Professor Oak Original Pixel Art Emojis & Text

⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠯⠙⠛⠛⠉⠛⠛⠛⠲⠤⠤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢲⣖⠤⠀⣄⣀⠤⠀⠀⠀⠀⠀⠀⠓⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⢮⣀⣯⠉⠉⠹⢦⡼⠉⠉⠹⢇⠲⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⢷⣥⣄⣦⢠⡄⡀⣠⣤⣾⠾⡃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⡆⢹⣍⣿⠈⠙⣿⣉⠏⢹⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⡇⢀⣛⣃⣀⠀⡄⢀⡸⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣵⣶⣿⠉⠉⣷⣿⣮⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣦⣟⠋⠀⣤⣿⣿⣉⣉⡠⠇⠈⣦⢄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⣯⣥⡉⢓⢢⡞⠛⢩⣬⣭⣥⣦⣤⠿⠀⠀⢴⠀⠀⠀ ⠀⠀⢀⠟⢹⣿⠿⡿⠏⢉⣿⣿⣯⡗⣿⡏⠉⠶⡀⢀⠰⡇⠀⠀ ⠀⢠⡼⠤⠼⣿⠦⠃⠘⠛⠛⣻⣿⣿⣽⡇⠀⠶⠀⢸⠀⠓⡄⠀ ⠠⡜⠁⠀⠀⢹⣄⠀⠀⠐⣶⣿⣿⡿⣿⡇⠰⠀⠀⢸⠀⠀⡇⠀ ⠘⢇⡀⠀⠀⠈⣿⣿⣶⣶⠉⠉⠁⠀⣷⠸⠁⠀⠀⢸⠀⠀⢱⡆ ⠀⠀⠙⠛⡟⠛⠷⠟⢻⣧⣤⣀⣠⣤⡟⠀⠀⠀⠀⢸⡁⢠⡜⠃ ⠀⠀⠀⡀⢃⣀⠀⠀⢸⣿⣿⣉⣹⣿⣧⡀⠀⣀⠒⠚⣦⠏⠁⠀ ⠀⠀⠀⡿⠀⠀⣿⠀⢸⣿⣾⣿⢧⣻⣼⡇⠀⣿⠀⠀⣽⠀⠀⠀ ⠀⠀⠀⣟⠀⠀⣿⠀⢸⣯⢿⡟⢻⡷⣾⡇⠀⣿⠀⠀⢾⠀⠀⠀ ⠀⠀⠀⣿⠱⠤⠿⠀⣸⣿⠿⡇⢸⣷⣻⡇⠀⠿⠤⠌⣿⠀⠀⠀ ⠀⠀⠀⠀⢳⣦⣤⣼⣿⠁⣴⠃⠘⣷⣿⣧⣤⣤⣴⡞⠉⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣽⣏⡁⠀⣿⠀⠀⣿⡷⠿⣍⣉⣹⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡿⠿⢿⡿⠿⣿⠇⠠⣟⣻⣿⡿⠿⢿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣏⣡⣤⣜⣣⣤⠛⠀⠀⠛⣿⣋⣡⣤⠘⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀

⠀⠀⠀⣀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀⠀⠀⠀ ⠀⣠⣾⡿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠻⣿⣷⡀⠀ ⢰⣿⡏⠀⠀⠀⣶⣶⣆⠀⠀⣶⣶⠀⢰⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄ ⣿⣿⠀⠀⠀⠀⣿⣿⢿⣧⡀⣿⣿⠀⢰⣶⡆⢰⣶⣦⠴⢶⣦⡄⠛⣿⣿⠛⢀⣤⡖⠒⣶⣄⠀⣴⣶⡦⠶⣶⣦⡀⢀⣴⡶⠶⣿⣿⠀⢠⣴⡖⠒⣦⡄⠀⠀⠸⣿⡇ ⣿⣿⠀⠀⠀⠀⣿⣿⠀⢻⣿⣿⣿⠀⢸⣿⡇⢸⣿⡏⠀⠈⣿⣿⠀⣿⣿⠀⢾⣿⡟⠛⠛⠛⠂⣿⣿⡇⠀⢸⣿⡇⢸⣿⡇⠀⣿⣿⠀⣿⣿⠀⠀⣿⣿⠀⠀⢠⣿⡇ ⠸⣿⣇⠀⠀⠀⠿⠿⠀⠀⠹⠿⠿⠀⠸⠿⠇⠸⠿⠇⠀⠠⠿⠿⠀⠿⠿⠀⠈⠻⠧⠤⠿⠟⠀⠿⠿⠇⠀⠸⠿⠇⠘⠿⣧⡤⠿⠿⠀⠘⠿⠧⠴⠿⠋⠀⢀⣾⣿⠃ ⠀⠙⢿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⡿⠁⠀ ⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜🟥🟥⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥⬜🟥⬜⬜🟥⬜🟥🟥⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥🟥🟥⬜🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬛⬛⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥🟥⬛⬜⬜⬜⬜ ⬛⬜⬜⬛⬛⬜⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥⬛⬜⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥⬛🟥⬛⬜⬜⬜ ⬜⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜🏻🏻⬜⬜⬛⬛🟫⬛⬛⬜⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛🏻🏻⬛⬜⬜🏻🟫🏻🏻⬛⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛🏻🏻⬛⬜⬜🏻⬛🏻🏻⬛⬜⬜ ⬛⬜⬜⬜🟦⬛⬛⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🏻⬛⬜⬜ ⬜⬛⬛🟦🟦🟦🟦⬛🏻🏻⬛🏻🏻🏻🏻⬛🏻🏻🏻⬛🏻⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛🟥⬛⬛⬛⬛🏻🏻⬛⬛⬛⬛🏻⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛🏻⬛⬛⬛⬛🏻🏻⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛🏻🏻🏻🏻⬛⬛🟥🟥⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟦🟦⬛⬛⬛⬛🟥🟦⬛🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟦🟦🟦🟦🟥🟥🟥🟥🟦⬛🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟨🟨🟦🟥🟥🟦🟨🟨⬛🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟨🟨🟦🟦🟦🟦🟨🟨⬛🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦⬛⬛⬛⬛🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬜ ⬜⬜⬛⬛🏻🏻🟫🟫🟧🟧🟫⬛⬜⬜⬛🟫🟧🟧🟫🟫🏻🏻⬛⬛ ⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜

⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤ ⠘⣿⣿⣿⣷⣦⣄⣀⠀⢠⠔⠀⢀⡼⠿⠿⢆⠀⠀⠲⣄⠀⣀⣠⣴⣾⣿⣿⣿⠇ ⠀⠈⠉⠉⠛⠛⠻⠿⢿⣿⠀⢀⣾⣷⡀⢀⣾⣷⡀⠀⣿⡿⠿⠿⠛⠛⠉⠉⠁⠀ ⠀⠀⣤⣤⣶⣶⣶⣶⣶⣿⣆⠈⠉⠉⠉⠉⠉⠉⠉⢠⣿⣶⣶⣶⣶⣶⣤⣤⠀⠀ ⠀⠀⠘⣿⡿⠟⠛⠉⣡⣿⣿⣷⣤⠀⢠⣆⠀⣤⣶⣿⣿⣬⡉⠛⠻⠿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⡿⢋⣿⣿⠛⢠⣿⣿⡄⠛⢿⣿⡘⢿⣿⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⠏⠀⣸⣿⡇⢀⠻⣿⣿⠟⣀⠸⣿⣇⠀⠙⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⡟⠁⣿⣿⠀⠻⣆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⠉⠙⠓⠀⠘⠏⠀⠘⠟⠉⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟨🟨🟨🟨🟨🟨🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟨🟨🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟨🟨⬜⬜⬜⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜🟨🟨⬜⬜⬜ ⬜🟨🟨🟨🟨🟨🟨⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦🟦⬜⬜⬜🟨🟨🟨🟨🟨🟨⬜ 🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟦🟦🟦🟦🟦⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨 🟩🟨🟨🟨🟨🟨🟨🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦⬜⬜🟩🟨🟨🟨🟨🟨🟨🟦 🟩🟩🟩🟨🟨🟥🟥🟥🟥🟩🟩🟩🟦🟦🟦🟦🟦🟦⬜🟩🟩🟩🟩🟨🟨🟦🟦🟦 🟩🟩🟩🟩🟥🟥🟥🟥🟥🟩🟩🟦🟦🟨🟨🟦🟦🟦🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟥🟥🟥🟥🟥🟩🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟥🟥🟥🟥🟥🟨🟨🟨🟨🟨🟨🟨🟨🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟥🟥🟥🟥🟩🟨🟨🟨🟨🟨🟨🟦🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟥🟥🟥🟥🟩🟩🟩🟨🟨🟦🟦🟦🟦🟩🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟩🟥🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟩🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟩🟩🟩🟥🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟦🟩🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟩🟩🟩🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟦🟦🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟩🟩🟩🟥🟥🟩🟩🟩🟩🟦🟦🟦🟦🟦🟦🟦🟦🟩🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟩🟩🟩🟥🟩🟩🟩🟩🟦🟦🟦🟦🟥🟦🟦🟦🟦🟩🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟩🟩🟩🟥🟩🟩🟩🟩🟦🟦🟦🟦🟥🟥🟦🟦🟦🟦🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦🟥🟥🟥🟦🟦🟦🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜🟥🟥🟥🟦🟦🟦🟦🟦🟦 🟩🟩🟩🟩🟦🟦🟦⬜🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜🟥🟥🟦🟦🟦🟦⬜ ⬜🟩🟩🟩🟦🟦⬜⬜🟩🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜🟥🟦⬜⬜⬜ ⬜⬜⬜🟩🟦⬜⬜⬜⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟦🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛🟩🟩🟩⬛⬜⬜⬜⬜⬛🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟩⬜⬜🟩🟩🟩🟩⬜⬜🟩⬛🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬜🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬜🟩🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬛⬜🟩🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜🟩⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬜⬜⬜⬛⬜⬜🟩🟩⬛🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬜🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛⬛⬜⬛⬛⬛⬛⬜⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🟩⬛⬜⬛⬜🟧🟧🟥⬛⬜⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬛🟧🟥🟥🟥⬛⬜⬛🟩⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬛⬛⬛⬛⬜⬛⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬛⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟧⬛⬛⬛⬛⬛⬛⬜⬜⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧⬛🟧🟧⬛🟩🟩🟩⬜⬛⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟧🟧⬛⬛🟥🟥🟥🟥🟥⬛⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟫🟫🟫🟧🟧🟧🟫🟫🟧 🟫🟧🟧🟫🟧🟧🟧🟫🟫🟧🟧🟧🟧 🟫🟧🟧🟫🟫🟧🟧🟧🟧🟫🟧🟧🟧🟧 🟫🟫🟫🟧🟧🟧🟧🟫🟫🟫🟫🟫🟫 🟧🟧🟧🟧🟧🟧🟧🟧 🟫🟫🟫🟫🟥🟫🟫🟫 🟫🟫🟫🟫🟫🟥🟫🟫🟥🟫🟫🟫 🟫🟫🟫🟫🟫🟫🟥🟥🟥🟥🟫🟫🟫🟫 🟧🟧🟧🟫🟥🟥🟧🟥🟥🟧🟥🟫🟧🟧 🟧🟧🟧🟧🟥🟥🟥🟥🟥🟥🟥🟧🟧🟧 🟧🟧🟧🟥🟥🟥🟥🟥🟥🟥🟥🟥🟧🟧 🟥🟥🟥🟥 🟥🟥🟥 🟫🟫🟫🟫 🟫🟫🟫🟫 🟫🟫🟫🟫🟫 🟫🟫🟫🟫🟫

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠚⠲⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⢀⣠⣴⣾⣿⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⣠⣤⠶⠞⠛⠳⢦⣤⣰⠏⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⢀⣠⡴⠖⠛⠙⠓⠶⣤⣄ ⣿⠀⠀⠀⢀⣠⣴⣾⣿⡄⠀⠀⢠⣿⣿⣿⣿⣿⣿⣷⠟⠁⠀⠀⢀⣠⣴⣶⣿⣿ ⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⡀⢰⠿⠛⠋⠙⠻⢿⠟⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⠀⠀⠀⠀⣀⣤⣶⣾⣷⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⢸⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣆⠀⠀⠀⢻⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣿⣆⠀⠀⠀⠛⠀⠀⠀⢸⣿⣿⣿⣿⡇⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⢸⣿⣿⣆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣄⡀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣦⣀⡀⠻⣿⣿⣿⣿⣿⡿ ⠀⠈⠙⠻⠾⠟⠛⠉⠙⣧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠈⠙⠛⠿⠿⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢾⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀ ⠀⢀⣾⣿⡿⠛⠉⠉⠉⠉⠉⠉⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⢀⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⢸⣿⡿⠀⠀⣠⣶⣿⣷⣦⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⣿⣿⣿⣿⣿⡇⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠙⠿⣿⡿⠟⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⡟⠁⠀⠀⠀⠙⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣦⣀⣀⣠⣾⣿⣿⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠈⢿⣿⣷⣤⣀⣀⣀⣀⣀⣀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀ ⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠟⠉⠀⠀⠀

⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁ ⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀ ⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿ ⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿ ⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿ ⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿ ⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠀⢀⣼⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀ ⠀⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⠀⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⠀⠈⢻⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠐⣶⣾⣭⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⠀⠄⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣧⠈⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⢻⣿⣿⣿⢇⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⡄⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣧⠀⠀⠀⠀⠀⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⢰⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢷⣀⠀⠀⠀⠀⠀⠹⣦⡀⠀⢀⣀⣀⣀⣰⣶⣦⣀⣀⡀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⢀⣾⡻⠋⠀⠀⡀⣀⣄⣤⡤⣦ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠈⣷⠶⠛⠉⠉⠁⠀⠀⠈⠉⠉⠛⠿⡿⠟⠁⠀⠀⠀⠀⢀⣠⣶⡿⠋⣀⣤⠼⠗⠛⠉⠁⠀⠀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠷⢦⣀⣰⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣤⣶⣟⣣⡽⡿⠟⠋⠀⠀⠀⠀⠀⠀⢀⣾⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⡷⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣯⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣴⣿⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣴⡻⣿⣷⡀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⣿⡿⢿⣿⠃⠀⠀⠀⣀⣀⠀⠀⠀⣿⣿⣿⣿⠇⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣾⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡤⣤⡈⠉⠉⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠉⠛⠃⢀⣠⣈⣧⠀⠀⣤⣴⡶⠿⠿⠛⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠙⣦⠀⠀⠀⠳⠤⠴⠞⠛⠦⣤⠾⠃⠀⠀⣼⠋⠀⠈⣿⠀⠀⠈⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠄⠀⣰⡟⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢒⣶⣿⢻⣷⣤⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡇⠙⠳⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⠋⢸⡷⠞⠋⠀⣀⣠⣶⠞⠿⠙⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠉⠓⠭⣷⣦⣤⣤⡴⠦⣺⠛⠉⠀⠀⠀⠈⣷⠀⢶⣿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠘⣷⣀⣨⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣄⣀⣠⡟⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢀⡇⠀⠘⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣛⣿⣁⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⢸⣱⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⠻⣤⣉⠷⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⣿⠰⠠⡏⠀⠀⠀⠀⠀⠀⣰⠇⠀⢀⡴⢛⣱⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢷⡀⠈⠳⣄⠀⠹⣦⠀⠀⠀⠀⠀⠀⡟⠀⠀⣷⠀⠀⠀⠀⠀⣰⠏⠀⢀⣴⠚⠉⣸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⡀⠈⠃⣦⠘⢷⡀⠀⠀⠀⢀⣧⣤⣤⣿⠀⠀⠀⢀⣼⠃⣀⠒⠛⢀⣤⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⣦⠴⢿⢶⣿⣿⡤⢴⣶⢿⡛⠁⠙⣿⣶⣤⣤⣾⣗⢶⣯⣤⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⡇⢹⣦⡀⠀⢰⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⡉⠙⠲⠤⢤⣀⡀⡏⣷⣄⣇⠀⢻⣿⣦⢸⠈⣷⣄⠀⠀⠀⢠⣠⡤⠼⠒⠋⢉⣬⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⣷⣤⣄⣀⣿⣿⣁⣾⡿⣿⣦⣄⣾⠽⡿⣧⠾⡭⢷⡚⠉⠉⠁⢀⣀⣤⣾⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣻⣭⣉⡉⠉⠛⣿⣣⢝⣧⣄⠉⠙⢻⡷⣡⠟⣜⡯⢷⣒⣒⣲⡿⣞⢯⣹⣾⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣵⣿⣿⣷⣤⣲⠿⣜⣺⣼⣿⣧⣒⣶⠿⣥⢻⡬⢷⣫⡝⣭⡳⣹⡜⣮⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⣀⠈⢙⣯⢳⡹⣿⡉⠉⠙⢩⢿⢮⡝⣲⢣⣏⠷⡷⡟⢷⡳⢥⢿⢻⠤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⢿⡇⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢾⣿⣿⣤⡞⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⣬⣿⢏⢧⡳⣭⣿⣧⣒⣲⡿⢳⡜⣣⠗⣎⡏⢷⣩⢧⣝⣮⣛⣶⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣌⢿⢿⡇⠀⠀⠀⠀⠀⢀⣴⣴⠛⣱⣾⣿⣿⣿⣿⡏⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣏⡉⡉⠙⡿⣎⣿⣻⠉⠁⠀⢿⡧⣝⢳⣚⣥⠻⣜⡼⢣⢷⠟⡛⢛⡻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡞⠋⠁⠀⣺⣿⡀⠀⠀⠀⢰⣟⣿⠿⢋⣃⣿⣿⡟⠀⣯⡵⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣬⣿⣿⣷⣶⡷⣻⠜⡽⣻⣷⣷⣾⡽⡳⢎⡳⣜⡲⣛⡴⡹⢏⣿⢦⡑⣂⣯⠷⣘⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡁⠀⠀⣸⠀⣿⣤⠀⠀⣠⣿⡿⠁⡴⠿⢹⣿⣿⢁⣀⣀⣀⣿⣹⣧⢀⣰⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣴⣶⣿⣭⡀⠌⣹⣗⣣⡿⠗⠛⠉⢸⡷⣍⡗⣫⠵⣎⡵⢣⡳⡝⢯⡜⣏⠿⣙⣮⡹⣍⡞⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⣦⠤⠋⣶⣿⡧⠴⠾⣿⣿⠀⠒⠀⠀⣾⣻⣷⠿⣿⣿⣿⣶⣿⣿⣼⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣟⣲⣧⣿⣿⣿⣿⣿⣟⡬⢳⠿⣿⢿⣶⣿⣛⡴⢫⣕⡫⡖⣭⠳⣕⣫⣗⣾⣬⣷⣩⠖⣵⢺⣜⣿⣿⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣶⣮⣿⣼⣶⡛⠀⠀⠀⠘⣻⣿⣾⡄⢀⣴⣛⣾⡷⠀⠀⠹⣿⣿⣿⣿⣹⣯⣴⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⠛⢉⣹⣧⣏⣷⣹⡾⠋⢁⣹⣶⣩⠗⣮⡱⣝⣲⣻⣼⣿⣿⢯⡿⣽⢿⡿⣿⣿⣾⢿⡽⣯⢿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⣶⣦⣀⣩⡁⠀⣤⣼⡟⠉⠈⣻⣿⣾⠿⠿⠁⣶⣶⡌⢻⣿⣌⣻⣿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⢾⣿⣾⣿⣷⣾⣿⣿⣻⢿⡿⣷⢿⡿⣾⣻⣟⣾⣻⡿⣿⣯⣿⣽⣳⣟⣯⣿⣽⣻⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠹⠟⢣⣭⣶⣿⠒⡇⠀⣀⣟⣁⣀⣶⠤⠤⢤⣿⣡⣸⣿⡿⣿⡮⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣟⡿⣽⣻⣾⣷⣯⢿⣽⣻⢾⡽⣯⣟⣯⢿⣽⣳⣟⣾⣳⢯⡿⣽⣻⣟⡿⣿⡏⠛⠛⠻⡿⢹⣟⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣻⠀⠈⠛⠛⠹⠈⢀⣠⣶⣾⢷⡾⠁⠰⢿⣶⠀⣿⣿⡘⣷⣹⣿⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠟⠻⢟⡴⢣⠿⣿⡾⣽⢯⣟⣷⣻⣞⡿⣞⣷⣻⢾⡽⣯⣟⡷⣯⣿⣿⣿⡉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡏⠀⡀⠀⣀⣠⣾⣿⣽⣿⣷⣾⡇⢠⣴⣾⣿⢾⣿⣿⢳⣿⣿⡉⢿⣿⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣴⣞⣍⣦⣬⣷⣞⡭⣷⣿⣿⢿⣽⣻⣞⣷⣻⢾⣿⡽⣾⡽⣯⣟⡷⣯⣟⣷⣻⣿⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣦⣽⣾⣿⠿⠾⣿⣿⣿⣿⡾⣧⡬⠁⠸⣿⠇⣿⣿⣿⣿⢋⣿⠈⢩⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⢿⣻⣽⣻⢿⣾⢿⣽⣻⣞⣷⣻⢾⣽⣻⣯⣟⣷⣻⢷⣯⣟⣷⣻⣞⡷⣯⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠟⢹⡎⡱⣮⡿⠁⢉⣹⣿⣿⡂⠋⠀⠀⣻⡛⠋⢙⣿⡤⠽⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣾⣽⣻⣾⢯⣷⣻⢾⡷⣯⢿⡾⣽⣿⣟⡾⣽⣻⢾⡽⣞⣷⢯⣟⣷⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⢯⣠⢿⣐⡷⠟⠁⠀⠘⠻⠟⠻⢦⡀⢀⣠⣿⠇⠀⠀⢸⡹⠿⢏⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⠛⠛⠛⠻⢿⣽⣯⣿⣽⣾⣻⣽⣾⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⡿⠿⠛⠋⠉⠀⠉⠙⠛⠿⢿⣷⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⣶⣶⣿⣿⣶⣦⣤⣀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⡿⠿⢿⣷⣶⣤⣄⡀⠀⠀⠀ ⣴⣶⣿⠿⠟⠛⠉⠁⠀⠀⠈⠙⠛⠿⢿⣷⣶⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⣴⣾⡿⠿⠛⠉⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣶⡆ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢠⣿⣿⣿⣿⠿⠛⠻⢿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠠⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠉⠛⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠿⣿⣶⣤⣄⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣷⣶⣤⣄⣀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠉⠙⠻⢿⣷⣶⣤⣿⣿⣿⣿⠿⠟⠋⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠛⠻⠿⣿⣶⣮⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠋⠉⠀⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣤⣄⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣷⣶⣤⣀⣸⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣠⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠿⠛⠋⠉⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣦⠀⠀⠀⠀⢿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢃⣠⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⢰⣿⡿⢋⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⠻⢿⣿⣿⣿⣿⣶⣄⣿⣶⡌⢿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⡀⢠⣶⣶⡤ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠿⣿⣿⣿⣿⠀⠀⠀⠀ ⢿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡏⠀⠀⠀⠀ ⢸⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠏⠀⠀⠀⠈⠉⠀⠀⠙⢿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠛⠛⠓⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⣀⡤⠤⣄⣀⠙⠷⣄⢀⣀⣤⠴⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣠⢋⣤⡀⠀⠀⠈⠳⣤⡾⠛⡁⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⡇⠀⠹⣿⣄⣀⣤⡞⠁⣠⠞⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠶⣄⣀⣠⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⣇⠀⠀⠘⢿⡿⠋⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⣠⠟⠋⠀⠈⣷⠀⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠈⠦⣀⣠⡟⠁⢀⡼⠁⣀⣤⣾⣿⣷⡄⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⣰⠟⠀⠀⢀⡞⠁⠀⠀⣤⠞⠛⢷⡀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠀⣀⣾⡷⠛⠉⠀⠿⠁⠀⠹⣦⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠉⠳⣤⠏⠀⠀⢠⠎⠀⠀⢠⠞⠁⠀⠀⣸⠇⠀⠀ ⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⢠⡟⣴⣿⡿⠿⠿⠦⠀⠀⠀⡜⠉⢑⣌⢿⡇⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠠⠋⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⡾⠁⣿⡏⠀⣠⠔⠂⢤⡀⠀⢣⠀⡁⡟⣆⡿⠞⠛⠉⠙⠛⢦⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣫⣤⣤⣤⡀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠇⢀⣽⡇⠀⡇⠀⢰⢁⣾⣆⠈⢢⡐⣽⠏⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⢻⡀⠀⠠⣶⠀⣤⡀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⣿ ⠀⠀⢈⣇⠀⠀⠀⠀⠀⠀⣿⠴⠛⠁⠀⠀⢳⠀⠸⠈⣧⣼⡆⠀⠸⠏⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⢸⡇⠀⠀⠁⠀⠋⢠⣶⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠃ ⠀⢠⡟⠹⠀⠀⠀⠀⠀⢰⣏⠀⠀⠀⠀⠀⠀⠱⢄⠑⠌⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⢠⡞⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⠋⠉⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⡟⠷⣤⣀⠀⠀⠀⠀⠀⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⠉⠉⠉⠙⢳⡄⠀⢠⣤⣤⣄⣀⣾⣶⣶⣤⣤⣶⣾⣿⣿⡿⠀⠀⠀⠀⣰⠟⢦⣀⠀⠀⠀⠀⠀⠲⠶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣄⡀⠀⢀⣴⠞⠛⠛⠛⠶⣤⣀⠀⠀⣼⠇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠿⢿⡟⠁⠀⠀⢀⣼⠋⠀⠀⠙⠳⢦⣤⣀⣀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠲⣾⠁⠀⣠⠤⣤⣄⠈⠉⠛⠛⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⡿⠯⠤⣶⠂⢸⡇⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⣽⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠔⠋⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠿⠁⠤⠶⢶⣿⠀⢸⡇⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⣠⣾⠳⣤⡀⠀⠀⠀⠀⠈⢦⡀⠀⠀⢈⡟⠀⢸⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⠶⠶⠞⠋⠹⣆⠈⠛⢦⣄⠀⠀⠀⠀⠙⠲⠖⠊⢀⡴⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠙⢷⣄⠀⠀⠀⣀⣠⣴⡟⠁⠸⣇⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⣿⠀⠀⣴⣦⡴⠛⣷⡴⠛⠉⠁⡾⠀⠀⠀⢻⡀⠀⠀⠀⠀⠴⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣤⣤⣤⣄⣀⡀⠀⢠⡟⠉⠉⢿⡀⠀⠙⠷⠞⠃⠀⣀⣼⡏⠀⠀⠀⢸⡇⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠉⠀⠀⠀⠀⠀⠉⠉⠛⠻⠄⠀⠀⠸⣧⠀⠀⠀⣀⡴⠟⢿⡀⠙⢷⡄⠀⣾⠁⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⢸⡏⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⢶⣤⣀⣀⡤⠄⠀⠀⠀⣀⠀⠀⣠⣤⣼⣧⣤⠞⠋⠀⠀⠈⢷⡀⠀⠻⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣄⣸⠃⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢩⣟⡀⠀⠀⠀⣤⣙⠃⠀⠁⣤⡴⠋⠁⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠋⠀⠀⠀⢀⣬⡅⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣧⠖⠂⠀⠀⠀⠁⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⣴⠟⢹⠇⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⠀⢀⣠⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠛⠛⠒⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠶⠞⠋⠁⠀⠙⠳⢦⣤⣀⣀⣸⡶⠦⣴⠋⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⢳⡄⠀⠀⠘⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢹⡝⠄⠀⠀⠀⠀⠈⠉⠛⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢷⡀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⣿⠛⠶⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡈⢷⣄⠀⠀⠀⠙⠳⢦⣄⣀⣀⣀⣀⣠⡴⠟⠁⢹⡆⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠙⢷⣄⡀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⢀⣾⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⣈⠙⠳⢦⣤⣀⣀⡀⠀⠀⣀⣀⣴⢾⡇⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠶⣮⡉⠉⠉⠉⠉⣁⣠⠟⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠉⠁⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠟⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢁⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠋⠉⠁⠀⠈⠉⠛⠶⣄⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⠶⠖⠶⠶⣤⣀⠀⠀⠀⠈⠻⣦⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠾⠛⠛⠛⠶⣤⡉⢳⣄⠀⠀⠀⠈⢷⡄⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠈⠻⣆⠙⣧⡀⠀⠀⠀⢻⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠙⣧⠈⢷⡀⠀⠀⠀⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⣀⣀⡼⣦⠈⢷⡀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠒⠚⠉⠉⠁⠀⠀⠈⢷⡈⢷⡀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠈⢷⡈⣷⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⡇⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⣸⠇⣸⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠶⢤⣶⣾⠿⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡠⠒⠉⢉⣑⠢⣄⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⠀⠎⢦⠀⣨⠞⠁⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⡀⠀⠀ ⠀⢸⠀⠀⠀⢂⠈⡟⢡⠎⣀⣤⠀⠀⡇⠀⠀⠀⠀⠀⡀⠀⡠⠊⢠⠞⢁⡽⡄⠀ ⠀⡇⠀⠀⠀⠀⣜⣤⡷⠉⠘⡠⠱⡴⠀⠀⠀⠀⠀⡏⠈⠳⠁⠀⠁⠠⠃⢀⠇⠀ ⠀⡇⠀⠀⠀⡸⢸⠁⠔⠒⣄⠃⢸⠜⠊⠉⠑⡄⠀⠈⡆⠀⡀⡀⠀⠀⠀⠎⠒⢢ ⠀⡼⠀⠀⠀⡗⠉⠀⠃⠀⢿⠄⠉⠀⠀⠀⠀⡸⠀⠀⣥⠀⠁⠡⠂⠀⢀⠤⠴⠊ ⢸⠀⠀⠀⢀⠑⠤⠤⢄⠀⢉⠀⢀⣀⣀⣀⣴⡇⠀⠘⣄⠀⠀⠀⢀⡤⠃⠀⠀⠀ ⠀⠣⢄⡰⠊⣑⠢⠄⠴⠁⢸⣿⣿⣿⣟⡛⡟⠀⢀⠎⠀⠑⠢⡤⠴⠃⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠊⠑⠀⣀⠀⠀⠈⢟⠁⠲⡇⣧⡔⠁⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠒⠊⢣⠙⠦⡀⠀⠐⠂⡰⢻⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠤⡀⢸⣀⠦⢞⡖⠊⠹⠀⠸⡀⠀⠐⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣎⠉⠉⠉⠐⠃⠀⢱⡀⡠⠔⢏⠱⡀⡇⠀⠀⠙⠦⣀⠀⡘⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⢉⡯⠀⠠⠇⠈⡽⠋⠀⠀⠈⢢⠈⠁⠀⠀⠀⠀⠀⠉⠁⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⡼⠂⠀⠈⠀⠈⣄⠀⢀⡤⠊⢉⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀ ⢸⣀⡠⢄⡀⠀⠀⠀⢉⠥⠓⠒⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠈⠉⡇⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠊⢇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠀⠸⡂⠀⠈⠑⠢⢤⣀⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢏⢆⠀⠑⠦⢀⣀⡀⠴⢻⠈⡇⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⢕⡢⢤⣀⣀⣀⡠⡞⢠⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠢⠔⠚⠁⡜⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣊⣁⣀⡀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡮⠤⢄⡀⠉⠲⡀⠘⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⠈⠑⢌⢢⠀⠈⢦⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⣀⣇⢣⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢣⢣⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⡏⡆⡸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠄⣀⣴⠕⠉⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠁⠀⠀⣈⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠿⠛⠛⠛⠿⣿⠟⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⠿⠛⠋⠛⠻⠿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⣤⣶⣾⡆⠀⠀⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠘⣿⣿⣿⡄⠈⠉⠀⠀⠈⢉⣀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⣴⣾⣿⣿⣷⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣆⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⢰⡄⠀⠀⠘⡇⠀⠀⠀⣿⣿⣿⡟⢿⣿⣿⣷⣸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⢸⣿⣿⣆⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣦⣼⣿⣿⣿⣆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣦⣽⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡿⠿⠻⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣶⡀⠀⠻⢛⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣷⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⣿⣿⡦⣼⣯⣵⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⢹⣿⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣦⣀⢀⡘⣿⡇⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⡟⠉⠀⠀⣾⣿⣿⣿⣿⠟⠁⠀⠉⠻⣿⣿⣿⣿⣧⣠⣶⠄ ⢰⣿⣿⣿⡿⠋⠀⠀⠀⢀⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠙⠻⣿⣿⣿⡟⠁⠀ ⢸⣿⡿⠋⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠙⢻⡃⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⠿⣿⡿⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠙⢿⣿⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡟⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠈⠙⢿⣄⠀⠀⠀⠉⠙⠻⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠀⠀⠀⠀⢸⠁⠈⢣⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠹⣧ ⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠸⣇⠀⠈⣧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⣠⣿⠀⠀⠀⠀⢻⣷⣾⣿⡆⠀⠀⠀⠀⠹⣆⠀⠀⢰⡿ ⠀⠀⠀⠀⢠⡿⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠘⡿⠿⠟⣇⠀⠀⠀⠀⠀⢹⡆⢀⣿⠃ ⠀⠀⠀⢠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠉⠀⡇⠀⠀⠀⠀⠹⡀⠀⡏⢀⣴⣿⣿⣿⠀⢿⡿⠁⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡄⠀⠳⣤⡼⠁⠀⠀⠀⠀⠀⠙⠚⠁⡈⣛⠟⠛⠉⠀⢸⣧⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⢀⢲⡦⡀⠀⠀⠀⣀⣠⣤⣾⡿⠏⠀⠀⠀⠀⠀⣿⠀⠀ ⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡯⠭⣭⣿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⣿⣿⡛⠛⠛⠛⠾⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠁⠐⠛⠛⠋⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀ ⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠀⠀⠉⠛⠷⢶⣶⠶⠶⠶⠖⠛⠋⠁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣤⣿⠏⠀⠀⠀⠀⠀⠲⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⡴⠋⣹⡏⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣠⡴⠶⠛⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢀⣤⣶⠆⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠙⣛⣡⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣤⠶⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠶⣄⠀ ⣾⠁⠀⣿⣦⢸⡇⣛⡀⣀⢀⡀⢴⡦⢀⡤⣀⢀⣀⢀⡀⢀⡀⣶⠀⡠⢄⠀⠘⣧ ⢿⡀⠀⣿⠈⢿⡇⢿⠇⣿⠀⣿⢸⡇⠻⣏⡭⠸⡇⠸⡇⠻⣄⣿⠸⢇⡸⠇⢠⡟ ⠈⠻⠶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠶⠋⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠉⠙⠻⠿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⡄⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣴⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠼⠛⠉⠁⠀⠀⠀⠈⠙⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠙⣿⣿⣿⣿⣿⣿⣿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠟⠉⠀⠀⠉⠻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⠁⠀⠀⣿⠿⠇⠀⠈⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⢰⣶⣦⣼⣿⣿⣿⣿⣿⠀⠀⠀⠿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⣴⣶⡆ ⢸⣧⠀⠹⣿⠟⠛⢉⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⡉⠛⠻⣿⠏⠀⣼⡇ ⠈⣿⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⣿⠁ ⠀⠹⣧⠀⢠⣌⢻⣿⠛⠻⠟⢿⣿⣿⡿⠻⠟⠛⣿⡟⣡⡄⠀⣼⠏⠀ ⠀⠀⠙⣷⠀⢻⣧⠙⢷⣶⣶⡿⠉⠉⢿⣶⣶⡾⠋⣼⡟⠀⣾⠋⠀⠀ ⠀⠀⠀⠻⣧⡄⠹⣧⣤⣤⣿⣇⠀⠀⣸⣿⣤⣤⣼⠏⢠⣼⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⢀⡈⠉⣭⣍⣿⣆⣰⣿⣩⣭⠉⢁⡀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠿⠟⠛⠉⠉⠛⠻⠿⠀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣶⣤⡀⠀⠀⠀⠀⢀⣤⣶⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣤⣤⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⠸⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⡏ ⠀⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⠀⢀⣴⡟⠀⠀⠀⠀⢠⣟⠛⠛⠛⠛⠛⠛⣣⡀⠀⠀⠀⠀⠹⣷⡀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⠉⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣰⣿⣿⣦⠀⠀⠀⠀⣰⣿⣿⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⣿⣿⡀⠀⠀⣴⣿⣿⣿⣿⣷⡀⠀⣼⣿⣿⣿⣿⣦⠀⠀⠀⣿⣿⡿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣶⣿⣿⡇⠀⠼⠿⠿⠿⠿⠿⠿⠷⠾⠿⠿⠿⠿⠿⠿⠷⠀⢰⣿⣿⣷⣦⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⢁⣹⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⢠⣆⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⡀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⠿⠟⠛⠉⠁⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢀⣾⣿⣆⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠉⠛⠻⠿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⡿⠋⣸⣿⣿⣿⣿⡿⠃⢀⣾⣿⣿⣿⡄⠀⠿⣿⣿⣿⣿⣯⠈⢿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠋⠀⢠⣿⣿⣿⡏⠀⠀⢀⣼⣿⣿⣿⣿⣷⡀⠀⠀⠘⣿⣿⣿⡆⠀⠙⢿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⠟⠁⠀⠀⣾⣿⣿⣿⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⢿⣿⣿⣿⡀⠀⠀⠙⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⣸⣿⣿⣿⡇⠀⢠⣤⡀⠉⢻⣿⣿⣿⠋⠀⣠⣄⠀⠘⣿⣿⣿⣧⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠀⢠⣿⣿⠃⠀⢸⣿⣿⣿⠀⠈⢿⣿⣇⠀⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⠀⢸⣿⣿⣿⠂⠀⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡿⠿⠿⠿⣿⣿⡆⠀⠀⠈⢿⣿⠃⠀⠀⠰⣿⣿⠿⠿⠿⢿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢧⡀⠀⠀⠘⠉⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠈⠛⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠿⠿⠛⠛⡛⡛⠟⣻⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠟⠋⠑⠀⠁⠀⠀⢀⣦⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⡛⠕⠈⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⢀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⣠⣾⠟⠁⠀⠀⢀⣠⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣦⣄⠙⢿⣦⡈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠈⣡⣾⡿⠋⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣄⠻⣷⡄⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣼⡿⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⣿⣆⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⡿⢋⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⣿⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣆⠱⡄⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⠟⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠘⣿⡄⢱⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢹⣷⡀⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠛⠿⠿⢿⣶⣦⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⣧⣴⣶⣾⠿⣷⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡁⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢹⣿⠉⠀⠀⠀⣨⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⣹⡿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢸⣿⠀⠀⠀⠀⠈⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠠⢀⣠⣤⣾⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣦⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⡀⢘⣿⣶⡿⠛⠉⠁⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⠿⠃⠀⠀⠀⣿⡇⠀⠀⠀⡀⢺⣿ ⠀⠀⠀⠀⠀⠀⡼⢀⣾⠟⠁⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⣷⣿⡏ ⠀⠀⠀⠀⠀⢀⠁⣼⡿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢟⠀⠀⠀⣸⣿⠃ ⠀⠀⠀⠀⠀⠈⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣂⠀⠀⢰⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⢀⣠⣴⣶⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠃⠀⣰⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠸⣿⣄⣤⣾⣿⡟⠍⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢰⣿⠓⠀⣼⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⠿⠋⠁⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣾⡏⢷⣾⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠐⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠁⠀⠀⠀⠀⢀⣾⡟⡜⢽⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⡿⠛⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⢠⣾⠟⠜⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⡫⠊⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⢰⣿⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠝⠻⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⡋⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠍⣛⡻⠿⣶⣦⣤⣤⣤⣀⣀⣀⣀⣤⣤⣤⣶⡾⠟⠋⠑⠁⠀⠀⠀⠀⣠⣴⣿⣿⠀⠀⠀⠀⠀⠀ ⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣠⣴⣶⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠩⠭⠙⠛⠛⠛⠛⠋⠩⠉⠂⠀⢁⠀⡀⡀⢀⣠⣴⣿⠿⠋⢹⣿⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣷⣶⣤⣤⣤⣴⣶⣾⣿⣿⣿⡋⠉⠙⠛⠿⢿⣶⣦⣥⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣴⣶⣾⠿⠿⢿⣶⣦⣶⣾⠿⠛⠉⠀⢀⣠⣾⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠁⢀⣿⡇⠭⣟⠻⢷⣶⣤⣄⣀⠀⠉⠉⠛⠛⠿⠿⢷⣷⣶⣶⣶⣦⣤⣤⣤⣴⣿⠟⠉⠁⠀⠀⠀⠀⠀⠉⢻⣷⣀⣤⣴⣾⢿⣛⣿⣇⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠂⣰⣿⠫⠈⠀⠀⠉⠐⠨⢽⣛⠿⢿⣶⣶⣤⣄⣀⣀⡀⠀⠀⠀⠀⠉⠉⠉⢹⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠟⠋⠁⠀⠀⠀⠍⡛⢿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⣸⣿⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠂⠈⠍⡙⣛⠛⠿⠿⠿⠿⢷⣶⣶⣶⣾⣿⣷⣤⣀⣀⣀⣀⣀⣤⣴⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣧⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⢛⣛⢛⣛⠻⠋⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⡋⠀⠀⠀⠀ ⠀⠀⠀⠔⢀⣴⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣷⣤⡀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠀⠂⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠊⠉⠉⠀⠀⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⡠⠼⠴⠒⠒⠒⠒⠦⠤⠤⣄⣀⠀⢀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠔⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡤⠤⢴⠀ ⠀⠀⠀⠀⠀⠀⣸⠁⣾⣿⣀⣽⡆⠀⠀⠀⠀⠀⠀⠀⢠⣾⠉⢿⣦⠀⠀⠀⢸⡀⠀⠀⢀⣠⠤⠔⠒⠋⠉⠉⠀⠀⠀⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⢀⡏⠀⠹⠿⠿⠟⠁⠀⠰⠦⠀⠀⠀⠀⠸⣿⣿⣿⡿⠀⠀⠀⢘⡧⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀ ⠀⠀⠀⠀⠀⣼⠦⣄⠀⠀⢠⣀⣀⣴⠟⠶⣄⡀⠀⠀⡀⠀⠉⠁⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀ ⠀⠀⠀⠀⢰⡇⠀⠈⡇⠀⠀⠸⡾⠁⠀⠀⠀⠉⠉⡏⠀⠀⠀⣠⠖⠉⠓⢤⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⣀⡼⠃⠀⠀⠀⢧⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⣧⠀⠀⠀⣸⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠘⣆⠀⠀⠀⢠⠏⠀⠀⠀⠀⠈⠳⠤⠖⠃⡟⠀⠀⠀⢾⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠈⠦⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠙⢦⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠸⡇⠈⢳⡀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⣀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣷⠴⠚⠁⠀⣀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡴⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⢷⡆⠀⣠⡴⠧⣄⣇⠀⠀⠀⠀⠀⠀⠀⢲⠀⡟⠀⠀⠀⠀⠀⠀⠀⢀⡇⣠⣽⢦⣄⢀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣼⣽⡞⠁⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠈⣷⠃⠀⠀⠀⠀⠀⠀⠀⣼⠉⠁⠀⠀⢠⢟⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠉⠁⢳⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠏⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⡆⠀⠈⡇⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⡀⠀⠙⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⡄⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⡀⣰⣀⣀⣀⠀⠀⠀⠘⣦⣀⠀⠀⠀⡇⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⢸⡇⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠀⠀⠈⠉⠉⠉⠙⠻⠿⠾⠾⠻⠓⢦⠦⡶⡶⠿⠛⠛⠓⠒⠒⠚⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜⬜ ⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜ ⬜⬜🟩🟩🟩🟨🟨🟩🟨⬜⬜⬜ ⬜🟩🟨🟩🟨🟨🟨🟩🟨🟨🟨⬜ ⬜🟩🟨🟩🟩🟨🟨🟨🟩🟨🟨🟨 ⬜🟩🟩🟨🟨🟨🟨🟩🟩🟩🟩⬜ ⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨⬜⬜ ⬜⬜🟩🟩🟥🟩🟩🟩⬜⬜⬜⬜ ⬜🟩🟩🟩🟥🟩🟩🟥🟩🟩🟩⬜ 🟩🟩🟩🟩🟥🟥🟥🟥🟩🟩🟩🟩 🟨🟨🟩🟥🟨🟥🟥🟨🟥🟩🟨🟨 🟨🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨🟨 🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨 ⬜⬜🟥🟥🟥⬜⬜🟥🟥🟥⬜⬜ ⬜🟩🟩🟩⬜⬜⬜⬜🟩🟩🟩⬜ 🟩🟩🟩🟩⬜⬜⬜⬜🟩🟩🟩🟩

⠈⣷⣿⣿⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⢰⣶⣷⣿⣿ ⠀⠹⣿⣿⣿⡄⠀⠈⠓⠦⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠊⠉⠀⣸⣿⣿⣽⠃ ⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠘⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⣿⣿⣿⠃⠀ ⠀⠀⠀⠈⢻⣿⠄⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠙⠁⠀⠀⠀⠀⠀⠀⡸⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠁⢾⡄⠀⠀⠀⠀⠀⠀⠀⠈⠱⣦⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠈⠳⡆⣤⠴⠞⠛⠉⠉⠉⠉⠉⠉⠉⠳⠆⣤⣤⠞⠁⠀⠀⠀⠀⠀⠀⢀⣠⠖⠁⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⣶⠖⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠶⣦⡄⠀⠀⢈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠀⠀⢰⣾⣷⣀⣰⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣠⣾⣿⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠈⠻⣍⡩⠜⠃⠀⠀⠀⠠⣤⡤⠀⠀⠀⠀⠹⠭⣉⠽⠏⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠴⣤⣠⣇⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣤⣼⣀⡴⢴⢦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⢹⡁⣀⡀⠙⣱⡀⠀⠀⠀⠲⣄⣠⡴⣒⢒⣤⣤⠴⠂⠀⠀⠀⢠⡞⢁⣀⡀⢨⠃⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠈⠈⠈⠀⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⢊⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢡⣿⣿⡇⠐⠀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠘⡏⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢶⣿⣿⣿⣿⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠀⠀⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠁⡿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡴⠂⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠰⣴⣿⡟⠀⠀⢿⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠔⠀⣰⣿⡟⠀⠀⣠⠞⠛⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠐⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⡁⠀⠀⢀⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⣀⡀⠀⠐⠂⠉⠁⠀⠉⠈⠉⢉⡓⠺⢿⡏⠀⠀⠀⠀⠈⠒⣶⣾⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠛⠋⠁⠀⠀⡀⠀⠀⢰⠁⠀⠀⣠⠊⠀⠀⣠⠈⠙⢢⣄⠀⠀⠘⠉⠉⠀⠓⠤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⠀⠀⠀⠀⠀⠲⠃⠀⠀⣿⢀⣀⡴⠁⠀⢀⡴⠣⢠⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠃⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠋⠀⠀⠀⠘⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡄⠀⢠⡏⠀⠀⠀⢠⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣤⠀⠀ ⠸⠇⢸⣿⡇⠀⠀⠀⠘⠁⠈⠙⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⠀⠀⠀⢰⣦⣀⡀⢀⣧⣦⠀ ⠀⢀⡼⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠛⠛⢿⣧⡀⠀⠀⠀⠀⠻⣿⣿⣿⣻⣿⣧ ⠀⢻⠐⠻⠇⠀⠀⠀⠀⠀⠀⢰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠈⠛⠏⣿⡟⠛ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡶⠾⠛⠛⠷⣦⣄⣀⣀⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⢰⡟⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠦⣤⣀⣀⣈⣽⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠈⢻⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠉⠈⠀⠀⢀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠋⠀⠀⠀⠀⠓⣲⣿⡿⣧⠶⠆⣀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠁⠘⣿⣶⣷⣦⣿⣿⡦⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜️⬜️ ⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜ ⬜⬜🟫🟫🟫🟧🟧⬛️🟧⬜⬜⬜ ⬜🟫🟧🟫🟧🟧🟧⬛️🟧🟧🟧⬜ ⬜🟫🟧🟫🟫🟧🟧🟧⬛️🟧🟧🟧 ⬜🟫🟫🟧🟧🟧🟧⬛️⬛️⬛️⬛️⬜ ⬜⬜⬜🟧🟧🟧🟧🟧🟧🟧⬜⬜ ⬜⬜🟥🟥🟦🟥🟥🟥🟥⬜⬜⬜ ⬜🟥🟥🟥🟦🟥🟥🟦🟥🟥🟥⬜ 🟥🟥🟥🟥🟦🟦🟦🟦🟥🟥🟥🟥 🟧🟧🟥🟦🟨🟦🟦🟨🟦🟥🟧🟧 🟧🟧🟧🟦🟦🟦🟦🟦🟦🟧🟧🟧 🟧🟧🟦🟦🟦🟦🟦🟦🟦🟦🟧🟧 ⬜️⬜️🟦🟦🟦⬜️⬜️🟦🟦🟦⬜⬜ ⬜️🟫🟫🟫⬜️⬜️⬜️⬜️🟫🟫🟫⬜ 🟫🟫🟫🟫⬜️⬜️⬜️⬜️🟫🟫🟫🟫

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜⬜⬜ ⬜⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜ ⬜⬜⬜🟫🟫🟫🟨🟨🟫🟨⬜⬜⬜⬜ ⬜⬜🟫🟨🟫🟨🟨🟨🟫🟨🟨🟨⬜⬜ ⬜⬜🟫🟨🟫🟫🟨🟨🟨🟫🟨🟨🟨⬜ ⬜⬜🟫🟫🟨🟨🟨🟨🟫🟫🟫🟫⬜⬜ ⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜🟫🟫🟥🟫🟫🟫⬜⬜⬜⬜⬜ ⬜⬜🟫🟫🟫🟥🟫🟫🟥🟫🟫🟫⬜⬜ ⬜🟫🟫🟫🟫🟥🟥🟥🟥🟫🟫🟫🟫⬜ ⬜🟨🟨🟫🟥🟨🟥🟥🟨🟥🟫🟨🟨⬜ ⬜🟨🟨🟨🟥🟥🟥🟥🟥🟥🟨🟨🟨⬜ ⬜🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨⬜ ⬜⬜⬜🟥🟥🟥⬜⬜🟥🟥🟥⬜⬜⬜ ⬜⬜🟫🟫🟫⬜⬜⬜⬜🟫🟫🟫⬜⬜ ⬜🟫🟫🟫🟫⬜⬜⬜⬜🟫🟫🟫🟫⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

▒▒▒▒▒▒▒▒▒▄▄▄▄▒▒▒▒▒▒▒ ▒▒▒▒▒▒▄▀▀▓▓▓▀█▒▒▒▒▒▒ ▒▒▒▒▄▀▓▓▄██████▄▒▒▒▒ ▒▒▒▄█▄█▀░░▄░▄░█▀▒▒▒▒ ▒▒▄▀░██▄░░▀░▀░▀▄▒▒▒▒ ▒▒▀▄░░▀░▄█▄▄░░▄█▄▒▒▒ ▒▒▒▒▀█▄▄░░▀▀▀█▀▒▒▒▒▒ ▒▒▒▄▀▓▓▓▀██▀▀█▄▀▀▄▒▒ ▒▒█▓▓▄▀▀▀▄█▄▓▓▀█░█▒▒ ▒▒▀▄█░░░░░█▀▀▄▄▀█▒▒▒ ▒▒▒▄▀▀▄▄▄██▄▄█▀▓▓█▒▒ ▒▒█▀▓█████████▓▓▓█▒▒ ▒▒█▓▓██▀▀▀▒▒▒▀▄▄█▀▒▒ ▒▒▒▀▀▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛⬛⬛🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🏽🌫️🌫️⬛🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🏽🌫️🟩🌫️⬛🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩⬛🏽🌫️🟩🟩🌫️⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛🟩🟩🟩⬛⬛⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛ ⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛⬛ ⬜⬜⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛⬛🟩🟩🟩⬛🟩🟩⬛⬛⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜ ⬜⬛🟩🟩🟩🟩⬛🟩🟩⬛🟧🏻🏻⬛🏻🏻🏻🏻⬛🏻⬛⬜⬜⬜ ⬛🟩🟩🟩🟩🟩⬛⬛⬛🟧🏻🏻🏻⬛🏻🏻🟧⬛⬛⬛⬛⬛⬜⬜ ⬛🟩🟩⬛⬛⬛🟫🟧⬛🟧🏻🏻🏻⬛🏻🏻⬛🟧🏻🏻🏻🏻⬛⬜ ⬜⬛⬛🟧🏻🏻⬛🟧🟧⬛🏻🏻🏻🏻🏻🏻🟧🏻🏻🏻🏻🏻🟧⬛ ⬜⬛🟧🏻⬛🏻⬛🟫🟫⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧⬛ ⬜⬛🟧🏻⬛🟧🏻⬛⬛⬛🏻🟧⬛⬛⬛⬛⬛🟧🏻🏻🏻🟧⬛⬜ ⬜⬛🟧🏻🟧⬛🏻🟧🏻🏻🏻🟧⬛🏿🏿🏿🏿⬛🟧🟧🟧⬛⬜⬜ ⬜⬜⬛🟧🏻🏻🏻🟧🏻🏻🏻🟧⬛🏿🟫🟫🟫🏿⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛🟧🏻🏻🏻🟧🟧⬛🏿🟫🏿⬛🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟫⬛🟧🏻🏻🏻🏻🟧⬛⬛⬛🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟫⬛🟧🏻🏻🏻🏻🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟧🟧🏻🏻🏻🟧⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟦⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟩🟩⬛🟦⬛🟩🟩⬛🟦⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛🟦⬛🟩🟩⬛🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛🟦🟦⬛🟩🟩⬛🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛🟦🟦⬛⬛⬛🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🟦⬛🟨🟨⬛🟦🟦🟦🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛🟩⬛🟦🟦⬛🟧🟨⬛🟦🟦🟦🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏽🌫️🌫️⬛⬛🟦🟦🟦⬛⬛🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🏽🌫️🌫️🌫️🏽⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬛🏽🌫️🌫️🌫️🌫️🌫️🌫️⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬛🏽⬛🌫️⬛🌫️🌫️🏽⬛🟦🟦🟦🟦🟦🟦🟦⬛🏽⬛⬜⬜⬜ ⬜⬜⬛🏽⬛🌫️⬛🌫️⬛⬛⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬜⬜⬜ ⬜⬜⬛🏽🏽🌫️🌫️🌫️🌫️⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🏽⬛⬜⬜⬜ ⬜⬜⬜⬛🏽🏽🏽🏽🏽⬛🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟫🟫🟫🟧🟧🟧⬛⬛⬛🟫⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟫🟫⬛⬛🟧🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🟧🟧🟧🟧⬛🟧🟧🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟫🟧🟧🟧🟧🟧🟧🟧🟫⬛🟫🟫🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛🟨🟨⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⡠⠔⠂⠁⠀⣴⣿⣯⡴⠶⠶⠶⠶⠶⠶⠶⣴⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⢀⠔⠀⢀⣠⠴⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣤⣤⣶⣶⣦⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⠄⢁⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠈⠉⠉⠙⠛⠻⠶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠰⣡⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣄⠁⠀⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠻⣿⣦⡀⠀⠀⠀⠈⠐⠂⠀⠠⢀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠹⣿⠛⠷⣦⣄⣠⣀⣄⣤⣶⣶⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢻⣧⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⢀⣼⣿⣏⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠶⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⢸⣿⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⣼⣿⣿⣿⣷⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡀⠀⣹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠸⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠽⣢⠀⠀⠈⠙⠋⠋⠁⠀⠀⠀⠀⠀⠀⠰⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣏⠷⣡⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠁⣀⣀⢤⡤⣀⢀⠀⠀⠀⠀⠀⡀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢾⡿⡜⣥⢺⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢞⡱⣊⠶⡱⡍⣞⡹⢆⠀⠀⠀⠇⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣳⣌⢳⠀⠀⠀⠀⠀⠀⠀⠀⠱⢄⣀⣤⡴⣄⡀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⢀⡏⢮⡑⢮⡱⢣⡝⣤⢛⡜⡆⠀⡘⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡷⣽⡺⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⢁⡠⢞⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠶⣙⢦⠹⡥⣚⢤⡓⢮⠃⠰⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣞⠁⠀⡀⠀⠀⠀⡤⠚⢁⣠⠔⠚⠁⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠸⣌⢳⡱⢎⡲⣭⠏⠀⠁⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡀⠈⠐⠠⡀⡇⠀⢸⠀⠄⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠥⠾⠜⠃⠁⠀⠁⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣤⡂⠈⣷⠀⠀⡄⣆⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠁⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠉⠁⠀⢀⣼⡀⠀⡏⠀⠒⠤⢀⣐⠂⠠⠤⠤⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⡀⠄⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⢀⣴⠿⣧⣅⡀⠃⠀⠀⠀⠀⠀⠉⠑⠒⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⣠⡾⠋⠀⠈⠢⠀⠀⢰⣟⡁⠀⠀⠁⠈⠙⠶⠦⣤⣀⣀⠀⠀⠀⠀⢢⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢠⣦⣀⠀⠀⠀⠀⢀⣿ ⠀⠀⣼⠟⠀⠀⠀⠀⠀⢡⡀⢸⡇⠈⠑⢂⠤⢄⠀⠀⠀⠀⠉⠙⠛⠳⠶⣤⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡇⠀⠀⠀⣼⠏⠙⠻⣦⣄⠀⣼⡇ ⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠱⣼⡇⠀⠀⠐⠠⠀⠈⠨⠐⠤⠀⡀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⣀⣀⣀⠤⠤⠄⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⢰⡏⠀⠀⠀⠀⠙⠿⡟⠀ ⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠩⢉⠲⢽⠜⣠⡴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⢿⡀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡹⠑⠦⣤⣑⡠⠀⠀⠀⠀⠀⡇⠀⠀⣀⠬⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸⣇⣼⣷⣻⠀⠀⢀⡀⠀⠀⠀⠀ ⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡃⢒⠀⠆⣏⠓⡶⢤⣄⡀⡇⡡⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢻⣟⡧⣧⡄⣠⡿⠳⣦⡀⠀⠀ ⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠧⣸⠟⢳⣾⣯⣗⠠⢈⣹⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⢯⡷⣭⣿⡟⠀⠀⠈⠛⢷⣤ ⠀⠀⠈⠛⢷⣦⣤⣀⣀⠀⠀⣠⣶⠛⡡⢿⡀⢈⠁⠒⢹⠆⠡⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠘⣿⣿⡟⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⣹⡏⠙⠛⠋⣿⣿⠠⢁⠜⠳⢶⣬⣦⠟⣈⠡⢙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟨🟨🟫🟫🟫🟨🟨🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟨🟨🟨🟨🟫🟨🟨🟨🟨🟫🟫 ➖➖➖➖➖➖➖➖➖➖➖🟨🟨🟫🟫🟨🟨🟨⬜️⬜️🟨⬜️⬜️🟨🟨🟨🟫🟨🟨 ➖➖➖➖➖➖➖➖➖➖🟨🟨🟨🟫🟫🟫🟨🟨⬜️🟫🟨🟫⬜️🟨🟨🟫🟫🟨🟨🟨 ➖➖➖➖➖➖➖➖➖➖🟨🟨🟨🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟨🟨🟨 ➖➖➖➖➖➖➖➖🟧🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟨🟨🟨🟨🟨🟨🟫🟫🟫🟧 ➖➖➖➖➖➖🟧🟧🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟧🟧 ➖➖➖➖➖🟧🟫🟫🟫🟫🟫🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟧🟫🟫🟫🟫🟫🟫🟨🟨🟨🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟨🟨🟫🟫🟫🟫🟫🟫🟧🟧 ➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖🟫🟫🟫🟫🟫🟧🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟧🟫🟫🟫🟫🟫 ➖🟫🟫🟫🟫🟫🟫🟧🟧🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟧🟧🟫🟫🟫🟫🟫🟫 ➖🟫🟫🟫🟫🟫🟫🟫🟧🟧🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟧🟧🟫🟫🟫🟫🟫🟫🟫 ➖🟫🟫🟫🟫🟫🟫🟫🟫🟧🟧🟧🟫🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟫🟧🟧🟧🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟨🟧🟫🟫🟧🟨🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟫🟨🟨🟨🟧🟧🟨🟨🟨🟫🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟨🟨🟨🟨🟧🟧🟨🟨🟨🟨🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟨🟫🟨🟨🟨🟧🟧🟨🟨🟨🟫🟨🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖➖➖➖🟧🟫🟫🟧🟫🟧🟨🟨🟨🟨🟨🟧🟨🟨🟧🟨🟨🟨🟨🟨🟧🟫🟧🟫🟫🟧 ➖➖➖➖➖➖🟧🟫🟫🟫🟫🟧🟫🟧🟧🟧🟧🟧🟨🟨🟨🟨🟧🟧🟧🟧🟧🟫🟧🟫🟫🟫🟫🟧 ➖➖➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟧🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟧🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟨🟧🟨🟧🟨🟨🟧🟨🟧🟨🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟨🟧🟨🟧🟨🟫🟧🟨🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧🟫🟫🟧🟫🟧🟫🟫🟧🟫🟫🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖🟧🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟧 ➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫➖➖➖➖➖➖➖➖➖➖➖➖🟫🟫🟫🟫🟫🟫🟫🟫🟫🟫 ➖➖🟨🟫🟨🟨🟫🟫🟫🟨🟨🟫🟨➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟨🟫🟨🟨🟫🟫🟫🟨🟨🟫🟨 ➖🟨🟧🟨🟨🟫🟨🟨🟨🟨🟫🟨🟨➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟨🟨🟫🟨🟨🟨🟨🟫🟨🟨🟧🟨 🟨🟧🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟧🟨

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⡿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠀⠀⠀⣿⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀⣿⣄⠀⣠⣾⣇⠀⠀⠀⣀⣤⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⢰⠟⣿⠿⠋⠘⠿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⣼⡿⠿⢿⣷⣶⣴⣿⠏⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⣿⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⣿⣇⠀⠀⠈⢛⣿⡟⠀⠀⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⢻⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀ ⢹⣿⠀⠀⠀⣼⣿⠃⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠿⠟⠛⠛⠻⣿⣆⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀ ⠘⣿⡇⠀⠀⣿⣿⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⡿⠟⠛⢩⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀ ⠀⢹⣿⡄⢰⣿⡇⠀⠀⠀⣿⣿⣶⣶⣶⣶⣶⣾⡿⠟⢻⣿⠁⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣼⣿⡇⠀⠀⠀⢸⡇⠈⠉⢹⣇⠀⣸⣧⠀⣼⣿⡆⠀⠀⢠⣿⣧⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⢸⣿⠀⠀⢸⣿⣄⣿⣿⣷⣿⠿⣿⡄⠀⣼⡿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠸⣿⡆⠀⣿⣿⣿⡟⠋⠙⠁⠀⠙⢿⣶⣿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣿⣿⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣶⣶⣶⣤⣀ ⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠈⣹⣿ ⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏ ⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠹⣿⣦⣀⠀⠀⢀⣠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠈⠛⠿⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[+..••]

⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣵⡍⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣖⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣹⣿⣿⡔⡆⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⠀⠀⠀ ⠀⠫⡿⣿⣷⣽⡻⠍⠿⠗⢶⡄⡀⠀⡀⠄⣒⣤⣯⣵⣾⢟⡦⠁⠀⠀ ⠀⠀⠉⢛⡟⡉⠀⠀⠀⠀⠀⡈⢳⣮⣴⣿⣿⣿⣿⢟⡵⠋⠀⣐⠯⡄ ⠀⠀⠀⠸⢃⣤⡴⢂⠐⡈⣐⠠⢈⢹⣛⣿⣯⣭⡼⣭⠠⠔⠊⠁⠀⢣ ⠀⠀⠀⣼⢸⣿⡇⠠⠂⠔⣼⣽⡇⣼⠇⣠⠞⣍⠲⠤⢭⡐⢎⠀⠀⠈ ⠀⡠⠊⠹⡀⠍⣄⡲⢁⡈⠿⠿⢡⠿⡴⣇⠫⠴⣉⠞⣢⢙⡌⢠⡀⠀ ⠠⡅⠀⠀⡨⠒⠤⣄⣩⣁⣦⠵⠊⠀⠈⣯⣗⢧⣍⡚⣤⣋⣼⢳⡓⠀ ⠐⢷⡀⡈⠀⠊⠀⠀⠀⠂⠆⢱⠀⠀⢰⠇⢻⡽⣮⡽⢶⣛⣾⠝⠁⠀ ⠀⠀⠉⢥⡈⡀⠀⠀⠀⠀⣸⡘⣀⠤⢣⠘⠤⡟⠑⠋⠛⠂⠁⠀⠀⠀ ⠀⠀⠀⠀⢷⡲⢄⠀⣀⡴⢏⣹⣥⣾⠁⡊⢥⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣗⠉⢻⠃⡘⢤⣿⣿⣿⡇⠐⡰⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡛⡀⡼⠀⠐⡼⠽⠋⡧⣠⡲⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠁⠘⠲⠎⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠔⣡⣤⣠⣶⣿⡇⠀⠀⠀⠀⠀⠀⢢⠀⠠⠄⠐⠒⠲⣶⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⡛⠛⠛⠁⠀⠀⠀⣠⣶⣶⡄⠁⠀⠀⠀⠀⣾⣿⣿⣷⡀⠀ ⠀⠀⠀⠀⠀⢃⠉⢸⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⢀⡠⠐⠈⠀⠈⠙⢿⣿⣆ ⠀⠀⠀⠀⠀⠈⢆⠈⠛⠛⢻⣄⡀⠀⢀⣩⣏⠁⠀⠰⠁⠀⠀⠀⢀⡀⠀⠀⠉⠋ ⠀⠀⠀⠀⠀⠀⠀⠢⢀⠀⠈⠉⢻⣤⣿⣿⣿⠃⠠⠁⠀⣀⣴⣾⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠄⣀⡘⣛⣛⡁⠔⠁⣠⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⠀⢀⡄⠀⢠⠀⠀⠈⠄⠀⠀⣹⣿⣟⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠀⠀⠸⡇⠀⠸⠇⠀⠀⠈⡄⢾⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢋⣭⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠋⠉⠙⠋⠄⠂⠙⠛⠒⠤⠺⠷⠂⠠⠄⠙⠿⠏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣽⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⣰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠉⠛⠛⠻⠿⣿⣿⣿⣿⣿⠟⣽⣿⣿⣿⠟⠁⠀⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠛⠿⠟⠁⠀⠀⠀⣿⡟⠀⣿⡏⢠⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⠛⠀⠀⢰⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠙⢿⡇⠀⠀⠀⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⣿⣇⠙⠿⣷⣦⡀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⢠⣤⡄⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠙⠿⣿⣤⡀⠀⢠⣿⡿⠀⠀⢀⣤⣾⡿⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣄⠀⠀⢀⡀⠀⠹⣿⣆⠀⠀⠈⡿⣿⣷⣿⣿⡇⠀⠀⣼⣿⣿⣀⣀⣤⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠙⠛⠀⠐⣿⣿⡀⠀⠹⣿⣶⣦⣤⣤⣤⣽⣿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⣄⣄⡉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡉⢻⣿⢿⣷⣦⣤⣤⣄⣠⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠸⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣼⣿⠀⠀⠉⣿⠉⠛⠛⠛⠛⠛⠛⠋⠉⢹⡏⠉⠉⢹⡇⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣠⣶⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣻⡿⠿⣶⣶⣦⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈

⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿ ⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿ ⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿ ⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿ ⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿ ⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿ ⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔

⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟦🟦🟦🟦🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟦🟦🟦🟦🟦🟦🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟩🟦🟦🟦🟦🟦🟦🟦🟦🟩⬛⬜⬜⬜ ⬜⬜⬜⬛🟦⬛🟨🟨🟨🟨🟨🟨⬛🟦⬛⬜⬜⬜ ⬜⬜⬛🟩⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛🟩⬛⬜⬜ ⬛⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨⬛⬛⬛⬛ ⬛🏻🏻⬛🟨🟧🟨🟨🟨🟨⬛🏻⬛🟨⬛🏻🏻⬛ ⬜⬛🏻⬛🟧🟨🟨🟨🟨⬛🏻🏻⬛🟨⬛🏻⬛⬜ ⬜⬜⬛🟨⬛🟨🟨🟧⬛🏻🏻🏻🏻⬛🟨⬛⬜⬜ ⬜⬜⬛🟨🟧⬛⬛⬛🏻🏻🏻⬛⬛🟧🟨⬛⬜⬜ ⬜⬜⬛🟨⬛⬜🟦⬛🏻🏻⬛🟦⬜⬛🟨⬛⬜⬜ ⬜⬜⬜⬛⬛🏻🟦⬜🏻🏻⬜🟦🏻⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟩🟫🟫🏻🏻🏻🏻🟫🟫🟩⬛⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜ ⬜⬛🏻🏻⬛🟫🟩🟩🟩🟩🟩🟩🟫⬛🏻🏻⬛⬜ ⬜⬛🏻🏻⬛🟦🟫🟫🟨🟨🟫🟫🟦⬛🏻🏻⬛⬜ ⬜⬜⬛⬛⬛🟦🟦🟩🟨🟨🟩🟦🟦⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛🟩🟦🟦🟦🟦🟩⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬛🟥🟥🟥⬛⬜⬜⬛🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜

⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⡗⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄ ⠀⢻⣇⠀⠈⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠋⣹⣿⡿ ⠀⠀⠹⣆⠀⠀⠀⠀⠙⢷⣄⣀⣀⣀⣤⣤⣤⣄⣀⣴⠞⠋⠉⠀⠀⠀⢀⣿⡟⠁ ⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀ ⠀⠀⠀⠀⠈⠻⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⢠⠒⣆⠀⠀⠀⠀⠀⠀⢠⢲⣄⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡏⠀⠀⠈⠛⠋⠀⢀⣀⡀⠀⠀⠘⠛⠃⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡟⠛⢳⠀⠀⠀⠀⠀⣉⣀⠀⠀⠀⠀⣰⢛⠙⣶⠀⢹⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡗⠛⠋⠀⠀⠀⠀⣾⠋⠀⢱⠀⠀⠀⠘⠲⠗⠋⠀⠈⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠈⠓⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⠀⣼⢷⣄⠀⣰⡀⠀⠀⠀⢀⣀⣤⡴⠶⠛⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣀⣙⢷⡏⢻⣤⠶⠟⠛⠉⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡄⣿⠳⣤⣀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⣾⣡⣤⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠿⠇⠀⠛⠿⣤⣀⠀⠀⢸⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣸⠟⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀ ⢙⣿⡆⠀⠀⠀⠀⠀⠙⠳⢦⣸⡇⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣩⣿⠃ ⠸⠿⣭⡄⠀⠀⠀⠀⠀⠀⠀⢹⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀ ⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣄⢠⠏⠀⠀⠀⠀⠀⠀⣰⡏⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⠏⠀⠀⠀⢠⠀⠀⠀⡟⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠆⠀⠀⠀⠀⢶⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⢸⣇⠀⠠⣷⡀⠀⠀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⣿⠀⠀⠀⠀⠀⠀⢸⣏⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⢸⡿⣦⡀⠈⠳⢦⣀⣀⣹⡄⠀⠀⠀⠀⠀⠀⠀⣀⣴⠛⠉⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⣸⠉⠉⠉⠉⠉⠙⠛⠛⠓⢶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣸⡇⠈⢷⣄⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⣠⣴⠛⠉⠏⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠐⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣾⡄⠀ ⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠹⣷⠀⣸⠋⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠦⠤⠤⠞⠋⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣾⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠹⣿⡟⠀⠀⠀⢨⡏⠛⠲⠤⣤⣀⣀⡀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠋⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⣤⡶⠞⠋⠛⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠈⠻⣄⡀⠀⣾⠀⠀⠀⠀⠀⠈⢹⡏⠉⠛⠛⠛⡿⠉⣍⡾⠁⠀⠀⠀⠀⠀⢀⣏⣀⣤⡴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣇⡀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢸⢇⡴⠋⠀⠀⠀⠀⠀⠀⠀⣾⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠇⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⠤⣤⣴⣧⣠⣤⣤⠴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⡄⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⣦⡄⠀⢀⣈⣳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠘⢷⣽⣭⣿⣾⡎⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠟⠀⠁⠀⠀⠀⠉⠻⣗⠲⠶⠴⢦⡶⠶⣦⡀⠀⠀⢀⡀⠀⣀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣠⡿⠀⠀⠘⣷⡀⢠⠟⢳⠟⢹⡧⣦⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⣷⡿⠀⠀⠀⠀⣸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⠦⠤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠴⠒⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠉⠉⠀⠒⠒⠤⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠪⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠒⢤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠤⡀⠐⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠒⠚⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⡤⠚⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠔⠋⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⢀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠠⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠁⠀⠀⢀⢀⣀⣠⡠⠴⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⣀⡠⠴⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣧⡯⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠅⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⡹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠶⠒⠀⠀⠐⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠈⠉⠉⠛⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠇⠀⢰⣾⣿⣶⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⢠⣾⣿⣷⡄⠀⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡄⠀⠸⣿⣿⡿⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠘⢿⣿⡿⠃⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡲⠤⣀⣀⣠⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⣤⣀⣀⣠⣴⢶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⠄⠀⠀⠀⠀⠀⡀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡯⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣦⣤⣖⣢⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠟⠁⠙⠻⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⠀⠀⠉⠙⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠘⠻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠉⣤⡅⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠎⢀⣶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠋⢠⣾⠟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡜⢿⣏⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠋⣰⡿⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠈⢻⣄⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡇⣰⠟⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⣿⣿⣿⠀⠀⠹⣧⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣎⣰⠏⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡇⠀⠀⠘⣿⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡼⣵⣾⡟⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⢀⠀⣠⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢹⣿⣾⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⢿⣿⣷⠀⠀⠀⠀⢻⠀⠀⢀⣀⣦⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⡻⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠉⠁⠀⠀⠀⠀⢸⠂⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⣿⣿⡿⠛⠛⠈⠉⠻⣿⡟⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⣿⡿⠀⠀⠀⠀⠀⠀⠸⣇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣿⠁⠀⠀⠀⠀⠀⠀⠀⢣⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡞⠁⢿⣄⠀⠀⠀⠀⠀⠀⢀⠞⠘⢻⢆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣾⣻⣿⣠⣾⣤⣘⡄⠀⠀⠀⠀⠀⣾⣶⣷⣼⣿⣾⣝⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛🟥⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛🏽🌫️🌫️⬛🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛🏽🌫️🟥🟥⬛🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥⬛🏽🟥🌫️🌫️🟥⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥🟥⬛⬛⬜ ⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛ ⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬛⬛ ⬜⬜⬜⬛🟥🟥🟥🟥⬛🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬛⬛🟥🟥🟥⬛🟥🟥⬛⬛⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜ ⬜⬛🟥🟥🟥🟥⬛🟥🟥⬛🟧🏻🏻⬛🏻🏻🏻🏻⬛🏻⬛⬜⬜⬜ ⬛🟥🟥🟥🟥🟥⬛⬛⬛🟧🏻🏻🏻⬛🏻🏻🟧⬛⬛⬛⬛⬛⬜⬜ ⬛🟥🟥⬛⬛⬛🟫🟧⬛🟧🏻🏻🏻⬛🏻🏻⬛🟧🏻🏻🏻🏻⬛⬜ ⬜⬛⬛🟧🏻🏻⬛🟧🟧⬛🏻🏻🏻🏻🏻🏻🟧🏻🏻🏻🏻🏻🟧⬛ ⬜⬛🟧🏻⬛🏻⬛🟫🟫⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧⬛ ⬜⬛🟧🏻⬛🟧🏻⬛⬛⬛🏻🟧⬛⬛⬛⬛⬛🟧🏻🏻🏻🟧⬛⬜ ⬜⬛🟧🏻🟧⬛🏻🟧🏻🏻🏻🟧⬛🟫🟫🟫🟫⬛🟧🟧🟧⬛⬜⬜ ⬜⬜⬛🟧🏻🏻🏻🟧🟧🏻🏻🟧⬛🟫🟫🟫🟫🟫⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬛🟧🟧🟧🟧🟧🟧⬛🟫🟫🟫🟫🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟧🟧🟧⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟦⬛⬛⬛⬛🟦⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥⬛🟦⬛🟥🟥⬛🟦⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛🟦⬛🟥🟥⬛🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛🟦🟦⬛🟥🟥⬛🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛🟥🟥⬛🟦🟦⬛⬛⬛🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽🌫️🌫️⬛⬛🟦🟦⬛🟨🟨⬛🟦🟦🟦🟨⬛⬜⬜⬜ ⬜⬜⬜⬛🏽🌫️🌫️🌫️🏽⬛🟦🟦⬛🟧🟨⬛🟦🟦🟦🟧⬛⬜⬜⬜ ⬜⬜⬛🏽🌫️🌫️🌫️🌫️🌫️🌫️⬛🟦🟦⬛⬛🟦🟦🟦🟦⬛🌫️⬛⬜⬜ ⬜⬜⬛🏽⬛🌫️⬛🌫️🌫️🏽⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛🏽⬛⬜⬜ ⬜⬜⬛🏽⬛🌫️⬛🌫️⬛⬛⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬜⬜ ⬜⬜⬛🏽🏽🌫️🌫️🌫️🌫️⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🏽⬛⬜⬜ ⬜⬜⬜⬛🏽🏽🏽🏽🏽⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟫🟫🟫🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟫🟫⬛⬛🟫🟫🟫🟫🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🟧🟧🟧🟧⬛🟫🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟫🟧🟧🟧🟧🟧🟧🟧🟫⬛🟫🟫🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟫🟫🟧🟧🟧🟧🟧🟫🟫⬛🟫🟫🟫🟫⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟫🟫🟫🟫🟫🟫🟫🟫🟫⬛🟨🟨🟨⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⣤⣤⣤⣶⣴⣶⣶⣦⣤⣄⣀ ⠀⠀⠀⠀⠀⠀⠀⣧⡏⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣻⣭⣽⡷⠟⠋⠉⠀⠀⣿⣿⣿⣿⡿⠏⠋ ⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⠀⣀⣠⣾⣷⠶⠶⠶⣶⣦⣤⣤⣄⣀⣴⣯⣯⠿⠛⠉⠀⠀⠀⠀⠀⠀⢀⡤⣾⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠯⣇⢔⡞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠿⠋⠀⠀⠀⠀⠀⣀⣀⡤⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠷⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣟⣀⣶⣖⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡶⣖⡄⠀⠉⠙⢿⡅⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣶⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⣻⡇⣿⣿⣀⣽⡆⠀⠀⠀⠀⠀⠀⠀⢰⣿⠉⢿⣷⠀⠀⠀⢸⡆⠀⠀⢀⣠⡾⠟⠟⠋⠉⠉⠀⠀⠀⠀⢠⡿ ⠀⠀⠀⠀⠀⢀⡟⠀⠹⠿⠿⠟⠁⠠⠴⠦⠀⠀⠀⠀⠻⣿⣿⣿⡿⠀⠀⠀⢹⡷⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡏ ⠀⠀⠀⠀⣠⣾⠿⣧⡀⠀⢤⣄⣀⣴⡟⠶⣤⣄⠀⠀⡀⠀⠉⠋⢁⣀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⠃ ⠀⠀⠀⠀⣿⡇⠀⠘⡇⠀⠀⢹⡾⠉⠀⠀⠀⠉⡭⡯⠋⠀⡤⣶⠟⠻⣷⢤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣾⢃⡎⠀ ⠀⠀⠀⠀⢯⣷⣤⡾⠇⠀⠀⠀⣷⠀⠀⠀⠀⢠⣿⠃⠀⠀⣿⣧⠀⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣗⣫⠥⡾ ⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⣿⣇⠀⠀⠀⣯⠏⠀⠀⠀⠀⠻⣷⣤⡶⠋⡟⠀⠀⢰⢾⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠈⠛⠶⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⢀⢤⣾⢻⣧⠀⠀⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡏⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⠵⠋⠸⡏⣎⣷⡈⢣⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣀⠀⠀⠉⠙⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣷⣴⠟⠁⠀⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡿⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡴⠾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣇⣠⣯⡽⣧⣇⣇⠀⠀⠀⠀⠀⠀⠀⢲⡇⡟⠀⠀⠀⠀⠀⠀⠀⢀⣷⣲⣽⢦⣄⣀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣼⣿⣿⠁⠀⠀⠉⢿⡀⠀⠀⠀⠀⠀⠀⢸⣷⡇⠀⠀⠀⠀⠀⠀⠀⣾⠋⠁⠀⠀⣰⢟⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠉⠁⣿⡄⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⣿⠁⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡆⠀⣏⡇⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⢸⠁⣼⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⡄⠈⡟⠀⠀⠀⠀⠀⠘⣾⡄⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⢀⡇⠀⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣧⣷⣀⣀⣀⠀⠀⠀⠘⣷⣄⣀⡀⢯⣧⠀⠀⠀⢀⡿⠃⠀⠀⠀⠀⠀⣿⡧⣧⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠀⠀⠈⠉⠉⠉⠙⠻⠿⠾⠾⠻⠓⢷⠶⡶⡿⠿⠛⠛⠓⠒⠒⡟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠸⣷⣦⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠀⠀⠀ ⠀⠙⣿⡄⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠉⣿⡿⠁⠀⠀⠀ ⠀⠀⠈⠣⡀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⣰⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⣄⠀⡈⠒⠊⠉⠁⠀⠈⠉⠑⠚⠀⠀⣀⠔⢊⣠⠤⠒⠊⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⡔⠊⠁⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⡇⢠⡤⢄⠀⠀⠀⠀⠀⡠⢤⣄⠀⡇⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⢀⠇⠹⠿⠟⠀⠀⠤⠀⠀⠻⠿⠟⠀⣇⠀⠀⡀⠠⠄⠒⠊⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠰⠤⠖⠦⠴⠀⢀⣶⣿⣿⠀⠙⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠿⡿⠛⢄⠀⠀⠱⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠈⠓⠦⠀⣀⣀⣀⠀⡠⠴⠊⠹⡞⣁⠤⠒⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⡌⠉⠉⡤⠀⠀⠀⠀⢻⠿⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠁⡀⠀⠀⠀⠀⢸⠀⢰⠃⠀⠀⠀⢠⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢶⣗⠧⡀⢳⠀⠀⠀⠀⢸⣀⣸⠀⠀⠀⢀⡜⠀⣸⢤⣶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣿⣦⣈⣧⡀⠀⠀⢸⣿⣿⠀⠀⢀⣼⡀⣨⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⠿⠿⠓⠄⠤⠘⠉⠙⠤⢀⠾⠿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣽⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢰⡶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠂⠁⠐⠀⠒⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣴⣄⠀⠉⠢⡔⠉⠀⠀⠀⠀⢱⡀⣀⠀⢀⡀⠤⠒⠒⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⠄⢺⠁⠀⠀⠀⠀⠀⢰⠁⠀⠉⠣⣤⣶⣿⡆⠈⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⢀⣆⡀⠀⠀⢰⡶⡈⣆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠁⠀⢸⠀⠀⠀⢀⣰⣶⠇⠀⠀⠀⠀⠈⣿⣿⡇⢰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠠⠀⠀⠀⠀⠀⠀⠀⢼⠀⢻⡀⠀⢸⡄⣿⠈⡄⠀⠀⠀⠀⠀⠀⠀⣸⣥⣴⣦⡲⡀⠀⠀⠐⣸⣤⣤⡤⣀⠀⠀⠀⠘⡿⢀⠎⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢁⡇⠀⠀⠀⠀⠀⠀⠀⢸⣷⣾⡇⠀⢸⣿⣿⠀⣻⠉⠑⣤⠤⢀⣀⣰⡏⣿⣇⣨⡟⡌⠑⠒⢩⣻⣿⣇⣸⠈⠀⠀⠀⠀⢧⠊⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠃⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡿⠀⢀⠻⠟⣤⡧⠠⢠⢱⡀⠀⠠⡛⢧⣩⣉⡿⣣⠃⠀⠀⠘⣎⣉⣩⠝⡰⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠰⠀⠀⠀⠀⠀⠀⠀⡸⠉⠀⠀⠀⠀⠀⠀⡴⣞⣶⠀⠀⠀⠘⠚⠀⠈⣩⡇⡑⣢⠏⠑⠢⢄⣡⠀⠈⠉⠉⠀⠦⠀⠠⠆⠈⠑⠒⠉⠀⠀⠀⢄⢀⠇⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⢰⢁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠄⡶⠵⠞⠁⠀⠀⠀⠀⠉⢧⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠈⢧⡐⢄⠢⣩⠟⣀⠠⢀⠀⠀⠀⠀⠀⠀⢀⢄⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠢⣔⠠⡀⠀⢳⠀⠀⠠⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣶⣿⡿⣿⣤⣇⣢⠘⡄⠒⡄⢆⣩⣶⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⡦⢀⣀⣀⡀⠀⣀⣀⠠⠖⢁⠑⢢⡤⠚⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣁⡿⣞⡷⣿⢿⣽⡻⠛⠉⠑⢷⣾⣿⢿⣯⡿⣞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⢈⠋⠉⠀⠀⠳⣄⠈⠀⠀⢱⠀⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣯⣟⣯⣿⡯⠟⠋⠀⠀⠀⠀⠘⣿⡾⣿⢯⡿⣽⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡀⡸⠀⠀⠀⠀⠀⠀⠉⠒⠒⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣯⢿⣁⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

___________________▄▄▄▀▀▀▀▀▀▀▄ _______________▄▀▀____▀▀▀▀▄____█ ___________▄▀▀__▀▀▀▀▀▀▄___▀▄___█ __________█▄▄▄▄▄▄_______▀▄__▀▄__█ _________█_________▀▄______█____█_█ ______▄█_____________▀▄_____▐___▐_▌ ______██_______________▀▄___▐_▄▀▀▀▄ ______█________██_______▌__▐▄▀______█ ______█_________█_______▌__▐▐________▐ _____▐__________▌_____▄▀▀▀__▌_______▐_____________▄▄▄▄▄▄ ______▌__________▀▀▀▀________▀▀▄▄▄▀______▄▄████▓▓▓▓▓▓▓███▄ ______▌____________________________▄▀__▄▄█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▄ ______▐__________________________▄▀_▄█▓▓▓▓▓▓▓▓▓▓_____▓▓____▓▓█▄ _______▌______________________▄▀_▄█▓▓▓▓▓▓▓▓▓▓▓____▓▓_▓▓_▓▓__▓▓█ _____▄▀▄_________________▄▀▀▌██▓▓▓▓▓▓▓▓▓▓▓▓▓__▓▓▓___▓▓_▓▓__▓▓█ ____▌____▀▀▀▄▄▄▄▄▄▄▄▀▀___▌█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓__▓________▓▓___▓▓▓█ _____▀▄_________________▄▀▀▓▓▓▓▓▓▓▓█████████████▄▄_____▓▓__▓▓▓█ _______█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓█▓▓▓▓▓██▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓██▄▄___▓▓▓▓▓█ _______█▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓█▓▓███▓▓▓▓████▓▓▓▓▓▓▓▓▓▓▓▓▓██▓▓▓▓▓▓█ ________█▓▓▓▓▓▓▓▓▓▓▓▓▓▓█▓█▓▓██░░███████░██▓▓▓▓▓▓▓▓▓▓██▓▓▓▓▓█ ________█▓▓▓▓▓▓▓▓▓▓▓▓▓▓██▓░░░░░█░░░░░██░░░░██▓▓▓▓▓▓▓▓▓██▓▓▓▓▌ ________█▓▓▓▓▓▓▓▓▓▓▓▓▓▓███░░░░░░░░____░██░░░░░░░██▓▓▓▓▓▓▓██▓▓▌ ________▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓██░░░░░░░________░░░░░░░░░██████▓▓▓▓▓█▓▌ ________▐▓▓▓▓▓▓▓▓▓▓▓▓▓▓██░░░░░░___▓▓▓▓▓░░░░░░░███░░███▓▓▓▓▓█▓▌ _________█▓▓▓▓▓▓▓▓▓▓▓▓▓██░░░░░___▓▓█▄▄▓░░░░░░░░___░░░░█▓▓▓▓▓█▓▌ _________█▓▓▓▓▓▓▓▓▓▓▓▓▓█░░█░░░___▓▓██░░░░░░░░▓▓▓▓__░░░░█▓▓▓▓██ _________█▓▓▓▓▓▓▓▓▓▓▓▓▓█░███░░____▓░░░░░░░░░░░█▄█▓__░░░░█▓▓█▓█ _________▐▓▓▓▓▓▓▓▓▓▓▓▓▓█░█████░░░░░░░░░░░░░░░░░█▓__░░░░███▓█ __________█▓▓▓▓▓▓▓▓▓▓▓▓█░░███████░░░░░░░░░░░░░░░▓_░░░░░██▓█ __________█▓▓▓▓▓▓▓▓▓▓▓▓█░░░███████░░░░░░░░░░░░░░_░░░░░██▓█ __________█▓▓▓▓▓▓▓▓▓▓▓▓█░░░███████░░░░░░░░░░░░░░░░░░░██▓█ ___________█▓▓▓▓▓▓▓▓▓▓▓▓█░░░░███████░░░░░░░░░░░█████░██░░░ ___________█▓▓▓▓▓▓▓▓▓▓▓▓█░░░░░░__███████░░░░░███████░░█░░░░ ___________█▓▓▓▓▓▓▓▓▓▓▓▓▓█░░░░░░█▄▄▄▀▀▀▀████████████░░█░░░░ ___________▐▓▓▓▓▓▓▓▓▓▓▓▓█░░░░░░██████▄__▀▀░░░███░░░░░█░░░ ___________▐▓▓▓▓▓▓▓▓▓▓▓█▒█░░░░░░▓▓▓▓▓███▄░░░░░░░░░░░░░░░______▄▄▄ ___________█▓▓▓▓▓▓▓▓▓█▒▒▒▒█░░░░░░▓▓▓▓▓█░░░░░░░░░░░░░░░▄▄▄_▄▀▀____▀▄ __________█▓▓▓▓▓▓▓▓▓█▒▒▒▒█▓▓░░░░░░░░░░░░░░░░░░░░░____▄▀____▀▄_________▀▄ _________█▓▓▓▓▓▓▓▓▓█▒▒▒▒█▓▓▓▓░░░░░░░░░░░░░░░░░______▐▄________█▄▄▀▀▀▄__█ ________█▓▓▓▓▓▓▓▓█▒▒▒▒▒▒█▓▓▓▓▓▓▓░░░░░░░░░____________█_█______▐_________▀▄▌ _______█▓▓▓▓▓▓▓▓█▒▒▒▒▒▒███▓▓▓▓▓▓▓▓▓▓▓█▒▒▄___________█__▀▄____█____▄▄▄____▐ ______█▓▓▓▓▓▓▓█_______▒▒█▒▒██▓▓▓▓▓▓▓▓▓▓█▒▒▒▄_________█____▀▀█▀▄▀▀▀___▀▀▄▄▐ _____█▓▓▓▓▓██▒_________▒█▒▒▒▒▒███▓▓▓▓▓▓█▒▒▒██________▐_______▀█_____________█ ____█▓▓████▒█▒_________▒█▒▒▒▒▒▒▒▒███████▒▒▒▒██_______█_______▐______▄▄▄_____█ __█▒██▒▒▒▒▒▒█▒▒____▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒____▒█▓█__▄█__█______▀▄▄▀▀____▀▀▄▄█ __█▒▒▒▒▒▒▒▒▒▒█▒▒▒████▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______█▓▓█▓▓▌_▐________▐____________▐ __█▒▒▒▒▒▒▒▒▒▒▒███▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒_______█▓▓▓█▓▌__▌_______▐_____▄▄____▐ _█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒_____█▓▓▓█▓▓▌__▌_______▀▄▄▀______▐ _█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒███████▓▓█▓▓▓▌__▀▄_______________▄▀ _█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒███▒▒▒▒▒▒▒██▓▓▓▓▓▌___▀▄_________▄▀▀ █▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██▒▒▒▒▒▒▒▒▒▒▒▒▒█▓▓▓▓▓▀▄__▀▄▄█▀▀▀ █▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██▓▓▓▓██▄▄▄▀ █▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒████ █▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ _█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▄▄▄▄▄ _█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒███▒▒▒▒▒▒██▄▄ __█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒███▒▒▒▒▒▒▒▒▒▒▒▒▒█▄ __█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ __█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒█▒▒▒▒▒▒▒▒▒██▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ ___█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▒▒▒▒█▒▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▒▒▒▒░░░░▒▒▒▒▒▒▌ ____█▒▒▒▒▒▒▒▒▒▒▒▒▒██▒▒▒▒▒▒▒█▒▒▒▒█▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒░░░░░░░░░░░░░▒▒▌ ____█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█████████████▒▒▒▒▒█▒▒▒▒▒▒▒▒░░░░▒▒▒▒▒▒▒▒▒▒▒░▒▌ _____█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______▐▒▒▒▒█▒▒▒▒▒▒▒░░░▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▌ ______█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█________█▒▒█▒▒▒▒▒▒░░░▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▌ _______█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█________█▒█▒▒▒▒▒▒░░░▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▌ ________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█________█▒▒▒▒▒▒░░▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ _________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█________█▒▒▒▒░░▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ _________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█________█▒▒▒░░░░░░░▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▀ __________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______█▒░░░▒▒▒▒▒░░░░░░░░▒▒▒█▀▀▀ ___________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______█░▒▒▒▒▒▒▒▒▒▒▒▒▒░░░░█▀ ____________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█▀ _____________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______█▒▒▒▒▒▒▒▒▒▒▒▒█▀ _____________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█_______▀▀▀███████▀▀ ______________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ _______________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ ________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ _________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ __________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒██▒█ ___________________█▒▒▒▒▒▒▒▒▒▒▒▒▒██▒▒▒▒█ ___________________█▒▒▒▒▒▒▒▒████▒▒▒▒▒▒▒█ ___________________█████████▒▒▒▒▒▒▒▒▒▒▒█ ____________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ ____________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒█ _____________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▌ _____________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒░▌ ______________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒░░▌ _______________________█▒▒▒▒▒▒▒▒▒▒▒▒▒▒░░█ ________________________█▒▒▒▒▒▒▒▒▒▒▒░░░█ __________________________██▒▒▒▒▒▒░░░█▀ _____________________________█░░░░░█▀ _______________________________▀▀▀▀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠶⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠾⠷⠶⠶⣤⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠾⢁⣤⣴⣶⣶⣶⣶⣦⣤⡉⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⢡⠞⠻⣿⣿⡿⢻⣿⣿⣿⣿⡿⠃⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⢡⣿⠀⠀⣿⡟⠀⠀⣿⣿⣿⣿⣇⠀⠀⡀⢻⣆⣤⠶⠒⠒⠶⣤⡀ ⠀⠀⠀⠀⣿⣾⣿⣄⣴⣿⣷⡀⣠⣿⣿⣿⣿⣿⣿⣿⣷⠘⣿⠧⣤⠻⠽⠂⢈⣿ ⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⡛⠛⣴⣲⠄⢸⡇ ⢰⡟⠁⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⡿⠙⢿⣦⣤⣤⣤⠾⠃ ⢸⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣵⠟⠀⠀⣼⠃⠀⠀⠀⠀⠀ ⠈⠻⣆⠀⠀⠀⠀⠀⣻⠾⢿⣿⣛⣛⣻⣯⣵⡾⠛⠁⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠷⣄⣀⣀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀

⠈⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⣿⠈⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⡶⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⡄⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠚⠉⠀⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⡧⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠉⠀⠀⠀⠀⢠⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⡖⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠉⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢢⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⢀⣠⠤⠴⠒⠒⠒⠒⠒⠒⠒⠲⠤⢤⣀⡀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢀⣀⣠⠤⠔⠒⠉⠉⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠈⠳⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠉⠀⠀⣀⡤⠔⠚⠉⠁⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢄⣀⢀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣠⠴⠚⠁⢀⣠⠴⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⣤⠔⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⢼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⣾⣿⢉⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢹⣿⣦⡀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠸⣿⣿⣷⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣶⣿⣿⡿⠀⠀⠐⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠖⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠈⠛⠛⠋⠁⠀⠀⠀⢻⡀⠀⠀⠀⣀⣀⣀⡤⠤⠒⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠿⣿⢶⣄⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⣴⣶⣶⣾⡇⠀⠀⠘⢫⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⢿⣝⣯⢿⣆⠀⠀⠀⠀⠙⠒⠒⠋⠉⠈⠙⠒⠒⠋⠀⠀⠀⠀⣰⣿⣻⢮⡷⢯⡗⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⢮⣻⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⢷⣯⣟⣿⠃⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⢷⢾⡿⠉⠓⠦⣄⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠻⡁⠀⣀⠴⠋⠁⠀⠀⠀⢀⣀⡤⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠈⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⣷⠋⠁⠀⠀⣀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠁⠈⠲⠶⣦⡄⣀⠤⠤⠀⢐⠛⠁⠀⠀⠀⠀⠀⠀⠹⡄⢀⢦⣻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣮⣟⣽⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡃⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⢺⠛⠢⣼⠁⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠃⠀⠀⠀⠀⡇⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⢯⡳⡀⠈⠑⢆⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⣀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢀⡴⠛⢉⣼⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⡽⠘⠓⢦⣀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣸⠂⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠴⣋⡠⠔⣺⣻⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡀⠀⠈⠳⣄⠀⢀⠹⣄⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⢠⡞⠄⠀⠀⣠⠞⠁⢀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢖⡂⡀⠈⠁⢿⠀⠙⢦⡀⠀⠀⠀⠀⠀⣼⣄⣦⣴⣥⡷⠀⠀⠀⠀⠀⣠⠋⠀⣄⠑⠘⠁⢀⣠⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣖⣢⡾⠾⠴⠚⢳⣦⣠⣤⡶⠶⠛⠀⠀⠀⠘⠲⡤⣄⣀⣀⡞⠳⢤⣶⡏⣀⣠⡷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜ ⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬛🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥⬛ ⬛🟥🟥🟥🟥⬛⬜⬜⬛🟥🟥🟥🟥⬛ ⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ POKEMON GO

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠂⠀⠀⠀⠀ ⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⢸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠛⠿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡆⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠙⠃⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠦⢤⣄⣀⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢠⡟⠁⢀⠀⠀⣀⣤⠶⠒⠲⢦⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠈⠛⢿⣶⣤⡀⠀⠙⢧⡀⣀⣤⠖⠋⠁⠀⠀⠀⡇⠀⠀⠀⣀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⠀⠀⢀⢭⣭⣛⡒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⢠⣏⣴⠞⠉⠀⠀⠀⠀⠀⠈⠻⡆ ⠀⠀⠀⠀⢀⡴⠞⠋⠉⠀⠈⢉⣻⠶⣤⡀⠀⠙⢯⡻⡄⠀⠈⢻⡉⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⠀⠀⠀⠀⠀⠘⠃⠈⠀⠀⠈⠉⠙⠓⠲⠀⠀⣀⣤⡤⠤⠤⣤⣤⣀⡀⠀⠀⣼⠃⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⢀⡟⠁⠀⠀⠀⣠⡴⠛⠁⠀⠀⠻⡄⠀⠈⢿⣻⡀⠀⠈⣧⠀⠀⠀⠀⢀⡴⠞⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠉⠙⠳⣦⡟⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⣿⡇⠀⠀⣿⠀⢀⣤⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠀⠀⠀⠀⠐⠻⢿⣟⡲⢤⣀⠀⠀⠁⠀⠀⡇⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀ ⠀⠀⠀⢸⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⡴⠋⠀⣀⣠⡤⠴⠦⢤⣄⠀⠀⠈⠙⢦⡍⢳⡄⠀⠀⠀⡇⠀⠀⠠⠞⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠉⡇⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⣀⣐⡂⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⡞⠁⢠⡞⠉⠀⠀⣀⡴⠞⠋⠀⠀⠀⠀⠀⠙⣦⢻⡄⠀⠀⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⢸⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠉⠉⠛⠒⠶⢤⣄⠀⠀⠘⡾⠁⢀⡟⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⢰⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠄⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡍⣹⣿⣿⣿⣿⠿⣿⣶⣦⣤⣀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠸⢤⡄⢸⡇⠀⢸⣷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⡇⠀⠀⠀⣀⠀⠀⣹⣶⣿⣿⡿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡛⠿⢿⣿⣿⣿⣷⣶⣶⣤⣤⣀⠀⠃⢸⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠠⠞⠋⠀⠀⠀⠀⡇⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⡇⠀⠀⣃⣹⣴⣾⣿⡿⢿⣿⣿⣿⠟⢿⣿⠟⠀⠀⢿⣿⣷⣾⣿⣿⣇⣠⣿⣿⡿⠋⠛⣿⣿⣿⣄⣀⣈⣙⣿⣿⣶⣌⡉⠛⠻⠿⣷⣾⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡆⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⣀⡴⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣾⠛⠉⠀⠀⠀⠀⠀⣿⣴⣾⣿⣿⡿⣻⣩⣴⣾⣿⣿⣶⣶⣶⣶⣶⣶⣶⣤⣤⣌⣙⡛⠿⢿⣿⡿⠟⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⢿⣿⣶⣄⡀⠀⠉⠛⢿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡇⠀⠀⣿⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣷⣦⣤⣀⠀⢸⣿⣿⡿⠋⠉⠉⠉⠀⠀⠀⠀⢀⣼⣿⣿⡿⠿⣿⣦⣄⠈⠛⢿⣷⣤⡀⠀⣠⡴⠟⠁⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣷⠀⠀⠀⣠⣿⡿⢹⣿⣿⢿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⢿⣿⣿⣿⣶⣭⣉⠁⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⣿⠞⠛⠻⢿⣿⣷⣶⣶⣬⣿⣿⣾⣉⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀ ⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡄⠀⠀⣿⣤⠶⣿⣿⠋⣠⣾⢟⠿⣿⣿⡿⠋⣀⣀⣠⣤⠤⠤⠤⠤⠤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣦⣄⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠉⣻⣿⣿⠿⠻⠿⢿⣿⣦⣤⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡆⠀⠀⣿⡇⠀⠀⠉⠀⣼⡿⢁⣼⡿⣳⣯⣾⣿⡿⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠓⠶⢤⣀⡀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣷⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣾⣿⠿⠿⣿⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠸⡇⠀⠀⣁⡇⠀⠀⣤⣸⣿⢡⣿⡿⢿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠶⣤⡀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⢹⣿⠁⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣶⣄⡀⠛⡀⠀⠀⣧⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⠀⠀⠀⠀⠀⠀⢠⣶⣟⣁⠀⠀⠀⢸⡇⠀⠀⠿⠃⠀⠀⣿⣿⢧⣿⡟⣰⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣦⡀⠀⠀⢀⣴⣿⣿⢿⡏⣴⣿⠟⠀⢀⣀⣀⣀⡀⠀⠀⣀⣴⣾⠛⢿⣿⣦⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠛⠂⠀⠤⠄⢀⠀⠈⠉⠉⠛⠲⠞⠁⠀⠀⣄⣀⣠⡼⢻⣿⣾⡟⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣴⣿⣿⠟⠁⣨⣿⠟⠁⢠⡾⢋⡿⠉⠉⠉⠙⠻⣯⡾⠃⠀⠀⠙⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠛⠲⠶⢤⣤⣀⣠⡾⠉⠉⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⢸⡀⠸⣄⠀⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⣸⣿⢉⡴⠊⢻⣿⠟⠀⠀⠀⠀⠀⠸⣇⠀⠙⠦⡤⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⢀⣿⡏⣾⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣿⡇⣟⠀⠀⣿⡟⢀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⣿⡇⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣷⣶⣦⣤⣤⣄⣀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⢿⡀⢀⣿⣿⡿⠇⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⣠⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠋⠉⣿⠀⠈⠉⠉⠙⠛⠻⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⢀⡿⠚⣿⣿⣇⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⣤⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⣠⡶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠻⠶⠶⠋⠀⠀⠀⠀⠀⠀⢀⣈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⠈⠳⠶⠿⣿⣿⠷⣆⣤⡄⠘⣧⣀⠀⠀⠀⠀⠀⡀⠀⠀⠐⠛⠋⠀⠀⣰⡯⡌⢸⣿⠋⠙⠛⠲⠶⠴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀⠀⠀⢻⣿⣯⣿⣧⠒⢂⡈⠟⠛⡛⢛⣛⣻⣿⣦⣤⣤⣄⡀⢀⣴⠟⠀⢀⣿⡟⠂⠀⠀⢦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠁⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡄⠀⠀⠀⠻⣿⣿⡿⣿⣿⣿⣷⣆⣴⣿⠿⠟⠛⠉⠙⠛⠛⢿⣿⣯⡀⢠⣾⣿⠃⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⡆⠘⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣆⠀⠀⠀⠙⢿⣿⣦⣐⢩⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⡟⠴⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡅⠀⠀⠈⠛⠳⢦⣤⣤⣤⣤⡴⠟⢫⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠻⣿⣷⣄⠀⠀⠀⠙⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡿⠡⠤⣤⣀⡀⠉⠉⠛⠲⠦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠙⣿⣿⣷⣤⣀⣀⣈⣴⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠈⠉⠙⠳⠦⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⣀⣸⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣷⣿⠿⠿⠟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡶⠶⠤⣤⣀⠀⠀⠀⠀⠉⠳⣦⡀⠀ ⠀⠀⠀⠀⠴⠚⠋⠁⢈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⣄⠀⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠈⣻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠙⠛⣶⠈⢻⠀⠀⠀⠀⠀⠈⠓⠀ ⠀⠀⠀⠀⣀⣤⠶⠛⠉⠹⣿⣇⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⣾⣿⠏⣿⣆⠀⠀⠀⠀⠀⠀⢸⣿⡏⠉⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠰⢤⣄⠀⠀⠀⢀⣴⣾⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⢻⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⢀⡴⠋⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡴⠛⠉⠀⠀⢀⡴⠟⣹⣿⣧⡀⠀⠀⠀⠀⠠⠀⣶⡆⢰⣿⣿⠟⠉⠿⠆⠀⠀⠀⠀⠀⠀⢿⣧⣀⡀⣰⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠙⠃⢀⣴⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠓⠶⢤⣤⣤⣤⠶⣿⣿⣣⡇⠈⢷⡄⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⣴⠏⢠⣾⣽⠞⢿⣷⣄⠀⠀⠀⠰⠀⣉⢿⣾⣿⠋⠀⠀⠀⠀⠀⠀⠐⠐⣛⡀⠀⠘⠛⠛⠛⠋⢠⣴⣶⣦⣄⠀⠀⠘⣿⣦⣤⠀⣤⣾⠇⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡀⠀⠀⠀⠀⢀⣴⣿⠯⠭⠤⠤⠾⢃⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⢰⡏⣾⠁⠀⠀⠻⣿⣷⣄⠀⡄⢀⣰⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣽⠷⠦⣤⣄⡀⠀⠘⢿⣿⠛⣿⡆⠀⠀⠈⠛⠻⠟⠛⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣴⣿⠟⠓⠒⠒⠒⠒⠚⠋⠁⠀⠀⠀⠀⠀⢀⡄⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⢸⡅⣧⠀⠀⠀⠐⣎⠻⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣶⡄⠘⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣤⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣆⠈⢷⡹⣦⠀⠀⠀⠙⢧⣄⠙⠻⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠻⣦⡀⠀⠀⠙⢧⣀⠛⢮⣷⣦⡀⠀⠀⠈⠛⠲⠾⣧⣍⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠶⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠉⠀⠀⢀⠀⠀⠀ ⠀⠀⠈⠙⢦⣄⡀⠀⠙⠳⢤⣉⠛⠿⣷⣦⣤⣄⣀⡀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠿⢲⣿⠏⠳⠶⠦⢤⣤⣀⣀⣀⣀⣀⣀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⣶⣦⣭⣙⡓⠶⣤⣀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠰⣏⠀⠀⠀ ⠛⢦⣄⠀⠀⠈⠛⠦⣄⡀⠀⠉⠙⠳⠶⣭⣍⣛⡛⠿⠿⠷⠤⠌⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⢀⣼⣿⣀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⣁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣄⣀⠀⠀⠉⠙⠻⢿⣷⣦⣙⠳⢦⡀⠀⠀⠈⢧⠀⠀⠀⠙⠀⠀⠀ ⠀⠀⠉⠛⠦⣄⡀⠀⠈⠙⠳⢤⣄⡀⠀⠀⠀⠈⠉⠙⠛⠛⠒⠒⠒⠿⣿⣿⣛⠒⠒⠒⠒⠒⠛⠉⠀⠀⢀⣠⣾⡿⠛⠻⠿⣿⣶⣶⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠛⠈⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⡀⠀⠉⢙⡳⢦⣀⠀⠀⠈⠻⢿⡳⣄⠙⢧⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠳⢦⣀⡀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠻⢿⣷⣶⣤⣤⣤⣤⣴⣶⣾⣿⠿⠋⠀⠀⢀⣀⣀⣈⡽⠛⠛⠿⠿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣌⡉⠛⢦⡀⠁⠀⠙⢷⡀⠀⠀⠈⢻⡜⢷⠀⢻⡄⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣦⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠾⠋⠉⠉⠙⠓⠺⠯⣭⣍⣉⡉⠉⠉⣿⣿⡁⠀⠀⣨⡟⣿⠉⠉⠀⠀⠀⠀⠀⣴⡃⠀⠈⠉⠉⠉⠭⣍⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠈⢻⠀⠀⢻⡀⠀⠀⠀⣿⠀⠀⠀⠀⢿⠘⡇⠀⢻⠀⠀⢸⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⢻⠀⠀⢠⡶⠒⠀⠀⠀⠀⣀⡀⠀⠀⠀⣨⠭⢉⠛⠒⠾⠷⣯⣉⡿⠿⠛⠁⠀⠀⠀⠀⢀⣴⣶⡿⠁⠤⠒⣲⣤⠤⠶⠋⠀⠈⠻⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣁⣀⣀⣤⠶⠋⢀⣰⠟⠁⠀⠀⢀⡿⠀⠀⠀⠀⣾⢠⡇⠀⣾⠀⠀⠀⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⢸⡄⠀⠘⠳⠶⢤⣄⣀⡀⠀⠉⠓⣦⣾⢧⣾⢉⡁⠀⠀⠀⣀⣼⠇⠀⠀⠀⠀⠀⣀⣀⡸⣿⣻⣄⣠⣤⣼⣧⡟⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣷⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠠⠤⣤⣤⡤⠤⠶⠞⠋⠁⠀⠀⣀⡴⠋⠀⠀⠀⢀⡾⣡⡟⠀⣴⠇⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠶⢦⣤⣌⣁⠀⠁⠀⢀⣰⠌⠁⠀⠀⠀⠀⠀⣾⠉⠉⠉⠛⠻⠷⢿⣯⣉⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣝⠛⢻⣟⡛⢛⡛⠛⠛⠉⠛⠳⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⠀⠀⢀⣠⠶⣫⡾⠋⣠⡾⠁⠀⠀⠀⢀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠚⠛⠁⠀⠀⠀⠀⣠⠶⠞⠁⠀⣄⢀⡴⢋⡴⠖⠠⡄⠉⠉⠛⠲⠶⢦⣄⣀⡀⠀⠀⠀⠀⠉⠳⢦⣌⡙⠻⢿⣷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⡻⠷⢛⣡⡴⠟⠁⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠹⣆⠀⢀⣴⡖⢒⣦⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠦⣤⣄⣈⠛⠳⠿⠦⠤⠄⠄⢀⡀⠀⠀⠀⠀⢀⣨⡿⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⢤⣭⣙⣛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠙⣶⡟⠉⠛⠛⠹⢧⣤⣉⣉⢛⣓⣀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠲⠶⢤⣄⣀⡈⠙⠓⢤⡴⢳⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡄⠀⠀⠈⠻⣏⡀⠀⠀⠀⠀⠈⠉⠉⠻⣄⣀⣀⣀⣼⡟⠓⠲⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠈⠛⢦⣄⡀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠉⠛⠒⠦⠤⠟⣶⣀⣐⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠈⠉⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⣶⣿⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀ ⢀⣤⣶⣦⣤⣤⣄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠀⠀⣾⠏⠈⣿⣿⣿⡟⠀⠀⠀⠀⢀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⣿⠀⠀⠹⣿⣿⠇⠀⠀⠀⠀⣿⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠄ ⠀⠀⣿⡇⠀⣼⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⢻⣿⡆⠀⠀⠀⠀⠀⠘⣿⡿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣸⣧⣬⣿⣇⣀⡀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠃⠀⠀

⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜⬜ ⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜ ⬜🟫🟫🟫🟧🟧🟫🟧⬜⬜⬜ 🟫🟧🟫🟧🟧🟧🟫🟧🟧🟧⬜ 🟫🟧🟫🟫🟧🟧🟧🟫🟧🟧🟧 🟫🟫🟧🟧🟧🟧🟫🟫🟫🟫⬜ ⬜⬜🟧🟧🟧🟧🟧🟧🟧⬜⬜ 🦺 👖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣄⡠⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣏⣸⣿⣿⡿⠃⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠾⠛⣉⣉⣉⣡⣤⡄⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣭⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢡⣶⣿⣿⣿⣿⡿⠿⠁⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣶⡄⢦⣬⣙⠛⠛⢋⣡⣴⠞⣦⣌⠚⢶⣶⣶⣾⡿⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣀⠠⠄⢌⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢭⣿⣟⣿⣯⣭⣶⣿⣿⣿⣷⣄⠙⣿⡿⢁⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⢠⣄⢰⡄⣘⡰⣤⢀⢀⢠⠀⠤⣶⡇ ⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠁⣼⣿⡿⠀⠀⠀⠀⠀⡀⡀⣠⠠⡄⢒⡎⢷⡘⣧⠹⠆⠟⠈⢟⢐⣃⠤⡄⡤⠐⠉⠈⠀⢡ ⠀⠀⠀⠀⠀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠠⠺⠝⡋⢅⠀⠀⢀⠰⣶⢸⣇⢩⠆⠿⠈⢁⣀⣤⡀⠁⣀⣄⠀⢈⠑⢟⠉⠆⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡙⠿⠟⠟⠛⠉⣁⡀⢐⣂⣡⠐⢛⣀⡀⣰⣶⠂⢉⡑⣠⠄⠀⣠⣾⣿⣿⣿⣿⠀⢻⣿⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠃⢰⣿⣿⣿⣿⣿⣿⡿⠿⢟⢛⣙⠋⠅⢑⣶⡤⠷⠒⣚⣉⣭⣤⣾⣥⠷⠾⢛⡋⠁⠀⠋⠇⠘⠇⠀⣠⣾⣿⣿⣿⣿⣿⠟⢀⣾⠏⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⢀⣿⣿⣿⣿⣿⡍⠀⠈⠤⠴⢟⣛⣋⣭⣥⣶⣶⣿⠟⡛⣛⡋⠥⠅⡶⣾⣛⣿⣧⡄⢀⣀⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣾⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣶⣿⡿⠿⠟⠉⠉⢠⢠⠠⣴⣾⣿⣿⠿⠿⢛⡛⠩⣌⠈⠀⠈⢶⢸⠧⢸⢟⠻⠂⠛⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣬⣭⣅⣤⣾⠖⠒⠐⠉⠈⣄⠁⠁⣉⣐⣢⣼⣿⢦⣸⣛⣬⡑⢰⠐⣿⡄⠒⠀⣦⣤⣛⡎⡌⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠏⣁⢡⣬⣴⣤⣤⡈⠶⢀⣯⣋⠛⠛⢁⣤⣀⠀⠛⠿⣂⡉⠉⣧⢹⣧⢸⣿⡿⠿⠒⢙⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡭⠽⢓⣲⣥⣾⣿⠀⣿⣿⣿⣿⣿⣦⣁⠉⠀⣀⣴⣿⣿⣿⠀⣐⡆⠸⣿⡧⠹⡌⠻⠂⢁⣠⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⢀⢸⣃⣄⢠⣴⣾⣿⣿⣿⣿⣎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡜⢸⣿⣿⠊⣿⣿⣿⣿⣿⣿⣿⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⣿⠀⠘⣿⣿⡹⣿⣿⣿⣷⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢁⣴⣿⣿⣿⣿⠀⠀⢻⡿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡉⠉⠛⠛⢋⣉⣠⣴⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⢳⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⡿⢟⡭⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⢹⢏⠽⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⠿⠻⠿⠿⣿⠿⡿⠟⠉⢀⡀⠶⢿⡀⠈⠑⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⡀⠈⠋⠛⠛⠛⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢴⢿⣶⣦⣀⠈⠓⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⠿⠿⠿⠿⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣤⣄⠀⠀⠀⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⠾⠿⠗⠒⠒⠈⠙⠻⢶⣤⣄⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣴⣶⣤⣤⣤⣤⠀⣠⣴⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣶⠘⣿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⢠⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣴⣾⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣀⡄⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⡴⠖⠛⠉⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣦⣤⡀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢀⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣠⣿⣿⡇⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡞⢻⣇⠀⣴⣿⣿⡋⣻⡇⠀⠀⠀⢠⣤⡶⠀⠀⠀⠀⠘⣿⣿⣿⡿⠃⠀⠈⢿⡄⠀⠀⠀⢀⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠿⠛⠉⠁⠀⠀⣿⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⣀⠋⠉⠀⢀⣴⣶⣾⣿⢀⣠⣶⣿⣿⣷⣧⣆⣠ ⠀⠀⠀⠀⠀⢀⣠⣤⣶⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠿⢀⡈⠛⠛⠛⠁⠀⠀⠀⢀⣰⣿⣷⣶⣦⣴⠖⠚⠉⠀⠀⠀⣿⣿⣿⣿⣿⠘⠋⠁⢸⣿⣿⣿⣿⠏ ⠀⢠⣤⣶⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⡄⠀⠀⠘⠛⣿⣿⠛⠉⠉⠉⠙⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠈⠉⠁⣿⡟⠀ ⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠘⠻⠿⣋⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀ ⠀⠀⠸⣟⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡛⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠙⢦⡀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀ ⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⠋⣿⡷⠀⠻⢯⣁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣼⠇⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀ ⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⢀⣠⣴⣾⠟⠋⠁⠀⢰⣿⡇⠀⠀⢷⡌⠓⠦⢤⣀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠐⠛⠁⠀⠰⣾⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣷⣀⣠⣴⣾⣿⠟⠋⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⢸⡇⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⣼⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣄⡀⠀⢸⠃⠀⠀⠀⠀⠀⠰⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠧⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠶⣷⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣴⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⢀⣠⣾⡇⠀⠀⠀⠀⠈⠛⢷⣦⡀⠀⠀⢠⣤⣤⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⢽⣽⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣷⢶⣬⡛⠃⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣤⣼⣿⣿⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⠋⠀⠀⢈⣾⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡝⠦⠉⠻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣠⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠃⢀⣠⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⢀⡀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣴⠶⠶⠶⠶⠶⠶⠦⠤⢸⣿⣷⣶⡿⠋⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠙⢿⣷⣄⣘⣷⠀⠴⠶⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢁⣠⣶⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠉⠻⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⢟⣃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣦⣄⠀⠀⠀⣀⣤⣶⣿⣿⡿⠟⠉⠀⢸⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⣛⣛⡻⢿⣷⣶⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣿⣿⠃⣾⣿⣿⣿⠀⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠻⢿⣿⠟⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠙⠻⢿⣷⣶⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣦⣄⣀⣀⣀⣀⣀⣀⣀⣤⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

ϞϞ (๑⚈ ․̫ ⚈๑)∩♡

█████ █████████ ███▓▓█▓ █▓█▓▓▓█▓▓▓ █▓██▓▓▓█▓▓▓ ██▓▓▓▓████ ▓▓▓▓▓▓▓ ██▓███ ███▓██▓███ ████▓▓▓▓████ ▓▓█▓█▓▓█▓█▓▓ ▓▓▓█▓▓▓▓█▓▓▓ ▓▓█▓▓▓▓▓▓█▓▓ ▓▓▓ ▓▓▓ ████ ████ █████ █████

⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🌫️🌫️🌫️🌫️🌫️🌫️⬜ ⬜🌫️🟩🟩🟩🟩🌫️⬜ ⬜🌫️🟩🟩🟩🟩🌫️⬜ ⬜🌫️🟩🟩🟩🟩🌫️⬜ ⬜🌫️🟩🟩🟩🟩🌫️⬜ ⬜🌫️🌫️🌫️🌫️🌫️🌫️⬜ ⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬜⬜⬜🔴⬜ ⬜⬛⬛⬛⬜🔴⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜

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

⠀⠀⠀⠀⣠⡤⠖⠛⠉⠉⠉⠙⠒⠦⣄⠀⠀⠀⠀ ⠀⠀⣠⡾⠛⠉⠙⢲⣴⠚⠉⠉⠛⠦⡈⠓⣄⠀⠀ ⠀⣼⠟⢀⣠⡀⣰⠋⠉⣆⠀⣠⡀⠀⠘⣆⠈⢧⠀ ⢸⡟⠀⣼⣿⣷⡇⠀⠀⢸⢰⣿⣿⡄⠀⢹⠀⠘⡇ ⡟⢷⠀⠹⣿⠟⢷⣦⣴⣾⠘⢿⡿⠁⠀⣾⠀⠀⢹ ⡇⠘⢧⡀⠀⠀⠘⢿⣟⠁⠀⠀⠀⢀⡼⠃⠀⠀⢸ ⣧⠀⠀⠉⢓⣶⣞⡉⠈⣹⣶⣶⠒⠋⠀⠀⠀⢀⣼ ⢹⣷⣠⣾⣿⣿⣿⣿⣾⣿⣿⣿⣿⣦⣤⣶⣶⣿⡿ ⠀⢻⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠃ ⠀⠀⠙⢿⡀⠂⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⡿⠃⠀ ⠀⠀⠀⢀⣽⣷⣤⣤⣴⡶⠦⣤⣤⣴⣿⡁⠀⠀⠀ ⠀⠀⠀⢸⠟⣿⡿⠋⠁⠀⠐⣿⠟⠻⣿⠃⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥⬜⬜🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟥🟥🟥⬜⬜⬜⬜🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬛🟥🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥🟥⬛⬜⬜ ⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛🟥🟥⬛⬜⬜ ⬜⬜⬛🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟥⬛⬜⬜ ⬜⬜⬛🟥⬛⬛⬜⬜🏻🏻⬜⬜⬛⬛🟥⬛⬜⬜ ⬜⬜⬛⬛🏻🏻⬜⬛🏻🏻⬛⬜🏻🏻⬛⬛⬜⬜ ⬜⬛🏻⬛🏻🏻⬜⬛🏻🏻⬛⬜🏻🏻⬛🏻⬛⬜ ⬜⬛🏻⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛🏻⬛⬜ ⬜⬜⬛⬛🏻⬛⬛🏻🏻🏻🏻⬛⬛🏻⬛⬛⬜⬜ ⬜⬜⬜⬛🏻⬛⬛⬛⬛⬛⬛⬛⬛🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🏻⬛⬛⬛⬛⬛⬛🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛🟥⬛⬛⬛⬛⬛⬛🟥⬛⬛⬛⬜⬜ ⬜⬛🟥🟥🟥🟥🟦🟦🟥🟥🟦🟦🟥🟥🟥🟥⬛⬜ ⬛🟥⬛⬛🟥🟥🟨🟨🟥🟥🟨🟨🟥🟥⬛⬛🟥⬛ ⬜⬛⬜⬜⬛🟦🟨🟨🟦🟦🟨🟨🟦⬛⬜⬜⬛⬜ ⬛⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬛ ⬜⬛⬛⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬛⬜ ⬜⬜⬜⬛🟦🟦🟦⬛⬛⬛⬛🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬛🟫🟫🟫🟫⬛⬜⬜⬛🟫🟫🟫🟫⬛⬜⬜ ⬜⬛🟫🟫🟫🟫🟫⬛⬜⬜⬛🟫🟫🟫🟫🟫⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜

➖➖➖🟧➖🟧🟧➖🟧 ➖➖➖🟧🟧🟧🟧🟧🟧 ➖➖🟥🟥🟥🟥🟥🟥🟥🟥 ➖🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 ➖➖🟥🟥🟥🟧⬛️🟧🟥🟥🟥🟥 ➖➖➖🟥🟧🟧⬛️🟧🟧🟥🟧🟥 ➖➖🟧🟧🟧🟧🟧🟧🟧🟥🟧🟥🟥 ➖➖➖🟧🟧🟧🟧🟧🟧🟧🟧🟥🟥 ➖➖🟧🟥🟥🟥🟧🟧🟧🟧🟧🟥🟥 ➖➖🟧🟥🟥🟧🟧🟧🟧🟥🟥🟥🟥 ➖➖➖🟧🟧🟧🟧🟧🟧🟥🟥🟥🟥 ➖➖➖🟥🟥⬜️🟧🟧🟥⬜️🟥🟥🟥 ➖➖🟥🟥⬜️🟧🟧⬜️⬜️⬜️⬜️🟥🟥 ➖➖🟥🟧⬜️⬜️⬜️⬜️🟧🟧⬜️🟥🟥 ➖🟧🟧🟧🟧🟧🟧🟧🟧🟧⬜️🟥🟥 ➖➖🟧🟧🟧🟧🟧🟧🟧⬜️🟥🟥🟥 ➖➖➖➖🟥🟥⬜️⬜️⬜️⬜️🟥🟥 ➖➖➖⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️ ➖➖⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️ ➖➖⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️ ➖⬜️⬜️⬜️⬜️🟥🟥🟥🟥🟥🟥⬜️⬜️⬜️⬜️ ➖🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 ➖🟥🟥🟥🟥🟥⬜️⬜️⬜️⬜️🟥🟥🟥🟥🟥 ⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠠⠤⠄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠊⠁⠀⠀⠀⠀⠠⣈⣒⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢧⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⠀⠀⣀⡀⠀⠀⠠⠎⠀⣠⠖⢡⡃⠔⡆⠀⠀⠀⠀⠀⢸⠀⠀⠀⡀⠤⠀⠀⠀⠀⠀⠀⠀⢠⠸⡀ ⠀⠀⠀⢀⠀⢀⡀⠀⠀⠀⡇⡀⢣⡀⠇⠙⣄⠔⠁⣠⠞⠁⡰⠋⠀⠀⠗⢻⠀⢀⠀⠤⠤⠇⠀⢎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇ ⠀⠀⠀⢸⠑⠾⡍⠲⢄⠀⡟⠛⡑⠿⡠⠖⠁⣠⠞⠁⢀⠔⠀⠀⠀⢠⣀⠞⡞⠁⠀⠀⠀⠀⠀⠀⠉⢢⠀⠀⠀⠀⠀⠀⠀⠘⠀⡇ ⠀⠀⠀⠀⣼⢆⠚⠢⠀⢈⡂⡀⠱⡀⠱⡤⠮⢉⡖⠊⠏⠀⠀⠐⠊⠁⠀⢀⠁⠀⠀⠀⠀⢰⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⢀⡇⢠⠃ ⠀⠀⠀⠀⢣⢣⢑⡄⠀⠁⠃⠁⠀⠁⠀⠀⠀⠀⠀⢉⡲⠄⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠆⠀⠀⠀⠰⡄⠱⠀⠀⠀⠀⢸⠧⠁⠀ ⠀⠀⠀⠀⢠⠷⠁⡀⠀⠀⠀⡖⠒⠤⡀⠀⠀⠀⠀⠉⠒⢄⡀⠀⠀⠉⠉⠑⠢⡀⠀⠀⠘⡄⠀⠀⠀⠀⢫⠣⡱⡀⠀⠀⢸⠀⠀⠀ ⠀⠀⢀⡔⣁⠀⢠⠳⠀⠀⠀⠃⢀⣠⡞⡄⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⡠⠒⠁⠈⠁⠒⡌⠘⢄⠀⠀⠀⠀⠱⡈⠓⢄⠀⠈⡆⠀⠀ ⠀⠀⠀⡨⠁⠀⠸⣶⡄⠀⡸⣴⣛⣰⢆⠇⠀⠲⡒⢶⠶⠶⠒⠬⡔⠉⠀⠀⠀⠀⠀⢀⠃⠀⠀⠑⠤⣀⡀⠀⠈⢢⠀⢡⡄⠈⢄⠀ ⠀⠀⡰⠁⠀⠀⢀⢹⠏⠉⠃⠀⠀⢀⡛⣤⣀⡀⠈⢮⠕⣂⡤⠀⠀⠁⠢⣄⠠⠎⠀⡸⠀⠀⠀⠀⠀⠀⠉⠹⡑⡆⠀⢸⠹⡁⠈⠀ ⠀⠀⠥⠄⠒⠈⡏⢾⣀⡽⠀⣀⡾⡟⠁⠈⠁⠢⡈⠁⠀⠀⠀⠈⢹⠀⡸⠈⣱⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠀⠘⠒⠚⠀⠀ ⠀⠀⠀⠀⠀⠀⠷⠊⠙⢹⡫⢋⡴⠃⠀⠀⠀⢠⠉⠆⠀⠀⠸⢀⠎⠀⠇⠀⠉⡄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢐⠏⠀⣀⠤⠔⠒⠁⠀⠘⠀⡠⠋⠁⠀⡴⠀⢸⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢣⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠔⠈⣠⠞⠂⠉⠀⠀⠀⠀⠀⠀⠘⠊⣡⣴⢦⣩⡁⢀⡆⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣲⢃⡀⠘⡄⠀⠀ ⢀⡤⣲⣖⣭⡉⠀⡰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣳⢾⡖⠛⠛⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠰⠥⣜⣥⢋⡵⠘⠁⠀⠀ ⠣⠦⠤⠮⠄⠃⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢮⣜⣡⣗⡩⠄⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡂⣀⣀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣴⣲⠩⡩⠉⠉⢉⡘⣈⣳⢮⡽⣿⣧⣲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠂⠁⣹⠆⠀⠸⢚⡳⡚⣭⣾⡍⢶⣾⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⣉⣀⡀⠀⣰⡯⡄⠐⣚⣢⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⢡⣾⡿⠛⠏⢠⠟⠸⢐⣨⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠎⣼⣿⣿⢓⣆⣢⡦⣤⡔⠛⠉⠜⢛⣿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⠀⠿⢔⠟⢸⣻⣿⣿⣎⠛⢦⠀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⢨⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⠞⢁⣮⣯⣿⡟⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣯⡄⠀⠀⠀ ⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⢎⣀⣸⣿⣷⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⠿⢿⣦⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⡉⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⢀⣯⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⣞⠛⢒⡄⡱⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⢻⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢸⡇⠀⡜⠂⠀⠑⢄⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⣯⣽⣿⣿⣿⠂⠀⠀⠀ ⠸⡇⠀⡧⠀⠐⠠⢀⠱⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⢿⣿⠃⠀⠀⠀⠀ ⠀⣧⠀⢑⠀⠡⠐⢀⠠⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⣠⠿⡫⡻⡻⡽⣻⠟⠁⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⡃⢀⠐⠠⠀⠂⠄⠨⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⣠⣔⠟⠉⢼⡏⢿⣮⡷⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡄⠈⢆⠀⠂⠁⡐⠠⠀⢪⣿⣿⣷⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣿⣿⣿⣷⣶⣭⡾⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⣆⠉⡀⠀⠁⠀⡀⠄⣴⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡿⣻⣦⣀⠀⠀⠄⠀⢰⠏⠀⢄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡎⢧⣽⣻⣷⣄⠙⢳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣾⣿⡗⣝⡃⠁⠀⠀⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢾⣟⠽⢻⣿⣿⡄⢀⠈⠹⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣻⠋⠀⠠⠂⠀⠄⠠⡄⢥⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⠺⠧⢾⣿⡿⣯⡀⠀⠄⢀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠍⣀⠀⠎⠀⠠⠀⠘⢲⢰⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣮⡽⣽⡿⠣⡾⢹⣗⡤⣄⠀⠠⠀⠈⢂⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡄⠄⠀⠀⠀⠄⠂⠀⢿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣱⣽⡅⡯⣏⢑⠶⠍⣔⣀⣂⡭⠣⠀⠀⠀⠀⠀ ⠀⠠⡇⠀⠁⠀⠀⠀⠂⠠⠁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡫⠙⡥⡲⣱⠧⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⠖⠠⠐⢄⠀⢈⠠⠐⠀⠈⠙⢿⣿⣿⣿⡻⢿⣿⣯⡷⣭⣟⣟⠊⠀⢄⡹⣮⠾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⡀⡄⠊⠘⣄⠀⠂⢁⠂⠀⠀⠈⠛⢿⢿⣷⡞⡟⣝⣁⣁⣠⣴⡼⠞⠋⠁⠀⢘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣜⣄⠌⢚⢄⠁⠠⠀⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠩⠁⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢳⣆⣀⣈⣀⣄⣠⣔⡀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⡀⠀⣀⣤⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠔⠂⠽⠿⣿⣿⣗⠂⠀⢹⣦⠄⠀⠐⠀⠀⠀⠀⢀⣤⠶⠓⠐⢚⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠞⠠⢦⣶⣴⣾⣿⣿⣤⣴⣶⣤⠿⠛⠛⠛⠚⠛⠛⢛⣿⣷⣶⣿⣿⣶⣼⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡠⠀⠐⡁

➖⬛⬛➖➖➖➖⬛ ➖➖🟨🟧➖➖➖🟧 ➖➖➖🟨🟨🟨🟨🟧 🟧🟧➖🟨⬛🟨🟨⬛ 🟧🟧➖🟥🟨🟨🟨🟧 ➖🟧➖🟨🟧🟧🟧 ➖🟧🟨🟧🟨🟧🟨 ➖➖🟨🟧🟫🟫🟧

🟪🟪🟪🟪🟪🟪⬜⬛⬛⬛🟪🟪🟪🟪🟪🟪⬜ 🟪⬜🟪🟪⬜🟪⬛🟧🟧🟧⬛🟪🟪⬜🟪🟪🟪 🟪🟪🟪🟪🟪⬛🟧🟧🟧🟧🟧⬛🟪🟪🟪🟪🟪 🟪🟪🟪⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛🟪⬜🟪🟪 ⬜🟪🟪⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛🟪🟪🟪 🟪🟪⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛🟪🟪 🟪⬛🟧🟧🟧🟧⬛⬛🟧⬛⬛🟧🟧🟧🟧⬛⬜ 🟪⬛🟧🟧🟧⬛⬜⬛⬛⬜⬛⬛🟧🟧🟧⬛🟪 ⬛🟧🟧🟧⬛⬜⬛⬛⬜⬛⬛⬜⬛🟧🟧🟧⬛ ⬛🟧🟧🟧⬛⬜⬜⬜⬛⬜⬜⬜⬛🟧🟧🟧⬛ 🟪⬛⬛🟧🟧⬛⬜⬜⬛⬜⬜⬛🟧🟧⬛⬛🟪 🟪⬜⬜⬛🟧🟧⬛⬛🟧⬛⬛🟧🟧⬛🟪🟪🟪 🟪🟪🟪⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛🟪⬜🟪 🟪⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛🟪🟪 🟪🟪⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛🟪⬜ 🟪🟪⬛🟧🟧🟧⬛🟧🟧🟧⬛🟧🟧🟧⬛🟪🟪 ⬜🟪🟪⬛⬛⬛🟪⬛⬛⬛🟪⬛⬛⬛🟪⬜🟪

⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬜ ⬛⬛🟥🟥🟥🟧🟧🟧🟧🟧🟧🟥🟥🟥⬛⬛ ⬛🟥🟥🟧🟧🟧⬛⬜⬜⬛🟧🟧🟧🟥🟥⬛ ⬛🟥🟥🟧🟧🟧⬛🟧🟧⬛🟧🟧🟧🟥🟥⬛ ⬛🟥🟥🟥🟥🟧🟧🟧🟧🟧🟧🟥🟥🟥🟥⬛ ⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛ ⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬛⬛⬜⬜⬜⬛🟩🟩⬛⬜⬜⬜⬛⬛⬜ ⬛🟩🟩⬛⬛⬜⬛🟩🟩⬛⬜⬛⬛🟩🟩⬛ ⬛🟩⬛🟩🟩⬛⬛🟩🟩⬛⬛🟩🟩⬛🟩⬛ ⬛🟩🟩⬛🟩🟩⬛🟩🟩⬛🟩🟩⬛🟩🟩⬛ ⬜⬛🟩🟩⬛🟩⬛🟩🟩⬛🟩⬛🟩🟩⬛⬜ ⬜⬜⬛⬛🟩⬛🟩🟩🟩🟩⬛🟩⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜

⣿⣿⣤⣌⡁⠀⠈⠀⠁⠈⠀⠈⠀⠀⠁⠀⠈⠀⠀⠁⠈⠀⠁⠀⠁⠀⠀⠁⠀⠁⠈⠀⠁⠀⠁⠀⠀⠁⠀⠈⠀⠈⠀⠁⠈⠀⠀⠁⠀⠈⠀⠈⠀⠁⠈⠀⠁⠈⠀⠈⠀ ⡇⢻⣿⣿⣿⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤ ⡇⠈⢿⣿⣿⠀⠀⠈⠛⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⡟ ⡇⠀⠈⢿⣿⡀⠀⠀⠀⠀⠈⠉⠷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠖⠛⠉⠉⣿⣿⣿⣿⣿⠏⠀ ⡇⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠁⠀⠀ ⡇⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠋⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⠤⠤⠤⠶⠶⠶⠖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⢠⡶⠶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠶⣶⣶⡄⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⣿⣄⣀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣇⣀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠘⠿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣠⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⣵⢫⢞⡽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢏⡷⢭⣛⢷⡀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡝⣮⡝⣮⢳⣽⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⢦⡤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠸⣧⢻⡜⣧⣛⢮⡇⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⢽⣲⡝⣮⡷⠃⠀⠀⠀⠀⠀⠀⠀⣿⢏⡐⢢⢐⠡⢚⡷⠀⠀⠀⠀⠀⠀⠀⠻⣧⣛⢶⣹⡾⠁⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⠈⠉⠑⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡬⡑⢌⡘⠢⢌⡷⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠚⠋⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠶⠼⠷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣝⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣀⣀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⡀⣀⢀⣀⣀⣀⣀⣹⡀⠀⠀⠀⠀⠀⠀⣯⢯⣿

⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬛🟨🟨🟨⬛⬛⬛🟨🟨⬛⬛⬛⬜⬜⬜ ⬜⬛🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬛🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬜⬛🟨🟨⬛🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬛⬛⬛🟨⬛🟨🟨🟨🟨🟨⬛🟨🟨⬛ ⬜⬛🟨🟨🟨⬛🟨🟨🟨🟥🟨🟨🟨🟨⬛ ⬜⬜⬛🟫⬛🟫🟫🟫🟨🟨🟨🟨🟨⬛⬜ ⬜⬛🟫🟫⬛🟨🟨🟨🟨🟨🟨⬛🟨⬛⬜ ⬜⬜⬛🟫⬛🟫🟫🟫🟨🟨⬛⬛🟨⬛⬜ ⬜⬜⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨🟨⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢤⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢿⣿⣿⡏⠀⠀⠉⠙⠛⠲⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⢿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢤⣀⠀⣀⣤⡤⠤⠶⠒⠒⠒⠒⠒⠿⢤⣄⠀⠀⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⠶⠶⠤⠤⢤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣇⠀⠀⠀⠀⠀⠈⠉⠉⠓⠲⠦⣄⣀⠀⠀⡏⠀⠀⠀⢰⣿⡉⣻⡆⠀⠀⠀⠀⠀⠀⠀⠠⣿⣤⣿⣿⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⡇⠀⠀⠀⠸⣿⣿⣿⠇⠀⠀⠀⠀⠰⠖⠀⠀⠙⠿⠿⠋⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⡤⠞⠛⠲⣤⣤⡄⠀⠀⣤⠶⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣰⠛⠉⠙⢧⡀⠀⠀⢸⡏⠁⠀⠀⠀⠀⢹⡇⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⡀⠀⠀⣸⠇⠀⠀⠀⢧⠀⠀⠀⠀⠀⣸⠁⠀⠀⠈⠳⣄⡼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⡽⠁⠀⠀⢸⡇⠙⠒⠚⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⣰⠇⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⣰⠏⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠾⠃⠀⠀⠀⢀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢀⣼⠁⢠⡇⠈⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣀⠀⠉⠛⣺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠊⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣆⣠⠶⠺⠤⣄⡇⠀⠀⠀⠀⠀⠀⠀⢸⡆⡔⠀⠀⠀⠀⠀⠀⠀⢸⡴⠚⠳⢤⡀⢰⡞⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠟⢧⠀⠀⠀⠈⢹⡄⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠈⢹⡏⣷⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠘⠇⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⡞⠀⠈⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⢸⡇⠀⢰⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⡄⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⢈⡾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⣀⣇⡀⠀⠀⠀⠀⢀⣹⡄⠀⠀⠀⢸⡇⡀⡀⡀⣸⣇⣀⣀⣀⣠⣤⣤⣦⣠⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠚⠚⠷⠋⠛⠙⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣿⡶⠷⣶⣶⣶⡶⣶⣶⣾⡦⣶⣴⠶

⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠐⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠙⣄⠠⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⢀⣤⡀⠀⣀⣤⡄⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⢸⢳⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠈⠃⠉⠫⣉⠀⠉⠢⣀ ⠀⠀⠀⢸⣿⠟⠋⠁⢠⠇⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡞⠀⣇⠀⠀⣸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢳⡀⠀⠀⢀⣀⡉⠐⠀⠀ ⠀⢀⡴⠊⠁⠀⠀⣠⣞⣠⠤⠶⡬⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡇⠀⠀⠀⠀⠀⢸⠁⠀⣿⠀⠀⠾⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠙⠒⠞⠁⠀⠉⠧⣀⣀ ⠴⠋⠀⠀⠀⢀⡴⠛⠉⠀⠀⡰⠃⢸⡇⠀⠀⠀⠀⠀⠀⣸⠋⠉⠳⣄⠀⠀⠀⠀⡏⠀⢸⡟⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠤⣀⡈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⢻⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠘⣷⡀⠀⢀⡇⠀⢸⠇⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣿⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠈⢷⡄⢸⠀⠀⣼⠀⠀⠀⢼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠦⠤⠤⢄ ⠀⠀⠀⠀⠀⣠⠞⣇⠀⠀⠘⣆⠀⠀⠀⣯⢤⣀⣀⣀⡀⢸⡆⠀⠀⠀⠀⠀⠻⣿⠀⢰⡏⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⠁⠀⠘⣷⡀⠀⢻⡆⠀⠀⢸⠆⠀⠀⠀⠉⠉⣷⠀⠀⠀⠀⠀⢣⠘⣦⣾⠁⠀⢠⡟⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡴⢯⡄⠀⠀⠀⠀⠘⢷⡀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠀⠀⢙⣧⠀⠀⠀⠀⠸⡄⠘⣧⣀⣤⠿⠺⣍⡁⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠙⢦⡀⠀⠀⠀⠀⠻⣄⣸⡇⠀⠀⡇⠀⠀⠀⢀⣀⣀⠻⡆⠀⠀⠀⠀⢳⡀⠈⠉⠀⠀⠀⠀⠱⡄⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠤⠤⠴⠛⣦⠤⠤⠤⣤⣙⣿⡇⠀⣀⠗⠚⠉⠉⠉⠀⠈⠉⢻⡆⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠉⠛⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣀⣀⡠⠻⣆⠀⠀⠀⣀⠼⠁⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠻⣧⠉⠉⠀⠀⠀⠀⣸⣷⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠾⣅⠀⠀⠀⣠⡤⠒⠊⠋⠉⠙⠒⠶⣤⣀⠀⠀⠀⠀⣰⡟⠁⠀⣀⡙⣧⡀⠀⠀⠀⣰⡿⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⡠⠊⠁⠀⠀⢀⣠⣤⣀⠀⠀⠀⠙⢶⣄⠀⢀⣿⠀⠀⣸⡟⢏⢿⣟⠒⠒⢾⡿⠁⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⡞⠀⠀⠀⠀⣼⠋⢡⠏⠸⡝⣦⡀⠀⠀⠙⣦⣼⠇⠀⠀⣿⢧⠈⡎⣿⠀⢀⡾⠁⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⡞⠀⠀⠀⠀⢸⡇⠀⠘⡆⠀⢱⠘⣷⡀⠀⠀⠀⠛⠀⠀⠀⣿⡈⠓⠁⠸⣇⡜⠁⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⢸⡇⠀⠀⠉⠚⠁⠀⢸⣧⠀⠀⠀⢠⣴⡆⠀⠘⠳⣄⠀⢀⣿⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠘⠻⣆⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⡇⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠈⠛⠓⠒⠋⠁⠀⠀⠀⠀⢠⣶⠟⣻⣷⡄⠀⠀⠀⠀⢀⡇⠀⢠⣿⣽⣖⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⢛⣛⡿⠃⠀⠀⠀⣠⠏⣠⡞⠋⢀⡿⠙⠛⠓⢌⡙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⣠⠞⠁⡴⠋⠀⣠⠞⠁⠀⠀⠀⠈⢳⡄⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠓⠶⣬⡤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢏⣀⠤⠤⢤⡀⠉⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢠⠴⠚⠒⠒⠲⠤⢤⣠⠴⠦⠤⢤⡶⠚⠉⠀⠀⠀⠀⠀⢳⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠴⠚⠉⢫⢹⠰⠈⠉⢓⡄⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠑⠢⣄⠀⠀⠀⠀⢀⣾⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⡟⠀⠰⡞⠋⠀⠀⢀⡼⣆⠀⠀⠀⠀⠀⡞⠁⠀⠀⣠⠀⠀⠀⠀⠈⣷⠀⠀⠀⡼⠛⠳⢦⣤⣀⣗⠀⠀⠀⢀⣀⡤⠚⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣾⣀⣀⡠⠗⣀⠤⢚⠁⠀⢻⣤⠀⠀⠀⠺⠀⠀⣀⡴⡋⠳⣤⣀⣀⡤⠊⣀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠋⠀⠐⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠖⢉⣿⣿⣿⠟⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡼⠀⠀⠈⢆⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⠀⠀⢸⣿⡿⠃⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠁⠀⠀⠀⠀⠀⣾⠟⠡⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠄⢼⠀⠀⢀⣀⣤⠤⠤⠤⣤⣀⣀⡤⠋⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠟⠚⠉⠁⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡠⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⢷⡀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡹⣦⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠚⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠚⠀⠀⠀⠀⠀⠀⠀⠈⠁⠞⡹⢾⣧⣠⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠮⡍⡏⠀⣿⣽⡄⠀⠀⠀⠀⢀⠀⣠⢶⣿⣿⣧⠀⠀⢠⠞⠀⠀⢠⡏⣳⣯⠚⠉⠯⢽⣷⢤⡀⠀⠀⠀⠀⠀⢠⠴⠚⠁⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⢸⡉⢆⣀⡏⡰⣦⣇⡟⣦⠹⠿⠿⠀⠀⠀⠀⠘⠞⠹⢾⣿⣿⢟⣠⣒⣿⠿⣭⣲⣼⡿⠘⠞⠠⠀⠁⠀⢳⡄⠉⠳⢦⡀⠀⠀⠈⠳⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠢⠇⣴⣆⣺⡵⢹⣿⣉⢿⣇⠀⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⢇⠀⣇⠈⠿⠒⢯⠀⠻⣃⠇⠀⠀⠀⠀⠀⣜⣿⡄⠀⠀⠈⠓⢦⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣑⢫⡵⠀⠈⠈⠳⣟⠀⠀⠙⠒⠒⠢⠤⠞⠁⠀⠀⠈⠀⠙⠣⠽⠶⠋⠀⠀⠚⠋⠀⠀⠀⠀⣼⣿⣿⣷⡀⠀⠀⢀⠜⠁⠀⠀⠀⠀⣹⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢪⠳⠀⠀⠀⠀⢈⠟⠂⣢⣄⡀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠁⠀⢣⢠⡴⠋⠀⠀⠀⣠⠔⠋⡄⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢏⡴⠋⠁⠹⠷⣆⠀⠀⠀⢰⠏⠇⠈⠙⠲⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⣠⠖⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠁⢀⠀⡹⠄⠀⠀⢸⡄⠈⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣀⠀⠈⠷⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⠀⠀⣨⡷⢻⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⣀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⣉⣾⣳⣬⣺⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⠟⣇⠀⠁⠀⠀⠀⠀⠀⠈⠑⠢⠤⠤⠔⢊⠵⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠟⠋⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡄⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣗⡢⠤⠄⣈⣙⣲⣤⣀⡀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠏⣨⠎⣳⠤⠚⠉⠀⠀⠀⠉⠙⠓⠒⠒⠒⡒⠛⠲⢤⣀⣀⣀⣀⠤⠤⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠙⠉⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣓⡍⠉⡒⡾⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠑⠋⠙⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⠾⠛⢿⠙⣿⢶⣶⣦⡶⠿⣦⣶⣄⣴⣾⣿⢋⣉⡟⠛⢿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣭⣭⣤⣶⣿⣿⣿⣟⢿⣭⣵⣄⣻⣅⢉⣿⣿⣈⣿⣉⣿⣤⡺⠝⠛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⠉⠉⠹⢤⣀⡤⠤⢋⣏⣹⡿⣮⡉⠀⠸⠏⢙⣿⣽⣏⣉⣿⣩⠟⠉⠹⠾⢷⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠛⠿⣍⣉⣷⣶⡶⠞⢛⡿⠭⡍⡖⠯⡟⢛⣷⣾⣛⠉⠁⠉⢛⠻⢻⢶⣆⡀⠀⡏⠉⠙⢻⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣷⡆⣤⣿⣿⠿⠿⣤⠀⣇⠀⢠⢇⣧⣤⣷⣿⣿⣿⣿⣿⣦⠀⠘⠒⠚⠀⠈⠛⠿⣾⣍⠓⣾⣷⡼⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⡇⢰⣺⣿⢷⣄⣽⣧⣿⣿⣿⣿⢻⡋⢻⣿⣿⣿⣷⡀⣀⣼⠉⣉⣆⣐⣛⣿⣿⣧⠿⢷⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⣤⠀⠀⢈⠉⠉⣿⠿⣿⣿⠟⠋⢣⡶⠿⣿⡿⣿⣷⢿⣤⣤⣿⢿⠟⡟⠓⠻⣿⠷⠞⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣋⣭⣽⣿⣴⣿⣀⣸⣿⣾⠋⣿⣾⢿⣾⣷⣾⣿⡻⠿⠿⣦⠀⠉⣷⣤⣠⣧⣴⣿⣿⣶⣦⣄⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⢠⣶⣟⡯⣗⡿⡿⠗⠒⠛⠉⢉⡽⠿⠍⣩⣞⣿⠖⠋⣠⠤⣍⣉⡇⢰⡞⠛⢿⡟⠋⠉⠙⠛⠛⠺⠭⢽⡗⠋⠽⠿⢷⣀⠀ ⠀⠀⠀⣰⡟⣛⠉⣟⠋⣩⣽⣾⣿⣯⣤⣿⠷⢀⣾⣿⣿⣿⠲⠾⣧⣤⣽⣿⠿⠿⠷⣶⣾⣗⣿⣤⢻⣶⠦⢴⣖⠋⣽⡛⠿⢶⣾⡿⠟ ⠀⠀⠀⠻⣾⣥⣞⣡⣾⣿⣆⡀⠙⠻⣿⡤⡍⣿⣿⠓⢃⠉⢳⣦⣴⡿⠃⠀⣠⣴⠶⣿⣿⠙⠛⢻⣦⣼⣦⡄⢻⣆⣈⣷⣦⣤⠾⠃⠀ ⠀⠀⠀⠀⣀⣶⠏⡉⠀⠸⣿⡿⠀⢸⣍⡥⠀⠛⠁⣤⡈⠻⣤⢾⡏⠁⠀⠀⠋⠛⣷⠿⢿⡆⠀⢰⡀⠀⠈⠛⢻⣏⠉⠁⢿⣇⠀⠀⠀ ⠀⠀⠀⣰⠟⠀⠀⠘⣆⡴⡛⠀⢀⢸⣛⠀⣤⣿⢀⣿⠿⣶⣿⢞⡀⠀⠀⠀⠀⠀⠀⠐⠘⠷⣄⠀⠻⢦⣀⣠⡿⠀⠀⠀⠘⢻⡆⠀⠀ ⠀⠀⣴⡟⠀⠀⠀⢠⡿⢻⣷⣄⢻⡏⠹⠿⠁⢹⡿⢉⣠⠞⢡⡾⠀⣠⣴⢿⡇⠀⠀⠀⠀⠀⣉⣷⡀⠈⢹⣏⠀⢀⠀⠀⣾⢸⡇⠀⠀ ⠀⢠⡟⠃⠀⠀⠀⣿⠁⠸⣞⢿⣧⠇⠀⠀⠀⠈⠉⠀⠀⠀⠘⢧⣾⣿⢟⣰⡇⠀⠀⠀⢰⡟⠁⢸⣧⢦⠀⢻⣆⠈⢧⢀⣹⡿⠁⠀⠀ ⠀⢸⣇⠀⠀⠀⣠⣽⢦⣀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢀⣀⣤⠶⢋⣠⣴⠿⠀⠈⠀⠀⣿⢦⢠⡶⢿⣅⠀⠀⠀ ⠀⣸⣟⣃⣤⡀⠀⠛⠈⢙⣷⣄⡀⠀⠀⣀⠀⠀⢀⡀⠀⠀⠀⢀⣀⣶⣶⣶⣿⡿⢃⣴⠛⢙⠄⠀⠀⠀⢀⡀⣿⣶⠟⠓⠚⠛⠀⠀⠀ ⠸⠿⠿⣿⢩⣷⣶⡿⣶⠞⠉⠻⣿⣿⣶⣶⣤⣤⣽⣥⠶⠟⠛⢋⣭⣵⣿⠿⣟⣥⠟⣿⣤⠀⠀⣠⡀⠀⣸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠙⠻⣿⣿⡿⣶⣶⣶⣶⣶⡿⣿⣿⣿⣿⠖⠋⠁⠰⣿⣼⣧⣶⣋⣹⣶⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡾⢡⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⡀⢀⠠⠴⠋⢩⡿⠀⢯⡉⠒⢆⡀⠀⣀⣠⡴⢖⡆⠀⠀ ⠀⠀⠀⠀⠀⢿⡙⠷⢾⣤⡀⢀⣾⠃⣠⣾⢷⣦⣘⣱⣶⡿⠏⢡⠞⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣆⠀⡙⣿⣿⡟⢜⣛⠤⣜⢻⣟⠕⡁⠄⢢⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡆⢌⣏⠀⠑⠉⢀⢤⣤⠙⣏⠡⠐⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣁⡶⡿⠗⠀⠀⠸⠿⠋⠀⣿⣟⢶⣤⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠫⡀⢙⠦⣚⠷⢊⣠⡤⠾⠓⢄⣠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣱⣎⠀⠀⡝⠉⠁⠙⣀⢠⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡿⡻⠛⠲⣤⣃⡦⠤⣄⡿⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠤⢖⣻⠵⠊⠀⠀⠀⠀⠑⢄⡀⣘⢣⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀ ⠀⢀⣾⣫⠎⠁⠀⠀⣀⡀⠀⢀⣆⠀⢠⡷⢯⡼⠀⠀⢠⠴⠚⠁⠀⢠⡴⠃ ⢀⡾⣷⠃⠀⣀⡀⠀⠀⠹⡇⠀⣧⠀⢸⠀⠰⣇⣠⠤⠎⠁⠀⠀⣀⡞⠀⠀ ⠸⣷⡺⣄⣀⠀⠙⠓⠤⢦⣸⣧⣼⣄⣼⣴⡿⠛⢛⣧⠄⠀⠀⢚⡏⠀⠀⠀ ⠀⢹⠝⢦⣉⡣⢶⣦⣀⠸⢭⣿⡫⠽⠞⠉⣠⡞⠋⠙⢦⡀⠀⠘⡇⠀⠀⠀ ⠀⠈⠢⣈⠉⠳⠮⠭⠽⠒⠊⠛⢅⢀⢠⢴⣯⠇⠀⠀⠸⣇⡀⠀⡇⠀⠀⠀ ⠀⠀⠀⠈⠒⠦⠤⠤⠤⠶⠚⠛⠉⠙⠛⠋⠀⠀⠀⠀⠀⠀⠘⠒⠚⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠀⠀⠀⠀⠀⠀⣠⢾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢻⣿⣿⠏⠀⠀⠀⠀⣠⠞⠁⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⢸⣿⡟⠀⠀⠀⢀⡾⠁⠀⠀⢸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⣸⠟⠀⠀⠀⣠⠟⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣁⣠⠤⠶⠒⠛⠶⠦⢤⣴⠃⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣯⠀⠀⠀⠀⠀⣀⡴⠚⢻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢰⡖⣆⠀⠀⠀⠀⠀⡖⠺⣷⡀⠀⠀⠀⢸⡆⠀⣀⡴⠚⠁⠀⠈⠢⡊⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠸⣿⠇⢀⠀⠀⠀⠀⠻⢿⣿⠇⠀⠀⠀⠀⡷⠞⠁⠀⠀⠀⠀⠀⠀⠈⠀⠙⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⢆⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⡴⠉⠉⢢⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⡼⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠱⢤⡠⠎⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣤⡀⠀⢀⠀⠀⢠⡴⠚⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⢤⡴⢚⡉⠉⠉⠙⠳⣄⠀⣀⡚⠁⠙⣦⠉⠳⢤⡁⠢⠀⢙⡦⢤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡧⡀⢠⢾⡁⠀⠀⠀⡀⣽⣠⠟⠛⠂⠀⣾⢀⡤⢞⡧⠀⠀⠈⠉⠙⢦⣠⢴⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠧⣼⢿⡷⢿⣾⣿⣿⣿⣿⣿⡆⣠⡶⣷⡋⠙⠁⠀⢀⣀⡤⠶⠚⠋⠉⠿⠗⢀⢤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢀⣠⣾⣶⠶⢿⣿⣿⣿⣿⣿⣿⢯⡇⠈⠙⢦⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠸⠜ ⠀⠀⠀⠀⠀⠀⢀⣠⠤⢤⣾⣻⣿⡛⠭⠝⣿⣕⠼⢿⣿⣿⣿⡟⣴⣿⠀⣠⡴⠋⠀⠀⠀⣹⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠶⠞⠛⢚⠳⠮⣄⡚⢿⣦⣤⣴⠟⢻⡆⢸⣿⣿⣿⣟⡎⢹⠛⠉⣻⣦⠴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⢞⣅⡀⠀⣾⣿⣷⠀⠀⠙⣦⠈⢿⠃⣉⣽⣗⡾⠿⠛⢻⣿⣷⡿⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠳⣿⣿⣯⠀⠙⠛⠋⣠⣶⡄⠈⣧⠘⡗⣯⣽⣟⠁⠀⠂⠀⠹⣿⣷⣦⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⣉⣍⠉⠀⠀⠀⠘⣿⣿⡿⠀⢸⡗⣿⠏⠀⠉⠉⠛⠒⢶⠺⣯⣿⠛⠿⠿⠿⠿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣼⣿⣿⡃⠀⠀⠀⠀⣠⣤⣄⠀⢸⣷⠃⠀⠀⠀⠀⠀⠀⠈⠙⠓⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣜⠛⠛⢃⣴⣶⣆⢸⣿⣿⣿⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢦⡀⠘⢿⣿⠿⠀⠈⠉⣠⠞⠃⠀ ⠀⠀⠀⠉⠓⠦⠤⠤⠤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠴⠶⠶⠶⠶⠶⢦⣄⠀⠀⠀⠀⢀⣀⣤⠤⠴⠶⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣋⣁⣀⣀⣀⠀⠀⠀⣀⣴⣤⣾⢷⡾⠛⣾⡿⢻⣤⣤⠀⠀⠀⠀⠈⠉⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠖⠚⠋⠉⠉⠉⠉⠉⠉⠉⠉⢉⣛⡳⣿⣿⠿⠙⠷⠟⠷⠋⠻⠾⠻⣿⣷⠶⠖⠒⠒⠒⠒⠒⠻⠿⠦⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠋⠁⠀⠀⠀⠀⢀⣠⣤⡴⠶⠛⠛⠋⠉⠉⠉⠛⠛⠲⢦⣄⠀⠀⢀⣠⣤⠶⠿⠓⠒⠶⠶⠶⠦⣤⣤⣀⡀⠀⠀⠀⠉⠙⠓⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⣀⣤⣶⠾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣷⣴⣿⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢦⣄⡀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢀⣠⡶⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⣀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡾⠛⠁⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⢦⣌⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠸⣧⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣽⠆⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⣤⣀⣀⣤⠀⠀⠀⢠⣾⡃⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡼⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣉⣻⠶⣤⣤⣿⣿⣿⣿⣿⣿⣏⢀⣤⡈⣡⣙⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⡆⠀⣰⣦⣤⣴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⣴⡶⠶⣶⣿⣟⠛⢿⣯⢉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⠷⠓⠲⣶⡤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡿⠷⠄⠈⠉⠛⣀⣠⣽⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣄⣀⠙⠛⠉⠿⠷⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠛⠓⠚⠛⠂⠀⠀⠰⠶⠛⠛⣻⠏⠉⠹⠿⣿⣿⡛⠛⠻⠿⠿⠿⣿⣉⣤⡴⠞⠀⠀⠀⢸⣿⡇⠀⠀⠀⢀⣀⠉⢻⣿⠿⠛⠛⠛⣛⣽⣿⣿⠃⠉⢿⣿⡿⣏⠛⠻⣶⣶⠾⠛⠻⠷⢤⣄⡀⠀⠀⠀⠀ ⠀⢀⣈⣭⠿⠛⠀⠀⠀⠀⣠⡆⠀⠀⠀⠋⣶⠀⠀⢀⣽⣿⣿⣦⣄⠀⠀⠀⢿⣋⣁⣤⣴⠖⠀⠀⢸⣿⠀⠀⠀⠀⠀⠙⠿⣿⡿⠀⠀⣠⣾⣿⣿⣿⣿⣄⠀⠀⠉⠃⠀⠀⠀⢻⣆⠀⠀⠀⠀⢠⣈⡉⠛⠶⣤⡄ ⢸⡏⠁⣀⠀⢀⣴⡇⠀⢠⣿⠁⠀⡄⠀⣼⣿⠀⢀⣿⣟⣿⣿⣻⣿⣷⡄⠀⠘⢻⣟⠋⢀⣠⣤⠀⠈⠁⠀⠀⠸⣶⣄⣶⣤⡿⠁⠀⠾⠿⣿⣯⣿⣿⣤⣿⣧⡀⠘⣿⣆⠀⣤⣀⠹⣷⣄⠀⣦⣈⠙⢿⣷⡾⠋⠀ ⠘⠛⢿⣏⣴⣿⣏⣀⣠⡟⣿⣤⣼⣷⣶⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠻⠾⣿⡿⢁⡄⠀⠀⠀⢤⣀⠘⣿⠿⠟⠀⢀⣀⣀⡀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠟⢷⣬⣿⣷⣤⡼⠷⠀⠀ ⠀⠀⠀⠀⠁⠀⠉⠉⠉⣴⢏⣿⣿⣿⣿⣿⠟⠛⢻⣿⠟⠀⠀⠀⢴⡛⠉⠁⠀⢀⠀⠀⠻⢶⣿⠃⢀⣿⡄⢈⣿⠟⠋⠀⡀⠀⠀⠀⣉⣽⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡾⠿⠋⢹⣿⡏⠀⢀⡾⠁⠀⠀⠀⠀⣾⠛⣶⣤⣀⠸⡇⠀⠀⠀⠙⠷⢾⠟⠿⠟⠁⠀⠀⢸⡇⣀⣤⣾⣿⢹⡇⠀⠀⠀⠀⠙⣿⡛⠋⠀⢻⣿⣿⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠁⠀⠀⢸⡿⠀⠀⢾⡁⠀⠀⠀⠀⠀⠹⣄⠙⠛⣹⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠿⣤⣉⣀⠼⠁⠀⣀⠀⠀⣸⡇⠀⠀⠈⣿⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣟⢀⣀⠀⠀⢸⡇⠀⠀⠘⢷⡀⠀⠲⣦⣀⡀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⠾⠋⠀⣰⡟⠀⠀⠀⠀⣿⡏⠀⠀⠀⢀⣸⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣤⣦⣾⡇⠀⠀⠀⠈⠳⢶⣤⣾⣽⣿⣟⣿⣶⡶⠶⢦⣤⣀⠀⢠⡀⠀⠀⠀⣤⠀⣠⣤⡶⠖⠛⢿⣿⣿⣽⠛⣠⣦⣴⠾⠋⠀⠀⠀⠀⠀⣿⠁⠀⢀⣴⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⢿⡄⢹⣿⣿⡀⠀⠀⠀⠉⠛⠳⠶⠶⠶⠶⠶⠛⠋⠀⠀⠀⠀⢸⣿⣿⢃⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⣫⡾⠃⠀⠀⠀⠀⠀⠀⣤⠀⠀⣸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⣿⣿⣿⢿⣿⣧⡺⣧⡄⠀⠀⢀⣀⡀⠉⠻⣮⣝⣿⣿⣿⣤⣤⣀⣀⣀⣀⣀⣀⣀⣤⣴⣿⣿⡿⣫⣾⠛⣁⣄⠀⠀⠀⠀⠀⠛⠋⠀⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠙⠒⠋⠙⢷⣄⠀⠀⠀⠘⠛⠁⠀⠀⣠⣿⡿⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣽⡾⠋⠀⠀⠿⠷⠀⠀⠀⠀⠀⠀⠀⣠⡿⠳⠞⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⠃⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⡟⠀⠀⠀⠀⠀⠀⠀⢰⣤⣶⠆⢀⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹⢿⣿⡟⢿⣿⣿⣏⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣹⡆⢢⡾⠻⣧⠀⠀⣴⢶⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠉⠙⠻⣇⣠⡿⠷⠾⣧⣈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢴⡦⡀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢶⡄ ⣨⠇⠈⢆⠀⠀⠀⢀⠔⠁⠀⠀⣮⠀ ⣿⠀⠀⠀⢣⠀⡠⠃⠀⠀⠀⠀⠈⣿ ⣿⡀⠀⢀⣾⣻⣧⠀⠀⠀⠀⠀⠀⣿ ⠈⠻⠆⣈⣻⢭⡙⢀⣀⣀⣀⣠⠟⠀ ⠀⢰⡏⠀⠀⢯⣿⠀⠀⠀⠀⢘⡆⠀ ⠀⠀⢻⣄⡠⠊⠁⠑⠤⣠⠼⠟⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠁⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠷⡒⠂⠀⠐⠀⠀⠠⣄⠀⠀⠀⢀⡀⠤⠀⡞⠀⠈⢆⠀⠀⠀⠀⠀⠀⢀⡤⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⠱⡄⠀⠀⠀⠀⠀⠈⣱⠔⠊⠁⠀⠀⣰⠁⠀⠀⠀⡓⠤⡀⠀⢀⠔⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠘⣄⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢰⠃⠀⠈⠱⡁⠀⠀⠀⢀⠉⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡈⠀⠀⠀⠈⢦⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⡰⠃⠀⠀⠀⠀⣇⠀⢀⡠⠚⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⢄⡀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠂⠤⠤⠀⣸⠔⠉⠀⠀⠀⠀⠀⠀⠀⠙⠢⠄⡀⠀⠀⣀⡀⠤⠔⢤⠀⠀⠀ ⠀⠈⢢⢀⡟⢁⡤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀ ⠀⠀⢀⡟⡰⠋⡜⠁⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀ ⠀⠀⡘⠘⢀⠎⠀⠀⠀⠙⡄⠀⠀⠀⠀⢀⡠⠄⣀⡐⠒⣐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀ ⠀⠀⡇⢀⠏⠀⠀⠀⠀⠀⡸⠀⠀⢀⠔⢁⠔⠋⠁⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀ ⠀⠰⢇⠈⣆⠀⠀⠀⠀⡰⠁⠀⡴⠁⡴⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⠘⠂⠸⡄⠀⢀⠞⠀⠀⡜⠀⡜⠀⠀⠀⠀⠀⠀⠀⡠⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠁⡎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠀⠘⢄⢹⡴⠋⠀⠀⠘⠁⣸⠀⠀⠀⠀⢀⡤⠖⢋⡀⢱⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⢊⠕⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠉⠀⠀⠀⠀⢰⠀⡇⠀⠉⢏⠁⠀⡇⠀⡇⡸⢸⡆⠀⠀⠀⠀⠀⠀⠀⡤⠒⠊⠁⣠⠔⠁⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠸⡀⢹⡀⠀⠘⢆⠀⠱⣀⠈⡱⡳⠀⠀⠀⢣⠀⠀⠀⠀⣅⡠⠔⠊⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠱⣀⢣⡀⠀⠈⠂⠀⠘⢋⡴⠁⠀⠀⢠⢞⠀⠀⠀⠀⡇⠀⢀⡠⢴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠈⠠⢌⣒⣤⣤⣤⠔⠋⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠳⠒⣩⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠢⠤⠀⣀⣠⠃⠀⠀⠀⠀⠀⠀⠰⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠑⠤⣀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⢀⡴⠛⣦⡤⠤⢤⣄⣀⢀⡠⠴⠊⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠁⣀⣀⣠⠞⣹⠀⠀⡧⠤⠄⠒⡇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⢋⠉⠀⠀⠈⣩⡏⠀⢀⠃⠀⠀⠀⠇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠈⠉⠉⠑⢫⣸⠃⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⢺⠉⠉⡞⠀⡜⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⠀ ⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⢃⠞⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⣀⠠⠔⠂⠉⠀⠀⠀⠀⡇ ⠀⠀⠀⡰⠁⣠⣀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠘⡅⣼⠋⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⢀⠔⣊⠔⠂⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡸⢁⠞⠁⠀⠙⡆⠀⢠⠃⠈⢣⡀⠀⠀⡷⠁⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⢳⠀⣠⠞⡡⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⠀⢰⠁⠁⠀⠀⠀⠠⡇⢀⠇⠀⠀⠀⠱⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠈⡟⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀ ⢀⡇⢠⠀⠀⠀⠀⡰⠀⢸⠀⠀⠀⠀⠀⠈⠢⡏⠑⠒⠂⠠⠤⠤⢤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⢸⠀⠀⠑⠂⠤⠊⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀ ⠘⡆⠀⠀⡠⢄⡀⣀⠤⠒⠁⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⣆⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀ ⠀⠘⡄⡰⠁⠀⠈⠀⠀⠀⠀⢰⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠚⠁⠀⠘⡆⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀ ⠀⠀⠈⡇⠀⠀⠀⡤⠀⠀⠀⠘⡆⠀⠀⠀⡏⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⠀⠀⠀⠹⡄⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⠀⠀⠀⡇⠀⠀⠀⠀⢳⠀⠀⢰⠁⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⢰⡇⠀⠀⠀⠀⠸⡄⠀⡎⠉⠒⠒⠞⠀⠀⠀⢠⠊⠉⠉⠲⡘⢦⡀⠀⠀⠀⠀⠀⢀⣀⣀⢽⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠈⠁⠀⠀⠀⠀⠀⢣⡘⠀⠀⠀⡜⠀⠀⠀⠀⡏⠀⠀⠀⠀⠘⡆⠙⢄⠀⠀⠈⠉⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡄⠀⡀⠀⠀⠀⠀⠀⡼⠁⠀⡠⠚⠉⠁⠀⠀⠀⢧⠀⠀⠀⠀⢰⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡀⡇⠀⠀⠀⢠⠞⠀⢠⠊⠀⠀⣀⠴⠀⠀⠀⠈⠆⠠⠤⠤⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⣇⣀⣀⠔⠁⠀⠀⠈⠉⢉⠝⠁⠀⠀⡀⠀⠀⠀⠀⠀⢀⠠⠠⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢠⠇⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠈⠉⠉⢱⠁⠀⡠⠾⣅⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠘⠈⠁⠀⠀⡈⠓⢄⡀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⢼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠙⠢⡘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠈⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⡸⠁⠒⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⣀⠱⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢑⠢⠤⠬⣶⡤⡤⠔⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣤⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿ ⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔🐉

⬜🟥🟥🟥🟥⬜⬜⬜ 🟥🟥🟥🟥🟥🟥🟥🟥 🟫🟫🟫🟧🟫🟧⬜⬜ 🟧🟫🟧🟧🟫🟧🟧🟧 🟧🟫🟫🟧🟧🟫🟧🟧 ⬜🟧🟧🟧🟫🟫🟫⬜ ⬜⬜🟧🟧🟧🟧⬜⬜ ⬜🟫🟥🟫🟫🟥🟫⬜ 🟫🟫🟥🟫🟫🟥🟫🟫 🟫🟥🟧🟥🟥🟧🟥🟫 🟧🟥🟥🟥🟥🟥🟥🟧 🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥⬜⬜🟥🟥🟥 ⬜🟫🟫⬜⬜🟫🟫⬜ 🟫🟫🟫⬜⬜🟫🟫🟫

➖➖➖➖➖➖➖➖➖➖➖➖⬜️⬜️⬜️ ➖➖➖➖➖➖➖➖🟩🟩⬜️⬜️⬜️🟧 ➖➖➖➖➖➖➖🟩🟩🟩⬜️⬜️🟧🟧 ➖➖➖➖➖⬜️⬜️🟩🟩🟩🟩🟧🟧🟩 ➖🟧➖➖🟩⬜️⬜️🟩🟩🟩🟩🟩🟩🟩 🟧⬛️🟧🟩🟩⬜️⬜️🟩🟩🟩🟩🟩🟩🟩🟩 🟧🟧🟧⬜️⬜️⬜️🟩🟩🟩🟧🟩🟩🟩🟩🟩 🟧🟧🟧🟧⬜️🟩🟩🟩🟧🟧🟧🟩🟩🟩🟩 ⬜️🟧🟧🟧🟩🟩🟧🟧⬜️🟩🟧🟩🟩🟩🟩⬜️⬜️🟩🟩🟩⬜️ ➖⬜️➖🟧🟧🟧🟧🟩🟩🟩🟧🟩🟩🟩🟩⬜️⬜️🟩🟩⬜️⬜️🟧🟩 ➖⬜️➖⬜️⬜️🟩⬜️🟩🟩⬜️🟧🟩🟩🟩🟩⬜️⬜️🟩⬜️⬜️⬜️🟧🟧🟩⬜️⬜️⬜️ ➖➖➖➖⬜️➖➖➖🟩🟧🟧🟩🟩🟩⬜️⬜️⬜️🟩🟩⬜️🟧🟧🟩🟩⬜️⬜️🟧 ➖➖➖➖➖➖➖➖⬜️🟧🟧🟩🟩⬜️⬜️⬜️🟩🟩🟩🟩🟩🟩🟩🟩🟩🟧🟧🟩⬜️ ➖➖➖➖➖➖➖➖🟧🟧🟩🟩⬜️⬜️⬜️🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜️ ➖➖➖➖➖➖⬜️🟧🟧🟧🟩🟩⬜️⬜️⬜️🟩🟩🟩🟩🟩🟩⬜️⬜️⬜️🟩🟩🟩🟩🟩 ➖➖➖➖➖➖➖🟧🟧➖➖🟩🟩⬜️⬜️⬜️⬜️⬜️⬜️🟩🟩⬜️⬜️🟧🟩🟩🟩⬜️⬜️⬜️ ➖➖➖➖➖➖➖➖➖➖➖➖➖🟩🟩🟧🟧🟧⬜️⬜️🟩🟩🟧🟧🟩🟩🟩⬜️⬜️🟧 ➖➖➖➖➖➖➖➖➖🟧🟧🟧➖➖⬜️⬛️🟧🟧🟧⬜️⬜️🟩🟩🟩🟩🟩🟩🟩🟧🟧 ➖➖➖➖➖➖➖➖🟧🟧⬜️⬛️🟧🟧🟧⬛️⬜️🟧🟧🟩⬜️🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜️ ➖➖➖➖➖➖➖➖🟧🟧⬛️⬛️🟧🟧🟧🟧⬛️⬛️🟩🟩⬜️🟩🟩🟩⬜️⬜️⬜️🟩🟩🟩🟧⬜️ ➖➖➖➖➖➖➖➖🟧⬜️⬛️🟧🟧🟧🟧🟧🟧⬜️🟩🟩⬜️⬜️🟩🟩⬜️⬜️🟧🟩🟩🟩 ➖➖➖➖➖➖➖➖🟧⬛️⬛️🟧🟧🟧🟧🟧🟩🟩🟩🟩⬜️⬜️🟩🟩🟩🟧🟧🟩🟩⬜️⬜️ ➖➖➖➖➖➖➖➖➖⬜️⬛️🟧🟧🟧🟧🟧🟩🟩🟩🟩⬜️⬜️🟩🟩🟩🟩🟩🟩🟩⬜️⬜️⬜️ ➖➖➖➖➖➖➖➖➖➖⬛️⬜️🟧🟧🟧➖🟩🟩🟩🟩🟩⬜️🟩🟩🟩🟩⬜️⬜️🟩🟧🟧 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟩🟩🟩🟩🟩⬜️⬜️🟩🟩🟩🟧🟩🟩🟧🟩 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟩🟩🟩🟩🟩⬜️⬜️⬜️🟩🟩🟩🟩🟩🟩 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟩🟩🟩🟩🟩⬜️⬜️⬜️⬜️🟩🟩🟩🟩 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖🟧🟩🟩🟩🟩🟩🟩⬜️⬜️⬜️⬜️⬜️⬜️⬜️ ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖⬜️⬜️🟧🟧🟩🟩🟧🟧🟧🟧⬜️⬜️⬜️⬜️⬜️ ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖⬜️⬜️⬜️🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬜️⬜️ ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖⬜️⬜️🟧🟧⬜️⬜️🟧🟧🟧🟧 ➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖⬜️⬜️⬜️🟧⬜️⬜️⬜️🟧🟧🟧🟧🟧

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣆⣠⣴⣶⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣶⣿⠋⢹⣿⠟⣹⣿⣥⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⢉⣠⣴⣿⠏⠀⣿⡟⣽⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠟⠋⠉⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣶⣶⠀⠘⠛⠛⠉⠀⠀⢰⣿⢱⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠸⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⠟⠛⠿⣷⣶⣤⣀⣤⣤⣤⣤⣤⣿⣟⣀⣀⠀⠀⠀⣀⣠⣤⣾⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⠋⠀⠀⣶⡿⠿⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⠛⠻⣿⣿⠿⠛⠉⠉⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠘⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣶⠆⠀⠀⠀⠀⠀⣀⣤⣤⣶⡶⠶⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠘⢿⣷⡀⠀⠀ ⠀⠀⠀⠀⣸⣿⡿⠁⠀⠀⠀⢠⣶⣿⠟⠋⠉⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠈⢿⣷⡀⠀ ⠀⠀⠀⣴⣿⠋⠀⠀⠀⠀⣀⡈⢿⣷⣄⣀⣴⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠈⢿⣷⠀ ⠀⠀⣼⣿⣿⣿⣆⣤⡄⣿⣿⡇⠀⠈⠛⠛⠋⠁⠀⠀⠀⣤⡄⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠈⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠘⣿⡆ ⠀⣰⣿⣿⣿⣿⣿⣿⡇⠿⠿⠃⠀⢀⣠⣶⣶⠀⠀⢀⣾⡟⠁⣴⣾⣿⡿⠙⢿⣷⡀⠀⠀⠀⠀⢹⣿⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢻⣧ ⢀⣿⣿⢿⣿⣿⣿⠿⠇⠀⠀⠀⣤⣿⠟⢹⣿⠀⠀⢸⣿⢀⣾⡿⢹⣿⢱⣿⣿⣿⣷⠀⠀⠀⠀⢸⣿⠀⣨⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⡘⠋⠀⠀⠀⢸⣿ ⢸⣿⡟⢸⣿⣿⣿⠀⠀⠀⠀⠀⠙⢿⣷⣼⡟⠀⠀⠈⠁⣸⣿⠀⢸⡟⢸⣇⣸⡯⣿⡇⠀⠀⠀⠈⣿⠀⣿⣯⠈⠛⢿⣷⣤⡀⠀⣀⣴⣿⠋⠀⠀⠀⠀⢸⣿ ⣿⡿⣷⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⣿⡇⠀⢸⣿⠘⢿⣿⠃⢸⡇⠀⠀⠀⠀⠿⠀⠘⣿⣦⠀⠀⠈⠻⣿⣿⣟⠋⠁⠀⠀⠀⠀⠀⣿⡏ ⣿⣧⣍⠛⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣀⣸⣿⣦⣤⣶⣾⢿⣇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠘⣿⢿⣷⣄⠀⠀⠀⢀⣼⣿⠃ ⢻⣿⣿⣷⣤⣄⠀⢰⣦⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⢉⣠⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠶⠶⠾⠿⠀⠙⢿⣷⣤⣶⣿⡿⠁⠀ ⠀⠙⠿⣿⣿⣿⣿⣿⣿⣦⣤⣌⣉⣁⣀⣀⣠⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⣿⠟⠋⠁⠀⢀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡟⠁⠀⠀⠀ ⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣯⣍⣉⠉⠉⠉⠉⠉⠉⠉⠉⢁⣠⣴⣿⠟⠋⠁⠀⢀⣠⣴⣿⠟⠁⠀⠀⠀⠀⠀⢸⣿⠀⣠⣶⠆⢀⣀⠀⠀⠈⢻⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠻⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⠿⠟⠛⠉⢀⣀⣤⣴⣶⣿⣿⠋⠀⠀⣀⡀⠀⠀⠀⠀⠘⣿⣾⣟⣥⣾⡿⣿⡇⠀⠀⠈⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⣈⣽⣿⡻⠿⢿⣷⣶⣶⣶⠿⠿⠿⠿⠛⠛⠉⠉⣿⣿⠏⠀⣴⣿⢿⣇⠀⠀⠀⠀⢸⣿⣿⣿⠟⠁⠀⢹⡇⠀⠀⠀⢸⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣧⣾⠟⠋⢿⡇⠀⠈⠻⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣾⢿⣿⠿⠿⠟⠀⠀⠀⠀⣼⡿⠈⢿⣧⡀⠀⢸⣧⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⡏⠀⢀⣼⡿⠀⠀⠀⠀⠉⢻⣿⣷⣶⣤⣤⣀⣀⣾⡿⠋⠁⣾⡏⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠈⠻⢿⣶⡿⠏⠀⠀⠀⣸⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡶⠾⠟⠁⠀⠀⠀⠀⢠⣿⠟⠀⠈⢿⣿⣛⢻⣿⠁⠀⢰⣿⠁⠀⠀⠀⠀⢀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣄⠀⣀⡀⠀⣰⣿⠟⠀⠀⠀⠀⢹⣿⣿⣿⣷⣶⡿⠋⠀⠀⠀⠀⣠⣾⡿⠉⠹⣿⣄⡀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣾⠿⠃⠀⠀⠀⠀⠀⠀⢠⣿⣷⣤⣶⣤⣀⣤⣄⣠⣾⣿⠏⠀⠀⠀⢹⣿⣿⣿⣿⣷⣾⣿⣷⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⢿⣿⣿⢿⣿⡿⠛⠋⠀⠀⠀⠀⠀⠀⠉⠁⠙⠛⠋⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣠⣴⣶⣿⣿⣶⢤⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣶⣦⣄⠀⠀⠀ ⠀⢀⣾⣿⡿⠋⠉⠙⣿⣸⡧⠤⠤⠤⠤⠤⢼⣏⣽⠉⠉⠙⢻⣿⣷⡀⠀ ⠀⢼⡿⢯⠀⠠⠔⠊⠁⠀⠀⣠⣀⣀⣄⣀⠀⠀⠈⠀⠀⢀⡀⡿⠿⡇⠀ ⠀⠈⢻⣶⠛⢁⣥⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠙⢷⡞⠁⠀ ⠀⢀⣾⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠳⡀⠀ ⢀⣾⢃⣾⣿⠟⢁⠄⡨⣿⣿⣿⣿⣿⣿⣿⣿⡿⢕⠀⠈⠻⣿⣷⠢⢳⠀ ⢸⠏⣸⣿⣿⢿⡟⠋⡇⢸⣿⣿⣿⣿⣿⣿⣿⡇⢸⠯⠺⡤⣿⣿⡇⠘⡇ ⣾⠃⢿⣿⣿⣌⠻⠟⣡⣿⣿⣿⠿⠿⠿⢿⣿⣿⣜⠺⠔⣡⣿⣿⡇⠀⣧ ⢾⡤⠘⢿⣿⣿⣿⣿⡿⠛⠁⣀⣤⣀⣤⣀⠈⠛⠿⣿⣿⣿⣿⡿⠁⢀⡇ ⠈⢯⡁⠀⠉⠉⠉⠁⠀⠀⣼⣿⣿⣿⣿⣿⡄⠀⠀⠀⠉⠉⠁⠀⢀⡼⠁ ⠀⠀⠻⢄⡄⢁⠂⠙⠀⠀⡹⣿⣿⣿⣿⣿⠃⠀⠀⠐⠀⠀⢀⡤⠞⠀⠀ ⠀⠀⠀⠀⠉⠓⢶⡤⠤⣭⢄⢀⣀⡀⠀⡀⢠⢨⡤⣴⠶⠚⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⢞⣉⣀⣿⠬⠉⢈⠁⠁⡁⡅⣼⣇⣀⡑⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠟⢩⠋⣹⣿⣿⡿⡿⠿⣻⠽⢻⠿⣿⣻⡉⠙⢆⠀⠀⠀⠀ ⠀⠀⢀⣴⠃⢐⠏⢠⣿⠯⠌⠩⠤⠀⠄⠥⠀⡄⣏⣿⢷⡀⠈⢳⡀⠀⠀ ⠀⣰⡏⠁⠀⣼⠄⣾⣿⣐⣐⣤⣠⣒⣤⣀⣓⣢⢺⢻⠩⢇⠀⠀⠙⣆⠀ ⠰⣿⢧⣄⣠⡟⢠⣿⢯⠪⡋⠫⡚⠩⣚⠉⢿⠹⡍⡾⡀⢻⡀⠀⡠⣹⠄ ⠸⣿⣷⣯⣿⠁⢸⡾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡗⢆⣿⣧⣶⣿⠀ ⠀⠀⠉⠁⢻⣄⢸⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⣠⣿⣿⣯⡁⠀ ⠀⠀⠀⠀⠈⢻⡿⣯⡵⡖⡖⣄⢠⠀⡔⢐⢲⠂⢈⣙⢽⢎⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠱⣄⠈⠉⠉⠚⡾⠒⠓⠚⠉⠉⢁⢰⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠆⠉⠉⠀⢸⠒⣦⠒⠩⠛⠁⣿⣿⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⢀⡼⠠⢿⡐⠂⠀⢀⡏⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠃⠀⠘⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠶⠒⠂⠀⠐⠶⠶⠶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠋⠀⣀⣤⢶⡿⠿⠿⢿⢶⣤⡀⠈⠙⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢀⣾⠋⠀⣸⣧⡀⣰⣾⡆⠉⢿⣶⣤⠤⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⢀⣾⠇⠀⣼⡿⠻⣿⡿⢻⣿⣆⠀⢻⣿⣤⣀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⢀⣸⣿⡄⢸⣿⠇⠀⠈⠀⠀⢻⣿⡄⣾⣿⣿⣿⣶⣄⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⡀⠀⠀⢈⣸⣷⣽⣿⣦⣝⣀⣤⣤⣤⣤⣼⣭⣾⣿⣿⣿⣿⣿⣿⣷⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⣤⣶⣶⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣭⣛⣿⣿⣿⣿⣿⡄⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡆⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣠⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣆⠄⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠿⢿⣿⣿⡿⣿⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡿⠁⠁⡿⢏⣺⣽⣷⣯⣿⡄⠀⡀⠀⠀⣼⣻⡿⠧⣤⡈⠛⠂⠀⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠉⡿⠋⢠⣶⣚⣿⡄⠀⠀⠀⢰⣿⣟⣳⣦⠀⢻⡀⠀⠀⠀⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⢻⣿⡇⠀⠀⠀⡇⠀⣿⣿⣭⣿⣷⠀⠀⠀⢸⣿⣯⣿⡿⡇⠀⡇⠀⠀⠀⣿⣿⠋⠁⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠋⠁⣸⣿⣿⠀⠀⠀⣧⠀⢻⣿⡿⠋⠁⠀⠀⠀⠀⠉⣻⣿⣿⣧⣀⠇⠀⠀⣴⣿⣿⡀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⣼⢻⣿⠃⢀⣶⣄⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⢀⣰⡇⠉⢻⣿⣷⡄⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠈⠸⠟⠀⢸⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⡄⠈⣿⣿⣇⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠃⠀⢸⣷⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠈⠙⢿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⠟⠉⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠙⠛⢿⡛⢿⣿⣿⡿⣿⣿⣿⠿⣻⠟⠛⠁⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⣤⡀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⣰⣷⣿⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠋⢿⡿⠉⠻⢿⣷⣦⣄⣀⣀⣀⣀⣀⣠⣤⣾⣿⣿⣿⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⢠⣿⠁⠀⠀⢸⣿⠋⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⢩⡀⠘⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⢀⣾⣷⣠⠤⣤⣸⡿⣿⣷⣶⣤⣤⣴⣶⣿⣿⢿⣿⣾⠿⠶⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⣀⣿⣿⠉⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠏⠀⠀⠀⢀⣴⣿⡟⣧⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⠿⣦⠀⠀⠀⠀⠀ ⠀⠀⣴⡿⠁⠀⠀⠀⣰⣾⣿⡿⠃⠘⣷⣶⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠾⣿⡶⣶⣿⡋⠘⣿⣿⣿⣿⣿⡇⠆⢽⣷⡀⠀⠀⠀ ⢠⣾⡛⠁⠀⠀⢠⣠⣿⣿⡿⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠁⠈⢿⣿⣿⣿⡿⠀⠆⠀⠙⣿⣧⡀⠀ ⠉⠉⠛⢶⣦⣠⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣃⣀⣠⣶⠿⠛⠉⠉⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⡿⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⢻⣿⣷⡽⠋⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⢄⠀⣹⠟⠁⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠻⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡄⠀⠀⢹⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⡾⠀⠀⠀⣀⡀⠀⠀⠀ ⠀⠀⠉⡇⠀⠀⢸⠆⠀⠀⢸⡿⠀⠀⠀⠀⠀⠂⣦⣶⣶⣶⣶⣤⠴⣶⣦⣹⣷⣾⣶⡶⠐⠒⠒⠲⠂⠸⣿⡀⠀⠀⣧⠀⠀⣸⠋⠉⠀⠀⠀ ⠀⠀⠀⣿⡀⢠⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣤⣬⣿⣿⣿⣿⣯⣤⠖⠂⠀⠀⠀⠀⢿⡇⠀⠀⠹⣆⠀⢿⠀⠀⠀⠀⠀ ⠀⠴⠚⠛⠛⠉⠁⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⠉⠹⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠈⠙⠚⠓⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣧⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠞⠛⠀⠀⠈⠉⠉⠛⠻⣶⣤⣀⠀⠘⠛⣿⡀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⢀⣠⣴⠞⠛⠋⠉⠁⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⣿⣄⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀ ⠀⢠⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣻⠀⠀⠀⠀⠀⠀⠀⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀ ⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⠀⠀⠀⠀⠀⠀⠀⠘⣿⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠀⠀⠀ ⠀⠀⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⡤⢆⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣿⠏⠀⠀⠀ ⠀⠀⠀⠙⠛⠻⠿⠿⠿⠾⠿⠿⠿⠟⠋⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠂⠉⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⡛⠁⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻🏻⬛⬛⬛🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻🏻🏻⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬛🏻🏻🏻🏻🏻⬛⬜⬜⬛🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻🏻🏻⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬛🏻🏻🏻🏻⬛⬜⬜⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻🏻⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬛🏻🏻🏻🏻⬛⬛⬜⬜⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬛⬛🏻🏻🏻⬛⬛⬜⬜⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻🏻⬛ ⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬛⬛🏻🏻🏻🏻⬛⬛⬛⬛⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻⬛ ⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛🏻🏻🏻🏻⬛⬛⬛⬛⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻⬛⬜ ⬜⬜⬜⬜⬜⬛🏻🏻⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛🏻🏻🏻🏻⬛🟦⬛⬛⬛🏻🏻🏻🏻🏻🏻⬛🏻🏻⬛⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🟦⬛⬛🟦⬛🏻🏻🏻🏻⬛🟦🟦⬛🏻🟥🟥🟥🟥🏻⬛🏻⬛⬜⬜ ⬜⬜⬜⬜⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🟦🟦🟦⬛🏻🏻🏻🏻⬛🟦🟦⬛🟥🟥🟥🟥🟥🟥🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟥🟥🟥🟥🟥🟥🏻⬛🟦🟦🟦⬛🏻🏻🏻🏻🏻⬛⬛🏻🟥🟥🟥🟥🟥🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟥🟥🟥🟥🟥🟥🏻🏻⬛⬛⬛🏻🏻🏻🏻🏻⬛🏻🏻🏻🏻🟥🟥🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟥🟥🟥🟥🟥🟥🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟥🟥🟥🟥🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛🟥🟥🟥🟥🟥⬛⬛⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛🟥🟥🟥🟥🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🟥🟥🟥🟥🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🏻🏻⬛🟥🟥🟥🟥🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬛🏻⬛🟥🟥🟥🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🏻🏻🏻⬛🟥🟥🟥🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻⬛🟥🟥🟥🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻🏻🏻⬛🟥🏿🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻🏻⬛🟥🏿🟥🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻🏻⬛🟥🏿🟥🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏻🏻⬛🟥🏿🏿🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻🏻🏻⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻🏻⬛⬛🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻🏻⬛⬛🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿🏿⬛🏻🏻⬛⬛🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏿🏿🏿🏿🏿🏿🟥🟥🟥🟥🟥🟥🏿🏿⬛⬛⬛⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏿🏿🏿🏿🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏿🏿🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡛⢿⣿⣿⣿⣿⡇⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⢿⣷⣝⢿⣿⣿⡿⣿⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⢫⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣵⢆⣿⣿⣧⡻⣿⣷⣍⡩⣷⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣦⠻⣷⣝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣩⣾⡟⣡⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣿⣿⣶⣮⣝⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢟⣥⣾⣿⣿⣿⢸⣿⣿⣿⣿⣿⡿⣸⣿⢛⢿⣿⣿⣿⡿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⠁⠀⠈⠉⠛⠻⠶⣮⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣡⡾⠋⠁⠀⠀⢹⡸⣿⣿⣿⣿⣿⣇⢿⣿⣽⣀⡙⢏⣿⣿⣴⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢋⡾⠋⠀⠀⠀⠀⠀⠀⢧⢻⣿⣿⣿⣿⣿⣎⠫⣛⢿⣿⣿⣿⣿⣿⣷⢹⣿⣿⣿⣿⣿⣿⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡜⣿⣿⣿⣿⣿ ⣿⣿⣿⢃⡟⠁⠀⠀⠀⠀⠀⠀⠀⠘⢧⡹⣿⣿⣿⣿⣿⡼⣮⡳⠙⣿⣖⣶⣿⢣⣿⣿⣿⣿⣿⣿⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠜⢿⣿⣿⣿ ⣿⣿⡏⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢿⣿⣿⣿⡇⣿⣿⣬⣒⢒⣦⣴⣿⣿⣿⣿⣿⣿⣿⢣⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢎⢻⣿⣿ ⣿⣿⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡼⣿⣿⣿⡇⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⡿⣣⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠹⣿ ⣿⡇⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠹⣿⣿⢹⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⢟⣩⠞⠁⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣿ ⣿⢰⠁⠀⠀⠀⠀⢀⢤⡠⡀⠀⠀⠀⠀⠀⠀⠘⢷⡙⠟⣼⣿⣿⣿⣿⣿⡎⠿⣛⣭⡶⠁⢶⣄⣴⣷⡧⡀⠀⠀⠀⠀⣀⠀⠀⣰⣶⣄⡀⠀⠀⠀⠀⢧⢹ ⡏⢸⠀⠀⣠⣾⡇⠟⣽⢻⠼⣣⠀⠀⣀⣀⠀⠀⢀⣙⢱⣿⣿⣿⣿⣿⣭⣶⣶⣮⠋⠀⠀⠱⣾⣟⣽⣑⡫⠀⢀⣶⣾⣿⣆⢤⡿⠿⢟⣿⣦⡀⠀⠀⢸⢸ ⣧⢸⣰⣿⣿⣿⢁⣛⢿⣮⣭⣷⣜⠿⠿⢿⣛⣴⡿⢣⠿⠟⠛⠿⣿⣿⣿⣿⣿⣿⣦⡀⢠⣶⢼⣷⡿⣋⠀⠀⠿⢿⣿⣿⣿⣷⢷⣵⣿⣿⣿⣿⣦⡀⢸⢸ ⣿⣀⣿⣿⣿⣿⣷⣿⣶⣦⣬⡛⠿⣿⣾⠿⢟⡫⢀⣵⣿⣿⣿⣿⣦⡙⢿⣿⣯⣝⡻⢿⣾⢍⣼⣿⢣⣿⣆⣠⣄⠀⠏⢯⠻⣱⣿⣿⣿⣿⣿⣿⣿⣿⡜⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⣿⣦⡙⠿⡿⢋⣾⣿⣿⣿⣿⣶⣾⡎⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣷⡰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢣⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣾⣿⣿⣿⣿⣿⣿⣇⢻⣿⣿⣿⡿⢋⣾⣿⣿⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣧⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⠘⠟⣛⣩⣴⣿⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣌⡻⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⡿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠿⢟⣵⣷⣾⣿⣿⣿⢫⣤⣍⠛⠿⠿⠿⣿⣷⡜⢿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⡿⢟⡫⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢯⣿⣿⣯⣿⣿⣿⣯⡷⣛⣭⠿⣿⣿⣿⣿⠿⣠⣿⣿⣿⣮⣝⡻⢿⣿⣿⣷⢨⣽⣿⣿⣿⣦⡙⣛⣭⡵⢞⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣹⣭⠭⢾⣓⣙⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣭⡅⡟⣛⢿⡿⣛⢿⣟⣈⢵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣜⢿⢎⣘⢿⡏⣬⣛⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠁⠀⠀⠈⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡅⠀⠀⠀⠀⠀⢀⠤⢄⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣧⠀⠀⠀⠀⠀⠀⣾⣦⣾⡇⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠸⣟⣛⡁⠇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠆⢄⣀⠤⠤⠤⠤⠄⢀⣀⣀⠤⠀⠀⢡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠘⡲⠤⢄⣐⣈⢀⣀⣂⠬⠞⠥⣦⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠂⠀⠀⢀⠊⠀⠀⠀⠀⠀⠈⡐⠁⠀⠀⠀⠈⣟⠪⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡄⢰⠀⠀⠀⢀⠁⠀⠀⠀⠂⠄⠤⠴⠁⠀⠀⠀⠀⠀⡿⠐⠨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠤⠤⠁⠠⠠⡼⠀⠀⠀⠀⢸⠀⢀⠄⠈⠡⢀⢀⢀⠜⢨⠁⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠆⢡⠀⠀⠀⠘⠀⠐⠒⠤⣀⠠⠞⠊⠀⢸⠐⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠄⠀⠀⠉⠉⠀⠀⠀⠀⠃⡀⠀⢸⠀⢸⢲⢼⠃⠀⠄⠈⠀⠀⠀⠁⢢⠀ ⠀⠀⠀⠀⠀⠄⠀⠢⠀⠀⠀⢀⠀⠀⠀⠀⠠⠉⠁⠀⠈⠪⣇⡎⡠⠁⠀⠀⣠⠤⣄⠀⠀⠆ ⠀⠀⠀⠀⢠⠀⠀⠀⠑⢤⠀⠚⠠⢀⡀⠰⠁⠀⠀⠀⠀⠀⢻⠊⠀⠀⠀⡞⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⡕⠂⠀⠤⠠⢽⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠂⠙⣄⡀⢀⢈⠔⠀ ⠀⠀⠀⠐⣄⢠⠀⣀⠴⠐⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⢨⠁⠒⠂⠐⠀⠀⠙⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠠⡀⢀⡡⢈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠿⠛⠛⠛⠛⠛⠛⠛⠿⠷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⠟⠛⠛⠛⠿⣦⣄⠀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠈⢙⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⢱⡀⠀⠀⠀⠀⡜⠁⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀ ⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⢰⡇⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⡇⠀⠀⠀⢸⣿⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⠀⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⣠⠶⠶⠶⣦⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣠⠖⠒⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀ ⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡛⠛⠉⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠋⠁⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠈⠙⠻⣶⣄⠀⠀⠀ ⠀⢀⣴⣿⠋⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⢻⣷⡀⠀ ⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣤⣤⣀⣀⠀⢀⣀⣠⣤⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀ ⠀⠻⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣬⣿⠟⠛⠻⣿⣯⣥⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀ ⠀⠀⠀⠉⠛⠛⠿⠿⠶⠶⠶⠶⠶⠿⠿⠿⠟⠛⠛⠋⠉⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⠿⠶⠶⠶⠶⠶⠾⠿⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠒⠒⠒⠠⢄⡀⠀⠀⠀⠀⢀⡠⠔⠊⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠈⠒⢤⠔⠊⠁⢀⣠⣶⡆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠬⢢⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⠀⠤⠤⠤⠤⠀⣀⣀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⣴⣿⣿⣿⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⡇⠀⣀⣀⣀⡀⠀⠀⠀⠈⠉⠐⠢⠞⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡙⠿⣿⣿⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⢃⠀⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠈⠻⢃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠘⠦⣀⣀⣀⣀⣀⣤⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⡠⠔⠀⡀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢇⠸⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢠⠋⠀⠩⣧⠀⠀⠀⢀⠆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠧⠤⠦⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠘⡄⠻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⢸⡀⠀⠀⠁⠁⠤⣠⠊⠀⡠⠪⢭⡭⢐⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠅ ⠀⠀⠘⢤⠘⠃⠀⠀⠀⠀⠀⠀⢀⠤⠂⠉⠀⢶⣆⡠⢍⡐⢕⠂⠤⠤⠐⠋⠀⠀⡘⡄⠀⠀⢹⣧⠑⡙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠀⠀⡰⠁⠀⢰ ⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⢹⡭⢧⡈⢢⠑⡀⠀⠀⠀⠀⠀⡇⣧⣀⣀⡼⣞⡇⢡⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠤⠨⠎⠀⠀⠀⠈ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡆⣄⠀⠀⠀⠀⠀⢸⡗⢮⡇⠈⠆⢃⠀⠀⠀⠀⠀⢡⢻⣟⣏⢧⡽⠃⡜⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⠀⡿⣦⣀⣀⣀⣴⠻⣜⣣⡇⠀⡸⢘⠀⠀⠀⠀⠀⠀⠡⢑⠭⠉⠠⠜⠔⢸⠒⠂⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⢇⠱⡙⢮⣳⣍⣖⣫⡼⠋⠀⢠⠃⠎⠀⠀⠀⠀⠀⠀⢀⠀⠁⠐⠀⠁⠀⡆⠀⢀⠞⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠢⡑⠤⡀⠈⠁⠀⠀⣀⠔⡡⠊⠀⠀⠀⡤⡤⠴⣲⠋⠀⠀⠀⠀⠀⣰⠥⠒⠁⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠈⠐⠠⠭⠉⠭⠥⠐⠈⣠⠤⣄⠀⠰⣇⡶⠳⡏⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⡦⢀⠀⠀⠀⠀⠀⠐⠦⡀⠀⠀⢠⣿⣶⣦⡰⣷⠀⠘⠦⠜⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡁⠢⢀⠀⠀⠀⠀⠈⠳⣴⣿⣿⣿⣿⣷⠟⠀⠀⠀⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠈⣐⣀⣀⣀⣀⣼⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠁⠒⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡨⠵⠂⠀⠘⡿⠿⠋⠁⠀⠀⠀⠀⠀⢀⣀⠤⠶⠭⠀⣀⣀⠀⠀⠤⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠀⠀⢀⡨⠝⠓⠒⠒⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠺⠤⠀⠤⠤⠤⠄⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠤⠛⠋⠉⠉⠉⠛⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠶⠓⠂⠀⠀⠠⠤⠤⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⡠⢤⠀ ⠀⠀⢀⢖⡃⠀⠀⠀⠀⢰⠀⣤⡄⠀⠀⠀⣹⠀⠀⠀⠀⢠⠔⠁⣼⠇ ⢀⡞⠉⠀⠑⣄⠀⠀⠀⠘⠀⠀⠀⠐⠀⣠⠋⠀⠀⢠⠖⠉⠀⢰⠏⠀ ⠈⠻⢄⣀⡀⢀⡇⠀⠀⠀⠀⠀⢀⡠⠟⠛⢤⣀⠜⠋⠀⠀⢠⠃⠀⠀ ⠀⣠⣴⠁⢉⣽⠟⠶⠶⠶⠾⡿⠁⡇⠀⠀⠀⠀⠳⣤⠀⢠⠇⠀⠀⠀ ⠰⣏⠈⠢⡎⠒⣄⠀⠀⢀⠶⢁⡠⠃⠀⠀⠀⠀⠀⢸⣄⠎⠀⠀⠀⠀ ⠀⠈⠑⣤⣧⠀⠈⠑⡄⣾⣴⢋⡔⢫⡉⠉⠉⠉⠉⠙⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⣄⠀⡞⢃⡴⠋⠀⠀⢙⠦⠤⠤⠤⠤⠤⢽⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⢹⣿⣀⠀⢀⡴⠋⠀⠀⠀⠀⣀⣤⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠈⣶⠊⠀⠀⣀⣠⠤⠒⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⣟⣤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡝⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⢉⣑⣚⣿⣿⣭⣈⣉⣉⡉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠁⣅⠀⠀⠤⠀⠀⣀⣀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠂⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢣⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⡆⠉⢀⣐⠒⠻⢷⣌⡃⣀⣛⣋⣩⣭⣭⣭⣭⣉⣙⣛⡛⠿⠿⠟⠁⣡⣦⣌⡉⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡸⣧⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⣸⣧⢘⣋⣭⣾⣶⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⠟⣛⣭⣝⡛⢿⣿⣶⣾⣿⣿⣿⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿ ⣿⡇⢿⣷⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢉⠠⣚⠀⣿⣿⡀⣿⣿⣿⣿⣿⠷⠄⠸⠛⠛⠉⠉⠉⠁⣾⡿⠛⠻⢿⣦⠹⢿⣿⣿⣿⣿⣿⣿⡄⣦⡈⠻⣿⣿⣿⣿ ⣿⣧⠈⣿⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿⠟⢁⡴⣡⡾⠛⢀⢿⣿⣇⢙⠛⣛⣭⣶⠾⠿⠆⢀⣤⣴⣶⡆⢰⣍⡀⠻⣿⣦⣝⠀⠀⠀⠉⠉⠛⠻⠿⢰⣿⣿⣷⡌⢿⣿⣿ ⣿⣿⡄⡘⣿⣿⣷⡈⢻⣿⣿⣿⡿⢁⣴⠏⣼⡿⢡⣧⡘⠘⣿⣿⠘⠿⢛⣩⣴⣾⣿⠇⣿⣿⣿⣿⡿⠌⠻⣿⣦⡈⠛⢿⣿⣦⣅⠲⣦⣄⡀⢠⣶⣝⢿⣿⣿⣆⠹⣿ ⣿⣿⣧⢳⡘⣿⣿⣿⣄⠹⣿⡟⢀⣾⣿⢸⣿⠇⠿⠿⠷⠀⠹⣿⡇⣿⣿⡿⠛⣉⡀⠐⠛⣉⣡⣤⣶⣶⣦⣄⣉⣁⣤⡀⠈⢉⣉⣉⡀⢋⣴⣦⡉⢿⣧⢻⣿⣿⡆⢻ ⣿⣿⣿⠈⣷⡌⢿⣿⣿⣧⡈⢀⣾⣿⠟⢈⣴⠞⣩⣴⣿⣶⣤⡙⢷⢸⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠿⠿⢋⣤⣾⣿⣿⡿⢡⠾⢛⣋⣭⡀⣿⡇⣿⣿⣷⢸ ⣿⣿⣿⣧⣄⡉⠂⠻⣿⣿⣷⣌⢿⡟⣠⣿⣿⣼⣿⣿⣿⣿⣿⣿⣦⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣤⠱⡄⢿⣿⣿⣿⡟⢀⣴⠞⣛⣩⡍⢱⣿⡇⣿⣿⡟⢸ ⣿⣿⣿⣿⣿⣿⣷⠦⠈⡛⢿⣿⣦⡁⢹⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣷⠀⠻⣿⣿⣿⣿⣿⡿⠟⣋⣁⠀⢸⣿⠇⠸⠰⣌⠻⡏⣰⠟⣵⣾⣿⡿⢁⣼⡿⢡⣿⡿⠁⣾ ⣿⣿⣿⡟⠛⣉⢠⣤⣿⣿⡆⠙⢿⣿⣦⣝⡛⠷⠌⠻⢿⣿⣿⣿⣿⡿⣰⠐⡀⡉⣋⣭⣴⣾⡿⠿⠏⠠⠈⠏⠀⣰⠗⣠⣄⢠⣿⡘⠿⠟⣋⣴⡿⢛⣵⣿⠟⢁⣾⣿ ⣿⣿⠏⣠⡏⣡⣤⣍⠻⠿⢃⠸⢀⠻⣿⣿⠻⢿⣿⣶⣶⣤⡩⣭⣭⣶⠟⡀⠃⠀⣿⣿⣿⠁⢐⡛⠿⣃⠄⠘⣛⠋⠠⢋⣥⠀⠙⣩⡴⠿⢛⣩⣴⣿⠟⢁⣴⣿⣿⣿ ⣿⣿⡀⡍⠀⠿⡟⢡⡄⢐⣿⡆⢿⣿⣿⣿⣷⡀⠈⠛⠿⣿⣷⣌⢭⣴⣾⣿⡀⠀⣿⣿⢃⣖⠈⣿⠂⢋⠾⢛⣥⡾⢀⢸⠇⢠⣷⣶⡎⣿⠿⠛⣉⣤⣶⣿⣿⣿⣿⣿ ⣿⣿⣧⠘⠘⢶⠀⠼⠃⡠⠆⢁⣾⣿⣿⡙⢿⣿⣆⠀⡇⠀⠙⠟⣦⠹⣿⣿⣧⡀⠛⣋⣼⣿⡄⠙⢨⣴⠾⢛⣩⣶⣿⠈⣰⡿⠟⢋⣡⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣶⣄⡀⢠⣤⠄⣠⣾⡟⠈⠛⢿⣄⠹⣿⣷⣤⣀⣀⣀⠙⢷⡜⢿⣿⣷⡈⢛⣩⣬⣤⣭⣤⣶⣾⣿⠿⠟⢋⣨⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⢃⣴⣿⠏⣠⣾⣿⣦⡙⠄⠈⡙⠻⠿⣿⣿⣿⣾⣿⣦⡙⢿⠇⢀⠙⠿⡿⠿⠛⢋⣡⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⢡⣾⡿⢃⣴⣿⣿⣿⣿⣿⡌⢀⠙⢷⣤⣀⡀⠈⣉⢙⡛⠿⡦⢀⣾⣍⡒⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⠐⠛⠉⠀⣿⣿⣿⣿⣿⣿⠟⠤⠂⠀⠈⠙⠻⣿⡀⢸⣌⣴⣦⣤⡾⠛⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠃⣠⣶⠸⣿⣿⣿⡟⠁⢀⡴⢢⣶⣤⣐⠀⠉⠃⢹⣿⣿⡿⢋⣴⠇⠅⢸⣿⣿⡿⠿⢟⣛⣛⣛⡛⣛⣛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⢀⣼⣿⣿⣧⠹⣿⡿⢀⣴⢏⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⢟⡥⠊⠀⠋⡉⠴⠶⠿⠿⠿⠿⠿⠋⢤⣄⠂⠚⡒⢤⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠏⢀⣾⣿⣿⣿⣿⡗⣈⠷⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⡠⢋⠴⠋⠀⡠⠂⣡⣤⣶⣶⣿⣿⣿⣿⣿⣶⣦⣌⡁⠀⢐⠀⡑⠀⣀⡉⢻⡿⢿⣿⣿⣿⣿ ⣿⣿⣿⢏⡆⣾⣿⣿⣿⡿⠟⣰⡿⢡⣄⡚⠿⣿⣿⣿⣿⣿⡿⠋⠐⢋⠔⣁⠀⠀⠈⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⢁⡆⢀⣿⣿⠀⠀⠀⣿⣿⣿⣿ ⣿⣿⡿⣸⣸⣿⣿⣿⡟⣱⡿⢛⢻⡆⣿⡿⢣⣶⣬⡭⠉⣉⣤⠀⠂⣠⣾⡏⠀⠂⠘⠈⠆⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡀⣸⠀⢸⣿⣿⢰⡇⠀⣿⣿⣿⣿ ⣿⣿⡇⣿⣿⣿⣿⣿⢁⣿⢁⣿⡆⣧⢸⡇⣾⣿⣿⡇⢸⣿⣿⣶⣾⣿⣿⡇⠀⢀⣴⣶⣤⣄⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⣱⡿⠀⣼⣿⡏⣸⠃⠁⣿⣿⣿⣿ ⣿⣿⣇⣷⣿⣿⣿⣽⢸⣿⠈⣿⣷⢹⡌⣇⢹⣿⣿⣧⠈⢿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⠿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣴⣿⣇⢀⣿⣿⠁⡩⠈⣠⣿⣿⣿⣿ ⣿⣿⣿⠸⢹⣿⣿⣿⡆⢿⣧⡘⢿⠇⣷⢸⡌⣿⣿⣿⣷⣄⠙⠿⠟⠛⡉⠁⣀⣤⣤⣤⣤⡤⠀⢀⣼⣿⣿⣿⣿⡿⠿⢋⡠⢔⣀⣩⠙⢼⣿⢃⡄⢠⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣧⠂⢻⣿⣿⣿⣌⠿⣿⣶⣾⣿⣌⣥⣄⢶⣶⣬⣝⡻⢶⣦⠈⡇⣼⣾⣶⣶⣶⣦⣄⢰⣄⠉⣉⣩⣤⡤⠶⢿⠟⡔⣥⠖⡈⣠⡆⣠⡞⢠⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⡀⠻⣿⣿⣿⣷⣬⣭⣥⣬⠹⣿⡁⣦⡐⢶⣭⡻⣦⠻⠀⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⠹⢫⢔⣠⠙⡖⣪⡑⢒⣩⡾⢋⣈⣉⣤⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⡈⠻⣿⣿⣿⣿⣿⣿⣧⡙⠷⣮⣉⣒⣈⣁⣟⣳⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠻⠬⠔⢊⣈⣥⡶⠟⣩⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡙⢿⣿⣿⣿⣿⣿⣷⣦⣭⣉⣉⣩⣴⢂⡸⠛⣻⣿⣿⣿⡭⠭⠉⠉⠛⠋⡅⣼⣿⣿⠿⢛⣩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣍⡛⠻⠿⠿⢿⣿⣿⠿⢛⣡⣾⣇⣀⣀⣠⣤⣤⣤⣤⣤⣤⣴⡶⠁⣉⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⡄⠒⠿⠿⢿⣿⠿⠿⢿⠿⠛⠛⢛⣋⣉⣉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣿⡿⠿⠿⣧⣤⡿⠿⠿⠿⠿⢿⣤⣼⠿⠿⢿⣿⠀⠀ ⠀⠀⣿⣷⣦⠀⠛⣿⡇⠀⠀⡄⣴⡞⠛⠛⠀⣴⣾⣿⠀⠀ ⠀⠀⣭⡿⠟⠀⣤⣤⡼⢿⣤⣤⡿⢧⣤⣤⠀⠻⢿⣭⠀⠀ ⠀⠀⣿⡇⢰⣶⣉⣿⣷⣾⠉⠉⣷⣾⣿⣉⣶⡆⢸⣿⠀⠀ ⠀⠀⣿⡇⠘⠛⣿⣿⡟⠛⠀⠀⠛⢻⣿⣿⠛⠃⢸⣿⠀⠀ ⠸⣿⣏⣁⣀⠀⠉⠉⠁⠰⠿⠿⠆⠈⠉⠉⠀⣀⣈⣹⣿⠇ ⠀⠀⠛⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠛⠀⠀ ⠀⠀⠀⣬⣽⠿⠿⠿⢧⣤⣤⣤⣤⡼⠿⠿⠿⣯⣥⠀⠀⠀ ⠀⠀⠀⠙⢻⣶⣶⣶⣾⠛⠛⠛⠛⣷⣶⣶⣶⡟⠋⠀⠀⠀

🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟥🟥 🟦🟦🟦󠁛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟥◼🟥 🟦🔳🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ◼🟥◼ 🟦🟦🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟥◼🟥 🟦 ◼ 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟥🟥🟥 ◼ 🟦 ◼⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟥🔳🟥 🟦◼ 🟦⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟥🟥🟥 🟦🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟥🟥🟥

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠀⠙⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠈⠛⢿⣷⣄⠀⠀⠀⠀⠀⢀⣤⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⠿⠟⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡄⢀⣠⣾⡿⠟⠉⠹⣿⣦⡀⠀⠀⠀⣀⣤⣶⡿⠟⠛⠉⠁⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡟⠋⠀⠀⠀⠀⠈⠻⣿⣦⣴⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⡀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⣠⣼⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠏⠉⠻⢿⣷⣦⣄⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⢷⣶⣴⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠈⠛⠿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠶⣶⣦⣤⣤⣾⠟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠉⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⠇⠀⠀⣴⡿⠻⣷⡄⠀⠀⠀⠀⠀⠀⣀⣿⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠘⠛⣤⣴⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣷⡝⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠹⣿⣿⣿⠿⠛⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣆⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣀⣠⣤⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢻⣿⣾⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡉⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣦⣄⠀⠀⠀⢈⣿⡟⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣆⠀⠀⠉⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⣿⡇⠀⠀⠀⠀⣀⡀⠀⢀⣤⣤⣴⣿⣿⣿⣏⣡⣿⠿⢿⣦⣄⣾⡟⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠘⣷⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠘⠿⣾⣿⣄⠀⠀⢀⣾⡿⠿⣶⣿⣏⠉⠉⠉⠉⠉⠛⠛⠻⠷⣾⣿⣿⡏⠀⠀⠀⠀⠀⠈⢿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣿⣿⣄⠀⠀⠘⣇⢀⣴⡾⠟⠻⢷⣦⣄⡀⠀⠀⠀⠀⢀⣴⡿⠻⣿⣄⣠⣿⠋⠻⢿⣦⣾⠟⠀⠀⠈⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣄⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀ ⠀⢀⠀⢀⣀⠀⠀⠀⢀⣾⡿⢿⣿⣿⣦⠀⣠⣿⡿⠋⠀⠀⠀⠀⠈⠙⠻⢷⣦⣤⣴⡿⠋⠀⠀⠈⠻⠿⠁⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠈⢻⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀ ⢰⣿⡟⠛⠿⢿⣷⣶⣾⣿⠁⠀⠙⠿⣿⣾⠟⠁⠀⠀⠀⢰⣶⣶⣄⠀⠀⠀⠈⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⡛⠶⣤⣀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀ ⠈⢿⣿⣷⣄⠀⠀⠉⠙⠻⢷⣶⣤⣀⠈⠁⠀⠀⠀⠀⠀⢸⣿⠏⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⡀⠉⠛⠶⣦⣄⣀⣀⣾⠇⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀ ⠀⠘⢿⣧⡙⢷⣄⡀⠀⠀⠀⠈⠙⠛⠿⣶⣄⡀⠀⠀⠀⠘⣿⣤⣤⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⠻⣷⣄⡀⠀⠀⣩⣿⠏⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀ ⠀⠀⠈⢿⣷⡄⠈⠛⠷⣤⣀⠀⠀⠀⠀⠈⢹⣿⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⢹⣿⡿⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀ ⠀⠀⠀⠀⠻⣿⣆⠀⠀⠀⠙⠛⢶⣄⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣷⣄⠀⠀⠀⠀⠈⠛⢷⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠷⢶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣀⣀⣿⡷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⣦⣀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⢰⣶⠶⢶⣶⣦⣤⣤⣀⣀⠀⠀⠈⠉⠛⠻⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⠉⠉⠉⢿⡏⠛⢿⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠉⠛⠿⢷⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠘⣿⣆⠀⠀⠀⠈⠉⠙⠛⠿⢶⣦⣄⡀⠀⠀⣹⡿⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⣸⡇⠀⠈⢿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⣻⣾⠿⠛⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⢠⣿⠃⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⣀⣤⡤⢴⣿⡧⣤⡀⠈⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⣴⣿⣿⡄⠀⠀⠈⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⣼⡟⠀⢀⣿⠇⠀⠀⠀⠀⠀⣰⡿⠁⠀⢀⣠⡶⠛⠉⠀⠀⢰⣿⠀⠈⠹⣆⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⣰⣿⣿⣿⣿⡄⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠙⢿⣦⣀⠀⣠⣾⠟⠀⢠⣾⠏⠀⠀⠀⠀⠀⣰⡿⠁⢀⣴⠟⠉⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⢻⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⢠⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠉⠛⠛⠛⠁⠀⢠⣿⠏⠀⠀⠀⠀⠀⢰⣿⠁⣰⠟⠁⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠈⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣾⣿⣿⣿⣿⡟⠙⠻⣷⣤⡀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣄⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⢀⣿⢃⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⠁⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⣤⣾⠟⠀⠀⠀⠀⠀⢀⣠⣼⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣶⣤⣀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠛⣿⡿⠁⠀⠀⠀⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⢀⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣷⣾⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠛⠉⠀⠀⢀⣿⠀⠀⠀⠀⣸⡟⠉⠉⠉⠉⠉⠉⠉⠛⢻⡿⢀⣾⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⡀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⡏⠉⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣋⣀⣤⣤⡶⠞⠻⣿⡀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⣠⣿⢃⣾⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣍⠁⠀⠀⠀⠀⣿⡇⠀⠀⠀⢿⣧⣀⠀⠀⠀⢀⣠⣴⡿⣡⣿⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠙⠛⠿⠿⠿⠛⠛⣡⣾⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠟⠛⠻⢷⣶⣦⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣿⣦⣶⣾⡿⢿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⡁⠀⠀⠀⠈⠹⣯⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⠉⠛⠿⢿⣶⣶⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣫⣶⠟⠃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢏⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣀⣀⣀⣀⣀⣀⠀⠀⣀⣿⣀⣀⣠⣤⣴⣶⣾⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠛⠻⠿⠟⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡴⣧⠔⠋⠀⠞⣛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⢙⡔⠁⢀⣠⡴⠾⠛⠓⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣷⣾⣶⣿⣭⡤⢤⣤⣤⣤⣄⣈⣓⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣡⣀⡀⠸⡏⠙⠻⣤⣾⣿⣿⣶⡢⢿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⢻⣽⡷⣿⠀⠀⠀⠙⣿⣿⣿⡗⡺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣥⣞⡟⠀⠀⠀⢠⣿⠟⡣⡍⠵⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠏⠁⠀⠀⠀⢀⠏⠀⣘⣱⡼⠛⠓⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡘⠀⠀⠀⠀⠀⠘⣆⠠⣟⡟⠀⠀⠀⠀⠀⠀⠉⢲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠁⠀⠀⠀⠀⠀⠀⠈⠳⣾⠁⠀⠀⠀⠀⠀⠀⠀⠈⡳⢿⣧⠀⠀⠀⠀⣀⠴⠢⠤⣄⡀⠀⠀ ⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⡀⢗⣺⣿⠀⢀⣠⠔⠉⠀⠀⠀⠉⠓⠤⣀ ⢸⢠⠀⠀⡄⠀⠀⢀⠀⢣⡀⣿⣏⢟⣛⠶⣛⠷⣄⣦⡝⡾⣜⣿⢿⡿⣏⣶⣶⡶⠶⢛⠩⢛⣾⡏ ⢹⣸⠀⠀⢧⡀⠀⠘⡄⠀⣧⡆⢿⡞⣧⣻⢼⡻⣿⣶⣿⣽⡟⠋⢈⣷⡿⣏⣶⣹⣭⣦⣇⡦⠶⠛ ⠀⠙⢇⣰⣸⣷⡀⠀⢳⣀⡟⠁⠈⢿⣳⣝⢾⣱⢿⣎⠁⠉⠀⠀⡈⡟⡍⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠫⣉⠙⠒⠚⠉⠀⠀⠀⠀⠙⠿⣟⡿⠞⠋⠀⡀⠀⠀⠑⡸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⠈⠢⣄⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⣀⣨⠷⢲⣶⣤⣤⡤⠶⡶⠒⠉⠁⠉⠁⠚⠓⠤⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠚⣻⣭⠻⣟⣹⡭⠶⢧⢮⠿⣻⠅⠀⠛⠶⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠋⠉⠧⠶⡟⢁⡷⢤⠾⢏⠉⢁⡴⠛⠙⠒⠒⠓⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⣇⠴⠾⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ ᔦꙬᔨ (Ꙭ) 💥 ‼️ 🎮

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⠲⢄⠞⠃⢀⡌⣿⠀⠀⠀ ⠀⠀⣀⣀⠀⡰⠟⡡⠂⣈⣀⠀⢀⠏⠁⢹⢄⠄⠀ ⠀⠀⡏⠉⠾⠟⠛⠻⢏⠀⢈⢆⠘⠀⠀⠀⢫⢻⡀ ⠀⣸⠇⡀⠀⠀⠞⠀⣤⠀⢀⠙⢦⠀⠀⠀⡸⢸⡇ ⢠⡟⠎⠞⠀⠀⠀⠸⢆⣱⡈⠁⣠⠈⢺⡋⢀⢌⡇ ⢬⠂⠑⢛⣛⣛⣛⣻⠁⠀⠑⠠⠉⠤⠌⠻⡋⠀⠀ ⠈⠓⠄⠤⢵⡄⠀⠀⠁⠢⠤⠂⠄⠀⠀⠀⠸⡆⠀ ⠀⠀⠀⠀⠈⣀⠀⠐⠲⠦⢤⢼⣄⠀⠀⠀⠀⣇⠀ ⠀⠀⠀⠀⠀⠈⠉⠐⠒⢆⣡⣃⠉⠐⢖⣀⡼⠀⠀