⠀⠀⣀⣤

⠀⠀⠀⠀⣿⠿⣶

⠀⠀⠀⠀⣿⣿⣀

⠀⠀⠀⣶⣶⣿⠿⠛⣶

⠤⣀⠛⣿⣿⣿⣿⣿⣿⣭⣿⣤

⠒⠀⠀⠀⠉⣿⣿⣿⣿⠀⠀⠉⣀

⠀⠤⣤⣤⣀⣿⣿⣿⣿⣀⠀⠀⣿

⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣭⣶⠉

⠀⠀⠀⠤⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣭⣿⣿⣿⠀⣿⣿⣿

⠀⠀⠀⣉⣿⣿⠿⠀⠿⣿⣿

⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⣤

⠀⠀⠀⣀⣿⣿⠀⠀⠀⣿⣿⣿

⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⣿

⠀⠀⠀⣿⣿⠛⠀⠀⠀⠉⣿⣿

⠀⠀⠀⠉⣿⠀⠀⠀⠀⠀⠛⣿

⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⣿

⠀⠀⠀⠀⣛⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿

⠀⠀⠀⠛⠛

⠀⠀⠀⣀⣶⣀

⠀⠀⠀⠒⣛⣭

⠀⠀⠀⣀⠿⣿⣶

⠀⣤⣿⠤⣭⣿⣿

⣤⣿⣿⣿⠛⣿⣿⠀⣀

⠀⣀⠤⣿⣿⣶⣤⣒⣛

⠉⠀⣀⣿⣿⣿⣿⣭⠉

⠀⠀⣭⣿⣿⠿⠿⣿

⠀⣶⣿⣿⠛⠀⣿⣿

⣤⣿⣿⠉⠤⣿⣿⠿

⣿⣿⠛⠀⠿⣿⣿

⣿⣿⣤⠀⣿⣿⠿

⠀⣿⣿⣶⠀⣿⣿⣶

⠀⠀⠛⣿⠀⠿⣿⣿

⠀⠀⠀⣉⣿⠀⣿⣿

⠀⠶⣶⠿⠛⠀⠉⣿

⠀⠀⠀⠀⠀⠀⣀⣿

⠀⠀⠀⠀⠀⣶⣿⠿

⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⠶⠀⠀⣀⣀

⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿

⠀⠀⣀⣶⣤⣤⠿⠶⠿⠿⠿⣿⣿⣿⣉⣿⣿

⠿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣤⣿⣿⣿⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣶⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⠿⣛⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠿⠀⣿⣿⣿⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⠀⠀⣿⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠀⣿⣿⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⠤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿
⠀⠀⣀

⠀⠿⣿⣿⣀

⠀⠉⣿⣿⣀

⠀⠀⠛⣿⣭⣀⣀⣤

⠀⠀⣿⣿⣿⣿⣿⠛⠿⣶⣀

⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣉⣶

⠀⠀⠉⣿⣿⣿⣿⣀⠀⠀⣿⠉

⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⠿

⠀⣿⣿⣿⠿⠉⣿⣿⣿⣿

⠀⣿⣿⠿⠀⠀⣿⣿⣿⣿

⣶⣿⣿⠀⠀⠀⠀⣿⣿⣿

⠛⣿⣿⣀⠀⠀⠀⣿⣿⣿⣿⣶⣀

⠀⣿⣿⠉⠀⠀⠀⠉⠉⠉⠛⠛⠿⣿⣶

⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿

⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉

⣀⣶⣿⠛

⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣿

⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣶⣿⣿⣿⣶⣶⣤⣶⣶⠶⠛⠉⠉

⠀⠀⠀⠀⠀⠀⣤⣿⠿⣿⣿⣿⣿⣿⠀⠀⠉⠀⠀⠀⠀⠀⠀

⠛⣿⣤⣤⣀⣤⠿⠉⠀⠉⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠉⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠛⠿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⠛⠉⠀⠀⠀⠛⠿⣿⣿⣶⣀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⠀⠀

⠀⠀⠀⠀⠀⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⠿⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠉⠀
⠀⠀⠀⠀⠀⠀⣤⣶⣶

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣀⣀

⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿

⣤⣶⣀⠿⠶⣿⣿⣿⠿⣿⣿⣿⣿

⠉⠿⣿⣿⠿⠛⠉⠀⣿⣿⣿⣿⣿

⠀⠀⠉⠀⠀⠀