Strong Lucario Emojis & Text

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