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⠀⠀⡠⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠅⠘⡄⠻⣦⠆⠖⠢⠤⢠⡊⠀⠀⣴⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⡠⠫⠁⠀⠀⠀⠀⠀⠀⠀⠉⢾⡿⢀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣔⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣞⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⠂⢀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⢯⡷⣖⡶⣖⣤⣀⠀⠀⠀⠀⠀⠀ ⢰⠍⠀⢮⣿⠀⠀⠀⠀⠀⣮⣿⡇⠀⠀⢘⡯⣼⢧⡻⣜⢶⢳⣳⢄⠀⠀⠀⠀ ⠸⡀⠀⠈⠉⠀⡔⡃⠀⠀⠙⠛⠁⠀⠀⣸⣝⡿⢧⡻⣜⣫⢗⣣⢟⣧⠀⠀⠀ ⠀⠑⢔⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⢀⣰⣷⡽⣝⢧⡻⣜⢧⡻⣜⠯⣮⡇⠀⠀ ⠀⠀⢠⠛⠓⠦⠄⠀⠀⠀⠀⠠⠶⣟⡻⢶⡹⡮⡓⠻⢮⣳⡝⣮⢻⣼⢇⠀⠀ ⠀⠀⠈⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣇⠀⠀⠀⠉⠻⣼⠷⣎⣟⡄⠀ ⠀⠀⠀⠙⠅⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⣧⡀⠀⠀⠀⣹⡹⣮⣏⣀⣀ ⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠤⠤⠤⠤⠤⠶⠿⠾⠷⠿⠿⠶⠾⠟⠿⠽⠶⠃⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠃⣧⢸⡇⠀⠀⣼⡆⠀⠀⣿⠀⢰⠛⣧⠀⣾⡀⢸⣉⠃⠀⠀⠀⠀ ⠀⠀⢀⡇⠀⡿⣿⡇⠀⢰⠟⢷⠀⠀⣿⣀⠸⣥⡟⢸⠛⣧⢸⠉⠀⠀⠀⠀⠀

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🐱 🐈 🦁 🐯
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣶⣶⣦⣄⡀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣴⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠙⠛⠿⢿⣶⣦⣀⠀⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣏⠀⣠⣴⣾⡿⠟⠛⠋⠉⠁⠀⠀⠀⠀ ⠀⢀⣠⣤⣤⣤⣤⣤⣤⣀⣈⠙⠻⣷⣿⣿⣿⣿⣿⡟⠀⠀⠀⢀⠀⠀⠀⠘⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⠟⠋⣁⣀⣤⣤⣤⣤⣤⣤⣀⡀⠀ ⠈⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⢿⣶⣄⣿⣿⣿⣿⣿⡇⠀⠀⠀⣾⡆⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⢸⣧⠀⠀⠀⣸⣿⣿⣿⣿⣿⣤⣶⡿⠟⠛⠋⠉⠉⠉⠉⠉⠉⠉⠁ ⠀⠀⠀⣠⣤⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢿⠃⠀⢀⣼⣿⣿⣿⣿⣧⡀⠀⠸⡏⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣄⠀⠀⠀ ⠀⠀⠊⠉⠁⠀⣠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣶⣿⣿⣿⠿⠿⣿⣿⣿⣶⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠈⠉⠑⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠻⢿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⠿⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠈⠻⣮⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠋⠀⠀⠀⠀⠙⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⣤⣀⡀⠀⠀⣀⣴⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀ ⢀⣤⣾⡿⠟⠛⠛⢿⣿⣶⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣀⣀⣤⣶⣿⡿⠿⢿⣿⡀⠀ ⣿⣿⠏⠀⢰⡆⠀⠀⠉⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡿⠟⠋⠁⠀⠀⢸⣿⠇⠀ ⣿⡟⠀⣀⠈⣀⡀⠒⠃⠀⠙⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀ ⣿⡇⠀⠛⢠⡋⢙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⣿⣧⠀⠀⠀⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⢸⣧⣤⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀ ⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠻⣷⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀ ⠈⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⣶⣤⣤⣀⡀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣻⣷⣶⣾⣿⣿⡿⢯⣛⣛⡋⠁⠀⠀⠉⠙⠛⠛⠿⣿⣿⡷⣶⣿
⢿⢻⡛⡏⢏⡟⢻⡹⣛⠟⠛⡉⠛⡙⠛⢿⣏⠻⣟⢫⣟⣿⣿⡿⣝⢯⢯⣽⡻⢼ ⢇⢧⠳⡙⠦⣘⠡⡑⢄⠊⠡⢀⠁⠄⡈⠄⢋⠗⡬⢳⣮⡽⣒⡟⣾⡹⣎⣣⠵⣸ ⢌⢢⡑⠥⢃⡄⢣⠐⠠⠈⠄⠠⢀⠂⠠⠈⡄⢊⠑⡈⢿⠓⡰⣿⣖⡹⢳⢧⣛⢸ ⢨⠐⡌⠘⣤⠘⢠⡌⢠⠁⡌⠐⠀⡄⠁⡎⠐⡌⠐⢠⠈⣤⠁⢻⣿⡖⠉⡎⣽⢸ ⢀⠣⢌⣱⣤⣳⣦⣶⣌⣒⠤⣃⠔⡠⢃⠄⢣⠐⡡⠂⢌⠠⡘⢦⣿⣏⠱⠲⣍⢺ ⣌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢆⠑⡈⢐⠂⠱⢠⠑⣈⠶⣙⢶⣳⣮⣯⣷⣼⣸ ⢻⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣇⠀⠂⠐⠠⠈⡐⢀⠣⢜⡸⡹⣾⣿⣿⣿⣿⣿⢿ ⠉⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡈⠐⠀⠀⡀⠀⠄⠂⠂⠡⡑⣿⣿⣿⣿⣿⣿⣿ ⣍⠦⣌⢛⡛⠿⠻⠟⠛⠋⠁⠄⠐⠀⠐⣀⠐⣨⣴⣞⣦⣧⡔⡘⢿⣿⣿⣿⣿⣽ ⢌⠲⢤⠃⢈⣤⡞⠻⣧⠀⠠⠀⠀⠂⢀⠸⠿⢿⣿⢾⣾⣿⣿⠗⠠⢉⠙⠋⣻⢻ ⣌⠓⡎⡔⣻⡶⢫⣵⡟⠀⠀⢀⠡⠀⠆⠠⠐⣀⠚⡿⡟⢋⠠⢈⠐⡄⡈⡔⡹⢻ ⠀⡜⢣⡸⠟⠀⠀⠟⠃⠘⠠⠀⡄⢣⠘⡤⢛⡄⣻⣸⡧⢄⠣⠄⡤⢀⠣⣘⠣⢼ ⡐⠌⠡⠐⡀⠌⠐⠠⢈⢂⠡⢣⠜⣧⣷⣔⣣⣞⣵⣿⣿⣮⣣⠝⣤⢋⡔⢢⡱⢸ ⠰⣈⠑⢂⠠⠐⡈⡐⠌⢢⠙⣆⢫⠴⣩⢛⡝⣫⢛⠦⣭⢙⠿⣿⠶⣍⡞⣥⢓⢸ ⠱⠄⠎⢆⠳⡐⢄⠢⢉⠦⣙⠬⡒⡍⢦⡉⢖⡡⣋⡞⣤⢋⡞⣵⣻⣞⡼⢦⣏⣸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠉⠀⠀⠀⠈⠙⠻⠿⣿⣿⠿⠋⠁⣰⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⣾⣿⣿⣶⣦⣄⣀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⠟⠀⠀⠈⠛⣿⣿⣿ ⣿⣿⣿⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠶⠘⣿⣿ ⣿⣿⣿⣷⡀⠀⠉⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠉⢿⣄⠀⠀⠀⢻⣷⣶⣶⣶⣶⣶⠚⠛⢷⡄⠀⠀⠀⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⡏⠀⠀⣹⣧⡀⠀⠀⣿⣿⣿⣿⣿⠏⠀⢀⣾⣿⣦⡀⠀⠈⣿⣿⣿⣿⣿ ⣿⣿⡟⠀⢀⣾⣿⣿⣿⣄⠀⢸⣿⣿⣿⠏⠀⣠⣿⣿⣿⣿⣷⣄⠀⠸⣿⣿⣿⣿ ⣿⡟⣀⣴⣿⣿⣿⣿⣿⣿⣧⡀⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣦⡀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⠿⢻⠛⠿⢯⠻⠿⠿⠛⠛⠟⠻⣿⡛⢿⣿⢛⡻⣿⡿⣯⡝⣯⣝⡻⢿⠿⢟⡛ ⣊⡜⡡⢎⠡⠌⢃⠁⠂⠁⠀⠐⠀⠈⠻⡔⢢⢯⣽⡩⣿⢣⡟⡴⢋⡝⢦⡚⣬⡜ ⢀⡀⠃⡄⢀⠃⠄⠘⠀⠀⠀⠀⠀⡀⠠⠘⠄⢻⣿⠀⡏⠟⡸⣟⢧⡘⣇⠻⣄⠻ ⠠⡈⠡⠘⠠⢈⠀⠂⠐⠀⠀⠀⠄⠠⢁⠈⠀⡀⠄⢈⠁⢈⠁⡈⢧⣛⢬⡳⣬⢳ ⠀⠌⣤⣥⣷⣦⣮⣴⣌⠰⡁⠆⡈⠔⠠⠌⡀⠄⠈⡄⠒⠀⠃⣀⠠⢍⠲⢻⡵⣯ ⣼⣿⢿⣿⠛⣿⣿⣿⣿⣧⠘⠀⠠⠐⠀⢂⠐⡈⠴⣁⢅⣶⣾⣷⣿⣮⣧⢣⡝⣿ ⢻⣿⣶⣿⣶⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠘⠰⢩⣿⣿⢻⣏⣹⣿⣿⣷⠮⡽ ⡘⢿⣿⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠐⠀⡈⢻⣿⣾⣿⣿⣿⣿⣿⢶⡱ ⠀⣀⠈⠍⠙⠋⢛⠉⠀⠀⠀⠀⠀⣀⣴⣤⣿⠿⡷⣶⡄⠛⢿⣿⣿⣿⣿⡟⠣⠉ ⡻⣿⣿⡦⣴⣿⣿⣷⠀⠀⠀⠀⠀⠈⠙⠛⣿⣻⣿⠿⠛⠁⡀⠀⠀⣉⣈⠀⣴⣶ ⠉⡛⠻⢿⡟⠁⢿⡟⠀⠀⠀⠠⠐⡀⢄⡂⣌⣿⡅⠠⡀⠄⠀⠀⢰⣿⣷⣶⣿⠋ ⡄⠉⠂⡍⠐⠁⠈⠀⡄⢠⠑⣦⣐⠈⠤⠘⣦⣿⣎⠑⠄⢃⠀⢁⡄⢁⡙⠋⢀⠀ ⢀⠁⢂⠀⠀⠠⠐⠠⠐⣠⠁⠙⠛⠿⠾⢿⡛⣏⠻⣷⣦⣦⡥⢤⢘⡰⢢⠜⣡⠚ ⠀⠎⡀⠆⠌⠠⢀⠡⡘⢄⠣⡙⢄⡠⢋⠤⡒⡬⡁⢄⣂⢩⣉⡡⢌⡴⢣⢞⡡⢏
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣀⣤⡤⠦⠤⢤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⠞⢋⠻⠍⠲⣀⣤⣸⣿⣿⣦⣔⣁⠊⠤⠄⠠⢙⡉⢍⡙⠓⠶⣤⡀⠀⠀⠀⠅⠙⠄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢞⡋⠡⠈⢆⠡⣢⣽⣾⣿⠿⠳⠛⡙⠳⠾⢭⣿⡷⢾⣥⣂⠌⢄⠢⢉⠢⠩⠟⢟⠳⢤⡀⠀⠑⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⢏⠱⠠⢌⠡⢃⣼⣿⡽⠟⡉⢄⠢⣁⠣⡘⡐⢢⠂⡄⣉⠛⠞⣯⢻⣶⡬⣞⣻⡇⡘⠄⡊⠤⡙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⡙⢎⡳⣓⢎⢶⡟⣿⢉⡐⠤⣁⢂⠱⣀⠱⢠⠑⢢⠔⠨⢄⣸⣴⢶⣣⠾⠷⣯⣶⢦⣅⠊⡔⠡⠐⡨⠘⡳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡿⢃⠤⡘⠄⡃⣼⣘⣿⢿⣼⣟⣧⣤⣀⠘⠤⢀⠇⡃⠜⡠⢘⣧⣿⣿⡿⠟⠃⠤⢠⢀⠻⢿⣟⣿⣄⡃⠇⡠⢃⠤⢸⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⢓⡘⢢⠑⣬⣾⣷⠟⡁⢂⠤⢉⠛⠿⣽⣿⡷⣦⣜⣀⣣⣼⣿⡷⢛⢡⠐⡌⢌⡑⠢⢌⠂⢆⢉⠻⢾⣽⢶⣅⢂⠢⡁⠥⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⡀⢏⠘⣠⣾⣿⠟⣁⠢⠜⡠⢊⠤⢃⠒⡠⠌⡙⢳⣋⢿⣭⢿⣁⠢⢉⠢⣁⠘⡄⢢⠑⡌⡘⠤⢊⠐⡢⢘⠻⣾⣳⣦⠱⣌⠊⡿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡷⣎⣆⣡⣿⣵⠋⡰⢀⢇⣐⠰⡁⢆⠡⢎⠰⢡⣼⣿⡾⠏⡙⠻⢯⣿⣦⣕⠠⢃⠜⡠⢃⠔⡡⠚⠤⡘⢄⣃⣶⣎⣷⢯⣷⣌⠢⠡⢽⡽⣟⣻⠷⠦⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⣼⢓⠣⠹⣮⣹⣜⣻⣦⣅⣂⠆⢨⠐⡌⢢⠑⢂⣦⣿⣿⠋⠔⡠⠑⡌⢂⡉⢛⢿⣟⣶⣌⡰⠁⢎⠰⢁⣆⣵⣿⡿⢛⠩⠄⡂⠜⢳⣿⠐⡘⣿⣽⣣⣟⢿⣯⣽⢶⡀⠀⠀ ⠀⠀⢸⣏⠴⠈⢥⣿⣻⠡⢉⡙⠿⢿⣿⡶⣬⡠⢁⢎⡾⣿⠟⠠⡘⠤⣁⠣⡘⠤⡘⢄⠢⢉⠻⢾⣽⢮⣔⣨⣾⣿⠟⡉⢄⠃⡆⠑⣈⠆⡡⠌⠱⢠⢹⣷⣣⢟⡾⣜⡯⣿⡟⣇⠀ ⠀⠀⢹⡗⡎⡘⣼⣷⠏⡰⢁⠒⡌⠤⢉⠛⠷⣯⣻⢾⣿⡃⡘⢄⢁⠒⠤⡑⢌⠰⡐⠌⢆⠡⠒⠤⢉⣿⣾⣻⣏⡁⢆⡘⢄⠊⡔⢃⠌⣰⣐⣬⣵⣦⣴⣿⣜⣯⢞⡵⣛⠶⣽⣿⢀ ⠀⠀⣹⣏⠣⡐⢌⡉⣆⠡⠌⢒⠈⠆⡅⢊⠔⣼⣿⡞⣭⣿⣶⣬⡂⢩⠐⢌⢂⠱⢨⣐⠈⢆⠩⣴⣿⡿⠛⡙⢾⣟⣦⡌⠢⢑⣐⣮⣾⣟⣯⢟⡾⣭⢷⣛⡾⣽⣻⢾⣭⡞⣵⣿⣌ ⠀⣤⣜⣏⡣⠌⡐⠄⢿⠀⣘⠂⡍⠒⢌⢂⣾⣿⠟⢠⠐⣈⠛⢾⣽⣷⣌⡢⠌⢂⠥⢈⠜⣠⣿⣿⠟⠁⡅⡒⠤⡘⡙⢡⢱⣾⣟⣻⡼⣞⣮⠿⣽⣭⠷⣯⢻⣵⢫⣟⢾⣹⢷⣛⡷ ⣿⣿⢿⣟⡿⣿⢷⣾⣤⠃⡄⠣⢌⠱⢈⠺⣿⠋⠔⡨⠑⣄⢊⠔⡈⠛⢾⣟⡾⣄⠢⣡⣾⣿⠟⠡⣈⠱⢠⠑⢢⠁⡜⣴⣿⡳⣞⢧⣟⢾⣱⢿⣳⡞⣿⡹⣯⢞⡟⣾⣫⢷⣛⡾⣛ ⣟⠾⣝⣮⢷⣛⣮⣗⣻⢿⡄⠱⡈⢆⠡⢒⠠⢊⠔⡡⠑⡄⡊⠤⢡⠉⢆⡘⠛⣯⡿⣯⣿⠃⠌⡒⠤⢑⠂⡍⢄⠣⣴⡿⢧⣟⣭⡟⣞⣯⡽⣞⣯⣽⣳⡽⣳⢯⣻⣵⢻⣞⣭⣷⣟ ⣯⠿⣝⡾⣭⢷⣳⠾⣭⣻⣿⠠⢁⠎⡰⢁⠎⡐⢊⣤⠁⢆⠱⡈⢆⡉⢆⠰⢡⣾⣷⠟⣾⣳⣎⠤⡑⠌⠒⡈⠆⡰⣿⡽⣻⡼⣞⣽⣳⢮⢷⣫⠾⣵⣳⣻⢭⡿⣵⣞⠿⣼⣿⣿⣿ ⡷⣻⡝⣾⢽⣣⢿⣹⡳⢧⣿⡃⠌⢢⠑⢌⠢⡑⢢⠠⡉⢆⠢⡑⢢⠘⡄⢺⣿⡿⢃⠰⣈⠹⠿⠗⣈⠻⠦⠞⢠⢱⣟⣳⣏⡷⣏⡶⣏⣟⡾⣟⣟⡧⣟⣞⣻⣼⢳⡞⣟⣧⢿⣹⢞ ⣷⢧⡻⡜⢧⣛⢮⡳⣝⣯⠟⣠⠉⠂⡍⢄⠣⡐⢡⠂⡅⢊⠔⡠⢃⠒⣐⠂⡔⠐⢢⠑⡡⢒⣈⡒⡄⢢⠁⢎⠠⢌⣿⣳⢞⣳⡽⣳⣛⣾⣿⣿⣾⡽⣞⣭⢷⣫⢯⣽⢫⣞⢧⡟⣞ ⠙⠻⢧⣽⣳⣎⣷⣱⣿⢯⣔⠠⢣⠑⡌⢢⠡⡘⠤⢡⠘⡄⢊⠔⡡⢂⡄⠣⡐⣉⣤⣾⢿⡟⣿⢻⢿⡷⣮⣄⠡⢂⠽⣯⣏⢷⡻⣵⡻⣿⣿⣿⣿⡽⣞⡽⣾⡹⣧⢻⡝⣮⢳⡹⢎ ⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠙⠷⣦⣕⡠⠃⢆⠑⡌⢢⠡⡘⢄⠊⡔⢂⠌⣐⣵⡿⢯⢯⣳⢯⠷⣯⣳⢟⣽⢻⣷⡌⡐⢻⣮⡳⣝⢧⡻⣝⡞⡿⣎⠷⣝⢾⣱⢻⡜⣧⠻⣜⡣⣝⢮ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢳⣦⣵⠈⣤⠑⠈⡄⢣⠘⡄⢪⣾⣯⣽⣯⠛⣧⡟⣿⢱⣯⡟⡞⣯⡞⣷⡌⢲⣿⣷⣭⡞⢱⢫⡜⢳⣭⢻⡜⣧⠋⡞⣼⠒⢻⣴⢹⡌⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⢢⠖⡎⡤⡬⡍⠛⠳⠷⠷⣬⣔⣂⢥⣾⣟⡾⡵⣞⠿⣭⢷⣫⣟⠾⣝⣳⢟⡼⢿⢿⠻⠉⠷⣮⡹⣍⡞⣹⢎⡜⣣⢓⣎⢯⡱⢣⣛⢦⣓⣯⠞⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠉⢼⡡⡿⢁⠐⠆⠀⠀⠀⠀⠀⠈⠉⠙⣿⢣⡟⣵⢫⡟⣽⢺⡵⣞⡻⣭⢳⣏⣞⣏⡿⠐⠀⠀⠈⠙⠷⢾⣕⣮⣙⣶⣫⣜⣶⣹⡧⠷⠛⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⢰⠒⠙⡃⢩⠙⢭⡂⠀⠀⠀⠀⠀⠀⠀⠘⢿⡜⣖⢫⡜⢧⠻⣜⢮⢳⡭⢳⣎⣽⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠕⡐⠈⣃⡴⡯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣬⣝⣮⠝⣎⢮⣳⣜⣯⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠖⠃⠠⡔⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠙⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⣡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣄⣀⠀⠀⠀⠀⠀⡞⢏⡤⣤⠤⣀⣠⣤⡀⠀⠀ ⠀⠀⠀⢸⢀⣻⠙⠯⣶⠤⠒⠚⢧⣮⣾⣛⣟⠋⠹⣅⡇⠀⠀ ⠀⠀⠀⠈⢈⡣⠀⠀⢈⡗⠀⠀⠀⠙⠛⠢⣄⠉⠳⡏⠇⠀⠀ ⠀⠀⠀⢸⠈⢳⣄⠔⠋⠀⠀⠸⠀⠀⠘⡆⠈⠱⣄⡹⡏⠀⠀ ⠀⠀⠀⡼⠗⢻⡏⢠⠆⠀⢀⡆⠀⠀⠀⢸⡀⠀⠘⡏⢿⠀⠀ ⠀⠀⡸⠁⠀⣿⠷⢻⣀⣠⡯⢤⡀⢠⡇⣸⣳⣀⡗⠇⢏⡆⠀ ⠀⢰⠃⠀⢸⠇⢀⡏⢁⠃⢡⠀⠙⣿⢿⠉⡇⠀⢹⡄⢸⢸⡀ ⠀⠧⢾⠀⠸⡄⠀⣳⣄⣇⡞⢀⡴⠛⢾⣴⣂⡠⡾⠀⢰⡶⡇ ⠀⠀⠸⣠⣞⢧⢀⡷⣄⠈⠉⠣⠤⠞⠦⠟⢀⡼⣷⡀⢸⠁⠀ ⠀⠀⠀⠀⠘⠛⠿⠧⡼⣯⡳⣦⡤⣴⣖⣺⡿⢶⠃⠈⠋⠀⠀ ⢠⠞⠑⡆⠀⠀⠀⢀⠼⠉⢃⠀⠀⠀⠘⡟⡄⠀⠀⠀⠀⠀⠀ ⠸⠀⢰⠁⠀⠀⢠⠋⠀⠀⡞⠀⠀⠀⠀⢹⠙⣄⠀⠀⠀⠀⠀ ⢸⡀⠸⣄⢀⡤⠿⢦⡀⡼⠁⠀⠀⠀⠀⠸⣤⠟⠒⠢⡄⠀⠀ ⠀⠙⢆⣀⡟⠀⠀⠈⢻⡽⠄⣀⣀⣀⡠⠤⢣⠀⠀⠀⡷⠀⠀ ⠀⠀⠀⠀⢣⣀⣀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠈⡗⠐⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⡶⠒⢱⠖⢺⡋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣃⢰⡁⢠⢾⣀⣸⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠒⠤⢽⠁⢸⠳⠤⢤⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠎⠀⠺⣤⡀⠀⠉⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢆⣀⣠⠞⠀⠀⠀⠈⠓⠊⠁⠀⠀⠀⠀⠀
gun ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠈⠻⣮⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠋⠀⠀⠀⠀⠙⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⣤⣀⡀⠀⠀⣀⣴⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀ ⢀⣤⣾⡿⠟⠛⠛⢿⣿⣶⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣀⣀⣤⣶⣿⡿⠿⢿⣿⡀⠀ ⣿⣿⠏⠀⢰⡆⠀⠀⠉⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡿⠟⠋⠁⠀⠀⢸⣿⠇⠀ ⣿⡟⠀⣀⠈⣀⡀⠒⠃⠀⠙⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀ ⣿⡇⠀⠛⢠⡋⢙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⣿⣧⠀⠀⠀⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⢸⣧⣤⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀ ⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠻⣷⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀ ⠈⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⣶⣤⣤⣀⡀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣻⣷⣶⣾⣿⣿⡿⢯⣛⣛⡋⠁⠀⠀⠉⠙⠛⠛⠿⣿⣿⡷⣶⣿
——ᐟᐟ☆₍˄·͈༝·͈˄*₎◞ ̑̑ᐟᐟ☆——
/\ ⑅ /\ ꒰=•ω•=꒱ ଘ꒰づ ꒱づ
⠀⠀⣰⠋⠙⠓⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢴⢶⡀⠀⠀⠀ ⠀⢠⣇⠀⠀⠄⠀⠄⡙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣋⡧⡝⡦⠏⣇⠀⠀⠀ ⠀⣸⠠⠀⡈⠀⠀⠀⠈⠨⣆⣠⠤⠤⠶⠶⠶⡤⠤⣯⣜⣮⡳⠋⠀⠀⢸⠀⠀⠀ ⠀⣿⠠⠀⠇⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠸⣕⢎⡼⡙⢦⣄⠀⠀⢸⡀⠀⠀ ⠀⣿⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣟⡎⢶⡹⢆⠎⣧⡀⢸⠂⠀⠀ ⠀⣿⠈⡆⡇⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣿⡸⢇⣹⢉⣷⠸⣹⣸⠀⠀⠀ ⠀⢹⡌⣠⠠⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠⠘⢵⣋⣖⢫⣜⣳⡡⢻⠀⠀⠀ ⠀⠈⢷⣀⣂⡈⠀⠈⠀⠀⢀⣀⠀⠀⠀⠀⡠⠂⠀⠈⠺⣌⡳⣚⣖⣧⠫⣇⠀⠀ ⠀⠀⡰⠫⢁⠀⠀⠀⡀⡞⠉⠀⠭⣂⠄⠊⠀⠀⠀⠀⠀⠈⢑⠋⢈⢻⡆⢿⡀⠀ ⢀⡞⠁⠀⠀⠈⠁⠀⢸⠁⠠⢘⣶⢸⠀⠀⠀⠀⠀⠀⠀⠀⡄⢐⡏⠈⡇⠀⠱⡄ ⠹⣄⠀⠀⠀⠀⠀⠀⢋⢆⠘⠌⠑⠘⠀⠀⠀⠀⣂⡩⢁⡢⠰⠊⠕⢰⠇⠀⢠⠟ ⠀⠈⠳⣄⡀⠀⠀⠀⠀⠑⠁⠒⠀⠀⠀⠀⠀⢀⠈⣹⡉⠀⠀⠑⠒⠋⠀⡰⠋⠀ ⠀⠀⠀⠀⠉⠒⠦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⢀⣀⠴⠊⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢩⠟⠛⠒⡒⠶⢒⡖⠒⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠴⠊⠉⣀⡠⡆⠔⠁⠀⠀⠀⠙⣯⢖⠦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⢐⡔⡝⠀⠀⠀⠀⠀⠀⠀⠀⢹⡝⠚⠊⣢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣆⢁⣾⣀⡷⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⡰⠎⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡝⡁⣊⣧⡠⢄⡀⠀⠀⠀⠀⠀⣸⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡭⢯⠉⢠⡜⢁⢮⢩⢀⠘⣆⣀⣀⡤⠞⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⠿⠤⠊⠀⡸⠂⢃⠌⠀⡇⠀⡇⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠀⠀⢠⠃⠀⢇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢄⣀⣠⠜⠀⠀⠘⢄⣀⣀⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀
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⸝⸝U ̫ U⸝⸝ฅ ☆
    +    *     ∧∧  . ∧∞∧ * * ヽ(=´ω`)人(´ω`*)ノ  .~( O x.) (   O)~ + 。*   ∪    ∪
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⠀⠀⠀⠀⠀⠀⠀⢀⠤⠐⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⡃⠀⠀⠀⠀⠀⣀⠔⠊⠉⢱⠀⠀⠀⠀ ⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⡇⠀⠀⠀ ⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠉⣆⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡭⣿⡇⠀⠀⠀⣿⣾⡆⠀⠀⢹⡄⠀⠀ ⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠉⠉⣀⣀⠀⠀⠑⠚⠀⠀⠀⡇⡇⠀⠀ ⠠⠔⠒⠻⣌⠥⠀⠀⠀⠀⢣⠀⣸⢯⡀⣴⠀⠀⠀⠀⣨⡋⠁⠑⠒ ⠀⠀⠒⠉⠀⠓⢦⡀⠀⠀⠀⠁⠀⠀⠉⠉⠀⣀⠔⠉⠀⠈⠈⠒⠀
🐈‍⬛🌲 𓁹‿𓁹( ⓛ ﻌ ⓛ *)(=🝦 ﻌ 🝦=)mᵉᵒʷ♱✦(ⓛ ﻌ ⓛ( ⓛ ω ⓛ *)★
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⠀⠀⠀⠀⠀⢠⡴⢯⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⡊⠑⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠋⠷⣜⠆⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⡸⣷⡀⠘⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠤⣀⠀⠀⠀⠀⠀⢀⠴⠊⠀⠀⠰⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣇⣀⠴⣛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠲⠖⠚⠅⠀⣠⠔⠈⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡹⢀⣨⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣀⣐⣒⢦⡀⠉⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣷⡽⡄⠀⠂⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡰⠛⠛⢏⡀⠀⣤⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢄⠈⠛⠿⣿⣿⣿⣽⣷⠇⠀⢇⠀⡄⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡏⠁⠀⠀⠈⡿⣿⣿⠆⢀⣠⣀⣄⢰⣿⣿⣦⣄⢀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⠀⠀⠀⠀⠁⠸⠿⢠⣿⣿⣿⡿⠸⢿⠿⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⠇⠀⠀⠀⠀⠀⠐⢸⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠈⢻⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠄⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠣⣄⠀⠀⣠⣴⣶⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⡀⠛⠋⠙⠻⠿⢿⣿⣿⣿⣿⣧⣤⣀⠀⠀⠀⢀⠀⠀⠀⠀⠐⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠉⠿⠀⠀⠀⠀⠀⠀⠀⠂⠀⡘⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠉⠑⠒⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡈⠉⠒⠒⠤⠤⣀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢠⢀⣀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠂⠁⠀⠘⠓⠂⠀⠐⠐⠚⠀⠛⠛⢿⠛⠑⠛⠀⠚⢀⡐⠂⠀⢔⠀⠀⠂⠐⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡄⠀⠃⠈⠀⠄⠀⠀⠢⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠁⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⣝⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⢱⣽⣆⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡟⣇⡏⠀⠹⡄⠘⣧⡀⠀⣴⣶⣠⡀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⢳⠻⡆⠀⠀⢹⡄⢹⠻⣿⣿⣿⣿⣷⣦⣄⣀⣠⣤⣶⣿⣿⣷⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⢸⣹⠛⠆⠀⠀⢷⣸⠀⢈⣀⣈⣿⣿⣷⡌⠻⣷⣿⣿⣿⠋⠀⡼⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⠸⡌⠧⣤⡀⣠⠟⢿⠀⠘⠛⣯⣽⣍⢿⣿⠀⣿⣿⣿⣇⢀⣴⢳⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣇⣳⣻⣥⠞⠁⠀⢈⣧⣶⣶⣿⣿⣿⡟⠛⠀⢿⣯⣼⣿⣀⣾⡟⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡶⠿⠟⢱⡚⢛⣦⣶⣿⣿⣯⣿⠈⢻⡯⡿⠀⢀⣾⣿⣿⣿⣿⣿⡦⢤⣤⣤⠴⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣏⡴⠂⣠⠶⣿⣿⠿⠈⢿⡿⢋⡞⠀⣸⡀⡇⠀⡞⣾⣟⡏⣏⢯⡀⠀⠀⠀⠀⣈⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡋⢀⡞⣱⣻⣿⠀⠀⢰⠊⠉⢻⠤⢴⡏⠉⢷⠀⢿⣿⣿⢣⢿⣌⠻⣆⠀⢀⠎⢁⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⣽⠁⠈⢻⠁⠋⣇⠀⢠⠇⠀⠀⢸⡇⣤⣀⠀⢿⣤⣄⣹⣟⣩⠤⡇⠳⣼⠀⡼⠐⠛⠚⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀ ⠀⢻⡀⠀⡏⣠⠖⠺⣶⠋⠀⠀⠀⠀⠳⣿⡿⠀⠈⢻⣿⠿⡋⠀⢠⡇⠀⣿⠞⠁⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡿⣓⠲⣌⢻⣤⣤⣸⣿⠀⠀⠀⠀⠀⠀ ⠀⠈⢳⣶⣿⠁⠀⠀⡌⠳⣤⡀⠀⠀⠀⠈⠛⡏⠓⢻⠴⠚⢁⣤⣿⡀⠀⣾⠀⠀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠻⣷⡼⠂⣸⣾⠵⣾⡿⠟⢶⡄⠀⠀⠀⠀ ⠀⠀⢸⡁⠹⠦⢦⣀⢻⣄⠹⣟⣿⣶⣤⣄⠀⠙⠒⣪⡴⢚⠋⠀⣿⣧⡼⠃⠀⠀⠀⠀⠈⠓⢛⣲⣄⠀⠀⢀⣀⡼⠦⣤⣠⠤⣤⠀⠀⠀⠉⢷⠀⠀⠀⠀⡿⣄⠀⠀⠀ ⠀⢀⡼⠓⣀⡤⠔⠻⠭⣍⠙⣫⠾⠋⠉⠉⠙⣿⠋⣁⣴⣾⡴⠟⣁⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⡾⠁⠀⠀⣿⣀⠙⠶⢋⡥⠖⢯⣄⠀⣀⠀⠘⣦⣤⣤⡞⠁⢸⠀⠀⠀ ⢀⡟⠀⡴⠁⠀⠀⠀⠀⠘⣶⠋⠀⢀⡀⠀⠸⣷⠞⣩⠝⠛⠉⠉⠉⠉⠉⠑⠢⢤⣠⠴⠋⠀⢸⡇⠀⣀⣼⢃⡼⣣⣤⡻⣄⣀⡤⠟⠋⣹⡇⠀⡼⠀⠀⡇⠀⠸⣦⡀⠀ ⠸⡇⠀⢧⠀⢻⡝⣆⠀⠀⡇⠀⢰⠋⠉⢷⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣸⡅⠙⢋⡞⠁⢀⡷⠈⣡⠖⠛⠙⣯⠐⡞⠁⢀⡼⠃⠀⠀⠈⢷⠀ ⠀⢻⣄⠀⠉⠉⢀⡟⠀⠀⢷⡀⠈⠂⠀⡼⢠⠏⢀⣀⣤⡤⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⢼⢿⡷⠛⢮⠓⢞⡽⠚⢳⢹⣄⣠⠴⠛⢹⡇⠀⢸⠇⠀⢰⠀⠀⢸⡇ ⠀⠀⠈⠛⠒⣾⣋⡄⠀⠀⠀⠙⠓⠒⠛⠁⣾⡞⠋⢻⣭⣇⡞⠓⢮⠙⢲⠦⢤⣤⢤⣴⠞⣹⣿⣶⢮⢳⢖⡫⠶⣼⡇⣀⡼⠀⣩⡴⠛⠛⣿⠁⣀⣞⡀⠀⡎⠀⣠⡞⠀ ⠀⠀⠀⠀⣠⡬⠿⠿⢤⣄⠀⢀⡀⠀⠀⠀⡟⣇⠀⣠⢥⢸⠀⣤⠞⢀⠯⣄⣠⢟⣀⠙⡿⣯⣾⣵⣫⢤⣾⣀⣠⠟⢹⡽⠚⠹⣼⡄⠀⠰⡗⠞⠉⠉⠙⠺⠧⣤⠟⠀⠀ ⠀⠀⣠⢾⡏⠀⠀⢀⠀⠉⠛⠛⠳⢤⣀⠀⣷⠘⢦⢿⣸⢟⣚⠁⢠⠏⣀⡀⠀⠛⠋⢀⡽⢿⣦⢿⣀⣤⣇⢩⠖⠋⡇⣧⠀⢀⡏⠧⠖⠚⢹⠦⢤⡀⠀⠀⠀⢸⡆⠀⠀ ⠀⣰⠃⠘⣧⢖⡿⣏⣠⠆⠀⠀⠀⢀⡇⠀⢹⡗⢮⢳⡀⠘⠛⣰⠟⠋⢯⣩⢙⣒⣚⣿⣿⣄⣿⢧⣰⡋⣹⠜⣦⠤⠇⢘⣺⣭⡀⡴⠒⣺⠋⠀⠀⣹⡄⠀⠀⡾⠁⠀⠀ ⠀⡟⢦⡞⡽⣿⡿⠛⠳⢦⣤⣤⣴⠞⣹⣆⠀⢻⡼⠀⠙⠤⠚⢹⡄⣠⣾⣿⡿⠿⠿⣿⣿⣿⣿⠶⠋⢩⠭⡄⡖⠋⢹⣿⠀⠀⡗⣿⣰⠏⠀⠀⠞⠉⢹⡆⠀⣿⠀⠀⠀ ⠀⠻⣬⣿⡿⠟⠁⠀⣰⣿⣩⠿⠓⠚⠁⠙⡆⢸⡗⠀⠀⠀⢀⣴⠟⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣹⡴⣷⢷⠒⢿⣼⡖⠚⣧⢿⠛⠲⣤⠖⣦⢳⣾⣡⡴⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠋⠉⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢠⠟⠉⠛⡇⣠⣾⣿⡿⣀⣤⣴⣿⡿⠻⣷⣶⣾⢁⣛⣖⠋⣩⣭⣭⡉⣬⣍⣉⣽⠛⢁⣼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⡏⠀⠀⠀⢳⡙⢿⠃⢾⣿⣿⣿⣋⡑⣶⣾⣿⣟⡾⠷⣿⠾⠓⠲⠯⣾⠓⢲⣻⠏⠀⢻⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⣀⣀⡀⠀⠀⠀⠀⣇⠀⠀⠀⣷⠀⠀⠀⠀⠙⢤⣀⠀⣽⣿⢿⣿⣿⣿⠟⠻⡷⠀⠀⠀⠀⠀⠀⠀⠘⠓⠋⠘⠷⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⢞⡯⠉⣉⠍⠉⠛⠓⠶⠤⣿⠀⠀⠀⠈⣷⣄⣀⠀⠀⠀⢨⠟⠉⢿⣿⣿⣦⣷⣶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣏⡏⣰⣋⣀⣠⢴⣶⠶⢶⡶⢣⠖⠀⡄⠸⡷⡶⠋⡹⠋⠛⡾⢧⣀⣤⣾⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⠯⠭⠷⠤⠴⠛⠀⠀⣾⣀⣇⣀⣀⣇⣀⡟⣷⣤⣧⣤⣤⣷⣶⡿⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠒⠛⠉⠉⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣤⣀⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢖⠀⠀ ⠀⠀⠀⠀⡟⠀⠳⡉⢗⠤⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⢀⣴⡿⠟⠋⢩⡇⠀ ⠀⠀⠀⣿⠁⠀⠀⠀⠙⢮⡃⡙⣆⠀⠀⡸⢸⠀⠀⡴⢿⠏⠀⠀⠀⠀⠈⣮⠀ ⠐⠗⠛⡟⠀⠀⠙⡄⠀⠀⠀⠈⠻⠥⢤⣧⣼⣾⠗⠉⠀⠀⠀⠀⠏⠀⠀⢿⡀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⢧ ⠀⠀⠺⢧⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⣽ ⠀⠀⠈⢧⣧⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢹⡖⡆⠀⠀⠀⠁⠀⠀⠀⠀⠀⢠⡟ ⠀⠀⠀⠀⠙⢯⡓⠲⡄⠀⠀⠘⠦⣄⡠⠞⠹⡤⠞⠉⠀⠀⠀⠀⣀⣤⡾⠥⠃ ⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀
₍^⸝⸝> ·̫ <⸝⸝ ^₎ i- love u ♡🤍💗˚₊· ͟͟͞͞➳❥
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( ᴗ͈ˬᴗ͈)ഒ♡(੭´͈ ᐜ `͈)੭
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(=^・ω・^=) ᓚᘏᗢ 🐈‍⬛ 🐈. ᓚᘏᗢ- 🐾. /ᐠ。ꞈ。ᐟ✿\
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡾⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠻⣆⠀⠀⠀⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠹⡆⠀⣼⢿⣿⠷⣦⣄⣀⣴⣶⣶⣬⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⢀⣧⣾⣿⡂⡍⠙⣸⣿⣟⡙⠄⠦⠈⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⣶⣿⠿⣋⡙⢻⣿⠾⠟⢿⢿⣿⣿⣷⠀⠀⢹⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠏⠁⠀⠈⠉⠉⠛⠲⠦⣤⣀⡀⠀⢸⠀⠀⠀⠀⠀⢻⣿⠀⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⡇⠀⣤⣼⡏⠉⠛⠲⢤⣄⣀⡴⠾⠛⠛⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣼⡄⠀⠀⠀⠀⠈⣿⣇⢿⣿⡿⣷⣄⡐⣲⣿⡟⠻⢶⣭⣷⡿⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⢷⣄⠀⠀⣼⠋⠙⠷⣶⡶⠟⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢀⣈⠳⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠉⢹⠟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⡇⠀⠀⠀⠀⡐⣠⣶⣶⣄⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⢹⣀⣀⣸⣄⣀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠸⣼⡟⠁⢫⢿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⢀⣀⠘⣏⠉⠉⣯⠉⠉⠀⠀⠀⣾⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⣿⠁⠀⠀⠈⢟⣿⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⠷⠞⠛⠉⠉⠉⠹⠿⠶⢿⣗⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣰⣆⠀⠀⠀⠀⢀⡿⠀⠀⠀⢀⣿⣆⣀⣀⣀⣈⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣛⣻⡦⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⣸⠟⠶⢶⣴⣿⠟⠋⠉⠛⠛⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⢀⣀⣿⠿⣤⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣶⣤⣀⠀⠀⠀⠀⠀⣀⣤⡶⢿⠻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⠿⣧⣴⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⠉⠛⠛⠛⠟⠛⠉⠁⠠⠀⠀⠀⢀⣩⣿⣷⣶⣤⣄⣀⣀⠀⠀⠀⠀⢀⣀⣠⣴⣾⠋⢁⣴⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠉⠀⠈⠙⣷⣈⡉⢙⠛⣿⠋⠉⠉⠉⠀⠀⠉⠻⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣇⠀⠀⠀⠀⠀⢐⣾⠏⠀⠀⠀⠀⠀⠀⣿⡧⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⣿⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⢿⣀⣀⣀⣀⣤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⣿⠀⠀⠀⠀⠀⠿⣧⡀⠀⠀⠀⣠⡾⢋⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠈⠹⠷⠶⢤⣤⣤⣴⣟⡻⠶⠶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣤⣤⣤⣤⠶⠞⠋⠉⣿⣷⣦⠀⠙⢢⡀⠀⢀⣠⣄⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⠻⢶⣤⣴⡶⠞⢛⡟⠛⠳⢶⣤⣤⣸⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡆⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣀⠀⠀⣀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣦⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⡿⠛⠛⡉⣉⣉⡀⠀⢤⡉⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣾⡿⢋⣴⣖⡟⠛⢻⣿⣿⣽⣆⠙⢦⡙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠒⠻⠻⠶⣦⣄⠀ ⠉⣿⢸⠁⣸⣥⣹⠧⡠⣾⣿⣿⣿⣿⣧⡈⢷⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣾⣿⣿⣶⣦⣈⠈⠻⣤ ⠀⢹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣫⠀⠙⣿⣿⣿⣿⣷⡄⣽ ⠀⠀⠳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠭⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⡊⠙⠉⠉⠉⠓⠲⠤⡀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣦⣴⣿⣶⣶⠀⠠⠀⣰⣤⣿⣦⠀⠀⠀⠀⠉⠙⠛⠻⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⠃⢀⣄⠀⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠟⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣄⡀⠀⠀⢀⣀⣠⣴⡿⣿⣦⣀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⠉⠉⠉⠉⠉⠑⠋⠙⠻⡢⢖⡯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⣘⣋⢚⡍⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠻⣽⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⠐⢿⣾⣿⣷⣿⣎⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡆⠀⠈⢻⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⣴⣤⣴⣶⣾⣿⠆⠀⠀ ⡷⣞⣿⣿⢿⣿⣿⣿⣿⠑⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⡇⠐⢄⡀⠹⣿⣿⣿⣿⣷⣦⣤⣤⣤⣦⡀⠀⣀⠀⣀⡄⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⠿⠓⠋⣏⣿⣿⡆⠀⠀ ⣏⢟⣿⣿⣿⣻⣿⠋⢀⣸⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣇⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣿⣿⡿⠛⠉⠀⠀⠈⢃⢣⣿⣿⡇⠀⠀ ⠗⠻⣿⡿⣿⣾⡿⡿⢶⡑⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠁⠀⠀⠀⠀⠀⠀⡜⣾⣿⣿⣿⡄⠀ ⡇⢰⣾⣿⣿⡿⡃⠁⢁⢀⠉⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⢀⡰⣿⣿⣿⣿⣿⡆⠀ ⣇⣸⣿⣿⢳⠽⣓⣤⡞⠋⠀⠀⠀⠀⠀⢀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠛⠋⡀⠻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀ ⣿⢻⣿⣿⣿⣶⡾⣿⣢⣊⡂⡀⢀⢠⣳⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⢁⢠⡀⣤⣟⠀⠀⠷⠀⠀⢀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⡏⠀⠀ ⡇⣞⣿⣿⣿⣿⣿⣿⠟⡟⠙⠠⣇⣟⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢀⣻⢇⠈⢾⠈⠺⠀⠀⠀⠀⠨⣿⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀ ⣟⡹⣿⣿⣿⣿⣿⣻⣶⢷⣦⣺⣷⣿⣿⣿⣿⣿⣿⣿⡟⠃⠠⣌⣹⣿⣷⣬⣾⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠠⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀ ⠇⠀⣿⢿⣿⣿⣿⣿⣯⣼⣿⣯⠿⣿⣿⣿⣿⣿⠃⠀⢠⣴⢹⣫⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀ ⡃⠰⣻⣾⣻⣿⣹⣿⣿⣿⣿⣿⡾⢾⣿⣿⣿⣇⣀⠀⢹⣿⣷⣿⡿⠉⠛⠛⠛⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⡇⠘⣿⣟⣿⣿⣻⡿⣹⣿⣿⣥⣕⣴⣿⣿⣿⣷⠿⣿⣶⣯⣿⡟⠁⠀⠀⠀⠀⡤⢀⣀⡀⠀⠀⠘⠿⠯⠙⠻⠿⡿⠿⢛⣿⣥⣘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⡇⠀⢈⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣲⠶⣯⣿⣟⡂⠀⠀⠀⠀⠙⣿⣉⣱⣿⣦⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⡟⢯⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⣧⣶⣿⣯⣿⣿⡾⣿⢿⣻⢿⣿⣿⣉⠉⡛⣿⣿⣿⠉⠉⠉⠁⠀⠀⠀⠀⠀⢠⣘⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢟⠟⠻⠛⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⣿⠥⠿⠿⠿⠿⡿⠿⣿⣿⠿⠿⠿⠿⠿⠯⢿⣿⣿⣿⣯⣽⣿⣶⢶⣓⣤⣶⣿⡿⢿⣷⢽⠒⠤⣀⡀⠀⠀⠀⠀⢀⡀⠀⠈⠃⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀ ⠀⠀⠈⣲⢈⢉⣷⡿⢻⠝⢿⣦⣦⣷⢶⡿⣉⣵⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠃⠙⠻⢷⡅⣴⣤⡹⣦⡀⠻⣤⣀⡀⠁⠀⠀⠐⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⡀⠀⠀⡶⣛⠡⠣⠀⠀⣴⣴⠾⠏⢱⣿⣿⣟⠟⠉⠈⢽⣿⣿⣿⣿⣿⣦⡄⠀⠔⠀⠀⠀⡿⢿⡟⣯⣿⣻⣿⡯⠙⠛⢶⣶⣄⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⡰⡂⡊⡲⠈⠷⣰⣻⢿⡵⣴⣿⣿⣿⠋⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⣽⡏⠻⢷⡙⣷⣕⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠩⠅⢀⣌⠷⢿⡊⢩⣿⠯⣿⣏⠀⠀⠀⠀⠀⠀⠀⠈⠻⠛⠿⢿⣿⣿⣿⣿⣦⣶⣽⡿⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠ ⠀⠀⢸⣾⣿⣥⣿⡏⡷⠂⠄⠊⢳⣷⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⣿⣿⣤⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠀⠈⠙⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⢈⣿⣿⣿⠿⡿⣿⢷⣴⠈⢈⣸⣯⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠛⢻⣿⣿⣿⣿⣿⡿⠟⠙⣿⡍⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠊⢻⡋⠀⠀⠀⠀⠈⠀⣠⠀⠁⠋⣻⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⡽⠁⣸⠇⠀⠀⠃⢻⡄⠀⠈⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⡇⠚⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⣧⡄⠂⠀⠀⠀⠀⠀⢠⠄⠀⠅⡵⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢹⣻⢀⠀⡀⠀⠀⠀⣻⡄⠂⠸⠱⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠈⣿⣶⣾⣷⠀⠀⠰⡗⡀⠢⠢⠄⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢻⣻⠏⠇⠆⣢⢰⣗⠸⠀⠠⠈⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢚⣿⣎⢷⠴⣿⣿⢿⠈⠄⠀⠀⢼⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢨⣿⣽⣹⣏⣬⢘⢯⠂⠦⡆⡀⠠⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣀⢀⣾⣿⣟⡀⣀⡀⣀⢀⠀⢀⣰⣀⣠⣹⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⡴⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⢿⠿⠿⠛⠋⠉⠻⢟⡿⠛⣡⠔⣩⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣤⡀⠈⠻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢦⡀⠀⠀⠙⠻⣟⠛⠉⡆⢠⠀⠰⡆⢰⠀⡼⡀⢈⡷⢋⣿⠇⢻⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠙⠉⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠀⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⡉⢻⡷⢤⣀⡐⠈⠳⢠⡇⠸⡄⢠⣧⢸⡆⠀⠙⢾⡄⠉⠹⡖⠀⢽⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠛⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⡀⠻⡇⠈⢳⣄⠀⠘⣇⣸⣷⣬⠛⣿⣇⠀⠀⠀⠙⢦⡀⠀⠀⠺⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⢉⠆⠀⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣇⠹⠘⠢⠄⠀⠈⠀⢸⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⠉⠦⣄⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠃⠈⠀⠀⠀⢰⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠠⠘⣧⠙⣿⣿⣿⡏⡼⢀⣀⠀⢀⣴⣶⣤⣤⠆⠀⠀⠠⠄⠨⣿⣀⠀⠀⠂⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠈⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⣄⠀⣀⣤⣭⡅⠸⢹⣿⠀⢳⣿⣿⣿⠛⠙⢋⡝⣡⠂⡀⣀⣀⣦⠀⠈⠻⡕⠢⣄⠀⠀⠐⠆⠈⠀⠠⠀⠀⡀⠀⠀⠰⡄⠀⠀⠀⠀⠀⣶⣟⡟⣿⣷ ⣿⣿⣿⣿⡿⠿⢿⠿⣿⣶⠿⠋⠉⢻⣿⣿⣿⣘⠀⠈⠆⣺⡿⠿⠏⡴⠃⢀⡶⠃⠐⠂⠀⠀⠈⠀⠀⠀⠉⠃⠈⠁⠀⠀⠸⣧⠀⠀⣀⡤⠧⣀⠀⠀⠈⠀⠀⠀⢀⣾⣿⡟⢞⢐⣇ ⠫⢹⣿⡷⢷⠆⢸⠀⠀⢹⣜⣆⠘⠦⣉⣉⣹⣿⡆⠀⢲⡙⠃⠒⠮⣀⡴⠋⢠⣾⠁⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⢸⠇⣄⠀⠀⠀⠀⠠⠀⠀⢠⠾⢟⣻⣿⣿⡟⣼ ⠁⠸⣫⣿⣸⡂⡜⡆⠀⠀⠙⠿⣿⣶⡞⠁⠀⠛⢷⣶⡶⠛⠛⠀⠀⠘⣋⡵⠟⠁⠀⠀⣠⠄⢀⣀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⣇⢸⡏⡿⣿⣿⣷ ⠠⣽⣿⣓⣿⡇⢱⡗⠒⡆⠀⠀⠈⠣⣄⠀⡀⠀⠘⠟⠛⠛⠀⣰⣿⢿⣯⡐⢆⣀⡠⠞⠃⠀⠀⠘⣏⣋⠀⠀⠀⠀⠀⠀⠠⣞⠁⠀⠀⠀⠛⡧⣼⣠⣜⣤⣴⡘⢾⡅⡿⡷⢿⣿⢼ ⣮⣟⣟⡝⣫⣾⣹⡗⠺⣶⣿⣿⣋⡥⠈⠻⣷⢶⣴⣤⣤⣴⣾⡿⣿⣦⣘⣿⠶⣡⣤⣤⣤⣄⡀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠚⣿⠁⣫⠽⠛⠙⣿⠡⢻⠎⣻⡾⣾ ⡯⢋⠝⡧⣻⡯⣹⡷⢖⠻⡟⣿⣆⣿⠳⡀⠘⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠿⢟⣁⠀⠀⢩⡉⠀⠀⠀⠀⠀⠀⠀⣠⡤⠀⠀⠀⠀⠉⠒⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⣇⣾⣝⠀⡖⣿ ⣿⢏⢙⣇⣴⡇⠋⢘⠀⠑⣷⡜⣿⣿⡇⣹⣶⠿⠛⠉⠁⠉⠻⠛⠉⠩⣧⡐⡄⢺⡙⠲⣄⢳⣦⠀⠀⠀⢀⣶⣿⠧⠀⠀⠀⢦⣤⣾⣿⡿⠀⠀⡀⠀⢀⢠⣄⡬⣦⢵⡏⠊⠁⠀⠘ ⠇⠀⢹⠏⡇⡇⣠⠤⠶⡖⠋⣷⠹⡟⢷⡘⣿⢳⣦⡀⠀⠀⠀⠀⠀⠀⠈⠿⣌⠀⠙⢷⣟⢲⣾⣷⢖⣲⣾⠿⠟⠓⠛⠛⠛⠛⠋⠋⠉⡉⡛⣚⣟⢷⣟⣿⣽⡏⠑⡮⠁⠀⠀⠀⠀ ⠶⠀⢳⡄⢶⠁⢸⠀⠀⠀⠈⣉⣿⣻⣾⣧⣽⣿⣿⣧⣄⠀⠀⠀⢀⣀⣀⠀⠨⠷⠴⠒⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⡐⠒⢾⢟⠿⠾⠭⠿⠍⠀⠀⠀⠀⠀⠀ ⠠⠉⣁⢹⡇⠀⠈⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠉⠛⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠐⠐⠄⡠⠀⠈⠁⠙⠀⠀⠀⠀⠀⠀⠀⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⣀⠤⣒⣭⣿⣿⣾⣧⣂⣕⢆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⡠⠲⢛⣉⣘⣣⢔⡤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡐⣡⠜⣵⣾⣿⣿⣿⡿⡿⣿⣿⣷⣕⡛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⣐⠯⣾⣿⣿⣿⣿⠻⢷⣽⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⣾⣿⣿⣿⣿⣿⣿⣦⣿⣿⡿⣿⣞⠽⡄⠀⠀⠀⠀⠘⠀⠀⢃⡞⠀⠀⠀⢺⡾⣾⣿⣿⣮⣹⣿⣧⠀⠙⢯⠣⡀⠀⠀⠀⠀ ⠀⠀⠀⠐⠄⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⡌⢧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣬⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⠆⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢾⣟⣿⣿⣿⣿⣟⢻⣾⡿⠁⠀⠸⡯⠼⢀⠘⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣼⣿⣿⣿⣿⠏⠀⠈⢠⠃⠀⠀⠀⠀⠀ ⠀⠀⠉⠐⢄⠀⠹⢟⡿⣿⡿⠿⠛⠉⠁⠀⠐⠪⢁⠀⠈⠖⡌⣰⢤⢘⡺⢶⣘⠂⠂⣀⡇⢀⠉⠻⢿⣿⢟⠋⠀⢁⣰⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢘⡀⣜⠄⠒⠈⠉⠈⠈⠛⠷⣣⠃⠰⠁⠀⠀⠀⠙⠃⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢄⡀⠀⢀⠀⠀⠀⠀⠀⠈⠸⢯⣴⣖⡀⠀⠀⠀⠐⢬⣿⢃⠆⠀⠀⢀⡠⠀⡠⠔⠀⣠⠖⢀⣠⠀⠀⠀⠀ ⠀⠀⠀⠐⠊⢠⡶⣐⡶⢊⡤⠊⡠⠞⣁⠄⠀⠀⠀⠀⠀⠀⠐⠙⢻⣷⣄⢄⣤⣺⠿⠃⠀⠀⡠⠔⢉⠴⠊⢀⠴⠋⢈⡴⠋⢀⡤⠀⠀⠀ ⠀⠀⠀⢀⠗⠍⠖⢡⢔⠋⠠⠊⠀⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣋⢻⣿⠛⠁⠀⠀⠀⠀⠀⠀⠁⠀⠒⠁⠀⠔⠁⠠⠒⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠠⢊⢾⣴⣽⣷⡔⠦⣀⠀⢄⡄⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⡤⠴⠒⠃⢉⠀⡄⠠⠀⠂⠀⠁⠀⠀⠀⠀⠁⠚⣦⣶⡶⠿⠛⠉⠙⠛⣿⣦⠑⢄⠀⠕⢳⢢⢲⢁⢞⠰⠤⡄⡀⠠⠀⠀⠀⠀⠀ ⠀⠀⣁⢠⠰⠆⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⢸⠋⠉⠀⠀⠀⠀⠈⠀⠀⠙⠳⡉⠃⠈⠀⠀⠉⠃⢮⢐⠰⢠⣁⠓⠆⠄⠀⠀⠀ ⠂⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠳⣄⠁⠃⢦⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢅⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⣀⣀⠀⠀⢀⠀⠀⡀⠀⢀⢀⠀⠀⠀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⣀⢠⢶
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⡀⣠⣾⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀ ⠀⣶⣿⣦⣜⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⡿⢿⡏⣴⣺⣦⣙⣿⣷⣄⠀⠀⠀ ⠀⣯⡇⣻⣿⣿⣿⣿⣷⣾⣿⣬⣥⣭⣽⣿⣿⣧⣼⡇⣯⣇⣹⣿⣿⣿⣿⣧⠀⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⣠⣿⠏⠉⢩⣿⠟⠋⠉⠉⣽⡟⠙⣿⣏⠀⠀⠀⠀⢀⣼⣿⣯⣿⡿⠋⠉⠉⠉⢹⣿⠏⠉⠉⠉⣠⡈⠉⠉⠉⠀⠀⠀⠀⣠⣽⣿⡟⠉⢹⣿⠉⠉⠁⠀⠈⣿⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠏⠀⢠⣿⠋⠀⠀⠀⢠⣿⠁⠀⠹⣿⡄⠀⠀⣠⣿⠟⢿⣿⠟⠀⠀⠀⠀⠀⣿⡏⣀⣤⣶⣿⣿⠇⠀⠀⠀⢀⣠⣶⡿⢟⣽⡿⠃⠀⣾⡏⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⢀⣿⡟⠀⢠⣿⠃⠀⠀⠀⠀⣸⣿⡾⠶⠶⣿⣿⣄⣼⡿⠃⠀⣾⡏⠀⠀⠀⠀⠀⢀⣿⣿⠟⠋⠁⢸⡿⠀⣀⣴⣶⡿⠛⣩⣴⡿⠋⠀⠀⣼⡿⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀ ⠀⠀⠀⣼⡿⠀⢀⣾⠏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣻⣿⠟⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⣻⣿⣿⠟⠋⠙⠛⢿⡟⠁⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⢰⣿⠃⠀⣸⡟⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠰⠿⠁⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀ ⠀⢀⣿⡏⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠻⣷⣤⣤⣴⠆⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⣀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀ ⠀⢸⣿⡁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣹⣿⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⢀⣿⣇⣀⠀⠀⠀ ⡆⠀⣿⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀ ⣿⡄⣿⣿⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⣀⣀⡀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⣀⣤⡄⠀⠀⢀⣿⣿⣿⡿⠀⠀⠀ ⠻⣿⣾⣿⡀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢙⣿⠆⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣤⣄⠀⠀⠀⠀⠀⠀⣴⣿⣏⣠⣤⣶⠿⠟⠉⠀⠀⢀⣾⡿⠃⣿⡇⠀⠀⠀ ⠀⠙⢿⣿⣧⠀⠸⣿⡄⠀⠀⠀⠀⢀⣴⣄⠀⠀⠀⠀⣸⣿⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠁⠀⠀⠀⠀⠀⣠⣿⠏⠀⢰⣿⠀⠀⠀⠀ ⠀⠀⠀⠙⠻⠂⠀⢹⣷⣤⣤⣶⠿⠛⠛⠿⣷⣦⣀⣠⣿⠃⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⣠⣾⠇⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⣼⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣦⡄⠙⠋⠉⠀⠀⠀⠀⠀⠀⠉⠻⠿⠃⠀⠀⠀⠀⠹⣿⡄⠀⢀⣤⣾⠿⣷⣤⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠟⠁⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⡿⠋⠀⠀⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⢻⣇⠉⠻⢷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀ ⣧⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⢻⡟⠿⣷⣦⣀⠀⠀⠀⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⠀⣠⣴ ⣿⡆⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠘⣿⡀⠸⣌⡛⠻⣷⣦⢿⣿⣿⢠⣶⣄⡀⠀⠀⢀⡀⢀⣀⣠⣤⣴⡶⠿⠟⣿⣏⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣤⣤⣴⣶⣿⣿⠏ ⠁⠀⠀⠀⠀⠀⠀⢸⣦⡘⢿⣆⠀⠘⢿⣤⣈⣀⣀⣿⡟⠈⠛⠋⠀⠛⠻⣿⡛⠛⠛⠋⠉⢻⣯⡁⠀⣀⣤⡾⢟⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣏⠉⠁⢠⣿⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣦⣤⣬⣽⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣤⣀⠀⠀⠉⠉⣉⣩⣽⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣦⣿⣟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣍⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⣿⣿⣿⡷⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣄⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠋⠀ ⣿⣿⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣷⠶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⢾⣿⢿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⠟⢛⣿⠃⠀⠀ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣶⣄⠀⢹⢯⡉⠉⠉⠛⠿⢥⣌⠉⢁⡴⠚⠁⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⡾⠿⠛⠉⠀⢀⣾⣟⣠⣶⣿ ⣈⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⠈⢿⣧⣹⠏⠀⠳⣄⠀⠀⠀⠀⠈⢳⡾⠻⣄⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠾⡿⠿⠛⢹⣿ ⢻⡟⠀⢀⣀⣤⣴⣶⡿⠿⠟⠛⠉⠉⠉⠻⠿⣾⣿⣷⣤⣤⣤⣉⣉⣉⣙⠛⠛⠋⠀⠀⢹⡿⠃⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⠿⠿ ⢿⣷⡾⣿⡛⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣬⣍⣙⠛⠛⠻⠿⠿⠶⡶⣟⣁⣤⣤⣶⣿⣿⣿⡿⣿⣄⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣶⡀⠀⢰⣿⠃⠀⠀⠀ ⠈⠁⠀⠙⣿⣿⡋⠉⠀⠀⠀⠀⠰⣟⣻⡄⠀⠀⠀⣀⣀⠀⠉⠙⠻⠿⣶⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⠟⣋⣁⡀⠈⢻⣧⡀⠀⢸⣿⠀⢰⣦⣀⠀⠀⠀⠀⣿⣿⣦⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⡿⠷⢶⣶⣤⡀⠀⠈⠉⠀⣀⣴⠞⢋⣿⠇⠀⠀⠀⠀⠀⢀⣀⣉⣉⣻⠿⢿⢋⣩⣶⣿⠿⠛⠿⣷⣦⣹⣿⣄⣾⡏⠀⢸⣿⣿⣷⡄⠀⢰⣿⠛⢿⣿⠀⠀⠀⠀⠀ ⢠⣦⣄⣀⣀⣻⣧⡀⠀⠈⠻⢿⣦⡀⠀⠘⢿⣤⣤⣾⠏⠀⠀⠀⢀⣠⣾⠿⠟⠛⠛⠻⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⢹⣿⣟⣿⡿⣷⣦⣼⣿⡀⠹⣿⣦⣿⡟⠀⠈⢿⣧⠀⠀⠀⠀ ⠀⣿⣟⠛⠛⠛⠛⠁⠀⠀⠀⠀⠙⠿⣷⣄⠀⠀⠉⠁⠀⠀⠀⣾⠟⣿⡏⠀⠀⠀⠀⠀⠀⢰⣷⡀⠀⠀⠀⠀⣸⣷⡄⠉⠛⢿⣶⣤⣈⠙⠛⠃⠀⠘⣿⡟⠀⠀⠀⠈⢿⡇⠀⠀⢀ ⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⡀⠀⠀⠀⢀⡘⠛⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣷⣀⣀⣤⣶⡿⠋⠀⠀⠀⠀⠈⠙⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣤⣶⠟ ⠀⠀⢈⣿⣷⡄⠀⣾⠿⢶⣤⡀⠀⠀⠀⠀⠀⠙⠿⣶⣤⣴⡿⣿⣤⣿⠃⠀⠀⠀⠀⠀⠀⣸⡇⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠈⠛⠻⣿⣦⠀⠀⠀⠀⠀⠘⠟⠋⠁⠀ ⣤⣤⣾⣿⣯⣤⣼⣿⣤⣤⣽⣿⣷⣦⣤⣤⣤⣤⣤⣤⣭⣿⣥⣾⣿⣿⣦⣤⣤⣤⣤⣤⣴⣿⣵⣿⣿⣧⣴⣶⣶⣶⣶⣶⣦⣾⣿⣿⣤⣶⣶⣦⣤⣾⣿⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤
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