⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⣦⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡏⠀⣿⠀⠀⣶⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⡟⠀⠀⡿⠀⢻⣿⣿⣿⣄⣶⢦⣄⠀
⠀⣸⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⢸⣷
⣸⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠰⣤⣀⣴⠆⠀⢠⣾⣿⣿⣟⡀⣀⡾⠃
⠛⠿⢿⣿⡿⠟⣙⣷⣀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡉⢻⣿⣯⠉⠉⠀⠀
⠀⠀⠀⠀⢠⡾⠉⣠⠿⠛⠷⠶⠶⠶⠛⠻⣧⡈⢻⣿⣿⠘⣧⠀⠀⠀
⠀⠀⠀⣠⠏⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠈⣿⣾⠀⠘⠁⠀⠀
⠀⠀⠀⣿⠀⢰⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⣿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠻⣄⢈⣿⣿⣶⣄⠀⠀⠀⠀⣴⠟⣿⡇⢀⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⢹⡃⠀⢀⡿⠀⠀⠀⣾⠉⠛⠉⢉⣿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢻⠋⠀⠀⠀⠀⢻⣄⣀⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣤⠀⠀⣀⣀⣀⣀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⣿⠛⠛⠛⣿⠛⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⡶⠿⠷⠶⢶⣿⠚⠛⠙⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⢷⣤⣀⣠⣴⠿⠥⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀