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⠀⠠⠇⠀⣤⠀⠀⠀⠀⡀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠀⠐⠀⠀⠀⣔⠆⠀⠀⣠⢴⠦⡤⡀⠀⠀ ⠂⠀⡇⠈⠇⠀⠀⡠⠩⠃⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠐⠀⠀⠀⣠⢔⣿⢛⣼⠇⠙⡵⡀⠀ ⠁⠀⡗⠁⠅⠀⠂⠀⠄⠀⠀⠀⢐⠀⠀⠀⠀⠁⠀⠀⠀⠀⠐⠀⠀⠀⠀⡀⠀⠀⢀⡤⠀⠈⠀⠀⠈⣠⠔⠋⣹⠟⢡⣿⠋⠀⠀⠘⢳⠀ ⠀⠀⣖⡗⠁⠀⠀⠐⠂⠀⠀⠀⠄⠀⠀⡠⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡠⠂⡓⠁⠀⠀⠀⡤⠞⡃⠀⠀⠁⢠⣿⠃⠀⠀⠀⠀⢸⢀ ⠀⠏⡿⡏⣠⣶⣯⣉⣉⡭⢿⣖⣲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠲⠋⣗⣡⣲⡧⠤⠤⠤⡬⠤⠔⠋⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⢸⠈ ⠪⡠⡰⢧⣿⣿⣿⣿⢏⣛⠓⢦⠮⡛⠚⠌⠓⠲⠤⡤⡤⡒⢛⠉⠍⢒⣋⣡⣟⣉⣁⠀⠂⠠⢀⡀⠀⠀⠀⠀⢸⣏⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠄⠉⠉⡿⡿⡿⠇⠀⠹⣿⣯⣡⠓⡉⠉⠓⠋⠉⠻⠋⠹⠋⠉⢩⠏⠡⠀⠀⡉⣀⣈⡉⠉⠙⠛⠛⠒⠋⠉⠉⠉⠻⡍⠉⠉⠉⠉⠙⡇ ⠁⠀⣺⠀⣿⣿⠃⠀⠀⠎⠁⠈⢻⣷⠇⠀⠀⠀⣀⣖⠁⡀⠀⠈⠄⠄⡠⠥⠨⠄⠠⠀⡀⠱⡀⠀⠀⠀⠀⠀⠏⠀⠀⠙⢆⠀⠀⢀⠇⠀ ⠀⣂⣧⡖⡆⢿⡠⠀⠴⠀⠀⠀⣼⠇⠁⠀⠀⢁⠏⠀⠄⠈⠀⠊⠱⠏⠡⠀⡀⠀⡀⡀⠤⠾⠁⠂⣀⣀⡈⠀⠀⠀⠀⠀⠘⢦⠀⡞⠀⠀ ⠀⠑⡇⠀⠅⠮⣇⠀⠸⠀⠀⢰⠏⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠁⠁⠁⠀⠀⠀⡀⠀⠀⠀⠠⠁⠀⠀⢡⠋⠄⠀⠀⠀⠀⠀⠈⢾⠀⠀⠀ ⡀⠌⡇⠀⠈⡅⢘⣖⠀⠑⢁⡎⠀⠀⠀⠀⠒⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠁⡌⠀⠀⠠⠈⠁⠀⢀⡞⠁⠀⠀⠡⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⡁⠕⡗⠀⠐⠅⠑⠚⢎⠀⠀⠁⠂⠐⠄⢀⠁⡀⠀⣁⣀⠴⠶⠀⠤⠀⠨⠔⠐⢠⠓⠁⣊⡁⠁⠀⠀⠀⢀⣤⣷⣿⣿⣿⣷⣤⣠⢣⢰⠃ ⠀⡏⠇⠀⠀⠅⣘⠁⠈⢣⣄⠆⠀⡀⠁⣈⣠⣤⣄⣀⠀⠀⠀⠀⡊⡉⠀⡾⠷⠽⠟⠓⣄⠀⠀⠀⠈⣴⡏⠩⢹⣿⣿⣿⠈⣿⡇⢸⠀⡇ ⠀⡇⠇⠈⠆⠀⢸⠀⠀⠀⢹⠀⢿⣴⣿⣿⣿⣿⣿⣿⠿⣶⣼⠁⠀⡜⢋⠙⠀⠀⠀⠀⠀⠀⠢⠀⣸⠛⢿⣧⣾⣿⣿⠏⠀⣿⠇⢸⠀⢸ ⢰⠯⡁⢐⠀⠐⠢⠈⠀⠀⢸⠄⡘⣿⡗⢿⣿⣿⣿⣄⣀⣼⡿⣶⠅⠀⡇⠀⠀⠀⠀⠀⠀⠠⠀⠀⡿⢷⣦⠏⠉⠉⣡⠔⣽⡟⠠⣼⠀⠀ ⠉⠀⣇⠜⠀⠀⠀⠂⡀⡋⠹⡟⠁⢹⡇⡁⠹⡿⠿⠿⠟⠥⣋⠞⣇⡂⠆⠀⠀⣠⣤⣤⠀⠀⠀⡀⠹⢤⣀⣉⣉⣉⣤⡾⠏⠀⢨⡟⠀⠘ ⠀⠀⠇⡈⠀⠀⠀⠀⠂⡀⠈⢳⡀⠐⠻⣞⠲⡯⠦⣦⢴⡟⣃⡴⠏⠁⠈⢅⠁⠋⠿⠋⡀⠀⡀⠠⠀⠀⠨⠉⠉⠉⠉⠐⢂⢈⡞⡀⠀⠀ ⠀⠠⡼⠀⠐⠀⠀⡠⠌⠀⠀⠀⢳⡀⠀⠈⠛⠶⠶⠶⠖⠛⠉⠀⠀⠀⠀⠐⠚⠥⠔⢒⠒⡊⠈⠉⠙⠀⠀⠀⠀⠀⠀⣠⣼⠎⠀⠀⠀⠀ ⠀⠀⠹⡀⠁⠀⠀⠀⠡⠄⠂⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣂⣦⣦⣤⡴⠤⠚⠊⠁⠀⠠⠀⠀⠀⠀ ⠀⠀⠀⢇⠅⠀⠘⠂⠃⠀⠀⠀⠀⠀⠀⠑⠤⣀⡀⠀⠀⠀⡀⢄⣰⣠⣴⢶⠖⠚⠛⠋⠉⠉⢻⠇⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠂⢀⠀⠀⠀⠂⠀⠀⣀⣨⠿⠿⠯⢟⣉⠈⣧⣾⡣⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠤⠤⠤⣀⠀⠀⠅⠀⠂⢀⡴⠛⠿⠋⠁⣠⣤⣤⣤⣄⠀⢉⣛⡵⠇⠀⠀⠀⠀⠀⠀⠠⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⣵⣿⣿⣿⣸⠀⠀⢐⠀⡰⠋⠀⠀⠀⠀⠀⠈⠙⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢳⡄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⣿⣿⢿⡏⣿⠠⠀⠘⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣇⠀⣷⠻⣄⣠⠞⠇⠐⢀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⣻⣿⣾⡀⠍⠓⠋⠁⠈⠐⡞⠀⠄⠐⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠈⠈⢢⠀⠀⢀⠀⠔⠟⠀⠀ ⠀⠀⠙⢿⣿⣯⡁⠈⠀⠀⠆⣿⡗⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⣀⣠⡟⠀⠀⡀⠅⠀⢱⣱⠈⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠒⠓⡚⠒⠉⢸⢣⠄⠀⠀⠀⠀⠀⢰⠹⡀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠾⠋⠀⠀⠀⠷⡌⠀⠈⣇⢇⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠸⣿⣦⠀⠀⠀⠄⠀⡼⠀⠙⠛⠯⣧⠀⠀⠀⠀⠀⠀⢀⠀⠶⠀⠀⠀⠀⠀⠙⣄⠀⠈⣷⡟⡆⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣿⣦⠄⠀⠀⠀⡇⠄⠀⠀⠀⣿⠁⠀⢀⣠⣬⣥⣤⣄⣶⡆⠀⠀⠀⠀⠀⠘⠀⠀⠻⣢⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠿⠿⢓⣂⠤⠤⠞⠀⠀⠈⠠⠀⢹⡒⢰⣿⡟⢩⣉⣻⣿⣇⡏⠑⠂⠉⠉⠉⠰⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠙⠮⠿⣗⣛⡻⠿⠧⠗⠃⠀⠀⠀⠀⠀⠀⠀⠘⠈⠀⠀⠀⠀⠀⠀
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