Yippie Emojis & Text

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⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀@swtkiss_ (ig)
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠤⠤⠦⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡴⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⢤⡀⠀⠀⠀⠀ ⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⡼⠁⠀⠀⢠⣀⣀⣀⠀⠀⠀⠀⠀⣄⣄⣀⡀⠀⠀⠚⢷⠀⠀ ⠀⢰⡇⠀⠀⢀⣼⠋⣻⣿⣷⡀⠀⠀⣴⡟⢙⣿⣿⡄⠀⠀⠘⣇⠀ ⠀⢸⡇⠀⠀⠸⣿⣿⣿⣿⣿⠃⠀⠀⢿⣿⣿⣿⣿⠇⠀⠀⠀⡿⠀ ⠈⠻⣄⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠋⠉⠉⠁⠀⠀⠀⣼⠃⠀ ⠀⠀⠉⢧⣀⠀⠀⠀⠀⠀⠀⠒⠒⠶⠆⠀⠀⠀⠀⢀⣤⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠴⠾⠿⠶⠶⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢹⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣺⠀⠀⠀⠀⣄⠀⠀⠀⡀⠀⣀⡀⠀⠀⢽⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⣿⠀⠀⠀⡟⠉⣿⣇⠀⠀⣼⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⡟⣆⠀⢰⣿⣀⡇⢻⡄⢀⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⣤⡼⠁⠹⢦⠼⠃⠉⠀⠀⠋⠉⠁⠀
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pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⡀⠀⠀⣀⡀⢀⣀⠀⡄⢀⠀⢀⠀⠀⢀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⠄⢸⡠⠟⠸⠒⡇⠑⢊⢀⠏⡱⢀⠷⣏⠠⠿⠀⣸⢽⣼⠢⢺⡀⢢⠀⣆⡧⢀⠖⣀⠐⣴⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠀⠀⠁⠈⠀⠈⠁⠈⠐⠊⠀⠘⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠤⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⡞⢘⠤⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠘⠇⠀⠀⠀⣀⡴⠞⠋⠉⠉⠉⠉⠉⠛⠲⠦⣄⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠞⢱⡄⠀⠀⠀⠀⣠⣾⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠆⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⠁⠀⢀⣴⣯⣴⣟⠀⣸⡷⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠈⣇⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠇⠀⢀⣶⠛⠛⢻⣇⠀⠀⢀⣀⣀⣀⣸⣾⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⡟⠙⠿⠖⠋⠀⢠⣿⣷⣴⣶⣾⡿⢠⣶⡿⢛⣛⠛⢿⣿⣦⠀⢀⡤⢲⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢷⠀⠀⡀⠀⠀⠘⢿⣿⣟⢻⡿⢋⣿⡏⣰⣿⣿⣿⡌⢳⣿⡇⠀⢹⠖⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠳⢄⠀⠀⠈⠉⠉⠀⠨⣿⡱⡜⠻⠿⠿⢃⣼⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡿⠷⣿⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠃⠀⠀⠀⠀⠀⠤⠴⠚⠁⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⢀⡤⠀⣀⣀⡀⠀⠀⠀⣀⣤⠤⢤⣄⠀⠀⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠶⠞⠁⠀⠀⠀⠀⣿⠀⢀⡴⠋⢱⣤⡾⠙⢦⣤⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
(⚈_ ⚈) Yippe🎉
⠀⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡡⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠋⠉⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀
⠀⡁⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣷⣿⣿⣾⣦⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣶⣦⣾⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⣿⣿⣿⣷⣴⣦⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣆⣿⣷⣿⣿⠿⠿⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⢿⠿⣿⣷⣶⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⠟⠏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣿⣷⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣿⡿⡟⠻⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⠿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠌⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠡⠀⠀⠀⠀⠀⠀⠀⠚⢿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣼⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣷⣿⡿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣦⣾⣿⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠻⢿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣰⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣤⣦⣤⣼⣿⣿⣿⣿⠿⠿⠏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⠿⢿⣿⣷⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣷⣶⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠛⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠹⠿⠿⢿⣿⣿⣾⣶⣿⣾⣿⣾⣿⣾⣿⠿⠿⠿⠿⠿⠿⠿⠿⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢻⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⣿⣿⣿⠛⠛⣿⣿⠛⢻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠅⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⢸⣿⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠂⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡷⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡁⢿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠛⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⣿⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⡇⠀⠀⠀⣠⣿⣿⠀⠀⠀⢠⣿⣷⣄⠀⠀⠀⠀⠀⠀⢈⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢊⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡄⠘⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣧⣶⣶⣾⣿⣿⠛⠂⠀⠀⠀⢘⣿⣷⡆⠀⠀⢀⣀⣶⣿⡿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⢺⣿⠿⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣾⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣦⡀⠀⠀⠀⠀⠀⢀⣶⣿⣿⠛⠀⠀⠀⠈⢻⣿⣿⣦⡀⠀⠀⢀⣰⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣦⣤⣤⣠⣰⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣶⣶⣾⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠿⠿⠿⠿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠌⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⠠⠐⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⡿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠻⠿⢿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⠀⠀⠀⠀ ⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀ ⠀⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠿⠻⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠿⠻⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⡿⠁⠀⣰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀ ⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀ ⢰⣼⣷⠄⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀ ⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠻⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀ ⠀⠻⣿⣶⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀ ⠀⠀⠙⢿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠛⠛⠛⠛⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣶⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣦⣄⣀⡀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣿⠿⠾⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠿⢿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣶⣤⣤⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣏⠀⠀⠀⠀⠀⠀⠀⢸⡟⠉⠉⠉⣿⡏⢹⣧⠀⠀⠀⠀⠀⠀⣠⣿⡧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡇⠘⣿⡄⠀⠀⠀⠀⢀⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣸⣧⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⣿⡇⠀⣿⣧⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⣿⣿⣄⠀⣠⣿⡇⠀⢹⣿⡀⠀⠀⣤⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⢿⡟⠈⢿⣿⣄⠀⢀⠀⢰⣿⠻⠿⠿⠿⠛⠀⠀⠈⢿⣷⣤⣾⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣦⡀⠀⢀⣴⡿⠃⠀⠘⢿⣿⣦⣀⣠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠙⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠈⠳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀
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⠀⠀⠀⠀⠀⠀⢀⡴⠒⠒⠒⢦⡀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠤⠤⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡴⢋⡀⠀⠀⠀⣤⣽⣦⠀⠀⠀⢠⣞⠁⠀⠀⠀⡀⠀⠘⠳⡄⠀⠀ ⠀⠀⠀⢠⢾⣿⣿⢉⣧⠀⢼⣿⣅⣽⡆⠀⢸⣿⣏⣧⠀⣴⣿⡋⣹⡀⠀⠘⢧⠀ ⠀⠀⠀⢸⢿⣿⣿⣿⡿⠀⠘⠿⠿⠟⢹⢶⣸⣿⠿⠏⠀⡿⣿⣿⣿⠃⠀⠀⠈⡆ ⠀⠀⠀⢸⡊⠉⠉⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⣰⠇ ⠀⠀⠀⠀⢳⡀⠀⠀⠀⠐⢒⣂⣴⠞⠻⠞⠉⠙⢯⣀⡀⠀⠀⣀⣀⣀⣠⠖⠁⠀ ⠀⣀⣀⢠⠤⠼⠶⠖⠒⠋⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⡎⠉⠉⠁⠀⠈⠉⠙⠲⡄ ⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⡼ ⠀⠀⡶⠒⡖⠢⡄⠀⢀⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣀⣀⠀⠀⡇ ⣇⣠⣇⣀⠇⠀⢛⣀⡗⠻⣄⡞⠀⠀⠀⠀⠀⠀⠀⢯⢀⡠⣀⠀⣸⢹⣸⣀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠋⠛⠋⠻⡛⠛⠛⠃

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⣵⣾⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠈⠻⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣷⣤⡄⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠋⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⡄⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠟⡀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⠀⢸⡗⠴⢦⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢠⡞⠁⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢦⡄⠀⠀⠀⣠⣿⣿⣷⠀⣷⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⣠⠏⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣦⡄⠀⠀⠀⠀⠀⢘⣆⣿⠀⣠⠞⢿⣿⣿⣟⡀⡿⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⢻⣄⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠙⢦⡀⠀⢀⡴⠟⣽⣧⠞⠁⢸⣟⡿⠋⢸⣧⠃⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣝⡳⣄⡀⠀⢸⢷⡀⠀⠀⠀⠀⢠⡟⠁⠀⢠⡞⣡⡴⢋⡴⠟⠋⠙⢷⣄⣠⣿⢣⠞⠙⡿⠀⢰⠇⠀⠀⠀⠀⠀⠀⢀⣼⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡛⠟⠳⠬⠧⠙⢦⣀⠀⢠⡟⠀⠀⠰⠟⠛⠁⣴⠋⢀⣠⣴⣶⣿⡿⣽⣿⡏⠀⠀⡇⠀⣼⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢪⣷⡤⢤⣄⡀⠀⠀⠉⠙⠛⠀⠀⠀⠀⠀⢀⣾⣡⠶⢻⣅⣴⣿⡟⢀⣿⡟⢻⠀⢀⡇⠀⡏⠀⠀⠀⠀⠀⣠⣿⡿⢁⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⣼⣦⣤⣬⣽⣶⣄⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠁⣀⣤⠿⠛⠋⠀⣼⢹⢧⠈⠀⡾⠃⢸⠃⠀⠀⠀⠀⢰⣿⡟⢀⡏⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠈⣏⡷⣄⣈⣿⣼⣿⣷⡄⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⢀⡟⣿⢸⡴⠞⠁⠀⣸⠀⠀⠀⠀⢰⣿⡟⢱⠋⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⡄⠀⢀⣾⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠏⠀⠀⠀⠀⣿⠀⠀⠀⢀⣿⣿⢠⡏⠀⠀⠀⠀⠀⠀ ⡶⠀⠠⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣾⣿⠇⠀⠀⢸⡿⡄⠀⠀⠀⠀⠀⢰⣟⡁⠀⠀⠀⠀⠀⣰⡦⠀⠀⠀⠀⠀⢸⡇⢫⠀⠀⠀⠀⠀⡟⠀⠀⠀⣸⣿⡇⡜⠀⠀⠀⠀⠀⠀⢀ ⣧⣄⠀⠀⠀⠀⠀⠀⠀⠘⢿⠟⣿⣿⣿⠏⠀⠀⠀⡼⠀⣿⣦⡀⠀⠀⠀⠀⠈⣁⣀⣤⣤⣴⣾⡏⠀⠀⠀⠀⠀⣠⢾⡇⢸⡀⠀⠀⠀⠀⡇⠀⠀⢠⣿⡿⢠⠁⠀⠀⠀⠀⠀⠠⠋ ⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡟⠀⠀⠀⢠⠇⢠⠇⠈⠛⢦⣄⠀⠀⠀⠉⣿⣭⣭⣶⡿⠁⠀⠀⠀⣠⠞⠉⢸⠀⢸⡇⠀⠀⠀⠀⡇⠀⠀⢸⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⡄ ⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣠⠴⠶⢶⡞⢀⣾⣀⠀⠀⠀⠈⠙⠶⣄⣀⠉⠉⠉⠁⠀⠀⣀⡴⡿⠁⠀⠀⣸⡇⠈⣿⣷⣦⡤⠴⠟⠒⠒⠲⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠋⠀⠀⠀⡜⠁⣼⠃⠈⠙⠓⠶⠤⣄⣀⣀⡉⣻⡷⠤⠤⠴⠛⠁⠀⡇⠀⢀⣾⡿⠁⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠀⠀⠀⠀⡼⠁⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠀⠀⠀⠀⠀⠀⠀⠓⠚⣻⣿⣷⡀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡏⠀⠀⠀⠀⣼⠁⢰⠏⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⣿⣿⣿⡇⠀⢸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⠃⢸⠁⠀⠀⠀⣰⠃⣰⠃⠀⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠏⠀⢀⡾⠀⠀⠀⢰⠋⣰⢣⡞⠁⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⣁⣀⠀⢸⡇⠀⠀⠀⡞⣰⣿⠋⠀⠀⢀⣀⣤⡴⠛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⠃⢸⠃⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠛⠉⠉⠉⠉⠉⠉⠛⠛⠚⠛⠛⠛⠒⠒⠛⠛⠛⠋⠁⣴⡇⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⣼⡷⣤⣀⠀⠀⠀⠀⠀ ⠀⣼⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢹⣤⣤⣤⣴⣶⣾⣿⣿⣦⣀⠉⠙⠛⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠤⠤⣧⣏⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⢳⡈⠻⢿⣿⣤⣀⣀ ⣴⢻⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠈⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢳⠀⠀⠀⠈⠉⠉ ⠁⣾⠀⠈⠙⠲⢶⠶⢶⣦⣀⠀⠀⣇⠀⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀ ⠀⠇⠀⠀⠀⠀⢸⡄⠈⣧⠹⠆⢀⣸⣀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢠⡞⠁⣀⡄⠀⠀⠀⠀⠀⠀⠀⢀⣴⠗⠀⢸⠃⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠸⡇⠀⠘⠓⢶⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡏⢀⡾⠋⠀⣠⡤⢤⣤⣤⣶⠖⠋⠁⠀⠀⡾⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⢸⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠚⢁⣴⣾⣿⣿⠋⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⡿⢷⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⢸⡀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣸⠁⠸⡇⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠈⡇⠀⡇⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢠⠇⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⣷⠀⡇⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⡟⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠸⡄

Warning: This item may contain sensitive themes such as nudity.

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

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

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

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⢠⣶⡦⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣴⣶⡀⠀⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⢸⣿⣷⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⢸⣿⡇⠈⠀ ⠈⢿⣿⣆⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⣾⣿⠇⠀⠀ ⠀⠈⢿⣿⣧⣤⣄⣤⣿⣿⠃⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣦⠀⠀⠀⠀⠀⠀⢻⣿⣦⣀⣀⣾⣿⠋⠀⠀⠀ ⠀⠀⠀⠈⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⣠⣀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣄⣾⣿⣿⡆⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⡤⢤⡤⠤⢤⠦⢤⣄⣀⡀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡟⣿⣿⣤⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⣀⠀⣄⠀⣀⠀⠀⠀ ⠙⠿⠉⠟⠁⠾⠋⠰⠞⠉⠉⠉⠀⠀⠀⠀⠀⠸⣿⣿⡟⠀⠹⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠛⢿⢿⡿⢧⡾⢠⡼⠻⠚⠛⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠀⠀⠐⠀⠈⠉⠒⠒⠒⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢊⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⢀⠎⠀⠀⣠⠂⠀⠀⠀⠀⠀⠀⢀⠀⢰⠟⢷⣄⠀⠀⢀⠀⠀⠀⠀⠈⠳⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡣⢀⠎⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢀⠎⢀⠏⡇⠘⡌⢢⠀⠈⢆⠀⠀⠀⠀⠀⠈⢻⡀⡀⠉⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⢁⡎⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⡜⢀⡎⠀⡇⠀⢱⠀⠱⡀⠈⡆⠀⠀⠀⠀⠀⠀⢳⠀⠢⢄⠙⢆⠀⠀ ⠀⠀⠀⠀⠀⡾⠁⡼⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⡜⢀⠞⠀⠀⡇⠀⠀⢆⠀⠱⡀⠸⡀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠙⢆⣧⠀ ⠀⠀⠀⠀⢰⠃⢰⠁⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⡼⢀⠎⠀⠀⠀⠇⠀⠀⢸⠀⠀⢱⠀⢧⠀⠀⠀⠀⠀⡃⢸⠀⠀⠳⡀⢻⠀ ⠀⠀⠀⠀⡞⠀⡎⠀⠀⠀⡇⡞⠀⠀⡀⠀⠀⡼⢠⠎⠀⠀⠀⢸⠀⠀⠀⠈⡄⠀⠀⢇⠸⡆⠀⡂⠀⠀⢸⠈⡆⠀⠀⠱⡀⡇ ⠀⠀⠀⢠⠃⢰⠁⠀⠀⠀⣇⠃⠀⢀⠧⢤⣼⣵⣁⡀⠀⠀⠀⠇⠀⠀⠀⢀⡇⢀⣀⣼⣶⠿⠉⠃⠀⠀⢸⣠⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⣿⡄⠀⢸⠀⣸⡟⢁⣀⠬⠭⠿⣿⠛⠁⠀⠀⢸⣟⣻⣿⡧⢿⣄⡆⠀⠀⠀⢸⣿⠀⠀⠀⠀⢹⠄ ⠀⠀⠀⡌⠀⢸⠀⠁⠀⠀⢻⣇⠀⣼⣤⡿⠋⣽⣿⣿⣿⠻⡇⠀⠀⠀⠀⠸⢿⣽⣿⣿⡄⢹⣇⡇⠀⢀⣿⣿⡆⡆⠀⠀⡘⠀ ⠀⠀⠀⠁⠀⢸⠀⡀⠀⠀⠘⣿⡄⣿⣿⡁⢰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⣸⣿⡇⠀⣾⡸⠹⡇⡇⠀⠀⠇⠀ ⠀⠀⠀⠀⠀⢸⡀⡇⠀⠀⠀⢻⠛⣿⡏⠣⠘⢿⡛⢻⡿⠁⠀⠀⠀⠀⠀⠀⠀⠻⠿⠟⠀⠁⢏⣇⡎⢹⠃⠀⣷⠁⠀⡜⠀⠀ ⠀⠀⢠⠀⠀⢿⣇⢹⠀⠀⠀⠈⡇⡏⠁⠀⠀⠘⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣀⡀⠸⣿⡇⢸⠀⠀⣿⢻⠙⡇⠀⠀ ⠀⠀⢸⢀⠀⢸⠘⡌⣇⠀⠀⠀⢣⡇⠀⠀⠀⠈⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⢠⣷⠃⣘⡀⢠⣇⡆⠀⡇⠀⠀ ⠀⠀⣮⠏⠀⢸⠀⠸⡜⡄⠀⠀⠘⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢠⢾⣿⠀⣆⣇⣸⢿⠃⠀⠇⠀⠀ ⠀⢰⡟⠀⢠⢸⠀⠀⣿⣾⡄⠀⠀⢹⡗⢄⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢀⠴⡏⢸⡏⠀⠸⣿⠃⡜⠀⠀⠀⠀⠀ ⠀⡿⡇⢰⢻⠈⡇⠀⣿⠸⣿⡄⠀⠀⢻⡀⢈⣲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⡇⠀⣃⣈⣁⣀⣀⣿⡟⠀⠀⠀⠀⠀⠀ ⢸⠃⡇⢸⢸⠀⢣⠀⡇⢀⡏⢹⣄⣀⣀⣻⣿⣟⣀⡙⢿⣶⣦⡤⠴⠒⠚⠟⣻⣽⡿⠟⠋⠁⣰⠿⠟⣻⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⣿⣟⡄⠘⢸⣧⠞⠻⠿⣷⣿⣿⣿⣿⠿⢿⣿⡿⠟⠁⠀⠀⣠⣴⣿⠟⠉⠀⠀⣠⣾⠃⠀⡘⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣯⢹⣇⢠⣿⠂⡀⠀⣴⣋⡿⠛⠉⢀⣾⡿⠋⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⢠⡞⠁⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⢿⡟⠀⠄⠐⠂⠀⠁⠀⠀⢠⡿⠋⠀⠀⣠⠀⢘⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠶⠋⠀⢀⡴⠛⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠻⢿⣷⡾⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣀⣠⡶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⡷⣶⣾⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣄⣀⣀⣀⣒⡀⠉⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡤⠤⢴⠖⠒⠛⠉⠉⠉⠉⠉⢹⣠⠋⠘⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠙⠛⠛⠛⠻⠿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⠋⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⡿⠃⠀⠀⣠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠈⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀ ⠀⣰⣿⣿⠁⠀⢀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀ ⢠⣿⣿⠇⠀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀ ⣼⣿⡟⠀⢸⣿⣿⠟⠀⢀⣴⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀ ⣿⣿⡇⠀⠀⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⢹⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⢠⣾⣷⡄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇ ⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠀ ⠀⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣷⣶⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠃⠀ ⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀ ⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣷⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣠⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⡘⢀⠀⠀⢀⡀⠤⠒⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⡀ ⠀⣾⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢠⣾⠀⢀⣠⠤⠶⣶⠗⢿⠿⣯⣤⡀⠒⠉⠉⠉⠉⠉⠉⢀⣀⣤⠴⠖⠚⠋⡩⠋⠙⣇⢻⡇ ⠀⣿⡏⠘⢭⡉⠛⠓⠦⢤⣤⡴⢃⡷⠚⠉⠀⠀⡠⠃⢀⡏⠀⠀⠀⠈⠉⠑⠒⠠⠴⠶⠯⣩⠄⠀⠀⠀⣠⡾⢄⣀⠀⢿⠈⣧ ⢰⣿⡇⠀⠀⠙⢆⠀⠀⡰⠋⣴⣿⠖⠈⠁⢀⡔⠁⢀⠎⠀⠀⠀⠀⠀⠀⠀⠉⠑⣲⢷⣯⣀⠀⠀⢀⡴⠋⠀⢤⡀⠀⢸⣿⣿ ⣾⣿⣇⠀⠴⢂⣉⣷⣾⠁⡜⡱⠁⠀⣀⡴⠋⢀⣴⢁⣀⣀⠈⠉⠑⠢⠤⣀⠉⢉⡠⠊⠉⠢⢍⠙⠛⠒⠒⠒⠒⠛⠆⢸⣿⡏ ⢸⣿⣿⠀⢠⠎⠀⡼⠁⠛⠰⢁⠴⠊⠁⠀⠀⠁⠀⠀⠀⠀⠀⠁⠒⢤⡀⠀⠉⠛⠔⠢⢄⠀⠀⠙⠢⡀⠀⠀⢠⢄⣸⣸⣿⡇ ⠀⣿⣿⠀⡎⠀⢀⡇⠀⢀⡞⢁⡠⠀⠀⠀⠀⠀⠠⢄⠀⠀⠀⠀⠀⠀⣈⠢⡀⠀⠀⠀⠀⠙⠄⠀⠀⠈⢢⡀⢸⡀⠈⢹⣿⠀ ⠀⢿⣿⡆⢰⣠⡾⡇⠀⣾⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠑⠻⡄⠀⠀⠀⠀⠈⢆⠀⠀⠀⠹⡞⠃⠀⣾⡟⠀ ⠀⠸⣿⣷⠀⠸⢧⠘⢄⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠘⣆⢸⣿⠃⠀ ⠀⠀⠹⣿⣧⠀⠈⢳⣬⣳⡤⠤⠤⢤⣀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠒⢦⣀⠀⠀⠀⠁⠀⠀⠀⠀⢹⡆⠏⠀⠀ ⠀⠀⠀⠹⡽⣧⡀⡼⡿⡇⢳⠤⢄⣀⣽⣷⣶⣌⠙⠲⣤⡤⣀⣀⡉⠾⢯⣭⠭⠶⣶⣤⡉⠑⢄⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣧⣷⠘⣦⣧⣾⠋⠁⠀⠈⠑⠠⢄⣈⠑⠤⣀⠈⠉⢒⡼⣶⣄⠀⠉⠓⢄⠀⠳⣦⡀⠀⠀⠀⡀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⡿⡀⢿⣏⠁⠀⠀⠀⠒⠤⢄⠀⠀⠁⠈⠉⠉⠉⠁⠀⠀⠙⣧⠀⠀⠀⠑⢄⠙⡝⢄⠀⠀⢇⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⢳⣾⣿⡆⠀⣠⣴⣶⣷⣶⣦⡄⠀⠀⠀⠀⠀⣿⣿⣷⣶⣦⣤⣄⡀⠀⢨⢧⣸⡄⠳⣤⡘⢾⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡴⠛⡆⣿⣿⣿⣿⣿⡛⠁⠀⠈⠉⢁⣦⡤⠀⠀⠀⠉⠙⠳⣜⣯⡭⠻⢿⣦⡎⡼⣿⡟⣄⡼⠑⠚⠃⠀⠀ ⠀⠀⠀⠀⢠⡾⠋⠀⢀⡟⠉⣿⡏⠛⠛⠀⠀⠀⠀⠀⢀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣿⣤⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠁⠀⢠⡟⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠘⣿⠟⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠟⠁⠙⠧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⠀⠀⣞⠀⠀⠀⠀⠈⡏⠳⠦⣄⣀⠀⠀⠀⠘⠦⠤⠞⠀⠀⠀⠀⣀⣠⡤⣴⠾⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠘⢆⠀⠀⠀⠀⠙⢦⣄⠀⠈⠙⢷⣶⡶⠿⡶⠦⠤⠴⢶⣾⠟⠉⠀⠀⠈⢹⠳⣤⡤⠖⠒⠋⠙⠲⡄⠀⠀ ⠀⠀⠀⠈⣆⠀⠀⠀⠀⠙⠒⠤⠤⠤⠤⢬⠟⠀⠀⠀⣼⠀⠘⠃⠀⠀⠀⡟⠀⠀⢀⣀⣤⠴⠋⠀⢹⠀⠀⠀⠀⠀⠀⢻⠀⠀ ⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠋⣹⡇⠀⠀⠀⡟⠊⠉⣿⠀⠀⠀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⠤⠤⢤⡞⠀⠀⠀⠀⣸⢻⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠘⣧⠀⠀⢸⠁⢀⡼⠃⠀⠀⡸⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⢀⡟⡾⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠘⡇⠀⣎⡠⠊⠁⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣼⣷⠃⣀⣀⣀⠀⠀⠀⠸⣇⠀⠀⠀⠀⢀⣼⠯⠤⠤⠔⠚⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⡶⠖⠛⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⢹⣤⣤⡤⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠂⠀⠀⠉⠀⠀⠒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⠃⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠁⠠⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣔⢡⠃⢀⠊⠀⠀⠀⢀⠆⢬⢹⢂⠐⠄⠀⠀⠈⢲⠒⠢⡀⠀⠀ ⠀⠀⠀⢰⢃⠂⠀⠆⠀⠀⠀⠀⠌⡜⢸⠀⠆⠣⠘⡀⠀⠀⠀⢣⠂⢍⢂⠀ ⠀⠀⠀⠇⡌⠀⠘⠀⠀⠀⠀⡜⠜⠀⠸⠀⠸⠀⢡⢡⠀⠀⠀⡀⡀⠠⡙⡀ ⠀⠀⢰⢠⠀⠀⣇⠁⢰⡀⣜⠌⠀⠀⡆⠀⠀⠆⠀⣎⡦⠇⠀⠀⠇⠀⢡⠃ ⠀⠀⠀⢸⠀⠀⣿⠀⡀⣸⣋⣉⣁⣲⠊⠀⢸⣿⣿⡽⣴⠀⠀⣸⣀⠀⠈⠆ ⠀⠀⠃⢸⠀⠀⢸⡆⣿⡏⣼⣿⣷⠁⠀⠀⠀⢹⣿⡇⣸⡇⢠⡟⡇⠀⢰⠀ ⠀⠀⠀⢸⢠⠀⠀⠏⠿⠑⠙⣭⠟⠀⠀⠀⠀⠈⠿⠅⠘⣷⢹⠁⣷⡠⡂⠀ ⠀⢰⡀⢸⢋⠄⠀⢰⡇⠀⠐⠐⠂⠀⠀⠀⠀⠀⠈⠉⠀⣿⠈⡀⣇⠁⡇⠀ ⠀⣼⠁⢸⠈⣾⡀⠀⢷⣀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢀⡌⡟⠰⡷⡻⠀⠁⠀ ⢠⠃⠘⠈⠀⡇⡷⡀⠘⢆⣵⢤⣀⡀⠀⣀⣀⣠⣐⣁⠥⣥⣤⡿⠁⠀⠀⠀ ⠈⢰⣶⡄⢣⡧⠷⢿⣶⣾⠷⣶⡿⠛⠉⣠⣴⠟⠉⣠⡞⠉⠎⠁⠀⠀⠀⠀ ⠀⠈⠇⢧⠞⠀⡔⠛⠋⢁⡾⠋⠀⠀⡾⠛⠁⠀⠰⠁⡇⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⠐⢸⠀⠀⠀⠀⠰⡊⣀⠔⠉⠈⠀⠀⠀⠀⠀⠀⠐⢄⡘⣶⠖⠀⠀⠀ ⠀⠀⠀⢸⣆⣀⣀⡄⠒⠋⠁⠀⣀⣀⣀⠀⡤⠤⠄⠀⠐⢺⡝⢣⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⡾⠛⠛⠛⠛⠛⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀ ⠀⠀⢸⡩⠋⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀ ⠀⠀⠀⢹⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀ ⠀⠀⠀⣼⡇⠀⠀⠀⢀⣤⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⢠⣿⠋⣿⠿⠙⢿⣿⣦⠀⠀⠀⠀⢸⣿⣿⣿⣍⡀⣼⣿⣿⡆⠀⠀⠀⢰⣦⠖⢾⡧⠤⡄ ⠀⠀⠀⢻⣇⣶⠀⢸⣿⠀⢿⣶⣄⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣷⣿⣿⢸⣷⢠⣄⢿⣆⠙⠙⣆⣈⣻⠇ ⠀⠀⠀⠘⣿⡿⣶⣾⣿⡀⠈⢿⣿⣿⣿⠿⢿⡇⠀⠀⠈⣿⣿⠿⣿⣿⣿⡟⢸⣿⠀⢿⣆⢻⣧⣼⡟⠀⠀⠀ ⣶⣤⣿⠀⠹⣷⡻⢿⡟⣿⡄⠀⠙⢿⣿⣦⣨⣿⠐⠉⠁⠸⣿⣄⣼⣿⠟⠁⣸⡟⠀⠘⠿⠀⣰⡿⠀⠀⠀⠀ ⠀⠉⠛⠀⠀⠹⣧⡚⠃⠈⢿⣦⡀⠀⠈⢛⣿⠇⠈⠉⠉⠁⠙⢿⣍⣁⣀⣰⡿⠁⠀⠀⢀⣼⠟⠀⣶⣴⠟⠀ ⠀⠀⠀⠀⠀⠀⠘⠿⣦⣀⠀⠉⠻⠷⠶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⠋⠀⢀⣠⣴⠟⠁⠀⠀⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣶⣤⣀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣥⡶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠷⠶⠶⠶⠶⠶⠶⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⢦⡤⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⡤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀ ⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡇⠀⠀ ⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⡇⠀⠀ ⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀ ⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡃⠀⠀ ⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠀⠀⠀⠀⠠⢤⣤⡄⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣦⣀⠀⠀⢀⣠⣴⣿⣿⡿⠁⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣼⣿⡶⠆⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⣸⣿⡄⣰⣿⣦⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⡀⠀⢀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⣿⣿⡄⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡴⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠋⠀⠀⠀⠀⠀⠀⣠⢤⣄⠀ ⠀⡾⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⢹⡄ ⣼⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⢸⡇ ⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢸⡇ ⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⡿⠀ ⠹⣆⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⣼⠃⠀ ⠀⠉⠙⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠋⠁⠀⠀
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