Pennywise Emojis & Text

Copy & Paste Pennywise Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣦⣤⡀⠀⢸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣶⣿⣧⣠⣴⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠀ ⢸⣿⣿⣿⣦⡀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀ ⢸⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿⠟⠻⠿⠻⠋⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⡿⠉⢿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⣠⣿⣿⣧ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠈⠁⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⠿⠋⠀⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⠀⠀⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣇⠹⡄⠀⣀⠤⠤⢄⡀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢀⠠⠤⣀⠀⠀⣼⢋⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⡄⢧⠀⠀⠀⠀⠀⠈⣒⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠊⠁⠀⠀⠀⠀⢰⡏⣾⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣷⠸⡄⠀⠀⠀⠰⣿⣅⠣⠽⣢⣀⠀⠀⢠⠀⡎⠀⠀⢀⡠⢞⡩⢉⣶⠄⠀⠀⠀⡾⣸⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢷⠀⠀⠀⠀⠙⢿⣿⡿⠟⠋⠉⠉⣓⡒⠈⠒⠚⠛⠻⠶⠶⣿⡏⠀⠀⠀⢸⢷⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣼⡄⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⣾⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣰⡟⠁⠀⠀⠀⣠⣀⣀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠘⢷⡀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢿⡇⠀⠀⠀⠀⢿⣿⣿⣻⣿⣿⣿⡿⠇⠀⠀⠀⠀⢀⣼⡗⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠈⠒⢤⣀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⢀⣀⡤⠖⠋⠉⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠙⢿⣿⣶⣶⣦⣤⣶⣶⣾⣿⡟⠁⠀⠀⢀⣠⠴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⡀⠀⠀⠀⢻⣿⣯⣁⣀⣀⣿⣿⠏⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⢫⣽⣻⣿⣿⡿⠃⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠈⠉⠉⠉⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠤⣀⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣶⣦⣌⣆⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠖⠀⠀⠀⢀⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⢀⠀ ⣼⣿⣦⣀⣠⣴⣿⣿⣿⣿⢿⡿⠋⠻⣿⣿⣿⣿⣿⡟⢿⡿⣿⣶⣄⡀⠀⠀⢸⣇ ⣿⣿⣿⣿⣿⣿⡿⠋⠈⠀⠀⠀⠀⠀⣿⣿⣿⣿⠟⠀⠈⠀⠈⢿⣿⣿⣷⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣠⣴⠿⠋⠙⠇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣯ ⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿ ⠀⣼⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠃ ⠀⠘⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠙⣻⣿⣯⢃⠀⠤⠀⢀⡇⠀⠀⠀⠀⠀⢁⠀⠤⠀⢰⣻⣿⣿⠿⠋⠀⠀ ⠀⠀⠀⠀⠈⠛⠿⡎⡀⠀⢰⣈⣣⣀⢀⢰⠀⣀⠞⣢⠀⠀⣮⣿⠯⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢀⡽⠉⠀⠀⠀⠀⠈⠉⢻⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢏⠀⠀⠶⣶⣴⡶⠆⠀⢀⡷⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠁⢲⣤⣬⣩⣤⡴⠂⢁⡠⠜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⡀⠹⣳⣶⡿⢁⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠶⢾⡏⠀⠀⠀⠈⢻⡷⠶⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡿⠋⣀⣤⣴⣼⣿⣄⡀⢀⣠⣾⣷⣦⣤⣀⠙⢿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠏⢀⣾⠋⠁⠀⠀⠉⠙⠛⠛⠋⠉⠀⠀⠈⠙⣷⡀⠹⣷⠀⠀⠀⠀ ⢀⠀⢀⣼⠟⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠹⣧⡀⠀⡀ ⣿⡟⠛⠋⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠙⠛⢻⣿ ⢻⡇⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⢸⡟ ⠘⣿⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⡆⠀⠀⠀⠀⢰⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⣾⠇ ⠀⠹⣧⡀⠀⠀⠀⢸⣷⠀⣠⣄⣇⣀⡀⢀⣀⣸⣠⣄⠀⢼⡇⠀⠀⠀⢀⣼⠏⠀ ⠀⠀⠙⢿⣦⣄⣀⣸⡇⠀⠘⢲⡭⠞⠁⠈⠳⢬⡖⠃⠀⢸⣇⣀⣠⣴⡿⠋⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠙⣷⡀⠀⡞⠰⣶⣶⣶⣶⠆⢳⠀⢀⣾⠋⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠓⠲⣄⣈⣁⣠⠖⠚⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠙⠿⠿⠋⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣶⣤⣤⣴⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
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⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟫🟫🟫⬛⬜⬛⬛⬛⬛⬛🟫🟫🟫⬛⬜⬜⬜ ⬜⬜⬛🟫🟫🟫🟫🟫⬛⬜⬜⬜⬜⬜⬛🟫🟫🟫⬛⬜⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫⬜⬜⬜⬜⬜⬜⬛🟫🟫🟫⬛⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫⬜⬜⬜⬜⬜⬜⬜⬛🟫🟫⬛⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫⬜⬛⬜⬜⬜⬜⬜⬛🟫🟫⬛⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫⬜⬜⬛⬜⬜⬜⬛⬛🟫🟫⬛⬜ ⬜⬛🟫🟫🟫🟫🟫🟫🟫⬜⬜🟨🟨⬜🟨⬜⬛🟫🟫⬛⬜ ⬜⬜⬛🟫🟫🟫🟫🟫⬜⬜⬜🟨🟨⬜🟨⬜⬛🟫⬛⬜⬜ ⬜⬜⬜⬛🟫🟫🟫⬜⬜🟫⬜⬜⬜🟥⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜🟫🟫⬜⬜⬜⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟪🟦⬜⬜⬛⬜⬜⬜⬜⬜⬛🟦🟪⬛⬜⬜⬜ ⬜⬜⬛🟪🟦🟦🟪⬜⬜⬛⬛⬛⬛⬛🟪🟦🟦🟪⬛⬜⬜ ⬜⬛🟪🟦🟦🟪⬛🟪⬜⬜⬜⬜⬜⬜⬛🟪🟦🟦🟪⬛⬜ ⬜⬛🟪🟦⬛⬛⬛🟪🟪🟨🟧🟨🟪🟪⬛⬛⬛🟦🟪⬛⬜ ⬜⬛⬜⬜⬜⬛⬛🟪🟪🟨🟨🟨🟪🟪⬛⬛⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬛⬛🟪🟪🟨🟧🟨🟪🟪⬛⬛⬜⬜⬜⬛⬜ ⬜⬜⬛⬛⬛⬜⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟧🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨⬛⬛⬜⬜⬜ ⬜⬛⬛⬛🟨🟨🟨🟨🟨⬛⬜⬛🟨🟨🟨🟨🟨⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣷⠀⣿⣿⣿⣿⣿⣷⠀⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⡄⠘⣿⣿⣿⣿⠏⢠⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠙⣿⣿⣿⣷⠀⠀⠀⠀ ⣀⡀⢀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⡀⢀⣀ ⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡏ ⠘⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠃ ⠀⠸⣿⣿⣿⣿⣿⣿⡇⠀⢤⠤⣧⢤⡀⢀⡤⣼⠤⡤⠀⢸⣿⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⠈⠻⢿⣿⣿⣿⡇⠀⠈⢹⠗⠋⠀⠀⠙⠺⡏⠁⠀⢸⣿⣿⣿⡿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⢿⡄⠀⡏⠐⠶⢶⡶⠶⠂⢹⠀⢠⡿⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠉⠛⣦⣤⣤⣴⠛⠉⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠈⠛⠛⠁⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⠶⠶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠁⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀⠈⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⠿⠿⠛⠛⠛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠛⠛⠛⠿⠿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠛⠁⠀⠀⢀⣀⣀⣀⣹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣀⣀⣀⡀⠀⠀⠈⠛⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⡀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠈⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⠀⣰⣿⣿⠿⠋⠁⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠈⠙⠻⣿⣿⣆⠀⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⠀⣼⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⡟⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⢹⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⢀⣄⡀⠀⠀⣠⣾⣿⡟⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢻⣿⣷⣄⠀⠀⢀⣠⡀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠉⢸⣿⣿ ⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡏ ⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇ ⠀⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀ ⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀ ⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡏⠀⠀ ⠀⠀⠀⠹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢰⣶⠶⣶⣿⣦⣤⣤⣀⠀⠀⣀⣤⣤⣴⣿⣶⠶⣶⡆⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠈⠿⣦⣈⣛⣃⣨⣿⠏⠀⠀⠹⣿⣅⣈⣛⣁⣴⡿⠁⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣶⣶⣤⣤⣴⣿⣿⠀⠀⠀⠀⠀⠈⣹⡟⠛⠉⠀⠀⠀⠀⠀⠀⠉⠛⢻⣏⠁⠀⠀⠀⠀⠀⣿⣿⣧⣤⣤⣶⣶⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⠿⣿⣿⣇⠀⠀⠀⠀⣰⡿⠁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠈⢻⣆⠀⠀⠀⠀⣸⣿⣿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣦⠀⠀⢠⣿⠁⠀⠙⠿⠿⣿⣿⣿⣿⠿⠿⠋⠀⠀⣿⡆⠀⠀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠈⢿⣤⣤⣀⠀⠀⠈⠛⠛⠁⠀⠀⣀⣤⣤⡿⠁⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠈⠉⠻⣷⣦⣤⣀⣀⣠⣴⣾⠟⠉⠁⠀⠀⣼⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⠙⠛⠛⠋⠀⠀⠀⠀⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣶⣤⣀⣀⣀⣀⣀⣀⣀⣀⣤⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣩⣭⡈⠙⢿⣿⣿ ⣿⣿⣿⡟⣩⣭⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⢸⡿⠉⢻⡆⢸⣿⣿ ⣿⣿⣿⢸⡿⠉⢻⡆⢸⣿⣿⣿⣿⣿⣿⣿⣦⡛⠴⠛⠁⣸⣿⣿ ⠄⣿⣿⣦⡛⠴⠛⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⠄⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⢿⣿⣿ ⢀⣾⣷⣿⢿⣿⣿⣿⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢸⣿⠿⠟⠋ ⣿⣿⣿⣿⣷⣌⠙⠻⢿⣷⣶⣤⣤⣤⣀⣠⡤⠞⡋⡍⠄⠂⠄⠄ ⢿⣿⣿⡿⢻⣿⣦⠄⠘⣿⡁⣾⣹⡍⣁⠐⡆⡇⠁⡌⠄⠄⠄⣰ ⣿⣿⣿⢁⣾⣿⣿⣷⡘⢻⣧⣇⡟⢿⢿⠄⢷⢸⡧⠁⠄⠄⢰⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⢹⠸⢣⢈⠘⡇⠘⠈⠄⠁⠄⠄⣼⣏ ⣿⣿⣿⣿⣿⣿⣿⣿⠻⣷⡀⠄⠸⢿⣿⡏⣾⠓⠃⠄⠄⢀⡟⠎ ⣿⣿⣿⣿⣿⣿⡿⠋⡤⣼⣷⡀⠄⠈⠄⠄⠄⠄⠄⠄⣠⡞⣼⡴ ⣿⣿⣿⣿⣿⣿⣷⣾⣻⣿⣿⣿⣦⣤⣭⣥⣤⣤⣶⣾⡟⠑⠋⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣶⠀⠠⣦⣶⣶⣶⣿⡿⣿⣟⣿⢿⣻⣿⣿⣿⣾⣷⣶⣶⣶⣶⣶⣶⡶⡶⠶⠶⠶⠴⠦ ⠀⣿⣿⣆⠀⠀⠀⠀⠈⠈⠉⠙⠛⠛⠋⠉⠉⢳⣿⣽⣾⢿⠉⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡷⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣽⡿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣽⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢨⣿⣯⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢨⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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