Squish Emojis & Text

Copy & Paste Squish Emojis & Symbols 🫸🫷 | (=^・ω・^=)🌸𝓐𝓼 𝓹𝓻𝓮𝓽𝓽𝔂 𝓪𝓼 𝓹𝓾𝓼𝓱�

(=^・ω・^=)🌸𝓐𝓼 𝓹𝓻𝓮𝓽𝓽𝔂 𝓪𝓼 𝓹𝓾𝓼𝓱𝓮𝓮𝓷🌸(=^・ω・^=)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢵⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⡀⠘⢿⣶⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣂⠀⠀⠀⢙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣦⢹⣧⠀⠀⢀⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠯⢤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣋⣿⣇⣀⣾⠳⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠘⠿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡙⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⢸⠗⠀⣿⡿⢃⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡖⣄⠀⠀⠀⠀⠐⠉⢿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠳⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣧⣿⠀⠀⢴⣿⠻⣮⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⡘⢿⣆⠀⠀⠀⠀⠀⠹⣷⡤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣟⣵⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠿⢟⠹⣿⢁⣰⠋⣿⢠⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡟⠂⣻⣳⡀⠀⠀⠀⠑⠼⣿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠂⠀⠁⢻⣿⠛⢰⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣛⠛⢿⠀⠀⠀⠀⠈⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠸⢿⣸⣯⠀⣿⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢦⣸⡇⠻⠛⠛⠁⠀⠀⠀⠀⠀⠠⣿⣷ ⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡒⢳⣸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⣰⡟⢚⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⢸⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠃⣀⣠⡶⡏⢡⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠘ ⠀⠀⠀⠀⣰⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⠃⠻⣷⡀⠀⠀⠀⠀⣤⣄⡀⣤⣀⣀⠀⠀⣀⢀⣀⣴⣦⡒⣶⣶⠿⠛⣢⣤⣶⢀⣴⣀⣄⣀⣾⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠆⣠⡾⣋⣤⡾⢟⠻⣃⣵⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣾⠏⠀⠀ ⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣦⡀⠘⣿⣄⠀⢢⣤⣤⣉⡉⠛⠛⠛⠻⠟⢻⣋⣧⣼⣷⡻⠿⢓⠲⠛⣋⣯⡾⠿⠛⠛⠛⠀⠋⠀⠀⠀⠀⠀⠸⠿⣦⣤⣴⣤⣤⣤⣴⠖⢟⣋⣽⠾⢿⣿⣷⣶⣶⣴⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠁⠀⠀⠀ ⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⣹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠘⠿⣦⣄⡈⠳⣦⡤⢌⠉⠙⣉⣻⣷⠿⠛⠋⠋⣡⣾⠛⣿⣦⠈⠉⠈⠉⠁⠀⠀⠀⠀⠀⡄⠀⠀⠀⣤⠀⠀⠀⠀⠈⠹⣶⡶⣤⣦⣼⣾⡛⣉⡁⠀⠀⠀⠀⠀⢀⣠⣿⡾⠃⠀⠀⠀⡄⠀⣀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⣀⣤⣼⠶⠞⠻⠛⠛⠛⠛⠷⠶⣶⣶⣶⣦⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀⠈⠉⠛⠷⠶⣶⣤⣴⠾⠛⠉⠀⠀⠀⣠⣾⢋⢙⣿⣟⣻⣗⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠀⢀⣰⡿⡃⠀⠀⠀⢰⡟⠁⣤⡿⠉⠉⠉⠙⠛⠛⠷⣶⣶⣶⠛⠛⠋⣁⡀⠀⠀⢀⣸⣿⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⠀⠀⠀⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠶⢶⣦⣌⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣀⣀⣀⣠⣴⠾⠛⠀⣠⢾⢑⣿⢿⣿⠀⠀⠀⠀⠀⠀⢠⣾⠇⠀⠀⣰⡿⠅⠀⠀⠀⠀⠀⠀⣿⢩⣿⠳⠿⢶⣾⣤⣤⣤⣀⣀⣀⣠⣴⡾⠻⡅⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡏⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⣀⣤⡿⠉⢨⣿⣍⣹⠃⠀⠀⠀⠀⠀⣠⣿⡏⢀⡀⢠⣿⠁⢀⢴⡄⠀⠀⠀⠀⠟⢈⣿⣀⠀⠀⠀⠀⠈⠉⠉⠉⠉⢉⣡⣴⢟⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣤⣤⣴⡾⠟⠛⢁⣠⡴⠫⣠⡟⠃⠀⠀⠀⠀⠀⢀⣾⣳⠃⠀⠀⣾⠏⠀⠠⢺⡇⠀⠀⠀⠀⠀⠈⢹⣟⠛⠛⠶⢶⣷⣤⣴⣤⣶⠟⠩⣾⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⣿⣳⠄⢀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡦⠤⢶⣦⣄⣤⡀⠀⠈⠷⢬⣤⠀⠀⠀⠀⠀⠀⠀⠹⣥⣀⣀⣀⣠⣷⡶⠟⠋⣠⡾⠋⢀⡀⠀⠀⠀⠀⢠⣼⣇⣿⠀⠀⢲⡿⢀⠀⢰⣼⡧⢦⣀⠀⠀⠀⠀⠈⠙⠿⣶⣶⣦⣀⣤⣤⣬⣁⣠⣾⠿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⢷⣦⣿⢛⢺⣷⡛⢳⣿⠚⡏⡛⠃⠀⠀⠀⢀⣀⣀⣀⡀⢀⣤⣈⣽⣯⣭⣥⣿⡿⠿⠷⣶⣦⣼⣍⣡⣆⢀⣀⡀⠀⠀⠀⢸⡛⢛⢉⠉⠀⣠⣼⠟⠋⠀⠐⠛⠁⠀⠀⠀⢠⣼⣟⡁⠟⠀⢠⣿⣧⠈⠀⠸⣿⣷⡾⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠉⠉⠉⠉⢹⣄⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠙⠛⠉⠉⠉⠁⠀⠀⠀⠀⢰⣾⢷⣼⠋⠉⠉⠙⠛⠛⠛⠻⠿⠾⠿⠿⠿⠿⢾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡏⠸⠋⠀⠀⠘⠋⠹⠉⢷⠄⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⠏⣹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡿⠈⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠸⣏⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣄⣤⣤⣄⣠⣄⣄⣤⣤⣠⣤⣤⣤⣤⢤⣤⣾⠀⣠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⡛⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡇⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣉⣉⡩⠍⠉⠙⠉⠉⠉⢩⣤⣤⣤⣴⠦⠶⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⠦⣤⠶⠶⠦⣨⣿⢩⣼⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠈⢳⡈⠿⡆⠐⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⣀⢀⣀⣈⣩⣿⣴⣶⣦⣦⣴⣶⣶⣦⣦⣶⣤⣤⣶⠷⠶⣶⣶⣶⢶⣶⣶⣶⡶⣷⣶⣶⣶⣤⣦⣦⣤⣤⣤⣤⣼⢿⠟⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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FREE PALESTINE. ISREAL SEPERATED KIDS FROM THEIR PARENTS AND KILLED THE PARENTS AND THEY BOMBED PALESTINE. DOZENS OF PPL ARE BEING KILLED THERE DAILY!! BOYCOTT STARBUCKS AND MC DONALDS!! FREE PALESTINE 🆓🇵🇸
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⡿⠟⠻⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠿⠁⡀⠴⣿⣮⣤⣻⣧⣤⣤⣤⣤⣤⣼⣏⢹⣧⠐⡄⠘⢿⣄⣤⣤⡤⠴⠴⠶⠶⠤⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢀⡘⣿⣶⡟⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣆⡃⠖⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⢷⣶⠿⠋⠀⠀⠀⠀⣀⣤⣶⣶⣤⡀⠀⠀⠀⠀⠙⠛⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠇⠀⠀⢴⣿⣦⢸⡿⣷⣿⣶⡌⢻⡶⣾⣷⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⠀⠙⠁⢸⣧⣛⠻⠻⢗⣼⡇⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣷⡾⠟⠛⠻⢦⡀⠀ ⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣧⣼⡧⠀⠘⣿⠀ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣀⣼⠟⠂ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠖⠚⠛⠁⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠰⠀⠀⠀⠀⠀ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢷⣤⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣀⣀⣀⣀⣀⣀⣀⡀⢠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣤⣼⠏⠉⠉⠉⠉⠙⣿⣄⣾⠏⠉⠉⠉⠉⠉⠉⠉⠉⠹⣧⣴⡿⠉⠉⠉⠉⠉⠙⣷⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠍⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
📢WARNING FOR ROBLOX PLAYERS! Roblox has been raising prices to insane amounts. They have made it mandatory for accesories to be atleast 105 robux (no matter how small) , have increased the price of robux and have banned free/cheap body bundles. If we want this to stop we need BOYCOTT ROBLOX!! Do not buy or spend ANY robux until they stop. REPOST, ADD THIS TO YOUR ROBLOX BIO, AND MAKE VIDEOS, T-SHIRTS, ETC TO SPREAD THE WORD AND STOP THE INFLATION!!
⢰⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠶⠶⣶⠶⢶⡶⠶⡦⢰⡶⢖⣶⣶⢶⣲⣶⣶⢶⠶⠖⠲⠶⠶⠶⣶⠶⠒⠶⢶⡆⢰⠖⠐⠒⠒⠐⠒⠒⠒⠒⠒⠒⠒⠒⠖⠒⠒⠶⢢⢰⡶⠖⠶⠶⣶⣶⡒⠒⠒⠒⠒⠒⠒⠒⡶⡖⠶⡆⠀⠀⠀⢶⣶⣶⠒⢒⡖⢦⠀ ⣸⢻⡾⠟⡀⢻⣧⡴⠛⢦⡞⢸⡏⠀⠀⠀⡝⠛⣿⡇⠀⡄⢸⡯⡍⣉⣌⣉⣁⣉⢹⣹⣤⣠⣤⣦⣤⣴⣿⠀⠀⠀⢸⡇⢸⠀⣀⣀⡀⠀⠀⠀⣀⣀⣄⣀⣠⣴⣶⣶⣶⡴⢿⢨⣇⣠⠼⠋⠉⢉⣙⣲⣄⡀⠀⠀⠀⠀⣯⡇⢀⡇⠀⠀⢀⡾⣥⡀⢝⣦⡄⢸⠀ ⣼⢸⣾⣦⣤⣾⣿⣤⣤⡄⠂⢸⡆⠀⠀⠂⠉⠒⠹⡇⠀⠈⢸⡷⡁⣏⠉⠉⢿⣿⢿⠛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⡇⠈⣭⣶⣶⣿⣦⢰⣿⣿⣿⣿⣿⣟⣻⣿⣿⣷⣄⢸⢸⡟⠁⠀⠀⣴⣿⣾⣿⣿⣿⣏⣀⣴⣶⣇⣾⡟⡇⠀⠀⠀⣡⣼⣿⣻⣯⣻⢾⠀ ⣾⠔⠻⣿⣿⣿⣿⣿⡿⠀⠀⢸⣧⣠⣦⡀⠀⠀⣸⡇⠀⠀⢸⡷⡁⣟⢢⠀⣸⣽⡞⣀⣈⣛⣿⢋⣰⡋⣷⠀⣀⠀⢸⡇⢰⣿⡟⣿⣿⣃⡤⢙⣿⣿⣿⣿⣯⣬⣿⣿⣿⣏⢿⢸⣿⣧⣄⣘⡇⠉⠻⣧⣝⣿⣿⣿⢿⣿⣯⣾⣽⡇⢠⣶⣤⣸⣿⣿⣷⣶⣿⣾⠀ ⣹⣻⣶⢿⣏⢽⣯⣽⣷⠴⢳⣾⣿⣿⣿⣿⣾⣯⣽⡿⠶⢆⢸⡷⡁⣯⣷⠟⢩⡏⢧⡁⠉⠀⠉⣉⢿⣟⣿⠈⠟⣁⣼⡇⢸⠹⣿⡿⢷⣎⠳⢀⠻⢿⣧⣿⢻⣟⡭⢻⠇⠹⢻⠨⡟⠁⠘⠿⠻⣧⠀⣼⢿⣿⣿⣟⣶⣿⣿⠛⠃⡇⠈⢻⡬⠛⠟⣿⣿⣿⣿⣿⠈ ⣸⢿⢻⡄⣹⣿⡿⢻⠇⣰⣾⣿⣿⣿⡌⢿⡞⣿⣾⡇⢀⣎⢸⡷⡁⡿⠁⢀⡿⣷⣤⣭⣿⣮⣽⠉⠀⣿⣿⣿⣿⣿⣿⡇⢸⠀⠉⠛⣟⣿⡍⠀⢡⡄⢺⡽⠛⢛⣿⣿⣧⣖⣹⠀⡅⠀⠀⠀⠀⣸⣿⡁⠈⣙⣿⣿⣿⣿⡇⠠⠀⡇⣰⠟⡠⠔⠚⠻⢿⣻⣿⠏⠀ ⢹⣸⣞⣽⣾⣿⣷⣬⣇⣧⢻⡀⢁⡾⡸⡈⣿⣿⣿⣱⣥⣿⢸⣷⡁⡧⠀⣬⢲⣿⡏⣻⣿⣿⣿⣶⢀⣿⡏⣿⣿⣿⠟⡇⢸⢄⠀⠀⠘⢛⣫⠥⠖⠓⠒⢶⣿⠿⠋⠳⠿⠟⢻⢠⡇⠀⠀⠀⢀⣿⣼⣿⣿⣿⣿⣿⣿⣧⣤⣶⢦⣗⣸⡥⢤⣤⣾⡶⠾⣿⣿⡄⠀ ⢻⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⢸⣷⣃⣿⡦⣤⣿⣿⣿⠿⣻⣿⣏⣉⣩⣿⣿⣿⣁⣀⣠⣇⢸⡦⣼⣿⣿⣷⠦⣴⣶⣶⠶⣲⡿⢿⠒⢺⡾⠿⡏⢰⡿⢿⡏⢹⡟⠛⣯⠉⣿⢋⣿⠀⣿⣉⣹⠀⢾⣏⣹⠇⣸⣧⣴⠟⣘⣷⣤⣧⠀ ⢸⣿⣿⣿⢿⣿⣿⣿⠽⢧⣿⣿⠿⣿⣷⣾⠗⢻⣿⣿⡚⢋⡬⠿⣏⢙⣿⠿⡏⠉⡟⠟⣻⠉⣻⢛⣻⡄⢺⣋⣹⡆⢰⣋⣍⡇⠀⣏⣴⠿⢀⣻⣦⣿⣀⣳⣤⣿⣂⣼⣷⣾⣥⣬⣷⡿⣥⣤⠿⡿⢷⣀⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠀⠃⢹⠀ ⢸⣾⢿⡇⠠⣏⣉⡿⠀⢯⣉⡽⠀⢹⣤⡼⣀⣸⣤⣴⡃⣨⣷⣾⣋⣠⣿⣾⣧⣤⠿⠿⠯⠦⠾⣿⠻⠖⠞⢛⣛⠓⠒⠛⣛⡛⣿⡿⠛⢻⠍⠙⡇⣾⡏⡉⣿⡯⢟⡻⣲⣾⠛⠓⢦⣤⣤⣤⣸⣇⣼⠆⣿⣿⡟⠛⣿⣿⣿⣿⠿⣟⣻⣿⣿⣿⣿⣿⣿⣇⡁⢸⠀ ⣼⣿⣿⣿⣿⡟⣻⣿⣾⣏⣽⡿⣿⣟⣿⢯⣥⣡⡁⠘⡇⠁⠀⠀⠐⠻⣷⣞⣻⣿⣳⣤⠀⠀⠀⢼⠁⢠⡶⠚⠏⡷⠾⡛⠹⢿⠉⣓⠀⣿⠃⠠⡇⣙⠻⣥⣿⣷⣾⠛⠻⠬⢤⡤⢴⣿⣿⡿⠟⠋⢹⠃⣿⣿⣧⠀⠙⠃⣖⣳⡶⠚⢘⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀ ⢽⣿⠻⣽⣿⣿⣿⣿⣷⣿⣿⣴⡿⣿⣟⣿⣻⡏⣴⣾⡇⠀⠀⠀⣰⢋⣾⡉⡝⡉⡹⣎⢳⡀⠀⣸⠀⠀⢳⡄⠀⢀⣴⠷⠘⠉⠉⡟⠛⠉⠀⠀⡇⠰⠀⣀⠛⢿⡁⠉⠀⠀⠀⠀⣎⠉⢐⠀⠀⠀⠀⠀⣿⣾⠁⢴⢦⣤⣶⠶⣴⣦⣾⣇⣾⣿⣿⣿⣿⣿⣿⣿⠀ ⢺⣻⣿⣿⣿⣿⣿⣿⡿⠉⣯⠛⠓⢮⣙⡵⠋⠉⣌⢉⡇⠀⠀⠐⣇⢸⠧⣀⣿⣁⡵⡟⠀⡇⠀⢼⠐⠀⠈⠳⠰⠋⢳⡠⣤⣤⡴⠃⠀⠀⠀⠀⡇⠱⠀⠀⠛⠘⢷⣤⣤⣶⣛⡇⣟⠃⠾⣀⠀⠀⠀⠀⡏⣼⠧⣀⠀⠀⠀⠀⣀⡠⢿⠫⣽⣿⣯⣿⢿⣯⣿⣿⠀ ⢸⢽⣿⣿⣿⣿⣿⣿⣗⡀⢀⣤⣼⣾⣿⣿⣷⣆⡇⢠⡇⠀⠀⠀⢩⠘⣆⠀⠉⠀⢀⡇⣰⠃⠀⢺⠈⠀⠀⠀⠀⠀⠀⣣⣙⡿⠁⠀⠀⠀⠀⠀⡇⣩⠀⠀⠀⢀⡄⠂⠛⢢⡀⢠⢿⡆⠀⠉⠀⠀⢀⡀⡇⢹⡀⢀⣉⠿⠟⠻⢥⣀⢐⡧⡟⣿⠉⣿⢸⣁⣃⣻⠀ ⢸⣿⣿⡿⠿⣿⣿⣿⠛⣿⣿⣿⣿⣭⣉⣿⣿⣉⣿⣿⡧⣄⣀⠀⢨⣦⣿⢢⣤⣤⣾⡿⡆⠀⠀⣹⠀⠀⠀⠀⠀⠀⢰⡏⣼⣿⣄⠀⠀⠀⠀⠀⡇⣽⠘⠉⢍⣻⣿⣿⡿⠿⣿⣳⡟⣿⠿⠿⢝⡋⢿⠄⡇⠀⠓⠃⠈⠢⡀⠀⡴⠉⠙⠀⣛⠈⢯⡏⣔⠪⣅⣿⠀ ⢿⣿⣿⣇⠐⢧⣤⠿⠀⢿⣉⣻⠀⢾⣋⣽⠆⢹⡋⢻⡆⢸⡟⢻⣿⠹⡿⠿⡏⠉⡿⡿⢷⠲⣶⢿⡼⡶⣶⣶⣶⡦⢾⣿⣿⡿⢿⣤⣤⣤⣤⣤⡇⢾⣶⣎⣉⣹⣿⣽⠂⠀⡿⠳⣦⣮⠇⠀⠀⠈⢹⡂⡇⠀⠀⠀⠀⠀⢈⡾⡀⠀⠀⠀⣰⣴⡏⢙⠦⣙⡶⢻⠀ ⢸⠘⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠑⠚⠓⠒⠒⠒⠛⠛⠒⠂⠻⠭⠥⠤⠽⠷⠧⠤⠽⣶⣟⣀⣹⣶⣝⣃⣙⣧⣼⠇⠸⢥⣤⠇⠀⣯⣉⡿⠐⢿⣙⣿⠀⣾⠛⢻⡉⢹⣟⢻⡏⢻⡿⠿⡝⢻⡿⠶⣏⠁⣽⣶⣶⠶⣶⣶⣤⠟⢧⣤⣶⠯⢿⣼⣦⣮⣁⣀⣀⣼⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠒⠚⠙⠛⠓⠒⠚⠛⠛⠰⠬⠯⠯⠥⠬⠷⠶⣧⢬⠳⣟⣯⣠⣿⣤⣽⣀⢻⣤⡾⢀⡹⣦⣸⠇⢸⣏⣩⡷⢐⣿⣟⡧⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⣟⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠉⢿⠉⠑⠒⣺⠛⠛⢻⠀ ⢸⠀⠀⠀⠀⠀⠀⢀⣠⡤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠠⡇⠀⠀⠀⣀⡀⢰⣷⡶⢂⣀⡀⠀⠀⢸⡇⠀⢠⠇⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠶⠖⠲⠖⠶⠾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣐⡇⠀⣴⠛⠉⠙⠳⣄⡾⠋⠉⠉⠓⣦⠘⡇⣰⠏⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣴⣋⣁⣀⣀⣀⣀⣀⣀⣈⣙⣦⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⡧⠀⠀⣤⡄⣿⠀⣄⡀⠀⠀⢘⣿⡿⠁⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠈⣳⠦⠀⠀⠀⠀⠘⠛⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠒⠚⠋⠋⠉⠉⠉⠉⠉⠉⠀⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠛⠓⠦⡀⠀⠀⠀⠀⢻⡄⠹⣄⣀⣉⡼⢻⡄⠉⠁⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠸⣇⣀⡤⠶⠦⢤⡀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣠⣄⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠈⣷⠀⠀⠈⠀⠀⠀⠑⠦⠤⠤⠖⢻⠇⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⣠⣤⠴⠖⠛⠉⢉⡿⠀⠀⠀⠀⠙⣦⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⢠⠞⠋⢩⡙⠉⣩⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⣤⡄⠀⠀⠉⣽⣯⣍⣉⠉⠙⢦⠀⠀⢸⡆⠀⠀⠀⠀⠘⣇⡀⠀⠀⡠⠚⠄⡀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢺⠑⠀⠀⠀⠀⠀⠈⣇⠀⢀⣤⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡟⠀⢀⣼⡇⠀⣼⠆⢀⣾⠟⠛⢿⣄⠀⠀⢰⡟⢾⡄⣠⠿⢳⡀⠀⠀⣼⡏⠉⠙⠓⠀⠸⡆⠀⠐⡇⠀⠠⣦⣀⣠⠖⠈⠉⠉⠀⠀⠀⠈⠉⠉⠹⣄⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠉⠀⠀⣼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⢠⡇⠀⠈⣿⠙⠛⡿⠇⣺⣯⠀⠀⠈⣿⠀⢠⢯⠁⠘⣎⢱⠃⢻⣓⠀⢰⣿⠤⠆⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠉⠳⣄⣀⣀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠈⢹⣟⢃⣀⡄⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⢀⡽⠶⠶⢦⣞⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⢸⠀⠀⢀⣿⠀⢸⣯⠁⠘⢷⣤⣤⡾⠏⠐⡷⠃⠀⠀⠈⠁⠀⠘⣿⠀⣼⣧⣴⣶⣶⡄⠀⠀⡇⠀⠀⣷⠀⠀⠀⠀⠀⠈⠁⠀⠀⠉⠳⢤⣀⣀⠀⠀⣀⣠⡽⠟⠋⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⢠⡟⠀⢀⡀⠀⠘⡆⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⢸⠀⠀⠈⠋⠀⠈⠁⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⢸⡁⠀⠙⠃⠀⠀⣇⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣀⠀⢠⡍⠀⢀⡀⠀⠀⠀⠀⣀⠀⠀⠀⡇⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⢺⠲⠦⠤⢤⣤⣼⡇⠀⠀⠀⠀⢰⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡇⠀⠀⠘⡆⠀⠀⣸⣿⡀⣠⣿⣷⠀⣠⣾⢿⣆⢻⡆⠀⢰⡿⠀⢺⡇⢰⣿⠛⠳⠀⣠⡾⠻⡇⠀⠀⡇⠀⠀⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠈⣏⠀⠙⠦⣄⣠⠴⠋⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⣇⠀⣴⡟⠈⡿⢽⠀⢻⣇⡿⡄⠀⡿⡜⣿⢠⡿⠁⠀⣸⡇⣻⡿⢶⣤⠀⠛⠶⠶⣢⠀⢸⡇⠀⠀⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⢠⠖⠋⠁⠀⠀⠀⠀⠀⠀⢠⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⢹⢀⣿⠀⠀⠘⠛⠀⠀⣽⡜⢧⣤⠟⠁⣸⣟⠁⠀⠀⠸⠇⢙⡿⣤⣤⣦⢖⣆⣠⡿⠀⢸⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠘⣆⠁⠀⠀⠀⠀⠀⠀⠾⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠙⠊⠁⢀⡼⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠹⣄⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠈⠒⠒⠖⠲⠲⠖⠒⠒⠒⠒⠒⠓⠚⠒⠓⠚⠓⠒⠚⠉⠛⠉⠉⠉⠉⠉⠉⣻⠿⣿⡖⠒⣦⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠈⠘⢧⣠⡼⣦⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣃⣹⣿⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣿⠛⣷⠒⠶⠲⠖⠶⠲⠶⠒⠦⠶⠖⠶⠶⠲⠶⠖⠶⠲⠖⠒⠚⠛⠛⠛⠋⠋⠉⠉⢧⠉⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣀⣠⣀⣤⣤⣤⣤⣤⣤⣦⣴⣶⣶⣶⣶⣶⡖⠲⠶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⢟⡉⣩⠟⠋⠉⠀⢀⣄⠉⠉⠓⢾⡋⢉⣉⡈⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠾⠿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣄⣀⠀⠀⠈⠋⠀⠀⢀⣠⡷⢤⣯⣄⣀⣤⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠸⡆⠉⠉⠛⠙⠋⠛⠙⠉⠁⠀⠀⠀⠀⠉⠉⠉⠛⠛⢷⣶⣶⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠋⠛⣽⠋⠙⠉⠉⠉⠀⠁⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡤⢤⣤⣤⣶⠶⣶⣶⣶⠲⣲⠶⢾⡟⣻⡿⢿⣿⢫⣿⡟⣏⠀ ⣸⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⠶⣶⣶⣶⡷⢲⡶⠶⡖⢛⡿⠿⣽⠛⣿⠟⣿⠉⡽⠛⢻⠍⢹⢛⣻⡇⠸⣏⣽⡇⠸⣏⣡⠿⠀⣿⣤⡿⣀⣻⣤⣜⣀⣙⣷⣞⣣⣼⣷⣶⠥⠬⠿⠿⢵⠀ ⣽⣶⣶⣶⢖⣶⢶⣶⠒⣾⠿⢿⡛⣿⠿⢻⡍⢽⡛⣻⡏⢹⡟⢻⡿⠰⣯⣩⡷⠐⢏⣉⣻⠂⣽⣬⡼⠃⡙⣦⣼⣃⣘⣲⣶⣇⣤⣷⡶⠯⣄⢻⣿⣿⣶⣾⡿⠛⠲⢾⠛⠓⠓⠚⠋⠉⠈⠉⠉⠓⢺⡋⠉⠁⠉⠀⠀⠀⠀⠀⠀⢀⣤⠎⢡⣤⣬⣳⠀⠀⠀⣸⠀ ⢹⣿⣿⣟⣈⣿⡶⣿⣠⣿⣾⣿⣤⡿⠿⠿⣦⣾⣿⢿⠷⠶⠟⢛⣲⣿⣿⡿⢻⣟⣛⣿⡏⢹⡗⡋⠁⠀⢀⡠⠤⣄⣀⣄⡴⣎⣤⣤⣌⠙⠾⢺⣿⣿⣿⣿⣿⣶⠶⣺⢿⢦⡤⣤⣀⡀⠀⠀⠀⠀⠺⠟⣛⣿⠿⣭⣟⣻⣿⣿⣟⣿⠎⣥⣭⣝⣛⣿⢋⣹⣿⢻⠀ ⢻⣿⣿⣟⢣⡀⣽⣳⣾⣟⣛⣿⣿⣷⠀⠀⣿⣿⣿⢋⠀⠀⠁⢛⡿⣃⣿⡾⢷⣏⣄⠩⣽⣿⣏⠀⠀⠀⢻⡔⠛⣏⣹⠦⠿⣿⡛⡟⢾⡃⣠⢠⣿⣽⣧⠉⢹⣧⠉⣿⢺⠟⡧⣟⠢⠽⠿⠷⠆⠃⢀⣾⣷⢿⣶⣿⣿⣿⣿⣿⡿⡏⠀⢽⠚⢫⠟⣏⣀⣠⣉⣾⠀ ⣹⣿⣿⢟⠆⢘⣿⠚⢿⣿⣿⠿⡿⣿⡇⠀⣿⣷⢾⡹⠶⣴⣶⣿⡿⠿⣿⣿⣯⡟⠛⢾⠻⠛⡧⡷⡒⠴⢾⣽⣿⣽⠛⠆⣠⣼⣷⣦⡋⠁⢹⢰⣿⣿⡋⣶⣇⠻⣧⣗⠾⣷⢧⡟⠀⠀⠀⠀⢀⡄⢸⣿⣷⣾⣿⠏⣿⣿⣿⠈⢻⢀⢠⡼⣎⠁⢠⣿⣿⣿⣿⣿⠀ ⢾⢿⣿⣾⣄⡼⢿⢩⠀⠑⣴⢻⣷⣏⣰⣆⣿⡵⢻⣱⠀⣸⣿⣿⠀⠀⠈⣣⣈⡇⡀⠈⡀⠀⡱⣏⢀⡰⢻⢟⡀⢋⣠⠶⠟⠿⣿⡿⡇⠀⢀⢺⣿⣿⣿⠿⠿⣞⠙⠛⢷⣶⣾⣅⡀⢠⣶⠎⠁⠖⢸⢿⡛⣿⣤⠀⢻⣿⣉⣠⣾⣿⣾⣿⡟⠀⣿⣿⣿⣿⣿⣿⠀ ⢺⣿⣿⣿⣿⡄⣺⣶⣶⣶⡿⢻⣿⣿⠿⠏⠙⠙⢻⣼⣦⣾⣿⠿⢧⣤⣴⣼⣿⢻⣄⣋⡇⠰⡇⡗⢦⣴⣏⣨⣟⠛⡅⠀⠀⢰⢁⡄⡇⠀⢨⢸⣿⣯⡟⢀⣴⠾⣀⣀⣴⠾⣿⢿⠛⠛⢇⠀⠀⠂⢾⣷⣦⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⠬⣿⣾⣿⣿⣿⣿⣿⣿⠀ ⣿⣾⣿⡏⠘⡿⠛⣯⠙⣿⠿⢿⠛⣻⣶⣶⡶⢶⣾⣼⡿⢿⣿⣤⣼⣿⣿⣿⡿⠷⣿⣿⣃⣰⠏⣇⣸⣷⣿⣿⡃⠀⢸⠀⠀⠀⣽⣾⡇⠀⢰⠸⣷⠈⠶⠿⢅⣰⣿⡋⣈⣾⣇⣈⣲⣤⣈⡧⣤⡇⢺⣿⠿⠛⣿⣿⣀⣿⡿⠿⢶⣿⣏⣳⡭⣽⣿⣋⣿⣟⡻⣿⠀ ⣸⢻⢿⠷⣤⠿⠷⠭⣤⣽⣶⣿⣀⣙⣶⣼⣂⣘⣧⣼⣇⠨⢧⣽⡗⠨⣏⣉⡇⠀⣏⣉⣹⠁⣽⠛⠻⡆⢽⡛⢻⡏⢹⠿⠿⡟⠉⡿⠷⣶⠻⣬⣷⣷⠶⣶⣶⣶⠿⣾⣿⣯⡿⣿⣮⣭⣿⣼⣁⡆⢸⣿⣰⣶⣿⣿⣶⣋⣹⣶⣾⣏⣼⣟⠿⣿⡟⡻⡟⢛⠟⣹⠀ ⢿⢸⠩⢸⡿⣦⠀⣤⣍⣨⠗⠀⠀⠀⠀⢀⣩⣿⢿⡟⠻⣿⢸⣿⡭⠉⠛⠛⠛⠿⠶⠿⠷⠖⠚⠛⠻⠴⠬⠿⢿⡤⣼⡟⢲⣧⣀⣓⣶⠛⠀⠛⠤⠜⠀⠹⢤⡼⠀⢸⣉⣉⠇⠰⣯⣩⡇⠐⡏⠛⣧⠈⣿⠛⣻⠉⣿⠻⢿⠉⢹⡿⠿⡟⢛⡿⣿⡟⠳⣶⣶⡿⠀ ⢻⣨⠰⣸⣷⣬⣯⣿⠁⠀⠀⢀⣀⣀⠰⣏⣀⣀⣤⣄⣠⣶⠸⣟⠮⠑⣤⣶⣶⡀⠀⠀⠀⢀⠀⠀⢰⣾⣿⣿⣿⡴⢻⡇⢸⣿⣿⣿⣥⣴⡆⠀⠀⠀⣠⣶⣿⣶⣷⣿⣿⣤⠀⢰⡟⠓⠒⠚⢿⡿⠳⠶⠟⠻⠧⢤⣾⡷⠾⠤⣼⡷⢞⣣⣈⣷⣤⣟⣈⣿⣶⣇⠀ ⢼⢸⣿⣿⣿⣿⣿⢿⣦⣴⣾⣿⡿⣿⣷⣄⢹⣿⣿⡟⣿⡧⢸⣏⢥⣼⣟⢻⣟⠛⡄⢠⣀⣿⣶⣤⣾⣿⠧⢿⡚⣧⣸⡇⢸⣿⣿⣿⣿⣿⣿⡹⣗⣢⣿⣿⣿⣿⣿⣿⣿⠋⠀⢸⣷⣄⣰⣾⣿⣶⣤⣾⡷⣀⣤⡀⣾⡿⠀⢀⡀⠁⢸⠀⠀⣀⣀⣘⢿⠘⣁⣹⠀ ⢸⢲⣽⣿⢤⣤⣿⣷⢋⠼⣿⡿⢧⣸⣿⣿⡿⣉⣠⣷⡟⠶⢘⣯⠀⣿⣯⣀⣈⣽⣿⣾⠿⣿⣟⣫⢹⣧⣤⣼⣧⣿⣿⡇⢸⣿⣿⣿⣿⣛⣿⡇⠘⣯⣿⣿⣿⣿⣶⢧⡇⠀⠀⠘⣿⣿⠿⣿⣿⡿⠿⢿⣿⣿⣿⡿⣛⣑⣦⠿⠏⠀⢰⢠⣿⣿⢿⣿⣿⣶⣿⣿⠀ ⢸⢸⠹⣿⣿⣿⣿⣽⡆⠀⣸⣿⣏⠀⠈⢿⣿⡏⠉⠉⣇⡹⢸⡧⠈⢛⣿⣿⣿⣿⣿⡿⣀⣤⣩⣷⣾⣿⣿⣿⢿⣿⣿⡇⢸⢸⣿⣿⣿⣿⠟⣻⣾⣽⡟⣿⣿⣿⣿⣄⣀⠀⠀⠀⡟⣿⣀⣽⣄⡀⢀⣿⣋⠁⣿⣿⢻⣿⣿⡇⠀⡄⣹⣸⣿⣏⠈⠋⢹⣿⣿⣿⠀ ⣾⠸⠀⢘⣿⣯⡼⠿⢷⡾⢿⣿⡿⣦⣤⣼⡯⠥⠬⢽⣷⣿⢸⡇⠀⣸⠿⡃⠻⣤⣻⣿⠝⠟⣿⡿⠛⢿⣯⣀⣸⣵⣫⡇⢸⢸⣿⣿⣿⣮⣷⣿⣿⣿⡿⣿⢛⣿⣿⣿⡿⠷⠀⢈⣿⣿⣿⣯⣈⡿⠋⢹⡟⣶⠿⡁⢯⠅⡿⣷⠞⡇⣽⢭⠙⠻⣶⢾⠏⣟⣿⣿⠀ ⢸⣲⢒⢫⡿⠟⠀⠚⠿⠤⠼⠿⠇⠹⠿⠿⠁⠀⠀⠀⠛⢯⢸⡽⣷⣿⣦⣝⣯⣿⣗⣬⣟⠻⠻⠿⣿⣿⣿⣿⣿⣯⣷⡇⢸⢸⣿⣿⡟⣿⢼⣿⠳⢷⣾⣥⣾⣿⣿⣿⡇⠀⠀⢈⡿⣯⡟⣾⠋⠰⠿⠏⣷⣿⡆⣙⣶⣎⠱⣞⣾⡇⣿⢚⠀⠰⣷⡾⠇⣩⠟⢹⠀ ⢺⣹⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⣖⣀⣀⣀⣀⡼⠸⣟⣉⣛⣲⣴⣦⣤⣤⣼⣍⣆⣡⣴⣧⣤⣤⣾⣛⣆⣀⡗⢹⣾⣿⣽⣗⣶⣶⣝⣶⣿⣿⣻⣿⣿⣿⣯⡵⡬⡦⠘⣇⣀⣇⣘⣇⣀⣀⣐⣿⣿⣤⣿⣿⣽⣴⣿⣿⡇⢿⣸⣀⣀⡞⠀⢛⣄⣁⣸⠀
𖦹ᵔ ᵕ ᵔ 𖦹
𝄃𝄃𝄂𝄂𝄀𝄁𝄃𝄂𝄂𝄃 💳
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⣿⣭⣏⣿⣿⣿⣿⣿⣴⠞⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠽⢟⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣷⣶⣿⢀⡠⢄⣄⣀⣀⡠⣿⡦⡴⠿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣋⣼⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⡩⠀⠀⠀⣠⡶⠖⠛⡉⠁⠀⠉⠼⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⡯⡀⠛⠛⣿⣿⣿⠁⢨⣟⣻⡄⣠⠎⠁⠘⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⣠⠴⢚⣡⠴⣠⠖⡏⠀⡄⠈⠀⡠⠐⢀⣤⠀⠘⠩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠧⠀⣰⠋⠀⠻⣶⠿⡏⣁⣿⡃⠤⠤⢼⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣵⣿⢿⣽⣯⢿⡽⣯⣟⢿⡽⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⠟⠉⢛⠏⠁⣈⣿⣿⣞⣿⣿⡿⠿⠿⠿⠿⣿⢿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⡠⢾⣿⣿⣏⣴⠞⣡⠞⢀⡜⠙⡔⠁⣀⠠⣿⡿⠀⠀⠀⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣏⢳⣤⡁⠀⠀⠀⢯⣼⣥⣟⠉⣦⢀⠀⡸⠀⣿⣿⣿⣿⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣯⣿⣷⣻⢯⣟⣷⣫⣟⢾⡹⢧⣻⢱⢫⡝⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣾⡀⡜⠹⣿⣹⣞⣯⡷⠀⠀⡠⠚⠑⠠⡀⠙⡿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣴⡯⢛⣽⡯⢷⣻⢋⢾⠋⣠⡏⢠⣞⣀⣼⠇⡀⠉⠀⠀⠰⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣷⣼⣧⣾⣿⢢⡠⠊⠁⠸⣇⣸⣡⠞⣓⣚⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣾⣟⡿⣞⣷⡳⣏⡷⣏⢷⢣⡛⢦⢭⠱⣉⠖⡠⢌⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠿⣿⢷⣧⡀⠙⠛⣟⣧⣸⣶⣎⡈⠑⠢⠀⠙⢄⠈⠢⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⡁⠀⣠⡾⠋⢠⣾⠿⢲⣾⣷⢡⠃⣴⡟⣿⣿⣿⣯⣼⢲⠁⠀⠀⠀⠀⡇⢾⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢳⣿⣿⠿⣿⢿⣯⣝⠲⠤⠠⠤⢼⣶⣿⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⠾⣝⣻⡼⣝⢮⢳⣹⣮⣆⠏⡴⢎⠱⡀⠆⡁⠃⠄⠂⠀⠈⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣎⡳⣜⢧⡹⣿⣶⣴⣿⣹⣿⣯⣿⣌⢢⣀⣱⣄⠀⠢⡀⠙⠻⣿⣿⠟⣿⣿⠟⣡⠞⠀⣼⠟⠱⣿⠏⠁⠀⣾⣿⣯⣼⠏⣼⣰⣷⣿⣏⡀⡎⣼⡄⠀⠀⠀⠀⡇⠉⠙⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠟⠁⡀⣈⠿⣿⣤⣼⡿⣽⡛⠂⠤⠤⡶⢽⣿⠿⢋⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣯⣞⣿⣟⣿⣿⢚⡡⢊⠔⣁⠂⠡⢈⠀⡀⠀⢀⣴⠞⠉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢿⣷⡉⢿⣻⢿⣛⣿⢛⣏⣿⣷⡻⣿⢿⣿⣿⡏⠐⡀⠘⣄⣧⠟⠁⣼⣿⣫⣾⢃⡆⢀⡏⠀⡰⠁⠀⠀⠸⠻⣡⣿⠋⠠⣿⣿⣽⣇⠀⣿⣱⢿⡇⠀⠀⠀⠀⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢏⡅⠊⢠⣞⡵⠊⠉⠢⢜⡿⣟⣛⣀⡀⢿⣶⡟⠀⠀⠂⢀⣾⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⣾⣿⣤⣧⣘⡐⢊⠄⠌⡐⠀⢂⣠⣴⡟⠁⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣯⠻⣿⣿⣦⠿⢿⣻⡧⠖⠻⠿⠛⠁⠈⢻⣷⠿⣦⣄⣰⡴⠻⠑⣴⣾⣿⣿⣿⣧⡟⠀⢸⠃⢰⠃⠀⠀⠀⠀⠀⠁⢻⣆⡰⠉⠻⢯⣿⢷⣿⣇⣿⢧⢰⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠎⠀⣼⠟⠁⠀⠀⠀⠀⢀⣿⣿⣿⣟⣿⣿⡿⢀⠆⠀⠀⠈⠉⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣮⣄⣐⣴⣿⣿⣯⡤⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠴⣙⣷⣇⡈⣿⣳⡄⠻⣀⠀⠀⠀⠀⠀⣠⠊⢽⠓⠛⣿⣿⠓⣴⢻⣳⣿⣿⣿⣿⣿⢠⠃⣼⠁⡏⠀⠀⣠⣤⣾⠭⠶⢎⣻⣅⡀⠀⠀⠀⠈⠋⢹⠿⣼⡸⠀⠀⠀⠀⠀⠀⠠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣼⠃⣠⠞⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡾⣽⣷⣾⣀⣠⠄⠀⢠⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠽⠟⠁⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣈⣶⣿⠿⣋⣿⢿⣷⣿⣷⣎⡇⠀⠀⠀⠀⠀⣠⣾⡥⢤⣫⠉⠑⠛⠒⠃⠼⣿⣿⣿⡏⡿⢰⣻⢸⠁⠀⢀⣿⣿⣿⣦⣤⣤⣤⣶⣿⣷⣶⠖⠀⠀⠈⠀⢹⣷⡄⠀⠀⠀⠀⠀⠸⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠃⡰⠃⠀⠀⣰⣶⣤⣀⣀⣾⣿⣿⣿⣿⣿⣿⡗⣿⣽⣿⣷⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠹ ⡷⣿⣿⣿⣿⣿⣿⣟⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⢿⡽⣷⡇⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣇⣼⢯⣿⣇⢲⣿⣿⡆⡂⠻⡟⠉⠀⠀⣠⣄⣠⣿⢯⣤⣤⠀⠈⢳⣄⢀⣤⠀⢀⢼⣿⣿⣿⡇⣿⣿⣾⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⡄⢿⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⠙⣷⡼⠁⠀⠀⠀⠈⠙⠛⠛⣹⣿⣿⣿⣿⣿⣿⣿⡷⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⠟⠃⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⣿⣿⣿⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣻⣏⣼⡏⡅⣿⣿⣿⣷⡁⠀⢸⣿⡀⣼⣿⣻⠋⡠⠁⠈⠉⠀⠀⠀⠙⢾⣿⣷⡁⢻⣿⣿⣿⣷⣿⣿⡏⡄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡿⠦⢄⣀⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⣷⠿⠻⢟⡟⠛⣿⣿⣿⡿⠛⠁⢀⣠⣤⡤⠔⠂⠠⢁⠂ ⣿⣿⣿⣿⣄⣸⣿⣿⣯⣿⣟⡷⣯⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣷⣯⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡟⢻⣧⣿⣿⣿⡇⣺⣿⣿⣿⣿⣧⠀⢸⣧⣼⣿⣳⣿⣯⣤⣶⣿⡏⠀⢠⠔⣊⠉⠙⣇⠜⢁⣿⣿⣿⣿⣿⣿⣷⠁⠀⠀⣿⣿⣿⣿⣿⣿⠿⢿⠟⠀⠀⠀⠀⠀⠀⠀⣰⠞⢻⠆⠀⡀⠀⣷⡈⣿⣿⠟⣋⡁⠀⠄⣿⢱⣿⣾⣿⡻⢅⠀⣠⣤⠀⠀⢞⡼⡻⢁⣿⣿⣿⣿⣿⡿⢁⡿⣡⠃⠀⣠⠞⠹⡍⣷⣼⣯⣶⣶⣾⣿⡻⣽⣥⢦⣤⣥⣄⡀ ⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣾⣿⢿⣿⣻⢾⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢷⣻⣿⣿⣧⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣇⣾⢻⣿⣷⢾⣇⣿⢿⣿⣿⣿⣿⣷⣼⣿⣿⣷⣟⣾⣿⣿⣿⣿⡇⣀⣴⡛⠉⠀⠁⢨⣷⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠹⣿⠿⠋⠁⢀⡴⠋⠀⠀⠀⠀⠀⢀⣤⡾⣍⡶⡇⢰⠀⣷⣠⣿⡟⠋⠱⠛⠋⢁⠀⠆⢹⣷⣻⣿⣝⠇⢀⡉⠙⠢⠤⣴⣯⡔⢁⣾⡿⣿⣿⣿⣿⢳⡏⣷⣯⡔⠊⢡⣀⠄⣿⢿⣿⣿⣿⣿⣿⣷⣿⣶⣯⣽⣟⣿⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⢿⣿⣿⣿⢩⠶⡬⣙⣿⣿⣿⣿⣿⣷⣯⣿⣽⣿⣻⢿⡀⠀⠀⠀⢀⣾⣿⣯⣿⣿⣿⣿⣼⣿⣻⡿⣟⣿⣦⢻⣿⢿⡏⣽⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⠉⢹⣿⣻⣶⣤⣊⡍⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠒⠤⠒⠋⠀⠀⠀⠀⣀⣤⢶⣿⢣⣷⣿⣿⣇⢸⣧⡿⠿⠋⠀⠀⠀⢀⠐⢀⠂⣠⠄⠹⣿⣿⣏⠳⠼⣋⣀⣤⣾⣿⢟⣴⣿⣿⣟⣿⣿⣿⣟⣸⡟⣿⣿⢿⣀⣼⣏⠀⣾⠄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡽⣯⣿⣿⣿⣇⠯⣞⣴⣷⣿⣩⢻⣿⡿⣿⣿⣿⣟⣧⣻⣿⡇⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣌⢻⣿⣿⣿⣿⢿⡛⢧⢳⡸⢁⡇⠐⠀⣂⣀⡤⠜⠻⣏⣩⣼⣿⡟⢛⠹⠏⣀⠤⢋⡝⠉⠉⠙⢥⢉⡉⠉⠛⢿⣿⣄⡀⢀⠀⣀⣀⣤⣤⣴⡾⠛⠉⠀⠸⣷⣿⣿⣿⣿⢿⠟⠛⠃⠀⠀⠀⡀⠂⠀⣈⣤⢞⣡⠖⠋⠀⠀⠈⠉⠉⢉⣽⠟⢉⣼⣿⣽⡓⠈⠻⣿⣿⣾⣿⣿⡷⠾⠋⠙⣟⡹⣏⣿⡿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣽⡾⣽⡿⣿⣿⣿⣿⣷⣿⢿⣽⡟⣙⣹⣙⣿⣿⣿⡏⢿⣿⣽⡳⣷⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⡏⢧⠘⢯⠁⠸⠖⢛⣉⡭⠤⠖⠚⠉⣝⣿⣿⠝⠃⠀⢉⡉⠄⣰⠏⠀⠀⠀⠀⠀⠠⡀⠀⡠⠊⢉⢻⣿⣿⣿⣿⣿⠛⠋⠋⠀⠀⠀⠀⠀⣿⣿⣿⠿⠚⠀⠀⠀⠀⠀⣴⣦⣶⡾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⣶⣿⣿⣿⣿⠟⠳⠦⣄⡙⢾⣽⣻⡇⠀⠤⡄⠀⢹⡏⣸⠛⣿⣿⡿⡿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣾⣿⢿⣹⠽⣿⣿⣿⣿⣯⣿⣿⣋⣛⣼⣿⣿⣿⣿⣷⢪⡻⣿⣿⠿⠛⠛⢋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢧⢸⠇⣺⠛⠉⡀⢀⠠⠀⠀⠂⠈⣿⡇⠀⠀⢎⣻⡠⠔⠁⠀⠀⠀⠀⠀⠀⠀⣈⠞⠹⣿⣿⣏⡙⣿⣿⣿⠏⠐⠖⠦⣄⠀⠀⣠⡟⣽⣿⠅⠀⠀⠀⠀⢀⡴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣟⣹⠛⠀⠀⠰⠛⢿⣿⣿⣿⡀⢸⣿⣿⠞⠸⡷⠛⠀⢿⣿⣿⣿⣦⣄⣀⣀⠐⠌⡉⢙⠻⠿⣿ ⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣞⣿⣿⣿⣲⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⢿⣇⠀⠀⠀⢈⣱⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⡿⠀⣏⠀⠄⡀⠄⠠⠀⠂⣡⠴⣺⠁⠀⣀⠴⠋⠀⠀⠀⢀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⡌⠈⠿⢹⣿⠋⠀⠀⢠⡆⠀⢙⡾⠋⠀⣼⠃⠀⠀⠀⢀⡴⢋⣴⡁⠀⠀⠀⢀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⣀⣤⡴⢂⣴⡿⣿⣿⣿⣷⣄⠉⢁⣠⠞⠓⠀⣀⣤⣿⣿⣿⣮⣹⣟⢯⡷⠦⢈⡐⢢⡁⢻ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢾⣿⣿⣧⡝⣮⣶⣌⡱⢸⣿⣿⣿⡿⢟⣽⣯⣿⣿⠿⠋⠹⣆⣀⣀⡼⠛⣹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠑⢠⣿⣷⣶⣤⣤⡴⣖⡿⠗⠚⠙⢚⣯⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⠞⠓⠹⣿⠗⢠⠁⠀⠀⠊⠁⠁⡀⠀⠘⢿⡤⠃⢾⣿⣶⡏⠀⠀⠀⣠⠞⢀⠞⢿⣿⣤⠀⠀⣿⡀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠋⣰⡯⣿⣟⣿⣾⣿⣯⣮⣵⡶⡟⣡⣾⣿⠟⣿⢿⣿⣿⣶⣙⢦⡁⠤⡙⡶⣧ ⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿⣿⣻⡿⣿⣽⠿⣃⠣⣿⣿⡟⢥⣿⣿⣿⣻⢡⣤⡄⢀⣟⣀⣯⣴⣮⡹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠸⠟⠋⣉⣤⣶⣿⣿⣶⣤⣄⣀⣻⣿⢿⣷⡀⣘⣿⣷⣄⣠⠞⡩⠀⠀⣀⣀⠀⠀⡎⠀⠀⣤⠠⠤⢄⡈⠢⣀⣞⣃⠀⠀⠉⣶⡇⠀⢀⣴⠟⠁⡘⠀⠀⠙⠋⠈⠉⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⡱⢫⣿⣿⣟⣿⣟⣻⣝⣷⣾⣿⠟⠁⣼⣣⠞⢩⡻⣿⣿⣾⣿⣦⡀⢻⢻ ⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⢞⣿⣯⣿⠳⣜⣦⣷⣷⣿⣿⣿⣾⣿⣿⣯⣓⣈⣩⣷⣿⡿⡿⣟⢿⣿⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡿⠋⠇⠀⠀⠀⠈⠿⠿⠀⠀⠃⠀⠀⢿⣀⣤⠖⠋⡠⠛⢯⢿⡿⡷⠀⠸⣇⣤⡿⠁⠀⢰⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣟⠅⣿⣿⣻⣽⣿⣿⣿⣿⣻⣿⡭⠶⠻⣥⣀⣼⣿⣷⣤⡀⠓⣹⣿⣿⣿⣿⣿⣶⡘ ⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣯⢿⡿⡽⣎⣟⡯⣜⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⢿⣿⣟⡿⣆⢷⣜⣦⣽⣷⣾⡏⡽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠆⠀⠀⠀⠀⠀⢠⠀⠀⠀⡼⠋⡠⠒⠉⠀⠀⠀⢻⣿⡇⢀⠴⡟⡿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⣿⣿⠻⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⠗⢺⣿⣿⡷⣿⣿⣿⣿⣇⠀⠀⣤⡄⣠⡧⣼⣽⣿⣷⣿⣿⣆⠈⡝⡻⣿⣿⣿⣿⣿ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣷⣿⣿⣿⣿⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⠄⡼⣿⣏⣾⣛⣯⣿⠿⢛⡃⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢹⠉⠀⠀⠀⠀⢀⡀⠀⠀⠸⠀⢠⣎⠔⠊⠀⠀⢿⣿⠀⠀⠀⣽⣉⡏⠀⡿⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⣰⣿⣿⣏⣉⣋⠙⢺⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⡟⠁⠀⣼⣿⣿⡷⣿⣿⣿⣿⣟⣀⣀⣤⡿⠟⢛⣭⡙⢿⣿⣿⣿⡽⢷⣌⡱⢌⠻⣿⣿⣿ ⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⣻⢿⡭⢏⣬⣹⣿⣿⣿⣿⣩⣿⢿⣻⡟⢻⣿⣴⣷⣿⣞⣿⠿⣯⠀⢺⡿⠇⡷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⣿⣿⣿⣟⣸⡼⣷⣦⠀⠀⠀⠿⠿⠀⣠⣴⣦⣿⡃⢠⣶⣦⠀⠀⠀⢀⣴⣊⠁⠀⠙⢆⣱⠀⠀⠀⢰⠀⠀⠀⠀⠀⣴⣿⣿⣿⣠⣴⣭⡑⢾⡿⠯⣔⠻⣿⣿⣿⣿⣿⡿⠋⠠⡎⢀⣤⣾⣿⣿⣿⣷⣾⣿⣿⣯⣯⡽⠋⠈⠿⢃⣈⣩⣤⣶⡿⣿⣿⣿⣮⣛⣷⣮⡱⢌⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣷⣿⣫⡽⢷⣿⣿⣽⡟⢸⣯⢗⣇⣿⣿⣛⠭⢟⣪⡿⠀⡇⢱⡤⢴⣺⣧⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⠋⣀⡠⢤⠖⠘⡌⠙⣿⣿⣿⣿⣧⠙⠻⣀⠀⠀⠀⠀⠸⣿⢩⡿⡏⢇⠈⠉⠁⠀⢀⠔⠉⠿⠿⠁⠀⢠⠸⢿⣿⡶⠂⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣧⣶⠒⠬⠏⠀⠀⠈⠙⠶⢥⣛⣿⣿⣷⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣟⡿⣷⣶⡟⠛⢉⣯⡅⣼⡿⢱⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣯⣽⣍⣆⣳⣈⣿⣿⣿⣷⣿⣇⡻⣾⣿⣿⣿⣮⡙⣉⡤⠞⢧⣾⣛⢾⣿⠉⠁⢹⣻⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣎⢻⣧⠈⢻⡄⠘⡄⢹⣿⣿⣷⢿⣧⡀⠈⣷⢦⣄⡀⠀⠀⣼⡇⣷⣾⣦⡀⠠⣾⣷⡄⠀⠀⠀⣀⠀⠀⠀⠀⠘⢦⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣜⣷⣖⣲⣴⣎⢦⡤⣀⢤⢀⣽⣷⣸⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣿⡿⣿⢷⣶⡶⠿⠶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢷⣿⣵⣫⢽⣛⡟⢿⠮⣽⣯⣭⣭⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⠹⣏⠁⢀⣴⠻⣏⣽⣦⣙⣆⣠⡿⠋⠀⣰⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⠳⣼⢆⢻⠳⡀⢻⡄⣸⣸⣿⣿⣿⣦⡙⠿⣶⣬⣛⡁⠀⠀⠀⣿⡇⣿⣟⠋⠙⠢⣈⢁⣤⠀⠀⠸⣿⠗⢘⣠⠂⠀⣠⣝⠖⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⢿⣿⠿⣯⡉⢡⠟⢀⠢⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⢿⡩⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⡽⣯⣿⣿⣿⣿⣷⣭⣞⢣⢋⡔⢢⢼⣿⣿⠿⣫⣿⣿⣿⣭⣿⢾⣿⣿⣽⡄⢸⣿⣤⣿⣞⠬⣻⣿⡟⠀⢠⢾⠟⣹⡾⠛⠻⡚⠿⢿⣿⣿⣿⣿⣿⣷⢠⡟⠨⢀⠷⠗⠛⠛⠉⢻⣿⣿⣿⣿⣿⣷⣶⠻⠭⠽⠷⠶⠛⢻⣿⣼⣿⣦⣠⣶⣾⣿⠟⢒⣶⣶⡒⢉⣩⣏⠔⠊⠹⣿⠇⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣻⢠⡟⢿⣧⡐⠈⣄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢇⡳⣻ ⣿⣿⣿⣿⣿⢿⣳⣿⣽⣿⣿⣿⣿⣿⡿⣸⡧⣋⠖⡬⢡⣿⣿⣿⢰⢧⣿⡿⣽⣿⣾⣻⣿⣿⣿⢿⣦⣹⢿⣿⡶⣫⢕⣿⡇⣰⣷⠎⡘⣴⠁⠀⠀⠘⣆⡀⢻⣿⣿⣯⢿⣿⡚⢧⣴⠾⢤⣴⡆⣉⣵⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡆⢀⣁⡄⠻⣿⣾⣛⢿⣿⣷⣟⠀⡸⠿⢟⣡⣾⠟⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⢿⣿⣷⣞⣻⢿⣻⣿⣿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡵⣿ ⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⢇⡓⡎⣴⣽⣿⣿⣯⢸⠏⣿⣟⣿⣿⣯⢳⠿⣿⣄⣀⣀⣤⡾⠷⠭⠭⠗⢋⡴⢣⠋⢀⣿⣿⠀⠀⠀⠀⢨⣧⣏⠙⣿⡽⣮⣽⣿⡭⠥⠂⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⠥⠒⠻⣿⡗⠀⠈⢛⣛⡛⠳⠾⣿⣶⣶⢿⡿⢋⡄⠀⣿⣿⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⠻⠿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣇⡀⣾⠉⠋⣿⠛⡙⣿⠛⣿⡏⣹⣾⣿⣿⣿⣿⡻⣿⡟⣬⣏⠶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢎⣵⡟⠥⣺⣿⣿⣿⣿⣿⣿⣿⢾⣿⡇⠀⢸⣿⣤⡿⠋⠁⠀⠀⠀⢀⣤⡿⢷⠏⠀⢸⣸⢿⡄⠀⡠⠚⠁⠀⢏⠢⣿⣿⣛⣿⣿⡽⠂⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⡦⣄⣀⠀⠀⠀⠿⠿⠉⠁⠉⢙⡟⢺⠋⠀⠘⠇⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣿⡶⠀⣼⣿⣿⣿⡟⣡⣿⣿⢿⣿⣿⢃⡏⣶⡇⣿⣿⣿⣷⣦⣿⣷⠿⢿⣿⣿⣿⡟⣷⣿⡼⣡⢿⣽⣿ ⣿⣿⣿⣿⣽⡿⣟⡿⣟⣿⣿⣿⢯⣿⣧⣿⣯⣽⣿⣷⣿⣿⣿⣿⡷⣿⣿⣿⡿⣟⣿⣄⡀⠉⠛⠁⡀⠀⠀⠀⠀⣾⣿⡁⡼⢀⡀⣿⣿⢺⣷⡊⠀⠀⠀⠀⠸⢀⣿⠿⣿⡏⢻⡏⠉⠀⠘⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⡋⠡⠒⠮⣧⠀⠹⣿⣒⣦⣤⣄⣀⣀⣤⣚⣉⣹⣦⠤⠴⠒⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠀⠀⢀⣼⣿⣿⣿⡏⣴⣻⠏⠉⡙⠓⢿⣿⣿⣤⣄⣿⣿⣿⢿⡟⣉⠻⣯⢼⣿⣿⣿⡷⢛⣿⢶⣭⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⠻⣿⣿⣿⣿⣏⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⠓⠶⢲⡤⠤⢤⡤⠼⡿⠁⢩⠃⠘⠁⣿⣿⣅⠙⠿⣤⠤⠀⠀⣶⠿⠃⠰⠿⣧⡇⡇⠀⠀⢀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣯⡞⢫⠀⠀⠀⣸⠉⠛⠙⢿⣟⣷⣿⣟⠿⠏⠉⠁⠀⠈⠱⡄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢻⣿⣿⣿⡟⣿⣷⠂⣼⣿⣿⣿⡟⣰⢷⡏⢀⠂⣄⠂⡄⢻⣿⣿⡿⣿⣿⣻⡿⢡⠎⡱⡙⣿⣿⣿⣯⡴⣛⢾⣫⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡍⣿⣷⣿⡿⠶⢦⡼⣥⣀⣘⡃⠀⠿⢀⡎⠀⠀⠀⢹⣿⣿⣿⣶⣦⣵⣶⣊⡁⠀⣰⡶⢘⣿⣇⢹⠀⠀⠀⠉⢻⣿⠿⠟⠛⠛⠉⢿⡏⠁⢄⣱⣤⡖⢻⡄⠀⣿⡀⢈⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣷⢺⣇⢹⣿⡇⠀⠁⣼⠋⢙⡿⣿⣷⣽⡟⠀⡀⢢⡟⢠⡴⣿⣿⣿⡇⢾⣷⣿⢃⠇⣎⠱⡥⣿⣿⣿⣿⣿⣷⣮⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣟⣛⣶⢗⠒⠲⣼⠟⠭⢭⣹⢯⣽⡓⡇⢸⣿⡟⣿⣶⡘⣿⣿⣿⣿⡀⠉⡠⠺⣯⣧⠈⣇⡤⠖⠚⣉⡤⠶⠒⠲⠽⠀⠄⠻⣄⡸⣿⣿⠣⡈⠻⠆⠹⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⣿⠏⣡⣼⠁⣻⣿⣿⡆⣼⠃⢀⡾⣡⠿⣿⣿⣆⠐⠡⣸⠗⡃⣼⣿⣿⣿⡇⣻⣾⡿⢌⡚⢤⣋⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣷⣾⣾⡆⠀⣻⡆⠀⢸⣿⡀⢰⢹⠃⠈⣏⣷⠹⣿⣿⣭⣬⣿⢿⠓⠉⠀⢈⣷⣿⡋⠁⢤⠶⣛⡩⠤⠐⠂⠒⠀⠀⠂⠀⢿⣿⣿⣿⢧⡛⠢⣀⠄⠉⠙⠓⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡾⢿⡿⠁⢠⣿⡟⢡⣼⠃⣠⠞⣿⣇⣀⣼⣿⡿⢀⠱⢏⠰⣽⣿⣿⣿⣿⣧⢸⣿⡏⢦⡙⢦⣙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣾⣛⣿⣛⣖⠓⠳⠴⠞⠯⠿⢼⢚⠀⠀⣯⣾⡆⣘⠋⢿⣿⣦⠹⣇⣠⢴⣋⣳⣬⣹⣶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣏⠃⢧⠀⠘⡓⠦⣴⠀⠀⠤⣀⣀⣠⡆⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⢳⡟⢳⣴⡇⠀⣾⣿⣿⣼⠃⠄⢉⣽⢣⡼⠋⢉⣾⠅⣊⠰⢈⣼⣿⣿⣿⣿⣿⣿⡆⣿⣏⢲⡙⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠛⠉⠙⣿⣿⣿⣿⣷⣼⣿⣿⣯⣟⣛⣻⣉⠙⠋⠒⠛⠃⠛⣙⣄⣭⠁⢻⡄⠃⣬⠟⣿⣷⣿⣅⣸⣿⣽⣿⡿⣿⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⡉⠳⣄⠁⣠⡷⠤⣀⠉⠉⠑⠋⠛⠛⠓⠒⠒⠒⠒⠉⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣯⢻⣷⣿⡇⠀⢠⣿⣿⣠⠏⠀⣤⣿⣿⣟⡀⠆⣘⡿⢀⢂⣼⣿⣿⣟⢯⠟⣿⣿⣿⣷⡹⢎⢧⣚⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡷⣿⣎⢷⡳⢼⣬⣙⡻⣷⣿⡿⢁⠌⠰⡀⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣧⣿⣴⣸⣃⡀⠀⠙⠁⢻⣾⣃⡷⣾⣥⡾⠋⢤⣷⣞⡻⢟⢿⣿⣿⣽⡟⠜⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣠⣷⡜⠿⢯⡀⠀⠀⠀⠀⠀⣀⣠⣶⠆⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⣿⣿⣿⣿⣿⠏⣿⣿⣛⠯⣿⡇⢸⡃⠀⠘⠛⠿⠏⠠⠈⣿⠏⢩⡟⠠⠡⣼⣏⣤⣾⡿⢋⠥⢊⠦⡙⠼⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣿⣿⡽⣭⢛⡿⣷⣛⢮⣝⡛⣟⠛⡷⢮⣻⣷⣿⡇⠠⢥⣿⣿⣿⣿⣿⣿⣿⣿⣮⡓⢶⣹⡏⢭⢻⣍⢻⡙⡛⣿⠛⡭⠙⣦⣾⣿⣯⣀⠳⣿⣿⣟⣿⣮⡢⡙⠿⠿⠇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢺⣿⣿⡇⡘⠤⣉⢳⣦⣤⣴⠖⠛⠋⠉⠉⠉⠒⠒⠒⠤⣄⡀⣿⣿⣿⣿⣿⣿⣯⡛⢛⣿⢀⣿⡇⠈⠙⠲⠭⣝⡓⠶⢤⣀⡀⠂⠁⣼⠿⣷⠏⡠⢃⣸⣿⣿⡿⣯⢐⠣⢎⡱⢊⣕⣣⣽⣿⣷⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣾⣭⣷⣿⡹⣷⡾⠟⣚⣿⢶⣭⣁⠻⣿⠇⣌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⢿⡈⠙⢳⠂⠓⠸⢜⡷⠞⢋⡽⢛⡷⢾⣿⣿⡉⠻⠟⠋⠀⠙⢱⡀⠀⠀⠀⠀⢸⣴⣤⣀⣀⠀⠀⡠⠦⠖⠁⣼⣿⣿⣡⣼⣶⡿⠿⢣⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣽⠋⠉⠙⠛⠿⣿⣿⣿⣶⣻⣬⡛⠦⢤⣄⣀⠀⠀⠉⠙⢳⣯⣽⣳⣿⣧⣼⣃⢴⣶⣴⣿⠏⣿⣿⣭⣾⣷⣾⣽⡿⢿⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⣿⣿⡷⣯⣿⣾⣳⡽⣞⣷⣬⣄⣉⣠⡽⢟⢒⢹⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠶⣵⡀⠀⣧⠀⠀⠘⢢⣠⢞⣛⢿⣧⢄⣿⡟⠛⢢⠀⠀⣴⣦⠀⢱⡀⣴⣦⡀⠘⡏⠛⠛⡡⠔⠉⢀⡤⠖⣋⠔⠢⣌⣿⠿⣫⠖⣱⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡟⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣯⣟⠛⠶⠦⣍⣙⠳⠦⣤⣺⣽⡟⢫⠟⠛⢺⣭⣻⣿⡿⣿⣾⣿⣿⣿⣿⣿⣷⢾⣧⣿⣿⣿⣿⣿⢭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣳⢯⣞⡵⣾⣕⣫⣯⡗⡸⢌⠲⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡆⠃⠘⣷⡀⠹⣧⣄⡀⣴⠏⣾⣿⣿⡏⠲⠌⢧⡀⠀⠡⡀⠙⣋⣤⣾⡇⠙⠋⠀⠀⡇⠀⢉⣠⠴⢚⠻⣦⣉⡔⢌⢣⣾⠫⣏⣥⣾⣥⣤⣤⡤⠿⠤⣀⠀⠀⠀⠀⠀⢠⠋⢠⠇⠀⢀⣠⣾⣿⢿⣻⢏⣯⣿⣿⡏⠾⠗⣤⣤⣌⡙⠳⠶⣭⣛⡳⢿⣤⣁⣾⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⡏⢾⣿⣿⣿⣿⣿⣿⡾⣿⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢧⣿⣿⣿⡿⣽⣿⣯⡷⣞⣽⣽⣿⣿⡟⣜⡱⢊⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣢⣾⡇⠀⢹⣠⣿⡿⣿⣿⣿⡟⠀⠀⠈⢆⢿⣶⡆⢳⢸⣿⡽⠊⡅⠀⠀⢀⣠⣷⣾⣍⡀⠣⢡⠣⢰⣉⠛⢾⣾⣷⣿⣹⠞⣛⣻⣿⣧⡀⠀⠀⠈⠑⢄⠀⠀⢠⠂⢀⡞⢀⡴⢋⣷⣿⡽⣾⣱⢯⣿⣻⣿⣿⣦⣼⣟⠁⠉⠙⠓⢶⣤⢈⣙⠳⠶⣭⣽⣛⣯⣿⣟⠻⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣯⢻⠿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡽⣿⣝⡻⣟⣿⠿⡿⢦⣳⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠿⣿⣛⣿⣶⣾⡟⠛⢫⢫⣉⣋⡁⠀⠀⠀⠈⣎⠉⠱⠀⡇⠉⣓⣤⠶⠒⠉⢹⣿⣿⣿⣿⣿⣶⣤⣉⠆⣌⣍⣾⣹⢻⣷⣏⣙⣿⣿⣿⣽⠗⠀⠀⠀⠀⠈⢳⡄⠀⣀⣞⡴⣻⠃⠈⢸⣿⡻⣵⣫⣿⣳⣿⣿⡏⣹⡿⣼⢀⣿⠏⣰⡄⣾⠛⡿⢗⣶⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣳⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣻⣟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻⡟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻⣟⣯⣟⡿⣽⣻⢯⣟⡿⣽⣻⡟⣿⣻⢟⣿⡻⣟⣿⢻⣟⡿⣻⣟⢿⣻⢟⡿⣻⡟⣿⣻⢟⣿⡻⣟⣿⢻⣟⣯⣟⡿⣯⣟⡿⣽⣻⢯⣟⣿⣻⣟⣿⣻⣟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻⡟⣿⣻⣟⢿⣻⣟⡿⣻⣟⣿⢻⣟⣿⡻⣟⣿⣻⢟⣿⣻ ⣿⣳⣟⣾⣳⢯⣟⡷⣯⣟⣷⣻⣞⡿⣞⡷⣿⡽⣾⣽⣻⣞⣷⣻⢷⣻⣞⣯⢷⣯⣟⣷⣻⣞⡿⣞⣷⣻⡽⣾⣽⣻⣞⣷⣻⢾⣽⣻⢷⣯⣟⡾⣽⣳⢯⣟⡷⣯⣟⣾⣽⣻⣞⡿⣾⡽⣷⢯⡿⣽⢾⣽⣳⣟⡷⣯⣟⣾⣽⣻⣞⡿⣞⡷⣯⣟⣷⢯⣟⡷⣯⣟⣾⣳⣟⣾⣳⣟⣾⣳⣟⡾⣯⢷⣯⣟⣷⣻⣞⡿⣞⣷⣻⡽⣾⣽⣻⣞⣷⣻⢷⣻⣞⣯⢷⣯⣟⣷⣻⣞⡿⣞⣷⣻⣽⡾⣽⣻⣞⡷ ⣿⣳⣟⡾⣽⣻⢾⣽⣳⣟⣾⣳⢯⡿⣽⣻⢷⣻⢷⡯⣷⣻⢾⡽⣯⢷⣻⣞⡿⣾⡽⣞⡷⣯⢿⡽⣞⣷⣻⢷⣫⢷⣻⢾⣽⣻⢾⣽⣳⢯⡾⣽⢯⣟⡿⣾⣽⣳⣟⣾⣳⣟⡾⣽⣳⢿⡽⣯⢿⣽⣻⣞⡷⣯⣟⣷⣻⣞⣷⣻⢾⡽⣯⣟⣷⢻⣞⡿⣾⣽⣳⢯⣷⣻⣞⣳⣟⣾⣳⣟⡾⣽⢯⣟⡾⣽⣞⡷⣯⢿⡽⣞⣷⣻⢷⣯⢷⣻⢾⡽⣯⢷⣻⣞⡿⣾⡽⣞⡷⣯⢿⡽⣞⡷⣯⣟⣷⣻⢾⣽ ⣷⣻⢾⣽⣳⢯⣟⣾⣳⣟⡾⣽⢯⣟⡷⣯⢿⡽⣯⣽⣳⢯⡿⣽⢯⣟⡷⣯⣟⣷⣻⣽⣻⡽⣯⢿⡽⡾⣽⢯⣟⣯⢿⡽⣾⣽⣻⢾⡽⣯⣟⣷⣻⢾⣽⣞⣷⣻⣞⣷⣻⣾⣽⣷⣯⣿⣽⣾⣻⣞⣷⣯⣟⣷⣻⣞⣷⣻⣾⡽⣯⣟⣷⣻⣞⣿⡾⣽⣳⢯⣟⡿⣞⡷⣯⣟⣾⣳⣟⣾⡽⣯⣟⣾⣽⣳⢯⡿⣽⢯⡿⣽⢾⣽⣻⣞⣯⣟⣯⢿⡽⣯⢷⣯⣟⣷⣻⣽⣻⡽⣯⢿⣽⣻⢷⣻⢾⣽⣻⣞ ⣯⣟⡿⣾⡽⣯⣿⣾⣽⡾⣿⣽⣻⢾⡽⣯⢿⣽⣳⢯⣟⣯⣿⣽⣻⣾⣽⣷⣻⣾⣷⣯⣷⣿⣽⣯⣿⣽⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣾⣷⣿⣿⣿⣿⣯⣿⣿⣽⣿⣾⣷⣿⣾⣽⣾⣿⣽⣯⣿⣾⣽⣞⣷⣯⢷⣻⣽⣻⢾⡽⣯⣟⡿⣞⣷⣻ ⣟⡾⣽⣳⢿⣵⣻⣞⣯⢿⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⡿⣽⣳⢯⡿⣽⣞⡷ ⣿⡽⣷⢯⣿⣯⢷⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⠻⠟⠿⠿⢿⠿⢿⠿⢿⣿⡿⠿⠻⠿⠿⠿⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⣽⣳⢯⡿ ⡿⣽⢯⡿⣽⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢛⠻⢛⠛⠛⠛⠙⠛⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣄⣀⣀⣤⣿⡿⡟⡭⢯⣙⠻⣍⡳⣜⠭⡳⡜⡼⣿⠿⣿⣿⣶⣄⢂⣌⣰⣈⠱⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢯⡿⣽ ⣿⢯⡿⣽⣳⣿⣿⣿⣿⣿⡿⠟⡛⠋⠉⠉⠁⢁⠂⡄⠠⠘⠤⠁⠀⠂⠐⠄⠂⠈⠐⠃⠈⠙⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣛⣿⡿⢿⢫⡱⡙⠶⣱⢊⠷⣌⠵⣊⠟⣵⣙⠲⡍⡞⣥⠛⣿⣿⣮⣿⣿⣿⣿⣤⣝⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⠿⣿⣿⣯⢿⡽ ⣿⣯⢿⣽⣿⣿⣿⣿⣿⣿⠃⠈⡅⠀⠀⠀⠀⠈⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣟⢫⠖⡱⢆⡣⢖⡹⢎⡣⢵⣩⠗⣬⣙⠲⡜⢮⡱⣋⢖⣩⢳⡹⡜⡶⣋⠶⣩⢏⡻⣛⡝⣻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⢸⣿⣿⣿⢯⣟ ⣿⣯⢿⣿⣿⣿⣿⣿⣿⡟⠀⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⢣⡚⣥⢣⡳⣍⢶⣩⣎⣵⣾⣿⣿⣿⣿⣿⣿⣿⣽⣾⣖⢧⡳⣍⢳⢭⣳⢣⢮⡕⣣⢞⡱⣻⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠸⣿⣿⣿⣟⡾ ⣿⣞⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⢿⣿⠁⠀⠀⠀⠀⢀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⢇⢧⣹⢒⢯⣵⣾⣾⣿⠿⠛⠉⠉⠀⠀⠀⢀⣭⣿⣟⠛⠿⣿⣷⣎⡳⢎⡲⣍⠶⣙⢦⠯⡼⢱⢻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠘⢹⣿⣯⢿ ⣿⣻⣾⣿⣿⣿⣿⣿⡟⠀⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣿⠟⠋⢁⣺⡿⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣽⢋⠞⣤⢋⣾⣿⠟⣁⣬⠦⣤⣀⠀⠀⣠⣾⠟⠉⠀⠀⢀⣤⠀⠙⣿⣿⣥⠳⣎⠟⡭⢊⡕⢪⢅⡛⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿ ⣿⣳⢿⣿⣿⣿⣿⣿⠃⠀⣀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⡈⠄⠂⢈⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⣠⣾⣿⣿⣿⠛⢦⢃⠎⣜⣲⣿⠟⠁⠈⠉⠀⣀⣀⣭⣶⡾⣿⡛⠀⣀⣀⠀⢀⣀⠀⣨⡟⠻⣿⡗⡌⡜⡰⢉⡌⢣⠎⣜⣷⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣽⢻⣿⣿⣿⣿⣿⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠁⠀⠀⠀⠙⠂⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣶⣾⣿⣿⣿⣿⠁⠋⡆⣭⢸⣼⣿⣯⣦⣴⣾⣿⣿⣿⣿⣷⣷⠀⠈⢻⣿⡟⠙⠛⠉⣿⣿⠋⠀⠀⢻⣿⣴⠉⡇⢣⡜⢡⣾⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣯⣟⣿⣿⣿⣿⣿⡿⠤⢶⣴⡶⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣯⣤⣤⣤⣤⣄⣀⡀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣏⢻⡿⢃⡙⣜⡰⣡⣾⣿⣟⠈⠿⢿⡿⠟⠛⠛⢙⣿⠃⠀⠀⠀⠙⠳⠶⣤⠾⠟⠉⠀⠀⠀⠸⣿⣿⣶⡙⣾⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣷⣻⣿⣿⣿⣿⣿⠇⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⢀⠀⠈⡀⢈⠀⠀⠌⠐⢀⡘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣦⡙⢆⢣⠱⡱⣾⣿⡇⠀⠀⠀⠈⠐⠛⠛⠛⠁⣦⣀⣀⣠⡶⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣾⣿⡿⢃⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣿⣻⣿⣿⣿⣿⣿⠀⠀⣽⡇⠀⠀⠀⠀⠀⢀⣾⡟⢀⠠⢀⠈⡐⠄⠂⠌⠐⢨⠀⠂⠐⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⢿⣿⡳⣯⣘⣦⡷⠝⡹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡀⣉⣩⣿⣭⣴⣦⣀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠋⠁⠉⠀⠀⠀⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠃⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⢂⠡⠐⡈⠌⠠⠉⠄⠂⡀⢁⠹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣭⣦⣵⣶⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⢿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⢰⣿⠀⠀⠀⠀⠀⣾⣿⢓⠀⠀⢀⣡⢠⣀⡄⡀⡀⠐⠈⠀⠀⠀⡀⢿⣿⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⢿⣿⣭⣭⣯⣿⡿⢧⣄⡀⠀⠀⠀⠠⠿⢿⣿⣷⣎⣸⣯⣿⡏⠀⠀⣠⣴⣿⢋⣠⣄⢀⢀⣀⣀⣀⡀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⢈⣏⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠈⠙⠋⠙⠙⠛⠛⠛⠛⠛⠓⠒⠂⠘⢿⣷⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠐⠶⠝⠻⠷⣶⣤⣀⠀⠀⠹⣿⣿⣿⠟⢉⣠⣶⣿⠛⠁⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ 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⣷⣿⣿⣿⣿⣿⡇⠌⡀⠎⡐⢈⡐⠂⠄⡡⢈⡐⠈⠄⡁⢂⢁⠂⡐⢁⠐⢀⠢⠐⡈⠄⡀⠠⠀⠹⠿⣷⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⢿⣿⣿⠋⢙⣷⣾⠛⣏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⢀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿ ⣿⢾⣿⣿⣿⣿⣯⠐⡀⢆⠠⣀⠠⢁⠂⢁⠂⠈⠐⢀⠐⠀⠂⠐⠀⠠⠈⠀⠄⠁⡐⠠⠐⠀⠄⡀⢀⠀⡉⣹⣿⡿⠿⠿⢷⣦⠤⠠⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⣄⠠⠴⠾⠛⠛⠉⠀⠈⣿⣇⣠⡿⠙⠿⠿⠏⠀⠀⠀⠀⠀⠀⣠⣾⠿⠁⠀⠀⠀⣀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣯⣿⣿⣿⣿⣿⣿⠀⠈⠉⠉⠁⠉⠑⠊⠀⠉⠒⠁⠂⠚⠠⠣⠘⠤⠡⠆⠥⠎⠴⢤⣴⣤⣧⣆⣐⣤⣦⠷⠟⠉⠀⠀⠀⠀⠔⠎⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⣥⠤⠤⠀⠀⢀⣉⢉⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ ⣟⣾⣿⣿⣿⣿⣿⣆⠀⣀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠓⠈⠉⠛⠙⠛⠛⠛⠓⠿⣿⡀⠀⠀⠀⠀⠀⣀⣴⠾⢻⡿⠆⠦⠀⠀⠀⠀⠀⠙⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⣯⣷⣿⣿⣿⣿⣿⣇⢂⡐⠠⢈⠆⡉⠰⠁⡍⠉⠁⠌⠐⠂⠔⡀⠒⠂⠰⣠⣶⣶⣶⠀⠀⠀⠀⠀⠀⠰⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⡋⠉⠁⠈⠙⢿⡅⠀⣦⣄⣀⡀⠀⠀⠀⠀⢀⣀⣀⣠⣴⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿ ⣿⣞⣿⣿⣿⣿⣿⣿⠄⠢⢁⠘⠢⠈⠅⡂⡔⠠⠁⠠⠈⡐⠠⢐⣤⣵⠧⠉⠀⠈⠹⣷⡀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⡀⠀⠀⠈⠷⣤⣿⣿⡁⠀⠀⠁⠀⠀⠀⠈⠉⠁⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿ ⣷⣻⣞⣿⣿⣿⣿⣿⠎⣅⣂⡄⡁⣈⠐⠀⡐⢀⠢⠁⠐⣠⣵⡾⠛⠁⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣤⣀⠀⠈⠛⠻⠿⠻⢶⣦⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⣯⢷⣯⢿⣿⣿⣿⣿⡇⠘⠛⠿⠿⠿⠿⠿⠾⠷⠶⣿⣿⠿⡿⠶⢤⡀⢄⡀⣀⠀⠀⣀⣸⣿⡄⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡙⠿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡉⠙⠳⣦⣤⣤⣀⡀⢸⣿⠀⠀⠀⠀⠀⠀⢠⣿⣆⣀⡀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿ ⣿⢯⣞⡿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠻⠶⠾⠟⠛⠛⠉⠑⠈⠁⠉⠉⠁⠙⣷⣀⠀⠈⠛⠛⠛⠀⠘⠿⠛⠓⠚⠟⠿⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿ ⣟⡿⣼⣻⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣽⣳⢯⡿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣳⢯ ⣿⢾⡽⣯⢿⡽⣿⣿⣿⣿⡄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣽⣻ ⣿⣯⣟⣯⢿⣽⣻⢿⣿⣿⣷⣴⣶⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣴⣤⣶⣿⣿⣟⣾⣳ ⣿⡾⣽⣯⣟⡾⣽⢯⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣤⣤⣀⣄⣠⣤⣠⣤⣷⡀⢀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣏⠉⠀⢀⣀⣀⣤⣤⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡇⠀⠀⠀⣀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣟⣾⣳⣟ ⣿⣽⣳⣟⣾⡽⣯⣟⣾⣳⣟⡿⣞⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣴⣤⣴⣤⣤⣦⣤⣤⣤⣤⣤⣽⣿⣷⣾⣿⣿⣿⣷⣿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣦⣤⣼⣤⣴⣦⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣽⣷⡿⣿⣻⣞⣷⣻ ⣿⢷⣻⣽⢾⣽⣳⣟⣾⣳⢯⡿⣽⣻⣽⣻⣞⣷⣛⣾⣳⣟⣾⢿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣳⢯⡿⣽⣻⢿⡽⣷⢯⣟⣿⣻⢿⣯⢿⣽⣳⣟⢾⣳⢯ ⣿⣯⢿⣽⣻⣽⣳⣟⣾⣭⣿⣽⣷⣿⣶⣟⣾⣼⣿⣶⣿⣮⣽⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣽⣾⣽⣿⣷⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣽⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣵⣯⣯⣿⣿⣿⣞⣷⣿⣿⣯⣟⣾⣳⢯⡿⣽⣻ ⣿⣞⣯⢷⣻⣞⡷⣯⣿⡿⠛⠛⠛⠛⢿⡟⠛⠛⠛⠙⠻⣿⡟⠛⠻⣿⡿⠛⢻⡿⠋⠛⠛⠋⠛⠛⢿⣿⡿⠛⠉⠛⠻⢿⣿⡟⠋⠛⣿⣿⠛⠛⣿⡏⠛⣿⡿⠟⠛⠙⠛⠻⣿⣿⣿⣿⡟⠛⠻⣿⡿⠛⠛⣿⣿⣿⠟⠋⠻⣿⣿⣿⠛⠛⢻⣿⠟⠛⢻⡿⠟⠛⠋⠛⠛⢿⡿⠛⠛⠙⠛⠻⣿⣿⣷⣻⣿⡟⠛⠛⢿⣿⡟⠛⠛⢿⣿⡿⠟⠛⠙⠛⠿⣿⡿⠛⠛⠻⣿⣿⠟⠛⢻⣿⣷⢯⡿⣽⣳⣟ ⣿⢾⡽⣿⡽⣾⣽⣻⣿⠇⠀⢸⡶⢶⣿⡇⠀⠠⠶⢦⣼⣿⡀⠀⠀⠘⣧⠀⢨⣿⣦⡄⠀⠀⣴⣴⡿⠋⠀⣤⣤⣄⠀⠈⣿⡅⠀⠀⠈⢿⠀⠀⣻⣧⣤⣏⠀⠀⠹⠶⢤⣤⣿⣿⣿⣿⠀⠀⠀⠘⣯⠀⠀⣸⣿⠇⠀⠀⠀⠹⣿⣿⠀⠀⠈⠉⢁⣤⣼⡇⠀⠀⠶⠶⠴⣾⡇⠀⠠⣦⣄⠀⠈⢻⣿⣿⣿⡅⠀⠀⠠⣿⠀⠀⠀⢸⡏⠀⢀⣶⣮⡀⠀⠙⣷⠀⠀⠀⣿⡇⠀⠀⠀⣿⣿⣯⣟⣷⣻⢾ ⣿⢯⣟⣷⣻⢷⣯⢟⣿⠂⠀⢸⣷⣾⣿⡇⠀⠀⣀⣠⣿⣿⠁⠀⣠⡀⠉⠀⢰⣿⣿⡇⠀⠀⣹⣿⣇⠀⠀⢿⣿⣿⠇⠀⣺⡇⠀⢠⡄⠈⠁⠀⣽⣿⣿⣿⣷⣤⣀⠀⠀⠉⢿⣿⣿⣿⠃⠀⢰⡄⠙⠀⠀⣿⡟⠀⠀⠐⠀⠀⢿⣿⠀⠀⠀⠀⠈⠛⣿⣷⠀⠀⣠⣀⣠⣿⡇⠀⠀⣿⡟⠁⠀⢺⣿⣿⣿⡃⠀⢠⡞⠙⢀⡀⠀⢸⡇⠀⠈⣿⣿⠟⠀⠀⣿⠀⠀⡆⠟⠁⣀⠀⠀⣿⣿⣷⣻⢾⡽⣯ ⣿⣻⣞⣷⣻⣟⣾⣻⣿⡀⠀⢸⣿⣿⣿⡇⠀⠈⠛⠛⠛⣿⡆⠀⢹⣷⡀⠀⢸⣿⣿⡇⠀⠀⣼⣿⣿⣄⠀⠀⠛⠁⠀⣠⣿⡇⠀⢸⣷⡄⠀⢀⣾⣿⣿⣯⡀⠀⠙⠋⠀⢀⣾⣿⣿⣿⡄⠀⠀⣿⡀⠀⠀⣿⠁⠀⢠⣤⣄⠀⠀⣿⠀⠀⢸⣿⡀⠀⠘⣿⠀⠀⠘⠋⠉⢻⣧⠀⠀⠛⠃⠀⢠⣿⣿⣿⣿⡇⠀⢸⡇⠀⢸⡇⠀⢸⣧⡀⠀⠈⠙⠀⠀⣰⣿⠀⠀⣿⠀⢸⣟⠀⢈⣿⣿⡷⣯⢿⣽⣳ ⣿⣳⢯⣟⣷⣻⢶⣯⣿⣷⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣷⣴⣿⣿⣷⣤⣾⣿⣿⣷⣶⣶⣿⣿⣿⣿⣷⣾⣶⣴⣾⣿⣿⣷⣴⣾⣿⣿⣴⣾⣿⣿⡿⣿⣿⣶⣶⣦⣶⣿⣿⣿⡿⣿⣷⣦⣾⣿⣿⣶⣾⣿⣶⣴⣿⣿⣿⣷⣶⣿⣧⣴⣿⣿⣿⣶⣾⣿⣷⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣻⣿⣷⣶⣿⣿⣶⣾⣷⣦⣾⣿⣿⣷⣶⣶⣾⣿⣿⣿⣦⣼⣿⣦⣾⣿⣶⣾⣿⡿⣽⢯⣟⡾⣽ ⣿⡽⣯⣟⡾⣽⣻⣞⣷⣻⣿⢿⣿⣯⣟⣿⣻⣿⣿⣿⢿⣿⣿⢿⣿⣻⡽⣟⣿⡿⣽⣻⢿⣯⢿⣽⣻⣞⣿⣻⣟⣿⣻⡽⣯⣟⡿⣟⡿⣟⣿⢻⣟⣳⣟⡷⣯⣟⡿⣽⣻⡽⣯⢷⣻⢷⣻⣟⣯⣟⡿⣿⣿⢯⣿⢿⡿⣟⣿⣿⡿⣿⢿⣿⣿⣟⣿⣻⢯⣟⣿⣻⢿⡽⣯⣟⣿⣻⢯⣟⡿⣽⣻⣞⣧⢷⣯⣟⣿⣿⣿⡿⣯⢿⣽⣻⡟⣾⣻⣽⣻⢟⣿⢫⡿⣿⣻⣿⣿⣿⣿⣿⣿⣽⣻⣭⣟⡾⣽⢯ ⣷⣻⢷⣯⣟⣷⣻⣞⣷⣻⣾⣿⣾⣳⣟⡾⣽⣿⣿⣿⣿⣾⣿⣻⣾⢷⣿⣿⣿⢿⣳⢯⣟⣾⡿⣞⣷⣻⣞⣷⣻⣾⣷⣻⢷⣯⣿⣽⣻⡽⣞⣿⡾⣽⢾⣽⣳⣯⣟⡷⣯⢿⡽⣯⣟⣯⢷⣻⡾⣽⣻⢷⣿⣿⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣷⣯⡿⣞⡷⣯⣿⣽⣳⣟⡾⣽⣻⢾⣽⣳⣟⡾⣽⣻⢾⣽⣻⣿⣷⢿⡿⣿⢾⣳⣟⣷⣻⢾⣽⣻⣞⡿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣾⣳⣟⡾⣽⢯⡿

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

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⁽⁽(੭ꐦ •̀Д•́ )੭*⁾⁾ 😵 🔪
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠟⠛⠛⠉⠉⠙⠛⠛⠿⣿⣷⣼⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡏⠀⠀⠙⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠃⠀⠘⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠹⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⢿⣿⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠻⣿⡎⢿⣷⡀⠀⠀⠀⠀⢀⣼⣿⢿⣿⣿⠀⠀⠀⠀⠀⣿⡿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⣸⣿⣿⣿⡿⠿⠿⣶⣦⣤⣄⣀⠀⢀⣿⣿⠁⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⠈⢻⣷⡄⠀⢀⣠⣾⠿⠋⣼⣿⠇⠀⠀⠀⠀⠀⢿⣷⡄⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣿⣇⢸⣿⠿⠿⢿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣁⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠈⣿⣿⣾⣿⠿⠁⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠸⣿⣧⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠿⣿⣿⣿⡟⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⠈⠉⠉⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⠋⠈⠛⢿⣶⣦⣄⣠⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣆⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⢀⣤⣤⣴⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⣸⣿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⢁⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣄⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⢉⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⠀⠀⠀⠀⣀⣠⣤⣾⡿⠿⠟⠛⡿⠛⠛⠻⠿⢿⣿⣦⣄⡀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣷⡄⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡁⠈⢻⣷⠀⠀⠀⠀⠀⠀⠻⣿⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠛⠻⢿⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠻⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢋⣿⣿⡿⢿⣿⣦⣼⣿⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢃⣾⡿⠟⠛⠛⠉⠙⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠋⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⢁⣴⣾⡿⠋⠀⠀⠙⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠛⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⣾⣿⣿⡟⠁⠀⠀⠀⠀⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠀⠀⠀⢻⣿⣿⣿⡄⠀⠀⠀⣰⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡀⠀⠀⠀⠈⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠋⠀⠀⠀⠀⠀⢻⣿⣿⣿⡆⢀⣾⣿⢻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⡀⠀⠀⠀⠀⢸⣿⡄⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠻⣿⣷⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⠿⠁⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀⠀⠀⠈⣿⣧⢸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢀⣸⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⣤⣤⣤⣤⣤⣾⣿⣿⣿⣷⣤⣄⠀ ⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠁⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠸⣿⣿⣿⣦⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⣿⣿⠀⠀⠉⠻⢿⣿⣶⣿⣯⣽⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⠿⢿⣿⣿⣿⣶⣦⣀⠹⣿⣷ ⠀⠀⢰⣿⡟⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⡄⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣷⡈⠉ ⠀⠀⢸⣿⢣⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣟⣿⣧⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⢀⣴⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀ ⠀⠀⢸⠇⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡾⢿⣷⠀⠀⠀⠀⠀⢻⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣼⣿⡀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣦⣴⣶⣶⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⣦⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠸⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡏⣠⡄ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣄⢈⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠻⠿⠿⠃⠀⠘⢿⣿⣌⠻⢿⣶⣤⣤⣤⣤⣴⣿⠿⠟⣸⣿⠇ ⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣀⠉⠉⠉⠉⠁⢀⣠⣾⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣶⣤⣴⣾⠿⠛⠉⠀⠀⠀ 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👩‍❤️‍💋‍👨(·•᷄‎ࡇ•᷅ )❤️‍🩹👩🏻‍❤️‍💋‍👨🏻🍆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠟⠛⠛⠉⠉⠉⠉⠉⠙⠛⠛⠻⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀ ⠀⠀⠀⠀⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀ ⠀⠀⢀⣠⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀ ⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⠀⢀⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠙⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀ ⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀ ⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⡾⠀⢠⡇⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢸⡇⠀⣼⢱⠂⠀⣸⡿⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠸⡇⠀⢸⡏⠀⠀⢻⣷⣤⣿⠀⠀⠀⢀⣤⣶⣶⣶⡄⠀⠀⣰⡟⠁⠀⠀⠀⠀ ⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠙⠂⠈⠛⠀⠀⠘⣿⣿⠏⠀⠀⠀⣿⣟⡹⣆⠿⣿⣤⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣵⣊⠷⣿⠏⠳⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣮⢽⡿⠀⠀⠈⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠁⠀⠀⠀⠈⣿⡄⠀⠀⠀ ⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠻⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀ ⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠁⠑⠢⠤⣀⣀⣀⣿⠀⠀⠀ ⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠁⠀⠘⣿⠀⠤⣀⣀⠀⠤⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀ ⠀⠀⠀⠀⢸⣧⠉⠒⣤⣤⠀⠀⠀⠀⣤⣤⡔⠒⠉⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣿⣷⡶⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠙⠛⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⡾⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⣀⣤⣶⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⢿⣾⣝⡷⢿⣞⣿⣿⣷⣽⡻⣿⣿⣻⣾⣽⣿⣯⣿⣾⣽⣞⡼⣷⣏⡟⣿⣼⠹⣯⣻⣜⠧⣝⡺⡕⢮⠵⣎⣿⣹⣎⢯⣷⢿⣽⣿⣿⣿⠇⠀⠀⠈⣁⣤⣞⡡⠖⢉⠔⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠃⠈⣿⣜⣣⡝⢮⡞⣧⢻⣬⠳⣭⢛⣮⢓⣧⢻⡜⣧⢻⣼⣿⣾⣿⠿⣜⡳⢧⣛⣶⣿⣿⣛⡮⣗⡯⣗⢯⣏⣷⢻⡼⣿⣹⢷⢯⣟⣷⢿⣽⣾⡿⣟⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⢿⣮⣛⠿⣿⣿⣿⣷⣽⣿⣾⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣞⡵⢫⢿⣼⣧⢻⡝⡮⣕⢯⣣⣿⣿⢏⣷⢻⡞⣼⣿⣿⠿⠋⠁⠀⠀⠀⠀⢡⠎⠁⠔⠊⣁⠤⠊⢡⠆⣠⢀⡴⠀⣤⠀⡀⠀⠀⠀⠀⠀⠈⢆⠸⣗⢮⢞⣣⢟⡼⢳⣬⢛⡼⣋⢶⣋⢶⣋⠾⣥⣿⣿⣿⣿⢫⢟⡼⣹⣳⣿⣿⣛⠶⣝⣞⢧⡟⣾⡹⣞⡾⣏⡿⡵⣯⣟⣾⣻⡾⣟⣯⣷⡿⣟⣯⣷⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⢿⣾⣽⣻⢿⣿⣿⣽⣻⢿⣾⣝⣻⠿⣧⣻⢿⣾⣽⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣯⣿⡿⣯⣛⣼⣿⣿⣷⣝⣳⣾⣾⣿⣿⣛⣎⢞⣯⣿⡾⣋⣡⣤⠆⠀⠀⠀⠀⢀⣈⡤⠴⠚⠁⠀⠀⡠⢃⣴⣵⡟⣠⣾⡇⢰⠃⡇⣰⠀⠀⠀⢄⠈⡄⢿⣎⡳⣝⢮⡝⣣⢞⡹⢶⣹⠲⣝⡲⣭⣳⣿⣿⣿⢏⣧⡛⣮⢷⣿⣿⢻⡼⢭⣛⠾⣜⢯⡞⣵⣻⢵⣛⡾⣵⣻⢧⣟⣾⣳⣿⢻⣽⣾⢿⣟⣿⣽⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣻⡿⣿⣿⣿⣿⣟⣿⣿⣷⣯⣟⣿⢾⣽⣻⡿⣿⣾⣽⣻⠿⣷⣽⡻⢾⣿⣿⣿⣿⣿⣽⣻⣟⣾⣿⣿⡝⡻⣿⣝⣷⡞⣿⣻⣿⣿⣿⣿⣟⣿⠳⡜⣬⢻⢟⡻⣿⣿⡯⠇⠀⠀⢀⣀⣀⣎⡤⣴⠚⠁⢀⣠⣾⣷⣿⣿⣿⣽⢿⣽⢠⡿⣼⢁⡇⡇⡆⢧⠈⡆⢱⢸⣷⢻⡜⣧⣾⣽⣾⣿⣿⣿⣿⣿⣷⣾⣽⢿⣿⢫⣞⡶⣹⣾⡿⣟⢮⡳⣭⢳⣏⡟⣮⡳⣽⢣⡟⣮⢗⣟⡾⣽⣻⡞⣷⡽⣾⣻⣽⣾⢿⣻⣽⣿⡾⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣾⣽⣻⣟⡿⣿⣾⣽⣻⢿⡿⣿⣿⣿⣿⢿⣿⣾⣭⣟⠷⣿⣽⣻⢿⣷⣯⣟⢯⣿⣿⡿⣉⠻⢾⣷⣿⣿⣿⣿⠒⡵⣈⠛⣿⣿⣿⣿⣿⣿⣷⣟⣿⣯⣝⡳⢬⡓⣮⣷⡿⢋⣰⠀⠀⠈⣉⣭⣥⣶⣎⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣯⢿⢃⣾⣱⡏⣼⣼⣇⡇⡟⢃⠘⡌⡎⣿⣣⢻⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣾⣿⣿⣿⣱⢫⢶⡹⢎⡗⣮⡝⡶⣝⢮⡳⡽⣞⣯⢾⡽⣳⢧⣟⣳⡽⡷⢯⣷⣯⢿⣻⣽⣾⢿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣟⣿⣻⢿⣷⣯⣟⣽⣻⢿⡾⣵⣯⣻⠿⣷⣯⣟⣻⠿⣷⣾⣹⡟⣶⣯⣻⣿⣿⣟⡰⢡⢋⡜⢿⣿⣿⣿⢇⠫⡔⣡⢋⡔⢿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣿⣿⠟⣰⣶⣾⣯⣿⡿⣟⣿⣿⣿⣯⣷⠟⢻⡟⢛⣿⣯⢯⣟⣾⣧⣿⣹⣿⣿⣾⣇⡇⠸⡀⢣⠉⢿⣧⣿⣿⣿⡿⣯⢯⣿⣿⣽⡿⣟⡿⣿⣿⣿⣿⣿⢯⣽⣷⢎⡟⣬⢯⡝⢾⡥⣻⣱⣏⣾⣷⣿⡽⣺⡝⣾⣹⡞⣯⣳⡽⣟⣯⣷⢾⣟⣯⣿⣾⢿⣻⣽⣷⡿⣿⢿⣻⣽⣷⡿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣿⣿⣷⣿⣽⣻⣟⡷⣿⣧⣿⣹⡟⣷⢯⣿⣻⢿⡷⣾⣭⣟⡷⣿⣿⢿⡟⢤⡙⡓⢮⡘⠬⣿⣿⣿⡿⣧⡜⢤⠣⡜⢚⣿⣿⣯⢿⣿⣿⣿⣿⣿⣯⢿⣿⣿⢏⡿⢟⣿⣯⢸⣿⣻⡿⣽⣽⢺⣿⣿⡟⠁⠀⡼⠀⢸⠃⢹⣿⣿⣯⣿⣷⣿⣿⣿⣿⣿⣷⠀⢱⡈⠀⣼⣟⠫⡔⣻⣽⣿⣿⣿⣿⣽⣻⣭⠿⣽⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⡮⣝⣷⣿⣿⣿⣟⣯⣟⣿⣷⢧⡻⣵⡳⣟⢯⡷⣻⡽⣧⡿⣟⡾⣯⡷⣿⣻⢯⣟⣾⢿⣻⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⢿⣿⣷⣯⣽⣛⢿⣳⢿⣼⣝⡻⣟⡷⣯⣽⣿⡿⣿⡟⡱⢢⠱⣉⠦⡙⣌⣿⣿⣿⣿⣽⢿⣦⡓⣌⢣⠹⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣜⡣⢿⣇⣤⠙⠻⣟⡷⣞⣟⠾⣿⡅⠀⠀⠀⢀⡏⠀⣾⣿⣿⣿⡿⣿⣿⣿⠛⣿⣿⣿⡆⠀⢱⡀⢻⡿⢣⠜⣹⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣻⡽⢾⣿⣿⣿⣿⣿⣳⣿⣾⣿⣟⣾⣿⣿⡿⣟⡻⣭⢳⡽⣲⢻⣼⢯⣞⢷⣛⣧⣟⢯⣟⣳⣟⡷⣻⣯⣿⡾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣽⣯⣟⡿⣳⢿⣼⣝⣻⣛⡾⢯⣿⣿⣽⠏⡴⢡⣃⠳⢌⢲⣵⡟⣧⠽⡹⢿⣿⣯⣟⣿⣦⣋⡜⡹⣿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡆⠐⣿⡽⢯⣾⠰⡹⣷⣄⡀⢀⣋⣤⠾⣿⣿⣿⡟⣱⠟⣹⠃⣸⢿⣿⣿⡗⠀⠸⡿⢦⣿⣢⡽⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣵⣻⢟⣮⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣟⠷⣽⣶⣽⣾⣷⣾⣷⣿⣼⡷⣚⣯⡽⣞⡞⣯⣞⡷⡿⣞⣿⣽⣾⣿⢿⣿⣻⣯⣿⡷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⢾⣯⣿⣿⣿⣻⣿⢿⣿⣿⣿⣾⣯⣟⣟⣿⢻⣾⣭⣯⣛⡿⣿⣿⣭⡛⡜⠲⡅⢎⣱⣾⡟⣧⣛⣬⢛⣭⡓⣟⣿⣿⣾⣽⣻⣶⣡⡙⣿⣿⣿⣷⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣇⢿⡽⣯⢿⡣⣱⣩⣽⣿⣿⣍⣦⢩⢹⣿⢿⡃⠁⠴⠃⠀⠋⣼⣿⣍⠀⢲⡄⢻⡶⢯⣟⣵⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢻⣞⡿⣿⣿⣽⣿⣿⣿⣼⣿⣿⣿⣽⣾⣿⣾⣧⣟⣿⣿⣹⢶⡻⣞⣽⢯⣾⡽⣟⡿⣯⣟⡷⣯⣟⣾⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣶⣷⣯⣾⣝⣯⡟⡷⡾⢷⣯⣟⣻⣻⠿⡿⣷⣾⣭⣿⣽⣿⣳⠧⣜⣡⠓⡜⣶⣿⢣⡟⡴⡳⣬⢳⢲⡹⣲⡜⡽⣻⣿⣷⣽⣻⣶⣡⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣤⣉⠙⠻⣟⢾⣻⡎⠷⣤⣀⣀⣧⣾⡿⢧⣸⣆⠸⣿⢷⣿⣿⣼⡿⣏⠷⡭⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡿⣚⣿⣿⣳⢿⣿⣿⣿⣯⣷⣿⣿⣿⢿⣛⣟⣻⣛⣟⡧⣟⢾⣹⣛⣮⡟⣾⣹⣏⣷⡿⣾⢿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣮⣷⣯⡽⣏⣿⣻⣿⡿⢿⢿⣿⣟⣿⣿⣿⣷⡳⢮⠷⣽⣿⣻⠛⠶⠶⢤⣻⣾⡟⣬⢳⣝⣳⢳⡥⣏⢧⢳⣱⡚⡵⣣⢛⣿⣷⣿⣞⡿⣶⣢⠙⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣻⣿⣾⡿⣟⣿⣻⣿⣿⣿⣿⣦⣌⡻⢭⣙⣮⢍⡻⣒⣴⣟⣱⢮⡿⣿⣦⣿⣿⣿⣿⢟⡱⣭⣳⡿⣏⡳⣜⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣫⣟⡾⣽⣻⣿⣿⣿⣿⣽⣾⣷⡾⣷⣿⣼⣵⣯⢞⣧⢻⢶⣛⡷⣯⣽⣾⡽⣷⢿⣻⣟⣿⣽⣿⢾⡷⣿⣾⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣾⣷⣾⣽⣽⣭⣟⣻⡟⡿⢿⠿⣿⢿⣾⣗⣛⢿⣿⣿⣿⣯⢧⣍⣣⢋⣾⢿⡱⡝⣎⢷⡸⢎⣗⡳⢮⡝⢮⡱⣝⡲⣍⠷⣪⢝⡿⣿⣿⣿⣿⣧⡱⢦⡙⡻⣿⠿⣿⣿⣿⡇⠀⣾⠿⣿⣧⢿⣿⣽⣿⣶⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢⣵⣿⣟⡾⡽⣯⢷⣻⣾⣛⣧⡿⣙⣎⣷⡿⣏⡳⡵⣙⠶⣭⠳⣭⢻⣿⣿⣿⣿⣿⢿⣻⢿⣳⡿⣿⣿⣿⣾⣷⣏⡿⣿⣿⣽⣿⣿⣾⣿⣿⣿⣽⣯⣿⠾⣜⣯⢯⣟⣽⣳⣟⣾⢻⣟⣿⣫⣿⣽⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣯⣿⣯⣟⣿⣻⢿⣿⣿⣿⣿⣶⣯⣼⣻⣿⣮⣿⣿⣿⢿⣷⣴⢌⣽⡏⡷⣙⠞⡼⢦⡛⡭⢶⡙⣧⢛⡧⣝⠶⣹⢬⢳⡍⠾⣜⠽⣿⣿⣿⣿⣿⣦⡱⠱⣌⠲⡡⢆⣾⠁⡄⣿⡗⢬⠻⣯⣿⣿⣿⣭⣭⣝⣛⠿⣿⣿⣿⣿⣿⣿⣷⣿⡟⣷⣫⣾⣿⡽⡟⣝⢦⣿⢯⡱⣏⣾⣏⢷⢪⣕⡳⣹⢚⣖⣻⣾⢿⣯⣷⣿⣿⣿⣿⣻⣿⣿⣟⣿⡽⣿⣿⣿⣿⣽⢯⣿⣿⣿⣿⣿⣝⡯⣝⣻⠿⣿⢻⡽⣞⣻⢮⡷⣟⡞⣯⣟⣯⣻⣽⣯⣷⣯⣿⢾⡿⣟⣿⣻⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣯⣿⣭⣿⣹⣯⣿⣟⣿⣻⣶⣷⣾⣭⣿⣿⣿⣿⣯⣟⣿⣿⡾⣽⣿⡯⢼⡱⢭⣚⠵⣣⠝⣎⢧⡹⣜⢣⡞⣭⢛⡶⣋⡞⡼⢫⡼⣹⣿⣿⣿⢿⣿⣿⣷⡣⢌⢣⡑⣾⠇⠀⠀⢿⡏⢲⡉⠞⢿⣿⣿⣿⣷⣮⣍⣛⣮⣽⣿⣿⣿⣿⣿⣾⣿⣿⣿⢟⡏⡾⣙⣾⡟⢧⣺⣵⣟⡳⡜⣎⡳⣬⢓⣧⣛⢾⣿⣿⣿⣿⣿⢿⡻⢿⣿⣿⣿⣿⣟⣾⢿⣻⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣽⣳⢻⡭⣏⢷⣫⢗⣯⠾⣝⣻⡽⣞⣽⣳⣟⡾⣷⢿⡾⣿⢿⣻⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣯⣯⣿⣿⣽⣿⣿⣻⣟⣻⣛⠿⣿⣶⣿⣿⣿⣿⣾⣧⣟⣿⣷⢿⣿⣧⣝⣣⢎⡳⢥⡛⡜⢦⡓⣎⢳⡜⣥⠻⡴⣋⢾⡱⣏⢶⣻⣿⣿⢯⣟⣮⡟⣽⡷⡘⢦⣽⠏⠀⠀⠁⠸⣏⠦⡙⡜⢢⡙⢿⣿⣿⣿⣿⠟⣫⢹⣿⣿⠸⣿⣿⣿⡿⢏⣮⢓⡞⣱⡿⣏⢞⣷⡟⢧⡎⣵⡹⢬⣳⣱⢏⡶⣩⠮⡝⣿⡟⢯⢣⢇⡏⢧⣋⠿⣿⣿⣿⣿⣟⣯⣿⣿⣯⢿⣿⣿⡿⢿⢿⢿⣿⣿⣿⣷⣯⡼⣹⢎⡷⣫⣞⣻⣭⢷⣯⡽⣾⣳⢯⡿⣾⣟⣿⣻⣟⣿⣻⣟⣟⣯⣿⣽⣯⣿⣽⣿⣿ ⣿⣿⣿⣿⣻⣟⣟⣿⣛⣟⣻⣿⠟⡿⢿⢿⣿⣿⣿⣾⣿⣿⣿⣾⣽⣷⣒⣒⣣⣍⣻⣿⣜⣧⢹⡙⡶⡹⣌⠳⣜⠲⣭⠳⣍⠶⣙⣎⠷⣿⣿⣿⢫⣞⣶⢻⡽⣗⣩⡾⠃⠀⠀⠁⠀⠐⣿⡬⢱⠌⣧⣜⢒⠲⣌⡜⢢⡙⡤⢻⣿⣿⠀⣿⣿⡏⡽⣚⡴⣋⣾⠿⣱⣾⢟⣣⢞⣣⠞⣥⣏⣷⢫⣵⢮⣱⢣⣛⠼⣑⣎⣷⣭⡞⣜⣣⡝⢮⡕⣫⢟⣿⣿⣿⣿⣿⣿⡿⢯⢳⡹⡭⢞⢮⡹⢿⣿⣿⢯⡳⣭⢻⣜⣧⣛⡶⡽⣞⡶⣟⠷⡯⢟⢷⣛⣾⣹⣏⡿⣽⢯⣟⡻⣏⣿⣹⣭⣯⣝⣷⣯ ⣿⣿⣽⣟⣿⣻⣟⣿⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⠿⣿⢿⣷⣝⡻⣷⣿⠴⡳⣍⠻⣌⠷⣌⡳⢎⡽⡱⢎⡽⣿⢿⣽⣛⣾⣣⣿⣽⡟⠋⠀⠀⠀⠀⠈⢀⠀⢸⣷⣉⠞⡤⢻⣿⣶⣦⣼⣷⢟⡋⣿⣿⣿⡄⢸⣿⣻⣷⡭⣶⢿⢫⣽⡟⡵⣋⠶⣋⢶⣛⠾⣿⡬⢣⣿⡾⠟⠛⣻⣿⢿⣋⡿⠿⢟⡿⣦⡝⡶⣭⢳⢮⡝⣻⢛⡿⢿⡹⣜⣣⠯⣕⢯⡹⢎⡽⣲⢭⣛⢮⡳⣭⢳⠞⡶⣹⢚⡵⣫⡼⣝⠾⣝⢯⢻⡙⢞⡱⣋⣭⣩⣍⣮⣽⣹⣼⣷⣻⣾⣿⣯⣿ ⣟⣯⣛⣟⣻⣛⣿⣹⣿⣛⣿⣛⣹⣿⣻⣟⣿⣿⣻⣿⣿⣿⣟⣿⣿⣟⢯⡜⣫⠖⣭⢛⡻⢟⡿⣻⢏⡵⣎⡝⣎⢳⢎⡵⣋⠶⣙⢎⡖⣿⡬⣙⢻⡙⢏⡹⢼⡇⠀⠀⠀⠀⠂⠐⠀⠀⠀⢿⣧⡚⡔⢣⠹⣿⣿⡿⣩⢆⣹⣿⣿⣿⠆⠈⣷⢯⣿⢻⣝⣾⢟⣣⡝⡞⣭⢳⡝⣎⡞⣽⣿⠿⠟⠻⠷⣷⣌⠱⢢⣾⣿⣇⣀⠀⣱⣜⢿⡵⣋⠞⣦⡙⢦⡛⣜⣣⢳⡜⣲⡝⢮⠶⣙⣏⠶⡹⢲⡙⣎⡱⣥⠳⡞⠵⠓⡋⢓⠡⣉⡌⣱⣈⣦⣣⣽⢮⣷⣻⣾⣽⣯⣿⣽⣻⣿⣽⣿⣻⣟⣿⣿ ⣿⣻⣟⣻⣭⣏⣹⣿⣿⣟⣉⣹⣿⣽⡿⢭⣛⡿⣿⣿⣿⣿⣿⣿⡿⢭⡞⡼⢥⣛⠦⣏⣜⢣⢞⡱⢎⡳⣙⠾⣱⢏⡞⡼⣱⢫⡜⢮⡜⣽⡧⣙⠦⣙⢎⡱⢎⣷⠀⠀⠀⠀⠀⠀⠐⠀⡀⠈⢿⣷⣈⠧⣉⢿⡟⢢⡓⣬⣿⣿⣿⣿⠀⠀⣿⣻⢾⡇⢿⡳⢮⡱⣞⡹⢲⡍⣞⣼⣿⢫⣴⣷⢮⣖⣩⡙⣿⡌⣋⠿⣮⡉⠭⠿⣿⠟⡻⢿⣭⣛⣴⡹⢣⡝⢶⡩⢶⠹⡱⢚⣍⢮⡱⠜⠲⠙⠃⠙⡈⢡⢠⣡⡰⣤⢳⡴⣫⢾⡵⣻⡵⣯⢷⣯⣻⣯⢿⣽⣳⣯⣿⣽⣯⣿⣽⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣯⣿⣽⣯⣿⣭⣽⣮⣽⣯⣿⣧⣦⣤⡴⣤⠬⡍⠛⠻⠖⠳⠧⣚⡝⣚⢬⠳⣚⠬⣏⢮⣱⢋⡶⣩⢞⡱⢎⡽⣱⢋⡶⣹⢦⡝⣾⡗⣿⡘⡥⢎⡴⢻⣿⣆⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⢻⣶⠱⡌⢾⣏⡱⣼⠟⣹⣿⣿⡟⠀⠀⣿⣽⣻⣧⢸⣯⢗⡹⢦⡙⢧⣚⢼⣿⣷⠿⣏⠽⠀⠀⠙⣶⢹⣷⣾⡛⢛⣷⣾⣉⡟⢻⡛⠻⣏⢿⣏⣱⢋⡜⠣⠚⠅⠋⣁⢉⡠⣄⡰⣌⠶⣡⢏⡷⣹⣋⢷⢣⡟⣼⢣⡟⡵⢯⡞⡷⣽⡞⣯⢾⣳⣯⣿⣽⣯⣿⣽⣯⣿⣻⣟⣿⣻⣛⣿⣻⣟ ⣿⣟⣿⣻⣟⣿⣯⣿⣽⣯⣽⣿⣿⣯⣷⠾⡵⢿⠶⣻⢞⡻⣖⢶⡲⣤⠤⣄⣉⡈⡑⠉⠒⠎⠦⢍⣋⢖⠳⢎⡵⣋⢶⣡⢏⠶⡱⢎⡝⣺⣿⣻⢥⠓⣬⢺⣿⣿⣿⣦⡀⠀⠀⠀⠀⠁⠀⠐⠀⠀⠹⣷⡌⣿⣣⡾⠋⢠⣿⣿⣿⠇⠀⠀⣼⣳⢯⣿⣿⡗⣮⡙⢶⣩⠳⣼⣻⡏⣽⡆⠀⢀⣠⣶⣿⣟⣾⠏⣰⣿⣻⡿⣭⣿⣟⠙⣿⢁⡟⣾⣇⡠⢤⣰⢒⠶⣪⢗⡭⣞⡱⣎⠷⣙⢾⡱⣏⠾⣱⡝⣮⢳⡝⣮⢯⡝⢻⠛⠾⠹⠖⡻⣙⠯⣧⢷⣬⣦⣷⣼⣦⣷⣭⣿⣽⣟⣿⣿⣿⣿⣿ ⣿⢿⡿⣟⣟⣯⣝⣭⣩⣍⣭⣍⡞⡴⢫⠽⠹⠞⠻⡱⠞⣵⣋⢮⡵⣣⢟⡼⣡⢯⡹⢭⡳⢖⡲⡤⢤⣈⣉⢌⠒⡉⠆⠳⠪⡝⣱⢫⠼⡥⣿⣾⢎⡹⢄⡫⢿⣾⣿⣿⡹⣦⡄⡀⠁⠀⠠⠀⠀⠄⠀⢈⣿⠟⠉⡀⢠⣿⣿⣿⣿⠀⠀⢀⣿⣽⣿⣿⣿⡹⢦⡝⣣⢎⠷⣻⣟⡔⣿⣷⣴⣿⣿⣾⣛⡾⠏⡰⣏⣁⣽⣀⣾⣿⣿⣿⣿⣼⠃⣽⣷⡹⢣⡞⣭⢳⡓⢮⠵⣊⠷⠩⠞⢩⢒⡙⣌⡙⣤⣩⢤⣣⡜⣤⠶⣜⡧⣟⣻⣛⡿⣛⡿⣻⢟⡾⣷⢿⣾⣽⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⡿⣟⣿⣛⣯⣏⣯⣽⣧⣿⣶⣽⢾⠷⣟⢾⡛⣟⡳⣝⡳⣦⡜⣦⠴⣡⢎⡴⣉⣒⣉⢣⡙⢎⠳⠍⠷⡩⢞⢮⡹⣕⣫⢓⡶⣰⠤⣬⣐⣡⢹⣟⠦⣙⠦⣙⢎⠻⣿⣝⣿⡷⣮⢹⣷⡆⡴⢠⣂⣶⣾⡿⠋⠤⣄⣤⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⡟⡧⡝⢮⡱⣍⢮⠳⣿⡏⣔⠫⣿⢻⡿⡿⠷⠟⢀⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⡏⣟⣁⢻⣿⣡⢣⡜⣤⢲⡜⢦⠶⣱⢎⠷⣫⣓⡏⡾⡜⣽⠲⣝⢮⣇⠿⣜⣻⣜⣳⡽⢶⣯⣝⣯⡽⣏⣿⢻⣽⣻⢾⡷⣯⣿⣽⣯⣟⣿⣻⣿⢿⣿⣿ ⣿⡿⣿⢿⣻⣛⡿⣭⣻⣼⡶⣽⢮⡟⣞⣳⢻⣍⣯⣵⢯⣶⡽⢶⣛⠷⣋⢷⡹⣬⢋⡧⣝⠮⣝⡺⡕⢶⣊⠶⡴⢢⡥⢭⡔⣩⢚⡑⣎⢒⠫⣿⡟⣆⠳⣌⠎⡵⢊⡝⡻⢷⣿⣧⣿⣼⣶⡷⣿⠿⠋⠀⠀⠈⢿⣿⣿⣿⣿⣿⣀⣀⣰⣿⣿⠟⠧⡝⢲⣉⢣⡱⢬⡴⣾⢿⡧⣉⢾⣟⣿⠀⢼⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣾⡘⢿⣷⢫⡜⢶⡓⢾⣙⡞⣱⢎⣟⡱⢮⠵⣳⡹⢖⡻⣜⡳⣎⠿⣜⡳⣞⢧⡻⢷⠾⣼⢧⣿⣽⣛⣿⣳⢿⡿⣾⣷⣿⣾⣽⣿⣻⣿⣿⣿⣿⣿ ⣿⢿⣟⣟⣻⣽⣯⣽⣷⣾⣷⣿⣾⠿⣟⣟⡻⢯⣝⢮⡗⠾⣜⢧⢫⣞⡹⡲⣝⢲⢫⡜⢮⡝⣲⠝⣼⢣⡝⣎⢗⣫⡜⢧⢞⣱⢫⡝⣬⢏⡳⢽⣿⣮⡗⡬⢚⡔⣋⠶⣅⠣⠒⠘⠐⠂⠀⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡏⠉⠉⢹⣿⢿⣿⣩⠳⣍⡳⢬⢇⡳⣧⣾⠋⣸⣷⡡⢿⣿⡜⢷⣾⢿⣿⢿⡻⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠘⣿⠀⣿⣧⡛⣼⢣⢏⡳⣎⠽⣥⡛⢦⣛⡭⡞⡵⣭⣋⠷⣭⢳⣭⢻⡼⣹⢭⡻⣝⡯⢿⢾⡽⣮⣽⣏⣟⣿⣻⢿⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢿⢿⣻⣛⣯⣽⢧⠷⣞⣻⣙⢮⣝⣳⢮⠷⣚⠿⣬⣋⡷⣬⢳⠽⣘⡏⡧⣝⣣⠞⣥⣛⢦⣛⡜⡞⣬⠳⣜⢫⠞⣬⣓⠮⡵⣪⢝⡎⢿⣷⣿⡰⣋⠴⣃⠞⣹⡆⠀⠀⠠⠀⠀⠀⣀⣀⣠⣤⣴⡴⢾⠿⡿⠿⠷⢦⢤⠾⡿⢿⣷⣮⣓⡧⣹⢓⣮⡷⣿⠏⣰⠏⡼⢷⡣⢍⠿⣦⢹⣿⢿⣮⣽⠛⠚⣿⣳⡾⡍⢛⣿⣿⡿⢄⡿⣄⣿⢧⢻⠴⣋⢾⡱⣎⢟⡴⢫⡳⢭⢶⡹⢵⡲⣭⢻⣜⡳⣎⢷⡹⢧⢯⢷⣭⣛⡟⣾⢳⣯⢷⣯⣟⣻⣟⡿⣾⣷⣿⣽⣯⣿⣻⣿⣿⣿⣿⣿ ⣿⣽⢾⣾⢻⡻⣭⣻⣜⣮⡽⠿⣞⢶⣫⣻⣬⢷⢮⠿⣹⢞⣭⡳⡵⣎⢟⡺⣥⢻⡜⢶⣩⠞⣵⣊⠷⣘⢮⡝⣲⢛⡬⢏⣞⡱⢮⣙⠶⣍⠾⣘⠧⡿⣿⣷⣷⡸⣘⣬⣳⣿⣀⣤⡴⢶⡛⢻⣉⠯⡑⢎⠴⣉⢎⡱⢌⢣⡙⣆⣮⡷⢾⠷⡶⠾⠿⣿⣿⠟⣉⠰⣿⠶⡛⢬⡑⢎⡱⢌⢲⡑⢎⡹⣶⡌⢻⣷⣾⣙⣿⣶⣾⣾⣽⠃⢀⣾⡑⣾⡿⣏⢧⣛⢭⡖⡳⡭⢞⡼⣣⢏⢷⡪⣝⢮⢵⡣⣏⢮⡳⣝⢮⣝⡻⣞⠷⣮⣽⣻⡽⣳⢾⣯⣾⣽⣏⣿⣻⢷⣿⣾⣿⣻⣿⡿⣿⣿⣿⣿⣿ ⣷⣿⢾⡾⣟⣻⣽⣭⣿⣶⡿⣿⢻⣏⣟⣱⣯⠾⡽⡞⡽⣎⣧⢗⡳⡝⣮⢳⡭⢶⡹⣣⢞⡹⢦⡝⡺⢭⡖⣭⢣⢏⡞⡭⠲⡍⢧⢋⡞⣡⢏⡥⣋⣖⢻⣿⢿⣿⣿⣿⣿⡿⢋⠵⡘⢆⡙⢦⡘⠴⣉⢎⡒⢥⢊⠴⣉⠦⣙⢫⠱⡘⢆⠳⡜⢣⠓⡜⢣⡜⣌⢣⠛⡥⣙⠰⡘⢦⢸⣎⢦⣹⠶⡡⢿⣿⣄⡙⣉⣡⣤⡿⠿⢶⢶⠶⣛⣥⣾⢿⡱⣎⡳⢎⣳⡚⣵⡹⢭⢶⣙⠮⢧⣝⡺⣜⣣⢟⡼⣣⡟⣼⢳⣎⣷⣹⢻⢶⣭⣏⣿⣻⢿⣾⣷⣯⣟⣿⢿⣿⣷⣿⣾⣿⣽⣿⣿⢿⣿⣿⣿ ⣿⣾⣷⣿⣿⢿⣛⣯⣽⣮⣷⡿⢿⢻⣭⣛⣬⢿⢶⡻⣽⣹⣦⢟⣳⢛⡼⣣⢞⣣⢗⡳⢮⠝⠶⢩⢙⣢⡙⡤⣍⠶⣰⢖⡳⡹⢎⡳⢞⡱⣚⡜⡱⢎⢧⣽⣿⣟⣯⡟⢣⠜⡡⢎⡱⢊⡜⡰⢌⡓⣌⠲⣘⠢⣍⠲⢡⠚⡤⢃⢇⡹⢌⠓⡬⢡⢋⡜⣡⠚⢤⢃⠳⡰⢡⠣⣍⠲⣘⣿⣿⡽⢶⣥⣯⣍⣛⣛⠻⣍⢣⣚⣭⢶⣞⣿⡽⠿⡝⢮⡱⢧⡝⣫⠖⣝⡲⣭⠳⣞⣬⢛⢧⢮⢵⢣⣏⢮⣓⢧⡻⣝⣳⢾⣶⣭⣛⡾⣮⣽⣝⣻⣟⣶⣯⣿⣽⣻⡿⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣿⡿⢿⣛⣯⣽⣶⠿⣟⣻⣭⣿⣾⣿⢾⡻⢭⠳⢮⠙⣎⣙⡲⣡⢋⡬⣔⠶⣒⢮⡳⣋⠷⣢⢏⡵⢮⡹⢱⢎⡵⣙⢮⡱⣋⢖⡣⢞⡹⢮⣿⣿⣟⣾⡟⢌⠣⢎⡱⢊⡔⢣⢌⡱⢊⠴⣨⠑⣆⠳⢄⡋⢦⡙⠴⣉⠦⡘⣌⠳⣌⠣⢎⠴⡡⢋⠦⣉⢖⣡⡧⠓⡤⢓⡌⠳⣄⠳⡌⢦⣩⣿⣿⣿⠿⣭⣿⣞⣿⡟⣯⠝⣎⣳⠲⢦⡜⣤⢩⣁⡛⡌⠳⠜⠫⠖⣎⠯⣞⣚⢮⣓⢮⡳⣝⢮⡳⣝⢮⡳⣭⣛⡿⢿⣷⣿⣾⣽⣻⢾⣷⣯⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⣯⣿⣶⡿⢿⣛⣯⣷⣾⣿⠿⠟⣛⣩⡥⢎⢦⣱⣎⣶⢶⡻⣭⣳⠷⣭⣛⡼⣎⢟⡭⠶⡹⣑⢫⡱⢎⡖⣣⢝⡣⢞⡲⣍⠶⡱⢭⢎⡵⣫⣽⣿⣿⢷⣫⡟⢤⢋⡜⢢⡑⢣⠜⡡⢎⠴⣉⠖⣡⢋⠤⡓⢬⡘⢦⡘⡱⢌⠲⡱⢌⠲⡌⢓⡌⣲⣡⣯⠶⠏⢋⠤⡰⣉⠖⡥⢚⡱⢌⡓⡜⣶⣿⣛⣮⢿⣿⣿⣿⢾⣫⢜⡬⣛⠜⡲⢏⣳⠺⣥⠻⣬⢳⡹⣝⡺⢵⣚⡴⢲⡤⣉⢦⣙⣊⠱⠋⠾⡱⢯⣞⡵⣳⡝⣞⢯⠷⣯⣿⣻⡿⣿⣷⣿⣽⣟⣿⣾⣯⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣯⣷⣷⣿⣿⡿⣟⣯⣵⡶⣾⢻⣝⣧⣿⠿⣟⢯⣽⣬⢷⣻⣝⣮⠷⡫⢝⡸⣌⢮⡴⢫⣕⢫⢧⡙⡞⡼⡱⢎⡵⣋⢶⣩⠞⣭⢳⣎⣳⢳⣿⣿⣯⡟⣽⠘⣆⠣⡜⡡⢎⡱⢊⡕⣊⠦⡑⢎⠴⣉⠶⡛⠶⠷⠶⠷⠷⠾⠷⠷⠾⠗⡚⢛⢋⡉⡡⢄⠲⣌⠣⢎⡱⢌⡚⣴⣣⣼⣶⣷⢿⣟⣶⣿⣿⢏⡯⡹⣌⠳⡜⢮⡱⢭⠞⣵⠺⣤⢛⣌⡛⠴⢫⠵⣎⣳⢋⡶⣹⢣⠷⣹⠮⣝⢯⠿⣿⣖⣳⢶⣮⣭⣳⣭⣍⣋⡛⠶⢭⡻⢽⢷⣯⣿⣻⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣿⣿⡿⣟⣯⣿⢾⣟⣻⣽⣮⣷⡿⣿⣻⣽⣾⢿⣛⣯⣷⣾⢿⣛⣭⢶⢫⣝⣭⠳⣎⠳⣜⢣⡎⡗⢮⡹⣜⡱⡝⣮⣱⢋⡶⢣⡟⡼⢳⡬⢇⣿⡿⣿⡞⣽⣿⠘⡤⢓⠬⡑⠦⣑⢣⢢⠱⣌⠱⣊⠖⡡⢎⡱⣉⢎⢣⣙⡜⣥⣛⣬⢧⡽⡜⢧⠞⠶⡑⢎⡱⢢⡙⢦⣱⣾⢿⣻⡟⣽⣳⢯⢯⣿⣿⡿⣙⠮⣖⠳⣍⣳⣙⠦⡝⢮⡙⢦⣛⢬⡓⢮⡹⣹⢣⢞⡴⣡⢏⡜⡣⢏⡻⣥⣟⡼⣫⣝⠶⣯⣟⡿⣶⣽⣛⡷⣯⣟⣻⢿⣶⣽⣲⡞⣦⣵⣍⣛⠿⣾⣿⣟⡿⣿⣿⣿⣿⣿⣽⣿⣿ ⣿⢾⣟⣻⣝⣮⣷⣿⢿⣻⣭⣷⡿⢟⣛⣭⣶⣿⢿⣻⣽⢾⠻⣭⣳⢾⢻⡱⣎⠳⣍⣳⣎⢷⣼⢟⣣⣷⢻⣱⣛⡴⣣⢟⡼⣣⢏⡝⣣⢞⡱⣾⣿⣽⣟⣳⢿⡜⣰⢉⠖⣩⠒⡥⢂⢇⠣⣌⠓⡤⢋⠴⣃⡶⡵⢞⠳⣋⢜⡡⢍⢆⢣⢒⡩⢆⡙⢎⣱⢮⣴⣳⣞⢯⣛⡾⣭⣷⣿⣧⣿⣿⡿⡟⡽⣸⢭⡳⣎⡟⣜⠦⣝⢺⣙⠶⡹⢦⣙⢦⣋⢧⠳⣥⢫⠞⡼⣱⢮⡹⡵⣋⢶⡳⣭⣛⣧⣏⠟⣮⣝⣻⢾⣝⣻⢿⣾⣽⣻⢷⣾⣝⣻⢿⡿⣾⣽⣻⢿⣷⣾⣻⢿⣿⣾⣽⣟⣿⣿⣿⣿ ⣯⣷⣿⢿⣟⣯⣿⣾⣿⣟⣯⣷⣾⣿⡿⣿⣽⡾⢟⣝⣮⡷⡟⣏⣧⡟⢮⣵⣮⢟⣯⣷⢾⣻⣼⡞⣟⣬⢳⢧⢞⣱⣏⠮⣕⣣⢞⡼⣱⣾⢟⡽⣿⣷⢯⣯⢟⣿⡄⢫⠜⡤⢋⠴⣉⢎⡱⢢⡙⠴⣩⠾⣩⠱⡸⢌⡓⡌⢦⢉⠎⡜⢢⢃⠖⣡⠚⣬⣟⡾⣷⣷⣾⣿⣿⣿⣿⣿⢛⠿⢿⣽⣸⡱⢳⡥⣳⢹⡬⣝⢮⢻⡜⡧⡞⣭⡓⢯⡜⣣⢞⣬⢳⡌⣧⢛⡵⢣⡞⣱⢳⡹⣎⢷⣹⣛⢾⣭⣟⣶⣮⡕⣯⣞⡽⣻⣾⣽⣻⣿⣾⣽⣟⡷⣿⣽⣯⢿⣿⣾⣽⣻⡿⣷⣿⣟⣿⡿⣿⣿⣿ ⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⠿⣟⣯⡷⣟⢯⣵⡾⡟⣏⣧⡷⣟⢯⣵⡾⣟⣭⡾⣟⣽⣾⡟⣯⢶⡹⣞⣜⣫⡾⣟⢳⢬⣻⠶⣍⣾⡾⢻⡜⡮⣕⣮⣿⣿⡞⣯⢾⡽⣦⣝⡰⣉⠖⡡⢎⡔⢣⠜⣡⢃⠳⣄⢣⡑⢎⠴⡑⢪⠜⡘⣌⠣⣎⣼⣲⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⢣⡙⡜⢢⢍⡛⠿⣷⣼⣡⠷⣘⡎⢧⢏⢾⣱⢛⡶⣹⠧⣞⡱⡞⢦⢏⡼⣲⢫⡜⢧⣚⣥⣋⠷⣹⣞⣧⣟⢮⣝⡻⣶⣯⣻⢷⣾⣽⣳⣾⣽⣻⣷⣯⣿⡿⣿⣿⣽⣻⣿⣾⣽⣻⢿⣿⣿⣽⡿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⣻⣽⡾⣿⢻⣹⣼⢟⢯⣣⣷⢟⡯⣳⣽⡞⣯⣧⣷⠿⣭⣷⣿⣛⣶⢻⣜⡷⣻⣼⢞⣯⡵⢮⣽⠾⣭⣿⢻⡱⣭⢳⣙⣶⣟⠳⣮⣿⣿⣭⣷⢫⡷⣏⡿⣽⠾⣽⣞⣾⣷⣿⣶⣻⣶⢮⣦⢽⣬⡖⣭⢦⡽⣞⣾⣽⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢏⠦⡱⢌⠣⢎⡸⠱⡌⣍⠻⢾⣥⡻⡜⣎⡳⣜⢫⡜⣧⢻⡜⣧⢻⢭⡞⣱⢇⣏⠞⣧⣳⢲⣭⢻⣧⣟⣾⣝⡻⣮⡟⡷⣭⣟⡷⣯⣻⢷⣾⣽⣻⣾⣽⣻⣿⣿⣯⣿⣿⣿⣾⣿⣻⣿⣾⣽⣿⢿⣿⣷⣿⣯⣿ ⣿⣿⣿⣿⣿⡿⣿⢻⣭⣷⡿⣻⣝⣾⡾⡟⣏⣮⡷⣟⣻⣶⡿⣟⣽⣾⡿⣟⣷⠿⣹⣮⢿⣹⣾⢟⣵⣟⣳⣼⣟⣷⡟⢯⣜⣣⡝⣲⣽⡟⡵⣪⣿⣿⠻⣜⣿⣿⣿⣿⣿⣾⣷⣿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣌⠲⣑⢪⡑⢎⡔⢣⠜⡤⢋⠦⣉⠟⣿⣶⣝⡬⢧⣙⠶⣙⢮⡵⢫⡞⣭⡳⣏⢮⣛⡶⣝⡷⣮⢻⢮⡽⣶⣛⡷⣧⣛⠿⣭⣛⢿⣽⣻⢿⣿⣿⣿⣿⣾⣿⢿⣯⣿⠿⣿⣿⣿⣿⢿⣿⣾⣯⣿⡿⣷⣿⣟⣿⣿ ⣿⣿⢿⣛⣧⣿⣾⠿⣏⣷⣽⢷⣛⣧⣿⢾⣻⣽⣾⡿⣿⣽⣿⡿⣿⣽⢟⣯⣳⢿⣻⣼⡿⣏⡷⣟⣳⣾⣿⠾⣛⣶⢏⡳⢎⣶⡿⡟⡵⣺⣽⣿⡟⣥⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡰⢌⡱⢌⠲⡘⢦⡘⠥⣚⠰⣉⠖⣡⠚⡤⢊⠽⣻⣷⣭⡞⣭⠲⣭⢳⡹⢶⣹⡹⢾⣟⣿⣭⢷⣟⢿⣭⡟⣶⣛⡿⣭⣟⣿⣝⣻⢷⣭⠿⣿⣿⣿⢿⣾⣽⣿⣿⣧⣼⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣼⣿⢿⡻⣝⣮⣿⣟⣻⣼⣷⣟⣯⣾⣷⣿⣻⣷⣿⣿⢿⣽⢿⣫⣾⡽⣫⣷⣿⢟⣧⡿⣏⣷⣿⣿⢫⣎⣷⠿⣍⠾⣭⣿⠻⣜⣵⣿⣿⡟⣧⢻⡼⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⠴⡑⢎⠴⣉⠖⣩⠒⣌⠓⡤⢓⡌⡚⢤⢋⠴⣉⠖⡡⢆⡝⠿⣶⣻⡴⣋⢾⡱⣎⡽⣿⣬⢳⡻⣷⣯⢿⣞⣻⣷⣛⣷⣭⡟⣶⣻⢿⣾⣽⣻⢷⣯⢿⣿⣭⣟⣿⣾⣿⣿⣿⣾⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣛⣮⣿⢿⣻⣝⣷⣾⢿⣹⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣽⣾⢻⣵⣿⡿⣯⣿⣟⣯⣿⣿⡿⢏⣶⡷⡟⣭⢞⣭⣿⡻⡜⣯⣾⣿⡿⣋⢾⣱⡿⣹⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣎⡲⣉⢎⠲⣡⠚⢤⢋⠴⣉⠖⡡⢎⠱⣊⠜⣢⠑⣎⠱⣊⢌⠳⣌⠛⣿⣿⣜⠿⣾⡲⣍⠿⣷⡻⣧⣟⣿⣞⡷⣯⣿⣾⣽⣻⣧⣟⢿⣞⡿⣿⣯⣟⡿⣾⡽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣟⢯⣯⣷⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⢿⣹⣼⣿⣹⣾⣿⣿⣽⣿⣟⣷⣿⡿⣹⡞⣭⣿⣏⡳⣝⣶⣿⣛⠶⣍⣿⣿⣿⠻⣼⣹⣾⡛⢶⣩⣿⣿⣟⢿⢃⠖⡰⢒⠴⣈⠦⡩⢍⢛⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣹⡽⣶⣎⣱⠢⡙⢦⠩⠖⡬⢎⠵⢪⠵⢌⡚⢤⡙⢤⠓⡌⢎⡱⢢⡙⢤⠚⣻⢿⣼⣿⣼⢻⡼⣻⣧⠿⣮⡟⣷⣯⢷⣿⣻⣷⣯⣿⣿⣞⣿⢯⣿⣿⣿⣯⣿⣷⣯⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⢋⣴⠒⡝⣿⣿⣿⣿⣿⡿⢋⣥⣶⣿⣿⣿⣿⣿⣿⣶⣦⣍⠻⣿⣿⣿⣿⣿⣷⣿ ⢾⣿⣀⣿⡘⢿⣿⡿⠋⠄⠻⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⣿⣿ ⠄⠄⠈⠙⢿⣦⣉⡁⠄⠄⣴⣶⣿⣿⢷⡶⣾⣿⣿⣿⣿⡛⠛⠻⠃⠙⢿⣿⣿⣿ ⠄⠄⠄⠄⠄⠈⠉⣀⣀⣴⡟⢩⠁⠩⣝⢂⢨⣿⣿⣿⣿⢟⡛⣳⣶⣤⡘⠿⢋⣡ ⠄⠄⠄⠄⠄⠄⠘⣿⣿⣿⣿⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣆⣈⣱⣮⣿⣷⡾⠟⠋ ⠄⠄⠄⠄⠄⠄⠄⠈⠿⠛⠛⣻⣿⠉⠛⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠸⣿ ⠄⠄⠄⠄⢀⡠⠄⢒⣤⣟⠿⣿⣿⣿⣷⣤⣤⣀⣀⣉⣉⣠⣽⣿⣟⠻⣿⣿⡆⢻ ⠄⣀⠄⠄⠄⠄⠈⠋⠉⣿⣿⣶⣿⣟⣛⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⡇⣸ ⣿⠃⠄⠄⠄⠄⠄⠄⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⠁⢿ ⡋⠄⠄⠄⠄⠄⠄⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄ ⠋⠄⠄⠄⠄⠄⠄⠄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠠ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⠄⢈ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠛⠛⠿⠿⠿⢿⣿⡿⠟⢋⣴⣿⢿⡋⠄⠄ ⣠⣴⠶⠖⠂⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⣴⣾⣿⡿⢫⠞⠄⠄⠄ ⣿⣿⣿⣿⣾⣆⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⣀⣤⣶⣿⣿⣿⢿⣧⣶⠏⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠈⠑⣄⠀⠀⠀⡰⠋⠀⠙⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠸⣶⣶⣶⡇⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠒⠒⡶⠣⢤⠀⠀⣀⣀⠉⠉⡄⠀⢀⣶⣦⠀⠈⢷⠉⣉⡉⠀ ⠀⠀⠀⠀⠠⠖⣾⡃⠒⠚⠀⠀⠻⠟⠀⠦⠷⠖⠀⠙⠉⠀⠀⠈⣏⠀⠉⠀ ⠀⠀⠀⠀⢀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀ ⠀⠀⠀⢀⣞⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀ ⠀⠀⢠⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⠀⢀⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀ ⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃ ⠀⠹⡄⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀ ⠀⠀⠘⢦⣾⣿⡷⢲⣤⣄⣀⡀⠀⠀⠀⢠⠀⠀⣆⢰⠀⠘⡆⣀⠔⠁⠀⠀ ⠀⠀⠀⠀⠉⠻⠅⣾⣿⡿⢀⣿⣿⣦⣀⣸⡀⠀⣸⠼⣆⢀⡏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠑⠒⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠸⢻⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠏⠦⣀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀⠈⠳⣄⣀⣠⠞⠃⠀⠀⠀⠀⠀⡄⣦⣶⣼⣄⣂⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣆⣿⣾⣿⣿⣷⣶⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢠⢐⣷⣿⣿⣿⣿⣿⣿⣿⣦⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠛⠛⠻⢿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⠿⠋⠀⠀⠀⠉⢻⣿⣿⣆⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⡿⠃⠀⠀⠀⠀⠀⠉⢻⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⢠⠎⠉⠈⠑⠲⠤⣀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠩⠻⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⠀⣴⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡴⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⠈⠀⠄⠂⠀⠀⠀⠀⠀⠀⠈⠨⠻⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣶⣶⣿⣿⣷⣾⣶⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠛⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀⠀⠀⠀⠀⠀⢀⣦⣾⣿⣿⣿⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⢻⣿⣿⡟⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⣄⣀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⣾⣿⡟⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⣾⣿⣿⠇⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡆⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⣸⣿⣿⠁⠀⢁⢀⠀⡀⣀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠁⠙⠿⠛⠀⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣮⣄⣐⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠀⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⣼⣿⡿⠀⠉⠙⠻⢿⣿⣿⣿⡇ ⠀⠀⠀⢠⣿⣿⡇⠀⢠⢼⣿⣿⣿⣿⣿⣿⣿⣶⣦⣥⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠄⠀⠀⠐⠀⠀⠀⣹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡀⠀⣼⣿⣿⡃⠀⠀⠀⠀⠀⣸⣿⣿⠁ ⠀⠀⠀⣼⣿⡟⢀⠀⠀⠘⠟⠛⠙⠙⠛⠛⠛⠻⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣰⣤⣔⡀⠀⠀⠀⠀⠀⠀⢠⣾⣷⡄⠀⠀⠀⠀⠀⠀⢀⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⡟⣛⠙⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠂⠀⠈⠄⠀⠀⠠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣼⣿⣿⣿⣿⣷⣤⣀⠀⣰⣿⣿⠇⠀ ⠀⠀⢰⣿⣿⠇⡀⠄⠀⢀⠀⢀⣀⣤⣠⣤⣴⣄⣴⣿⣿⠇⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⠄⠀⠀⠀⢀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣷⣾⣿⣶⣼⣿⣿⣷⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠉⠉⠉⢳⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡏⠀⠀ ⠀⠀⣼⣿⡿⢸⠅⠀⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡿⠃⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠿⠿⠿⣿⣿⡿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⠁⠙⢿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀ ⠀⢀⣿⣿⡇⠘⠀⠀⠘⠹⠛⠋⠛⠁⠀⠀⠀⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠙⠛⠋⠙⠛⠋⠉⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠙⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⢸⣿⣿⢂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⣼⣿⡟⣀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⡇⠈⠉⠓⠶⣤⣀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⠐⢀⠀⠙⠒⠶⠚⠁⠀⠀⠀⠀⠀⠁⠀⠀⢀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢈⣿⣿⡇⠐⠀⠀⠀⡀⠈⢷⠀⠀⠀⠀⢠⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠳⣤⣀⠀⠀⠀⠀⣼⠆⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠀⠀⠈⠙⠓⠚⠛⠁⠀⢈⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⣠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠜⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⠙⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠈⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠘⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣇⠠⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠃⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠄⠀⠀⣀⡴⠾⠛⠉⠛⣦⠀⠀⠀⠀⠀⠈⠽⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠨⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠋⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢰⡞⠉⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣿⣿⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢀⣠⠔⠋⠁⠀⠀⠀⠀⠀⠄⠁⠀⠀⠀⠛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣶⣾⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢄⡀⠉⠓⠲⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠂⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣢⣿⣿⣿⠿⠋⢉⡙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐⠀⠀⠀⣴⣿⣿⡿⠉⠂⠀⣨⣿⣤⣤⣤⣆⣀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⢀⠀⠀⣴⣿⣿⣿⠛⠙⠉⡙⠁⡄⣄⣀⣤⣾⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⡿⣿⣿⣇⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⡏⠁⠐⠀⣼⣷⣶⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⡀⣀⣤⠞⠋⠉⠛⣦⠀⠀⠈⠀⠀⠁⠻⣿⣿⣷⣶⣿⣿⡿⠃⠀⠀⠀⠀⠈⠈⠉⠉⠉⠉⠉⠙⠙⠋⠛⠛⢻⣿⣿⡆⠀⠀⢠⣿⣿⡟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠖⠲⠦⣄⣀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣿⣿⣯⠉⠀⠀⠂⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢻⣿⣿⣶⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠈⠉⠒⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣿⣿⠃⠅⠀⠀⠀⠀⠀⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣦⠀⠀⠀⣠⡴⠋⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⡏⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣶⠰⠚⠁⠀⠀⠀⠀⠐⠀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠐⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠀⣰⠇⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣦⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠉⠙⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⢠⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⣰⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡄⣠⣧⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⢠⡞⠁⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⢀⣀⣆⣆⣤⣶⣴⣾⣾⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠘⣦⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡤⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣄⣦⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠐⣠⠞⠁⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣰⣼⣿⣿⣿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠠⣄⣾⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⠟⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣧⣄⠀⡀⠀⠀⠀⠀⠀⠀⠘⠧⣀⣀⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢿⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣦⣄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⣀⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠠⣢⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣷⣶⣦⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⢀⠀⠀⠀⣀⣤⣷⣿⣿⡿⠋⢀⣀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣷⣾⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠉⢦⣀⣀⣀⠞⠁⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠃⠛⠙⠀⠀⠀⠀⠘⣄⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣉⣩⣟⡒⠀⠀⡶⠀⢦⣶⡔⠀⠶⠆⠀⢻⠽⣦⠤⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡖⠒⠒⢲⡄ ⠀⠀⠀⣀⠼⠤⠖⠒⠦⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣸⢀⡏⠉⠉⠀ ⢀⡴⠋⠀⢰⣲⡄⠀⠀⠀⠀⢹⣄⡔⠲⡴⠢⣀⣄⣞⠉⠀⠀⣏⣸⠓⠲⢤⡀ ⡎⠀⢠⠤⡀⠀⠀⠘⠿⠃⠀⢡⠀⡇⠀⡇⠀⡇⢸⣄⠙⡖⠤⢌⣁⣀⣀⡠⣽ ⡇⠀⠈⠉⠁⠀⠀⠀⢀⣠⢴⣻⣀⣱⣀⣇⣀⣧⣸⣻⡙⠓⠦⠾⠤⣀⡧⢤⠏ ⢹⠖⠦⠤⠔⢒⣒⣉⣁⠜⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠒⠤⠤⢄⣀⣠⠏⠀ ⠈⠒⣯⣙⣒⣋⣠⠤⠔⠒⢹⡒⠒⠒⠒⠒⠒⠒⠒⢺⣀⡀⠀⠀⠀⢀⡞⠀⠀ ⠀⠀⠳⠤⣀⣀⡠⠤⠤⠒⠊⢇⣀⣀⣀⣀⣀⣀⢀⡎⢆⠈⠉⠉⠉⡽⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⣰⠁⠀⠉⠒⠒⠊⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠢⡄⠀⠀⠀⢀⣠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⣹⣀⣀⡰⠋⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠤⠤⣄⣀⠎⠀⠀⠀⠀⠛⠛⠋⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⡞⠀⣾⡶⣦⣴⣠⠄⢰⣶⡆⠀⠐⠚⠉⢫⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⡸⠁⠀⠀⠀⠘⠒⠃⠀⠀⠀⠀⠀⠈⠉⠉⠉⢻⠒⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⠀⣶⣿⣓⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠀⠀⠐⢉⣿⡾⠋⠀⠀⠀⠀⡞⠑⢦⠀⠀⠀⠀⣾⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣷⡚⠉⠉⠉⠉⠉⠉⠉⠙⣲⣄⠘⠲⠂⠀⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⢸⡦⠬⣍⣉⣉⣉⣉⣉⣉⣉⡤⢎⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⠀⠀⠀⠀ ⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀ ⠀⠀⠀⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⡇⠀⠀⠀⠀⠀⠀⠀⠈⠻⡇⠀⠀⠀ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⢻⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⡀⠀ ⣾⠛⠒⠾⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⣼⣥⣶⡙⢿⣷ ⠘⢦⣀⣀⠀⠉⠲⣄⠀⠀⠀⠀⠀⢀⡰⢃⣠⢄⠀⠀⠀⣀⣤⣎⣀⠿⠿⠓⠊⠁ ⠀⠀⠻⠤⠷⢄⣀⣈⡏⠒⠒⠒⠚⠛⠒⠚⠲⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⣤⣾⡏⠀⠉⢢⣤⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠈⠿⠛⠃⢠⠀⠙⠚⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠴⣾⠀⠰⠆⠚⠂⠀⣀⡀⠀⠀⠸⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⠀⠀⠀⠀⢀⣔⢵⡃⠀⠀⠀⠀⢾⣆⠀⠀⠀⠀⠀ ⠀⣖⣖⣖⣶⣞⣶⠀⠀⢸⠀⠀⣀⡠⢫⠞⠉⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⣠⣤ ⢠⠀⠀⠀⠀⠀⠀⡆⠀⢸⡀⢈⢖⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⣴⣉⡟ ⢸⠀⢠⡖⢂⡭⠭⠭⠝⢛⣻⣣⡮⠭⢍⢒⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⠏⠀ ⢸⠀⠨⣯⣍⣁⣒⣒⠒⠒⣒⣒⣋⣉⣩⣥⡇⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀ ⢸⣀⣀⢳⠀⠈⠉⠉⠉⠉⠉⠉⠉⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀ ⠈⣧⡴⢿⡳⣀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠗⠒⠒⠒⠒⠒⠧⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢺⢈⡏⠑⠒⠂⠀⠐⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡞⠉⠛⢦⡀⠀⠀⢀⣼⠃⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠙⣶⠻⣏⠿⠄⠀⠀⠀⠀⠀⠹⣦⠴⠚⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠈⠁⠀⢀⢀⡄⢠⣦⡄⠀⠀⠘⣷⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⢶⡿⠶⠶⠆⠀⠀⢰⣦⠈⣹⡾⠾⠓⠀⠉⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠠⣾⠓⠚⠛⠁⠀⠀⠀⠉⠀⠁⠀⣸⠛⢶⣄⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀ ⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠈⠳⣄⣄⡀⠀⠀⠈⢧⠀⠀⠀⠀ ⠀⣸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣇⠀⠀⠀⠀⠯⣤⡍⠀⠀⠀⠈⣇⠀⠀⠀ ⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣁⡼⠀⠀⠀⠀⠀⣀⣹⣦⣄⠀⠀⠘⣆⠀⠀ ⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣀⣠⡤⠶⠚⠉⠉⣀⣠⠟⠀⠀⠀⢹⡄⠀ ⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠉⣀⣠⡤⠶⠚⠋⠁⠀⠀⠀⠀⠀⠀⣧⠀ ⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄ ⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⣸ ⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁ ⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣳⠀⠀⢀⣠⠴⠛⠁⠀⠀ ⠀⠀⠀⠙⢦⣄⢠⣿⣿⡶⠶⣤⣤⡤⠤⣤⣤⣄⣉⣰⣧⠴⠚⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠻⠿⣥⣼⣿⣿⣇⣀⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠲⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠖⠓⢆⠀⡞⠀⢠⣞⣙⡄⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠏⠀⠀⠈⣿⢷⠦⢄⡈⣉⣀⣀⣠⢿⣿⣿⠹⣿⣶⠶⠤⣀⠀⠀⠀⠀ ⢠⣤⣄⡞⠀⠀⠀⠀⠀⠈⠓⠦⠭⣥⡤⢽⣋⣤⡌⠀⠀⠉⠉⠀⠀⠈⠓⣄⠀⠀ ⠠⠖⢲⠁⠀⠘⠟⠀⠶⠧⠀⠐⠚⠂⠀⠸⠶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀ ⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⢰⡇⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠈⡇⠀⠀⠀⠀⢰⠋⠁⢀⣀⡀⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠀⢳⡀⢀⣠⠴⣿⣄⣀⠈⠉⠁⠀⣠⡧⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡼⠀ ⠀⠀⠀⠑⡎⠀⠀⣼⣦⣈⣙⠒⣋⣩⣿⡄⠀⠹⡄⠀⢀⣠⡤⠴⣶⣏⢈⡟⠁⠀ ⠀⠀⠀⠀⣗⠦⣄⠀⠀⣀⠉⣩⣏⠀⣀⣠⡤⢴⡷⠖⠿⠿⠧⠤⠟⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⠤⣭⣍⣭⠭⠻⠬⢭⣥⡤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠉⠛⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠉⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠻⣷⣄⣀⣀⣀⣀⣀⣰⡿⠋⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠨⣿⡟⢻⣿⠛⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠈⠛⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⣤⣤⣠⣾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⣿⣶⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠟⠻⠿⠗⠀⠀⠀⢰⣾⣷⠆⠀⠰⣶⣀⣿⣄⣼⡆⠀⠀⣾⣿⣷⠀⠀⠀⠀⣻⣅⣈⣿⣦⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⢶⣾⠿⠶⠶⠶⠀⠀⠀⠀⠘⠛⠛⠀⠀⠀⠙⣿⣭⣿⠋⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠘⠛⠛⠋⢿⣏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⣠⣤⣤⣤⣤⣤⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠉⣻⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⢰⡟⠛⠛⠛⠛⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⠶⠞⠛⠛⠛⠛⠛⠛⠶⢶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠟⠛⠛⠛⠛⢿⡟⠀⢸⣿⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⢰⣿⠿⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⣀⢠⡾⠛⢿⣦⣴⡿⠿⢶⡄⢀⣀⡀⣼⣟⠁⠀⠀⠀⠀⠀⠀⣿⠇⠀⣿⠏⠉⠛⠿⢶⣤⣀⠀⠀ ⠀⡀⣴⡟⠁⠀⠀⠀⠀⠀⠈⠛⠿⠿⠛⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⢰⡿⠛⠛⢿⡇⠀⠀⢿⡏⠀⠀⢸⣿⠛⠙⢿⣿⠻⣷⣄⡀⠀⠀⠀⠀⠻⢷⣾⠟⠀⠀⠀⠀⠀⠈⠻⣷⡄ ⠀⣸⡏⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣤⣽⡇⠀⠀⠀⢸⣇⠀⠀⢸⡇⠀⠀⢸⡇⠀⠀⠸⣿⠀⠀⢸⣿⠀⠀⠉⢻⡷⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿ ⢰⣿⠀⠀⠀⠀⢸⣿⣙⣻⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠈⣿⠀⠀⠘⣗⠀⠀⠀⣿⠀⠀⢸⠿⣷⣤⡀⣸⠇⠀⠉⠙⠛⣿⠶⠶⢶⣶⣶⣶⠶⠟⠛⢻⡟ ⢸⣿⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⣿⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠐⣿⠀⠀⣾⠀⣿⠉⠛⠿⣶⣦⣤⣀⣸⡿⠀⠀⠀⠀⢸⡿⠀⠀⢀⣿⠃ ⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠿⢛⣡⣤⣿⣶⣶⣶⣿⣶⣶⠶⠿⠶⠶⠶⠿⠶⠶⠿⢶⣿⣧⡀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠷⠶⠾⠷⠿⢿⡟⠁⠀ ⠈⠘⠿⣦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⡶⠿⠛⠛⠁⢠⡾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀ ⠀⠀⣴⡟⠉⠙⠛⠛⠛⠛⠛⠉⠉⢉⣭⣤⣤⣄⣀⣀⣴⠟⠁⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠉⠛⠛⠳⠶⠶⢦⣤⣤⣤⣤⣴⣿⠏⠀⠀⠀ ⠀⠀⢿⣦⣀⣤⡾⠛⢷⣦⣤⣤⣴⡿⠋⠀⠈⠉⠉⠉⢁⣠⣤⣾⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⢹⣷⣄⣀⣀⣉⣉⣁⣀⣀⣠⣤⣶⠶⠿⠛⠉⠁⠀⣿⡉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢺⣇⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠛⠻⠷⠶⣶⣦⣤⣤⣤⣤⣴⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣷⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⡶⠿⠛⠋⠉⢿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣰⡏⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⢸⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⣿⠃⠀⠻⢷⣤⣄⡀⠀⠀⠀⢀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⠀⠀⠪⠃⠀⠀⢤⡔⠉⣦⣀⡀⢀⢀⠀⠀⠀⠀ ⠰⣘⢠⠂⠀⡄⠂⠐⡬⠋⠁⠶⢍⡈⢹⡁⠸⡀⠀⠈⠷ ⠀⠀⠀⠀⠈⠰⢴⡽⡁⠀⣤⡄⢈⡉⠘⠃⠀⠏⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⡬⡀⠀⠰⣋⠙⠖⠂⢻⠇⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⠁⠀⠀⠀⠀⠉⠀⠂⠀⠀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀ ⠀⠀⠀⠈⠉⠉⠙⠁⠀⠀⠀⠈⠉⠀⠀⠀⠉⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠙⠳⣦⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⠁⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⢸⡷⣶⡶⣶⡶⢿⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠸⢾⠟⢷⠟⠷⠾⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠒⠒⠒⠲⣶⠯⣤⡄⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⢨⡀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣠⣼⣷⠴⠶⠶⠶⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⣰⣏⣀⣀⠀⠀⠀⢰⡟⠉⣻⠀⠸⣦⣀⣾⣆⣰⠆⠀⣿⠉⢙⣇⠀⠀⠀⢺⣤⣼⣧⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⢡⡟⠈⠉⠉⠀⠀⠀⠈⠛⠚⠋⠀⠀⠘⢿⣁⣹⠇⠀⠀⣙⣿⣿⣥⣤⣤⠴⠾⠾⠚⠛⠓⢾⡉⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠤⠤⠤⠴⠾⠟⠛⠚⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⣀⣀⣀⠀⢈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣴⡾⠉⠈⠙⢿⡉⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣤⣀⣴⠶⠶⢶⡲⢦⣄⣀⣀⣀⣠⣤⡤⠤⠤⠴⠶⠖⠒⠚⠛⠛⠉⠉⢉⡟⠀⣧⡀⠀⠀⣸⡇⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠃⠁⢸⠁⠀⠀⠈⣷⠀⠹⡍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠘⠛⠶⠚⢋⡟⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⢸⣷⣤⣤⡾⠃⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣀⣀⣴⠟⠁⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⣼⠃⠀⠀⠀⠻⣦⣀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀ ⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀ ⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⡴⠶⠶⣿⠀⠀⠀ ⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⠤⠴⠶⠖⠚⠛⠛⠉⠉⠁⠀⠀⠀⢀⣼⠏⠀⠀⠀ ⠀⠀⢻⣆⠀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⠤⠴⠶⠶⠖⠒⠚⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⡟⠁⠀⠀⠀⠀ ⠀⠀⠈⢻⣏⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣴⠶⠶⠞⠛⠉⠉⢀⣴⢋⡿⠷⣤⡀⠀⠀ ⠀⠀⠀⠀⠹⢦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⠶⢦⣤⠴⠶⠶⠖⠒⠚⠛⢙⣏⠀⠀⠀⠙⠂⠀⠀⠀⣠⡶⠛⣱⢋⡴⠟⠉⠻⣆⠀ ⠀⠀⠀⠀⠀⠀⠙⢯⣉⠉⠉⠉⠉⠁⠀⣴⠟⠁⠀⠀⣹⠆⠀⠀⠀⠀⠀⠀⠀⠻⢦⣄⣀⣠⣤⡴⠶⠛⠛⠛⠛⠛⢿⡤⠶⠖⠒⢿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢦⣤⣀⣀⣀⣀⣀⣠⣴⣏⣀⣠⣤⣤⠴⠶⠶⠞⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠙⠛⠶⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⡀⢀⣴⠟⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠃⠒⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⢘⣷⡀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣴⣏⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠛⢋⠉⠁⠀⠀⢀⣠⣀⠀⠀⠈⠹⣦⡤⠶⠚⠛⠳⠶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣼⠏⠉⠙⢳⠀⠀⠀⢠⣶⣶⣤⠀⠀⠀⣺⡇⠀⠀⠠⣿⣿⣿⡧⠀⠀⠀⠹⣆⣀⣤⣤⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡶⠶⣾⡛⠉⠛⠛⠾⠀⠀⠀⠘⢿⣿⠇⠀⠰⣦⡿⣧⣴⠆⠀⠙⠛⠋⠀⠀⠀⠀⠀⠻⣅⠀⠀⠀⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀ ⠀⠀⢠⡟⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀ ⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟ ⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇ ⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀ ⠀⠹⣯⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀ ⠀⠀⠘⢷⡀⠀⠀⣻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠈⠻⣄⢰⣿⣿⣿⣿⠷⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢰⡄⠀⢸⠆⠀⠘⣷⠀⠀⣀⣴⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠏⠀⣾⣿⣿⣿⡟⠓⣶⣶⣤⣄⠀⠀⠀⢸⡇⠀⠀⠀⢷⠀⢸⡄⠀⠀⢸⡧⠞⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠦⣼⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣧⣤⣤⣼⣇⠀⠀⠀⣸⠷⠛⣧⡀⣀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠛⠋⠉⠉⠀⠀⠀⠀⠛⠦⣤⠾⠋⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠉⠉⠉⠉⠉⠉⠁⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠲⡀⡴⠋⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⢀⣀⣀⡞⠙⢾⠀⠀⢹⠃⠀⠀⢸⡠⠚⠛⡄⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⠙⣦⣤⣤⠞⠀⠈⢧⣀⣼⢤⣤⣼⣦⣤⣀⣾⠀⠀⢰⣧⠤⡄ ⢠⣄⣀⡼⠁⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠘⢿⣿⠟⠲⣏⠀⢀⠇ ⠰⠶⢾⠁⠀⠀⠿⠂⢠⢷⠀⠰⠆⠀⠀⠭⠭⣭⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡋⠀ ⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⡀⢀⣠⣄⠀⠀⢀⡞⠀ ⠀⠀⠀⠑⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⣸⣴⡛⠉⢿⣿⣦⣠⠞⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠒⠒⠒⠒⠒⠒⣺⡗⠋⠹⣿⣷⣀⣠⠽⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢖⢺⠋⠛⢥⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🌫️🌫️⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🌫️🌫️⬛⬜⬜⬜ ⬜⬜⬜⬛🌫️🌫️⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🌫️🌫️⬛⬜⬜⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️⬛⬛⬛⬛⬛⬛⬛⬛⬛🌫️🌫️🌫️🌫️⬛⬜⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🏽🏽🌫️🏽🏽🏽🌫️🏽🏽🌫️🌫️🌫️🌫️⬛⬜⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🏽🏽🌫️🏽🏽🏽🌫️🏽🏽🌫️🌫️🌫️🌫️⬛⬜⬜ ⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜ ⬜⬛🌫️⬛🌫️🌫️⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛🌫️🌫️⬛🌫️⬛⬜ ⬜⬛🌫️🌫️⬛🌫️⬛⬛🌫️🌫️🌫️⬛🌫️🌫️🌫️⬛⬛🌫️⬛🌫️🌫️⬛⬜ ⬛🌫️🌫️⬛🌫️🟪🟪🌫️🌫️🌫️⬛⬛⬛🌫️🌫️🌫️🌫️🟪🟪⬛🌫️🌫️⬛ ⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛ ⬛🏽🏽🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🏽🏽⬛ ⬛🏽🏽🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🏽🏽⬛ ⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡿⠿⡖⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⣀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢃⡀⣹⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⡞⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⡘⠋⡁⢀⠉⡄⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢻⡦⢤⠤⢤⢤⣤⣴⠟⠁⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⠶⠖⠲⠾⠵⠶⠾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣟⣀⣀⣀⣀⣀⣀⣀⣃⣈⣒⣲⣿⣄⣃⣀⣀⡀⠀⠀⠀⠘⣿⡛⠛⠻⠶⠶⢶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣶⣤⣀⣿⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡉⠛⢻⠒⢿⣧⠀⠘⠂⠀⠀⠳⡈⠉⡟⢻⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠳⣦⠀ ⠀⠀⠈⣹⠟⢯⠀⠀⠀⢰⣿⡿⠂⠀⢄⣼⣣⣀⠀⠀⣾⣿⡆⠀⠀⡞⣬⣴⣿⡿⠟⠛⠃⠀⣆⠱⠀⢳⠘⡇⠈⠙⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣀⣸⡇ ⣀⣀⣤⣿⣤⣬⣧⣀⠀⠀⣉⠀⣀⡴⠻⠥⠽⠹⣄⠀⠉⠉⠀⠀⣰⣷⠃⢀⡿⠃⠀⠀⠀⠀⠸⡄⠀⢸⠀⣇⣀⡤⠚⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⣿ ⠉⠁⢸⣧⡀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠙⠒⠲⠶⠒⠛⠁⣸⣿⠛⠛⠻⠿⠇⠀⠀⡇⠀⢸⠀⡇⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⢀⡿⠉⠑⠲⡿ ⠀⠀⣾⠘⡟⢶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⢁⡟⠀⠀⠀⢰⠄⠀⠀⠣⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⢀⡾⠣⢄⡀⣸⠇ ⠀⠀⣿⠀⠹⡌⠳⢌⡙⠓⠶⠤⠤⣀⣦⢀⣀⡤⠤⠴⠒⣻⠽⠋⠁⣠⠋⢀⡤⠀⠀⢸⠀⠘⡀⠀⠀⡞⢸⠇⠀⠀⠀⠀⠀⠀⠀⠸⣧⣤⢶⠋⠳⣤⣀⣽⠋⠀ ⠀⠀⣿⠀⢣⠘⣆⠀⠙⠲⣄⠀⠠⣿⣿⡟⠀⠀⣠⠖⠋⠁⠀⡠⠞⠁⣠⠊⠀⠀⠀⡏⠀⠀⡇⠀⢀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⢧⢀⣰⠟⠁⠀⠀ ⠀⠀⢻⡆⠀⠀⠈⠳⣀⠀⠀⠉⠲⡌⣁⡤⠖⠋⠀⠀⣠⠴⠋⠀⢠⠞⠁⠀⠀⠀⠼⠁⠀⠀⡇⠀⣸⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣤⠤⠞⠋⠀⠀⠀⠀⠀ ⠀⠀⠘⣷⡀⢀⣀⣀⣈⡳⣄⠀⢰⣿⢿⡇⢀⡠⢖⢫⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢀⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⠘⠳⠤⠬⠏⠈⢓⠿⠹⣟⡻⡫⠤⢼⠻⠓⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⡼⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠈⠓⠀⣿⡟⢱⡐⠚⠈⢩⠇⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠰⠃⣰⠃⡾⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣄⢀⣀⡀⠀⠀⠀⢹⣳⠀⠙⠢⠴⠋⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢰⠃⡼⠁⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣷⠚⠛⠛⣿⡖⠒⠓⠒⠒⠒⢶⣾⣭⣭⣖⣒⣲⡿⠶⠶⣶⣶⣶⣶⣧⣼⣧⣤⣶⡀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣴⠞⠋⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⡀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⣀⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠲⣼⣇⠀⠀⠀⢠⡷⠖⠲⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠈⢹⡖⢶⡶⡿⠁⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⣾⣤⡀⠀⣀⡀⠁⠀⠀⠀⠀⣀⠀⢀⣽⡶⠖⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⠛⠒⠀⠀⠉⠁⠸⠾⠿⠃⠈⠉⠀⠰⠖⢿⠒⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⣠⣀⣤⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡃⠀⠀⠠⣿⣷⠒⠒⠒⠒⠒⠒⠒⠾⣷⠖⠀⠀⢹⡄⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠛⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠀⠀⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⢸⣅⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⢷⣿⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⡇ ⢠⠤⢤⣀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇ ⠘⣆⠀⠉⠓⠦⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠈⠓⠦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⠛⠉⠉⠉⠉⠉⠉⠁⠀⠓⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⣀⣀⠈⠉⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠛⠻⣆⠀⠀⣾⠁⠀⠀⢰⡟⠋⠙⣷⡀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠙⣷⣤⣿⣀⠀⠀⠘⠛⠛⠟⠛⠁⠀⠀⠀⣿⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠸⣿⢻⡏⠛⠻⣦⣀⢀⣠⣤⣄⣀⣀⣠⡟⢻⣿⣿⣿⠇⢸⣿⣿⣿⡟⠙⠻⢶⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣤⣈⡉⠉⠉⠀⠈⣉⣽⠟⠁⠀⠈⠉⠀⠀⠀⠉⠛⠋⠀⠀⠀⠀⠈⠻⢦⡀⠀⠀⠀⠀ ⠘⠛⠛⠛⢳⡟⠀⠀⠀⢠⣤⡀⠀⠀⢀⡄⠀⠀⠈⠉⢉⣛⠛⠛⠋⢹⡷⠖⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀ ⠠⠶⠶⠛⣿⠇⠀⠀⠀⠹⠿⠃⠀⠰⣾⢿⡶⠀⠀⠛⠛⠛⠀⠀⠀⠸⠷⠶⠶⠶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀ ⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀ ⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀ ⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠋⠉⠉⠉⠙⠛⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⣠⣤⣤⡀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⣀⣤⣿⡄⠀⠀⠀⠘⠛⠛⠁⠀⠀⠀⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⢰⠇⠀ ⠀⠀⠀⠀⠹⣦⠀⣠⡶⠛⠉⠉⢿⡟⠷⠶⣤⣀⠀⠀⣀⣠⣤⣴⣿⠏⠛⠻⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⢿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⡟⠀⠀⠀⢠⣾⣿⣦⣀⠈⠙⠛⠛⠋⠉⣀⣼⣿⣤⠀⠀⠀⢻⡆⠀⠀⠀⢀⣀⣤⣤⣴⢶⣿⣿⣅⠀⢀⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠀⠀⠉⠛⠉⠙⠛⠻⠶⢶⡿⠛⠛⠛⠛⠁⠀⠀⠀⣠⣧⣀⣀⣰⣿⣿⣿⡇⠀⠀⣿⣿⣿⡶⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⡙⠻⢶⣄⡀⠀⢀⣀⣀⠀⣀⣼⣧⣀⠀⣀⣤⣤⣶⠶⠾⣻⡟⠋⠋⠙⠻⠿⠿⠿⠾⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣀⡉⠛⠛⠋⠉⠉⣉⣿⣿⣈⣙⠛⠋⠁⠀⢀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠉⠁⠀⠉⠉⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣬⣽⠇⠀⠀⠀⠀⢠⣆⣀⣰⠞⠁⠀⠘⣧⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣨⣿⣷⡄⠀⠀⠸⣿⡿⣿⣲⢦⣄⣠⠶⠚⢻⡀⠀⠀⠀⠀⢀⣀⡀⠀⠀ ⣞⠋⠙⠀⣀⡇⠀⠀⠀⠀⣠⠴⠋⠉⠛⣦⠀⡴⠏⠉⠋⠁⢰⣷⣦⠄⠀⠈⠉⠸⢾⠋⠀⠀⢨⣇⠀⠀⠀⠀⠸⣅⣻⣿⡆ ⠈⠓⠦⠤⠟⠀⠀⠀⢀⡾⠁⢀⠀⢀⠀⢨⡿⠁⠀⠀⠀⠀⠈⠛⠃⢠⣤⣦⠀⢠⣼⣶⠀⠀⠘⣿⣄⡀⠀⠀⠀⠘⠋⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣴⣋⣠⡞⣱⡏⠀⠀⠀⠀⠀⣶⣀⡀⠀⠈⠉⠉⠀⠈⠛⠛⠀⠀⠀⢹⡦⣍⠓⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣽⠋⢹⡇⠀⠀⢠⣤⣯⣯⡉⠙⠓⠲⠤⢤⣤⣀⡀⠀⠀⠀⠀⡇⠈⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠛⠉⠀⠀⠀⠸⡶⠿⠃⠙⢿⠓⢲⡤⠤⢶⠿⣿⡁⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢶⡀⠀⠀⠀⠀⢰⣇⡀⠀⠀⠈⠛⠁⠀⠀⠈⢳⣬⡁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⡼⠇⠀⠀⠀⠀⠀⠈⠉⠙⠓⠲⠦⠤⣄⣀⡀⣼⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣻⢷⡶⣶⠶⣾⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⠀⠀⠀⠀⠀⠀⠀⢠⠾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠓⠺⠒⠿⠖⠛⠛⠒⠒⠒⠒⠒⠒⠒⠚⠛⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⢠⢤⡄⠀⠀⠀⠀⠀⠀⢀⡠⠴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠈⠒⠁⠀⠀⠀⠐⢳⣴⡋⠀⠀⣼⣦⣤⣀⡀⢀⣤⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⡔⠒⠃⢈⡆⠀⠀⠀⣠⠔⠒⠢⡀⣸⠏⠛⠃⢠⣦⡍⠁⠙⠋⠿⠏⠀⠘⡇⠀⠀⠀⢸⣙⣶⡄ ⠈⠓⠒⠛⠀⠀⢀⡞⢁⠄⢀⢀⡿⠁⠀⠀⠀⠈⠉⠀⣴⡆⠀⣾⣧⠀⠀⣷⢄⣀⠀⠀⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠓⠻⠖⢧⠾⣄⠀⠀⡀⣼⣶⠤⢄⣀⣀⠀⠈⠁⠀⠀⢸⠑⠦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠒⠋⠀⠀⢯⠿⠋⠳⡶⢤⡤⢭⣿⣶⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢳⡀⠀⠀⠀⠾⢤⣀⡀⠙⠁⠀⠀⢱⠮⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠓⠊⠁⠀⠀⠀⠀⠀⠀⠈⠉⠁⠒⠲⠞⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣶⡶⡤⡤⢼⢧⡀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⡴⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠓⠛⠚⠓⠛⠃⠀⠒⠒⠒⠒⠚⠛⠓⠒⠒⠒⠒⠒⠓⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠛⠓⠒⠦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢁⡤⢤⡀⡆⠀⢀⣦⠀⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⣇⠸⣄⣸⠇⣇⡀⡼⠼⣇⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣀⣠⠽⣦⠀⠀⠀⠘⢤⡈⠀⠀⠈⠁⠀⢀⣀⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣹⣼⡩⠾⠤⠳⡀⢀⣀⣀⣉⡉⠒⣆⡖⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣰⣩⣀⣀⣀⠤⠤⢶⢛⣳⣄⡠⢴⣻⠐⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣉⣉⣀⣠⡾⢤⣽⠦⢔⣶⣚⡻⠋⠥⠎⢉⡽⢃⣠⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠮⣑⣖⣉⣓⣊⣀⣉⣉⣀⡨⠤⠴⠖⠋⢉⢷⡉⣀⣀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠒⠒⢒⡿⠅⠀⣤⡄⠀⣠⣦⡀⠀⠿⠂⠀⠛⠹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠴⠒⣺⠙⠃⠀⠈⠁⠀⠙⠚⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⢠⣤⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀ ⠸⣍⣽⣄⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠘⠫⣬⣟⢺⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠉⠛⠦⠤⠤⠤⠼⣠⡧⠤⠴⣆⡼⠆⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠿⠟⠛⠛⠛⠛⠛⠛⠛⠿⠷⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⡿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢫⣾⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⣴⡿⢻⣦⠙⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⢿⣷⣶⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⣷⡔⠿⣷⣶⣿⠇⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠈⢿⣦⠀⣦⡀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀⠀⠀⠹⣷⣽⣷⡀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⢠⣿⠿⠷⣶⣶⣶⣶⣶⣶⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣇⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⣼⣿⢀⣴⣶⣦⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢠⣶⣶⡄⠀⢹⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣄⠀⠀⠀⠀⠀⢹⣿⡈⠻⠿⠋⠀⠀⠀⠻⣷⡿⣷⡿⠂⠀⠀⠘⠻⠟⠁⠀⣸⣿⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡿⣿⣦⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⡿⠟⠉⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⢀⣴⣿⡅⠀⠀⠀⠀ ⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⣀⣤⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⣾⣏⣹⣷⠀⠀⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⢼⣿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⡀⠀⠀⠀⠈⠙⠛⠻⢷⣦⡀⠀ ⠀⠀⢀⣿⣷⣤⣀⡀⠀⠀⠙⠛⠻⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣶⡄⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⠀⣼⡏⣠⣿⡿⠿⠃⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠛⠁⠀⠀⠀⠀⢀⣴⣿⠁⠀ ⠀⢰⣿⣴⡟⠁⠀⠀⢀⣤⣤⣴⣶⣶⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⢀⣠⣴⠟⠛⣿⡆⠀ ⠀⣼⡏⣿⡇⠀⠀⢰⣿⣉⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠐⠿⠿⣷⣦⡀⢸⣿⠀ ⠀⣿⠃⠘⢿⣦⣄⡀⠉⠛⠛⠿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣶⣶⣤⣄⠀⠀⠀⠀⣠⣿⠇⠀⣿⡆ ⢸⣿⠀⠀⠀⢸⣿⠟⠀⣀⣀⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⣠⣶⠾⠟⠛⠁⠀⠀⢹⣧ ⢸⣿⠀⠀⢠⣿⠃⣠⡾⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⢿⣧⣤⣴⣿⠂⠀⠀⢸⣿ ⢸⡟⠀⠀⠀⠻⣧⣿⣷⣶⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⣀⣀⣈⣭⡿⠋⠀⠀⠀⢸⣿ ⢸⡇⠀⠀⠀⠀⠈⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⢸⣿ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿ ⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇ ⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀ ⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣧⡀ ⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡾⠋⠀⠈⣷ ⠀⠀⠀⠀⠀⠈⠻⢷⣦⣤⣄⣀⣀⣀⠀⠀⢠⣄⠀⣴⡄⠀⠀⠀⠀⠀⢀⣦⠀⢠⣦⠀⠀⠀⣀⣀⣴⡟⠋⠉⠉⠁⠀⠀⠀⢀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡛⡛⠛⠛⠛⠛⢿⣶⡿⠿⠟⠛⠛⠛⠛⠛⢻⣷⡾⠿⠛⠛⠛⠛⠛⠙⠷⢶⣤⣤⣤⣤⣤⠶⠛⠁
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⠉⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⠙⢧⡀⠀⠀⠀⠀⠀⠀⣠⡴⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣯⠄⠀⠄⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠋⠀⠀⠈⢻⣄⣤⣄⣀⣀⡼⠋⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠭⠤⢥⣴⣬⣽⠇⠀⠀⠀⠀ ⠀⠀⠀⢰⣏⣀⡀⠀⠀⠀⠧⠧⠶⠷⠼⣀⣀⣀⡀⠀⠘⣿⠛⠲⠶⠶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠓⠶⣿⡆⠀⠀⢀⣤⡀⠀⠀⡀⠀⠀⢀⣄⡀⠈⢩⢯⢻⣆⣬⣤⠀⡘⡄⢹⠙⡛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⡞⠉⢳⡀ ⠀⢀⣸⣁⣱⡀⠀⠘⠛⠀⡠⢿⣻⢧⠀⠘⠛⠁⠀⣤⠟⢹⡿⠀⠀⠀⢰⠀⠀⡆⡇⢀⡨⠛⢦⡀⠀⠀⠀⠀⠀⡗⠒⠚⡇ ⠉⠉⣿⡀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠉⠒⠂⠐⠚⠉⣰⣟⠛⠒⠲⠀⠀⡇⠀⡇⡇⠀⠀⠀⠀⢻⣄⠀⠀⠀⢠⠏⠐⠲⡇ ⠀⢸⡇⢟⠳⡦⢄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠋⡠⠃⠀⠀⠐⠀⡀⠃⢀⠁⡇⠀⠀⠀⠀⠀⢻⡄⠀⡠⣏⠑⢤⡼⠁ ⠀⢸⡇⢌⢢⠈⠢⣄⠉⠉⣼⣷⠖⠉⢉⡡⠚⠁⣠⠞⢀⠞⠀⠀⡇⠀⡆⠀⢸⢠⠁⠀⠀⠀⠀⠀⠀⣿⠋⢆⠈⣳⠞⠁⠀ ⠀⠘⣧⠀⠀⠑⣄⠀⠉⠲⣍⣡⠔⠊⠁⣀⠴⠊⠀⠔⠁⠀⠀⠼⠀⠀⡇⠀⡆⡸⠀⠀⠀⠀⠀⠀⠀⣿⠤⠜⠋⠁⠀⠀⠀ ⠀⠀⢹⡄⢠⠤⠤⡷⢄⣰⣿⣿⣀⠔⣪⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢰⢡⠇⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣄⠉⠉⠁⠀⠯⢸⣶⢱⠉⠭⠥⡇⠀⠀⠀⠀⢀⡀⠀⠀⡜⢠⠃⡞⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⣀⣀⡀⠀⠈⢿⠄⠑⠤⠜⠁⠀⠀⠀⣠⠊⠀⠀⠀⢀⠎⡜⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡒⢛⣿⠗⠛⠛⠒⠒⢿⠭⠭⠷⣶⡟⠓⠲⠶⠶⠾⠾⠶⠶⣆⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⠀⠀⠀⠀⠈⠳⣤⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠉⠉⠉⠉⠉⠛⠛⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣤⡄⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⣠⣶⣷⣦⣄⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠉⢿⣦⡀⠀⢸⡿⠀⠀⠀⠀⣾⣟⠁⠀⠈⣿⡆⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠹⣷⣴⣾⣧⡀⠀⠀⠀⠉⠛⠛⠿⠟⠛⠁⠀⠀⠀⠀⢸⣷⣤⣶⣶⣶⣶⣶⣶⣶⣦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢸⣿⡽⣿⡻⠿⠿⣶⣄⠀⠀⠀⠀⣀⡀⠀⠀⠀⢀⣼⡟⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⣿⠟⠻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠹⣷⣄⡀⠈⠻⠷⠶⠾⠟⠛⠛⠿⠿⢿⣿⡿⠀⠈⠻⠿⠟⠋⠀⠀⠛⠿⣿⡿⠟⠀⠀⠀⠀⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣀⣀⣀⣿⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣦⣤⣤⣄⣀⣀⣤⣤⡶⠿⣋⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣷⣄⠀⠀⠀⠀ ⠈⠉⠉⠉⠉⠛⣿⠇⠀⠀⠀⠀⢠⣦⣤⠀⠀⠀⠀⣶⡤⠀⠀⠀⢀⣀⣉⣉⡍⠉⠉⠉⠁⣰⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀ ⢠⣴⣶⠶⠛⢻⣿⠀⠀⠀⠀⠀⠹⣿⠿⠀⠀⢰⣦⣿⣷⣴⠀⠀⠘⠛⠛⠛⠛⠀⠀⠀⠀⢹⣷⣶⣶⣶⣶⣦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀ ⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇ ⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠛⠉⠉⠀⠀⠀⠀⠈⠉⠛⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟ ⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡀⠀⠀⠀⠀⠙⠿⣿⡿⠏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⣿⠃ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⣠⣴⡾⠿⢿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣦⣼⡏⠀ ⠀⠀⠀⠀⠀⠈⠻⣧⡀⣰⡿⠋⠁⠀⠀⠈⣿⣌⠙⠛⠻⢿⣦⣄⣀⣀⣠⣤⣶⠶⠿⣿⡿⠀⠈⠙⠻⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡿⠛⠛⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢻⡟⠁⠀⠀⠀⠀⣶⣾⣿⣷⣄⣀⠀⠈⠉⠛⠛⠉⠁⢀⣠⣾⣿⣦⡄⠀⠀⠀⠈⢻⣇⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⡾⢿⣿⣿⣿⡄⠀⢀⣸⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠿⠶⠶⠶⢶⣶⠾⠟⠛⠛⠛⠛⠁⠀⠀⠀⠀⢨⣿⠀⠀⠀⢠⣾⣿⣿⣿⣿⠀⠀⠈⣿⣿⣿⣷⣴⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣴⣿⣿⠷⠶⠶⠾⣿⣿⣿⣿⣿⣤⣤⣴⡾⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠈⠙⢿⣦⣤⣤⣤⣶⣶⣦⣤⣴⣾⣿⠻⣷⣤⣤⣶⡾⠟⠛⠛⠋⠉⢡⣾⠏⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣤⣄⣈⠉⠉⠉⠀⠀⣀⣠⣴⡿⣷⣤⣤⣉⣉⣀⢀⣀⣀⣠⣤⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠿⠟⠛⠉⠁⠀⠀⠉⠉⠉⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠙⣦⠀⠀⠀⢀⡾⠁⠀⠙⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠈⣿⢻⡿⣿⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠛⢳⠿⠤⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠹⣦⣤⣤⡤ ⠀⠀⠀⠐⠛⣻⠟⠛⠂⠀⠀⠀⠾⡿⢀⣷⣼⣦⣧⣐⠿⠇⠀⠀⢹⡶⠶⠶ ⠀⠀⠀⠀⣰⣿⡀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠉⢳⡄⠀⠀⠀⢷⠀⠀ ⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠸⡇⠀ ⠀⠀⣰⣏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⢀⠀⢀⠀⣼⠃⠀⠀⠀⠀⢿⠀ ⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠛⣿⠓⣻⡿⠿⠄⠀⠀⠀⠀⢸⡆ ⠀⡾⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⣏⣷⣫⡟⠛⠀⠀⠀⠀⠀⠈⡇ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢸⠀⠀⡔⠂⠐⠤⠒⠉⠁⢢⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⡄⠀⠣⡀⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⠘⣷⠀⠀⠈⠑⠢⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟ ⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁ ⠀⠘⣿⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⠁⠀ ⠀⠀⠈⠷⣼⣿⡟⠲⢤⣤⣐⣛⣉⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣉⣽⠇⠀ ⠀⠀⠀⠀⠈⠙⠳⢤⣼⣿⣿⡿⠉⠉⠉⠉⠙⠛⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜ ⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬜⬛ ⬛⬜⬜⬜⬛⬛⬜⬜⬛⬜⬜⬛⬛⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⣠⠞⠉⠑⣄⠀⠀⠀⢀⠔⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⢸⢦⣦⡴⡏⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠤⠤⢄⣼⣁⠀⠀⠀⠀⠈⠋⠙⠙⠃⠀⠀⠀⠀⢈⣣⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠠⠤⣴⠥⡌⠀⠀⣏⡳⠀⢦⠼⣴⠂⢸⣙⠆⠀⠸⣼⣷⣤⢄⠀⠀⠀⠀⠀ ⠀⠀⣠⣇⣀⣀⣀⣀⣀⠀⠤⠬⠷⠷⠒⠒⠛⠋⠉⠉⣁⣀⢈⡆⠀⠀⠀⠀⠀ ⠀⣸⠀⢀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⠤⠤⠤⡶⢞⠁⠈⡏⠹⡀⠀⠀⠀⠀ ⠀⡏⠉⡏⠀⢹⠈⢯⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣇⠈⠒⠚⡝⠀⢹⡀⠀⠀⠀ ⢸⠀⠀⢻⣉⠁⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠊⠀⠀⠀⢳⠀⠀⠀ ⡼⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠠⠤⢴⠃⠀ ⠈⣆⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠤⠤⠤⠔⠒⠒⠊⠉⠉⠁⠀⠀⣀⡠⠋⠀⠀ ⠀⠹⣍⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠤⢴⠒⠒⠈⢉⢼⡝⣲⣄⠀ ⠀⠀⠈⠳⣖⠒⠒⠒⠀⠟⠉⢙⡏⠉⠁⠀⠀⠧⣀⣀⣠⠤⠖⠓⠺⣎⠤⠼⣆ ⠀⠀⠀⠀⠈⠉⠒⠒⠦⠤⠶⠞⠒⠒⠒⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⡏⠉⢑⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠟⠛⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠹⣿⣶⣶⣶⣶⣶⡿⠃⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢸⣿⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⣀⣀⣤⣤⣤⡀ ⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣼⣯⣀⣉⡉⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⢠⡀⢠⡄⢀⣤⠀⠀⣤⣤⣄⠀⠀⠀⠈⢿⣟⢛⣉⠉⠉⠁ ⠀⠀⠀⠀⠀⠀⠉⠉⢉⣽⠏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠘⢿⡿⠃⣠⣽⣷⣼⣿⣼⣿⣤⣄⠻⠿⠟⠀⠀⠀⠀⠘⣿⡛⠛⠛⠿⠃ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠉⠛⢿⣦⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀ ⠀⠀⠀⠀⢀⣿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀ ⠀⠀⠀⢀⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⣀⠀⠀⢀⣄⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀ ⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣷⢾⣿⠷⠶⠾⣿⣷⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀ ⠀⠀⣸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣅⣀⣠⣿⣧⢀⣴⣿⣅⣀⣈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀ ⠀⢠⣿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⢿⣇⣽⣿⣅⣾⡟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀ ⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡏⠈⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆ ⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣤⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇ ⢠⣿⠀⠀⠀⣠⠖⠋⠙⠒⢤⣠⠞⠉⠉⠉⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⢸⡏⠀⠀⢸⠃⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷ ⢸⣷⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠈⣿⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⣿⡆⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇ ⠀⢹⣿⡀⠀⠀⠀⠀⠈⠙⠲⠤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁ ⠀⢸⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀ ⠀⠀⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀ ⠀⠀⠸⣿⣿⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀ ⠀⠀⠀⠙⢷⣄⠀⢸⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠿⢷⣶⡀⠀⠀ ⠀⠀⠀⠀⠈⠻⢷⣿⣿⣿⡟⠛⠻⠷⣶⣤⣄⣈⣙⣉⠀⢀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢁⣀⣴⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣧⣄⡀⠀⣾⣿⣿⣿⣿⡟⠛⠛⠛⠿⠿⠿⠿⠷⠶⠶⠶⠶⠶⠶⠾⠿⠿⠿⠛⠛⠛⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
some of yall fr need to stop pretending to care abt Palestine or Isreal for a trend. if u cared for Palestine u would boycott starbucks or McDonald's, like I do. if some of yall are like "free palestine!!" but buy Starbucks or mc donalds, you don't mean it. if you really cared you would try to boycott or do something to help, even if it's little help. saying you want Palestine to be freed isn't gonna do anything, because if you really wanted it to be freed w you would do something about it.
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⣿⣿⣿⣿⣿⡟⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⠘⢿⣦⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠿⠿⣿⣷⠰⣽⣶⣮⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣥⣴⣶⣶⣦⣍⢿⣿ ⣿⣿⣏⠉⢷⣌⢿⣷⡌⢿⡿⣗⡹⣿⣿⣿⢛⣭⣩⣽⢦⡚⣭⡹⣿⣿⣿⣿⡆⢿ ⣿⣿⣿⣦⠨⣫⣮⣝⢿⣌⢿⣿⣿⡝⣿⣿⢸⡿⡝⢇⠿⡇⣿⣷⣭⣛⠻⠇⠇⣾ ⣿⣿⣿⣿⣷⣝⢿⣿⣃⣻⢧⠹⣿⣿⡘⡇⡇⠂⣠⣶⣤⣦⡁⠻⣿⣿⡇⠄⢠⣿ ⣿⣿⣿⣿⣿⣿⣧⡡⣿⣿⣷⡀⠘⠿⣿⠖⣠⣾⣿⣿⣿⣿⣿⢰⣤⣴⣧⢠⣿⣿ ⡿⣛⣛⠿⣿⣿⣿⣿⣮⡻⣿⡟⠄⠈⢁⣼⣿⣿⣿⣿⣿⣿⠏⠄⡻⣿⣿⡆⣿⣿ ⣇⣋⠙⢿⣶⣮⣝⡛⠿⢿⡀⠇⠄⣰⣿⣿⣿⣿⣿⣿⡿⠁⢠⣴⣾⣾⣿⡇⣼⣿ ⣿⣿⣷⣬⣋⣙⠻⣵⣿⣿⡶⢀⣾⣿⣿⣿⣿⣿⣿⠏⠄⠠⣿⣿⣿⣿⡏⠃⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣮⣙⠙⣰⣿⣿⣿⣿⣿⣿⣿⠋⠂⠄⣼⣿⣿⣿⣿⠁⢰⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠏⣴⣿⣿⣿⣿⣿⣿⡿⠃⠄⢀⢲⣿⣿⣿⣿⡇⠄⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢋⣾⣿⣿⣿⣿⣿⣿⡿⠁⠁⢠⣿⣮⣻⣿⣿⣿⣵⡜⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⡟⠐⠄⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡹⢿ ⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⡟⠐⣀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮