Tails Doll Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢋⣼⠟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣵⣊⣸⣠⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⣿⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡿⢸⠀⠀⠀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⠾⠛⠛⠛⢷⣄⢰⡇⢸⠀⣠⡾⠛⠉⠁⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠟⠁⠀⠀⠀⠀⠀⢿⣼⡇⢸⣴⡿⠁⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀ ⢰⡟⠀⠀⠀⠀⠀⠀⠀⣼⠟⢷⡾⠛⠛⠛⠛⠓⠶⢦⣄⡀⢸⡇⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⢠⠂⠲⡆⠀⡇⠉⢳⡌⠛⢾⣇⠀⠀⠀⠀⠀⠀ ⢸⣧⠀⠀⢀⣤⣾⢟⣥⣶⣧⡀⢸⠀⠀⣿⣄⡱⡀⢸⣧⣴⣾⣿⣆⠀⠀⠀⠀⠀ ⠀⣿⠶⠿⠛⡯⢠⡿⠋⠀⢈⣷⣌⣄⢠⣿⣍⠛⠷⣾⣿⣷⡄⢹⣿⡄⠀⠀⠀⠀ ⠀⣿⠀⠀⡜⢀⣿⠁⠀⢀⣾⣿⣿⣿⣾⣿⣿⡄⠀⢸⣿⣿⣿⡆⣿⡇⠀⠀⠀⠀ ⠀⣿⠀⠀⢱⢸⣯⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⣀⣸⣿⣿⣿⡇⣹⣷⡀⠀⠀⠀ ⠀⣿⣦⡶⠾⠿⣿⣆⠀⠀⠻⣿⣿⣿⣿⣿⡿⣉⣠⣬⣽⣿⣿⣵⡿⠹⣧⠀⠀⠀ ⠀⠘⣿⡅⠀⠀⠀⠙⠿⣶⣤⣤⣭⣽⠿⠋⠀⢿⣿⣿⣿⠋⠉⠁⠀⢈⣿⠀⠀⠀ ⠀⠀⠙⣷⣄⠀⠀⠀⠔⠀⠀⠈⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⢀⣾⠏⠀⠀⠀ ⠀⠀⠀⠈⠛⢷⣦⣄⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⢛⣻⣷⠶⠶⢶⣶⡶⠶⠶⠿⠿⣿⣿⣤⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⢀⣴⠾⠿⣿⠿⣿⣄⣴⠷⢾⠏⠀⠀⠀⠀⠀⠙⣿⠟⠻⣯⡍⠻⢶⡄ ⠀⠀⠀⣴⡟⠁⣼⠛⠃⠀⠀⠹⣧⠀⣿⡀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠁⢻⣀⠈⣿ ⠀⠀⢸⡏⠀⣶⠳⠂⠀⠀⠀⠀⣿⡇⠹⣄⡄⠀⠀⠀⠀⣰⡟⠀⠀⠀⢹⠁⠀⣿ ⠀⠀⣸⡇⢠⣏⡀⠀⠀⠀⠀⢠⣿⡇⠌⡙⢷⢶⣤⣴⣶⢿⣄⠀⠀⢰⠞⣠⣾⠋ ⠀⣰⡟⢿⣄⣳⡀⠀⠀⢀⣴⣿⡟⠿⠶⢟⡿⠿⠛⣿⢿⡄⠙⠻⠾⠿⠿⠋⠁⠀ ⢠⡿⠀⠀⠉⠛⠿⠶⣿⡿⠋⠈⠻⢶⣶⠾⣿⡶⣾⣏⡈⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣧⣀⠀⠀⠀⠀⣠⣿⠵⠶⠶⠾⣿⣿⣂⣿⣧⢿⡟⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠙⠛⢻⡿⠛⢻⣧⠴⠶⠶⣿⣯⣅⣨⣿⠴⣾⣿⢛⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣇⣀⣈⣿⡄⠠⣤⣿⠀⢨⣿⠃⢠⣿⢗⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠛⠉⠉⢿⣦⣾⣠⡾⠟⠻⢶⣴⣿⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬛⬜⬜⬜⬜⬜⬛🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧⬛⬜⬛⬛⬛🟧🟧⬛🟧🟧🟧 ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬛🟧⬛🟧🟧🟧🟧🟧🟧🟧⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬜⬜🟧🟧🟧🟧🟧🟧🟧🟧🟧⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🟧🟧🟧⬜⬜🟧⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧⬜⬜🟦🟧🟦⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬜⬜⬛🟧⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜🟧🟧⬜🟦⬜🟦⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛🟧⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬛⬜⬛🟧⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟧🟧🟧🟧⬛⬛⬜⬜⬜ ⬛⬜⬛⬛⬜⬜⬜⬜⬜🟧⬛🟧🟧🟧🟧⬜⬜⬛⬜⬜⬜ ⬜⬛⬛⬛⬜⬜⬜⬜🟧⬛⬛🟧⬛🟧⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬛⬜⬜🟧🟧🟧⬛🟧⬛🟧🟧⬜⬜⬜⬜⬛⬜⬜ ⬜⬛🟧⬛🟧🟧🟧🟧🟧🟧🟧⬛🟧🟧⬜⬜⬜⬜⬛⬜⬜ ⬜⬛🟧⬛🟧🟧🟧🟧⬛⬜⬜⬜⬛🟧⬛⬜⬜⬛⬜⬛⬜ ⬛🟧⬛🟧🟧🟧🟧🟧⬛⬜⬜⬜⬛🟧⬛⬛⬛⬜⬜⬜⬛ ⬛🟧⬛🟧🟧🟧🟧🟧⬛⬜⬜⬛⬛🟧⬛🟧⬛⬜⬜⬛⬜ ⬛🟧⬛🟧🟧🟧🟧🟧⬛⬛⬛🟧⬛🟧⬛🟧⬛⬛⬛⬜⬜ ⬛🟧🟧⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬛⬛⬜⬛⬛⬜⬜ ⬛⬛🟧🟧⬛⬛🟧🟧🟧🟧⬛🟧🟧🟧⬜⬜🟧⬜⬜⬛⬜ ⬜⬛⬛🟧🟧🟧⬛⬛⬛⬛🟧🟧🟧⬜⬜⬜⬜🟧⬜⬜⬛ ⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛

⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬛🟦⬛⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜ ⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟨⬛🟦🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟨🟨⬛🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟨⬛🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜🟦🟦🟦⬜⬜🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜🟦🟦⬜⬜⬜⬜🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬛⬜🟦⬛⬜⬜⬜🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬛⬜🟦⬛⬜⬜⬜🟦🟦🟦🟦🟦⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬜⬛⬜⬜🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬛🟨🟨⬜⬜⬜🟨🟨🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬜⬜⬜⬜⬜⬛⬛⬛⬛🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟨🟨🟦⬛⬛🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬜⬛🟨🟨⬛⬜⬜⬛🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬜⬛🟨⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬛⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛🟥🟥⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟥🟥⬛⬛⬜⬜🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜ ⬛🟥🟥⬛🟥🟥🟥🟥⬜🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⡿⠁⣈⠙⠻⢿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠙⠛⠿⣿⣿⣿⣿⡇⢸⣿⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣧⣈⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣴⠀⠀⣿⣿⣿⣿⣿⠉⠙⣷⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡿⠀⠀⣿⣿⣿⣿⣿⠀⠀⣿⠂ ⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠁⠀⠀⠈⠻⠛⠙⠋⠀⣠⣿⡀ ⠘⠛⠋⠉⠀⠀⠀⢨⣿⣿⣿⣿⡟⠉⠛⠛⠷⣶⣤⣤⣤⣤⣤⣶⠶⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠀⠰⣦⣀⠀⠀⠀⠉⠉⠀⠀⠀⢸⡿⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣷⣄⡈⠙⠻⠿⠖⠀⠀⠀⣀⣴⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠿⢶⣶⣶⣶⠶⠟⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣤⣤⣄⠀⠀⡟⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⣤⣀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡼⠋⠁⠀⠀⠘⡆⠀⠀⠀⠀ ⠀⣿⠀⠘⢷⣀⡇⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⡼⠁⠈⠳⢄⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢷⣼⡄⠀⠈⢿⡇⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢰⠁⠀⠀⠀⠀⠑⣄⠙⢷⡄⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡄⠀⠘⣧⠄⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⣾⠀⡎⠀⢠⠖⠒⠒⠠⢌⣳⡀⠹⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀ ⣦⠀⠈⢻⠴⠊⠀⠀⠀⠀⠘⢷⣀⣤⠤⢤⣄⢀⡏⢰⠃⡰⠁⠀⢀⣠⠴⠚⠉⠙⠀⠈⠈⠉⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀ ⠾⠷⠖⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣿⢺⡇⢸⣰⠁⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣾⡟⠛⠛⠛⠛⠛⠒⠒⠿⠦ ⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⢸⡇⢸⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠯⠭⠷⠶⣶⣄ ⠉⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣟⠀⠀⠀⠘⡇⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠒⠶⣖⡒⠒ ⠀⠈⢳⡀⠀⠀⠀⠀⣤⡶⠞⣫⡟⠙⣇⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠉⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⢶⣤⣄⡉⠛ ⣄⠀⡀⠙⠶⣤⣤⣞⣋⡤⠞⠉⠀⢰⣿⣧⣀⣸⠁⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⣀⡞⠀⠀⢠⡶⠛⢷⠀⠀⠀⠀⢻⠶⣄⡙⢯⡽⠳ ⠈⠓⠍⠀⠀⠀⣯⡉⠁⠀⠐⢶⣶⠤⣽⣷⣌⠛⠦⣀⠀⠀⠀⢰⠏⠀⠀⠀⠀⢀⣴⡟⠀⠀⢠⣏⠀⠀⢸⡆⠀⠀⠀⢸⣠⠞⢻⣦⡙⣆ ⣆⠀⠀⠀⠀⠀⠈⠻⣄⣀⣀⣠⣼⣿⢦⣀⠉⠃⠀⠈⠓⢤⡀⡞⠀⠀⠀⠀⠀⡾⡽⠁⠀⢀⣿⡟⠀⠀⢸⡇⠀⠀⠀⠘⢁⡴⠋⠀⠻⣎ ⠉⢳⣄⠀⠀⠀⠀⠀⠙⢿⣿⣛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠙⢿⣀⠀⠀⠀⢸⣿⠃⠀⢠⡟⡱⠃⠀⠀⣼⠀⠀⢀⣰⣿⠟⠁⠀⠀⠀⠈ ⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⢻⣟⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣦⣄⠈⠁⠈⠁⣹⣿⣁⠀⠀⢰⡏⠀⠠⣬⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠲⠿⣯⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠙⣿⣷⣄⠀⠈⠿⣶⠿⠇⣠⠏⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⡀⠀⠀⠀⠀⠀⠀⠹⡟⠲⣄⡀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠴⠥⣀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡶⢄⢹⠘⣷⠀⠀⠀⠀⠀⠀⠀⠹⡄⠈⠙⣦⡀⠀⠀⣸⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠠⣬⣉⣓⣾⣟⡛⠛⠓⠲⠶⢤⣄ ⠀⠀⢁⠀⠙⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⢻⣄⣐⣾⠷⣄⠀⢯⡀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⠉⠻⣄⡉⠁⠀⠀⠀⠀⢀⣤ ⠀⠀⠈⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⣠⡼⣿⣧⡉⠂⠈⠻⣮⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠻⣍⠉⠓⠲⢿⣦⠀⠀⢀⡴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⣠⡾⠋⠀⢸⡄⠁⠀⠀⠀⠈⠻⢏⣽⠿⠻⣿⣟⢒⣶⣤⣄⡀⠹⣷⠦⣜⣧⡀⠀⠀⠈⠁⢠⣟⡁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣼⠋⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⣽⣟⣉⡠⠔⢻⠷⢼⣆⠀⠙⠷⠀⠀⢀⣴⠿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠿⠿⣾⠿⢤⣀⡾⡶⠀⣉⡀⠀⠀⠀⠀⠈⢁⡾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣾⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣅⠀⢀⠴⠋⠉⠒⠦⢍⣙⣻⣍⠙⡇⠀⠀⠀⠀⣼⠃⠀⠀⠀⣠ ⠀⠀⠀⠀⣀⡴⠛⢉⣈⣽⠟⠋⠁⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠙⡗⠤⢄⣀⠀⠀⠀⡏⠀⣹⠛⠛⣆⢀⣤⣸⠇⠀⠀⠀⣴⡿ ⣠⣶⡿⢿⠟⠁⢰⡟⠋⠀⢀⣠⠶⣿⣦⡙⠦⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣆⣷⢤⡀⢀⣉⡓⡶⠛⠲⡇⠀⠀⢸⡏⢸⠏⠀⠀⢀⣼⡿⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠄⠒⠋⠉⠉⠉⠉⠉⠉⠉⠑⠒⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⣑⡦⣄⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠴⠿⠷⠶⣶⣦⣤⣤⣀⡀⠀⠀⠀⢸⣿⡀⠉⠛⢽⢦⣀⠀⠀⠀⠀⠑⢄⣀⣀⣠⡤⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⣻⡿⠟⠒⠀⠀⢾⣙⣇⡠⠖⠋⠉⡉⠀⠀⠀⠀⠀⠈⠻⡏⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠈⠿⠏⠀⡠⠊⢉⣉⡉⠲⢄⠀⠀⠀⠀⢹⣄⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⡼⠋⠉⠙⢷⣌⣣⡀⠀⠀⠚⣡⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣸⠀⠀⣠⡀⠀⢻⣟⠓⠀⠀⢸⢿⠷⡞⠉⠒⢄⠀⠀⣀⡀⠀⠀⠀⠀ ⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⢿⠀⢀⣯⡽⠀⠀⢿⡄⠀⢸⣿⣸⠀⠈⢆⠀⠈⡷⠉⢁⣈⣑⣄⠀⠀ ⠀⡸⠀⠀⠀⠀⣀⣤⣶⣿⡿⠋⠀⠀⠀⠀⢀⣠⡬⢧⣸⣿⠃⠀⠀⠀⢣⣀⣾⣿⣏⡀⠀⢀⡇⠀⡇⡴⢉⣀⠤⠼⣧⠀ ⢀⠇⠀⠀⣠⣾⠿⠛⠉⡟⠀⠀⠀⠀⠀⢳⣼⡋⢶⢾⡉⠓⠤⡠⠤⠒⠊⠙⣿⣿⠿⠃⠀⣸⡇⠀⢉⣇⡼⢀⡠⠤⣼⡇ ⠘⠀⣠⡾⠋⠁⠀⠀⡼⠀⠀⠀⠀⠀⣴⣾⣿⣷⣌⡑⠛⠢⠄⠀⠀⢀⣀⡤⠚⠁⠀⠀⣰⡇⠹⣶⡏⠀⢹⡏⢀⣠⣼⠀ ⢸⡾⠋⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⣾⡿⠟⢛⣻⠿⠛⠋⡿⠓⢛⡽⠟⠣⣄⠀⠀⠀⠀⢿⠾⡄⠙⠳⠤⣤⡭⠿⠛⠁⠀ ⠀⠁⠀⠀⠀⠀⠀⢰⡇⠀⠀⣴⡿⠋⡴⠊⢁⡠⠴⠚⡏⠀⢀⡏⠀⠀⠀⠈⢏⠒⠢⠒⠉⢦⡀⠀⣰⡾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⣼⠋⠀⠀⢧⠀⠘⣿⢳⢤⣸⣦⡀⡇⠀⠀⠀⠀⢸⠓⠦⠤⠔⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢇⣸⠁⠀⠀⠀⣼⣷⣤⠎⠘⢒⡇⠈⠉⢻⡄⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠘⢺⣶⠆⣠⠞⠁⠀⠀⢸⠱⣤⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⣀⠀⢀⢠⣿⡾⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣷⡿⠿⡿⠛⡿⣹⠁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⣰⢁⠇⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢴⠁⢠⣿⣞⣀⣼⠷⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠸⣤⡯⠤⠟⠛⡦⠀⣀⠤⢶⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢷⡦⠀⠀⢠⡔⢯⠁⣀⣉⣉⡠⢿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠜⠓⠶⣤⣄⣀⣀⣼⡞⠛⡟⠉⠀⠀⢀⠔⠛⠓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣁⣀⡀⠀⠀⠀⠑⢄⠀⠀⢧⣼⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠉⠢⡀⠀⠀⠈⡆⢀⣾⣿⣀⣀⢸⡁⠀⠀⠀⠀⠀⠀⠀⢀⣹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⣠⡿⠟⠁⠉⠉⠛⠛⠛⠿⠶⠶⠶⠶⠿⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣥⡀⠀⠀⠀⠀⠀⢀⣀⣤⡷⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⠶⠾⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⠲⡀⠀ ⡜⠠⠂⢍⡒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢔⠥⠊⠀⢁⢇⠀ ⡇⠀⠀⠀⠈⠐⠄⡙⠢⣄⠀⠀⠀⠀⠀⡠⢊⢔⡡⠔⠒⠂⠒⣚⠤ ⡇⠀⠀⢠⠒⠀⠂⠨⠴⡌⠳⢤⣤⣤⣎⣠⡶⠋⠀⢀⠤⡒⢩⢸⠀ ⡇⢀⠀⡇⠀⠀⢀⠤⠒⠉⠁⠀⠀⠀⠀⡜⠀⠠⠐⠉⠉⠑⠢⢾⠀ ⡇⠸⠀⠃⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢤⡴⠶⠦⣤⣳ ⢸⠀⢄⢠⠋⠀⠀⠀⠀⢀⠔⠒⠢⠀⠀⠁⢢⠤⣀⠀⠘⢆⢸⠀⠀ ⠀⢧⠘⠎⠀⠀⠀⠀⡐⠁⠀⠀⠀⠃⠀⠀⠀⠀⠈⠑⣄⠈⡇⠀⠀ ⠀⠈⢦⠀⠀⠀⠀⠰⠀⠀⠀⢰⣦⢸⠀⠀⣰⣷⠀⠀⠀⡳⠃⠀⠀ ⠀⠀⠸⠀⣀⣀⠀⢰⠀⠀⠀⡊⠁⢸⠀⠀⢸⢸⠀⠀⢠⣇⣠⠀⠀ ⠀⠀⠀⢧⢹⡌⠉⠒⠆⠀⠀⢧⡿⢸⠀⠀⢸⣼⠀⠀⠙⠁⢜⡀⠀ ⠀⠀⠠⢞⡉⠁⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠲⠂⠀⠀⡠⠀⣠⠝⠀ ⠀⠀⠀⢀⡎⣀⡄⠀⣠⣤⣀⢀⠈⠉⠉⢀⢀⣠⠤⢎⢰⠢⠼⠀⠀ ⠀⠀⠀⠈⠉⠀⠱⠊⡡⢾⠙⠀⠈⠋⠛⠁⠨⡀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠊⠀⢀⠃⡄⠀⠀⠀⢰⠉⠱⣄⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⢤⡀⠀⠀⠀ ⠀⡴⠒⠲⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⣋⠤⠒⡄⢿⠀⠀⠀ ⢸⠃⢠⠒⠢⢄⡉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⢋⡠⠚⠁⠀⠀⢱⢸⡇⠀⠀ ⣾⠀⡇⠀⠀⠀⠉⠒⢤⡀⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⠔⠉⠀⣀⣀⣀⣀⣘⣀⣇⠀⠀ ⡏⠀⡇⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⡴⣁⡴⠞⠉⠁⠀⠀⠀⠀⣀⣭⠿⠆ ⡇⠀⡇⠀⠀⠀⣠⠴⠒⠠⠤⢀⣈⠓⢄⠈⠙⢷⣄⡀⠀⠀⠀⣠⠞⠁⣠⣿⡾⠋⠀⠀⠀⠀⣀⡤⠖⢋⠉⣿⠀⠀ ⡇⠀⡇⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠉⠙⣳⣄⠀⠙⠛⠛⠛⠛⠻⠶⢾⣽⠏⠀⠀⠀⢀⣤⢞⡉⡆⠀⠘⠀⡏⠀⠀ ⡇⠀⢳⠀⠀⡏⠀⠀⠀⠀⠀⣀⣴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠠⠒⠉⠉⠉⠉⠉⠙⠲⢴⡇⠀⠀ ⣿⠀⢸⠀⠀⡇⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀ ⢸⠀⠈⡆⠰⡇⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⣾⡟⠛⢻⠟⣷⠶⣼⡇ ⠈⡇⠀⢃⠀⠁⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⢄⠀⠀⠀⠀⠈⠲⣤⣀⠀⠀⠀⠀⠈⠻⣄⠊⢰⡏⠀⠀⠁ ⠀⢳⡀⠈⣦⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⢸⠉⠙⠲⣤⡀⠀⠀⠘⣆⣾⠁⠀⠀⠀ ⠀⠘⣧⠀⠘⡾⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡜⠀⠀⠀⠀⠙⢷⡀⠀⢸⠃⠀⠀⠀⠀ ⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⣠⣄⠀⢸⠀⠀⠀⠀⣇⣤⣄⠀⠀⠀⠈⡟⣦⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⣿⡆⢸⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⡇⢸⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢠⡟⢹⠀⢸⠀⠀⠀⠀⢸⠃⢹⠀⠀⠀⠀⡇⢸⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⠘⣿⡶⢦⣄⡀⠈⡆⠀⠀⠀⠀⢠⡇⣸⡄⢸⠀⠀⠀⠀⣽⠇⣸⠀⠀⠀⢀⣧⣿⠾⢻⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠹⣇⠀⠀⠉⠓⠿⡀⠀⠀⠀⢸⣇⣾⡇⢸⢀⣀⣀⣀⣿⣧⣿⠀⠀⠀⠠⠟⠁⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⡶⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠈⠁⠀⠀⢀⣉⣉⠅⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⠀⠀ ⠀⠀⠀⠀⠘⠻⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣤⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⢠⠆⠀⠀⣶⠖⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠉⠙⠒⠒⠂⠀⠀⠀⠀⠀⢀⣠⡾⠁⢠⣄⡀⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣡⡤⠴⣷⠀⢀⣴⠞⠛⣻⣶⠀⠠⢤⣤⣀⣀⣠⣤⠔⢠⠶⠛⠋⠁⠻⣤⡿⠀⠉⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠋⠁⣠⠾⠵⠚⠀⠀⠀⠈⠉⠙⠉⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢱⣤⡀⠀⠀⠀⠀⠀⠀⠀⣀⠴⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⢀⣼⠀⢙⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⢠⣤⣤⣄⠀⠀⢰⡿⠛⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⢀⣄⡀⠙⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⣾⠏⠉⠉⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⢸⡏⠉⠻⣷⡀⢸⡇⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⡞⠉⠛⢦⡀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⠃⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⡀⢸⣇⠀⠀⠹⣷⣸⡇⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣸⠁⠀⠀⠀⠙⢧⡄⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣾⣿⡀⠀⠀⠸⣿⡇⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢰⠇⠀⠀⠀⠀⠀⠀⠙⢦⡀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⡄⠀⠀⢸⣇⡤⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⡞⠀⠀⢀⠴⠒⠢⠤⢤⣀⠙⣆⠀⠻⣧⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀ ⡄⠀⠀⠙⣷⣀⣠⠞⠉⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⣾⠇⢠⡇⠀⡴⠋⠀⠀⠀⠀⣀⣬⠿⠚⢷⠀⠘⠛⠛⠛⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀ ⢻⣦⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠾⠟⠋⠉⢹⣿⡀⣿⠀⣸⠀⡼⠁⠀⢀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⣀⣀⣀⣤⣤⣤⣤⣤⣀⣀⣀⡀⠹⣦⠀ ⠛⠛⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⣿⠀⣿⢸⠁⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⠷ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠁⠠⣿⠀⣿⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠭⠭⠭⠭⠽⢿⣛⣒⣤⡀ ⠛⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⡋⠀⠀⠀⠀⣿⠀⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠤⠤⣤⣤⣤⡤⣬⣭⣍ ⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣄⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠟⠛⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⡀⠈⠉⠓⠲⣤⣀ ⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⢰⣾⠟⠋⣩⡾⠃⠈⣿⡄⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠉⠻⢿⡶⣦⣄⡀⠉ ⣀⢦⠀⠀⠙⠷⣦⣄⣤⡾⠛⣁⣤⠾⠋⠀⠀⣤⣯⣿⣆⡀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⣠⡾⠛⠻⣦⠀⠀⠀⠀⠀⢻⢷⣤⣀⠙⠧⣨⡿⠷ ⠙⠷⣜⡒⠀⠀⠀⠈⣟⠛⠛⠋⠁⠀⣤⣤⣄⣀⣙⣷⣭⡛⠿⣧⡀⠀⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⠀⠀⣠⠏⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⠀⢈⡿⢧⣄⠙⣧⡀ ⡀⠀⠈⠁⠀⠀⠀⠀⠻⣶⡀⠀⠀⠀⠈⠙⢿⣭⡙⠛⠛⢿⣦⠀⠙⠲⣄⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⣰⢏⡞⠀⠀⠀⢴⣿⣶⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⡴⠋⢀⣼⠟⢷⣌⢳ ⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣤⣤⣴⣶⣾⣿⠻⣦⣄⠀⠀⠀⠀⠀⠈⠱⢦⡀⣿⠀⠀⠀⠀⠀⠀⢸⠏⣾⠁⠀⠀⢠⡿⢻⠇⠀⠀⠀⣿⠀⠀⠀⠀⠀⢨⢁⣴⠟⠁⠀⠈⠻⣧ ⠈⠻⣷⣀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣿⣛⠋⠉⠉⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠙⢿⣀⠀⠀⠀⠀⠀⣿⣾⠁⠀⠀⢠⣿⢱⡟⠀⠀⠀⢰⡿⠀⠀⠀⢀⣺⣷⠟⠃⠀⠀⠀⠀⠀⠈ ⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣼⣘⠉⠉⠙⠁⠒⠒⠂⢻⣵⠏⠀⠀⠀⠀⣼⠃⠀⠀⡠⣳⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣧⡄⠀⠀⠀⠀⠀⠀⣀⣠⣽⡷⠼⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠿⣿⣿⣦⡀⠀⠀⠀⣶⣿⡛⠶⣦⡀⠀⣸⠏⠀⠀⢔⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡹⣷⡀⠀⠀⠀⠀⠀⠉⠙⠛⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠈⢻⣿⣿⣦⠀⠀⠈⠛⠿⠛⠛⠀⣴⠋⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣯⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⢿⣿⣿⣷⡄⠀⠀⠀⠀⠰⢾⣥⣄⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡀⠘⡆⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠈⠻⣦⡀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⣠⣿⠟⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣉⠙⠻⠶⣶⣶⠶⠶⠶⠶⠶⣶⣤⣀⣀⠀ ⠀⠀⠀⡇⠈⢦⡇⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⣌⣻⣆⠀⠀⢰⡇⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣟⡛⠛⠿⠦⠀⠀⠀⠀⠀⠈⠉⠛ ⠀⠀⠀⣷⠀⠀⠁⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡤⣻⣍⠙⢷⣄⡈⢷⣀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⣤⣤⣤⣀⡈⠻⣦⡀⠀⠀⠀⠀⠀⠀⣀⣴⠞ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⢀⣴⡾⣿⣷⡄⠙⠂⠀⠙⢷⣦⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠹⢦⡈⠉⠙⠛⠶⣿⣦⡀⠀⠀⢀⣴⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣧⠀⠀⠀⠀⢀⣼⠟⠉⠀⠻⣄⠉⠀⠀⠀⠀⠀⠙⠿⣟⠛⣛⣓⡲⣿⣶⠶⠶⢶⣤⣀⡀⠀⠘⢿⣶⣤⣈⠻⣆⠀⠀⠀⠀⠈⠹⠀⣠⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⣰⡿⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⣈⣉⠿⣷⣴⠟⠯⠉⢛⣷⣦⣈⢻⡄⠉⠳⢿⣦⠀⠀⠀⠀⠀⣰⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣾⡏⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣙⡾⢿⣤⡴⠚⠉⢀⡟⠙⠻⣿⡄⠀⠀⠙⠃⠀⠀⢠⣾⠟⣩⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣇⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣬⠿⠗⠒⢾⠻⠷⣦⣤⣘⠛⡇⠀⣀⣁⡀⠀⠀⠀⠀⠀⠈⠀⢰⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡄⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡉⠀⠀⢀⣠⠞⠓⠒⠦⣌⡉⠛⠳⣾⡉⠉⢻⡆⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠾⠟⠻⢿⣿⣿⠿⠃⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡙⢦⣴⣋⠁⠀⠀⠀⠀⠀⠈⢻⡏⠒⠟⣶⠼⣷⡄⠀⠀⠀⢀⡿⠃⠀⠀⠀⠀⣠⣿ ⠀⠀⢀⣀⣤⣤⣾⠋⢀⣤⣴⡶⠟⠉⠀⠀⢀⣄⡀⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⢹⡈⠙⠓⠦⢤⣀⡀⠀⢨⣇⠀⣼⠁⠀⠈⢻⣀⡾⣇⣾⠃⠀⠀⠀⠀⣸⣿⠟ ⣤⣾⣿⡿⢿⡟⠃⠀⣸⣟⠋⠀⠀⢀⣀⣴⠟⣿⣷⣄⠙⠦⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣨⡷⢦⡀⢀⣀⣀⡙⣻⠋⠈⠛⣿⠀⠀⠀⠈⣏⠀⣿⠏⠀⠀⠀⣀⣾⣿⠏⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣖⣤⣶⣿⣿⣿⣿⣿⣭⡶⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠉⠁⠒⠤⠀⡔⠄⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢋⣥⣾⣿⣿⣿⣿⣿⣿⡿⠛⠁⢀⣠⠔⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⢤⡀⠀⠀⢀⣀⠈⠂⠉⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠘⣿⣀⢻⡟⠉⣷⠀⠀⠀⠀⠀⠀⢀⡤⠎⠁⣀⣿⣿⣿⣿⣿⣿⣿⠟⢉⣠⣶⡾⠋⠀⠀⠀⠀⣀⣠⡤⢶⡾⠶⠀⠀⠀⠀⠀⠉⠶⣽⣾⣿⣷⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣬⣺⡟⠀⠀⠀⠀⢀⡴⠋⢀⣤⣾⣿⣿⣿⣿⣿⣿⡿⣣⣴⡿⠟⠁⠀⠀⣠⣤⣶⡿⠟⢉⣴⠋⠁⠀⠀⢀⡞⠀⠀⣦⠀⠙⢿⣿⣿⣿⣿⣦ ⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢀⣴⣯⣶⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⢿⠋⡀⣀⣤⣾⠿⣿⡿⢋⣴⣾⠟⠀⠀⠀⠀⣴⠋⠀⠀⠀⢹⣦⠠⢪⣻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣻⢋⡞⣿⣿⣿⣿⣿⣿⣿⣷⣾⡿⠟⠉⣱⡾⣯⡶⣿⡿⠃⠀⠀⠀⢀⡼⠃⢠⣆⠀⠀⣇⣿⡆⡜⡏⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡟⠁⠀⠁⣰⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⢠⣾⣿⠟⢡⣾⣿⠅⠀⠀⠀⣠⡿⠁⣰⣿⢸⢸⡆⣿⣿⣿⣼⣼⡈⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⣹⣿⡏⠀⠀⠀⢰⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⣰⣿⡿⠃⢠⣾⣿⠞⠀⠀⡴⣷⣿⠅⠀⣿⣿⢸⣾⡇⢻⣿⣿⣿⣿⣇⠸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢰⡿⠁⣸⣿⡟⢠⢀⢠⢀⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢰⣿⠟⠀⢠⣿⣿⡟⠀⢀⣼⣿⣿⡿⠀⢰⣿⣿⡟⣿⣇⢸⣿⣿⣿⣿⣿⠀⣿⣿ ⠀⠀⠀⠀⢰⡾⢶⣀⣥⣤⡀⠀⠀⠀⢰⡟⠁⣴⣿⣿⣧⡟⣾⢋⣼⣿⡿⠋⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⣼⣿⣿⠀⢀⣾⣿⣳⡿⠁⠀⡇⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⡀⢻⡏ ⠀⠀⠀⠀⢸⣇⠀⠻⣇⣸⡇⠀⠀⢀⡞⠀⣼⢿⣿⣿⣿⣹⡟⣾⡿⠋⠑⠦⠤⠤⣀⣀⣀⠤⣾⡿⠂⠀⢸⣿⣿⡇⢀⣾⡿⢱⡿⠁⠀⠐⠁⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠀⠀⠙⢷⣴⠟⠋⠀⠀⠀⡾⠀⢰⠃⢈⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡏⠀⠀⠀⢸⣿⡿⢀⣾⡿⣇⡾⠁⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⢰⠇⠀⠸⢸⣿⣿⣿⢋⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⢸⣿⡇⣾⡿⠁⡸⢣⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣠⠏⢀⡀⠀⣸⣿⣿⡏⢀⣹⣶⣶⣶⣿⣯⡒⢆⡀⠀⠀⠀⠀⠀⠀⢸⣿⢳⡿⠀⢰⠇⠀⠙⢦⡀⢀⠀⠀⠸⣿⣿⣿⡿⣿⣿⣿⣿⣿⡃⣼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⣠⠞⠀⣼⢿⣿⣿⣱⡿⠋⠁⢠⣴⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠙⢮⡄⠀⠀⢻⣿⣿⣿⢿⣿⣿⣿⣿⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣁⠞⠁⢀⣾⣿⢸⣿⡿⡿⠀⠀⣰⣿⣿⣿⣿⡟⢻⡇⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣀⠈⢿⣿⣿⠈⣿⣿⣿⣿⢠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⢀⣴⣿⣿⣿⣾⣿⣿⠃⠀⢠⡟⠉⠙⠛⢻⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⢠⣤⣀⠀⡀⠀⠀⠀⠙⠚⢿⣿⣧⠸⣿⣿⣿⣾⣷⢰ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⢛⡥⢀⣴⣿⣿⣿⠟⠀⢹⣿⣧⠀⠀⠘⢇⠀⣀⡀⣸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣿⣿⣷⣿⣤⡀⠀⠀⠀⠈⢿⣿⣆⠸⣿⣿⣿⣿⣾ ⠀⠀⠀⢀⣠⠾⠋⢉⣴⣫⣶⣿⣿⡿⠋⠁⠀⠀⠀⣿⣿⡄⠀⠈⢿⡀⠈⠉⢁⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣷⣧⡀⠀⠈⢻⣿⣆⠹⣿⣿⣿⣿ ⠀⠀⠀⠈⢱⣄⣾⣯⣿⣿⠟⠋⠀⠀⠀⠀⠀⣠⣼⠃⠙⢷⠀⠐⠚⠿⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠛⠿⢿⣿⡏⢙⡏⠻⣿⣆⠀⠀⠻⣿⣷⣿⣿⣿⣿ ⡀⠀⠀⣠⣿⣿⣿⠟⣹⣵⣤⣤⣤⣤⣤⣤⡼⢿⡏⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡃⠀⠀⠀⠀⢘⣿⣿⠇⠀⠹⣿⡆⠀⠀⢸⣏⣿⣿⣿⣿ ⣡⣴⣾⣻⣿⠟⣩⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣳⠀⢤⣀⣠⠞⢉⡿⠀⠀⠀⢹⣷⠀⢀⣾⣾⣿⣿⣿⣿ ⣿⣿⢣⣿⣗⣼⣿⣿⡿⠿⢿⡟⠛⠛⠛⣷⠞⠋⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⣸⠇⢀⣾⣾⣿⢿⣿⣿⣿ ⣿⣿⠠⣿⠿⣿⡁⠈⠀⠀⠀⠑⣄⣠⠞⠁⠀⠀⠀⣀⡹⠶⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣒⠖⠋⠁⠀⠀⠀⠀⠞⠁⣰⣿⣿⠟⢡⣿⡿⠋⠀ ⡋⠙⣸⠃⠀⠈⠻⣦⠀⢀⡴⣶⠟⠁⠀⠀⣀⡴⠚⠁⠀⠀⠀⠙⣆⠀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⢟⡥⣺⣿⠟⠀⠊⠀ ⠀⠀⠃⠀⠀⠀⠀⢈⡿⠋⣰⠇⠀⠀⠐⠚⠁⠀⠀⠀⠀⣠⠴⠛⠋⠓⣆⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣛⣻⠵⠚⢁⡴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⢸⣦⠀⠈⠳⠤⠴⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠉⠉⠀⢀⣤⠶⠭⠄⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠋⠁⠀⠀⠀⠀⢀⣀⣀⠐⠃ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⡎⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠖⠋⠀⢀⠀⠀⢸⠀⠀⠀⡤⠤⠤⣤⡴⠒⠒⠒⢦⡖⠒⠲⠤⣄⣀⡀⠀⣀⣤⣾⡋⠉⠓⠶⠖⠚⠛⠉⠁⠀⠀⠀⢀ ⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⡇⠀⠈⢣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣦⡞⠀⢠⡞⠀⠀⠀⠈⡇⠀⠀⠀⢸⠇⠀⠀⠀⡇⠈⠉⠙⢿⣿⣿⣿⣆⠀⠀⠀⠀⢠⠀⠀⣠⣀⣠⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⠀⡇⠀⢸⡓⢤⡀⠀⠀⠀⠀⠀⠀⢀⡴⢻⠉⢹⣿⠇⠀⠀⠀⠀⡇⠀⠀⠀⡸⠀⠀⠀⢰⡇⠀⠀⠀⢸⣿⣿⡿⠟⠳⠤⠖⠶⠤⣤⣴⣿⣌⢿⣿ ⠀⠀⠀⠀⠀⠀⢀⠴⠋⠉⠁⡇⠀⠀⠀⠀⠇⠀⠉⠑⠶⢤⡤⠴⠞⠉⠄⣼⣠⠾⠿⠀⠀⠀⠀⠀⠃⠀⠀⠀⠃⠀⠀⠀⠸⠁⠀⠀⢰⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⡹ ⠠⠂⠀⠀⠀⠀⢸⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣲⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠙⠓⠤⢤⣤⣀⣀⣀⣀⣀⣠⡤⢖⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⠀⠀⢀⡔⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣷⣾⣿⣿⣿⣿⣶⣾⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⢉⡽⢋⣙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣦⣀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣓⣒⠶⢤⣾⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠳⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡄⠀⠀⢳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⡦⠀⠀⠻⠿⣦⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡏⠀⠜⡴⠁⠀⠀⠀⡀⠀⠀⠉⠉⠲⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⡾⢿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⣸⠀⠀⠀⢧⠀⠀⠀⠀⠹⠒⢤⣀⠀⠀⠁⠈⢢⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⠀⠀⠈⠻⣿⠏⢨⠔⢦⠈⢻⣿⡼⠋⢀⣤⣶⣶⣿⣿⣿⣄⢠⣀⡜⠆⠀⢀⡠⠴⠒⠂⠈⢻⢦⡀⠀⠈⡇ ⠀⠀⢀⣶⣿⣷⠀⠀⠘⣿⡄⠀⠐⣶⢬⣇⠉⢣⡸⠀⣰⣿⣁⣴⣿⣿⣿⣿⣿⣿⣟⢿⣽⡛⣧⠔⠒⡏⣀⠀⠀⣀⣀⣾⠀⠑⠢⠤⠃ ⠀⣴⡟⣾⡟⣿⡇⣀⣼⣿⣿⣦⡀⠀⠙⠻⡆⠀⠇⢰⠟⠻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⡿⠟⣇⠀⠀⢙⣰⣺⣽⣿⣿⣿⠀⠀⠀⠀⠀ ⢸⡿⢸⡿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡴⠃⠀⠀⢸⡀⠀⢹⣿⣿⣿⣿⣿⢹⣿⣿⣯⣀⣀⣀⣭⣏⠁⠀⠀⠈⠻⣿⣿⠀⠀⠀⠀⠀ ⣿⡇⢸⡗⢸⠛⣿⡍⠉⠙⠛⠻⢭⣻⣿⣧⠀⠀⢀⣴⠷⣄⡀⠻⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡻⡆⠀⠀⠀⠀⠙⠇⠀⠀⠀⠀⠀ ⣿⡇⢸⣷⣽⠶⠛⢷⡀⣠⠤⢤⣾⣿⣿⣽⣞⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⢿⣿⠉⠛⢿⣿⣷⡇⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣇⣼⢿⠁⠀⠀⢠⡷⡇⢠⣶⡽⣿⠋⠉⢻⠿⠛⠋⠉⠉⢹⠉⢻⢻⣿⣿⣿⣿⣿⣷⡶⢏⡠⠿⣿⣷⡞⠛⠙⢳⣦⡀⠀⠀⠀⠀⠀ ⣿⡏⢠⡋⣆⠀⠀⡞⠀⠇⠈⢿⣿⣏⠀⠀⠸⡀⠀⠀⠀⢀⡞⠀⢸⢸⣿⡏⠛⠛⠛⠉⣠⠋⣠⠀⠸⠧⢻⡝⢷⡄⢿⣷⠀⠀⠀⠀⠀ ⢸⣧⠸⡹⡌⢆⣴⣿⡀⠀⠀⠈⠻⠿⣆⠀⠀⠳⣄⣰⣚⠉⠉⠉⠻⣾⣿⡻⣦⣀⣠⣴⠷⠟⣻⠀⠀⠀⢸⡇⢸⣧⢨⣿⠀⠀⠀⠀⠀ ⠀⢿⣇⠓⠃⣼⣇⡈⠻⣄⠀⠰⢦⣀⢀⣷⡄⠀⠀⠀⠈⠉⠓⡤⣄⡈⡿⣿⣷⣶⣶⣶⣾⣿⠟⢀⠆⠀⡾⢷⣾⡇⣼⡟⠀⠀⠀⠀⠀ ⠀⠈⢿⢷⣞⠛⣿⣿⣤⡍⠳⣤⣤⣤⡿⠗⠁⠀⠀⠀⠀⠀⠀⠙⠀⠹⡅⠀⠈⠉⠉⠉⠻⣤⠔⠚⠒⠊⠀⠀⠈⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠈⢻⣽⣦⡈⠻⣿⣿⠞⠋⠉⠁⠀⠀⣀⠤⠖⠲⣤⣔⡊⣀⠀⠀⡷⠀⠀⠀⢀⣴⠞⠓⠲⠦⣤⡀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⠟⠁⠀⠀⠀⣠⣴⠞⠁⠀⠀⠀⡏⠀⢹⠀⠙⣤⣃⣤⠶⠞⣫⣤⣟⣛⣷⣶⣿⢟⡦⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⣠⡾⠿⡏⠀⠀⠀⢠⠞⠀⠀⢸⠀⠀⣿⡏⠾⠿⣶⣿⣿⣿⠿⣛⣽⣾⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣦⠴⠚⠀⠀⠀⠙⠦⠤⠲⡁⠀⠀⢀⡇⠀⣠⠏⠉⠛⠳⠶⢶⣶⡿⠿⠟⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬛⬜⬜⬜⬜⬜⬛🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧⬛⬜⬛⬛⬛🟧🟧⬛🟧🟧🟧 ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬛🟧⬛🟧🟧🟧🟧🟧🟧🟧⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬛⬛ ⬜⬜⬜⬜⬜⬜⬜⬛🟧⬜⬜🟧🟧🟧🟧🟧🟧🟧🟧🟧⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜🟧🟧🟧⬜⬜🟧⬜⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧⬜⬜🟦🟧🟦⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧⬜⬜⬛🟧⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜🟧🟧⬜🟦⬜🟦⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛🟧⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬛⬜⬛🟧⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟧🟧🟧🟧⬛⬛⬜⬜⬜ ⬛⬜⬛⬛⬜⬜⬜⬜⬜🟧⬛🟧🟧🟧🟧⬜⬜⬛⬜⬜⬜ ⬜⬛⬛⬛⬜⬜⬜⬜🟧⬛⬛🟧⬛🟧⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬛⬜⬜🟧🟧🟧⬛🟧⬛🟧🟧⬜⬜⬜⬜⬛⬜⬜ ⬜⬛🟧⬛🟧🟧🟧🟧🟧🟧🟧⬛🟧🟧⬜⬜⬜⬜⬛⬜⬜ ⬜⬛🟧⬛🟧🟧🟧🟧⬛⬜⬜⬜⬛🟧⬛⬜⬜⬛⬜⬛⬜ ⬛🟧⬛🟧🟧🟧🟧🟧⬛⬜⬜⬜⬛🟧⬛⬛⬛⬜⬜⬜⬛ ⬛🟧⬛🟧🟧🟧🟧🟧⬛⬜⬜⬛⬛🟧⬛🟧⬛⬜⬜⬛⬜ ⬛🟧⬛🟧🟧🟧🟧🟧⬛⬛⬛🟧⬛🟧⬛🟧⬛⬛⬛⬜⬜ ⬛🟧🟧⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬛⬛⬜⬛⬛⬜⬜ ⬛⬛🟧🟧⬛⬛🟧🟧🟧🟧⬛🟥🟥🟥⬜⬜🟥⬜⬜⬛⬜ ⬜⬛⬛🟧🟧🟧⬛⬛⬛⬛🟥🟥🟥⬜⬜⬜⬜🟥⬜⬜⬛ ⬜⬜⬜⬛⬛⬛⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛

🟦🟦 🟦🟦 🟦🟦🟨🟦🟦🟨 🟦🟦🟦🟦🟦🟦🟦🟦🟦 🟦🟦🟦⬜️🟦🟦🟦⬜️ 🟦🟦🟦🟦⬜️⬛️🟦⬛️⬜️ 🟦🟦⬜️🟩⬜️🟩⬜️ 🟦🟦🟦🟨🟨🟨⬛️🟨🟨 🟦🟦🟦⬛️🟨🟨🟨

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⠊⠢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⡐⠁⠀⢀⠱⠐⢂⠔⠂⡠⢄⣠ ⠀⠀⠀⠀⠈⠨⣢⠈⠢⡀⠀⠀⢀⠌⠀⠀⠀⡐⠀⢀⠔⡁⠠⢎⠀⡠⢊⣴⣯⣿ ⠀⠀⠀⠀⡆⠀⠀⠑⢄⠨⡢⣀⠊⠀⢀⣀⣰⣀⣀⢂⠊⡔⠃⠈⠉⠀⠀⠉⠙⠳ ⠀⠀⠀⢀⠁⢹⠀⡀⠠⠕⡌⠪⡋⠁⠀⠀⠀⠀⠘⠀⠰⠀⠠⠰⠶⣚⡽⠭⠡⠖ ⠀⠀⠀⢸⠀⠈⣐⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢀⡀⠈⠙⢶⣷⣦ ⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣢⣄⢻⣆ ⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⢀⣈⣐⣠⣄⣀⠀⠀⠀⣄⠀⠀⢀⣔⣺⠈⣿⣿⢷⣿ ⠀⠀⢀⣀⣈⣌⢆⠀⠀⣈⠀⠠⠤⠤⠤⠤⠈⢁⡎⠨⡤⠚⣉⠠⠞⡧⠛⠛⣿⣝ ⠀⠘⠢⢀⠀⠀⠀⠉⠐⠣⢤⡤⠀⠒⠒⠂⠀⣮⠧⠒⢁⣙⡂⠔⠈⠀⠀⠙⢿⡙ ⡀⠀⠀⡠⠃⠂⠀⠀⢀⢀⠂⠙⠅⠒⠂⠀⠉⠀⠀⠘⠳⠞⠀⢀⠠⠒⠀⣦⣈⣿ ⠀⠁⠎⠀⡀⢠⠤⠀⡇⠀⢆⠀⠘⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣧⡿⠟ ⠀⠘⠊⠁⢱⠂⡀⠤⠐⡄⠈⢢⢈⠀⢀⠀⢪⠄⠀⠀⠀⠀⢀⣂⡀⠀⡹⣋⠔⡇ ⠀⠀⢀⡀⠈⡹⠔⠈⠉⡹⠦⡀⠙⠢⠤⠢⠐⠘⣤⠤⢖⡟⠍⢿⣟⠕⠊⠀⣠⠇ ⡼⠦⢸⠀⡑⠀⠀⡠⠊⡶⠦⡔⣠⡤⠀⣀⣀⠜⢹⠔⢋⠝⠈⢏⠀⠀⠔⡪⢴⠇

⠀⠀⠀⠀⢸⣽⢸⡆⢸⡇⠀⠀⣿⣀⣀⣀⣀⣤⣤⣤⣤⣤⣔⣒⣾⡇⢸⠀⣼⠼⠿⠛⠛⠓⣲⣶⡏⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠄⠀⠀⠀⠒⠂ ⠀⠠⠀⠀⢸⣿⢸⡇⠘⡇⠀⠀⠈⠛⠻⢿⣒⠛⠛⠭⢍⣉⠁⠀⢸⠇⢸⠀⣻⠀⠀⣠⡴⠛⡽⠋⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢸⣿⣼⣷⡼⠷⢤⣀⣀⡀⠀⠀⠈⠻⢦⡀⠀⡉⠳⣄⠘⠀⢸⠀⣰⡤⠞⠁⢀⡞⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⣿⢻⡿⣥⣄⡀⠀⠀⠉⡙⠳⠤⣀⠀⠳⡄⠙⢦⡈⢧⠀⣸⡶⠋⠀⠀⢠⠎⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⣿⢸⡇⢸⡏⠙⠳⢤⣀⠀⠈⠢⣌⠑⢄⣹⡄⠀⠳⡌⣿⠋⠀⠀⠀⣰⠋⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠀⡀⢠⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⣿⢸⡇⠀⡇⠀⠀⠀⠈⠛⢦⣄⠀⠙⢦⡙⢷⠀⠀⢳⡘⡧⠴⠶⠾⠥⠤⠤⢤⣀⣀⡘⠀⠀⠀⠀⠀⠀⠀⢧⡀⢀⣀⠗⢸⠀⢸⡀⠀⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⣿⢸⡇⢀⣇⣠⠴⠶⠖⠒⠶⠾⠷⣤⠀⠙⠛⠇⠀⠀⠓⠟⠒⠒⠶⠶⠦⠤⣀⣀⠀⠉⠙⠒⠒⠒⠛⠉⠉⠉⠉⠉⠉⠉⠛⠓⠚⠳⠶⠷⠴⢷⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠘⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⠶⠖⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣦⡠⠀⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢁⣴⣯⣁⣤⠴⡶⠶⠒⠒⠒⢒⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠚⠋⠉⠉⣠⡟⢁⣼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⠛⣿⣿⡇⠀⡇⠀⠀⠀⠀⡼⠁⠀⣰⣤⣀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠻⢍⡀⠀⠀⠀⠀⣠⡾⠋⣰⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠨⣿⢻⡇⠀⡇⠀⠀⠀⣸⠇⠀⡴⠋⠀⠈⠉⠙⠲⢶⡞⠉⠓⣶⠛⠉⠉⠉⠉⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠟⣇⠀⠀⠀⠀⣠⡞⠋⣰⠾⡅⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⡿⠷⠤⠧⠤⠤⣤⣿⠀⣼⣟⡖⠒⠒⠤⢤⣤⣀⡇⠀⣼⣥⣤⣤⠤⠤⠤⠤⠤⠿⡄⠀⠀⠀⠀⠀⠀⠀⠘⣆⣀⡴⠟⢁⣴⠞⡇⠀⡇⠀⡷⣶⠒⠒⠒⠒⠒⠒⠒ ⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠠⡏⡏⢹⣿⠟⠀⠀⠀⠀⠀⠀⠉⡇⢺⣿⣷⠞⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠘⢋⣠⠾⠋⡇⢸⡇⠀⡇⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⡇⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠰⡇⠘⡂⠀⡇⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀ ⡼⠀⠀⠀⠀⠉⠛⠓⠒⠒⠒⠚⠓⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠀⢀⢘⡇⠀⡇⠀⡇⠀⡇⣻⠀⠀⠀⠀⠀⠀⠀ ⠡⠀⠀⠀⣈⠁⢷⣖⠒⠲⠶⣖⡒⢻⡟⡆⠀⠀⠀⠀⠀⠀⠀⢰⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢀⣀⣤⠴⠾⠿⣿⣁⠀⢸⠸⡇⠀⡇⠀⡇⠀⡆⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⣈⣓⣦⡀⠀⠙⠺⠧⣷⠤⠴⠒⣚⣉⣉⡙⠛⠓⠲⠧⣄⣀⠀⠀⠀⠀⠀⣀⡰⠷⠒⠋⠉⠁⠀⠀⠀⠀⠀⣉⣹⠿⢠⡇⠀⡇⠀⡅⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⣾⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⣭⣭⠟⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣟⡥⠤⠤⠼⠃⢀⡇⠀⡇⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⠀⠒⣻⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣠⣤⣤⡇⠀⡇⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⣀⠴⢚⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠖⠛⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀⠙⢦⣿⡇⠀⡇⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠿⠁⠀⣸⠀⣀⡴⠖⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣍⠉⠉⠉⠛⠛⢾⣿⡇⠀⡇⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠈⠑⠦⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣴⣶⣶⢦⣄⡀⢸⡏⠉⠉⠙⠒⠲⠾⣿⡇⠀⡇⢀⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣶⣍⣽⣿⠶⠶⠶⠶⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣬⣽⣦⣷⣤⣤⣤⢤⡤⠤⣿⢿⡄⣷⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣟⣛⠀⠙⠻⠭⠽⠷⠾⠛⢻⣿⢿⣿⣻⣟⠉⠀⠀⣿⣿⣶⣦⣶⣤⣤⣦⣤⣤⣤⣤⣼⣿⠀⣿⡟⠀⢻⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⢠⣽⠖⠋⠉⠉⠉⠉⠓⢶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠉⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⣠⡴⢺⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢃⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⣠⠖⠉⠉⠉⢻⣴⠁⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⢀⣤⠞⠛⣾⡇⠀⢀⣠⢾⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠒⠀⠀⠀⠀⠀⠐⠀⠀⠀⠂⠐⣿⠓⠦⠤⢤⣞⠁⠀⠀⣠⡤⣼⣇⠀⢸⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡗⠒⢒⣶⠟⠋⠀⣠⠞⢹⣧⠖⠋⠀⢸⠀⢀⡟⠀⠀⠀⠀⠀⠀⡠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠷⣤⣀⣀⡏⠓⢦⡚⠁⠀⠈⠙⠿⣌⣿⠳⢤⡀⠀⠀⠀⠀⠀⠀⢀⣠⢟⡁⣰⠟⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢈⣇⡼⠁⠀⢀⣀⡤⠐⠉⠼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⠀⠈⠉⢙⠲⢼⣿⣦⣄⠀⠀⠀⠘⠿⠳⣤⣙⡓⠲⠦⣶⣶⣾⠟⢛⠛⣿⠁⠀⢀⣠⣾⠁⠀⠀⠀⠀⠀⠀⠀⢨⣿⠷⠒⠚⠫⢥⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣤⣴⣶⣾⢿⣿⡋⡹⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⠷⠶⡘⠓⠢⠄⡄⢛⠸⠿⣻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡿⠟⣠⡉⢆⣡⠟⠛⢧⣰⠟⣿⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣇⣾⡏⠙⢦⡇⠀⣶⢈⡷⠆⣿⣻⡇⠀⠀⢀⡀⢀⡀⠀⠀⠀ ⠀⠈⣿⣷⡆⣸⡁⣐⡝⢶⣿⠆⣿⠇⠀⠀⠀⠘⢿⣽⠏⠀⠀⠀ ⠀⠀⠈⠟⠣⣬⡝⠛⣦⣿⠿⢛⠉⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⢠⡴⠎⣿⣶⣷⣿⡦⣉⣶⠉⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢟⠿⠯⡿⠿⢿⣏⠀⢩⡛⢤⡜⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣨⣟⣽⣿⣜⣧⣤⣛⠃⠙⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣾⡷⣭⡇⠲⣿⣉⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⡿⢃⠀⣿⡇⣿⣿⠀⠽⣟⣯⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⠛⠛⠋⠁⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡆⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⣾⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⡦⠀⠀⠀⠀⢰⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠃⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣆⠀⠀⠀⣾⣿⣿⣿⣷⠄⠀⠰⠤⣀⠀⠀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⢺⣿⣿⣿⣿⡄⠀⠀⣿⣿⢿⣿⣿⣦⣦⣦⣶⣼⣭⣼⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣷⡆⠂⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⡿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢿⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⡀⢀⣿⣿⣿⣿⠀⢸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣠⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⡟⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠙⢿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠛⠋⠁⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀ ⠀⠜⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣦⠄⣠⠀ ⠠⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠛⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⢳⣾⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⠀⢨⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡿⡿⠿⠛⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠏⠉⠻⠿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣉⣉⠁⠀⠈⠉⠉⠛⠻⢦⡄⠀⠀ ⠀⠀⠀⢠⣿⣷⣦⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠈⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣦⣄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⠏⠁⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢻⣿⣇⠀⠀⠀⢶⣦⣌⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠘⣿⣿⣿⣿⣿⡏ ⠀⠀⠀⠀⠀⣼⣿⣿⣦⡀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢻⣿⣿⣿⣿⠁ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⠃⠀ ⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⢀⣼⣿⣿⣿⣿⣿⣿⣿⡟⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⡿⠁⠀⠀ ⠈⠉⠛⠛⠋⠛⠻⠿⢿⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣼⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣱⣾⣿⡿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣼⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⣿⣿⡿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠹⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢼⣿⠀⢿⣿⣿⣿⣿⠀⣾⣷⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣷⡀⠀⠀⠈⠋⢀⣿⣿⣿⣿⣿⡀⠙⠋⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣾⣿⣷⣦⣤⣴⣿⣿⣿⣿⣤⠤⢤⣤⡄ ⠈⠉⠉⢉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡀⠀ ⠐⠚⠋⠉⢀⣬⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣀⡀⠈⠀⠈⠛ ⠀⠀⠴⠚⠉⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠉⠛⠢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⢀⣠⣤⠶⠛⠛⠉⠉⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠁⠤⢉⡛⠓⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠉⠀⠀⠀⠀⠉⠙⠺⢿⡉⠀⠀⢀⣀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠈⠉⠒⠦⢍⡙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⣀⣤⠶⠖⠛⠉⠉⢉⣭⠗⠋⠉⠈⡆⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⢰⡟⠓⠲⢤⣀⠈⠁⠒⠌⠛⢦⣄⠀⠀⠀⠀⣰⠃⠀⣠⣾⠟⠁⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡄⠀⠀⡇⠀⠀⠀⠈⠙⠢⣄⠀⠈⠢⢍⠳⡤⠴⢶⠃⣠⠾⠛⣁⡤⠶⠚⠻⢿⣁⠀⠀⠀⠀⠀⠀⢸⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢙⣦⣄⠀⠀⠒⠀⠏⣸⡥⠒⠉⠁⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⡾⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⠈⡆⠀⠀⠀⢠⠔⠋⢁⡤⠞⠁⠀⠀⠀⠀⠈⣉⠉⠉⠉⠉⠉⠙⠿⣖⠲⠤⣽⣦⡀⠀⢰⠃⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⠀⠀⠹⡄⠀⢀⡏⠀⡴⠋⠀⠀⠀⢀⡀⠀⠀⠀⢨⡙⠲⣤⣀⠀⠀⠀⠈⠳⣄⠈⡏⠁⢀⠏⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣧⠀⠀⢳⡀⢸⠁⡼⠁⠀⠀⣀⣤⡾⠛⠀⠀⠀⠀⠙⣄⠀⠙⠳⣦⠀⠀⠀⠈⢧⢹⢀⡞⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⠀⠀⠹⣼⣴⠃⠀⠈⠉⢁⣀⣀⣀⡀⠀⠀⠀⠀⠈⢧⠀⠀⠘⡇⠀⠀⠀⠀⠻⠋⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠈⠛⠀⠀⠀⣦⡿⠋⠉⠉⠻⣦⡀⠀⢀⠀⠀⢧⠀⠀⣿⢀⣀⣀⡀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⢢⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠘⣷⠀⠘⣦⠀⢘⣇⠀⡿⠋⠉⢻⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡈⡆⠀⠀⣾⠀⠀⠀⠀⠀⠀⣀⣹⡄⠀⢹⣿⣿⣿⣾⠁⠀⠀⣼⠀⢠⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠸⡀⠀⢻⡀⠀⠀⠀⠀⣼⣏⣿⡇⠀⠀⣿⣤⣿⡅⠀⠀⠀⡏⠀⣠⣿⣠⣤⠤⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣘⣧⡧⠀⠈⢧⠀⠀⠀⠀⢹⣿⣿⣧⣀⣀⣻⣿⣿⡇⠀⢀⣸⡷⠚⠉⠁⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⢦⣀⠀⠀⠀⠈⠙⠲⣄⣈⢧⣀⣀⣠⠴⠛⠋⠙⣿⣿⠀⠙⠛⠉⠉⠉⠁⠀⠀⢀⠆⠀⠘⠻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⣲⡤⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠁⢀⡀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⣀⣬⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠘⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⢀⣠⣶⠛⣦⣄⣘⣿⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠒⠒⣾⠋⠀⣠⣄⡤⠟⠓⠲⢤⣄⣀⡀⠀⠀⠀⠀⣀⣤⣶⣟⠉⠉⠉⠛⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠚⠉⠀⠙⢀⣀⠤⠖⠋⠁⠈⣉⠉⠙⠛⠋⣉⣄⣀⣉⣙⡶⠦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠴⠒⣋⠁⠀⠈⢻⡟⠉⠑⠛⠛⠲⠴⠚⠛⠉⠁⠀⠻⡀⠀⠀⠨⢍⡛⠲⢶⣤⣤⣀⣀⣀⣀⣴⣾⠟⠁ ⠉⠛⠻⠶⣦⣴⣶⠿⠟⠋⠉⠐⠂⠉⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣆⠀⠀⠀⠈⠁⠒⠤⠍⠙⢻⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⢶⣤⡀⠀⠀⠀⠀⠀⠀⣀⣧⢴⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠙⣆⡀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠁⠀⠀⠀⠀ ⣄⡀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⢠⢚⣽⣷⢸⡤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡇⢰⡟⠻⣦⡀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⣰ ⠿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠈⢿⣦⣠⣴⠟⠁⠹⡇⠀⢻⣤⠤⡀⠀⠀⠀⠀⣠⢶⣤⡇⠀⢸⣇⠀⠀⠙⣷⣄⣼⣿⠃⠀⠀⠀⠀⢀⣼⡟

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⢶⠀⠀⠀⠀ ⠀⣸⠩⠒⡲⠤⣀⡀⠀⠀⠀⠀⠀⠀⢠⠒⠉⠉⠁⣒⣶⡋⢁⣀⠀⠸⡀⠀⠀⠀ ⠀⣿⠀⢠⠤⣁⠒⠩⠒⢤⡀⠀⠀⢠⠃⣠⡴⠊⠉⣀⠔⠊⠁⠀⡆⠀⡇⠀⠀⠀ ⠀⢸⠀⢸⠀⠀⠉⠒⢄⡁⠈⢒⢒⢃⢞⡫⠔⠒⠚⢅⡀⠀⠀⢰⠁⢸⠁⠀⠀⠀ ⠀⠈⡇⠀⡆⠀⠀⠄⢒⠭⠂⠀⠈⠘⡓⠒⠒⠒⢦⡤⢕⣄⠀⡌⠀⡎⠀⠀⠀⠀ ⠀⠀⠹⡀⠘⡀⠘⠠⠃⠀⢀⡦⠀⠀⠪⡑⠦⣀⠀⠙⢄⠇⡰⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡄⠐⢤⠃⠀⢈⣭⣤⣀⠀⠀⠑⡀⠘⡆⠀⠀⠓⢁⡞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣄⠄⠀⢀⠟⠀⠀⠘⣆⠐⡄⢰⡀⡷⠒⡖⢀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡸⠀⢸⠀⠀⠀⣠⣼⠀⢹⡿⡿⠀⠀⠇⢨⠃⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⢱⣃⠈⠆⠀⠀⢻⣿⣄⣘⣿⣇⣀⣸⠔⠋⠉⣉⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠢⢄⡀⠈⠑⠊⠒⠒⠉⠀⠙⠃⠈⠀⠀⠀⢀⠌⠀⠉⣲⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣔⣉⣀⠀⠐⢤⣀⡀⠀⠀⠀⠀⠃⢀⡠⠶⣣⠤⠿⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠒⠙⣁⠠⠝⠃⣒⠒⠒⣊⣉⣓⡢⠄⣀⡀⠀⠀⠀⠀⠀⠀⣠ ⠤⢤⣀⣀⣠⠤⠔⠪⠍⠀⢈⠝⠉⠉⠉⠊⠉⠀⠈⢢⠀⠐⠩⠕⡲⠦⣤⣴⠟⠁ ⠀⠀⠈⠙⠳⣄⠀⠀⠀⣀⡦⡖⠀⠀⠀⠀⠀⠀⢀⡏⢣⡀⠀⠀⠀⣰⡟⠁⠀⠀ ⢷⣤⡀⠀⠀⠈⠳⣄⣠⠞⢹⠁⢇⢀⠀⠀⠀⣠⣸⠁⣏⠈⢢⣄⣰⠏⠀⠀⢀⡼

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⡇⠀⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡶⠟⠋⠉⠁⣤⣤⠀⠉⠉⠛⠷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠋⢀⣴⣶⣾⣿⣿⣿⣿⣿⣶⣦⡀⠈⢻⣆⠀⠀⠀⠀ ⠀⠀⠀⣾⢃⣠⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⣄⡀⢻⡆⠀⠀⠀ ⠀⠀⣸⡿⢋⡁⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⢈⡙⢾⣇⠀⠀⠀ ⢀⣾⠋⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠙⢷⡄⠀ ⣾⡇⠀⣼⠀⠀⠀⠛⠀⠀⡀⢲⡶⢀⡀⠀⠛⠀⠀⠀⢿⠀⢸⣷⠀ ⠸⣧⡀⢹⡄⢀⣀⠀⠀⠈⠧⠞⠑⠖⠃⠀⠀⢀⣀⢀⡿⢀⣼⠇⠀ ⠀⠈⠙⢻⡿⠉⠉⢳⣄⣀⡀⠀⠀⢀⣀⣀⡞⠉⠉⢻⡟⠛⠁⠀⠀ ⠀⠀⠀⠀⠻⠶⠶⠾⠉⠛⠛⠛⠛⠛⠛⠉⠻⠶⠶⠟⠁⠀⠀⠀⠀

➖➖🟥🟥🟥🟥🟥➖➖ ➖🟥🟥🟥🟥🟥🟥🟥➖ 🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥⬜⬜🟥⬜⬜🟥🟥 🟥🟨⬜🔳🟥🔳⬜🟨🟥 🟥🟥🟨🟨⬛🟨🟨🟥🟥 🟥🟥➖🟨🟨🟨➖🟥🟥 🟥➖🟥➖➖➖🟥➖🟥 ➖🟥➖🟥➖🟥➖🟥➖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⠒⠛⠉⠉⠉⠛⠻⢦⡀⠈⡇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣿⠀⡏⡬⣍⣲⡤⠤⠤⠤⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡤⠖⠚⢉⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡧⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣀⠀⠀⠀⠀⠀ ⠙⣷⠅⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⢄⣀ ⠀⠘⣦⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠋⠀⠠⡇⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡈⡆⡟ ⠀⠀⠈⡏⠀⠀⠀⠀⠀⠀⠠⣿⣷⠀⠰⡏⢻⠉⠀⢸⡀⠀⠀⡇⠀⢹⣿⢆⢀⡀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠟⡼⠁ ⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠸⣸⡆⠀⠀⠁⠀⠀⡇⠀⢰⡇⠈⠉⠛⠂⠸⣿⠆⠈⠁⠀⠀⠀⠀⠀⡟⠀⠀ ⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠢⠧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⠿⣦⣀⣀⣠⣤⣤⠖⠀⠀⠀⠀⠀⠐⢦⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣰⡿⠃⠀⠀⠀⠀⠀⠀⢢⠀⠈⠉⢻⡗⠂⠀⠀⠀⠀⠀⠀⠙⠲⣶⠦⠤⠔⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣻⠁⠀⠀⠀⠀⠀⠀⠀⠈⣉⣙⠚⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⡟⠲⡴⠒⠲⠆⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⠻⡄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠢⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⡸⠻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠙⠚⠛⢳⡤⣦⣄⣰⣴⠶⠶⠴⠶⠼⠷⠶⠤⠤⠤⠤⠤⠦⢴⡋⠉⠁⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠻⠖⠂⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⣤⣄⣤⣄⠀⠀⠙⠳⠙⠻⣷⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠻⠿⣶⣦⣤⡀⠀⠙⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠈⠻⣿⣧⡀⠀⠻⠷⠙⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠇⠀⠀⠈⠻⣿⣿⣄⠀⠀⣤⠈⠻⣿⣿⣿⣦⣤⣤⣤⣴⠿⠋⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡄⠀⠀⠀⣶⣶⣦⢠⡄⢠⣀⣴⣤⡀⠀⠸⣿⣿⣷⣄⢻⡆⠀⠀⠀⠀⠀⠈⠉⠁⣀⣤⣴⣶⣶⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⣀⣴⣀⣴⣶⣠⣾⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⡆⢻⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠆⠆⢀⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣝⠛⠙⠉⠛⠛⠿⠿⠿⠟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⢻⣿⡀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢠⣿⠇⣰⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⣿⣿⣿⣿⣀⣴⣶⣾⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣼⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠒⠀⠀⠀⢈⡁⠀⡀⠀⢀⣀⣠⣴⡾⠿⣿⣶⣾⠟⠛⠉⢩⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣄⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣀⡤⠿⠛⠀⣡⣾⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠁⠀⠀⣰⣿⣿⣁⣀⣤⣤⣤⣤⣴⣦⣤⣶⣶⣿⣿⠁⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠉⡙⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠏⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢀⣴⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣾⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠘⠛⢸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⣼⣿⡆⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣴⡿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢻⣿⣿⣿⣤⣠⣤⣀⣤⣴⣾⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣠⣤⣤⣿⣦⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣦⠰⣿⣾⣿⣇⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣍⢻⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠖⠀⠀⠈⢻⣿⣦⠀⠀⠉⢉⣿⣿⣿⣯⣽⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣀⣿⣿⣿⣛⣭⣤⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⡟⠀⣴⣬⣿⡟⠻⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⣁⣴⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠟⠛⢿⣷⣴⠀⢶⣄⡀⠀⠀⢴⡶⠚⠋⠁⠀⠀⠀⠀⠀⠈⢿⣿⣷⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣩⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣿⣿⣈⣿⣿⡃⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⢡⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠋⠁⠀⠀⠀⠀⠉⠻⣷⣄⡈⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠚⣿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⣤⣴⣾⠿⠿⢛⣛⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢹⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠃⣰⣿⣿⡟⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⡉⠻⢿⣶⣶⣦⣤⣄⠀⠀⠀⠀⠀⠸⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣻⣯⣭⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⢁⣼⣿⣿⣿⣼⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⢀⣤⣾⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠃⣀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⢰⠒⢄⢸⠉⡆⠀⠀⠀⠀⠀⢰⠃⠖⢌⠳⣄⠀⠀⠀⠀⠀⢸⡾⠁⠀⠀⠆⠀⠀ ⢮⡆⠈⢾⠀⢸⠀⠀⠀⠀⠀⡎⡘⠀⠀⠑⢌⠳⡄⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀ ⡄⠙⡤⠜⠁⠀⢳⣀⣀⣀⢰⠃⢁⠌⠀⡉⠔⠳⠘⠒⠢⢄⡀⠀⠀⠀⠀⠀⠡⠀ ⠚⠊⠀⠀⠀⠀⠀⠁⢀⡼⢹⢸⢈⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⢍⣭⣭⢍⣁⡓ ⠑⡄⠀⠀⠀⠀⣀⣴⡋⠀⢸⡘⠁⠀⠀⠀⠀⣀⠤⢤⠀⠀⠀⠀⠀⠐⡒⠲⠖⣋ ⡀⠘⢦⣀⡤⣋⠕⠃⣽⣄⣸⠀⠀⠀⢀⡴⠋⠀⠀⡸⠀⢠⠤⡄⠀⠀⣬⡙⢖⡦ ⡈⠊⠀⠘⢍⠀⠐⢲⣚⠳⠍⠢⢀⠀⡎⠀⠀⢠⡾⠁⢰⡅⠀⡇⠀⠀⡧⣪⠦⡱ ⠑⣄⠀⠀⠈⠻⢟⡛⠛⠓⠀⠀⠀⠑⠆⡀⠀⡶⣁⢠⡳⠁⢀⡇⠀⣰⠞⠁⠀⠈ ⠀⠈⢣⠀⠀⠀⠤⣟⡓⠀⠀⠀⠀⠀⡠⠛⢶⣄⠀⢾⣷⠄⡜⢀⡾⠃⠀⠀⠀⠀ ⠀⢀⢸⢧⠀⠀⠀⠀⢫⠓⢄⠀⠀⢰⠁⠀⢸⠟⠂⠀⠀⠚⠠⠮⣀⡀⠀⣀⣀⠀ ⠀⠀⠙⠈⢇⠀⠀⠀⠀⢣⡰⡳⢄⢠⡠⠔⠁⠀⠀⠀⠀⠠⣀⣉⡫⡉⠀⠀⢀⡩ ⠀⠀⠀⠀⠘⡄⠀⢀⠔⠙⡕⠀⠀⠑⢆⣠⢤⡤⢤⣄⡀⢦⢌⣦⠈⠉⠂⢠⡋⠀ ⠀⠀⠀⠀⠀⠘⣶⠃⢀⠊⠀⠀⠀⠀⠀⠀⢀⣿⣧⡑⢨⡓⠧⠈⠃⠀⠴⡻⠃⠀ ⠀⠀⠀⢀⣀⣴⣿⡇⢀⠀⠀⠀⠀⠀⠐⣮⣁⠠⠓⠊⠭⡓⣏⣢⠀⠀⣰⠃⠀⢠ ⣠⣤⡶⠃⡴⠊⢁⣠⣌⠢⠀⠀⠀⠀⠀⢘⣌⣍⠐⣂⢤⠣⡎⠀⢣⢳⠃⠀⣰⠏

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠿⠿⠟⠛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⠾⠶⢦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠶⠖⠒⠶⠶⢦⣤⣀⣀⣠⣴⡾⠛⠋⠉⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠀⠰⠦⢤⣉⠉⠛⠷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⣈⠙⠿⣅⡀⠀⠀⢀⣀⣀⡀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠈⠉⠙⠲⠤⣈⡙⠻⠷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⣀⣤⠶⠾⠛⠛⠋⠉⠉⣉⣭⠶⠛⠉⠀⠸⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⢰⡶⠦⣤⣄⠀⠀⠉⠒⠲⢤⡉⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⣀⣴⠞⠉⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⢸⡇⠀⠀⠈⠙⠳⢦⣀⠀⠀⠈⠐⢤⡙⢷⣤⡀⠀⠀⠀⣠⡟⠀⢀⣴⣿⠟⠁⠀⣀⣀⣀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡆⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠉⠓⢦⣄⠀⠀⠙⠢⡈⠻⠶⠚⢛⡟⢀⣴⠟⠛⣩⣤⠶⠟⠛⠉⠉⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣧⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣦⣀⠀⠈⠐⠒⠀⣾⢀⣾⡡⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⡟⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠘⣆⠀⠀⠀⠀⠀⣀⡤⠖⠛⠁⣠⡿⠃⠀⠀⠀⠀⠀⠀⢙⠒⠚⠛⠛⠛⠛⠛⠛⠻⣷⡦⠤⣤⣀⡙⣷⡄⠀⠀⠀⣼⠃⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣷⠀⠀⠀⢻⡄⠀⠀⠀⣰⠏⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠙⢶⣄⠉⠙⢿⢿⠆⠀⢠⡏⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠈⢷⠀⠀⠀⡿⠀⢀⡞⠁⠀⠀⠀⠀⠀⣢⡄⠀⠀⠀⠀⠹⢄⠈⠛⠿⣦⣄⠀⠀⠀⠀⠀⠙⢷⡄⠘⡇⠀⢀⡞⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠈⢷⡀⠀⡇⢠⡟⠀⠀⠀⠀⣀⣤⣾⠿⠃⠀⠀⠀⠀⠀⠈⢳⡄⠀⠈⠙⢷⣦⠀⠀⠀⠀⠀⠹⡄⡇⢀⡾⠁⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠈⢷⡀⡇⡼⠁⠀⠀⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠹⣷⠟⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠹⣿⡇⠀⠀⠀⢀⢀⣶⣿⠿⠻⠿⣶⣤⡀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⢂⠀⠀⠀⠀⠀⢀⢪⣿⠋⠀⠀⠀⠀⠈⠻⣷⡀⠀⠰⣄⠀⠀⠹⣆⠀⠀⣼⣤⣴⣶⣶⠶⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠱⡀⠀⠀⠀⢈⣿⠃⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⢿⣄⠀⢀⣻⡄⢀⡿⠋⠁⠀⢻⠀⠀⠀⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⣷⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠈⣿⣷⣿⣟⢿⣼⠇⠀⠀⠀⣸⠂⠀⡘⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠘⡆⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢰⣿⢻⣿⡇⠀⠀⢸⣷⡃⢹⣧⠛⠀⠀⠀⠀⣿⠀⠀⢧⡿⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⢻⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⢸⣿⣼⣿⡇⠀⠀⠸⣿⣿⣾⣿⡇⠀⠀⠀⢠⡇⢀⣤⣾⠷⠞⠛⠛⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣿⣜⡦⠀⠀⠹⣇⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⣤⣤⣄⣿⣿⣿⣿⡇⣀⣀⣀⣿⠾⠋⠉⠀⠀⠀⠀⠀⣰⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠿⣦⡀⠀⠀⠀⠀⠀⠉⠛⠶⣄⡀⠘⣦⡀⠀⢀⣀⡤⠿⠛⠉⠹⣿⣿⡟⠀⠹⠟⠛⠉⠉⠀⠈⠁⠀⠀⠀⣠⠆⠀⠀⠛⢧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⢤⣄⣀⠀⠀⠀⠀⠈⠙⠛⠚⠛⠛⠉⠉⠀⠀⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⢉⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⢠⣤⣴⠶⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠛⠁⠀⠀⠀⡀⠀⠀⠑⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣀⣤⣾⣟⣁⣷⡶⣤⣤⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⣻⠟⠁⠀⣀⣴⣀⡴⠟⠛⠷⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣛⠉⠀⠀⠉⠉⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠯⠤⠞⠛⠉⠹⠋⠀⠀⣀⣠⠤⠚⠋⠉⣙⠛⠛⠓⠶⠶⠛⠛⢉⠀⠈⠙⠛⠷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠖⢋⣩⣥⣤⣤⣤⣤⣙⣳⣦⣄⠀⢀⣤⣾⡯⠶⠖⠛⣿⠟⠂⠉⠉⠛⠶⢶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟ ⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⠶⠞⠛⣉⡠⠤⠀⠀⠀⢀⣽⠇⠀⠀⠈⠉⠁⠙⠛⠋⠀⠉⠀⠀⠀⠀⠈⠳⣄⠀⠀⠉⠒⠢⢤⣉⠛⠻⠿⣷⣶⣤⣤⣤⣤⣤⣾⡿⠋⠁⠀ ⠉⠉⠛⠛⢷⣶⣶⣶⣾⡿⠟⠛⠉⠀⠀⠒⠉⠁⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠉⠉⠓⠲⠤⡍⠙⢻⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣤⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡍⠙⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣧⣄⠀⠀⠀⠀⠀⢀⡴⢟⣭⡀⡾⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢸⡇⢀⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠃⠀⠀⠀⠀⠀⠀⢀ ⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⡰⢋⣴⡿⣿⣇⠳⠒⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠿⠃⢸⡿⠀⠙⠿⣦⣀⠀⠀⠀⣼⣿⡟⠁⠀⠀⠀⠀⠀⠀⢠⣾ ⠻⢿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣠⣶⡿⠋⠀⠈⣿⠀⠀⢸⣦⠴⠣⡄⠀⠀⠀⠀⠀⢀⡴⢻⣦⣿⠀⠀⢸⣇⡀⡀⠀⠈⡻⣷⣄⣸⣿⡟⠁⠀⠀⠀⠀⠀⠀⣰⣿⠟

⠀⠀⠀⢸⡇⡇⢸⡇⠀⢻⣤⣤⣤⣤⣤⠴⠶⠶⠶⡇⠘⢰⠟⠛⠛⢓⣺⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠤⠀⠀⠀⠐⠀ ⠀⠀⠀⢸⣇⣇⢠⡇⠀⠀⠈⠙⠳⢌⠉⠑⠢⣀⠀⡇⢠⠘⠀⡠⠚⢁⠎⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⡿⣏⡉⠉⠑⠒⠢⢄⡀⠑⣄⠐⣌⢢⡀⢸⡼⠋⠀⣠⠋⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⢸⡇⡇⠸⡏⠓⠦⣀⠀⠒⢌⡲⣜⡄⠈⢦⢻⠉⠀⠀⡴⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⡴⠒⠀⡀⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢸⡇⡇⠀⡇⠀⢀⣀⣙⢢⣄⠈⠻⣿⠀⠈⢦⣏⣉⣉⠉⠑⠒⠒⠠⠧⣀⣀⣀⣀⣀⣧⣤⣴⣁⣧⣸⣄⣸⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣷⣷⠔⠛⠉⠁⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠢⠤⡀⠤⠄⠠⠀⠀⠀⠀⠀⠀⠀⢀⣀⣉⠉⣳⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣯⣤⠤⡄⠒⠒⠒⣲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠒⠉⠉⣽⢃⡼⠃⠀⠀⠀⠀⠀ ⠀⠀⠘⢹⣿⡇⠀⡇⠀⠀⢠⠃⠀⡴⠢⠤⣀⣀⢀⣤⣄⣀⣀⡤⠤⠤⣄⠀⠀⠀⠀⠀⠀⣿⠛⠀⠀⠀⢀⡠⠊⣠⠛⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣯⣧⣀⣇⣀⣀⣾⢀⣾⣤⣀⣀⣀⠈⣻⠀⣸⠃⠀⣀⣀⣀⣘⣆⠀⠀⠀⠀⠀⠉⢧⠀⣀⡴⢋⣴⡏⢹⠀⣇⣀⣀⣀⣀⣀⣠ ⠀⠀⠀⠘⡟⠀⠀⠀⠀⣿⡗⣾⠟⠁⠀⠀⠀⠉⢻⢰⣿⡿⠃⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠈⠛⣡⠔⢻⢰⠃⢸⠀⣿⡇⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⣼⣀⣀⣀⣀⣿⣷⡇⠀⠀⠀⠀⠀⠀⢸⣶⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣰⠇⠀⢸⠘⠀⢸⠀⣿⡇⠀⠀⠀⠀⠀ ⠃⠀⠀⠤⢤⣤⣤⣀⣠⠀⣿⣇⠀⠀⠀⠀⠀⠀⡸⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⣀⣤⣾⡟⠀⠠⣾⠀⡄⢸⠀⡛⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⠀⢉⣢⣄⠉⠓⠾⣿⣤⠤⠔⠒⠒⠒⠳⠤⢇⡀⠀⠀⠀⠀⢀⣸⠤⠒⠊⠉⠉⠉⠉⢑⣲⡇⣸⠀⠀⢸⠀⠁⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡽⠋⠀⠀⠀⠀⠀⠀⠻⢯⡽⠃⠀⠀⠀⠀⠉⠐⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠶⢿⡀⠐⠛⠀⡀⢸⠀⡄⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⢀⣤⠄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣖⣾⡁⢸⠀⡇⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠷⠞⠁⡏⢀⡠⠤⡀⠀⠀⠀⠀⠁⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡒⠒⠂⠤⠼⣿⡇⢸⠀⡇⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠈⠑⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⠤⢤⣀⢸⡝⠓⠲⠶⠶⣿⡇⢸⣀⡇⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⡷⣿⡿⣍⣛⣻⣿⣿⣿⣿⣿⠿⠟⢿⣶⣶⢚⠛⠓⠒⠒⠒⠒⣿⠹⣼⡟⣇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠚⠉⠓⠢⡀⠉⠉⠉⠀⣰⡯⠿⠛⠓⠦⢄⣾⠛⠉⠉⠉⠉⠉⠉⠉⢹⡏⠀⠋⠀⠘⡆⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠏⠀⠀⠀⠀⠀⢀⣸⡀⢀⠤⡶⠋⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣀⠀⠀⢠⠖⠉⠁⠉⣷⠃⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣀⣀⣀⣀⠴⠛⣱⣿⢀⡠⠞⡇⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣌⠉⠉⡷⢄⣠⠖⠙⠿⣶⣺⣦⡀⠀⠀⠀⠀⠀⠀⢀⡾⠉⡹⠛⠁⢀⠜⠁⠛⠉⠀⠀⡇⣰⠃⠀⠀⠀⠠⢨ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡅⠉⠉⠓⠤⣷⣤⡀⠀⠀⠹⠷⣌⣓⠢⠤⢤⣤⡶⠛⢳⡞⠁⠀⣠⡎⠀⠀⠀⠀⠀⠀⣿⠧⠴⠶⢍⠁⠀⠀

⠀⠀⠀⠀⣀⣤⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⡶⠾⠿⠛⠛⠛⣻⠟⠉⢀⡆⠀⢀⡴⠊⢁⣾⣧⣤⣀⡀⠈⠉⠙⠓⠶⢤⣭⡓⠶⣤⡀⠀⢤⡀ ⢀⣠⣴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠘⢀⡴⠋⠀⣰⠏⢷⠀⠀⠈⠉⠙⠀⠀⠀⠀⠀⠀⠉⠙⠁⠉⠓⠶⣭ ⠟⠉⠀⣴⠷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠶⠂⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠠⣠⠏⠀⢠⣴⠃⠀⢸⡄⠀⠀⠀⠀⢠⣀⠻⠦⣄⡀⠀⠀⠀⠀⠀⠠⢬ ⠀⠀⢠⡏⠀⠀⠀⠉⠛⠲⢤⣀⠀⠀⠀⣀⡀⣀⣠⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠁⠀⠀⠀⣰⠋⠀⠀⢡⠋⠀⠀⢸⡇⠀⠀⠀⠀⠀⠉⠛⠷⢦⣝⡻⢦⣄⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⣶⠋⣓⡀⠀⠀⠈⠙⠲⢿⣽⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠒⠋⣿⠁⠀⠀⠀⢰⠇⠀⣰⠀⣏⣀⣠⠤⠼⠗⠒⠛⠛⠛⠓⠒⠲⠤⢤⣈⡛⠷⣭⡛⢦⣄⠀ ⠀⠀⢸⡇⠀⡏⢸⡏⠙⠓⠦⣤⡀⠀⠀⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⣠⡶⠛⠁⣀⣀⣴⣧⣤⣤⣤⣤⡏⠀⡴⠃⣴⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⢮⣝⠳⣭⡳ ⠀⠀⠈⡇⠀⡇⢸⡇⠀⠀⠀⠀⠉⠓⠦⣄⠀⠀⢈⠙⢦⣄⣀⡤⠶⠗⠚⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⡇⠰⠃⠀⠿⣤⠴⠆⠀⠀⠀⠀⢀⣀⣠⡤⠴⠶⠶⠶⠶⠶⠶⠶⠯⣷⣮⡛ ⠀⠀⠀⣿⠀⠇⠸⡇⠀⠀⢀⡀⠀⠀⠀⠚⠛⣦⠀⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⢠⣤⣶⣾⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁ ⠀⠀⣠⣿⡀⠀⠀⢻⠀⠀⠘⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⣤⣉⣉⠛⠛⠶⠤⣄⣀⠀⠀⠀⠀⠘⠳⢤⡀⠀⠀⠀ ⣠⣾⣿⠿⡇⠀⠀⠸⡄⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠢⠄⠀⠉⠑⠦⣄⠀⠀⠀⠀⠙⢦⡀⠀ ⣿⡟⠁⠀⣧⠀⠀⠀⢷⡀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡖⠒⠶⠤⣤⣄⡀⠀⠀⠈⠳⣄⠀⠀⠀⠈⠻⣆ ⣋⡀⠀⠀⢸⡄⠀⠀⠘⢧⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠶⣤⡀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠈⠉⠓⠶⣤⣈⢧⡀⠀⠀⠀⠘ ⠟⠀⠀⠀⢉⣷⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⠶⢦⣄⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠻⣄⠀⠀⠀⢸⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣄⠀⠀⠀ ⠀⠀⢀⣤⡿⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⣿⠻⢿⣳⣄⠀⠀⠀⠀⠀⠀⠈⢻⣿⡆⠀⠀ ⠀⢀⣾⡟⠁⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⢻⡄⠀⠙⠿⣿⣄⠀⠀⠀⠀⠀⠀⠻⣿⡆⠀ ⢠⣿⡏⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠘⡇⠀⠀⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⢹⣿⡀ ⣾⡿⠃⠀⠀⠀⢠⡞⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⣧⣀⣀⣀⡤⠤⠤⠴⠾⡄⠀⠀⡇⠀⠀⠀⠀⠹⡟⣷⡀⠀⠀⠀⠀⠀⢻⣇ ⣿⠃⠀⠀⠀⣠⡏⠀⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⣀⣀⣤⡤⢤⡶⣷⠀⠀⢿⡘⠷⠟⠃⠀⠀⠀⠀⡇⠀⠀⣧⠀⠀⠀⢰⡄⢻⡼⣇⠀⠀⠀⠀⠀⠀⣿ ⡟⠀⠀⠀⢠⡟⠀⠀⠀⠸⣿⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡖⠒⠛⠉⠉⠀⠀⠙⠛⠛⠁⢹⡀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⣿⠀⣀⣀⣀⣷⣼⣷⣿⡄⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠹⣧⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⣼⠀⣠⠟⠛⠉⠉⠀⢀⣴⢿⢹⡇⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠘⣧⡀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣧⡤⠶⠶⠛⠒⠶⠶⠶⠤⣤⡿⠎⠀⠀⠀⠀⠀⣰⣿⣷⣾⢺⡇⠀⠀⠀⠀⠀⡿ ⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⢰⣏⣻⣤⠴⠿⠶⠶⠶⠶⠶⠶⠤⣼⣦⣀⣀⣀⣀⣠⠴⠖⠉⠁⠀⠀⠀⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠋⠉⠉⠉⠙⠛⠷⣄⠀⠀⠀⢠⡇ ⠀⠀⢸⣿⠀⠀⠀⠀⢀⣠⠴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⣤⣄⣀⣀⡀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠤⠤⠀⠀⡸⠀ ⠀⠀⢸⣿⠀⠀⠀⣴⠯⠥⣤⣤⣀⣀⡤⣤⣤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⠋⠀⠀⠀⠀⠀⣰⠇⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⣦⣼⡟⠁⠈⡏⠀⢸⡃⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⢀⡏⠀⠀ ⠀⠀⢸⣾⣿⠀⠀⠀⡏⠈⣧⠀⠀⢧⡀⠈⢳⡀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⢶⣶⣒⣒⣲⣶⣦⣽⣆⣀⣀⣿⣀⡴⠋ ⠀⠀⠀⢿⣿⣆⠀⠀⢿⡀⠹⣷⡀⠀⠹⣄⠀⠙⢦⡀⠀⠀⠀⠉⠓⠦⢄⣀⠀⠀⠀⠀⢻⡄⠈⠻⣿⠇⠀⠀⠀⠀⠀⠀⣀⡴⣾⣟⣿⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⡀⠁⠈⢹⡆ ⠀⠀⠀⠈⢿⣿⡆⠀⠈⠻⣄⠈⠻⣦⡀⠈⠳⣄⠀⠓⢦⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⠀⠀⠻⠶⠾⠃⠀⠀⢀⣀⡤⠾⠛⣉⣵⣿⡿⠻⢦⣄⣤⡤⠤⠶⠒⠚⠛⢛⡿⠁⠀⣰⡿⣴ ⠀⠀⠀⠀⠈⢿⣿⣦⣄⠀⠈⠳⣄⡈⠻⢦⣤⣈⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣀⣠⣤⡤⠴⠒⠚⠋⠉⠀⣤⡾⠋⠁⠈⠙⠲⠤⠒⠛⠫⠷⣶⣦⣄⣴⠋⠀⠀⣤⣿⡟⠁ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣄⠀⠈⠙⠲⣤⣀⠉⠉⠒⠒⢤⣤⣤⡤⠖⠒⠒⠲⠤⣼⡟⠉⢁⣠⣤⣤⣤⣤⡴⠶⢺⡟⠀⠀⠀⡀⠀⣠⠞⠀⢠⠞⠀⠀⠽⢿⣇⠀⢀⣾⡿⠋⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡳⣦⡀⠀⠀⠈⠉⠙⠒⣶⠟⠉⠀⢀⠀⠀⠀⠀⠀⠀⣻⣄⠀⣉⣿⣶⠄⢀⡶⠋⢹⠃⠀⠀⠀⣧⣴⠋⠀⠀⡞⠀⠀⢸⢠⢸⠈⣧⣾⡿⠁⢀⣴⣋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣮⣝⣷⢦⣄⡀⠀⠀⢳⣀⠀⢠⣬⣤⠤⠤⣴⣀⣴⣿⠛⠛⠛⠿⠥⣠⡏⠀⠀⣿⠀⠀⠀⢠⢿⠇⠀⠀⢰⠇⠀⠀⢸⣾⢀⡇⣿⠟⠒⠛⠋⠁⠀ ⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣛⣿⣿⣿⣿⣷⡦⣤⣬⣿⣿⣻⠃⢀⡾⠋⣠⣟⣙⣦⣀⠀⠀⢀⡞⠀⠀⠀⣿⠀⠀⢀⡾⡞⠀⠀⠀⣾⠀⠀⠀⣾⣧⡾⢰⡇⠀⢀⣀⣀⣀⠀

⠀⠀⢀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠶⠖⠛⠛⠛⢻⠟⠁⢠⠀⣠⠔⢉⣼⠧⠤⢤⣀⠉⠙⠒⠢⢭⣳⡦⣄⡠⢄ ⣴⠞⢋⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⢀⠜⠁⢠⠎⠸⡀⠀⠀⠈⠀⢠⣄⠀⠀⠀⠀⠀⠉⠻ ⠀⠀⡞⠈⠉⠑⠲⠤⣀⠀⠀⠀⡀⢀⣠⠤⠒⠉⠀⠀⠀⠀⠀⠀⢀⣠⠏⠀⠀⢠⠏⠀⢈⠏⠀⠀⡇⠀⠀⠀⠈⠓⠮⣝⡲⣤⣀⠀⠀⠈ ⠀⠀⡇⠀⡆⣠⣄⡀⠀⠉⠒⠿⣏⠉⠁⠀⠀⠀⠀⠀⠀⣠⠤⠂⢹⠇⠀⠀⢀⠏⢀⠄⣼⡠⠄⠒⠓⠚⠉⠉⠓⠒⠒⠤⢍⣛⢿⣷⢦⡀ ⠀⠀⡇⠀⠁⡇⠀⠉⠓⠦⣄⡀⠈⠑⠢⣄⠀⠀⢀⣴⡫⠥⠤⠒⠚⠒⠒⠒⢾⢀⠎⢰⡇⢀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣈⣙⣮⣛⢯ ⠀⠀⢳⠀⠀⢧⠀⠀⠀⠀⠀⠉⠶⣄⠐⢬⡁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠉⠁⣀⣤⣴⠒⠊⠉⠉⠁⠀⠀⠀⠀⠀⠉⠙⠃ ⠀⢀⣾⡀⠀⢸⡀⠀⠃⠀⠀⢀⡴⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠭⣉⡙⠒⠢⢤⣀⠀⠀⠀⠓⢦⣄⠀⠀ ⣴⡿⠛⡇⠀⠀⣇⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⡉⠀⠀⠀⠙⠢⡄⠀⠀⠙⢷⡀ ⠟⠀⠀⢻⠀⠀⠸⡆⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣄⡀⠀⠀⠀⢳⠀⠉⠉⠙⠒⠦⢤⡈⢦⡀⠀⠀⠹ ⠋⠀⠀⢹⡇⠀⠀⠙⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠢⣄⠀⠀⠀⠀⡞⠁⠀⠀⠙⣄⠀⠀⠸⣷⣤⡀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀ ⠀⢀⣴⠟⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠈⢦⠀⠀⠀⡇⠀⠀⠀⠀⠘⣆⠀⠀⣏⠙⢿⣦⡀⠀⠀⠀⠀⠙⣿⡄⠀ ⢀⣾⠃⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠈⢧⠀⠀⣇⠀⠀⠀⠀⠀⠸⡀⠀⢸⠀⠀⠉⣿⣦⠀⠀⠀⠀⠘⣿⡀ ⣾⡟⠀⠀⠀⡼⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢸⣄⣤⣤⠤⠤⠴⠇⠀⢸⠀⠀⠀⠈⢿⣷⠀⠀⠀⠀⠘⣷ ⡿⠀⠀⢀⡾⠁⠘⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢁⣀⣀⠤⠤⠤⢶⣶⡾⢳⠀⠘⡆⠙⠉⠀⠀⠀⢰⠀⢸⡆⠀⠀⢳⠘⣿⡇⠀⠀⠀⠀⢹ ⠃⠀⠀⣾⠁⠀⠀⠘⢿⠙⣄⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢳⡀⠀⠀⠀⠀⢸⠀⣸⡧⠖⠒⠛⢛⣿⣿⠀⠀⠀⠀⢸ ⠀⠀⢰⡇⠀⠀⠀⠀⠈⣷⡈⠳⣄⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⠔⢓⣲⠤⠤⠤⡼⠟⠁⠀⠀⢀⣴⣿⣿⣿⠀⠀⠀⠀⡼ ⠀⠀⣿⠀⠀⠀⠀⠀⣀⡯⠿⠒⠛⠓⠛⠛⠒⠒⠒⠷⠤⠤⠤⠖⠚⠉⠀⠀⠀⠺⠿⠟⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠉⠉⠒⠀⠀⠀⠇ ⠀⠀⣿⠀⠀⢀⣴⣚⣁⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣦⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⠖⠒⠋⠁⠀⡜⠀ ⠀⠀⣿⡀⠀⠈⣤⣼⠋⠉⡋⠈⡏⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⢰⠁⠀ ⠀⠀⣿⣿⠀⠀⣏⠸⣆⠀⠣⡀⠙⢄⠀⠀⠉⠢⣄⡀⠀⠀⠀⠀⢻⡛⠿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣠⣴⣶⠿⠿⠿⠶⠶⠿⠤⠤⠧⢴⡋ ⠀⠀⠘⣿⣧⠀⠙⣆⠙⢧⡀⠙⢦⡀⠳⣄⠀⠀⠀⠉⠑⠒⢤⡀⠀⠳⣄⡼⠃⠀⠀⢀⣠⠴⠞⣿⣿⣧⡀⢀⣀⣀⣀⠤⠤⢤⠆⠀⣸⢇ ⠀⠀⠀⠙⣿⣦⣀⠈⠳⢄⡙⠦⣄⣙⠀⠈⠀⠀⠀⠀⠀⠀⠀⢹⣄⣀⣀⠤⠤⠖⠚⠉⣀⡴⠋⠉⠓⠤⠭⠿⢷⢶⣤⣀⡴⠋⠀⣴⡿⠋ ⠀⠀⠀⠀⠈⢿⣿⣷⣄⠀⠉⠲⠤⣄⣉⠁⣲⡤⠖⠒⠒⠒⠒⠾⡏⠀⢤⣴⠤⠶⢖⣺⡟⠀⠀⢀⢀⡔⠁⢠⠋⠀⡞⢻⣄⢀⣾⡟⠁⣠ ⠀⠀⠀⠀⠀⠀⠙⠿⣾⣷⣦⣀⠀⠀⠀⢹⠃⠀⢀⣀⣀⣀⠀⢀⣿⠦⢴⣿⡃⡴⠋⢠⠃⠀⠀⣸⡞⠀⠀⡎⠀⠀⣷⢸⢸⣿⣏⠤⠾⠃ ⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⣿⣿⣷⣦⣤⣽⣶⣿⠏⢠⠞⢩⣟⢳⣄⠀⠀⣹⠃⠀⢸⠀⠀⢠⣿⠀⠀⢰⡇⠀⢰⣿⡼⣸⠁⢀⣀⣀⠀

⠀⠀⣿⡇⡇⠘⠶⣶⠶⣒⠒⠣⠃⠋⢉⢭⠿⠀⠀⠀⠀⠀⠀⠀⠀⢰⠒⠀⠀⠀ ⠀⠀⣿⡷⣁⠒⠂⠄⡑⡔⢕⠄⡠⠊⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⣿⡇⡇⠉⠂⢌⠚⢾⡀⢞⡤⠴⠥⠤⢀⡀⠀⣀⣈⣀⢆⡀⡀⢸⠀⠀⠀⠀ ⠀⠀⡿⠗⢉⣁⣀⡈⠉⠀⠀⠀⠀⠀⠉⠁⠒⠀⠐⠐⠀⠀⢀⡀⠤⡬⡹⠀⠀⠀ ⠀⠘⣿⡇⡇⠀⡘⢀⠦⠄⣀⡠⣀⡀⠤⢤⠀⠀⠀⠀⡖⠍⠀⡠⢊⢽⠁⠀⠀⠀ ⠀⠀⢿⠓⠓⢲⣧⡾⠒⠂⠠⣇⣎⠄⠒⠒⢣⠀⠀⠀⠘⠤⡪⡖⠁⢸⡖⠒⠒⠒ ⡔⠀⠸⠤⠤⠼⣿⠀⠀⠀⠀⣷⠉⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⡇⠀⢸⡧⠀⠀⠀ ⠀⠀⠄⢫⣉⠃⠿⡄⠠⣄⡠⠭⢄⠀⠀⠀⡰⠤⠐⠒⠛⢃⡌⡇⠀⠐⢘⠀⠀⠀ ⠀⠀⠀⡐⠁⡀⠀⠀⠈⠓⠁⢀⠄⠀⠉⠁⠀⠀⠀⠀⠈⠃⢌⢡⠀⢰⢸⠀⠀⠀ ⠀⠀⠀⠗⠡⣁⠤⢄⠀⠀⠈⠈⠂⠀⠀⠀⠀⠀⠀⠐⣖⣒⠂⢿⠀⢸⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⣱⢶⣖⣶⣶⣶⣶⡿⢿⣭⠴⠥⠤⠭⢽⢢⡾⣘⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠊⠉⠉⢂⠀⣀⡜⠋⠉⠐⠺⠉⠉⠉⠉⢉⠏⠈⠀⢁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢀⣀⠔⠀⣹⡌⠈⠀⠀⠀⠀⠀⡇⣀⡠⠔⡻⣇⠄⡆⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡒⠘⢕⣎⡀⠙⢺⣔⡤⣀⣠⡴⢥⠊⢀⠎⠀⠀⠀⣠⠣⠄⠂⠁

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⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠉⠉⡹⠁⢀⠔⠨⠞⠒⠢⠉⠁⠚⠱⠢⢆ ⠁⡜⠁⠒⠠⢀⢀⣀⡠⠐⠂⠁⠀⠀⢀⡔⠀⢠⠂⢠⠃⢸⢀⣀⠐⠩⢖⣤⡀⠀ ⠀⠇⠀⡖⠂⠄⡉⠓⠤⡀⠀⢠⡔⠉⠴⠤⠤⡆⠄⡔⠈⠉⠀⠀⠀⠉⣁⡊⢟⢖ ⠀⢠⠀⠇⠀⠀⠀⢓⠌⠪⠁⠀⠀⠀⠀⠀⠀⠁⠀⠈⢠⠶⠎⣉⠀⠀⠀⢄⠈⠉ ⡴⠛⡀⠸⡀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠁⣂⡈⠐⢄⠀⠑⢄ ⠇⠀⣇⠀⠡⠎⠀⠀⠀⠀⠀⢀⡠⢄⠀⠀⠀⠖⠉⠢⠀⠀⣦⡀⠀⠉⠐⢷⡀⠀ ⢀⡞⠙⡄⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠱⡀⠀⠀⠀⠀⢡⠀⢫⠙⢦⡀⠀⠈⢻⡀ ⡾⠀⢀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⡧⣤⠤⠤⡆⢸⠀⢈⢻⡄⠀⠀⢳ ⠃⠀⡎⠀⠹⡦⡀⠀⠀⠀⢰⠒⠈⠉⠛⠉⡄⢡⠀⠀⠀⠁⢸⠠⠬⢾⣿⠀⠀⢸ ⠀⢸⠀⠀⠀⢱⣌⡢⠀⠀⣀⣆⠀⢀⡀⠤⠓⢒⣥⠖⠒⠚⠁⠀⠴⠷⠿⡀⠀⠸ ⠀⣿⠀⠠⢒⣉⡀⣀⣀⠀⠀⠀⠀⠀⣶⣦⣤⣤⠄⠀⠀⠀⠀⠀⠠⢤⠒⠒⢀⠂ ⠀⢿⡄⢰⢺⡀⢄⠣⡀⠑⢄⡀⠀⠀⢹⠿⣿⡟⠀⠀⠀⢀⣠⣤⡤⠤⠵⠀⣌⡔ ⠀⠘⣷⡀⠣⡑⢄⠀⠀⠀⠀⠈⠁⠂⡄⠑⠜⣀⠠⠔⡺⠿⡣⣤⣄⡀⢒⠖⢠⡧ ⠀⠀⠈⢿⣦⣈⠒⠭⠁⣒⠤⠐⠒⠂⢏⠩⣥⠄⡒⡞⠀⡀⡔⢀⠂⡝⡧⣰⠟⡠ ⡀⠀⠀⠀⠉⠳⢷⣦⣄⣑⣤⡶⢲⢆⢾⡉⠛⡌⠀⡇⢀⡟⠀⡌⠀⣟⢇⠋⣈⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⣰⠖⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠉⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⣱⠤⠒⠊⣉⠽⠛⠀⠀⣠⠄⢀⣤ ⠀⠀⠀⠀⠀⢠⠃⢰⠑⠦⡀⠉⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⣠⠖⢉⠄⢀⡠⠊⠁⠀⢀⡴⠋⣠⡶⣿⣿ ⠀⠀⠀⠀⠀⢸⠀⡌⠀⡶⢬⡓⢄⠈⠓⢄⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⢠⠃⠀⠀⢠⠞⢁⡴⠁⣠⠚⡇⠀⠀⣠⢋⣴⣿⣿⣷⣿⣿ ⠀⠀⠀⠀⠀⢸⠀⡇⠀⡇⠀⠉⠳⣄⠀⠀⠑⢤⡀⠀⡴⠁⠀⠀⠀⠀⠀⢀⠏⠀⠀⢠⠏⡠⠊⢀⡼⠥⠒⠛⠉⠉⠉⠉⠉⠉⠛⠻⢿⣶ ⠀⠀⠀⠀⠀⢸⢸⠀⢠⡇⠀⠀⠀⠈⠳⣄⠑⢄⠑⢞⣀⣀⠤⠤⠔⠒⠒⠚⠒⠒⠒⡏⠜⠁⢀⠎⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠉ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⣇⠀⠀⡠⠒⠤⠌⣳⡄⠑⢄⡁⢀⣀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⡜⠀⠀⠠⠖⠾⢿⣿⣛⢩⡯⢭⣍⠉⣿⢻ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⡜⠁⠀⣀⠤⠒⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣇⢈⣤⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⣇⣠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠢⠤⣀⡀⠀⠀⠉⠻⣿⣿⣿⠷ ⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣄⠀⠘⢿⣧⡄ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠘⣷⣿⣷⣦⡈⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⣄⣀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣠⠔⢛⣇⠀⣿⣿⣿⣿⣻⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠸⡟⢦⡀⠀⠀⠀⠀⢠⠖⠚⠉⠉⠉⠉⠉⠉⠉⠉⠓⠂⠤⢤⣤⠞⢸⠀⠀⣠⡴⠟⠛⠹⣭⣿⡆⢸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣀⣀⣀⣀⣹⣄⣑⣄⠀⠀⠀⢸⠤⠤⠀⠐⠒⠒⠒⠒⠒⠒⠒⠠⡤⢤⡇⠀⠙⢴⠞⠁⠀⣀⠤⠖⠛⣩⠟⠋⠁⠉⢉⣻⣷⣌ ⠀⠀⠘⠯⣁⠀⠀⠀⠀⠀⠉⠉⠓⠒⠤⣽⡀⠀⠀⣀⣀⡠⠤⠤⠤⠤⠀⡀⣷⣚⣇⣀⠤⠞⠒⠒⠯⢄⣀⡠⠞⠁⠀⠀⠈⠺⢿⣿⡟⢻ ⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣳⣤⣀⠀⠀⠀⠀⠀⢀⣀⠤⠟⠉⠀⢀⣤⠔⠒⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣤ ⠀⠀⠀⠀⠀⣀⠜⠋⠳⠄⠀⠀⠀⠀⠀⡀⢰⠋⠀⠙⡌⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠻⠿⠿⠃⠀⠀⠀⣀⠤⠒⠉⠉⢦⣀⣀⢹⣿ ⠉⠒⠤⣀⡔⠁⠀⠀⠀⠀⠀⠀⠀⢰⠋⠈⢻⡀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⣠⡏⠙⣿⣿⣿ ⠀⠀⠀⡞⠀⠀⣀⡤⠤⣶⠖⠂⠀⢸⡀⠀⠀⢣⠀⠀⠀⢸⠤⢄⣀⡠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿⣿⡿⠛⠁ ⠀⠀⠸⠷⠚⠉⠉⢦⡰⠃⠀⠀⢀⣀⣧⡀⠀⠀⢣⡀⢰⠃⠀⠀⡇⠀⠸⣝⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠙⡿⠟⠁⣠⢴⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⡤⠒⠊⢉⣀⣀⣷⡄⠀⠀⠱⣌⣆⠀⠀⢳⡀⠀⠘⡞⣆⠀⠀⠀⠀⠀⣀⣀⠤⣴⣷⣤⣀⣠⠔⣁⠴⠊⠁⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠖⠋⠁⠀⠀⣉⣿⣦⣄⠀⠈⠛⠦⣄⡴⢳⠦⠔⠃⢸⣦⣤⣶⡶⢟⡟⣻⡄⢻⣿⣿⣫⡴⠋⠁⠀⠀⢀⣿⠀ ⠀⣤⠀⠀⢸⠉⠲⢄⠜⠁⠀⠀⠀⢀⣾⣅⡀⠀⠈⠃⠀⠀⠀⠀⠀⢸⠀⠀⠀⣸⠿⡅⠀⣠⡾⠿⣴⠙⣤⠿⠛⠁⠀⠀⢀⣠⠖⠋⢱⠀ ⡼⠛⠳⡄⢸⠀⢠⡎⠀⠀⠀⢠⠞⠁⢀⡿⠻⠿⢿⠬⢽⣖⡒⠠⠤⢬⣁⡤⠖⠁⢀⣟⠉⢁⣀⠔⠁⠀⠘⡄⠀⠀⠠⠖⢋⡠⠖⢻⠹⠀

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⠀ ⠀ (\__/) (•ㅅ•) Don’t talk to ＿ノヽ ノ＼＿ me or my son `/　`/ ⌒Ｙ⌒ Ｙ ヽ ever again. ( 　(三ヽ人　 /　 | |　ﾉ⌒＼ ￣￣ヽ ノ ヽ＿＿＿＞､＿_／ ｜( 王 ﾉ〈 (\__/) /ﾐ`ー―彡\ (•ㅅ•) / ╰ ╯ \ / \>

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., . _,'f----.._ |\ ,-'"//_\ | ,' |,_ ,--. / /,-. ,'`. (_ | 0 0|__ "`-. ,-._ʘ,--'_ `. _.,-` `"' __/ .,'` j,-' `-.__.,--'

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣴⣶⣶⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠆⣦⣀⠰⣿⣀⣀⢠⣤⣾⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠑⣆⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣿⣿⣼⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣾⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠾⠟⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⣿⣿⣿⡗⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⡀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣧⣿⣿⣿⣿⣿⡏⠀⠀ ⢀⣤⡀⠀⠀⠀⠒⣼⣇⠀⠀⢹⣿⢯⣴⠿⠛⠉⠀⣀⡈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘ ⣻⣿⠷⠗⠀⢰⣿⣽⣿⠆⠀⣾⣡⡿⠁⠀⠀⣰⣿⣷⣿⣷⠘⢿⣿⣿⣿⣿⣿⡿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣠⣶⣶⣦⡀⠈⠻⣿⣿⣿⣿⣿⣾⣋⣿⣿⣿⣿⣿⣿⠁⠀⠀ ⠙⠁⠀⠀⠄⠸⣿⣿⡏⠀⠀⢈⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⡇⠘⣿⣿⠇⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⣿⣿⠏⠀⢸⣿⣿⣿⣿⣷⠀⠀⠸⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⡿⢠⣤⠀ ⠀⢀⣀⡀⠀⠀⢹⣿⡏⠀⢠⠛⠁⢳⡄⠀⠀⣿⣿⣿⣿⣿⠁⣸⡿⠁⠀⢀⡉⢶⡶⣶⣄⡀⠀⠈⠙⠻⣿⡄⠀⢸⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⣷⠈⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀ ⠶⠿⠿⣿⣧⣤⣿⢻⣇⣰⠏⠀⠀⠈⣳⠌⠛⠚⠛⡛⣛⡥⠴⠋⠀⣠⣶⣿⣦⣾⣿⣿⣿⣿⣶⣤⡄⠀⠙⠻⢦⡌⢿⣿⣿⡿⢃⣰⣻⡿⠋⢿⣿⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⡧⠀ ⣶⣿⣿⣿⠿⠛⢁⣠⠟⡏⠀⠀⠀⠀⠉⠙⠒⠛⠛⠛⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠈⠙⠓⠲⢯⣛⠛⠉⠁⠀⠀⠀⢹⣿⣧⣼⣿⣿⣿⣏⣙⣻⣿⣷⣀ ⠛⠛⠛⠛⠛⠟⠋⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡙⠛⠉⠛⠟ ⠀⠀⠀⠀⠀⠀⠀⢆⣵⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣻⣷⡀⠀⠀⠀⠀⠠⠾⣿⣀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢙⡻⠛⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠠⠀⠀⠀⢠⣶⣤⣥⡄⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠋⣿⣿⣾⣿⣿⣿⣧⡀⠀⠋⣼⣿⣷⣤⣤⣬⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣦⣀⣾⣿⣿⣿⣿⡄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠛⠿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠈⠻⣿⣿⣿⣿⣿⢿⣿⠿⣿⣿⣿⣿⡿⣿⠟⠁⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠙⢿⣶⣯⣭⣟⣛⣫⣭⣵⣾⣿⡗⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⣀⣸⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀

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

⠀⠀⠀⠀⠀⢀⡀⠤⠤⠤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⠂⠁⠀⠀⠀⠀⣆⣢⢄⠀⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠙⠛⠻⢶⡤⠄⢀⣿⢀⠡⠷⠄⠀⠀⠑⢤⠒⢩⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠂⠁⠀⠀⠀⠛⠁⠔⣨⣅⡢⡀⠀⠈⡦⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠸⡘⠀⡀⠹⡞⠀⠀⣾⢥⠂⢄⠀⣀⠀⠀⠀ ⠀⡌⠀⠀⢀⣠⣤⠆⠀⠀⠀⢣⢰⡞⠀⠹⡀⣽⡾⠀⢢⢈⢃⠔⢙⣄⠀ ⢰⠀⣠⡴⠟⠻⠁⠀⠀⢢⣏⢖⡝⠡⠤⠐⠛⢿⠿⠀⣸⠀⡢⡎⠠⢬⠆ ⢨⡴⠉⠀⠀⠇⠀⢀⣴⡿⢿⡶⠭⡥⢤⡴⢂⠁⠀⢰⣆⠻⣄⣘⣴⠖⠀ ⠈⠀⠀⠀⠀⠀⢠⠞⢡⠊⣤⡒⢋⠀⡇⠀⠈⣇⡒⠊⡢⠤⠖⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠋⠀⢨⣦⠜⠈⡏⠓⢃⠀⢀⠇⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠀⠀⠀⠹⣧⠘⠁⠀⣄⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠿⡟⠻⡏⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡰⢠⣷⢁⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣅⠃⠓⢊⠑⠠⠖⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠵⠬⣄⢀⠱⠓⠟⠉⢉⠝⠂⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠛⠒⠠⠀⠈⢢⠀⣾⠀⢰⠁⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠊⠀⠀⠀⠀⢱⣀⡼⠊⠉⠙⠛⠒⠒⠶⠒⠒⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠲⠤⠤⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠟⠛⠛⠉⠉⠉⠁⠀⠀⠈⠉⠉⠙⠛⠿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠹⣧⡀⠀⠀⠀⡏⠉⠙⠋⢹⡆ ⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠉⠉⠛⠿⣦⡀⠀⠸⣷⡀⠀⠀⠹⣄⠀⠠⡹⠃ ⠀⢀⣿⠃⠀⠀⠀⠀⣠⣶⠾⠟⠛⠉⠉⠛⠿⣶⣄⠀⠀⠀⠀⣰⠃⢀⣠⣤⣄⠀⠈⢻⣦⠀⢻⣧⠀⠀⠀⠈⠓⠋⠀⠀ ⠀⢸⣿⠀⠀⠀⣠⣾⠋⠁⠀⠀⢀⣠⣤⣤⣤⣈⠙⣷⣄⠀⢠⣏⣶⣿⣿⣿⣿⣿⣦⠀⢻⣧⠘⣿⢀⢸⡛⠛⢲⠀⠀⠀ ⠀⣾⡇⠀⠀⢠⡿⠁⠀⠀⣠⣾⡿⢿⣿⣿⣿⣿⣷⣌⢿⣆⢸⣿⡋⠉⢉⣿⣿⣿⣿⣧⠈⣿⠀⣿⣿⠀⠹⠶⠋⠀⠀⠀ ⠈⡟⣿⠀⠀⢸⠇⠀⢀⣼⣄⠈⠀⣸⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣶⣿⣻⣿⣿⣿⣿⣤⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⢹⡆⠀⢸⡄⠀⣾⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣇⣿⢹⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠏⣸⢧⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣇⢳⡀⠈⢧⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢎⠃⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠟⠁⠀⠀⠈⠻⣿⣿⣿⣿⡿⠟⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠈⠙⡻⠿⢿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⣀⡀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠬⣷⣄⡲⣤⣈⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢛⡵⠚⠁⠀⢀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⠀⠀⢻⣿⠒⠭⣟⣷⢶⣤⣤⣤⣤⣤⣤⣤⣤⣶⢾⣟⠯⠗⠊⠁⠀⠀⠀⣾⠟⠁⠀⢘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣧⠀⠀⠈⣿⡄⠀⠀⠈⠉⠛⠛⠛⠛⠛⠒⠋⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⠇⠀⠀⠙⠛⠛⠒⠒⠛⠛⠛⠻⠿⢷⡢⣤⣔⡶⠿⠟⠛⠛⠛⠻⠿⠽⠟⠁⠀⠀⢺⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⢿⣿⠒⠲⠛⠙⠲⠦⢼⣿⡿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣇⡇⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡻⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⢀⡾⡿⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⢀⣠⣴⢯⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠶⠶⣖⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠘⠮⣷⣶⡤⡤⠴⠾⠟⠋⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⡉⡱⠀⠀⠤⠤⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡤⢄⡀⠀⠀⠀⠀⡀⠔⠪⢋⠔⠁⡇⡇⠀⠀⠀⠀⠀⠀⠉⠐⠤⡀⠀⠀⠀ ⠀⠀⢳⠀⠀⠁⠐⡢⠊⠀⠔⠡⠥⢀⡀⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡄⠀ ⠀⠀⠀⠣⠀⢀⠎⠀⠀⠀⠄⠒⠐⠂⡌⠁⠘⠀⠀⠀⠀⠒⠠⢀⡀⠀⠀⢀⣈⢢ ⠀⠀⠀⠀⠋⠈⠀⠀⠀⢀⠖⠉⠉⠱⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠈ ⠀⠀⠀⠀⢿⡆⠀⠀⠀⡎⠀⡰⠄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠀⠈⡟⣠⠀⢀⠀⠀⢫⣶⢠⠧⢄⠀⠀⡀⢲⠀⢀⠀⠀⠀⠀⠀⢡⠀⠀ ⠀⠀⠀⠀⢀⣘⣿⣦⡎⠀⢀⡨⠞⡑⣶⢨⠄⠈⢀⠜⠀⠀⠈⢦⡀⠀⠀⠈⡄⠀ ⠀⠀⢀⠔⠚⠛⢿⣿⣄⣀⣀⡰⠚⠋⠉⠐⠲⣎⡀⠀⠀⠀⠀⠀⡏⠢⡀⠀⡇⠀ ⠀⠀⡇⠀⠀⢠⣊⣉⡟⠉⠋⠀⠀⠀⠀⡀⢂⡰⢌⠐⠀⠀⠀⠀⢸⠀⠈⢆⡇⠀ ⠀⠀⢣⡰⢴⠻⣤⠄⢆⣄⠢⣀⣀⡴⠂⣰⠜⢧⡀⡆⠈⠄⠀⠀⠸⠀⠀⠈⠀⠀ ⠀⠀⠀⠉⠉⠉⠙⢄⡀⠉⡏⠁⢀⡗⠮⡀⠀⢸⠈⠀⠀⠸⠀⢀⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⡒⢤⡀⠸⡘⢄⠈⢢⣸⠀⠀⠀⠀⣆⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠘⡰⠀⢻⠢⠕⢤⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢃⠇⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣇⠘⣸⡀⢰⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡯⡉⠉⡒⡿⣃⣀⠿⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠄⠚⠣⡤⢀⡣⠤⠀⠀⠀⠊⢙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠤⠊⠁⠉⢆⠀⠀⠐⡀⠱⠤⠤⠤⢤⠶⠁⠓⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⠁⠀⠀⠀⠀⠘⡀⠀⠀⠃⡇⠀⠀⡔⠁⠀⠀⢀⡀⠬⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠉⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⢷⢄⡸⠀⠀⠀⡰⠁⠀⠀⠀⠣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠫⢦⣄⣀⠃⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠴⠶⣤⣤⣤⣼⠆⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣾⣿⡿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣤⣤⣀⣀⡀⠀⢀⣠⣴⠿⠛⠉⢡⣴⣿⢿⡱⣱⢹⣿⣦⣄⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣯⡉⠉⢛⣿⡿⠛⠀⠀⠀⣴⣿⣿⣗⡚⡞⣴⣼⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⠋⣍⢏⠿⢽⣿⣿⣭⣍⡀⠀⠀⠀⠀ ⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⠀⢀⠉⠙⠛⠿⡿⢿⣷⣾⣿⠀⠀⣙⣻⣷⣦⡀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⠁⠓⠄⠀⠀⠁⠀⠉⢻⣿⣤⣾⣿⣿⣾⣿⣷⡄ ⠀⠀⢰⣿⣿⣿⣿⣿⣤⡤⣊⣴⠷⠶⢧⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠈⢻⣾⢻⣿⣿⣿⣿⠿⠁⠀⠀⠀⠹⡆⠀⠀⠀⢠⣿⣿⣿⡿⠛⠿⠿⢿⣿ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⡏⠀⠀⣾⠿⡇⠀⢹⠀⠀⠀⣼⣿⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⢅⠀⠀⣿⣿⡇⠀⣸⣷⣷⣿⣿⣿⣿⣿⠛⢿⣆⠀⠀⠀ ⠀⠀⠀⠀⢠⣼⣿⣿⣦⣑⠕⢄⢙⡛⡃⣰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⢷⡀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⡏⠻⠷⠿⠣⠥⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⣄⠸⣷⠀ ⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣷⣶⣶⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠙⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣷⡄⠀⠈⠻⣿⡇ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡿⠿⢻⡛⠁⢰⠠⣤⠋⠀⠉⠻⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣶⣧⣿⡿⡉⠀⠀⠀⠀⠹⡔⣿⣡⡈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢿⣿⣧⢛⣝⢅⠀⠀⠀⠀⣧⣻⣟⢳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣸⠛⢿⣦⡟⡯⡽⣵⠂⠎⣿⣿⡟⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠋⠀⠀⠙⣿⣿⣷⣯⣭⣷⣿⣿⣧⣘⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠶⣄⢀⣠⣤⠴⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠉⠉⠉⠛⠶⠶⠖⠒⠒⣾⠋⠀⢀⣀⣙⣯⡁⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⢯⣼⠋⠉⠙⢶⠞⠛⠻⣆⠀⠀⠀ ⠀⠀⠀⢸⣧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⡤⢿⡀⠀⢀⣼⣷⠀⠀⣽⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢏⡉⠁⣠⡾⣇⠀⠀⠀ ⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⢻⡀⠀⠀ ⣀⣠⣼⣧⣤⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠐⠖⢻⡟⠓⠒ ⠀⠀⠈⣷⣀⡀⠀⠘⠿⠇⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠿⠟⠀⠀⠀⠲⣾⠦⢤⠀ ⠀⠀⠋⠙⣧⣀⡀⠀⠀⠀⠀⠀⠀⠘⠦⠼⠃⠀⠀⠀⠀⠀⠀⠀⢤⣼⣏⠀⠀⠀ ⠀⠀⢀⠴⠚⠻⢧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠉⠉⠓⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠶⠶⠶⣶⣤⣴⡶⠶⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀★welcome chessecake★

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠒⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠤⣤⠊⠁⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⢺⢋⠐⡍⢦⠀⠀⠀⠀⡠⣔⠯⡍⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⢸⠞⠉⠀⠀⠀⠀⠀⠀⠈⠑⠴⡙⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢀⣀⢇⢰⠉⢢⡀⢀⠀⣠⠊⠱⢈⢃⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢡⠃⢨⡞⠦⢘⣟⡮⣛⣟⡠⢼⠎⢸⢅⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢨⠀⣀⡱⢄⠢⢄⣙⡁⠀⡠⠎⠀⡇⢈⠏⠑⡄⠀ ⠀⠀⠀⠀⠀⡜⠉⢀⡀⠀⢉⠵⠒⠊⡟⠲⢢⡜⠏⢁⢀⡀⣺⠀ ⠀⠀⠀⠀⠀⢃⠀⢫⠀⢠⠁⣀⠤⢼⠁⠀⡇⠀⢠⡸⠀⠙⠮⡣ ⠀⠀⢀⠔⣉⣩⠒⠊⠱⡊⠁⠀⢀⡮⠤⠼⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⢮⠎⡎⢹⠔⠉⠉⠣⡀⠀⠸⣂⣀⠤⡼⠤⢄⡀⠀⠀⠀⠀ ⢰⠹⡈⢆⣣⢔⢵⢀⢧⠱⣜⣖⢸⣠⣋⣎⣀⣀⡀⠨⠆⠀⠀⠀ ⠘⠤⠜⠃⠀⠁⠈⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⢰⣿⠛⠷⡞⠛⢳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠛⣷⠾⣻⢷⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣷⠑⡆⢳⡆⠀⣿⠀⠀⠀⠀⠀⢭⢓⠿⠇⠀⠀⠀⠀⠀⣿⠀⢰⡟⠐⢃⡞⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢅⡹⡈⠿⡀⢹⡇⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀⢹⠉⣀⠏⡽⢁⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠐⡜⠣⠬⠙⠦⢄⠀⠀⠀⠀⠀⠀⠀⢀⣠⠼⠛⠶⡟⠐⠃⣞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⠛⠛⠛⠛⣤⣍⡏⠁⠀⠀⣀⣀⠈⢻⡄⠀⠀⠀⠀⢠⠟⠁⣀⣄⠀⠀⠈⣿⣩⣤⠛⠛⠛⠻⣤⣀⠀⠀⠀ ⠀⣠⡔⠉⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠙⠛⠀⢨⣿⠀⠀⠀⠀⣞⡇⠀⠛⠃⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠹⢧⣀⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡟⠀⠀⠀⠀⢣⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣤⣤⣤⠀⠀⠀⣀⠀⣼⠇ ⠀⠻⢆⣴⣤⣤⣤⣯⣭⣵⣦⣤⣤⣼⣄⡸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣾⣧⣤⣴⣾⣿⣿⣿⣤⣤⣼⣤⡼⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀

⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⢀⣾⡿⠋⠉⠁⢠⣿⠏⢁⣿⣿⣿⠏⠉⢸⣿⡏⠉⢻⣿⣿⡇⠈⠙⢿⣿⣿⣿⣷⡆⠀⠀⢇⠢⣈⡒⡤ ⣿⣿⣿⣿⣿⣏⣴⡇⠀⠀⠀⢠⡿⠋⠀⠀⠀⣰⣿⠋⠀⣼⣿⣿⠏⠀⠀⡾⣿⠁⠀⠀⣿⣿⣷⠀⠀⠀⠹⣿⣿⣿⣿⣄⢀⣿⣷⣿⣶⣶ ⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢠⡟⠁⠀⠀⠀⢰⣿⠇⠀⢰⣿⣿⡷⠀⣀⣜⣁⣻⣀⣀⣀⣸⢻⣿⡇⠀⠀⠀⠘⣿⣿⣷⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⣠⣿⠀⠀⠀⠀⢠⣿⡏⠀⢀⣿⣿⡿⠛⣩⣿⠿⠛⢻⡏⠉⠉⢹⠉⢿⣿⡀⠀⠀⠀⠹⣿⣿⡆⠙⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠀⠀⣰⣿⡟⠀⠀⠀⢀⣾⣿⠀⠀⣸⣿⡿⢥⣶⠝⠁⠀⠀⠀⡇⠀⠀⡜⠰⡀⢻⡇⠀⠀⠀⠀⢿⣿⣿⠀⠸⣿⣿⣿⡿ ⣿⣿⢿⣿⣿⡃⠀⣼⣿⣿⡇⣀⣀⣤⣾⣿⡇⠀⠰⣼⡟⣠⠎⠁⠀⢀⣠⠔⠁⢹⣀⣠⣧⣶⣦⣤⣷⣤⣤⣠⣤⠼⣿⣿⡆⠀⢹⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣏⣁⣼⣿⣿⣿⠀⢠⣾⣟⡔⠁⠀⠀⠀⢸⠁⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣿⣿⣇⠀⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣟⣹⣿⣿⣿⡿⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⢰⣾⢟⣻⡿⠛⢻⢋⣻⣏⣱⠞⠙⣄⡀⠀⣿⡽⣿⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⢘⡅⠚⠋⠉⠁⠀⠀⠀⠀⣔⣾⢏⢦⢄⣿⣧⣿⡆⠀⠈⣿⣿ ⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⡿⢻⣿⣿⡿⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⢂⢻⣿⣿⣿⡇⠀⠀⢽⣿ ⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣷⣿⣿⣿⣿⡷⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⢀⣠⣾⣟⡖⢻⣿⣿⠃⠀⠀⣿⣿ ⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⠟⣻⠿⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠾⠿⠛⠉⠁⢰⢸⣿⡿⠀⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⠰⢟⣿⠌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⢠⡇⣿ ⣿⣿⣿⣿⣿⣿⣏⠓⠓⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⢾⣿⡟⠀⠀⠀⣼⠃⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⣰⠏⢰⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⢚⣡⣴⣾⣿⣿⣿⣿⡿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⣰⠏⣠⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⣃⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⣼⣿⣃⠤⠚⠚⠉⠉⠉⠙⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⢀⡄⠀⠀⠀⠀⠀⠀⠙⢽⣿⠿⠋⠉⠁⠀⢠⡆⢰⠃⠀⠀⠀⠀⠀⠀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢯⠀⠀⠀⠀⢀⡞⢠⠋⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣸⢠⠃⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡆⢠⠉⢿⣿⣿⡟⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⡇⠇⠀⠀⠀⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣼⠀⠈⢿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⡗⠤⣀⠀⠀⠀⠀⠀⠑⢄⣀⡞⠀⠀⠀⠀⢀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⠀⠀⠹⢇⠀⢻⣿⣿⣿⣿⣿⣿⣧⠀⠈⠻⣷⣦⣤⣀⡀⠀⠉⠀⠀⠀⣀⡴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠀⠀⠀⠈⠳⣄⢻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⠻⢿⣿⣿⣿⣷⣶⣴⣾⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣄⠀⠀⠀⠀⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠉⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢱⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⣚⣩⣭⣥⣶⣶⣶⣶⣶⣶⣶⣬⣭⣙⣛⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢰⣮⣧⡀⠀⠀⠀⠀⣀⠴⢚⣩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⢻⣿⣿⣿⣿⣿⣷⣮⣝⡳⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣦⣀⡴⢚⣵⣾⣿⣿⣿⣿⣿⢿⣟⣿⡽⣛⣭⡶⠿⢿⣿⣹⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣜⡻⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⡿⣿⣽⣾⣿⡿⣽⡾⠛⠉⠀⠀⣼⣟⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⠮⠿⠷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣹⣿⣿⢟⣼⣿⣿⣿⣿⢿⣷⣿⣿⣟⣿⡿⣿⣿⣦⣄⠀⠀⢠⣿⣽⣿⣿⣿⣿⣿⣿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡾⣛⢻⣾⣿⣿⡿⣿⣾⣿⣿⣽⣾⣿⣟⣿⣿⣻⣿⣿⣷⣀⣾⢿⣿⣿⡿⣿⣿⣿⣿⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣇⣿⣿⣟⣿⣿⣯⣷⣿⡿⣯⣷⣿⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣷⣝⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⣿⣹⣿⢿⣻⣷⣿⣿⣽⣿⡿⣿⡿⢛⣩⣤⣦⣭⡻⣷⣿⣿⣻⣿⢿⣷⡿⣿⣾⡿⣿⣿⣷⡝⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⣿⣿⣻⣿⣿⢿⣷⣿⣻⣷⡿⣣⣾⣿⠟⠛⠻⣿⣿⣿⣿⣽⣿⢿⣿⣻⣿⡿⣷⣿⣿⢿⣿⣿⣦⠳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠸⣿⣿⣿⣾⣿⣿⣽⣿⢯⣿⠟⠋⠀⠀⠀⠀⠘⣿⣿⣾⣿⣻⣿⣿⣟⣿⣿⢿⣯⣿⣿⢿⣿⣿⣧⠹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢹⣿⢿⣿⣿⣾⢟⣽⠟⠁⢀⡶⡀⠀⠀⠀⢰⣿⣿⣷⣿⢿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⡿⣿⣿⣇⢳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠈⡧⣾⡶⣿⡿⢭⣫⢵⠟⠁⠀⠀⣼⣿⡇⠀⠀⢠⣿⣿⣿⣾⣿⡿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⡈⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⢀⠞⠁⠈⢱⠀⠀⢳⡈⠻⢾⣷⠉⠒⠠⣀⠀⠀⠀⢿⣿⠀⢀⠴⠿⢿⣿⣯⣷⣿⣿⢿⣷⣿⣿⣷⡽⣿⢿⣿⣿⣿⣽⣿⣿⡇⣿⠀ ⠀⠀⠀⠀⠀⢠⠞⡁⠄⠀⠙⣆⠀⡰⠃⠀⠀⡀⡼⠀⠀⠀⠙⢤⡀⠀⠀⠀⠀⠀⠉⠀⠒⠚⠃⠈⢠⣶⠀⣼⣿⣿⣿⣿⣾⣿⣿⣽⣾⣿⣷⡝⣆⠈⠛⢿⣿⣿⣿⣗⣸⡀ ⠀⠀⠀⡠⠖⠾⡆⡀⠀⠀⠀⢸⠋⠀⠀⠀⣐⡤⠃⠀⠀⠀⠀⠀⠉⠲⢤⣀⠀⠀⠀⠀⠤⠄⠐⠒⣁⣤⣾⣿⣿⣿⣿⣷⣿⢿⣾⡿⣟⣿⣿⣿⠸⡆⠀⠀⠙⢿⣿⣷⢸⡇ ⠀⢀⠞⡀⠁⠐⣷⠰⠀⠀⠀⠀⡄⠀⢀⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠽⢿⡶⣶⣶⣾⣿⡟⢻⣻⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡇⢿⠀⠀⠀⠀⠹⣿⢼⡃ ⠀⢘⣆⠃⠀⠀⠘⣆⠆⠀⠀⠀⣇⠔⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢋⠀⠀⠀⠙⠶⣽⣿⣿⣧⣆⡴⠋⠓⡬⡛⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢸⡄⠀⠀⠀⠀⠈⠿⠀ ⡔⠁⠘⣄⠀⠀⠀⠘⡌⠄⠀⠀⣸⢠⠰⠧⡀⠀⠀⠀⢀⣠⣖⡫⣵⠣⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣄⠀⠈⠊⢢⡍⠻⢿⣿⣿⣷⣿⣿⣿⣿⢘⡇⠀⠀⠀⠀⠀⠀⠀ ⢧⠀⠀⠈⠂⡀⠀⠀⠈⠒⣤⠾⣡⢎⠂⢠⡗⠒⠒⠋⠅⠀⣹⣴⠇⠂⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡏⠀⢀⢠⠃⠀⠀⠉⢿⣿⣿⣽⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⢈⠷⣄⠀⠀⠈⠒⠤⡄⣴⣥⠶⠣⠟⢀⡞⡇⠀⠀⠀⣀⡴⠋⢹⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠿⣛⡟⠀⠀⣊⡞⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠸⡀⠀⠒⠀⠤⠤⣤⢳⣡⡏⠀⠀⢀⠾⠾⠖⠒⠚⠋⠁⠀⠀⢸⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣻⡇⠀⠻⢦⣀⣈⣼⡳⡄⠀⠀⠀⠀⠀⠈⢿⣿⡏⣾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠒⠦⠤⠤⠤⠞⠛⠶⠾⠒⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣀⣀⣤⣾⣿⣿⣿⢿⡟⣿⠋⢆⠀⠀⠈⠉⠉⢀⡇⠀⠀⠀⠀⠀⠀⠈⢻⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣿⣿⣿⣿⢿⣯⣿⢺⣤⣿⢦⡀⠀⠀⠰⠦⠉⢹⠦⡄⠀⠀⠀⠀⠀⠀⠀⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⣿⣿⣿⣾⣿⣿⣿⡟⣿⡿⢄⠈⠳⠦⣤⣀⡴⠋⣱⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣿⣿⣿⡍⢻⣿⣽⣿⣹⡇⠈⠠⠀⠀⠀⠉⢡⠊⢀⣹⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣿⣿⡇⠈⢿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⢣⠊⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⣿⣿⣿⠀⠸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣻⡇⠀⢹⣿⣾⣿⡇⠀⠀⠀⠀⠀⠐⠁⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⣿⣿⣿⡀⠈⣿⣿⣿⣿⣤⣀⠀⠀⠀⣀⡠⠤⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣿⣿⢿⣇⠀⢸⣿⣿⢿⣷⢻⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣹⣿⣿⣿⡦⠤⢿⣿⣿⣿⣧⢣⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢡⣜⣏⣿⣿⣽⣿⣦⡽⣿⣿⢿⣿⣎⢧⡌⠉⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠈⠉⠛⠛⠛⠉⡝⠁⣰⣹⣿⣿⣿⣿⣾⣿⡗⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠒⠤⣀⠀⠀⠀⡼⡆⡀⠙⠻⠿⠿⠿⠿⠟⠋⠀⠄⡼⠧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠴⢇⠀⠤⠐⠛⠂⠀⠑⡵⣤⢀⡀⠀⠀⠀⠀⠀⢀⣔⡉⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⣪⣑⣈⠀⠀⠈⠫⡒⠤⠤⠤⠤⣴⣶⡇⠀⠠⠵⠂⠀⠀⠀⠀⠈⠀⢐⣠⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣵⣾⡿⣟⣿⣻⣷⣦⣄⠀⠑⠢⡀⠀⠘⣿⣿⣦⣄⣀⣠⣤⣤⣤⠴⠒⠉⢁⣀⣈⡙⢿⡳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣻⢾⣽⣟⡷⣟⣾⡽⣯⣧⡀⠀⠘⣄⢂⢻⣿⣟⣿⣻⢯⣟⠟⠁⠉⠉⠉⠀⠀⠀⠀⠀⠉⠳⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⣽⣞⣯⣿⣳⣯⢿⣻⣽⣻⣽⣻⡇⠀⢠⣇⣎⢼⣿⣿⣳⣿⣻⡟⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⢿⣿⣦⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣯⣿⣽⢾⣻⡾⣽⢯⣿⣯⡷⠿⠷⣛⣷⣠⣃⣤⣴⣾⢯⡻⢷⣯⣿⠀⠀⠀⠀⠀⠀⢠⣾⣟⣯⣷⣟⡿⣾⡽⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡛⠦⢭⣉⣉⣉⡩⠭⠭⠤⠖⠒⠛⣉⣉⣭⡾⠿⠛⠛⠛⢦⣙⠧⣍⣿⢀⠀⠀⠀⠀⢀⣿⣟⣾⣻⢾⣽⣻⢷⣿⣳⣯⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⠤⠤⠴⠒⠒⠒⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢮⡙⠢⣈⠂⠄⠀⢸⣿⣞⣯⢿⣯⡷⣿⣻⣾⣽⣳⣯⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣉⠒⠄⣿⠛⠾⢿⣻⣾⣽⢷⣟⡾⣷⣻⢷⣻⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⣉⠓⠲⠤⣉⡙⠛⠚⠛⠛⢛⣫⡵⣋⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠤⠤⢭⣉⣉⣙⣩⡥⠶⠋⠀⠀⠀⠀⠀

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⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠀⠀⠀⣀⣀⠀⠀ ⠀⣾⠛⠛⠻⢶⣤⣤⣤⣤⣤⣴⠏⠀⠈⠻⣶⠞⠛⠉⠙⣷⠀ ⠀⣿⠀⠀⠀⠀⠈⠉⠀⠀⢠⡟⠀⢠⡖⣶⠿⢶⣄⣀⣤⣿⡄ ⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠸⣇⣀⣈⣻⡇⠀⠀⢹⣯⠀⠈⣿ ⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠳⢤⣴⡿⠾⠀⢀⢿ ⣺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⠿⣷ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⢀⡤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢄⠙⣠⠇⠀⠀⣠⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⠁⠀⠀⢰⠁⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠘⣆⢀⣀⠤⠖⠒⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡮⠁⠉⠁⠒⠤⢀⡼⠖⠀⠐⣗⠢⡀⢸⣏⡁⠀⠀⢀⡠⠥⠒⠲⠤⢄ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⣀⣈⣍⣈⡿⡘⠁⣹⡚⠁⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⣇⣠⡶⣍⣀⣠⠴⠛⠻⢇⣜⡁⠺⠽⠀⠀⠀⢠⡞⠁ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢷⡀⠀⠀⢀⡏⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡉⢳⡄⣸⠁⠀⠀ ⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠿⢻⡖⠒⠂ ⠈⠉⠸⡍⠈⠀⠀⠘⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣶⡄⠀⠀⠠⢸⠅⣀⠀ ⠀⠀⠔⢷⠈⠀⠀⠀⠘⠛⠁⠀⠀⠀⣤⢤⠀⠀⠀⠀⠸⠿⠁⠀⢀⣠⠟⠀⠀⠀ ⠀⠀⠀⣀⠷⢎⠁⠀⢀⡀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠈⠒⠀⠀ ⠀⠀⠀⠁⠀⠀⠉⡖⠀⠈⠑⡦⠤⠄⠄⠀⠤⠤⠤⡖⠉⠉⠹⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠒⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠙⠒⠲⠞⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣼⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣸⠻⢏⡉⠀⠛⠒⠋⠙⢲⡔⢛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠙⣆⣠⠟⠀⠀⠀⠀⠀⠈⠳⠾⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣅⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⢲⣿⠷⠀⠀⠀⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠃⠀⠀⢰⡤⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠷⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡤⠽⠶⠤⠧⠼⠦⠤⠤⠴⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣿⣖⠚⠚⠛⠓⠒⠒⠒⠒⣾⠞⠁⠀⠀⠀⠀⠀⠀⠀⠰⡞⠋⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⠈⠙⢲⡄⠀⠀⢀⡤⠖⠋⠁⠀⠀⣤⣤⡾⠃⠀⠀⠀⠀⠙⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠓⢶⠚⠁⠀⠀⠸⢤⣀⣀⣠⣤⡜⢷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠞⡇⠀⢀⣤⠀⠀⣀ ⣴⣄⣀⣿⠀⣀⠀⠀⣴⡄⠀⣸⡧⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠾⠓⠦⣼⣹⡶⢚⡿ ⣿⠞⠋⢹⡄⣿⣿⢾⣽⡷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣠⠟⠁ ⢸⡄⠀⠘⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⢄⣠⠞⠁⠀⠀ ⠀⢷⣤⣀⣿⣿⡿⢷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣖⣀⡀⠀⣒⣒⣫⠤⠴⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣦⣀⣠⡤⠤⠴⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣟⠻⡿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣻⠿⢮⡿⣾⡖⠚⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣄⠒⢦⠸⣿⣄⠙⣧⠀⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣛⣷⣞⠳⣄⠘⡆⠙⢇⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣯⡝⠻⣿⣏⠉⠻⣮⣷⣝⣶⣼⡀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣇⠈⠙⢤⠈⢳⡀⠀⠹⣌⢻⠀⠙⣧⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠋⠳⢤⣄⡑⠀⠹⡄⠀⣌⠀⢳⡀⠸⡆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣄⠀⠂⢻⡉⠑⣦⠹⡄⠸⡄⠀⢷⡄⡇⠀⠀⡇⠀⠀⠀⠀⣀⠤⠒⠋⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣶⣤⣝⠀⠀⠀⢿⡶⢧⠀⠸⡇⡗⠀⢀⠃⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣀⡀⠙⢻⣷⣦⡀⠈⠋⠈⢧⠀⠀⡇⠀⠈⠀⠔⠋⠀⠀⢀⣀⣤⣤⣤⡶⢶⣿⠿⠭⢥⢽⣁⣤⠀⠒⠿⠿⣿⣷⣆ ⠀⢀⡠⠚⠉⠉⠀⠀⠀⠀⠀⠙⢿⣿⣶⣤⣤⡘⣆⣼⣃⣴⣦⠀⠀⣀⡴⠞⣛⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⣿⣛⣖⠲⠦⣄⣸⡿ ⢠⠾⠒⠶⠀⠀⠀⠀⠀⡀⠀⡙⢺⣏⠛⢿⣿⣿⣿⣿⣿⣿⣿⣶⠞⡩⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠤⣍⣙⣓⠶⣴⣶⠟⠁ ⡾⠀⠂⠀⠀⠀⠀⠀⠈⠑⠉⢡⣿⣿⠛⠲⣤⣯⣿⣿⣿⣿⣿⣥⡞⠒⠒⠚⠛⠓⠠⣀⠀⠀⠀⠠⠄⠀⠠⣤⣷⣌⢙⣿⣦⡾⠋⠀⠀ ⡗⠺⠤⠛⠉⠉⠁⠐⠉⠉⣹⣿⢿⢃⣠⣾⢋⣾⣿⣿⣿⣟⠻⠏⡿⣗⣦⡀⠀⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠈⠙⠿⣿⣿⠟⠀⠀⠀⠀ ⣇⣠⠤⠀⠀⠀⠀⢀⣴⡾⢛⡽⢋⣽⣟⣵⢫⣿⣿⣯⡏⢣⠀⠄⠀⠈⠉⢙⣻⠖⢦⣄⡀⠀⠤⢙⠶⣤⡀⠈⢳⣰⡟⠁⠀⠀⠀⠀⠀ ⢿⠀⠀⠀⢀⡴⢪⠟⢩⠖⠋⢠⡾⢻⡟⢁⣿⣿⣿⡟⡀⠘⠀⣴⠀⣤⡐⠂⠈⠉⢗⣟⠿⣶⣤⡀⠲⣤⣹⣿⠞⠉⠀⠀⠀⠀⠀⠀⠀ ⠘⣧⠀⠀⠈⠀⠀⠀⠀⡀⣠⠏⣴⠏⠀⢸⣿⠟⠻⢀⠆⠀⢀⠈⢳⡸⡗⢤⡀⠉⠪⠙⢧⡀⠉⠙⠓⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠀⠀⢀⡴⢂⣜⡥⠚⠁⠀⠀⠀⠁⢠⡆⢸⣰⠀⠈⣧⠀⠑⢿⠀⠙⢦⠀⠀⡀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣤⣖⣋⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⢹⠆⠀⢸⡄⠀⠈⢷⡀⠀⠑⢦⡜⢦⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⣼⣾⠀⠈⢀⢳⡀⢠⡈⢻⣦⡀⠀⠙⢮⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡿⡼⠀⠄⠈⠈⣇⠀⠹⣌⠹⣿⣄⠳⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⢻⠀⠀⠀⠀⠙⠂⠀⠹⡁⡈⡻⣦⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣸⡄⠀⠀⠀⠀⠀⢰⣄⣃⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⢀⡾⠁⢠⠖⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣁⠀⣾⠃⠀⠨⠄⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠉⠁⠀⠉⠳⡀⠀⢀⣀⣀⣀⣀⣀⡀ ⠀⠀⠀⠀⠀⢠⠮⣉⡿⠀⠀⠀⠀⠀⠀⣽⠟⣋⠥⠒⠛⢶⣤⡽ ⠀⠀⠀⠀⠀⠸⡂⢰⣰⡂⠀⠀⠀⠀⠀⠀⢙⣧⣦⣔⡾⠟⠋⠀ ⠀⣀⡐⢢⠀⠀⠘⡬⠒⠂⡄⢿⡿⠀⠀⢀⡽⠃⠀⠀⠀⠀⠀⠀ ⠘⢦⣁⢸⠀⠀⢠⠞⠀⣄⣙⣒⣀⣤⡴⣿⡁⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠘⣻⣧⠀⢰⠃⠼⢄⠀⠀ ⠀⠀⠀⠀⠀⢀⡷⠠⠞⠃⠀⠀⠀⠐⠒⠦⢿⡀⠑⠒⠂⠋⠀⠀ ⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢹⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⢾⠟⠉⢷⡀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⢸⡵⢀⣟⣸⣇⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠓⠒⠒⠒⠚⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀

shadow the hegdehog is my faveortie charxcter evr ijm witerlay his biggest fan ever i have the bigesf fixation on hum anytim i see black and red i start gouing jnsane and claw at wals ❤️

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠂⠉⠉⠉⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⡝⡯⣝⡳⢶⡮⣤⣄⠀⠈⣀⢀⡀⠀⡀⢜⢦⡄⣀⡤⡴⣖⡻⣭⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣞⡳⢭⢞⡯⣝⣧⢏⡗⣶⣡⠋⣵⠛⣥⢃⡾⣏⢷⣩⠗⣭⠞⣭⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠾⠯⠵⢮⡽⣗⣻⢳⡽⣮⣝⣮⣵⣚⣿⡷⠯⢼⣯⣗⡿⠮⣼⢿⣌⡿⢼⡗⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⣇⡿⠤⠛⠛⠀⠀⠀⠘⠛⠛⠛⠛⣿⣤⡀⠀⠀⠀⠣⡀⠘⠻⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣟⡿⣟⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣽⣻⢷⣄⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⢴⣿⢿⣽⢾⣻⣽⣾⣽⣻⣄⠀⠀⠀⠀⠀⠀⠀⣸⡿⣾⣽⣻⣟⣷⣄⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⡤⠔⠒⠈⣴⣿⢯⡿⣞⣿⣽⣳⣟⣾⣽⣻⣦⠀⠀⠀⠀⠀⢀⣿⣟⡷⣯⡷⣟⣾⣻⢷⡄⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠢⠤⣼⡿⣽⣯⣟⡿⣞⡷⣟⣾⡽⣾⣳⢿⣧⠀⠀⠀⠀⣼⡿⣞⣿⣳⢿⣯⢷⣟⣯⣿⣆⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⡽⣷⣻⣞⣿⣽⣻⢯⣷⣟⣯⣟⡿⣾⣧⠀⠀⣰⣿⢿⣽⣳⢿⣻⢾⣯⣟⣾⣳⢿⣆⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣿⣳⢿⣽⣳⢿⣞⣷⣻⣯⣷⣻⡾⣽⣻⢷⣻⡆⣰⣿⢯⡿⣞⣯⡿⣯⢿⡾⣽⣳⢿⣯⣟⣾⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⢾⡽⣟⣾⢯⣿⢾⣽⣳⡿⣞⣷⣟⣯⣟⣯⣟⣿⣻⣽⣯⣿⣯⣷⣿⣽⣯⣿⣽⣯⣿⣾⣽⣳⣯⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⢯⣟⣯⣟⡿⣞⣯⣿⣯⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡿⣯⣟⡷⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⣾⣿⣳⣟⡿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣰⣿⣿⣿⣻⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⣿⣷⣻⢾⣻⣽⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣁⣴⣿⣿⡿⣞⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⡑⢛⡿⣽⠏⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⡽⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠠⠤⠄⣹⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢸⠌⠉⠡⡎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣧⠀⠀⠀⠈⡆⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⡇⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⡄⢱⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⣧⢀⢱⡀⢇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡇⢱⠀⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠋⠉⠉⠉⢹⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢿⡈⠆⡱⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢄⣢⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⣸⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡆⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⢀⣾⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡧⠀⠀⠘⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

.·´¯`·.  ·´¯·. __|__ | |__ ╲  ╲ ╲ |ロ | ╲╲       /\~/\ |ロ |     ╲ ╲(     •ω • ) |ロ |         ╲⊂          づ |ロ |               ╲ ╲ ⊃⊃╲ |ロ |___              ╲| ___ ╲|____

⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣁⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠝⠉⠉⠛⠷⣦⣤⣶⣶⣶⣶⡾⠃⠀⠈⢻⡾⠛⠉⠉⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣼⠁⠀⣾⢻⡶⠛⠲⣄⣤⠼⢧⣄⠀⠀⠀ ⠀⠀⠀⠀⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⢙⣿⡀⠀⠀⣹⢶⡄⠀⣹⡀⠀⠀ ⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠒⢺⡛⠛⠁⣰⠏⠀⠀⠀ ⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠚⢹⡇⠀⠀⠀ ⢠⡶⢼⣷⢤⠄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⣀⠀⠀⠀⠤⠾⣿⠖⠶⠆ ⠀⠀⢈⣿⣀⡀⠀⠀⢿⡿⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠸⣿⠇⠀⠀⠠⣴⣿⣄⣀⠀ ⠀⠘⠋⠹⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠯⣦⠽⠀⠀⠀⠀⠀⠀⠀⢀⣀⣾⠃⠀⠀⠀ ⠀⠀⣠⡴⠟⠻⣧⡶⠳⣦⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡟⠋⠛⠶⠄⠀ ⠀⠀⠁⠀⢀⡾⠛⠂⣀⡈⠀⢹⣧⣤⣄⣀⣀⣠⣤⣤⣴⣶⣾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣷⣤⠄⠛⠃⠈⢿⢹⣄⠀⠀⠀⢠⡿⠀⠈⢷⡉⣻⣦⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠏⢿⣤⣴⡷⣶⡟⠀⠙⠳⠶⠶⠛⠁⠀⠀⠈⣿⡋⠀⠈⣿⠆⠀⠀⠀ ⠀⠀⠀⠀⢻⣆⠀⠀⢸⣿⣜⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⣽⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⣶⠞⠃⠙⠶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡿⠶⢶⣤⣤⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⡶⢾⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⣀⣀⣀⣀⣠⣿⣀⣀⣀⣀⣀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⠤⠤⠦⣠⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢄⠀⠀⠀ ⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀ ⠀⠸⠀⠀⠀⣠⡤⣤⣄⠀⠀⠀⢀⣴⢶⣦⡄⠀⠀⢳⡀ ⠀⠀⠀⠀⠐⣿⣴⣿⣿⡇⠀⠀⢿⣷⣾⣿⡷⠀⠀⢸⠀ ⢰⣇⠀⠀⠀⠙⠛⣿⠛⠁⠀⠀⠈⠛⠛⠋⠁⠀⠀⣸⠀ ⠀⠙⣆⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⣰⠟⠀ ⠀⠀⠈⠑⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣊⣁⡀⠀ ⠀⠀⠀⠀⠀⠈⠓⡶⠒⠒⠒⠛⠉⠉⠁⠀⠀⠀⠀⠈⢇ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⣿⠀⠀⢰⠉⢹⣳⠀⠀⡸ ⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⡟⡆⠀⢸⣄⣜⢘⣄⣠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠶⠚⠀⠘⠶⠃⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡤⣄⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢆⠙⣡⠏⠀⠀⣠⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⠁⠀⠀⢰⠁⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠘⣆⢀⣀⠤⠖⠒⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡮⠁⠉⠁⠒⠤⢀⡼⠖⠀⠐⣗⠢⡀⢸⣏⡁⠀⠀⢀⡠⠥⠒⠲⠤⢄ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⣀⣈⣍⣈⡿⡘⠁⣹⡚⠁⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⣇⣠⡶⣍⣀⣠⠴⠛⠻⢇⣜⡁⠺⠽⠀⠀⠀⢠⡞⠁ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢷⡀⠀⠀⢀⡏⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡉⢳⡄⣸⠁⠀⠀ ⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠿⢻⡖⠒⠂ ⠈⠉⠸⡍⠈⠀⠀⠘⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣶⡄⠀⠀⠠⢸⠅⣀⠀ ⠀⠀⠔⢷⠈⠀⠀⠀⠘⠛⠁⠀⠀⠀⣤⢤⠀⠀⠀⠀⠸⠿⠁⠀⢀⣠⠟⠀⠀⠀ ⠀⠀⠀⣀⠷⢎⠁⠀⢀⡀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠈⠒⠀⠀ ⠀⠀⠀⠁⠀⠀⠉⡖⠀⠈⠑⡦⠤⠄⠄⠀⠤⠤⠤⡖⠉⠉⠹⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠒⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠙⠒⠲⠞⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢰⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠲⣄⠀ ⠀⠀⣠⡟⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠁⠀⠀⢽⡄ ⠀⠀⡿⠀⠀⠀⠀⠀⠉⠷⣄⣀⣤⠤⠤⠤⠤⢤⣷⡀⠙⢷⡄⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠈⡇ ⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠈⠁⠀⠀⠹⣦⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⡗ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠂ ⠀⢿⠀⠀⠀⠀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⣸⠇⠀ ⠀⠘⣇⠀⠀⠀⠀⠉⠉⠛⠛⢿⣶⣦⠀⠀⠀⠀⠀⠀⢴⣾⣟⣛⡋⠋⠉⠉⠁⠀⠀⠀⠀⣴⠏⠀⠀ ⢀⣀⠙⢷⡄⠀⠀⣀⣤⣶⣾⠿⠋⠁⠀⢴⠶⠶⠄⠀⠀⠉⠙⠻⠿⣿⣷⣶⡄⠀⠀⡴⠾⠛⠛⣹⠇ ⢸⡍⠉⠉⠉⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣬⠷⣆⣠⡤⠄⢀⣤⠞⠁⠀ ⠈⠻⣆⡀⠶⢻⣇⡴⠖⠀⠀⠀⣴⡀⣀⡴⠚⠳⠦⣤⣤⠾⠀⠀⠀⠀⠀⠘⠟⠋⠀⠀⠀⢻⣄⠀⠀ ⠀⠀⣼⠃⠀⠀⠉⠁⠀⠀⠀⠀⠈⠉⢻⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀ ⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⡿⠧⠿⠿⠟⠀⠀ ⠀⣾⡴⠖⠛⠳⢦⣿⣶⣄⣀⠀⠀⠀⠀⠘⢷⣀⠀⣸⠃⠀⠀⠀⣀⣀⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠈⠻⠦⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⢲⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀

⠀⣠⠴⠚⡙⠙⠲⣤⣠⠖⢋⡛⠙⠲⣄⠀⠀ ⣴⠃⣰⠟⠉⠙⢦⡈⢁⣾⡟⠉⠳⣆⠸⣇⠀ ⣿⠀⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿⠄⣿⠄ ⠸⡄⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⡏⠀ ⠀⠙⣆⠙⢧⡀⠀⠀⠀⠀⢀⡴⠃⣰⠏⠀⠀ ⠀⠀⠈⠳⣄⠙⠶⣄⣀⠴⠋⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⢦⡈⢡⣰⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀ ⣴⣾⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡄ ⢿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⡿⠋⠀ ⠀⠈⣿⣿⡿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⡿⣟⣿⣿⠁⠀⠀ ⠀⠀⣿⣿⡿⣽⣯⢿⡿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⢿⣻⣽⣟⣯⣿⣿⠀⠀⠀ ⠀⠀⢹⣿⣿⣳⢿⣯⣟⣷⣟⣿⣻⣿⣿⠀⢀⣀⣀⣠⣄⣀⣀⣀⡀⣸⣿⣿⢿⣽⡾⣟⣯⣷⢯⣟⣿⡇⠀⠀⠀ ⠀⠀⢸⣿⣿⡽⣟⣾⣽⣾⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⢿⣽⡾⣟⣿⣿⡇⠀⠀⠀ ⠀⠀⠘⣿⣿⡽⣿⡽⣾⣷⣿⣿⡿⣟⡿⣽⣯⠷⠛⠉⠛⠙⢾⣷⣻⣽⣟⣿⣿⣿⣿⣿⡾⣽⣟⣾⣿⠁⠀⠀⠀ ⠀⠀⠀⣿⣿⣻⢷⣿⣿⣿⢿⣽⣻⢯⣿⢿⠋⠀⠀⠀⠀⠀⠀⠹⣿⣳⢿⣞⡷⣿⣻⣿⣿⣟⣾⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣿⣿⣿⡿⣯⣿⣞⡿⣯⣟⣿⡄⢿⠇⠀⠀⠸⡿⢰⣿⣻⣯⢿⣽⡷⣟⡿⣿⣿⡟⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⡽⣷⣻⢾⣻⣽⣯⣿⣿⣶⣄⣰⢰⣀⣶⣿⣿⣷⣿⣯⣷⢿⣻⣽⢿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡷⣟⣿⣽⡿⠟⠋⠉⠉⠛⠿⢿⣿⣿⣿⠿⠛⠉⠉⠉⠻⢿⣿⣯⣟⣯⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⣿⣿⣟⣿⣿⠋⠀⣄⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⣠⠈⠻⣿⣾⢯⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣯⣿⠃⠀⠀⣿⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⣿⣟⠀⠀⢹⣿⣟⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⢿⣿⣿⠇⠀⠀⠀⣀⣀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢸⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⠀⠀⠀⠉⠁⠀⠀⠀⢈⠳⠞⣁⠀⠀⠀⠉⠉⠀⠀⢀⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣦⣄⣀⡀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⣀⣠⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠶⠶⠶⠶⠶⠶⠾⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠋⠁⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⠶⠶⠶⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠶⠶⠶⢤⣄⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧ ⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿ ⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀ ⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⣄⠀⠀⠀⣀⣠⠴⠛⠉⠉⠓⠦⣄⣀⠀⠀⠀⣠⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢠⠬⣉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⣦⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⣧⠸⡀⠀⣹⡦⠹⠄⠀⠀⠀⠀⠀⠀⣠⠴⣛⠭⠖⢲⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⢻⡄⠷⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠳⣄⢀⡞⡼⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⢛⣴⠁⢸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣧⠀⢰⠋⠙⠲⡄⠀⠀⠀⠀⠀⢀⡴⠋⠉⣧⠈⣽⡀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣤⠴⢲⠖⠚⣆⢸⡀⠀⠀⣿⣦⣀⣴⣄⣴⣿⡆⠀⠀⡼⣰⠃⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⢠⠏⠀⠀⢼⠉⠙⠦⣄⣻⣟⣡⠶⣄⣻⣟⣡⠴⠾⡷⠃⠀⡟⢳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠘⣦⠀⠀⢄⠀⠀⠹⠶⠃⠀⠀⠀⠀⣠⠇⠀⢠⠇⠀⢙⡟⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣀⣠⠤⠞⠓⢦⣀⠙⠲⠤⠤⠄⠀⢀⣠⠞⠁⠀⠀⣼⣀⣠⠞⠁⠀⠈⢳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠁⠀⠀⡀⠀⠀⠀⠉⣹⠶⠒⠒⠋⡿⠻⣶⢦⡀⡴⢻⡏⠀⠀⠀⠀⠀⡲⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⣴⡞⠉⠀⠀⡴⠋⠀⠀⠀⠀⣰⠇⠀⠘⡆⠛⠁⠀⡇⠀⡏⠉⠳⣄⠙⢿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠹⡄⠀⠀⢸⠁⠀⣀⣠⠤⠚⡟⠀⠀⠀⡇⠀⠀⠀⣧⣠⡇⠀⠀⠛⠳⣄⣿ ⠀⠀⠀⠀⠀⣠⠶⠒⠺⣇⣀⠤⠷⢤⣀⡼⠚⠋⠁⠀⠀⢰⠃⠀⠀⢰⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⢁⣠⣤⣴⠋⠀⠀⠀⠀⢯⠀⠀⠀⠀⠀⢠⠿⠒⠒⠒⠚⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣰⠋⣰⠋⢹⣤⠔⠚⠉⠉⠻⣆⠀⠀⠀⠀⢸⡆⠀⠀⠀⢀⣘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⡏⠘⡇⠀⡇⠀⠀⣧⠀⠀⢀⠀⢀⡈⢧⣄⠀⠀⣸⠷⠤⣶⠛⣩⠞⠋⠉⠉⠓⠢⣄⠀⠀⠀⠀⠀⠀ ⣼⠁⢧⡀⢳⣀⢻⣤⠞⢉⡴⠀⣸⢷⡈⢷⣄⠹⣗⣦⣏⠀⣸⠁⣰⡃⠀⠀⢀⣀⣀⣀⣈⣧⠀⠀⠀⠀⠀ ⢿⡀⠈⠳⣴⠋⠉⠙⠛⠉⠷⠴⠃⠀⠓⠾⠏⠉⠉⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⢒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

ㅤ⠀⠀⠀⠀ ⠀⢀⣤⣄ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆ ⣠⣶⣿⣶⡀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠋ ⠀⠀⠀⠀⣾⣿⣿⣧⠀⠻⣿⣿⠿⠉ ⣰⣿⣿⣿⣿⣿⣿⣿ ⠸⣿⣿⣿⣿⣿⣿⠏ ⠀⠈⠛⠿⣿⣿⡟

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

⠉⠉⢩⣍⣿⣿⣿⣿⣿⣿⡯⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣿⣿⣿⡿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠈⢹⣿⣿⣿⣿⣿⡿⢉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡤⠦⠷⣆⣄⠀⠀⢹⣿⣿⣿⡯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⠏⣠⠒⣀⣴⣠⣀⣀⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠠⠼⢟⣻⠯⠥⠤⣄⣀⠀⠙⠂⠀⠘⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⣀⠠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣷⣿⣿⣿⡷⢊⣿⣿⣿⣟⣟⣿⣿⣿⣿⣟⠳⣦⠀⠀⠀⠀⠀⠀⡰⡻⢿⡿⢿⠶⢶⡭⠂⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠛⣤⡁⣾⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣸⣿⣿⣿⣿⡗⣩⡿⢳⠵⣿⣿⡛⠿⠟⠋⠻⠇⠑⠃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠁⠀⠀⠉⠀⠀⠀⠀⠀⣿⠋⠂⠀⠀⠀⠀⠀⠀⠀⢸⢘⠙⢿⣽⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⡟⣿⣾⣿⡏⡆⠁⠈⠁⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠆⠀⠁⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀ ⢀⠀⢠⠇⣲⣯⢸⣧⣿⣿⣤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡿⠿⠻⠙⠟⠒⠒⠊⠐⠉⠀ ⡿⡿⠋⢰⣾⣷⣎⢿⣗⠻⣗⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣅⣠⠆⠀⠀⢀⡠⠔⠚⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣵⣾⣾⣿⣿⣿⣧⣿⣍⣿⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⢀⣴⣿⣷⣻⣴⣃⢦⡐⢤⡀⡄⡀⢀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡵⡀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣾⣿⣄⣀⣶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣍⣤⣶⣿⣿⣿⣿⣿⣷⣿⣯⣿⢧⣟⡶⣝⣦⡝⣬⡓⣜⡰⢆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠤⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⢿⡻⠗⢯⠓⢯⠚⣋⠞⡹⢛⠮⢻⢳⡻⢽⣫⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠌⠐⠀⠀⠀⠀⢀⣤⣀⣀⣀⣄⣀⣀⣠⣤⣤⠤⡤⠖⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⢏⠞⠁⠒⠈⠐⠈⠀⠉⠀⠁⠈⠀⠊⠈⠑⠌⠩⠚ ⠙⠋⠟⡛⠿⢻⣿⣿⣿⣿⣿⣿⣇⠄⠀⠈⢀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠐⢻⣿⣿⣿⣿⣿⣎⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⡎⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣿⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⣡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢳⢉⠵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡟⢦⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⠀⠀⢀⣾⣿⡏⢿⣿⠿⡩⢟⣿⣿⣿⣿⣿⣶⣦⣦⣴⡶⣴⠶⣶⣾⣿⣿⡿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣧⠀⠀⠀⠀⠀⣿⣿⣿⡄⠹⡏⠀⠁⠀⠘⠛⣿⣿⣿⣿⣿⣿⣷⣿⣽⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡆⠀⠀⠀⠀⠉⠫⠙⠇⠀⠣⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⢡⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣟⣿⣿⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣌⣹⣿⣿⣯⣭⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

.        /\  /\       =( ´ •⁠ω• ⁠)=        / ͡      ︵\      (⁠人_____づ_づ

⠐⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡆ ⠀⠹⣟⠋⠙⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠋⢛⡿⠁ ⠀⠀⣌⢫⠉⠸⡝⢿⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⣻⠇⠞⠉⣹⢋⡄⠀ ⠀⢠⢸⣾⡵⢶⣦⣀⠳⣄⢾⡓⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⣿⢀⡜⠁⣴⣶⢮⣿⡟⠀⠀ ⠀⠀⢣⡙⠛⠀⠘⠿⠑⢮⣿⣷⡙⢆⠶⡄⠀⠀⢀⡴⢦⠎⣹⡷⣿⡼⠙⠏⠀⠚⢛⡵⠇⠀ ⠀⠀⠀⠹⠖⣦⡶⡄⠀⠀⠈⠓⣻⣌⢇⢸⠀⠀⡞⢰⣋⣞⠛⠋⠀⠀⢀⡴⣦⠖⠟⠁⠀⠀ ⠀⠀⠀⠀⣤⡿⢷⣾⣦⡄⠀⠰⣟⣙⣿⣆⢧⢠⢧⣿⣟⣹⡶⠀⢠⣴⢟⡾⣿⣥⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣶⣶⢨⠉⠛⢟⣀⡴⠞⡦⠅⢸⣿⠈⢬⠛⠧⣄⣘⠛⠉⠉⢰⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣯⡴⢤⣢⠏⣡⣤⢾⡇⡀⠈⣏⢠⡘⢗⢦⣄⡉⣶⣦⣼⣨⡏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠀⢰⣿⡟⢡⡿⡾⣯⠈⠿⠈⡿⡼⣆⠙⣿⣦⠀⠈⠁⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⡾⢻⣷⡟⣹⢿⠇⠀⠀⠀⢏⢧⢹⣷⣿⢿⣄⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢱⡟⠉⠀⠀⠀⠀⠘⠹⣧⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡤⡿⠁⠀⠀⠀⠀⠀⠀⠀⠹⡦⣺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀

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

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⣠⣶⣶⣄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⣀⣶⣿⣿⣿⣿⣿⣆⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⢀⣤⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⢀⣠⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠉⠙⠛⠛⠻⢿⣿⡿⠟⠁⠀⣀⣴⣿⣿⣿⣿⣿⠟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣉⣡⠀⣠⣴⣶⣶⣦⠄⣀⡀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⢃⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣾⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣾⡟⢡⣾⣿⣿⣿⡿⢋⣴⣿⡿⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⢡⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⡟⣰⣿⣿⣿⣿⠏⣰⣿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢚⣛⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⠟⢰⣿⣿⣿⣿⠃⣾⣿⣿⠏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⠃⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢉⣴⣿⣿⣿⣿⡇⠘⣿⣿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⠁⢀⣀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌ ⣿⣿⣿⣿⣿⣿⡿⠁⣀⣤⡀⠀⠈⠻⢿⠀⣼⣿⣷⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⠛⠙⠃⠀⣿⣿⣿⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⠟⠁⢀⣴⣶⣶⣾⣿⣿⣿⣿⣶⡐⢦⣄⠀⠀⠈⠛⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣼⡿⢛⣩⣴⣶⣶⣶⣶⣶⣶⣭⣙⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿ ⠁⠀⣴⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣦⡙⠻⣶⣄⡀⠀⠈⠙⢿⣿⣷⣦⣤⣤⣴⣿⡏⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⠋⣠⠔⠀⠀⠻⣿⣿⣿⣿⢉⡳⢦⣉⠛⢷⣤⣀⠀⠈⠙⠿⣿⣿⣿⣿⢸⣿⡄⠻⣿⣿⠟⡈⣿⣿⣿⣿⣿⢉⣿⣧⢹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⡇⠠⡇⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣷⣤⣙⠢⢌⡛⠷⣤⣄⠀⠈⠙⠿⣿⣿⣿⣿⣷⣦⣴⣾⣿⣤⣙⣛⣛⣥⣾⣿⣿⡌⣿⣿⣿⣷⣤⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣷⡀⠡⠀⠀⠀⣰⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣦⣌⡓⠤⣙⣿⣦⡄⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣶⣤⣴⣾⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⠀⣶⡄⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⠟⠻⣿⣿⡏⣉⣭⣭⡘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⡇⢠⡀⠈⠙⠋⠉⠉⠉⠉⠛⠫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⠛⣿⣿⣀⣀⣾⡿⢀⣿⣿⣿⢻⣷⣦⢈⡙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⡇⢸⣿⠀⣦⠀⠀⠶⣶⣦⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣦⣈⡛⠿⠟⣋⣤⣾⣿⣿⣿⣸⣿⣿⢸⡇⢰⡆⢈⡙⠻⢿⣿⣿⣿⠀⢿⡇⢸⡇⢸⣿⢠⣿⡇⣿⡆⢈⡙⠻⠧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣝⠛⢿⣿⣿⣿⣿⣿⣿⠟⣁⠀⠀⢈⠛⠿⢸⣇⢸⡇⢸⡇⣶⣦⣌⡙⠻⢄⡀⠁⠘⠇⠘⣿⢸⣿⡇⣿⡇⢸⡛⠷⣦⣄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡆⠀⠈⠳⢶⣤⣍⡉⠉⣩⣤⣤⡉⠻⢶⣤⣀⠂⠀⠉⠘⠇⢸⡇⣿⣿⣿⣿⣷⣦⣍⡑⠢⣄⠀⠈⠈⠻⠇⣿⡇⢸⣿⣷⣾⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣦⣄⡀⠈⠉⠛⠶⢄⡉⠻⠿⣷⣦⣌⡙⠷⢶⣄⡀⠀⠈⠁⠙⢿⣿⣿⣿⣿⣿⣿⣷⣦⣍⡒⠤⣀⠀⠈⠃⢸⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠈⠉⠂⠄⢙⣿⣿⣷⣦⣈⠙⠳⢦⣄⡀⠠⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⡐⠄⢸⣿⣿⣿⣿⣿⡇⠀⣿⠿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⡿⢰⣦⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠉⠛⠛⠛⠿⠷⣤⣈⠛⠷⢤⣈⡂⢄⡉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⡛⠿⣿⣿⡇⠀⢿⣷⣌⡛⠿⠿⠏⣼⣷⣤⣉⣉⣀⣼⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⢀⣤⣶⣦⣤⣤⣄⡈⠙⠻⠖⠀⣉⣩⣤⣤⣤⣤⣤⣤⣀⡈⠉⠙⠻⣿⣿⣿⣿⣶⡄⠉⠀⠀⣸⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⣿⣿⣿⣿⣿⠟⣩⣽⣿⣿⣿⣷⣦⣀⠀⠙⢻⣿⣿⠇⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠏⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠉⠻⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⡿⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣦⡀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢀⣙⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣛⣻⣦⢀⣀⣙⣛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠶⠶⣒⣛⡚⠛⠛⠛⠋⠛⠛⠒⠚⠒⠒⠒⠒⠦⠤⢤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢠⠞⠉⣴⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣄⠓⠤⠬⠥⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠀⠤⣄⣀⠀⠀⠀⠀ ⠀⠀⢀⣀⣠⣴⡇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠀⠀⣽⠓⠒⠒⠖⡒⠉⠉⠀⠠⣀⠀⠀⠘⡎⠉⠲⣄⠀ ⢠⠞⠋⠉⢉⣉⡁⠀⠀⠀⠉⢲⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⡏⠀⠦⡀⠀⢨⠑⠢⣄⠀⠀⠉⠓⠢⢼⣀⣠⣤⠇ ⠈⠙⠛⠋⠉⠉⠉⠓⠒⠒⢲⠟⣠⠾⡆⠀⡾⠒⠒⠛⠛⠒⠒⠛⢦⣀⢀⡮⡟⠉⠙⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠋⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠃⠠⠷⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⡿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⡟⠀⠀⢸⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀ ⣹⣿⣿⡃⠀⠀⠀⠙⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⠻⠿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠃⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⠿⠀⠀⠿⣿⣿⣷⠀⠀⠀⠀⠀ ⣼⣿⣥⠀⠀⠀⠀⠀⢸⣿⣧⡄⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠈⣿⣿⣶⣄⠀⠀⠀ ⢿⣿⣿⡇⠀⠀⠀⠀⠸⠿⣿⣿⠀⠀⠀⠀⢰⣿⣿⡟⠀⠀⠀⠀⠀⠈⠿⣿⣿⠀⠀⠀ ⢾⣿⣿⡆⠀⠀⠀⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⣿⣿⡇⣶⣦⡀⠀⠀⠀⠀⣿⣿⣶⡀⠀ ⠀⢾⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠰⣿⣿⡀⠿⣿⣧⣀⡀⠀⠀⠙⢻⣿⣇⡀ ⠀⢻⣿⣟⣀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣷⣄⠀⣀⣼⣿⣿⡇ ⠀⠘⠛⣿⣟⡀⠀⠀⠀⠀⢸⣿⡃⠀⠀⠀⠀⣿⣟⠁⠀⠀⠉⣿⣿⣿⣧⣽⣿⡿⠃⠀ ⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢠⣿⣿⠀⠀⠀⢰⣿⣿⠿⢿⡿⠛⠃⠀⠀ ⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠘⠛⠛⠁⠀⠀⠈⠛⠉⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠲⠶⣤⣀⣠⣤⣤⣤⡿⠛⠿⡴⠾⠛⢻⡆⠀⠀⠀ ⠀⠀⠀⣼⠁⠀⠀⠀⠉⠁⠀⢀⣿⠐⡿⣿⠿⣶⣤⣤⣷⡀⠀⠀ ⠀⠀⠀⢹⡶⠀⠀⠀⠀⠀⠀⠈⢯⣡⣿⣿⣀⣸⣿⣦⢓⡟⠀⠀ ⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⣍⣭⣾⠁⠀⠀ ⠀⣀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣷⣤⡀ ⠈⠉⠹⣏⡁⠀⢸⣿⠀⠀⠀⢀⡀⠀⠀⠀⣿⠆⠀⢀⣸⣇⣀⠀ ⠀⠐⠋⢻⣅⣄⢀⣀⣀⡀⠀⠯⠽⠂⢀⣀⣀⡀⠀⣤⣿⠀⠉⠀ ⠀⠀⠴⠛⠙⣳⠋⠉⠉⠙⣆⠀⠀⢰⡟⠉⠈⠙⢷⠟⠉⠙⠂⠀ ⠀⠀⠀⠀⠀⢻⣄⣠⣤⣴⠟⠛⠛⠛⢧⣤⣤⣀⡾⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠉⢳⣰⠋⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀ ⡀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠙⠷⠋ ⣰⠟⠉⠙⢦⡀⢀⣾⡟⠉⠳⣆ ⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿ ⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠙⢧⡀⠀⠀⠀ ⠀⢀⡴⠃⠀ ⠀⠀⠀⠙⠶⣄⣀⠴⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⢁⣀⡀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠈⢿⣟⡇⠀⠀⣀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⢿⡿⣿⣿⣶⣤⣀⣄⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⡇⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣿⣧⡤⠄⣀⣀⣀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠄⠒⠋⠉⠉⠉⠉⠉⠉⠉⠑⠒⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⣑⡦⣄⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠴⠿⠷⠶⣶⣦⣤⣤⣀⡀⠀⠀⠀⢸⣿⡀⠉⠛⢽⢦⣀⠀⠀⠀⠀⠑⢄⣀⣀⣠⡤⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⣻⡿⠟⠒⠀⠀⢾⣙⣇⡠⠖⠋⠉⡉⠀⠀⠀⠀⠀⠈⠻⡏⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠈⠿⠏⠀⡠⠊⢉⣉⡉⠲⢄⠀⠀⠀⠀⢹⣄⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⡼⠋⠉⠙⢷⣌⣣⡀⠀⠀⠚⣡⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣸⠀⠀⣠⡀⠀⢻⣟⠓⠀⠀⢸⢿⠷⡞⠉⠒⢄⠀⠀⣀⡀⠀⠀⠀⠀ ⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⢿⠀⢀⣯⡽⠀⠀⢿⡄⠀⢸⣿⣸⠀⠈⢆⠀⠈⡷⠉⢁⣈⣑⣄⠀⠀ ⠀⡸⠀⠀⠀⠀⣀⣤⣶⣿⡿⠋⠀⠀⠀⠀⢀⣠⡬⢧⣸⣿⠃⠀⠀⠀⢣⣀⣾⣿⣏⡀⠀⢀⡇⠀⡇⡴⢉⣀⠤⠼⣧⠀ ⢀⠇⠀⠀⣠⣾⠿⠛⠉⡟⠀⠀⠀⠀⠀⢳⣼⡋⢶⢾⡉⠓⠤⡠⠤⠒⠊⠙⣿⣿⠿⠃⠀⣸⡇⠀⢉⣇⡼⢀⡠⠤⣼⡇ ⠘⠀⣠⡾⠋⠁⠀⠀⡼⠀⠀⠀⠀⠀⣴⣾⣿⣷⣌⡑⠛⠢⠄⠀⠀⢀⣀⡤⠚⠁⠀⠀⣰⡇⠹⣶⡏⠀⢹⡏⢀⣠⣼⠀ ⢸⡾⠋⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⣾⡿⠟⢛⣻⠿⠛⠋⡿⠓⢛⡽⠟⠣⣄⠀⠀⠀⠀⢿⠾⡄⠙⠳⠤⣤⡭⠿⠛⠁⠀ ⠀⠁⠀⠀⠀⠀⠀⢰⡇⠀⠀⣴⡿⠋⡴⠊⢁⡠⠴⠚⡏⠀⢀⡏⠀⠀⠀⠈⢏⠒⠢⠒⠉⢦⡀⠀⣰⡾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⣼⠋⠀⠀⢧⠀⠘⣿⢳⢤⣸⣦⡀⡇⠀⠀⠀⠀⢸⠓⠦⠤⠔⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢇⣸⠁⠀⠀⠀⣼⣷⣤⠎⠘⢒⡇⠈⠉⢻⡄⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠘⢺⣶⠆⣠⠞⠁⠀⠀⢸⠱⣤⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⣀⠀⢀⢠⣿⡾⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣷⡿⠿⡿⠛⡿⣹⠁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⣰⢁⠇⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢴⠁⢠⣿⣞⣀⣼⠷⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠸⣤⡯⠤⠟⠛⡦⠀⣀⠤⢶⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢷⡦⠀⠀⢠⡔⢯⠁⣀⣉⣉⡠⢿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠜⠓⠶⣤⣄⣀⣀⣼⡞⠛⡟⠉⠀⠀⢀⠔⠛⠓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣁⣀⡀⠀⠀⠀⠑⢄⠀⠀⢧⣼⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠉⠢⡀⠀⠀⠈⡆⢀⣾⣿⣀⣀⢸⡁⠀⠀⠀⠀⠀⠀⠀⢀⣹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⣠⡿⠟⠁⠉⠉⠛⠛⠛⠿⠶⠶⠶⠶⠿⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣥⡀⠀⠀⠀⠀⠀⢀⣀⣤⡷⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⠶⠾⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ hye bbg no drip ok thats cold u said drip eww thats not drip what is drip shadow: ill show u, sonic: oh, ok. *put on bunny suit* u hopped in my art (bunny rizz) omg ur so cute, and funny u look like shi🦔💨

⠀⢀⣀⣴⣶⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀ ⢰⣾⡿⠋⣩⣉⣭⣉⣍⠙⢿⣷⣦⡀⠀ ⠀⢉⣼⣿⡟⠻⠛⠿⢻⣶⡌⠙⢿⣥⡀ ⢠⣾⣿⠇⣾⣿⣿⣿⣤⠸⣿⡇⢾⣿⡁ ⠸⢿⣇⡙⣻⣶⣀⡛⣳⣼⠟⢁⣻⡏⠁ ⠀⠸⢿⣷⣍⠿⠿⠿⢟⣡⣰⣿⡏⠀⠀ ⠀⠀⠈⠹⠿⢿⣾⣷⣾⡿⠏⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠁⠁⠁⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢆⠀⣿⠀⡀⠙⢦⣀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢃⠀⢣⢹⣇⡁⠀⠀⠙⣦⣿⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡎⢸⠀⢀⣟⠇⠈⠆⠀⠀⠘⠾⢛⠲⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠈⢄⠈⠛⠀⠩⢀⡀⠀⠀⠀⡹⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠿⢦⣈⡡⡀⢠⠀⠁⢹⢤⠀⠈⠔⢱⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⢳⣧⠀⠀⠀⠈⠰⡀⠀⠀⣧⣀⣼⢀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢫⡳⣤⡀⠘⡄⠮⡒⠤⠊⠶⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⣼⣿⢟⡻⠶⢶⣶⠶⡋⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⢊⠝⣽⣏⠀⢀⠀⠀⠀⢣⣤⡴⢿⢲⣄⠀⠀⣟⠁⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡷⣀⠐⠠⢛⣦⠈⠒⢤⣴⣯⣏⡈⠀⣚⡿⠀⠀⠈⠈⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠪⣑⠶⣿⣿⡜⢹⡏⡏⠛⠿⠭⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠟⠉⢣⣸⠛⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢴⡉⠳⣦⣬⣻⣤⡶⢋⣴⡠⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⣰⠻⠾⠿⠿⠦⢿⡟⠛⠛⠃⠘⠛⢛⣛⢛⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⣤⣴⠶⠶⣤⡤⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⡀⣼⠿⠉⠁⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⢻⠶⠴⡟⡛⠟⢷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠙⠉⠛⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠷⠀⣠⣾⡶⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⡄⢸⣟⡈⠁⣹⣷⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⡐⣿⠁⠀⢸⡇⠀⠀⠉⠙⠉⣻⣆ ⠀⠀⠀⠀⠀⠀⠈⠙⢻⣶⣄⣀⣤⡶⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⡀⣴⢿⠉⠉⠉⠉⠛⢿⣆⠀⠈⣿⣤⣈⣡⣤⡶⠟⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⠠⠍⢹⡿⠅⠀⠀⠀⠀⠀⢿⠛⠀⠀⢠⣿⣷⡄⠀⠛⢛⣫⣿⡿⠇⠀⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀⠈⠁⠁⠀⠀⠀ ⠀⠀⠀⠀⣸⡟⠏⠻⣷⡄⢸⡷⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⢠⡾⣿⠻⠷⠀⠀⣻⣧⠈⠻⣶⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣧⡀⠀⠀⠀⢀⣿⠉⠀⠀⠈⢛⣷⣦⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠛⠛⠛⠛⠃⠀⠀⠀⢀⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠂⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣤⠀⠀⠀⢀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡶⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⡠⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣦⣀⣀⢀⡀⣀⣀⣴⡿⠟⠛⢷⣦⣄⣀⣤⣠⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠘⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠒⠲⠤⢄⣀⡀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠙⢦⡀⠀⠉⠛⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⡾⠁⢠⠶⣄⠙⣄⠀⠀⠀⠀⠈⠑⠦⣄⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡤⠀⠀⠀⡼⠀⢠⡏⠀⠈⢧⠸⡄⠀⠀⠀⠀⠀⠀⠈⠳⢄⡟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠚⠉⠁⠀⠀⠀⢸⠁⠀⡼⠀⠀⠀⠘⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⡇⠀⣀⡤⠴⠃⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⢦⣀⡤⠤⠒⠒⠒⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀ ⢀⣀⣠⣴⣶⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠻⠋⠀⣠⡶⠾⠓⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠉⠀⠀⠀⣀⠴⢲⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⡾⠉⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⢠⢧⡧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⢀⡴⢤⠀⠀⠹⡄⠀⠀⡤⠚⠀⠀⠀⠀⠈⢧⣤⣯⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡏⠀⠀⠀⠀⠀⢸⣸⢿⠀⠀⠀⠙⣆⠚⠀⠀⣠⣤⠶⢶⣤⣈⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⢿⣾⢿⠀⠀⠀⠀⠘⡷⠒⣿⣶⢸⣠⠴⣾⣿⣿⠀⠀⠀⠀⢀⡴⠚⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⣸⣇⣸⣤⠤⠴⠶⠖⠓⠶⣿⡼⠊⠁⢀⣼⣿⢹⠀⠀⠀⣰⠏⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠉⠉⠉⠉⠉⢀⣦⣀⠀⠀⠀⠀⠀⠀⠀⠿⠤⠤⠶⣏⣡⠇⢸⠀⠀⢰⡟⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠨⠛⠷⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡟⠀⢀⣿⣁⣠⠤⣏⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠉⢣⠭⡀⠀⠀⠀⠉⠙⠒⠒⠒⢒⠀⠀⠀⠀⠀⠀⣸⠁⢀⣿⣏⡁⠀⢀⣀⠙⠲⢤⣀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠙⠲⠄⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⣰⡟⠀⣼⠛⠉⢹⠟⠉⠁⠀⠀⣠⠈⠳⣄⠀ ⠀⠀⠀⠀⠻⢿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠘⢤⠀⠀⠀⠀⠀⠀⠀⡀⠎⠀⠀⠀⠀⠀⣰⢟⡴⠚⠁⠀⢠⣿⠀⠀⠀⢠⡞⠁⠀⠀⠈⣧ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠈⠑⠢⠤⠤⠂⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⡟⠀⠀⣠⢶⠋⢿⣄⡀⢰⠋⠀⠀⢠⡆⢈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠿⠶⠤⣤⣄⣀⡀⠀⠀⠙⢲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠛⠁⠀⣠⣇⠀⠀⠀⠈⡇⠀⠀⠉⠉⠦⠤⢤⠎⢉⡜⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⡽⣿⡿⣻⠿⣧⠉⠉⠙⠛⣳⠶⠚⠛⠛⠻⢶⣄⠀⠀⣰⠃⠹⣄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣰⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠴⠚⠉⣤⣞⠗⠉⣰⡿⠁⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠹⣿⠏⠹⡆⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⣾⡟⠁⠤⣿⣉⣀⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠳⠀⠀⠀⠀⠙⠲⠶⢶⣾⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢀⠀⠀⢀⣤⠈⣧⣿⣂⣀⣈⣛⠷⠎⢻⣀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣠⠶⠟⠟⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⣸⠋⢳⡀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢰⣏⣧⡀⠀⠀⢀⡴⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⡅⠀⠑⠦⠀⠀⠀⠀⠀⢟⠁⠀⠉⠙⠚⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⠛⠛⠉⠉⠉⠉⠉⠛⠻⠶⣤⣀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣯⠉⠙⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠟⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠈⠙⠷⣦⣤⣄⣠⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣄⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠉⠻⣦⡀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢠⡾⠂⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀ ⠀⠀⠀⢀⣴⠟⠁⠀⣀⣤⠶⠞⠛⠻⠶⣤⡀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⢤⣶⢻⡟⣶⢠⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃ ⠀⠀⢠⡟⠁⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠈⢿⣌⣛⡋⠀⠀⠀⠸⢧⡴⠛⠓⠞⠁⠀⠀⠀⠈⠛⠛⢈⣥⠟⠁⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠏⠀ ⠀⠀⣾⠁⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡽⠟⠀⠀⠀⠀⠀⢀⣤⣤⣴⣤⣄⣀⣤⣤⠶⠞⠛⠁⠀⠀⠀⠀⠀⠉⠛⠶⢦⣤⣤⣤⣤⣤⡶⠾⠋⠁⠀⠀ ⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⣀⣀⣀⣀⣤⣤⣴⡟⠁⠘⣧⠀⠙⠻⠋⠛⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠿⢋⣩⣽⠿⣯⣽⡇⠸⠋⠀⠀⣸⡟⠷⣤⡀⠀⠀⠈⠻⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠛⠶⠶⠶⠚⠛⠋⠉⠀⣰⡟⠉⢀⡀⠀⣿⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⣿⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠘⠷⣤⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣧⣀⣀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⢈⣻⢦⣄⣀⣀⠀⢠⣴⣶⠞⠛⠉⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠁⠀⠈⠛⢷⣤⣤⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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