⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣽⣿⠿⠿⠛⠛⠛⠻⠯⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⢿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣅⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢺⣿⣿⢷⣦⣄⠀⠀⠀⠀⢀⣶⣶⣄⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣧⣿⣿⣿⣷⣤⠀⠠⣿⣿⣿⣿⡕⠀⢿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢘⡏⣽⣿⣿⣿⣿⡇⠀⠈⢿⣿⣿⡿⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⡟⠻⢿⠟⣹⡇⠀⠀⠈⠻⠟⠃⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢻⣷⣦⣤⣶⣿⣷⣶⣤⣄⣀⠀⣐⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⢻⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡄⣿⣿⣿⣿⣿⣿⣿⠁⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣤⣶⢼⠀⡜⣿⣿⡟⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⣴⣶⣞⣿⡟⢸⢠⣿⣿⣿⡟⠜⢿⣿⡿⠀⢀⠉⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣹⣿⣿⣿⣿⡷⣹⣿⣿⣿⣿⣿⣄⠀⠀⠀⣠⠂⠀⠀⠀⠀⠀⠀⠀