Bunny ASCII Art Copy and Paste
Bunny ASCII art is a type of text-based art that features bunnies, rabbits, and cute bunny faces made using different types of keyboard characters like letters, numbers, and symbols. Choose your favorite bunny ASCII art from the list to easily copy it into the clipboard and paste it anywhere.
Select the bunny ascii art from the collection, then click on the copy button and paste them into Facebook, Instagram, Twitter text messages, posts, and bios.
Bunny ASCII Art
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠙⢦⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⢀⡼⠋⠁⠀⣙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⡰⠋⠀⢀⡴⢋⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡇⢀⡼⠁⠀⣠⠏⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⡤⠴⠾⠶⠾⠁⠀⣰⡷⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⠞⠁⢀⣀⠀⠀⠀⠀⠘⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⠃⠀⠀⠘⠛⠀⠀⠀⠀⠀⠿⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⢄⡀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠙⠛⢻⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠖⠋⠉⢷⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⡾⠀
⠀⠀⠀⠀⠀⠀⡴⠒⠛⠀⠀⡴⠒⠒⠒⠛⠃⠀⠀⠀⠀⠀⠀⣸⠧⣤⠤⠞⠁⠀
⠀⠀⠀⠀⠀⠸⣅⣀⣀⣀⣠⣇⣀⣀⣀⣀⣀⣀⣀⣀⣤⡤⠞⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣴⣶⣿⣶⣶⣄⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣶⣦⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣧⣠⣄⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀
⠀⠀⠀⣼⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣷⡀⠀⠀
⠀⠀⣼⣿⣿⣿⣿⣿⡇⠀⠀⣻⣿⣿⣿⣿⣿⣿⣟⠀⠀⢸⣿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀
⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⢿⡿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣰⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⡟⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⢻⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢻⡄⠀⠀⠀⠀⢠⡟⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠈⣷⠀⠀⠀⠀⣾⠃⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⢹⡆⠀⠀⢰⡟⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣀⡀⠘⠟⠛⠛⠻⠃⢀⣀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠈⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣰⡟⠀⢰⣶⠀⠀⠀⠀⣶⡆⠀⢻⣆⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢿⣿⣿⣇⣀⠀⠁⠀⢶⡶⠀⠈⠀⣀⣸⣿⣿⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡤⠂⠉⠉⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠉⠉⠐⢤⠀
⡌⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⢡
⢃⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⡘
⠈⢆⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⡰⠁
⠀⠈⢆⠀⠀⠀⠀⠀⠀⢱⠀⠀⣀⣀⠀⠀⣀⣀⠀⠀⡎⠀⠀⠀⠀⠀⠀⡰⠁⠀
⠀⠀⠀⢢⠀⠀⠀⠀⡠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⠢⢄⠀⠀⠀⠀⡔⠀⠀⠀
⠀⠀⠀⠀⠑⡀⡰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⢀⠊⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀
⠀⠀⠀⡇⠀⠀⡠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⣄⠀⠀⢸⠀⠀⠀
⠀⠀⠀⡇⠀⠰⣧⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⣿⠇⠀⢸⠀⠀⠀
⠀⠀⠀⡇⠀⠀⠉⠉⠁⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠈⠙⠉⠀⠀⢸⠀⠀⠀
⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀
⠀⠀⠀⠀⠙⢄⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡠⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⠒⠤⢀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠒⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠛⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⣀⣤⠾⢛⣛⣉⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⢀⣴⠟⣩⡴⠞⠛⠉⠁⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣿⣰⠟⣡⡞⠋⠀⠀⢀⣠⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣠⡶⠟⠋⠉⠁⠉⢘⣋⣀⣠⣴⠾⣋⣁⣠⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⣰⠟⠁⣠⣤⡄⠀⠀⠀⠘⡏⣩⡴⠞⠋⠉⠁⠀⠀⠀⠉⠙⠳⣦⡀⠀⠀⠀⠀
⠀⣿⠀⠀⠈⠀⠀⠀⠀⠀⢰⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀
⠀⠹⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠒⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀
⠀⠀⠉⠛⠶⠶⠶⠶⣟⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⣧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣤⡀⠸⣦⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣏⣤⠟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠼⠧⠀⢈⣿⠶⠦⠀⠤⠶⠶⢿⡋⠀⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣴⠚⠛⠛⠛⠒⠶⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⠾⠿⠶⠶⠶⠶⢤⣤⣄⣀⠈⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠳⠶⣤⣀⣽⠷⠚⠛⠛⠓⠦⣄⡀⠀⠀⠀
⠀⠀⠈⠓⠶⠶⠶⠶⠶⠶⠦⠤⣤⣤⣀⣀⣼⠏⠀⠀⠀⠀⠠⠤⣀⠈⠻⣆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡏⠀⠀⠀⠀⠀⠈⠚⠿⠇⠀ ⠈⢷⡀
⠀⠀⠀⠀⠀⣀⣤⠴⠶⠶⠶⠶⠶⠶⠶⠞⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧
⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠏
⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⣿⠛⠋⠉⠁⠀
⢰⡏⠀⠀⢀⣤⠴⠶⠶⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀
⣾⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀
⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀
⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢀⣤⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⡇⠀⠀⠀⠀⣀⣀⣤⣞⣋⣀⣀⣤⡶⠋⠉⣷⠀⠀⣿⣀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⡇⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠙⣧⠀⠸⣇⠀⠈⠉⢳⡄⠀⠀⠀⠀
⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠉⠛⠛⠛⠛⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠸⡆⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⠤⠤⠤⠤⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⡀
⣸⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣇
⣿⣿⡇⠘⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠃⢸⣿⣿
⣿⣿⡇⠀⠈⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠁⠀⢸⣿⣿
⣿⣿⡇⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀⢸⣿⣿
⣿⣿⣷⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⣾⣿⣿
⢸⣿⣿⡆⠀⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠁⠀⠀ ⢰⣿⣿⡇
⠀⣿⣿⣷⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀ ⠀⣾⣿⣿⠀
⠀⠘⣿⣿⣇⠀⠀⢸⣿⣿⡀⢀⣀⣤⣤⣤⣤ ⣀⣿⣿⡇⠀⠀ ⣸⣿⣿⠃⠀
⠀⠀⠹⣿⣿⣆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⣿⣿⠏⠀⠀
⠀⠀⠀⠙⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠋⠀⠀⠀
⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀
⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⣿⣿⣿⣿⣿⣿⡆⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⣤⣤⣄⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⢿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠻⠿⠋⠀⠀⠀ ⠀⠙⣿⣿⣿⣿⣿⣿⡇⠀
⠀⠀⠈⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⡟⠀⠀
⠀⠀⠀⠈⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣾⣿⣿⣿⣿⠏⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣶⣤⣀⣀⣀⣀⣠⣴⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠰⠈⠉⠐⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠈⠉⠑⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⢆⠀⠀⠀⠀⠀⠀⠜⢀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⢣⠈⡄⠀⠀⠀⠀⡘⢀⠆⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⢄⠀⠠⡈⡄⢱⣸⣖⠤⡀⡇⢸⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠁⢢⠈⠃⠀⠀⠈⠀⠀⠁⠐⢤⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢀⡁⠀⠀⠀⠀⢉⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢠⣏⣿⡆⠀⠀⢸⣯⣹⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠈⠻⠟⠁⠂⠀⠈⠻⠟⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠱⡀⠀⠀⠀⠂⢐⠢⠀⠀⠀⠀⢂⠎⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⡲⠒⠒⠢⠔⠒⠒⠖⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⢀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢠⡒⠖⡄⠀⠀⡠⠓⠚⡄⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⢸⣀⣀⡁⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡾⠛⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠛⢷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠈⢷⡀⠀⠀⠀⠀⢀⡾⠁⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠈⢷⡀⠀⠀⢀⡾⠁⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⣸⡷⠶⠶⢾⣇⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠁⠀⠀⠀⠀⠈⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠁⠀⠀⠀⠀⠀⠀⠈⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠘⠀⢠⡄⠀⠋⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠛⠚⠓⠛⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣀⣀⡀⢀⣀⣀⣤⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠉⠉⠉⠉⠉⠉⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⡿⣦⣼⣵⠟⠛⢷⣄⣠⡾⠛⠻⣮⣷⣴⢿⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣷⠈⠉⠁⠀⠀⠀⠉⠉⠀⠀⠀⠈⠉⠁⣾⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠶⣤⣤⣤⣤⠶⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡄⠀⠀⠀⠀⠀⠀⢀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⡈⢆⠀⠀⠀⠀⡠⢃⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⠈⢮⢆⠀⠀⢰⡡⠃⠇⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠈⡏⡀⠀⢷⠃⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡘⡀⠀⢸⠁⢸⡜⠀⠀⠇⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠱⣀⣸⣠⢀⣇⡀⡜⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠂⠁⠀⠀⠀⠀⠈⠐⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⣴⡄⠀⠀⢠⣦⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠤⢀⡇⠀⠀⠉⠁⢠⡄⠈⠉⠀⠀⢸⣀⠠⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠩⠝⠣⠀⠀⠀⠐⢐⡂⠒⠀⠀⠀⡜⠛⠭⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⠀⠀⡀⠀⠠⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣶⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣠⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠒⠒⠦⣄⠀⠀
⠀⣠⠊⠁⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⣠⠊⠁⠀⠀⠀⠀⠀⡄⠈⢣⠀
⢰⠁⢀⣾⡄⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⢸⢧⠀⠀⣇
⡏⠀⡞⢰⣷⡀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⢀⣿⠈⢧⠀⢸
⡇⢸⢁⣾⡿⠛⣄⠀⠀⠀⠀⣀⣀⠧⠤⠤⠧⣀⡀⠀⠀⠀⠀⢠⣾⣿⡀⣸⠀⡸
⠳⣈⠛⣉⡤⠊⠈⠳⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⠢⣤⠔⠁⠙⠯⠭⠥⠞⠁
⠀⠀⠈⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⠃⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡠⠎⠀⠀⠀⠀⠉⠀⠀⠺⢭⠭⠃⢀⠈⠉⠀⠀⠀⠀⠣⣄⠀⠀⠀⠀
⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⠈⢳⣤⠺⠓⣶⡎⠀⠀⠀⠀⠀⠀⢀⡸⠃⠀⠀⠀
⠀⠀⠀⠀⢇⣀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣿⣿⠁⠀⠀⠀⠀⠀⢀⣀⡗⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢣⣀⣄⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⣄⣠⠎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠢⠤⠤⠤⠤⠤⠤⠒⠓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⠁⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠈⣷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢹⡆⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠹⣧⠀⠀⠀⠀⣼⠏⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⣻⣦⣤⣤⣼⣏⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣴⠟⠋⠁⠀⠀⠈⠙⠻⣦⣴⠟⢀⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡾⠙⣷⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⣤⣤⣤⠀⠀⠀⠀⣤⣤⣤⠀⣿⠁⠀⠘⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⢀⡀⢀⡀⠀⠀⠀⠀⠹⢦⣤⡾⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⢻⡏⠁⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠰⢦⣤⡼⢧⣤⡴⠆⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣤⣀⣀⠀⠀⠀⠀⣀⣀⣤⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠈⢳⡀⠀⠀⠀⠀⢠⡟⠁⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⣧⠀⠀⠀⠀⣾⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢹⣀⣀⣀⣠⡇⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣠⠖⠋⠉⠉⠉⠉⠙⠲⣤⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠛⠁⠀⠀⠀⠀⠘⠛⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⢻⡅⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢨⡏⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣌⡻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠇⠙⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠈⢊⠀⠈⣿⣇⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠈⠁⠒⠤⣀⡱⠀⠀⠀⠀⠈⠒⠄⠀⠀⠀
⠀⠀⠀⢀⡀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠰⣯⡦⠀⠈⠆⠀⠀
⠀⠀⢺⣿⣷⡌⠀⠀⠀⠐⠒⢤⡀⠀⠀⠀⠀⠀⠘⢄⠀⠐⠒⠒⣂⢀⠀⡾⠀⠀
⠀⠀⠈⢿⣿⡇⠀⠀⠈⠑⡀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠉⠀⢂⠡⠤⠌⠋⠀⠀⠀
⠀⠀⠀⠀⠉⢣⠀⠀⠀⠀⠃⠀⢐⡇⠀⠀⠀⢢⠀⠀⢀⡠⠞⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⡀⠀⠀⠈⠒⠪⠤⠤⢤⠤⠼⠀⢘⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⠒⠒⠂⠠⠤⠖⠀⠀⠑⠈⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠤⢤⡀⠀⠀⠀⠀⠀⢠⠞⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⢠⠤⣝⢆⠀⠀⠀⢠⢃⠞⠱⡘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠈⢪⢇⠀⠀⡎⠏⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⣼⠀⠀⠈⠟⡄⢠⣷⠀⠀⠀⢇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢣⣃⠀⠀⠀⣧⢸⡏⠀⠀⠰⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⢹⠀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⡤⠞⠒⠓⠲⠴⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⣀⠀⠀⠀⣀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠛⠃⠀⡀⠉⠁⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⡤⠬⡀⠀⠀⠀⠀⠸⠟⠀⠀⠀⡧⢤⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠔⠋⠁⠀⢀⣤⡇⠀⠀⠀⠀⠉⠀⠀⠀⢰⣧⡀⠀⠈⠙⠢⡀⠀⠀⠀
⠀⠀⠀⠸⣄⠀⠀⠀⠘⠻⢿⣀⣀⣀⣀⣀⣀⣀⣀⡾⠟⠃⠀⠀⠀⣠⠇⠀⠀⠀
⠀⠀⠀⠀⠈⠙⠒⠤⣤⣄⣀⣀⣈⠉⠉⠉⠉⣁⣀⣀⣠⣤⠤⠒⠋⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡗⡡⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠑⠲⠤⢤⣀⣀⣀⣀⣀⣀⡤⠤⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⡟⠉⠉⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠉⠉⢻⣆⠀⠀⠀⠀
⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠻⠟⠛⠛⠻⠿⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡽⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢯⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀
⠀⠀⠀⠀⣿⠁⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠈⣿⠀⠀⠀⠀
⠀⠀⠀⠀⣿⠀⠀⠀⢿⣿⣿⠇⠀⠀⣀⣀⠀⠀⠸⣿⣿⡿⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⢻⣆⠀⠀⠀⠉⠁⠀⠀⠠⠤⠦⠄⠀⠀⠈⠉⠀⠀⠀⣠⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⠷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠾⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠿⣶⡄⠀⠀⠀⠀⢠⣶⡿⢿⣶⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠙⣿⡄⠀⠀⢠⣿⠋⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢹⣿⠀⠀⣾⡏⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠈⣿⡆⢠⣿⠁⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠿⠟⠻⠿⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠸⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠀⠀⠉⠀⠀⠀⢰⣶⣶⡆⠀⠀⠀⠉⠀⠀⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣶⣤⣤⣤⣀⣀⣤⣤⣤⣶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣍⡉⠉⠉⠉⠉⢉⣩⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⣿⣶⣶⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠿⠛⠉⠉⠛⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⠊⠉⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⠉⠑⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢏⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀ ⠀⠀⣸⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀ ⢠⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠘⠒⠒⠛⠛⠒⠒⠃⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⠀⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⠀⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⡀⠀⢠⡄⠀⢀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠙⠦⠞⠳⠴⠊⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡿⠀⠀⣀⣤⣽⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠃⠀⠀⠿⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡴⠒⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⢦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣸⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢦⡴⠚⠉⠉⠀⠀⠀⠀⠉⠉⠓⢦⡴⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣀⣸⠀⠀⠀⣤⡄⠀⠀⢀⡀⠀⠀⢀⣤⡀⠀⠀⣇⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⢼⡀⠀⠀⠉⠁⠀⠰⠼⠧⠆⠀⠈⠉⠀⠀⢀⡧⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠤⠤⠤⠤⠤⠤⠶⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣤⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣤⣄⠀⠀⠀⠀
⠀⠀⠀⢰⡟⠁⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠈⢻⡆⠀⠀⠀
⠀⠀⠀⢸⡇⠀⢸⣦⡀⠀⢻⣆⠀⠀⠀⠀⠀⠀⣰⡟⠀⢀⣴⡇⠀⢸⡇⠀⠀⠀
⠀⠀⠀⢸⣧⠀⠀⣿⣷⡀⠀⢻⡆⠀⠀⠀⠀⢰⡟⠀⠀⣾⣿⠀⠀⣼⡇⠀⠀⠀
⠀⠀⠀⠀⢿⡄⠀⠸⣿⣇⠀⠘⣷⠀⠀⠀⠀⣾⠃⠀⣸⣿⠇⠀⢠⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣿⡀⠀⠹⣿⠀⠀⣿⡇⠀⠀⢀⣿⠀⠀⣿⠏⠀⢀⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⢷⡄⠀⠙⠀⠀⠿⠷⠶⠶⠾⠿⠀⠀⠋⠀⢠⡾⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣻⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⣴⡆⠀⠀⠀⠀⢰⣦⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⠁⠠⣤⣤⠄⠈⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠙⠲⣄⠀⠀⠀⠀⢠⠖⠋⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⡟⢦⠘⣆⠀⠀⣰⠃⡴⢻⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢷⠈⣇⢸⡄⢀⡇⢸⠁⡼⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡈⢧⣹⣠⣧⣼⣅⣏⡼⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⠊⠁⠀⠀⠀⠀⠈⠑⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⢀⠀⡀⠀⠀⢀⠀⡀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⠶⠃⢀⡀⠘⠶⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠒⣻⣭⠥⠀⠰⠼⠧⠆⠀⠤⣭⣟⠐⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠳⠤⣄⣀⣀⣠⠤⠞⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡤⢧⣰⠀⠀⠰⡀⢀⠆⠀⠀⣆⡼⢤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠙⢆⠀⠀⣷⣾⠀⠀⣰⠋⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣼⣓⣒⣃⣘⣒⣚⣧⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⠟⠛⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠻⣶⡀⠀⠀⠀⠀
⠀⠀⠀⠀⣼⡇⠀⣀⣀⡀⢠⣄⠀⠀⠀⠀⠀⠀⣠⡿⢁⣀⣀⠀⢸⣷⠀⠀⠀⠀
⠀⠀⠀⠀⢹⡇⢸⣿⣿⣿⣆⢻⡆⠀⠀⠀⠀⢰⡟⢰⣿⣿⣿⡇⢸⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣿⡘⣿⣿⣿⣿⡌⣿⠀⠀⠀⠀⣿⢡⣿⣿⣿⣿⢃⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣧⡹⣿⣿⣿⣷⢹⡇⠀⠀⢸⡏⣾⣿⣿⣿⢏⣾⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣷⡙⢿⣿⡿⢸⣧⠀⠀⣼⡇⢿⣿⣿⢋⣾⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠿⠶⠶⠿⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠿⠟⠀⣀⣀⣀⡀⠘⠿⠟⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⢠⣤⡿⣧⣤⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣦⣤⣤⣤⣤⣶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣗⢦⠀⠀⠀⠀⡴⣺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⢎⢧⠀⠀⡼⡱⣻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢞⠘⠒⠒⠃⡱⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠦⡄⠀⠀⢠⠼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢐⡂⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠉⠉⠀⠀⠉⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠸⠀⠀⠀⠀⠀⠀⠏⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠇⠘⡀⠀⠆⢸⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠦⠼⣀⡗⠺⣀⠮⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠒⠒⢄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡔⠉⠉⠑⠢⡀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠈⢢⡀⠀⠀⠀⡰⠁⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠱⡀⠀⢠⠃⠀⢀⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⢡⠀⢸⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠊⠉⠁⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠁⠛⢀⣤⣄⡀⠛⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠧⠇⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⠂⠀⠀⠀⠀⠀⠐⡙⢆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⠀⢱⠀⢠⠊⠁⡰⠁⠘⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠈⠑⠊⠀⠈⠒⠊⠁⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠈⠂⢀⠀⠀⠀⠀⢀⠤⠄⠀⠐⢃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠒⠒⠈⠁⠒⠒⠉⠐⠒⠒⠚⠤⣠⠤⠔⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠱⡄⢠⠎⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢣⡎⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⢸⡇⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠘⠃⢀⡀⠸⠃⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠂⠀⠀⠐⠂⠀⠀⠐⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⡄⠀⠀⡀⢀⠀⠀⢠⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠣⣄⣀⢇⠀⠀⡇⢸⠀⠀⡎⣀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣤⣤⠇⠸⣤⣴⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⠶⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⠁⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⠀⠀⣠⣤⣄⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⠀⠀⠀⠀
⠀⠀⢹⣆⠀⣿⣿⣿⣧⡈⢿⡄⠀⠀⠀⠀⠀⠀⢠⡾⠋⠉⠀⠀⠀⠹⣧⠀⠀⠀
⠀⠀⠀⢻⣆⠘⣿⣿⣿⣷⡈⣷⡀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀
⠀⠀⠀⠀⠹⣧⠘⣿⣿⣿⣧⠸⣧⠀⠀⠀⠀⣼⠇⣼⣷⡀⠀⠀⠀⠀⠀⣿⡀⠀
⠀⠀⠀⠀⠀⠘⢷⣌⢿⣿⣿⡆⣿⣤⣤⣤⣤⣿⢰⣿⣿⣿⣆⠀⠀⠀⢀⣿⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠹⣷⣝⠿⠃⠈⠀⠀⠀⠀⠁⠘⠿⣫⣼⠟⠛⠶⠶⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⢡⣶⣿⣿⣷⣶⠟⠻⣶⣾⣿⣿⣷⡌⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⡏⢸⣿⣿⣿⣿⠏⣤⣤⠹⣿⣿⣿⣿⡇⢹⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠉⠛⠋⠉⠰⠾⠷⠆⠈⠙⠛⠉⠀⣿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣦⡀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⠶⠶⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠁⢀⣤⠶⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⢀⣴⠟⠁⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⣰⠟⠁⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣠⣤⣥⣤⣴⡏⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⠞⠋⢁⡀⠀⠀⠈⠙⣦⡘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⡇⠀⠀⠈⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠸⠷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠉⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠿⢰⠆⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢠⡿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣼⡇⢀⡾⢁⣀⣤⣿⡄⠀⠀⠀⠀⠀⠀⣿⠀⠒⢲⡆⠀⠀
⠀⠀⠀⠀⠀⠀⢰⣯⣤⣤⡾⠡⣿⣭⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⡾⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠈⢳⡀⠀⠀⠀⠀⢠⡟⠁⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⣧⠀⠀⠀⠀⣾⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢹⣀⣀⣀⣠⡇⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣠⠖⠋⠉⠉⠉⠉⠙⠲⣤⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠛⠁⠀⠀⠀⠀⠘⠛⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⢻⡅⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢨⡏⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡒⠤⣄⣻⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠙⢧⡀⣀⣇⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⡀⠉⠀⠀⠈⡑⢄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⣄⣀⣀⡇⠀⠀⠀⠀⠁⠨⡷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢲⠚⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣤⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣼⠁⠀⢸⠀⠀⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⣀⠀⣠⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠹⣄⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⢸⡞⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠉⠉⠹⣄⠀⠀⠀⠀⢀⣀⣏⣤⢲⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⣀⣀⣁⣀⣤⣤⣽⢣⣬⣽⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⠲⡄⠀⠀⠀⠀⠀⢠⠖⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠘⢆⠀⠀⠀⡰⠃⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠈⢇⠀⡸⠁⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠘⡄⣀⠤⠚⠒⠳⠤⣀⢠⠃⠀⠀⡞⠉⢳⠀⠀⠀⠀
⠀⠀⠀⠀⡜⠁⠀⠉⣆⠀⠀⡝⠁⠀⠀⠀⠀⠀⠈⢯⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠳⣄⣀⡠⠏⠀⡼⠁⢠⣶⡆⠀⢰⣶⡆⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⠀⠉⠀⠀⠀⠉⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⡏⠉⣹⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠘⠒⠃⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠦⠤⣤⣤⣤⠤⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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