Closeup Emojis & Text

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Dishaᥫ᭡

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣻⣿⠿⠿⠿⠋⠀⠀⠀⠀⠉⠉⠻⢿⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠈⠙⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠄⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠀⠀⠀⡀⠀⠀⢀⠀⣄⠀⠀⠀⣀⡀⣀⠀⠀⢢⣟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢀⣴⣶⣶⣶⣷⣯⣥⣷⣶⣿⣿⠿⠛⠛⢿⣦⡀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠘⣡⣤⣶⣾⣿⣿⠀⠀⢿⣿⡿⣿⣿⣿⢶⣾⣇⠈⣿⡧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⡿⠯⣭⣭⠽⠋⡴⠀⡈⡀⢈⠑⠒⠶⠚⠋⠀⢉⡀⢹⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⣀⣠⣴⢚⡔⠂⣳⣥⣤⣼⠷⣆⠀⠀⢐⣎⣟⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⢆⣨⣾⣋⣨⣽⣿⣿⣿⣿⣿⣧⣤⣬⣿⣧⣿⣗⣯⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠻⣿⣿⣿⣿⣿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗⣿⣿⣿⠿⡿⣾⣴⡤⠷⠷⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⢀⢤⣤⣤⣤⣤⣤⣶⡾⣯⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠁⠈⣷⡍⠑⡶⠤⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠴⢻⡟⠀⠉⠻⠿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⣸⠟⠀⡰⠍⠉⠑⠒⠂⠩⠭⣐⣒⡀⠤⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠐⠈⠀⠀⢸⢇⠀⠣⡀⠀⠒⠠⠄⠀⠛⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠩⢶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠀⠀⠀⠀⠀⠀⠀⠛⠢⡀⠈⠲⠤⣀⣀⣀⣀⣀⡠⠤⠐⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢣⡀ ⠀⠀⠀⠀⠀⠀⡀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡄⡀⠀⠀⠀⠀⠀⠀⠠⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⢀⠎⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠢⣀⠀⠀⠀⠘⠀⠀⠀ ⠀⠀⠀⡞⠀⠀⡄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠢⡀⠑⠀⠀⡆⠀⠀⠀ ⠀⠀⢰⠀⠀⠀⢀⠇⠀⢀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢱⢠⡶⡞⠠⡀⠀⠀ ⠀⠀⠇⠀⠀⠀⡜⡀⢄⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠠⠀⢇⡸⢀⠀⡇⠀⠀ ⠀⡼⠀⠀⠀⠀⡈⡏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡇⠸⠀⠃⠀⠀ ⢀⠃⠀⠀⠀⠀⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠤⠤⠤⠔⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⠀⠀⠀⠀

🩻 hello kitty

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⡀⢠⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠀⠄⡖⠁⡘⢠⠇⢁⡎⢀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⣐⣔⡞⠭⡶⣪⠮⠕⡧⡛⠨⢋⡖⠁⡀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡀⣪⡵⠋⠁⠀⣀⠀⠀⠲⡄⠀⠋⣹⣖⣡⡚⢎⠽⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢡⠆⢱⠁⠀⢀⣪⣬⡀⠀⠀⠈⡆⠀⠀⠈⢻⣕⠅⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢖⡔⠁⠀⢸⠀⠀⣾⣟⣷⡇⠀⠀⠀⡃⠀⠀⠀⡈⣻⡇⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠋⠀⠀⠀⠸⡀⠀⠹⣿⡟⠁⠀⠀⡀⠇⠀⢀⢶⣇⠝⠁⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⢩⡛⣖⡷⡶⢄⠤⢣⡀⠀⠁⠀⠀⣀⠔⠁⣀⠤⡃⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⡺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠋⠊⡋⠉⣝⡩⡵⠶⡯⢷⠆⡇⡏⡻⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠈⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣫⢇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⡄⡴⣉⣌⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠓⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢤⠖⠋⠉⠋⠙⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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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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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠖⠚⠉⠉⠉⠉⠉⠉⠉⠉⠒⠲⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠉⠀⢀⣀⣤⡤⠤⠤⠖⠒⠶⠶⠤⢤⣤⣄⡀⠀⠀⠉⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⢤⣀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠋⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡠⠤⠤⠤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⢰⡆⣠⡤⠶⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠲⣤⣀⠀⠀⠀⠀⠀⠉⠳⡀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⠀⣀⠴⣾⠋⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠈⠙⠢⡄⠀⠀⠀⠀⠘⢦⠀⠈⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⢠⠞⠁⢀⣿⣀⡤⠶⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⣠⠋⠀⡤⠞⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠹⠄⠈⢧⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠁⢠⠞⠀⢀⣼⠟⠛⠛⠛⠛⠛⠛⠓⠒⠒⠲⠤⠤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀ ⠀⠀⢸⡇⠀⢠⠋⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠒⠦⣤⣄⠀⠀⠀⠀⠀⠙⢲⣄⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⣾⠁⠀⡟⠀⢀⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠦⣄⡀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠸⡇⠀⠀ ⠀⠀⡇⠀⢸⠀⢀⡿⠀⠀⠀⠀⠀⠀⢀⣠⠶⠒⠛⠉⠉⠹⣦⠀⠀⠀⠀⠀⠀⣶⠋⠉⠉⠓⠲⠶⣄⡈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀ ⠀⢸⡇⠀⠈⠀⣼⠁⠀⠀⠀⠀⢠⡼⣋⣤⠴⠖⠒⠒⠶⠾⠋⠀⠀⠀⠀⠀⠀⠘⠷⠖⠒⠒⠲⢤⣬⣙⣦⡀⠈⠻⣤⡀⠀⠀⠀⠀⠀⢻⠀⠀ ⠀⢸⡇⠀⠀⢀⡏⠀⠀⠀⠀⣰⠟⠋⠁⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠈⠙⢷⡄⠀⠈⠻⣤⠀⠀⠀⠀⢸⠀⠀ ⠀⢸⡇⠀⢀⣸⠀⠀⠀⠀⠀⠙⢴⡄⠀⣠⡶⠋⠉⠉⠙⠷⣦⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠉⠛⢦⣄⠀⣰⡾⠉⠀⠀⠀⠈⢳⣄⠀⠀⢸⠀⠀ ⠀⢈⣷⣞⠛⣿⠀⠀⠀⠀⠀⠠⣄⣉⣿⠋⠀⠀⠀⢀⠀⠀⠼⣷⠀⠀⠀⢀⡾⠁⠀⡀⠀⠀⠀⠀⠻⣏⣉⣵⠀⠀⠀⠀⠀⠘⡏⠛⠲⣾⠀⠀ ⢠⣾⢣⡿⠶⣿⠂⠀⠀⠀⠀⠀⠈⣽⡏⠀⠀⣠⡟⠛⣿⣷⡄⢼⡆⠀⠀⢸⣧⣴⣾⡿⠛⢷⡀⠀⠀⢹⡍⠀⠀⠀⠀⠀⠀⢠⣷⠶⢦⣘⣇⠀ ⢸⡇⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⢿⣿⣾⣿⣿⡇⣼⠁⠀⠀⡸⡟⢿⣿⣿⣶⣿⠇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⣸⠀ ⠈⢻⡀⠀⢠⢾⡄⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠻⠿⠿⠏⣡⠟⠀⠀⠀⠀⠻⣎⠻⠿⠿⠋⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⢸⡧⣀⣀⣰⡏⠀ ⠀⠈⢳⣆⠀⠀⣇⠀⠀⠀⢀⣠⣤⣄⠀⠑⢦⣀⠀⣐⣤⠞⠁⠀⠀⠀⠀⠀⠀⠙⠲⣄⣀⢀⣀⡴⠋⢀⣀⣤⣄⡀⠀⠀⠀⣿⠀⢉⣼⠟⠁⠀ ⠀⠀⠀⣏⠙⠓⣿⠀⠀⠀⣏⡀⠀⢈⡷⠀⠀⠀⠉⠁⠀⠀⢰⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠁⠀⠀⠐⢾⡁⠪⢀⣽⠆⠀⢀⡟⠛⠋⡟⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠘⣆⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣤⣄⣠⡤⠟⠁⠀⠀⠀⠀⠀⣀⠀⠀⠉⠉⠉⠀⠀⠀⣼⠁⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⢠⡇⠀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠘⢻⠀⠀⠀ ⠀⠀⣸⠃⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⠦⠤⠤⠴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀ ⣰⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣆ ⠈⠉⠓⠲⠦⣤⣄⣀⣀⠀⠀⠀⠀⠈⢳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⣀⣀⣠⣤⠴⠖⠚⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠉⠓⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠔⠛⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡿⠿⠿⠷⠿⠿⠧⠽⠿⠿⠿⢿⠞⠟⠞⠗⠼⠷⣷⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠔⡆⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠈⠀⠀⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣼⡆⡄⢀⠃⠀⢸⠀⡀⡇⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⣼⠡⠇⢻⠀⢠⠸⡄⡇⢹⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⢀⢢⡇⢦⠀⣸⡀⢰⠀⣷⣷⠈⣇⠀⠀⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣆⣼⡿⠤⣼⣠⣏⣇⣼⣶⣹⣾⠧⠼⢦⣀⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⠙⠹⢿⠋⠁⠀⠀⠀⠀⠉⠣⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⢢⢄⠀⠀⠀ ⠀⠀⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢢⠀⠀ ⠀⢠⠃⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⣁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⢡⠀ ⠀⣼⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠐⣦⢹⣆⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⡄ ⠀⣿⠀⠀⢷⠀⠀⠀⠀⠀⢀⡀⢀⡏⠀⣿⠀⡏⠑⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠃ ⠀⢹⡆⠀⠸⡄⠀⠀⠀⠀⠀⠀⠙⣷⠀⣗⢠⡿⠛⠁⠀⠀⠀⠀⢈⡇⠀⠀⢀⠀ ⠀⠀⢿⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠙⣷⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡎⠀ ⠀⠀⠘⣇⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⣿⣽⡇⠀⠀⠀⠀⠀⠀⢰⡿⠀⢀⡞⠀⠀ ⠀⠀⠀⠹⡇⠀⠸⣆⡀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⢰⣿⠃⠀⣼⠃⠀⠀ ⠀⠀⠀⠀⢿⣦⠀⠹⣆⠀⠀⠀⣀⣤⣿⣿⣷⣄⠀⠀⣀⣴⣿⡧⣀⣼⡏⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣷⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢻⣿⣿⣿⠏⣿⣿⣿⡟⠻⣿⣻⣿⡇⢰⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣼⣿⣿⣿⠀⣿⣿⣿⡇⠀⢹⣿⣿⣠⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⣇⣀⢸⣿⣿⣯⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⠇⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣯⢸⣿⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⡏⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⢻⣿⠿⠃⠐⢻⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠁⠀⢸⡏⠁⠀⠹⣿⠀⠀⠀⠘⡇⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠻⠀⠀⠀⠀⢷⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀ ⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠓⠒⠒⣒⣒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒

🍆🍆8=✊=D💦

˙✧˖°🎞°˖✧˙

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

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

🦋⃟ᴠͥɪͣᴘͫ•𝆺𝅥 Ayan ╾━╤デ╦︻🖤⃝🦋

༘⋆🌷🫧💭₊˚ෆ

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

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⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣸⣿⣿⡿⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣍⢂⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢇⠒⠥⢄⠠⠀⠄⠤⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⣿⣿⢧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣥⠂⠄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣦⣿⠾⣾⣭⣷⠾⡶⢷⣮⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣾⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡍⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⡈⠉⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣧⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣁⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢷⣤⣄⣯⣓⣦⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢹⣿⢻⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣏⡞⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣷⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⡆⣎⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⣿⡼⡜⣎⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣳⣖⣦⣒⣤⣰⣴⣦⣯⣷⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⢦⢳⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⡍⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣷⣿⣿⣿⠈⠉⣧⢸⣿⣿⡆⡀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠻⡝⠫⠁⠂⠈⠀⠀⠁⣻⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣾⢷⡀⢿⡘⣿⣦⠄⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⢻⣟⢿⣻⠿⡽⢫⠗⢫⠑⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣏⣿⣸⣟⣿⢿⣧⡀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠱⣎⠳⢌⠓⠌⠱⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣇⣾⢹⡽⠉⣿⣟⢮⣿⣿⣤⡀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢮⣽⢳⠄⠃⠌⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⡌⣷⣯⠸⣾⡞⢿⣟⣿⣿⡆ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡸⣿⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡟⣿⣿⣞⢃⣼⣿⠿⠙⠀⢿⠿⡆⢹⣿⣿⡆

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⣤⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠂⣀⣴⣶⣶⠟⠋⠀⠁⠙⠻⣶⣶⣦⡀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣀⠀⠀⡛⠁⣼⣿⡿⢹⡏⠀⠀⠀⠀⠀⠀⢸⣿⣿⣽⣤⡀⠀⠀⣽⠖⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣱⣶⠖⠃⣼⣿⣿⣠⣿⣷⠀⠀⣸⠀⡀⣀⣸⣿⣿⣿⣿⣷⠀⠀⠈⠃⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢉⠀⠀⠛⡇⠀⠶⢿⣿⣿⣿⣿⣿⢠⣼⣿⢸⣧⣿⣿⣿⣿⣿⣿⣇⠀⣵⡶⠀⣀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣶⡆⠀⠀⠀⠀⣼⠿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠈⠀⣀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠀⠀⠀⠀⢀⣴⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⡙⣿⣿⣿⠏⠁⣤⣀⣴⣾⡿⠋⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣰⠋⣁⣴⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⡝⣟⠁⡰⠉⢹⣿⡟⢁⠀⢠⡏⠀⢀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣿⠧⠀⡈⠁⠛⠀⢿⡟⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠋⠁⠀⠀⠀⠀⠀⠈⠉⠻⠛⠛⠻⡿⠛⠋⠉⠉⠀⠀⠉⠙⠻⢿⣿⣦⣄⠳⠒⠦⡴⣄⠀⠀⣿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡄⠀⠓⢺⠀⠞⠉⠋⠀ ⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀ ⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⣷⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣄⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀ ⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣦⢴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠀⠀⠀ ⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀ ⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣏⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣶⣾⣿⣿⣿⣿⢻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⠈⢻⣿⣿⣿⣷⣶⣤⣤⣀⣀⣤⣤⣶⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣭⣥⣤⣭⣿⣿⣿⣿⠇⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡶⣶⣶⣶⣶⣶⣶⣶⡆⢰⣶⡆⠀⠰⠶⢤⣖⣆⣤⣠⣶⣶⣶⣦⣖⣦⠶⣴⠟⣶⡶⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀

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this might end bad but add me on discord, im 15😈💦 irisheartsldr

💦🥴∠(ᯅ︶ 」∠)🍑💦𓂸(−༥−c) 😫

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣡⣾⣿⢿⡷⣄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢋⡴⢫⣿⡅⠀⣷⠋⠂⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠄⠚⠢⡜⡔⠌⣿⢀⢤⠁⡌⠘⠤⠚⠂⡠⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠒⠁⠀⡀⡀⣰⡇⡸⡼⣿⡄⡼⡄⡏⠂⠰⡈⠂⠇⠀⠁⠢⡀⠀⠀ ⣤⠄⠂⠁⠀⠀⠀⠀⣸⡞⠁⠀⢡⡘⣽⡷⡱⣼⠃⠀⠀⠈⢷⡀⠀⠀⠀⠀⠁⠂ ⠀⠀⠀⠀⠀⢀⡠⠊⢹⠃⠀⠀⢀⢳⣸⣿⣿⢋⢦⠂⠀⠀⣹⠉⠂⢄⠀⠀⠀⠀ ⠀⠀⠀⡠⠖⠁⠀⠀⠀⡇⠀⠀⠀⢣⢹⠈⢹⢎⠀⠀⠀⠀⡏⠀⠀⠀⠉⠢⡀⠀ ⠀⢀⠜⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢃⡇⣎⠎⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠂ ⠊⠀⠀⠀⠀⠀⠀⠀⢠⣷⠀⠀⠀⠀⠈⡇⡟⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡀⠀⠀⠀⠘⠉⠁⠀⠀⢀⢀⣀⣹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀

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

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠚⠉⠉⠁⠀⠈⠉⠉⠛⠒⠦⣤⣖⣛⣥⣴⣾⡿⠗⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡇⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠒⠢⣄⡀⠀⠀⠀⢀⣠⠤⠶⠚⠉⠀⠀⠀⢸ ⣿⠋⠉⠀⠀⠈⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡖⠋⠉⠀⠀⢀⣀⣤⠴⠒⠋⢹ ⣇⡀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡤⠒⠚⠉⠁⢀⣀⣤⠤⢾ ⡿⢯⣙⢻⣶⣦⣄⡀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⢠⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⡀⠃⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡤⠴⠒⠋⠉⢁⣤⣴⣾ ⣇⢠⣼⣿⢻⠿⣿⣿⣾⣦⡀⠀⠙⣿⣄⢠⣤⣴⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⢠⠇⠀⡆⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⢸⡏⠁⢸ ⡟⢡⢻⠇⠈⣇⡽⠿⠟⠛⠛⠒⠦⠬⣿⣿⠿⠿⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⡼⢠⡇⣇⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⢸⡇⠀⢸ ⣷⡏⢸⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⣸⠃⣼⡟⢻⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⢸⡇⠀⢸ ⣿⠃⡞⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⣠⠞⠁⣾⣿⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⢸⡇⠀⢸ ⣿⣿⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣠⠞⠁⠀⣸⣿⡟⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⢸⡇⠀⢸ ⡇⢸⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⡴⠋⠁⠀⠀⠀⡿⠟⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⢸⣇⣀⣸ ⣇⣀⡇⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠘⠛⠛⢹ ⡿⢽⡇⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⢸ ⡇⢠⠇⠀⠀⠀⠀⣼⡇⠠⡀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⣼⣡⠤⡤⢀⡴⠚⢉⡷⠚⠋⠉⢻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸ ⡇⢸⠀⠀⠰⡆⠀⡿⣷⣄⠁⠂⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⣰⠃⠀⠀⠴⠋⢀⡴⣏⠀⠀⠀⠀⠘⡄⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⢸ ⡇⢸⠀⠀⠀⠁⠀⢧⢹⠈⠙⢲⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⢀⣶⠃⢀⣠⠤⠔⠚⠉⠀⠈⠳⣄⠀⠀⠀⢳⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸ ⡇⢸⠀⠀⠀⠀⠀⠀⢸⠆⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⣿⠗⠚⠻⣤⡀⠀⠀⠀⠑⢄⠀⠀⠙⠲⣄⠈⢧⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢸ ⡇⢸⡀⠀⠀⠀⠀⠀⣺⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠀⢀⡜⢻⠁⠀⠀⠀⠙⢦⡀⠀⠀⠀⠹⡄⠀⠀⠀⠙⠾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸ ⡇⠀⠃⠀⠀⠀⠀⠘⡏⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⣦⡟⣶⣶⣤⣤⣶⣦⣿⣶⣶⡄⠀⠈⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⢸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢂⣤⣴⠖⠉⠉⠲⣶⣤⠀⠀⢀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⡤⢇⣾⣏⣿⠀⢠⠀⠄⣿⣿⣿⡄⠘⠃⠀⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢡⣀⠉⠀⠚⣿⣿⣿⣴⣿⢸⣿⣿⣿⡿⠀⠖⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⣨⠃⣿⣿⣿⣿⣾⣹⣿⣿⠃⣄⣴⡞⠑⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣈⣬⣤⣴⣶⣾⣿⣿⣯⣽⣿⣿⣷⣧⡎⠈⣿⠐⠐⠇⢴⠖ ⠀⠀⠀⠀⢀⠴⠋⠁⠀⠀⠀⠈⢙⠉⡹⠋⠉⠀⠀⠉⠙⠻⣦⡃⠒⣲⢀⠿⠄ ⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⡀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣾⠀⠀⠀ ⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢦⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀ ⠀⠀⠈⣷⣦⣀⣀⣀⠀⣀⣠⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⡽⢿⣿⣿⡟⠹⣿⣷⣦⣤⣤⣤⣤⣶⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣽⣿⣿⢿⡟⣿⡟⠡⣄⣽⣉⣻⣿⣟⣟⢟⡿⡭⣤⠀⠀⠀⠀⠀

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⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⣈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢛⠻⢿⣿⣿⣿⣿⣿⡿⠋⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⡠⢁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⢈⠐⠠⢀⠀⠀⡀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡐⠨⡀⠆⡈⢿⣿⣿⣿⠏⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢆⠡⢃⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠄⡀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⣈⠰⢀⠐⡀⢂⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⠐⢠⠡⢐⡈⡐⢸⣿⡿⢁⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⢆⡉⢆⡑⢊⠀⠀⠀⠀⠀⠀⡀⠤⠈⠄⡁⠀⢠⠘⡐⠀⠠⡁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠒⡈⠔⣀⠢⠈⠄⡀⠀⠀⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠋⠠⠐⣀⠂⠜⠛⠈⠄⠒⡠⠐⠄⣿⠟⣠⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀⠄⠀⡠⢊⠔⢢⠘⠤⡘⠀⠀⠀⠀⢀⠰⠠⡁⠂⠌⡐⠀⡐⢢⠑⡌⠀⠰⡁⠀⠀⠀⠠⢁⠀⠀⠀⠂⠀⠀⠀⠀⠈⢡⠘⡀⢆⡐⡀⠀⡐⢁⠀⠄⠀⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠙⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠡⠡⠄⠊⢄⠃⢌⠘⠠⡁⠌⣼⢏⠜⠁⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠈⣀⠣⡐⢡⠊⢤⠉⠆⠁⠀⠀⢀⠰⡈⢆⡑⠠⠡⠘⠀⡔⢡⢂⠱⡀⠠⢃⠄⠀⠀⠀⢡⠂⠄⢈⠀⡁⠀⠀⠀⠀⠀⠀⢂⠅⢂⠤⠑⡀⠀⠌⠐⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠈⢿⢿⣿⣿ ⣿⢿⣿⣿⡯⢿⣿⣿⣿⣿⣿⣦⣅⡈⠅⢂⠌⠄⢊⠡⠐⣰⠏⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠌⠄⢁⠰⣀⠣⢌⢡⠊⠆⠌⠀⠀⢀⠰⢈⠢⠁⠂⡀⠆⡑⣈⠒⡌⠢⢌⡑⠄⠘⡠⠀⠀⠀⡈⠄⠌⡐⢀⠂⠁⠀⠀⠀⠀⠀⠀⠀⢊⠄⠂⡀⠑⡠⢀⠂⠁⢢⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠈⣿⣿⣿ ⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣈⠰⢀⠃⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠤⠉⢀⠢⡑⢄⠣⠌⣂⠱⠀⠀⠀⢠⠂⠅⡊⠄⡁⢂⠥⠘⡠⢂⠱⣈⠑⠢⠌⠀⡘⠄⠠⠁⠀⠀⠈⡐⠠⠀⠀⠀⠀⠀⠈⠠⠀⠀⠀⠀⢊⢁⣿⠀⢐⠂⠤⠑⡀⢣⠈⠀⠂⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠧⠸⣿⣿ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠈⠄⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢆⠰⠁⠠⢌⠢⡑⢌⠂⡱⠠⠀⠄⢀⠘⠄⠨⠐⢀⠂⡰⢁⠢⡑⢄⠣⡑⠤⣉⠱⡈⢠⠑⠂⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠂⠀⠀⠀⠈⢸⣿⡘⡀⡘⠄⡁⠄⠄⢉⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⠃⢠⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠍⡄⠃⠠⡑⢌⠢⢑⠈⡔⠡⠀⠌⡀⢂⠉⠠⠁⠠⢁⠢⡁⠂⡱⢈⠢⡑⢌⠒⡄⢃⠀⢆⡉⢀⠁⠄⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠐⠀⠀⠀⣿⣿⡇⣇⠐⡈⠔⡀⠈⢂⠘⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠰⠃⢰⣿⣿⠇⠀⠀⣰⠌⠀⠀⠀⠀⠀⢀⢂⠱⡈⠔⢀⡑⠌⢢⠁⠄⡘⠠⠁⡐⠄⢀⠂⠌⠀⢠⠂⡌⢂⠱⠠⢁⠄⠱⢈⠆⡱⢈⠂⡘⠤⠀⠀⠀⠂⠐⡀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠈⠄⠀⢠⣿⣿⡇⡞⡄⠐⢂⠡⢂⠀⢣⠈⡅⡀⠀⢂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣌⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⡏⠀⠀⣰⡿⢀⠀⠀⠀⠀⢀⠢⠌⣂⠰⠀⠒⠠⡘⠀⡐⢨⠐⢁⠰⠈⠀⠄⠂⠀⢨⠐⡌⠰⠁⠤⠁⢆⡘⢄⠣⡘⠄⠃⢠⠑⠂⡈⠀⠠⠀⠂⠄⠀⠌⡀⠌⡀⠀⠀⠀⠀⠀⠈⠀⢀⠁⣾⣿⣿⠃⡝⡆⢁⠊⢄⠃⡀⠀⢦⡐⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣿⣿⠁⠀⣰⢯⠇⠌⠀⠀⠀⠀⢎⠂⡔⡉⠂⠄⠄⢂⠅⢀⠁⢎⠀⡈⠆⠀⠀⠀⠀⢀⠎⡰⠁⠆⢀⠀⠔⡨⠑⡌⢢⠑⡐⠀⢎⠰⢀⠁⠠⠀⠀⢂⠀⠐⠠⢁⠰⠁⠀⠀⠀⠀⠀⠀⠀⠈⢠⣽⣿⣿⢰⢃⢓⠈⠆⡘⢠⠁⠀⠘⢧⠈⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢸⡿⠃⢠⠎⣨⠏⢈⠀⠀⠀⠀⠨⢄⠣⡐⡈⡘⡈⠐⡈⠀⢂⠜⡀⢠⠁⠀⠀⠈⠀⡀⢎⡐⠁⠀⠀⠀⢠⠃⡔⢩⠐⡡⠘⠀⠰⡈⠐⣀⠊⠀⠄⠀⠀⠀⠌⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡟⣬⢣⠇⡐⢨⠐⣁⠂⠁⠀⠐⢇⠑⡠⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⢿⣷⣄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⣠⠞⣁⡾⠋⠀⠄⠀⠀⠀⢀⠣⠌⠐⡁⢠⢇⡇⠡⠂⠌⠰⣈⠀⠂⠀⠀⠀⠀⠐⡌⠰⠀⠀⠀⠀⢠⠃⡜⠠⠃⠈⠅⠐⢠⠃⠠⠁⠄⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠈⠛⠰⠧⠏⠠⡑⠢⡑⢠⠉⡄⠂⠀⠸⣧⠰⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⣷⠈⠻⣿⣷⣦⣍⣛⠿⠿⣿⣿⣿⡿⠿⠇⠀⢀⣴⢞⣡⡾⠟⠁⠀⠀⠀⠀⠀⠀⢎⠰⠁⢷⡀⣿⢸⢁⠘⠠⢈⠱⠀⠀⠀⠀⠀⠀⢀⠃⡀⠁⠀⠀⠀⠀⡅⢊⠔⡁⠠⠁⢀⡘⠀⡀⢂⠉⠠⠌⠀⡀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠢⠑⡌⢢⢁⠒⡀⠄⠀⢻⢣⠐⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⣿⣧⠀⠈⠻⣿⣿⣿⣿⣿⣗⣲⣒⣲⣬⣵⣾⣽⡾⠟⠉⠀⠀⠀⠀⠈⠀⠀⠀⡜⢠⠃⠄⡘⣿⣾⡏⠄⠂⡰⢈⠒⠀⠀⠀⠀⠀⠠⠌⠀⠀⠀⠀⠀⠀⡜⠀⡃⠈⠀⠀⢀⠂⠀⡐⠠⠁⠠⠁⠠⠐⠠⠁⠀⠀⢀⠡⠀⠀⠀⠀⠀⠀⣋⢉⣡⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢡⠘⡄⢊⠔⡠⠀⠀⠈⡇⢧⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡶⡄⠀⠀⠙⠉⠛⢚⣿⣻⣟⡿⠛⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠰⣁⠊⠀⢧⢹⣿⣷⡌⠀⡔⢨⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⢀⠒⠀⠀⠀⠀⠀⠠⠂⠀⠐⡀⠁⠀⢂⠁⠀⠌⡁⠂⠀⠂⠤⠁⠀⠀⠀⠀⠀⠀⣿⣧⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⡐⠀⡡⠘⡄⢊⡐⠄⠀⠀⢹⣈⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣇⢻⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠰⠀⠀⠀⠀⠀⠀⡐⢌⠱⣀⠂⠠⠘⢣⢻⣿⣿⣷⣄⠃⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠌⠀⠀⠠⠁⠀⠀⠀⠠⠀⢀⢂⠁⠀⠤⠑⠂⠁⠀⠀⠀⠀⠀⠸⠿⣟⣳⡙⣳⣄⠀⠀⠀⠀⠀⠀⠀⡁⠐⢉⠔⡡⢂⠜⠠⠀⠀⣿⡀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡌⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢁⠂⠀⠀⠀⠀⠀⡔⠊⡔⠠⠀⢀⣿⠸⣤⠹⣿⣿⣿⣷⡄⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣜⢿⣦⡀⠀⠀⠀⠀⠀⠰⠀⡡⢊⠔⡡⢊⠀⠀⠀⢸⣷⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⡀⠈⠻⢿⣦⣤⣀⡀⠀⠀⠀⠀⡐⠌⠒⡈⢄⠀⠀⠀⠀⠀⠰⣈⠱⡈⠄⠀⢸⢷⣧⠲⡱⢎⡻⣿⣿⡟⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢀⠐⠤⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣮⡻⣿⣦⡀⠀⠀⠀⠈⠄⠐⡡⢊⠔⡡⠀⠀⠀⡌⣿⡄⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣄⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠐⡄⠣⡐⠀⠀⣸⢸⣿⠇⠹⣎⠵⣢⠍⠁⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠂⠌⠀⢀⠐⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⣿⠿⠟⢛⣛⣛⣛⣛⡘⠛⠛⠢⠄⠀⠀⠐⠈⡔⢡⠊⡔⠀⠀⠐⡀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡘⠄⠐⡄⠀⠀⣿⣾⣿⠃⢄⠈⡉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠂⠐⡈⠀⠀⡀⠄⠒⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⣈⠀⣠⣾⡿⠟⠛⠉⠉⠇⠀⠀⠒⠄⠀⠀⠀⠈⠐⠈⠂⠁⠈⢀⠀⠠⠁⣿⣿⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠄⠰⠀⠀⠀⣏⣿⣿⠄⡊⠔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠁⡐⠈⠠⠐⡈⢀⠂⠠⣈⠒⠀⠀⠀⠀⠀⣼⡏⠼⠛⠉⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⡠⠀⢂⠅⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢈⠆⠐⡡⠀⢸⡇⣿⣿⡂⢡⠊⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢈⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢂⠁⠀⡀⢢⠑⠀⠀⠀⠀⠀⢀⠞⣉⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠴⠖⠂⠀⠀⠤⢠⠘⠀⣀⢃⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢂⠀⠅⠀⢸⡇⣿⣿⡇⠄⢣⠘⠀⠀⠀⠀⠀⠐⠀⠁⠂⠄⠀⠀⠀⠀⠂⠌⠐⠀⠀⡀⢀⠀⠀⠀⠀⠀⠡⣀⠢⠑⠈⢀⣠⠖⠁⠀⣀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⢀⠐⠀⠂⠁⠐⠀⠀⠈⠀⠀⠀⠀⡄⣀⠣⠌⡐⢄⠂⢸⣿⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢡⠀⢈⠀⢸⡇⣿⣿⡇⡘⠤⣉⠂⠀⠠⠈⠀⠀⢀⠠⢀⡐⠈⠀⠀⠀⠁⠀⠀⠌⠐⠀⠁⠀⠀⠂⠁⠉⢀⣀⢀⣤⣶⠟⠁⣀⣴⣾⣿⣿⣿⡏⢁⣢⠴⢖⣉⣤⣴⣶⣶⣾⣷⣿⣶⣷⣤⣁⣴⡆⡐⢌⠰⢠⠑⠂⢀⠈⢀⣿⡟⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⢀⣶⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢆⠈⠀⠀⣷⢻⣿⣧⠑⠢⢄⠃⠀⠀⠀⠀⢂⠂⠌⡀⢀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⣛⣯⣭⣛⣾⣿⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠟⠃⢌⠢⢑⠂⡅⠒⠀⢀⣾⡿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⡎ ⣿⣿⣿⣿⣿⣿⣿⠟⠉⣠⣴⠀⠀⠀⠀⣾⣿⡆⠀⠀⠀⡆⠀⠐⠀⠀⠀⠀⠈⠆⡄⠀⣿⢸⣿⣿⡈⠔⡊⠜⠀⠀⠀⠀⠂⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠐⡈⢆⠡⢊⠀⢀⣴⣯⠟⢀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠰⢏⡾⠁ ⣿⣿⣿⣿⣿⡿⠋⢀⣴⣿⣿⠀⠀⠀⣸⣿⣿⣇⠀⠀⠀⡇⠀⠀⠄⠀⠀⠀⠀⠱⡀⠀⢿⡆⣿⣿⣧⠘⢠⠉⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠄⠒⠚⠛⢛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠠⡑⡈⠆⠑⣠⡴⣻⠗⠉⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⢀ ⣿⣿⣿⣿⠛⠀⢠⣾⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⠀⠀⠀⣿⡄⠀⠈⡀⠀⠠⠀⠀⠐⡡⢸⣧⠸⣿⣿⡆⠁⠈⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠄⠂⠐⠀⢀⣡⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠤⠥⠤⠶⠚⠯⠑⠋⠁⠀⠀⡐⠊⠀⠀⠀⠀⠄⠀⠀⠀⢠⡟⠁⢠⣾ ⣿⣿⡿⠃⠀⣰⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⡇⠀⠀⢹⣷⠀⠀⠐⢀⠠⠀⠀⠀⠘⡀⢿⡆⢹⣿⣿⡄⠡⡀⢄⡀⠀⠈⠁⠀⠁⠀⠌⠀⢁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠡⣌⠘⣀⣥⣾⡇⠀⠀⠀⠀⠀⠀⠤⠁⠀⠀⠀⠀⠐⠂⠀⠀⠀⠊⢀⣴⣿⣿ ⣿⡿⠁⠀⡰⣿⣿⣿⣿⣿⣿⣿⣿⠈⠹⣿⣿⣿⣷⠀⠀⠈⢿⣧⠀⠀⠀⠰⢀⠀⠀⠀⠀⠘⣿⠂⠹⣿⣿⡄⢡⠂⡔⡀⠀⢀⣠⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣉⣁⡤⣕⣩⣴⣿⣿⣿⣿⠁⠀⠀⠀⠀⢠⠘⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⢶⣿⣿⣿⣿ ⡿⠁⠀⢠⣳⣿⣿⣿⣿⣿⢿⠟⣱⣧⠀⠈⠻⣿⣿⣇⠠⠀⠈⢻⣷⡀⠀⠀⠀⡈⠀⠄⠀⠀⠹⣧⠁⡘⢿⣿⣦⡘⠤⢑⢂⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠄⠉⢀⠡⠀⠀⠀⠀⠀⠐⠰⠀⠀⠀⢠⠈⢿⣿⣿⣿ ⡇⠀⠀⢠⣿⣿⣿⣿⣿⣫⠋⣼⣿⣿⣧⡀⠀⠈⠙⠻⠄⠀⠐⣄⠈⠓⠀⠀⠀⠀⡀⠀⠀⠀⠀⠙⣷⡀⠀⠉⠻⣿⣦⣈⠢⢌⠂⡍⢛⠻⠿⢿⣿⣿⡿⠿⠛⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣋⣿⣿⣿⣿⣿⣿⣾⣯⣭⡍⠀⠀⠈⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⢈⠱⠀⢀⠀⠘⣧⡀⠙⠿⣿ ⠀⠀⠀⣸⣿⣿⣿⡿⠡⠁⣼⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠈⠙⠿⢷⣶⣬⣄⣃⡘⠀⠃⣄⣐⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⣩⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢰⠘⠀⠀⠀⠀⠀⠀⠐⢌⠂⠀⠄⠀⠘⣿⣶⣤⣀ ⡆⠀⠀⢸⣿⣿⡿⠁⠠⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠉⠩⠉⣐⣁⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⣫⣭⣶⣾⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⢊⠜⡀⢂⠀⠀⠈⠻⢿⣿ ⡇⠀⠀⠈⢿⣿⠁⠀⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⢀⠀⠳⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠢⠄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⠉⢭⣷⣶⣾⣿⣿⣻⡿⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣷⠇⠀⠀⠀⠀⠀⠀⠀⢈⠆⡱⢀⢂⠀⠀⠀⠀⠈ ⡇⠀⠀⠀⠘⡟⠀⠀⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⣝⣛⣛⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⠄⡀⠀⠀⠀⠀⠀⠀⢈⠐⡡⢊⠜⡠⠀⠀⠀⠀ ⣿⡀⠀⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢸⡾⡇⠐⡀⠀⠀⠀⠀⠀⠀⢂⠐⡡⢊⠔⡡⠄⡀⠀ ⣿⣷⠀⠀⠀⠀⠀⠀⠰⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⡄⡸⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⠋⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⢂⠀⠀⠀⠀⠀⠀⠂⠄⠃⡜⢠⠃⡔⢂ ⣿⡏⢸⣧⡀⠀⢠⠀⠡⢒⠀⠈⠉⠙⠛⠛⠿⠿⠿⠿⣿⣿⠿⠟⠉⠀⠀⠀⢀⠈⡰⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠇⠀⢠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡁⠂⣼⠁⠀⠀⠀⠀⠀⠄⠂⠀⠀⠀⢸⣷⢹⡀⠀⠀⠈⠐⠠⢀⠀⠀⠀⢈⠐⡌⢢⠑⡌⢢ ⣿⣇⢸⣿⡇⠀⠀⢢⠀⢃⠒⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣡⠎⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣿⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡩⠐⠌⣼⣿⠀⠀⠀⠀⡄⢃⠘⠀⠀⠀⠀⠀⢿⣇⢇⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠶⠬⣦ ⣿⡟⠘⣿⣷⠀⠀⠀⠑⢄⡃⠔⢂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⡩⠚⠁⠀⠂⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠇⠨⠄⢂⠉⡙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠟⡁⠒⠤⢉⣼⣿⣯⠀⠀⠄⢃⡐⠈⠄⠀⠀⠀⠀⠀⠘⢟⣎⣇⠊⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚ ⣿⣧⠀⠹⣿⣧⠀⠀⠀⠀⠈⠙⠒⠬⠤⠥⣐⣠⠢⠤⠤⢖⠺⠉⡢⠉⠀⢀⠄⠁⠂⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⡍⠄⢢⠀⠃⠢⢄⠩⢉⠛⡛⢉⠰⢠⠡⣉⢂⣾⣿⡟⠃⠠⠑⠨⠄⡠⠉⠀⠀⠀⠀⠀⠀⠀⠘⢯⣾⣎⠘⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀ ⣿⣿⣧⡀⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⢀⠀⠂⠁⠀⣀⣈⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡴⡾⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⣿⣇⠀⠀⠰⢈⠤⠘⣀⠂⡈⢆⠡⢊⠔⡡⢊⠄⠣⢠⣾⡿⠋⠠⡈⢁⠎⡁⢂⡁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣿⣆⠰⡁⢆⡀⠀⠀⠀⠀⠀⠀⠀⠉⠻ ⣿⣿⣿⣿⣦⡀⠙⠻⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠄⠀⠀⡄⢂⢌⡜⡐⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠈⠐⢸⣿⣿⡇⢀⠀⢡⠂⠄⠃⠄⠒⠠⠀⢣⢌⠢⡑⠌⡌⣱⣿⠟⢀⠡⢂⠁⠆⡐⠤⠁⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠐⠈⢿⣆⢡⠀⠈⠡⢂⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠣⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⡠⢈⠒⡠⢁⠞⡐⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠎⠠⠌⡘⢈⠌⠌⡁⠆⡀⠪⠑⡌⢂⣼⡟⠁⢠⠂⢂⠡⠌⠒⡀⠆⡉⠄⢃⠰⠀⡄⢀⠀⠀⠀⢂⠀⠀⠀⠏⣟⣆⢑⢂⠀⠀⠉⠐⠠⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠗⠀⠤⣀⡀⠀⠀⠀⠀⠀⠀⢎⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣯⣿⣛⣛⣋⣥⠖⠠⠑⢀⢃⡼⣡⠏⢢⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⡄⢃⡐⢀⠀⠀⢸⣿⣿⡇⠀⢀⡐⠐⡈⠤⠈⠔⡐⠄⠠⢁⠡⢢⣾⠋⠀⠈⢄⡘⢀⠒⡈⠔⡁⠢⠌⡐⡁⠢⠡⢐⡈⡐⠂⠄⡀⠈⠄⡀⠸⣿⢿⢦⠈⢆⡀⠀⠀⢰⡁⠂⠄⠀ ⣿⣿⣿⣿⣿⡿⢛⣡⣴⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠈⠆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠆⠁⠀⢢⣎⣷⢃⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠐⢂⡐⠂⢌⡐⢸⣿⣿⣧⢠⣿⣷⠈⣴⣿⣷⡐⠀⠎⡀⠀⠸⡿⠁⠀⠀⠌⡠⠐⡈⠔⡈⠰⠠⢁⠆⠡⡐⠡⠘⠠⡐⠠⢉⡐⠄⢂⠌⠐⠀⣿⣸⠘⡆⠢⡐⠀⠀⢸⣿⣆⠈⠄ ⣿⣿⣿⡟⢩⣶⣿⣿⣿⣿⡟⠀⢀⡆⠀⠀⠀⠀⠀⠘⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠠⠉⢀⡴⢀⡟⣼⢃⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠉⡄⠤⠉⠄⡐⢸⣿⣿⣿⡸⣿⡿⣰⣿⣿⣿⡇⠀⢀⣤⣦⡁⠁⠀⠀⠐⡠⠁⠆⣁⠒⡈⢁⠆⠡⡈⠔⠠⣁⠃⠡⠐⠁⠂⠐⠈⠀⠈⠀⢠⣿⡿⢀⣿⠀⢨⠁⠀⢨⣿⣿⡄⠈

🤤🥵🥴😈🙈🖤💦👯‍♀️

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⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣁⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠝⠉⠉⠛⠷⣦⣤⣶⣶⣶⣶⡾⠃⠀⠈⢻⡾⠛⠉⠉⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣼⠁⠀⣾⢻⡶⠛⠲⣄⣤⠼⢧⣄⠀⠀⠀ ⠀⠀⠀⠀⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⢙⣿⡀⠀⠀⣹⢶⡄⠀⣹⡀⠀⠀ ⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠒⢺⡛⠛⠁⣰⠏⠀⠀⠀ ⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠚⢹⡇⠀⠀⠀ ⢠⡶⢼⣷⢤⠄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⣀⠀⠀⠀⠤⠾⣿⠖⠶⠆ ⠀⠀⢈⣿⣀⡀⠀⠀⢿⡿⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠸⣿⠇⠀⠀⠠⣴⣿⣄⣀⠀ ⠀⠘⠋⠹⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠯⣦⠽⠀⠀⠀⠀⠀⠀⠀⢀⣀⣾⠃⠀⠀⠀ ⠀⠀⣠⡴⠟⠻⣧⡶⠳⣦⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡟⠋⠛⠶⠄⠀ ⠀⠀⠁⠀⢀⡾⠛⠂⣀⡈⠀⢹⣧⣤⣄⣀⣀⣠⣤⣤⣴⣶⣾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣷⣤⠄⠛⠃⠈⢿⢹⣄⠀⠀⠀⢠⡿⠀⠈⢷⡉⣻⣦⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠏⢿⣤⣴⡷⣶⡟⠀⠙⠳⠶⠶⠛⠁⠀⠀⠈⣿⡋⠀⠈⣿⠆⠀⠀⠀ ⠀⠀⠀⠀⢻⣆⠀⠀⢸⣿⣜⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⣽⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⣶⠞⠃⠙⠶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡿⠶⢶⣤⣤⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⡶⢾⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⣀⣀⣀⣀⣠⣿⣀⣀⣀⣀⣀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣴⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣠⣿⣿⣿⡿⣩⣿⣿⣧⡀⠐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⣠⣾⠟⣿⣿⡁⠀⠃⢿⣧⢻⠱⡄⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⣼⠟⢁⢰⣿⣿⡇⠄⠀⣼⠟⠈⡄⢹⡀⠀⠹⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠚⠙⠲⣴⠇⣴⢃⠞⣿⣿⢀⣠⣤⡇⠀⢧⠀⠀⢣⡖⠋⠉⠑⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⡆⠀⠀⠀⢀⣷⢰⠃⣷⠰⣿⣿⡈⠉⢉⡇⠀⣿⠆⠀⠀⡇⠀⠢⣄⣘⡆⠀⠉⠲⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠔⠋⠀⠀⠀⠀⢳⡀⢤⣠⣿⡿⠘⣆⢻⢆⢻⣼⣯⢀⡿⣹⢀⡏⠀⠃⠀⠸⣦⣄⠀⠝⠁⠀⠀⠀⠀⠑⠦⣄⡀⠀⠀ ⣀⣀⡤⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⣽⡿⠏⠑⠈⠀⠹⡄⠘⣮⢿⣿⠏⣰⢃⣾⡇⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠵⠢ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⢧⠁⠀⠀⠀⠀⢻⣦⠙⣿⣿⣦⢧⣿⡿⠁⠀⡰⠀⠀⠀⠀⢼⡿⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⠀⢻⡌⠀⠀⠀⠀⠐⣄⢹⣦⣿⣽⣿⣿⡿⢡⠃⡎⠀⠀⠀⠀⠀⣼⠇⠀⠈⠓⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠘⣧⠈⣿⡅⠉⣿⣧⠏⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠘⣦⠹⡇⠀⣿⠁⡴⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠘⣇⡇⢀⣿⡼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄ ⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢸⣿⠁⠀⠀⠀⠀⠀⠀⠃⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣷⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠛⠋⠛⠁⠀⠀⠀⠀⠀⠀⢀⡀⠈⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣶⣶⣤⣴⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣶⣶⣾⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠄⠀⠀⠄⠈⠀⠀⢀⠈⠀⠀⠀⢀⠀⢁⣾⡟⡾⠁⣾⠃⡈⢼⣻⠀⠂⠀⣿⣿⠀⠀⢠⣿⣿⠀⠀⣿⠀⣿⣿⡇⠸⣷⠘⣧⡄⠙⢦⡀⢐⡏⠻⣟⠉⠓⠦⣄⠀⡇⠀⠀⠀⠈⣧⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠠⠀⠂⠀⠀⠠⠀⠁⠀⠀⣼⡟⢸⠇⢸⡿⡄⠐⣸⢹⡄⠡⢰⡿⣿⡄⠂⢸⠹⣿⠀⠀⢻⡆⡿⣿⣷⢤⡘⣷⣜⣿⣷⡶⢽⣶⣧⡤⢹⡗⠄⠀⠈⢹⡇⠀⠁⠀⠀⢿⠀⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠠⠐⣸⣿⢁⡿⠈⣿⡗⣯⠀⢼⣿⣧⠐⢸⣇⣸⣿⣾⣿⣤⣿⣆⠀⠈⣿⣽⡘⢿⣽⣧⠀⠙⢿⠛⣷⣄⠠⡇⠀⢸⡷⠀⠀⠀⣼⡏⠀⠈⠀⠀⢸⡀⢿⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢰⣿⠃⣼⣹⠖⣿⢹⣿⠀⠸⣿⣿⣿⣿⡿⡿⢿⣟⢿⣿⣿⣿⣇⠀⠘⢎⠳⣈⣿⣿⣷⡀⢸⡀⠈⢿⣦⣇⠀⠀⣿⠀⠀⢠⣿⠇⠀⠨⠀⠀⢸⡅⢸⣈⣷⠀⢀⠀⡀⢀⠠⢀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢸⣿⢠⣟⣿⣀⢻⣿⣿⡀⢁⢻⣿⠈⠻⣇⠀⢿⣿⣿⣹⣏⣿⠙⠃⠀⠀⠀⠈⠙⢿⢿⣟⡮⣧⣴⣿⣿⣿⣿⣾⣿⡄⢀⣾⣿⠀⠀⢸⠀⠀⣾⠁⢸⡇⣿⡇⢂⢂⡡⠆⠲⣄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⢸⣿⣿⡆⣻⣾⣿⣧⢂⠸⣿⡀⠀⠈⢄⠈⠻⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣽⣯⡽⣿⡿⢿⢻⣿⡟⣿⡇⡀⠀⢸⠀⣰⢿⠂⢸⡇⢿⡇⠈⠀⠀⠀⠥⡘⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠻⣿⣿⣿⣱⡿⣿⣿⣿⣎⣆⢻⣧⠀⠀⠀⠉⠓⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣿⣷⠆⠘⣽⢟⡿⡽⠀⠀⣾⣸⢿⣼⠀⢸⡇⢸⡇⠀⠀⠀⠀⢢⠑⢼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣎⡇⣿⣿⣿⣾⣹⣎⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠒⢄⠀⠀⠀⠀⠀⠢⣍⣛⣛⡁⠀⠈⠁⣸⣿⠃⢀⣸⢯⣿⢸⠍⠀⣾⠇⣼⡇⠀⠀⢠⠘⠤⡉⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣸⣿⣿⣿⣿⣿⣇⢻⣿⣿⣾⣿⣏⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⡨⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠇⡐⢠⡿⣼⠇⣻⢀⣤⣿⢠⣿⠀⠀⠐⢢⡉⠖⣡⢂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡦⠭⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⢧⡜⣤⣿⣷⢿⢀⡟⣼⣿⣏⣾⠃⠀⢠⠉⢦⡘⡘⠴⣈ ⠀⠀⠀⠀⠀⠀⢀⣤⠶⠟⠛⢉⣩⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣿⡣⣟⣼⣯⣿⣏⣠⣿⣿⣿⣿⠟⠁⠀⡐⢂⡍⠲⣌⢱⠣⡜ ⠀⠀⠀⠀⢀⡶⠋⠁⢀⣤⢞⡿⢟⡿⣻⡽⢛⠉⢉⡛⠻⢿⣿⣿⣿⠏⠙⠿⣷⣆⠀⠀⠀⠀⠀⠀⠾⣟⠋⠓⠒⠲⠦⣤⣀⡀⠀⠀⠀⠀⠀⠘⢉⣡⣾⣧⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠤⡑⢬⡐⢣⡜⢪⡱⢜ ⠀⠀⠀⢠⡟⠁⢀⡴⣫⠞⢉⣴⣫⡾⠉⢀⣼⠏⢋⠀⠀⠀⠘⣿⠻⡄⠀⠀⠈⠙⢧⡀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠶⠖⠚⠋⠁⠀⠀⠀⠀⠀⠀⠉⢉⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⡜⢠⡑⠦⡘⡵⢊⢧⡙⣬ ⠀⠀⠀⢸⠀⣴⢋⡴⠃⣰⢏⡼⠋⠄⢠⡞⠁⠌⠀⠄⢠⠀⠀⣿⡆⠹⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⣿⣭⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣀⣐⡄⢣⠘⢦⡹⡜⣭⢒⡹⡼ ⠀⠀⠀⠈⡾⢁⠎⠀⣼⡿⢋⡴⠃⢠⡟⠀⠀⠀⣰⠀⢸⠠⠀⡇⢳⠀⢻⠀⠀⠀⠀⠀⢸⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠉⠀⣸⡟⣻⡿⠛⣿⠋⢈⠛⢏⠀⠈⠳⣬⡙⠯⣓⠿⣆⣳⠱⢦⣋⠶⠃ ⠀⠀⠀⢸⢃⡟⠀⣼⠳⢡⡞⠁⢠⡟⠀⠀⠀⢠⡿⠀⠼⡐⣶⠃⢸⠧⣼⠃⠀⠀⠀⠀⢸⣿⣿⣿⣷⣄⡀⠀⠀⣀⣀⣤⣴⣶⣿⣿⠃⠀⠀⠀⢰⣿⢟⣡⡟⢠⡿⠀⡊⢱⠈⠙⢦⣄⠈⢿⣳⣌⠳⣬⡛⢿⣢⣽⠁⠀ ⠀⠀⠀⢸⢸⡇⢰⠏⣰⡿⠀⢀⣿⠁⠀⠀⢠⣿⠇⠀⢃⣼⡏⠀⣾⢡⡏⠀⠀⠀⠘⠀⠨⣷⣻⣿⡳⣟⡿⣻⢟⡻⣽⢿⣿⣿⠛⢹⠀⠀⠀⠀⣿⢋⣼⡟⠀⢸⠇⠀⠀⢰⡆⠀⠀⢻⣧⠈⢷⡹⣦⡈⢿⣦⡙⢇⠀⠀ ⠀⠀⠀⠸⣿⡆⡟⢠⣿⠁⠀⣸⡇⠀⠀⠀⣾⠝⠀⠘⣰⠏⠀⢰⣧⡞⠀⠀⠀⠀⠀⠀⠀⣿⠡⢻⣿⡼⣳⢏⣯⢳⣭⠟⠁⠀⠈⢺⠀⠀⠀⣼⡏⣼⣿⢀⠀⣻⠀⢸⠀⠘⡇⢀⠀⠈⢾⡧⡈⢷⣹⣧⠸⡿⠉⢻⡳⡄ ⠀⠀⠀⠀⠙⣿⡇⣾⡇⡀⠀⣿⠀⠀⠀⣸⠃⠀⠜⣸⡏⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣯⠱⠀⠘⣻⣵⣫⣾⡿⠃⠀⠀⠀⠀⢸⠀⠀⢰⣿⡡⣿⣿⠀⢂⣿⠀⢸⠀⠀⠇⢸⡄⠀⠈⢿⣱⠈⢿⣿⢀⡇⠀⠀⠱⡄ ⠀⠀⠀⠀⣠⣿⢰⣿⢰⡇⢸⡏⠀⠀⢰⡇⠀⠀⢰⠋⡇⢠⣯⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢢⡕⠃⠀⠀⣡⠎⠀⠀⠀⠀⠀⠀⢸⠀⠀⣾⢻⣿⣿⣿⠀⣸⢸⠀⣿⠀⠀⠈⢸⡇⢠⡀⠘⣿⣇⠸⡯⡼⠃⠀⠀⠀⢻ ⠀⠀⠀⢰⡿⣿⣼⡇⣿⡇⣸⡇⠀⠀⣾⠃⣀⢸⡏⠀⢧⢿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠐⡀⢇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⢧⣼⣇⠚⣿⣯⣿⣇⢾⡘⢿⣿⡇⠀⠀⠀⣿⠘⡇⠀⢹⣿⡤⢿⠁⠀⠀⠀⠀⠈ ⠀⠀⠀⣿⠁⣿⣿⡱⢏⡇⣽⡇⠀⠀⣿⢰⡇⣿⠁⠀⢸⡾⠀⠀⠀⠀⠀⢀⡤⠖⢛⣿⡖⠐⠀⠸⡄⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⣸⡏⠛⠾⣽⣿⣿⣿⣿⡇⠈⣿⣿⡀⠀⠀⢻⡄⣷⠀⢘⡿⣿⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⣸⡇⠀⢹⣿⣱⢋⡇⢿⣇⠠⠀⣿⡿⣾⡟⠀⢀⠀⣹⣀⣠⡤⠶⠋⢡⠤⠂⠀⢸⣧⠀⠀⠀⣧⠀⠀⠀⠀⢀⡏⠃⠀⠀⠀⢀⣿⠁⠀⠀⠀⠉⠛⠿⢿⣿⣤⣿⣽⣷⣀⡀⢸⠅⣿⠀⢸⡀⢸⡀⣷⠀⠀⠀⠀⢀ ⠀⠀⣿⠀⠀⠀⢻⣧⢋⣧⢹⣿⣸⣆⣿⣥⡟⠋⠉⠉⠉⠀⠐⢲⣤⣦⣅⣑⣲⣤⣀⠀⣿⡆⠀⠀⠙⠂⠀⠀⠀⡞⠀⠀⠀⠀⠀⣼⣏⣤⣭⡕⠒⠒⠊⠀⠁⠀⠀⠀⢠⠀⠈⠉⠙⠛⢻⣥⣸⡇⢸⡇⢹⠀⠀⠀⢀⡞ ⠀⢀⡇⠀⠀⠀⠘⣯⣟⣹⡼⣿⣽⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠻⠿⠿⣿⠧⠿⠟⠻⢄⠀⠀⣠⠤⠛⠛⠀⢀⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢧⢨⡇⣼⠀⠀⠠⠋⠀ ⠀⢸⡇⠀⠀⠀⠀⠹⣶⣣⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⡏⠀⠀⠀⠀⠀ ⠀⠸⡇⠀⠀⠀⠀⠀⢈⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡁⠀⠀⠀⠀⠀ ⠀⠀⢿⠀⠀⠀⠀⢀⡞⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢿⡗⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠘⣆⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠘⣄⠀⠀⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢷⣄⣿⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⣿⡀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣷⣶⣶⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⢆⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣭⣭⣭⣭⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢎⡰⠀⠄⠀⠀⠀⠀⠀⡐⢈⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣭⣭⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣧⢒⠡⠀⠄⠀⠀⠄⠡⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠉⠉⠉⠉⠉⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⡌⢣⠈⠄⠡⠈⠄⣁⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣦⣤⣤⣤⣤⣼⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠈⢆⠀ 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⌞ ִ࣪𖤐 ⌝

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YALL STFU LET ME LOOK AT PORN ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠛⠉⠉⠉⠉⠙⠛⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡟⠁⠀⢀⣄⣤⣶⠲⠟⠛⢻⣿⣿⣖⣦⣄⡀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⣠⣾⣿⣿⢫⢹⣷⡏⢻⠚⡟⣯⢻⡋⠻⡽⢦⡈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⢠⣿⣿⣿⣿⣧⣾⣽⣷⠌⠃⣿⣿⣴⣧⢰⣷⢉⣷⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⢠⣿⣿⣿⣿⣿⣿⢿⣿⣿⣶⢐⠊⣹⢻⣿⣿⣿⢠⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣼⣿⣿⣿⣿⣿⠏⣼⢇⣿⣿⠈⢭⣿⣯⡿⣿⣿⣿⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣟⣱⣶⣿⣽⠁⣿⣷⣿⣧⣿⣽⡟⣺⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⢿⡿⠻⣯⣻⣿⣿⠲⣽⠟⢁⡿⠫⢾⣿⣿⣻⡿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⢿⣯⠁⠀⠈⠉⠀⠠⠚⣁⠴⠛⢆⠀⠀⠉⠉⠁⢸⣿⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡄⢸⣿⣿⣿⣯⡳⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢈⡆⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⢠⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⣿⣿⣄⠀⠀⠀⠢⢄⣀⣀⡤⠆⠀⠀⣠⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣌⢳⣄⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠈⠛⠻⠷⠦⣄⣀⣠⠴⠟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⢦⣀⠀⠀⠀⠀⠈⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠈⠉⠑⠒⠒⢒⡶⢊⠉⢻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⠛⠉⠉⠉⠉⠉⠙⠛⠯⣍⣁⣀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠈⠀⠀⠉⠛⢻⣿⠿⠿⠿⠿⠷⠤⢄⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢖⠲⣬⠭⣍⠉⠍⢐⣒⠦⣏⣀⡠⠔⣂⡒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣶⣶⣶⣶⣤⣤⣤⡖⢉⡤⠚⢉⣠⠽⣗⠺⢧⡀⠀⠈⠁⠀⠁⢀⣨⠤⠤⠤⠤⢤⣠⣔⣪⣭⡿⠉⠹⣒⠦⣄⣀⣀⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⢉⣠⠞⠉⢀⠀⢻⣭⣓⢽⣲⣶⣶⣒⢋⣉⣀⣠⣤⠤⣤⣤⣭⣽⣶⢿⣧⣀⠀⠀⠀⠂⠉⠳⣆⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣉⣀⣠⣤⣶⣖⣛⣓⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛⢻⠷⠶⢿⣿⣿⣶⣭⣛⠻⠶⢦⣄⣀⣤⡟⢦⡈⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠿⠟⠛⠛⠒⠲⠾⠷⠯⠭⢭⣿⣿⣿⣽⣿⣓⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢳⣽⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣏⡍⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢿⣷⣄⠹⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⢀⠴⠚⠉⠉⠁⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⣰⠋⣀⢤⡶⣄⠈⠁⠀⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠲⡒⠒⠽⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⢰⠃⢰⠣⠾⠁⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠀⣴⢺⢣⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⢸⠀⠈⠣⠼⠟⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢛⠚⠦⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠈⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⡿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠃⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠁⣸⠁⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣦⣦⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠿⠋⠁⠀⠀⣏⠀⠀⠀⠈⠻⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣤⣶⠾⠟⠋⠁⠀⣠⠔⠀⠀⠠⠏⠀⠀⠀⠀⠀⠀⠉⠻⠿⣦⣄⣀⣀⠀⠀⠀⠀⢀⣀⣤⡶⠋⠀⣾⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⣿⣿⢁⣿⢿⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⢉⣿⣿⠋⠩⡉⢩⡽⠋⠀⠀⣰⠃⠀⠀⣼ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣿⣿⣿⡿⠋⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢸⣿⣿⣾⣿⡷⡜⣧⡀⠀⣰⠃⠀⠀⢠⣿ ⣆⣐⣒⣒⣒⣒⣶⣒⣾⣿⣿⣿⣿⣿⣿⢟⣵⣿⣿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡿⠿⣾⡵⠞⠓⠒⠒⠒⣺⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡤⣼⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠄⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣟⠻⢦⡀⠀⠀⠀⢀⣠⡔⠊⠉⠉⠉⢿⢷⣦⣄⠀⠀⠀⠀⢠⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⢩⣿⣿ ⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⢻⣦⣀⣴⣏⠁⠇⠀⠀⠀⠀⠈⢿⣣⠻⣧⣄⠀⣠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⢹⣿⡟⣿⢄⠀⠀⠀⠀⠀⠘⡀⢧⢇⠀⠻⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣸⣿⠰⡻⡜⡄⠀⢰⠀⠀⠀⠀⢸⢸⠀⢰⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⣰⢧⣿⠘⡇⢹⡅⠀⠀⠀⠀⠀⠀⢸⢸⣦⡺⣎⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣳⡟⠉⣿⡇⠈⠀⣇⠀⠀⠀⠀⠀⠀⠘⡞⠈⢷⠸⣏⠳⣄⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⡬⠕⠒⠊⠉⠀⠀⠘⣿⢸⠇⡇⡆⠀⢀⠀⠀⠀⠀⠱⡄⠀⢣⠹⡆⠚⠋⠒⠒⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⡄⡇⡇⠀⠈⢆⠀⠀⠀⠀⠘⢦⢦⠱⣜⣆⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⣇⢣⠉⠀⠘⢆⠀⠀⠀⠀⠀⠳⡷⡈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⡄⣿⡜⣄⠀⠀⠈⠳⠀⠀⠀⠀⠀⠱⡳⡀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⢧⣿⡿⡜⢆⠀⠀⠀⠣⡀⠀⠀⠀⠁⠙⢮⣦⡈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⢧⠙⢎⢦⠀⢀⠀⠱⡄⠀⠀⠀⠀⠀⠙⢟⣆⠈⡝⢦⡀⠀⠀⠀⠀⠀⣿⣿⠿⠿⡿⡿ ⣿⣿⣿⣿⣿⣿⣿⣉⡉⡏⠉⠉⠩⠍⠉⣽⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡄⢸⡿⣃⠈⢣⡳⡈⣂⠀⠘⢆⠀⠀⠀⠀⢀⠘⣞⡆⢙⡂⠱⣄⠀⠀⢀⣼⣿⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⡀⠐⢂⣀⣀⠉⢛⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣼⠁⠈⠙⡄⢳⢱⠈⠑⢦⠈⢆⠀⠀⠀⠀⠣⢹⣿⡲⢄⠈⣹⣄⣀⣼⡿⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣶⣶⣿⣿⣿⣿⣿⣷⣶⣄⣀⣀⣀⣠⣄⣀⣹⡼⣷⡀⠀⠀⠈⡏⡆⠀⠈⢣⠀⠀⠀⠄⠂⣀⣄⣿⣽⣷⣾⣍⣛⣿⡭⠀⠠⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣇⠀⠀⠀⢻⡽⠀⠀⠀⢳⡴⢋⣴⣾⠿⠛⢉⠉⠉⠉⠉⠙⠛⣿⡒⠁⠀⠀⠀⢀⣸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠄⠀⠀⠀⠳⣷⣤⢀⢞⣥⣿⡟⠁⠀⠀⠀⣀⠤⠤⠀⠀⠲⠤⣽⣶⣳⣖⣶⠿⠋ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠙⢿⣮⣾⣿⠃⠀⠀⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠈⠉⠿⣿⠋⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣅⢢⢹⣻⡇⠀⢠⣞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠐⣟⢻⣸⢻⠁⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠤⡀⠄⠀⣈⡇⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣜⡆⡉⣿⡆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠄⠀⠁⠀⠀⠙⡿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⢷⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⣰⣷⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⢀⣴⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⣀⣀⣴⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿