⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣶⡄⠀⠀⠀⠀⠀⢀⣴⣾⠿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠻⣿⣆⠀⠀⠀⢠⣿⡟⠁⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⢧⠿⣧⠿⣴⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀
⢰⣿⣿⣿⣿⣧⣤⠀⠀⠀⢀⣀⠀⠀⠀⠀⣤⡀⠀⠀⠀⣀⡀⠀⠀⠀⣤⣼⣿⣿⣿⣿⡆
⢀⣤⣿⣿⣯⣭⣭⠀⠀⠀⢿⣿⡇⠀⢀⣤⣿⣧⡄⠀⢸⣿⣿⠀⠀⠀⣭⣭⣽⣿⣯⣤⡀
⠘⢻⣿⠏⠉⠉⠉⠀⠀⠀⠈⠉⠀⠀⠀⠉⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⠉⠉⠙⣿⣿⠃
⢀⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡄

⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣶⡄⠀⠀⠀⠀⠀⢀⣴⣾⠿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠻⣿⣆⠀⠀⠀⢠⣿⡟⠁⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⢧⠿⣧⠿⣴⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀
⢰⣿⣿⣿⣿⣧⣤⠀⠀⠀⢀⣀⠀⠀⠀⠀⣤⡀⠀⠀⠀⣀⡀⠀⠀⠀⣤⣼⣿⣿⣿⣿⡆
⢀⣤⣿⣿⣯⣭⣭⠀⠀⠀⢿⣿⡇⠀⢀⣤⣿⣧⡄⠀⢸⣿⣿⠀⠀⠀⣭⣭⣽⣿⣯⣤⡀
⠘⢻⣿⠏⠉⠉⠉⠀⠀⠀⠈⠉⠀⠀⠀⠉⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⠉⠉⠙⣿⣿⠃
⢀⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡄

⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣶⡄⠀⠀⠀⠀⠀⢀⣴⣾⠿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠻⣿⣆⠀⠀⠀⢠⣿⡟⠁⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⢧⠿⣧⠿⣴⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀
⢰⣿⣿⣿⣿⣧⣤⠀⠀⠀⢀⣀⠀⠀⠀⠀⣤⡀⠀⠀⠀⣀⡀⠀⠀⠀⣤⣼⣿⣿⣿⣿⡆
⢀⣤⣿⣿⣯⣭⣭⠀⠀⠀⢿⣿⡇⠀⢀⣤⣿⣧⡄⠀⢸⣿⣿⠀⠀⠀⣭⣭⣽⣿⣯⣤⡀
⠘⢻⣿⠏⠉⠉⠉⠀⠀⠀⠈⠉⠀⠀⠀⠉⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⠉⠉⠙⣿⣿⠃
⢀⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡄

⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣶⡄⠀⠀⠀⠀⠀⢀⣴⣾⠿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠻⣿⣆⠀⠀⠀⢠⣿⡟⠁⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⢧⠿⣧⠿⣴⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀
⢰⣿⣿⣿⣿⣧⣤⠀⠀⠀⢀⣀⠀⠀⠀⠀⣤⡀⠀⠀⠀⣀⡀⠀⠀⠀⣤⣼⣿⣿⣿⣿⡆
⢀⣤⣿⣿⣯⣭⣭⠀⠀⠀⢿⣿⡇⠀⢀⣤⣿⣧⡄⠀⢸⣿⣿⠀⠀⠀⣭⣭⣽⣿⣯⣤⡀
⠘⢻⣿⠏⠉⠉⠉⠀⠀⠀⠈⠉⠀⠀⠀⠉⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⠉⠉⠙⣿⣿⠃
⢀⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⠟⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡀⠈⣿⣿⣿⣿⣿⠟⠋
⠀⠀⠀⠀⠀⣀⣄⠀⠀⢿⣶⣾⣿⣿⣇⣼⣿⣿⣿⣿⡃
⠀⠀⢀⣰⣾⣿⣿⣷⣄⣈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆
⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅
⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣦
⢸⡟⠋⠉⠉⠙⠋⠀⠀⠉⠛⠋⠉⠛⠿⣿⡟⠻⠅⠈⠷⠆
⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

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