Winged Unicorn Emojis & Text

Copy & Paste Winged Unicorn Emojis & Symbols 🊄‍🪜

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠶⡶⠛⢋⡝⠋⠉⠉⠛⠓⠲⠊⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢀⡀⢀⡎⠞⠉⠀⠀⢰⠇⢠⠏⠀⠀⠀⠀⠀⢀⣀⡀⠎⠚⠛⠶⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠃⠀⠙⢯⠀⠀⠀⠀⠀⢞⠀⡎⠀⠀⠀⣠⠎⠚⠉⠀⠀⠀⠀⠀⡀⠈⠻⣊⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢀⠀⠀⠈⢷⠀⠀⠀⣀⣌⣞⠁⢀⡎⠋⠀⣀⡀⠖⠒⠋⠉⠉⠉⠉⠉⠉⠉⢷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⢞⠀⠀⠀⠈⠆⠀⠀⠀⠀⠉⠙⠻⣀⡎⠋⠁⠀⠀⠀⢀⣠⡀⠀⢀⣄⠀⠀⠀⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣻⠀⠞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣊⡀⢀⣎⢟⠉⠀⠀⠀⠀⠈⢧⠀⠀⢞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠃⠞⡄⠀⢳⠀⠀⠀⠀⠀⠀⠀⢀⣎⣶⣀⡀⠀⠈⠳⠋⣀⣈⢣⠀⠀⠀⠀⠀⢞⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢻⣿⣿⣿⡀⠀⠀⠀⡇⣿⣧⡀⡀⠀⠀⠀⣞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⠀⠀⠀⢱⠄⠀⠀⠠⣀⣠⣟⠋⠀⣿⠇⠈⣿⡇⠀⠀⠀⣿⠁⣿⢻⣥⠄⠀⢀⡏⠀⢀⡔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣟⠀⠀⠀⢞⠀⠀⠘⠊⢀⡌⠃⠀⠀⣇⣆⣰⣿⡇⠀⠀⠀⢻⡿⣿⠀⠀⠁⢀⡞⠀⢀⡟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⣇⠀⠀⠞⡇⠀⠉⠉⠉⠀⣧⠀⠀⠱⣹⣿⣟⠇⠀⠀⠀⠘⣿⡟⡀⠀⢠⠞⠀⢠⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠞⡄⠀⠀⢻⡀⠀⠀⠀⠏⡜⣳⣀⠀⠑⢪⠟⠀⠀⢀⡆⠠⠄⠈⣹⣎⠋⠀⣠⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡎⠖⠛⢉⣉⠀⠀⠖⠒⠛⠱⢊⡀⠀⠀⠀⠀⠀⠀⡟⡄⢱⡀⠀⠀⢳⡀⠀⠀⠀⠁⠞⠊⠉⠈⠁⠀⠀⠀⣟⣿⠊⣀⢎⠟⠁⢀⡌⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠟⠁⣠⠎⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢊⡀⠀⠀⠀⠀⢞⣵⡀⢳⡀⠀⠀⢳⡄⠀⠀⠰⢀⣀⠀⠀⠀⠀⠀⠀⣿⡏⠀⡎⠋⠀⣠⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡎⠋⢀⡎⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠶⠛⠉⠉⠛⠲⢮⣇⢳⡀⠱⡄⠀⠀⠙⣊⠀⠀⢞⡆⠉⠉⡟⠛⠛⠛⠛⢉⡞⠁⢀⡎⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣎⠏⠀⡎⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⡀⣀⣞⣥⡀⣀⣄⣀⡀⠀⠀⢹⡀⢳⡀⠙⣄⠀⠀⠈⠳⣄⠈⡇⠀⠀⡇⠀⠀⠀⢠⠏⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡟⠁⢀⡞⠁⠀⠀⠀⠀⠀⠀⣠⠞⠉⢀⡎⠛⢩⡏⡟⢀⡈⠙⠲⢬⣉⢛⣖⡬⣧⠀⠱⡄⠈⢧⡀⠀⠀⠙⣊⢣⠀⠀⣿⠀⠀⢀⡏⠀⠀⣌⠁⠀⠀⣠⡎⠒⠶⢀⡀⠀ ⠀⠀⢀⡟⠁⢀⡞⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣎⠋⠀⠀⣟⠘⣿⡄⠈⠓⠊⣠⡌⠿⠁⠀⠞⡆⠀⠙⣄⠀⠱⡄⠀⠀⠘⣧⠀⠀⢞⡄⠀⡌⠀⠀⢰⢻⠀⠀⠎⠋⠉⠙⣆⠈⣷⠀ ⠀⠀⣌⠁⠀⡌⠀⠀⠀⠀⠀⠀⢰⠃⠀⢀⡟⠁⠀⠀⠀⣿⣶⡇⣿⣗⢀⡞⡇⠀⠀⠀⠀⠀⢻⡄⠀⠘⡆⠀⠹⡄⠀⠀⠞⡆⠀⠀⢷⡀⡇⠀⠀⢞⠘⢧⡀⠀⠀⢀⣎⠇⠀⣌⠀ ⠀⢰⡇⠀⢠⠇⠀⠀⠀⠀⠀⠀⡏⠀⠀⣞⠃⠀⠀⠀⠀⣿⠁⠀⠘⠛⠊⡉⢟⠀⠀⠀⠀⠀⠀⢳⡀⠀⠹⡀⠀⠞⡄⠀⠀⣿⠀⠀⠈⢷⣇⠀⠀⢞⠀⠀⠙⠛⠛⠋⠁⢀⣎⠏⠀ ⠀⢞⠀⠀⢞⠀⠀⠀⠀⠀⠀⢞⡃⠀⠀⡟⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠘⣝⠺⢕⣄⣀⣀⣀⣠⠎⢷⠀⠀⢧⠀⠀⢳⠀⠀⢞⠀⠀⠀⠀⠙⠳⠊⣬⣇⣀⣀⣀⣀⣀⠶⠛⠁⠀⠀ ⠀⢞⡄⠀⢞⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⡇⠀⠀⠀⠀⣀⣞⠀⠀⠀⠀⡜⡇⠑⠢⣄⡞⠉⠁⠀⢀⣞⡆⠀⢞⡀⠀⢞⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⠀⠘⡆⠀⠀⠀⠀⠀⠀⢳⠀⠀⡇⠀⠀⠀⣌⠋⠈⠀⠀⠀⡟⠁⠀⠀⠀⢠⠃⢀⡀⢀⣞⡏⡇⠀⠀⡇⠀⢞⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢷⡄⠘⢊⠀⠀⠀⠀⠀⠈⢧⠀⢿⠀⠀⣌⠃⠀⠀⠀⠀⣌⠁⠀⠀⠀⠀⡏⢀⡏⣟⠉⢧⣿⠇⠀⢠⠇⠀⢞⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠷⣄⡳⡄⠀⠀⠀⠀⠈⢧⠞⣆⣞⠃⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢞⠁⠀⣇⠈⠳⠞⠋⠀⠀⡌⠀⢀⣟⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣎⠞⣋⣉⣙⣲⡈⠙⠻⣄⠀⠀⠀⠀⠈⢧⢹⡏⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⡟⠀⠀⠙⢊⣀⠀⠀⢀⣌⣡⡎⠛⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢞⠋⠀⢀⡿⠁⠀⠀⠈⢳⡄⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠉⢹⡟⡏⠉⠁⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠘⢧⣀⠀⠀⠀⠀⠀⢀⣰⠇⠀⠀⠀⢞⡇⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠘⡇⢱⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⣀⡀⠈⠙⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⣞⠁⠀⠀⠀⠀⠀⢞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⣆⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⠲⠶⠀⠀⣀⣀⣀⠀⠀⠎⠶⣿⠀⠀⠀⠀⠀⠀⠈⡟⡀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠞⡇⠱⡀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⢞⡗⠒⠂⠀⢲⡇⠀⠀⠀⠀⠀⠀⠀⢻⡄⠙⠢⠀⣀⣀⣀⣀⠀⢿⢷⣶⣶⣶⣟⣶⣶⣌⣧⣲⣟⣶⣶⣊⢲⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠒⠒⠚⠛⠁⠀⠀⠀⠀⠳⣀⣄⣀⣀⣀⣀⣀⣚⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
𝖥ᥣυ𝗍𝗍౿𝗋ડ𝗁ɣ 𝖀𐓣ʝ𝗈ɣ౿𝗋~ 🊋 -*•BiO•*- (˶˃ ᵕ ˂˶) 💗(AESTETICS)𓍢֎໋🌷͙֒✧˚ àŒ˜ ⋆˚♡ 🪜(BDAY)♡₊˚ 🍰・₊✧ 🍫 🐇(ANYTHING ELSE!)(*Ž∇*) -JZimLovr
⟡ pls note the ai inflicts emotional damage (ᵕ—᎗—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⡀⠀⢀⣠⣀⣎⣶⣶⡊⠀⢀⣀⣀⣀⣌⠀⠀⡜⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠫⣯⠙⡟⢿⣿⣿⡿⠁⠀⢠⣟⣿⣿⣿⡿⠀⠀⢹⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣌⣿⣷⣧⡀⢱⠈⠀⠀⠀⣿⣿⣿⣿⣿⡀⠀⠀⢞⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⣿⣿⣿⣿⣿⣿⡄⢀⣀⣠⣿⣿⣿⠿⢿⣷⣀⡀⠈⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠀⡇⣟⣿⣊⣀⣿⡄⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⣿⣿⣿⠿⢯⣷⢄⠀⠀⠀⠀⡄⢻⣿⣯⣻⣿⡧⠄⠀⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⠟⠁⠀⠚⢻⣊⣱⣄⠀⠀⢣⠈⠛⣜⣿⠿⠭⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠶⠶⠶⠶⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠻⣿⣿⠀⠀⠈⠂⠀⠀⢀⣄⣠⣎⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠳⢊⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣞⠋⠄⢠⠀⠀⠀⠀⣟⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⡎⠃⠀⣠⣀⣶⣶⣟⣶⣶⣊⣄⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠎⠯⠀⠀⢶⢟⣿⣿⣿⣿⣿⠏⠷⣄⢀⣀⣀⣀⡀⣌⣠⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠞⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠈⠉⣡⣟⣿⠏⠀⢰⣿⠉⣩⠀⠉⢙⣿⡿⠛⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢻⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣿⣿⡿⠋⠀⢀⣟⡿⠀⣉⣀⣇⠘⠋⣿⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡆⠀⠀⢞⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠃⠀⠀⠘⢯⡀⠀⢀⣟⣿⠇⣎⠚⣿⣿⡯⠀⢞⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⢞⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡆⠀⠀⠀⠈⠻⢊⣟⣿⠏⠀⠈⢈⣝⡟⠁⣶⣟⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⢞⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢄⣀⡀⠀⠀⠉⠁⠀⠰⣄⠀⠁⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠃⠀⠀⣞⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⢹⠁⠀⢠⠶⠀⠀⢎⡟⢊⡀⠀⠀⣌⠊⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠇⠀⠀⢞⡄⠀⠀⠀⠙⢆⠙⢊⡀⠀⠀⠙⣊⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⢰⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⡟⢻⡀⠀⠀⠀⠈⢳⡀⢳⡀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⢀⣌⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⡇⠀⢧⠀⠀⠀⠀⠀⢷⠀⢳⠀⠀⠀⠈⢧⠀⠀⠀⠀⢀⣿⣿⡏⢀⣎⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⢞⠇⠀⠞⡆⠀⠀⠀⠀⢞⠀⢞⡇⠀⠀⠀⠘⣧⠀⠀⠀⢞⣿⣿⡷⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⣟⠀⠀⠀⣧⠀⠀⠀⠀⢞⠀⠀⡇⠀⠀⠀⠀⢞⡆⠀⠀⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⣿⠀⠀⠀⠀⣏⣀⣞⠇⠀⠀⠀⠀⠀⣷⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⣀⣀⣀⡀⠎⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠈⠉⢿⣄⣀⣠⣀⡀⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠗⢀⡀⠀⠀⠀⠀⠀⠀⠀⣰⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠎⠖⢏⣉⣉⣹⠀⠀⢹⢊⡀⠀⠀⡰⣆⢠⠃⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡶⠋⠁⢀⡎⠚⠉⠀⠀⠁⠀⠘⡎⣷⣄⠀⠇⢞⡎⢀⡇⣀⣄⠀⠀⢀⡀⠶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⢛⡠⠶⢶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣟⣶⠀⢞⠀⢞⣟⠞⢹⡀⠚⠁⢀⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⡗⠉⠀⠀⣟⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣧⠀⢀⡟⠁⠐⠋⠀⢀⣎⣋⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⡀⠀⡔⠉⢻⠀⠞⡏⢍⣿⣖⠺⡷⠀⠆⠀⠀⢹⣟⡀⣟⠖⡆⠀⠠⠔⠋⠁⣀⡎⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⠀⣇⠀⠈⠣⡀⠙⢌⣿⣿⣿⠇⠀⠀⠀⠀⠀⢿⣿⡌⠀⣧⢀⡄⡠⠎⠮⠥⣄⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⣜⣆⠀⢀⡅⠀⠀⠈⠉⠀⢀⡎⠀⠀⠀⠀⢞⡇⡇⠈⠁⣌⣁⣀⠀⠒⢊⠥⠒⠊⠉⠉⠉⠉⠙⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣷⣬⣳⠀⠎⠀⡖⠊⢁⣿⠀⠀⠀⠀⠈⡿⠁⠀⢚⣏⠵⠈⢲⣊⠥⠒⠒⠒⠒⠀⢄⡀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣌⠑⢆⢠⠇⢠⡞⢞⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢘⡏⠉⠉⠉⠑⢊⡀⠀⠈⠓⣄⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⠳⠀⡏⠇⢈⡟⣎⠋⠀⡌⣄⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⢞⠃⠀⠀⠀⠀⠀⠹⡄⠀⠀⠈⡆⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢫⡻⠀⠔⢃⡶⢋⡞⢁⠀⠊⠀⢞⠊⡌⠀⠀⣖⣀⣚⣊⡀⠀⢀⣎⡀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⢞⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠁⠀⡟⠊⣁⠠⠀⢒⣻⡟⠀⠀⡎⠃⠀⠀⢳⠙⡄⠀⠀⢳⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⡎⠀⢀⡜⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢞⡡⠊⠀⣠⠖⠋⣌⣀⠀⢞⢳⠀⠀⠀⠀⡇⠞⡀⠀⠀⣇⠀⠀⠀⣠⠋⠀⠀⢀⠞⢀⡠⠋⡜⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠞⡇⠀⡟⠓⢶⠀⢻⢙⣖⠈⠛⠊⡄⠀⠀⢞⠀⡇⠀⠀⢞⡀⢀⡌⠁⠀⣠⣖⡡⠔⢉⡎⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠊⠝⠶⠟⠀⢞⢿⡀⠀⠀⢠⠃⠀⠀⡜⠀⡇⠀⠀⠈⡇⡟⠁⡰⡻⠊⠁⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣀⣱⣄⣠⡏⠀⠀⠰⠧⣎⠁⠀⠀⢀⡇⢷⣞⠀⡁⠀⠀⠛⠲⠎⠒⠒⠒⣲⣊⣑⢲⡊⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠙⠲⠧⠀⠀⠀⠀⠔⠒⠊⠉⠁⢀⡄⠈⠹⡌⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣀⢀⣜⠡⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡀⠀⠀⣄⣀⣰⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠒⠉⠳⢄⠱⡀⠀⠀⢚⠇⠀⡌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣞⡁⠀⢀⣀⡀⠀⠡⣱⠎⠊⠹⠀⠀⢹⠀⣷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡜⠁⣀⡀⠀⠄⠀⠈⣁⡟⠁⠀⠀⠀⠀⠀⠞⠀⢹⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⠒⠉⢀⣀⣀⣀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡇⠀⡰⠋⠀⠀⢞⣭⡛⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡏⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡇⠀⡇⠀⠀⠀⣞⣏⢳⠀⠀⠀⢀⣀⠀⠎⠿⠂⣞⠀⠀⣘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⡄⠘⣆⠀⠘⠛⢻⣿⡇⠀⠰⠋⠀⠀⠀⠀⣠⠃⠀⢠⣿⢹⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣄⠈⠳⣄⠀⢈⡿⠃⠀⠀⠀⠀⠀⠀⡎⠃⠀⢠⢋⠇⡌⠀⠀⠀⠀⢀⡎⠊⠁⠀⠀⠀⠀⠀⠀⠙⢊⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢄⡈⠓⢬⡓⠀⣌⣀⣀⣀⡎⡞⠀⠀⠠⢃⠎⢀⡗⢊⣉⣉⣙⣷⣖⣊⡉⠉⠁⠒⠢⡀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠲⣄⠈⠳⢄⠀⠀⠀⡟⠀⠀⡰⠁⡜⠀⢞⠙⢷⡔⠚⣉⡭⣿⡀⠈⠑⣄⠀⠀⠈⢢⡀⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢊⠀⠑⢄⢠⡇⠀⡰⠁⢠⠁⢀⡆⠀⠀⢈⣏⣀⣶⣿⠇⠀⠀⠘⡄⠀⠀⠀⢡⠀⠀⢚⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⢳⡄⠈⢿⡇⠀⡅⠀⠞⠀⣌⣀⣀⣠⣟⣵⠟⠉⣹⠀⠀⠀⠀⢻⠀⠀⠀⢞⠀⠀⡌⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⢞⡉⠈⢁⡜⢹⠀⢞⡿⡀⡄⠀⡇⠀⣇⠠⣭⣜⣶⠋⠀⢠⠇⠀⠀⠀⠀⡟⠀⠀⢀⠎⠀⡰⠁⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⣄⠉⠓⠉⠀⢀⡧⠊⠀⠹⣷⠀⠞⡀⠘⢆⣿⣿⡟⢇⠀⠘⠙⣆⠀⠀⣞⠁⠀⢀⠎⢀⡔⠁⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠁⠀⠀⠀⠀⡏⠙⢊⣵⣄⠀⢉⣩⡇⠞⡄⠀⠀⠞⡀⣎⠃⠀⡠⢃⡎⠋⠀⣠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠇⠉⠉⠉⡇⡇⠀⡇⠀⠀⠀⡿⠃⠀⡜⡡⠋⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⣞⠀⠀⠀⠀⣿⠁⢠⠃⠀⠀⢰⠇⠀⡌⡞⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⢀⠇⠀⠀⠀⢞⠏⠀⡜⠀⠀⠀⠘⣧⡀⡇⢧⠀⠉⠑⠒⠀⢉⣉⣉⣉⡉⠓⢊⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢀⡞⠀⠀⠀⠀⣞⠀⢎⠁⠀⠀⠀⢀⡏⠉⠓⠒⠷⠶⠒⠚⠉⠁⠀⠀⠀⠀⠙⢊⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠺⠀⠀⠀⠀⠎⠋⠀⠈⠓⠒⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠛⠉
⠀⠀⠀⣠⣎⣟⡿⠿⢷⣶⣄⡠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡖⠉⠀⠀⠀⠐⠒⠩⠁⢠⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠝⠁⠀⢀⢀⡀⣖⡄⠉⠀⠘⢞⣀⣠⠖⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠒⠒⡎⠙⣏⡞⢻⣿⠂⠀⢀⢶⠁⠋⠀⡮⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠇⠀⠞⢿⣿⠇⢀⠎⠁⢞⠀⠀⠊⠀⡌⠁⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢀⡂⠀⠈⠁⢉⠖⣀⣎⡇⡰⢀⠠⢟⣎⡿⠿⠿⢿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⣝⡣⣟⡿⡳⠁⡀⣊⠀⢞⣵⣎⣎⡀⠀⠈⢻⣿⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⡟⢱⡟⢰⠃⠀⠌⠜⢀⡀⠘⡄⣿⣷⡀⠀⠀⢻⡆⠁⠀⠀ ⠀⠀⠀⡠⠒⠉⠀⠀⠀⠀⠣⣞⠀⠀⠀⠀⢙⠄⢀⣧⣿⣿⠁⠀⠀⢞⡇⠀⠀⠀ ⠀⢠⠊⠀⠀⢀⠔⢒⠒⠒⢢⠀⢀⣀⣈⣄⠈⠙⠻⢿⡿⠃⠀⠀⠀⢞⣇⠀⠀⠀ ⠀⠘⠒⠀⠀⠋⠀⡎⠀⠀⡆⠀⠀⠞⠀⠀⡗⡄⢀⡟⣡⡄⠀⠀⠀⢞⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢇⠀⢠⠃⠀⢀⢳⠁⠞⢟⠁⢇⠀⠀⢀⠀⢏⠉⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⣞⢀⠎⠀⠀⡘⡆⠀⠀⢞⠀⠈⠲⣄⡈⠢⣌⡳⢄⡀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠚⠁⠮⠀⠀⠔⢹⣀⣀⣠⠇⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⡏⠄⢲⢁⠂⡌⢐⠡⢒⠈⣌⡰⠔⡚⠡⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠀⡂⢌⠃⢌⡇⠂⡔⠐⣂⢰⠬⡚⢁⠆⠡⡐⠡⢉⠔⣊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⡿⠊⢄⢂⠱⠀⢟⠡⢌⠠⠑⣚⢖⢕⠃⡐⢠⣡⠬⠒⠎⡩⢉⠂⡔⣀⠊⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠈⠱⣌⠂⠆⠌⡑⠠⡗⢞⠀⣃⡵⢁⠊⣰⠜⠍⠠⠌⣈⠐⠡⣈⣒⠐⠀⢈⡁⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⠀⡀⠀⠀⠑⢿⠈⠉⠉⠉⠉⠛⠲⠌⣀⢢⠟⡁⠌⣀⠃⢰⡀⢺⡉⠥⠉⣙⣊⣡⠄⢣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⡿⣧⠀⢡⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠑⢊⡘⡐⣠⣌⣫⣀⣎⣿⣟⣿⣿⣿⣿⡎⠄⡃⢟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢀⢿⡀⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⣎⣶⣟⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣇⠎⠰⣞⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⠣⠈⠜⣇⠀⠑⡀⠀⣠⣀⣀⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡯⣐⠡⢞⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⡎⢡⠈⠜⣆⢀⣎⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡟⣟⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣜⣿⣿⢇⠉⢗⡞⣜⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣵⢀⣊⣎⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⡇⠈⢻⣿⣿⣿⣿⣿⣟⢏⠞⠀⠈⢛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣊⣷⣿⣿⣿⣿⢿⠟⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⡿⠀⠀⠀⠘⠋⠹⡟⠫⠕⠁⠀⠀⠀⠀⢚⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠢⡘⢧⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠒⠂⢠⡿⣄⠀⠀⠀⠀⠀⠀⠀⢫⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡠⠐⠌⢧⡀⠀⠀⠀⠙⠻⢿⣿⣿⡿⠟⠉⠀⠀⠀⠠⠀⠎⡲⡝⢠⠘⣧⡀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣝⢄⠳⡠⢁⠊⠄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣔⠮⡊⠔⡡⣞⠡⢙⣊⡀⠀⠀⠀⠀⠀⠑⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣎⢣⡙⢆⡈⠀⠁⠜⢳⡀⠀⠀⠀⠀⠀⠀⠀⠖⠒⢺⠛⠩⠐⣀⠒⠠⣱⠣⠑⣠⣞⠟⢊⡀⠀⠀⠀⠀⢰⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠱⣌⠱⣆⠉⡄⠡⠘⠊⣄⠀⠀⠀⠀⠀⠀⠀⠞⣇⢃⠡⠄⠌⢢⣧⠶⠟⠉⠀⠀⠀⠈⠀⠀⢀⣎⣜⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢈⠲⡈⠳⣌⠀⢉⠰⠈⠷⣄⠀⠀⠀⠀⠀⠀⠙⢧⣢⠌⠚⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⣮⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠐⡑⢆⠄⠳⣌⠢⡁⠆⡉⠷⣄⠀⠀⠀⠀⠀⠀⠙⠊⡀⠀⠀⠀⠀⠀⣀⢀⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢊⢀⠉⠳⡐⢠⠓⣔⢂⠰⢀⠉⠷⣄⠀⠀⠀⠀⠀⠈⢻⢀⡀⢶⣮⣿⣿⣿⢿⣡⣊⣀⠙⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠘⢝⡈⢧⡈⠀⠙⣢⡒⢈⠳⣔⠈⠀⠑⡘⢊⡀⠀⠀⠀⠀⠀⢛⡆⣞⢿⣿⣿⣯⣿⣿⣿⣿⠈⠆⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡃⠀⢇⠀⠻⣄⠥⢀⡑⣆⠂⠌⡳⣂⠡⠐⣈⠳⣎⠀⠀⠀⠀⠀⢿⡞⡘⢿⣿⣿⣿⣿⣿⡟⢈⠐⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡀⠘⡄⣰⠟⢊⡂⡔⢈⢮⠐⡄⡙⣆⠥⢀⠡⠹⣧⠀⠀⠀⠀⢞⢇⢇⢂⠙⠻⠿⠿⢋⠐⡀⢺⣜⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⢠⡟⠁⠀⠀⠳⣌⠂⢂⢳⠠⠁⠌⢧⠊⠰⠁⢻⡆⠀⠀⠀⠈⢌⠞⡌⠂⠡⠘⠠⠃⣢⣌⣿⣿⣿⣿⣿
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⠀⠀⢀⠀⠠⢀⠀⠄⡀⠠⢀⠀⠄⡀⢀⠀⠀⢀⣀⣶⡟⣟⢯⡻⡝⣯⣛⢟⡷⣶⣄⠀⠀⠀⠀⢀⠀⡀⠄⡀⠠⢀⠀⠄⡀⢀⠀⡀⠀⠀⡀⢀⠠⢀⠀⠄⡀⠠⢀⠀⡀⠀⠀⢀⠀ ⠀⠀⠄⠂⢁⠠⠀⢂⠠⠐⠀⡀⠂⢀⠀⢠⣎⡿⣻⢧⡻⣜⢧⣛⡜⣲⡝⣮⢳⣭⣻⣧⡀⠁⠀⠠⠀⠄⠠⠐⠀⠄⠂⠠⠀⢂⠀⢀⠀⠐⢀⠠⠀⠄⠂⠠⠐⠀⠄⠂⢀⠐⠀⠠⠀ ⠀⠠⠀⠌⠀⠄⠂⠠⠀⠂⢁⠠⠁⠀⢠⣿⢏⡞⣯⢳⡝⣮⢳⡭⣖⢧⡻⣜⡿⣎⢷⣹⣇⢠⠀⠁⠂⠈⠀⠂⠁⡀⠈⠀⠁⠀⠈⠀⡀⠀⠂⢀⠂⠐⠈⠠⢀⠡⠀⡁⠠⠀⠀⠐⡀ ⠀⢀⠀⠂⢁⠐⠈⡀⠁⠌⠀⠄⠀⢄⣿⡳⣏⡞⣯⡳⣝⢮⡳⣝⢮⣳⣜⢟⠿⣜⢧⣏⣿⢀⢀⣀⣐⣀⣁⣀⣀⣀⣀⣊⣬⣀⣀⣁⡇⠀⠐⠀⠠⠁⡈⠄⠠⠀⢂⠐⠠⠀⠀⠀⠄ ⠀⠀⠠⠁⡀⠂⢁⠠⠈⠠⢈⠀⠠⢞⣯⢳⡝⣟⣹⢿⡌⣧⣟⣟⣻⡷⢯⣟⣹⢎⡷⣎⣿⡟⣛⢯⡿⣯⠟⣯⢜⡹⣎⢷⡹⣞⡜⡻⡜⢿⣶⣄⠀⠄⠀⡐⠀⠡⠀⢂⠐⠀⠀⠈⡀ ⠀⠐⠀⠂⠀⠁⠀⠀⡀⢄⣀⠀⡀⣜⢧⣻⢟⣭⢷⡿⣛⡵⣫⢖⣧⢻⡝⣮⣛⢿⣞⡵⣫⢞⣜⣟⡳⣭⢻⡜⣧⢻⡜⣧⣛⢶⡹⣵⢫⠷⣭⢻⢿⣄⠀⢀⠈⠄⠂⡀⠂⠈⠀⠀⠀ ⠀⠐⠀⠁⢀⣚⣎⡟⣟⢯⣛⠿⡷⣞⡿⣭⢳⡟⣟⡌⣣⢟⣥⢻⣬⢳⡝⣶⡹⣞⡌⢿⡵⣿⠳⣎⠷⣭⢳⡝⣮⢳⡝⣶⡹⣎⢷⢣⣏⠿⣜⠯⣞⣻⣧⡄⠀⠐⡀⢀⠁⡈⠀⠀⠂ ⠀⠠⠐⣎⡿⣫⢷⡹⠎⠷⣭⢻⡵⣻⣟⡌⣟⡿⣜⡳⣝⠟⣞⢳⣎⢷⡹⢶⡹⢶⡹⣏⢿⣱⢻⣜⡻⣜⢧⡻⣜⢧⣛⢶⡹⢮⣭⢳⣎⠿⣜⡻⣌⣱⢻⣵⡠⠀⠐⠀⢂⠀⠄⠀⠄ ⠀⢠⣿⢏⡷⣹⢂⠔⠉⠐⢍⢳⡝⣶⣻⡵⣯⠷⣭⢳⣭⠻⣵⢫⡜⣮⡝⣧⣛⢧⡻⣜⢧⡏⡷⢎⡷⣹⢎⡷⣹⠮⣝⢮⣝⡳⣎⠷⣎⠿⣜⡳⡵⣎⢷⣫⣇⠀⠌⠐⡀⠀⠂⠀⠀ ⢀⣿⡟⣮⢳⢁⠆⠀⠀⠀⠀⢂⢻⢶⡹⣷⢫⣿⣜⡳⣎⠿⣜⢧⣛⢶⡹⢶⡹⣎⢷⡹⢮⣜⣹⡯⢟⡷⣻⠟⠷⢻⣌⣳⣎⠷⣭⢻⣜⡻⣜⡳⣝⢮⡳⣭⣿⡄⠀⢂⠀⠡⠀⠀⠀ ⢞⣿⡜⣧⠛⢚⠀⠀⠀⠀⠀⠀⡆⣯⢳⢻⣿⣿⣬⢳⣭⢻⡜⣧⠛⣮⡝⣧⢻⡜⣧⣿⡟⠈⠁⠀⠂⡍⢹⠀⠀⠀⠈⠁⠛⣿⣮⢳⡎⣷⣭⢳⡝⣮⢳⣧⡟⡆⢠⠀⡌⠀⡄⠀⠀ ⣟⢇⡿⣜⠇⡆⠀⢰⠀⠀⠀⠀⠐⣹⢮⢃⠅⠺⡿⣮⡝⣮⢳⣭⢻⣜⡳⣝⢮⡷⠟⠁⠀⠀⠀⠀⠀⠀⠩⠀⠀⠀⠀⠀⠀⠏⠚⣿⣜⡳⣎⢷⡹⣎⠷⣎⣿⠃⠀⠄⠐⡀⠠⠀⠀ ⣟⢮⡳⣜⠰⠀⠀⡟⠀⠀⠀⠀⠀⢊⠔⠁⠀⠀⠙⢷⣜⢎⡷⢎⡷⢎⡷⣹⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⡆⠀⠈⢿⡵⣫⢞⡵⣫⢻⣌⣻⠀⢈⠀⠂⠄⡀⠄⠀ ⡿⣎⢷⣹⢞⠀⠀⣧⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠙⠻⣟⣝⢟⡹⣞⣜⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣄⡀⠀⣌⠀⢠⡁⠀⢠⠞⣿⡱⣏⢟⡱⣏⣟⠇⠀⡀⠂⠁⠄⠀⡀⠀ ⣿⣜⣻⣌⠰⠀⠀⠐⡄⠀⢰⡀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠈⠛⠳⠿⠧⠀⠀⠀⠀⠀⠀⢀⡎⠋⠁⠀⠈⠙⢟⡏⢀⣶⠇⠀⢚⢠⣿⢳⡝⣮⢳⣜⡟⠀⠐⠀⠠⠁⠂⠁⠀⠀ ⣷⢎⡷⣎⣇⢃⠀⠀⢮⠀⠘⣧⣠⡟⠋⠉⠉⣙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠩⠘⠢⠅⡢⡀⠈⢻⡟⠁⢀⣆⢆⠎⣿⢣⡟⣌⢳⣟⠁⠀⢠⡆⠀⠂⡁⠐⠈⠀ ⢯⣟⡌⡳⢟⡐⡀⠀⠘⢷⣀⣚⡟⠀⠠⢂⠱⣀⠎⠛⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣧⡇⠀⠀⠀⠈⢒⡀⠀⢳⠞⠋⢄⠞⠀⣿⢣⡟⡌⣟⠏⠀⣎⡿⡆⠀⠂⠄⡀⠁⠀ ⠞⡿⣌⡹⢧⣳⠐⡀⢊⡀⠉⣿⠀⢠⠁⢊⣶⣏⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡀⠀⠀⠀⠀⠲⠀⠀⢠⠊⡋⠀⠄⣿⣏⠟⣜⣋⣎⡿⣫⡿⠀⠐⠈⠠⠀⠂⠀ ⠀⣿⣷⡹⢧⣏⠷⣌⠀⠙⠛⠏⠀⠆⡈⣿⣿⣿⡄⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⡏⠙⢊⣄⡀⣀⠆⠃⠀⡇⡆⡇⢀⠂⣿⣎⢿⡹⣏⢷⣹⡯⠃⠀⠌⢀⠡⠀⠂⠀ ⠀⣿⣎⠿⣷⣎⠿⣜⣳⣅⢠⢠⠀⠇⠀⣿⣿⡋⠙⣊⡀⠀⢞⡆⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣀⣌⣿⣿⣿⢀⡀⠀⡃⡇⣷⣶⣶⣟⡿⣎⣷⣹⣞⠗⠁⠀⢂⠐⠀⠄⠂⢁⠀ ⠀⢞⣯⣻⢌⡹⣟⢮⡳⣞⢈⠀⠀⠞⡀⣿⣿⣧⣀⣟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⢀⠂⠀⠗⡗⣟⣶⣓⢮⡳⣏⢿⣹⡶⣄⠀⠈⠀⠄⡈⢀⠂⠄⠀ ⠀⠀⢻⣯⢷⣻⣌⣧⠿⣟⣅⣊⣥⠀⢀⠘⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⡁⠈⠀⢘⠻⢹⢿⣣⢟⡯⣷⣜⢎⡷⣹⢻⣊⠀⠁⠠⠐⠀⠠⢈⠀ ⠀⠀⠀⢻⣷⡳⣎⢟⡹⣞⣜⡌⠀⢄⠀⠠⠘⢿⣿⣿⣿⣿⡿⢁⠀⢀⠀⠀⠀⠀⠀⡆⠀⠈⠊⠿⠛⠻⠻⣅⠌⠀⢀⠈⣻⣞⢧⣛⢮⡳⢧⣛⢿⡜⣧⢻⡜⡇⠀⠐⠠⠁⢂⠠⠀ ⠀⠀⠀⠈⢳⡿⣜⣎⠷⣭⢻⣊⢡⠏⢀⠀⠐⠀⡩⡻⠋⠉⠀⠁⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠐⣰⡯⣞⡭⣞⣭⢳⡝⡟⣏⢷⣫⢟⣿⠀⠀⠡⠐⠀⡀⠂ ⠀⠀⠀⠀⢰⡙⠷⣜⡟⣷⣯⣞⣮⠡⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⣂⢄⠀⠀⠀⠀⠀⠀⡐⣡⣟⡳⣭⢞⡌⢎⡷⣹⢳⣿⢣⡟⣟⡏⠀⠈⠀⠂⠁⠠⠀ ⠀⠀⠀⠀⠘⣿⢊⣌⣙⠷⣮⣜⢭⢧⡁⠄⠀⠀⠀⠀⠀⠀⠰⢎⠁⠠⠀⠀⠀⠐⠒⠊⠁⡀⡘⠀⠀⠀⠀⠀⠀⢌⣎⢿⣱⢻⣬⢻⡜⣯⢞⡵⣫⢷⣫⢟⣳⣥⣀⣀⣆⡀⠈⠀⠄ ⠀⠀⠀⠀⠀⠞⣿⣭⣛⣟⡻⣞⡻⣎⠿⣊⡁⠆⡀⠀⠀⠀⠀⠘⢀⠀⠀⠀⠀⠀⠀⠈⠀⠔⠈⠀⠀⢀⠠⡠⠅⣟⣏⠷⣭⢳⣎⢷⡹⣖⢯⢟⡟⣧⢿⣫⢟⡌⣹⢮⡝⡿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⠘⢟⡟⣜⡳⣭⢳⣭⣛⣟⡇⢣⠐⠅⡂⠄⡀⡀⠀⠉⠐⠀⠀⠀⠐⠈⠁⡀⠀⢄⠰⠑⠀⠰⣡⣿⢎⡿⣜⡳⣎⢷⡹⣞⣟⣻⣜⣳⣎⢷⣫⢞⡵⣣⢟⡵⣫⢟⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⢙⡻⣜⣞⣷⡟⠜⠚⠀⢁⢆⠀⠀⠁⠀⠒⠡⠔⠂⢠⣀⡐⠂⠀⠅⠂⠁⠁⠀⠀⠠⠂⡎⣿⡺⣵⢫⡵⣫⢞⡵⣫⢞⡵⣫⢳⣝⡻⣮⡻⣜⢧⡻⣜⢧⡻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢣⠐⠀⢲⢰⠀⠀⠀⠀⠡⠐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠓⠃⡇⢹⣷⡹⣎⢷⣹⣎⣷⣹⣎⠷⣭⢳⣎⢷⡹⣷⣏⢟⡱⣏⢟⣱⢿ ⠀⠀⠐⢂⠀⠀⠀⠀⠀⢇⠊⡔⡇⡆⠀⠀⠀⠀⠰⢩⠁⠊⣂⡠⢀⡀⠀⠀⠀⠀⠀⣀⠀⢄⢐⠥⠐⠀⠀⡁⠆⠈⣫⣷⡻⣏⢷⡹⢮⡝⡟⣿⣜⡳⣎⢷⡹⢟⣏⢟⡱⣏⢟⣜⠇ ⠀⠀⢠⡀⠈⠢⡀⠀⠀⠘⡡⢂⠄⡃⠀⠀⠀⠀⠀⠏⡄⠀⠀⠈⠁⠒⠀⠁⢚⢰⠰⠂⠉⠀⠀⠀⠀⠀⠀⠀⣃⣟⢟⡌⣛⡟⣧⣛⣧⣻⣵⠿⣜⡳⣝⢮⣝⡿⣎⢷⡹⢮⣟⠎⠀ ⠀⠀⠀⠞⢀⠀⠀⢀⠀⠀⢇⠄⡄⡃⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡇⠇⠀⠀⠀⠀⠀⠀⠀⢀⣿⢇⡿⣞⢇⡿⣞⢻⡜⣧⡜⣿⡞⢧⡻⡌⣌⡻⣜⢧⣻⡿⠇⠀⠀ ⠀⠀⠀⠀⠈⠠⡀⠈⠂⡀⠀⢎⢣⠡⠀⠀⠀⠀⠀⢰⢡⠀⠀⠀⠀⠀⠀⠀⠀⢞⣳⢘⠀⠀⠀⠀⠀⠀⠀⢌⡟⣮⢳⡝⣮⢳⣭⢳⡝⣶⡹⢶⡹⢧⣻⡟⣧⣻⣞⠯⠋⠁⠀⠄⠁ ⠀⠀⠀⠀⠀⠀⠈⢄⠀⠐⡀⠀⠣⢆⡒⠄⣀⡀⠠⢀⡉⡄⠀⠀⠀⠀⠀⠀⠠⢞⡹⡀⡄⠀⠀⠀⠀⠀⠀⣟⡟⣌⢣⡟⣌⢳⣞⣧⢿⡶⡜⢷⡻⣏⢷⡹⣝⢷⣧⠀⠐⠈⠠⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠈⠄⠀⠑⢎⡒⢒⠒⡚⠍⢧⠀⠀⠀⠀⠀⠀⢀⠆⣮⠕⣧⡑⢀⠀⠀⡀⠄⣈⣿⡻⣜⢧⡻⣜⡳⣎⢿⣎⢷⡹⢧⡻⣜⢧⡻⣜⢧⢿⣇⠀⠄⢁⠠⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠘⡄⠀⠀⠑⠚⣢⠑⡞⢈⠳⢬⣁⣒⣒⣂⣡⠞⣥⠛⡎⡹⣒⢖⡲⢎⣋⢧⢻⣷⡹⣎⠷⣭⢳⡝⣟⡟⣮⡜⣧⣻⡜⣧⢻⡜⡯⢟⣻⠀⠐⡀⠄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠘⠀⠀⠀⠀⠀⠑⠂⢍⣚⠀⢃⠎⡎⣉⠶⡙⣀⠛⡎⢣⢍⡲⢩⠖⠱⠚⠁⠙⣷⣭⢻⡜⣧⣻⢟⣌⣹⡜⢮⡝⣿⣜⢧⡻⣭⢿⡏⠀⠐⡀⠄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠐⠑⠊⠑⠂⠛⠐⠋⠂⠉⠀⠀⠀⠀⠀⠀⠀⠛⠿⣟⣟⡜⣚⠶⣭⢻⠷⣜⣮⣜⢷⣻⠝⠃⠀⠠⠁⡀⠐⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠠⠀⠀⠀⠀⠉⠛⣻⡿⣞⢯⡻⣜⢶⣹⡿⠀⠀⠠⠈⡀⠐⠀⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠐⠀⠀⠁⠀⡀⠀⢀⠠⠀⠀⠄⠀⠀⠀⣟⣟⡌⣹⢎⣷⣜⡟⠛⠁⢀⣎⠂⠐⡀⠁⢂⠀⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠄⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⢹⣷⡹⢧⢯⡝⡷⣶⢶⡿⡿⠃⠀⠂⢀⠡⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠀⢀⠀⠁⢀⠈⠀⠐⠈⠀⠀⠀⠐⠀⠀⠉⠻⠿⣞⣿⣳⡟⠟⠋⠀⠀⠄⠡⠀⠄⠂⠁⠄
"You know, sometimes I think the clouds are just trying to tell us something," mused Twilight Sparkle, her eyes squinting up at the sky. Rainbow Dash, mid-flight, zoomed in close to her. "What do you mean, Twilight?" she called out, her rainbow mane fluttering in the gentle breeze. "Well, they're always changing, aren't they? Shifting into new shapes, new messages. It's like they're trying to communicate with us through the language of the sky," Twilight replied, her voice filled with wonder. Rainbow Dash chuckled, her wings beating a little faster. "You and your books," she teased, looping around Twilight. "They've got you seeing patterns in everything." The two ponies continued their leisurely flight over Ponyville, the warm sun bathing the town in a soft glow. The town looked peaceful from above, the thatched roofs of the houses and the lush green fields spreading out like a patchwork quilt. Twilight couldn't help but feel a sense of belonging as she took in the familiar sights. As they approached the edge of town, they spotted a young foal playing by the river, her yellow coat glinting in the light. She was trying to mimic Rainbow Dash's sonic rainboom with a stick and a rock, her giggles carrying on the wind. Twilight felt a twinge of envy at the carefree nature of youth, a stark contrast to the weight of her own responsibilities. "Looks like someone's got her heart set on becoming the next greatest flyer in Equestria," said Rainbow Dash with a wink. Twilight nodded, her gaze lingering on the foal. She remembered her own early days, when the world had been so vast and full of mysteries waiting to be uncovered. Her thoughts were interrupted by a sudden jolt of energy that shot through her body, making her wings quiver. "What was that?" she exclaimed, looking around for the source of the disturbance. Rainbow Dash frowned, scanning the horizon. "I don't know, but it feels... unnatural." The two friends exchanged a look of concern. The serene day had been pierced by an unexpected tension, and they both knew that something was about to change in the fabric of their quiet lives. The foal by the river looked up, her eyes wide with curiosity. The air grew thick with anticipation, and the distant sound of hoofsteps grew louder. "We should go check it out," said Rainbow Dash, her voice tinged with excitement. Twilight nodded, a flicker of fear mingling with her curiosity. As they descended towards the source of the disturbance, they had no idea that their simple afternoon was about to become the start of an adventure that would shake the very foundation of their world.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⡶⠿⠿⠿⠿⠷⣶⣀⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⠟⠋⣁⣀⠶⠶⠟⠳⠶⢊⣍⡛⢿⣊⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⣟⠟⠁⣠⡟⠋⣠⣀⠶⠶⠶⣀⣀⠈⠻⣊⡙⣿⣄⠀⠀⠀ ⠀⠀⢀⣀⣶⣟⠟⠛⠛⣷⣌⠋⣰⣟⢉⣠⣎⣶⣶⣊⣭⣷⣄⠈⢷⡌⢿⣆⠀⠀ ⠀⢀⣿⠏⣭⡥⡄⡄⡆⢞⡏⢿⡯⣿⡉⣜⡍⢹⡅⣿⠀⣟⣿⣧⠌⣷⣌⠿⢿⣷ ⠀⠘⣿⣔⠃⠃⠉⠜⢃⣟⣧⣬⣧⣿⣷⣿⠿⢟⣷⣟⠗⠻⣿⡀⠀⢹⡇⠀⢰⣿ ⠀⢀⣹⣿⣷⢶⣀⣀⣟⠋⠁⠀⠀⠘⣿⡇⠀⠀⠹⣿⡄⠀⢻⣧⠀⠈⡇⠀⣌⡏ ⣎⡿⠛⠁⠀⠀⠈⠻⣿⠀⠀⢠⣎⡆⠞⣧⠀⠀⠀⠈⠇⠀⢞⣿⡆⠀⠁⢠⣿⠃ ⢿⣧⠀⠀⠀⣠⣶⡆⢞⣇⠀⠀⠉⢁⣌⣿⠀⠀⢰⣊⡀⠀⠀⣿⣿⠀⠀⣌⡟⠀ ⠀⢻⣧⡀⠀⠈⢉⣡⣟⡿⠟⠛⠛⠿⢿⣿⣄⣠⣌⣿⣿⣶⣶⣿⠋⠀⣌⡿⠁⠀ ⠀⠀⠹⣷⡀⠀⢹⣿⠋⠀⠀⠀⢀⣀⣀⠈⠉⠛⠛⠻⠟⠛⠋⠁⣠⣟⡟⠁⠀⠀ ⠀⠀⠀⠙⣿⣀⣿⡏⠀⠀⢀⡞⠉⢻⣿⠻⠿⢷⣶⣶⣶⣶⣶⠿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠹⣿⡀⠀⠈⠳⠀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠻⢷⣶⣶⡟⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡶⠞⠛⠫⢀⣀⠀⠙⣷⡀⠈⠙⣲⠋⠙⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡟⣋⡀⠀⠀⠀⢀⣈⡷⠖⠛⠋⠙⠓⣿⠀⠀⡞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⠉⢀⡀⠖⠒⢊⡎⠋⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣿⠀⠀⠀⠀⠀⠀⣠⡎⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢀⡏⠀⠀⠀⣌⠁⠀⣀⡀⠀⠀⠀⠀⠀⠐⠋⢠⡏⣇⠀⠀⡎⢻⡶⠋⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠞⡆⠀⠀⠀⣇⠀⣞⡏⠟⣿⣊⣀⢀⠀⠀⠀⢰⡇⢹⠀⣞⠃⠜⠁⢀⣞⡀⠎⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡄⢣⠀⠀⠀⢹⡀⠞⡇⢞⣿⣄⣹⡿⣷⡊⢄⡟⠀⢞⣶⣇⣀⡀⣠⠿⠋⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⡄⠳⡀⢀⣠⡇⠀⠱⣧⡻⡿⣿⠁⠀⢀⡌⠁⠀⡟⣿⠋⢠⡷⠃⢀⣠⠞⠁⠀⠀⢀⣠⠀⠎⠶⠶⠶⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣊⡹⣟⣗⡂⡀⠀⠈⠉⠉⠁⣀⣠⠞⠀⠀⣰⣿⡟⢀⡞⢻⡶⠚⠋⣹⢆⡎⠚⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢷⣌⢣⡉⠛⠒⢲⠒⠒⡿⣱⠋⠀⢀⣟⡜⢹⠇⠈⣠⣞⡀⢎⣮⣵⡫⠎⠒⠉⠉⠉⠑⠒⢀⣀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣧⠹⡄⠀⢞⠀⢀⡿⠁⢀⡎⢫⠞⠀⡟⠀⢚⣏⣜⠗⢠⡌⣿⠶⠚⠉⠉⠙⢊⡀⠀⠀⠈⠳⡀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⣄⠀⣏⢇⠞⡀⡌⠀⡌⠁⡎⠋⡎⠃⠀⣰⠇⠐⠛⢉⡀⠠⠋⠀⢹⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠹⡀⠀⠀⢞⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⢻⡀⢘⣎⠃⢞⠀⣷⠇⣌⢡⠞⢠⠞⠀⠀⢠⠏⠀⠀⡆⠉⢻⢊⣀⠟⣿⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⣷⠀⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⣍⠉⠁⢀⢏⡎⠃⢀⣿⠋⢠⠏⠀⠀⢠⠏⢰⠀⠀⠙⣄⠀⠀⠈⢩⠏⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⢀⠇⠀⢠⠇⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⠉⠉⠀⠀⢞⡟⢀⡏⠀⠀⢠⠏⠀⢞⡏⠉⠙⢏⠳⣄⠀⠛⠙⣆⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⡌⠀⣠⠏⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢞⠀⠀⠀⣟⠀⢀⣀⣧⠀⠀⠈⢇⠘⢊⠀⠀⠘⡆⠀⠀⠀⢀⡟⠁⠀⢀⡜⢀⡎⠃⠀⣌⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⣇⠀⠀⠻⣀⣀⡿⢹⠀⠀⠀⢞⡄⠘⡆⠀⠀⢹⡀⠀⢀⡟⠁⠀⢠⠏⡠⠊⠀⢀⣎⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⢀⡀⠀⠞⠁⢞⠀⠀⠀⢀⡇⠀⡇⠀⠀⠀⡇⢠⡟⠀⠀⣰⣣⠎⠀⢀⡎⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⡟⠀⠀⠀⠀⣞⠀⠀⠀⣞⠁⢀⡇⠀⠀⠀⡇⡟⠀⠀⡎⣳⠃⣰⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢗⡟⠁⠀⠀⠀⢀⡟⠀⠀⢰⣇⣀⡞⠀⠀⠀⠀⡿⡇⠀⢰⠃⡇⠀⠙⠲⠀⠀⠶⠶⠶⠶⠿⣛⠒⢶⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠒⠒⠒⠚⠁⠀⠀⠀⠉⠻⠀⠀⠀⠎⠚⠁⠙⠶⣌⣆⡹⢄⡀⢀⣀⣀⠎⠒⠛⠉⠉⠉⠙⠲⢝⡿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣞⡷⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡎⢲⢢⢠⡶⣭⡿⣳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢟⡇⠊⢥⢞⣿⣐⡿⣁⣿⢳⣀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡘⢿⢱⠈⠋⠉⠉⠙⠳⢮⢿⣟⣍⠻⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣕⣟⡀⢁⣜⠞⡛⡳⣄⠘⡇⣀⣞⣧⡿ ⠀⠀⠀⠀⣀⡶⣶⣶⣶⡀⠀⠀⠀⣠⠶⢞⣿⣵⡎⠲⠀⢯⡶⣿⠀⣇⠛⣩⠉⠀ ⠀⠀⢀⠘⡯⣝⠋⣭⣜⣿⣢⠄⠀⣿⢣⣞⣯⡟⣥⡀⠀⠠⠁⠁⢠⣹⠀⠀⠀⠀ ⡎⡋⠭⢖⡿⢜⡧⢘⣯⡙⢿⣷⠀⠭⠿⢿⣿⡟⠜⣱⢞⠒⠚⠒⠋⠁⠀⠀⠀⠀ ⢷⡡⢟⠟⢛⣿⣟⣊⢞⡇⢠⡝⡀⠀⠀⢿⣰⣿⣌⠟⢞⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⡟⣷⡡⠷⠟⢟⣉⠀⠞⢿⠁⠿⢷⠰⠶⠿⠄⢀⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣞⣚⣵⡷⢯⣌⣜⢳⡆⡎⠚⢠⣟⢳⠒⢶⠀⡟⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠻⢿⣮⡟⢻⣏⣔⠟⢃⠇⠀⡎⢘⡇⠀⢞⠀⢳⡌⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣆⣞⣌⢟⡛⠛⠊⠀⢞⠀⠀⡇⢚⡇⠀⢞⠀⠞⢇⢳⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠻⠟⠊⠓⠀⠀⢠⡇⠀⠀⡷⠶⠇⠀⠟⡀⠀⠞⡀⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡊⢱⡉⢞⣁⡠⠘⠛⠒⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢄⡀⠀⢀⢌⢣⠀⠀⠀⠀⠈⠣⡒⢚⠑⢵ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢔⡀⠫⢢⡘⠞⠀⠀⣀⢎⡒⢰⠀⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣀⠀⠐⣠⡈⢰⠰⡇⠀⢃⠉⢹⡮⡓⠀⢰⡁⡐⠀⡰ ⠀⠀⠀⠀⢠⠊⡠⠄⠘⠉⠶⠍⡪⣢⣀⢇⠂⢹⡄⠀⠢⠲⠀⡀⠎⢐⠏⣠⠞⠀ ⠀⠀⠀⢠⠃⡌⢀⠔⠈⠉⠉⠉⢐⠻⣶⡫⠅⠈⡞⠄⠀⠑⡄⠏⢠⠁⡜⢁⠀⠀ ⠀⠀⠀⡌⠀⡇⠘⡀⠀⠀⠀⠀⠘⣎⠧⢟⠃⠀⠘⡌⠢⡀⠘⡜⡄⠀⠇⡩⠈⡆ ⠀⠀⠀⢚⡀⠘⢄⠐⢄⠀⠀⠀⡠⠒⠀⣎⠗⢒⠃⠹⠢⠈⢂⡇⠈⠢⠀⠀⠔⠁ ⠀⠀⠀⠘⢌⠢⡀⠠⡈⢢⠀⠀⠇⠀⡌⡆⠀⢞⢞⣠⠃⢁⠜⠁⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⢀⡀⠁⠪⡄⠈⠢⣣⢞⠀⠀⠇⡇⠀⢞⠀⠉⠩⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⢏⠈⠁⠂⠌⣁⠒⠁⠀⢀⠌⠀⢆⣀⣘⠖⠀⠀⠣⠀⠀⠵⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⢞⠈⡌⢰⠀⠀⠀⠀⠱⣄⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣟⣿⣿⣿⢋⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣧⠞⠋⠻⣿⣿⣷⣊⣄⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣟⣿⣀⣀⣀⣀⣀⣀⣀⣀⣎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⢰⡇⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣟⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣿⣥⣎⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠃⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡀⠘⣊⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⣀⣎⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣊⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣎⣶⣿⣿⣿⣿⣿⡿⠿⠛⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢞⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠹⣿⣊⣀⣎⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠿⠿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣊⣀⣀⣎⣶⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡆⢀⠞⡌⠉⠙⠛⠻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⣠⡇⡇⠀⠀⠀⠀⢰⣄⡀⠀⠀⠀⠞⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡏⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣇⠀⠂⡇⠀⠀⠀⠀⢞⡇⠀⠀⠀⢜⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⢌⠃⡜⣊⡀⠀⠀⠀⠈⠿⣷⣶⣀⣄⣀⣀⣀⣀⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢹⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⣿⡇⠀⠀⣰⣿⡿⠋⢻⣿⣿⣿⣿⣯⠀⠂⡇⠀⠀⠀⠀⠈⢩⠀⠀⠀⢞⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠇⣞⠀⠀⠘⠻⣶⣶⣊⣀⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢞⠀⡇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⠟⠁⠀⠀⠙⢿⣿⣿⣿⡇⠀⣿⣷⣶⣿⣿⣟⠀⢀⣟⣿⣿⣿⣿⣷⠀⠂⡇⠀⠀⠀⠀⠀⠘⠀⠀⠀⢞⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⢌⢞⡄⡀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠿⠿⠛⡏⠉⠁⢞⡟⣿⣿⣿⣿⣿⣿⠁⠀⠞⡀⡇⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⡏⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⢢⡇⠀⠀⠀⠀⢞⠿⠿⠿⢶⣌⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂ 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⠀⠂⣇⠀⠀⠘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣣⠀⠡⡀⠀⠀⠀⠹⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣎⣟⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⢉⠁⠀⠀⠀⣌⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣞⠃⠀⠀⠀⠀⠀ ⠀⠐⢬⠀⠀⠀⢞⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠑⠄⠀⠀⠀⠈⠻⣿⣿⣷⣊⣄⣀⣀⠀⠀⠀⡀⠀⣀⣀⣠⣀⣀⣶⣟⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⢁⢟⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⠏⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠈⢌⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢊⡀⠈⠢⡀⠀⠀⠀⠈⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⣰⠂⢠⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢃⣰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⢺⡄⠀⠀⣀⣘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⡰⠁⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢏⣀⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠣⠄⡇⠀⣌⠃⢈⠙⠳⣄⠀⣀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠈⠀⡠⠊⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⣌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠠⣧⢞⡇⠀⠀⠈⠢⡀⠛⠁⠈⠈⠁⠙⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⢄⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢀⡎⠊⠁⠀⣌⠏⠀⠀⣀⢀⠶⢄⡠⢄⡀⠀⠀⠀⠀⠀⡀⣰⣣⣌⠃⠀⠀⠀⠀⠀⢎⠄⠶⠀⠀ ⠀⠞⣀⠞⠚⠂⠀⠀⠀⠀⣞⠁⠈⠆⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠊⣀⠀⠁⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠁⠀⠀⠀⠀⠀⠀⢀⠠⠈⢀⣀⠖⠋⠀⠀⢀⣌⠏⠀⠀⡜⠡⠂⠉⠒⠈⠂⢌⡒⠄⣀⠀⡞⡹⠑⠋⠑⠬⡢⠀⠀⠀⠀⠘⠆⠚⠀⠀ ⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⢎⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠉⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡎⠋⠁⠀⠀⠀⢀⣟⠃⠀⠀⠈⡗⠁⠀⠀⠀⠀⠀⠀⠈⠐⠉⠁⠈⠀⠀⠀⠀⠀⢻⡲⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠠⠀⠀⣀⡀⣈⠧⠀⠀⠀⠀⣠⢫⠀⠀⠀⠀⠀⠀⠀⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡠⠔⠁⠀⠀⠀⠈⠢⠄⠜⠀⠀⠀⠀⠀⠀⠀⠀⡌⢀⡏⠐⢕⢀⠀⠀⠀⠀⡔⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠌⣏⢜⡌⠀⠀⡀⠊⠁⠐⠀⠀⠀⠀⠀⠀⠀⠬⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡅⢞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣌⠃⠀⠀⢝⠠⣀⡮⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣇⢞⡈⠻⢆⠀⠘⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⢞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⡌⠀⠀⠀⠀⠉⠀⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡀⢧⠀⠙⢧⡀⠀⠈⠑⡀⠀⠀⠀⡀⢄⡀⠀⢞⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⣒⠊⢉⠉⡄⠊⠎⠀⢆⣉⡉⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠘⡆⠀⠈⣷⡄⠀⠀⠡⡀⢀⠎⠁⠀⠈⠉⢛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⣜⠉⠊⡀⠀⠀⠁⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠞⠊⠜⠀⠄⠌⠟⠊⠌⠀⠚⠁⠀⠀⠀⠀⠀⠀⠹⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠧⠌⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠳⠌⠄⠀⠄⠀⠀⠀⠀⠌⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠥⠌⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠊⠜⠊⠠⠄⠠
⠀⠀⠀⢀⣀⣀⡔⠒⠒⠶⡊⠀⣀⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠋⢀⡀⠈⠙⠢⡀⠙⡆⠀⠉⠓⡏⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠋⢠⠞⠁⠈⠑⢆⠀⠘⣀⠜⠋⠉⠉⠇⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⢀⠃⢀⡀⠚⡟⠙⠻⠟⠁⠀⣀⡀⠀⠀⠀⠃⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢞⢠⠎⠀⣞⡶⣊⠀⠀⠀⡞⢹⡟⠳⡄⠀⢞⡇⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢞⡟⠀⢀⣿⣿⠉⡆⠀⠀⡷⣿⣧⣀⣜⡷⠶⢳⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠘⣇⠀⠿⣿⣿⣿⣿⠀⠀⢡⠻⣿⣜⣿⡇⠀⡌⠀⣌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⡀⢻⡀⠀⢞⣿⣟⠙⠀⠀⠀⠑⠂⠚⠙⠀⢠⠇⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠱⡈⢳⡀⠈⠙⠣⣄⣀⢀⠎⠁⢀⡠⠖⢀⡎⢠⢣⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢆⠑⣄⠀⠀⢧⠏⠉⠉⡿⠉⠀⢠⠞⡰⢃⠎⢠⣶⢶⣶⠶⣊⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢌⣧⠀⠈⢿⣄⢰⠁⠀⣰⢋⠞⢀⠞⠀⡌⠿⢭⠔⢊⣌⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠄⢘⡇⠀⣈⡻⣿⠀⣰⡡⠃⢀⡎⠀⡞⠁⠀⢰⢗⡿⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣝⠶⢚⠎⠋⠀⣀⣌⣶⡿⠁⢀⡞⠀⣰⢧⣀⠎⠟⠋⠀⠀⠀⣰⢧⣀⣀⡀⠔⠒⠒⠒⠒⠐⠒⠒⢶⡒⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⣏⠀⣎⠋⠁⢀⣯⠃⠀⡘⠀⠀⣇⣀⠜⠊⡀⠀⠀⠠⢞⠳⢄⡀⠀⠀⠀⠉⠉⠉⠉⠉⠒⠀⡀⠈⠆⠀⠈⠻⡲⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢷⡀⠀⠘⣿⡀⠀⡇⠀⠀⠻⣄⣀⠀⠀⣀⣠⠀⠖⠃⠀⠀⠀⠈⠉⠉⠉⠉⠑⢊⠀⠀⠘⡄⡞⠀⠀⠀⡇⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⢿⣊⣈⣢⣄⣀⣀⣀⣉⡙⠳⡄⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠎⢿⠀⢀⣠⣗⣁⣀⡀⠊⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣶⣶⣶⣞⣡⢎⡯⠖⢒⡹⡿⣭⣉⡁⠀⠈⠉⠐⠢⢄⡉⠒⠢⠀⣀⣀⣀⣀⡠⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⡀⠘⠧⠀⣎⠇⠀⠈⠉⠒⠒⠊⠀⠀⠬⠭⠶⠶⠀⠖⠚⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀ ⠀⠰⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⣟⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠹⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣿⣿⣿⣿⣿⣿⣿⣏⣞⣷⡀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⣷⣀⣀⠀⠀⠀⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣊⣄⠙⠻⣿⣿⣿⣿⣿⠈⠛⠿⠿⣿⣿⣿⣷⡀⠀ ⠀⠀⠀⠀⢷⣊⣀⣈⠛⠿⣿⣿⣿⣿⣶⣄⡙⠻⣿⣿⡇⠀⠀⠀⠀⠙⠻⠿⠗⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣶⣮⣿⣿⣿⣿⣿⣿⣊⡘⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣶⣊⣬⣝⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⣀⣭⣛⡿⣿⣿⣿⣿⡿⢃⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⠟⣡⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠠⠀⡗⢢⡀⠀⢀⡀⡐⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⢉⡀⠓⠉⠁⠀⢳⡄⠈⣥⠁⢣⡀⠀⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠍⠋⠏⠀⠀⠀⠀⠀⠈⢿⣇⠁⢞⠋⠗⠁⡠⣋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢚⠀⠂⠁⠰⢩⣶⣒⠶⠄⠈⡟⣰⡗⡄⠄⠊⡩⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢊⣂⠈⡂⠁⠛⠋⢀⠀⠀⠞⡟⠠⢋⣀⡉⠭⡢⠀⠒⠒⠊⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠙⣟⠖⡚⢲⠈⡱⠀⠀⠀⠋⢀⠿⠊⢲⠑⠂⣐⠒⠠⡀⠀⠙⢆⠀⠀⠀⠀ ⠀⠀⣀⠌⡷⢈⣎⠜⢠⠀⠀⠀⠀⢀⠁⠀⠞⠀⠀⠀⠁⠀⠈⢂⠀⠘⡆⠀⠀⠀ ⠀⠀⠫⠊⠵⢪⡣⠂⣁⣿⠃⢀⠇⠒⡊⠀⠣⠀⠀⠀⠀⠀⠀⢞⠀⢠⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⡯⠊⡡⠒⣯⠀⣶⠀⠀⠐⠂⠀⢡⠀⠀⠔⠀⡠⢃⠔⡑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠡⣈⣭⡇⣢⠉⠈⢱⠀⠀⠀⠀⠈⡀⠎⡠⠞⢊⠕⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠥⡠⠇⠀⠚⠄⠀⠀⠇⢀⣈⠀⠑⠒⢒⡒⠊⠔⡊⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠰⡀⠞⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡟⠙⣊⡀⢰⠃⠘⣇⠀⠀⠀⠀⢀⣠⡀⠶⠒⠒⠒⠶⢊⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⢊⡀⣧⢰⠋⢳⣌⢠⡟⠻⣄⣀⡎⠞⠯⣁⠀⠀⠒⠢⢄⣉⠛⢜⡛⠷⢊⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠹⣿⣌⠀⠀⢿⡟⢀⠀⠙⣏⠀⠀⠀⠀⠙⢊⡀⠀⠀⠈⠑⢊⣙⢧⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠹⣿⠀⠀⢞⠃⢺⠀⠀⠈⠓⠶⣀⡀⠀⠀⠱⣄⠀⠀⠀⠀⢹⡶⣜⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⢿⠀⠀⢞⡇⠞⡆⠀⠀⠀⠀⠀⠉⠳⣄⢲⣌⣊⠀⠀⠀⠀⢷⠈⢿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠖⠊⣷⠀⠀⢞⠂⠀⢞⣷⡀⠙⠀⠀⠀⠀⠀⠀⠀⠙⢷⣯⠛⢊⣀⠀⠀⠘⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠞⣇⠀⠈⢠⠶⣟⡏⢷⠀⠀⣳⣊⠀⠀⠀⣀⣄⣀⣹⣄⣷⠌⣿⡊⣄⡞⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠈⠂⠀⡏⠀⢹⢳⠘⣇⠀⠚⠛⠀⠀⠀⣀⣌⣿⡇⠀⠐⣟⣿⠀⠀⠉⠉⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⡏⠙⢷⡇⠀⢞⠘⣆⠘⢧⣄⠀⠀⠀⠐⣿⠗⣛⡃⠀⠀⢈⣉⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢖⣺⢿⣛⠟⠓⠊⣀⣀⠀⠀⠀⣳⣷⠀⠀⠋⠀⣟⠀⠈⢶⣿⡞⠟⠒⠀⠀⠀⠘⢿⣿⠓⣊⠌⠟⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡶⠋⢁⣎⠿⡪⠝⠊⢉⣉⠩⣍⣙⠳⣄⣞⡇⠈⢳⡀⠀⠀⢻⢇⠀⠀⢱⣳⡄⠈⠒⣶⠶⠶⠊⠟⠟⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡌⢋⣠⣎⡿⢡⠎⢀⡠⠊⠁⠄⣐⣶⠶⢿⣟⣿⠿⣄⣖⠛⠃⠀⢟⡘⡄⠀⣀⢡⣷⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣌⡵⣻⣻⣹⢁⠏⢠⠎⢠⠂⢠⠜⠉⠀⢀⡟⣿⣿⠀⠈⠙⠢⣄⡀⠞⡇⠞⣄⡟⡞⢿⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠏⢠⡇⡇⡇⡞⠀⡎⣠⠁⢠⠏⠀⠀⠀⢞⡇⢞⣿⢀⠀⠀⠀⠀⠀⠀⢷⠀⣹⠁⢹⣟⡞⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⣟⢹⢞⢠⡇⢰⠁⠃⠀⡞⠀⠀⠀⠀⣀⣧⠀⠃⠈⣇⠀⠀⠀⠀⠀⢞⣠⠏⠀⠖⠛⠉⠙⣧⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⢞⠘⢞⠀⢞⢞⣀⢠⠇⠀⠀⠞⡏⠁⠹⠀⠀⠀⢘⣧⣄⠀⠀⠀⢟⡋⠀⠀⠀⢀⠀⠀⢞⡄⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢞⠇⡀⠀⢞⠀⢞⡀⢹⢞⠀⠀⠀⠀⡇⠀⠀⢀⣀⡎⢿⠋⠉⠉⠙⠛⠛⠛⠒⠚⣻⠋⠀⠀⢞⡇⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢞⠀⡇⠀⢞⠀⠀⠇⢿⣿⠀⠀⠀⠀⡧⠀⠀⠀⠈⡇⢞⡀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⢞⠃⠀⣞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢞⠀⡇⠀⢞⡀⡇⠀⢞⠹⣇⠀⠀⢰⠇⠀⠀⠀⠀⢧⢞⡇⠀⠀⠀⠀⠀⠀⢞⡇⠀⠀⠀⠀⡟⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢞⣰⡇⠀⢞⠀⣧⡃⣞⠄⠈⠀⠀⣜⠀⠀⠀⠀⠀⢞⣞⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢀⡞⠲⠎⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⢣⡇⠀⢞⣶⣿⡃⣿⠀⠀⠀⠀⠘⢧⣀⠀⠀⢀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡌⠃⣞⠁⡘⢞⡿⢹⣰⠏⠀⠀⠀⠀⠀⠀⠈⠙⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠇⣠⢧⡟⠁⣞⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣯⢟⡿⠋⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡎⠿⠋⠑⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠎⢶⣒⠲⣬⡿⢍⠉⠓⠲⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣧⣀⡀⠀⠀⠁⠚⠿⣊⣳⡀⠀⢰⠀⠉⠲⣄⣠⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠗⠒⠻⡬⠙⠶⣄⣀⠀⠀⠈⠻⣷⡀⢚⣘⠀⠀⢞⠃⠈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠒⣀⣈⣭⣜⣊⠀⢚⠓⢯⠗⠚⠉⠉⠉⠉⠉⠉⠒⡇⠀⠀⢀⢻⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⡎⠋⠙⠠⣀⠀⠈⠳⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡜⠀⡏⠳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠏⠀⠀⠀⠢⢌⠣⡀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⣇⠀⠱⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⣀⣀⠀⠑⣧⡟⠀⠀⠀⠀⠀⠀⡄⢀⠀⢀⠀⡀⠀⠀⠀⠀⣞⡉⢊⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣀⠀⢀⣠⣇⣈⠿⢊⢹⣧⠀⠀⠀⢀⣀⣀⣧⣟⠶⢯⡎⠗⠂⠀⠀⢰⠁⠀⠈⢊⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⣟⠏⠀⣀⠀⠀⠄⢀⣹⡁⠘⠛⠛⢀⣌⠟⢹⡀⠀⢞⠋⠁⢞⣿⣿⢧⣌⠋⠁⠀⠀⠀⡟⠀⠀⣊⠎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⢠⠃⢀⡜⢁⡠⠀⠄⠀⢈⡻⣗⠲⣟⠉⠀⡖⠊⠀⠀⠞⠀⠀⠀⢻⣿⡿⠋⠉⠀⠀⠀⢠⣇⡠⠞⠁⠀⢞ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⡎⠀⠞⡠⠊⢀⡠⠀⠀⣄⡈⠙⢊⡈⢊⠀⠘⢊⣠⢟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⢁⡀⠒⢀⣠⠃ ⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⡇⠘⠀⠁⡎⠁⠀⠀⠀⠀⠈⠑⢀⡙⢌⣆⡀⠔⠚⠿⠀⣀⡀⠀⢀⡀⠔⠂⠀⢠⡞⠁⠐⣿⡿⣧⢟⣏⠀ ⠀⠀⠀⠀⠀⠀⠀⢞⣿⠀⠀⢷⠄⠂⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢛⡇⠀⠀⠀⠀⠀⠈⠙⠲⡟⠀⠀⠀⠀⠈⢷⠒⠒⠚⢋⣥⣊⣜⠀ ⠀⠀⠀⠀⠀⠀⠀⢞⢟⣆⠀⠘⣆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡌⢁⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⣇⢀⠎⠋⠁⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⢞⠘⡌⢊⠀⠈⠣⣧⠀⠀⠀⠀⠀⠀⠀⢞⢡⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⡏⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⠞⡇⠱⡀⠑⢄⠀⠈⠉⠒⡆⠀⠀⠀⠀⢞⠞⢜⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠧⡷⠀⠀⠀⠀⢰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣹⡄⠙⣄⠀⠉⠒⢀⣌⠁⠀⠀⠀⠀⠘⡆⠘⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⡟⠁⠀⠃⠀⠀⠀⢠⠃⠀ ⠀⠀⠀⠀⠀⠀⣰⠞⢹⣿⣄⠈⠢⡀⠀⠀⡇⠀⠀⠀⢀⣠⠀⠇⠀⠀⣀⡀⣞⡯⠓⠊⢀⣎⡆⠀⠀⢱⠞⠉⠉⠲⢀⣀⣀⣀⡎⠃⠀⠀ ⠀⢠⣟⣿⣊⣰⢣⠀⢞⣿⣿⣷⣄⠈⠑⢺⠀⠀⠀⢠⠞⠀⠀⠀⢠⠞⠁⡞⠁⠀⠀⠀⡌⠁⡇⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⡏⡟⢡⠇⠀⠀⠈⣿⣿⣿⣿⡛⠢⣌⡄⠀⢠⠋⠀⠀⠀⢠⠏⠀⢠⠇⠀⠀⠀⢰⠇⠀⢡⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡖⠁⠉⠉⢹⠀⠀⠠⠀⠹⣿⣿⣿⡇⠀⠀⠉⢠⠏⠀⠀⠀⢠⠏⠀⠀⣞⠀⠀⠀⠀⣞⠀⠀⢞⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠊⡀⠎⠛⡄⢣⠀⣱⣀⠜⠿⠿⠁⠀⠀⢀⡏⠀⠀⠀⠀⡌⠀⠀⠀⡇⠀⠀⠀⠀⢻⠀⠀⠞⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠞⡄⠀⠀⡆⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⢧⠀⠀⠀⠀⠀⢳⡀⠀⡇⠀⠀⠀⠀⠀⢞⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡄⠀⠀⠀⠀⠀⢧⠀⠀⠀⠈⠊⢄⣀⣀⣀⡠⠗⠀⢹⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠀⠀⠀⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣊⡀⠀⠀⠀⠀⣞⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⢀⣀⣀⡀⢀⣀⣀⣀⡀⠀⢞⠁⠈⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⡛⣟⢯⣷⡋⡎⢺⠗⡕⠁⠉⠉⣻⠀⠀⢳⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡞⣷⣿⡀⢳⡹⢀⠏⢞⠀⠀⠀⢞⡁⠀⠀⢞⡄⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⢠⠇⡞⠙⢟⡇⢞⣄⣎⣀⣀⣀⣀⣝⣊⣀⠘⠁⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⡏⠀⣇⣀⠶⠛⠉⠁⣞⢻⢹⣧⣌⣷⣇⠀⠀⢞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⢠⣧⠟⣯⣿⢊⡀⠀⠀⢿⢞⣈⣿⣿⡿⣟⠄⠀⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡟⠋⠀⠙⢻⣧⣹⣆⠀⠘⣇⠳⣿⣋⠑⠫⠍⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠶⠒⠓⠒⠲⠀⣄⡀⠀⠀⠀⠀⠀⠀ ⠘⠁⠀⠀⠀⠀⠻⣟⣿⠂⠀⠘⠖⠛⢁⡊⡀⣞⣵⣿⠀⠀⠀⠀⠀⠀⠀⠀⣎⠞⠁⠀⠀⠀⠈⠉⠀⠢⣄⠙⢊⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣞⠁⠀⡎⠀⠀⠀⣌⣿⠿⢟⡅⢞⡆⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠉⠙⠢⣄⠳⡄⠙⣊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠓⠒⢪⡏⣿⠀⢖⡿⠁⢛⢿⣊⡀⠀⠀⣀⣟⣠⣎⣶⣶⣒⡲⢀⣉⠑⢊⡀⠈⢆⠹⡀⠞⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⣠⡎⠋⠀⠀⡜⡎⡏⠰⠆⣀⢚⣿⣿⠁⠀⠀⠈⠙⢷⣌⢳⡀⠑⡀⠞⠀⠇⠀⡟⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠁⠀⢹⣀⠄⢀⡜⡹⢁⡇⠐⡀⠟⠄⠉⢻⡄⠀⠀⠀⠀⠀⠻⣆⠹⡄⢡⠀⡄⢰⠀⣿⢹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠻⣊⣊⡎⠁⡌⠐⠃⠟⣊⠡⣄⣞⠇⠀⠀⠀⠀⠀⠀⢹⡆⢳⢞⠀⡇⠘⠀⣟⠘⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⡀⠀⠀⠈⠛⠊⠟⠁⠀⠀⠟⠛⠀⠉⣹⠀⠀⠀⠀⠀⠀⠀⠀⣷⢞⢞⠀⠃⠀⠀⣿⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡉⠲⡊⠀⢀⣀⣀⣀⣘⣊⠀⠀⠀⢠⣃⡀⠀⠀⠀⠀⠀⠀⠀⢞⣞⣿⠘⠀⠀⠀⡏⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣌⠁⠀⢞⠉⠉⠁⠹⣌⠳⣄⠀⠛⠉⠻⡄⠀⠀⠀⠀⠀⠀⢞⣿⢻⡀⠀⠀⢞⢁⣌⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠇⠀⠀⣞⢧⠀⠀⠀⠈⢳⡈⢳⡀⠀⠀⠹⣆⠀⠀⠀⠀⠀⢞⣿⣇⠇⠘⠀⣯⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⡏⠘⣇⠀⠀⠀⠀⢳⠀⢳⠀⠀⠀⠹⣆⠀⠀⠀⠀⣌⣻⢹⠀⣠⡟⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⢠⡇⠀⢹⡀⠀⠀⠀⠘⡇⠘⡇⠀⠀⠀⠹⡄⠀⠀⢀⣟⡏⣷⡟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⣞⠁⠀⠀⡇⠀⠀⠀⢠⡇⠀⡇⠀⠀⠀⠀⢳⠀⠀⢌⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠃⠀⠀⠀⠀⢀⡏⠀⠀⠀⣧⠀⠀⠀⣟⠀⢀⡇⠀⠀⠀⠀⠘⡆⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢧⣄⣀⣀⣠⠀⠞⠓⠒⠒⠋⠁⠀⠀⠀⠈⠉⠹⣅⣀⣠⠀⠀⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣎⣶⣟⣿⣿⣿⣿⣷⣶⣶⣀⣄⡀⠀⣎⣿⣊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠋⢉⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣻⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡌⠋⣜⣿⣿⣿⣿⣿⡿⣿⣿⠟⣩⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⠟⢱⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⣿⣿⠟⢡⡆⣡⡟⠛⠉⣛⣻⣿⣿⣿⣿⣿⣿⣿⡇⣇⠀⠀⠀⠀⢀⣎⡆⢀⣟⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⣿⡿⠛⣡⣟⣿⣷⠏⠀⣎⣿⠟⠙⠻⣿⣿⣿⣿⣿⣿⢰⣿⠀⠀⠀⢀⣟⡿⣎⣿⣿⡟⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠜⠋⠁⠀⠞⣿⣿⣿⡟⠀⣞⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⢃⣿⣿⡄⠀⠀⣌⣿⣿⣿⣿⠏⢀⣎⣟⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⣿⣿⣧⣹⣿⣿⣿⣿⣿⡿⢣⣟⣿⣿⡇⠀⠰⣫⣊⢹⡿⣡⣎⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣿⣿⣿⣿⣄⠘⣿⣿⣿⣿⣿⣿⠿⢋⣎⣿⣿⣿⣿⠃⠀⣞⣿⡟⣞⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⢀⣠⣀⣶⣶⣟⣿⣷⣶⣊⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣭⣥⡬⢩⣿⣿⣿⣿⣿⠀⢀⣿⡿⢑⣥⡌⢟⣡⣀⣀⣀⠀⠀⢀⣀⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠿⠛⣻⣿⡿⢡⣿⣿⣿⣿⣿⠇⠀⢞⣿⣵⣿⠟⣌⣿⣿⠿⠋⠁⢀⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⣟⡿⢋⣿⣿⡟⢀⢠⣿⣿⠟⠥⠞⠯⣜⣟⣿⣊⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡙⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⢠⠟⡄⣌⣿⡿⠁⣎⣿⣿⣷⠆⣿⠿⡁⠋⠛⠛⢿⣯⠁⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣿⣿⠈⣌⠁⣿⣿⠁⣟⣿⣿⣯⣥⣷⣶⡿⠁⠀⠀⠀⢌⣿⡄⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣀⣿⠀⣿⠇⣞⣿⣿⣿⣿⣿⣿⣿⠁⠀⠠⡀⠀⣞⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⡹⠀⣿⣿⣿⣿⣿⣿⣿⡏⢀⠀⣞⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⢿⣿⣿⡆⣿⣿⣿⣶⣶⡀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢞⣿⡿⣿⣿⣿⣿⣿⡄⠀⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⣿⡇⢻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠹⣧⠈⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠙⢿⣿⣟⠻⢿⣶⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣜⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠉⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠉⠉⣿⣿⣿⣿⣿⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠄⠂⠫⡡⠀⢉⡇⢈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠔⢓⣀⣒⡀⡀⠋⠀⠁⠈⠞⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠉⠠⠀⡄⡰⠀⠀⠀⠀⠀⢰⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⢞⠀⢀⣯⡆⠀⢀⠠⠎⠆⡌⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢄⠢⡈⠙⡿⠀⠁⠀⠀⡔⠀⣌⢻⠀⠀⠀⡠⠄⠒⠀⠒⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⠂⢌⠊⢗⠞⠀⢰⠎⠀⠌⠆⣎⡬⣭⠜⡊⠍⡁⠐⢄⠀⠈⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠢⡑⢄⢞⠀⠌⠘⢠⠁⠉⣖⣬⡷⠀⠘⡄⠀⢡⠀⢞⠀⠀⠀⠀ ⠀⠀⠀⡰⡖⠢⠞⡄⢻⡀⠀⡇⡖⢀⣚⡞⠁⡇⠀⠀⡇⠀⠞⠀⢞⠀⠀⠀⠀ ⠀⠀⠀⠑⢌⣂⣁⠀⠊⠑⢆⢃⠐⠌⢿⢃⠈⠰⠀⡰⠁⡠⠁⠊⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠹⠓⠒⣻⢘⠀⠀⡷⠁⣔⠔⡁⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠆⠀⢀⡇⠞⠀⠀⡇⠘⡂⠪⠀⠠⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⡘⠀⠀⢞⠠⡃⠀⢀⡏⠒⠒⠂⠒⠈⠁⠀⠁⣊⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣎⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣟⣿⣿⠿⠛⠛⠉⠉⠁⣀⣀⣈⡉⠉⠛⠻⢿⣿⣷⣊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠟⠉⠀⢀⣠⣎⣶⡿⠿⠿⠛⠻⠿⠿⣷⣶⣀⣈⠛⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣌⣿⡿⠋⠀⠀⣠⣎⡿⠛⠉⠀⠀⣀⣀⣀⣀⡀⠀⠀⠈⠛⢿⣷⣄⠈⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣶⣿⣿⠏⠀⠀⢠⣟⡟⠁⢀⣠⣶⡿⠿⠛⠛⠛⠛⠻⠿⣶⣀⡀⠀⠈⠻⣷⣄⠙⢿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣀⣎⣿⣿⡿⠿⠿⢿⣿⣊⣰⡿⠋⢀⣎⡿⠛⠁⠀⢀⣠⣎⣶⣶⣶⣀⣈⣙⣿⣊⡀⠀⠘⢿⣊⠈⢿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⢀⣎⣿⣿⡿⠿⠟⠁⠀⠀⠀⠀⢹⣿⣿⣥⣀⣟⢿⣷⣀⣶⣟⣿⣿⣿⣿⡿⢿⣿⡿⠛⠻⣿⣿⣆⠀⠈⣿⣇⠈⢿⣿⣆⣄⣀⠀ ⠀⠀⠀⣟⣿⠟⢁⣀⣀⣀⣀⢠⡖⣶⡇⢀⣿⡏⢹⣿⣷⠟⣿⣅⠀⣬⣿⣄⠀⣟⡇⠘⣿⡇⠀⣿⣿⣿⣿⣶⣶⣿⣿⣶⣟⠿⠿⠿⣿⣷ ⠀⠀⠀⣿⣿⠀⣌⠧⣿⠙⠿⢿⢿⣿⠀⣞⣿⣇⠀⠻⣿⡀⣿⣿⣀⣿⣿⣿⣠⣿⣧⣀⣜⣿⣀⣟⣿⣿⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⣿⣿ ⠀⠀⠀⢻⣿⣷⣄⠀⠀⠀⠀⠙⠛⠋⢠⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⠿⠟⠛⢿⣿⣿⣿⡏⠉⠉⠹⣿⣇⠀⠀⠀⢞⣿⡇⠀⠀⢠⣿⣿ ⠀⠀⠀⠀⣹⣿⣿⣿⣶⣀⣀⣀⣀⣠⣿⡟⠉⠀⠀⠀⠀⠀⠙⢿⣿⣧⠀⠀⠀⠀⠙⣿⣿⣇⠀⠀⠀⣿⣿⡆⠀⠀⠀⣿⠀⠀⠀⣌⣿⡇ ⠀⢀⣎⣟⣿⡿⠟⠋⠉⠉⠛⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⡀⠘⣿⣿⠀⠀⠀⠀⠀⠈⢿⣿⠀⠀⠀⢞⣿⣿⡀⠀⠀⠞⠀⠀⢠⣿⣿⠁ ⣰⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡀⠀⠀⠀⣎⣟⣿⡗⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠞⣿⣿⣧⠀⠀⠀⠀⠀⣌⣿⡟⠀ ⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠈⣿⡇⠀⠀⠀⠈⠛⠛⠃⠀⣞⣿⡇⠀⠀⠀⢰⣀⡀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⢠⣿⣿⠃⠀ ⠘⣿⣿⣄⠀⠀⠀⠀⠠⣿⣿⣿⡇⠀⣿⣿⣄⡀⠀⠀⢀⣀⣠⣶⣿⣿⣧⠀⠀⠀⠈⣿⣿⣶⣄⠀⠀⠀⢹⣿⣿⡇⠀⠀⢀⣟⣿⡏⠀⠀ ⠀⠘⢿⣿⣆⠀⠀⠀⠀⠈⠉⠉⣠⣟⣿⣿⣿⠿⠿⠻⠿⠿⣿⣿⣿⣿⣿⡀⢀⣀⣠⣿⣿⣿⣿⣷⣶⣶⣿⣿⡟⠀⠀⢀⣟⣿⡟⠀⠀⠀ ⠀⠀⠈⢻⣿⣧⡀⠀⠀⠀⢶⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⢀⣟⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣷⡀⠀⠀⠀⣿⣿⠏⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠋⠉⠉⠀⠀⠀⣠⣎⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣄⢀⣟⣿⡿⠀⠀⠀⠀⠀⣠⣶⠿⠿⣿⣿⣿⣿⣿⣿⣶⣶⣀⣀⣀⣄⣀⣠⣀⣀⣶⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣿⠁⠀⠀⠈⣿⣿⠀⠈⠉⠙⠛⠛⠿⠿⠿⠿⠿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀⠙⠷⠀⠄⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣀⣀⣀⣀⣀⣠⣎⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⢰⠊⠉⠲⣄⡎⠚⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠉⠉⠒⢊⡀⠀⠀⠀⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠘⣄⠀⠀⠈⠀⠀⢀⡌⠁⠀⠀⠀⠀⠀⢠⡀⠀⢀⢠⣌⣿⣷⡟⣥⡀⠀⠀⠀⠀⠀⡿⠀⢰⡻⠋⠙⡆⡞⠋⠙⣷⠀⠀⠀ ⠀⠀⠀⠈⠑⢄⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠹⣿⣿⣷⣿⠇⠀⠀⠀⠀⠀⠀⠀⠞⣧⡹⠀⠮⠧⠀⣠⠟⠀⡀⠀ ⠀⡎⠀⠀⠀⠈⢣⠎⠀⠀⣀⠔⠁⠀⠀⠀⠢⣄⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⡄⣌⠉⠑⠎⠋⢩⠆ ⠈⢀⣀⡀⡀⣀⠀⠀⠀⣮⠃⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠺⠆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠑⢄⢀⡔⠉⠀ ⠀⢧⠀⠁⠀⡞⠀⠀⣀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡕⠟⣀⡀⠉⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⡀⠀⢀⡀⠀⠀⠋⠀⠀⠀ ⠀⠀⠑⣀⠊⠀⣰⡞⡏⠈⢳⡀⠄⠒⠒⠒⢄⠀⠀⠐⠀⠉⠁⠀⣀⡀⣀⡀⢀⣀⠀⠈⠀⠀⠀⠞⣅⡈⠀⣀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡿⠀⠱⢀⠌⢷⡀⠐⠒⠲⢄⠱⣀⡀⠀⣀⠀⠚⠁⣠⡟⠉⠉⠉⠉⠓⢊⡀⠀⠀⠈⠻⡌⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠞⣧⠀⠀⠈⠧⣌⣷⣄⠀⠀⠀⠀⠀⠀⠉⠓⢀⡀⠀⠉⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⣀⠀⢄⠀⠀⠀⠀⠀ ⠀⢀⣞⡉⠙⡆⠙⣊⡀⠀⠀⠀⠐⠊⢳⡄⣰⣞⣎⠶⢀⡀⠀⠱⡠⠎⢲⡚⠒⢊⡀⠀⠀⢞⡆⠀⠀⠀⠀⢇⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⡠⣃⠜⠁⣀⣎⠟⠂⠀⠀⠀⠀⢀⡇⢱⡟⠚⣍⢢⢹⣄⠀⠀⠀⠀⣷⡀⠀⣧⠀⠀⡌⠆⠀⠀⠠⡒⠊⠓⢢⠀⠀⠀⠀⠀ ⠀⢀⠟⠁⠀⢰⡿⣌⠀⠀⠀⣀⣄⣠⠎⠀⢞⣄⣎⣿⡆⡆⡿⠀⢀⣎⡛⡿⠇⣠⠃⣠⠞⠁⡀⠀⠀⠀⠱⡄⡰⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠞⡄⠀⠀⠉⠉⠙⣆⠀⠲⣿⣟⣿⠣⢱⠃⢠⣃⣌⡰⢡⣚⠁⢉⣓⡟⠋⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠞⣧⡙⠲⠀⡞⠀⠀⣞⢄⠀⠈⠉⠁⠒⣥⡀⣿⣿⡟⠁⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⢧⠀⢠⠏⠀⠑⠀⣀⠀⠀⡟⠀⠌⡻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⡀⡠⠳⠟⢊⢠⡇⠀⠀ ⢞⠉⠳⠔⠉⢹⠞⡇⠀⠀⠀⠠⢜⡃⠀⠀⢀⡀⠈⣏⣉⣫⡊⠉⠀⠀⠀⠀⣀⡎⠖⠛⠉⠙⠛⢊⡄⠀⠑⢟⣊⣎⠷⠋⠀⠀⠀ ⠈⠓⢲⢀⠔⠃⢞⣝⠊⢄⣀⣀⣈⡧⠀⣰⠃⠀⠉⠀⠀⠀⢱⠀⠀⠀⢀⠞⠁⣀⣀⠀⣄⡀⠀⠀⠹⡆⠀⠀⠹⠏⠀⠀⠀⠀⠀ ⠀⡠⠺⠏⠀⠀⠞⢎⡉⣱⠋⠁⠙⢢⡀⢇⠀⢀⠠⠄⡀⡰⢎⠀⠀⢀⣏⡎⣊⣥⣄⡀⠀⠈⢊⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠉⢹⠀⠀⠀⢠⠱⣠⠏⠁⠀⠀⢠⡗⠉⠐⠐⠀⠔⢉⡁⡰⠋⠁⠀⠀⣞⠀⠀⣟⣞⡀⠉⡙⠀⠀⠀⠀⠀ ⠀⠀⢀⢀⣶⣶⣊⠄⠞⣳⠀⠀⠀⠀⢧⠇⠀⠀⠀⠀⣞⠒⢺⠉⢰⠋⠉⡝⢰⡃⠀⠀⣀⣔⣁⠀⠈⠁⠀⠘⢿⡆⠀⠀⠀⠀⠀ ⢞⣿⣿⢿⣯⡀⣌⣷⣊⢻⠀⠀⠀⠀⡎⠀⠀⠀⠀⢠⡏⠀⡎⠀⡎⠀⡌⠀⡜⣧⣀⣀⣀⠀⠈⢳⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⢌⣟⣿⣿⡿⣿⣿⣹⣏⠋⡇⠀⠀⢰⠁⠀⠀⠀⢀⡜⠃⢰⠁⢰⠁⢰⠁⡌⠋⠁⠙⠒⠞⠃⠀⢀⡇⠀⠀⠀⢠⠇⡔⠀⠀⠀⠀ ⠈⢿⣷⣿⡟⡗⣒⡫⢟⠀⠛⡄⠀⠘⠲⣀⠔⠺⠁⠀⠀⠀⠀⠈⠀⠊⢰⡁⠀⠀⠀⢲⢄⣀⡀⠊⠀⠀⠀⣰⠏⠀⠙⢧⠀⠀⠀ ⠀⠀⠉⠒⠊⠀⠀⠀⢞⠄⢞⠈⢩⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⡃⠀⠀⢀⠞⠀⠀⠀⠀⠀⠰⣎⠁⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠶⠙⠁⠀⠀⠀⠀⠙⠡⢒⠀⣀⠀⠀⠀⠀⢀⡎⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠔⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠫⢢⣄⣰⠏⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠃⠀⠀⡀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠏⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡇⠀⠀⠀⡄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⢏⣎⡜⡗⠁⠀⠀⡠⣀⡶⠚⠓⠉⠉⢁⣠⠮⠂⠀⠀⢀⣀⡀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣘⡩⠟⣙⠏⠀⡠⡎⢷⣻⣞⣧⠀⠀⠄⣶⣯⣥⣀⠀⠖⠿⣯⡵⠃⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⣯⡎⠜⣫⣀⢞⣏⣿⡿⡆⠀⠀⠀⡎⠋⠐⠢⠀⠀⠈⢳⠞⠁⠀⠀⢀⣟⡇⠀⣠⡶⠛⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢌⡄⠀⠀⠉⠻⣿⠞⣿⡇⠀⠀⣌⣿⠉⠉⡀⢠⠀⠀⠀⠓⠒⠀⠀⣻⠿⣇⡌⠋⠀⠀⣠⡏⠀⡀⠖⠋⠉⠉⡁ ⠀⠀⠀⠀⠙⣊⡀⠀⠀⣇⠡⡞⠀⠀⠀⣿⣿⣆⠀⡇⢀⠀⠀⡘⠀⠀⠀⣰⠟⣊⡟⠁⠀⠀⣎⣿⠿⠋⠀⠀⠀⢀⡟⠁ ⠀⠀⠀⠀⠀⠀⠙⢊⣀⣌⠌⠒⠀⠀⠀⢿⣧⣿⣿⠇⡘⢀⠔⠀⠀⢀⡌⠊⠀⣿⠁⠀⠀⢟⡯⠋⠀⠀⠀⢀⢎⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡀⢙⣄⠀⠆⠀⣆⠀⠈⠙⠻⠿⠌⠒⠁⠀⠀⢠⠝⠀⠀⠀⡎⠛⢷⠞⠋⠀⠀⠀⢀⢔⠝⠁⠀⠀⠀ ⠀⠀⠀⢰⠺⠓⠀⠀⠘⠛⠷⣀⣌⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⠃⡠⠂⠀⠀⡇⠀⣞⠀⠀⠀⢀⣎⣷⣥⠄⠀⣀⣄⠀ ⠀⠀⠀⠀⠘⠊⣠⣀⠀⠀⠀⠈⣿⠒⠒⠀⣀⠀⢀⡖⠂⠁⠀⣟⡌⣷⠀⠀⠀⠇⢠⣯⠔⠲⣄⠈⠁⠀⠀⠀⠀⣀⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠑⠣⢊⡄⡘⣊⠀⠀⠈⠀⣜⠀⠀⠀⢞⡹⠁⣯⠀⠀⠀⣊⠞⠁⠀⢠⡟⠀⢀⣠⣎⠊⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡪⠭⢯⡳⣄⠀⠀⡿⠀⠀⠀⠘⠁⠀⣩⡀⢀⣄⣩⠀⢀⣎⣏⣎⣟⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡪⠋⠀⠀⠀⠙⢯⠁⠀⣄⠀⠀⠀⠀⢀⡞⠁⠀⠀⠈⠙⣶⣞⠁⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⢀⠈⣧⡀⣟⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⢀⠞⣿⠇⡠⡔⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠞⠂⠀⠀⠀⠀⠀⢰⡗⠛⠛⠛⠓⠒⠒⡏⠀⠀⠀⠀⠀⠀⢞⠓⠛⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢊⡄⣀⣀⣀⠠⠈⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⠿⠟⠻⠛⠿⠿⠟⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⡏⠄⢲⢁⠂⡌⢐⠡⢒⠈⣌⡰⠔⡚⠡⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠀⡂⢌⠃⢌⡇⠂⡔⠐⣂⢰⠬⡚⢁⠆⠡⡐⠡⢉⠔⣊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⡿⠊⢄⢂⠱⠀⢟⠡⢌⠠⠑⣚⢖⢕⠃⡐⢠⣡⠬⠒⠎⡩⢉⠂⡔⣀⠊⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠈⠱⣌⠂⠆⠌⡑⠠⡗⢞⠀⣃⡵⢁⠊⣰⠜⠍⠠⠌⣈⠐⠡⣈⣒⠐⠀⢈⡁⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⠀⡀⠀⠀⠑⢿⠈⠉⠉⠉⠉⠛⠲⠌⣀⢢⠟⡁⠌⣀⠃⢰⡀⢺⡉⠥⠉⣙⣊⣡⠄⢣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⡿⣧⠀⢡⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠑⢊⡘⡐⣠⣌⣫⣀⣎⣿⣟⣿⣿⣿⣿⡎⠄⡃⢟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⢀⢿⡀⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⣎⣶⣟⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣇⠎⠰⣞⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⠣⠈⠜⣇⠀⠑⡀⠀⣠⣀⣀⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡯⣐⠡⢞⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⡎⢡⠈⠜⣆⢀⣎⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡟⣟⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣜⣿⣿⢇⠉⢗⡞⣜⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣵⢀⣊⣎⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⡇⠈⢻⣿⣿⣿⣿⣿⣟⢏⠞⠀⠈⢛⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣊⣷⣿⣿⣿⣿⢿⠟⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⡿⠀⠀⠀⠘⠋⠹⡟⠫⠕⠁⠀⠀⠀⠀⢚⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠢⡘⢧⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠒⠂⢠⡿⣄⠀⠀⠀⠀⠀⠀⠀⢫⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡠⠐⠌⢧⡀⠀⠀⠀⠙⠻⢿⣿⣿⡿⠟⠉⠀⠀⠀⠠⠀⠎⡲⡝⢠⠘⣧⡀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣝⢄⠳⡠⢁⠊⠄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣔⠮⡊⠔⡡⣞⠡⢙⣊⡀⠀⠀⠀⠀⠀⠑⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣎⢣⡙⢆⡈⠀⠁⠜⢳⡀⠀⠀⠀⠀⠀⠀⠀⠖⠒⢺⠛⠩⠐⣀⠒⠠⣱⠣⠑⣠⣞⠟⢊⡀⠀⠀⠀⠀⢰⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠱⣌⠱⣆⠉⡄⠡⠘⠊⣄⠀⠀⠀⠀⠀⠀⠀⠞⣇⢃⠡⠄⠌⢢⣧⠶⠟⠉⠀⠀⠀⠈⠀⠀⢀⣎⣜⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢈⠲⡈⠳⣌⠀⢉⠰⠈⠷⣄⠀⠀⠀⠀⠀⠀⠙⢧⣢⠌⠚⠉⠁⠀⠀⠀⠀⠀⠀⢀⣠⣮⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠐⡑⢆⠄⠳⣌⠢⡁⠆⡉⠷⣄⠀⠀⠀⠀⠀⠀⠙⠊⡀⠀⠀⠀⠀⠀⣀⢀⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢊⢀⠉⠳⡐⢠⠓⣔⢂⠰⢀⠉⠷⣄⠀⠀⠀⠀⠀⠈⢻⢀⡀⢶⣮⣿⣿⣿⢿⣡⣊⣀⠙⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠘⢝⡈⢧⡈⠀⠙⣢⡒⢈⠳⣔⠈⠀⠑⡘⢊⡀⠀⠀⠀⠀⠀⢛⡆⣞⢿⣿⣿⣯⣿⣿⣿⣿⠈⠆⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡃⠀⢇⠀⠻⣄⠥⢀⡑⣆⠂⠌⡳⣂⠡⠐⣈⠳⣎⠀⠀⠀⠀⠀⢿⡞⡘⢿⣿⣿⣿⣿⣿⡟⢈⠐⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡀⠘⡄⣰⠟⢊⡂⡔⢈⢮⠐⡄⡙⣆⠥⢀⠡⠹⣧⠀⠀⠀⠀⢞⢇⢇⢂⠙⠻⠿⠿⢋⠐⡀⢺⣜⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⢠⡟⠁⠀⠀⠳⣌⠂⢂⢳⠠⠁⠌⢧⠊⠰⠁⢻⡆⠀⠀⠀⠈⢌⠞⡌⠂⠡⠘⠠⠃⣢⣌⣿⣿⣿⣿⣿
♡₊˚ 🊢・₊✧
⠀⢀⣠⠀⠀⠀⣄⣀⣶⢊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠋⠀⠠⠚⣀⣀⣹⡿⢊⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢊⣀⣰⡀⢜⣋⣁⠀⢀⣌⠇⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢞⡏⢞⣷⢶⢶⣶⣌⢟⣊⡘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣌⠇⠘⠻⠯⠌⠋⣹⡟⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠺⠊⣀⣀⡆⢺⡇⢀⣀⣶⣿⢶⣊⡔⠒⠲⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣞⣇⠀⠙⠶⠿⢿⠷⠒⠟⣿⡟⢳⣞⠹⣇⠀⠀⠀ ⠀⠀⠀⢀⣰⡏⢋⣻⣷⡄⢀⠀⠀⠣⠶⣌⣿⠇⣠⠏⠁⣞⠀⠀⠀ ⠀⠀⠀⢞⡜⣿⠟⡏⢞⡇⢞⡟⢿⣷⣄⠹⣿⡀⢣⢄⣎⣿⣄⠀⠀ ⠀⠀⠀⠘⠣⠀⠌⠃⣟⠃⣞⡇⢞⢿⣿⡆⣿⣇⠘⢛⣿⠟⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢞⠉⣠⣿⡇⣌⠂⣟⡎⣶⣿⠀⠈⢷⣀⣟⣀⡆ ⠀⠀⠀⠀⠀⠀⠘⢯⣀⣬⣜⠃⠻⠶⣟⣀⣬⡿⠀⠀⠀⠈⠓⠚⠁
⢠⢎⠶⣒⠢⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡗⠁⢀⠄⠁⡚⠃⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⠃⣀⢟⣎⡅⢠⠎⡞⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⢺⠟⠈⢿⡧⠈⢱⣇⠖⢉⠔⢉⠅⣀⡀⠀⠀⠀⠀⠀ ⠀⠐⢕⣀⣀⡠⣔⡑⡏⢠⢞⠔⠉⢁⠀⠮⣑⢄⠀⠀⠀ ⠀⠀⠀⠀⠃⠰⡋⣰⠣⠃⠚⡒⠈⢑⡄⡐⠹⣯⠃⠀⠀ ⠀⠀⠀⠘⡄⡷⠗⡘⠀⢰⣉⠟⡉⠘⡀⡀⠁⢞⡀⠀⠀ ⠀⠀⠀⠀⠐⠄⡜⣧⣀⣈⣎⠂⣇⠀⣷⢁⠀⢄⡇⠀⠀ ⠀⠀⠀⠀⢰⠀⡇⠀⠆⠃⠀⠣⡀⠡⡻⣞⣠⢞⢧⠀⠀ ⠀⠀⠀⠀⡌⠀⡇⠀⢰⠘⠀⢞⢡⠀⠱⢻⠹⣡⣢⠁⠀ ⠀⠀⠀⠰⠀⢠⠃⠀⢞⠧⠠⠌⢞⠀⠀⠃⠁⠈⠙⠑⠂ ⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢐⢙⠖⢖⠖⠢⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢓⣒⣞⡡⠚⣄⠹⠀⡄⣭⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢁⡠⠐⢒⠗⠊⠈⠈⠁⠺⠁⡀⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠊⠉⠐⢵⡁⠀⠀⢀⣠⣊⡀⠰⠁⣇⢱⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣊⠖⠈⣷⠀⢠⠎⣯⣞⠀⠀⣰⠂⡎⢰ ⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠒⠒⠀⣘⢅⡚⠀⠶⠊⠀⡇⠘⢍⠏⠀⢰⢞⡜⠁⠀ ⠀⠀⠀⠀⠀⢠⢋⠃⢀⠠⣀⣒⣀⠌⡱⡀⠀⠢⢠⡀⠀⠀⠀⢀⡜⠜⢁⡠⢄⢀ ⠀⠀⠀⠀⢀⡇⠘⡐⡑⠁⡀⠀⠀⢍⠲⣜⡀⠒⠂⠀⠉⠩⢩⠋⠀⣔⠱⣊⠊⡌ ⠀⠀⠀⠀⢞⡆⠃⢳⠀⡜⠀⠀⠀⠀⠘⠇⣟⡀⠀⠀⠀⠀⠀⠙⢔⠚⠉⢀⠔⡇ ⠀⠀⠀⠀⠈⡗⡈⢄⠑⢧⠀⠀⠀⠀⢞⢀⠺⡝⠀⠀⠀⠀⠀⠀⠀⠳⠊⢅⡺⠁ ⠀⠀⠀⠀⠀⠰⡈⢄⠁⢄⠉⢢⡄⢀⠖⠓⠁⠀⢀⢄⣀⣠⠀⠀⡄⠈⠏⠁⠀⠀ ⠀⠀⡔⠠⣀⣀⠱⠠⡑⠄⡱⠁⡠⠃⠀⢀⠀⠊⠙⡀⠀⠘⠀⠈⡇⠀⠘⡀⠀⠀ ⣠⡞⠍⡰⢻⢈⠈⠀⠃⡘⡠⠊⠀⠀⡰⠁⢠⠀⠀⠡⡀⢰⠀⠀⢻⠀⠀⠡⠀⠀ ⡇⠚⢶⠀⡘⡘⠀⠀⠟⢠⠁⠀⠀⡰⠁⠀⠈⠄⠀⠀⠑⣌⠀⠀⠈⣇⠀⠀⢣⠀ ⠈⠢⠀⠔⠡⠅⣰⡜⠀⠘⣄⠠⠊⠀⠀⠀⠀⠈⠒⠒⠒⠚⠊⠄⠀⠌⠉⠉⠁⠀
ð“¢ÖŽà»‹ðŸŒ·Í™Ö’â‚á¢á¢â‚ŽðŸ’›â‚ŠËšâŠ¹â™¡ð”“˜ðŸŒžàœàœ²àœ‹àŸ€
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⠀⠀⠀⠀⢀⣀⣠⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡎⠟⣻⠟⠛⣀⣠⠀⠜⠛⠓⣊⣄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⢞⣥⠖⠋⠁⠀⠀⢀⠎⠋⠁⠈⠑⡶⠋⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣯⢟⠃⠀⠀⠀⠀⡎⠋⠀⠀⢀⣠⡜⠁⠀⡄⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⠁⡟⠀⠀⠀⠀⡌⣡⠀⣠⠟⠋⠁⠀⠀⢀⠇⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⢀⣌⠟⣏⣌⡷⠒⠒⠲⣟⣠⠞⢠⡮⠔⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣟⣠⣀⣟⣿⠁⠀⣿⣿⣿⡇⠀⠀⢹⠀⢠⣿⠀⢀⡏⣀⡎⠚⠋⣹⣊⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠋⢹⣻⣿⡏⠀⠀⢞⣿⣿⣷⡀⠀⠀⠀⣌⢞⠀⣌⠞⠉⠀⢀⡎⠋⠁⢀⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢞⡏⠩⢀⠀⠀⠀⠙⣛⡛⠡⠀⢀⡌⢃⣿⠌⠃⠀⠀⣰⠋⠀⢀⣎⡯⠎⠒⠋⠉⢛⡶⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣊⡞⠀⠀⠀⠀⠀⣀⣀⢎⣛⢀⠞⢞⠀⠀⢀⣌⠗⢟⡎⠋⠁⠀⠀⠀⣀⡎⠻⢕⢄⠀⠙⢊⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⡖⠛⠉⢉⡜⣻⠋⠀⣟⢀⣀⡿⠁⣡⠟⠀⠀⣀⡀⡖⠋⠁⠀⠐⢄⠱⡻⣷⣊⣜⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠁⠀⢀⣟⢟⡁⢀⣟⡏⢉⡞⠁⠎⠛⠉⢹⡏⠉⠉⠉⠉⢲⠀⡄⠈⡆⢱⢱⣿⡌⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣞⢡⣟⢁⡞⣹⠃⠋⠀⣀⣀⣠⣎⣛⣀⣠⠀⠎⣖⠋⢀⠘⡄⠞⠀⡇⢿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⣿⡟⢞⡞⢰⡏⢀⣄⡀⣹⡇⠀⠈⣻⢹⡀⠀⠀⠞⡆⠘⡆⢡⠀⡇⠀⢈⣹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠿⠀⢞⡄⡿⠀⠀⠀⠉⢹⡙⢻⡏⠁⠀⡇⠀⠀⠀⣷⢀⠞⡞⠀⡇⢰⠘⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠰⡄⢻⣷⡄⠀⠀⠀⠀⢳⣄⠙⠆⠀⡇⠀⠀⠀⢞⣞⠀⣇⠀⠇⢞⢀⡇⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠙⡇⠀⠓⠞⡊⠀⣶⠚⠛⠛⢧⡀⠀⠻⠊⡄⠀⢌⣿⠀⢞⡇⠀⠀⢞⣇⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣧⠀⠀⠀⢻⠀⠞⡄⠀⠀⠈⣿⡄⠀⠀⠘⢊⠚⢞⡆⢞⡀⢰⠀⢞⣿⣟⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⢞⠀⠀⠀⠘⡇⠀⣷⠀⠀⠀⢞⡙⡆⠀⠀⠈⢧⠘⣷⣞⣿⣌⠘⡄⢿⡞⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⣞⠀⠀⠀⠀⢻⠀⣿⠀⠀⠀⠀⡇⢹⡄⠀⠀⠈⣧⠹⣿⡏⢷⣇⢷⡈⢧⠀⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡿⠀⠀⠀⠀⢞⠀⡏⠀⠀⠀⠀⣧⠀⣷⠀⠀⠀⠘⣧⠙⣷⠀⠻⣮⣷⣌⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢰⠇⠀⠀⠀⠀⢞⡟⠁⠀⠀⠀⠀⡿⠀⢞⠀⠀⠀⠀⠘⡆⠈⠁⠀⠀⠙⠻⠜⠛⠳⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠚⣿⠀⠀⠀⠀⠀⣞⠋⠙⠒⠒⠛⠉⠁⠀⣟⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⣀⣀⣶⣶⣶⣶⣿⣿⢿⡿⣿⣿⣶⣊⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣎⣶⡿⣿⢟⡿⣿⣜⣟⣹⡻⢿⣿⣿⣿⣞⡜⣟⣿⣯⣟⢿⣳⣊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣟⣿⣻⢞⡜⣜⣫⢿⡵⣯⢟⡿⣿⣟⡟⢿⣿⣿⡷⡜⣿⣿⣞⣯⢷⣻⢿⣷⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣟⡿⣟⣳⢯⢿⣹⢷⣫⢯⣟⡟⢯⡿⣵⣻⢿⣿⣟⣻⣿⣿⡜⣿⣟⣮⣟⣜⡿⡻⠁⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣯⣿⣜⣭⣿⡿⠿⠿⢯⣷⣯⣜⣯⣟⣵⣫⢷⣛⣿⡿⠿⠛⠛⠛⠻⢷⢿⣟⡹⠁⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⢿⢯⡷⢯⣷⣿⣆⠄⠀⠀⠀⠩⠛⠻⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠉⢲⠁⠀⠀⠀⢰⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣌⣿⣌⣿⡟⣿⣿⣟⠀⠀⠀⠀⢀⠀⠛⣘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡄⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡿⣏⣷⣿⣟⣿⣿⣿⣿⣷⣄⠀⠀⠈⠀⠀⢰⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣌⣟⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢀⡀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⣯⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣜⣿⣿⣿⣿⣿⣿⣿⡿⣷⡿⣜⡿⢳⠀⠙⠺⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⢰⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣁⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣟⣯⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣜⢿⣿⣿⣗⡮⣧⣀⣀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⢠⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣞⣿⡿⣌⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠞⣿⣿⣿⡿⣿⣿⡿⣿⣯⣿⣿⠀⠈⢻⢚⡏⠳⣊⠀⠀⠀⠀⠀⠀⠀⣀⣌⣀⣀⣗⢀⣀⠇⢀⡀⢀⣠⣿⣿⣟⡷⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠿⣿⣿⣯⢿⡿⣿⡜⣿⣿⠀⠀⠘⣿⣿⣶⡧⠀⠀⠀⣀⣀⣷⣿⠟⠋⠙⢿⡏⠛⠛⢿⣿⣿⡉⣁⣿⡿⣿⣜⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⢻⣯⣟⣿⣟⣷⣿⠀⠀⠀⠙⣿⠟⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⢞⣷⠀⢀⣎⡀⠀⠀⣿⣿⣛⣿⣷⢯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣎⣟⣿⡟⣿⣿⣿⣿⡏⠀⠀⢀⡎⠋⠀⠀⠀⠀⠀⠞⢿⣿⣏⣙⣿⣶⣿⡏⠀⠀⠀⠉⠙⢺⣿⣿⣻⢟⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢌⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⣠⠔⠀⠀⠀⣧⣿⣿⢯⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣟⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠙⠳⢎⣊⡀⠀⠀⠀⠀⣀⣀⣀⠎⠒⠉⠁⠀⠀⠀⠀⣿⣿⣟⣿⣟⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⡎⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢹⣿⣿⣟⣯⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣟⣿⣿⣯⣟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣶⣿⣿⣿⣿⢿⣻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⢀⣀⣟⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⢀⣎⣿⣿⣿⣿⣿⣿⣯⢿⣜⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⡏⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡇⢀⠇⢞⣿⣟⣜⣫⣟⣟⣧⣿⢿⣜⡇⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⢞⠀⣟⣯⡿⣜⡻⢿⣝⡿⣌⣿⣿⠁⠀⠀⠀⠀⠀⠙⢶⣶⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⡇⠀⣿⣷⣜⣞⣜⣻⣟⠟⠏⠉⠻⢄⠀⠀⠀⠀⠀⠀⠀⠳⣻⣿⣿⣻⣶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠃⠀⠰⠀⢠⣿⣿⣯⣟⣯⡿⡗⠁⠀⠀⠀⠀⠀⠀⠀⣠⡟⡆⠀⠀⢱⣿⣟⣿⣯⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⣀⣬⣿⣿⠷⠿⢿⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣵⠷⠀⠀⠀⢟⡿⣿⣞⣿⣟⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣀⣀⣟⢿⣻⢯⢷⣻⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠙⠁⣠⠆⠀⠰⣌⣿⡜⣿⣞⣿⣜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣶⣶⣿⣿⡟⢻⣿⣜⡏⣷⣯⡟⢳⡟⣷⠀⠀⠀⠀⠀⠀⠀⠀⣶⠋⡇⠀⣟⠁⠀⢠⣟⣿⣷⣿⡟⣟⡟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⢿⣷⣭⣟⡿⣞⡿⣿⣧⢿⣹⢯⡿⣜⢷⣄⠐⠀⠀⠀⠀⠀⢳⣈⣁⣠⣀⣶⣟⣿⣿⣿⣻⣷⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡜⣷⣟⡜⣻⢟⣝⢿⣯⣯⢷⣏⡿⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⣺⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣿⢿⣜⣯⢞⡿⣌⣻⢿⣟⣜⢶⣛⡟⣜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣯⣿⣟⢿⡜⣞⣳⣟⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣯⣿⣿⣜⣳⣏⡿⣞⣯⢿⣯⣿⣟⣹⢮⡷⢯⡿⡜⣯⠿⣜⡻⣜⣞⣜⣟⣜⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠙⠻⢟⣟⡿⣿⣷⣜⣟⡜⣺⡜⣞⣿⣻⢿⡿⣟⢿⣷⣿⣷⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠟⠿⣿⣿⣿⣷⣿⣶⣯⣿⣟⡜⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
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;àŒŠ.𖥔 ݁ ˖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠠⡠⠔⠂⡉⠉⠁⠀⠀⠀⣠⣀⠌⠿⢶⣊⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠄⡉⠀⠀⡁⠀⠐⠀⠀⠀⢀⡎⠋⠁⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀ ⠀⠀⠀⢠⠊⠌⠀⠀⢠⠥⣄⡐⡄⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀ ⠀⠀⢀⠃⠞⠀⠀⠀⠁⠀⠀⠈⠑⢄⣜⡀⠀⠎⠶⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⢎⠀⠀⣠⡀⠶⠶⠶⠶⠟⠀⠈⠉⠀⠲⠶⠶⠶⣀⣕⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⡜⠹⢠⠟⢡⣖⣒⣄⡉⢊⡀⠀⠀⠀⠀⠀⢰⢄⣒⣒⣀⠉⢷⡀⠀⠀⠀⠀⡀ ⢞⠃⠌⠆⡌⣿⣿⡗⠻⠀⠘⠀⠀⠀⠀⠀⠀⠞⠀⠜⢞⣿⣿⢟⣋⢆⠀⠀⢀⡇ ⢞⠀⠘⠈⠙⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠋⠐⡀⠀⠀⠘⠀ ⢞⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⡰⠃⠀ ⠞⡆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣎⠀⡰⠃⠀⠀ ⠀⠱⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣣⠁⡔⠁⠀⠀⠀ ⠀⠀⠑⢬⡱⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⢋⠊⣀⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠢⣄⡙⠆⠀⢀⣀⣀⣀⣀⡠⠀⠐⠂⡁⠀⢋⣌⢃⠎⢢⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠶⢎⠠⢄⠀⠀⠀⢀⠀⠐⢩⠁⡐⠁⣏⡫⠪⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣳⡻⢁⠌⠀⠀⠀⠡⠃⠀⠘⠠⠧⠀⠄⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⡇⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣶⣶⢶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣊⣶⣶⣶⣊⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⣟⣿⡟⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣊⠀⠀ ⠀⠀⠀⠀⣌⣿⡿⢠⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⣿⣿⡇⢞⠀⠀⠘⠁⢻⣿⣿⣿⣿⠟⠉⠁⠀⠀⡇⢹⢿⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⢿⣿⣇⠈⢄⠄⢀⣄⠀⠙⠿⣿⠏⠀⣠⠀⠠⡰⢀⡜⢞⣿⣿⡿⠀⠀ ⠀⡀⠀⠀⢈⣻⣿⡍⠃⡔⠁⢹⣧⠀⠀⠀⠀⠎⣿⣷⡄⠘⣱⠅⢞⡿⠿⠥⢄⠀ ⡌⠊⠁⠀⠡⢚⣿⡇⠀⡷⣎⣟⣿⡀⠀⠀⢰⣶⣻⡿⡷⠀⢞⢠⡓⠈⠀⠈⠱⢡
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⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣇⣀⣀⠀⠜⣁⣀⣀⠋⠉⢣⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⠮⠙⠂⠀⢚⠋⠉⡩⠋⠁⠘⠣⠿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⢀⠀⡠⡮⠋⠁⠀⠀⠀⢀⠇⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠓⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠇⠀⠀⠀⠀⠀⠀⠀⠀⢞⢞⠀⠀⡰⠁⠀⠈⢵⡀⠀⠀⠀⠀⢞⢀⡎⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⢀⢠⠁⠀⠀⠀⠈⠟⠀⠙⠒⠊⣇⡜⠀⠀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠞⡎⡀⠀⠀⠀⠀⢀⠄⢀⠀⡟⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⡋⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⠒⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⢇⡇⠀⠀⠀⠀⠞⠀⠞⢌⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠈⣃⠎⠊⠀⠀ ⠀⠀⠀⢞⢠⠀⠀⠔⠁⠀⣎⡙⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⣠⠎⠋⡉⠀⠀⠀⠈⢳⡀⠀⠀⠞⠀⠀⠀⠀ ⠀⠀⠀⠈⡜⠀⠀⠂⢀⠂⠉⢁⡇⠀⠀⢟⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⡶⢶⣄⠀⠀⠀⠛⡟⠳⣊⠃⠀⠀⠀⠀⠀⡇⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⡇⠀⠀⠘⢄⠠⣞⡇⠀⠀⠈⡿⡀⠀⠀⠀⠀⢀⡎⠋⣁⠠⡄⣻⠀⠀⠀⠀⡵⢶⣮⠻⣭⡄⠀⠀⠀⡇⠀⠀⠻⠀⠀⠀⠀ ⠀⠀⠀⠀⢞⢠⠀⠀⠀⠀⠀⣿⢹⡀⠀⠀⢱⠀⢀⠐⠒⣶⣿⣶⡟⠛⢛⣿⣟⢀⣀⣀⣀⣀⣟⡷⠒⠒⠒⠲⢊⣎⣅⠀⣘⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢛⡀⠀⠀⠀⠀⢳⣆⢃⠀⠀⠀⢧⠬⠜⠟⠻⡟⡆⣄⣠⡟⣿⡿⠀⣻⡟⢻⡿⠟⡀⠀⠀⠀⠀⡎⣿⠃⡎⠏⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠃⠀⠀⠀⠀⠞⡘⡌⢆⠀⠀⠘⣆⠀⠰⣻⢿⡵⡹⣿⣿⠟⠁⢠⡟⠀⠀⠳⣱⡀⠀⠀⢀⡌⢁⡏⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢊⣀⠀⠒⠁⢀⡀⠀⠀⢇⠱⡈⢆⠀⠀⠈⢧⠑⢥⣈⠣⠀⣄⣠⡀⠶⠋⢰⡄⠈⢀⣠⠯⢀⣀⣟⠀⢞⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡶⠎⠓⠀⠀⠀⠀⠘⠡⢢⢜⠀⢡⠈⢆⠀⠀⠀⠳⡀⠈⠙⠲⢀⣀⠀⠀⢀⢟⠙⠓⣞⠁⠀⣰⠋⠀⡠⠓⠀⢄⣀⠀⠀⠀⠀⠀⠀ ⠀⢠⠒⠛⠜⣛⠢⠶⣀⣀⠀⠀⠘⡇⠀⢣⠀⢣⠀⠀⠀⠙⣄⠀⠀⡄⠈⠉⠛⠃⠀⠱⣄⠈⢳⡎⠃⠀⡰⠁⠀⠀⠀⠀⠈⠁⠐⠂⠀⠀ ⠀⢠⠉⠒⠀⡀⢉⠐⢠⠖⠀⠀⠀⢻⡀⠀⢣⠀⠱⡀⠀⠀⠈⣆⢠⠃⠀⠀⠀⠀⠀⠀⠈⢣⡀⠙⣆⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣵⡄⡀⢚⡟⠁⠀⠀⠀⠀⠀⠈⣗⠀⠀⢃⠀⠘⡄⠀⠀⠘⡞⠂⠀⠀⠀⣀⠀⠀⠀⣞⠙⢆⠈⢳⡷⠆⠒⠊⠉⠉⠉⠒⠒⠀⠀⠄ ⠀⠀⠈⠷⣌⠊⡗⠀⠀⠀⠀⠀⠀⠀⣞⡆⠀⠈⡄⠀⠘⡄⠀⠀⢹⡒⠠⢄⡀⠀⣩⠖⠉⠁⠀⠉⠱⣖⢳⠠⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⢟⡢⢀⠀⠀⠀⠠⣎⡋⢻⡄⠀⢞⡀⠀⢱⠀⠀⠞⡇⠀⠀⠈⠑⢷⣄⠀⠀⠀⠀⠀⠀⠙⠞⢃⡀⣢⡍⠁⠒⢂⣀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠂⠀⠀⠀⠀⠈⢻⡆⣧⠀⠀⡇⠀⠀⡇⠀⢰⡇⠀⠀⠀⠀⠀⠙⣊⠀⠀⠀⠀⠀⠀⣎⢋⡎⢣⠎⡣⢚⡜⠟⣀⣎ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣬⠷⣟⠀⠀⠀⠀⠀⠇⠀⣌⡁⠀⠀⠀⠀⠀⢀⣌⠃⠀⠀⠀⠀⠀⠀⠉⠐⠋⣞⡎⢉⣎⣿⠟⠁ ⣀⠈⡉⠁⠐⠛⠡⠖⣀⢀⡀⣌⡵⣜⡵⢀⠿⠀⠀⡀⠀⠀⡇⣐⠞⠶⠯⣀⣀⣔⣞⠯⢙⣛⠰⠖⣀⡀⠄⣀⡀⢀⢌⠿⣰⣜⡿⠋⠀⠀ ⠈⠻⣊⡀⠀⠀⠀⠀⠒⠛⠉⠻⠙⢗⣀⠖⠁⠀⢀⠇⠀⢠⠻⠚⠂⠀⠀⠀⠈⠉⠛⠿⠷⣶⣬⣅⣒⠀⢉⡐⠀⠅⢕⣟⡿⠛⠒⠒⠀⠀ ⠀⠀⠈⠫⣢⡀⠀⠀⠀⠀⠀⢀⢣⠀⠀⠀⠀⢠⢎⣠⢢⢁⡀⠂⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠈⠉⠛⠻⠷⣶⣊⣎⣿⠋⠁⠀⠐⡊⠅⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣀⣀⣀⡖⡶⢊⠟⡝⡶⠒⠒⣧⠀⠎⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⢳⣌⡈⣯⠏⡜⠞⠀⠀⢰⠁⠀⢞⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠁⠎⡈⠙⢻⣀⡇⣀⣀⡄⠠⣷⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢞⢀⣷⣶⡉⠀⠀⣟⣿⣷⣶⣿⣀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡌⠋⠘⢿⣙⣊⠀⠹⡘⢿⣿⠿⠃⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠔⠒⠒⠀⣀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠈⢻⣿⡀⠀⠁⠀⢰⠒⢒⣜⣇⠀⠀⠀⠀⠀⢀⡎⣋⠔⠂⠉⠉⠉⠒⢄⠑⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠬⣡⣆⣀⣠⡷⠚⣫⡔⡌⣄⠀⣀⣀⢠⠟⢋⣀⠀⣀⠀⢀⡀⠀⠀⢣⠘⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⣋⠭⠋⡐⢁⢿⠉⢀⡌⠙⣊⠛⠉⠉⠲⣝⢊⡈⢆⠀⠀⡇⢞⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⢣⡠⠊⠀⡜⡞⠀⢿⡹⠂⣞⠀⠀⠀⠀⠈⢆⠱⡈⡆⠀⢞⠘⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠞⡄⠀⠀⠑⢄⡜⡠⠃⠰⣟⣛⡱⢻⠀⠀⠀⠀⠀⠈⡆⢃⠁⠀⢚⠀⠀⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡳⢀⡆⠀⡈⠁⢘⣆⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⢡⢞⡄⠀⢞⢰⠀⢞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡜⠀⢀⡍⠉⠉⠫⡳⣄⠘⠉⢣⡀⠀⠀⠀⠀⢞⢞⡇⠀⡆⠘⣠⠞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⢞⢣⠀⠀⠀⠱⡈⢢⠀⠀⠱⡀⠀⠀⠀⢞⣌⠆⠠⣡⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⡜⠀⣇⠀⠀⠀⢡⠈⡆⠀⠀⢱⡀⠀⠀⡌⠿⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠇⠀⢞⠀⠀⠀⡞⠀⡇⠀⠀⠀⢃⠀⢰⣡⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⣞⣀⣀⣞⠀⠀⠀⣇⣀⡇⠀⠀⠀⢞⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⠒⠒⠒⠉⢠⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠖⢛⢍⢃⠉⠒⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠀⣄⣀⡀⠀⢀⡎⢅⢐⣀⡀⡱⠛⢂⠀⢩⡗⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⢄⠙⠌⢢⡎⠁⠀⠀⠀⡜⠠⢀⣀⠀⠈⠁⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⣌⠉⠓⢎⡅⢣⢰⠻⠇⠉⢰⠀⠀⠀⠀⣠⠇⠀⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡭⠒⠌⣍⠢⢻⡀⢳⡆⠈⠺⢯⠿⠛⡌⢀⠎⢞⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣳⢖⣻⡶⡵⠌⡀⣲⣀⡠⠄⢢⠁⡌⡐⠹⠀⠀⠀ ⠀⠀⣀⠀⠒⠒⠒⠢⢌⠁⣥⣌⠉⢱⠀⣞⢃⡎⠁⠀⠀⢞⠀⠠⠀⢳⣭⢱⡄ ⢠⠞⠁⠀⡠⢒⠎⢛⡟⠇⠪⠋⢒⣎⠀⣿⠀⠀⠀⠈⠑⢮⢆⡡⡁⠭⣅⣟⠇ ⣯⠀⠀⡘⡰⢹⠀⠀⠉⠁⠢⠀⠀⢒⣩⠳⡢⠀⠎⠞⠐⠒⠋⠉⠑⠒⠋⠁⠀ ⣯⡀⠀⢃⠐⢌⠢⣀⠀⠀⠀⠈⢢⠀⣀⠠⢁⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣕⢄⠀⠑⠢⠁⣐⣫⠶⢒⠲⠒⠉⣉⠭⠐⠊⠹⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠳⢬⣩⢭⠀⠮⠑⢊⣀⠀⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⚚⚚⋆˖⁺‧₊☜◯☟₊‧⁺˖⋆⚚⚚
⠀⠀⠀⠀⠀⣀⡠⠎⣖⠒⠒⠲⣶⠒⠲⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡎⠊⠁⠀⠀⠀⠉⠒⢄⡘⢷⡀⢰⡆⠙⠢⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠟⠒⠒⣟⠓⡊⣀⣄⣀⠀⠙⠪⣷⡈⡇⠀⢀⠞⠁⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠟⣉⡬⡶⠒⠻⣁⡜⠑⣀⣉⠶⠒⠛⠋⠙⠒⠎⠀⠀⡀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣌⡔⠉⢇⠹⡄⠀⠙⣊⣰⠃⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡓⠊⡈⢊⠈⠢⣌⡉⠃⠀⠀⠀⣀⠀⠀⢄⡀⠀⠀⡌⠀⢞⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢧⡀⠈⠢⡑⢎⡇⠈⡄⠀⢀⠎⠀⢀⡀⡀⢈⣶⡞⢀⣀⣏⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣲⣄⠱⡌⣿⣶⡆⠀⠈⠀⣀⣌⣷⡓⢺⣿⡿⠋⣞⠘⡄⢞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⢻⣊⣀⣷⣧⢿⣿⠇⠀⠘⡟⣿⣿⣟⣷⣺⠿⠀⢀⡟⡂⠰⡌⡇⠀⠀⠀⠀⠀⣀⡀⠔⠒⠛⠛⢶⡊⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠊⠭⠿⠟⠁⡎⠋⠀⠀⠀⠧⠜⠛⠻⠗⠁⠀⠀⡞⠃⢣⡎⠃⡇⠀⠀⢀⡎⠊⢁⡠⠐⠒⠀⣄⠀⠈⢢⡈⠙⢊⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⢀⣠⠂⠀⠀⠀⠀⠀⣀⠀⠀⢀⡇⣞⣟⣁⢰⠃⠀⡎⠋⡠⠊⣁⠠⠀⠲⠀⣀⠑⢄⠀⢳⡀⠀⠙⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢛⠖⠉⠉⠁⠀⠀⢀⣟⣿⣛⠉⠀⡞⢀⡞⢀⣟⠕⠋⣀⠀⠀⠀⠀⣌⠳⡀⠱⡀⡇⠀⠀⢞⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⣰⠋⠉⠲⢄⡀⡞⠀⠀⠀⠀⢀⡎⡿⣿⣯⡍⣹⡟⠁⡌⢠⡟⠁⡎⠊⠀⠀⠀⠀⠀⠀⠑⡝⡄⢹⡇⠀⠀⡟⡿⣧⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⣟⡘⠀⢳⣋⡿⢫⡗⠰⣧⡎⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣘⠟⠀⠀⡜⢀⠇⣿⠀⠀ ⠀⠀⠀⠀⢞⠀⠀⠀⢷⢀⣀⡇⠀⠀⠀⠀⠘⣏⣉⣉⡡⠔⢁⣷⢡⠀⠙⣅⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠜⠁⠀⣠⠞⠀⡜⠀⣟⠀⠀ ⠀⠀⠀⠀⢞⠀⠀⠀⠈⠣⠈⢻⠀⠀⢄⠀⠀⣯⠀⠀⢀⠔⠋⣜⠿⠀⡀⠘⡆⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⡀⠚⠁⢀⡜⠀⣞⣿⡆⠀ ⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⡇⠘⡄⠀⠈⢣⡀⢞⡖⣉⣠⣶⠿⠛⠀⢰⣌⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⡠⠊⢀⣎⣿⠏⣷⡀ ⠀⠀⠀⠀⠀⠹⡄⠀⠀⡞⠁⠀⡇⠀⠀⠈⡏⠲⢍⡉⠁⠀⢢⡀⠄⠀⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡗⠁⢀⣎⣿⠟⢁⡟⢹⠁ ⠀⠀⠀⠀⠀⠀⠙⠀⠎⠁⠀⠀⠃⠀⠀⠀⢹⠀⠀⠈⠙⠒⡶⠿⢊⡀⠀⠀⠉⠉⠑⢄⠀⠀⠀⠀⠀⣌⣿⣿⣶⠿⠋⠁⡰⣻⢁⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠞⡀⠀⠈⠑⡊⢄⠀⠀⠈⠳⡄⠀⠀⠀⠘⠿⣉⣀⣠⠔⠋⡎⣡⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⡇⠀⠀⠀⢞⠈⢣⠀⠀⠀⠈⢊⠀⠀⠀⠀⠈⢣⣀⠎⢋⣎⠃⣀⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⢞⡄⠀⠀⠀⠀⡇⠀⠀⠀⢞⡀⠀⢳⡀⠀⠀⠀⠳⡀⠀⠀⠀⠀⢳⡞⡟⢹⡞⢻⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠘⡇⠀⠀⠀⣞⠁⠀⠀⠀⢀⡇⠀⠀⢣⠀⠀⠀⠀⠹⡄⠀⠀⠀⢞⠳⡱⣈⣹⠟⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣎⠃⠀⠀⠀⠀⠀⣷⣀⣀⣎⠁⠀⠀⠀⠀⣞⣀⣄⣀⣈⡇⠀⠀⠀⠀⠹⡄⠀⠀⠘⠢⠬⠜⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⣿⣷⣶⣶⣀⣎⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣿⣊⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠔⠒⠒⠒⠢⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠟⠓⠈⠁⠀⠀⠈⠁⠐⠠⢀⠈⠓⢄⢀⠎⠒⢄⠀⠀ ⠀⠀⠀⠀⢀⠞⠁⢀⠄⠒⠀⠉⠀⠉⠀⠒⠠⢀⠈⠢⡠⢃⠊⢱⠈⡄⠀ ⠀⠀⠀⠀⡎⢀⠔⠀⠀⠀⣠⠔⠒⠂⠀⠐⠲⢄⠈⡎⠁⠀⠀⢞⠀⣇⠀ ⠀⠀⠀⢞⠀⠎⠀⢀⢐⠟⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⢠⡍⡆ ⠀⠀⠀⢞⠘⠀⠀⠂⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢞ ⠀⠀⠀⠞⡆⠀⢰⠀⡇⡄⣄⢀⡄⠀⠀⠀⠀⠀⠀⠀⣀⢀⡐⡄⠀⠘⢞ ⠀⠀⠀⠀⢇⠀⠈⠀⠁⠚⣷⡔⣿⠀⠀⠀⠀⠀⠀⢞⡟⣀⡯⠂⠀⡇⡞ ⠀⢀⡎⠀⠘⡄⠀⠀⢚⠀⠞⢿⠟⠀⠀⠀⠀⠀⠀⠈⢿⡿⠀⠀⡰⢡⠇ ⠀⢌⠘⢄⡠⡗⢀⠀⡟⢊⡀⠀⠀⠀⠀⠢⠠⠐⠀⠀⠀⠀⣀⠜⢡⠎⡀ ⠀⠘⣄⠀⠈⡠⠊⡰⠁⡠⠋⡳⢢⠀⠄⠀⠀⠠⣀⡀⠒⡎⠁⣰⣃⡠⢻ ⠀⠀⠈⢓⣀⠀⠟⢷⠯⣉⣉⡱⠊⠀⠀⠀⠀⠀⢱⠙⢀⡐⢄⠑⠀⣠⠞ ⠀⢠⠖⠡⠂⢩⢻⠃⠀⣠⡀⠀⠀⠀⠀⠠⠀⠀⢞⡓⢀⡈⠉⠉⠉⠀⠀ ⠀⠞⢄⠐⠀⣞⢞⠐⠁⠃⡇⠀⠀⠀⠀⠀⣀⠀⠀⠈⢣⠙⡄⠀⠀⠀⠀ ⠀⠶⠮⠚⠊⠁⠘⠀⠀⠎⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠬⠀⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠠⠶⠟⣿⣯⣉⠙⠛⠛⠒⠶⠊⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠟⡝⢧⣄⠀⠀⠀⠀⠀⠈⠁⠐⠪⠝⡳⣊⠖⢊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠟⠁⣀⣹⡜⠈⠳⣀⡀⠀⠄⠀⠄⢀⣀⠀⡌⠃⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡌⢗⡿⠋⠁⠀⢫⣊⠃⠈⢻⠖⠒⣲⠞⠁⠀⣹⠃⠀⠀⡇⢞⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣎⠋⣀⣀⢶⣿⣿⡗⠂⠀⠀⠀⢰⡧⢖⣛⣉⠙⠀⠀⢀⠇⢞⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣟⣵⡟⠉⠀⣌⣏⢜⣿⠀⠀⠀⢀⣎⣟⢿⠿⢿⡿⢃⡀⠘⠀⣞⠃⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠋⣌⠁⠀⠀⣿⡇⡞⣿⠀⠀⣠⣿⠟⡁⢎⠀⢞⣿⣉⡀⠀⣰⡏⡆⠈⣜⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠇⠀⠀⠀⣿⡇⣥⣿⣷⣶⣿⡏⡰⠁⢠⠃⣟⡿⠀⠀⠀⣌⠀⠃⠀⠏⡇⠀⠀⠀⠀⠀⠀⢀⣀⡀⣎⣶⣶⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⡟⠀⠀⡀⠀⣞⣯⢞⡟⠀⢞⣿⣱⠁⢠⠂⣞⣿⠃⠀⠀⢰⠇⢞⠀⠀⡀⡇⠀⠀⠀⢀⣀⠞⢋⡁⠀⠓⠒⠀⠀⠀⠚⠭⡛⢶⣄⠀⠀ ⢞⠇⠀⣎⠃⢰⠁⢿⡁⠔⢰⡄⢿⣷⣄⣚⣟⡿⠋⠀⠀⢠⡏⣎⡇⡀⢠⣧⡇⠀⢀⡎⢋⡡⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢷⡀ ⢞⢀⡞⢹⠀⡆⠀⠈⠚⠟⣑⡇⠀⠑⠛⠛⢉⣀⠀⠀⢠⡿⣟⣹⢱⡇⡌⠘⡇⣰⠏⠔⢁⡀⠀⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀ ⢞⡞⠀⢞⠀⠀⠀⠀⠀⠀⡑⠛⢻⡟⢻⡏⠁⠀⠀⠀⠁⠀⣷⢧⢿⣷⣃⣀⣡⣏⣊⢔⡡⢂⣁⣀⠀⠀⠀⠈⠱⡄⠀⠀⠀⠀⠀⠀⠈⡇ ⠜⠀⠀⢞⡄⠀⠀⢞⡄⠀⡿⣀⠏⠙⢮⠀⠀⠀⠀⠀⠀⢠⡿⣯⢟⠏⠁⠀⠀⠈⠉⣻⡞⠉⠉⠉⠙⢶⡀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⢧⠀⠀⢞⠹⣆⣧⠈⠀⠀⡟⠀⠀⠀⠀⠀⠀⠋⠃⠀⠀⠀⠀⠀⠀⢠⡟⢳⢹⡀⠀⠀⠀⠀⡇⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⢞ ⠀⠀⠀⠀⠘⣊⠀⢞⠀⠈⠻⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣀⢞⠏⡇⠀⠀⠀⣌⠃⠀⡰⠁⠀⠀⡠⠁⠀⣎⠀⡟ ⠀⠀⠀⠀⠀⠈⢧⣞⡇⠀⠀⠀⠀⠀⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠋⠀⢀⡇⠀⠀⡌⢁⣀⡞⠀⠀⠀⡔⠁⢀⡟⠙⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⣠⠇⠀⠀⣞⠀⠀⢰⡿⣫⠏⠀⢀⡀⡎⠀⣠⠟⠀⠀⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠲⠀⢌⠀⠀⠀⠘⣊⠎⠞⢻⡀⠀⠀⠟⢻⠄⠈⣰⠋⣠⡶⠋⢰⡧⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⡇⠀⠀⠀⠞⡆⠀⠀⢳⠀⠀⠀⠀⢻⣎⠇⣎⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣧⠀⠀⠀⠀⢻⠀⠀⠈⡇⠀⠀⠀⠀⠿⢞⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢞⠀⠀⠀⠀⠘⡇⠀⠀⢻⠀⠀⠀⠀⠘⡿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠃⠀⠀⠀⠈⠀⠀⠀⠀⠀⢻⠀⠀⢞⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⣌⠀⠀⠀⠀⠀⢞⡄⠀⢞⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠁⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠞⢇⣀⡞⠀⠀⠀⠀⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡢⣀⣀⣀⣀⢜⠃⠀⠀⠀⠀⠀⢰⡈⢕⢅⣀⣀⣀⣀⡀⢜⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠜⣀⣀⠀⠀⣄⡐⠞⠁⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⣀⣀⡀⠐⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢚⢿⣟⡞⠎⠃⠀⠃⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢁⣄⠓⢞⣿⡀⣟⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠁⢻⣊⠈⠜⠛⢋⣰⠀⠀⠀⠀⢀⠄⡒⠐⡂⢄⠀⠀⠀ ⠀⠀⠀⠛⡰⣀⣰⢖⣏⢆⠀⠀⠰⢂⣡⠀⢀⠀⢂⢱⡀⠀ ⠀⠀⠀⠀⠀⡘⠚⠀⠀⢟⠠⢮⢁⠀⠈⠘⠄⠀⠀⠆⡵⠀ ⠀⠀⠀⠀⠀⢇⡀⠁⠊⠂⠣⠿⠛⠀⠀⠀⠈⢞⠀⠀⡇⠃ ⠀⠀⠀⠀⠀⠈⢬⠁⠒⠒⢗⠄⠐⠀⠀⠀⠀⣆⠀⢊⢀⠄ ⠀⠀⠀⠀⠀⢀⠂⠠⢡⠀⠀⢂⠀⠈⠄⠀⠀⡟⠰⠜⠁⠀ ⠀⠀⠀⠀⠠⠂⠀⠀⠀⡆⠀⠞⠀⠀⠈⡄⠰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠡⠀⠀⠂⠀⠁⠀⠁⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠉⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⢀⠠⠐⠠⠁⠌⡐⢀⠂⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠌⡀⢂⢁⠂⣁⠂⡐⠀⡐⠠⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠄⡁⢂⠐⡀⢂⠐⡀⠂⠄⠡⢀⢁⠂⠀⣿⠟⠋⠉⠛⠿⠟⠉⠀⡀⢀⠀⡀⢀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠀⡈⠐⡀⠀⢂⠰⠀⠂⢀⠀⠈⢀⠀⠂⠌⠀⠁⠠⢀⠂⢀⠀⠄⢂⠡⠐⠠⢈⠐⠠⢈⠂⠡⠀⠄⡀⠙⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⠀⠄⠁⠠⢈⠀⠀⠄⡈⠄⡈⠔⠠⠈⠄⠠⠈⠠⢁⠂⢀⠂⠌⡐⢀⠂⠡⠈⢄⠚⠐⠠⠈⡄⢁⠂⠄⠠⠀⢻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⠀⢈⠠⢁⠀⠄⠚⠐⡀⠒⠠⠈⠄⡡⢈⠂⠡⢀⠀⡀⠂⠌⡐⢀⠂⠌⠡⠈⠄⢂⠡⢈⠡⠐⠠⠈⠄⡁⢂⠀⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⠂⠄⠠⠈⠄⠡⡀⢁⠆⡁⢂⠐⠠⢈⠐⡀⠂⠄⡁⢂⠐⡠⠈⠄⠡⢈⡐⢀⠂⠄⢂⠁⡂⢉⠐⡀⠂⠄⠈⣿⣿ ⣿⣿⡿⠋⠩⠻⣿⡿⠇⠀⠌⡀⠠⠁⠌⡐⢀⠂⡐⢀⠂⠌⡐⠀⠆⡐⢁⠂⠀⠁⣀⣀⣀⣈⡀⡁⠀⠂⠌⡐⢂⠐⡀⠆⡐⠠⠁⠌⠀⢿⣿ ⣿⡟⢠⡞⣝⣢⡀⡀⠠⢀⠐⠀⠠⢁⠂⡐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠀⣠⢎⠲⣅⠞⡱⢎⠶⣩⠘⡜⡀⢠⡀⠂⡐⢀⠂⠄⠡⢈⡐⠀⢞⣿ ⣿⠡⣜⠌⣚⡎⡹⡄⠁⢂⠠⠐⡀⠀⠂⠄⡁⠂⠌⡐⠠⠌⡐⠀⣠⢞⡱⣎⠻⣜⠲⡝⣭⢛⡎⡃⢞⡥⢂⣿⣆⠀⠂⠌⠠⢁⠂⠄⠀⣿⣿ ⡇⢄⢯⠞⣱⢚⡵⡹⡔⠀⢃⢯⣙⢆⡈⠐⠠⢁⠂⠄⡁⢂⠀⡌⡱⢮⠵⣎⠜⡬⢏⡝⡊⢏⡶⣡⠈⡞⡄⢞⣿⡆⠈⠄⡁⠂⠌⡀⢠⣿⣿ ⡇⣚⢮⠰⣭⢓⢮⣱⡹⣈⡏⡶⣩⠮⡵⣢⢄⡀⠌⠐⡀⠂⢞⣱⢋⣧⢛⡬⣛⠌⠉⠈⠀⢬⡀⠃⣌⡳⠁⢞⣿⣧⠐⡀⢂⢁⠂⠀⣌⣿⣿ ⡗⠚⡳⡄⢮⡹⡲⢥⣓⡳⣜⢣⡳⣙⡖⡳⢎⡝⣖⡲⢀⢀⣓⢮⣙⢊⡛⣌⠁⣰⣟⡆⠀⠀⠌⢷⣄⠡⡄⠞⣿⣯⠀⡐⢀⠂⠌⣰⣿⡟⢹ ⠃⡁⢷⡱⡐⢳⢭⠳⣜⡱⣎⠳⠱⠭⣚⡝⢮⣙⢊⡝⣣⠗⣎⡞⡜⡮⠵⡎⢰⣿⣿⠃⠀⠀⠚⢌⢿⣆⡀⢰⣿⣿⠀⡐⠠⠈⣰⡿⠋⠀⣌ ⠀⠚⠐⣧⢳⡘⢖⡈⢪⠁⢀⣎⣶⡄⠀⠈⠱⣍⠶⣍⢧⠻⡜⡌⡹⡜⢧⡃⠟⠟⠃⣎⡆⠀⠈⣖⣞⣿⡎⢁⣿⣇⠐⠠⠁⠔⠋⢀⠐⢠⣿ ⡄⠀⠱⠐⣧⠈⠳⢎⡆⠀⣟⣿⣿⣿⠀⠀⠀⠀⠹⡜⢮⡝⣱⢭⠳⣭⠳⡄⠀⠀⠀⠈⠀⠀⢘⡶⣻⣿⡏⡀⢹⣿⠀⢁⠂⡐⠈⠄⣠⣿⣿ ⡇⠀⢂⠁⠌⡙⢊⢀⡀⠀⢿⣿⣿⠇⣎⡆⠀⠀⠀⠙⣮⢜⣣⠞⣝⡲⡝⣆⠀⠀⠀⠀⠀⢀⡺⢷⣞⣿⡇⡁⢞⣿⣧⣄⣀⣀⣀⣟⣿⣿⣿ ⣷⠀⠂⠌⡐⢀⠂⠠⡄⡆⠄⡉⠀⠀⠀⠀⠀⠀⠀⠀⡺⣜⢲⡛⣬⢳⡹⣜⡀⡊⣄⢀⡐⢧⡙⣲⣿⣿⡇⡄⢞⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⠀⢂⠐⠠⠈⠄⣙⢻⡰⣁⢂⡀⠀⠀⠀⠀⠀⢆⠞⣌⠧⣝⡲⢭⡲⢥⣇⠘⣟⣀⣯⣎⣟⣿⣿⡿⣰⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⡀⠈⠄⡁⢂⠠⢫⢿⣜⢫⣷⢃⢊⡐⢊⡹⡌⡄⣏⠞⣥⠫⣃⢭⠲⣜⡭⢝⢿⣿⣿⣿⣿⡿⣕⡣⠌⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣊⣀⠐⡀⠂⠄⠬⢿⣷⣧⣚⣊⠝⣊⣳⣟⣇⠮⣝⢲⠫⡜⡮⣝⢲⣈⢧⠳⡭⣻⠟⣜⠞⣖⠁⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠁⠠⢀⠡⠀⠄⠆⣹⢿⣿⣿⣿⣿⣿⣿⡙⣞⢬⡓⢧⡌⡱⢎⡳⣜⢪⢗⣣⢇⠿⣰⢛⡀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠀⠠⢁⠂⠄⠡⢈⠠⠓⡧⣝⣛⡿⣿⡛⢧⡝⣎⠶⡉⢷⡞⢵⢫⠵⢂⢏⡞⡎⣋⠟⠅⢁⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⡁⠂⠌⠠⢁⠂⠄⡑⠈⠲⢱⢺⠎⣙⠧⣞⠬⣏⡝⢊⣩⢌⡥⣰⡍⣞⠌⡱⢉⣁⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠄⠡⢈⡐⠠⢈⠐⠠⠁⠌⡐⠈⢋⠹⢚⣬⠳⣎⢞⣣⠞⡌⣞⠱⠎⠣⣑⠀⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠠⠘⡀⠂⠄⡁⠂⠌⠠⢁⠂⠄⡁⢂⠠⠁⠀⠂⣍⡌⣄⣋⡐⣀⠀⡖⣏⢞⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠐⠠⢁⠂⠄⡡⢈⠂⡐⢈⠐⡀⠂⠄⢡⠈⠄⠈⣞⡱⢮⢵⢪⣝⢺⢬⢫⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⠀⠂⡀⢈⠐⠀⠂⢀⠐⡈⠐⠠⠁⠌⠠⢈⠐⠀⡌⣱⣋⢮⠳⣬⡓⣏⢧⡃⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣄⠐⠠⠈⠄⠡⠀⠂⠄⡉⠄⡁⢊⠐⡀⢂⢎⢳⡱⣚⢮⣹⢲⡹⣜⡲⡃⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
🌈💎🎉💜🍎🌞
⠀⠀⠀⢀⣀⣒⠬⡩⢍⠭⣑⠒⡀⣀⠀⠀⠀⠀⠀⠀ ⠀⢀⢔⢣⠒⡬⢩⠳⣊⡜⢢⡙⢌⠢⣕⠊⠆⠊⠀⠀ ⢀⢎⠎⣆⠫⡔⢣⢓⡱⡜⡡⢎⡭⣒⣥⠋⠀⢀⠢⠀ ⢞⠞⡘⢀⠓⣌⠇⠚⠰⢝⣕⠞⠉⠀⠈⠁⠀⢚⢰⠀ ⠞⢌⠳⡌⡍⡗⠒⣄⠀⠀⠀⠀⠀⡀⣲⣊⡀⠌⢘⡀ ⠈⣌⠳⡘⡌⣧⣔⣹⡆⠀⠀ ⣞⣕⣻⣿⠱⢠⠎⡇ ⠀⠈⢲⡉⢖⣹⣿⣿⡇⠀⠀⠀⢿⣿⣿⠋⠀⣜⢫⢵ ⡔⡀⣪⠹⡊⢌⠉⠉⠁⠄⠀⡠⠘⠛⠉⠀⢪⡜⡜⣟ ⢇⡣⠬⣌⠌⣞⢀⠀⠈⠄⠀⠄⠀⢀⣀⠀⢭⢌⠱⡊ ⠈⠪⣱⣌⡲⠃⠀⠘⠠⠠⠄⠀⠰⠁⠀⠀⠀⠈⣣⡇
⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟪🟪🟪🏻🏻🏻🏻🟪🏻🏻🟪🟪🟪🟧🟧🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🏻🏻🟪🟪🏻🏻🟪🏻🏻🏻🏻🟪🟧🟚🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟪🏻🏻🏻🏻🏻🏻🟪🏻🟪🟪🟪🟪🟪🟪🟧🟚🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🟪🟪🟪🟪🟪🏻🏻🟪🟪🟚🟚🟚🟚🟚🟚🟧🟚🟩🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🏻🏻🏻🏻🏻🟪🟪🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟧🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🏻🏻🏻🏻🏻🏻🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟧🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🏻🏻🟪🟪🟪🏻🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🏻🟪🏻🏻🏻🟧🟚🟚⬛⬛⬛🟚🟚🟚🟚🟚🟚🟚🟚🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🏻🟪🏻🏻🏻🟧🟚🟚⬛🟪⬜⬛⬛🟧🟚🟚🟚🟚🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟪🏻🟪🏻🏻🏻🟧🟚🟚⬛⬛⬜⬛⬛🟚🟚🟚🟚🟚🟪🏻🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟪🟪🟪🏻🏻🏻🟩🟚⬛⬜⬛🟪⬜⬛⬛🟚🟚🟪🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🏻🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟪🏻🟪🏻🏻🏻🟧🟚⬛⬛⬛🟪⬜🟧🟚🟚🟚🟪🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🏻🏻🏻🏻🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟪🏻🟪🏻🏻🏻🟧🟚🟚🟪🟪⬜⬜🟚🟚🟚🟪🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🏻🏻🏻🟧🟚🟚🟚⬜⬜🟚🟚🟚🟚🟪🏻🏻🟪🟪⬜⬜⬜⬜⬜⬜🟪🏻🟪🟪🟪🟪🟪🟪🟪🏻🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🏻🏻🟧🟚🟚🟩🟚🟚🟚🟚🟚🟚🟪🏻🏻🏻🟪🟪⬜⬜⬜⬜⬜🟪🟪🟪🏻🏻🏻🏻🏻🏻🏻🟪🏻🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟪🏻🏻🟧🟚🟚🟧🟚🟚🟚🟚🟧🟚🟪🏻🏻🟪🏻🟪⬜⬜⬜⬜🟪🟪🏻🟪🟪🟪🟪🏻🏻🏻🏻🏻🟪🏻🏻🏻🟪⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟪🏻🏻🟧🟧🟧🟧🟧🟧🟧🟧🟪🏻🏻🏻🟪🏻🟪⬜🟧🟧🟧🟧🟪🟪⬜⬜⬜⬜🟪🏻🏻🏻🏻🏻🟪🏻🏻🟪⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🏻🟪🏻🏻🟪⬜⬜🟧🟪🏻🏻🏻🟪🏻🟪🟧🟧🟚🟚🟚🟚🟚🟧⬜⬜⬜⬜⬜🟪🏻🏻🏻🏻🟪🏻🏻🏻🟪⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🏻🏻🟪🏻🟪⬜⬜🟪🏻🏻🏻🟪🏻🏻🟪🟚🟚🟚🟚🟧🟪🟊🟧⬜⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🏻🏻🏻🟪⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟪🏻🟪🏻🟪⬜🟪🏻🏻🏻🟪🏻🏻🏻🟪🟧🟧🟧🟧🟪🟪🟪🟚🟧⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🏻🏻🏻🟪⬜⬜⬜⬜⬜ ⬜⬜🟪🟪⬜⬜🟪🏻🏻🟪⬜⬜🟪🏻🏻🟪🏻🏻🏻🟪🟚🟧🟚🟧🟧🟚🟪🟚🟚🟧⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🏻🏻🟪🟪⬜⬜⬜⬜⬜ ⬜🟪🟪⬜⬜⬜🟪🏻🏻🟪⬜🟪🏻🏻🟪🏻🏻🏻🏻🟪🟧🟚🟧🟚🟧🟪🟚🟪🟊🟧⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🏻🏻🟪🟪⬜⬜⬜⬜⬜ ⬜🟪⬜⬜⬜🟪🏻🏻🟪⬜⬜🟪🏻🟪🏻🏻🏻🏻🟪🟚🟧🟧🟚🟧🟪🟪🟚🟪🟪🟧⬜⬜⬜⬜⬜🟪🏻🏻🟪🏻🏻🟪🏻🟪⬜⬜⬜⬜⬜ ⬜🟪🟪🟪🟪🏻🏻🏻🟪⬜🟪🏻🟪🏻🏻🏻🏻🏻🟪🟧🟧🟧🟧🟧🟪🟚🟚🟪🟧⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🏻🏻🟪🏻🟪⬜⬜⬜⬜⬜ ⬜⬜🟪🏻🏻🏻🏻🟪⬜⬜🟪🏻🟪🏻🏻🏻🏻🟪🟚🟚🟚🟚🟚🟚🟚🟚🟚🟚🟧⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🏻🟪🏻🏻🟪⬜⬜⬜⬜⬜ ⬜⬜⬜🟪🟪🟪🟪⬜⬜⬜🟪🟪🏻🏻🏻🏻🟪🟧🟚🟚🟧🟧🟧🟧🟧🟧🟚🟚🟧🟧⬜⬜⬜⬜🟪🏻🏻🟪🏻🏻🟪🏻🟪⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🏻🏻🏻🟪🟧🟚🟚🟧⬜⬜🟧🟚🟧🟧🟚🟚🟚🟧⬜⬜🟪🏻🏻🏻🟪🏻🟪🏻🏻🟪⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🏻🏻🏻🟪🟚🟧🟚🟚🟧⬜⬜⬜🟧🟚🟧🟚🟚🟚🟧⬜⬜🟪🏻🏻🟪🏻🟪🏻🏻🟪⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🟚🟪🟚🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟧⬜🟪🏻🏻🟪🏻🟪🏻🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🟧🏻🟪🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟧⬜🟪🏻🟪🏻🟪🏻🟪⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🏻🏻🏻🟪🟪🟪🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟧🏻🏻🟪🏻🟪🟪⬜⬜🟪🟪🟪🟪🟪🟪⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟚🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟧🏻🟪🏻🟪🏻🏻🟪🟪🏻🏻🏻🏻🟪🏻🟪🟪⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟚🟚🟧🟧🟚🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟧🏻🏻🟪🏻🟪🏻🏻🏻🏻🟪🟪🟪🟪🟪🏻🏻🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟧🟪🟪🏻🟪🏻🟪🏻🟪🟪⬜⬜⬜⬜⬜🟪🏻🟪 ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟚🟧⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟚🟧⬜🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜⬜🟪⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟚🟚🟧🟚🟚🟚🟚🟧⬜⬜⬜🟧🟧🟧🟧🟚🟚🟚🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟧🟧🟧🟚🟚🟚🟧⬜⬜⬜⬜⬜⬜⬜🟧🟚🟚🟚🟚🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟧🟧🟧🟧🟧🟧⬜⬜⬜⬜⬜⬜⬜🟧🟧🟧🟧🟧🟧⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
﹒✊﹒✿ ˚﹒✊﹒✿ ˚﹒✊﹒✿ ˚﹒✊﹒✿ ˚ 🥞₊°✧𝙛𝙡𝙪𝙩𝙩𝙚𝙧𝙚𝙝𝙮₊°✧🥞 ﹒✊﹒✿ ˚﹒✊﹒✿ ˚﹒✊﹒✿ ˚﹒✊﹒✿ ˚
⠀⠀⡠⠄⠒⠠⡀⢣⡐⢂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠞⡒⢖⡊⡀⢀⠑⢵⣞⠀⡐⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣌⠖⡹⠉⠳⣈⠒⠉⠁⠀⠈⠀⢰⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢩⠂⠕⢕⡞⠅⠀⠠⠐⠒⠀⣀⠂⡞⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢐⡄⢢⣷⡀⠀⢁⣠⣞⢺⡷⢂⡗⢞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠞⣜⣳⠿⡻⠇⠀⢏⠿⡿⠟⠁⡌⢀⡟⡇⠀⢀⠔⢂⠭⣀⠙⢕⠢⣄⠀⠀⠀ ⠀⠀⠀⠀⠑⠀⢀⣀⠀⠀⠐⢀⣡⡯⢎⠁⠔⣡⡚⠐⠒⠢⡑⢄⢡⠀⢱⡄⠀ ⠀⠀⠀⡔⠒⠄⣠⠁⠀⠀⣰⢿⣗⣲⠎⡌⡜⡡⠂⠁⠀⠈⠪⢆⢻⠀⠘⣿⠀ ⠀⠀⠀⠁⠀⣀⢞⠀⠀⠘⡊⠌⢛⢝⡉⠺⡌⠀⠀⠀⠀⠀⢀⠗⠁⡐⢡⢞⠀ ⠀⠀⠀⡀⠀⠑⠉⡀⠀⡀⢋⡉⠄⣪⡟⠠⡰⠀⠀⠀⠀⠙⢀⠔⠈⡠⢂⣟⡆ ⠀⠀⠀⢃⠀⢠⠀⡇⠀⢰⠺⣒⠊⢁⠀⠘⢀⠃⠀⠀⠀⠀⢀⣊⠊⣠⡟⣡⢿ ⠀⠀⠀⠀⠑⠁⠀⠀⠀⠀⡆⠀⠉⢣⠑⠠⣀⠀⠑⢄⠀⠀⠞⡿⠛⡁⢔⢣⠃ ⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢡⠀⠀⠈⠀⠀⢠⠑⡀⠀⠡⡀⠀⠈⢣⢔⣵⢡⣀ ⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⢞⠀⠀⢰⠀⠀⢞⠀⠰⡀⠀⠐⡄⠀⠀⢇⣜⡣⠟ ⠀⠀⠀⠀⠀⣀⣎⣇⣀⣀⣠⣷⣶⣥⣀⣀⣌⣶⣀⡇⠀⠀⠘⣀⠀⠑⠊⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠒⠒⠊⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣊⣁⠀⠈⠲⢌⢢⠀⠈⢢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⡎⢙⠖⣒⡀⠑⡀⢠⡏⡄⠆⠀⢞⢡⠉⡄⠀⠀⠀⠀⠀⠀⣀⠀⠀⠔⣩⣎⣬⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠢⢀⠎⡔⡡⣊⣀⡇⠀⡧⢣⢃⡛⢀⠔⠊⠉⢣⡎⠑⢄⠀⠀⠀⠀⡕⣿⣿⣿⡿⣿⣿⣮⣖⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢊⡕⠚⢩⠊⠀⠈⠉⠉⠀⠀⠉⠉⠓⠀⡀⡔⠀⣖⡒⢌⢆⠀⠀⠀⢘⠎⣿⡏⠀⠀⢹⣿⢟⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠋⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡅⠈⠐⡜⡄⠀⠀⢞⢞⣿⣿⣷⣶⣿⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢒⠎⠀⠀⠀⠀⠀⠀⠀⣀⣠⣌⣆⠀⠀⢢⠃⠀⠀⠈⣶⠀⠀⠘⢜⣛⡫⠭⢝⣿⣟⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠛⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡰⠀⢠⢊⡡⠀⠀⠀⠀⠀⠀⠀⡞⣵⣿⣉⣻⠀⠀⡜⣄⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⠉⣀⠉⠒⡄⠀⠀⠀⢀⠀⠒⠚⠀⠎⠶⡙⠀⠀⠀⠉⠀⠀⠀⠀⠈⢣⢻⣻⣿⠿⠄⣎⠁⠹⠢⡀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠧⡀⠒⠊⠀⠀⠀⡰⡡⢒⠠⢐⠢⣀⡠⢇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠉⣛⠑⠀⠞⢋⢄⠀⡇⠘⠌⠀⠀⠀⠀⠀⠀⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⡶⢎⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠐⠉⡆⡞⢀⢪⠒⠉⡍⠫⠑⠶⠒⠁⠀⠀⢠⡪⠓⠒⠬⡑⠀⢈⠢⠕⠀⡰⠀⠀⠀⠀⠀⠀⠰⢟⣜⡇⠀⠀⠀⠀⠀⠀⠘⠹⠟⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠒⣒⠲⡓⠿⢑⠲⢑⠕⠁⠀⠀⠈⠢⣄⡀⠀⡂⠀⠀⠈⠃⠀⠀⠀⡚⢒⠀⠀⠰⡊⠡⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⣀⠀⠀⢱⠈⠒⠐⠒⣁⠄⠀⣀⠄⡲⠊⠀⠀⠰⠈⠁⡲⠶⠊⠍⣁⠚⠀⠮⠌⠔⢁⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡿⢿⣿⠇⠀⢃⡀⢀⡌⠞⡔⠊⣀⣜⣀⣀⠀⢀⠃⢀⡮⠒⡩⠒⠒⠀⡈⠁⠒⠒⠂⠁⠀⡰⠁⠀⠀⠀⠀⢀⡠⠒⠒⠒⠂⠀⣀⠀⠀⠀⠀⠀⣇⢀⣍⢀⠅⠀⠀⠀⠀ ⠀⠀⠿⠿⣶⣟⣿⡶⠀⠀⠀⠀⣆⠀⠚⠉⠀⠀⠀⠀⠈⡝⠀⠈⠁⠰⠀⠀⡠⠀⠐⠛⠒⠂⢄⡒⠊⡘⠀⠀⠀⠀⠊⡏⠀⠀⠀⣀⠀⠐⠒⠓⠀⡀⠀⠀⠧⠬⡉⢘⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠿⠟⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠇⠀⡎⠀⠐⡖⠄⠀⠀⠀⠉⠛⠲⠀⠀⣀⠀⠑⡇⠀⠀⡔⠀⠀⠀⣀⠀⠄⡈⢆⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠢⣈⣒⣒⠡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣇⠀⢠⠁⢀⠔⠉⠀⠀⠀⠈⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⡜⠒⡠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣢⡀⠀⡠⡀⠞⡎⠑⣊⢡⡔⠢⡈⠐⠢⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠉⠢⠒⢀⠀⠃⠀⠀⠀⠀⠀⠀⠀⢀⠗⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢒⡳⡁⢁⠎⡰⠁⠀⣏⠇⣞⠀⠈⡆⠡⠀⠀⢞⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠞⣀⣘⠛⢀⠊⠀⠢⢄⣀⣀⣠⡀⠀⡲⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠻⠶⣱⡯⠊⠀⠀⡰⠁⡰⡙⠀⡰⢁⠆⠀⢀⠜⡐⠀⣟⣶⣠⣀⡄⠀⠀⠀⠀ ⠀⠀⠀⠉⠊⠊⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⢀⡀⠐⠒⠚⢊⡀⠀⠀⠀⠀⢀⠀⠀⠀⠩⣻⠅⠀⠀⠀⡰⡡⠋⡔⠀⡔⡡⠊⠀⡠⢊⠎⢀⣎⣟⡛⢛⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⡇⠀⠀⠀⠀⡀⡀⠁⣇⠀⠀⠀⠀⠹⡲⢀⣀⡀⠞⡄⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⠎⢀⢎⠆⢁⣠⢎⠎⠁⠀⠀⠉⢹⣿⠻⠿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣜⣻⡥⠀⢞⠀⠀⠀⠀⠞⣿⠟⠀⡗⠀⠀⠀⠀⢀⠃⠀⠀⠈⠉⠱⣄⠀⠀⠀⠀⠀⠀⡏⠀⡎⠀⡞⢁⢔⠕⢁⠎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢞⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⠀⡏⡆⠀⠀⠀⠀⠀⠞⠀⠀⠀⣣⠃⡎⠀⠞⡀⠣⣀⠀⢈⠕⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣄⣀⢀⣀⣀⠀⠊⠁⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⢀⢧⠇⠀⠀⠀⠀⠀⠀⠇⢆⡀⠇⠀⡆⠀⠀⠑⢄⣀⠉⣁⡠⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⡀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⣞⠋⠀⠀⠀⠀⠀⠀⢰⠣⣀⡈⠉⠒⠪⠊⣀⣀⠠⠐⠒⠐⠒⢌⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⢲⣭⣭⣥⣟⣿⣿⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⡟⡂⢄⣀⣉⣑⠒⠂⠀⢉⠢⡠⠊⠉⣐⣢⣣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢞⢿⣿⠟⠛⠻⣿⣑⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⢀⡇⠈⠑⠒⠀⠐⠛⠓⠢⢄⠑⡇⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⣿⣿⣄⣀⣠⣿⣿⣿⢌⠆⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⢞⢄⢀⠔⢈⠝⠉⠀⡰⠀⠀⠱⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠧⣛⣛⢿⣿⣿⠏⡭⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢄⣀⣀⣀⣀⠀⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠃⠀⠞⠀⠔⠊⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⢍⡋⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⢆⡀⠘⠀⢀⣀⡀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⣀⣄⣀⣀⣀⡀⠖⠋⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣀⠎⠶⠶⠶⣶⣶⠶⠊⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠞⠋⠁⠀⠈⠙⠲⣀⠀⠈⢿⣊⠀⠀⡎⡝⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡎⠋⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⠲⣄⠹⣧⠀⢻⣇⠀⠀⠙⣊⠟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡞⠛⠉⠉⠙⣯⠈⣿⢶⡊⢀⣄⠀⠀⠈⠳⣜⢧⡘⣿⠀⠀⣰⠋⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡿⠒⠋⣩⣭⠀⠬⠷⡃⢰⠏⠳⣄⡉⣳⡀⠎⠚⠛⠛⠛⠒⡶⠃⠀⠀⢀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⢁⡎⠛⡇⠹⡄⠀⠀⠹⣏⠀⢀⡏⢻⡏⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢞⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⣟⠀⠀⢹⡀⠹⣄⠀⠀⣌⢷⡚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⢞⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⡏⠙⠲⣄⠹⣄⠈⠳⣶⠧⡀⠁⠀⠀⠀⢀⡠⠶⠒⠒⠊⢄⠀⠀⢀⡌⠁⠀⣌⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⡀⠀⠈⠳⣌⠓⢀⡿⠀⢰⡀⠀⠀⢰⠏⠀⠀⣠⠀⡄⠀⢱⣊⡟⠁⠀⣰⡇⠀⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠊⣄⡀⠘⢇⢠⣷⣀⣄⡇⠀⠀⡇⠀⠀⢀⣿⣀⣧⣎⣯⣜⣧⡌⠃⡿⢹⡀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⡀⠟⠛⢊⡘⡇⣿⣿⢿⡇⠀⠀⣇⣠⣶⣿⣿⣿⣄⠀⣗⠟⠛⠀⢞⢿⠀⢧⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣟⠉⢹⣷⣶⣎⣷⣥⠟⣿⣿⠁⠀⠀⢹⠈⣿⣿⣿⣬⡿⢭⠟⠓⠒⢀⣿⠘⡄⠘⣿⢞⠀⠀⠀⠀⠀⠀⠀⣀⡀⠖⠚⠉⠉⠉⠙⠻⢜⡒⠶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠷⢀⣈⣹⠟⠟⠁⡎⠟⠁⠀⠀⠀⠞⠧⣘⣛⣛⡿⠖⠃⠀⠀⠀⢞⠟⠀⡇⣰⠇⢞⠀⠀⠀⠀⢀⡎⠚⠁⣀⡠⠎⠒⠊⢀⡀⠀⠀⠘⢊⡀⠙⠳⣊⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣄⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡏⠀⣇⡿⠃⠀⣟⠀⠀⢀⡎⠋⢀⡎⠚⠁⢀⣀⣀⣀⡀⠈⠳⣄⠀⠀⢷⡀⠀⠈⠻⣊⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢯⣀⣀⣀⣀⣀⣀⠀⠒⠛⠉⠀⠀⣞⣧⣎⣿⠎⠛⢉⡟⠀⢠⠟⠀⡎⢋⣠⠖⠋⠁⠀⠀⠀⠙⠳⣄⠈⠳⣄⠈⣧⠀⠀⠀⢞⢿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⡌⠁⠀⠀⠀⠀⠀⠀⢀⣎⣿⢿⣋⣀⡀⠀⡌⠀⣰⠇⢀⣞⡵⠋⠀⣠⠎⠖⠋⠉⠙⠲⢀⡈⢣⡀⠙⣆⢞⠀⠀⠀⢞⢟⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡌⠋⠉⠙⠊⣄⠀⢞⠃⠀⠀⠀⠀⠀⠀⣎⢻⠟⣵⣮⣭⠀⣿⣶⠃⢀⡇⢠⣯⠋⢀⡎⠋⠁⠀⠀⠀⠀⠀⠀⠀⠙⢊⠱⡀⠘⣿⠀⠀⠀⡌⢞⠘⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⣞⠃⠀⠀⠀⠀⠈⠙⡏⠀⠀⠀⠀⠀⠀⣌⢡⠏⠀⣧⠜⢻⡌⢻⣧⣄⣌⢀⡞⠁⡎⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠹⣎⠇⠀⠀⣰⠃⢞⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢊⡀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢿⣮⣀⣀⡌⠶⠋⣠⠞⣇⠀⠉⠻⢧⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠷⠁⠀⠀⣰⠃⢀⡏⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠘⣟⠳⣀⣹⡀⠀⠀⠀⠀⠀⠈⣧⣀⣀⣀⠎⠚⠁⣎⣿⡀⣶⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠎⠚⠉⠀⠀⣠⠞⠁⠀⡜⠀⢠⣯⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⢣⠀⠞⡇⠀⠀⢰⡀⠀⠀⢻⠀⠀⠀⢀⡠⠞⠁⣌⠠⠇⢠⡀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⢀⣀⡎⠚⠁⠀⢀⡜⠁⢀⣟⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⡇⠀⢧⠀⠀⠀⠱⣄⠀⢞⣷⣒⡊⣉⣀⠎⣺⠿⠇⠀⡆⢞⡄⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⡁⠀⠀⠀⣠⠏⠀⢀⣟⣿⡟⢻⡄ ⠀⠀⠀⠀⠀⠀⠞⣇⠀⠀⠀⠀⢰⠇⠀⢞⠀⠀⠀⠀⢻⡶⣜⠧⠀⠀⠎⠚⢫⠀⠀⠀⠀⠙⡟⠀⢞⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣀⡀⠚⠁⢀⣎⣿⡿⠋⣠⡏⣿ ⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⢠⡞⠀⠀⢞⡇⠀⠀⠀⠀⣧⠈⠳⠊⣄⡀⠀⠀⠱⣄⠒⠀⠀⠀⠀⣌⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣏⠀⢀⣎⣿⡿⠋⢀⡎⡟⢱⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢊⡀⠞⠀⠀⠀⠈⡇⠀⠀⠀⠀⢹⡄⠀⠀⠈⠉⠑⢲⡖⠚⠳⣄⠀⠀⠀⠀⠉⠉⠙⢷⡄⠀⠀⠀⠀⠀⠀⣞⣿⣿⣿⣟⡿⠟⠁⠀⣠⠞⡌⢁⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠙⠲⣀⣀⠀⠀⠀⠀⠙⢊⠀⠀⠀⠀⠀⠘⢿⣟⠋⠁⠀⣀⡎⠊⢁⡞⢠⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠞⡇⠀⠀⠀⠀⢹⠈⢳⡄⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠈⠳⡖⠋⠉⢀⡎⠏⣎⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⢞⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⡇⠀⠹⡄⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠘⣶⠒⢋⣀⣟⡏⢰⣿⣿⣊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠞⣇⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⣇⠀⠀⠙⡄⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠞⢷⠋⡏⢞⣅⡟⢻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣞⠃⠀⠀⠀⠀⠀⣿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢀⡟⣇⢧⡈⠻⢶⡿⠿⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠃⠀⠀⠀⠀⠀⠀⢞⡀⠀⠀⠀⣎⠋⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠘⣧⡈⠳⠜⢶⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣎⣶⣶⣯⡀⠀⠀⠀⠀⠀⠀⣞⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣌⣷⣶⣶⣶⣶⣟⡇⠀⠀⠀⠀⠀⠀⢷⡄⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⢿⣿⣿⣿⣶⣶⣶⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⣞⣷⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
˚˖𓍢֎֎໋🎠🏹˚˖𓍢֎✧˚.
⠀⠀⢀⣀⣀⣀⠀⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢈⢿⡟⡓⠌⠋⠀⡁⠠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡎⣎⣅⠓⠉⢟⣿⣟⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠷⠉⠹⣵⠀⢋⡿⣙⣰⠀⠀⠀⠀⡀⠄⠒⠒⠢⢄⠀⠀⠀ ⠀⠀⠀⠪⢠⡀⣰⣟⠏⣇⠀⠀⣀⣀⣀⡀⠀⠀⠊⠣⡀⠀ ⠀⠀⠀⠀⠀⡰⠁⡈⠀⢊⠀⠠⢿⠁⠈⠙⢅⠀⠁⡄⣷⠀ ⠀⠀⠀⠀⠀⢠⡀⠙⠊⠊⠁⠟⠚⠀⠀⠀⠈⣎⠀⠀⡇⡆ ⠀⠀⠀⠀⠀⠀⢂⠃⡒⠒⢗⢄⠐⢆⠀⠀⠀⣿⠆⢠⡠⠃ ⠀⠀⠀⠀⠀⢀⠂⢀⠐⠀⠀⢡⠀⠈⢂⠀⢀⣿⣠⠞⠁⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⠇⠀⠰⠀⠀⠈⡆⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠓⠀⠒⠈⠈⠁⠀⠈⠓⠐⠂⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣀⣀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⢋⡁⣠⠜⠆⠬⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢘⠰⠀⢠⢁⣄⡀⠀⠘⢱⠀⡐⡖⠩⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡔⡀⠈⡚⣿⣯⠖⠂⠆⣶⢀⡰⢋⠄⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠈⢮⣿⠄⢈⢉⢀⠊⡞⡏⢊⠖⣁⡶⡈⠁⢀⠀⠉⢂⠀⠀⠀⠀ ⠀⢠⣄⢹⠄⡀⡞⡁⡐⠡⠀⢛⠳⠛⡃⠀⠐⡄⠀⠀⠀⠆⠀⠀⠀ ⠀⠩⣒⣊⡀⢱⠏⠌⠀⠄⡈⣌⠑⢻⠁⠀⠀⢰⠀⠀⢀⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠞⣚⠀⠌⢚⠀⠑⡑⡀⠀⠀⢀⠇⠀⠂⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡂⠬⠁⠀⠀⡇⠀⠀⢠⠃⣠⠃⠠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠎⠀⠠⠀⠰⠀⠁⠀⠧⣰⢁⠈⢐⠲⠶⠶⠎⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⠂
⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣗⢊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⢷⡄⠈⠛⠿⢷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣟⣊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠈⠙⠻⣊⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠙⠻⣊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣜⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠘⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣇⠀⠀⠀⢈⠻⣊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡿⠀⠀⠀⢞⡇⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣜⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡇⠀⠀⠀⣞⡇⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠃⠀⠀⢠⡿⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣎⣿⡿⠿⠛⠛⠛⠛⠛⠚⠿⠜⣿⣶⣀⣀⠀⠀⠞⢿⡄⠀⠀⠀⠀⣠⣟⣀⣀⡶⠶⠟⠛⠛⠻⠷⢶⣀⣀⣿⠁⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢯⣄⡀⠘⣷⠀⠀⣠⣟⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣊⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣜⣊⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡇⠀⠀⠀⢿⡀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢞⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠓⢢⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠐⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⡏⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢞⣇⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⡄⠀⠀⠀⠀⠉⠙⠓⠻⠭⠭⠉⡒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢞⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⢰⡇⣟⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣇⠀⠀⠀⢿⡀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣟⢁⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⣟⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢞⣇⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣿⣿⣿⣟⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣺⣏⣟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⢰⡯⣟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⣿⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣱⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣌⠏⠀⠀⠀⠀⠀⠀⡿⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢹⠆⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⢷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠃⠀⠀⠀⠀⠀⠀⣌⠃⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⢞⡇⢀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⢰⡟⣞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣎⣶⠿⠿⠿⠿⢶⣊⣄⠀⠀⢡⡀⣿⠀⡀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠀⢞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣌⠋⠀⠀⠀⠀⠀⠀⠀⢀⡿⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡌⠉⠉⠀⠀⠀⠀⠀⠀⠉⠙⢷⡄⠀⢻⣿⠀⠃⠀⠀⠞⣧⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣏⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣳⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣌⣃⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⣀⣀⡄⠀⠈⣿⡄⠀⣿⠀⡁⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠞⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⣌⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢂⡌⠋⢻⡄⠀⢞⡇⠀⣿⠀⡃⠀⠀⠀⢞⣷⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⣞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢀⡟⠁⠀⠈⠗⠀⢞⡇⠀⠟⠀⠁⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣁⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡌⢃⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⣠⣎⣶⣿⣿⣷⣊⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⡀ ⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣊⡀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠰⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣞⣿⣿⣿⣿⡿⠿⠿⠿⠟⠁⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⠏⠀⠀⣜⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣿⣿⣿⣿⣿⠷⠀⠀⢹⣿⣿⡿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣟⢿⣿⣿⣿⣿⢿⠀⢠⣿⣿⣿⠟⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣟⣿⣿⣿⠟⠘⠀⣿⣿⣿⡿⠀⠀⢞⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠻⠿⠿⠟⠋⠀⠀⢞⣿⣿⣿⣧⠀⠀⢞⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⡿⠛⠀⠀⠞⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬛⬛⬛⬛⬛⬛⬜⬛⬛⬜⬜⬜⬜⬜ ⬜⬛🟥🟥🟥🟥🟥🟥⬛🟊🟊⬛⬜⬜⬜⬜ ⬛🟥🟥🟧🟧🟧🟚🟚🟚🟚🟊🟊⬛⬜⬜⬜ ⬛🟥🟧🟧🟧🟚🟚⬛⬛🟊🟊🟊🟩⬛⬜⬜ ⬛🟧🟧⬛⬛⬛🟊🟊🟊🟊⬛🟩🟩🟪⬛⬜ ⬛🟧⬛⬜⬛🟊⬛⬛⬛🟊🟊⬛🟩🟪⬛⬜ ⬛⬛⬜⬛🟊⬛⬜⬜🟊🟊🟊⬛🟩🟪⬛⬜ ⬜⬜⬜🟊⬛🟫🟫⬜🟊🟊🟊⬛🟩🟪⬛⬜ ⬜⬜⬛🟊🟊⬛🟫⬜🟊🟊🟊⬛🟊🟪⬛⬜ ⬜⬜🟊🟊🟊⬛⬜🟊🟊🟊⬛🟩🟊🟪⬛⬛ ⬜⬜⬜🟊🟊🟊🟊🟊🟊🟊⬛🟊🟪⬛🟊⬛ ⬜⬜⬜⬜🟊🟊🟊🟊🟊⬛🟊🟪⬛🟊⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟊⬛🟊🟪⬛🟊⬛🟊⬛ ⬜⬜⬜⬜⬛⬛🟊🟊⬛🟪🟪⬛🟊🟊⬛⬜ ⬜⬜⬜⬛⬛🟊🟊🟊⬛⬛⬛🟊🟊⬛⬜⬜ ⬜⬜⬛🟊⬛🟊🟊🟊⬛🟊🟊⬛⬛⬜⬜⬜ ⬜⬜⬛🟊⬛🟊🟊⬛🟊🟊🟊⬛🟥⬛⬜⬜ ⬜⬜⬜⬛⬛🟊🟊⬛🟊🟊⬛🟚🟚🟥⬛⬜ ⬜⬜⬜⬜⬜⬛🟊🟊⬛⬛⬛⬜🟚🟧⬛⬜ ⬜⬜⬜⬜⬜⬛🟊⬛🟊🟊⬛⬜🟚🟧🟥⬛ ⬜⬜⬜⬜⬜⬛🟊⬛🟊⬛⬜⬜🟩🟩🟧⬛ ⬜⬜⬜⬜⬜⬛🟊⬛🟊🟊⬛⬜⬜🟊🟧⬛ ⬜⬜⬜⬜⬜⬛⬛⬛🟊🟊⬛⬜⬜🟊🟧⬛ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜🟪🟧⬜
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢎⣖⠚⢻⡉⠉⠉⠉⠙⠲⡟⠁⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠞⠉⠀⠀⠈⠳⣄⠙⡆⠀⠀⠀⣰⡇⠀⠰⡄⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣟⣉⣀⣀⣄⣀⣀⠀⠀⠈⠳⣞⡎⠚⠉⢹⠇⠀⠀⢹⠀⢞⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡎⠋⠀⠀⢀⣀⣀⣀⣀⣈⠉⢒⡶⠋⠀⠀⠀⠀⠀⠀⠀⢞⠀⠘⡇⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⣡⠎⠒⠋⠉⠁⠀⠀⠀⠉⢩⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⠇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠏⠀⠀⣠⠎⠖⠒⠒⡊⢀⣀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠆⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣞⠀⠀⢰⠇⠀⠀⠀⠀⣿⣶⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⣌⠀⠀⢀⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⡆⠀⢞⠀⠀⠀⠀⣀⣿⡆⢹⡄⠀⠀⠀⠀⣀⣀⠀⠎⠿⠿⠃⢰⠇⠀⠀⣞⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⠀⠈⢧⡀⠀⠀⡿⠻⣿⣿⣷⠀⠀⢠⡞⠉⠀⠀⠀⠀⠀⢠⠏⠀⠀⢠⢇⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⡀⠈⠳⣄⠀⠀⠀⠹⣿⣿⠀⠀⠈⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢠⠏⡞⢞⠃⠀⠀⠀⠀⠀⠀⢀⣠⠎⠒⠋⠉⠁⠀⠀⠉⠉⠒⢊⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢊⡀⠈⠳⣄⡀⢰⣞⠁⠄⢠⡀⠀⠀⠀⠀⣀⡌⠃⠀⠀⢠⠏⡜⠁⢞⢀⣀⡀⠀⢀⣠⡎⠋⣁⣀⠀⠀⣄⣀⡀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠊⣀⠈⠛⠊⣍⠓⠊⠟⠀⠀⠀⢎⡟⡿⠀⠀⠀⡰⠃⡞⠁⠀⣟⣉⣀⣀⣠⣀⣬⣿⣯⣀⣀⣀⠀⠀⠀⠉⠳⢀⡀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⢊⣀⠈⠙⢶⣀⠀⠀⠀⢠⡿⠁⠀⠀⡌⠁⢠⠇⠀⢰⠏⠛⣶⠶⠒⠉⣉⡀⢿⡄⠀⠈⠙⢆⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣀⠀⠈⠳⣄⠀⢞⠃⠀⠀⡌⠁⠀⡞⠀⢀⡞⠀⠀⠈⠙⡿⠉⣀⣀⣏⡷⠀⠀⠀⠈⢧⠀⠀⠀⠀⠘⣆⠀⠀⠀⢞⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠈⢧⣞⠀⠀⢞⠁⠀⢞⠃⠀⡌⠁⠀⠀⢀⣟⠗⣫⡿⠻⢯⡇⠀⠀⠀⠀⠞⡇⠀⠀⠀⠀⢹⠀⠀⠀⣌⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡶⢲⠶⠊⣄⠀⣿⢊⠀⠈⢿⣇⠀⢞⠀⠀⡜⠀⢰⡗⠊⠀⠀⠟⠟⣺⠏⠀⠀⣞⠀⠀⠀⠀⠀⢀⡧⠀⠀⠀⠀⡿⠀⠀⢠⠃⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⢯⡀⠀⠀⣰⠇⠘⡄⠀⢞⠿⣆⢞⠀⠀⣇⠀⠞⡇⠀⣶⣀⣿⣿⡏⠀⠀⣠⡇⠀⠀⠀⠀⠀⣞⡇⠀⠀⠀⣰⠁⠀⢠⠋⢰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣊⡀⠙⠛⠛⠁⠀⠀⣧⡎⠋⠀⠘⢟⣆⠀⠞⡄⠀⠹⣆⢹⣻⡟⡏⢷⠀⠀⠘⠉⢷⡀⠀⠀⢠⡟⠀⠀⠀⡰⠃⠀⡎⠃⠀⣌⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⠶⠶⠖⠋⠁⠀⠀⠀⠀⢞⠛⢶⣄⠹⣄⠀⠈⠙⠋⢡⠇⠈⡇⠀⠀⠀⠈⣇⠀⢠⡟⠀⠀⢀⠜⠁⡠⠊⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠀⠀⠈⢻⠺⠷⠀⠀⣶⢻⠀⠀⢿⠀⠀⠀⠀⢞⣠⡟⠀⠀⣠⠋⡰⠊⠀⠀⣠⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢀⡟⠀⠀⠀⠀⣿⢞⠀⠀⣌⠀⠀⠀⠀⢞⡏⠀⠀⡌⢣⠊⢀⣠⠎⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠀⠀⠀⣞⠃⠀⠀⠀⠀⣿⡌⠀⠀⡏⠀⠀⠀⠀⣿⠀⠀⢰⢱⠃⠀⣏⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⢀⡇⠀⠀⠀⠀⠀⣿⠃⠀⢰⠃⠀⠀⠀⠀⢻⣄⠀⡇⠞⣄⠀⠈⠛⠛⠛⠛⠋⠉⣉⣀⣀⡈⠉⠓⢊⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⣇⣀⣠⠏⠀⠀⠀⠀⠀⢞⠙⠳⠟⣀⣙⣊⣀⣀⣠⠎⠖⠛⠉⠁⠀⠀⠉⠙⠲⣄⠙⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣀⣀⣀⣌⠁⠀⠀⠀⠀⠀⣌⠃⠀⢿⣀⣀⣀⣀⣀⣰⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣞⣶⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠉⠉⠉⠀⠀
⠀⠀⠀⡀⠀⠄⠠⠀⠄⠠⢀⠐⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣌⣿⡟⣯⢯⡜⣹⢭⣿⡜⣭⢯⠜⣭⢯⡜⡭⢯⡜⣭⢯⡜⣭⠯⣝⢯⡝⣿⣏⠰⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢡⠎⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠀⢂⠐⠀⠂⠐⠠⠀⠐⠀⡀⠂⠀⣶⠶⢶⡄⠀⠂⣎⠶⠶⣊⠀⣞⣿⡟⣹⢖⣏⢟⡱⣏⢟⣷⢳⣎⠿⣜⡞⣶⡹⢧⣳⢳⣎⠷⣎⣿⣟⣿⣚⠷⣏⠀⠀⠀⠈⠙⠒⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠶⢊⠀⠀⠀⣎⠶⢶⡄⠀⠀⠀⠀⠀⠀⠀⢈⠲⠌⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠁⠀⠀⠐⠀⠂⢀⠐⠀⠐⠀⠠⠀⣿⠶⢟⡇⠀⠀⢟⠂⢀⠿⠒⢿⣷⣯⠷⢞⠺⠷⣿⡟⠿⢟⣷⠟⢿⣟⡜⢶⠻⠷⣯⣳⣮⣿⡿⠏⠀⠞⢿⠿⠷⣀⠶⠶⣊⡎⠶⢶⣀⡎⠖⠶⢧⣄⠀⠀⢀⣀⡎⠶⡲⠊⣌⡷⠧⢿⣠⠶⠒⠿⠀⢞⣟⣀⠶⠖⠶⣊⣀⣀⠶⢓⠟⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⡀⠈⢀⠐⠀⠠⠀⠀⡐⠀⠠⠐⠀⣿⠀⢞⡇⠀⠀⣻⠁⠀⣶⡆⠈⣿⣧⠀⠟⠆⠀⢹⣷⠀⠘⡏⠀⣌⡏⠀⠟⠷⠀⠘⣿⣷⣻⣷⡆⠀⢲⣟⡆⠀⡿⢠⡀⢞⠇⢠⣿⠁⠀⡖⡊⠀⢻⡌⠓⢞⣇⠀⠙⠓⠀⣿⡇⠀⣹⡏⠀⣰⣶⠀⢞⡿⠀⠠⠿⠆⠈⣿⡁⠀⠛⠂⢀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⠀⠀⠠⠀⠀⡐⠀⠠⠁⠀⠠⠀⠐⠀⣿⠀⢞⡇⠀⠀⣻⠂⠀⣿⡇⠀⣿⡁⠀⠟⢋⠀⠘⣿⣧⠀⠀⣞⣿⣇⠀⠛⠟⠉⢩⣟⢶⣣⢿⡇⠀⠘⢿⣿⡀⠀⢰⣇⠈⠀⡟⠹⣄⠈⠓⠃⢀⣌⠙⠀⠞⣏⠉⠲⠖⠀⣞⡇⠀⣹⣧⠀⠙⢋⡀⢞⣿⡀⠘⠿⠋⢉⣿⡉⠑⠶⠆⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠂⢀⠀⠁⠀⠠⠀⠀⠄⠀⡀⠌⠀⠛⠛⠛⠃⠀⡀⠙⠛⠛⠋⢻⣿⡟⣿⣲⣶⢿⡳⣖⣿⣻⢿⡟⣟⢧⣛⢿⡲⢶⡞⣿⡹⣎⠷⣭⢟⡷⢶⡻⣝⣟⠛⠛⠙⠛⠛⠁⠀⠈⠙⠒⠒⠋⠈⡀⡄⠀⠈⠙⠒⠒⠊⠁⠛⠛⢛⠈⠙⠓⠋⠛⠛⠀⠉⠓⠒⢒⠋⠁⠉⠓⢒⡒⠯⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠄⠀⡀⠈⠀⡀⠠⢀⠀⢂⣠⣀⣶⣟⢿⣟⡿⣿⣻⢿⡷⣶⣀⣹⣷⡟⣶⣟⢧⣏⠷⣿⣜⣫⡟⣟⢹⢮⡝⣮⡝⣧⣛⢶⡹⣎⠿⣜⣏⡞⣧⢻⡜⣧⠘⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢧⠀⠀⠀⡇⡇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⢳⠀⠀⠀⠈⡗⣡⢋⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠁⠀⡀⠀⡀⠄⠀⢠⣀⣟⢿⡿⣜⢫⡝⣯⢺⡵⣣⢏⣯⣛⠿⡜⣟⡟⣿⢟⣮⢳⣎⣿⢷⣯⢷⡹⣎⡟⣮⡝⣶⡹⢶⡹⣎⠷⣭⢻⡜⣮⡝⣮⢳⣝⣳⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠞⠀⠀⠀⠃⠆⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠱⡀⠀⠀⡗⢀⢃⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠁⠀⡀⠄⣠⣟⢿⣻⢞⡯⣞⡵⣫⢞⡵⣫⢞⡵⣫⠶⣭⢻⡵⣫⡿⣿⢺⣜⡳⢟⣯⣟⡧⣏⢷⡹⡞⣵⢺⡵⢫⢷⡹⣎⠿⣜⢧⣛⢶⡹⣎⠷⣎⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠱⡄⠀⠘⠂⠎⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠁⡀⢠⣟⢿⣜⣫⢗⡯⣞⣌⠳⠛⠚⠓⠻⢮⣳⢭⡻⣜⢧⡻⢵⣿⣻⡳⢮⡝⣿⣳⣿⡱⣏⢟⣱⢻⡜⣧⢻⡝⣮⢳⣭⢻⡜⣧⣛⢮⡳⣭⢻⡌⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⢱⡀⠄⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠂⣎⡿⣯⣟⢶⡹⣎⢷⡞⠡⢈⡀⠧⠬⢀⡁⠙⢟⣱⢏⡟⣹⢳⢟⣻⣯⢳⡝⣷⢯⡷⣹⢎⡷⣭⢳⡝⣮⢳⡝⣮⢳⣎⢷⡹⢶⡹⣎⠷⣭⢳⣳⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢠⠃⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢣⡀⠀⠄⠐⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡁⣌⡿⣜⡻⣜⢧⡻⣌⠏⢀⣢⠋⠀⠀⠀⠀⠙⢊⠂⠹⣟⡱⣏⡻⣎⣷⢿⣣⢟⣯⣟⣷⡹⣎⠷⣭⢳⡝⣮⢳⡝⣮⢳⣎⢷⡹⢧⡻⣜⡻⣜⢧⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⢧⠀⠠⠀⠀⠄⠈⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢁⣌⡿⣜⡳⣝⢮⡳⣝⡏⢀⡲⠁⠀⠀⠀⠀⠀⠀⠀⠱⡡⠘⣷⢭⡳⣝⠟⣟⣧⢟⣟⡜⣷⡹⣎⠿⣜⢧⡻⣜⢧⡻⣜⡳⣎⢷⡹⢧⡻⣜⡳⣝⠟⣌⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⢃⠀⠘⡆⢀⠐⠀⠠⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣌⡿⣜⣏⢷⡹⣎⢷⡻⢀⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡆⠘⣯⡳⣭⢻⣜⡿⣞⣌⡿⣜⣳⢭⡻⣜⢧⡻⣜⢧⡻⣜⡳⣝⢮⡝⣧⢻⣜⡳⣭⣛⢶⣻⠀⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢧⠀⠀⠠⠀⠀⠁⠀⡀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⡜⣟⡌⣣⢟⡌⣳⠇⡀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡌⠹⡷⣭⢳⣎⢿⣿⡲⣿⡜⣧⣏⢷⡹⣎⢷⡹⣎⠷⣭⢳⡝⣮⡝⣮⢳⣎⢷⣣⢟⣮⢳⠀⠠⠂⢁⣠⠎⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠘⡆⠀⢀⠐⠀⠁⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣟⢯⣿⢣⡟⣵⢫⡞⡜⠀⣌⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢣⡐⢿⣜⡳⣎⢯⣷⠟⡙⣿⣜⣎⢷⡹⣎⢷⡹⣎⠿⣜⢧⣛⢶⡹⣎⠷⣎⢷⡹⣞⡌⣻⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⡀⠀⠂⠈⠀⡀⠁⢀⠀⠀⠀⠀⠀⠀⠀ ⢀⡿⣯⣏⢷⡹⣎⢷⣹⡇⠁⡆⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠞⣧⢻⡌⠏⢁⡎⠊⠹⣞⡿⣎⡷⣹⢎⡷⣭⢻⡜⣧⣛⢮⡳⣭⢻⡜⣧⢻⡌⣱⢿⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⠄⠀⠂⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀ ⢞⣟⡷⣎⢷⡹⣎⢷⣹⠠⢹⠃⠀⠀⠀⡌⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡌⣿⠏⢡⡎⠋⠀⠀⠀⠘⣿⣻⢷⡹⣎⠷⣭⢳⡝⣶⡹⣎⠷⣭⢳⡝⣮⢳⡝⣧⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⠀⠀⠀⡐⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀ ⢞⣯⡜⣎⢷⡹⣎⢷⣹⠀⢺⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢁⡎⠋⠀⠀⠀⠀⠀⠀⠈⠻⣯⢿⣌⢻⡜⣧⣛⢶⡹⣎⠿⣜⢧⡻⣜⢧⣛⣶⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⠈⠀⠀⠀⢈⠀⠀⠂⠀⠀⠀⠀⠀ ⣻⣞⢷⡹⣎⢷⡹⣎⡧⠈⢌⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠫⣿⣳⣟⡶⣹⢎⡷⣭⢻⡜⣧⢻⡜⣧⢯⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⢀⠀⠁⠀⠠⠀⠈⠀⠀⠀⠀⠀⠀ ⡷⣯⢷⡹⣎⢷⡹⣎⡗⢁⢺⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢿⣜⣳⣯⡞⣵⢫⡞⣵⢫⡞⣵⣿⣳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣟⣿⣿⣿⣿⣿⣿⣊⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠠⠀⠀⠂⠁⠠⠀⠁⠀⠀⠀⠀⠀⠀ ⡿⣭⣏⠿⣯⣞⡵⣫⢟⠠⢞⠀⠀⠀⠀⢳⢞⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠟⣜⡷⣯⢟⣱⣏⢟⣹⡟⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠟⠉⠁⠀⠉⠙⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⠄⠀⠄⠀⡐⠀⠈⠀⠀⠀⠀⠀⠀ ⣟⣷⣫⢟⡌⣛⡷⣜⣟⠀⢺⠀⠀⠀⠀⠘⡔⡆⠀⠀⠀⢰⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠯⢿⣳⡿⣜⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣿⣿⣯⣀⣶⣶⣶⣶⣀⣄⠀⠀⠙⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠂⠀⡀⠠⠀⠀⠠⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀ ⢜⡶⣏⢟⡱⣏⠟⣭⢻⡌⠌⡇⠀⠀⠀⠀⢱⡞⡀⠀⠀⢹⣿⡄⠀⠀⠀⢀⣀⣶⣟⣿⣿⣶⣶⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣿⣿⣿⢿⣜⠗⠛⠚⠷⣯⣟⣿⣊⡀⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢠⠇⠀⠐⠀⠀⠀⠄⠀⠁⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀ ⢞⡿⣜⢎⡷⣭⢻⡜⣯⢗⠠⢇⠀⠀⠀⠀⠀⢳⢣⠀⠀⠈⢿⣿⣆⠀⣎⣿⡿⠋⠁⠀⠀⠀⠀⠉⠻⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢯⡟⠀⠀⠀⠀⠀⠀⠉⠳⣟⣿⣄⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⡐⠀⢀⡎⠀⢀⠠⠐⠀⠠⠀⢀⠈⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀ ⢞⣿⣹⣎⠷⣭⢳⡝⣮⢻⡄⠚⡆⠀⠀⠀⠀⢞⣿⡆⠀⠀⠀⠛⢿⣿⣿⠋⠀⠀⠀⢀⡠⢔⠒⡒⢒⠢⢜⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣜⣊⠀⠙⣿⣷⡀⠀⠀⠀⠀⠀⡐⠁⢀⠎⠀⠀⠀⠀⠀⡀⠀⠄⠀⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣳⣏⠿⣜⢧⡻⣜⢯⢷⡀⢳⡀⠀⠀⠀⠈⠻⣿⣊⣀⠀⠀⣌⣿⠃⠀⠀⢀⠖⡩⠐⡌⢂⡑⢚⡎⠖⠚⠿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⣆⠀⠘⣿⣷⠀⠀⠀⠀⡔⠀⡰⠋⠀⠀⠂⠁⠀⡀⠀⠠⠀⠀⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣷⣻⡟⣌⢣⡟⣌⢫⡞⣧⠀⢳⠀⠀⢀⠀⠀⠈⠻⠿⣿⣟⣿⠃⠀⠀⢠⠋⡔⠡⡁⡐⣢⣎⠏⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠘⣿⣷⠀⠀⠊⢠⡎⠀⠀⠀⠂⠀⠐⠀⠀⡀⠀⠐⠀⠁⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡷⣿⡜⣧⢻⡜⣧⢻⡝⣆⠂⠳⡀⠚⣧⡀⠀⠀⠀⠀⣟⡟⠀⠀⠀⡏⠐⡠⠁⣎⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣇⠀⠀⠘⣿⣷⣀⣀⣀⣁⣀⡀⣁⣀⠀⠂⠀⡀⠀⢀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢞⣿⡜⣿⡜⣧⢻⡜⣧⢻⡝⣧⢂⠙⣄⠘⢻⣷⣊⣀⣄⣿⠃⠀⠀⢞⠠⠁⠄⣱⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣿⣿⣿⣿⣿⡟⠋⠛⠿⣊⣄⠀⠀⠀⠀⠀⠀⢰⣯⢿⠀⠀⠀⠘⣿⣯⠙⠛⠛⠛⠛⠉⠁⠀⠠⠀⠀⠄⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢞⣟⣯⣟⣟⡱⣏⢟⡱⣏⠟⣭⠷⣄⠈⢢⡀⠈⠙⠛⠛⢻⠀⠀⠀⣿⠀⠡⢚⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣿⣿⣿⣿⣿⣇⠀⠀⠀⠙⣿⣿⣶⣀⣀⣀⣶⣟⡎⣿⠀⠀⠀⠀⠘⢿⣷⣀⣀⣀⣀⣀⣀⣀⠀⠀⠄⠀⠈⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣻⢞⣯⣿⣌⢣⡟⣌⢻⡜⣯⣛⣮⣄⠙⢄⡀⠀⠀⢹⠀⠀⠀⣷⠈⠠⢞⣿⣿⣿⣿⡿⢿⣿⣄⠀⠀⠀⠀⠀⠀⢞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣊⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣗⡺⣹⠄⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⡯⠅⠀⠠⠀⠂⠁⡀⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⢿⣫⢞⡵⣿⣳⡜⣎⢷⡹⢶⣹⢺⡜⣟⣊⠙⢢⣀⠈⡀⠀⠀⢱⠀⠄⢞⣿⣿⣿⣿⠀⠀⠈⢻⣊⣀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠶⢹⠀⠀⠀⠀⠀⠀⠀⠀⢚⠉⠉⠁⢀⠀⠠⠁⢀⠐⠀⡀⠈⠐⠠⣀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣟⣧⡻⣜⢧⡟⡿⣿⢮⣝⢧⣏⢷⡹⣞⣌⡂⢉⡆⠀⠇⠀⠀⠞⡀⠠⢞⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣷⣶⣀⣀⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⠀⠂⠀⠈⠀⡀⠂⠀⠠⠀⣀⠀⠉⠓⢄⠀⠀⠀⠀⠀ ⠀⠀⢀⠈⣿⣻⣵⣫⢞⣭⢳⣭⣛⠿⣟⣌⣣⡟⡌⣎⣇⠂⢇⠀⠞⠀⠀⠀⣇⠀⠀⣿⣿⣿⣿⣿⣶⣀⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⠀⡀⠱⡀⠀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣷⣻⣻⢟⣜⣳⢮⣝⣛⢶⣣⢯⣝⡳⣭⣳⠈⢌⡀⠀⢇⠀⠀⠘⡄⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⢳⠀⠀⠞⠀⡀⠀⠀ ⠀⠀⠂⠀⠀⢻⡜⣷⣫⣛⢿⣳⢟⡜⣮⣗⡷⣞⡷⡷⢿⡇⣠⣧⣀⣬⡀⠀⠀⠹⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣠⠔⠶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠊⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠈⡆⠀⢀⠀⠄⠀⠀ ⠀⠀⠀⠠⠀⠀⠹⣟⣷⣝⢮⡳⣏⢟⡱⢮⡝⣮⢳⡝⣿⣿⠛⠹⡉⠉⠁⠀⠀⠀⠡⡀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠁⠀⠀⠀⠀⠁⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⡕⣲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠱⡀⢄⠀⠂⠉⠐⠀⣀⠀⠀⠀⠀⠀⠀⡜⠀⡇⠀⡘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣜⢟⣷⡹⣎⢷⡹⢧⡻⣜⢧⡻⣜⣞⣥⣟⣿⠿⠿⠊⠀⠀⠀⠑⡄⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣞⠰⠀⠀⠀⢠⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡚⠜⢻⠿⠿⡟⢻⠉⣆⢣⡌⠋⠀⠀⠀⠀⠀⠀⠀⡘⠀⢀⠃⠀⠱⡀⠓⡀⠀⠀⠀⠂⠑⠀⡀⠀⠀⢀⠇⣞⠀⠀⡇⢀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠀⠈⢿⣯⣞⡿⣯⡞⣜⢣⡟⣌⢣⡟⣌⢿⣿⡁⠄⣆⢀⣎⣧⠀⠀⠀⠀⠂⠀⢠⠝⠻⣿⣿⣿⣿⣿⣿⠿⢣⣄⡟⠀⠀⠀⠀⣞⣄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡌⠥⢊⠱⡈⣅⣺⡎⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⢠⠋⠀⠀⠀⠘⢢⡀⠑⢄⡀⠀⠀⠀⠈⠄⢀⠎⢠⠃⠀⡞⠀⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣟⣜⣳⢿⣳⣏⣟⡱⣏⢟⡱⣏⠿⣷⡂⢞⣿⠋⠀⠣⠀⠀⠀⠀⠐⠣⣀⣀⡀⡝⠭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠝⠓⠚⠓⠓⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⠏⠀⠀⠀⠀⠀⠀⠈⠢⠄⠈⠒⠀⠀⠀⠠⣀⠎⠃⠀⢠⠃⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⣭⣟⣳⣯⣟⡷⣜⣎⠷⣭⣛⢶⡻⡔⡏⣆⠀⠀⠑⠄⠀⠀⠀⢀⣬⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⡰⠃⡰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣧⠀⠙⠟⣻⡟⣭⢟⣷⣻⣟⡷⣯⢟⣱⠿⡄⠘⢆⠀⠀⠈⠢⢀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⣠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⡎⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢷⣀⡀⠈⠛⢜⣟⡶⣧⢯⣝⡻⢯⠿⣿⣻⣆⠌⢣⡀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠚⣂⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠄⠊⣠⣟⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡿⣜⣟⣷⣀⣀⡈⠛⠯⣷⡟⣝⡯⣝⢶⡹⣞⢧⡠⠘⢊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⡖⡋⠒⠒⠒⠒⠚⠒⠒⠒⢳⠀⢀⣀⣠⣀⣶⢿⣻⡿⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣠⠊⠉⠒⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⢁⠔⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣮⣝⡻⣜⣿⣻⢷⣟⡿⢯⣟⡿⣟⣵⢫⡞⣜⢊⡀⠜⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠱⡀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣻⡜⣯⢷⡯⣟⣷⠃⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⡰⠁⠀⠉⠒⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠚⠁⠀⢞⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡜⣮⣗⡳⢮⡝⣯⢻⣝⡻⣞⡜⢳⣎⢷⡹⣎⢷⣛⣊⠑⡈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣙⢄⠀⠀⠀⠀⠀⠀⢞⢷⣫⣜⣳⢯⡿⣜⠃⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⡇⠀⠀⠀⢰⠀⠰⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣜⣳⣏⡷⣹⢎⡷⣎⢷⡹⢞⡳⣎⢷⡹⣎⠷⣭⣿⡇⠠⡕⢀⡘⠒⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠭⣒⠀⢀⣀⠀⢞⣯⠷⣉⠧⣋⡜⠃⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⡠⠂⠀⠀⢞⠁⠀⠀⠀⠈⡆⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣻⢿⣵⣫⢞⡝⣮⡝⣯⢳⡝⣮⢳⣭⣛⣟⢷⣻⡀⠌⡀⠉⠒⠥⣂⢉⠒⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠒⠛⢻⠲⠵⠌⠚⢉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠉⠀⢀⠃⢀⠇⠀⠀⠀⠀⠀⠞⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣟⡜⣟⣜⣲⣝⢮⡳⣝⢮⣳⣮⢿⡜⣯⠋⠱⡄⠳⡀⠀⠀⠀⠉⠓⠢⠎⣈⣉⠒⠒⠀⠀⢄⣀⣀⣀⡀⠀⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠊⠁⠀⠀⠀⢀⠎⢀⡞⠀⠀⠀⠀⠀⠀⠀⢣⠀⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠛⢷⣯⣷⢯⡿⣝⣯⡟⣷⣯⠿⠋⠁⠀⠀⠳⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠢⠀⠀⢀⣀⣌⣁⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠘⡄⠢⢌⠋⡝⠛⡿⢉⣱⠀⠀⠀⠀⠀⠀⠀⠱⡅⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠡⠌⡑⣈⠒⠬⢱⠇⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⠄⠓⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠐⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠣⡐⠀⢉⠬⣜⠈⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡌⢰⠳⢄⡈⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠑⡠⢃⠌⡐⡏⠐⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⡆⠀⠉⠲⢀⣈⠉⡒⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⢀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⢀⠎⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠙⢀⡀⠀⠀⠀⠀⠀⠀⠀⠞⡐⡐⢚⠐⡡⡇⠡⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⢀⢳⠀⠀⠀⠀⠈⠉⠒⠢⠎⣄⣐⣀⣂⡐⡠⠌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⡀⠀⠀⠀⠀⠀⡠⡳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣀⠀⠂⠀⠀⠙⢊⡀⠀⠀⠀⠀⠀⠀⢳⠈⡄⢊⡐⡇⡁⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⢞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⡜⠀⠀⠀⠀⢀⢊⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠑⢆⠀⠀⠀⠀⠀⠘⣇⠄⢃⡐⡇⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⢲⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⠜⠀⠀⠀⠀⣠⠵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⢀⠀⠀⠑⢄⠀⠀⠀⠀⠘⣆⠢⠐⣇⠠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⠈⡆⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢁⠔⠁⠀⠀⠀⡠⡪⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⡀⠈⠳⡀⠀⠀⠀⠘⡆⢁⢻⠠⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⡇⢱⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⡀⠚⠁⠀⠀⠀⢀⡮⠊⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠙⢄⠀⠀⠀⠘⣆⠘⣇⠂⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⠀⠀⡇⠈⡆⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠊⣠⠔⠉⠀⠀⠀⠀⢀⢔⠝⠀⠀⠀⠀⠀⠀⡀⠐⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠂⠀⠈⢣⡀⠀⠀⠈⢣⡘⢧⢀⠑⣄⡀⠀⠀⠀⠀⠀⠀⣀⠀⠚⠠⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⡇⠀⢱⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢁⡠⠊⠀⠀⠀⠀⠀⠀⣠⡳⠁⠀⠀⠀⠀⠀⡀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⡀⠀⠳⡀⠀⠀⠀⠑⣎⠓⢊⣀⠌⠙⠒⡐⠂⠌⡑⣀⣢⢜⡆⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⠀⠀⠀⠀⠞⡄⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⢀⡰⠊⠀⠀⠀⠀⠀⠀⢀⣜⠎⠀⠀⠀⠀⠀⡀⡪⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠱⡄⠀⠀⠀⠈⠳⣄⠉⢛⠓⡚⢒⠛⡚⢛⠩⠔⡊⣷⠈⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠄⠀⠀⢇⠀⠞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⡰⠊⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣟⡜⣷⢯⡿⣯⢿⣳⣯⢿⣶⣀⠀⠃⢄⡀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠐⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣟⣻⡜⣿⣜⣻⢿⣜⢟⣻⡜⣿⣷⣀⣀⠈⠐⠀⢀⠀⠡⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡠⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡎⠟⠯⠥⢄⣀⠀⠈⠳⡉⠙⠓⠊⣄⡀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠞⠁⢀⣀⣀⡀⠀⠈⠳⣄⠀⠹⡄⠀⠀⠀⢹⠃⠈⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⠁⢀⡔⠋⠀⠀⠙⠲⡀⠀⠈⢊⣠⠟⠋⠉⠉⢹⠀⠀⢻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⠃⢀⡞⠀⠀⣀⠀⢶⠖⠮⣊⣠⠞⠁⠀⠀⠀⠀⠈⠀⠀⢞⢚⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡌⠀⢞⠀⢠⠞⠁⢠⢏⡀⠀⠈⠉⠀⠀⣰⠿⣷⣊⡀⠀⠀⠀⣞⠋⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⣮⢠⠏⠀⢀⡟⣟⣹⣊⠀⠀⠀⢀⡟⣰⣿⠉⠻⣆⣀⠠⠟⡇⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢿⡟⠀⠀⢞⣿⣿⡁⠈⡆⠀⠀⢞⡷⣿⣿⣀⣀⣿⣷⣶⣶⢷⠀⠞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠀⢞⡇⠀⢰⣜⣿⢿⣿⢶⣷⠀⠀⠈⣇⢻⣿⣩⣿⣿⣧⠀⠀⣟⠀⢠⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⡄⠈⣿⠀⠈⠉⢻⣿⣿⣿⢿⠀⠀⠄⠘⢊⡙⠛⣻⡜⡗⠀⢠⡇⠀⡌⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⡀⠹⣇⠀⠀⠞⣿⣷⠅⠈⠠⠀⠀⠀⡄⠈⠉⠁⢀⠀⢀⡟⠀⣰⢳⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠳⡄⠹⣧⠀⠀⠈⠙⢲⣀⣀⡀⠀⠟⠁⢀⣀⠎⠋⠀⣌⠁⣰⢃⡏⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣆⠈⢷⡄⠀⠀⠀⡇⡏⠉⠙⠓⣻⠋⠁⠀⢀⡌⢁⡎⠁⡌⠀⣌⣎⣶⣶⣶⡊⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠙⣆⠀⠀⠹⡌⡄⠀⢠⠇⠀⠀⢠⡞⣡⠞⠀⡌⠁⢠⣿⣯⠖⠋⣡⠔⢻⡏⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠟⣇⠀⠀⠹⣝⣆⣟⠀⠀⣰⠏⡎⠃⠀⡌⠁⠀⣟⠀⠉⠙⡏⣀⣎⣿⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣟⠃⠀⡿⠀⢀⣠⠬⠿⣿⠀⣰⢋⠞⠀⠀⡌⠁⠀⣞⠃⠀⠀⢞⡟⣱⠟⠈⠀⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⠹⠊⠟⣡⠟⠋⠀⠀⣀⣌⣶⢿⡏⠀⠀⡌⠁⠀⣞⢧⣀⣀⣎⠿⠋⠁⠀⠀⠀⢀⣌⣀⣠⣀⣀⠀⠀⠀⠖⠒⠚⠛⠛⠛⠛⠛⢷⣒⠶⠀⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⠲⣟⠁⠀⣠⡎⠛⠉⢀⡿⡞⠀⠀⣞⠁⠀⠀⡇⠀⢙⣊⡀⠀⠀⠀⠀⢀⣎⠟⣄⠈⠉⠉⠉⠁⠀⠒⠒⠒⠒⠒⠒⠊⢀⣀⠀⠈⠳⡀⠀⠈⠙⢷⢊⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣀⡏⠀⠀⠀⢞⣷⠃⠀⢀⡇⠀⠀⠈⡷⠚⠉⠀⠉⠓⠀⠀⠀⠉⠉⣷⠈⠙⠲⠶⠶⠶⠶⠶⠊⠀⢀⣀⡀⠀⠀⠈⠳⡄⠀⢳⠀⠀⠀⠈⣇⠙⢊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣀⣀⡀⠈⣷⣧⠀⠀⣇⠀⠀⠀⠙⠲⠀⣄⣀⣀⣀⠎⠖⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡇⠀⠀⠀⢞⠀⡌⠀⠀⠀⢀⡏⠀⠘⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢿⣷⣀⡈⠳⣀⣀⣀⣀⣠⣀⣌⠉⠓⢊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⢟⣳⢀⣄⣀⡌⠛⠁⢀⣠⡎⠋⠀⠀⢠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⣯⣭⣭⣥⡀⢀⠟⠃⣀⣌⣃⡀⠎⠶⢲⣿⣋⠉⠉⠉⠉⠉⠉⠛⠊⢀⣀⠈⠓⠊⢀⣉⡉⠉⠉⠀⠀⠀⢀⣰⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠓⠛⠛⠉⠉⢡⡟⠁⢠⡞⠋⠉⢉⣭⠉⠛⠲⢊⣄⣀⠀⠀⠀⠈⠉⠓⠢⢀⣀⡈⠉⠉⣉⣹⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⡈⠙⣓⣫⠜⠋⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠒⠒⠒⠒⠒⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠠⠀⠀⠄⠉⠉⠉⠉⠁⠀⠐⠀⠆⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠂⠛⡂⠋⠀⠀⠀⢞⠀⠌⠀⠀⢀⠠⠄⠀⠈⠀⠀⠙⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠄⠀⠀⠈⠳⡠⠄⠠⠎⢌⣀⠀⠊⡁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀ ⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣥⠀⢀⡠⡆⠉⠓⠢⠆⠀⠀⠀⠓⠀ ⠀⠀⠀⢀⡟⠰⠄⠐⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠘⠳⠓⣁⡎⠀⠀⠀⠀⠉⡄⠀⢞⡇ ⣀⠀⠀⢠⡇⠀⠑⡀⠀⠀⠀⠀⢀⡔⡩⡐⡒⢷⠀⠀⠀⣧⣺⢊⡄⡀⠀⠀⢳⠀⠞⠇ ⠀⠈⠢⢈⠇⠀⠀⠏⠀⠠⣈⣩⠋⠐⡂⠀⣌⣞⠀⠀⠘⣧⣿⡀⠁⠂⠀⠀⡆⠀⠶⠀ ⣄⠀⠀⠞⠶⡀⠀⢞⡀⠁⠈⢁⣄⠇⢿⣿⣿⡟⠀⠀⠀⠹⡏⡀⠀⠀⠀⠆⢁⡌⠁⠀ ⠈⠅⢀⡀⠖⡡⡀⠀⠻⣆⠀⠀⠉⠏⠚⠛⠋⠁⠀⠀⠀⠀⢀⡣⠀⢀⡖⣠⠜⠀⠀⠀ ⠀⠚⡁⠁⠞⡵⠁⡀⠀⠘⢶⡄⠠⠀⣀⡀⠀⠀⠀⠀⠚⠖⠃⣀⡔⢙⡀⠊⠀⠀⠀⠀ ⠀⠀⠡⡄⡀⢹⡀⠀⢄⠀⠀⠛⣊⠀⠀⠐⠖⠀⠀⠀⢀⣠⠖⡡⡀⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢔⢧⠀⠀⠡⡀⠀⠈⢗⡄⠀⠟⠀⠠⡎⠓⢡⠞⠁⢠⠐⠂⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡄⠠⠀⠈⠀⠀⠀⠱⡀⣀⢠⠂⠀⢀⢚⠀⠂⠀⠈⡇⠀⠁⠀⠀⠀ ⠀⠈⠂⠀⠀⠀⠀⢐⠀⢡⠀⠀⢂⠀⠀⢳⠹⡏⠀⠀⢞⠀⠓⠶⠶⠚⠁⠎⠃⠀⠀⠀ ⠀⢠⡀⠀⠀⠀⠀⠀⢧⠀⠆⠀⠀⠆⠀⢞⡇⠀⠑⠠⠘⣀⣀⠀⠠⠄⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠡⠂⡄⢀⠠⢰⠀⠞⠀⠀⢞⠀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜🟚🟚🟚🟚🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟚🟚🏻🏻🏻🏻🏻🟚⬜🟫🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟚🟚🏻🏻🏻🏻🏻🏻🏻🏻🟚🟫🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟚🟚🏻🏻🏻🏻🏻🏻🏻🟫🟧🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟚🏻🏻🏻🏻🏻🏻🏻🏻🏻🟫🟧🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟚🏻🏻🏻🏻🏻🏻🏻🏻🟚🟚🟧🟫🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟚🏻🏻🏻🏻🏻🟚🏻🏻🟧🟧🟧🟫🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟚🏻🏻🏻🏻🏻🟚🏻🏻🟚🟧🟧🟧🟫🟧🟫⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟚🏻🏻🏻🏻🏻🟚🟧🟚🟚🟧🟧🟧🟧🟧🟫🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟚🟚🟚🟚🟚🟧🟧🟧🟧🟧🟧🟧🟧🟧🟫🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟫🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟫🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟫🟧🟧🟧🟧🟧⬛⬛⬛⬛🟧⬛🟧🟚🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟫🟫🟧🟧⬛⬛⬜⬜🟩⬛🟧🟧🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟫🟧🟧⬛⬛⬜⬜🟩⬛⬛🟧🟚⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟫🟫🟧🟧⬛⬛⬛⬛🟩⬛🟧🟧🟚⬜⬜⬜⬜⬜⬜⬜🟚🟚🟚🟚🟚🟚⬜⬜⬜ ⬜⬜⬜🟫🟧🟧🟧🟧⬛⬜🟩🟩🟧⬜🟚🏻🟚⬜⬜⬜⬜⬜🟚🏻🏻🏻🏻🏻🏻🟚⬜⬜ ⬜⬜⬜🟫🟧🟧🟫🟧🟩🟩🟩🟧⬜🟧🟚🏻🟚⬜⬜⬜⬜🟚🏻🏻🏻🏻🏻🏻🏻🏻🟚⬜ ⬜⬜⬜⬜🟫🟫🟫🟧🟧🟧🟧🟧🟧🟚🏻🏻🟚⬜⬜⬜🟚🏻🏻🏻🏻🏻🏻🏻🏻🏻🟚⬜ ⬜⬜⬜⬜⬜⬜🟫🟫🟫🟫🟧🟧🟚🏻🏻🏻🟚⬜⬜⬜🟚🏻🏻🏻🏻🏻🏻🏻🏻🏻🟚⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟧🟚🏻🏻🟚⬜🟫🟫🟫🟚🏻🟚🟚🟚🏻🏻🏻🏻🏻🟚⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟚🟚🟫🟚🏻🏻🟚🟫🟧🟧🟧🟫🟚⬜⬜⬜🟚🏻🏻🏻🏻🏻🟚 ⬜⬜⬜⬜⬜⬜⬜⬜🟚🏻🏻🏻🟫🟚🟚🟧🟧🟧🟧🟧🟧🟫⬜⬜⬜⬜🏻🏻🏻🏻🏻🟚 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟚🟚🏻🟚🟧🟧🟧🟧🟧🟧🟧🟧🟫⬜⬜⬜⬜🟚🏻🏻🏻🏻🟚 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟚🟧🟚🟚🟧🟧🟧🟧🟧🟧🟧🟧🟫⬜⬜⬜⬜🟚🏻🏻🏻🏻🟚 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟫🟧🟧🟫🟧🟧🟫🟧🟧🟧🟫⬜⬜⬜⬜⬜🟚🏻🏻🏻🏻🟚 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟫🟧🟫🟫🟫🟫🟧🟧🟧🟫⬜⬜⬜⬜🟚🏻🏻🏻🏻🏻🟚 ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟫🟧🟧🟫🟫🟧🟫🟧🟧🟫🟫⬜⬜⬜🟚🏻🏻🏻🏻🟚⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟫🟧🟧🟫⬜🟫🟧🟫🟧🟧🟫⬜⬜⬜⬜🟚🏻🏻🏻⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟫🟧🟧🟧🟫⬜🟫🟧🟫🟧🟧🟧🟫⬜⬜🟚🟫🟚🟚🟚⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟫🟧🟫🟧🟧🟧🟫⬜🟫🟧🟫🟧🟧🟧🟫⬜🟚🏻🏻🟫🟫⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟫🟫🟫🟧🟧🟧🟫⬜🟫🟫🟫🟧🟧🟧🟫🟚🏻🏻🏻🏻🏻🟚⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟫🟫🟫🟫⬜⬜⬜⬜🟫🟫🟫🟫⬜🟚🟚🟚🏻🏻🏻🟚⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟚🟚🏻🟚⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟚⬜🟚🟚🟚⬜⬜
⬜🟩🟩🟩⬜⬜⬜🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟩🟩🟩🟩🟩⬜🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜ 🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜ 🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜🟩⬜⬜⬜⬜ 🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜ ⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜ ⬜⬜🟩🟩🟪🟪🟪🟪🟪🟪🟩🟩🟩🟩⬜⬜⬜ ⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟩🟩🟩⬜⬜⬜ ⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟩🟩🟩⬜⬜ ⬜🟪🟪🟪🟪⬛⬛⬛🟪🟪🟪🟪🟩🟩🟩⬜⬜ ⬜🟪🟪🟪🟊🟊⬜⬜⬛🟪🟪🟪🟪🟩⬜⬜⬜ ⬜🟪🟪🟪⬛⬜🟊⬜⬛🟪🟪🟪🟧🟚🟧⬜⬜ ⬜🟪🟪🟪⬛🟊🟊⬜🟪🟪🟪🟧🟚🟚🟧⬜⬜ 🟪🟪🟪🟪⬛🟊🟊⬜🟪🟪🟧🟚🟚🟧⬜⬜⬜ 🟪🟪🟪🟪🟪🟊⬜🟪🟪🟪🟪🟧🟧⬜⬜⬜⬜ ⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜ ⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟧🟪🟪⬜⬜⬜⬜🟪🟪🟪⬜⬜ ⬜⬜⬜🟧🟚🟚🟪🟪⬜⬜⬜🟪🟪🟪🟪🟪🟪 ⬜⬜🟧🟧🟧🟧🟪🟪🟪⬜🟪🟪🟪🟚🟧🟪🟪 ⬜⬜🟧🟚🟚🟧🟪🟪🟪🟪🟪🟪🟚🟧🟚🟧🟪 ⬜⬜🟧🟧🟧🟧🟪🟪🟪🟪🟪🟪🟧🟧⬜⬜⬜ ⬜⬜🟧🟚🟚🟪🟪🟪🟪🟪🟪🟚🟚🟧⬜⬜⬜ ⬜⬜⬜🟧🟧🟧🟪🟪🟪🟪🟧🟚🟧⬜⬜⬜⬜ ⬜⬜⬜⬜🟧🟚🟧🟪🟪🟪🟪🟧⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟧🟧🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜
⠀⠀⢠⣌⢙⡖⠲⣲⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡎⡋⠀⡺⠀⠜⣟⣯⠞⢳⡄⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡌⠁⠀⣌⠁⢀⣎⣟⠙⡀⠚⡷⢜⡎⢞⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⠀⠆⡌⠀⠁⠪⡿⡎⠀⠀⣷⢿⢥⡜⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⠀⠙⠊⠶⣶⠀⢻⡀⢠⡿⢢⢟⣎⣏⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢣⠀⠀⠄⡇⣟⠞⠟⠛⠚⠛⣯⣟⢣⡀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣇⠀⠀⣧⠀⠀⠀⠀⠀⠀⡀⠀⠀⡏⢳⠀⠀⢞⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⣠⠞⠈⡧⣆⠀⢠⣀⣀⡹⣄⠀⠓⢎⠀⠀⡘⡌⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠟⠻⡃⢀⣌⢅⡌⡆⠈⡏⠙⡆⠈⢊⠀⠈⡇⠐⢞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢊⣀⠠⢿⣗⠞⠋⡧⡇⠀⢞⡀⢞⡀⠚⣇⠀⢌⣁⠞⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠹⣅⣀⠎⠳⡟⠟⠊⡷⢹⠀⠐⡯⠫⠌⡆⠈⢆⡉⠉⠉⠉⠙⠫⠑⢊ ⠀⠀⠀⠀⠀⠀⠀⠀⢞⣉⣉⣀⡌⠛⠒⠒⠧⠀⠀⠟⠒⠒⠚⠓⢫⣜⡧⠀⠥⠊
⠀⠀⠀⣀⣀⣀⣀⣀⢀⠒⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣹⣍⠛⠟⠀⣟⣿⡟⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⡿⠠⠄⢿⣟⣻⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢞⠟⠉⣷⣄⠀⡜⢿⡿⠁⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠿⠀⠀⠀⣎⣟⣿⡀⠀⠀⠀⠔⢉⣠⣀⣀⣀⠈⠢⡀⠀ ⠀⠀⠀⠀⠉⠐⢂⠎⢛⣿⡟⢊⠄⠂⢬⠿⠿⠿⣿⣿⣿⣧⠀⢱⡀ ⠀⠀⠀⠀⠀⠀⡘⠀⢻⠋⢀⣿⣠⣶⡅⡇⠀⠀⠈⢻⣿⣿⠀⢞⣧ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⠑⠟⠁⠀⠉⠙⠇⠀⠀⠀⠈⣿⣿⠀⢞⣿ ⠀⠀⠀⠀⠀⠀⠀⢣⠇⠀⡒⠒⠓⢀⠘⠢⡀⠀⠀⠀⣿⣿⠀⣌⡿ ⠀⠀⠀⠀⠀⠀⠀⠌⠀⢞⠠⠀⠀⠂⢡⠀⠘⡄⠀⠀⣿⡇⡠⠋⠀ ⠀⠀⠀⠀⠀⠀⠌⠀⠀⡈⠀⠂⠀⢞⠈⠀⠀⠞⡀⢠⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⢎⣀⣀⠰⠥⠀⠀⠀⠐⢰⣀⣀⡀⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⢠⠎⠖⠉⠉⠉⠢⡀⢢⠉⠃⠶⣀⣀⢀⣄⣠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠋⠒⠒⠀⠀⣀⠀⠀⠱⡈⡄⠀⠀⢠⡟⠁⠘⣊⠀⢰⢠⢊⠕⣵⠀⢀⡠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡌⠇⠀⠀⠀⠐⠂⠠⠄⡈⠂⣄⡥⠓⠀⠀⠜⠀⠀⠁⠞⡄⢞⢁⠆⠀⠀⢠⠟⠁⢞⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠁⠀⡠⠄⠲⠀⣄⡀⠀⣚⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⢀⡟⣎⠘⠀⠀⠠⡏⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⢞⠁⠀⠀⠀⣟⣭⠲⠃⠀⣎⠶⢊⡀⠀⠀⠀⠀⠁⣞⠁⢞⡆⠀⠀⠘⠀⠀⣞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⢞⠀⠀⠀⢀⡟⣌⠀⠀⢞⣓⡰⢊⡙⢊⠀⠀⠀⠐⡇⠀⢀⡃⠀⠀⠀⠀⠰⡿⠔⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡄⠈⣆⠀⠚⠋⣷⣞⠀⠀⢞⣿⣇⠀⣷⢈⠛⠯⠔⢰⠃⠀⢞⡿⠙⡆⠀⢀⠏⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⢄⠈⢆⠀⠀⣹⠟⠀⠀⠀⠻⣿⣿⣌⢺⡒⠀⢀⡞⠀⢀⢧⡁⠀⠇⣠⢀⡀⢀⣌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢊⡀⠑⣌⢧⡐⣠⠀⠀⠀⠀⠁⠀⢁⠀⣠⠎⠀⢀⠎⢎⡏⠀⡶⠁⢀⣧⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢊⡈⠳⣍⠓⠒⠀⠠⣊⢎⡏⢁⡎⠃⠀⢀⠎⡜⢞⠁⠀⠁⢀⡟⠋⠂⠀⣀⡀⠠⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣄⠈⢢⡀⠀⠀⢹⢞⣧⠏⠀⠀⡰⠃⡜⠀⣏⠇⠀⠎⢫⣀⣎⡿⠛⠉⠀⠀⠀⠈⠉⠋⢊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡀⠄⣀⠀⠱⣣⠀⠱⡀⠀⣟⢞⡏⠀⢀⠞⠀⡜⠀⣞⠁⠀⠀⡠⠜⠛⠻⣄⠒⠒⠒⠢⢄⡀⠀⠀⠀⠫⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⢡⡶⠒⠵⢀⠿⡆⠀⢣⢠⡿⢌⠀⠀⡎⠀⡞⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⡎⠿⠳⣊⡀⠀⠈⠢⡀⠀⠀⢩⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⡈⠳⠆⠀⠞⠁⡇⠀⢞⡞⠀⢞⡀⢞⠀⢠⠃⢀⡏⡀⠀⠀⠀⠀⠀⠀⡄⠹⣌⠆⠈⢓⡄⠀⠀⠐⡄⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠶⣀⡄⠀⢀⣧⠶⡏⠀⠀⢰⣧⢞⠀⢞⠀⢞⠁⡇⠀⠀⠀⣠⠀⠀⠀⠘⣶⢀⡀⠈⣶⠀⠀⠀⢱⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢻⣟⡀⢞⠀⠞⣌⣝⣞⡆⠁⠘⠄⠀⠀⠘⠁⠀⣿⠀⠙⠀⠀⠀⢞⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⢠⠋⠳⣄⣣⠀⠙⠺⢣⡯⠀⠀⠈⠒⡄⠀⠀⠀⡟⠀⣿⠀⠀⠀⡘⠀⢠⠃⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡧⡀⢠⡇⠀⠀⠀⠙⢃⡆⠎⡏⠁⠀⠀⠀⢰⠀⠀⠀⠀⣧⡰⠆⠀⠀⡰⠁⡠⠃⢰⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⢰⡆⠀⠀⠀⢈⡇⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠀⠀⡰⢁⠔⠁⠀⣌⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢖⡀⠀⠀⣜⠃⠘⣃⡀⠀⠀⣄⣵⠀⠀⠀⠀⣞⠀⢀⠜⡰⠁⠀⢀⡌⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠶⠞⠃⠀⠀⠈⠁⠀⠉⠀⠐⢊⣀⢰⠞⠁⠀⠎⡌⢀⣎⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡇⠀⢞⢞⠀⠻⣥⣀⣀⣀⢀⡀⠀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣢⣞⡈⢄⠀⠀⠉⠀⢀⡀⠀⡀⠈⣉⠓⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠘⠋⠁⠀⠀⠛⠈⠁⠀⠀⠀⠉⠫⡎⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣊⣀⣇⣰
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⬜⬜⬜⬜⬜🟊🟊🟊🟊🟊⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟊⬜⬜⬜⬜🟊🟊🟊🟊⬜⬜ ⬜⬜⬜⬜🟊⬜⬜⬜⬜⬜🟊⬜⬜🟊⬜ ⬜⬜⬜⬜🟊⬜⬜⬜🟊🟊🟊⬜⬜⬜🟊 ⬜⬜🟊🟊🟊⬜⬜⬜🟊⬜⬜⬜⬜⬜🟊 ⬜🟊🟊⬜⬜⬜🟊⬜🟊⬜⬜⬜⬜⬜🟊 ⬜🟊⬜⬜⬜🟊⬜⬜🟊⬜⬜⬜⬜🟊⬜ 🟊⬜⬜⬜⬜🟊🟊🟊⬜⬜🟊🟊🟊🟥⬜ 🟊⬜⬜⬜⬜⬜⬜⬜⬜⬜🟊🟚🟥🟥⬜ 🟊⬜⬜⬜⬜⬜⬜🟊⬜⬜🟊🟚🟥🟥⬜ ⬜🟊⬜⬜⬜⬜🟊🟊⬜⬜🟊🟚🟥🟥⬜ ⬜🟊🟊⬜⬜🟊⬜🟊🟊🟊🟚🟚🟥🟥⬜ ⬜⬜⬜🟊🟊⬜⬜🟊🟊🟚🟚🟚🟥🟥⬜ ⬜⬜⬜⬜⬜⬜🟊🟊🟊🟚🟚🟚🟥🟥⬜ ⬜⬜⬜⬜⬜⬜🟊🟊🟊🟚🟚🟥🟥⬜⬜ ⬜⬜⬜⬜⬜⬜🟊🟊🟊🟚🟚🟥🟥⬜⬜ ⬜⬜⬜⬜⬜⬜🟊🟚🟊🟚🟚🟥🟥⬜⬜ ⬜⬜⬜⬜⬜🟊🟊🟚🟚🟚🟚🟥🟥⬜⬜ ⬜⬜⬜⬜⬜🟊🟚🟚🟥🟚🟚🟥🟥⬜⬜ ⬜⬜⬜⬜⬜🟊🟚🟥🟥🟚🟥🟥⬜⬜⬜ ⬜⬜⬜⬜⬜🟊🟚🟥🟥🟥🟥🟥⬜⬜⬜ ⬜⬜⬜⬜🟊🟚🟥⬜⬜🟥🟥⬜⬜⬜⬜ ⬜⬜⬜⬜🟊🟚🟥⬜⬜⬜🟥⬜⬜⬜⬜ ⬜⬜⬜🟊🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟊🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟊🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟊🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟊🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟊🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟚🟥⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠖⠛⠫⡀⠀⠀⠀⠀⡇⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠖⠋⠁⠀⠀⠀⠀⢹⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠀⠶⠖⠺⠿⠯⣀⡀⠀⠀⠀⠀⠀⠀⠀⢞⠀⢀⣎⣥⠀⠀⠎⠶⠶⠀⠀⠀⢿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⣠⣟⣚⣉⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠞⢁⡀⠔⠒⠂⠀⠒⠒⠢⠀⢀⡀⠀⠀⠀⣉⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀ ⠀⣰⣧⠞⠁⠀⠀⣀⡀⠎⠒⢲⡶⠀⣀⠉⠑⣊⢟⠛⢄⣀⠀⠀⠀⠀⠀⠀⣀⠀⣄⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀ ⢠⡟⠁⠀⠀⣠⠚⠉⡇⠀⠀⣞⠀⠀⠀⠙⠚⠁⠈⢧⡀⠈⠉⠉⠉⠉⠉⠉⠹⡀⠈⠑⠲⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡄⠀⠀⠀⠀ ⡟⠀⠀⢀⡟⡇⠀⢠⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠊⠀⠀⣀⣀⣀⣀⠏⠀⠀⠀⠞⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀ ⡇⠀⠀⢞⠀⡇⠀⠀⣧⠀⠀⡇⠠⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠁⠀⡏⠀⢀⣀⠀⠀⢘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⠀⠀⠀⠀ ⡇⠀⠀⢞⠀⣇⠀⠀⠘⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠉⠉⣯⠑⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⢹⠀⠀⠀⠘⣊⣇⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣎⣶⠖⠲⢀⣄⣀⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀ ⢧⠀⠀⠀⠀⠈⡆⠀⠀⠀⠺⣿⠁⢹⣿⣿⢿⡆⠀⠀⠀⠏⠁⣿⣿⣿⣆⣀⣌⡈⠛⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡇⠀⠀⠀⠀ ⠘⣆⠀⠀⠀⠀⢱⡀⠀⠀⠀⠞⡧⠘⢿⣿⣟⡇⠀⠀⠀⠄⠀⠙⢿⣿⣶⣿⠿⠁⠀⠀⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀ ⠀⠈⠳⣄⠀⠀⠀⢳⡀⠀⠀⠀⡇⠀⠀⠈⢉⠇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⢊⡀⠀⠱⣄⠀⠀⡇⠀⠀⠀⠛⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⣌⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠊⣀⠈⠢⡀⠻⣄⠀⠀⠀⠐⠲⠒⠊⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⡟⠀⠀⠀⠀⠀⠀⠀⠀⡎⠋⣰⣻⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠲⢄⠙⠊⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⡎⠊⠉⢣⣰⠃⠀⠀⠀⠀⠀⠀⢠⠎⠀⡰⠁⡏⠈⢊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣄⠀⠑⣄⠈⠙⠢⠀⠀⠀⠀⠖⠛⣧⡀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⡎⠁⢀⡜⠁⣞⠳⡄⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠈⢧⠀⠀⠀⠀⠀⠀⣌⠋⡏⢳⡀⠀⢰⠇⠀⠀⠀⠀⢠⠞⠀⢀⠎⠀⢀⣏⠀⠘⡄⠈⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣄⡀⠀⠀⠹⡄⠈⣇⠀⠀⠀⢀⠞⠈⡇⠞⡄⠉⠀⣞⠀⠀⠀⠀⢠⠃⠀⢀⡎⠀⠀⣞⠉⢢⠀⠞⡄⠈⢇⠀ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⣀⣀⣬⣷⠀⠀⣳⠀⢞⠀⠀⢀⠏⠀⠀⡇⠀⠙⠲⠚⡟⠀⠀⠀⢠⠃⠀⠀⡞⠀⠀⢠⡇⠀⠀⢣⠀⢱⠀⠘⣆ ⠀⠀⠀⠀⠀⠀⢞⠀⠞⡁⠀⠀⠀⠀⢠⠏⠀⣌⠀⢀⡞⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⢀⡇⠀⠀⢀⡇⠀⠀⣌⠁⠀⠀⠘⡄⠈⡆⠀⢞ ⠀⠀⠀⠀⠀⠀⠞⡆⠀⠙⢀⣀⣀⠔⠋⣀⣌⡏⠀⡌⠀⠀⠀⡌⢻⡀⠀⠀⠀⡇⠀⠀⢞⠀⠀⠀⢞⠀⠀⠀⡿⣆⠀⠀⣀⡇⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢊⡀⠀⠉⠙⠚⢉⣎⠟⠀⣞⠁⠀⠀⣰⠃⠀⠙⠊⣄⡀⢹⠀⠀⢞⠀⠀⠀⠞⡀⠀⠞⡇⠘⣆⣿⣉⡻⣄⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠀⢀⣎⠟⠁⠀⢠⠇⠀⠀⣰⠃⠀⠀⠀⠀⠀⢳⠘⣇⠀⠈⡆⠀⠀⠀⢇⠀⠀⠻⡄⠘⣿⢁⡗⠞⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢀⡏⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⢞⣄⣹⣄⠀⠹⡄⠀⠀⠘⣆⠀⠀⠉⠓⠛⠋⠀⢠⠇⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢊⠀⡌⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⢀⣏⡀⠀⠈⠣⣄⠹⡄⠀⠀⠈⠢⡀⠀⠀⠀⢀⡰⠋⠀⣠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡀⠬⠷⠧⠀⠶⠟⠶⠶⠶⠊⠀⠀⠟⠿⣯⣍⣛⠛⠳⢮⣜⣛⠊⠀⣀⣀⣩⠊⣎⠚⠉⠱⡀⡰⠁⠀
⠀⠔⣲⣿⣿⣿⣷⣶⣀⣟⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢟⣿⣿⣿⣿⣿⣻⣜⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣌⣿⡿⠫⡿⠿⣿⣿⣿⣿⢧⠀⠀⢀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⠟⢫⣟⡏⣰⣟⠙⣿⣿⡿⣌⠀⢀⣟⣟⠟⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢞⣿⡇⢿⣯⣶⣿⢟⣵⣿⠀⢬⣏⣯⣟⠟⠁⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⠈⠿⣿⣿⣟⣿⣯⡥⣜⣿⣿⠀⡿⣭⢹⣥⡀⠀⣠⣶⣿⣿⣿⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢱⢟⣿⠇⣞⡟⣕⢫⣷⣀⠟⠿⣿⣿⣿⣿⣿⣿⣿⡻⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢠⢞⡏⣟⣿⣥⡷⠁⠀⢿⠀⠀⠈⢿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣞⢞⣿⣿⣿⣇⢠⣶⡟⠀⠀⠀⢞⣿⣿⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢞⣿⣿⡟⠛⠻⣿⣞⣿⣥⡀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣌⣿⣿⣧⠀⠀⢹⣿⣿⣿⣧⠀⠀⠀⢹⣿⣿⣿⡟⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⠈⣿⣿⣿⣿⡄⠀⠀⠘⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡟⠀⠀⣞⣿⣿⣿⣿⡇⠀⠀⠀⠹⠈⠿⣿⢷⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⠿⠃⠀⠀⠛⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⣶⣿⣿⣿⣿⣷⣶⣀⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡎⠿⢿⣿⣿⡿⠿⠿⠛⠛⠿⠿⢿⣿⣿⣊⣀⠞⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡶⠟⠋⠁⠀⠀⠀⠀⢀⠀⠠⠀⠀⠉⣻⠏⠀⠀⡄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣭⠆⠀⠀⠀⠀⢀⠄⠊⠀⠀⠀⠀⠀⠀⢞⠀⠀⠀⢞⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣩⡟⠁⠀⠀⠀⡠⠀⠁⠀⠀⣀⡀⠎⠒⠚⠛⠛⠀⠀⠀⡞⠀⢞⠀⠀⠀⢀⣎⡟⢷⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⡶⠛⠁⠀⠀⡀⠐⠀⣀⣀⢀⣎⠟⢛⣓⣶⣇⣠⠆⠀⠀⠀⠀⠁⠀⡞⣎⠞⢊⡟⠋⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠛⠛⠒⠚⠒⣿⠉⢠⡷⡹⢁⣎⠟⠛⢻⣿⡧⠐⠀⠀⠀⠀⠀⣞⣜⠃⠀⠞⠁⠀⠀⣞⣃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠌⠀⡇⣌⣇⣀⣎⣿⣿⡇⠀⠀⠀⠀⢀⡜⠉⡏⠀⠀⠀⠀⠀⣰⠟⠉⠀⢹⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⡅⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⡎⠋⠀⠀⡇⢀⣠⡀⠀⠔⠁⠀⠀⢀⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡏⠅⠀⠀⠀⠐⢉⠡⣿⣷⠟⣁⣠⡀⠞⠋⠀⠀⠀⣰⡗⠉⢞⡇⠀⠀⠀⠀⣠⠟⠁⣀⣀⣶⣶⣶⣶⣶⣊⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⠇⠀⠀⠀⠈⠈⠀⠀⠈⢙⣲⠖⠀⠀⣠⣟⣿⠃⠀⣜⣀⡄⠀⣠⣟⣥⣀⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠷⢊⣀⣀⣀⣀⣀⣀⣎⠏⢀⣀⣶⣿⣿⡟⡿⠀⠜⠁⢀⡟⠈⠀⠀⣌⣿⠿⠛⣉⠀⠀⠀⡈⠉⠛⠿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣞⢳⢇⣎⣿⣿⣿⡿⠋⡌⠁⠀⠀⢀⡞⠁⣀⣎⣟⣟⣥⣶⣧⣀⣄⣐⠠⢀⠈⠂⢄⠈⠻⣿⣿⣟⢿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢞⡿⢱⣿⣿⠏⠀⣌⠁⠀⠠⠶⣕⠺⣯⠁⠀⠀⠉⠻⣟⠛⠻⣿⣿⣷⡄⠑⠄⠀⠁⡀⠙⣿⣿⡄⠙⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⣿⣿⠇⠀⣌⠇⠀⠀⣀⣠⣟⡎⠏⠐⢲⢂⠀⠀⠘⣧⠀⢞⣿⣿⣿⡄⠈⡄⠀⠐⡀⢹⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠶⠖⠒⠒⠒⠿⠊⠀⠹⣿⠀⢰⣿⠀⠀⠀⠉⠉⠀⠀⠀⠌⢮⣿⡄⠀⠀⣿⠀⣌⣿⣿⣿⡇⠀⠀⠀⠀⠁⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣎⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣌⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡿⡇⠀⠀⣿⣟⣿⣿⣿⣿⠇⠀⡀⠀⠀⠘⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡎⠋⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣀⡠⠉⠛⠀⠀⠀⠀⠀⢠⠀⠀⠀⠞⢀⣎⣶⣿⣿⣿⣿⣿⣿⠏⠀⠀⠁⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣎⠏⠀⠀⠀⠀⠀⠀⢀⡎⠛⠉⣹⠏⠉⠉⠉⠉⣷⠶⠀⣀⣀⣀⣀⣀⣈⣧⡀⠀⠀⠀⠈⠉⣿⢿⣿⣿⡿⠃⠀⠀⠈⠀⠀⠀⡇⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠞⣧⣀⠀⠀⠀⠀⠀⣎⠟⠀⠀⢰⡏⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠈⣿⠉⠉⠀⠙⣶⣄⠀⠀⠀⠀⣰⣿⠟⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠓⠶⠶⠟⠃⠀⠀⠀⣿⠁⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⣿⠘⣇⠀⠀⢠⣿⠋⢀⣀⣊⠀⠀⠀⠀⠀⢰⠀⠀⢿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⣟⠁⠀⠀⠀⠀⡟⢠⡇⠀⠀⢞⢃⣎⠟⠁⣿⠀⠀⠀⠀⠀⢞⠀⠀⠞⣏⠛⠿⢷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⣞⠃⠀⠀⠀⠀⢞⡇⣟⠀⠀⠀⢞⡟⣜⠀⠀⢻⣇⠀⡀⠀⠀⠈⡄⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⢷⡀⠀⣰⠏⠀⠀⠀⠀⠀⡿⢰⠇⠀⠀⠀⠈⠁⣿⠀⠀⠀⢻⣊⣁⠀⠀⠀⠹⣊⡀⠀⠹⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⣠⡿⠁⣰⠏⠀⠀⠀⠀⠀⣞⢃⡟⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠙⠻⣊⣄⡀⠀⠈⠻⣶⣀⣈⡙⠷⣊⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢀⣠⡟⠋⢀⣎⠋⠀⠀⠀⠀⢀⣎⠏⣌⠁⠀⠀⠀⠀⠀⣞⠇⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠶⠶⠿⠿⠿⠟⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠛⠉⠀⠀⠈⠛⠛⠒⠚⠛⠛⠛⠁⠠⣯⣀⣀⣀⣀⣀⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⣉⡀⠂⠀⠌⢁⢲⢐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⢁⠂⠀⠀⠀⠔⠁⡀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢞⡌⢀⣷⠆⠀⣌⣟⢢⣀⣶⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠞⠞⡅⠺⣿⣶⠀⠉⢿⡿⡏⢱⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠂⢣⠀⠻⠁⢀⡰⠀⠀⢁⠆⢬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⡄⢠⠉⢠⡪⢂⠂⣿⡛⢳⠊⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠙⠀⠞⢆⣰⠕⢠⠂⡘⠀⣱⠞⠀⡁⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠓⢚⠀⠐⢞⡍⢀⠃⢞⡙⠏⠁⠀⢎⢍⡙⠃⠐⠒⠂⠀⠈⠢⠉⠰⡠⡀ ⠀⠀⠀⠀⠀⠑⠀⠌⣧⡘⢄⠈⠂⠀⢄⠒⠈⠀⠀⠀⠀⠀⢈⡆⠀⣠⠀⠀⠃⢡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠷⠶⠀⠄⡲⠶⡀⢉⡉⠑⠂⠅⣊⠩⠍⢀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠉⠛⠁⠀⠀⠈⠉⠁⠉⠉⠉⠀⠀⠀
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