Caballo Emojis & Text

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⠀⠀⠀⠀⠀⡤⠄⡀⡠⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠉⠉⠉⠉⠉⠁⠻⡄⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⡟⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠉⠑⠲⢤⠀⠐⠄⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⢱⠀⠘⡄⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⡇⠀⠉⠲⡄⠘⡄⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⡏⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⣀⡵⠀⠀⠀⢰⠁⠀⡇⠀⠀⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠒⠒⠒⠲⠵⠀⠀⠀⠀⠀⠀⠁⠀⢸⡠⠒⠞⠆⡀⠀⠀⠀⠀⢀ ⠀⠀⣠⠖⠁⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠆⠄⠤⡙⣢⣂⡄⠂ ⠀⡔⠁⠀⠀⠀⠀⠈⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢆ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠘ ⠀⣇⠀⠀⠀⠀⠀⠀⠘⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⢰ ⠀⠈⠳⣄⠀⠀⠘⠃⠉⠣⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢀⡇ ⠀⠀⠀⠀⠙⠲⢄⣀⠀⠀⠀⠀⢀⡴⠒⠉⠉⠉⠉⠉⠉⠁⠁⠁⣗⡶⠓⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⡉⠁⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠒⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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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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⠀⠀⠀⠀⠀⠀⠌⠀⡐⠀⠄⠀⠀⢂⠐⠀⠀⠀⡀⠀⠀⠀⠀⠂⠀⠀⠀⠄⠁⠀⠂⠄⠁⠀⢀⠀⠀⠀⠀⠐⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠄⢃⠒⢈⠠⢉⠩⢉⠁⢂⠐⡀⠀⠁⠂⠠⠈⠀⠀⠌⡀⢁⠂⠄⠀⠐⡀⠀⠁⠠⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⠂⠀⠀⠀⠄⠀⠀⠀⠐⠀⠀⠀⠂⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢀⠐⠀⠀⠀⠁⠀⠀⠠⢈⠀⠡⠀⠀⠂⠀⠠⠁⠈⠀⠄⠂⠠⠐⠠⠈⠐⠠⠀⠀⠀⠀⠀⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣄⢢⠀⠂⠄⡈⠄⢂⠀⠁⠠⠀⠀⠀⠀⠈⠔⠀⠂⠌⠐⡀⠐⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⠐⠈⠀⠠⠀⠐⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⢂⡀⠰⣀⠆⡡⢀⠔⡢⢡⠀⠄⡀⠀⠀⠠⠀⠄⠁⠀⢀⠂⠄⠀⠂⡐⠠⠀⠠⠀⠀⠀⠠⠀⡀⠂⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⢈⠐⠠⠐⠈⢀⠠⠁⠀⠀⠀⠀⠀⠈⠀⠁⠄⠠⠀⡐⠠⠀⠄⠈⠀⠠⠀⠁⠀⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠩⠞⠥⠊⠵⠪⠜⠠⢃⠞⡥⢃⠌⠒⠌⠐⡀⠂⠁⠀⠀⠀⠀⠀⠀⠠⠀⠄⠡⠀⠀⠀⠀⠀⠀⠠⢀⠡⢈⢁⣂⠀⡤⣘⣻⣿⡟⢿⡛⢟⠛⣡⢊⠄⢈⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠂⡐⢈⢾⣿⣛⣼⣿⣿⡿⣙⣮⡝⢪⢙⣼⣯⢖⠠⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣖⠚⢻⡉⠉⠉⠉⠙⠲⡾⠁⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠈⠳⣄⠙⡆⠀⠀⠀⣰⡇⠀⠰⡄⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣉⣀⣤⣄⣀⣀⠀⠀⠈⠳⣸⡴⠚⠉⢹⠇⠀⠀⢹⠀⢸⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⠋⠀⠀⢀⣀⣀⣀⣀⣈⠉⢒⡶⠋⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⡇⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣡⠴⠒⠋⠉⠁⠀⠀⠀⠉⢩⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⠇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠏⠀⠀⣠⠴⠖⠒⠒⡦⢤⣀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠆⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⠀⢰⠇⠀⠀⠀⠀⣿⣶⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⣼⠀⠀⢀⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⡆⠀⢸⠀⠀⠀⠀⣀⣿⡆⢹⡄⠀⠀⠀⠀⣀⣤⠤⠴⠿⠿⠃⢰⠇⠀⠀⣸⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⠀⠈⢧⡀⠀⠀⡿⠻⣿⣿⣷⠀⠀⢠⡞⠉⠀⠀⠀⠀⠀⢠⠏⠀⠀⢠⢇⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⡀⠈⠳⣄⠀⠀⠀⠹⣿⣿⠀⠀⠈⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢠⠏⡞⢸⠃⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⠉⠁⠀⠀⠉⠉⠒⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢦⡀⠈⠳⣄⡀⢰⣞⠁⠄⢠⡀⠀⠀⠀⠀⣀⡼⠃⠀⠀⢠⠏⡜⠁⢸⢀⣀⡤⠤⢤⣠⡴⠋⣁⣀⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⣀⠈⠛⠦⣍⠓⠦⠾⠤⠤⠤⢴⡟⡿⠀⠀⠀⡰⠃⡸⠁⠀⣟⣉⣀⣀⣠⣤⣬⣿⣯⣀⣀⣀⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣀⠈⠙⢶⣀⠀⠀⠀⢠⡿⠁⠀⠀⡼⠁⢠⠇⠀⢰⠏⠛⣶⠶⠒⠉⣉⡤⢿⡄⠀⠈⠙⢆⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⠀⠈⠳⣄⠀⢸⠃⠀⠀⡼⠁⠀⡞⠀⢀⡞⠀⠀⠈⠙⡿⠉⣀⣤⣏⡷⠀⠀⠀⠈⢧⠀⠀⠀⠀⠘⣆⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠈⢧⣸⠀⠀⢸⠁⠀⢸⠃⠀⡼⠁⠀⠀⢀⣾⠗⣫⡿⠻⢯⡇⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⢹⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡶⢲⠶⠦⣄⠀⣿⢦⠀⠈⢿⣇⠀⢸⠀⠀⡜⠀⢰⡗⠦⠤⠤⠾⠟⣺⠏⠀⠀⣸⠀⠀⠀⠀⠀⢀⡧⠀⠀⠀⠀⡿⠀⠀⢠⠃⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⢯⡀⠀⠀⣰⠇⠘⡄⠀⢸⠿⣆⢸⠀⠀⣇⠀⠸⡇⠀⣶⣤⣿⣿⡏⠀⠀⣠⡇⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⣰⠁⠀⢠⠋⢰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠙⠛⠛⠁⠀⠀⣧⡴⠋⠀⠘⢾⣆⠀⠸⡄⠀⠹⣆⢹⣻⡟⡏⢷⠀⠀⠘⠉⢷⡀⠀⠀⢠⡟⠀⠀⠀⡰⠃⠀⡴⠃⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⠶⠶⠖⠋⠁⠀⠀⠀⠀⢸⠛⢶⣄⠹⣄⠀⠈⠙⠋⢡⠇⠈⡇⠀⠀⠀⠈⣇⠀⢠⡟⠀⠀⢀⠜⠁⡠⠊⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠈⢻⠺⠷⠤⠤⣶⢻⠀⠀⢿⠀⠀⠀⠀⢸⣠⡟⠀⠀⣠⠋⡰⠊⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢀⡟⠀⠀⠀⠀⣿⢸⠀⠀⣼⠀⠀⠀⠀⢸⡏⠀⠀⡼⢣⠊⢀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⣸⠃⠀⠀⠀⠀⣿⡼⠀⠀⡏⠀⠀⠀⠀⣿⠀⠀⢰⢱⠃⠀⣏⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⢀⡇⠀⠀⠀⠀⠀⣿⠃⠀⢰⠃⠀⠀⠀⠀⢻⣄⠀⡇⠸⣄⠀⠈⠛⠛⠛⠛⠋⠉⣉⣀⣀⡈⠉⠓⢦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⣇⣀⣠⠏⠀⠀⠀⠀⠀⢸⠙⠳⠾⣤⣙⣦⣀⣀⣠⠴⠖⠛⠉⠁⠀⠀⠉⠙⠲⣄⠙⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣀⣀⣀⣼⠁⠀⠀⠀⠀⠀⣼⠃⠀⢿⣀⣀⣀⣀⣀⣰⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣸⣶⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠉⠉⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣀⡠⠤⣤⠶⠤⠤⢤⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡋⠀⣏⠁⣀⣸⡏⠀⢀⡤⠒⠋⠉⠙⠲⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡇⠀⠛⠉⠉⠉⠉⠙⠛⢤⡖⠒⠒⠂⠤⣌⠳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡒⠲⣄⣀⠀⠀⠀⢀⠞⡇⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢏⠉⠑⣄⠀⠑⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠈⢫⠳⡄⠀⡞⠀⡇⠀⠀⠀⠀⠀⢀⣤⠶⠤⡄⠀⢸⡄⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⠉⠙⢷⡀⠀⠀⠘⣴⠃⠀⢣⠀⢀⣀⣲⡖⢛⣷⠀⠀⡇⠀⢸⠁⠀⢠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠈⠳⢄⠀⠑⠄⡎⠳⣼⠀⠀⠘⣆⠈⠉⠙⣷⣾⣿⡄⠈⠀⢠⠏⠀⢀⠎⠀⠀⡸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠛⠒⠒⠤⠄⣈⠙⠢⣄⠀⣔⠒⠛⢢⡔⢧⠀⠹⣧⠀⠀⠈⢆⢀⠀⠛⠙⠊⠀⠀⠀⠈⣳⡤⠋⠀⢀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⣀⠄⠒⠀⠉⠀⠒⠛⠷⢤⡙⢮⡓⢤⣀⢧⡀⠣⠀⢿⢇⠀⠀⠈⢧⡉⢷⠒⢶⠶⡶⠛⢋⡝⠁⢀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⠜⠀⠀⣀⠤⠒⠒⠒⠒⠒⠒⠬⢵⢟⣡⣬⣟⠉⠒⠀⢸⡌⢆⠀⠀⠀⠱⣾⠀⢸⡞⠀⢠⠊⠀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⢸⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⡞⠈⢻⡾⠆⣉⠒⠂⠀⢷⠈⢦⠀⠀⠀⠘⢆⠀⡇⠀⡇⠀⣸⠁⣀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⢰⡇⠀⢸⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⢰⣿⣤⣾⣿⠷⠀⠀⠈⢧⠀⠳⡀⠀⠀⠈⣆⢱⣰⠀⠀⢻⡀⠀⣱⠈⢣⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠈⣆⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠘⣎⠉⠀⠀⢁⡞⠀⠀⡄⠘⣷⡄⠈⠢⡀⠀⢸⠀⠻⣄⠀⠀⠉⠉⠁⠀⣸⠀ ⠀⠀⠀⠀⠀⢸⣧⡀⠀⠈⢦⠀⠈⢣⡀⠀⠀⠀⠀⠀⢠⠖⠉⠃⠀⣠⡿⠛⠛⢻⠃⠀⠸⡎⢦⠀⠈⢦⢸⠀⠀⠈⠓⠤⠤⠤⠤⠚⠁⠀ ⠀⠀⠀⠀⠀⠀⣇⠱⣄⠀⠀⠱⣄⠀⠑⣄⠀⠀⠀⠀⡞⠀⠀⠀⡜⢱⠁⠀⠀⣸⠀⡄⠀⣧⠀⢣⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢦⡈⠳⣄⠀⠈⠢⡀⠈⢦⠀⠀⢠⠇⠀⠀⢰⠁⡇⠀⠀⠀⢻⠀⢧⣤⠃⠀⢸⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⠉⠒⠮⣦⠀⠀⠈⠢⡈⢧⠀⢸⠀⠀⠀⢸⠀⡇⠀⠀⠀⢾⠀⠀⠉⠐⣏⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡾⠭⢍⡉⠑⠲⠤⣀⡀⠀⠈⣷⠀⠀⠀⠑⣼⡄⢸⡀⠀⠀⠈⣇⢳⡀⠀⠀⠸⡄⠀⠀⠀⠘⣆⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠀⠀⠈⠙⠢⢄⡀⠈⠉⠉⠁⠀⠀⠀⢀⡼⠃⠀⢧⠀⠀⠀⣘⡾⠃⠀⠀⠀⠳⣤⣀⣀⠤⠼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠤⠴⠒⠊⠉⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⠿⠟⠻⠛⠿⠿⠟⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⡏⠄⢲⢁⠂⡌⢐⠡⢒⠈⣌⡰⠔⡚⠡⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠀⡂⢼⠃⢌⡇⠂⡔⠐⣂⢰⠬⡚⢁⠆⠡⡐⠡⢉⠔⣊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⡿⠊⢄⢂⠱⠀⢾⠡⢼⠠⠑⣨⢖⢕⠃⡐⢠⣡⠬⠒⠎⡩⢉⠂⡔⣀⠊⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠈⠱⣌⠂⠆⠌⡑⠠⡗⢸⠀⣃⡵⢁⠊⣰⠜⠍⠠⠌⣈⠐⠡⣈⣒⠐⠤⢈⡁⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⠀⡀⠀⠀⠑⢿⠈⠉⠉⠉⠉⠛⠲⠼⣀⢢⠟⡁⠌⣀⠃⢰⡤⢺⡉⠥⠉⣙⣦⣡⠄⢣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⡿⣧⠀⢡⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡘⡐⣠⣼⣫⣤⣴⣿⣾⣿⣿⣿⣿⡎⠄⡃⢾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢀⢿⡀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣇⠎⠰⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⠣⠈⠜⣇⠀⠑⡀⠀⣠⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡯⣐⠡⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⡎⢡⠈⠜⣆⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡾⣟⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣽⣿⣿⢇⠉⢗⡸⣽⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣵⢀⣊⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡇⠈⢻⣿⣿⣿⣿⣿⣾⢏⠞⠀⠈⢛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⣷⣿⣿⣿⣿⢿⠟⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⡿⠀⠀⠀⠘⠋⠹⡟⠫⠕⠁⠀⠀⠀⠀⢚⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠢⡘⢧⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠒⠂⢠⡿⣄⠀⠀⠀⠀⠀⠀⠀⢫⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡠⠐⠌⢧⡀⠀⠀⠀⠙⠻⢿⣿⣿⡿⠟⠉⠀⠀⠀⠠⠤⠴⡲⡝⢠⠘⣧⡀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣝⢄⠳⡠⢁⠊⠄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣔⠮⡊⠔⡡⣸⠡⢙⣦⡀⠀⠀⠀⠀⠀⠑⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣎⢣⡙⢆⡈⠤⠁⠜⢳⡀⠀⠀⠀⠤⠤⠤⠤⠖⠒⢺⠛⠩⠐⣀⠒⠠⣱⠣⠑⣠⣞⠟⢦⡀⠀⠀⠀⠀⢰⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠱⣌⠱⣆⠉⡄⠡⠘⠦⣄⠀⠀⠀⠀⠀⠀⠀⠸⣇⢃⠡⠄⠌⢢⣧⠶⠟⠉⠀⠀⠀⠈⠀⠀⢀⣴⣽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢈⠲⡈⠳⣌⠤⢉⠰⠈⠷⣄⠀⠀⠀⠀⠀⠀⠙⢧⣢⠼⠚⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⣮⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠐⡑⢆⠄⠳⣌⠢⡁⠆⡉⠷⣄⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⣀⢤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢦⢀⠉⠳⡐⢠⠓⣔⢂⠰⢀⠉⠷⣄⠀⠀⠀⠀⠀⠈⢻⢤⡤⢶⣮⣿⣿⣿⢿⣡⣦⣀⠙⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠘⢝⡈⢧⡈⠤⠙⣢⡒⢈⠳⣔⠈⠤⠑⡘⢦⡀⠀⠀⠀⠀⠀⢛⡆⣸⢿⣿⣿⣯⣿⣿⣿⣿⠈⠆⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡃⠀⢇⠀⠻⣄⠥⢀⡑⣆⠂⠌⡳⣂⠡⠐⣈⠳⣴⠀⠀⠀⠀⠀⢿⡸⡘⢿⣿⣿⣿⣿⣿⡟⢈⠐⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⡀⠘⡄⣰⠟⢦⡂⡔⢈⢮⠐⡄⡙⣆⠥⢀⠡⠹⣧⠀⠀⠀⠀⢸⢇⢇⢂⠙⠻⠿⠿⢋⠐⡀⢺⣽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⢠⡟⠁⠀⠀⠳⣌⠂⢂⢳⠠⠁⠌⢧⠊⠰⠁⢻⡆⠀⠀⠀⠈⢼⠸⡌⠂⠡⠘⠠⠃⣢⣼⣿⣿⣿⣿⣿
⡯⣝⢎⢧⣃⠷⣈⠳⣌⠲⣡⠣⡜⢢⢅⠳⣌⠲⡡⢎⠴⡱⢌⢣⡱⢣⠜⡤⢣⢉⡒⠤⢂⠴⢀⠆⠰⡈⠔⠠⠂⠔⠠⠀⠄⠄⠠⠄⠰⠠⠄⠰⡀⠆⠰⠀⢆⠰⢀⠂⠔⡀⠂⠔⠠⠂⠔⡠⠂⡔⠨⠔⡩⢌⡱⢋⡖⠭⣎⡱⢭⠭⡭⢭⠭⡝⣭⠯⣝⢯⡝⣯⡝⣯⢻⡝⣯⡝⣯⢻⡝⣯⠿⣽⡻⣽⣻⣟⣿⣿⣿ ⣳⢚⡮⢖⡡⢞⣡⢓⠬⡑⢆⡓⣌⠣⡌⢣⢌⢣⠑⣎⠰⡡⣎⠱⡎⣅⡊⠔⡡⢂⠔⣡⠂⡐⠊⠤⠑⠂⠜⡀⠒⡀⠃⢈⠂⠘⠂⠌⡁⠒⡈⢁⠒⡘⠄⢋⠐⢂⠢⠘⠂⠔⡉⠒⡑⠌⠒⡐⠃⡐⠓⠌⡐⢢⠑⣡⠚⠳⢤⣳⠎⡣⢟⣮⢷⡙⢦⡛⡼⢮⡝⣶⢻⣜⡳⣽⢲⡻⣼⢫⢾⡭⣟⣵⣻⢳⡽⣞⡷⣿⣿ ⢧⣛⡜⣧⡙⢦⣹⡌⢎⣹⢦⡑⢆⣿⢓⡃⢎⠆⡭⢄⢣⡑⡧⠾⡡⣗⠨⡑⠤⡉⢆⢰⢂⠡⡉⠤⢁⠊⠔⢰⠐⡀⠌⡀⢂⠡⠘⠐⡀⢃⠐⠂⠂⡔⢈⢂⠘⡀⠆⡑⢈⠂⠔⠡⠐⡈⠒⡀⠃⠄⢃⠚⢠⢃⠚⡐⣌⢓⣢⢼⡘⣗⡮⢹⠦⣽⢳⡹⣜⢧⣻⣜⡳⢮⡝⣮⢳⡝⡾⣭⣳⢻⡼⢾⡵⣯⢿⣯⣟⡷⣿ ⡳⣜⢎⡿⣘⣿⠿⣏⡶⣹⡿⣼⣾⠿⣴⡘⠤⡚⠤⣉⠦⡰⢑⢚⡇⣯⠰⢡⠚⡐⠎⡸⢂⠡⠐⢌⠠⢊⡐⢨⠆⡀⢐⠠⠐⠂⠁⢂⠈⠠⠀⡁⠡⢀⠂⢄⠈⠄⠐⠐⡀⠉⠀⠄⠑⠀⢂⠐⡁⠈⠄⡈⠄⠢⢁⠒⡠⠒⡇⣾⣇⡽⢧⣍⢻⢺⣧⢷⡹⢾⡼⢮⡝⣧⢻⡜⣧⢻⡵⣳⡭⣷⢻⡽⣞⡷⣟⡷⣯⣟⣿ ⡳⢭⡚⡴⣙⢧⣟⣦⣷⣿⣷⣿⣹⣆⡿⢟⡰⢡⡚⢄⠟⠧⣙⢩⠰⡉⢯⡁⠎⣭⠋⢭⠉⢷⠓⠆⡁⢶⢡⡘⠐⢀⠂⠄⠂⡁⢂⠀⢂⠁⠂⠐⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠈⠀⠈⠐⡀⠁⡀⠐⠀⠌⡐⢁⠂⠡⠀⣿⣧⢣⣻⣿⡭⡽⣾⣿⣍⢾⡱⢯⣿⢣⣟⣾⣏⡿⣜⢧⡻⣵⢻⡼⣳⢯⣟⡿⣽⣫⢷⣻⣾ ⡱⢣⡝⢲⠍⡾⣩⡷⣿⣿⣿⡿⢤⣷⢼⣆⡲⠥⣟⡚⣎⠷⣈⣆⢣⡓⡲⠝⣢⢓⣎⡼⡙⡎⢶⢈⠰⣆⠀⣳⡄⢸⣄⢀⠁⢠⠄⠈⠄⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⡀⠄⠠⠈⣠⠵⣨⠧⡬⣓⣤⣃⢿⡿⣏⣜⣦⣹⢻⡞⡿⡼⣭⣻⣝⣮⢏⡷⣭⢷⡻⣵⣿⢾⣽⣳⢯⣿⣽⢾ ⡱⢣⠜⣣⢋⠴⣩⢞⡿⠴⠼⣻⡾⣿⠾⣾⢿⣶⣾⣷⣾⣿⣿⣾⣾⣷⡿⣷⣶⣿⣾⣶⣓⡿⡼⡖⣔⡾⢶⡺⢧⡒⠮⡼⠆⢈⡼⡀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠄⠀⠠⠙⠁⢁⣧⠗⣳⣿⢷⣿⣿⣿⣿⣽⣷⣿⣿⣿⣷⢿⣶⡿⣽⣎⣯⣽⢧⣏⣷⢿⣽⢯⣿⣯⣟⡾⣽⣻ ⠱⣃⠞⡤⢋⡜⡰⢋⠴⣉⠖⡽⣳⢏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⣷⡗⡞⣳⠰⡠⠷⣥⣈⣆⠄⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢂⡐⢀⠂⠄⢲⣤⠽⠄⡄⣒⣲⡞⣼⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣞⣿⡾⣹⡞⣽⣿⣿⣳⢾⡽⣟⣿ ⠓⣌⠚⡔⡩⢔⣡⣋⡴⢡⢺⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣯⣉⡷⡰⣊⢡⢸⠌⠠⠀⠄⠀⠀⠀⠀⠀⠀⠠⢁⠂⣗⠠⢂⠡⢒⡈⢆⣞⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⢿⣿⣽⡿⣯⢿⣽⣻ ⠱⣈⠧⡘⡵⢢⢶⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣎⣿⣍⢰⣅⡄⠂⠄⠂⠄⠠⢁⠚⡠⢏⣧⣏⢯⡙⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣽⣻⢾⣿ ⡑⠤⣊⠵⡭⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣆⣻⣮⡝⢸⠲⠥⣅⣺⣰⣹⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣽ ⢀⠣⢔⢫⢞⡽⣾⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠯⠿⠽⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣯⣿⡿⣿⣿⡔⢯⡒⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⡿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⢀⠎⡸⢌⣏⡾⣿⣿⣿⣷⣿⣿⣿⣿⡿⢟⡿⣟⠻⣛⠟⡛⠠⠘⡲⠄⠀⠙⠆⠈⠁⠀⠈⠂⠠⠌⠋⢿⣉⠟⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡿⣿⣿⣹⢿⡜⡩⠣⠝⡿⢻⡿⣿⣿⣿⣿⣿⣿⢿⣻⢿⢿⣻⣟⡿⡱⣏⢿⡻⡙⢇⣊⢴⠀⣁⠠⠁⠀⠂⠌⣱⡛⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⢊⡕⣾⣔⣻⡿⠿⢿⠛⣏⠻⣝⡮⠟⡉⢍⠡⢃⠩⢂⠔⢂⢀⠈⡉⠁⡈⢙⠀⠀⠀⡀⣀⣰⣸⣑⣦⣯⣽⣿⣟⣿⣗⣧⣟⣻⣿⢫⢷⣯⡟⡽⣋⣿⡹⢓⢣⣁⣫⣵⡏⣹⡧⢿⣿⣽⢷⡿⣏⣿⣾⣹⢫⢿⣲⢽⣍⢦⠱⣜⢢⣉⢬⠡⠉⠍⡹⣛⣉⣶⣤⣉⠲⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢠⠡⠆⡿⣟⢻⡾⣏⣣⠩⢄⢫⠐⡠⠅⡐⢂⣡⣧⣺⣶⣼⣾⣾⣷⣾⣧⣶⣴⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣳⣾⣟⣿⣿⣾⢷⣿⣧⣯⣿⣷⣽⡌⢢⢩⣽⡝⡌⣷⣿⣿⣿⣳⣿⣿⣿⣽⣯⣿⣯⣿⣿⣾⣷⣿⣾⣷⣿⣾⣥⣫⣴⣥⣷⣷⣶⣰⢢⡝⣘⢦⡛⡷⢷⣎⣿⢯⡝⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠣⡑⡰⢸⢇⡴⢂⠒⢇⠨⢂⡱⣢⣽⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣷⣿⣧⡾⡇⡡⢆⣽⢷⣬⣻⣟⣿⣽⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣼⣷⡾⣧⢟⡾⣽⢺⡽⣻⣿⣿⣿⣿ ⢀⠣⡐⢅⠣⢠⠐⡌⢂⡆⣵⣏⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠈⠑⢉⣟⣿⣻⢿⣿⣿⣿⣿⣟⡿⣿⡟⢿⣩⠆⡓⠰⡁⠎⡘⢿⢿⣿⣧⣻⣿⣿⣟⣿⣿⣽⣿⣿⣿⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡿⣜⣮⣳⣯⣟⢿⣿⡽⣾ ⠀⢆⠱⢨⠘⡄⢊⡇⣤⣿⣾⣿⣿⣿⣿⣿⣿⣿⣣⣜⢣⡚⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⢈⡽⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣞⡳⣌⠰⠡⠜⡠⢉⠼⢾⣿⣹⣿⣿⣿⡿⣿⣻⢯⣿⣿⡟⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣳⣞⣻⡯⣝⢾ ⢈⠆⡘⢄⠣⣘⣸⣿⣯⣿⣿⢿⣿⣿⢿⣿⡿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⡤⣤⣤⣶⣶⣿⣿⣺⣿⣳⣯⢟⣽⣿⣏⣿⣯⡷⣿⣿⣷⣺⡅⡅⠒⡄⢣⢸⢯⣿⣽⣿⣿⣳⣿⣟⡿⣫⣿⣿⣥⣀⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⢫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⢿⡹⣞ ⠠⢘⠐⠌⡒⠤⡘⠗⡛⢿⠏⡫⠑⢎⠓⣌⠳⣟⢾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣳⡬⣙⠛⡻⢝⢯⣯⠶⣌⣿⣿⣿⣿⣿⢯⢿⣿⣿⡽⣷⣿⣿⣿⣿⣿⡳⣬⡕⢬⢸⣧⣿⣿⣿⣿⣿⣟⠾⣯⣷⣳⢿⣻⣯⢿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣻⢼ ⠐⢈⠐⡈⡐⠡⢀⠃⡌⠐⠠⢁⠩⠂⡌⠄⢃⠰⡈⠍⡷⢮⣙⠓⣎⠒⡡⢂⡙⣒⠷⠷⢦⡁⠒⢬⡰⡜⣶⣆⣿⣿⣿⢮⡽⣏⣿⣿⣾⣿⣿⣿⣽⣿⡿⣿⢕⡚⠿⣔⡮⠱⣽⡧⣏⣿⡾⣿⣿⣿⣻⣿⣻⢿⡴⣧⢻⡞⡿⡿⢿⣻⡿⣿⢿⣏⠟⡿⢿⣿⣿⣿⣿⠿⡿⢿⣻⣛⡟⣻⡟⣿⢻⡿⣿⣻⣽⣻⣯⣳⢏ ⠈⢀⠐⠀⠌⠄⢈⠐⠀⡁⠂⠌⠠⡁⠰⢈⠂⣡⡇⡣⣏⢢⡉⢞⣻⠿⣟⢫⡙⣾⣤⠧⣾⡧⣽⣲⣷⣿⣾⣿⣿⣿⣿⡿⣿⢿⡿⣿⢿⣻⢻⣿⣾⢯⣗⣻⡇⣟⡐⣻⣖⡙⣿⣿⣯⡿⣿⣻⡿⣷⢻⡿⢿⣿⣶⣻⣧⣿⣲⣍⣯⣿⡙⣜⠲⣏⡎⣗⣧⢎⡽⣩⣜⣻⡿⢇⡗⢮⡵⢧⢻⢬⠳⣽⢻⣯⣿⣿⣻⡵⣫ ⠀⡀⢈⠠⠈⠐⠀⠂⠡⢀⠂⠌⡐⠠⢁⠂⡑⣖⡏⡙⣹⣰⡘⣼⢻⣰⢸⡛⣭⣿⡦⢓⠴⣟⣹⣽⣿⣿⡿⡽⣏⢯⡻⣽⢿⣯⢿⡽⣟⣿⣯⢿⣟⣯⣷⣿⣹⣹⡖⣿⢽⡆⣹⡿⣽⣿⣿⠵⣟⣧⡟⡼⣏⢿⣹⣯⢟⣿⣷⣾⣶⣿⣯⢿⣻⣯⢷⡷⣟⣟⣻⢫⡾⢧⣛⠾⡼⣳⢻⡝⣳⢾⡻⣽⢳⡼⣷⣟⣻⡜⣧ ⠀⢀⠀⠀⠂⠈⠐⡀⠂⡀⠄⠠⢀⠡⢂⠡⠄⡽⣆⢩⡗⢢⡑⣆⢣⢲⢥⢛⡿⣼⡱⣋⣾⣿⢽⣾⣿⣯⡽⣿⣛⣯⣿⢞⣿⠽⣿⣹⢻⣼⣷⣯⣯⣟⣾⣽⣹⡏⡥⣋⢭⣱⡯⣟⣿⣷⣿⣿⣻⣧⢟⡽⣎⢷⡳⣏⡟⣿⡽⢾⣻⣟⣯⣿⣏⡟⣿⡾⢿⡽⣧⢯⣿⣻⣭⡿⣵⣣⣗⣺⡥⣯⣽⣛⣧⢻⡖⣯⢷⡹⢎ ⠀⠀⠠⠀⠁⢈⠀⠐⡀⠀⠆⠐⡀⢃⠐⢸⠐⠤⣏⣾⣌⡡⠷⣈⠦⣻⢌⣣⣿⢳⡱⣟⣾⣽⣒⣎⡖⣹⡶⣧⣋⣿⣾⢿⣯⣛⣿⣳⣿⣿⣾⣳⣿⣯⣿⣿⣾⠓⡧⢸⣶⡟⣺⣿⣻⣿⣾⣷⣭⡷⣏⢾⣹⢾⣳⣯⢞⡵⡻⣝⣻⠿⣏⣿⣾⣽⣿⡻⣟⡽⣿⡞⣷⡿⣽⣻⢵⣳⢻⡷⣝⡧⣏⢿⣜⣯⢻⡜⣧⣝⣫ ⠀⠀⠐⠀⠄⠂⠠⢁⠠⠀⡄⢀⠐⢢⠌⠠⠌⡒⢃⠌⢢⠑⢢⡑⢢⡱⢬⣝⠾⢦⠽⣋⠹⣌⢋⠟⣛⡽⢶⣻⣭⣿⣿⣿⣧⣭⣷⡿⣏⡗⢧⣛⣿⣾⡟⣿⢻⠳⡌⣽⣚⣱⣟⡣⣾⣿⡷⣿⣷⡿⣹⢎⣿⡳⣽⣮⣿⡾⣱⢏⡾⣹⢎⡷⣳⠾⡶⣿⣿⢻⣳⠽⣞⠿⣿⢽⡺⣵⣻⠼⣏⣾⡹⣾⢯⣟⣯⣽⠶⣭⠶ ⠀⠀⠐⠀⢂⠁⠂⡄⢁⠂⠔⡈⠰⠀⡌⢐⠰⠈⠄⠊⠤⢉⠢⡘⠤⡘⣄⠣⠜⢂⢃⠄⠣⠔⠮⠘⡄⠧⣭⣿⡌⡧⣽⣿⢿⣷⣟⣞⣥⣛⢧⡿⣷⣺⡟⣿⡿⢗⣊⠕⡩⢋⡾⣱⢗⣯⢳⣿⡻⣷⢫⡟⣶⣻⡵⣏⣷⡿⡱⢏⡞⡵⢫⢞⡱⣏⡗⡳⣎⣷⣻⡝⣮⢻⡜⣧⢻⡵⣫⢟⡵⣞⡳⣽⢺⣜⢮⣿⡹⣎⣟ ⠀⠀⠐⠀⠠⢈⠔⡀⢂⠈⠄⡐⠠⠡⠐⡈⠄⡉⠄⡉⠤⢁⢢⠅⢂⣁⡂⣌⠘⡠⢈⡐⡁⠎⡐⠡⠐⠂⠼⣛⠳⢿⣿⣷⣿⣟⣻⣞⣷⣾⣭⣟⣷⣿⣿⣿⢿⣏⡧⢊⡱⣘⣧⣯⣾⣧⣻⡷⣿⣟⣧⢻⢾⣳⢏⣛⠿⣳⣭⢯⣼⣙⣯⣭⣻⣯⣚⡵⢪⠷⣌⡳⣍⢧⣛⡜⣧⡹⢧⣛⢾⣱⢻⣜⣳⢞⣳⣎⢷⡹⣎ ⠀⠀⠈⢀⢃⠈⢄⠰⠀⠌⡐⢀⠃⡁⠆⣁⠂⡡⠐⡐⢂⠂⢂⠘⡠⢁⠒⡐⠂⠄⠁⡀⠆⠐⠈⠁⠂⠁⢒⣠⣡⣿⣿⣿⣿⡾⣿⣿⣟⣯⡷⣿⣿⣻⣇⡽⣩⠮⣵⣃⣔⣰⣓⡯⣿⣿⣯⡿⣿⣜⣳⢯⣛⣷⣿⢾⢣⣟⣞⣿⠲⠿⠚⢾⢹⡶⣟⣼⣩⡟⠴⣣⢏⠶⡱⢞⡥⣫⠳⣝⢮⡳⣏⢾⡱⢯⡳⣞⢯⣳⠽ ⠀⠀⠀⠆⣀⠈⡀⠆⠁⠶⠈⡀⠆⢰⡆⣀⠰⠀⡀⢁⠰⠾⠀⢁⠰⠆⠰⢀⠈⠀⠁⠀⠀⠆⠀⡀⠁⢁⡿⣸⣹⣿⣿⣿⣿⡿⣹⣿⣹⣿⣷⣿⣿⣿⣿⣿⢁⣆⡉⣱⢏⣏⡿⡉⡿⢿⣿⣷⢿⣾⢿⡏⣿⣹⣿⣿⣷⣿⢸⡉⠰⣈⣱⣎⠿⢏⡿⠱⠷⣿⡎⣱⠎⣷⠹⣎⣸⢱⠿⣸⢇⡿⣸⢇⡿⣉⣷⢹⡾⣱⢿ ⠀⠀⠈⠀⠄⠂⠌⡐⠡⠈⠄⠡⢈⠡⠀⠄⠠⠐⠀⠂⡐⠄⠁⢀⠂⠐⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⢠⡖⡩⣹⣿⣯⢿⡿⣳⢿⠷⣧⢿⣒⣿⡟⣿⣿⡇⡈⠸⠃⠈⠁⠀⠉⠀⠤⡉⢼⣿⡿⣿⣿⣿⢺⣽⡿⣵⣟⣿⣿⢸⠓⠧⢤⡴⠊⠁⢲⡴⠗⢣⡽⣿⣹⢾⠴⣯⢔⡣⢏⡞⣥⢛⡼⣣⢟⡼⣳⢞⡭⢷⣫⢟ ⠀⠀⠀⢈⠐⡈⢄⠠⡁⠌⡀⢁⠄⠂⠡⢈⠀⠌⠠⢀⠀⠄⠈⡀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⢡⣿⣿⣿⣻⡝⣽⢯⢿⣒⣿⣼⡟⡽⣿⣿⡷⠱⢀⠀⠀⠀⠀⠐⢀⠂⡶⣚⠾⣷⣿⣯⣿⢫⢿⢿⣿⡿⣿⣿⣿⣤⠁⠄⠁⢀⠱⠀⢀⠉⠛⣽⣾⠿⣚⣿⣞⢫⡜⣣⠞⣴⢋⡞⣥⢻⡜⣧⣛⣞⡳⣭⣻ ⠀⠀⠀⠀⠂⡐⠀⢂⠐⡐⠀⢂⠀⢁⠂⠄⠂⠐⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⢽⣚⣧⣚⡖⣻⢾⡞⣷⡱⣛⣶⡟⣷⢦⡌⠂⠐⠠⠁⢌⢋⡗⣛⣶⠳⡞⣻⡖⡻⣿⣞⣫⡝⢯⣿⣹⢷⢞⡀⡆⠀⠀⠀⠀⠂⠁⢀⠘⢂⡏⢲⢞⡷⢞⡗⡞⢣⡹⢜⣎⢳⢞⡱⣞⡼⣹⢧⣳ ⠀⠀⠀⠀⠡⠀⡁⠄⠂⢄⠈⠄⠂⠄⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢻⡿⣽⣯⢿⣯⡷⣯⣞⣱⢎⡵⣮⡷⣿⣿⣷⣿⠞⡣⠅⡎⡰⡍⢌⣲⣯⢼⢳⡵⣟⣿⣝⣱⣟⡷⣎⣿⡖⣿⡽⣻⡞⣷⡥⣤⢤⠀⠄⠢⢈⠠⠈⠄⢿⠸⠜⢇⡛⣗⡮⡱⠜⡮⣜⢣⡞⡵⢮⡵⣫⢞⡵ ⠀⠀⠀⠀⠁⢂⠀⠌⡐⠠⠈⡐⠀⠈⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠢⣄⡗⣫⡿⣿⣿⣻⣖⣭⣷⣟⣾⢿⣮⣷⣻⢟⣿⣿⣏⣿⢧⡱⡐⢽⢸⡟⣞⣿⣯⡻⣜⣧⣛⣼⣳⢿⡹⢾⣱⢯⡿⣿⣏⠷⣍⣗⡚⢦⠓⣈⡈⡄⠠⢁⠨⣀⠛⣸⠢⠜⣧⡷⡱⣙⠲⣍⡞⣼⣱⡓⣞⡵⣫⢞ ⠀⠀⠀⠀⠄⠂⠌⡐⠠⢁⠂⠄⠀⠂⠁⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢂⢁⠂⡄⠄⢂⠂⠔⣉⠫⢽⣿⣿⣏⣿⣿⣾⣧⣿⣯⣿⣿⣿⣻⣺⡖⣏⢿⣚⣾⣯⡷⣟⣿⣷⣳⡿⣾⢾⡝⣾⣛⡿⣙⠶⣯⡽⣼⢯⢾⡟⣽⣼⡗⣧⣳⡳⣄⡂⠐⢄⠣⢘⠇⡚⢤⣱⠱⣌⢳⡾⡝⢦⣣⡝⣞⡼⣣⢟ ⠀⠀⠀⠀⢀⠘⠠⢀⠁⠂⠠⣀⠁⡐⠂⢀⡐⠠⠀⡀⠁⠀⠀⠀⠀⠀⡀⠄⢈⠀⡀⠂⠌⠂⡔⡈⢌⢂⠩⡘⢄⠓⣸⢈⡟⡭⣷⠷⡞⡍⣯⣽⣻⢿⣯⣿⣼⣿⡬⢧⣯⣽⠳⣜⣫⣟⣾⣳⣛⣞⣟⣺⠵⣻⢼⣹⡞⣟⣳⣧⢮⣟⡇⢎⠼⣏⢷⡝⣦⣍⡣⣴⠺⣡⠚⣜⠘⣦⢣⢓⡼⢺⡱⣙⠞⣴⡟⣼⢳⡹⣞ ⠀⠀⠀⠀⠂⡀⠁⠄⠌⡀⠃⠅⠂⠤⠈⢄⢀⠂⠡⡀⡁⢂⠐⡀⢂⠡⠐⡈⠄⢌⠠⠑⡈⢁⠆⡘⢄⠊⢆⠱⣈⠒⡌⢓⣞⡷⡏⠦⣱⢊⠴⣉⡏⡛⢿⣿⣿⣯⢽⢫⣍⢻⣗⣬⣏⣭⡫⡕⣯⢽⡾⣹⣧⢓⠾⣸⠧⡽⣿⣸⣗⣮⠟⢮⣒⡽⢶⣿⠡⢆⣳⣈⢥⢵⢎⡼⣩⢖⣻⣞⢣⣇⠳⣭⠾⢾⣹⡜⣧⢻⡼ ⠀⠀⠀⠀⠀⠐⠈⡀⡐⠠⢁⠌⡘⠠⢁⠌⡠⠘⡀⠡⢀⠌⡐⢀⠂⠤⠁⡔⢈⠄⢢⠡⡘⢠⢂⠱⢈⡘⢄⠣⢄⠣⡘⢄⣻⡖⣿⣩⢥⣯⣾⢍⠢⡑⢢⠐⡶⣹⣞⡗⠯⠽⠬⣗⣭⣲⣽⣿⣿⡜⡾⠷⣯⢟⣻⣽⢯⣿⢒⣥⣞⢾⣫⣞⣲⣾⢛⣬⡷⣢⣎⣝⢺⣞⣾⢻⡰⣏⠽⣇⡳⣬⢻⡔⣯⢿⣧⢻⡜⣧⢟ ⠀⠀⠀⠀⠀⠀⠐⡀⠌⡐⠌⡐⢠⠃⡆⢒⠠⡑⢠⢁⠢⠘⡐⠂⡜⢠⠉⡔⢨⡐⢡⠆⡑⠢⢌⠢⢡⠘⡄⠣⢌⠒⣡⠆⣌⣧⡻⣍⡣⠐⢻⡂⠱⢈⠄⠻⠛⢄⢊⠛⣛⣊⡔⢢⡗⢳⣲⡦⣽⢚⣵⢋⣷⠞⡳⣎⢦⡙⣞⣞⣼⣻⢶⢾⣝⣮⢧⢷⣙⣷⡮⢽⢻⡶⡾⢭⡻⣽⡾⢷⣓⠮⣧⢻⡝⣿⢧⢯⡝⣮⢻ ⠀⠀⠀⠀⠀⠀⡐⢀⠢⠐⡐⡈⢴⢰⢆⣡⠂⡅⢂⠆⡌⡑⢄⠣⣐⢂⠱⣈⠲⣌⢢⠱⢌⢳⣌⣵⣬⣵⣌⣷⢨⣜⢯⣐⢤⡏⢹⣉⡷⡈⢌⣷⠡⠈⢌⠠⢉⠠⠆⣉⠰⠠⠌⠄⡏⠰⣈⢵⣏⡿⣼⠭⣮⡛⡜⡍⡖⠯⣏⢿⡾⡿⣏⣻⢞⣽⣮⣿⡽⣼⣝⣯⣿⡹⣝⢧⣻⣭⣛⠷⣭⢳⣭⢳⡝⣮⣛⢮⣝⢾⣹ ⠀⠀⠀⠀⠀⠀⠌⡀⠆⡑⠰⠐⡂⢛⡒⢧⡘⢠⡃⢌⣲⣬⣔⡲⣀⠎⡒⠤⡙⢴⡲⢷⣚⣷⢲⡚⢖⣷⣞⣾⣓⢲⢏⡷⣋⡍⣶⢿⡃⡔⢺⡜⠀⠌⠀⢂⠀⠢⠐⣀⠢⠑⠌⢂⡯⠑⡌⢚⣭⢋⣼⢹⢸⡟⡴⡙⣜⣛⡿⣻⢝⣳⣟⣿⢺⣛⣟⣾⡱⣏⣟⡳⢶⡻⣜⢧⣛⡶⣛⡟⣞⡳⣞⡽⣺⢵⣫⢞⣮⢳⢯ ⠀⠀⠀⠀⠀⠀⠂⡐⠂⠥⠑⡨⢐⠳⣈⠖⡨⠗⣩⢣⣞⣰⢂⠖⣥⣚⣰⡱⣘⡯⠽⢯⡭⣯⢦⣽⢾⢻⣱⣚⡮⠜⡯⣯⢻⣯⢽⢾⠳⠞⡭⣉⢌⣉⡩⣄⠌⡠⠡⢀⠂⡅⢊⡟⠧⣵⢾⣒⢾⡹⣲⢳⠾⣏⢷⣯⠶⣭⡷⡭⢷⡾⣿⡽⣳⢯⡾⣳⣛⣮⡿⣝⣯⢷⡹⢮⣳⢽⣣⢟⣭⢷⡹⣞⡵⣏⢾⡹⣎⡟⣾ ⠀⠀⠀⠀⠀⠀⠁⡀⠉⢄⠃⡔⢡⠊⡔⢪⠘⡜⠤⠻⣼⣾⣯⣿⣾⣻⣿⣿⣭⣽⣍⣧⣽⣟⣦⡿⣜⣳⢷⣹⣭⣻⣿⣟⣷⣹⡾⢯⢿⣟⣭⡝⣞⣎⡳⣜⣒⡖⡛⢶⢶⣚⣦⡶⡟⢺⣽⠶⡟⣿⣻⣬⠷⣬⠷⣼⡝⢮⡗⣯⣟⢿⣟⣷⡹⣷⡿⣱⣯⢶⣻⣽⣮⢯⡽⣫⢗⡯⣞⡽⣎⡷⣻⣜⣳⡭⢷⣫⢗⣻⡵ ⠀⠀⠀⠀⠀⠀⡐⢀⠁⣂⠘⡐⢂⠅⢢⠡⠚⡄⠧⡙⢿⡻⣿⣿⣿⢻⣿⣿⣿⣽⣿⣿⢷⣿⣶⣿⣿⣿⡿⣟⣧⣷⣻⣽⣶⡿⢿⡿⣿⢿⣿⡻⡽⣿⣽⣿⣽⣿⣿⣿⣿⣻⣿⡷⣿⢿⡾⣭⣽⣾⢿⡽⣿⣿⣿⣿⣿⣿⢿⣽⣯⣿⣾⣾⣿⣿⣟⣿⣟⣿⣯⢿⣽⢷⣻⡵⣻⡜⣧⢻⣜⡳⢧⣛⡶⣻⢽⣣⢟⣧⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠌⡀⢂⢅⠊⡌⠰⣈⠁⠆⢡⠘⢠⠑⢢⢻⢿⣽⢢⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡽⣷⡿⣯⢿⡞⣽⣿⣳⣿⣧⠿⣿⣾⣿⣟⣯⣭⢽⡿⣿⡭⣟⣽⡷⣟⡾⣽⢯⡿⣟⣷⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⡾⣝⢧⡻⣜⢯⡞⣽⢫⢷⡹⢧⣛⣮⢻⣜⣳ ⠀⠀⠀⠀⠀⠀⠀⠠⠈⠄⢂⠌⢒⠈⡅⠰⡈⠜⠠⠌⡂⢍⢂⠣⠎⠤⠩⢍⠫⢍⠻⡽⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢟⣷⡿⣽⣺⡽⣞⣽⣳⡟⣎⡻⣿⢋⢿⡜⢦⠭⢽⡰⣷⣟⣟⣾⣽⣿⡽⢾⣯⣟⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡷⣿⣻⢭⣻⢟⢮⠷⣙⡮⣝⢮⣛⡮⣽⢳⡝⣮⢗⣮⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠢⠌⠒⣈⠡⡐⠌⣁⠂⡑⠂⡌⢢⢉⢸⠡⢎⠱⢊⡱⢄⠣⣾⣩⢛⣿⡿⣿⣿⣿⣷⣯⣿⣞⣽⣷⣯⢾⡽⣿⣏⡿⣏⣿⣿⣹⣺⣭⠾⡉⡍⡹⣧⣿⣞⣼⣷⣿⣽⣻⢶⣻⢞⡿⣾⣽⣿⣿⣿⡿⣿⢿⡿⣿⣿⣛⣧⣛⡶⣹⢧⣻⢞⣻⢎⠷⣋⢷⡹⣎⠿⣜⡳⣭⣳⢻⡜⣯⢞⣭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢀⠒⢌⠡⡐⢂⠡⠒⣀⠂⡇⡑⢠⠃⣌⠢⢍⠢⢍⣂⠒⣌⠒⣽⡸⣇⣻⣙⠽⡻⣿⣛⢿⣶⡹⣮⠿⣭⣛⣿⣽⣺⡱⢎⣽⣿⣿⢿⡤⢇⠒⡰⠡⣟⣿⣿⡽⣿⣿⣳⣿⣻⣷⡻⣿⢯⣯⣷⠿⣶⣹⣟⣳⣽⢺⢧⣋⢶⡹⢞⣽⣳⣟⠮⣽⢎⠷⣽⢞⡵⣎⠿⣜⡳⢧⣏⢷⡹⣎⠿⣜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠄⢂⠡⠌⢂⠡⠄⠒⡐⢈⠄⡊⠤⢙⢢⢉⠖⣨⠑⠦⡹⠵⢧⣿⠭⣭⠳⢿⣴⡻⣮⢖⡫⠵⡛⢿⣻⣷⣿⢱⢛⣾⣻⠿⡀⢆⡗⢠⢃⢔⡡⢛⣏⣿⣷⢿⡿⢟⣻⢿⣷⢿⣯⣷⣷⣏⠿⣴⢫⣿⣯⣻⣟⢦⡝⣦⠻⡜⢦⢳⢬⣛⡜⢮⡝⣞⢯⢳⣎⠿⣼⣹⢳⢮⡳⣝⢮⡻⣌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠌⠐⠠⢘⠠⠡⠈⠆⠡⠌⢠⠑⡌⠜⡰⡈⠞⣠⢙⢢⠱⡉⢆⣿⡘⣤⢛⡲⢯⢱⣽⠬⠵⠭⢟⢫⡵⡬⠞⡭⣷⣾⢳⡜⡈⠦⢈⠇⡚⢿⣐⠣⣏⣽⢾⣣⡿⣏⡶⢮⠸⣽⣯⢷⡽⣟⡺⣜⣣⣏⡯⣽⢭⣯⡿⡲⢭⣙⢮⢣⡗⣎⢞⡧⢻⡜⣏⠷⣎⡟⡶⣭⣛⢮⣳⣝⣮⡕⢢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⣁⠂⢂⠡⢁⢊⠰⢈⠂⠥⢘⡘⢄⠣⡑⢆⠪⠔⢣⡉⢦⠘⡴⠡⢆⡱⢌⠻⣸⣳⡚⢢⠑⣚⠢⡑⢚⡞⣈⠂⡋⠔⡁⡊⢁⠒⡨⢐⠊⢏⠫⡐⢂⢵⠻⣏⣵⣎⣿⡟⡿⣿⡼⣧⣓⢮⢗⡾⣱⢚⡯⣱⢫⠵⣫⢼⣳⢳⠾⣞⢾⣙⣧⢻⣜⢻⡼⣙⢷⣣⢏⡿⣷⣾⡿⡘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠌⡀⠆⡈⠄⢂⠂⢍⠒⠤⢈⢌⠱⢌⢢⡙⣌⠣⢜⢢⡙⠴⣉⠲⣐⢊⡱⠤⣉⣧⡏⡇⠰⠂⢕⡸⠁⢦⠁⠆⠤⠡⠘⠠⢁⢂⠡⠊⠤⠑⠨⠄⢊⢽⣷⢮⢍⢻⣷⡿⣏⠳⣍⡯⣏⠞⣼⢇⡏⡶⣧⢿⢿⣣⡿⣼⢫⣟⣽⡯⣗⢮⢳⢎⡷⣹⡝⣮⢳⣏⢿⣿⣿⡗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠐⡀⢂⠄⠃⡌⢘⠠⣉⠢⠌⢢⠑⣊⢆⠲⣌⠱⣊⢶⢪⠱⢌⠲⢌⠒⣌⠒⠤⡟⡃⡗⢡⡉⠆⢲⡁⢾⡈⠔⢂⠡⢁⠂⠤⠈⡄⠑⢨⠈⡅⢊⡔⠢⢼⡊⡜⡾⣔⣏⡶⣿⡛⡗⣎⠽⣸⢫⡜⣱⣛⣿⣮⢷⣽⣿⡗⣮⢳⡝⣮⣛⡼⣋⢾⣱⢻⣜⣳⣮⣿⣾⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠠⢈⡐⠌⢂⠡⠂⡔⡈⢆⡑⡂⢎⡑⢢⠓⡔⢪⢣⡙⠬⣑⢊⡜⠤⣉⠖⣙⢣⡻⢴⠖⢾⡾⠴⡆⡁⣇⡀⠂⢂⠈⠄⡁⠤⢁⠂⠆⡰⢁⠄⢻⠞⣧⢼⣓⢿⡧⣟⣿⡷⣩⠜⣎⢽⢲⡙⢦⣓⣯⣟⣿⣹⢟⡻⣜⣧⢻⡴⣟⡷⣹⢧⣏⠷⣎⣷⢯⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⢂⠐⢨⠀⠆⡑⢠⠘⡄⢢⠉⠦⡘⢡⠚⡌⣑⠢⣉⠒⡤⢃⡜⡰⢡⠚⢤⢢⡙⠼⣏⠥⢻⡃⣿⡠⡇⡇⠠⡀⠂⠐⡀⠄⠂⠌⢂⠔⡨⢘⣸⣎⢿⢻⣿⠾⠳⣽⡷⣿⢰⢫⡜⣺⢥⡛⢦⢇⣟⣯⢿⡿⣮⢷⣽⣲⣿⡻⣵⣏⢷⣫⢞⡽⣞⣾⢯⣿⣿⡧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠅⠢⠈⠤⢑⢢⡙⢄⡃⠎⡥⡑⣇⡘⠴⣨⠑⣌⠲⡑⠬⡰⡁⠧⣉⢆⠣⡜⡩⢿⡌⣡⣧⡇⠱⡇⠁⠀⡁⠄⢁⠀⠤⠡⠈⠆⡌⠰⣱⡿⣏⡾⣹⡷⣍⣳⡹⢾⢳⡭⣖⡹⢼⢢⡝⣎⠞⣿⢿⡽⣿⣹⢾⣼⣳⡽⣷⠷⣞⢧⣛⣾⣿⣱⣿⢳⣾⣿⡧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢁⠒⢨⣸⠔⡨⠔⡩⠔⡡⣗⡘⢆⠧⡩⢄⢣⠘⠴⢡⠙⡴⠡⢎⡑⢦⡑⡞⡵⣹⢶⡻⠤⡇⠌⡀⠄⡀⢀⠀⠀⠄⣁⠒⠌⣱⢞⣼⣧⣿⣿⠟⣯⡙⡜⣦⣳⣼⣿⣼⣏⣷⣹⣌⡿⣟⢮⡜⣵⣺⠧⣾⡱⣝⣯⣻⣜⡧⣯⣷⣾⣳⣿⣟⣷⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡁⢼⢈⠴⣉⠒⡩⠔⣧⠘⣌⠲⡗⣌⢢⡙⡜⣊⠝⣰⣉⢖⣩⢒⣽⡖⡳⢚⡽⡗⢂⡇⢂⠀⠀⡁⠀⠂⠀⠀⠄⠊⠔⡨⣇⡛⣷⡿⢄⡛⣤⣓⢥⡿⢶⣯⣞⣷⢎⣿⣻⣽⣾⡟⣎⣟⣶⣻⢿⢷⣻⡞⣽⡷⣮⢷⣷⣷⣿⣿⣿⣯⢿⣿⠿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⢻⡟⣿⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⣠⡟⠁⢸⡇⠈⢻⣄⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣼⣯⣤⣤⣼⣧⣤⣤⣽⣧⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡄⣰⡟⠀⠈⢻⣆⠀⣴⠟⠉⠀⠀⠉⠻⣦⠀⣰⡟⠁⠀⢻⣆⢠⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⣤⠤⣴⣿⣴⣿⣤⣤⣤⣤⣤⣤⣿⣦⣿⣦⠤⣤⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡟⠁⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡟⠁⠙⣿⣿ ⣿⣿⣿⣿⡿⠿⠿⠶⠿⠋⠀⣴⣦⣼⣿⣿⣿⣿⣿⡿⠿⠿⠶⠿⠋⠀⣴⣦⣼⣿ ⣿⡏⢠⡟⠀⠀⠀⠀⠀⡀⠀⣿⣿⣿⣿⣿⡟⢠⡟⠀⠀⠀⠀⠀⡀⠀⣿⣿⣿⣿ ⣿⣧⣼⡇⢀⣿⣿⠿⣿⣿⣆⢸⣿⣿⣿⣿⣧⣼⡇⢀⣿⣿⠿⣿⣿⣆⢸⣿⣿⣿ ⣿⣿⣿⣧⣼⣿⣿⠀⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⠀⣿⣿⣿⣦⣿⣿⣿ ⣿⣿⣿⣿⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿ ⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿
𓍢ִ໋🌷͙֒₍ᐢᐢ₎💛₊˚⊹♡𔓘🌸ཐིཋྀ
⠀⠀⠀⠀⢀⢠⠴⠖⠉⠉⠉⠢⡀⢢⠉⠃⠶⣤⣀⢤⣄⣠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠋⠒⠒⠀⠤⣀⠀⠀⠱⡈⡄⠀⠀⢠⡟⠁⠘⣦⠀⢰⢠⢊⠕⣵⠀⢀⡠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡼⠇⠀⠀⠀⠐⠂⠠⠄⡈⠂⣄⡥⠓⠀⠀⠜⠀⠀⠁⠸⡄⢸⢁⠆⠀⠀⢠⠟⠁⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠁⠀⡠⠄⠲⠤⣄⡀⠀⣨⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⢀⡟⣎⠘⠀⠀⠠⡏⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⢸⠁⠀⠀⠀⣟⣭⠲⠃⠀⣴⠶⢦⡀⠀⠀⠀⠀⠁⣸⠁⢸⡆⠀⠀⠘⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⢸⠀⠀⠀⢤⡾⣌⠀⠀⢸⣓⡰⢦⡙⢦⠤⠀⠀⠐⡇⠀⢀⡃⠀⠀⠀⠀⠰⡿⠔⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡄⠈⣆⠀⠚⠋⣷⣸⠀⠀⢸⣿⣇⠀⣷⢈⠛⠯⠔⢰⠃⠀⢸⡿⠙⡆⠀⢀⠏⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⢄⠈⢆⠀⠀⣹⠟⠀⠀⠀⠻⣿⣿⣼⢺⡒⠀⢀⡞⠀⢀⢧⡁⠀⠇⣠⢤⡀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⡀⠑⣌⢧⡐⣠⠀⠀⠀⠀⠁⠀⢁⠀⣠⠎⠀⢀⠎⢎⡏⠀⡶⠁⢀⣧⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡈⠳⣍⠓⠒⠀⠠⣦⢴⡏⢁⡴⠃⠀⢀⠎⡜⢸⠁⠀⠁⢀⡾⠋⠂⠀⣀⡀⠠⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣄⠈⢢⡀⠀⠀⢹⢸⣧⠏⠀⠀⡰⠃⡜⠀⣏⠇⠀⠴⢫⣀⣴⡿⠛⠉⠀⠀⠀⠈⠉⠋⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡀⠄⣀⠀⠱⣣⠀⠱⡀⠀⣾⢸⡏⠀⢀⠞⠀⡜⠀⣸⠁⠀⠀⡠⠜⠛⠻⣄⠒⠒⠒⠢⢄⡀⠀⠀⠀⠫⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⢡⡶⠒⠵⢀⠿⡆⠀⢣⢠⡿⢌⠀⠀⡎⠀⡸⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⡎⠿⠳⣦⡀⠀⠈⠢⡀⠀⠀⢩⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⡈⠳⠆⠀⠞⠁⡇⠀⢸⡞⠀⢸⡀⢸⠀⢠⠃⢀⡏⡀⠀⠀⠀⠀⠀⠀⡄⠹⣼⠆⠈⢓⡄⠀⠀⠐⡄⠀⠀⠾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠶⣤⡄⠀⢀⣧⠶⡏⠀⠀⢰⣧⢸⠀⢸⠀⢸⠁⡇⠀⠀⠀⣠⠀⠀⠀⠘⣶⢀⡀⠈⣶⠀⠀⠀⢱⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢻⣾⡀⢸⠀⠸⣼⣝⣞⡆⠁⠘⠄⠀⠀⠘⠁⠀⣿⠀⠙⠀⠀⠀⢸⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⢠⠋⠳⣄⣣⠀⠙⠺⢣⡯⠀⠀⠈⠒⡄⠀⠀⠀⡟⠀⣿⠀⠀⠀⡘⠀⢠⠃⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡧⡀⢠⡇⠀⠀⠀⠙⢃⡆⠴⡏⠁⠀⠀⠀⢰⠀⠀⠀⠀⣧⡰⠆⠀⠀⡰⠁⡠⠃⢰⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⢰⡆⠀⠀⠀⢈⡇⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠀⠀⡰⢁⠔⠁⠀⣼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢖⡀⠀⠀⣜⠃⠘⣃⡀⠀⠀⣄⣵⠀⠀⠀⠀⣸⠀⢀⠜⡰⠁⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠶⠞⠃⠀⠀⠈⠁⠀⠉⠀⠐⢦⣤⢰⠞⠁⠀⠎⡌⢀⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⢸⢸⠀⠻⣥⣀⣀⣀⢀⡀⠀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣢⣸⡈⢄⠀⠀⠉⠀⢀⡀⠀⡀⠈⣉⠓⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠘⠋⠁⠀⠀⠛⠈⠁⠀⠀⠀⠉⠫⡎⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⣤⣇⣰
⠀⠀⠀⢀⣀⣀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⢋⡁⣠⠜⠆⠬⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢘⠰⠀⢠⢁⣄⡀⠀⠘⢱⠀⡐⡖⠩⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡔⡀⠈⡨⣿⣯⠖⠂⠆⣶⢤⡰⢋⠄⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠈⢮⣿⠄⢈⢉⢤⠊⡸⡏⢊⠖⣁⡶⡈⠁⢀⠀⠉⢂⠀⠀⠀⠀ ⠀⢠⣄⢹⠄⡀⡸⡁⡐⠡⠀⢛⠳⠛⡃⠀⠐⡄⠀⠀⠀⠆⠀⠀⠀ ⠀⠩⣒⣊⡤⢱⠏⠌⠀⠄⡈⣌⠑⢻⠁⠀⠀⢰⠀⠀⢀⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣨⠀⠌⢨⠀⠑⡑⡀⠀⠀⢀⠇⠀⠂⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡂⠬⠁⠀⠀⡇⠀⠀⢠⠃⣠⠃⠠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠎⠀⠠⠀⠰⠤⠁⠀⠧⣰⢁⠈⢐⠲⠶⠶⠴⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⠂
⠀⠀⢀⣠⣴⡖⠒⠒⢶⡒⠒⢤⡴⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⣋⠀⠄⢀⣉⡦⠴⠓⠒⠲⠇⠀⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⢁⡤⠒⠒⣶⠋⠀⠀⠀⠀⠀⠀⣴⠁⣇⠀⠀⢀⡀⣠⠖⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⢠⠇⢀⡴⣤⣄⠀⠀⠀⠀⢸⠸⡀⢠⢋⡟⠁⡼⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢱⠘⡄⠀⠈⡇⠘⣟⢸⣏⢳⣶⣦⠀⡞⠀⣧⣏⣈⢀⡼⠋⢁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⡘⢄⣀⡼⠀⠹⢿⣿⡿⠀⢀⡜⠀⢸⣿⠃⣼⡊⢀⣔⡁⠀⢀⡤⠔⠒⠒⠒⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣎⠻⡳⠴⠀⣀⠀⣤⢶⠎⠀⣠⡿⡏⠐⢁⠟⣁⣤⣿⣚⡁⠤⠤⠄⣀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢷⡜⢄⠀⡹⠀⡶⠃⣠⢞⠟⢰⠃⢰⣟⡿⢨⣽⡯⠔⠒⠒⢤⡀⠀⠙⢢⡀⠀⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⣴⡶⢦⢈⢿⠈⣄⡇⡼⢁⠞⡱⠃⠀⡎⠀⢉⣥⡀⠋⣀⡇⠀⠀⠀⠀⠱⡀⠀⠀⢱⠀⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⢿⡳⠤⠊⢸⢀⡝⢠⡷⢃⠜⠀⠀⡜⡀⠀⢧⠈⠛⠲⢽⠇⠀⠀⠀⠀⠀⡇⠀⠀⢠⠇⠀⡞⡇⠀⠀⠀⠀⠀ ⠀⠀⠉⠒⠒⠛⠉⠀⢸⠃⡌⠀⠀⡜⠀⣷⠒⠺⡷⢄⠀⠚⢢⠀⠀⠀⠀⢠⠇⠀⠀⡞⢀⡜⢸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡇⠀⢸⡇⠤⣼⠀⠀⠘⡌⢣⠀⠀⢧⠀⠀⢀⡞⠀⢀⠌⡠⠊⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⣓⡾⠛⡆⠀⠀⢣⠀⡇⠀⠘⡄⢠⠎⠀⣠⣣⠊⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢃⠏⠀⠀⢀⠇⠀⠀⡇⢀⠇⠀⠀⣧⡏⠀⣰⡟⢡⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠀⣼⠀⠀⢸⣤⠞⠀⠀⢀⡿⡄⢠⠻⡅⠈⠓⠒⠒⠒⣒⣺⣯⣑⢲⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠈⠓⠳⠽⠦⠤⠒⠊⠁⠀⠀⠀⠀⠙⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡞⠛⠯⡉⢻⡇⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠈⠉⠙⠢⡈⢦⣿⡀⠀⠀⢾⣹⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⠦⣄⡀⣤⣄⡀⠀⠀⠀⣰⡯⠴⣒⣛⣓⣒⣦⢄⣼⠛⠉⠳⡀⠀⠈⢷⣷⠻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠙⠿⣄⠙⢦⣀⡾⠗⠋⠉⠉⠀⠀⠀⢉⡟⡁⠀⠀⠀⠁⠀⠀⠸⢿⠀⠹⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣈⡳⣄⠀⠈⠁⣈⢿⡗⠀⠀⢀⣀⣤⣤⣀⡞⠀⠈⠓⠶⠤⢤⡄⠀⠀⣸⠀⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⠀⠉⠙⠳⢄⣸⡏⠙⣧⠀⢰⠏⣧⠆⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⣼⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⢄⣀⠀⣹⣿⣆⠘⣧⣼⠀⢸⣆⠀⠀⢀⣥⣠⣤⣰⣤⣤⢴⡞⣿⠁⠀⣰⠃⢻⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠚⠛⠛⠚⢧⡈⠑⠎⡻⡄⠈⢻⣽⡇⠀⠈⠻⠷⣶⠿⠟⠉⢰⠇⠀⣰⠃⢀⣼⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣶⣶⣶⣦⣭⢷⣦⣴⢻⣆⣹⣇⡠⠆⣤⠀⠀⠀⢀⣠⢄⡟⠀⣰⠃⢠⠎⣸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⢲⢿⣽⣶⣤⣿⠙⡟⠉⣩⣽⠟⠛⢳⡶⠒⠛⠉⠀⢸⠇⢀⡇⢠⠏⢠⠏⣠⣄⡀⠀ ⠀⠀⠀⠀⢀⣠⣴⠶⠚⠛⠛⠛⠲⠦⣄⣇⠈⣯⣤⣶⣯⠁⠈⣿⠁⣀⡻⠟⢀⣠⠿⠀⠀⠀⠀⠀⢸⡀⢸⡇⣾⠀⡞⣾⡽⡌⢹⣦ ⠀⠀⣠⣴⠟⠉⠀⠀⠀⢀⣠⡤⣤⣤⣤⣻⡄⢘⠾⣏⢫⣤⣤⠟⠊⢀⣿⠛⠛⠁⠀⠘⠓⠲⢤⣄⠘⣧⠀⢇⠸⡄⠳⠾⠟⢁⣼⣿ ⠀⣴⡟⠁⠀⠀⠀⣠⠞⢉⡴⠋⢉⣽⡟⠛⠃⠈⠛⠉⠉⠻⣼⣆⣀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣟⣧⣌⡳⢌⣓⣒⣲⢝⣵⠟ ⢰⣿⠀⠀⠀⠀⣰⠃⡴⢹⡇⠀⠀⠈⠉⠙⠓⠦⣄⠀⠀⣀⡤⠤⣍⡙⢷⡷⣄⣀⣀⣤⣴⣮⣤⠤⠴⠿⠋⠉⠙⠳⠶⠶⠿⠛⠁⠀ ⢸⣿⠀⠀⠀⠐⡇⠰⡇⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠛⠓⢦⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣯⣇⠀⠀⠀⢷⡀⠙⢄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⣀⡴⠋⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣟⣆⠀⠀⠀⠑⢤⣀⠙⠲⠤⣉⣓⠶⣤⣤⣤⣤⣤⣤⠿⠿⠿⠗⠚⠛⣉⣽⠿⢿⣿⢽⣓⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣎⡳⢤⣀⡀⠀⠈⠙⣒⣲⣤⣶⠿⠛⣁⡤⠖⠋⠁⢀⣀⡤⠶⠛⠉⠁⠀⠀⠈⠻⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣦⣌⣉⣉⣉⣩⣥⣖⣋⠥⠖⠊⠁⢀⣀⣴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠿⠾⠯⢭⣤⠤⠤⠴⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠠⠀⠀⠄⠉⠉⠉⠉⠁⠀⠐⠀⠆⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠂⠛⡂⠋⠀⠀⠀⢸⠀⠌⠀⠀⢀⠠⠄⠀⠈⠀⠀⠙⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠄⠀⠀⠈⠳⡠⠄⠠⠴⢼⣀⠀⠊⡁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀ ⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣥⠀⢀⡠⡆⠉⠓⠢⠆⠀⠀⠀⠓⠀ ⠀⠀⠀⢀⡾⠰⠄⠐⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠘⠳⠓⣁⡴⠀⠀⠀⠀⠉⡄⠀⢸⡇ ⣀⠀⠀⢠⡇⠀⠑⡀⠀⠀⠀⠀⢀⡔⡩⡐⡒⢷⠀⠀⠀⣧⣺⢦⡄⡀⠀⠀⢳⠀⠸⠇ ⠀⠈⠢⢈⠇⠀⠀⠏⠀⠠⣈⣩⠋⠐⡂⠀⣼⣞⠀⠀⠘⣧⣿⡀⠁⠂⠀⠀⡆⠀⠶⠀ ⣄⠀⠀⠸⠶⡀⠀⢸⡀⠁⠈⢁⣄⠇⢿⣿⣿⡟⠀⠀⠀⠹⡏⡀⠀⠀⠀⠆⢁⡼⠁⠀ ⠈⠅⢀⡀⠖⡡⡀⠀⠻⣆⠀⠀⠉⠏⠚⠛⠋⠁⠀⠀⠀⠀⢀⡣⠀⢀⡖⣠⠜⠀⠀⠀ ⠀⠨⡁⠁⠸⡵⠁⡀⠀⠘⢶⡄⠠⠀⣀⡀⠀⠀⠀⠀⠨⠖⠃⣀⡔⢙⡤⠊⠀⠀⠀⠀ ⠀⠀⠡⡄⡀⢹⡀⠀⢄⠀⠀⠛⣦⠀⠀⠐⠖⠀⠀⠀⢀⣠⠖⡡⡤⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢔⢧⠀⠀⠡⡀⠀⠈⢗⡄⠀⠟⠀⠠⡴⠓⢡⠞⠁⢠⠐⠂⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡄⠠⠀⠈⠀⠀⠀⠱⡤⣀⢠⠂⠀⢀⢚⠀⠂⠀⠈⡇⠀⠁⠀⠀⠀ ⠀⠈⠂⠀⠀⠀⠀⢐⠀⢡⠀⠀⢂⠀⠀⢳⠹⡏⠀⠀⢸⠀⠓⠶⠶⠚⠁⠴⠃⠀⠀⠀ ⠀⢠⡀⠀⠀⠀⠀⠀⢧⠀⠆⠀⠀⠆⠀⢸⡇⠀⠑⠠⠘⣀⣀⠀⠠⠄⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠡⠂⡄⢀⠠⢰⠀⠸⠀⠀⢸⠀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🏻🏻🏻🟪⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨⬜⬜🟪🟪🏻🟪🏻🏻🏻🟪🏻🟪🟪⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟪🏻🏻🟪🏻🏻🏻🟪🏻🏻🏻🏻🟪⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🏻🏻🟪🟪🟪🏻🟪🏻🏻🏻🟪🏻🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟪🟨🟨🟨🟪🟪🏻🏻🟪🏻🟪🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟪🟪🏻🟪🏻🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟪🟪⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🟪🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🏻🟪🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟪⬜🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🏻🟪🟨🟨🟨🟨⬛⬜🟦⬛🟨🟨🟨🏻🟪🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🟪🟨🟨🟨⬜🟦⬛⬛🟨🟨🟨🟨🟪⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🟪🟪🟨🟨🟨⬜⬜🟦⬛🟨🟨🟨🟨⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜ ⬜⬜⬜⬜⬜⬜🟪🟪🟪⬜⬜🟪🏻🏻🟪🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🏻🏻🏻🟨🟨🟨🟪🟪🟪🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟪🏻🏻🟪🟨🟨🟨🟨🟪🏻🏻🟪🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟪🏻🟪🟪🟨🏻🟨🟨🟨🟪🏻🟪🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟪🏻🟪🏻🟪🟨🟨🏻🟨🟨🟨🟪🟪🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟪🏻🟪🏻🟪🟨🏻🟨🟨🟨🟨🟪🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🟪🏻🟪⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🟪🏻🟪⬜🟨🟨🟨🟨🟨⬜🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🟪🏻🟪⬜🟨🟨🟨🟨🟨🟨⬜🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜ ⬜🟪🏻🟪🏻🏻🟪⬜🟨🟨🟨🟨🟨🟨⬜🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜ 🟪🟪🟪🟪🟪🟪⬜⬜⬜🟨🟨🟨🟨⬜⬜⬜🟨🟨🟨🟨⬜⬜⬜⬜⬜⬜⬜
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⠀⠀⠠⠀⠁⠀⡀⠄⣠⣾⢿⣻⢞⡯⣞⡵⣫⢞⡵⣫⢞⡵⣫⠶⣭⢻⡵⣫⡿⣿⢺⣜⡳⢾⣯⣟⡧⣏⢷⡹⡞⣵⢺⡵⢫⢷⡹⣎⠿⣜⢧⣛⢶⡹⣎⠷⣎⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠱⡄⠀⠘⠂⠎⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠁⡀⢠⣾⢿⣽⣫⢗⡯⣞⣼⠳⠛⠚⠓⠻⢮⣳⢭⡻⣜⢧⡻⢵⣿⣻⡳⢮⡝⣿⣳⣿⡱⣏⢾⣱⢻⡜⣧⢻⡝⣮⢳⣭⢻⡜⣧⣛⢮⡳⣭⢻⡼⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⢱⡀⠄⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠂⣴⡿⣯⣟⢶⡹⣎⢷⡞⠡⢈⡤⠧⠬⢤⡁⠙⢾⣱⢏⡾⣹⢳⢾⣻⣯⢳⡝⣷⢯⡷⣹⢎⡷⣭⢳⡝⣮⢳⡝⣮⢳⣎⢷⡹⢶⡹⣎⠷⣭⢳⣳⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢠⠃⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢣⡀⠀⠄⠐⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡁⣼⡿⣽⡻⣜⢧⡻⣼⠏⢀⣢⠋⠀⠀⠀⠀⠙⢦⠂⠹⣾⡱⣏⡻⣎⣷⢿⣣⢟⣯⣟⣷⡹⣎⠷⣭⢳⡝⣮⢳⡝⣮⢳⣎⢷⡹⢧⡻⣜⡻⣜⢧⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⢧⠀⠠⠀⠀⠄⠈⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢁⣼⡿⣽⡳⣝⢮⡳⣝⡏⢀⡲⠁⠀⠀⠀⠀⠀⠀⠀⠱⡡⠘⣷⢭⡳⣝⠾⣟⣧⢟⣾⡽⣷⡹⣎⠿⣜⢧⡻⣜⢧⡻⣜⡳⣎⢷⡹⢧⡻⣜⡳⣝⠾⣼⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⢃⠀⠘⡆⢀⠐⠀⠠⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡿⣽⣏⢷⡹⣎⢷⡻⢀⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡆⠘⣯⡳⣭⢻⣽⡿⣞⣼⡿⣽⣳⢭⡻⣜⢧⡻⣜⢧⡻⣜⡳⣝⢮⡝⣧⢻⣜⡳⣭⣛⢶⣻⠀⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢧⠀⠀⠠⠀⠀⠁⠀⡀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⡽⣟⡼⣣⢟⡼⣳⠇⡀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡌⠹⡷⣭⢳⣎⢿⣿⡲⣿⡽⣧⣏⢷⡹⣎⢷⡹⣎⠷⣭⢳⡝⣮⡝⣮⢳⣎⢷⣣⢟⣮⢳⠀⠠⠂⢁⣠⠴⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠘⡆⠀⢀⠐⠀⠁⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⢯⣿⢣⡟⣵⢫⡞⡽⠀⣼⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢣⡐⢿⣜⡳⣎⢯⣷⠟⡙⣿⣽⣎⢷⡹⣎⢷⡹⣎⠿⣜⢧⣛⢶⡹⣎⠷⣎⢷⡹⣞⡼⣻⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⡀⠀⠂⠈⠀⡀⠁⢀⠀⠀⠀⠀⠀⠀⠀ ⢀⡿⣯⣏⢷⡹⣎⢷⣹⡇⠁⡆⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠸⣧⢻⡼⠏⢁⡴⠊⠹⣞⡿⣎⡷⣹⢎⡷⣭⢻⡜⣧⣛⢮⡳⣭⢻⡜⣧⢻⡼⣱⢿⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⠄⠀⠂⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀ ⢸⣟⡷⣎⢷⡹⣎⢷⣹⠠⢹⠃⠀⠀⠀⡼⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡌⣿⠏⢡⡴⠋⠀⠀⠀⠘⣿⣻⢷⡹⣎⠷⣭⢳⡝⣶⡹⣎⠷⣭⢳⡝⣮⢳⡝⣧⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⠀⠀⠀⡐⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀ ⢸⣯⡽⣎⢷⡹⣎⢷⣹⠀⢺⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢁⡴⠋⠀⠀⠀⠀⠀⠀⠈⠻⣯⢿⣼⢻⡜⣧⣛⢶⡹⣎⠿⣜⢧⡻⣜⢧⣛⣶⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⠈⠀⠀⠀⢈⠀⠀⠂⠀⠀⠀⠀⠀ ⣻⣞⢷⡹⣎⢷⡹⣎⡧⠈⢼⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠫⣿⣳⣟⡶⣹⢎⡷⣭⢻⡜⣧⢻⡜⣧⢯⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⢀⠀⠁⠀⠠⠀⠈⠀⠀⠀⠀⠀⠀ ⡷⣯⢷⡹⣎⢷⡹⣎⡗⢁⢺⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢿⣽⣳⣯⡞⣵⢫⡞⣵⢫⡞⣵⣿⣳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠠⠀⠀⠂⠁⠠⠀⠁⠀⠀⠀⠀⠀⠀ ⡿⣭⣏⠿⣯⣞⡵⣫⢟⠠⢸⠀⠀⠀⠀⢳⢸⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠾⣽⡷⣯⢾⣱⣏⢾⣹⡾⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠟⠉⠁⠀⠉⠙⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⠄⠀⠄⠀⡐⠀⠈⠀⠀⠀⠀⠀⠀ ⣟⣷⣫⢟⡼⣛⡷⣽⣾⠀⢺⠀⠀⠀⠀⠘⡔⡆⠀⠀⠀⢰⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠯⢿⣳⡿⣽⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣯⣤⣶⣶⣶⣶⣤⣄⠀⠀⠙⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠂⠀⡀⠠⠀⠀⠠⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀ ⢽⡶⣏⢾⡱⣏⠾⣭⢻⡌⠌⡇⠀⠀⠀⠀⢱⡸⡀⠀⠀⢹⣿⡄⠀⠀⠀⢀⣤⣶⣾⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⢿⣽⠗⠛⠚⠷⣯⣟⣿⣦⡀⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢠⠇⠀⠐⠀⠀⠀⠄⠀⠁⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣽⢎⡷⣭⢻⡜⣯⢗⠠⢇⠀⠀⠀⠀⠀⢳⢣⠀⠀⠈⢿⣿⣆⠀⣴⣿⡿⠋⠁⠀⠀⠀⠀⠉⠻⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢯⡟⠀⠀⠀⠀⠀⠀⠉⠳⣟⣿⣄⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⡐⠀⢀⡎⠀⢀⠠⠐⠀⠠⠀⢀⠈⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣹⣎⠷⣭⢳⡝⣮⢻⡄⠚⡆⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠛⢿⣿⣿⠋⠀⠀⠀⢀⡠⢔⠒⡒⢒⠢⢽⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣽⣦⠀⠙⣿⣷⡀⠀⠀⠀⠀⠀⡐⠁⢀⠎⠀⠀⠀⠀⠀⡀⠀⠄⠀⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣳⣏⠿⣜⢧⡻⣜⢯⢷⡀⢳⡀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⣼⣿⠃⠀⠀⢀⠖⡩⠐⡌⢂⡑⢨⡴⠖⠚⠿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⣆⠀⠘⣿⣷⠀⠀⠀⠀⡔⠀⡰⠋⠀⠀⠂⠁⠀⡀⠀⠠⠀⠀⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣷⣻⡟⣼⢣⡟⣼⢫⡞⣧⠀⢳⠀⠀⢀⠀⠀⠈⠻⠿⣿⣾⣿⠃⠀⠀⢠⠋⡔⠡⡁⡐⣢⣴⠏⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠘⣿⣷⠀⠀⠊⢠⡎⠀⠀⠀⠂⠀⠐⠀⠀⡀⠀⠐⠀⠁⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡷⣿⡜⣧⢻⡜⣧⢻⡝⣆⠂⠳⡀⠨⣧⡀⠀⠀⠀⠀⣾⡟⠀⠀⠀⡏⠐⡠⠁⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣇⠀⠀⠘⣿⣷⣤⣤⣀⣁⣀⡀⣁⣀⠀⠂⠀⡀⠀⢀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⡽⣿⡜⣧⢻⡜⣧⢻⡝⣧⢂⠙⣄⠘⢻⣷⣦⣤⣄⣿⠃⠀⠀⢸⠠⠁⠄⣱⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⠋⠛⠿⣦⣄⠀⠀⠀⠀⠀⠀⢰⣯⢿⠀⠀⠀⠘⣿⣯⠙⠛⠛⠛⠛⠉⠁⠀⠠⠀⠀⠄⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣟⣯⣟⣾⡱⣏⢾⡱⣏⠾⣭⠷⣄⠈⢢⡀⠈⠙⠛⠛⢻⠀⠀⠀⣿⠀⠡⢨⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣇⠀⠀⠀⠙⣿⣿⣶⣤⣤⣤⣶⣟⡎⣿⠀⠀⠀⠀⠘⢿⣷⣤⣀⣀⣀⣀⣀⣤⠀⠀⠄⠀⠈⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣻⢞⣯⣿⣼⢣⡟⣼⢻⡜⣯⣛⣮⣄⠙⢄⡀⠀⠀⢹⠀⠀⠀⣷⠈⠠⢸⣿⣿⣿⣿⡿⢿⣿⣄⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣗⡺⣹⠄⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⡯⠅⠀⠠⠀⠂⠁⡀⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⢿⣫⢞⡵⣿⣳⡽⣎⢷⡹⢶⣹⢺⡜⣟⣦⠙⢢⣀⠈⡀⠀⠀⢱⠀⠄⢸⣿⣿⣿⣿⠀⠀⠈⢻⣦⣀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠶⢹⠀⠀⠀⠀⠀⠀⠀⠀⢨⠉⠉⠁⢀⠀⠠⠁⢀⠐⠀⡀⠈⠐⠠⣀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣟⣧⡻⣜⢧⡟⡿⣿⢮⣝⢧⣏⢷⡹⣞⣼⡂⢉⡆⠀⠇⠀⠀⠸⡀⠠⢸⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣷⣶⣤⣤⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠂⠀⠈⠀⡀⠂⠀⠠⠤⣀⠀⠉⠓⢄⠀⠀⠀⠀⠀ ⠀⠀⢀⠈⣿⣻⣵⣫⢞⣭⢳⣭⣛⠿⣾⣼⣣⡟⡼⣎⣇⠂⢇⠀⠸⠀⠀⠀⣇⠀⠀⣿⣿⣿⣿⣿⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⠤⡀⠱⡀⠀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣷⣻⣻⢾⣜⣳⢮⣝⣛⢶⣣⢯⣝⡳⣭⣳⠈⢼⡀⠀⢇⠀⠀⠘⡄⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⢳⠀⠀⠸⠀⡀⠀⠀ ⠀⠀⠂⠀⠀⢻⡽⣷⣫⣛⢿⣳⢾⡽⣮⣗⡷⣞⡷⡷⢿⡇⣠⣧⣤⣬⡀⠀⠀⠹⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣠⠔⠶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠦⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠈⡆⠀⢀⠀⠄⠀⠀ ⠀⠀⠀⠠⠀⠀⠹⣟⣷⣝⢮⡳⣏⢾⡱⢮⡝⣮⢳⡝⣿⣿⠛⠹⡉⠉⠁⠀⠀⠀⠡⡀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠁⠀⠀⠀⠀⠁⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⡕⣲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠱⡀⢄⠀⠂⠉⠐⠤⣀⠀⠀⠀⠀⠀⠀⡜⠀⡇⠀⡘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣽⢾⣷⡹⣎⢷⡹⢧⡻⣜⢧⡻⣽⣞⣥⣾⣿⠿⠿⠦⠀⠀⠀⠑⡄⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣸⠰⠀⠀⠀⢠⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡚⠽⢻⠿⠿⡟⢻⠉⣆⢣⡼⠋⠀⠀⠀⠀⠀⠀⠀⡘⠀⢀⠃⠀⠱⡀⠓⡀⠀⠀⠀⠂⠑⠤⡀⠀⠀⢀⠇⣸⠀⠀⡇⢀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠀⠈⢿⣯⣞⡿⣯⡞⣽⢣⡟⣼⢣⡟⣼⢿⣿⡁⠄⣆⢀⣴⣧⠀⠀⠀⠀⠂⠀⢠⠝⠻⣿⣿⣿⣿⣿⣿⠿⢣⣄⡟⠀⠀⠀⠀⣞⣄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡌⠥⢊⠱⡈⣅⣺⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⢠⠋⠀⠀⠀⠘⢢⡀⠑⢄⡀⠀⠀⠀⠈⠄⢀⠎⢠⠃⠀⡸⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⣽⣳⢿⣳⣏⣾⡱⣏⢾⡱⣏⠿⣷⡂⢸⣿⠋⠀⠣⠀⠀⠀⠀⠐⠣⣀⣀⡤⡝⠭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⠓⠚⠓⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⠏⠀⠀⠀⠀⠀⠀⠈⠢⠄⠈⠒⠀⠀⠀⠠⣀⠴⠃⠀⢠⠃⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣭⣟⣳⣯⣟⡷⣽⣎⠷⣭⣛⢶⡻⡔⡏⣆⠀⠀⠑⠄⠀⠀⠀⢀⣬⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⡰⠃⡰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠙⠾⣻⡾⣭⢟⣷⣻⣟⡷⣯⢾⣱⠿⡄⠘⢆⠀⠀⠈⠢⢀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⣠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⡴⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢷⣤⡀⠈⠛⢽⣟⡶⣧⢯⣝⡻⢯⠿⣿⣻⣆⠌⢣⡀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠚⣂⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠄⠊⣠⣾⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣽⣟⣷⣤⣀⡈⠛⠯⣷⡾⣝⡯⣝⢶⡹⣞⢧⡠⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⡖⡋⠒⠒⠒⠒⠚⠒⠒⠒⢳⠀⢀⣀⣠⣤⣶⢿⣻⡿⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣠⠊⠉⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⢁⠔⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣮⣝⡻⣽⣿⣻⢷⣟⡿⢯⣟⡿⣾⣵⢫⡞⣽⢦⡀⠜⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠱⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣻⡽⣯⢷⡯⣟⣷⠃⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⡰⠁⠀⠉⠒⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡽⣮⣗⡳⢮⡝⣯⢻⣝⡻⣞⡽⢳⣎⢷⡹⣎⢷⣛⣦⠑⡈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣙⢄⠀⠀⠀⠀⠀⠀⢸⢷⣫⣽⣳⢯⡿⣽⠃⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⡇⠀⠀⠀⢰⠀⠰⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣽⣳⣏⡷⣹⢎⡷⣎⢷⡹⢞⡳⣎⢷⡹⣎⠷⣭⣿⡇⠠⡕⢤⡘⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠭⣒⠤⢀⣀⠀⢸⣯⠷⣉⠧⣋⡽⠃⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⡠⠂⠀⠀⢸⠁⠀⠀⠀⠈⡆⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣻⢿⣵⣫⢞⡝⣮⡝⣯⢳⡝⣮⢳⣭⣛⣾⢷⣻⡀⠼⡀⠉⠒⠥⣂⢉⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠒⠛⢻⠲⠵⠼⠚⢉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠉⠀⢀⠃⢀⠇⠀⠀⠀⠀⠀⠸⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⡽⣾⣽⣲⣝⢮⡳⣝⢮⣳⣮⢿⡽⣯⠋⠱⡄⠳⡀⠀⠀⠀⠉⠓⠢⠴⣈⣉⠒⠒⠤⠤⢄⣀⣀⣀⡀⠀⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠊⠁⠀⠀⠀⢀⠎⢀⡞⠀⠀⠀⠀⠀⠀⠀⢣⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠛⢷⣯⣷⢯⡿⣝⣯⡟⣷⣯⠿⠋⠁⠀⠀⠳⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠢⠤⠤⢤⣀⣌⣁⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⡄⠢⢌⠋⡝⠛⡿⢉⣱⠀⠀⠀⠀⠀⠀⠀⠱⡅⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠡⠌⡑⣈⠒⠬⢱⠇⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⠄⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠐⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠣⡐⠤⢉⠬⣽⠈⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡌⢰⠳⢄⡈⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠑⡠⢃⠌⡐⡏⠐⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⡆⠀⠉⠲⢤⣈⠉⡒⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⢀⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⢀⠎⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠙⢤⡀⠀⠀⠀⠀⠀⠀⠀⠸⡐⡐⢨⠐⡡⡇⠡⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⢳⠀⠀⠀⠀⠈⠉⠒⠢⠴⣄⣐⣀⣂⡐⡠⠌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⡀⠀⠀⠀⠀⠀⡠⡳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣀⠀⠂⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⢳⠈⡄⢊⡐⡇⡁⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⡜⠀⠀⠀⠀⢀⢊⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠑⢆⠀⠀⠀⠀⠀⠘⣇⠄⢃⡐⡇⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢲⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⠜⠀⠀⠀⠀⣠⠵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⢀⠀⠀⠑⢄⠀⠀⠀⠀⠘⣆⠢⠐⣇⠠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⡆⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢁⠔⠁⠀⠀⠀⡠⡪⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⡀⠈⠳⡀⠀⠀⠀⠘⡆⢁⢻⠠⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⢱⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⡤⠚⠁⠀⠀⠀⢀⡮⠊⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠙⢄⠀⠀⠀⠘⣆⠘⣇⠂⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠈⡆⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⣠⠔⠉⠀⠀⠀⠀⢀⢔⠝⠀⠀⠀⠀⠀⠀⡀⠐⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠂⠀⠈⢣⡀⠀⠀⠈⢣⡘⢧⢀⠑⣄⡀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠠⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⡇⠀⢱⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢁⡠⠊⠀⠀⠀⠀⠀⠀⣠⡳⠁⠀⠀⠀⠀⠀⡀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⡀⠀⠳⡀⠀⠀⠀⠑⣎⠓⢦⣀⠌⠙⠒⡐⠂⠌⡑⣀⣢⢽⡆⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠸⡄⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⢀⡰⠊⠀⠀⠀⠀⠀⠀⢀⣜⠎⠀⠀⠀⠀⠀⡀⡪⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠱⡄⠀⠀⠀⠈⠳⣄⠉⢛⠓⡚⢒⠛⡚⢛⠩⠔⡊⣷⠈⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠄⠀⠀⢇⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⡰⠊⠀⠀⠀⠀⠀⠀⠀⢠⠾⠁⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⢀⡰⠀ 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⠀⠂⣇⠀⠀⠘⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣣⠀⠡⡀⠀⠀⠀⠹⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⢉⠁⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣸⠃⠀⠀⠀⠀⠀ ⠀⠐⢬⠀⠀⠀⢸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠑⠄⠀⠀⠀⠈⠻⣿⣿⣷⣦⣄⣀⣀⠀⠀⠀⡀⠀⣀⣀⣠⣤⣤⣶⣾⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⢁⢾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⠏⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠈⢼⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠈⠢⡀⠀⠀⠀⠈⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⣰⠂⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢃⣰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⢺⡄⠀⠀⣀⣘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⡰⠁⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢏⣤⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠣⠄⡇⠀⣼⠃⢈⠙⠳⣄⠀⣀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠈⠀⡠⠊⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠠⣧⢸⡇⠀⠀⠈⠢⡀⠛⠁⠈⠈⠁⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⢄⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢀⡴⠊⠁⠀⣼⠏⠀⠀⣀⢤⠶⢄⡠⢄⡀⠀⠀⠀⠀⠀⡀⣰⣣⣼⠃⠀⠀⠀⠀⠀⢴⠄⠶⠀⠀ ⠀⠸⣤⠞⠚⠂⠀⠀⠀⠀⣞⠁⠈⠆⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠁⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠁⠀⠀⠀⠀⠀⠀⢀⠠⠈⢀⣤⠖⠋⠀⠀⢀⣼⠏⠀⠀⡜⠡⠂⠉⠒⠈⠂⢌⡒⠄⣤⠤⡞⡹⠑⠋⠑⠬⡢⠀⠀⠀⠀⠘⠆⠚⠀⠀ ⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⢴⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠉⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠋⠁⠀⠀⠀⢀⣾⠃⠀⠀⠈⡗⠁⠀⠀⠀⠀⠀⠀⠈⠐⠉⠁⠈⠀⠀⠀⠀⠀⢻⡲⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠠⠀⠀⣀⡀⣈⠧⠀⠀⠀⠀⣠⢫⠀⠀⠀⠀⠀⠀⠀⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡠⠔⠁⠀⠀⠀⠈⠢⠄⠜⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⡏⠐⢕⢀⠀⠀⠀⠀⡔⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠼⣏⢽⡌⠀⠀⡤⠊⠁⠐⠀⠀⠀⠀⠀⠀⠀⠬⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡅⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣼⠃⠀⠀⢝⠠⣀⡮⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣇⢸⡈⠻⢆⠀⠘⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡼⠀⠀⠀⠀⠉⠀⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡀⢧⠀⠙⢧⡀⠀⠈⠑⡀⠀⠀⠀⡀⢄⡀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⣒⠊⢉⠉⡄⠦⠴⠤⢆⣉⡉⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠘⡆⠀⠈⣷⡄⠀⠀⠡⡀⢀⠴⠁⠀⠈⠉⢛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⣜⠉⠦⡀⠀⠀⠁⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⠽⠤⠄⠌⠾⠦⠌⠤⠨⠁⠤⠀⠤⠀⠀⠀⠹⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠧⠼⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠳⠼⠄⠀⠄⠀⠀⠀⠀⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠥⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⠽⠦⠠⠄⠠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⡏⠄⢲⢁⠂⡌⢐⠡⢒⠈⣌⡰⠔⡚⠡⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠀⡂⢼⠃⢌⡇⠂⡔⠐⣂⢰⠬⡚⢁⠆⠡⡐⠡⢉⠔⣊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⡿⠊⢄⢂⠱⠀⢾⠡⢼⠠⠑⣨⢖⢕⠃⡐⢠⣡⠬⠒⠎⡩⢉⠂⡔⣀⠊⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠈⠱⣌⠂⠆⠌⡑⠠⡗⢸⠀⣃⡵⢁⠊⣰⠜⠍⠠⠌⣈⠐⠡⣈⣒⠐⠤⢈⡁⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⠀⡀⠀⠀⠑⢿⠈⠉⠉⠉⠉⠛⠲⠼⣀⢢⠟⡁⠌⣀⠃⢰⡤⢺⡉⠥⠉⣙⣦⣡⠄⢣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⡿⣧⠀⢡⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡘⡐⣠⣼⣫⣤⣴⣿⣾⣿⣿⣿⣿⡎⠄⡃⢾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢀⢿⡀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣇⠎⠰⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⠣⠈⠜⣇⠀⠑⡀⠀⣠⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡯⣐⠡⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⡎⢡⠈⠜⣆⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡾⣟⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣽⣿⣿⢇⠉⢗⡸⣽⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣵⢀⣊⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡇⠈⢻⣿⣿⣿⣿⣿⣾⢏⠞⠀⠈⢛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⣷⣿⣿⣿⣿⢿⠟⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⡿⠀⠀⠀⠘⠋⠹⡟⠫⠕⠁⠀⠀⠀⠀⢚⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠢⡘⢧⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠒⠂⢠⡿⣄⠀⠀⠀⠀⠀⠀⠀⢫⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡠⠐⠌⢧⡀⠀⠀⠀⠙⠻⢿⣿⣿⡿⠟⠉⠀⠀⠀⠠⠤⠴⡲⡝⢠⠘⣧⡀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣝⢄⠳⡠⢁⠊⠄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣔⠮⡊⠔⡡⣸⠡⢙⣦⡀⠀⠀⠀⠀⠀⠑⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣎⢣⡙⢆⡈⠤⠁⠜⢳⡀⠀⠀⠀⠤⠤⠤⠤⠖⠒⢺⠛⠩⠐⣀⠒⠠⣱⠣⠑⣠⣞⠟⢦⡀⠀⠀⠀⠀⢰⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠱⣌⠱⣆⠉⡄⠡⠘⠦⣄⠀⠀⠀⠀⠀⠀⠀⠸⣇⢃⠡⠄⠌⢢⣧⠶⠟⠉⠀⠀⠀⠈⠀⠀⢀⣴⣽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢈⠲⡈⠳⣌⠤⢉⠰⠈⠷⣄⠀⠀⠀⠀⠀⠀⠙⢧⣢⠼⠚⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⣮⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠐⡑⢆⠄⠳⣌⠢⡁⠆⡉⠷⣄⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⣀⢤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢦⢀⠉⠳⡐⢠⠓⣔⢂⠰⢀⠉⠷⣄⠀⠀⠀⠀⠀⠈⢻⢤⡤⢶⣮⣿⣿⣿⢿⣡⣦⣀⠙⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠘⢝⡈⢧⡈⠤⠙⣢⡒⢈⠳⣔⠈⠤⠑⡘⢦⡀⠀⠀⠀⠀⠀⢛⡆⣸⢿⣿⣿⣯⣿⣿⣿⣿⠈⠆⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡃⠀⢇⠀⠻⣄⠥⢀⡑⣆⠂⠌⡳⣂⠡⠐⣈⠳⣴⠀⠀⠀⠀⠀⢿⡸⡘⢿⣿⣿⣿⣿⣿⡟⢈⠐⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⡀⠘⡄⣰⠟⢦⡂⡔⢈⢮⠐⡄⡙⣆⠥⢀⠡⠹⣧⠀⠀⠀⠀⢸⢇⢇⢂⠙⠻⠿⠿⢋⠐⡀⢺⣽⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⢠⡟⠁⠀⠀⠳⣌⠂⢂⢳⠠⠁⠌⢧⠊⠰⠁⢻⡆⠀⠀⠀⠈⢼⠸⡌⠂⠡⠘⠠⠃⣢⣼⣿⣿⣿⣿⣿
🎪🎭🎩🪅꒷꒦✧˖°🫀⋆。𖦹꒷꒦☆ ★ ✮ ★ ☆˗ˏˋ ★ ˎˊ˗✧˚ ༘ ⋆。˚🃜🃚🃖🃁🂭🂺☆⋆。𖦹°‧★🔮🂱🤹🃏༘⋆🪄🍿🤡🎈🎠🎢🤸🏼‍♀️📢🎱₊˚ʚ ᗢ₊˚✧ ゚.🦁🎸⋆⭒˚。⋆જ⁀➴
⣿⣿⣻⡄⠀⠀⠀⠀⠀⢀⡤⡲⠌⠃⡈⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⢀⠉⠚⠩⡟⢶⣠⢃⠲⢸⢇⡘⠤⣃⠜⣄⢻⣿⣿⢿⣻⣟⣿⣻⢿⣻ ⡿⣳⠏⠁⠀⠀⠀⢠⡜⠏⡁⠄⡐⠠⢀⠡⠈⠄⠡⠈⠄⠡⢈⠠⢁⠈⡐⠠⢈⠠⠁⠠⠉⠪⣝⢮⡘⡇⡘⣴⠐⣊⠤⢫⣿⣿⣻⣽⡾⣯⣟⣿⣻ ⣷⠀⠀⠀⠀⠀⣴⠟⠈⠠⢀⠂⠄⠂⠄⠂⡁⠌⠐⡈⠐⡀⠂⠄⠂⡐⢀⠂⠄⠂⠌⠐⡈⠄⠀⠳⢝⡣⢉⠀⢍⢲⢈⢯⣷⢯⣷⢯⣟⣷⢿⡾⣽ ⢃⠀⡀⢀⡀⣾⠍⠠⢈⠐⡀⠂⠌⠐⡈⠄⠐⠠⠁⡐⠠⢀⠁⢂⠁⠄⠂⡐⠈⡐⠈⠄⡐⠈⡐⠠⠨⢧⠂⠀⠀⢁⠹⣾⡽⣯⣟⣯⡿⣾⢯⣟⣿ ⣯⣿⣿⣎⡽⡎⢀⠂⠄⢂⠠⠁⢂⠁⠠⢀⠁⢂⠁⠄⠂⠄⡈⠄⡈⠐⠠⢀⠡⠀⠌⡀⠄⠡⢀⠂⡜⠆⠀⠀⠀⡄⠡⢻⡿⣽⢾⣯⢿⣽⣻⣽⢾ ⠋⠙⠈⠻⡵⠀⢂⠐⡈⠠⠐⢈⠀⣬⠖⠀⠌⡀⠌⠐⡈⠠⠐⠀⠄⡁⠂⠄⠂⢌⠠⡐⢈⠐⠠⢀⠀⠀⠀⠀⠀⠱⠀⠉⡖⡌⢢⠰⣈⠤⢃⠌⢎ ⠀⠀⠀⢹⡇⠐⠀⠂⡄⢡⠐⢠⡞⠃⢠⠈⡄⠐⢠⠁⠀⠂⠁⡌⣴⢢⡗⠚⠉⠈⠃⠉⠉⠉⠛⠃⡆⠀⠀⠀⠀⠐⠀⠃⢸⡔⢣⡖⣴⠊⣼⠘⣦ ⠀⠀⠀⣿⠀⠄⡁⢂⠐⠠⠐⣎⠏⠀⢂⠐⡀⠡⠀⠂⣡⢜⡲⠙⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣹⢇⡏⢶⣡⢛⢦⡛⡴ ⠀⠀⢸⣵⠀⢂⠐⡀⠂⠁⣾⡉⠠⠈⠄⠂⠐⡀⣥⠞⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⡀⣸⢯⣜⢣⢎⡝⢦⡝⣲ ⠀⠀⠸⠆⡐⠀⠂⠄⠡⢘⡷⠀⠄⡁⠂⡁⢦⡻⠊⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢲⠑⣛⡎⢃⠚⠌⠓⡘⠡ ⠀⠀⣘⠃⠄⡈⠐⡈⠄⣹⠃⢀⠂⠄⢡⢾⠉⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢊⡇⠠⠹⡵⠠⠈⠄⠃⡄⠁ ⠀⠀⢌⡃⠐⠠⠁⠄⠂⡿⠁⠠⢈⡰⣿⣷⣶⣶⣯⣭⣙⣧⡀⠀⠀⠀⠀⠀⢀⣸⣀⣀⣤⣤⣴⣶⣶⣶⣤⣤⣤⣐⣙⡂⠄⠁⣟⣃⠡⢈⠂⠤⠁ ⠀⠀⢨⡅⢈⠐⠈⠄⡈⡷⠈⠐⣰⠟⠁⠀⠀⠀⣾⣿⡉⢻⠿⣿⣿⣿⣿⣿⣿⠟⣿⡟⠛⣶⡦⠤⠤⠼⢿⣟⣻⣿⣿⣿⢂⠁⢸⣽⠀⠂⠌⡠⠁ ⠀⠀⢸⠾⠀⡈⠐⠠⠐⣗⠈⣴⡻⠀⠀⠀⠀⢸⠩⣿⣵⣼⠂⣽⣿⠿⢿⣿⠃⢠⣿⣽⣦⠧⠇⠀⠀⠀⠀⢷⣤⣿⣿⠟⠁⣌⠀⡯⡄⡉⠐⡠⠁ ⠀⠀⠈⣯⡐⠀⡁⢂⠁⣿⢠⣿⣳⠀⠀⠀⠀⠀⠳⣛⡿⢿⢀⣾⠇⠀⠀⢻⣇⠰⡿⣛⣏⠔⠀⠀⠀⠀⠀⣮⣙⣿⡟⠀⡁⣿⡄⢺⡁⠄⠃⠄⡁ ⠀⠀⠀⢿⡀⢂⠐⡀⢂⢹⣎⡍⣧⢧⠀⠀⠀⠀⠀⠀⠀⠏⣾⡟⠀⠀⠀⠈⢿⣆⠧⠠⠀⠀⠠⠄⡀⠀⣰⠶⢶⣿⠁⠂⠄⣗⢣⢸⡜⠀⠁⠈⠀ ⠀⠀⠀⠺⣇⠠⠐⢀⠂⢸⢾⣷⣜⠣⣁⢀⠀⠀⠀⢀⣠⣾⠟⠀⠀⠀⠀⠀⠈⢻⣦⣀⠀⠀⠀⠀⠀⠨⢸⣠⡿⡏⠠⠁⢂⢯⣏⠎⡇⠀⠀⠀⠀ ⠀⠀⠀⠸⣹⡄⠂⠄⡈⠄⠂⠙⠛⠿⢶⣶⣶⣶⡾⠿⠛⠁⠀⠐⠂⠀⠀⠐⠀⠀⠈⠛⠻⠶⣶⣶⣶⠿⠟⠋⣡⠇⠠⢁⢸⣳⠘⡟⣄⠀⠀⠀⠀ ⠀⠀⠁⠀⢧⣳⡀⠂⠄⠂⡁⠂⠌⠀⠄⡈⠢⣐⠄⡀⠀⠀⠀⠀⠀⠒⠂⠄⡀⠀⠀⠀⠀⡀⢔⠠⠊⡀⠄⢢⡏⠐⡀⠲⡙⣧⡇⠸⡼⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⣧⢳⡈⠄⠂⠄⡁⠂⡁⢂⠐⠠⢀⠑⣦⡱⢠⠀⠄⢀⣀⣀⣀⠀⠀⢀⠰⠈⣴⠃⠠⢁⠀⢂⡞⢀⠂⠐⢰⢇⡏⠀⠘⡖⠠⠈⠄⠃ ⠸⣀⠇⡜⡀⣧⠇⢧⠀⡘⢀⠀⢃⠀⠄⠘⠠⢀⠀⢇⡃⠀⠀⠛⠀⠀⠀⠀⠀⠘⠀⠀⢸⡸⠀⢃⠀⡘⣼⠀⠄⠘⡀⣿⢸⣸⡇⢃⠇⡘⢣⠘⡃ ⠱⣀⠒⠤⢡⠹⣞⠈⣷⠀⠠⢈⠠⠈⡐⠈⡐⠠⢈⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠐⡀⢂⣰⠃⠠⢈⠐⢰⠇⣰⡹⢄⠣⢘⠠⡁⠎⡐ ⡓⢤⢋⠖⡡⢎⣟⡆⠈⢧⡐⠀⠄⡁⠄⠂⠄⠡⠀⠂⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡒⠠⠁⡐⢰⠇⠠⢁⠂⡐⡞⢠⢧⡗⣄⢊⠤⣑⠠⢃⠔ ⣝⣦⣯⢾⣷⣻⣾⣹⡀⠘⢧⠀⠂⠄⢂⠁⠌⠠⢁⠂⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⠃⠠⠁⢄⡾⠀⠡⠀⠂⣼⠁⡾⣹⢒⡌⢎⠲⣡⢙⡌⢎ ⠟⡽⢚⡟⣾⢳⡿⣖⡇⠐⡈⢷⠈⢀⠂⠈⠄⠡⢀⠈⣳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢂⠁⣼⠠⠈⠄⡁⢢⠇⢸⣳⣿⣟⣾⢿⣳⣷⣻⢾⣾ ⠣⣜⠡⠒⡄⢋⠜⣻⣼⠀⡐⠈⣧⠀⠌⠐⡈⠐⡀⠂⢭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠄⠂⡏⠀⠌⠐⢠⡟⢀⡯⡟⢷⣻⡾⣟⡿⣞⣯⡿⣾ ⣃⢾⡁⢣⢌⡡⠚⡄⡾⡇⢀⠂⠘⣇⠠⠁⠠⢁⠐⠈⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠐⢸⠇⠁⡈⠐⡼⠁⣸⢱⡉⠦⢌⡹⢿⣽⢿⣽⣻⣽
♡~---👼.💕.🎠.🫶.--~♡
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◦•●◉✿ 𝓂𝓎 𝒻𝒶𝓋ℴ𝓇𝒾𝓉ℯ 𝓅ℴ𝓃𝓎 ✿◉●•◦ ⠀⠀⠀⠀⢀⢠⠴⠖⠉⠉⠉⠢⡀⢢⠉⠃⠶⣤⣀⢤⣄⣠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠋⠒⠒⠀⠤⣀⠀⠀⠱⡈⡄⠀⠀⢠⡟⠁⠘⣦⠀⢰⢠⢊⠕⣵⠀⢀⡠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡼⠇⠀⠀⠀⠐⠂⠠⠄⡈⠂⣄⡥⠓⠀⠀⠜⠀⠀⠁⠸⡄⢸⢁⠆⠀⠀⢠⠟⠁⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠁⠀⡠⠄⠲⠤⣄⡀⠀⣨⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⢀⡟⣎⠘⠀⠀⠠⡏⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⢸⠁⠀⠀⠀⣟⣭⠲⠃⠀⣴⠶⢦⡀⠀⠀⠀⠀⠁⣸⠁⢸⡆⠀⠀⠘⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⢸⠀⠀⠀⢤⡾⣌⠀⠀⢸⣓⡰⢦⡙⢦⠤⠀⠀⠐⡇⠀⢀⡃⠀⠀⠀⠀⠰⡿⠔⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡄⠈⣆⠀⠚⠋⣷⣸⠀⠀⢸⣿⣇⠀⣷⢈⠛⠯⠔⢰⠃⠀⢸⡿⠙⡆⠀⢀⠏⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⢄⠈⢆⠀⠀⣹⠟⠀⠀⠀⠻⣿⣿⣼⢺⡒⠀⢀⡞⠀⢀⢧⡁⠀⠇⣠⢤⡀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⡀⠑⣌⢧⡐⣠⠀⠀⠀⠀⠁⠀⢁⠀⣠⠎⠀⢀⠎⢎⡏⠀⡶⠁⢀⣧⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡈⠳⣍⠓⠒⠀⠠⣦⢴⡏⢁⡴⠃⠀⢀⠎⡜⢸⠁⠀⠁⢀⡾⠋⠂⠀⣀⡀⠠⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣄⠈⢢⡀⠀⠀⢹⢸⣧⠏⠀⠀⡰⠃⡜⠀⣏⠇⠀⠴⢫⣀⣴⡿⠛⠉⠀⠀⠀⠈⠉⠋⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡀⠄⣀⠀⠱⣣⠀⠱⡀⠀⣾⢸⡏⠀⢀⠞⠀⡜⠀⣸⠁⠀⠀⡠⠜⠛⠻⣄⠒⠒⠒⠢⢄⡀⠀⠀⠀⠫⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⢡⡶⠒⠵⢀⠿⡆⠀⢣⢠⡿⢌⠀⠀⡎⠀⡸⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⡎⠿⠳⣦⡀⠀⠈⠢⡀⠀⠀⢩⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⡈⠳⠆⠀⠞⠁⡇⠀⢸⡞⠀⢸⡀⢸⠀⢠⠃⢀⡏⡀⠀⠀⠀⠀⠀⠀⡄⠹⣼⠆⠈⢓⡄⠀⠀⠐⡄⠀⠀⠾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠶⣤⡄⠀⢀⣧⠶⡏⠀⠀⢰⣧⢸⠀⢸⠀⢸⠁⡇⠀⠀⠀⣠⠀⠀⠀⠘⣶⢀⡀⠈⣶⠀⠀⠀⢱⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢻⣾⡀⢸⠀⠸⣼⣝⣞⡆⠁⠘⠄⠀⠀⠘⠁⠀⣿⠀⠙⠀⠀⠀⢸⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⢠⠋⠳⣄⣣⠀⠙⠺⢣⡯⠀⠀⠈⠒⡄⠀⠀⠀⡟⠀⣿⠀⠀⠀⡘⠀⢠⠃⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡧⡀⢠⡇⠀⠀⠀⠙⢃⡆⠴⡏⠁⠀⠀⠀⢰⠀⠀⠀⠀⣧⡰⠆⠀⠀⡰⠁⡠⠃⢰⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⢰⡆⠀⠀⠀⢈⡇⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠀⠀⡰⢁⠔⠁⠀⣼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢖⡀⠀⠀⣜⠃⠘⣃⡀⠀⠀⣄⣵⠀⠀⠀⠀⣸⠀⢀⠜⡰⠁⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠶⠞⠃⠀⠀⠈⠁⠀⠉⠀⠐⢦⣤⢰⠞⠁⠀⠎⡌⢀⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⢸⢸⠀⠻⣥⣀⣀⣀⢀⡀⠀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣢⣸⡈⢄⠀⠀⠉⠀⢀⡀⠀⡀⠈⣉⠓⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠘⠋⠁⠀⠀⠛⠈⠁⠀⠀⠀⠉⠫⡎⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⣤⣇⣰
🍭🎂🍬🎪🎠🎡🎢🤹‍♀️🤹🤡٩(˵˃̶ω˂̶˵)◞

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