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⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠄⠀⠒⠂⢀⡤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠔⢈⠀⠀⡿⠀⢀⣤⡄⠈⠋⢁⣀⠀⢈⡒⢄⠀⠀⠀⠀ ⠀⠀⣠⠊⣁⡀⠉⠋⠀⣦⠀⠀⠁⢀⠀⠀⠀⠛⠀⠘⠃⣄⠑⢄⠀⠀ ⠀⡔⡁⠀⠉⢁⣄⠄⠀⠈⠀⣶⠀⠈⠛⠀⣠⠄⠶⠦⠀⠑⠀⢬⣧⠀ ⡐⠀⠿⢠⢄⠀⣀⠀⠀⡠⠄⠠⠔⠉⠢⡀⠉⠀⠀⢀⣴⠆⠀⠈⠁⢣ ⠃⣤⠄⠀⢁⣄⠙⠀⠘⠀⡠⠒⠉⠉⠒⢄⠉⢢⠀⠀⢀⡀⠟⠃⢴⡤ ⡀⠀⢔⡀⠈⠋⠠⢄⠰⡜⠀⠀⠀⠀⠀⠀⠱⡜⢠⡤⠈⠛⠁⢀⣄⢀ ⡇⠀⣀⡀⠀⠀⠀⠉⠀⠘⠢⣀⠀⠀⠀⡠⠊⢀⠈⠀⠀⢸⡄⠈⠁⢸ ⠰⡌⠋⠀⠰⣂⠛⠃⠀⢰⣆⠀⠈⣯⡁⢀⡀⠈⠋⠀⣔⠆⠀⠸⢆⡎ ⠀⠸⡐⠂⠤⢀⠀⢶⠀⠀⣈⡀⠀⢈⡅⠈⠘⡁⠀⠶⠅⡀⠠⠒⡙⠀ ⠀⠀⠐⡄⠀⠀⠱⡀⠀⠀⠉⢁⡠⢏⠁⠀⠚⠁⠀⢠⠊⠀⢀⠜⠀⠀ ⠀⠀⠀⠈⠢⠀⠀⠈⠒⠀⠂⠁⠀⠀⠉⠂⠤⠤⠐⠁⢀⠴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠠⢄⡀⠀⠀⠀⠀⠀⠀⣀⡠⠄⠂⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⠤⠤⠶⠒⠒⠒⠲⠦⠤⠤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠋⠁⣘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠯⢤⡤⠀⠉⠉⠛⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠁⠀⠀⠀⠀⢘⣯⢿⠂⠀⠀⠀⠀⠀⢀⠀⠀⠀⠛⠛⠋⠃⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⢠⡤⢤⣤⡀⠀⠀⠻⠛⠀⠀⠀⠠⣿⣯⣽⠛⠀⠀⠀⠀⠀⠀⠰⣶⣶⠀⠀⠀⢠⣼⢻⡄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠈⠛⠓⠛⠀⠀⣠⣤⣄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣼⡆⠀⠀⠈⡿⠟⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠏⠀⢠⡤⠤⣤⠀⠀⠀⠀⠀⠀⠀⠨⣷⣽⡀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢦⡄⠀⠘⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠃⠀⠀⠘⠛⠛⠃⠀⠀⣀⣤⣀⠀⠀⠀⠀⠉⠀⠀⡶⣦⠀⠀⠀⠈⠻⣭⣿⠀⠀⠀⢀⣀⠀⢀⣶⣴⣀⠀⠀⠈⠻⣼⡇⠀⢐⣅⠹⡄⠀⠀⠀ ⠀⠀⢠⡏⢰⣆⠀⠀⠀⠀⠀⠀⠠⣾⣯⠿⠛⠀⠀⠀⠀⠀⠀⠀⢿⣼⠀⠀⠀⠀⠈⠁⠀⠀⠀⣴⠟⡿⠀⠈⠛⠲⠿⠇⠀⠀⠀⠀⠀⠀⢸⡟⢷⠼⣆⠀⠀ ⠀⢠⡏⠀⢸⣹⡇⠀⠀⡀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠳⣄⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⢠⣠⡀⠀⠀⠀⠘⠛⠋⠀⠹⡆⠀ ⢀⡾⠀⠀⠘⠙⠃⠀⢼⣻⡆⠀⠀⢠⢷⡄⠀⠀⠀⠀⣠⠞⠋⠉⠉⠛⠛⠁⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣯⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⢸⠃⠀⠀⠀⠀⠀⠀⠸⢷⠏⠀⠀⢺⣦⣷⠀⠀⠀⡾⠁⠀⠀⠀⠀⣀⣠⠤⠤⠤⣄⣀⠀⠈⠓⠲⠦⣀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⡶⢖⣲⡆⠀⡀⠀⠀⢧ ⡜⠀⣶⣒⣺⡆⠀⠀⠀⠀⣐⣤⢄⠀⠈⠀⠀⠀⢸⠁⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠈⠙⠶⣄⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⢀⡀⠸⠿⠉⠁⠁⠸⣿⣓⣶⢸ ⡇⠀⠈⠉⠉⠀⠀⠀⠀⠘⢿⣍⣷⠆⠀⠀⠀⠀⢸⡀⠀⣶⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⡀⠀⢸⡇⠀⠀⠀⠀⠘⢿⣙⣶⡆⠀⠀⠀⠀⠀⠉⠋⢸ ⡇⠀⠀⠀⠠⢹⢳⡄⠀⠀⠀⠉⠉⠀⠀⡴⣤⠀⠉⣷⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⡟⠁⢀⣴⢶⣄⠀⠀⠹⠛⠁⠀⠀⠀⣠⣤⠀⢀⢸ ⣿⠀⠀⠀⠀⠘⠿⡇⠀⠀⠀⠀⠀⠀⠀⢿⣼⡄⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠺⠾⠋⠀⠀⠀⠀⣄⠀⠀⠀⢸⣷⡟⠀⢸⡼ ⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠙⠶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣇⠀⠀⠀⠉⠀⠀⢠⡇ ⠸⣇⠀⠀⣴⢖⣳⠆⠀⠀⠀⠀⠀⢀⣤⣴⣶⠀⠀⠀⠀⠀⠀⠉⠙⠶⠤⣄⣀⣀⣀⣤⠶⠞⠉⠀⠀⢀⣶⠶⣄⡀⠀⠀⠀⠀⠈⠛⠛⠀⠀⣀⡀⠀⠀⣸⠇ ⠀⠸⣆⠀⠙⠚⠁⠀⠀⠀⣴⡶⡄⢻⡷⠚⠋⠀⠀⠀⠀⣶⢶⡀⠀⠀⠀⠀⢔⣤⣀⠀⠀⠀⠀⠀⠀⠀⠨⠓⠛⠁⠀⠀⣠⡶⣶⡇⠀⠀⠈⣧⣱⠀⢠⡟⠀ ⠀⠀⠹⣧⡄⠀⠀⠀⠀⠀⠘⢷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠿⣦⣷⠀⠀⠀⠀⠙⣿⣿⡆⠀⢀⣶⡦⣄⣀⠀⠀⠀⠀⠀⠠⣿⠾⠃⠀⠀⠀⠀⠈⢙⣱⣿⠃⠀ ⠀⠀⠀⠸⡏⠳⣤⣄⣀⣀⣀⠀⠀⠀⠀⠴⡟⣦⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠩⠓⢻⠋⠀⠀⠀⢀⣤⣤⣨⠀⠀⠀⠀⢀⣠⡴⠚⢱⠇⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⠉⠙⠓⢦⡀⠀⠀⠻⢿⠀⠀⠀⢀⣠⣤⢼⡄⠀⠀⢀⣤⡴⣿⠀⠀⠀⠀⢀⣠⡄⠀⠀⠘⠓⠲⠛⣀⣤⠴⠚⠋⠁⠀⣰⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠈⠻⠿⠋⠀⠀⠀⠼⠿⠛⠋⠀⠀⠀⣴⣿⡴⠃⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠿⠳⢦⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢠⡞⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⣀⣤⠞⠋⠀⠀⠀⠀⠉⠓⢤⣀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠐⠒⠚⠉⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠒⠤⠤⠤⣤⣤⣤⡤⠤⠤⠤⠒⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠤⠒⠒⠎⠉⠉⠉⠩⠉⠒⠒⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠂⠈⠁⢂⣀⠤⠠⠤⠄⡀⠀⠀⠀⠂⠀⠐⡄⠀⠀⠀⠀⠀ ⠀⢀⡔⠁⠀⠈⠀⢰⣊⠤⠒⢒⣙⠶⠃⠀⠀⠐⠂⣠⠤⢧⠀⠀⠀⠀⠀ ⠀⡜⠀⠀⠁⠀⡀⠀⠉⠉⢉⠁⠀⠀⠘⠀⠀⠀⢠⠇⠀⢰⡄⠀⠀⠄⣀ ⠀⢲⠤⣄⠀⠀⠁⠀⢀⣀⡁⠀⠀⢀⠞⠍⠭⠭⠑⠀⠀⡸⠂⠀⠀⠀⠀ ⠀⢘⡀⠈⠢⣈⣠⡚⠁⠒⠩⠷⠖⠍⠀⠀⠀⢀⠀⢼⡒⠃⠀⠀⠀⠀⠀ ⠀⠀⠸⢜⠀⢉⢉⠀⠀⠀⠀⢀⢀⠀⢀⡴⢄⡠⠕⠉⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠢⠤⠦⠦⠤⠭⠬⠖⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡖⠒⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡇⠀⢠⢧⡴⠖⢦⢰⠞⠲⡄⡆⠀⣶⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠳⠦⠚⠘⢧⣀⡼⢸⠀⠀⡇⢧⣠⣿⠀⣧⡄⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠖⠛⠛⠉⢉⠉⠉⠙⠛⠛⠻⠷⣦⡀⠀⠀ ⠀⠀⣰⠉⠀⠀⠖⡄⠀⠘⠁⠀⢠⡰⠀⠀⠀⣨⡝⢦⠀ ⠀⢀⣯⠯⠃⠀⠀⠀⢐⣤⣤⣤⣄⡀⠈⠁⠀⠀⠀⠈⡇ ⠀⡜⠁⠀⠀⡀⠀⡴⠛⠈⠉⠙⠺⡻⣦⠀⠀⠲⠆⠀⢹ ⢀⡷⡦⠀⠘⠃⢸⠁⠀⠀⠀⠀⠀⣻⣿⠀⠀⠀⠀⠀⣿ ⠘⠿⠁⠀⠀⠀⠈⢆⠀⠀⠀⢀⣴⣿⠏⢶⠄⠀⠖⢠⡏ ⠀⢗⢒⣤⣄⠀⠀⠀⠉⠙⠛⠛⢩⡄⠀⠀⠀⠀⠀⡾⠁ ⠀⠈⢧⣸⠱⠆⠀⠀⠁⠀⠀⠀⠀⢀⡠⢤⠀⣠⠞⠁⠀ ⠀⠀⠀⠉⠻⢬⡩⡉⢭⡑⡂⢐⣪⣵⣲⡾⠞⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠛⢿⣿⣿⣿⡟⠋⣉⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⣄⣽⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⠿⣿⣿⣋⠙⢿⣷⣄⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⣿⠟⠛⠛⣿⣿⠿⠟⠛⠛⠻⠤⣶⣿⣿⣿⠷⢶⣿⣿⣷⡄⠀⠀ ⠀⢠⣿⡿⠿⣿⣿⣾⣿⣿⣿⠁⣴⣾⣿⣿⣷⣦⠈⣿⣿⣤⣴⣶⣿⣿⣿⠿⠀⠀ ⠀⠈⢿⣷⣦⣴⣿⣿⣿⣿⣿⣦⣤⣈⣉⣉⣁⣤⣴⣿⣿⣿⣿⣿⣿⣿⣥⣴⡆⠀ ⠀⠀⡈⠻⣿⡿⠟⠛⠿⣿⣿⣿⠿⠟⠛⣿⣿⣿⣿⣿⣟⡉⠻⠿⠛⠻⢿⠟⠁⠀ ⠀⠀⠘⣦⣤⣤⣶⣷⣆⠘⢿⣿⣷⣶⣾⡿⠛⢉⡉⠛⠿⡿⠂⣠⣾⣶⣤⠀⠀⠀ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⡌⠻⣿⡿⠋⣠⣾⣿⣿⣷⣦⣤⣾⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠤⠤⢤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⣉⣀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣥⡌⠉⠉⠒⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠉⠀⠀⠀⠀⢽⣽⠁⠀⠀⣠⡤⣄⠀⠀⠉⠉⠁⣀⣀⠀⠀⠀⢈⣝⠢⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠸⠯⣿⠆⠀⢀⡁⠀⠀⠈⠻⠛⠁⠀⠀⠀⠀⠀⢽⣽⡄⠀⠈⣿⡟⠀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⢠⠤⢤⡄⠀⠀⠀⠀⠀⢿⣹⡀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠉⠁⠀⠀⠁⠀⣶⢦⡀⠈⢣⡀⠀⠀⠀ ⠀⠀⢠⠞⠀⠀⠈⠉⠉⠀⢀⡤⣤⠀⠀⠀⠈⠀⢰⢲⠀⠀⠀⠙⡯⠗⠀⢀⣤⡀⢨⣷⢤⡀⠀⠙⠯⠇⠀⣽⡙⡄⠀⠀ ⠀⢠⠏⢸⢦⠀⠀⠀⠀⠀⠿⠚⠁⠀⠀⠀⠀⠀⠈⠛⠀⢀⡤⢄⠀⠀⠀⠿⠽⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠷⠽⠘⡆⠀ ⢀⡏⠀⠸⠾⠀⢰⢦⠀⠀⢠⣆⠀⠀⠀⢀⡠⠖⠒⠲⠖⠋⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⣠⣟⡟⠂⠀⠀⠀⠀⠀⠸⡄ ⢸⠀⠀⢀⠀⠀⠘⠿⠁⠀⠸⢾⠆⠀⢠⠏⠀⠀⢀⣠⠤⠤⠤⠤⣄⡈⠑⠒⠤⡀⠀⠀⠀⠈⠉⠀⢀⣖⣲⠆⢀⣀⠀⢣ ⡎⠘⠿⠿⠁⠀⠀⢠⡵⣔⡂⠀⠀⠀⢸⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠉⠲⡄⠀⢹⡆⠀⠀⠀⣠⣶⣒⡉⠀⠀⠈⠻⢽⢸ ⡇⠀⠀⢀⡶⡄⠀⠀⠙⠛⠁⢀⣄⠀⠾⣄⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⡸⠃⢀⣤⡀⠀⠛⠾⠃⠀⠀⣀⡀⠀⢸ ⣿⠀⠀⠀⠛⠿⠀⠀⠀⠀⠀⠘⣮⡆⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠻⠛⠁⠀⠀⣀⠀⠀⢰⣷⠇⠐⡼ ⢹⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⢀⡠⠚⠁⣀⡀⠀⠀⠀⠀⠀⣯⣧⠀⠀⠀⠀⢀⡇ ⠈⢧⠀⠿⠵⠋⠀⢀⣤⡀⢰⣻⠿⠀⠀⠀⣀⣄⠀⠈⠉⠓⣖⠒⠋⠉⠀⠀⠀⢛⠭⠶⠀⠀⢀⣀⡀⠀⠀⢶⢦⠀⣸⠁ ⠀⠈⢧⡄⠀⠀⠀⠀⠳⡿⠈⠀⠀⠀⠀⠀⠻⣼⡄⠀⠀⠐⢿⣻⡄⠀⣶⠤⣀⠀⠀⠀⠀⢰⡯⠞⠁⠀⠀⠈⢛⣴⡏⠀ ⠀⠀⠈⢏⠓⠶⠤⢤⣄⠀⠀⠀⢺⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡅⠀⠈⠉⠏⠀⠀⠀⣶⠦⡆⠀⠀⣀⡤⠖⠉⡜⠀⠀ ⠀⠀⠀⠈⢆⠀⠀⠀⠀⠉⠢⡀⠈⠙⠀⠀⠠⣶⡯⠗⠀⠀⣶⡯⠟⠀⠀⢠⣖⡆⠀⠀⠈⠉⡥⠖⠉⠁⠀⢀⡜⠁⠀⠀ ⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⢀⡠⠶⢤⡀⠀⠀⠀⠙⠉⠀⠀⠀⢀⠞⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠈⠲⢄⣀⣀⡠⠖⠉⠀⠀⠀⠈⠓⠤⣀⡀⠀⠀⢀⡴⠋⠀⠀⠀⣠⠜⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠒⠤⠤⠤⠤⠤⠤⠤⠔⠒⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠠⠤⠄⠀⠒⠒⠒⠒⠒⠒⠀⠤⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀ ⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀ ⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠻⠦⢄⣀⣤⣶⡦⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀ ⠀⡇⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀ ⠀⢡⠀⡏⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣇⠀ ⠀⢸⡀⢷⡀⢳⣀⣄⠀⢠⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⣷⣿⡄ ⠀⣸⡇⢨⣷⣄⠀⠘⡄⢸⠀⡇⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⠀⠀⡔⢳⢰⣁⣞⡩⠞⠀ ⠘⣇⠻⠿⡿⣿⠷⡀⠱⣸⠄⢻⠀⠀⡼⠋⠈⠙⠢⡀⠀⠀⠀⢀⠔⠒⢦⡀⠀⠀⠀⠀⠀⠀⢀⡎⠀⢸⠀⡜⠀⣸⣾⢻⠀⠀⠀⠀ ⠀⠘⠧⣤⣀⣀⣠⠾⢻⣿⢆⠀⢧⣀⡇⠀⠀⠀⠀⢱⡀⠀⣰⠁⠀⠀⠀⠳⣄⣀⠜⢉⠀⠀⡜⠀⢀⡎⢰⡧⢾⣋⣡⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⡛⢓⡦⣄⡀⠀⠀⠀⠀⠀⡇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣠⡞⣀⣴⣿⡿⠛⠇⡸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠈⠙⠒⢦⠤⢴⡇⠀⣿⣄⣀⣀⣀⡤⢤⣶⣿⡿⠛⠙⢦⣀⢀⣀⣀⠼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠺⠇⠀⡾⠟⠀⡼⠃⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⣀⣀⣤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡴⠶⠶⠶⠶⠶⠶⠶⠶⠦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⣛⣋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠶⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠋⠁⠀⠀⢻⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣦⠀⠀⠀⢀⣤⠖⠛⢻⡿⠀⠀⠀⠀⠀⠀⣼⡄⠀⠀⠀⠈⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠾⠏⣴⡤⢤⣤⣄⡀⠀⠀⠀⠁⠀⣀⠀⠙⠉⠀⠀⣰⣋⣠⣤⠞⠋⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡾⠁⢀⠀⠛⠶⢦⣄⣈⣉⡷⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠰⣾⠶⢤⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⣾⡁⢰⠏⠀⠀⠀⠀⠀⠈⠁⢀⡴⠚⠁⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠒⠂⠒⠶⠦⢤⣄⣀⠀⠈⣿⡟⠀⠀⠀⠀⠀⠙⢦⡀⠙⢶⣼⣷⣀⠀⠀⠀⠀⠀ ⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠞⢋⡀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠾⠇⠛⢿⣆⠀⠀⠀⠀ ⠀⡿⠛⠶⣤⣤⡀⠀⠀⠀⠀⠸⣍⠙⠳⣦⡄⠀⠀⠀⣿⠀⠀⢠⣤⡴⠶⠶⢦⣤⣄⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣧⠀⠀⠀ ⠀⡇⠀⠀⠀⠈⠙⢷⡄⠀⠀⠀⠈⠛⠦⣤⣙⡇⠀⠀⠈⢷⣄⣾⠁⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣧⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣄⡀⠀⠀⠀⠀⠀⢈⣿⠀⠀⢀⣼⠇⡀⠀⠀⠀⢠⡤⠶⠶⠶⠶⣦⠀⠀⢹⣇⠀ ⠀⢿⠀⠀⠀⠀⠀⢸⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠉⠛⠶⠶⠦⣤⣶⣾⡧⠴⠶⠋⠁⢸⠻⣆⠀⠀⠙⢶⡶⠶⠶⠖⠋⠀⠀⠀⢻⡄ ⠀⢸⡆⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠹⣆⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⢸⣧ ⠀⠈⢿⡄⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⢻⡿⠟⠛⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢿⡀⣿⠀⠀⠘⠃⠀⢠⣤⣤⣄⠀⠀⢸⣿ ⠀⠀⠘⣧⠀⠀⠀⠀⠀⠙⠷⣤⣤⣤⣴⣶⣾⣿⣄⡀⠀⠀⠈⠻⣦⠀⠀⣶⠲⣤⡀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠙⣿⣧⣄⠀⠀⠀⠸⣿⠀⠙⠛⠻⢿⡇ ⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠘⣧⠀⠘⢧⡈⠙⣦⡀⠀⠀⣰⠇⠀⠀⠀⢠⣿⣿⣿⣷⣄⠀⠀⠹⣧⠀⠀⢀⡿⠀ ⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠈⠳⠄⠀⠙⢦⣌⣧⢀⠾⠋⠀⠀⠀⢠⡿⡃⣿⢿⣷⡟⠷⣦⣤⣿⠀⢀⣾⠃⠀ ⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⣀⣀⣀⣀⣀⡀⠀⠉⠀⠀⠀⠀⠀⠀⢠⣾⠃⠐⣿⣶⣿⠃⠀⠈⠉⠁⢠⡾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠻⢶⣤⡀⠀⠀⠀⣀⣴⡿⠃⠀⠀⠈⠉⠁⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠶⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠓⠶⠶⠶⠦⠤⠤⠤⠴⠶⠶⠖⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣽⣽⣰⣾⣷⣿⣿⣿⣏⣿⣽⣾⢫⣽⠟⣹⡏⣹⣤⣿⣿⣿⣷⣶⣿⣏⠻⣝⣟⡻⠿⣟⠻⣝⣣⣾⠟⡠⠜⡠⢊⢴⡼⢟⣵⡾⣏⡳⣝⠲⣍⡚⣌⠣⢖⡩⣒⡬⣣⡾⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⣿⣿⣿⣮⣿⣿⣧⣽⣿⡻⣿⣿⣿⡾⣽⢷⣿⣿⣵⣿⣿⣿⣿⣿⢿⣿⣷⣿⣿⣿⡾⣿⠿⠛⡅⡃⠦⣑⠴⣛⣯⣾⢿⡹⣞⡵⣹⢬⠳⡜⡰⣅⢋⢦⣵⣿⠞⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣒⣶⣬⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⣿⣿⣿⣾⡿⣿⢷⣭⡻⡭⢷⢚⡚⠜⡡⢎⠰⡐⢆⡊⡕⡬⠕⣫⣴⣿⣿⣿⣯⣟⡳⣽⡸⡕⣎⢳⣉⢶⡬⣯⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⢠⣄⣶⣦⣾⣶⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣯⠿⣜⣳⡝⣞⣖⡳⢽⡩⢆⣹⣌⠱⠌⣇⣗⣨⣼⣷⣾⣿⣿⣿⣿⣿⣿⡷⣯⣝⢶⡹⣞⣭⣶⢭⡷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣔⣾⡷⣿⣟⣿⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣾⡟⣿⢻⠽⢯⣾⣵⣞⣿⣭⣽⣽⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⠿⣭⣟⣷⣻⣞⣷⣻⣟⣾⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣻⣿⠿⡋⠜⠛⡁⠢⢑⠊⠔⡘⢿⣿⡟⢻⣿⢏⢿⣝⣮⡝⢯⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣽⢟⣳⢯⣞⣷⣻⢾⡽⣯⣟⡾⣽⣻⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡡⡙⢯⠛⣏⣿⢮⡐⠰⣷⠀⣬⡔⣌⢬⣿⣱⡶⣾⣿⠾⡿⣸⣶⡌⢢⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⠻⣿⣟⡾⣵⣯⣏⡿⣵⢯⣻⣽⣳⣟⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⢻⠷⢈⢐⣈⠈⠁⠛⢟⡀⠀⡙⣜⡟⢿⠊⠽⣿⢿⣧⡿⠷⢧⣿⡟⢃⣿⡇⣂⡹⢿⣿⣿⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠷⢿⣞⣽⢻⣞⡷⣯⢷⣯⢿⣽⡾⣿⢿⣻⣿⣿⣿⣿⣯⢎⡦⢡⠈⠿⠯⠀⠀⠢⠌⢁⠠⢈⣁⢂⡹⣾⢟⡎⣿⣿⣭⣟⣻⢣⢿⣯⡑⢼⣷⡿⢿⣿⣿⣽⣿⣼⣷⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠛⠛⠿⣿⣾⣿⣾⠿⣿⣿⣿⣾⣿⣿⣿⡳⢿⡳⣀⠣⠛⠠⠁⠢⠅⣀⠢⣰⣶⣿⣣⢾⣿⡷⣘⣿⣿⣻⢯⣾⣃⠏⡿⣃⢆⣄⣂⡉⢻⣿⡟⣿⣿⣻⣷⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣋⣿⢿⣿⣿⣿⣿⣯⠵⣿⡳⢠⠱⡾⣄⠁⢂⡔⢠⢳⣿⡻⣌⢓⡾⣽⠳⣩⣿⣯⣿⡿⣽⣹⣞⣼⣧⢛⡿⡽⣿⣋⠻⣿⡜⣿⡽⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠲⣽⣻⣿⣿⣿⣿⣹⢯⡝⣃⣧⣦⠀⣽⣳⠈⠿⡷⣸⣿⡷⣌⠳⣿⣹⢇⠳⣿⣿⣿⣿⢿⣿⢏⠩⠸⢿⣻⢞⣿⣷⣷⣹⡟⣌⡷⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠳⡜⣽⣿⣿⣿⣿⣽⡜⣿⣿⠟⠁⣤⠀⠻⠓⣷⠂⣽⣿⣿⣌⠳⣽⣚⡌⢳⣻⣿⣿⣿⣿⣹⣎⢲⢣⣿⣥⣿⣿⠛⣁⢾⣿⢷⣸⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⣬⠳⣿⣿⣿⣿⣽⡏⢯⣿⡧⠀⡀⢶⣦⡄⠉⠠⢘⣿⣿⣌⠳⣝⡶⣉⠖⣿⣿⣿⡷⣹⣿⢟⡧⣟⠿⣿⡿⠻⠷⢈⢿⣿⣿⢸⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡆⢏⡽⣿⣿⣿⣿⣿⣿⠟⣠⡙⠛⣤⡀⠀⠠⢁⠂⠽⠿⢯⣗⡹⣶⢡⡚⣽⣿⣿⣿⣦⢙⣾⣴⣹⣮⡍⣷⣿⣿⡗⣺⣿⣏⠰⣽⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠶⡜⢿⣿⣿⣿⡟⣷⢾⣿⠧⣼⣟⡁⢂⡤⣀⢂⣘⠤⢃⠈⠻⣶⣣⣼⣏⣿⣿⢞⣿⠸⣿⣚⡛⢡⣣⣌⣄⠰⣌⣿⡿⠡⣘⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⢋⠜⣿⣿⣿⣿⣹⢟⣦⣷⣬⡱⣜⡠⠈⡁⠂⢼⣏⠂⠌⡀⠄⠐⣀⠢⡙⢻⣾⣿⣷⢌⣿⣿⠆⠙⣛⠻⡑⣾⢟⡡⢣⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⢎⠘⡻⣿⣿⣾⣿⣿⢿⠳⣏⠽⠿⡐⠠⠑⢬⡉⠌⡴⠄⠈⢠⢔⡣⠘⢄⠩⠄⠣⣌⣹⣿⣂⢃⢆⠣⣽⢏⢦⣱⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣾⣳⡄⢉⠻⣽⣿⣿⣟⣿⡟⡬⠱⢤⢡⢫⠀⡙⠺⠅⠂⡤⢁⡊⢴⣿⣿⣶⣿⣿⡿⢠⢋⡱⣎⣼⢿⡻⡜⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢯⡷⣌⠠⠙⠯⣛⠿⣯⢳⡱⢂⠞⡘⢈⠠⠁⢂⡐⠠⣥⢮⣷⠘⣽⣍⠛⠿⢿⠣⣬⣌⣧⡿⣿⡼⢷⣵⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⣷⡳⣄⠢⣌⠻⣌⠇⢣⡙⣆⠐⠈⠉⠒⠣⢀⡄⠈⠓⢍⠺⠿⠃⡘⢰⣧⣛⣿⡿⣟⡽⣞⣵⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣮⡥⢈⢳⣤⡙⠀⠀⠩⠀⠀⠀⠀⠀⠊⠁⠀⠁⠀⠂⠀⠠⠀⣉⠓⡉⠋⢖⣭⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣗⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⢿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡗⣺⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⣤⡀⠀⠀⠀⢠⣴⠶⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠟⠉⠻⠂⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣀⠀⠀⠴⣦⡀⠈⠻⣿⣿⣿⣿ ⣿⣿⡟⠁⠀⠀⠀⣠⣤⣤⠀⠀⣀⣠⣤⣤⣄⣛⠉⠀⠀⠀⣈⡉⠀⠀⠈⢻⣿⣿ ⣿⡟⠀⢀⣀⠀⠀⠁⠀⠀⠀⣾⠋⠁⠀⠀⠈⠙⣷⠀⠀⠛⠋⠉⠀⠀⠀⣀⣿⣿ ⣿⣷⡀⠈⠙⠋⠀⠀⠀⠀⠀⠙⠛⠷⠶⠶⠾⠛⠋⠀⠀⠀⠀⠀⠀⠀⠚⠋⢹⣿ ⣿⣿⢷⣄⠀⢀⣠⣤⣀⠀⠀⠀⣀⣠⣤⠀⠀⠀⠀⠀⠠⢶⣄⣀⣤⣄⡀⣠⣾⣿ ⣿⣿⣧⠙⠛⠛⠉⠈⠹⣧⡀⠀⠈⠉⠁⢀⣤⡶⢶⣤⣀⢀⣽⠟⠁⠉⠛⣿⣿⣿ ⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⢳⣄⠀⢀⣴⠟⠁⠀⠀⠈⠙⠛⠁⠀⠀⣠⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣀⠠⠄⠒⠒⠀⠀⠀⠀⠒⠂⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⢀⠀⠀⠀⠀ ⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀ ⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠈⡄ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠂⠠⠶⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡁ ⢈⣘⣔⠐⡀⡎⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⠌⠸⡻ ⢋⠷⠿⠦⣠⡇⢠⠀⡔⠁⠢⠀⠀⢀⠔⢠⠀⠀⣀⠀⠠⠁⡇⡈⣰⣾⠉⠀ ⠈⠑⠒⠂⢹⡯⠄⡒⠃⠀⠀⢁⢀⠁⠀⠀⠑⠂⡄⡠⢁⣴⡴⡏⠗⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠀⠉⠒⡂⣼⠘⣧⠤⡤⠴⠶⠟⠙⠧⠨⠠⠜⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣁⣈⡡⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠿⠟⠛⠛⠛⠛⠒⠒⠛⠿⠿⠿⢿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⣴⠋⠀⠀⠀⠀⠰⣶⣤⠀⠀⠀⠉⠀⠀⠀⠀⣠⣴⡧⠀⠀⠀⠀⢀⣀⣌⠙⢷⡄⠀⠀ ⠀⠀⢀⡟⡶⠶⣦⠀⠀⠀⠀⠉⠀⢀⡀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠶⠀⠀⠈⠋⠋⠀⠈⢿⡄⠀ ⠀⠀⣼⢗⠿⠚⠁⠀⠀⠀⠀⠀⠀⢈⣷⣶⢶⣷⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀ ⠀⢰⠗⠁⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠗⠛⠚⠛⠿⢷⣾⣟⣷⡄⠀⠀⠀⠰⣶⣤⠀⠀⠀⣿⡄ ⠀⡏⠀⠀⠀⠀⠀⣰⡆⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣴⢿⡄⠀⠀⠀⠈⠉⠀⠀⠀⣿⡇ ⢀⣯⡿⣿⠀⠀⠀⠛⠁⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢺⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇ ⢸⣿⣴⠃⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⢁⡀⠀⠀⠀⢀⣀⠀⢸⣿⠁ ⠸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⣀⣴⣿⣯⡿⠃⠸⣿⡆⠀⠀⠘⠉⠀⣾⡏⠀ ⠀⣿⡦⠤⢀⣀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠶⠿⠿⠿⠟⢛⣉⠀⠀⠀⠀⠀⠀⣀⠀⠀⣼⡿⠁⠀ ⠀⠸⡼⡐⡸⠨⡟⢦⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀ ⠀⠀⠹⣧⢃⣿⢃⠟⡇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣄⠀⠀⢀⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠈⠙⢦⣮⡄⠘⠦⠤⠤⠤⠤⠤⣄⠀⠀⠀⢀⡤⠶⢋⠁⢀⣎⣠⣴⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⢦⣇⡆⡤⢰⢰⢠⠀⡍⢹⢩⣥⣴⣸⣿⣼⣼⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠚⠒⠓⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ MMMMMMM⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⠛⣼⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⠿⠿⠿⣿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⡏⠀⠀⠀⠉⠀⠉⠉⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠷⠿⣶⡶⠶⠶⢶⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣄⡤⣀⠀⠀⠀⠀⠀⠀⣿⣘⣿⣿⡇⠀⡿⢺⡇⢠⣶⣿⢠⡄⠀⠀⠀⠀ ⠀⠀⣠⡴⣉⡵⠄⡀⠀⢀⠉⠱⣆⡀⠀⠀⣿⣉⣉⣙⣿⣿⣿⠟⠁⠸⠿⢿⣼⠇⠀⠀⠀⠀ ⠀⡼⢩⢶⣫⣼⣷⣿⣯⣯⣷⣤⡐⢓⡆⠀⣿⡛⠛⠛⠛⠛⠛⢻⣆⣠⣤⣼⠇⠀⠀⠀⠀⠀ ⣰⠡⣞⣿⣿⡟⣯⣷⣏⠻⣞⣿⣿⡀⣻⢶⣟⣃⣀⣀⣀⣠⣤⣄⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀ ⢹⡽⣽⣿⣿⡍⢿⣽⣿⣇⣽⣿⣿⡅⣼⠆⠉⠉⢻⣍⣻⣍⣦⣿⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣆⢾⣼⡻⣷⣮⣅⣽⣾⣿⣹⣿⠇⡾⠀⠀⠀⠘⣿⣿⣿⣷⣾⠛⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⣿⠻⣿⣿⣻⣿⣿⣿⣿⣿⣫⣾⣥⣤⣶⣾⡟⣿⡇⠀⢸⣿⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠓⢶⡍⠛⣿⣷⡆⠀⣿⣿⡟⠀⠁⢸⣷⣶⣿⣿⣴⣿⣿⣶⣾⡿⠿⠟⠻⢷⡄⠀⠀ ⠀⠀⠀⠀⠘⣧⢲⠀⠀⢸⣷⠰⣿⣧⣄⡀⣤⠿⠋⠀⠈⠛⠀⠀⣿⡏⠁⠀⠀⠀⠘⢳⡆⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠘⠋⠀⠀⠈⠉⣛⣿⠀⠀⠀⠀⠀⠀⠀⣿⣇⡀⠀⠀⠀⢀⣸⡇⠀ ⠀⠀⠀⠀⢠⠿⠐⠀⠀⠀⠀⠀⠀⢀⣸⣿⠉⠀⠀⠀⠀⠀⠀⠀⠛⢻⡟⠛⠛⠛⢻⣿⣇⠀ ⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⢛⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⣿⣿⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠸⣿⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣇⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣸⡷⠀⠀⠀⠀⢿⡶⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣉⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⡆⣶⠀⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣶⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠛⡆⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⠷⠶⠶⠶⢶⣾⣿⢩⣩⣭⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣤⣼⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ 𝐓𝐇𝐀𝐓 𝐂𝐎𝐌𝐌𝐄𝐍𝐓 𝐖𝐔𝐙 𝐀 【H】【O】【L】【E】【I】【N】【1】
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⣶⣿⣿⣿⣿⣛⣛⣛⣛⣻⠿⢿⣿⣿⣲⣶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠿⠿⠿⢿⣿⣷⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡞⠋⠀⠀⠀⠀⠀⣴⣄⡀⠀⠀⠀⠀⠸⠟⠃⠀⠀⠀⠀⠀⣀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⡄⠀⠀⠀ ⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠙⠺⢽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⠷⠛⠁⠀⣀⠀⠀⠀⢰⣖⣚⣦⠀⠙⣷⡄⠀⠀ ⠀⠀⠀⣸⡏⣟⡋⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀ ⠀⠀⢠⣿⠗⡫⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⣴⣶⣿⠿⢿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀ ⠀⠀⣿⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣏⠼⠦⠿⠯⣟⣺⢧⣿⣻⢷⣄⠀⠀⠀⠀⠀⢀⣤⣠⡄⠀⠀⠀⠘⣿⠀ ⠀⢸⠏⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣼⡿⠋⠉⠀⠀⠀⠀⠀⠀⠉⠻⣿⢓⠞⣻⣧⠀⠀⠀⠀⠈⠳⢿⠟⠀⠀⠀⠀⣿⡇ ⠀⣇⡀⠀⠀⠀⠀⠀⣀⣾⣧⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣴⡷⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇ ⢠⣯⢟⣽⣿⠀⠀⠀⠈⠉⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⡶⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⡿⣋⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠷⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁ ⢼⣷⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢷⣾⠏⢠⡶⣄⠀⠀⠀⠀⣾⠶⠀⢰⣿⡏⠀ ⠁⡟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⢀⣀⣤⡴⣻⣿⣶⠟⠃⠀⠘⢿⠿⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀ ⠀⣧⣷⠤⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠿⠿⠛⠋⠅⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⣰⣿⡏⠀⠀ ⠀⠸⣇⡎⡤⢸⠏⡟⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⠇⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢠⣿⡟⠀⠀⠀ ⠀⠀⠹⣴⢃⠏⣸⣸⠃⣿⡆⠀⠀⠀⠀⠀⠸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠙⢾⣠⢇⡇⢸⠁⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠖⢺⡆⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢾⣴⣯⠄⡈⠳⠦⠤⠤⠖⠒⠒⠦⣤⡀⠀⠀⠀⠀⣀⣴⠞⠏⣁⢠⠀⣾⣀⣤⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢤⣇⣾⠀⡆⢀⠠⡆⢤⠀⡀⠉⡓⣒⠚⣋⣉⣤⢠⣿⡋⣼⣼⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⠾⢼⣁⣜⣠⣇⣸⣀⣿⣰⣷⣿⣷⣾⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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