⣿⠿⣶
⠀⠀⠀⠀⣿⣿⣀
⠀⠀⠀⣶⣶⣿⠿⠛⣶
⠤⣀⠛⣿⣿⣿⣿⣿⣿⣭⣿⣤
⠒⠀⠀⠀⠉⣿⣿⣿⣿⠀⠀⠉⣀
⠀⠤⣤⣤⣀⣿⣿⣿⣿⣀⠀⠀⣿
⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣭⣶⠉
⠀⠀⠀⠤⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣭⣿⣿⣿⠀⣿⣿⣿
⠀⠀⠀⣉⣿⣿⠿⠀⠿⣿⣿
⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⣤
⠀⠀⠀⣀⣿⣿⠀⠀⠀⣿⣿⣿
⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠀⠀⠀⣿⣿⠛⠀⠀⠀⠉⣿⣿
⠀⠀⠀⠉⣿⠀⠀⠀⠀⠀⠛⣿
⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠀⣛⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿
⠀⠀⠀⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠶⠀⠀⣀⣀
⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿
⠀⠀⣀⣶⣤⣤⠿⠶⠿⠿⠿⣿⣿⣿⣉⣿⣿
⠿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣤⣿⣿⣿⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣶⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⠿⣛⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠿⠀⣿⣿⣿⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⠀⠀⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠀⣿⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿

⠀⠀⠀⠀⠀⠀⣤⣶⣶
⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣀⣀
⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿
⣤⣶⣀⠿⠶⣿⣿⣿⠿⣿⣿⣿⣿
⠉⠿⣿⣿⠿⠛⠉⠀⣿⣿⣿⣿⣿
⠀⠀⠉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣤⣤
⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿
⠀⠀⠀⠀⣀⣿⣿⣿⠿⠉⠀⠀⣿⣿⣿⣿
⠀⠀⠀⠀⣿⣿⠿⠉⠀⠀⠀⠀⠿⣿⣿⠛
⠀⠀⠀⠀⠛⣿⣿⣀⠀⠀⠀⠀⠀⣿⣿⣀
⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠿⣿⣿
⠀⠀⠀⠀⠀⠉⣿⣿⠀⠀⠀⠀⠀⠀⠉⣿
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣀⣿
⠀⠀⠀⠀⠀⠀⣀⣿⣿
⠀⠀⠀⠀⠤⣿⠿⠿⠿

⠀⠀⠀⠀⣀
⠀⠀⣶⣿⠿⠀⠀⠀⣀⠀⣤⣤
⠀⣶⣿⠀⠀⠀⠀⣿⣿⣿⠛⠛⠿⣤⣀
⣶⣿⣤⣤⣤⣤⣤⣿⣿⣿⣀⣤⣶⣭⣿⣶⣀
⠉⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠿⠿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠛⠿⣿⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⣿⣿⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣶⣿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉

⠀⠀⠀⠀⠀⠀⣶⣿⣶
⠀⠀⠀⣤⣤⣤⣿⣿⣿
⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣶
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⣿⣉⣿⣿⣿⣿⣉⠉⣿⣶
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿
⠀⣤⣿⣿⣿⣿⣿⣿⣿⠿⠀⣿⣶
⣤⣿⠿⣿⣿⣿⣿⣿⠿⠀⠀⣿⣿⣤
⠉⠉⠀⣿⣿⣿⣿⣿⠀⠀⠒⠛⠿⠿⠿
⠀⠀⠀⠉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⣿⣿⣿⣿⣿⣶
⠀⠀⠀⠀⣿⠉⠿⣿⣿
⠀⠀⠀⠀⣿⣤⠀⠛⣿⣿
⠀⠀⠀⠀⣶⣿⠀⠀⠀⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶
⠀⠀⠀⠀⠀⣀⣀⠀⣶⣿⣿⠶
⣶⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤
⠀⠉⠶⣶⣀⣿⣿⣿⣿⣿⣿⣿⠿⣿⣤⣀
⠀⠀⠀⣿⣿⠿⠉⣿⣿⣿⣿⣭⠀⠶⠿⠿
⠀⠀⠛⠛⠿⠀⠀⣿⣿⣿⣉⠿⣿⠶
⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠒
⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣿⣿⣿⠛⣭⣭⠉
⠀⠀⠀⠀⠀⣿⣿⣭⣤⣿⠛