⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⡄⢠⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⢡⣶⣼⣿⡿⠋⠙⡇⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⢋⠀⢻⡟⠐⠻⣇⠃⠀⠀⠀⠀⠈⠁⠀⣟⣛⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠛⠛⣶⣾⣠⣅⣀⣽⠀⠀⠀⠀⠀⢠⡄⠀⣯⣭⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣦⢠⣿⡟⠀⠈⠉⠁⠀⠀⠀⠀⠀⣾⣻⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⣿⡿⠁⠀⢶⣷⠀⠀⠀⠀⠀⠈⠁⠈⠁⢀⡤⣄⠀
⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣷⣄⠀⡀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡓⣦⠀
⠀⠐⠋⠛⠉⠙⣿⣿⣯⡉⠉⠙⠳⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠉⡏⠁⠈⠉⠁⠀
⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣶⣶⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠂⠉⣴⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⢀⡤⠞⠛⠋⠉⣩⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⡠⠞⠁⠀⠀⣀⣴⣾⠟⠋
⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠁⠀⠀⣊⣀⣤⣴⠿⠛⠋⠁
⠀⠀⠀⠀⠀⣠⠊⠀⠂⠀⠀⠀⠀⠀⢿⡆
⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⣾⠇
⠀⠀⠀⠀⠀⠀⠀⠳⢦⣄⡀⠀⠠⢴⣅
⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⣀⣉⡻⢦
⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⢀⡾⠉⠀⠀⠀⠻⡄
⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠹⠦⣄
⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⢀⣴⣿⡄⠀⠀⠀⠀⠀⣨⣤⡿
⠀⠀⠀⠀⠀⠀⠀⠹⠶⠖⠋⠀⠈⠻⢶⣤⣤⣤⠞⠋