⠀⠀⠀⠀⠀⠀⣰⠟⠓⢦⣄⢀⣀⣀⣀⣀⣀⣀⣠⡴⠖⠛⣦⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⡇⢠⠶⠂⠈⠉⠉⠀⠀⠀⠈⠉⠁⠀⠲⢦⠘⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠢⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⠀⠀⠀⠀⠀
⠀⠠⠤⣤⣟⣀⣀⠀⠀⣾⣷⠀⠀⠀⣤⡄⠀⠀⢰⣿⡦⠀⠀⣀⣘⣇⣤⠤⠀⠀
⠀⠤⠤⢼⣧⣬⣭⡥⠀⠈⠁⠀⠀⡀⣸⡁⣀⠀⠀⠉⠀⠀⣬⣭⣥⣧⠤⠤⠄⠀
⠀⢀⡤⠤⣷⠶⠒⠀⠀⠀⠀⠀⠀⠉⠁⠉⠁⠀⠀⠀⠀⠀⠐⠲⢶⡧⠤⣄⠀⠀
⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢻⣦⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⡴⡾⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠇⠈⠉⠙⠛⠛⠓⠒⠚⠛⠛⠛⠉⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡟⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀
⠀⠀⠀⣾⠀⠀⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀
⠀⠀⠀⡇⠀⠀⣇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡟⠳⢦⡀⠀
⠀⠀⠀⡇⠀⠀⣿⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⢸⣿⡆⠀⢻⡄
⠀⠀⠀⢻⡀⠀⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⣾⠛⠁⠀⢸⡇
⠀⠀⠀⠀⠻⣤⣸⡄⠀⠀⣸⠏⢹⡄⠀⠀⢀⡏⠀⠀⠀⢀⣠⡾⠃⠀⣀⣤⠟⠀
⠀⠀⠀⠀⠀⠀⠉⠙⠓⠛⠛⠛⠛⠛⠓⠚⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⡇⢠⠶⠂⠈⠉⠉⠀⠀⠀⠈⠉⠁⠀⠲⢦⠘⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠢⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⠀⠀⠀⠀⠀
⠀⠠⠤⣤⣟⣀⣀⠀⠀⣾⣷⠀⠀⠀⣤⡄⠀⠀⢰⣿⡦⠀⠀⣀⣘⣇⣤⠤⠀⠀
⠀⠤⠤⢼⣧⣬⣭⡥⠀⠈⠁⠀⠀⡀⣸⡁⣀⠀⠀⠉⠀⠀⣬⣭⣥⣧⠤⠤⠄⠀
⠀⢀⡤⠤⣷⠶⠒⠀⠀⠀⠀⠀⠀⠉⠁⠉⠁⠀⠀⠀⠀⠀⠐⠲⢶⡧⠤⣄⠀⠀
⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢻⣦⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⡴⡾⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠇⠈⠉⠙⠛⠛⠓⠒⠚⠛⠛⠛⠉⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡟⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀
⠀⠀⠀⣾⠀⠀⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀
⠀⠀⠀⡇⠀⠀⣇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡟⠳⢦⡀⠀
⠀⠀⠀⡇⠀⠀⣿⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⢸⣿⡆⠀⢻⡄
⠀⠀⠀⢻⡀⠀⣿⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⣾⠛⠁⠀⢸⡇
⠀⠀⠀⠀⠻⣤⣸⡄⠀⠀⣸⠏⢹⡄⠀⠀⢀⡏⠀⠀⠀⢀⣠⡾⠃⠀⣀⣤⠟⠀
⠀⠀⠀⠀⠀⠀⠉⠙⠓⠛⠛⠛⠛⠛⠓⠚⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
