Flower Text Art

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠋⠉⠉⠳⡴⠒⠒⠒⠲⠤⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⡴⠚⡩⠟⠓⠒⡖⠲⡄⠀⠀⠈⡆⠀⠀⠀ ⠀⠀⢀⡞⠁⢠⠒⠾⢥⣀⣇⣚⣹⡤⡟⠀⡇⢠⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣄⣀⠀⡇⠀⠀⠀⠀⠀⢀⡜⠁⣸⢠⠎⣰⣃⠀⠀⠀⠀ ⠀⠀⠀⠸⡍⠀⠉⠉⠛⠦⣄⠀⢀⡴⣫⠴⠋⢹⡏⡼⠁⠈⠙⢦⡀⠀ ⠀⠀⠀⣀⡽⣄⠀⠀⠀⠀⠈⠙⠻⣎⡁⠀⠀⣸⡾⠀⠀⠀⠀⣀⡹⠂ ⠀⢀⡞⠁⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢟⠀⢀⡤⠖⠋⠁⠀⠀ ⠀⠀⠉⠙⠒⠦⡀⠙⠦⣀⠀⠀⠀⠀⠀⠀⢀⣴⡷⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢦⣀⠈⠓⣦⣤⣤⣤⢶⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢤⣤⣤⡤⠤⠤⠤⠤⣌⡉⠉⠁⠀⠀⢸⢸⠁⡠⠖⠒⠒⢒⣒⡶⣶⠤ ⠀⠉⠲⣍⠓⠦⣄⠀⠀⠙⣆⠀⠀⠀⡞⡼⡼⢀⣠⠴⠊⢉⡤⠚⠁⠀ ⠀⠀⠀⠈⠳⣄⠈⠙⢦⡀⢸⡀⠀⢰⢣⡧⠷⣯⣤⠤⠚⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⣲⠤⠬⠿⠧⣠⢏⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠚⠉⠉⢉⣳⣄⣠⠏⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣟⣒⣋⣉⣉⡭⠟⢡⠏⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⠏⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠊⢱⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠑⢷⠀⠀⡸⠋⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢅⡀⠀⠀⡷⠒⢧⣀⣀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠛⠉⢇⣀⣸⠁⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⡄⠀⣠⡎⠀⠈⢧⣄⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠊⠁⣇⣀⡀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⠲⢄⡀⠉⠲⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠈⠓⢤⡈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⠤⠬⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
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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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⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠢⢀⠈⠑⢶⠉⠉⢩⠁⠀⡄⠑⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠐⠢⢀⠡⡐⡘⡀⠈⠸⣤⣾⡿⠲⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢆⠀⢀⡒⠤⣑⡑⣰⢡⡄⡣⢺⠛⡁⢀⡴⠒⠠⢄⠀⠀ ⠀⠀⠀⠀⡀⠀⢀⠔⢉⠀⠤⠭⢐⡻⡟⣋⡽⢱⢷⠬⢐⠭⢐⣂⡀⠀⠉⢆ ⠀⢀⠞⣁⠀⢬⠃⠀⢀⠄⠒⠀⣈⠘⢧⣿⣴⣃⣘⡾⠦⠭⠤⠄⣀⠀⠀⢸ ⠼⠆⣅⢠⢀⣸⡀⠀⠁⠠⠂⠁⡠⠂⢡⢪⠛⠚⡝⠫⠑⠈⠑⢄⣀⣀⠴⠋ ⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠈⠀⠀⢃⠃⠀⡇⠘⡀⠡⠀⠐⠄⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⡠⠤⠤⡴⢾⡀⠀⠀⠀⠇⠀⠃⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠈⡝⠢⡀⠙⠂⢤⢀⡀⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⢁⡀⡜⢄⠀⠄⠀⠀⡌⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⠤⠰⠀⡀⢢⠈⠤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢀⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⡠⠚⡦⠊⡆⡠⢶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣠⠃⣧⠃⣰⠁⢠⠏⢀⠎⢀⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠒⣧⣹⢀⣸⣄⣇⣦⠂⣠⠗⠊⢁⣠⣊⡀ ⠀⠀⠀⠀⠀⠀⠀⢺⣉⠙⢂⡾⠏⠁⠀⠀⠀⠈⠹⣗⡓⠉⠁⠀⣀⠼ ⠀⠀⠀⠀⠀⣤⠖⠋⠉⣓⡟⠀⠀⠀⠀⠀⠀⡀⠀⡷⢶⣖⠋⠉⠉⣢ ⠀⠀⠀⠀⠀⡝⠓⢒⣚⣷⡇⠀⠀⠠⠀⠀⣄⣤⠾⠖⠠⣈⠑⠲⢌⠀ ⠀⠀⠀⠀⠀⢉⠝⢉⡴⢞⡿⢶⢿⢴⡔⣿⠙⠝⡏⠢⣄⠈⠙⣕⠚⠀ ⠀⠀⠀⠀⠀⠧⡴⠋⣠⠏⢠⠉⡜⢈⡇⢹⠱⡀⠘⡄⠈⢋⠐⠊⠀⠀ ⠀⠀⠀⠀⠀⢰⡁⠔⡏⡠⡇⢠⠃⢸⠇⢸⢠⠓⠤⠏⠒⠚⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣄⡎⡦⠢⢈⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠄⠒⣂⠰⡒⠢⢄⢸⢡⠀⢀⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠚⠠⢅⠉⢈⢉⠳⢴⣸⣿⢗⣔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠡⢀⣀⡰⢋⡜⠻⣂⣈⠑⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡔⢡⠂⠣⡁⠉⠑⣖⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣰⠃⠀⠀⠈⠢⣀⠘⢣⠂⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢁⠇⠀⠀⠀⠀⠀⠀⠑⡄⢂⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠘⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⢌⣆⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠦⣀⣰⠒⠠⡤⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢖⠒⠡⡂⡗⢬⡚⠖⠊⢉⣁⠌⣝⣁⣀⠀⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⡔⠈⠒⠈⠼⡒⠢⢄⠠⠀⢠⠃⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠰⡀⠀⠀⠀⠈⠀⠀⠑⠄⠈⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢠⣠⢎⠃⣤⠤⣀⠄⡄⡀⠀⠱⠀⠀⠀⠀⠀⠀⢰⡼⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⢒⠛⠋⠒⠺⣫⢊⠏⠃⢰⠁⠀⣧⢡⠀⠀⡇⠀⠀⠀⠀⠀⠀⡻⡇⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠠⢤⠬⠱⡈⣡⠔⡩⠃⠁⠀⡀⠈⢆⠀⡟⡆⡜⠠⠁⠀⠀⠀⠀⠀⠀⡼⠇⢠⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢢⠀⠑⡀⡐⠁⠀⠁⠀⠀⠀⠇⠀⠌⡄⢇⢠⠁⠀⠀⠀⠀⠀⠀⠀⠈⠼⡀⢹⢨⣤⠒⠤⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢡⠀⠁⢻⡄⠀⠀⠀⠀⠀⡀⠀⢊⠴⠈⢽⠀⠀⠀⠀⠀⠀⠀⠀⡰⡱⠁⣆⢓⢌⣇⠉⢉⠭⡻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⢂⣷⡁⠀⠀⠈⠉⠛⠵⣬⣢⢚⡇⠈⠢⣤⡤⣤⡤⠄⢴⡊⢔⡁⠴⠁⠀⠉⠪⠑⢢⡜⠉⠝⠉⡹⠃ ⠀⠀⠀⠀⠀⢰⠎⡜⡫⡀⠀⠀⠀⠀⠀⠀⠁⢫⡵⢊⣙⠥⢷⣽⡞⢹⢤⣻⡰⠅⠀⡆⠀⠀⠀⠀⠀⣵⠘⠀⡜⠀⠀ ⠀⠀⠀⠀⠀⠀⢞⡅⢜⢔⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⢀⡴⠯⠁⠀⠸⠈⢫⣝⢆⠀⡄⠀⠀⠀⠀⠈⣫⢀⢲⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠺⡄⠑⢅⠂⡴⠂⡐⢏⢝⡰⣶⡪⠋⠀⠀⢸⠀⡇⠀⢸⣌⠎⠈⠀⠀⠀⠀⠀⢀⡿⡄⠾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠡⡹⣦⢣⠀⡇⡟⡀⠀⠀⠀⠐⠤⣼⣀⠁⠀⠘⡍⠀⠀⠀⠀⠀⠀⠀⢽⡃⠻⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢃⠸⡀⠀⠀⠀⠀⠀⠀⠈⢻⢦⢀⡀⢑⣤⡤⣀⢀⣀⡠⢔⠝⢠⠝⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⢡⠀⠀⠀⠀⠀⠀⡆⡈⠀⠁⠃⠈⢱⡞⡏⢲⡨⡖⡱⠒⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠈⣆⣦⠖⠒⡇⠀⠀⡇⡇⠀⠀⠀⠀⠘⢣⠁⡌⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠖⠈⠉⠈⠈⠉⠉⠋⠓⢤⣀⠀⠸⡇⠀⠀⠨⢇⠀⠁⠃⠀⠀⠀⠀⠀⡌⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣔⠀⠐⠂⠄⡉⠒⠤⣈⠑⢄⠐⢌⠱⡈⣫⡑⢄⡠⠃⢿⣴⠀⠀⠀⠀⠀⢠⢡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠯⣍⠀⠤⠓⣒⠶⠓⠀⠵⢄⡢⡘⡝⢥⢠⡠⠊⣘⣺⠀⠀⠀⠀⠀⡌⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠒⠶⠤⢤⣄⣖⠨⠭⠬⠵⢵⡀⢹⠔⡪⢐⠂⠀⠀⠀⠀⢰⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡹⣾⡭⡔⡏⡆⠀⠀⠀⠀⠆⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠮⠕⣲⠱⢱⡸⠅⡇⠀⠀⠀⠸⣘⣀⣀⣤⠤⠤⡤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢛⣂⡝⢸⠀⣧⡟⠀⠝⠀⠀⣴⢇⡏⡙⡱⡠⠐⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⣉⢥⠎⡇⠘⣴⠋⠁⠀⠀⠀⠀⡟⣸⡰⢑⣉⠉⠉⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠅⡲⡁⢰⢃⡔⠃⠀⠀⠀⠀⠀⢧⠣⣯⡑⠒⣀⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠔⠀⣃⣼⠋⠀⠀⠀⢠⠀⠀⠀⡆⡈⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢊⣠⠞⠋⠀⠀⠀⠀⠀⢸⠀⠀⢰⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡇⡼⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢓⡔⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⡇⡧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠃⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡄⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣖⣤⣿⣿⣟⣹⠻⢿⣿⣳⡀⠄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡏⣿⠏⠉⢣⡇⠀⠀⠻⡁⢻⡄⠀⠈⣴⣳⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⢸⡀⠀⠈⠀⠀⠐⡄⢡⡆⣿⠀⠀⠀⠻⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣼⡄⠀⢠⠀⠀⠀⠈⣸⢠⡿⠀⠀⠀⠀⠀⠀⠾⣽⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠿⢄⡀⠀⠀⠻⣿⣿⣶⣄⡄⠀⡀⣠⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⣶⠉⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⡿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡀⠀⠀⠀⠀⠀⠈⣇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣷⠋⠀⠀⠀⠀⠀⠀⢸⡀⡇⠀⠀⠀⠀⠀⠀⢀⠔⡿⣳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⣠⠂⡡⢞⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⢹⢸⠀⠀⣠⣾⡕⣩⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⡀⠠⢄⡀⠀⠘⣏⣆⣾⣿⣺⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣤⣻⣷⣆⣟⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠀⣤⣴⣤⠀⡠⣆⡀⣠⣴⣤⡀⢀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣿⡜⠁⣠⡾⠀⠙⡋⠀⢷⣄⠈⢧⣾⢁⣤⣄⠀⠀ ⢠⣤⡝⢛⣥⣌⠻⡄⠛⢠⠞⠉⢉⠛⡄⠻⢀⠟⣡⣬⡙⢫⣤⡄ ⠘⢛⣁⣈⣻⢛⡴⠶⠲⠄⢦⣰⣸⣸⠰⠖⠶⢦⡙⢟⣁⣈⡛⠃ ⣾⠋⣉⣭⠀⢸⠁⢤⡳⣷⡸⠟⠻⢇⣶⣔⡠⠀⡷⠠⣭⣉⠙⣷ ⠛⠘⠛⣡⠖⠪⣅⣑⠿⢋⡰⢞⡷⢦⡙⠿⣊⣠⡕⠲⣌⠙⠃⠛ ⢌⣻⠆⡏⠀⣒⣲⣿⡃⢾⠱⣏⣹⠎⡷⢈⣿⣒⣒⡀⢸⠐⣿⡡ ⣠⢤⣄⠙⠤⠐⡚⣩⣽⡌⠳⢮⡵⠞⢁⣯⣍⢗⠒⠤⠛⣠⡤⣄ ⢿⣄⣙⣛⠂⢸⡀⠐⡹⡿⢫⣦⣴⡎⢿⢯⠓⠀⣧⠐⣛⣋⣠⡿ ⢀⣭⡍⢉⣭⣌⠳⢦⠤⠊⡞⠹⢹⢹⠐⠦⡤⠞⣡⣭⡉⠉⣭⡄ ⠘⠛⣣⣌⡛⢋⣴⠃⣤⠘⢤⣀⣈⣠⠇⣰⠈⣦⡙⢛⣡⣜⠛⠋ ⠀⠀⠙⠛⠁⣿⢣⡀⠙⢷⠀⣨⣥⠀⡾⠋⢀⡜⢿⡈⠛⠋⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠛⠓⠛⠀⠑⠎⠀⠙⠛⠛⠁⠈⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣀⠀⠀⢠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⢳⡀⡼⠁⢳⠶⠶⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⡿⠃⠀⠾⠆⢠⣤⡗⠒⠲⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⣠⡞⠁⠀⠀⠀⠀⠈⠁⠁⣀⣶⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣁⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⢙⡶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⢀⡴⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠙⡆⠀⠀⠀⠀⠀⠀⢠⡾⠁⢀⣴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⣾⡶⣄⣀⣀⣤⠶⠋⠀⣠⠟⠁⠀⠀⠀⠀cuteness ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠻⣄⡀⠀⠀⣀⣼⠾⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠉⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⡇⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣷⠁⠀⠀⠀⠀⠀⣽⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢠⡟⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⡄⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢠⡞⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⢯⡍⠉⠓⠦⣄⡀⠈⣿⠀⠀⢀⡴⠋⢄⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢦⡀⠀⠀⠙⢦⡋⣠⡴⠻⠌⢁⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⠀⠈⣻⡋⠈⢀⣰⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡆⠀⠀⢰⡏⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⠀⠀⠸⡇⠀⢸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⢳⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠈⢧⡘⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠱⠸⡦⣤⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠲⠗⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢾⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⡽⠛⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⠝⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢯⡟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠖⠀⣴⡷⣦⡾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⡯⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣦⠝⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢁⣾⢿⣽⣳⢿⣽⣳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣠⣾⢿⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡿⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣟⡿⣼⣻⢿⣼⣻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣤⡴⣟⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⣾⣻⡽⣯⢿⡾⣽⢯⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣽⢿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣽⡿⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⣴⣦⣄⠀⠀⠀⢀⡀⣀⣠⣄⣀⢀⠀⠀⠀⣿⣞⡿⣽⢯⡿⣽⣻⢾⣽⣻⠀⠀⠀⣀⣀⣀⣰⡿⣯⡟⠁⠟⠀⠀⠀⠀⠀⢀⣀⡠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠃⣴⣶⣻⢯⣿⣻⢷⣯⣟⣿⣻⢶⣆⢻⡾⣽⢯⡿⣽⢯⣟⡿⣞⣗⣤⣶⢿⣯⢿⡽⣯⢿⡽⣯⣟⡶⣦⠀⠀⠀⠀⡾⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢷⣻⣟⡾⣽⣻⢾⡽⣾⣽⣻⢾⣻⣽⢯⡿⣽⢯⡿⣞⡿⣽⣻⢾⣽⣻⣞⣯⢿⡽⣯⣟⡷⣯⣟⣷⡄⠀⢀⣤⡳⠄⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⣟⡷⣯⢿⡽⣯⢿⣽⣳⣯⣟⣯⣟⣾⣻⣽⢯⡿⣽⣻⣽⢯⣟⡿⣞⡷⣯⣟⣯⣟⡷⣯⣟⣷⣻⡞⠃⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀ ⠸⣷⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⡽⣯⢿⣽⣻⣞⣷⣻⣞⡷⣯⡷⣯⢿⡝⠻⢿⣽⢾⣯⢿⡽⣯⣟⣷⣻⢾⣽⣻⢷⣻⣞⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠃⠙⠋⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠯⣿⣞⣷⣻⣞⡷⣯⣟⡷⣿⡽⣿⣉⠀⣈⣯⡿⣞⣯⢿⣳⣟⣾⣽⣻⢾⣽⣯⠗⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠑⠛⢚⣽⣷⣻⡽⣷⣻⣽⣻⢿⣻⢷⣻⢯⣟⣯⢿⡞⡓⠋⠛⠉⠀⠟⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡽⣞⡷⣿⣽⣳⣯⣟⣯⣟⣯⣟⣯⣟⡾⣯⣟⡷⣆⡀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⡿⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣯⢿⣽⣻⡽⣷⢯⣷⣻⣞⡷⣯⣷⣻⢾⣽⣻⢷⣯⣟⣯⢷⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡽⣯⣟⡾⣷⣻⣽⣻⣞⡷⣯⡿⡷⣯⣟⡿⣾⣽⣻⢾⡽⣾⣻⢷⡀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣽⣳⣯⣟⡷⣯⡷⣟⣾⣻⡗⠀⢻⣳⣯⣟⡷⣯⣟⣯⣟⣷⣻⢯⡅⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡷⣯⢷⣯⣟⡷⣟⣯⡷⠋⠀⠀⠀⠙⣾⣽⣻⢷⣻⢾⡽⣾⣽⣻⠇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣞⣿⣽⣻⢾⣽⣻⠝⠃⠀⠀⠀⠀⠀⠀⢸⡗⢫⣿⢯⡿⣽⢷⣯⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢻⣾⡝⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠐⠈⠙⠋⠛⡆⠀⠀⠀⠀⠀⠀⠀⢀⣦⡔⠀⠐⣦⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢯⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠍⠀⠀⠀⠉⠻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠽⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠀⠘⠀⠀⠀⠀⠀⠀⠀⢠⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⠯⠛⢹⠂⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⡿⡿⡣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⢠⣾⠋⠀⠈⢾⣿⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠈⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠈⠉⠁⠹⡆⠀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠖⠶⣤⣧⠀⠀⠀⠀⢠⣷⠟⠉⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠏⠀⠀⠈⠻⣆⠀⠀⢀⡾⠁⠀⠀⠀⠈⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⢹⡷⠛⠻⣧⡀⠀⠀⣀⣠⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣶⣦⡤⠴⣿⠀⠀⠀⠈⡟⠛⠛⠛⠷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⠉⠀⠀⠀⠛⣦⣄⣠⣾⡇⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⣰⡏⠀⠀⠀⢻⣄⡀⠀⠀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⣀⣤⠞⣿⠀⠀⠀⠀⠈⣯⠙⠳⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⢻⣄⣀⣄⡀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡶⠶⠶⠶⠦⢤⣄⡀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡙⠳⣤⣀⠀⠀⠈⠙⢶⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠉⠓⢦⣄⡀⠀⠙⢦⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠈⠙⠳⢤⡈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢤⣤⣀⣠⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⢖⡧⠀⠀⢀⣀⢠⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⢠⠼⣾⣓⣺⢭⠓⠀⠀⡆⠀ ⠀⠀⠀⠀⡰⠀⠀⣄⡀⠀⠹⠥⣧⠽⠉⠀⠀⠁⠎⠁ ⠀⠀⠀⠁⡆⠉⠀⠘⡌⡆⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡰⣀⠈⢷⣾⣶⡎⣱⠶⠀⠀⠀⠀⠀ ⠀⡔⠋⠙⢦⡎⠀⠈⡧⠊⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡀⠀⠀⢁⡠⢺⠁⠀⠠⣞⡧⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⡔⠋⢀⠃⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⡦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠉⠉⠉⢿⣇⠀⠀⠀⠀⠀⠀ ⢀⣴⡾⠛⠛⠭⢟⣕⣄⣾⡏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⡎⣿⠀⠀⠀⠀⠀⠈⢏⣿⡇⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀ ⠹⡿⡄⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⣠⣟⡡⠤⢄⣀⠀⠀⠀ ⠀⠈⠻⣦⣄⠀⠀⠀⣠⡿⣿⣿⣢⡾⠋⠉⠉⠉⠓⠒⢵⣆⠀ ⠀⠀⣀⣬⠻⠷⢶⣤⡯⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠹⣧ ⢀⣾⠛⠁⠀⠀⠀⢘⣇⣀⣀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⢀⡟ ⣯⠃⠀⠀⠀⠀⠀⠀⢛⣿⠛⠉⠙⢿⣦⣀⣀⣀⣀⣀⣶⠞⠁ ⣿⡀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠈⢯⢫⡉⠉⠉⠉⠁⠀⠀ ⠙⡷⣄⡀⠀⢀⡤⡺⣿⠀⠀⠀⠀⠀⠈⣇⡇⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠛⠛⠛⠋⠀⠘⣆⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣀⣤⣖⠏⠀⠀⠀⠀⠀⠀⠀tsuneo
⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠉⠙⢦⡀⠀⠀⢀⡴⠚⠛⠉⠉⠛⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⢢⡄⠀⢸⠀⠀⢀⣠⡆⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⣀⠀⠀⠸⣫⡿⠋⠉⠉⠛⢿⣭⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⠖⠚⠉⠉⠉⠉⠙⢷⠇⠀⠀⠀⠀⠀⠀⣿⣟⠿⠛⠋⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⢻⣷⣄⡀⠀⠀⣠⣾⣧⣀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⠏⠙⣿⠋⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⡰⡻⠋⠀⠀⠘⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠉⠓⠢⠤⠤⢖⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⣀⣠⠔⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⠤⠤⠤⠤⠤⠚⠉⠀⣿⡄⠀⠀⠀⠀⣀⣀⣀⣀⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣠⠖⠋⠉⠀⠀⠀⠀⠀⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⢀⣾⠵⠚⠀⠀⢀⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡴⣋⠁⠀⠀⠀⠀⡰⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠉⠀⢀⡤⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠃⠀⢀⡠⠞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
flower𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡𓍢ִ໋🌷͙֒✧˚ ༘ ⋆。˚♡༘⋆✿༘⋆✿༘⋆✿༘⋆✿༘⋆✿🌱🌼🌾🍰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣶⡷⣶⣄⠀⠀⠀⣠⡶⣦⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⣿⣿⠿⣄⠀⠙⡈⢻⡓⣄⣨⣿⣃⣻⣀⣠⠴⢿⢟⠟⢷⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡻⣗⠶⠤⠤⣀⡀⠙⢿⠀⠘⡄⠀⠹⣞⣿⣧⠿⠟⢿⢿⣿⣡⡴⠋⠘⠀⢸⡷⠊⠉⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣣⡈⢦⡰⣄⣶⡇⢀⠀⣇⠀⢣⠀⠈⣿⡽⠃⠀⠀⠘⠀⢹⣿⡵⠁⠀⣠⣎⠀⠀⢠⣷⣤⡤⢄⣤⣄⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⢅⠭⣿⠿⠾⣿⣷⣾⠀⠸⡀⠘⡇⠐⢻⠀⠀⠀⠀⠀⠀⠈⠸⠀⠀⡴⠿⡽⢎⣴⠟⠉⠀⢀⡠⠖⠚⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⠣⡀⠙⢶⣄⢽⣾⠳⠦⣷⡠⢾⡆⡄⠀⢀⠀⠀⠀⠀⠀⢀⡀⡼⠁⣰⠃⠸⠃⠀⡠⠚⠉⠀⢀⣴⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠤⠤⢿⣆⡀⠈⠢⡨⠿⣿⣎⠀⢰⣽⣿⠉⠻⣷⡄⣸⣠⣤⣦⡀⣄⣼⣾⣀⢀⠏⠀⠀⠀⠀⠀⢀⣤⣞⠯⠕⠲⣶⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠒⠢⠤⣈⠉⠳⢦⣌⣾⣿⣟⣦⠐⢛⣿⣤⣴⣿⣿⣯⣭⣭⣿⡿⣛⢉⣠⠴⣏⡀⠀⣠⡎⢀⣴⡿⠋⠀⢀⠴⠚⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⢀⣀⡀⠹⣷⠀⠀⠈⠑⢢⡀⢉⡻⣿⣽⣿⣶⣾⣿⣿⣿⡿⣿⣿⡟⣿⣿⣽⡟⠙⠻⣅⢸⣿⣿⠟⣶⠿⠋⠀⣠⠔⠁⢀⣠⡼⣗⠒⠿⣿⣀⠀⠀⠀⠀⠀ ⠀⣿⣧⣀⠀⠀⠸⣌⠈⢉⠻⠷⠦⢤⣄⡀⠈⠑⢽⣿⣿⣿⣿⠋⣹⡿⣻⢿⣯⣉⣿⡶⣿⣿⣿⢦⣠⣿⢿⠿⣝⠲⢧⣄⡀⢈⣠⡴⠚⠉⠀⠀⠀⢠⣼⠝⠋⣩⡿⠛⠁⠀ ⢸⣿⢿⣏⠓⠦⣄⡙⢟⣤⣈⠉⠀⠀⠀⠈⠙⠶⣼⣿⣿⡇⠋⢰⣃⡴⠗⢻⣿⡟⠻⠛⠏⠹⣿⡟⠻⣿⣯⡇⠸⡄⢻⣷⠞⠹⣧⣤⠤⢄⣀⡲⠶⠟⠋⣠⣾⠋⠀⠀⠀⠀ ⢸⢿⡀⢿⡳⣦⡀⠙⢮⣧⣀⡀⠀⠑⠒⠤⣄⣰⡾⢿⣿⣀⡀⠀⠛⣃⣠⣾⢻⢇⣦⣤⣤⡀⠉⢻⣷⠿⢏⣷⠀⣿⠘⣧⡀⣠⠟⢑⣾⡯⢤⣤⠴⠟⠛⠉⠉⠀⠀⢤⡤⠄ ⠈⣿⣿⡀⠁⠈⠛⢦⣀⢱⡧⣀⠈⠀⠀⠠⢬⣿⣏⠀⠈⠻⢦⠀⣠⠟⣿⣯⣽⠮⣿⣿⣿⣿⠁⠊⢹⠀⠈⣿⣰⣿⣦⡿⠋⣡⠖⢫⣥⠔⠋⠁⠀⠀⠀⠠⣤⠀⢀⡼⠃⠀ ⠀⢸⡼⣿⣆⠀⠀⠀⠙⠓⢿⣶⣭⣔⣶⡤⠤⢤⣽⣧⣦⣀⣾⠟⠁⣴⣿⣿⣾⡭⣩⣿⣿⡏⣗⢦⣼⣦⡴⣿⡇⢘⣿⣿⠟⢁⡴⢿⣉⠉⠀⠀⠀⠀⠀⠀⢨⣷⡏⠀⠀⠀ ⠀⠀⢳⡻⡌⠓⠄⢀⠀⠀⠀⢿⡋⠁⠀⠀⠀⠀⠀⠙⣿⣿⣷⣶⣞⡽⠋⠁⣿⡿⠋⢹⣿⣾⣿⡿⣽⡿⢿⣾⢿⣿⣟⡓⠚⣉⣰⣞⣉⣠⠤⠤⣤⣤⡴⠶⢿⡿⠃⠀⠀⠀ ⠀⠀⠀⠙⢝⠢⡀⠈⠉⠑⣒⣾⡿⠛⠋⠀⠀⠀⠀⠀⣻⣿⠤⠬⣿⣅⣠⣴⣿⣠⡀⡼⠋⢻⣽⣅⡟⠀⣸⣿⠿⢟⢛⡋⠉⠁⠀⠀⣸⣾⠥⠞⠹⡟⣯⠂⠀⣽⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢲⣤⣤⣼⣛⣛⣷⡤⠀⠀⠀⠀⠀⢀⣨⣿⣷⣄⣀⣀⣤⠟⠉⣛⣻⣧⣶⣿⣿⡷⣾⣿⣯⣾⣛⡛⠛⠁⠒⠒⠾⢉⡀⣹⣟⣒⣒⡚⠛⠛⠲⢬⡇⠀⠀⠀ ⠀⠀⠀⠀⢠⣴⣽⣚⣭⠭⠭⣭⣉⣽⡦⢖⣲⡦⠟⠛⠁⠉⠙⠛⣛⣭⡴⠛⠁⢘⣿⣿⢻⣿⣿⡛⠂⠉⠻⣟⠛⠓⢤⡀⠐⠒⢤⣀⠙⣿⡯⠉⠉⠙⠶⣖⡲⢬⡇⠀⠀⠀ ⠀⠀⠀⠀⣾⠗⠉⠀⠀⠀⣠⢎⣡⢶⣶⠋⠁⠀⠀⠀⠀⠀⣀⠴⠛⠁⢀⣠⠞⢻⡟⠿⣿⣿⡄⠑⣄⠀⣄⣍⢷⣄⠀⠈⠓⢦⣀⠀⠙⣧⡀⠀⠀⠀⠀⠙⢿⣄⠇⠀⠀⠀ ⠀⠀⠀⠐⠁⠀⠀⠀⠀⣸⣣⠏⡠⢿⣿⠋⠁⢀⡠⠔⠊⠉⠀⠀⣠⡶⠟⠁⢠⠎⠀⣼⣿⠋⣷⠀⠘⣆⠘⣌⣆⣟⢷⣄⠀⠀⠈⢳⣦⡀⠈⠉⠲⣦⣀⣰⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠃⠄⠀⡠⠙⣗⡋⠀⠀⢀⣠⣤⣷⠛⠁⠀⢀⡴⠃⢀⣼⡟⠟⡀⠇⡇⠀⠸⡄⠘⡼⣻⠀⠙⣷⠤⣀⣳⠿⣄⠤⠀⠀⠀⠉⠈⠉⠉⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡾⠃⣨⠿⠴⣒⣒⡿⢃⣿⠃⠀⠀⣠⠋⠀⣴⡯⠋⢠⠀⡆⢀⢸⡀⠀⢣⠀⢣⣿⡇⠀⠘⡆⠘⣿⣻⠓⠒⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣴⢏⡰⣾⢃⣿⡟⢉⡍⡠⠚⣿⠀⡄⡼⠟⢀⡼⣿⠀⠀⢸⠀⡅⢸⡌⢧⠀⠘⡆⠈⡿⣿⠀⠀⢹⠀⢸⢿⢇⡀⣀⣈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡏⠀⣧⠏⣾⠁⢸⡴⢁⡼⠛⠲⣧⡷⢶⠃⢸⠃⠀⠀⡸⠀⢆⡟⣷⡘⢦⣠⣷⣹⡷⣿⡀⠀⠈⡆⢠⣼⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⣿⠀⡇⠀⢸⡳⠋⢠⠀⠀⠀⡽⠁⢠⣿⡆⠀⠀⡇⠀⢸⣧⡿⠃⡓⠿⠉⠃⢁⡎⢹⣾⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠟⠃⠀⠀⠀⢻⣼⡇⠀⠈⠛⠒⢼⣧⠀⢰⠁⠀⣾⣿⣳⡀⠀⡇⢀⡿⠟⣗⠀⣿⠀⣤⡷⠞⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠈⠻⠶⠿⠶⠀⣅⠉⢻⣿⣦⣳⣾⠃⠀⢸⣤⣇⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠚⠛⠓⠛⠉⠀⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀ 🌹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣦⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣲⣾⠟⠋⠁⢸⣿⣿⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢿⣾⣗⡀⠀⠀⠀⠀⠀⠀⢶⣶⣇⡀⠀⢙⡿⠃⠀⠀⠀⠀⢸⣿⡎⡟⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣾⣿⡿⣿⡃⠀⠀⠀⠀⠀⠀⢹⣿⣷⣖⣿⠇⠀⠀⠀⠀⢠⣾⠿⣻⢀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⢻⠟⣷⡆⠀⠀⢶⣦⡀⠀⢈⣿⣿⣿⠆⠀⠀⠀⣐⣿⡟⢀⣿⣾⣏⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢄⣾⡿⠋⠀⢀⣤⠄⣿⡇⠀⠀⢿⣿⣿⣠⣾⣟⣷⣿⣀⣀⣀⣾⣿⣿⠡⣿⣟⡻⣿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣭⠐⣀⣤⠿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣏⠉⠉⠉⠱⣿⣏⣿⣿⣷⢾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣐⣿⢏⣀⣼⣿⣿⣿⣿⣿⠿⠛⠛⠛⣿⣿⣿⣿⣿⡆⠀⠀⠀⠹⣿⣿⢫⣿⣾⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣶⣾⣿⣿⣿⣷⠷⠾⠿⠻⢿⣿⣿⡀⠀⠀⠀⠀⣺⠿⠛⣿⣿⢻⣷⣄⡀⠀⢸⣿⣿⣿⣿⠏⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣠⣧⣿⣿⣿⣿⣿⡿⠿⠋⠉⠉⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⠂⠙⢿⣿⣷⣼⣻⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣿⣿⣿⣿⠿⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠀⠀⠀⠀⠚⠛⢻⣿⣿⠟⠃⠀⠀ ⠀⠀⠀⣀⣴⣤⣿⣿⣿⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢴⣽⣿⣿⣿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠢⡉⠙⢦⠀⣠⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠤⠤⢄⠘⡄⠀⠀⠀⠈⣦⠁⠀⠘⠈⢃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠤⠧⠀⠀⠀⠉⢣⠀⠀⠠⠀⡟⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠦⣀⠀⠀⠀⠁⠠⠱⡀⢀⠀⠇⠀⡀⠀⣰⠥⠒⠈⠉⠑⣄⡀⠀ ⠀⡠⠐⠂⠈⠛⠲⢄⡀⠀⡡⠓⠉⠀⠉⠘⢄⠔⢁⡀⠀⠀⠀⠀⠀⠈⡆ ⢈⡀⠀⠀⠀⠀⠒⠂⠨⣲⠀⠀⠀⠀⠀⠀⠀⢱⠁⠀⠀⠀⠀⠀⣀⡠⠃ ⡎⠀⠀⠀⠀⣀⣀⠠⠄⣘⡄⠀⠀⠀⠀⠀⠀⡘⠉⢉⡉⠉⠙⠫⣅⠀⠀ ⠙⠒⠒⠈⡠⠊⠀⠐⠁⠀⡸⠢⢄⣀⣀⣤⠚⠤⡀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠎⠀⠀⠀⠀⠀⡐⠀⠀⢰⠈⢦⠀⠈⠢⠈⠓⢄⠀⠀⢈⠊⠀⠀ ⠀⠀⠈⣆⠄⠀⠀⠀⢰⠁⠀⠀⠆⠀⠈⣧⠀⠀⠀⠀⡈⠗⠀⠊⠀⠀⠀ ⠀⠀⠀⢸⡀⠀⢀⡤⢻⠀⠀⠈⠀⠀⠀⠁⠱⡀⠀⠀⢀⠜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠁⠀⠸⡄⠀⣀⣔⡀⢀⡆⠀⠈⠂⠐⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣂⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⣼⣷⠼⣞⣽⢏⣿⣆⠱⣄ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠛⠢⠐⡍⡉⣾⣾⣽⣟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⢿⣿⣦⠀⠤⢶⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣺⡙⢻⣿⣿⣧⣽⣉⣁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣷⡔⡉⣩⢋⡋⠩⠯⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⣘⣶⣁⢙⢐⣄⡴⠪⠓⠁⠉⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠇⣿⠂⠁⠀⠀⠀⠀⠀⠀ ⠀⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⢐⢝⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠈⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⠿⢛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⡤⣤⣄⡀⢀⣤⣤⣄⡀⠀⠀⠀⠀⢀⣠⣤⢤⡦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⠞⠋⠉⠳⠄⠀⣹⡌⠀⠰⠏⠛⠶⣄⣤⠞⠋⢁⡀⣸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠉⠁⠐⣦⡤⡀⢀⡼⢧⠀⠀⣀⠀⠀⠈⣷⢤⣶⠋⢨⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⢂⣠⣀⡙⢿⣿⣟⣆⣸⣤⣏⡀⡀⠒⢻⣿⢋⣉⡿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠛⠛⠛⠛⣛⣻⣿⣿⢿⣿⣟⣟⠛⠛⠿⢿⡿⣍⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⢠⠼⣿⣿⣧⣼⣿⣿⡿⢿⡀⠀⠀⢻⡿⢇⠀⢿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣟⠃⠀⠀⠀⠀⣞⠘⣿⣿⣟⣗⣿⠀⢁⣀⠀⡾⠻⣆⡡⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⢶⣦⣿⣦⣤⡄⠀⠀⣼⠟⢹⣻⡏⠉⠈⣧⠀⢈⣿⠿⢤⢨⣟⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢦⣌⣉⣫⣽⣿⢲⣤⡼⣏⠀⠀⢉⡃⢀⡴⠋⠙⠋⠁⣠⠴⠿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⡇⠸⣿⡃⢸⡟⢿⡖⠟⢋⣵⡖⠀⢀⡼⠃⠀⠀⢸⠇⠀⠀⣰⣿⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠘⣧⠸⠁⢡⣾⠧⠸⣧⠀⣼⠁⣷⠀⢸⣿⡄⢠⣴⠟⠀⣠⠞⣡⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠋⠉⠉⢷⣦⠘⣦⣴⠛⠁⠀⡄⢹⣦⡏⢠⡏⠀⢬⣽⠛⠛⠁⢠⡞⠁⣼⣷⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣆⡀⠀⠀⣹⣷⢸⠏⠀⠀⢸⠿⡆⢻⣿⠏⠀⠀⣼⣃⠀⠀⢠⡟⢀⣿⣹⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠟⠛⠋⠳⢦⡀⠀⢸⠀⢹⡜⢻⡄⠀⢲⣯⣿⡄⠀⣾⣱⣾⡿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⠀⠙⢦⣼⡆⢈⡇⠸⢿⡄⢸⢿⠀⢷⡰⣿⣿⣋⡴⠶⠛⠛⠛⢳⡦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡙⠳⣄⠿⣷⣿⠇⠀⠈⣷⢾⢸⡄⠈⣷⣿⡿⢏⣀⣀⣀⣠⡼⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣀⣀⠛⣦⠻⣝⢿⣿⠀⠀⠀⠺⣿⡎⣧⠀⣿⡿⠋⠉⠉⣉⣉⣁⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠐⢦⣍⣟⠮⣟⠮⣟⣿⣆⡀⠀⠀⣻⡇⢹⣽⣿⠃⣠⡞⠉⠀⠀⢸⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠐⠮⣿⣷⣜⢳⣄⠽⢿⡁⠀⠀⠸⡇⠈⣿⣿⢔⣿⣆⣀⣠⣤⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢾⣶⣶⣿⣿⣿⢦⣟⡇⠀⠀⢐⡿⠀⢸⣿⠏⠀⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⢦⡀⠹⡇⠀⠀⢸⠃⢃⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢹⠀⡇⠀⢰⡟⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⢸⣇⡇⢀⣿⡷⣫⣤⠴⠖⠓⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⣼⣿⣃⣾⣿⢞⡯⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣾⢿⣿⣩⡤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⢛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠤⠀⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⡀⠀⠀⢀⣸⡿⠁⢿⡀⠀⠀⠀⠀⠀⠀⢠⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠘⣧⠀⢠⣾⠿⠀⠀⠈⢷⡀⠀⠀⠀⣀⣴⡾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⣤⡾⠁⠀⠀⠀⠀⠸⡇⠀⣠⣾⠟⠉⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠶⣦⣄⡀⠀⠀⠀⢀⡟⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⢹⡾⠋⠁⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠉⠻⣧⡄⠀⢸⠁⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⡏⠀⠀⠀⠀⠈⠻⣆⠘⡆⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢠⡇⠀ ⠀⠀⠀⠀⠸⡏⠉⠉⠙⠛⠻⠿⣷⣦⣀⠀⠀⠙⡄⢿⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡾⠀⠀ ⣦⣄⣀⡀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⡄⠀⢧⠈⢷⡀⠀⢻⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⣀⡞⠁⠀⠀ ⢻⠙⠛⠻⠷⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⢸⡇⠈⢿⣦⡈⣧⡀⠀⠀⠀⢀⣴⠏⠀⢀⣴⠟⠀⠀⠀⠀ ⠈⣷⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡏⠁⠀⠀⠙⠻⣾⣷⣤⣤⣶⣛⣥⣴⡾⠟⠁⠀⠀⠀⠀⠀ ⠀⠘⣧⡀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣄⡀⠀⠀⠈⠻⠿⣷⣦⣤⣤⣶⠿⣦⡀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣶⣤⣄⣀⣀⣤⣤⡿⠟⠁⠀⠈⠙⢦⡀⠀⠀⠀⣸⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⣧⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⡇⠀⣼⠋⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠈⢷⡇⢰⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡛⠛⠿⢦⣄⡀⠀⠀⠈⣧⡏⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠉⠻⣦⡀⠀⢻⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠈⢳⡄⠸⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⢀⠀⠹⣦⢳⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠈⢿⣧⡀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠷⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⣀⡤⠤⢄⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⡇⡔⠈⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡡⠀⠀⠀⠀⢀⣙⣀⣀⡀⠀⢸⡀⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡁⠀⠀⠀⠀⡜⠁⠀⠀⠀⠈⢣⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⢸⠀⠀⣀⣀⣞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠉⠀⠀⠀⢘⡆⢀⣀⠀⠀⡰⠁⠀⠈⠁⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⢀⠀⠀⠀⠀⡇⠈⠉⠉⠉⠁⠀⠀⡀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠂⢒⠧⠄⠀⠀⡠⡤⠀⠀⠉⠓⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣙⠀⠀⢠⠧⠊⠁⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡫⠉⠉⠀⢧⣀⣀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢆⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠢⡄⠀⠀⠀⠀⡬⢨⠀⠀⠀⠀⠀⡠⠂⠁⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠘⢄⠀⠀⠀⡇⠸⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠘⡄⠀⢸⠀⡆⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⡇⠀⢸⠀⡅⡄⠁⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠇⠀⠀⢩⠀⡞⠀⡏⠀⠀⠀⡠⠞⠁⠀⠀⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⡃⠀⠀⠘⠆⣧⠻⠄⠀⡠⠃⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⢑⠀⠀⠀⠀⣏⠀⢀⡔⠀⠀⠀⠠⠊⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⢣⠀⠀⠀⢸⠆⠃⠀⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠱⡀⠀⢸⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠖⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡳⡀⠀⠀⠉⢆⣸⠀⡔⢁⠞⠉⡂⠀⠀⢠⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠜⠀⠀⡇⠀⣀⠴⠲⡄⠀⠀⢀⠔⠊⠀⢸⠑⣄⢀⡀⠁⢻⡜⢀⠃⠀⠀⠅⠀⡰⠁⠀⠇⠀⠀⠀⢠⠞⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⡃⠀⠀⠀⣧⠊⠀⠀⢸⠁⢀⠌⠀⠀⠀⠀⢠⠃⠠⠳⡀⠀⡏⣅⠅⠀⠀⠀⡆⢠⠁⠀⠀⢰⠀⠀⡰⠁⠀⠀⠘⡄⠀⠀⣀⣠⡀ ⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠈⠚⠁⠀⠀⠀⠀⠀⠠⠎⠀⠀⠉⠉⠃⡇⠀⠀⠀⠀⠱⠃⠀⠀⠀⠀⢧⡔⠁⠀⠀⠀⠀⢱⢠⠋⠀⠀⢱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⡀⠀⠀⢀⣸⡿⠁⢿⡀⠀⠀⠀⠀⠀⠀⢠⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠘⣧⠀⢠⣾⠿⠀⠀⠈⢷⡀⠀⠀⠀⣀⣴⡾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⣤⡾⠁⠀⠀⠀⠀⠸⡇⠀⣠⣾⠟⠉⢠⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠶⣦⣄⡀⠀⠀⠀⢀⡟⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⢹⡾⠋⠁⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠉⠻⣧⡄⠀⢸⠁⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠒⠸⣆⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⡏⠀⠀⠀⠀⠈⠻⣆⠘⡆⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢠⡇⠀ ⠀⠀⠀⠀⠸⡏⠉⠉⠙⠛⠻⠿⣷⣦⣀⠀⠀⠙⡄⢿⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡾⠀⠀ ⣦⣄⣀⡀⠀⢳⠀⠀⠀⠀⠀⠒⠀⠙⠻⣷⡄⠐⢧⠈⢷⡠⠀⢻⠄⠀⠀⠀⠂⠁⠉⣱⡏⠀⠀⣀⡞⠁⠀⠀ ⢻⠙⠛⠻⠷⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⢸⡇⠈⢿⣦⡈⣧⡀⠀⠀⠀⢀⣴⠏⠀⢀⣴⠟⠀⠀⠀⠀ ⠈⣷⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡏⠁⠀⠀⠙⠻⣾⣷⣤⣤⣶⣛⣥⣴⡾⠟⠁⠀⠀⠀⠀⠀ ⠀⠘⣧⡀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣄⡀⠀⠀⠈⠻⠿⣷⣦⣤⣤⣶⠿⣦⡀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣶⣤⣄⣀⣀⣤⣤⡿⠟⠁⠀⠈⠙⢦⡀⠀⠀⠀⣸⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⣧⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⡇⠀⣼⠋⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠈⢷⡇⢰⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⡛⠛⠿⢦⣄⡀⠀⠀⠈⣧⡏⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠉⠻⣦⡀⠀⢻⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠈⢳⡄⠸⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⢀⠀⠹⣦⢳⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠈⢿⣧⡀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠷⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⠀⠀⠘⠯⣟⣷⣄⡀⢻⣻⣷⣷⣤⣿⡶ ⠀⠀⠀⠀⠲⢄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⢚⣽⡵⣾⣿⣿⣿⡿⣿⣿⣧⣾⣟⡿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡧⣄⠀⡄⠀⠻⣿⠷⠿⢿⣽⡟⠻⣾⡗ ⠀⠀⠀⠰⡀⠋⠑⣔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣾⣟⣽⡿⠛⠈⠛⠛⢿⣿⣿⣿⣯⣿⣿⠏⣻⣿⣿⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣫⣜⣏⣄⠀⠑⢖⣤⣸⣄⠸⡄⢹⣯ ⠀⠀⠀⠀⠈⠀⠙⣮⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣯⣵⣃⣴⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⠀⠀⠀⢙⣿⣿⣿⣷⣼⣿ ⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⣁⣘⣻⣿⣿⣿⣿⣿⣿⣬⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣾⡟⣮⣲⣶⢾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢚⣽⣿⣿⣿⣿⡇⠒⠲⣦⡀⠀⣾⣿⠋⣭⣿⣿⣜⣻⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠒⣻⣿⣟⣾⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢴⣅⡠⢤⣲⣿⣿⣿⣿⣿⣿⣿⣿⠻⣭⣿⠷⠀⡟⠏⠻⠿⠟⠉⡴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣯⣿⣿⣿⣿⣿⣿⣭⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣶⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢠⠘⣿⡆⠀⠀⢀⠾⣝⡾⣵⣿⣿⣿⣿⣿⣿⣿⣿⡍⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣠⣼⡿⣹⢟⣯⣹⣿⣿⣾⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠘⠺⣿⠟⠀⠀⣬⢻⡝⡾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⣀⡞⣳⢯⣟⣷⢿⡜⣯⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣞⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢄⣠⣽⣴⣶⢦⡙⣮⢳⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢦⣄⠀⢀⡴⣶⢋⡷⣻⡞⣻⢽⣞⡷⣯⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣼⡿⠛⠛⠭⠔⢒⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣷⣄⡘⠲⠿⠗⣮⣝⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣣⠞⡴⣫⣷⣿⣬⢷⣫⢾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⣀⣤⢶⣿⣿⣿⠟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠠⢤⣾⣶⢿⡯⢿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡛⣵⢻⣗⣳⢞⣯⣿⣿⣿⣾⣻⣿⣿⣿⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⢯⡴⣾⡽⠛⠉⣿⣾⣯⣿⣧⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠙⢿⣟⡾⣏⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣘⢷⢺⣝⡾⢭⡋⢍⢛⣿⣷⣹⣿⣿⣿⣿ ⡲⣐⢦⡒⣔⢢⢖⣩⢛⣿⡞⢥⡒⣔⣲⣷⡿⣿⣿⣿⣿⠟⠛⠉⣁⠀⣀⣀⣀⡀⠀⠀⠀⢠⡠⢛⢿⣾⣟⠷⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡮⡝⣟⣮⢣⠦⠈⠣⠍⡴⣾⡽⣿⣽⣞⢿⡿⣿ ⡳⣭⠶⣙⢮⡳⣎⢧⡻⣜⢾⡱⣽⣾⣽⣿⡟⠉⠀⠀⠘⣢⠀⠀⠤⠤⠤⣄⣀⣀⡈⡉⠉⠀⢻⣆⠀⡿⠾⢻⡵⣻⢮⢷⣛⡿⣻⣟⠿⢿⣿⣿⣿⣿⣽⢯⡿⢉⢠⠡⣞⣷⣾⣿⣷⣿⣿⣿⣧⢿⣿ ⢳⢎⡽⢩⠶⣙⢮⢳⡹⠜⣎⠳⣭⣿⡿⠉⠀⠀⠈⢀⠀⠐⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠆⠁⠀⠐⡌⢓⢫⢞⡽⣾⣱⣫⡏⢲⡩⢿⣿⢿⣿⡿⢀⣔⣻⣷⣿⣿⣿⣿⣿⣼⣛⣿⣿⣯⣿ ⠩⢎⠸⡁⢏⠘⢂⠣⠌⠱⢨⠷⢻⠊⠁⠀⠀⠀⠀⠀⠡⠐⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⢂⠢⢘⠸⣙⢦⡉⡷⣸⡵⡊⣿⢿⣻⣿⣳⣿⣿⣿⣿⣿⣿⣟⡟⣿⣿⣾⣿⣿⣿ ⠑⠈⠑⠈⠀⠉⡀⠂⠉⠀⠀⠀⠸⡄⡀⠀⠀⠁⠀⠀⠀⠑⡤⡘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠡⢌⠳⡽⡇⡍⣷⠱⡾⣧⣿⣿⣿⣿⣿⣿⣿⣷⣼⣷⣜⣿⣿⣿⣿⣿⣿ ⠈⠁⠈⠀⠐⠀⠀⠀⠀⠀⠀⠀⡜⠷⠁⠀⠀⠀⠀⠀⠀⡔⠘⠈⠟⠪⢂⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠄⠀⠀⠀⠀⠁⢊⡱⣹⢧⡷⡧⡽⢒⣇⣶⣾⣿⣿⣯⣟⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠠⡀⠢⡀⠸⡆⢀⠄⠀⠁⠙⠉⢙⡦⢀⡀⠀⠀⠀⠀⠀⣆⡐⠄⠀⠀⠀⠀⢀⡶⡫⡛⣵⡿⣡⡟⡆⠀⠀⠂⣉⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠐⡱⡘⣴⡧⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⢦⣄⠀⠀⡙⠆⡀⠀⠀⠔⠡⡪⠊⠥⣿⡳⣵⡫⡇⠀⠈⠉⠋⣋⠉⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⡠⠴⠢⣄⡈⣿⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢶⡈⣾⣴⠄⠈⠠⣸⠂⠀⠀⠹⣿⣇⣷⢺⡆⠀⠀⠙⣒⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠎⢆⠘⢔⠂⢄⡑⠌⢣⠬⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢍⠈⠀⢀⠔⠁⠀⠀⠀⠁⣿⡾⣱⣏⡇⠠⢶⠶⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠊⡕⢀⠈⢔⠠⠑⠤⣹⢠⠀⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⡑⣔⠁⠀⠀⠠⠀⡀⡱⣼⡿⣟⠎⠀⠀⠀⠀⠀⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⡠⢊⠔⠁⠀⠀⡀⠑⠠⣀⢈⠣⢯⠇⠘⡇⠀⠉⣀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡑⢤⣀⢀⣢⣑⠀⠀⡔⢠⢜⣴⣯⡷⣻⡗⠀⠀⠀⠀⣠⣶⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡲⠅⠀⠀⡣⢄⠀⠀⠈⠐⡢⢌⣀⢻⡉⠀⠀⠸⡤⠔⠒⣋⣩⢑⠗⠰⠄⠀⠀⠀⠀⠀⢀⠈⡗⠧⡈⡇⡴⣌⢻⣎⠲⣩⢺⣾⣿⠻⣍⢵⡆⠀⠀⠀⠀⠀⢀⡄⣿⣿⣿⣿⡿⢿⠛⣿⣿ ⠀⠀⠀⠘⠁⠀⠀⢸⠀⠀⠙⠒⢂⡒⠲⠤⣭⠋⠁⠀⠀⠀⢳⣀⠀⠜⢉⡴⠃⠀⠀⠀⠀⠀⢈⠐⢲⡚⠣⣈⢳⣄⣷⣞⠼⣫⣟⣷⣿⡿⣼⣳⣏⡟⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⡿⡀⣾⠟⠭ ⠀⠀⡀⠀⢀⠀⢀⠞⢂⡠⠤⠤⠬⣵⠤⠶⢏⡀⠀⠀⠀⠀⢘⡆⡤⠴⠁⠀⠀⠀⠀⠀⠀⠀⣈⡠⠌⠷⠤⢍⣾⠛⠻⣛⠶⣻⣯⣿⣿⢷⣻⣛⡿⣷⡄⠀⠀⠈⠉⠉⢩⠙⣛⢻⠿⢯⡁⢱⡏⠀⢴ ⠐⠠⢀⠂⢀⠀⠀⢻⠃⠀⡀⠔⠁⠀⠀⠀⠀⠈⠯⣖⣂⣄⣠⣬⡤⣄⣤⡤⡤⠤⠤⠤⠒⠛⠡⠴⣶⡶⠽⢋⡏⣍⣷⣦⣿⣿⣯⡿⣽⢿⣻⣟⣿⣞⣧⠀⠀⠀⠀⠀⢀⠐⢀⡞⢂⡡⢒⠿⣛⣦⢬ ⠠⠁⠄⡀⠄⠈⠀⡏⡐⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢠⣒⣤⣭⣡⡿⢷⡿⣿⣿⣿⡯⣿⣽⣟⣿⣾⡽⣿⡼⠀⠀⠀⠀⠠⠐⠂⠋⠑⡺⣆⢏⣱⣭⢿⣯ ⠠⢁⠂⠀⠀⠠⠀⠹⡇⣧⣀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣀⣠⣤⣶⣯⢿⣻⣿⠟⣰⣿⣿⣾⣟⣾⣿⠟⠁⠀⠀⠀⠀⠀⣀⣤⣠⣉⡙⠾⢿⣿⣯⣿⣿ ⠐⡀⢈⠀⠐⠀⠀⠀⠈⠈⠉⠙⠚⠢⠽⠢⡑⢆⠲⣐⣆⣲⣐⣆⣖⣰⣢⣔⣠⣪⣴⣠⢒⡐⡤⠤⡶⢖⣲⣖⣾⣾⣿⣿⠋⣴⣿⣿⣿⠗⠛⠉⠀⠀⠀⠀⠀⠀⠀⠻⣯⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿ ⠠⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠉⢉⣡⡾⠿⠻⠛⢛⡻⡛⢓⡳⠭⠟⠿⣷⡿⣷⣷⣶⣶⣾⣾⣷⢟⣵⠿⣫⣿⣿⣿⣅⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣉⠉⣛⢿⣿⣿⣿⣿⣿⣿ ⢀⠡⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⣠⠎⠁⠀⠀⡤⠖⠋⠌⠉⠀⠞⠉⢀⢟⠗⠉⢳⡭⢫⠿⣝⡿⣿⣿⣷⣿⣿⣿⣿⣻⣾⢳⣷⣅⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠋⢀⠜⠁⠀⠀⠘⠥⠀⠀⠞⠁⠀⠀⠀⢠⠂⠊⠀⢀⠏⠐⠋⡝⢬⡛⢿⡳⣟⡿⣯⢟⣾⡽⣯⣟⣷⣷⣽⣳⠀⠈⠉⠉⠉⠉⢛⡻⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠂⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢀⠊⠀⠀⠀⠈⢆⠙⢬⢳⡝⣾⡹⢯⣞⣽⣳⢯⣞⢯⣷⢧⣏⠀⠀⠀⠒⠛⣓⣿⣽⣿⣿⣿⣿⣿⣿⣿
⋆˚✿˖° 𝓬𝓵𝓸𝓾𝓭𝓰𝓲𝓻𝓵 ☁️*ੈ✩‧₊˚
⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠠⠐ ⠀⠠⠀⠀⠀⠀⠀⠠⠀⠀⠀⠨⣴⡶⡴⡜⣾⣰⢀⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠄⠀⠀⠀⣘⡿⣽⣗⣯⣿⣼⠽⣵⡆⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⠄⠀⠀⠀⠀⠠⣽⣓⡿⣿⣿⣿⣷⡯⣷⢲⠧⠀⠀⠀⠄⠂⠀⠈ ⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⠓⣿⣿⣿⣿⣗⣯⣿⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠤⣍⡿⣶⡿⣵⣖⡶⣽⠿⠗⠀⠀⠀⠈⠀⠀⠀ ⠀⡀⠀⠀⠀⢀⠀⠀⣠⣶⣤⠄⢸⣟⣿⠁⣀⠈⠋⠙⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⣾⡿⣿⣀⢇⠸⠁⢿⠿⡿⢿⣿⡆⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⡀⠠⠀⠀⠀⠀⣻⣷⣿⣿⡆⠕⣄⢘⣟⠉⠀⠑⢿⠀⠀⠀⠀⠄⠀⠀⠀⡀ ⠀⠄⠀⠀⠠⠀⠀⣹⠿⠟⠋⠀⠀⠀⠱⣹⡄⡘⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⣾⣿⣷⣹⠋⠀⠀⠙⢿⡇⠀⠀⠀⠠⠀⠀⠂ ⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡿⠂⠀⠀⠀⠈⠁⠀⠄⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠉⠀⠀⢀⡇⠀⠀⠈⠀⠀⠀⢀⠀⠀⠀⢀⠀⠂ ⠀⠀⠀⠀⠀⠠⠀⠀⠂⠀⠀⠀⠀⠀⢸⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠁⠀⡀ ⠀⠀⠀⠀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠂⠀⠀⠀ ⡀⠂⠈⠀⠂⠀⠀⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠚⠓⠒⠒⠤⢤⣀⡀⠀⢀⣀⣀⣀⣀⣀⡤⠤⠶⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠐⠤⡀⠀⠀⠈⠙⣷⡏⠀⠀⡀⠀⡄⠀⠀⠰⡄⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⣀⣀⡀⠀⠀⠈⠲⡀⠀⠀⠈⡇⠀⠀⠃⠀⡇⠀⡐⢷⣿⣤⣀⡀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠈⠉⠒⢄⠀⠘⡄⠘⡆⢱⠀⠀⡇⢰⠷⣶⣽⣿⣿⣿⠛⠃⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⢀⣀⠀⠙⢆⠘⣆⢸⡈⣧⢀⡇⡎⢀⣿⣿⣿⠳⠀⠀⠀⣰⣃⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⣀⣠⣤⣀⡉⠒⠤⣳⣌⢦⣇⣼⣸⣡⣷⠋⣸⠏⢉⡤⠂⢀⡴⠋⠀⠈⠉⠓⠦⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠁⠀⠀⠀⠉⠉⠓⠾⣿⣿⠿⠋⢈⣿⡇⣶⣿⣊⣁⡤⠚⣉⠤⠔⠂⠀⠀⠀⠀⠈⠳⣄⠀ ⠀⠀⠀⠀⠀⣠⠤⠖⠢⠤⢀⡴⠋⠀⠐⠊⠉⠁⠀⠈⢉⣙⣒⣦⡏⢀⣿⠟⠁⣴⠋⢸⡏⣠⡔⣋⡡⠤⠔⠒⠒⠢⠄⠀⠀⠀⠸⡄ ⠀⠀⠀⢀⠞⠉⠀⣀⣠⣄⣾⠁⠀⠀⠀⢀⠤⠒⠉⠀⠀⠀⣀⣉⣿⣾⣿⡦⠾⢁⡀⠈⣿⡿⠭⠤⠴⠤⠤⠤⣀⠀⠀⠀⠀⠀⠀⡇ ⠀⢠⠔⡡⠔⠊⠋⠀⠀⠀⡇⠀⠀⠀⠐⠁⠀⠀⡠⠔⠊⠉⢀⡠⠔⠛⣻⢿⣿⣻⡿⢿⡛⠿⢗⡒⠒⠤⣀⠀⠀⠉⠂⠀⠀⢀⡼⠁ ⠐⠛⠛⠤⢤⣀⣀⡀⢀⣄⢿⠀⠀⠀⠀⠀⡰⠋⠀⠀⢀⠔⠁⠀⢀⠎⣠⠏⠸⡄⠙⡄⠈⠢⡀⠈⠒⢄⠈⠳⣄⣀⣀⡠⠖⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠘⠀⠀⠀⢠⠋⠀⠀⢀⠞⢰⠃⠀⠀⡇⠀⠘⡄⠀⠑⡀⠀⠈⢣⡀⠘⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⡇⠀⠀⢣⠀⠀⢱⠀⠀⠀⠁⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⠤⣄⣀⣀⣀⡤⣶⣶⣇⠀⠀⠘⠀⠀⠀⢸⠂⠀⠀⢇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⡠⠤⢤⣖⠁⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⢀⡞⠈⠳⡄⠀⠘⠉⠓⢲⡤⣄⣀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⢀⣎⠀⠀⢀⠈⠀⠀⠀⠀⢸⠃⠀⠀⠉⠉⠓⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠤⠒⡞⠈⠣⡀⠈⢣⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⣀⠀⡸⠀⢀⠀⠑⢀⠀⢃⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⡇⠀⣀⣳⠤⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢒⡐⣒⠍⠉⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠢⠤⣤⠊⠑⡘⢿⡉⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⣪⣶⣇⠀⠀⠀⣧⣠⠤⠄⢤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⠉⠀⢠⢴⢿⠈⠳⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⡼⠀⠀⡼⠁⠀⠀⠟⠂⠀⠀⠀⠀⢀⠸⣄⠀⠀⠀⠀⠀⠀ ⣀⡠⣤⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⡟⠆⡈⡓⠀⣰⡻⠀⠌⢣⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⡞⣾⡇⠀⠀⠀⠀⢰⠃⠀⢰⠁⠀⠈⢡⠞⠀⠀⢀⢔⡠⡉⠀⢸⡀⠀⠀⠀⠀⠀ ⡏⠀⠈⢳⡀⠈⠑⢦⡀⠀⠀⠀⠀⢳⠂⠉⠈⠓⢧⡁⠀⠸⡀⢣⠀⠀⠈⢧⢀⡀⠀⠀⠀⠀⢰⠃⣿⣧⠀⠀⠀⢠⠇⠀⠀⡈⠀⠂⢠⠏⠀⢀⠀⠐⠉⠈⠁⠀⣼⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠑⠐⠀⠠⢱⡄⠀⠀⠀⢸⡠⡀⠀⠀⠀⠙⢦⠀⢣⠈⣆⠀⠀⠸⣯⢿⣆⠀⠀⠀⡼⢰⡟⢻⠀⠀⠀⡜⠀⠀⠸⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⢳⡰⡄⠀⠀⠀⠐⠀⢎⠎⡞⠄⠀⢠⣿⢸⣿⣆⠀⢀⣇⡏⢠⢼⠀⠀⡼⢹⠀⠀⢀⠀⠁⣠⠎⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⢀⠀⠀⠘⣆⠀⠀⡟⣆⠀⠀⠀⠀⠀⣸⡄⠀⠀⠀⢸⣿⣾⣿⡟⠷⣼⡸⢁⡏⣧⠀⣰⠃⢸⣶⢰⠟⠀⡼⠁⠀⠀⠀⠀⠀⣠⣀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢻⡆⠀⣿⠈⠳⣤⡄⠀⡰⡵⢸⣀⠴⣪⢟⡝⠹⣿⣇⣎⣿⠇⡾⠠⡇⢠⢃⣤⠜⠻⣞⣀⡄⢃⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢸⣿⠀⢹⠃⠐⠈⠉⡾⡹⠁⠸⠧⣴⣣⠏⠀⠀⢀⠀⠀⠈⣿⠁⢸⢁⠏⠀⠀⠀⣴⡿⠋⣈⣥⣤⣤⡼⠟⢁⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣆⢸⡅⠀⠀⢰⢣⠇⠀⠀⣠⢆⠛⡄⠀⢀⡼⠀⠀⠀⣿⠀⡞⡜⠀⠀⢠⣿⡿⠁⣴⣿⣿⡿⢋⢀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢄⡀⠀⠀⠀⠀⠀⠹⣄⠀⢠⣿⣿⣿⣼⣧⠀⠀⢸⣼⠀⢀⡜⣱⣿⡄⢹⠀⠈⠀⢀⡴⢨⣿⣷⣿⣾⣤⣄⣿⢿⡤⡼⣿⡿⢋⣴⣫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣬⣷⡲⠤⠬⠥⠶⠦⠤⡀⠙⣿⣿⣿⣿⠁⠀⣾⡏⠀⣸⡿⢁⠏⢳⡸⠖⠚⠉⠉⠠⣼⡿⠿⠋⢉⡴⠚⡋⠁⠀⠀⢹⣾⣟⡵⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⢄⣀⣸⣿⣝⢄⠀⠀⠀⠀⠀⠈⢣⣿⣿⣿⣿⡦⠰⣿⣷⠀⡿⠁⢸⠀⠈⡇⠀⠀⠀⠀⠄⠁⠀⠀⢠⣿⣀⢜⡥⠆⠀⠀⠘⠾⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⢒⠉⠉⠀ ⠀⠀⠀⠉⠉⠛⠓⠒⠲⠤⢤⣀⡈⣿⣿⣿⣿⣿⣿⣿⣿⡘⣱⡦⠂⠀⠀⠃⠀⠀⡴⢃⡄⠀⡀⠀⢸⠋⣠⠞⠀⠀⠀⠀⣀⣘⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣫⠴⠖⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⢿⣿⣿⣿⡷⠞⠀⠀⠀⠀⠀⢠⣾⣾⠟⠀⠊⠀⠐⠛⠒⠳⢤⣀⠀⢐⣿⣿⡯⣾⠀⠀⠀⠀⠀⠀⢀⣞⠕⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢁⣿⣷⡆⠀⠀⠤⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡙⢣⡔⠟⢁⠿⢄⡀⣀⣠⠤⠖⠟⠛⠉⠉⠉⠑⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠄⠠⢀⢀⠀⠀⠀⠀⢀⡠⠤⢀⣀⠀⠘⢿⣿⣿⡇⠀⠀⣠⣿⣿⣧⠀⠀⠀⠄⠀⠀⡠⠖⢁⠼⠁⢀⡷⠗⣁⠤⢒⡦⠒⠴⠊⠀⠀⠀⠀⠀⠀⠀⣠⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⢛⢚⡲⠦⠴⠛⠠⠞⠁⠀⢠⡗⠲⢥⡀⠀⡙⣿⡇⠀⡄⣾⣿⣿⣿⢦⣀⡀⠀⠴⠀⠀⣠⡇⠀⠰⣀⣴⠾⢽⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠑⢦⡀⣀⠄⠀ ⣀⠰⢄⡀⠀⠀⠀⡸⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠤⢧⢹⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣷⣤⣖⡴⠋⣤⣶⣿⠏⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⠀⠀⢠⣟⣁⣀⣀ ⠙⠢⣄⠙⠦⡀⠀⡗⡞⠦⡀⠱⣄⠀⠀⠀⠀⠀⣀⠼⠓⠀⠐⢸⡄⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠋⠀⠀⣿⣿⣇⠤⠞⠁⡂⠀⡀⢀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣤⠖⠉⠀⠀⠀⠀ ⠀⠀⠈⠛⢄⠈⠩⣧⠘⣄⠈⢦⡈⠊⠃⢤⣠⠞⠁⠀⢀⢱⡀⠀⡇⡘⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣸⠟⠉⠀⢀⣀⣀⡭⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⢄⠘⢦⠘⡤⠀⠱⣄⣤⠧⢏⣀⡀⠀⢿⣄⣧⢸⣿⣧⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢠⣤⠴⠒⠋⠉⠀⠀⠙⠢⣄⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢱⣤⠷⠙⡜⠂⠀⠀⠀⠀⠀⣉⡡⠩⠉⠉⠉⠉⠉⠙⠻⣿⣿⡿⠁⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⣀⣀⠤⠴⠋⠀⠀⠀⣀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣄ ⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠙⢦⡀⠀⠀⡴⢋⡡⠔⠒⢤⣋⠠⠟⠁⠀⠀⠈⢿⣷⡤⠖⠚⠛⠛⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡴⠋⠘⠧⠤⠤⠤⢤⣀⠔⠢⠤⠔⠋⢀⡤ ⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⢻⣷⡾⠘⠁⠀⠀⠀⠀⢨⢿⠉⠀⠀⠀⠀⢨⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠠ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⣀⢻⡀⠀⠀⠠⠊⠘⡗⣆⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠸⡀⣀⠀⠀⠀⠀⠀⢻⡇⠀⠀⣶⡀⠐⠈⠙⠒⢧⠀⠀⠀⠀⠀⠁⡏⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⡈⠳⣄⠀⠀⠀⠘⢝⣤⠀⢻⢳⡀⠀⠀⠀⠈⢧⡀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢋⣴⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠈⠳⣄⠀⠀⠈⢳⣤⣬⢧⡙⠦⢤⣀⣀⠀⠙⠒⡲⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠈⠑⠂⠀⠐⠛⠃⠀⠙⠄⣀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⠀⠁⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⡆⠀⠀⠀⠀⣤⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠲⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡏⣠⢮⠷⠂⠀⠀⢀⣴⡋⠀⠀⠀
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⋆。‧⌒⌒⌒⌒ ♡⌒⌒⌒⌒ɞ˚‧。⋆ ㅤ☁ 🫧 • ┈ • ┈ • ┈ • ┈ • ୨୧ • ┈ • ┈ • ┈ • ┈ •🫧 ☁ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ★ ₊ . ° . ⋆ ┊ ┊ ┊. ✧ ° . • ┊ ┊° .✫ ゚. ┊ ✦ ₊° . ☆ ʚ◌꒱ ༝◌≻┄┄◦≺⊹♡⊹≻┄┄≺◌༝ ꒰◌ɞ 𝒲ℯ𝓁𝒸ℴ𝓂ℯ 𝓉ℴ 𝓂𝓎 𝒷𝒾ℴ! ʚ◌꒱ ꒰◌ɞ ʚ◌꒱ ꒰◌ɞ ʚ◌꒱ ꒰◌ɞ ʚ◌꒱ ꒰◌ɞ ʚ◌꒱ ꒰◌ɞ ʚ◌꒱ ╰◦ʚ꩜ɞ◦◦≺⊹♡⊹≻◦┄◦ʚ꩜ɞ◦╯ @bubbleisdu on roblox
⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⢄⡀⠀⠀ ⠀⢠⠞⠉⠉⠑⢶⠉⠀⠀⠀⠹⡄⠀ ⢠⡏⠀⠀⢀⡴⠚⠀⠒⢄⠀⣰⠟⠀ ⠈⠳⣄⡀⡎⠀⠀⠀⠀⢈⡆⠓⢶⡄ ⠀⣠⠞⠁⠳⢄⣀⣀⣠⠞⠀⠀⣸⠇ ⠀⠻⡄⠀⠀⠀⢀⡿⢤⣀⡠⠞⠁⠀ ⠀⠀⠛⠓⠒⠒⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡀⢒⠲⣖⣢⢖⣫⠼⣕⡯⣖⣿⣿⣿⣿⢹⣿⡇⣿⣼⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠊⠀⠀⢀⠀⣀⡌⣓⡶⣭⣿⣽⣳⢯⣿⣽⡿⣶⡿⣶⢭⣻⢼⢾⢸⣿⢹⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡼⠋⠠⢀⠀⣉⠐⠢⢜⡰⣭⡳⣽⢷⣟⡿⣾⣻⢾⣳⣿⢿⡿⣿⣿⣾⣫⣿⣾⡿⠚⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⡿⢁⠈⠐⢄⠈⡨⣔⠧⣝⢮⣵⢻⣜⣟⢾⣻⣗⢿⣝⣟⣾⣻⣇⠈⣿⢾⠟⡿⣮⡁⠘⣻⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠗⠉⠀⠀⠻⡂⢄⠱⣌⠷⣞⣻⣽⣮⣻⡜⠾⣇⢟⣼⠿⡞⢩⡩⡙⣿⣿⠃⠀⢀⡡⡀⢹⡶⡿⢻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠈⢑⣄⠑⠫⣷⣝⡻⢶⣹⠮⣝⢷⣨⡓⣾⣶⣧⣛⣿⣥⠿⠻⣞⠉⠀⠀⠘⣜⣗⣹⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⢱⡄⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⡄⢘⠻⣽⢯⣞⢫⡜⣻⢦⣿⣯⣿⣷⢊⣿⠊⠁⠀⠀⣠⣀⡀⠀⠷⢇⡀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⢀⠜⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⣅⡘⢿⣾⣻⢮⣗⡿⣿⣿⣿⡿⠛⠋⡇⠀⢠⣾⣿⣿⣿⠄⠀⠀⠙⡆⢠⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⡜⠃⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠻⢤⣻⣿⣿⣟⣿⣿⣻⣿⡟⠀⠀⢸⣄⣼⣿⣿⣿⣿⠀⠀⠀⣸⣇⢿⡿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠛⠭⠷⠿⠋⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠂⠙⠹⣿⣿⢿⣷⣿⣿⣧⡀⠀⠀⢾⠀⠙⠛⠛⠉⠀⠀⢻⣿⡿⣟⠨⢾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠙⢲⡆⠀⠀⠀⡔⢻⡟⣿⣫⠝⣹⠙⡓⠦⢥⡁⠤⢙⠻⣿⣿⣿⣿⣷⣾⣿⣾⡀⠀⠀⢀⣄⡀⠀⢸⣟⡿⣽⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣸⣆⠀⠀⠜⡱⢺⡯⢂⣙⣦⢻⣵⢫⡒⡄⢃⠌⠰⡐⢻⣿⣿⣿⣿⣿⣿⣷⣀⣴⣿⡿⣟⣿⣟⣻⣳⠹⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡙⡿⠟⡀⠀⠌⠐⠛⢿⣶⣾⣾⣿⡿⠋⡑⠈⠄⢊⠡⢌⡱⢎⡿⣻⢿⡻⣵⣿⡝⢷⡿⣾⣿⢩⢫⣘⣯⡇⣝⣻⢿ ⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⡰⡄⠐⠈⠠⠁⠀⠈⠉⠉⠁⠀⠂⠄⠡⢈⠆⡱⢊⡴⢫⡜⠧⢎⢳⣿⣷⣾⣜⣿⣿⣿⣷⣼⣿⣿⢷⡘⣜⢻ ⢢⡑⢆⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡐⠃⠀⠤⢴⡀⠀⠀⠀⠀⡀⠰⡈⣅⢊⡔⢣⢎⡱⣋⠴⡣⢝⢣⠺⣸⣿⣧⢿⣼⣾⣿⣿⣿⣿⣿⣯⣿⡳⣈⠧ ⠢⢹⢌⠪⡵⡀⠀⠀⠀⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠽⣹⣶⣧⣦⡿⠀⢂⠌⡰⢁⢣⡑⢆⡣⠜⣥⢪⠱⣌⢣⡙⠼⣌⣟⣭⡡⢞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⡳⣇⠖ ⢆⠥⣊⢧⡱⣛⡄⠠⠑⠠⣃⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⡛⡍⠉⠀⠐⠠⢘⠠⢃⡒⠜⣢⠱⣉⠖⡨⠑⡤⢃⡜⣣⣿⣶⣭⣽⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⡽⣚ ⣎⠳⣘⠦⡳⢥⣛⣆⡩⢱⢌⢣⠽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢰⣴⣷⣦⣤⣁⣒⠈⡔⠡⡘⠤⡁⢎⠰⡈⠔⢣⠐⡣⢜⣽⡻⡜⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢯ ⡜⣧⣙⠶⡹⣆⢳⡼⣱⢣⢎⡜⣲⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢬⣭⣭⡯⠟⢋⠓⡠⢃⡐⢂⠥⢈⠆⡱⢈⠦⡙⣴⡻⢏⢲⡙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣝⠲⣝⠺⣵⣩⢓⢮⡓⠯⠞⡜⢦⡙⢮⡙⠦⡔⠤⡀⠀⠀⠀⠀⠀⠀⠆⠑⠒⠤⠉⢄⠣⠐⡡⠄⢣⠐⣡⢊⠴⣩⢶⡽⣣⢛⡌⢲⡙⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠁⠀⠀⠐⠀⠀⠂⠒⠛⠈⠁⠄⠈⠀⠉⠈⠉⠁⠉⠀⠁⠀⠀⠀⠀⠸⣀⠀⠀⡌⡐⢄⠣⡐⡍⢦⣹⣤⡟⡾⣝⢯⠲⡥⢣⠜⣡⢛⡶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠵⠼⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠛⠷⡶⢷⡞⢉⢩⢿⣛⢧⢻⣜⡳⡝⣎⠳⣡⠃⡞⡰⢫⡜⣳⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣈⠳⢤⠜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠡⣳⠇⠀⣸⢾⡌⢫⡖⣬⢳⡹⢌⡓⠤⣙⠰⡩⢇⡚⡵⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⡠⣊⡴⢊⣠⣵⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⡠⠢⣿⢟⣇⠀⠙⢦⡣⡑⢊⠔⡡⢊⠵⡑⢎⡔⢣⢳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡄⣶⣯⣶⣿⡟⡏⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢱⢻⣧⣿⣾⠀⠀⠀⠑⡌⢢⠘⣤⠉⡖⢩⡆⢸⢡⢣⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢴⢼⣷⣿⡿⢋⡴⠀⣈⡾⠀⠀⠀⠀⠀⡀⢔⠈⡠⠢⠐⠀⠀⠀⠀⣠⡾⣡⡯⣿⣟⣷⣿⠀⠀⠀⠀⠈⠢⣁⠢⠑⡌⢣⠘⢢⢉⢎⡱⢣⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⡌⢾⣿⡿⠏⠐⠉⢀⡠⠜⠀⣠⣶⠀⢠⡪⡪⢂⢊⠄⠂⢀⠔⠁⡐⣴⢕⣴⠯⠛⠛⠛⠉⡁⠀⠀⠀⠀⢀⠔⠂⠉⠒⢌⡂⢍⠢⢌⠢⡑⢣⡝⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣄⣿⡿⠉⠠⢤⣦⣞⣿⣄⢀⢴⠞⣼⢀⠟⠀⡰⡭⠁⠀⢠⡡⠔⢋⢞⣵⠋⠀⠀⠀⠀⠀⠈⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢆⡑⢨⢁⢎⡱⢫⣟⣿⣿⣿⣿⣿⣿⣿ ⠀⣐⣏⣥⡤⠤⠖⠋⠍⠻⠆⡨⣣⠫⣼⡷⢮⣤⣴⣉⣤⠊⠐⠁⣐⢌⠗⣩⠇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠆⡱⢣⢞⡽⣿⣿⣿⣿⣿⣿ ⡐⢻⢋⢡⠰⢡⠘⠤⡉⢆⢋⠜⣤⢿⠭⣂⡾⠷⡼⢟⠁⢠⣴⢟⢵⣮⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣘⠥⣋⢎⢷⣻⣿⣿⣿⣿⣿ ⢈⠡⠊⠀⠓⠒⠉⠂⠑⠂⣻⢜⢕⣹⣟⣿⡱⡤⠁⣈⣤⣲⣮⡿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠩⣙⠻⢾⣜⢎⡷⣻⣿⣿⣿⣿ ⠂⠒⠡⠣⠜⡤⢓⣌⢃⣣⢱⡍⣾⢏⣼⣟⣷⢋⠚⣿⣧⣾⣽⠝⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠣⢄⠋⡖⡹⣯⡞⣽⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠐⠒⠒⠈⢷⢋⣴⢿⢯⠲⢞⡢⢍⠒⡀⢻⡿⠏⠀⠰⡐⡄⠀⠀⢀⡀⠈⠢⠉⠠⣸⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠉⠔⡨⠘⡔⢳⣘⡿⣭⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⣷⣽⣯⡤⠦⠀⠀⣿⣏⢾⡱⢧⣿⣿⡵⣫⠞⣭⣿⣿⣷⢭⣎⢷⣿⣿⢲⠭⣯⣿⡏⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠉⠀⠀⠀⠀⠀⣿⣏⢶⣹⣻⡿⠙⢿⣧⣟⣶⣿⣯⣿⣷⣞⢮⣿⣟⢯⣾⣿⢿⡿⣷⣶⣄⢰⣿⡿⣟⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣮⣷⠟⠁⠀⠀⠈⣽⣿⠯⣝⡺⣝⣫⢾⡵⣮⣟⡼⣙⢮⡵⢳⣫⣿⣿⣿⡵⣣⣿⣿⣷⣾⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⢸⣿⢧⣛⡼⣱⢧⣽⣿⡿⣭⣿⣾⣝⡶⣩⣷⣵⣿⠛⣿⡷⣱⢿⣿⡿⣝⢺⡜⣵⣿⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣾⣾⣷⣿⣿⢯⡳⢵⣻⡏⠛⣿⣿⡿⣿⢿⡶⣿⣿⣧⢻⣏⠷⣎⡷⣮⣿⣿⣤⡀⠀⣴⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢹⣿⢧⣛⣧⣿⡇⢸⣿⢣⡝⡶⣭⣚⣽⣿⣟⢧⡺⣽⣶⣿⣻⣿⡟⢿⣷⣼⡿⢭⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⣽⣽⡿⠁⠸⣿⣎⣳⣥⣯⣿⣿⠿⣹⣾⣥⢏⡿⢿⣿⣿⣓⠾⣿⣿⢣⣞⣿⣿⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⣴⠃⠀⠀⠀⣀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠙⠛⠛⠛⢻⡿⣍⢯⣳⣿⣿⣎⢷⢫⣿⣿⣯⡹⣽⣟⢿⣿⡟⣟⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣴⠛⠀⠀⣼⠃⠀⠀⢀⡞⠁⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢻⡜⣮⣽⡿⠙⢿⣿⣧⣿⣿⣿⣿⡜⢯⡞⣥⢿⣼⣿⡿⠁ 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⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠈⠻⠦⠀⠀⠉⠀⠀⠘⡇⢠⡞⠁⠀⢀⡞⠀⠀⠀⠀⣸⠁⠀⠀⠀⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⣠⡶⠒⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠤⠶⠾⣧⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⡴⠋⠀⠀⢀⡞⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⣷⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣀⣀⣾⠁⠀⠀⠀⢹⣧⠶⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡾⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠸⣧⡞⠉⠉⠻⠆⠀⠀⠀⠈⠁⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡿⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⣠⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⣀⣄⣀⠀⠀⠀⠀⠢⡾⠗⠶⣦⠀⠀⠀⠀⠀ ⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠈⢿⣄⠘⠁⠀⣼⠗⠲⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠈⠿⣤⣀⠀⠀⢿⡁⠉⣳⣤⡀⠀⠀⠀⢀⣀⣸⡇⠀⠀⠀⠀ ⠘⣦⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠙⠗⠀⠙⠁⢠⣤⠾⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠉⠙⣦⠀⠀⠈⠉⠉⠙⢳⡄⠀⠀ ⠀⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠋⠀⠀⠀⠀⢀⣀⣸⡇⠀⠀ ⠀⠀⣿⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠙⠲⣿⡁⠀⣠⡖⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠉⠉⢷⡀⠀ ⠀⠀⠈⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢧⡤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⢀⣀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⢶⡄⠀⣼⠀⠀⠀⠀⠠⣴⣤⡾⠁⠀ ⠀⠀⠀⠀⠀⢿⣀⣀⣴⠀⠀⠀⢠⣶⠖⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⢠⡄⠀⢀⡀⠀⠀⠀⣾⠀⠀⢀⡄⠀⠀⠀⢰⣆⣀⣰⠟⠀⠀⠀⠀⠈⠉⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠈⢣⣄⣀⣸⣿⠾⠋⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠶⠖⠻⢧⡾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠶⠛⠷⠖⠋⠁⠀⠀⠀⠿⣦⣤⠾⢷⣄⣀⡤⠟⠉⠉⠁⠀⠀⠀⠘⠛⣷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⡀⠈⠉⠁⣠⡀⠀⠀⠀⠘⣶⣤⣤⣴⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣄⠀⠀⠀⣶⣄⣀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⣿⠁⠀⠀⠀⣿⣄⡀⠀⢀⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠖⠒⠋⣿⠀⠀⠀⠀⢠⡗⠀⣠⣶⠂⠀⠀⠀⣤⡀⠀⠀⠀⢠⡆⠀⠀⠀⣿⣄⣀⣀⡿⣦⣤⣤⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠟⠳⠦⠼⠛⠳⣤⣤⡴⠋⠈⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⠚⠋⠉⠛⢻⣁⠀⠀⠀⢰⣿⠀⠀⠀⢀⡿⠷⠤⠤⣞⣉⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠉⠉⠓⠒⠒⠋⠁⠀⠀⠀⠈⠉⠛⠲⠶⠶⠶⠖⠒⠶⢦⣤⣀⣀⣀⣤⠶⠖⠶⠦⣤⣤⣤⠴⠞⠛⠉⠛⠛⠓⠒⠒⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢖⠫⠜⠤⢓⡛⡴⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⣑⡪⢍⠜⡨⠥⢚⡴⢏⢷⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⡱⢎⡳⡌⡎⣆⠱⣩⠦⡝⣞⠳⣏⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡽⢮⣝⢳⡝⣶⡹⢄⣓⢆⡷⣹⢮⠟⡼⣞⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣞⣳⢾⣭⣟⡮⣽⢫⣜⡾⣜⣧⢿⣝⣳⡭⣞⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡔⣶⡒⣖⡒⡺⢭⡲⢯⣛⣶⣻⡽⣷⢯⣯⣽⣛⣾⣛⣞⣧⡛⡞⡰⢛⡽⢋⡟⣯⢴⡆⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢖⡏⢾⡤⣛⣤⡓⢦⡱⣉⠦⣅⠫⢷⣳⡽⣞⣷⣟⣾⣳⣯⢷⡽⣮⢇⡳⣰⢙⣬⠲⣍⠞⣤⠣⡞⣥⣓⢯⢦⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⠛⡜⡎⠚⢱⠚⣴⡌⡞⣤⠃⣥⠛⣬⠙⣦⢹⣯⡝⣾⣽⢺⡗⣯⡟⣯⣭⢣⡕⢣⡝⢢⢳⡌⠚⣤⠛⣴⠑⡎⠚⣦⢹⢱⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⢟⡼⡩⣗⢭⣋⢇⡓⢦⢹⠰⣉⡜⢱⡚⡜⢣⢎⡓⣮⡙⣧⢛⡮⣽⢫⣽⢫⠳⢎⡜⠦⣙⠺⢤⡙⡬⢣⠲⢍⠳⢜⡱⢪⡝⢎⡳⣛⡷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣞⢯⢞⣭⡓⠼⣎⡹⢦⣍⠇⣎⡱⣱⢈⡇⡖⣍⢣⢎⡵⣡⠛⡔⣊⢖⡡⢏⠦⣭⢻⢌⣓⡳⢌⣛⠦⣙⢆⢯⣙⠬⣓⡥⣓⡣⣜⢳⣍⡧⣏⢽⣓⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣽⠺⣏⡾⢦⣙⢶⠨⡵⡚⣤⡛⡤⢓⢢⠑⣎⡑⣎⢎⢲⡱⢥⠋⡔⣈⠆⡐⢎⡒⢭⠞⡬⢢⡑⢚⠬⡘⢦⡙⢦⢊⡜⢲⢰⢣⠖⡼⢣⣲⠯⣥⣟⢾⣻⢥⡀⠀⠀⠀ ⠀⠀⣠⣿⣝⣞⡳⢧⢞⡼⢬⠞⡥⢱⠼⣠⠳⡌⢇⢣⠚⡴⢈⡲⢌⠲⣱⢚⡱⠆⠥⢊⠌⡲⢈⢆⡳⣈⢣⠰⠍⠆⡍⢲⠈⡖⡣⠜⢧⠩⠶⣙⠶⣳⡱⣞⢶⡚⣧⢏⡟⣶⠀⠀⠀ ⠀⣰⣟⣮⣟⢾⡹⣗⠻⣜⢇⡻⢥⢋⡞⢤⢓⠜⣢⠓⣌⠲⠡⡜⠬⡑⢦⢹⢆⠳⡘⡡⠊⢥⠃⣎⡗⣄⢣⠒⡍⠒⣌⠣⠜⣰⠣⣙⠮⣑⠻⡔⣋⠗⡼⣚⢦⣝⡦⢟⣞⡹⢾⡄⠀ ⠀⣼⡿⣞⣭⡻⣽⡭⣟⢺⢪⢗⡳⢞⡸⠦⡍⠶⣠⠓⡆⣍⢣⡙⡔⢩⢆⠹⣎⡶⡱⡑⣊⠎⢳⢬⠣⠆⢦⠱⣈⡃⣬⢚⠸⣅⠳⡜⡺⢔⡛⢶⢩⡛⡧⣛⢶⡱⣎⣭⢶⡹⢿⡥⠀ ⣸⣯⣛⣞⣽⣹⣧⣏⣯⢻⣴⢫⡔⣩⠵⣉⢧⢃⡭⣊⠼⣐⢢⣁⢃⡩⢌⢒⠱⢬⠥⡑⢄⢫⡓⣊⠱⣈⠇⡰⢉⡔⡨⢎⡑⣌⡓⣬⢱⣊⡝⣆⢧⡳⣼⡱⣮⣝⢦⡹⢭⣜⢳⣹⣥ ⣿⣯⣷⣯⣾⣵⣫⣞⣭⣳⣜⢳⡼⣡⠳⣍⢎⠳⣅⢧⣊⠶⣰⢊⣆⢳⡘⣌⠸⢄⡃⠶⢨⢒⡱⢎⡱⢪⣜⣰⢭⡐⢧⠳⣜⡲⢣⢏⡶⣩⢼⡘⡶⣍⠶⣹⠴⣭⣆⡟⡷⢼⡫⢯⢟ ⣿⣿⢞⣷⢯⢿⣳⣟⣧⢟⣾⡳⢞⡷⢛⣾⠪⣟⡦⣓⣎⠷⣹⠪⢎⢧⣟⣬⣯⣜⣯⣿⣿⡷⣽⣶⣾⣷⡎⡵⡲⢭⣇⠿⡹⡼⣩⡗⡼⣹⢮⣹⡗⡞⢿⡱⣟⡦⢏⣾⠱⣯⡼⢷⣻ ⣿⣿⣻⣮⣟⣾⢳⡻⣞⢯⡶⣙⣾⣱⣋⣮⢓⡮⣑⢲⢊⠖⢢⣱⣾⣿⣷⢯⣿⣿⣾⣿⣿⣯⣿⣿⣷⣿⣿⣖⡱⠒⣎⠲⢯⡕⣶⢫⣱⡛⢖⣲⡻⣼⢳⣛⡶⣹⢹⣖⡻⣶⣛⣿⣇ ⢻⣿⣿⣿⣾⡽⣯⣽⣫⢏⣿⡱⣖⢦⠲⣌⠣⡜⢡⢊⠬⡈⣅⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣕⢫⡄⣣⢣⢜⡰⢣⠥⢯⡙⢶⠳⣬⢧⢣⡷⢥⣛⢦⣏⢷⣛⣾⡽ ⠐⢿⣿⣿⣽⣿⣳⣽⢻⣞⡶⣛⣭⡓⢯⣜⠳⣘⢣⢉⠦⠱⣌⣿⣻⣿⣿⣻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣧⡝⣆⡳⣊⠵⣋⠜⣣⠜⣍⢳⡘⣎⢧⢺⣱⢫⣏⡞⣯⣝⣾⠆ ⠀⠈⢿⣷⣿⢾⡿⣽⡷⣯⡗⣏⢶⣝⡳⣎⠳⣱⢊⠆⣳⣙⢾⣶⢭⣷⣻⣿⣿⣿⣟⡿⣿⣷⣿⣿⣿⣿⣗⣿⣿⣿⣾⣱⡽⣔⣫⣜⠪⣕⠪⢜⠦⡹⣜⠧⣟⣮⠷⣾⡹⣷⣻⠟⠀ ⠀⠀⠈⢻⣿⣿⣿⢷⣿⣳⣿⣝⣻⡼⣹⢎⡷⣱⢮⡹⣇⣾⣻⡽⢯⣿⢿⣽⣽⡻⣿⣻⣿⣯⢿⢯⣿⣿⣿⣿⣿⣿⣿⣷⣳⢮⡖⡭⢞⡦⣛⢬⡚⣵⢫⡳⢽⣎⢿⡵⣟⣿⠏⠀⠀ ⠀⠀⠀⠀⠙⣿⣿⣿⣯⣷⣟⣾⣳⡻⣵⡻⡼⣏⣶⣻⢼⣳⣿⣝⣿⣟⠿⡿⠟⣯⡷⣛⠻⢞⣿⢟⣻⠻⣽⣿⣿⣿⣿⣿⣟⣯⣽⣹⢮⣳⣝⡮⣽⣚⢷⣭⣳⣟⣾⣽⡫⠒⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣟⣧⣟⡿⣧⢿⣻⢿⣸⣟⣧⣿⣿⣼⣿⣼⣿⡸⠛⡠⣿⡄⣃⢼⡟⡇⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡻⣼⣣⣟⣻⣇⢿⡼⣼⢧⣼⡟⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⣿⣷⣟⣾⣽⣳⣯⣿⣳⣿⣿⣿⣿⣿⣿⣾⣿⣿⣇⣣⣽⣷⣠⣿⣓⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣳⣷⢯⣷⣾⣻⡽⡟⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠝⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣻⢿⣿⣷⣫⢞⡷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠉⠹⢿⡿⣿⣿⣻⣾⡿⣷⢯⣟⡧⣝⣻⣭⣯⣞⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⡿⣿⣿⣯⣿⣽⣳⢦⣝⡷⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⢿⠿⣿⣿⡿⣿⡿⠟⠻⠏⠛⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠛⠉⠛⠛⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣟⢀⡿⠟⣼⢋⣟⠋⣿⢏⡾⣽⣿⠟⣱⣿⢏⡞⣿⣿⡿⠋⡱⠋⣱⢿⣞⣁⣾⣠⡟⣿⡿⠀⠀⠙⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡏⡼⠁⢠⡏⣼⡝⣼⣟⣾⣾⣳⢃⣼⡿⣱⢫⣾⣿⠟⢀⣾⢃⡜⣡⢟⣾⣿⣿⡿⢲⣽⡇⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⢠⢇⠆⣸⢰⣿⢁⣿⣿⣿⣳⠃⣾⣟⡜⢱⣿⡿⢁⣴⡟⡡⢋⡼⢣⣿⣻⣿⣿⢣⢧⣿⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡇⠘⡼⢀⢇⣿⡏⣼⣿⣿⣳⢃⣼⠏⠈⣰⣿⢋⣴⡾⢫⢞⣡⠟⢁⣽⣽⣿⣿⢃⢎⣾⡇⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⢠⠃⡜⣸⡿⢠⢿⣿⣣⢇⣾⡓⢀⣴⠟⣡⣿⢟⣴⣱⠟⣡⣤⣮⣾⣾⣿⣣⢎⡞⡞⠀⠀⠀⠀⠀⠀⣠⣤⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⡼⢀⠆⣯⠇⠜⢸⡟⠟⣰⠟⣴⡿⣣⣾⣟⣵⣿⡿⢃⢜⣿⣷⣷⣿⣿⣽⢯⢎⡜⠀⠀⠀⠀⠀⣴⣿⠿⠛⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠃⢀⡇⣸⢸⠹⢠⣣⣿⠁⣴⣧⡾⢋⣴⢿⣿⣿⠛⢀⢔⣡⢟⣿⣻⡿⣫⣿⠟⣡⠎⠀⠀⠀⠀⠀⠈⠉⡀⢀⣰⣤⣾⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠀⢸⢠⡇⡎⠠⢸⢸⣇⣾⣿⡿⣠⠟⢡⡿⠋⣠⣶⡵⣟⢵⣿⣾⣫⣾⠿⢿⠞⠛⠀⠀⠀⠀⠀⠀⠀⢰⣼⣿⣾⣿⣿⣿⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠃⡇⡏⢸⢡⠃⡆⡗⣿⣿⣿⣿⡾⢁⣠⠤⣀⣼⠟⢫⣾⣵⣿⣯⡿⠟⣁⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⢹⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⠇⣼⢸⣆⣇⣧⣿⣿⣿⣿⣶⣿⣵⣾⣿⣣⣶⠿⣫⠵⠚⠁⠀⣀⣤⣿⣷⣿⣷⡆⠀⠀⠀⠀⠀⡄⠉⠻⣯⣽⡿⡿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⢿⠀⡏⣾⣿⢸⣹⢿⣿⣿⣿⣿⢗⣫⣵⣟⠯⠓⠉⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⡟⠳⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠃⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡎⢰⠃⣿⠘⣼⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⣴⣾⣿⣿⠛⢿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡇⡜⢸⣿⠀⣷⣿⣿⣿⣋⣠⠄⠀⠀⠀⠀⠀⠀⠶⠿⢟⣿⣷⣦⣴⠿⡏⠻⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⡇⢸⡏⢀⣿⠛⢲⣌⡛⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⡇⠸⡇⢸⢸⠀⢠⠃⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⢀⡇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⡀⠇⢸⣺⡀⢸⡀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢨⡇⠀⠀⢸⣿⣌⠉⠙⠂⠒⠸⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⢖⣯⣟⣤⣧⡦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢺⠁⠀⠀⠘⣿⡟⣷⣤⣀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⡥⠤⠒⣻⣿⡿⣿⡿⣷⣤⣻⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⠀⡇⠀⢠⣿⠁⣿⢿⡟⣿⡟⠒⠚⠁⠈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠣⢄⡀⡾⢶⣿⣯⠛⡿⠟⠥⣤⣿⣿⡿⠀⠳⡄⠀⠀⠀⠀ ⠀⢀⣿⠀⡇⢸⡎⣿⠀⣿⢻⡇⢿⡇⠀⠀⠀⠀⠀⠀⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⡟⠛⠖⠾⣠⣼⢿⣿⡇⢠⡶⠃⠀⠀⠀⠀ ⠀⠸⡇⢰⠁⠀⡇⣿⡂⣿⢸⣯⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠻⠿⣷⠒⠒⠛⠒⠛⠻⣅⣼⡄⠀⠀⠀⠀⠀ ⠀⣼⠇⢸⠀⠘⣷⣿⣧⣯⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠒⣶⣤⣤⣤⣤⡠⠤⠗⢦⠔⡷⠛⠡⠟⠒⠒⠒⠁⡰⠃⠀⠀⠀⠀⠀ ⠀⣿⠀⣼⠀⣴⢿⣿⣿⡇⣿⣿⡈⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡏⣿⠁⠀⠀⠘⡲⠶⠶⠶⣤⣴⡏⠉⢉⣤⣄⠀⣀⡀⠀⠀ ⠀⡏⠀⣿⠀⣿⡸⢻⣿⡇⣿⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠃⠏⠀⠀⢠⠎⢈⠀⣀⡴⠃⠙⢿⡀⡏⠀⣸⠉⠀⠙⠷⡄ ⠀⠃⢠⡏⠀⡿⡇⣾⣿⠁⣿⣿⡃⣩⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢹⣿⡇⠀⠀⠀⠀⠸⣄⢠⠞⠁⠀⠀⠀⠸⣇⠳⣦⣿⠤⠒⠉⠉⠉ ⠀⢠⢸⡇⠘⣧⢧⣿⡿⢠⣿⡟⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣾⣿⠁⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⢻⣤⣿⡿⠀⠀⠀⠀⠀ ⠀⡎⣿⠃⣰⠻⢸⣻⣇⣾⠇⣸⢲⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡏⣸⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠡⡇⠀⠀⠀⠀⠀ ⢠⢣⣿⠀⢸⡇⣿⣿⣾⠃⣰⠏⡜⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⢿⣿⠇⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠉⠀⠀⠀⠀⠀ ⠈⣾⡿⠀⡽⢰⣿⠟⠁⣰⠇⢰⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠙⠶⣿⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⢰⣿⣇⡾⣱⠟⠉⣠⢾⡃⣠⠃⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠈⠉⠉⠉⠑⠒⠢⢤⡀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀ ⣿⣿⣾⣫⣥⡴⠾⢛⡩⢞⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀ ⣿⠿⣛⣯⠭⠔⠊⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀ ⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠘⣧⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠉⠓⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣳⠀⣺⣮⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠻⠉⣻⣿⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠨⡏⡀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣤⣤⣄⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠁⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⡤⢤⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣀⠀⠉⠻⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣟⢉⣠⣤⣾⣿⣿⣿⣿⣿⣿⣶⣦⣽⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣶⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⠶⠶⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⡤⠖⠋⠁⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠿⠿⢿⠿⠟⠁⠀⠈⠑⠢⣄⢀⣴⣾⣿⣷⣦⣄⠀ ⠀⠹⠿⠿⠿⠟⠁⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢀⠴⠁⠀⠐⠚⠛⠛⠓⠒⠒⠦⠻⣿⣿⣿⣿⣿⣿⣿⠿⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⡰⠃⢀⠴⠚⠛⠉⠙⠛⠓⠲⠦⢤⣀⡀⠉⠉⠙⠮⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣿⡟⠋⠀ ⠀⠀⠀⠀⢰⠇⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⣄⡀⠉⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠚⠉⠀⠘⣷⠀⠀ ⠀⠀⠀⠀⢸⡄⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢦⣀⠀⠉⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠋⠁⠀⠀⠀⣀⣤⣶⣿⠀⠀ ⠀⠀⠀⠀⠈⣇⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣶⣌⠓⢦⡀⠈⠙⢦⡀⠀⠀⢀⣀⡤⠖⠚⠉⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠙⢦⡀⠀⠙⠒⠚⠉⠁⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢲⣄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠙⣆⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡹⡇⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀⠘⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⢀⣤⣶⣾⣿⣷⣶⣶⣧⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⡇⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⢀⣀⣀⣀⣠⠞⣻⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠞⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⢠⡇⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⡏⡇⠀⡇⠀⠀⠀⢿⣯⣭⠉⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⣠⣴⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠈⠙⠿⠿⠿⠿⠟⠀⡇⠀⡇⠀⠀⠀⠈⠛⠻⠞⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⣿⡿⠿⠟⠋⠉⣤⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣈⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣦⠈⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡼⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣤⠀⡙⠒⢤⣄⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢴⣀⠄⠉⠓⠦⣄⣀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢤⣀⠀⠉⠙⠉⠀⠀⠀⠀⠀⢀⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⠲⢤⣀⣄⣀⠤⠴⢚⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠭⠖⠋⠉⠀⠀⠀⠀⠙⣽⣿⠦⡀⠀⠀ ⠀⠀⠀⡠⠊⡝⠀⣠⡤⠶⠟⠛⠛⠛⠛⠛⠛⠻⢿⣽⡄⠀ ⠀⠀⣜⡥⠎⢠⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄ ⠀⢮⡎⠀⠀⡏⠳⢄⠀⡴⣏⠀⠀⠉⠛⢭⡳⡄⠀⠀⠈⣿ ⣐⠏⡇⠀⠀⣯⠑⢬⠣⡷⠿⠃⠀⠀⠀⠀⠙⣿⠀⠀⠀⡟ ⡼⡆⡇⠀⠀⢳⣽⢆⠳⣷⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⡮⠃ ⢧⣇⠳⢄⡀⠀⠹⣿⣧⠹⡇⠀⠀⢀⠤⠊⠀⠀⠀⣸⠁⠀ ⠀⠙⢿⣦⣌⡓⢤⡈⠉⠒⠓⠚⠉⠁⠀⠀⠀⣀⡴⠋⠀⠀ ⠀⠀⠀⠈⠉⠉⠓⠹⣤⣤⣀⣀⣤⣤⠴⠚⠋⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⠀⢠⡴⠟⠋⠉⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⢸⣧⠜⢁⡤⠆⣰⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡷⠬⠥⠖⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠇⢨⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠀⢜⡀⠁⠉⢁⡠⠔⠒⠦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⠚⠱⢦⣥⡿⢿⣷⣮⡐⣉⣤⣐⣂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡐⢖⡒⠒⢶⡿⠋⠁⠘⠩⣿⣈⡀⣀⣀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠒⣹⣀⣤⢖⠠⢛⢦⠖⣢⣎⣳⠯⣐⠊⠁⠢⡬⠓⢄⠀⠀⠀ ⠀⠀⠞⣀⢿⠋⡧⠁⣠⠖⠝⢀⡏⠉⠉⡱⡀⠑⠅⠢⡀⠘⢲⣋⡑⠄⠀ ⠀⠎⠊⠘⢀⠀⠗⣠⡈⡀⠀⠆⠁⠀⡄⠀⢹⣵⡀⠀⢺⠁⢸⠘⠓⢜⠀ ⠰⠤⠾⠤⠬⠄⠘⠛⡇⡀⡘⡸⠀⠀⠀⠀⠀⣼⢌⡢⠼⠁⠁⠒⠒⠢⣅ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⠔⠀⠦⠄⠴⢤⠔⢁⠈⡐⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠥⠤⠊⠀⠀⠀⠀⠀⠉⠢⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⢉⠀⠻⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⢸⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⢸⠀⠀⠘⡄⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠒⠲⠤⣀⡇⠀⢸⠀⢸⢀⡇⠀⠸⡄⠘⣤⠴⢚⡋⠍⠙⠒⢤⣤⡤⠖⢲⡄⠀ ⠀⠀⠀⠀⠀⢀⡤⠖⠯⠭⠥⡀⠐⠬⣑⠪⡱⣄⣼⠀⡸⠘⢳⡄⡇⣧⢠⣣⠞⠁⠄⠊⠉⠉⠀⢀⡠⠀⡀⡷⠀ ⠀⠀⠀⠀⣴⠋⠀⠀⠀⢀⠀⠀⠀⠐⠒⠷⣝⣞⣿⣇⡇⣇⣿⡇⢷⡸⡼⡁⠀⡀⠀⣀⡤⠖⠊⠁⢀⠴⡽⠁⠀ ⠀⠀⠀⠀⠳⠶⢤⡀⡄⠀⠈⠉⠒⢦⣔⡤⣪⣿⣹⣿⣽⣿⣹⣯⣬⣿⣿⡅⣪⠖⣋⣠⠤⠀⣠⠊⠁⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⢹⣦⣀⠀⠀⢀⣈⡛⢿⢿⣿⣿⡿⣹⣿⢿⣿⢻⣿⣯⡴⠿⠟⠒⠒⠋⣁⠴⣢⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢣⡙⠻⢯⣶⣭⣵⣚⡹⠞⢿⣯⣿⣫⣿⣼⣽⣾⡵⣻⣯⠯⠒⢚⣿⣿⣶⣞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢒⣦⠤⣬⢉⣉⣩⡭⠷⠿⣿⣻⣿⣿⣿⢿⢿⡥⠤⢉⣉⠔⠒⠪⢝⡿⡳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢋⢴⡾⠛⣉⠬⢒⡩⣝⣾⡿⣿⣿⢿⣷⣿⣧⡶⢟⣁⡒⠭⢄⡀⠀⢈⠺⡹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢔⠁⠀⠈⣡⠞⣝⢊⡾⣛⣼⣿⢹⢏⢿⣿⣿⣿⠧⣀⠙⠕⠒⠧⢄⡀⠑⣄⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡎⣠⠋⠀⡠⡮⠋⢈⢿⡾⡝⣏⣿⠙⢸⠸⢎⠎⢻⡽⡷⣮⡑⠢⠤⠤⠄⠈⠓⠬⠋⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣧⠃⣠⠊⠀⠀⠀⣹⡻⢱⢸⠈⡟⠠⠀⡇⠋⡇⠈⣵⢹⣜⠫⣢⢄⠀⠀⠀⠀⠀⠀⣸⠃ ⠀⠀⠀⠀⠀⠀⠀⠸⡏⠐⠁⠀⢀⠔⡵⡵⣡⢿⠸⣀⠙⣼⠀⢇⠀⢡⠀⢿⠀⡇⠙⠒⠯⠭⠭⠭⠭⢽⣆⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⣪⠵⠖⠚⠊⠁⠈⢇⠀⢆⠈⢳⢸⠀⠈⡸⡜⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠋⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⢭⣂⠉⡇⠀⣱⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢧⠱⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠓⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠤⢄⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⢀⠤⢒⠋⠀⢳⠀⠀⠀⠀⠉⠱⣀⠀⠀⠀⣀⣠⣠⣴⣴⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⣻⣧⡀⠀⠀⢀⡽⢒⠞⠲⠦⣘⢦⠌⠓⠲⠄⠀⠈⢱⣤⣸⣿⣯⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡶⣿⣿⣿⣴⠯⣄⡫⡤⣤⠐⢒⡦⠤⠤⣷⠦⡄⣤⣼⢿⡇⡃⣿⢞⣴⡇⣠⣤⡾⢻⣟⣄⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣷⣿⡴⠋⠘⠉⣇⢠⠈⠓⢦⣀⢽⣄⠀⣻⣠⣀⢳⣷⣣⢟⣵⣾⣿⣛⣴⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣩⣿⣿⣷⣟⣇⠙⠲⡄⣾⡈⣇⢯⠣⣉⠸⣿⣿⣷⢿⣪⣴⣿⡇⡿⠋⠁⡖⠲⣄⠀⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣷⣿⡒⣛⣵⣶⣿⠉⣷⣾⣝⣉⣽⣟⣫⣾⣿⣿⣿⣷⢣⡲⣄⠇⠀⢈⠟⠁⠉⠋⠙⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣍⡽⢏⣉⣥⣌⣻⣿⡙⢫⣽⠻⣶⣿⣢⠙⣟⣿⣿⣿⡟⡏⢻⣿⡇⣰⠑⡌⠓⠀⡏⠂⠀⡀⠀⠐⠉⠦⢤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⢦⡀⡟⠀⣨⠾⣼⠏⡼⠋⠸⣢⠟⣾⣾⣦⣏⣻⣿⣿⣿⣿⡿⣿⣷⡷⣏⠠⡃⠀⠀⢼⣀⣰⠘⠦⡈⠠⠀⠀⠀⠠⠾⣤⡀⠀⠀ ⠀⠀⠀⣜⠻⡼⣀⡍⠉⣄⠁⢄⠀⠀⠈⣠⠄⠈⠐⠯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⢹⣯⠓⠳⠶⢧⡂⢤⡽⠲⢸⠤⣀⠀⠀⡀⠀⠠⠤⣧⠀⠀ ⠀⠀⢀⡿⢘⣌⡒⠹⡄⢘⡠⠀⠃⢠⣷⠁⠀⠀⡀⡠⢎⣿⣾⣿⣿⣿⣿⣿⡷⢾⣇⡴⢫⠀⢰⠁⡹⣿⣿⢝⠲⡞⣐⠒⢶⠢⣈⢒⣀⣀⣞⠀⠀ ⠀⣀⣻⡏⠝⡼⡌⠓⠰⢌⣳⣣⢇⢹⠁⠤⡃⠈⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣾⡇⢳⣤⠗⣺⢆⠘⠌⣿⣼⡟⢶⠭⠍⣣⡤⡠⢤⢀⣒⣺⠄⠀ ⠸⣯⡉⠣⣠⣼⡿⡀⢀⣶⣶⣹⣼⡷⠶⠏⠀⠠⠤⠀⠀⣠⢿⣿⣿⣿⢿⢻⣿⣿⡇⠛⢻⡀⠈⢚⣟⡼⡿⡟⡞⢤⣑⣦⡑⠹⣦⣶⡉⠈⡦⠀⠀ ⠘⠤⢲⣟⠉⡱⠿⠚⣿⣿⣿⢿⣷⣍⠑⢀⠀⠀⠈⢫⢲⢭⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣯⣿⣽⣝⣿⣽⣿⣳⡙⣦⣈⠱⢏⣛⢯⡉⠁⠀⠀ ⠀⣾⡭⡟⢩⠳⣬⢍⣼⣿⢪⢯⢾⡪⣄⢢⣙⣒⠒⢒⣐⣠⣼⣿⣌⣻⣿⣿⣿⢿⣿⣿⣿⣏⠛⢿⣿⣟⣿⢿⣽⣿⣿⣦⣽⡷⣾⠒⠢⠇⠀⠀⠀ ⠀⠙⢻⣵⣶⣞⠟⣵⣿⢽⣸⠈⣯⡿⣫⡇⡍⢦⠻⡽⣿⣽⣿⣿⢿⣿⣿⣿⣿⣿⣷⣟⣽⣿⣧⣀⣿⣿⣿⡟⣋⣿⣿⣿⣿⣿⡄⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⣼⣼⢾⣦⣥⢗⣿⡃⡰⣾⢿⢸⢙⣮⣪⡂⣻⣾⣿⣿⣿⣿⣧⣽⣿⣿⠏⠙⣿⡿⢿⣿⣿⣾⣡⣾⣾⣿⣿⣼⣿⣿⣻⣿⣿⣯⣶⣤⣀⠀ ⠀⠀⠀⠉⢹⣾⡾⣻⣾⣏⢷⣷⣝⣾⣷⣾⣾⣾⢾⣷⣿⣿⣿⣿⣿⡿⣿⡟⠛⢀⡔⠁⠀⢠⣿⣿⣿⣿⣷⣿⣿⣿⣭⣄⣠⣿⣿⣿⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠈⠉⠉⠹⠟⠿⣿⢻⣾⢿⡿⠉⠁⠀⠈⠹⣭⡐⣌⢛⠇⠘⢿⡇⠀⡞⠀⠀⠀⡼⠀⢹⣿⣿⣿⣿⣿⡛⠿⣝⠱⠽⢞⣽⣿⠟⠛⠛⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⢀⣴⣶⣿⣾⣷⣜⣊⣣⠀⠀⠑⣸⣁⠀⠰⠞⠀⠀⡾⠛⠛⣿⡿⢿⣇⠀⢈⣉⣉⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠿⠛⠁⣠⠞⠛⠓⢤⣾⣷⡌⡞⡓⠀⠀⠀⠀⠀⢠⣋⣙⣾⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣿⣿⣷⣿⣤⣀⣳⣤⣀⣀⣏⡘⣷⣴⡽⠂⠀⠀⠀⠀⠐⠯⣉⢟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⢿⣿⡿⠋⠉⢠⠋⠀⢁⡟⣿⡷⠆⣈⣓⠂⠀⣀⢀⣠⣜⠋⠙⠛⢻⡏⣿⣿⣿⣿⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠉⠁⠁⠀⣿⣁⣀⢒⣃⡤⣴⡾⡆⠘⣎⠉⠈⢦⡉⢯⡉⠉⣿⣿⣷⠂⠀⠘⠃⠘⡿⠿⣿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡙⠋⠁⢸⡄⢇⡴⢯⢓⢤⢤⣕⣄⡏⢙⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠈⠛⢿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⡇⠀⠀⠘⡄⢘⣷⡀⣺⠀⠙⠫⠞⠁⢨⣿⣿⣟⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠃⠀⠀⠀⠙⠞⢹⣿⠁⠀⠀⠀⠀⠀⠘⠻⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠈⠀⠀⠀⠀⢀⣞⣿⣿⣿⣿⣿⣿⣷⣄⠀⣠⢴⣪⣷⣾⣿⣿⣿⣟⣿⣟⣿⣷⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠄⠀⠀⠀⠀⠀⠀⢀⠿⣿⣿⣿⣿⣿⣿⠟⠋⢉⣿⣿⣿⣿⣿⣿⣝⣿⣟⣟⣿⣪⣿⣗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⢀⡠⠴⣚⢩⣟⣿⣿⠿⠋⠀⡀⣰⣿⣿⣿⣿⡿⡾⣿⣻⢿⣎⠻⣣⡶⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢃⡀⢀⣄⠀⠀⠀⣠⠖⣉⣵⣮⣵⡿⠋⠀⡄⠀⢤⣾⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⢺⠶⡺⠍⢙⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣫⡥⢼⣷⢿⡷⣴⣿⠛⣸⣿⡿⠟⠁⠀⠀⠊⢪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣛⣸⡪⢃⡍⠂⢹⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⡿⣾⣾⣽⣛⣽⣞⣿⡻⡁⣿⣿⣯⠄⠀⠨⠢⠌⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⢧⢔⢁⠒⢁⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⡠⢿⡿⢿⠷⢛⣫⠟⢁⣗⣵⣿⣿⠋⠀⠀⠀⠐⣵⣿⠟⠛⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣝⣈⢠⠊⠅⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⢠⢚⡹⣻⣿⣾⣞⢡⡟⣠⡾⠃⣿⣿⡿⠀⠀⣠⣴⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢖⠓⡈⠀⢡⠀ ⠀⠀⠀⠀⢀⢾⢅⣉⠲⣕⢶⠶⢚⡟⠉⢉⣴⣡⣼⣿⠟⠁⣀⣼⣿⣿⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⠀⡀⠀⠀ ⠀⠀⠀⠎⠱⣬⡇⣿⣽⣧⣯⡴⣾⣶⢾⣿⠿⠛⠉⠀⢄⣨⣾⣿⣿⣵⣷⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⡂⠀⠁⠀⠀ ⠀⠀⡠⢶⣜⠧⣿⠟⣿⢈⣇⣷⣿⣷⡞⠁⠄⠄⠠⣄⣽⣿⣿⣯⣛⡋⠙⠛⠿⠆⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠡⣀⠺⢴⠿⢴⡿⡻⢱⠃⢻⣿⠁⠀⢀⢆⣴⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢠⢀⣉⣭⣭⣽⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⢸⠙⠳⠻⣵⣞⡚⣡⣶⠿⠟⣂⢤⣴⣿⣿⣿⡟⡹⠻⣿⣿⣿⠞⠳⠀⠀⠀⢰⢳⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⠇⠇⠃⠀⠀⠀ ⠀⢀⡤⠊⠙⠿⠯⠧⡴⠾⠋⠁⢤⣮⣿⣿⣿⣿⣿⠏⠘⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣥⡞⡠⠃⡀⠀⠀ ⠀⠁⠀⠀⠀⠀⠂⠀⣀⣀⣪⣾⣯⣻⣿⣿⣼⡟⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⢠⣿⣿⡿⣿⣿⣯⠜⠁⠀⢀⡠⠊ ⠀⠀⠀⠀⠀⣠⣦⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣤⠋⠹⠳⡀⠀⠀⠀⠀⠀⠀⢀⣤⡄⢀⡗⠀⠀⠀⣼⣿⣿⠕⣿⣸⣽⣄⡠⠒⠉⠀⠀ ⠄⠐⠂⠹⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⡄⢣⠣⡀⠀⠀⠀⠀⠀⠀⢀⣁⠀⠉⠁⠀⠀⣰⢿⣧⣟⣀⣿⢽⠛⡇⠀⠀⠀⠀⠀ ⠀⠐⠀⠄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⣌⠑⠀⠀⠀⠀⠰⢦⣾⣿⣶⣿⣿⠀⠀⣴⢷⠿⡿⢉⣾⡟⡜⡰⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⠉⠀⠹⠿⠁⣠⠾⣹⣻⣟⣥⢿⠫⠾⠒⠁⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⣰⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⣠⠎⠒⣲⣉⠵⠊⡡⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠘⢳⣤⠤⠤⠞⠉⣲⠞⡏⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢎⣙⢬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⠀⠀⡆⠀⠀⠀⢰⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⠉⠙⠛⠛⠿⢿⣿⣿⣿⣿⠀⠀⠀⠀⣈⢢⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣣⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⠃⠀⢀⡠⠄⠀⠠⢶⣄⣈⣛⠿⠿⠔⠂⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⣿⡟⣿⣟⢿⣿⣿⣿⣿⣿⡃⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢯⣳⣿⣿⠶⣭⠿⠿⣿⠋⡷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⣿⣿⣷⣒⠉⢙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⠬⠭⠿⠯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣷⡀⢇⠾⠾⠿⠿⡸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣦⣄⣤⣤⣤⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣀⣴⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠁⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠉⠛⠷⣦⣄⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⡜⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⢠⣿⠏⠀⠀⠀⢸⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢣⡀⠀⠀⠀⠀⠙⢿⣆⣿⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠙⢷⣤⣀⠀⠀⠈⢿⣿⣟⠀⠀⠀⢠⣿⠀⠀⠀⣰⣿⠁⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠈⠻⣧⡀⠀⠈⣿⣿⠀⠀⣰⡿⠃⠀⠀⣰⣿⣷⣿⡿⠿⠛⠛⠿⠷⣶⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⢹⡇⠀⠀⢹⡿⢰⡊⠁⠀⢀⣠⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣤⡀⠀⠀⡇⠀⢠⡿⠃⠀⠈⠙⠛⠛⣛⡉⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠄⠀⠀⠀⠀⠈⠛⣶⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡶⠿⠿⠿⠿⠿⣷⣦⣀⠐⠉⠀⠀⠀⠀⠀⠀⠀⣧⠈⠳⢶⣦⣤⡶⠾⠛⠁⠀⠀⠀⠀⠀⢀⣤⡶⠟⠛⠻ ⠀⠀⠀⠀⠀⣠⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠛⠁⠀⠀⠀⠀ ⢦⣤⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣦⣄⡀⢹⠀⠀⠀⠀⠀⠀⠀⢀⡤⠈⠛⢿⣷⣶⣶⣶⣶⣶⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣶⣄⠀⠀⠀⠀⠀⠤⡤⠤⠾⠛⠉⠀⠀⠀⠉⢉⣲⣤⣤⣤⣀⠀⠀⣴⠏⠀⣆⠀⠀⠈⠛⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠟⠉⠀⠀⠀⣉⢸⣿⠀⠀⣿⡀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠻⢶⣶⣦⣤⣴⣶⣾⣿⣿⡟⠁⠀⠀⣠⣴⠟⠁⢸⣿⡆⠀⠹⣷⡀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⣼⡿⠀⠀⠀⣼⡟⠁⠀⠀⢸⣿⣿⡄⠀⠈⠻⣶⣄⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⣿⠁⠀⠀⠀⢸⣿⠛⣿⣦⠀⠀⠀⠉⠳⡄⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⣿⠀⠀⠀⢀⣿⡟⠀⠈⠻⢷⣤⡀⠀⠀⠘⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢰⠃⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠉⠻⢷⣤⣀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠁⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⣀⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣷⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⠀⠀⠀⠀⠀⠀⡀ ⣻⣯⡆⠀⠀⢀⣲⣟⣿ ⡻⣿⣗⠄⠀⣾⣯⣮⠃ ⠘⢿⣳⣿⣴⣷⣻⠓⠀ ⠀⠙⣿⣯⡕⣿⠛⠀⠀ ⠀⠀⠽⣻⣬⠏⠀⠀⠀ ⠀⠀⠀⠹⣸⠃⠀⠀⠀ ⠀⠀⠀⢨⣇⠀⠀⠀⠀ ⠀⠀⠀⢠⢿⡆⠀⠀⠀ ⠀⢸⣄⢼⠜⡅⠀⠀⠀ ⠀⢘⣧⣼⠠⠧⠀⠀⠀ ⠀⠈⣻⡵⣰⢏⠀⠀⠀ ⠀⠀⠈⡷⡿⡎⢴⠆⠀ ⢀⡀⠀⣯⠀⣿⣾⡁⠀ ⠘⢿⡤⡿⠀⣟⣿⠀⠀ ⠀⠈⢟⣥⠀⡿⠁⠀⠀ ⠀⠀⠸⣷⠄⡧⠀⠀⠀ ⠀⠀⠀⢺⢡⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣈⣈⣀⣸⡏⠀⠀⠀⠀⠀⠀⢹⡿⠁⠀⠀⠁⠉⠈⠀⡞⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⠿⠟⠛⠛⠛⠛⠿⠧⡤⠤⣄⣀⣀⠀⡾⠁⠀⠀⠀⠀⠀⠀⡼⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣷⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣾⣗⡛⢋⣧⣼⣿⣿⣷⣶⣦⣤⣄⣀⢼⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢛⠳⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣙⠷⡌⣦⡘ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠸⠤⢛⡿⡗⠟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠟⡀⠁⢰ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠯⠻⣿⣿⣿⣿⠠⢻⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡐⣢⣼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⡟⣼⡟⣹⣿⠟⣿⣻⣿⠆⠼⠞⠻⣿⡷⠿⢶⣷⣺⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⠀⣿⠟⢽⢏⡴⣿⣏⣿⣆⠀⣸⡀⢸⠁⠀⠀⠸⣟⣿⣿⡆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣥⣾⣿⣿⣿⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⢹⡏⢼⣷⡼⡫⢊⣀⣹⣿⣿⣿⣧⣸⣧⣻⣀⣀⡀⠀⠙⣿⣏⢻⡼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠁⣼⣿⣿⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢸⣸⣫⣾⣿⣷⣿⣷⣶⣦⣹⣿⣏⢿⣿⣿⣿⡤⣤⣬⣯⣶⣾⣷⡷⢳⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣷⣌⠙⢿⣷⣊⠙⠻⠿⢛⣡⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣧⠃⠸⣸⡸⣿⣿⡇⠤⣼⣿⡿⣿⣻⣿⡷⣟⠿⣿⣿⠉⢉⣽⣿⡿⣿⣿⣷⣿⣿⠀⣿⡿⠹⣿⣿⣿⣿⣿⣿⣷⣤⣙⣿⣿⣿⣿⣿⣿⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣸⡎⠀⢀⡇⣧⢻⣿⢧⣀⣿⣿⣴⡷⠊⠘⠳⡀⡀⠈⠻⢶⠼⣿⡧⣄⣽⡏⢹⣿⣿⣾⣿⠇⠀⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⣿⣿⣿⣿⣿⢿⣻⣯⣿⣿⣿⣟⣵⣾⣿⣿⣿⣿⣷⣸⣷⣿⠀⠁⠀⠀⠓⠊⠑⠒⠤⠬⠍⠁⠀⠀⠀⠀⠉⠙⠛⠚⢉⣼⣿⣿⡏⢀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣯⡸⣿⣿⢷⣿⣿⣟⣟⣿⣾⣧⣿⢿⣿⣿⣿⢗⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠟⢚⣿⡿⠆⣶⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣽⣵⣽⣿⣿⣿⣎⣽⣟⣿⣿⣽⣿⣿⣿⡜⣄⣀⣀⣤⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡿⠓⠓⣈⣴⣿⣿⣿⡿⡼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣽⣽⣾⣿⣿⣿⣿⣿⣿⡍⠉⠉⠙⠢⢔⡞⠿⠿⡇⠀⢀⡀⠀⣀⣤⣾⣿⣿⣴⣶⣿⣿⠿⣻⣿⡿⣱⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣯⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⢉⣼⣟⣉⢠⣾⠯⣿⣷⣷⣾⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣯⢠⣿⣿⣿⣵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣛⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⡿⡏⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠇⣼⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⢀⣀⣀⣤⠤⠔⣺⣿⣿⡿⣯⣥⣾⣿⣻⣿⠿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⢟⠏⢀⣸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡍⣰⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⡏⢀⣴⣾⣿⣟⣂⣾⠿⣛⣵⣿⣿⡟⣶⢿⣿⣿⣿⣿⣿⡏⣰⣾⣿⣫⡮⣺⣿⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⢣⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢟⣽⣏⣿⢿⠋⢝⣯⣿⣟⣥⣽⣷⡈⠋⢿⣿⣿⣿⣿⣷⡕⡽⡁⠋⣰⣿⣏⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣼⠽⣿⣿⢛⢐⣻⣿⣿⣿⣿⣿⣿⣿⠟⣠⣿⣿⡟⢳⣤⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠙⣿⣿⣿⣿⠇⣾⡿⠣⢄⣻⣽⣿⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⠃⢰⣧⣿⣘⣿⣯⣵⣿⣿⣿⣿⣿⣿⣿⣿⣫⣾⣿⣿⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠘⢿⣿⣿⠀⠸⣷⣄⡀⣷⡧⢻⣷ ⣿⣿⣿⣿⡿⢿⣿⠛⠋⠉⠀⠀⠙⠌⠉⢻⣇⠀⣿⣿⠏⣺⣧⣿⣿⣿⣿⣿⣿⡟⣡⣿⠟⢹⣟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⢿⣦⡀⢹⣿⠀⠀⢸⢹⣿⣿⠠⣼⣿ ⠊⠉⢁⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣾⣿⣿⣇⣿⣿⣿⣿⣿⣿⣫⣾⣿⣿⣏⠀⢈⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣀⣠⣤⣤⣽⣷⣈⣿⣤⠀⢸⡿⣿⣿⢀⡡⢿ ⢠⣴⣿⣶⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⡏⣿⣿⣿⣿⣿⣿⣿⣫⣾⣿⣿⣿⡟⢠⣿⣿⡟⠉⠛⡻⢿⣿⣿⣿⣿⣳⣾⣾⣿⣿⣿⡿⡟⠁⠺⣿⣿⢽⣀⢈⣿⣿⣿⣼⡇⠻ ⠿⠟⢻⣿⣴⢯⣿⢀⣠⣔⡶⠶⢦⣤⣠⣾⣿⣿⣇⢸⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡿⡟⠂⣐⣠⣤⠤⠖⠖⠟⠛⣛⣻⡭⠉⢉⣿⠁⠀⠈⠐⢻⣿⣼⣞⡌⣽⣿⣿⡇⢰⣦ ⠀⢠⣿⣟⠓⢊⣽⣿⣿⣆⠀⠀⠀⠈⣿⡟⠋⠁⣹⡇⠳⡜⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣇⣾⣿⡛⠛⠓⠯⢠⣴⡟⠻⢄⣠⣿⠓⠀⣠⡷⠀⠸⡿⣿⣿⣿⣟⣷⣿⣷⣽⣿ ⢀⣿⣿⡄⠀⠐⣿⣿⣿⣿⣆⠀⠀⠀⢸⣥⣄⡺⠿⡿⣦⣉⠪⢮⢻⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠐⣾⠋⠩⠂⣸⣿⠟⠀⠀⣋⣤⠀⣸⣟⣿⣿⣿⣷⡿⣿⣿⣿⣿ ⣼⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠹⣿⡟⠱⡀⡿⣻⣿⣿⣶⣿⣽⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣶⣼⣿⣿⣿⣿⣿⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣶⢀⣿⣿⣱⣿⣷⣿⣷⣤⣠⣉⣠⣦⣿⡷⠻⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣿⢇⣿⣿⣿⣿⣿⠛⠿⢿⣿⣛⣋⣠⡤⠜⡋⠒⠒⠒⠒⠭⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
°❀⋆.ೃ࿔*:・₊˚⊹ ᰔ𝓴𝓲𝓼𝓼 𝓶𝒆 𝓹𝓵𝒆𝓪𝓼𝒆°❀⋆.ೃ࿔*:・₊˚⊹ ᰔ
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣾⣶⣤⡀⠀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⢐⠁⠁⠀⠄⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⠀⢁⣑⠀⠀⠀⠀⡀⠤⣄⠄⠀⠆⠀ ⠀⠀⠀⢀⠀⠀⠠⣠⠀⠀⠀⣹⢿⡿⢿⣾⣿⡿⠀⠀⠀⠸⠀⠀⣨⠀⠀⠀⠀ ⠰⡈⠀⠈⠆⠠⠭⢀⣀⣠⣾⣿⣭⣿⣾⣟⠋⠀⠠⣀⣀⣀⡠⠊⠁⠀⠀⠀⠀ ⢀⠈⠢⢆⡀⠀⢰⣿⣟⣻⣿⠿⠿⣿⣿⡿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⢿⣿⣿⣿⣿⣉⢅⣿⣿⣶⣿⣿⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠛⣾⣿⣥⡀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⡿⣃⣈⠻⠿⠟⠛⠛⠓⢄⠈⠻⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠜⠉⠉⢁⣾⣿⣿⣶⣿⣶⡀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠌⠂⠈⠀⠀⠸⠿⠛⠉⢻⣿⣿⡇⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡀⠀⠀⠉⢆⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⢦⣄⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⠀⡏⠀⠀⠀⠀⠉⢃⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣷⠓⠀⠀⠀⠀⠀⠀⠈⣧ ⠀⢸⠀⠇⠀⠀⠀⠀⠀⠀⠅⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠉⡦⠀⠀⠀⠀⠀⠀⠀⢛ ⠀⢸⡄⠅⠀⠀⠀⠀⠀⠀⢐⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢏⢎⣽⡓⡏⠁⠀⠀⠀⠀⢀⠸ ⠀⠈⣷⠊⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⢧⢁⡏⠀⠈⠊⠀⠀⠀⠀⠀⠐⢪ ⠀⠀⠸⣯⢉⠀⠀⠀⠀⠀⠀⠣⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣩⢏⠁⠀⠀⠀⢸⢮⠆⠀⠀⠀⠀⠸ ⠀⠀⠀⠹⣧⠑⡠⠀⠀⠀⠀⢀⡇⡀⠈⣇⢀⣠⣤⠴⠖⠒⠛⠉⠉⠉⠉⠉⠉⠙⠳⠾⡿⢠⡀⠀⠀⠀⢸⠨⢢⠀⠀⠀⠀⡤⠏⠀⠀ ⠀⠀⠀⠀⠘⣧⡽⠷⢦⣄⡞⠛⠓⢦⡄⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠸⣀⡐⠀⠐⡇⠀⡇⠉⠈⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⣠⠿⢦⡀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠻⢿⣤⠇⡗⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡷⠀⣏⠀⢀⡗⠚⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⣷⡋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡀⠀⠈⣹⡋⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣽⠒⠛⠉⠙⠲⠖⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒⠋⠉⠉⠙⠛⠒⠦⢤⣄⡀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⢶⣄⠀⠀⠀⠀⠘⣧⠀⡀⠀⠀ ⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⢻⢰⠟⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠙⣧⡀⠀⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⢀⣴⣏⠀⠀⠘⣧⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⣶⣤⣤⣤⣼⣿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠙⢿⠿⣿⠋⠉⠀⠀⠀⡿⡗⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣏⠀⠀⠀⠀⠀⠰⡟⠀⠀⠀⠀⠀⠹⠏⠻⠇⠉⠀⠀⢰⡞⠋⠉⢉⡗⠀⠀⠶⠫⠞⠁⠚⠁⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠠⠞⠡⠞⠰⠞⠀⠀⠀⠀⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣆⢀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⡆⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⣀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠦⢄⣙⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⣀⣀⣤⡴⠖⠿⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⣥⡶⠖⠛⠛⠉⠉⠙⠛⠓⠒⠒⠲⢿⡅⠀⠙⣿⠋⠙⣧⠀⠀⠀⠀⠀⠉⠙⠲⢦⣄⠀⠀⠀⠀⠀⢀ ⠀⠀⣀⣀⡀⠀⠀⠀⡞⠁⠘⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠿⠂⢦⠀⣤⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠆⠀⠀⠀⠀ ⣰⣏⡁⠀⠉⠛⢦⣧⠀⠀⠀⢙⣿⡿⠟⢷⡄⠀⠀⠀⠀⢀⣾⡿⢷⣤⣀⣲⣾⣿⣿⣯⠉⠻⣷⣴⡀⠀⣤⡶⠋⠁⠙⣿⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠞⠚⠉⠉⠁⠀⠀⠀⠀⠉⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠙⠿⣄⠀⠀⠀⠀⠀⣠⣤⣤⠶⢶⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡤⣄⠀⠀⠀⠀⠀⠀⣶⠿⠁⠀⠀⠀⠀⠐⠀⠀⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⢸⣗⠆⣮⣽⢂⣟⠀⠀⠀⠀ ⣀⡾⣻⢍⣧⡙⢎⡷⠀⠀⠀⠀⣼⠟⡁⠂⠁⠘⠀⢀⣤⡀⠀⣤⣦⣴⣴⣤⠀⣴⣔⡀⠀⠀⢿⡄⠀⠀⠀⢹⣚⣎⣹⣌⣾⠃⠀⠀⠀ ⠀⢷⢯⡞⢿⣉⢮⣻⠀⠀⠀⠀⣿⡇⠎⠀⠌⠀⠡⠘⠏⠁⠈⠛⠛⠚⠛⠉⠀⠘⠉⠁⠀⠀⠘⣯⠀⠀⠀⠀⠉⠉⠁⠈⠀⠀⠀⠀⠀ ⠀⠘⠷⢭⡶⠾⠖⠋⠀⠀⠀⠀⣿⡇⠀⢂⠠⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢀⣠⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠿⠋⠀⠀⠂⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠾⠛⠉⠐⠂⠹⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡿⠇⠀⠀⢀⠀⠀⠀⢀⠀⠄⠂⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠀⠠⠐⢀⣠⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⢁⠰⠀⠌⠠⠀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⠠⠐⠀⠁⠀⠀⠠⠈⣴⢀⣶⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣏⣞⣠⣁⣬⣦⠝⠋⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢁⠸⣟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠛⠟⡛⣯⠁⠆⠡⢀⠠⠀⠠⠐⠈⠀⡀⠄⠀⡀⠀⠐⠀⠐⠀⠀⡀⠐⠀⢀⠀⠂⡔⣿⡄⠀⡶⠛⠲⠋⠉⢹⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡉⠄⠃⠄⡐⢂⠠⢀⠀⠠⢀⠐⠠⢀⠡⢈⠐⠠⠁⢂⠀⡐⠈⠄⡌⢒⣸⡏⠁⢈⣧⡀⠀⣾⡶⠀⠙⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣍⠲⡐⢄⢃⠰⢠⠉⣆⠡⠒⡄⢂⠔⢢⠘⡠⢌⠰⢠⠐⣈⠒⣌⣲⡿⠉⠀⠀⢼⡁⠀⢈⠁⠀⣼⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣌⠦⢌⠢⢅⠓⠤⡙⣘⠰⡉⡜⢂⢣⢑⡊⢜⠡⣊⣴⣭⠾⠋⠀⠀⠀⠀⠈⠓⠲⠚⠓⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣻⣾⠾⠷⠷⠞⠛⠛⠛⠋⠛⠛⠛⠛⠿⣿⣏⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡤⣄⣄⠀⠀⠀⠄⠀⠂⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣤⣆⣄⠠⠁⠤⠅⠀⢓⡦⡋⠁⢂⠀⠀⣈⣛⡇⠀⠄⠀⠁⠀⠀⠃⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣡⠋⢎⡏⠉⡯⣣⣆⠀⢈⣧⠃⠀⢀⠠⠀⠂⡂⠐⡽⣇⠀⠔⠂⠂⠄⠂⠀⢀⡁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⡕⡄⢐⠁⠀⠁⠅⡵⣿⣷⠟⠵⢂⠲⠐⠂⠄⠥⢲⡣⡿⣲⠧⠶⡘⢊⠋⠋⡣⠭⢷⠤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠁⡉⡼⠀⠀⡂⢀⠔⡆⡙⣴⣟⠟⣧⠋⠉⠑⡉⠁⠩⠉⠃⠆⣝⡟⡁⠅⡂⡐⡖⠎⠅⠥⡃⣇⡂⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⢡⢟⡀⠀⡂⡸⡅⣎⠛⠁⡍⠄⠁⠁⠈⠀⠁⠁⠈⠀⠂⡁⠀⠑⢧⡆⠈⠀⢃⠀⠈⠄⢐⣋⣣⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡁⡴⡞⣣⢿⣾⡤⣣⠋⠉⠁⠁⠃⣀⣶⠂⠀⠀⠀⢀⣤⠀⠀⠀⠂⡀⠀⠑⣅⠀⠀⡎⣗⡑⠔⢑⣗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢨⣬⡃⢚⠐⠀⢳⡳⡃⠡⠀⠁⠀⣴⣯⡏⠀⠀⠀⢁⣿⣿⠆⠀⠀⠠⠁⡀⠀⢘⡂⠠⠄⠂⡂⣐⡜⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⢐⡀⠀⢁⠀⣜⠁⠅⠁⠂⠀⢠⣿⡟⠁⠀⠀⠀⣼⡷⡏⠀⠀⠀⠈⠠⠂⠰⠶⡭⢻⡋⠶⠣⢥⠱⡁⠐⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠠⡠⠀⠀⠘⡚⠂⠇⠀⠁⠀⠀⠛⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠅⠂⡧⠳⡏⠀⠡⠀⠃⡀⠈⠀⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⡐⡅⡐⡀⠀⠀⡥⡇⢐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⡆⠀⡀⠁⠄⠀⠀⠅⠑⡀⡂⢡⠀⠀⠀ ⠀⠀⠀⠐⠀⣅⢈⠀⠀⠐⠄⡇⠅⢀⠀⠀⠈⡢⣀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⡃⡫⠁⢁⡀⠀⠀⠀⠐⠀⠀⡃⡄⡰⠀⠀⠀ ⠀⠀⠀⠣⡀⡑⠮⣎⡀⠐⠂⣇⡅⠀⠀⠀⠀⠈⠉⠓⠦⠤⠤⠤⠔⠋⠀⠀⠀⠀⠀⠀⠄⣂⣚⡀⡀⠄⠁⠀⠠⠀⠀⡠⣣⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠈⠀⠋⣏⣕⣷⣧⡄⠀⠀⡀⠐⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⣧⣭⡬⡮⡧⠤⡤⠖⠚⠊⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠂⠄⠠⠀⡇⣼⢅⠑⣆⡠⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢄⡁⡲⠃⢀⡛⡅⠁⠡⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡇⠀⠈⠄⡏⡦⣀⠀⠀⠄⠀⠀⠀⡀⠡⠁⠀⠀⣁⣥⡓⠃⠢⡬⡁⡂⠃⠈⡨⠀⠀⢈⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠰⡂⠀⠀⡁⢗⡛⣻⠷⡦⣄⣀⣀⣀⣄⣤⡶⠫⠐⣇⢢⡅⣰⢀⢢⠡⡡⠌⠔⢂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡄⡀⢀⠀⡉⢒⡄⣤⣦⡟⢻⠀⠀⠀⠀⢀⡂⠂⠅⡀⠀⠉⣍⠞⡂⠛⠕⡉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠢⠑⡢⢆⠐⡪⡀⢀⠀⠠⣁⢚⡣⠙⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠤⠠⠀⠄⠀⠄⡀⠀⠀⢀⠋⠋⠛⠊⠶⣖⡾⠆⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⠬⡀⠀⠀⢀⠀⡀⠄⠄⠂⠒⠐⠂⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⣄⡃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠄⢀⠀⠀⠀⠀⢈⢀⢜⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠁⠃⡾⠄⡀⣀⡀⠠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
𓇙 🪻🌸𓇢𓆸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⡶⠖⡏⠛⠛⠯⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠏⠀⠀⣇⠀⠀⠀⠈⢫⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡤⠤⠄⠤⣇⡜⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⣀⣠⣴⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⡏⠏⠛⠉⠉⠉⠷⢷⣛⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⡿⠋⠁⠀⠀⠀⠩⣯⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣯⡿⣃⣄⠀⠀⠀⠀⠀⠀⠈⡏⠁⠀⠀⠈⠀⠀⠀⠀⠀⣷⠁⠀⠀⠀⠀⣀⡴⠛⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗⠀⠉⠓⣄⡀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⡀⡄⠖⠁⠁⠀⠀⠈⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡆⠀⠀⠀⠉⠉⠒⠂⠀⠈⣷⠤⢄⡀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⣀⠀⠀⠀⠀⠀⠀⢀⣟⠏⠉⠉⠍⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⣠⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣥⣭⣿⣷⣷⡶⣤⣄⣀⣿⠃⠀⠀⠀⠀⠀⠀⡯⡧⣴⣶⡶⣶⡟⡿⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡷⠋⠁⠀⠀⠀⠈⠁⠑⠄⠬⣿⠄⠀⠀⠀⠀⠀⢠⢇⠇⠀⠀⠀⠀⠀⠀⠈⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⢟⣆⡀⠀⠀⠀⣀⢎⡎⠀⠈⠒⠒⠢⠤⡅⣤⣤⣈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⡀⣀⣄⠤⠊⠁⠀⠀⠀⢀⡇⡉⠏⠟⠶⠾⡗⠷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣮⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⡀⠀⠀⠀⠀⠀⠀⠀⣤⡿⣸⠁⠀⠀⠀⠀⠈⠱⡿⣇⡇⣦⣤⣤⣄⣖⡭⡮⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⣀⡾⠋⠀⣷⠀⠀⠀⡀⠀⠀⠀⠉⣆⡇⠉⠉⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠯⠭⠝⠋⡃⡇⠀⢐⣿⠀⠀⠀⡇⠀⠀⠀⠀⣯⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⢸⢽⡀⠀⠀⡅⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠒⠲⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⡇⠀⣝⠈⣏⢆⡀⢣⡂⣀⠀⠀⡏⠀⠀⠀⠀⡖⠉⠁⠒⢄⡀⠀⡇⠀⠀⠈⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡔⣒⣒⣤⣄⡇⡃⠀⣗⠀⠈⠳⡬⣓⣗⣬⡷⠏⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠉⠆⡇⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⣀⡤⠶⠖⠋⡇⡇⢻⣽⡙⠃⠲⣌⡉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⣠⣇⡅⠀⣇⡙⢆⡀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠄⣀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠥⣤⣤⣄⣤⣤⡤⠾⠗⡃⡇⠀⡇⢳⡀⠉⠓⠆⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠲⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡇⠀⠙⢗⣤⣄⣀⣀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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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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⠈⣿⣿⣿⡇⠀⣨⣿⣿⡀⣰⣿⣟⡠⠎⠀⠀⠀⠀⠀⠈⠀⠘⠛⢄⠉⢉⡿⠛⠊⢸⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢟⣻⣿⣾⡿⠛⡿⣿⠟⢫⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⢰⣶⣀⠠⣿⡟⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠤⠞⠁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⠀⠀⠀⠀⠀⠀⠉⠋⢸⣿⡇⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⢿⣷⡄⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⣻⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣇⠀⠀⢤⣄⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀⢻⣦⡀⠀⠀⢀⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠻⣿⣿⠀⠀⠘⢿⡧⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠛⠟⠀⠀⣸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣥⣶⣤⣄⠀⠀⣀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣼⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⣼⣿⠟⠉⠙⢿⣿⡿⠿⣿⣦⡀⠀⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⣻⣿⠿⠿⢿⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣱⣿⡏⠀⠀⢠⣿⡟⠀⠀⠈⣻⣷⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⣴⡿⠋⠀⠀⣰⣿⠟⠻⣿⣦⠀⠀⠀⠀⣠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣠⣤⣶⣿⣿⣁⣤⣴⣾⠿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣿⠃⠀⢀⣼⣿⠃⠀⠀⢹⣿⣃⣠⣴⣾⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣋⣹⠿⠿⠿⠟⠻⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⣷⣿⣿⣥⣤⣤⣶⣿⣿⠛⠋⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠋⠋⠙⣏⣭⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⣀⣀⣀⣠⡖⣂⣀⣀⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⢀⠞⡠⠚⠁⠀⣴⣶⢦⠀⠀⠀⠀⠀⠀⣠⣤⣀⡈⠙⠈⠑⢦⡀⠀⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⡎⣼⠃⠀⠀⠀⠓⠛⢋⠀⠀⠀⠀⠀⠸⣛⣉⣠⠃⠀⠀⠀⠀⢷⡄⠀⠀⠀⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀⠀⠀⠀⠀⣰⠁⢫⠀⠀⠀⠀⠀⠀⠸⠾⠤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⣠⠃⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⢆⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⡤⠤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⣠⠔⠁⠀⠀⠀⠀⠉⠲⢤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⢀⣀⡴⠋⠀⠈⢆⠀⠀⠀⠀⠀⡇⠀⡶⣯⣷⣤⣞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⡠⢤⠈⠉⠓⡲⠶⣒⠒⠒⠒⢸⠈⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⡇⢠⢧⣞⠃⣸⠈⢲⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠁⠞⠀⠀⠀⡇⠀⠈⢳⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠖⠚⠁⠈⠓⡎⢳⡝⠑⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⡖⠉⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣀⡠⢄⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡽⠀⠀⣀⡀⠀⠀⠀ ⠀⠀⢰⣒⡷⠤⢾⠉⢒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⢀⠀⠀⠀⣀⠀⠀⠀⢀⣠⢗⠎⠀⠀⢀⣤⣀⡉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⡧⠒⡽⠁⠀⠀⠀⠀ ⠀⠀⢰⠚⢇⣦⠚⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠸⠉⡇⣠⢠⠋⢳⠀⠀⢈⠎⡏⠀⠀⢀⠎⠀⠀⠑⢦⠀⠑⡄⠀⠀⠀⠀⠀⠀⡃⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠸⣤⠊⢸⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⣉⣸⡘⠀⠈⣁⠔⠃⠀⢇⠀⠀⣏⢸⡙⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⡗⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⠤⡶⠚⠃⠀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠫⠉⠉⠁⠀⠀⠀⠈⠑⢄⡈⠳⣴⠃⠀⠀⢀⠞⠀⣦⠀⠀⠀⠠⠂⡯⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠛⡀⠀⢾⠞⠀⠀⢀⠊⢙⠀⠀⠀⡚⢇⠀⠀⠀⠀⣀⡤⠒⠒⣇⠀⠈⢄⠀⠀⢀⡤⡄⠀⠀⠀⠈⠑⠒⠒⠴⠒⠁⠀⢀⠺⡀⢀⠄⠁⠀⡋⠄⠀⠀⡴⡆⠀⠀ ⠀⠅⠀⠘⡀⢘⠀⠀⡀⠁⠀⠀⢂⠀⢸⠀⠈⠄⠀⣀⡔⠁⠀⠀⠀⠈⢄⠀⢰⣀⠔⠁⠀⠈⠂⠀⠀⠀⠀⠜⠹⡄⠀⠀⠀⠅⠈⠱⡼⠀⠀⠀⡃⠐⡀⡎⠀⠡⠀⠀ ⢐⠀⠀⠀⠀⠩⡀⡂⠀⠀⠀⠀⠀⢂⢰⠀⠀⠈⢢⣻⠀⠀⠀⠀⠀⠀⠈⢧⠀⠃⠀⠀⠀⠀⠀⠡⠀⠀⠌⠀⠀⠡⡀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠁⠀⠰⡆⠀⠀⠂⠀ ⠈⠀⠀⠀⠀⠘⢲⡇⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⣺⠀⠀⠀⠀⠱⣄⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣏⢧⡤⢒⡢⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⣀⠀⠀⠀⠀⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢩⣳⠦⣄⠀⠀⣠⠚⠁⢠⠔⣫⣄⢻⡉⠀⠀⠀⠀⣾⣴⢀⣄⣠⣷⣁⠈⠱⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠙⢿⣆⣾⣧⣾⣇⣠⣤⠈⠉⠀⠈⠢⠃⠀⠀⢀⣾⣼⣿⣿⠗⠉⠀⠀⠉⠢⡈⡄⠀⠀ ⠀⢀⣠⠤⠖⢶⡒⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⡇⠓⠺⣿⣿⡷⠟⣿⡉⠀⠀⠀⠀⠀⢰⢢⡀⣠⢏⠟⢧⢸⠃⠀⢀⠴⢶⢄⠀⢱⠀⠀⠀ ⡔⠟⢹⡀⠀⡏⡇⠀⠐⢆⠈⢳⡄⠀⠀⠀⠀⢻⣶⠾⣿⣁⣀⡀⠙⠃⠀⠀⠀⠀⣶⠚⠒⣿⠿⣥⣤⣴⣿⠀⠀⠇⠀⡁⠉⠀⢸⡇⠀⠀ ⠀⠀⠀⣧⡖⠛⠛⠒⣶⣼⡀⠀⡿⡦⠤⠤⠤⠼⢿⡿⠷⣖⣿⣿⠷⠤⠄⠠⠤⣀⢣⡇⡰⠁⠀⠀⣽⣯⡌⢳⠢⡄⠀⠑⠒⠒⠁⠀⠀⠀ ⢤⣴⣿⣿⣷⣄⣀⣠⣾⣿⣧⡀⠀⢹⠲⡤⢤⣀⣀⠉⠓⠢⠤⠤⢤⣤⡶⣖⣢⣬⣿⡇⡇⠀⢀⠞⣁⣤⣿⣼⣰⠙⠤⣀⠀⠀⠀⢀⡠⠔ ⢸⣿⣿⣿⣏⣹⣿⣿⣿⣿⣿⠉⢿⡿⢶⣷⣶⠧⠤⢈⣙⣖⣒⣤⠤⢉⣓⠻⠶⠟⠿⢟⣼⣄⣎⣼⠋⢩⣿⡿⢇⠀⠀⠀⠀⠉⠉⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⠟⠋⠀⢹⡟⡀⡿⠙⠒⢾⠏⠀⢀⠤⠐⠛⠛⠙⠓⠤⠄⣉⣳⣖⣤⣄⣀⠈⠛⠿⠶⠿⣿⣶⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠷⣿⡉⠉⠀⠀⣀⣴⡏⠘⣿⠁⠀⢀⠏⠀⠸⠿⠿⠷⠶⣶⠀⠀⠀⣀⣠⣀⡉⠻⣗⠤⢍⡐⣦⣤⣀⠀⠉⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠙⣿⣉⣉⡩⠞⢷⡠⠤⢊⠀⠀⠸⣽⡇⠀⠀⠀⠀⠀⢀⠈⠙⠛⠻⢿⣾⠄⠀⠀⠉⠙⠻⣏⡑⠢⢄⡈⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⡀⠀⠀⢠⡇⠀⢸⠀⠀⠀⠀⠀⠀⠸⣖⠒⠚⣿⣷⠀⠀⢿⣿⠆⠀⠀⠀⠀⠀⠀⣹⣿⣷⣾⣿⣷⠮⣳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢢⣀⣀⠴⣿⣇⠀⠈⡆⠀⠀⠀⠀⠀⠀⠈⠉⠉⢉⠕⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⣈⡉⠛⠛⠿⠿⣶⣽⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢖⡿⡇⠉⠉⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⢎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠉⠉⠓⠒⠲⠶⠼⠿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⠁⠀⠇⠀⠀⠀⠈⣳⣄⠀⠀⠀⠀⠀⠀⠈⠢⣀⠀⠀⠀⢀⣀⣀⣀⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⢐⣿⣀⠔⠊⠉⠀⠀⠙⢖⠦⢤⣀⣀⣀⣀⣀⣉⡴⠋⠁⠀⠀⠀⠉⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡟⠁⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⢈⡆⢠⢯⠃⠀⠀⠀⠀⠀⠀⠀⠈⡆⠒⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠋⠿⢄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠞⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⢀⡠⠃⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢄⡀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠒⠒⠈⠁⠀⢀⡀⠤⠐⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢼⢁⠮⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⢂⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⡼⢰⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⣇⣴⡆⡄⠀⠀⠀⠀⠐ ⢀⡘⡏⢸⠀⡇⡏⣾⠖⣤⡀⠀⢀⣤⣼⡇⡇⣾⡞⣧⢠⣶⣦⡀⠀⣠⣄⢰⣣⡾⣽⢷⠆⠀⠀⠀⢀⡀⠀ ⠘⢇⠸⡈⡄⡇⣿⢹⠀⡇⠀⣰⣿⣾⣿⣿⣿⣿⣷⣛⢤⣈⣗⢣⣶⡟⣿⣏⣽⠿⣮⡎⠀⠀⠀⠀⡘⣱⠁ ⠀⠈⢆⢳⣱⣧⡟⣼⠿⡇⢸⣿⣫⢷⣾⡿⠟⣻⡗⣿⡿⠘⣾⣺⣩⠃⢹⣿⣿⢞⣿⠛⠀⠀⠀⡰⡱⣣⢂ ⠀⢖⠈⢣⣱⣿⣿⣿⣷⢇⡸⣿⣧⠼⠛⠃⠸⣿⣷⡝⢿⠄⣿⣿⣿⠆⣼⣯⣿⣿⡿⠀⠀⢀⣔⣽⢝⡥⠊ ⠀⠘⢆⠀⠙⢾⣿⣿⢟⡿⣿⣏⣞⡶⣚⣷⣆⣙⢿⣿⣿⣷⣿⣿⣵⣦⣿⣫⣿⣿⣷⣀⣴⣿⡿⠟⢉⣀⠤ ⠀⠀⠈⠳⣄⠀⠈⣿⣿⠃⠉⢿⣿⣿⡿⠟⢿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢓⣿⣿⣓⣚⣉⡉⠀⠀ ⠀⠺⢄⠀⠈⠳⣴⣻⣻⣳⣔⠼⠿⠷⠞⣵⣿⠛⠹⣿⣿⣿⡽⠛⢛⣿⣿⣝⢡⢿⢿⠿⣶⣄⠀⠀⠉⢲⡄ ⠀⠀⠀⠙⠲⠤⣿⣿⢿⣿⢷⣢⣴⣾⣾⠹⣿⣾⠇⣿⣿⣿⣿⣶⣶⡯⡩⠿⢿⣉⣞⠀⠈⢿⡆⠀⠀⠀⠀ ⠀⠀⠃⠀⠀⢀⣿⡏⢀⣰⠴⠿⠋⣿⠃⠀⠈⠉⢠⢫⣿⠏⠁⠘⠛⢧⠹⡄⠀⠈⢻⣦⠰⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠉⣀⡄⠀⢠⣻⠀⢀⣤⣀⡏⣿⣿⠀⣠⠞⠁⠈⢷⡇⠀⣴⡄⠙⢷⡀⣠⡧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡼⠋⠀⠙⠿⠯⠴⢻⣿⠴⠁⠀⠀⠀⠈⠿⠮⠟⠁⠀⠈⠛⠻⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠤⠤⡀⠀⠀⠀⠀⠄⠤⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠈⠇⠀⡤⠉⠀⠀⠀⠡⠀⠀⠀⠀ ⠀⠀⡤⠄⠤⡄⢻⠀⠀⢸⠋⠁⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀ ⠐⠁⠀⠀⠀⢀⠝⠋⠑⡯⠥⣄⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⢀⠄⠀⠀⠀⠀⠇⠀⠹⠄⠀⢀⠁⠀⠀⠀⠀⠀ ⠈⢆⠀⠀⠏⠀⠀⠀⠀⠀⠀⢉⠟⠛⠭⡁⠀⠀⠀⠀⠀⠀ ⢀⠊⠉⠀⢧⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀ ⠅⠀⠀⠀⠀⠉⠓⠤⠤⠖⠃⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠠⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠀⠈⡀⠀⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠁⠂⠀⠀⠀⢐⠁⠀⠀⠀⠀⠈⠣⡀⠀⠨⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⠀⠀⠀⠀⢀⣀⣠⡤⠤⠤⠤⢄⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡞⣋⡀⠙⢷⣤⠖⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⣛⡎⠀⠹⡄⠀⠛⣲⣦⣄⢀⡤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢁⠌⠘⢀⡤⣨⠣⡀⠙⠼⡄⠙⣧⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠃⠎⡆⠀⠀⡇⠀⠱⡇⠀⠀⣇⣠⣾⠲⡀⠀⡆⠀⠀⠀⠀⠀⠲⣄⢈⡱⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⢀⠀⢆⠱⣌⢰⠇⠀⠀⣹⡴⠒⢉⡴⠛⠓⢷⡀⠁⠀⠀⠀⠀⠀⠀⠬⢏⣀⡀⠀⢹⠀⠀⠀⢀⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⢠⠎⠃⢬⠋⠀⠀⠀⠁⠀⣴⠋⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠈⠙⢸⣦⡤⠤⠾⠀⡀⢙⢦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢡⣸⣀⢰⣅⡀⠀⡀⢠⢀⣼⠁⡀⠀⡀⢈⣹⢠⡇⠀⠀⠀⠀⠢⡀⢰⡇⢀⠀⠔⣾⠅⠶⠔⡀⠀⠁⠀⠁⠓⠲⢶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⢦⣀⠉⠉⠁⠀⢸⠁⠘⣾⡣⣮⠔⠒⠉⢩⣇⠜⠙⡆⠀⠀⠀⠀⢸⣼⢧⠀⠀⢠⠟⠀⢰⠀⡗⠁⠀⠀⠀⠀⢐⢤⢹⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠋⠁⠀⢀⡟⠀⢀⣨⡶⠻⣦⡼⢃⠉⣿⠀⠀⠀⠈⠉⢐⣞⣁⣀⣀⣀⣀⢸⡇⢸⣄⣠⣼⣤⣄⡘⡴⠓⠉⢟⠉⠀⢛⢢⠈⡆⡇ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠘⠓⠒⠋⠁⠀⢀⢤⡀⣯⠂⣾⠀⠀⢀⣴⠖⣻⠉⡟⣯⡽⠟⣻⣬⣿⠏⠉⠁⠀⠀⠉⢉⠹⠞⢉⣇⣤⣤⠎⠺⠀⢀⡇ ⠀⠀⠀⠀⠀⢀⡴⣻⠀⠀⠀⠀⢀⠀⠀⢠⠀⠀⠀⠀⢹⠊⠓⠣⣉⣰⡣⠀⠀⡾⡅⡇⣇⠴⢯⣱⢢⣾⣿⡟⡏⠀⠀⠀⠀⠀⠀⠁⠀⠀⠴⢠⣄⣿⠉⢱⠀⠈⡇ ⠀⠀⠀⠀⣠⠟⣠⠏⠀⠀⣠⠞⠁⣀⡴⠣⡰⡄⢂⠈⠎⠀⣦⠴⠏⡼⠟⣿⠀⢿⣀⣘⣙⠲⠬⠈⢏⣼⣿⡿⢧⠀⣴⡴⠂⠀⠀⡀⡀⠤⠀⠵⡸⣿⡀⠜⢀⣴⠇ ⠀⠀⠀⣾⠧⠞⠁⠀⢀⡀⠥⠒⠉⠉⣇⠀⢱⡃⡰⣠⡞⠒⢅⡆⠉⣳⠀⣙⡶⢟⡽⢋⣙⠳⣆⣨⣟⠝⣋⣴⡟⠋⢹⢀⣀⠀⠀⠁⠍⠀⠐⠠⠁⠈⡏⠉⠉⠀⠀ ⠀⢀⡼⠁⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠸⠳⡍⢉⣡⠎⢱⡏⢀⡵⠴⠋⣰⠏⢐⢾⣘⠋⡤⠴⠚⢻⡏⠙⠉⠈⠙⠓⠶⣤⣉⠑⠬⣀⠀⣗⣪⢚⣤⡾⠁⠀⠀⠀⠀ ⠀⣼⠁⣠⠞⠁⠀⠀⢀⣀⣀⣀⡤⣄⠚⠞⠀⠃⢸⢠⡾⠛⠋⠀⠀⠀⢿⣀⡏⢸⢈⡗⣦⣗⠋⢹⡅⠀⠀⠀⠀⠀⠀⠀⠈⠛⠾⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀ ⢰⢣⠞⠙⢂⣠⡶⠟⠋⠉⠀⠀⠀⠹⠦⠾⠶⠶⠋⠉⠀⠀⠀⠀⠀⠀⠈⠻⣦⣸⡉⢷⠹⣍⠑⠂⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠶⠶⠶⠶⠶⣤⡀⠀⠀ ⠈⠛⠓⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣨⣛⠛⠒⠦⠞⠒⠒⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠙⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣤⣀⣀⣀⡾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠲⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀
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