⠀⠀⠀⠀⠀⠀⠀⠀
⡼⢰⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣿⡀⡄⠀⠀⠀⢠⣀⠀⡏⢣⡀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠸⡄⠀⠀⠀⠀⣇⠀⠀⣷⠀⠀⠀⠀⠀⠀⠙
⠣⡇⠀⠀⠀⢠⡇⠀⠀⠀⢰⠂⠀⡏⣇⣷⠀⠀⠀⠈⢯⠉⢻⠒⠳⡄⠀⠀⠀⠀⢳⠀⠀⠀⠀⣇⠀⠀⠀⠀⢸⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀
⠀⠃⠀⠀⠀⢸⠇⠀⠀⠀⢸⠀⢸⡧⢏⢹⡀⠀⠀⠀⠀⠑⠺⡇⠊⠘⢢⠀⠀⠀⠈⣧⡀⠀⠀⢸⠀⠀⠀⠀⢸⡅⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠠⠀⠀⠀⠀⢸⠇⠀⠀⠀⣾⠀⡿⠄⢼⠾⢧⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠑⢤⡀⠀⠸⡳⡀⠀⢸⠀⠀⠀⠀⢸⡄⠀⠈⣷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠸⡇⠀⠀⢀⡗⣰⠁⠀⠀⢣⡌⢢⡀⠀⠀⠀⠀⡇⠀⣰⣂⣀⣀⣭⣶⣤⣷⣿⣄⠘⡆⠀⠀⠀⢸⠆⠀⠀⣿⣤⣤⣤⢶⠾⠷
⠀⠀⠰⣧⠀⠀⣇⠀⠀⣼⣷⠃⠀⠀⣀⣠⣿⡀⠑⢄⡀⠀⠀⡇⠀⠙⠿⣿⣿⡿⣿⣿⣿⡆⠈⢲⡇⠀⠀⠀⣼⠀⠀⠀⣿⣧⣐⣤⣮⣼⣷
⢸⠀⠀⣿⡀⠀⢿⠀⣰⣿⣧⣶⣶⣿⣿⣯⠀⠁⠀⠀⠈⠢⢄⡇⠀⠀⢰⡾⠟⠷⠟⠛⣻⠃⠀⢰⠃⠀⠀⣰⡇⠀⠀⠀⣏⣿⡿⢟⢻⣿⣋
⢸⡆⠀⢿⣧⠀⢸⣦⠟⠛⠛⣿⣏⣻⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠋⠁⠀⠀⡸⠀⢀⣴⡟⠀⠀⠀⠀⣿⡟⣡⡼⠋⣠⠟
⠨⣇⠀⠘⣿⣦⠀⢿⡀⠀⠺⣟⣉⣉⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢰⡅⠔⠋⣿⠀⠀⠀⠀⠀⣿⡼⠋⠀⢸⣁⠀
⡇⢹⡀⠀⢻⣿⣧⡈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠛⠛⢦⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⡿⠛⠢⣄⠀⠉⣿
⣷⠀⢧⠀⠘⣿⡸⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⡪⠃⠀⠀⠈⡇⠀⠀⠀⠀⢀⣴⣯⠀⠀⠀⠀⣸⡇⠀⠀⠈⢣⢸⠇
⣿⡄⠈⣧⡀⢸⡇⣹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡦⠴⠖⠮⠭⠒⠉⠀⠀⠀⢀⡼⠁⠀⠀⣠⣴⣿⡛⡧⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠼⣇
⠙⢳⡀⢸⡙⠲⢷⣸⣿⡷⠦⣀⡀⠀⠀⠀⠀⠀⠀⠳⢄⡀⠀⠀⠀⣀⣀⡠⠔⠋⣀⣠⡴⠛⠉⠀⠀⠉⡧⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠠⡟
⠀⠀⠁⠘⣇⠀⠀⠙⣿⡅⢠⡟⠉⠙⠓⠒⠦⠤⠤⠤⣤⡬⣭⣭⣭⠬⠴⡒⢚⡿⠛⠉⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠘