⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣴⣾⠟⠛⠉⠉⠀⠀⠀⠀⠀⠈⠉⠙⠻⢷⣦⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣿⢟⡉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀
⠀⢀⣾⠟⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀
⠀⣿⠋⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣧⠀⠀
⣰⡿⠛⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⣿
⣿⡇⢤⡄⠀⠀⢠⣿⡦⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣾⣷⡄⠀⠀⠀⠀⣿⣇⠀
⣿⡷⠾⠶⠀⠀⠀⠉⠃⠀⣴⣶⠀⣸⣿⠓⢠⣶⡄⠀⠈⠁⠀⠀⠘⠛⠶⣿⡇
⢻⣇⠀⢀⡀⠀⠀⠀⠀⠀⠻⢿⣾⠟⠻⢷⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁
⠀⣿⣤⡾⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢶⣾⠟⠀⠀
⠀⠈⢿⣦⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀
⠀⠀⠀⠙⠷⣶⣭⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣟⠁⠀⠀⠀⠀
⠀⠀⣠⣶⠾⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⣶⣄⡀⠀
⣠⣾⢿   ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣆
⣿⡇         ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣦⣤⣤⣤⣤⣤⣾⡿
⠙⠛⠛⠛⠛⠋⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿ ⠀⠉⠉⠉⠉⠁⠀
⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇
⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠰⡿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣶⠿⠛⠛⠛⠀⢀⡆⠀⠀⠀⠀⠀⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⣀⣀⣤⣾⠿⣶⣦⣤⣤⣤⣴⣾⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀