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