Butt Emojis & Text

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⡇⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⡇⣽ ⡇⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⣿ ⡇⣿⣿⣿⣿⣿⣿⣿⠌⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⣿ ⡇⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣿⣿⣿⣿⣿⣿⣿⢃⣿ ⣿⢹⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⢸⣿ ⣿⢸⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⣼⣿ ⣿⡄⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿ ⣿⡇⢻⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⢃⣾⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣥⢸⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡏⣸⣿⣿ ⣿⣷⢸⣿⣿⣿⣿⣿⡇⢿⣿⣿⢋⣾⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣈⠀⠹⣿⣦⠸⣿⣿⢸⣿⣿⣿⣿⣿⢁⣿⣿⣿ ⣿⣿⡄⣿⣿⣿⣿⣿⣇⢸⣿⠏⠼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣦⣌⠻⣆⢻⡏⢸⣿⣿⣿⣿⠇⣸⣿⣿⣿ ⣿⣿⣧⢸⣿⣿⣿⣿⣿⢸⡿⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢿⡇⣼⣿⣿⣿⡿⢰⣿⣿⣿⣿ ⣿⣿⣿⡄⢿⣿⣿⣿⣿⢸⠇⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢰⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿ ⣿⣿⣿⣧⠸⣿⣿⣿⣿⡆⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣇⢻⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡈⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣛⣛⣛⣩⣴⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⢹⣿⣿⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣌⣙⣛⠛⣛⣋⣭⣼⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡈⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣯⡀⠒⠲⠮⣭⣙⣋⣩⡥⢴⣿⠟⣰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠃⢻⣿⣿⢣⡙⣿⣄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣦⣄⡀⠭⠭⠥⠖⣋⡅⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⣸⠈⣿⣧⡘⢷⣌⠻⣷⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣧⡘⠿⢛⣉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⣀⠠⠹⣌⠻⣦⡙⢷⣄⠙⢷⣦⠙⣿⣿⣿⣿⣿⣿⡿⢃⣾⠏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⣧⡙⣷⡈⠻⣦⡙⠷⣄⠨⣡⣼⣿⣿⡿⠟⣋⣴⡄⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣌⢻⣄⢠⡙⠷⣌⠻⢦⢹⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣧⡙⣦⠹⣷⣬⡑⠆⢸⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣷⣌⣃⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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🍑➕𓂸

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣻⣯⣽⣟⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣿⣿⣿⡹⢁⣴⣷⣿⣿⣷⣆⣤⡀⠠⢬⣉⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⠿⠩⢠⣿⣿⣿⣿⣿⣏⣿⢸⣿⡖⣄⠹⣷⡌⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣼⠂⢸⣿⣿⣾⠯⢟⠋⠿⣿⡿⣳⡿⣳⣿⣷⡈⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣌⡻⣿⢡⣿⡀⢻⣿⣿⣷⣭⣯⡆⢰⣤⣥⣶⣿⣿⣿⣷⠈⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣤⡈⠛⠛⠙⠛⠁⣸⣿⣿⣿⣿⣿⡿⠉⣤⣤⡉⢻⣿⣿ ⣿⣿⣿⣿⣿⠿⠛⢋⣉⣁⣈⣉⣀⣈⣉⣉⣉⣁⡐⠚⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡀⢿⣿ ⣿⣿⣿⠏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡇⢸⣿ ⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢸⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡇⢸⣿ ⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⠇⣸⣿ ⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣧⡈⠛⠿⠋⢠⣿⣿ ⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣾⣿⣿⣿ ⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿ ⣿⣿⣿⣆⠘⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿ ⣿⣿⣿⠋⣠⣶⣶⣶⣶⣶⣶⠂⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿ ⣿⣿⠃⣰⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿ ⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿ ⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿ ⣿⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣆⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿ ⣿⣿⣷⣄⠙⠿⣿⣿⣿⣿⣿⣿⣷⣄⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿ ⣿⣿⣿⣿⣷⡄⢀⣉⣩⣿⣿⣿⠋⢠⣄⣀⣀⣀⣀⡀⢶⣿⣿⣿⣿⣿⣿⣿⣿⡏⢁⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⠈⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣷⡈⠻⣿⣿⣿⣿⣿⣿⡿⢁⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣆⠘⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠉⠛⠻⠿⠏⣠⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣦⣈⠉⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⣠⣀⠁⠈⣀⣄⣷⣿⣿⣿⣴⣤⣤⣦⣿⣿⣿⣿⣿⡟⢻ ⣿⣿⣿⢰⠁⡿⣿⣿⢿⠙⡀⣤⣤⣀⠀⠶⠿⠘⡀⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⡇⣿⣿⣿⣼⢀⠁⠛⠿⠿⠛⠙⠀⣄⠀⡇⣿⣿⣿⣿⣿ ⣿⣿⣼⠀⡏⣿⣿⣿⠙⠟⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⣈⣀⣤⣷⣿ ⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⣿⢿⠻⠀⣧ ⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⣿⣿⣾⠸⠀ ⣿⣿⢻⠀⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣼⠀⠇⣿⣿⣿⢰⠀ ⣿⣿⣿⠀⡇⣿⣿⣿⣠⣄⡄⢦⡳⣔⣿⣾⣴⠀⠆⣷⣷⣽⣴⠀⡟ ⣿⣿⣿⠀⡇⣿⣿⣿⢿⠻⠉⠈⠀⠀⢀⠉⠀⠀⣤⢤⢠⣀⠁⡿⣿ ⣿⣿⣴⠀⠀⠉⡈⣀⣦⣷⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠇⡿⣿⣿⣿ ⣼⠀⠟⡿⣿⣿⣿⢿⠹⠀⣧⣿⣿⣿⣿⣿⣿⣿⣼⠀⡏⣿⣿⣿⣿ ⠈⡇⣿⣿⣿⣿⣿⣿⣿⠸⠀⣿⣿⣿⣿⣿⣿⣿⢸⠁⣿⣿⣿⣿⣿ ⢻⠀⣧⣻⣯⣿⣿⣿⣴⠀⠏⣿⣿⣿⣿⣿⣿⣾⠀⡏⣿⣿⣿⣿⣿ ⣿⢿⠉⣄⣤⣤⣀⢀⠃⡟⣿⣿⣿⣿⣿⣾⣴⢀⠏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠿⡿⢿⠛⠉⡈⣀⣀⣀⢁⠉⠋⠟⡿⣿⣿⣿⣿⣿⣿⣿

⣀⣣⢟⡿⣿⣿⣿⣿⣿⠸⠄⠄⠄⠄⠄⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸ ⠄⠁⣿⣿⣿⣿⣿⣿⣿⣿⢹⠄⠄⠄⠄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠄⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠ ⠄⣿⣿⣿⣿⠿⠿⣛⣝⣮⣿⠑⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠄ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠄ ⠄⣿⣿⣿⣿⣿⣿⣾⣱⠄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠄⠄ ⠄⡆⣿⣿⣿⣴⣡⠚⣿⡅⠙⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠄⠄⠄ ⠄⠄⣀⣛⠏⡻⣿⣷⣿⢘⣽⢿⡛⣌⣶⣿⣿⣿⣿⣿⣿⣿⣿⣼⠄⠄⠄⠄ ⠄⠄⠄⡄⡧⣽⣿⣿⣿⢻⣿⣿⣿⣿⢽⠻⡛⣁⣭⣭⣭⣣⣛⠣⢹⠄⠄⠄ ⠄⠄⠄⠄⠄⡉⣭⣤⣶⣖⣻⣿⣽⡿⣮⣻⣷⣿⣖⣿⣟⢶⢣⣿⣿⠸⠄⠄

⠀⠏⠴⠤⠤⠤⠤⡤⣀⣀⢤⠯⠻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠵⠤⠤⠤⡤⣀⣀⣀⣀⠤⠳⠈⠀ ⠀⣸ ⠀⠀⠀⠞⠀⠀⠀⠀⠇⢲⡴⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣻⠀⠀⠀⡀⢤⠹⠀⠀⠀⠀⢧⠀ ⠀⢸ ⠀⠀⠀⢠⠀⠀ ⠀⠁⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⡀⠀⠀⠈⠀⡇⠀ ⠀⢹⠀⠀⠀⠀⠁⠀⠁⡼⠀⠉⠚⠴⠤⣠⣀⢤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⣀⣦⣶⠛⠈⠀⠀⠀⠀⠀⢿⠰⡼⠀ ⠀⡇⠙⠀⠀⠀⠀⡀⠁⡟⣿⣻⢘⠀⠀⠀⠀⠀⠀⠀⠒⡌⠸⠀⠀⠀⠀⠀⠀⠀⠁⣿⢠⠀⠀⡄⣏⢹⠀⠀⠀⠀⠀⡄⠻⢰⠀ ⠀⡏⣔⠀⠀⠀⡄⠀⡇⣷⣿⣮⣿⠻⠀⠀⠀⠀⠀⠀⠁⢸⢸⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠃⡽⣿⣿⠈⠀⠀⠀⠀⠀⡄⠸⠀ ⠃⣼⠀⠀⠀⠀⠀⢰⡇⠀⣧⢧⣿⣾⠀⠀⠀⠀⠀⠃⡴⠀⢱⠀⠀⠀⠀⠀⠀⠀⡿⢷⠀⠁⣿⣿⣾⢧⣄⠀⠀⠀⠀⠀⠀⣆⠘ ⡟⢀⠀⠀⠀⠀⠀⠀⡆⠀⡇⣧⣳⢰⠀⠀⠀⠁⠋⣰⠀⠀⡆⠘⠀⠀⠀⠀⠀⡏⣸⡀⢹⡇⣏⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠋⣳⣻⣴⠤⠤⠤⡤⣀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢿⢠⠀⡀⢦⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢧⠀⠀ ⠀⠀⠀⠀⡿⣶⢷⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠇⣿⠀⠀⠀⠀⡀⣷⣽⠳⠙⠀⠀⠀⠀⠀⠀⠀⡞ ⡀⢦⠈⠀⠁⠊⡴⢀⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠔⢀⡇⠈⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⡀⢤⣶⠹⠀⠀⠀⠀⠀⠞⢠ ⠀⠀⡀⣀⢀⠀⠀ ⠀⡞ ⠒⠙⣇⠀⠀⠀⣢⢁⠚ ⢄⠲⠒⠖⡷⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡟ ⠀⡟⡾ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⢿⡿⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡿⢿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣷⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⣗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢻⡴⢠ ⠀⠀⠀⠀⠀⠀⠀⡀⢄⡤⢻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣯⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣌⠳⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⣷⢰ ⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⠢⠓⠙⠈ ⠀⠀⠀⠀⠀⡏⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⡤⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢷⠬⠤⠥⡤⣀⣀⡀⣳⣄⢤⣶⠒⠛⠛⠒⠒⠧⡿⣼⠀⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⡏ ⠀⠀⠀⠀ ⠀⠈⣇⠘⠉⡟⣿⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⢹⠀⡁⢹⡄⣿⠸⠀⡟⢿⣿⣾⣇⢹⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸ ⣇⣿⣿ ⣾⣶⣿⢿⠿⣿⣿⣿⣷⣾⣾⠀⠀⡄⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⡇ ⠀⠀ ⣇⣿⣿⢿⠿⣟⣿⣿⣿⣿⣿⣿⢠⣿⠘⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⢸⠀⠀⠁⣿⣿⣷⣜⣿⣿⣿⣿⣿⣿⣿⣰⠀⡆⠘⠀⠀⣿⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⢠⠀⠀⠀⡏⣿⠀⣧⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⢠⠀⠯⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠈ ⠀⠀⠁⣿⢿⠀⡆⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠁⠟⣿⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⠦⡶⣴⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠤⡤⣃⣟⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⣇⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠟⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⢻⡟⣿⣿⢿⠿⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠻⠿⠟⣿⣿⢿⠿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣤⣳⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠙⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⡏⣿⣿⣿⣿⣿⣿⣿⡿⣿⢋⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⠂⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠛⠉⠉⠉⠉⠉⠉⠛⠿⠿⠯⠓⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠉⠉⠋⠟⣿⣿⣿⣿⣶⣶⣾⣤⣶⣷⣿⣿⣾⢡⠋⠗⡯⣴⣤⣤⣦⣶⣿⣿⣿⣿⣿⣽⣭⠀⠀⣀⣐⣇⣿⣿⣻⣉⠉⡉⣧⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⣯⣴⣯⣿⣿⣿⣽⣚⠴⡤⣇⣤⠤⠲⠘⡾⣧⡼⣠⠃⡶⢤⠀⠀⡀⣄⠤⠳⣉⣦⣿⣿⣿⣿⣿⠿⠿⠿⡿⣿⣿⢾⣩⢦⠙⡀⣤⢲⠙⠈⠀⠀⠀⠀ ⠀⠀⠃⢿⢤⣤⢃⣷⣾⣇⢀⠀⠀⠀⣸⠀⠀⠀⡟⢏⣱⠞⣯⣨⠀⠀⠉⠉⠀⠀⠀⠁⡉⢺⡞⣷⣯⣾⣶⣿⣿⣿⣿⣿⣿⠉⡈⣀⣤⢷⠉⠈⠀⣧⢸⠀⠀⠀ ⠀⠏⣧⢰⠀⠃⣱⡼⠀⣾⠀⠀⠀⡇⢸⠀⠀⠃⢹⣻⣰⠏⢠⠀⠀⠀⠀⡀⢍⠗⡬⣀⠀⠀⣄⠳⢧⠀⠀⠀⠀⣀⣄⣦⣲⣙⣍⠳⠈⠀⢸⢦⠘⡇⣧⠀⠀⠀ ⠇⢼⡇⠛⠋⣾⡷⢀⠀⢸⠋⠴⡤⣇⠀⠀⣀⣇⡇⣰⠇⢰⠀⠀⠀⠁⠞⣠⢀⠀⣄⠙⠈⠀⠀⡀⢷⣩⣋⠚⠖⠴⠤⠤⣠⣀⣀⣦⢷⠿⢬⠀⣏⣹⡇⣔⠻⠀ ⡄⣻⣤⣤⠤⠷⡯⠀⠋⣻⠀⠀⠀⡇⠘⠀⠀⡇⣿⠀⣼⠀⠀⠃⡴⣀⠀⠀⠀⠁⠋⡖⢻⠔⠤⣠⣀⢀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠚⠖⡤⣤⣀⢀⡅⡾⠀⣿⠀ ⠀⣇⠮⠲⠙⠉⡆⠹⢀⡇⠈⠀⠀⡀⢹⠀⠀⡀⣿⠏⢠⠁⠞⢠⠀⠀⠀⠁⠞⣠⠀⠀⡄⢳⠙⠉⠉⠚⠒⠗⠽⠶⡤⣀⣀⢀⠀⢄⠤⠉⠋⠗⠿⣴⣠⢃⣿⢰ ⠀⡀⢳⠈⠀⡀⣀⣧⠹⠀⢳⠀⠀⠀⡆⠘⠀⠀⣇⣿⠁⡼⠀⠀⠀⠁⠞⣠⠀⠀⠁⠞⡧⣀⣸⠀⠉⠞⡤⣀⠀⠀⠉⠉⠛⠒⠔⡤⣀⢀⠋⡿⢙⠈⠀⣯⡴⠀ ⠀⠀⠁⣟⢿⠿⠻⡘⣷⠳⡀⠱⠀⠀⠀⣆⠘⠀⠀⣦⡿⠀⠀⠀⠁⡼⠀⠀⠁⠞⣠⠀⡄⠰⠉⡭⢒⠖⠴⡤⣠⣀⢀⠀⠀⠀⠀⠉⠟⡿⣿⣿⣿⢿⡴⢀⠀⠀ ⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⢿⡈⢦⠈⠀⠀⡄⠳⠈⠀⣍⠻⠈⠁⡼⠀⠀⠃⡴⠀⠀⠋⠴⣩⣛⠛⠚⠒⠖⠶⠶⠒⠓⡛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡖⠾⠛⠛⠾⣷⣿⣴⣻⣼⡷⠙⠉⠃⣰⠁⠉⡟⢗⡯⣿⢝⢿⣠⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣀⣄⣤⣿⡴⡇⡾⠀⣷⢸⠁⠀⡇⣀⣉⣻⠀⠀⠀⢀⣼⣟⣤⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⠀⠋⠖⣾⢀⠓⡏⢈⠹⡏⢿⣰⠀⡇⠈⣀⣇⣴⢦⠲⠙⢯⢳⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀ ⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡼⢁⡏⢩⠈⠀⡄⡸⡟⣼⣇⠀⠀⡄⢸⠀⡄⠸⠀⠀⢳⣄⣾⠹⠁⠋⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣸⠀⠀⠀⠀⠀ ⠇⣿⣿⣿⣿⣵⢸⢀⣧⡾⣡⣾⣠⣀⣸⢄⠲⠘⠃⣿⣠⠀⣸⠀⠀⠀⢻⠀⠲⢷⠉⠒⡀⠏⢠⡼⣏⢶⣲⢿⣺⣗⣭⣷⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀ ⡆⢸⣆⣾⣃⢠⢧⠁⡼⡜⡟⠀⠀⡇⢠⠀⠀⠏⣾⣀⡀⣇⢣⠈⠀⠀⣿⠀⠀⡟⡀⢦⠟⢠⠟⣴⣸⠲⠈⢸⢸⠀⣹⣌⣷⣿⣿⣿⣶⣴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⠈⢱⡀⠀⡆⡿⢠⠁⣼⠤⠳⡏⠀⠀⠏⣿⠀⠀⠀⣸⠀⣇⠨⠁⢸⠁⠉⢹⠉⠀⣿⡿⢀⠀⢸⠀⣇⢹⢾⣡⢸⠤⠃⣷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⡝⠱⠄⠳⣿⠄⡠⢸⠀⠀⡇⠀⠀⣷⣼⠀⠀⠇⢠⠀⡇⢸⡇⣠⣀⠀⢸⡀⢧⣼⡇⠀⠀⢸⠀⡇⡾⠀⡏⠀⠀⡼⡿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣼⣽⢦⠙⣾⠘⠀⢸⠀⠀⡇⠀⠀⡿⢸⠀⠀⡇⠀⠀⡄⢸⡞⠀⠀⠀⢸⠀⡏⣯⡟⡶⢁⢸⠀⡇⢸⠀⣇⠀⡟⣶⢠⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⡎⠘⣼⠀⢹⠀⢻⠀⠀⡆⠻⡴⣆⢻⠀⠀⡇⠀⠀⠀⢣⢸⠀⠀⠀⢹⠀⣇⢧⢸⠁⡞⠀⠀⡞⠀⠀⡏⣠⣏⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢦⡟⢰⠀⡆⠈⡆⠘⠀⠏⢳⠀⠀⣷⠘⠀⡄⠸⠀⠀⠀⣷⠦⠓⠙⣇⠈⡄⠹⢦⡽⠀⠀⠏⢠⠀⠃⢰⠃⢻⠀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣄⠦⠒⢿⠉⢯⠙⣀⡆⠘⠀⡄⣽⠳⠈⣇⠈⠀⠀⡆⠸⠀⣄⢤⢷⠰⡈⢧⡘⢦⠟⢠⠀⠋⣰⠋⣿⢻⠾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢦⠙⢧⠈⠀⡀⢳⢉⠉⢯⠙⠈⠀⣆⠙⠀⠀⡁⢯⣚⣖⡤⠶⡒⣗⡶⢒⡴⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⢶⠝⡿⣿⣿⢿⠿⡿⣿⣻⢾⡴⡦⣻⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣷⣿⣿⣿⣾⠀⡀⣀⢁⡛⢻⠀⠀⠀⠁⠉⠛⠛⠛⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣿⣿⠚⠀⠀⠀⠏⣸⢻⠟⡿⣿⣿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣻⢻⣿⣄⢸⠉⠚⠴⣍⢻⣟⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢿⣿⢟⡿⣿⣿⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⣿⣿⣿⣿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹ ⣿⣿⣿⣿⣢⣀⠉⡈⣀⣄⣷⣿⣿⣿⣴⣤⣤⣦⣿⣿⣿⣿⣿⣿⢻ ⣿⣿⣿⣼⠁⡿⣿⣿⢿⠙⡀⣤⣤⢀⠀⠶⠿⠘⡀⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⠐⡏⣿⣿⣿⣼⢀⠁⠛⠿⠿⠛⠙⠀⣄⠀⡇⣿⣿⣿⣿⣿ ⣿⣿⣼⡂⡏⣿⣿⣿⠙⠟⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⣈⣀⣤⣷⣿ ⣿⣿⢹⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⣿⢿⠻⠀⣧ ⣿⣿⢾⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⣿⣿⣾⠸⠀ ⣿⣿⢻⠀⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣼⠀⠇⣿⣿⣿⢰⠀ ⣿⣿⣿⠀⡇⣿⣿⣿⣠⣄⡄⢦⡳⣔⣿⣾⣴⠀⠆⣷⣷⣽⣴⠀⡟ ⣿⣿⣿⠀⡇⣿⣿⣿⢿⠻⠉⠈⠀⠀⢀⠉⠀⠀⣤⢤⢠⣀⠁⡿⣿ ⣿⣿⣴⠀⠀⠉⡈⣀⣦⣷⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠇⡿⣿⣿⣿ ⣼⠀⠟⡿⣿⣿⣿⢿⠹⠀⣧⣿⣿⣿⣿⣿⣿⣿⣼⠀⡏⣿⣿⣿⣿ ⠈⡇⣿⣿⣿⣿⣿⣿⣿⠸⠀⣿⣿⣿⣿⣿⣿⣿⢸⠁⣿⣿⣿⣿⣿ ⢻⠀⣧⣻⣯⣿⣿⣿⣴⠀⠏⣿⣿⣿⣿⣿⣿⣾⠀⡏⣿⣿⣿⣿⣿ ⣿⢿⠉⣄⣤⣤⣀⢀⠃⡟⣿⣿⣿⣿⣿⣾⣴⢀⠏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠿⡿⢿⠛⠉⡈⣀⣀⣀⢁⠉⠋⠟⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹

⣿⣧⣿⢰⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣷⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⣿⢠⠀⠀⠀⠀⠀⠀⠀⡄⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⣧⠀⠁⠉⠉⠈⠀⠀⠀⠀⣿ ⣿⣿⣿⠀⠅⠋⠛⠿⠿⣿⠿⡀⠋⠚⠛⣌⣿⣿⣿⣿⢿⠻⠀⣿ ⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⢸⣿ ⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⢠⣿ ⣿⣿⣿⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣰⡟⣿ ⠀⣿⠻⠚⠐⠁⣦⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⢡⡿⣿⣿ ⠘⣷⣿⠹⣦⢿⡙⣮⣷⣿⣿⣿⣿⣾⣡⣛⢛⣛⢛⠿⣿⣿⣿⣿ ⣿⠙⣧⣿⢻⣄⣧⣿⠿⡚⣛⣐⢃⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠹⣆⣿⢿⡛⣿⣿⢰⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠸⣦⣿⣿⣿⣾⠄⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⣰⠁⠟⣑⣬⠀⠀ ⣄⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣦⣦⠚⣌⣦⢠⠁⠀⡟⢇⠸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⣿⢹⢇⠀⠠⠉⠁⡏⢿⣿⡿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡜⢷⠻⠿⣻⡿⡿⡟⣴⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠻⣍⣦⣶⣴⣥⢋⡿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠷⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠇⣷⢶⠹⠀⠀⠀ ⠁⡝⢚⣷⢿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠁⠉⠈⠀⠀⡀⢦⠉⣄⠑⠀ ⡄⣫⠛⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⣭⣯⣹⣉⣉⣤⠤⣖⠻⡈⢦ ⠄⢯⡴⢀⠀⠀⡄⠤⠢⠛⠈⠀⠀⠀⠀⡟⠚⠒⡀⣦⣷⠿⠤⣶⣛⢍⠤⠶⢰⠀ ⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠣⠋⠴⣠⢀⠀⠀⠀⠀⠀⡀⢄⠶⠓⠉⣀⠀⠀⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊ ⢸⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀ ⡄⠸⠀⠀⠀⠀⠀⠀⠁⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀ ⠀⣇⠘⠀⠀⠀⠀⠁⡿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀ ⠀⡇⣼⠹⠀⠀⠘⡿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀ ⠀⡇⢹⡀⢳⠀⠳⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀ ⠀⡇⢸⠀⠀⢦⠛⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠁ ⠀⡇⢸⠀⠀⠀⢧⠈⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣥⣼⠀⠀⠀⠀⠀⠀⠀⡞ ⠀⡇⢰⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⡏⢠ ⠀⣿⠀⠀⠀⠀⠀⡁⢸⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠋⢰⠀ ⠀⣿⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠋⣼⠀⠀ ⠀⣧⠘⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀ ⠀⡄⢹⠀⠞⢠⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⡼⢀⠀⠀⠀⠀⠀⠀⠃⡠⠀⠀⠀⠆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠁⠉⠛⠑⠉⠀⠁⠋⣴⣤⣀⣀⡀⣀⣀⣀⣀⣤⠤⠶⠙⠉⠉⠀⠀⠀⠀⠀ ⠀⠏⡤⠀⠀⠀⡀⢧⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⡈⣤⠦⠓⠈⠀ ⡏⢀⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⠀⠀⣦⠘ ⣽⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣧ ⡇⠛⠉⠀⠁⠿⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⡇ ⡘⠀⣼⠋⣠⡀⢳⠀⡄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⡇ ⢸⡿⠖⢠⠀⠉⡘⢦⠙⡞⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⢧⠈⠀⠀⠀⡇ ⢸⠀⡀⣄⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣄⠀⠀⠀⡇ ⢸⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏ ⣸⣤⣷⠛⠀⠀⠟⠿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰ ⢳⠀⠀⠁⠀⠀⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣴⠀ ⡀⠧⠈⡀⢷⠙⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀ ⠀⠀⣆⠙⠀⣦⢿⠻⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⢀⠀⠀⠀ ⠀⠀⠀⡀⢦⠉⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠞⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣄⠲⠒⠑⠉⠉⠉⠉⠉⠉⠉⠉⠋⠚⠶⣤⢀⠀⠀⠀⠀⠀⠀⠀

┻━┻ ︵╯)'□'╯(⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⣾⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢿⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⢻⠈⠀⠀⠀⠀⠀ ⠀⠃⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⠀⠀ ⠁⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⠻⠈⠀ ⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠙ ⡀⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠈⠀⠀⡄⣿ ⠀⡆⢹⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⡿ ⠀⠀⣦⠹⠀⠀⣇⢸⠀⠀⠀⠀⠃⠈⠀⠀⠀⠀⠁⠙⠀⠀⠀⠀⠀⣿⠀⠀⠁⡟⣰ ⠀⠀⠀⣆⠹⠀⡀⢻⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⡆⣾⠀⠀⠀⠀⠁⣸⠁⠟⣾⢀⠀ ⠀⠀⠀⠀⣀⣤⠦⣿⠘⠀⠀⠀⡇⢸⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⡇⣿⣾⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⢿⠉⠀⠀⡏⢸⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⡿⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣤⣶⣿⢸⠀⠀⠀⠀⡇⢻⠈⠀⠁⡟⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⡇⣿⣶⣶⣶⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢿⠙⠀⠁⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀┻━┻ ︵╯)'□'╯(

ඞ🍑

⣀⣀⣀⣀⣀⣁⢛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⠄⠄⠄⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣾⣭⢟⠿ ⠄⠄⠄⠄⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣾⣫⠿⣿⣿⣿ ⠄⠄⠄⠄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣭⣭⣭⢩⣢⣛⠿⡿⣿⣮⣿⣿⣿⣿⣿ ⠄⠄⠄⠄⡀⣤⣶⣷⣿⣵⣛⠿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣎⣿⣿⣿⡹⣷⣿⣾⣶ ⠄⠄⠄⠄⠇⠘⠄⠄⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢠⠄⠄⡀ ⠄⠄⠄⠄⡄⣿⠄⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠄⠄⠄⠄ ⠄⠄⠄⠄⠇⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠄⠄⠄⠄ ⠛⠉⠙⠄⣋⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠄⠄⠄⠄⠄ ⣿⣜⢿⡄⣞⣿⣿⢻⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠄⠄⠄⠄⠄⠄⠄ ⣄⢠⣿⢹⡘⣿⣿⣿⣵⡩⣬⣶⣶⣷⣿⣿⣿⣾⣶⣤⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⣿⠹⣷⣸⢈⣾⣫⠿⣿⣴⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⣿⣿⡘⢠⢱⣷⣿⣴⢉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⣿⣿⢈⠻⡆⢃⠷⣿⣶⠹⠘⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄

(‿☼‿) 𓂸 (use blitz for more :3)

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⠀⠏⠴⠤⠤⠤⠤⡬⣀⣀⣀⢤⠯⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠵⠤⠤⠤⡤⣀⣀⣀⣀⠤⠳⠈⠀ ⠀⣸⠀⠀⠀⠞⠀⠀⠀⠀⠀⠇⢲⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣻⠀⠀⠀⡀⢤⠹⠀⠀⠀⠀⢧⠀ ⠀⢸⠀⠀⠀⢠⠀⠠⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⡀⠀⠀⠈⠀⡇⠀ ⠀⢹⠀⠀⠀⠀⠀⠉⠀⠁⡼⠀⠉⠚⠴⠤⣠⣀⢤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⣀⣦⣶⠛⠈⠀⠀⠀⠀⠀⢿⠰⡼⠀ ⠀⡇⠙⠀⠀⠀⠀⡘⠁⡟⣿⣻⢘⠀⠀⠀⠀⠀⠀⠀⠒⡌⠸⠀⠀⠀⠒⠀⠀⠀⠁⣿⢠⠀⠀⡄⣏⢹⠀⠀⠀⠀⠀⡄⠻⢰⠀ ⠀⡏⣔⠀⠀⠀⡄⠨⡇⣷⣿⣮⣿⠻⠀⠀⠀⠀⠀⠀⠁⢸⢸⠀⡇⡀⡇⠀⠀⡇⢸⠀⠀⠃⡽⣿⣿⠈⠀⠀⠀⠀⠀⡄⠸⠀ ⠃⣼⠀⠀⠀⠀⠀⢰⡇⠀⣧⢧⣿⣾⠀⠀⠀⠀⠀⠃⡴⠀⢱⠀⠀⠀⣼⠒⡷⠀⠀⡿⢷⠀⠁⣿⣿⣾⢧⣄⠀⠀⠀⠀⠀⠀⣆⠘ ⡟⢀⠀⠀⠀⠀⡁⠀⡆⠀⡇⣧⣳⢰⠀⠀⠀⠁⠋⣰⠀⠀⡆⠘⠀⡇ ⡇⠀⡏⣸⡀⢹⡇⣏⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⣾⠀⠀⠀⠀⠀⡀⠀⠀⠋⣳⣻⣴⠤⠤⠤⡤⣀⠀⠀⠀⠀⠈⢧⡇ ⠀⡇⠀⢿⢠⠀⡀⢦⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢧⠀⠀⠀⠀⠀⠀⡿⣶⢷⣰⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢻⡇⡇ ⠀⡇⠇⣿⠀⠀⠀⠀⡀⣷⣽⠳⠙⠀⠀⠀⠀⠀⠀⠀⡞ ⡀⢦⠈⠀⠁⠊⡴⢀⠀⣼⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠒⠔⢀⡇⡇ ⠀⡇⡇⣸⠀⠀⠀⠀⠀⠀⡀⢤⣶⠹⠀⠀⠀⠀⠀⠞⢠ ⠀⠀⡀⣀⣀⠀⠀⠀⡞⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠙⠈⣇⡿⡿⣿⣢⢁⠚⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠲⠒⠖⡷⢀⠀ ⠀⠀⠀⠀⠂⠀⠀⠇⣿⢀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡟⣿⣿⣿⡾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣷⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀ ⠀⠀⠀⠀⠀⠀⠐⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣷⠈ ⠀⠀⠀⠀⠀⠀⠠⡇⣗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢻⡴⢠ ⠀⠀⠀⠀⠀⠀⠠⡀⢄⡴⢻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣯⢀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⡇⣌⠳⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠴⠀⠀⠊⣷⢋⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⣄⣤⠢⠓⠙⠈⠀⠀⠀⠀⠀⠑⡿⣿⣿⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⡤⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⣤⢷⠬⠤⠥⡤⣀⣀⡀⣳⣄⢤⣶⠒⠛⠛⠒⠒⠧⡿⣼⠀⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⡓⠀⠀⠀⠀⡇⠺⠙⠉⠀⠀⣇⠘⠉⡟⣿⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⢹⠈⠀⠀⠀⠀⡁⢹⡄⣿⠸⠀⡟⢿⣿⣾⣇⢹⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⣿⣶⣶⣷⣾⣶⣶⣾⣶⣿⢿⠿⣿⣿⣿⣷⣾⣾⠀⠀⡄⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⣼⠀⠀⠆⠓⠁⠛⢿⠿⣟⣿⣿⣿⣿⣿⣿⢠⣿⠘⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⠀⠀⠀⠁⣿⣷⣜⣿⣿⣿⣿⣿⣿⣿⣰⠀⡆⠘⠀⠀⣿⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⢠⠀⠀⠀⡏⣿⠀⣧⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⢠⠀⠯⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠈⠀⠀⠁⣿⢿⠀⡆⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠁⠟⣿⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠦⡶⣴⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠤⡤⣃⣟⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⣇⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠟⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀

(っ´ཀ`)っ (‿ώ‿)

(‿ˠ‿)ԅ(‾⌣‾ԅ)

⣿⣿⣼⢃⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡘⣷⣿⣿⣿ ⣿⣿⢐⡾⣶⣤⣤⣴⢰⣵⣭⣭⣭⣭⣬⣶⣷⠂⣿⣿⣿ ⣿⣿⢣⡿⣿⣿⣾⢰⡀⣦⣷⣿⣿⣿⣿⣿⢿⠙⣄⣧⣿ ⣿⢶⡋⢟⠿⠾⠃⠟⠿⠿⠿⠿⡛⣟⣿⣿⣿⣿⠜⡠⣿ ⣼⡟⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⡏⣿ ⠐⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠄⡏⣿ ⠝⡎⣿⣿⣿⢻⣆⣿⣿⣿⣿⣿⣿⣶⣤⣀⠄⠄⡟⣿⣿ ⣿⠻⡘⣤⣤⣤⢤⡄⣤⣤⣤⣠⠄⠄⠄⠄⠄⠃⣿⣿⣿ ⣿⣿⣿⣿⠻⠛⠐⠄⠄⠄⠄⠄⠄⠁⠉⠛⠹⡷⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⡸⣧⣿⡽⣿⣿⣿⣿⣿⣾⠅⣛⣽⣯ ⣿⣿⣿⣿⣿⣿⣿⠐⡤⣶⣤⣶⣶⣶⣶⣼⢏⣿⣿⣸⡞ ⣿⣿⣿⣿⣿⣾⣓⢇⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣧⡹ ⣿⣿⣿⣿⣿⢸⠼⠤⠤⠤⠦⠓⠄⣿⣿⣿⣿⣿⣳⣿⡿ ⣿⣿⣿⣿⣿⠸⢀⠄⠄⠄⠄⡄⠘⣽⣿⣿⣿⣼⣿⣿⣿ ⣿⣿⣿⣿⣿⢸⠈⠄⠄⠄⠄⠄⢸⣧⣿⣿⣿⣭⣿⣿⣿ ⣿⣿⣿⣿⣿⣯⢹⠈⠄⠄⠄⢀⢄⡙⣭⣻⢸⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣾⢀⠄⠧⠄⡇⣿⣻⠟⣻⢀⡇⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢈⠄⠃⢛⠄⡇⣾⣿⣕⣤⠰⠄⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⢀⠄⠄⣶⠠⡀⡐⠃⠠⡀⢀⠄⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⠠⠄⠄⠄⠄⠄⠄⠄⠐⠄⠄⠄⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠁⡟⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⠛⠉⠄⠄⠁⠄⠉⠛⠛⣿⣿⣿⣿

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠁⠋⠛⠙⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣠⣀⣀⠀⡀⣧⠘⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀⣁⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠺⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠷⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠾⣤⣤⣦⠻⠀⠁⡏⢠⠀⠀⠀⠀⠃⢻⠉⠉⠉⠉⡏⠸⠀⠀⠀⠀⡀⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢷⠛⠀⠀⡇⠟⣷⣸⠀⠀⠀⠀⠀⡀⣸⠀⠀⠀⠀⣀⣤⠷⠙⠀⠀⠀⡀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠃⣾⢁⡟⢠⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡆⢹⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⣶⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀ ⠀⠀⠀⠀⠉⡯⢻⡞⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠃⠟⣽⣉⢀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⣹⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀ ⠇⣼⢀⣄⣏⢿⠼⠷⠀⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣤⢀⣀⢀⠈⠀⠀⠀⠀⠀⠀⡟⢀⠀ ⡗⢠⠀⠙⣦⣶⣴⠀⠀⠀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠈⠀⠀⠀⣀⣀⢤⠶⠛⠈⡞⢠⠀⠀ ⡇⣾⣶⢀⠀⠀⠀⣶⠹⠉⡍⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢦⠛⠉⠀⠀⠀⠀⡀⣦⢻⠈⠀⠀ ⡀⢻⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⣄⢷⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⢿⠙⠀⠀⠀⡀⢷⠘⠀ ⠀⣷⢶⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠶⠓⠙⠉⠉⠉⠉⠉⠋⠚⠶⡤⣀⡄⢷⠈⠀⠀⠀⣷⠘ ⠀⡆⢹⡀⣟⢴⠶⠿⠀⠀⠀⠀⠁⠟⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⡀⢸ ⠀⠀⣦⣶⢀⠀⠀⣿⠀⠀⠁⠞⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢀⠀⠀⠀⣧⢸ ⠀⠀⠀⠀⠀⠀⠀⣦⠶⡴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⢀⠀⠀⠀⠁⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠖⡤⣠⢀⠀⠀⠀⠀⠋⣶⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣼⣀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠲⠁⠉⠀⠉⠉⠋⠛⠖⡤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀

(‿∣‿) slap 🤤(‿∣‿) slap 🤤

𓂺

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⠀⠏⠴⠤⠤⠤⠤⡤⣀⣀⣀⢤⠯⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠵⠤⠤⠤⡤⣀⣀⣀⣀⠤⠳⠈⠀ ⠀⣸⠀⠀⠀⠞⠀⠀⠀⠀⠀⠇⢲⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣻⠀⠀⠀⡀⢤⠹⠀⠀⠀⠀⢧⠀ ⠀⢸⠀⠀⠀⢠⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⡀⠀⠀⠈⠀⡇⠀ ⠀⢹⠀⠀⠀⠀⠀⠁⠀⠁⡼⠀⠉⠚⠴⠤⣠⣀⢤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⣀⣦⣶⠛⠈⠀⠀⠀⠀⠀⢿⠰⡼⠀ ⠀⡇⠙⠀⠀⠀⠀⡀⠁⡟⣿⣻⢘⠀⠀⠀⠀⠀⠀⠀⠒⡌⠸⠀⠀⠀⠀⠀⠀⠀⠁⣿⢠⠀⠀⡄⣏⢹⠀⠀⠀⠀⠀⡄⠻⢰⠀ ⠀⡏⣔⠀⠀⠀⡄⠀⡇⣷⣿⣮⣿⠻⠀⠀⠀⠀⠀⠀⠁⢸⢸⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠃⡽⣿⣿⠈⠀⠀⠀⠀⠀⡄⠸⠀ ⠃⣼⠀⠀⠀⠀⠀⢰⡇⠀⣧⢧⣿⣾⠀⠀⠀⠀⠀⠃⡴⠀⢱⠀⠀⠀⠀⠀⠀⠀⡿⢷⠀⠁⣿⣿⣾⢧⣄⠀⠀⠀⠀⠀⠀⣆⠘ ⡟⢀⠀⠀⠀⠀⠀⠀⡆⠀⡇⣧⣳⢰⠀⠀⠀⠁⠋⣰⠀⠀⡆⠘⠀⠀⠀⠀⠀⡏⣸⡀⢹⡇⣏⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠋⣳⣻⣴⠤⠤⠤⡤⣀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢿⢠⠀⡀⢦⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢧⠀⠀⠀⠀⠀⠀⡿⣶⢷⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠇⣿⠀⠀⠀⠀⡀⣷⣽⠳⠙⠀⠀⠀⠀⠀⠀⠀⡞ ⡀⢦⠈⠀⠁⠊⡴⢀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠔⢀⡇⠈⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⡀⢤⣶⠹⠀⠀⠀⠀⠀⠞⢠ ⠀⠀⡀⣀⣀⠀⠀⠀⡞⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠙⠈⣇⡿⡿⣿⣢⢁⠚⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠲⠒⠖⡷⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡟⣿⣿⣿⡾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣷⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣷⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⣗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢻⡴⢠ ⠀⠀⠀⠀⠀⠀⠀⡀⢄⡤⢻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣯⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣌⠳⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠴⠀⠀⠊⣷⢋⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⠢⠓⠙⠈⠀⠀⠀⠀⠀⠑⡿⣿⣿⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⡤⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢷⠬⠤⠥⡤⣀⣀⡀⣳⣄⢤⣶⠒⠛⠛⠒⠒⠧⡿⣼⠀⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⡓⠀⠀⠀⠀⡇⠺⠙⠉⠀⠀⣇⠘⠉⡟⣿⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⢹⠈⠀⠀⠀⠀⡁⢹⡄⣿⠸⠀⡟⢿⣿⣾⣇⢹⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⣿⣶⣶⣷⣾⣶⣶⣾⣶⣿⢿⠿⣿⣿⣿⣷⣾⣾⠀⠀⡄⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⣼⠀⠀⠆⠓⠁⠛⢿⠿⣟⣿⣿⣿⣿⣿⣿⢠⣿⠘⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⠀⠀⠀⠁⣿⣷⣜⣿⣿⣿⣿⣿⣿⣿⣰⠀⡆⠘⠀⠀⣿⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⢠⠀⠀⠀⡏⣿⠀⣧⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⢠⠀⠯⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠈⠀⠀⠁⣿⢿⠀⡆⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠁⠟⣿⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠦⡶⣴⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠤⡤⣃⣟⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⣇⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠟⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀ ⠀

⠄⠄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠄⠄⠄ ⠄⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠈⠄⠄ ⠄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⢀⣿⣿⣾⣶⣶⣶⣶⣶⣷⣾⡳⢷⠘⠄ ⠄⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣈⠗⡿⣿⣿⣿⣿⢿⠿⣸⣿⡧⢹⠈ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣧⣿⣿⣿⣿⣿⣿⣿⡻⣧⣟⢸ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣇⢸ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢹⣌⢯ ⠄⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣼⡉⣄⢰ ⠄⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿⣿⣼⢅⣾⠯⣰ ⠄⠄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⣿⣿⣿⣿⣿⣿⣰⠎⣽⢟⡿⢸ ⠄⠄⠄⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣡⠌⢩⣎⣿⣿⣿⣴⢀⠃⡿⣿⣿⣿⢀ ⠄⠄⠄⠄⠄⣛⣭⣦⣶⣶⣥⣭⣈⢏⠫⣛⣛⢉⠍⠩⣀⢀⠄⠄⡷⣭⣯⣷⣿⠄ ⠄⠄⠄⠄⠁⡍⣦⣾⢶⠵⠭⡢⣛⣉⣚⠴⠯⠭⠭⠭⠄⠄⠄⡇⣭⢌⠤⣧⣼⠄ ⠀⠄⠄⠁⡿⣿⣿⢿⠜⠿⡿⣭⢶⣻⣿⣽⢌⠅⣥⢭⡥⠈⠄⠄⣿⣝⣮⠶⡿⢠ ⠄⠀⠄⠏⢢⣟⣿⣿⣿⣿⡇⠽⣭⣯⣿⣿⣿⠣⠃⣱⣥⡾⣷⠈⠄⠼⡳⣽⣛⠟ ⠄⠀⠁⣯⡐⡿⣿⣿⣿⣿⡇⣿⣾⣿⣿⣿⣿⠿⢹⡧⣿⢇⡇⢿⠸⣳⠿⡻⣿⣿

( ㅅ ) . 💩

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⢶⣻⣿⣷⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⣥⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣱⣿⣿⣿⣿⣿⣹⠙⣏⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⢕⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣼⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣜⣾⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⡿⢹⡗⠈⡛⠛⠽⠿⠿⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡝⢈⣿⣿⣿⣿⣿⣷⣿⣿⠻⠍⠀⠀⣰⡿⣿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⡐⠏⣰⢻⣿⣿⠘⣇⠀⠉⠀⠀⠀⠀⢈⠁⣿⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣽⣿⣿⣿⣿⣿⣷⣬⠨⣿⡇⠐⠌⠁⠀⠀⠀⠀⠀⠀⠀⣿⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣲⣿⣿⣿⣿⣿⣿⣿⡇⠆⢽⣿⢀⠀⠀⠀⠀⠀⠠⠤⢀⣾⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠘⣿⠀⡑⢢⣀⡀⠀⠀⣴⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣇⢤⠉⣾⣿⣿⣾⡿⠋⢰⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣠⠤⠙⠦⠑⠛⠈⠃⠀⠠⡀⢸⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣜⣿⣿⣿⣿⣿⣿⣿⠃⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠏⣠⠊⡒⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣯⣿⣿⣿⣿⣿⣿⣿⡇⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡌⠥⠜⢁⣤⠆⠆⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡘⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣗⣄⠟⣠⠆⣷⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡌⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⢳⣾⣍⠈⠊⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣽⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣆⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⣿⣿⣶⣥⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣦⣀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⣿⡿⣞⣳⢯⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⣽⣻⣾⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠅⠀⢿⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⢿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣾⣿⣿⣿⣿⣿⠺⠀⠀⠀⠀⠌⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⣾⣿⣿⣿⣿⣿⣿⠸⠭⣈⠍⠓⠃⠈⢿⣿⣿⡿⠛⡆⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠈⠙⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢘⣿⣿⣿⣿⣿⣿⡏⠈⠓⠋⠀⠀⠀⠀⠈⣋⠀⢰⠀⢃⠀⠀⠀⠀⠀⠀⠀⠁⣀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡠⠀⠆⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠃⠤⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠐⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⠲⠘⠚⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢁⠀⠀ ⠀⢻⣿⣿⣿⣿⢷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠁⠀⠀⢸⡷⣤⣤⣄⣀⣢⣀⣤⣤⣤⡄⠒⠉⠀⠉⢈⠉⠦⣄⠀⠀⠂⠀ ⠀⣼⢿⣾⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠀⢀⠨⠕⠳⠾⠿⢷⣯⢷⣻⣼⠇⠀⠀⠀⠀⠈⠦⠼⣁⠱⣆⡀⡆ ⢰⣯⢿⣿⣿⠎⠀⠀⠀⠀⠀⠀⠀⠀⢀⠨⣁⡀⠤⠴⠐⠈⠈⠀⠀⠀⠀⠀⠀⠀⠉⢋⠷⣻⠀⠀⠀⠀⠀⠀⢁⠂⢱⢂⢾⠀⠁ ⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⢎⡐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢒⡱⡆⠀⠀⠀⠀⠀⠚⠃⡘⣸⠆⡜⠀ ⠘⣿⣿⢱⣿⢾⠀⠀⠀⠀⠀⠔⠀⠀⢀⣏⢢⠘⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠥⢳⡀⠀⠀⠀⠀⠀⢨⢺⡙⠊⠀⠀ ⠀⣿⣸⣿⣿⠇⠀⠀⠀⢀⢆⠀⠀⠀⢾⡣⢎⡱⢠⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢣⢆⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⢨⣯⣿⣿⣇⠀⠀⠀⢀⡷⢁⠂⠀⠀⣾⣳⡉⢦⡁⠎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⢿⣿⡀⠀⠀⣼⡑⢂⠄⠀⠀⣿⣥⡛⣤⢃⠒⡄⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠘⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⢿⣸⣯⡷⠀⢀⣧⠹⣄⠊⡄⠠⢿⡶⣝⢦⣋⠖⡌⣄⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠍⢢⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣻⣿⣷⢸⠀⠠⣏⡳⢤⢋⡔⢣⢻⡿⣝⡾⣜⠺⣔⢢⠣⡔⢨⢀⡀⠀⠀⠀⠀⠀⠀⠀⠄⡘⢠⠚⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣓⠃⠀⠀⣯⡳⣭⡚⡼⢭⡳⣿⣿⠼⣭⢻⡬⣇⡻⣌⢇⡲⡀⠆⠀⠀⠀⠀⠀⠀⠀⢀⠂⠱⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⡧⠀⠀⠀⠸⣷⢣⣝⣣⢏⡷⣫⢿⣿⣼⢣⢿⣜⡷⣭⢮⡱⣑⠎⡐⠀⠀⠀⠀⠀⠀⠀⠠⢁⢃⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⣿⣿⣆⢀⠀⠀⠻⣳⠜⡤⢋⠰⠉⠎⢻⢿⣿⣷⢺⣝⣮⠳⣇⢇⠚⠄⠂⠀⠀⠀⠀⠀⠀⠀⠄⠨⠌⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⣽⣿⡿⣿⣍⢖⡀⠀⢹⡝⡰⠀⠀⠀⠀⠀⢊⣿⣿⡗⡾⣜⡻⡜⡬⡘⠠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠄⠣⢜⡄⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⢿⡙⣿⣯⣶⠀⢸⢧⡑⠀⠀⠀⠀⠀⠀⠼⣿⣿⡱⣏⢷⡹⡰⢡⠁⠠⠀⠀⠀⠀⠀⠀⠀⠐⢈⠁⠎⣇⠀⠀⠀⠀⠀ ⠀⠀⢿⣿⣾⣷⣸⣯⣿⣇⢸⢧⡘⠀⠀⠀⠀⠀⠀⠘⣿⣿⣞⡽⣎⢷⡙⣆⡉⢄⠀⠀⠀⠀⠀⠀⠀⠀⢂⠘⡰⠸⡄⠀⠀⠀⠀ ⠀⠀⠸⣿⣳⣿⣷⢿⣟⣿⢸⢦⡑⠀⠀⠀⠀⠀⠀⠠⢹⣾⣿⡼⣹⢎⡗⢦⠱⡈⠔⡀⠀⠀⠀⠀⠀⠀⠂⠌⡰⢡⢇⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣽⣿⣿⣿⣻⢸⡇⢆⠁⠀⠀⠀⠀⠀⠀⠱⣻⣿⣷⢫⡞⡽⣎⠧⣙⠰⣀⠂⡀⠀⠀⠀⠠⠁⠌⡰⢡⢚⡄⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣾⣿⣿⣿⣿⡙⢆⠀⠀⠀⠀⠀⠀⠀⠐⣽⣻⣿⣿⣜⡳⣭⠞⣔⠣⡔⢂⠔⡀⠄⠐⡀⢁⠂⡡⠢⣍⠦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣿⣯⣟⣿⣄⡂⠀⠀⠀⠀⠀⠀⠐⡰⢿⣿⣿⣮⢷⡹⣞⢬⡓⡌⢆⠢⡐⠄⢂⠐⠠⡁⢆⠱⣌⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡟⠿⠟⠛⠁⠀⠀⠀⠀⠀⠐⢯⣿⣿⣿⣷⢻⡜⣧⠳⡜⢪⡑⢄⠣⠐⡈⡐⠰⢈⠒⡬⣙⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢏⡒⡀⠀⠀⠀⠀⠀⠀⠀⠈⢖⣯⣿⣿⣿⡯⡿⣜⡳⣍⠧⣘⢌⡒⢡⢂⠡⠂⡅⢚⠴⣡⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡧⢜⠠⠀⠀⠀⠀⠀⠀⠀⢈⠲⣼⣻⣿⣿⠇⠙⡷⣝⣎⠳⣥⢊⠴⡁⢆⠡⢃⠜⣨⠒⣥⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣌⠒⠀⠀⠀⠀⠀⠀⠀⡀⠳⣜⣿⣽⣿⠀⠀⠈⢿⣜⡳⢆⡏⢲⠉⠦⡑⢌⠢⣅⢛⡤⠇⠀⠀

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Grass is a type of plant with narrow leaves growing from the base. Their appearance as a common plant was in the mid-Cretaceous period. There are 12,000 species now.[3] A common kind of grass is used to cover the ground in places such as lawns and parks. Grass is usually the color green. That is because they are wind-pollinated rather than insect-pollinated, so they do not have to attract insects. Green is the best colour for photosynthesis. Grasslands such as savannah and prairie are where grasses are dominant. They cover 40.5% of the land area of the Earth, but not Greenland and Antarctica.[4] Grasses are monocotyledon herbaceous plants. They include the "grass" of the family Poaceae, which are called grass by ordinary people. This family is also called the Gramineae, and includes some of the sedges (Cyperaceae) and the rushes (Juncaceae).[5] These three families are not very closely related, though all of them belong to clades in the order Poales. They are similar adaptations to a similar life-style. With about 780 genera and about 12,000 species,[3] the Poaceae is the fifth-largest plant family. Only the Asteraceae, Orchidaceae, Fabaceae and Rubiaceae have more species.[6] The true grasses include cereals, bamboo and the grasses of lawns (turf) and grassland. Uses for graminoids include food (as grain, shoots or rhizomes), drink (beer, whisky), pasture for livestock, thatch, paper, fuel, clothing, insulation, construction, sports turf[broken anchor], basket weaving and many others. Many grasses are short, but some grasses can grow tall, such as bamboo. Plants from the grass family can grow in many places and make grasslands, including areas which are very dry or cold. There are several other plants that look similar to grass and are referred to as such, but are not members of the grass family. These plants include rushes, reeds, papyrus and water chestnut. Seagrass is a monocot in the order Alismatales. Grasses are an important food for many animals, such as deer, buffalo, cattle, mice, grasshoppers, caterpillars and many other grazers. Unlike other plants, grasses grow from the bottom, so when animals eat grass they usually do not destroy the part that grows.[7] This is part of the reason why the plants are so successful. Without grass, more soil might wash away into rivers (erosion).

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠇⣷⢶⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡝⢚⣷⢿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠁⠉⠈⠀⠀⡀⢦⠉⣄⠑⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣼⣫⠛⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⣭⣯⣹⣉⣉⣤⠤⣖⠻⡈⢦⠘⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠇⣳⠴⢯⡴⢀⠀⠀⡄⠤⠢⠛⠈⠀⠀⠀⠀⡟⠚⠒⡀⣦⣷⠿⠤⣶⣛⢍⠤⠶⢰⠀⣆⠘⠋⣿⣴⠀ ⠀⠀⠀⠀⠀⣧⣸⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠣⠋⠴⣠⢀⠀⠀⠀⠀⠀⡀⢄⠶⠓⠉⣀⠀⠀⠀⠀⣄⢹⡇⢀⠀ ⠀⠀⠀⠀⠀⡏⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⡄⣷⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⠀⠀⡄⢳⠀ ⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⠀⡀⠹ ⠀⠀⠀⠀⠀⢸⡇⠈⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⠑⠀⠀⠀⠃⣾ ⠀⠀⠀⠀⠇⢀⡇⢸⠀⠀⠀⠀⠀⠀⠃⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⣀⣳⣾⠓⣴⠀ ⠀⠀⠀⠀⡟⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠁⢸⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠁⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡏⢠⠀⠀ ⠀⠀⠀⡾⠀⠀⠀⠀⣇⠘⠀⠀⠀⠀⠁⡿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀ ⠀⠀⠇⢠⠀⠀⠀⠀⡇⣼⠹⠀⠀⠘⡿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀ ⠀⡇⡾⠀⠀⠀⠀⠀⡇⢹⡀⢳⠀⠳⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀ ⠀⡇⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⢦⠛⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⡇⢀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⢧⠈⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣥⣼⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⢷⠀⡶⣶⡠⣤⢦⡴⡷⣯⡿⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⡁⢸⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠋⢰⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠋⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠘⠀⠀⠀⠀⠀⡄⢹⠀⠞⢠⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇⡼⢀⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠈⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠐⠀⠀⡆⠘⠀⠀⠀⠇⡼⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠢⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠛⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠋⡴⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠛⠛⠚⠶⠶⠶⠴⠤⠤⠤⠦⠶⠶⠴⠤⠶⠶⠶⠿⠻⠛⠛⠛⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣴⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣤⣤⣦⠶⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠟⣿⣾⣖⣭⡬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣄⣳⣬⢷⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⣾⣣⠯⡺⣯⢼⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠻⣿⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣾⣴⣡⣋⢟⢰⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠛⠀⠀⠀⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠃⠸⠀⠀⠀⠀⠁⠼⠀⠀⠀⣇⠟⡿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⢿⣾⣯⣒⣤⢠⠀⠀⠉⠉⠛⠙⠉⡏⠙⠉⡏⢻⠛⠛⡟⢻⠛⠟⠿⠿⠿⠶⠶⠶⣶⢶⠴⠶⠷⠿⡿⣿⠟⠙⠻⣿⣿⣟⣼⠀⠀⠉⠛⠈ ⠀⠁⠿⠷⡙⣮⣿⠋⠉⠛⠿⡿⣿⣤⣤⢧⢿⣬⣤⣤⠤⣤⣠⣀⣧⣿⣸⣄⣧⣿⣄⣠⣣⣿⣹⣀⣀⣆⣿⣹⣀⣁⣿⣿⣧⣿⣶⣿⣻⠶⡶⣥⣿⣾⢠ ⠀⡆⢻⠀⡀⣄⣤⣦⣷⢟⣿⢿⠛⠉⠛⡟⣿⢿⠿⠶⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣤⣤⣤⣤⣤⣤⣙⢏⠿⠿⣾⣠⢀⠀ ⠀⠀⣧⠙⠀⠀⠀⠀⠀⠀⠁⡩⣻⣿⣿⣿⢿⠿⠿⠷⠷⠾⠾⠶⠶⠶⠶⡷⣿⣾⢷⣾⣶⣶⣾⣶⣶⠶⠿⡿⣶⠶⠿⠻⠛⠉⡁⣋⣿⣴⣠⠀⠀⠀⠀ ⠀⠀⡀⣦⠿⠲⠘⠋⠟⡴⣠⣀⢀⠈⣀⢀⡤⣙⣄⢠⣉⣤⣀⣄⠶⠾⣠⣗⣇⣿⣀⣀⢧⠛⡤⣤⠷⠽⣠⢀⠀⡉⣿⠿⡻⣿⣿⣻⠉⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢧⠿⣿⣿⢿⠙⠈⠀⣀⡦⣟⢰⠋⠘⠀⣀⠀⠄⠤⣤⠠⠙⡀⣀⢄⠀⠤⠉⠉⡏⣵⠉⡖⣴⣤⣀⢉⠉⠉⠉⠉⠉⠉⡈⣆⢿⠀⠀⠀⠀ ⠀⠀⠀⠟⣾⣴⣄⣤⢰⠀⠳⣀⣀⢤⠾⡟⠿⡿⢺⠛⠞⠴⡤⣉⣀⣀⣀⣀⣤⡤⣶⣶⣿⣿⣠⣀⠉⠚⠿⣯⣻⢙⠈⠁⠋⠞⡾⣯⡝⠋⣿⠀⠀⠀⠀ ⠀⠀⡇⣿⡴⢛⠉⣈⣀⣃⢾⠙⠛⠙⣇⡻⣾⣏⣼⣠⣄⣶⣙⠀⠀⠿⠿⠿⠾⠓⠘⡟⣠⣦⠳⡬⢀⡟⣉⠿⡾⣴⣀⣦⠶⢶⡤⣷⣿⣻⠀⠀⠀⠀⠀ ⠀⠀⡀⣦⢷⣟⡿⣚⢦⡙⢿⣶⣠⣀⣄⣶⣶⣴⠀⠀⠀⠀⡀⣤⢶⣥⢈⡀⢶⡻⣾⢠⠀⠀⠀⣀⣤⣤⣠⣀⠀⠀⠀⠀⠀⠀⠁⡗⣿⣿⠛⠈⠀⠀⠀ ⠋⠚⠛⠟⣾⣆⣼⣀⣀⣀⢀⠀⠉⠉⠉⠋⠛⠛⠛⠿⠿⠾⠶⠶⡶⣶⣶⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢿⠿⠿⠳⠙⠟⠛⡫⣿⡝⣿⣿⢸⠀⠀⠀ ⣶⡷⢹⣛⢹⡍⠋⠛⠾⠶⣴⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⡆⢿⡿⣽⣬⣿⣿⣸⣠⢀⠀⠀⠀ ⠀⠀⣿⣾⣿⣴⢁⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠛⠘⠀⠀⠀⡀⣤⣿⢳⣽⣿⣼⠀⠀⠀⠀⠀ ⠀⠀⡀⣤⣿⠃⡒⠵⡭⢩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⣇⢿⢱⣿⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⣥⣒⠖⠬⠤⠀⠀⠀⠀⠀⠀⠀⠀⡄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⡿⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⢿⡤⣩⣉⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⠰⠀⠀⠀⠒⠰⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡟⣟⣾⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⣹⠋⠒⠒⠟⠯⠙⠈⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠃⠿⠘⠀⠀⠀⠀⠀⠀⠀⠂⡶⣶⠀⠃⡟⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⣷⠿⣯⣒⣒⣄⣠⢀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣤⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠉⠛⠐⠀⠀⠀⠀⠁⠟⣯⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⣦⠷⠛⠉⠀⠀⠀⠀⣾⣴⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠏⠲⠀⠀⠀⠀⠀⠀⠀⠒⠉⡟⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⠶⠛⠙⠉⠈⠀⠀⠀⠀⠀⠀⡶⣶⠐⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⠶⠶⠶⠶⠖⠖⠖⠶⠶⠶⠶⠶⣶⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣿⣴⢫⠶⡉⠖⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠟⣿⣿⣿⣿⣿⣸⠈⡉⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣽⣴⢟⣾⢫⡵⡉⡂⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⣿⣿⣾⣶⣷⣿⣿⢿⡙⣶⠻⣮⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣸⢯⣿⣽⠿⠗⣥⣁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣶⠒⠐⠆⠶⠶⠛⣛⠩⣄⢷⡙⣧⣿⣿⣶⣿⣿ ⣿⣿⣷⢰⣿⣷⣿⡿⣴⣋⡿⣿⣿⢻⣛⣝⣤⣷⣿⣿⣿⣿⢠⣥⣭⢿⠙⠈⣀⣛⠉⠤⡲⣛⣉⡏⣿⠹⣧⣴⠀⠋⣿ ⣿⣿⣿⢨⣿⣟⡿⣠⡟⣿⣿⣿⣿⣿⣿⣿⣿⠻⣜⣴⣋⠟⡿⣿⣿⣿⣿⣿⢿⡻⣉⣬⣶⠿⣿⣿⣿⣿⠻⡆⢸⡿⣿ ⣿⣿⢷⢰⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢡⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣦⣿⣿⣿⣿⢻⠈⣿⣿ ⣿⣿⣯⢸⡿⣿⢐⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣧⣿⣿⣿⣿⢻⡌⣿ ⣿⣿⣿⢸⣿⢲⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣆⣿⣿⣿⣿⢿⣆ ⣿⡿⣿⢸⣷⢼⠐⣷⣿⣿⣿⣿⣿⣿⣿⣼⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⣮⣿⣿⣿⣼⠁ ⣿⣿⣻⢸⣿⣿⢀⡏⣿⣿⣿⣿⣿⣿⣼⢸⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⡿⠿⠌⠁⣬⠋⣿ ⣿⣿⣿⢸⣷⣿⢃⡄⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢁⣿⣿⣿⣿⣿⢁⣿⣿ ⣿⣿⣿⢹⡇⣿⢻⢸⣇⣿⣿⣿⣿⣿⣿⣾⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⢰⡟⣿⣿ ⣟⣿⣿⣿⡂⣿⣿⢿⠀⣧⣿⣿⣿⣿⣾⢀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢁⣿⣿⣿⣿⣿⣼⠏⣿⣿⣿ ⣿⣿⣿⣟⢈⣻⣿⣿⠊⠓⣆⣿⣿⣧⢀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿ ⣿⣿⣿⣿⠈⣿⣿⣿⢸⣟⣇⡌⣿⣌⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⣿⢰⡟⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⣷⣿⣿⢸⡧⣿⣿⡙⣤⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡀⣿⣿⣿⢸⡅⣿⣿⣿⡘⣷⣿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠚⠃⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿ ⣿⣟⣿⣿⡀⣯⣿⣿⣿⡇⣿⣿⣿⣿⡈⣿⣯⣭⢟⢻⣹⣫⣭⡟⢿⣿⣾⢡⡿⣿⣿⣿⣿⣿⣿⢰⡟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡁⣿⣿⣿⣿⠀⣿⣿⣿⣿⢾⣇⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⢁⡿⣿⣿⣿⣿⣿⣿⣴⡏⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⣿⣿⣿⣿⡂⣿⣿⣿⣼⢋⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣴⠃⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡯⣿⣿⡕⣯⣿⣿⣿⡇⣿⣿⣴⠏⣿⣿⣿⣿⣿⣿⣾⠏⣿⣿⢸⡿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡁⣷⣿⣿⢸⡇⣾⣡⡟⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠆⡟⣿⣿⢿⣼⠃⡿⣿⣿⣿⣿⣿⣿⣼⢏⣿⣿⣿⣸⡟⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣿⣿⣿⡃⣿⣿⣿⣸⠋⣿⣿⣿⣿⣿⣿⣿⣱⠟⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⡃⣝⣬⣷⣿⣿⣿⣿⣿⣿⣿ ⣾⣿⣿⣿⠕⣿⣾⣁⡟⣿⣿⣷⣿⣿⣿⣸⢃⣿⣿⣿⣿⣿⣸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣧⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡄⣬⢩⡿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠏⣿⣟⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡏⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣮⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⡟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣯⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⣿⣿⣿⣿⣿⣿⣴⣋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠏⠶⠒⠛⠛⠙⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣄⣤⣤⠤⠤⠦⠶⡿⠹⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠇ ⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣝⠰⡶⢀⠋⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⠀⡇ ⠀⡜⠡⠀⠀⠀⠇⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀⠀⠁⠠⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⡎⢀⠀⠁⠳⠠⠉⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⠀⡆ ⠁⢰⡀⢻⠀⠀⡄⢰⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢲⠒⠤⢀⡎⠂⣠⠲⢾⠒⠉⠉⠉⠉⠚⡖⠢⠙⠀ ⡇⠀⠀⠀⠇⢰⠀⡏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⣄⠦⠙⠀⡀⢤ ⡇⠋⠦⠚⣾⠊⠢⣾⠀⠀⠀⠀⠀⠀⠀⠊⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣄⢳⠀⠀ ⡄⣸⠀⠀⢿⢀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀ ⠀⣷⠀⠀⢀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸ ⠀⡀⢳⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠃⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦ ⠀⠀⡀⢳⠈⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠁⡒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⣄⠳⠈⠀⠀⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠋⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰ ⠀⠀⠁⠊⡠⣀⣄⠳⠈⠀⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢩⠀⠀⠀⠀⠊⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⠁ ⠏⠦⠠⢸⠀⠀⠀⠀⣄⠳⠈⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢠⠀⠠⠠⠒⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠊⡤ ⠀⡀⠐⠇⢀⠀⠀⠀⠀⠀⡀⠣⠈⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡸⡀⣀⣀⠤⠡⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠔⢀⠀⠀⠀ ⠀⠀⣺⣀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⡇⡧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠶⣠⡄⠃⠀⠁⠋⠊⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠏⠘⠈⣄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠂⣷⣩⣝⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡠⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⡜⠀⠀⠀⡇⠘⢀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡦⣓⣬⠦⠳⠙⠉⠀⠀⠁⠉⠊⠴⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢆⠛⠈⠀⡞⠀⠀⠀⠁⢸⢃⠀⠀⠀⠀⠀⠂⠠⣃⢞⠒⠉⠉⡌⠀⠀⠀⠀⠢⠈⠀⠀⠀⠀⠀⠀⣄⠦⠙⠀⣀⣤⣦⢓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠒⠑⠀⠀⠦⡇⢠⠀⠀⠀⡞⠀⡀⢀⠀⠇⢀⠀⡀⠇⣠⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀⠀⡀⢧⠈⠀⠀⠀⡀⢤⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⣀⠀⠀⡇⠉⠀⠀⠇⡰⠀⠀⠀⠀⢠⠀⠀⠀⠀⡸⠀⠀⠁⢰⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢆⠘⠀⠀⠀⠀⠀⠀⠄⣷⠹⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠐⢹⣄⠢⠑⠈⠀⠀⠀⠀⠁⠊⠀⠖⡩⠀⠀⠊⣠⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⣄⢷⠈⠀⠀⠀⠀⠀⣇⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⠀⢇⠀⠀⠀⢄⠘⠈⡀⢦⠤⠤⡤⣠⢨⡀⣋⡶⠒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣇⠹⠀⠀⠀⠀⠀⠀⠀⠀⣄⠻⠉⠈⠀⠀⡇⡄⠹⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⢄⡤⢤⠤⠦⡶⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢏⠻⠱⠀⠀⠀⠀⠀⠀⠀⠀⡆⠻⠈⠀⠀⠀⠀⠀⠀⠃⣻⠣⠈⠀⠀⠀⠀⠀⠀⠀⡆⢯⡈⢄⠠⡤⠀⡄⠹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠁⡉⠷⠀⠀⠀⠀⠀⠀⠀⢧⢌⠓⠈⠀⠀⠀⠀⡌⡇⠘⢄⠑⠀⠀⠀⠀⠀⠀⠀⢡⣆⠙⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀ ⠀⢣⠀⠀⠀⠀⠀⡏⠚⠒⠎⣵⣠⣄⠷⠈⠀⠀⠀⠀⠁⠼⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⡀⠦⠒⠀⠂⢠⡀⢹⠀⠀⣄⠢⠙⠀⠀⠀⠀⡇⠀⣄⠹⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⢄⠒⠉⡍⠀⢳⠀⡇⠀⢦⠙⠋⣕⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⣷⠱⠀⠀⠀⠀⣀⠤⠒⠐⡖⠀⠀⡄⠻⠀⠀⠀⡀⢸⠀⠀⠀⠀ ⠁⠜⠠⣀⣀⠀⢥⠤⣤⣥⣷⣹⣀⠀⡎⠀⠀⠀⠀⡄⠳⠈⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⢦⠘⠀⠀⠀⠀⠀⡇⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣽⠦⠑⠈⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⠉⠏⣠⠤⡞⣤⠲⠀⠈⠄⠙⠐⠀⠀⠄⠃⠈⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⡇⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⡀⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⣉⠄⠄⠀⠀⠀⠁⡀⠀⠀⠳⢄⠲⠈⠀⠀⢆⠳⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⢄⠙⠀⠀⡇⠀⠀⠀⠀⣄⠳⠉⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀ ⠤⠴⠄⡄⢀⢄⠠⡀⠀⠀⠀⠀⠠⠀⡜⠀⠀⠀⡀⢐⠀⠀⠀⢀⠠⠐⠑⠁⠃⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠕⡼⠀⠀⠀⠀⠀⠀⣄⢦⠙⠈⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠁⠋⠀⠀⠀⠀⠀⠀⠀⠈⠖⢀⡀⠀⠀⠀⠀⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠒⠑⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⢄⠠⠤⠔⠠⣀⠀⠀⠀⡉⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠏⠶⡤⣤⣤⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⢸⠀⣼⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⢤⠶⠳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠏⣶⠶⠤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣤⣤⣤⣤⣧⢸⠃⣼⣤⣤⣤⣤⣠⣀⣀⣀⣤⣤⣤⣤⣤⠤⠦⡶⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⣶⠶⠤⠤⠤⣤⣤⣤⣤⣤⣤⢤⠤⠤⠦⠶⠶⡷⢸⡇⢿⠶⠶⠶⠤⠤⡤⣤⣤⣤⣤⣤⣤⢤⠤⠤⠶⡶⢻⠀⠀⠀⠀ ⠀⠀⠀⠃⣾⠶⠴⠤⠤⠤⢤⠤⠤⠤⠦⠶⠶⠶⠒⠒⠛⠛⡏⢸⠀⢻⠋⠛⠚⠒⠶⠶⠶⠴⠤⠤⠤⡤⠤⠤⠤⠤⠶⣶⠸⠀⠀⠀ ⠀⠀⠀⡾⢤⠤⣤⣤⣤⢤⠤⠦⠶⠶⠶⠶⠒⠛⠛⠉⠉⠈⡇⢸⠀⣿⠁⠉⠉⠋⠛⠚⠖⠶⠶⠶⠴⠤⡤⣤⣤⣤⠤⡤⣷⠘⠀⠀ ⠀⠀⡏⢻⠟⠿⠿⠿⠿⠻⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⣀⣀⣧⢰⠀⣿⣀⣀⢀⠀⠉⠉⠉⠋⠛⠛⠛⠛⠛⠿⠿⠿⠿⠻⡟⢿⠀⠀ ⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⣧⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀ ⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀ ⠀⣿⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣧⠈ ⠁⢸⠀⠀⣄⣦⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣤⣤⣤⣤⣾⠀⠀⠀⠀⣧⣼⣤⣤⣤⣦⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⡇⢸ ⡇⢸⠀⠀⠀⠀⡋⣿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣿⢻⠀⠀⠀⠀⠀⢹ ⡇⢸⠀⠀⠀⠟⣿⣠⠀⠀⠀⠀⠀⠄⢤⠤⠶⠶⠛⠟⣠⠀⠀⠀⠀⠀⠀⡀⢻⠛⠞⠶⠴⠤⢤⠀⠀⠀⠀⠀⡀⣷⢿⠈⠀⠀⠀⣿ ⡇⢸⠀⠀⡟⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠻⠿⠿⠿⠿⠿⡴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢿⠀⠀⠁⣿ ⡇⣿⠻⠏⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢻⠟⣿⣸ ⡀⣿⣿⣿⣿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡟⣿⣿⣿⢸ ⠀⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠿⣿⣿⣿⣿⣿⣿⢀ ⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠻⠛⠛⠛⠛⠛⠛⠿⡿⢿⠿⠛⠛⠛⠛⠛⠛⠟⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀ ⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀ ⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀ ⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣮⢰⡆⣵⣭⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡁⣟⢶⡶⣻⢉⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠟⢸⠀⢿⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠓⣝⢀⠀⣭⢛⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠛⡶⣴⣤⣶⠓⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣼⠀⠀⡇⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣽⣂⣛⢹⠈⠁⡉⣻⣘⣇⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣸⠃⠗⣶⣤⣤⣦⠶⠒⡅⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⠿⣾⠀⠀⠀⠀⣇⠿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣸⠆⡓⢛⠉⠈⠁⠉⡋⣛⠲⡇⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⢸⠶⠵⣤⣤⣤⣤⣤⣤⠧⠶⡀⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣤⣦⣶⣰⠀⠀⠀⠀⠀⠀⡄⣶⣴⣤⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠚⠓⠈⠀⠀⠁⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣌⢻⠀⠁⡟⢠⠀⡿⢀⠀⠀⡄⢹⡀⢷⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⢡⣟⠛⡿⢠⠀⡇⢹⠉⠉⠉⠀⣧⠈⠀⣧⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣿⣾⣡⣿⢠⠀⠀⣿⣸⣀⣀⣀⣀⣤⣶⠰⡀⢹⠀⠀⠀⠀⠀ ⠀⠉⠀⠀⠉⠋⡟⣤⢀⡇⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠆⣷⣿⣤⣀⡆⣿⠀⠀⡄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⡇⢹⠋⠿⠛⢀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀ ⠀⡆⣿⣤⣀⣀⠟⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⠀⠀⠀⡟⢠⠀⠀⠀⠀⠀ ⠀⠀⣅⢻⠈⠀⣀⣀⣧⢻⠈⠀⠀⠀⠀⠀⠀⣄⣤⣤⠀⠃⡾⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⣤⣿⢿⠀⠀⠁⣟⣴⠳⠙⠈⠀⠀⠀⡶⣶⣶⢶⣻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣤⣀⡇⠹⠛⡶⢀⠀⠀⡀⣄⣤⢤⠤⣤⣤⣄⢷⡘⢷⠀⠀⠀⠀⠁⠉⠈ ⠀⠀⠀⠀⠀⡄⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡇⠸⠀⠀⠀⡏⣀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠙⣦⠳⠛⠞⣡⡏⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢦⠲⠒⠶⣤⢀⠀

8⊏⊃ (‿o‿)

⠂⠀⠂⢳⡖⠔⠠⠀⠀⠐⠒⠒⠒⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣦⣿⡹⣬⢻⣘⠀⠆⠂⠐⠇⠛⡿⣿ ⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣯⢹⠀⠀⠉⡿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣽⠉⣍⡤ ⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⣿⣿⣿⣿⢸ ⢻⢃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠯⣿⣿⣤⡄ ⣿⠘⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣻⡈⢋⢁⠈ ⣶⢸⠈⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡀⢧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣼⣁⡮⣿ ⣀⢻⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡽⣿⣿ ⠀⡇⢳⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿ ⣿⣿⡞⠀⡏⣯⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢽⠀⣀⢻⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣙ ⢹⣏⢹⠘⢳⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⡆⠘⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣼⣭ ⣠⣀⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⢹⠀⠀⢧⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⡀ ⠀⠃⡈⢿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡇⠂⠘⣇⠀⢰⠘⣆⡙⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿ ⠀⡀⣤⣄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡾⠀⢧⡁⡏⡇⢀⠀⡀⢦⡙⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣻ ⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢧⢰⠀⡀⠸⢱⣸⠀⠀⠀⠀⡀⢦⠳⢌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⢻ ⠀⠀⠀⠀⠀⡄⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢫⣰⠀⠀⠀⢁⡾⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠁⡿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⡀⣿⠲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡵⣞⢀⠀⠀⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠀⠀⠀⠀⠁⡟⢿⠘⣿⢿ ⠀⠂⠐⠀⠀⠀⠦⣦⢧⡙⠦⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⣋⢴⣀⠀⠀⠀⠀⠀⠇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠈⠁⠟⣼⣿⢶⠶⣰⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⣄⠳⡉⣅⠤⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠔⡠⣀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡼⢀⠀⣰⢁⠀⠀⠀ ⠀⠀⠄⠦⠒⠒⠉⠈⠀⠀⠀⠀⡀⣤⣳⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡷⣶⢾⠐⡶⠼⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠢⠗⠩⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡶⣼⠀⢐⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠤⠲⠒⠙⠉⠉⠉⠀⠀⠁⠈⠀⠀⠀⣄⠠⣀⠤⠤⠀⠀⠀⠀⠀⠂⠐⠤⣠⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

Grass, one of the most ancient and essential plant families on Earth, has played a crucial role in shaping ecosystems, human civilization, and agriculture for millions of years. The Poaceae family, which includes wheat, rice, corn, and countless wild grasses, first emerged around 66 million years ago during the late Cretaceous period, coinciding with the extinction of the dinosaurs. As Earth's climate changed and vast grasslands replaced forests, grasses adapted to a variety of environments, from the expansive savannas of Africa to the rolling prairies of North America. Early humans relied on wild grasses for sustenance, eventually domesticating species like barley and wheat in the Fertile Crescent around 10,000 years ago, marking the beginning of agriculture. The cultivation of grasses revolutionized human society, enabling permanent settlements, population growth, and the development of civilizations. Beyond agriculture, grasses have played a significant role in landscaping, soil stabilization, and even cultural symbolism, from the sacred fields of rice in Asia to the meticulously maintained lawns of European estates. Today, grasses cover nearly 40% of the Earth's land surface and continue to be a foundation for life, providing food, shelter, and oxygen while playing a key role in combating erosion and climate change. Whether in the form of a simple backyard lawn or the golden fields of wheat that feed billions, grass remains one of the most important and resilient plant species in history.

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. [beep] A single lap should be completed each time you hear this sound. [ding] Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, start.

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⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⡺⣒⣒⣒⠒⠒⠒⠒⢓⡇⠒⠒⠒⠒⣒⣒⣒⢖⠘⠀⠀ ⠀⠀⡾⣒⣒⣒⣒⣒⣁⣉⠍⡬⡇⠩⣉⣈⣒⣒⣒⣒⣒⢖⠈⠀ ⠀⡏⣉⣉⣉⣉⢉⠍⠬⠤⠢⢸⡇⠐⠤⠥⠩⡉⣉⣉⣉⣉⢫⠀ ⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸ ⡇⣄⣶⣿⣿⣿⣿⣶⣶⣶⣷⢀⠀⣶⣶⣶⣶⣿⣿⣿⣿⣾⣠⢠ ⠘⠀⠁⡾⢀⠀⠀⠒⠁⠉⠰⠀⠀⡄⠙⠈⠒⠐⠀⡀⣧⠘⠀⡇ ⢣⠉⡾⠀⠀⠀⠀⠀⠀⠀⢄⠿⠿⡰⢀⠀⠀⠀⠀⠀⠀⣧⠙⡟ ⡇⣿⢿⠛⠉⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠉⠛⡿⣿⢸ ⡀⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⡿⢿⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⢠ ⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀ ⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀ ⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣸⣛⣛⣏⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⢽⠸⡇⡮⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⢝⣸⣆⠫⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⡍⢲⠒⢭⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⠈⠀⣯⣮⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣦⣶⠒⣰⣀⣀⣀⠒⣶⣶⣤⠀⠀⠀⠀⠀⠀

ᶠᶸᶜᵏme𓀐𓂸🖕𓀿𓀐

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

⠀⠀⠀⠁⢩⡏⣋⢛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣭⢿⠻⠛⢟⠛⠛⠛⠛⡙⢉⡍⣉⢤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣶⣻⣉⢀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣄⣷⢹⡉⠨⠀⠀⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡟⢿⣿⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣋⣿⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢃⡛⣄⣤⣷⠾⠷⠛⠈⠀⠀⠀⠀⠁⡿⣥⣸⠀⠉⠋⣻⣛⣛⣛⣛⣛⢛⠉⠉⠀⠉⠟⣶⠳⡙⣿⠹⠀⠀⠀⠀⠀⠟⠾⡶⣿⣀⣦⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠛⡶⢤⠿⡾⣤⢀⠀⠀⠀⠋⡿⢿⡾⣶⣤⣠⣀⣀⣀⠀⠀⠀⡀⣀⣀⣤⣿⣿⡿⣿⣦⣶⣿⣿⣾⢷⠿⠛⠉⣄⢷⠛⢻⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡜⢁⠟⡶⣠⠀⠀⠀⠋⠟⣾⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⣆⢿⠈⡀⣦⢿⠙⠀⣄⣦⢷⠻⣍⣷⣿⡼⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠞⣁⠟⣴⢀⠀⠀⠀⠋⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⠀⠀⠀⡇⢻⠀⠀⡀⣧⢻⠈⠀⠀⣄⣷⠻⡈⣦⢻⠬⠣⠙⠁⠀⠀⠀ ⠀⡃⠟⣴⢀⠀⠀⠀⠋⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣾⢀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣄⢿⠘⠀⠀⡀⣧⢿⠀⡀⣷⣹⣧⡘⣷⠈⠀ ⠀⡟⣰⠀⠀⠀⠁⠟⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⢀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⡄⣿⠹⠀⠀⠀⣿⠸⠀⠀⣧⣻⢿⡈⣿⠀ ⠻⣿⠀⠀⠀⠁⡟⣼⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣴⢀⠀⠀⠀⠀⠀⠃⣾⢠⠀⠀⠀⠀⠀⠀⣄⣿⠹⠀⠀⣿⢰⠀⠀⠇⣯⣿⢸⡇⠐ ⠀⣧⠿⢷⣿⣿⣧⣿⣶⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠛⠾⣴⣠⠀⠀⠀⠀⠀⠀⠀⠟⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠀⠏⣾⠁⠛⠟⣾⣿⣿⢸⡇⠸ ⠀⡄⢿⡏⢸⣿⡈⣿⠀⣆⢻⠈⠀⠀⠀⠀⠀⠉⠛⠾⣶⣻⣙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢿⣴⠋⣾⢁⣿⢇⣿⡿⠁⣿⢀ ⠀⠀⣇⣿⢻⡝⢿⣏⢸⠁⣍⢻⠛⠟⠿⣿⣼⣠⢀⠀⠀⠀⣀⣤⢶⠶⠿⠀⠀⠀⠀⠁⠉⠉⠀⠀⠀⠀⠀⠀⠁⠉⠉⠛⠟⡿⣽⢉⠉⣭⢋⡿⣷⣿⢾⣶⣴⣠⠀ ⠀⡀⠈⡀⣿⣈⣇⣿⣾⣶⣠⣀⣀⣦⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⣾⣶⣶⣶⣶⣶⣶⣶⠻⠛⠀⣀⣿⣴⢀⠀⡀⣿⣿⣿⣿⣿⣴⡀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡤⣄⢳⠉⣎⢷⠘⠀⠀⠀⠀⡀⣄⣶⠻⠛⠛⠛⠙⠈⠀⠀⠀⡟⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢸⠏⣼⠀⠀⠁⡿⣴⢻⠟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠻⡜⣧⠻⠀⠀⠀⠀⠀⠀⡀⣤⣷⡻⣈⣦⠻⠈⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⢃⣿⢀⠀⠋⣿⢹⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣿⠈⠀⣶⢷⠙⠀⠀⠀⠀⠀⠀⡀⣤⣿⠸⣄⢿⠈⡆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⡿⢰⠁⡟⣻⠉⡁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⡼⣇⠼⠻⡍⣿⠻⠈⠀⠀⠀⠀⠀⠀⡀⠀⠀⡆⢿⠀⣿⠈⠀⠀⠀⠀⠀⠀⠀⡏⣼⡟⣰⠋⣿⢚⣷⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠹⡟⢿⣿⣽⣍⣼⣷⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠸⣿⢻⠛⠟⠿⠿⠿⠿⠟⣿⡏⣿⡿⣼⣀⠁⡟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠟⣾⣷⣾⣶⣷⣩⣟⣿⣿⢿⠹⠀⠀⠀⠀⠀⠀⠀⡇⢻⣾⣀⢀⠀⠀⠀⠀⠀⡀⣄⣤⣶⠿⣿⠲⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠋⡾⣠⠃⡉⢟⡿⣾⣶⣶⣭⣭⣭⣯⣿⠻⠛⠉⠉⠋⠟⣿⣿⢿⠛⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⡿⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⣿⠻⡽⡿⣿⣹⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⣉⣄⣷⣿⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⠻⡀⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⣼⣿⣯⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣿⣻⣿⣭⣦⣶⢿⡻⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠻⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⣿⣧⣿⣿⡿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣦⣷⠿⠻⣛⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⢻⡟⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡞⣿⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠾⠶⠶⡻⣙⣈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡇⣿⣿⡃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣯⣴⡇⣯⠻⠛⠾⡶⣶⣤⣥⣿⠿⠚⠀⠛⡾⣠⢀⠀⠋⠿⡿⢿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⡟⢡⣿⣿⢸⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⣻⠟⡷⣿⣴⢀⠀⠁⠟⡿⣿⣿⣿⢿⡿⣸⠀⠀⠀⡏⣿⣿⣙⣏⣿⣿⣿⣿⠻⠛⠛⠘⠀⠀⠀⡏⣹⡿⣿⣴⢃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⣿⣿⣿⢀⠀⠀⠇⣿⣿⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣀⣦⣿⣿⣿⣶⣷⣿⣿⢷⣿⢀⠀⠁⠟⣿⡿⣿⣼⠁⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣿⣿⣿⠈⠀⠀⠀⠀⡁⣯⣿⣿⣦⣿⣿⢻⠈⠀⠀⠀⠀⡶⣿⣿⣿⢻⡾⣤⣦⢰⢀⠀⠀⡟⣧⣿⣿⣽⠋⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣿⢸⠀⣿⣿⢿⠻⠙⠀⠀⡄⣤⣿⣿⢾⣴⣠⣄⣿⢿⠿⠿⠿⠶⠶⡶⣤⣀⠀⠀⠀⠋⠸⠀⠏⣰⡟⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣷⡿⢻⡏⣿⣿⣿⣿⣽⣭⣤⣤⣀⠀⠁⠉⠛⡾⣶⣿⣿⢛⠉⠉⠀⠀⠁⠉⠛⡾⣠⢀⡆⣴⡟⣶⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢷⣿⣸⣄⡶⣽⣦⣷⣿⣽⣤⣤⣤⣤⣀⢀⠀⠀⡄⢷⡙⣈⣤⣤⣤⣤⣀⢀⠀⠀⠁⠋⡾⣷⠾⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣶⠛⠛⣟⢿⠈⣄⣷⢿⠙⠈⠀⠀⠀⠀⠁⠛⡶⣠⣦⠷⠛⠛⠉⠉⠋⠛⠾⣴⣢⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠻⠈⣄⣷⣿⣶⢿⡿⣧⣨⢘⠀⠀⠀⠀⠀⡀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⡻⠿⣳⠸⢿⡇⢇⣿⡧⢹⠿⣿⣿⣿⣿⣾⣿⡇⣿⣿⣿⣿⡿⡐⣯⠁ ⠄⠄ ⠟⣛⣽⡳⠼⠄⠈⣷⡾⣥⣱⠃⠣⣿⣿⣿⣯⣭⠽⡇⣿⣿⣿⣿⣟⢢⠏⠄ ⠄ ⢠⡿⠶⣮⣝⣿⠄⠄⠈⡥⢭⣥⠅⢌⣽⣿⣻⢶⣭⡿⠿⠜⢿⣿⣿⡿⠁⠄⠄ ⠄⣼⣧⠤⢌⣭⡇⠄⠄⠄⠭⠭⠭⠯⠴⣚⣉⣛⡢⠭⠵⢶⣾⣦⡍⠁⠄⠄⠄⠄ ⠄⣿⣷⣯⣭⡷⠄⠄⢀⣀⠩⠍⢉⣛⣛⠫⢏⣈⣭⣥⣶⣶⣦⣭⣛⠄⠄⠄⠄⠄ ⢀⣿⣿⣿⡿⠃⢀⣴⣿⣿⣿⣎⢩⠌⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠄⠄⠄ ⢸⡿⢟⣽⠎⣰⣿⣿⣿⣿⣿⣿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠄⠄ ⣰⠯⣾⢅⣼⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠄ ⢰⣄⡉⣼⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄ ⢯⣌⢹⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄ ⢸⣇⣽⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄ ⢸⣟⣧⡻⣿⣿⣿⣿⣿⣿⣿⣧⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄ ⠈⢹⡧⣿⣸⠿⢿⣿⣿⣿⣿⡿⠗⣈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄ ⠄⠘⢷⡳⣾⣷⣶⣶⣶⣶⣶⣾⣿⣿⢀⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠄ ⠄⠄⠈⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄ ⠄⠄⠄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠄⠄

⠀⠀⠀⠀⠀⠀⠀⡀⢃⠛⢳⠶⠞⡳⠶⡵⢦⡥⢦⠞⠻⣚⠒⠚⠓⡙⢈⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠶⣰⣨⠑⡠⠜⠃⢠⡘⠣⡄⠘⢣⠄⡑⣦⢿⡘⢑⠢⣌⠳⠙⠀ ⠀⠀⠀⠛⣦⣉⢄⠣⢄⡘⡌⠑⢣⡄⠘⢣⡄⠊⢠⡜⠃⢡⡄⣿⠚⢄⡍⠂⣌⠻ ⠀⠁⡾⢂⢌⠒⣈⠱⢆⠃⢄⡘⠑⢢⡌⠒⢈⠱⢆⡈⠰⡘⠠⣗⢺⢄⠘⢣⠄⣏ ⠁⣼⢊⢡⡔⠊⢄⡘⠣⢀⡰⠜⡈⠱⢌⠣⢄⡘⠣⢄⠡⠞⣡⡿⢡⢢⡌⠑⢊⣿ ⡿⡌⠑⢢⡄⠆⢃⡄⠒⣉⠤⠎⡁⠰⡌⠒⢄⡉⠚⡴⣀⠏⣦⢑⡨⠔⢋⡴⢃⡿ ⢸⢋⠿⡿⣿⢿⠻⣈⠤⠘⢢⠑⢢⡌⠅⡽⣹⢉⠛⠶⣮⣁⢋⠚⠴⣡⢋⠟⣠⠀ ⢗⣿⣤⣁⠉⠛⣷⢰⢢⡑⢆⡈⠱⢆⡈⡑⠢⣈⠱⢆⠈⣔⠵⠬⣥⣆⡁⢺⠀⠀ ⣺⣬⣦⣠⣍⠂⢃⡿⠿⡈⠱⢆⡈⠱⢆⡈⠱⢆⡈⠱⢆⡈⠱⠆⢈⡱⠆⢸⠀⠀ ⢻⢀⣿⢿⠁⢢⡇⣿⣿⣿⠈⢣⡄⠘⢣⡄⠘⢣⡄⠘⢣⠄⡘⠣⢄⡘⡇⢰⠀⠀ ⡆⠘⣷⣿⠺⢡⡆⣿⣿⣿⢸⢢⡌⠑⢢⡌⠑⢢⡌⠑⢢⡌⠑⢢⡌⠃⣼⠀⠀⠀ ⠀⣄⡙⣿⢿⢂⠡⣆⣿⣿⣡⠔⢊⡡⠔⢊⡠⠜⢃⡠⠜⢃⡠⠜⢃⡼⠀⠀⠀⠀ ⠀⠀⣀⠶⣽⢂⡡⠐⢨⡑⠠⡱⠆⢈⡱⠆⢃⡄⠘⢣⡄⠒⡡⠞⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⢦⡙⠌⢂⡐⡜⠉⢢⡌⠒⢠⠱⢆⡈⠰⣋⠖⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢤⠦⠓⠙⢩⡙⢋⣉⠚⢛⠼⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡖⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⡽⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⣺⠇⠀⠀⠀⡌⣽⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⣵⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠔⠀⠀⠀⠀⠀⠀⢰⠄⠀⠀⠀⡼⡿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠰⡹⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠐⣽⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⠀⠀⠀⠐⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡽⣿⣇⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡈⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣥⠀⠀⠀⠀⠀⠀⠀⠀⠼⢟⣻⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠻⣋⣿⣷⡂⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠼⣿⢿⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣿⡇⠀⠀⠀⠀⠀⠀⠰⢀⢷⣷⣾⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠤⢲⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠌⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⢠⡀⠠⠀⢤⢶⣼⣷⣿⡿⣿⣿⡏⣦⡀⠀⠀⠀⠀⡀⢮⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⢉⠼⢵⢿⣿⡇⢸⠙⠛⠬⠤⣼⣿⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠂⢠⠘⢪⢻⣾⡇⢸⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠂⡌⣾⣿⡇⢸⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⢡⣿⣿⣟⢸⠀⠀⠀⠀⠀⠡⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣣⠐⠀⠀⠀⢩⣟⣿⣿⢸⠀⠀⠀⠀⠀⠉⣷⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⠀⠀⠰⠈⠄⠋⠻⠈⠀⠀⠀⠀⠀⠲⠿⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿

⠀⠀⠁⡿⣒⠒⠒⠒⠒⠒⠒⠙⣉⣌⠤⠶⣿⢾⡷⣭⣂⢒⠀⠀⠀⠀⠀⠀⠀⠂⣒⣖⣿⣿⠻⣟⠀⠀ ⠀⠀⡏⠉⠒⠔⠤⠤⠤⠒⠒⠒⠁⣉⣄⢯⣿⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⣿⠠⠀ ⠀⠃⣴⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⡀⣿⢹⠋⠔⠤⣀⡀⢀⠀⠀⠀⠀⠀⡀⡀⢄⠤⠂⠓⠉⡀⢸⠀ ⠀⡎⠤⡀⢀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠢⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢸⠀ ⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⢿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⡟⠉ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡽⣿⣼⢀ ⣿⠘⠀⠀⠀⠀⠀⠀⠋⠟⣿⣰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⣿⣿⣿⣸⠀ ⣆⢻⠉⠉⠋⠛⠟⣿⣿⣷⣿⡆⣿⢿⠳⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠟⡿⣷⣿⣿⡿⣿⣿⢸⠀ ⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣷⠸⣷⣽⣿⢿⣭⣿⣯⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⠀ ⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⢿⡘⣷⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⡿⡿⣿⢻⣿⣿⣿⣟⢸ ⠀⠀⠀⠀⡀⣦⣷⣿⣯⣿⣯⣿⣿⢻⣅⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⡿⣯⣿⣿⣮⣿⣿⣿⣿⢠ ⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⣿⣿⣿⣷⢻⢛⣬⣾⣿⣿⣿⣷⣿⣿⣿⡷⣿⣿⣿⣯⣿⣿⣫⣯⡾⣠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣷⣟⣯⢿⡿⢿⣿⣿⣿⣿⣿⣿⡿⡿⣯⣟⣟⣯⣿⣾⣥⢛⡿⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⠶⢶⡲⢶⣤⣠⢁⠋⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⣧⣿⣿⣿⣿⣿⣿⣾⢤⠶⠴⠤⠶⡶⣷⣿⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⢳⣿⣿⣿⣿⣤⠤⠤⡤⣴⣤⣤⣀⣁⠋⡖⣤⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⠀⠀⠀⣀⣧⣴⠤⠤⠤⠤⠤⠤⠠⣀⣀⠀⠀⠀⡇⠘⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⣀⢀⠀⠀⠀⠀⣀⣀⠄⣤⢂⠒⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⠠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠤⣀⢀⠀⡎ ⠛⠷⠍⠮⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠖⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣀⢍⠫⠒⠖⠴⠴⠤⠤⠤⠄⠤⠤⠠⠠⠄⠄⠤⣀⣀⠀⠀⠉⠔⡠⢀ ⣷⡮⣿⢿⠀⣀⠤⠲⠙⠉⠀⠀⠿⠹⠉⠉⠋⠉⠀⡀⢻⠈⠀⠀⠀⠀⠀⠀⠀⣀⢦⠨⠀⠅⠪⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠉⠀⠁⡜⢀⠀⠀⠀ ⣷⣭⣤⣉⣉⢛⠛⠙⠉⠀⠀⣀⣀⣥⣷⣭⣟⢿⣿⣿⣿⣿⠿⠙⠈⠀⠀⠀⠀⠀⠋⣿⠴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⠶⠴⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⣿⣿⣿⣿⣵⣭⠻⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠟⣺⣠⢀⠀⠀⠀⠀⠀⠀⠀⠊⠤⠤⢶⣒⣒⢴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣷⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣭⣔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⢸⡇⣿⣿⣼⣿⣿⣿⣾⣿⣿⣾⣿⣾⠶⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡃⣿⣿⣝⠢⣿⣶⢳⣿⣿⣿⣿⣿⣿⣠⣏⢠⠀⡀⣀⠤⠢⠒⠑⠉⠉⠂⠔⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣿⣿⢈⠙⣽⠙⡭⡍⣿⣿⣴⢀⢠⠉⢻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⣷⣿⣿⡴⢀⠒⡐⣦⣿⢹⠀⠀⠀⠀⠀⠀⣀⣀⢄⠤⠲⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⡿⣿⣻⠛⠃⠙⠉⠈⣧⣿⢿⠙⠉⠉⠒⠒⠛⠙⠚⠐⠐⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢸⣿⣿⣿⣽⡿⣿⣿⣷⣿⣿⣿⢦⠙⠈⠉⠖⣠⠀⠀⠀⠉⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⠘⠀⣀⠁⠉⠊⠒⠤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⣿⡿⣿⣿⣿⣿⣿⣿⣵⣰⣀⣄⠤⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⣶⣿⣿⣿⣿⣿⢔⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⡿⠛⠉⠙⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⠿⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠈⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠟⠋⠁⠀⠀⠀⠙⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢄⠉⢸⠀⢸⠁⠉⡅⠀⢥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⡼⠀⠸⣀⡼⠀⠀⠑⠾⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣄⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣿⣿⣷⠀ ⠘⠻⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣶⣶⣶⣶⣶ ⣤⣴⣶⣾⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁ ⠉⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢙⣿⣿⣷⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣟⣿⣿⣿⣿⣭⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣼⣿⡿⠟⠛⠛⠛⠓⠛⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⢤⡈⠒⢄⠤⠐⡄⠀⠀⠀⠀⠀⢮⠱⡀⠀⣹⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⡆⠉⠁⠀⠀⠀⠀⠀⠈⢦⠙⡄⣹⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⡇⢼⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡆⣹⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠋⣴⠃⠀⠀⠀⠀⠀⠀⢠⡔⠃⣼⠁⣾⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⣀⣀⣀⡠⡤⠖⢉⡀⣂⣀⠒⠒⠂⠐⠠⠊⠉⢥⠤⠚⠁⠀⣾⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣦⣀⣤⣯⣤⠤⠤⠤⠾⠶⠿⠿⠿⠿⠿⠿⠿⠷⠷⣷⣶⣆⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣄⣠⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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8=✊=D💦

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣵⣋⡿⣷⣿⣾⣿⣿⣿⣿⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠸⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢁⡾⣡⢟⠿⠿⠿⣿⣟⣟⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣇⣷⣿⣿⣿⣿⣿⣿⣿⣿⢹⣧⢿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⡘⠳⣉⣯⣶⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢀⣿⣾⣡⠓⣿⣿⣿⣿⣿⣿⣿⢸⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡁⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢡⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⠃⣾⠋⣼⡏⣿⣿⣿⣿⣿⣿⣿⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡇⣻⣿⣿⣿⣿⣿⣿⣿⣵⢹⡕⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠇⣸⡔⠁⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⡇⣯⣿⣿⣿⣿⣿⣿⣾⢀⠀⡐⣧⣶⣿⣿⣿⣿⣾⣶⣶⣶⣿⣿⣿⣿⢰⣿⢠⠀⡟⣠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠃⡿⣿⢿⡘⠿⡈⣾⣤⣭⣩⣛⣽⢭⠤⡒⣏⣿⡿⣿⠀⠟⢻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣼⠊⠃⣿⣿⣿⣼⠃⣼⢁⠟⣿⣿⣿⣿⣿⣿⣿⠿⡘⣧⣿⢰⡟⣿⣿⣿⡄⣷⣿⣿⣿⣿⣿⣿⣿⣤⢋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣾⠂⠃⡿⣿⣿⣾⢃⣼⢃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠈⣄⠏⣿⣿⣿⣿⣿⠻⡛⣛⢛⠛⠛⠟⠻⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢉⢀⣿⣿⣿⣿⢁⡶⢂⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢢⠀⣡⣉⣍⣬⣲⣗⣾⣷⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⢠⡟⣿⣿⣿⢸⡛⢰⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠼⠁⡿⣿⣿⣿⠿⠻⣌⡧⣿⣿⣿⣿⣿⣿⢿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡄⠇⣿⣿⣿⣸⠇⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⡿⣿⣿⣿⣿⣿⣿⣿⠹⣆⣿⣿⣿⣿⣿⣿⢹⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢸⢸⡿⣿⣿⣿⢰⡿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢁⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⢹⢀⡇⣿⣶⣥⣬⣶⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢸⠀⣷⣿⣿⣾⡇⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣸⠁⡾⠇⢿⡀⣷⣿⣿⣿⣿⣿⣿⣿⣷⢸⡟⢁⠟⣿⣿⠿⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣷⣿⣿⢿⠀⡿⣿⣿⢰⡇⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⢸⡏⣸⠁⡿⣿⣿⣿⣿⣿⣿⣿⡿⢥⣸⡇⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣧⣿⣿⣿⢡⣧⣿⣸⠈⡀⠆⣆⣧⣿⣿⣿⣿⣿⣿⣿⣿⢸⢰⡇⢃⣰⠁⡿⣿⣿⣿⣿⣿⣿⣿⢸⡀⡀⢈⡁⣿⣿⣿⣿⢸⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡇⣿⣿⣿⠙⡀⣿⢰⢈⠌⣤⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠄⠠⠏⡿⣿⣿⣿⣿⣿⣿⣿⣿⢡⢡⠾⠀⡿⡟⣿⣿⣿⢢⠏⡙⢌⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⡀⣿⣿⣿⣿⢸⣀⠔⡟⢿⠇⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡏⢠⠇⣿⣿⣿⣿⣿⠃⣿⣿⣿⠻⣍⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⢼⠀⠏⣿⣸⠰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠁⡟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⠴⢇⣸⠇⣿⣿⣿⣿⣿⢰⡿⣘⣧⣿⣿⣿⠁⡙⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⢿⠹⡀⣷⣿⠿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⡗⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⠁⠀⡴⠈⣿⣿⣿⣿⣿⣴⡟⣿⢾⠛⣙⣬⢶⣷⣾⣿⡻⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⠙⡉⣦⣿⢻⣆⣿⣿⣿⣿⣿⣿⣴⢀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣶⣏⣿⠡⠁⠄⣯⣿⣿⣿⣿⣴⠁⣿⣿⣿⣧⣿⣿⣿⠿⠛⠛⣆⣷⡹⣮⣷⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⣟⢬⡐⣷⣿⣿⣴⢊⠘⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣴⢊⢃⡿⢠⣇⣿⣿⣾⢀⠀⠀⣿⣿⣿⡀⣿⣿⣿⣿⣠⠗⠼⠐⣤⣿⡻⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠓⠀⠟⠛⢈⣦⣿⣿⣿⣿⣿⣿⣿⣿⣴⢠⡡⠟⣿⣿⢿⡘⣿⣿⢸⠀⠀⠀⣿⣿⣿⠇⣿⣿⣿⣿⢿⡹⣄⢻⠛⠀⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣀⠋⣿⣿⢿⠀⡀⣤⣶⣿⣿⣾⣥⢋⠻⡿⣿⣿⣾⣤⢠⠃⠿⠹⠀⠈⠀⠻⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⢿⡈⣤⡿⢛⡀⣦⣿⣾ ⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠃⣿⣿⣿⣿⠹⢂⠈⠀⠄⠓⡉⣓⣈⣃⣒⠛⠈⠑⣆⠹⢂⡆⣿⠸⢠⠀⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⢻⡙⣮⠾⠰⣄⢸ ⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢐⡾⣿⣿⣿⣾⣿⠀⣇⠹⠂⠘⣄⢿⣻⠈⣄⣿⣿⡘⠀⣿⢹⢁⡇⢻⡈⠃⣼⣿⣿⣿⢻⣧⢸⣷⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⣿⢻ ⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠸⠀⢰⡜⠂⣤⣠⡟⡘⣦⢿⡔⢻⠈⣄⣷⠻⡌⣿⣿⠀⡇⣿⡘⠸⣤⢰⡇⢋⣿⣿⣿⣿⡀⣿⡙⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢸⠆⠃⢃⣰⠋⡿⣿⢸⠀⠑⠠⣄⣷⠻⠙⣄⣿⡘⣷⠸⡇⣿⢹⠀⠄⢰⡏⣿⣿⣿⣿⣾⡀⣷⣿⡸⣤⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠛⠛⡿⣿⣿⣿⣿⢹⡀⢦⠘⠀⣆⣿⢿⡙⣦⡀⢰⡀⣿⣿⡆⡄⠇⣿⣿⣿⣯⣿⢠⠘⡛⣍⣧⣿⢿⡜⣷⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠉⠹⠁⡄⣿⣿⠻⠀⠀⠇⣼⡇⠀⠀⡗⣿⣿⣿⣶⣡⠈⠀⣿⣿⡌⣴⣦⣿⡄⣿⣿⣿⣿⣿⣿⣿ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠣⡈⣷⢿⢲⠀⡇⠹⡇⠀⡇⠀⠀⠀⠇⠸⣷⣿⣰⢀⡀⢀⠆⡘⢦⠀⣷⣿⣿⣿⣿⣿⣿ ⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣧⠻⣌⠷⠸⡇⣿⡇⠀⡀⠀⠀⠀⡆⣦⠘⣷⠹⠉⠙⡋⢴⠀⠱⠀⡀⣿⣿⣿⣿⣿⣿ ⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣷⣌⠱⠀⡀⣷⢸⠀⠀⠀⠠⠈⠀⠡⣇⡀⣷⢿⠺⠷⡄⢲⠁⠉⠧⣿⣿⣿⣿⣿⣿ ⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣷⠈⢣⠈⡆⢳⠀⠀⡁⠀⣿⠿⠀⠀⠳⠙⣆⡙⠱⢀⠣⡆⣿⡿⣷⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣷⡉⢿⠙⡀⠀⠀⡆⠀⣦⣷⡿⠻⠈⣀⠣⡌⡤⢶⡶⢳⡟⣇⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠁⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠰⠀⠀⠀⠀⠀⠋⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠈⠀⠀⠀ ⠀⠀⠀⡇⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⡿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣾⣤⣡⣉⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠉⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠁⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣀⣉⠉⠉⡀⣇⠈⠀⠀ ⠀⠀⠀⣿⣿⣿⠻⠙⠉⠋⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣤⣦⣶⣶⣶⣶⢿⣿⢿⠘⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣾⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠻⠛⠛⠈⡀⣤⣤⠰ ⠀⠀⠀⣿⣿⣼⢀⠀⠀⠀⠀⠀⠉⡋⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣴⣤⣤⣭⣉⣟⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀ ⠀⠀⠀⣿⣿⢿⠛⠛⠛⠛⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣠⣀⢀⠀⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀ ⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣴⣤⣤⣥⣉⣉⣉⣋⢛⠛⠛⠛⠛⠛⠛⠿⠿⣿⣿⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀ ⠀⠀⠀⡇⣿⣛⣛⣛⣛⣛⠛⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣠⢀⠀⠀⠀⠀⠀⠀⡀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⠛⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⣇⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⢻⠈⠀⠀⠀⡄⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⣆⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣾⠀⠀⠀⠀⠇⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀⣀⣄⣶⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⢠⠀⠀⠀⠀⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⠷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣼⠀⠀⠀⠀⠃⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⢀⠀⠀⠀⠀⡇⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⢸⣄⣷⠿⠛⠛⠛⠛⠛⠉⠉⠀⠓⠛⠉⠉⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⡿⣿⣿⣸⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⢁⠟⣿⣿⣿⢸⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⡏⣿⣿⣿⢀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠁⡼⢋⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠏⣿⣿⣿⣼⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀ ⠀⠀⠀⡿⢿⣿⣿⣿⣿⣿⣿⣿⢹⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀ ⠃⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⡟⢸⠀⠀⠀⠀ ⡼⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⡟⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀ ⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣡⠉⠟⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⡏⣿⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠋⠿⣿⣼⠀⠀⠀⠀⠀ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⡇⣿⣿⣿⢰⠀⠀⠀⠀⠀ ⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣾⣤⣿⣼⠀⠀⠀⠀⠀⠀ ⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣧⣿⣿⣿⣿⢿⠛⡿⣿⣿⢠⠀⡿⢠⠀⠀⠀⠀⠀⠀ ⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⡿⣿⣿⣿⣿⣾⣠⣄⣿⣿⠀⠋⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠁⣿⣿⣿⣿⣾⢀⠀⠀⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⡇⣿⣿⣿⣿⢀⠀⠀⠀⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⡿⣿⣿⣿⣸⠀⠀⠀⠇⣿⣿⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠃⣿⣿⣿⣿⢀⠀⠀⠀⡇⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⡏⣿⣿⣿⢸⠀⠀⠀⠀⡟⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠉⠉⠉⣿⣿⣿⣾⠀⠀⠀⠀⠀⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⡇⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⡇⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠙⠈⠀⠀⠁⠟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣀⢀⠁⠉⡉⣿⣾⣴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠉⡟⣾⣤⣤⣥⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⡀⣀⣦⣶⣶⣶⣶⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠉⠉⠛⠿⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣍⢻⠈⠀⠀⠁⠛⡾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⡄⣿⣿⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣠⢀⠀⠀⠀⡀⣦⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠃⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠉⠉⠋⠟⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣤⣶⣶⣶⣶⣤⣤⣠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

♱𝖋𝖆𝖌𝖌𝖔𝖙♱

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

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⠀⠇⣥⠭⠭⠭⠬⡂⣒⡯⢽⣐⣤⠀⠀⠀⠀⠄⣤⣠⢷⢽⠀ ⠀⡽⠈⠂⠒⠐⠀⡉⣀⣿⠒⠤⠠⡀⣀⣀⢀⠀⠤⠂⠐⢏⠀ ⠏⢀⠀⠀⠀⠀⠀⠀⡁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈ ⢸⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⠀⠀⠀⠀⠀⠀⠃⡞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⢨⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠉ ⢹⠀⠀⠀⠀⠉⡟⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡻⣿⠀ ⣦⠚⠒⠄⡤⣶⣴⣿⠤⠒⠙⠉⠉⠉⠋⠚⠖⠤⣡⣎⣦⣿⠀ ⠀⡀⠢⠙⠀⠀⠀⣧⠹⠀⠀⠁⠊⠔⡠⣀⣀⣀⣄⠳⡀⣱⢸ ⠀⠀⠀⢀⢦⠫⠙⡀⣦⠻⠈⣇⠘⠀⠀⠀⠀⠀⠀⡀⠛⡷⢀ ⠀⠀⠀⠀⠀⠀⣀⣄⠲⡛⣿⡻⣿⠛⠉⠉⠈⠋⠞⣴⢛⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣯⣷⣿⣿⡶⣦⢙⠏⠽⣮⣿⢼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡀⣄⣦⣺⣒⣒⣒⠒⠄⠠⢀⢡⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠇⣷⢶⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡝⢚⣷⢿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠁⠉⠈⠀⠀⡀⢦⠉⣄⠑⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣼⣫⠛⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⣭⣯⣹⣉⣉⣤⠤⣖⠻⡈⢦⠘⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠇⣳⠴⢯⡴⢀⠀⠀⡄⠤⠢⠛⠈⠀⠀⠀⠀⡟⠚⠒⡀⣦⣷⠿⠤⣶⣛⢍⠤⠶⢰⠀⣆⠘⠋⣿⣴⠀ ⠀⠀⠀⠀⠀⣧⣸⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠣⠋⠴⣠⢀⠀⠀⠀⠀⠀⡀⢄⠶⠓⠉⣀⠀⠀⠀⠀⣄⢹⡇⢀⠀ ⠀⠀⠀⠀⠀⡏⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⡄⣷⠀⠀ ⠀⠀⠀⠀⠀⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⠀⠀⡄⢳⠀ ⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⠀⡀⠹ ⠀⠀⠀⠀⠀⢸⡇⠈⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⠑⠀⠀⠀⠃⣾ ⠀⠀⠀⠀⠇⢀⡇⢸⠀⠀⠀⠀⠀⠀⠃⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⣀⣳⣾⠓⣴⠀ ⠀⠀⠀⠀⡟⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠁⢸⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠁⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡏⢠⠀⠀ ⠀⠀⠀⡾⠀⠀⠀⠀⣇⠘⠀⠀⠀⠀⠁⡿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀ ⠀⠀⠇⢠⠀⠀⠀⠀⡇⣼⠹⠀⠀⠘⡿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀ ⠀⡇⡾⠀⠀⠀⠀⠀⡇⢹⡀⢳⠀⠳⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀ ⠀⡇⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⢦⠛⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⡇⢀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⢧⠈⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣥⣼⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⢷⠀⡶⣶⡠⣤⢦⡴⡷⣯⡿⠀⠁⡞⢀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠈⠀⠀⣿⠀⠀⠀⠀⠀⡁⢸⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠋⢰⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠋⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠘⠀⠂⠀⠁⠀⡄⢹⠀⠞⢠⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⡂⠀⠀⡇⡼⢀⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠈⠀⠌⡈⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢼⠢⠓⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢀⠁⢰⠐⠀⠀⡆⠘⠀⠀⠀⠇⡼⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠋⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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.° ༘🎧⋆🖇₊˚ෆ

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(‿∣‿) slap 🤤(‿∣‿) slap 🤤(‿∣‿) slap 🤤(‿∣‿) slap 🤤

⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⠸⠃⠟⡿ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿ ⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣽⣮ ⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣓⣿⢸ ⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⠠⠀⠀⠀⠀⠀⠀⠀⠀⡄⠽⠯ ⡏⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠡⠀⠀⠀⠀⠀⠀⠀⠀⣇⣾ ⣖⠛⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠃⠀⠘⠀⠀⠀⠀⠀⠀⠀⡄⢶ ⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠆⡐⢕⠑⠀⠀⠀⠀⠀⠁⠿ ⠀⠀⢂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣬⠆⣦⠀⠀⢀⠢⠈⠀⠀⠀⡏⣿ ⠉⠈⠁⣏⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣀⠀⠂⢰⠀⠀⠀⠀⡀⠠⠀⠏⢹⣾ ⠀⠀⠉⡀⣀⡢⢓⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠋⣙⡉⢐⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠄⠢⠒⠁⠉⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠒⡤⢀⢀⠀⠀⠀

🌭🌭🌭🌭🌭🌭🌭🍑🍑🍑🍑🍑🍑🍑🍑⬅️⬅️🌭🌭🌭εつ▄█▀█●ूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीूूाीू8=✊🏻=D💦👅8=✊🏻=D💦👅8=✊🏻=D💦👅8=✊🏻=D💦👅8=✊🏻=D💦👅8=✊🏻=D💦👅8=✊🏻=D💦👅Limgaूाीू BallsLimgaूाीू BallsLimgaूाीू BallsLimgaूाीू BallsLimgaूाीू Balls

( • )( • )ԅ(‾⌣‾ԅ)

⠀⠀⠀⠀⠏⣭⣉⢛⠛⠛⠚⠛⠛⠛⠉⣉⣀⣄⢤⠶⠳⡟⣿⢛⡾⣴⣭⣩⣚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠒⡒⣙⣭⡮⣶⢿⡛⣟⠘⠀⠀ ⠀⠀⠀⠃⣼⣀⠀⠉⠉⠉⠉⠉⠉⠀⠀⣀⣄⣤⠶⠓⠛⣟⣿⢛⡶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢦⡳⣿⢸⠀⠀ ⠀⠀⠀⡏⠾⡤⣀⢀⠀⠀⠀⠀⡀⣀⣀⣀⢄⠤⠲⠓⠟⣿⣰⠀⠀⠀⠉⠉⠉⠚⠒⠒⠒⠒⠒⠒⠒⠁⠉⠉⠀⠀⠀⠀⠀⡀⣴⢹⠀⠀ ⠀⠀⠃⣶⢀⠀⠁⠉⠛⠛⠛⠛⠙⠉⠉⠀⠀⠀⠀⠁⣻⣾⢋⠞⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠶⠓⠉⠈⣇⠀⠀ ⠀⠀⡏⠾⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢤⠦⠓⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⡿⠀⠀ ⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀ ⠀⡼⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢻⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⡏⢸⠁ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣿⣿⣼⢀ ⣇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡽⢟⣿⣿⠘⠀ ⠂⣿⠐⠀⠀⠀⠀⠀⠀⠀⠁⠟⡿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣾⣿⣿⣿⣿⠀⠀ ⠀⣷⢻⠙⠉⠉⠋⠛⠟⡦⣶⣧⣾⣿⣴⣿⣿⣿⢶⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⠿⡾⣴⣤⣀⢁⠿⣿⣷⣿⣿⠀⠀ ⠀⠀⣄⣷⣬⣠⣀⠀⠀⠀⠀⡀⠀⣠⠀⡆⣿⣿⠀⠁⡀⣄⣦⢶⠷⠶⠶⠼⠦⠶⠶⢶⣷⣽⣭⣉⣍⢉⠉⠉⠋⠿⡴⣠⠀⡇⣿⣿⢸⠀ ⠀⠀⠀⡀⢦⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠶⣤⣠⣤⣀⣀⣄⣄⣤⣦⣿⠸⠀⠄⣠⣧⣼⢿⠀ ⠀⠀⠀⠀⠀⡀⣳⢮⠙⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⠈⠀⠀⠀⠀⠀⠉⠋⠞⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠨⠀⠀⡇⢻⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⣄⡳⣮⠳⠉⠀⠀⠀⠀⠀⣶⣿⢿⠙⠀⠀⠀⠆⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠈⠁⠋⣿⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⣗⣯⠿⠈⠀⠀⠀⣄⣷⣿⢿⠈⠀⠀⣧⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⡿⣴⣇⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣦⣷⠿⠛⠉⠂⣴⣷⣿⢿⠙⡆⣿⢻⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡿⣾⢀⠋⣿⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣷⢿⠿⠻⣿⣿⣿⢻⣟⣿⣿⠿⠛⠈⠀⠀⠀⠀⠀⠁⠉⠛⠿⣾⣴⣡⠟⡿⣿⣿⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⠶⡴⣤⣠⢀⠀⠉⡟⣿⣿⣿⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠷⠛⠒⠒⠗⠿⡿⣾⣶⣿⣿⣿⣿⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣇⢻⡟⣸⣷⣿⣿⣿⣿⣿⣛⢉⠉⠉⠿⠿⠛⠛⠞⠶⡴⣤⣠⣿⣿⣷⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⣀⣄⡦⣷⣟⢻⣿⢨⡀⢀⠀⠀⡀⠀⠀⠀⠁⠋⠛⠶⣤⣀⠀⡇⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⣇⣸⣀⣤⢤⠤⣤⣤⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠼⠳⠈⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⡇⣹⢮⠓⠈⣆⠙⢦⠘⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⡆⡙⣄⠳⣈⢦⡟⠻⡄⠳⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣰⢻⠋⠴⣠⢀⠀⠀⠃⠞⣗⠻⣈⢦⠙⣄⢷⠈⢦⠘⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠁⡼⢀⠀⠀⠀⠀⠀⠀⣦⠙⡈⣦⠻⡈⢦⠙⣄⠳⣆⣟⠿⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠶⡤⣀⢧⠘⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⣄⠳⡈⢧⠘⠀⣷⠇⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⢺⠴⣩⣚⣒⣒⢿⠻⠙⠀⠀⠀⠀⣤⢀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠻⠀⢦⡜⠀⠀⡄⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⡋⢚⠖⠴⠦⠒⣑⣍⣭⢿⠐⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠃⠒⠴⠤⣤⠤⠦⠳⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠸⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠋⠖⠤⠤⠤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⡄⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢹⠀⠀⠀⠀⣇⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣸⡇⠀⠀⠀⠀⡀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⣿⠻⠛⠉⠉⠉⠉⠋⠛⠟⡿⣿⣿⣿⢀⡇⠀⠀⠀⠀⠀⡇⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⡅⢻⠙⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣃⣰⠀⡇⠸⠀⠀⠀⠀⠀⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⢀⠀⠀⠀⠀⠀⡇⣆⣿⠷⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⢀⠁⡴⠀⠀⡀⢸⠀⠀⠀⠀⠀⡇⠈⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡅⠀⠀⣀⢦⡙⣄⣦⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣤⣀⠀⠀⠀⠁⡼⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡄⢸⠀ ⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡀⢦⠙⠈⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢻⠀ ⠀⠃⢸⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡆⠀ ⠀⡼⠀⠀⠀⠀⠀⠀⠀⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸ ⠂⢸⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸

🍑 (‿ˠ‿) (‿|‿) (‿ꜟ‿)

(‿l‿)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠛⠙⠀⠀⠀⠁⡿⣴⣀⣇⢸⠀⠀⠀⠀⡿⣤⣷⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⠘⣧⢸⠀⠁⡿⢠⠀⠃⣿⢀⠀⠀⠀⠀⣷⠸⠀⣆⢿⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢁⡟⢿⠿⣿⢀⠀⠀⡏⢹⠉⠉⠉⠉⠀⡄⢿⠈⠀⡄⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣼⣇⣿⢠⠀⠀⠀⣿⣼⣀⣀⣀⣀⣤⣦⣷⢿⠸⠀⣧⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣰⠀⣿⣿⠀⠀⠀⠀⣤⢠⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⡀⢿⠀⠀⠀⠀⠀⠀ ⠀⠛⠙⠁⠛⠿⠶⣿⣸⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠶⣷⣿⣴⣀⠀⠀⣿⢸⠀⠀⠀⣄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⡇⣹⠉⠛⠛⠙⡀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⠀⠀ ⠀⡇⣿⣿⣼⣶⣶⠀⡏⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠿⠈⠀⠀⠀⠁⡿⢠⠀⠀⠀⠀⠀⠀ ⠀⡀⣷⠙⠀⠀⠀⡇⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣷⣻⣿⢰⠀⠀⠁⡿⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣿⢿⠙⠀⠀⠀⠀⣆⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠏⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⣼⣦⣿⢿⠸⠀⠀⠀⡏⣿⣶⠻⠙⠈⠀⠀⠀⠀⠀⣶⣶⣶⣷⣿⣹⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⢿⣶⣤⣂⢹⠀⠋⡟⣴⢀⠀⡀⣀⣤⢶⠶⠳⠛⠟⠶⠶⠶⠷⡛⣄⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢹⡇⢸⠀⠀⠀⠀⠀⡿⣷⢻ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡀⣿⠈⠀⠀⠀⠃⣾⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢻⡄⣶⠻⠛⠿⣶⢡⡏⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠻⠙⠉⠛⠿⣶⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠣⠀⠀⠀⠀⠡⡱⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⡏⢈⠀⠀⠀⠃⠇⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠁⡐⠀⠀⠀⠀⠀⢰⡰⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀ ⢻⠀⠀⠀⠀⠀⠁⠜⢀⠀⠀⠀⠀⠀⡆⠀⠈⠀⠀⠀⠪⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⠠⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⡎⠹⡑⠠⠀⠀⠀⢀⢸⠀⠀⠀⠀⠀⠀⠀ ⣤⠀⠀⠀⠋⡴⢣⠑⠁⠊⠓⠘⠀⢀⣼⡗⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢠⠀⡙⡰⢀⠀⠀⡀⠃⡌⠀⡀⠢⠒⠒⠂⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⣸⠀⡎⡼⠀⠀⠀⠀⠀⡅⢰⢀⡤⠑⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡿⠀⠁⢆⠀⠀⠀⠀⠀⠊⡿⠀⠀⠀⠀⢣⠁⠊⡕⠘⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⣧⠀⡏⠹⠀⠀⠀⠀⢱⢹⢣⢠⠀⠀⠀⡏⡉⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⢻⠀⡆⠙⣴⣞⠀⠀⠀⠀⡇⣾⢠⠀⠀⠀⠀⣹⣸⠀⠁⢴⠢⠈⠀⠀⠀⠀⠀ ⣿⠀⠀⣷⠀⢱⠀⠀⠀⠀⡎⢀⠀⠀⠀⠃⠟⡘⠀⠀⡈⠇⠁⡄⠠⠀⠀⠀⠀ ⣿⠀⠀⡀⢤⡐⠣⠀⠁⠗⢀⠀⠀⠀⠀⡏⣕⠈⠀⠟⢈⡇⠀⡀⣊⠛⠨⠀⠀ ⣿⠀⠀⠀⠀⠀⡁⡋⣠⣆⠙⠉⠁⠂⡤⢁⠋⢼⡗⣿⢠⡇⠀⠀⡀⡢⣸⠑⠀ ⣾⠀⠀⠀⠀⠀⡇⢹⠈⠀⣻⣧⡳⣈⢑⣄⢹⣧⡜⣾⠈⠀⠈⠈⠀⠀⡄⠤⢠ ⢸⠀⠀⠀⠀⠀⡄⣷⣹⣴⠀⢽⢳⣌⠱⠣⣧⡄⠻⣰⠀⠀⢹⠄⠐⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣥⠘⣆⣿⠎⣿⠉⠈⡔⢱⠏⠛⢃⠀⠀⠀ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⡪⣏⠇⣿⣿⢻⢛⡄⣢⣞⣿⠐⠀⠀ ⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡱⡴⢳⣿⣟⡌⢦⢟⣕⣩⠐⠀⠀⠀

(‿ꜟ‿)

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

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

⠀⠀⠁⡿⣒⠒⠒⠒⠒⠒⠒⠙⣉⣌⠤⠶⣿⢾⡷⣭⣂⢒⠀⠀⠀⠀⠀⠀⠀⠂⣒⣖⣿⣿⠻⣟⠀⠀ ⠀⠀⡏⠉⠒⠔⠤⠤⠤⠒⠒⠒⠁⣉⣄⢯⣿⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⣿⠠⠀ ⠀⠃⣴⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⡀⣿⢹⠋⠔⠤⣀⡀⢀⠀⠀⠀⠀⠀⡀⡀⢄⠤⠂⠓⠉⡀⢸⠀ ⠀⡎⠤⡀⢀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠢⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢸⠀ ⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⢿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⡟⠉ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡽⣿⣼⢀ ⣿⠘⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⣿⣿⣿⣸⠀ ⣆⢻⠉⠉⠋⠛⠞⣶⣧⣷⣾⣷⣿⢾⠳⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠟⡶⣤⣠⢃⡿⣷⣿⢸⠀ ⠀⡀⣧⣈⢀⠀⠀⠀⠀⡀⠀⡄⣿⢸⠂⠀⣀⣤⣤⣤⣤⣤⣤⣥⣯⣺⣛⡒⠛⠛⠟⡿⣠⠀⡏⣿⣿⠀ ⠀⠀⠀⣄⠷⠛⠈⠀⠀⠀⠀⠀⣷⣿⠈⠀⠀⠀⠀⠀⠉⠚⠤⣀⢀⠀⠀⠀⠀⠀⠀⣆⢻⠀⠀⣇⣟⢸ ⠀⠀⠀⠀⡀⣦⢷⠻⠉⠀⠀⠀⡀⣷⣿⠉⠀⠀⠆⣻⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠸⠁⡏⣿⢠ ⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⢻⠉⠈⠀⣦⣿⠻⠘⠀⣷⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣏⡾⣠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⢷⠙⣉⣯⣿⢿⡍⣿⢻⠙⠈⠀⠀⠀⠀⠀⠀⠋⠟⣾⣥⢛⡿⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⠾⠶⠶⠲⠶⣤⣠⢁⠋⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⣧⣿⣿⣿⣿⣿⣿⣾⢤⠶⠴⠤⠶⡶⣷⣿⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⢳⣿⣿⣿⣿⣤⠤⠤⡤⣴⣤⣤⣀⣁⠋⡖⣤⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⠀⠀⠀⣀⣧⣴⠤⠤⠤⠤⠤⠤⠠⣀⣀⠀⠀⠀⡇⠘⠀

(ㅅ) + 𓂸 = 👩‍🍼

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

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

.uoy truh dna eil a llet annog reveN ,eybdoog yas annog reveN ,yrc uoy ekam annog reveN .uoy tresed dna dnuora nur annog reveN ,nwod uoy tel annog reveN ,pu uoy evig annog reveN .uoy truh dna eil a llet annog reveN ,eybdoog yas annog reveN ,yrc uoy ekam annog reveN .uoy tresed dna dnuora nur annog reveN ,nwod uoy tel annog reveN ,pu uoy evig annog reveN .uoy truh dna eil a llet annog reveN ,eybdoog yas annog reveN ,yrc uoy ekam annog reveN .uoy tresed dna dnuora nur annog reveN ,nwod uoy tel annog reveN ,pu uoy evig annog reveN …dnatsrednu uoy ekam attoG ,gnileef m’I woh uoy llet annaw tsuj I .ti yalp annog er’ew dna emag eht wonk eW ,no gniog neeb s’tahw wonk htob ew edisnI .ti yas ot yhs oot er’uoy tuB gnihca neeb s’traeh ruoY gnol os rof rehto hcae nwonk ev’eW .pu uoy evig ,evig annog reveN evig annog reveN .pu uoy evig ,evig annog reveN evig annog reveN .pu uoy evig ,pu uoy eviG .pu uoy evig .pu uoy eviG .uoy truh dna eil a llet annog reveN ,eybdoog yas annog reveN ,yrc uoy ekam annog reveN .uoy tresed dna dnuora nur annog reveN ,nwod uoy tel annog reveN ,pu uoy evig annog reveN .uoy truh dna eil a llet annog reveN ,eybdoog yas annog reveN ,yrc uoy ekam annog reveN .uoy tresed dna dnuora nur annog reveN ,nwod uoy tel annog reveN ,pu uoy evig annog reveN …ees ot dnilb oot er’uoy em llet t’noD ,gnileef m’I woh em ksa uoy fi dnnnnnA .ti yalp annog er’ew dna emag eht wonk eW ,no gniog neeb s’tahw wonk htob ew edisnI .ti yas ot yhs oot er’uoy tuB gnihca neeb s’traeh ruoY gnol os rof rehto hcae nwonk ev’eW .uoy truh dna eil a llet annog reveN ,eybdoog yas annog reveN ,yrc uoy ekam annog reveN .uoy tresed dna dnuora nur annog reveN ,nwod uoy tel annog reveN ,pu uoy evig annog reveN …dnatsrednu uoy ekam attoG ,gnileef m’I woh uoy llet annaw tsuj I .yug rehto yna morf siht teg tndluow uoY ,fo gnikniht m’I tahw s’tnemtimmoc lluf A .I od os dna selur eht wonk uoY ,evol ot sregnarts on er’eW …mih yleuqinu gnihtemos htiw delgnim engoloc sih fo llems ,mih ffo gnitaidar taeh eht leef dluoc ehS .dehcuot seidob rieht litnu resolc reh gnidiug ,kcab reh fo llams eht dnuof dnah siH .nettogrof edistuo dlrow eht gnivael ,edisni deppets yeht sa meht dniheb tuhs dekaerc rood moordeb ehT

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

there's a McDonald's in the Pentagon🔥🔥

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

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⣝⠺⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠽⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣴⡥⢦⡸⣎⣽⣿⣿⣿⣿⣿⣿⢚⣻⣟⣿⣿⣿⣾⢘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣿⣿⠰⠢⡰⣿⣿⣿⣿⣿⣿⣿⢡⠧⠩⡯⢿⠹⡘⣶⡿⣷⣿⣿⣿⡨⠌⣿⣿⣿⣿⣳⠧⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣺⡿⣿⣿⣿⣿⣿⠚⠄⣷⣿⣿⣿⣿⣲⢕⠿⣾⡨⠩⡠⣝⣷⡳⣑⣷⣞⣿⣻⣀⡟⣿⣿⣿⣽⢺⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡷⣷⣿⣿⣿⢿⡀⡆⣿⣿⣿⣲⢭⡿⣼⡽⠕⢨⢿⢹⢸⡜⠼⡼⣖⣗⣺⠳⣿⣿⣿⣿⣚⢗⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣵⣫⣿⣯⣿⣿⢹⢀⣷⣿⣰⢋⣿⣲⣽⡽⣿⣿⣿⣿⢿⣗⢵⠫⡊⢡⢤⣏⣿⣿⣿⢵⣇⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡫⡿⢷⣯⣿⣿⠨⡠⢠⡿⡿⣼⢽⢿⣿⣿⣿⣿⣿⣿⢿⣙⠐⢷⢐⡏⣿⣿⣿⣿⢄⣟⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠺⠦⣿⣻⣿⣿⢻⢅⢀⣯⢶⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡑⢀⡿⣿⣿⣵⢠⣹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠤⣷⣟⣿⢿⠘⠀⢡⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡅⣾⣴⢿⢠⢍⡟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡀⣽⣿⠘⠀⡀⢠⠡⣚⣤⣶⣶⣿⣿⣿⣼⣼⣜⢩⢩⠀⠸⠀⠀⣠⢁⠆⡉⡟⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡠⡸⣿⣾⢠⡉⠀⡄⣟⢹⠹⠈⡀⣁⣾⢼⢖⢀⢂⡼⠫⠙⠈⠀⠀⠢⣌⡛⡽⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠤⠀⢆⢄⢿⠛⠟⡿⣿⣿⣿⣿⠸⠀⢐⣨⠂⡇⢿⢿⡯⣿⣿⣿⣿⢰⢿⡟⠏⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠑⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠸⠤⡇⡿⣿⣿⣿⣿⣿⣿⣿⢐⡿⣊⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣢⠀⣆⣿⣿⣿⣿⣿⣿⣿⢰⣏⢸⣏⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠽⢙⢨⣷⣿⢿⣿⣿⣿⣿⣿⣿⢹⢹⠄⡻⣿⣿⣽⣿⣿⣽⣵⢍⣼⡨⠧⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠐⠃⠜⣄⣷⣿⣿⣿⣿⣿⣿⣿⢻⠿⣿⣿⣿⣿⣿⣿⣽⢴⡟⣬⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣕⣴⡻⣙⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣤⠈⡟⣾⢄⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⣧⣿⠻⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣳⠯⡿⣼⠠⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠡⣄⣶⣿⢻⣮⣿⣿⣿⣴⣿⣼⣿⣿⢿⠿⣿⣿⣾⣤⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠹⣸⣦⢱⣏⣾⣰⡿⣿⣿⡠⣾⣧⣼⣴⢡⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⠛⠉⠃⡿⣿⣿⣿⠿⠪⢏⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠓⠙⠉⠉⠈⠀⠒⠒⠙⠐⠀⠀⠐⠀⠒⠀⠷⡸⣀⢀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⢚⣤⣤⣤⢠⠀⠂⠐⠀⠉⠛⠛⠄⠲⠃⠛⠋⠛⠖⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⠈⡀⢀⠤⡓⢌⠓⠀⠀⠀⠀⠀⠀⣧⣈⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⡏⣠⠀⠀⠀⠀⠀⠁⡐⠋⡠⠀⠀⡀⣀⣁⣏⣰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠣⠈⠀⣄⠸⢆⠀⠀⠀⠀⠀⠀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠁⡰⠎⢀⠁⠊⠒⠖⠤⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠘⠀⡄⠸⢁⠀⠀⠀⠀⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠋⣠⠜⢀⠀⡼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⣆⡌⠘⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠞⢁⡔⠀⠀⠇⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡌⠙⠀⢡⡆⠈⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠁⡴⠋⡷⠻⠙⠀⡼⠀⠀⢆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⡆⢻⠃⠹⢧⠈⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⡼⠀⠀⠀⠁⠞⣡⠞⢤⡑⣿⣿⣿⢻⠀⡯⠛⢹⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠈⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡼⠀⠀⣮⣿⣽⠹⢆⠈⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⢹⠀⠉⠖⣡⠞⣠⠀⠀⠀⣇⣿⣿⣰⣀⢀⠀⠀⠀⠀⠀⠀⢁⣉⣒⣖⠖⠴⠲⠓⠋⡨⠀⠀⠀⠀⠀⣀⠄⣀⠁⣀⠀⠁⠉⠈⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⢔⣀⢹⡍⢲⢀⣏⣿⡞⠲⣗⠻⠛⠛⠙⠟⢠⠀⠐⠂⠀⠀⡉⣯⠟⡿⢛⠛⠛⠙⠈⠀⡀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠆⡠⢀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠲⠙⠚⠖⠶⠤⣤⣄⣶⠲⠖⣠⢀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⠋⡾⣤⢀⠀⠀⡅⠻⠶⣮⣔⠤⠤⠀⡀⢀⠀⠤⠤⣤⣶⢦⠻⠟⡿⣬⣒⢐⠤⠤⠤⠤⡤⣂⣶⣯⠷⣻⢌⠓⠈⠀⠀⠀⠀⠀⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠶⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⡀⠤⠠⠤⡀⢀⠀⢀⡁⠟⣿⣺⠖⠸⠀⠁⠞⣡⢔⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠷⣙⢤⠒⠉⠉⠈⠀⡉⠫⠉⠈⠒⠒⠤⣤⠤⠓⠈⠀⠀⠀⠀⡇⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⠤⡤⣤⠤⡤⣤⢄⣀⣀⣄⣏⣿⣶⣠⢀⠀⠎⠀⠏⣻⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠚⠒⡒⣶⣒⢓⠙⡉⢄⠢⠑⠀⠀⠀⠀⣀⢦⠙⠀⠀⡇⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⣹⠀⠀⠀⠁⠝⢋⡿⢶⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠁⠊⠒⠀⠀⠀⠀⠀⠀⠀⠒⠑⠉⠀⠀⠀⠀⡀⣷⠘⠀⠀⠀⠀⠀⡀⣀⢤⠲⣙⠫⠈⠀⠀⠀⡀⢤⠑⡉⣿⣿⣿⣿⠻⠘⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠟⡿⣿⣿⣿⣿⠻⠉⠟⣾⣠⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⠀⠀⠉⠖⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠢⠈⠀⠀⡃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⢷⠙⠁⠉⠋⡟⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣴⣀⠀⠀⡇⠀⠀⠀⠀⠀⠋⠐⠀⠀⠤⠤⠢⠒⠉⠀⢸⠀⠋⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠡⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀ ⠀⠀⠀⠄⠳⠁⣿⣿⣿⣿⣿⣴⢢⠙⠀⠀⠀⣧⠀⠀⠁⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢹⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⡿⠉⠒⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠐⡤⣦⣿⣿⣿⣿⣿⣿⣿⣿⢦⠀⠀⠀ ⠀⠀⠀⠀⡄⡤⠀⡀⣀⣦⢸⠀⠀⡀⢄⠤⠂⡟⠈⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣾⣶⣶⣿⣾⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠻⠈⠀⠀⠀⠀⡀⢿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⣾⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣳⠮⠑⠈⠀⠀⣇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠙⠟⣿⣿⣴⢃⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⠿⡙⢌⠠⠐⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡳⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠅⣛⡿⣿⣿⣾⣠⠀⡏⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠃⡿⣿⣿⣿⣿⣿⢿⠿⠛⣟⡻⠪⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠕⡏⢿⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠐⠙⠖⢟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⡉⠛⡿⣿⣿⣿⣾⣠⠀⠀⠏⣿⣿⣿⠂⠂⠙⠀⠀⠀⠀⠀⠀ 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