⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣄⣀⣴⣒⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣯⠉⢻⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠿⠿⠵⣬⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣡⢿⣿⣿⣿⣿⠁⠀⠀⠀⠈⢻⣿⣏⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣯⣽⠷⠀⢰⣿⣿⡏⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⠛⠛⠿⠃⡜⠛⠿⣷⣾⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠰⠖⠚⠛⣷⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠃⢻⣿⣿⣿⣿⣿⣿⡗⠀⠀⢰⣤⠀⠀⣿⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠀⠀⠀⠀⠀⠀⠀⢠⡴⠒⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⢻⣿⣿⣿⣿⣿⣄⠀⣴⣶⣦⡄⣰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠀⠀⠀⠀⠀⠀⢀⡀⢀⡙⣤⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⠒⠲⠲⠶⢻⣿⣿⣿⣷⣄⡀⠀⠀⠉⠙⢡⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⢷⣄⡀⠀⠀⢠⣄⠈⠻⣦⠻⣦⡙⢦⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣻⡻⠷⠢⠀⣴⣿⣇⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⣿⣷⡆⢄⡿⠉⠳⢤⣹⢧⣤⡹⣷⡙⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣽⣿⣿⡿⠆⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⡼⠁⠙⠿⠿⣟⣿⠿⠁⠀⠀⠘⠋⠀⠙⠧⠟⠿⢹
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠋⠀⣸⣿⣿⣿⣧⠀⠀⠀⠀⠀⣸⣿⣿⣻⣷⠛⠉⠉⣩⣷⣦⣶⣿⣠⠞⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⠾⣿⣿⡆⠀⢸⣿⢿⣿⣿⡟⠷⠶⠶⢶⡿⠋⣿⣿⣿⣿⠀⣴⣾⣿⡟⠛⠒⠿⠏⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡾⠃⠀⠯⠛⠾⣳⣿⣽⣿⣿⡧⠙⢶⣤⡶⠋⢠⢴⣿⣿⣿⣿⣦⣿⣿⣿⠀⠀⠀⠛⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢤⣤⡞⠀⠀⠀⠀⢠⣾⠃⠘⣿⣿⣿⣧⡴⢺⣿⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⡟⣠⡄⠀⠀⠀⣿⡏⠀⢠⣾⣿⣿⣧⠀⣿⡇⠀⠀⢀⣾⢿⣿⣿⣿⡿⣿⣿⣿⣷⡶⠒⠖⠒⠒⢶⠞⠁⠀⠀⠀⠀⠀⠀𝒯𝒽𝑒 𝐿𝒶𝓈𝓉 𝐿𝒾𝓋𝒾𝓃𝑔 𝒞𝑒𝓉𝓇𝒶
⠀⣸⣿⠟⠀⠀⠀⠀⣼⣆⠀⠀⢹⡿⣿⣿⣿⣿⠇⠀⣠⠏⣿⠈⠛⠿⣿⣿⡇⢻⣿⣽⠟⠿⠶⠶⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ‧₊˚❀༉‧₊˚.
⢠⡿⠋⠀⠀⠀⠀⢰⣿⣿⠀⠀⠐⡇⠹⡍⢸⡟⠀⣴⠃⢸⠇⠀⠀⢠⣿⣿⣿⣿⠋⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀