⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣤⣤⣤⣤⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣾⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣶⣭⡻⢦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠳⠙⢻⣿⣿⣿⣿⣿⣿⣷⠟⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣴⣿⢁⣸⣽⣿⣿⠋⣿⣿⡟⡿⣿⣿⣄⠀⠀⣹⣿⣿⣿⡟⠁⢸⣶⣌⣷⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣏⠀⣸⡟⡇⡇⠘⢿⣽⡄⠘⣓⢻⣿⣿⢻⣦⣿⣿⣿⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣰⡇⡇⠀⣸⣿⣇⢰⣼⣾⢽⣿⣼⣻⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣴⣡⠿⠖⠛⠁⠟⠙⠋⠉⠁⠀⣁⣀⣘⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⣿⣿⡏⠿⢟⣻⡿⢺⣧⣤⠴⠶⣶⣶⡆⠀⠀⠀⠀⠉⠉⣭⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀
⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⡀⠀⠀⢷⣿⣿⡗⠀⠀⠀⠀⠀⠀⠙⠻⠟⠈⢿⣿⡜⣧⠀⠀⠀⠀
⠶⣾⣿⣿⠿⣿⣿⡏⣽⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⠉⠀⠀⠀⠀⠈⠀⠀⠀⡰⣴⣶⡞⣿⣿⣼⣧⣄⠀⠀
⠀⠀⠀⠀⠀⣿⡿⢠⣿⣿⣿⢻⣿⣿⣿⣧⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠟⢠⣿⣿⡟⠻⠿⠿⠇
⠀⠀⠀⠀⢠⡿⢀⣾⣿⡿⠃⣼⣿⣿⣿⣟⠙⡍⠀⠀⠀⠐⣄⡠⠤⠂⠀⠀⠀⢀⣠⣿⣿⡜⣷⠀⠀⠀⠀
⠀⠀⠀⣀⣾⣵⣿⣿⡟⠀⣼⣿⣿⣧⣝⣫⣿⣁⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⠿⣼⣧⡀⠀⠀
⠀⠀⠘⠛⠉⠉⣸⠏⣠⣾⣿⢟⣻⣿⣿⡿⣟⠫⣍⠻⣄⠀⢰⣿⠩⣭⠟⢿⣿⢿⣿⣿⡏⠀⠀⠉⠁⠀⠀
⠀⠀⠀⠀⠀⠚⠓⠛⠉⠈⠉⠙⣿⣿⠏⠀⢈⠙⢲⡶⣿⣳⣾⣻⣿⢯⡀⠈⣿⡾⠋⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀