⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠀⠀⠀⢠⣾⣧⣤⡖
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠉⠀⢄⣸⣿⣿⣿⣿⣿⣥⡤⢶⣿⣦⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⣙⣛⣿⣿⣿⣿⡏⠀⠀⣀⣿⣿⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⣦⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣟⠛⠿⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡆
⠀⠀⠀⠀⣠⣶⣶⣶⣿⣦⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠈⢹⡏⠁⠀⠀
⠀⠀⠀⢀⣿⡏⠉⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⢀⣿⡇
⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡘⣿⣿⣃⠀
⣴⣷⣀⣸⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠹⣿⣯⣤⣾⠏⠉⠉⠉⠙⠢⠀
⠈⠙⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣄⠛⠉⢩⣷⣴⡆
⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣀⡠⠋⠈⢿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠛⠁

⠀⠀⠀⠀⠀⣴⠉⡙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⣚⡯⠴⢬⣱⡀⠀
⠀⠀⠀⠀⢸⢹⣿⣿⣄⢻⣿⣷⣝⠷⢤⣤⣤⡶⢋⣴⣑⠟⠿⠿⠿⣿⣿⡀⡇⠀ ⠀⠀⠀⠀⢸⢸⣿⡄⢁⣸⣿⣋⣥⣶⣶⣶⣶⣶⣶⣿⣿⣶⣟⡁⠚⣿⣿⡇⡇⠀ ⢀⣠⡤⠤⠾⡘⠋⢀⣘⠋⠉⠉⠉⠉⢭⣭⣭⣭⣍⠉⢩⣭⠉⠉⠂⠙⠛⠃⣇⡀ ⠏⠀⠀⢿⣿⣷⡀⠀⢿⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣆⠀⢿⣇⠀⠀⠀⠀⠀⠀⠈⢱ ⣦⠀⠀⠈⢿⣿⣧⠀⠘⣿⠀⠀⠀⡀⠀⠀⠘⣿⣿⣿⣿⡆⠀⢻⡆⠀⠀⠀⠀⠀⠀⢸ ⢻⡄⠀⠀⠘⠛⠉⠂⠀⠙⠁⠀⣼⣧⠀⠀⠀⠈⠀⠀⠈⠙⠀⠘⠓⠀⠀⠀⠀⠀⢀⡟ ⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣏⠀ ⠀⠀⠛⢶⢰⣶⢢⣤⣤⣄⠲⣶⠖⠀⣙⣀⠀⠀⠀⠤⢤⣀⣀⡀⣀⣠⣾⠟⡌⠀ ⠀⠀⠀⠘⢄⠃⣿⣿⣿⣿⠗⠀⠾⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⠸⠟⣡⣤⡳⢦ ⠀⠀⠀⠀