⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⡀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠈⢻⡄⠀⠀⢸⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠈⠿⣦⣤⡾⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣀⣤⣤⣀⣀⡀⠀⠀⠀⢻⡇⠀⠀⠀⠀⣀⣀⣤⣄⣠⣦⡀⠀⠀
⠀⠀⢀⡴⠋⠁⣤⣤⡀⠉⠿⡏⠉⠉⠉⠉⠉⠉⢹⡟⠋⢀⣤⣄⠈⠙⢶⡄⠀
⠀⠀⣼⠁⣤⣄⡻⡾⣣⣤⡀⢹⡄⣀⡀⢀⣀⢠⡏⢀⣤⣜⠷⠟⣤⣄⠈⣧⠀
⠀⠀⣿⠀⠿⠾⣣⣼⡻⠾⢇⣸⡃⠀⠀⠀⠁⢘⣇⡘⠷⢟⣤⣜⠷⠟⠀⣿⠀
⠀⠀⣾⢧⡀⠀⠿⠾⠇⣿⠛⠛⠹⣦⠀⠀⣴⡏⠉⠙⣷⡘⠧⠟⠀⢀⡼⡇⠀
⠀⢀⡏⠀⠙⠳⠶⠶⣶⢿⣤⣤⣼⠏⠙⠉⠛⢧⣄⣤⡿⣷⠶⠶⠞⠋⣼⠀⠀
⠀⢼⡇⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⢸⣿
⠀⣿⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⣿
⠀⠻⣄⣀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣀⣺⠟
⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀