Neko Emojis & Text

Copy & Paste Neko Emojis & Symbols ^⇀ﻌ↼^ฅ | (^•ﻌ•^)

/l、 (゚、 。7 ⠀ l、゙~ヽ じし(_, )ノ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠖⠚⠉⠉⠉⠀⠠⣤⣄⡹⣷⣆⠈⠉⢉⣵⣶⣦⣄⣀⣤⣤⠤⠴⠶⠦⠤⠤⣤⣤⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣶⣒⣋⡉⠉⠉⠉⠉⠉⠓⠶⡤⠖⠉⠁⠀⠀⣤⣴⣶⠀⠀⢀⣠⠬⣝⣿⣿⣼⣶⣺⢿⣋⣻⣷⣾⣟⠁⠀⠀⠀⣀⡴⠶⠖⠋⠉⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠁⠀⠀⠈⠉⠛⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠈⠛⠉⢀⡤⠞⢁⣠⠤⠀⠈⠉⢛⡿⣿⣭⡀⠀⣋⡙⠦⣄⠀⠲⣎⠁⠀⠀⠀⠀⠀⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⣹⠃⠀⠀⠀⠀⠀⠀⡠⠖⠋⢀⡔⠉⠀⠀⠀⢀⣴⠂⠀⣀⠀⢳⡄⠈⠉⠓⠮⣙⠢⣌⣦⠀⠀⠀⠀⡼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠘⣿⣖⠒⠒⠒⠒⠒⠋⠁⠀⢀⡞⠀⠀⠀⢀⣴⠊⠀⠀⠀⠙⢆⠀⠙⢆⠀⠀⠀⠈⠳⣄⠙⠳⣄⡀⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⢰⠃⠈⠓⠦⣄⣀⠀⠀⠀⠀⡼⠁⠀⠀⢠⡞⡏⠀⠀⠀⠀⠀⢈⣷⣀⠈⢳⡀⠀⠀⠀⠘⣷⢤⣄⣉⣳⣶⣤⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⢠⠇⠈⠉⠀⠀⣰⡇⠀⠀⢠⠇⢰⠇⠀⠀⠀⠀⠀⠀⡇⢸⠷⣄⡹⣄⠀⠀⠀⢸⡏⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣟⡀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⢠⡿⣇⠀⢰⡟⠀⢸⠀⠀⠀⠀⠀⠀⢠⡇⢸⠀⠘⣏⠙⠳⠄⠀⠀⢣⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⣀⣿⡀⠀⠀⠀⣿⣺⣿⣿⣷⣿⣿⢷⣾⡇⠀⠀⠀⠀⣠⣿⣧⣏⣀⣀⣹⡄⠀⠐⢦⡀⠘⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡴⢺⡝⣾⠙⢦⡀⠀⣿⣻⡾⠋⢿⠁⠈⣧⠙⣇⣴⠄⠀⣴⠛⣿⣿⣿⣽⣻⣮⣧⠀⠀⠀⠙⠶⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⡏⠻⡏⠙⡆⠀⠱⣄⠙⡿⣇⠀⠀⠀⠀⡜⠀⠿⢻⣦⠞⠁⠀⢸⠏⠀⠘⡏⣿⣿⠀⠀⠀⠀⢈⣟⣛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⣸⠀⠉⠉⠀⠀⠀⠘⣶⣿⠙⢦⣀⣀⡼⠃⠀⠀⠟⠁⠀⠀⢠⣾⠀⠀⣸⢇⣿⠏⣀⣀⡴⠞⠋⣘⢸⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⡳⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⠓⠾⠃⢸⣿⠴⠛⠁⠀⢐⠚⢳⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡗⠀⠀⠀⠀⠀⠀⠀⠀⠸⣽⣦⡀⠀⠀⠀⣤⠖⠋⠉⢲⠀⠀⠀⠀⢀⡴⣿⠁⠀⠀⠀⠀⠈⢁⡼⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⢿⣔⣴⢤⣝⠦⣤⡤⠞⢀⡀⠀⣀⡬⠞⠁⠀⠀⠀⠀⠀⡴⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠄⠀⠠⡇⠀⠈⢻⣖⡖⠋⠉⣹⠋⠁⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣀⣀⣰⠟⣦⣀⣠⣇⠀⠀⠀⠀⠀⠀⣠⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠤⠖⠓⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠣⣄⣁⣼⠀⠘⣌⣁⡼⠇⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠊⠁⠀⠀⡦⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠈⠁⠀⠀⠀⠀⢲⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡾⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠉⠓⢢⡄⠀⠀⠀⠀ ⠀⣷⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀ ⠀⠈⢧⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢗⣷⠀⠀⠀ ⠀⠀⠀⠑⢄⠀⠀⠀⠛⠒⠢⠤⠖⠛⠉⠀⠀⠀⣀⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢃⡼⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠢⢤⣀⡀⠀⠀⠀⠀⣀⣤⠴⠚⠁⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣒⣦⣤⣤⣤⣤⣤⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⢄⣀⡤⠤⡒⣋⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢙⣓⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢄⠀⠀⠀⣀⡤⠄⠀⢀⣠⠄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢖⠋⣠⠤⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣀⠀⠀⠀⢰⡏⠀⠀⢠⠁⠀⢀⠊⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⠈⠳⣶⠚⠉⠀⠀⣴⠃⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⣄⢀⠈⠓⢦⣤⡟⠉⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡄⠀⠀⢀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠈⢫⣳⡀⠈⠳⣤⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⣤⠞⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⢳⣱⣤⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢇⠀⢹⡄⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⢀⡠⣶⠿⢿⠙⣆⠀⢀⡈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡀⠀⠉⠳⣤⡤⢴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣶⡿⠋⢁⣠⣾⣿⠿⡇⠀⠳⡄⠘⢦⣄⣀⠀⠀⠀⠀⠀ ⠤⠀⠠⠃⠀⠀⠀⠹⠼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢯⣠⣶⠟⠋⠁⢻⠀⢻⡀⠀⢻⣆⠀⠳⡈⠉⠙⠷⠶⠴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢻⠸⣟⠁⠀⠀⢀⣼⣇⠀⣇⠀⠠⢻⣇⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠁⠀⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡄⢸⠀⢸⢠⣠⠶⢻⢭⣿⡀⢹⠀⠀⡉⢟⣇⢰⣽⠖⠦⢤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡿⠛⠉⠀⠀⡀⠀⡇⡇⣀⠀⢠⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⡇⣸⠀⠸⣿⡅⠀⡼⣼⠀⣷⣾⠀⠀⠙⣾⣿⠟⢸⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣞⣿⡷⠋⠀⠀⠀⠀⢴⡇⢰⠀⡇⢿⡔⣸⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⣰⡇⡟⠀⠀⠏⣧⡶⠃⠇⢰⣿⣏⠀⠀⠀⢈⣻⣄⡿⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽⢛⠀⠀⠀⠤⡄⢠⣾⣧⢸⣀⣧⣼⣧⣿⡆⠀⠀⠀⢀⣤⡟⡏⢀⣰⢟⡿⠁⠀⠀⢀⣀⣤⣴⣤⣸⣶⣹⡄⠀⠀⠈⠻⡄⠀⠀⠳⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⣆⠀⠀⠀⡄⠈⣿⢹⣸⠀⠉⠀⢷⠃⡃⢀⢀⡴⣻⠟⠸⠗⡿⠋⠾⠁⠀⠀⢀⣼⣿⡟⠟⣿⣿⠉⣧⣳⠀⠀⠀⠀⠙⣦⣀⠀⠙⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢹⡆⠀⠀⢿⡀⣿⠈⣿⠀⠀⠀⠈⠀⠷⢟⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⣽⣿⠀⣿⡝⠀⢹⣿⡆⠀⠀⠀⠀⢸⣌⡏⠉⠁ ⠀⠀⠰⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡤⣿⣷⡀⠸⣧⣿⠀⢈⣷⣦⣴⣿⣶⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⠀⢟⡇⠀⠘⠓⣇⠀⠀⠀⠀⠘⡟⡾⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⡝⢦⡏⢻⣤⣾⣿⣿⣿⡛⠉⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡟⠀⣸⠀⠘⢦⠀⢹⢠⠀⠀⢠⣦⠁⠰⠀⠀ ⠀⠀⠀⠀⡄⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡛⠀⢁⣼⣿⣿⠋⣩⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠇⠀⠘⣆⠀⠀⠳⣼⢸⣀⣠⠟⠏⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣴⣾⣿⣿⣿⣶⣿⡿⠛⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⣿⠿⣍⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠏⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣟⠟⠃⠀⢘⣇⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠁⠀⠀⠉⠓⠦⣄⡀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢌⡉⠒⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠑⠦⣀⠀⠀⠀⠀⠀⠀⠉⠓⠦ ⣰⡏⠀⠰⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠙⠳⢤⣄⣀⡀⠀⠀⠀ ⢱⠁⠀⢀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣹⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠋⠀⠀⢀⡴⠋⠳⣄⡀⠀⠀⠀⢀⡤⠤⣭⣟⣯⣗⣀⠀ ⠈⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠈⢳⡔⢆⡀⠀⠈⠳⣤⡀⠀⣀⣠⡴⣖⠒⠋⠉⠈⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠉⣁⡤⠒⠛⠛⠒⢬⠑⢦⠘⡍⢹ ⢀⠆⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠈⣾⡦⣽⡲⣄⡀⠀⠉⠙⢧⡀⠈⠉⠛⠶⣦⣀⡀⠀⠈⠓⢤⡶⠶⠶⠶⠖⠒⠊⣿⠿⠿⠿⣷⡶⠖⠾⠟⢋⣉⡁⠀⠀⠀⠀⠀⠀⠑⣌⢑⣾⠗ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢿⡄⠉⠀⠉⠓⠦⣀⡀⠉⠲⣄⠀⠀⠀⠈⠙⠛⠶⢦⣤⣉⣲⣶⠒⠒⠋⣿⠁⠀⠀⠀⣼⢿⠉⠉⠉⠉⠁⡟⠓⢦⡀⠀⠀⠀⠀⢸⢿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢿⣆⠀⠀⠀⠀⠈⠙⠳⣤⠈⢓⣦⣀⠀⠀⠀⠀⠀⠈⠙⠓⠩⠿⣒⡤⠿⣆⣚⠛⠉⢷⡞⠀⠀⠀⠀⠈⠀⠀⠀⠙⢄⠀⠀⠀⡀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠡⠻⣆⠀⠀⠀⠀⠀⣀⣤⣚⣉⣀⡉⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣭⣉⡛⠻⢤⣄⣀⠀⠀⠀⡴⠒⠒⠢⢤⣳⠀⠀⣅⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡤⢠⣠⣾⣍⡉⠉⠒⠋⠉⢉⠲⣌⡑⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢭⡲⢦⣄⡉⠙⠲⢾⣀⠀⠀⣠⠶⠛⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠙⠶⡤⢾⡁⠀⣀⡤⠾⠷⠶⣭⣳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣗⠚⠓⠦⣄⠈⠙⠾⣅⢤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠙⡶⠋⠀⠀⠀⠀⠀⠈⠙⠻⢽⣲⣤⣀⠀⠀⠀⠀⠀⠈⠓⢤⣄⣂⣙⡦⣀⠀⠙⢶⡂⠀⢀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠹⡹⣆⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠐⠒⠛⠋⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠪⣟⠲⢴⣄⡀⠀⠀⠀⠙⢦⣈⠙⡮⣿⣄⠀⠙⣖⠀⠀⠀⠀
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ฅ^•ﻌ•^ฅ
ฅ•ω•ฅ චᆽච (´・ω・`)
₍^ >ヮ<^₎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠠⠤⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠔⢈⢥⠐⠀⠀⠐⢄⠈⠐⢍⠐⠢⠄⢀⠀⠀⠀ ⢀⠤⠀⠒⠊⠉⠈⠀⡰⠁⠇⠀⠀⡆⠀⢂⢡⠀⠀⢣⠀⠀⢀⠠⢉⠆ ⠀⠣⡄⡀⠀⠀⠀⡰⠁⣾⠀⠀⠀⢡⠀⠀⢂⠆⠀⠀⡆⠈⠁⡠⠃⠀ ⠀⠀⠐⢬⠀⠀⢠⠁⡀⠟⠀⠀⠀⢸⣥⡀⠈⣴⠀⠀⢰⠐⡌⠀⠀⠀ ⠀⠀⠀⡏⡇⠀⣼⢲⢹⡀⣿⡀⠀⠸⢹⣉⣫⡘⠆⠀⢀⣄⠇⠀⠀⠀ ⠀⠀⠐⡇⠃⠀⣿⠞⣿⣿⡿⠘⠊⠒⠉⣿⣻⡗⡆⠀⢀⢸⡇⠀⠀⠀ ⠀⠀⠀⢰⢀⠀⣿⠀⠫⠉⠇⠀⠀⠀⠀⠃⠵⠃⠃⠀⢸⠁⡇⠀⠀⠀ ⠀⠀⠀⢸⣼⡀⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣠⡼⢰⢀⡇⢰⠁⠀⠀⠀ ⠀⠀⠀⠀⠃⠣⢸⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⡷⡽⣾⡾⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠙⣩⣿⣾⣶⣿⡆⠠⢒⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⢛⠛⠿⣿⡿⠀⢹⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣾⣤⣤⣿⣇⠠⡣⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
/ᐠ_ ꞈ _ᐟ\
⠀⠀⠀⠀⡠⠞⠁⠀⡀⢀⠀⣰⠏⠤⢿⡇⠈⠉⠛⠿⣟⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠖⠁⠀⠠⠐⠀⢠⡼⠃⠀⠀⢸⢇⡀⠐⢠⠀⠈⠑⠿⣦⡀⠀⠀⠀⠀⠀ ⠀⣠⠋⠀⠀⠌⢀⣀⡤⠿⢤⣀⣀⣠⠞⢈⡇⠀⠈⡷⠀⢀⠀⡉⠙⠛⠓⠶⠢⠦ ⣶⠁⠀⠄⠈⢀⡖⠋⢀⠂⣀⠈⣹⠃⠀⢸⡇⠀⠀⠸⡇⢠⡀⠐⢆⠀⠂⠀⠄⢀ ⡇⠀⢀⠂⣠⠟⠀⠐⠀⢀⡤⢲⡟⠀⠁⣿⠇⠀⠂⠀⣿⡄⢳⡀⠈⢷⡤⠖⡚⠉ ⠐⡤⢂⢠⡏⢀⠈⠐⢈⡼⣡⣿⣃⡀⣼⢫⡇⠐⠂⠀⣹⡽⣄⠹⣆⠈⣇⠀⣰⣾ ⢆⡀⣼⡟⠀⠀⡐⠈⣼⠧⠟⢧⣔⣻⠁⠸⣅⡀⠂⠀⣹⡇⠈⣧⣌⠳⣼⣴⠋⠘ ⢀⡼⡟⠀⡀⠁⢀⣺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡾⣟⣷⠀⡗⢸⡑⣿⣿⣦⣀ ⢊⣼⠇⠐⢀⠈⣴⡟⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⣼⡇⠸⡇⣳⣿⠏⠀ ⢣⢾⡅⠂⠠⢘⣿⠻⢶⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⡐⡇⢿⣿⠀⠀ ⢣⢚⣧⡀⢁⠸⣿⠀⠀⠀⠉⠁⠀⠀⠀⠀⢠⣶⣷⣶⡋⣱⢞⣻⡇⠀⢸⣿⠁⠀ ⢣⢇⠞⣿⣄⠈⣿⢣⣄⠀⠀⢶⣦⣀⡀⠀⠈⠀⠉⢈⣿⣿⡎⣥⡟⠀⣴⣻⠀⠀ ⢣⢎⠽⣠⣿⢷⣸⡏⠉⣹⠶⣤⣬⢿⡽⣦⣤⡶⣴⣾⣿⣿⣣⡟⣃⣰⣿⡿⠀⠀ ⢣⢎⣳⡿⣽⢯⣟⣷⡀⣹⣋⣽⣯⢿⡽⣯⢷⡿⣽⣻⢿⣿⣿⣼⠿⠛⠉⠀⠀⠀ ⣧⣾⢿⡽⣯⡿⣾⣽⢿⣿⣿⣿⢯⡿⣽⢯⡿⣿⣳⢯⣟⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠒⠲⠐⠒⠚⠒⠲⣶⡒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠔⠊⢉⣁⡠⠖⠀⠀⠀⠀⠐⠢⡀⠀⠈⠐⢦⡉⠉⠒⠢⢄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⠤⠔⠒⠟⠉⠀⠀⡴⠃⣸⠁⠀⠀⠀⡀⠀⠀⢀⠘⢆⠀⠀⠀⠑⡄⠀⠀⠀⠀⠈⠉⠒⠢⢤⡀ ⣤⠖⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⣀⡇⠀⠀⠀⠀⣇⠀⠀⠈⢆⠈⢆⠀⠀⠀⠘⡆⠀⠀⠀⢀⡠⠔⠂⣰⠃ ⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢠⢿⠃⠀⠀⠀⠀⢹⡀⠀⠀⠈⢆⠘⡄⠀⠀⠀⠸⡄⠖⠈⠁⠀⢀⠜⠁⠀ ⠀⠀⠘⢮⠑⣄⠀⠀⠀⠀⠀⡼⠀⠀⢼⣼⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠘⡆⢱⠀⠀⠀⠀⢧⠀⠀⣠⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠑⡞⠀⠀⠀⠀⢰⠃⠀⡄⡜⢹⡀⠀⠀⠀⠀⠀⣿⣷⣄⠀⠀⠘⣌⡆⠀⠀⠀⠸⡀⠚⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡏⡽⠀⠀⠀⣯⠠⡼⢷⡇⠀⣷⡆⠀⠀⠀⠈⡟⢻⡉⠳⡒⠂⠼⣧⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠁⡇⠀⠀⢸⣿⢀⣧⣼⣧⣀⢻⡿⢆⣤⡀⠀⢹⣤⣷⣶⣾⣷⣆⠈⠀⠀⠀⠀⡟⢦⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⢰⠃⠀⠀⢸⣿⠿⢻⣿⣿⢿⣿⠷⠈⠻⠈⠲⠟⠁⣿⣿⣛⣿⣟⠳⠀⠀⠀⠀⡇⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢸⠀⠀⠀⢸⢿⠀⠸⡿⠻⠿⢿⠀⠀⠀⠀⠀⠀⠀⢿⡙⠛⣡⠇⢸⠀⠀⠀⢰⡷⠃⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢠⡄⠀⢸⣼⡄⠀⠙⠂⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⡏⠀⠀⠀⣼⠀⠀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣸⣧⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠃⡠⠀⢰⡏⠀⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⢻⡄⠀⣿⣿⣿⣷⣦⣤⣤⣤⣄⣀⣀⣠⣠⣤⣤⣶⣾⣿⡏⣰⣇⣠⡿⢱⢀⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⠄⠱⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⡿⠷⢿⣿⣵⡿⠜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠛⠙⠏⠫⠙⢳⣿⣷⣿⣧⣼⣿⣧⠈⠉⣠⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⣿⣿⣿⣿⣿⣿⣿⡆⠰⠁⡾⡖⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠛⠛⡟⠛⠿⢿⣿⣿⡇⠸⠀⢀⠇⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣀⡇⠀⠀⠈⣿⣿⡇⠀⢀⠎⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⢔⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣠⠤⠖⠶⠖⢺⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠄⠠⠞⠉⠋⠁⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠺⠥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠤⣀⡴⠻⣧⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⠴⠛⠀⠀⡀⠀⠀⠁⠀⠠⡄⠀⠀⠀⠀⡀⠀⠀⠀⠻⢦⣾⣋⡙⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⢱⢀⡶⠀⠀⠸⡄⠀⠀⠀⠀⠘⢌⠫⡳⣌⢳⡀⠀⠀ ⣤⡴⠶⠬⠥⠤⡤⠒⠀⠤⣀⠀⣿⣱⠂⠀⠀⠀⠀⠘⡏⣇⠀⠀⠀⢻⠱⡀⠀⠀⠀⠈⠢⠹⣦⡷⣿⣆⠀ ⠈⠳⢄⠀⠀⠀⡇⠀⠀⠀⢈⠛⣿⠃⠀⠀⠀⠀⡀⠀⡇⠘⡄⠀⠀⢀⣧⢽⣦⢄⠀⠀⠀⠀⠹⣧⠘⣿⠂ ⠀⠀⠀⠙⠦⡀⠳⣀⠀⠀⡸⠀⡇⠀⠀⠀⠀⢸⣧⣰⡧⠀⠘⣆⠀⠉⣿⣤⣿⣆⠀⡄⠀⢠⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⣈⠓⠒⠁⢰⡇⠀⠀⠀⢀⣾⣿⣽⠀⠀⠀⠸⠀⢀⠿⣿⣿⢿⣿⢹⠀⠈⣇⠙⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠓⠒⠀⢸⡇⠀⠀⣠⠟⣿⣿⣿⡦⣤⠄⢸⣀⠎⠀⣿⡿⠀⢃⢠⡇⠀⢹⡄⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⢸⠃⠀⠀⢹⡀⢿⣷⣾⢛⡿⠀⠀⠀⠀⠀⠀⠀⠀⢾⡈⢧⠀⣸⡇⠘⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣦⡐⣄⢸⠀⠀⠀⠀⢣⠸⣦⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣧⢸⣄⣿⠃⠀⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡗⡈⢦⠀⠀⠀⣄⠀⢣⠸⡍⠉⠀⠀⠀⠓⠒⠊⠁⣠⣾⣴⠛⣾⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠘⣎⢳⣱⡔⢮⣦⠀⣵⡹⡑⠒⠢⠤⢤⡤⣤⣾⠟⣸⠃⠀⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠈⠂⠻⠉⠀⠈⠑⡿⠉⠳⠀⠀⠀⢸⡀⠀⢉⣀⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠔⠒⠚⠁⠀⠀⠀⠀⠀⠈⠑⠚⠛⢧⡀⠙⢮⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠉⠳⢤⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⠀⠀⢳⡀⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⢧⠀⠀⠉⠑⠒⠤⠄⠐⠁⠀⠀⠀⡇⢠⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠘⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠸⣄⡠⠤⠤⠤⠤⢄⣀⡠⠔⠚⠉⠉⠛⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀
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ฅ(=ᵕ㉨ᵕ=)
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ฅ(ミ๐ᆽ๐ミ)ฅ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡤⠤⠤⠤⠤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠴⠶⠒⠚⠛⠛⠛⠓⠶⣔⠛⠋⢉⣁⠀⣼⣯⠾⠒⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣤⣴⣶⠒⠒⠒⢒⣶⠶⠶⣴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠈⠙⠢⣜⣛⣭⣍⣁⣀⠀⠀⢸⢣⡀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢷⠉⠓⠂⠀⠀⠈⠉⢀⡴⣺⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⠓⢦⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣿⣞⣧⡞⠉⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⢸⢠⠀⠀⠀⠀⠀⠲⡀⠀⠀⠈⢦⡀⠠⡈⠢⣧⠀⠀⢰⣿⡽⣻⠖⢃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⡜⢁⠂⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠁⡀⠹⡄⠙⠄⢠⡿⠁⠈⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣤⣀⣀⠀⡟⢦⠀⠀⠰⣸⠁⠘⡄⠀⠆⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠻⢆⢹⡀⠀⢿⡄⠀⢀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠉⠙⠳⢌⣣⡀⢀⡏⠀⢧⠁⢰⠀⠀⠀⢸⡇⡄⠀⠀⠀⠀⠸⣀⠀⢻⠀⠀⠀⠀⠀⠈⠀⡇⠀⠀⣷⠢⠅⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢣⡀⠀⢀⠴⠉⢿⡾⡇⠀⢸⠀⢸⠀⠀⢀⣈⣣⣧⠀⠀⠀⠀⠀⡏⠙⠲⣖⣒⣂⡉⠁⠀⠀⢱⠀⠀⣿⠦⣄⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⣠⣃⣀⢀⡴⡇⡇⠀⢈⠀⠸⣠⠞⠋⠉⠀⠛⢧⡀⠀⠀⠀⠀⠀⢀⣬⣾⣿⡷⣦⣤⡆⢸⣦⠘⣿⠀⠈⠙⠓⠾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠂⠀⠀⣫⣤⠇⢱⠀⢸⡀⠀⣟⣥⣤⣤⣄⡀⠀⠙⠛⠉⠀⠀⣰⣿⢟⣻⣽⣿⠈⡇⡇⠀⢹⡗⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⢠⠞⢡⠿⣄⠘⡆⠀⢻⠲⣿⠉⣾⣯⣽⣿⣷⡄⠀⠀⠀⠀⠟⠹⣮⡭⣯⣿⡿⢱⠀⠀⠈⡇⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣆⠀⢠⠏⠀⢸⣆⢹⡶⠻⡇⠻⡄⢿⣏⣛⣹⡟⠁⠀⣀⣤⠄⠀⠀⠈⠉⠉⠀⢀⣾⣾⠖⠀⣧⣸⠃⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠒⢦⣀⠀⠀⠀ ⠀⠀⠀⠀⠹⣤⠟⠀⠀⢸⣿⡼⢷⠀⢳⡀⠈⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣿⢋⣿⠀⠀⡿⣿⠆⠀⠀⢠⡤⣴⠋⢀⣀⣀⣀⠀⠀⠈⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⡟⢸⢣⠀⠁⢤⣿⢓⡶⠓⠀⠀⠀⠀⢤⠤⠞⠋⠉⠉⠁⠀⠀⢀⣠⣞⣁⣀⣴⠁⢸⠁⠀⠀⠀⢹⠏⠀⠀⠉⣠⡾⠀⠀⠀⠈⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠋⡷⣸⠺⡆⠀⠸⢿⣻⡤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠟⠋⠁⣿⣸⠁⣺⡟⠀⠀⠀⠀⠙⡆⠀⠀⠈⠷⠀⠀⠀⠀⠀⡞⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠐⣻⣿⡀⣹⢤⣀⣀⣷⠷⠤⠽⠛⠛⢒⣶⡖⠒⠒⠒⠋⢹⣦⣄⠀⠀⢰⠉⣧⡴⣯⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠐⠲⠀⠀⢀⡼⠃⠀ ⠀⠀⠀⠀⠀⡟⣆⠀⣼⠁⠉⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡿⠟⠲⠦⣤⣀⣼⠎⣿⣄⡀⢸⢀⡏⠀⣽⠁⢀⣀⣤⠀⠀⠀⠉⠢⢤⣤⣤⡤⠶⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠸⡶⣏⠀⢰⠁⢸⠀⠀⠀⠀⠀⠀⣀⣤⠞⠙⠳⠤⣄⣀⣀⣈⣉⡵⣿⣏⣟⡙⠛⢷⡶⣷⡞⠉⢡⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣷⠀⢽⣿⡄⢀⣴⣇⠴⢺⣷⠶⠚⠋⠉⠀⣤⠤⠴⣖⠶⠦⣾⣾⣿⠞⠋⠁⢀⠇⠀⢰⡄⠈⠻⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⠀⢖⡿⢷⣿⣫⢁⢀⡞⠀⠀⠀⠀⠀⠀⠙⢦⡀⢐⠔⡠⣻⣿⠻⣦⡀⠀⡾⠀⠀⠈⣷⠀⠀⠹⡳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢻⡏⠀⠀⢹⠁⢀⡞⠀⠀⠀⢠⡀⠀⠀⠀⠀⢧⠉⢀⡴⠋⠘⣆⢸⠛⢾⡇⠀⠀⠀⠹⣧⠀⠀⠁⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢸⣦⠞⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⢸⣤⠞⠀⠀⠀⠹⢾⣦⠎⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠈⠿⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⣼⣶⣾⠋⠁⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⡅⠀⠀⠀⠀⠀⠀⣸⠗⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⣿⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢘⣿⣯⡃⠀⠣⡀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠯⢲⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠎⠁⠙⠙⢦⡀⠉⠺⣄⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠈⠀⠀⠈⠛⣶⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠉⠲⢄⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠈⢹⡶⢤⣀⠀ ⠀⠀⠀⢀⣴⠏⠇⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠀⠙ ⠀⢀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣏⢉⡳⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀
ฅ(ミ⚈ ﻌ ⚈ミ)ฅ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⡟⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⡇⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠻⡝⠦⡀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠉⠉⠉⠉⢉⠟⠀⠀⠀⣇⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⠀⠘⢆⠈⠒⠤⢤⣤⣔⠊⠁⠀⠀⠀⠀⠀⠀⢠⠎⠀⢀⡜⠋⢻⠀⠀⠈⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡇⠀⠈⣢⡀⠀⠀⠀⠀⠉⠉⢀⣤⡆⠒⢄⠀⠘⠚⢏⣾⣅⠀⠀⣇⠀⠀⠀⠹⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡔⢻⡀⢩⡇⠙⠢⢄⡀⠀⠀⢀⠎⣿⠁⠀⠀⢣⠀⠀⠀⠑⡾⢄⣠⠞⠂⢦⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣎⢴⡾⢳⡈⣃⣀⡤⡾⠀⠀⠀⡘⢰⡟⠀⠀⠀⠈⡆⠀⠀⠀⠘⣆⠀⠀⠀⠀⠱⡀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⢁⡎⠀⠀⢹⡟⠁⢰⠁⠀⠀⠀⡇⠠⡇⠀⠀⠀⠀⢰⡀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠱⡀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⡏⠀⢠⢃⠃⠀⡇⠀⠀⠀⢰⣇⠀⠇⠀⠀⠀⠀⡘⢧⠀⠀⢠⡇⠸⡀⠀⠀⠀⠀⢣⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⠁⠀⢼⠸⠀⠀⣧⠀⠈⡇⠘⡿⡄⠀⠀⢰⠀⠀⠇⡸⠀⢀⡞⡇⢰⣇⠀⠀⠀⠀⠀⣆⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀ ⠀⠸⡀⠀⣸⡀⠀⠀⢿⠣⢄⣹⣆⣳⣷⡀⠀⢸⠀⣸⣤⢷⡴⠾⣴⡷⠃⢸⠀⠀⠀⠀⠀⣾⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢣⡀⢻⠳⡀⠀⠸⣄⡤⠿⠛⠺⠭⠙⢄⡈⣶⠛⢛⣩⣦⣤⣄⡀⡀⠀⡇⠀⠀⠀⠀⢸⡆⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⠺⠦⢸⠦⠤⣿⣤⣤⣶⣶⣶⣆⠀⠟⠛⠂⠘⢿⣿⣿⣿⣿⣷⣾⣷⠀⠀⠀⠀⢸⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⢸⣿⣿⣿⣿⣿⣿⢢⡤⣴⣄⠀⠀⣾⣿⣛⢿⡟⠁⠁⠀⠀⠀⠀⣸⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡄⠀⢰⠈⢻⡇⠀⠸⠛⣁⣺⠀⠀⢿⣤⣀⣀⠤⠴⠞⠁⠀⡇⠀⠀⠀⢀⣿⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠇⠀⢸⢿⡄⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠁⢸⠀⠀⢸⠀⢣⡀⠀⠀⠀⠰⣿⠛⢻⠟⠀⠀⠀⠀⠀⡎⠀⠀⣀⢰⣿⠏⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⡄⢸⠀⠀⠀⣇⠀⠙⠢⣀⠀⠀⠈⠉⠁⠀⠀⠀⢀⡠⡾⠁⢀⣔⣥⠟⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣧⠘⣧⠀⠀⠘⡄⠀⠀⠀⠑⠢⣄⣀⣀⣀⠤⠒⢉⣴⣡⡔⠫⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠳⢼⣷⣄⡄⠈⢢⣤⣀⠀⠀⣼⠀⠀⠀⠀⠀⠉⢡⠟⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⣠⡼⠁⣆⠀⠀⠀⢀⠴⠃⠀⢸⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⠀⢠⠋⠀⠀⠀⠀⣀⣀⣀⣀⣀⡠⠞⡱⠁⢀⡜⡆⣠⡊⠁⠀⠀⠀⡞⠀⠈⢣⡤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀ ⠀⠀⠠⠃⠀⠀⠀⡰⣻⠃⠀⡠⠔⠋⠀⡸⡇⠀⣾⠓⠛⠳⣵⠀⠀⠀⣠⠁⠀⠀⠀⠣⡀⠈⠉⢒⠖⠒⢦⠀⠀⠀⠀⠀ ⠀⡀⠁⠀⠀⢀⡜⠀⡟⢲⡁⠀⠀⠀⣠⠃⠘⡾⠻⠀⠀⢀⡼⡆⣠⢾⠃⠀⠀⠀⠀⠀⠈⠢⡔⠁⠀⠀⠀⠑⠄⠀⠀⠀
∧__∧ ꒰˵•ω •˵꒱ˎˊ˗ ꒰₾₾꒱ ⁔ ꒰ ꒱(( ꒰꒱ ꒰꒱)) ∨ ∨
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠀⠒⡲⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠠⠔⡂⠀⠀⠈⠀⠀⠄⣀⠴⣅⡀⠀⠀⠀ ⠀⠀⠀⢀⠰⠒⠁⢠⡄⠀⠀⢢⢀⠀⢠⠀⠀⠓⢯⢭⡲⡀⠀ ⣤⠴⠬⢠⠀⠠⢀⣟⠄⠀⠀⠈⡾⠀⠀⢇⢄⠀⠀⠊⢪⡪⣆ ⠀⠑⢄⠸⡀⠀⡈⡏⠀⠀⢰⣀⡇⠡⠀⢺⣟⣇⢀⠀⡈⡇⠉ ⠀⠀⠀⠁⡮⣀⣁⡇⠀⢀⣾⣿⣀⡀⡃⡜⢿⡟⡏⡄⢱⠙⠀ ⠀⠀⠀⠀⢃⠀⠀⠇⠀⢃⢻⢿⡻⠀⠉⠀⠈⠀⢇⢃⢀⡆⠇ ⠀⠀⠀⠀⠈⡦⡣⡀⠀⡀⢎⠇⠀⠀⠠⠤⠂⣰⡻⣼⠞⠀⠀ ⠀⠀⠀⠀⠀⢹⠐⡱⡧⠺⢄⡯⡍⠐⢲⠒⠺⠹⠁⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢤⠐⠒⠀⠀⠀⠈⠒⠚⢍⠉⡂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠆⠀⠂⠤⢀⠐⠁⠘⡄⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⣀⡀⠀⢀⡀⠧⢟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠊⠁⠀⠀⠈⠁⠀⠀⠀⢡⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠶⠒⠚⠉⠉⠉⠉⠉⠉⠙⠒⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣔⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠤⣄⣠⠤⠒⠚⠉⠁⠀⠀⠀⠀⠉⣽⣿⠀⠀⠀⠀⠀ ⠀⠀⢿⡏⠙⠒⠲⠶⠶⠒⠒⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢸⠀⠀⠀⠀⠀ ⠀⠀⠘⢧⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡤⠴⠚⣩⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠈⣦⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠲⣤⡋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣇⠀⠀⠀⠙⠳⠦⢄⣀⣀⣀⣀⠀⠀⠀⠀⢠⡾⡦⣄⠀⠉⠓⢮⣓⠒⠶⠶⠶⠤⠤⠴⠶⠿⠥⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠠⣖⣯⣿⣿⠀⠀⠀⢰⠏⢸⠁⠈⢳⡀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠐⠒⢄⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠚⣳⣶⣤⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⣶⣋⣧⠀⠀⠀⠀⢠⣿⠀⣸⠀⠀⠀⠹⣄⠀⠀⠀⠈⠳⢦⡀⠀⠀⠀⠀⠱⣄⠀⠰⣌⢷⡀⠀⠀⠀⠀⣹⣿⣧⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⢀⡾⠋⠀⠀⠀⠀⢀⡾⡿⢀⡿⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠉⠓⠤⢄⣀⣀⠈⠳⣄⠙⢿⣧⠀⠀⠀⠀⠀⢹⣿⠇⢰⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⠀⠀⠀⠀⠀⣠⠞⢠⠇⢸⡇⠀⠀⠀⠀⠀⠀⠈⢷⣤⡀⠀⠀⠠⠤⠤⠤⠿⠛⠁⠘⠳⣌⡻⣄⠀⠀⠀⠀⢨⣯⣤⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⢀⡴⠃⢀⡾⡀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⢳⡙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠙⠻⢄⡀⠀⠀⠀⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢀⡴⠋⢀⡤⢺⢄⣇⢸⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣉⡲⣤⡀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⠶⠿⠵⢶⡞⠉⠀⢸⢸⢸⣼⡀⠘⣆⠀⠀⢰⡀⠀⠀⠀⠀⢷⡀⠀⠀⢳⡀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠘⡌⠉⠉⠉⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡏⠀⠀⠀⣿⣾⡤⠿⣧⠤⠼⣦⣀⠀⢷⡀⠀⠸⡆⠸⣷⣤⣤⣤⣷⣤⣤⡄⠀⠲⣄⠹⣄⠀⠀⢳⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡞⠀⠀⠀⠀⣿⣧⠀⠀⠈⠀⠀⠀⠙⢦⡈⢷⡀⠀⠸⡄⢹⡙⣆⠀⠈⢳⡀⠀⠀⠀⠈⠙⠺⢷⣄⢸⠀⠀⠀⠀⢸⡎⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢶⠛⣷⠀⠀⠀⣿⢿⣿⣛⢛⡟⣻⢶⡦⣄⠙⠦⣳⣄⠀⠹⡌⣷⣼⣦⠀⠀⢷⠀⠀⠀⠀⡞⠀⠀⠀⡜⠀⠀⠀⠀⠈⣇⠈⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣾⠀⢸⣀⡄⠸⣿⡄⠻⣿⣮⡻⣿⣿⣇⡌⠀⠀⠈⠻⢶⢤⣽⣜⣿⣯⣷⣤⣌⡆⠀⠀⣼⠃⠀⠀⣼⢳⠀⠀⠀⠀⠀⢸⡀⠸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣿⠀⢘⣿⣷⡀⠹⣷⡀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠭⡿⢿⡇⠀⣰⠃⠀⠀⢰⠃⠈⣇⠀⠀⠀⠀⠀⣧⢀⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀⣿⠀⠈⠋⠙⣝⣄⠹⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣠⣇⢠⠋⠀⠀⢠⡏⠀⠀⢸⡀⠀⠀⠀⠀⠘⢸⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⡿⡆⠀⠀⠀⠹⣎⠳⣝⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠎⢀⣴⣎⢸⠁⠀⠀⠈⣧⠀⠀⠀⠀⠀⠘⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠠⢧⠀⠀⠀⠀⠸⡆⠘⣏⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡔⣿⡀⢹⣼⡆⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⢹⢀⣬⢷⡄⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣾⣧⠏⠱⣾⣿⣧⠀⠀⠀⡻⣦⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⢿⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⢸⠟⠳⡜⡟⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡶⣻⠟⠿⠀⠀⠀⠀⠉⠀⠀⠀⠇⡿⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⢹⡄⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⢻⡷⣄⣿⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢹⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣸⡃⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠈⢻⠀⠈⠑⠦⣀⡀⠀⣀⡠⠞⠉⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠹⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⢠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⢤⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠜⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡠⠴⠖⠊⠉⠉⠀⢀⠉⠓⠶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣺⠟⠙⠶⠤⣀⡀⠀⠀⠀⠀⠀ ⠀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠘⢿⡒⠢⢤⣀⡀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⠘⠀⠀⠀⠀⠀⠀⠈⠑⠂⠀⠀⠀ ⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⠳⡄⠀⠈⠉⠙⠲⣿⡄⠀⠀⠀⠀⠀⢀⡔⠉⠀⠀⠀⠀⠀⠀⠠⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⣀⣀⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢱⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⡌⠓⠦⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣍⠓⠲⠤⠤⣀⣀⣀⣀⣀⡀⠀⠈⠻⡕⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⠀⠉⠺⢽⡋⠑⠒⠤⣄⣀⣀⣐⡤⠤⠌⠓⠄⠀⠀⠀⠈⠉⠁⠈⠉⠁⠀⠀⠀⠀⠉⠓⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠉⠳⣄⡀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⣤⣤⣤⠤⠔⠦⠤⠒⠚⢉⡵⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀⠀⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⢠⠞⠁⠀⢀⡜⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠳⡄⠀⠀⠀⠉⠳⢤⡐⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⡰⠋⠀⠀⢠⠟⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠈⢧⠀⠀⠘⣆⠀⠀⢢⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⡼⠁⠀⠀⢠⠏⠀⠀⢀⡞⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠈⣇⠀⠀⠘⣆⠀⠀⢧⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠃⣠⠄⠀⣼⠁⠀⠀⢰⠏⠀⠀⠀⡼⠁⢀⡇⢠⢿⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⢸⡀⠀⠀⠸⡄⠀⠘⣆⠀⠀⠀⠘⣆⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢠⠇⢠⠇⢠⠏⠀⠀⠀⢸⠁⠀⢸⠇⢸⢸⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠈⡇⠀⢻⠀⡇⠀⡀⠀⢣⠀⠀⢹⡄⠀⠀⠀⠹⡄⠀⠀⢰⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⡼⠀⠈⠀⠀⠀⠀⡏⠀⢠⢿⡀⣾⠘⠀⣇⠀⠀⡇⠀⠀⡆⠀⠀⠀⡇⠀⢸⠀⠁⠀⡇⠀⠀⠀⠀⠀⢳⠀⢆⠀⠀⡇⠀⢠⠟⢶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⣰⠃⠀⠀⠀⣴⠀⠀⠀⢠⠏⢸⣤⣿⠀⠀⢹⡄⠀⠸⠀⠀⢰⠀⠀⠀⠀⠀⣿⡇⠀⢀⠇⢀⠀⠀⠀⠀⠘⡆⠸⡄⣀⠁⠴⠃⡀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⢀⡏⠀⠀⠀⠀⣿⠀⠐⢒⡟⠉⢹⣽⠙⡗⠶⣿⣷⠀⠀⠀⠀⢸⠀⠀⠀⠀⢠⣿⡇⠀⢸⠀⢸⠀⠀⠀⠀⠀⠃⠀⣧⠘⡆⠀⠀⠈⠳⣜⠆⠀⠀⠀ ⠀⠀⠀⠐⠊⣁⣀⣤⠞⠀⣸⠀⠀⠀⠀⠀⢻⠀⠀⣸⠀⠀⢸⡟⠀⢷⠀⢸⡏⢧⡀⠀⠀⠸⡄⠀⠀⣀⣾⣿⣷⣶⣿⡀⢸⠀⠀⠀⠀⠀⠀⠀⡿⡄⠹⡄⠀⠀⠀⢱⡀⠀⠀⠀ ⠀⡠⠖⠊⣀⡴⠊⢁⡠⠺⠇⢠⢿⠀⠀⡇⢸⣄⣤⣷⣦⣤⣴⡇⠀⠈⡆⢸⡇⠈⢳⡀⠀⠀⡇⠀⠉⡼⢻⡿⣇⠞⠸⠉⡿⢦⡀⠀⠀⠀⠀⠀⡇⣷⠀⢳⡀⠀⠰⣄⢳⡀⠀⠀ ⠠⣤⣖⡉⠁⠔⠊⠁⠀⠀⠀⡿⠘⠀⠀⡇⣼⠿⣿⣿⠍⡹⢙⡿⣦⣄⠸⡜⡇⠀⠀⠱⣄⠀⡇⢀⡜⠁⣸⢡⡏⠀⡆⠠⠇⠀⠀⠀⠀⠀⡇⠀⡇⠈⠀⠈⠳⢦⣀⠀⠙⢷⡄⠀ ⠀⠀⠀⠉⠉⠓⠒⠀⠀⠀⢰⠇⡀⠀⢸⠉⢿⡗⢿⡟⠀⠃⡘⢹⡞⠟⠀⢳⣧⠀⠀⠀⠘⢆⢿⠼⣀⣶⣿⡿⢷⣿⣗⣶⣀⠀⠀⢸⠀⠀⢣⠀⡇⠀⢀⣀⣀⣀⣈⡉⠂⢈⣿⣄ ⠀⠀⠀⠀⠀⠀⢀⣴⢀⣠⠞⠀⡇⠀⢸⡀⠀⡷⠀⠻⢶⣤⡵⠿⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⢻⣷⠟⣿⡿⢣⠆⣸⣿⢛⣷⡶⠀⢸⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⢀⡴⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠾⣟⡿⠁⠀⢀⡇⠀⠈⣷⠀⣟⠀⠙⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⣿⣠⠉⠀⣣⡟⢀⣾⠇⠀⠈⣀⠀⢸⡆⡇⠀⠀⢀⣀⣴⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠿⠧⠤⠶⠒⣾⡇⡇⢸⢸⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣛⠳⠞⠻⠦⣾⠅⠀⠀⢠⠇⠀⡼⠸⠀⠀⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣚⠁⠀⢧⠸⡄⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢠⠇⠀⠀⠀⡞⢀⢦⠃⢀⠀⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡅⠀⠀⢸⡄⢇⠙⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⢠⡆⠀⡼⢀⡞⢸⢀⡞⠀⠀⠀⠈⠻⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠤⢄⡀⠈⢧⠈⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢋⠏⢠⠏⣸⡽⠁⣜⠸⣼⢸⠧⠤⠤⠔⠒⠚⠛⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣀⡴⡞⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠋⠀⡞⣴⡇⡼⢣⢣⡞⡹⢦⡹⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣼⣁⡴⢻⣝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡽⢡⡿⠁⢠⠋⣿⡇⠀⢹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠘⣹⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠔⠋⢹⡟⢠⠞⠁⠀⠀⠀⣿⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⣀⣠⠴⠚⣽⠀⠠⡄⠀⠀⠀⠀⠀⠀⠠⠤⠖⠚⣹⠃⠀⡤⠋⢀⢏⡀⠀⡇⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠁⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⢻⣯⣷⡤⠟⠀⠉⠉⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡙⢛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣰⠶⢤⣍⡛⠶⣤⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⣠⠶⠛⣩⡤⠶⢦⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢁⡇⠀⠀⠈⢙⣶⠀⠉⠙⡏⢹⣿⠀⣿⣿⢀⡿⠉⠉⠀⢶⣏⠁⠀⠀⠈⡏⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⣧⣤⠴⠚⠉⠀⠀⠀⠀⠳⠾⠘⠶⠃⠻⠞⠁⠀⠀⠀⠀⠈⠙⠲⢤⣠⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⢠⣶⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣶⣄⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⣷⢀⣤⡶⠶⡶⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠟⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠛⠛⠓⣻⡟⠁⢻⡄⠹⡆⢻⡆ ⠀⠀⠀⠀⠀⠀⢸⡇⠠⠶⠚⢛⣻⡁⠀⠀⠀⢰⣄⠀⠀⠀⢀⣠⣤⣀⡀⠀⠀⠀⣠⡀⠀⠀⠀⢹⡛⠛⠲⠶⢸⣧⠀⣰⣇⣰⡇⣸⡇ ⠀⠀⠀⠀⠀⠀⠘⣇⠀⠶⠟⠋⠉⠀⠀⠀⠀⠀⠙⠛⠓⠛⠉⠁⠀⠉⠙⠛⠒⠛⠛⠁⠀⠀⠀⠈⠉⠛⠷⠆⣼⠏⠉⠉⠉⠙⢿⡋⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡄⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⣀⣿⣿⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⣯⣽⠏⠀⠀⠀⠀⣾⠁⠀ ⠀⠀⠀⠀⣠⠾⠋⠈⠻⢾⣎⣟⣻⣶⣶⢤⣤⣤⣄⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣶⠾⣟⢻⣥⡿⠟⠁⠀⠀⠀⠀⣼⠃⠀⠀ ⠀⠀⠀⣰⠏⠀⠀⠀⠀⢰⢿⠟⣏⠀⢹⠛⢧⣼⣅⢿⣩⠿⠛⠻⣿⣏⣹⡉⢹⣈⣷⣨⣧⡼⠷⠛⠋⠁⠀⠀⠀⠀⣄⠀⡼⠃⠀⠀⠀ ⠀⢀⣰⡏⠀⠀⠀⠀⠀⣿⣸⣆⣻⣤⣿⣀⡏⢹⡝⢿⡇⠀⠀⠀⠈⢻⠈⠙⢿⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⠃⠀⠀⠀⠀ ⠀⡿⣅⣇⠀⠀⠀⠀⠀⠘⠿⣤⠖⠛⢠⠟⠉⠛⢷⣜⣧⡀⠙⡟⣠⡟⢰⡶⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀ ⢀⣷⡙⢿⡀⠀⠀⠀⠀⢀⡀⢮⣷⡞⠛⠆⡞⠙⠻⣈⣷⣙⠛⠛⠛⠦⢼⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀ ⠸⣿⠓⢮⣿⣄⠀⠀⠀⠀⠙⢶⣼⡧⡞⠉⣻⣶⣿⠟⠛⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⢿⠶⠶⣏⣟⠳⣦⣄⣀⣀⣴⣿⠶⢛⣾⡿⠋⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠈⠳⣤⢿⣹⠆⢸⠇⣉⣯⣵⣗⡶⣾⣿⢷⣶⣦⠀⠀⣠⡴⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⢿⡄⢸⠞⢉⣁⣤⣬⣽⣿⡇⠈⠋⠁⠀⣸⠃⡴⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⠞⠉⠁⣠⠖⢛⣯⣷⠀⠀⠀⠀⣯⠸⣇⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣼⠁⣠⣾⡛⢮⣳⣄⣠⣤⠞⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠛⠳⠶⠶⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠶⠒⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠠⠄⠐⢒⣲⣖⠀⣤⣀⣀⠀⠠⠀⣀⣀ ⠀⠀⠀⠀⠀⡝⠓⠒⠠⢀⠉⠁⠀⠚⡃⢔⠠⠘⠻⠿⡓⢛⠅⡠⡒⠉⠀⡜ ⠀⠀⠀⠀⠀⠐⠄⠀⠀⢰⢖⠒⠒⠊⢠⠁⢀⡔⠁⠐⡈⢄⠈⠈⡙⠠⣔⠀ ⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⡌⠁⢀⡆⢠⢃⠀⠀⠀⡍⠢⡥⡀⠘⡏⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⡠⣼⢄⠀⣿⠿⠟⡾⣀⠀⣴⣷⣤⣥⠀⠢⣓⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡀⡋⠋⠂⠡⣿⢄⡀⠇⠹⠊⢀⠃⡸⡿⣀⠤⢛⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⡇⠀⠀⠀⢹⣅⠀⢠⠄⢢⠀⠉⣴⠋⠁⠐⡸⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠰⠈⢹⠉⢿⠓⡰⠈⠀⠀⡠⠊⠀⠀⠀ ⠀⢀⠄⠒⡂⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⠭⠇⠫⠕⠀⢀⠎⠀⠀⠀⠀⠀ ⠠⠁⡠⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣀⡀⠀⠀⠀ ⢣⠀⢄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠀⠀ ⠀⠁⢀⠑⠂⠀⠂⢈⡸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡮⠂⠀ ⠀⠀⠀⠈⠀⠀⠈⠁⠀⠈⠢⡀⠀⠀⠀⠀⠀⢀⠠⠄⠖⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠰⠦⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠢⠀⠂⠀⠀⠀⠀⠀⠀⠐⠠⡀⠀⠠⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⢄⡙⢤⢞⡔⠁⠀⠀⠀ ⠀⠀⡄⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⢀⣳⡄⠉⠀⠀⠀⠀⠀ ⠀⠃⠁⢦⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡶⣋⠴⠞⡌⢪⠢⡤⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠂⡇⠀⠀⠀⠀⢠⠀⠀⡟⣁⡠⣶⢰⠈⢧⢰⡄⣀ ⠀⠀⠀⠀⠀⠀⢠⣴⠞⠁⠀⡄⠁⡦⡄⠀⠀⢸⠀⣤⠃⢿⡴⠇⣟⠀⢙⣧⢇⠀ ⠀⠀⠀⠀⠀⠀⠘⡅⡀⠀⢸⢧⠘⢱⣇⡀⠴⠩⠞⠏⠀⣴⡶⣶⢫⡄⠀⠣⢈⣂ ⠀⠀⠀⡀⠀⠀⠀⠐⣵⣄⣾⢈⣦⣴⢬⡄⠀⠀⠀⠀⢸⣾⡇⠛⠘⢃⠀⢀⡿⠀ ⠀⢀⠀⢡⠀⠀⠀⠀⠘⢅⣱⣿⣩⣷⡄⠀⠀⠀⠀⠀⠀⠙⠃⠡⡈⢺⡧⠚⠀⠀ ⢀⠆⠀⠀⠆⠀⠀⠀⠀⠀⠙⠿⡯⠠⠧⠂⠀⠀⠀⠀⠀⠀⠀⢀⠣⡀⠀⠑⠢⢄ ⠊⢀⠀⠀⠈⠄⠈⠢⡀⠀⠀⠀⠈⣲⠀⠀⠀⠀⠀⠀⠐⠀⠀⢅⡀⠀⣁⣒⣤⡀ ⠀⠈⠀⠀⠀⠈⣶⢦⢈⠒⢆⠙⠠⢄⡁⠢⡤⠤⢀⡠⠴⢦⣤⣆⢒⠉⠀⠑⢕⡾ ⠀⠀⠀⠀⠀⠀⠈⢦⠀⠈⠒⢌⠢⢀⠀⠉⠒⠓⠦⡧⢒⡺⠀⠀⠂⣈⠢⠀⠈⠀ ⠀⠀⠀⢸⡀⠀⠀⠀⠑⢠⠮⢍⣊⠀⢡⣂⡄⡀⠀⠈⠙⢖⡭⣐⠢⢠⠘⠃⠁⠀ ⠀⠀⠀⠈⢷⡀⠀⠀⠀⠘⠀⠠⠄⡕⠁⠀⠈⠉⠓⢦⢄⡀⠈⠲⡈⢦⡁⢢⠀⠀
⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠁⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⢕⠢⡀⠀⠀⢀⠠⠐⠀⠉⠁⠀⡝⠀⣀⣡⠀⠣⡀⠀⠀⠀⠀⠀ ⠀⠀⠇⠈⠢⠀⠉⠉⠒⠂⢀⡀⠤⡀⠸⢆⢠⡁⠈⡄⠀⠘⡦⡀⠀⠀⠀ ⠀⡀⢚⡀⣏⠁⢢⠄⠀⢠⢻⠇⠀⠐⠄⠀⠑⠇⠤⠒⠐⡀⠀⠀⠄⠀⠀ ⢰⢢⠋⠑⣼⠖⡙⠀⠀⠀⢸⠀⠀⠀⢁⠀⠀⠈⠄⠁⠀⠈⠄⠀⠈⡄⠀ ⠀⣷⠀⠰⡌⠀⠀⠀⠀⣇⠈⠀⠀⠀⠘⡆⠀⣸⠘⡀⠀⠀⠘⡀⠀⠰⠀ ⠀⠃⠀⡀⠀⠀⣆⠀⣆⢋⠄⠀⠀⠀⣆⣃⣠⢹⡐⠃⠀⠀⠀⣡⠀⠀⡄ ⠀⠘⡀⠙⠄⠀⢇⡨⠾⠽⠟⠦⡰⡜⢛⣪⣦⣍⡀⢸⠀⠀⠀⢸⠀⠀⠃ ⠀⠀⠈⠚⢪⠒⠨⣲⣶⡷⣶⡄⠋⠉⠈⣛⣿⣿⠛⠿⠂⠀⠀⢨⡆⠀⠀ ⠀⠀⠀⢀⢣⠀⡄⢹⡈⠹⠟⡃⠀⠀⠀⠈⠉⠈⠀⢸⠀⠀⠀⣼⠇⠀⢀ ⠀⠀⠀⢸⡇⢰⠀⢸⢡⠈⠁⠀⢀⣀⣀⡀⠀⠀⠀⡘⠀⠀⢠⡿⠀⠀⢸ ⠀⠀⠀⢸⠇⢀⠀⠘⡀⠢⢀⠀⠈⠣⠊⠀⠀⠀⣠⠃⢀⣢⠖⠁⠀⠀⠀ ⠀⠀⠀⠈⢲⠸⣄⠀⠡⠀⠀⠁⠂⡄⠀⠤⠒⣡⢢⠒⠙⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠌⠀⠛⠒⠦⠕⠚⠂⠀⡇⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠊⠀⠀⠀⢀⡀⠠⠄⠒⢱⠃⠀⠀⠀⠀⠀⡱⠀⠂⢄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⡇⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠤⢀⣀⡴⠁⠀⠀⡇⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠱⡈⠲⢄⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⠁⠀⠀⠀⠀⠀⡜⠀⠀⢀⡀⣹⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⠀⠘⢄⠀⠈⠒⠢⠶⣶⣆⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⢠⡞⠉⠙⡄⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠉⠁⢀⣴⠐⠒⢄⠀⠈⠒⠫⡉⣿⣤⠀⠀⢱⠀⠀⠀⠀⠹⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠜⣇⠀⢸⠏⠉⠢⢄⡀⠀⠀⠀⠀⡰⢹⡟⠀⠀⠀⢣⡀⠀⠀⠈⢣⡸⣀⣀⡤⠧⠀⡄⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀ ⠀⡴⠁⣠⡾⡄⠸⠆⠀⠀⣠⡏⠀⠀⠀⢰⠃⣿⠇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠱⡀⠁⢆⠀⠀⠘⢆⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⣸⠖⢡⠎⠀⠘⢤⣼⡞⠋⡽⠁⠀⠀⠀⡜⠀⢹⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⢣⠀⠀⠀ ⠉⢠⢃⠀⠀⢀⠞⡜⠀⢰⠃⠀⠀⠀⠀⡇⠀⢺⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⡄⢱⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠈⡆⠀⠀ ⠀⣿⡏⠀⠀⡸⢰⠁⠀⢸⠀⠀⢀⠀⠀⣿⠀⠘⠄⠀⠀⠀⠀⢸⠈⡄⠀⠀⢠⡇⠀⣇⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⢱⠀⠀ ⠀⠿⡇⠀⠀⡇⠀⠀⠀⠸⡄⠀⠘⡆⠀⡏⣇⠀⠀⠀⢸⠀⠀⡞⢀⠇⠀⢠⠇⡇⢠⠻⡀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠘⡆⠀ ⠀⠀⡇⠀⠀⣷⠀⠀⠀⢸⡙⠦⣀⢹⣆⡰⣜⣄⠀⠀⢸⠀⢰⣧⡾⢲⡶⠫⣴⡧⠃⠀⣇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣇⠀ ⠀⠀⠹⡄⠀⡏⢦⠀⠀⠘⡇⢀⣠⠽⠷⠼⠭⠛⢦⡀⠘⣤⠟⠚⠛⣡⣶⣤⣭⡀⠀⠀⢸⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢻⠀ ⠀⠀⠀⠙⠦⣹⡀⠓⣄⡀⠸⣏⣀⣠⣤⣄⣀⣀⠀⢈⡷⠿⠦⠠⠿⣿⣿⣿⣿⣿⣷⣤⣾⡀⠀⠀⠀⠀⠈⢿⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠉⡰⠁⠀⠉⢯⣿⣿⣿⡿⢿⣿⡆⠀⠀⠀⠀⠀⠀⣩⣷⣶⣿⡿⠈⠟⢻⠁⠀⠀⠀⠀⢸⣿⠀⠀⠀⠸⠀ ⠀⠀⠀⠀⠀⠀⣰⢁⠀⠀⡀⠚⢿⡍⠛⣻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠙⠛⠛⠒⠁⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣇⡎⠀⢠⠃⠀⢸⡆⠀⠈⣉⡤⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⢸⣿⠇⠀⡎⠀⠀⠀⠸⡀⠈⠀⠀⠀⠀⠉⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣰⣿⡏⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⡾⣿⠀⢠⠃⠀⠀⢹⠀⠳⡀⠀⠀⠀⠀⠘⡟⠉⢙⡝⠁⠀⠀⠀⠀⠀⣸⠁⠀⠀⡠⢠⢿⡟⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⢿⡿⡀⢸⡀⠀⠀⠘⡄⠀⠈⠢⣀⠀⠀⠀⠈⠒⠉⠀⠀⠀⠀⠀⣀⣴⠇⠀⢀⣼⣡⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢧⣇⠈⣷⠀⠀⠀⢱⡀⠀⠀⠀⠙⠢⢄⡀⠀⠀⠀⢀⣠⠔⠊⢡⠏⣠⠴⣻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡹⢆⠘⣷⡀⠀⠀⠱⣄⠀⡀⠀⠀⠀⢹⠒⠒⠊⠉⠀⠠⠴⠟⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠃⠀⠉⠙⠻⠶⠦⠤⠼⠛⠓⠊⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣌⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢠⠤⠤⠐⠒⠈⠁⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠈⠒⢤⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⡅⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⡇⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠙⣌⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠔⠚⠋⠉⠉⠉⠉⢙⡟⠁⠀⠀⠀⣿⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡀⠘⢦⠈⠑⢦⣄⠀⠀⠀⢀⣠⡤⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⣲⡦⢿⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠈⠣⡀⠀⠈⠉⠛⠻⠿⠶⠤⣀⣀⠀⠀⠀⣀⠀⠀⠀⢀⡛⣀⣀⣒⣺⠀⠀⠀⡇⠀⠀⠀⠈⢳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠀⣹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⡇⠈⠙⢦⠀⠀⠉⠙⢦⣸⠷⡆⠀⠀⢸⡀⠀⠀⠀⠀⢳⡱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠛⡆⠀⢉⠗⠈⠛⠦⣀⡀⠀⠀⠀⠀⣴⢡⣳⠁⠀⠀⠀⢳⡀⠀⠀⠀⠙⢦⢧⣀⣀⡴⠷⠄⣤⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠟⣠⣴⣿⡄⠺⢶⠀⠀⢀⣼⡇⠀⠀⠀⢰⠁⢸⣿⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠈⢧⠈⠉⠀⠀⠀⠈⢳⡀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣧⠞⣱⠏⠀⠱⣄⣼⡴⠚⢋⡏⠀⠀⠀⠀⡸⠀⢸⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠃⣰⢁⠀⠀⠀⡼⡹⠁⠀⡾⠀⠀⠀⠀⠀⡇⠀⢸⠁⠀⠀⠀⠀⠀⢸⢷⠀⠀⠀⠀⢀⠈⢧⠀⠀⠀⠀⠀⠀⢱⡄⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣷⠏⠀⠀⣸⢡⠇⠀⢰⡇⠀⠀⠀⠀⠀⣷⠀⠈⡆⠀⠀⠀⠀⠀⢸⠈⡇⠀⠀⠀⣸⡆⠘⡇⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢾⣿⠀⠀⠀⡇⣼⠀⠀⠸⡇⠀⠀⢶⠀⠀⡿⡄⠀⠀⠀⠀⡆⠀⠀⢸⠀⡇⠀⠀⢀⢟⡇⠀⣿⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣽⠀⠀⠈⡇⠁⠀⠀⢸⣿⡀⠀⠸⣇⠀⣧⢻⡀⠀⠀⠀⡇⠀⢀⡇⢠⡇⠀⣠⠟⢸⠃⡼⠙⡆⠀⠀⠀⠀⠀⠀⣹⡄⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡀⠀⢸⣷⠀⠀⠀⠀⣧⠙⠲⣄⣹⡧⣜⣦⣳⡀⠀⠀⡇⠀⣼⢶⡟⣻⠟⠛⢳⣾⠞⠀⠀⣿⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⡀⠈⡏⢧⡀⠀⠀⢻⡀⣠⠴⠿⠿⠶⠿⠍⠙⢦⡀⢹⣴⠓⠛⠋⣵⣶⣶⣖⡀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⢸⢳⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢤⣹⡀⠙⣦⣀⠈⢿⣁⣀⣀⣤⣤⣤⣤⡄⠀⢹⡷⠿⠦⠨⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⣧⠀⠀⠀⠀⠀⢸⣼⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣱⠋⠈⠉⢻⣽⣿⣿⣿⣿⣿⣿⣗⡀⠀⠀⢀⡀⠀⠀⠋⣳⣦⣾⡟⣿⣽⡿⠛⠟⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⢨⣿⣿⡚⣿⢳⣿⡿⣽⢹⡖⠒⢾⡶⡄⠀⠘⠽⠯⠭⠴⢻⡏⠀⢀⡀⠀⠀⠀⠀⠀⣼⣹⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⣼⠀⠀⡴⠀⠸⣯⠁⠀⠐⠖⠊⢉⡹⡇⠀⠀⢿⣥⣄⣀⣀⣤⠤⠶⠟⠁⠀⢸⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣼⡇⠀⢰⡇⠀⢸⡿⣧⣀⡰⠶⠽⠟⠛⠁⠆⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⣿⡼⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡿⡏⡇⠀⡜⠀⠀⠀⡇⠸⡄⠀⠀⠀⠀⠀⠀⣠⣖⣤⣤⡤⡆⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣠⣏⣿⠃⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⡇⠀⠀⠀⣇⠀⠙⣆⠀⠀⠀⠀⠀⠛⣏⣀⣠⠞⠁⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⣰⢂⣟⡼⠋⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⠀⡆⠀⣇⠀⠀⠀⢸⡄⠀⠈⠓⢦⡀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢀⡤⣿⠃⠀⢠⣞⣥⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⢧⠀⢿⣆⠀⠀⠀⢳⡀⠀⠀⠀⠈⠑⢦⣄⠀⠀⠀⠀⠀⣀⡴⠚⠁⣰⢃⣀⡾⣋⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢹⢦⡈⣿⣆⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠈⣻⠒⠒⠚⠉⠁⠀⠠⠾⠟⣻⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠙⠚⠯⣷⣴⣀⣀⣸⠿⠯⠤⠂⠀⣰⢿⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠇⠈⣇⠀⠀⠀⠀⢀⡠⠚⠀⠀⠀⡇⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢩⡏⠀⠀⡘⢇⠀⣠⠖⠋⠀⠀⠀⠀⢸⠇⠀⠈⢣⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⣠⢶⠏⠉⠉⠉⢉⡽⠛⠁⣠⡏⠀⢀⣼⣧⣼⣼⡉⣆⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠳⡉⠙⠒⠶⠤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀ ⠀⠀⠀⡜⠁⠀⠀⠀⢀⡴⢣⡞⢀⣀⠴⠚⠁⠀⠀⢠⡏⢳⡀⡼⡟⠀⠀⠀⠈⢿⡄⠀⠀⢀⣴⠃⠀⠀⠀⠀⠀⠙⢦⠀⠀⢀⡴⠋⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠈⠂ ⠀⢀⠞⠀⠀⠀⠀⢀⡜⠁⢸⠏⢫⡀⠀⠀⠀⠀⢀⡜⠀⠀⣳⠃⡇⠀⠀⠀⣠⠟⡇⣀⡴⣫⠃⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣋⡀⠀⠀⠀⠀⠘⢆⡀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣦⣄⡀⠀⠀⡠⢄⣀⣀⣠⣤⣤⡦⠀⠀ ⠀⠀⢀⣤⣄⠀⠀⢸⣿⣿⠟⠉⠀⠀⢂⠈⡠⠈⠙⠿⣿⣿⡇⠀⠀ ⢀⣼⣿⣿⠋⠀⠀⢸⡟⠁⠠⠊⢀⠔⡡⠊⢀⠆⢇⠀⡘⣿⠀⠀⠀ ⣾⣿⡿⠁⠀⠀⢀⡟⠀⣤⠃⣠⢣⢴⢁⡔⡙⡜⠈⡧⠅⢸⠀⠀⠀ ⣿⣿⠁⠀⠀⠐⢸⣷⡤⣦⣏⣟⣯⣠⠊⣰⠋⠤⠀⢩⡀⣘⠀⠀⠀ ⣿⣿⣇⠀⠀⠀⣼⣿⣧⢋⡼⣸⠏⠼⡿⣽⠩⣽⢻⡞⣷⣼⠀⠀⠀ ⠘⢿⣿⣦⣄⢬⣾⢯⡿⡯⡓⠛⠚⠳⠧⠯⠾⠿⣜⣣⡟⡜⡇⠀⠀ ⠀⠀⠙⠻⣿⣼⠘⢜⡼⣷⣌⡀⢠⡤⢤⠄⠀⢀⣽⣵⢿⣧⡸⡄⠀ ⠀⠀⠀⢠⠊⠢⠵⣘⣑⣺⢿⣦⣌⡒⢘⣠⣴⡾⢝⣥⠎⣼⡵⢁⠀ ⠀⠀⠀⠀⠄⢀⠀⡀⢊⢰⠳⣷⢙⠿⠟⢋⢴⢷⠀⠃⠔⡁⠛⠑⡀ ⠀⠀⠀⠸⠈⠠⠂⡐⢄⡆⢚⣉⡶⠤⠤⢻⡇⠘⡀⠚⠪⠴⠅⢂⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⠀⠀⠀⠀⠁⠀⠀⠉⠀⠀⠀⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⣠⠎⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠁⠀⣠⠎⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⢀⠜⠁⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⣰⡯⢶⡇⣀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⡼⠁⠀⠀⠀⢿⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⠏⠀⠀⠀⠀⠀⣼⢁⡀⠠⠤⠤⠼⠇⠀⣼⡋⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠠⣀⣀⣴⣛⣁⡎⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠈⣢⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠈⠁⢀⡠⠝⠒⣶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⢀⣀⣀⣠⠖⠁⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠑⢄⡠⠔⠒⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠚⠋⠉⠁⠀⠈⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠉⠁⠀⠀⠀⠀⢀⡔⠉⠀⠀⠀⠀⠀⣠⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⡠⠀⠀⠀ ⠀⠀⠀⠀⣠⣆⡀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢀⠞⠙⢢⣠⢄⡠⠔⠋⡝⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⣇⡠⠚⠀⠀⠀⠀ ⠀⠀⢠⡾⠋⠀⠈⠉⢢⣀⡼⠁⠀⠀⠀⢀⣀⣰⣇⡠⠴⠛⠛⢅⠀⠀⡜⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀ ⣀⣴⠋⠀⠀⠀⣀⡤⠞⢻⠃⠀⠀⠀⠀⡍⢻⣿⣿⣶⣄⠀⠀⠈⠆⢰⡷⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⡿⠃⠀⠀⠀⣾⣁⣤⠴⡟⠀⠀⠀⠀⣸⠀⣾⣿⣿⣿⣿⣷⡄⠀⠀⣾⡇⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⣠⣧⠀⠀⠀⠀⠀⠀ ⠉⢓⣶⣄⣰⠁⢿⡟⢸⠇⠀⠀⠀⢀⣿⣾⡿⢌⣉⡽⠟⠹⠇⠀⠀⢻⡇⢠⠁⣿⠀⠀⠀⠀⠀⠀⢠⠀⡼⠀⢀⠂⡟⢹⠀⠀⠀⠀⠀⠀ ⡇⣏⠉⠉⡏⠀⣼⠁⡜⠀⠀⠀⠀⣼⠹⣏⠳⣄⠀⠀⠀⠠⡄⠀⠀⠀⠸⣼⠀⡏⠉⠉⡗⠢⢄⣀⡏⣴⠃⢀⡎⢠⠃⠠⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠺⣅⣴⡇⣠⡇⠀⠀⠀⣀⠇⠀⢿⠀⠀⠙⠢⠤⠴⠛⠦⡀⢀⣴⣿⣷⣷⣤⣼⠃⠀⢀⠟⣿⠃⠀⢸⢀⣎⣐⣒⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣿⣠⡘⠀⠀⠀⠀⣿⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⡿⢿⣛⣻⣿⠿⢛⣿⣧⡠⠋⡴⢿⡄⠀⡞⡟⠁⢀⣀⣉⡥⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣷⣀⣀⠀⠀⣿⡀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠳⣌⠀⠀⠀⢀⣼⣿⣿⣡⠞⢀⡇⠀⠀⣿⠁⡴⠁⠀⠈⠓⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⢿⣷⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣴⣿⣿⣾⡷⠃⠀⠘⣿⠀⢸⣿⡾⠉⠉⠀⠀⠀⠀⠉⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⡈⢇⠙⠶⠤⣄⣀⣀⠀⠀⠀⠀⠀⣀⣤⢾⣃⡤⠟⠉⠀⠀⡄⢢⣿⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠀⠀⢴⡊⢙⡏⠳⣜⢮⣣⡂⠀⠀⠀⠀⠉⣹⠉⠉⠉⣿⣾⡛⠢⣄⠀⠀⠀⠀⠈⣦⣿⡆⠀⡇⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡈⠟⠋⠉⠉⠳⢽⡻⣶⢄⡀⢀⣴⠵⠖⠀⠀⠀⠀⠸⡀⠙⣇⠀⠀⣠⠞⠁⢹⡇⠀⠃⠀⠸⡇⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⢈⣿⠗⠛⠛⢤⣀⠀⠀⠀⠀⠀⠀⠉⣤⠚⣤⠞⠁⠀⠀⠘⣿⡤⠀⠀⠀⣧⡤⠶⣍⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠤⠒⠒⠈⠉⠙⠒⠲⣌⠉⢁⣀⢼⠷⠃⠈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⠲⣿⠋⠉⠉⠽⠛⣹⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠀⠑⠞⠒⠒⠒⠀⠀⣼⣦⣀⢴⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢆⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠄⠀⠀⠁⠀⢠⠀⠈⠑⢄⠀⡀⢄⡄⠀⢠⣿⣿⡧⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣆⠀⠀⠀⢀⠃⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⢇⠀⠀⠀⢀⡘⡄⠁⢀⠟⠉⠁⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡖⠢⢤⣏⢆⠀⠀⡆⢀⡆⢀⠀⠀⢸⠀⠀⠀⠀⠀⡀⠸⡀⠀⠀⠀⠓⠸⡀⠘⣆⡀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⡄⠀⠈⠝⢷⣼⡇⢸⠁⠀⠀⠀⡘⣾⠀⠀⠀⠀⠗⠦⠥⠤⡤⠂⠀⠀⡇⠀⣿⣄⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⡤⠆⢀⡴⢿⡇⢸⠀⢸⡴⠊⠉⠙⠣⣀⠀⡀⠀⠀⣨⣿⣿⡶⣤⡆⢳⡀⣿⠀⠉⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⡇⠀⡠⢲⠃⢃⠈⣦⣘⡷⢶⣶⣦⣄⠈⠁⠀⠀⣾⣏⢽⣿⣧⣟⡇⠀⡿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⠈⣰⠋⢳⠘⣤⢼⡈⣇⢿⡾⡟⡿⠃⠀⣀⡀⠀⠙⠓⠛⠋⣸⣵⠄⢸⣰⠃⠀⠀⠀⠀⢀⡠⠤⠤⢄⠀⠀⠀ ⠀⠀⠘⡤⠃⠀⢸⣿⠻⡀⢣⡈⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⠾⢏⡿⠀⢸⢿⠀⠀⢠⣤⡔⠁⣀⢄⡀⠀⠙⡄⠀ ⠀⠀⠀⠀⠀⢠⣿⢿⡄⠀⢲⣯⡟⠁⠀⠀⠀⠒⠊⠉⠀⠀⠀⣀⣴⠾⣤⣴⢃⣼⠀⠀⠀⣽⠁⠀⢠⡜⠁⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠠⢷⡆⢱⣀⠈⢻⣏⣑⣶⠤⠤⣤⠤⠤⠤⠶⣏⠉⠀⢀⠿⣇⣴⠃⠀⠀⠀⠘⡄⠀⠀⠡⠄⠀⠀⡜⠀ ⠀⠀⠀⣷⡀⢰⠋⢻⢸⠈⠉⠉⠁⠀⠀⠀⣾⡿⠒⠤⢄⣰⡟⣷⣀⢸⣠⠏⢹⠀⣀⣠⠀⠀⠈⠢⠤⠤⠤⠤⠊⠀⠀ ⠀⠀⠀⡟⢳⣿⠀⠌⣸⠁⣀⣀⣀⣠⠴⠊⠉⢑⣒⠤⣤⣤⣶⣿⠾⣯⠉⠓⠻⣏⢁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⣷⠀⣿⣧⣾⡟⠋⡜⠉⠁⠀⠀⠸⣍⠉⢉⠉⣿⣿⣅⠀⢠⠃⠀⢸⡀⠈⢿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡾⠁⠈⡟⠁⡜⠀⠀⢀⡀⠀⠀⠘⡆⠁⡰⠋⢣⢹⠳⣮⠀⠀⠈⣷⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠁⡀⣀⡿⠞⠀⠀⠀⠈⡇⠀⠀⠀⠳⠞⠀⠀⠈⠻⠖⠁⠀⠀⠀⠈⢷⡄⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠻⢻⣿⠀⠀⠀⠀⠀⢰⡧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⢀⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠀⠠⡀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠗⠙⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⠉⠉⠑⢄⡈⠻⢤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠈⠳⣄⠀⠀⠀ ⠀⠀⢀⣾⠀⠀⠀⠀⠀⠈⠒⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠈⠏⠒⠤ ⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⡰⠛⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⢀⢎⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⢠⠋⠈⢴⠂⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⠃⠀⠀⣠⠧⠐⠒⠒⠂⠺⢉⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠌⠀⠈⠉⢉⠭⢂⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠑⡮⡉⠉⠉⢀⠀⠀⠀ ⠀⠀⠀⠀⠦⠐⠒⠂⠁⣠⠏⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⢀⠔⠁⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀ ⠀⠀⢀⣄⠀⠀⢀⠂⠀⠀⠀⡀⠣⣀⣀⠔⡚⠁⠀⠀⠀⠀⠀⠀⠀⠘⡀⠄⠀⠀ ⢀⡴⠃⠀⢀⢦⠎⠀⠀⠤⣼⣔⠉⠉⠄⢰⠀⠰⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀ ⣟⠀⠀⢎⣥⡾⠀⠀⢰⢰⢿⣿⣷⡄⠀⣾⢀⢧⠀⠀⠀⠀⠀⡈⠀⣸⡄⠀⠀⠀ ⣤⠛⠺⢈⠆⠇⠀⠀⡞⡿⡁⠈⠁⡁⠀⠙⣈⠘⠒⠤⢀⢠⣡⠁⣎⠆⡃⠀⠀⠀ ⠀⠉⢣⡞⢰⠀⠀⢴⠀⢇⠀⠑⠒⠓⢢⣤⣿⣿⣴⡇⠠⢻⠃⢸⡴⠴⠤⠀⠀⠀ ⠀⠀⠀⠙⠧⣀⠀⣿⠀⠀⡀⠀⠀⠀⠸⡁⠀⢁⡼⣿⡑⢱⠁⣰⢠⠂⠙⠣⡀⠀ ⠀⠀⠀⠀⠀⠀⢣⠹⠣⣀⡀⠀⠀⠀⠀⠀⣱⢛⡿⠋⠀⣸⠀⣿⡃⠀⠀⠀⠀⢢ ⠀⠀⠀⠀⠴⣠⣞⢷⢥⡀⠈⠉⢩⠂⠈⠿⠞⢥⡀⠀⢈⣾⡆⠈⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠈⠀⠀⠉⢻⡷⠲⢋⠁⠀⠀⠘⢀⢧⡴⠋⠀⣧⠀⠀⣇⠠⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠒⠊⠉⠁⠀⠀⠀⠀⠀⠉⠁⠒⠦⢄⣀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣤⠀ ⠀⣶⠒⠦⠤⠤⠤⠤⠒⠒⠂⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠍⠉⠀⠀⠀⠀⠀⠀⠀⡼⠙⠀ ⠀⠘⣆⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠤⠤⠒⡹⠃⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⡄ ⠀⠀⠘⣆⠀⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠑⠺⢄⣀⣀⣀⣀⡀⠀⠀⣀⣠⠊⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢸⠀ ⠀⠀⠀⠘⢆⠀⠀⠀⠈⢩⣖⣶⡆⠀⠀⢠⠋⡇⠱⡄⠀⠈⠳⣄⠀⠀⠈⠀⠤⡈⠉⠒⢄⠀⠀⠀⠀⠰⣯⣄⡀⠀⠀⡎⠀ ⠀⠀⠀⠀⠈⢦⡀⠀⠀⣞⡻⠁⠀⠀⢠⡇⢠⡇⠀⠈⢦⠀⠀⠈⠑⢄⡀⠀⠀⠘⢆⠀⢤⡱⡄⠀⠀⠀⣿⣿⡄⠀⡼⠁⠀ ⠀⠀⠀⠀⠀⠀⠙⠦⣤⠋⠀⠀⠀⢀⠾⡇⣼⠀⠀⠀⠀⠑⢤⡀⠀⠀⠈⠒⠠⢤⣀⡱⣄⡙⣷⠀⠀⠀⠀⢽⠇⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⡴⠋⣸⠀⣿⠀⠀⠀⠀⠀⠈⢻⠢⢄⡀⠀⠀⠀⠀⠀⠀⡙⠺⣧⠀⠀⠀⠙⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⠀⢀⡠⠊⣠⠴⣅⣆⡏⢆⠀⠀⠀⠀⠀⠀⢣⠀⠈⠢⠀⠀⠀⠀⠀⠈⠑⠤⣍⣢⣄⡀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠐⠚⠛⢲⠏⠁⢠⣧⢻⣇⠈⢦⠀⠐⡄⠀⠀⡀⢧⠀⠀⢳⡀⠀⠀⠀⠘⢄⠀⠀⣆⠉⠉⠙⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⠇⠀⠀⢸⡟⠈⠙⠋⠙⠳⣄⠹⡄⠀⢣⠘⡿⡒⠚⠻⡒⠀⠀⠑⠮⣦⡀⢸⠀⠀⠀⢸⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⡼⢢⠀⠀⣻⣿⣶⠶⣶⢶⣤⣌⠳⢽⣄⠀⢣⢳⣽⣄⠀⢱⠀⠀⠀⡴⠀⠈⣸⠀⠀⠀⠸⡄⢳⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⢸⣤⠀⢻⡆⠻⣷⣟⣿⣿⡄⠀⠀⠙⠷⠬⢿⣿⣿⣷⣬⡆⠀⢰⠃⠀⢰⠻⡀⠀⠀⠀⢣⠀⡇ ⠀⠀⠀⠀⠀⠀⡼⠀⢰⡇⠀⠿⣷⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠙⡇⢠⠃⠀⢀⠇⠀⢧⠀⠀⠀⠘⡆⣴ ⠀⠀⠀⠀⠀⢾⡇⠀⠈⣧⠀⠀⠈⢿⠢⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣳⠏⢀⡄⠘⠀⠀⠸⡄⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⢠⣿⠀⠀⠀⠸⡄⠀⠀⠈⣆⠸⡝⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⢞⣇⢹⣶⠀⠀⠀⡇⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⢣⠀⠀⠀⢸⣴⡛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡞⠈⠻⠿⠂⠀⠀⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠈⢇⠀⠀⠈⠁⠹⣧⡘⡦⣄⠀⠀⠀⠀⠀⠀⢀⡴⣾⡏⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠈⡇⠈⠓⠤⣀⣀⣠⠔⠋⠀⡟⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⣀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃ ⠀⠀⠀⠀⠀⠀⠈⢒⣤⣀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠀⠀ ⠀⠀⡀⠤⠒⠊⠉⠁⠀⢈⠉⠒⠢⢤⣀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⢀⠤⢲⠟⠉⠓⠢⠄⡀ ⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠙⢍⠁⠒⠀⢄⣡⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠠⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢀⣀⠠⠤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⠠⠴⠊⠀⠀⠀⠀⠈⠐⢄⢀⢊⣃⠀⠀⠀ ⡞⠋⠍⡉⠁⠀⠀⠀⠀⠀⡠⠂⠀⢀⠄⠀⠄⡙⢅⢚⠄⠀⠀ ⠸⡀⠀⡊⠁⠀⠀⠀⠄⠀⠀⠀⡐⠁⠀⠀⠀⠈⠄⢢⠃⠀⠀ ⠀⢣⢠⠃⠀⠀⣔⢀⠀⠀⠀⠉⠁⠈⡀⠀⢀⠀⠈⡌⢄⠀⠀ ⠀⠀⠹⡦⠀⢰⠀⢸⠀⠀⠈⡄⢔⠀⠃⠀⣠⢤⣤⠴⠄⡞⠁ ⠀⠀⡠⠃⠀⢀⠀⡘⡀⠀⢢⢿⡿⢄⠗⠁⢹⣯⠾⠀⢰⠁⠀ ⠀⠪⢀⠀⠀⠘⡐⠊⠘⢄⡏⠸⣿⣿⡄⠀⠀⠛⡃⢆⡎⠃⠀ ⠀⠀⠀⠚⡥⠀⠣⡠⢄⣲⡈⠀⠉⠁⠀⢠⡊⠉⡩⢚⢆⠤⢄ ⠀⠀⠀⠀⠈⠁⠀⢹⡠⢌⢴⡤⢀⠀⢀⡞⢖⠊⠀⡹⣈⢪⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣮⣸⡏⠑⢦⣌⣦⡑⠄⠰⠃⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡎⠈⢻⣿⠀⣃⣠⣏⠂⠀⠘⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⣿⣿⣾⣿⢇⠀⠀⠰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣿⣿⡟⠠⠃⢠⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢍⠉⣩⡞⠋⠠⠃⠀⢻⠐⠲⠀⠀⠀⠒⡊⠁⢀⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣽⠏⢠⠀⡆⠀⠀⠈⠈⠀⠙⢄⢄⠀⠐⢀⠎⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⡺⢁⢃⡆⠐⠓⡀⠀⡁⡀⠀⢂⠢⠡⡡⡠⠉⠀⠈⠈⡄⠀ ⠀⠀⠀⠀⠀⠁⡙⠀⠂⣆⢡⠂⠘⢧⣀⡧⣀⡤⠤⠈⠁⢰⡱⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⢇⡛⢸⣆⣑⣓⢆⣤⠟⣉⣉⡑⢲⡄⠁⠈⠡⢁⠀⠀⠀⠨⠄ ⠀⠀⠀⠀⠀⠀⠘⡇⠘⣿⠿⠗⠋⠁⠘⣿⠿⡏⠿⣷⠀⢀⡇⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢣⡆⢚⠀⠰⠀⠀⠀⢄⠀⠅⢤⡇⠀⢸⢡⢄⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠦⢺⠌⠀⢢⠀⡔⠒⡄⠀⠀⣠⠾⠁⠂⡶⠘⠢⡀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡫⡢⡯⠁⠒⠤⠤⡔⢪⠏⠜⠁⣬⠏⠉⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠊⡠⠊⠪⣂⠁⢀⡴⡷⡫⢾⣡⠞⠁⠀⠀⢀⣰⠋⠀⠀⠀ ⡀⠀⠐⠲⠖⠈⠀⡔⠀⠀⠀⣘⢍⠪⣊⡴⠗⠋⠀⠀⠀⡀⠔⠁⠀⠈⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⣌⢠⡄⠶⠙⢸⡤⠞⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡔⠁⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⡌⢌⠢⠄⣀⡤⠐⠈⠁⠀⢀⠌⢀⠄⠇⠈⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣁⠠⡦⡀⠀⠀⢈⢴⠊⠠⡈⠙⢝⡄⢘⡀⠀⠉⢄⠀⠀⠀⠀⠀⠀⠀ ⢠⡪⠞⢌⣇⢤⠇⠀⡈⢾⠀⠀⠃⠀⠀⢊⠁⠀⠑⡀⠀⢣⠀⠀⠀⠀⠀⠀ ⠈⣾⠀⡘⠃⡈⠀⠀⡇⠠⠀⠀⠸⡆⠀⡀⢂⠀⠀⠰⠀⠀⠆⠀⠀⠀⠀⠀ ⠀⡇⠀⡟⠀⢣⡀⢆⠷⡀⠀⠀⣄⣆⣠⣁⠜⡀⠀⠀⣃⠀⢰⠀⠀⠀⠀⠀ ⠀⠘⡀⡷⡀⠸⡨⠚⠛⠓⢄⣶⢛⣾⣤⣁⡀⡇⠀⠀⢸⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠌⠁⣿⣿⣿⣿⢌⣠⡈⢩⣿⣿⠟⠋⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠆⡀⢸⣅⣘⡥⠇⠈⠓⠀⠒⠊⠀⡇⠀⠀⣿⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⡟⠀⠁⠈⠘⠄⠀⠀⢖⡲⠂⠀⠀⣰⠀⠠⣼⠏⠀⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠡⡄⣆⠀⢃⠀⠑⠠⣀⠀⣀⠤⢢⣃⠴⠟⠁⠀⠀⠀⠸⠀⠀⠀⠀ ⠀⠀⠀⢠⠋⠚⠦⠦⠵⠂⢀⢼⠀⠀⠈⡡⠉⢄⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀ ⠀⠀⠠⠁⠀⢀⠀⠀⢀⠔⡝⢠⢃⢔⠊⠀⢰⠀⠡⠄⢀⡀⠀⠀⠀⠑⠀⠀ ⠀⠐⠁⠀⡔⡬⡔⠈⠀⡘⢣⠋⠀⢈⡆⣠⠂⠀⠀⠐⢄⠔⠁⠑⠄⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⠀⠀⠤⠀⡀⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⡆⠤⠤⠤⠀⠂⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣡⠖⠀⠁⠀⠀⡠⠃ ⠀⠱⡀⠠⡀⠀⠀⠀⠀⠀⠐⠤⡒⡒⠒⠒⠒⢀⠁⠁⠀⠀⠀⢀⠔⠁⠘ ⠀⠀⠑⡀⠀⢁⡴⠆⠀⡐⠉⠢⡀⠑⢌⠉⠉⠩⡁⠢⡀⠀⠐⣧⡄⢀⠃ ⠀⠀⠀⠈⠠⡸⠀⠀⡠⡇⡇⠀⠘⢄⡀⠁⠂⠤⣐⢌⡺⠀⠀⠹⢇⠎⠀ ⠀⠀⠀⠀⠠⠁⢀⠔⣡⡄⢇⠀⠀⠀⠩⠂⠄⠀⠀⠀⠨⢃⢄⠀⢋⠀⠀ ⠀⠀⠀⠀⡗⠒⡳⠈⢸⣡⣌⣆⠰⡀⢀⢣⣀⣢⣀⠀⡠⡀⢩⠉⠘⡄⠀ ⠀⠀⠀⠀⡇⢀⢇⠀⣾⣤⢤⣄⡑⢵⡀⢎⣵⡀⢂⠀⢈⠘⢺⠀⠀⠏⠄ ⠀⠀⠀⠀⡇⢸⢸⣆⢳⡙⠪⠿⠂⠀⠙⠚⠻⠿⢾⠀⠌⢀⠞⡄⠀⠰⢸ ⠀⠀⠀⢴⠁⠸⠀⠘⠗⢧⡀⠀⠀⠀⠀⠀⠀⠀⠂⡞⣠⠘⠀⢡⠀⠀⠘ ⠀⠀⠀⡿⠀⠀⠇⠀⠘⣨⢅⠀⠀⠀⠀⠀⠀⠀⢘⣯⠣⢷⠀⢸⡄⠀⠀ ⠀⠀⢀⣷⠀⠀⠈⠄⠀⠁⠲⢵⠀⡀⠀⠀⡀⢴⠏⠁⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠸⡇⠀⠀⠀⠈⠢⠀⠀⢸⠀⠈⠀⠈⠀⢸⠀⠀⠀⡠⠊⠀⠀⠀⠀ ⠀⠀⠀⠐⠄⡀⠀⠀⠀⠈⠲⡃⠀⠀⠀⠀⠀⠀⠐⡠⠊⠀⠀⠀⠀⡠⠊ ⢀⠠⠐⠂⠈⠈⡀⠂⢠⠀⡀⠐⡄⠀⠀⠀⠀⡠⠊⠀⠀⢀⠄⠖⠈⠂⠠ ⠁⠀⠀⠀⠀⠀⠈⠂⠀⠑⠀⠁⠒⢄⣀⡠⠊⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⣀⠠⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⡤⠀⠀⢄⡄⠂⠈⠉⠀⠀⢈⠑⠠⠶⠯⠁⣸⣀⢠⠀⠀⠀⠀⠀ ⠀⠱⡀⠀⠀⠝⠀⠀⢰⠀⠀⠀⠄⠀⠀⢀⢠⢠⠿⠗⡈⠀⠀⠀⠀⠀ ⢂⠠⢱⡀⡈⣴⠀⠀⠀⠀⠀⢀⢸⠀⠀⠃⠂⢢⠀⠀⠁⠀⠀⠀⠀⠀ ⠈⣄⡀⡹⡇⠀⢀⠄⠚⢆⠀⠈⠉⣻⡯⣀⢰⢸⠓⠠⠇⠀⠀⠀⠀⠀ ⠀⠉⠀⡼⡰⠐⣼⢻⣶⣦⠁⠀⠞⢝⡿⢮⡀⠏⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠜⠀⣷⠃⢣⣉⡉⠁⠀⢉⠀⠀⠀⢞⠇⡼⠅⠠⣤⠊⠤⡀⠑⠀ ⠀⠀⠀⠘⣿⢇⠘⣧⣠⡀⢈⠀⠀⢤⠒⢉⠟⡰⠀⠀⢃⠀⠈⠀⢀⠇ ⠀⠀⡧⡘⢹⠠⠀⠀⠀⡰⠟⣑⠂⢎⣧⡼⢎⣄⠤⡆⠀⠑⠒⠒⠀⠀ ⠀⠀⡇⡿⣴⠓⡝⠉⠁⠰⡀⠁⣺⢏⠁⠆⠰⡈⠪⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠀⣸⠜⠀⠀⡀⠀⢰⠔⠀⠻⠝⠀⠀⠳⡀⠀⠳⡄⠀⠀⠀⠀ ⠀⠀⠈⣽⡇⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣸⠧⡀⠀⠀⠀ ⠀⠀⡠⠉⠑⠌⡢⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠢⣀⠀ ⢀⠔⠁⠀⠀⠀⡨⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢄⡀⠀⠀⠁⠈
⣀⠴⠊⠉⠉⠁⠀⠀⠀⠀⢀⣀⣠⣭⣷⡶⡖⠛⣍⠉⢱⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠿⣿⡋⠉⠑⠃⠽⠫⢤⠖⢳⡀⠀⠀⠀ ⣤⡰⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢄⡀⠰⡷⢂⠠⣱⠀⠀⠀ ⡸⠀⠀⢸⠀⠀⠀⠀⠀⠒⡦⢤⣀⠀⣴⡦⣀⡈⠓⢄⡹⠀⠙⡅⠀⠀ ⡇⠀⠀⢸⠀⠀⠀⠀⠀⢸⠴⢋⣠⣿⣿⣿⣿⣿⠟⠀⠙⡄⠀⢱⠀⠀ ⠁⠀⠀⢸⠳⡄⠀⠱⡄⢿⣿⣿⠛⢿⣇⠈⣿⣿⣿⠂⠀⡇⠀⢸⠀⠀ ⠀⢠⠀⠈⡇⠈⢢⡀⠹⡜⣿⠇⠀⠈⣻⠿⠟⠉⢇⠀⠀⠇⡀⢸⠀⠀ ⢸⠸⡇⡀⣇⠀⠀⠙⢦⡹⡇⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⡇⡞⠀⠀ ⠈⡆⣧⡇⢸⠀⠀⠀⣀⠑⢿⡄⠀⠀⠀⠔⠀⠐⢀⡇⢸⠀⣗⣇⠀⠀ ⠀⣇⡿⣸⠘⡄⠀⠸⠿⠗⠀⠁⠀⠀⠀⠀⠀⠀⣼⠇⣸⠀⡟⢿⣆⠀ ⣰⢿⢳⣿⡆⢧⠀⠀⣰⢦⣀⣀⠀⠀⠀⠀⠀⣸⢿⠀⡟⠀⡇⠀⠹⠆ ⠀⢸⡀⢻⣷⣸⡀⠘⠃⠀⠀⠉⠀⠀⠀⢀⣴⢻⡸⢀⡇⢠⠇⠀⠀⠀ ⢤⠀⠳⣄⡻⣬⣧⡀⠀⠀⠀⠀⠀⢀⣴⠟⠁⣤⣿⣽⢠⠏⠀⠀⠀⠀ ⣠⡳⣄⡀⢽⣶⣭⡉⠛⢳⢶⠶⠾⡯⢠⠀⡔⣇⡋⠾⠁⠀⠀⠀⠀⠀ ⣧⠟⠮⢿⣕⣚⣛⠬⢎⡙⠹⠭⠭⠋⠙⠉⠋⣃⠜⠂⢄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⢀⠀⠀⠄⢀⠀⢠⡾⠋⣀⠰⣟⡷⠀⠈⠉⠛⠻⢿⣿⡻⢷⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⢀⠂⢈⠀⠈⡀⠄⠂⣰⡟⠁⠀⠉⠙⣯⡟⠀⠠⠁⠄⡀⠀⠈⠛⠿⣯⡻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⡈⠀⠠⠀⠄⠁⠀⢀⣴⠏⠀⠀⠀⠀⠀⢸⡧⣄⠀⠁⠄⠰⠀⠠⠀⠄⠈⠙⢿⡝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠀⠐⡀⢀⠁⠠⠁⠀⠂⢴⡾⠁⠀⠀⠀⠀⠀⢀⣿⠀⣿⡀⠀⠐⠀⢻⡄⠀⠂⠐⠀⠀⠙⢿⣧⣤⣔⣦⣀⣀⢀⠀⠀⠀ ⠀⠀⡼⠃⠀⠀⠄⠀⡀⠄⡈⠄⣀⣤⠾⠛⠛⢷⣄⣀⣀⣀⣰⡟⠁⠀⣾⡅⠀⢀⠀⠀⢿⡀⠀⠈⢀⠁⣄⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠛ ⣠⣼⠃⠀⠀⡁⠀⠐⠀⠀⣠⡼⠏⠁⠠⠄⡀⠀⠈⠉⠉⣽⡏⠀⠀⠀⣿⠆⠀⠠⠀⠀⠸⣧⠀⢠⡀⠀⠠⠑⡀⠈⢈⠠⠐⠀⠄⠠⢀⠀ ⣿⠃⠀⠀⢂⠀⠌⠀⠂⣴⠏⠀⠀⠄⠃⠀⠐⠰⢀⠀⣼⡟⠀⠠⠁⢸⣿⡇⠀⠀⠁⠀⠀⢿⣆⠀⢿⡀⠀⢁⠻⣄⠀⠀⠈⠀⠄⠀⣀⣤ ⡏⠀⢀⠂⠀⠄⠂⢀⣾⠋⠀⡀⢁⠂⠈⠀⠀⣴⠂⣲⣿⠃⠀⠄⠀⣾⣿⠁⠐⠀⡁⠀⠀⠘⣿⡄⠈⢷⡄⠀⠀⠙⢷⣤⡤⠶⠲⡛⠉⠀ ⢧⡀⠀⠀⠁⠄⢂⣼⠃⠀⠄⡀⠠⠈⠀⢁⣼⠃⣰⣟⡯⠀⠀⠀⣰⡟⣿⠀⢠⣀⠀⠀⠀⠁⣿⢿⣄⠀⠻⣦⠀⠀⠊⣷⠀⠀⠀⢱⢀⣶ ⠀⡹⠒⠳⡄⢀⣾⠃⠀⠌⠀⠄⠐⢀⢠⣾⠋⣠⣟⣾⣥⣄⠀⢠⡿⠁⣿⡄⠀⠀⠉⠐⠀⠄⣿⡆⢻⣄⠀⠙⢷⡀⠀⢹⡆⠀⠀⣸⣾⣟ ⣀⠀⠀⢀⡼⣾⠇⠀⠐⠈⡀⠐⠈⢀⣾⡇⣰⡟⣿⡃⣀⣉⣿⡟⠁⢀⣿⠈⠑⠢⠄⠀⠀⠀⣿⣷⠀⠙⢷⡄⠈⠻⣆⠈⣿⣀⣠⠟⢡⠾ ⠈⠣⣄⣾⣻⠏⠀⠀⠌⠀⠄⡁⠂⣾⠛⠋⠉⠀⠉⠻⠾⢶⠾⠋⠀⠀⠉⠻⢶⣄⣀⠁⣀⣀⣿⣿⠀⠀⢸⡟⢳⣄⡉⢿⣼⣿⣏⠀⠀⠀ ⠀⣠⢞⣹⡏⠀⠄⠁⡀⠌⠀⠄⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⢿⣽⡟⣿⡇⠀⣿⠃⠸⣯⠁⢻⣭⣿⣯⣥⣀⠀ ⠴⡃⢎⣿⠁⠄⡈⠄⠀⠐⠀⣰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠾⠿⣿⡁⠀⣿⠀⠀⣿⠀⢸⣇⢿⣿⣿⠏⠉ ⠡⡜⢻⡟⠀⡐⠀⡀⠌⢀⣶⢿⠁⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣼⣿⠀⠀⢻⠆⢸⡏⣾⣾⠃⠀⠀ ⡳⣌⢻⡇⠐⡀⠂⢀⠂⢸⡇⣿⣿⣶⣤⣙⣷⣟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⢸⠇⣸⣿⣿⣿⠀⠀⠀ ⠲⣌⢻⣧⠀⡄⢁⠠⠀⢸⡇⡧⠈⠉⠛⠿⠿⣿⣿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣠⣿⣟⡇⠘⠃⠐⢻⣿⣿⠀⠀⠀ ⡓⣌⢣⢿⡆⠂⡄⠠⠀⢸⣯⡗⠀⠀⠂⠠⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣒⣛⣛⡋⢉⣴⢟⡸⣿⣆⠠⠀⠠⢸⣟⣷⠀⠀⠀ ⡱⣘⠦⡚⣿⣳⡴⠀⡁⠸⣿⣷⣀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠻⠟⠻⠿⣦⣿⣯⠆⣽⠇⣿⠀⠀⠀⢨⡿⣿⠀⠀⠀ ⡱⢎⡱⢣⠜⡻⣿⣄⡀⠁⢻⣇⡛⣷⣄⠀⠀⠀⠘⢿⣟⠶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠄⣾⣿⣿⣿⡏⣴⣨⣿⠀⠀⢸⣆⣿⣿⠀⠀⠀ ⡱⢎⠵⣋⠼⡱⢌⣝⣿⣦⠈⣿⠟⠋⠉⢛⣶⣄⣀⠀⠈⣩⣽⣯⣭⣄⡀⠀⣀⣀⣀⣤⣾⣿⣿⣿⣿⢃⣾⠗⡏⠀⢀⣼⣿⣿⣿⠀⠀⠀ ⡱⢎⠳⣌⠧⣓⣾⡿⣏⣿⣶⣿⣆⠀⠀⢾⡁⣬⠿⣿⡿⣿⡽⣾⣹⡟⣿⣿⡟⣿⣻⣟⣿⣿⣿⣿⣭⣾⡟⣜⣤⣴⣿⣿⣷⠿⠁⠀⠀⠀ ⡱⢋⡕⣊⣶⣿⢯⡿⣽⣞⣳⢯⣿⡆⠀⢸⡿⠁⣰⣿⣟⣳⣟⣳⢯⡽⣯⣿⣽⣳⣟⣾⣳⢿⣿⣿⡿⣏⣼⣾⣯⡽⠏⠉⠀⠀⠀⠀⠀⠀ ⡱⢩⢖⣵⡿⣽⢯⣟⡷⣯⣟⢿⣞⣿⣤⣿⢻⣷⣿⣿⣯⢷⣯⣟⣯⣟⡷⣻⣷⣻⣞⡷⣯⢿⣽⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣷⣾⢿⡽⣯⣟⡾⣽⣷⣻⢿⣾⡽⣿⣟⣿⣿⢷⣿⣯⣟⡾⣞⡷⣯⣟⣿⣻⣷⣯⢿⣽⣻⢾⣽⣿⣛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠴⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣄⣀⣀⡀⠀⠀⣀⣠⡤⠖⠒⠉⣁⠔⠋⣁⡰⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠴⢶⣂⣀⣀⣉⣀⡴⠛⠒⠒⠛⢶⠛⠯⠥⢵⡶⠟⠉⠁⠀⠀⢠⠞⠁⠀⢠⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠉⠁⠀⢀⣼⠏⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢀⠀⠀⠀⠀⡰⢫⠀⠀⠀⣸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⡎⠀⠀⠀⠸⠟⢏⢀⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡴⠟⠁⠀⠀⢠⠆⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢠⠁⠀⠀⠀⠆⠀⠀⠉⢀⠇⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠛⠀⠀⠀⠀⣀⡎⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡊⠀⢰⠀⠀⠘⢄⡀⢱⠎⠀⠀⠀⠀⠀⠀ ⣠⣔⣋⣤⡄⢒⣒⣘⢫⣿⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⣿⣷⡀⠀⠀⠀⠁⠀⢸⡆⠀⠀⠀⠃⠈⢢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠉⠉⠉⣿⡟⠀⠀⠀⠀⢸⠀⠀⠀⠀⠇⠀⢘⡏⠹⣧⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢸⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⣾⡆⠀⠀⠀⡄⠀⣾⡿⠀⢙⣧⣠⢤⣤⣀⡞⢸⡆⠀⠀⠈⠀⢸⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⣻⠁⢷⡄⠀⠀⢇⠀⣿⠀⠈⠉⠛⣆⠀⠀⠀⠏⠹⣇⠀⢰⡗⣄⠘⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢰⣠⣿⠖⠚⢧⠀⠀⢸⡀⢿⠀⢀⣴⠿⠿⣿⣶⣶⠧⣄⣿⠀⢸⡇⡼⠀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⢸⢹⣿⣧⣶⣞⣣⡀⠀⢧⢹⡀⠈⠁⠀⢺⣿⣿⣿⢂⡞⢹⠀⢸⣧⠃⠀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⣄⠘⣿⣿⡋⠩⣿⣿⣿⠆⠸⣎⢷⢄⠀⠀⠈⠳⠿⠋⠈⠀⢸⠀⣼⣇⠀⠀⢹⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠻⡀⢿⣿⣟⠀⠙⠽⠿⠀⠈⠙⠛⠒⠀⠀⠈⠉⠁⠀⠀⠀⣸⠀⣿⢹⡀⡄⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⢣⠘⣿⣏⢆⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢸⡇⠈⡿⡀⠘⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠨⣧⠈⡌⠎⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠘⢸⠃⢠⢿⣧⢀⡇⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠻⢆⢳⣦⠘⣦⣀⠀⠀⠀⠀⠀⠈⠙⠁⠀⣠⢾⣹⠂⠀⣼⠀⠘⢸⢹⡀⠹⡸⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⢸⠘⡄⠹⣆⠱⡈⠑⠢⢤⣀⡀⠀⢀⣴⣿⠿⠋⣇⠸⠀⡇⢀⣨⣦⡆⠳⠄⠑⠘⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⣇⠀⢹⡄⢳⡆⠀⠀⢨⣿⠛⠛⠉⠀⠀⠀⢿⣴⢿⠧⠝⠋⢋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⠀⠀⡇⠘⡿⠀⣀⡼⠛⠀⠀⠀⠀⠀⠀⠈⠀⠜⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠹⣀⡵⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣖⠒⠋⠉⠉⠉⢉⣩⡷⣫⠟⠉⠀⣴⠋⠀⠀⠘⣯⡒⠢⢄⡤⣀⡀⠀⠀⠀⠀⠀⠠⣤⠤⠤⠟⠛⠉⠁⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⢀⣴⣿⣫⠶⠃⠀⠀⣰⠃⠀⠀⠀⠀⢸⡙⣄⠀⠙⢦⡙⠢⣀⠀⠀⠀⠀⠀⠦⡀⠀⠀⠀⠀⣰⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣴⣿⡿⠋⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⡇⠈⢦⠀⠀⢿⢦⡈⠳⣄⠀⠀⠀⠀⠙⡄⠀⠀⣴⡇⠘⡷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⢁⠀⢰⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⢧⠙⢦⡈⠳⡀⠀⠀⠀⠀⠀⣴⠋⠀⠀⡇⠘⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠃⢰⠏⢠⡏⡄⠀⢠⠋⣧⡀⠀⠀⠀⠀⣦⠀⠀⠀⠈⢧⡀⠈⢣⡀⠙⣄⠙⢆⠀⠀⢀⡼⠋⠀⠀⠀⣇⠀⠈⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢛⡥⠊⢠⠏⢀⣾⠁⡇⠀⢸⠀⣇⣇⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⢳⡀⠈⢟⣄⠈⢣⡈⢣⡠⠎⠀⠀⠀⠀⠀⠸⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣛⡥⢶⠋⠀⢀⠏⢀⡞⠈⡇⢃⠀⢸⠀⢸⡼⡄⠀⠀⢠⣿⠀⢇⠀⠀⠀⠀⢧⠀⠸⡌⠄⠀⢳⡀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⡾⠀⣸⡀⠀⢱⡈⡇⠸⠀⣸⠹⣽⣄⢀⣾⡟⢦⣸⠀⣤⡤⠖⠘⡆⠀⢳⠀⠀⢠⢧⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⣰⢠⠃⢠⣿⠙⠲⣄⣳⣿⣀⢀⡇⠀⠈⢻⣿⡾⠤⠴⠿⠛⡿⣽⡠⡀⣻⠀⠈⡆⠀⠘⣏⣇⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡟⢾⠀⢸⢻⡄⢀⣀⡉⠉⠻⡿⠀⣀⣴⣿⠟⠁⢀⣀⣀⡄⢀⠁⠳⡕⣼⡄⠀⢳⠀⠀⢹⠘⡆⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⣿⣷⠀⠀⠘⣦⣿⣿⣿⣿⣗⠰⠡⢔⡵⠟⠁⣶⣾⣿⣿⣿⣿⣿⣷⣤⣼⡇⣇⠀⢸⠀⠀⢸⡄⢸⡀⢧⠀⠀⠀⠀⠀⠀⠀⠀⢨⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⢻⣿⠺⣿⣿⣿⠓⠚⠉⠀⠀⠐⠛⢿⣿⣿⡟⡿⡇⢸⡟⠁⣗⣿⠀⢸⠀⠀⢈⡇⠀⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⣆⠀⠀⢿⠃⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠘⠻⠋⠈⣠⡁⠀⠀⢸⠁⣿⠀⠘⠀⠀⣿⣷⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣷⢹⡄⠈⣿⠀⠀⠀⠲⣴⠄⠀⠀⠀⠀⠀⠰⣄⠑⢄⠠⣀⠢⡀⡞⣰⡇⠀⠀⠀⢀⣿⣸⡆⡞⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢻⡳⣷⡀⠘⣄⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠈⠳⢤⠀⠀⠀⢨⣷⢿⠇⠀⠀⠀⢸⡟⠹⣿⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣥⠴⣾⢣⠀⠳⡀⠹⣆⠀⠀⠀⣤⠶⠿⠿⢦⡀⠀⠀⠀⠀⠀⠀⣀⡾⠃⡞⠀⣰⠂⠀⣿⠃⠘⠟⢧⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠹⡦⣷⡀⠈⢦⣌⣳⣄⡀⠻⠅⠀⠀⠠⠇⠀⠀⠀⠀⣠⣶⡟⠁⡼⠁⡴⠁⠀⡼⣿⣄⣀⠀⠀⠙⢦⣀⣀⠀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢁⡷⣄⠘⣆⠀⠀⠉⠒⠦⢄⡀⠀⠀⣀⣤⠖⠋⣡⡾⠁⡼⢡⠎⠀⠀⡼⣱⣯⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⣰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣣⠋⠻⣌⠳⣿⢣⡀⠀⢳⠀⠀⠈⠉⠉⢸⡄⢀⡼⡿⢁⠞⡁⠀⠀⠀⣼⣟⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⡴⠋⠳⣤⡉⠳⡄⠈⣇⠀⠀⠀⣀⣾⡷⢋⠞⣠⡿⡾⠁⢀⡴⣺⠕⠋⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠟⠁⠀⢠⠞⠀⠀⠀⠈⠻⣦⣹⣀⣘⣠⠴⢚⡿⣫⠔⠡⡾⠉⣴⡧⣶⠝⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⡮⠥⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⡤⠔⠒⠒⣒⣶⠖⠋⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠹⣧⠈⢉⣴⢞⣡⡞⠁⣠⣾⣴⡾⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠠⠀⠀⠁⠤⠐⠒⠒⠋⠁⠀⠀⠀⠀⢀⡾⠁⠀⠀⢀⠀⠀⠀⢀⣠⢷⣛⣩⠖⢋⣠⣴⡾⠟⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⢀⣈⡧⢖⣪⠥⠒⣻⡇⢀⡴⣪⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠤⠖⢒⣯⠭⠒⠋⠁⠀⠀⢀⣿⢖⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀
⠀⠀⠀⣀⣤⡶⠖⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠲⣶⣤⣤⣤⣤⣶⣶⡶⠟⠛⠛⠉⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣾⣿⣿⣿⣿⠿⠛⠉⠀⠀⢸⡆⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡿⠿⠟⢛⣹⣿⣣⠴⣶⣾⡇⠀⠀⠀⣀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠶⢼⣿⣿⣿⠋⠁⠀⠀⠐⠛⠋⠁⢀⣼⠟⠋⢧⣠⢴⣿⠋⢹⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠷⣦⣤⣀⠀⠀⠀⠈⠁⠀⠀⠀⣠⠞⣁⠀⣿⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⣤⡄⢀⣴⠟⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣄⡀⠀⠀⠀⣼⢿⡿⠋⠀⡏⠰⣦⢹⣧⠀⠀⠀⠀⠀ ⣿⢷⡾⠉⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⡀⠀⠻⢧⣄⣰⡇⠀⠙⣷⣿⡄⠀⠀⠀⠀ ⢀⡿⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢷⣶⣄⣀⠀⠀⠀⠀⠀⠀⣴⣿⣶⠄⠀⠀⠀⠈⠻⢷⣤⡀⠀⢸⡇⠀⠀⠘⢿⡄⠀⠀⠀⠀ ⢸⠇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠈⣹⣿⡷⣦⣤⣀⣼⣿⣿⡿⣠⣿⣿⡆⢀⣀⣀⠉⠻⣦⣼⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣠⣾⠟⠋⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠻⣷⠀⠀⠀⠀⢻⡇⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⢨⣧⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣿⠛⠉⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠉⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⣷⠀⠀⠀ ⠗⠀⠀⠀⠀⠀⠀⠀⣿⣷⣄⠀⠀⠀⠀⠸⣷⡀⠀⢰⣶⣿⣶⣿⣿⣿⣿⡿⣿⣿⣿⡇⠈⠙⢿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠻⣧⡀⠀⠀⠀⠹⣷⡀⠘⠿⣿⣿⣿⣿⡿⠋⠀⢸⣿⣿⣷⣀⠀⠀⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⣿⠀⠀⠀⠀⢹⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠙⢷⣄⠀⠀⠀⠹⣷⡀⠀⣿⣿⣿⡟⠀⠀⠀⠀⠹⣿⣿⣿⣿⣶⣼⣿⠻⣿⣿⠏⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⢠⡆⠀⠀⠀⢸⡇⠀⠀⠀⠙⣷⣄⠀⠀⢹⣷⡄⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⣿⣿⣿⠿⠛⠁⠀⠀⢻⡇⠀⠀⠀⠀⢸⡇⠀⣀⠀⠀⣼⠃⠀⠀ ⠀⣄⠀⢸⣿⠀⠀⠀⢸⣷⠀⠀⠀⠀⠈⠻⣷⡀⠀⢻⣷⡘⣿⠉⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⠠⡦⠀⠀⠈⠀⢠⣿⠀⢠⡿⠀⠀⠀ ⠀⣿⡀⠀⣿⠀⢀⡀⠘⣿⠀⠀⠀⠀⠀⠀⠉⢿⣦⡀⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⡇⠀⠀⠀⠀⢸⣿⠀⣿⠃⠀⠀⠀ ⠀⢸⡇⠀⣿⣇⢹⡇⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⢀⣤⠀⢸⣿⢸⡏⠀⠀⠀⠀ ⠀⠸⣿⠀⢿⣿⠸⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣝⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠐⠀⠀⠒⠀⠀⣿⠁⠀⢸⣿⠀⠈⣿⢸⣧⠀⠀⠀⠀ ⠀⠀⢿⡄⢸⣿⡆⢿⠀⠈⣿⠀⠀⠀⠀⠀⠀⣴⣶⣄⡀⠈⠻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣸⡏⠀⠀⣿⣆⢿⣆⠀⠀⠀ ⠀⠀⢸⡇⢸⠟⣇⢸⡇⠀⢿⡇⠀⠀⠀⠀⢸⣿⣯⣿⣿⣶⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⣿⡇⠀⠀⣿⠹⣮⣿⣦⠀⠀ ⠀⠀⣸⣷⣿⡄⢿⡜⣧⠀⢸⣧⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡏⠀⠀⣿⡇⠀⠀⣿⠀⠙⢿⣿⣆⠀ ⠀⢰⣿⣿⠻⣿⡼⣧⣿⡄⠈⣿⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢹⠇⠀⢰⣿⠀⠀⠀⣿⠀⠀⠈⠻⣿⣧ ⢀⣾⡟⣿⠀⢻⣷⣽⣼⡇⠀⢸⣇⠀⠀⠀⠀⢠⣿⡿⣿⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⣿⠀⠀⣾⡟⠀⠀⠀⣿⠀⠀⠀⠀⠙⠛ ⠋⠋⠀⣿⡀⠀⢻⣿⣿⣿⡀⠈⣿⠀⠀⠀⣠⣿⠟⠀⠈⠉⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠃⣿⠀⠀⣿⡇⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⡇⠀⠀⢻⣿⣿⣷⡀⣿⡇⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⡾⢠⡏⠀⢠⣿⡇⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠈⢿⡄⠀⠀⢻⣿⡏⠻⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⢸⡇⣼⣧⡶⢸⣿⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀ ⣧⡄⠀⠀⠈⠻⣦⣄⠀⠹⣿⣦⡘⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⣼⢠⣿⣿⢁⣿⠃⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣦⡀⠀⠀⠈⠛⢷⣦⣌⠛⠿⣷⣿⣷⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡿⠛⠁⠀⠀⠀⠀⡏⠸⣿⣷⠿⡏⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠙⢿⣦⡀⠀⠀⣦⣭⣿⣿⣶⣤⡀⠉⠉⠙⠛⠻⣿⢿⣶⣶⣶⣶⣿⣿⣟⣯⣤⣤⣤⣤⢤⡤⠴⣧⠀⠿⠋⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⢻⣧⡀⠙⢿⣦⣄⡀⠉⠻⢿⣿⣿⢿⣷⣦⠀⠀⢀⣽⣏⣙⣏⣉⣩⣇⣀⣸⣅⣀⣸⣄⣀⣠⣧⣀⣿⠻⢦⣀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢸⣿⣿⣦⣄⡙⢿⣟⠛⠷⠶⠮⣿⣿⡖⢀⣤⠞⠋⠀⣿⣀⣿⣀⣸⣇⣀⣽⣀⣀⣸⣁⣀⣸⣃⣀⣻⡀⠀⣹⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⣾⠏⠀⠉⠙⠛⠛⣿⠿⠶⣤⣤⣀⣴⠞⠉⠛⠲⢤⣄⡀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⡢⢄⣀⠀⠀⠀⠠⡠⠄⢀⣀⡀⠈⢦⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⠈⠑⠌⠐⠒⠋⠈⠁⠀⠀⠀⠀⠀⠀⠈⠢⢀⠀⠀⠀⠀⢀⡠⠀⠀ ⠀⠀⠀⠀⠇⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢁⠔⠁⠀⠀ ⠀⠀⠀⠀⠠⠀⡠⠂⡠⠁⡐⠀⠀⠀⠀⠀⠀⠐⡈⠢⠀⠀⠢⡈⠀⠀⠀⢸⠀ ⠀⠀⠀⠔⠁⡐⠀⡐⠁⠰⢠⢰⠀⠀⠀⠀⠘⠀⠰⠀⢡⠈⡀⠈⢆⠀⠀⠆⠀ ⠀⠀⠀⠀⡠⠡⠐⠀⠠⠁⠌⡿⢀⠘⠀⠀⠀⠇⡇⠂⠀⠀⠰⢠⠈⠀⠼⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⢸⠀⡞⢺⢳⢼⡄⠀⢠⠀⢀⣧⢸⢰⠀⠀⠃⡖⡈⠐⠵⠀ ⠠⡀⢔⠡⠘⣰⠀⢸⣴⡤⢼⡈⡌⠈⢄⢸⠐⢜⢿⠛⡒⠄⠀⡀⡷⠰⡀⠘⡄ ⠀⠁⠀⠀⢀⢣⢰⠹⡻⣉⣤⠙⠐⠆⠀⠢⣮⣾⠓⣶⣆⠀⠀⠁⡇⠀⠈⣁⠜ ⠀⠀⠠⠟⠥⡼⠀⣦⠇⠁⠀⠀⠀⠀⠀⠀⠀⢳⠥⠮⡞⠀⠄⡐⠀⡀⠞⠁⠀ ⠀⠀⠀⢰⡞⠀⠏⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⡄⡘⡔⡱⠀⠑⣆⠀⠀ ⠀⠀⠀⠀⠈⠁⠸⢤⢘⢄⠀⠀⠀⠀⠀⠀⠀⠔⣑⢌⢚⣜⢼⡏⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢁⠇⠑⠀⠀⠀⢀⠠⡔⠪⠣⠂⠀⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠘⠀⠀⠀⠀⠸⡹⠗⠁⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡊⠉⠉⠉⣩⡽⢾⠏⠁⢠⠎⠀⠀⢻⣕⠒⢤⠤⣀⠀⠀⠀⠀⠠⠀⠚⠋⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⣀⣾⠿⠚⠁⠀⢀⠏⠀⠀⠀⠀⠌⢢⠀⠑⣬⡑⢄⠀⠀⠀⠘⢆⠀⠀⣠⠏⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⣀⠀⠀⣼⠀⠀⠀⠀⠀⠁⠀⠳⡀⠘⡝⢢⠑⢄⠀⠀⠈⠀⣠⠟⠀⢇⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢟⢁⠞⢠⢣⠀⢀⢻⣤⠀⠀⠀⢰⠀⠀⠀⠡⡀⠘⣄⠑⢄⠣⡀⠀⡰⠋⠀⠀⢸⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⢔⣫⠖⠁⡞⢠⠿⢸⠀⢸⠀⣿⡄⠀⠀⣸⠀⡄⠀⠀⠹⡀⠸⢦⠈⢦⠑⡌⠀⠀⠀⠀⠘⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⢁⠇⠀⡜⠀⡇⠀⢆⢀⠈⠀⡟⣷⡀⢠⡿⢄⠃⢠⣀⠤⢧⠀⢧⠀⠀⣇⠙⡄⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⢠⣆⠃⢸⡉⠲⢌⣻⣄⣰⠁⠈⢻⣿⠧⠴⠛⠻⢿⣠⢸⡄⠘⡄⠀⢻⣆⢱⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣸⠘⠀⢘⣧⣴⣦⣤⢈⠇⣠⣾⡿⣁⣤⣶⣴⣤⣄⠙⣼⡇⠀⢇⠀⢸⠘⡌⡆⠀⠀⠀⠀⠀⠀⠸⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠸⣿⠹⣿⣿⡮⠼⠋⠁⠀⠿⣿⣿⣿⣿⢹⡿⢩⣿⠀⢸⠀⢸⡆⢡⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡄⠀⢹⡃⠉⠉⠁⠀⠀⠀⠀⠀⠛⠋⠉⠍⠀⠀⡄⣸⠀⠈⠀⣾⡇⢘⡄⡀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢻⣾⡄⢹⡀⠀⠀⠪⡂⠀⠀⠀⠀⠳⣈⠂⠢⠐⢠⣧⡿⠀⠀⠀⡿⣼⣜⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣁⣬⡏⠳⡀⠳⡀⠀⠀⣀⣠⣤⣀⠀⠀⠀⠁⠀⠀⡼⢫⠃⢠⠀⢰⡇⠸⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠘⣾⢆⠈⢦⣙⣦⡀⠻⠀⠀⠨⠀⠀⠀⢀⣤⡾⢁⠎⡠⠃⢀⣿⣅⣀⡀⠑⣄⡀⠀⠀⠀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣝⣼⡧⡘⣦⠀⠈⡉⠒⠤⣀⠠⡴⠚⢡⡾⢁⠎⠘⠀⢀⣮⣿⠄⠀⠀⠉⠀⠀⠀⢠⠎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⡽⢮⡛⠷⡀⠸⡀⠀⠀⢀⣧⠔⡟⣡⣧⠂⢀⣠⡿⠟⠁⠀⠀⠀⠀⢀⣤⠖⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⣠⠊⠀⠀⠙⢧⣱⣀⣇⠠⢴⢟⡥⢊⡞⢩⣧⡴⠟⠋⠀⠀⠀⠀⠀⠀⣠⡞⠁⡀⠀⠀⠀⠀⠀⠀ ⠠⠤⠒⢒⣒⠶⠒⠉⠀⠀⡴⠁⠀⠀⠀⠀⠈⢷⣈⠭⣚⠵⢋⣠⣾⠾⠛⠉⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀ ⠀⠉⠁⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⢆⣀⢤⣒⢿⡖⠊⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⡀⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣞⠤⢄⣶⠾⠟⠊⠉⠀⣼⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⣄⠖⡚ ⠀⠀⠀⠀⠀⠀⠀⠠⣶⠤⢀⡩⠛⠛⠻⡛⠉⠷⠒⠉⠁⡠⠊⠀⡞⠀ ⠀⠀⠀⠀⢀⠤⠒⠉⠀⢀⡞⠁⠀⠀⡰⠀⠀⢠⠂⠀⠰⢔⡀⠰⠀⠀ ⠀⠀⣠⠞⠁⠀⡐⠀⠀⡜⠀⠀⠀⠀⡇⠀⠀⡌⠀⠀⢆⠀⣠⠁⠀⠀ ⠠⠊⣥⣐⣒⣸⡁⠐⠀⠃⠀⢀⠀⣰⣇⠀⠀⠀⢸⠀⠀⢃⢡⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢠⡄⠀⢈⠀⣷⠘⣆⣀⣄⡘⡇⠀⠘⠸⡇⠀⠀ ⠀⠀⠀⠀⠀⣯⠀⡀⣇⢱⡀⠘⠀⡇⠈⣩⣄⣀⡈⢻⠀⡗⡄⣿⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⣏⣷⣴⣷⡀⢃⣇⠉⠁⡾⣿⢯⢻⠀⡷⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⣧⢧⢨⣷⠜⠿⠏⠈⠾⠄⠀⠈⠉⠀⢸⢸⢳⠀⣽⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⢎⢛⣃⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⢸⢀⣧⢹⠇⠀ ⠀⠀⠀⠀⣸⠃⠀⢸⠞⣦⢣⣀⠀⠀⠀⠐⢀⣴⡿⡀⡇⢘⠟⡈⡸⡄ ⠀⠀⠀⠀⠁⠀⠀⠈⢸⠈⡆⢦⠉⢐⡦⠴⠛⠁⢠⣥⠅⠞⣣⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⢰⠸⡸⠔⠁⠀⠀⠀⠀⠘⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡁⡤⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠤⠤⣤⡤⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⠤⠤⠤⣄⣀⡠⠔⠒⠉⢁⣠⠀⠀⠀⠲⢶⣿⣷⣀⣤⡾⢿⣗⣲⠖⠂⠉⠉⢉⣉⡷⠶⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠉⠒⠒⠤⢄⡀⠀⠉⠀⠀⠀⠘⠛⠋⣠⠔⢋⡉⠉⠛⠻⣿⣿⡚⠉⠛⠯⣀⠠⢤⠚⠁⠀⠀⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣈⣇⠀⠀⠀⠀⣀⠔⠋⢠⠎⠁⠀⠀⡠⠂⠀⡄⠙⣄⠈⠁⠺⢕⠢⣷⡀⠀⠀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⢨⠟⢍⡉⠉⠉⠀⠀⢀⡎⠀⠀⣠⡞⠀⠀⠀⠈⣆⠈⠢⡀⠀⠀⠱⣄⠉⠢⢾⣁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠉⠀⠀⢨⠃⠂⠀⠀⡼⠀⠀⡰⢁⡇⠀⠀⠀⠀⢹⢳⢤⡙⣄⠀⠀⠘⣿⡋⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢠⠏⠀⠀⢀⣴⣧⡀⣼⡅⢸⡀⠀⠀⠀⠀⡌⢸⠀⢻⠙⠳⠀⠀⢻⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⣤⣾⢤⡀⠀⣿⣿⡿⣿⠟⢿⢿⡇⠀⠀⢠⣾⣿⣧⣦⣤⣇⠀⠀⠢⣘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡷⣿⠻⡄⠑⡄⢻⣿⠁⠈⠀⢸⠀⢿⣯⡠⠋⠈⡿⠉⢹⣿⣿⠀⠀⠀⢸⣿⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⡇⠈⠈⠀⠀⠈⣾⣏⠣⠤⠤⠞⠀⠐⠋⠀⠀⢰⡅⠀⡼⣸⠟⣀⠤⠒⠉⢉⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⡇⠀⠀⠀⠀⠀⠘⣿⡓⠀⠀⠀⠀⣀⡠⣀⠀⠀⠉⠉⢀⡿⠋⠁⠀⠀⠍⣹⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⢸⡿⣦⣀⣀⣺⣄⣀⡸⠂⠀⠀⣰⠿⠃⠀⠀⠀⢀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠸⠆⠀⢸⠀⠈⢳⣶⠚⠉⡟⠉⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠧⠤⣾⠹⡦⠼⣇⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠖⠉⠀⣠⠇⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠃⠀⠙⠒⠉⠀⠀⢤⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⠁⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⡀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠒⢤⠀⠀⠀ ⢱⡀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣃⠀⠀ ⠀⠑⢄⠀⠈⠲⢤⣀⣀⡠⠤⠒⠉⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢛⡿⠀⠀ ⠀⠀⠀⠑⠦⢄⡀⠀⠀⠀⢀⣀⠤⠊⠁⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠴⠶⠧⠤⠤⠤⠔⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠄⣀⠀⠀⠀⢀⡠⢴⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠺⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠤⠤⠤⠤⠤⢤⡤⠴⠒⠚⠉⠁⡠⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⡀⠀⡜⠀⣸⡀⠀⠀⠀⠀⠀ ⢀⣴⣶⠶⠶⠒⠒⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⡗⠋⣠⠇⠀⠀⠀⠀⠀ ⢸⡏⠈⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⢀⠔⠊⠉⠉⠒⠤⡀⠙⢆⠈⣹⠂⠀⠀⠀⠀ ⠀⢧⠀⠀⠀⡴⠋⠁⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠘⢆⠈⢧⣈⠇⠀⠀⠀⠀ ⠀⠸⣇⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢀⢀⡴⠅⠀⡄⠀⠀⠀⠀⠀⠀⠈⢣⠈⣇⠀⠀⠀⠀⠀ ⠀⠀⠹⡆⢀⠏⠀⠀⠀⠀⢠⠋⠀⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢰⠀⠀⠀⢀⠀⠀⠀⠘⡆⠸⣄⠀⠀⠀⠀ ⠀⠀⠀⠙⣾⢀⠀⠀⠀⢀⠇⠊⠀⡇⠀⠀⠀⠀⢺⠀⠀⣠⠄⠘⡆⠀⠀⠈⠑⠂⡄⠀⠹⡄⠈⣙⡶⠆⠀ ⠀⠀⠀⠀⠈⢹⠛⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠘⡄⢉⡇⠀⠀⡗⢀⣄⣰⣞⣛⢿⣵⠒⠉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⠀⠀⠀⢀⠀⠀⢀⠇⠀⠀⠀⡦⣤⣿⣿⣿⣄⢀⠷⠋⠀⠀⣿⣍⣷⣿⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⣀⡴⠋⠀⠀⠀⠀⢸⠀⢠⣎⡴⢦⠀⠘⣷⡏⠀⣿⣧⣼⡇⠀⠀⠀⠀⢿⣿⣯⡘⡀⠀⠘⣦⡀⠀⠀ ⠀⠀⠙⠦⣄⡀⠀⠀⠀⠈⡆⠋⠁⠀⠀⠳⢄⣻⠀⠀⣿⣾⣿⣷⡆⠀⠀⠀⠚⠉⣋⡀⢧⣸⠓⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⢭⣟⡃⢀⠀⠹⡄⢀⠀⠀⢀⡠⠼⠣⠀⠘⠟⠛⠉⠀⠀⢀⡴⠒⠚⠙⢣⣼⣏⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣉⠀⠀⠙⣼⡙⠒⠬⣷⠦⠀⠀⠀⠀⠀⠀⠀⠀⡾⠇⠀⠀⣰⠟⢡⡼⣗⠭⣉⢲⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣷⢀⣤⣈⣑⣢⣄⡀⠀⠀⠀⠀⣰⠻⣶⠖⠋⠁⠐⡙⣗⣌⠳⣌⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠋⣹⠟⠓⣤⠾⣍⡉⠉⠙⢦⣈⠓⢤⡀⠀⢣⠈⢎⠲⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣄⢰⣿⢠⠀⠙⢿⣶⣤⡾⣧⡀⠳⡀⠀⠓⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠙⢿⣿⣿⡇⠀⢣⠘⢄⠹⠟⠦⠀⠈⠀⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠘⣿⣿⡇⣠⢤⣴⣾⣾⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠹⣿⣿⣿⣶⣿⣿⣿⡄⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⢹⣿⣿⣿⣿⣿⠃⠙⣄⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡆⠀⠀⠀⣻⣿⣿⣿⡏⢀⡜⠃⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⡠⠄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⠀⠀⠀⠀⠀⣀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠲⢄⣀⠤⠃⠀⡠⠁⢀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⢀⠀⠑⢤⣀⠞⢃⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⢠⠀⠀⡠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠻⡦⡀⠙⢤⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⢾⠁⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣀⣽⡷⡆⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡆⠈⠳⢤⡀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣴⠞⠋⣡⣷⠿⡆⠑⡄⠱⣄⡀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣴⠟⠋⠉⡄⢣⠀⠘⣆⠘⢆⠉⠑⠶⠶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢸⠘⡄⠀⣠⣴⣷⠈⡆⠀⠻⣇⠈⣧⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡐⢸⠀⣿⡏⠁⣿⡏⣆⡇⠀⠢⣿⡶⢻⠀⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣾⡿⠃⠀⠀⠀⣾⢰⠀⠘⡇⣾⠀⠀⠀⠀⢀⣿⠀⢀⣷⡇⠀⠘⠷⠞⠙⢠⡿⡁⠀⠀⣩⡧⠿⢥⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠉⡀⠀⠐⠒⠲⣿⢸⠲⠗⢷⣿⠀⠀⢀⣴⡞⣇⣴⢾⡟⠀⠀⢀⣴⣶⣶⣼⢧⣱⠀⠀⠈⢣⡀⠀⠳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢱⠀⠀⢠⠀⡇⢿⠀⠀⠘⠘⣴⡖⠋⠋⠀⠉⠁⠀⠀⠀⢠⡿⣿⡇⢹⡿⠀⣿⡇⠀⠀⠀⢹⣶⠄⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣬⣿⣄⢸⣧⡇⢈⣶⣤⣾⣦⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡇⠸⡇⠀⠙⢻⠀⠀⠀⠘⡿⠆⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⢿⢯⠻⠏⣷⣾⡿⢿⣏⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡃⠀⡇⠈⢦⢸⣤⠀⢠⡷⠀⠀⠀ ⠀⠀⢠⠄⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠈⠣⣠⣼⣿⣿⣤⣾⡿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠱⡄⠀⢻⣿⠒⠁⠁⠀⠀⠀ ⠀⢀⡎⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣟⠛⠀⢸⣃⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠀⠉⠒⠤⢀⡀⠀ ⢀⡞⠀⠀⠀⠀⠀⢧⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠙⠢⣍⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠑⠢⢄⡀⠀⠀⠀⠈⠑ ⢺⠁⠀⠀⠀⠀⠀⠈⢧⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠐⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⠀⠀⡠⠮⡀⠀⠀⠀⠀⣈⣓⣶⣤⡀⠀ ⠀⠀⠀⠆⠀⠀⠀⠀⠀⢳⡤⣀⠀⠙⠦⣀⣀⣀⡠⣶⠒⠈⠉⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠊⠀⠀⠈⢁⡠⠔⠚⠓⢮⡛⢍⢉⣳ ⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡾⠷⠦⢄⠈⠉⠣⡀⠈⠙⠲⠦⣄⣀⡉⠲⣖⠒⠒⣊⣉⡽⠛⠛⠻⣖⣚⣛⡩⠥⣀⠀⠀⠀⠀⠙⢮⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠈⠓⠦⣈⠓⢤⡀⠀⠀⠈⠉⠛⠶⢿⣧⣄⣸⣄⠤⠤⢾⡿⠀⠀⠀⠐⠁⠉⢦⡀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⣈⣔⡊⡉⠒⢄⡀⠀⠀⠀⠀⠀⠉⠒⠯⣕⣒⠺⠅⣀⠀⠀⢀⠔⠢⠤⢱⡄⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠈⠳⠀⣤⠿⢤⡉⠉⣉⠈⠑⠨⣑⠢⣄⠀⠀⠀⠀⠀⠈⠛⢿⣲⣤⣉⠑⠣⢄⣀⠔⠊⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠉⠋⠳⣄⠔⠊⠉⠉⠓⠿⣶⣤⣀⠀⠀⠀⠀⠙⠢⣈⢉⡢⣄⡉⠓⢇⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢯⢦⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠒⠂⢀⡎⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⡶⠤⣄⡀⠀⠈⠙⢏⡙⠻⣦⡀⠑⣆⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠈⡉⠒⢲⣤⣀⣀⣤⣴⣶⣶⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⡠⠄⠂⠈⢈⡉⠉⠛⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⡿⠟⠁⠀⡠⠀⠀⠀⣠⠔⠀⡠⠚⠀⡄⠀⠀⠉⠻⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⢸⣿⠟⠃⠀⢀⠞⠀⠀⢠⠞⠁⣠⠊⠀⢀⣼⠁⣾⡀⠀⡄⠘⣿⡏⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⣶⠏⠂⢠⢀⠎⠀⠀⡰⠃⢀⣼⠃⠀⡠⢋⠇⣰⠁⢿⡄⢸⡆⢹⣇⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⡎⣞⠀⣠⡾⢁⣾⢻⠃⣠⡞⠁⡜⡰⠃⠀⢸⡗⢒⡇⠈⣿⠀⠀⠀⠀ ⢰⣿⣿⣿⡏⠀⠀⠀⠀⢀⡠⠞⣿⠁⣄⣰⣼⢁⡝⢳⣷⡟⠁⣼⡴⠙⠀⣼⠟⠁⠀⠀⠸⢸⠀⡇⠀⠿⠀⠀⠀⠀ ⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⢰⣿⡏⢿⡟⢻⡿⢲⣿⡿⣿⣦⣤⣾⣿⣆⣁⣉⣀⡀⣸⢰⠀⠀⣾⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣰⣿⣿⣿⡇⠘⣰⠈⠃⣾⡟⢡⡘⣿⡏⢸⡏⢩⣭⣽⡟⣿⣿⢻⣿⣼⣏⠀⠀⠀⠀ ⠀⠘⣿⣿⣿⣿⣄⠀⠀⠀⡼⣏⣿⣿⣿⣿⣴⣿⣦⣼⣟⣠⣦⣄⣻⡇⣼⠇⣶⣬⣿⠁⣿⡇⢸⡿⢻⣿⡄⠀⠀⠀ ⠀⠀⠘⢿⣿⣿⣿⣷⣦⡞⢸⣿⡟⢿⣾⡿⣿⢦⡀⠀⠉⠉⠉⠉⠛⠛⠛⠛⠻⠿⠿⢶⣬⣥⣿⣇⣾⠹⡗⠄⠀⠀ ⠀⠀⠀⠀⠙⠻⣿⣿⣿⡅⡿⠀⢧⠘⣇⣷⣝⣆⠉⠒⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢸⡿⣁⣼⣿⣿⣠⢸⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢻⡙⢷⡀⠈⠳⣿⡁⢻⣿⣷⡒⠀⠀⣿⠉⠉⣻⡏⠀⠀⠤⣴⣿⣟⡿⠋⣾⠛⣿⡜⣽⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⠋⠙⠶⣯⣀⡞⣁⡙⢻⣿⣿⣿⣦⣄⡀⠒⠒⠚⢀⣠⣴⣿⣯⣽⣋⣤⡾⠳⣴⣿⠿⢇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢀⠭⡉⡿⠋⢹⣌⣿⣏⠻⣿⣷⣶⣿⣿⠋⢙⣿⡀⠀⢙⡏⠀⢠⠞⠙⣗⠢⡉⠀ ⠀⠀⠀⠀⠀⠀⠸⠀⢇⠀⠃⠀⠸⡀⠈⢇⠀⡇⠙⣿⣽⠤⡉⣛⣟⢋⡇⡴⢫⡾⢿⠀⢸⠀⡔⠁⡠⠀⠀⠇⠘⡆ ⠀⠀⠀⠀⠀⠀⢰⡇⠈⠂⢸⠶⡀⠑⣄⠘⡄⠘⣶⠟⠻⣦⣆⣠⣀⣀⣻⣷⠏⠀⢸⠀⠘⠴⢥⣎⣀⠔⣁⡴⠘⡏ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠹⠄⠜⠢⣈⡦⠗⠀⠸⢴⡶⡇⠈⠀⠙⠁⠠⢿⣦⠀⠈⠳⠄⣀⠀⠉⠉⠉⠀⣄⡜⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢀⣀⣀⡤⠴⠞⠛⠉⣻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠉⠁⠀⠀⠀⠈⠉⠉⠉⠙⠿⢍⣁⠀⠀⠀⠀⢀⡞⠉⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠴⠶⢴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⢀⡟⠀⣠⣿⡀⠀⠀⠀⠀⠀⠀ ⢀⣴⠒⡖⠒⠒⠒⠒⠚⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⡖⠉⠀⣠⠇⠀⠀⠀⠀⠀⠀ ⢸⣧⠉⠉⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⢀⡴⠚⠉⠉⠑⠲⢤⡀⠀⠙⢦⠀⠉⣻⡦⠀⠀⠀⠀⠀ ⠀⢿⡀⠀⠀⠀⠀⡹⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠈⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠉⢢⡀⠈⢷⡈⠳⣦⠀⠀⠀⠀⠀ ⠀⠈⣧⠀⠀⠀⢸⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡔⠀⢳⡶⠃⠀⠀⠀⠀⠀ ⠀⠀⢹⡄⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⢀⠀⠀⣸⠀⠀⠀⠀⠀⠀⡴⣲⠾⠑⠂⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⡄⠀⡼⠁⠀⠀⠀⠀⠀⢠⠟⠁⠀⡿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠸⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣶⠃⠀⠀⠀⠀⠀⢀⡎⠼⠃⠀⣇⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⣠⠄⠘⡇⠀⠀⠀⠈⠛⠒⠤⡀⠀⠈⢧⠀⠈⠙⢲⣶⡴⠀ ⠀⠀⠀⠀⠀⠘⠷⣿⠤⠀⠀⠀⣼⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢧⠀⠤⢾⠁⠀⠀⢿⠀⠀⠀⢀⣤⣤⣶⣿⠤⣤⠬⠷⠤⢸⡟⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⡟⠀⠀⠀⠀⡟⠀⠀⠀⠀⡀⠀⠸⣄⣠⣾⣀⠀⠀⣼⢀⡖⠒⠾⢷⡶⢮⡙⢧⡇⠀⠀⠀⣸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⣇⠀⠀⠀⣸⠁⠀⠀⠀⢠⡗⢤⣾⠿⣫⣾⢷⣄⢠⠟⠋⠀⠀⠀⣿⡷⣤⣿⡿⡇⠀⠀⢠⡿⠀⠀⠀⠀ ⠀⠀⢀⣠⡴⠟⠁⠀⠀⠀⠀⠀⢿⠀⠀⣴⢃⡴⢾⡀⠀⠘⣷⣿⠁⢰⣿⣷⣤⣾⠂⠀⠀⠀⠀⠀⢹⣿⣿⣧⡀⢧⠀⠀⠈⢷⣄⡀⠀⠀ ⠀⠀⠘⠧⣄⠀⠀⠀⠀⠀⠀⠀⠸⡆⠚⠛⠉⠀⠀⠹⢄⠀⢿⡇⠀⠸⣿⣶⣿⣿⣶⡆⠀⠀⠀⠀⠢⠟⠛⠛⠡⢼⡄⢹⠖⠒⠋⠉⠀⠀ ⠀⠀⠀⠀⠈⠙⠳⢶⣤⡤⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠙⠚⣧⡀⠀⢹⣿⣿⡿⠿⠓⠀⠀⠀⠀⣀⡤⠴⠿⣧⡀⢹⡛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠧⢤⣤⠄⠀⠈⢧⡀⢦⣀⡀⠀⢶⡒⠉⠁⠉⠀⠀⠉⠁⠀⠀⠀⠀⠀⣴⠎⠁⠀⠀⠀⣬⣽⠟⢲⡲⠤⢄⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣅⣀⠀⠀⠀⢳⣼⡈⠙⠓⠶⣽⡗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠗⠀⠀⢀⣼⠟⢁⣴⡲⣭⡓⠤⣈⢉⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠉⠈⣿⠀⣠⣄⠀⣙⡲⣤⣀⡀⠀⠀⠀⠀⠀⢀⡶⠻⣷⠶⠚⠋⠀⠀⣏⠳⡳⣄⠙⢦⣀⠙⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠋⠁⠹⠟⠙⣿⠿⣄⣉⣴⣟⠉⠉⠙⠛⢧⡀⠙⠲⣄⡀⠀⠀⠸⡆⠙⣌⢳⣠⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡁⠀⢠⡿⡀⠉⠳⢶⣤⣤⡀⠉⣵⣦⠀⠙⣆⠀⠀⠹⣄⡽⠂⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⣿⣿⣿⣦⡏⡇⠋⣦⠀⢄⠙⢿⣿⣿⠛⠚⠷⢄⠈⢧⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠘⢿⣿⣿⣷⡇⠀⠈⠆⠈⢣⡈⢻⠉⠣⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠈⢿⣿⣿⡇⢀⣤⢤⣰⣶⣷⡟⢆⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠘⣿⣿⣷⣿⣧⣨⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠙⢧⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠏⠀⢀⣷⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡆⠀⠀⠀⠀⣻⣿⣿⣿⣿⡟⠀⣠⠞⡁⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠉⠚⡕⠒⣒⣖⣖⠖⠒⢍⠂⢱⠃⠀⠀⠀⠀ ⠀⠀⠀⢠⠈⠈⢀⣀⠀⠉⠈⠉⠀⢀⣀⠈⠈⢰⠀⠀⠀⠀ ⠀⠀⠀⠂⣀⡀⠉⠉⠑⠀⠀⠀⠀⠋⠉⠁⣀⣀⢣⣤⢢⣄ ⠀⠀⢸⠀⣒⠲⠀⠀⢄⡀⠠⠄⢀⣠⠀⠀⠗⣒⢸⠀⠷⡾ ⠀⠀⠀⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠀⠀⠂ ⠀⠰⠋⠉⣿⡞⠻⣆⣶⡶⠶⣶⣶⣶⡾⠏⠟⠋⠁⢀⠐⠀ ⢴⡀⠀⠀⢻⡝⣱⢛⡯⣄⣦⡿⣼⠁⠀⠀⠀⠀⠀⠈⡀⠀ ⢟⣷⣄⠀⠐⣽⣆⣧⠖⠻⠄⠈⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠈⢤⡆⡫⠿⣷⣾⠳⠆⠠⣂⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀ ⠀⠀⠉⢇⡡⢊⣟⣄⢀⡧⠇⠀⠀⠀⠀⠀⢀⡀⠔⠁⠀⠀ ⠀⠀⠀⠀⠈⠁⠉⠉⠐⠒⠒⠒⠒⠂⠀⠉⠀⠀⠀⠀⠀⠀
⠀⢀⣠⡴⠞⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⣳⣶⣤⣤⣶⡶⠿⢛⠋⠉⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣿⣿⣿⣿⣿⣿⢭⣥⢀⣀⣼⡆⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⣼⣿⣿⡿⠋⠁⠀⠴⠟⠋⣩⡿⠻⣄⣠⣶⠛⡿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⣤⣀⠀⠀⠁⠀⠀⢠⣞⣡⢰⡇⠙⣧⠀⠀⠀⠀⠀ ⣶⣆⡾⠁⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣄⡀⠀⠻⣟⠁⢸⠈⢷⣸⡇⠀⠀⠀⠀ ⢉⡟⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣄⣀⠀⠀⠀⠀⠀⣤⣦⡀⠀⠈⠙⠷⣄⡈⠉⣻⠀⠀⠻⣏⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⣩⣿⠶⢦⣤⣼⣿⣿⣣⣶⣶⣀⣤⡈⠛⢦⣇⠀⠀⠀⢻⡄⠀⠀⠀ ⡟⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⠟⠁⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠙⣇⠀⠀⠈⣧⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⣿⣄⠀⠀⠀⠀⣦⡀⠀⣤⣷⣤⣶⣿⣿⣿⣿⣿⠛⠻⢿⣿⣿⣿⣶⣦⡀⠀⠀⢻⠀⠀⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠙⢷⡄⠀⠀⠘⣷⡀⠻⣿⣿⣿⡿⠋⠀⢿⣿⣧⡀⠈⣿⣿⣿⣿⡟⠀⠀⠀⢸⠀⠀⠀⢸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡀⠀⠙⣦⡀⠀⠘⣷⡀⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⡿⠋⠻⣿⠁⠀⠀⠀⣾⠀⠀⠀⢸⡇⠀⠀ ⠀⡀⢰⣧⠀⠀⢸⡇⠀⠀⠈⠻⣦⡀⠸⣷⣸⡿⠃⠀⠀⠀⠀⠐⠟⠋⠉⠀⠀⠀⢸⡇⣀⠀⠀⠋⢠⡆⠀⣼⠀⠀⠀ ⠈⣇⠀⣿⠀⡀⠘⣧⠀⠀⠀⠀⠈⠻⣄⠹⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⢸⡇⢰⠇⠀⠀⠀ ⠀⢻⠀⣿⡆⣷⠀⣿⠀⠀⠀⠀⠀⠀⠙⢷⣜⣿⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⡇⠀⢠⡄⢸⣇⣿⠀⠀⠀⠀ ⠀⢸⡆⢹⣧⢹⡀⢸⡇⠀⠀⠀⠀⣠⣀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⣼⠇⠀⣾⠃⠀⣯⢹⣆⠀⠀⠀ ⠀⠀⡇⣸⢿⡜⡇⠈⣇⠀⠀⠀⢰⣿⣿⣿⡦⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⣿⠀⠀⡿⢿⣿⣆⠀⠀ ⠀⢠⣿⣿⡌⣧⣷⠀⢻⡀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⢸⡿⠀⠀⡇⠀⠻⣿⣆⠀ ⠀⣾⣿⠘⣿⣿⣿⡄⠸⡇⠀⠀⠀⢀⣾⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡏⠀⢸⡇⠀⠀⡇⠀⠀⠘⠿⠆ ⠚⠋⢻⡀⠘⣿⣿⣧⠀⣿⠀⠀⣠⣾⠏⠈⠙⠛⠻⠗⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⢣⡇⠀⣾⡇⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⠘⣿⣿⣧⣸⡇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⡾⢸⠃⠀⣿⠀⢀⡾⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠻⣦⡀⠘⢿⣆⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⢀⣇⣿⡿⣸⡏⢀⡾⠃⠀⠀⠀⠀⠀⠀ ⠙⢧⡀⠀⠈⠻⢶⣌⡛⠿⣾⣷⣤⣄⣀⣀⠀⠀⠀⠀⠀⣀⣤⡾⠟⠁⠀⠀⢸⠹⣿⡿⣿⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⠻⣦⣀⠀⠰⣾⣿⣷⣦⣄⠈⠉⠉⢻⣿⣿⣿⢿⡿⠿⡭⠤⢴⠶⠲⡖⢺⣄⠛⠁⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢹⣦⣈⠹⣷⣦⣤⣙⣻⣿⣿⠛⣀⡤⠚⣷⢺⡖⢲⡗⠲⡗⠒⣿⠒⢲⠗⢺⡉⠓⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⡿⠋⠙⠛⠺⢿⠶⣤⣄⣉⡽⠚⠻⢤⣄⡈⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⡡⠞⠁⠈⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠖⠉⠒⢤⡀⠀⠀⠀⠀⢀⡤⠖⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⢁⠊⠀⣑⡄⠈⠙⠒⠒⠊⠁⠀⣊⠀⠑⡌⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠁⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠗⠉⠑⢦⡀⠀ ⠀⠀⠀⣾⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⠀⠀⢿⢉⡁⠀⠀⠹⡄ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠈⣳⢄⣀⠀⠀⢧ ⠀⠀⠀⢸⡀⠀⠀⠀⠂⠌⣒⢄⠐⢍⡩⠆⡠⡔⠩⠐⠀⠀⠀⢀⡏⠀⠀⠀⠀⢸ ⠀⠀⠀⢀⣷⡀⠀⠀⠀⠈⠉⠉⠢⠠⠇⠰⠉⠉⠉⠀⠀⠀⢀⡜⠀⠀⠀⠀⢀⠏ ⠀⠀⢠⠎⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠊⠀⠀⠀⠀⢠⠎⠀ ⠀⣰⠃⠀⠀⠀⠀⠉⠛⠯⢭⣀⣀⣒⣒⣀⣀⡩⠽⠓⠉⠀⠀⠀⠀⠀⡴⠃⠀⠀ ⢰⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⢰⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀ ⡞⡠⠂⡀⠀⠀⠀⡜⠀⠀⠀⠀⠉⠐⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠹⣇⠀⣇⢀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀ ⠀⢸⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠈⣇⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠈⠲⢖⣉⣫⣙⣷⠤⠤⠖⠒⠒⠒⠲⠤⢄⣀⣜⣍⣽⣉⣒⠴⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡖⣛⡒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢖⣛⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢹⠁⠈⠙⣦⠉⠓⢶⢻⣿⢹⣿⢓⡖⠒⠋⢡⡞⠉⠀⢱⣳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠸⠤⠔⠊⠁⠀⠀⠘⠾⠙⠞⠙⠟⠀⠀⠀⠀⠉⠒⠤⠼⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⡀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠘⠛⠉⠉⠻⠆⠀⠀⠀⠀⠀⠀⠾⠋⠉⠙⠛⠀⠀⠀⠸⡆⢀⣠⣤⣄⡀⠀ ⠀⠀⠀⠀⠀⢸⠀⠖⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡒⠒⠒⣿⠋⢳⡄⢳⠹⡆ ⠀⠀⠀⠀⠀⣹⠐⢛⣉⣭⠄⠀⠀⠰⣦⣀⣀⣠⠴⢦⣄⣀⣀⣠⠄⠀⠀⢸⣍⣉⠓⢽⣤⣼⣥⣾⣤⠇ ⠀⠀⠀⠀⠀⠸⡆⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉⢁⣟⠀⠀⠀⠈⡇⠀ ⠀⠀⠀⠀⠀⣰⣿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠀⠀⠀⢰⡇⠀ ⠀⠀⠀⣠⠞⠁⠙⢾⣼⣽⠷⣶⣶⢤⡤⣤⣤⣤⣤⣤⣤⣤⡤⣤⢴⠶⡖⣿⣿⠼⠛⠁⠀⠀⢀⠞⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⣼⢋⢹⡀⡎⢹⢾⣦⣷⠛⠉⠙⢷⠾⢦⡧⠼⠾⠛⠋⠉⠀⠀⠀⠀⠐⣤⠎⠀⠀⠀ ⢀⣾⣻⠀⠀⠀⠀⠹⣟⡭⠟⢹⠟⠾⣆⣻⡀⠰⡆⣸⢤⡄⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⢸⣇⠻⣄⠀⠀⠀⢀⡐⢷⡖⢛⣰⠉⣋⣹⣏⡛⠛⠣⠼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀ ⠘⣇⡙⣿⣦⣀⠀⠀⠉⣷⣟⣇⣨⣿⠟⠉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠻⣌⣹⣣⠈⡟⢳⣞⣽⣥⣼⣟⣥⡄⠀⢀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⠈⠛⢧⡀⡗⢋⣉⠭⣽⣿⡉⠛⠁⢀⠏⡴⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣏⠁⣠⠖⢹⣿⣇⠀⠀⠘⣄⣧⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⠳⠖⠛⠿⠿⣷⣖⣉⣁⣀⣀⣀⣀⣀⣀⣀⣤⠤⠴⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣠⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣂⡤⠶⠟⠛⠛⠛⠉⢾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⣠⠞⠋⠚⠋⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡖⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⣤⡀⠀⠀⢠⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠀⠈⠉⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣏⡀⠈⣏⣭⣶⡖⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣒⣢⠴⠟⠈⠁⠀⣠⢄⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠙⠿⢾⡷⣄⣀⠉⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠴⠋⠁⠀⠀⠀⠀⠀⢠⢟⠟⠀⠀⠀⠀⠀⠀⠸⡀⢀⡶⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠹⣌⠻⣝⢦⡈⢻⣄⠀⠀⠀ ⠀⢀⣀⡤⠴⠒⠉⣀⣀⣀⣀⣀⡀⠀⠀⠀⣿⡟⣠⠆⠀⠀⠀⠀⠀⠀⣷⠏⡇⠀⠀⠀⠀⢿⠘⣄⠀⠀⠀⠀⠀⠘⢆⠙⣧⣙⢦⣹⣧⠀⠀ ⠺⢿⡓⠈⠉⠉⠉⠉⣿⠁⠀⠈⠉⠓⢦⣄⣿⣰⠃⠀⠀⠀⠀⠀⠀⠀⣼⠄⢷⠀⠀⠀⠀⠘⣇⠙⣆⡀⠀⠀⠀⠀⠈⠀⠹⣿⣧⠳⣟⣧⡀ ⠀⠀⠉⠲⣄⠀⠀⠀⢿⠀⠀⠀⠀⠀⢸⠀⢿⠏⠀⠀⠀⠀⠀⢠⡄⠀⣿⠀⠈⢧⡀⠀⠀⣀⣼⣶⢻⣿⠶⠄⠀⠀⠀⠀⠀⠹⣿⡀⠹⠿⠁ ⠀⠀⠀⠀⠈⠳⢄⡀⠘⢆⠀⠀⠀⢀⡞⠀⡿⠀⠀⠀⠀⠀⠀⣼⣷⡀⣿⡄⠀⠈⢷⡀⠀⠀⢸⣷⣤⣿⣇⡀⠸⡄⠀⠠⡄⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠓⠤⣤⡼⠃⣀⡇⠀⠀⠀⠀⠀⢀⣿⣿⢻⡏⠀⠀⠀⠈⣇⠀⠀⣼⣿⣻⣽⣿⣇⡶⢹⠀⠀⢻⡀⠛⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣶⣄⠀⠀⠀⢿⡇⠀⠀⠀⠀⢠⢿⣿⢸⣸⠁⠀⠀⠀⠀⢹⠀⣰⠏⠹⣿⣿⠉⢹⡇⠈⡆⠀⠈⣧⠀⢸⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠉⠉⠁⢻⡇⠀⠀⠀⣴⠏⢹⣿⣿⡿⣿⡻⣟⠒⠀⣯⣤⠃⠀⠐⠿⠟⠂⠈⡇⢰⣇⠀⠀⢹⣰⠀⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⢸⢳⠀⠀⠀⢹⡆⠸⣿⣙⣖⡟⣋⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⡀⢿⡀⢀⢸⣿⠀⢹⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠀⢦⠀⢸⠀⠀⠀⠀⠀⢳⡀⣜⣆⠈⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⠘⡇⢸⣿⠿⠀⠈⠧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⡵⡈⢧⡘⠀⠀⠀⠀⠀⠀⢧⡈⢻⠦⠤⠄⠀⠀⠀⠠⣄⣀⣀⡤⠄⠀⢰⡾⢡⡿⡄⣿⣿⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠳⡄⢳⡄⢀⠀⠈⢣⡀⠀⢳⡈⢧⡀⠀⠀⠀⠀⠀⠉⠉⠁⠀⢀⣴⢿⣇⡎⠀⣿⡟⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠹⣄⢹⡄⣷⡉⢢⡹⡄⢠⣽⡏⣯⠉⠓⠲⠶⢤⣤⣤⣤⣴⢿⠟⢸⡿⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠘⡄⠻⣼⠛⠀⠈⠙⠦⣽⠟⠾⡆⠀⠀⠀⠀⢸⠀⠀⠀⠏⠀⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⣀⣤⠏⠀⠀⠁⠀⠀⠀⠀⠸⢦⣠⣤⣾⡿⠛⠻⢟⡲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣟⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠹⣆⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠈⠛⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⢹⣆⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⢻⡆⠀⠀⠈⠙⠲⠶⢤⣀⠀⣠⠎⠀⠀⠀⠀⢹⡀⢀⢻⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠈⡇⢸⣼⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣇⣀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⡤⠴⠒⠒⠒⠦⢤⣄⣠⠴⠚⠋⠉⠀⠈⠙⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⣠⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠈⢵⣦⡤⢄⣀⠀⠀⠀⡀⠈⢦⡈⠉⠐⠒⠤⠂⠀⠀⠀⠙⠉⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢇⠀⠈⠓⢄⡈⠉⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⠤⠤⠐⠦⠐⠒⣉⠅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⠜⠁⢀⠎⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠱⡀⠀⠀⠐⢤⣀⠤⠒⠉⠀⠀⠀⠀⠀⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⡰⠃⠀⢠⠎⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠈⢆⠀⠘⡄⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⠀⠀⣠⠎⠀⠀⡜⠁⠀⢠⠃⠀⠀⡞⢀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠘⡄⠀⠘⡄⠀⢣⠀⠀⠘⣄⠀⠀⠀⠀⡸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠔⠀⡸⠀⡀⢠⠃⠀⠀⡜⠀⢸⢠⣿⠀⠀⠀⡀⠀⠀⠀⠀⢣⠀⡀⢱⠀⠀⠸⡀⠈⢇⠀⠀⠈⠆⠀⠀⢠⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⡰⠁⠃⠀⠀⢰⠁⢀⣏⢸⠇⠠⡀⠀⡇⠀⢠⠀⠀⢸⠀⢸⠈⠀⡆⠀⠁⠀⠘⡄⢀⠀⢸⠀⢠⠧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡰⠃⢠⠇⠀⠀⢰⠀⠀⢀⣎⣿⣾⡆⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠁⡀⠀⠀⠀⢡⠘⡄⡀⠐⠃⡀⢣⠀⠀⠀ ⠀⠀⠀⡀⠔⠋⣀⠀⡜⠀⠀⠀⢸⠀⠀⡟⠀⢸⡇⢏⠙⣿⢆⠀⠀⠀⡆⠀⠀⢠⣿⣇⣰⠀⠀⠀⠀⠀⠀⠀⣧⠹⡀⠀⠈⢳⠇⠀⠀ ⠀⣀⠤⠀⡲⠟⢁⢴⠃⣴⠀⢠⢸⡀⣰⣁⣀⣸⠀⠘⡄⢹⠈⢆⠀⠀⡇⠠⢒⣿⣿⣿⠿⠲⣧⡀⠀⠀⠀⠀⡏⡄⢣⠀⠀⣈⢆⠀⠀ ⠠⣤⣚⠉⠐⠊⠁⠀⢸⢹⠀⠸⣸⣿⣿⡏⠹⢻⣶⣄⢱⢸⠀⠈⢢⡀⠃⢠⠎⢸⣹⠃⠠⠠⠁⠀⢀⠀⢰⠀⡇⠁⠈⠳⢄⡈⠙⣧⠀ ⠀⠀⠀⠉⠉⠀⠀⠀⡞⠀⠀⡇⠹⡟⢿⡁⠀⢄⡇⠋⠀⢻⠀⠀⠀⠳⣼⣃⣼⣿⡟⠿⣿⣶⡄⠀⢸⠀⠀⠀⡇⠀⠠⠤⠤⠬⣁⡬⠧ ⠀⠀⠀⠀⢀⣾⣴⠞⠁⡀⠀⢣⡀⡿⠠⢍⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⠿⢹⡋⠘⠠⣿⠙⣿⠀⠘⠀⠀⣀⠇⠀⠀⠀⣠⡾⠁⠀⠀ ⠀⠀⠀⠀⠰⠾⠥⠤⢴⡇⠀⠈⣷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠦⠾⣧⣾⠋⠀⢠⠃⢠⠛⠀⠀⣀⡭⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⠍⠀⢂⢃⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⠃⠀⠀⡎⡠⡎⢠⠀⠉⢓⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠸⠘⠈⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⠇⡴⣁⡜⢠⢃⣧⣏⠀⠀⣀⣙⡧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢀⡇⣀⡄⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣎⡜⡰⠻⣡⢷⣜⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢱⣃⠼⣽⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠞⡿⠁⡔⢹⡇⠈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠀⠙⠂⠀⠀⠀⠀⠀⠀⣀⣤⡖⠉⣸⢋⡜⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠤⠴⠦⠤⠔⠒⠉⠸⠀⢸⡀⠀⠀⠀⠀⠀⠉⠀⡼⣤⣼⣁⡜⠂⠤⢧⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠣⣈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠤⠤⠤⠔⠢⠤⣤⣀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠦⠀⠀⠀⠀⠐⠒⣂⣄⠾⠿⣵⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⣀⠴⠊⠉⠀⠀⢀⡤⠆⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠋⠀⠀⢀⡤⠀⠀⠀⠀⣠⠖⠀⢀⡴⠋⠀⡄⠀⡀⠀⠈⠻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠈⣿⣿⡿⡇⠀⠀⠀⣴⠋⠀⠀⠀⣠⠞⠁⢀⡴⠋⠀⠀⣠⠇⢀⣇⠀⠀⠀⠈⢻⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⣿⡟⣰⠀⠀⢀⡼⠁⠀⠀⢠⡾⠁⠀⣠⡞⠀⠀⢀⡴⡿⠀⣸⠹⣦⠀⠘⣄⠀⢿⣏⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⢠⠁⢠⡇⡾⠁⠀⠀⣠⠟⠀⢀⣴⡏⠀⠀⣠⠞⢸⠃⢰⠇⠀⢻⡶⠤⢿⡀⠈⣿⡆⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⡀⠀⡞⢸⠃⠀⢀⣾⠋⢠⣾⠟⡽⠀⢠⣾⠃⢀⡏⣰⠇⠀⠀⢸⡟⠛⠬⡇⠀⣏⡇⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣠⡼⣿⡇⡀⠀⢠⢧⡏⠛⡶⣏⣏⡴⡿⠃⢰⡇⡴⡻⠁⢀⣾⡴⠃⠀⠀⠀⢸⢹⠆⢩⠇⠀⢸⡇⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠐⠚⠁⢠⣷⡇⣿⣷⣾⣾⣧⣾⣥⣼⣟⣺⢥⣤⣸⡼⠁⠀⣀⣾⣟⣡⡤⠤⠄⠀⠘⢸⡆⣼⠀⢀⢸⡇⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣿⣿⠀⢹⡟⠉⢹⣿⢉⣿⣿⠟⠻⣿⣶⣶⢿⣿⣿⣦⣤⣤⣤⣴⣂⣸⡇⡏⢀⡎⣸⡇⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡆⠸⢁⡇⢸⠃⣸⣿⠏⣠⡄⢻⣿⡇⢠⣿⠀⣦⣤⣹⣿⠉⣿⣿⠟⣿⣿⢠⣿⡇⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣿⡇⣿⣿⣿⣿⣷⣀⣾⣷⡀⣰⣿⠏⣠⣍⣁⠸⣿⡇⣸⡏⠀⣍⣉⣿⡿⢰⣿⣿⠀⣿⣿⠟⣷⣇⠀⠀⠀⠀⠀ ⠀⠈⢿⣿⣿⣿⣿⣿⣦⣀⠀⣠⠟⡼⣰⣿⢿⠘⡿⣿⣿⡟⠛⠛⠛⠿⠿⠿⠿⠿⣦⣿⣤⣿⣇⣰⣿⣿⣿⣧⠘⠿⡟⢠⣿⡇⢠⡟⡿⡄⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⡇⢰⣿⢻⡇⢸⣧⢳⡙⣿⡝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠛⠛⠛⢻⣶⣾⣿⣿⣇⣿⡇⠹⡝⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⡀⢸⠇⠈⣿⠈⢿⣈⣿⣌⣳⡀⠈⠑⠂⠀⢀⣠⡠⠤⢤⣀⠀⠀⠀⠀⠀⠀⠈⣱⡿⢁⣰⣿⠾⣿⡇⡄⢹⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⠳⣼⡄⠀⠈⢷⣼⣿⠈⢻⣿⣿⡶⢤⡀⠀⢸⣿⠟⠛⠛⣿⡟⠀⠀⣀⣀⣠⣼⣯⣶⢿⡿⠁⣶⠿⢿⡇⡞⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⢧⡀⢛⠦⠀⢀⡿⠛⢦⣴⡯⢿⣿⣶⣄⠀⠈⠛⣀⣀⣀⣻⠃⠀⠀⢀⣴⣿⠿⢟⡿⠋⣀⣴⣟⢀⣼⡿⣡⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠙⠚⠷⠤⣍⣢⡤⣀⣩⣿⡶⢽⣿⣿⣿⣶⣄⡈⠉⠉⣀⣤⣴⣾⣿⣻⠵⠾⠯⣤⢞⡿⠋⠉⢿⣿⢿⡙⠣⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⡀⠀⠀⢀⡤⢭⠉⡿⠃⢀⣷⡄⢿⣷⠙⢿⣿⣿⣷⣿⣿⣿⠟⠉⢉⣿⣄⠀⠀⠈⡟⠁⠀⣠⠟⠉⢳⣝⠲⣄⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡄⠀⢇⠀⠀⢻⠀⠀⢳⡀⠀⢸⠈⢻⣼⢟⣦⣀⠉⠿⢿⠿⠛⡇⢀⡴⢫⣾⣿⡧⠀⢸⠃⢀⠞⠁⠀⡠⠈⢈⣇⠈⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢳⡀⠘⡆⠀⠈⢳⡀⠀⢻⡀⠸⡄⣠⢿⡿⣄⢸⠑⢒⡒⠒⠘⣷⣾⢠⡟⠁⢠⡇⠀⢸⠀⡞⠀⡰⠊⠀⣤⠆⢘⢀⣼⠇ ⠀⠀⠀⠀⠀⠀⠀⠐⣻⠀⠀⠃⡀⡏⠙⢆⠀⠙⣄⠀⣇⠀⠙⡟⠋⠀⢹⠿⢦⡼⢧⣤⠤⠼⢿⣿⠀⠀⠸⣇⠀⠈⠉⠛⠺⡥⣴⣚⡡⠴⠻⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⢤⠎⠳⣤⣼⡷⠿⠠⠀⠸⠺⣿⣻⠁⠄⠀⠀⠁⠀⠀⠟⣿⣦⠀⠀⠌⠳⢤⣤⣤⠀⠁⠀⠀⠀⠠⣦⣴⠃⠀
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