⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀
⠀⠀⠀⢀⠗⢎⠀⠀⠀⠀⠀
⠀⠀⠀⢐⠀⠈⠈⡆⠀⠀⠀
⠀⠀⠀⡚⠒⠎⣀⡅⠀⠀⠀
⠀⠀⠀⠄⠀⠀⠀⠆⠀⠀⠀
⠀⠀⢀⠀⠀⠀⠀⡇⠀⠀⠀
⠀⠀⡈⠀⠀⠀⠀⡇⠀⠀⠀
⠀⠀⡁⠀⠀⠀⢀⠇⠀⠀⠀
⠀⠠⠀⠀⠀⠀⡏⠀⠀⠀⠀
⠀⡅⠀⠀⠀⠀⡇⠀⠀⠀⠀
⢀⡸⠄⠀⠀⠀⠉⠀⠉⠢⡀
⡇⠀⠀⠀⠀⡆⠀⠀⠀⠀⠸
⠙⠒⢀⡀⠀⠸⡀⠀⠀⢀⠂
⠀⠀⠀⠀⠉⠓⠋⠒⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⡇⣍⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡅⠀⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡔⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡖⣖⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠃⡧⠀⠑⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢐⠥⠤⠥⠤⠆⢇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀
⠀⢠⠋⠉⠑⣇⠀⠀⠀⠀⠀⡾⢄⣀⡀⠀
⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡆
⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠉⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠃
⠀⠀⠀⠈⠉⠁⠃⠒⠒⠒⠒⠒⠋⠁⠀⠀

⠀⢀⡤⠒⠒⠒⢦⣠⠖⠊⠉⠉⠳⡄
⢰⡇⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⡇
⠸⡕⠂⠀⠀⠀⣀⡾⡀⡀⠀⢀⣠⠇
⠀⠉⠉⠉⢹⠉⠀⠀⠉⡏⠉⠉⠀⠀🍆👴🏿
⠀⠀⠀⠀⠘⡆⠀⠀⠀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⣀⣀⣀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢳⠀⠂⢀⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠣⠤⠞⠀⠀⠀⠀⠀

⣴⣿⡿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠉⠉⠉⠛⠛⣻⡿⠷⢶⣆⠀⠀
⠻⣿⣿⠣⡄⠀⠀⠀⠀⢸⡇⠀⠀⠫⣽⡆
⠀⣿⢹⣿⣾⠶⠦⠶⠶⠿⠷⠶⠖⠛⠉⠀
⠀⢳⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠬⡦⠤⠤⣀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⢀⡗⠀⠀⠀⠙⢆
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇
⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻
⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸
⠀⠀⠀⠀⠀⠀⠀⡷⣄⡀⠀⠀⠀⠀⢀⡴⠃⡏
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠉⠉⠉⠉⠉⠉⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠒⠒⠦⣤⣰⠁
⠀⠀⠀⠀⠀⠩⠽⣿⣶⡀⠀⠀⡠⠒⠒⠊⢿⣆
⠀⠀⠀⢠⣋⡽⢯⠏⠁⠻⣆⡎⠁⠀⠀⠀⢸⢿⣆
⠀⠀⢠⣾⠁⠀⠸⠀⠀⠀⣿⡇⠀⠀⠀⠀⢸⢸⣿
⠀⠀⢸⢹⠀⠀⠀⠀⠀⢠⡏⡇⠀⠀⠀⠀⠈⢦⣿
⠀⠀⠀⠉⠻⢵⣴⣦⣤⣯⣼⠏⠒⢤⡉⠉⢛⠏