Poggers Emojis & Text

Copy & Paste Poggers Emojis & Symbols

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