⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠛⣇⠀⢰⠟⢷⡀
⠀⣴⣦⣰⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢹⠀⡼⠀⠈⡇
⢸⠃⠘⣿⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢈⡄⡇⠀⠀⣳
⣿⠀⠀⢹⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢠⢄⣼⢸⣅⡒⡀⣽
⣿⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢺⡬⣟⡼⢮⣕⣣⣿
⣿⣆⠀⠘⢠⣤⣄⠠⣤⡀⣿⢀⣤⠀⠀⢠⣤⡀⠀⣤⡄⢀⣀⠀⢸⡿⣼⣧⣟⡳⢮⣳⣿
⢹⣿⣆⠀⠀⢻⠀⠀⢸⠀⣿⡿⢿⡇⠀⡾⠀⣷⠀⠸⡇⠀⢻⠀⢸⣟⣧⢿⣼⢻⣝⡷⡟
⠈⣿⣿⡄⠀⢸⡇⠀⡎⠀⣿⠁⠸⣧⠀⡇⠀⣿⠀⠐⡇⠀⢸⠀⠀⣿⡾⣽⣾⣟⡾⣽⡇
⠀⠘⣿⣷⠀⠸⡇⠀⡇⠀⣿⠀⠀⣿⠀⠋⠀⣿⠀⢈⡇⠀⢸⠀⠀⢿⣽⢾⢻⣯⣟⣿⠁
⠀⠀⢹⣿⠀⠀⣧⢰⠃⠀⣿⠀⠀⣿⠀⠀⣴⣿⠀⢈⡇⠀⢸⠀⠀⢸⣿⣾⢺⣯⣟⡿⠀
⡄⠀⠀⣿⠆⠀⣿⣰⠀⠀⣿⠀⠀⣿⠀⣸⠃⣿⠀⠀⡇⠀⢸⠀⠀⠘⣯⡇⣿⣟⣾⠇⠀
⡇⠀⠀⢸⡇⠀⢻⣽⠀⠀⣿⠀⠀⣿⢀⡇⠀⣿⠀⢈⡇⠀⢸⠀⠀⠀⢿⣿⣿⡽⣿⠀⠀
⣧⠀⠀⣸⠀⠀⢸⡟⠀⠀⣿⠀⠀⡇⢸⡇⠀⣿⠀⠀⡇⠀⣼⡀⠀⠀⢸⣿⣿⣿⡇⠀⠀
⣿⣄⢠⡟⠀⠀⠸⡇⠀⠀⢿⣄⣸⠃⠘⣷⣴⣿⡖⠈⣿⣤⣿⣦⠀⠀⠀⣿⢿⣿⠁⠀⠀
⡏⠹⠿⠃⠀⠀⢀⠇⠀⠀⠘⠿⠏⠀⠀⠻⠃⠻⠃⠀⠹⠏⠾⠁⠀⠀⠀⢸⣾⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⠁⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀