Tails Emojis & Text

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

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