⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣾⠁⠀⢦⣾⣤⠆⠀⠻⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣼⠏⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀
⠀⠀⢀⣸⣿⠃⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢿⣧⡀⠀⠀
⠀⢰⣾⣿⡁⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢀⣿⣿⠖⠀
⠀⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⣿⡇⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀
⠀⠀⠀⠀⠈⠻⢿⣷⣄⡀⠀⣿⡇⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣿⣧⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⣻⣿⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀
⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⣽⣿⠀⠀⠀⠙⢿⣿⣦⣄⠀⠀
⠀⣠⣴⣿⡿⠋⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⠀⠀⠈⢻⣿⣷⣄
⠈⠙⢿⣿⣦⣄⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁
⠀⠀⠀⠙⢿⣿⣷⣄⠀⠀⠀⢸⣿⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀
⠀⠀⠀⠀⠀⠙⢻⣿⣷⡄⠀⢸⣿⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣦⣸⣿⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⡿⠁⠀⠀⠀