⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣄⣶⠒⠲⢶⣲⠶⣶⡶⠶⢦⣤⣤⣀⡀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡯⢀⣠⡤⡴⢶⠟⣛⣹⠥⠤⠤⠀⠀⠚⠓⠒⠒⠒⠛⠛⢶⣤⡷⢤⠯⢍⣉⣙⡷⠦⣤⣈⢷⡄⠀⠀⠀⠀⠀
⠀⠀⢠⢿⣏⡽⢿⠂⣉⣉⠠⠤⠤⠒⠒⠒⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⢳⠒⠢⠤⠤⠀⣉⣉⠒⠺⠽⣿⡄⠀⠀⠀⠀
⠀⠀⢸⣿⣿⣻⣿⣯⣀⣰⣀⣀⠤⠤⠔⠒⠒⠂⠀⠀⢀⣈⣉⣈⣉⣀⣠⡓⠒⠢⠤⠄⣀⣈⠉⠐⠢⢌⣿⣦⠀⠀⠀
⠀⠀⡞⠀⠀⠀⠀⠀⠈⠉⠛⠲⣤⡀⠒⠒⠊⠉⠉⠉⠀⠀⠀⠀⠀⠀⢈⣽⡗⡗⠒⠠⠤⢄⡉⠑⠂⠤⣌⢹⢦⠀⠀
⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡤⢤⡔⠒⠒⠒⠒⠒⠒⠚⠓⢒⣿⠒⠂⠤⠤⠄⣀⡉⠑⠢⢼⡟⠀⢧⠀
⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⢰⠉⢢⠀⠀⠈⠙⢾⣇⠈⠉⠉⠉⠉⠉⠉⠉⠉⣹⠀⠐⠒⠒⠤⠄⣉⣑⣲⠟⠀⠀⢸⡆
⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠊⠀⠀⠀⠀⠈⠻⣖⠒⠒⠒⠒⠒⠊⢉⣿⣷⣉⠑⠒⠤⢤⣀⣀⣽⠋⡀⠀⠀⠘⢧
⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⣷⡒⠋⠉⠉⢩⣦⣾⡃⠀⠈⢙⠒⠠⢤⠜⠑⠤⠃⠀⠀⠀⣸
⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣶⣶⣿⡿⠿⣿⣶⣶⣧⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⣿
⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣭⣭⣴⣿⣶⣦⣤⠽⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠟⠻⢭⣴⠿⠿⢥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏
⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠻⡄⢀⠏⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁
⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀
⠀⣟⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀
⠀⣧⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀
⠀⢸⡄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀