TYB
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠈⠁⠂⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠲⠤⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⣀⠴⠒⠚⠋⠙⠓⠒⠲⢀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠐⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢿⡒⠒⠛⠉⠉⠉⠉⠉⠛⠒⠒⠂⠤⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⡖⠒⢋⣉⠉⠉⠛⠛⠇⡀⠀⠀⡀⢀⣠⡖⠒⠒⠒⣦⣈⣵⣄⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢀⡆⠀⠀⠀⠀⠀⠀⣀⣠⠤⢼⣩⠥⠞⠉⠉⠉⠉⠉⠉⠉⠙⠲⠼⠯⠭⠕⠚⠉⠉⠉⠉⣉⣉⣉⣛⠺⠽⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⡈⠀⠀⠀⠀⠀⢀⠀⠀⠀⠐⠋⠀⠀⠀⣀⠀⡀⢠⣀⣀⠉⠉⠉⠉⠀⣀⠀⠀⠀⠀⢉⣦⣤⣤⣤⡀⠈⠁⠘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠠⡸⠀⠈⠁⠀⠀⠀⠀⠀⠈⠓⠒⠲⠒⠒⠀⠉⠁⠀⣴⣯⣹⡿⠿⢿⣦⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣾⠛⢻⣿⡆⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⡰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣌⠀⠀⢀⣠⣿⣿⣿⣷⣤⡾⠛⠋⢹⠗⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⢁⡴⠉
⠀⠀⠀⠀⠀⠠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠒⠛⠛⠛⠓⠀⣒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠂
⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠊⠁⠀⠀⠀⠀⠐⢦⣀⣀⣀⣀⣠⠤⢀⠉⠁
⠀⠀⠀⠀⡄⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠳⣤⡄
⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠢⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇
⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⡄⠀⢤⡘⠲⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧
⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠑⢠⠀⠐⠠⣄⠈⠓⠒⠦⠤⠤⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⣠⠤⠤⠖⠚⠋⠘⡇
⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠈⠉⠒⢆⠀⠙⠒⠒⠦⡄⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⣠⣤⣤⣤⣤⠴⠖⠁
⠀⠀⠀⠀⠀⠸⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣄⣀⣀⠀⠀⠀⠀⠛⠁⠈⠛⠛⠛⠛⢿⣿⣿⣿⣷⣶⣄
⠀⠀⠀⠀⠀⡀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠉⡩⠏⠛⠻⢿⣿⣿⣷⣦⣀
⠀⠀⠀⣴⣾⠃⠈⠉⠻⢽⣦⠤⢄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠖⠒⠁⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣶⣦⣀⡀
⠀⠀⢸⡟⠈⠁⠀⠀⠀⠀⠀⠙⠀⠶⣌⡉⠙⠒⠒⠒⠒⠲⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠦⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣷⠄
⠀⢠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠥⢐⠀⠐⠒⠒⠂⠤⠤⠤⠤⠀⠤⠤⠤⠤⠤⠔⠒⠪⡁⠀⠚⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢀
⣠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡆
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠤⠄⠒⠒⠒⠒⠒⠂⡀⡇⠀⠀⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠰⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡜⠀⠀⠀⠀⠀⠑⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⡟