⠛⠉⠀⠀⠀⠀⠀⣠⣴⣿⠏⠀ ⣾⡿⠃⠀⠀⠀⠀⢀⣴⣿⡿⡿⣿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣴⣦⣶⣶⣶⣶⣾⣿⠿⠋⠁⠀⠀ ⠘⠻⣷⣤⣀⠀⢀⣾⣿⢯⢷⡻⣼⢏⣾⣿⣿⣯⣿⣽⣿⣿⣻⣽⣻⢻⣿⣟⠛⠛⠻⠷⣶⣦⡀⠀ ⠀⢀⣠⣿⣿⣿⣿⠿⣿⣯⣾⡿⢿⣯⣿⣟⣾⣽⣿⣟⣾⣿⣳⡞⣽⣏⡾⢿⣧⠀⠀⠀⢀⣼⣿⠀ ⠀⣸⣿⠁⠈⠙⠉⠀⠈⠙⠋⠀⢸⣿⣞⡿⡽⣞⣧⢟⣟⡷⣻⣼⢳⡾⡽⢯⣿⣆⠀⣀⣽⡏⠁⠀ ⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣾⣱⣟⡾⣜⢯⢾⣱⢷⣺⢻⣼⣛⡿⣼⣿⣾⡟⠛⠁⠀⠀ ⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⢀⣴⣿⠿⠿⠿⢿⣷⣿⣾⣾⣿⣾⣿⣾⣭⣿⣵⣿⣿⡏⠁⠀⠀⠀⠀ ⠀⠀⠀⠙⠻⢶⣶⣶⣶⣶⠿⠛⠁⠀⠀⠀⠰⣿⠁⠀⢀⣩⣈⠉⠉⠉⣉⠉⠉⠙⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣶⣾⠿⠛⠻⣧⣴⣾⠟⠻⢶⣶⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠓⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⢳⣄⡀⠀⠀⠀⠀⠀⠀⡹⠤⠀⠈⠳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠞⠀⠛⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⡾⠿⠆⠀⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⠀⣸⠀⢠⣠⡄⠁⠀⠀⠀⠀⢀⣀⡤⠤⢤⣄⠀⠀⠐⠡⠆⠀⠹⡀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⠀⠀⠀⠀⢠⠞⠉⠒⠒⠒⢒⡟⠀⠀⠀⠀⠀⠀⠀⢧ ⡴⠒⠦⣀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⢦⣀⣀⣀⡤⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢧⠀⠀⠈⠳⣈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠈⠣⡀⠀⠀⠉⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎ ⠀⠀⠙⠦⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀ ⠀⠀⠀⠀⠀⠉⠉⠑⠒⢲⣶⣶⣶⣶⣶⣶⣶⣶⣒⣶⣖⠒⠒⠒⠒⠒⠊⠁⠀⠀
⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣷⣌⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠉⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠉⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣷⠿⠋⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠉⠿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⡀⠀⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⠀⠀⠀⠉⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣇⠀⢀⣀⣀⣈⡙⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⠀⠀⣀⣀⣉⣿⣷⣶⣴⣶⣶⣶⣾⡿⠀⠀⠀⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣇⣼⠋⠉⠻⢿⣿⣝⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣀⣴⣶⠿⠿⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣄⣴⠒⠶⣿⣿⣷⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠈⢻⣿⣿⣎⠻⣿⣦⠀⠀⠀⠀⣠⣶⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠙⣿⣿⣷⡌⠻⣷⣄⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⠀⠈⢻⣿⣿⣄⠈⠻⣿⡍⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣠⣾⠟⠙⠳⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⢻⣿⣿⣆⠀⠙⢿⣦⠀⠀⠀⠀⠀⢰⣿⠃⣰⣿⠉⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⣿⠘⣿⣧⠀⠈⠻⣷⡀⠀⠀⠀⠀⠀⣰⣿⣁⣀⠀⢀⣼⡿⠀⠀⠐⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡿⠀⠈⢿⣷⡀⠀⠙⣿⣄⠀⠀⠀⠀⢻⣿⣿⣿⣷⣾⠟⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠻⣷⠀⠀⠈⠿⣶⡀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣦⣀⢙⣷⠀⠀⠀⢙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠿⣟⠉⠀⠀⠀⣼⠇⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠉⠙⢿⣦⣶⣿⣦⠀⠈⠿⣦⡀⠀⠀⢀⣠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⣼⣏⠀⠙⣎⠳⣀⠀⠙⣷⣀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⡾⠿⠟⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠀⠀⠀⣠⡾⠋⠻⣷⡀⠈⢷⣙⢦⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠖⢻⣿⠁⠀⠀⠙⢿⣦⠀⠙⢦⣼⣿⠀⠀⠀⠀⢀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠻⣷⣶⠾⠛⢿⣦⣤⣴⠶⠛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣯⠙⢿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠈⢿⣶⡀⠀⠀⠁⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣦⠜⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⢸⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⣸⡟⣀⣴⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⣀⣼⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠙⢷⣞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢶⣶⣤⣄⣀⣀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣶⣉⠙⢷⣶⣄⡀⠀⠀⣹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⠾⠈⠙⢿⣦⣤⣿⠀⠙⢿⣄⠀⠀⠀⠀⠀⣼⡟⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠈⠻⣷⣄⣀⣤⣾⡛⣆⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⣄⠈⠳⣌⢳⡀⠘⢿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣄⡙⢦⡙⢦⠘⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣽⣮⣳⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣽⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⣶⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⣸⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⣿⡀⠀⠀⠀⣠⣾⣿⡿⠉⠻⠾⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣿⡇⠀⢀⣾⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠊⠣⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠂⠠⡐⠉⠀⠀⠀⠀⠀⠀⠈⠐⢄⠠⢄⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠐⠀⠀⠠⠀⣀⡀⠀⠁⠀⠒⠠⢄⡀⠀⠀⡠⢤⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠈⠘⡩⠒⢠⠄⣠⠀⣀⠀⠋⡃⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠜⣀⠀⠴⢀⣀⠊⠀⡀⠉⠁⠞⠁⢳⠤⢄⠠⠼⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠄⣈⠁⠐⠀⠉⠨⠆⣀⠊⠤⢐⡁⢀⠔⠃⠀⠀⠈⠁⠒⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⠀⠀⠠⢀⣀⠉⠐⠂⣫⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⢀⣾⡯⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣇⠀⠀⠸⠿⠁⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⢀⣾⡇⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠸⠟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠣⢄⡈⠉⠓⠒⠦⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠁⠙⠦⡀⠈⠑⠦⣄⡀⠀⠀⠀⠉⠉⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠈⣧⠀⠀⠈⠣⡀⠀⠀⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠈⠉⠙⠛⠋⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠈⠢⡀⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⠤⠴⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠎⠀⠀⠀⠀⠀⠉⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀ ⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⡇⠈⠢⣤⣀⡀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⡟⠦⣤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠙⡆⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⠆⢰⠃⠀⠀⠀⠀⠀⠀⠒⠒⠐⣫⡁⢀⠇⠀ ⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⡼⠁⢀⡞⡀⣶⣀⡖⠀⠀⠀⠉⢀⠾⡆⠀ ⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⡞⠀⢸⠁⣀⡑⠄⢻⣩⠤⠿⠀⠀⢀⡴⠋⠀⡇⠀ ⠀⠀⠙⢄⡀⠀⠀⠀⣠⠞⠁⠀⢿⠈⠛⠁⠀⠀⠀⠀⢀⣠⠖⡋⢠⠀⠀⡇⠀ ⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠈⠳⢤⠤⠤⠴⠖⠋⠉⠀⠀⡇⡜⠀⢸⠳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⠀⡆⠀⠀⠀⠀⠀⠉⠁⠀⡸⣆⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣼⣰⠁⠀⠀⠀⠀⣀⣀⣀⢀⡇⢸⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡁⣠⠖⠚⠉⠉⠉⠀⠸⡼⠀⠈⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠙⢆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡠⠖⠊⠉⠀⠀⠀⠀⠀⠉⠑⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣍⠙⣖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⡤⠖⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠓⠒⠦⠤⣀⣀⡀⠀⢸⡀⠹⠀⠈⠀⠀⠐⣿⠆⣄⡀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢚⣷⣦⣤⣄⣀⡀⠀⠀⠀⠉⠙⠛⠀⠀⢰⣦⡾⢯⠉⢧⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⣩⠏⠛⠛⣿⢷⣶⣦⣤⣄⣀⠀⠈⠱⡇⠹⠂⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠯⢄⣀⣀⡴⠁⠀⢀⡼⠁⠀⠀⡼⠉⠙⠛⣿⠿⢶⣷⣦⣤⣄⣀⡀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠉⠓⠒⠦⠭⣍⣓⡒⠾⠤⣀⣀⡞⠁⠀⠀⡴⠁⠀⠀⡼⠉⠉⠙⣻⠉⠙⠚⠓⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠤⢄⣀⡀⠀⠀⠉⠉⠐⠒⠺⠭⢍⣐⡚⠢⠤⢤⣜⡀⠀⢀⡼⡹⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠒⠦⢤⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠤⠤⣀⣀⠀⠀⠀⠉⠉⠑⠒⠦⠭⣭⠏⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠒⠤⢄⣀⡀⠀⢸⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠊⠁⠙⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠀⢠⡀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠎⠀⠀⠀⠀⠸⠓⠶⣄⠀⠀⠀⠀⠀⠀⠉⠉⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠊⠙⠛⣘⠆⢤⡖⠚⠳⢄⠀⠀⠀⠀⠐⡟⠀⠀⠀⠀⢠⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠋⠀⠸⠇⠀⠀⠀⣳⠴⠖⣲⣲⠟⠀⠀⢀⡀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠉⠀⠀⠀⠉⣬⠓⣒⠚⠉⠑⢄⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠉⠀⠘⠂⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣀⣤⣚⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣁⣀⣀⣀⣀⣀⣀⣀⡎⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠛⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠉⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠘⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⢦⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣾⠉⠻⣦⢤⣤⣤⣤⣤⣤⣤⠶⠤⠶⠾⠇⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⠁⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⢠⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⢿⡿⠀⠀⠀⠀⠀⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠸⠟⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣠⠇⢠⡄⠀⠀⢷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⡴⢂⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠴⠶⠒⠛⠻⠷⣶⡄⠀⠀⠀⠚⠁⠴⠛⠁⠀⠀⠘⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠙⠷⣤⣤⣤⣤⣤⠴⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⣠⠖⠳⠶⣦⣀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⡀⠀⠀⠀⠀⣀⣤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⣿⠀⠀⠀⠀⠙⢷⣄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠹⣆⠀⠀⠀⠀⠀⠙⢧⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠹⣦⠀⠀⠀⠀⠀⠈⠻⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏ ⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀ ⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠳⠶⠦⣶⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣀⣴⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣲⣤⣤⣷⣶⣽⣿⣼⣿⣿⣾⣧⣄⣤⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣴⠞⠋⠉⠛⣻⠆⠀⣾⠹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠉⠹⠓⠀⠀⠀⠘⢯⣄⢀⡇⠀⢻⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠸⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠼⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⢼⠏⠁⠀⠀⠀⠀⣴⣶⣰⠀⠀⠀⠀⠀⠀⠀⣴⣖⣠⠀⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠸⣄⠀⠀⠀⠀⠀⠻⠿⠟⠀⠀⣀⣀⣀⡀⠀⠻⠿⠟⠀⣿⣿⣿⣿⣦⠀⠀ ⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠭⠝⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⣀⣠⡴⠶⠦⣤⠀⢀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⢸⣁⣀⣤⠶⠶⠃⠀⠀⠀⠀⠹⠶⣯⡀⠀⠀⠀⢸⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀⣀⣀⣿⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠢⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠗⢋⠁⠈⠉⠉⠒⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢁⠔⡍⡀⠠⡄⠀⠀⠬⠧⢤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢎⣯⣄⢠⡀⣷⢙⢠⠈⣈⠉⡘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡿⡋⣤⠳⣷⣼⡸⣀⠥⠺⠁⠀⣀⠀⠀ ⠐⠠⢀⠀⠀⠀⠀⠀⠀⠈⠿⡄⠠⠤⠀⣏⠿⣿⣗⡽⠃⠀⠐⠁⠃⠀ ⠀⠀⠀⠈⠂⠄⡀⠀⠀⠀⢀⣮⠖⠀⠲⡊⠐⡛⠉⣿⣄⡀⠀⠳⡈⢂ ⠀⠀⠀⠀⠀⠀⠀⠁⢢⣲⢶⢧⡤⠎⠁⢁⣀⠝⢿⠑⡿⠶⡵⣦⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠠⢀⢀⡀⠀⠀⠔⢳⡀⠀⠈⣞⡊⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢗⣜⣵⣞⠁⢈⣗⠦⣈⡵⢁⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠄⡀⠈⣖⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠣⢇⡀
⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠈⢫⡷⠦⡀⠀⠀⠀⠀⠀⠀⢸⡅⠙⢦⡀⠀⠀⠀⠀⡇⢹⡄⠀⠀⠀⠀⠀ ⠀⠘⡆⢀⣈⣳⣄⠀⠀⠀⠀⠀⢷⠀⠀⣉⣳⣤⡤⠤⠇⠈⢿⣄⠀⠀⠀⠀ ⠀⠀⠘⢯⡤⢿⣾⣷⡀⠀⠀⠀⣨⠗⠋⠁⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀ ⠀⠀⠀⠈⠻⣄⠙⣷⡝⢦⣠⠚⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀ ⠀⠀⠀⠀⠀⠈⢧⡈⣿⣆⠻⣄⠀⠀⠞⡴⠃⢀⡇⢀⡀⠀⠀⠀⠀⠀⠘⣆ ⠀⠀⠀⠀⠀⠀⠀⠹⣏⠘⣆⠘⢦⡀⠀⠷⠷⠞⠀⠈⠁⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣬⠆⠀⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠈⢹⠖⣧⡘⢦⢀⡴⠋⠀⠀⠀⠀⣀⣠⡤⠞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠤⢴⠋⠳⣌⢺⣰⠋⠀⢀⠀⠀⠀⠀⢿⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠘⢮⡉⠒⠊⠱⣄⠀⠀⠀⠈⢿⡹⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠳⣄⠀⠀⠈⢣⡀⠀⠀⣞⣠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠈⢣⡀⠀⠀⠙⢦⠊⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢷⡲⢤⡀⢹⣄⠀⠀⠈⣳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠉⠈⠳⣤⠴⡫⠙⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣜⣕⣜⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠓⡄⠀⢀⣤⢤⡼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣰⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡋⠀⠀⠀⠀⠀⠀
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠔⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⢠⠀⠀⠀⠉⠂⢄⡀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠶⡃⠀⠤⢌⠈⠓⠀⠤⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠁⠒⠀⡀⠇⠒⡶⣋⣀⢄⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠘⠑⠄⠀⠑⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀ ⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⡖⠒⠠⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣾⠝⠋⠁⠀⡇⡇⢀⠀⠈⠓⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣽⣷⠀⠀⠀⠀⠳⠧⣄⡄⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡌⠀⠀⠸⡤⣤⠆⠀⢾⣿⠃⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⣀⡢⢀⣤⣎⢉⠟⡱⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⢀⡐⢁⡾⠞⠒⠃⠀⠈⠉⠒⠤⣀⢒⡤⠔⠒⠲⡅⠀⠀⢀⡆ ⠀⠀⠀⠀⠀⢰⣻⡞⠏⠀⠀⣄⠀⠀⠀⠀⠰⡂⣟⡥⣀⣀⢤⠖⣡⠀⠀⡜⠀ ⠈⠓⠢⢤⣀⠈⡤⠀⠀⠀⣀⠁⠑⠳⠂⠀⣠⠠⢾⢛⡁⠀⡆⠀⢸⢠⢰⠁⠀ ⠀⠀⠀⠀⢐⠁⠀⠀⠂⠂⠀⠈⣱⠤⠤⠤⠄⠨⣘⠀⠀⠀⠸⡀⢸⡜⢆⠀⠀ ⠀⠀⠀⠀⠇⠬⠁⠀⣀⡀⡨⠕⠐⠄⣀⣀⠒⠀⠀⠈⡂⠀⠀⢇⡈⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡆⠀⠀⠀⢸⠀⠀⣏⡉⠀⠂⠠⡉⠝⠹⠉⠒⠦⢼⣸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠧⢄⣀⣀⢸⣀⠤⠇⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠉⠓⠦⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠋⠒⠠⠤⡆⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠞⠉⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⢠⣱⡄⠉⠙⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠚⠁⠀⠀⠀⠀⢾⣿⣷⠃⣰⡤⠄⣀⣨⣽⠶⢤⣀⡤⠴⣦⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⢀⡈⠉⠐⠖⠸⢿⣿⣤⡤⠄⠀⠀⠀⠀⡟⠀ ⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣦⣄⠢⠄⠈⠛⠀⠉⠉⠁⠀⠀⢸⠁⠀ ⢠⡀⠀⢀⣀⡤⠴⢤⣄⣀⡀⢙⠄⣈⣹⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀ ⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠦⢤⡔⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⣀⡠⠤⠶⢦⣀⣀⣡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⢀⣄⡤⠀⠀⠀⠀⠀⢔⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀ ⠀⠒⠚⠛⣋⣽⣯⣷⣶⣤⠄⠀⠀⠀⠀⠀⠡⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠤⣤⣤⣴⣮⣽⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⣀⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠈⠙⠾⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣞⣽⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣏⠻⢷⡆⠀⠀⠀⠀⣠⣾⣿⣿⠒⠀⠀⠀⠀⠠⡴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢙⣷⡮⠀⠀⠀⠀⠹⠛⠛⠋⠁⠀⠀⠀⠀⠀⠼⢴⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠱⠤⡀⠀⠀⠀⠀⠀⡀⠀⢀⠀⢀⠠⠐⠑⡳⠃⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠛⠛⠳⠿⠶⠭⢴⣶⢴⣆⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠈⠉⠉⠑⠒⠦⣄⡀⣠⢴⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⠑⠒⠤⢄⣀⡀⠀⢘⠁⠈⣣⠠⢄⠀⠀⠀⠀⠀⣀⣀⠀⠠⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠒⠤⠬⣄⣈⡉⠓⠒⠀⠛⡇⠀⢱⡀⠈⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠷⠤⣀⣁⡀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠢⠤⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙
⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣈⠵⠂⠹⠏⠀⠛⢄⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⡔⠃⠤⠦⠆⠛⡌⣆⠀⠀⠀⠀⠀ ⠀⢀⠴⠊⢁⣣⣀⡀⠀⠀⠀⢀⡠⣇⡉⠒⢤⡀⠀ ⢀⠎⢀⡴⠋⢠⠀⡉⠉⠉⠉⠁⠀⣄⠉⠢⡀⠱⠀ ⢸⠀⢘⠀⠀⣼⢻⣷⣼⢰⣿⢸⡧⠹⠀⠀⢸⠀⡃ ⠘⣄⠘⠦⣄⡀⠀⠀⠀⢼⡽⠀⠀⢀⡀⠤⠋⣠⠃ ⠀⠈⠓⠤⣀⠈⠉⠒⠒⠒⠒⠊⣩⠽⠷⠤⠒⠁⠀ ⠀⠀⠀⠀⠀⠉⠉⠁⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⡤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡸⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠤⠐⠉⠀⠀⠀⠀⠀⠀⠑⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣦⠀⢱⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠤⡀⠀⠀⠀⢠⣶⡄⠀⠀⠀⠀⠁⠀⢸⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡀⠀⠀⠀⠉⠄⠀⠐⠋⠁⠀⣠⣂⠰⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠻⢮⣄⣀⣀⣀⠀⠀⣀⠤⠊⠁⠀⠀⠀⠈⠐⠠⠤⢀⡀⠀⠀ ⠀⡐⠡⠀⠀⠀⠀⠈⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠈⡗⠀ ⠀⠀⠈⢑⠀⠀⠀⢀⢰⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⣢⢾⠀⠀ ⠀⣆⠐⠀⠀⠀⠀⠀⠀⠀⢠⣷⡆⠀⠀⠀⠀⢀⣀⠀⠀⠀⡏⠁⠘⡀⠀ ⠀⡟⠢⡀⢀⠔⠉⠉⢺⡄⠂⠁⠀⠀⠀⠀⠀⠰⡿⠀⠀⢠⠁⠀⠰⠑⡀ ⠀⠱⡀⠀⠀⠀⠀⠀⠀⡏⠢⣀⠀⠁⠒⠀⠀⠀⣁⣀⣠⠗⠒⠲⡁⠀⡇ ⠀⠀⠈⠂⠄⢀⡀⠠⠊⠑⠤⠀⠏⠉⠀⠀⠐⣏⣀⡀⡇⠀⠀⠀⠁⡠⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⢀⣴⠂⠵⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⢄⣠⠊⠁⠀⠀⠀⠀⠀⠁⠢⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠣⠊⠋⢀⣤⠀⡀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀ ⠀⡧⠀⠀⠀⠀⠀⠈⠓⠃⢰⣦⢏⢕⡆⠀⡇⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠌⠉⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡜⡸⠁⠀⠀⠀⠀⠀ ⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡪⠊⣴⠣⠄⠤⢊⣭⣉⡆ ⠀⠀⠈⡇⠒⠠⢤⠤⠀⣀⣀⡀⠤⠒⢻⠈⠓⠒⠒⠋⠀⠀⠀ ⠀⠀⠀⠧⠠⠴⠃⠀⠀⠀⠀⠑⠂⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡟⠿⠷⣶⣶⣶⡄⠀⠀⢀⣾⠋⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣦⣄⣾⡿⠁⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⣾⡟⠀⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡟⠉⠈⠿⠻⠇⠀⠀⠀⠀⠀⠐⢿⣧⣄⡀⠀⣿⡇⠀⠘⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣶⣿⠁⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣤⣾⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣤⣾⠟⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣀⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣇⣈⣦⠀⢸⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠁⠀⠀⠀⢠⣤⣤⣤⣤⣴⠀⠀⠀⠈⠛⠛⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠥⠤⠽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡶⠿⠛⠛⠛⠻⣷⣆⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⢀⣠⣤⣶⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠈⣿⣤⣿⣱⠄⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠻⠷⡶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣷⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⣄⣀⣤⣸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢻⣿⣿⣿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣷⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠁⠘⠂⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠤⠀⣀⠀⠀⠀⠀⡜⡍⢂⠁⢀⡀⠀⠀⠀⠀⠀⠈⠢⠊⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠐⠒⣳⣤⣀⣀⠈⠉⠒⠆⠀⣤⡶⠐⡄⢠⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠊⠀⡠⠋⢩⠟⠛⡶⠶⢤⣤⣆⡁⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡁⠚⠉⠵⢖⣃⠤⠎⣀⡠⠃⢀⠍⠉⡹⠁⠚⠂⠠⠄⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠐⠂⠤⠀⣀⠉⠀⠒⠩⠭⢒⣖⠏⠀⠀⠀⠀⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⠒⠠⠤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡰⠁⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⠤⠤⢀⡠⠖⢉⠀⢠⣤⡀⢀⠀⠑⢢⠐⡶⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢡⠀⠀⠀⣠⡴⠋⣿⡔⠒⠪⡲⡑⡀⠀⡷⢡⡞⠑⠄⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⠇⠀⠀⢉⠀⢩⡷⣴⠾⠯⠇⠈⠚⠀⢁⣟⢬⠢⡖⡊⠀⠄⠀⠀⠀⠀⠀ ⠘⡀⠀⠀⠘⡤⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠚⠐⠛⣁⠀⣀⠴⢤⡆⠀⡀ ⢰⠮⠶⠀⠐⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣀⠀⠈⠋⣱⣜⡋⠀⠄⠁ ⠘⢒⠒⢖⢖⠞⠂⠀⡀⠀⠀⠀⠀⠀⠀⠠⢊⢀⠎⠂⣢⣉⢀⣃⣉⣱⠀⠀ ⠀⠀⠢⡈⡲⠃⣠⠚⢄⠀⠀⠀⠀⠀⠈⠀⠉⢳⠚⠞⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⠀⠁⠀⠀⠉⠒⠠⠤⠤⠤⠤⠒⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⣀⣠⠔⠚⠉⠀⠀⠙⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣌⠡⠀⣀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⣀⡤⢴⡀⠀ ⣀⣀⡠⡖⠁⠀⠀⠀⠀⡸⠁⠀⢰⡆⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀ ⢀⠊⠑⣦⢀⣀⡀⢔⣾⣀⡀⠀⠀⠀⠈⠉⠓⠂⠀⢠⣄⠀⠀⠀⢀⡀⠀⡎⠀⠀ ⠻⠠⢀⠈⣶⠒⠒⠉⠀⠀⠈⠉⠑⠒⠲⠤⠤⣀⣀⠀⠀⣀⡤⠞⠁⠀⠀⠙⡄⠀ ⢃⠀⠰⢃⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡩⠋⠁⠀⢰⠀⠀⠀⡀⠸⡀ ⢸⡀⢑⡒⢚⡿⠃⠀⠀⢀⠤⠶⠭⠦⠤⢐⣈⠉⠉⠑⣒⠆⠒⠁⠳⠤⣄⣠⠞⠓ ⠀⠳⢧⣖⡾⠀⠀⠀⠀⢼⡒⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢄⣠⣊⡤⠞⠉⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠳⣄⣠⠤⠖⠒⠒⠒⠒⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⢀⡶⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠈⠳⡄⠀⠀⠀⢠⡎⠀⠀⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠘⠗⠒⠛⠃⠀⠀⠀⠀⠹⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢰⣟⣿⠀⠀⢠⣤⣤⣤⠀⠸⣯⡷⠀⠙⢶⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⢰⠀⡆⠀⠀⠀⣿⣄⣀⣸⡇⠀⡆⢰⠀⠀⣸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠛⣀⠀ ⠀⠀⠀⠀⢠⡴⠋⠉⠉⠓⠶⠤⢤⡤⠀⠀⠀⠀⢤⣤⠤⠶⠶⠞⠉⠉⠀⠈⣗ ⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏ ⠀⠀⠀⠀⠈⠛⠳⠶⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⠖⠒⠚⠛⠓⢤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⢠⠎⠁⣀⡴⠚⠋⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠻⡤⠴⠁⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠇⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠦⠖⠛⠀⠀⠛⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⡄⠈⡓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠂⢹ ⠈⡷⡄⠈⠲⢤⣈⠻⠉⠛⠉⠉⠁⠒⠖⠉⠉⠉⠒⠶⢦⣤⠴⠒⢉⣡⢴⠀⠀⠀ ⠀⢸⡿⡂⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡞⠉⠀⢀⣠⡞⠀ ⠀⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢠⡼⡟⠀⠀ ⠀⠀⡼⠋⠀⣤⣀⠀⠀⠀⠀⠀⠈⠐⣂⣄⠀⠀⠀⠀⠀⠀⠀⢀⠀⣰⡟⠁⠀⠀ ⠀⢠⡇⠀⠀⠘⠛⠃⠀⠀⠀⠀⠾⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⢸⡇⢺⡀⠀⢠⡒⠠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠸⡇⠀⠀⠀ ⠀⢸⡇⣘⠑⡀⠀⠙⢏⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⣔⣇⠀⠀⠀ ⠀⢸⡇⡁⠀⢳⣶⣾⣷⣦⣄⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠸⡇⠁⠀⠀⢏⠉⠀⠀⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡏⠀⠀⠀ ⠀⠀⠯⣀⣈⣀⣈⣐⣲⣄⣄⣤⣴⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣛⡧⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⣾⡿⠛⣻⣧⣴⢾⠛⣯⡉⣙⠉⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠇⣀⣼⣿⣷⣄⠈⣼⣿⠀⢈⣿⣷⣾⣄⠀⠰⣢⣈⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⣻⡿⠛⡇⣠⠟⢹⡏⢿⣿⡆⢿⣿⢂⣿⠟⠻⣿⣦⠀⡼⡁⠀⠀⠀⠈⠐⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣷⣨⢭⢇⡸⠊⢠⣼⣿⠓⠀⠈⣿⢸⣿⣻⡇⠀⠀⢹⣿⣿⠉⠀⠀⠀⠀⠀⢀⠈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⢎⣸⠏⣁⣨⣾⣧⡀⠈⣿⣿⠀⠀⢀⣿⣿⣿⡻⣏⡀⠀⠈⣿⠇⠀⠀⠛⠳⢦⡀⠀⠀⠀⠻⢆⠀⠀⠀ ⠀⠀⢠⣯⡆⠉⡘⠐⣇⣘⣲⣃⠀⠈⠛⠀⠀⣺⣿⣿⣿⣿⣋⣵⠀⠀⠀⣠⣴⣶⣶⣶⣤⡂⠀⠀⠀⠛⢾⣆⠀⠀ ⠀⢀⡿⠃⠀⣠⠀⣴⣿⣿⣿⣿⣿⣷⣄⠀⠀⢹⣿⣽⣿⡿⣿⡿⠀⠀⣼⢿⣿⣿⣿⣏⠻⣿⣶⣦⣄⠀⡀⠙⡆⠀ ⠀⡼⢀⣀⣴⣯⠾⣿⠋⣿⣿⣿⣿⡏⢻⣧⠀⠀⠉⠃⣿⠛⠁⠀⠀⢴⣿⠸⣿⣿⣿⣿⠀⢸⡇⠀⠉⠙⢻⣆⢸⠀ ⠀⣇⣿⠟⠁⠀⠀⢿⣆⠻⣿⣿⡿⠃⣸⣿⣤⠄⠀⡐⠁⠀⠀⠀⠐⢾⣿⠦⣈⣛⣛⣁⡴⠟⠀⠀⠀⠀⠈⢿⡈⡇ ⢸⣿⡏⣄⠀⣀⢀⣌⣙⣲⠺⣿⡖⣊⣽⣿⣿⠟⣫⠀⣀⣀⣀⡆⠙⢮⣻⡕⠢⣤⣤⡀⠐⠂⠤⣤⣤⠀⣂⣘⣷⡇ ⢸⣿⣇⣾⣿⡛⣿⣿⢛⣿⣿⣿⠿⠋⠛⠋⠀⢴⣿⣿⣟⣿⣿⣿⡶⠀⠈⠀⡀⠀⠘⢿⢦⣄⡀⢀⣹⠞⠛⣿⠻⡇ ⠀⣿⣿⡛⢻⣿⣥⣤⣿⣽⣿⠷⢽⣆⣀⠀⠀⠀⠉⠻⣿⣿⠟⠁⠀⠀⠀⠰⠾⣿⣤⡀⠲⣜⣻⣿⣥⣤⣀⠹⢙⡇ ⠀⢹⣿⣥⣶⣿⣿⣿⣿⣷⣌⡽⠟⢋⣡⡴⠒⠀⠀⠀⣻⣿⠀⠀⠀⢈⡙⠛⠶⠤⣌⣹⡤⠏⢉⣉⠙⣿⣿⣭⡿⠀ ⠀⠀⢷⣿⣿⡿⢥⣤⡼⠟⣻⡤⠞⢋⣡⡴⠒⢁⡀⢰⣿⣿⣷⣄⠀⢄⣈⠛⠒⢦⣄⡉⠙⠲⢼⡿⣅⣀⠈⣻⠃⠀ ⠀⠀⠘⣿⣿⠾⠿⠟⣋⠴⣯⣤⠾⢋⣁⣴⠞⠁⣰⣿⣿⣿⣿⣿⣧⡀⢩⣻⣶⢦⣬⡙⢶⣤⣰⣯⣿⣿⣿⠏⠀⠀ ⠀⠀⠀⠈⢧⣤⣾⣿⠷⣫⠟⣡⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⣟⢮⣈⣽⠿⢿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⡥⠚⢁⡴⠁⣹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠉⠀⠈⠳⣿⣿⣿⡞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣾⡿⣶⣿⡃⠀⠀⠛⣿⣿⣷⣽⣿⣿⣿⣿⣷⣿⣿⡿⠁⠀⠀⣴⣷⣽⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⡀⠆⣀⣀⠘⠿⣿⢟⡟⡻⣟⣻⣍⣿⠟⠁⣀⣴⣾⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢧⣴⣤⣾⣿⣷⣻⣿⣿⣦⠤⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡼⡟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⢱⢸⠸⣆⡠⠤⠤⢀⣀⠀⠀⠀⢀⡤⠖⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠉⠳⢖⣡⠊⣇⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠏⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⡌⠀⠀⠀⠈⠳⠿⠽⡆⠀⢀⣴⣶⣶⣦⠀⠀⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⣭⢤⣚⠀⠉⠉⠁⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⢀⡇⠀⠀⠀⠀⠀⠸⣞⣂⢘⡖⢉⠀⢢⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⣬⣉⢉⡛⠛⠋⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀ ⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀ ⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀ ⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⠖⠔⣡⠊⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⡆⠀⠀⠀⣠⠟⠀⠀⠀⣸⠃⠀⢰⢹⠀⠀⠀⢸⡟⢹⡆ ⣸⠀⠀⠀⠀⠀⡇⢀⡠⠞⠁⠀⠀⣠⠞⠁⠀⣠⠎⠸⣄⠀⠀⢸⡇⣸⠁ ⢹⠀⠀⠀⢀⡴⠟⠉⠀⠀⠀⢀⠞⠁⠀⠀⠠⡇⠀⠀⢸⠂⠀⢸⣧⡇⠀ ⢸⡄⠀⠀⠈⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⡇⠀⠀⣿⠀⠀⢸⡿⠀⠀ ⢸⢿⣄⠀⠀⠀⢀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢻⡄⠀⣼⡇⠀⠀ ⠈⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠁⠀⠀⠀⠀⠀

Warning: This item may contain sensitive themes such as nudity.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢲⡤⠤⣀⡨⢽⠯⠔⠦⣷⢶⡀⠀⠀⢀⣀⣤⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠄⢈⣴⡿⠷⠂⠀⠀⠑⠙⢮⡉⠁⡐⠁⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣸⠑⠁⠈⠀⠀⠀⠀⠀⠀⠀⠑⣸⠏⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣇⣄⡀⠀⠀⠀⠀⣤⠶⣤⡀⠀⠸⣀⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⢧⣹⡄⠀⠀⢸⣧⣤⣿⣿⡄⠀⢏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠘⣍⠇⠀⠀⠀⠻⡙⠛⢡⠃⠀⢸⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡟⠀⢀⠉⠀⠸⠅⠀⠀⠀⠉⠁⢀⣀⢸⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢛⣽⡗⠒⠀⠀⠀⠀⠒⠉⠙⣿⡝⠙⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣇⡀⠀⠀⠀⠀⠀⠀⠀⡿⣿⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠙⠳⢄⠀⠀⠀⠀⠀⠀⣽⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⠄⠀⠈⠢⡀⠀⢀⡰⠃⡇⠀⠀⠀ ⠀⠀⢀⣦⡷⢧⠇⠀⠀⠀⠀⠹⡧⠀⠀⠀⢀⠠⠔⢋⠇⣸⠁⠀⠀⠀ ⠀⣠⢟⠋⠀⢸⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢸⢀⠠⠋⢰⠃⠀⠀⠀⠀ ⠠⡿⠁⠀⠀⠈⠒⠤⢤⣤⠀⢀⠇⠱⡀⠀⠈⣿⡀⠀⡗⣲⡀⠀⠀⠀ ⢰⣅⠀⠀⠀⠀⠀⠀⠀⠉⠙⠯⣍⣩⢿⢦⣔⣞⡷⠀⠿⠟⠁⠀⠀⠀ ⠈⠻⠷⣄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠚⠾⠲⠦⠤⠤⢤⠽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠋⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀ ⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠤⣤⠞⠋⠁⠀⠀⢳⡀ ⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⡾⠁⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⣸⠁⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠸⡆ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠘⢧⠀⠀⠀⠀⠀⣀⣀⠀⠖⠚⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟ ⠀⠈⠳⢤⣀⣠⠞⠉⢨⣇⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁ ⠀⠀⠀⠀⠉⡟⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀ ⠀⠀⠀⠀⠀⠻⣄⡀⠀⣀⡼⠉⠛⠓⠒⠶⠶⠶⠶⠒⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⡅⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⢢⡈⢐⣤⣤⣶⣶⣶⣶⣶⣿⣽⣙⣤⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠒⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡒⠁⠀⠀ ⠀⢐⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡦⡀⠀⠀ ⠠⠋⣼⣿⣿⣿⡿⣟⣧⢬⣿⣹⠟⠋⣷⣆⠈⣿⣿⣿⡟⠂⠀⠀ ⠀⠀⢿⢻⣿⠁⠼⠋⣼⣿⡎⠀⠀⠀⠯⠽⠀⢹⣿⡟⠓⠀⠀⠀ ⠀⠀⠀⢸⢹⣇⠐⠂⠙⠴⠃⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡿⣆⠀⠀⠀⠀⠀⣀⠀⠀⠀⣠⣾⠤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡿⣿⣶⣦⣤⡤⠀⠀⢶⡿⠿⠓⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢙⣻⡋⠁⠀⠀⡀⠽⠓⠒⠠⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠂⠁⠉⠙⠁⠀⠈⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀ ⠀⠀⠀⠀⠀⠰⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡇⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⢰⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡾⡆⠀ ⠀⠀⠀⠀⡌⠀⠀⢸⠁⠀⠀⠀⠀⠀⢀⠞⠀⠸⡀⣀⠠⢔⠁⠀ ⠀⠀⠀⠀⢢⠄⠔⢻⠀⠀⠀⠀⣠⠖⠀⠀⠀⠈⡏⠀⠀⠸⡀⠀ ⠀⠀⠀⠀⠈⠀⠀⡆⠀⠀⠀⠜⠁⠀⠀⠀⠀⠀⢱⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⢨⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⢘⡀
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!
AI Story Generator - AI Chat