Roblox Braille Art Emojis & Text

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⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⡀⠀⠀⠀ ⣤⣶⣶⡿⠿⠿⠿⠿⠿⣶⣶⣶⠄⠀⠀⠐⢶⣶⣶⣿⡿⠿⠿⠿⠿⢿⣷⠦⠀ ⠙⠏⠁⠀⣤⣶⣶⣶⣶⣒⢳⣆⠀⠀⠀⠀⢠⡞⣒⣲⣶⣖⣶⣦⡀⠀⠉⠛⠁ ⠀⠀⠴⢯⣁⣿⣿⣿⣏⣿⡀⠟⠀⠀⠀⠀⠸⠀⣼⣋⣿⣿⣿⣦⣭⠷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⢰⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡴⠟⠁⢀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡗⠶⠶⠶⠶⠶⠖⠚⠛⠛⠋⠉⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣷⣶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⠁⣰⣿⣿⣿⡿⠿⠻⠿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠀⣴⣿⣿⣿⠉⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣼⣿⣿⡏⠀⢠⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀ ⠀⠀⢰⣿⣿⡿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⠁⠀⠀ ⠀⠀⣿⣿⣿⠁⣿⣿⣿⡇⠀⠀⠻⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⢰⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⢸⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⢉⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣇⠀⣿⣿⣿⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⢸⣿⣿⣿⣷⣦⠀⠀⠀ ⠀⠀⢻⣿⣿⣶⣿⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣦⡀⠀⠉⠉⠻⣿⣿⡇⠀⠀ ⠀⠀⠀⠛⠿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠈⠹⣿⣿⣇⣀⠀⣠⣾⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣦⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⠿⠋⠉⠛⠋⠉⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⢰⣿⣿⣿⣿⣷⣶⣦⣤⣀⠈⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠻⣿⣿⣿⣷⣄⣴⣿⣿⣿⡿⢻ ⢸⣿⣿⣿⡏⣹⣿⣿⣿⡷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⡉⣿⣿⣿⣿⠇⠀⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠟⠀⠈ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣇⠀⣽⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⢰⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⣿⠀⠀⠀⠀⣽⣿⣿⣿⣿⣅⠀⠀⠀ ⢸⣿⣿⣿⡏⠻⣿⣿⣿⣧⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣿⣿⣿⣿⣀⣽⣿⣿⣿⡇⠘⣿⣿⣿⣿⣄⣀⣀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣦⡀⠀ ⢸⣿⣿⣿⡇⠀⢿⣿⣿⣿⡇⠉⠛⠻⠿⠿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠟⠁⠀⣿⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢴⣿⣿⣿⡿⠁⠹⢿⣿⣿⣷⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠒⠒⣲⡒⠒⢦⢀⢸⠋⠉⠑⠒⠢⢤⣼⠓⠒⢲⡒⠒⢦⣴⡗⠒⣶⠀⠀⢰⠒⠒⠒⠒⠒⠺⡞⢶⠓⠒⢦⡖⠒⣶⠆ ⠀⠀⠀⠘⠀⠀⢿⠇⠀⣼⠏⡏⠀⢰⣶⡄⠀⢸⢽⠀⠀⢸⡏⠀⣼⣿⠇⠀⢸⠀⠀⢸⠀⠀⡴⢤⠀⠀⡇⠈⠳⡄⠀⠐⡴⠁⠀ ⠀⠀⠀⢸⠀⠀⣟⣆⠀⠸⣼⡁⠀⠈⠉⠀⢀⡇⢸⠀⠀⢸⡟⠀⢸⡿⡅⠀⠸⢤⠤⣼⠄⠀⠉⠉⠀⠀⡇⢠⠞⠁⣀⠀⠘⢦⡀ ⠀⠀⠀⠘⠓⠒⠃⠘⠒⠒⠃⠉⠉⠒⠒⠤⠼⠁⠘⠒⠒⠒⠓⠒⠋⠀⠓⠒⠒⠛⠒⠛⠒⠒⠒⠒⠒⠒⠓⠓⠒⠚⠃⠓⠒⠚⠗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠶⠤⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣖⣒⣂⣉⣭⣭⣍⣕⣻⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠉⠀⠀⣀⣠⣀⣀⣀⣀⣀⣀⡀⠀⢀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠻⣄⢠⠖⠉⠉⣹⣉⡛⣿⣿⣶⣍⣿⣀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⡻⣿⠗⢦⡀⠀⠀⠈⢹⡆⠀⠀⠘⠟⠁⠙⠿⣿⠿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠙⢭⡛⠚⠁⠀⠀⠈⠲⢄⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠁⠀⠀⠉⠲⢄⠀⠀⠀⠀⡼⡿⢹⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⢸⠀⣀⡠⠤⠔⠒⠊⠉⠙⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠙⠢⣤⣼⠟⠀⢸⡷⣤⣀⡀⠀⡀⠀⠀⣀⣀⣼⠋⢣⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⠇⠀⠀⠈⢷⡈⠉⣒⣚⠚⠛⠓⠒⣷⡇⠀⢀⣳⡄⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⢀⣴⣅⠀⠀⠀⠀⠀⠀⠀⠀⣰⢻⢻⠀⠀⠀⠀⠸⡟⠚⢯⡽⣄⣀⣤⡾⢿⠒⢮⠙⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀ ⠀⣼⣏⠓⢝⡲⣀⠀⠀⠀⠀⡼⠁⢸⡎⠀⠀⠀⠀⠀⣧⡴⢻⠀⡠⢛⡿⡵⡈⢣⠀⢣⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀ ⠀⠈⠙⢵⣤⣉⠺⢕⠦⣤⠞⠁⠀⣇⠇⠀⣀⠀⠀⠀⠙⠁⠸⠊⠀⡼⠀⠘⣵⡄⠳⡀⠱⡄⢳⡀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀ ⠀⠀⠀⠀⠈⠻⢷⣄⣽⠋⠀⢀⣤⣿⡀⠈⠛⠁⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠈⢿⢄⠱⡀⠘⢆⠱⡀⠀⠀⠀⢀⣠⢤⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⡏⠁⠀⠀⠉⠑⠶⢄⡀⠀⣻⠛⠀⠀⠸⣿⡀⠀⠀⠈⢫⢆⠙⣄⠈⢦⢸⣤⢴⣞⠭⣶⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⡴⠚⠉⠈⠙⠛⠓⠶⡒⠒⠢⠷⡀⠀⠀⠀⠫⣦⣼⣶⣾⡿⠛⠉⡠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⣰⠁⠀⠀⠀⢀⣶⠀⠀⠱⡀⠀⠀⠳⡀⠀⣠⢞⡝⢉⣼⣟⠥⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣞⠘⢇⠀⠀⠘⢆⠀⠀⠳⣜⣵⣫⠴⢻⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠸⡄⠀⠀⠀⠀⣾⠀⠈⢣⠀⠀⠈⢣⡀⠀⠈⠁⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⠀⢳⠀⠀⢀⡠⣼⠀⠀⠈⢧⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠯⣲⣷⣺⠽⠊⠀⠀⠀⠀⠈⢧⠀⠀⠀⠙⢄⠀⠀⢀⣀⣀⠤⢴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⢸⠋⠉⢁⣀⠤⠲⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⣰⡧⠔⠚⠉⠀⠀⠀⠈⠓⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⠔⠒⠒⠒⠒⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⣤⣄⡄⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠥⠮⠧⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢻⢸⡀⠀⢠⣷⡇⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⢃⣤⣼⣷⠷⠾⠿⠿⠿⢦⣄⡘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠛⠉⢀⣀⣠⣶⢶⡦⠦⠤⣈⡻⢦⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢤⠔⠊⠉⣼⣿⠿⣷⠄⠀⠀⠀⠉⢳⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡆⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠠⣤⠴⠞⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⣀⣠⣴⢤⠤⠤⠔⠒⠚⣳⠲⣦⠤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢼⡟⠉⠉⢀⡾⠁⢸⠃⠀⠀⠀⠀⣏⠀⢸⡀⠀⠱⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⡇⠈⣷⡀⣰⠟⠀⠀⢸⡄⠀⠀⠀⢀⣿⠀⠀⣇⠀⠀⠹⡀⠀⠀ ⠀⠀⠀⠀⢀⡤⣿⠆⠘⠃⠀⠚⣿⡏⠀⠀⠀⢠⡇⠀⠀⣰⠟⣿⠀⠀⠘⡄⠀⠀⢣⠀⠀ ⠀⠀⠀⢠⠏⠀⣸⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⠁⠀⣸⠋⠀⣿⠀⡠⠀⢸⠀⠀⢸⡆⠀ ⠀⠀⢀⡯⠀⠀⢻⠳⡀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⣰⠇⠀⠀⢻⢮⣀⡀⡜⠀⠀⢾⡇⠀ ⠀⠀⡸⡇⠀⠀⢸⠀⢣⢠⠤⠴⣿⠒⠒⡆⠀⠀⢠⡟⠀⠀⣀⡿⠤⢤⡉⠑⢦⡀⣸⠀⠀ ⠀⢠⠟⣉⣉⣛⣟⣲⢻⡏⠀⢰⡏⠀⠀⢇⠀⢀⣾⣠⢴⠋⠀⠀⠀⠀⠈⢢⠀⠙⡇⠀⠀ ⠀⢾⠟⠁⠀⠀⠀⢉⡟⠀⠀⣾⠁⠀⠀⠸⡄⢸⡟⢧⡾⠃⠀⠀⠀⠀⠀⠀⢧⡼⠀⠀⠀ ⢸⢼⡄⠀⠀⠀⠀⡼⠀⠀⢸⡿⠀⠀⠀⢰⠁⢸⡷⠋⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⠀⠈⢻⡀⠀⢀⡼⠛⠓⠦⣾⣧⣤⣤⣤⣼⣤⣸⣿⣤⣤⡀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢤⡀⣽⣒⡤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⣀⣉⣓⣲⡉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠈⠙⠒⠛⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡇⠈⢆⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⣸⠁⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢀⡀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⠀⢀⡴⠒⠉⡇⠈⠓⠦⢄⣀⣀⣀⣀⣳⠀⠀⠀⢸⠀⣠⠖⠋⠉⠉⠑⠢⣄⠘⡆⠀ ⠀⠀⠀⠸⣅⠀⠀⠙⠤⠤⠤⠤⣀⣀⣀⣀⣹⠁⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠘⢦⣸⡂ ⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠸⣄⣤⣤⣔⣒⡲⠿⠿⠿⠿⠟⠀

⠀⣀⣀⣤⣤⣤⣤⣄⣀⣀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣴⣤⣀⠀ ⠘⠟⠋⢉⣠⣤⣭⣭⠭⡍⠀⠀⠀⢩⠭⣭⣭⣤⣄⡈⠙⠻⠂ ⠀⠀⠴⠯⢽⣿⡿⣹⣍⠟⠀⠀⠀⠻⠸⠏⠿⠿⠧⡽⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢰⠃⠀⠀ ⠀⠀⠀⠀⠀⢠⣀⣀⣀⣀⣀⣀⣀⣀⡤⠤⠞⠁⢀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠤⠤⠤⠤⠤⠤⠤⠤⠤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠔⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠒⠈⠉⠉⠉⠉⠉⠁⠀⠐⠒⠢⢄⡀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁⠀⠀⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⡀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⢀⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢆⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠓⠊⠉⠉⠑⠒⠒⠒⠒⠒⠒⠒⠒⠒⠦⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢣⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⡆⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠤⠤⢄⣀⣀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢹⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⡠⠔⠊⡁⠄⠐⠂⠀⠀⠀⠀⠉⠉⠉⠲⡄⠀⠀⠀⠀⠀⠑⠌⠁⠢⡀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⢰⠈⡄⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⡠⠊⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⡄⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢸⠀⣧⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⢠⠎⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢹⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⡀⢸⡀⠀⠀⠸⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢇⠀⠀⠀⠀⠀⠀⠉⠉⠉⠒⠒⠤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡇⠀⠀⢸⡉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⡞⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠀⠸⡇⠀⠀⠀⢇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠉⠀⠐⠒⠒⠦⡀⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⢷⠀⠀⠀⢈⢶⣶⠀⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⠈⢆⠀⢀⡸⠖⢒⠒⠷⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢃⠀ ⠀⠀⠀⠀⠀⣀⣬⡷⠛⠋⠙⠉⠀⢠⠑⡗⠂⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠊⠁⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⡇⠂⠒⠒⠠⢄⡀⢳⠀⠀⠀⢸⠀ ⠀⠀⠀⢀⢴⣷⠾⡧⡄⠀⠀⠀⢠⠃⠀⣧⡀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡀⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⢹⠀⠀⠀⢸⡀ ⠀⠀⣴⢟⡳⠶⠂⡠⢀⠀⠀⢱⠃⠀⡼⢻⡌⠳⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠠⠤⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⡇ ⠀⣞⠕⡡⢒⣚⣛⢾⣷⡕⡴⠑⠀⢰⢟⣸⣿⣄⠀⠈⠋⢭⣐⠂⠒⠂⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡇ ⠸⠏⣬⣳⠋⠀⠈⢷⢹⡼⣇⠘⢴⣿⣼⠃⣿⢸⠀⠀⠀⠀⠉⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⣇⢷⣣⠀⠀⠀⣰⢸⠃⣿⡐⣸⣸⣸⢅⢇⢿⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⢿⡄⠑⠭⣲⡾⠷⠃⣾⠟⢡⠏⠁⠬⠍⡺⣼⠀⠀⠀⠄⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⢀ ⠀⠀⠈⡆⢀⡠⣤⡤⣰⡀⠀⣼⡄⢣⡄⠀⡁⣿⣇⠀⡀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠸ ⠀⠀⠀⢳⡞⡯⣥⣙⢹⠃⣸⠉⣿⠎⠭⠈⠋⠁⠈⢳⣬⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⣸⡻⡝⠚⠋⡼⣢⣃⡺⠎⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀ ⠀⠀⠀⠙⢫⠓⠒⠲⢚⡹⠈⠀⠀⠀⠀⠀⠀⢀⠠⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢘⡆⠀⠀⠀⠈⠑⠒⠒⠒⠒⠊⠉⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⠀⠀⢄⡀⢠⠁⠀⠀⠀⠀⠀⢀⡀⢊⠧⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢦⡀⠛⠴⠥⠥⠄⠒⠒⠈⢁⣰⡎⠀⠀⠀⠉⠉⠀⠀⠀⠀⠂⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠇⠀⠀⠀⠀⠀⢀⢠⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⡜⠀ ⠸⠟⠶⠿⠯⠶⠿⠿⠗⢹⡻⠦⢄⠶⡶⠂⢚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⢸⣀⠀⣀⣀⣀⡠⠞⠁⠀⠀⢸⠁⠀

⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡗ ⢿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠟⠁ ⠀⠙⢿⣿⣿⣷⣶⣦⣤⣀⣀⡀⢀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣶⣾⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢠⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢿⣿⣿⣿⡿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄ ⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠃ ⠈⠻⣿⣿⣶⣤⣄⣀⣀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣶⣿⣿⣿⠛⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⣦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠉⠉⠙⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠁⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠁⠀⠀⠈⠉⠙⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡏⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣇⣀⠀⠀⠀⠀⣼⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣰⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⣲⠟⠉⢛⢥⡐⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⡡⠀⢀⣀⣀⣀⡠⣬⠁⠀⠀⠀⠀⢠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⣦⡮⠷⠯⠥⠽⣿⠒⠒⠢⢴⠒⠚⠂⠲⠧⠲⣦⣄⣀⠀⠀⢀⡀⠀ ⢀⣠⣶⣶⠶⣏⠢⡀⠀⢀⣠⢿⣀⣠⡤⡾⡖⣶⡖⢤⡤⠼⣁⣀⣽⣉⣛⠛⠿⣴ ⣯⡽⢿⡋⠉⠱⡬⠛⠛⠋⠉⢉⠉⠀⠈⢯⡇⡟⢣⠘⡰⠀⠀⠀⠀⠀⠀⠈⠉⠉ ⣧⠀⠀⢡⠀⠀⢃⢰⣶⢾⣿⣽⣇⠄⣠⣬⣓⢃⠀⢲⡻⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⡄⠀⠀⠆⠀⣈⣿⢭⣿⣷⢶⣿⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⣀⣤⠾⣏⣐⣻⠿⣿⡟⠛⢛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠸⢯⠒⢉⣡⠤⠐⢶⠚⠛⠉⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣏⡠⠔⡇⠈⢹⠤⠔⡄⣀⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠁⠀⢀⠇⠀⡾⠒⠹⣹⠝⠚⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡗⣹⢠⠞⠒⣨⠛⢔⢽⣿⢠⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠈⠀⣽⣿⣿⠃⠀⡏⠉⠁⡼⠟⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠠⣐⢨⡤⠂⠀⠀⠠⠤⠤⠧⠄⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀ ⠀⠀⠀⠀⢰⡿⠁⠀⢀⣀⣀⣈⣻⣷⡄⠀ ⠀⠀⠀⢀⣿⠁⠀⣸⢿⠉⠉⠉⠉⠉⠻⣆ ⠀⣶⡟⠛⡟⠀⠀⢻⡄⠀⠠⠀⠀⠀⠀⣿ ⠀⣿⠀⢸⡇⠀⠀⠈⠻⢶⣤⣤⡶⠶⣿⡇ ⢠⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇ ⠸⣿⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇ ⠀⢿⣦⣀⣇⠀⠀⠀⢀⣀⣀⣀⠀⢀⣿⠃ ⠀⠀⠈⠉⣿⠀⠀⠀⣿⡏⣿⠉⠀⢸⣿⠀ ⠀⠀⠀⠀⢿⣦⣤⣤⡿⠁⠙⠷⠶⠾⠃⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⡼⠁⡼⣳⠃⡸⠁⠀⠀⣠⠟⠁⠀⢀⡄⣠⣯⣀⠉⠓⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠻⠧⣼⣇⠀⢀⣳⣀⠀⠀⠛⠀⣀⣴⣏⣷⣿⣀⡈⠳⣤⡨⠿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣄⣠⢴⣿⡏⠉⠀⠈⣿⣿⣶⠾⣫⣯⡁⠈⠙⡟⠿⣶⢬⡙⢿⣾⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⠶⠋⣹⡇⠀⠀⠀⣴⣿⠀⠈⣴⣦⠀⠀⠰⡇⠀⢸⠷⣽⣿⢾⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣤⡞⠋⠀⠀⠀⠀⠛⠛⠀⠀⠙⠛⠀⠀⠀⠙⣦⡟⠀⠈⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠟⠀⠀⠀⠀⠦⣄⣀⣀⣀⣀⣀⡤⠄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⣄⣀⡤⠴⠶⣶⠦⣤⣀⡀⢀⣀⡤⢶⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⢿⡗⠓⡟⠉⠙⡏⠉⡏⠙⢺⠓⢻⠉⢻⡙⢯⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡿⢿⣛⣯⠀⠀⢸⡇⠀⡇⠀⠀⣿⠀⢹⠀⠈⡆⠀⣇⠀⢣⠈⣧⠹⣽⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣯⠿⣶⡾⠿⢛⣿⡄⠀⣤⣷⣤⣹⡦⠤⣼⡤⣼⣷⣠⢿⡀⣼⠦⢼⣦⡼⣦⢷⣧⡟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣽⣿⠖⢻⢃⡞⣹⡇⠀⢹⣘⣧⣿⡇⠶⣿⣿⣹⣭⣿⡼⣧⣿⡝⢦⢿⣹⢈⢻⣹⢸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⢋⡏⢠⢇⠞⢰⢻⣧⠀⠈⠛⡟⠛⢻⠙⠛⡟⠛⢻⠋⠻⡟⢻⡟⠛⡟⠛⡏⢹⢿⣸⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⣿⠃⡜⢠⠏⡞⢠⢇⣿⣿⡀⠀⠀⢇⠀⠸⡀⠀⢸⠀⢸⡀⠀⡇⠀⣇⠀⡇⠀⡇⢸⢸⣸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡙⠿⣇⡼⢀⡎⡸⢡⢟⡜⣼⣄⠱⡄⠀⠸⡄⠀⡇⠀⢸⠀⠀⡇⠀⢡⠀⡿⠀⡇⠀⠁⣼⣿⣧⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⠦⣌⡉⠙⠓⠧⠿⢽⣿⠃⠈⢣⠙⣆⠀⡇⠀⢳⠀⠀⡄⠀⡇⠀⢸⠀⣿⠀⣇⠀⡀⢻⣿⢧⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠉⠙⠒⠒⢲⡟⠋⢳⣀⠈⡆⢸⠀⣇⠀⢸⠀⠀⡇⠀⡇⠀⢸⠀⢹⠀⢹⠀⡇⢸⣿⡌⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠹⡆⡇⢸⠀⢸⠀⢸⠀⠀⡇⠀⡇⠀⢸⠀⢸⡀⢸⠀⣇⢸⣿⣇⣀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢷⢸⠸⡆⢸⠀⢸⠀⠀⡇⠀⢻⠀⠈⡇⠀⡇⠘⣆⢸⠀⢿⡟⠁⢀⣈⡳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠸⣾⣦⡇⢸⠀⢸⠀⠀⢳⠀⢸⠀⠀⡇⠀⣇⠀⠹⡈⣧⠘⣿⣄⣼⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⣿⣿⠅⢸⠀⠀⡀⠀⢸⡄⠈⡆⠀⢸⡀⢸⣤⢖⣿⠟⠛⠾⣿⣅⣀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢀⣀⠀⠈⢳⣄⠀⠀⠀⠀⣿⣿⡃⢸⡆⠀⡇⠀⠘⡇⠀⣇⣀⠴⠛⠉⣠⠞⠁⠀⠀⠀⠀⠀⠉⣭⠿⣿⣦⡀⢺⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⡼⠉⣡⣤⣀⡀⢙⣧⠀⠀⢐⣿⣿⣧⣼⣷⣖⣻⣲⠚⡛⠉⠉⠁⢀⣠⠞⠁⠀⠀⠀⠀⠀⣠⣴⠟⠛⠲⢤⣈⣽⠾⠇⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣦⠀⠀⠀⣼⡥⠞⠁⠀⠈⠛⠛⠉⠀⠀⠸⣿⡿⡟⠋⠉⠀⠀⠉⠉⠛⠛⠓⠛⢋⠁⠀⠀⠀⠀⠀⠀⣜⡟⠁⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠇⡿⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⣸⡸⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⢻⠀⢧⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡗⠶⣄⡀⠀⠀⠀⢿⡇⠀⠀⠀⠀⢀⣀⠤⠶⠚⠉⡆⠀⠀⠀ ⠀⠀⠀⠈⣇⠈⣯⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠉⠳⣄⠀⢸⣷⠖⠒⠒⢾⠉⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⢠⠤⠤⠤⡭⢭⢭⣤⡀⠀⠀⣹⠗⠒⠲⠤⢤⣀⣀⠀⣠⢿⡷⠤⠤⠤⠤⢤⣀⣠⡤⠤⠤⣾⠀⠀⠀⢠⡤⢬⢿⢮⣿⠤⡤⣤⣀⡷⠤⠤⠤⣄⣠⠿⠤⠤⣤

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⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⡇ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢠⣿⡟⠀ ⠀⠙⢿⣿⣿⣿⣿⣿⠿⠛⣁⣠⣴⣿⠟⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⠿⢋⣁⣠⣴⣿⠟⠀⠀ ⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠿⠛⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠛⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡾⣟⠉⠉⠙⢹⢻⠗⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢹⡇⣿⠀⠀⠀⣾⡏⣇⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡞⠁⣀⣼⣿⣾⣓⣾⡾⠿⠷⣿⣶⣤⡀⠹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠟⠛⠉⠉⠁⠀⣀⣠⣄⢄⡀⠈⠉⠻⣶⡌⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⣠⣴⠶⣶⣺⣿⣿⠻⠉⠙⠛⠓⠲⣬⡙⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡴⠋⠀⠀⢾⣿⣿⠗⢿⠟⠀⠀⠀⠀⠀⠀⢹⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣧⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠲⠶⠚⠛⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢀⣀⣀⣦⡤⠤⠤⠤⠶⠶⠶⢿⡶⠶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⠶⠶⠖⠚⠉⣽⠿⠁⣿⠀⠀⠀⠀⠀⠀⢸⠇⠀⢹⡀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠉⢻⡆⠀⠀⢀⣾⠛⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡆⠀⠘⡇⠀⠀⠀⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠛⢁⡇⠀⠸⣿⡄⣰⡿⠋⠀⠀⠀⢻⠀⠀⠀⠀⠀⢠⣼⡇⠀⠀⢻⡄⠀⠀⠘⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⢾⡷⠂⠘⠃⠀⠀⢻⣿⣻⠑⠀⠀⠀⠀⣸⡄⠀⠀⠀⣰⡟⢻⡇⠀⠀⠈⢣⡀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⣰⡏⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠛⠁⠀⠀⣼⡟⠀⢸⡇⠀⠀⠀⠀⢧⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⢠⡟⠀⠀⠎⣿⡄⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⢸⣇⣰⠞⠁⠀⡼⠀⠀⢀⣿⠀⠀ ⠀⠀⠀⣿⠂⠀⠀⠀⡏⢳⡄⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⢘⡟⠳⢤⣄⣸⠇⠀⠀⠘⣧⠀⠀ ⠀⠀⣰⣻⠀⠀⠀⢀⡇⠀⢷⠀⡤⠤⢶⣿⠓⠒⠛⡇⠀⠀⠀⢠⡿⠀⠀⠀⢀⣼⡧⢤⣤⡀⠈⠑⢦⡀⢀⡏⠀⠀ ⠀⢀⣿⠿⠚⠛⣷⡾⢧⣤⣾⣿⠃⠀⢸⡟⠀⠀⠀⣷⠀⠀⠀⣿⠃⣀⡤⠞⠋⠀⠀⠀⠀⠙⢦⡀⠀⠹⣿⠀⠀⠀ ⠀⣸⣅⡼⠖⠒⠒⠓⠲⢿⣼⠇⠀⠀⣾⡇⠀⠀⠀⢹⡀⠀⢾⣿⡿⢉⣷⡀⠀⠀⠀⠀⠀⠀⠀⠹⡄⢠⡟⠀⠀⠀ ⢐⣿⠋⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⢸⡿⠀⠀⠀⠀⠀⣧⠀⣿⡈⢹⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡾⠁⠀⠀⠀ ⣿⣿⣆⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⣸⡇⠀⠀⠀⠀⢀⡇⠀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀ ⠈⠙⢿⡀⠀⠀⠀⢀⡾⠷⣦⣤⣠⣿⣇⣀⣀⡀⠀⣸⡀⠀⣷⢿⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⡄⠀⠐⢿⣅⣀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠳⠦⣄⣀⣠⠴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠲⣄⣸⠧⠭⠗⠶⠶⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠴⠶⠦⣤⣤⠤⣬⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡾⣶⠛⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠈⡇⠀⠀⢀⣠⠤⠶⠦⠤⣤⣀⠀⠈⣧⠀⠀ ⠀⠀⠀⠀⣾⠟⠁⠀⢸⡇⠀⠀⠈⠙⠳⠶⠤⠤⠤⠤⣼⣧⠀⠀⠀⠀⢿⣀⡴⠋⠀⠀⠀⠀⠀⠀⠈⢳⡀⠈⣇⠀ ⠀⠀⠀⠀⢻⡄⠀⠀⠈⠳⠶⠶⠤⠤⠤⣀⣀⣀⣀⣀⣠⡗⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣹⡀ ⠀⠀⠀⠀⠈⠙⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠋⠀⠀⠀⠀⠐⣿⡀⣠⣤⣤⠴⠶⢖⣒⣒⣒⣶⣶⣾⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣠⠤⠤⠤⠶⡄⣯⣭⣭⣽⢠⠤⠤⠴⢤⡏⠉⣇⡤⠤⠤⠤⡄⢀⠀⢀⡴⠤⣄⡀ ⡇⢰⣲⡆⠀⢻⠉⣥⣤⠈⣿⠀⡿⠖⢀⡇⠀⣿⠀⡖⢒⡖⢟⠉⠳⠋⢀⠴⠋⠀ ⡇⢲⡄⢶⣒⡏⢸⣁⣸⠀⢸⠀⣖⡆⠉⣳⠀⣿⣀⣧⣸⠇⣸⠇⠀⡀⠙⠲⢤⣀ ⣧⣘⡿⣄⣙⣿⡦⠤⠤⠴⠿⠤⠤⠤⠤⢷⡤⠤⠾⠤⠤⠤⠗⠦⡞⠙⠦⣄⡴⠋

⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀ ⠟⢉⣭⣽⣿⡁⠀⠹⣻⣯⣍⠙⠃ ⠀⠁⠙⠓⠃⠁⠀⠀⠁⠉⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀ ⠀⠀⢠⣀⣀⣀⠀⠠⠤⠚⠠⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠉⠀⠉⠙⢶⠀⠀⠀⣀⣀⣀⣀⣀⡀⢠⡾⠋⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⣠⡼⠟⠛⠉⠉⠉⠉⠉⠉⠉⠙⠓⢦⣀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⢀⣤⣞⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣳⣄⣠⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣷⣾⠿⣿⣿⣟⡛⠛⢿⣶⣄⣀⣀⣄⣤⣴⣾⠿⣟⣿⣿⣟⠻⣿⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⢋⡿⢳⡟⠉⠀⠀⠙⣦⠀⠈⡿⠉⠉⠉⢻⡇⢀⣼⠏⠀⠀⠈⣷⠙⣦⢙⣷⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡞⠀⢸⡀⠀⠀⠀⢠⣿⢠⣿⠁⣀⡀⠀⠀⠹⣞⢿⡀⠀⠀⢀⡿⠀⣽⡿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⠦⣬⣳⣤⣤⣖⣿⣷⡿⠛⠋⢩⣽⣭⡟⠓⠻⣾⣷⣶⣶⣯⡴⢿⠋⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⡴⠦⣌⠉⠉⣡⡿⠁⠀⣴⣿⣿⣧⣳⣽⢣⡄⠈⠻⣄⠀⠀⣴⠛⢳⣸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⣿⠀⢸⡏⠀⠀⠀⠻⣼⡛⠓⢾⣿⡿⠁⠀⠀⢹⡄⠀⣿⠀⣸⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡞⣧⠼⠃⠀⣾⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⣧⠀⠉⠛⢋⡾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⣼⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⣰⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⢻⡶⣄⡀⠀⠉⠓⠶⠶⠶⠶⠖⠋⠉⢀⣀⡴⣾⠛⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⢸⡇⠈⠉⠒⠲⠶⠶⠶⠶⠶⠶⠒⠋⠉⠁⠀⣿⠀⠀⠙⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⢸⡟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⣿⠀⠀⠀⢹⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⢀⡾⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢻⡀⠀⠀⠀⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⣸⠃⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⣷⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⢀⡼⠋⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠈⣷⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⢤⣄⣿⠀⠀⢾⣃⡴⣦⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣨⠇⠀⠈⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⣻⣿⠀⣶⠚⢷⡶⠾⠂⠀⣸⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠶⠶⢾⡇⠀⠀⢰⡏⢰⣆⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠴⠚⠋⢷⠀⢿⣤⣿⣷⡾⠃⠀⠀⠀⣿⠀⠀⠀⠀⠀⣄⣀⣄⠀⠀⠀⠀⢸⡄⠀⠀⠈⠻⢛⣹⡇⢸⡇ ⠀⠀⣀⣠⣤⠤⠒⠛⠋⠉⠀⠀⠀⣠⣤⠞⣧⠈⣷⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⢹⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⣿⣷⡟⠀ ⠀⣸⡟⠁⠀⠀⠀⠀⠀⢀⣠⡴⠛⠁⠀⠀⠘⣿⠛⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡿⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠛⠒⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⡏⠀⢸⡇⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⢰⡇⠀⢸⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⣼⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⣤⣤⣤⣤⣤⣤⡿⠀⠀⠸⣧⣤⣤⣤⣤⣤⣤⣼⡄⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⣽⣿⡿⣿⣿⣷⣶⡀⠀⠀⠀ ⠀⠀⠘⣿⣿⢻⣧⠸⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⢻⡌⠉⡀⠿⢻⡿⡧⠀⠀⠀ ⠀⠀⢀⣄⣘⣚⠛⠁⢀⣠⣃⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣦⣶⣿⣿⣿⣿⣾⣆⠀ ⠀⠐⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⠠⠧⡒⢸⣿⣿⣿⣿⣿⣿⣿⡍⠭⣉⠅ ⠐⠎⠃⠚⣿⣿⣿⣿⣿⣿⡿⣽⠴⠁⡺ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣟⠧⢮⡗⣨ ⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡇⠀⠈⠀⠀ ⠀⠀⠀⠀⢎⠈⣿⠛⢻⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠒⠀⠃⠀⠀⠀⠀⠀

[The Hearts Wants What It Wants ] ♫ ˢᵉˡᵉⁿᵃ ᴳᵒᵐᵉᶻ ♫ 1:03 ──⚬──── 3:45 ⇆ ◃◃ ıı ▹▹ ↻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⠈⠉⢲⣀⣀⣤⣤⣤⣤⣀⣴⠋⠀⠀⠀⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣀⠴⠚⠉⠀⠀⠀⠀⠀⠀⠉⠙⠦⣄⠀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣳⣴⣾⣿⣿⠿⢶⣦⣀⣀⣀⣀⣤⣴⢶⣾⣿⠿⣷⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠛⡽⢳⠟⠉⠉⠹⣆⢈⡿⠉⠉⠹⣇⣴⡟⠁⠈⢱⡽⣎⣻⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠸⣄⠀⣀⣼⣣⣾⡥⠶⣤⣤⣝⣟⣧⣀⣠⢞⣡⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣨⣭⡛⠛⢛⡿⠋⢀⣴⣾⣻⣿⣄⠉⠻⡛⠛⢩⠿⣄⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣇⠀⡿⢠⡟⠀⠀⠘⢿⣋⣻⣿⠟⠀⠀⢹⡀⢸⣀⣼⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠛⠁⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠉⣹⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⢰⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⡀⠈⠳⣄⡀⠀⠀⠀⠀⣀⡤⠟⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⣿⠲⢤⣀⣉⣙⣛⣛⣋⣉⣤⠴⠚⡏⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⣿⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⣇⠀⠀⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⣼⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⡆⠀⠈⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢠⡟⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠈⣧⠀⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠁⠀⢀⡞⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⣇⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⢤⣸⠀⠐⣿⣤⣄⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⣸⠆⠀⢿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⡬⣿⡔⣟⣙⣷⠋⠀⢸⠗⠒⠒⠒⠒⠒⠒⠒⠛⢻⡇⠀⠰⣇⣼⣄⢸⡆ ⠀⠀⠀⣀⣀⡤⠴⠖⠛⠉⠉⣀⣿⡘⣟⠛⠋⠁⠀⠀⣸⠀⠀⠀⠀⡗⢺⡆⠀⠀⠈⡇⠀⠀⠈⣴⣿⣼⠃ ⠀⣰⠟⠉⠀⠀⠀⢀⣠⠴⠋⠁⠀⢷⠟⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⡇⠸⡇⠀⠀⠀⣿⠀⠀⠀⠈⠉⠁⠀ ⠰⢿⣀⣀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢀⡇⢠⡇⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⠁⢸⡇⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⢸⠀⢸⡇⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⣀⣀⣀⣀⣾⠀⠀⣧⣀⣀⣀⣀⣈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢺⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⣬⡙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠉⠉⠉⠉⠓⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⢸⣿⣶⣌⡑⢦⣀⠀⠀⠀⢀⡴⠋⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠈⣿⣿⣿⣿⠶⠚⠛⠛⠛⠛⢤⡀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡆⣻⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀ ⠀⣤⡤⠤⠤⢤⣿⡥⠖⠛⠋⠛⠒⢤⡀⠀⠀⠀⠀⠀⣠⣽⠦⣀⠀⠀⠀⠙⠦⣀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠈⢧⠀⢀⡞⡿⣿⣿⣿⣿⣿⣿⣿⠙⣆⠀⠀⢀⡞⠀⣿⣶⣾⣷⣤⡀⠀⠀⠈⠓⢄⣸⠁⠀⠀⠀⠀ ⠀⠀⠈⢧⣸⢱⡇⣸⠋⠉⣩⣿⣿⣿⡀⢹⠀⠀⣸⠁⢠⣿⣽⣯⣍⠉⢻⡷⣄⠀⠀⢀⠟⠀⠀⠀⠀⠀ ⠀⢀⣠⠞⣯⡼⠁⢹⡄⠀⢿⣿⣿⣿⠃⣼⠀⠀⠸⡆⠸⣿⣿⣿⣿⠀⢀⡇⠸⡝⣶⣁⠀⠀⠀⠀⠀⠀ ⣶⠋⠀⠀⡿⢤⣤⣄⠙⠶⠤⠽⢟⡡⠖⣻⣿⡟⢻⡿⣆⡈⠻⣿⣥⡤⠞⢁⣀⣹⣿⠈⠓⢦⣄⠀⠀⠀ ⠈⠙⠢⣄⣇⠀⠀⠀⠙⠓⠒⣺⠋⠀⠀⠻⣿⣿⡿⠃⠀⠻⣗⠶⠶⠶⠒⠋⠀⠀⣿⣠⠴⠚⠉⠀⠀⠀ ⠀⠀⠀⠀⢹⡀⠀⠀⢀⠔⠋⡏⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⢹⡝⠦⡀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⠀⣰⠃⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠙⣆⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⡇⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⣸⠞⠁⠀⠀⠀⠀⠀⢀⣤⣤⣀ ⠀⠀⠀⠀⢀⣀⣤⣬⣳⣄⡀⠀⠀⠉⠒⠦⠤⣤⠤⠖⠊⠁⠀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⢰⠏⡿⢻⣿ ⠀⠀⠀⡾⠿⠦⣄⠀⢀⣩⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣶⣶⣿⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⡿⢻⠃⠸⠟ ⠀⠀⠀⠀⠀⠀⣨⣷⣿⣦⣄⢹⣏⡉⠙⠛⡛⡛⠛⠛⠉⠉⣧⣠⣾⣷⣤⣀⠀⠀⠀⠀⢰⡇⡾⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠙⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠈⠙⠲⠞⠉⢻⡷⣧⡀⠀⠀ ⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⣹⡏⠙⠛⠛⠛⠛⠛⠛⠛⠛⠋⢹⣟⠀⠀⠀⠀⠀⠀⠴⣷⣼⢧⢼⡇⠀⠀ ⠀⢠⡟⠀⠀⠀⠀⠀⣠⠞⢩⣿⣷⣶⣦⣤⣤⣤⣤⣤⣶⣶⣿⡏⠓⠦⣄⡀⠀⣆⠀⣟⠳⠶⣾⠃⠀⠀ ⠀⢸⣧⡀⠀⠀⠀⠰⣿⡄⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⡇⠀⠀⠀⠉⠙⠛⠦⣼⢻⡟⠉⠀⠀⠀ ⠀⠈⠻⣅⣷⠀⠶⣤⠟⠙⣾⣇⡀⠀⠀⠀⠉⠉⠁⠀⠀⣀⡰⣧⠀⠀⠀⠀⠀⠀⠀⡿⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠶⠞⠋⠀⢠⡏⠀⠉⠓⠒⠶⠶⠶⠒⠒⠋⠁⠀⢸⡄⠀⠀⠀⠀⠀⢸⣷⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⡴⡶⢲⡶⠄⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⢰⠇⠈⣇⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⣼⠀⠀⣿⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠟⠚⠓⠲⢄⡀⠀⡏⠀⠀⢸⠀⢀⡤⠖⠒⠲⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠙⢸⡇⠀⠀⢸⡇⠋⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠶⠦⠤⠤⠤⠴⠖⠋⠁⠀⠀⠈⠛⠶⠤⠤⠤⠤⠶⠖⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡏⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⣿⡇⠂ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⡇⠀ ⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣸⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⣸⣿⡿⠀⠀ ⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⣀⣼⣿⡟⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⢀⣼⣿⡟⠁⠀⠀ ⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣛⣉⣠⣤⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣟⣛⣁⣠⣤⣴⣿⣿⡿⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣤⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣾⣧⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣿⣯⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣾⡳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⣵⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢻⡹⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣸⠁⣶⣰⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣳⡹⣷⣖⡚⠻⠟⢛⣶⣾⣷⣇⡴⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣽⣏⣹⣦⠉⣻⠛⠻⣧⣿⣭⡴⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢚⣿⣦⣽⣷⣾⣉⣤⣤⣽⢷⡾⣿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣽⣿⣗⣾⣦⣾⣤⣷⣾⣷⣿⣿⣴⠃⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⢸⠉⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⡷⠞⠉⠉⠀⠈⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣴⡖⠛⠉⠀⠉⠛⠶⣼⡀⠙⠿⠿⢿⠃⠀⢙⡿⠿⡟⠀⠀⠀⠀⠀⠀⣀⣽⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠈⠙⠛⠦⣤⣀⣠⠴⠻⣧⠀⠀⠀⠘⢶⣴⠛⠀⣼⢧⣀⣀⣠⠤⠞⠋⣽⠁⠹⣟⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⣿⠉⠓⠒⠾⢷⣶⣖⡒⠛⠚⠛⠛⠃⠀⡼⠋⠁⢀⣠⡞⠁⠀⠀⠙⣞⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⢧⣄⡀⠀⠀⢠⢿⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⡶⢲⣿⡥⠖⠚⠉⠁⠻⣆⠀⠀⠀⠘⢯⣧⠀⠀⠀⠀ ⠀⠀⣸⠃⠀⠀⠉⠳⢦⣼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⣧⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⣈⣿⡄⠀⠀⠀ ⢀⣼⢧⣀⠀⠀⠀⠀⣰⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⢧⠀⠀⠀⠀⠀⠀⢀⣳⡴⠛⠁⠈⢧⠀⠀⠀ ⠸⢧⡀⠙⠳⣤⡀⢠⠇⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⢷⣀⣀⡤⠶⠛⠉⠀⢳⠀⠀⠀⠘⣧⠀⠀ ⠀⠀⠙⠳⣤⡀⢹⠟⠲⠤⣼⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⢿⠁⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠘⣆⠀ ⠀⠀⠀⠀⠀⠉⠛⠒⠒⠲⠾⣿⣏⠙⠻⣶⡶⢤⣤⣀⠀⠀⡇⠀⢀⣀⣤⡼⣧⠀⠀⠀⠀⠀⣀⣸⡷⠶⠒⠛⢹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠈⠳⢦⣸⡏⠛⠲⠮⢭⣙⣿⡿⠿⠷⠚⠋⠙⣆⣀⡤⠖⠋⠉⢀⣽⢴⣶⡾⠟⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣟⠁⠀⠀⠀⢀⣿⠛⠦⣄⡀⠀⢸⠁⠀⠀⣀⣠⣤⠶⢻⣁⣀⣤⣔⣻⠽⠛⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠳⣄⠀⢀⡞⡏⠀⠀⠈⠉⠓⣾⠖⠚⠋⠉⢰⡇⠀⠈⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡏⠳⣄⠈⢳⡞⢠⠇⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠈⢳⠞⠛⠻⣦⣀⠀⠀⣰⠇⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢸⠀⠀⢸⣧⣀⡙⠳⢿⣀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡝⢦⣸⡇⠀⠈⣇⠀⠙⠳⣾⠁⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣝⣷⣒⣭⣽⡆⠀⠀⠸⡆⠀⠀⠀⠀⠀⢈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠀⠀⢻⣄⠀⠀⢹⡄⠀⠀⣀⣴⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢟⠲⢤⣿⣠⠾⠟⣹⡡⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣶⣯⠴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⡖⢒⡖⢢⢀⠇⠐⠂⢤⡖⠒⡖⠢⣴⠒⡄⠀⡖⠒⠒⢲⠲⡒⠤⠒⡶ ⠀⠀⡀⢨⡇⠸⡙⠀⠻⠀⡌⠃⠀⡇⠘⣏⠀⢇⣀⡇⠘⠃⢸⢀⠕⢀⠹⡀ ⠀⠀⠁⠈⠈⠐⠋⠁⠀⠒⠁⠁⠀⠁⠈⠈⠀⠈⠊⠁⠀⠀⠈⠈⠀⠉⠀⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠂⠀⠀⠒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠰⠶⠤⠤⠦⠤⠷⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡀⠀⠘⣀⡤⠒⢺⣲⣶⣦⣶⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢴⣿⠻⠋⠢⢀⠀⡇⠀⠈⠁⠘⠛⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠌⠀⠉⠢⢀⠀⢠⠗⡇⠀⠀⠀⠀⠀⢸⣀⠠⠐⠒⠈⠢⡀⠀⠀⠀ ⠀⠀⠜⠀⠀⠀⠀⠀⣹⠏⠀⢻⠓⢦⡶⠶⠴⡞⠀⢢⠀⠀⠀⠀⠐⢄⠀⠀ ⠀⡼⡄⡀⠀⠀⠀⡜⣿⠀⠀⠀⡏⣹⠣⣴⣞⢇⠫⠣⠀⠀⠀⠀⠀⠀⠂⠀ ⠈⠓⢮⣘⢔⣤⠎⢠⡇⢀⡀⠀⠉⠸⠊⡆⠘⣎⢂⠡⡱⡀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠉⠓⠁⡔⠚⠃⠌⣀⠀⡤⠀⠨⡄⠀⠘⣦⠢⠑⡐⣄⣠⣔⡾⠃⠀ ⠀⠀⠀⠀⠀⠠⠀⠀⠀⠆⠉⠉⡙⠲⡒⠚⠆⠀⢈⣷⢷⡾⣋⠱⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⡜⠀⠀⢰⠱⡀⠐⠄⠈⢤⡵⠥⢏⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣄⠀⢣⠀⠀⣸⠀⠱⡀⠈⢂⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠶⠶⠚⠉⠀⠀⠱⡀⠀⠢⡀⠀⠤⣰⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⡜⠤⠂⠈⠁⠢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⣀⣀⡀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⡹⢛⡕⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠊⠀⣔⡧⠂⢖⡆⠑⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣀⡱⢴⣊⣑⣚⠀⠀⠈⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⢰⡊⡹⠐⠀⠉⠉⣉⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⡀⠈⡱⠪⢸⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⠄⣀⣀⣀⣀⣀⡧⣪⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡖⡅⠈⡞⣦⡀⠤⡤⡶⡣⢋⠤⣺⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⣇⡇⡜⡜⢰⡱⢎⡔⢣⡳⡡⠊⢸⠀⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠤⣀⣀⢼⣧⣣⣸⣦⠞⢱⣜⣼⠇⡰⠙⠀⠀⣈⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠈⠒⠀⠐⢡⠏⡎⠊⡇⡠⣻⢛⠒⡏⠀⠀⠔⡩⠄⠚⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢑⡶⢴⠒⠁⡜⠀⢠⢏⠜⠈⣼⠀⠈⡆⡘⠉⣀⢠⡤⠔⠃ ⠀⠀⠀⠀⠀⠀⠀⢀⢎⡧⠊⠀⢰⢁⠔⣱⠃⠀⠀⢡⡇⠀⣘⠀⠀⠀⠙⠛⢖⡄ ⠀⠀⠀⠀⠀⠀⡠⠃⠌⠀⠀⠀⢸⠛⠚⠣⢤⠤⠤⠬⠔⠊⢸⠀⠀⠀⠸⠶⠟⠀ ⠀⠀⠀⠀⠀⡴⢁⠎⠀⠀⠀⠀⢖⡢⠤⢔⠿⠁⢀⠆⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠜⢀⠎⠀⠀⠀⠀⠀⠀⠈⠉⡍⠀⠀⣜⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠊⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠒⠃⠀⢠⣷⣿⡤⣔⡲⡆⠀⠀⠀⠀⠀⠀ ⠀⡰⠁⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡟⠉⠀⠈⡆⠀⠀⠀⠀⠀⠀ ⡔⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠐⠃⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⠏⠀⠀⣀⣠⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⣀⢀⣀⣴⣿ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢁⡀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣉⣠⣴⣿⠁ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠿⠿⠿⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠟⠛⠉⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣷⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣤⣤⣤⣤⣠⣀⣀⣤⣤⣤⣤⣶⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣹⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣇⣀⣀⣀⣀⣀⡉⠉⠉⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣉⣀⣀⣀⣉⣉⠉⠉⠛⠛⠛⠛⠶⠶⠤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢛⣋⣉⣉⣀⣹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⣉⣁⣠⣤⣤⣤⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠿⣿⠒⢴⠅⠀⠀⠀⠀⠸⠖⣪⠟⠃⠀⠀⠀⠀⠀⠀⠀⢀⣶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⠤⣵⡄⠀⠀⠀⠀⠀⠀⡾⠗⣲⠶⠂⠀⠀⠀⠀⠀⡠⠊⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⡄⠀⠀⣀⣀⣀⣀⣀⣠⠎⠁⠀⠀⠀⠀⣠⠔⠋⠀⡠⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡠⠖⠚⢉⣉⣠⠤⠤⠤⠤⣄⣉⡉⠒⠶⢞⡉⠉⠒⠒⠉⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠖⢉⡠⠔⠚⠉⠁⢠⢄⡀⠀⢀⡀⠀⠀⠈⠑⠒⠤⣈⠑⠦⣀⡠⠔⣻⠁⠀⠀⠀ ⠀⢀⡴⠋⡡⠒⠉⠀⠀⠀⠀⢰⡏⢀⣿⠊⠉⠉⠑⢦⡤⠤⡀⠀⠈⠑⠦⣈⠳⣴⠃⠀⠀⠀⠀ ⢠⠏⡠⠊⠀⠀⠀⠀⠀⠀⠀⠈⠙⡟⣿⣷⠀⢠⣴⣾⣇⢘⡇⠀⠀⠀⠀⠈⠣⡈⠳⡀⠀⠀⠀ ⠈⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢳⡉⠋⠤⠘⢛⡱⣇⠉⠀⠀⠀⠀⠀⠀⠀⠈⢆⠙⣆⠀⠀ ⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠙⠔⠛⠒⠒⠒⢎⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠈⢆⠀ ⠀⠀⠀⠀⢹⠶⠒⠚⣫⠉⠉⠉⠉⠙⠒⠲⠦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠘⡆ ⠀⠀⠀⢠⠏⠀⠀⠠⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⣀⣼⣷⣶⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣷ ⠀⠀⠀⣸⠀⠀⣀⣤⣾⣿⣿⡿⣿⡶⠀⠀⠠⣾⣿⣿⣿⠷⢶⣮⡙⠢⣄⠀⠀⢀⡠⠔⠚⠉⠀ ⠀⠀⠀⢸⠀⢰⡿⠁⠀⠀⠹⣿⠈⠁⠀⠀⠀⠉⣼⡏⠀⠀⠀⠙⣿⠀⠈⢳⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠸⣷⡀⠀⠀⢠⣿⠀⠀⢀⣄⡀⠀⢻⣧⡀⠀⠀⣰⡿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡄⢀⣙⣻⠶⠶⠟⠁⢠⠔⠁⡇⠉⠢⡀⠙⠻⠶⠾⢋⣀⣀⢠⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡅⠀⠈⢷⠀⢀⡔⠁⠀⠀⡇⠀⠀⠈⢢⠀⠀⢰⠋⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⣤⢎⡴⠉⢳⡀⠀⠰⢻⠀⠀⢀⠞⠉⠢⡈⣣⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⡽⠦⢤⣀⣙⠦⡀⢸⢀⠔⣁⣀⡤⠴⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠚⠁⠀⢀⡏⠀⠀⠉⠉⠙⠉⠉⠀⠈⡇⠀⠀⠉⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀ ⠀⡴⠋⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠀⠀⠈⡦⠀⠀⠀⠀⠀ ⢀⡟⠢⣀⠀⠀⢀⡜⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠙⣄⠀⠀⢀⣠⠾⢄⠀⠀⠀⠀⠀ ⠘⡇⠀⠈⠑⣢⠾⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠶⠒⠉⠈⠑⡄⣧⠀⠀⠀⠀ ⠀⠙⠒⠒⠚⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠐⢻⡤⠴⣧⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣀⣀⢴⣾⣦⡀⠀⠀⠀⣠⣷⠶⢤⣀⡇⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡽⠽⠶⣾⠶⢯⠢⠴⣯⣒⣲⣲⣭⢽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣏⣒⣒⣒⣓⣾⠀⠀⢹⣒⣒⣺⡶⠯⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣗⣶⣶⣶⣖⡏⠀⠀⢸⠭⣏⣿⣿⡭⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⢚⠉⠙⠒⣄⡇⠀⠀⢸⣤⠼⠋⠉⠉⠒⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠿⠯⣟⣇⣀⡠⠼⠃⠀⠀⠀⠛⠤⠄⣀⣖⡦⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⢈⣉⠀⠢⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠖⠒⠀⠈⠉⠀⠀⣾⠃⠁⣃⠆⠀⠀⠉⠉⠉⠉⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣆⠀⠀⠀⠀⠀⠀⠘⠳⡾⠋⠀⠀⠀⠀⠀⢀⠰⠥⠤⢀⠀ ⠀⠀⠀⠀⢀⡔⢉⣤⣬⣑⡒⠂⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣷⣶⣶⣶⡄⠱ ⠀⠀⠀⠀⢸⠀⣿⣿⣿⡿⠷⡒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⢀⠹⠛⢿⣿⣿⡟⢀ ⠀⠀⠀⠀⠘⢄⠙⠿⡟⢀⠠⠤⢁⠐⠂⠠⠤⠤⠤⠔⠒⢈⠵⣶⣦⡀⢹⡋⡠⠂ ⠀⠀⠀⠀⠀⠀⠁⠘⢠⠁⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⣷⣴⣿⣿⣿⠀⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠈⠢⣀⣀⠠⠃⢀⠠⣒⣒⣒⠤⡀⠛⠿⠿⠿⠃⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠀⢠⠐⠢⡀⢀⢆⣾⣿⣿⣿⣷⡌⡄⠀⡠⠈⠑⡄⡈⠀⠀ ⠀⠀⠀⢀⠤⡀⠀⠈⠆⠂⠀⠀⡇⢸⢸⣿⣿⣿⣿⣿⠇⠇⠀⢇⠀⢀⢧⠃⠀⠀ ⠀⠀⠀⢸⠀⡇⠀⠀⠈⠪⡐⠊⠀⠀⠣⢙⡻⠿⢟⡋⠌⠀⠀⠈⠁⡡⠁⠀⠀⠀ ⡃⢃⠀⢸⠀⡇⠀⠀⠀⠀⠈⠂⠄⣀⠀⠀⠈⠉⠁⠀⠀⣀⣠⡔⠈⠀⠀⠀⠀⠀ ⠉⠁⠀⠸⠀⡇⠀⠀⠀⠀⢀⡠⠚⠁⠉⣏⡆⠀⣮⡙⠁⢀⠀⠈⠢⢄⠀⠀⠀⠀ ⠀⠀⠀⢠⠖⡟⠁⠖⠖⠈⠁⠀⢀⠃⠀⠁⠸⠙⡄⢟⣶⠎⡆⠀⠀⠀⠣⡀⠀⠀ ⠀⠀⠀⢸⣉⣳⡆⠀⠀⠀⠀⠀⣸⢤⠤⡄⣀⣀⡇⢠⠿⡤⢧⠀⠀⠀⠀⠘⠄⠀ ⠀⠀⠀⠘⡆⢰⠡⠧⠧⠤⠔⠊⢹⠛⡏⣧⡟⠙⢳⢸⢹⢛⢻⠑⣄⣀⡀⢴⡺⡄ ⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠘⠒⠛⠁⡁⠀⢘⠌⠈⠉⠙⠀⡞⠀⠈⠁⡀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠤⠀⣀⣈⣒⣁⣀⡀⠤⠒⡇⠹⠅⠸⠴⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢹⠉⡏⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡈⠀⢠⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠀⠠⢀⠀⡇⠀⢸⠀⣀⠤⠄⠦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣃⡀⠀⠀⠀⢀⠇⠀⠈⣄⡀⠀⠀⠀⣈⠆⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠂⠀⠐⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠑⣄⡠⠤⠄⠀⠀⠤⢄⡃⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠀⢀⣈⠑⢄⠀⠀⡠⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⣀⡠⠋⡴⠛⢻⣷⠀⠀⠀⠀⢠⣿⣿⣻⡄⠑⡊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⢿⣶⠿⠋⢀⡀⠀⢀⡀⠙⠿⠿⠁⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠋⠱⠀⢠⠒⣁⠀⠀⢀⣈⠱⡀⢰⠉⢢⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠘⠄⠴⠀⡄⠈⠻⠃⠀⠘⠛⠀⡇⠘⠤⠜⡜⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⡴⠁⠀⠀⡰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠉⠒⠒⠂⠉⠀⢀⣠⡊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢹⠐⠒⠀⠀⠄⠀⠒⠈⠁⡇⠈⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢄⠀⠱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢠⠮⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢃⠀⠸⠀ ⠀⣀⡀⠤⠄⠐⠒⠉⠉⣉⣆⠗⠒⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠺⠜⠀ ⡎⠀⠀⣀⡠⠤⠐⠂⠉⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀ ⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡄⠀⠀⠰⠀⠈⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⢆⠀⢰⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⠤⠄⠚⠒⠀⠀⠘⠒⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢰⢟⡘⠃⡁⠀⠁⣠⣶⡃⢉⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡲⢻⠀⠀⣿⢙⡇⠈⡉⣿⡽⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡅⠀⠀⠁⠀⠁⠀⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠈⠀⠀⠈⠀⡸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠗⠘⠻⠻⠲⠲⠻⢳⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣽⠻⡄⣤⢴⣤⣦⣦⡇⣧⢧⡮⣿⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡿⡍⠦⣙⡇⠙⠛⡚⠟⠛⢛⠛⠛⠓⢿⢸⠀⠀⠀⠀ ⠀⠀⠀⠸⡛⠕⣌⣳⣮⢕⡀⠃⠃⠸⢰⢸⢸⠀⠀⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠁⠒⢲⠓⡌⣸⠀⠀⠰⢈⠈⢘⢸⠂⣯⢣⠀⠀⠀⠀ ⠀⠀⠀⡌⠀⠀⢀⠆⠀⢰⣞⢸⢨⠀⠘⠀⡀⠘⡠⢻⠁⠕⠄⡀⠀ ⠀⠀⢀⠃⠀⠀⠘⢄⠀⠀⣿⢈⢀⠀⡆⡆⡡⢇⠟⠑⠫⢤⣄⠘⡄ ⠀⠀⣘⠀⢀⡪⠀⠬⠆⠀⣿⠾⠾⠤⠅⠉⠄⠂⠀⢀⡴⠊⠒⢽⠃ ⠀⠀⠻⠀⡏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣇⡀⠀⢼⠁⠀⢀⡈⠦ ⢀⠀⣣⣓⠁⢠⠄⢀⣀⢀⣟⠀⢀⡀⡀⢰⠀⢈⣢⣼⣀⡘⡅⢀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⣀⣀⣤⣤⡴⠶⠛⠋⠉⠉⢻⣤⡴⠖⠚⠛⠉⣯⣿⡇⠀⠀⠀⣀⣤⣤⡶⣤⡀⠀⣸⠅⠀⠀⢸⡏⠀⣀⣤⣤⠤⢤⣤⠀⠀⠀⠀⠀⠀⣠⡖⠁⠀⠑⠢⢄ ⢰⡟⠋⠉⢉⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠷⠒⣛⣉⣉⣉⣉⡀⠀⢺⡏⠉⢁⣀⠀⣈⠙⠶⣿⡀⠀⠀⢸⠁⣼⠋⠀⠀⠀⠀⢈⣷⣤⠶⣦⢀⡴⠋⠀⠀⠀⠀⣠⠞ ⢸⡇⠀⠀⢸⡏⠉⢛⣷⠀⠀⠀⠀⠈⣿⡟⠋⠁⠀⠀⠀⠀⠙⣦⣼⡇⠀⢸⡏⢉⣿⠀⠀⢸⡇⠀⠀⣾⠀⡏⢀⣠⠤⠖⠻⣟⢻⣆⠀⠸⠟⠀⠀⠀⠀⢀⡴⠃⠀ ⠀⡇⠀⠀⠸⣷⠶⠋⠁⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠈⠛⠉⠁⣠⣴⡟⠃⠀⢀⡗⠀⡇⠘⣷⠀⠀⠀⣿⠀⢿⣦⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀ ⠀⣷⠀⠀⠀⠀⠀⠀⠀⠠⣤⣄⡀⣠⣾⠋⢰⡖⠦⠤⣤⡀⠀⠀⢹⡇⠀⠀⠀⠀⠺⣯⣰⠃⠀⠀⢸⡇⠀⣿⠀⢻⡄⠀⣀⣽⠀⣼⠟⠀⠀⠀⠀⠛⢄⡀⠀⠀⠀ ⠀⣿⠀⠀⠀⠈⢷⡀⠀⠀⠙⣯⡙⢻⠁⠀⠘⣧⠀⣀⣼⠇⠀⠀⠀⢿⡀⢠⡴⢶⠀⠈⢻⡟⠀⠀⣸⠁⠀⣿⠀⠘⠿⠛⠉⢡⡾⠋⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀ ⠀⣿⠀⠀⠀⠀⠸⣷⡀⠀⠀⠈⢿⣼⣆⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠘⣷⠸⠶⠛⠀⣠⣿⠁⠀⡼⠿⢶⠛⢉⣿⡏⠀⠀⠀⢿⣅⡀⠀⢀⡰⢷⡀⠀⠀⠀⢀⡼⠃ ⠀⢿⡇⠀⠀⠀⠀⣿⣷⡀⠀⠀⠀⠹⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠶⢶⣶⣶⣿⢸⢶⣿⢫⠏⡼⠶⠾⠋⠳⠖⠒⠒⠢⠽⢿⣦⠞⠀⠀⠙⢦⡀⢀⡞⠀⠀ ⠀⠸⠷⣦⣄⡀⠀⢿⠘⣧⡀⠀⠀⠀⠈⠻⣿⣶⠶⠶⠶⠖⠒⠚⠉⢁⣠⣴⣿⣿⣿⣿⣷⣾⣷⠿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠋⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠓⠾⠀⠸⣷⣀⣠⡤⠤⠤⠾⠟⠓⠀⠀⠀⠀⠀⣠⣾⣿⣿⣇⣾⢛⡿⡟⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣁⣙⠺⠿⠟⣹⣶⣼⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣻⣿⣿⣿⣿⣿⣟⠉⢛⣭⣿⣾⣯⠍⠁⣹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⠿⡿⠿⠿⠷⠶⣿⣿⣿⠿⠷⠿⠿⡿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⣴⣾⣿⣄⣹⣷⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠙⢿⣿⠇⠘⢛⣄⠀⠀⡇⢀⣤⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢀⡀⠀⠀⠸⠟⠿⠖⣷⡋⠘⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠈⢷⣤⣴⠆⠀⠀⠀⣿⣿⠆⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣟⣧⡇⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠤⠤⠤⣬⣿⠒⠒⠒⠒⠒⠒⠒⠋⢹⣿⠛⠉⠉⠉⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣞⡏⠀⠀⢠⡟⣿⣦⣀⣖⠒⠒⣺⢃⣤⣯⠇⠀⠀⢀⣴⢿⡗⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠙⣿⡇⠀⠀⠈⠙⢲⡟⣟⡟⢆⢠⠇⡼⣿⡁⠀⣠⣾⡿⢿⡞⠂⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢿⣷⠀⠀⠀⠀⡾⢡⠇⢧⠈⣿⡀⡇⠹⣷⣾⠟⠋⣰⠋⠳⡄⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠹⣇⠀⠀⢸⠁⡜⠀⢸⢰⣹⣳⣧⣾⡿⡇⠀⢰⠃⠀⠀⣿⠀⠀⠀⣀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣄⡀⡀⠀⠀⣀⣀⢽⣆⠀⢸⠀⡇⠀⢸⠈⢁⣽⣿⣁⣇⡇⣠⠋⠀⠀⠀⣽⣠⢴⡻⠗⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠉⠓⠒⠒⠲⠶⠒⠛⠉⠸⡷⣜⠦⠟⠻⣿⣴⡿⠉⣧⡋⢉⡟⠁⠀⠀⠀⠀⣿⠞⠉⠀⣠⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣀⣀⠀⠀⠀⠀⠀⠀⣀⣀⡴⣃⡼⠀⠀⣰⣿⠉⠀⠀⢳⣷⠈⣧⠀⠀⠀⠀⢠⣟⡤⢲⣿⣿⡯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

正在播放《Never gonner give you up》 01:43 ━━━━●───── 03:50 ⇆ㅤ ㅤ◁ㅤ ❚❚ ㅤ▷ ㅤㅤ↻ ᴠᴏʟᴜᴍᴇ : ▁▂▃▄▅▆▇▉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠒⠀⠉⠉⠉⠉⠉⠐⠂⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⣀⣀⣀⣀⡀⠤⠤⠤⠤⠤⠤⠤⠤⣤⣤⢤⡤⠤⠀⢢ ⢀⡀⠀⠀⠀⠀⠀⠀⠧⡜⢠⢪⠋⠉⠉⢳⠀⢀⡀⠀⡀⢀⠞⠉⠈⠁⢊⡄⠘⡆ ⠳⣙⠣⣠⡀⠀⠀⠀⠀⡇⢸⢆⠀⠀⠀⢠⠏⠀⠀⠀⠀⠹⡀⠀⠀⠀⡸⡄⠀⡇ ⠀⠀⢿⠀⠈⠢⡀⠀⠀⢃⠀⠑⠣⠤⠜⢻⠀⠀⠀⠀⠀⠀⡟⠲⠶⠬⠂⠀⠀⠇ ⠀⠀⠀⡱⣤⡀⠈⠲⡄⠈⢂⠀⠀⠀⠀⢸⠀⡠⢤⠤⢄⠀⡇⠀⠀⠀⠀⢀⠜⠀ ⠀⢠⡊⢀⡜⣸⡢⡀⠀⢳⡄⢑⠤⣀⠀⢸⢪⠊⠀⠀⠑⡵⡇⠀⣀⠠⠔⠉⠀⠀ ⠀⠀⠑⠊⠀⣹⠲⡾⡒⢏⣹⡫⠃⡠⢋⠹⡠⡀⠀⠀⢀⢃⠋⠉⠉⠢⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⡗⠙⠝⠃⠈⡟⠤⠎⠀⡄⠀⡗⡮⠤⠤⢵⡏⠀⠇⠀⠀⠀⠣⡀⠀ ⠀⠀⠀⠀⠀⠈⠉⠲⣈⠔⠁⠀⠀⠀⡇⠀⠁⡇⠀⠀⢸⠁⠀⢱⡀⠀⢀⠀⢱⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠠⠐⢊⡇⠀⠀⠃⠀⠀⢸⠀⠀⢸⠐⡎⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢒⣂⡘⠀⠀⠚⣘⣲⢽⠘⡴⠀⡄⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⡄⠈⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⠀⠀⢐⠎⢒⣀⠀⢀⣀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢰⠀⢸⡀⠀⠀⠀⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⠉⠨⢍⢹⠀⠀⡏⢉⠭⠉⠽⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣀⣀⣀⣀⠄⠀⠀⢇⡁⠀⠀⣀⡸⠀⠀⠀⠀

⠀⠀⠀⠀⢀⣀⣠⠤⠶⠶⣄⣀⣀⢤⠤⣤⣄⠀⠀⠀⠀⢀⣀⠀⠀⢰⠒⠒⢲⠆⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢀⠔⠢⢀⠀ ⣴⠒⠛⠉⠉⠁⠀⠀⠀⠀⣿⡿⠔⠒⣒⣛⣋⠀⢰⠚⠋⠉⠉⡛⠦⣿⠀⠀⢸⢀⡞⠉⠁⠀⠙⣆⡤⢦⢀⡴⠁⠀⠀⢀⡼ ⢿⠀⠀⣿⠉⣹⠇⠀⠀⠀⢹⡏⠉⠀⠀⠀⠈⢳⣼⠀⠀⣏⣩⠇⠀⣸⠁⠀⡿⢸⠀⣤⠒⠋⣿⢻⣄⠈⠋⠀⠀⢀⡰⠊⠀ ⢸⠀⠀⠙⠉⠁⠀⡀⠀⠀⣠⡿⢠⣀⡀⠀⠀⠈⢿⠀⠀⠀⠀⣴⢛⡏⠀⠀⡇⢸⠀⢻⠀⠀⢹⠀⣿⠆⠀⠀⢰⡋⠀⠀⠀ ⢸⠀⠀⠀⢢⠀⠀⠹⣟⠚⡏⠀⢸⡄⢈⣹⠄⠀⠈⣦⢠⡤⣤⠈⢻⡗⠀⢠⠁⢸⡄⠘⠷⠚⢋⡾⠃⠀⠀⠀⠀⠈⠒⢄⠀ ⢸⡄⠀⠀⠘⣧⠀⠀⠈⢿⣧⡀⠀⠛⠉⠀⠀⠀⠀⢹⡈⠓⠃⣠⣿⡁⣰⣻⢾⠋⣽⣏⠀⠀⠸⣦⡀⢀⠔⢦⡀⠀⠀⡰⠃ ⢸⣇⡀⠀⠀⣿⢷⡀⠀⠀⠙⢿⣦⣀⣀⣀⣀⠤⠴⠛⣉⣿⣿⣿⣿⣿⣣⡮⠞⠉⠁⠉⠉⠉⠉⠉⠙⠋⠀⠀⠙⢦⠜⠁⠀ ⠀⠈⠙⠛⠦⠿⠈⢧⣀⣀⠠⠤⠿⠷⠀⠀⠀⠀⣠⣾⣿⣏⣽⣿⣿⠿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣾⣿⣿⣥⣼⡛⡛⣽⣶⢾⣿⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣿⣿⣿⣿⣦⣐⣿⣿⣿⣤⣴⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⡇⠀⣠⣼⣯⣹⣦⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠉⠻⠟⠈⢩⣤⡀⣼⡠⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠠⣄⣀⡈⠉⠉⣻⣧⢘⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠈⠉⠀⠀⠀⣸⣿⣼⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠤⠤⣼⡓⠒⣒⣒⣂⡈⢩⣿⠛⠉⠁⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢾⣿⠃⠀⠸⢼⣿⣾⣧⠀⡼⢱⡿⠃⢀⣠⣾⣿⠁⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⢿⡇⠀⠀⢠⠏⠏⡇⢻⡁⡏⣷⣴⡿⠋⡞⠳⡀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⢹⡀⠀⢸⢸⠀⢠⣾⣿⣷⢿⣯⠀⡜⠀⠀⡇⠀⢀⣠⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⠷⠦⢄⣠⡶⠾⠻⣄⢸⣰⣤⣆⣰⠾⡿⠾⢧⠞⠀⠀⠀⣷⡾⠛⠉⣹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⣀⣠⢋⡇⠀⣨⡿⠁⠀⢻⡄⢣⠀⠀⠀⢀⣇⢤⣶⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡿⣿⣽⣳⣯⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⡿⣯⣽⣞⡷⣯⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⣿⢯⣟⣷⣻⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠉⠛⠛⠛⠛⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢀⣀⡄⠀⢀⢰⡤⠴⣤⣿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡇⠀⠀⣾⣽⣽⣶⣷⣿⡿⢇⠂⡌⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠊⣻⠿⠟⠃⠀⣧⠽⢻⣧⠀⠀⠘⠻⠟⠛⣿⢛⡍⢎⠸⢀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⣿⡜⢣⣿⠀⠀⠀⠀⠀⠠⢌⢳⣘⣌⠢⡁⢚⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⣜⣣⣻⡄⠀⠠⣄⠀⠆⠼⣪⣿⠋⡔⠡⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡇⠀⠀⠀⢹⣿⡿⣿⡷⣄⠀⠙⠳⢾⣿⠿⠧⠿⠶⠛⠛⠢⠖⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⠀⠀⠀⢸⣿⣟⡷⣿⢿⣿⣿⣯⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠢⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣀⣀⣀⣸⢿⣯⣟⣯⣿⣞⣯⡿⣽⣿⠀⠀⠀⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣽⣳⡿⣞⣯⣿⣻⣿⠀⠀⠀⠀⠀⠈⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣹⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣞⣯⢿⣻⢷⣯⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⠀⢀⣤⣤⣶⡶⢶⠾⡛⡟⡛⢏⡻⢍⢾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⣟⡿⣯⣿⢾⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠱⢦⡙⣬⢓⡱⢣⡙⢧⢱⣊⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣻⣽⡷⣯⣿⢾⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠧⡙⢦⡙⣔⢣⢎⡱⡍⡖⣣⠲⣽⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣽⢾⣻⣽⡾⣟⣾⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢞⡡⡓⣜⠢⢇⡎⡱⢎⡕⢣⢣⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡾⣟⣯⣷⢿⣻⡽⣟⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠰⡍⢦⠛⡴⢊⡵⢃⡎⢧⣹⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣽⣾⣻⣽⣟⣯⢿⣯⢿⣷⣄⠀⠀⠀⠀⠀⠀⡸⢆⢏⡼⢡⢫⠜⡱⣌⠳⣘⢲⣺⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣿⣳⣯⢿⣻⡾⣿⣽⣿⣷⡀⠀⠀⠀⠀⡱⢎⡜⣸⡑⢮⡙⢆⠧⣙⣤⣯⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣷⢿⣿⣿⣿⣦⠀⠀⠠⢏⡖⢬⡱⣌⣣⡼⠿⠚⠋⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣄⣠⣧⠾⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠝⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡊⠀⠀⢘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣤⡀⠀⠀⢀⣷⣶⣤⣄⣀⠀⠀⢠⣤⣤⣤⣤⣤⣀⠀⠀⣤⣤⣤⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⠠⣤⣤⣤⡄⢀⣤⣤⣤⣤ ⢸⣿⣿⡟⣿⣿⣿⡆⠀⣸⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣟⢻⣿⣿⣷⠀⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⣿⣿⣾⣿⣿⠏⠘ ⢸⣿⣿⣿⣿⣿⣿⠁⢀⣿⣿⣿⣉⣽⣿⣿⠇⢸⣿⣿⣿⢿⣿⣿⣅⠀⣿⣿⣿⠀⠀⠀⢸⣿⣿⣏⣉⣿⣿⣿⠀⠀⠀⣽⣿⣿⣿⡅⠀⠀ ⢸⣿⣿⡇⢹⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⡟⠀⢸⣿⣿⣷⣴⣿⣿⣿⠀⣿⣿⣿⣦⣤⣤⢸⣿⣿⣿⣿⣿⣿⣿⠀⢠⣾⣿⣿⢿⣿⣿⣦⠀ ⠘⠛⠛⠃⠈⠛⠛⠛⠀⠀⠈⠉⠛⠻⠿⠇⠀⠈⠛⠛⠛⠛⠛⠉⠁⠀⠛⠛⠛⠛⠛⠛⠀⠛⠛⠛⠛⠛⠛⠛⠀⠛⠛⠛⠁⠀⠙⠛⠛⠓

⠀⠀⢀⣀⣀⡀⠀⠀⠀⣀⣀⡀⠀⠀⠀ ⠀⠀⠸⣿⣿⠃⠀⠀⠀⢿⣿⡟⠀⠀⠀ ⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠇ ⠙⢿⣷⣶⣤⣤⣤⣤⣤⣶⣾⣿⠿⠁⠀ ⠀⠀⠈⠻⠿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠴⠒⠒⠉⠉⠉⠉⠉⠉⠙⠒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⡴⠒⠊⣩⠿⣟⣛⣿⣯⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠿⠯⣍⡓⢄⠀⠀⢱⡀⢘ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣦⣼⠁⢠⠞⣱⠋⠀⠀⠀⠀⠙⣧⠀⠀⢀⣀⣠⣄⣀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠙⣆⢣⠀⠀⢻⠁ ⢾⡙⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢸⢰⡇⠀⠀⠀⠀⠀⠀⢸⣠⠎⠉⠀⠀⠀⠀⠙⢾⡇⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⢸⠀ ⠀⠙⢦⡈⢳⡴⠶⣄⠀⠀⠀⠀⠀⠀⠸⡇⠀⠸⡌⢧⠀⠀⠀⠀⠀⣀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⣠⠏⡼⠀⠀⢸⠀ ⠀⠀⠀⢹⡟⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⢳⠀⠀⠙⠦⣷⣒⣒⣒⡯⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⢿⣖⣒⣒⣋⡥⠞⠁⠀⠀⢸⠀ ⠀⠀⠀⠈⠛⢦⡀⠀⠀⠈⠳⣄⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⡎⠀ ⠀⠀⠀⠀⠀⢠⣽⣦⡀⠀⠀⠈⠑⢄⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⠤⠤⢤⣤⣀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀ ⠀⠀⠀⢀⡴⠁⠈⠛⣝⢦⡀⠀⠀⠀⠑⢄⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⣧⡴⢋⠴⠚⠉⠒⠢⣍⢢⣸⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀ ⠀⠀⢰⣯⠀⠀⣠⠞⢠⣿⠽⠦⡀⠀⠀⢘⣿⣆⠀⣨⡑⠢⢄⣀⡀⢀⣿⢡⠋⠀⠀⠀⠀⠀⠈⡆⢻⠀⠀⠀⣀⣠⠴⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠶⠞⠁⠀⠘⣿⢦⣀⣽⣶⣶⣾⠙⢯⡿⢉⡽⠂⢀⡬⠛⠛⣧⢺⠀⠀⠀⠀⠀⠀⠀⡇⢸⠗⠚⠉⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠻⣄⣸⣿⣵⠆⢸⣖⠾⡰⠊⠀⡰⠋⠀⡆⠀⠸⣌⠣⣀⠀⠀⠀⣀⠜⢡⠏⠀⢧⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⡦⠤⢋⡼⠙⠆⠀⠙⡷⠤⣄⡾⠁⠀⢰⠇⠀⠀⣟⢳⠬⣍⣉⣉⣡⡴⢻⠀⠀⢸⡀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢤⣊⣀⣀⡤⠀⣸⠃⠀⠀⠀⠀⠀⢺⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢧⣠⠜⠃⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢿⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⣷⡀⠀⠀⠀⣀⡤⠤⢼⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢤⣀⡀⠀⣀⡠⠞⣟⠀⠀⠀⢹⢸⡂⠀⠀⠀⠀⡇⢸⠀⠀⠀⣇⠙⣦⠔⠋⠁⠀⠀⠀⢱⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⣿⠀⠀⠀⣼⠀⡇⠀⠀⠀⠀⡇⢸⠀⠀⠀⣿⠀⣸⠆⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠒⠒⠞⠀⠷⠤⠤⠤⠴⠿⠘⠧⣖⣚⣿⠈⢇⣀⣄⠀⢀⠀⣢⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠈⠉⠉⠓⠳⠶⠶⠶⠶⠶⠶⠿⠛⠋⠉⢸⠀⠈⢧⣀⣠⡾⠴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⢀⣠⡴⠤⡤⣄⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢤⣀⣀⣀⣀⣀⣠⠇⠀⢳⢤⣀⣀⣀⣀⣠⠤⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⢤⣀⣀⣀⣀⡠⡟⠀⠀⠀⣷⣀⣀⣀⣀⣀⡠⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠖⠒⠒⢦⣄⠀⡇⠀⠀⠀⢸⠀⠀⢀⡤⠴⠒⠾⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠈⠀⡇⠀⠀⠀⢸⠀⠔⠁⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡳⠤⣄⣀⣀⣀⣀⣀⠴⠇⠀⠀⠀⠘⠦⣄⡀⠀⠀⢀⣀⣤⠾⠃⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣶⢦⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢪⣯⢦⡈⠑⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢣⢧⢧⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⣇⠀⡇⠀⠀⠀⠉⠉⠙⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣯⢆⢷⡀⠀⠀⠀⠀⠀⣸⡤⣄⣹⣊⡁⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⡀⠀⠀⢠⣤⠿⣶⣿⣿⣶⣭⣭⣍⣓⠖⠦⣤⣀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⣿⣯⣡⡇⠀⠀⠀⣸⠋⠉⠉⣻⡗⠛⠛⠫⠿⢿⣖⣢⣬⣉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣶⣋⡭⢿⣿⣷⣼⠇⠀⠀⢿⠀⢀⡠⠋⢇⠀⠀⠀⠀⢀⡏⠙⠒⢻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⠴⠚⠉⢈⣥⠴⠚⣻⣿⠁⠀⠀⠀⠀⣽⠉⣄⣀⡈⠓⠤⣀⣠⠞⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡥⠴⠒⠉⢁⣠⣴⠿⣯⠁⢣⣀⣀⣠⣤⣿⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣤⣤⢖⡯⠛⠉⠀⠀⠈⢳⣰⣇⣠⡏⢀⣼⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⢹⡋⠁⠀⠀⠀⠀⢰⡦⢾⠋⠀⣿⠀⠻⣅⢻⠭⢿⣷⡖⢲⣶⣒⣿⣿⣿⣧⣭⣿⡿⠷⠒⣋⣿⣿⣿⡿⠟⠛⢳⠀⠀⠀ ⠀⠀⠹⣆⠀⠀⠀⠀⠀⢷⠸⡄⠀⣿⣀⠀⠸⡿⡆⢠⠿⣾⣾⣳⠀⢹⣯⣿⣿⣿⣧⣴⡲⠯⠛⠋⠉⠀⠀⠀⠀⠈⡆⠀⠀ ⠀⠀⠀⠈⢣⡀⠀⠀⠀⠘⣇⣧⠀⡟⠿⢍⣻⣇⣳⡞⢸⣿⣿⣿⣄⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠸⡼⡀⡷⣾⣿⣧⡬⣿⡟⠛⠹⣿⣿⡟⢽⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡆⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⠴⠟⠻⡇⣏⢸⠉⡇⢽⡇⢰⣖⣿⣧⠀⢸⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠚⢉⡠⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠙⠻⠼⠀⣿⡇⢸⠉⡏⢹⠀⢸⠀⢸⣦⡤⡤⠤⠤⠖⠚⠉⢉⣉⠤⠖⠊⠁⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⡟⡇⠸⢤⣧⡼⠀⢼⠀⠀⡏⠚⠚⠓⠲⠚⢹⡏⠉⠁⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⠙⠒⠤⣄⣟⡇⠀⠀⠀⠀⠀⣿⠀⠀⡇⠀⠀⠀⠀⠀⢺⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣉⠒⢤⣀⠈⠑⠲⣤⣀⠀⠀⡿⠀⠀⡇⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠙⠒⢬⣯⢽⠲⠤⢌⣉⠒⡿⠖⢺⣇⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⠉⠉⠉⠒⠦⢄⣉⢑⢚⡿⠋⠉⠙⠒⠒⠤⣾⠀⣀⡀⡀⠀⠀⠀⢀⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠈⠉⠁⠙⠲⢤⣄⡀⠀⢠⠃⠀⠈⠉⠉⠙⠛⠛⣯⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡙⠛⠒⠢⠤⢤⣀⣀⠀⠀⢸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⡀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠉⢦⣦⣀⡠⢀⣀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢌⡿⠶⠞⠋⣁⣤⡷⣄⡀⠀⠀⠀⠀⠀⠀⢀⡴⣫⢾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠚⠉⠀⠀⠙⠢⣈⠑⠦⣀⠀⣀⣔⢽⡫⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣀⣉⣡⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠋⠓⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠖⠛⠉⠀⣀⡤⣦⠤⣄⡀⠀⠉⠑⠲⢤⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠛⠛⠉⠉⠉⠀⠀⠀⠀⢰⡟⡕⠋⠉⠙⢲⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡹⢤⡀⣠⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢬⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠧⠖⠶⠤⢤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠁⠈⠉⠳⣦⡤⠤⠶⠶⠶⠖⠒⠒⠒⠒⠚⠛⠚⠛⠛⠋⠋⠉⠉⠉⠉⠉⠙⣏⣀⣴⣶⣶⣤⣀⠀⠈⣆ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⢠⣶⣿⣿⣿⣷⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⣼⠇⢠⣿⣿⣿⣿⣿⣿⡿⣶⠶⠶⠶⠖⠒⠒⠒⠒⠒⠒⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣹⠟⠿⣿⣿⣿⣿⣿⣿⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠘⣿⣿⣿⣿⣿⠟⠀⠀⠙⠲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠋⠀⠀⠀⠈⢿⣿⣿⡿⠃⢀⡞ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠈⠛⠿⣿⠃⠀⣀⠤⠒⠦⢤⡀⠉⠉⠓⠒⠒⠒⠒⠒⠒⠒⠒⠋⠉⢁⡴⠶⣿⣿⣷⣦⡄⠀⢿⡉⢀⡠⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⠏⢀⡞⠁⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡅⠀⣸⣿⣿⣿⣿⡆⠈⢿⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢸⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠘⢦⡀⠀⠀⠀⢀⣴⠃⠀⠀⢀⣠⠤⠤⠦⠤⠤⣄⠀⠀⠹⢿⣿⣿⣿⣿⡿⠋⠀⠀⢸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠙⠒⠒⠒⠋⠁⠀⢀⡔⢋⣤⣶⣶⣶⣶⣦⡀⠑⢄⠀⠀⠉⠉⠉⣃⣄⣀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⢀⡴⠚⠓⢦⡄⠀⠀⡞⢠⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⢧⠀⠀⢀⡜⠁⠀⠈⢣⠀⢸⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢸⠀⠀⠀⠀⣧⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⢸⠁⠀⠀⠀⢸⢀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡖⠛⣧⠀⠀⠀⠀⠸⡄⠸⡀⠀⠀⢀⡟⠀⠀⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡏⠀⠀⠘⡆⠀⠀⢀⠟⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⢹⠀⠀⠀⠀⠀⠘⢆⠙⠦⠤⠞⠁⠀⠀⠹⣄⠙⠿⣿⣿⣿⣿⠿⠋⢠⠞⠀⠀⠀⠀⠈⠓⠚⢉⡞⠁⠀⠀⠀⠀⠀ ⣀⠠⣄⠀⠀⣀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀⠀⠈⠙⠶⠤⣄⣀⡤⠴⠚⠁⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⢃⠀⣯⠁⢀⣀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠤⠟⠉⠀⠀⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠛⠲⢶⡤⢤⣀⣀⣀⣤⠤⣤⠶⠖⠊⠉⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠋⠀⡀⠀⠘⣇⡴⣅⠀⢀⡼⢦⣿⠀⠀⠀⡄⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣄⣼⡷⠒⠲⣤⣤⠴⠒⠋⠉⠀⠀⠀⢰⠁⠀⠀⠉⠀⢹⠓⢺⡇⢈⡭⢶⣦⡄⢱⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣟⠁⣸⠀⢠⠄⣿⠘⡆⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⣾⠀⠀⣇⠀⠻⣼⣿⠇⠈⣇⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡏⠉⠙⢦⡞⠀⣿⠀⡇⠀⠀⠀⠀⠀⢀⣧⣠⣠⣤⡄⠀⣿⠀⠀⢸⠀⣤⠬⠧⡤⠤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀ ⠀⠀⠀⠀⠀⠈⡗⠒⠒⢫⡇⠀⡿⢰⠃⠀⠀⠀⢀⣰⢿⣇⣾⣠⣧⣿⠀⣗⣒⣶⣿⡀⣿⣦⣴⣷⣦⣾⡷⡀⠀⠀⠀⠀⠀⠀⢀⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠙⣗⠒⣏⡠⠞⠒⠚⠒⠒⠒⠚⠉⠁⢸⢻⠛⢹⠀⢹⢰⠋⠀⠉⠉⡇⢿⠀⣏⠉⢹⠈⡇⠹⣦⣀⣀⣀⣤⠔⣋⡼⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⡤⠼⠶⠾⢹⠀⠀⠀⠀⢧⠸⠧⠿⠷⠽⠾⡇⠀⣸⠯⠭⠥⠒⠛⠉⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⠤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⣄⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⣇⠰⣇⠀⣄⠀⢀⡀⢠⡄⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠦⣄⡀⠀⠀⠀⠈⠳⠴⠋⠀⠀⠀⢀⣀⡤⠴⢿⠀⠈⣏⠈⠀⣾⣀⡼⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠈⠙⠓⠒⠒⠒⠒⠒⠒⠚⠛⠉⠀⠀⠀⢸⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠴⠒⡏⠹⡗⠲⠆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢳⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡷⠒⠒⠲⣄⡀⠀⢰⠇⠀⠀⠀⡇⠀⠀⢀⡤⠴⠖⠺⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠉⠀⢸⠀⠀⠀⠀⢻⠀⠐⠁⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣤⣀⡀⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠸⣤⣀⠀⠀⠀⠀⠀⢀⣀⣼⠇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⢡⡢⢄⠀⠀⠀⠀⢀⡄⠒⠀⠐⠂⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠘⣿⣶⡕⠦⠤⠴⡁⠈⠒⢄⠀⠀⠀⠈⠢⠀⠀⠀⠀ ⠀⠀⠀⠀⣆⢟⣁⢀⡀⠀⠀⠈⠢⢄⠀⠉⠢⡀⠀⠀⡆⠀⠀⠀ ⠀⠘⡉⢩⡿⣷⣶⣶⣾⢢⠀⢀⠆⣿⣵⣦⡀⠈⠐⢄⡇⠀⠀⠀ ⠀⠀⡐⣆⠇⡇⢠⣾⣿⠀⠀⢸⠀⣿⣷⡆⠙⢱⢄⠔⠁⠀⠀⠀ ⠰⣊⠀⡏⠤⢔⡂⢙⠯⢚⣶⣲⡷⣌⠻⠥⢊⠤⢽⠉⢢⡄⠀⠀ ⠀⠀⠁⠃⠀⢀⠄⡎⠀⠀⠙⠋⠀⠈⡞⢍⠀⠀⡸⠊⠁⠀⠀⠀ ⠀⠀⠀⠈⢄⠃⠀⠱⠀⠀⠀⠀⠀⢀⠇⠀⢢⠔⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠠⠴⣄⡀⠁⠂⠤⠤⠐⠁⣠⠔⠉⠀⠀⠀⢠⣻⢻⡇ ⠀⠀⠈⠉⢱⣴⣎⢻⠛⠻⠿⠿⠟⠛⣋⣦⣀⠀⠀⠀⡈⡄⠈⠀ ⠀⠀⢀⠔⠁⠈⠻⡿⣿⣿⣿⣿⣿⡿⣿⠋⠀⠉⠐⡉⡗⢧⠀⠀ ⠀⢠⠃⠀⠀⢀⠔⣷⣤⣤⣤⣤⣤⣴⡟⠢⢄⡀⡌⢟⠭⡝⠀⠀ ⠀⠘⡆⡄⣀⡹⢆⡏⠛⠛⠛⠛⠛⠉⣁⠀⠀⠀⠉⡚⡏⠀⠀⠀ ⠀⠀⠀⠑⠚⠁⠸⠈⠑⠒⢒⡒⠂⠁⠘⡀⠀⠀⠀⠷⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⠀⠀⠈⠇⢋⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠠⢀⠀⢰⠀⢸⠀⢀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡎⠀⠀⠀⠑⡸⠀⠘⡔⠁⠀⠀⢙⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀

⣴⣶⢶⣤⡀⢠⣷⣶⣤⣄⢰⣶⣶⣦⣄⢰⣶⡆⠀⢰⣶⣶⣶⣶⠐⣶⣦⣤⣶⠖ ⣿⣿⢾⣿⡃⣼⣿⣉⣿⡟⢸⣿⡷⣿⣯⢸⣿⡇⠀⢸⣿⣏⣿⣿⠀⢈⣿⣿⣏⠀ ⠛⠛⠈⠛⠛⠉⠛⠻⠿⠃⠘⠛⠛⠛⠛⠘⠛⠛⠛⠘⠛⠛⠛⠻⠐⠛⠛⠙⠛⠂

⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣴⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣿⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡄⠀⠀⠀⠀⠀⠀⢠⣿⢋⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣦⡤⠶⠶⢦⣤⣿⣇⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣯⣹⡍⣹⠋⢻⣾⣭⡗⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⣽⣷⣞⣿⣳⣶⣖⣿⣿⡟⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⢹⠛⣿⣿⣿⡿⢿⣿⣿⣿⡥⠖⠚⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣖⠋⠉⠉⠓⢾⡇⠻⠿⢿⠃⠈⡿⢻⠏⠀⠀⠀⢀⣠⣽⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⢰⠇⠈⠉⠒⣦⢶⣋⣷⣀⣀⣀⣹⣯⣠⡼⠲⣤⠴⠚⢉⡼⠁⠹⣷⡀⠀⠀⠀⠀ ⠀⠀⣼⣀⠀⠀⠀⣿⠀⠀⠈⠉⠙⠓⠲⠤⣤⣤⣾⡡⠤⠒⠻⣄⠀⠀⠘⢿⡄⠀⠀⠀ ⠀⡼⠁⠈⠙⠢⣴⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⣅⠀⠀⠀⠀⠘⢦⡀⠀⣨⢷⠀⠀⠀ ⡾⠣⣄⡀⠀⢠⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⢆⠀⠀⢀⣀⡤⢷⠋⠀⠈⣇⠀⠀ ⠙⠢⣄⠙⢲⡮⣀⣸⣀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⢷⠊⠉⠀⠀⠀⢧⠀⠀⠘⡆⠀ ⠀⠀⠀⠙⠛⠒⠒⠾⣿⡝⠲⣶⣤⣤⣀⡀⢸⠀⣀⡀⣼⣇⠀⠀⠀⢀⣸⣦⠔⠒⢻⡄ ⠀⠀⠀⠀⠀⠀⢠⠞⠁⠈⠳⣼⡉⠉⠓⠺⡿⠛⠛⠉⠉⢹⡤⠖⠋⢁⣠⣾⡶⠟⠋⠁ ⠀⠀⠀⠀⠀⢀⡿⢦⡀⠀⣰⡟⠈⠑⠢⢤⣇⠤⠔⠒⡿⠉⠳⠶⠛⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠳⣄⠑⣶⢡⠇⠀⠀⠀⡾⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠈⢻⠋⢛⡶⢤⣀⡸⠁⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡷⣄⢸⠀⠘⡟⠲⢬⡽⠂⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠾⣿⣶⣒⣿⡀⠀⢹⡀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢷⣄⡀⢳⠀⢀⣴⡾⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢍⣻⢗⣩⠵⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢠⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⠛⠻⠿⢿⣿⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣶⣦⣤⣄⣀⡀ ⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣿⠃ ⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⢠⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀ ⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⣼⣿⠿⢿⣿⣶⣶⠀⠀⠀⠀⠀⣾⣿⠁⠀ ⠀⠀⢸⣿⡇⠀⠀⠀⠀⢠⣿⡏⠀⠀⢸⣿⡇⠀⠀⠀⠀⢠⣿⡏⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠾⢿⣿⣷⣶⣿⡿⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀ ⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠃⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀ ⢀⣿⣿⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀ ⠈⠉⠛⠛⠿⠿⣿⣿⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⣦⣤⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠇⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣷⣄⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡻⢮⣛⠏⠛⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⢦⣉⠁⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⣀⣀⣬⢥⣀⡀⠀⢀⣀⡀⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢸⠙⠻⠮⣝⡯⢽⣻⠷⠟⠋⡇⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢸⠀⠀⠀⣶⣧⣤⣷⣦⠀⠀⡇⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣸⠀⠀⠐⠿⠇⠙⠿⠏⠀⢸⡇⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⢀⣀⠀⠀⠀⠀⠀⢸⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⢸⠀⠀⠈⢻⡝⠒⡲⠂⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⣠⣴⣶⣟⣏⠁⢀⣨⠿⠛⠉⣷⣤⡤⣄⣈⣋⣀⣤⡶⠟⠉⠉⢉⣿⡦⠤⢤⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⢸⣧⣠⣀⠉⢹⠉⠉⠙⢲⣟⠛⠚⠛⠛⠯⢽⡮⠥⠤⠤⣤⣖⣕⣁⡀⠀⠀⠀⠀⠀⠀⢡⣿⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠈⣷⣬⠭⣍⣛⡇⠀⢀⡟⢵⠦⣀⡀⠀⠀⠈⢣⠀⠀⠀⢸⢻⠉⠉⠉⠉⠉⠙⠒⠒⠒⣾⡟⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⢻⡯⣍⣛⣷⣧⢠⡞⠀⢸⠀⠀⠉⠓⠦⣄⣀⣧⠀⠀⢸⢸⣉⣑⠒⠲⠶⠶⣦⣤⣀⣧⡇⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⢸⡿⠭⠷⣞⣻⠏⠀⠀⡸⠀⣤⢤⡀⠀⢰⡇⠀⢳⡀⣮⣼⠤⣬⣉⣩⣓⡒⠒⠒⢤⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠉⡆⠀⢀⣇⠀⠙⠚⠃⠀⡞⠀⠀⠀⢻⣿⡿⣶⣒⣶⣾⠯⣭⣉⣓⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⣇⠀⠀⠉⠑⠦⣄⡀⢰⠃⠀⠀⠀⢸⢿⡟⠶⠶⠬⣿⣏⣙⠛⠶⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⣤⣀⣀⢸⡀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⢸⠈⡇⠀⠀⠀⠀⠀⠈⠉⢉⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠹⢛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢀⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⡇⠉⠙⠲⣦⢄⣀⡀⠀⠀⠀⠀⣇⢸⣇⠀⠀⠀⠀⠀⠀⠀⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⢽⠀⠀⡏⠉⠙⠒⠺⠿⢿⢻⣙⣳⡒⠢⠤⢄⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⡇⠀⠀⠀⠀⠀⣿⢺⠉⠁⣿⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣏⠀⠀⡇⠀⠀⠀⠀⠀⡇⢸⠃⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⡿⠀⢀⣇⠀⠀⠀⠀⢸⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣅⠉⠲⣄⣧⢴⡿⡟⠀⠀⠀⠀⢸⡇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣠⡾⠋⢀⣧⣀⣀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠸⠧⣄⣈⠉⠉⢛⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠿⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣿⠿⠶⠶⠶⠾⠿⠶⢾⣷⡶⠿⢷⠷⣶⣶⡶⢶⠶⠶⠶⠶⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⡀⡀⡀⡀⡀⣀⣀⢀⢀⢀⢀⢀⢀⣀⡀⡀⡀⡀⡀⣀⣀⣀⢐

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠶⠒⠒⠉⠉⠉⠉⠉⠉⠉⠉⠛⠲⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⢀⣀⣠⠤⠤⢴⣶⣶⣶⣶⣶⠶⠒⠒⠒⠒⠒⠒⠒⠒⠉⠉⠉⠉⠉⠉⠉⠉⠉⣩⢽⣿⣿⠿⠿⣭⡉⠉⠉⠙⢦⡀⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⢰⠏⠀⠀⣠⠞⣩⠿⠒⠒⠛⠻⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⠛⠉⠉⠉⠙⠲⣤⠙⣦⠀⠀⠈⢳⣀⡴ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⣶⡟⠀⠀⡾⢁⡞⠁⠀⠀⠀⠀⠀⠀⠙⣷⠀⠀⠀⢀⣠⣤⣴⣤⣄⡀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠈⢷⠘⣇⠀⠀⠘⡇⠀ ⣽⠛⠿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⢠⡇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣀⡴⠚⠁⠀⠀⠀⠀⠀⠉⠳⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⣿⠀⠀⠀⢹⠀ ⠈⠻⣦⡀⠙⢷⣄⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠘⣇⢸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⡿⠀⠀⠀⢸⠀ ⠀⠀⠈⠙⢦⣠⡾⠃⠈⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠹⣎⠻⣄⣀⣀⣀⣀⣠⠴⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⣀⣀⠀⠀⣀⣤⠾⢁⡾⠁⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠈⠓⠾⠯⠭⠭⠭⠷⠚⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠙⠿⠯⢭⢭⣭⠤⠾⠋⠀⠀⠀⠀⠀⡏⠀ ⠀⠀⠀⠀⠈⠙⠳⣄⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣳⣄⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠋⠻⣯⡿⣤⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣠⠞⢋⣡⡤⢤⣬⡙⠓⢦⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀ ⠀⠀⠀⢀⣰⠟⠁⠀⠀⢀⡿⢬⣿⣦⡀⠀⠀⠀⠀⠙⣦⣄⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⣿⡞⢡⡞⠉⠀⠀⠀⠀⠉⠳⡆⠹⣾⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⣷⠀⠀⠀⣴⠟⠀⣼⣯⠾⠿⢦⡀⠀⠀⠀⢨⣿⣇⡀⠀⣡⡉⠓⠶⣄⣀⣀⠀⣸⣿⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢹⡇⠀⠀⠀⣀⣠⠴⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⠶⣤⠾⠁⠀⠀⢿⣿⣦⣀⣀⣿⡤⢶⣶⡿⠱⢮⣳⡾⠉⣹⠂⠀⠀⣩⡿⠛⢺⣗⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡷⠖⠛⠉⠙⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠈⠙⣿⡟⢛⣉⠉⢻⣀⣠⡟⣠⡞⠁⠀⣠⠞⠁⢡⠀⠀⢿⡈⢧⡀⠀⠀⠀⠀⠀⠀⢠⡞⢀⡞⠀⢠⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠛⢶⡿⢳⣿⡇⠀⠸⢧⣍⠓⠋⠀⢀⡴⠋⠀⠀⣿⠀⠀⠈⣷⣄⠙⠦⣤⣄⣠⣤⠴⠋⢠⡼⠁⠀⠈⣇⠀⠀⠀⠀⠀⠀⠉⢳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠛⠋⣠⠏⠈⠃⠀⠀⠀⡟⠛⠳⠤⠟⠀⠀⠀⠀⡏⠀⠀⠀⣿⠈⣿⠒⠦⠤⠤⠤⠴⣿⠋⡇⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣀⣾⠁⠀⢀⣠⡄⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⢶⠇⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⡇⠀⠀⠀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⣏⢁⣀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢻⠀⣿⠀⠀⠀⠀⠀⠀⢻⠀⢿⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⣀⣀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⡟⢷⡀⠀⢀⡴⠖⠋⠉⠉⠉⢻⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣤⣄⣀⣤⡴⠛⠋⣿⠀⠀⠀⠀⢸⠀⢿⡀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⣧⠀⠹⣾⠋⠀⠀⠀⠀⠀⠀⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣼⠀⢸⡇⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⢀⣿⠀⢤⡿⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠶⠦⠤⣼⠀⢸⣧⣀⣀⣀⣀⣠⣾⡇⢸⣧⡤⠴⠟⣿⠀⣿⠀⢠⣄⠀⠀⠀⠀⢰⣠⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠓⠶⠶⠤⣄⣠⣀⣈⣉⣉⣉⣉⣉⣀⣠⣤⣤⡴⠿⠟⢿⠀⠈⢿⠉⠉⠀⢀⣇⢀⡼⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⢾⡄⠀⠈⠳⠶⠶⠛⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⡀⠀⠀⠀⠀⠀⠀⠉⢁⡟⠀⠸⣇⠈⠀⠀⠀⠀⠀⠀⠀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠛⠳⠶⠶⠶⠶⠾⢻⡇⠀⠀⢿⠙⠛⠛⠶⠶⠛⠛⠋⠉⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⣤⣀⣀⣀⣀⣀⣀⣴⡟⠀⠀⠀⠈⣷⣄⣀⣀⣀⣀⣀⣀⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣤⣤⣤⣤⣈⠀⠀⠀⡇⠀⠀⠀⠀⢹⠀⠈⠉⠉⠉⣉⣤⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠛⠁⠀⠀⠀⠀⠈⠛⠆⢠⡇⠀⠀⠀⠀⢸⡄⠀⣠⠖⠋⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡻⠶⠤⣄⣀⣀⣀⣀⣀⣀⡤⠿⠃⠀⠀⠀⠀⠘⠷⢤⣀⡀⠀⠀⠀⢀⣀⣠⠴⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠔⣿⡇⢀⣿⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠖⠛⢉⣩⣉⣛⠢⣳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣧⠊⠹⠿⠻⠀⠀⠈⣚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⡄⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠒⢈⣀⣀⣀⣸⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠗⠂⣩⠏⠐⠀⠀⢸⠀⠇⠉⡄⠀ ⠀⠀⢀⣰⠅⠇⠸⣶⠃⠀⢰⠀⢀⢾⠀⠐⡀⠘⡀ ⠀⢀⠃⢸⡄⠀⠀⣿⠀⠀⠀⢠⠏⢸⡠⠀⡁⠀⡇ ⠀⣼⣀⢸⠰⣠⠤⡟⠰⠀⠀⡞⠀⡰⠭⢁⠣⣀⠇ ⢰⡭⠒⠛⢻⠇⢰⠁⠀⠆⢸⣗⡇⠀⠀⠀⠡⣸⠀ ⢺⡄⠀⢀⣎⠀⡾⠀⠀⡄⢸⠊⠀⠀⠀⢀⠔⠁⠀ ⠀⠑⢄⢺⣤⣉⣉⣉⣉⣉⣉⣉⣒⣠⡔⠉⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⡤⠄⠀⠀⠈⠉⢡⠀⠀⠀⠀ ⠀⠀⠀⡼⠀⠀⠀⢀⡇⠘⡄⠀⠀⠀⠈⡆⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠸⡇⠀⠰⠀⠀⠀⠀⠘⡀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⢃⠀⠀⢃⠀⠀⠀⠀⠡⠀⠀ ⠀⠀⠀⢸⣀⠀⠀⠀⠀⠆⠀⠘⡀⠀⠀⠀⠀⠑⡀ ⠀⠀⡞⠁⢇⠈⠒⠀⠀⢸⠀⠀⢣⠐⠁⠀⠈⢢⢱ ⠀⠀⠉⠒⠒⠒⠒⠚⠚⠋⠀⠀⠣⠤⠤⠴⠶⠒⠚

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠒⣻⡿⣟⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⢸⠁⠀⠾⣇⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠁⠀⠀⣾⣻⡇⠘⠀⢟⣳⡄⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠞⠋⠉⠀⠀⠀⠀⠀⠀⢟⣉⣀⠴⠶⢤⣙⡇⠀⠀⠀⠉⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⣀⣀⣀⣀⣀⣀⡤⠤⠞⠛⢳⣶⠶⠶⠯⣄⣀⠀⠀⣀⣀⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⡇⠀⠀⢤⡖⠉⢨⡇⠷⠀⠀⢸⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠛⠒⠛⠀⠀⠒⠤⣸⣀⡴⠚⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠲⣄⣀⡤⠀⠀⢸⠋⠑⡆⣸⣷⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣀⡼⢡⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⢶⠲⣾⠉⠒⠒⠦⠤⠤⠤⠶⢶⡾⣏⡛⠒⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠏⣹⠀⠈⢹⠎⣻⣶⠤⠤⠤⣤⠶⣶⣞⡴⠋⢀⡤⢚⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⢸⠀⣿⠀⢠⠏⡴⠃⣸⠣⣀⡴⠁⣰⡅⢻⣀⡴⢋⡴⠋⢹⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠸⢤⣼⣠⡏⣾⠁⢀⣧⠴⠛⢧⣼⠀⠹⣤⠏⡴⠋⠀⢀⣾⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠻⣄⠀⠀⠀⢀⣼⣿⣧⡻⣆⠘⣿⣄⣠⠞⠹⣄⡜⢡⡞⢷⠀⣠⠎⢸⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⢧⡈⠙⠒⠒⠋⣰⠿⣷⡝⢮⡳⢿⠟⠁⠀⣠⣿⡶⠟⣃⣸⡶⠃⠀⢸⠀⢀⡠⠔⠚⠙⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠉⠓⠒⠒⠋⢁⡴⠃⣹⠆⢹⢸⠃⢀⡜⣡⡟⢿⠉⠉⣏⠀⠀⠀⢸⡗⢉⣠⠴⠒⠋⠉⠳⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣄⣀⣀⣀⡴⠋⠀⣰⠃⠀⢸⣸⡤⢋⡴⠁⢹⢸⡄⠀⠈⢷⡀⠀⣸⠖⠉⠀⠀⠀⠀⠀⣀⣸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢿⠁⢹⠁⠀⠀⢰⠃⠀⠀⣸⡟⣡⠏⠀⠀⢸⡆⣇⠀⠀⠈⢧⠠⣇⣀⣤⣶⣶⣿⣟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⣧⡴⠋⠀⠀⢀⡟⠀⣠⠞⢁⡾⠁⠀⠀⠀⠀⢧⢹⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠛⠛⠿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⡼⠁⠀⠀⠀⠀⠘⣧⣴⣃⣴⣻⠁⠀⠀⠀⠀⠀⠸⡌⣇⣠⠖⢻⠁⠀⠀⠀⠀⠀⣦⡀⣠⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⡼⠁⠀⠀⠀⠀⠀⢠⠇⠀⠈⠉⠉⠛⢲⡖⠒⠒⠒⡞⠛⠉⠀⠀⢸⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⢀⡞⠁⠀⠀⠀⠀⠀⠀⣾⠦⣄⣀⣀⣠⠴⣫⡟⠀⠀⢀⡇⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣤⠤⢴⠞⠉⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣼⠀⠀⠀⠀⣸⢁⣠⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠃⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣠⡇⠀⠀⠀⢀⣟⣩⣿⡇⠀⣀⣀⣀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠁⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡟⣿⣗⣫⠿⠦⣍⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠎⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠋⠁⠀⠀⠈⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠃⢀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⡀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⠥⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⢀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⠿⠿⠿⠿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⡇⠀⠀⠀⠀⠀⣾⡇⠀⠀⣼⣶⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⡟⠂⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⣠⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⣴⣶⢤⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢿⣿⣦⣀⣀⣤⣼⣿⠏⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⢀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣄⣀⣠⣤⣤⣤⣤⣤⣼⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣶⣿⣿⣧⣶⣶⣶⣶⣴⣶⣤⣶⣶⣦ ⢸⣿⠿⠿⠛⠛⠋⠉⠉⢹⣿⡏⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠻⠿⠿⠛⠛⠉⠙⠛⣿⣏⠉⠉⠉⠉⠉⠉⣿⣿ ⣼⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠈⠀⠀⠀⠀⠀⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢰⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⢸⣿⡆ ⣿⣇⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣿⣀⠀⠀⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢻⣿⠿⢿⣿⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢺⣿⣆⣀⣠⣀⣠⣄⣤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣀⣀⣀⣀⣀⣀⣽⣿⡇

⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀ ⣿⣏⢉⡉⣉⣿⣍⣉⣉⡉⣹⣯⣉⣉⣉⢉⣽⣍⡉⣉⡉⢉⣯⣍⡉⠉⣻⡿⠀ ⣿⣏⢉⣉⣙⢿⣟⣉⣉⣉⣻⣿⣋⣉⣉⣙⣿⣿⣉⣉⣉⣹⣿⣟⣉⣉⣻⡧⢠ ⣿⣿⠛⠛⠛⠛⠛⠛⣿⡟⠛⢻⣿⠛⠻⠻⣿⠛⠟⢻⣟⠛⠛⠛⠛⢛⣿⡷⠘ ⠈⠻⢷⣶⣶⣒⠒⠺⣿⡿⠒⢿⣿⠗⠒⢾⣿⠿⠲⣿⣿⠗⢒⣲⣶⣾⠟⠁⠀ ⠀⠀⠀⠉⠙⠻⠿⢶⣾⣶⣶⣤⣤⣤⣤⣤⣤⣴⣶⣾⣿⠿⠟⠛⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠆⠀⣾⡇⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⣿⠀⠀⣿⡧⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠈⣿⣆⠀⠀⠀⣠⣿⠆⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠈⠻⠷⠶⠿⠟⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣤⣤⣤⣤⣤⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣿⣧⣤⣤⣤⣤⣤⣤⣤⡄ ⠀⣿⡟⠋⠉⠉⠉⠉⣿⡇⠀⠀⠀⠈⠉⠉⠉⠉⠛⠋⠉⠉⠉⠉⣿⠀⠈⠉⠉⠉⣿⠇ ⠀⣿⡇⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢠⣿⠀ ⠀⣿⡇⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⡅⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⢸⣿⠀ ⢠⣿⠃⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⢸⣿⠀ ⢸⣿⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢸⣿⠀ ⠸⣿⡆⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢸⣿⠀ ⠠⣿⣶⣤⣤⣤⣤⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣤⣤⣤⣤⣼⣿⠀ ⠀⣿⣇⣈⣁⣉⣉⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣉⣉⣉⣉⣻⣿⠀

⠀⠀⠀⠀⢰⢀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⢻⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢶⡄⠀⠀⠀⠀⡼⣋⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⡿⢶⢖⢶⣾⣧⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠴⣿⣿⣣⣆⣿⣗⠆⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⠄⠒⠤⣇⠿⠿⠙⡿⡟⠉⠀⢈⣆⠀⠀⠀⠀ ⠀⢀⠃⠈⢰⠊⠹⠤⢌⡛⠐⡱⢒⡈⡎⠈⢧⡀⠀⠀ ⢀⠌⠉⠂⡜⠀⠀⠀⠀⠀⠉⢏⠀⠀⠐⠄⡀⢧⠀⠀ ⠚⢍⠢⣴⣀⡄⠀⠀⠀⠀⠀⠀⢢⠄⠂⠉⡄⠀⢆⠀ ⠀⠀⠈⠁⢐⠟⢝⡲⠶⣤⣤⡤⠰⢆⣀⠠⢸⣂⡩⠄ ⠀⠀⠀⢀⡧⡀⢠⡏⠒⢠⠧⠄⠲⠘⠒⠚⠋⠁⠀⠀ ⠀⠀⠀⠈⡈⠪⠳⡄⡀⠎⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢗⣴⡈⡇⠒⡃⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠹⣄⣱⣀⡤⢾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢰⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣶⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣾⣶⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⢀⣴⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣦⣀⠀ ⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁

⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⢀⣰⣾⣿⣿⣿⡿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⣠⣾⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣦⣀⠀ ⡻⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⠐ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡦⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠏⠀⢀⣀⣀⣠⣤⣾⣿⣿⣿⣿⣿⠀⠀⣀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣄⣀⠀⢀⣠⡆ ⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁ ⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣴⠄ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡟⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠙⠛⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⠿⠛⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠙⠿⠂⠀⠀⠀⠀⠀⠀⠀⢺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿⠶⠶⠾⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠳⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠿⠒⠒⠶⠶⠶⠤⠤⢤⣄⣈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠒⣚⣉⣉⣉⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢠⣤⣤⣤⡀⠀⠀⠀⣤⣤⣤⡄⠀⠀⠀ ⠀⠀⠘⢿⣿⠏⠀⠀⠀⠀⠻⣿⠿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀ ⢀⣴⡿⠿⠛⠛⠉⠉⠉⠉⠛⠛⠿⠿⣷⣤⡀ ⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠴⠒⠒⠒⠤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠒⠋⠉⠉⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠈⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢀⣀⡠⠤⠤⠴⠒⠤⠤⢄⣀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⠼⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⢀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠈⠳⣄⠀⠀⠀⣠⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⢀⡴⠋⣠⣾⠿⠻⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⢷⡀⠈⠳⡴⠚⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣤⠞⠀⢰⣿⡁⠀⢀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⢱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠘⢿⣿⣿⣿⡿⠟⠀⠀⠀⣀⣀⣀⣀⠀⠀⠙⠿⣿⣿⡿⠃⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⣠⠴⢦⡉⠉⠁⠀⢀⡤⠖⠉⠀⠀⠀⠀⠉⠓⢤⠀⠀⠀⢀⡴⠦⡄⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢰⠃⠀⠀⢷⠀⠀⣰⠋⢀⣀⡀⠀⠀⠀⢀⣤⣄⠀⢳⡀⠀⡞⠀⠀⢹⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠘⣆⠀⢀⡾⠀⢀⡇⠀⠸⣿⡿⠀⠀⠀⠘⢿⣿⠂⠀⡇⠀⢳⡀⠀⣸⢀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠈⠓⠉⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠈⠉⠀⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠈⠑⠦⣄⣀⠀⣀⣀⠤⠖⠁⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣀⣤⢾⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢹⠓⠦⠤⢄⣀⣀⣀⣀⣀⣀⡠⠤⠒⠋⠁⢸⠀⠈⠲⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠙⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⣼⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⢦⠀⠀⠈⢣⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⢠⠞⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⢳⡀⠀⠀⠻⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⣴⠿⠖⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢹⠀⠀⠀⢷⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠤⠖⠚⠋⠉⠉⢻⡀⢰⣧⠤⠖⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠸⣤⣾⢀⡞⠀ ⢀⣤⠶⠒⠚⠉⠉⠁⠀⠀⠀⠀⠀⣀⣠⠴⠞⠳⠟⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠉⠉⠀⠀ ⣼⠁⠀⠀⠀⠀⢀⣀⣠⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀ ⠘⠦⠤⠴⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⢸⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠘⡆⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢳⠀⠀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⣇⠀⢀⣸⠗⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠾⠤⣤⣤⠤⠴⠒⠛⠓⠒⠒⠦⠤⠤⠞⠒⠉⠁⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⡄⠒⣒⡉⠁⠀⣷⣍⣓⣛⡀⡔⢒⣑⠢⡇⠀⣇⠖⠀⠐⡤⢄⡠⠊⠀⡰ ⠇⠀⠧⠊⠀⠀⢸⢀⠀⠀⠹⡇⠘⢚⡠⠇⢀⠹⠰⡉⢸⢱⡌⠀⡠⠊⠀ ⠀⠀⠰⡀⠙⣖⡇⠸⡨⠅⠀⢱⢠⡀⢹⠆⣸⣸⣄⠗⢫⠎⠀⡀⠈⠐⢄ ⢸⡀⠀⡷⡀⠈⠳⣄⣀⣀⠀⠴⣲⣶⣿⣲⡤⠓⠛⠒⠒⠓⠚⠈⠢⡐⠁ ⠀⠈⠁⠃⠓⠐⠒⠚⠀⠀⣠⣾⢿⢮⢿⣹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠿⠍⣿⡿⠤⠿⠿⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠷⠻⡀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠦⠄⠉⢹⣌⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⢴⠂⣀⣒⡒⡿⠛⢲⡤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠚⣯⠀⠑⢿⡷⡜⢾⣁⡴⡻⠃⠐⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣐⠀⠀⠈⡄⢸⠄⠠⢿⡼⡏⡐⠀⠁⣠⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢖⠉⠉⠈⢉⣹⡺⠋⡷⠋⣏⢍⠀⠀⣜⣡⣴⡁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣴⢾⣏⡉⣹⠿⣒⠒⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡞⠏⠀⠀⠈⠐⠌⠛⠧⠀⠀⠉⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡏⣸⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣇⣉⣇⠀⢠⢾⣿⣻⣿⡏⠻⣿⣼⣿⣀⣀⠀⠀⠀⠀⠀⣀⣀⣷⠀⠀⣹⣹⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⣿⠼⠿⠿⠶⠶⠦⠾⢿⡿⠉⠉⠙⠛⠛⢿⡟⠁⠈⠉⠉⠒⠛⠻⠗⠛⠿⣷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⣤⣤⣿⡿⢄⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⢀⣨⣷⡤⢤⣀⣀⣀⡀⠀⠀⠀⣾⠉⠀⠉⢹⡿⠓⢶⣶⣾⣿⣿⣀⣀ ⢀⣤⣴⣿⣿⣭⣿⢉⣽⣷⣌⢳⣄⣀⣀⣀⣤⣴⡟⢿⣶⣶⠶⢞⣉⣹⣻⡇⣼⣵⣿⠈⢹⢻⡉⠓⠳⠤⠤⠤⠿⠷⠤⢤⣠⣀⠈⠙⢻⣿ ⣿⣉⣸⣿⣿⡟⠛⠉⠉⢷⣤⣽⠿⠿⠟⠛⠛⠉⠉⠉⠀⢹⠀⠀⠈⡏⣻⠁⢿⢻⣿⡀⠈⡆⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙ ⡷⠚⠉⠀⠘⣇⠀⠀⠀⠈⢿⠀⠀⠀⠀⣀⣀⣀⣤⣴⡄⢸⠀⠀⠀⠇⣿⠀⢸⢸⠀⢧⠀⢱⣈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡄⠀⠀⠀⠘⡄⠀⠀⠀⠸⡀⢸⣿⣿⣿⣿⣿⣿⣿⡇⢸⣄⣀⣰⡇⡍⠙⠋⢸⠀⠈⠷⠟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⢧⠀⠀⠀⠀⢳⠀⠀⠀⠀⢣⣾⣿⣷⣶⣿⣿⣛⣻⣷⣿⠀⠈⠉⠉⠋⠉⠓⠾⠤⠤⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠘⡄⠀⠀⠀⠀⢇⠀⢀⣠⠼⣷⠶⣾⣿⣿⡿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢹⡀⠀⢀⣠⣼⣿⣉⣀⡴⢿⣯⣽⣿⣿⣿⣉⠽⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⡀⢸⢷⣾⡿⠟⣋⣿⡶⠖⠒⢾⠛⠉⠻⣞⣃⣀⣠⣤⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠻⠽⣿⣧⠖⠋⠁⠈⣧⣀⠤⠼⢷⣾⡿⠟⣿⠋⠉⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣄⠤⠒⠉⠘⣆⣀⣠⢤⣾⡇⠀⣧⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⢀⡠⠔⠚⢫⠀⠀⠀⢹⣧⡤⠏⣧⠀⢀⣀⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠋⠁⠀⠀⠀⢸⠀⠀⢀⣏⣀⠴⢾⠿⢿⣙⣏⣻⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠇⠀⠀⠀⠀⢠⠏⠀⢀⣾⡟⠁⠀⠘⣦⣿⠋⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⢺⠉⢳⢀⣴⠿⠖⠚⢉⡟⠻⡀⢺⣹⢻⣿⣄⡤⣴⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⠿⣮⡓⣣⢾⣏⣀⣤⣴⡿⠀⠀⣹⣦⣴⣿⠟⡧⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠁⠀⠀⣉⠀⠀⠀⠀⡇⠿⠟⠛⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢦⡀⠀⠀⡼⠹⠛⠛⣹⠃⠀⠀⠀⢹⠀⠀⠀⠀⠇⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠢⣼⣡⠤⣖⡚⠁⠀⠀⠀⠀⠘⠓⠒⠒⠒⠒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠉⠉⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⠉⠛⠛⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣤⣄⣀⣀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡏⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣧⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠸⠿⢿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⢠⠴⡮⢍⠢⢄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣯⢆⠀⠀⠀⢸⣀⢣⠜⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣿⠆⠀⠠⡾⣾⣿⣯⣥⣖⣂⠠⢀⡘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣔⡻⣿⣷⠀⠀⡇⢀⠾⡀⠀⠉⡛⠛⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣊⠡⠒⣢⡽⢇⠀⠀⣸⠑⠢⠈⠒⠒⠁⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢧⣤⠖⠋⠁⠈⣬⢯⠏⡽⣄⣀⠀⠀⠀⣀⣸⣀⣀⠀⣀⣀⣀⣠⣄⠀⠀ ⠀⠈⢦⠀⠀⠀⢏⡇⢸⡀⠱⣯⢙⢯⡽⠓⣟⣿⣿⣫⣭⠶⠛⠋⠁⠘⡀⠀ ⠀⠀⠀⠡⡀⠀⠈⣴⢸⣻⣽⢾⣎⣾⣿⡧⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀ ⠀⠀⠀⠀⠈⠢⠤⠽⢺⢌⡗⢘⡇⣶⣿⡅⡇⡆⠀⠀⠀⠀⢀⣀⠠⣒⠽⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠉⢸⡇⢇⣏⠀⡇⢸⠶⠖⠈⢭⠤⠒⠈⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢇⠂⠼⣇⠀⠉⠀⡇⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⢨⠓⠨⣶⣦⠭⣒⠠⡧⢼⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠉⠒⠨⠭⢏⡀⠉⠐⡞⠠⠤⢤⣤⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠁⡒⠂⠠⠤⠀⣀⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢟⢢⣄⢀⣀⡇⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠭⠐⠺⡂⢄⠀⠀⣀⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠨⠩⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⡗⠀⡇⠀⠀⠀⣽⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⣤⠁⠀⠁⡀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⠀⠘⠧⣤⠴⠋⠀⢠⡇⠀⠀⠀⠀ ⠀⡤⠶⠶⠶⣿⠷⠶⠶⠶⠶⠶⠶⠿⢷⡶⠶⠶⣶ ⢰⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⣿ ⢸⡇⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿ ⢸⡇⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣯ ⢸⡇⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿ ⠈⣟⣛⣛⣛⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣒⣒⣺⣿

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⣷⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⣷ ⣿⣿⣿⣿⣿⣿⣿⠏⣼⠉⢻⣿⣿⣿⣿⣿⣿⠏⣸⡟ ⠈⠿⣿⣿⣟⣋⣡⡼⠋⠀⠈⠻⢿⣿⣿⣋⣡⣴⠟⠀ ⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠷⠶⣶⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀

⠀⠀⢀⣤⡀⠀⠀⢀⣤⡄⠀⠀⠀ ⠀⠀⣿⣿⡗⠀⠀⢾⣿⣿⠀⠀⠀ ⠀⠀⠘⠛⠃⠀⠀⠈⠻⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀ ⡯⠭⡿⠭⢽⡯⠭⣿⠭⢭⡯⠭⡇ ⠯⣭⡭⢽⠭⣿⠭⡯⢽⡯⣭⡽⠃ ⠀⠀⠉⠉⠛⠛⠛⠛⠋⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠀⠀⠀⠀⠀⣀⠤⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⡠⠗⠒⠒⠒⠒⠡⡀⢀⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣶⡾⠷⡒⢦⠤⢤⠴⡲⠾⡻⡦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢲⡹⡀⣀⣦⡮⢤⣤⣻⣇⣀⢎⢷⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠒⡍⡽⠁⢰⡿⣿⡆⠙⡍⠈⢲⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠓⠁⡇⠀⠀⠉⠁⠀⠀⡇⠈⡹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠑⢄⠀⠀⠀⣀⠔⢁⡰⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⢹⠑⠂⠬⠭⠭⠐⠂⠉⠙⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⡜⡄⠀⠀⠀⠀⠀⠀⠾⡀⠘⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⡰⠁⠘⡀⠀⠀⠀⠀⢸⠀⢣⠀⠁ ⠀⠀⠀⠀⠀⠀⠘⡶⡄⡰⣗⠆⢠⣃⣀⣀⣀⣀⣸⠀⢠⢃⢸ ⠀⢀⡀⠠⠄⠒⢊⡱⣹⠛⠊⠀⢸⠀⠀⡆⡆⠀⠘⠀⠈⢹⡿ ⢠⡏⠀⣀⠤⠂⠁⠀⠉⠀⠀⠀⡀⠀⠀⡇⡁⠀⠀⡇⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠇⡇⠀⠀⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠇⠀⠀⠸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠤⠤⠴⠀⠰⠤⠤⠤⠇⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠋⣀⣤⣤⣴⣿⣿⡇⢀⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⠆ ⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣫⠄ ⠀⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⣿⣿⣿⣿⣿⣿⠀⠉⠉⠉⠉⠛⠿⠿⠟⠋⠉⠻⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⣿⣿⣿⡿⠿⠋⠀⠀⠀⠐⡆⠀⠀⢰⡄⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⣧⠀⠀⠸⠇⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀ ⠀⠘⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢸⠁⠀⠀⠀⠀⠀ ⠀⠀⠱⡀⠀⠀⠀⠀⠀⠘⠒⠲⠶⠖⠒⠛⠉⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣵⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣾⡉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⢀⣮⣭⣭⣭⣭⣅⣐⣒⣿⣿⣿⣿⣿⣿⣿⣿⡿⢭⣉⣙⣇⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣦⠀⠀⠀⠀⣠⣿⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⡟⠀⠀⠀⠀⠸⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⢸⣿⣛⣛⣻⣿⣛⣛⣻⣿⣛⣛⣛⣿⣝⣛⣛⣻⣏⣉⣙⣿ ⢸⣿⣤⣤⣽⣯⣤⣤⣽⣿⣥⣤⣬⣿⣧⣤⣤⣿⣯⣤⣬⣿ ⠈⠿⣧⣄⣠⠤⣼⣿⡤⣼⣿⠌⣽⣿⡌⣼⣷⠤⣤⣠⣼⠟ ⠀⠀⠈⠙⠻⠷⠶⣿⣤⣬⣭⣤⣤⣥⣤⣼⠿⠾⠟⠋⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡝⢡⠏⠇⡜⠀⠀⣰⠋⠀⢀⠄⡼⢄⡉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠉⠓⢺⣤⠤⠶⠤⣄⣀⣠⡶⠷⠿⣷⣦⣙⢶⣽⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⡩⠝⣿⠀⠀⢘⣿⡏⠙⣿⠃⠀⣸⠈⢻⣷⣾⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⡖⠁⠀⠀⠈⠟⠁⠀⠻⠁⠀⠈⢦⡞⠈⠙⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠓⠒⠒⠒⠒⠚⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⣀⡀⢀⣀⣀⡀⠀⢀⣀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⢿⠛⡺⠒⢻⠉⠟⠛⡟⢻⠋⢏⢻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⡆⠀⢸⠀⢰⠀⠈⡆⢸⠀⢸⠀⣇⠘⡄⢣⢹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣽⣿⡍⡹⣷⠀⢾⣿⢺⣿⣲⣿⢾⢷⣞⡆⣿⣟⣻⢞⠻⣿⣿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⢟⠏⡜⡜⢱⣿⠀⠘⢿⠻⠷⠻⢿⠛⡿⠻⠿⢻⠟⢿⠻⠖⡿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⡏⠜⣰⡹⢡⢧⣿⡄⠀⠸⡀⢸⠀⠘⡄⢰⠀⡆⠘⡀⠘⢀⠀⣤⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣍⠻⠼⣰⣣⣣⣯⣧⠷⡜⢄⠀⣇⠈⡆⠀⠃⢸⠀⢠⠀⡇⠀⠀⢠⣿⡷⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠑⠢⠤⢍⣉⣹⠿⡀⠘⡈⡆⢸⠀⡇⠀⡄⠸⠀⢸⠀⠇⢸⠠⠀⣿⡻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⢸⠇⠀⠹⡆⡇⡇⢘⠀⡇⠀⠃⠀⠀⢸⠀⣆⠸⠀⡇⣿⣇⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⢀⡞⠀⠀⠀⢳⡐⢳⢸⠀⢡⠀⠀⠀⡇⠈⡆⢸⠀⡇⢃⢸⣟⠁⣨⠑⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣾⠁⠀⠀⠀⠘⣷⡾⠸⠀⠘⠀⢸⠀⠇⠀⠇⠘⠀⢸⣼⣦⣻⡶⠃⠀⠀⠉⢢⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⣿⡧⠀⡄⢰⠀⢸⠀⢸⠀⢸⠤⠛⡹⠋⠀⠉⠙⠒⢦⣴⣄⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⣸⠀⠀⠀⢠⠖⣁⣀⡀⠱⡄⠀⠀⣿⣷⣠⣧⣼⣖⠒⠓⠚⠋⠀⡠⠊⠀⠀⠀⠀⣀⡴⠛⠯⣍⣳⠼⠀⠀⠀⠀ ⠀⠀⢠⡷⡄⠀⢠⣿⠞⠁⠀⠉⠛⠁⠀⠘⢿⣿⠋⠉⠉⠉⠉⠉⠒⠚⣩⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠈⢻⡀⠀⠀⠀⠀ ⠀⠀⣸⠀⡇⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⢀⣹⣄⠀⠀⠀ ⠀⠀⠸⡀⢣⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⢰⠃⠉⠲⣄⠀⢸⣧⣀⣀⣠⠖⠊⠁⠀⢸⡄⠀⠀ ⠠⠤⠤⣽⡮⣅⡀⠀⢰⠖⠢⠤⢀⣀⡀⣠⣿⠤⠤⠤⢤⣀⣠⠤⠤⢼⠀⠀⢀⣤⡵⠦⡿⠤⠤⣌⡦⠤⠤⣀⣸⠧⠀⡀

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⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⠳⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⠀⣦⡈⠛⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠈⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⣿⣿⣶⣄⡈⠓⢦⡀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠘⣿⣿⣿⣿⣷⣄⣙⣷⡤⠤⠤⠤⣞⠁⠀⠀⠀⠀⠉⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠛⢦⣀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⣻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⣤⣤⣤⣤⣼⣟⣡⠴⠚⠛⠋⠛⠓⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣽⡷⣄⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠘⢷⠀⠀⠀⢠⡿⣿⣵⣤⣤⣤⣤⣤⣤⣤⣼⠽⣆⠀⠀⠀⠀⢀⡾⠉⣾⣥⣬⣽⣦⡀⠀⠀⠀⠀⠈⠳⢤⡀⠀⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢳⠀⢀⡞⢸⡇⠻⣿⠿⠿⠿⠿⠿⢿⡿⠀⢸⡆⠀⠀⠀⣿⠀⠀⣿⡿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠙⢶⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢣⣼⠃⣸⠀⣸⠁⠀⠀⣴⣿⣿⣷⣿⡄⠀⡇⠀⠀⠄⡇⠀⠀⣿⣴⣿⣷⣤⠀⠀⢻⡙⢦⣄⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠜⣯⣠⠏⠀⢹⡄⠀⠀⣿⣿⣿⣿⣿⠇⢠⡇⠀⠀⠀⣿⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⡇⠀⣯⠛⣶⡋⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡴⠋⠁⠀⣿⠃⠀⠀⠀⠹⢦⣀⠈⢛⣻⡟⠃⣠⣾⣧⣴⣶⣦⣼⣧⠀⠙⢿⣿⣿⠟⠁⢀⡾⠁⠀⠘⢦⣿⠙⠳⣤⡀⠀⠀⠀⠀⠀ ⠻⣤⡀⠀⠀⡏⠉⠛⠛⠓⢤⣀⡉⠉⢉⣥⠖⠋⠁⢸⣿⣿⣦⣠⣿⠉⠛⣦⣄⠉⠛⠛⠛⠁⢀⡴⠒⠒⠚⣿⠀⠀⠀⣹⣷⠀⠀⠀⠀ ⠀⠀⠉⠳⢦⣷⠀⠀⠀⠀⠀⠀⠉⢉⣽⠏⠀⠀⠀⠈⠻⣿⣿⡿⠋⠀⠀⠈⢻⣝⡛⠛⠛⠋⠉⠀⠀⠀⢀⣿⡤⠖⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⣠⠖⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⠙⠷⣄⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⡄⠀⢠⡾⠁⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⣦⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⣀⡟⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠈⣧⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣅⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡶⢶⣤ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⣈⣙⣦⣀⠀⠀⠀⠀⠉⠑⠶⠤⢤⣄⡤⠴⠖⠋⠁⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⢸⠟⣿⢻ ⠀⠀⠀⢀⣴⣎⣍⣁⠀⠀⠉⠉⢻⣿⣶⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣶⣾⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢶⡏⠀⣼⡿ ⠀⠀⠀⠈⠉⠀⠀⠉⢳⣄⣠⣞⠉⠙⢿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⠏⠁⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠿⣿⣿⣷⣦⢘⣿⣤⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣸⣦⣶⣿⣿⡿⠶⣄⣀⠀⠀⠀⣀⡀⣾⠃⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠾⠃⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠉⠛⠲⠞⠉⠙⣿⡾⣇⡀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠈⢻⣿⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⣠⣶⠀⣸⣆⣨⡿⠀⠀⠀ ⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⠳⣤⡀⠀⠀⠀⠀⢀⠈⠁⣼⣯⡉⢐⢈⡿⠀⠀⠀ ⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠙⠓⢦⣤⣀⠸⣄⠀⢿⡄⠉⠙⣿⡇⠀⠀⠀ ⠀⢸⣿⣤⠀⠀⠀⠀⠀⠸⣿⣷⠀⢠⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⡇⠀⠀⠀⠀⠀⠈⠉⠛⠲⣼⡏⣽⠉⠁⠀⠀⠀⠀ ⠀⠈⠹⣿⠀⣴⠀⢠⣦⣀⣸⠊⢳⣼⣇⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢠⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⢿⣀⠀⣡⡿⠁⠀⠀⡿⠙⠳⢤⣄⣀⡀⠀⠀⠀⣀⣀⣠⡤⠖⠋⠁⢣⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⢠⢾⡟⠻⡗⠦⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⣷⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢀⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠋⠉⠉⠙⠶⣄⠀⠀⢸⠁⠀⠀⠀⡇⠀⢀⡴⠖⠋⠉⠙⠺⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠈⠳⢠⡏⠀⠀⠀⠀⣿⠀⠋⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠿⣧⣀⣀⠀⠀⠀⠀⠀⣀⣠⡾⠇⠀⠀⠀⠀⢿⣤⣀⡀⠀⠀⠀⠀⢀⣀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠋⠑⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢉⣉⣂⣀⣀⣀⡙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠉⣚⣐⣟⠉⢡⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀⠛⠙⠛⠀⣦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⡇⠀⢲⡢⡤⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⣖⠚⠯⡤⠾⢉⠽⣶⣶⣾⣶⡚⢉⣩⠟⠒⠒⠒⠒⢦⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⢹⣭⣔⣇⠀⠎⡧⢄⡀⠈⢆⠀⢸⣏⡉⠀⠀⠒⠒⣾⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⢸⡷⣾⣿⠎⠀⡇⣀⡈⢁⡎⢆⢸⡗⣒⣚⠭⠭⢀⡟⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠈⡇⠀⠈⡆⠰⢄⡉⠁⡘⠀⠀⣿⣟⣶⣿⡿⣯⣼⡇⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠹⡄⢀⣣⠀⠀⠈⠑⠃⠀⠀⡍⡀⠀⠉⠉⠁⣺⠃⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⠪⢽⠢⠄⣀⡀⠀⠀⠀⢣⡀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠇⢸⠉⠀⠐⢻⡫⠵⡒⠢⡼⠃⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⢸⠀⠀⠀⠘⠰⠀⠓⠊⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠢⣀⣇⣼⡆⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⠟⢹⠤⠄⢀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣀⡀⣀⢀⡀⡀⠀⠀⠀⠀⢸ ⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⠉⠉⠉⢉⣉⠉⣋⠉⢉⡋⠉⡉⠉⡉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⣿⣍⠉⢙⡿⣷⡒⠒⠦⠤⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣦⠚⠉⠃⠈⠣⢠⠛⠷⣦⡄⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⢧⠈⠁⠀⠀⠀⠀⠀⠃⠀⠈⠉⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡇⡤⡗⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⢀⣠⡤⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⢶⣶⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢽⣀⣓⣘⡀⠀⢠⡖⣿⣏⢻⣿⣿⠉⢿⣿⣦⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⠀⠀⠀⣏⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣷⡄⣾⡠⠾⣿⣿⣩⣤⣤⣠⣬⣿⡿⣿⠛⠛⠛⠳⠶⢶⣶⣶⡶⠋⠉⠛⠛⠓⠢⠼⢿⣿⣷⡼⢶⣶⡲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⡽⠟⠛⠿⢷⣶⣦⣄⡀⠀⢀⣤⣶⣶⡀⠀⠀ ⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣾⣿⡏⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⡇⠀⠀⠀⠀⢀⣀⣤⡾⣻⡗⠒⣶⡶⢦⢤⣤⣄⣀⣀⠀⠀⡿⠀⠀⠀⠀⢸⣿⠉⠉⠛⣿⠿⠛⢿⣿⣧⣤⣴ ⢀⣤⣤⣼⣿⣿⣷⣤⣿⠁⣠⣽⣷⣄⡈⠳⣤⣤⣤⣤⣤⣤⣶⡿⠛⣻⣿⣿⡟⠻⢿⣥⣀⣋⣹⣧⣰⣇⡿⢾⡄⠀⢻⠸⡏⠉⠉⠓⠒⠒⠒⠒⠛⠛⠒⠶⢤⣤⣤⡀⠀⠈⠛⢻⣿ ⣿⠉⠉⢹⣿⣿⣿⠟⠛⠛⠋⠛⣧⣈⣉⣿⣿⣿⣿⠿⠟⠛⠓⠛⠉⠉⠉⠉⡇⠀⠀⠀⣻⠛⣿⡏⢸⡿⢻⣾⡇⠀⠸⡆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻ ⣿⣉⡶⠛⠉⢩⣿⡀⠀⠀⠀⠀⠸⣽⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⡇⠀⠀⠀⣿⢰⣿⡇⠀⡇⢸⠁⢷⠀⠀⢣⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠁⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⢻⡇⠀⣀⣀⣤⣤⣶⣶⣖⣿⠯⣿⡇⢰⡇⠀⠀⠀⣿⠘⣿⣇⣰⡇⢸⠀⠈⣦⠀⣸⣷⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡧⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠈⢇⠀⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⡇⢘⣷⣤⣄⣀⣿⠀⡇⠀⠉⠁⢸⠀⠀⠘⠛⠛⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⡀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠸⣦⣿⣿⣿⣷⣾⣿⣿⡛⠛⣹⣿⣸⡇⠀⠀⠉⠉⠉⠋⠉⠙⠲⠼⠤⠤⠶⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠈⢷⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⢀⣿⣇⣀⣠⣼⣿⣿⣿⣿⣿⣿⣵⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠈⣇⠀⠀⠀⠀⠀⠘⣆⣠⡴⠞⠉⢙⣿⡥⠾⣿⣿⣿⣿⣍⡽⠿⢿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⣿⡀⠀⢀⣠⣶⣿⣿⣮⠴⠶⠶⠟⢻⣷⢞⣻⣿⣿⣿⠶⠖⠛⠉⠙⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⡟⢿⣿⣿⡿⠛⢉⣹⣿⠶⠖⠒⠻⡟⠉⠉⠉⢷⣖⣋⣀⣀⣤⣤⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⢾⣍⣹⣿⣟⣰⠶⠚⠉⠀⠙⣆⠀⣀⣀⣹⣶⣶⣾⣿⡿⢿⡞⠛⠙⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⢹⡄⠀⠀⣀⡤⠖⢻⡉⠉⠀⠀⠉⢙⣿⠀⠀⢸⠁⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡖⠋⠁⠀⠀⣈⣷⠤⠴⠚⠛⣯⣿⠀⠀⢸⣆⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⣀⡤⠔⠋⠁⢹⡄⠀⠀⠀⠈⣿⢴⡖⠛⢘⣆⠀⣀⣀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠋⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⣼⠁⣀⡤⢾⣿⣿⣟⠙⣿⡙⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⣸⣿⠟⠋⠀⠘⣧⢠⣿⠞⠛⠋⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡇⣤⣤⡄⠀⠀⢀⡼⠁⢀⣀⣴⣿⢷⡄⠀⣠⢤⣼⣾⣿⠀⠀⠀⠀⣀⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⡓⣇⠀⡿⠀⣼⣿⠛⠋⠉⠀⣠⡏⠀⢳⡀⠻⣼⠟⣿⣿⡇⣴⣺⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠻⢷⣍⠛⣡⡾⣿⣃⣀⡤⣤⣾⡟⠀⠀⢀⣻⣶⣴⣿⡿⠛⡇⣿⣛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡟⠀⠀⠀⠉⠉⠉⣰⣷⣿⣿⣿⡿⡾⠁⠀⠀⠈⡏⠉⠉⠉⠀⠠⡇⢸⣿⡿⠿⠏⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣦⠀⠀⠀⠀⠀⢰⢿⣿⣿⡿⠿⣿⠁⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⡇⠈⠁⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣤⡀⠀⢠⠏⠈⠉⠁⢀⣼⠃⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⢹⠀⠀⣀⣠⠴⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⣾⡤⠶⣒⣚⣉⡁⠀⠀⠀⠀⠀⠀⠉⠉⠙⠓⠒⠒⠛⠛⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠖⠋⠉⠉⠉⠉⠙⠲⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⠀⡼⢁⡠⢼⠁⠀⢱⢄⣀⠀⠀⠀⠀⠀⠎⢿⡄⠀⠀ ⠀⣸⠁⠀⣧⣼⠀⠀⣧⣼⠉⠀⠀⠀⠀⠀⠐⢬⣷⠀⠀ ⡼⣿⢀⠀⣿⡟⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀ ⣇⢹⠀⠁⠈⠀⠉⠃⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⡰⢸⡇ ⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⣈⣉⣤⠿⠁ ⠀⣠⣾⣿⠤⡀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣅⠀⠀ ⢰⣧⣿⣿⣿⣦⣉⡐⠒⠒⢲⣿⣿⣿⣿⣿⣿⣶⣿⣧⠀ ⠘⠿⢿⣿⣿⣿⡿⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀ Kirby wants you to STOP nsfw!

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

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⢠⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⠛⣿⢋⡛⣿⡛⡆⢸⡟⡿⢫⡛⣶⢾⡛⣿⢛⡿⣿⡻⣿⢻⡿⢻⠛⣙⣿⣟⢻⠟⣿⢻⣿⣝⢻⡇⣿⠀⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⡰⠂⣿⣸⣇⣿⡇⣿⢸⣇⣇⣸⣇⣹⢈⣿⣈⣼⣇⡻⣃⣿⣘⢇⣸⣀⡇⠀⠹⣌⣿⣁⣾⣅⠶⣸⣇⢻⡀⣿⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠉⠉⠉⠉⠉⠉⠁⠀⠉⠉⠉⠉⠁⠻⠧⠞⠁⠈⢉⡍⠁⠉⠉⠉⠉⠀⠀⠀⠈⠁⠉⠀⠉⠉⠉⠉⠋⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⣷⣿⣿⣿⣾⣿⣿⣿⡿ ⡿⣿⣷⣿⣿⣿⣿⡿⣿⣿⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠉⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⢸⡏⢹⣿⢿⣿⣿⠿⣿⣷⡿⣿⣷ ⣿⣿⣹⣿⣿⣁⣿⣿⣿⡟⠟⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣴⣿⣿⡇⢀⠀⠀⠀⠀⢸⡟⣿⡄⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⣻⡄⠈⣯⣡⣿⣿⣸⣿⣿⣯⣽⣿⣿⣸ ⣯⣿⣯⣿⣿⣿⣿⣽⣿⣷⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠀⢐⣵⡟⣿⡇⠜⡀⠀⠀⠀⢸⡇⠘⣿⣄⢷⡜⣄⣀⡀⠀⠀⠀⡶⠉⣇⠀⢽⣿⣿⣿⣽⣿⣭⣿⣯⣿⣿⣿ ⢽⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⡃⣶⡄⢀⣤⡀⣀⣤⣶⣾⣿⣿⣿⣷⣶⣿⠃⢰⣿⣧⢸⡇⢈⡆⠇⣾⡇⣠⣼⣿⣿⣿⣿⣿⣿⣿⣶⣆⢸⣄⢡⢂⣾⣿⣿⣷⣿⣿⣿⣾⣿⣷⣿⣯ ⣟⣿⡽⣿⣿⣯⣿⣿⣿⠰⣿⣷⣾⡧⣼⣭⣾⣿⢿⣻⣿⣿⠅⣠⣾⠛⠛⠋⢸⣿⣏⠘⠃⠈⠀⣰⣿⠙⠋⠁⠀⠻⣿⣤⡀⠉⠛⢿⣿⣷⡏⢸⣆⣄⣿⣿⣿⣿⣿⣭⣿⣿⢟⣿⣽ ⡻⣿⣟⢿⣿⣿⣿⣿⣿⣷⣽⣷⡿⣱⡿⠿⢟⣁⠈⣡⡜⣡⣾⠟⠁⠀⠀⠀⠀⢿⣿⠰⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠈⣷⡙⣿⣾⣿⣿⣿⣿⣿⣿⣟⣿⣯⡿⣟⣿⡻ ⡟⣿⣿⢛⣟⣿⣿⣿⣯⢵⢿⣫⣶⣿⡁⢀⣸⠃⢰⣯⣾⠿⠁⠀⠀⠀⠀⠀⠀⢸⣿⡗⠂⣠⣿⠟⠀⠀⠀⢀⣀⠀⠀⠀⠈⠻⣷⣄⡀⢡⣼⣿⣿⣿⣿⣿⣿⢻⣿⠛⣿⣾⣿⠙⡟ ⡛⣿⣮⣿⣿⣯⡿⣿⣿⢃⣬⣭⣩⣾⣥⣸⣭⣾⠿⠋⠀⠀⠀⠀⠀⠻⣷⡤⠀⠀⢿⣿⣿⡿⠋⠀⠀⠀⣴⠿⠋⠀⠀⠀⠀⠀⠈⠙⠿⣷⣌⣽⣿⣈⣿⣻⣿⣿⣿⣙⣿⠿⣾⣿⣿ ⡷⣽⣯⡸⣧⣿⣿⣯⣿⡿⠟⠛⠻⢿⣿⡋⠉⠀⣠⣴⣶⣿⣿⣿⣿⣶⣦⣤⡄⠀⠈⠛⠋⠀⠀⠀⠀⢠⣿⣷⣶⣿⣿⣿⣿⣶⣤⡀⠀⢸⣿⡿⠋⠉⠙⢿⣿⣽⣿⡉⣿⣵⣯⡸⣧ ⢾⣿⢞⣿⣿⣷⣿⢻⡿⠀⠰⣦⡀⠀⢻⣧⠀⢸⣿⠟⠋⠉⠉⠉⠉⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠉⠁⠈⠉⠻⠿⠃⠀⣼⡟⠀⣠⣶⠟⠈⢿⣿⡿⣻⣟⢻⡯⣿⢘ ⢾⠋⣿⣻⣿⣿⣿⢿⡇⠀⠀⣼⡿⣦⡀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣥⣿⠿⣿⠀⠀⢸⡟⣿⣠⣿⣮⢳⣍⢼ ⣼⣴⢧⣿⣿⣭⣿⣼⣧⠀⠀⠛⠁⠙⣿⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠟⠁⠀⠈⠀⢠⣿⣧⣿⣥⣟⣽⡼⣁⢂ ⡽⣻⣯⣿⣿⣧⣿⣽⣿⣦⡀⠀⠀⠀⠘⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⣠⣿⣿⣿⣿⣤⣿⠟⠽⠷⠃ ⣟⢿⣻⢛⡟⢷⣻⡟⣟⢛⣿⣶⣤⣀⣀⣀⣹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣀⡀⠀⠀⠀⠀⠀⣼⣿⣀⣠⣤⣴⣾⣿⡟⣏⣽⣿⠟⣿⢦⡠⠀⡄ ⣝⡶⢃⡾⢻⣦⢿⣾⠙⡾⢻⣯⠛⠻⣿⡿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⠶⠖⣿⡟⠉⠉⣿⠉⠉⣿⣿⠄⠀⠀⠀⢠⣿⠿⣿⣻⣿⣿⣿⣿⡷⢫⠸⢇⠒⢿⡂⢧⠒⢕ ⢋⣴⣋⠒⣻⡁⢿⣙⣾⡁⢯⢿⣧⣀⢿⣿⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⢸⣟⠁⢹⡇⠀⠀⢸⣇⠀⠀⠹⣆⣠⣿⠏⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠏⢙⠆⢷⡼⠛⡉⠷⡍⠳⠈ ⣿⢲⢟⣸⠷⠂⣿⡿⣿⠎⣷⠈⣿⣿⣆⣿⣿⡿⣿⣿⣧⡀⠀⠀⠀⠀⠈⠻⢦⣀⣿⡄⠀⠀⢻⣀⣤⡾⠟⠉⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡇⣿⠀⣻⡗⢙⡃⠩⠀ ⠒⣩⢩⠀⣯⠀⠚⣧⣬⡀⡌⣄⢻⣿⣿⣿⣿⣧⣾⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠉⠙⠛⠓⠚⠛⠉⠁⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⡇⠚⠁⢦⢸⡄⠒⠃⡀⡅⠀⢀ ⠟⣭⠨⠠⢍⣁⠻⣮⣩⠤⠥⠭⠼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣾⣿⣿⣿⣿⣿⡏⣿⣿⣿⠅⢂⠰⠟⣸⠀⠒⠤⠁⠁⠀⠈ ⠀⠤⠠⠐⠃⠉⠤⠀⠤⠤⢀⠃⣀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⠿⢿⣿⣿⣟⣁⠘⣀⠤⠀⠧⣀⠛⠀⠀⢀⠀⠠ ⠋⠰⠀⠀⠈⠀⠀⠓⠶⠠⠎⢠⡬⠆⠈⠻⠿⢿⡟⢿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠃⠘⠻⠟⢁⡈⠶⠃⠀⢣⡀⠀⠶⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⠁⠰⠆⠀⣤⢀⡀⠉⠀⠀⣤⠀⠀⠙⢿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⣿⣿⣿⣿⣿⡿⠋⠰⠀⠉⠁⠀⠲⠀⢠⡄⠈⢋⡈⠘⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠀⠠⠀⠀⠀⠁⠀⠠⠈⠛⢛⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡛⠋⠉⠀⠀⠀⠠⠄⠚⠗⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⢶⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⢾⣟⡏⢹⣧⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⠛⣿⠻⠿⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣠⣀⣤⣶⣶⣶⣶⣤⣤⣤⣤⣄⡀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⣶⣶⣶⣬⣒⢦⡀ ⡾⠛⠉⠉⢀⣀⣈⣉⣉⣉⣻⠛⠁⠀⠀⠀⠀⠙⢛⣛⣉⣉⣉⣉⣀⠀⠉⠙⠻⢮ ⠀⠀⣀⠴⢲⣶⣶⣶⠶⡦⠄⢷⡄⠀⠀⠀⠀⣼⠃⠴⡶⢶⣶⣶⢶⠲⢤⡀⠀⠀ ⠀⠘⠓⠤⠼⠿⠿⠿⠥⠽⠄⠘⠀⠀⠀⠀⠀⠘⠂⠼⠥⠽⠿⠿⠿⠤⠖⠛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠤⠶⠞⠋⠁⠀⠀⣸⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀

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⠘⡀⠀⠀ ⠀Yes, i play NSFW⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀ ⠀⠀⠀⠑⡀⠀⠀games on my main⠀⠀ ⠀⠀⠀⠀⡔⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀Account⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠤⠄⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣀⠄⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠋⠉⠈⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⣀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿ ⣿⣿⣿⢏⣴⣿⣷⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿ ⣿⣿⣟⣾⣿⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⢢⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣟⠀⡴⠄⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣿⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢴⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿ ⣿⣁⡀⠀⠀⢰⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡄⠀⣴⣶⣿⡄⣿ ⣿⡋⠀⠀⠀⠎⢸⣿⡆⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠗⢘⣿⣟⠛⠿⣼ ⣿⣿⠋⢀⡌⢰⣿⡿⢿⡀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣧⢀⣼ ⣿⣿⣷⢻⠄⠘⠛⠋⠛⠃⠀⠀⠀⠀⠀⢿⣧⠈⠉⠙⠛⠋⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣧⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⢀⢃⠀⠀⢸⣿⣿⣿⣿ ⣿⣿⡿⠀⠴⢗⣠⣤⣴⡶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡸⠀⣿⣿⣿⣿ ⣿⣿⣿⡀⢠⣾⣿⠏⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⣿⣿⣿⣿ ⣿⣿⣿⣧⠈⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿ ⣿⣿⣿⣿⡄⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠙⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠁⠀⠀⠹⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠿⠛⠉⠉⠁⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⢀⠈⣿⣿⡿⠉⠛⠛⠛⠉⠉ ⣿⡿⠋⠁⠀⠀⢀⣀⣠⡴⣸⣿⣇⡄⠀⠀⠀⠀⢀⡿⠄⠙⠛⠀⣀⣠⣤⣤⠄⠀

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⣿⣿⣯⣿⡏⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠿⠟⠛⠛⠃⠀⠈⢻⣿⡘⢈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡷⡀⠸⡧⣄⡀⣷⠹⣧⡀⢯⠳⢄⣀⣿⣿⣷⠶⣻⡎⠀⠀⠀ ⣿⢿⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⣧⣶⡇⠀⠀⠀⠀⠀⠘⣿⣧⡿⠁⢿⢿⣿⣿⠉⠻⡿⠟⣿⣇⣷⣈⡓⣷⡆⠈⠹⣧⣼⣿⣿⣷⣶⣤⣿⣿⡥⣶⡿⠟⢂⠀⠀ ⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢰⣿⠏⡇⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⢸⣿⣥⠖⣸⣘⣻⣿⣤⣤⣤⣠⣿⣀⣹⡉⠉⠹⣿⣗⠲⢿⣿⠋⠀⠀⠉⣿⣿⣿⣾⣭⣴⣾⡋⠀⠀ ⣉⠁⠀⠀⠀⡀⠀⠀⠀⠀⠤⢄⡀⠀⣹⣿⣷⠿⣤⣤⡇⠀⠀⠀⠀⠀⢀⣠⣾⡿⠿⠛⠻⣏⡙⠫⢍⡉⠻⣿⡟⠻⣿⠿⣷⣶⣽⣟⣳⣾⡿⠁⣼⣆⠀⠈⠙⠻⢿⣿⣿⣿⣷⣆⠀ ⠈⠉⠒⠷⢤⣄⣳⣜⣦⣀⣤⣴⣿⣿⠿⣿⣿⣷⣶⣏⠀⠀⢀⣠⡴⠾⡛⠉⠐⠒⠲⢖⠛⠫⢽⡓⠯⣍⡙⢭⡉⠙⢯⡑⠻⣯⠽⣻⣿⣭⣧⠀⠙⣿⣇⠀⠀⠀⠀⠙⠃⠀⢻⣿⣷ ⠀⠀⠀⢶⠀⠙⠲⣄⣀⣤⣶⠿⣋⠥⠶⠹⣿⣿⣿⣿⣿⣿⡟⢭⣠⣄⣀⣉⡙⢭⡓⢦⣷⡀⠀⠈⠻⣾⠿⣶⡻⣄⠀⢧⠀⣿⣃⣸⣿⣿⣟⣿⡿⠋⠉⣿⠷⣦⣤⣤⣤⡄⢈⣿⣿ ⣀⣀⣀⣀⣤⣴⣶⣿⣿⣿⠷⠋⠁⠀⠀⠀⣨⣯⣿⡿⢻⢯⢱⣸⠈⢻⢿⣎⢻⡙⠷⣄⠙⡍⢲⣦⡀⠈⣷⣮⠳⡌⠳⣬⡘⢯⣔⠚⣿⣿⣿⣦⡟⠶⣾⡁⠀⣹⣿⠛⠉⣴⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⡓⠠⠀⠀⠀⣰⣾⣿⡿⣻⢃⣧⢸⡀⡟⣄⠘⡄⢹⢦⣷⡀⠘⣿⣷⡀⠹⣏⠲⣼⠀⠁⠘⣶⣽⡙⢦⠽⢷⣜⢿⣿⣿⣌⡻⢬⡿⢿⠿⣿⣧⣿⣿⣿⣬⠟ ⣽⣛⠻⣿⣿⣿⠟⠉⠀⠀⠀⠀⣠⣾⣿⣿⢋⡴⣿⡞⣸⣯⢷⡇⢹⢶⡇⠈⠁⠘⢷⣄⢸⡆⠙⢶⣿⡄⢸⣦⡀⠀⢹⠈⢧⠀⢿⣷⢟⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣿⣿⡿⠀⠀ ⣿⢟⣾⣿⡿⠃⠀⠀⡀⠀⢀⣾⣿⣿⣿⠟⢉⣼⣿⠀⣿⡇⠈⣷⡸⠀⢱⣤⠀⠀⢸⠘⢻⣇⠀⠈⣟⢷⣄⠹⣿⣆⠀⡇⠈⢧⠘⡞⡌⢻⡿⣏⡟⢿⣿⣿⣿⣿⢿⣿⣿⢷⣇⠀⠀ ⢇⣾⣿⣟⡥⠀⠀⠁⠀⢀⣾⣿⣿⡟⠁⡴⢡⣧⣿⢰⠇⢿⡀⢻⢻⡆⢸⠉⢳⡀⡼⠀⠀⣟⣷⣄⢸⠈⡿⣦⣿⣿⣷⡀⠀⠘⣧⡇⣿⠀⣿⠘⣷⡜⡽⢉⡩⢿⣯⢿⣿⣎⣿⣧⡀ ⣾⣿⡟⠁⠀⠀⣀⡤⢖⣾⣿⣿⡟⣠⠊⡰⢻⠋⣿⣿⠀⢹⣧⢸⠀⢿⣼⡀⠘⣿⢧⡀⢀⡟⠈⣟⢿⡀⢸⡌⢿⣿⣿⣷⡀⠀⡟⡿⣽⠀⣸⠀⢻⣞⡝⠁⣠⣾⣇⢸⣿⣿⣻⡌⠳ ⣿⡿⠁⠠⠖⠋⠁⡠⠚⣿⣿⣿⡜⢡⠞⢡⣿⢞⡟⣿⡀⣼⠘⣿⡀⠈⡿⣧⡀⣿⠀⢻⣯⡀⠀⡼⠈⢻⣶⢹⣜⠹⣿⣿⣷⡀⠃⡇⢻⡀⡏⠀⢸⢹⣡⣾⠷⢻⡏⠉⣿⣿⣿⣧⠀ ⣿⠁⠀⠀⢀⣴⠞⠁⢀⣿⣿⠏⡴⠃⣰⣻⣿⣾⡜⠻⣧⣿⠀⡏⢷⣄⡇⠈⢳⣼⡇⠀⠏⢻⣯⡀⠀⣸⠸⣿⣿⡳⣏⠻⣿⣷⡸⠁⠀⣿⡃⠀⢸⠘⡏⠀⢀⣾⡿⣶⣿⣿⣿⣿⡀ ⠇⠀⠀⢚⣟⣡⠴⢚⣹⣿⣏⡜⢁⡼⢡⠃⣿⡟⣠⠞⢹⣿⡀⢣⠀⣿⣇⠀⠈⡟⢿⣄⢰⠀⠹⣿⣾⡁⠀⣿⢻⣧⣽⡙⢮⡻⣧⣀⠀⢸⢧⢀⡟⢸⣿⡴⠋⣾⠀⣸⣿⣿⣿⣿⣇ ⠀⠀⢠⠞⣋⠴⠚⠁⣸⣿⡟⢠⠎⣴⣿⡜⢿⡏⠁⢠⣾⣿⣿⣼⠀⢸⡏⢳⣄⢹⡀⠙⢿⣇⡀⢻⣞⢿⣾⡟⠀⠹⣿⢷⣄⣻⡾⣟⠷⣤⣸⡾⠁⡞⢸⣀⣴⡟⢰⣿⣿⣿⣿⣿⠟ ⠀⡰⠃⠈⠁⠀⠀⣴⣿⣿⣰⢃⡞⣹⣿⢁⣿⣿⣴⠟⢹⣿⡿⣿⣷⣾⣷⠀⢻⠳⣷⣄⣘⣿⠿⣷⣿⣦⣿⣿⣦⡔⠻⣿⣿⣙⢷⣬⣽⣿⣿⣛⡼⠁⢸⡿⣿⣥⣿⣿⣿⣿⣿⣿⠋ ⡰⠁⠀⢀⡴⠊⢀⣿⣿⣿⣷⠏⢠⣿⣿⡞⢸⣿⣧⢀⣾⣿⣿⣿⣿⣿⣿⠷⣦⣷⣀⣿⢿⣿⢛⣿⣿⣿⣿⣿⡿⣿⣶⣽⣿⡼⣿⣿⣿⣿⢻⣿⠛⠀⣾⡇⠀⢻⣿⣿⣿⣿⣷⣦⣶ ⠃⠀⠀⠉⠀⠀⣸⣿⣿⣿⡏⢠⢿⣿⣿⠁⡞⢿⣿⣧⣷⣬⣿⣿⣿⣿⣿⣆⠀⠉⠙⠛⠛⢛⣼⡟⢁⡾⡅⠀⣽⣻⡏⢿⣿⣿⠋⢹⡇⠙⣿⢻⣆⡜⢹⡏⡷⢠⣿⡿⠗⡿⣽⠟⠉ ⠀⠀⠀⠀⣀⠄⣿⣿⡿⣿⣷⠇⣾⣿⣿⣿⠁⢸⣿⢿⣿⣟⢻⣿⣾⣸⣿⣿⠀⠀⠀⣠⡶⠋⣿⠀⢸⠻⣿⣾⣹⠋⢹⡀⢻⡆⠀⢸⣇⣰⠃⣸⡟⢠⣿⢀⠇⣼⣿⣧⠁⠃⢻⡀⠀ ⠀⠀⠀⠜⠁⣸⣿⣿⢽⠙⣿⣧⠙⣿⣿⣿⡀⡏⢻⣿⣼⣿⡸⣿⣿⣿⣿⣿⢠⣴⠟⠉⠀⠀⢿⡇⠘⣦⢿⡾⢿⣦⣼⠃⣾⠇⠀⢸⣿⠃⢠⢻⣷⢿⣿⣾⣾⡟⢿⣿⣷⣦⠀⢳⣼ ⡄⠀⠀⢠⠞⣿⣿⢷⡞⢴⠓⣿⣷⣿⡟⣿⣿⠅⢸⣿⣿⣿⡇⣻⣿⠿⢷⣿⠛⠁⠀⠀⠀⠀⠈⢿⣆⠙⠻⠦⠴⠚⣡⣾⣿⣄⣀⣾⡏⢀⠎⣸⡇⣼⣿⣿⣿⣤⣤⣽⣿⣿⣿⣦⣹ ⣷⠀⠀⠋⢰⣿⢻⣿⠇⡾⢀⡇⣿⢛⠛⣺⣿⣧⢸⡏⣿⣿⣿⣧⡿⠷⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠶⠶⠶⣿⠋⠁⠈⢛⡟⣸⣧⠎⢀⣿⣷⣿⣿⢋⡽⠟⠋⠛⠛⠛⠛⠛⡛ ⣿⣧⠀⠀⢸⣿⠀⢻⣷⡇⣼⣿⣿⢳⣾⣿⢸⣿⣿⠀⠘⣿⣿⣼⡅⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⡞⣹⠀⠀⣠⣟⣤⣿⠇⢀⣾⣿⣿⠟⠻⢿⣿⣿⣿⣆⠀⠀⠀⠀⠁ ⢿⣿⣧⡀⢸⣿⠀⡀⠻⣿⣿⣿⣿⡀⢿⣷⣾⣿⣿⣧⡀⠘⣿⣿⣷⣾⣶⣦⣄⣀⣀⣤⣤⠴⠶⣞⠛⠙⡅⢀⡵⠃⣠⣾⣿⢿⣿⣿⡴⢫⣿⣿⣃⣠⣤⣤⣭⣿⣿⣿⣿⣦⠀⠀⠀ ⣷⡻⣿⣷⣞⡿⣶⠟⣀⠙⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣧⡀⠈⣿⣿⣿⣿⣿⣿⠳⢽⣄⡘⢆⠀⢘⣆⡤⠞⣫⣴⣿⡿⠛⢁⣼⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣴⣶ ⣿⣿⠜⣋⣵⣿⣷⠀⠀⣆⡌⢿⣿⣧⠀⣿⣿⣟⣿⣿⣿⣷⣤⣿⢻⢹⢹⡿⣿⣿⣶⣬⣍⣉⣉⣭⣥⣶⣿⣿⣿⣽⢿⣾⢟⣹⡟⢠⣾⣿⠋⠙⢿⣏⠁⠀⠀⢸⣿⣿⠋⣱⡿⠋⠀ ⢫⣴⣾⠁⠈⣿⣿⣇⠀⢿⡀⠀⢻⣿⡄⢸⣿⣿⣿⣿⣿⣟⣿⡟⡾⣾⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠳⠿⠿⢿⡿⣡⣿⣿⡟⠀⠀⢀⣿⣦⣤⣤⣼⣿⣿⣿⡟⠀⠀⠀ ⣸⣽⡀⠀⠀⢹⡹⡄⠀⡼⠃⣴⣾⢿⣷⠘⣿⣿⢿⣿⣿⣿⣿⢃⠇⡏⢸⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣾⣵⣿⣽⡿⠀⠀⠀⢸⣿⣿⠋⠁⠈⣿⡏⠹⣶⣶⡄⠀ ⢸⣿⣿⠄⠀⠠⡷⠙⠦⣶⣿⣿⣿⣾⣿⣴⣿⡟⠘⣿⣿⣿⣿⠼⠀⡇⢸⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠥⠤⣤⣀⣀⣿⢁⣼⡿⠁⠀⢰⠀⠸⣿⣿⣆⠀⠀⢻⣷⣤⣭⣍⠁⠀ ⠸⣿⣿⣇⡠⠞⣁⠀⠀⣿⣿⣿⣿⠇⣿⣿⡿⣁⠄⣿⣿⣿⣿⣧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢸⣿⡏⣿⣿⠟⠀⠀⠀⢸⠀⠀⣸⣿⣿⣷⠀⠀⠀⣽⣿⣿⣿⣶ ⠀⢻⡿⠉⠑⣙⣭⠉⢧⣟⣿⣿⣿⣠⣿⡟⠀⠀⢀⣛⣛⣻⣿⢿⣧⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠟⣿⠀⠀⠀⠀⢸⡄⢠⣿⣿⣿⣿⣇⠀⣾⣿⣿⠛⠻⣿ ⡄⠘⡧⣤⡼⠣⠻⣠⣼⣿⣿⣿⣿⣼⣿⣳⣶⣿⡿⠿⠿⠿⢿⣿⣿⣇⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⢿⣇⣀⣸⠧⣄⣀⣀⣸⣷⣸⣿⣿⠟⣿⣟⣸⣯⣭⣥⣴⣶⣶