⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⠛⠋⠉⠉⠉⠉⠉⠙⠛⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⡀⠀⠀
⠀⠀⠀⣀⡾⠃⠀⠀⠀⠀⣾⡛⢶⡄⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠈⢿⡄⠀
⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⢿⣥⣸⡇⠀⠀⠀⠀⢿⡕⠙⣧⠀⠀⠀⠀⠀⠈⣿⡀
⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⣿⣉⢻⡆⠀⠀⠀⠀⣾⠃⢸⡗⠀⠀⠀⠀⠀⠀⢸⡇
⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⢸⡇⠀⠀⠀⠀⣸⡇⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇
⠀⣿⡀⠀⣠⣄⣀⣀⠀⠀⣿⡀⣾⠃⠀⠀⠀⠀⣿⢰⡟⠁⠀⠀⠀⣀⣄⠀⢸⡇
⠀⠘⣷⠀⠛⢻⣿⠟⠀⠀⠹⢧⡿⠀⠀⠀⠀⠀⣹⠏⣿⠀⠀⢰⣾⣿⡟⠃⠀⣿
⠀⠀⣿⠀⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⢀⣾⡿⠀⠀⢠⡟
⠀⠀⢿⣄⠀⠀⠀⠙⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠁⠀⣰⡟⠀
⠀⠀⠀⠙⢷⡄⠀⠀⠹⣿⣷⣤⣄⡀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⣸⡏⠀⠀
⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠉⠉⠻⣿⣷⣤⣤⣤⣤⣾⡿⠁⠀⠀⠀⢀⣿⠀⠀⠀
⠀⠀⠀⠀⠸⣧⣄⣀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠙⠛⠋⠁⠀⠀⠀⣰⠟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢹⡇⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣾⣿⡇⠀⢠⣾⠟⣦⡀⠀⣠⣤⣀⡾⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⠘⣧⣀⣾⠃⠀⢸⡇⠀⣿⠌⠛⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⣇⢀⡿⠀⠈⠉⠀⠀⠀⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀