New
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣖⣾⣿⠿⣿⡖⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡄⣒⣶⣶⠋⠉⠉⠀⠀⠀⠀⠀⠉⠉⠙⠛⠷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢤⡾⠍⠛⢒⣿⣿⡟⠋⢉⣉⣉⠙⠲⣶⡶⠧⠤⢤⣀⠀⠀⡦⠄⡀⠀⠀⠀⠀ ⡎⠘⢃⠀⣶⠏⠙⠛⠤⢶⠁⢰⣶⠙⡦⣤⠤⣶⡒⠢⡀⠉⠳⣷⣄⡈⢱⣄⠀⠀ ⠹⣷⣄⣈⡟⠀⠦⣀⠀⠈⠑⠒⠒⠊⠁⠘⢄⣛⣃⣠⠷⠤⠬⠿⡄⠉⠻⡝⡀⠀ ⠀⠀⠉⠛⣿⠀⠀⠈⣏⠉⢒⡶⠦⣤⣤⣀⣀⡀⠀⠀⠀⠀⡀⠀⣿⣀⣀⠼⢸⠀ ⠀⠀⠀⠀⠘⣦⠀⠀⠸⡄⠸⡄⠀⠈⠁⠈⡿⠈⢉⡿⠋⠉⠁⢰⣿⡤⣄⡠⠊⠀ ⠀⠀⠀⠀⠀⠈⠙⢶⡀⠈⠲⢍⣲⣶⣒⣊⡠⠖⠁⠀⠀⢀⠼⠋⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣤⡿⠓⠦⢤⣤⣀⣀⣀⣀⣀⣤⣴⣾⣁⣀⣀⣀⣀⠀⠀⠀⠀ ⠀⣠⠔⣺⠽⢿⡶⠟⣀⡤⠖⠚⠛⠛⠛⠛⠛⠻⣿⡿⠋⠀⠈⠩⣯⠹⡍⠒⠤⣀ ⠀⢧⣓⡦⢤⣿⣡⣞⡁⠀⢠⠀⠀⠀⠀⣄⠀⠐⣆⠙⠺⢦⣀⡀⠹⡀⠻⣤⠔⠃ ⠀⢸⢋⡉⠛⠒⠲⠿⠿⠯⠿⢿⡄⠀⠀⣼⠀⢠⣿⡤⠶⠶⠛⣒⣒⣿⣷⣿⠀⠀ ⠀⣾⠀⢹⡿⠛⠛⠓⠚⠛⢶⡾⢷⡀⢠⣯⠴⠿⠟⠛⠳⣿⣿⣿⣸⣿⣿⣿⠀⠀ ⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠈⠑⣾⠋⠀⠀⠀⠀⢰⣿⠏⣭⡴⢶⣿⣿⣧⠀ ⠀⣿⠀⢸⠇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠁⠀⠀⠀⠀⠀⢸⣿⣶⣿⣗⣛⣛⣿⣿⡇ ⠀⣿⠀⠘⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠿⣿⡿⣿⡿⡏⠀ ⠀⣿⠀⠀⡄⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⢹⠀⡇⠀ ⠀⢸⡀⢠⣧⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⢠⡇⠀ ⠀⠘⡇⠘⣿⠆⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⣧⠀⣿⠀⠀⢸⡀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠘⣷⠀ ⠀⢰⠿⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⡟⠀ ⠀⣿⠀⠀⣿⠀⠀⣾⠁⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⡿⠀⢀⣿⠀⠀⣿⠀⠀⢸⡄⠀⢸⡇⠀⠀⠀⠀⠀⠘⣧⠀⠀⢸⡀⠀⢸⣿⠀ ⠀⡇⠀⢸⣿⠀⠀⣿⠀⠀⢸⡇⠀⠘⡇⠀⠀⢠⡄⠀⠀⣿⠀⠀⠈⡇⠀⢸⣿⠀ ⠀⣷⣶⣿⣿⠀⠀⣿⠀⠀⢸⡇⠀⢀⡇⠀⠀⢸⡇⠀⠀⣿⠀⠀⢰⣧⣠⣼⣿⡇ ⠀⣯⠛⠿⣿⣷⡄⠻⣦⡤⢿⣇⣀⣼⣇⠀⢀⣸⣇⣀⣀⡿⠳⠶⠟⣉⡥⢞⣻⠇ ⠀⠈⠛⢦⣄⡉⠙⠓⠶⠦⣤⣬⣉⣉⣉⣋⣩⣤⣭⣭⣵⠶⠒⠚⠋⣉⡴⠟⠁⠀ ⠀⠀⠀⠀⠈⠉⠛⠲⠦⠤⣤⣀⣀⣈⣉⣉⣁⣀⣀⣤⡤⠶⠶⠛⠋⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡖⠀⠀⢀⣠⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣶⣤⣄⣰⣦⣀⢀⣠⣶⣿⣿⢃⣤⣶⣿⣿⣿⣧⢀⣀⣤⣶⠃⠀⠀⠀⣀⣠⣴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣤⣶⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠙⢿⣿⣿⡿⠋⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⣀⣤⣤⣄⣀⠀⠀⠙⠟⠁⠀⣀⣠⣤⣄⡀⠀⠀⠈⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⢛⣿⣿⣿⣿⠟⠛⠛⠛⠻⠟⠁⣠⣾⠿⠛⠛⠛⢿⣿⣦⠀⠀⣤⣿⡟⠉⠙⠻⣿⣷⣤⡀⠀⠈⠉⠉⠉⠉⠻⣿⣿⣿⣿⠃⣀⣠⣤⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⠋⠀⠀⠀⠀⠀⠀⢻⣿⡇⢸⣿⡿⠀⠀⠀⠀⠈⠻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⣿⣿⣿⡆ ⠀⠀⢀⣀⣀⡀⠀⣾⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀v⠀⠀⠹⣿⣿⡀⠀⠀⢻⣿⡇ ⢠⣾⡿⠿⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⢀⣾⣿⣧⡀⣼⣿⣿⠀⣿⣇⢠⣿⣿⣦⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⠀⣼⣿⡇ ⣿⣿⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⢸⣿⣿⣿⣷⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⡟⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⢿⣿⣶⣿⣿⣿⠇ ⢿⣿⣿⣄⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⠀⠀⠙⢿⣄⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣀⣴⣿⡟⠁⠀⠀⠀⠀⠈⢻⣶⣶⣦⠀⢸⣿⣿⠟⠋⠁⠀ ⠈⠻⠿⢿⣷⣤⣾⣿⡀⠀⠀⣠⣤⣶⣶⣿⣿⡿⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢀⣠⣤⣶⣿⠿⠿⠋⠀⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⡇⠀⠀⠉⠉⠉⠉⢹⣿⣷⣦⣀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣀⣠⣴⣶⣿⣿⣿⣿⡟⠁⠀⠀⠀⣸⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⡄⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣀⣀⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣫⣵⣶⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣄⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⡀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣯⡉⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢠⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣷⣄⡀⠀⠀⢀⣀⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣶⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠶⠶⣶⣆⣀⣴⠶⠶⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠈⢻⣿⣡⣄⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣴⡶⠶⢾⣇⢀⣶⣶⣦⡀⣸⣿⣿⣿⣷⠀⠀⣾⣇⣀⠀⠀⠀⠀⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠿⣏⣻⣿⣯⣶⣾⠟⠉⠙⠻⣶⣄⠀⠀ ⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠈⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠉⢷⡄ ⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⣀⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡃ ⣿⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⠋⣷ ⢹⡄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⡾ ⠀⢳⡄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⣠⡾⠁ ⠀⠀⣿⣷⣤⣀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⣰⡟⠀⠀ ⠀⠀⢻⡇⠀⠉⠁⠀⠀⠀⠀⠐⠲⠶⠶⠶⠶⠶⠶⠶⠄⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠘⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢿⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣀⡀⢀⣠⡖⣀⣴⣦⢀⣀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⣤⣤⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⡿⠛⣋⡀⠙⠿⠋⢀⣈⠛⠛⢻⣿⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⣩⡿⠟⠉⠉⠉⣴⠏⠉⠙⣷⡀⣾⠁⠉⠻⣦⡀⠀⠀⠙⢿⣧⣴⣶⣆ ⢠⡤⣤⣼⠏⠀⠀⠀⠀⢸⠇⠀⣤⡀⣼⡇⣧⢠⣄⠀⢸⡇⠀⠀⠀⠈⢿⡄⢨⣿ ⣿⣆⠀⣿⠀⠀⠀⠀⣤⠘⢧⡘⣿⣿⣿⣷⣿⣿⣿⢀⡾⠃⠀⠐⣤⣀⢸⣷⠿⠋ ⠈⠙⠳⣿⠀⠀⠶⢿⣿⣀⠀⠙⠻⣿⣿⣿⣿⣿⡿⠟⣁⣤⣴⡶⠋⠉⣸⡏⠀⠀ ⠀⠀⠀⠹⣧⡀⠀⠀⠻⣿⣷⣶⣤⣼⣿⣿⣿⣿⣾⣿⣿⣿⠟⠀⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⠀⠘⢷⣄⠀⠀⠈⠛⢿⣿⣧⡀⠀⢀⣸⣿⡿⠟⠁⠀⠀⣠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣦⣄⠀⠀⠈⠙⠛⠛⠛⠋⠉⠀⠀⣀⡤⠞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⢤⣤⣤⣤⣤⠴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⠿⠿⠿⠿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⣤⠀⠤⡄⠠⢄⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⢸⠀⣞⡁⢀⡱⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀ ⢸⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻⡇ ⢸⡇⠀⢠⣾⢿⣦⠀⣿⡿⠿⢀⣾⠿⣷⡀⠀⣿⡇⠀⢸⣿⠀⢠⣿⠀⢸⡿⠿⠇⠀⠀⢠⡾⢿⣆⠺⢿⡿⠿⢸⣿⢷⣦⠀⣾⡿⠿⠆⢸⡿⠿⠇⠿⣿⡿⠇⠀⢸⡇ ⢸⡇⠀⠘⣿⣄⠁⠀⣿⣇⡀⠈⣿⣄⠉⠀⢸⡿⣿⠀⢸⣿⡇⣼⣿⠀⢸⣇⣀⠀⠀⠀⠸⣷⡈⠁⠀⢸⡇⠀⢸⣿⢀⣿⠀⣿⣇⣀⠀⢸⣇⣀⠀⠀⣿⡇⠀⠀⢸⡇ ⢸⡇⠀⠀⠈⢿⣦⠀⣿⡟⠃⠀⠈⢻⣧⠀⣼⣇⣿⡄⢸⡟⣿⡿⣿⠀⢸⡟⠛⠀⠀⠀⠀⠙⢿⣆⠀⢸⡇⠀⢸⣿⢿⡏⠀⣿⡟⠛⠀⢸⡟⠛⠀⠀⣿⡇⠀⠀⢸⡇ ⢸⡇⠀⢰⣶⣀⣿⠀⣿⣇⣀⠰⣶⣀⣿⠇⣿⠛⢻⡇⢸⣿⢹⠇⣿⠀⢸⣇⣀⡀⠀⠀⢰⣦⣸⣿⠀⢸⡇⠀⢸⣿⢸⣿⠀⣿⣇⣀⡀⢸⣇⣀⡀⠀⣿⡇⠀⠀⢸⡇ ⢸⡇⠀⠀⠙⠛⠉⠀⠛⠛⠛⠀⠙⠛⠋⠀⠛⠀⠘⠋⠘⠋⠈⠀⠛⠀⠘⠛⠛⠃⠀⠀⠀⠙⠛⠁⠀⠘⠃⠀⠘⠋⠀⠛⠀⠙⠛⠛⠃⠘⠛⠛⠃⠀⠛⠃⠀⠀⢸⡇ ⠘⢿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢖⢛⠛⡲⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣁⣀⣐⣀⣃⣈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠉⣉⡉⣉⡉⣉⡉⢉⡉⢉⠉⡉⣉⡉⠉⢉⡉⣉⣉⢉⡉⢉⣉⢉⣉⢉⣉⠉⣷ ⣿⠀⣏⠁⣏⡁⣧⠁⣸⡇⣿⣴⡇⣿⡁⠀⢻⡉⢸⡏⣿⣹⢸⣏⢸⣏⠈⡏⠀⣿ ⣿⠀⣌⡇⣏⡀⣌⡧⡷⣧⣿⠟⡇⣿⡀⠀⢤⣻⢸⡇⣿⢻⢸⣇⢸⣇⡀⡇⠀⣿ ⢻⣄⣈⣀⣉⣁⣈⣀⣁⣈⣀⣀⣁⣈⣁⣀⣈⣁⣀⣀⣈⣈⣈⣉⣈⣉⣀⣁⣠⡟
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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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, ̄ ̄ ̄ ヽ◜ 𐙚 ◝ ̷ ̄ ̄ ̄ ヽ ( ̄ ̄ , ̄ ̄ ) ヽ/ イ ♪ | ̥𓏼 ᵒ̴̷͈ ·̮ ᵒ̴̷͈ ̥ 𓏼 | 丶 _ ´ / ︶︶ l͟͟͞·l ︶︶ \
. 🌺🌺 🌺🌺 🌺🌺🌺🌺🌺🌺🌺 🌺🌺🌺🌺🌺🌺🌺 🌺🌺🌺🌺🌺🌺 Λ 🌺🌺🌺🌺🌺 ( ˘ ᵕ ˘ 🌺🌺🌺 ヽ つ\ / UU / 🎀 \
⠀⣀⣀⣤⣤⣤⣤⣄⣀⣀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣴⣤⣀⠀ ⠘⠟⠋⢉⣠⣤⣭⣭⠭⡍⠀⠀⠀⢩⠭⣭⣭⣤⣄⡈⠙⠻⠂ ⠀⠀⠴⠯⢽⣿⡿⣹⣍⠟⠀⠀⠀⠻⠸⠏⠿⠿⠧⡽⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢰⠃⠀⠀ ⠀⠀⠀⠀⠀⢠⣀⣀⣀⣀⣀⣀⣀⣀⡤⠤⠞⠁⢀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀
There is much more!
We have so much more to offer, because we just love everything that has to do with text!
What about Text art? Or Characters? Perhaps you want your text flipped, or maybe upside down! Or find nice dividers that you can use as separator lines in text.
You can do it all on Messletters! Just have a look through the main menu on the left. Or on mobile, click the menu button on the top right.
If you have any suggestions or questions, you can contact us via either the contact page or else via Facebook, Twitter, Youtube, etc.
Messletters
Fancy Font Generator 😍 Stylish Text, Emoji and Symbols!
Create cool stylish text to copy and paste with our Fancy Font Generator ( ˘ ³˘)💕💯 Use it on Instagram, Facebook, Whatsapp or wherever you like!
Flip text
Turn your text Upside down or Mirrored 🙃
Turn your text upside down, put it in reverse or make your text reversed and upside down at the same time! HOUSE - ƎƧUOH - HOႶƧE - ƎS∩OH
Zalgo text
Decorate your text with Underline, Overline and Strikethrough 〰️
With our simple Zalgo generator you can decorate your text with underline, overline, bows, hooks and other shapes. You can add them under, over or through your text.
Stacked text
Stack two texts on top of each other 📚
Stack two texts on top of each other without using the space of two lines. ᵇaͤnͨdͬcͤrͣeͭaͥtͮeͤ
Big text
Create huge texts with ASCII characters 🅰️
Make a big impression with these enormous letters, also known as ASCII text, made out of normal keyboard characters. You can choose from over 100 different styles!
Emoji
Copy & Paste colorful Emojis everywhere! 🥰
You know these from your 💬 Messaging and 👫 Social Apps, but you can now copy and paste your favorite Emoji from our website and use them anywhere you want! 😊
Emoticons
Cute & Funny Japanese Kaomoji and other Emoticons ( ˘ ³˘)❤
Emphasize how you feel with our Text Emoticons. You can use them on Facebook, Instagram, Twitter or wherever you like! ≧◔◡◔≦
Symbols
Decorate your text with our Symbols! ♡ ❀
All symbols such as hearts, flowers, arrows, objects and much more! Use them on Facebook, Twitter, Instagram or in your blog posts!
Text Art
Pictures created from text and symbols ୭̥⋆*。
Text art, also called ASCII art, are images made from text. You can use them in your Facebook posts or on your blog, for example! Enjoy our collection!
Characters
Foreign alphabets, symbols and signs 🌐
A big collection of foreign alphabetical characters, like letters, dots, dashes, accents and more.
Text Art
Text Art is the creation of images from text, also known as ASCII art. You can use it on Facebook or in Youtube comments, for example! ツ
We have made a collection from the ones we found on the internet.
There are many Text Art images to be found online. If you have found a nice one elsewhere, don't hesitate to send it to us!
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It's completely normal for some characters to appear as squares.
Would you like to add your own creations or can't find something? Flick us a message!
Help us improve!
We love feedback! 😍 Let us know if you have any suggestions!