⠀⠀⠀⠀⠀⠀⠀⠀⣴⣫⣴⣾⣿⣿⣿⣿⣷⣖⡢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⢸⣿⣿⣿⠻⣿⣿⡿⠹⣯⣫⠳⣄⠙⢝⢕⢌⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠒⢉⡟⢹⡞⠁⠈⡙⠪⡑⠠⣽⣯⡢⢥⣶⣿⠏⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡼⢵⣽⠅⠉⠀⠀⠀⡄⠁⠀⠀⠀⢸⢍⢟⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢏⢑⡀⠀⠀⠀⠃⠀⠀⠀⢀⣷⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠈⠭⠭⠃⣠⡺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠹⡑⠢⠀⠠⠊⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠠⠤⢀⠀⠀⡴⠂⠁⠢⢀⠀⢸⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠀⣠⣤⣦⠖⡎⣟⣂⠀⠀⠀⢈⠜⣸⢹⡔⠂⠤⠀⢀⠀⠀⠀⠀⠀
⠀⠀⣠⣤⣶⣿⣿⣿⡇⣸⡇⡿⣬⣣⡀⠀⣎⡼⡹⢸⠇⠀⠀⠀⠀⠀⠉⠐⠠⠀
⢄⠂⢹⣿⣿⣿⣿⣏⠃⢻⣧⢳⡿⣿⢧⣺⢿⠷⡇⣾⡄⠀⠀⠀⠀⠀⠀⣄⠀⠀
⠀⠁⢸⣿⣿⣿⣿⠸⠀⢸⠟⠁⠈⠻⣟⣯⡏⠀⠈⢻⠃⠀⠀⠀⠀⠀⢠⡛⠀⠀
⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⡇⠀⠀⠀⣿⣿⡇⠀⠀⡼⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀
⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠈⡆⠀⠀⣿⣯⡇⠀⠠⠀⠀⠀⠀⠀⠀⠀⡼⠠⠀⠀
⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⠀⢳⠀⠀⣿⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡇⠀⠀
⠀⠀⢸⣿⢿⡇⠀⠀⠀⠀⠀⠈⣆⠀⣿⣻⣽⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⡆⠀⠀
⠀⠀⠀⢏⠂⡇⠀⠀⠀⠀⠀⠀⠐⣁⣿⢷⣻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠔⠁⠀⠀
⠀⠀⠀⠈⢆⢠⠠⠀⠀⠀⠀⠀⠀⢀⣿⢯⣿⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠘⡦⡓⠀⠀⠀⠀⠀⠀⢘⣯⣟⣾⠀⠀⠀⠀⠀⠀⠀⠀⣇⠡⠀⠀⠀
⢠⠤⠀⠂⠉⢹⠀⠀⠀⠀⠀⠀⠀⢨⡷⣯⢿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠉⠀⠒
⠨⠀⠐⠒⠒⠀⡀⠀⠀⠀⠀⠀⠀⢰⡿⣽⣻⡀⠀⠀⠀⠀⠀⠀⢸⠀⠁⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡽⣳⢯⡇⠀⠀⠀⠀⠀⠀⠈⠀⡇⠀⠀⠀
⠀⠀⠀⠀⠉⢰⡀⠀⠀⠀⠀⠀⠀⠸⠱⠩⠞⡇⠀⠀⠀⠀⢀⠌⠀⠄⠃⠀⠀⠀
