Darling In the Franxx Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⠟⠋⠙⢦⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣢⣎⣀⠀⡾⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⡉⠉⠀⠹⢿⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⡎⡧⣀⣀⣠⢃⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠴⣱⣇⡗⢻⡻⣿⢾⣇⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠇⣼⡿⣿⣆⣹⢣⣿⡿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡿⢃⣼⣿⡇⢻⣿⣻⣿⡙⣿⣿⣿⣳⡄⠀⠀⠀⠀ ⠀⢠⡾⡑⢠⡿⣜⡿⣿⣬⣿⣿⣿⣷⣬⣿⡿⢿⣽⣦⠀⠀⠀ ⢀⣿⡷⢀⣿⡱⢎⣿⣿⣹⣿⣿⣿⢿⣿⢿⣧⢰⣿⡿⠁⠀⠀ ⢸⣹⢡⣾⣿⡘⣽⣿⣧⣿⣿⣿⡾⣯⢷⣿⣧⣿⣿⠃⠀⠀⠀ ⠀⢿⡍⣽⢸⠆⣿⣿⣿⣻⣼⣳⢿⡽⣛⣾⣿⡿⢿⢢⡀⠀⠀ ⠀⠀⣧⣿⠈⣿⣿⣿⡷⢯⡿⣽⣛⣾⣻⡽⣿⣿⣄⢣⡙⠥⡂ ⠀⠀⠘⠟⡄⣾⣿⣿⡽⣯⢟⣳⣟⢾⣵⣻⣳⢿⣿⣦⠗⠀⠀ ⠀⠀⠀⠀⠀⢸⣽⣯⢷⣯⣟⣷⣿⣿⣾⣿⣿⣿⣿⣿⡦⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣾⣿⣿⠿⠿⠿⣿⣿⣿⣿⡛⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡟⠀⠀⠀⠹⣿⡿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢿⣿⣻⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣷⡇⠀⠀⠀⠀⠀⠈⣿⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡆⠀ ⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠿⠿⠓⠀ ⠀⠀⠀⢸⠉⢉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⢈⠀ ⠀⠀⠀⢸⡀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠈⠀ ⠀⠀⠀⡸⢀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠇⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⠀⠀⣧⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣀⣰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁

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

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