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𐭩( ^/////^ )𐭩 𓍢ִ໋🌷͙֒

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◍ ◍ ◍ ◍ ☽ ◍ ◍ ︵︵‿ ︵‿︵‿︵‿︵◍ ◍ .˚ ̥ 𓆞 ◍ ◍

⠀⠀⠀⠀⠌⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⢁⠂⠀⠀⠀ ⠀⠀⠀⠀⠈⢢⠈⠑⢥⡀⠀⠠⠤⠒⠒⠒⠒⠲⠤⠤⢀⣴⠟⠁⣠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀ ⡆⠀⠀⠀⠀⠀⡸⠀⢀⡠⠤⡀⠀⠀⠀⠀⠀⠀⠀⡠⠤⡀⠀⠸⠀⠀⠀⠀⠀⢠ ⣿⢂⠀⠀⢀⠔⠁⠀⢫⠀⠀⠐⡀⠀⠀⠀⠀⠀⡎⠀⠀⢨⠂⠀⠑⠄⠀⠀⠀⡻ ⢻⣮⣰⠴⠃⠀⠀⣀⣀⡁⠒⠊⠀⠀⠀⠀⠀⠀⠙⠒⢂⣁⣀⠀⠀⠈⠀⢀⣠⠃ ⢠⡿⠁⠀⠀⢀⣾⠟⠛⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠛⠻⣷⡄⠀⠀⠀⢻⡄ ⣾⠇⠀⠀⠀⣾⠁⠀⠀⠀⠙⠇⠀⢀⡀⢄⣀⠀⠰⠏⠀⠀⠀⠈⢿⠀⠀⠀⠘⡷ ⡿⠀⢀⠠⠤⠖⠒⠒⠒⠒⠒⠒⠊⣁⣤⣤⣄⠉⠒⠶⠒⠒⠒⠒⠒⢡⣄⣀⠀⢧ ⡗⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠙⠿⡿⠋⠀⡀⠀⠀⠑⠄⠀⣰⠟⠉⠉⣧⠈ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⢤⠴⠧⢤⠴⠃⠀⠂⠀⠀⢀⡏⠀⠀⠀⠸⣎ ⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⡿ ⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⣼⢹ ⠀⠀⠀⠀⠈⠉⣻⡶⠢⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠠⠤⣴⠃⠀⠀⠀⠀⢰⢃⠛ ⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⣠⢿⠋⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠉⠉⠉⠻⣮⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⣾⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⣀⡀⠀⠀⣠⣿⠟⠀⠀⠀⠀⠀⠀⣸⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠟⠛⠛⠙⠛⠛⠛⠳⢷⣾⡟⠉⠀⠀⠀⠀⠀⢀⣴⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⢀⣤⣾⠟⠁⠀⠀ ⠀⠀⠀⠀⣤⡿⠟⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⣶⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⣼⡟⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠹⠆⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⣾⡏⠀⣿⠀⠀⠀⣴⠛⢳⡄⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⣸⡿⠁⠀⣟⠀⠀⠀⠃⠀⠀⠀⠀⢰⣇⣤⠖⠲⠶⠛⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀ ⣰⣿⠃⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠛⢶⣤⣀⣀⣀⣀⣀⣀⣠⣤⣤⣴⣶⡶⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣧⠀⠀⠀⠀⠀⠀⠀⣽⡿⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣧⣀⣀⣀⣀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⡿⠟⠛⠋⠉⠉⢩⣍⠛⠛⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⣿⣿⠀⣰⡄⠈⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠁⢀⣠⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠞⠛⠛⢿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠋⠀⠀⠀⠀⠈⢿⣿⣿⠿⣿⠏⣸⡿⠁⣿⠟⠉⣿⣿⣠⣴⣤⣀⣀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣠⣤⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⡞⠀⡿⠁⣴⠃⣠⡾⢿⣿⣿⣿⣿⣿⡿⠋⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⠛⠋⠉⠀⠀⣠⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣴⣧⣼⡏⢰⡏⠀⣼⣿⠿⠿⢿⣿⣇⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⡛⠻⣷⡄⠀⠀⣼⣿⡿⠃⣠⣿⣿⣿⣿⣷⣿⠀⣼⡟⠁⠀⠀⢀⠘⢿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾ ⠀⢀⣴⣶⣶⣦⣄⡀⣹⣿⣾⠟⠿⡆⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⣿⡇⠀⠀⠀⢿⡿⢸⣿⣿⣥⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁ ⢠⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣷⣶⣿⣦⣈⠙⣻⣿⣿⣿⣿⣿⣿⡀⢿⡆⣿⡇⠀⠀⠀⠀⠀⠘⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣇⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⢿⣿⣿⡄⠀⠀⠀⢠⣴⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⢠⡿ ⠀⢿⣿⣿⡿⠻⣿⣿⣿⣿⣌⠻⣯⠻⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠉⠻⣿⣿⣿⣿⣦⡀⠀⠘⢿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠁⠀⠀⠀⣰⠿⣷ ⠀⠈⠻⣿⣷⣤⣿⣿⣿⣿⣿⣷⣼⣿⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠋⠀⠀⢀⣠⣴⣿⢿⣦⣤ ⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⡿⠛⠁⠀⠀⢀⣴⣿⣿⣿⣿⣾⠟⠉ ⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠁⢀⡀⠀⠀⠀⠀⠀⢀⣤⣶⠀⠀⣀⣀⣀⡀⠀⠀⢠⡈⠛⠻⠿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⡿⠿⠛⠋⠁⠀⣴⣶⡾⠟⠋⢁⣀⣽⣿⠟⣡⣶⣿ ⠀⠀⠀⢠⣤⣄⠀⠀⢀⡀⠀⠀⠀⠸⣿⣧⠀⠰⠶⠿⠛⠋⠁⠀⣴⣿⣿⣿⣿⣷⣄⠘⢿⣄⢸⣿⣶⣬⣉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⡿⠛⢡⣾⡿⠟⢋ ⠀⠀⠀⠀⠙⢿⣿⣿⢋⣡⣶⣦⡀⠀⠈⠿⠃⣀⠀⢠⣶⣤⣀⣰⣿⠀⢹⣟⠻⣿⣿⣷⣄⠉⢿⣿⠛⠿⣮⡻⢦⣄⣀⣀⣴⣶⣶⣶⣶⣦⣀⣿⣿⣯⣉⣉⠉⢀⣀⣀⣈⣉⣀⣠⣿ ⠀⠀⢀⣤⣶⣿⣿⠟⢻⣿⠋⢈⣿⣶⣤⡶⠿⠛⢀⣾⣿⣿⣿⡿⣿⡄⠀⢻⡄⠈⠻⣿⣿⣿⣿⣿⣷⣤⣈⠛⠀⠙⠻⣿⣿⣧⣌⣿⣿⠿⣿⠟⠻⠿⠛⠋⠐⠿⠿⠿⠟⠛⢛⣉⣉ ⠀⠀⣿⣿⣿⡿⠁⠀⢸⣿⣶⣾⣿⣿⣿⣿⣶⠾⠛⠋⠉⠛⢿⣷⣶⣿⣶⠀⠁⠲⣤⡈⠛⢿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⠿⠛⢀⣠⣤⣶⣶⡶⠶⠿⠿⠿⠿⠿⠿⢿ ⠀⠀⣿⣿⡿⠁⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣄⣠⣴⣿⣿⣿⣿⣿⣿⣿⡿⠀⣠⣤⣬⡙⠲⠤⢿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⢛⣉⣁⠀⢀⣶⣿⣋⣉⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤ ⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠉⠛⠛⠘⠛⠚⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠐⠚⠓⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

ᕁ᙮ᕁᕽᕽᕁ᙮᙮ᕁᕽᕽᕁ᙮ᕁ

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢞⣫⢿⣿⣿⡽⣷⣄⢀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣛⡴⣭⣶⣿⣽⢿⢝⡪⡻⡆⠿⡷⣿⣗⣦⡀⠀ ⠀⠀⠀⠀⠀⢀⡞⡽⣣⠞⢣⣷⢋⣾⠷⢦⡙⡄⡇⢘⢿⡛⠚⢟⢳⡀ ⠀⠀⠀⠀⣰⢏⡞⢡⣻⣤⣿⢡⡟⣡⡯⠀⢻⢰⠇⡼⣿⠭⢭⡓⢅⢣ ⠀⠀⠀⡰⡯⣟⣗⡿⠞⢹⠏⢻⡇⢉⣔⣜⢸⠏⣼⡾⠁⠀⠀⠙⢮⢸ ⠀⠀⣼⡿⣾⠍⣼⢗⠩⢺⡷⠏⣧⠈⣾⠓⠀⢸⢙⡇⠀⠀⠀⠀⠈⡾ ⠀⡼⣡⣽⠿⠟⠛⢛⠚⠻⠿⢶⣌⣧⡘⠘⠕⣹⡐⢻⡄⠀⠀⠀⠀⠀ ⡰⠟⡉⣤⣖⣽⡿⣿⣩⣟⢳⡶⣤⣉⠛⠦⣈⠸⢝⠅⠻⣄⠀⠀⠀⠀ ⠰⠚⢊⣩⢤⢴⣒⡖⠤⣌⣉⠑⠲⢍⣓⠦⣌⠙⠲⠤⠤⠤⠖⢀⣠⡖ ⢀⣖⠿⠟⠚⢋⣉⡛⠛⠾⣜⡽⢲⣄⡉⠓⢥⣙⠶⢶⢤⢶⡲⣩⠞⢁ ⠉⢀⠴⣖⣝⣿⣿⣟⢏⡶⢤⣉⠓⢿⣛⠗⢤⣈⠙⠛⠚⠛⠋⣀⢔⡟ ⠐⠋⠉⠀⠀⠀⠀⠀⠉⠲⢾⣹⣗⣦⣈⠓⠦⣆⣫⠽⡟⢿⣿⡵⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⠶⠿⠛⠛⠛⠻⠷⢶⣦⣤⣀⡀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⢉⣀⣤⣤⣤⣤⠄⠀⠀⠀⠀⢀⣿⠟⢻⡿⠛⠻⣦ ⠀⠀⠀⠀⠀⣴⡾⠋⠀⣠⣶⠟⠋⠉⠀⠀⠀⠀⠀⢀⣀⣤⡾⢿⣦⠀⠀⠀⣴⡿ ⠀⠀⠀⣠⣾⠋⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠛⠋⠀⠀⠈⠀⣠⣄⣼⡇ ⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣼⡿⠷⠆⠀⠀⠀⠀⠀⠈⢻⡏⠀ ⠀⣰⡟⠀⠀⠀⠀⠀⣀⣤⣶⣾⠟⠛⠛⠛⢻⣯⠀⠀⣰⡆⢠⣄⡀⠀⢀⣼⠇⠀ ⢠⣿⠁⠀⠀⢀⣤⡾⠛⠉⣿⠃⠀⠀⠀⠀⠀⢹⣿⠾⢿⣦⣤⣿⠿⠟⠛⠉⠀⠀ ⣸⡇⠀⠀⣠⡿⠋⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⠀⣴⡟⠁⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢰⡟⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡇⣿⠁⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠉⠻⣶⠀⠀⠀⠀⠀⠀ ⣤⣄⣀⣿⡿⠟⠻⣦⣀⣠⣴⠿⠛⢷⣄⣈⣻⡿⠟⠻⣷⣄⣀⣴⡾⠟⢿⣦⣀⣀ ⠈⠙⠋⠁⣀⣤⣄⠉⠛⠉⠁⣀⣤⣄⠉⠋⠉⢀⣠⣤⡈⠙⠋⠁⣀⣤⣄⠉⠛⠉ ⠻⣦⣴⠾⠛⠉⠙⢷⣦⣶⠿⠋⠉⠻⣷⣴⡾⠟⠉⠉⠿⣦⣴⠾⠛⠉⠙⢷⣦⡶ ⣿⣏⣛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠈⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠐⠛⠀⠀⠀⠀ ⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀ ⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠛⣿⣿⣭⠁⠀⠀ ⠀⢴⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⠃⠀⠀ ⠀⠀⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⡶⠒⠚⠉⣳⡄ ⠀⠀⢛⣿⣫⣤⡀⠀⣄⠀⢀⣄⣀⣀⣠⣴⡟⠳⠶⠒⠚⠋⠀ ⠀⢰⡏⠁⢀⣸⠇⠀⠻⣿⠟⠉⠙⠋⢩⣟⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠙⠛⠉⠁⠀⠀⠀⠙⢷⣤⣠⣴⡿⠋⠀⠀⢀⣴⠏⠀⡀ ⠈⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣨⣤⠴⢶⣾⡟⠁⣠⠞⠁ ⠀⠀⠉⠙⠛⠒⠒⠒⠚⣿⠉⠀⠀⠀⠀⢀⡾⠋⣠⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⠀⠀⠀⠀⠛⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠻⠿⣿⣷⣶⣦⣤⣠⣤⣦⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠋⠁⠀⢀⣠⣤⣤⣶⣶⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠋⠙⣿⡿⠛⠙⠻⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠟⠉⠀⢀⣠⣶⣿⡿⠿⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣯⣀⠀⠀⠉⠁⠀⠀⢀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⢀⣴⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣾⣿⠿⠛⠻⣿⣷⠀⠀⠀⠀⠰⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⠛⠻⠟⠁⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⣽⣿⠆ ⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠏⠀ ⠀⠀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣠⣿⡿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀ ⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⡿⠿⠿⠿⠿⢿⣿⡟⠀⠀⠀⠀⣠⣄⠀⠀⣀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀ ⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⣄⡀⣀⣴⣿⠏⠀⠘⣿⣷⣤⣀⣀⣠⣴⣿⡟⠁⠀⠀ ⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⣠⣶⣿⠿⠋⠁⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠿⢿⣿⣶⣤⣤⣼⣿⡿⠿⠿⠿⠛⠉⠀⠀⠀⠀ ⢠⣿⡿⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠈⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⡇⠀⠀⠀⢀⣼⣿⠟⠁⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⢀⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⡀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣇⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣦⣀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣀⠀⠙⠿⣿⣷⣤⣀⣠⣤⣤⣄⠀⠀⠀⠀⠙⠛⢀⣠⣤⣤⣄⠀⠀⠀⠀⠀ ⣶⣶⣄⣀⣀⣽⣿⡿⠟⠛⠻⣿⣷⣄⣀⣀⣴⣾⣿⠿⠛⠻⣿⣷⣄⣀⣈⣽⣿⣿⠿⠛⠻⢿⣷⣄⣀⣀⣤⣾⣿⠿⠛⠛⢿⣷⣄⣀⣀⣀ ⠈⠻⠿⠿⠿⠛⠉⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠉⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠈⠙⠿⠿⠿⠟ ⢀⡀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣦⡀⠀⠀⠀⠀⣀⣴⣶⣶⣶⣦⡄⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣄⠀⠀⠀⠀⣀⣤⣶⣶⣶⣶⣄⠀⠀⠀⠀ ⢿⣿⣦⣤⣶⣿⡿⠟⠉⠀⠉⠻⣿⣶⣤⣶⣿⡿⠟⠉⠀⠉⠻⣿⣶⣤⣶⣾⡿⠟⠋⠁⠈⠻⣿⣷⣤⣴⣾⡿⠟⠋⠁⠈⠻⣿⣷⣤⣴⣶ ⣤⣼⣽⣿⣿⣧⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣯⣤⣤⣤⣤⣤⣤⣤⣽⣿⣿⣥ ⣿⣿⣂⣀⣀⡀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣟⣛⣛⣻⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠛⠉⠁⠀⢰⡇⠉⠛⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⢀⡀⠀⢀⣠⣤⣿⣷⣴⣷⡀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠞⠛⢿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⡾⠋⠀⠀⠀⠀⠹⣿⡟⢻⠏⣾⠃⡿⠋⣹⣿⣤⣶⣦⣤⡿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡶⠶⠟⠋⠁⣀⡀⠀⠀⠀⠀⠀⠈⠻⣾⣠⣇⣼⢁⡞⢉⣿⣿⣿⣿⡏⢰⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⠟⢷⡄⠀⢠⣶⡶⢀⣿⣿⣿⣷⣾⠁⣾⠋⠀⠀⠙⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⣴⣶⣶⣦⣄⣹⣿⣟⠻⣆⠘⣿⣿⣿⣿⣿⣿⡿⣿⠀⣿⠀⠀⠀⠿⢸⣿⣯⣴⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁ ⢸⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣶⣤⣽⣿⣿⣿⣿⣧⠸⣧⣿⡄⠀⠀⠀⣈⣉⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⣠ ⠘⣿⣿⡿⢿⣿⣿⣦⠻⣟⠻⣿⣿⣿⡿⠟⠉⠉⠙⠳⣿⣿⣿⣄⠀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⣴⣯ ⠀⠘⢿⣷⣼⣿⣿⣿⣷⣾⣷⣿⠿⠋⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣷⣄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⠁⠀⣠⣴⣿⣷⣤ ⠀⠀⠀⠙⠿⢿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣶⣤⣤⣀⣀⣀⣀⣀⣤⣤⣶⠿⠛⣁⣀⣀⡴⠿⢿⣿⡿⢋⣡ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢼⣦⡀⠠⣤⡶⠟⠃⢀⣶⣿⣷⣦⡀⠰⣄⢸⣿⣝⡛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠙⣩⣥⣶⣶⡿⢋⣿⡿⠟ ⠀⠀⠀⠙⣿⣶⣛⣵⣶⣄⠀⠙⠇⡀⠀⣶⣦⣀⣾⠁⢻⡟⢿⣿⣦⡈⢻⡟⠻⢯⡳⢤⣀⣠⣴⣶⣶⣦⣤⣼⣿⣭⣍⠉⣁⣀⣈⣉⣀⣿ ⠀⢀⣴⣾⣿⠋⢹⣟⣀⣿⣷⣾⣛⣉⣼⣿⣿⣿⣻⣧⡀⠳⠀⠙⢿⣿⣿⣿⣷⣤⣍⣀⡙⣿⣿⣦⣿⣿⣿⠏⠛⠋⢁⣈⣛⣛⣋⣉⣭⣤ ⠀⢸⣿⣿⠃⠀⠘⢻⣿⣿⣿⣿⡏⢁⣠⣤⣤⣿⣿⣿⡿⠀⣈⣓⠦⣉⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⢁⣴⠞⠛⠋⠉⠉⣉⣉⣉⣉⣉ ⠀⠈⠛⠁⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠉⠉⠛⠛⠙⠓⠚⠛⠛⠃⠀⠀⠉⠉⠙⠛⠒⠚⠒⠒⠛⠛⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠊⠉⠀⠈⠹⠶⣿⣿⣿⠓⢾⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠛⠟⠛⢻⣤⡀⠀⠉⠁⠁⠀⠀⠙⠛⣶⠶⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠷⠂⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠻⠷⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠇⡴⠂⠀⠀⢀⣀⣠⣤⣀⢠⠶⠐⣦⡀⢠⣴⡄⢀⣀⠀⠀⠀⠀⠀⣠⣔⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣏⡶⠃⠀⣀⣠⠛⠛⠛⠁⠉⠙⠳⣾⣿⣿⣿⣿⣿⣿⣿⣠⣤⣷⠰⣀⣹⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠏⢁⣤⢾⣿⠏⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡿⠛⠛⣿⣿⣿⣿⡛⡿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢋⡴⠊⠉⠉⠁⠀⠀⠀⠀⢠⣤⣼⣿⣿⣿⣿⣿⡟⠀⠈⢠⣿⣯⡍⠟⠐⢿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢾⣿⡁⢰⣿⠋⠀⢀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠈⠻⠄⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⣿⣷⠋⠀⠀⠰⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⡍⠁⡍⠀⠀⢀⣤⣿⣿⣿⣿⣿⣷⣿⡟⠉⠀⠈⣿⣝⣦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠀ ⠈⣷⢰⠁⠀⣀⣼⣿⣾⣿⣿⠟⠉⢉⡛⠃⢤⣤⣤⣿⣿⣟⢷⣦⣄⣀⠀⠀⣀⣀⣰⡟⢻⣦⣴⣶⡾⢟⣋⢁⣀⠄ ⠀⠻⣾⡏⠼⣿⣿⢻⣿⡟⠁⠀⠸⣿⣷⣶⣿⣿⣿⣟⠳⣬⡵⣿⣿⣷⣶⣾⣿⣿⡿⢢⣤⣿⣿⣿⣿⣟⣋⠉⠀⠀ ⠀⠀⠸⣷⠂⢸⣿⣿⠯⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣻⣟⣛⡶⠿⠿⣿⣷⣾⣿⠟⢻⣿⣿⣿⣿⣯⠭⢄⣀⡄⠀ ⠀⠀⠀⠸⣤⢸⣿⡇⠀⣶⣦⣶⣾⣿⣿⠿⣿⣿⣯⡻⠶⣍⠀⠉⠙⠛⢻⣿⡟⠃⡈⣛⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠹⡿⣧⡀⣿⣿⣿⣿⣿⣿⡗⢌⠙⠣⣭⣷⢶⡶⠶⠶⠛⠋⠀⣠⠜⠿⠿⣿⣿⢷⣤⣤⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⢿⣿⡛⣟⣻⣾⣶⣧⡿⢯⣄⠙⢿⡿⡿⠿⣋⣁⠀⠀⠀⣈⣿⣿⣿⣿⡿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⠶⢿⠿⠛⠁⠀⠿⠟⠛⠮⠷⠿⠿⠛⠛⠉⠉⠁⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⠦⣴⠞⠉⠙⠛⠶⠋⠙⠳⠷⠶⣆⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣾⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⡟⠃⠀⡀⠀⠀⢀⣄⣴⠋⠓⠚⠛⢿⣿⣿⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠋⠙⠒⠒⠻⠂⠁⠀⠀⠀⠀⠀⢻⣿⡈⠹⡸⣿⣷⣿⣧⡀⠀⠀⠀⠀⠈⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠗⣿⣿⣿⣿⣿⣇⣠⣤⡀⠀⠀⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⡀⢻⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢹⣿⣇⠀⢹⣿⣿⣿⡿⢿⣿⣷⡀⠀⠘⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⣿⣿⣿⡇⠘⣿⣿⡿⠀⠀⣳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠛⠋⢓⠀⣼⣿⣟⠃⢠⠛⣿⡟⠀⠀⢧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣿⠇⠀⠀⢸⣶⣿⣿⡇⠀⢸⣷⣿⣷⣤⡄⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣼⡏⠀⠀⢀⣿⣿⣿⣿⣧⠐⣿⣿⣽⣿⡿⢁⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠉⠀⠀⢀⣾⣯⣿⠏⣼⣧⣿⠉⢻⣁⣿⣷⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢀⡴⡠⠀⣼⣿⣿⡟⣰⣿⣿⠃⠀⣤⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣏⡼⡵⠁⡼⣵⣿⡟⣁⡟⢁⠏⠀⣼⢿⣿⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠟⣹⣎⣿⣟⣾⣿⣿⡿⢴⡿⢠⣶⣤⣴⡯⢿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⡠⠂⣼⣿⡿⢋⣾⣿⣿⣿⠗⡞⢁⣾⣿⣿⠟⣿⣾⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠋⣳⣿⣠⣾⣿⣿⡱⢩⣿⣿⢿⠏⠘⡝⣺⣿⣿⣯⣴⡿⠃⠀⠀⠀⠀⠀ ⠀⣀⣠⣤⣶⣾⠿⠛⠉⠁⡀⢞⣿⣿⣿⣿⠏⢉⣴⣿⠟⡰⠃⣠⣾⠿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠈⠈⠉⠛⠫⠤⣀⣴⣗⢍⢤⣪⣴⣿⣿⡡⣶⣿⢟⣡⣊⣠⡾⣻⡯⠼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢠⠦⠴⠂⠒⠲⠙⠒⠶⠤⢄⡀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⣀⠀⠀⠀ ⠀⠀⠈⣧⠀⠀⠀⠀⣀⢄⣶⣿⣿⣷⣦⡄⠀⠀⠀⠈⡄⠀⠀ ⠀⠀⠀⠑⠒⠓⠒⠋⠁⠀⠀⠘⣿⠙⢹⣷⣦⣀⠀⠀⠙⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⠸⣿⣿⣿⣾⣇⠀⢄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣇⠸⣿⣿⢻⣿⡄⠸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠟⠙⡀⣿⠛⢰⢻⡇⠐⡅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡞⠀⢰⣿⣿⡃⣼⣿⣿⢧⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⢀⢠⣿⡾⣹⣽⠉⣧⣿⡎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣮⢂⣾⡿⣃⠃⠃⣸⣿⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⡡⣱⣿⢯⣾⣿⢯⢏⣾⣷⢯⡿⠁⠀⠀ ⠀⢀⣀⣤⠶⠟⡩⣾⣴⡿⢗⣽⢟⠏⣼⣽⣿⣷⠟⠀⠀⠀⠀ ⠉⠙⠫⠠⠔⠮⠬⠽⠿⠴⣟⠅⠡⠾⠧⠿⠟⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⢴⣊⣉⠱⢲⡶⠖⢾⣃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡰⠅⠁⠁⠘⠓⠀⠀⠀⠀⠁⠋⠷⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢃⠄⠀⠀⢀⠀⣠⢀⠀⣠⠀⠀⠀⠀⠘⢛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣧⠆⣀⡤⠛⠋⠉⠱⣾⣷⣿⣿⣯⣠⣆⣠⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⠸⡡⢚⡛⠁⠀⢀⣤⣾⣿⣿⡿⠁⢒⣿⡻⠻⣗⠁⠀⠀⠀⠀⠀⠀ ⠀⣽⣧⠟⠁⣴⣶⣿⣿⣿⣻⣿⡇⠀⠀⠀⠁⠀⠈⠃⠀⠀⠀⠀⠀⠀ ⠸⡍⡅⠀⣠⣿⣿⡿⠿⡟⠉⠉⣮⣖⡀⠀⠀⠀⠀⣀⡀⣀⣀⡤⠖⠀ ⠀⢇⡧⢾⣟⣿⠛⠀⣾⣤⣿⣻⡫⢵⢽⣫⣄⡪⣿⣥⣿⣿⣗⣒⠊⠁ ⠀⠀⢫⣸⣿⢋⣀⣄⣿⡿⣷⣿⢞⡚⠋⠭⢯⡿⠋⢼⣾⣿⠏⠑⠂⠀ ⠀⠀⠀⠘⠙⢜⡿⣿⣻⣯⣈⣙⡿⢺⡒⠚⣡⠄⠛⠛⣿⣶⣦⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⢷⠽⠏⠋⠹⠗⠾⠿⠗⠛⠒⠈⠉⠉⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⠿⠿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⢉⣠⣤⠶⠶⠶⢦⣤⣉⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠛⢁⣤⠾⠋⢁⣀⣤⣤⣤⣤⣀⡉⠳⢌⢻⣆⠀⢶⠶⠶⠶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢀⡴⠛⢁⣤⠾⠋⠉⠀⣀⣀⣀⣉⠙⠳⣌⠁⢿⡆⠀⣤⡤⠤⣤⣌⡙⠿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢁⣴⠋⢀⣴⠟⠁⠀⣠⡶⠛⠉⠉⠉⠙⠻⣦⡈⢧⠸⣷⠀⠀⠀⣀⣀⠈⠙⠳⣌⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⣠⡞⠁⣠⡞⠁⠀⢀⡾⠋⠀⢀⣤⣶⣶⣶⣤⡈⠻⡌⠀⣿⠀⠸⠋⠉⠉⠉⠛⠳⣮⡣⠙⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⣰⠏⠀⣴⠏⠀⠀⢠⡟⠁⠀⣴⡿⠋⢁⡤⠈⠻⣿⡄⠁⢸⣿⠀⠀⢀⣠⡤⠶⠶⢦⣄⡙⢆⠘⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⣸⠃⠀⣼⠃⠀⠀⢀⡿⠀⠀⣼⡟⠀⣴⠟⠀⠀⠀⢹⣷⠀⣾⡇⢀⣴⠛⢁⣠⣤⣤⣄⡈⠻⣮⡀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⣼⠃⠀⣼⠇⠀⠀⠀⢸⠃⠀⠀⣿⠁⡸⠃⠀⠀⠀⡀⠀⣿⣴⡟⠀⡜⢁⣴⡿⠋⠉⠉⠙⠻⣦⡈⢳⠈⣿ ⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⣼⠃⠀⢰⡟⠀⠀⠀⠀⣾⠀⠀⠀⣿⠀⠁⠀⠀⠀⣰⡇⠀⣿⡟⠀⡜⠀⣼⡏⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⣿ ⠀⠀⠀⠀⠀⢀⡾⠃⠀⣸⠇⠀⠀⣼⡇⠀⠀⠀⠀⣿⠀⠀⠀⢿⡄⠀⠀⠀⢠⡟⠀⢠⠟⠀⡾⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⣿ ⠀⠀⠀⠀⢀⡾⠁⠀⢰⡟⠀⠀⢀⣿⡇⠀⠀⠀⠀⣿⡀⠀⠀⠸⣷⠂⠀⠀⣾⠃⠀⠉⠀⢰⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡏ ⠀⠀⠀⢀⡾⠁⠀⢠⣿⠁⣀⣀⣼⣿⣦⣤⣄⣀⣀⣿⣇⠀⠀⠀⠹⣧⠀⢰⡟⠀⠀⠀⠀⢸⡇⢀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀ ⠀⠀⢀⡾⠁⣀⣤⣾⣿⡿⠿⠟⠛⠛⠛⠛⠛⠛⠿⠿⠿⣶⣦⣤⣀⡹⣧⡀⠃⠀⠀⠀⠀⠈⡇⠀⠁⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⣴⣿⠿⠛⠉⠀⣀⣠⡤⠶⠶⠶⠶⠶⠶⢦⣤⣄⣀⠀⠉⠛⠻⢿⣷⣄⠀⠀⠀⠀⠀⣧⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡿⠋⠁⣀⡴⠞⠋⢉⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠈⠉⠛⠶⣤⣀⠀⠉⠛⢿⣦⣀⠀⠀⢿⡄⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⢀⡴⢋⣡⠴⠖⠛⠋⠉⠉⠀⠀⠈⠉⠉⠙⠓⠶⢦⣤⣀⡀⠀⠉⠳⢦⣄⡀⠈⠛⢷⣦⣄⡀⠀⠀⠀⠀⠈⠛⠂⠀⠀⠀⠀⠀⠀⡀ ⢀⣴⠟⠚⠉⠀⣀⣠⣤⠶⠶⠒⠛⠛⠛⠒⠶⢦⣤⣀⠀⠀⠉⠛⠷⣤⣀⠀⠉⠻⢶⣄⡀⠈⠛⠻⠿⣶⣶⣶⣶⣶⠾⠟⠓⠀⣀⡴⢿⠃ ⠀⠀⠀⣀⡴⠞⠋⠁⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠉⠻⢦⣄⡀⠉⠛⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠋⣰⠏⠀ ⠀⢀⡴⢋⣠⡴⠞⠛⠉⠉⠁⠀⠀⠀⠈⠉⠙⠛⠶⣤⣄⡀⠀⠉⠛⠶⣤⡀⠀⠈⠛⢶⣤⡀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠉⠀⣠⠾⠋⠀⢠ ⣠⡾⠞⠋⠁⠀⢀⣠⡴⠶⠚⠛⠋⠙⠛⠳⠶⣤⣀⠀⠉⠛⠶⣤⡀⠀⠈⠙⠷⣤⣀⠀⠈⠙⠳⢦⣄⣀⠀⠀⠀⣀⣠⡴⠟⠁⠀⣀⣴⡏ ⠀⠀⠀⣠⡴⠚⠉⢁⣀⣀⣠⣤⣤⣄⣀⡀⠀⠀⠉⠛⠶⣤⡀⠈⠙⠷⣤⡀⠀⠀⠙⠳⢦⣄⡀⠀⠈⠉⠉⠉⠉⠉⠁⠀⢀⣠⠾⠋⣼⠁ ⠀⢀⣼⣯⡶⠾⠛⠋⠉⠉⠁⠀⠀⠉⠙⠛⢷⣦⣀⠀⠀⠈⠛⢷⣄⡀⠀⠙⠷⣦⡀⠀⠀⠉⠛⠳⠶⢤⣤⣤⣤⡤⠶⠞⠛⠁⢀⡼⠃⠀ ⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣤⣀⡀⠉⠛⠶⣄⡀⠈⠙⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠶⠦⢬⣭⣿⣶⣤⠀⠈⠙⠛⠳⠶⠶⠶⠶⠖⠛⠋⠁⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⢀⣀⡔⠤⡾⠟⡴⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⢤⣒⠲⠜⠋⠑⠒⠂⠒⡰⠔⢄⠈⢯⠒⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠔⢊⠔⠁⠀⠀⡆⠀⠀⠀⠠⡪⠁⢀⠄⠓⠜⠆⠍⠑⣴⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣇⠀⢲⠀⡀⠱⡀⠀⠀⢀⡇⠀⠃⠀⡠⢐⠦⢼⣄⠼⠫⣁⠀⠀⠀⠀⠀⠀⠀ ⡀⠘⢄⠀⠑⢄⠀⠐⠀⠀⠀⠇⠸⡄⣦⡗⣅⠒⣛⠣⠀⡀⠸⣤⠀⠀⠀⠀⠀⠀ ⢈⠀⠂⠅⣂⠄⡑⠤⡀⠀⠀⠀⠀⢸⡟⢹⠁⠀⠀⠙⠏⢧⠀⢹⠲⠀⠀⠀⠀⠀ ⠈⠃⢖⡒⠒⠬⢉⣓⡂⠵⠢⢀⠀⠘⡘⣎⠄⠀⠀⠀⠈⢪⣷⣌⡨⠃⠀⠀⠀⠀ ⠀⠑⣦⠄⣈⠑⠒⠐⠂⠀⠅⣢⣄⡀⠐⠨⣿⣦⡀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀ ⠀⠀⠙⠢⢄⡀⠉⣉⣀⢶⢂⣀⣀⠁⠐⢄⠀⠑⠩⡢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢄⡀⣀⣀⠀⠀⠁⠚⠒⠆⢈⡉⠁⠉⢱⠢⡁⠂⠠⢄⠁⠊⠵⠦⣄⣀⠀⠀⠀⠀ ⠄⠈⠁⠀⠈⠐⠠⡀⠢⢤⡄⠛⢋⠥⠆⠑⠨⡒⠤⢀⠑⠂⠤⢀⡀⠀⠈⠀⠒⠠ ⠀⠑⠒⠠⢀⠈⠛⠜⡂⠀⠀⠁⠂⠭⠖⣤⡀⠀⠉⠀⢚⣓⣀⠀⠀⠉⠐⠒⠂⠀ ⠀⠀⠀⠀⠈⠑⠤⠄⣀⡁⠂⠄⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢨⣵⣦⣤⣤⣠⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠖⣛⣛⡓⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢋⡴⢊⣩⠤⠤⢭⣑⢜⢧⠰⠶⠶⠦⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⠔⢡⠖⠉⣠⠔⠒⠒⢬⡳⡘⡇⠋⢉⡑⠢⢝⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⢠⠞⡰⠋⡴⠁⢀⠞⢁⣴⠖⠲⣦⡑⠀⡇⠈⠉⣉⣉⡒⢅⢳⡀ ⠀⠀⠀⠀⠀⣠⠋⡰⠁⡞⠀⠀⡎⠀⡾⢡⠞⠀⠘⣇⢸⠇⡴⢋⣥⣤⣍⠳⡀⣧ ⠀⠀⠀⠀⡰⠃⡰⠁⡼⠀⠀⢸⠀⢸⡇⠂⠀⢀⠇⣿⠏⡘⣰⠋⠀⠀⠈⢳⡔⢸ ⠀⠀⠀⡼⠁⣰⠁⠀⡇⠀⠀⢸⠀⠀⣇⡀⠀⡞⠀⠋⣸⠀⡟⠀⠀⠀⠀⠀⢻⡸ ⠀⠀⡼⠁⢠⣇⣀⣼⣧⣤⣄⣸⡆⠀⠘⣆⢰⠃⠀⠀⡟⢀⢻⠀⠀⠀⠀⠀⠀⠃ ⠀⣰⣥⡾⠟⢋⣉⠠⠤⠤⠬⣉⣉⠛⠲⢾⣦⡀⠀⠀⢸⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠠⠋⡡⢔⣊⠥⠤⠤⠤⠤⠤⣀⡈⠉⠲⢤⡈⠙⠦⣄⡘⠄⠀⠈⠳⡀⠀⠀⠀⠀ ⠠⠞⠊⣁⡤⠴⠖⠒⠒⠒⠤⢄⡈⠙⠲⢤⡈⠓⢦⣈⠙⠳⠶⠶⠶⠶⠒⢀⠴⡆ ⠀⡠⢊⡡⠴⠒⠒⠒⠒⠒⠤⢄⡈⠑⠢⢄⡈⠑⠦⣈⠙⠒⠤⠤⠤⠔⠚⣡⠞⢀ ⠜⠋⢁⡠⠔⠒⠉⠉⠉⠑⠲⢤⣈⠓⠦⣀⠉⠲⢤⡈⠙⠲⠤⠤⠤⠔⠊⢁⡴⡏ ⠀⣴⠥⠒⠚⠉⠉⠉⠙⠲⢤⣀⠈⠓⢦⡈⠑⠦⣀⠈⠓⠲⠤⠤⠤⠴⠚⢁⡴⠁ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⢬⣑⣢⣌⡙⠒⠤⠤⠤⠤⠴⠒⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⣠⡀⠀⣴⣶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠷⣼⠿⠃⠀⠈⠛⠙⠾⠃⠀⠉⠛⠛⠿⠿⣄⣠⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠛⠒⠒⠛⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣻⣷⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⢶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠨⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣼⠟⠃⠀⠀⠀⠀⠀⠀⣀⣀⣴⡞⠋⠳⠼⠛⢿⣮⣿⣿⡿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠷⢴⣶⠚⣷⡤⢤⣤⣿⠉⠋⠀⠀⠀⠀⠀⠀⠙⣿⣧⠇⠛⢳⠻⣿⣿⣤⣶⣦⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠘⡄⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⡇⠀⠉⢿⢿⢿⣿⣿⣿⣿⣧⣤⣷⣶⠄⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⠂⠘⣾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠰⣏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣿⣿⣷⠀⠹⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣿⣿⣻⣄⠀⠹⣿⣿⣿⣿⡏⢹⣿⣿⣿⣶⠀⠀⠘⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢸⠀⠀⣷⣿⣿⣧⡇⠀⢹⣽⣿⣟⠁⠀⠀⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⢿⡿⠙⠉⠛⣰⠈⣾⣿⣿⢻⠃⠀⡞⢻⣿⣿⠃⠀⠐⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢾⣿⠃⠀⠀⠀⣯⣦⣿⣿⡿⡎⠀⢰⣷⢘⣿⣷⣄⣀⡀⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢔⢿⠇⠀⠀⠀⢸⣿⣽⣿⣿⣿⠀⢀⣼⣿⡿⢻⣿⣿⣿⠀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣫⣿⡏⠀⠀⠀⢀⣯⣿⣿⣿⣧⡏⡆⣨⣽⣷⢇⡿⣿⣿⠏⣸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⠏⠀⠀⠀⠀⢀⣿⣾⣡⣿⠏⢸⣹⣠⣧⠃⠈⣾⢀⡾⣿⣷⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣏⠀⣠⢀⡄⢀⣾⢿⣷⡿⡞⢀⢷⣯⢷⡏⠀⢈⣱⢷⡿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣹⣿⠃⣼⢃⡜⠀⣼⢯⣻⣿⣾⠀⣾⠏⢞⡞⠀⢀⣾⣻⡾⣱⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⡷⣾⢫⣟⠀⣸⢳⣿⣿⡟⢁⣦⡟⠀⠞⠀⠀⣾⢏⣿⣳⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠸⠋⣰⣟⣱⢻⢏⢺⣷⣿⣿⣿⢣⣿⡟⢀⣶⡦⡤⣼⣿⠾⢭⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢿⠟⢀⡴⢂⣼⣿⣿⡿⢣⣿⣿⣿⣿⣿⡷⢰⡟⢐⣾⣿⣿⣿⡿⣱⣣⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣟⣡⣴⠋⢠⣾⣿⣿⡿⣠⢞⣽⣿⣿⣿⡿⢀⠏⡴⣸⣿⣿⣿⠟⣁⣴⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⠿⠋⠀⣴⣫⣞⣴⣿⣫⣿⢟⠔⢁⣾⣿⠿⢟⡜⠁⢉⣜⣤⣿⣿⡿⣷⣿⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣠⣤⣶⣾⣿⣿⠟⠋⠁⢁⢀⡠⠞⣵⠿⣿⣿⢿⡽⠃⢀⣴⣿⡿⠫⣤⠋⢀⣴⣯⠞⢽⣧⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠙⠳⣯⣉⡀⢀⡠⣲⢕⡋⣀⢜⣁⡴⣫⣶⠟⣠⣔⣿⣿⠟⡡⢚⢅⡴⡿⣾⡟⣠⣾⣿⣷⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠑⠊⠳⠋⠓⠋⠊⠙⠉⠀⠙⠊⠶⠋⠋⠑⠱⠋⠘⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⣰⣶⡄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠉⠓⠻⠟⠋⢹⠾⠟⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠤⠤⠴⣒⡾⠛⠙⠺⣆⡤⢤⣠⡴⠖⣶⣀⣄⠀⠈⠙⡟⠲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠞⣉⠴⠒⠊⠉⢁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠉⠀⠈⠓⣄⠀⢸⡄⠀⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠚⠉⣠⠞⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡜⡽⠁⠀⠀⡠⠔⠚⠧⠞⠳⣆⣤⠀⠘⢧⡶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠊⠀⠀⢀⡀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠈⣻⣶⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣧⠀⠀⠈⣇⠀⢠⠀⠀⢳⡀⠀⠀⠀⠀⠀⣿⠀⠀⣸⠀⠀⠀⣠⠖⢉⡿⠖⠺⠿⣶⠴⠻⡌⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠈⢦⡀⠁⠀⠀⠙⢄⠀⠀⠀⠀⢹⠀⠀⣿⠀⣠⢀⣇⡜⢁⠤⠤⠼⠯⣅⠀⠀⡇⠀⢸⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠧⡀⠀⠙⠦⣀⠀⠀⠙⠢⣀⠀⠀⠀⠑⢄⠀⠀⠈⠁⠀⠙⢠⣿⢸⡟⣰⡷⠒⠒⠒⢤⣬⣧⢠⡇⠀⠀⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠑⠢⢌⣙⠲⠤⣀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⢃⡿⠀⠀⠀⠀⠀⠙⢯⠉⢻⡀⠀⠀⣡⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⢷⣤⣀⣀⣀⣈⡉⠒⠀⠽⢶⣤⣈⠓⠤⣀⠀⠀⠀⠀⠀⢸⡛⢧⢸⢇⠀⠀⠀⠀⠀⠀⠀⠳⣼⡿⣄⡀⢹⡒⢶⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠤⣀⡀⠈⠙⠒⠤⣄⣀⣈⣉⣒⠊⠑⠢⣄⠀⠀⠀⢧⠈⢿⡌⣆⠀⠀⠀⠀⠀⠀⠀⠘⣶⣿⣿⣼⡇⠾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢦⣤⣀⡀⠈⠉⠑⠦⠤⣄⣠⣤⣄⣀⣉⠑⠢⣀⡁⠀⠀⠈⠣⣈⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣷⠉⠑⠒⠤⢄⣀⣀⣀⠀⠀⠀⠀⠈⠓⠂⠭⢵⡆⠀⠀⠈⠛⠷⢿⡝⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠲⢄⣀⠀⠀⠀⢀⡀⠉⠉⢻⣶⣂⠀⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀⠙⠢⣙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠦⢌⣛⠭⣉⣐⠓⠻⠯⠭⠭⠽⠶⠶⣄⡈⠑⠦⣀⠀⠀⠀⠉⠢⢍⡓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢄⡀⢠⣄⣀⣀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠀⢀⣀⣀⡀⠀⠀⠀⢹⡙⢦⡀⠀⠉⠉⠒⠢⡀⠀⠈⠑⠒⠛⠷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⡀⠀⠈⠉⠁⠀⠀⠈⠑⠢⣀⠀⠀⢠⣀⣀⣀⣀⡿⠿⠏⠉⠒⣤⣀⠙⢦⡈⠲⢄⡀⠀⠀⠈⠲⢄⣀⠀⠀⠀⠀⠀⠉⠉⠉⠒⠢⠤⣀⡀ ⠱⢄⠀⠀⠀⠀⠀⠀⠀⣄⣀⡙⢦⡀⠈⠑⠻⠤⣀⠀⠰⢯⣉⡁⠀⠀⠀⠈⠒⠤⣈⡙⠲⠤⣀⡀⠈⠉⠒⠢⠤⢄⣀⡀⠀⠀⠀⠀⠀⠉ ⠀⠀⠉⠋⠑⠢⢄⡀⠀⠀⠉⠻⢍⡉⠀⠀⠀⠀⠀⠉⠓⠢⢤⠭⣕⡢⣄⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠒⠒⠦ ⠀⠀⠀⠀⠀⠀⠀⠨⣶⡄⠀⠀⠀⠈⠑⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠂⠀⠀⠀⠀⠀⠈⠉⠉⠉⠒⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠑⠒⠠⠤⣀⣀⠀⠉⠑⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⣛⣿⣋⣻⣛⣲

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠶⠶⢦⣤⡀⣀⣀⣀⣀⣀⡀⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡋⠀⠀⠀⠀⠀⠼⠟⣻⣶⣾⣽⠋⠹⠿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠡⠞⢻⠟⠛⠯⣅⣀⠀⠀⠉⠉⠀⠁⠀⠀⠀⠻⠟⠷⢦⣶⣶⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣁⡄⠀⠀⠀⠀⠀⠀⠙⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⢾⣿⣽⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢁⣿⣇⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠀⡶⠚⠀⠀⠀⠀⣀⠀⣠⣤⡀⠀⣴⢷⠀⣷⣀⠀⢠⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⢡⣼⠁⠀⠀⠀⠀⣾⣿⡿⠿⠋⠛⠓⠿⣦⣤⣿⣿⣷⣾⣿⣿⣶⣿⣿⠃⢀⠀⣶⣀⡄⠀⢻⣿⣿⣶⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣧⡿⠃⠀⢠⢶⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⡿⢅⣵⣶⣤⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠟⠀⣰⣾⠿⣻⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⠿⢉⠉⣹⡿⢿⣿⣯⣯⢉⣟⡋⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⠏⣴⠞⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢠⣤⣤⣿⣿⣿⣿⣿⣿⣿⣹⠃⠀⠘⢁⣽⣯⣯⡅⠼⠏⠸⢿⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣇⣿⠏⠀⣼⣿⡾⠃⠀⠀⠀⠀⣠⣄⣟⣿⣿⣿⣿⣿⣟⣻⣿⣿⡏⠀⠀⠀⠈⠉⠃⠙⢿⡆⠀⠀⠀⠉⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⡟⡗⣰⠿⠛⠀⠀⣀⣐⢻⣞⣿⣿⣿⣿⣿⣿⣾⡟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣫⣿⣷⠃⠀⠀⠀⠀⢳⣾⣿⣿⣿⣿⣿⡿⢿⣟⣿⣷⣿⣿⣿⡟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⡄⠀⣬⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⡿⣮⣿⡏⠈⠀⠀⠈⣿⣮⣳⡄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡆⠀ ⠈⢻⣇⢠⠏⠀⠀⠀⢸⣿⣯⣿⣽⣿⣿⣿⠛⠙⠻⣿⠀⢀⣀⢀⠀⣿⣿⣿⠿⣢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⢶⣆⣀⣤⣤⣴⣶⠿⠟⠋⠁⠀⡀ ⠀⢸⣏⣸⣤⠄⣴⣾⣿⢿⣿⣿⣿⠿⠉⠀⢠⣴⣗⡀⢀⣼⣿⣿⣿⠿⣞⠋⠳⢜⣳⢽⣛⣓⢀⣀⣶⣚⣻⣿⣿⠀⠘⣿⣿⣿⣿⡯⣴⣖⡷⢴⠚⠋⠀ ⠀⠈⠻⣼⢿⠘⠛⡟⢿⣄⢿⣿⡇⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣷⡿⣷⡈⠳⢶⣚⠻⣷⣾⣿⣿⣧⠬⠿⣿⣿⣉⣿⣷⣿⣿⣿⣿⣿⣷⣤⠤⠀⠀⠀⠀ ⠀⠀⠀⠸⣾⠛⠀⣷⣿⣾⣿⠷⠂⠀⠀⠀⢹⣿⣿⣿⣿⣿⣯⣿⣝⢮⡙⢯⣅⡛⠻⠷⠿⢿⣿⣿⣿⣿⣿⡟⠉⢹⣿⣽⣿⡿⣿⡶⠶⠶⠂⢀⣤⠀⠀ ⠀⠀⠀⠀⠘⣇⡀⢻⣻⡟⠀⢠⣤⣤⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⡟⢿⣮⣍⠉⠉⠉⠛⠲⣶⣿⣿⣿⡿⠃⠀⠲⠟⣿⣷⣾⣻⣿⠿⠀⠈⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠻⣼⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⢻⡷⣌⠛⢿⢿⡛⠶⣬⣍⣑⣂⣀⣀⣠⣶⡶⠟⠉⠀⢀⣷⣶⣿⣟⢛⣛⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠋⠛⢦⣀⣿⣿⣿⣿⣏⣿⣷⣝⣌⠳⡀⢀⠙⣖⣾⠟⠻⣟⣉⣉⣉⣉⣀⣀⣤⡖⠋⠉⠙⠛⢿⣿⣋⣿⣶⣶⣦⣤⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣯⡿⣯⢿⡛⢫⣛⣻⣾⣿⣿⣴⡯⠷⣤⣄⠙⢻⡧⢤⡴⠶⢛⣁⣠⠄⠀⠀⢀⣠⣿⣿⣾⣿⣿⣭⡿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠾⢾⣿⣶⣬⣿⣿⡽⠟⠀⠀⣼⣿⡟⠿⣦⣿⣦⣽⣾⠿⠷⠖⠛⠛⠋⠉⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠉⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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ᐠ⸜ˎ_ˏ⸝^⸜ˎ_ˏ⸝^⸜ˎ_ˏ⸝ᐟ

⋅.˳˳.⋅ॱ˙˙ॱ⋅.˳˳.⋅ॱ˙˙ॱᐧ.˳˳.⋅

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠶⠶⠶⢤⣤⣀⣠⣤⠶⠶⠶⢦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠶⠶⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⢲⣼⣼⠛⠋⠉⠛⠳⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣤⡄⣐⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣾⣩⠟⠀⠀⠀⠀⠀⠘⣷⣄⡀⠀⠀ ⠀⠀⠀⢀⣼⠏⠀⠀⠀⣏⢹⢉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⡿⢳⡆⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⡀ ⢀⣴⠞⠋⠉⠀⠀⠀⠀⣹⣾⣾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣾⣵⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷ ⣼⠃⠀⠀⠀⠀⠀⠀⠀⢷⣸⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣿⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣿⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟ ⠹⣦⡀⠀⠀⠀⠀⠀⠀⠸⣆⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢹⣡⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀ ⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⢨⡿⡟⢳⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⡤⠀⠀⠀⠀⠀⠘⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣶⠾⠋⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣼⠀⠀⠀⠀⠀⠀⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⢻⣿⡟⠀⠀⠲⡄⠀⠀⠀⢠⡺⣧⢶⣄⣀⣀⣀⣀⣤⠾⠃⠀⠀⠀ ⠀⠘⢷⣄⡀⠀⠀⢀⡀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⠀⠀⣰⡟⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⢠⠤⠒⠚⠛⠿⣟⠋⠙⠳⠶⠞⠛⠉⢷⣄⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢨⣤⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠉⠛⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣦⣤⣤⠶⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠲⢄⡠⠤⠀⠀⠀⠠⠬⠿⠛⠚⠛⣻⡶⢂⠀⣀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠃⠀⠀⠀⠈⣧⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠤⣄⣀⠀⠀⠀⠀⠀⠀⡸⢹⡇⠸⣧⣿⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⠓⢄⠀⠀⠀⢇⠸⣇⠀⠈⠉⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⣸⠀⠀⢀⣸⠄⠹⢶⡶⠞⠛⠛⠷⠶⠞⠃⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⠤⠤⠖⣊⡽⠀⡴⠁⠀⠀⠀⠀⠀⠐⠠⠤⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠋⢉⡝⠲⢦⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⢀⡴⠚⢡⣤⣤⣴⣾⣷⣷⣨⢷⣀⡀⠀⠀⠀⠀⠹⢿⣿⣿⡿⠋⠀⠀ ⠀⢀⣠⠴⠋⠀⠀⠘⣟⡛⡽⡹⣫⣿⣴⣤⠿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠁⢰⡦⡄⠀⣤⠌⣷⣷⣷⢣⠟⠛⠻⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⢰⣾⣶⣦⢿⣭⣆⡻⣿⣿⣿⣻⣸⡀⠀⠃⠿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁ ⢸⣿⢿⣿⣎⢿⢿⣿⡿⠛⠛⠳⣿⣧⡀⠰⣿⠂⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⢀⠾ ⠀⠙⢿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠙⠿⣦⣄⣀⡀⠀⣀⣀⣠⠴⠚⣁⡠⣾⣯⢟ ⠀⠠⣄⣀⣀⡀⠲⡄⠰⠒⠃⡴⣶⣦⡐⢄⣯⣍⡛⠛⠉⢉⡀⢀⣩⠵⠶⠛⡵⢛ ⠀⣤⣾⠛⣟⣹⣦⣒⣢⢿⣾⣧⡸⢙⠿⣶⣷⣬⣊⣳⣿⣽⣟⡟⠛⣋⣒⣓⣒⣪ ⠀⠿⠃⠀⠹⠿⠿⠧⠴⠶⠾⡿⠇⠤⠕⠚⠿⠿⠟⠻⠛⠭⠥⠶⠭⠭⠤⠤⠤⠤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡿⡿⣻⣛⣻⣿⣿⣻⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⡏⣑⣴⣿⠾⣿⣻⣿⣿⣻⢷⣧⣎⣻⣷⣄⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠻⢁⣵⡾⣛⢛⣢⣾⣿⣾⣿⣷⣮⣷⣤⡛⢳⡼⣿⡆⠀⣿⣿⣿⣟⠿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣫⢟⣼⣟⣏⣥⣽⣟⢫⢻⣯⣘⣿⣿⣯⣘⠉⠻⣮⡙⣿⣿⡄⠰⣿⣶⣿⣷⣶⣽⣝⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢿⣕⣴⠟⠑⣡⣾⡏⢙⠒⣤⣿⠟⢻⠯⡝⢻⡙⠻⣦⡌⢻⡆⢿⡇⠀⢧⣝⣦⣍⣋⡹⡟⣶⣬⢻⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⣰⣿⠃⣬⣼⡿⠱⠘⢪⣾⠟⣭⣙⣾⣶⣿⣾⣦⣄⠈⠻⡆⠃⢸⣷⠀⡶⢿⡻⡏⡟⠛⠳⢿⣮⣣⠙⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⡇⣵⠟⢡⣣⡿⢹⢄⡁⣹⣾⢯⠋⣰⣿⡿⠛⠉⠉⠙⢿⣷⡄⠹⠀⣼⡟⠀⡛⣆⢳⣸⣦⣤⣤⣄⡙⠳⣆⠘⢿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠠⣾⣯⣙⣰⣿⡓⡘⠀⢾⣿⣟⠐⣺⣿⠏⠀⣰⡿⠱⡄⠀⢻⣷⠀⢀⣿⡇⠀⣽⣿⡟⣯⣉⣁⠉⠉⠻⢶⣌⠆⠘⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡇⢥⣿⡏⠰⣴⣿⣉⡟⣥⢻⣿⡷⠴⣹⣿⡏⠀⣾⣿⣗⢫⡙⠂⠀⣿⡆⣸⡟⠀⣸⠟⢳⣽⣿⠿⠛⠿⣷⣦⣄⠙⣧⠀⢻⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡽⢰⣾⢿⣠⣽⣿⣉⡼⣿⠳⣾⣿⠱⢾⢹⣿⠀⢰⠓⡇⣽⣐⢆⣷⠀⢿⣷⡿⠁⣰⢇⣩⣿⠟⠁⠀⠀⠀⠀⠙⢿⣷⡈⠧⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⣴⡿⢯⠗⣽⢟⠘⠆⣿⡿⢞⠆⢉⢘⣹⡇⢂⠨⣼⣿⡀⠘⢣⢁⢶⣩⣿⣇⡀⣿⡿⠁⣰⣋⣷⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⢸⣿ ⠀⠀⠀⠀⠀⠀⣼⢟⣴⢨⣼⣯⠼⢈⣉⣿⠶⢨⡜⣦⠸⢸⡷⠆⠶⢨⣿⡇⠀⠸⠌⢽⣿⡿⠎⢠⠟⠀⢰⣿⢯⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⢸⣿ ⠀⠀⠀⠀⠀⣼⣿⣽⢘⣾⣿⡤⠃⠶⣿⣿⣉⢳⠘⣀⠓⣾⣷⣩⣉⣖⠚⣿⡀⠀⢟⣿⣿⠷⡉⠀⢀⡒⣾⡏⣬⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠃ ⠀⠀⠀⠀⣼⣿⢇⢿⣰⣿⣟⢰⣍⣼⣿⣿⣴⣎⣙⣶⣨⣿⣿⣇⡰⠎⣘⢻⣷⡀⠀⢹⣟⡂⢦⣰⠊⣙⣿⠱⠘⣪⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠏⠀ ⠀⠀⠀⣼⠿⠙⣌⣤⣿⣿⣿⣿⠿⠿⠟⠛⠛⠻⠿⠿⠿⣿⣿⣿⣿⣼⣄⡂⠿⣷⡄⠘⠷⠵⠆⣥⢳⡄⣿⣉⠰⠏⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣏⣼⣿⣿⠿⠟⠋⠁⠀⣀⣀⣤⣤⣤⣮⣤⣤⣄⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣆⠀⠁⠱⡆⢂⣘⣿⡇⠦⣉⡙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⡿⠟⠉⠀⣀⣠⣶⠾⡟⠯⣭⣯⣻⠻⣬⢳⣝⠏⣭⣿⣿⠷⣦⣄⡀⠀⠈⠙⠿⣷⣦⡀⠀⠒⠈⣻⣟⠱⣆⠶⠉⡿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡿⠋⠀⣠⣴⠛⣯⣨⣼⣶⠿⠿⠿⠟⠻⠿⠿⠶⣿⣿⣼⣳⠏⢩⡘⠻⣛⢷⣦⣀⠀⠀⠙⠻⣷⣤⣀⠈⠛⠋⠌⣓⢶⡁⠟⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣾⣭⠶⠟⠛⠉⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠉⠛⠛⠷⢶⣯⣤⣭⢻⠛⣿⣦⣄⠀⠀⠙⠿⣿⣦⣄⣀⡀⠀⠀⠀⠀⢀⣀⣤⣀⠀⠀⠀⢀⣤⠀ ⠠⠿⠛⠁⠀⠀⣀⣤⣶⠿⢟⡛⢻⢯⣍⣹⣍⠹⢟⡻⢷⣦⣄⣀⠀⠀⠈⠛⠻⢮⣅⡹⡈⠹⢻⣶⣄⡀⠀⠉⠛⠛⠿⠿⠿⠿⠿⠟⠛⠋⠁⠀⣠⢾⣯⡟⠀ ⠀⠀⠀⣀⡴⣟⣋⠥⣸⣐⣯⣿⣿⣽⣾⣽⣯⣟⣇⣛⣜⣛⣎⠿⢿⣶⣤⣀⠀⠀⠉⠻⢷⣼⣃⠓⡙⡛⣷⣤⣄⣀⡀⠀⠀⠀⠀⠀⣀⣠⣴⠟⡙⣸⡿⠁⠀ ⠀⢀⣴⣟⣤⣽⠾⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣤⣑⣲⠹⣬⠛⠷⣦⣄⡀⠀⠈⠛⠷⣤⣩⡍⡛⢛⠻⣟⡛⠿⣻⢟⡛⢛⠥⣀⣣⡾⠋⠀⠀⣀ ⣠⡿⠾⠛⠉⠀⠀⢀⣠⣤⡶⣿⢟⢿⢿⡛⣿⢷⢦⣤⣀⠀⠈⠙⠻⢷⣦⣝⠛⢿⠽⡻⣷⣄⡀⠀⠀⠙⠻⢿⣮⣔⣦⣝⠚⣾⢤⣗⣭⡶⠟⠉⠀⢀⣠⢾⠇ ⠀⠀⠀⠀⣠⡴⡞⢫⠹⢤⡟⣨⣿⣜⣳⣿⡛⢯⣃⠠⢽⣛⣶⣄⣀⠀⠈⠻⢿⣼⡊⢋⠹⣭⣻⢷⣤⣀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠁⠀⠀⢀⣴⢟⣋⡿⠀ ⠀⠀⣠⣾⣻⣤⡵⠿⠿⠛⠛⠛⠛⠛⠛⠛⠿⢷⣮⣷⡸⠨⡝⣟⣻⢷⣤⡀⠀⠈⠛⢷⣶⣰⠈⠦⡛⠻⠿⣶⣤⣄⣀⣀⣀⣀⣀⣀⣤⣴⢾⠿⡱⣨⡿⠃⠀ ⠀⡼⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣼⣿⠭⢻⣙⠿⣷⣤⡀⠀⠈⠛⢿⣦⣅⢂⡗⠶⢬⣋⣉⡟⣟⢛⡛⡿⣿⣳⢙⣾⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢶⣯⣴⣤⣹⣛⠷⣤⣄⡀⠈⠙⠻⠶⣧⣼⣀⣭⣠⣬⣘⣝⣧⣼⡾⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠓⠛⠛⠛⠓⠂⠀⠀⠀⠉⠉⠉⠙⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

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⡷⠦⢠⣴⡶⡤⣤⢀⣸⣿⠇⠀⠐⢰⠏⠀⢰⠇⢹⣿⡤⠾⡇⢠⣤⣄⠋⠀⠀⡁⠀⠀⠲⠄⠀⠀⠀⠉⠛⠛⠁⠈⠛⣩⣿⡿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠀⡀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡧⠄⠛⠁⠀⠀⠿⣾⣿⣿⣿⣤⣀⣼⡀⣠⡾⠁⠀⣿⡀⠰⠷⢿⠛⣿⣶⣦⣀⣷⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⣀⣤⣽⣿⣷⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠗⠀⠀⢀⠂⠀⡾⠙⢻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠐⠛⣿⠗⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣆⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣆⠀⢰⠄⠀⠀⠁⠀⣺⠛⠻⣿⣿⣿⣿⣿⣤⣀⠀⠀⠛⠀⠀⠀⠀⠀⠈⣿⠋⢑⣾⣿⣿⣿⣿⣿⣿⢿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣿⣿⣷⢂⣤⣶⣰⢿⣿⣿⣿⣿⣿⣿⡿⠂⠅⠀⠚⠀⢷⡀⠈⠀⠀⠘⠃⡀⠀⢹⣿⣟⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⡷⣿⡿⢿⡟⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣇⠀⣠⣀⠁⣸⣷⣿⣄⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢠⣿ ⠟⠉⢻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣋⠛⣷⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⢿⣿⣧⡉⣿⣿⣿⣟⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣠⣶⡟⠋ ⣠⡴⠞⢁⣀⣼⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣟⣿⣛⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣷⣾⡿⠁⠀⠀ ⠁⠀⠀⢸⣿⠛⠛⠉⢙⣻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⡿⠟⠀⠀⠀⠀ ⠂⠀⠀⠸⡟⢳⣆⣹⡟⠛⠿⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⡿⠏⠁⠀⠀⠀⠀⠀ ⠀⠀⠐⢀⣸⣄⣽⣿⣷⣤⡴⠟⠂⠉⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡻⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣀⣀⣀⣠⣄⣤⣤⣴⣦⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣾⣾⣿⣿⣽⢿⣿⣿⣧⣴⣴⣶⡿⠄⠀⠀⠉⣙⢻⠿⣿⡿⠿⠿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⡚⠙⢳⡆⠀⠀⠀⠀⠀⠀⠈⢿⣌⠙⠻⢿⣿⣶⣴⣶⣖⣡⣴⣏⣿⣾⣷⣶⣷⣮⡱⢂⣖⡑⣆⡔⣦⣶⣾⠟⠋⠉⠛⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣾⣿⠟⠋⠀⠀⢀⣀⣴⣶⣦⣄⣀⣶ ⣿⣉⣿⣇⣿⣿⣿⣦⣝⠻⣿⣿⣧⠍⠀⠀⢀⣤⠦⣿⣶⡄⢳⣴⣶⠗⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠉⠛⠛⢾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣛⣻⡿⠟⠁⠀⠀⠰⢶⣏⢹⣁⣀⣘⣿⣿⣿ ⣿⣧⣿⣿⣿⣿⣿⣿⣿⣷⣄⣛⣿⣷⣿⣶⣿⣻⣿⣿⣿⣿⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⢻⠟⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⢀⣠⢀⡝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣁⢀⣤⣀⠀⠀⠀⡀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢋⣁⣤⡾⠟⠉⠀⢀⠀⠀⣀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⠿⠛⠋⠉⠛⠻⠿⠷⠖⠛⠋⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⠀⠘⢻⣽⠿⡄⠀⠙⢳⡆⠻⣦⡀⠠⣤⣄⡀⣀⣀⠈⠻⣆⠘⣧⠀⠀⠀⢉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣉⡙⠻⣿⣿⡿⣧⡤⣾⢿⢶⣦⣤⣀⢨⣙⣿⣿⡟⠋⠁⠀⣀⣵⡶⠟⠋⠁⠀⡀⣀⠀⢸⠛⢾⣿⣷⣤⣤⣾⣿⠿⠛⠛⠻⠿ ⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠈⠉⠙⢳⣄⠀⠀⠀⠀⢠⣾⣿⠟⠋⠙⣷⠿⢿⠀⠁⠀⠀⠸⠗⠈⠘⢿⡄⣿⡉⠩⠉⠙⣆⠀⠻⣦⡘⣷⣄⠀⠀⢠⣀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣿⣟⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠾⠛⠉⠁⠀⠀⠐⠆⢤⣦⣼⣷⣿⣿⣿⠿⠟⠛⠉⠡⠄⠒⠒⠛⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣡⣤⣀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⢻⠷⣶⣤⣦⣨⣥⡇⠶⢿⠛⠃⠀⠀⠀⠀⢆⠀⠀⠈⢑⣆⢈⠃⠹⣿⣷⡀⠁⢻⡄⠀⠙⢷⣼⣿⣷⡀⠈⢿⣷⡄⠀⠀⣄⠀⠈⠉⠉⠙⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠷⠟⠛⠛⠋⠉⠁⠀⢀⣀⣠⣾⣿⣭⣤⣤⣼⡶⠿⠟⠛⠉⠉⠁⠴⠒⠂⣨⣽⣷⣶⣶⣶⣶⠾ ⠀⠒⠂⠀⠐⠒⠂⠀⠀⢸⡟⠁⠈⢹⣆⠀⠀⠀⠀⢠⡶⠻⠦⠐⢀⠀⠀⣄⠈⢻⣁⠈⠉⣆⠀⠀⠀⠀⠁⠀⠀⠙⠳⠀⢀⡾⠁⣿⣀⠀⣿⣻⣷⣄⣈⣿⣶⡄⠀⠙⢿⣿⣷⣄⠈⣿⣿⣧⡀⠹⣧⣀⠀⠠⢄⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠄⠤⠒⠒⠚⠒⠂⠉⠋⠉⠉⠉⠉⠉⠱⠶⣶⣤⣤⣤⣤⣤⣦⣤⣾⣽⣿⣿⣿⣿⠿⠋⠁⡰ ⣶⠶⠶⣄⣠⠐⠀⡰⣦⠸⠃⠀⠀⢀⣿⣤⡀⣠⡶⠯⠁⠀⠀⠄⡀⠀⠀⠈⣷⠀⠉⠛⠛⢻⡆⠀⠄⠀⣄⠀⠀⠀⠀⠀⣾⠁⠀⢿⣿⣷⣿⣷⡎⠻⣾⣿⣮⣿⣄⠀⠀⠉⠿⣿⣶⣘⣿⣿⣿⣦⡙⢿⣷⣄⠀⠙⢶⣄⠀⠀⠀⠀⠠⣤⣀⠀⠀⠀⠀⠀⠰⣤⣀⠀⠀⠤⢤⣤⣤⣀⡀⠀⠀⢀⣈⢉⣝⣛⣛⣛⣛⣻⣿⣿⠋⠁⠀⠰⠿⣷ ⠀⠀⠀⠈⠉⠉⣉⠀⠖⡀⠀⠀⣄⠿⣿⣿⣷⣏⠀⣄⠀⠀⠐⠀⠀⠀⠴⠞⠛⠐⠀⠀⠀⠀⣿⡀⠈⠀⠀⠀⠀⢤⠀⠀⠟⠠⡀⠘⣿⣿⣿⣿⣿⣄⠈⠹⣿⣿⣿⣷⣦⣄⠀⠈⠛⠿⣿⣿⣿⣿⣿⣎⠻⣿⣿⣦⡀⠈⠳⢄⡀⠀⠰⣤⡉⠻⢦⣄⡀⠀⠀⠈⠛⠷⣶⣤⣀⡀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢈⣵⠿ ⣤⣤⣿⣛⣒⣿⣿⣿⣿⣼⣶⣾⣿⣿⣿⣿⣿⡅⠀⠀⠀⠠⠀⠀⠀⣀⡀⠀⠀⠀⢲⠀⠀⠀⠈⢹⠁⠂⠀⠀⠀⠘⢣⡄⠀⠀⢻⡄⠘⣿⣿⣟⣿⣿⣷⣄⠀⢾⣯⣛⠿⣿⣿⣷⣦⣤⣤⣈⠻⣿⣿⣿⣷⣮⣙⣿⣿⣷⣤⣀⠈⠢⠄⠀⠻⣷⣶⣤⣀⡀⠀⠙⢶⣦⣤⣍⣛⣿⢿⣿⣶⣶⣶⣶⣴⣯⣽⣿⣿⠟⠁⠀⢀⣀⣀⣠⡾⠋⣁⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢤⠀⠀⣿⠀⠀⠀⠼⠀⠀⠀⠀⠋⢠⣤⣤⡀⢠⣶⣿⡁⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣜⠻⣿⣛⣻⣿⣧⡙⢛⠿⠿⣿⣶⣿⡛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⠀⠀⠙⠻⣿⣿⣷⣦⣄⣈⣛⡿⢿⣿⣿⣶⣤⣩⡍⢛⣿⡿⠟⠉⠀⠀⢀⣠⣾⣿⣯⣥⣤⣼⣿⣿ ⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣯⣤⣤⣾⣏⢻⣿⣦⣤⣈⠀⠀⠈⢻⡄⢀⡾⠂⠀⠀⠀⠄⠘⣿⣿⣷⣿⡟⢻⣷⣄⡀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⣌⠉⠉⠙⠿⠿⣿⣿⣿⣔⣶⣿⣿⣷⠖⠢⠍⠉⠙⠛⠻⠿⠿⡿⣿⣿⣶⣤⣀⣀⣽⣿⣿⠿⣿⣿⡿⣿⣿⠿⣿⣿⣿⠿⠛⠉⠀⠀⠀⢀⣾⡛⢁⡀⣉⠈⡉⠉⠉⠉⠹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣦⡀⢹⣅⣂⣀⢀⣀⢀⣂⣀⠄⠈⢻⡿⢿⣿⣯⣿⡯⠁⠐⣦⣄⠀⠐⠀⠉⠻⢿⣿⣿⣿⣿⣿⣷⣦⡐⠀⠀⠀⢈⠈⠉⠉⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠉⠻⢿⣬⣿⣷⣿⣿⣦⣾⣿⠿⠟⠋⠁⠀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⠈⠉⡀⠰⣿⣄⠉⠁⠀⠀⣨⣅⣀⣙⡛⢿⣿⡸⣦⣿⣿⣧⡄⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⣁⡂⢄⠂⠐⡈⠁⠐⡀⠐⡀⢤⡀⠶⠀⠤⠀⣄⣀⣤⣤⣀⣤⣀⣤⣤⣼⣿⠿⠾⡟⠉⠀⠀⠀⢀⣀⣉⣭⣥⣶⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠋⠀⠘⢛⣿⣿⣿⣿⢰⣿⣶⣿⣿⠿⠟⣿⣾⣿⣷⣽⣿⣿⣿⣗⣄⣀⣀⠰⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣦⣭⣤⣬⣭⣵⣮⣷⣬⣥⣾⣷⣿⣯⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣯⣽⣧⢀⣴⣾⣿⣿⣼⣿⣿⠠⣿⡿⡏⢀⣀⠂⠀⠋⠉⠉⠙⢿⣿⣿⣯⣿⣿⣄⣀⡀⠀⣠⣄⣀⣴⣭⠍⢿⣛⣿⣿⡿⣿⠿⡿⣿⠿⢿⢿⠿⠿⠟⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⡀⠀⠀⡀⠀⠄⢀⠀

⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠧⡇⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⡤⡆⠦⠆⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠧⣷⣆⠅⢦⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠀⠀⠀⠀⠀⢤⣤⣆⢇⣶⣤⡤⡯⣦⣌⡡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠷⣿⣷⣆⣐⡆⠀⠀⠀⠀⢀⠤⠊⠀⠀⢀⣠⣾⢯⣦⣴⣜⣺⣾⣿⣤⠟⠋⣷⢛⡣⠭⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠯⣿⣷⢫⡯⠄⠀⠀⢀⠐⠁⠀⠀⠀⠠⣤⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣙⣷⡗⢤⡤⠀⠈⣰⠶⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣩⣿⡏⠉⠉⠀⢠⡔⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠑⣏⠶⡉⠖⣡⠂⣈⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣮⣿⣧⣤⣤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⡻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠓⠈⠅⠈⠀⠀⠘⢒⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠛⠉⠀⠀⠀⣀⠔⢀⡴⣃⠀⠀⢀⠷⠲⡄⠸⠟⢋⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠁⠀⠀⠂⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⣷⣆⡐⠶⠤⢤⣷⣀⣀⣩⢐⣟⣥⠜⣤⣀⣠⣤⠀⠈⠉⢀⣹⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢃⣿⣞⣫⡔⢆⡸⡿⣿⣿⣄⣰⣿⠁⢀⣛⠿⣻⣿⣿⣧⣬⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀ ⢼⣿⣟⢿⣧⣾⣵⣷⣿⣿⣟⡿⢿⣶⣞⣍⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⠈⠀⢀⣀⣼ ⠋⣿⣟⡛⢿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⠟⠛⠿⢽⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⡠⣤⣤⣰⣿⠟⠁⠀⠀⡼⢾⣿ ⣻⣿⣟⣇⠈⣉⣯⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣴⣶⣤⣤⣤⣤⣴⣴⣴⣶⣦⣦⣤⣦⣀⣦⣤⣶⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⡀⣤⣬⣾⣿ ⡝⣿⣿⣇⣤⣶⣿⣷⣾⣭⡿⠻⢿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⡄⠀⠀⠀⢊⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⠟⢉⠀⡀⢤⣴⣿⣿⣿⠿⠻ ⡁⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⠾⣿⡿⠞⠁⠀⠀⠀⠀⠀⠔⠫⡅⠀⠀⠀⠀⠁⣀⠀⠈⠻⣿⣿⣿⣿⣻⢟⣁⣄⡄⣀⠙⠻⣿⣿⡿⠿⠛⡋⠕⠂⢀⣀⣄⣓⣳⢿⠟⢛⣩⠴⠈⠀ ⠂⡁⠈⠛⠛⠛⠛⠋⠁⠀⠈⠈⡀⠀⠀⠀⠀⢀⠘⠀⠀⠀⠆⠀⡀⡢⣀⣆⠄⠈⠨⢦⡀⣈⠙⠛⠿⢿⣿⣿⣿⣿⣿⡿⡿⠿⠟⠆⠒⠁⠀⢶⣾⠿⠟⠛⢉⣀⣠⡶⠚⠁⠀⠀⣠ ⠀⡇⡄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢬⠠⠀⡀⠀⠋⠁⠀⡀⠀⠀⡀⠆⢱⣿⣿⣧⣧⣄⠛⣿⣞⣵⣤⣷⣄⠀⠀⠀⠐⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠠⢤⣶⣾⣿⡿⠋⢀⣀⣰⣶⣾⣿ ⡀⡆⠀⡉⡁⢿⣉⢀⠀⣰⣷⣿⣟⠠⡽⢂⡀⡄⠀⠰⣖⢱⢖⢂⡆⠈⣿⣿⣿⣿⣿⣶⣄⡙⠻⢿⣿⣿⣷⣦⣀⠀⠠⣤⣀⡀⢈⣓⣶⣶⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⣉⣭⣽⣿⣿ ⡇⣯⣿⣿⣿⣾⣿⣿⣿⠿⠟⡡⢞⣹⠾⢻⣚⣛⢺⠞⢋⣭⣾⣧⡃⢄⡈⢿⣿⣿⣿⣿⣿⣿⣯⣿⣮⣽⣿⣿⣿⣿⣷⣬⣽⣿⣿⣿⣽⡿⣿⡿⠟⠋⢀⣀⣐⣺⣿⣿⣟⣫⣭⣿⣿ ⢳⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣦⠒⠉⢁⡀⠀⣙⣛⢿⣷⣶⣅⠀⠙⠻⣿⣿⣿⣿⣟⡚⠛⠻⠞⠿⠿⡿⡿⠯⠁⠟⣊⠾⠝⢋⣁⣀⣤⣤⣿⣿⣿⡿⠿⠿⠻⠛⠻⠻⠿ ⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣐⣾⡿⡟⢶⠾⢋⢹⠿⢿⣿⣿⣷⣦⡈⠙⠛⠿⠿⢿⣶⣶⣶⣶⣶⢶⠟⠚⠀⠁⠀⠀⠙⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⢀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢠⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⡄⠀⣶⢀⣴⣦⡄⢸⡇⢸⣧⠀⣴⠿⠿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣷⣾⣿⢸⣧⣾⣿⣽⣧⠘⣿⣄⢿⣦⣠⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⢹⡎⠻⠿⠛⠁⢿⣶⡬⠛⠓⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠛⠀⠘⠇⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠛⠛⠳⠶⣤⣄⣀⣤⣤⣴⠶⠶⠶⢶⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠘⠀⢁⡤⠄⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⠛⠷⢶⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠲⣮⡻⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣠⢾⣷⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣵⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⡀⠈⣃⠛⢿⡿⠃⠀⢤⣤⣤⣠⠀⠀⢠⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⡇⣽⠏⠀⠀⠘⠻⠿⠃⠀⠶⣄⠀⠀⠀⠀⣸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⡟⠀⠀⠀⠀⠀⠀⠘⠷⠤⠾⠁⠀⠀⢠⡏⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢡⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡀⠀⠉⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢁⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡽⢿⣷⣦⡀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⣠⣾⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⠋⢠⡾⠁⠈⢻⣆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣴⣖⣫⣥⡶⠾⣿⡈⢻⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠁⢠⡟⠁⠀⠀⠀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⢿⣏⠉⠁⠀⠀⠘⢷⡀⠻⣦⠀⠀ ⠀⠀⠀⢀⣾⠋⣀⣴⣿⣤⣤⣤⣤⣤⣿⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣿⣤⣽⣷⣤⣤⣤⣤⣼⣷⣄⡹⣧⠀ ⠀⠀⠰⠿⠟⠋⠉⢈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠉⠛⠿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠲⢦⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⢠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠈⠀⣠⠄⠀⣠⠀⠀⠀⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠷⠲⠶⠶⠶⠖⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠶⠶⠤⠒⠒⠛⠑⠶⠚⠓⠒⠒⠶⠿⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⢻⣿⣟⣯⡟⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡿⣝⠢⣝⣻⡾⣝⣣⣟⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣟⡿⡡⠒⢌⡷⣻⢳⡜⣾⣓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣻⢾⡱⠁⠐⢌⡾⣽⣣⢞⡷⣿⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⢿⣟⣿⠾⡝⠦⠁⠀⠀⠸⣼⣳⣟⣾⣿⣻⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⢿⡯⣏⠟⡁⠂⠀⠀⠀⢱⡸⣷⣻⣞⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡔⠉⠐⠀⠀⠀⠀⢐⢢⡳⣽⣳⡿⣞⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣇⡀⢆⢰⢰⡈⡎⢷⣹⢷⣏⣿⣿⡾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣆⡳⢮⣵⣻⢯⣟⡿⣾⣽⡿⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣠⠤⡄⢲⣖⣶⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⡽⣾⣽⣻⢾⣽⣿⣾⣿⣿⣿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⢶⢾⣹⣏⡿⣽⣏⢿⡘⢆⡾⣽⣯⠀⠀ ⣀⣀⡀⣀⣀⣤⣄⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣠⣈⡹⣿⣷⣯⣟⣯⣟⣾⣿⣿⣿⣾⢿⡧⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣻⢾⡵⣯⣟⣧⡿⣽⣳⣞⡣⢜⢪⡵⣻⣾⡀⠀ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⢿⣟⡿⣻⠿⠿⢿⢿⣷⣿⣾⣽⣻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⣾⣯⢷⣻⢿⡽⣳⠞⡧⡙⠤⠁⠂⠑⡈⢆⡙⠷⣿⠁⠀ ⠀⠀⠉⠻⣿⣿⣿⢿⣿⣻⣿⣟⣯⣿⣯⣷⡿⣟⣷⣟⡿⣞⡷⣯⣞⡷⣶⢦⣌⡁⠛⢷⣿⣽⣿⡋⠙⢳⢦⣀⣀⣠⣾⢿⡝⡯⣏⡽⣪⣕⣣⡝⡰⢠⠀⠀⠀⠀⠐⢤⡚⣼⣳⣷⣤ ⠀⠀⠀⠀⠈⢿⣿⣿⢿⣿⣽⢿⣻⣽⢯⣷⢿⣻⡽⣾⣻⣽⣻⠷⣯⢿⡽⣯⣟⡿⣷⣾⣾⣽⣿⣿⣷⣦⡌⢉⣿⣿⣯⣟⣾⣷⣻⣞⣷⣾⣳⣽⣣⠇⡌⢀⠀⠀⠀⠢⣝⡷⣿⣿⡟ ⠀⠀⠀⠀⠀⣾⣿⡿⣿⣻⢾⣻⡽⣞⡟⣮⢏⣧⣙⠶⡑⢎⠁⡉⠈⠀⠁⢀⢈⣈⣁⣹⣜⡯⠿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣯⣞⡴⢂⠀⠀⠀⠠⢹⡾⣿⣿⠁ ⠀⠀⠀⢠⣾⣿⣿⣿⣟⣯⣿⣳⢿⣽⣻⢮⡟⣶⡹⣎⡽⣘⡞⣴⣋⢾⣩⠏⡞⠴⠙⠋⠈⠀⠀⠀⣹⣿⣳⢿⡿⢹⣞⣧⢿⣹⢯⡿⣽⣳⢯⣟⡷⢯⣞⡧⢎⠠⠀⠀⠱⣿⣿⣟⠁ ⠀⠀⣰⣿⣿⣿⣿⣽⣿⣻⣾⣽⡻⠞⠷⠏⠻⠖⠋⠓⠉⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣽⣻⡜⡀⠸⣿⣟⣾⣳⣟⣷⣯⡿⣾⡽⣯⢿⣹⣏⢦⠁⠀⠸⣽⣿⡏⠀ ⠀⠾⠋⠛⠉⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽⣷⢯⡗⠀⠀⠹⣿⣟⠿⢿⣿⣾⣿⣷⣿⣿⣯⣷⣮⣳⣎⣤⣐⡿⣿⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣽⢯⠇⠀⠀⣜⣷⣷⡆⠀⠁⠙⠳⠿⡾⣍⡻⡝⡿⣿⢿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢯⡛⠀⠀⢰⣞⣿⣿⣿⡀⠀⠀⠀⠀⠀⠉⠉⠛⠙⠋⠛⠋⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠧⠁⠀⠠⣟⣾⣿⡿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⡀⣼⢿⣿⣻⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡰⣹⢾⣿⣿⣿⣿⢿⣯⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣻⣿⡿⣿⣾⣿⣿⣿⣿⣽⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣏⣿⣿⣿⣿⣿⣿⢿⣏⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣻⣿⣷⣿⣿⣿⣿⣻⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣟⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣯⣿⣿⣾⣿⣿⢿⣿⣻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣿⣿⣻⣯⣷⣿⡿⣿⣟⣯⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣽⣟⣯⠛⠑⠛⠻⢻⠿⣿⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣽⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ follow me on pinterest -- eminaiu

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠶⠶⠶⠶⠶⠦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠋⠁⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠈⠙⠻⢦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠉⢀⣠⠖⠙⠉⣀⣀⣠⢶⣿⣏⢙⣿⣧⠀⠀⠀⠀⠙⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠀⣠⣋⣴⢾⡚⢉⠁⠀⠀⣸⣧⣊⣋⣛⡟⠳⣤⡀⠰⣄⠀⢷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣼⠋⢁⣸⠌⠗⠚⠋⠉⠙⢍⠉⠛⠻⠿⢤⣀⡀⢙⡶⡙⣇⢈⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⡞⠟⠳⣄⠀⠀⠱⡀⠀⠀⢣⠀⠀⠀⠀⠈⠙⠛⣼⠑⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢋⡞⠀⠀⠀⢌⠳⢦⣤⣬⡷⠶⠿⠛⠛⠶⡦⣤⣀⠀⠈⣷⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⠃⡾⢰⠃⠀⠀⢀⠁⠂⣟⠀⡀⡄⠈⢀⡄⠀⢹⢆⠙⠛⠛⠋⠈⢷⡀⠀ ⠀⠀⢀⠀⠀⢀⣾⡇⢰⠃⡟⠀⠀⠐⣺⢰⣠⢿⣾⢇⢹⡀⣿⣇⢠⡈⠈⣣⡀⠀⠀⠀⠘⣇⠀ ⠀⡰⠁⡠⠀⢸⣿⣀⣸⠀⡇⠀⡇⡰⠙⣾⣻⣺⣇⡘⣿⣷⣽⠸⣼⣿⠀⠈⠻⡀⣇⠀⠀⣿⠀ ⢠⠁⠰⠁⠰⡟⠛⠙⣿⠀⠇⢰⣷⣧⡾⢛⣻⣟⡻⠟⠘⠃⠹⠇⠻⢙⣼⣶⣤⣿⣹⡀⠀⣿⠀ ⠈⠀⠇⠀⣾⣿⣸⣭⣽⣆⣰⡏⢿⠉⣴⠋⠁⠉⢻⣦⠀⠀⠀⠀⠀⣠⣽⣯⣝⢿⣄⡇⠆⣿⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡄⡇⢸⠐⣏⠀⠿⠿⠋⣻⠀⠀⠀⠀⢰⠏⣠⣄⠘⣯⢁⣟⢠⣿⠀ ⠀⠀⠀⠀⢻⣿⣿⡻⠽⠻⡟⢳⠈⡆⠙⠷⢦⠤⠖⠃⠀⠀⠠⠀⢸⣆⠙⠋⢈⡟⢀⢻⣸⡏⠀ ⠀⠀⠀⠀⠀⣿⣿⡄⠄⠀⠹⣼⡄⡇⠀⠀⠀⠀⢀⠞⠛⠛⢿⢓⡆⠙⠻⠖⠋⠀⣸⡿⣿⡇⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣄⠀⢴⡿⣧⢸⡀⠀⠀⠀⢸⠀⠀⠀⠀⢻⠃⠀⠀⠀⠀⠀⣿⡇⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⣿⠁⢹⣆⠂⠉⠙⡎⣿⣦⣤⣀⣸⡄⠀⠀⢀⡎⠀⠀⠀⠀⣀⣴⠟⠁⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⠈⣿⣷⡌⠀⠹⣼⣾⣿⡿⣿⣭⣿⣯⣹⣿⢻⣿⣿⣿⣿⡟⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢥⠀⢻⣿⣿⣦⠀⢽⣿⣿⣿⣻⣿⣿⣿⠛⢾⣾⡿⢿⣿⣿⡇⠀⢧⢻⡄⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⠀⢸⣿⣿⡟⢳⣼⣿⣿⣿⣿⣿⡇⢰⣴⣾⣿⣿⣿⣿⣿⢀⠐⡜⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣧⣾⣿⡿⠀⢸⣯⡏⠻⣿⣿⣿⣇⠈⣿⣿⣿⠿⢯⢻⣿⣸⣇⢻⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⡟⣴⣷⣾⣭⣤⣀⣈⣻⣿⣿⣷⣞⣿⡁⠀⢈⡇⢿⡿⢹⣜⡟⠿⠁ ⠀⠀⠀⠀⠀⠀⠀⢨⣿⣼⠉⢿⢿⡿⠿⠿⠿⠿⢷⣿⣷⣿⢿⣿⣿⣷⠛⢻⠘⣿⠠⣿⠇⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⢀⡴⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣦⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⣶⣶⡆⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⡇⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⢸⣿⣿⣿⠟⠛⠛⠻⣿⣿⣇⠘⠛⠀⠛⠃⣸⣿⣿⣿⡿⠛⠛⠛⢿⣿⣿⡇⠀ ⠀⠀⠈⠁⣴⡟⢻⣦⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢠⣾⠻⣷⡀⠉⠉⠁⠀ ⠀⠀⠀⠀⠙⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠟⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⠾⠿⠿⠯⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⠛⠁⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠁⠀⠀⠀⢀⣤⣾⣟⣛⣛⣶⣬⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠃⠀⠀⠀⠀⠀⣾⣿⠟⠉⠉⠉⠉⠛⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠋⠀⠀⠀⠀⠀⠀⠀⣿⡏⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣼⡏⠀⠀⠀⠀⣖⡲⠶⣝⡆⠀⠀⠀⠈⠙⠷⣤⣤⣠⣤⣤⡤⡶⣶⢿⠟⠹⠿⠄⣿⣿⠏⠀⣀⣤⡦⠀⠀⠀⠀⣀⡄ ⢀⣄⣠⣶⣿⠏⠀⠀⠀⠀⢠⠾⣄⠀⠀⠈⠙⡖⡆⠀⠀⠀⠀⠀⠈⠉⠓⠚⠋⠉⠀⠀⠀⠀⠀⠀⠈⠛⡛⡻⠿⠿⠙⠓⢒⣺⡿⠋⠁ ⠉⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠉⠁⠉⠯⠟⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀ 𝑴𝒂𝒑𝒍𝒆 ~

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠶⠲⠦⣄⠀⠀⠀⣀⣀⣀⣀⣤⣤⣼⣃⣀⡴⠋⠛⢦⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⢋⡴⠖⠦⣄⣨⠷⠚⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⡀⢈⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣏⢸⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣼⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⠤⠤⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡜⢦⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⢀⠴⠋⢡⣦⣤⣀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⢷⠀⠀⠀⣰⠃⠀⠀⣾⣿⠛⠻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠐⠶⠆⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⢸⡄⠀⠀⡇⠀⠀⣸⣿⣷⣶⣶⠿⠃⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣠⡀⣀⠤⠒⠋⠉⠙⠒⠾⣿⠇⠀⠀⠀⠀⠀⢧⠀⠀⢧⠀⢠⣿⡏⠀⠈⣿⡦⠀⣿⡇⢀⣼⣶⢄⣀⣀⡀⠀⠀⢠⣦⡌⢣⡀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠈⢿⠟⠁⠀⠰⢿⡿⠂⠀⠀⠈⢣⠀⠀⠀⠀⠀⠸⡇⠀⠈⢦⠘⠻⠿⣶⣾⡿⠃⠀⣿⣥⣾⠟⢡⣾⡟⠛⢿⣧⠀⣼⣿⠃⠀⢳ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⡞⠀⠀⣄⣠⣼⢿⣦⣴⠆⠀⠈⡆⠀⠀⠀⠀⢠⡇⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⣠⣿⡿⠃⠀⣾⣿⠛⠻⢿⡿⢰⣿⠏⠀⠀⢸ ⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⢷⠀⠀⠈⠉⠷⠴⠟⠀⠀⠀⣰⠃⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠈⠑⢦⣀⠀⠼⠿⠋⠀⠀⠀⠈⠻⢷⣶⡆⢠⣬⡉⠀⠀⢀⡾ ⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠈⠣⣀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⣀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢑⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⣀⡤⠞⠀ ⠀⠀⠀⠀⠀⠈⠓⢦⣤⣄⣀⣀⣈⣓⣒⣤⣤⣶⡾⠿⢶⣾⣯⣭⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⡴⠋⠀⠀⣄⣠⡴⠞⠒⠢⠤⠀⠐⠒⠚⠋⠉⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⠶⠚⠉⠁⣸⠟⠉⠉⠙⢧⣀⠀⠀⠀⡸⢻⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠑⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠋⠉⠉⠁⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠈⠑⠒⠚⠁⢸⡟⠶⢤⣄⡀⠀⠀⢠⣦⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡄⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠙⢳⣄⠈⢻⣿⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠳⣤⣀⣀⣀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣏⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠉⠻⣦⠀⠀⠀⣀⣤⠞⠛⠲⣤⣀⣤⠶⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣟⠛⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢿⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠈⢳⠀⠛⢦⣄⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⢀⣤⠀⣠⡾⠀⠀⠀⠙⠷⣄⣀⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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