⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⠁⠀⠀⠀
⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀
⠈⣿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⠀⠘⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⣶⢿⠈⠇⡀⠀⠀
⠀⠀⠀⠀⠦⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⡇⠛⠀⠀⣀⠷⠀⠀
⠀⠀⠀⠀⠀⠘⠿⣧⠠⣦⣴⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⢸⣷⠸⡟⠈⠃⢀⠀⣄⠿⠇⠀⠀
⠀⠀⠀⠀⠁⣶⠀⡈⠀⠿⠙⣷⠘⣿⢠⣶⠀⣄⠀⢰⣦⢰⣶⢸⠇⢸⣿⠺⠇⠀⠂⠀⣄⠸⣧⠙⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⡿⣴⠀⠀⠀⠀⠃⠀⠋⠀⣿⡆⢺⡇⠈⢿⠀⠃⠀⠙⠀⠀⠀⠀⡀⢻⣦⠙⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⣼⣂⣤⠀⠀⠀⠀⠘⠇⠀⠑⠀⠈⠀⠀⠀⠀⠀⠀⣧⡄⣿⡄⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢹⡿⠀⣠⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⢀⡄⢶⣽⣿⡾⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⠂⣾⡇⢠⡆⢰⣄⣼⡄⣾⣆⢸⣿⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠁⠹⡇⠘⣿⢿⠅⠹⡿⠀⠋⠀⠀⠀⠀