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⠀⠀⠀⠀⠀⠀⢀⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⢠⣾⡿⣷⢦⣠⣿⣻⣞⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣄⢀⣴⡿⣿⣷⠀ ⠀⢿⣿⡽⣯⣟⣷⣻⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣳⣟⡾⣿⣽⣻⢷⡟⠀ ⠀⠀⠻⣟⣷⣻⣞⡷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⠶⠾⠟⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⢶⣦⣤⣀⠀⠀⠀⠀⠘⣿⢾⣽⣳⢯⣟⡿⠀⠀ ⠀⠀⠀⠈⠻⠷⣯⠟⠁⠀⠀⠀⠀⠀⣠⣴⡾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣄⡀⠀⠈⠻⣾⣽⣻⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠈⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⢿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣀⡀⠀⠺⣿⠿⠏⠀⠀⠀⣉⣋⣡⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀ ⠀⠀⠀⠀⣿⡟⣧⣀⠺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⣠⡶⠟⠛⠋⠉⣿⡍⠉⠉⠉⠙⠛⢿⣷⣶⣦⡀⠀⢀⣀⣄⠀⠀⢸⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣷⢫⢷⣦⣾⠟⠛⢻⣿⣻⣿⣿⣿⣿⣿⣿⣦⠀⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣺⡿⠿⣿⣷⠸⡜⣿⢏⠁⢀⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣷⠈⣿⡿⠁⠀⢀⣼⡿⠛⠛⠛⠻⣿⣿⣿⢿⠧⣿⣧⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⢠⣿⠇⠀⠘⣿⣇⢻⢹⠀⢠⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡟⢻⣿⡿⠀⠀⠀⣾⡟⠀⠀⠀⣀⣾⡟⠈⢻⣿⢣⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⣿⡇⠀⠀⣠⣿⠋⠀⣴⣦⣤⣄⠀ ⠀⠀⠀⢹⣿⡈⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⠈⣿⡟⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⣴⣿⠁⠀⠀⢿⡽⣞⣿⠁ ⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡾⢻⣿⠀⠀⠀⠈⠻⠛⠁⠀ ⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⢀⣠⣀⡀⢀⣴⣶⣶⡀ ⠀⣠⣶⣶⣄⠀⢀⣴⡾⡝⠻⢷⣦⣤⣄⣀⣀⣠⣴⣿⣟⣀⣀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡅⠀⠀⣾⢿⣽⣻⢿⡽⣾⣽⠇ ⠀⢿⣿⢾⣽⣳⢿⣯⣟⡿⠀⠀⠈⠉⠉⠛⠛⠉⠉⠉⠉⠋⠛⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠃⠀⠀⠸⣟⡾⣽⢯⣟⣷⡟⠀ ⠀⠈⢻⣟⡾⣽⣻⢾⣽⠃⠀⣠⣤⣄⠀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠙⢿⣤⡀⠀⠀⠀⠀⢀⣀⣠⣤⣶⡿⠟⠋⠀⠀⠀⠀⠀⠈⠿⣯⣟⣾⠟⠀⠀ ⠀⠀⠀⠙⠻⣷⣯⠿⠃⠀⠀⢿⣯⣟⣿⣻⣽⣻⠇⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣟⣾⣳⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⣟⡿⣽⢯⣟⣯⣟⣯⣟⣯⣟⣯⣟⡿⣽⣻⣽⣻⢯⣟⡿⣽⣻⣟⣿⢻⣟⣟⣿⣻⡿⣛⣿⢿⣻⢿⣹⣟⡿⣻⢯⣝⡻⣟⡿⣻⣟⣿⣻⢟⣯⣛⢿⣻⣽⡻⣯⣟⣯⣟⢿⣽⣻⢯⣟⡿⣽⣻⢯⣟⣯⣟⣯⣟⢿⣻⢿⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣏⡿⣽⠾⣝⣯⣞⡷⣞⡷⣞⣧⣟⡾⣵⣻⡗⣿⣼⣳⣟⡾⣽⣳⣟⡾⣽⣻⢞⣼⠗⣯⣼⢿⣽⣫⣟⡮⣷⢯⡽⣯⢻⡽⣞⡹⣿⡵⣯⢿⣳⣯⢿⣹⣮⡝⣾⡽⣧⣟⣞⣾⣛⣮⢷⣻⠾⣽⡷⢯⣟⡾⣵⣞⡷⣞⣯⢷⣛⡾⣽⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣏⡿⣽⡽⣞⡿⣽⣞⣳⠿⣭⢿⡽⣞⣳⣟⣳⢯⣽⣳⠷⣯⢾⣽⡳⣿⣽⣻⣳⢏⠞⣥⣿⣻⣭⣟⣶⣻⢞⡵⣯⢿⣹⡽⣏⡿⣽⣳⡝⣷⢯⣟⡷⣟⣯⢷⣯⢷⣇⢿⣳⢾⡽⣶⣻⢞⣯⢯⣟⣷⣻⣯⢝⣿⣳⢾⡽⣻⡼⣯⢯⡽⡾⡵⣏⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣏⡷⣯⢟⡾⣝⣯⡽⣾⣭⡟⣿⡽⣏⡿⣽⣳⢯⣟⣻⢾⣝⡿⣽⣻⢶⣻⢷⣯⢷⣋⣮⢿⣻⣵⣻⢮⣷⣛⡾⢯⣿⣹⢯⣷⢻⣽⣟⡷⢯⣟⣞⣿⠾⣝⣿⢺⣟⣾⣻⣞⣧⡻⣏⡷⣯⢷⣛⣾⣛⡾⣞⣵⣻⢿⣴⠻⣟⡾⣽⣻⢷⣯⣻⢽⣻⣭⠷⣏⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠒⠲⠤⣀⠀⠀⠀⠀⢠⣾⢿⣹⡽⣽⣞⣯⠿⣽⠾⣽⣳⢾⣽⣳⢿⣹⢯⡷⢯⣟⡾⣽⢯⡾⣽⣳⢯⣟⣽⣻⣾⢣⣿⡽⣯⢷⣛⣾⣛⡶⣯⣟⣟⡾⣭⣟⣾⣻⣾⢯⣿⣻⠾⣽⢾⡿⣽⡞⣟⣾⢳⣟⣼⣳⢿⡝⣿⣽⣫⣟⣼⢯⣻⡽⣞⣽⣻⢾⣻⡜⣿⢾⣹⢷⣛⣷⢯⡗⣯⢿⣹⠾⣽⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠞⢍⠀⠀⠀⠀⠀⡇⠈⠑⣄⠀⣠⡿⣏⣯⢷⣻⡵⣾⣭⢿⡽⣻⣳⢯⣟⡾⣭⢿⣽⣫⣟⡿⢾⣽⣛⡾⣽⣳⢯⣟⣾⣳⡽⣷⢿⣳⢿⣹⢾⡽⡾⣝⣯⢷⣛⡾⣽⣳⣻⣾⣿⢯⣿⣯⢷⣻⣽⣛⣾⢳⡿⣹⣾⢿⣿⣞⣽⣞⡿⣿⣞⡷⢯⣞⣯⣷⡿⣽⣞⡽⣯⢷⣻⡜⣿⣽⣫⢷⣎⠿⣝⣻⢯⣿⣻⢵⣫⣟⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠃⠀⢈⣢⣄⣀⣠⠮⣄⠀⠀⠈⣷⡿⣽⣹⢞⣳⢯⣞⢷⡞⣯⣽⣳⢯⣟⡾⣽⣏⡿⣶⣻⠾⣽⣻⠾⣝⣟⣳⢯⣟⡾⢧⣟⣳⢯⣿⣹⢾⣽⣿⣽⣻⡽⣞⣯⣟⣽⣳⢯⣷⣿⣟⣿⣿⡽⣯⢷⣫⡽⣞⣯⣽⡿⠁⠺⣿⡾⣽⣯⢿⣵⣻⣞⡿⣞⣳⣿⢿⣳⢾⡽⣯⣻⢷⣻⣽⡾⡽⣯⢿⡜⡭⣾⣟⡷⣯⠿⣵⢾⣹⢷⡖⠉⠉⠑⡒⠠⡀⠀⠀ ⠀⠀⠀⡎⢀⡴⠋⡔⢢⠱⣌⠓⣌⠻⣄⠀⢸⡿⣜⡷⣫⢟⣾⡽⠞⢛⢓⠷⣯⣟⡾⣽⣳⢾⣽⣳⢯⣟⡷⣯⢿⡽⣾⣽⣻⠾⣽⣻⢾⡽⣻⢶⣯⣟⣿⣿⣞⡷⣻⡽⣞⡾⢧⣟⣿⢣⣿⡾⣿⣿⡽⣳⢯⣷⢻⡽⣿⠋⢀⠄⠀⢿⣟⣷⡿⣟⡾⣵⢯⣻⣽⣳⣿⢿⣻⣯⠿⣵⢯⣟⣳⢯⣽⣻⡵⣯⢿⡴⣻⢾⡽⣯⡿⣽⠾⣝⣾⡽⣦⠀⢰⠀⠀⠈⠢⡀ ⠀⠀⠀⢣⠼⢆⢣⡘⢥⠳⢬⡙⢆⢳⡘⣧⣸⣿⡹⣾⠝⠋⠁⠀⠀⡜⡎⠀⠀⣿⣻⡵⣯⣟⡶⣯⣟⡾⣽⣽⣫⣟⣾⣷⣯⣟⡷⣯⢯⣟⣽⣳⣿⡾⢹⣿⢾⣽⣳⠿⣭⣟⣿⣿⠃⣾⡟⢸⣿⡷⣻⣽⢫⣾⢿⡟⠁⡠⠂⠀⠀⠘⣿⣿⡽⣿⡿⣽⣫⢷⣳⢯⣿⡿⣽⣯⡿⣽⣻⠾⣽⣻⠾⣵⣻⡽⢯⣷⣻⢯⣽⣻⡽⣯⢿⡽⣞⣿⡽⣧⡀⢆⠀⠀⠀⠰ ⠀⠀⠀⠘⢿⣤⠢⣉⠦⣙⢢⡙⢬⠒⣍⣿⣧⣉⡙⠣⠤⢤⣄⠀⠀⣳⠁⠀⢠⣟⡿⣽⣞⣳⣟⣳⡽⢯⡷⣞⣷⣻⣿⡿⣞⣵⣻⣭⣟⡾⣳⣿⡽⠁⣾⣟⣯⢶⡯⣟⣷⡿⣿⠃⢸⡿⠁⣿⣷⡻⢷⣹⡿⣯⠏⠀⠔⠀⠀⠀⠀⠀⢻⣾⣿⡷⣿⡷⣯⢿⣭⣟⡿⣿⣷⣻⣟⡷⢯⣟⡷⣯⣟⡷⣯⣻⢟⡶⣯⣟⡾⣵⣻⢯⣷⣻⢽⣞⣿⣽⣻⣏⠦⣀⣀⡀ ⠀⠀⠀⠀⠀⠛⢶⣠⠓⡌⢦⡙⣦⣽⣾⣿⢶⣹⡏⠉⠒⣶⡿⠀⢸⣼⠀⠀⣼⣿⣽⡳⣯⢷⢯⣷⢻⣯⠿⣽⣾⢿⣿⣿⡽⣞⡷⣽⠾⣽⣿⣻⠁⠀⣿⣟⡾⣫⢷⣻⡿⣽⠃⠀⣿⠁⢰⣿⣳⡟⣯⣿⣽⠃⢠⠊⠀⠀⠀⠀⠀⠀⠸⣿⠸⣿⣳⣿⡽⣞⣧⢿⡷⠸⣷⣯⢿⣟⣿⣺⣽⣻⣾⣽⣳⢯⡿⣽⣳⢾⣽⣳⢯⣻⢾⡽⡾⣭⢿⣾⠳⣿⣷⣆⡉⢄ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣽⠟⣿⡝⣮⢷⡇⠀⠀⠀⠀⠀⡘⡇⠀⣰⣿⢷⣳⢿⣹⣞⡿⣺⣟⢾⣻⣽⢯⡿⣿⣷⣻⣭⣟⣾⣻⡿⣽⠃⠀⠀⣿⣯⣟⡽⣿⣻⣽⠃⠀⢸⠃⠀⣼⡷⣯⣽⣳⡿⠁⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢿⡷⣯⣿⡽⣞⣯⡷⠀⢿⣽⢯⣿⣶⣻⢶⣿⣿⡾⣭⣟⣾⣳⢯⣟⡾⣭⢿⣭⢷⣻⡽⣏⣯⢿⡗⡤⢩⠝⣳⠎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⣼⡷⣻⢵⣫⠇⠀⠀⠀⠀⠀⡇⡇⢠⠟⣿⢯⢷⡯⡷⢯⣽⣳⢯⣟⣷⣿⣻⠃⣿⣷⢻⡼⣞⣷⢿⣽⠃⠀⠁⢸⣿⢷⣫⣿⢯⡿⢃⠀⠀⠇⠀⢠⣿⣽⣳⣯⡟⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⣿⣷⣻⡽⣞⡷⣏⠀⠸⣿⢯⣟⣾⣳⣟⣾⣟⣿⣳⣟⣮⠿⣽⠾⣽⢯⣟⡾⢯⣷⢻⡽⣞⣻⣿⣐⣧⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⢰⣿⢳⣏⡾⣽⡀⠀⠀⠀⠀⠀⠇⡇⠁⢸⣟⣯⢷⣻⣿⣻⢾⣝⡿⣺⣟⣾⡏⠀⣿⣯⢿⣹⢿⡽⣿⠃⢠⠂⠀⢸⣟⣯⣽⣞⡿⢃⠌⠀⠀⠀⠀⢸⣷⢯⣽⠏⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢹⣷⢯⣿⣽⣻⡇⠀⠀⢻⡿⣞⣿⣳⢾⣽⣿⡽⣷⣻⣞⡿⣽⣻⣽⣛⡾⣽⣻⣞⣯⣟⡽⣧⢿⡉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣿⠾⣝⣮⢗⣯⡇⠀⠀⢀⡀⠀⢩⡇⠀⣾⣻⢮⣟⣳⣿⣯⡟⣾⡽⣿⣻⣾⠁⠀⣿⣿⣫⣽⡿⣽⠏⢀⠁⠀⠀⣽⣟⣾⣳⡿⠁⡌⠀⠀⠀⠀⠀⣾⣯⣿⠋⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⣟⣾⣷⡇⠀⠀⠸⣿⡽⣾⣯⣟⣾⢻⣿⡽⣷⢯⣻⡗⣿⣞⣽⣛⡷⣯⣞⢷⡾⡽⣞⢯⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⢟⡽⣮⢟⣼⡇⠀⣏⠉⠹⠴⢾⡇⠀⣯⢷⣻⢞⣿⣾⣷⣻⣗⣿⣟⣷⡏⠀⠀⣿⣽⣳⢯⣟⡟⠀⠎⠀⠀⠀⣿⣞⡷⣿⠁⠜⠀⠀⠀⠀⠀⠀⣿⣾⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢯⡿⣽⠀⠀⠄⠀⣿⣟⡷⣿⢾⣽⠸⣿⣽⣻⣯⢷⣻⣷⣟⡾⣽⣫⢷⡯⣟⡾⣽⣫⢯⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡽⡾⣝⡾⣛⡾⣿⠉⠀⠀⠀⠀⢸⢳⢰⣿⣛⣾⣻⣟⣾⣿⣷⢯⣟⡾⣿⠀⡐⠀⣿⡽⣯⣟⡟⠀⠌⠀⠀⠀⠀⣿⢾⣽⠃⠀⠀⠀⠀⠀⠀⠀⢸⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⢟⣿⠀⠀⠂⠀⢸⣿⣽⣻⢯⣿⠀⣿⣷⢯⣿⢯⣷⡿⣾⣟⡷⣯⣿⣽⣫⣽⣿⡷⣏⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽⣽⣫⡽⢯⡽⣿⡀⠀⠀⠀⠄⠸⣼⣸⣷⣻⢶⡿⣽⣾⢸⣿⣻⢯⣿⠇⢀⠃⠀⣿⣽⣳⣿⠥⠖⠲⠶⠶⠶⠶⣾⢿⣧⣄⣀⣀⣀⣀⣀⣀⣀⣸⣃⣠⣤⣴⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⢿⡇⠀⠰⠀⠀⠈⣷⣯⣟⣯⣿⠀⢹⣯⡿⣾⣟⣾⣿⣳⢯⡿⣽⣻⢶⣻⣞⣿⣽⡟⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣾⢳⣯⡽⢯⣷⢻⣇⠀⠀⠀⠀⠀⢷⢻⣯⢷⣯⣿⣳⡇⠈⣿⣽⣻⣾⠀⠈⠀⠀⢿⣷⣻⠃⠠⠀⠀⠀⠀⠀⠀⢻⡏⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⣄⡀⠀⢻⣿⠃⠀⠀⠀⠀⠀⣿⢾⡽⣾⡇⠀⢸⣿⣽⣳⣯⣿⣷⣻⢯⣟⡷⣿⣯⢷⣫⡏⢿⣽⣻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡞⣿⣞⣽⣻⢞⣯⢿⣤⣤⣤⣶⣾⣿⣿⣿⢯⣾⢷⣿⠁⠀⢹⣷⣻⡇⢠⠃⠀⠀⢸⣿⠏⠀⠁⠀⠀⠀⠀⠀⠀⢿⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠽⢶⣾⣿⣄⣀⣀⣀⣀⠀⢹⣿⣽⣻⠇⠀⢘⣿⣞⡷⣯⣿⢷⣯⢿⣾⣻⢷⣟⣯⢿⡏⣼⣿⣽⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽⣻⣞⣧⢿⣟⣾⣻⣟⣯⣟⣯⢷⣯⣟⣿⣯⣿⢯⡏⠀⠀⠈⣿⣽⠀⠌⠀⢀⣀⣸⡏⢠⠤⠤⠤⠤⠤⠤⠤⠤⠥⠬⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠏⠉⠉⠉⠉⠉⠛⢻⣿⣞⣿⠂⠤⣄⣿⡾⣽⣿⣿⣻⣞⣿⣾⣟⣯⣿⣞⣿⡗⡌⢿⣿⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢾⡽⣾⣭⣿⣟⣾⣳⣟⡾⣽⢾⣻⢾⡽⣾⣽⣯⣿⠇⣀⡠⠤⢾⡟⣾⠋⢉⠉⠄⣼⠃⡘⢀⢂⣐⣈⣉⣉⣉⣉⣉⣉⣉⣉⣉⠙⠛⠻⠥⢴⣖⣢⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⠇⠀⠐⠀⣿⣻⢷⣿⣷⣟⣾⣳⣿⣟⣷⣻⡾⣽⡷⡘⢤⡏⢸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡿⣽⣳⣞⣷⣻⣞⡷⣯⢿⡽⣯⣟⣯⢿⣽⡇⠀⢆⠀⠘⡄⡐⠘⠇⡉⠐⡠⢈⠐⢤⣷⡿⠿⠛⠛⠛⠋⠉⠉⠉⠉⣹⣿⣿⣿⡛⠛⠶⣶⡤⣌⠓⡀⢂⠀⣏⠉⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠠⠃⠀⣿⣟⣿⢻⣟⣾⣳⣿⣿⣟⣾⣻⣽⢿⡧⡑⠦⣇⠀⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣻⣞⣷⣻⢾⡽⣯⢿⣽⣳⣟⣾⣻⡾⣷⠀⢸⠀⠀⣇⠠⢁⠂⠤⢁⡐⠄⠊⠄⢻⣧⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⣸⣿⣿⡄⠀⠀⠑⢆⠐⡀⢂⠐⢸⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠉⢹⣩⠷⠛⣋⣉⣉⣉⣍⣉⣉⣙⣒⡒⠶⠤⢼⣇⣀⡀⠀⠀⣿⣯⡏⢸⣿⣳⣿⡿⣾⡽⣾⡽⣿⣻⡗⡘⠤⢹⡄⢺⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣟⣾⣳⢯⡿⣽⢯⣟⣾⣳⣟⣾⣳⣿⣿⣤⣸⡄⠀⢸⡀⠂⠌⡐⠠⠐⡈⠄⠃⠤⠘⢆⠀⠀⠀⡀⠐⠀⠸⣿⣤⣾⣿⣇⣩⡇⠀⠀⡇⠄⠒⡀⠂⠌⡘⡆⠈⢆⣀⣀⣀⣀⣀⣀⠀⢠⠃⢠⠏⢁⡾⠛⠉⠉⣩⠭⢭⣍⠉⠛⠛⠻⠿⣶⣦⣄⠠⢈⠙⠒⣿⡿⣀⣸⣷⢯⣿⣟⣷⣻⣷⣻⢷⣿⣇⢋⠦⡁⣇⠀⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⣿⣻⢾⡽⣯⢿⣽⣻⣞⣷⣻⠾⠷⣯⣿⣾⣯⣟⡷⢄⠐⢇⠁⢂⠤⠑⠠⠁⠌⠒⠠⡁⠌⠳⣄⡀⠀⢀⣀⣀⣹⣿⣦⣤⣶⣿⡶⠲⠞⠁⠌⡐⠠⢁⠂⢤⠃⠀⢀⣀⡀⣀⣀⣀⡀⠈⠉⠀⡎⢀⠂⠀⠀⠀⣾⠁⢀⣾⣿⣷⡄⠀⠀⠀⠀⠉⠛⢿⣦⡈⢰⣿⠃⢸⣿⣿⣿⣿⣾⣳⣿⣿⣽⣻⣾⢧⠊⡔⢡⢸⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⢻⣯⢿⡽⣯⣟⣾⣳⣟⡾⠁⠀⠀⠈⢻⣿⣷⣫⣷⠀⠑⢜⣎⠀⠂⠌⢠⠉⠄⡡⢁⠐⡈⡐⠠⢉⠙⡉⠉⠤⠿⠛⠓⠛⡉⢉⠡⠐⠠⢁⠂⠤⢁⠂⢌⡞⠀⠐⡧⠀⠀⠀⠀⠀⠀⠉⡷⠀⢳⠀⠌⡀⠀⠀⣿⡿⣿⣿⡉⢻⠇⠀⠀⠀⠀⠀⣀⠾⠟⠡⠘⡃⠌⣸⣿⣿⣿⡇⠀⡏⢹⢿⣾⣽⣿⠠⡍⠰⠡⢸⠀⠈⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠘⣿⢯⣟⣷⣻⣞⣷⣻⠇⢀⣀⠀⠀⢸⣿⣷⢯⣿⠀⠀⠀⠙⠲⢅⡈⠄⣈⠐⡀⠂⠌⡐⠠⢁⠂⠌⠠⠡⠈⢄⠡⠌⡐⠠⢁⠂⠡⢁⠂⠌⡐⢠⣈⠼⢀⣰⠖⠁⠀⠀⠀⠀⠀⠀⠰⠳⡄⠘⡇⠠⠉⠳⢶⣾⣷⣬⣤⡼⠋⠀⠀⠀⠄⢀⡶⠋⠌⡠⢁⠒⡀⠆⣼⣿⣿⣿⠁⢰⠁⡜⠀⢿⣯⣿⢥⣌⡁⠃⠌⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣞⣷⣻⣞⡷⣿⠀⠈⠀⠙⢆⡀⣿⠘⣿⣻⡄⠀⠀⠀⠀⠀⠈⠓⠲⢤⣀⠃⡐⠠⢁⠂⠌⡐⢁⠂⡉⠄⢂⠐⠠⢁⠂⠌⡐⣠⡬⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠒⠛⢤⠁⠂⠄⡈⠑⠒⢫⠛⢋⠓⡒⠶⠚⠡⠠⢁⠒⡀⠂⠔⡀⢢⣿⣿⣿⠃⣠⣿⡶⠃⠀⠈⢿⣿⠀⠈⠙⠓⠮⢄⣀⡃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣾⣳⣟⡾⣽⡇⠀⡇⠀⠀⠀⡷⣽⠀⢻⡽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⠬⣔⣀⣂⣐⣠⣈⣄⣨⠴⠤⠞⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠙⠮⣐⠠⢁⠊⠄⠂⠄⢊⠐⠠⢁⠂⣁⠢⠐⠠⢉⠐⡀⣿⣿⣿⣷⣴⣿⣿⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣟⡾⣽⣻⠇⢰⠀⠀⠀⣸⠁⢸⢇⠈⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠑⠦⣌⠠⠁⢌⠠⠌⡐⠂⠌⠠⢀⠡⢁⠂⡐⢰⣿⣿⣿⡟⠀⣿⠃⠀⠀⠀⠀⠀⠈⠿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣻⣟⣷⣻⡁⠸⡀⠀⠀⠏⠀⠀⠈⣆⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠤⣆⣐⠠⠁⠌⣐⣂⣰⠤⠖⠚⣽⣿⢿⣿⠥⠄⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣿⣾⡽⡇⠀⠡⡀⠀⠀⠀⠀⢠⠋⠂⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢠⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⢰⣿⣿⡾⣿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢹⣟⣷⡀⠀⠈⢦⡀⠀⠀⠹⣀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⢧⣿⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⢿⡽⣿⣆⠀⠀⠙⢄⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣠⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⠀⠀⢀⠅⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⢿⣟⣿⣿⣿⡿⣽⢯⣟⡾⣽⢯⣟⣷⣻⢿⣿⣷⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠴⢒⠋⣅⢢⣑⣮⠞⠭⡐⣁⠊⠄⣃⡴⠃⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣾⢿⣯⢟⣾⣻⣾⣿⣿⣿⢿⣽⣻⣞⡿⣽⣻⣞⡷⣯⢿⣽⣿⡿⣿⣄⠀⠀⠀⠀⠒⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠊⠁⠀⠀⡇⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠠⢠⠐⡒⢊⠍⡰⢠⠊⣅⣺⡴⠛⡍⠰⡈⢆⠡⠐⣈⠶⠋⠀⠀⠀⠀⠀⠀ ⣴⣶⣿⣟⣯⣟⣯⣞⡿⣞⣿⣿⣿⣿⣿⣿⣞⡷⣯⣟⡷⣟⣾⡽⣯⣟⡾⣽⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⢿⣦⣄⠀⠀⢀⣷⠐⠬⡑⢌⠢⢍⠢⠍⣌⠱⣈⠆⣃⠣⡜⢰⡉⣦⣱⠶⡛⠭⣁⠆⡓⢨⠑⠌⣄⡧⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣻⢾⡽⣾⣽⣻⡽⣿⣿⣿⣿⣿⣿⣯⣟⡷⣯⢿⣽⢾⡽⣷⢯⡿⣽⢯⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣻⣭⣟⡾⣽⣧⣠⠎⣿⢌⠣⢜⡨⡑⠬⡡⠍⡤⠓⢤⣓⣬⡵⠼⢖⠛⡩⢄⠣⡘⠰⡀⠎⡐⣡⡾⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⢯⡿⣽⣳⢯⣷⣻⡽⣿⣿⣿⣿⣿⣿⣿⡽⣯⢿⣞⣯⢿⡽⣯⢿⣽⣻⢾⣽⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠢⢄⡀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣷⣻⢾⣽⣳⢯⣿⡞⡸⣧⣽⣦⡵⡼⠷⠾⢓⠞⡛⡋⢍⠒⡌⡑⢊⡔⢡⠊⡔⢁⣃⣬⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣻⢯⣟⣷⣻⣟⣾⣳⢿⣳⢿⣿⣿⣿⣿⣿⣿⣽⣻⢾⡽⣯⢿⣽⣻⢾⣽⣻⢾⣽⣻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣽⣿⣿⣿⣿⣿⣿⣿⡷⣯⣟⡾⣽⣻⣞⣿⡑⢲⠰⡐⠆⡅⡓⠌⣅⠊⡔⢡⠊⡔⢨⡐⢡⣂⣥⠾⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢯⣟⡿⣞⣷⣻⣞⣷⣻⢯⣟⡿⣞⣿⣿⣿⣿⣿⣿⣯⡿⣽⢯⣟⣾⣽⣻⢾⣽⣻⣞⣷⣻⣟⣿⣿⣦⡀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣽⣳⢯⣟⣷⣻⣾⡟⡱⢃⠇⣍⠢⡑⢌⠱⣀⢣⣘⣠⠧⠼⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣻⢾⣽⣻⣞⣷⣻⢾⣽⣻⣞⡿⣽⣞⡿⣿⣿⣿⣿⣿⣿⣽⣯⣟⣾⣳⢯⡿⣞⣷⣻⣞⣷⣻⢾⣽⣻⣷⣆⡀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣳⢯⣟⡿⣞⣷⣻⣾⣯⠵⠭⠞⠴⠓⠚⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣽⣻⣞⣷⣻⢾⣽⣻⣞⡷⣯⣟⡷⣯⣟⣷⣻⣿⣿⣿⣿⣿⣾⣽⢾⣽⣻⣽⣻⣞⣷⣻⢾⣽⣻⣞⣷⣻⣞⡿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⢷⣻⣟⡾⣽⣻⣞⣷⣿⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣞⣷⣻⢾⣽⣻⣞⡷⣯⣟⡷⣯⣟⣷⣻⣞⡷⣯⢿⣿⣿⣿⣿⣿⣿⣞⡷⣯⢷⣻⢾⣽⣻⣞⣷⣻⣞⡷⣯⢿⡽⣿⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⣽⢯⡷⣯⢿⣽⣳⣿⣾⣟⣯⣟⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣞⡷⣯⢿⣞⡷⣯⣟⡷⣯⣟⣷⣻⣞⡷⣯⢿⣽⣻⣞⣿⣿⣿⣿⣿⣿⣿⣽⣻⣽⣻⣞⣷⣻⣞⡷⣯⢿⡽⣯⣟⣾⣻⢾⡽⣷⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⣯⢿⡽⣯⢿⣽⣻⣞⣷⣿⣿⣻⢾⡽⣞⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢾⡽⣯⣟⣾⣻⢷⣯⣟⣷⣻⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⡽⣿⣿⣿⣿⣿⣿⣷⣯⣷⣻⣞⡷⣯⢿⡽⣯⣟⣷⣻⢾⡽⣯⣟⡾⣯⢿⣽⣻⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣯⣿⣽⢯⡿⣽⣻⣞⣷⣻⣾⣿⡿⣽⢯⡿⣽⣞⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢯⣟⡷⣯⣷⣻⣟⡾⣽⣞⡷⣯⢿⣽⣻⣞⣷⣻⢾⡽⣯⣟⡷⣯⢿⣿⣿⣿⣿⣿⣿⣷⣯⢿⡽⣯⣟⣷⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⣞⡷⣯⣞⡷⣯⣟⡿⣶⢶⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣷⣿⣻⣿⡽⣯⢿⣽⣳⣟⡾⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣻⢾⡽⣷⢯⡷⣯⣟⡷⣯⢿⣽⣻⣞⣷⣻⢾⡽⣯⣟⡷⣯⢿⣽⣻⢾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣳⣟⡾⣽⢯⣟⡷⣯⢿⣽⣻⣞⡷⣯⣟⡷⣯⣟⡷⣯⢿⣽⣻⢾⡽⣯⣟⣿⣻⣟⡿⣿⢿⡿⣿⢿⣿⣿⣿⣿⣟⣯⣷⣿⡿⣯⢿⣽⣻⣞⡷⣯⢿⣽⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡿⣟⡿⣻⢟⡿⣻⢟⡿⣛⢿⣛⢯⣟⣻⣛⣟⡻⣟⢿⡻⣟⢿⡻⣟⡻⣟⡿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣻⣵⣻⢮⢷⣯⢻⣞⢧⣟⢾⣹⢧⣟⣳⢾⣱⣏⠾⣝⡾⣳⣟⣮⢷⣛⡷⣟⡾⣝⣧⢿⣹⣿⣿⠖⠀⠠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣟⣻⣶⣿⠷⣯⣟⣮⢷⣛⣮⢟⣮⣛⡾⣏⡾⣵⣻⣜⣞⣻⡝⣞⢷⣿⣜⢯⣷⣻⣽⣿⣽⣛⣮⣽⢿⣿⠃⢀⣤⣿⣛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢷⣿⣿⢿⣭⣿⣟⢻⣾⡿⣝⢮⣛⡶⣽⡳⣝⣾⠱⣧⣻⣾⣷⡻⣜⠯⢾⣿⣎⠿⣿⣿⡍⠉⡉⠛⠻⣿⣿⣿⣯⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣏⣿⣟⣾⡟⣯⣛⣬⣿⢯⡳⣭⢷⣫⣿⣷⡝⣺⣜⡓⢦⢻⣿⣿⣳⢭⡛⣬⢻⣿⣜⡳⣟⣿⣧⡌⠀⠘⠛⢿⣿⣿⣶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⠿⣿⡿⣷⣤⣠⣾⣿⣿⣾⢿⣿⣿⢃⡷⣟⣾⢯⡳⣽⢣⣟⣷⣿⣿⡸⣕⣾⡿⣜⢮⣽⣿⣿⣧⡙⣾⣭⣿⣷⢯⡽⣻⣿⣿⣶⣦⣀⠈⢿⣾⢽⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣧⣀⣠⣿⣿⣏⣿⣿⠟⣸⠏⣼⣿⣛⡮⣿⣿⣟⡧⢿⣽⣻⣾⣿⣿⣿⣿⣾⣿⡿⣽⣾⣿⠿⣿⣿⣿⢶⣹⣿⣿⣿⣳⢻⣿⢿⣷⡈⠋⠿⣿⣿⣮⣛⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⡿⣏⣷⣹⣿⣿⡿⣼⢻⣾⣿⣿⡇⣿⣿⣿⣿⣿⣿⣽⣿⠇⠠⢿⣿⣿⣿⣷⣿⠹⣿⣿⣽⣿⣮⢿⣿⡄⡄⠸⢿⣧⢟⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⢿⣿⣿⣿⠋⢹⣿⣿⣿⣳⣮⣿⣿⣿⣿⣳⢿⣼⣿⡟⠀⣿⣿⡿⣿⣿⣿⣾⣿⠀⠀⠘⣿⡿⣿⣿⡿⠀⢹⣿⣿⣿⣷⣫⡞⣿⣵⡀⢸⣿⣏⡞⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠘⢶⣄⠀⠀⠀⠀⠀⠙⢧⡀⠀⠉⠲⢦⡀⠀⠀⠀⢸⡇⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠒⠀⠄⠸⣿⡌⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢦⣄⠀⠀⠀⠀⠻⣦⠀⠀⠀⠙⠦⠀⠀⠈⣷⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⡁⠐⠈⢀⠀⠙⣷⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⠀⢿⣆⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠐⠀⢄⡁⠠⢀⠈⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣴⣌⠿⢦⣀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⡠⠟⠀⣀⣤⠴⠒⠛⠛⠲⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⣦⣀⠉⢷⣄⠀⠀⠀⠀⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠠⢈⣀⠀⠄⡀⠄⠂⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠉⠻⣦⡹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣶⠿⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠾⢿⣤⡀⠀⢀⣼⠏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠄⢀⠈⠠⠀⠄⠠⠀⠀⣹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠘⣷⣿⡇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠘⠉⠀⠀⠀⠀⠀⣀⣄⣀⣠⣀⣀⣀⣀⣀⣀⠀⠈⠻⣷⣦⣤⣄⣀⣀⣀⣀⣀⣀⣀⠀⡈⠛⠿⠿⣯⣄⣤⣾⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⢀⠂⣹⣷⡿⢷⣄⣠⣵⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⣸⣿⠁⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀
~🏎️🅢🅣🅐🅡🅣☝️ⲉ𝛓ⲧⲓⲙⲁⲧⲓⲟⲛ🔮~
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⢀⣀⣤⠶⣞⣿⠋⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢳⡞⠀⠀⢀⣠⣶⢻⠯⣝⢮⣻⢯⡥⣄⡀⠀⠀⠀⠱⣄⣀⣴⣚⣉⣉⣉⣉⣹⡶⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢳⣥⡟⠀⣠⢶⡟⡽⣎⢯⣛⠾⣯⡝⣮⢳⣭⢛⣦⡀⠀⠀⢹⡮⣕⢫⡵⣩⣮⣵⡋⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣭⣓⢾⣧⠾⣝⢧⡻⣵⢫⣞⡭⣟⢶⣹⣎⠷⣎⠿⡴⣻⡀⠀⠀⢻⣜⣣⢞⡱⢖⣣⢟⣆⠀⠀⠸⡶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣘⣷⢧⣛⢮⣝⡻⣜⢯⣳⢭⡗⣯⢞⡽⣎⣷⢺⣝⢾⣹⣓⢧⣧⠀⠀⠀⠉⠺⣥⢏⡳⢎⡞⣽⡀⠀⠀⢿⢣⡏⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢤⣖⡻⢭⣛⡼⣭⢻⡝⣮⡝⡾⣼⡹⣞⢧⣛⣮⠽⣞⡽⣺⡝⣮⢷⣚⣧⡳⣝⠾⣜⡳⣤⡀⠀⠀⠘⢯⢳⡹⢎⡽⡇⠀⠀⢸⣏⢿⣿⡺⠽⣦⡀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠿⠮⠷⠮⣽⣧⡿⣼⢧⡻⣜⢧⣻⣵⣳⡝⣮⢏⣷⣚⣯⢽⡺⣵⢫⣗⢯⡞⡶⡽⣭⢻⣜⡳⣵⢫⢶⡀⠀⠈⢷⣍⡏⡶⣧⠀⠀⢸⡞⣜⡲⣝⢦⡴⠋⠁⢀⠐⠀⠉⡕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⢀⡴⡾⣝⢮⡳⣝⢮⡳⢯⡞⠁⢠⣟⢾⣱⡻⢶⣹⢎⡷⣫⢗⣻⡼⢧⡻⣝⡧⣏⣷⢎⣷⡙⡞⣧⢻⡄⠀⠸⣎⢷⡉⢿⣄⠀⠸⣟⣬⢓⡮⢧⣛⣦⡀⠀⠦⣀⡠⠃⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⣹⢳⡝⣮⢽⡺⣭⢻⡽⣇⣀⣾⡝⣮⡷⣯⣗⢯⡞⠉⢿⣭⡳⣝⢯⡳⣽⠇⣯⣿⣞⠶⣽⡔⢬⢷⣳⠀⠀⣿⢎⣿⡘⣮⢧⡀⠈⢷⣫⠜⣧⡳⢮⡽⣖⡨⢉⠲⣄⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠴⠊⠉⡝⠉⠙⡓⠦⡀⠀⠀⣠⡟⣮⢳⣭⢳⡝⣮⢳⣝⡞⣧⢻⣜⡳⢧⣻⢼⣟⡻⣜⢯⣇⣠⣼⢷⡹⣯⣷⢻⣼⢹⣳⡿⣿⡽⣶⣯⠘⣧⢻⡄⢀⣟⡞⡼⢧⣻⢮⠽⣆⠀⢻⣭⠘⣯⢗⣣⢟⣷⡈⢆⠘⡆⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠋⠀⠀⠀⡆⠀⠀⡼⠀⠙⢆⣰⢻⠼⣥⣛⠶⣫⢞⡵⣫⢞⣽⣺⢧⢯⡹⣷⢋⣾⡞⣵⣛⢮⣻⡽⣎⢷⣻⣽⣿⢣⡟⣼⣳⡇⠘⣷⢻⠹⣧⢹⢯⡳⣿⣿⡼⣹⢷⣸⠯⣽⡿⠀⢰⡟⡜⣎⣿⣜⡳⢞⣿⡄⢹⢣⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡇⠀⠀⠀⠀⣈⡵⠮⢤⡀⠀⠘⣯⣏⣾⢗⢮⣛⣵⣫⢞⡵⣫⢷⣏⡞⣧⡿⣱⢾⣳⡝⣮⡝⣾⢧⡟⣮⣟⢷⡟⣿⢫⣏⡷⣻⠀⠀⢿⣻⠀⠙⢯⣖⡳⢽⡞⣿⡵⣻⣽⣛⡼⣳⢦⣾⣳⠌⣿⡜⣮⣽⣫⡜⣿⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡏⠀⠀⢀⡞⠡⠐⡐⢂⠙⣦⢰⡿⢿⣞⢋⠉⠀⢰⡏⣿⢞⡝⣾⣣⢟⡏⣴⡟⣾⣱⢯⣷⡝⣿⣸⢟⡶⣯⡟⠀⣿⡝⣾⣱⡟⠀⠀⠘⣿⡃⠀⠙⣶⡍⢿⡇⠘⣷⡽⣿⣧⢻⣥⢻⡼⣯⢏⡷⣯⢵⣚⣿⣾⡹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⡀⠀⢸⡄⠡⠑⡈⠔⡨⣐⣾⠿⣶⠢⢽⠗⠀⢸⡇⣯⣾⢹⡷⣹⢾⢣⡿⣇⣿⡯⣟⣿⡞⣇⣿⣺⢽⡟⠀⠀⣿⡻⣔⣿⠃⠀⠰⠀⢹⡇⠀⠀⠈⣿⠼⡇⠀⠹⣞⣧⢻⡷⣎⢷⣹⣿⢮⡝⣿⣎⡷⣹⣿⠿⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠦⣀⠻⣄⢃⣌⣢⠵⢋⣯⢳⣹⡄⠀⠀⠀⢸⣷⣿⣇⣻⢵⣻⡞⣽⢳⣏⣿⡿⣽⢻⡝⡦⡷⣏⣿⠁⠀⠀⣹⣗⢺⡟⠀⠀⠀⠀⠸⡷⠀⠀⠀⠈⣿⡇⠀⠀⢹⣿⠀⢿⡽⣎⢷⣿⢧⡻⣽⣯⢷⣣⣟⡇⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⡼⣬⠳⣜⡇⢀⣄⠀⠸⣿⣿⣽⣞⢧⣿⣝⢮⣳⢿⢿⡽⡏⠈⡿⣴⢻⣽⠃⠀⠀⠀⢹⣎⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⡀⠀⠀⣿⡄⢈⣿⣎⢿⢻⣿⣱⢻⣯⢿⣗⠾⣿⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣜⢳⢭⣷⢸⣹⣆⣼⣿⣷⡞⣽⢺⣿⣮⢳⣽⡟⢸⣿⠁⠀⢿⡼⣫⠇⠀⠀⠀⠀⢸⢮⣇⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⢻⡏⠉⢹⣏⡟⢀⣷⣏⣻⣯⢟⣿⣯⢻⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣳⡹⣞⠮⣽⡏⠁⠀⠀⢿⣷⢻⡜⣯⢿⣞⢧⣿⠃⢸⡏⠀⠀⠸⣗⡟⠀⣀⣀⣤⣶⢾⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣿⠃⠀⢿⢮⣳⣯⡟⣿⢻⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡳⣽⣯⢞⡵⣻⣄⣤⣤⣾⣿⣧⢟⣽⣻⣟⡾⡟⠀⢸⣁⡠⠤⠴⢿⠟⠛⠉⠉⠀⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⣾⣤⡖⢾⣿⡾⢷⢿⣿⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣱⢿⣟⣮⢳⣻⢿⣽⣛⣾⣷⣿⡞⣷⣻⣿⣽⠃⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢲⡞⣹⣾⡿⠛⢿⣿⡍⠙⠿⣿⢻⣿⡇⢸⢸⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽⣿⣿⣎⡷⣟⣿⣺⡽⣾⡽⣿⣽⣳⣿⡽⣿⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣿⣿⣿⠿⢮⣄⠉⡉⠹⣍⢢⡀⠀⠀⠀⣠⠃⡞⠼⠋⢸⣧⣤⣼⡿⢿⠄⢸⠏⢸⣿⣿⣸⣟⡯⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣽⢸⣷⣻⡼⣟⣾⣳⡟⣷⣻⢿⡷⣭⣿⣽⣻⠀⢀⡠⣤⠖⣫⣿⣿⠟⣿⠁⣀⣿⣻⣷⡀⠙⠇⠠⢁⠘⢦⠉⠉⠉⣉⣀⠸⡅⠠⠀⠈⠻⣷⣻⣧⠞⠀⠂⠌⡘⣿⣷⣟⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢸⣞⡷⣽⣻⢶⡯⣟⡷⢯⣻⣿⣳⣿⠖⠛⢏⠙⡀⢸⠘⢿⣟⠁⠀⢿⣟⢯⣻⡉⣹⠇⠀⠌⡐⠠⠈⡞⢀⠞⠉⠀⠈⠣⡙⢦⡉⠙⠒⠚⠋⣁⣀⢀⠘⢠⡴⣿⢿⣟⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⣟⡾⣳⢯⣷⢻⡽⣽⠟⠓⢻⣿⣇⢀⣠⡼⢄⣇⠘⡇⢀⠉⢃⡀⠈⠛⠿⢷⣿⠥⠶⠈⡐⠠⢁⣼⣁⠎⠀⠀⠀⠀⠀⠈⠉⠛⠒⠧⢬⣐⣀⣉⡤⠞⠁⠀⣯⡏⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⣿⣳⡯⣟⣞⡯⢿⡇⠀⢀⣤⣻⣿⡿⣹⡆⠀⠈⠦⣳⠀⠌⡀⢧⣀⠀⣀⣀⡀⠐⠠⢁⣤⠵⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢠⠂⠀⣿⠁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡶⣿⣽⡺⣽⣻⠀⢰⠟⢲⡿⢿⡿⣗⣧⠀⠀⠀⠈⠙⠒⠲⠤⢤⣉⣁⣀⣤⠵⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⡠⠂⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⡷⣝⣧⢿⡄⠈⠆⢸⡇⠙⡯⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠐⠁⠘⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢻⡽⣎⣟⣧⠀⠘⡀⠁⢸⠀⠀⠘⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠜⢻⣧⣿⣾⢷⣄⠈⠢⣄⣱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠦⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⣗⡤⠊⠁⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠈⡇⠀⠀⠀⠀⠀⠸⡛⠒⠤⡀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠹⡀⠀⠀⢸⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⡇⠀⠀⠀⠀⠈⠀⡇⠀⠀⠀⣇⠀⠀⣸⣿⣿⣶⣄⣀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⡗⢦⠀⠀⢹⠀⠀⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠳⠤⢄⣀⠀⠀⠀⡇⠀⠙⢦⣸⡇⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⢿⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⢠⠗⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⡇⠀⠀⢀⡏⢹⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠠⡇⠀⢀⠎⠀⠀⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠳⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⡞⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⡇⢰⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⣧⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠙⣆⠀⢧⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⢣⡾⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢹⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠈⡇⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠐⠳⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡇ ⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⢿⡇ ⣿⣟⣾⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣧⡀⠀⠀⠙⢿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣟⣯⢿⡇ ⢸⡿⣞⣿⣻⣽⣿⣻⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣯⣷⣿⡿⣽⡿⣿⣦⡀⠀⠀⣿⣿⣟⣯⣷⣿⣿⣟⣿⡽⣞⣯⡇ ⢸⡿⡽⢾⣽⣳⣟⣯⡿⣟⣯⣿⣟⣷⡿⣾⣟⣾⣯⢿⣿⣿⣯⣷⣿⣻⣿⣯⣷⡿⣷⣿⣳⣿⣻⣾⢿⣽⣾⢿⣽⣷⡿⣯⣿⣾⢿⣽⣾⢿⣽⡿⣿⣿⣿⣿⣟⣾⣿⣿⣽⣿⣿⣟⣷⡿⣟⡿⠽⠛⣾⡿⣯⣟⣷⣻⢿⡆⠀⣾⣿⡽⣯⡷⣟⣿⢾⣽⢻⡝⣮⡗ ⠀⣿⡹⢧⣏⢷⡻⢾⣽⣻⡽⣾⡽⣾⣽⣳⢯⣷⣻⣟⣾⣻⣷⣟⡾⣽⣿⣻⢾⡽⣷⢯⣟⡾⣽⢯⡿⣽⢾⣻⣟⣾⣻⡽⣷⣻⢯⣟⡾⣟⣯⣟⣷⣻⣟⣿⣾⣯⣿⡷⣿⣿⣳⣟⡾⣽⣻⢇⣤⣾⣿⢻⣗⣻⢮⣏⢿⡇⠀⣿⢷⣛⡷⣻⡽⣟⣯⢞⡽⣚⠥⣏ ⠀⢸⡝⣲⡙⣮⢝⡯⣖⢯⡽⣖⡻⡵⣞⡭⢿⡜⣧⢻⡜⣷⣻⡾⣝⡳⣿⡽⣫⡽⣫⢟⡾⣹⢏⣯⢽⣫⢟⣧⢻⡞⣵⣻⢳⢯⡻⣞⡽⣛⡾⣹⡞⣧⢟⡾⣹⢟⣿⣿⡟⣧⢟⡾⣹⢗⣯⢻⣭⢳⡭⢷⡺⣝⠾⣜⠯⠀⣸⣯⢳⡝⢾⡱⢏⡿⡜⣭⠲⣍⠚⡧ ⠀⠈⣗⠤⡙⡔⢫⠲⡍⣞⠲⣍⠳⡝⡼⣩⢳⡹⣜⢣⡛⢶⡙⣿⡜⡳⢽⡗⢧⡛⡵⣋⠞⡵⣋⢮⢳⡙⢾⡘⢧⡛⢶⡩⢟⡎⢷⡙⢾⡱⣋⠷⣙⢮⡛⡼⢣⢟⡲⢣⠟⣜⣫⡜⢧⡛⣬⠳⣎⢧⡙⢧⡓⢮⡹⣌⢣⢞⡹⢆⡳⢎⢧⠹⡍⡷⢩⢒⡱⢨⠁⡷ ⠀⠀⢹⡄⠱⡈⠥⢓⡘⠤⢋⡌⢣⡙⡔⢃⠧⡘⢆⢣⡙⠦⡙⠼⣧⢙⢺⡝⢢⡙⠴⣉⠞⣡⠙⣆⠣⡝⢢⠝⢦⡙⢦⡙⢎⡜⢣⡙⢦⠓⣍⢚⡱⢊⠵⣉⠳⣊⠕⣋⠞⡰⢃⠮⡡⢝⡰⢍⠲⡌⡙⠦⡙⠦⠱⢌⠲⢌⠲⢡⠚⡌⠦⡙⡰⡙⢢⠑⡄⠃⠌⡗ ⠀⠀⠀⢧⠀⡁⠒⠠⢈⠢⢁⠘⠄⠒⡈⠆⠢⠑⠌⢂⠘⠤⠑⠌⢹⡆⢸⠁⠆⡘⠰⢀⠎⡀⠣⢄⠣⠌⡡⠊⠔⡈⢆⡘⠤⠘⠤⠑⠢⡉⢄⠣⠌⡡⢂⠅⠣⢄⠩⡐⠌⠱⡈⠆⡑⠢⠐⡌⠒⣈⠑⠢⠑⠌⡱⢈⠒⡈⠔⠡⠘⠠⠑⢠⠁⠇⠠⠡⠄⢁⠂⡭ ⠀⠀⠀⠘⡇⠀⠀⠁⡀⠄⠂⠈⠀⠁⠠⠀⠁⠈⠐⠀⠈⡀⢈⠐⠀⢃⠨⠀⠂⠀⠁⠂⠐⠀⢁⠂⠐⠐⠠⠁⢂⠐⠠⠐⠠⠁⠂⡉⠐⠐⡀⠂⠄⡁⠂⢈⠐⠂⠐⠠⠘⠀⡐⠐⠠⠁⠂⠄⢁⠠⠈⠄⡁⠂⠐⠀⡐⠀⡈⠄⠁⡁⠈⠄⠀⠃⠀⠁⠀⠀⠀⡃ ⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀
ego, attitude,king🕴♟
🦇, 🖤, ✨
2 Suns, Cross in the sky, 2 comets will collide = don’t be afraid After WW3 - the “man of peace” from the East = Antichrist The BOT MDM
😌😪😰
☪︎ ִ ࣪𖤐 𐦍 ☾𖤓𓍢ִ໋🌷͙֒
👻😈👾
star, music, magic⁺˚⋆。°✩₊
⠀⠀⠀⠀⠀⠀⠀⢀⡔⢷⠛⠌⠈⠋⠉⠋⠙⠉⠉⠉⠕⠚⠂⠴⢄⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⣵⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠣⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⢁⠅⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⡆⠀⠀⠀ ⠀⠀⡭⢿⣞⣧⣆⣿⢾⡖⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠒⡄⣕⡄⡄⠀⠀⠀⠀⠑⡆⠀ ⠀⡎⠁⡧⣿⣏⢇⠥⠍⠯⢛⣳⠄⠅⠀⠀⠀⠀⠀⠊⢀⡞⢍⣽⢽⣷⡧⣃⠄⠀⠀⠀⠺⠀ ⢨⢬⠁⠩⢮⡷⡮⣃⡈⡳⠌⣳⡛⠀⠀⠀⠡⠀⠠⠄⠤⡇⡫⢓⠃⢿⣻⣠⠀⠀⠀⠀⠨⠀ ⢃⠁⠀⠀⠙⡿⣏⣷⣗⣗⣛⠏⠂⠀⠀⠠⠈⠀⠀⠂⠄⡙⡽⣷⣦⣿⡿⠂⠁⠀⠀⠀⢈⠀ ⣂⠁⠀⠀⠀⠀⠀⠹⠋⠡⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⢂⠚⠍⠏⠋⠀⠀⠀⠀⠀⠍⡀ ⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠉⠪⡌⢆⢀⠀⠀⠀⠀⠀⠀⠀⠅⠂ ⠘⢿⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠐⠀⠀⠀⠀⠀⠀⠀⠄⠯⠁⠁⠀⠀⠀⠀⠀⠀⠀⢀⠂⠄ ⠀⠨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠊⠄⠅⠤⠃⠅⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠡⠶⠀ ⠀⠀⡼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⡘⠁⠀ ⠀⠀⢈⠝⠆⠀⠀⠀⢀⠀⠰⣔⣭⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠔⡀⠁⠀⠀ ⠀⠀⠀⡏⠺⡀⠀⠠⠀⡠⣗⠃⠐⠉⠮⡋⢄⠀⠀⢶⡈⡟⠀⠈⠃⠠⠁⠐⡅⡕⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⣇⠀⢢⡽⡧⠂⠀⠀⠓⠁⠀⠧⣭⣡⡸⡯⢂⠔⢀⠁⠈⠃⡀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⡻⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⠀⠀⠁⠄⡆⠀⠀⠀⠀⠀⠀
👻🪦💀☠☠︎︎༒︎✞︎⛧🦇⚰️🗡𓆩♡𓆪🕷
"🎃,💀,👻,👻,😈,👾,☠️,🧛‍♀️"
🌿🧿🕉🔮🧘🏾‍♀️🧚🌬️
🧘🏻‍♀️🍃💕✨🧞‍♀️🧞💘🎟🌸🧘🏻‍♀️🧝🏻‍♀️🌛🪐🧚🌙⚡🛸🕯️
👁📺🎧🦋🎶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⡩⡝⣭⠯⣝⢯⢻⡭⢯⡝⣯⢯⣿⠿⠿⠿⠿⣿⣿⣻⣟⡿⣽⣻⢯⣟⡿⣽⣻⢯⣟⡿⢯⣟⡿⣽⣻⢯⣟⡿⣽⣻⢯⣟⡿⣽⣻⢟⣯⣟⣿⢻⣯⣟⡿⣻⣽⣻⡟⣿⢯⣟⣿⢻⣯⣟⡿⣻⢯⣟⣿⢻⣯⣟⣿⢻⣟⡿⣻⣟⣿⣻⢿⡿⣶⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠈⠑⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠲⣜⠶⣣⢖⡞⡼⣭⢻⡝⣯⢟⡽⢯⣻⢽⣫⠿⣝⢯⠻⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠲⣩⠵⣙⢦⡛⡼⣊⣗⢺⢣⣿⠏⠉⡠⠒⠈⢢⡀⠀⠉⠳⣟⣾⣳⢯⣟⡾⣽⣳⢯⣟⡾⣽⣻⢾⣽⣳⢯⣟⡾⣽⣳⢯⣟⡾⣽⣳⢯⣟⡾⣽⣞⢿⣞⣭⣟⡷⣯⢷⣻⣽⣻⠾⣽⣻⣞⣳⢿⣽⣻⢾⡽⣻⣞⡽⣞⡿⣾⣽⣳⣟⣮⣟⣯⣽⣻⣽⣦⡀⠀⠀⠀⠀⡠⠖⠊⠉⠁⠀⠀⠀⠉⠁⠒⠤⣈⠑⠀⠐⠀⠒⠀⠂⠤⠠⠤⢀⣀⠀⠀⠀⠀⠀⠀⠀⢠⡑⢢⠹⢌⠫⠱⣋⠾⣱⢏⢷⣫⡝⡾⣹⢏⡷⣫⡝⣯⢽⡲⣁⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢥⠛⡜⢢⡝⢲⡱⢎⣭⡟⠀⠀⢸⠀⠀⠀⢀⠇⠀⠀⠀⠘⣯⡿⣽⢾⣽⣳⢯⣟⡾⣽⣳⢯⣟⡾⣽⣻⢾⣽⣳⢯⣟⡾⣽⣳⢯⣟⡾⣽⣳⢾⣻⣞⡷⣯⣻⡽⣯⢷⣛⣾⣻⡗⣟⡾⣽⣻⢮⡷⣯⣟⡷⣯⢿⣽⢻⡶⣯⢷⣻⢾⡽⣞⣷⣻⢾⣽⣻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣄⡀⠀⠀⠀⠀⠉⠑⠲⢤⣀⠀⠀⠂⠈⠁⠀⠀⠀⠁⣌⠚⡵⢪⠳⣌⣳⠹⣥⠻⣜⢧⡻⣜⢧⡻⣝⡞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⡝⣌⠣⢜⡡⢚⠤⣿⠀⠀⠀⣀⣷⢦⡖⣟⠶⣄⠀⠀⠀⠸⣿⣽⣞⣷⣯⣟⡾⣽⣳⢯⣿⢾⣽⣳⢯⣟⣾⣽⣻⢾⣽⣳⢯⣟⡾⣽⣳⣯⣟⡷⣻⣞⡷⣯⢷⡯⣿⢽⣞⣷⣻⣽⣛⡷⣯⢿⣽⣳⢯⡿⣽⢾⡽⣯⢿⡽⣏⠿⣯⢿⡽⣞⡿⣿⣾⣽⣻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠈⠙⠶⣄⡰⣀⢆⠲⣌⠳⡌⡝⢲⢩⠳⡜⢦⠛⡴⠋⠜⢊⠵⢉⠎⡱⢍⡞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⡀⠄⡀⢆⠩⠒⣌⠱⢊⣿⠀⠀⣰⢿⡸⢖⡹⣜⣫⡝⣧⠀⠀⠰⡏⠀⠀⠀⠀⣼⠏⠛⠛⣿⣯⣟⡾⣽⣻⢾⢯⡷⣯⣟⡾⣽⣻⢾⡽⣿⡿⣞⣷⣻⠷⣯⣟⡽⣾⡽⢯⣟⡾⣧⣟⡶⣯⢿⡽⣯⢾⣽⣯⡿⣽⣻⢾⡽⣯⢿⡽⣯⡝⣯⡿⣽⣛⣷⣻⣷⢯⣟⡿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠈⠳⣔⠪⡑⣌⠓⡬⢱⡉⢦⠓⡜⠢⢁⢀⠠⢄⡊⡔⢣⠎⡑⢊⡜ ⠄⡀⠄⡀⢀⠀⡀⠄⢂⡁⢂⠰⠠⠑⣂⠱⢈⠆⡱⢈⠌⡱⢀⠣⢡⢺⡄⠀⢿⡲⢭⣋⢷⣩⠶⣍⣿⠀⠀⣼⣦⣄⠀⠀⣼⠏⠀⢀⣾⣟⣮⢷⣻⣗⣯⣟⡿⣽⣳⢯⣿⣳⣟⣯⡿⣷⣻⡽⣾⢽⣻⢷⣫⣟⣷⣻⣟⡾⣽⣳⡟⣾⡽⣯⣟⣽⣻⣞⣷⣻⡷⣯⢿⡽⣞⣻⣽⣳⢿⡵⣻⣷⣻⣞⣷⣻⣆⠙⢿⣽⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠙⣧⠑⠀⠁⠘⠀⠉⠂⡉⢄⠣⢌⠢⢑⠢⡱⣘⠁⠈⠁⠀⠀ ⡘⠄⠒⡈⠄⠒⡈⠤⢁⠐⡈⠄⡡⠡⠐⠌⢂⡘⠄⢃⡘⠄⢣⠘⢄⠊⠽⣆⠈⢿⣧⡹⣒⢧⣛⡼⠏⢀⣾⣁⣸⢾⠀⢰⡟⠀⢀⣾⣿⣟⡾⣯⢷⣾⡳⣾⣻⠷⣯⣟⣾⣳⠿⣼⣿⣳⢯⣟⡷⣯⠿⣽⣳⣟⡾⣷⣯⣟⡷⣯⢟⣳⣟⣧⣟⣾⣳⢯⣞⣷⣻⡽⣯⢿⡽⣷⣚⣯⢿⡽⣧⢿⣳⣟⡾⣳⢿⣆⠀⠙⢾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⢀⠐⡌⢢⠉⢆⠢⡑⣊⠱⢄⠂⠀⠀⠀⠀ ⡐⠌⠡⢀⠃⡐⢀⠂⠤⢈⠐⠠⠄⡁⢊⠐⢂⠐⡈⠄⡐⠌⠄⠊⠤⢉⠂⠭⣷⣦⣌⣙⡛⣋⣉⣤⣶⡿⠈⠯⠤⠏⠀⣾⠁⠀⠸⣻⡿⣽⣳⢯⣿⢷⣹⣯⣟⣿⢳⣽⢷⣯⣿⣻⢷⣯⣟⡾⣽⢯⣟⣷⡻⣾⢽⣳⢿⡾⣽⢯⣟⣳⣟⣮⣟⡶⣯⣟⣾⣳⢯⡿⣽⣏⣿⣳⢿⡜⣯⡿⣽⣞⣷⢯⡿⣽⢯⡿⡆⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠰⠐⣈⠒⡈⠤⢉⠢⢡⠑⠤⢋⠴⡉⢎⠱⢩⠄ ⠐⡈⢁⠀⢂⠐⠀⡈⠠⢀⠈⠐⢀⠐⠠⠈⠄⠂⠐⡈⠐⡈⠄⡉⠐⡠⠉⣼⡿⣽⣯⣟⡿⣽⢯⣟⣳⡇⠀⢀⡀⠀⢠⣾⠀⠀⢠⣿⣽⣳⢯⣟⣾⢣⣿⢾⡽⣮⡿⣯⣟⣾⣳⣿⣻⢞⡾⣽⣻⢾⡽⡾⣽⣳⢯⣟⣯⣟⣯⣟⣾⢳⣻⢮⣽⣻⣵⣻⢾⣝⣯⣟⣷⣻⠾⣽⢯⣿⣖⢿⣳⣟⣾⣯⢿⣽⣫⣟⣿⡄⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠁⠀⠀⠀⠀⠀⠁⠀⠉⠀⢃⠐⡈⢄⠊⠔⠈ ⠐⠀⠠⠈⠀⠄⠂⢀⠐⠀⠠⠈⢀⠀⠂⠐⢀⠈⠄⢀⠐⠀⡐⠀⡁⠠⢱⣿⣻⣿⣳⡟⣾⡽⣛⡾⣽⡇⠀⡏⢹⠀⢸⡧⠀⠀⣾⣳⢷⢯⣟⣾⢧⣻⡟⣯⣾⢷⣻⢷⣯⣟⡿⡾⣝⣯⣟⡷⣯⣻⣽⣿⣳⢯⣟⣾⣳⢿⡾⣽⣞⣯⣟⣯⣿⡷⣯⣽⣻⣾⣳⣟⣾⣽⣻⣽⣻⢮⣟⣯⣷⣻⣞⣿⣻⣞⣷⣻⣞⣷⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉⠀⠀ ⠀⠌⠀⠄⠁⡀⠂⠀⠄⠈⢀⠐⠀⠠⠈⠀⠄⠠⠀⠂⠀⠂⠀⠄⠀⡐⣼⣷⡟⣿⣳⡟⣷⣻⣽⣛⡷⣷⠒⠃⠸⠦⢴⣿⠀⢀⣿⡽⣯⣟⡾⣽⠮⣽⣹⣾⡽⣯⣟⡾⣽⢾⣽⣻⣽⣞⣳⣟⣳⢯⡟⣿⣽⣻⢾⣷⣯⣟⣿⣳⡿⣼⣞⡷⣿⣿⡷⣯⢷⣿⣳⢿⣞⣷⣻⣞⣿⣟⣾⣳⢯⣷⣻⣞⣷⣻⣼⣳⣟⡾⣧⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠂⠀⠂⠀⠄⠁⠠⠈⠀⡀⠈⠀⠄⠁⠠⠀⠂⠀⢁⠀⠁⡀⠂⠀⣿⡾⢡⣿⣳⡟⣷⣻⡼⣏⣿⣻⡄⠀⠀⠀⠈⣿⡀⢸⣯⣟⣾⢳⡿⣭⣳⣟⡷⣯⢷⣻⣾⢿⡽⣯⣾⠋⣿⣞⡷⣯⣟⣿⠃⢹⣷⣯⢿⣿⣷⣻⢾⣽⣻⢷⣫⢿⡇⢻⣿⡽⣯⣿⣿⣻⣞⣷⡻⣞⣿⣿⡾⣽⣻⣿⣷⣻⣞⡷⣯⢷⢯⡿⣽⡄⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠐⠀⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠂⠁⠠⠀⠂⠀⠄⠁⠀⡀⠁⠀⠐⠀⠠⠀⠁⠀⡀⠂⠀⢀⢈⣿⠇⢸⣯⢷⣻⣗⣯⣽⣻⢞⣽⣧⡀⠀⠂⠀⠈⣇⣾⢷⣛⡾⣯⢟⣷⡿⣭⣟⡾⣯⣿⣿⢯⣟⣷⠇⠀⢸⣿⡽⣾⣽⣿⠀⠸⣿⣞⣿⡁⣿⣯⣟⡾⣭⢿⣽⣻⠀⠈⢿⣟⣷⣿⢻⣿⣞⣷⣻⡽⡟⢿⣟⣷⣻⣿⣾⣷⢯⡿⣽⢯⡿⣽⢯⣷⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠈⠀⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠐⠀⠀⠐⠀⢀⠠⠀⠀⠀⠁⠀⠐⠀⠀⠈⠀⠀⠀⠄⠀⢠⣿⠀⢸⣯⣟⡷⣞⣳⡽⣞⡿⢾⣽⣻⢿⡿⣶⣶⣿⡿⣯⢿⡽⣽⣻⣿⣽⣳⢯⣟⣷⡿⣟⡿⣾⡏⠀⠀⠀⢿⣟⣧⣿⡿⠀⠀⢻⣿⣾⠀⢸⣷⣯⠿⣽⢯⣞⡿⠀⠀⠘⣿⣾⢿⡀⢿⣟⣾⣳⣟⡏⠘⣿⡾⣽⢿⣷⣻⣯⢿⡽⣯⢿⣽⢯⣿⡀⠀⠀⠀⠀⠘⡏⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠈⠀⠀⠐⠀⠀⠀⠀⠋⠀⢸⣷⣻⢾⣽⣳⢿⣹⣽⣻⣞⣭⢿⣽⣳⠿⣼⣻⣽⣳⡟⣷⣿⣿⡾⣽⣻⣞⡿⢸⡿⣽⡟⠀⠀⠀⠀⠈⣿⣷⣻⡇⠀⠀⠀⢻⣿⠀⠀⢿⣯⡿⣽⣻⢾⡇⠀⠀⠀⠸⣿⣿⡇⠈⢿⣷⣻⢾⣏⠀⢹⣿⣿⠌⣿⣯⣿⣯⢿⡽⣯⡟⣿⣞⣇⠀⠀⠀⠀⠀⢷⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠘⣷⣽⡿⠿⣿⢿⣿⣿⣿⣿⡷⣿⡿⣽⣫⣽⢻⣼⣻⡇⠀⠈⠢⡀⠀⠀⠀⠀⠹⡄⠀⠀⠈⠓⢄⠀⠀⠀⠼⣇⠆⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀ ⠀⠀⠀⡀⠄⠤⢄⣀⣀⣀⠀⠀⠀⠑⠀⣀⠤⠊⠀⠀⠀⣽⣴⡆⠅⡹⣡⣿⣿⣛⡾⣽⣿⣻⣵⡻⣼⣛⡶⣏⣿⠀⠀⠀⠈⠢⡀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠑⢄⠀⠀⠀⠃⣼⡼⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠤⠤⣀⣀⣀⡀⢀⡴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠌⠑⢦⡈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⢧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⡄⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⣾⣿⣿⢻⣞⣽⣻⣿⢷⢯⣶⢻⣳⡽⣳⣛⡾⣇⠀⠀⠀⠀⠈⠢⡀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠟⠿⠀⠀⠀⠀⠀⠀⠀⡠⠤⠒⠑⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡻⠁⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠙⠢⣝⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢤⡀⠀⠀⠀⠀⣽⣿⣿⣿⣻⢞⣿⣺⣷⣿⣿⢯⣟⡾⣏⣷⢻⡵⣯⢽⣻⡄⠀⠀⠀⠀⠀⠈⠢⢀⠀⠘⢄⢰⣷⣄⠀⠀⠀⠈⠐⢄⡀⠀⠀⠀⠀⠀⠀⢀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣠⣴⣾⣿⡿⣯⢷⢯⣟⣾⣿⣿⣿⢯⣟⡾⣽⣻⡼⣯⢷⣫⢯⡽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠈⠂⠩⠻⢷⠀⠀⠀⠀⠀⠈⠒⠤⣀⣀⠴⠊⠁⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⢻⣳⣿⢯⣟⣳⢯⣟⣾⣿⣿⣿⣟⣿⣺⣽⣳⢯⢷⢯⣷⢫⣯⣽⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢠⡆⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣞⣿⡿⣽⣛⡾⣽⣻⢾⣿⣿⣿⣿⡽⣶⣻⢶⣯⡟⣯⢷⣞⣟⡶⣳⢯⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⣀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣝⡷⢯⣻⢷⣯⣿⣿⣿⣿⣷⣻⠷⣯⣟⣶⣻⡽⢯⣞⡾⡽⣽⣳⣻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡴⠋⠀⠀⠀⠀⡇⠀⠀⠀⠀⠘⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⡟⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣛⣯⡟⣷⣿⣿⣿⣿⡿⣾⣽⡻⣗⣿⡺⣗⣿⢻⡾⣽⡽⡶⣏⣷⣻⣿⣆⠈⠠⠀⠀⠀⢀⡠⠔⠊⠉⠀⠉⠉⢩⠟⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢻⣆⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡼⠁⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⡽⡾⣽⣻⣿⣿⣿⣿⣟⣷⣳⢿⡽⣶⣻⡽⣞⣯⣟⣳⡽⢯⣷⡳⣽⣻⣿⣆⠀⢁⡤⠚⠁⠀⠀⢀⣠⠴⢒⡴⠃⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⢙⢳⡄⠈⠢⠀⠀⠀⠀⠀⢸⠀⠀⠀⢽⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣼⠃⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ 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