Begging For Forgiviness Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀⠀⠀ ⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣇⠀⠀ ⠀⢀⣿⡿⠁⠀⠘⠳⠶⠶⠶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠷⠶⠶⠶⠃⠀⠀⢻⣿⡆⠀ ⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀ ⠀⣿⡿⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢸⣿⡇⠀⠀⠀⠀⠀⣾⣿⣿⠁⠀⣼⠏⠻⣿⡆⠀⠀⠀⠀⠀⠀⠀⣾⡟⠉⣿⠀⠈⢿⢿⣷⡄⠀⠀⠀⠀⢸⣿⡇ ⠸⣿⣇⠀⠀⠀⠀⠀⠙⢁⡏⠀⢀⣿⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢹⡇⠀⢸⡏⠉⠁⠀⠀⠀⠀⢸⣿⡇ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⢸⡇⠀⠸⣧⠀⠀⠀⠀⠀⠀⣼⣿⠃ ⠀⢹⣿⡇⠀⠀⠀⠀⠀⣼⠇⠀⢸⡇⠀⠀⠀⢀⠖⠉⠁⠀⠉⠓⣄⠀⠀⠀⠀⣷⠀⠀⣿⠀⠀⠀⠀⠀⢠⣿⡿⠀ ⠀⠀⢿⣿⡄⠀⠀⠀⠀⣿⠀⠀⣼⠀⠀⠀⠀⣧⣤⣤⣤⣤⣤⣤⣼⡆⠀⠀⠀⣿⠀⠀⢿⡆⠀⠀⠀⢀⣾⣿⠃⠀ ⠀⠀⠘⢿⣿⣄⠀⠀⢠⣿⠀⠀⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢻⠀⠀⢸⡇⠀⠀⢀⣾⣿⠃⠀⠀ ⠀⠀⠀⠈⢿⣿⣦⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢸⠀⠀⢸⡇⠀⣠⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣷⣼⡇⠀⠀⣿⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⣿⠀⠀⢸⣧⣾⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⣿⠇⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠘⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡶⠶⠟⠋⠀⠀⠀⠈⠻⣦⣤⣀⣤⣤⣤⠴⠶⢶⣤⣤⣀⣠⣴⠟⠁⠀⠀⠀⠈⠛⠷⠶⣤⣄⠀⠀⠀ ⠀⠀⠀⠸⣷⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣦⣤⣤⣤⣤⣬⠿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⣤⣴⠶⠛⠋⠉⠁⠉⠻⣦⣄⡀⠀⣀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⢀⣴⠀⠀⢀⣀⡴⠶⠒⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠓⠂⠀⠚⠁⠀⠐⠛⠁⣀⣤⣄⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠠⠖⠛⠛⠒⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠚⠉⠀⠀⡀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⣤⣄⣀⡀⠰⠦⢤⣄⡀⠠⠇⠀⠀⠀⠀⣀⣤⣶⣛⣁⣀⣀⡀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡄⣴⣾⠛⠛⠛⠛⢿⣷⣦⣄⠈⠙⠂⠀⠀⡠⠖⢋⣵⣿⣿⠿⠿⠿⠿⠿⡆⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠲⣤⣀⠀⠈⡛⢿⣷⡄⠳⣶⠖⢃⣴⡿⠛⣭⣤⠴⠶⠋⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢠⣤⣤⣭⣭⣭⣥⣄⡙⣷⠀⠀⢠⣿⠋⠀⣤⣶⣶⣤⣤⣤⣠⣤⣤⡀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣠⣾⣧⣤⣤⣤⣀⣨⣽⣭⡞⠀⠀⠀⠳⡄⠳⣿⡛⠻⠿⠿⣷⠾⠉⢹⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠈⢯⠙⠻⣤⣠⣤⠶⠞⠋⠀⠀⠀⠀⠀⢻⡀⠀⠉⠙⠛⠛⠁⠀⢠⡞⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⢀⣼⡆⠀⠀⢀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⡼⢇⠀⠀⠀⣴⣲⠇⠀⠀⠀⠀⠀⠀⢈⡷⢶⡄⠀⠀⠀⡿⠁⣷⢀⣰⣿⡟⠛⠛⠲⢦⣤⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣿⣖⡀⢰⠃⠘⣆⣀⣼⠛⠻⣶⣦⡀⠀⣠⢶⣿⡿⠁⠙⣿⡄⠀⢀⡇⢀⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠉⠛⢷⣤⡀ ⠀⠀⢀⣤⠶⠛⠉⠘⣿⣿⣿⣶⠇⢸⠋⣿⠃⠀⠀⠀⠈⠋⠘⠃⠀⠀⠀⠀⠀⢨⡿⠀⣸⠇⣸⣿⣿⡧⠀⠉⢻⡆⠀⠀⠀⠀⠀⠀⠈⠻ ⣴⠾⠋⠀⠀⠀⠀⠀⠁⠸⢹⣿⣷⣿⠀⢻⡀⢠⣴⠶⠖⠒⠒⠒⠒⠒⠒⠲⣤⣼⠃⠀⣯⢀⣸⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⢻⣿⡄⠸⢷⣿⣿⣷⣦⣤⣤⣤⣶⣾⣿⣶⣦⣹⠀⠀⢸⣘⡿⢇⢨⡇⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠘⣿⣷⡆⢸⣿⣿⡟⠻⢿⣿⣿⣿⡿⠟⣿⡟⣹⠀⠀⣾⡿⣧⣀⣾⠃⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣿⣻⣷⡄⣿⣿⣷⠀⠀⠹⡿⠋⠀⢠⣿⠃⣿⣀⣿⣿⣷⠿⠋⠁⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⣿⣷⣿⠻⣯⣀⣀⣀⣀⣀⣠⡽⠋⣰⣇⣿⣿⠟⠁⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠷⣮⣍⠉⠉⠉⠉⠁⢀⣴⣿⣽⡏⠃⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣄⣏⠓⠒⠶⠶⠟⠋⣤⣾⠟⠟⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣇⣶⣼⣶⠿⢿⠛⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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🥹 ѕσяяу 😟 𝕤𝕠𝕣𝕣𝕪 🥲 𝓼𝓸𝓻𝓻𝔂 😭 ₛₒᵣᵣᵧ 😔 s̷o̷r̷r̷y̷ 😞 ₴ØⱤⱤɎ 😥 s̖͙̒̅ᴏ̨͔ͭ̋ʀ̤̪̂ͅʀ̴̶̹̳̻̊ͫͩʏ̣͕͒̌ͮ 😓😞
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠿⠿⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡄⠀⠀⠀ ⠀⠀⢀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀ ⠀⠀⣾⣿⡿⠁⠀⠀⣄⡀⠀⠀⣀⣀⣤⣶⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣤⣄⣀⡀⠀⠀⣀⣄⠀⠀⢹⣿⣿⡄⠀ ⠀⣸⣿⣿⠁⠀⠀⠀⠉⠛⠻⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠟⠛⠋⠁⠀⠀⠀⢿⣿⣷⡀ ⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇ ⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿ ⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠛⠛⢻⣿⢿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⢿⣟⠛⠛⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⡟⣹⡇⠀⠀⣸⡏⠀⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠈⣿⠀⠀⠈⣿⣹⣿⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠉⢁⣿⠁⠀⠀⣿⠁⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⣿⡆⠀⠀⣿⡇⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠲⠦⣄⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡏ ⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⡇⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠈⠙⣆⠀⠀⠀⠀⠘⣿⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃ ⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⣿⡇⠀⠀⠀⠀⣼⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⡄⠀⠀⠀⠀⣿⡀⠀⠀⢿⡇⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀ ⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⢠⣿⠀⠀⠀⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⢸⣧⠀⠀⠀⠀⣰⣿⣿⡏⠀⠀ ⠀⠀⠀⠘⣿⣿⣷⡀⠀⠀⢸⡏⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⠀⠀⠀⣴⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣄⠀⢸⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⠀⢀⣾⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣾⡇⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡇⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠘⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣤⣾⠿⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠹⢷⣦⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣶⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠶⠶⠾⠿⠿⠟⠛⠛⠛⠛⠻⠿⠷⠶⠶⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⣿⡆⠀⠀⠀ ⠀⠀⠀⠘⢿⣷⣤⣤⣴⣶⣶⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣶⣦⣤⣤⣴⡾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⢀⣀⣤⣴⡶⠟⠛⠉⠉⠉⠙⢿⣦⣀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠷⠶⠶⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⢠⣤⣤⡤⣀⣀⣤⣀⡀⢀⡀⡀⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠚⠉⠉⠀⠀⠈⠉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠏⠀⠀⠠⠤⠄⣀⠀⢠⠆⢀⡤⠒⠂⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠀⠀⠠⠔⠢⠄⠀⠀⡀⠀⠀⠔⠋⢁⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⢀⣤⠶⢦⣤⣑⠲⢄⠃⠀⡠⣔⣾⣵⣶⣤⡀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡄⠁⠢⢤⣈⡙⢷⡔⠲⢊⡴⠛⠥⠔⠂⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣠⣎⣓⣒⣒⣖⡇⠀⠻⡠⣾⠿⠿⣷⠖⢲⠀⢸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠘⡍⠓⠐⠒⠉⠀⠀⠀⠣⠀⠉⠉⠁⢠⠋⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡃⠀⡘⡀⠀⣰⡔⠀⠀⠀⣀⡢⣆⠀⠀⠎⣇⣠⢞⠒⠢⠤⣀⡀⠀ ⠀⠀⣠⠴⠺⣿⣦⡁⡔⡾⠉⠙⠳⠠⠚⠛⠀⠙⡆⢸⢠⣿⡟⠓⢦⠀⠀⠀⠙⠦ ⠖⠋⠀⠀⠈⠙⣽⣷⡇⢧⣠⣖⠒⠒⢒⣒⣒⢼⠁⢣⣬⠿⡇⠀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⠸⣷⡈⣿⡟⠿⣿⣿⠿⣿⢻⠀⣸⢯⣡⠇⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠑⣽⣷⣻⣿⠀⠘⠃⢠⡿⡸⣬⡿⠋⢁⡴⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣾⡪⣍⠉⢉⣉⠴⣿⡟⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣧⣩⣭⢥⣼⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢂⡤⠂⢠⠞⠁⢀⠀⠀⢀⣦⡞⠀⠀⢠⠀⡄⠀⠀⠀⠀⠀⠀⠀⢰⠀⡇⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⡵⠉⠀⡴⠋⠀⣰⠋⠀⢀⣾⡿⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢸⠐⡆⠀⠀⢇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡿⠋⠀⢀⡜⠁⠀⡰⡇⠀⠀⡼⢃⡇⠀⠀⣾⠇⢠⠀⢠⠀⠀⠀⠀⠀⣀⠇⠀⠀⣧⢱⢀⠀⢸⡄⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡟⠁⠀⢀⡞⠀⠀⣰⡻⠀⠀⢰⠃⢸⠀⠀⠀⡇⠀⠀⡄⢸⡀⡀⠀⠀⠀⣿⠀⠀⠀⠘⣆⢿⠀⠀⣷⡄⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠁⠀⠀⡜⠀⠀⢠⣫⡇⣀⣀⡏⠀⢸⠀⠀⢸⣧⡦⡼⡇⠸⠳⡍⠳⣄⠀⢿⠀⠀⠀⠀⢹⣌⣧⠀⠸⣷⡀⠀⠀⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣸⠁⠀⠀⣿⣻⠀⠀⣹⠉⠉⢻⣸⠉⣹⡇⠇⠀⢳⡀⡇⠀⠀⠈⢻⣿⠤⣄⡀⠀⠘⣟⣎⢇⠀⠹⣷⠀⠀⠀⠘⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⡇⡀⠀⢸⡏⣿⠀⢰⣷⣄⣄⣄⣿⡀⠉⡟⢻⠀⠈⣇⢸⣇⠀⠀⣿⢻⠀⠀⠉⠲⢤⣿⣎⢯⣧⡀⠹⣧⠀⠀⠀⠈⢧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣿⡃⡇⠀⣿⡀⣷⣶⣾⠿⣿⣟⣻⣿⣿⣷⣻⡈⡆⠀⢸⣆⢻⡀⠈⣿⠹⡄⠀⠠⠄⢀⣸⡛⣎⣿⢟⣆⠘⣇⠀⠀⠀⠀⠑⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⡇⢀⡿⠁⡟⢛⢹⣤⣿⣿⡟⠹⠿⢿⡏⠓⢧⠀⠘⣏⢦⢳⡀⠸⣼⣿⣿⣾⣷⣶⣀⣳⠈⢾⣇⠑⢷⣾⡀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡇⢸⠃⣀⣷⢸⣼⠛⠁⠀⠖⠒⠚⠛⠁⠀⠀⢣⡀⢹⣦⠀⠙⠄⠃⢸⣿⣯⣿⣿⣿⣿⣷⠢⣿⣧⠀⠈⢯⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⡇⢸⠀⠘⢻⡘⣿⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠘⠳⠄⢰⡉⣿⣯⡽⠛⠙⠿⠟⢿⣿⠺⣷⣵⠄⢸⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢠⣾⢀⡆⢠⣷⡸⡆⠀⠀⠀⠀⠀⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢉⠓⠲⢦⣤⡟⠓⠠⣌⣻⠏⠰⣿⠄⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢁⡴⢻⣿⡿⡄⠀⡇⠑⠿⣄⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠲⡀⠉⠐⠢⣤⠃⢀⡴⠃⡤⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣠⠊⠀⡎⠈⣿⢣⢺⠃⠀⠀⠈⠃⠀⠀⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⠤⢬⡴⠋⣠⣿⢁⣆⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠃⡴⠃⠀⢸⠁⢾⠉⠻⡟⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣠⠾⢃⣇⣜⣾⣰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣥⡼⡿⠁⠀⢰⡟⠀⢸⠀⠀⠘⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣠⠞⠁⠀⣼⣿⠟⠋⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣹⠁⠀⢀⡞⣵⠀⢸⡀⠀⠀⢹⡀⠀⠀⠀⡶⠦⢤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡋⣠⠞⠁⠀⠠⠞⠟⠁⠀⠐⠀⠰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⡞⢠⣷⠀⢸⣧⠀⠳⣀⢷⠀⠀⠀⠉⠉⠉⠉⠛⠓⠤⣍⣙⠓⣦⣄⡀⠀⠀⠀⠀⠀⠀⡼⢙⣿⣳⠀⠀⠀⠀⠛⢲⣤⠤⡞⠉⠐⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡸⡀⣼⠁⡜⠘⣆⠀⢏⢧⣀⠙⢯⣷⡀⠀⠀⠀⠉⠛⠲⠤⠄⠀⠈⠙⠓⠽⠟⠀⠀⠀⠀⠀⡾⢀⠞⠀⠀⣀⡼⢤⣀⡀⠛⠋⣀⡸⠦⣴⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣇⢧⡇⢠⠃⠀⠈⠧⣈⢧⡙⠲⠤⣈⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠈⢀⡤⠚⠁⠀⠀⠀⠩⡟⢛⢇⠀⠀⠈⢦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡼⡇⢸⠀⠀⠀⠀⢀⣙⣻⣦⣀⡀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⡇⠈⠳⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠈⣧⠶⠒⠉⠉⠀⠀⠀⠘⠫⢅⣀⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣾⣿⡿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⢹⣷⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⢧⡙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠦⠤⠤⠴⢶⣶⣶⣿⣿⣿⣿⣿⣿⡿⠋⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⢸⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⡜⠀⠙⠦⡙⠦⣄⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⣰⢿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⣹⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⣸⠃⠀⠀⠀⠈⠓⢦⡙⠲⢤⣀⢠⡴⠋⠀⠀⠀⠀⠀⠀⠃⠈⢻⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣤⣄⡴⠛⠁⠀⠀⠀⠀ ⠄⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⢀⣾⡕⠈⠓⢦⣈⠙⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⡰⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠉⠒⠻⢥⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢀⣞⡞⠁⠀⠀⠀⠈⠳⣤⡀⠉⠲⣄⠀⠀⠀⠀⡼⠃⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣼⡞⠀⠀⠀⠀⠀⠀⠘⡇⠙⢦⡀⠀⠑⢄⠀⡤⠁⠀⣸⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢹⣄⠀⠈⠻⡁⠀⣰⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⢠⡇⢀⡴⡻⠙⡆⠀⠀⢣⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡁⠀⣠⠂⠀⠀⠀⠀⣰⢡⠊⠥⡆⡘⢿⣧⠀⠀⣿⣼⡄⠀⢸⠹⣦⣻⣿⣿⢿⣿ ⣵⣾⣿⠀⠀⣰⠀⢠⣿⡞⠛⡲⣴⣧⠘⣾⣄⠀⡗⠈⣧⡀⣘⡕⢘⣹⢿⣯⣽⣿ ⣿⣿⠇⠀⢰⠵⠀⡼⠿⢀⣿⣿⠜⠣⢀⡿⢸⣦⠟⣹⣿⡍⠙⢿⡜⡿⡾⢱⣿⣿ ⣿⣿⠁⠠⠊⢦⠞⢀⣿⡎⠂⠋⠀⠀⠀⠁⠈⠄⡀⡿⣿⠟⠀⢸⢹⡇⣿⣶⣿⣿ ⣿⣿⠇⡇⢠⡇⠀⣾⣧⠑⠄⠀⠀⠀⠀⠀⠀⠀⠈⠑⢒⠖⠠⢅⡾⡇⣿⣿⣿⣿ ⡏⡟⢸⠇⢸⡄⠀⣿⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢀⡌⡼⢡⣷⠋⢀⣼⣿ ⢀⡇⣾⠐⡞⠉⠑⢹⣿⢃⠀⢠⣤⠄⢀⠀⠀⠀⠀⠔⠍⠁⣱⢁⣜⣇⣴⠾⢛⣿ ⠈⢿⣿⠈⠀⠀⠀⠈⡿⡼⡄⠀⠀⠈⠲⠇⠀⠀⠀⡎⠀⣸⣼⣿⡿⠛⠁⣠⣾⣿ ⠀⠀⠩⢄⠀⠀⠀⣠⣿⣿⣄⠀⠀⠀⠀⠀⢠⢎⠌⠀⠀⠏⠁⠁⠀⢀⣶⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠉⣹⠉⠉⡉⠉⢩⡟⠉⠉⢉⡟⠉⠙⠉⠉⠉⠉⢉⡏⠙⣿⡍⠉⠉⢻⡉⠉⠉⠉⢩⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣰⠃⡠⠊⠀⣰⠋⠀⠀⠀⣼⠃⢸⡄⠀⠀⠀⣀⣾⠀⠀⠘⣷⡀⠀⠀⣇⠀⠀⠀⠀⣽⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢠⣿⡿⠀⢰⡼⠁⠀⠀⢀⣼⡟⢀⣾⣿⠀⠀⢀⣿⡉⠀⠀⢠⠹⣧⠀⠀⢹⣇⠀⢸⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠀⠀⡿⠁⠀⠀⣠⣞⣱⣧⡾⢾⡿⠀⣸⢸⠟⠉⠒⠢⠤⣤⣽⣧⣀⣸⣿⠀⢸⠀⠀⢿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⢻⢉⣿⡄⢀⠤⡗⠒⢉⣽⠋⠉⠁⠞⠀⢨⡇⠀⡇⡏⠀⠀⠀⠀⠀⠀⠈⢹⣿⣉⣿⡗⢺⢄⡀⢸⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠋⠁⠀⢸⣿⣾⡇⠀⣀⣧⣴⡿⢿⣿⣿⣿⢶⣦⢸⠀⢸⢳⠃⠀⠀⠀⢀⣴⡾⣿⣿⣿⣿⣿⣷⣴⠀⠰⢾⠀⣿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⡟⠁⡟⢿⡏⠁⢰⣿⣿⣿⣿⣧⠈⡏⣠⣿⡏⠀⠀⠀⠀⠞⠁⣰⣿⣿⣿⣿⡟⠘⣻⡟⠀⣿⣸⣿⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠳⢰⣿⠈⢃⠀⢸⣿⡿⠿⢿⡟⢀⡱⢻⡟⠀⠀⠀⠀⠀⠀⠀⣹⣿⠿⠿⣻⠁⠀⡟⠀⠀⣿⠟⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠇⡼⢼⡆⢸⠀⣈⣻⡿⠿⠟⣠⠋⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠷⠶⢿⠆⢰⡇⠀⠀⣿⣿⠃⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣠⡇⠊⢳⡈⡇⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⡞⠀⣾⣇⠀⠀⣿⠏⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⣿⢻⣷⢾⣯⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠏⠀⢨⡏⣽⠀⢰⡏⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢿⠀⠹⣷⣽⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢱⣿⠀⣾⣧⣤⣀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⢸⠖⠒⠛⠾⢷⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢃⣿⣿⡄⣿⡇⠉⠻⣷⣦⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡀⠘⡆⠀⠀⢰⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣾⠟⠁⣷⡿⢹⠀⠀⠘⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⡿⢡⢿⡁⢣⠀⢡⡄⠀⣾⠇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣠⠞⠁⠀⠀⣿⡇⠸⡇⠀⠀⢸⡙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⠏⢸⢡⠇⢸⡇⢀⢧⠈⢧⣸⠏⠀⠀⠀⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⢰⣿⡄⠀⢹⠀⠀⠀⣷⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⠸⡌⠸⠀⠀⣷⠏⠀⠷⣌⢯⠀⠀⠀⠀⢀⣷⠈⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⣯⣀⠀⠀⠀⣾⢇⢱⠀⢸⡀⠀⢠⠇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡄⢻⣧⠀⢤⠸⣇⣰⠞⠉⠳⢷⣄⣠⣶⢍⣽⠀⠀⠀⠀⠙⠲⠤⣀⡤⠖⠋⠁⠀⠀⢠⡇⢠⠛⡄⣸⠇⠘⡆⢣⣀⠇⢠⣞⣴⡟⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠤⠤⠼⢦⠙⢄⠘⣆⠹⣧⣀⣀⣤⣤⡾⠉⠀⡼⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠎⠀⣸⣧⣄⣀⣘⣆⢹⠖⠛⣩⡞⠀⢸⣧⣀⣀⣀⠀⠀⠀⠀⠀ ⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢬⠳⣯⢦⣻⣀⣾⣿⠟⠀⠀⠀⣷⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠠⠞⠁⢹⡛⣏⣐⣹⠇⠀⣼⢉⠂⠀⢸⢿⡇⠀⠀⠉⠙⠒⠤⣄
⠁⠀⠀⠀⡀⣹⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⢀⡾⣉⣀⣸⠄⡾⢹⣴⣧⡀⠀⠀⠀⣸⢳⣸⡄⠀⠀⠀⢸⠉⣻⣆⢏⢿⣿⣿⣿⣿⣿⣿⣿ ⡆⠀⢠⣾⣷⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⢠⣯⣀⡀⠉⢹⡀⡇⠀⢻⢻⣧⠀⠀⠀⢸⠛⢳⣿⠒⠒⠀⠼⣇⠈⢻⣿⣼⣿⣿⣿⣏⣿⣿⣿ ⣷⣶⣾⣿⡏⠀⠀⠀⡀⣰⠀⠀⣄⣼⣿⡾⠛⠛⠻⢷⣮⡇⣧⠀⠸⣿⣿⣀⠀⠀⣸⠒⠒⠿⢧⣀⣀⠀⢿⠑⠀⣿⢸⠻⣿⣟⣼⣿⣿⣿ ⣿⣿⣿⣿⠇⠀⠀⢠⢇⡏⠀⠀⣿⣼⡿⠀⢀⣶⣽⣷⡘⣿⡏⢧⠀⣿⡏⢻⡆⢀⣏⣶⣾⢿⣿⠻⠷⣿⣼⣦⣄⣻⢸⣀⣟⡿⣽⣿⣿⣿ ⣿⣿⣿⡟⠀⠀⠀⢸⡼⢻⠀⣴⠟⠛⡇⠀⢸⣿⣿⣻⡇⠈⠳⡀⢹⣿⠀⠘⣿⡾⠋⠁⣴⣥⣿⣷⠀⠀⠻⣿⣆⢸⠟⣿⠟⠀⣿⣿⣿⣿ ⣿⣿⣿⡏⠀⠀⣠⠞⣠⣯⣰⣃⠀⢸⣷⣄⡘⣬⣽⡋⠀⠀⠀⠈⠈⠁⠀⠘⢡⡇⠀⢸⣛⣿⡟⣿⠃⠀⠀⢹⠉⣾⠀⢸⣷⣶⣾⣿⣿⣿ ⣿⣿⣿⡇⠀⢰⠁⠀⢸⡿⠋⠀⣠⣾⡿⣦⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣜⣦⡨⠟⠃⢀⡀⢀⠞⢰⣿⡆⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠃⣿⠀⢀⣟⠀⠀⠸⣿⣿⣇⠈⠳⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠳⠒⡻⠒⢭⢩⡀⣿⢻⡇⢻⣿⣿⣿⣿⣿⣿ ⡿⢹⣿⡇⣸⣿⠀⢸⣿⠀⠀⢸⣿⡏⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⣰⠀⢹⠏⢸⣧⣸⠟⠉⠉⣿⣿⣿ ⡇⠸⡿⠀⣿⠇⠀⢸⣿⢀⡀⢸⣿⣇⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢀⣀⡟⢐⡟⠀⣾⣿⠁⠀⠀⣰⣿⣿⣿ ⢠⠀⡇⢠⣿⣠⠔⡾⠙⠉⠙⠎⢹⣿⣿⣧⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢃⡞⠉⠉⣽⡾⠀⣸⢳⡇⢀⣰⣶⣿⠿⢿⣿ ⠘⡄⣧⣼⣿⠀⠰⠃⠀⠀⠀⠀⠈⣿⡿⠸⣆⠀⠀⠿⠯⢽⣒⠓⠢⡀⠀⠀⠀⠀⠀⡜⢡⠟⠀⠀⡴⢱⣇⣾⣥⣿⣿⣿⠟⠋⠈⣄⣿⣿ ⠀⢣⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⣠⣿⡄⠀⠀⠀⠀⠈⠙⠶⠿⠀⠀⠀⠀⡼⢀⡏⠀⠀⢸⣥⣾⣿⣿⣿⠿⠛⠁⠀⢀⣼⣿⣿⣿ ⠀⠈⢎⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢁⡞⠀⠀⢀⣿⠟⠛⠛⠛⠁⠀⠀⠀⠰⣾⣿⣿⣿⣿ ⢀⢀⠈⠒⠒⠦⣀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣡⠞⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⢰⠀⠀⠀⠀⢻⡆⠹⡆⠀⠀⠀⠀⠆⠀ ⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⣷⠀⠀⠈⡆⡀⠀⠀⠘⣷⠀⢳⠀⠀⠀⠀⠀⢀ ⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⠀⠀⣼⢰⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⢻⣇⠀⠀⣿⡹⡀⠀⠀⢹⠀⠘⡀⠀⠀⠀⠀⢸ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⢰⣿⠀⣇⠀⠘⡄⠀⠀⠀⠀⠀⠀⣻⠀⡞⣶⠀⢼⣿⡆⠀⣿⣧⣷⡀⠀⢸⡇⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⣿⡼⠂⢻⡄⠀⠇⠀⠀⠀⠀⠀⢀⣿⢰⠀⢹⡄⠈⡿⣷⠀⡟⠸⣿⡏⠀⠀⣇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⠀⢀⡠⣴⣿⠊⢉⣏⠀⡇⠘⣇⠀⠸⠀⠀⠀⠀⢠⣿⣿⣿⠀⠈⣧⠀⡇⣟⡀⠁⠀⡏⠰⠀⠀⣿⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠁⠀⡸⢸⠀⠸⡏⠀⢱⡆⢹⡆⠀⠀⠀⠀⢀⣿⣿⢻⠏⠀⠀⢿⣻⣿⣽⣿⣧⣤⣇⣀⠀⠠⠃⡆⠀⠈⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⣇⠈⡆⢰⣿⣀⣘⢃⠈⡟⣆⠀⡀⠀⣼⣿⠇⠏⠀⠀⢠⣾⢿⣿⢿⣿⣿⣿⣿⣿⣿⣶⣄⡟⡀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢿⣆⢀⣿⣶⣿⣿⣿⣿⣿⣿⣦⡈⠈⢧⣧⣰⢣⠏⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⣿⣿⠿⢿⣿⠉⢻⣷⡇⠀⡇⠀⠀⠀ ⡀⢦⡀⠀⠀⢸⣿⠈⣿⡿⠛⣿⣿⡿⣿⣿⠿⣿⠇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠠⠀⠤⡠⡀⠰⠋⡴⠁⣾⡇⠀⢇⠀⠀⠀ ⡇⠘⣧⠀⠀⠈⣿⡟⢻⡀⠀⠻⠉⠁⣠⠄⠀⢿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⣰⠇⡇⠀⠘⡄⠀⠀ ⠘⣄⣿⣧⠀⠀⣿⣷⡄⠉⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⢀⡃⠀⠀⠸⡀⠀ ⠀⠈⠛⣯⢆⠀⢿⠙⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⡟⣄ ⠀⠀⠀⠘⣮⡧⡸⡇⢘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡆⠀⢀⢻⣷⠿ ⠀⠀⠀⠀⢿⡇⢿⠛⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⣾⡇⠀⣼⣿⡍⠀ ⠀⠀⠀⠀⢸⣿⠀⣧⠈⢯⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡠⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢃⡇⣰⡿⣿⣷⣶ ⠀⠀⠀⠀⣾⣿⣦⣿⡄⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⢁⣼⣷⣿⠁⢿⣿⣿ ⠀⠀⠀⠀⣿⣿⣻⣿⣷⡀⠸⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠤⠤⠤⠄⠀⠀⠤⠤⠤⠔⢁⣀⠤⠤⠄⠒⠒⠒⠲⢾⣿⠃⡸⠀⠸⣿⣿ ⠀⠀⠀⢠⣿⣿⣿⡿⠿⠟⠀⠛⠋⠉⠉⠉⠉⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢞⣁⠀⠤⠤⠒⠊⢀⣀⠀⠀⠈⠙⠣⢄⣠⣿⣿ ⠀⠀⡆⣸⣿⡿⠋⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠑⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡻⠋⢀⠤⠤⠐⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿ ⠀⢠⣷⡿⠋⠀⠀⠀⠀⠀⠀⠐⠒⠠⠤⠤⠴⠦⣄⡀⠈⠹⡶⢤⣀⠀⠀⠀⠀⣠⣷⡡⠖⠁⠀⢀⣀⣀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠀⣀⣀⣀⠀⠈⠻⣦⣀⠘⢆⠈⠙⠷⣶⣿⢿⠏⠀⢀⠴⠊⡩⠚⠉⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠤⡀⠙⠢⡀⠈⢫⠉⠻⣴⣶⠿⣿⡭⠏⠀⡰⠁⠀⡜⠀⢀⡴⠒⠛⠒⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠖⠒⠢⠤⡀⠈⢦⠀⠘⠦⣀⣱⡄⠹⣷⢴⡟⠓⠒⠋⠀⢠⢊⣀⠔⠋⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠈⠢⣄⣑⣆⠀⠀⠀⠀⠀⢹⣾⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣳⣿⣥⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⣥⣿⢿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠋⠉⠀⠀⠙⢿⣿⣿⣿ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢰⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢀⡜⠀⠀⢀⡴⠶⡄⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣞⠀⠀⣰⠋⠀⠀⡇⠀⠑⠢⣀⠹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣿⡇⠈⠀⠀⡇⠀⢀⡼⢡⡀⠀⠀⠀⠑⠈⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠹⣷⡀⠀⠀⠙⠶⠋⠀⠀⠈⠲⣄⠀⠀⠀⢸⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⢀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠹⣿⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⣸⠀⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠑⠓⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⠀⠀⠁⣀⡀⠀⠀⠀⠀⠀⠀⡰⢫⠂⠈⢢⣿⣀⣼⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⡆⢠⡞⠉⢹⠀⠀⠀⠀⣀⣠⣣⠃⠀⢀⡞⢙⡛⠿⠿⠿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠿⣦⡄⠈⢧⡟⠀⢀⣜⡠⠔⠊⠉⠀⠀⠀⠁⣠⠛⠛⡅⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿ ⠀⠀⠀⠀⠢⣄⠀⠀⠻⣿⣿⣿⣿⣿⣿⡀⠈⠳⣄⣸⣓⠶⠊⠁⠀⢄⡀⠀⠀⠀⣀⠞⠁⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣦⣅⠀⠀⠈⠙⠿⣿⣿⣿⣿⣦⣄⣨⣻⣿⣷⣤⣀⣀⣀⣉⡢⠔⠊⠁⠀⠀⠀⢠⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠊⠔⠂⣒⢦⡤⠉⠙⠛⠿⠭⠭⠍⠻⠿⠷⠴⠋⠓⠢⠤⠥⠤⠤⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡟⠀⢠⡇⢀⣾⡿⠉⠀⠀⠀⠀⠀⠀⠀⠈⣹⠞⠁⠀⠀⠸⣿⠀⢹⡀⠀⠈⠀⣾⡀⠘⡇⠀⠀⠀⠀⠱⠑⠸⡍⠙⠲⢤⣄⡀⠀⠀⠀⠀ ⠁⢰⣿⠂⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠣⢄⣀⠀⠀⠀⣿⠀⠀⢳⡀⠀⠀⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⠙⠒⠤⣀⡉⠓⠀⠀⠀ ⢀⣾⡇⢰⣿⣿⠀⢀⠀⠀⠀⠀⡀⢀⡿⠁⠀⠀⠀⠉⠑⠒⢿⠶⠦⠈⣧⡀⢀⡇⠘⣇⠱⡄⠀⠀⠀⢀⢰⠀⢸⠀⠀⠀⠀⠉⠑⠂⠄⠀ ⣼⣿⣇⣿⣿⡗⠀⣼⠀⠀⠀⠀⣧⣼⢡⠴⠒⠛⠛⠒⠲⣤⡀⠀⠀⠀⠸⣧⢹⢇⠀⠸⣦⢹⡄⠀⠀⢸⢸⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⡇⢰⣿⠀⠀⠀⠀⢻⣿⡀⢠⣄⣀⠀⠀⠀⠀⡿⡄⠀⠀⠀⠸⡟⠀⠙⠢⢿⡀⣇⠀⠀⡸⡸⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⢱⡇⢼⣿⠀⠀⠀⢸⠀⢹⡟⠚⠀⠀⠈⠫⢿⠶⠖⠀⠀⠀⠀⢰⠉⠉⠑⠢⡄⢸⣿⠀⢸⢇⣇⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⢸⡇⣸⣿⠀⠀⠀⢸⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣀⡀⠸⢿⣿⣧⡏⣼⡟⠳⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢷⣿⣿⠀⠀⠀⠈⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢷⣦⣀⣿⠋⠈⠁⣇⢀⡄⠀⠈⡇⠐⡟⠶⢶⣄⣀ ⣿⣿⣿⣿⣿⠘⣿⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣿⠀⠀⠀⣿⠉⠁⠀⠀⡇⠈⠁⠀⠀⠀⠉ ⣿⣿⣿⣿⣿⡆⣿⣿⠀⠀⠀⠀⣆⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⣿⠀⠀⠀⠀⡇⢰⡄⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⢻⣿⡄⠀⠀⠀⣼⡗⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⣷⠀⢠⣿⠀⠀⠀⠀⠃⢸⡇⠄⠀⠀⡄ ⣿⣿⣿⣿⣿⣿⣼⣿⡇⠀⠀⠀⣿⡁⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣇⢁⣰⣯⠀⢸⣿⠀⠀⠀⠀⠀⢸⣿⣷⣄⢠⣄ ⠛⠉⠉⠉⠀⠈⣿⣿⣿⠀⠀⠀⢹⠳⣄⣀⣨⠗⠦⢄⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⡟⢻⣇⠀⣿⣿⠀⠀⠀⠀⠀⢸⣷⣾⣿⣭⣿ ⠀⠀⠀⠀⠀⠀⠘⠸⣿⡀⠀⠀⢸⡇⠀⠉⠀⠀⢒⡶⣾⣿⣿⣷⣶⣶⣿⡿⣼⣿⣿⣿⣿⠁⣸⣿⢰⡿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⢸⠁⠀⠀⠀⢀⣾⠀⠈⠫⠹⢿⣿⣿⡿⢃⣿⣿⣿⣿⠃⣰⣟⣿⣿⣇⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣢⠔⢀⠞⠁⠀⠀⢠⡶⠁⠀⡄⠠⠀⠀⠀⠀⠀⠀⠄⢃⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⡰⠃⢀⡞⠀⢠⣿⠇⠀⢸⠁⠀⠀⠀⠀⠀⠀⢸⠀⠘⡔⣀⠀⢃⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⡴⠁⢀⣾⠁⠀⡞⢸⠀⠀⡏⠀⢀⢰⠀⠀⠀⠀⡎⠀⠀⢱⢹⡄⠸⣆⠀⠀⢱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⡸⠁⠀⣼⡇⣀⣼⣀⣸⣄⣀⣷⠤⢿⠘⠳⠑⢤⣰⡇⠀⠀⠀⣧⣣⠀⢻⣆⠀⠀⢡⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⢠⠃⠀⢰⢿⠁⢀⡃⠀⢹⡇⠸⣏⡅⠈⡆⢧⠀⠀⢹⡟⠒⢤⡀⢹⣿⣧⠀⢻⡄⠀⠀⠳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⠀⣾⠀⠀⡿⢸⣤⣼⣿⣿⣿⣿⣦⣧⢰⠀⢱⡘⡇⠀⠿⢧⠀⠀⠈⠙⡿⣽⣷⣄⠳⡀⠀⠀⠙⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢰⡟⢸⢛⣻⣼⠿⠟⠻⢻⡟⠛⠄⠘⣟⠜⡄⢸⣾⣿⣶⣷⣄⣱⠘⣷⡙⢷⣧⡀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⢸⠁⣼⠸⣿⠉⠀⠈⠈⠉⠀⠀⠀⠀⠹⢆⠈⢀⢥⣿⣿⣿⣿⣿⣧⣺⣷⡄⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⣸⠀⠈⣏⢻⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠁⠘⠺⠿⠯⠤⣌⣁⣿⡏⡙⣿⠄⣽⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡔⢁⢞⣿⣾⠀⡏⠻⢦⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠢⣍⠁⠠⢬⠃⣠⠞⡀⠀⡆⠀ ⠀⠀⠀⠀⠀⠀⢀⠎⡴⠁⡜⢈⣿⣾⡇⠀⠀⠑⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⣺⠞⢁⢾⢡⣶⠇⠀ ⠀⠀⠀⠀⢠⠚⣯⡜⠀⢠⠇⢸⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣡⠞⠉⣾⡿⠟⠂⠀ ⠀⠀⠀⠀⠀⣹⡟⠀⢀⣾⠀⢸⠀⠀⢱⠀⠀⠀⡤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣡⠞⠁⠠⠾⠋⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⣿⠃⠀⠎⢸⡄⠸⣇⠐⣄⢣⠀⠀⠉⠉⣉⠙⠛⠭⢉⡒⣦⣀⠀⠀⠀⠀⢠⠋⡿⠧⠀⠀⠀⠐⣶⠶⡎⠀⢲ ⠀⠀⠀⠀⠀⢿⣱⡜⢀⠃⠱⡄⢻⠳⣌⠛⢧⠀⠀⠀⠀⠉⠑⠂⠀⠀⠉⠉⠀⠀⠀⢀⠇⠎⠀⡠⠚⠓⠢⢤⣥⡔⠊⠻⡅ ⠀⠀⠀⠀⠀⠈⢇⡇⢸⠀⠀⠈⠓⣳⣄⡉⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣤⡴⠋⠀⠀⠀⠀⢸⠀⢻⡄⠀⠈ ⠀⠀⠀⠀⠀⠀⠈⢣⡘⡦⠒⠊⠉⠀⠀⠙⠧⠤⣵⡀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣾⡿⣏⠀⠀⠀⠀⠀⠀⠈⢇⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⡠⠔⢋⠓⢝⢤⡀⠀⠀⠀⠀⠀⠀⢀⠏⠒⠒⠒⢲⣿⣿⣿⣿⣿⠿⠉⠀⠘⢷⣄⠀⠀⠀⠀⠀⠈⢦⡼⠁⠀ ⠀⠀⣀⠴⠊⠀⠀⡌⠀⠀⠑⠬⡒⠤⣀⠀⢀⠔⠁⠀⠀⠀⢠⠋⢿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠉⠳⠦⣄⣀⢀⡠⠊⠀⠀⠀ ⠉⠉⠀⠀⠀⠀⢸⠁⠀⠀⠀⣴⡏⠑⠦⡉⠛⢦⡀⠀⠀⠀⠀⠀⡘⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠉⠓⠣⢄⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣼⠎⠀⠀⠀⠈⢳⢤⡈⠳⢄⠀⠀⠰⠁⢠⢷⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠀⠀⢰⠏⠀⠀⠀⠀⠀⢸⠀⠑⢄⠀⠑⣴⠀⢀⠎⠀⠃⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢀⡟⠀⠀⠀⠀⠀⠀⣸⢀⡴⡟⢢⠀⠘⣄⠎⠀⠀⠀⠀⠀⠀⠀⠀⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣟⣿⣾⠟⠁⠀⠈⢿⣿⠒⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⢁⡞⠀⠀⠀⠀⠈⣿⡀⢸⢻⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⡟⣿⣿⠁⢸⡗⠀⠐⠒⢤⣤⣼⢿⢁⠼⠋⣿⣿⣿⠻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⣹⣧⣷⣿⠇⠀⣼⣟⣉⣈⣉⣀⡀⠹⣍⢇⠀⢀⡟⠹⣿⡄⣻⣁⡬⠷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠗⣿⣻⣿⡟⢰⡾⡟⢻⠉⠋⠀⠰⠿⢿⡠⠬⣦⡟⠀⠚⢿⣯⣿⠅⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⡏⢸⣿⣿⣿⠟⡿⣿⠧⠘⡄⠀⠀⠀⠈⠀⠀⢠⠟⠁⠀⠀⠀⣇⠘⠀⠀⠀⠀⠀⠀⠘⣷⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⠁⣿⣿⣿⡿⠀⠐⠁⠀⠀⢱⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⢯⡇⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡿⢿⣿⢠⣿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⢸⠸⢸⠹⣿⣦⡀⠀⠀⠀⠀⠀ ⢀⣾⠟⠁⢾⣿⢾⣿⣻⡇⢿⡀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⣿⣏⠙⣦⡀⠀⠀⠀ ⣿⠋⠀⠀⢾⣿⣾⡛⣿⡇⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠐⠀⢰⡟⣿⠀⢹⣿⣦⠀⠀ ⣿⡄⠀⠀⢸⡟⢻⣇⢻⣷⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⣀⣠⠄⠀⠀⠀⢀⣀⣒⣶⣶⡚⠦⣄⠀⠀⠀⠀⠀⠀⢸⡿⠁⢸⠀⠀⣏⡏⠳⣄ ⣿⣷⡀⠠⡃⠙⠚⢿⣿⢿⡀⠀⠙⠀⠀⠀⠀⠀⣠⢊⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡵⣄⠀⠀⠀⠀⣸⠁⠀⡘⠀⠐⡾⠀⠀⠘ ⣿⣿⣿⣷⣬⣁⠀⠚⡿⣿⣇⠀⣸⡀⠀⠀⠀⣾⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⠃⠀⠀⡇⠀⢰⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣷⣦⣇⣹⣿⡄⠈⢧⠀⠀⢰⣿⠟⣿⠟⠉⠉⠉⠉⣏⢉⠉⠙⣧⣼⣦⡀⠙⣿⡍⢹⡆⠀⡜⠀⠀⢰⠁⢠⠃⠀⠀⠀⠀ ⣿⣿⣿⣿⢳⠏⠀⣿⡏⢻⣿⣷⡀⠀⢣⠀⢸⡏⠀⣿⠀⠀⠀⠀⠀⣿⣌⠄⠀⣿⡿⠙⡇⠀⢈⡇⢰⠃⣰⡁⠀⢠⣿⣴⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠀⠀⠀⠸⢳⠈⣿⣿⣷⡄⠀⢃⠀⠙⡄⠻⣦⠀⠀⠀⠀⡇⣷⠀⢰⣿⣿⠀⣷⢀⠞⡠⠃⠰⠛⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠀⠀⠀⠀⠀⠀⢂⣏⣿⢿⣿⣦⡀⢢⠀⠈⢦⡈⠒⠀⠀⠐⠓⠚⠒⠐⠛⠓⠒⠛⣁⠔⠁⡰⠁⢀⠜⠛⣹⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠀⢀⡔⠚⣯⣽⡿⠛⠉⠁⣸⣿⡄⢱⣤⡣⡀⠀⠉⠐⠂⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⢀⠎⢀⡴⠃⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⣠⠃⢀⡾⠋⠁⠀⠀⢠⠾⢿⣿⣇⠀⠙⠙⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢃⡴⠊⠀⠀⠀⣿⢇⡜⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⠃⠀⡎⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⠀⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠔⠉⠀⠀⠀⠀⠀⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⢸⠀⠀⢀⠖⠀⠀⢀⠴⠋⠀⣼⡆⠀⠀⠀⠀⠀⠀⠈⠒⠤⠤⡤⠤⠤⠄⠒⠋⠁⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⣀⡠⠤⠀ ⠀⡇⠀⠀⠀⢀⠎⠀⠀⣠⠃⠀⠀⣰⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣠⣤⠖⠊⠁⠀⠀⠀⠀ ⠀⠘⠀⢰⣠⠞⠀⠀⠀⠁⠀⢀⡐⠁⣸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣡⣞⡽⠻⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⠀⠀⠀⠀⠀ ⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀ ⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠘⡄⠀⠀ ⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⣀⡞⠉⠀⠀⠀⡰⠀⠀⠀⠀⢸⠀⡄⠀⠀⡆⡆⠀⠀⠀⢰⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⢀⠔⢀⠔⢁⣜⣾⠁⠀⠀⡀⣸⠁⡀⠀⣸⠀⢸⢰⡇⠀⡼⢰⠁⠀⠀⠀⠀⠇⠀ ⢸⠀⠀⠀⠀⠀⠀⢀⣾⣰⠋⢠⢻⡿⢸⡇⠀⢠⢣⠃⡇⣇⣠⡿⠀⣿⣾⠀⡼⠁⡜⡀⠀⡀⡆⠀⠀⠐ ⢸⠀⠀⢀⠆⠀⠀⣼⣷⣧⣦⣿⢾⠇⠀⢇⠀⢸⡞⠀⢿⣥⠛⣧⣼⡟⣽⠞⠁⣸⠁⠁⠀⡇⡇⠀⠀⠠ ⢸⠀⠀⣾⠀⠀⢸⣿⠋⣿⠼⠘⣾⠀⠀⠘⡆⢸⣧⠀⠸⠃⣀⣭⡁⠸⠓⠒⢾⢻⠀⠀⢸⢡⡇⠀⠀⠀ ⢸⠀⢰⣿⠀⠀⣎⢙⣶⣿⣿⣿⣿⣿⣆⠀⠘⣄⢿⣆⠀⣾⣿⣿⠿⠿⣷⣦⣭⣼⠄⢀⠇⣸⠁⠀⡀⠀ ⢸⠀⣸⢹⠀⢠⣏⣟⡩⠟⠉⠀⠈⠀⠙⠃⠀⠈⠛⠬⠷⣿⠉⣯⠀⠀⠀⠉⠻⣏⢠⠎⢀⡿⠀⢠⠃⠀ ⠀⡇⣿⣿⠀⠈⡟⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⡇⣿⡄⠀⠀⠀⢰⣿⠏⠀⣸⠃⣠⡏⠀⠀ ⠀⢧⡏⢿⡇⢸⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢸⡇⠀⠀⠀⠀⢠⡿⣿⠀⡜⡝⣼⡟⠀⠀⠀ ⠀⠸⡇⠈⣿⡀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⠤⠤⠤⣿⡀⠀⠀⠀⠀⠀⣏⡜⣰⣹⡟⠀⠀⠀⠀ ⠀⠀⠱⠄⠸⣷⣿⣷⣀⡀⠀⠀⠀⢠⣿⣷⣶⠶⠶⠶⢶⣶⣿⣷⡄⠀⠀⠀⣸⣿⢴⣳⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⡙⢿⡀⠀⠀⠀⢾⣟⠉⠀⠀⠀⠀⠀⠈⢙⣿⠃⠀⠀⠀⣿⢁⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⡄⠙⠦⡀⠀⠈⠙⠻⠶⠶⠶⠶⠶⠟⠋⠁⠀⠀⡠⠊⢁⣨⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢲⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⣴⣶⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀
⠀⣰⣿⠃⡜⠉⢹⠃⠀⠀⠀⠀⠀⡇⠀⠀⢸⢠⠻⡰⠀⡇⠀⠀⠀⠀⠀⣼⡀⡄⠀⢸⠀⢳⠀⠀⢸⡄⢰⡄⠀⠀⢽⡄⠀⠀⠀⠉⠀⠀ ⠘⠟⠛⢰⠇⠀⠸⠀⠀⠀⠀⠀⠀⡇⠀⢰⣾⣾⡀⣧⠀⡇⠀⠀⠀⠀⢠⣿⡇⣿⠀⢸⠀⠈⣇⠀⠀⣷⡀⣿⣆⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠀⠀⡀⡀⠀⠀⡶⠀⢠⡇⠀⣾⡇⡟⣇⣿⡆⠙⠀⠀⠀⠀⣼⣿⣧⣿⠀⡌⢰⢂⢸⡀⢰⡏⣇⢻⣿⣧⠀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⡇⡇⠀⠀⣿⠀⣾⣹⣀⣿⠃⢸⣿⣾⣷⠀⡀⠀⠀⣸⣿⣿⣿⣿⣰⣇⣇⣘⣌⣇⣸⢠⣸⣼⣿⣿⣷⣿⠀⠀⠀⠀⠀⢀ ⠀⠀⢸⠀⠀⠀⢱⣿⠀⢰⣿⡆⢹⡏⢏⣿⠉⠉⢿⣿⣿⣧⣧⠀⢠⣿⣿⣿⠇⣿⣟⡟⠀⠀⢃⢹⡏⠘⡌⣿⡇⢻⣿⣿⠀⠀⠀⠀⠀⢸ ⠀⠀⠈⠀⠀⠀⢸⣿⡆⢸⣿⡻⣾⡇⠘⢿⠀⠀⠘⢿⢻⣿⣿⣧⣿⣿⣿⣏⡴⣿⡟⠀⠀⠀⢸⣸⠃⠀⢣⢻⠰⡘⣿⣿⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠈⣧⢷⢸⣿⣇⠙⢅⣤⣬⡤⣄⣀⠨⢆⠻⣿⣿⣿⣿⣿⠟⠘⢉⡠⢔⣲⣤⣼⠗⣶⣤⣼⡜⠀⢇⢻⡏⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠘⠟⢿⣿⣿⡴⠋⠉⠉⠉⠙⠛⠿⢶⣄⠙⢿⡏⡸⠁⠀⠀⠀⡾⠟⠛⠉⠉⠉⠉⠉⠃⠀⠀⢸⣼⡇⠀⠀⠀⠀⢀⣾ ⠀⠀⠀⡆⠀⠀⠀⠀⠠⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠊⠀⡿⠀⠀⠀⡀⠀⢜⣿ ⠀⠀⠀⠇⢠⡀⠀⠀⣶⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢧⣾⠃⢰⣷⣦⣾⣿ ⠀⠀⠀⢸⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠸⣞⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣺⣵⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⡤⠴⠖⢦⣦⡀⠀⠀⠀⠀⠴⠟⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⢰⣿⠿⠛⠛⠓⠒⠛⠉⠉⠛⡇⠀⠀⠀⠀⠀⣠⠞⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠑⣦⣄⣀⠀⠀⠑⠒⠒⠒⠒⠒⠒⠒⠒⠚⡁⠀⢀⣠⠴⡊⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⢿
⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢪⠞⣱⠿⠞⠈⣠⢞⣿⠿⣹⠏⠁⠀⢸⡀⢹⣧⠀⠘⢿⣧⠀⢹⣧⡀⠈⣧⡀⢱⡀⢳⡀⢺⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡟⣠⣯⡾⠃⢀⣴⡟⣡⡿⠃⣾⠇⠀⠀⠀⠸⡇⠈⢿⣇⢸⠈⢿⣧⠘⢿⣷⡀⢸⣧⠀⢳⡈⢷⠀⡹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣱⢟⣟⣠⡾⣿⡿⣱⡟⠁⢸⡏⠀⠀⠀⠀⢀⣧⡄⠘⣿⡌⡆⠀⢻⣧⡄⢻⣷⡀⢿⣧⠘⣷⡈⢇⢱⣃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠋⣡⣾⣿⡏⢰⡿⢳⡟⠀⢀⣼⣥⣤⣤⣤⢤⣄⣹⠀⠀⠘⣿⣧⠈⠓⢿⡇⠀⢻⣧⠸⣿⡆⢃⢳⡜⣆⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡼⠋⣽⣿⢀⡿⢡⡟⠀⣿⣿⡿⠶⠿⠷⠿⠿⠿⡿⠂⠀⠀⠘⢿⣶⣶⡦⢿⣄⣀⢻⣇⢸⣿⣸⡆⢻⣾⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⢀⣿⡇⣸⠁⡸⠁⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠛⠓⠾⢯⣿⣼⣿⡄⢽⣿⣿⣎⢿⠻⢧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⡸⠁⣴⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠙⠿⡇⢸⣿⣿⠻⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣷⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⢿⢠⢸⠟⠳⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣷⡙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢃⣿⡟⣦⣈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣰⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠇⢸⡟⢰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠔⠒⠲⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠗⣻⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⢀⡟⣁⣸⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣺⠇⢸⡆⠀⠀⠀⠀⠀⠀ ⡶⠶⠾⠿⠿⢿⣿⠟⠉⠉⠇⠻⡏⢿⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⡿⠿⠿⠿⠿⠶⠦⠤ ⠀⠀⠀⠀⠀⡼⠁⠀⠙⢦⡀⠀⠙⠘⢶⠀⠻⣦⣀⣤⣄⡀⠀⠀⢘⡩⠤⢬⡱⣦⠀⠀⠀⠀⢀⡠⣾⣿⠟⠛⠚⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠙⠦⠀⠐⠜⠆⠀⠈⢻⣏⣙⡿⠠⢚⡡⠔⠢⢄⠙⠎⣳⣾⣥⠖⠋⢠⡏⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠠⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⠶⠾⠿⠛⠛⠛⠛⠛⠻⠿⠷⠶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠀⢠⣄⠀⢠⣤⡀⠀⢀⠀⢸⣧⠀⠈⠹⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⢀⣤⣤⠀⠀⠀⠀⣠⡀⠀⢠⣦⠀⠀⢸⣿⡄⠀⢸⣿⡄⢸⣿⡇⠀⣿⣧⢸⣿⣇⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡿⠁⠀⢀⡾⠻⡏⢀⣤⡀⠀⣿⣿⠀⢈⣿⡆⠀⢸⡟⣷⠀⠀⣿⣷⣸⡇⢿⣼⠇⠹⣿⡇⠹⣧⠀⠀⠀⢻⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠁⠀⢠⡿⠁⠀⣇⣸⢿⡇⢀⡿⢹⡆⢸⠋⣿⡀⣸⠃⢹⣧⣼⠇⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⢿⡆⠀⠀⠀ ⠀⠀⠀⠀⣼⡇⠀⢀⡿⠁⠀⠀⣿⠇⠘⠿⠟⠁⠈⣷⣾⠀⠘⠓⠛⠀⠀⠉⠁⠀⠀⠀⠀⢀⣀⣤⣴⠶⠟⠀⠀⠹⣧⠀⠀⠘⣿⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⣾⢁⣄⣄⣀⣀⣀⡀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⢸⡇⠀⣸⠇⠀⠉⠉⠉⠉⠙⠛⠻⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⢸⡇⠀⠀ ⠀⠀⠀⣸⠇⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⡆⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⢀⣠⡾⠂⠀⠀⠀⠀⠀⠀⠈⣿⡀⢸⡇⠀⠀ ⠀⠀⠀⣿⣤⡟⠀⠀⠀⠀⠲⠶⠦⣤⣄⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠶⠆⠀⠀⠀⠀⠀⠀⠀⠸⣇⢸⡇⠀⠀ ⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠰⠶⢛⣿⣿⣿⠿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⡿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀ ⠀⣠⣤⣿⠇⠀⠀⠀⠀⠀⠰⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⣤⡀ ⣼⡏⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣸⡿ ⠘⣷⣀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣠⣿⠁⠀⠀⠀⠀⣀⣀⣴⡿⠁ ⠀⠈⠛⠻⢿⡇⠀⠀⠀⠀⠘⣿⣀⣸⣷⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⢸⡟⠛⠋⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠀⠀⣠⣶⡿⠛⣿⡉⢹⣿⠛⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢻⣇⣀⣽⣷⣾⠿⠿⠛⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠷⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣿⡇⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠐⣿⣤⣴⠶⠶⠾⠛⠛⠛⠉⠉⠉⠉⠁⠀⠈⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢷⣶⣶⣶⣶⣶⣶⡾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⢀⡜⠁⡰⠃⠀⠀⠀⡴⠉⢀⠎⡾⠋⢀⣴⣿⠃⠀⣰⡟⠁⣼⠆⠀⠀⠙⡆⠀⠇⠀⢇⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⠀⣠⢿⢡⠂⣜⠞⠀⣠⠇⠆⠀⠀⣰⠁⢀⠏⡼⠁⢠⡟⢡⠃⠀⡜⡿⠀⢰⣿⠀⠀⠀⠀⡇⠀⡀⡇⠸⡀⠀⠘⡄⠀ ⠀⠀⠀⠀⢠⠃⣧⠏⢸⠏⠀⣰⡟⡼⠀⠀⢠⠃⠀⡞⣼⠃⣠⣟⣀⠆⢀⣮⣼⠁⢠⢿⡏⠀⠀⣸⢸⡇⠀⡇⠃⠀⡇⠀⠀⣷⠀ ⠀⠀⠀⢀⡿⢸⡘⢠⠋⠀⢠⣿⢃⠃⠀⢀⡟⠀⡼⣰⠇⡴⣉⣩⠍⣴⣭⣽⠇⢠⠃⢸⡇⠀⢀⣇⣇⡇⢸⡇⡆⠀⡇⠀⠀⢿⡆ ⠀⠀⠀⣸⡇⢸⡷⠁⠀⣠⣿⢟⣾⠀⠀⡎⡁⢠⣷⣵⡞⢛⣿⣿⣾⣿⡟⢻⢠⠃⠀⢸⠀⢀⣾⣿⠀⡇⡾⣧⡇⠀⡇⠀⠀⣯⢣ ⠀⠀⠀⡿⡇⡜⠁⠀⡰⢟⡟⢸⣿⠀⢸⠀⣇⣾⡇⠘⡆⠈⠀⢀⣈⡭⠥⣿⠁⠀⢀⡟⢠⢫⡟⢻⣿⣿⣄⣾⡇⢀⡇⠸⠀⡿⣾ ⠀⠀⠀⢃⡟⠀⠀⡴⢁⣾⠃⠘⣿⠀⣾⠀⠿⢻⡀⠈⡷⢤⠀⢸⠉⠓⠼⠃⠀⠀⢼⣧⠋⡎⠀⢿⡻⢿⣛⣿⠇⡘⡇⡀⢰⠁⡿ ⠀⠀⢀⠏⠀⢀⡜⠀⣼⣿⠀⣴⣿⡇⣿⡀⠸⠈⠀⢀⠁⠀⠀⡎⠀⠀⠀⠀⠀⠀⠘⠁⠀⣥⠀⠀⢱⣤⣬⠟⣰⣷⣧⣧⠏⢀⠇ ⠀⢀⡎⠀⢀⡞⠀⣰⡏⠀⠸⣇⡿⡽⣿⣇⠀⣀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⡼⠛⢀⣿⣿⣿⣿⠏⠀⠘⠀ ⠀⣼⠃⣰⠏⠀⢠⢻⠁⢸⡟⣌⣷⠀⢹⡿⠾⠀⠂⡟⢣⠀⢠⡴⠒⠊⠉⠁⠒⠂⠤⣀⡀⠀⠀⢠⠁⠀⢸⡿⣠⢏⡏⠀⠀⠀⠀ ⢰⠃⢠⠏⠀⣶⡏⠀⠀⢸⠃⠘⣿⣤⡞⢁⠇⠀⡄⡇⠀⣄⣮⣴⣶⣿⣿⣿⣿⣶⣦⣤⣀⣱⠀⡈⠀⠀⣾⢱⣇⢸⣡⠀⠀⠀⠀ ⡟⠀⣼⠀⠀⣿⡇⠀⠀⠈⣆⡤⢋⠞⠀⡞⠀⢠⠀⠀⠀⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣏⣠⡟⠀⠀⠀⢀⢿⡸⠈⣦⣿⠀⠀⠀⠀ ⠀⢰⣿⠀⠀⢿⠁⠀⠀⡴⠁⠀⡎⠀⢠⡇⠀⢸⠀⠀⠀⡟⠁⠀⠀⠈⠉⠉⠛⠿⠿⣿⣿⠃⠀⠀⢀⡼⣸⠃⠀⠈⣿⠀⠀⠀⠀ ⠀⡞⣿⡄⠀⠸⣶⠀⠀⢡⠀⠀⢧⠀⠈⣧⠀⠘⣤⠀⠀⡿⠶⠶⠒⠂⠤⠤⢀⣈⡉⢹⠏⠀⢀⡴⠋⣱⣃⠀⢰⠀⡿⠀⠀⠀⠀ ⠀⡇⢸⣧⠀⠀⢹⣇⠀⠈⡆⠀⠸⡄⠀⢸⠀⠀⠹⡇⢠⣹⠀⠀⠀⠴⠃⠀⠀⠀⠈⠉⣠⠔⢋⠵⠚⠁⠀⠀⢸⢀⠃⠀⠀⠀⠀ ⡀⢳⠈⡿⣧⠀⠀⢿⡄⠀⢰⠀⠀⢧⠀⠀⠁⠀⠀⠀⠀⠀⡧⣤⠀⠀⠀⠀⠀⢀⣴⠞⠋⠉⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀ ⢧⠈⡆⠱⡜⣧⡀⠈⢻⡄⠘⣄⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠰⣌⠉⠒⠤⣤⠊⠁⠃⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣆⢸⡔⠛⢎⠻⣦⡀⠹⢆⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠓⠄⢠⡇⠀⠀⠀⠀⠀⣀⣀⣠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠙⣆⠳⣄⠘⣷⢮⣿⣦⡈⠣⡸⣿⢢⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠏⢣⣠⣤⣄⣴⠛⠉⠻⠟⠉⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠧⠘⡗⢯⣧⣉⠛⢿⠦⡙⣿⡀⠑⢄⡀⠀⠀⠀⢀⣠⠴⠓⡦⠀⢻⡁⠀⠙⠋⠀⠀⠀⢘⡄⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣼⣯⣾⣔⢠⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣛⣿⣿⣧⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⢟⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⣦⣀⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡼⢁⣼⣿⠍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣆⠙⢍⣒⣒⠤⠤⢄⣀ ⠀⢠⢾⢁⣾⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠙⣿⡟⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡀⠠⠙⠫⣵⠦⢄⡀ ⢠⠊⢸⣼⡞⢹⣻⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⠋⣁⠹⠿⠒⠹⠏⠿⣿⡌⢷⠉⠿⣿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣷⡀⠙⢕⠄⡙⠢⠄ ⠇⠀⢸⣽⡇⢻⣿⣿⣿⣿⣿⣿⣿⣟⣥⣾⣷⣾⣦⣔⡒⠒⣶⠒⠂⠈⠁⣰⣿⣿⣿⣷⣖⠿⣿⣿⣿⣿⡸⣿⣿⣿⣾⣷⣴⡀⠉⠪⢅⡂ ⠀⢀⣿⢯⡇⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⠿⠁⠀⠘⡇⠀⠀⠈⠉⠸⣿⣿⣿⡿⠟⢿⣿⣿⣿⣧⡹⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀ ⠀⣼⡟⢸⡇⣿⣿⣿⣿⣿⣿⡧⡏⢣⡠⣛⣋⣩⡩⠶⠀⠀⠀⠁⠀⠀⠀⠀⠾⠮⠮⠴⢴⣤⢻⣿⣿⣿⣿⣷⣜⣿⣿⣿⣿⣿⣷⡉⠛⠦ ⠀⣻⠃⢸⣧⣿⣿⣿⣿⣿⣿⣇⢱⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠑⠄⠀ ⠀⣿⠀⢸⢻⣿⣿⣿⣿⣿⣿⣿⡘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠠ ⠀⣿⡄⠘⡜⡿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠋⠁⣸⠊⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠄ ⠀⠈⡟⢦⡃⢻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦ ⠀⠀⢣⠀⠹⡌⣿⣿⣿⣿⣿⣿⡿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢣⡀⢱⣹⣿⣿⣿⣿⣿⣿⣝⢿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠑⢄⣳⣿⣿⣿⣿⣿⣿⣿⣧⣝⣿⣿⣮⣙⠓⠶⠤⠄⠀⠀⠀⠀⣀⠤⠚⡏⠱⡵⠄⠀⠀⠀⠀⠀⠀⠙⣷⣝⡿⣿⢿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠉⡽⠉⡩⠉⡹⠋⠉⢩⠋⠉⠉⠉⠉⢩⠋⠻⣏⠉⠙⡏⠉⠉⠙⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⣸⣥⠊⣀⠜⠀⠀⢠⡿⢀⣷⠀⠀⢠⠿⠀⠀⢻⡄⠀⢰⡄⠀⡄⠺⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣶⡟⠁⢠⠏⠀⢀⣰⣫⣧⠮⡿⠀⡀⡿⠓⠠⠤⢀⣿⣄⢘⣧⠀⡇⠀⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⢻⣼⡧⠠⢺⠋⣩⣟⣉⣈⠊⠀⡇⢀⣿⠁⠀⠀⠀⢀⣈⣻⣏⣿⡑⠧⠄⡇⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢸⣿⡇⡤⣾⠞⢋⣿⣿⣿⡟⢧⠁⣼⡏⠀⠀⢀⡾⢛⣿⣿⣿⡟⠷⣧⠈⣧⣼⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡾⢀⣧⠹⠀⢸⣿⠿⢿⠗⢈⢎⡟⠀⠀⠀⠀⠀⢹⡿⠿⣻⡃⢰⠋⠀⣿⢻⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠘⣸⢼⡄⡇⢈⡿⠛⠛⠔⢡⠞⠀⠀⠀⠀⠀⠀⠈⠛⣛⢫⠇⣼⠀⠀⣿⡏⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⣷⣄⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⢰⣿⠀⢀⡟⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡁⢻⣝⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡼⣹⡇⢸⣤⣀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⡗⠒⠓⢻⡌⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢡⣿⣇⣿⡄⠙⢿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⡴⣻⠛⡀⢣⠀⢀⡿⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⣠⠟⠁⢿⡏⢹⠀⠀⢛⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠟⠘⡘⠹⡄⣱⡈⢇⡼⠃⠀⠈⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⣼⡇⠀⡆⠀⢸⡼⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡸⣆⠃⠀⢿⠁⡟⣌⣇⠀⠀⢀⢸⠀⠑⠢⣄⠀⠀⠀⠀⣠⠔⠊⢀⠧⢄⠀⢰⠿⠱⡀⠇⠀⡸⢡⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣣⡙⡆⠸⡘⣶⠋⠀⠉⣳⠖⠓⡾⡆⠀⠀⠀⠉⠑⠒⠁⠀⠀⠀⢸⢠⠎⢣⡏⠀⢣⠱⣆⡴⢗⡟⢸⡄⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠈⠁⠀⠑⢬⡲⡷⣘⣍⣽⡿⠃⠀⠀⣵⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠴⠋⢟⢿⢈⣷⠁⣠⢻⠀⢸⢿⡉⠀⠐⠢⠤⣀
⠀⠀⠀⢠⣷⣧⣶⣶⣶⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠷⠛⢿⣿⣿ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡄⠀⠀⠀⠀⠙⢿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣏⠉⠉⡩⠉⢉⢭⠉⠻⢿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠈ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⣧⠔⠁⣰⠁⢰⠀⠑⠀⠹⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⡙⣇⠀⠘⠖⠁⠈⠢⡀⠀⡟⣿⣿⡆⠀⠀⠀⠀⠀ ⠐⠀⠬⣿⣿⣿⣿⣿⣿⠇⠘⡇⠘⠀⠀⠀⠀⠀⢀⠎⢀⣇⣸⣿⣷⣆⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⡀⢰⡜⠁⠃⠀⠀⠰⠎⢀⣼⠉⠛⠛⠻⠿⠶⢄⣀⣀ ⠀⠀⠐⠀⠈⢻⣿⣿⣿⡈⠳⣬⣂⠊⠁⢄⠀⠀⠠⠃⠁⢵⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠃⠤⢠⣨⡙⠛⠿⠗⠚⠿⠷⠔⠠⠔⠀⠠⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠠⢁⡃⢃⠜⠁⡜⡈⠁⢀⠉⢳⠈⢃⠈⠹⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣦⡟⢡⠂⢀⣮⡡⠵⠀⠖⠠⠁⣧⣸⡄⠀⠟⡆⠀⠀⠀⠀⠀⠀ ⠀⠂⠉⢿⡏⣠⠴⣿⣶⡤⣄⡓⠀⢠⠴⣾⣿⢷⡄⡀⠻⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢳⡋⠀⢿⣿⡣⡙⠁⠀⠀⠘⣿⣻⢀⠁⣿⡄⢃⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⡤⣽⡆⠁⠀⠀⠁⠀⠀⠀⠀⠀⠊⡾⡄⡟⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⡆⠙⣟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠰⣹⢹⡗⢦⡌⠀⠀⠀⠀⠀ ⢠⠴⡪⣇⠡⢤⠎⠢⡀⠀⠀⠀⠀⠀⠀⢂⠜⠁⡺⠰⠀⠟⡄⠀⠀⠀⠀ ⠸⣷⠀⡇⣑⢍⠀⡀⡍⠐⠄⡀⢀⠠⠂⠩⣄⢠⠟⡀⡄⢌⣅⠀⠀⠀⠀ ⠀⠨⡠⡟⣗⣤⠋⠁⡇⠀⠀⠀⠀⠀⠀⠸⠡⠻⠌⡪⢋⡏⢸⡆⠀⠠⢀
⠀⠀⠀⢀⡞⠀⠔⢁⠃⠀⢠⠊⡐⡝⢡⡾⠁⢴⠃⣼⠀⢨⠁⢠⠀⠀⢂⠀ ⠀⠀⢀⣮⡁⠍⢀⣏⠃⢀⠆⡰⡜⢠⣇⢀⣬⠇⡰⡇⠀⡘⠇⢈⠀⠀⠀⠆ ⠀⠀⣼⢨⠀⢀⡺⠉⠀⢾⢠⣙⠳⣤⣴⣿⠟⠐⢀⠇⣰⡛⠂⣿⠀⠀⠀⣻ ⠀⠀⢻⠈⠀⢸⠁⣆⢸⢸⣾⠙⡆⠁⠨⠙⠟⠀⣸⣐⠝⣽⣷⣾⡆⣆⢀⢹ ⠀⢰⠂⠀⠀⡞⠠⣾⢸⡈⠈⠀⠁⠀⠀⠀⠀⠀⠉⢀⠄⠙⢬⢽⣶⣽⠎⠘ ⢀⠇⡤⠀⡘⢀⠞⡟⠹⣧⠲⢰⠀⢀⡄⠀⠀⠀⠀⠀⠀⠰⠁⢾⣿⡟⠀⠀ ⡜⢰⠁⣾⠃⠸⠀⢷⠆⡘⢠⠈⢸⣶⣾⣿⣿⣿⣷⢂⡇⠆⠀⡏⠇⠃⠀⠀ ⠁⣷⠀⢀⠀⠀⠀⡆⠀⡁⢀⠀⢸⠉⣀⠉⠉⠻⣿⡿⠀⢀⡔⠀⠀⡇⠀⠀ ⢸⢸⡄⠈⡀⠀⠀⢡⠀⠇⠈⢄⢀⡈⠁⠀⠈⠀⠐⡁⣔⠣⠋⠁⢀⠁⠀⠀ ⡈⡌⡿⡄⠐⡀⠆⠀⡄⠀⠀⠀⠀⠰⠤⢀⢀⠄⠞⠁⠀⠀⢀⠔⠀⠀⠀⠀ ⢰⡰⡘⢚⣆⡑⠌⢦⡀⠀⠀⠀⠀⠀⠃⢤⡁⠀⠀⣀⣀⣴⡁⠀⠀⠀⠀⠀ ⠁⠱⠕⡼⣛⠻⠤⣚⡎⢄⡀⠀⠀⣀⠴⡄⢔⠂⠾⢁⡈⠡⠘⠂⠄⠀⠀⠀
⠀⠀⠀⠀⠀⠱⢄⣼⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⡿⣾⣷⣼⣿⣿⣿⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡝⠁⠀⠀⠀⠀⠈⠙⢿⣷⢿⣿⣿⢉⡛⣹⠿⠃⠀⠀ ⣷⣶⣤⣤⣄⣰⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣯⣉⣈⣠⣾⠎⠀⠀⠀ ⠉⢉⣿⣿⣿⣿⣿⣿⣿⢀⠀⠠⣀⠀⠀⠀⠀⢀⣠⢊⡀⢿⣿⣿⣿⣿⠀⢀⣾⣿ ⠀⣾⣿⡟⠛⣿⣿⣿⣿⡕⢉⣿⣮⠃⠀⡀⡴⡯⠒⣷⣮⣼⣿⣿⡿⢸⠀⣿⡿⠛ ⣶⣿⡿⠃⠈⠘⠻⣿⣿⡹⢽⣯⢿⠡⠘⡪⢚⡱⣾⣿⡹⢻⣿⠟⠁⠚⠺⣉⠀⠀ ⠀⢸⡇⠀⡄⠀⠀⠉⢧⠁⠀⡈⠀⠀⠀⠈⠀⠈⠐⠀⠀⡿⠁⠄⠀⠀⠀⢸⠇⠀ ⠀⠈⠲⢖⣲⣲⢒⡦⠚⠀⠤⣆⡀⠀⠘⠛⠛⠉⠤⠀⡰⠧⡤⡀⡆⡈⢀⣊⠀⠀ ⠀⠀⠀⠀⠐⢀⠀⠀⠀⠀⠀⠀⠀⠘⢉⠙⠉⠉⠀⠀⠀⠀⠈⠁⠉⣉⣙⠉⠀⠀
⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀ ⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢀⡰⠃⠀⠠⠀⠀⠀⠀⠀⡘⠀⠀⠂ ⠈⠀⠀⠀⠀⠀⡰⠡⡶⡇⢀⠰⣅⠀⡌⢀⡇⠰⠹⠀⠀⠈ ⠀⠀⠰⠀⢰⣿⣠⣿⠃⢁⢸⡇⢹⡕⣦⣾⡔⣇⠇⠀⡀⠀ ⠀⢀⡇⠀⣿⣿⣧⣽⣤⠀⠈⣇⠘⣴⣷⣮⣄⣋⡀⠀⠛⠀ ⠀⢘⡇⢰⣽⡙⠉⠀⠈⠃⠀⠓⠑⡏⣇⠀⠈⢺⡠⠁⡇⡐ ⠘⡟⣷⢰⡯⠀⠀⠀⠀⠀⠀⠀⠀⣏⠉⠀⢀⢿⠃⢼⡲⠁ ⠀⠃⠘⣎⣷⠀⠀⠀⢀⣤⣒⣒⣒⣸⡄⠀⠀⣸⢊⡾⠃⠀ ⠀⠀⠀⠘⢏⠃⠀⠀⢾⣋⡁⠀⣈⢹⠿⠀⢀⠏⠜⠁⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⢢⣀⠀⠉⠉⠉⠀⡀⢔⣥⣾⡃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢰⠀⢀⡀⠀⠀⠀ ⠀⠀⡆⠀⠀⢠⠎⠀⢁⠀⡆⠀⠀⠀⠀⠀⠀⠀⢀⡇⠨⡄⢸⢡⠀⠀⠀ ⠀⠀⠀⡀⢔⣋⡀⢀⣈⣤⣧⠀⡄⠀⠀⠀⢰⠀⠸⠀⡈⠰⠀⣧⢣⠀⠀ ⠀⢸⢈⠔⠁⠀⠀⠀⠀⠱⡇⠆⠱⠠⠠⠀⠘⣐⠃⢦⠇⣀⠡⢡⢹⠀⠀ ⠀⣘⣁⣤⣄⣐⣂⣠⣄⡀⠙⡈⢴⣥⣣⣳⣄⢇⢠⡏⠀⠀⠀⠑⣏⠀⠀ ⠀⠈⠃⢻⢿⡿⣉⡍⠛⠢⠀⠑⠀⠙⢮⠪⢙⣻⢧⣤⣤⣤⣤⣰⡏⠁⠀ ⠀⠀⢀⢄⠉⠁⠉⠀⠀⠐⠀⡀⠄⠈⠀⠀⠀⠀⠸⣿⠿⢦⣄⠏⣇⢠⠇ ⠀⢰⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢀⠁⡜⠀ ⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠄⣸⠃⠸⢰⠁⠀ ⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣦⠇⠀⠀ ⣇⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢰⡍⠀⠀⠀ ⠘⢆⠀⢻⣷⢄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢠⡇⣀⡾⠀⠀⠀⠀ ⠀⠈⢦⠈⣏⣷⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢼⣿⡿⠁⢀⠜⠀⠀ ⠀⠀⠀⠳⣼⣿⣿⣿⡧⡑⠠⡀⠀⢀⡀⠄⠂⣉⠤⣺⡟⠁⠔⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⡾⡝⡞⠁⠀⢻⡑⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⣿⡿⢡⣇⢀⡠⢬⣗⠹⠻⣿⡗⣦⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣧⡧⣿⢣⡼⡗⠖⠒⡢⡋⣆⡞⠨⣷⣷⠎⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡿⣸⣿⡟⢟⠓⠰⠀⠀⠀⠀⠚⠀⠀⢸⠁⠀⠀⠀⠘⠖⢄⠀⠀⠀⠀⠀ ⠀⣰⢿⡇⣿⡿⡇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠿⠛⣷⣄⠀⠀⠀ ⡼⠃⢸⣟⣿⡇⢱⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠐⠀⡿⡎⢧⡀⠀ ⣧⠀⠰⣟⣇⣿⠀⢆⠀⠀⠀⢀⢤⣀⣀⣀⣴⣶⣶⣂⢄⠀⠀⠀⠸⠁⡇⠸⠏⢢ ⣿⣷⣥⡀⠸⢿⡆⢰⠀⠀⣴⣵⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⠀⢀⠃⢀⠀⡘⠀⠀ ⣿⣿⡿⡟⢷⢾⣷⡈⢂⠀⡟⢹⠁⠀⠀⣇⡄⢱⡾⡆⠙⡄⡇⡈⠀⣼⡔⠀⠀⠀ ⣿⡿⠉⠀⠘⠎⣿⣷⡀⢂⠑⡘⢆⠀⠀⡽⡀⢾⠇⣄⠜⠔⡐⢁⣼⡿⠀⠀⠀⠀ ⣿⠃⡠⢴⣲⠶⠛⣹⡏⢢⣂⠈⠂⠄⠀⠀⠀⠀⠀⠐⢀⠔⡠⠂⣿⠇⠀⠀⠀⠀ ⣿⡔⢠⠋⠀⠀⠚⢹⣷⠀⠉⠢⢀⠀⠀⠀⠀⠀⠀⠠⡢⠚⠀⠀⣏⠊⠀⠀⠀⠀ ⢹⠀⠆⠀⠄⠀⡠⠊⢸⡀⠀⠀⠀⠁⠂⠤⠤⠄⠒⠁⠀⠀⠀⢠⠃⠀⢀⡀⠤⠄ ⠈⠄⣄⠌⠀⠘⠀⡠⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡡⡶⠋⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠖⠒⠛⠉⠉⠉⠙⠛⠒⠲⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠓⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⢀⡀⠀⠀⢀⠀⢠⠀⢸⣇⠀⣷⡀⣶⠀⣦⢸⣇⠀⠹⣆⠀⠀⠀ ⠀⠀⠀⡼⠁⢠⠏⡇⣴⠀⣿⡇⢸⣇⢸⠿⡄⡸⣧⠏⠷⠋⠻⠈⢆⠀⠘⣆⠀⠀ ⠀⠀⢰⠇⢠⠏⠀⡷⠉⠷⠃⢣⡆⠘⠚⠀⠙⠁⠀⠀⣀⡤⠴⠂⠘⣆⠀⢹⡄⠀ ⠀⠀⣼⢀⡎⠐⠒⠲⠦⢤⣀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠁⠀⠀⠀⠀⠘⡆⠘⡇⠀ ⠀⠀⡇⡼⠀⠀⣀⡀⠀⠀⠈⠙⠶⠀⠀⠀⠰⠋⠀⢀⡤⣒⠀⠀⠀⠀⢹⡀⡇⠀ ⠀⠀⣷⠁⠀⠀⠬⢿⣿⠶⠶⠀⠀⠀⠀⠀⠀⠀⣠⡿⠿⠷⠆⠀⠀⠀⠀⣷⡇⠀ ⣰⠚⠇⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠙⠷⣦ ⡇⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠠⠟⠉⠁⠀⠀⠀⠀⠀⠀⣸⢷⠀⠀⠀⠀⠀⣸ ⢹⣀⠀⠀⠀⠀⢰⠟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣇⣸⠀⠀⠀⣀⣠⠏ ⠀⠉⠙⡇⠀⠀⠘⠦⠟⠀⠀⠀⣠⠴⡶⢶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠁⠀ ⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⢀⡞⣻⡠⠷⠾⠚⠛⢳⡀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⣸⠉⠀⠀⠀⢀⣀⣀⣀⣿⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠿⠒⠚⠋⠉⠉⠁⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢤⣤⣤⣤⣤⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⣾⣿⣵⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣡⡀⠀⠀⠀⠀⠀ ⠀⢠⢎⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠉⢒⡂⠤⠄ ⠠⠈⣾⡿⣿⣿⣿⣿⣿⣿⠟⢹⠷⠻⠿⣏⢿⠿⡿⣿⣿⣿⣿⣿⣿⣆⠐⡄⡃⠀ ⠁⣨⠃⣿⣿⣿⣿⣿⣿⣷⣿⣶⠆⢲⠀⠉⠽⣿⣿⣶⢻⣿⣿⣿⣿⣿⣧⣈⠘⠁ ⢀⡏⣦⣿⣿⣿⣿⡏⢬⡛⠩⠥⠀⠀⠀⠀⠀⠯⠯⠵⡜⣿⣿⣷⣽⣿⣿⡿⡝⠢ ⢨⠀⣿⣿⣿⣿⣿⡰⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⣿⣿⣿⣿⣿⣇⠀⠀ ⠘⢄⣰⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠓⠹⣿⣿⣿⣿⣿⣷⣄ ⠀⢃⠉⢹⣿⣿⣿⡿⣷⣄⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⡜⠀⠀⠹⣿⣿⣿⣿⣿⣿ ⠀⠀⠁⡱⣿⣿⣿⣿⣿⡻⣷⣖⠤⠄⠀⠀⠀⡀⠔⢾⠄⠀⠀⠀⠙⣿⡿⣿⣿⣿
⠇⣰⢁⣿⠁⠀⠀⠀⠀⣨⠋⠀⠀⡏⠈⡀⠀⢸⡄⠃⠀⠀⠘⠘⡍⠑⡢⠄⠀⠀ ⢰⡇⣼⡇⢀⠀⠀⡄⡸⠁⢀⠁⠒⠳⠦⠹⣀⡌⠹⡲⡀⠀⠀⡄⡵⠀⠈⠑⠂⠀ ⣿⣿⣿⠅⣾⠀⠀⢧⡇⠉⠁⠈⠉⣦⠀⠀⠹⠃⠢⣇⢱⠀⢠⢀⡇⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⣿⠀⠀⠀⡋⠁⠀⠘⠛⠃⠀⠀⠸⢉⠁⢀⣿⢀⢯⣞⡀⠀⠀⠀⠀⠀ ⣿⣿⣷⣼⣿⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡦⣸⠃⠉⣀⠀⠹⠀⠒⠦⢤ ⣿⣿⣿⢸⣿⠀⠀⣄⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣾⣿⠀⠀⣾⠃⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⡇⢰⡇⠀⠀⠀⣄⠀⠈ ⠛⠉⠉⠹⣿⠂⠀⢻⠦⣈⠗⠤⣀⡀⠀⠀⣀⣴⣾⣿⠛⡇⣼⡇⠀⠀⠀⣿⣥⣽ ⠀⠀⠀⠀⠈⢧⠀⢸⠀⠀⢀⡋⠛⠻⣿⣿⠟⣿⣿⢏⣼⣷⣿⡇⠀⠀⠀⣿⣿⣿
⠀⣗⡠⠂⠀⠀⠀⠀⢀⠔⠡⠀⠀⠀⠀⢃⠀⠑⡀⠀⠀⠀⠀⠑⡀⠘⡇⠀⠀⠁ ⠀⠼⡑⠀⠑⠁⠀⡠⠋⠀⡠⠄⠀⠀⠀⡘⠀⡧⡸⡀⠀⠀⠀⠐⡱⡀⠣⠀⠈⠀ ⠀⠃⢀⠎⠀⠀⡔⠁⢀⠚⠀⠐⠀⠀⠀⢀⡇⡇⠈⠻⡄⠀⠀⠀⠰⣡⠘⡄⡢⠀ ⠀⢠⡿⠄⠀⡜⠀⡔⢁⠀⠀⠀⠠⠀⠀⠘⠀⠀⠀⠀⠈⢢⡄⠀⠀⢡⠆⢣⡇⠀ ⠀⢹⡇⠀⡘⢀⠌⠀⣀⣳⣄⣀⣀⡡⠀⠀⢸⣄⣀⣠⣴⣋⠈⠢⡀⠀⡆⢸⣷⠀ ⠀⣿⡇⢠⠀⡎⢠⡞⣯⣿⣿⣿⣧⢀⠱⡀⢸⣅⣴⣿⣿⣿⡻⣦⠑⡀⢰⢸⡟⡀ ⢰⠙⡇⠀⠘⡇⣿⢨⣼⣿⣿⣷⠇⠡⠖⠑⡀⡇⢡⣾⣿⣿⣧⢹⡄⡗⡈⢸⡇⢁ ⣷⣾⣿⠀⠘⡇⠻⡜⢖⠭⢟⡒⠁⠀⠀⠀⠘⠃⠛⡢⠭⢝⠎⡾⠀⡇⡄⣾⣿⣶ ⣿⣿⣿⣾⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣷⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠤⠀⠤⠠⠤⠤⠄⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢀⡀⠀⠀⠀⠀⠀⡀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣀⡨⢝⡙⢅⡐⡰⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⣾⣟⣀⣀⣤⣤⣤⣤⣴⣶⣶⣖⣿⣿⣿⣿⣿⣶⣶⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣉⣬⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠙⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⡞⠁⠀⠀⢀⣠⣤⣄⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢠⡞⠀⠀⠀⣰⠟⠁⠀⢸⡆⠀⠠⣀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣧⡴⠻⠆⠀⠀⣸⠇⠀⠀⢀⡾⠀⠀⠀⠀⠙⠢⣀⠙⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⢿⣿⣇⠀⠀⠀⠀⣿⠀⠀⢠⡾⠃⠤⣄⠀⠀⠀⠀⠈⠁⠈⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢻⣿⡀⠀⠀⠀⠘⠳⠾⠋⠀⠀⠀⠈⠳⢦⡀⠀⠀⠀⠀⡏⢻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠹⣿⡆⠀⠹⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⡇⠀⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠲⠤⣤⣞⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢻⡇⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢤⠀⠙⢄⢸⣿⠀⠘⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣷⠀⠀⢀⣤⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⡼⢡⠏⠀⠀⢠⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⢸⡆⢠⡟⠁⠀⢸⠇⠀⠀⠀⠀⣀⣀⣼⣧⣏⠀⠀⢀⡾⣁⣉⡉⠿⠛⠛⠿⠿⢿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣦⡀⠀⠸⣇⣾⠀⠀⠀⡼⣀⡤⠖⠊⠉⠀⠀⠀⠀⠀⠀⣠⠟⠿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿⣿⣿ ⠀⠀⠀⠀⠀⢠⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠻⣷⣄⠀⣿⡼⣄⣠⠞⠋⠁⢀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠁⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠈⠓⠄⠀⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠙⢷⣿⣷⣦⡀⠀⠀⠀⠀⠙⠦⡀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⣼⣿⠶⣤⡀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣶⣦⣾⣽⣿⣿⣿⠷⠦⢤⣤⠤⠤⠔⠚⠉⠀⠀⠀⠀⡠⠤⠴⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⢀⠀⠉⠓⠃⠂⣘⠷⣲⠆⠀⠈⠉⠛⠛⠳⠤⠤⠬⠭⠿⠟⢒⠒⠋⠈⠉⠓⠒⠒⠦⠤⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⢸⠀⣾⣿⣇⣀⣞⣁⣀⣠⣤⣿⠤⠔⢺⡅⠀⠀⠀⠀⡏⠀⡜⡗⠀⠀⠙⢿⢻⠦⠼⣧⡤⣬⣷⣿⣿⣦⣀⣿⡆⠀⠀⠀⠉⢲⠀⠀⠀⢺⡆⢹⣇⠀⢷ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⣼⢠⣿⡏⣏⢈⡏⠁⠈⠉⣭⠇⠀⠀⠀⢧⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⠈⢿⣇⠀⠀⠳⡄⢹⠀⠹⡌⢻⣹⣿⡄⠀⠀⡀⢸⠀⠀⠀⢸⡄⣸⣿⡀⢸ ⠀⠀⠀⠀⠀⢀⡖⢸⡏⠁⣿⢸⣿⠁⢸⣼⠀⠀⠀⠀⣿⠀⠀⠀⠀⠘⡆⠸⡀⠀⣇⠀⠰⣇⠂⠀⠀⠀⠈⢻⡄⠀⠀⠙⢦⣇⠀⠹⣄⢳⣿⣧⠀⠀⡇⠀⡄⠀⠀⠈⡇⢸⠀⢇⠀ ⠀⢰⠀⠀⠀⡼⠀⢸⡇⠰⣿⠜⣻⠀⠈⡿⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠸⡄⣧⠀⣯⠀⠀⣿⡆⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠻⡄⠀⠘⣆⢹⠸⡆⢸⠃⠀⡇⠀⡄⠀⡇⢸⡇⢸⣠ ⠀⢸⠀⠀⢠⠇⢠⢸⡇⠀⣿⡄⣿⠀⠀⠘⠀⠀⠀⠀⣠⠤⠤⠴⠚⠀⠀⠹⣿⣧⢸⠀⠀⣿⣿⠀⠀⠀⠈⠓⠒⠒⠤⠤⠀⠀⠀⠀⠀⠘⣿⡄⢧⡟⠀⠀⡇⢀⡇⠀⣧⢸⡇⠀⣿ ⠀⢸⠀⠀⢸⠀⢸⡄⡇⠀⠸⣷⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⠶⠆⠀⠀⠙⢿⣿⡇⠀⣿⠸⡄⠀⠀⠚⠿⣷⡶⣶⣶⣶⣶⣤⣤⣤⣤⣼⡇⣾⠃⠀⠀⡇⢸⠁⢰⣿⣸⠁⠀⠘ ⠀⢸⠀⠀⣿⡀⠘⣷⢿⢠⣄⢿⣿⠀⠀⠀⣿⠋⠀⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠙⢿⡆⢹⡀⠃⠀⠀⠀⣸⡃⠀⣼⣿⣿⣿⣿⣇⠀⠀⣼⢡⡏⠀⠀⢰⠃⡟⠀⢸⣿⣿⠀⠀⠀ ⠀⢸⠀⢠⣿⡇⠀⣿⡏⠀⢹⣾⡏⠀⠀⠀⣿⣶⣶⣿⣿⡏⣽⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⣜⡇⠀⠀⠀⠀⢹⣿⡟⣿⣿⣿⢹⣿⡿⠀⢀⣿⣾⠁⠀⢀⣾⣸⡇⠀⣾⣿⡇⠀⠀⠀ ⠀⠘⡇⢸⣿⣷⠀⣿⢻⡀⠐⣿⣿⡀⠀⠀⢿⣿⣿⣟⣻⣋⣉⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠘⣿⣷⣌⣛⣿⣞⡛⠃⠀⣼⣿⠃⠀⣰⢿⣿⢿⠁⢰⣿⣿⠀⠀⠀⠀ ⠀⠀⣷⣸⣿⣿⡆⣿⠀⢷⡀⢻⣿⢷⡀⠀⠈⠿⠿⠿⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠻⠏⠀⣠⢏⣟⠀⣴⡿⣻⠏⢸⢠⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠉⠿⠿⠿⢿⣿⠀⠈⢷⡘⣿⡈⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣃⣼⣿⣵⡏⠀⣿⡟⠉⠉⠉⠀⠀⠀⠀ ⠀⠀⠤⠤⠤⢤⢤⣿⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⣿⡿⢻⡇⢰⣿⣀⣀⣀⣀⡀⠀⠀⠀ ⠀⢠⣀⣈⣀⣹⣿⣿⠀⠀⢸⡟⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣿⣷⠟⠀⣸⠁⢠⣟⣉⣉⣙⣉⣯⠀⠀⠀ ⠀⠀⠼⠿⠿⠿⢿⣿⠀⠀⠈⡇⠘⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢰⣿⠇⠀⠀⡟⠀⢸⡟⠛⠛⠛⠛⠛⠀⠀⠀ ⠀⠐⠒⠒⠒⠒⠚⣿⠀⠀⠀⣷⠀⣿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⢰⡇⠀⣸⠷⠒⠒⠒⠒⠒⠂⠀⠀ ⠀⣇⣤⣤⣤⣤⣤⡟⢠⠀⠀⢹⡀⢸⡇⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇⠀⠀⣼⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣾⡇⣾⠀⠀⠸⣇⠀⣿⣶⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠰⠦⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠁⢀⢠⡇⢀⡇⣿⣶⣶⣶⣶⣶⣶⣶⣦⠀ ⠀⣿⣿⣿⣿⣿⣿⣇⣿⠀⠀⠀⣿⡆⢹⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⡿⢀⣿⣿⠁⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄ ⢀⡿⠿⢿⠿⠿⠿⢻⣿⡆⠀⠀⢸⣿⡘⣿⠿⠿⠿⣿⣿⣿⣿⣷⡶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⠏⠀⡏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠞⣠⠏⣠⠿⣾⠁⠂⣠⡴⣫⣾⡿⢱⡿⠋⠀⠀⢸⡇⠀⢻⣿⡀⠀⡿⢿⣿⡄⠀⢻⣷⡄⠀⠘⣷⡄⠀⢳⡀⠺⣄⠃⢺⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⢀⡞⣡⡾⠋⠀⢀⣠⡾⢋⣴⡿⠃⣤⡿⠁⠀⠀⠀⠀⣿⠀⠘⣿⣷⠀⢱⠈⢿⣿⡄⠸⣿⣿⣆⠀⠸⣿⡀⠈⣧⡀⢿⣆⠀⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢡⣿⣿⡟⠁⣠⣴⣿⡿⢁⣾⡟⠁⢸⣿⠁⠀⠀⠀⠀⠀⢻⡇⠀⢸⣿⣇⢸⡀⠈⢿⣿⡀⠁⢿⣿⡆⠀⢿⣷⡀⠘⣧⠈⢿⡄⢢⢹⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣥⠟⣹⣏⣴⡾⠟⣿⣿⢃⣾⠏⠀⠀⣿⠇⠀⠀⠀⠀⠀⠠⢼⣷⠄⠀⠹⣿⡄⡇⠀⣀⢻⣷⡆⠈⢻⣿⡄⠘⣿⣷⠀⢹⢷⡀⢳⠈⣧⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢫⢀⣴⣿⣿⡟⠀⣸⣿⢋⣾⠏⠀⢀⣠⣯⣤⣤⣤⣤⣤⢤⣤⣀⣳⠀⠀⠀⠹⣿⣼⠀⠈⠻⢿⣿⠀⠀⢻⣿⡀⢻⣿⣧⢸⡈⢿⣌⢧⠸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⠾⠋⣿⣿⠇⢰⣿⠃⣾⠏⠀⣾⣿⣿⣯⣬⣿⣯⣽⣿⣾⣿⣿⡿⠀⠀⠀⠀⠹⣿⣧⣤⣤⣤⣿⣇⡀⠀⢻⣷⡀⢻⣿⡆⣷⡈⢿⣮⣷⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠀⢸⣿⣿⢀⣿⠃⢰⠏⠀⠀⠙⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣧⣬⣿⡿⣷⢠⣿⣏⠈⢿⣷⣿⣷⡈⣿⡿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢸⠟⢻⣸⠓⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠀⠀⠈⠉⠛⠿⣿⣿⣿⠀⠙⣿⣿⣿⣿⣜⣧⠈⠛⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡏⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠄⠀⣿⣿⣿⠙⢿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣇⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠹⣟⠀⠄⡿⠙⠷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣏⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣸⣿⣦⡀⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⣿⣿⢉⣿⣶⣬⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠟⠋⠉⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠁⢰⣿⠃⣾⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠒⠋⠉⠙⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠛⢩⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠁⠀⡾⠃⠀⢻⡿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢺⠏⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣀⣤⣴⣿⣿⣿⣿⣿⣿⠿⠛⠙⣇⠻⣿⡏⣿⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣾⣿⣿⣿⣶⣶⣶⣶⣤⣄⣀⣀ ⠉⠉⠉⠉⠉⠉⠉⣹⠟⠀⠠⣄⠀⠈⠀⠙⣇⢹⣄⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡬⠶⠛⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣛⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠹⡇⠀⠘⢿⣶⣼⣷⣶⣤⡄⠀⢀⣠⠤⠒⠚⠻⣦⡘⢷⡀⠀⣀⡀⠀⣀⡴⠚⣿⠟⠟⠀⠀⠉⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠈⠳⠄⠀⠀⢦⠻⠀⠀⠀⠙⢿⣇⣉⣹⠇⠴⢋⣠⠔⠊⠳⢤⡈⠛⠆⣹⣿⣿⣷⠞⠉⠀⢸⡋⠀⠀⠀⠀⠀⠀⠀⠬⢿⡆⠀⠀⠀⠐⠀⠒⠂
⠀⠀⢸⡆⠀⠀⣰⠋⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⣠⡾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠘⣧⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣧⢄⡾⠁⠀⠀⠀⡴⢋⠐⠀⠀⠀⠀⠀⢀⡴⠋⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⢠⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠹⣆⠀⠀⠈⣿⡀⠀⠀⠀⠀⡈⡇⠀ ⠀⠀⠸⣿⡟⣠⠀⠀⢀⠞⣡⠎⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⢸⣆⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠹⡆⠀⠀⠸⣧⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⢸⡟⢠⠁⠀⢠⠏⣰⠃⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⢠⡀⢿⠀⢸⡍⠳⣄⡘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⢻⡄⠀⠀⢻⡄⠀⠀⠀⢇⠀⠀ ⠀⠀⣸⠠⠃⠀⢠⠏⡼⠁⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⣠⠞⠁⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠁⢸⡄⠸⡇⠀⠈⠛⢮⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⢷⡀⠀⠈⣧⠀⠀⣰⠘⠀⠀ ⠀⠀⠃⠀⠀⢠⡎⣸⠁⠀⠀⠀⠀⣴⠏⠀⠀⠀⣠⠞⠁⠀⣠⠔⠀⠉⣇⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⡇⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢳⠘⣧⠀⠀⢹⡆⠰⢩⠐⠀⠀ ⠀⠀⠀⠀⣰⣿⢀⠇⠀⠀⠀⠀⣼⠋⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⡄⣧⠀⣇⠀⠀⠀⠀⠀⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⢇⢹⡄⠀⠈⣷⠀⡟⠂⠀⠀ ⠀⠀⠀⣼⣿⡇⠸⠀⠀⠀⠀⣼⠃⠀⠀⢠⡞⠁⢦⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⢻⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡆⠀⠀⠀⠀⠀⠘⡄⣷⠀⠀⢻⡆⡇⠀⠀⠀ ⠀⠀⣼⣿⣿⡇⡇⠀⠀⠀⣸⠃⠀⠀⣰⠏⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢸⡆⣿⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠙⢦⡀⠀⠀⠀⠀⢣⢸⡆⠀⠘⣿⣷⡀⠀⠀ ⠀⠀⠁⣿⣿⠀⠃⠀⠀⢠⡏⠀⠀⣼⠃⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⣀⣽⡄⠀⠀⠀⠀⠸⣧⣿⡀⠀⠀⢀⣀⣤⡾⠟⠁⠀⠀⠀⠱⣄⠀⠀⠀⠈⡆⣷⠀⠀⣿⣿⣇⠀⠀ ⠀⠂⢸⣿⣿⠀⠀⠀⠀⡾⠀⠀⡼⠃⠀⢀⣤⣶⣾⣿⡿⢿⣿⣿⣟⡿⡿⠛⠋⠀⠹⡄⠀⠀⠀⠀⣧⣿⠙⠛⢛⣿⣿⣿⡿⣿⣿⣷⣦⣄⠀⠈⢷⡀⠀⠀⢱⢸⡄⠀⣿⡇⢿⠀⠀ ⠐⠀⣼⢹⣿⠀⠀⠀⢸⠇⠀⣼⠁⠀⣴⣿⡿⢋⣵⣾⣿⣿⣷⣿⡻⣿⣮⡳⠀⠀⠀⠹⣄⠀⠀⠀⣿⣿⣠⣶⡿⣿⣷⣿⣿⣿⣷⣍⠻⣿⣷⡄⠀⢳⡀⠀⠀⡈⣇⠀⣿⡇⢸⡆⠀ ⠀⢠⡏⢸⣿⠀⠀⠀⣿⠀⢰⡟⠀⣰⣿⠏⣠⠟⠻⣿⢿⣿⣿⣿⣿⡎⢿⡿⢆⠞⠀⠀⠜⣆⠀⠀⢻⡟⣿⢋⠞⠉⢻⣿⣿⣿⣿⣿⣷⠈⢿⣿⡀⠘⣷⡄⠀⠀⣿⠀⣿⡇⠈⡇⠀ ⠀⣸⠃⠘⣿⡆⠀⠀⡇⠀⢿⡇⠀⣿⣿⠀⣧⣀⣼⢿⣿⣿⣿⣿⣿⣿⢀⠁⠀⠀⡴⡴⠀⠈⢧⠀⢸⡇⠁⢸⣄⣴⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇⠀⣧⢻⡀⠀⢹⠀⣿⡇⠀⢰⠀ ⢠⡏⠀⢀⣿⣧⠀⠈⠁⡈⢸⡇⠀⣿⣿⠀⣿⡿⡟⢿⣿⣟⢻⣿⠟⣿⢀⠀⠀⠈⠈⠀⠀⠀⠈⢳⣸⡇⠀⣸⣿⠻⠻⣿⣿⣛⣿⡿⢻⡇⢸⣿⡇⠀⡏⠈⢷⡀⢸⣦⣿⣇⣀⠀⠂ ⣾⣾⣿⣿⣿⣿⡀⠀⠀⠀⡾⣧⠀⠸⣿⣇⠹⣿⠶⣤⣈⣉⣽⠿⢷⠏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠇⠀⠁⢿⠷⢦⣌⣉⣉⡽⠷⡾⢁⣾⡿⠀⢀⣿⠀⠘⣇⢸⣿⣿⣿⣿⣿⣦ ⣿⣿⣿⣿⣿⣿⡇⠀⣬⠀⠰⡏⠀⠀⠈⠛⠀⠈⠒⠦⠭⠭⠤⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠬⣭⠥⠴⠚⠁⠉⠋⠀⠀⠈⣿⠀⣠⣿⣠⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⣿⣷⣼⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠉⠙⠚⠉⠉⠀⠀⠀⠉⠁⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣕⡲⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠴⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠇⠀⠀⠈⠉⢉⣽⠟⢿⣍⠉⠉⣀⡔⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠨⠷⣄⣀⣠⠞⠋⠥⠤⠤⠸⠳⢮⣉⣀⡴⠋⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⢀⣶⣿⠃⢰⠋⠘⢻⠇⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢸⡇⡾⢣⢸⠃⡇⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡄⠀⠀⡇⠈⢳⠀⠀⠀⢸⡇⠀⣦⡀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠘⠁⠀⠀ ⣾⣿⣿⠀⡟⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣀⣼⣧⡇⠸⡆⠀⣧⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣷⠀⠀⡇⠀⠈⣇⠀⠀⠈⣷⡀⢸⣷⡄⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢸⠃⠀⠀⡏⠀⠀⠀⠀⣀⡀⠀⢸⡇⠀⠀⣿⡟⣿⣷⡀⣿⠀⢹⡄⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⠀⢠⡇⢀⡀⢸⡄⠀⠀⡏⢷⠈⣿⣿⣆⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⡇⣄⠀⠀⠀⣾⠁⠀⣸⣧⠀⢸⣿⡇⢻⣸⡧⣿⣇⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣾⣿⠀⣸⠀⡼⢹⠀⣷⠀⢸⡇⠸⡆⣿⣿⣿⣆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠇⠀⠀⠰⡇⢿⠀⠀⠀⣿⡄⢰⣿⣹⣄⢸⣿⠃⠘⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣀⣏⣸⣁⣈⣇⣹⣄⣸⢸⣄⣷⣿⡿⣿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⢸⠀⠀⠀⠀⣷⣼⡄⠀⢰⣿⣇⠈⣿⡟⢿⠙⣿⠉⠉⢻⣿⣿⣿⣷⣸⣇⠀⠀⣼⣿⣿⣿⣿⢹⣿⣿⢿⠏⠉⠉⢹⠙⣯⡟⠀⣇⢸⣿⡇⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠘⠀⠀⠀⠀⢻⣿⣧⠀⢸⣿⣿⣆⣿⡇⠘⣷⡿⠀⠀⠀⢿⣟⣿⣿⣿⣿⡆⣰⣿⣿⣿⣿⠇⣼⣿⣿⠏⠀⠀⠀⠈⡇⢿⠇⠀⢸⡈⣿⠣⡀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⡀⢸⣿⣇⠹⣿⡇⠀⠘⢧⠀⠀⠀⠀⢻⡘⣿⣿⣿⣿⣿⣿⣿⣿⣏⡞⣹⣿⠏⠀⠀⡀⠀⠀⣿⠘⠀⠀⠀⡇⣿⠀⢧⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡞⣧⢸⣿⣿⡄⠙⣦⣴⣶⣾⡖⣶⣤⣄⡐⠧⡈⢿⣿⣿⣿⣿⣼⣿⠏⠀⠁⢡⠴⣚⣩⣴⣶⣾⣟⣙⣿⣶⣶⡷⠇⠀⠸⡄⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠾⣿⣿⣿⣷⣸⠋⠉⠉⠉⠉⠉⠛⠛⠿⢷⣦⡀⠙⢿⡿⢀⡟⠁⠀⠀⠀⢀⡾⠿⠟⠛⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⣧⢻⡇⠀⠀⠀⠀⠀⠀⢀⣿ ⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠛⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠴⠂⢹⣿⢠⠀⠀⠀⠀⠀⢀⣿⣿ ⠀⠀⠀⡇⠀⠘⠀⠀⠀⣀⡀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⣠⡶⠀⣀⣄⣀⢈⣿⣿ ⠀⠀⠀⢳⠀⣷⣄⣠⣤⣾⣧⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⣶⡿⣁⣀⣽⣿⣿⣿⣿⣿ ⠀⠀⠀⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣿⡿⣿⣷⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠘⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡵⣿⣡⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣠⡄⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⢉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⣶⣶⣞⣛⣉⣥⡤⠼⢿⣿⡆⠀⠀⠀⠀⠀⠈⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢈⡟⠀⠀⠀⠀⠀⠀⣠⠾⠋⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢳⣦⣄⣀⡀⠀⠀⠉⠓⠒⠋⠉⠉⠉⠉⠉⠓⠒⠚⢉⡀⠀⠀⣀⣠⠶⢋⠁⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢡⣾⣿⣷⣦⡰⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⣽⣿⣿⣿⣷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣟⢿⣿⣿⣿⣿⣿⠟⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣷⢹⣿⣿⣿⣿⣿⣿⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⡞⣿⣿⣿⣿⣿⣿⠇⡀⣭⠉⠁⣿⠛⢿⡟⠀⠀⠀⠀⠀⠀ ⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡝⢿⣿⣿⡿⠏⠀⠻⠊⠁⠈⣿⡄⡼⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣶⢶⣦⣤⣀⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡟⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣶⣄⣀⣀⠀⠀⣀⣠⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣼⣾⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠆⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣤⣶⣶ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⢀⣀⣀⣈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣰⣿⣿⣿⣿ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⡾⢋⣡⣤⣤⣭⡙⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⣛⣛⡛⠳⣦⡀⠈⣿⣿⣿⣿⣿⣿⣏⠙⢿⠃⠀⠀⣴⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⡿⢱⠋⠀⢹⣿⣿⣿⣆⣿⠛⠀⠀⠀⠀⠀⣴⠿⣿⡵⠋⢻⣿⣿⣷⣎⢻⣆⣿⣿⣿⣿⣿⣿⡏⢳⢸⡆⠀⣼⣿⣿⣿⡿⠟⠛ ⠀⠀⣿⣿⣿⣿⡿⣵⣶⡶⠦⢼⣿⣿⣿⣿⣿⣿⣿⡇⢸⣦⣤⣾⣿⡿⢿⣿⢹⡀⠀⢠⣿⢏⡼⣡⢰⣿⡁⠀⣰⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⠇⠈⣸⣁⣠⣿⣿⡿⠋⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢻⡘⣿⣿⣿⣿⣿⣧⠸⣿⣄⣹⢿⣃⣼⣿⡞⠀⡀⡼⢡⡞⡴⢡⠞⡇⢿⡝⢿⣿⣿⠃⣹⡇⢿⣿⣿⣿⡿⠟⠛⠛⠒⠿⣭⣿⡍⠛⠀⠀⠀⠀⠀ ⠛⠛⠻⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⠃⠘⢿⣿⣿⡹⣿⡆⠈⠙⠛⠛⣛⡩⠞⠁⠈⠈⠀⠋⠼⠁⡡⠂⠹⣌⠻⠿⣿⣿⠿⠋⠀⣸⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⠀⠀⠀⠀ ⠂⠀⠀⠻⣿⡇⠀⠀⠀⡄⠀⠀⡀⠀⠀⠀⠉⢻⣧⡈⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⢰⣿⡟⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀ ⠉⠁⠀⢰⡟⡇⢸⠀⠀⡇⠀⠀⡇⠀⠀⠀⡇⠀⢹⡝⠀⠀⠀⢸⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣸⣿⠀⠀⢀⡎⠀⠀⡞⠀⠀⡤⠀⠀⢠⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣷⣤⣧⠤⣷⡤⠴⣷⠤⠤⠔⣷⣴⡾⠉⠢⣀⠀⠘⡷⠒⠒⠒⠒⠊⠉⠛⠛⠿⠿⠶⠤⣀⣓⣒⣲⡇⠀⠀⢰⣿⣿⣄⣀⣼⠀⠀⡸⠁⠀⡼⠁⠀⢀⡾⢃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠦⠼⢧⡤⠽⢤⣴⠾⠋⠁⠀⠀⠀⠈⠉⠑⠛⠦⠤⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣭⠀⠊⠠⠋⠉⠛⠳⣌⣻⡓⠚⣧⠤⣴⡇⠀⣀⣞⣤⣾⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠃⠀⠈⣉⡯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠛⠛⠿⣟⠛⠋⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠉⠀⠀⢰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠴⡞⠀⠀⠀⠀⠀⠀
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⣿⠃⠀⢠⡟⠀⣠⣿⣿⠉⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⢛⡶⠋⠀⠀⠀⠀⢿⡟⠀⠘⣇⠀⠀⠈⠉⠠⣾⡀⠀⢿⡇⠀⠀⠀⠀⠀⢹⠘⠆⢻⡉⠛⠲⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⣤⣿⠅⣀⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡏⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠹⡆⠀⠀⠀⠠⣿⣷⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠲⠤⣄⡈⠉⠛⠶⢤⡀⠀⠀⠀ ⠀⢈⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠈⠉⠒⠦⢤⣀⣀⣈⣧⣀⠀⠀⢻⡆⠀⠀⠀⡏⢻⣇⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠉⠙⠲⢤⣀⡀⠀⠀⠀ ⠀⣿⣿⡇⣸⣿⣿⡏⠀⢀⡄⠀⠀⠀⠀⢀⡆⢀⡾⠃⠀⠀⢀⣀⡀⠀⠀⠈⠉⠻⠛⠛⠃⠈⣷⡠⢀⣼⠃⠀⢹⡄⡟⣧⠀⠀⠀⠀⠀⡆⣷⠀⢸⡇⠀⠀⠀⠀⠀⠀⠈⠉⠐⠠⠀ ⣼⣿⣿⢡⣿⣿⣿⠃⠀⣸⡇⠀⠀⠀⠀⢸⣇⣼⢁⣴⠞⠛⠋⠉⠙⠛⠲⢶⣄⠀⠀⠀⠀⠀⠘⣷⡈⣿⣆⠀⠀⢻⡇⠸⣇⠀⠀⠀⠀⡇⡟⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⡆⢰⣿⡇⠀⠀⠀⠀⠀⣿⣿⡆⠀⣀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠘⣿⡇⠈⠙⠦⣈⣇⠀⣻⠀⠀⠀⢰⠇⡇⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⣼⠁⢸⣿⡇⠀⠀⠀⠀⣤⠙⢫⡷⢤⣞⠀⠉⠓⢒⡒⣤⣤⣬⡭⠁⠀⠀⠀⠀⢀⡼⠗⠲⠦⣄⡀⠙⢀⣿⡆⠀⢠⡾⢸⡇⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠀⣿⠀⣹⣿⡇⠀⠀⠀⠀⡿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠸⣦⠀⠀⠀⠀⠙⣦⣼⣿⣧⢀⣼⠃⣾⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡄⣿⠀⣿⣿⡇⠀⠀⠀⠀⡷⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣄⠀⠙⠻⣿⣿⣾⢃⡼⢿⠏⢻⠒⠶⢤⣄⡀⠀⢀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⣿⢲⣿⣿⡇⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⡷⣦⣀⣾⡟⠃⠈⠁⣾⡀⠀⡄⠀⠀⠘⡇⠀⢻⠻⠷⢶⣦⣀⣀ ⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠘⣿⡇⠀⠀⠀⢸⣿⠛⠃⠀⠀⠀⡇⠀⠙⠀⠀⠀⠈⠉⠉ ⣿⣿⣿⣿⣿⣿⣧⠀⣿⣿⡇⠀⠀⠀⠀⠀⡄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⡀⠀⠀⢸⡿⠀⠀⠀⠀⠀⡇⠒⣀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢻⡄⠀⠀⢸⡇⠀⠀⠀⠀⠀⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣧⠀⠀⠀⠀⢠⣿⡟⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠀⢸⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⠁⠀⣿⠐⠀⠀⠀⠠⠀ ⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⠀⠀⠀⠀⢸⣿⠁⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠇⠁⢀⣾⡇⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣀⡀⢠⣄ ⠿⠟⠛⠛⠛⠉⠉⠹⣿⣿⣿⡗⠀⠀⠀⠈⣿⣧⡀⠀⠈⢙⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⢿⣿⡇⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣭⣽⣿⣗⣻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⢻⣿⡇⠀⠀⠀⠀⣿⡄⠙⠳⠶⠛⠁⢀⣉⠙⠳⣶⣤⣤⣄⣀⣀⣀⣤⣴⡟⣿⣿⣿⣿⣿⣿⠏⠀⣿⡇⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠈⣽⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⡟⠀⣰⣿⣇⣸⣿⢻⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣼⣧⠀⠀⠙⠄⠙⢿⣿⣿⣿⡿⠃⣼⣿⣿⣿⣿⡟⢀⣴⣿⣭⣿⣛⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀ ⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠹⡄⠀⠀⠀ ⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⠃⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⢀⢸⡀⠀⠀⠀⠀⢹⡀⠀⠀ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡴⣰⡏⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⢀⠀⢀⡇⢸⠁⠀⠀⣼⢸⡇⠀⠀⠀⠀⠀⢧⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⣠⠞⠁⣴⢣⢿⡁⠀⠀⠀⡀⢰⣧⠀⡄⠀⢀⡞⠀⢸⠁⣾⠀⠀⣰⠃⣸⠀⠀⠀⠀⠀⠀⠸⠀⠀ ⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡁⣴⠋⢀⡞⣹⡟⢸⡇⠀⠀⢰⠃⡞⢸⡆⣇⠀⡼⡇⠀⣼⢰⡿⠀⣰⠇⢀⡏⡄⠀⢀⠀⣇⠀⠀⠀⠠ ⡇⠀⠀⠀⢀⡆⠀⠀⠀⡾⡟⣼⢣⠀⣾⣤⣿⠃⠈⣧⠀⠀⢸⢰⠁⠈⣧⠏⡻⢥⡇⢰⢯⢿⣇⡼⢻⠀⣼⠀⠇⠀⢸⠀⣗⠀⠀⠀⠠ ⡇⠀⠀⠀⣼⠁⠀⠀⢸⣣⣷⣿⡾⢾⠛⡉⡏⠀⠀⢸⡄⠀⢸⣼⠀⠀⢻⡼⠁⢸⣹⠿⢯⣼⡟⠀⢸⢰⡇⠀⠀⠀⣼⢀⡏⠀⠀⠀⠈ ⡇⠀⠀⢰⡇⠀⠀⠀⡿⣽⠃⣿⡧⠞⠀⣷⣇⠀⠀⠀⢳⡀⢸⣿⡀⠀⠾⠀⣠⣬⣤⡀⠰⠃⠉⠉⢻⡏⡇⠀⠀⢀⡇⢸⡇⠀⠀⠀⠀ ⡇⠀⠀⣾⡇⠀⠀⢰⡇⡿⣶⣿⣿⣷⣶⣿⣿⣿⡆⠀⠀⢳⡀⣯⣧⠀⠀⣾⣿⣿⢿⣿⣿⣷⣶⣤⣉⣠⣇⡀⠀⡼⠀⣼⠁⠀⠀⠀⠀ ⣇⠀⢸⡏⡇⠀⠀⣼⢷⣿⠿⢻⡿⠟⠛⠛⠋⠛⢷⣶⠀⠀⠳⣼⡙⠳⣄⣿⡽⢿⡟⠀⠀⠉⠙⠿⣏⣿⠋⠀⡼⠁⢰⡿⠀⠀⢸⠀⠀ ⢸⠀⣸⣇⣇⠀⠀⣿⡼⣧⠖⠉⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠙⠃⠙⢻⡇⠸⣧⠀⠀⠀⠀⠀⠈⣿⣆⡼⠁⠀⣼⠇⠀⢠⠇⠀⠀ ⢸⡆⣿⣾⢻⠀⠀⣽⠣⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⢸⠸⠰⣿⡄⠀⠀⠀⠀⢸⣟⣿⠁⠀⣰⡟⢀⣤⡟⠀⠀⠀ ⠸⣇⡏⠹⡿⡆⠀⣿⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠀⡴⢳⠃⡾⡾⠀⠀⠀⠀ ⠀⢹⡇⠀⢹⣷⠀⣷⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠘⠃⢹⠇⡼⢁⡏⣼⡿⠁⠀⠀⠀⠀ ⠀⠈⣷⠀⠈⣿⡆⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠛⠉⠉⠉⠉⠉⠓⣾⣿⡀⠀⠀⠀⠀⠀⠀⣿⡼⠁⡼⣸⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠘⠦⠀⠘⣿⡜⡾⣿⣀⣀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡷⠶⠶⠿⠿⢿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣸⣿⡥⢺⣱⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣵⠻⣿⡃⠀⠀⠀⠀⢠⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⠀⠀⠀⠀⠀⣿⠏⢠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠑⢦⡀⠀⠀⠀⠻⢽⣦⡤⣀⣀⣀⣀⣀⡤⣴⣲⠿⠋⠀⠀⠀⢀⡼⠛⠐⢋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠀⠙⢦⡀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡴⠋⠀⣠⢾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⣰⣿⣼⢻⣿⡭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣟⡾⣣⡆⢠⣿⣿⣿⢿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣾⣿⣿⣿⣻⣿⡿⣿⣿⣿⣧⡈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⡿⣿⣵⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣻⡄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠋⣸⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⢻⡗⠲⢷⣤⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⢀⣴⣿⣿⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⠢⣤⣯⣍⡙⠒⠒⠤⠤ ⠀⠀⡼⢻⠁⡞⣿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡇⢻⣿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⢌⠙⢦⣽⠶⠤⣀⡀ ⠀⡼⠁⣮⣸⣼⠏⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠉⠀⢿⣿⠗⠆⣻⣿⢿⣿⣿⡘⢿⡉⠻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⢷⡦⣈⠓⠦⣄⡀ ⡼⠁⠀⣿⢿⡟⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⣿⣡⣤⣚⣁⣈⣀⣀⣀⣀⣀⣤⠬⠽⠥⠬⣷⣶⣶⣿⣦⣬⣙⣻⣿⣿⣿⣿⣿⡈⢿⣿⣿⣿⣯⢿⣦⠰⡀⠙⠮⣝⠲⠤⠀ ⠃⠀⢀⣿⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠈⢿⡀⠀⠀⠀⢠⣾⠿⣿⣿⣿⣿⣿⣶⣍⣻⣿⣿⣿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣷⣷⠀⠀⠈⠙⠲⠄ ⠀⠀⣼⣿⠃⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⢿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠈⣛⣿⢿⠿⢿⠟⠋⢻⣿⣿⣿⣿⣿⣧⡘⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀ ⠀⢰⣿⡏⢈⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⠳⣠⣞⣛⣋⣈⣍⣵⡶⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠲⠿⠦⠾⣤⡦⣞⣤⠎⣿⣿⣿⣿⣿⣿⣷⣌⢿⣿⣿⣿⣿⣿⣿⣷⡈⠙⠳⠦ ⠀⢸⣿⠀⢸⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⠈⣇⠀⠙⣾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠹⣄⠀⠀ ⠀⢸⡇⠀⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠀⠀ ⠀⣾⡇⠀⠸⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠟⢁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠁ ⠀⠛⣷⡀⠀⡇⢻⡟⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠁⠀⢀⡿⠉⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠆ ⠀⠀⢹⠙⢦⣹⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤ ⠀⠀⠘⡆⠀⠹⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠹⡄⠀⠹⡄⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠙⣄⠀⢹⡸⣿⣿⣿⣿⣿⣿⣿⣿⣧⡙⢿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠈⠓⢄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣙⣿⣿⣿⣦⣍⠙⠛⠒⠶⠤⠄⠀⠀⠀⠀⢀⣠⠔⠋⢹⠀⠹⡝⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣬⣻⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⣠⠟⠁⢠⠏⠀⠀⠀⠀⢀⡜⠋⠀⡰⢃⣾⠋⠁⢠⣾⣿⠟⠀⠀⣰⡿⠁⠀⡿⡆⠀⠀⠘⠘⡇⠀⢸⠀⠀⢻⡀⠀⠈⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⣠⠀⡴⣴⠋⠀⠀⡎⢠⠀⠀⠀⢀⡞⠀⠀⡼⢁⡾⠁⠀⣰⡿⢫⠏⠀⠀⣼⣿⠃⠀⣰⢿⠀⠀⠀⢰⠀⡇⠀⠀⠁⡇⠈⡇⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⡼⢠⠃⢰⣳⠃⠀⢰⣾⢃⡇⠀⠀⠀⡼⠁⠀⣰⠁⣾⠃⠀⣴⠏⠀⡎⠀⢀⡜⣹⠃⠀⢠⢿⡜⠀⠀⠀⢸⢠⡇⠀⢰⠀⡇⠀⢹⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⢰⢃⡏⢀⡷⠁⠀⢠⣿⡏⡼⠀⠀⠀⣰⠃⠀⢠⠇⣼⠇⢀⣼⣯⣤⡼⠀⣠⣾⣲⡏⠀⢠⢟⣿⡇⠀⠀⡀⡇⡼⡇⠀⢸⡀⠐⠀⢸⠀⠀⠀⢰⢳⠀⠀ ⠀⠀⠀⠀⠀⣾⠇⡞⡼⠀⡼⠁⠀⢀⣾⡿⢠⠇⠀⠀⢰⡿⠀⢠⠏⣼⡏⢠⢞⣉⣀⡈⢁⣼⠥⢤⣾⠀⢠⠋⠀⣽⠃⠀⠀⣹⢀⣇⡟⠀⡼⡇⡀⠀⢸⡄⠀⠀⠈⡞⡆⠀ ⠀⠀⠀⠀⢰⡟⠀⣷⣇⠞⠀⠀⢠⡞⣼⡇⣾⠀⠀⢠⡏⡇⠀⡾⣰⣳⢡⠿⢶⣶⣿⣰⣿⣿⣿⢿⡇⢠⠋⠀⠀⣿⠀⠀⣰⣏⡞⠐⡇⢠⣇⡇⡇⠀⢸⡁⢠⠀⢰⡟⣇⠀ ⠀⠀⠀⠀⣿⣿⠀⣿⠏⠀⠀⢠⣿⣹⠏⡇⣿⠀⠀⡼⠀⡇⢸⣧⠟⢿⡋⠠⠾⠿⠿⠿⠿⠿⠖⢸⣰⠃⠀⠀⢰⡏⠀⡴⢻⣿⣷⣤⣇⡜⠉⢿⡇⠀⢸⠀⢸⠀⢸⢧⢸⠀ ⠀⠀⠀⠀⡏⡟⣰⠃⠀⠀⢠⠏⢡⡟⠀⣿⣿⠀⢰⡇⠀⣇⣿⡟⠀⣉⣳⠀⠀⠀⠠⣤⣶⠚⢉⣿⠃⠀⠀⢀⣿⠇⡼⢁⠟⠈⢹⣿⣿⣶⣤⣿⡇⠀⣼⡇⢸⠀⢸⠚⣼⠀ ⠀⠀⠀⠀⠃⡿⠁⠀⠀⣰⠃⢰⣿⠁⠀⢻⢻⠀⢸⡇⠀⣿⢻⣇⠀⠈⡟⢦⣄⠀⢸⠁⠉⠳⠾⠃⠀⠀⠀⢼⣿⡼⠉⡏⠀⠹⣍⠛⠿⣏⣙⣿⠇⢰⢻⡇⡏⠀⡿⠀⡿⠀ ⠀⠀⠀⢐⡞⠁⠀⠀⡴⠁⢀⢯⣿⠀⢀⣼⣿⡇⢸⡇⠀⢿⠈⠁⠀⢀⠃⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠀⠀⢣⠀⠀⠈⢷⣀⣀⣹⣻⢀⡞⣼⣡⡇⡸⠁⢀⡇⠀ ⠀⠀⢀⡞⠀⠀⠀⡼⠁⠀⣼⡏⡏⢀⣾⣽⣿⢱⣹⣿⡀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⣈⡿⡏⠁⣇⣾⡟⣿⣿⣰⠃⠀⠸⠀⠀ ⠀⠀⣼⠄⠀⣀⡾⠀⠀⢰⡿⠀⣇⣸⠱⣼⡟⠊⢿⣷⣇⢀⡴⡆⠀⣄⡀⠀⠀⠈⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠁⠁⣸⣿⠿⣷⣏⡿⠃⠀⠀⠂⠀⠀ ⠀⢰⡝⠀⣸⡟⠀⠀⢠⡏⡇⠀⢿⡏⢧⣸⡗⠀⠈⢿⠟⡟⠀⠃⠀⡏⠹⡄⠀⣴⡾⠛⠉⠀⢀⣀⠉⠙⠒⠲⠤⣄⣀⠀⠀⠀⡼⠀⠈⠁⣹⠇⣶⢻⣸⡀⠀⠀⠀⠀⠀⠀ ⢀⡗⠀⢰⡟⠀⢰⣾⢻⠀⠀⠀⢸⠇⠀⣿⣿⣀⣴⠏⢠⠃⠀⡄⠀⡇⠀⣇⢠⣋⣰⣶⣶⣿⣿⣿⣿⣶⣶⣦⣄⣀⠉⢹⡄⢀⡇⠀⠀⢠⣿⢠⡏⠀⣇⡇⠀⠀⠀⠀⠀⠀ ⣼⠃⠀⡾⠀⠀⢸⣿⢸⠀⠀⠀⠸⡀⠀⣨⠟⡹⠃⠀⡎⠀⠀⡇⢀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢉⣿⠀⠸⠀⠀⠀⢸⡇⢸⠙⡆⢹⡇⠀⠀⠀⠀⠀⠀ ⠏⠀⢸⡇⠀⠀⠸⡟⡏⠀⠀⠀⠀⡧⠞⠁⡼⠁⠀⢸⠀⠀⢰⠀⢸⠀⠀⡿⣿⠟⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣷⣴⣿⡏⠀⠀⠀⠀⢀⡞⢳⡏⠀⢸⣼⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⢸⠀⠀⠀⡇⢹⠀⠀⠀⡏⠀⠀⢸⡇⠀⠀⣾⠀⠀⢸⠀⢸⠀⠀⢧⡁⠀⠀⠒⠀⠀⠀⠀⢀⡉⠻⠿⣿⣿⣿⠀⠀⠀⠀⢠⡞⢡⡾⠀⠀⡈⢸⡿⠀⠀⠀⠀⠀⠀ ⠀⢸⠿⣼⡀⠀⠀⢻⡸⡀⠀⠀⢧⠀⠀⠸⣧⠀⠀⢹⡇⠀⠈⣧⣸⠀⠀⢸⠽⠶⠾⠟⠒⠠⠤⢄⣀⣀⠈⠉⠉⣻⠇⠀⠀⣀⠔⠁⢁⡞⣀⣀⠀⠇⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⣸⠀⣷⢧⠀⠀⠈⢧⢧⠀⠀⠘⡄⠀⠀⢿⠀⠀⠀⣧⠀⠀⠹⣿⡄⠀⠘⡆⠀⠀⠀⠀⣠⠖⠀⠀⠀⠉⠙⠒⠃⠀⣠⠾⠟⣄⠴⠚⠉⠀⠀⢸⡁⢸⠃⠀⠀⠀⠀⠀⠀ ⠀⣿⡄⢹⣯⣆⠀⠀⠘⡞⡄⠀⠀⢳⠀⠀⠈⣇⠀⠀⢸⠀⠀⠀⠹⠃⠀⠳⢧⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⠴⠖⠉⠁⠀⠀⠀⠀⠀⣸⠆⠊⠀⠀⠀⠀⠀⠀⠀ ⡄⠁⣇⠈⣟⢿⣆⠀⠀⠘⡽⡀⠀⢸⡀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡕⢶⣀⠀⠀⠀⠀⠀⢀⡤⣺⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⡀⢸⡀⠘⣎⢻⣧⡀⠀⠸⡽⡄⠀⢧⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣄⠈⠙⠲⠤⢤⠞⠁⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⠀⣧⣠⠜⢧⡙⢷⣄⠀⠘⢿⣄⠀⢳⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠳⣄⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⢀⡸⣇⠘⣧⠀⠀⢿⣦⡙⢷⣤⡀⠙⢆⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠉⡼⢧⠀⠀⠀⠀⠀⣠⣶⠟⢻⣿⣿⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣧⡘⢷⣄⢸⡿⡛⢶⣽⣷⣆⠀⠳⡜⣿⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢰⠃⣨⣶⠶⠒⣲⢾⣏⠀⠀⠈⠉⡍⠀⠙⣗⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠵⠄⢻⡛⢷⣽⣦⡈⠙⢟⡷⢦⡙⣾⣇⠀⠙⢦⡀⡀⠀⠀⠀⠀⣀⡤⠖⠋⢻⡼⠀⢙⣧⡀⠀⢉⠉⠀⠀⠤⠄⠀⣛⣆⠀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⢀⣴⣟⠁⠀⢀⡇⢠⡿⠻⡔⣾⣆⠀⠀⠀⠀⠀⢰⡿⣆⢻⡀⠀⠀⠀⠀⢸⡏⠙⣿⡆⢸⢹⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⡄⠀⠀⢀⣠⣿⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⣠⡿⠁⠈⠙⠛⠻⡇⢰⡇⠀⢿⣿⣿⣆⠀⠀⠀⠈⢹⡿⢿⣼⣧⣤⣄⣀⣀⣀⣷⠀⠻⢿⣾⣇⣻⣿⣿⣿⣿⡿⣸⣿⣿⣿ ⣟⣀⢀⣼⣿⣿⠏⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⣿⣇⣼⣿⣷⣶⣤⡀⠘⣇⢸⡇⠀⠘⣇⢻⣿⠀⠀⠀⠀⢼⡇⠀⠙⣿⣆⠀⠀⠀⠈⢿⡦⣄⠘⣿⡛⢷⣿⣿⣿⣿⢡⢸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⢀⡿⠀⠀⠀⣦⣿⣿⣿⠋⠁⠈⢉⣙⠻⢿⣿⣼⣷⠀⠀⢻⣾⣿⣆⡄⠀⠰⣾⠋⠉⠉⣛⣻⣦⣤⣤⣀⡘⣧⠈⠁⢹⣿⢸⠙⣿⣿⣷⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⡾⢸⡇⠀⠀⠀⣿⣼⣿⢿⠀⢀⣼⣭⣿⣷⡄⢻⣿⡏⢧⡀⢸⣿⡇⢻⣿⡀⢀⣟⣴⣿⣿⢿⣿⠛⠻⠿⣿⣷⣾⣦⣄⣸⣿⢸⣀⣼⣻⠯⣼⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠁⠀⠀⠀⢰⣇⡿⣿⠀⣠⣴⡿⠿⣿⠀⠀⣼⣿⣿⣿⢿⡷⠈⠙⣧⠀⠑⣾⣿⠀⠀⣿⣷⣾⠟⠋⢁⣴⣋⣽⣿⡄⠀⠀⠙⢿⣿⣆⠈⣿⠺⣿⡿⠋⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⠀⠀⠀⠀⣸⠏⢠⡏⠀⣼⠃⠀⢠⣿⣀⠀⢻⡙⠛⣿⠾⠁⠀⠀⠈⠓⠀⠻⠃⠀⠀⡟⢸⠃⠀⠀⣾⢿⣿⣿⣿⣿⠀⠀⠀⠘⣿⠻⣦⣿⠀⢻⣦⣄⣈⣻⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⢠⡞⠁⠐⣿⣷⣾⠷⠂⠀⣸⣿⣟⠳⠤⠽⠯⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠄⠀⠀⣷⠾⠿⣿⣨⠟⠀⠀⠀⠀⣸⠀⣸⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣇⡀⠀⡾⠀⠀⠀⣿⠟⠁⠀⢀⣴⣿⣿⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⢦⣼⣦⡴⠟⢁⠀⠠⣄⠀⡴⠃⢰⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣵⣿⠋⣸⣇⠀⠀⣼⡇⠀⠀⠀⣿⣾⣿⣷⡀⠙⠷⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠟⢛⡿⠒⢬⡩⣄⠀⣿⡟⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⢿⡟⢀⣿⣿⠀⠀⣿⡇⠀⠀⢀⣾⣿⡟⢿⣿⡄⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⢀⡇⠈⢷⡿⠀⣿⡇⢸⣿⠟⠛⠛⣿⣿⣿⣿ ⣿⠀⣿⣾⠁⢸⣿⡇⠀⢀⣿⡇⠀⠀⢸⣿⣿⡇⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⣼⠃⣐⣾⠃⢠⣿⣷⠟⠁⠀⠀⠀⣿⣿⣿⣿ ⠟⠀⠹⡇⠀⣿⡟⠀⠀⢸⣿⣇⡤⢤⡘⡏⣿⣿⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⣠⡤⢴⣿⠀⣼⠃⠀⣾⢻⡟⠀⠀⠀⢀⣾⣿⣿⣿⣿ ⠐⡆⢰⡇⠀⣿⣤⠴⠚⣿⠃⠉⠀⠀⠙⠁⢿⣿⢿⡿⣇⠀⠀⠀⠀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡾⠁⠀⠀⣸⣿⠇⠀⣼⠏⣾⠇⣀⣴⣿⣿⡿⠟⢛⣿⣿ ⠀⣇⢸⣇⣸⣿⡇⠀⢰⠃⠀⠀⠀⠀⠀⠀⢸⣿⣾⠇⢻⡄⠀⠀⠸⣿⣯⣍⣓⠒⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⢠⠏⢠⠟⠀⠀⠀⣴⢃⣿⢀⣾⣣⣾⣷⣿⣿⣿⠟⠁⠈⢡⢸⣿⣿ ⠀⢹⡘⣿⣿⣿⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⢸⣿⡀⠀⠀⠀⠀⠀⠈⠙⠲⣦⣼⡇⠀⠀⠀⠀⠀⢠⠏⢠⡟⠀⠀⠀⣼⠃⣸⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⣰⣿⣿⣿⣿ ⠀⠈⢧⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣯⣴⣿⠟⡷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⣰⡏⢀⡟⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿ ⠀⠀⠈⢇⠙⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⢀⡞⠁⠀⠀⠀⢾⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⡀⠈⠉⠉⠛⠦⣄⠀⠀⠀⠀⠀⠀⣀⡜⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⣴⠟⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠻⣷⡀⠀⢀⣰⠛⠺⠳⣼⠈⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⣆⠀⢈⡇⠰⠈⢯⣀⠀⠀⠈⠳⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠒⢺⣧⠀⠀⢦⠈⠳⢄⡀⣠⡌⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣃⣀⣀⠀⢠⠞⠀⠀⠓⠁⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠘⣿⠀⠀⠸⡄⠀⠀⣏⠁⠘⢆⢣⠀⠀⠀⠀⠀ ⠀⠀⢰⡿⠁⢀⠟⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⢠⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡟⢧⡀⠀⢣⠀⠀⠸⡄⠀⠈⢳⣷⡀⠀⠀⠀ ⠀⢀⡏⠣⠤⠏⢀⠎⠀⠀⠀⠀⢠⡾⠁⠀⠠⡇⠀⢸⠀⡇⠀⠀⡄⠀⠀⠀⠀⠀⢿⣦⣇⠀⢳⡀⢸⣆⠀⠀⢧⠀⠀⠀⠻⣷⡀⠀⠀ ⠀⣸⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⣼⠃⠀⠀⣰⢧⠀⠸⠀⢱⣤⣾⠁⠀⠀⠀⠀⠀⠈⡇⡏⠉⠉⢻⠙⠙⣄⠀⢸⡀⠀⠀⠀⢹⣧⡀⠀ ⠀⡎⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⡟⠀⠀⢠⣇⠸⡦⡖⠒⠉⣇⠈⢧⠀⠀⠀⠀⠀⠀⢹⡥⠂⣀⣤⣿⡀⠘⡄⠀⡇⠀⠀⠀⠈⡟⢷⡀ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⡇⠀⠀⡟⠀⠀⣹⣧⣀⣀⣈⣇⠘⡷⡄⠀⠀⠀⠀⢸⢰⣿⣿⣿⣛⠻⣷⣼⡄⡇⠀⠀⠀⠀⠷⠀⠁ ⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⡇⠀⢰⢁⣤⣾⣿⣿⣿⣿⣻⠿⣆⢣⠘⢦⡐⣆⠀⠈⡄⢻⠁⢀⣿⣷⡈⢿⣷⡷⠀⠀⢸⠀⢰⠀⠀ ⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢸⢠⣧⣾⡿⢹⠋⠀⢸⣿⣿⣷⡌⠻⠀⠀⠙⢮⣷⣄⡇⢿⣿⣿⣿⣿⣿⠘⠁⣇⠀⠀⣼⡆⠀⠀⠀ ⠀⠀⢀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⡿⢹⡿⠀⢸⣶⣾⣿⣿⣿⠿⣧⠀⠀⠀⠀⠀⠀⠈⠀⠈⠙⠛⠛⠶⠟⠀⠀⡿⠀⣠⠇⢳⠀⠀⠀ ⠀⠀⠀⡆⢸⡀⢳⠀⠀⠀⠀⠀⠀⢹⡜⠿⠀⠸⣿⣿⣯⠟⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⢠⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⢃⠀⡇⠸⣇⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣃⣴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⢣⠀⣿⣆⠀⢡⣀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣾⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡀⠘⣦⡿⣟⢧⠀⢯⠓⠤⣀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣠⣤⠤⠤⠤⠀⠀⡀⢤⣤⡀⠀⠀⠀⠀⡼⠁⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⢸⡇⠙⠶⣷⣌⢇⠀⠀⠉⠑⠒⠒⠛⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠄⠀⣠⠾⣧⠀⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⢸⠁⠀⠀⠈⠉⠛⠒⠒⠒⠛⠳⢤⣀⠀⠀⠀⢾⣤⣄⣀⣀⠤⠖⠒⠒⠋⠉⠁⢀⣠⠞⠁⠀⢸⡄⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠖⠛⡏⠒⠢⠤⣀⣀⣀⣀⣀⣀⣀⡀⢤⣴⣾⣯⣀⠀⢀⣨⠏⠘⢆⡙⡄⠀⠀⠀⠀ ⠿⠶⠄⠀⠀⠀⡾⣇⠀⠀⢀⣀⠀⠀⠀⣀⣾⠋⢀⢀⡇⠀⠀⠀⠀⠀⠀⠀⢹⢧⡀⠀⠀⠀⠀⠉⠻⣿⠙⠫⡀⠀⠀⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣧⣹⣆⠀⠈⠟⢷⣤⣴⠟⠁⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⢘⠀⠑⣄⡀⠀⠀⠀⠀⠹⣧⡀⠈⢢⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⡇⡇⣾⣿⡤⣼⡡⣤⣧⡾⠔⠊⡇⠀⠀⠀⡃⠠⠃⠃⠀⠻⣽⡒⠾⣶⠾⡾⢿⢦⡬⣷⠀⠀⠈⢸⠀⠀⠸⡇⢹⡄⢰ ⠀⠀⠀⠀⠀⡀⡟⡇⡇⣯⠇⡇⡇⠀⠀⢱⠃⠀⠀⢰⠀⡀⠀⡇⠀⣤⠀⠀⠀⠹⣇⠀⠈⢆⢳⠈⢧⠱⣻⣇⠀⢰⠀⠀⠀⠀⡇⢺⢣⠘ ⠀⡄⠀⠀⡜⠀⡇⢰⡷⢿⠀⢹⠀⠀⠀⠸⠀⠀⠀⠀⢣⢰⡀⡇⠀⢹⡄⠀⠀⠀⠘⠂⠀⠀⠻⡆⠈⢧⢹⠹⡀⡼⠀⡇⢀⠀⡇⢸⠘⣄ ⠀⡇⠀⢰⠁⡄⡇⠈⣇⣿⠀⠈⠀⠀⠀⢀⠤⠤⠔⠀⠈⢻⣧⢸⠀⢹⢷⠀⠀⠐⠒⠀⠤⠄⠀⠀⠀⠀⢻⡇⣇⠇⠀⡇⢸⠀⣧⢸⠀⢻ ⠀⡇⠀⣸⠀⣇⣇⠀⢻⣿⠶⠶⢶⣶⠶⣶⣶⣶⡞⠃⠀⠀⠻⣿⡆⢸⠸⡄⠀⠚⢻⠿⠻⣶⣶⣶⡶⠶⠶⡇⡿⠀⠀⡇⡌⠀⣿⡾⠀⠈ ⠀⡇⠀⣿⠀⢹⡽⠸⣼⣿⠀⠀⣿⣀⣰⣿⡿⣿⡇⠀⠀⠀⠀⠀⠻⡈⡇⠀⠀⠀⣼⣤⣼⣿⣿⣿⣷⠀⢸⣵⠃⠀⢰⢡⠃⢸⣿⡇⠀⠀ ⠀⢣⠀⣿⡇⢸⢳⠀⢽⣿⠀⠀⢻⣿⣟⠿⢗⣛⠃⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⢹⣿⣜⠿⣯⠿⠇⠀⣿⠏⠀⣴⣿⣾⠀⣾⣿⠁⠀⠀ ⠀⢸⣄⣿⣷⢸⠈⢧⠸⣿⢧⠀⠈⠿⠿⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠛⠛⠛⠛⠿⠀⡼⣻⠀⣼⣟⠏⢸⣸⣿⣿⠀⠀⠀ ⠀⠀⠙⠛⠛⢻⠀⠈⣧⣿⡄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣾⣿⣿⠀⣷⠋⠈⠉⠀⠀⠀ ⠀⡀⠩⠉⣮⣿⠀⠀⣿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠋⡿⠈⡿⠶⢶⠶⡆⠀⠀ ⠀⠩⡿⠯⠿⣿⠀⠀⢹⠸⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣱⡿⠀⠀⡇⢸⡿⠿⢾⠶⠟⠀⠀ ⠀⠓⡒⠒⠒⢻⠀⠀⢸⠀⣿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⢸⠀⢸⠗⠒⠒⠒⠒⠀⠀ ⢰⣶⣶⣶⣖⣾⢰⠀⠈⡆⢸⣄⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠀⠀⡎⢀⢸⣀⣀⣀⣀⣀⣀⠀ ⢸⣿⣿⣿⣿⣇⣿⠀⠀⣷⡈⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⡇⢰⣾⠁⡜⣾⣿⣿⣿⣿⣿⣿⡆ ⢸⠿⢿⠿⠿⢿⣿⡄⠀⢸⣧⢹⠿⠿⢿⣿⣿⣷⣦⠤⣀⡀⠀⠀⠀⠀⠀⢀⣀⢤⣶⣿⣿⣿⣿⣿⣿⢃⣿⡟⢀⠃⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⣦⣰⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣴⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣯⢧⣿⣿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣼⣿⣿⣿⣿⡇⠈⡛⠛⢹⠿⣿⠏⠀⠀⠀⠀ ⣦⣄⡀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡻⣿⣿⡿⠃⠸⠙⠀⢻⣄⡎⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡗⣶⣦⣤⣀⣽⣿⣿⣿⣿⣿⡏⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣦⣤⣄⣀⣤⣼⣿⡟⠀⠀⠀⠀⠀⠀ ⠛⠛⠛⢛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣴⣿⣿ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⠖⣛⣉⣛⠳⣤⡀⠀⠀⠀⠀⠀⢀⣤⡾⠗⠲⢤⣀⠘⣿⣿⣿⣿⣿⠛⢿⠇⠀⢠⣾⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⢧⠎⠉⣿⣿⣷⣼⡟⠀⠀⢀⠀⡴⢻⡷⠋⢻⣿⣶⡝⣦⣿⣿⣿⣿⣿⠙⣼⡆⢀⣿⣿⣿⠟⠛ ⠀⢸⣿⣿⣿⣳⠿⠓⠒⢿⢿⣿⣿⣿⣿⢸⡷⢾⣿⡟⢻⣇⡇⠀⢼⢏⢞⡄⡎⣧⣠⣾⣿⡿⣿⢸⣿⣿⣿⣿⣿⣀⣸⢥⣼⣿⠟⠁⠀⠀ ⣿⣿⣿⣿⡟⠁⠀⠀⠀⠘⠜⢿⣿⣿⢿⡆⠻⠶⢯⡷⢟⡽⠀⠲⢣⢊⠎⢈⠱⡸⣦⣽⣿⣤⠟⢘⣿⡿⠋⠁⠀⠀⠉⠛⠻⢤⡀⠀⠀⠀ ⠄⠀⢺⣿⠁⠀⠀⡀⠀⠀⠀⠀⠙⢿⣎⠋⠀⠀⡰⠀⠁⠀⠀⠀⠀⠀⠀⠁⠀⠈⠲⡍⠉⠁⠀⣼⡟⠁⠀⡀⠀⠀⠀⠀⠀⠈⣿⠄⠀⠀ ⠉⠀⠠⡿⡄⡆⠀⡇⠀⠀⠀⠀⢰⠀⢫⡁⠀⠀⣧⠤⠤⠤⢀⣀⣀⣀⡀⠀⠀⠀⠀⢣⠀⠀⢀⣿⠁⠀⡘⠁⢠⠇⠀⡄⠀⢀⡿⠀⠀⠀ ⠀⠀⠀⠹⢷⣿⡒⢷⠒⢻⠒⢒⣽⠾⠋⠙⠢⠄⣹⡀⠉⠉⠁⠀⠉⠙⠛⠛⠛⠩⠭⡽⠀⢀⡼⢿⣦⠤⣇⣀⡎⠀⡘⠀⠀⡜⣡⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢩⠟⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⢐⡖⠒⠒⢒⠒⠒⠒⠒⠁⠀⠈⠀⠀⠈⠓⠓⠤⠿⠿⠧⠴⣾⠿⠿⠒⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠊⠉⠀⡰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⢬⠇⠀⠀⠀⠀
⠀⠘⡧⠀⣠⠎⠀⠀⢀⠔⠁⠀⠀⠀⠀⣠⠞⣇⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⢳⣾⠁⠀⠀⠀⠀⠀ ⠀⠀⣿⡴⠃⠀⠀⡰⢣⠆⠀⠀⠀⢀⡴⠁⠀⠸⡆⠀⠀⠀⠀⠀⠀⠘⡆⠀⡄⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⡈⢧⠀⠀⢻⡀⠀⠀⢠⠀⠀ ⠀⠀⡿⠁⠀⠀⡜⡰⠁⠀⠀⠀⣰⠋⠀⠀⠀⣠⠿⡀⠀⠀⠀⠀⠀⡀⣧⠀⡟⠲⣄⢳⡀⠀⠀⠀⠀⠀⠀⠱⡘⣇⠀⠈⣧⠀⠀⠸⠀⠀ ⠀⢠⠃⠁⠀⡜⡜⠁⠀⠀⢀⡼⠁⠀⠀⣠⠞⠁⠀⢱⡀⠀⠀⠀⠀⠀⢸⡀⢳⠀⠈⠳⣿⡄⠀⠀⠀⠀⠀⠀⢡⠘⡄⠀⠸⡄⠀⡄⠀⠀ ⠀⠀⠀⢀⡞⡰⠀⠀⠀⢀⠞⠀⠀⢠⠞⠁⠀⠒⠀⠀⢣⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠹⢆⠀⠀⠀⠀⠀⠀⢣⢹⠀⠀⢷⠀⣆⠁⠀ ⠀⠀⢠⣿⡇⠇⠀⠀⢀⡞⠀⠀⡴⠃⡄⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠈⡌⣇⠀⢸⡆⡇⠀⠀ ⠀⢠⣿⣿⠐⠀⠀⢀⡞⠀⢀⡜⠁⠀⠙⣆⡀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⢻⢸⠀⠀⠀⠀⠀⢀⣤⠎⠑⢄⠀⠀⠀⠰⢸⡀⠀⣿⣷⠀⠀ ⠀⠀⣾⣿⠀⠀⠀⡼⠀⢀⠞⠀⠀⣀⣠⣬⣿⣦⣤⣤⣤⣤⠞⢦⠀⠀⠀⢸⣺⣦⣤⣤⣴⣶⣯⣥⣀⡀⠈⠳⡀⠀⠀⠃⣇⠀⢻⣿⡄⠀ ⠀⢠⣿⣿⠀⠀⢰⠃⢀⡎⠀⣰⣾⢟⣫⣽⣿⣿⣿⣿⣷⡄⠀⠈⢦⠀⠀⢸⣿⢀⣤⣾⣿⣿⣿⣿⣿⢿⣦⡀⠙⡄⠀⠀⢹⠀⢸⡇⣇⠀ ⠀⣼⢹⣿⠀⠀⡾⠀⣾⠀⣸⡿⢡⠞⢻⣿⣿⣿⣿⣏⢿⠓⡔⠀⠨⢣⠀⠈⣿⠿⢻⠋⢻⣿⣿⣿⣿⣆⢹⣿⠀⢻⣄⠀⠸⡇⣸⡇⢹⠀ ⢀⡇⠀⣿⡄⠀⠇⠀⣿⠀⣿⡇⢸⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠾⠂⠀⠳⡀⣿⠀⢸⣶⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⠙⡆⠀⡇⣿⡇⠀⠀ ⣼⣤⣶⣿⡇⠀⠀⠀⣿⠀⢻⣧⠸⣿⣌⡙⠻⣿⣯⡼⠄⠀⠀⠀⠀⠀⠀⠱⡇⠀⠾⣧⣄⡛⠛⣻⣯⡼⢰⣿⠀⢸⠀⢹⡀⣿⣿⣷⣦⣄ ⣿⣿⣿⣿⣿⠀⣠⠀⣿⠀⠀⠙⠃⠑⠢⠭⠭⠥⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠭⠭⠥⠚⠁⠛⠁⠀⢸⠀⣠⣧⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡇⣿⣷⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠊⠉⠉⠉⠓⠒⠒⠉⠉⠉⠓⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡍⠒⠒⠠⠤⣠⣤⡤⠄⠐⢒⠊⢉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠧⣄⣀⡤⠚⢥⡤⠹⠦⣘⢁⡴⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣠⣴⡶⠾⠟⠛⠛⠻⠷⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣶⣄⠀⠀⠀⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⡄⠀⠀⠀⠀⠠⡀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⢀⣾⠋⢀⠀⠀⣀⡤⠞⠀⠀⠀⠀⠀⠀⠙⢦⣀⡀⠀⢀⠘⣿⡄⠀ ⣼⡏⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠸⣷⠀ ⣿⠀⠀⠀⣠⣶⠞⢳⢶⣄⠀⠀⠀⠀⢠⡶⣾⠳⣶⣄⠀⠀⠀⣿⡆ ⣿⠀⠀⠀⠙⣽⠀⡟⠀⠋⠀⠀⠀⠀⠘⠀⢸⠀⢳⠛⠀⠀⠀⣿⡇ ⢿⡇⠀⠀⠀⡇⠀⡇⠀⠀⡠⠐⠒⠠⡀⠀⠸⡄⢸⠀⠀⠀⢠⣿⠀ ⠘⣿⡄⠀⢀⡇⢰⠇⠀⢸⣶⣶⣶⣶⡇⠀⠀⡇⠘⡇⠀⢀⣾⠇⠀ ⠀⠘⢿⣄⢸⠁⢸⠀⠀⠸⣿⣿⣿⣿⡇⠀⠀⡇⠀⡇⣠⣾⠃⠀⠀ ⠀⠀⠀⠻⣿⠀⠈⡇⠀⠀⠉⠛⠛⠉⠀⠀⢠⠇⠀⣿⠟⠁⠀⠀⠀ ⠀⢠⡒⢚⣁⣀⡀⠙⠲⠴⠒⠒⠒⠒⠦⠴⠋⠀⣀⣈⡑⠒⡆⠀⠀ ⠀⠀⠉⠉⠉⠉⠹⠤⠤⠖⠚⠉⠙⠦⣀⣀⣠⠞⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
˚₊‧꒰ა ྀིྀYes this is unrelevenat to say but i think we all need to normalise men being feminine and kind not every male is gay if they are feminine/kind please let people express themselfs how we want not every men should be masculine, strong, or have a bad attiude. ໒꒱ ‧₊˚ 𝜗ৎ
⠀⠀⠀⢰⡃⣿⢷⠨⠀⠞⠂⠉⢀⠀⠑⡇⠈⠫⡚⠲⠚⢻⠾⣆⠀⢸⠀⢹⢸⠸ ⠀⠀⠠⠈⢠⢿⠈⡄⠀⠀⠀⠀⢌⡄⠢⣧⠀⠀⠁⠀⠘⡄⢉⡟⡰⠈⠀⢸⢸⢆ ⠀⠀⡇⣤⠈⣿⡤⢤⣤⣤⣤⠄⠈⢻⡆⢸⠀⠀⡧⠤⣤⣤⠤⡇⡇⠀⠀⢸⣼⠘ ⠀⢰⡇⣿⠘⣿⠀⢸⣤⣿⣿⠀⠀⠀⠘⢜⠀⠀⣷⣸⣿⣿⠀⡷⠁⣸⡄⣼⠇⠀ ⠀⣼⣿⡏⢃⢹⢆⠘⠟⠛⠛⠀⠀⠀⠀⠀⠁⠀⠘⠛⠛⠃⢘⠇⣜⠏⣧⣿⠀⠀ ⠀⠈⢫⡇⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠿⢰⠧⠤⠄⠀ ⠀⠙⠙⡇⠀⠉⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠁⠀⢸⡟⠛⠋⠀ ⢸⣀⣄⣷⠀⠀⢳⣡⡀⠀⠀⠀⠀⠀⢒⠂⠄⠀⠀⠀⢀⣰⡟⠀⣄⣸⣀⣀⣀⡀ ⢸⠿⠿⣿⡄⢸⡞⡿⢿⣶⣤⡄⡀⠀⠀⠀⢀⡀⣤⣶⣿⣿⣧⡿⠀⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⢀⡢⢂⠌⡀⢀⡞⠀⡄⠂⠀⠀⠀⠈⣀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠋⢠⠃⣸⠀⡌⡇⢰⠁⡀⣀⠀⢸⠀⢡⠇⢡⠀⠰⠀⠀⠀ ⠀⠀⠀⠀⠏⢀⠂⢰⡇⠲⠒⡗⢺⡋⠃⡅⠑⡯⢄⠀⡿⡄⢧⠀⠡⡀⠀ ⠀⠀⠀⠀⠀⢸⡄⡎⣧⡾⣿⣿⣾⣄⠸⡼⡀⣿⣀⣨⢙⢽⢮⣂⠀⠐⠄ ⠀⠀⠀⠀⠀⢈⡇⠃⡇⡟⠉⠂⠊⠀⠀⠣⡑⡩⣿⡿⣿⣎⣧⡙⡆⠀⠀ ⠀⠀⠀⠀⠀⠜⢱⣄⠐⢥⠀⠀⡌⠀⠀⠀⠀⠉⠉⠔⡂⠟⣪⢃⠗⠀⠀ ⠀⠀⠀⣀⢊⠊⠆⠿⡇⠀⠁⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡡⣎⣞⠀ ⠀⠀⠀⣾⠁⡸⠀⡀⠨⠀⠀⠄⣀⣀⠀⠀⠀⠀⠀⠀⡠⡢⠊⠰⠋⠁⠀ ⠀⠀⠀⡯⠠⠐⠄⠧⡑⢧⠀⠀⠠⠍⠐⠹⠦⠀⠀⡘⠜⢃⠄⣈⣗⠣⡜ ⠀⠀⠀⠸⡇⡇⠀⡘⠮⣁⠣⠀⠀⠀⠀⠀⠀⠀⣀⡥⠊⠀⠀⠘⠘⣆⠈ ⠀⠀⠀⡠⢘⢜⢀⠀⠀⠈⠉⡱⠤⠀⣴⣶⣾⡿⠋⠱⣄⠀⠀⠀⠡⡸⠀ ⠤⠔⠈⠀⠆⠀⠁⡣⡂⠤⡊⠀⠀⠘⠘⣿⠏⠀⠀⠀⠀⠙⠒⡤⢊⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠁⠀⠑⠬⡐⢄⠀⠎⡸⡄⠀⠀⠀⠀⡀⠈⠀⠀⠈⠀ ⠀⠀⠀⠀⡆⠸⠁⠀⠀⢀⢀⡴⡄⠩⡰⠁⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠙⡄⡠⡌⠙⠲⣠⠀⠀⠀⠀ ⠀⠀⢠⠊⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⡌⠢⣀⣨⢂⠀⠀⠀ ⠀⢠⡗⢒⢀⠎⠀⠉⠀⠀⡄⠀⡆⠀⠀⠀⠀⠈⡆⡷⡀⠸⠀⠰⠀⠱⣣⠀⠀ ⠀⡎⠀⢃⠎⠀⠀⢠⠇⠀⡇⢰⠸⠀⡠⠀⠀⠀⢷⡤⣑⡀⣦⠀⠇⠀⠘⣧⠀ ⢠⠀⠀⡘⠀⠀⠀⡞⠀⢰⢱⢼⠐⠏⢣⠀⠀⠀⠘⡧⢀⣱⡈⢆⢰⠀⠀⢸⢧ ⠀⠀⠀⠃⠀⠀⠀⡇⢀⠇⣠⣷⣶⣬⡄⡗⡀⠀⠀⠼⡟⢻⡝⢯⣼⠀⠠⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣜⡾⠻⢉⣹⣷⡎⠃⠈⠪⠦⡇⣷⣾⠿⡞⢹⠀⢰⡄⠀ ⠀⢰⠸⠠⠀⠀⠀⠈⡽⡇⢸⣿⣟⠯⠝⠀⠀⠀⠀⠀⠀⠉⠉⠁⡘⢀⠆⠁⠀ ⠀⠀⡄⡄⣇⠀⡀⠀⠈⢄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢥⡇⠀⠀⠀ ⠀⠀⠇⢡⡿⣢⠸⡢⢄⡀⠑⢄⠀⠀⠀⣠⠤⠤⠀⠀⢤⡀⠀⠀⡜⡇⠀⠀⠀ ⠀⠀⠀⠀⡇⠙⠳⠥⢀⠨⢍⡉⠀⠀⣎⠀⠀⣀⠀⠤⠌⠓⡠⠊⣇⢠⠀⠀⠀ ⣀⠀⠀⢀⡇⠀⠀⠀⠀⠀⡤⠚⡕⠂⠬⠅⠁⡀⠤⠤⠶⣯⣀⣠⠋⠢⣂⠀⠀ ⠉⠁⠀⢸⣳⠀⢰⢆⣀⠞⠁⠲⡁⠀⠀⠀⠀⡋⢆⠀⠀⠀⢳⡌⠢⡀⠀⠀⠀
⠀⠀⠀⠀⢀⣞⣵⡕⢋⡥⣾⢛⡞⠀⠀⠈⢷⢸⢻⡄⢿⡄⢳⠘⡌⡄⢳⠀⠀⠀ ⠀⠀⠀⠀⣾⢟⣏⢴⣿⡼⠃⡟⠀⠀⠀⣇⠘⣇⡄⢻⣄⢿⡌⣧⠸⡘⡜⡄⠀⠀ ⠀⠀⠀⠀⡡⢺⡟⡼⣹⢡⣶⡷⠶⠶⢶⡇⠀⠙⣧⣤⣽⣀⢳⡹⣧⡜⣮⣇⠀⠀ ⠀⠀⠀⠀⢸⠾⣇⠁⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠘⠉⠙⠹⢿⡇⢹⣿⣼⡛⠄⠀ ⠀⠀⠀⠀⢸⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⡈⠓⠄⠀ ⠀⠀⠀⠀⡏⡧⣀⡄⠀⠀⠀⠀⠀⠀⠀⡠⢤⡀⠀⠀⠀⠀⠀⠀⡀⣸⠋⠀⠀⠀ ⠀⠀⠀⠌⠸⢱⣿⣿⡄⠀⠀⠀⠀⠀⠘⠂⠐⠇⠀⠀⠀⠀⠀⢠⡫⢿⠀⠀⠀⠀ ⠤⠴⠿⢿⠟⠉⠟⠟⡇⢄⠀⠀⠀⠀⠀⣤⢀⠀⠀⠀⠀⠀⣰⣿⣧⠿⠷⠶⠤⠤ ⠀⠀⢀⠁⠀⠈⠢⠀⢀⠀⠱⣖⠢⠠⢀⠠⢐⠕⣤⣤⠔⠸⠋⠀⠉⠳⡄⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣷⡀⠀ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣴⢿⣿⣧⠀ ⣿⣿⣿⣿⣿⡿⠛⣩⠍⠀⠀⠀⠐⠉⢠⣿⣿⡇ ⣿⡿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿ ⢹⣿⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡏ ⠀⠻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⡿⠸⢉⠃⠀⠀⢰⠀⢀⣧⢃⢸⠀⠀⠀⣼⢰⠀⠈⢂⠐⣇⢦⡀⢸⠀⠀⠈⠀ ⠀⢀⠇⢸⠀⠀⡆⢸⡀⣿⢻⣸⡌⠀⠀⢠⣿⣿⢠⡐⡜⠀⡏⣸⣷⣸⡆⠀⠀⠀ ⠀⠸⠀⠸⣠⠀⣧⢻⢳⡗⠸⣿⣷⣄⠀⣿⣿⣿⣾⠀⠸⣶⠙⣿⠛⣿⡇⠀⠀⢀ ⠀⠀⠀⠀⣿⡀⣿⢿⠀⣃⡀⢹⢻⣿⣾⣿⡟⠿⠃⢀⣀⣏⣀⢸⠐⣿⡇⠀⠀⢸ ⠀⠀⠀⠀⠘⢻⣿⡴⠛⠉⠛⠓⠮⠙⢿⠏⠀⠈⠞⠛⠉⠉⠛⠁⠀⢹⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣇⡇⢸⣤⣿ ⠀⠀⢇⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣻⣺⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣀⣀⣠⠤⣲⣤⠀⠀⠀⠞⢫⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⠢⣀⠀⠘⠯⠍⠉⠁⠤⠜⠀⢀⡠⠀⢩⣿⣿⣿⣿⣿
⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⠀⢀⠀⠀⢱⠰⡀⠀⠈⠄ ⠄⠀⠀⠀⠀⠀⠀⡂⠀⡄⡆⠀⠀⠀⠀⠀⠀⢠⠀⢸⡄⢸⣵⠀⠘⡆⠃⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⢰⠁⣸⠡⢧⠀⡆⠀⠀⠀⣰⡌⢇⢹⢧⢸⠻⣇⠀⡇⠘⠀⠀⠀ ⠀⠀⠀⢰⡤⠔⡾⠉⡥⠸⡘⡄⠀⠀⠀⣼⣿⠇⢸⣘⡬⢨⠀⠉⠀⡗⠀⢠⠀⠀ ⠀⠀⠀⢸⣇⠀⡇⣆⣾⣀⣃⠹⢄⡀⢰⡿⠌⠀⠠⢿⣿⣿⣿⣿⣶⣄⢢⢰⠀⠀ ⠠⡀⠀⣼⡽⡶⢿⣯⣿⡿⣿⠒⠈⠒⠋⠁⠀⠀⠀⠘⠋⠙⣋⠉⢇⢘⣿⠰⠀⠀ ⠃⠷⠀⢸⣏⠣⢈⡋⠐⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡜⠘⠀⢂⠀ ⠈⠛⡧⠸⡟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⣨⢢ ⠀⠀⢰⠱⡧⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⡯⢀⣼⠋ ⠀⠀⢰⣇⣧⢰⣆⠀⠀⠀⠀⠀⠀⣤⠤⠀⠀⠂⠀⠠⠀⠀⠀⠀⠀⠜⣄⡼⢻⣷ ⠀⠀⢸⣟⣿⣆⢹⣦⣀⣀⡀⠀⠀⠋⠤⠄⠀⠠⠤⢔⠠⠤⠄⡒⠒⠾⣏⡅⢸⣿ ⠀⡀⣾⡿⠋⠉⠀⠀⠀⠀⠈⠦⣄⠀⠀⠀⠀⠀⣰⠕⡀⠈⠥⠐⠂⠀⠐⠁⠚⠿ ⢀⡿⠋⠀⠀⠀⠀⠀⠒⠒⠒⢤⡈⢓⠢⢄⣀⣴⡇⠊⡀⢤⠤⠐⠁⠀⠀⠀⠀⠀ ⠊⠀⠀⠀⠀⠀⠀⠁⠚⠍⠐⢄⠙⡐⢧⡶⢿⠛⡠⠊⡐⢁⠄⠒⠂⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠉⠈⠉⠢⣑⣄⠑⠚⠀⢫⠃⠀⠀⠘⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀
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💧🌧⋆⭒˚。⋆
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🥹,🫶🏻 crying face, hearts
(◞‸ ◟)💧
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I'm sorry, I accidentally posted a copied version of someone else's example TT I can't delete it tho. her name is mali and I used her example as inspo. however, I copied some of her stuff. I did NOT mean to in any way, I deeply apologize from the bottom of my heart. this was the example that I made with her help : 〜 ⌇ˎ ℳ🅸 . ୧ 안녕 ? ˊ ♟️ ℛαмι'🆂 ᴄʜᴇꜱꜱ . | ʚɞ . ⊃ ‘ ■ . ┆ ˢʰᵉ'ᵈ ' ex ' :: ♡ “ 장군. ⌇「 . 🏆 」 ˊ ✿ ˎ .. ・゚im sorry this happened mali ☹️
🐼😭🫶🏻❤️‍🩹
𝒮ℴ𝓇𝓇𝓎 𝒿𝒶𝒶𝓃 ❣️
Being a man comes with both privileges and pressures, but few people talk about the negativities that men face in their lives. The sad truth is that men are expected to act in a certain way, and any deviation from traditional masculine roles can be considered a sign of weakness. Men are often raised to suppress their emotions and to avoid expressing vulnerability, as they are taught that showing emotions is feminine or weak. This conditioning has a long-lasting impact on men’s mental and physical health, as they carry with them unresolved issues and pent-up emotions that can lead to depression, anxiety, and other mental health disorders. The sad truth about being a man also manifests in the expectations placed on men in their professional and personal life. Society often expects men to be the primary breadwinners and to take on leadership roles, which can result in tremendous stress and anxiety. Men who are not fulfilling these expectations may feel like failures, and their self-worth and confidence can take a hit. Moreover, men are often expected to be dominant, assertive, and in control, making it harder for some men to seek help when they are in need. Another sad truth about being a man is the cultural pressure to conform to specific physical attributes. The media perpetuates unrealistic and unattainable body standards for men, promoting toxic ideas of what it means to be a “real man,” and men who do not fit these physical expectations may experience ridicule, shame, and social rejection. This pressure can lead them to engage in unhealthy and dangerous behaviors, like excessive dieting, drug use, or obsessive exercise that can result in adverse health outcomes. Furthermore, men face specific challenges when it comes to maintaining social relationships. Men are often encouraged to prioritize their individual success over relational harmony, and the socialization of men in society conditions them to see emotional reticence as a sign of strength. This can prove detrimental to healthy interpersonal relationships with friends, family, and romantic partners. Men may also be wary of openly discussing their feelings, which can be detrimental to intimacy and trust building. In conclusion, the sad truth about being a man is that societal expectations, especially those related to masculinity, can be harmful to their well-being. Men are often expected to conform to rigid gender roles, and deviation from these roles can lead to negative social and emotional consequences. It is essential to promote healthy and positive masculinity and challenge harmful stereotypes, to help men lead healthier, happier, and more fulfilling lives.😔😔😔
Sorry jan 😭
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