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Butterfly Dot Art

Copy 17 butterfly dot art pieces — delicate wings in Braille dots. Tap Copy and paste into Discord, TikTok or a bio.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⠖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⢀⣤⣾⣿⣿⠟⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣹⣿⣿⣿⣇⡄⣠⣿⣿⣿⣿⠏⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⠿⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣶⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠘⠿⠿⠟⠋⠀⠃⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⡀⠀⠀⢿⣿⡿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡻⡇⢀⠈⣰⣾⣿⣿⣿⣿⡿⠋⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣭⢂⡏⠿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⡹⣾⣿⣷⣝⠛⠛⠋⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢶⣦⡄⠀⠀⠀⠀⠀⣀⡀⠈⠉⠉⠀⠀⢻⣿⣿⣿⠂⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣿⣿⣆⠀⣠⣾⣿⠟⠁⠀⠐⠀⠀⠀⠀⠉⠉⠀⣀⣀⠤⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⡟⠋⠀⠠⠒⠊⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠘⠿⠃⠀⠀⠀⢀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣤⣄⣀⣿⣧⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⠛⣿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 1
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⡀⠀⣠⠀⠀⢀⣀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⢀⡇⣠⣶⣿⡿⠟⠛⢿⣿⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣶⣦⣌⣿⣿⣿⣿⡟⢁⣀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣶⡄⠀⠀⣀⠀⣸⣿⠟⠉⠁⠉⡉⠛⢿⣿⣿⣿⡏⠀⢿⣿⠇⠀⣼⣿⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⢀⡈⢿⣿⡄⣴⣿⠇⢹⣿⣧⠀⠀⣿⣿⡇⠀⠈⣿⣿⣆⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠿⠿⢸⣿⣿⣿⣯⡤⠄⠹⣿⣷⣤⣈⠁⠀⠀⠀⣿⣿⣿⣇⢠⣶⣿⣿⣏⣀⠀⠀⠀⠀⠀⠀
⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣧⠀⣠⣼⣿⣿⣿⣿⣶⣤⡀⠈⠙⠿⢿⣿⣶⣶⡄⢻⣿⣿⣿⡄⠛⠛⠛⠿⢿⣿⣶⣄⠀⠀⠀
⣾⣿⠟⣿⣶⡄⠀⣤⡌⢛⣵⣾⣿⣿⠏⠉⣴⣮⠙⢻⣿⣆⠀⢀⣴⣿⡿⠛⠁⢸⣿⣿⣿⣷⠀⣶⡄⠀⠀⠈⠻⣿⣷⣄⠀
⢿⣿⣆⠻⠿⠃⠀⢀⣴⣿⣿⣿⣿⣯⣤⣄⣉⣁⣠⣴⣿⡟⢠⣿⡿⠋⠀⣴⡄⠀⣿⣿⣿⣿⡄⠀⠀⠀⣴⣶⣶⡌⢻⣿⣆
⠀⠉⠻⠿⠶⠶⣶⣿⣿⣿⡿⢿⡁⢻⣿⡿⠿⠿⠿⠛⠋⢠⣿⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⡀⠀⠈⢿⣿⣿⠇⠀⣿⣿
⠀⠀⠀⠀⠀⠸⣿⣿⣿⡏⠀⠈⠁⠈⣿⣿⠀⠀⠀⠀⠀⣼⣿⠃⣾⣿⣿⡆⠀⠀⢠⣿⣿⣿⡟⠻⣶⣤⣤⣤⣤⣴⣾⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢰⣿⣷⢀⣿⡿⠀⠀⠀⠀⠀⢿⣿⡀⠻⠿⠿⠃⢀⣴⡟⠈⠻⠿⠃⠀⠈⠙⠛⠛⠛⠛⠋⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣎⡛⢋⣼⣿⠇⠀⠀⠀⠀⠀⠘⣿⣷⣤⣤⣴⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 2
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠈⠛⠻⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀
⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣷⡤⠀⠀⠀⠹⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⠋⠀⠀⠙⠻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠃⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣦⣤⣀⠀
⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣄⠀⣾⣷⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣀⣤⣶⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣦
⠀⠀⠀⠈⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠈⠙⣧⠀⢀⣴⠿⠿⠀⣀⣴⣾⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿
⠀⠀⠀⠀⠈⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⢻⣠⡿⠁⠀⣠⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏
⠀⠀⠀⠀⢸⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⢸⡿⠁⣠⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠋⠀
⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⣼⡃⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⠟⠁⠀⠀
⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣿⣷⣶⣤⣤⣤⣀⡀⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠟⠋⠉⠁⠀⠀⠀⣰⣿⣿⣿⡅⠲⢤⣤⣀⣀⠀⠀⠀⠀⣀⣠⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⣿⠁⠀⠀⠀⠀⠀⢀⣼⠟⣿⣿⢻⡇⠀⠀⠈⠛⢿⣿⣿⠿⠿⠿⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢿⣿⣿⡄⠀⠀⠀⢀⣴⣿⠏⢠⣿⡇⢸⣷⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠈⢿⣿⣿⣶⣶⣶⣿⠟⠁⠀⠈⠛⠀⠘⣿⣆⠀⠀⠀⠀⠀⠈⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⡆⠀⠀⠀⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣠⣴⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣶⣶⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠻⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⢀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣶⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⣸⣿⣯⡛⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⢀⣿⣿⣿⣿⡆⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⣸⣿⣿⣿⣿⣇⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢠⣿⣿⣿⣿⣿⣿⣷⡄⢻⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⠀⣼⣿⡿⠛⣿⣿⣿⣿⠁⣼⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⣴⣿⣿⠁⠀⣿⣿⣿⣿⠆⣿⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠈⣿⡟⢿⡇⠀⣰⣿⣿⣿⡟⣠⣟⣤⣤⣤⣄⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠖⠶⢤⣀⠈⢧⠀⠀⠀⣿⠀⢸⠁⣴⡿⠋⢻⣿⣿⠿⠛⣉⣉⠉⢻⣿⣄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣣⡀⠀⢸⡇⠈⣸⠟⢀⣴⣿⣿⣧⣶⣿⣿⣿⣶⣿⣿⣿⡆
⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣴⣶⣦⣤⣤⣤⣤⣀⣀⠀⠀⠙⢿⣶⣼⣧⠀⣡⡶⢛⣡⡴⢿⣿⣿⣿⣿⣿⣿⡇⠈⢻⣿
⠀⠀⣀⣤⣶⣿⣿⣿⠿⠟⠛⠛⠋⠙⠛⠛⣛⣿⣿⠛⠛⠻⠿⢶⣬⣿⣿⣿⣿⣉⡀⠀⠤⠤⣾⣿⣿⣿⣿⣿⣿⠇⣠⣿⡿
⣠⣾⠿⠟⠛⣿⣁⣀⣀⣀⣠⣤⣤⣶⣾⣿⣿⠿⠿⠓⠒⠂⠀⠀⠀⣩⠿⣿⣿⣿⡟⠿⢷⣶⣿⣿⡿⠿⠛⠋⣡⣾⣿⠟⠀
⣿⣧⣀⣴⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⢀⣀⣠⣴⠖⠋⣀⡔⠁⠀⢻⡟⢿⣿⣦⠀⠈⠛⠿⣿⣿⣿⡿⠿⠛⠁⠀⠀
⠈⠛⠛⠻⠿⣿⣆⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣤⣾⠋⣰⠁⡀⢸⣧⠀⠙⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⠓⠶⣤⡀⠹⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⢿⣾⣯⣼⣧⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⣤⣤⣤⣭⣥⢾⣿⠟⣴⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢀⣾⠃⣾⣿⣿⣿⣿⣿⣿⣿⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣆⠈⢻⣿⣿⣿⣿⡿⠇⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣏⠁⠀⣀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 4
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⡿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⢿⣄⢈⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⣹⡟⠉⠻⣿⣆⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣹⣟⠻⣿⡀⠀⠘⣿⣆⠀⠀⠀⠀⢠⣿⣿⢿⣠⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⣿⣷⡀⠀⠘⣿⣆⠀⠀⢠⣿⣽⢿⣿⠁⢻⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣍⣹⡟⠉⠻⣧⠀⠀⠹⣿⡄⣰⣿⢿⣻⣾⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢷⣏⣿⠀⠀⠀⢹⡄⠀⠀⢻⣿⣿⣿⡾⠋⢻⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡀⣹⡏⠀⠀⠀⠀⡇⠀⠀⠘⣿⣾⡟⠀⠀⢸⠁⠀⣿⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣽⣍⣹⠿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠏⠀⢠⣿⠀⠀⢠⡾⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣯⣽⡉⣻⠁⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⣸⡇⠀⢀⡾⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣯⣿⠟⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⣿⡆⠀⠀⠀⢀⡿⠀⢀⡞⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⣯⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸⠀⠀⣿⡇⠀⡄⠀⣼⠃⢠⠞⠀⠀⠀⠀⠀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢿⣧⣽⡄⠀⠀⠀⠀⠀⠀⠱⡄⠀⢸⡀⢸⢀⠀⣿⡇⡼⠀⣸⠏⣰⠋⠀⠀⠀⠀⣠⠞⠉
⠀⠀⠀⠀⢀⣴⡾⣿⠿⣿⣿⣿⣿⣿⣼⣿⣦⣀⠀⠀⠑⢄⠀⠙⣆⠀⣇⢸⣸⠀⣿⣷⡟⣰⢏⡜⠁⠀⠀⣀⡴⠋⠁⠀⠀
⠀⠀⠀⢀⣿⣿⡟⢻⡿⠉⠉⠙⠛⠿⢿⣿⣿⣿⣷⣦⣀⠈⠳⣄⠸⣦⢹⣼⣿⢠⣿⣟⣴⡿⠋⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠈⢿⣿⠟⢻⣧⡀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣷⣤⡈⠣⣹⣿⣿⣿⣼⣿⣿⢟⣡⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣴⣶⡿⣿⡿⠛⠛⠛⠶⠤⢄⠀⠀⠀⠀⠤⠤⢤⣶⣽⣿⣿⣷⣾⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⣿⡿⢿⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢚⣻⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⣾⣯⣽⣧⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠊⠩⣶⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠻⣿⣧⣽⣯⣉⣿⣷⡶⠖⠋⠁⠀⠀⠀⠀⣠⣴⠟⠉⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠙⠻⣶⣿⣽⣯⠀⠀⠀⠀⣀⣤⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⡟⣿⣼⡷⣶⣶⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠿⣿⣾⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 5
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠻⣿⡀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠿⠿⠛⠛⠿⣿⣿⣶⣄⠀⠀⠀
⢀⣀⣀⠀⠀⠀⠀⠀⠈⠻⣦⡌⢿⡀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⢀⣴⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠻⣝⢿⣧⠀⠀
⣿⣉⣉⡻⣦⡀⠀⠀⠀⢸⣿⢻⡜⣇⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡎⣿⣧⠀
⠀⠉⠉⠻⣿⣷⡄⠀⠀⢸⣿⠀⣿⣿⠀⠀⠀⠀⠀⠀⢹⣇⣠⣾⠟⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠸⣿⡄
⠀⠀⠀⠀⠈⢻⣿⣀⣠⣼⣿⣤⣿⣿⡀⠀⠀⠀⠀⠀⢈⣿⡟⢡⠞⠁⣠⣤⣶⣤⣄⠀⣠⣴⠶⠶⣶⣄⠀⠀⠀⢸⡄⣿⡇
⠀⠀⠀⠀⢀⣴⠿⠛⠉⠁⠀⠀⠛⠿⠻⣷⣄⠀⠀⢠⣿⠋⣰⠋⠀⣼⠟⠁⠀⠀⠙⢿⠏⠀⠀⠀⠈⢻⡆⠀⠀⢨⡇⣿⡇
⠀⠀⠀⣰⣿⣃⠀⠀⠀⠀⣴⢟⣙⡻⣦⠈⠻⣧⣰⡿⠁⡼⠁⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⢸⠀⣿⡇
⠀⠀⢠⣿⣵⣿⡆⠀⠀⢸⣃⣿⣿⣿⣿⡇⠀⢹⣿⢁⡾⠁⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⢀⡟⢀⣿⡇
⠀⠀⢸⣿⣿⣿⡇⠀⠀⠘⣿⣿⣿⣿⣿⠁⠀⠀⣿⡾⠁⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⢀⣾⠏⠀⠀⢀⡾⠀⣸⣿⠀
⠀⠀⣾⠋⠛⠋⣖⣒⠀⠀⠈⠙⠛⠉⠉⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⣄⣴⠟⠁⠀⠀⣠⠞⠀⢠⣿⠇⠀
⠀⠀⢿⡆⠀⠀⣀⣀⣀⣀⣴⡗⠀⠀⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⣠⠞⠁⠀⣰⣿⠏⠀⠀
⠀⠀⠈⢿⣦⡀⠈⠻⣽⣿⡿⠁⠀⠀⠀⣀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠁⠀⣠⣾⡿⠁⠀⠀⠀
⠀⠀⠀⠀⠉⠛⠷⣶⣬⣭⣤⣤⣤⣶⣿⠛⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠚⠉⠀⢀⣠⣴⡿⠟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠈⢷⡀⢈⣿⣦⡤⠤⠤⠴⠖⠒⠋⠉⠁⣀⣠⣤⣶⣾⠟⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⢀⡽⣞⠁⠹⣷⡶⠶⠶⠶⠶⠾⠿⠛⠛⠋⠉⠀⠈⠙⠲⢤⣀⠉⠻⣷⣦⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡦⠴⠖⠚⠉⠀⠈⢧⡀⢙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠻⣷⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⢀⣷⡞⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠙⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⣀⣀⡤⠖⠋⠀⠹⡄⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢹⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣍⠀⠀⠀⠀⠀⠀⠹⣤⠟⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⢀⣠⠞⢻⡀⢹⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⣼⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⡚⠉⠀⠀⠀⢷⣠⣿⣄⠉⠓⠲⠤⠤⣤⣤⣤⡤⠤⠖⠋⠁⠀⢀⣼⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣤⣀⣤⠾⡇⢹⡿⢿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠷⠿⠃⠀⠈⠙⠛⠿⠿⣶⣶⣶⣶⡿⠿⠛⠋⠀⠀⠀⠀
Butterfly 6
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣯⠙⠻⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⢿⣿⣿⡇⢿⣿⣿⣿⣿⢿⣿⣿⠏⠀⣤⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣄⠈⢿⣿⣿⢸⣿⣿⣿⠃⣾⣿⠏⠀⢀⡿⠃⢀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣶⣦⣄⡈⠛⢿⣿⣿⣿⣝⣿⣆⠈⠻⣿⡸⣿⣿⠇⣼⡿⠃⠀⣠⠞⠁⠀⣸⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣝⠿⣿⣿⣿⣿⣆⠀⣿⣧⣿⢏⣼⠟⠁⣠⠞⠁⠀⣠⠞⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⡄⢹⡏⣿⠞⠁⠠⠊⠥⠴⠒⠋⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣧⣽⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣉⣉⣉⣉⣉⣉⣉⣛⣛⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⣶⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠋⠉⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣵⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⢰⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠛⢿⣿⠿⠋⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 7
⣠⣴⣶⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡀⠀⠀⠀⠀⠀⢀⡴⠟⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣶⣦⣄
⣿⣿⣿⡿⢿⡿⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⡿⢿⡿⢿⣿⣿⣿
⠘⢿⣿⣷⡾⢦⣼⡏⠈⢹⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⢳⡀⠀⢀⡞⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⡏⠁⢹⣧⡴⢷⣾⣿⡿⠃
⠀⠈⢻⣿⣷⠖⠚⠻⣶⡏⠀⠀⠈⠙⢿⣿⣷⡀⠀⠀⠀⣧⠀⣼⠀⠀⠀⢀⣼⣿⡿⠋⠁⠀⠀⢹⣶⠟⠓⠲⣾⣿⡟⠁⠀
⠀⠀⠀⢻⣿⣷⠶⠒⠲⠿⢦⣄⠀⠀⠀⠙⢿⣿⣆⠀⠀⢸⠀⡇⠀⠀⣰⣿⡿⠋⠀⠀⠀⣠⡴⠿⠖⠒⢶⣾⣿⡟⠀⠀⠀
⠀⠀⠀⠈⣿⣿⣦⣤⣤⣤⣀⣈⠻⣦⡀⠀⠀⠻⣿⣦⠀⠘⣿⠃⠀⣴⣿⠟⠀⠀⢀⣴⠟⣁⣀⣤⣤⣤⣴⣿⣿⠁⠀⠀⠀
⠀⠀⠀⠀⢸⣿⡟⠁⠀⠀⠀⠉⠙⠻⢿⣦⡀⠀⠹⣿⣇⢾⣿⡷⣸⣿⠏⠀⢀⣴⡿⠟⠋⠉⠀⠀⠀⠈⢻⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⣦⣤⣤⣤⣤⣤⣄⣀⡉⢻⣄⠀⢻⣿⣼⣿⣧⣿⡟⠀⣠⡟⢉⣀⣠⣤⣤⣤⣤⣤⣴⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣆⠀⣿⣿⣿⣿⣿⠀⣰⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠈⢿⣿⣦⣤⣤⣤⣶⣦⣤⣤⣤⣄⣀⣙⣷⣿⣿⣿⣿⣿⣾⣋⣀⣠⣤⣤⣤⣴⣶⣦⣤⣤⣴⣿⡿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⠛⠛⢛⣻⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣟⡛⠛⠛⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠋⠁⢀⣠⡴⠖⠚⠋⣉⣿⣿⣿⣿⣿⣉⠙⠓⠲⢦⣄⡀⠈⠙⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣾⣿⠻⣧⣤⣴⠟⠁⠀⠀⣠⠞⢉⣿⣿⣿⣿⣿⡉⠳⣄⠀⠀⠈⠻⣦⣤⣼⠟⣿⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⡞⠻⣿⡃⠀⠀⣠⡞⠁⢀⣾⡟⣿⣿⣿⢻⣷⡀⠈⢳⣄⠀⠀⢘⣿⠟⢳⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣾⠛⢷⣶⣾⣿⠀⠀⣼⣿⠃⣿⣿⣿⠈⣿⣧⠀⠀⣿⣷⣶⡾⠛⢷⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣶⡟⠉⣻⡿⢶⣾⣿⡟⠀⣿⣿⣿⠀⢻⣿⣷⡶⢿⣟⠉⢻⣶⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣀⣨⣿⣿⠁⠀⠸⣿⠇⠀⠈⣿⣿⣅⣀⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⡿⠃⠀⠀⠀⠉⠀⠀⠀⠘⢿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 8
⣾⣿⣿⣿⡶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢶⣾⣿⣿⣷
⢿⣿⣿⣶⡿⠻⠿⣿⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⣿⠿⠿⢿⣶⣿⣿⡿
⠈⢿⣿⣿⣿⣗⣒⣄⣹⣶⣿⡷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢾⣿⣶⣏⣤⣒⣺⣿⣿⣿⡿⠁
⠀⠈⢿⣿⣿⣅⣈⣹⣿⣟⣯⣷⣿⣿⣦⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣴⣿⣷⣾⣽⣻⣿⣏⣁⣨⣿⣿⡿⠁⠀
⠀⠀⠘⣿⣿⣯⣤⣧⣀⣉⣛⣿⠙⠛⠿⢿⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⣴⡿⠿⠛⠋⣿⣋⣉⣀⣼⣤⣿⣿⣿⠁⠀⠀
⠀⠀⠀⢻⣿⣿⣇⣈⣣⣄⠈⠙⢣⡀⠀⠀⠙⢷⡄⠀⡀⠀⠀⠀⢀⠀⢠⡾⠋⠀⠀⢀⡜⠋⠁⣠⣜⣁⣘⣿⣿⡟⠀⠀⠀
⠀⠀⠀⢸⣿⣿⣿⣁⠀⢀⣉⡰⠤⠽⣦⡀⠀⠈⢻⣦⠀⠀⠀⠀⠀⣴⡟⠁⠀⢀⣴⠯⠤⢆⣉⡀⠀⣈⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⢿⣿⣿⠋⠉⠉⠉⠀⠀⠀⠀⠈⠳⣦⣴⣿⣧⢐⣤⠂⣼⣿⣦⡴⠊⠁⠀⠀⠀⠀⠉⠉⠉⠛⣿⣿⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠛⠿⢿⣿⣶⣶⣶⣶⣤⣤⣤⣤⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣤⣤⣶⣶⣶⣶⣿⡿⠿⠛⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣤⡶⠞⠛⠛⠛⠛⠒⣠⡬⠿⢿⣿⣿⣿⣿⣿⡿⠿⢥⣄⠒⠛⠛⠛⠛⠳⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣾⣧⠾⠛⠓⠒⣈⣵⠚⠉⣀⣠⠖⣻⣿⣿⣿⣿⣿⣟⠲⣄⣀⠉⠓⣦⣀⠒⠚⠛⠿⣼⣷⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣿⣿⡿⠒⢒⡩⢽⠿⠋⠉⣡⠟⣁⡜⢩⠏⡟⣿⢻⠹⡌⢣⣈⠻⣍⠉⠙⠻⡯⢍⡒⠒⢿⣿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠸⣿⣿⡟⣋⡥⢶⣏⣤⠔⢺⣧⢾⠏⢀⠎⢰⠁⣿⠈⡆⠹⡀⠹⡷⢼⡗⠢⣤⣹⡶⢌⣙⣻⣿⣿⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢿⣿⣿⣥⠖⢋⡝⠁⢠⠏⢀⡎⠀⡞⢠⠇⠀⣿⠀⠸⣄⢳⠀⢱⡀⠹⡄⠈⢫⡉⠲⣭⣿⣿⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠻⣿⣿⣶⡟⠀⣰⠇⠀⡞⠀⡼⣠⠏⠀⠀⠀⠀⠀⠹⣇⢧⠀⢳⠀⠸⣆⠀⢻⣦⣿⣿⠟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣾⣿⣦⣼⣇⣴⣷⠋⠀⠀⠀⠀⠀⠀⠀⠙⣾⣦⣸⣧⣴⣿⣷⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 9
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⢹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣦⠀⠈⣿⣷⠿⠚⠛⢛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⢀⣼⠏⠀⣀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⣷⠙⠛⠛⢿⣀⣀⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⠶⠶⣤⣤⣄⢀⣶⠏⠀⠀⣿⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠹⣦⠀⠀⠉⠻⣿⡏⠀⢀⣴⠏⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⠷⣤⡄⠀⢸⣷⠀⠀⢹⡇⠀⠀⢠⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⣆⣀⣰⠟⠳⠶⠟⠁⠀⠀⣿⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡴⠞⠛⠛⠶⠾⢿⣶⣿⡇⠀⠀⠾⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠈⠹⣷⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠙⢶⣤⣤⡆⠀⠀⠙⣿⡶⠤⠴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⣀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⠂⠀⠀⣿⣿⣶⣶⣦⣤⣤⣤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⣿⠀⠀⠀⢠⣾⡿⠋⠉⠁⠀⠀⠀⠀⣹⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠛⠙⣿⠀⠻⢷⣴⣶⣿⠋⠀⠀⣤⡀⠀⣀⣴⠾⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠉⠻⣷⣴⣄⠀⣠⣶⡾⠋⠀⠀⢠⣿⠀⠀⠀⠀⠀⣿⡀⠀⢀⣼⡟⠛⠋⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠙⣿⣷⣿⠟⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠘⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⠀⠀⠀⠈⢿⡟⠀⠀⢀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠟⠁⠀⠀⢻⣷⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⢀⣾⣿⣦⡀⢀⣴⡟⠀⠀⠀⠀⣠⣾⠟⠛⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠶⠟⠁⠀⠉⠛⠛⠋⠀⠀⠀⠀⣰⡟⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠶⠶⠶⣦⣤⣀⣤⣄⡀⢀⣿⣿⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠈⠙⠻⢿⣿⣾⣿⡇⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠉⢻⣿⡇⠀⠀⠀⠙⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⡀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣿⠃⠀⠀⠀⠈⣿⣷⣄⡀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⢠⡿⠛⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 10
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠄⠀⠀⠸⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠤⢿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⣻⣭⡗⠒⠂⠀⠀⠀⠀⣴⣿⠟⠊⠀⠀⠤⣾⣿⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣠⡾⠟⢳⠔⠀⠀⢀⣤⣾⡟⠀⠀⢀
⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⣴⠟⠀⠀⣼⠖⠀⠀⢀⣠⣿⠇⠀⠀⠀
⣶⣿⣟⣋⣉⣙⣛⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠁⠀⠀⢠⠟⠁⢀⡾⠃⠀⠀⠀⡼⠂⠀⠀⠀⣸⣿⠀⠀⣀⡀
⠹⣿⣿⣍⣀⡀⠀⠠⠤⠄⣹⠉⠛⠛⠶⣦⣄⡀⠈⠛⠲⢄⠀⠀⠀⠈⠀⢀⡾⠁⠀⠀⣠⣾⠄⠀⠀⠀⠉⣿⡏⠀⠀⠈⠀
⠀⠈⠻⣿⣧⣄⡀⠀⠀⠀⠨⢷⡂⠀⠀⠀⠉⠛⠷⣤⡀⠀⠑⠀⠀⠀⠀⣼⣡⡶⠒⢉⠏⠠⠀⠀⠀⠀⢙⣿⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠙⣿⣦⣀⡀⠀⠀⠒⠛⠢⢄⣀⠀⠀⠀⢄⣙⣷⣄⠀⢀⡀⢰⣿⣿⣄⡴⠟⠒⠀⠀⠀⢒⣶⡿⠃⠀⠀⢠⠀⠀
⠀⠀⠀⠆⠀⠀⠹⣿⣤⣀⠀⠀⠀⠒⠒⠚⠛⢭⣉⠉⠙⣿⣿⣷⣼⣿⣾⣿⣿⣟⣥⣤⣤⣴⠶⢾⣿⣭⣄⠀⠀⠈⠙⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣤⡠⠀⠀⠀⠀⠈⠉⠙⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣉⣱⣆⠀⠀⠬⣿⣿⣆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡆⠀⠀⠉⠛⢷⣦⣴⣎⣁⣠⣤⡴⢶⠟⠋⣻⠿⣿⣿⣿⣿⣿⢧⣀⠀⠉⠲⡆⠄⠀⠀⠀⣹⣿⡷⠀⠀⠀
⠀⠀⠀⠀⢤⣴⢷⣤⡄⠀⠀⠀⠀⠈⣩⣿⠟⠁⠀⡤⢖⠞⠁⢀⡞⣇⢻⣿⠈⢧⠙⠄⠓⢌⠑⠀⠀⠀⠉⢿⣿⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠈⡏⠁⠀⠀⠀⠐⠀⠀⣿⣿⠖⠂⠀⠠⢺⡤⠴⠋⠀⢻⠀⠉⠀⠈⢷⡀⢄⠀⠀⡀⠀⢳⣶⣿⣿⡋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢸⣿⣇⣀⡤⠂⠀⠊⠀⠂⠀⠀⣸⠀⠀⠀⠀⠀⠻⣿⣦⣤⣿⣶⣾⣿⣿⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⡀⠀⠀⠀⢸⣿⣿⣇⢀⡤⠀⢀⡀⠀⣷⣿⠀⠀⠀⠀⠀⠀⡈⠛⠛⠻⠿⠟⠛⠿⣧⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠈⠉⢻⣿⣿⣿⣤⣾⣷⣶⣿⠋⠀⠀⠘⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠹⣿⣏⣿⣿⠟⠛⠀⠀⢀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢠⡿⠋⠉⠉⠀⠀⠀⠀⣸⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⠀⠀⠀⠀⠉⠩⢷⠾⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 11
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⡠⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⡽⠁⠀⣾⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⣠⣾⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⢴⡄⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠴⢊⠟⡏⠀⠀⠀⠀⠀⠀⠀
⢻⣗⠈⠙⢯⠛⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⢳⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠋⢰⠃⠀⠀⠀⠀⠀⠀⠀
⠀⢿⡆⠀⠀⠑⢤⡀⠉⠻⠶⠄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⡼⠁⢠⠞⠀⠀⠀⠀⢀⡞⠀⠐⡄⠀⠀⠀⠀⠀
⠀⠈⢿⣥⣄⣀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢸⠀⢀⡜⢁⡴⠃⠀⡀⠀⠀⣠⣾⠃⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠈⢿⡳⣍⠉⠓⠒⠀⠀⠀⠀⠀⠑⢄⠀⠀⢳⠀⠀⠀⠀⢸⠀⣾⣷⠋⠀⠀⠔⠁⠀⠀⢈⡟⠀⢀⢀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠈⢳⡀⠉⠢⣄⠀⠀⠀⠀⠐⠦⣄⠑⣄⠀⢧⠀⠀⠀⡇⣼⡿⠁⠐⡢⠂⠀⠀⠀⣠⠟⠀⠀⠀⣼⡷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⢦⣀⠈⠙⠲⠄⠀⠀⠀⠀⠙⢾⣷⡌⢧⠀⢸⢰⣿⣵⡿⠋⢀⣀⡤⠴⠚⠁⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢿⡟⠓⠂⠀⠀⠈⠉⠙⠒⢦⣝⣿⣎⢣⣇⣿⣿⣿⣿⣟⣉⣁⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣖⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠉⠙⣲⣎⠉⠀⣀⣀⢀⡖⠒⢦⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠒⣲⡾⠛⠉⠀⢈⣽⣿⣿⣿⣿⡟⠋⠛⢷⡒⠒⠂⠁⠈⣡⠞⠃⠘⣿⠀⠀⠀⠉⠱⡄⠀
⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢠⣞⡁⢀⣠⠴⣺⠟⢡⣿⠻⣿⣿⣿⡷⣤⣀⡈⠀⠀⠀⠀⢹⣆⡀⢠⣧⠴⣆⢀⡤⢼⣅⠀
⠀⠀⠀⠀⠀⠀⢠⣆⣀⣠⢠⡿⠒⠋⠉⠀⠘⣁⡴⣿⠏⠀⣿⠹⡝⠻⣌⡫⠉⠙⠢⠀⢸⡏⠈⠙⠻⣿⣿⣿⠉⠀⠀⠈⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠚⠀⠀⠀⠀⡠⠞⢙⡽⠃⠀⠀⠻⠀⠙⣆⠈⠉⠀⠀⠀⡼⠀⠙⢳⡀⠈⠙⠛⠛⢦⣤⣤⠞⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⡾⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⢀⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠿⣦⡀⠀⠀⠀⣦⠀⢸⠃⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢦⡀⠀⡿⠀⡞⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢷⠀⠀⣰⠃⣀⣤⣤⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⢸⡆⢰⣧⣾⣿⡿⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⢸⢸⢡⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠚⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠇⢀⡼⣁⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣠⡾⢿⣿⡿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡷⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠤⠤⠶⠒⠿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 12
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⢸⣿⡛⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢿⣿⣶⣄⡀⠀⣼⡿⠓⠌⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣧⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠒⠮⠙⠿⣿⣦⣿⣿⠄⠀⠈⣿⣷⡀⣤⣄⡀⠀⢀⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣀⡀⠀⠈⠛⢿⣷⣄⠐⢦⡸⣿⣿⡿⠛⠻⣷⣿⣿⣿⣿⣧⠀⠀⠀⠀⠐⠲⣼⣿⣿⣿⣶⡶
⠀⠀⣠⡀⠀⠀⠀⠀⢸⣿⡏⠉⠉⠉⠁⠀⠀⢙⢿⣷⣄⠙⣿⣿⡇⠀⣠⣼⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠈⢿⣿⣿⣯⠀
⠀⠀⠈⠀⠀⠀⠀⠀⢸⣿⣷⡦⠤⢤⣀⣀⠀⠈⠙⢿⣿⣷⡀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠁⠈⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⣄⣀⣀⣈⣉⡓⢦⣄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⡷⠀⠀⠉⠛⣿⣿⣿⠿⠿⣿⠿⢿⣿⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣼⣿⣿⡷⠀⠀⠀⠀⠀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠷⠒⠒⠀⠀⣠⢖⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡤⢶⠶⢋⣠⣶⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣶⣶⣶⠀⠀⠀⣠⣤⠾⠿⠿⣿⣾⣿⣾⠿⢻⣿⣿⣟⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠃⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⠿⣷⣤⣄⣀⣀⣀⣤⣴⠿⠛⣿⣿⣿⣿⠿⢻⣿⣿⡟⠛⠿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠷⠶⠶⣿⣿⣿⣷⣶⣶⣿⣿⣷⣦⡤⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 13
⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠛⣛⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⢸⠉⡇⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⠖⠲⢶⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⠇⢀⣀⠈⠛⠁⣀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠁⠀⢀⡤⢶⡄⢹⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡿⠀⡟⠈⢷⠀⠸⡍⣷⠀⠙⠓⢦⡀⠀⠀⠀⠀⠀⠀⣠⡶⠟⢁⣠⣄⠀⠀⣾⣠⠞⠁⢈⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡇⠀⣷⠀⢸⣦⣤⡉⢁⡤⢤⡀⠀⠹⡆⠀⠀⠀⢀⡾⠋⠀⡴⠋⠀⣽⠀⠀⢀⣀⠀⠀⢸⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡷⣶⡼⣶⢸⡇⠀⢻⠏⠐⣆⢹⢠⣶⢻⡀⠀⣴⢿⢷⠀⡼⡁⠀⣼⠏⠀⢠⠏⣹⡇⠀⣾⡁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡇⠉⣁⣹⣿⡇⠂⡞⠀⠀⠿⢸⠈⠛⣀⣹⡿⠃⠘⠛⣸⡷⣠⡾⠟⢶⡀⠘⠚⠋⠀⠀⠘⣧⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣧⣼⠋⠉⠻⣿⣆⡇⠀⠀⠀⣿⡴⠛⣹⣿⣥⠶⢶⣤⣿⣷⠋⠀⢀⣼⣧⠶⠶⢶⣄⠀⠀⠈⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠞⠙⢧⡹⣿⣇⠀⡆⣸⠟⠀⣰⡿⢋⡤⢤⠀⣿⣿⡥⢈⡴⠛⠉⠐⢈⡆⢀⡿⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢻⡇⠁⠀⠈⠃⢻⣿⢸⢠⠏⠀⣰⡟⠁⠃⠀⢸⠇⣿⣏⡴⠋⠀⠀⠀⢠⠞⣡⡾⣡⢶⡆⣰⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣷⠀⢀⠀⠀⠈⣿⣿⡏⠴⢠⡟⠀⠀⠀⠀⠙⣸⡿⡋⠒⣀⠀⠀⢀⣤⠾⠋⠀⠷⠛⠁⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⡄⠀⠀⢻⣿⢱⠀⡿⠁⡐⠁⠀⠀⣰⣿⢟⡡⠚⣁⣤⡶⠿⠟⠒⠒⠲⠶⣤⡀⠹⣦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⢣⠀⡀⢸⣿⡾⢸⠇⡼⠁⠀⠀⣰⣿⣿⣯⠶⠛⠉⠀⣀⡀⡀⠀⠀⠁⠑⣦⢹⡆⠘⢷⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣌⣆⢱⠀⣿⣇⡿⢰⠁⡀⠀⣰⣿⠟⣋⡤⠖⠒⠋⠉⠁⠀⠀⠀⠀⣠⠶⣫⡾⣃⡀⢸⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣎⡆⢹⣿⣧⡇⡼⠁⣼⣿⡿⣋⣡⣤⣤⣤⣤⣄⣀⣀⣠⣤⣴⠶⠛⢹⣯⣼⣣⠞⠁⠀⠀
⢠⠖⠋⠉⠉⠙⠛⠶⣤⣀⠀⠘⢿⣿⡜⣿⣿⣸⢁⣾⣿⣟⣯⠥⠴⠒⠀⠀⠀⠈⣹⡏⠁⠾⠿⢂⣀⡤⠶⠛⠁⠀⠀⠀⠀
⠆⠀⠀⠀⢀⣤⡤⠤⣤⣝⢃⣤⣤⣹⣿⣿⣿⠇⣾⣿⡿⠷⠶⠖⣶⣶⣶⡶⠶⠿⠟⠒⠒⠿⠿⢿⣷⡤⣤⣀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣼⡿⢟⣦⣴⣾⣿⣿⣟⣒⣒⠛⠉⠐⠒⠀⠂⠀⠀⠀⠙⡆⠈⣛⢦⡀⠀⠀
⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⠉⠉⢿⣿⣿⣿⣿⣿⣛⡛⠓⠂⠤⠀⠀⠉⠉⢛⡿⣟⣛⣛⠛⠛⠛⠻⠥⣜⠋⠀⢹⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣟⠿⣷⢶⣤⣄⣀⠀⣤⣨⠟⣧⣈⡉⠁⠀⠀⣁⡦⢹⡄⢀⡑⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣯⠳⣌⠓⠙⠻⣟⡻⢟⠿⣟⡓⠦⣍⠛⠶⣾⡭⠶⠚⠀⠘⠛⣸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡘⠳⣄⡀⢹⠛⣦⡁⠊⠙⢦⣄⠙⠀⠀⢙⢦⡀⣀⢲⣞⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⠀⠘⢿⣍⠀⡬⣿⢦⣤⡜⡟⠳⣤⣠⣬⠆⣳⠻⠷⢹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⠀⠉⠳⣿⣛⠀⠉⠉⠁⠰⣶⣯⠛⢋⣵⣶⠆⣼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠉⠛⠓⠶⠞⠛⠒⠦⠤⠬⠯⠶⠛⠁⠀
Butterfly 14
⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣽⣯⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠻⣿⡿⠿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣾⣿⣷⣿⣿⣶⣿⣷⣶⣿⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣻⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣿⣿⣿⡟⠉⠙⠳⣄⡀⣿⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⠟⠻⢦⣄⠀⠀⠙⢻⠀⠉⢻⣿⣧⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣾⣿⣷
⠀⠀⠀⠀⢸⣿⣿⣄⠀⠀⠈⠙⠲⠤⣈⣧⠀⠀⢻⣿⡼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠛⣿⣿⣿⣿⣿⣿⠋
⠀⠀⢀⣴⣶⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠙⢦⠀⠈⣿⡇⠱⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣽⣿⣿⣿⣋⣿⣿⣿⠟⠁⠀
⠀⣴⣿⣿⣿⡿⠟⠿⢟⣛⢿⣿⣷⣦⡀⠀⠈⢧⠀⢹⣿⠀⢱⠀⠀⠀⠀⢀⣠⡾⠟⠋⣹⠿⠛⣹⣿⣿⣿⡿⠋⠁⠀⠀⠀
⢸⣿⣿⡟⠛⠓⠲⠤⣄⡈⠙⢮⣻⣿⣿⣦⣀⠈⢣⡀⣿⠀⢀⣇⠤⢒⡾⠟⠉⣠⠴⠊⠉⠛⢻⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡷⠤⠤⢤⣴⠿⠛⠛⠛⠋⠉⠙⠻⣿⣿⣶⣷⣿⣷⣾⡧⢞⣩⠴⠒⠋⠙⠒⠲⢶⣶⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡇⢀⣠⠴⠛⠳⠶⣤⣤⣀⣀⣀⣀⣀⣽⣿⣿⣱⣿⣿⣿⣥⣀⣀⣀⣀⣀⡀⠀⣴⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⡏⠀⠀⣠⠴⠚⠋⠉⠀⢀⣀⣤⠶⣻⣿⣿⣿⣿⠛⠻⢿⣿⡿⠿⢿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢿⡿⣿⣿⣿⡏⠀⣀⣤⣴⠾⠟⠛⣉⣤⣾⣿⣿⣿⡟⢹⣆⠀⢸⣇⠉⠉⢻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢻⣏⣻⣿⣷⣿⠋⠉⢀⣠⣴⣿⣿⣿⣿⣿⣧⢃⡇⠀⣿⣦⣀⡏⠙⢲⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠷⠶⠛⠋⠉⢀⣿⡿⠋⢸⡟⢸⠁⢠⠇⢹⠛⢿⣤⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣼⠁⢸⠀⣸⠀⣼⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣿⣾⣿⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 15
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣦⣤⣀⣀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣧⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⡁⠀⢀⡀⠄⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢀⣠⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣷⣠⡧⠒⢁⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣤⠂⠄⣴⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣤⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⣸⣿⣇⣠⡤⠀⠀⠀⢿⣿⣿⠏⠛⠻⠿⣯⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠛⠛⠉⠈⣿⣿⣿⣿⣿⣿⠉⠁⠀⣠⣶⡆⠀⠀⠉⠙⡿⠏⠁⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠿⠋⠀⠀⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣿⣧⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣷⣶⣤⣄⡀⠀⢀⡀⠀⡇⢸⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⡤⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣦⣈⠲⣥⣸⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠈⠙⠿⢿⣿⣿⠟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⡛⠀⠈⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⣶⣤⡀⠀⢀⣠⣴⡦⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⣿⣿⣷⣤⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⣠⣶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⡄⠀⠀⠀⠸⠛⠁⠀⠈⠛⠇⠀⠀⠀⠀⠘⢷⣦⣼⣿⣷⣆⠀⠀⠀⠀⠀⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⠉⢹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 16
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⣤⠛⠛⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠛⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠛
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡁⠉⢿⣆⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣄⡀⢹⡿⢷⣦⡹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠿⣿⣿⣿⣿⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⠉⠙⠻⢿⡇⠀⠙⢿⣮⣿⣆⠀⣠⡀⠀⠀⠀⠀⢀⣠⣶⣿⣛⣯⣀⣤⣶⠾⠛⣻⣿⡿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣄⠀⠘⣿⡀⠀⠀⠙⣿⣿⡆⢹⣇⣠⡿⢣⣶⣿⡿⠟⠛⠉⠉⣽⣏⣀⣀⣴⣿⡿⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⠛⠛⠛⠻⣷⡀⠀⠀⠘⢿⣿⣸⣿⣏⣴⠿⠛⠁⠀⠀⠀⣠⣾⠛⠋⠉⣹⣿⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣤⣀⡀⠈⣻⣦⣀⠀⠀⢿⣿⣿⠟⠁⠀⠀⠀⢀⣠⣾⣿⣁⣀⣀⣰⣿⣿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣟⡛⠛⠛⠛⠷⣦⣼⣿⡃⠀⣀⣤⣴⣾⠟⠋⠀⠉⠉⢛⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠙⠛⠿⢷⣶⣤⣶⣶⣿⣿⣿⣛⡋⠉⠈⠙⠻⣶⣶⣶⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠷⠶⣦⣤⣴⡾⠋⣁⣴⣿⣿⣷⡈⠙⢻⣿⠶⠶⠿⠿⢿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣤⣤⣴⠾⣿⣴⣾⣿⡿⠙⠛⣿⣿⣷⣤⣿⡷⢶⣦⣤⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣯⣅⣤⡾⢋⣾⣿⠏⠀⠀⠀⠹⣿⣏⢿⣟⠻⣶⣄⠀⢨⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣶⡿⠟⠁⠀⠀⠀⠀⠀⠙⣿⣌⢻⣦⡈⠛⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⣸⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢶⣾⣿⣿⣯⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠶⠿⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠀⠀⠀⠀⠸⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Butterfly 17

Butterfly dot art turns delicate butterfly silhouettes into copy-paste text pictures made of Braille dots. Each piece is a full butterfly — spread wings, fine antennae, sometimes a trailing group — rendered in tiny dots that stay sharp wherever you paste. A whole picture, not the flat 🦋 emoji.

When to use Butterfly dot art

💡 Platform tip: The butterfly is one of the top y2k / soft-aesthetic motifs, so butterfly dot art fits Tumblr, TikTok and Discord bios. As plain Braille text it pastes anywhere with no upload — Copy, paste, done.

Why butterflies carry so much meaning

Few motifs are as loaded as the butterfly. Across cultures it stands for transformation, rebirth and fresh starts — the whole life of the caterpillar reimagined — which is why people reach for it after a big change, a recovery, or a new chapter. It also had a full Y2K revival: the glittery butterfly clip aesthetic came back around and now signals a nostalgic, early-2000s cool. Dropped into a bio it can read as spiritual and hopeful or as pure decoration, and that flexibility is the point — the same little shape says “I grew” to one person and “this is my vibe” to another.

Marking a change with it

Because the butterfly is tied to transformation, it works beautifully as a marker of something personal — a fresh start, a recovery, a new name or a new chapter — dropped into a bio the week everything changed. It is also seasonal shorthand for spring and renewal, so it lifts a profile as the weather turns. Pair it with flowers for a full garden feel, or let it stand alone for a cleaner, more symbolic statement. However you place it, it reads as hopeful and forward-looking, which is a rare thing for a single small mark to carry.

FAQ

Frequently Asked Questions

What is butterfly dot art?
Butterfly dot art is a multi-line text picture of a butterfly built from Braille dot characters (Unicode ⠀–⣿). Each character carries up to 8 dots, enough to render the curved wings and slim body. You copy it as plain text and paste it anywhere.
How is it different from the 🦋 emoji?
It’s a matter of size and detail. The 🦋 emoji is a single fixed glyph; a butterfly dot-art piece spreads over several lines with full open wings and antennae, and being text it stretches or shrinks to match your font instead of staying locked at emoji size.
Where does butterfly dot art look best?
It fits soft, y2k and fairy-grunge feeds — Discord bios, Tumblr, TikTok. Wherever the line breaks hold, the wings stay symmetrical; a code block (wrap it in backticks) forces the tightest alignment.
Will it show on any device?
Yes — the dots are ordinary Unicode text, so any current phone or laptop displays them with no setup at all. Wide wings can spill onto extra lines on a narrow display; rotating to landscape or using a wider field lines them back up.
What does the butterfly symbolise?
The butterfly stands for change, growth and rebirth — which is why it’s the go-to motif for glow-up, fresh-start and “new chapter” posts. A butterfly piece quietly carries that meaning without a caption.
What does a butterfly represent?
Across cultures the butterfly stands for transformation, rebirth and new beginnings — the caterpillar's whole life reimagined — so people reach for it to mark a fresh start, a recovery or a new chapter. It doubles as a nostalgic Y2K icon and a symbol of spring, which is why the same little shape can read as hopeful, spiritual or simply pretty.