⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣭⠉⠙⠙⡛⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣿⣿⣿⠧⠤⢾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠰⠉⢩⠋⠡⣲⡦⣶⣽⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀
⠀⠀⠘⢿⣯⡩⠭⠭⣍⣒⠣⣄⠀⠀⠀⢹⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠉⢳⣄⢤⣿⡿⠑⠀⠀⠀⠲⣷⡯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢦⡀⠤⠼⠀⠈⢲⣾⣿⣿⠿⠋⠉⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⡦⠂⡼⣶⢟⠟⠁⠤⠶⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⣿⠣⠃⣴⣾⡶⢿⡾⣿⢿⣿⢿⢿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⡏⢀⣾⣿⠋⣿⣾⣿⣿⣿⣿⣷⡞⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠀⢸⣇⣅⣀⣿⣁⣻⣁⣻⣀⣹⣃⣸⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⡈⠏⠥⣤⣬⣭⣭⣭⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢧⡲⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠉⠉⠁⠀⠀⠀⠀⠀