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⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠛⠉⠛⢿⡿⠿⠶⠶⢤⣤⣠⣠⡤⠤⠶⠚⠉⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⣿⠛⢻⣍⣿⣯⡿⢿⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⢀⢀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⣿⣿⡷⠿⠛⠙⢹⣏⣉⣉⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⢿⡟⠛⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠻⣫⣾⠟⠉⠀⠀⠀⣘⣛⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⠀⠘⠀⡇⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⢀⡴⠛⣧⡾⠛⠋⠀⠀⠀⣶⣚⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣴⣧⠴⠶⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢠⣿⢻⣾⠏⠀⠀⣀⣠⣾⠿⠷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠸⡛⠓⢿⣙⡟⠁⠀⢤⣄⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡇⠀⣯⣽⣾⣿⣵⣖⡒⠚⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠈⣇⢸⡿⠋⣹⡇⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣇⠀⣸⣿⡿⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢛⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⣀⡴⠖⠛⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡟⠉⠛⠻⣷⢦⣤⣀⡀⠀⠀⠀⠀⠀⢀⣀⣠⣿⠷⠛⠁⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠐⣷⣀⠈⢧⡀⠉⠉⠓⠒⠒⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⢹⡟⠛⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⢹⡄⠀⢀⡇⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠳⣄⣼⣁⣀⣀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠉⠉⠁⠁⡝⠀⠀⢀⣠⣤⠤⠶⠒⠒⠒⠒⠶⠤⣤⣀⣀⣀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⣼⣧⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣀⣠⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⡿⢟⢿⣿⣛⣿⢿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣾⣷⣽⣿⣷⣿⣿⣿⣿⣶⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠞⠛⠛⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⢀⢤⣒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠱⡄⠀⠀⠀⠀⠀⢀⣴⢻ ⡇⡔⢢⡍⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⢀⠤⢚⠕⣡⠂ ⠱⢌⡡⠧⠒⠙⣄⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⠊⢁⠔⢁⠜⠁⠀ ⠀⠀⠀⠀⠀⠀⠘⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⣠⠋⣀⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡣⣘⡴⠁⣈⡵⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢹⠛⡓⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠈⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⣐⠤⠐⢤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠐⠂⠁⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⢀⣀⡤⠖⠚⠉⠀⠀⠀⠀⠀⣀⡤⠔⠚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⡰⡿⢏⠁⠀⠀⠀⢀⣀⠤⠐⠊⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣑⣘⣼⡠⠤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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search up "maybelucy" for more things !! (https://discord.gg/VbfhG3SKS7 ⮜ server) about mes ╭・・・・・➤ ┊➜ name 🐾 .ᐟ ┊⸝⸝ ଳ【pro-nouns】 ┊» age ⋆ hobbies ⋆ etc ⤶ ┊see ya ! >ᴗ< 🐬 ╰・・・・・➤ 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𓏲 ๋࣭  ࣪name ೀ⋆。˚ ༘⋆✿ pronouns ᰔᩚ °❀⋆ age - religion ✮ ⋆ ˚ ₊˚⊹♡ (discord server) .ೃ࿔*:・ 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 ツ🌷๋࣭ name ⭑ ₊˚⊹ pro - nouns ❀ ᯓ⊹₊⋆★ something 🩷 ˚ ༘♡ other or song ⋆。˚ 🍧 baiii ! ୨ৎ 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 🕷 ֶָ֢ ๋࣭ ⭑ name ᶻ 𝗓 𐰁 pro - nouns ✦ ⋆.˚ ✪ ␥ age/nationality .𖥔 ݁ 🪐˖ ☆⋆。 ♟️ other things 𖦹 ⋆← ╰ » bye bye now! ˎˊ˗ 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 ╭┈┈┈┈⟢ ⋮ ₊ name ⊹ 🔥⭒˚ ⋮ ♦ৎ⋆˚。⋆ pronouns 💥 ⋮ 〰 〃age - song ♯ ⋮ 💣 other things ︵ ๋࣭ ⭑ ╰┈┈┈┈⟢ 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 𔓘 next server intros ! ♡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⡾⠿⠟⠛⠉⠁⠀⠀⠀⠉⠙⠻⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⠀ ⠀⠀⠀⠀⠀⣀⣠⣤⠶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠿⢭⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡇ ⠀⢀⣤⢾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠇⡇ ⢠⡟⠁⠉⠉⠙⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⢋⡵⠃⢠⠇ ⣾⠀⢠⠞⢛⠷⣦⡀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⣀⣴⠾⠋⢁⡴⠋⠀⣠⡟⠀ ⢿⡀⠘⣖⣈⡷⢸⡧⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⣠⣴⠟⠋⠀⢀⡴⠋⠀⣠⡾⠋⠀⠀ ⠘⢷⣄⠈⠉⢀⣾⣧⣴⠶⠚⠉⢹⣦⠀⠀⣀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣵⠟⠋⠀⠀⢀⡴⠋⠀⢠⣾⠏⠀⠀⠀⠀ ⠀⠈⠉⠛⠛⠋⠉⠁⠀⠀⠀⠀⠈⢻⣯⠝⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠁⠀⠀⢀⣴⠏⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣦⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣼⡏⠀⠀⠀⣠⡟⠁⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠀⢿⡇⠀⠀⣼⠏⢀⣀⣤⣤⣴⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⢿⣇⠀⠸⡇⢀⣼⠃⠀⠀⠈⠳⣶⡴⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⣉⣓⣦⣝⣾⠃⠀⢀⣀⣤⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⠟⡋⣽⢿⡦⢭⣭⠭⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠈⢹⡟⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠤⢚⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢙⡤⠤⠈⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠋⠁⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢷⣶⠖⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠾⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣀⣠⣤⣶⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢠⣼⣿⣯⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⡟⢡⢥⡈⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⢻⣌⣠⡟⠀⣿⠂⠀⢀⣀⣤⣴⠶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢿⣦⣌⣁⣀⣼⢯⣴⠶⢛⠋⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠠⠤⠤⠄⠐⠢⢄⠀⠀⠀⠀ ⠀⠀⡠⠄⠶⡒⠒⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀ ⢀⠎⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⡇⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀ ⠇⠀⡰⣯⢽⠏⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀ ⢸⠀⢣⠈⠉⡩⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢠⠄⠒⠁⠀⠀⠀⠀ ⢸⡀⠀⠉⠚⠓⠂⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠸⣄⣀⠤⠒⠢⢄⠀ ⠀⢇⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠠⠤⠤⠄⠐⠒⠈⠁⠀⠀⠀⠀⠀⢱ ⠀⠘⡆⠀⠀⠀⢰⠁⣈⣑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞ ⠀⠀⠈⢢⡀⠀⠸⢄⣹⣃⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠔⠊⠁⠀ ⠀⠀⠀⠀⠈⠒⠠⠤⠤⠮⠤⠀⠀⠒⠒⠒⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀
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𝓶𝔂 𝓫𝓪𝒆✩♬ ₊.🎧⋆☾⋆⁺₊✧˖⁺‧₊˚ ♡ ˚₊‧⁺˖
⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⠈⢻⠉⠐⠒⠂⠉⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⣀⢴⣶⣲⡶⡄⠀⠀ ⠀⠀⠀⡇⢰⡄⢇⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⡰⣮⠟⠉⢁⣷⠖⠀⠀⠀ ⠀⠀⠀⠡⠤⠧⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⣾⠟⠁⣠⠾⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢸⣽⣮⢤⠞⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢼⢸⡿⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⠖⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠤⠀⠀⠀⠀⠀⠀⠀⠙⡀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⡰⢛⠲⡠⠄⣀⡀⠠⠼⠒⠁⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⢇⠈⡇⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈⠲⠤⢼⠀⠀⣀⣀⣀⣀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀⢠⠶⠊⠉⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡟⢩⡿⢻⣿⠿⣿⡷⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣇⡟⠀⡟⢁⡞⠁⠀⠀⠀⠉⠛⠻⠶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⣇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⠛⠻⠶⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣷⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣦⣄⠈⠉⠙⠛⠳⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⠻⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠓⠀⠀⠀⠀⠀⠉⠙⠻⠿⣶⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡀⠈⠙⣿⠷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣫⣽⠿⣧⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⢸⠇⠀⠀⠀⠉⠳⢬⣛⠻⠷⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⣼⠃⣴⠟⢁⣵⣦⠿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⢀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠉⠙⠛⠿⢶⣤⣤⣀⡀⣇⢰⡟⠀⡞⡞⠁⢠⠜⣻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⡟⠿⢾⣷⣤⣧⣇⣀⣏⣴⡟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠀⣰⡟⠀⠀⠀⣰⣷⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⡀⣿⠆⠉⠉⠉⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⣸⠟⠀⢀⣤⣾⠿⢟⠀⣤⣶⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⠇⠀⢠⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⢀⣾⠋⠀⢀⣤⣴⣿⣧⣾⡇⣨⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⣰⡟⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠋⠀⣤⠟⠁⠀⠀⣈⣿⣾⣿⣻⠋⣠⣿⣿⣿⣿⣻⣿⡿⠀⠀⠀⣰⡏⠀⢀⣜⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⡟⠁⢀⣾⠋⠀⠀⠀⣠⣿⣿⣿⣿⢃⣼⣿⣿⣭⣿⣟⠻⠿⠃⠀⢀⣼⠋⠀⣠⢿⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⠏⠀⣠⡟⠁⠀⠀⠰⣿⣿⣿⣿⠉⠀⣾⣿⣿⣟⣿⠿⣿⡇⠀⠀⣠⠟⠁⠀⢀⣵⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⠃⠀⣸⠏⠀⠀⣀⣀⣠⣼⣿⣿⣯⢰⣦⢀⣍⣛⡻⢿⣿⣦⠀⢠⡾⠋⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡏⠀⣰⠏⠀⠀⠐⢿⣿⣿⣿⣿⠹⣷⣼⣿⣿⢿⣿⣵⡿⠟⢁⣴⠏⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⢀⡟⠀⠀⠀⠀⠺⠟⠋⠹⣿⡆⠙⠛⠘⣿⣤⣿⠏⠀⣠⡟⠁⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⣰⡏⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣻⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⡿⢶⣷⠀⠀⠀⠀⠀⣄⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣧⢺⠙⠿⣦⣄⠀⠀⠈⠛⠦⣭⣓⠲⢤⠀⠀⠀⠀⣿⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣄⠀⠈⠙⠿⣶⣤⡀⠀⠀⠉⠙⠂⠀⠀⠀⠀⢿⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠿⢷⣤⣀⠤⣉⡻⢷⣦⣀⡀⠀⠀⠀⠀⠀⢸⡀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢶⣭⣓⠮⠙⠻⢷⣦⣄⡀⠀⠈⣧⠀⠀⢘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢶⣤⣀⠀⠙⠛⠿⠶⣼⣧⣄⣀⣃⣻⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣀⠀⠀⠉⠉⢉⡝⢉⡕⠋⢛⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣤⣀⢸⠁⣿⠁⣠⢯⣾⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⠿⢦⣿⡾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡤⠤⠤⠶⠖⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⡤⠤⠤⠶⠒⠒⠛⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠴⠛⠉⠙⠫⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀ ⠀⠀⣴⠃⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀ ⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⣀⣤⣤⣤⣤⣤⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀ ⢸⡇⠀⠀⣼⢻⣧⣤⣿⠄⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀ ⠀⡇⠀⢸⡇⠈⠳⠶⠿⠤⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠈⢻⣄⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡤⠤⢶⡞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠉⠓⠶⠾⠷⠶⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⢸⡇⠀⠀⠀⣀⣠⠤⣄⡀⠀⠀⠀ ⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣷⠴⠞⠋⠉⠀⠀⠀⠉⠳⣄⠀ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠠⠤⠤⠤⠖⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇ ⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⢠⠾⠛⠛⠻⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⡟⠀⢀⣤⣤⠨⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠀ ⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⢷⡀⠘⠿⡷⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠞⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠈⠛⠒⠛⠓⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠤⠶⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠦⠤⠤⠴⠾⠧⠤⠶⠶⠶⠒⠒⠒⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⠿⠿⠿⢷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡾⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀ ⠀⠀⠀⢀⣠⡤⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷ ⢀⡴⠟⣉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⠃⡿ ⡞⠁⡤⠤⣤⡉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣀⡤⠞⢋⠔⠁⣰⠃ ⢧⠀⢧⣨⠞⣷⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⣠⡴⠚⠁⢀⠔⠁⣠⡾⠁⠀ ⠈⠷⣄⣀⡴⠿⠒⠊⠉⠹⣧⣤⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣵⠟⠁⠀⢠⠞⠁⢀⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⢀⡴⠋⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠸⡇⠀⢠⡟⢁⣀⣤⣴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠻⣄⠀⢇⣠⠏⠀⠀⠉⣷⠖⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢠⣿⢿⣏⡤⠤⢒⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⢐⡟⠉⣯⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠐⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⢱⣀⠀⠐⠤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠚⠉⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢀⣀⣠⣴⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⣴⠿⠿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⣗⠋⣧⢸⡇⠀⠀⠀⢀⣠⡤⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣌⣉⣁⣼⣧⡴⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⣠⠶⣶⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣼⢡⡞⢡⠚⠉⠉⠛⠳⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣾⣇⡇⠀⠀⠀⠀⠀⠀⠀⠈⢉⡛⠲⠶⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⣀⡀⠀⠀⠀⠀⠀⠙⠳⠦⢄⠀⠉⠙⠛⠶⢦⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⣏⠙⠳⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢟⣿⣧⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡿⠀⠀⠈⠑⠯⡙⠻⠶⣤⣄⣀⠀⠀⠀⠀⡞⢠⠟⢡⣶⠽⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⢦⣤⣇⣾⣀⢿⠃⢠⢋⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢠⡟⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠉⢹⡟⠛⠓⠾⠛⠁ ⠀⠀⠀⠀⠀⠀⢀⡾⠋⢠⠟⠀⣠⣴⡿⣋⢠⣶⣶⣿⣗⡀⠀⠀⠀⢀⡟⠀⢸⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠀⣴⠋⠀⢰⣶⣿⣿⡟⣠⣿⣿⣿⣿⡏⠀⠀⢀⡾⠁⢠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠃⣠⠞⠁⠀⢀⣾⣿⣿⠇⣴⣿⣿⣿⡿⣿⠇⠀⢠⠞⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠀⣴⠋⠀⠀⢺⣿⣿⡏⠁⢾⣿⣿⣿⠿⠷⠀⢀⡴⠋⠀⢨⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠏⠀⡼⠁⠀⣤⣤⣾⣿⢿⡇⣷⣴⣬⡿⣻⣿⠆⣰⠎⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠀⣸⠁⠀⠀⢹⡿⠻⣿⡘⠿⠿⣯⣹⡿⠋⢠⠞⠁⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢰⠏⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣄⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣉⡿⣦⣀⠀⠀⠲⢔⣲⠤⣀⡀⠀⠀⢸⠃⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣄⡀⠙⠳⣦⣄⡀⠈⠙⠒⠀⠀⠀⢸⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠷⢦⣴⣭⣻⡶⣤⣀⠀⠀⠀⠈⡇⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣯⣄⠉⠛⠶⢦⣄⣹⣄⠀⠿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢦⣄⡀⠉⠉⠛⡻⢋⠟⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠦⣤⣇⣯⢠⣿⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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✏ ✒ 🖋 🖊 🖌 🖍
join my discord server: https://discord.gg/VbfhG3SKS7 --- search up "maybelucy" for more things !! ☆ . channel . ✿︵ channel ➤ #↳ channel ‼ ✺ . ⋮ channel channel ⤫ 】 〉channel . ♡ ✧ ꒰ channel ⋆.˚ ╰ channel 》 . ✯ channel 】 〉✘ channel ੭﹕ ⇢ channel . 〰 channel . ⊱ ✭ ꒷꒦ ︵ channel 〃⤷ channel . ♯ ♡ . channel . ☆ ➤ ┆channel . ♪ ♛ . ︵ channel . ⊹ ﹕⇢ channel ⟢ channel . ツ ➥ channel︰# ϟ . channel ┆✶ channel . 𖦹 ✭ ৲ channel › . channel ⋮ ✧
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join my discord server: https://discord.gg/VbfhG3SKS7 --- search up "maybelucy" for more things !! rules template: ✧˖° ⊱ ➤ 01: ✰ ⋮ 01: ✭ rule one┆ ∿ #1: ↳ rule one: ‧₊˚ ┊01: 【♬ ⭑ #1: ⇢ rule one﹕ ✯ 01: 」 ౨ৎ ┆#1: 〰 ✧˖° ꒰ 01: ❀﹕rule 1: rules ideas: rule 1: Be respectful to other members. rule 2: Don't threaten anyone about anything, even if its a joke. rule 3: No nsfw talk, or anything about it. rule 4: Trolling or harassing isn't aloud. rule 5: Don't start unnecessary drama in the server. rule 6: You are not allowed to abuse bots. rule 7: No slurs, or anything harmful to somebody. rule 8: Don't @ everyone for no reason. rule 9: No spamming is aloud. rule 10: Keep things in the right channel. rule 11: And lastly, don't ask to be moderator.
⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⢀⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣦⣄⠀⠀⢀⣴⠟⠁⠀⣠⡿⠃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣾⡛⠁⢀⣤⡾⠋⢀⣴⠟⠁⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⠁⣀⣴⠟⠁⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⣾⣿⣷⠀⠀⠀⠀⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠙⠛⠻⣦⡀⠀⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠹⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣄⣀⡀⠀⠈⠻⣦⡀⠙⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠈⠻⣦⣤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⡿⠋⣠⣾⡿⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠻⣿⣿⡿⠋⣠⣾⣿⠟⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢤⣾⡿⠛⢁⣴⡿⠋⣠⣾⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⣾⠿⠋⣠⣾⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⠁⠀⠈⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣦⣤⣄⠙⢿⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣷⣄⠙⢿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⢿⣿⣷⣄⠙⢿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣄⠙⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
👩🏻‍🎓˗ˏˋ ♡ ˎˊ˗🎓📷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢿⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⡿⣽⣻⡽⢯⡿⣽⣫⡟⣽⣫⢟⣽⢫⡟⣽⢫⡟⣭⡻⣭⢻⡭⢯⡽⣭⢯⡽⣭⠻⣜⡣⢟⣜⡣⢟⡜⣣⢛⡜⣣⢛⡜⣣⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⡱ ⣿⣷⣻⣟⣾⣳⢿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⡷⣯⣟⡷⣯⡽⣯⢷⣏⡷⣽⣣⢯⣟⢮⣯⢽⣚⡷⣹⢧⣻⡜⣧⣛⢧⡻⣜⢮⡳⣭⢻⡔⣏⡳⢎⡝⢮⠼⣱⢫⠼⣱⢫⡜⡱⢎⠶⡱⢎⠶⡱⢎⠶⡱⢎⠶⣙ ⣿⢿⣽⡾⣷⣟⣯⢿⡾⣽⣻⢾⣽⣻⢾⣽⣻⢾⣽⣻⣞⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣽⣻⢾⣽⣻⢾⣽⢾⣯⢷⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣳⢯⣟⡷⢯⣟⡷⣻⣵⡻⣾⣱⢷⣫⠷⣞⢯⡞⣧⢟⡼⣏⢷⣣⢟⡵⣫⢞⡽⣎⢷⡹⣞⢣⡞⣱⢭⡛⡼⣙⡞⣥⣋⢗⣣⠳⣜⡹⢎⡳⣙⢎⡳⣙⢎⡳⣙⢮⡹⣒ ⣿⣯⣷⢿⣳⣯⣟⣯⡿⣽⢯⣿⢾⣽⣻⢾⣽⣻⣞⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢯⣷⣟⡿⣞⡿⣞⣯⡿⣞⣷⣻⣞⣷⣻⣞⣷⣻⣾⣽⣿⣾⣿⣿⣾⣿⣷⣿⣷⣯⣟⣾⣭⢿⡹⣾⣹⢮⣏⢷⣫⢞⡵⣫⢷⡹⣎⢷⡹⣎⠷⡭⢮⡕⣏⠶⣹⢱⢣⠞⡴⣩⠞⡴⣋⠶⣙⢮⡱⣍⢮⡱⣍⢮⡱⡍⢶⣑⢣ ⣿⡾⣽⡿⣽⡾⣽⣳⡿⣯⣟⣾⣻⢾⣽⣻⣞⡷⣯⢿⡽⣯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣟⣾⣽⣻⡽⣟⣯⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣛⡾⣼⢣⡟⣮⢳⡝⣮⢳⡝⣮⠳⣭⢛⡼⢣⢞⡬⡳⣍⢎⢧⡛⡴⢣⡛⡴⣍⢞⡱⢎⡵⣊⠶⡱⢎⡖⣱⡙⢦⡍⡖ ⣿⣻⣽⣟⡷⣟⣯⡷⣟⡷⣯⢷⣻⣟⣾⣳⢯⡿⣽⢯⣟⡷⣯⢷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⣟⣯⡷⣯⣷⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣫⢞⡵⣏⢾⡱⢯⡞⡵⣛⢦⣛⡼⣍⠾⣰⠳⡜⣎⠶⡹⣜⢣⡝⡲⣍⢮⡱⢫⠴⣩⠞⣡⠳⡜⡥⣚⢥⡚⡜ ⣿⣽⣳⣯⣟⣯⡷⣟⣯⢿⡽⣯⢷⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢯⣷⣻⣞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣞⣯⢿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡽⢮⡝⣧⡛⣵⡩⢖⣣⠞⣬⠳⣥⢛⡼⣌⢳⡱⢎⢧⡚⡵⣊⠶⣉⢧⢛⡤⣛⠴⣋⠼⡱⡜⣆⢧⡙ ⣿⢾⣽⡾⣽⣳⣟⣯⣟⣯⢿⡽⣯⣟⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⡞⣷⣻⣞⣷⣻⣞⣷⣻⢾⡽⣯⢿⡽⣯⣟⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⢟⠶⣙⢦⡛⡵⢪⡝⢦⡛⡴⣋⠶⣩⢖⡹⢎⠶⡹⠴⣩⠞⡱⢎⡣⠞⡴⢋⡼⣡⠣⡵⣈⠦⣙ ⣿⢯⣷⣟⣯⡷⣯⣷⣻⣞⣯⣟⣷⣻⣞⡿⣾⣽⣻⢾⡽⣻⡞⣷⡻⢷⣛⣾⣳⣟⣾⣳⣯⡿⣽⢯⡿⣽⣳⣟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⣿⢻⡽⢺⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢯⡹⣆⠻⣜⢣⠞⣥⢛⡴⣩⢞⡱⢎⡵⢋⡞⣱⢋⠶⣉⠷⡩⢞⡱⣘⠣⢖⡡⢓⡴⣉⠖⣡ ⣿⣻⢷⣻⡾⣽⢷⣯⢷⣻⢾⡽⣞⡷⣯⣟⣷⣳⢯⣟⢾⣳⢟⣳⣟⣯⣟⣾⣳⡽⣞⡷⣯⢿⡽⣯⣟⣷⣻⣞⣿⣿⣿⡟⢥⠲⡝⣾⣟⣿⣿⣻⣿⣟⣿⣯⢿⣞⣷⣻⣽⣚⠷⣘⢧⡚⡕⢦⢫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⢣⡭⢳⢬⢣⡛⡴⣋⠶⡱⢎⡵⢋⡜⣣⠞⡥⢫⡜⡱⢎⡱⢎⠴⢣⡙⢦⡙⢦⠱⣌⠚⡤ ⣿⣽⣻⢷⣻⢯⣟⡾⣯⣟⣯⢿⣽⣻⢷⣻⢮⣽⣳⢯⣻⣭⡟⣷⣞⣳⣞⡷⣯⢿⡽⣽⣏⣯⣟⣷⣻⣞⣷⣻⣿⣿⠫⠄⣉⣳⣽⣼⣿⣿⣿⢿⣟⣿⢯⣟⡿⣞⣷⡳⢞⡜⢢⠏⡖⡩⢞⡥⣛⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢣⢞⡱⢎⢧⡙⢶⡩⢞⡱⣋⠶⣩⠞⣡⠞⣱⠣⡜⡱⢊⠖⡩⢎⡱⡘⠦⡑⢎⡱⢌⡓⡔ ⣿⢾⣽⣻⣯⢿⣽⣻⢷⣻⣞⣯⢷⡯⣟⣞⡿⣼⢏⣯⢷⣳⣻⣳⣞⢷⣫⣟⡷⣯⣟⢷⣻⢮⡽⣞⣷⡻⣞⣿⣿⠁⠳⢾⣧⣽⣞⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⡝⣮⢞⡳⣎⠳⡵⢊⡴⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢮⠳⣍⠶⣙⢦⡙⣎⠵⣊⠗⡱⢎⡱⣊⠥⡓⣬⢱⡉⢎⡱⢊⠴⣡⠣⣙⠢⡑⠦⡱⢌ ⣿⢯⣟⡷⣯⣟⣾⡽⣯⢷⣻⣞⣯⣽⣻⣼⣛⣾⣛⡾⣏⡷⣏⡷⣞⣯⢷⢯⡽⣶⢯⣛⣧⢿⡽⣳⢾⣽⣻⣿⠃⢉⡷⣿⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⡿⣯⢟⡞⣞⡳⣜⣫⡑⠳⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢌⡳⢬⢳⡩⢖⡹⡸⡜⡡⢏⡕⢎⡱⣉⠖⡱⢢⠱⡘⠦⡑⣍⠲⢄⠳⣄⢣⡙⢆⡱⢊ ⣿⣯⢿⡽⣷⣻⣞⡿⣽⢯⣷⣻⢮⢷⣳⣳⠿⣜⣯⢷⣏⡿⣽⣹⢯⣞⣯⢯⣟⡾⣽⣛⣾⣫⡽⢯⣷⣫⣿⡟⢠⣯⣄⢿⣿⣿⣿⡧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡱⢦⡝⢳⡒⠦⡄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡱⣋⠶⣙⢎⡵⢱⠱⣙⠲⡘⢎⡱⢌⢎⡑⢣⠱⣡⢣⡑⠦⡙⣌⢃⢆⠣⡜⠢⣅⠣ ⣿⣞⣿⡽⣷⢯⡿⣽⣻⣟⡶⣯⢟⣯⣗⡯⣿⠽⣞⣯⢾⣝⡧⣟⡧⢿⣜⡯⢾⡽⣞⡽⣶⢏⣿⣛⡶⣯⣿⠇⠿⢱⣿⢸⣿⣿⣡⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠧⡝⢲⠱⣌⡠⢘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠳⣍⢞⡱⢎⠴⣋⢜⣢⡙⡱⢣⠜⡌⠦⣙⢂⠳⡐⠦⣑⢣⠱⡌⠎⡜⢢⡑⢣⠆⢣ ⣿⡾⣽⣻⡽⣯⣟⣷⣻⠾⣝⣳⣟⣞⡾⣽⢞⡿⣽⣺⣝⣮⡽⣞⡽⣏⡾⣝⣯⠾⣽⣹⢞⣟⣮⢿⣱⢯⣿⠀⣐⡊⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣜⢣⠷⢤⡡⠉⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡵⣊⢮⡱⢍⡲⢩⡒⢤⢣⡑⢣⠚⢬⡑⢢⢍⠲⣉⠖⡡⢎⠱⡘⡜⣠⠣⣘⢂⢎⡡ ⣿⡽⣷⢯⣟⣷⣻⢾⣽⣻⡽⣳⢾⣝⡾⣭⢿⣹⢧⢷⢾⣱⡟⡾⣵⢏⣷⢻⡼⣻⡵⢯⣾⣹⢮⣯⣻⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣭⡞⢣⢏⣬⡱⡌⢒⡠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢲⠍⣦⠱⡎⡜⣡⠚⡔⢢⡙⢢⡙⢦⡘⢥⢊⠵⡨⠜⡐⢎⠱⡐⢆⡡⢒⡡⢊⠴⡐ ⣿⣳⣟⡾⣽⢯⣟⡾⣽⣫⢷⣻⣞⣽⣳⣛⣞⢯⣞⠾⣼⢏⣷⡳⡽⣞⡽⣞⢧⡿⣱⠾⣭⡟⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠾⢞⡩⣇⠣⠌⡑⢺⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⡑⢎⡴⢩⡒⢥⠣⣍⠲⣑⠪⡑⢎⡱⢨⠱⡌⢚⠤⢃⠲⡑⡌⢆⠓⡌⢃⠎⡱⠘⡄⢣ ⣿⡽⣞⡿⣽⣻⢾⣽⣳⢯⣟⡵⣞⣧⢷⡻⣼⢏⣾⢻⡽⣺⢧⢿⣹⢾⣹⡞⣯⠾⣝⡯⣗⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣖⣿⢯⢀⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⡷⣎⠷⣤⢓⡒⣩⢒⣿⣿⣿⣿⡟⡹⠋⢴⣆⡘⣿⣷⣏⢲⡘⢥⡙⢆⠳⣨⠱⠌⡥⣙⠢⣅⠣⢃⠍⡆⠣⠍⠦⡑⠌⡌⠱⡈⠆⡜⢠⠃⡜⢠ ⣿⡽⣯⣟⡷⣯⣟⡾⣵⣻⠾⣽⣻⡼⣳⢏⣷⢻⢮⣏⡷⣏⢿⡺⣽⣚⣧⢟⣧⢿⣹⢾⣹⢾⣹⢟⡿⢥⣼⣿⣿⣿⣿⣿⣿⣿⣿⢳⠚⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣭⡛⠿⡵⣉⠞⣩⠳⢦⡀⢎⣽⣿⣿⣿⣇⢠⣅⠮⠿⢿⠿⣿⣗⠦⣙⢢⡙⣌⠳⣄⠫⡜⡰⢡⠣⡔⢩⢊⠜⡰⢩⠘⡰⢁⠞⡄⢣⠑⡌⠔⡡⢊⠔⡡ ⣿⣽⣳⣯⣟⡷⣯⣟⣳⣽⢻⣳⣭⠷⣏⣟⡮⣟⡽⢮⣗⢯⡯⢷⡳⣏⣾⢫⣞⣳⢯⢾⣹⡞⣽⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⣇⡋⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢮⡓⢦⡙⣷⡳⣬⣦⢥⡛⣤⡙⣦⣿⣿⣿⣿⣏⣿⢸⣿⣿⣿⣿⣾⣿⡜⣌⠣⣜⠰⢣⢌⡱⢢⢙⣂⠳⢌⡡⠎⢆⡑⢢⠡⡑⢊⠴⡈⢆⠱⣈⠒⡡⠎⡰⢁ ⣿⣞⣷⣻⢾⣽⣳⢯⣷⢫⣯⢷⣚⣯⡽⣞⡵⣯⢽⡻⣼⣛⠾⣯⢽⡳⣽⢻⡼⣽⡺⣏⡷⣽⢣⣟⡞⣿⣾⣥⣿⣿⣿⣯⣿⡳⢷⡈⡑⠌⢠⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣶⣍⢏⡞⣴⣙⣦⡹⢆⣿⣴⣽⣾⣿⣿⣿⣿⠐⡻⢷⢩⣿⣿⣿⣿⣿⡗⣨⠱⣌⠹⣂⠎⡔⢣⢌⠢⢃⠆⢢⠍⢢⠘⡄⢣⠘⣐⠢⡑⢌⠢⡁⢎⠰⡁⢆⠡ ⣿⢾⣳⣯⢿⡾⣽⣻⣼⣻⢞⣽⣹⢶⣻⢼⣻⢼⣳⡻⣵⣫⢟⡮⣗⣻⡼⣳⡽⣖⣻⡝⣾⡱⣟⢮⣽⡟⢻⣿⣿⣿⣟⣿⣯⢳⣦⣷⣶⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣼⣆⢳⣎⠿⣖⣾⣿⣾⣿⣿⣿⣿⣿⡀⣟⢈⣦⣹⣿⣿⢿⣿⠓⡤⢓⣌⢣⠱⡊⢜⡂⢎⡱⢊⡜⢄⠚⡄⢣⠘⡄⢃⠆⡱⢈⠆⡱⢈⠆⡱⢈⠄⡃ ⣿⢯⣟⡾⣯⣟⡷⣯⢶⣏⣟⡮⣗⣻⡼⣏⡾⡽⢶⡻⣵⢫⣾⡹⣞⡵⣫⢷⣹⢞⡵⣻⢖⣻⡝⣾⣿⠁⠰⠟⣿⣯⢸⣿⣯⡧⣴⣠⣴⣶⣦⣄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣮⣷⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⠃⢿⣿⠟⣽⣿⣿⠣⡙⡔⢣⠜⣢⠣⢍⠢⡙⢄⢢⠡⡘⢄⠣⡘⢄⠣⡘⢄⠊⡄⠣⡐⢄⠃⡔⢠⠃⡌⡐ ⣿⢯⡿⣽⣻⢾⡽⢯⡷⣞⢧⣟⣭⠷⣝⡾⣱⠿⣭⢗⣯⢳⡞⣵⡻⣼⣛⢮⡗⣯⡝⣧⡟⣧⢻⡞⣿⠀⠀⣦⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣛⣷⠿⣫⣾⢃⠧⡱⡘⢥⠚⣄⠳⣈⠱⡈⢆⠢⡑⢌⠢⡑⢌⠢⡑⠰⡈⢆⠡⢃⠌⡂⠜⡠⢂⠅⢢⠁ ⣿⢯⣿⣳⣟⣯⣟⣯⠷⣏⡿⡼⣞⢯⣻⠼⣏⣟⢮⣻⡜⣯⢞⣳⡽⣣⢯⣳⢻⡼⣽⢲⡟⣼⡳⣏⢿⣆⠀⢿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢟⣿⢅⠺⡰⢡⡙⠤⢋⠤⠓⡄⢣⠘⡄⢣⠘⡄⢣⠘⠤⡑⢨⠑⠌⡄⢃⠢⡘⠄⡃⠔⣁⠊⡄⢃ ⣿⣻⣞⡷⣿⢮⡽⣞⣿⡹⣞⡽⣞⢯⣳⢻⡝⣮⢟⡶⣻⡝⣞⣧⢻⡵⣫⣗⢯⣳⡭⢷⣫⢷⡹⣎⡯⢿⣆⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⢻⡯⢌⢣⡑⢧⠘⡥⢋⠌⡓⢌⠢⡑⢌⠢⡑⢌⠢⢉⠆⢡⠂⡜⡐⢌⠂⡅⠢⡑⠌⢒⡀⠣⠌⡄ ⣿⣳⢯⡿⣽⣏⡿⣽⣲⢟⡽⣞⣭⢷⣫⢟⡼⣏⡾⣳⢧⣛⢷⡺⣝⡾⡵⣞⢯⡖⣯⡳⣝⡮⢷⡹⣞⣻⣿⡄⣿⣿⣿⡟⢛⣫⣿⣿⣿⣿⣿⣿⠟⣿⠛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣹⡟⣌⠲⣡⠊⡕⢢⠡⢚⠰⡈⠖⡡⢊⠔⠡⢂⠱⡈⢌⠂⡅⢒⡈⢄⠣⡐⢡⠂⢍⠂⡌⢡⠒⠠ ⣿⡽⣯⣟⡷⣯⢷⣳⡽⢾⣹⡞⡽⣎⡷⣫⡽⣞⡵⣛⣮⢟⣮⢽⣣⢟⣵⢫⡾⣹⢖⣯⢳⡝⣧⢻⡜⣷⣿⣿⣿⣿⣿⣴⣿⡿⡏⢻⣿⣟⣤⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⢚⡯⣐⠣⢆⠹⣠⢃⠣⢌⠢⡑⠌⠴⢁⢊⠱⡈⢆⠘⡠⢃⡘⢄⡘⢄⠢⢑⢂⠩⢄⠊⡔⠡⠌⡡ ⣿⣽⣳⣯⣟⣷⣛⣶⢻⡝⣧⡻⣝⢾⣱⣏⢷⣹⢞⡽⣎⢿⡜⣧⣛⠾⣜⢯⣳⣛⠾⣜⢧⡻⣜⢧⡻⣜⣿⣿⣿⣿⣿⣿⡟⠳⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠌⡐⢫⢄⠫⡜⢠⢃⠌⡒⢌⠢⢑⠊⡄⠣⢌⠰⡐⡈⢆⠡⢂⠔⡂⠔⡈⢆⠡⢊⠰⡈⠒⢄⠣⡘⠠ ⣿⣞⣷⣻⣞⡾⣝⡾⢯⣽⢺⡵⣏⡟⣶⡹⣞⡽⣚⡷⣹⢮⡻⣵⢫⡟⡽⣎⠷⣭⣛⢮⡳⣝⢮⡳⣝⡞⡶⣿⣿⣿⣿⡿⠈⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠬⣙⠆⢳⠘⠤⣉⠆⡱⢈⢆⠡⢊⠰⡁⢆⠡⢂⠱⣀⠣⠌⢒⡈⢆⠡⢂⠱⡈⠤⢡⠉⡂⢆⠡⡁ ⣿⢾⣽⣳⢯⣟⡽⣞⡿⣜⣳⡽⣺⡝⣶⢫⢷⡹⣝⠾⣭⣳⢻⣜⡳⣽⢳⣭⣛⢶⣭⢳⡝⣮⢳⡝⣮⣝⡳⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡈⠴⣈⢏⠰⣉⠒⡡⢊⠔⡡⢈⠆⡡⢒⠈⡔⡈⢆⠡⡐⢂⡑⠢⡐⢂⠅⡊⠔⡠⢃⠢⡑⠨⠄⡃⠔ ⣿⣻⢾⣽⣳⢾⣹⣳⢽⡺⣵⢫⢷⡹⣞⡽⢮⣽⣚⢯⣳⢭⣳⢭⣳⢭⣳⢮⡝⡾⣜⢧⡻⣜⢧⡻⢶⣭⢳⢧⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⡐⢈⠲⢡⢎⡱⢄⡩⢐⠡⢊⠄⣃⠰⢁⠢⡑⠰⡈⢄⠃⡔⣁⠢⡑⢄⠃⡌⠰⣁⠒⡄⢃⠌⡑⢌⠰⢁ ⣿⣽⣻⢾⡽⣞⣧⢟⣞⣳⡭⣟⢮⢷⡹⣞⣳⢮⡝⣾⣱⢻⡜⣧⣛⢮⡳⣏⢾⣱⢏⡾⣱⢏⡾⣹⢳⣎⡟⡾⣴⢛⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠭⡀⢡⠌⡡⢂⡅⢺⡔⡨⢔⡡⢊⡅⢒⠠⡑⣈⠒⡈⢅⠒⣈⠒⡐⢄⠒⡨⠐⡌⠰⣁⢂⠒⡈⢆⡘⠰⢈⠢⢁ ⣿⢾⡽⣯⢷⣻⢮⣛⣮⢳⣝⣮⣛⢮⢷⡹⣎⢷⣹⠶⣭⣳⣛⠶⣭⡳⣝⡞⣧⣛⢮⣳⡝⣮⢳⣝⡳⢮⣝⡳⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡁⠞⡌⠐⡤⠂⠤⢡⠘⣐⠣⣏⡐⠆⡔⣡⠈⡆⡑⠰⣀⠃⡜⢠⢊⡐⢌⠰⣈⠂⡅⢃⠌⡡⢐⢂⠱⢈⠆⢌⠡⢊⠄⠡ ⡿⣯⣟⡷⢯⢷⣫⠷⣭⢷⣚⢶⡹⢮⡳⣝⢮⣳⢭⣛⢶⣣⢏⡟⡶⣝⢮⣝⠶⣭⡳⢧⣻⣜⡳⢮⣝⡳⢮⣽⣟⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣍⡳⢍⢦⣹⡰⢬⠑⡠⠨⠰⢀⣋⠄⠳⣼⡄⣙⠰⢠⡘⠤⣁⠣⡐⢌⡐⢢⠐⡰⢈⠢⠄⡃⠔⣈⠢⠑⡂⢌⠢⡁⢎⠠⠃⡄⢊⠐ ⣿⢷⣯⣟⢯⢷⣫⣟⢮⣳⡝⣮⣛⢧⣛⢮⡳⣝⡮⣝⣮⢳⣏⣞⡳⣝⠾⣜⡻⢶⣹⢳⡳⢮⣝⡳⢮⣝⡳⣞⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣭⢻⣌⠳⣭⢖⣦⠳⣌⢌⠡⢁⠒⢡⠈⢎⠡⠜⣷⡈⠜⣠⠘⡰⢀⢣⠘⡄⠒⡄⢣⠐⡡⢂⠱⢈⠒⡠⢁⠣⢘⠠⢂⠅⢊⠐⠡⠐⠂⠌ ⣿⣻⢶⢯⣛⡾⡵⣞⢯⢶⡹⣖⢯⡞⣭⣳⢻⣜⡳⣝⢮⡳⣞⡼⣳⢭⣛⣮⡝⣧⢏⡷⣹⢳⢮⣝⡳⣎⠷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣽⣳⢮⡳⣎⡳⡼⡞⡴⢫⡜⠌⢦⠉⠈⠄⡐⠂⡜⢨⢽⣿⡔⢂⠱⣀⠃⢆⠱⣈⠱⡈⢆⠱⣀⠣⡘⢄⠣⡐⢡⠊⡄⠣⢌⠘⡀⢊⠡⠌⠡⢈ ⣟⡷⢯⣟⡽⣺⣝⢾⡹⣎⢷⡹⢮⣝⠶⣭⡳⢮⣝⢮⡳⣝⢮⡳⣝⢮⣳⢮⣝⢮⡻⡼⣭⣛⠾⣜⡳⣭⣛⠶⣭⢿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣟⡳⢞⡥⢯⡽⣭⢳⢧⡹⢜⣣⡙⢾⡀⠎⠡⠀⢄⠡⡀⠣⢎⢿⣿⣧⣖⡠⢉⠆⡒⠤⡑⡈⢆⠱⣀⠣⡘⢄⠣⡘⢄⠣⡘⠰⡈⠆⡁⠢⠐⡈⢂⠁ ⣯⣟⣟⣮⡽⣳⢞⣯⢳⡝⣮⢽⡳⣎⡟⡶⣝⢯⡞⣧⣛⢮⢷⡹⣞⢧⣛⠾⣜⢧⡻⣵⢣⣏⠿⣜⡳⢧⣏⠿⣜⡧⣏⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⢾⡸⣹⡍⣞⣱⠞⣥⢻⢦⡙⣦⠧⡙⢦⡑⢎⠡⡀⠆⠰⢀⢣⠘⡼⣷⣏⡿⣿⣶⣾⣤⣵⣠⡑⣈⠒⠤⢑⠰⡈⢆⠱⡈⢆⠡⢃⠜⡠⠑⣂⠑⡠⠁⠌ ⣷⣻⡼⢶⣻⢵⣫⢞⣧⢻⡜⣧⢻⡼⣹⢳⡝⣮⡝⡶⣭⣛⢮⣳⡝⣮⣝⡻⣜⢧⡻⣜⡳⣞⡽⢮⣝⡳⣎⠿⣜⡳⣝⠾⣭⣛⠿⡿⢿⠿⣿⢿⣿⠋⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣞⡧⢷⡩⡜⠶⣥⢯⡙⣧⣾⠵⣣⠝⣌⠣⡜⢢⠡⡁⠂⠅⣂⠢⠘⢤⢫⡝⣻⣷⣻⢞⣽⣻⣟⣿⡿⣿⣶⣮⣴⣡⣈⠆⡑⠌⢢⠁⢎⡐⠡⡀⠎⢠⢁⠂ ⣷⣳⢻⣏⣞⢧⣛⡾⣜⢧⡻⣜⣧⢻⡵⣫⢾⡱⣏⢷⣣⢟⣮⢳⡝⡶⣭⢳⡝⣮⢳⣭⢳⡝⣞⡳⢮⡝⣾⡹⢧⡻⣜⡻⢶⡍⡷⣍⣛⠮⡵⢎⣽⠀⠀⠀⠀⢮⣿⣿⣿⣿⣿⣿⡿⡞⣥⢳⡉⢳⡜⣦⢿⡻⣌⠷⣢⠝⣠⠒⡌⢠⠃⡔⢁⠂⠴⢈⡑⢎⡳⢼⢯⡷⣯⣟⣮⢷⣻⣾⣟⡿⣽⣿⣻⣿⣿⣿⣷⣾⣤⣉⡤⠘⢠⠁⡌⠂⡄⢂ ⡷⢯⣛⣞⢮⡻⣜⡳⣝⢮⢷⡹⣎⢷⡹⢧⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⢷⡺⣝⠾⣱⢏⡳⣝⢶⣹⢳⡝⣧⣛⢧⠞⡵⢎⢧⡛⣜⢣⢾⡃⠀⠀⠀⠠⣼⣿⣿⣿⣿⣟⣷⡻⣬⢓⣌⠶⣹⣯⣗⣳⣭⠳⡆⣍⠲⠠⠄⠃⡜⠐⡌⡀⢂⠬⠑⡎⡵⢋⡞⣹⢳⣻⣾⣿⢿⣟⣾⣟⣷⣿⣿⣽⣷⡿⣯⣿⣿⣿⣿⣿⣦⣴⣀⠡⠐⠂ ⣟⢯⡽⣎⣯⢳⡭⣗⢯⡞⣧⢻⡜⣯⣝⡳⢮⣏⢷⡹⣎⢷⣫⢞⣧⢻⡵⣫⢷⡹⣎⠷⣭⢻⡥⣏⢷⡹⣎⢷⣫⢞⡵⣭⠺⡭⣝⢮⢣⡝⣬⠓⡾⡇⠀⠀⠀⠐⢼⣽⣿⣿⣿⣿⣷⣿⠶⣏⢬⣛⣷⣻⣞⡷⣊⠷⣉⠦⣁⠣⣘⠐⡈⠱⣀⠖⠡⠀⡝⡘⡔⠫⡔⢣⡞⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣾⢿⣟⣷⡿⣯⣿⣿⢿⣿⣿⣿⣾⣤ ⣯⣛⢾⡱⣏⢷⡹⣎⢷⡹⣎⢷⣛⠶⣭⣛⠷⣎⢯⡳⡽⣎⢷⣫⢞⣧⢻⡵⣫⠷⣭⢻⡜⣧⢳⡝⣎⢷⡹⣎⢷⣋⠾⣜⢫⡵⣚⡬⢳⡜⢦⡛⡴⣧⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣯⡿⣜⡶⣹⣾⢯⣟⣳⡽⢎⡕⢢⠰⣁⠣⡜⢀⠡⡘⢠⠁⢆⠐⡤⢩⠓⣬⢓⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣻⣿⣿ ⡷⣭⡗⣯⠽⣎⢷⣫⢞⡵⣫⡞⣭⣛⠶⣭⢻⡼⣣⢟⡵⣫⢞⡵⣫⢞⣧⢻⡵⣻⡜⣧⢻⣜⡳⢞⡭⡞⣵⢫⡞⣭⢻⢬⡳⣜⡱⢺⡱⢎⢧⡙⡖⣿⠀⠐⠄⢀⠀⠀⠉⣿⣿⣿⣿⣿⣟⡷⣏⣷⣿⣿⢿⣻⡝⢮⡜⣡⠓⠬⣑⠜⣨⠂⡁⢃⡚⢤⡈⢠⢃⡝⢦⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣽⣿ ⣟⡵⣻⣜⡻⣜⢧⣛⢮⡳⢧⡻⣵⢫⡟⡼⢧⡻⣵⢫⡞⣵⢫⡞⣵⢫⡞⣧⣛⢶⡹⣎⢷⣪⠽⣹⢼⣙⢮⣳⢹⡜⣣⢳⣙⠦⣝⢣⡝⢎⢶⣭⡿⠛⠀⠀⠀⢹⠆⣄⣀⠿⣿⣿⣿⣿⣯⣿⡽⣾⣿⣯⡿⣧⣛⢧⡚⡥⢊⠶⣩⢎⡡⢚⠄⢃⠜⡢⣄⠣⡘⣬⢣⠿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⢞⡵⣎⡷⣹⢎⣯⢳⡽⣳⡝⣮⢳⡽⣹⢧⡻⣜⢧⡻⣜⢧⣻⡜⣧⣛⢶⡹⣎⢷⡹⢶⣩⢏⠷⡮⣝⡞⣬⡓⣞⣱⢫⡜⣹⢬⣳⡾⠟⠋⠁⠀⢀⠀⠀⠀⢸⡅⣦⢉⡉⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡿⣖⡻⢦⡛⣌⢏⡾⡵⢪⡕⢯⣌⢣⣌⡱⢎⡧⣙⣤⢏⡿⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢷⣫⢞⡵⣫⢗⡯⣞⢧⡻⣵⢻⡜⣧⢻⡵⣫⢷⡹⣎⢷⡹⣎⢷⡹⢶⡹⣎⢷⡹⢎⡗⣯⣜⢫⢷⡹⡖⣽⠲⣝⡼⢲⣍⣾⠟⠋⡁⢀⠀⠀⠀⢰⣿⠀⠀⠀⠈⡇⠸⣧⣌⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣋⢷⡙⣞⣮⡽⣽⢳⣚⠷⣜⡲⣬⡳⢯⣶⢻⣼⣻⣞⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣫⢞⡵⣫⢞⡽⣎⠷⣭⢳⡝⣮⢷⡹⢧⣏⢷⡹⣎⢷⡹⢮⡝⣧⢳⡝⡮⡝⣏⡞⢶⢎⡿⢬⡳⣝⠮⣝⣲⣽⠟⠋⠀⠠⠀⢀⡀⢀⡈⢷⣾⣿⠀⠀⢠⠀⢻⡄⢽⣷⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡍⣎⢿⣼⣳⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⣱⣏⣞⡳⣝⢮⣳⢭⡟⣼⢫⡞⣵⢫⣝⡳⣎⢷⡹⣞⢧⣛⢧⢻⡜⣳⠞⡵⣋⢶⡹⣚⢮⡜⢧⣛⡼⣹⣶⠟⢡⣀⠈⢒⠠⣇⢢⣽⣦⣿⣿⣿⣿⠃⠀⠈⢣⠀⢳⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⡼⣣⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣻⢯⣟⡳⡽⣎⢷⣛⣾⣳⣿⣿⣿⣿⣿⣿⣿ ⣳⢯⡽⣹⢧⡻⣜⢯⡞⣵⢫⡞⣵⢫⡞⣽⢣⡟⡼⢧⡻⣜⡻⣜⢮⣓⢏⡖⢧⠻⣜⡣⢟⣬⢓⡮⢫⣵⡿⠋⠀⠈⢻⣤⣚⡤⢿⡞⣿⣻⣿⣿⣿⠏⠀⠀⠀⠈⡆⠸⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⡵⣿⣿⣿⣧⣻⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⣟⣿⣯⣿⣟⡿⣿⣻⣿⣽⣟⣷⣿⢾⣟⡾⣽⣳⢧⣻⣼⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⢯⡞⣵⢏⡾⣱⢯⡞⡽⣎⢷⡹⣎⢷⡹⣎⢷⡹⣝⢧⡟⣼⡱⢏⡶⢭⡺⣜⢫⣝⡲⢭⣓⢮⡹⣼⡟⠃⠀⠀⠀⣐⡠⠞⣿⡽⢎⡽⣶⢿⣾⢏⡆⠀⠀⠀⠀⠀⠑⠀⣧⠀⢺⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣝⡮⣝⡾⣿⣳⣿⣟⣿⣿⣽⣷⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣾⣟⣷⣿⣻⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⡼⣣⡟⣼⢣⡟⣼⢳⡝⣮⢳⡝⣮⢳⡝⣾⡱⣏⠾⣜⢧⡝⡞⣜⡣⢗⣎⠳⣎⣵⣫⣼⣶⠟⣉⣠⠀⠀⠀⢀⡿⣷⢍⣙⣧⣿⣾⣿⣫⣝⣾⣤⣄⣲⣤⣹⣦⠲⠤⣄⠀⠈⢿⣿⣿⣿⣿⣿⠃⢤⣿⣿⡿⢫⣙⢮⣳⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⢯ ⣞⡳⣝⢾⡱⣏⣞⢧⡻⣜⢧⡻⣜⢧⡟⣼⢣⡝⣮⣛⡼⢎⣞⡹⡲⣍⣷⡾⠟⢋⢉⣥⣶⣾⣿⣿⣿⣿⠿⡩⢞⣷⠟⠉⡐⢎⠛⡍⢯⡽⣻⣿⡻⢿⣿⣿⣿⣿⣷⣦⣜⣦⡀⠹⣿⣿⣿⣿⠏⢀⣿⡿⠉⢁⠣⣞⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣟⣿⣟⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠾⣝⢯ ⣯⣝⢾⣣⢟⡼⣎⡷⣹⢎⣯⢳⡝⣮⡝⣮⢳⡝⢶⡹⣜⣫⣖⣽⠿⢋⡡⢴⠶⣞⡾⣞⣷⣿⣾⣿⣿⣟⡶⣡⣿⠋⠀⠀⢁⠢⠕⡚⢡⢎⡱⠭⣽⠿⣟⢿⡻⣝⣮⣿⣿⣿⣷⡧⣿⣿⣿⡋⢥⣿⡏⣠⣄⣠⣔⣫⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣟⡿⣿⣾⣿⣿⡿⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣯⢿⡽⣞ ⡷⢮⣳⡝⣮⢳⡝⣾⡱⣏⡞⣧⣛⢶⣽⣮⡷⠿⢛⠛⡫⢍⠋⡅⣎⢱⡙⣎⠿⣜⣻⡽⣿⣾⣿⣿⣿⣿⣿⣿⠏⢀⢠⡐⣠⠉⠒⠬⡁⢎⡰⢿⣬⡻⣜⣯⢷⣻⣿⣿⣿⣿⣿⣷⣉⡟⢦⡑⣮⢯⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣻⡾⣿⣟⣯⡿⣿⣿⣯⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⣯⡿⣽⢯ ⣽⢳⢧⡻⣜⢧⡻⢶⣹⢮⣽⡶⠿⠛⠉⠀⠐⠤⠣⡘⠐⢊⠒⡌⢂⠧⣜⡎⣷⣹⡾⣽⣷⡿⣿⣿⣿⣿⠿⣡⠲⣌⢶⡹⢿⣆⣙⣲⠱⣮⢙⠶⣣⢿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠥⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢷⣯⣟⣷⣿⣳⣯⢿⡽⣷⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⡷⣟⣯⣿ ⣳⢯⡞⣵⣫⢞⣽⣳⠟⠋⠁⠀⠀⠀⠀⠐⠠⠂⢀⠈⠄⢡⠘⡰⣍⡞⣴⢯⡷⣯⣟⣿⡾⣟⡿⡹⣍⢆⡳⢣⡽⣘⣮⡟⣽⣿⣿⢣⠷⣌⣯⣛⣷⣻⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣶⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣯⢷⡿⣜⢯⢾⣭⢿⡿⣿⡿⣿⣾⢿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣻⣿⣾ ⣟⢮⣽⢺⣵⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠢⡜⢢⡝⢲⣟⡾⣽⣯⣿⣿⣻⡽⣛⢥⢳⡱⢎⢎⣝⢣⡻⣵⣳⡿⣟⣿⣞⣯⢿⣝⡶⣛⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣟⡾⣞⡯⣝⢿⣫⡗⣾⣯⣿⡽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⣷⣿ ⣻⢞⣼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠔⣠⠒⣭⠳⡜⣧⣿⣟⣷⣯⢷⣫⢇⡧⣙⢎⢣⠳⡞⡼⣌⢷⣻⢽⣯⢿⡽⣯⣟⡞⡿⣮⣽⢳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠘⢦⡈⢿⣞⣿⣿⣿⣿⣷⡿⣿⣟⡾⣽⣟⡾⣽⢣⡟⣽⣺⢷⣻⢽⣳⣯⣿⢿⣻⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢬⡸⣔⢫⢖⣻⣾⣿⠿⣝⡾⣡⠧⣍⠞⣰⠙⢎⡲⢥⣛⣼⣻⡼⢯⡟⣞⢯⣿⣱⢿⡜⣷⡝⣾⢻⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢳⣄⡆⣹⣜⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣳⢏⡷⣭⢗⣯⣛⣷⢻⣾⢯⣿⣻⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢆⡞⠶⣱⣮⣾⣿⣿⢿⡽⣛⡮⢱⡡⣚⡜⡸⢣⢛⣤⡝⣫⣼⠶⡽⢾⡹⡞⡭⢞⠶⢭⢞⡹⣞⡽⣮⢿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⣻⣽⢻⡼⣾⢿⣿⣿⢿⣻⣿⣿⣾⣳⢯⡻⣼⢛⡾⢧⣻⣼⣻⣾⢿⣽⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⡌⣞⣬⣿⣿⣿⣿⣿⣯⣿⡟⢧⠘⡅⣶⢩⠞⣱⢛⣼⢲⡝⣣⢟⡽⢞⡹⢻⡱⣛⢮⣙⣧⢫⡷⣭⢷⣯⣟⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣿⣻⣿⣯⣿⣿⣿⣿⣿⣟⣮⢷⡏⣯⢳⣭⢻⡼⣟⣧⣿⣹⣽⣻⣯⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⡜⣰⣿⣿⣿⣻⣽⣯⢿⣿⣯⠳⡜⢠⢛⡘⢤⡃⣞⡥⢏⡞⡶⣙⢮⣟⡼⡳⣍⣳⣫⡝⣮⣝⣮⣻⡽⢯⣿⣾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡷⢧⣿⣿⣿⣿⢯⣟⡾⣽⢻⡯⣟⣳⡛⢾⣳⣽⡽⣞⡿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⡼⣼⣿⣻⣷⢿⣽⣿⣽⣿⣿⣦⠃⡄⠙⠦⠸⠀⡗⡌⢲⡛⣜⠶⣙⡞⣼⣱⢯⣝⣣⢿⣝⣯⣟⣾⣳⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣼⣿⣋⢿⡟⣞⣻⣞⡷⣹⢏⡷⣫⢷⣹⣛⣷⣻⣽⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢠⡉⣥⢻⣽⣷⢿⣷⣯⣿⣿⣿⣿⣿⣿⠂⠄⠡⠒⠐⠈⠳⢐⡚⡡⢜⡭⢻⡴⣛⢶⣭⡞⣧⣟⣯⢿⣭⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢿⠙⣇⣿⢫⡝⣭⣓⣮⠷⣳⢾⣱⢟⣯⣟⣯⣷⣻⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣷⣟⡷⣯⣿⣿ ⠀⠀⣀⣄⣠⠌⢦⡱⣯⣿⣻⣾⡿⣯⣿⣿⣿⣿⣿⣿⡏⠙⠀⠀⠀⡰⣃⡤⢋⣜⣍⣫⣜⣣⣷⣻⣟⣶⡿⣟⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡉⠁⡫⢜⠣⢯⣜⣦⠳⣬⠷⣽⣚⣷⣞⣳⣾⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣹⣿⣽⣯⣿
✧˚ ༘ ⋆。♡˚🕌🌙₊˚ʚ ᗢ₊˚✧ ゚.
⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⠀ ⠀⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀ ⠀⢸⣦⡙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢋⣴⡇⠀ ⠀⠈⠻⣿⣦⡙⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⢋⣴⣿⠟⠁⠀ ⠀⢸⣷⣌⢿⣿⣦⡙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⢋⣴⣿⡿⣡⣾⡇⠀ ⠀⠈⠻⣿⣷⡝⢿⣿⣎⢻⣿⡆⠀⠀⠀⠀⠀⠀⢰⣿⡟⣱⣿⡿⢫⣾⣿⠟⠁⠀ ⠀⢀⡤⣌⢻⣿⣦⢻⣿⡎⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⢱⣿⡟⣴⣿⠟⣡⢤⡀⠀ ⢀⠘⠶⠟⠀⢹⣿⡇⣿⣿⢸⣿⡇⠀⠀⠀⠀⢸⣿⡇⣿⣿⢸⣿⡏⠀⠻⠶⠃⡀ ⠘⠿⢿⠿⠷⢸⣿⣧⣿⣿⣸⣿⡇⣀⣀⣀⡀⢸⣿⣇⣿⣿⣼⣿⡇⠾⠿⣿⠿⠃ ⠹⣶⣶⣶⣦⢸⣿⣿⡿⠿⢿⣿⠁⢿⣾⣿⡄⠈⣿⡿⠿⢿⣿⣿⡇⣴⣶⣶⣶⠏ ⠀⠀⠀⣠⣤⡘⢿⣿⣧⣀⡀⠀⢀⣼⣿⣿⣧⡀⠀⢀⣀⣼⣿⡿⢃⣤⣄⠀⠀⠀ ⠀⠰⠿⠛⠉⣡⣦⠉⠻⠿⣿⣿⣿⣿⣿⡇⢙⣿⣿⣿⠿⠟⠉⣴⣄⠉⠛⠿⠆⠀ ⠀⠀⠀⠀⠐⠛⠁⠀⡿⠂⣤⡍⢻⣿⣿⣿⣿⡟⢩⣤⠐⢿⠀⠈⠛⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡄ ⢿⣟⠛⠛⠁⠀⠀⠀⠀⣠⣾⣿⠋⠁⠀⠀⠀⠉⠛⢷⣄⠀⠀⠀⠀⠈⠛⠛⣻⡿ ⢰⣿⣿⣷⣶⣶⡶⢀⣾⣿⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⣷⡀⣶⣶⣶⣾⣿⣿⡄ ⠸⢿⣿⣿⣯⣀⠀⣾⣿⣿⡧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⣷⠀⣈⣽⣿⣿⡿⠇ ⠀⠀⠀⣸⣿⣿⣿⢶⣮⣭⣀⣀⡀⠀⠀⠀⠀⣀⣀⣀⣤⣴⡶⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⡏⢸⣿⢉⣿⠛⠻⡟⢻⡟⠛⣛⢻⣿⠉⣴⡆⢻⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠻⠶⣦⣼⣿⣀⣦⡁⢸⡗⠒⣂⣈⣿⣧⣴⠶⠟⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢬⣭⣝⣛⣛⣛⣛⣛⣛⣫⣭⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠛⠉⠉⠛⢿⣦⣬⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⢰⠀⠀⡤⡈⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⣿⡇⠀⣿⡽⢽⣿⣿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣼⣿⠃⡀⢿⣷⣬⣿⡋⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠏⣸⣷⣌⠻⢿⣿⣧⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⡄⠀⣩⣤⣍⠱⣤⣼⣿⡄⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣿⣿⡄⣿⣿⣿⡇⣿⣿⣏⣷⠠⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⡸⣿⣿⠀⣿⣿⣿⣝⡀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣼⣿⣿⣿⣿⣇⣿⣿⢰⣿⣿⣿⣿⡆⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡶⢿⣿⣿⣿⣿⣿⠸⠇⣿⣿⣿⠟⣿⣻⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣿⣶⣝⢿⣿⣿⣿⣷⣾⣿⡿⣋⣾⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⣿⣷⣌⡿⣿⣿⣿⣿⡎⣹⣿⡿⣟⣥⣾⠿⣛⣥⣾⣿⠏⢈⣾⢳⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⡝⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢛⡐⢂⣾⠏⣹⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣷⣶⣯⣭⣛⣛⣛⠉⠀⡀⠲⢋⣴⡿⠃⢃⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣎⣛⡿⠿⣶⣦⣤⣶⣷⣿⠿⠋⢀⣤⣾⣯⣿⣿⣿⡟⠿⢿⣿⡇⠀⠀ ⠀⠀⣾⣿⣿⣿⣼⣿⣿⠟⠋⣽⣿⣷⣿⣿⣿⣿⡿⠿⠿⠟⠛⢋⣁⣦⣾⣿⠟⣿⣿⣿⡿⠋⠀⡀⠘⣿⠟⠀⠀ ⠀⢀⣿⣿⣿⣿⡿⠋⠀⠀⣠⣿⠋⠘⣿⣿⣾⡝⠻⡿⢷⣿⣿⣿⡿⠿⠛⠁⣼⣿⣿⣿⡇⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⢸⡿⠿⠛⠁⠀⠀⠀⢀⣿⣿⡏⠙⢻⣿⣿⣿⣬⣁⣐⣀⣀⣀⣀⣢⣤⣿⣿⣿⣏⣿⠃⠀⠀⠀⢀⣾⠀⠀⠀ ⠀⢸⡇⡀⠀⠀⠀⠀⠀⣼⣿⣼⣻⣿⣟⣛⣭⣭⣿⣿⣿⡿⠛⠛⠛⠛⠛⢻⣿⢿⣿⣿⣦⣴⣶⣾⣿⣿⠀⠀⠀ ⠀⣼⣀⠀⠀⠀⠀⠀⢠⣿⠟⢿⣿⣿⣿⣀⣠⣹⡿⠛⠁⠀⠀⠀⠀⠀⠀⠈⣿⠀⢨⣿⠿⠿⠿⠟⣻⡏⠀⠀⠀ ⠀⣿⣿⣿⣶⣶⣤⣴⣿⠟⠀⠸⣧⠀⠺⢯⣍⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⣿⠀⠀⠀⠀⠈⢷⡀⠀⠀ ⠀⣿⢹⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⡻⢶⣤⣙⠿⣿⣿⣶⣤⣀⣀⣤⡄⠀⢸⣿⠀⣾⢻⣧⣀⠀⠀⠀⣾⣧⠀⠀ ⢠⣿⠟⠀⠀⠈⣷⣿⠇⠀⠀⢈⡿⣧⣀⠦⣉⠛⠲⠯⢹⠛⠛⠋⠁⠀⣀⣿⣿⣶⡏⠀⣿⠛⢻⣿⢾⣿⢿⣇⠀ ⣾⡟⠀⢀⣤⡾⠛⣿⡇⠀⠀⠘⣷⣤⣉⣛⣶⣦⣄⣀⣀⣀⣠⣤⣶⣾⠉⢀⣸⣿⡇⠀⢿⣴⣿⣫⣹⣿⣼⣿⠀ ⣿⠇⡌⠉⠁⠀⠀⣽⡇⠀⠀⢰⣿⣿⣿⡏⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣞⣿⣿⣿⣿⣧⢀⣿⠀ ⣿⡀⠀⠀⠀⠀⢀⣿⠃⠀⣰⠟⠀⠀⠈⠛⠶⠶⠾⠿⠿⠿⠿⠿⣿⠿⠿⣿⣿⠉⠛⢿⣀⣻⣿⣿⣿⣟⣱⣿⡆ ⣿⠿⣦⡀⢀⣴⣿⡿⠀⣰⡟⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⢀⣼⣿⡷⠽⣷⣿⣿⣻⣹⡇ ⣿⣦⣈⣻⣟⣡⡾⠁⢀⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠻⣻⣿⡟⠛⢻⣯⠛⠛⣻⣇
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⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀
⠀⠓⣄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠙⠒⠦⢤⣄⡀ ⣶⠶⠿⢧⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠉ ⣿⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⣿⣼⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⣿⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⣿⣥⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⣿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣇⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⡇⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡜⣿⣿⣿⣿⠀⠀⠀⠀⠉⠻⠿⣿⣿⡿⢋⠜⣼⠟⣁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣇⣿⣿⣿⣿⣇⠹⣿⣿⣿⡉⠒⠲⠦⠤⣀⣀⡀⢹⡀⠎⡼⢋⡞⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⣿⠘⣿⣿⡍⣿⡀⢻⡿⣿⣇⢠⣤⣀⣀⡀⠀⠉⣀⠉⠛⢥⣊⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⣆⣉⡙⠓⢾⣿⠻⣜⢧⡀⠱⠈⠻⣏⣀⣭⣭⣭⣭⣥⠤⠶⠖⠂⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⡿⠃⠈⣿⣏⣻⣶⣮⣍⠀⠈⠀⠀⠀⠀⠒⠛⠙⣿⣍⣹⡿⠀⢀⡤⠒⠀⠀⠼⣟⣋⠉⡠⠉⠉⢿⣿⣿⠃⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⢷⢤⣀⡈⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣈⣙⡯⣥⠔⠋⠀⠀⠀⠀⠀⠀⠀⢹⡀⠘⡆⠘⡿⠃⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⢸⠀⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠆⠀⠀⠀⠀⢉⣶⠀⠃⢸⣁⣀⣀⣀⣠⠄ ⠀⠀⣿⣿⣿⣿⣿⡿⡾⡀⠀⠀⠀⠀⠀⠀⢳⣄⠠⠤⠀⠀⠀⠀⠀⠤⣦⢦⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⢉⡴⠆⢠⣿⣿⣿⣯⣥⣤⣤ ⠀⠀⣿⣿⣿⣿⣿⡇⠻⡇⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⢀⣴⣿⣿⣿⣿⣿⣿⣿⣭ ⠀⠀⣿⣿⣿⣿⣿⡇⠀⣇⠀⠀⠀⠀⠀⠀⢀⣤⠠⠤⠤⢄⡀⠀⠀⠀⠀⠀⠙⠦⠞⠁⠀⠀⠀⠀⢰⣀⣠⠴⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⡇⠀⠘⢧⠀⠀⠀⠀⠀⣿⣿⣶⣶⣶⣿⣿⡆⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢠⣿⡿⠃⠀⠀⠹⣿⣿⣿⣿⣿⣿⣦⣀ ⠀⠀⠸⣿⣿⣿⣿⡇⠀⠀⠈⠣⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢹⡟⠀⠀⠀⠀⠀⠙⣿⣿⣿⡄⠉⠛⠉ ⢀⠀⣰⣿⣿⣿⣿⣧⠀⠀⠀⠀⠙⢆⠀⠀⢹⣿⡿⠋⠖⠉⠀⡼⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠳⠉⠻⠀⠀⠀ ⡎⢠⡿⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠳⣄⠐⠛⠓⠤⠤⠴⠊⠁⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⣿⢉⠉⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⣼⠁⠈⢿⣿⢹⣿⡇⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠸⣼⠁⠘⣿⣷⣄⣀⣀⣀⣀⣀⣀⠀⣀ ⣾⠇⠀⠀⠘⣿⡇⠻⣿⣠⣤⣤⣤⣤⣤⣴⣶⣿⣶⡤⠤⡤⠖⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠹⡿⣿⣿⡿⠿⠛⠛⠋⠉⠉ ⡟⠀⠀⠀⠀⣨⣿⠋⠙⠷⣄⠀⠉⠙⢛⣿⡿⠋⢱⠃⠰⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠉⠀⠀⠀⠀⢀⡿⠘⢿⣿⣦⡀⠀⠀⠀⠀ ⠁⠀⠀⢀⣼⠃⢸⡄⠀⠀⠀⠁⢠⣾⠟⠉⠀⣠⢿⠀⠘⣇⡷⠀⠀⠀⠀⠀⢀⡠⠖⠋⠀⠀⠀⠀⠀⠀⢀⠏⠀⠈⠙⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⣼⣷⠀⣀⡀⠀⠀⣠⡶⠋⠀⠀⠀⢠⠏⡞⠀⠀⢹⣅⣀⣀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠈⢻⣿⣿⣦⡀⠀ ⠀⠀⣰⣿⡇⠀⣿⣿⢠⡚⠁⠀⠀⠀⠀⢀⡎⠀⡇⠀⠀⡤⠦⣾⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠈⢉⣽⠟⠱⠄ ⠀⠀⣿⣿⡇⠀⣿⣿⡆⣿⣦⡀⠀⠀⠀⢸⡇⠀⡇⠀⣼⣷⣾⣿⣶⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⣠⣴⣯⠁⠀⠀⢴ ⠀⠀⣿⣿⣿⡇⢿⣿⣇⢹⣿⣷⣄⠀⢀⣸⡇⠀⡇⣰⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣠⢞⡿⢤⣀⠀⠀⣀⣴⠾⠛⠿⣷⣂⠀⠀⢘ ⠀⠸⣿⣿⣿⣷⢈⣿⣿⣾⠿⠿⠛⠋⠉⢹⡇⠀⣇⡳⡄⣿⣿⣿⣿⣿⣏⣨⢧⠀⢀⡴⠞⢓⠞⠀⠀⠈⠛⢯⣁⠀⠀⠀⠀⠀⠘⢷⠀⠘ ⠀⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢸⣇⠈⣆⠙⣝⣿⣿⣿⣿⣿⢉⠤⢬⣟⡉⠑⢦⡎⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⣀⡀⠀⢘⡆⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⡼⠀⠀⠀⣏⠀⠈⠳⡈⣾⣿⣿⣿⡟⠁⠀⡀⠀⠈⢉⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡦⠉⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣧⠀⡀⣶⢁⠀⠀⠀⣧⣾⠀⠀⢹⣿⣿⣿⣿⡇⠈⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣶⣶⣤ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⢱⡌⢿⢸⠀⠀⢹⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣼⡎⡜⠀⢸⡀⠀⣼⣿⣿⣿⣿⣿⡇⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢡⡆⡇⢸⡇⢠⣿⣿⣿⣿⣿⣿⡇⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⢸⣷⡇⢸⡇⢸⣿⣿⣿⣿⣿⣿⠁⢀⡿⠀⡠⡊⣠⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⡇⣿⣿⣾⣿⣿⣿⣿⣿⣿⢀⡞⠀⡴⡽⡱⠁⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣡⠞⣝⡞⢁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⠀⡇⠀⡼⠀⠀⠀⣿⣏⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣷⣯⣿⣿⣿⣿⣿⣦⣧⣤⣤⣤⣿⣿⣿⡶⣦⡀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣰⠦⣌⢷⡀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠁⠀⣠⡶⣿⠿⣿⠟⠉⠙⠻⢿⣿⣿⣿⣿⣿⣷⡀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⢿⣿⡅⠀⣸⣷⠷⡄⠀⢀⣠⣾⣿⠟⠁⠀⠀⢀⡼⠋⡼⠃⣸⠋⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣦⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡄⠚⠛⠛⣒⣶⡟⠋⠁⠀⠻⣷⢀⣿⠋⣻⣶⣾⣿⣿⠟⠁⠀⠀⠀⢠⡞⠀⡼⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣟⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣄⠸⡉⠉⠙⣿⣄⠀⠀⠀⢹⣿⠃⠀⠙⢿⣭⡽⠁⠀⠀⠀⢀⣴⡟⠀⣸⠁⠀⠀⣿⡀⠀⠀⢰⠀⠀⠀⠀⠈⠛⠻⣿⠉⠿⠿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣧⢓⣶⣤⣌⣛⢦⡀⣷⣆⠟⣶⢰⢀⣼⡿⠁⠀⡰⠀⣸⣿⣿⣿⠛⣿⠀⠀⠀⠘⣷⡀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠏⠀⠀⠀⠈⣉⣙⣚⣿⣤⠟⢛⠛⣻⠇⠀⠀⣷⣴⣿⣿⣿⣿⣷⡿⣼⣧⡀⠀⢿⣿⣿⣾⣿⣄⠀⠀⠀⠀⠀⢀⣿⡇⣤⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣺⢋⣽⢿⣍⠙⢐⣿⡾⠀⠀⣿⣿⣿⠛⣿⣿⣿⣧⠹⡟⠻⣤⣸⣿⣿⢿⡛⢿⡟⠶⡄⠀⢠⣾⣿⣶⣿⠀⠀⢸⣿⢳⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⠛⣫⡿⠛⣿⠏⣄⠯⢡⣼⣿⡇⠀⢠⣽⣿⠹⣴⢻⣻⣿⢿⠀⠠⣼⣿⣿⣿⣿⣷⣄⡘⣿⠀⠀⠀⠈⠉⠙⣿⠁⠀⠀⢸⣿⡎⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⣰⣿⣔⣾⣿⠟⣇⠀⣾⣿⣿⣦⠈⢹⡿⠃⢸⠀⣴⡿⠉⠀⡴⣻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⣿⣿⠋⠏⠀⠀⠀ ⠀⠀⣀⣀⣀⣀⣽⣯⡀⠀⠀⣰⣿⠘⣿⡀⠀⠀⢹⡄⣹⣿⣿⠀⠀⠀⠀⠀⢾⣿⠉⠁⠀⠀⣏⢿⣿⢿⣿⣿⣯⣀⠀⠀⢠⣦⡟⠀⠀⣀⠸⣿⡛⠗⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠳⣶⣿⠃⠀⢹⡟⣶⠆⠀⢳⣝⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠛⣩⣿⠟⠀⠀⢠⣿⣼⠃⠀⠀⢿⡆⣌⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣎⠻⠶⠂⣼⠃⠀⢀⡾⣿⢻⣿⣷⣿⢿⣿⣷⣄⠀⠀⠀⠀⠀⠐⠶⠶⣾⣯⡤⠞⢀⣴⣿⡿⣿⠀⣀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢀⡼⠁⠀⠀⢸⣧⣾⣿⣿⠻⣅⠀⠉⠉⠉⠀⠀⠀⠀⣀⣀⣤⡾⠛⠁⣀⣤⠞⠛⠋⢠⣿⢠⣿⡄⣼⣿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡿⠁⠀⢀⣾⡿⣿⣿⣿⣿⣷⡘⣦⡀⠀⠀⠀⠀⠀⠈⣉⣹⡛⣻⣶⣿⣿⠏⠀⠀⣠⣿⣿⡞⣼⣷⢿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⠀⠀⣠⣾⡟⣹⣯⣾⠋⣠⣿⣿⢸⣿⣿⣶⡶⠚⠋⣉⣿⣾⣿⠿⠛⡽⠃⠀⣠⣾⣿⣿⠻⡏⠉⠁⠈⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⣧⣰⣿⣿⣇⣽⡿⠁⠀⣿⣿⣿⣼⣿⠟⠙⣿⣤⣾⠿⣾⡛⠚⢻⣿⠁⣠⣾⣿⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡴⠶⠛⠛⠺⣧⠈⢿⣵⣿⣿⢿⡇⠀⢠⣿⣿⣿⣿⣣⢴⡾⣟⣿⡁⣟⣡⣼⣤⣼⣷⢿⠟⣽⣣⣿⡿⠛⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⢰⣿⡄⠈⢿⣿⠋⠘⣧⣤⣾⠟⠋⣹⣿⣵⣿⣚⣳⣾⠿⡬⠗⠛⣿⡟⠁⡿⢰⣿⣿⠟⠁⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣏⣤⣶⠿⠿⣽⣧⣸⣏⠛⠀⢸⡇⠀⠀⠙⠉⢀⣤⡾⠟⠉⠁⠀⢀⣿⣿⠀⠀⠀⠀⡟⠀⠀⣇⢸⣿⠏⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠁⠀⠀⠀⠈⢳⡿⣿⡄⠀⠀⠀⠀⢀⣠⢾⣉⣭⡭⣭⣭⣭⡉⢻⣿⣯⡳⣄⣠⡞⣻⡀⠀⠹⡄⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢳⡻⠀⠀⢀⣠⡿⣧⣯⣠⣏⣈⣴⣯⣤⣘⣂⣿⡟⣷⣽⣷⡿⠛⣷⣄⠀⠹⣄⠘⣦⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⠟⣛⣿⣷⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠈⣿⠀⣠⠞⠋⠀⠀⠉⠙⠛⠋⢉⣩⣿⣿⣿⣿⠟⠛⠉⠒⣐⣛⣻⣿⣷⡀⠹⠀⣿⠀⠀⠀⠀⠀⣠⠞⣽⣿⣄⣴⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠀⠀⠸⣾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠈⢵⠟⠛⠉⠀⠀⠀⠀⢀⠈⣿⡿⠛⠉⡇⠀⣴⣏⠀⠀⠀⠀⣴⢏⣤⢃⣾⣿⡿⡃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡟⠀⠀⠀⣿⣿⣦⡀⠀⠀⠀⠀⠐⣦⡜⣷⣄⠠⠀⠀⠀⠀⠰⣿⠿⠿⣿⣣⣴⣧⠞⢑⣿⣧⡀⠀⢸⢃⡾⠹⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⣇⠀⠀⠀⢿⣿⣿⣿⣿⣷⣶⣶⣦⣌⣿⣿⣯⡄⠀⠀⠀⠀⠀⠉⠳⢶⣴⡶⠋⠁⠀⡾⢻⣷⣍⣳⣾⣿⠁⠀⣿⡿⣳⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠘⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣴⣾⣿⣿⣷⡀⠀⣴⣃⣸⣿⠁⠉⢻⣿⡆⠘⠻⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠒⠲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⠾⣿⣶⡄⠀⠉⣠⣴⣾⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣦⠀⠀⣠⣶⡞⠛⠉⠉⠛⢿⣿⣿⣿⠟⠛⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠻⢿⣿⢷⣦⣝⠻⣀⡴⣾⠟⢁⣾⡿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⣾⡿⢿⣻⠿⠋⠀⠀⠀⠈⠛⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠉⠻⢦⣈⠉⠙⢷⡟⠀⣾⠁⣿⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣖⣻⣿⡿⠟⠁⠀⠀⣀⣀⣤⢖⣋⣤⠼⣿⣛⣿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠆⠀⣿⡀⠉⠳⠾⣇⣳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣈⣽⣿⣥⣴⣶⡾⣿⣛⣫⡵⢟⣫⠵⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠻⣆⠀⠀
⠀⠀⠀⠀⢀⡴⢞⣏⣉⣴⡦⣀⣲⣶⡮⠽⣆⡚⠻⢶⣤⡀⠀⠀ ⠀⠀⣠⠴⢉⢀⠎⡿⠘⠋⣾⢯⣛⡉⢠⣶⣾⠋⣀⣤⣈⡛⠃⠀ ⠀⡔⠁⡼⠻⠃⣠⣡⠶⣋⣴⣯⣿⣿⣿⣿⣿⣾⡋⣿⣿⣿⡿⡇ ⣼⣣⠞⢀⢀⣴⣿⣷⣾⣿⣿⣿⣿⣿⠿⠀⠙⠻⢿⣿⣿⣿⣇⣳ ⣿⣿⡄⣸⣾⣿⣿⣿⣿⣟⣻⡟⠃⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⡏ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠧⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠟ ⢿⢿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀ ⣼⠟⠻⣿⣿⡏⠀⠀⣀⣤⣔⣲⣿⣛⡳⠀⣤⣾⣿⣷⣶⡆⣿⡇ ⢿⡘⠉⣙⣿⠀⠀⠀⠙⠋⠭⠭⠭⠏⠀⠀⠘⡍⠉⠉⠋⠁⣿⡇ ⠈⣷⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠣⡀⠀⠀⠀⣿⡇ ⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠑⠤⣤⣀⣤⠚⠂⠀⠀⣼⡇ ⠀⠀⠑⢶⣣⠀⠀⠀⠀⠀⠐⠁⣀⣀⡀⠀⠉⣁⣀⠔⢃⣾⣿⠁ ⠀⠀⠀⠀⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⡴⠃⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢃⡰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣤⣤⣤⣤⣀⣀⣀⣀⠜⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡠⠒⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢒⢠⠏⡱⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⢤⡤⠊⠀⠀⡎⠁⠉⠰⠀⠀⡠⢋⢔⢕⠃⠐⠰⡘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⡹⠶⠤⠚⠀⡜⠡⢁⠂⣀⠎⡐⡱⠁⠀⠀⠀⠀ ⠀⠀⢀⠤⡲⠮⢝⠋⠉⠹⣖⠾⡀⠀⠀⠀⡼⢡⠃⡈⢀⡋⠬⠞⠐⣒⡒⠠⢄⡀ ⠀⡴⠁⠸⣰⣿⣿⠔⣒⡢⡸⠀⠘⡄⠀⡰⢡⡢⠔⠋⠁⢀⠁⠤⠀⠐⢀⠠⠐⠑ ⢰⠁⠀⠀⠀⠁⠸⡸⣿⣭⠇⠀⠀⢰⡴⠗⠁⠐⠂⠀⠉⠀⠠⠄⠐⣈⠔⠈⢀⠔ ⠘⡆⠀⢹⣑⣂⠤⢼⠍⠁⠀⠀⢀⠏⠉⠙⢧⠒⠒⣒⡒⠬⠿⠬⠅⠛⠒⠉⠁⠀ ⠀⠘⠦⣈⡻⠵⠤⠊⠀⢀⣀⠴⠋⠀⢤⢀⠀⣏⠀⠈⣿⣿⡗⠢⣄⡀⠀⠀⠀⠀ ⢀⢀⣀⠰⡩⠋⠉⠛⡏⠉⠀⠀⢠⢈⢎⢼⣴⠃⠀⢀⣿⣿⡇⠀⢸⣿⡶⢄⠀⠀ ⠸⢤⡤⠞⠁⠀⠀⡠⢛⠦⣄⡀⠂⣁⣸⠗⠃⠀⢀⣾⣿⠟⠀⠀⣿⣿⡇⠀⢳⡄ ⠀⠀⢠⠄⠀⠐⢊⡴⠋⠀⢀⠭⢛⠽⣇⠀⣠⣴⣿⡿⠋⠀⢀⣾⣿⡿⠁⠀⣼⣿ ⠀⠀⠈⠓⠒⠚⠉⠀⠀⡎⢀⡎⠁⢔⡹⠿⣿⡛⠉⠀⢀⣴⣿⣿⡟⠁⠀⣰⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠋⢰⡁⠚⠠⡀⠀⠉⠛⢻⢿⢿⣿⣥⣤⣤⠴⠿⠛⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠚⠁⠀⠀⠀⢸⢸⠀⠀⢸⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⡇⠀⠀⡆⠸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠼⠁⠀⠀⢣⡀⢙⡆⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣙⣚⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣽
⠀⠀⠀⠀⠀⠀⣀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠊⣡⠴⢦⣄⠑⣄⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⢸⡅⠀⢸⣌⡧⢸⡄⠀⠀⣠⣤⣿⣿⡿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢧⡈⠳⢤⣤⠟⠁⡼⣀⣠⣤⣿⣿⡛⠛⠻⠿⣿⣿⣷⠀⠀⠀⣠⠖⢉⣉⣉⠓⢄⠀ ⠀⠀⠀⠀⠀⠙⠶⠤⠤⣶⡿⠛⠉⢸⣿⠿⠿⠷⠀⠀⠀⣤⣟⣳⢄⠀⢰⠃⡴⠉⠙⣽⣷⡈⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⢠⣴⣿⡿⣿⣦⡀⠀⠀⠀⣉⣙⡛⠿⠳⣽⡄⠻⣄⡀⣸⡿⠁⡿ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⢠⣿⣿⣷⡿⠀⢩⣧⠀⢠⡾⣿⠿⠿⣦⡀⢹⣿⠦⣈⣉⣉⡤⠞⠁ ⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⣿⠙⠛⠋⠀⠀⢸⡟⢀⣿⣿⡿⠀⠀⠈⣷⢸⣿⠀⠈⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡟⠋⠙⣆⠙⢷⣤⣀⣠⣦⣿⡃⢸⣛⠉⠀⠀⠀⢀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣧⠀⣴⣿⠟⠛⠉⠉⠙⠿⣿⣉⣹⣿⣷⣶⣦⣶⣾⠃⢀⣻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠈⠛⠛⣿⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠈⠙⢷⣄⡾⠹⢙⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡆⠀⢠⣿⢿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣨⣼⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⣄⢸⣿⡆⠈⠛⠿⣗⣶⠤⣤⣀⣀⣀⣀⣀⣠⣴⡟⠙⠛⢫⡇⠀⠀⠀⠀⠀⠀ ⠀⢠⠞⢛⢢⡈⠿⣿⣏⢻⣮⣤⣀⡀⠉⢉⡙⠒⠒⠛⠛⠛⢉⡿⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀ ⢀⣯⠞⠁⠈⢧⢄⠈⠙⠛⢿⣿⣿⣿⣿⣶⣾⣷⣶⣦⣤⣴⣟⣁⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡀⢠⡶⠛⠻⣧⠀⢀⣴⣾⣿⡟⠛⠛⣿⣿⣿⣿⣿⠿⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡏⠀⠀⣀⣿⢻⡏⢾⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡗⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⣿⣶⣿⣿⣧⠟⠁⣿⣿⢿⣿⡿⣿⣿⢿⣿⡻⢿⡟⢧⡀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⠻⣿⡿⠁⠀⣰⡟⠿⠟⠋⠀⣀⣄⡀⠋⠻⠟⢻⡄⢳⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠃⠀⢰⡟⠀⠀⠀⠀⢸⣧⣾⣿⠄⠀⠀⠀⢻⡌⣷⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⠀⠀⠀⡿⠁⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠘⣷⢸⣄⠤⣄⣏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡀⠀⠀⣷⡀⠀⠀⠀⠀⢰⣿⣿⣷⠀⠀⠀⠀⢀⣿⡏⠉⠉⣿⢻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣧⡆⡄⠹⣧⡀⠀⠀⠀⠘⢿⡿⠟⠀⠀⠀⢀⣾⢿⠀⢀⣶⠿⢾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣦⡈⠳⢦⣤⣀⣀⡀⠀⣀⣠⣴⡾⢟⣡⡞⣿⣿⠇⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠛⠿⣿⣷⣦⣬⣉⣹⣛⣛⣉⣭⣥⠾⠛⠉⣇⠘⣧⠀⠀⣼⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠉⠛⢿⡟⠛⠛⣿⠟⠉⠀⠀⠀⠀⢻⠀⠙⠻⠾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣧⣄⣀⣀⣀⣀⣠⣧⠀⠀⣿⣀⣀⣀⣀⣀⣀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⢸⣆⣾⠃⠀⠀⠀⠀⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣧⣄⣀⠀⠀⠀⠀⣀⣸⡿⣿⡀⡀⠀⠀⠐⣘⣤⣀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢔⣲⣒⠶⢶⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⣀⣀⡈⠑⠒⠀⠐⠋⠁⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⡼⠁⣦⠌⢁⡒⠢⠄⣀⠀⠤⠐⠒⢈⣉⠱⡀⠀⠀ ⠀⠀⠀⠀⢀⠼⠒⠀⠈⠉⡇⠸⢨⠁⠐⠊⢭⢶⣏⠀⡶⠖⠛⢹⠁⡇⡇⠀⠀ ⠀⠀⠀⠀⡎⠀⠀⣀⠤⠄⠚⢄⠩⢵⣤⡔⠿⡡⠛⢆⠑⢄⣠⣊⠠⢡⠃⠀⠀ ⠀⠀⠀⠀⢱⠔⢺⠁⠀⠤⠤⠄⠛⠒⣲⣶⠭⢤⠴⢖⡛⠒⢶⠒⡎⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⢸⠀⢠⡆⠀⠀⠀⢸⠁⠆⠀⡸⠀⣜⠄⣰⠇⢀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⠉⠀⠀⠣⣀⣀⠀⠀⡉⠐⠒⢒⣊⠥⢚⣉⣀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠒⢒⠖⠸⠁⣿⣒⣚⣫⣉⣉⣿⢷⣫⡟⠒⠺⡦⠤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢄⠘⢎⣿⡒⣒⣾⣿⣷⣀⣷⡋⣷⣄⡽⠛⡈⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠉⠷⡖⢻⢻⣿⣿⠿⡿⠋⠁⠈⠐⡤⠿⡏⠀⠀⠀ ⠀⢀⠞⠫⡀⠀⠉⠢⡇⠀⠀⠀⣰⡞⠋⡕⠁⠀⣿⠰⢤⠄⡤⢺⣀⡇⠀⠀⠀ ⢀⣎⣶⡄⢡⠀⡤⢤⣳⣀⣤⣊⣀⠇⢸⠀⠀⣰⠛⢧⣘⣀⡷⡇⣇⣈⢆⠀⢀ ⢸⣾⠿⢹⢸⡆⠸⡀⢣⣎⠉⡄⠀⠑⣄⠀⠀⡏⡄⠘⣁⢰⠀⡇⡇⠀⠉⡄⢸ ⠀⡞⠟⠇⢸⠀⠀⠱⣸⡇⠃⢲⠀⠀⢹⠀⠀⠓⠓⡈⠀⢹⠚⠀⡇⠀⠀⠀⠈ ⠀⠘⣄⡠⠃⠀⠀⡠⠛⡓⠃⡌⠀⢀⡌⠓⠄⣀⣀⣓⡦⠞⡍⠉⠀⠀⢠⠃⠀ ⠀⠀⠈⠉⠉⠉⠉⠁⠀⠈⠒⠒⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠒⠒⠒⠒⠉⠓⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠓⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⢉⡿⠀⠀⢀⣀⡤⠖⠒⠒⠒⠦⣄⠀⣠⣄⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡴⠚⠋⠀⣀⡾⠁⢰⣶⡿⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠇⠄⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠞⣁⣀⡤⠖⠋⢹⠇⠀⠸⢿⠁⠀⠀⠘⠛⠃⠀⠀⠀⠀⢻⠀⠀⠀⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀ ⠀⠀⢠⣿⡟⠋⠁⠀⠀⠀⠀⡟⠀⠀⠀⢈⣧⣤⣤⣤⣴⣤⣤⣀⣠⣴⡿⣦⡀⠀⠙⠿⣷⣀⠒⠒⠒⠲⢤⣄⠀⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⠀⠉⠁⠒⠒⠠⠤⠤⣼⠁⠀⠀⣠⠟⢠⡏⣿⣿⠀⠀⠉⣿⡿⡏⠀⠈⢿⣦⡀⠀⠀⠀⠉⠓⠒⠦⠤⢬⣙⣲⣄⡀⠈⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⢠⣴⠿⣤⣼⣧⣿⡟⠀⠀⢸⣿⠥⢿⣮⣤⣼⣇⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡙⠓⠒⠛⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡎⢸⣿⣤⣿⡿⣇⢹⣧⣀⣠⣿⠁⠀⠀⠻⣄⠐⣿⣤⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⣸⡿⣿⣿⣿⣿⣼⠉⢻⠟⢿⡤⠶⣶⣶⣿⡶⣿⣿⣿⠻⡆⠀⠀⠀⠀⠀⠀⠀⠘⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⡿⢳⣼⠋⣸⣿⣯⡾⠋⠀⠀⠑⠀⠿⢿⡋⠁⣹⡇⡾⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣷⣿⣹⠿⠛⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠛⣿⢁⣴⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠻⢿⣧⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢸⡏⠉⠙⠿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⣹⣿⡆⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀ ⠀⠀⠐⠤⠀⠀⠀⠀⠀⠀⢸⢸⡇⠀⠀⠀⠉⠛⣦⡀⠀⠀⠀⠀⠀⢀⣠⠤⠶⡿⣿⡏⢿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣇⠀⠀⠀⠀⠀⠀⢙⣷⣤⣶⡾⣿⡁⠀⠀⠀⢠⠏⢷⣿⠿⣿⡿⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⡀⠀⠀⠀⣹⣿⣿⣿⡿⠁⣿⡿⠀⠀⣠⠋⣠⠿⠛⢠⡿⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣶⣤⣐⣿⣿⣿⢩⣿⣤⡿⠀⠤⠞⣁⠤⠄⢀⣴⠏⠀⠀⢠⣾⡿⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣽⣿⣋⣷⣾⡏⢿⣷⡀⠀⠉⠁⣠⡴⠋⠀⠀⢀⡴⠛⠉⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠃⢀⠈⢻⣇⠙⠿⣄⠀⠀⢀⣠⣾⣋⣀⣠⡤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠈⢳⢶⣿⣷⣄⠈⠒⠒⣩⡿⠶⡟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠁⠀⠀⠀⠀⠀⢸⠀⡇⠙⢿⣷⣤⠞⠁⠀⢸⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠓⢦⣽⡄⠀ ⠉⠉⠑⠒⠢⢄⡀⠀⢠⠿⢿⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠈⠛⠋⠀⠀⠀⢸⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠈⠙⢷⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⢯⠀⠈⢧⡀⠀⠀⠀⠀⠀⠸⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⣀⠋⠀⠀⠀⠀⠀⠀⠈⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⠤⠤⠤⠤⠶⠶⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⠶⠾⠛⠛⠛⠋⠉⠋⢉⣥⣄⣀⣀⣀⣀⣀⣀⣀⣻⣛⣿⢿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⡴⠶⠞⠛⠛⠛⢉⣉⣁⣀⣤⣤⣤⣶⣶⣶⠶⢾⡿⠿⠿⠛⠛⣿⣿⢻⡏⠉⠙⠛⠛⠛⠿⠿⣿⣿⣷⣿⣧⣷⡀⠀⠀⠀ ⠀⠀⣴⣿⣯⣿⣷⡶⢶⡿⠿⠛⢻⠛⠋⠉⢹⣿⣿⣯⣧⣿⠀⢼⠁⠀⠀⠀⠘⡗⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠉⠛⡟⠛⠻⣿ ⠀⣸⣿⠋⠀⣽⠀⠀⢰⡇⠀⠀⢸⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⣿⠀⠀⠀⠀⠀⣿⣇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢳⠀⢸⣿ ⠀⣿⣿⠀⠀⣿⠀⠀⣸⡁⠀⢀⣾⣀⣀⣀⣼⣿⣿⣿⣿⣟⣀⣿⣀⣠⣤⣤⣤⣿⢿⣿⣦⣤⣤⣤⣤⣤⣤⣄⣀⣿⣆⣀⣀⣀⠘⡄⣼⣿ ⠀⡿⠛⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡍⠋⠛⣿⣿⣿⣿⣿⠻⠿⠟⣻⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⠋⠹ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⢿⠀⠀⢸⡏⠀⠀⠀⠀⢹⡧⠀⠀⠀⠀⢬⣿⠛⣿⠀⠀ ⠀⣇⣀⣀⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⢹⣿⢽⣿⠀⠀⠀⣏⣉⣉⣁⡾⠀⠀⢸⣇⠀⠀⠀⠀⣸⣿⡏⠉⠉⠉⣿⣿⡀⡸⠀⠀ ⡾⡏⠉⠉⠉⣹⠛⣩⣿⣛⠿⢿⣿⡟⠒⠶⢿⡇⢸⣿⢻⣿⡶⠋⠛⠛⠛⣧⠀⠀⢀⣤⣤⣿⣟⣿⣿⣿⣿⣿⡟⠛⠛⠛⣻⣿⣿⣷⣤⣀ ⠀⠻⢦⣀⣠⣿⣾⣯⣿⣿⣦⣸⡏⠁⠀⠀⢸⡇⠈⢻⠀⣿⠃⢀⡴⣿⡛⢿⣧⠀⢸⣉⣿⣿⣿⣿⣾⣿⣿⡟⠳⣤⣤⣶⣿⣿⣿⣿⡟⢻ ⠀⠀⠀⠀⠀⢸⣿⠟⣿⣟⠛⣿⣿⣦⡤⢤⣾⣷⣶⣦⣤⠹⣆⣼⣿⣿⣿⣿⣿⡀⠀⠰⣶⣟⣿⣿⣿⣿⣿⡿⠖⠛⢟⠛⣿⣿⣿⣿⠀⠐ ⠀⠀⠀⠀⠀⠈⢿⢷⡿⢻⢀⣿⣹⠏⠉⠉⠉⢻⣟⣛⣿⣶⣿⡿⣿⣿⣿⣿⡏⡏⢹⣟⣟⣛⡟⠛⢿⣉⣉⣻⣿⢛⡏⣿⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⠴⠷⠾⠿⠋⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⢿⠸⣿⣫⡿⢠⠃⣸⠋⠉⠙⠻⠶⢿⠻⣿⣿⠟⣾⣷⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⣌⣉⣠⣎⡴⠋⠀⠀⠀⠀⠀⠀⠑⠲⠶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢡⠋⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⣍⡛⡿⠛⠋⠉⠀⠙⠧⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡷⠊⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠎⠀⠀⠀⢀⡀⠀⠀⠀⣴⡄⢹⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⠀⠀⠀⠙⡃⡀⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⡄⠀⠤⢀⡖⠖⠀⠀⢀⡀⠀⠀⢺⣿⣿⣿⣿ ⣿⣿⡿⠋⠀⠀⠀⢠⣿⣿⣿⣿⣿⡷⠀⢈⠕⠀⠀⠀⠈⠁⠀⠀⣠⣿⣿⣿⣿⣿ ⣿⡻⠁⠀⢀⣰⢾⣿⣿⣿⡿⣿⡟⠀⠀⠀⠀⠀⠄⠠⠤⠖⣿⡟⠿⢿⣿⣿⣿⣿ ⠁⡇⠀⠀⡽⠁⠈⠈⠀⡩⠊⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⣽ ⠀⡇⠀⠠⣿⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠂⢱⠀⠀⠀⠀⢠⣿ ⠀⢇⠀⠀⢧⠀⠀⣸⠀⠀⠀⠀⠀⢂⠀⠀⠈⢆⠀⠀⡀⢰⠀⠀⠆⠀⠀⠀⣾⣿ ⠀⠘⡄⠀⠘⣄⠀⢿⠀⠀⠀⠈⠐⡤⢆⠀⠀⠀⠑⢄⠀⡶⡄⠀⠈⣄⣀⡰⠿⠿ ⠀⠀⠈⢤⠀⠈⠢⣸⠡⠀⠀⠀⠀⠐⠀⣑⣄⡀⠀⠀⠙⠚⠻⣀⡀⠙⡆⠀⠀⠀ ⠀⠀⠀⠠⡵⢄⠀⠈⣄⠀⠤⠤⠐⠚⠫⢄⣀⡉⠐⠦⣀⠀⠑⣱⣧⣴⡧⠶⠶⠊ ⣀⣀⣠⣤⣼⣋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣦⡤⠴⠛⠛⠉⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣄⠀⠀⠀⢀⣀⣤⠶
⠀⠀⠀⠒⠶⠒⠚⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠒⠚⠻⠿⣷⣶⡦⣤⡀⠀⠀⠀⠀⠀⠀⢸⣴⣿⡀⣠⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⣀⣴⠃ ⣤⣀⣀⣀⣀⣈⠉⠓⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡙⢦⡀⠀⠀⠀⠀⢘⣿⣿⡇⢹⠀⢀⠖⠀⡇⠀⠀⠀⠀⠀⣀⣼⠇⠀ ⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⠟⠛⠒⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⢻⡆⠀⠀⢀⣾⣏⣿⡇⣿⠀⣸⣧⢸⡿⠂⠀⠀⣰⣿⣿⣿⡇⠀ ⢲⡰⣤⣠⣆⣀⣀⠈⠻⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⣤⣀⣀⠀⠀⠀⢻⡄⢿⠀⣴⠟⣿⣿⠏⣸⡟⢠⠏⢿⣶⠃⠀⠀⢰⣿⣿⣿⣏⣤⣾ ⠀⢻⣌⠛⣿⣿⣿⣿⣷⣮⣿⣿⣿⣏⠛⠒⢀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⢀⡀⣀⣀⣀⣀⣀⣀⣀⣉⠛⢳⣦⣌⣿⣘⣿⡁⣸⣿⡏⢠⣟⢃⡞⠀⣼⡏⠀⠀⣴⣿⣿⡿⣹⣿⣿⣿ ⣤⡴⠛⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⣍⠉⠁⠈⠉⠁⠀⠀⣈⣤⠶⠚⠛⠛⠉⠉⠉⢉⣭⠿⠛⠉⠉⠉⠉⠉⠛⠿⣯⣀⣾⣽⠟⠀⠀⣿⢹⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿ ⣥⣀⣀⣠⣤⣀⡀⠀⠀⠀⠉⠙⠶⣆⡠⠽⠶⣄⡈⢷⣦⣀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢀⣠⠴⠚⠉⠀⠀⢀⣀⣀⣤⣄⣀⠀⠀⠈⠻⣎⠉⠀⢀⣼⣷⡏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⣵⣦⠙⣿⢿⣷⣦⣄⡀⠀⠈⠙⠛⣛⣿⣿⡿⠿⠮⣍⣁⠐⠂⠀⠀⠐⠒⠋⢉⣀⣀⣤⣶⣶⣿⣿⣿⠟⠻⣿⡿⢿⣦⡀⠀⠙⢇⣠⢾⡿⠘⡗⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠸⣿⣿⠀⣿⣦⡹⣿⣿⣿⣷⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⣿⣿⠿⠿⠿⠟⠛⠛⠛⢷⣿⡿⠁⠀⠀⠈⢿⣜⣿⣷⡀⠀⠸⣧⡾⣡⢰⡷⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣄⠙⠋⡀⠙⠻⣿⣿⣿⡿⠟⠁⢀⣠⣤⣶⣿⣿⣿⣿⣶⣶⡒⠒⠊⠉⠁⢐⣶⣤⣤⡀⠀⠀⠀⠹⡇⠀⠀⣠⣴⣾⣿⣿⡹⡇⠀⢰⣟⣿⡁⣿⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⢳⢀⢷⣞⠉⠛⠛⣋⣡⣴⣶⣿⣿⡟⠛⢉⣾⣿⣿⣿⣿⢙⠳⣶⣶⣿⠟⢉⣹⣿⣿⣦⠀⠀⠀⢹⠀⠀⣿⣿⣿⣿⣿⠇⠁⢀⣾⡿⣫⠀⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣀⣤⣈⠀⢯⣉⣹⡛⠻⠿⣿⣿⣯⣸⡇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣾⣿⣿⣿⣿⠀⠀⢠⣿⣄⠀⠙⠿⠿⠛⠋⠀⣠⣿⣿⣾⡷⠾⣄⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⡉⠀⠀⠉⠳⠆⠀⠈⠙⠷⢶⣤⣀⣉⣻⣿⣦⣀⢙⡿⣿⠿⣻⣿⣿⣿⣿⡄⠀⠙⠿⠿⠟⠁⠀⣠⣿⣿⣿⣿⣶⣶⣶⣶⣶⡟⢹⣿⡿⡿⢀⡄⢸⡆⠀⣈⠙⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣄⡳⣤⣀⠀⠀⠈⠙⠛⠋⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣦⣠⣤⣾⣿⣿⣿⣿⣿⡿⢛⣉⡾⠟⠑⢻⣿⣿⢀⣾⠇⢸⡇⠀⠀⣥⡾⣿⣿⣿⣿⣿⣿ ⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣴⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣋⣠⣤⣴⠏⢹⠇⣸⣿⡄⡼⠀⠀⠀⢹⣀⣿⣿⣿⣿⣿⡏ ⣀⣠⣤⣤⣤⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⡟⣿⣿⣿⠃⣠⡞⢰⠟⡛⣿⣧⣀⠀⠐⡿⢸⣿⣿⣿⣿⣿⡷ ⠉⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣻⠾⠿⣋⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣬⣿⣶⣾⣥⡾⠇⣶⢻⢲⣿⣇⣿⣿⡇⢻⢀⡀⠀⠀⠈⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⠷⠾⣿⣻⢿⣷⣿⣿⡿⠛⠋⠃⠀⣿⡞⢸⣿⣿⣿⣿⠃⣸⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿ ⠀⣀⣀⣀⣀⣀⣠⣄⠀⠀⠹⢿⣿⢿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣘⣄⣠⣿⣿⡟⣿⠃⠈⣷⡌⠙⠿⣿⣿⣿⠃⠀⠀⠀⠀⡏⠀⣾⣿⣿⣿⠋⣰⣿⣿⣻⣄⠀⠀⠀⢿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣦⣼⣿⣬⣿⣿⡿⠛⠉⢡⣶⣿⣿⣿⡈⠉⠉⠉⠻⣿⡄⣿⠿⠀⠀⠻⡄⠀⠈⠋⠁⠀⠀⠀⠀⢸⠀⢰⣿⣷⡿⢃⣼⠋⣿⣿⣿⣿⣦⣀⠀⠈⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⢿⣟⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣾⣿⡟⢀⣾⠛⣾⢿⣟⢿⣿⣿⣎⠉⠛⠾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⣦⡀⢀⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡟⢀⣿⠃⢠⡏⢸⣿⠸⣿⣿⣿⡉⣻⣷⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⢠⣼⣟⣿⣥⣤⣀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠁⣾⠃⠀⣾⢸⡿⣿⡃⣿⣿⣿⣿⣿⠟⠁⠹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠘⣅⣉⣉⣁⣉⣹⠇⠀⠀⢀⣴⣿⣿⣿⣿⡏⢸⡟⠀⣼⡇⣼⣇⣿⣷⣿⣿⣿⣿⠋⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠈⠻⣿⡿⠟⠁⠀⢀⣴⣿⣿⡿⣿⡟⣿⡇⣿⡇⢸⠉⢻⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣉⣀⣀⣠⣶⣿⣿⣿⣿⠁⣿⡇⣿⣷⢿⡇⠸⣦⣧⡇⣿⣿⣿⣿⣿⣿⡧⡤⢄⣀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⢿⣿⡟⣷⠀⠙⠉⣿⣿⡿⣿⡋⠀⢿⣷⣆⣾⣇⡉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⡆⢹⣿⣟⢿⣿⣾⣷⣄⢀⣿⡟⠀⢙⣿⣷⣿⣿⣿⣿⣿⣦ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠻⣿⡻⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⡌⢻⣿⡿⣿⣿⡇⠀⢸⣿⡇⠻⣿⣿⣿⣿⠙⠿⣶⣿⣿⣿⣭⣍⡉⠉⠛⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣋⣉⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⣶⣄⡈⠉⠙⠛⠛⣿⣿⣿⣿⣮⣧⠈⣿⣷⠸⣿⣷⡔⢸⣿⡇⠀⠈⢻⡿⣿⣶⡷⠋⠉⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⠿⠛⣋⣉⣭⣶⣶⣿⣿⣿⣍⠛⠶⣍⠙⠳⢶⣦⡀⠀⠀⠀⠀⠀⠺⢿⣿⣶⣶⣤⡐⠻⣿⣿⣿⣯⣻⣆⣽⣿⠀⣿⣿⣿⣸⣿⣧⢀⣴⣿⣿⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡈⢷⣄⢠⣝⠻⢧⡀⠀⠀⠀⠀⠀⢉⠙⢿⡈⠻⣧⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣹⣏⣋⣉⣛⣉⣉⣹⣹⣿⣿⣿⣿⣿⣦⣿⣦⡙⣷⣀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠻⣆⢻⣿⣿⠟⠻⣿⠟⠛⠛⠛⠁⠀⠀⠉⠙⠛⠛⠉⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⢀⣠⣤⣤⣴⣾⣿⢿⣷⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⠟⣿⣿⢋⣁⣀⣀⣀⣙⣿⣿⠻⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⢸⣿⣧⣶⣿⣿⠿⠿⣿⣿⠿⠿⢿⣿⣷⣬⣿⣷⠀⠀⠀ ⠀⠀⠀⢸⣿⣟⠉⢻⣿⣄⣤⣿⣿⣤⣄⣿⡿⠉⢻⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣶⣿⠿⠟⠛⠛⠛⠛⠛⠿⣿⣶⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⡀⠀⠀ ⠀⢀⣾⡿⠃⢀⣴⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡀⠈⢻⣷⡄⠀ ⠀⣾⣿⠁⢀⣾⡿⠻⣿⣶⣶⣿⣿⣷⣶⣿⡟⢻⣿⡄⠀⢿⣿⡀ ⢸⣿⡇⠀⣾⣿⠁⢀⣿⡿⣿⣦⣴⣿⠟⠉⠀⠀⢿⣿⠀⠸⣿⡇ ⢸⣿⡇⠀⣿⣿⠀⢸⣿⡇⠈⠻⡿⠁⠀⠀⠀⠀⣸⣿⠀⢀⣿⡇ ⠘⣿⣇⠀⢹⣿⣆⠀⠻⣿⣦⣤⣠⣴⣦⡀⠀⢠⣿⡟⠀⢸⣿⠇ ⠀⠹⣿⣆⠀⠻⣿⠆⠀⠈⠙⠛⠛⠛⠁⠀⠰⣿⠟⠀⢠⣿⡟⠀ ⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣴⣿⠟⠀⠀ ⠀⠀⠀⠈⠻⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣷⣶⣶⣾⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⣤⣕⣣⠡⣾⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠠⣮⣽⡿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⣿⣿⠟⠉⠉⠉⠉⠛⣦⢟⣻⣏⡨⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⠃⠀⠀⠀⡠⠺⢫⠉⠢⡙⡇⠀⢠⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⢠⣠⡔⠀⣣⣼⣷⣤⡐⡀⢰⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠶⢾⣧⠧⡔⠁⢰⣿⣿⣿⣿⣷⠱⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠿⢆⠡⡀⢸⣿⣿⣿⣿⣿⡇⣿⣿⡿⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢂⠑⡀⠳⢤⣤⣤⣥⠃⠱⢮⣤⠞⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠐⢄⣈⠏⠀⠀⢰⠀⠁⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠉⠉⢹⠉⣑⡒⠤⡇⠀⠀⠀⠀⠀⠀⢀ ⠤⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⡠⠔⠊⠉⠀⠀⠀⠁⠀⠀⢀⣠⡴⠖⠋ ⠂⠤⠤⢀⣈⡉⠉⠒⠒⠲⠶⠗⣢⣴⡿⡏⠉⠉⠉⠉⠉⣩⣯⠽⠛⢉⣁⣰⣶⠀ ⠘⠉⠯⠶⠒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠭⠍⠒⠒⠖⠛⠉⠀⣤⣘⣏⠹⠇⠋⠀
⠀⢀⣀⣠⡤⠦⡴⠛⠒⠲⠴⠢⢤⣤⣶⢢⣤⡀⠀ ⠀⠸⣍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⠀⠀⠈⠲⣀⠀⡀⠀⠀⡄⠀⠀⡐⡀⢀⡠⠊⠁⠀ ⠀⠀⠀⠀⠈⠑⢮⣮⣦⣇⣴⣴⣮⡖⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠴⠚⡟⠀⠀⠉⠉⠉⠓⢄⠀⠀⠀⠀ ⠀⠀⢠⡞⠁⠀⢸⠀⠀⠀⠀⡠⠞⡉⠭⠻⣄⠀⠀ ⠀⢰⠃⢧⠀⠀⠘⡆⠀⢀⠞⡔⠁⠀⠀⠀⠘⣆⠀ ⢀⡏⠀⠈⠳⣄⠀⠹⡄⣸⡎⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⢄⡀⠀⠀⠈⠙⠒⣺⣿⡶⣒⠒⠲⢤⡀⠀⢸⠇ ⠘⡄⠉⠐⠒⠒⠒⠉⢿⠃⢳⠈⢢⡀⠀⠙⢦⣸⠀ ⠀⢳⠀⠀⠀⠀⣠⣾⠃⠀⠸⠀⠀⢳⠀⠀⢠⠇⠀ ⠀⠀⠳⣆⣀⡾⠊⠁⠀⠀⢸⠀⠀⠘⡆⣠⠏⠀⠀ ⠀⠀⠀⠈⠢⢄⡀⠀⠀⢠⡏⠀⢀⣸⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⣠⠜⠛⠙⠩⠛⢳⠸⡫⣟⠢⣄⠀⠀⠀ ⠀⢀⡔⠉⠀⢀⠂⠠⠁⠀⠸⠀⠡⠁⠀⠀⠑⡄⠀ ⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠘⣆ ⠘⠧⢤⠀⠀⢀⣀⡀⠀⠀⣀⠀⠀⡀⢀⣴⠖⠊⠉ ⠀⠀⠀⠑⠚⠛⠠⠽⠦⠈⠁⠉⠋⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⠏⠻⣯⡙⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⡏⠀⠀⠈⢷⡀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣧⠀⠀⠀⢸⡇⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡘⣦⠀⠀⣸⣧⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⡶⢿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠰⠷⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣏⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣰⠄⢀⠀⢻⣇⢤⣶⠶⠶⢦⣤⣿⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⢀⣾⠀⠈⢻⣦⡙⠻⣦⣀⠈⠻⣦⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⣠⡾⠃⠀⠀⠀⠉⠻⠷⣶⣽⣷⣶⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣯⣤⣤⠾⠻⢦⣤⣀⣀⣀⣀⣀⣠⣤⡤⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⣿⣿⣶⡄⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠇⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣇⢀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣿⣿⣿⣿⣿⣿⣿⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠘⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⡉⠙⢿⣿⣿⣿⡇ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢿⣿⡟⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠈⠙⠛⠙⢿⣿⣿⣿⠃⠀⠀⢸⡟⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠈⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣾⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀ ⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠠⠿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠿⠟⠿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠿⢿⣋⣙⡛⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠟⣵⣻⠤⠿⣭⣗⢮⣕⢌⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⡷⠋⠀⠀⠀⠀⠉⠻⣝⣦⣳⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠰⡹⣿⠀⠀⠀⠀⠀⣀⣠⠤⢼⡎⡮⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠘⢼⣷⢠⠴⣚⣳⠈⣰⣴⣶⣷⣿⢻⡔⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢰⣹⣿⡅⢿⣿⠟⠀⢤⣉⡉⠀⠘⢿⢻⡜⣿⡻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡁⢸⣿⣿⡇⠀⠀⡾⠶⠶⣞⠋⢄⠄⠈⣿⣣⢹⡇⣳⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⡀⠀⠧⢶⣿⣽⡿⠁⠀⣸⣷⡿⢸⣿⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⢯⣏⣿⣿⣷⣤⡀⠀⠙⠛⠀⠀⣴⣿⣿⡇⣸⣿⡎⠢⡀⠀⠀⠀ ⠀⠀⠀⠸⣾⣿⣿⣿⣿⣿⣿⠛⠶⠾⣶⣿⣿⣿⣿⣧⣿⣿⣷⠈⡻⡄⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⢹⣿⣿⣿⡏⢻⢸⠓⣿⣼⠀⠀ ⠀⢈⣴⣽⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣀⠤⢿⣿⣿⣿⣸⢿⡞⢻⠸⣳⣦ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⢾⣇⣸⣾⣿⣿ ⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠂⠀⣀⣠⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣤⣶⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣀⣀⣀⠀⠀⠀⠀⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣴⣶⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⠸⣿⣿⣿⣿⣿⣿⠚⠻⣿⣿⣿⣿⣛⡛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣏⣴⡾⣿⣿⣿⣿⣿⢹⡆⣀⣽⣿⣿⣿⡿⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢩⣛⣋⡁⠀⣿⣿⣿⣿⣿⣿⣯⣴⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠻⣿⣧⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣻⣿⣿⣾⠇⡟⠙⣿⡏⠉⠉⠉⣰⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣥⣀⠀⠁⠀⠋⡁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠿⣿⡛⠉⠉⠀⠀⠀⠀⠀⡜⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⢦⡀⠙⠀⠀⠀⠀⠀⠀⢀⣠⡤⢀⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⠛⢦⣀⠀⠀⠀⠴⠚⠋⠉⢀⣞⣤⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢣⠀⠈⢣⠉⠲⢤⡀⠀⠀⣀⣾⠾⡏⡽⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡠⠃⠀⢣⡀⠀⠻⣅⣀⠈⠉⠉⠁⡎⢰⣰⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠊⠀⠀⠀⠀⠙⢄⠀⠀⠙⠦⣀⢀⣰⠧⢾⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠈⠉⠀⠀⡟⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⡸⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⣀⡀⠀⢀⠀⠀⠀⠀⢀⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀ ⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⠀⠀⠀⠉⠙⠛⢀⡀⣀⠌⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠈⠀⠉⠁⠂⣈⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣤⣤⡄⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠒⠒⠒⠒⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⡛⢉⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢟⣼⣿⣿⣏⢪⣾⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣟⢿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇⣿⣦⠙⠛⣿⣿⣼⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⣿⣇⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣰⣿⣿⣿⣿⣿⣿⣿⣿⠧⠤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡠⠤⠤⠈⠭⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡳⠚⠉⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠸⣿⣿⣿⡇⠹⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠠⢶⠴⠶⣶⣶⣶⢶⠶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠃⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⡀⢀⣀⡀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⡟⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣏⣈⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣤⡙⠾⣿⣿⣿⣿⣿⠀⠀⢀⡤⣖⣿⣾⣿⠿⣶⣤⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢭⣽⣿⣿⣿⣿⣿⣿⢾⣿⣿⣹⣿⡿⣦⠘⠛⢿⣿⣿⠀⠀⠀⢠⣿⣩⣿⣿⣷⡀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠟⣿⣿⣿⣿⣿⣿⡈⠉⢻⣿⣿⣧⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⢿⣿⣿⡿⣿⠇⢀⠟⠸⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣌⢻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠻⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠷⠏⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⠟⢹⣿⣿⣿⣿⣿⣿⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⡿⠋⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⣄⣨⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠀⢀⡞⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣭⠄⢤⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⣠⡴⠯⠤⠶⠶⣶⣿⣿⣿⣿⣿⣿⣿⣷⡄⣄ ⢀⠀⠀⠀⠀⠀⠀⡀⣧⣤⣦⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⢻⡇⣷ ⠀⣀⡀⠰⡶⠀⠀⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⡴⣣⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⠀⡙⢺⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣴⢀⠄⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿ ⠘⣷⡖⣿⡟⢛⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣾⣿⣦⣀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠋⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⡀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿ ⢠⣿⠇⣿⣿⠘⣼⣿⣿⣿⣿⣿⣿⠟⢛⣛⠉⢉⢽⠉⠻⣴⣿⣿⣿⣿⡝⣷⣖⠒⣶⠚⠋⠉⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣩⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣿ ⠶⠁⠀⣿⡧⣴⣿⣿⣿⣿⣿⡟⡵⠚⠉⢩⣷⠋⠈⣴⢠⡞⠙⢿⣿⣿⣷⣮⣿⣿⠋⣧⠀⠀⠀⠀⣠⠞⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣈⣄⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⣿ ⠀⠀⠀⣿⡇⠹⣿⣿⣿⣿⡟⡽⠉⠁⠀⢎⡿⠐⠶⣷⡏⠀⠀⣠⣿⣿⣿⣿⣿⡏⠀⠸⣆⢀⣠⠞⠁⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿ ⠀⠀⠀⣹⡇⠀⠀⠉⣙⣿⣥⡴⠖⠰⣠⠏⠀⠀⠀⠀⠉⠓⣰⣿⣿⣿⣿⣿⣿⠃⠀⢠⣾⣯⣅⡀⠀⠀⠈⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣽⣷⣤⠶⠾⠋⠁⣻⠧⣴⡿⠿⣟⡢⣄⡀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⢀⣴⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⣾⠟⠋⠀⠀⠀⢀⣴⣿⣾⣿⠁⠀⣄⠙⠒⢫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠁⠀⠀⠀⢀⡤⢶⣿⣿⠁⢀⣿⡇⠀⣌⡑⠒⢺⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠏⢾⣿⣿⡿⣧⠙⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢰⣏⣀⣀⣤⠤⢤⣈⣉⠁⣸⢸⢱⢦⡏⣹⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣼⣿⠀⢸⣿⢿⣿⣿⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣾⠻⢦⣄⣀⢀⣦⡬⣿⣽⡉⠃⠾⡼⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣴⠃⠀⠀⠙⠻⢿⣝⣧⡀⠙⣿⣿⣼⣤⣾⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡇⠳⢸⣿⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⣠⡟⠡⣿⣿⡿⡏⠀⠸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣀⡴⣟⣤⣽⣿⣿⣛⡀⠀⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣽⣷⡿⠿⠛⠉⠻⣿⣿⣆⠉⢻⣿⣏⠂⣤⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡥⣤⣤⣤⣤⡴⣶⣜⣿⣿⣧⡀⢻⣿⣮⢻⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣽⣿⣿⣿⡷⣽⣿⣿⣿⣿⣿⣟⠵⣻⣿⣆⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡿⢡⡻⠟⡟⠀⠑⢟⠿⣿⣿⣿⣿⣿⣯⣿⠟⠶⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠉⠀⡀⠑⠀⠳⠑⠄⠀⠀⠀⠉⠁⢸⡏⠁⠀⠑⠵⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⢰⠀⢸⣍⣒⣒⣀⣤⠀⠀⠀⡼⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡟⣁⣤⡶⡚⡀⠸⣛⣋⡉⠭⠋⠀⠀⠊⠉⣴⠁⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠔⠊⠀⠀⠀⠈⠘⠂⣃⠀⠀⠀⠀⠀⣀⣤⢦⣶⣿⣿⡾⢿⡧⣰⣀ ⠉⠉⠉⠁⠉⠀⠀⠀⢀⠄⠀⠀⠀⠈⠊⠘⠚⢺⣹⣿⣳⣿⣿⡽⠛⢀⠠⢃⣥⣾ ⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣻⡿⠙⢀⠔⣡⣾⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢉⣾⢷⣆⠔⣡⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠘⠠⠀⠀⠀⠀⢀⣠⣾⣿⣿⡏⣾⣿⢏⡢⣪⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⠱⡜⠠⠎⣴⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠇⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⣀⣀⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠉⠁⠀⠀⠀⠀⠉⠙⠻⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣟⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠁⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠃⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠲⠿⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⢹⡆⠀⠀⠀⠀⠀⠀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⢀⠀⢿⠀⠀⠀⠀⠀⠸⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢨⠄⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠟⡄⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣲⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠉⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠄⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠈⢿⡅⢠⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⢾⣿⡟⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⣴⠯⣤⠀⢠⠀⠀⠀⠀⠀⢸⣦⠀⠌⢷⡀⠀⠀⠀⠀⠀⠀⠈⣿⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠈⠉⠀⠀⠀⢀⣯⡤⢤⡀⠀⠀⠀⣰⠋⠐⣿⣧⣼⣗⢦⣧⣤⢠⣿⡿⠀⠄⢨⣷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡀⠀⠀⠀⠀⡀ ⠀⠀⠀⢀⡴⠛⠁⠀⢸⡇⠀⠀⠀⡏⠀⠀⠉⠃⠀⠻⡟⠛⠁⠀⠉⠁⠀⠀⢸⣿⣇⠀⠀⠀⣶⡟⠉⠻⢿⣿⣿⣿⡇⠀⠀⠀⣿⡿ ⠀⠀⣰⠋⠀⠀⣠⡴⠟⠅⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⣿⠀⠀⠀⠋⣧⡀⠀⠀⠙⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠿⠶⠖⠋⢿⠀⠀⠀⠀⠀⠀⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢧⡟⠀⠀⠀⠀⠈⠛⢦⣄⡀⠈⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⣧⠀⠀⠀⠀⠀⢹⣦⢸⣤⣄⣄⡄⠄⠤⣤⣤⣤⣄⠙⢻⣻⡿⠁⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠛⢿⡈⠉⣻⣿⠶⢾⠿⢿⣿⣿⢰⣼⡟⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠈⠙⠓⠶⣤⣤⣤⣤⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣤⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠿⠟⠀⠀⠀⠀⠀⠀⠈⠙⡷⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⢉⡟⠛⠒⠲⠦⠴⠶⢾⡛⠛⠁⢹⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⣾⣿⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⡾⠃⠀⠀⠀⠀⠀⠀⠀⢧⡀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⣤⡴⠞⠙⠻⢍⡉⠉⢻⣶⣤⣀⣀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⠟⠉⠀⣈⡃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣿⣿⣿⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠋⣩⠟⣋⠿⠚⠁⠀⠀⡞⠀⡀⠀⠀⠉⡀⠀⠀⠀⡈⠳⣄⠀⠈⡉⠛⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢻⠟⠁⢠⠆⡰⠀⢸⡏⠀⢧⠀⠀⡆⠉⢦⡀⠀⠀⠀⠀⠙⢦⡉⠲⣄⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⢃⡔⡰⢁⠈⢀⠀⣸⣇⠀⢸⡄⠀⠘⣆⠀⢳⡀⠀⠈⢦⠀⠀⢿⣄⠈⢻⡓⢮⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡄⠀⠀⠀⠀⠀⢀⣿⠛⣿⠁⣼⠄⢸⢀⣿⣿⣆⢸⡿⣧⠀⠸⣆⠈⡟⢦⣀⠈⣧⠀⠀⢻⣶⣄⢳⣌⢿⣗⠀⠀⠀⠀⠀⠀⠀⠀ ⣆⠀⠀⠙⡄⠀⠀⠀⠀⠸⠇⠘⡇⣸⣿⠀⣾⣼⠦⠿⣿⣶⣇⠙⣷⡀⢿⣆⣇⣠⣽⣷⣿⠷⣄⠈⢿⣟⠳⣿⠘⡎⠆⠀⠀⠀⠀⠀⠀⠀ ⠈⢣⡀⠀⠘⡄⢃⠀⠀⠀⠀⣰⣿⡟⣇⠀⣿⡿⣠⡴⢻⣿⣿⠋⠉⠳⣼⡟⠋⣿⣿⡟⣿⠆⢹⣧⣸⡟⠀⠸⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠙⣄⠀⢱⢸⡄⠀⠀⢀⡟⢉⡇⠹⣴⣿⣧⠀⠁⠀⠁⠀⠀⣼⠀⠈⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⡄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⡀⠈⣳⡄⠋⠀⠀⠀⠘⠀⢸⠀⡇⢻⣿⠾⡅⠀⠀⠀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⣿⠉⣽⡇⠀⢇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠙⢿⣾⡟⢀⣤⡄⠀⠀⠀⠀⡇⠈⡁⡆⠘⣦⣵⡀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⠀⣴⣾⣥⢾⡿⣷⠀⠸⡀⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣆⠈⣿⢣⠸⡀⢱⠀⠀⠀⢰⠁⠀⡇⣹⠀⣿⠁⢿⣦⡀⠀⠀⠹⣿⣿⡇⠀⠀⠀⣴⠋⣸⡇⢸⠀⣿⠀⠀⢷⠘⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⡿⠉⠻⢧⡇⢸⡇⠀⠀⡞⠀⠀⡇⣿⡇⣿⠀⣼⡇⡟⠢⡀⠀⠙⠋⠀⠀⣠⡞⠁⢸⣹⠃⢸⡀⢸⡆⠀⠘⣇⠹⡀⠀⠀⠀⠀⠀⠀ ⠀⣰⢁⣸⠖⢤⢹⡄⢧⠀⢠⠇⠀⠀⠃⡿⠃⢸⠀⣿⠀⣿⠀⢹⡷⣤⣤⣴⣛⣁⡇⢀⠇⣾⠀⢸⡇⠀⢷⠀⠀⠘⡄⢃⠀⠀⠀⠀⠀⠀ ⢀⡞⠋⠀⣰⡀⢻⠀⠈⣇⣼⡏⠀⠀⢸⡇⠀⠸⣄⡿⠀⢹⣇⢈⡟⠛⠛⠛⠛⠛⠳⣼⣰⠿⢦⣼⣧⡤⠼⣦⣀⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⠸⡆⠀⠹⠛⢷⣸⠀⠀⣿⣿⠁⠀⠀⢸⣇⣀⣠⡿⠗⠚⣺⡿⠟⢷⠀⠀⠀⠀⠀⢶⡉⣠⣶⠖⠉⠀⠀⠀⠀⠈⠑⢦⡀⢹⡀⠀⠀⠀⠀ ⠀⠘⢆⠀⠀⠀⠙⡀⡼⣹⢻⠀⡠⠚⠁⠀⠀⢯⣤⣞⡟⠳⠤⣄⡜⠀⢀⣠⠤⠔⠊⢹⢃⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣧⠀⠀⠀⠀ ⠀⠀⢈⡗⠀⠀⠀⡼⢁⡏⣆⡜⠁⠀⠀⠀⠀⠀⢸⢹⠇⠀⠀⠈⠒⠐⠋⠁⠀⠀⠀⡞⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀ ⠀⢀⡾⠁⠀⠀⡸⠁⣸⠀⡿⠀⠀⠀⠀⠀⠀⠀⡄⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢣⠏⠀⠀⠀⠀⠀⣀⣠⠄⠀⠀⠀⠀⠀⠈⠑⢄⡀ ⢀⡜⠀⠀⠀⢰⠃⠀⣇⡜⠁⠀⠀⠀⠐⣖⠀⢸⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⢸⡀⠀⠀⠀⣠⠞⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠎⠀⠀⠀⢠⠇⠀⡰⠋⠀⠀⠀⠀⠀⢀⣼⣷⡏⠀⠙⠢⡀⠀⠀⠀⠀⡠⠒⠁⠀⠀⠀⠙⢦⡀⠀⡟⠀⢀⡇⠈⢳⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡏⡠⠊⠀⠀⠀⠀⠀⢀⣠⢞⣿⠋⠀⠀⠀⠀⠘⢦⣀⡰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠃⢀⣾⠁⠀⠘⡇⠉⡲⢤⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠶⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⠀⠀⣠⡶⠖⠒⠚⠋⠁⠀⠀⠀⠈⠙⠛⠒⠒⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⣿⣋⠀⠀⠀⠀⠀⠀⠿⢯⣉⡉⠙⠓⢦⣄⠀⠀⠀⠉⠛⠶⠦⠤⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡀⠈⠛⠶⠤⠤⠶⠤⣄⡀⠈⠉⠉⠓⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣦⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⢀⣠⢤⡀⠀⠀⠀⠀⠉⠓⠶⢤⣤⣤⣤⣾⣶⣶⣦⡄⠀⠀⠀⠀⠀⠀⢰⣶⣶⣤⡀⠀⠈⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣧⠈⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢮⣭⣀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⡁⠀⠀⠀⠀⠀⠉⠙⠛⠒⠒⠲⢤⡀⠀⠀⠀ ⠀⠀⣿⡀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠲⣦⣀⠀⠀⠘⠿⣯⣉⠓⠲⠤⣀⠀⠘⠿⣭⣷⣦⡀⠀⠀⠀⠀ ⠀⠤⢧⣝⣒⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠶⠶⢦⣌⡙⠓⠒⠚⠃⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣘⡏⠑⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣤⣤⣤⣀⠀⢀⣠⡤⠔⠒⠚⠉ ⠉⠉⠉⠙⠳⢦⣄⠀⠀⣙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⠼⠛⠉⠀⠀⠀⠀⣠⠞ ⠀⠀⠀⠀⠀⠀⠈⠛⣶⡯⠏⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡵⠋⠁⠀⠀⠀⠀⠀⣠⡾⠋⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠁⠻⣆⠀⠀⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⢀⡽⠋⠀⠀⠀⠀⠀⠀⣠⣾⣿⡇⠀⢠ ⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⢼⡿⠙⣄⣀⣀⣀⠤⣴⢶⠚⠉⠉⠉⢹⣿⡏⠉⠉⠙⣓⣲⡶⢮⣀⠀⠀⠀⠀⢀⣤⡾⠿⠛⠛⠛⠉⠉ ⡽⠋⠑⠦⢄⣀⣀⠀⠀⠀⣀⣸⠆⠀⢀⣈⡉⠀⠀⠀⣻⣾⠧⠶⠒⠶⠚⠛⠲⠶⣤⣤⣹⣾⠃⠀⠈⠓⡖⠚⠻⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠓⣦⡤⠤⠤⣀⣉⢩⠿⡍⠁⠀⠀⠀⣿⡿⠇⠀⣰⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠷⡄⠰⣏⡽⠃⠀⣹⣀⣀⣀⣀⣤⣤⠖⠚ ⣼⠁⠀⠀⠀⠀⠈⠉⠛⠓⠒⠿⠟⢛⡻⣄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣴⠋⠉⠁⠉⠉⠛⠲⢿⣽⡀⠀ ⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠀⠨⡷⣄⣤⢿⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠋⠀⠀⣴⠷⣤⣄⣀⡀⠀⠀⠀⠀⠀⠉⠛ ⠀⠀⠉⠓⠒⠦⠤⠴⠒⠒⠉⠁⠀⠀⠀⠀⠈⠈⠟⢯⡀⠈⠉⠒⠢⠤⣤⠤⠤⠴⠒⠋⠹⣍⣇⣠⠞⠁⠀⠈⠙⢦⣉⣿⠗⠒⠒⠶⠤⠤ ⠀⠀⠀⠀⠀⠀⣀⡀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⣀⣸⣽⣃⣀⣀⣀⣤⡴⠚⠉⠹⡟⢢⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⢸⠋⢱⠶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⢹⣿⣿⣿⠓⣦⣄⣀⠙⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⠇⢠⡏⠀⠀⠈⣳⢄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⢹⣦⡀⠀⢻⡿⠃⣴⠟⠀⠉⠉⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⠦⣀⣀⣀⣀⠀⠈⠉⠒⠤⣤⠃⠀⠑⠄⠀⠀⠀⠀⣠⠞⠁⠀⠙⠀⠀⠀⣠⡾⠁⠙⠲⠾⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢀⡞⠀⠀⣰⠟⠀⢀⣿⡿⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⠔⠋⠀⠀⢰⣏⡤⠖⠉⠛⣇⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⣿⣿⣷⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣟⠿⠿⠯⠭⠿⠿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠿⠛⠉⡀⡤⠀⢰⠒⠀⠀⠀⢠⠀⢉⠙⠻⣿⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡯⠚⠁⠀⢦⠀⢻⣧⡀⢸⣏⠀⠀⠀⡟⠀⣸⠟⠀⠈⠙⢿⣿⣿⣷⣤⣶⣶⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⠘⢦⡀⠈⠧⠈⠃⣉⣠⣤⣤⣄⣈⡁⣰⣏⣤⣴⣶⣾⣿⣿⠿⠿⠛⣋⣩⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣳⠃⡀⠀⠀⠈⠳⢋⡠⠞⠉⣁⣀⣤⣴⣶⣿⣿⣿⠿⠿⠛⠋⠉⣥⡆⠀⠿⢿⣿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⠁⠀⠉⢓⣦⣤⣴⣿⣶⣿⣿⡿⠿⢟⠛⢋⣭⣤⣶⣧⠀⠀⠀⠀⢻⣷⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣧⣶⣶⣿⣿⡿⠿⠟⡟⠉⢡⣤⠀⢰⣿⠀⠈⣿⡏⠁⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⢸⣿⡀⠀⠀⠀⠀ ⢰⣶⣾⣿⣿⡿⠿⠛⠋⣭⡅⠀⠀⠀⢻⣷⠀⠘⣿⡆⣾⡇⠀⠀⢹⣿⣤⣶⡄⠀⠀⠀⠀⢻⣿⠀⠀⠀⣿⣇⠀⠀⠀⠀ ⠘⠛⠉⣥⡄⠀⠀⠀⠀⢻⣷⠀⠀⠀⠘⣿⡇⠀⢻⣿⣿⣇⠀⠀⠈⣿⡏⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠸⠿⠀⣀⣀⣄ ⠀⠀⠀⢻⣷⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⢹⣷⠀⠈⣿⡏⢻⣧⡀⠀⢹⣿⣤⣴⣦⠀⠀⠀⠀⣉⣡⣤⣶⣶⣿⣿⣿⠿⠟ ⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⢻⣷⠀⠀⠀⠈⣿⡆⠀⢹⣷⠀⠹⡿⠄⠈⢛⣉⣡⣤⣴⣶⣾⣿⣿⠿⢿⢿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠘⣿⣧⣤⣶⠀⠹⠿⠀⢈⣉⣤⣤⣶⣾⣿⣿⡿⢿⠟⠛⠻⢯⣀⠀⢀⣾⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠙⢋⣉⣥⣤⣶⣾⣿⣿⡿⠿⠛⠛⠉⢉⡠⠔⢁⣤⡀⠀⠀⠉⢁⣼⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣉⣡⣤⣴⣶⣾⣿⣿⠿⠿⠛⢻⡏⠩⡍⠙⠒⠒⡋⢉⢡⡄⢳⡀⠀⠳⡄⠀⣠⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⠿⠟⢿⣿⣿⣿⣄⡀⠀⣤⡏⠀⢸⠃⠀⠀⢉⡇⠀⢻⣧⠀⠳⠄⠀⣠⣾⣽⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣲⢤⣀⠀⠋⠀⠀⠀⠤⠷⠀⠘⠈⣀⡠⣴⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣾⣽⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⣿⣿⡿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⡀⡀⠤⠒⢉⠥⠐⠉⠀⠀ ⠐⠒⠒⠀⠄⠀⠀⠀⡀⠀⠀⡖⠉⠉⢉⣇⣀⣤⠘⠈⡁⠠⠒⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠂⠠⠄⠐⠛⣷⣿⣶⣿⣻⣿⣯⠤⠬⣧⣧⣤⣤⣤⣤⣤⣤⣤⣤⣄ ⢀⣀⣤⣤⠤⣒⣂⡀⠩⠥⠋⠉⢙⡓⢿⡁⣈⣁⡉⢯⣯⠉⠭⠭⠿⡍⠉⠉⠉⠉ ⠒⠊⠉⠉⠀⠀⠀⠀⢠⠴⡒⡹⠙⡿⡿⠖⠉⣤⡀⡀⢸⠈⠉⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠼⡿⠀⢘⣷⡌⣀⠸⡟⠳⢫⠿⠀⣤⣤⣀⡄⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⡤⠤⣖⣂⣸⠃⠐⠘⠃⡍⡐⢀⢸⠒⢲⡞⡿⠹⣋⣟⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣏⣝⡉⣧⡧⢋⠀⢀⣀⠘⡐⢀⠂⠨⡤⢼⣿⡉⠸⣿⠦⠃⠀⠀⠀⠀ ⠀⠀⠀⠸⡿⠦⠙⢿⠔⡏⣆⡞⡚⠉⠀⠋⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢂⣿⡿⠛⣿⣼⡗⠘⢷⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡅⠀⠻⡿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠤⢄⣀⠀⠀⠀⠀⠀⠀⢸⠀⠹⡀⠀⠀⠀⡀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣨⠀⠀⠀⠀⠀⡇⠀⠀⠀⣆⣀⣀⣵⡄⠀⠀⢣⠀⠀⠙⣆⠀⠀⠀⠀⠀⠁⠉⠀⠈⢿⠐⠒⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠏⠀⠀⢀⠀⠀⢸⡤⠖⠋⡏⠀⠀⢂⡱⡄⠀⠘⡆⠀⠀⠈⢆⠀⠀⢀⡀⠀⠀⠀⠀⠀⡆⠀⣯⠈⠁⠀⠀⠀⠀ ⠀⠀⠘⠁⠀⠀⠀⣆⣴⠚⡹⠱⡀⠀⡇⠀⠀⠀⠉⢾⣦⠀⢸⣦⠀⠀⠈⢦⠀⣸⡇⢀⠠⢄⠀⠀⡇⠀⠀⢣⠀⠀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡃⢀⡇⠐⠙⣄⢡⣀⣀⣀⡂⠀⠙⠓⢄⢣⠱⡄⠀⠈⢆⢻⢃⣵⣿⣿⣿⣿⣿⣷⣄⠈⢇⠀⠃⠀⠀ ⠀⠀⢠⠀⠀⠀⠀⢸⣇⢸⠀⠀⣠⣾⣾⣿⣿⣿⣿⡓⠀⠀⠈⠙⣧⠈⢦⡀⠘⢸⠉⣸⣿⣿⣿⣿⣿⣿⣿⣷⠘⡆⠀⠀⠀ ⠀⠀⡜⢧⠀⠀⠀⠈⣿⣘⠀⣼⠿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠈⠳⣄⠑⣄⡌⠀⣿⣿⣿⣿⣿⣿⣿⡏⢻⡇⢷⠆⠀⠀ ⠀⡼⠀⠈⢦⠀⠀⠀⠸⣿⢰⣿⢸⣿⣿⣿⣿⣿⡿⣿⡧⠀⠀⠀⠀⠀⠀⠁⠈⠃⠀⠿⢻⡿⠿⠿⢇⡿⠇⠘⠀⢸⠀⠀⠀ ⢠⠃⠀⠀⣸⠳⡀⠀⠀⠻⡎⠻⡀⠋⣉⣿⠛⠛⢛⣯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣀⣀⡾⠗⠀⠀⠀⡎⢀⣄⠀ ⠀⠀⠀⢠⠇⠰⡈⠢⣀⠀⠙⣄⠀⠀⠙⠳⠤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣠⠞⠁⠀ ⠀⠀⡴⢻⠀⠀⠙⣄⠈⠓⢤⡈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⣽⠀⠀⠰ ⠀⠞⠁⡼⠀⠀⠀⠈⠓⢄⠀⣿⠉⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢻⠀⢰⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢹⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⡸⠀⠇⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢸⢹⠀⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢸⣀⣶⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣞⠁⣀⠼⠕⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⣟⣸⡇⠀⢨⡿⢲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢲⣯⡏⡸⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡟⢁⣽⣀⡞⠀⠘⡄⢀⣽⣯⠒⠲⠤⢄⣀⣀⠤⠊⠁⠀⠘⡏⠓⢧⠠⢴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡟⠉⠟⠀⠀⣰⣷⡟⠋⢹⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠚⠁⠀⣠⣆⡰⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣇⠀⠀⢀⣴⣿⣿⠀⠀⠈⠑⠒⠒⠒⠂⠉⠉⠀⠀⢀⡴⠟⢉⡤⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠸⡄⢀⣾⣿⣿⡿⢦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣭⡶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⢸⡀⠀⠀⠀⠀⢸⠙⢦⡀⠙⣿⣿⡿⠋⠀⠀⠈⠉⠒⠒⠒⠒⣠⣾⠟⠉⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢸⠀⣇⠀⠀⠀⠀⠸⡄⠀⠉⣦⣬⣿⣇⠀⠀⠀⠀⠀⠀⢀⡴⠛⡵⠁⠀⢾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⢇⢸⣆⠀⠀⠀⠀⣇⠀⠀⣿⠟⠀⠘⡀⠀⠀⠀⢀⡴⠋⠀⠀⡇⠀⠀⠈⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⠀⢹⠀⠘⣎⡎⠣⡀⠀⠀⠸⡀⢠⡏⠘⠀⠀⠳⠄⢀⡴⠋⠀⠀⣠⡾⣿⠀⣀⠀⠀⠈⠙⠒⠒⠒⠒⠒⠊⠉⠁⠀⠀⠀ ⠀⠀⠈⣇⠀⠘⢿⠀⠟⠢⣀⠀⢱⣸⠃⠀⠀⠀⣀⡴⠋⠀⢀⣠⣾⣿⠷⠛⡦⣌⠉⠒⠒⠠⠤⠄⠀⠐⠐⢊⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⣠⠄⡀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠟⢩⣿⣥⠾⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⢇⣴⣵⠿⠁⢠⠇⠀⠀⠀⠠⠔⠒⠊⠉⠑⠂⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣴⣿⣟⡁⠀⢠⡼⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈⠀⠀⠉⠒⢤⡀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⣶⣾⣿⣿⣿⣯⡉⠉⠳⣬⡇⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠈⠠⠀⣿⡳⡰⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⣿⣿⣿⣏⠫⠀⠁⠈⣄⡈⠻⣷⠀⡎⠀⢸⣿⣿⣿⣄⣾⣿⡇⠀⡘⠀⣀⣀⡀⠀⠀⠀⠀⠀⢰⠃⠃⢣⢱⡀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⠷⠥⠀⠀⠈⠻⢷⣿⣷⠁⠀⠀⠙⠿⠿⠿⣿⠿⠃⠀⠀⢸⣿⣿⣬⣷⣤⣄⡃⢠⡧⠀⠀⠈⠀⣇⣠⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠙⢻⣇⣀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠈⠻⣿⠿⠿⠿⠛⠁⢸⢴⣿⠏⠀⢀⡿⠁⡅⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠉⢿⢦⠀⣤⢄⡀⠀⠀⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠖⠀⡠⠊⠀⠀⠃⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣏⢿⠆⠀⠀⠀⠀⠀⠀⠘⠊⢆⠈⠳⢬⣑⠒⠤⠤⢄⣀⣀⣠⣤⡄⠀⠀⣰⠟⣁⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣄⠀⠀⠈⠉⠐⠒⠂⠉⠉⠀⢀⣠⡴⠟⡋⠁⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣶⣦⣤⣤⣤⣤⣤⣴⣶⠟⢛⡟⠋⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣧⣄⣙⣦⣄⡀⠀⠀⠀⠀⢀⣿⠀⡟⠙⠛⡟⠉⣾⣿⠟⠁⢠⠋⠀⠀⠀⠀⠀⢀⡴⢋⡄⠀⠀⠀ ⣤⣶⣗⣠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠙⢦⡀⣀⣠⠾⣿⣾⠃⠀⠀⠀⣼⡿⡅⠀⡰⢃⠀⠀⢀⣠⠶⢖⡏⢠⡿⠃⠀⠀⠀ ⣽⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡉⠙⢧⣼⠿⢿⣄⣠⡴⢾⣿⡟⠁⠀⠀⣡⠴⢊⣽⠀⢀⣼⣾⡿⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠟⠀⠀⠀⠚⠀⠸⣿⠁⣀⣴⣾⣥⣶⡿⣿⣿⠟⣿⣿⠃⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠛⠋⠛⠁⠀⡀⠀⡼⠙⣿⣖⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣀⣀⣀⣠⢰⣿⣠⡁⠀⠘⣿⣆⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣿⣿⣿⡇⡄⠀⣿⣩⡴⣳⣦⠆
⠀⠀⠀⠀⣀⣀⣀⠄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣜⡻⠋⠉⠒⠉⢡⡤⠤⣙⠓⢦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣱⠋⠀⠀⠀⢠⢞⡝⠈⠰⡌⢿⣦⣈⢳⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠇⠀⠀⠀⢠⢇⡾⡇⠀⠀⠙⣾⣎⣿⣦⣫⢫⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡿⢠⡞⣠⣴⡟⢸⣸⣧⡴⠓⠘⢿⣿⣟⣺⣿⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⡇⣿⣟⣽⣵⣿⠿⡿⠆⠀⠀⠀⢺⢛⡟⢿⣿⢿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⣟⣽⣿⣷⣿⣷⣀⣷⠀⠀⠀⠀⠸⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣏⣿⡯⠄⠴⠿⢛⡍⠉⠰⠚⣿⣿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣿⣿⣿⣿⡿⣏⠀⠀⠀⠀⠔⠂⠀⣀⣴⣿⢯⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠹⣿⣿⢿⣿⢿⢛⣶⠦⢄⡠⢠⣴⣊⣉⡹⠃⠀⠙⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⡟⢲⡿⠁⠀⠀⠀⠀⠀⠀⠉⠀⠱⢄⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠁⣼⠃⠀⠀⠀⠀⠀⠀⣀⣠⣀⣴⡼⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⣗⣦⣈⡵⢦⣤⣀⡢⠶⠟⠛⢻⣿⡾⠀⠨⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡇⡠⡺⠛⠀⡜⢡⠀⠀⠀⠀⠀⢸⡿⠁⡠⠀⡇⠀⠀⠀⠀⠀⢀⠔⠃ ⠀⠀⢸⡞⣷⡇⠀⣴⢀⣌⠇⠀⠀⠀⢀⣬⣷⣤⣷⣤⣽⡄⠀⠠⢀⡼⠋⠠⠀ ⠀⠀⠈⢫⠀⠘⠾⡃⢀⣿⡜⠄⡰⢞⣭⣚⣯⢫⣙⢄⢸⠃⠚⣈⠏⠀⢠⠁⠀ ⣴⣶⣿⣿⣷⣦⣄⣴⣿⣾⣿⣿⠾⡁⠈⢩⡠⢌⣯⣽⣿⣿⡭⠅⣐⡄⠀⠀⠀ ⠉⠀⠘⠛⠛⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡷⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠛⠉⠓⠋⠑⠊⠋⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠘⡿⢿⣿⡿⣿⡿⢿⢿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⠿⠻⠀ ⠀⠀⠀⠀⣦⣄⣀⣀⣤⣾⣿⣿⣿⣿⣇⣿⣿⣿⣿⡟⣿⣦⠈⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡿⠇⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡟⣽⣿⣿⣃⣀⡀⠀⠉⠙⠓⠈⣛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⢊⣹⣿⣿⢸⣟⣿⠀⠀⠀⠀⢸⣟⣶⠉⣿⣻⢉⠙⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡄⢹⣿⣿⢀⣉⠁⠀⠀⠀⠀⠀⢩⢁⠀⣿⣿⠉⣴⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠈⠁⠀⠀⠀⠀⣠⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠓⣄⣀⠀⠀⠒⠀⢀⣠⣶⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣸⣿⣿⠿⣶⣶⡾⠿⣿⣿⣿⣿⣿⢿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣄⣿⣿⣏⠀⠀⠀⠀⢀⣻⣿⣿⣿⣿⣿⣿⣳⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣇⡿⢻⣿⣿⣿⣷⣖⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣿⣿⡿⠿⠟⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠛⠿⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠟⠻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀ ⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀⣴⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀ ⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠋⠛⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀ ⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢻⣿⡇⠀⣼⣿⣿⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀ ⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢸⣿⣧⠀⣿⣿⡟⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇ ⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣄⠀⠀⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠿⣿⣿⡇⠀⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠀⣿⣿⣧⠀⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⢻⣿⣿⠀⣿⣿⡇⠀⠀⠀⢸⣿⣿⣾⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿ ⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠙⠿⠿⠟⠁⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇ ⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃ ⠀⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠸⣿⣿⣆⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀ ⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡀⠀⠻⣿⣿⣿⣿⠇⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠁⠀ ⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⡀⠀⠈⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀ ⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣶⣤⣤⣤⣄⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣶⣦⣤⣴⣿⣿⠟⠀⠀⠀⠀⠘⣿⣿⣧⣄⣀⣤⣴⣶⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⢉⣉⣩⣭⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠿⠿⠛⠛⠓⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⢋⣠⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢧⣾⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⢀⣴⣾⠻⣾⡀⠀⣀⣤⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢤⣀⡠⢄⡲⠋⢈⣹⣦⣽⣿⡿⠃⠀⢢⡙⡵⡀⠀⠀⠀ ⠀⠀⠀⢴⠗⣩⣤⣬⣭⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠁⢡⣣⠀⠀⠀ ⠀⠀⠘⠛⢁⣀⠀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣿⡷⣀⠀⠀⠀⢣⢆⠀⠀ ⠀⣠⢪⡡⡔⡌⡧⡀⠀⠀⢻⣿⣿⠋⠁⠻⣿⣧⢈⢧⠀⠀⠀⡾⡀⠀ ⢀⠛⣦⣑⡡⠝⠋⠀⠀⠀⠈⢿⡗⢦⣄⠀⢹⣿⣿⣾⣷⢦⡀⢱⠘⡄ ⡜⠘⠛⠱⡀⠀⠀⡀⢀⢔⡭⠿⠿⢿⡶⢴⣿⠿⠋⠻⢾⡗⠳⡄⠀⢸ ⠁⠁⢰⠀⢁⡼⠁⠐⠚⢻⡇⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠇⡀⠈⠀⣸ ⡆⠀⠈⡐⢹⡀⠀⠀⢀⠈⣿⡄⠀⠀⢠⠀⠀⠀⡄⠀⠀⠁⢐⢄⣠⢻ ⢳⠀⣞⠸⠂⡏⡆⠀⢺⢰⡿⠳⢦⣔⢺⣂⠐⠂⠴⢂⢰⠒⠸⣜⠁⠁ ⠀⠑⠒⠋⠁⠓⠓⠛⠈⠁⠀⠀⠀⡹⠰⠻⠀⠃⠐⠚⠉⠺⠀⢸⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡵⣅⣀⡀⠀⠀⠀⠀⠀⣇⢆⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡃⠀⠑⠀⠀⠀⠀⢠⡫⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡐⠉⢲⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣻⠁⠀⠀⠀⠀⣠⠚⠉⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢠⢊⠜⣦⡀⠀⢨⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡁⠀⢀⣔⠏⠐⠉⠍⠱⣤⡾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠋⡎⠀⠀⠀⠀⠈⢆⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡃⠀⠀⠀⡃⠀⠀⠀⠀⠈⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠉⢆⡀⢱⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⢖⣈⠁⠈⠀⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣡⣤⠤⢤⣀⣀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⡏⢠⠀⣀⠀⠀⠉⠑⢦⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⢸⠀⠈⣤⣽⣀⡐⠗⠀⢸⡇⠀⣠⣾⡄⠀⣆⠀ ⠀⠀⠀⠀⢀⣏⡓⠑⠒⠛⠻⢭⣻⠟⠀⡌⠇⠀⢻⣿⣇⣼⣿⣇ ⠀⠀⣤⣀⣀⣹⣿⣉⣒⣲⣤⣼⠀⠉⠛⢮⠀⠀⢀⣿⣿⣿⣿⠇ ⠀⢀⣿⡿⠿⣿⡛⠛⠚⠻⠿⠿⠿⢟⣛⡉⠀⢠⣿⠭⠿⡷⠀⠀ ⢀⣿⣷⡾⠶⢶⣿⠀⠀⣠⡤⣄⡀⢠⣤⡈⢲⣿⣿⠌⢀⠃⠀⠀ ⠀⢿⣇⠃⠁⠚⢯⠀⣠⣇⣠⣴⣷⠾⠻⠃⠘⣿⣿⠀⡜⠀⠀⠀ ⠀⣾⣀⣀⠀⠀⡜⠀⠙⠛⠫⠽⠋⠀⠀⠀⠀⡿⠟⠋⠀⠀⠀⠀ ⢸⣿⡯⠓⠛⠷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀ ⠈⢻⣷⡾⠓⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠘⡿⡷⠄⢿⠆⠀⠀⠤⠄⠄⠀⠀⠀⡀⠀⠀⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣤⣀⣀⡴⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣞⣿⣿⣿⣯⣿⡿⣿⣿⣿⣽⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⡀⣿⡟⠉⠀⠀⠀⠀⠉⠉⠉⠻⣧⣑⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢩⣧⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡧⠀⢹⣿⣭⠀⠀⣴⣶⡒⡄⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢏⣟⠀⠀⠈⠉⠀⠀⠙⠚⠁⢰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢺⠀⠀⠀⠲⠶⠶⠀⠀⠀⣧⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠙⡛⢗⣶⠆⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢄⠀⠀⠁⠀⣀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠉⠒⠒⣩⡿⠾⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠔⣪⡣⠤⢐⠔⠋⠁⠀⠀⠈⢽⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣮⢮⡽⡠⢣⠃⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠋⣾⠽⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⡧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⢗⢫⣿⣀⡂⠠⡇⠀⠀⠀⠀⠀⠀⠀⡧⡇⠀⠀⠀⠀⠀⠀ ⠀⡐⠈⠙⡾⠀⠫⠀⠙⣡⠀⠀⠀⠀⠀⠀⠰⣨⣳⠀⠀⠀⠀⠀⠀ ⠠⠑⠁⠑⠀⠀⠀⠀⠤⢽⠀⠀⠀⠀⠀⠀⠠⡿⡿⠤⠤⠄⠤⠄⠄
⠀⠀⠀⠐⠀⠠⠀⣀⢀⣀⣤⣠⣄⣤⣤⣤⠀⠀⠀⠀⠀⠁ ⠀⠀⣼⣴⣼⣷⣿⣿⣿⣿⣿⢿⡗⡿⠿⠿⠄⠀⠀⠀⠀⠀ ⠀⠀⣿⢿⢻⢋⠟⡏⠁⠁⠀⠄⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⡵⠅⠐⡷⡂⠀⠀⢠⣇⢸⣀⠀⠇⠀⠀⠀⠀⠀ ⠀⣽⠁⠆⣥⢤⣤⣠⢃⢰⠀⡈⠈⣜⠳⣆⠆⡀⠀⠀⠀⠀ ⢀⣿⠀⣶⠀⢸⠿⠷⠀⢻⡆⡁⢠⣼⣶⡿⣦⡀⡄⠁⠀⠀ ⢸⣿⠀⣯⠀⠀⠉⠁⠀⠀⠈⠃⠀⠯⠩⠁⠋⢀⢀⠀⠀⠀ ⣿⣿⡆⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠘⢀ ⣿⣮⢀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢀⠇⠀⡄⠈ ⠻⣷⢨⡀⢹⢿⣦⡀⠀⠀⠀⢀⡀⠔⢪⣿⠀⢺⢹⠀⣧⠀ ⠀⡄⢸⢱⢸⣽⣿⣿⣷⠐⠊⠁⠀⣀⢼⣏⢈⣿⣸⡀⢿⡆ ⡸⡀⠮⠘⢆⠛⠻⠛⠻⣄⡠⠔⠊⠀⢰⠃⣼⣿⣿⣇⢸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠈⠉⠀⠂⢄⡠⠒⠀⠐⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⡀⠀⠤⠄⠈⢆⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠈⠁⠣⢀⠀⠀⠀ ⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⡠⠄⢀⡀⠀⣐⠒⠀⠐⡀⠀⢀⣤⣄⣠⡤⣀⠀ ⠀⠀⠀⠐⠁⠀⠀⠀⠀⠘⢀⠁⢠⣤⣤⣤⡵⠶⢷⣼⠀⣪⣶⣤⣄⠐⡍⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢙⠛⠿⢶⣏⣀⠨⠜⢬⡿⢿⣿⠗⠀⠇⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠈⠉⠀⠁⢠⠆⠀⠈⠑⢆⠂⠠⠚⡄⠀ ⠀⡆⠀⠀⠀⠀⠀⠀⡴⢬⡄⣀⠀⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠌⡄ ⢀⠀⠀⠀⠀⠀⠀⠀⠈⠃⢑⠒⠤⢉⣀⡒⠂⠀⠀⠀⠤⠤⠄⠠⠤⢂⡌⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⢀⡀⠀⠈⠉⠀⠀⠀⠀⠀⠈⣡⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠉⠉⠉⠉⠈⠀⠀
⠀⠀⠀⠀⠀⢀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⢀⣠⣄⣸⠿⣤⠙⢧⣉⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡞⢉⣿⣼⡇⠀ ⠀⠘⠛⢲⠈⣇⣜⢀⣮⠝⠀⡟⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢥⣿⠿⣇⡸⠿⣅⡀ ⠀⠀⣠⢏⣉⣁⡨⠯⢕⣠⠞⠁⠀⠀⣠⠞⠋⠉⠀⠈⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⣀⣧⣴⡷⠘⠿⢤⣾⣿⠗ ⠀⢸⠁⠀⢀⠤⢽⣮⢉⠉⡆⠀⠀⡼⠁⠀⠀⣠⣤⣄⠀⠀⠀⠹⡄⠀⠀⠀⠀⢰⠎⢀⣩⣽⣧⡤⠄⠘⢆⠀⠀ ⢠⣿⠓⠢⣅⠀⠀⠙⢀⡼⠀⠀⣠⡇⠀⠀⠀⠻⠿⠟⠀⠀⠀⠀⡗⠢⣄⠀⠀⠘⣆⠀⠋⠁⠈⠇⣀⣀⣸⡀⠀ ⣸⡛⣇⠀⠈⠙⣻⠋⠁⠀⢠⠞⠁⠹⣄⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠳⡄⠀⠈⠓⢤⡤⠤⠒⠁⢉⣷⡇⠀ ⣿⠇⠀⠀⠀⠀⣧⡆⠀⢀⣏⣀⠀⠀⠙⠳⣤⣄⣀⣀⣤⠴⠛⠁⠀⠀⠀⠤⣵⠀⠀⠀⣼⠇⠀⠀⠀⠘⣹⡅⠀ ⢱⠀⠀⠀⠀⠀⠹⢷⣆⡾⠋⣠⣤⣤⣀⠀⠀⠒⠙⠓⠒⠂⠀⢀⣤⣶⣶⣄⠈⢧⢀⣶⠟⠀⠀⠀⠀⠰⠛⡇⠀ ⠘⣇⠀⠀⠀⠀⠀⠘⢻⡇⠀⢿⣿⣿⣬⣷⣦⣄⣀⠀⣀⣠⣴⣯⣼⡟⣻⠏⠀⢸⠟⠃⠀⠀⠀⠀⠀⠀⣰⠃⠀ ⠀⠘⢆⠀⠀⠀⠀⠀⠘⣇⠀⠀⠛⢿⣛⣿⣧⣀⣿⣿⣿⠿⣏⣹⠿⠛⠁⠀⠀⡼⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀ ⠀⠀⠘⢷⠄⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠉⠉⠀⠀⠀⡀⢀⡴⠁⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⣷⠄⠀⠀⠀⠀⠙⣿⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡡⠋⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠙⠲⣦⣄⡀⣀⠀⢀⣤⣤⣞⠁⠚⠀⠀⠀⡀⠀⠀⣴⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⣄⠀⠀⠀⠀⠉⠉⠙⠲⠻⠛⡽⠁⠀⠀⠀⠀⡼⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠘⣿⢄⡠⣄⠀⠀⠀⠀⠀⠘⠀⢀⠀⣀⣴⡟⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠒⠀⠈⠃⠙⠏⠓⢤⡀⠀⣄⣀⡴⡿⠞⠋⠋⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣤⡀⠀⠀⡟⠳⠤⢀⣀⣀⣀⣀⣀⠤⠤⠒⢦⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠖⠒⠒⢄⡘⠳⡄⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⠀⣀⢴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠒⠒⠒⣒⡲⣿⣶⣼⢲⡬⢧⡀⠀⠀⠀⠀⠀⠀⢰⣿⠽⢶⠊⢉⡝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣦⡶⠟⢻⡓⢢⡙⣷⣷⣄⡈⢧⠀⠀⠀⠀⠀⠀⠈⠻⣽⡏⣯⡭⠗⠒⠒⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠷⠬⢤⣌⣉⣉⣠⣼⠟⠛⣿⡆⠀⠀⠀⠀⠀⠀⠀⢸⡘⠾⠤⢀⣀⣀⣀⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠤⠤⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠠⠤⠤⠖⠚⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣇⠀⢢⢄⠢⣑⢢⣀⡀⠀⠀⠀⠀⠀⠀⢀⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣿⡹⢃⡴⢊⠉⠋⢡⠰⣡⠀⠀⠀⠀⢱⠀⠉⠛⣢⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠴⡞⠀⣻⠁⠈⠀⠀⢀⠛⠋⠀⢀⠤⠄⠀⠣⡂⠀⢼⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣴⢁⠴⢻⠐⠀⣁⣲⡻⡀⠀⢘⣭⣶⠶⢦⣤⢽⣦⣾⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢽⣶⣿⢴⠛⠉⣭⠙⠿⣄⠀⠈⢙⣃⣀⣼⣸⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢿⢿⣧⣷⠖⠊⠑⢰⣇⠉⠀⠀⠀⠀⠛⣿⡏⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⡹⢿⡍⠁⠀⠀⠀⠉⠉⠀⠀⠀⣀⠀⣛⠴⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠫⣿⡄⢸⣖⣦⣽⡓⠋⡷⠿⢃⣸⠗⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⣦⣄⠀⠀⠒⠂⠀⢀⡾⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⠙⡳⣲⣰⣆⣻⢟⡔⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⢢⠈⠱⡀⠔⠁⡜⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣀⡀⣠⡾⡏⠀⠘⡀⠀⢹⡀⢰⠁⠀⠐⢣⢄⡀⠀⠀⠀⠀⠀⠀ ⡄⣶⣶⠒⢿⣿⣿⣿⡿⠈⠠⠀⠀⠰⠀⠀⢀⠂⠀⠀⠀⠀⠑⣿⣿⣶⡦⠤⣤⣄ ⣰⣿⠇⠀⢀⠜⠿⠿⠿⠏⠉⠉⠐⠄⠁⠀⠀⠀⠂⠀⠀⢀⣿⣿⣿⣿⠀⠀⢿⣧ ⣿⠏⢀⠔⢡⣿⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣶⠀⠀⠸⣿
⢀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀ ⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿ ⣿⣿⣿⡁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢈⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⣴⣦⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠁⠀⠀⢀⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⠛⢻⣿⣿⣿⣦⣴⣿⣿⣿⡟⠛⠻⣿⣿⣿ ⣿⣿⣿⣦⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣴⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⡁ ⠈⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣅⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢻⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⢻⣿⣿⡿⢿⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⣤⣄⣰⣿⣤⣾⣿⣤⣾⣷⣴⣿⣿⣿⣿⠿⣷⣾⣿⣿⣤⡀ ⠀⠀⢀⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣶⣷⣤⣿⣿⣏⡀ ⠀⢠⣄⣽⣿⣿⠿⣿⣄⣿⣧⣼⣿⣤⣿⣧⣼⠿⠟⠋⢙⣿⣉⣿⣿⡿⠇ ⠀⠈⣿⣿⣿⠿⣶⡿⠋⢁⣠⣤⣤⣤⣀⣀⣤⣤⡶⠀⣼⡟⢻⣿⣿⣷⡆ ⠘⠿⣿⣿⣿⣤⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⡟⢻⣿⣿⣿⣄⠀ ⠀⣴⣿⣿⣧⣸⣿⣇⠈⢿⣿⣿⣿⣿⣿⡿⠋⢀⣾⠛⣿⣿⣿⣿⠙⠛⠀ ⠀⠉⣸⣿⣿⣯⣈⣿⣦⣄⣈⠉⠉⣉⣀⣤⣾⠛⢻⣿⣿⣿⡟⠻⠟⠀⠀ ⠀⠀⠛⢙⣿⣿⣿⣧⣤⣿⡉⣿⣏⢹⣿⣄⣿⣿⣿⣿⡿⠻⠿⠂⠀⠀⠀ ⠀⠀⠀⠘⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡏⠹⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠁⠘⠿⠉⠹⠿⠁⠻⠟⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠇⢀⢼⠀⢀⠤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢋⠐⠎⠀⠘⠁⠀⠊⠀⢰⠤⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢆⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠶⡒⠀⣠⠴⡒⣲⡻⠛⠒⢢⣄⠀⢂⣝⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠴⡴⣼⢫⣎⣿⠻⠣⣵⣒⣠⣺⣷⡼⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣮⡀⣛⡇⣈⡙⠂⠒⢋⡆⠀⠟⣽⣷⣧⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⣄⣱⡽⡆⡀⠀⢘⡀⠀⢣⢄⣐⣿⠛⢱⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠧⢃⡏⡀⢻⡇⡀⠘⠀⠀⣈⠞⢹⡏⠀⣸⠈⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⣇⢀⡇⠘⢧⣠⡅⠒⠨⣮⠤⠊⠀⢠⣿⢾⣻⣳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠤⢫⠙⢷⣤⣀⢑⠒⡆⣹⣀⣤⠤⣶⣿⣿⡯⣮⠶⡃⠀⠀⠀⠀⠀ ⠀⠀⠀⡐⢿⡀⠜⠊⡆⢿⣿⣿⣻⣧⣻⣿⣿⡾⠟⢛⠃⠀⠘⢦⣎⠀⠀⠀⠀⠀ ⠀⢀⡠⣧⣀⣤⣶⣮⡻⢸⠍⡿⣣⣿⣀⣯⣑⣂⣡⢽⡠⠀⢀⠀⡷⡇⠐⠒⠤⡀ ⠄⠀⠀⡄⠉⠉⠉⠀⣛⢞⣶⣄⣨⢩⡗⠳⠒⠚⢉⠜⣠⠖⠋⠀⣿⠀⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠁⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠟⠉⠀⠀⠈⡛⢦⡀⠀⢀⣀⡀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⣴⠋⠁⠀⠀⠀⠀⠀⣶⠞⠛⠻⠋⠉⠹⣧⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⡀⣼⠃⠀⠀⠀⠀⠀⠀ ⣸⠇⠀⠀⠀⢀⣶⠀⠀⢻⣦⠀⣎⣱⠄⠀⣿⣥⣄⣸⠃⠀⠀⠀⠀⠀⠀⠀⢱⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⡀⠀⠀⣠⣿⠃⠀⠀⢸⣇⠀⠀⢠⣤⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠓⠲⠛⠋⠙⠷⣄⠀⠀⠙⠓⢚⣋⣀⠁⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠰⢯⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⠟⠀⣠⡴⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⣛⠶⣦⡀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠋⠀⢠⡾⠋⠀⠀⣾⣷⠀⠀⠀⠀⠀⠀⠀⢸⣯⡇⠈⠻⣦⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⢰⡏⢀⣀⣤⣴⣿⡿⠀⠀⠀⠀⠀⠀⠀⠺⡿⠃⠀⠀⠈⣷⠀⠀⢸⡟⠀⠀⠀⠀⠀ ⠀⠀⢰⡟⠀⠀⣿⣷⠉⠁⠀⠈⢿⡄⠀⠀⢶⣿⡇⠀⠀⠀⢅⢀⡠⠀⠀⣽⠀⢨⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠘⣧⡀⡄⣿⣿⡀⠀⠀⠀⢰⡇⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⣴⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠷⣼⣯⣷⡀⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡾⠟⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣦⡀⠀⠀⠻⣝⠛⢛⣿⣟⠛⠛⠉⠉⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⢈⣿⡀⠀⠀⠈⠉⠙⡇⠙⣦⣀⠀⠀⠀⣰⠏⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣏⡀⠀⠀⠉⣿⠀⠀⣀⣠⣾⡇⠀⠀⠙⠷⣤⡾⠋⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⣤⣤⠾⠛⠉⠉⠉⠉⠈⠳⣄⡀⠀⠀⣴⡆⠀⠀⠀⠈⢿⡴⣦⠀⠀⠀⢀⡆ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⣿⠁⠀⠀⠀⠀⣠⣿⡁⠀⢀⣠⠾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⠴⠶⠛⠁⠈⠙⠛⠉⠁⠀⠀
⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⣭⠎⠀⠀⢀⠃⠀⠀⡈⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⢡⠀ ⠏⠆⢀⠀⡌⠀⠀⠀⡇⡇⢂⠀⠀⠀⡀⠀⢠⠀⠀⢸⠀⠀⢰⠀⠀⠀⠰⠀⢁⠆ ⣷⠰⢸⠀⡃⡇⣄⠀⣷⡇⠀⢣⢀⣂⡇⢀⡌⠀⠀⣸⠀⠰⠀⠀⠀⠈⢆⢰⠌⠌ ⡏⡇⢿⡀⡇⣇⡿⢇⣇⡷⣀⠀⢸⣿⢠⠟⡤⣃⡴⡻⡧⠻⡰⡆⡀⢸⢾⣸⣾⠀ ⡟⣿⡸⡇⣸⠈⣁⠠⠷⣮⠘⠐⠉⡺⠃⡲⠷⠬⠤⠬⢀⠞⢰⢠⠰⣷⢢⣿⢗⠀ ⠁⣙⣷⡿⣿⢖⠒⣶⣶⠟⠁⠀⠀⠉⢛⠖⢲⣶⡶⠒⠈⠀⡼⣇⠷⢱⢀⣿⠈⢹ ⣿⣿⣿⣧⠘⡆⠁⠀⣁⣀⣀⣀⣀⣀⣀⣀⣒⣒⣒⠁⠀⠀⠘⠸⠾⢁⡞⠉⠂⠀ ⣿⣿⣿⣿⠓⢓⣉⣥⣾⣼⢣⣴⣶⣷⣶⣦⣤⣤⣄⣀⣉⣉⣉⡉⠉⠉⠁⠄⡀⡀ ⣿⡿⣿⡿⡄⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣧⣷⣿ ⠈⠁⠛⣧⣱⢻⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣃⣼⣿⣿⣿ ⠀⠀⢚⡃⡙⢄⢩⣽⣯⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠈⣿⣿⣿ ⣿⣷⣶⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⣛⣥⣴⣶⣿⣆⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠒⠒⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡯⠧⠽⠼⠦⠦⠷⠵⠶⠬⠽⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣩⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠾⣹⠀⠀⠀⠀⣀⣀⣀⣀⠀⡤⠀⠀⣄⣀⣤⣶⠶⣄⡀⢻⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡿⢷⡇⠀⢀⡶⣿⣿⣿⣿⣿⡻⠃⠀⢀⣻⡿⣿⣿⣿⣏⠁⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⣾⡇⠀⠀⠿⢾⣽⣿⣯⠿⠇⠀⠀⢸⠛⠙⢛⣛⠽⠁⠀⠘⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡞⢧⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠸⢼⡄⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠢⣄⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠼⡇⠀⠀⠀⠀⢀⠀⢺⣀⣀⡀⠀⣠⣴⠞⠀⠒⢤⠠⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⠀⣴⣹⣄⣀⣭⣿⣿⣟⣁⣶⣶⣶⢷⣾⣠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠘⣄⡝⠛⠳⣶⡛⠛⠛⠛⠚⣉⣽⠃⢸⣿⣿⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣦⠀⡜⣟⢳⢀⠈⠙⠯⣅⣀⣡⠴⠇⢠⣿⣾⡿⠛⡿⣝⠓⠶⢦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣻⠻⠈⠻⣿⣿⡷⠂⠀⠀⠀⠘⠁⠁⠀⢠⣟⣿⡿⠁⠀⡇⠘⣧⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⡇⠀⡇⠀⠀⠙⢿⣄⠀⡀⢠⡤⠀⢀⡴⢏⣹⠟⠀⠀⠀⢳⠀⣸⠀⠀⠀⠀⠀⠀⠈⠛⠶⣄ ⠀⠀⠀⠀⢀⣠⡴⠋⠁⠀⠀⠀⢳⡀⢷⠀⠀⠀⠀⠙⠲⢿⣼⣅⣷⣸⡿⠟⠳⠀⠀⠀⠀⠈⣦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⢳⣾⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⡴⡇⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠘⣶⣄⣀⡠⠞⢰⠁⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠘⢧⡀⠀⠀⡞⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠶⠤⠤⠤⠥⠤⠼⠗⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⣋⠙⠟⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠟⣋⡤⠴⠫⡀⡋⢩⠇⢐⡈⠋⠧⢮⡙⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢟⠵⣊⡼⠚⠛⠤⠀⣠⠌⠽⣮⡋⠀⠀⠀⣺⣦⡙⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢋⡏⣸⣿⣟⡀⣾⠂⣱⣿⣿⡿⣿⣿⣍⣷⡦⡜⢿⡿⣽⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡎⣜⢷⣛⣿⣯⣧⡴⢡⣿⣿⡯⣿⣿⣿⣿⣿⣟⣲⣤⣽⣸⣿⣿⣿⣿ ⣿⣿⣿⣾⣧⣹⣿⣹⠿⠟⠫⣶⡾⠛⠿⠃⢹⣿⣿⣿⠙⠹⣿⣿⡿⠶⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣏⢻⢆⣀⠑⣶⢿⠷⣶⠀⠀⠀⠀⠰⠿⡤⣤⡹⣟⣼⡧⢼⣿⣿⣿ ⣿⣿⡟⣿⣿⣿⣄⣷⡀⣼⡙⣷⡀⠀⠀⠀⠂⠀⠀⠀⠸⡿⢧⠻⢏⢹⣾⣿⣿⣿ ⣿⣿⣷⢹⣿⣿⣿⣿⣏⣿⣷⢌⣿⡦⠀⠀⠐⠀⠀⠀⡐⠁⠀⠀⠀⣯⣿⣿⣿⣿ ⣿⣿⣿⣇⠟⢿⡿⠟⢿⡿⡼⣾⣯⣿⡆⠀⠀⠀⠀⡘⠀⠀⠀⢀⡞⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣆⠆⠻⠀⣿⣷⡿⣿⣟⠿⡀⠀⠀⠀⠀⠀⠀⠀⢠⡞⣼⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣀⠄⠈⠩⠅⠉⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⢁⣴⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⡙⠂⠀⠄⡀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⣿⠿⡟⠛⡭⡡⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢃⣿⠁⣠⣮⣼⡸⠁⠀⠀⠀ ⣷⣮⣕⡠⡮⠊⠀⠀⠀⠀⠀⢀⢄⣀⠊⠂⢌⠀⠁⠺⣏⢸⣿⣿⣿⠃⠀⠀⠀⠀ ⣿⣿⡿⡻⠁⠀⠀⠀⠀⠀⠀⠆⡀⠈⠂⢄⢀⠜⠂⠔⢁⢔⠿⢿⡟⠀⠀⠀⠀⠀ ⣩⣴⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠊⠰⡀⠀⣠⠮⠋⢀⣤⣋⠵⣶⣄⡀⠀⠀ ⠛⠋⠃⠀⠀⠀⠀⠀⢀⢡⠀⠀⠠⠀⠀⠀⡈⢯⠔⣊⢉⠕⢁⠠⠒⠙⣷⠈⠒⢄ ⢶⣶⠀⠀⠀⠀⠀⠀⠸⠄⢆⠀⠀⠑⣄⠀⢠⠤⣢⣼⣥⣎⠁⠀⠀⠠⡘⡆⣀⣤ ⠹⣿⠀⠀⠀⠀⠀⠀⢐⠊⢺⡢⠀⠀⠘⣖⠠⠞⣿⣥⠷⠹⠀⠀⠀⠀⣿⣴⢡⣤ ⠀⠈⠁⠀⠀⠀⠀⣀⢸⣄⣤⣕⠕⠄⡰⠍⠀⠀⠙⠤⠜⠀⠃⠀⠀⠀⣽⡇⢫⣿ ⠀⠀⣦⠀⠀⠠⠀⣆⡾⢹⠵⠿⡆⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿⣱⢄⠐ ⠀⢀⠃⠆⠀⠀⢂⢩⠙⠀⠑⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡰⠀⣯⣀⠏⠃ ⠀⡸⣴⣎⠄⠀⠈⣆⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⠀⣛⢷⡯⣺⣿⣷ ⢀⢇⣿⠿⠛⣄⠀⠈⠉⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⢀⠴⣅⠇⡠⢯⠞⠁⠐⢻⠿ ⡘⠘⢀⣴⢎⠚⡕⢄⠣⠠⡽⢤⠘⢥⡐⣲⠂⣠⣶⣷⣶⣣⢚⣷⡥⠔⠂⠉⠉⠉ ⠀⢐⡽⡱⠁⢦⢃⣇⣏⠳⠌⠊⠗⣀⡞⠁⣻⡛⠉⢉⠜⢁⠁⣿⣷⡀⠀⠀⠀⠀ ⢠⢎⠊⠀⠸⡼⡈⠘⢸⠀⡫⠑⢂⣿⡗⠈⠀⠙⡶⣇⠀⠁⠀⢷⠹⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⣁⡀⣠⣬⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⢽⢴⢝⡳⠦⢇⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠹⡇⠀⠀⠀⠀⠀ ⠠⠶⠦⠤⠤⠬⢆⣀⣒⣒⣀⣼⡧⠤⠤⠴⠶⠤ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠛⣿⢿⡟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠿⣦⣿⠉⠙⣷⠀⣰⡿⠋⠉⠉⠙⣦⠀⠀⣿⠿⣦⡀⣠⡾⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⠈⠿⠀⢀⣿⠰⣿⠀⠀⢠⠀⠀⠈⣇⠀⣿⠀⠘⠿⠋⠀⣾⡇⠀⠀⢰⣶⣶⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢀⣼⣿⠀⢿⣄⠀⠀⠀⣠⣾⡏⠀⣿⠀⠀⠀⠀⢠⣿⡇⠀⠀⠈⠛⠛⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠿⠿⠀⠀⠉⠳⠶⠿⠿⠋⠀⠀⠛⢶⣶⣶⣾⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠖⠒⠒⠲⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠟⠋⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠉⠀⠀⠀⠀⠀⡞⠁⠈⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣀⠀⠀⠀⠀⠀⠣⣀⣀⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠓⠒⠚⠛⠳⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠦⠤⠤⢶⡶⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣤⣤⣄⡀⠀⠀⣤⣤⣤⡀⠀⣠⣦⢰⣤⣤⣄⠀⠀⠀⢀⣷⣄⠀⠀⠀⠀⣶⣶⣦⣤⣤⡀⠀⢠⣤⣤⣤⣤⣤⣤⡄ ⢸⡇⠀⣤⣀⣽⠀⠀⣿⠀⢸⣿⠀⣿⠙⢿⡇⠀⢹⡇⠀⢀⣾⠏⢹⣧⠀⠀⠀⣿⡇⠀⣤⠈⣻⡄⠈⢿⣅⠉⠉⢉⣿⡷ ⢸⡇⠀⢿⡀⣹⡆⠀⣿⠀⢸⣿⠀⣿⡄⠈⠁⠀⣸⡇⢠⣾⠃⢠⣄⢹⣧⠀⠀⣿⡇⠀⠸⣿⣿⠃⠀⠈⢿⡆⠀⢸⡟⠀ ⠸⣧⣤⣭⣿⣿⠇⠀⢿⣦⣿⣿⠀⢿⣧⣤⣤⣾⣿⡇⢻⣇⣀⣀⣀⣸⣻⣧⡀⠻⣧⣤⣤⣿⣿⣆⠀⠀⠼⣧⣤⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠉⠉⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠃⠀⠀⠈⠉⠉⠁⠀
⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣄⡀⠀⠀⠀⠙⣿⡯⠛⠛⠛⠲⠤⢿⣆⣙⠻⡶⢤⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣯⠙⠛⠳⠦⠤⠼⣿⠛⠓⠲⠴⣶⠾⣿⠽⣧⣿⣤⡈⠻⣿⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣯⢣⡀⠈⠓⢦⣄⡈⠃⠀⠀⠀⠙⢧⡈⠻⣶⣭⣄⠙⢶⣌⠑⣾⣝⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣷⣝⠦⣀⠀⠀⠉⢙⣲⡶⠴⠶⠶⠿⠷⣤⡈⠛⠿⡶⢍⣠⡿⣿⠗⠿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣟⠷⣌⡓⠦⠀⢯⡉⠉⠉⠉⠙⠒⠶⢴⣿⡟⠶⠦⠀⠘⠿⢿⣄⢀⣻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣟⢦⣀⣹⡧⠤⠍⠻⢦⣀⠀⠀⠀⠀⠸⣇⠙⣆⠀⡗⠓⣦⣄⣀⣿⡌⣧⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠳⢿⣟⡒⠤⠤⠤⢄⠉⠳⣦⣤⠄⠀⣉⡤⠼⠞⠛⠋⠉⠉⠉⠙⠛⣿⡎⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠏⠙⠛⣲⣶⠶⢶⡏⠁⢀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣷⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⢻⣿⡁⠀⠀⠸⠶⠞⠉⠀⠀⠀⠀⢀⣀⣠⣴⡶⠚⠋⢹⣿⢹⣿⡇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⢀⣀⣀⣠⡤⠶⠖⢛⣯⣵⠾⠿⠛⠓⠀⠀⢻⢘⣿⡇⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠉⣉⣉⣀⣀⣄⡀⠀⠛⠋⢀⣴⣾⣿⠆⠀⠀⠈⢯⣿⠃⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣼⡌⠉⢩⣽⣽⠽⢹⠀⠀⠀⠈⠈⠛⠁⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣯⣧⠀⠁⠈⠉⠀⣼⣤⡤⠶⣶⠒⠒⠒⢚⣉⣭⠟⠁⠀⠀⠀⣀⣤⣤⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⣀⡤⠖⣫⣽⠶⣷⠚⠉⠉⢿⠉⢉⡾⠁⠀⢀⡴⠞⠉⣁⣀⣤⠤⠤⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠤⠖⠛⢹⠀⠀⢻⡀⠀⠀⢸⡶⠋⢀⡠⢞⣣⠴⠚⠋⠁⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠈⣧⠀⠀⢧⣀⡴⠋⠀⠀⢉⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣇⠀⠀⠈⠂⢀⡼⠋⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⣆⠀⠀⣰⠟⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⠶⠖⠚⠉⠉⠙⠓⠶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠙⣦⡾⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⠋⠉⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠀⠀⣰⠟⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠃⠀⢀⡴⠃⢀⡀⠁⠀⠀⠀⠀⠀⢀⡤⠒⢿⡀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡁⠀⠀⣾⡁⣠⠞⠁⠀⠀⠀⠀⣀⡴⠋⠁⠀⠀⠻⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⢰⡏⠉⠁⠀⠀⠀⣀⡴⠚⠁⠀⢀⣴⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⣿⠀⠀⠁⠀⠀⢀⣤⢾⡅⠀⠀⣠⡴⠋⠁⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⢸⡧⠤⠶⣺⣿⡉⠀⢸⣅⣴⠟⠁⠀⠀⠀⠀⠀⠀⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⢠⡟⠀⢀⣴⠛⡇⢸⡼⣿⣿⣿⣤⠾⡏⠁⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⢸⠀⣠⠞⢁⣴⡇⠘⣧⣽⡇⡟⠀⠀⠈⠃⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠸⠾⠃⠀⠾⠀⠻⠋⠉⠘⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡞⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠹⠀⠀⠀⠀⠹⡀⢤⠒⠒⠤⠤⢴⡻⠋⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠀⠀⠀⠀⠱⣦⡑⢤⡀⠀⠈⠓⢤⣰⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⠘⡆⢢⡀⠀⠀⡠⠼⠛⡇⠈⢿⣆⠀⠠⡄⠉⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⢹⠀⠱⢀⠉⠙⠁⠀⠀⠀⠀⠐⡌⢿⣤⡲⡘⠄⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⡞⠠⠒⢁⡴⠀⠀⠀⠀⠀⠀⠀⠘⠘⣷⢷⠁⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⢀⠜⠁⢀⣴⠏⠀⠀⠀⠀⠀⣴⣾⣭⣭⣕⣺⡜⣧⡽⡅⠙⡽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⢀⣤⠾⠋⠉⠀⠀⠙⣿⡇⢹⠀⠙⢆⠘⡝⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣠⡾⠁⢴⡶⠶⣦⡀⠀⣿⡇⢸⢠⣶⣾⡧⠁⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠴⠟⠋⠉⠉⠉⠙⠢⣀⠈⠛⠿⠿⠃⣀⣿⠃⠈⠟⠋⠁⡇⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡇⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⠀⠁⠀⠀⠀⠀⠰⡞⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣄⠀⠀⠀⠱⣄⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠰⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⣀⣀⣈⣳⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⠻⢦⣄⠀⠴⣤⡀⠀⠀⠀⠀⠀⠀⢸⠋⣀⢀⢹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠁⠀⠀⢇⢻⣆⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣈⠙⠦⡀⠀⠀⠀⠀⠘⢦⣈⣨⣿⠋⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡏⠀⢰⠀⠈⠳⣝⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠚⠓⠢⠤⠤⠤⠴⠚⠋⠁⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⢸⡀⠀⠀⠈⠑⠪⢝⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢠⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⢺⣇⠀⠀⠀⠀⠀⠀⠈⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡇⠀⢿⡀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⢿⣆⠀⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⣸⠁⠀⠀⠳⡄⠀⠀⠀⠀ ⠀⠀⠈⡇⠀⠀⠀⠀⠻⣧⡀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⣾⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡀⠀⠀⠀⠀⠈⠻⣦⠀⢻⣆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠙⣆⠀⢻⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠘⠀⠈⡆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠛⠛⣛⢋⠙⠛⠛⠛⠛⢛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⣀⣀⡀⣀⡀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣖⣋⣉⣉⣀⡀⠀⠀⠀⠀⠉⠉⠒⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠤⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⢄⡀⠀⠀⠀⠈⢣⡀⠀⠀ ⠀⠀⠀⣰⠁⠀⠀⠀⠀⢀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⣄⠀⠀⠀⢱⡀⠀ ⠀⠀⠀⢹⡒⠉⠙⠒⠒⡾⠁⠀⠀⠀⠀⢀⣠⠴⠒⠒⢦⡀⠀⠀⠱⡄⠀⠀⢧⠀ ⠀⠀⢠⣿⣿⡏⠓⢄⠀⠣⠤⠤⠤⠒⠋⠁⠀⠀⠀⠀⠀⠙⢦⡀⠀⠸⡄⠀⠘⡄ ⡤⠤⢯⣙⠛⠁⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠴⣤⣤⡀⠀⢱⡄⠀⡇⠀⠀⡇ ⠘⢦⡀⣸⠉⠉⠉⠀⣿⠳⡦⣤⣄⣀⡀⠀⠈⢆⠀⠿⡿⠏⢦⣸⠃⢠⣧⣀⣀⡇ ⠀⠀⢸⠃⠀⠀⠀⠀⠘⢶⣀⡇⢸⣋⣽⠀⠀⠈⠙⠒⠒⠒⢻⠇⠀⡟⠀⢀⡴⡇ ⠀⠀⠈⠑⠤⣀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⡷⠒⠋⢠⠇ ⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⣀⡀⠀⠀⠀⢀⣀⣀⢤⠴⢶⠋⠀⠀⡾⠹⡄⠀⡞⠀ ⠀⠀⠀⢠⠋⢹⠛⠲⣄⡀⠀⡏⢫⠉⡹⠋⠀⠀⢸⠀⢇⣀⣠⠞⠁⠀⠸⠾⠀⠀ ⠀⠀⠀⢸⠀⠘⠚⣰⠃⠉⠉⡇⢈⡿⠋⠉⣷⣄⣀⠑⡆⠀⠘⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠣⠤⠖⠓⠦⠤⢼⠁⠘⣇⠀⣰⠃⠀⠀⠉⠃⠀⠀⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠈⠉⠉⠙⠦⣤⣀⣀⣀⣠⠼⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣇⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣥⣶⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣄⣀⡀⠀⠀⠀⠀ ⠿⣿⠋⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⡀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠉⢻⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⡷ ⠀⠀⠀⠀⣠⣿⡿⠟⠉⢿⣿⡇⠀⠀⠀⠀⠀⠀⠈⣿⣟⠀⠙⣿⣷⡀⠈⢿⣿⠃ ⠀⠀⠀⣰⣿⠋⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠘⢿⣷⠀⢸⠻⡀ ⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠈⣿⡆⠀⠑⠀ ⠀⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⢸⣷⡄⠀⠀ ⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⠀⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⢻⡿⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣷⣦⡀⠈⠉⠛⢿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⠟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠈⢻⣿⣦⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⠋⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠹⣿⣇⠀⠀⠀ ⠀⣠⣿⡿⠁⠀⠀⢀⣴⣿⠟⠉⠁⠀⢀⣉⢻⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣄⠀⠀ ⢠⣿⡿⠁⠀⢀⣴⣿⠟⠁⠀⢰⡀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣹⣿⣿⣧⠀ ⣾⣿⡇⠀⢀⣾⣿⣁⣤⣤⣤⣿⣧⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠻⣿⡇ ⣿⣿⣇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢰⣿⡟⠀⣿⣷ ⠘⣿⣿⣿⠶⠿⠟⠛⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣠⣿⣿⠁⢠⣿⡏ ⠀⠈⠛⠿⠷⠶⠾⠟⠋⠁⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⠁⠀⣼⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⢠⣿⡇⢹⣿⣿⠀⣼⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣽⣇⣨⣿⣿⣿⣿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡛⢿⣿⣏⠙⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣧⠘⢿⠿⠂⠼⠛⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⣀⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣶⣿⡟⠉⠻⣿⣿⣿⠀⠀⣿⣿⣴⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⡟⠙⠿⣿⣦⠀⠈⠻⠿⠀⠀⠿⠟⠋⠻⣿⣆⠀⠀⠀⠀ ⠀⠀⣴⣿⠏⠀⠀⠀⠈⠁⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠘⣿⣧⠀⠀⠀ ⠀⠼⢿⣿⣦⣄⡀⠀⣶⡿⠿⠛⠋⠉⠙⠛⠿⣷⡄⢠⣶⣿⣿⣧⡄⠀ ⠀⠀⢀⣼⣿⡿⠇⣸⣿⣤⣤⡄⠀⠀⢠⣤⣤⣿⣇⠘⠉⣉⣙⣿⡇⠀ ⢀⣴⣿⠟⠁⠀⣾⣿⠿⠉⢉⡁⠀⠀⢈⡉⠁⢿⣿⣷⠀⠻⣿⣿⡇⠀ ⠈⣿⣧⠀⠀⠀⠻⣷⡆⠀⠈⠃⠀⠀⠘⠁⠀⢰⣾⡟⣤⣄⠈⣻⣿⠆ ⠀⠘⣿⣷⣿⣿⣐⣿⡇⢀⣴⣾⣦⣴⣷⣦⡀⠈⣿⣇⣿⣿⣿⣿⠏⠀ ⠀⠀⠈⠉⠿⠿⠿⣿⣧⣌⣉⡉⠉⠉⠉⣉⣁⣼⣿⠿⠿⠏⠙⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⣷⣶⣶⣾⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⡠⠒⠈⡁⠤⠔⢶⡶⡆⣶⣤⡈⠂⡀⠀⠀ ⢀⠌⢀⣼⣅⠗⢺⣷⣽⡷⣷⣿⣿⣟⣆⠈⢆⠀ ⡌⢀⣿⡧⠿⠾⠿⠟⠛⠛⠙⠛⠻⣗⣿⡇⠀⡄ ⠀⠘⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀ ⠀⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀ ⠀⠰⣧⢠⣶⣶⣤⠀⠀⣴⢶⣤⡄⠀⢻⢿⡇⠀ ⢀⡠⢿⡀⠙⠛⠁⡀⠀⠉⠙⠁⠀⠀⡜⣽⢷⠀ ⠀⠰⣲⠇⠀⠀⢠⡁⣀⡄⠀⠀⠀⠐⣷⣿⡟⣤ ⠐⡀⠙⠿⡀⠀⣀⣋⣀⣀⠀⠀⠀⣸⣿⠻⠇⠁ ⠀⠠⠂⣠⣷⣄⠀⠀⠐⠀⢀⣠⠚⣿⣿⣦⡀⠐ ⡐⠁⣴⣿⣿⣿⣷⢤⣠⡴⠚⠁⢰⣿⠻⠛⠿⠂ ⠀⠘⢿⣿⣿⣿⡟⣦⠹⡠⠀⡠⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠿⠯⠞⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣠⡿⠟⢿⣶⠾⢻⣧⣾⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣢⡿⠋⠿⠋⠀⠀⠈⠀⠀⠈⠁⠙⠋⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣶⣤⠶⠶⠞⠛⠛⠛⠛⠛⠛⠛⠳⠶⢦⣄⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣏⢉⣿⠀⠀⢀⣤⣄⣀⣠⣤⣄⠀⠀⢰⣿⣏⠉⣷⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀ ⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠏⠀⠀⢿⡿⠿⠿⠟⠻⠟⠀⠀⠈⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀ ⠀⠀⡿⠀⠀⠀⠀⠀⠀⢰⣖⢒⠲⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠒⡒⣦⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠸⣧⢀⣀⣠⣤⣤⠶⠶⠶⠚⠛⠛⢻⡛⠛⠛⠉⠉⠉⠉⠛⣿⠛⠛⠛⠛⠛⠲⠶⡶⠶⢤⣤⣤⣄⣀⣀⡀⠀⢰⡇⠀⠀ ⠀⣠⡿⠋⠉⠁⢸⠂⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠉⣏⠉⠛⠻⣧⠀⠀ ⢰⡟⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠸⣧⠀ ⣿⠁⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢿⡀ ⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⢸⡇ ⣿⡀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠠⣼⠃ ⠸⣧⡀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣰⡟⠀ ⠀⠘⢷⣦⡀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⢸⡇⣠⡾⠋⠀⠀ ⠀⠀⠀⠈⠻⠷⣦⣄⣻⣄⣀⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⡏⠀⢀⣀⣀⣠⣤⡾⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⡀⠀⣰⠟⣀⡤⠀⠀⠀⠀⢀⣠⡶⠟⠉⢁⣠⣴⣾⣿⣷⣾⣿⣿⡟⣁⣤⣾⣿⣧⣤⣄⡀⠈⠳⣄⠀⠀⠀⣀⡈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣭⣉⣛⣻⣧⡠⠀⠀⢀⣴⢟⡉⠀⢀⣶⡿⠟⠉⠁⠀⠈⠙⠻⣿⣿⣿⣷⠉⠁⣐⣾⣿⠟⠛⠛⠛⠓⠒⠒⢦⣅⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⣭⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⠟⠁⠈⠻⣷⡦⠤⢿⣥⠞⢁⡴⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣧⣶⣿⣿⣿⣿⣭⣍⣉⡓⠲⢤⡀⠀⠈⠳⣄⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢁⡴⠃⠀⠀⠈⣙⡿⠛⣁⡴⠋⠀⠀⠀⠀⣀⣤⡤⣄⠀⠀⠀⣀⠀⢿⣿⣿⡿⠿⠛⠛⠛⠻⢿⡿⢷⣦⣹⣷⣔⡀⠈⠛⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣴⠋⢲⣶⣶⣶⡯⠽⠞⣿⠏⠀⠀⠀⢀⣶⡿⢟⣥⣾⣫⣿⠀⠀⣿⠀⢸⡟⠁⣀⣀⠀⡀⢀⠀⠀⢹⣷⣄⠀⠉⠉⠛⠓⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣾⠇⢀⣾⡇⠀⠀⠀⠀⣼⠋⠀⠀⠀⣴⣿⣫⣶⣿⣿⣿⣿⡇⡖⢸⣿⡇⢸⣷⣾⣿⣿⡆⢻⡘⣷⣦⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⢿⠀⣾⣿⢁⡀⣤⢀⡞⠇⣴⢀⣀⣾⢟⣽⣿⣿⡿⢻⣿⣿⡾⢣⣿⠏⡇⣾⠁⠀⠀⢹⡇⣾⡇⣿⠿⣧⠀⠀⢿⡻⡷⠦⠖⠂⠀⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠔⣛⡩⠼⡟⢲⣼⣿⢇⡾⣰⣷⡿⢁⡾⢡⣾⣿⢫⣿⣫⣿⠋⢀⣾⣿⡿⢱⣾⡟⢸⣷⡟⠀⠀⠀⣼⣻⢹⣧⣿⡆⣿⡄⢰⢸⣧⡙⣦⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣠⠖⣋⡥⠖⠋⠁⣀⠴⠗⢺⣿⣳⣿⣿⣿⣿⠃⣼⢃⣿⣿⢣⣿⣳⡟⠁⢀⣾⣿⡿⢡⣿⡟⢀⣿⣿⠃⠀⠀⢀⣿⠃⣾⣿⣿⣷⣿⣇⣾⣾⣿⣿⣾⣟⠷⠀⣼⡀⠀⠀⠀⠀⠀⠀ ⡀⠊⠁⠀⢀⡴⠋⠁⠀⣀⣼⣿⢿⣿⠋⣀⠈⢿⣿⣿⣿⣿⣿⣵⣿⣀⣠⣾⣿⡟⣠⣿⣏⣠⣿⡿⠃⠀⠀⠠⣼⠇⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⢸⡙⠲⣀⠀⠀⠀⠀ ⠀⠀⢀⡴⣋⠤⠴⠲⠽⠛⢉⣴⣿⡃⢰⣜⣦⣾⣿⣿⣿⣿⢿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⢀⣼⣁⢀⡾⠁⢸⣿⣿⣿⣿⣽⣿⣿⣿⣿⡏⠉⠛⠉⣇⠀⠈⠑⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠉⠁⢿⡋⠉⣿⡿⠀⣿⢾⠀⣿⣸⡗⠋⠔⠋⣀⣞⡋⠉⠙⢿⡅⠀⠀⠀⣐⣿⡿⢿⣿⣷⣶⣾⣿⣿⣿⣟⣿⣿⣿⣿⡿⠘⠀⠀⠀⠙⢯⣓⢤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣇⠀⢿⡅⠀⣯⠘⠀⢻⢹⣿⣿⣶⠶⣤⣄⣈⠃⠀⠀⣷⠀⠀⡴⢋⣁⣀⡀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠉⠓⢮⣙⠆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠘⣆⠈⠻⣄⠹⠀⠀⠈⠙⢲⣻⡿⣀⣀⠀⠘⠃⠀⠀⠀⠀⠞⣙⣭⣄⣈⣉⠉⠑⠲⠀⢀⡾⠹⣿⣿⡿⢻⡁⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠈⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⢸⠳⣄⣹⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⣻⣽⣟⣿⡏⠉⠉⠻⢠⣿⠇⢰⠋⠿⢧⣀⠉⠑⠄⠀⠀⠀⠲⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡞⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠈⠓⠒⠊⠉⠙⠁⢀⣿⠏⣰⠏⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢻⠀⡇⠸⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡴⠣⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠉⡇⠀⢸⡀⠐⠀⢯⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣳⠋⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠀⠀⠉⠘⠀⠀⠀⢳⠀⠀⢧⠀⠀⠸⡞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⠔⠀⠀⠀⠀⠀⠀⡜⢡⠇⠀⡸⠁⠁⠀⠀⠄⠀⣠⠋⠉⠉⠉⠘⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠈⣇⠀⠈⢧⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡵⠃⠀⡰⠃⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡠⠤⠤⠤⠤⠤⠼⠦⢄⣈⣷⣀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠟⠁⣠⠞⣁⣀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡔⣋⣠⠤⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠢⢤⣀⡀⠀⢀⣤⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠦⢤⣀⣀⡤⠴⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠐⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢖⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡻⢿⣿⣿⣷⡄⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⡟⡟⠀⠙⢯⠳⡀⠉⠳⡙⠻⣆⠀⠈⠑⠙⢿⣿⣿⣿⣿⣿ ⣼⣿⣿⣿⣿⣿⣿⠟⠲⢉⡩⣝⣒⢧⢥⣀⠀⠑⠀⢈⢴⣶⣋⡁⢺⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡄⠀⢃⢸⡽⣿⠹⠠⠔⠀⠀⠐⡱⢩⣿⣧⠁⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⢆⠀⠀⠉⠉⠀⠀⠀⠀⠀⠈⠀⠉⠁⠀⢸⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡇⡻⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠘⡌⣼⣿⣿⣿⣿⣿ ⢻⣿⢿⣿⣿⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⢀⢃⣿⣿⣿⣿⡻⣿⣿ ⢾⠏⣸⢿⣿⣿⡿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠀⣌⡞⣿⣿⣿⣿⣷⣄⠻ ⠘⠀⠁⠈⠫⢻⣷⣿⡇⠑⠀⠀⠀⠀⠀⠀⠲⠂⠀⢀⣼⠿⢿⡍⠛⢿⡟⠿⡎⠀ ⠀⠀⠀⠀⠀⢠⡟⠙⢃⠀⠢⠑⠠⡀⠀⠀⠀⠀⡰⢻⠈⠀⠀⠑⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⢠⠾⠀⠀⡸⠀⠀⠑⢄⠀⠁⠐⠒⠈⠀⠘⠄⡠⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠿⣇⠤⡟⢀⠀⠃⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⡏⠑⠊⠍⢐⣂⠠⠀⠀ ⠀⠀⠀⡍⠁⠀⠈⡇⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⠄⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⠶⠶⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣤⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣀⣠⡴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣤⣤⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠱⠦⡴⠀⢀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣬⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⣀⠀⠀⠀⠀⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠈⢷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠠⣭⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡼⠋⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠈⠻⣷⡄⠀⠀⠀ ⠀⣀⣤⣶⠿⠋⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠶⣄⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠉⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢭⡓⠦⣄⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⠀⠀⠀⠙⣦⣀⠀⠀⠀⠀⠀⠀ ⠘⠿⠿⠿⣶⣶⣶⣿⠁⠀⠀⢠⡄⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡈⠛⣦⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⢻⣽⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢿⡇⠀⠀⠀⢸⣷⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠈⠳⣄⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠁⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢸⡇⢰⡆⠀⠀⣿⡆⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠙⢷⣄⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠈⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣇⢸⡇⠀⢠⠟⢿⣦⡀⠀⠀⠀⠙⢷⣄⠀⠐⠶⣤⣤⣀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠈⣿⣷⣤⣤⠉⢷⣦⣀⠈⠙⠳⠶⠶⣦⣲⣤⣾⡟⠻⣦⢀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⢸⡇⠀⡾⠀⠀⢹⡿⣶⣀⠀⠀⠀⠙⢿⡦⣤⣀⣀⠈⠉⠛⠦⠄⢀⣻⣆⠀⠀⠀⠀⠀⠀⠘⣷⣤⡙⢷⡀⠘⠛⠿⠷⠦⠤⢴⣾⠿⣿⣿⣆⣀⣈⣃⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠈⣧⠀⣿⣀⡀⣸⠇⠈⠛⢧⡀⠀⠀⠸⡆⢀⣉⣽⡿⠿⢿⡿⠿⢭⣿⣿⣧⣀⣀⡀⠀⠀⠀⢹⣷⡀⠈⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠹⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢀⣼⠀⠸⣆⢸⣿⣿⣿⣿⣗⠶⢬⣿⡲⠀⠀⣿⠋⠉⢁⣤⣶⣿⣿⣿⡟⠛⠻⣿⣿⣧⡀⠀⠀⠀⠀⠙⣷⣤⣷⣗⠀⢀⣤⣤⣤⣽⣷⣤⡀⠀⢻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⣼⠏⠁⢠⣿⣯⠹⣿⡏⡿⠿⣿⣷⣎⢷⣜⡄⠸⡆⠀⣿⣿⠻⠟⠉⢻⡇⠀⣰⡿⠀⠉⠻⣮⣤⡀⠀⠀⠀⠉⠛⠛⠛⠛⠉⣠⣤⡜⠋⢹⣧⠀⢸⣿⡿⠿⠟ ⠀⠀⠀⠀⣠⡾⣀⣨⣾⡿⠃⢹⠀⢻⣷⡀⠀⠁⢈⡻⡄⠙⢷⣄⠘⠶⣅⡘⠦⣄⣠⡿⣡⠾⠋⠀⠀⠀⠀⢹⣹⠻⢷⣶⣤⣤⣀⣠⣤⣶⠿⠋⠁⠀⠀⠈⣿⣆⠀⠽⠁⠀⠀ ⠀⠀⠘⠿⠿⠿⠟⠛⠁⠀⢀⣾⠀⣼⣿⡉⠛⠋⠉⠀⡇⠀⠀⠈⠙⠛⠒⠯⠿⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣠⣿⠋⠉⠋⠉⠉⠁⠀⣰⠟⡀⠀⢨⣿⣻⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣥⣾⠋⠈⢧⡀⠀⠀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⠾⣻⠃⠀⢰⠀⠀⣶⠀⠀⣻⣧⡤⠀⠈⢻⣿⣹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠁⠀⠀⠈⢳⡀⠀⠘⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⡠⡿⠀⠀⢸⡇⠀⣿⣆⠀⠛⢹⣿⣶⣦⣄⠙⠿⢷⣦⣤⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠹⣆⠀⠀⣀⡁⠀⠀⠀⠠⢄⣲⡇⠀⠀⠀⠀⠀⠀⢀⣽⡿⠀⠀⡅⡇⠀⠀⣿⠀⠀⣿⣿⣶⡀⠘⢻⣿⣿⣿⣷⣤⣈⣻⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠼⠿⣶⠀⠀⠀⣀⣠⣾⠷⣄⠈⢿⣶⠖⠚⠛⢉⡿⠀⠀⠀⠀⠀⣀⣴⡿⠇⠀⠀⠀⢠⡇⠀⢸⣿⣇⢠⣿⣿⣿⣿⣿⣾⣿⡟⢻⣿⣿⣿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠈⢀⣼⣿⣿⣍⠀⢀⣼⣷⣤⡉⠓⠦⠖⠋⠀⠀⠀⢀⣤⣾⣿⣟⠁⠀⠀⣀⣴⠟⢁⣠⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⣾⣿⣿⡿⣿⣿⣻⣿⣿⣿⣿⣿⣶⣄⡀⠀⣀⣤⣶⣿⣿⡟⠋⠉⠛⠿⣿⣯⣥⣴⠿⠛⠋⣠⣾⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⡿⠋⠉⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⣻⣿⠻⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣷⣤⣾⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡗⠀⢀⣼⣿⣿⣿⣿⣿⠿⢿⣻⣿⠛⣶⠏⠘⣇⢹⣷⠆⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡄⣀⣨⣿⡿⠟⠋⠁⢀⣾⡟⠁⣼⣿⠀⠀⠀⠈⣿⠇⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⣡⣾⣿⣿⠿⠟⠉⠉⠉⢻⣇⠈⠙⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⠟⠉⠀⢀⣤⣼⣿⠟⠀⢸⣿⠁⠀⠀⠀⠀⠙⠛⠛⠃⢀⣀⣠⣿⣿⣿⣴⡿⢟⡛⠛⠁⢀⡀⠀⠘⢀⠾⠛⠸⢿⣦⣼⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢼⣾⣧⣀⣀⣀⡀⠀⠀⠀⠀⠀⠈⢢⣄⠣⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡿⡄⠀⠀⢻⠀⢳⣄⠀⠀⠀⠀⠉⠉⠉⠁⠚⢿⣆⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠁⢱⡀⠀⠈⡆⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢧⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢰⡇⢸⠀⠀⢳⡀⠀⠰⡀⠀⠘⢟⠲⢄⠀⠀⠀⠀⠀⠀⠀⢫⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢈⡇⠈⠀⠀⠀⠳⡀⠘⠱⡀⠀⠈⠣⡀⠙⠮⣶⣴⣤⢀⡀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⢰⠀⢢⠀⢸⡄⠀⠀⠀⠀⠀⢰⡁⠀⡆⢀⠀⠀⠀⠀⠀⢷⡄⠘⢷⡄⠀⠀⠙⠢⢄⣀⣉⣻⣿⣶⣷⣤⣇⣤⠤⡄⡄⢠⡄⡄⠀⠀⠀ ⠈⢮⡄⠀⢆⠈⡿⡄⡆⠀⢀⠀⣼⠃⢀⡇⢸⠘⡄⠀⠀⠀⠀⠉⠢⡀⢝⠦⠤⣤⣶⣿⣾⣿⣿⣿⣿⣿⠟⠛⠁⢰⠁⣇⢸⣶⡇⠀⠀⠀ ⠀⠘⢻⡴⡈⢆⣧⣹⡇⠀⠀⢰⣿⡆⣼⠁⠘⣇⡇⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⡽⠟⣉⡽⠏⠁⠀⠈⠁⢠⠙⠒⠚⠒⢿⣿⠏⠱⠀⠀⠀ ⠀⠀⠀⢿⣮⣾⡾⣿⡇⣠⢃⢏⣿⣶⣏⣀⣀⣹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢲⢤⡄⠀⠹⡄⠀⢣⡀⠀ ⠀⠀⠀⣾⠃⢹⠀⠘⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡠⠃⠈⢸⣆⠀⠈⢆⠀⢣⠀ ⠀⢰⠀⢸⠀⡇⠀⠀⣿⡿⢿⣏⠈⠶⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⢛⠿⠒⠒⠂⠉⢹⡆⠀⢸⠀⠀⢳ ⠀⠈⡆⢸⣶⠁⠀⣸⠟⠻⡀⠈⠓⠒⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠉⠀⢠⠃⠠⣤⢤⡴⠀⠀⡇⠀⠸⠀⠀⠸ ⠀⠀⢱⣰⠃⠀⡰⠃⠀⢀⣽⡦⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢠⠃⢀⡜⠀⣼⡇⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⠀⡜⠁⠀⣠⡋⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢟⡿⠉⠉⡟⢀⣸⣿⡀⠀⠀⠃⠀⠀⠀⠀⠀ ⡄⠀⠀⠘⣦⡇⠀⢨⠟⠋⠉⠉⠉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡥⠖⠋⠀⠀⡘⠁⢸⣿⡿⠁⠀⠀⠠⠀⠀⠀⠀⠰ ⢧⠀⠀⠀⢸⣷⠀⢸⠀⠀⢦⣀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠖⠉⠁⠀⠀⠀⠀⢰⢇⡆⡏⠉⠀⠀⠀⠀⠈⠀⠀⠀⡄⠀ ⠈⢇⠀⢀⡾⢻⠀⠀⠀⠀⠀⢏⣦⡄⠼⢿⡢⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣼⡇⡧⠤⣀⡀⠀⠀⠀⠀⠀⠰⡇⠀ ⠀⠈⣶⠋⡇⠘⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡘⡞⠓⠤⢄⡉⠓⠶⣤⣄⣀⠀⠀⠀⠀⠀⣠⣿⢠⢣⠹⣷⣀⡏⢈⡗⠶⢤⣄⣴⠀⡁⠀ ⠀⠀⢸⡄⢻⡄⠳⣌⡳⢄⠀⠀⠀⠀⠀⢀⡼⣷⠤⣀⣀⡀⠉⠲⣄⠀⠈⠏⠛⢿⣶⣶⣾⣿⣿⡏⡜⢀⡏⠙⠒⡶⠴⠒⣺⢋⣯⡇⡇⡼ ⠀⠀⠀⡇⢸⣷⡀⢸⣿⣗⠲⢴⣄⣀⡴⠋⢠⢧⣀⠀⠀⠁⠀⠀⠈⠱⠄⠀⠀⠈⣹⣿⣿⠟⠉⣥⠁⣸⠀⠀⢰⠃⡅⠀⠁⣼⣿⣿⣿⠃ ⠀⠀⠀⣿⣿⣿⢳⣀⡇⠙⣦⠀⠀⠈⠛⣛⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⠀⠀⡶⠀⡇⢰⡠⣏⠀⠀⠀⢺⡿⠋⣿⡇⠀ ⠀⠀⠀⣿⡿⢻⠀⢿⡇⠀⠈⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⢠⠔⠀⠀⠀⠀⠀⠀⢸⣿⢀⠃⠇⢰⠃⡞⢀⣿⣟⣿⣿⡖⠁⠀⢉⣴⠄ ⠀⠀⠀⠉⡇⠈⣆⠸⠃⠀⠀⠀⠀⠀⠀⠀⠈⡟⢒⣦⣤⢀⣒⠥⠔⠀⠀⠀⠀⠀⢠⠏⢿⡞⠀⠀⠋⠀⠀⠈⢉⣽⡟⠉⠁⡐⠾⢿⡏⠀ ⠀⠀⠀⠀⣗⠀⠈⢦⠀⠀⠀⣄⠀⠀⠀⠀⠀⢧⡾⠿⠛⠉⠀⠀⠀⠀⠀⠞⠀⠀⡏⠀⠈⠉⠒⠒⠒⠒⢂⣦⠛⠋⠀⠀⢀⡇⢀⠛⠃⠀ ⠀⠀⠀⡟⠛⢄⠀⠀⠳⣄⡀⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡴⠞⣋⠀⠀⠀⠀⢀⣼⣧⣸⠀⠀⠀
⠀⠀⠗⢝⠦⣠⣊⣽⣿⣷⣦⣤⣤⣤⣄⣀⣀⣀⠀⠈⠓⢄⠀⠀⠀⠀⠀ ⠀⢀⣤⡴⠾⠋⣩⣿⣿⣿⣿⣿⣿⠟⠉⢹⣿⢾⣿⣷⣦⣄⡐⢄⠀⠀⠀ ⡠⠛⢃⠀⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠘⣿⠈⣿⣿⣿⣿⣿⣦⡑⡀⠀ ⠀⠀⢈⣾⢿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠦⣿⣤⣸⣇⣸⣿⢻⣿⣏⢪⡂ ⠀⠀⠜⠉⢺⣿⣿⣿⠀⢀⣠⣀⠀⠀⠀⠋⢹⢧⠀⠀⠈⠻⠛⣿⣿⣦⣷ ⠀⠀⠀⠀⣾⠏⣿⢹⠀⠁⢀⡈⠀⠀⠀⠀⠀⠀⠾⠂⠀⠀⢰⡿⣿⣿⡟ ⠀⠀⠀⠀⠘⠀⢿⢈⠀⠀⠀⠤⠀⠀⠀⠀⣀⠀⠀⠀⠄⠀⠈⢰⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢠⠄⠘⠀⠀⠟⡩⠂⠂ ⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠁⡐⠀ ⠀⠀⠀⠀⠀⠀⢠⣘⣂⠀⠒⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢐⣨⢶⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠊⠉⠀⠇⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢤⣀⣀⠤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠴⣶⡶⠒⠀⠤⠴⠖⠠⢀⠀⠀⠀⢂⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡴⠙⠂⠀⠈⣱⣶⣶⣾⣿⠦⢤⣤⡉⠢⡀⡸⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⡠⠀⢀⠔⠋⠈⠉⠀⠀⠀⠠⡐⡅⠀⡗⢾⣿⣆⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⢉⢀⡔⢁⠀⡀⠀⡀⠀⠀⠀⠀⠰⡘⠁⡆⠀⠹⣿⡷⡆⡸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠏⠀⡼⠀⡗⠈⠇⠸⠃⠀⠀⠀⠃⠀⠸⠀⠘⡝⣿⣱⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠄⠀⡇⠀⡇⠀⢰⠀⡇⠀⡇⠀⢠⠀⠀⡇⠀⣧⠻⠊⣇⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⡇⠀⣧⣀⣤⣷⡀⢠⣧⠠⣿⣿⣿⣿⣾⡏⢸⠀⠴⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⡗⠀⢳⣿⡿⢿⠻⠻⠈⠈⠉⠀⡇⠑⠁⡸⢹⠃⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⣇⠀⠹⠇⠣⢀⣁⠜⠀⠀⠀⠀⠈⠐⠋⠀⣿⠀⣘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢡⠹⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⣦⠳⣦⠘⡐⡤⠤⣀⣀⣀⣀⠠⠄⠒⡵⣿⣡⡪⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⢿⣿⠟⠷⢐⡈⠢⢄⡀⣼⣧⢀⡠⠊⢠⣿⣛⡏⠀⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⣲⣼⣿⣻⢰⡠⡤⣤⣤⣤⣮⣽⣴⣶⣾⣿⢻⡾⢿⠆⠀⠀⠀⠑⠠⢀⠀⠀⠀⠀ ⣿⠉⠉⠛⠋⠉⠭⠿⠿⢻⣯⣟⠛⠙⠚⠉⡸⢹⣽⣿⡆⠀⠀⠀⠀⠀⠈⠂⠄⡀ ⣿⢣⣀⣀⠀⠀⠀⠀⢀⣸⠓⡧⢤⢄⣰⣞⣄⠈⠓⠜⡁⠢⢀⠀⠀⠀⠀⠀⠀⠈ ⣱⠺⣟⣺⡟⣖⣿⠒⢏⢃⠔⠸⢼⠴⠇⢣⢸⠗⠠⣸⠨⡐⢀⠑⠠⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⠟⠛⠋⢉⣉⣉⡉⠙⠛⠻⣿⣷⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⡿⠋⣠⣴⣶⣿⣿⣿⣿⣿⣿⡶⠂⠀⠙⠻⣿⣦⠀⠀⠀ ⠀⢀⣾⣿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⠀⠀⢰⣄⠙⣿⣷⡀⠀ ⠀⣾⣿⠁⢰⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣴⣿⠀⠀⢸⣿⡆⠈⣿⣷⠀ ⢠⣿⡏⢀⣿⣿⣿⣿⣿⣿⡿⠋⢀⣴⣿⣿⣿⠀⠀⢸⣿⣿⡀⢹⣿⡄ ⢸⣿⡇⢸⣿⣿⣿⣿⡿⠋⢀⣴⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡇⢸⣿⡇ ⠘⣿⣇⠈⣿⣿⡿⠋⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠈⠉⠉⠁⣸⣿⠃ ⠀⢿⣿⡀⠸⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⢠⣤⠄⢀⣿⡿⠀ ⠀⠈⢿⣿⣄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⠃⣠⣿⡿⠁⠀ ⠀⠀⠀⠻⣿⣷⣄⠙⠻⠿⣿⣿⣿⣿⣿⣿⠿⠀⠀⣠⣾⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣿⣦⣤⣄⣈⣉⣉⣁⣠⣤⣴⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣠⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⣠⣴⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣼⣿⢋⣿⠋⠀⠀⠀⠀⠀⠘⢻⣹⠀⠀⢿⣿⡄⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠉⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⢾⣿⣆⡀⢀⣰⣿⣿⣿⣧⢴⣒⣲⠶⣶⣶⣴⣾⡋⠀⠀⠘⣿⢿⡄⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⢫⡙⢦⡀⠀⢀⣤⣌⣹⠿⣷⣶⣾⣿⡛⣿⠛⣿⣿⣿⣵⠟⣹⣯⡿⣿⣦⠀⣠⣿⣾⣷⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⢳⣀⠙⢶⣿⣿⢿⡿⣷⣿⣿⡿⠿⣻⣧⣴⣿⣿⣿⣧⣾⠿⢻⣷⢻⣿⡛⠛⢿⣿⡟⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⠀⠀ ⡄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⢿⢿⣇⣹⣿⣿⣿⣿⣿⡿⣿⡟⠉⠉⠉⠁⠀⠀⢻⣾⡿⣟⣿⡿⠋⠀⢀⣾⣀⣀⣀⣀⡀⢠⣾⣿⣿⣿⣿⣿⡄ ⠉⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠈⢿⣟⣷⣮⣼⣿⡟⢸⣯⣽⣿⡿⣱⣿⣿⣿⣷⣦⠀⠀⢀⣀⣙⣿⣿⣿⣶⣶⡆⠀⠁⠀⠀⠀⠀⢀⣿⣿⣿⠉⢙⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠈⣷⡶⣿⣿⣿⢁⣾⣿⣿⣿⢃⡿⢯⣿⣿⡟⠁⠀⣼⣿⣿⣯⣿⣿⣷⣾⡷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣶⣿⣿⣿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠘⡾⢻⡏⡇⣾⢧⣿⣿⡟⢸⡇⠀⠉⠀⠀⠀⢀⡼⠻⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠿⠿⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠸⣾⣹⣷⣿⢸⣿⣿⡇⢸⣇⠀⠀⢶⣶⣶⣦⠀⢀⣼⢿⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣤⣤⣤⣤⣄⣠⠤⠤⠤⡞⣻⣽⣆⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣸⣿⣿⣇⢸⡿⣷⣄⡀⠙⠛⢃⣴⣾⢿⣿⣿⠃⠀⠀⣀⡀⠀⠀⠀⣰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣶⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⡴⣿⣿⣧⢿⣆⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣧⣽⣟⡿⣟⣳⣾⣿⣿⣤⣾⣿⠁⠀⢀⣼⣿⣯⣴⠞⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⣰⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣸⡾⣿⢃⣷⣾⣿⣆⠀⠀⠀⠀⠀⠀⠀⠙⣿⣍⠉⠻⣿⢻⣿⣻⠘⢿⣿⣿⣿⣿⡇⢻⡖⢚⣿⣿⠿⡁⣾⣾⣿⡿⣦⠀⠀⠀⠀⠤⠀⠦⠭⠭⠥ ⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢠⢿⣿⣽⣻⣿⣿⣿⡏⣽⣆⠀⠀⠀⠀⣆⠀⠀⠈⣯⠳⡄⠈⢿⣿⣧⡀⠀⢿⣿⣿⣿⣿⣷⣿⡻⣿⣸⣧⣷⣿⣿⡏⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠀⢀⡀⠛⠦⣽⣽⣿⣿⣿⣿⣼⣟⢘⣆⠀⠀⠀⠸⡄⠀⠀⣸⠀⠹⣄⠈⠻⣿⣿⣷⠘⣿⣿⣿⣿⣯⣘⢿⣿⡿⣹⣿⡿⡿⠀⠀⡇⣀⣴⣿⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⣼⡇⢾⣇⣿⣿⣿⣿⣿⣿⣿⡏⣸⢻⣆⠀⠀⠸⠃⠀⠀⡿⠀⠀⠘⣆⠀⠙⢿⡍⠀⠛⣷⠻⣿⣿⠿⣾⣿⣶⣏⠛⠲⣿⡤⠴⢿⣿⠿⠛⠁⠀⠀⠀⠀⡀⠀ ⣿⣿⣿⣿⣿⣿⣿⡇⠈⢹⣾⣿⣿⣿⣿⣟⣫⣿⣥⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⢦⠀⠈⢻⣄⢀⣿⠀⡇⠈⠧⣌⣿⣿⣯⣽⢞⣋⢉⣀⠀⢙⣆⠀⠀⠀⠀⠀⠀⢀⡴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠙⣿⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠛⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠰⠀⠘⣷⡈⢷⣄⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⣷⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣀⠘⣿⡄⠻⣧⡀⠀⣀⣴⣿⣷⣶⣶⣶⣿⡖⠂⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⠀⠀⢸⣇⢸⣷⠀⠈⠻⠿⡏⠉⠈⠉⠉⠉⠉⢿⣿⡛⠲⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡐⠂⣀⣿⣟⡻⠂⠀⣸⡿⠛⠷⢦⡀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣷⣿⣿⣿⣿⢋⡀⠀⠀⠿⠀⠾⢿⣷⣿⣆⠀⠀⠀⠀⠀⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣯⣷⣄⡀⠀⠀⠀⠀⠙⢿⣿⣷⣦⠀⢷⣰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⣙⡛⢶⡿⢛⡛⠶⢼⣿⣿⣦⣸⣿⣿⠿⠾⢧⣖⡺⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠈⠉⢻⣷⣿⡽⠟⠁⠠⣾⠛⢻⣛⡃⣾⠋⣠⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⢻⣿⣿⣿⣿⣿⣍⡀⠀⠀⠀⠀⠀⢸⣯⡓⠶⠿⢟⣡⣾⡭⢭⣽⡮⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢀⣤⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠟⠉⠁⠀⠬⠛⠓⢶⣆⡉⠉⠉⠉⠛⠛⢿⣿⠟⠁⢰⣾⣿⡷⠀⢽⣿⣇⡀⠀⠀⣀⣤⡶⠿⣯⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠁⠀⠀⠀⠀⠀⠀⠶⠚⠻⣷⠜⠶⣤⣤⡴⠟⠃⠀⠀⠀⠈⠉⠀⣠⣿⣯⣤⡿⢶⣟⠋⠁⠀⠀⠈⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣧⣾⣿⣤⣄⡀⠀⠀⠀⠀⣀⣈⣡⡿⠋⠉⠀⠀⠀⠙⢷⠀⠀⣠⡿⠟⠛⠒⠓ ⠀⠀⠀⠀⠀⢀⣴⣟⢻⣄⠀⠀⠀⠀⠀⠀⠘⢤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣴⠞⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠟⠁⠀⠀⠙⣶⣄⣀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡿⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⠋⠁⠀⠀⠀⠀⠀⠀⢈ ⢀⣴⡾⠋⠀⠀⣀⣠⣴⠾⠋⠉⠉⠛⢶⣤⡤⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣃⣀⣤⡤⠴⠶⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾ ⡿⠉⠀⢀⣾⠿⠛⠉⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠈⠙⠿⢿⣿⣿⣿⡿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⣴⣤⣤⣤⣤⣤⣤⣤⣤⣴⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣯⣤⣬⣧⣀⡀⠀⠀⠀⠀ ⣄⠀⠀⠀⠀⠀⢀⣀⣤⠶⠛⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣶⡶⠶⠞⠛⠋⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⢡⣿⣿⣿⣛⣛⣛⣛⣛ ⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣿⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣾⣿⣿⣿⣿⡟⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠞⠛⠛⠓⠶⣦⡀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠈⢻⣦⡶⠛⠋⠉⠉⠙⠻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡄⠀⣤⣄⡀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠉⢿⣤⡻⠿⠁⠀⠀⠀⣠⣾⡋⢠⣿⣤⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠉⠛⠳⠶⠶⠞⠛⠉⠈⠿⣮⣟⠋⠀⠀⢀⣠⣼⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠋⠉⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢟⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⣀⣀⣀⣀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠁⠀⠈⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢀⣴⠟⠋⠉⠉⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣟⣡⡄⠀⣠⡾⠋⠀⠉⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠿⠋⢠⡿⠁⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠋⠉⢹⠀⣴⠟⠁⠀⠀⠀⠀⠀⠉⠛⠷⢶⣦⣤⣤⣤⣴⠶⠶⣿⠋⠁⠀⠀⠀⢸⣇⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠈⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠉⠻⠷⠶⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣧⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⣻⣿⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠙⢷⣤⣀⣀⣤⣾⡏⠀⠀⢰⡟⠁⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣷⠀⠀⠀⠈⠙⠋⠁⣼⡇⠀⠀⢿⡄⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⢀⣰⡟⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⢘⣿⣦⣄⣀⢀⣀⣴⠟⢁⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠶⠾⠛⠉⠀⠀⠀⠀⠀⠈⠻⠷⠦⠤⠶⠟⠉⠀⠉⠛⠛⠉⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠛⠛⠛⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⠦⣤⣤⣄⣀⣤⣤⡴⠶⠛⠋⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢉⠉⠉⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⠷⢦⣤⣤⣤⣤⠾⠛⢁⠀⠀⠀
⠀⠄⠀⠀⠀⢀⣭⠍⣀⠀⡀⢠⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡨⠓⠒⠛⠊⠀⠑⠂⠐⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡔⠁⠀⠀⠀⠀⠀⠀⣀⠤⠄⠒⠂⠈⠉⠉⠉⠁⠀⠐⠒⠠⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⢄⠀⠀⠀ ⠀⠀⢀⠔⠁⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀ ⠀⡠⠁⣠⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⢠⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀ ⡆⠀⢸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⡤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿ ⡇⠀⠀⠙⠿⣿⣿⠿⠃⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿ ⢆⠱⡀⠀⠀⠀⠀⠀⠀⠀⢈⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉ ⠀⠡⡐⠄⠀⠀⠀⠀⠰⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⠻⢦⡀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠉⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⢀⡠⢄⠀⠀⠀⠀⢀⠔⠉⢀⡠⠔⣄⠀⠀⠀⠈⢢⠀⠀⠀⠀⠉⢢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⡖⢒⡴⣏⣀⣤⣙⣦⡀⠐⢁⣴⡾⢗⣋⠥⠙⡆⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⢻⠓⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⣼⠖⠋⣀⠖⠙⣿⡿⠿⠷⠾⠷⠿⣾⣿⣶⣾⣿⣿⠀⠀⠀⠀⠀⠙⠔⠄⠀⠀⠀⠣⠀⠙⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢠⡗⠚⣉⡠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢧⡈⢧⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠁⠀⠸⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⢠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣌⢧⠀⠀⠀⠀⠀⢇⢳⠀⠀⢀⠀⠀⠀⠃⢣⠀ ⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⢠⣿⠋⠀⣀⡤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⣀⠀⠀⠹⣾⡄⠀⠀⠀⠀⠘⣾⡄⠀⠸⡄⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⢰⠁⠀⠀⠀⢀⣾⠃⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⡀⠹⣇⠀⠀⠀⠀⠀⢹⣷⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢻⠀⠀⠀⠀⠀⠀⢻⡆⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠡⣤⣴⣾⣿⣿⣿⣷⣮⣷⠀⠀⠀⠀⠀⠀⣶⣍⣭⣥⣦⣤⣤⣀⠀⣸⠀⠀⠀⠀⡆⠀⢸⡇⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡜⡟⣾⡿⠋⠁⠀⣠⣶⣿⣟⠻⠀⠀⠀⠀⠀⣸⠿⣿⣯⣉⠉⠉⠛⠿⣿⡇⠀⠀⠀⢰⡇⠀⢸⡇⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⢠⢳⡿⠁⠀⠀⠠⣿⡏⠘⠻⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⣿⡇⠀⠀⠀⢸⠇⠀⠀⠀⢸⠀⠀⣼⠃⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠀⢸⢸⡇⠀⠀⠀⠈⢷⣬⡿⠆⠀⠀⠀⠀⠀⢰⠀⢻⡙⠤⣌⠁⠀⠀⠀⠀⡄⠀⠀⠀⢸⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⢠⠂⡜⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠘⠀⠈⠛⠛⠉⠀⠀⠀⠀⠀⡅⠀⠀⠀⢯⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⢀⠏⢠⠃⠀⠘⢦⣄⣀⣀⣀⣀⣠⠀⢡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⡘⢀⡞⠀⣼⠐⠫⢋⣾⣖⠽⡣⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢐⡶⣒⣶⠋⠁⢸⡀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⠀⢰⠙⡄⠀⠙⠁⠁⠈⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠺⣯⣷⢴⡿⠚⢿⡄⠀⠀⠈⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡘⣸⠀⢀⠏⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡿⣟⢆⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⡇⠀⣼⠀⠀⠀⢈⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣅⣸⣆⠣⡀⡄⠘⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⡇⢀⣿⡀⠀⠀⣸⠀⠈⢲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠊⢹⣿⡀⠘⠆⠀⢹⠀⠈⣦⠀⠀⡄⠀⠀⠀ ⡀⢹⣧⠘⡄⢧⠀⢠⡇⠀⠀⢸⣇⡍⠒⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠉⠀⢀⡴⠃⣸⡟⢳⣾⠀⠘⡆⠀⠘⣄⠀⠘⡀⠀⠀ ⠑⢄⢻⡆⢳⠈⢦⡾⠁⠀⢀⠇⠸⣧⣴⣾⣿⣿⣶⡖⠲⣶⡶⣶⡞⠉⠁⠀⠀⠀⣠⠴⠋⠀⠀⣿⢇⣾⣿⠀⢰⡇⠀⠀⠘⣄⠀⠀⠀⠀ ⠀⠈⠳⡙⠲⢇⠀⠱⣄⢀⡾⢶⠋⠉⣿⣿⣿⣿⡇⡇⠀⠳⣿⠀⠀⣀⣠⠤⠒⠉⠀⠀⠀⠀⣼⣟⡾⢻⡏⢠⡟⠀⠀⠀⠀⣸⡄⠀⠀⠀ ⠀⠀⠀⠙⢆⠈⢆⠀⠈⢿⠀⢸⠀⠐⣿⣿⣿⣿⠀⢣⣴⣾⡿⠷⠿⣿⣄⠀⠀⠀⠀⠀⢀⣼⣿⡟⢀⣼⣣⠎⠀⠀⠀⢀⡴⠙⢬⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡄⠀⢸⡄⢸⡀⢠⣿⣿⣿⣿⣶⡿⠛⠉⣇⣤⡀⡏⠹⣦⣄⠀⠀⣠⠊⣸⢏⣴⣋⠞⠁⠀⠀⢀⣴⠋⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠗⠊⠉⠉⢦⣷⣼⣿⣿⣿⣿⠁⠀⠈⠳⣿⡤⠿⠷⠐⠊⠙⠯⣓⢣⣞⣵⠛⠉⠁⢀⡠⢰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⡀⠙⢦⡀⠐⠀⠀⣽⢸⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠈⠲⡀⢳⡀⠀⠀⠿⠾⣀⣙⢦⣀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠞⠉⢁⠀⠈⠉⠑⠲⠄⠘⣆⠻⣆⢠⠾⠽⠶⠾⠟⢋⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣠⠔⠋⠀⠀⠀⢀⣀⣀⡀⠈⢧⠘⡯⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⣀⡴⠋⠀⠀⠀⠀⣠⠖⠋⣁⣈⣓⣄⠘⠄⡇⠀⠀⠀⠀⠀⠈⢻⣦⣤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣄⣤⣤⣠⣠⣀⣀⣀⣀⣀⢀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢀⡴⠃⠀⠀⠀⠀⢀⡼⢃⡴⠋⠁⢀⣀⣉⣷⣄⠃⢀⣀⡀⠀⣄⠀⠈⣿⣗⠒⠛⠓⠒⠶⠾⣧⣤⣤⣀⣿⠋⠀⠀⠀⠀⠀⠀⣠⠁⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣰⠋⠀⠀⠀⠀⠀⢠⡞⢠⣎⡤⣖⠽⠗⠋⠉⠉⠉⠉⠷⣭⣅⣀⡈⠙⢦⣘⣮⠳⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠳⠶⠶⠶⠶⠾⠧⣤⣴⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⡴⠀⠀⢀⡇⢀⠟⢰⣯⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣍⠉⠉⢙⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠀⣴⠃⢀⠀⢸⢀⡞⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⣼⠟⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠀⠀⠀⡆⠀⠀⠀⠀⢀⡞⠀⡴⢁⡄⢸⠀⠃⣸⣳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⣤⣤⠟⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡇⠀⠀⠀⡇⠀⠀⠀⠀⡞⢀⡞⢡⠞⠀⢸⠀⣀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠀⠀⣾⣿⡄⠈⢧⠙⢦⣌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠁⣸⠀⡇⠁⡀⠀⠀⠰⡳⢋⡶⠃⠀⠀⣸⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⠥⠀⠀⠀⠙⣿⡟⡀⠸⡀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡼⠁⠀⡇⠀⡇⢀⣴⡿⠞⠁⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢰⣿⣿⠟⢁⣀⣴⡶⠖⢛⣀⡗⣿⢇⠀⢧⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⢴⣤⠤⢣⠀⡟⢉⠀⠀⠀⠀⠀⠀⣇⣰⠟⡼⠀⠀⠀⠀⣀⡀⢀⡀⢳⡄⠀⠀⠀⣸⣟⡟⣰⣿⣻⢶⡀⠀⢸⡿⡇⣿⡸⡆⢸⡆⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢷⣼⡀⣇⡟⠀⠀⢠⠀⠀⡀⢿⡇⠀⡷⣶⣶⣾⣿⣿⣿⣿⣿⡄⠯⢦⠀⠀⢫⠈⣰⠟⢸⠷⠾⠃⣠⠟⠁⢳⣇⠇⢱⠀⢳⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡏⣿⣽⠃⠀⠀⠸⡇⠀⡡⢸⢷⣸⠁⠀⠀⠈⠉⢩⣝⡋⠛⠇⠀⠀⠀⠀⠸⠀⠛⠀⠘⢻⣯⠟⠁⠀⠀⢸⡙⣶⡌⡆⠘⡄⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⣇⣿⡇⠀⣸⢤⠀⢹⡀⡇⣼⣾⡟⠀⣀⣤⡶⠿⣿⣛⠛⠻⡶⠀⠀⠀⠀⠀⢰⡌⠉⠉⠉⠀⠀⠀⠀⠀⢸⣇⢳⣇⢱⡀⢷⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡾⠁⢻⠹⡟⠓⣧⢠⡳⣾⣿⣷⣿⣿⠁⢸⡅⠀⠀⣴⢿⣿⡇⢠⡆⠀⠀⠀⠀⢀⡀⠓⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⡘⡿⡈⣇⠸⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡃⣇⠸⡄⡇⠀⣿⡀⢹⣿⣿⣿⣿⣧⠀⠸⠿⠶⢤⣉⣻⡾⠗⠋⠀⠀⠀⠀⠀⠀⠙⠦⣼⠃⠀⠀⠀⠀⠀⠀⡼⠀⡇⢹⢧⠸⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡿⡇⢻⠀⣧⢸⡀⢿⢳⣌⢻⣎⠉⠻⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⡏⠀⠀⠀⠀⠀⠀⠀⡇⣇⢹⡈⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⣇⢱⠈⡇⢹⡈⢇⢸⡆⠘⣷⣬⡉⠳⠈⢧⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⣼⡇⢹⡈⢇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤ ⡈⣿⡸⡄⢻⠀⡇⢸⡀⢳⠀⢸⠙⢿⣶⣾⣿⣷⡀⠀⠈⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠁⣠⣿⡆⠀⠀⢠⡟⢸⠀⣷⣌⣀⣀⣀⠀⠀⠀⠀⢀⣴⠶⠶⠶⠶⠶⠶⡖⠉⠀⠀ ⠁⢹⣧⣧⠘⡄⢹⠀⡇⠘⡄⠀⣇⢸⢿⣿⣟⢿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠧⠤⢾⡫⣾⠀⠀⠀⡼⠀⡌⡇⠸⡆⠸⡇⠉⠉⠉⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠐⠢ ⡀⠀⠹⣜⡄⢿⠘⡇⢸⡀⢧⠀⢻⠀⣇⠻⢿⣿⣯⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠘⠓⣺⠽⠛⠁⠀⢀⣼⡃⠀⡇⢹⠀⢧⠀⢳⣰⣶⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⣄⠀⠙⣧⠈⡆⢳⠘⣇⢸⡆⢈⡇⢻⡀⠀⠉⠉⢛⣿⠿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠻⡅⢱⠀⢧⠀⡇⢸⣀⣼⣿⠯⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣆⠘⡆⣀⢈⢷⣳⣨⣤⡴⠾⢗⠚⡏⠉⡏⣗⠶⡶⢣⠀⡀⢸⠙⡏⢻⠿⣿⣿⣿⣿⡿⣷⣞⢻⢹⡄⢧⠀⣷⠈⣆⠘⡄⣸⡶⣿⣍⣉⣉⣹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⣄⣸⠹⣼⡶⢲⡞⡇⢹⡀⢸⣄⣹⣄⣳⣽⡆⢸⠘⡇⢳⡈⡆⢧⠈⡇⢸⠉⣇⠀⡄⠘⣿⣾⣿⣷⣸⡧⠼⣶⣹⡶⠟⠁⢰⣃⣀⡠⠤⠤⠝⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠛⠛⠚⠧⢼⣶⠛⠋⠉⠀⠀⠀⠉⠙⠻⠷⣽⣤⣷⣗⣿⣷⣿⠾⠶⠿⠖⠓⠒⠛⠛⠋⠉⠀⢢⡀⠘⠿⣄⠀⠀⠀⠻⣤⡤⠤⠖⠒⠚⠳⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠤⠄⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⣷⠖⢛⣻⣦⡀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⢳⣤⠂⠈⠳⣆⠀⠀⠙⠳⢶⣶⣶⠶⠖⠒⠛⠳⣦⣄⠀⠀⠀⠀⣀⣀ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣭⡤⠌⢻⡆⠀⠀⠀⢳⠀⠀⠀⠀⠀⣼⣿⣀⣀⣴⠿⠓⠶⠖⠚⠉⠙⢢⡀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠉⠉⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠶⠖⢋⡇⠀⠀⣠⠎⠀⠀⠀⣀⡤⠶⡟⠋⠁⠉⠑⠶⢤⣀⠀⠀⠀⠀⠉⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠉⢸⠁⠀⠜⠁⣠⠴⠞⡋⠉⠛⠋⢳⡀⠀⠀⠀⠀⠀⠀⠙⠓⠦⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢤⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⣀⡤⠞⠛⢉⠉⠉⢡⠀⠀⠀⠀⠀⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠛⠉⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠴⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⠉⠀⠀⠀⠀⠀⠀⠀⠹⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠋⠀⠀⠀⣠⡽⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠈⠉⠛⢻⠀⠀⡀⠀⠀⡗⢄⣻⡀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⠀⠙⠒⠶⢆⣰⠃⠀⠀⠀⠀⠉⠓⠦⢄⣀⡴⠋⠁⠀⠀⠀⠀⠀⠸⡶⠛⠙⣆⣸⠁⠀⠙⠳⠄⠀⠀⠙⠲⣄⡀⠀⠀ ⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⣟⣹⣦⣴⣾⣅⣀⣴⢲⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠉⠲⢤ ⠀⠀⠀⠀⢀⣤⣤⣶⣾⡿⠿⠟⠛⣷⡆⡾⠚⠿⢿⣿⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⣦⡟⠉⣧⣄⠀⠀ ⠀⣴⣶⣾⢫⡞⠋⠉⠀⠀⠀⢀⣠⣇⣃⣇⠀⠀⠀⠀⠉⠙⠻⢿⣶⣴⣶⣲⡆⠀⠀⠀⣀⣴⠏⠁⠈⠁⠀⢹⠋⣷⡀ ⠀⣻⣿⡇⢸⡀⣀⣠⠴⠖⡻⡿⠿⠿⡻⡍⠛⠓⠶⠤⣄⣀⠀⢸⠿⣿⢿⡾⠃⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳ ⠀⠉⣹⡧⠞⠋⠁⠀⠀⢰⡿⡇⢰⢗⣽⢹⠀⠀⠀⠀⠀⠈⠉⠛⠶⡏⣷⢷⣄⣰⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠦⣿⠀⠀⠀⠀⠀⠀⠘⡟⢽⣓⣺⢵⡿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣿⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⣈⣲⣶⣶⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⣟⡷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣧⣤⡀⠀⠀⠀⢸⠉⠀⠀⠉⠉⠉⢹⡆⠀⠀⠀⢠⣤⣤⣀⢽⡇⠈⠳⢤⡼⢱⣧⡀⠉⠳⣤⣀⠀⠀⠀⠀⠀⠀ ⢸⣿⣽⡿⠁⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢿⣸⣯⣙⣻⡇⠀⠀⠀⠀⢸⣯⣭⡛⢲⢼⡍⠳⣦⣄⠀⠀⠀ ⠈⢻⠷⠶⠶⠤⢄⡀⣿⠀⠀⠀⠀⠀⠀⢸⠇⢀⣠⣄⣀⣉⣛⠛⢻⠁⠀⠀⠀⠀⢸⠻⢿⣿⣿⣿⣿⣲⣷⠌⡟⢶⣄ ⠀⣾⠀⠀⠀⠀⠀⠱⡿⡀⠀⠀⠀⠀⢀⣾⠔⠁⠀⠀⠀⠀⠉⠉⢻⠛⠒⠦⢤⣄⣸⠒⣾⣿⡭⣽⠼⢽⡟⣳⣇⠀⡟ ⠀⣿⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⣴⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⣹⠀⠈⢙⡻⣻⠀⠀⣇⣀⣿⣴⣿ ⠀⡿⠶⠶⠶⠶⠶⢤⣤⣽⣳⣤⣴⣿⣥⡤⠤⠤⠤⠤⢤⣤⣀⣀⣷⣀⣀⣀⣀⣀⣿⣀⣤⠤⢶⣻⣿⡿⠟⣋⡽⠟⠛ ⢠⡇⢰⣷⣶⣶⣶⣿⠀⠉⠉⠉⠉⠉⠉⢹⣶⣶⣶⣶⣶⡖⠀⠀⣿⣭⣿⣻⣟⡿⠉⣠⣴⠾⠛⠉⣠⠔⠋⠁⠀⠀⠀ ⢸⣇⠈⠉⠉⠉⠉⣿⠙⢛⡟⡿⣿⠛⠛⢻⠘⠛⠛⠋⠉⠁⠀⢰⣿⣼⡟⣷⣻⡿⠟⠉⣁⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀ ⠘⣟⠲⠦⠤⢤⣤⣿⣤⣼⣷⣷⣿⣀⣀⣾⣀⣀⣀⣀⣀⣀⣠⡞⣿⢻⡿⠛⠁⣀⡴⠊⠁⡴⠺⢉⣷⣤⡀⠀⠳⠆⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣠⠟⠉⠀⣠⠎⠁⠀⠀⠘⢷⣼⣽⠀⢸⡟⣆⠀⠀⠀ ⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⢀⠔⠁⠀⠀⠀⠀⠀⠈⢿⢛⣷⡼⠷⢼⡆⠀⠀ ⠀⠀⡸⣇⣀⣀⣀⠀⠀⣶⣖⣶⡄⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⢠⡞⠻⠿⣧⡀⠀⠁⠀⠀ ⢀⣼⣻⣿⠿⣿⣛⣿⣿⣿⠿⣿⣷⢶⢶⣶⣶⣶⣶⡾⠃⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⡄⠀⠈⢣⡀⠀⠀⠀ ⢙⣿⡿⣡⠞⠓⠒⠒⠶⠶⠾⠿⠯⠭⢭⣽⣿⣽⣿⡖⠀⠀⢠⡾⠀⠀⠀⠀⠀⠠⣤⣷⠀⣿⠈⣧⣄⠀⠈⠙⣆⠀⠀ ⢾⠎⣰⣯⣭⣍⣉⣉⣉⣉⣁⣀⣀⣐⣺⢿⣟⠒⢲⠇⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⣶⣣⣿⣅⣀⣀⣀⣰⣃⣴⡇ ⠈⣼⢓⠒⠒⠒⠂⠀⠀⠀⠈⠍⠉⠉⣿⣸⡯⠭⣿⡅⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠛⠛⠚⠛⠒⠒⠋⠀ ⢸⣛⣛⡛⠛⢛⣛⣛⣛⣛⣛⣒⣒⣒⡇⣼⡗⣲⣾⣇⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡆⠀⠀⠀⠀⠀ ⢰⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡇⢸⣧⣤⣤⣽⠆⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠐⠂⣉⡿⡷⡖⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠰⠥⠛⣮⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡌⡇⠠⣄⣒⣒⣒⣂⣠⢀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣾⣶⣿⣿⣿⠿⣿⣿⣿⣿⣮⣒⢼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠿⢛⣒⠀⠈⠻⠿⢿⣿⣿⣦⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠈⠉⠀⠀⠀⠛⠂⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠚⢿⣿⡇⠀⠀⠀⠂⠀⠀⠂⠀⠐⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⠀⠀⠓⠋⠭⠝⠀⠁⣸⣿⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⡀⠀⢀⠄⢼⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡎⠀⠀⠀⠐⠀⠀⠀⢸⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠐⡩⠚⡜⢄⠀⠀⠀⠀⠀⢀⠃⣰⠤⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⠠⢎⢋⠁⠐⠀⢧⣀⠑⠂⠠⠤⠐⢁⠴⢸⠀⠀⠁⠈⢳⠠⡀⠀⠀ ⠀⢠⠃⠀⠈⠎⠀⢰⠀⠈⣇⠁⠐⠒⠒⠀⠁⢸⡄⠀⣀⡀⣀⡘⠀⠐⡀⠀ ⠀⡄⠀⠀⠀⠈⡇⠂⠀⠀⠸⠀⠀⠀⠀⠀⠀⣸⢻⣀⢴⣄⣸⠕⠀⠀⢰⠀ ⢠⠁⠀⠀⠐⠄⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠈⠈⠉⠁⢸⡤⡄⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣀⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣤⡘⢿⡋⠉⢰⡄⠀⠀⠀⠀⢸⠀⠀⠉⠙⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⡞⠋⠁⠈⠻⣄⢷⡀⠀⠹⡀⠀⠀⠀⠈⠀⠀⠀⠀⢸⠀⠀⠉⠓⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⢶⣄⡀⠀⠈⢻⣧⠀⠀⢷⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⢰⠏⡿⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢦⣀⠀⠙⡆⠀⠈⡆⠀⠀⠈⠀⠀⠀⠀⡞⠀⠀⢠⣏⡾⠁⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢰⠇⠀⣠⣯⠞⠁⠀⠀⢠⠞⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⢀⣸⣠⠴⠶⠶⠶⢤⣎⣀⠘⠉⠁⣠⣶⣀⡴⠃⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠋⢻⡋⢹⠀⠀⠀⠀⢀⡼⠀⠉⠳⣦⡾⠁⠸⡍⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣏⡀⠀⠀⢻⣾⠀⠀⠀⢀⡞⠀⠀⠀⢠⡟⠀⢠⠀⢿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠀⠉⢢⡀⠀⠛⠀⢀⠠⠯⠤⠤⣶⣚⡿⠀⠀⢸⡇⢸⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠋⠀⠀⢀⡴⠛⣶⠚⣏⠉⠉⠛⠛⢻⣿⠉⠁⠀⠀⣼⠁⢠⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡋⠁⠀⠀⢸⡅⢀⣼⣿⣦⣿⡇⠀⠀⠀⣼⠇⠀⠀⠀⡸⠃⠀⣸⠃⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⡇⠀⠀⢀⣼⡇⠀⠹⠿⣿⣿⣇⣀⣀⣼⠏⠀⠀⠀⣠⠁⠀⣴⠟⠒⠶⢤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢷⣶⡖⣻⠟⡇⠀⠀⠀⣧⢠⠏⢿⡍⠀⠀⠀⣴⠞⣿⣠⣼⢿⡄⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣅⣀⣀⠀⠀⠀⣿⣼⡿⡼⡹⡀⣠⣾⡿⣰⣟⣿⣧⠋⢷⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠛⠶⠶⣿⣿⣧⣧⠷⠿⢿⣿⠇⣿⣍⣿⣿⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⣿⣤⣤⡤⢾⣿⡀⠘⠿⠟⠃⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠶⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣾⣿⣤⣤⣤⡼⢯⣳⣄⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⠁⣿⡋⠛⠓⠦⣄⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⢄⠤⠤⠤⠶⠛⢾⣿⣶⠞⠋⠀⠀⠀⢀⣀⡤⠴⢶⠦⢤⣀⣀⣠⢞⡙⣓⣤⣿⡉⠓⢤⠀⠈⢳⡀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣼⣧⡀⠠⠤⠴⠶⠒⢉⣹⢿⣤⣀⣤⠶⠞⠋⣽⡀⢀⡼⠣⣄⣨⠟⢷⣌⡿⠋⠀⠀⠹⣦⠈⢳⡀⠀⢳⡀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣤⣼⣧⣀⣀⣤⡤⠔⠚⠉⠋⠀⣠⠀⠀⣰⠆⠀⣿⠉⠋⠀⠀⠀⠀⠶⢹⠟⣧⠀⠀⠀⠀⣿⣧⠈⣇⠀⠀⢷⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⢀⣴⣫⠔⢚⠏⢀⡴⢻⠀⢠⡏⠀⠀⠀⢠⣿⣠⣿⣿⣟⣻⣆⠀⠀⠀⣿⢹⠀⢸⠀⠀⠘⡆⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠓⠶⣤⣀⣼⠃⠀⠀⠀⠀⠀⠐⠚⠉⠀⢠⢎⡴⠋⠀⢸⢠⡎⠀⣶⠀⠠⣾⢃⣯⣿⣏⣿⣿⣿⠀⠀⠀⣿⢸⠀⢸⠀⠀⣀⢻⡀⠸⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠶⣄⠀⠇⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⡤⠛⠉⠀⠀⢀⣿⠋⠀⢀⡇⠀⠀⢹⣼⣿⣻⣣⣿⣿⣿⠀⠀⢠⡇⣸⠀⢸⠀⠀⠹⣄⢣⡀⠹⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡏⠀⢼⡆⡄⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠀⠘⡇⠀⠀⠺⠇⢿⣿⣿⣿⣏⣿⠀⠀⢸⡇⣿⠀⢸⡆⠀⠀⢿⣆⠳⣄⠘⢧⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡿⠀⠀⣀⠽⢷⡀⢹⡈⠳⣆⠀⠀⠀⢰⠀⠀⠀⢶⡀⠀⠀⠀⠀⠀⠀⢀⣷⠀⠀⠀⢰⠄⢹⣿⢻⣾⡟⠀⠀⢸⡇⣿⠀⠈⢷⠀⠀⠘⢿⢧⠘⠶⡀⠉⠓⠶⢶⡆ ⠀⠀⠀⠀⢸⠃⠀⠈⠑⠒⢾⡓⠲⠷⠖⠋⠛⠲⣤⣼⠉⠓⠢⣌⣧⣀⣤⣤⡤⠶⠿⠏⣹⣧⣤⡤⠤⠤⠤⢉⣀⣼⠁⠀⠀⠘⣇⢸⠀⠀⠘⢧⠀⠀⠘⢧⠑⣄⡈⠳⢤⣀⣰⠇ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⢸⠒⠤⠤⢌⣻⣇⢀⠠⠤⠤⢤⡾⠉⠘⢧⡀⣀⣀⠀⠤⣤⠏⠀⠀⠀⠀⣿⠙⡇⠀⠀⠈⢷⡀⠀⠈⢷⡀⠙⢶⣤⡾⠋⠀ ⠀⠀⠀⠀⢸⡇⠀⣀⣴⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⣸⣄⣀⣀⣀⣸⣿⡇⠀⠀⢀⣛⣷⠀⠀⠈⢷⡉⠀⠀⠀⠿⢦⣄⠀⠀⠀⠸⣧⢿⡀⠀⠀⠀⠙⢦⡀⠀⣹⣦⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⢦⣿⣭⣭⠷⢺⣿⣿⠒⠈⣉⡥⠄⡇⠀⠀⠀⢳⡤⠔⠂⠀⠉⠹⣄⠀⠀⠀⠻⣎⣧⡀⣀⣀⣠⣴⠿⠚⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⢲⡧⠤⠼⢛⣻⣿⣿⠛⠉⠀⠀⠀⡷⠀⠀⠀⠀⢻⡤⠄⠒⠉⠁⢹⡄⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢻⡗⠒⠚⣉⣹⣿⣿⠤⠄⣀⣀⣀⡇⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣹⡋⠉⢉⣩⢽⣿⡏⠀⠀⠀⠈⣽⠁⠀⠀⠀⠀⠀⢸⡏⠑⠒⠒⠢⢼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡏⠉⠉⠀⠀⣸⡟⠀⠀⠈⠙⢢⡏⠀⠀⠀⠀⠀⠀⢸⡗⠂⠤⢤⣀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⣶⣄⡀⠀⣿⣷⣶⣄⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⣸⣁⡀⠀⠀⠈⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣀⠈⠻⢿⣿⣾⣿⣿⣿⣿⡶⠞⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣶⣄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣄⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⠷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣛⢿⣿⣿⣿⣿⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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