Looney Tunes Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⣇⣠⢖⣖⢦⡤⠴⢶⣶⠄⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⢤⡀⠀⠀⠀⠀⠀⢾⠀⠈⢁⡿⣿⡏⣆⠀⠈⠉⣷⡆⠀⡿⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠀⠀⠀⠉⠙⠒⠦⠤⣤⣼⡄⠀⡞⠀⠘⣿⢸⡄⠀⠀⠘⣆⡴⠃⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⠀⠀⡴⠊⠁⡴⠒⠒⠒⠚⠙⢦⡀⢀⣀⣀⣯⣈⣿⢸⠁⠀⠀⠹⡇⢹⠀⣠⣾⣿⣶⠀⢀⣼⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⢋⣠⡍⠉⠉⠀⠀⠉⢳⠀⠀⠀⠀⠀⢀⡿⠏⠀⢀⣀⣄⡈⠙⣆⠀⠀⢀⣽⠸⣿⠟⠉⢠⣏⡤⠼⠷⠶⣏⡉⠙⠒⠒⠒⠚⠛⠓⣆⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⣼⡟⢠⠞⠉⠙⠲⣄⡳⣄⠀⠀⡴⠁⠀⠀⠀⢀⣴⣿⢿⡦⠼⢦⡤⠿⠿⠷⣿⣀⡴⢟⣉⣤⣆⡀⠀⠘⠻⣄⠀⣠⠴⢤⡀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⠴⠃⠀⠀⠀⠀⠀⠉⠁⠀⣼⡄⠀⠀⠀⠀⣸⣿⡋⠀⠀⠀⣇⠀⠀⠀⠀⣨⠇⠀⠈⢿⣿⣷⠤⠄⠀⠀⣸⡏⠀⠀⡼⠉⠃⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠁⠀⠀⠀⠀⣿⣿⣷⠤⣀⣀⣈⣹⣶⣿⣉⠁⠀⠀⢀⣠⣿⣿⡇⠀⠀⠀⢹⡁⠀⡼⠁⡠⠤⢄⠀⠑⠲⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀⣿⣿⣿⣄⣼⣯⣿⣿⣿⣿⣿⣿⣻⡟⢉⣿⣿⣿⡇⠀⠀⠀⠀⢧⠺⠓⠋⠀⠀⠈⢧⠀⢢⡈⢿⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⢣⣀⠹⣶⠿⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⡼⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⢹⡿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣤⠞⠁⠀⠀⢀⡤⠞⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢻⣿⣿⡟⢻⣿⣯⣀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⣩⣄⢸⣿⣿⠇⠀⣿⡏⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣅⣈⣿⣡⣿⡤⠤⠞⠁⣨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣄⠀⠀⠀⠀⠀⠀⢀⣏⢀⢀⣀⣀⣀⣀⡤⠴⠚⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠓⠦⢤⣤⠤⢴⣿⣭⣭⣭⣿⣛⣉⣀⠀⠀⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⡿⠀⠀⠀⢹⡍⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⣙⠆⠀⠀⢀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⢀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠥⣄⣀⣈⣛⡲⠖⠒⢲⣯⣍⠓⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⣄⣀⣈⡷⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛🟨🟨🟨🟨🟨⬛⬛ ⬛🟨🟨🟨🟨🟨🟨🟨⬛ ⬛🟨⬜⬜🟨⬜⬜🟨⬛ ⬛🟨⬜🟦🟨🟦⬜🟨⬛ ⬛🟨⬜🟦🟨🟦⬜🟨⬛ ⬛🟨🟨🟨🟧🟨🟨🟨⬛ ⬛⬛🟨🟨🟨🟨🟨⬛⬛ ⬛⬛⬛🟨🟨🟨⬛⬛⬛ ⬛⬛🟨🟨🟨🟨🟨⬛⬛ ⬛⬛⬛🟨🟨🟨⬛⬛⬛ ⬛🟧🟧🟨⬛🟨🟧🟧⬛ ⬛🟧🟧🟧⬛🟧🟧🟧⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛
⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜ ⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛🟧🟧🟧🟥⬛ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟥⬛ ⬛🟥🟥🟥⬛⬛⬛🟥🟥🟥⬛⬛⬜⬜⬜⬛🟧🟧🟧🟧🟧🟥⬛⬜ ⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬛🟧🟧🟧🟧🟧🟥⬛⬜⬜ ⬜⬜⬛🟥🟥🟥⬛⬛🟥🟥🟥⬛⬜⬜⬛🟧🟧🟧🟧🟥⬛⬜⬜⬜ ⬜⬜⬛🟥⬛⬛🟥🟥🟥🟥⬛⬜⬜⬜⬛🟧🟧🟧🟥⬛⬛⬛⬛⬜ ⬜⬜⬜⬛⬛🟥⬛⬛🟥🟥⬛⬜⬜⬜⬜⬛🟧🟧🟥⬛🟧🟧🟥⬛ ⬜⬜⬜⬜⬛⬛⬜⬜⬛🟥⬛⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥⬛⬜⬜⬜⬜⬜⬛🟧🟧🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬛🟧🟧🟧⬛⬛⬛⬜ ⬜⬜⬜⬜⬛🟪🟥🟪🟪🟪🟥⬛⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟥⬛ ⬜⬜⬜⬜⬛⬜🟪⬜⬜⬜🟪🟥⬛⬜⬜⬜⬜⬛🟧🟧🟥⬛⬛⬜ ⬜⬜⬜⬛⬜⬛🟪⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛🟧🟧🟥⬛⬜⬜ ⬜⬜⬜⬛⬜⬛🟪⬛⬜⬜⬜⬛🟨🟨⬛⬜⬜⬛🟧🟥🟥🟥⬛⬜ ⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬛🟨🟨🟨🟨⬛⬛⬛🟧🟥⬛⬛⬜⬜ ⬜⬜⬛🟨🟨🟨🟨⬛⬛⬛🟨⬛⬛🟨🟨⬛⬜⬛🟧🟥⬛⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨⬛⬛⬜⬜⬛🟧⬛⬜⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛🟧⬛⬜⬜⬜⬜ ⬜⬜⬛🟨🟨🟨⬛⬛⬜⬛🟥⬛⬜⬜⬛⬛⬛🟥⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬛⬛⬜⬜⬜⬛🟥🟥⬛⬛🟥⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟥🟥🟥⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟥⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟥🟥⬛🟥🟥🟥⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛🟨⬛🟨⬛⬜⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦⬛⬛⬜⬛🟨⬛🟨⬛⬛🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🟦🟦🟦🟦⬛⬛⬛⬛⬛⬛🟦🟦🟦⬜⬜⬛⬜ ⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦⬛⬜ ⬜⬜⬜⬜⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬛⬛🟦🟦🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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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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𓅰๋࣭ ⭑
⠀⠀⠀⠀⠀⠀⢀⢤⡟⠀⠀⠀ ⠀⠀⠀⠀⡠⢊⢕⡟⠀⠀⣠⠀ ⠀⠀⠀⢰⠷⣡⡫⣤⠶⣾⠏⠀ ⠀⠀⠀⠈⣾⣿⡞⠒⠉⠀⠀⠀ ⠀⣀⣀⣸⣿⣧⣿⣀⠀⠀⠀⠀ ⠀⠀⠼⡂⠉⠹⠼⡉⠟⠂⠀⠀ ⠀⠀⠀⠀⢉⣵⣜⢖⢄⡀⠀⠀ ⠀⠀⠀⠀⠀⣗⣻⡌⣿⣿⡷⠀ ⠀⠀⢀⣶⣬⣮⠧⠞⡅⠀⠀⠀ ⠀⠀⢸⣿⠋⡟⠀⢠⠁⠀⠀⠀ ⠀⠀⠀⠘⡇⠳⠲⡊⡄⠀⠀⠀ ⠀⠀⠀⠀⡆⢸⠀⢇⡅⠀⠀⠀ ⠀⠀⠀⠀⢰⠀⢟⠸⣣⠂⠩⣢ ⢠⣊⠍⠙⢏⣃⢼⠩⠅⠠⠗⠃ ⠀⠁⠬⠄⠀⠔⠁⠀⠀⠀⠀⠀
⠐⡀⢂⠂⡐⠠⠀⠄⠀⡀⠀⢀⠀⡀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⡿⠁⢠⣿⡟⣽⣿⣿⣿⠋⠀⣠⣴⣿⢟⡽⣭⣻⣽⠿⠛⠉⠀⠀⠀⠀ ⠐⡀⠂⠄⠠⠁⠂⠄⠂⠐⠈⢀⠂⠐⡀⢀⠈⡐⠀⠁⠂⡀⠄⠀⡐⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇⣠⣿⣿⣹⣿⣿⡟⠁⢀⣶⣿⢻⡜⣯⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠠⠐⡀⠡⣀⠐⡀⠈⠐⡈⠄⡀⠂⠄⡀⠂⠄⡈⠠⠁⠄⡐⠠⠐⠀⠡⠀⠀⠀⡀⠀⠀⠀⠀⡀⣼⣿⡿⢠⣿⣛⣾⣿⣿⠏⣀⣼⡿⣏⣷⣯⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠄⠡⠀⠁⠄⠂⡀⠌⠠⠀⠐⠀⠌⠠⠀⡁⠂⢀⠡⠈⠠⠐⡀⠁⠌⠠⠁⡀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣿⢯⣿⣿⡿⢁⣴⡿⣟⣳⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠐⠀⡁⢈⠐⠀⠄⡀⠂⠌⠐⠈⠐⡀⠂⠐⡀⠂⠐⡀⠂⢁⠀⢂⠐⡀⠄⠀⢀⠀⠠⠀⠀⠌⢀⣿⣿⢿⣯⣿⣿⣯⣴⡿⣟⣽⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⡀⠂⠄⠂⢈⠐⡀⠄⠡⠈⠄⠡⠐⢀⠡⢀⠐⠈⡐⠠⠁⠄⡈⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⢀⣸⡿⣭⣟⣾⣿⣿⢿⣹⣳⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠠⠈⠀⠂⠀⠄⠁⡐⢈⠀⠌⢀⠀⠂⠌⠀⠄⡁⠄⢂⠀⠁⠌⠀⠈⠀⠀⢠⣤⣤⣄⣀⣾⡿⣱⣾⣟⢧⣛⣮⣷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠂⠄⠀⠌⠐⠈⡐⠠⠀⢂⠀⠈⠀⢢⣷⣽⣷⣶⣶⣾⣿⣿⣿⣿⣝⣿⡟⣜⢯⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠘⠀⠠⢀⠀⡀⠃⠀⠀⠀⡀⠀⠛⠛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣇⠿⣜⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢉⣭⣿⣿⣿⠿⣿⣷⣳⢎⣟⡻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣭⣻⢼⣿⢧⡻⣼⡹⢧⣛⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣻⡿⣿⣿⣟⣿⣷⣿⣛⡮⣗⢧⡻⣵⢫⡞⡽⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣯⢗⡿⣹⣿⡳⣝⢾⣷⢫⢷⣹⣎⠷⣹⠖⣯⠞⡽⣭⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⣿⣯⢻⣼⣿⢳⡝⣮⣿⣏⡟⣮⢳⣎⣿⣱⣿⣬⢿⣵⣏⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢳⣿⣭⢷⣿⣭⣳⣽⢾⣿⣼⠽⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣧⣻⡿⣎⣿⣿⡟⢉⡥⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⣽⡟⣵⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣼⣿⣾⣷⣿⡤⠤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠷⢻⡾⠋⠁⠀⣀⣀⡤⠤⠖⠒⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢻⣿⣿⠟⠁⣴⢋⣠⠤⠒⠋⠉⠀⢀⣀⣤⡤⠤⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⢸⡿⠃⣀⣼⠛⠉⢀⣠⠤⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣿⣴⣶⣦⢼⣧⠞⣁⣼⠖⠋⠉⠀⢀⣀⣀⣀⣀⣤⠤⠤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠶⣛⣋⣭⡿⠞⠛⢻⣏⣠⣶⣾⣉⣛⣭⠾⢶⡚⠛⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⠟⠉⠀⣀⣤⠶⢿⡏⠀⠀⠀⠀⠈⠉⠉⠒⠙⠲⠤⣤⣤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣶⠚⠉⠀⠀⠘⣷⠀⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠚⠉⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠈⠛⠦⣌⣙⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⢶⠶⡶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⢿⣿⣿⣿⣧⠀⠀⠀⢷⠀⠀⠀⠀⢀⣤⠖⠛⠓⠲⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⣴⡾⣟⢯⣛⠶⣍⠾⡱⣍ ⠀⠀⠀⡾⠷⠶⣷⣰⡾⠶⢶⡀⣠⠶⠒⠓⠲⢦⡀⠀⠀⡀⠐⣿⣿⣿⣿⣷⠀⠀⠸⡆⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⢻⡤⣾⢯⡳⣝⢮⣓⠿⣸⢫⡕⣎ ⠀⠀⠀⡇⠀⠀⠈⢿⡇⡀⢸⡿⠁⢀⣤⠦⣄⠀⠘⣧⠀⠀⠀⢻⣏⢿⣿⣿⠃⠀⠀⢻⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠻⣿⢯⢵⡫⢮⡝⣮⣱⢫⡜⣣ ⠀⠀⠀⡇⠀⢱⡀⠘⠧⠀⢸⡅⠀⢸⣿⣧⣻⠀⠀⣿⠀⢈⠀⠀⠹⢦⡈⠁⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠈⢿⣎⢷⢫⡞⡵⣎⠷⣙⣦ ⠀⠀⠀⡇⠀⢸⣳⡀⠀⠀⢸⢷⡀⠀⠛⠟⠋⠀⢠⠟⠀⠀⢈⠠⠀⠈⠙⠶⠦⠤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠹⢯⣧⢻⡜⣮⣛⢯⡛ ⠀⠀⠀⠯⣧⡼⠄⠻⠦⡤⠾⠀⠙⣲⡤⠤⠤⠞⠃⠀⡀⠁⢀⠂⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣧⠀⠀⠀⠈⠹⢷⣝⡦⣙⠦⣝ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⢀⣀⣀⣀⣀⠀⠀⡀⠁⠀⠄⠁⠐⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⢿⣿⣹⣆⣿⣧⣀⠀⠀⠀⠀⠉⠳⢯⣞⣴
⡁⣀⠀⣈⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⢻⡟⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⣠⣧⢼⣯⣙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠱⡄⠀⡀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣻⣿⣿⣮⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⡀⠂⠘⢿⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡘⣩⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠒⠋⠉⠙⠛⠙⠋⠀⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣻⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢶⣯⠖⠉⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣹⠋⠀⠀⢀⠐⠈⠀⢀⠀⠁⡀⠁⠀⡀⠀⠈⠲⡙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⡹⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣠⢟⠉⠉⠳⡄⠀⠠⠁⠀⠠⢀⡤⠖⠒⠲⢤⡁⠀⢻⡌⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⡿⠃⣿⣫⣉⣹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⢸⠦⣀⠀⢳⠀⠀⠄⠈⣠⠋⠀⢀⣠⡞⠁⢷⡠⢌⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡭⣹⣿⣿⡙⣝⠛⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⣇⢸⡀⡟⠙⠈⠛⠉⠙⠛⠋⠒⢺⡋⢀⡗⠀⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠩⠓⠦⠤⢴⣌⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⣦⣽⡃⠀⢦⣀⣀⣀⣠⡴⠂⠘⢷⡾⢁⣴⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⣞⡀⠈⣽⡇⢨⠉⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⡞⠀⠀⠈⠉⠛⠻⡿⣿⠿⠿⠖⠖⠒⠚⠛⠛⠛⠛⠟⠫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣩⣿⡿⣿⣿⣿⣷⣾⣾⡦⣷⣦⣶⣤⠀⢄⣤⣿⠿⠛⠁⢀⡇⠀⠀⠄⣠⠞⠛⣇⠀⠀⠀⠀⠀⡀⠠⠀⡐⠀⠄⢈⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⢩⢔⣹⣿⣿⣿⣻⡏⠀⢻⠉⠛⠻⠸⠿⠛⠁⠀⠀⠀⢸⠁⢀⡤⠖⢧⠀⠀⣻⠢⢄⡀⠀⠁⡀⠄⠂⠀⠌⠠⡈⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡒⡿⢞⠛⢘⠿⠧⠈⠣⡨⠿⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣴⠋⠀⠀⠈⠳⠿⠏⠀⠀⠉⠓⢦⡀⠐⠈⡐⢠⢁⠲⣩⣿⡇⠙⢦⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⣼⣮⢴⡢⡀⢧⣁⠀⢠⠀⠀⠁⢩⠹⠓⡆⠀⠀⠀⠀⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⢵⢣⣎⢳⢦⣿⡇⠀⠀⠑⢦⡀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣟⠉⢙⡛⠷⡄⣀⣀⠘⣾⣤⡤⡤⢤⣬⣿⣀⠀⠀⠀⠈⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣾⣿⣿⡿⠉⠀⠀⠀⠀⠈⠲⣄⠇⠀⠀⠀⠀⠀⠀⢀ ⠻⣝⣆⠈⠉⠉⠁⠀⠀⠀⠀⠀⠉⢱⠲⣿⠛⠉⠙⠓⠒⠄⠀⠀⠙⠻⢶⣦⣤⣴⣷⣤⣿⣤⣤⣤⣤⣤⣴⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⢀⡛⠋⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠐⠒⠒⠚⠛⠒⢺⡒⠒⠶⣒⠂⠀⠀⠀⣴⡄⢀ ⡴⣽⣾⠟⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣈⣈⠉⠩⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠐⠒⠚⠚⠛⢦⡀⠈⠣⣄⠀⠀⠹⣷⡀ ⣿⣿⣏⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⣄⣙⡲⢰⠟⠻ ⠛⢙⠋⠳⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣟⠀⡀ ⠀⢌⣳⣦⣤⣀⢈⣹⠶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡤⣀ ⠾⣮⣷⣿⡿⠈⠛⠤⣄⣙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⢧ ⢀⣠⣿⠟⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿ ⡿⣿⣦⣶⣶⣶⣶⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣄⣀⣀⣀⣀⣤⣼⣿ ⠛⠛⠉⠉⠉⠁⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⢒⣲⣶⣶⣟⣻⣟⣿⣿⣟⣿⣛⣿⣻⣿⣿⣿⣿⣿⣷⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠚⠿⠿⠷⠯⠭⠽⠿⠿⠿⠓⠚⠛⠚⠋⠉⠉⠙⠛⠛⠓⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⢲⣦⠤⠤⠴⠖⠒⠒⠶⠤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⢠⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⡾⠀⢀⣠⠔⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠉⠹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠙⣻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⢯⡀⠀⠀⠀⠀⠀⠹⣄⠀⠀ ⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢀⡀⠀⣰⡼⠃⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠈⠳⡄ ⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡼⢁⡴⠊⠀⠀⠀⠀⠀⠀⠀⣆⠀⢾⣇⣼⡿⠁⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⢳ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣼⡵⠋⠀⠀⠀⠀⠀⠀⢀⣄⣴⢻⢰⣼⡏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⣾ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣸⣯⠄⠀⠀⠀⠀⠀⠀⠀⣸⡾⠁⢸⡾⣧⣳⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⡼⢹ ⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⢸⡟⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⣼ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⡞⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢀⡾⠃ ⠀⠀⠀⠀⢸⡀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⣀⡴⠻⣤⠀⠀⠀⠀⠀⡇⣰⣯⣹⡧⠀⠀⠀⠀⠀⠀⣰⠃⠀⢀⣠⠞⠁⠀ ⠀⠀⠀⠀⠈⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⡴⣎⠙⣇⠀⢨⣧⡀⠀⠀⠀⢿⣿⣿⣿⣯⠀⠀⠀⠀⠀⡴⢁⡤⠞⠉⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠿⠶⠦⠤⣿⡀⠀⠀⠀⢸⠁⠈⢦⡈⢳⣸⣿⣧⠀⠀⠀⠈⢿⣿⣿⡷⠤⠀⠀⣤⣾⠜⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⠁⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠸⠇⠀⠀⠈⠳⣟⣿⣿⠇⢀⣀⣀⡉⠉⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⢀⠀⠀⠀⠀⠀⠀⢀⣀⡟⢦⡀⣄⠀⠀⠀⠀⣰⠃⠀⠀⠰⢯⣶⠴⣛⡶⠒⠂⠀⠀⢀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⢿⠀⠀⠀⠀⠀⠀⢀⡟⠇⠈⠛⠿⠓⠲⠖⠚⠻⣄⡀⠀⠀⠀⣙⡉⠁⠀⣀⠤⠴⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠹⣆⠀⠀⣀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠉⠉⠉⣩⢽⠁⡰⠿⡄⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⠤⣈⣧⡞⠁⠀⠀⠀⠀⠀⠀⠀⣠⣤⠜⠹⣀⣠⢾⠞⡥⠀⢀⠀⠘⣦⠴⣍⣉⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡿⠟⠒⢦⠘⢣⡇⢰⠁⠀⠈⡗⠦⠥⠴⢯⣭⣍⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⣶⣒⠋⠉⠉⠀⠀⠀⠀⠀⠉⢹⠃⠈⠁⠀⠀⡇⠀⠀⡴⠋⣼⠀⠀⠀⠉⠉⠓⠲⣶⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠈⠉⠉⠓⣦⠤⣀⡀⠀⠀⢸⠄⠀⠀⠀⠀⢷⣄⣾⢖⡼⠁⠀⠀⠀⠀⣠⠴⠊⡽⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⢠⣞⡉⠉⠙⠺⣍⠙⠒⠾⣅⡀⠀⠀⠀⠀⠙⣏⠁⠀⠀⠀⢀⡠⠞⠁⢀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⡴⠖⣿⠀⠀⠸⣶⣷⣆⢠⡞⠉⡇⠀⠀⠀⠈⠑⠦⣄⡀⣠⠏⠀⠀⣀⠴⣿⠶⠶⠶⠾⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠾⠭⠤⠤⠤⣿⠀⠀⠀⠙⠹⡟⢾⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⣤⠞⠁⡼⢉⣿⣠⣤⡁⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⡇⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⡜⢹⠛⠛⡿⠛⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠒⠒⠶⠶⠶⡿⠀⠀⠀⠀⢸⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⡼⢀⠏⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⢰⠃⣸⢠⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠦⢤⣀⠀⡟⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⡿⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⣰⡇⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⠀⠀⠀⠀⣸⠃⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣄⢀⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⡄⠱⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢞⢄⠣⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢈⢎⢆⢣⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠊⣮⢆⢋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⢠⣿⣯⢢⢋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣸⣿⣿⢫⣆⢊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢂⣿⣿⡿⠀⠹⣦⢊⣿⣿⡿⠟⠛⠋⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⡇⣆⠀⠙⣷⠞⠁⢀⣤⣴⣶⣆⢠⣄⣀⡀⠈⠻⠟⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢸⣿⣧⡀⠁⣀⣶⣬⣽⣿⣿⣿⣷⣿⣿⣹⣶⣦⡈⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣼⣿⣿⢁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣇⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠇⣲⢶⡶⠸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣑⢹⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⢀⢰⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⣎⢠⡦⠄⢀⡉⠻⣿⣿⣿⠟⠛⠉⢉⣹⠙⢇⢢⣿⣿⣿⣿⣿⣟ ⣿⠃⠀⠆⠄⣠⢺⣠⡀⠀⠀⢂⠀⣿⣿⠇⠀⠄⠀⠀⠀⣼⡟⢈⢻⣿⣿⣿⣿⣿ ⣿⠀⣠⣴⣶⢋⢸⣿⣿⣶⢖⣫⠀⣿⣿⢀⢨⣲⢶⣶⣿⡏⠀⠀⠃⠋⠿⣿⡿⢿ ⣷⣾⣿⣿⡟⣼⡈⣿⣿⣿⣿⡿⢰⣿⣿⡄⠻⣿⣿⣿⣿⠃⣼⣿⣿⣿⣶⣶⣶⣿ ⣿⣿⣿⣿⡇⣿⡁⠘⣿⣿⣿⣧⡘⠿⠿⢛⣠⣿⣿⣿⣿⠀⢉⣭⣭⣭⣤⣴⣶⣶ ⣿⣿⣿⣿⣿⢻⣼⡜⢺⣟⣉⠥⠶⠿⡿⠿⠿⢙⢻⣷⠏⣴⠸⡿⠿⠿⠿⠿⠿⠿ ⣿⣿⣿⣿⣿⡼⣧⣿⣆⠻⣿⣿⡆⠛⢛⣶⣿⣿⠟⢁⣼⣿⣦⢠⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⢙⣿⣿⣷⡘⢿⣷⣿⣿⣿⠟⢁⣴⣿⡟⢟⣫⡀⠙⠿⠿⣿⡿⠿
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