Bunny Girl ASCII Art

⠀⠀⠀⠀⠀⠀⢁⣴⣶⣶⣤⣀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣠⣶⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⣽⣃⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠈⢻⣦⠀⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⣰⠇⣸⡟⠙⢻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⢀⣿⣷⡀⠘⢆⠀⠀⠀⠀ ⠀⠀⣰⠃⣴⡏⢀⣿⠁⠀⠀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠋⢸⡇⠀⣿⣿⣷⡀⠀⠳⡀⠀⠀ ⠀⢠⠏⣴⡿⠀⣾⡏⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣤⣤⣤⣤⣾⣿⣿⣿⠋⠀⠀⠈⣇⠀⠘⣿⣿⣷⡀⠀⠹⡄⠀ ⠀⣿⠏⢸⣗⣼⡿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣷⣄⠀⠀⠀⢹⡀⠀⠻⣿⣿⣷⡀⠀⠸⡀ ⢸⠇⣶⣾⣿⣿⠃⠀⠀⠀⠀⠀⣤⣼⣟⢋⡬⣽⡟⣟⡛⢿⢿⡛⠻⡿⠿⣿⣦⠀⠀⠈⣧⠀⠀⢻⣿⣿⣿⡄⠀⢇ ⣿⣶⣾⣿⣿⠃⠀⠀⠀⠀⢀⣞⡟⣯⣴⣾⣿⠃⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠸⣇⠀⢉⣽⣿⣿⣿⡄⠈ ⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⡼⣞⣾⢿⣿⣿⡏⠀⣿⣿⡋⠻⣿⢻⣿⣿⣿⣿⣿⣿⡇⠀⢀⡙⣆⠀⠠⣾⣿⣿⣷⠀ ⠹⠿⠿⠋⠀⠀⠀⠀⠀⢰⡿⣹⡏⡿⣽⡿⠀⠀⠈⠛⠃⠀⠸⠀⠛⠿⣿⣿⣿⣿⣿⡀⠀⠀⠘⠷⣄⣨⣿⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠃⣿⣿⣇⣿⣡⣴⣶⠀⠀⠀⠀⠚⣿⣿⠟⢾⡏⢿⣿⣿⣿⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⡿⣿⣿⣿⠁⠛⠛⠀⠀⠀⠀⠀⠀⠁⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⢿⣯⢾⣿⡿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢠⢿⣿⣿⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠘⣿⣿⣿⣦⣄⣀⠀⠀⣀⡴⠞⣿⣁⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣬⣿⣿⣿⣿⣿⣿⡛⠋⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣿⣿⣿⠿⢿⢿⠛⢅⠈⠳⠤⣀⡀⠾⣿⡛⠛⠛⠻⠿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⡟⠉⠀⠀⠈⢏⣆⠠⠷⡀⢰⣾⣽⣷⣿⣿⠖⠀⠀⠀⠈⢻⣷⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣿⠁⠀⠀⠀⠀⠈⠸⡄⠀⠈⠀⢻⡏⠀⠏⠋⠀⠀⠀⠀⠀⠈⣿⣯⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⣿⣿⣾⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣿⣿⠀⠀⠀⠀⠀⢰⠁⠀⠀⡀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⢈⣼⣿⡜⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⡀⠀⠀⠀⠀⠘⠀⢀⡴⢻⠓⢤⡀⠀⠀⠳⡀⠀⠀⢀⣴⣋⠈⣿⣿⠹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⠻⡇⠀⠀⠀⠀⠀⠀⣼⠀⠛⣇⠀⠉⠳⣦⡀⢃⠀⣰⡟⠃⠀⠀⣼⣿⣧⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⢻⡏⢸⣷⠀⠀⠀⠀⠀⣸⡇⠀⠀⠘⠀⠀⠀⣶⣿⣶⣴⣿⣤⣤⣴⣾⣿⣿⡟⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡆⠸⣧⣼⢹⡆⠀⠀⠀⠀⣿⣿⣦⣤⣸⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⢻⡏⣼⣷⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡇⠘⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢰⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡿⣧⣿⣹⡇⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⡾⢣⣿⣿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⡇⣿⠇⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠾⠛⠁⢠⡿⡿⣿⠇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⡇⠋⠀⡯⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠔⠋⣼⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⡇⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⢀⣠⡴⣻⣿⣿⣿⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⠁⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠋⠉⠉⠙⢿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠁⠀⢰⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠊⠀⠀⠀⠠⠀⠀⠈⢻⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣟⣾⠷⣄⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⡀⠀⠀⠠⠈⠀⠀⠀⠀⠈⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⠟⠁⠀⠙⡆⠀⡇⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣴⣿⣶⣤⡀⠈⠂⠀⠀⠀⠀⠀⣠⣶⣿⢶⡄⠀⠀⠀⠀⠀ ⠀⠀⡰⣡⢫⡟⠻⣿⣿⣦⡀⠀⠀⠀⠀⣼⣿⣿⣿⠀⣿⣄⠱⡀⠀⠀ ⠀⢰⣡⠏⣼⠁⠀⠈⠻⣿⣿⣦⣀⣀⣼⣿⡿⠋⠈⡇⠹⣿⣆⠈⠄⠀ ⢀⢏⣸⣿⠇⠀⠀⠀⣠⡾⢻⣿⡿⣿⣿⣿⣷⡄⠀⢡⠀⢻⣿⣆⠈⡀ ⢸⣶⣿⠏⠀⠀⢀⣾⣫⣾⡞⣷⣿⣿⣿⣿⣿⣿⡆⠀⢧⠈⢿⣿⣆⠁ ⠘⠿⠟⠀⠀⠀⡾⣿⡿⡿⠀⠘⠃⠈⣉⡿⣿⣿⣿⡀⠈⠣⣌⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⣿⡗⠿⠂⠀⠀⠙⠋⣿⣽⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢃⢸⣿⣧⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⢻⣿⣧⣄⣀⣀⠤⢺⣹⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⡿⡓⠄⡀⠸⡿⠿⠿⢿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡿⠁⠀⠘⢣⠒⠀⣾⠿⡿⠃⠀⠀⢹⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⡄⠀⠀⠈⠀⠀⠀⠀⠀⢄⣿⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣇⠀⠀⠀⠀⣠⠦⢄⡀⠑⡀⠀⢠⢞⢻⣞⡆⠀⠀ ⠀⠀⠀⠀⠀⡏⣿⢹⠀⠀⠀⢠⠇⠹⠀⠈⣲⣄⣰⣋⣀⣼⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⡇⢻⡾⡇⠀⠀⢸⣧⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⢨⣿⣿⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⡟⣽⣿⠈⠀⠀ ⠀⠀⠀⠀⠀⡠⠟⢡⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⡟⠁⡧⠃⡇⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⢐⣡⣿⡇⠀⠀⣿⣿⣿⣿⣿⠟⠀⠀⡇⠀⠀⠁⠀⠀ ⠀⠀⠀⢀⠤⠚⠙⠻⣿⣇⠀⠀⣿⣿⣿⣿⡏⠀⡄⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠔⠁⠀⠀⠀⠀⠘⣿⡀⠀⢹⣿⣿⠞⠑⡄⠁⠀⠃⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢾⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠒⠲⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣧⡑⣄⠀⠀⠀⠀⠀⠀⠈⠓⠤⢀⣀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠿⢾⣷⣤⣤⣠⡤⣄⡀⠀⣴⡿⣿⢇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣦⡙⣿⣿⡿⢣⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⡟⣹⣿⣿⣿⣿⣿⡿⣋⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⢿⣿⣿⣿⠟⠋⣹⢿⣿⣿⡟⣷⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠙⠃⠀⢸⣧⣸⣿⣿⣇⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣎⣧⣀⠀⠀⠀⠛⣻⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣟⠻⣧⣉⡂⢀⣠⣿⣿⣿⣯⡟⠻⣿⡿⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠂⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣤⡉⠛⡏⠁⠀⠚⠻⣍⢻⣷⣏⣀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⡕⠛⠓⠲⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣏⠙⢲⣧⠀⠀⠀⠀⡸⡄⢻⣿⣿⣷⡀⠀⠀⣠⠞⠩⣿⡂⠀⠀⠼⠁⠀⠀⠀⠀⣹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⡟⠑⢸⠈⣆⣠⠤⠖⠳⡇⢸⠿⣿⣿⣧⠤⠚⠛⠓⢦⠘⢧⠤⠖⠒⠒⠀⠀⠀⠀⣽⣿⣆⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡟⠀⣾⣛⣧⠘⣇⠀⠀⠀⣷⡎⠀⢘⣿⣿⡀⠀⠀⠀⠀⢣⠘⣦⣀⡀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠉⠑⠲⠤⢤⣀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠟⠀⣼⠛⠁⠀⠐⢿⠀⠀⠀⢻⡀⠴⢻⣿⣿⣇⠀⠀⠀⠀⠘⠀⢁⠀⠉⠙⠒⠦⣄⡀⠀⢸⣧⣀⣀⣀⣀⣀⣀⣰⠂⢀⣀⡉⠉⠒⠶⣤⡄ ⢀⣀⣠⠀⣸⠀⠀⣿⡀⠀⠀⠀⠀⢧⠀⠀⠈⡇⠀⠈⣿⣏⢻⣦⣀⠀⠀⢠⠀⢈⡀⠀⠀⠀⠀⠀⠉⢡⣿⡋⠈⠻⠋⢉⠛⠮⣽⣷⠖⠒⠿⢭⣉⣙⣻⣿ ⠸⠿⢤⣴⣧⣀⣠⢿⣿⣶⣤⣀⣀⡼⠇⠀⠀⢸⣦⣀⣻⣿⣿⣿⣿⣷⣦⠈⣠⡌⠙⠒⠤⣄⣀⠀⠀⢸⡿⠛⠒⠲⠦⠤⠤⠞⠛⠁⠀⠀⠀⠀⠀⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠳⢤⣀⣀⣠⣉⣭⣭⣿⣿⣿⣿⡿⢿⡌⠙⠛⠛⠒⠒⠒⠛⠛⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣿⣿⣿⠿⠛⢻⣿⣿⡋⠉⣀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⣭⠝⠛⠓⠒⠛⠛⠉⠉⠛⣛⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠋⡾⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢶⠙⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⢦⠒⠒⡖⠶⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣄⠦⠳⠓⠼⡦⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⠹⠀⣶⡤⢡⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣾⠀⣀⣄⣤⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⣷⣽⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢠⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠞⢀⠀⡄⣻⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣰⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣜⠲⠙⠀⠀⠀⠀⠉⡴⢀⠀⠀⠀⡄⢳⠈⠀⣄⠳⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣶⣾⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠘⡀⣄⠦⠶⡶⢙⠉⠉⠉⠉⠉⠚⠴⣤⠲⠉⠀⡀⢦⠲⠙⠈⠀⠀⠀⠀⠋⡿⣋⡟⢸⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠀⠀⣆⣻⠈⠀⠀⠀⠀⠀⡀⣀⢧⠻⠛⠛⡛⣛⡛⡿⣿⣿⣿⣿⣿⠠⠀⠀⠀⠀⡜⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⠀⠀⣇⢿⠙⠀⠀⠀⠀⠁⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡇⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠞⣤⢷⠛⠶⠔⠧⠘⠀⠀⡀⢦⠙⠊⠑⠀⠀⠀⣄⣳⢬⠤⠤⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠀⠀⠀⢠⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠋⡴⠀⠀⡀⢱⠉⠉⡞⢀⠀⠀⠀⠀⡀⣦⡙⢦⠘⠀⠀⠀⢦⠙⠀⠀⡇⣿⣟⣿⣾⣷⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⢠⠀⠀⠀⠀⠁⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⡆⠘⠀⠀⠀⡀⠳⠀⠀⣻⡴⣀⠀⠀⡀⣄⣶⣿⣿⣠⣧⣿⣼⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⢳⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⢌⠀⠀⠀⠀⠀⢧⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⣿⣸⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠈⠀ ⠀⡀⢧⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠈⠀⠀⠀⠀⠇⣿⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⢸⠀⠀⠀⠀⠀⣯⣿⣿⠿⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠘⠀⠀⠀⠀⣿⣀⣀⣄⣠⣄⣤⣤⣤⣤⣤⣤⣀⣀⢸⠀⠀⠀⠀⠀⡇⣿⣿⣿⢻⠀⠀⠀⠀⡄⢸⠀⠀⠁⡏⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡄⣷⣶⣿⣾⠓⠉⠀⠀⠀⣧⠋⠴⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⡇⣌⢷⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡄⠹⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠏⣿⣽⡤⢻⡴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣄⢹⡄⠹⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⢳⡿⣧⡿⢀⡆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⠻⡗⢾⡤⠳⣌⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠸⠀⠀⠀⠀⠀⡇⢠⠀⣄⣳⢌⣦⢽⠮⠛⠙⠉⠉⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣤⣉⢙⡿⢶⠤⠧⣿⠲⡛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⡇⠻⠒⠟⣿⣴⠀⠀⣄⣻⣿⠴⠤⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠈⠀⠀⠀⠀⢻⠟⣿⣠⠀⠀⠋⡴⣞⢿⠀⣉⣍⠯⠺⠑⠉⠈⣀⢄⠳⠈⠀⠀⠀⠀⠀⡎⣷⣟⣰⢀⠀⠀⠀⠀⡃⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⠀⣄⠲⠉⠉⠉⠉⣚⣒⣥⣯⡾⣀⠋⣰⣿⣶⠤⠤⡤⣦⠙⠈⡀⣉⠭⠒⡉⢭⠠⠁⠉⠞⢠⠈⡄⠳⠤⠢⠛⠈⠀⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠋⠒⠒⠷⠿⣰⠀⠀⠀⠀⡀⢧⠬⡤⣀⣋⣼⢀⠁⡟⢸⠨⣸⠀⠀⠀⠀⡆⡲⣻⣈⣋⠔⣨⣀⣉⣟⣨⣀⠓⠐⢀⠀⡀⠿⠛⣏⣾⡿⢿⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⣠⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠏⢰⠀⠟⣠⠀⠀⡼⡾⠀⠁⣷⠘⠀⠀⠀⠃⡾⣀⢧⢛⡟⢞⣤⣟⣠⠀⠀⠀⠀⠀⡧⡟⣿⣾⣹⢳⣆⣼⣧⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠢⠒⠖⣤⠤⡤⣀⠀⠀⣿⢻⠀⡇⢡⢸⠀⡞⡈⢿⠙⠀⠏⣴⠀⠀⠀⣿⣵⠀⠀⢿⠼⠤⠁⠀⠈⠁⠌⣤⡤⠷⣯⠘⠀⣷⣹⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡻⢦⡗⡇⢀⠀⢿⢠⣿⣿⢿⣸⠀⠀⠀⣿⢸⡤⠀⠰⡿⠟⣿⣿⣴⢳⠆⠀⠀⠀⠁⡞⢹⠀⡇⣧⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⡈⣷⢸⠀⣸⠀⣼⣷⣿⢿⠈⠀⠀⢻⢀⠀⠀⠀⣧⣚⣶⠛⠙⡀⢷⠓⠛⠛⡿⢈⣧⠈⡄⡏⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠏⣠⣀⢧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢾⡟⠀⠀⢸⠀⢿⠀⣦⣽⢿⠀⠀⡆⠘⠀⠀⠀⠀⢻⠀⠀⡀⢦⡷⠘⠇⡾⣀⣀⣄⣽⠁⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⢨⠀⠃⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣎⢹⠀⢀⠀⡇⠈⠀⣀⣿⢻⠛⠀⣆⠈⠀⠀⠀⡆⠘⠀⠀⠀⡀⢤⡶⢀⠀⠀⠃⣰⡟⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢣⣦⠹⠀⠀⠀⢠⠀⠀⡆⣿⣿⠛⠙⢢⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠄⠀⠋⠟⣠⠀⠀⠀⠀⠀⠀

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Elliot <3 ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣦⣤⣄⡀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠙⠀⠀⠀⠈⢻⡆⠀⣴⠞⠋⠉⠉⠙⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡛⠂⠀⠀⠀⠀⠀⠈⣿⣾⠋⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⠁⠀⠀⠀⠀⠀⠀⠀⣽⢇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠄⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⡟⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡆⠀⠀⢀⣀⣀⡀⢸⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣘⡟⠰⠛⠛⠉⠙⠉⠈⠃⠀⠀⠀⠀⠀⠀⢰⣾⡟⠚⢶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⢀⡬⢹⡇⠀⠀⠀⠀ ⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠚⢷⣼⡷⠀⠀⠀⠀ ⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣷⠀⠀⠘⢿⣷⠀⠀⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠀⠀⠀⢹⣧⠀⠀ ⣿⢣⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣡⠀⠀⠀⠻⣧⠀ ⣿⡾⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣤⠀⠀⠀⠀⠀⠀⠀⣼⡇⠃⠀⠀⠀⠀⢹⣇ ⠹⣧⡀⠀⠀⠰⣦⣸⣶⠄⠀⠀⠸⡿⠿⠇⠀⠀⠀⠀⠀⠀⢢⡿⠅⠀⠀⠀⠀⠀⠀⣿ ⠀⠈⠻⣦⣒⠸⠛⠻⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⣄⠀⠀⣾ ⠀⠀⠀⠈⢙⣷⢶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠁⠀⠀⠀⠀⠀⣼⢏⣠⣾⠟ ⠀⠀⠀⢀⣾⠃⠀⠀⠉⠛⠛⠻⠶⠶⠶⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⣰⡾⠛⠛⠉⠀⠀ ⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⢲⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⡾⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣧⡀⠀⠀⣡⣿⠛⠻⠶⣾⠀⠀⠀⠀⠀⠀⠈⢾⡟⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠛⠛⠋⠁⠀⠀⠀⢿⣦⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣤⣀⣦⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢻⣿⣞⢆⠀⠀⠀⠀⠈⠓⢤⠀⡈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠷⣷⣤⣤⣤⠤⣀⣠⡿⡿⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣿⢿⣿⣿⣷⣼⡿⠟⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣶⣿⣿⡷⠞⣻⣿⣿⢿⡜⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠙⠀⢸⣅⢿⣿⣏⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⣧⠤⡀⠈⢩⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢮⡓⠶⡖⠋⠹⢿⡻⣦⣝⠁⠀⠀⠀⠀⠀⡞⠁⠀⠙⠲⠶⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡋⠲⣇⠀⠀⠀⣡⠸⣿⣾⣆⠀⢀⡤⠊⣷⣂⠀⠴⠁⠀⠀⢀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⠋⣹⡈⣦⠒⠂⠺⣀⠛⢿⣿⠒⠋⠉⠓⡌⢖⠒⠀⠉⠁⠀⠀⢿⣧⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡻⠁⡼⠗⠛⢬⡂⠀⠸⡏⢀⢼⣿⣇⠀⠀⠀⢰⠈⠓⠒⠤⢀⡀⠀⠀⣿⠀⠀⠀⠈⠉⡁⠒⠒⠢⠤⣀⣀⠀ ⢀⣀⡀⢀⠁⢰⣇⠀⠀⠀⠱⡀⠀⢱⠀⠘⣿⢻⣦⡀⠀⢠⠀⡃⠀⠀⠀⠈⠑⢰⡏⠉⠻⠛⠛⠭⣷⠤⠿⠷⣒⣒⣿⡇ ⠘⠛⠲⠿⠤⠴⠻⢷⣦⡤⣔⠃⠀⠈⢧⣤⢿⣿⣿⣿⣷⢈⣴⣈⡑⠲⢤⣀⣀⣿⠋⠁⠒⠒⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣑⣶⣶⣷⣶⣿⣿⠿⠟⢙⣦⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢬⡻⠛⠲⠶⠾⠛⠓⠒⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢄⢸⠜⠀⡀⢸⠀⠀⠀⠀⡠⠦⠈⠀⠀⡇⢧⣉⡲⠜⣩⡲⣇⠦⠓⠈⠀⡀⢧⡡⢖⡩⡜⢣⡜⠧⡏⡴⣰⢌⡐⠌⠢⢈⡼⠇⣈⢑⠡⠠⢿⠀⠀⠀⠀⠀⠀⠠⣧⠬⣙⠭⣝⡺⢷⡌⠵⡎⡑⡷⠀⠆⣎⡜⢃⠡⢂⠠⡏⢳⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢯⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⢀⠢⡋⡀⠱⠀⠀⠀⠀⢀⣃⠀⠼⡀⠀⣆⡜⡄⠌⡘⠠⢘⡡⡒⢭⠓⠈⣄⠻⢆⡍⢖⡋⣼⢠⡩⠄⢊⡅⠂⢆⠃⢠⠇⠌⠡⡊⠄⣏⠲⠀⠀⠀⠀⠀⠀⠀⢶⠤⢃⢳⣌⡟⣦⡑⠶⣉⡼⠃⣬⢏⡔⠈⠱⢂⢿⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⡖⠌⢳⠀⠀⠀⠀⠀ ⠀⠀⣧⠀⠀⣀⢳⠀⢄⠙⠀⠀⠀⠄⡠⠰⠀⠀⠀⡀⢢⠜⠂⣁⠆⡉⡖⠇⣉⡧⠣⠈⣄⢓⡾⣤⡐⢌⠐⡨⠐⠱⢂⢡⡆⢨⡇⠆⠁⠰⢎⡇⡀⠑⠀⠀⠀⠀⠀⠀⡄⠘⣺⠱⢦⡙⠸⣢⠬⢛⢠⢶⢏⢲⠡⢂⠡⢂⠇⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⣉⠶⣉⣧⠹⠀⠀⠀⠀ ⠀⠀⡄⠀⠀⠀⡀⠱⠀⡀⢑⠂⠀⠀⢀⡀⠐⠀⠀⠀⠀⡀⢦⢋⠤⡘⡱⢪⡱⡜⠣⣩⠳⠉⣄⣄⠲⡑⠌⡐⡌⠃⡡⠐⢎⡀⣱⢢⡑⠬⠎⣇⠘⠀⢀⢌⠃⠈⠀⠀⠀⡇⢾⡡⢞⠣⣌⠻⣌⡜⡇⢣⣸⠰⡘⡌⠐⢨⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡱⢢⡜⠣⣑⠦⣹⠈⠀⠀⠀ ⠀⠂⠁⠰⠀⠀⠀⡀⠡⠀⠀⠀⠈⠀⠀⠡⡀⠰⠀⠀⠀⠀⠀⡀⣢⡜⢎⡓⢌⡱⢣⡟⣨⠡⣐⠬⠒⠉⡉⢉⠭⠛⠡⡔⠎⣃⡌⠱⢪⡕⢌⡱⢸⠀⠀⠀⠑⢧⠈⠀⡀⠐⣘⣢⠞⢤⡦⠟⢻⠉⡿⡏⢱⠤⠎⡀⠜⢂⡌⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡬⠐⢩⡔⢃⡱⢎⡧⠌⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠈⠀⡀⠢⠈⠀⢄⡀⠢⠈⠀⠀⠀⠀⠀⣆⢛⢢⡜⣘⠿⢎⠁⢢⠄⠡⢂⠄⠀⡀⠀⢁⢈⡀⠄⢀⡤⠌⠱⣺⡜⠣⣮⠀⠀⠀⠀⢂⢋⠀⠀⠄⠇⠊⡐⠢⠟⢰⠀⠀⣿⣗⠣⡴⢆⢂⠡⢆⠂⢇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢰⢉⠤⠐⡨⠔⡊⡕⢊⢱⢠⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⢁⠀⠀⢤⠒⠈⠀⡀⠀⠑⠀⠀⠀⠀⢣⢱⢧⡏⢢⠔⡈⠒⣀⠀⠀⠀⠀⠀⠀⢆⡈⠘⠀⠀⠀⠀⠀⢼⡐⢪⢕⢫⠀⠀⠀⠀⡀⠠⠀⠀⣇⢸⠀⡀⡢⠑⠀⠀⡇⡩⢳⡽⢢⢄⡈⠰⢂⢀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢌⢂⠑⡠⠔⡈⠰⢌⠣⣄⠳⡌⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢹⠀⠀⠀⡀⠄⠐⠀⠀⢄⠑⠀⠀⡇⡱⠴⣼⠌⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡐⠬⠂⠁⠀⠀⠐⠀⢀⡡⠰⢿⠘⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⢁⠸⠀⡇⠟⣩⢡⠠⢀⠀⠀⠀⠀⠀⠀⢄⠂⠐⠉⠉⠈⠀⠁⠉⠉⠂⠔⣀⠀⠀⠀⢀⠡⣂⠌⡑⠆⢁⠢⣍⠣⢐⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⡀⠢⠀⠀⠡⠁⡾⣠⡇⢀⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠄⠠⠀⠀⠀⠀⠀⡄⡇⡸⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⡾⢊⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠤⡈⠒⡠⠔⡈⠳⣌⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⡀⠀⡆⣘⡀⠃⡀⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⡀⢳⠀⢄⠐⠀⠀⠀⠀⠀⠀⠀⠁⡴⢠⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠡⣃⠄⡌⠓⣆⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠈⠀⠀⠄⠦⠒⠓⠘⠁⣌⠐⠌⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⢤⠉⠈⠀⠀⡄⡹⠀⡀⠀⠀⠀⠀⠀⠀⠔⣁⡐⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠢⢈⡔⠊⢥⠘⢠ ⠀⠀⠰⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡠⠀⠀⠀⠀⠀⠄⡣⠐⢾⢜⠘⠈⠀⠀⠉⠖⡤⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠄⡌⠑⢢⠰⢀ ⠀⠀⢀⡑⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠡⠓⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠢⠒⠈⠄⠃⠐⠀⠤⠤⠤⠠⡀⢀⡀⣀⣀⠀⠀⡀⣀⠀⠤⠂⣙⠏⢩⠣⣁⠈⢀⠉⠋⠐⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢀⠨⢑⠢⣍⠠⢘ ⠀⠀⠀⠀⢀⡱⠰⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡰⠾⠰⠀⠀⢀⠱⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣈⣶⣿⣀⣀⣆⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠆⠁⡈⠇⢁⢰⠀ ⠀⠀⠀⠀⠀⠀⡀⠄⢂⠍⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⡒⣖⠲⠒⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⢆⠡⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡐⢳⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⡐⠜⡣⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣌⠤⠂⠐⠉⠈⠀⠀⠀⠀⡀⢄⢄⠰⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡷⠠⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠄⡘⢸⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠷⢯⡍⣙⣯⠬⠺⠓⣜⡾⣋⢆⡙⢢⡜⢓⡤⡞⣹⠀⠀⠐⠀⣷⡌⠳⢌⡱⠲⣩⠦⠙⠃⠐⠋⠴⠘⣡⢦⡻⡕⣊⠵⠯⠙⠻⢞⡵⣛⣭⠞⠁⠉⠀⠀⠀⠀⠉⠀⠛⠉⠤⠪⠀⣌⡘⠀⠀⠀⡄⢼⣏⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡵⢫⡴⣘⠆⢁⡠⠒⣂⣅⠳⣜⢿⢃⢣⡑⢦⡌⡑⢦⠇⣎⢞⠭⠴⠫⡗⡌⠒⡌⡑⠦⢊⢤⡚⢃⡤⠘⢣⡄⠘⢠⡘⣧⣛⣀⢂⡌⠳⡜⣠⠀⠀⡀⢀⡄⣤⣠⢤⣤⠠⣀⠀⠀⠀⠀⣂⢔⠀⠀⠀⠀⠀⢴⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⢎⣴⡊⠄⠘⢆⡈⡔⠂⢠⡘⡆⡙⣿⠡⢠⡘⠢⢌⡉⠤⠐⢯⣆⠽⣌⠳⣎⢼⠼⠭⡻⠝⠽⢯⠭⢒⡚⠒⢒⡑⠌⡌⠄⠨⡐⢷⢹⡍⠢⢾⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡟⣀⠜⠃⢄⠊⢠⠎⡁⢆⡁⠐⢦⡙⣽⠃⡠⠑⢠⠜⠂⡡⠆⠈⣳⣇⡼⡟⢏⠤⣀⠀⡆⢠⠀⠀⡀⣤⠺⠀⠀⠀⠀⣀⢄⠦⡑⡌⢳⣣⢦⢛⣜⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠑⠀⡞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠗⣼⣛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⡨⠐⠱⢂⠠⢌⠡⢐⡨⠐⡰⢞⡇⢺⠠⡔⠃⡄⠊⢄⠩⢂⠆⡁⢢⣿⣼⣠⠠⢀⠀⠀⠀⠀⠀⠀⠎⢠⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⢹⢢⡄⡑⢦⢞⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⡆⠘⢸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⡿⢟⣻⣷⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠌⢂⡌⠐⠣⣀⠘⢡⡐⠌⡑⢦⡛⣇⢼⡈⢒⠡⡌⠐⢡⠌⠢⢁⢠⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⣧⢳⣉⡐⠎⡁⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢸⢨⣜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⠿⢯⣿⣿⣽⡿⣾⣷⣻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠅⢂⠌⡑⠡⢂⡐⠑⠤⡙⡲⢎⠣⣗⢩⠟⠭⠫⠑⣂⠐⠩⢄⡩⠎⣷⠈⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡀⠀⣆⠼⠛⢈⠰⣎⠈⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢼⠂⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⣟⣿⣟⣿⢿⣷⡾⢳⣭⢮⡹⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⢂⠌⠡⠢⢈⡰⠋⢧⣈⠵⢋⢡⡿⡴⢂⠄⡐⣤⠻⢂⠐⡸⠀⢏⠀⡀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⣇⠌⣊⠦⠙⢦⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⣿⠄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠊⡯⣿⣿⣿⣿⣭⡵⡞⣏⡜⢳⢮⣍⡳⣎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠸⢁⢀⠸⢁⡾⢁⢱⡆⠱⠏⡿⣶⣰⣀⣀⣀⣀⣶⢿⠷⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⢀⠀⠀⣹⢏⢶⡹⢇⢿⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠁⡹⣿⣿⣿⣿⢱⣹⣎⡹⣎⠷⣇⡸⢏⣰⠿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠹⢃⠼⣜⡐⢫⡔⡠⢀⠏⢠⠀⠀⠀⠀⠀⠀⠀⣆⠘⣡⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢠⠃⠀⠀⠀⡆⢸⠀⡀⢆⡹⢳⠉⠎⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⡅⠈⡇⡘⠀⠀⠀⠀⠀⠁⠟⢿⣾⣟⡵⣺⡷⣦⣛⢇⢫⣕⡳⢬⡹⢱⣮⠝⣣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⡉⠎⣠⠀⠀⠀⠃⢰⠀⠀⠊⠎⡴⢤⢤⠂⠙⣆⡎⠸⡀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⡗⠀⠀⠀⠄⢸⠀⠀⠀⡀⢧⣎⠷⣱⢮⠙⠀⠀⠀⠀⠉⠀⠘⣸⠸⡇⠀⠀⠀⠀⠀⠟⣾⣟⡿⣿⣷⣽⡿⣮⣱⢞⣩⠵⣫⠴⣎⡐⡹⢆⠡⢲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢏⠻⠀⠀⠀⡾⠀⠁⡪⡠⠀⠀⠀⠀⠀⡀⢤⠲⣼⠑⠀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢸⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀⣄⡹⣳⠜⢣⣍⡢⢝⡢⠞⣡⡔⠊⢳⡄⠘⠀⠀⠊⡿⡿⣿⣿⣭⡝⢮⡱⠶⢜⣫⠴⣘⠳⢌⡱⢓⢦⡙⢧⣘⡽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢋⡴⣀⠀⠀⠀⡇⢠⠌⢔⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣏⠈⠂⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⡏⠀⠀⠀⠂⠀⡇⠘⠀⠀⠀⠀⠀⡄⡸⣷⢺⡘⢦⡉⢆⠃⢂⡠⠀⠁⠁⢠⠞⣷⣾⣿⡿⣿⣿⣻⣽⣟⣥⣶⡟⢋⣭⡜⠻⣌⡹⡱⢶⡜⢫⡴⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⢏⢠⠀⠀⠀⠀⠁⣠⠌⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢳⠀⡀⠂⠈⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣸⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡄⡞⢷⠌⢂⠐⠠⢀⠀⠀⠀⡇⣎⣩⡟⢯⣟⣿⣿⢿⣿⣾⣽⠿⣹⣻⡜⣳⢮⡽⠞⣎⡝⡲⣝⡜⢹⣧⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣏⢰⣇⠀⠀⠀⠀⠀⡸⢿⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡘⢱⠈⠀⠀⠄⠐⠈⢀⠠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢀⢸⠀⠀⠀⠀⠀⠀⣳⠀⠀⠀⠄⠰⠀⠀⡄⡱⢡⠀⠀⠀⠀⠀⠀⠀⡌⢟⣿⣧⣛⢧⣶⣽⣾⣿⣿⡻⣜⣻⢾⣷⠿⣘⣷⢿⣍⠳⣥⠺⣝⡟⢯⡾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡖⠀⡜⠀⠒⠀⡾⠦⡿⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡀⢦⠘⠀⠀⠀⠀⠀⠀⠠⠂⠐⡀⢉⠍⠀⠤⠠⠄⠀⢀⠀⠃⢀⠀⠀⠀⠀⠀⠀⡏⠹⠀⠀⠀⠀⠀⠀⠀⡀⢦⢫⠀⠀⠀⠀⠀⠇⣯⣾⣳⢬⡹⢳⣬⡻⣯⡜⣿⣿⣿⢿⣞⣻⣮⡼⣛⣾⡝⡻⢿⡿⣿⡴⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠷⢸⡄⠐⠃⢸⠀⢀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⠀⠀⠀⢁⠠⠀⠀⠀⠀⠀⠀⠉⣼⡀⢧⠈⠀⠀⠀⠀⠀⠀⠀⣄⢳⠈⠀⠀⠀⡀⣷⣿⢲⣝⡱⢎⣙⠶⢏⣧⣳⣼⣾⣿⣿⣿⢿⣟⡶⣴⣤⣄⣤⣠⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠂⠒⡒⢰⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠣⠌⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢈⠐⠀⠠⠀⠀⠀⠀⠊⠄⡁⡞⢀⠀⠡⢰⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠈⠀⠀⠀⡁⣦⣷⡝⡳⢎⣓⡴⢛⣩⢶⣏⢿⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⠢⢄⠽⠈⠄⠛⠐⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣸⠀⣀⠄⠠⠀⠒⠁⠀⠄⠥⠂⢐⢐⠐⠠⠀⠀⠁⠐⠠⢉⠚⠏⣴⠀⠀⠋⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⣆⣁⠥⠦⠏⠓⡯⢾⣝⡻⣖⠶⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⡰⢠⢀⠀⠀⡄⠈⠀⡇⠠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠁⠄⣀⡀⣀⡤⠓⠐⡉⣁⠨⠀⠀⠀⠀⠁⠊⡴⢥⡂⢄⣋⡴⢀⠀⠋⡿⡶⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⣽⠄⠠⠰⡗⠀⣸⠆⣁⣤⠷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠂⠒⠐⠮⡠⢀⠀⠀⠀⠀⠀⠀⠄⠐⡁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⠠⠀⠀⠀⠀⠀⠀⢄⠑⠀⡉⣔⠠⡐⣨⠃⠔⡠⠀⠋⡴⢀⠘⠠⠄⠀⣄⣷⢟⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣤⣕⠮⡓⠀⣸⠆⢁⡨⠌⡑⣄⠮⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⣌⣒⠬⠶⢳⠉⠀⠀⠉⠈⠉⠀⠀⠀⡀⡧⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠠⠀⠀⠀⠀⠊⠘⠁⠊⠤⣀⠀⠉⠀⠠⣀⠀⡁⠍⡤⢀⠂⡬⢳⠙⠀⠀⠀⠀⣄⣷⠻⠀⠀⠀⠀⠀⠀⠀⡞⡎⢒⣉⠰⢎⡇⢸⣃⢧⠳⠍⢂⡑⠌⢂⠌⡆⠢⠙⠀⠀⠀⠀⠀⠀⠁⠋⠉⠛⠛⠛⠽⠿ ⡾⣟⣯⣟⣯⠳⢹⣎⣬⠻⢎⣼⣎⢇⠢⠈⡏⠀⢳⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠂⠠⠀⠀⠀⠀⠏⠁⣴⢊⡠⠈⠄⡈⠀⡀⠀⠋⠔⣁⠘⡔⠀⠀⠀⠀⡘⣤⠳⠙⠀⠀⡀⣧⢿⠘⠀⠀⠀⠉⡱⠞⣱⢆⠡⡱⢆⡎⠨⠇⢡⠦⡈⢵⠲⡙⢌⠣⢄⠣⡀⢣⠙⠛⠿⡿⣿⣿⣷⣿⡿⣽⢿⣾⣿ ⣝⡻⢷⣻⣽⣿⡷⢯⢹⣯⢘⣯⠔⠫⢳⣏⠱⢄⡀⠰⢀⠣⠤⠂⠐⠂⠒⠒⠒⠀⠄⠀⣁⢈⠀⠔⠀⠀⠀⠁⠑⡾⢸⡌⣀⠀⡀⣀⠊⠁⠊⠤⣀⠁⠕⣨⠀⠀⠀⠀⠉⠂⠒⠖⠶⡹⢯⠻⠈⠀⣦⣿⠻⠈⠞⢋⣰⣆⡙⢤⡘⡱⢮⡟⣀⡇⡠⢄⡤⡒⠖⢃⣤⠳⣋⠟⡿⣿⣾⣿⢷⣞⡳⣼⣿⠷⣛⣮⡷⣞⣿ ⣧⡹⣵⡹⣶⣟⣻⣷⢯⡿⣽⡟⣹⢿⣯⡹⣿⠸⠁⠘⠀⠀⢀⠠⠀⠐⠀⠀⠒⠒⠩⢀⠄⢁⡐⠀⠈⠔⡀⠋⡴⠆⠀⠁⠈⠁⠈⢐⠠⢀⠀⠉⠔⢙⠀⠰⣀⡤⣑⠀⠀⠀⢆⡄⠀⣥⠀⣀⣤⠳⠙⣦⣿⡻⢾⡀⠦⢉⡠⣳⡌⠲⠑⣯⠀⡇⠁⠉⠛⠿⠟⠭⣧⣿⣿⣿⣾⣿⡟⣚⡽⣷⣯⣗⢺⣹⠷⣎⢳⣮⣟ ⢮⡝⡮⡓⣬⡿⣟⣾⣿⣿⣽⡿⣯⣿⢎⣸⡽⣿⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⡠⠀⣀⣄⠘⠉⡡⢹⠏⢃⣰⠠⣉⠛⠚⠒⠐⠠⣀⠌⠀⢂⢂⡆⠀⠀⠀⡀⠠⠑⠀⢂⠀⡀⠀⠀⠀⠀⣄⢳⠛⣔⢀⠀⠀⡍⡻⠙⣄⡳⢊⡧⠀⡅⣾⣵⣛⣦⡝⣣⣷⡾⣿⢯⣚⣵⠿⣇⡽⡳⢏⣩⠶⣎⡱⢞⣩⢶⣟ ⢎⡱⢖⢫⣿⣿⣾⣿⣿⣿⡷⢯⣿⢳⢧⣍⠳⣽⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢹⡼⠊⢠⡝⢬⡲⡈⣆⣦⠻⠘⠉⠜⠑⠀⠀⢧⣿⠘⠀⠀⠀⠀⠀⢀⠢⢉⠀⠀⠀⠀⠀⠟⣰⠀⠀⠀⠀⠇⣯⣼⡑⢾⠳⣌⣳⢰⡇⣝⢫⡱⢷⣋⡲⣝⢾⣝⣿⢞⣭⡻⢷⡘⠳⢊⡱⡝⢎⡱⠽⣣⣜⡿ ⠏⡩⢿⣽⣾⢯⣏⣷⣿⣿⣳⣿⣵⡹⢮⡱⡿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣠⠁⡰⠘⠥⡈⡑⠤⠙⡀⣦⣿⣸⣑⢦⠻⡌⣘⡎⢉⠩⠉⠉⠉⠉⠁⠈⣤⠳⠚⠓⡼⢀⠀⠀⠀⠀⠀⣼⡟⣸⡑⢾⢉⣦⡷⢹⡉⢯⡹⡽⡫⠖⣭⠖⣯⡞⣏⣿⢓⣯⣺⡝⢫⢧⣩⠶⣎⣙⡱⢹⣽⡿ ⢏⡿⢯⣵⡞⢏⣻⣿⣿⣷⣿⣾⣩⠶⣝⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠃⠐⠡⠂⠄⢷⡙⠄⠠⡐⠒⡄⠈⣦⠻⡄⣷⠙⠢⣄⢻⢻⠻⡇⣬⣶⣈⣆⡀⣀⣀⣀⣀⣀⣀⣀⠤⠠⠒⠁⠀⠀⢺⣷⡌⡑⢾⡂⢍⡠⢿⣇⡻⣧⠽⢫⣱⢞⣣⢖⣻⢟⣿⢻⣾⢷⡿⠶⢶⡤⣤⣤⣠⣀⡀⣀⠀ ⣯⡵⢏⡱⡿⣿⣿⣿⣳⣿⣼⡳⣙⢶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠠⢀⠁⠀⠀⢀⠀⠀⠀⡀⣤⠶⡓⠘⢩⡌⠉⡭⣮⠛⣎⠻⢈⡜⣿⣾⠁⠀⠘⡄⠳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠙⣏⡖⡝⡈⡷⢌⠣⢆⣇⠱⣯⠺⣎⣏⣰⣤⣤⣤⣧⡷⣼⣀⠀⡋⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢏⣼⢫⣿⣿⣿⣿⣿⣾⣲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠊⡠⠁⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⡈⢀⣀⠀⠀⢀⣄⡤⣤⣧⢠⡄⠑⢍⡑⠑⡉⣏⠹⠀⠀⠀⠀⠀⠀⠀⠀⠄⠳⠀⣆⣯⣻⢿⡌⡘⢷⢃⡱⣏⡰⡟⢴⢹⣾⠀⠀⠀⠁⡵⣞⠀⠀⠀⡷⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢲⡖⣷⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠁⠕⠪⣟⡷⣯⣳⣿⣷⠹⠙⠀⠢⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⡀⣿⣷⠹⣉⣊⠄⢤⠑⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣾⡷⠻⣉⡤⠹⠱⣧⡱⣼⣏⡇⢸⠀⠀⠀⡁⡷⢠⠀⠀⠎⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠣⣾⣟⣩⡶⢛⣥⠺⣳⣧⣿⠛⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡴⢀⠀⠄⠨⠇⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠁⠚⢳⣽⣢⣠⠀⠀⠀⡠⢺⠀⠀⠀⠀⠀⠀⠂⠷⡙⣋⣌⡜⣷⠓⢡⣦⡙⡷⡏⣚⠱⣿⢸⠀⠀⠀⡽⡼⠀⠀⠃⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⠿⡿⣿⣿⣟⣿⢮⢳⣓⢭⡳⢦⡝⢫⢴⣺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⣐⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡆⢘⠀⠀⠀⠀⠀⠀⡼⠌⠀⠀⠁⠂⠠⢁⠋⠿⣾⣳⢀⠀⣆⡙⣳⣣⠰⣼⡟⡟⣌⠹⣿⠀⠀⠀⠀⢻⢰⠀⠀⡜⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣏⡱⢯⡒⢹⣥⠦⣙⡶⢏⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠰⠀⠀⠀⠀⠀⡇⡄⠈⠀⠀⠀⠀⠀⡄⠸⠀⠀⠄⢮⠈⠀⠇⠷⠮⠺⢀⠧⠤⡦⠟⡶⣾⣱⣆⠈⢃⣴⠀⠃⠀⣆⣽⣳⣿⡘⣷⡟⢎⢸⣿⠸⠀⠀⠇⣏⠀⠆⠁⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡿⣹⣿⣿⣿⣱⣿⡿⢷⣹⣿⣿⢿⡶⠹⣶⡏⡰⢿⡰⢿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠁⠏⠶⣹⠀⣆⠸⠀⠀⠀⠀⠀⣷⠇⠀⠀⠀⡶⠇⡸⣿⣾⢀⠀⠀⢶⠎⣆⠹⢆⡰⠸⢁⡰⠀⠁⢀⠀⠀⣇⠀⣷⣿⠸⣾⢾⡸⣿⢿⠀⠀⡿⣸⠀⠀⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠋⡟⣿⣿⣿⣿⣿⣳⣞⢮⣙⡶⣹⢷⣯⣿⣿⡝⢮⡱⣜⡹⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡬⠀⠉⠗⣭⣻⣽⣶⣿⢸⡀⠻⠀⠀⠀⠀⠀⡊⣠⣇⣰⠈⠂⠄⣋⣿⣾⠠⠟⠀⠟⢠⠀⣀⢤⢤⡠⢀⠀⠞⢠⠀⠀⠀⡆⢸⡀⣿⣿⣿⢿⢢⣿⡎⠾⡵⢺⢸⠀⠀⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⡿⣿⣿⣿⣟⣶⣏⣽⢎⢧⡜⢫⣱⣻⢮⣗⣯⣿⣿⣿⡶⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡜⠁⠟⣝⡿⣞⢭⡲⣝⡮⢱⠉⣿⢻⠀⠀⠀⠎⠀⠀⡄⣹⠋⠟⡿⣠⢆⢀⠆⣀⠘⣇⢸⠀⠀⠀⠀⠋⠔⣠⠀⠀⠀⠀⠀⠀⢠⢃⡇⣿⣿⡿⢹⣿⠍⣌⡲⢆⢸⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡃⣿⣽⣻⢷⡾⣯⣕⠮⣍⢲⡱⢌⡫⡕⣮⢷⣿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠋⣯⣽⡿⣣⠼⣛⢧⡹⢝⣦⡙⣿⢰⠀⠁⡰⠀⠀⠀⡀⡄⣿⢟⢠⠀⢸⠁⢠⠀⢇⣀⢷⠈⠄⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀⡧⣿⣿⣿⠍⠩⡌⣌⣑⣤⢣⠈⠀⠼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⣻⣽⡾⢷⢧⣜⡻⢥⣘⡱⠫⢇⢬⡳⢟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⡿⣿⣟⣿⣿⢻⡴⡞⢳⡛⣏⣜⡟⣰⠀⠁⠠⠀⠀⠀⠀⠀⠀⡀⣷⠈⠀⢻⡇⠀⠀⠀⠈⠾⣦⠫⠈⠀⠀⠀⠀⠀⠀⠀⠀⠜⢌⠀⠀⡿⣯⡿⣿⢠⠀⡀⢄⠶⡉⠠⢔⠘⡼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣏⡾⣟⣭⣻⡷⢏⣹⡼⠻⢭⢫⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣽⡿⣯⣟⣾⣿⣿⣿⡝⢮⠳⣬⡟⣼⠀⠀⡘⠀⠀⠀⠀⠀⡇⡀⠡⡀⢻⠀⣸⡜⠈⠀⠀⠼⢨⠂⡀⢄⢒⠩⠈⠀⠀⠀⠊⡡⠐⢀⠀⡿⣹⢿⣿⣰⠀⠀⠀⠀⠀⡀⢦⡉⡆⢁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⣿⢯⣷⡞⣻⢯⡷⣏⠿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⢿⣾⣯⣖⢻⣧⣛⣧⣿⡿⣟⢿⣿⣴⠀⠉⠉⢩⠀⠀⠀⠀⠡⠆⠈⠀⢂⡌⠘⠆⡀⢓⠀⠀⣸⢂⠀⠑⠠⠀⠀⡀⣀⠀⣀⣀⠀⠀⠁⡿⣯⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⡉⣂⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣷⣟⣻⣿⢿⣾⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣾⣿⡿⣴⣛⢧⣜⡯⡔⢫⢬⣛⣷⣿⢀⠀⠀⠀⢀⠢⢊⠈⠀⠀⠀⢌⢕⠈⠀⡀⡦⠙⢂⡀⢢⠀⠐⠀⢸⠀⠀⢊⠀⠀⠀⠀⠀⠀⠀⠈⡏⣿⣴⣠⠀⠀⠀⠀⠋⠓⠴⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣿⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣷⣽⣾⢛⣭⡳⢣⡵⢎⡡⠖⣍⠲⣿⢠⠀⠀⠀⠀⠀⠀⡀⡄⠀⠀⠀⢂⠀⡀⠠⠐⠀⠀⠀⢕⠈⠀⡀⣀⠀⠀⠀⠀⠕⠀⠀⠀⠁⠂⡠⠁⣳⣄⢷⠘⠀⠀⠀⠏⢼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣷⣸⣿⠷⣏⡣⢵⡫⢄⡹⢲⣜⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⢂⠈⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⡡⠀⠁⠀⠀⠃⡶⠒⠴⠤⣀⠤⠒⡖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣻⣿⣿⣦⣛⣽⢮⡱⢮⡱⠳⣌⠳⣭⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣽⣿⢯⣷⣯⣹⡽⢞⣫⢕⣫⠵⣎⢣⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠁⠀⢀⠢⠐⠉⠀⠀⠀⠁⠈⠀⠀⠀⠀⠉⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣶⣿⡿⢯⣳⣞⡿⣏⡳⢮⡳⣟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠤⠀⠀⠀⠤⠰⣠⠈⠒⠤⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠛⠛⠛⠛⠛⠛⠿⡇⠻⡟⠛⠛⡛⠛⠻⠛⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⠛⠛⠛⠛⠛⣳⣿⣿⣿⠟⠛⠛⠛⠛⢿⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⢀ ⠀⠀⠀⠘⠀⠀⠐⡇⠐⠃⠁⠀⣷⡆⠐⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡀⣤⠤⢼⣾⣿⣿⣿⠋⠀⣢⣤⣰⣤⣸⣷⣮⡶⠶⠆⠀⠀⠂⠐⠂⠀⠾⠀⠀⠀⠀⠀⠀⢀ ⣤⣤⣤⣤⣦⣮⣤⡧⣬⣭⣭⣤⣭⣭⣬⣬⣭⣬⣭⣤⣤⣤⣭⣤⣤⣤⣤⣼⣿⣿⣿⠿⣿⣿⡿⠛⠿⢿⣿⣽⡟⠛⠫⣍⣹⢿⣉⢻⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠ ⠟⡟⢿⢉⣿⡿⣿⣿⡟⠙⣿⠋⢹⡏⠉⠉⣿⣿⣿⣿⣿⠋⠙⢿⠋⣩⠏⣰⡿⠋⣀⢠⡿⠙⠀⠀⠀⣄⠀⠙⢿⡶⣆⢸⡴⣫⠟⢹⡇⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣴ ⠄⡀⣬⢈⣿⡏⣿⣿⣇⠀⣿⡀⢘⣇⠀⠀⣹⣿⣿⣿⣿⣀⣀⣶⣐⠋⣰⠿⠓⣰⢫⣿⡃⣶⡀⢠⢰⡺⣷⣤⡸⢷⣤⣾⣡⣀⣀⣸⣿⠀⠧⠿⣿⣿⠋⠋⠙⣿⣿⣿⣿⡏⠙⣿⣿ ⣷⣥⣿⣶⣿⣷⣾⣷⣿⣶⣾⣷⣦⣽⣶⣶⣶⣶⣶⣶⣶⣴⡿⠉⣿⣶⢏⣀⣼⢣⡿⣿⣧⣿⣿⣾⣇⠳⠰⢈⣿⣶⣽⣿⣿⣿⣿⡿⡇⠀⠀⠀⢸⣿⠀⠀⢠⣿⣿⣿⣿⡇⡄⠈⢿ ⢿⣟⡿⡿⢿⣿⢿⣧⣿⣿⡇⢸⣿⣿⣿⣿⡛⠀⠀⠀⠁⠈⡿⣿⣿⢿⣿⡇⣿⣿⠁⢿⣿⣿⠹⣟⢿⣷⣶⣞⣼⠀⢸⣿⣿⣿⠟⢁⡇⠀⢸⠰⠀⠸⠀⠀⠀⣿⣿⣿⣿⡇⡇⠀⠈ ⡶⠿⠇⠠⡼⣿⣸⣿⣿⣿⡇⣸⠿⢿⢿⣿⠛⡆⠀⠀⠧⠠⠶⣿⡟⣿⣿⣧⣿⣰⡾⣷⣿⡿⠆⠘⠳⢾⣿⣿⣿⣄⣾⠟⠉⠁⠀⠀⡇⠀⢸⢠⢆⣀⠀⠀⠀⣿⣿⣿⣿⠇⡇⠀⠀ ⣿⠿⣿⡿⣿⡿⠿⣯⣿⣿⠿⠿⣿⡿⣿⠿⢿⢿⣿⣿⡿⠛⠛⣿⢇⣿⢻⣿⣟⠙⠇⢻⣿⠁⠀⠀⠀⠈⣿⣏⣿⣿⠏⠀⠀⠀⠀⠀⡇⠀⣸⣀⣸⣟⣀⣀⣬⣿⣿⣿⣿⣥⡇⠀⠀ ⡐⠀⠀⠛⣟⣷⣾⢻⣿⠉⠀⢀⠈⠄⡿⠀⢸⢿⡇⢻⡇⠀⢠⣿⣼⠟⣆⣿⣿⣗⠀⠈⠉⠀⠀⠀⠠⠀⠉⣽⣿⣷⠶⠶⢦⣤⣶⣞⡇⢰⣦⣉⣉⣁⣀⣶⣾⣿⣿⣽⣿⣤⣥⡀⣀ ⣗⣒⣂⣀⣟⣛⣋⣽⣟⣐⣦⣘⣂⣀⣛⣻⣛⣘⣋⣝⣃⣀⣾⣿⡟⠀⣿⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⠀⠀⡆⢴⡖⢸⡇⢸⡿⡟⢻⣿⡿⢻⣿⣿⣿⢿⡟⢿⣿⣿⠙ ⠿⠿⣿⡿⢿⢿⣿⣿⡿⠿⣿⡿⣿⠿⣿⣿⡿⢿⣿⠿⣿⣿⡿⣿⠁⢠⣿⡏⣿⣿⡦⣄⡀⠀⠀⠀⠀⣠⡾⣿⣿⣿⡇⠃⣇⢰⡦⢸⡇⢘⡇⢲⢶⣿⡇⢸⣿⣿⣿⠀⢴⢸⡿⣿⢀ ⠀⠀⣻⡇⢈⣀⣽⣿⣿⢸⣧⣿⣿⡀⣤⣿⣿⣿⣿⢰⣿⡿⢀⠃⠀⣾⣿⣇⡿⢁⠓⡦⣉⠓⣦⣴⣿⡟⢱⣿⣻⣿⣏⠳⣇⣺⠶⢸⡇⢸⡇⢸⣸⣿⣷⢸⣿⣿⣿⠀⢸⢸⣧⣿⠰ ⣆⣒⣿⣠⣶⣶⣿⣿⣿⣦⣿⣧⣿⣯⣿⣟⣣⣭⣼⣼⡿⠀⣈⣤⣼⣿⣿⡾⠛⢦⡙⣿⣿⣿⣿⡟⠻⣷⡿⣿⣴⣿⣿⣿⣿⣿⣾⣾⡇⢰⡇⢸⣿⣿⣿⢸⣿⣿⣿⠀⢸⠀⣇⣿⢨ ⢿⣻⣿⣿⣿⣽⣿⣿⣿⡿⡏⠛⠻⣿⣿⣿⣿⡏⢹⣿⣡⡾⠋⠀⠀⠀⣾⠃⠠⠤⣽⣿⣛⠉⢙⣧⠤⡿⠁⠀⠙⢷⡈⠉⠙⢻⣿⣿⡇⢨⣷⠼⠿⣿⣿⠼⡿⠿⣿⠠⠼⠠⣿⣿⣿ ⣿⣩⣿⢻⣿⣿⣿⣿⣿⣀⡶⢾⠀⣿⣿⣿⣿⡇⣼⣿⡏⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠰⠁⠀⠀⠀⠈⣿⠀⠀⠀⠈⢹⡇⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿ ⣿⣾⣷⣶⣷⣾⣿⡾⣿⣷⣷⣿⣾⣿⣶⣿⣷⡿⣿⣿⠁⠀⠀⠀⠈⠁⢠⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢲⠀⣿⠀⠀⠀⠀⠀⡇⢰⠛⠻⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠿⢿ ⠆⣾⢸⢠⡌⡷⣿⣇⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠏⡟⠀⠀⠀⠀⠀⢠⠇⠀⢀⣠⢤⣀⠀⠈⠳⡀⠀⠀⠀⣠⣶⣿⣇⠀⠀⠀⠀⠀⡇⢸⠀⠀⡛⠀⠈⣻⡇⠙⣿⡉⠛⣿⠁⠀⠀ ⣤⣿⣿⠀⡀⠠⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⡇⠀⠀⠀⠀⠀⠏⢀⣴⣿⡇⣾⣿⣿⣶⣤⣘⢀⣠⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⡇⢸⠀⠀⡇⠀⠀⣿⡇⢸⣿⡀⠀⣿⠀⠀⠀ ⢿⡿⣿⠾⣷⡿⢿⣿⣿⡿⣿⡿⢿⣿⣿⣿⡟⠀⠀⡇⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣽⣿⣿⣿⣿⡇⠀⠀⠀⡇⢸⠀⠀⡇⠀⠀⣿⠀⢸⣿⠁⠀⣿⡄⠀⠀ ⢸⡇⠿⢸⣿⡷⣾⣿⣿⡇⣿⣄⣸⣿⣿⡿⠀⠀⣼⡇⠀⠀⠀⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⡇⢸⠀⠀⣇⠀⠀⣿⠀⢸⣿⠀⠀⣿⡇⠀⠀ ⠾⠷⠟⠸⠟⠛⠛⠛⠟⠛⠻⠟⠿⣿⣿⡇⠀⠀⣿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⡇⠸⣆⣀⣽⣤⣤⣿⣄⣸⣿⣤⣤⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⠀⠀⢰⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢉⡟⠀⠀⠀⠀⠀⡇⠀⣿⢿⣾⠾⢿⣷⣿⣿⣿⣿⣷⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⡇⠀⠸⣿⠀⠀⠀⠀⣾⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⡇⠘⣿⣾⣷⠀⠀⠀⠘⢸⣿⠛⣟⣟⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⣧⠀⢈⡏⠀⠀⠀⣰⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⡇⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⢸⠀⠀⠀⢸⣿⠂⣷⠏⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠘⢷⣸⡇⠀⠀⣰⠛⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⢸⠀⠀⠀⢸⣿⠀⡿⡀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢧⠀⠀⡇⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣼⠃⠀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣸⣴⢰⠀⢸⣿⢀⣇⡇⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠇⠀⠀⣸⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⡇⢠⣭⣿⣿⣿⣯⣯⣿⣭⣽⣿⣿⣯⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⣰⠏⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡆⠀⠀⠀⠀⠀⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠏⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢻⡀⠀⠀⠀⠀⡇⠀⣿⣿⣿⣿⠈⢻⣦⣿⡿⣿⡟⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠘⣷⠀⠀⠘⢸⡇⠀⣿⣯⢽⣿⠀⢸⣿⣿⣷⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⡆⠠⠄⠸⡇⠀⣿⡟⢸⣿⠀⢸⣿⣿⣿⣿⠛⠻⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇⠀⣿⣇⢸⣿⠀⢿⣽⢿⠻⣿⠀⠀⣿⠀⠀

⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢶⣦⡀⠀⠈⠂⢄⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢩⣿⣷⣷⣢⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠷⡻⣿⣿⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣇⡀⢛⣿⣿⣿⡄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣪⢲⠈⠙⠟⣾⡀⠀⠀⢰⠁⠀⠑⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⣸⣣⠀⢸⡘⢿⡐⠈⢈⢒⠀⠀⠀⢸⡆⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⡘⢠⠉⠑⠃⠘⡅⢻⢧⡀⠀⠈⠈⠐⠢⢀⡧⠤⠤⣤⣀⣭⠐⣢ ⠘⠓⠣⠘⠳⠀⠔⢀⣱⣼⣿⣿⣆⠴⠑⠠⠄⠸⠓⠒⠁⠚⠁⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠰⣻⠯⠽⠟⠥⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢁⣴⣶⣶⣤⣀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣠⣶⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⣽⣃⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠈⢻⣦⠀⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⣰⠇⣸⡟⠙⢻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⢀⣿⣷⡀⠘⢆⠀⠀⠀⠀ ⠀⠀⣰⠃⣴⡏⢀⣿⠁⠀⠀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠋⢸⡇⠀⣿⣿⣷⡀⠀⠳⡀⠀⠀ ⠀⢠⠏⣴⡿⠀⣾⡏⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣤⣤⣤⣤⣾⣿⣿⣿⠋⠀⠀⠈⣇⠀⠘⣿⣿⣷⡀⠀⠹⡄⠀ ⠀⣿⠏⢸⣗⣼⡿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣷⣄⠀⠀⠀⢹⡀⠀⠻⣿⣿⣷⡀⠀⠸⡀ ⢸⠇⣶⣾⣿⣿⠃⠀⠀⠀⠀⠀⣤⣼⣟⢋⡬⣽⡟⣟⡛⢿⢿⡛⠻⡿⠿⣿⣦⠀⠀⠈⣧⠀⠀⢻⣿⣿⣿⡄⠀⢇ ⣿⣶⣾⣿⣿⠃⠀⠀⠀⠀⢀⣞⡟⣯⣴⣾⣿⠃⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠸⣇⠀⢉⣽⣿⣿⣿⡄⠈ ⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⡼⣞⣾⢿⣿⣿⡏⠀⣿⣿⡏⣿⣿⢻⣿⣿⣿⣿⣿⣿⡇⠀⢀⡙⣆⠀⠠⣾⣿⣿⣷⠀ ⠹⠿⠿⠋⠀⠀⠀⠀⠀⢰⡿⣹⡏⡿⣽⡿⠀⠀⠈⣟⣯⢿⣿⠀⠛⠿⣿⣿⣿⣿⣿⡀⠀⠀⠘⢷⣄⣨⣿⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠃⣿⣿⣇⣿⣡⣴⣶⠐⠭⣿⡇⡟⣿⣿⠟⢾⡏⢿⣿⣿⣿⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⡿⣿⣿⣿⠁⠛⠛⠀⠟⠿⣹⠁⠀⠁⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⣿⣿⣿⣏⠀⠀⠀⠀⠀⠇⠀⠀⠀⣣⢿⣯⢾⣿⡿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢠⢿⣿⣿⣾⡀⠀⠀⠈⠉⠀⠀⠀⠀⣠⡿⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠘⣿⣿⣿⣦⣄⣀⠀⠀⣀⡴⠞⣿⣁⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣬⣿⣿⣿⣿⣿⣿⡛⠋⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣿⣿⣿⠿⢿⢿⢻⣅⠈⠳⠤⣀⡀⠾⣿⡛⣿⣟⡿⠿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⡟⠉⠀⠀⠈⢿⣾⣧⣷⡀⢰⣾⣽⣷⣿⣿⠟⣿⡏⠁⠈⢻⣷⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣿⠁⠀⠀⠀⠀⠈⢹⡿⣏⡌⠄⢻⡏⠀⠏⠋⠀⠞⣫⡃⠀⠈⣿⣯⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⢠⡀⢊⡾⠆⠄⠂⠀⠀⠀⠀⠀⠀⡳⡡⢧⡀⣿⣿⣾⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣿⣿⠀⠀⠀⠀⠀⢰⠁⠀⢺⣲⡓⡀⠀⠀⢄⠀⠀⠀⠕⣖⡇⢈⣼⣿⡜⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⡀⠀⠀⠀⠀⠘⠀⢀⡼⣿⡿⢭⡂⠀⠀⠳⡀⠀⠁⣸⣿⣋⠈⣿⣿⠹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⠻⡇⠀⠀⠀⠀⠀⠀⣼⠀⢛⣧⠅⡏⠳⣦⡀⢃⠀⣰⣟⠻⡆⠀⣼⣿⣧⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⢻⡏⢸⣷⠀⠀⠀⠀⠀⣸⡇⠀⠀⠻⢿⡅⠀⣶⣿⣶⣴⣿⣤⣽⣾⣾⣿⣿⡟⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡆⠸⣧⣼⢹⡆⠀⠀⠀⠀⣿⣿⣦⣤⣸⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⢻⡏⣼⣷⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡇⠘⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢰⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡿⣧⣿⣹⡇⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⡾⢣⣿⣿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⡇⣿⠇⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠾⠛⠁⢠⡿⡿⣿⠇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⡇⠋⠀⡯⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠔⠋⣼⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⡇⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⢀⣠⡴⣻⣿⣿⣿⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⠁⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠋⠉⠉⠙⢿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠁⠀⢰⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠊⠀⠀⠀⠠⠀⠀⠈⢻⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣟⣾⠷⣄⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⡀⠀⠀⠠⠈⠀⠀⠀⠀⠈⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⠟⠁⠀⠙⡆⠀⡇⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠻⠙⠀⠉⠈⠀⠀⠀⠀⠀ ⠀⠀⠁⠛⠖⠴⣤⢈⣿⣴⣬⣶⢸⠀⠀⠀⠀⠀ ⠀⠀⠁⠋⠟⡿⣿⢻⠿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⠈⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀ ⠀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⢀⡀⣿⣿⢠⠀⠀⠀ ⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣶⣠⢀⠀⠀⠀⠀ ⠀⠀⠟⣿⣿⣸⣷⣿⣛⢙⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣿⣿⣿⢸⡀⣦⣿⣿⣿⠿⠙⠀⠀⠀⠀⠀ ⠇⣿⣿⣿⣿⢰⠀⠀⣄⣷⣿⣿⣿⢿⠙⠀⠀⠀ ⡇⣿⣿⣿⣾⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⢻⠀⠀ ⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⢻⠀ ⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⠸ ⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠐⠒⡄⠀⠀⠀⠀⣜⣶⠬⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢍⡺⣄⡀⠤⠴⣻⢣⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠤⠄⣀⣀⣀⡠⢤⡇⢣⠃⣀⣠⡆⠈⣇⢎⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣎⠔⠈⢀⡊⠐⠂⢸⡄⣧⡆⣞⠁⢿⣿⠸⡾⡅⡰⠉⠀⠯⠉⠁⢐⣄⠀⠀ ⢠⠮⠄⡤⠔⠋⠁⠀⢀⡼⡿⢨⣭⣇⡀⠀⡸⢠⠗⣞⣷⠀⣀⠀⠈⠢⣀⠈⢆⠀ ⠀⠑⢦⣄⠀⣀⡠⠴⠋⠀⣻⠤⡿⡁⠿⠿⠳⠃⢠⠁⠩⡢⣀⠀⠀⠀⠈⠑⠺⡄ ⠀⠀⠀⠉⠛⠻⢦⠬⠄⢚⠿⠀⠈⠱⢀⡀⣀⡀⠁⠀⣠⠣⠈⠑⠲⡤⢄⠀⢠⠆ ⠀⠀⠀⠀⠀⠀⠸⡀⠈⣼⠶⠂⠀⠀⢙⡿⠓⠊⠀⢈⢻⠒⠥⣠⡥⠧⠤⠒⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠡⣸⠃⠀⠀⠀⠀⠀⡏⠁⠀⠀⠈⡙⡄⠀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡦⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠐⣼⡴⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⣀⣴⠀⠀⠀⢸⠄⠀⠀⣰⣄⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⢿⣿⣄⠀⠀⠘⠀⣠⣾⣿⣿⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⣿⣷⣶⣷⣿⣿⣿⣿⠿⢻⣢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⠿⠃⢀⠹⣿⣿⣿⣿⣿⣿⠻⠀⠈⠙⠾⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠹⣿⣿⣿⣿⣃⡴⠃⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡅⠀⠀⡰⠃⠀⠀⠀⠀⣼⣠⠆⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠄⢀⡼⠁⠀⠀⠀⠀⣲⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣧⣸⡇⠀⠀⠀⠀⢀⡏⣀⠀⠀⠀⠀⠀⠀⡇⠀⣠⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣧⠀⠀⠀⣠⣾⣿⣿⣶⡀⠀⠀⠀⢰⣇⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⣿⣿⣿⣿⣿⣿⣷⣦⣷⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡕⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡳⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣆⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡌⡿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣧⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⠁⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢡⣿⣿⣿⣿⣿⣿⣿⢰⡟⣿⣿⣷⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⡟⣿⣷⣰⠁⢙⡄⣷⣿⣿⣽⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣾⣶⣶⣤⣩⢔⢀⠄⣶⣶⢰⠀⢤⣑⣌⣤⣧⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠊⠈⣅⣿⣷⢿⠗⠶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣥⣰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡰⠿⡖⣦⢘⠀⠥⣭⣮⢾⠱⠚⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠣⡽⠍⠀⡄⠺⡉⠶⡲⢯⡰⠀⠀⠀⠀⠀⠀⠀⠀⣆⠋⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠏⣿⣿⣿⢻⡠⠀⠀⣄⣿⣠⠀⠀⠀⠀⠂⠶⠒⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⣿⣿⣿⣿⢠⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠁⠋⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡇⠉⠉⠈⠀⠀⠀⠀⠀⠀⠁⡑⠟⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⣿⣿⣿⣿⢻⠈⠀⠀⠀⠃⣰⣇⣿⠻⠈⠀⠀⠀⠀⠁⣏⡇⣿⣿⣿⣿⣿⣿⠸⠎⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⠻⠈⠁⣮⠍⣿⣿⣿⣰⠠⠀⠀⠄⣠⣀⣦⣿⣿⣿⣿⣿⣶⣤⢗⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⡿⢹⢸⣯⣿⣼⠀⠐⠀⠀⠀⠀⠄⠀⣟⣿⣼⣇⢀⡕⢨⠓⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⠔⡸⣛⢆⠂⠉⠋⡿⣿⣼⠀⠉⣯⣏⠙⠚⣖⠲⠒⠒⠒⠓⠛⠉⠉⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣷⣿⣿⣿⣿⣿⣿⡛⡷⢽⠿⢲⡘⠯⡿⣼⣷⣌⣶⢲⡤⣤⣤⢀⠂⠒⠉⠈⠀⡉⣎⣀⡕⣻⢶ ⠁⠁⠉⠉⠉⠋⠃⠈⠀⠀⣄⣤⣶⣿⣿⣿⣿⣿⣶⢭⣾⠗⣾⣷⢿⠸⡟⠶⠶⣣⣛⣽⣋⣿⣼⣤⠒⠈⠀⡀⣇⣤⡀⢀⠀ ⠃⣿⡇⣶⢶⣶⢦⢰⠀⠆⠈⠀⠀⣷⣿⣿⣿⢵⣊⠔⣬⡵⠈⡄⣿⣿⡇⣦⣀⠀⠀⠀⠀⠀⠀⣦⢻⠙⠉⠈⡟⠀⠀⠀⠀ ⠀⠂⠛⠃⠛⠓⠞⠀⠀⠀⣜⣠⠀⣧⣿⣿⣿⣔⠀⡂⡯⠀⡀⠣⣿⣿⡜⡷⠙⠱⠎⠈⢱⠥⠿⣿⣿⣿⣿⢿⡟⠘⠀⠀⠀ ⠀⠀⣲⡄⣤⡤⣄⠀⠀⠀⢀⠀⠃⣿⣿⣿⢿⠙⠛⠉⠈⠻⠁⣀⣷⣿⢸⠀⣀⡤⢠⣠⠤⡠⣇⣶⣴⣀⣀⣀⣄⢸⠀⠀⠀ ⠀⠋⠐⠿⠣⠿⢸⠿⠈⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢸⠀⠀⠀⠀⠀⠀⠀⣿⠚⠌⠼⠼⠬⠥⣿⠘⠀⠀ ⠀⡤⢧⣤⢄⢄⢀⢰⢰⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠭⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⣤⣠⣖⠷⢾⠀⠤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⡿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⢿⡿⢛⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠷⠛⠈⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠁⠛⡿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⠿⠙⠃⣿⣿⣿⣤⣦⣶⣤⣤⣿⣿⣿⠻⠿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⢨⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣷⣿⣴⢀⠀⠀⠀⠀⠀⡄⣷⣿⣾⣤⢀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠉⠑⠑⠒⠛⠓⠃⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣀⢄⣀⣀⡀⣀⡠⣤⣠

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡎⣤⣄⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣀⣀⡳⡀⠀⠀⠀⠀⠀⠀⡼⡸⡵⢏⡉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⣌⠳⣝⣄⢀⣀⠤⠤⢴⣛⣟⠇⣆⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠹⡇⢈⠞⠉⠀⠀⢠⡀⠈⠹⡖⢹⠙⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠖⠊⠒⠲⠤⣄⣀⣀⡤⢴⠒⠲⡷⠀⢉⡏⠀⢠⣀⣤⣦⣧⠀⠀⢻⡌⣄⠜⠉⢳⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠏⡠⠞⠉⠈⠉⠒⠓⠲⠤⠄⢈⣳⠀⠸⣄⣾⢡⣾⠉⠀⣽⣷⣿⠀⢸⣮⣷⠁⠀⣰⠋⠁⠀⢤⡍⠉⠉⢉⡒⠢⣄⠀⠀⠀ ⠀⣰⠳⠊⠀⠀⠀⣠⣶⠧⠀⠀⠀⠀⠬⢿⣧⡶⠿⡇⣸⠙⠇⠀⠐⠛⢻⠇⠘⣷⢨⠳⡴⡃⠀⠀⠀⠀⠈⠁⢤⡀⠈⠒⠾⢧⠀⠀ ⣾⢧⣤⣄⣤⡶⠎⠉⠁⠀⠀⠀⠀⢀⣴⢿⡿⠁⢦⣧⢸⣆⡀⠀⠀⠀⣸⠀⣸⠏⢯⡟⢹⣯⣐⣠⠀⠀⠀⠀⠀⠙⣆⡀⠀⠘⣇⠀ ⠘⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣶⠟⠁⠘⣿⡀⢀⣿⡾⠍⣿⣝⣒⣮⢇⡾⠃⠀⢹⠋⠻⡝⣄⠈⠉⠁⠀⡀⠀⠀⠀⠙⠦⣄⣸⡄ ⠀⠀⠈⠻⣒⢦⣀⣐⣶⠶⠟⢋⠀⠀⢀⣠⣾⡞⠎⢻⡹⡄⠛⠛⠛⠋⠊⠀⠀⢠⠎⠀⠀⢱⡌⠫⣲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠉⢳ ⠀⠀⠀⠀⠀⠙⠒⠒⢾⣦⣄⣈⣡⠤⠶⢿⣿⠃⠀⠀⠃⢳⡀⠀⠀⠀⠀⠀⠰⠋⠀⠀⠀⢠⠏⡄⠈⠙⠒⠶⣦⣄⣀⠀⠀⠀⢀⡰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠠⠤⠤⣀⢺⣀⣀⠀⠀⠀⠀⠩⣝⢾⣶⣞⣋⣠⠀⠀⠤⣴⣿⣄⠙⢄⡀⠀⠤⡸⡇⠈⠓⢀⣠⠞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣶⡿⠝⠛⠁⠀⠀⠀⠠⣌⣳⠚⠉⠉⠁⠀⠀⢀⠛⢿⡉⠓⠤⠤⣤⡶⠚⠓⠒⠒⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⠟⠁⠀⠀⠀⠀⠈⠓⢮⡇⠀⠀⠉⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠰⡀⢳⡀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠡⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⡧⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⣄⠀⠀⠀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢄⣶⣿⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⣴⣿⣦⠀⠀⢮⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⣿⣿⣿⡆⠀⠀⠀⠀⠀⡇⠀⠀⠀⣰⣾⣿⣿⣿⡆⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣦⡀⠀⠀⢠⡇⣀⣴⣾⣿⣿⣿⣿⣿⣷⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⣷⡹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣚⣽⡿⠀⠃⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠹⠿⣯⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠟⠉⠀⠀⢦⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢡⠀⠀⠀⠀⡘⠙⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠆⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⡟⢅⣠⡿⠂⠀⠀⠀⠀⠀⠀⣳⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣯⡶⠞⠋⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⣠⡖⠀⠀⠀⠀⠀⠀⠀⠈⣿⠇⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢴⢦⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣿⡦⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⢤⡿⢄⣀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣗⣤⠀⢐⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⣀⠀⡀⣀⣼⣧⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣔⣿⡾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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