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⣀⣤⣶⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⠿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣦⡀⠀⠀⢀⣤⣾⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣷⡄ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠋⠈⠙⠻⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣀⣀⣀⣀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠻⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢲⣿⣄⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀ ⠀⠻⣿⣧⡀⠀⢀⣤⣾⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣶⣄⠀⠀ ⠀⠀⠈⠻⣿⣶⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣷⡄ ⠀⠀⢀⣼⣿⠟⠿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⠟⠁ ⠀⣠⣿⡿⠁⠀⠀⠈⠉⠛⠿⣿⣿⣶⣶⣶⣤⣤⣤⣴⣶⣶⣾⣿⠿⠛⠋⠀⠀⠀ ⠰⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣀⣤⣶⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠘⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⠿⠛⠟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣦⡀⠀⠀⢀⣤⣾⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣷⡄ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⡿⠋⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠋⠈⠙⠻⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣀⣀⣀⣀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠻⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⢀⣀⣠⣤⣤⣶⣶⣶⣤⣤⣀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣿⠿⣩⣿⣿⣿⣿⣯⣛⣻⣯⣍⡛⣿⣿⣦⢰⣶⣄⡀⠀⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⡟⢹⣫⡿⠛⣿⣿⣿⠿⣛⣿⣿⣿⣿⠙⣿⣿⣿⣯⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⡟⣰⣶⠈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⣿⡿⣧⣈⠻⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢰⡇⢿⡟⢰⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣷⠈⢿⣧⡀⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠘⣷⢨⣿⠀⠻⢿⣿⣯⣤⣾⢃⣤⣶⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣷⣿⣿⣿⣃⣤⡶⠀ ⠀⠀⠀⠀⣠⣴⣶⣶⣶⣿⡿⢹⣿⣿⠀⣿⣌⠛⠀⣠⣤⣌⡛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⡙⢿⣿⣿⣿⣿⠋⠀⠀ ⠈⠓⠦⢾⠿⠛⠙⠛⠛⢉⣠⣾⣿⡟⠙⣦⡀⠀⡻⣿⣿⣿⣿⠒⠀⣿⠟⠁⣹⣉⠉⣿⣿⣿⣿⣿⣿⣷⠈⣿⣿⣿⡿⣾⠏⠀ ⣀⡤⠤⠦⣴⣴⣶⣶⣶⣿⣿⣿⣿⡇⣰⣿⡟⠀⠳⣦⣄⣉⠛⠀⠀⢿⣿⣿⣿⡻⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣤⡄ ⠁⢀⣀⣠⣤⡽⠟⠿⣿⣿⣿⠿⢋⣴⣿⣿⣿⠀⠀⠻⣷⣉⠉⢛⢷⣦⣝⠿⠿⣯⣭⣸⣿⣿⣿⣇⠻⣿⣿⣿⡿⣋⠁⢸⡿⠁ ⠀⠈⠙⣿⣥⣄⣀⣀⣀⣠⠤⠒⠋⢿⣿⠟⣩⠴⣶⠖⠈⠙⢷⣮⠳⣦⡍⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⢿⣃⡿⠃⣭⣧⣄ ⠀⠀⠒⠉⢿⣿⣿⣿⣿⣿⣶⣤⣄⣈⣉⣹⣵⡾⠋⠻⠿⢶⡆⠉⣡⣈⠁⠀⢮⣉⠙⠻⣅⢸⣿⠿⠋⣠⣴⡿⢋⣵⡖⣿⡉⠉ ⠐⠒⠲⢦⣌⠛⠛⢋⣠⣾⣿⣿⣿⣿⣿⠿⠋⢀⠀⢀⠀⠸⠦⠔⠉⢻⣠⠤⢤⠉⠙⣛⡟⠉⠐⣶⠐⢿⡿⠃⠾⣁⡴⣿⣿⠀ ⠀⠀⠀⠀⣿⣷⣶⣿⣿⠏⢂⣴⣶⠖⠀⠀⠀⠈⢩⠛⠻⢷⣦⡀⠀⠈⠁⠀⢠⡧⠴⠿⠿⡆⢀⣨⡤⣀⣠⣿⣶⣿⡷⢹⣧⠀ ⠀⠀⠀⠀⠙⠻⠿⠟⠋⠂⣾⣿⣧⡀⠀⠀⠀⠀⠈⠳⣤⣀⠈⠛⢷⣤⣀⡀⠉⠀⠀⠀⠀⠸⠋⠀⠀⢸⣿⣿⣿⡏⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠉⠀⠀⠀⢀⣠⣤⠤⠤⠴⢶⣾⣿⣿⣿⡇⠀⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣁⣀⣀⠀⣠⣿⣿⣿⣿⡟⠃⣰⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠈⠉⢀⣴⣿⣿⣿⣿⣿⡇⢰⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⢰⡇⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢻⣿⣿⣀⣀⣤⣶⣿⣷⣶⣦⣌⣧⠀⠀⢠⣿⣀⣠⣾⣿⣿⣿⡿⢋⡩⠟⣿⣿⣇⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⣿⣿⣿⠟⠁⠀⠈⠙⠻⣿⣿⣷⣤⣾⣿⣿⣿⠛⢉⣼⣟⣵⠏⣠⣾⢿⣿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢸⣿⣿⣿⠀⠀⠈⣲⣶⣤⣤⡀⢀⡿⠉⢻⣿⡇⠀⣾⡿⢸⠏⣴⡿⠁⣼⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⠀⠀⢻⣿⡏⠀⣰⡿⠁⠀⣾⣿⣿⢰⣿⠇⢸⣾⡟⠁⣼⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣦⣼⣿⣃⡴⠋⠀⠀⢰⡿⣿⣿⢸⡿⢀⣾⠟⢀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠛⠛⠋⠉⠀⠀⠀⢀⣞⡕⢻⣿⢸⣷⡞⠁⣤⡿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠎⣠⣾⡿⢸⡟⢀⣾⠟⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⣼⣿⡟⢀⣼⠇⣼⡏⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢰⣿⡟⣰⣿⠏⣰⣿⢡⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⡟⣸⣿⡟⢸⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣿⠀⣿⣿⡇⢸⣿⡇⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠘⠻⠧⠉⠉⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⣛⣛⡛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣉⣥⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣍⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣍⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⢋⠰⣾⣿⢿⣿⣿⣿⣿⣿⡿⠿⠟⢛⣛⣛⣛⣛⣛⠛⠿⠿⣿⣿⣿⣿⣿⠟⠻⣿⣦⣈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⢋⣴⣿⡇⢠⣴⡄⣿⡿⢛⣩⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣌⡙⠿⣿⣗⣤⣿⣿⣿⣷⡌⠻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠟⣠⣿⣿⣿⣥⣾⡿⢃⡀⠲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⢠⡙⠻⣿⣿⣿⣿⣿⣦⡙⣿⣿⣿⣿ ⣿⣿⣿⠋⣼⣿⣿⣿⣿⡿⢋⣴⣿⣷⠀⠠⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡩⠂⠀⣾⣿⣷⡌⢻⣿⣿⣿⣿⣷⡌⢿⣿⣿ ⣿⣿⢃⣾⣿⣿⣿⣿⡟⣡⣾⣿⣿⣿⡆⠈⠀⢁⠈⠙⠿⣿⣿⣿⣿⣿⣿⠟⠋⠀⡠⠀⠀⣸⣿⣿⣿⣿⣦⠹⣿⣿⣿⣿⣿⡌⢿⣿ ⣿⠇⣼⣿⣿⣿⣿⡏⣰⣿⣿⣿⣿⣿⣿⡘⣆⢈⡒⢠⡀⠈⠛⢿⡿⢋⠁⣀⡦⣣⡔⣰⢡⣿⣿⣿⣿⣿⣿⣧⡘⣿⣿⣿⣿⣿⡈⣿ ⣿⢰⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣷⠸⣧⠙⣦⡑⠃⢈⠠⡈⠁⠆⣩⣾⠏⣼⠇⣾⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣿⣿⣿⣧⢹ ⡇⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣧⠘⡉⣄⡻⣶⣶⡤⣠⡙⠋⢼⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⡸ ⠃⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠈⡴⢀⣧⡙⣿⡎⢋⣴⡿⣱⡇⠠⠁⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢸⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡿⢋⣵⠾⠃⠀⢺⡇⠻⣮⠻⢸⢫⡾⢋⣿⡆⣘⠳⠮⡙⢿⣿⣿⣿⣿⣿⣜⣿⢸⣿⣿⣿⣿⡇ ⡀⣿⣿⣿⣿⣧⢸⣿⣿⣿⡿⢟⠉⣠⠤⠖⣚⡋⠀⠸⣧⠀⠀⢀⣿⠀⠀⢀⡏⠀⣝⣛⣒⣀⠀⠈⡛⢿⣿⣿⡧⣿⢸⣿⣿⣿⣿⡇ ⡇⣿⣿⢿⢿⣿⡈⣿⠟⠋⠒⠡⠾⠒⢃⣈⣈⣠⣶⡄⠙⣷⡤⣾⣿⢢⣴⢋⢀⣷⣤⣈⣈⣉⢋⠑⢈⠓⠍⠻⡏⡇⣼⠿⠿⣿⣿⢡ ⣷⠸⣷⣤⢰⣿⣇⠠⣤⣤⣬⣭⣭⣭⣭⣭⣭⣭⣭⣥⠀⢨⡅⣭⣭⢨⡅⠈⣬⣭⣭⣭⣭⣭⣭⣭⣭⣥⣤⣥⡤⢠⣿⣦⢀⣿⡟⣸ ⣿⡆⢻⣏⠘⣿⣿⣆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠳⣿⣿⡜⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣿⣼⣿⢃⣿ ⣿⣿⡌⢿⣆⣿⣿⣿⣦⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠉⡏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣾⣿⣿⣿⣿⠃⣼⣿ ⣿⣿⣿⡄⢻⣿⣿⣿⣿⣷⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢲⡶⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⣻⣿⣿⡿⢃⣼⣿⣿ ⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣿⣦⣌⠻⢿⣿⣿⣿⣿⣿⣿⣿⡆⢈⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣴⣾⣿⣿⣿⣿⡟⢡⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⡈⠻⣿⣿⣿⣿⣿⣿⣦⣍⡛⠿⣿⣿⣿⣿⣿⡜⢇⣿⣿⣿⣿⣿⡿⠟⣋⣥⣾⣿⣿⣿⣿⣿⡿⢋⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣶⣌⠻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣭⣉⣛⣃⣘⣛⣉⣩⣭⣴⣶⣿⣿⣿⣿⣿⣿⣿⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣍⣙⠻⠿⢿⣿⣿⣿⣷⣶⣿⣠⣿⣿⣿⣿⠿⠿⣛⣩⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣬⣭⣭⣭⣭⣭⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣷⣶⣶⣦⣤⣶⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⠋⠀⠉⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣟⣻⣿⣿⣿⣿⣛⣛⣛⣛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠋⠉⠁⠀⠁⣀⣤⣴⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⣼⠋⢉⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣁⠀⠀⠀⢀⠀⣹⣿⠿⡿⠉⠙⠹⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠻⠷⣦⣿⠿⣿⣿⣭⣀⣀⣀⠀⢀⣬⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣇⠀⢹⣿⠀⣟⣿⠘⠺⠿⠛⠙⡟⢿⣿⠉⠠⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠘⢿⡇⠹⣿⡆⠀⠀⠀⠀⣷⣿⡇⢸⣿⡷⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣆⠀⣸⣷⠀⠙⣷⣄⠀⠀⢰⣿⡿⠃⠘⣿⣷⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣾⣿⡟⠃⠀⠈⠻⢷⣤⣼⣯⣤⣴⣾⣿⣿⣿⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⡟⠁⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠈⣿⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡾⡟⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡤⠀⢸⣗⣠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠛⢻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⣀⡀⠀⠀⠀⠀⣀⣀⣤⠴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠈⠉⠙⢿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⡉⣭⠛⣻⣿⡿⠟⠋⠁⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠛⠉⠁⠀⡀⣀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⢀⣼⣿⡿⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣲⣿⡟⠛⠉⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠿⠋⠉⠀⠀⠀⠀⢼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠛⠂⠼⠭⠭⠍⠛⠻⠶⠶⠟⠛⡛⠋⠈⠉⠁⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⠾⠋⢹⣿⣆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⠋⠀⠀⣀⣀⣀⠀⠀⢈⣠⡿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⣤⣴⠟⠋⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣤⡀⠀⠈⣙⠻⠿⠟⠁⠀⠈⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⡄⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣦⠿⠉⠁⠀⠀⢀⣀⣀⡴⠋⠀⠀⠐⠗⣲⡶⣦⠀⠀⠀⠀⣤⣀ ⠈⢿⣄⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇⠀⠀⠀⠐⠉⠉⠉⢿⣿⡟⠛⠁⠈⢻⣆⠀⢀⣀⡀⠉⠉⢉⣤⣶⠀⠀⠀⠀⠀⢀⡀⠀⠁⢀⠀⠀⢀
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⠀⠀⣶⣶⣶⣶⡄⢰⣶⣶⣶⣶⣶⣦⠀⢀⣤⣶⣶⣶⣶⣤⣄⠀⣴⣶⣶⣶⡆⣴⣶⣶⣶⡄⢀⣤⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⢿⣿⣿⣿⠀⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣾⣿⣿⣿⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⣼⠿⠿⠿⠇⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿⣿⣤⡿⠿⠿⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣷⣶⣶⠀⢿⣿⣿⣿⣿⣷⣤⡀⠀⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠿⠿⠀⠀⠙⢿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⠀⠉⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⢻⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿⣿⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⢰⣶⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣶⣶⡞⣿⣿⣿⣿⣼⣿⣿⣿⡇⢻⣿⣿⣿⣷⣿⣿⣿⣿⠇⢿⣿⣿⣿⣦⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡿⠟⠁⢸⣿⣿⣿⣿⣿⣿⠇⠙⠿⣿⣿⣿⣿⡿⠟⠁⠀⠛⢿⣿⣿⣿⣿⡿⠋⠀⠈⠻⢿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣤⣈⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣦⡉⠛⠻⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣶⣶⣶⣶⡆⠀⣶⣶⣶⣶⣶⢰⣶⣶⣶⣶⡦⠀⣶⣶⣶⣶⡄⠀⣴⣶⣶⣶⡆⠀⠀⣠⣴⣾⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⠀⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⣿⣠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣇⠀⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉⠉⠉⠉⠀⠀⠉⠉⠉⠉⠁⠀⠀⠈⠉⠛⠛⠛⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠼⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠐⢉⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣶⣶⠀⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡛⡗⠈⠛⠿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣂⡐⠀⠆⠀⡺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢀⠌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⢲⣶⣤⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿ Jesus died for your sins, REPENT.
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣐⡨⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠋⠈⠙⢿⣾⣽⣳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣺⣿⡿⡿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣮⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⣿⣿⡷⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣐⢿⣿⣿⣦⡕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣯⣥⢹⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⠂⣽⣿⣿⣿⣮⡳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡟⢱⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣽⣿⣿⣿⣿⣿⣝⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⠂⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣼⣿⣿⣿⣿⣿⣿⣯⢢⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣩⢹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⣿⣿⣿⣿⣿⣿⣿⣷⣵⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣶⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⡀⠀⠀⠀⠀⣸⣹⣿⣿⡿⣟⣻⣽⣿⣿⠿⣿⠟⠁⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣟⣿⣿⣿⣿⣿⣛⣻⡿⢿⣿⣷⢳⡀⠀⠀⢠⡿⣿⢻⣿⣿⣿⣿⣿⣿⡿⣧⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡾⠛⠛⠀⠀⠚⠉⢻⣿⣿⣿⣿⣿⣿⣿⣟⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠹⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⢰⡶⠒⠒⠠⣶⠘⡟⣿⣿⣿⣿⣿⣿⣒⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣕⡎⠀⠀⠀⠀⢙⣼⢰⣿⣿⣿⣽⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⣿⡿⣿⣿⣿⣿⣿⢿⣿⡟⢦⡤⣤⣖⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠿⠟⠋⠁⠀⠘⢿⣷⣴⣇⣦⣰⣛⡿⠟⠻⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⢠⠤⠞⢻⣶⢆⡈⢉⡒⠒⠒⠒⠒⠒⠒⠒⠚⠉⠀⠀⠀⢸⣿⣆⠀⠀⠘⢿⣯⣋⡶⠋⠁⠀⠀⠀⢹⣿⣿⣿⣿⡟⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠚⢶⡿⠃⠈⠉⠙⠒⠒⠤⠤⠤⠤⠬⣭⣵⣶⡾⠟⠻⢿⢦⡀⠀⠀⠛⠛⠀⠀⠀⠀⣠⣎⠁⠈⢿⡛⠛⠻⡷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡟⠀⠀⠀⠀⡇⠙⠓⠦⠴⠷⠤⠤⠤⠼⣿⠘⢦⡀⠀⣳⣄⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⣇⠀⠀⠀⠀⣼⠲⠂⠀⠀⠀⠀⣽⡦⢤⣇⡠⠶⠋⠉⠀⣨⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⡄⠀⠀⠀⣠⣔⣿⡁⢈⣡⡤⠔⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣧⠐⢆⠀⠐⣿⢷⣭⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡻⣷⣮⡁⠀⠛⣯⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡝⢶⣶⣾⣿⣿⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠹⣿⣿⣿⣿⡙⣿⣿⣿⣶⣿⡃⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠸⣿⣿⣿⣿⠎⠿⡿⠿⢿⣷⣆⣷⣴⣲⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⡿⢿⣿⣟⠿⢷⣦⣿⣯⡷⢿⣿⡻⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⢠⠞⠀⠀⠈⠙⠛⢋⣩⣿⣇⡾⠛⠉⢿⣿⣿⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⡾⣿⠿⣿⣄⠀⠀⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡟⠦⠴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡆⠀⠸⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢀⣧⣤⣤⣄⣀⣀⣀⣤⢔⡾⠟⠉⡇⠀⢀⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⡾⡆⠀⡇⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠐⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢀⡿⠞⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⡏⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠯⠀⣬⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢽⡋⠙⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠷⠒⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡒⠒⢒⠵⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠔⠚⠋⠉⠉⠉⠉⠉⠛⠓⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⣠⣴⠿⣛⣛⠿⣾⢿⣛⡛⠻⢷⣦⡀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⣠⡾⣫⠔⠚⢉⣀⣤⣿⣄⣈⡉⠓⢦⣌⠻⣦⡀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣼⢯⢟⣡⠴⠚⢉⣀⡼⠻⣦⣀⠉⠑⠲⣌⡑⢌⢻⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣸⣷⣣⢚⣠⣴⣾⠿⠛⠁⠀⠈⠻⢿⣷⣦⣤⣉⠢⣻⣿⡄⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡇⠀⠀⢰⣯⣿⠟⣫⠞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠳⡍⠳⢯⣽⣷⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡄⠀⢸⡿⢁⡼⣁⣼⣏⣀⣀⣀⡀⠀⠀⣀⣀⣀⣸⣦⠈⠣⡈⠻⣿⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⣠⡟⣰⣯⢞⣿⣿⣫⣿⣿⣿⣷⡀⣰⣿⣿⣷⣾⣿⣷⣤⡘⢦⣹⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⢸⡿⢁⡞⢠⡇⠉⠻⠿⠛⢿⡇⢹⠈⠙⠛⠋⠀⢹⡿⣝⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⢠⠎⢠⣿⡇⠀⠀⠀⠀⣤⡇⢈⣄⠀⠀⠀⠀⢻⣧⡈⢢⡘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢱⠋⡴⠋⣸⣧⣤⠀⠀⣠⠿⢷⡾⢾⣀⠀⠀⣴⡾⢿⠙⢦⣍⢧⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣣⠞⠀⣰⢻⡏⡏⣧⣼⡥⢿⣿⣿⡦⣌⣷⣰⠁⡇⣼⣷⡄⠈⠳⣝⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⠋⢀⡼⢡⡿⣷⣧⢻⢻⣷⣺⣯⣏⢧⣨⢿⢹⣤⣿⣿⠹⣟⠷⣄⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠏⢠⠎⢠⡞⢠⢿⣿⣾⣼⡇⡟⢻⠘⡾⢻⢸⣿⡟⣿⡏⣦⠈⠳⡈⠳⣄⠘⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⣿⣠⠏⢀⡎⠀⣼⠘⣿⡌⠻⢧⣧⣸⠀⣇⣼⣾⠏⠀⣿⣧⠈⣆⠀⠘⢢⡈⠳⣜⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣾⣿⠀⢸⠀⠀⣿⠀⢹⣿⣄⠀⠉⠻⠶⠟⠋⠁⠀⠀⣿⣿⠀⠘⣇⠀⠀⢿⡀⣸⢿⣦⣀⠀⠀⠀⠀ ⠀⢀⣠⣶⣿⠛⠁⠀⢹⡷⠾⢤⣄⣹⣄⠀⠙⠿⢷⣤⣀⠀⠀⠀⠀⢠⣴⠟⠁⠀⢀⣸⣀⣴⠟⡿⠉⠀⠈⠻⣷⣄⠀⠀ ⣶⡿⠋⠁⢻⡄⠀⠀⠸⡇⠀⠀⢨⣿⠋⠛⠒⠒⠒⠛⠷⣤⣤⣤⣤⡤⠞⠛⠓⠛⢻⡏⠉⠁⢠⡇⠀⠀⢀⣶⠋⠙⣿⣄ ⠻⣧⡀⠀⠈⣿⠀⠀⠀⣇⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣾⠀⠀⢀⡾⠁⠀⢀⣾⠟ ⠀⠹⣷⡀⠀⠘⣧⠀⠀⢻⡀⠀⣾⠈⠙⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢻⡇⠀⢀⡿⠀⠀⡾⠃⠀⣰⣿⠋⠀ ⠀⠀⠘⢿⣖⠀⠹⣇⠀⢸⡇⠀⣿⠀⠀⠀⠀⠉⠙⣛⣶⣶⠶⠶⠶⠚⠛⠉⠁⠀⢸⡇⠀⢸⠃⠀⣼⠃⠀⣰⡿⠁⠀⠀ ⠀⠀⠀⠈⢻⣦⡀⠹⣆⠀⢻⠀⢻⡀⠀⠀⠀⠀⣾⢿⣛⢛⠷⡄⠀⠀⠀⠀⠀⠀⢸⡇⠀⡾⠀⣸⠇⠀⣸⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣷⡄⡿⡆⠸⣆⢸⡇⠀⠀⠀⠈⠿⡾⣿⡼⣦⡝⠀⠀⠀⠀⠀⠀⢸⠃⢸⡇⢠⡏⠀⣼⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣮⣻⣆⣿⣸⣷⠀⠀⠀⠀⣀⣿⠿⠿⠿⣗⣀⡀⠀⠀⠀⠀⣼⠀⡾⢀⡟⢀⣾⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣽⣽⣿⣿⠀⠀⠀⣾⣿⡥⣴⣤⢴⣾⡽⡇⠀⠀⠀⠀⡿⢰⢇⡞⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠉⠻⣄⠀⠉⠉⣠⠟⠁⠀⠀⠀⠀⣇⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣤⣀⣀⣀⣀⣈⣳⣤⣞⣁⣀⣀⣤⣤⣤⣴⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢺⠷⠗⠟⠚⠷⠯⠭⠷⠒⠂⠤⠄⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣌⠀⠀⠀⠀⠀⠀⠀⡤⡄⠀⠀⠀⠀⠀⠀⠉⣱⡆⠀ ⠀⠀⠀⠀⠀⡘⡌⠀⠀⠀⢀⡔⠠⠜⠱⣁⣀⠀⠀⠀⠀⠀⢠⣿⣿⣶ ⠀⠀⠀⠀⠰⡱⠀⠀⠀⠀⠀⠀⢩⠁⠖⠒⠚⠀⠀⠀⠀⠀⣸⣿⣿⡟ ⠀⠀⠀⢠⠃⠁⠀⠀⠀⠀⠀⢀⢇⡜⠀⠀⠀⠀⠀⠀⠀⢠⢳⣿⣿⠁ ⠀⠀⠀⢎⠃⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⠋⠀ ⠀⠀⡘⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣻⣿⡿⠀⠀ ⠀⠰⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣠⣤⣿⣿⣿⠁⠀⠀ ⢠⢣⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠶⣛⣽⣟⡿⣼⣿⣿⡦⠀⠀⠀ ⢸⣾⣤⣤⣦⣤⣤⣤⣴⡾⣿⡻⣟⣿⣿⢽⣿⣿⣷⣿⣿⣿⠀⠀⠀⠀ ⠈⣿⡈⠉⠙⣛⠛⠿⢯⣥⣜⣚⠨⠯⣿⣻⢿⣿⢿⣿⣿⡏⠀⠀⠀⠀ ⠀⠈⠛⠲⠦⣤⣩⣵⠶⣯⢙⣿⣿⣛⣳⠲⠾⣶⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠲⢾⢻⣧⣀⣤⣴⣿⣿⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡿⠋⠁⠙⠛⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣿⣿⣿⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣻⣿⣿⠠⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⢿⣭⠽⠿⣿⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡋⣷⠿⠀⢀⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠶⢺⢦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⠂⢀⢠⡌⢹⠀⢸⠀⠀⣀⣤⡴⠖⠒⠋⠉⠀⠀⠀⢸⡀⠙⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡖⢺⣌⠉⢸⣿⣶⢾⡛⣿⣅⣿⣷⣶⠠⢤⡀⠀⠀⠀⢸⡇⠈⣏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣿⡟⢛⣿⣶⣾⣿⣿⡀⠸⣿⠟⠟⢿⡏⣦⣼⡆⠀⠀⢀⣸⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣾⢿⢹⡏⣉⠉⣻⣿⠈⣿⡶⠰⡷⢻⠏⠀⡇⣼⣴⣿⣿⣷⣶⣿⣿⣿⣿⣦⣿⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⡴⣶⡿⣏⣿⣿⣿⣿⣿⣿⡇⠁⠘⣻⡟⠘⣿⣧⣰⣷⣾⣼⣷⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⢸⡟⣾⣷⣥⣠⣋⠻⢿⣿⡋⣿⢸⣇⣴⣾⡿⢄⢠⡿⣿⣿⣿⣿⣿⣿⠿⡟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡷⡏⠃⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣼⡾⣟⣿⣿⢿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣇⣧⣦⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠀⠀⣸⣇⣹⣿⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠻⣿⣿⣿⠿⠛⠛⠋⠉⠁⠀⠀⠀⣿⠀⠀⣾⣏⠉⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⡷⠾⠛⠙⠓⠾⢦⣼⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣧⣶⣾⣿⣤⣤⠄⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣏⣙⣿⣿⣿⣿⣶⡖⠀⠀⠈⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣭⠟⠛⠿⣯⡈⢻⣿⣿⣧⡀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣦⣀⣏⣦⢹⣿⣿⣿⣿⡯⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣏⠀⢉⣽⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡿⡿⠿⣿⣿⣿⣿⢿⣿⣯⣳⡀⠀⠀⠀⢹⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⣿⣿⠿⣯⣽⣿⠘⣿⣿⣿⣿⣗⠄⠀⠈⠛⠻⣿⡷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⣿⡿⣿⠀⢿⣿⣿⣿⢿⠃⠀⠀⠀⠀⣇⣷⡸⡟⠶⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠈⣾⠏⠀⣿⠀⢸⣿⠏⠙⢾⣄⠀⠀⠀⠀⡿⣿⣇⣧⠀⠀⠉⠳⢤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⢨⠘⠀⠀⣾⠀⢸⣿⣷⣄⣀⠙⢷⣤⣦⣠⡇⣿⡟⢻⠀⠀⠀⠀⠈⢻⠶⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣻⠀⠀⠀⣛⠀⢸⠉⠻⠿⣿⣶⣀⠙⢾⣿⠁⣿⣿⠘⣇⠀⠀⠀⠀⠈⣷⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⢹⡄⢸⠀⠀⠀⠨⣿⣿⣿⣾⣿⠘⣿⣿⠀⠋⠀⠀⠀⠀⠀⠛⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠇⠀⠀⠀⢸⡇⠸⠄⠀⠀⣸⣿⣿⣿⣿⢃⣈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠇⠀⠀⠀⠀⢼⣿⣿⣿⣷⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⢻⣧⣩⣽⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣬⣿⣿⠃⠈⢿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⡽⢃⣀⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⣠⠞⢠⡞⠁⣏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⣀⡞⠁⢀⠔⠁⣰⠏⢀⣤⠁⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡞⠀⣰⠃⢀⠞⠁⣰⠋⣸⣄⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡼⠁⣰⠃⢀⠏⠀⢰⠃⢠⠇⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠜⠁⡰⠃⠀⡜⠀⢠⠇⠀⡜⡀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⡸⢡⠃⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⠃⢀⡞⠁ ⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠳⠄⡜⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⡘⠀⠀⠀ ⣀⣠⣤⣶⣦⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⡰⠁⠀⠀⠀ ⠈⢿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⣴⣿⡄⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⡄⠀⠀⣠⡴⠋⠀⠀⠀⠰⣿⣿⣿⡄⠀⠀ ⠀⠀⠈⣿⣿⣿⣿⣿⣿⣀⠞⣿⣷⡀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣏⠀⢹⣿⣿⣶⣤⣤⣴⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⠿⠟⠉⠀⠀⠀⠙⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣿⠀⠀⢸⣇⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠋⠉⠉⠉⠀⠀⠈⠉⠉⠉⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣿⠀⠀⢸⡏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢰⣟⡇ ⢿⠸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣾⢸⡇ ⢸⡀⢿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢰⡇⢸⠇ ⢸⡇⠸⣆⢀⣀⡀⠀⠀⠀⢿⣤⣤⣼⡇⠀⠀⠀⣀⣀⢀⡾⠁⣸⠀ ⠘⣧⠀⠙⢿⣍⠙⢦⡄⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣹⠟⠁⢀⡿⠀ ⠀⠙⢷⣄⠀⠙⢷⡈⠻⣦⡀⠀⠀⠀⣠⡾⠏⣠⡾⠃⢀⣴⠟⠁⠀ ⠀⠀⠀⠙⢷⡀⠈⠉⠀⠈⢻⡄⠀⣼⠏⠁⠀⠉⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⡇⠀⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⣸⠃⠀⢹⡆⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⡿⠀⠀⠈⣷⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡟⣯⠿⢿⡃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠙⠛⠀⠼⡇⢸⠀⠀⠀⢀⣀⣠⠤⠖⠚⢹⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⡐⠞⢧⣇⣼⣤⣶⣾⣯⣁⡀⠀⠀⠀⢸⡄⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣒⣿⣶⣾⣿⡉⣹⡿⠿⣿⢷⣤⡇⠀⢀⣸⡇⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⣶⣾⣟⣿⣿⡍⢹⣿⣨⣿⠀⣿⣿⣀⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀ ⢰⣶⣿⡿⠹⠿⣿⣿⠿⣿⡇⣀⣼⡏⢈⣿⣾⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠛⢉⣻⣷⣾⣿⣿⣿⣿⣿⢻⣽⣼⢛⣿⣿⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣶⣾⣿⣿⣿⣿⡿⠿⠟⣿⠀⢸⣏⡿⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠛⠛⠉⠉⠁⠀⠀⠀⢀⣿⣄⣼⢧⣄⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣼⣥⣤⣦⣀⡈⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣏⣿⣿⣿⣷⡖⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⡋⢙⡻⣌⣿⣿⣷⡄⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠛⢿⣾⣿⣿⣿⣇⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⡶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠈⣇⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢶⣿⡟⣷⣿⡌⣿⣿⣿⣿⡆⠀⠈⠹⣿⢶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣷⡿⢻⡇⢹⣿⠿⣿⠁⠀⠀⠀⣿⣇⡏⠙⠢⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⡹⠁⠈⡇⢸⣿⣄⡈⠳⣄⣀⣠⣿⣿⢿⠀⠀⠀⠙⣦⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⢸⡃⢸⠙⠻⢿⣦⣈⢻⣿⢸⣿⠸⡆⠀⠀⠀⢸⡄⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⡇⢸⠀⠀⢨⣿⣿⣿⡟⢸⣿⡄⠁⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢠⣷⠈⠀⠀⢸⣿⣿⣿⣴⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⣿⣉⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣾⡿⠁⠈⣿⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡏⠉⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠉⠉⠁⠀⠉⠉⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠒⠒⡆⠀⡖⠒⠚⠀⠀⠀⠀ ⠐⡿⡀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⡜⡇ ⠀⡇⡇⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⢀⠇⡇ ⠀⢧⠘⢴⠲⣄⠀⠉⠉⠁⢀⡴⢲⠞⢰⠃ ⠀⠈⠳⡄⠳⠌⠳⡀⠀⡴⠋⠴⢁⡴⠋⠀ ⠀⠀⠀⢸⠀⠀⠀⡱⢸⠁⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⡞⠀⠀⢀⡇⠀⡇⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠁⠀⠀⠈⠀⠀⠁⠀⠀⠀⠁⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣠⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢣⣀⣠⠤⠇⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠚⠁⠀⠁⠀⠀⢀⣠⠔⠋⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⡶⣄⣀⣀⡤⠊⠀⢠⠤⠲⠶⣖⠐⠢⡇⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀ ⢰⠒⠛⠁⠀⠁⠀⠀⣀⣰⡋⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀ ⠘⡆⢀⣄⣰⠒⠊⠉⠀⢀⣡⢴⣶⠶⠶⠂⠘⠦⠤⠤⡀⠀⠀⠀⣷⠀⡇⠀ ⠀⠉⢯⠀⢉⣠⢤⣤⠀⠛⠚⠉⠀⣀⡄⠀⠀⠀⠀⠀⢹⠀⠀⠀⡿⠀⢣⠀ ⠀⠀⠈⠻⣟⠋⠉⣙⡇⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⣸⡀⠀⢀⡇⠀⢸⡀ ⠀⠀⠀⠀⠈⠳⡋⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣇⠀⢸⣧⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⡟⣄⠈⡇⠀⡠⠂⠀⠀⠀⠀⠀⢠⠏⢀⠾⣄⠸⡸⡆⠀⢱ ⠀⠀⠀⠀⠀⠀⢳⠈⢦⣉⡭⠖⠋⣉⠭⠭⢍⡙⠋⠀⡎⠀⠈⢧⡇⡇⠀⢸ ⠀⠀⠀⠀⠀⠀⠈⣧⢀⡙⠢⣔⢯⣖⣋⡥⠞⠁⠀⠀⡇⠀⠀⢸⡇⡇⠀⡼ ⠀⠀⠀⠀⠀⣀⡴⠃⣸⠁⠀⣸⠳⣄⠀⠀⠀⠀⠀⢠⠃⠀⠠⢞⡞⠁⡸⠃ ⠀⠀⠀⠀⡼⠓⠒⢚⡏⠀⡠⠃⠀⠈⠳⠤⣤⡤⠔⠁⠀⠀⠀⣼⠀⢰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⢼⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢼⠄⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣿⣿⣿⣿⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣍⢤⠄⢀⠀⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⣽⢿⣟⣿⣿⣷⣾⢲⡮⠴⢧⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⢟⣺⡛⢻⣟⣳⡻⡻⡿⢟⠟⡒⠮⣤⡤⠶⠒⠀⠀ ⢀⣄⣀⠀⠀⠀⠀⣰⣿⣷⣟⣷⣮⣙⣒⣬⡭⠵⠶⢔⡩⣎⣉⢲⡥⠤⠤⣀⠠⡀ ⣼⣮⣿⣿⣿⣷⣾⣿⣿⣿⡟⠙⢏⠀⡴⠛⡝⣉⠐⡞⠯⣿⠛⠩⠉⠉⠁⠀⠀⢑ ⣏⣹⢿⣿⣟⣿⣿⣿⡿⢿⣷⣶⠾⠾⣤⣤⡄⠙⠂⣥⣾⣿⢷⣤⠄⠀⠀⠀⠀⢸ ⢧⡛⣟⣿⣿⣿⣿⣿⡏⠀⠘⠧⢤⠴⠃⠻⠃⠀⡞⠃⣿⠳⡄⠉⠂⠀⠀⠀⠀⠘ ⠸⣷⣿⡿⣿⡟⣿⣷⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠸⠀⡱⠒⠒⠒⠠⠄⢀⠄ ⠀⠀⠰⠗⠘⣧⡁⠈⠻⣷⠢⠀⠀⠀⠔⠀⠀⠀⢸⣵⣶⡴⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠻⠄⠀⠉⠢⢄⠀⠐⣤⣤⣄⡠⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡶⠿⠿⠿⠃⠀⡛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣷⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⡿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠂⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⣀⠀⠀⠀⠀⢀⣈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠈⢻⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠸⡇⢰⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡾⠉⠩⡙⠒⠶⠤⢤⣀⣀⡇⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⢠⡟⠀⠀⠀⠹⡢⣀⠒⠠⠤⢤⡷⠚⢦⠬⠭⠉⠉⠉⣉⢽⣋⣉⣉⠭⠽⠛⠛⠋ ⠉⠉⠉⠉⠉⠁⠛⠢⣙⣖⠲⡾⣄⣿⣼⠗⡺⢛⣻⡩⠔⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢷⢨⣿⣦⢰⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢷⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⢃⣱⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡖⢶⢛⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⡶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢣⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢳⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢳⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠩⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠟⠩⡄⠀⠀⠀⡀⠠⠔⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣗⣮⣱⡷⢶⣿⣷⣠⠀⠀⡇⡇⠀⠀⠀ ⠀⢀⣠⣤⣶⣾⣿⠍⡿⣽⣸⣻⣼⣶⣿⣶⡿⠷⠇⠀⠀⠀ ⢸⡿⢓⣯⣿⣿⣿⡾⣧⣾⣿⡟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⠾⠿⠛⠋⠉⣇⢸⡚⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣯⣵⣮⡍⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⡛⡫⣻⣿⡄⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⣿⣏⣽⣿⣿⣧⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣾⡏⣿⡼⣿⣿⠆⠈⢻⣢⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡹⠈⠃⣯⣘⢦⣀⡌⡿⠀⠈⢢⢄⡀ ⠀⠀⠀⠀⠀⠀⠀⣽⠃⠀⡆⡄⠉⣷⣿⢷⣇⠃⠀⠀⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠁⠸⣿⠿⣾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠟⠉⡟⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣿⣯⣿⣿⣿⣯⣽⣿⣛⡒⡶⠶⠤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠟⠉⠛⠉⠉⠁⠉⠈⠉⠙⠉⠉⠉⠉⠀⠀⠉⠉⠑⠒⠲⠦⠤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣯⣿⣤⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⡞⣸⠃⠀⠀⠀⠀⠀⠀⣴⡟⠑⠒⠚⠡⠼⠧⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡼⢡⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢹⠃⢠⠤⠤⢤⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⡽⣿⣿⣿⣿⠟ ⠀⠀⠀⠀⠀⠀⣰⢃⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⣿⣿⣿⡏⠀ ⠀⠀⠀⠀⠀⢠⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣿⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⢀⠏⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⡞⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⣼⢡⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣿⣿⣟⣿⡅⠀⠀⠀ ⠀⠀⢰⠃⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡏⠀⠀⠀⠀ ⠀⢀⠏⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣠⣤⣤⣼⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⡞⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⢿⣿⣿⣿⡿⢡⣿⣿⣿⣏⡭⠇⠀⠀⠀⠀⠀ ⣼⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣾⣿⣋⣥⣾⣿⣿⣭⣾⢋⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀ ⣿⣿⣷⣦⣤⣤⣶⣦⣤⣤⣤⣤⣤⣴⣿⣿⣿⡿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⢹⣿⡟⠛⠻⠿⢿⣿⣿⣿⣿⣿⣛⠻⠿⠬⣥⣏⣡⠚⠽⢻⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣷⡀⠀⠀⠀⠠⣌⣉⠉⠛⠛⠻⣿⣶⣶⣤⣍⣉⣛⠒⠺⠷⢦⣘⣛⣿⣷⣟⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠿⢷⣶⣤⣄⣀⠈⢉⣑⣲⣶⣬⣍⠙⢿⣿⣿⣿⠿⠷⣶⡶⣤⣤⣭⣤⣿⢿⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠷⣶⣿⣭⣟⣻⡉⠓⢾⣻⣿⣿⠷⠒⠦⠀⠀⢨⣿⣿⣟⣿⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⡞⢿⣷⣄⣀⣠⣤⣾⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠈⣿⣿⠛⠛⠯⠿⠿⠿⠿⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡁⢰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢡⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⣦⣼⠋⠁⠙⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⢠⡟⠁⢀⣤⣶⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⢀⡴⠋⠀⣰⠟⠁⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⢀⣴⠟⠁⢀⣼⠏⠀⠀⢸⠟⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠶⣄⣰⠟⠁⠀⠀⣰⠟⠁⠀⣠⡿⠋⠀⣠⣶⣌⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢸⡏⠀⠀⢠⡾⠁⠀⢀⣼⠋⠀⠀⣼⠏⢹⣿⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⢠⡿⠀⠀⢰⡿⠁⠀⣰⡿⠁⠀⢀⣾⠃⠀⣼⠏⢷⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⢀⡿⠁⠀⢠⡟⠁⠀⢰⡟⠀⠀⠀⣾⠃⠀⢠⡟⠀⢸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⢀⡾⠁⠀⢠⡟⠀⠀⢀⡿⠀⠀⠀⣼⠃⠀⠀⣼⠁⠀⠘⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⢠⠞⠀⢀⣠⠟⠁⠀⠀⡼⠁⠀⠀⣸⠏⠀⠀⢰⠇⣀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⣴⠏⠀⠀⢠⡏⢀⡇⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⢀⡿⢀⡾⠀⠀⢀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢁⡾⠀⠀⢠⡾⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠈⠙⠓⠂⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⡀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀ ⢰⣴⣶⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢠⣾⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⢀⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⢀⣠⣾⠛⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⣴⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡾⠋⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⣿⣿⣿⣿⣷⣦⣀⣀⣀⣀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⣰⢶⣤⡴⠟⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠛⣧⡀⢀⣀⣤⣴⠟⠀⠈⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠃⠀⠈⠛⠉⠉⠀⠀⠀⠀⠀⠀⣀⣴⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠋⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣦⣄⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⣀⣤⣤⣶⣶⠒⠒⠲⢦⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣸⡇⠙⠳⡶⠶⠶⠛⠋⠀⠀⠀⣠⡾⠋⠀⠀⠈⠉⠛⢶⣄⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀ ⣴⡟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀ ⠹⣧⡀⠀⠀⠀⠀⢀⣀⣤⡴⠶⠛⠉⠉⠉⠛⠀⠀⣀⣠⣤⣤⣤⣄⣀⠘⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠈⣧⠀⠀⠀ ⠀⢹⡇⢀⣴⢶⣄⣿⠉⠀⠀⠀⠀⠀⠀⣀⣤⠶⢛⣭⠷⠞⠛⠋⠉⠉⠀⠈⠙⠛⠛⠛⠻⣦⡀⠀⠀⠀⠀⠀⣿⠀⠀⢹⠀⠀⠀ ⠀⠈⠙⣿⡅⠀⠈⠉⠀⣀⣠⣤⡀⠀⠘⠿⠶⠞⠋⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⣿⠀⠀⢸⡄⠀⠀ ⠀⠀⠀⠘⢿⣄⣤⣶⣿⣿⡿⠿⢿⡀⠀⠀⠀⢀⣀⣤⣤⠶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⡟⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣏⠉⠀⠀⢀⣘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⠀⣸⡇⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⣴⠾⠛⠁⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡇⠀⠀⢠⣿⣇⠀⠀⠀⢻⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠈⣷⠀⠀⢸⡇⣿⡀⠀⠀⠸⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣧⡀⠀⢹⡆⠀⠀⢀⣴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⢠⣿⣦⠀⠘⣧⠸⣧⠀⠀⠀⢿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠘⢷⡀⠸⣧⣠⡴⠟⣁⣤⡴⠶⠶⠶⣤⣤⣤⣤⣤⡾⠃⠀⢠⡟⠀⠙⢷⣄⢸⡆⣿⡄⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠈⠻⣦⣀⣤⠶⠛⠉⠀⣀⣤⠴⠶⠶⢶⣤⣀⠉⠁⠀⠀⣾⠀⠀⠀⠈⢻⡄⡇⢸⡇⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠈⠻⣧⡀⠠⣴⡞⢉⣴⠶⠛⠃⣠⡾⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⣷⡇⢸⡇⠀⠀⣼⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣶⠀⠀⠙⢳⣮⡛⠿⠷⠶⠾⠛⠋⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢰⣿⢃⣿⠃⠀⢠⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠁⢠⡿⠀⠀⠀⢸⡟⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⢠⡿⢋⣾⠃⠀⢠⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣋⣉⣀⣠⣾⠇⠀⠀⠀⣼⠁⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⢠⣿⠁⠀⢀⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠋⠉⠉⠉⣸⡟⠀⠀⢀⡾⠁⠀⠀⠀⠀⠈⠛⠶⢦⣤⡤⠶⠋⠁⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⣾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀
⠀⢀⡔⠉⣿⠀⠀⠀⠀⠀⠀⣀⠀⣀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⢀⡏⠀⡴⢫⠇⣼⠜⣿⢎⣟⡀⢠⠏⣽⠁⣶ ⠀⠀⠀⠼⠁⠀⠧⠙⠐⠛⠐⠃⢸⠸⠃⠈⠊⠳⠴⠃ ⠀⠀⠀⠀⠀⣰⠒⢀⡀⣰⠂⠢⡄⢴⣉⡨⠀⠀⠀⠀ ⠀⠀⡼⠁⢣⣧⡂⣴⢀⡧⠐⣱⢋⡏⢠⠀⠀⢀⠤⠄ ⠀⠀⠙⠒⠘⠻⡃⠁⠈⠃⠂⠙⠈⠑⠊⠀⣰⠃⠀⡘ ⠀⣀⠀⢰⢋⠇⠀⢀⡖⠉⡆⢀⣀⠀⠀⢀⡟⢀⠔⠁ ⢸⡿⡵⣿⠁⠊⠀⡾⠀⠀⠳⣥⠖⣧⡞⢹⡇⠁⠰⡄ ⠸⠷⠃⣿⠆⠀⢸⡇⠀⡏⢸⡏⢩⠹⣅⠼⡇⠀⢀⠇ ⠀⠀⠀⠀⠀⠀⠘⣇⢀⠇⠈⠓⠁⠀⠀⠀⠓⠤⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢰⠀⠀⠈⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⢸⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⡿⠿⢶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⢸⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠟⠀⠀⠀⣆⠉⠉⠛⠛⠳⠶⠦⣤⣤⣀⣀⣿⠀⢸⡇⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀ ⠀⣰⣿⠇⠀⠀⠀⠀⠸⡷⣄⠀⠠⢄⣀⣀⡀⠀⠈⢉⣽⣶⣾⣧⣄⠘⠛⠻⠿⠿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⠛⠛⣛⣋⣭⣭⠿⠋ ⣠⣿⣏⣀⣀⣀⣀⣀⣀⡙⣌⠙⠢⣄⣀⠈⠉⠉⠛⢻⡟⠁⣀⠘⣿⣟⠛⠛⣋⣁⣀⣀⣀⡠⠔⣫⣮⡤⠴⠶⠒⠚⠋⠉⠉⠁⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠑⢦⣀⠻⣍⠛⠻⡿⣿⣇⢸⢯⡇⣿⠿⠛⣿⠛⠛⣋⠟⣁⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠾⣷⣄⡹⡄⠙⢧⣿⣧⡏⠀⣰⢁⣠⣾⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⡀⢷⠿⠯⣾⢀⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⢸⢀⡆⢳⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡼⡼⢳⡸⡼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢟⣁⡀⠳⣽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢠⣤⡭⠭⠽⠿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡜⡎⠉⢻⡲⢤⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⢸⡇⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠘⣼⠇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⡿⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⣇⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢸⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡘⣇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢽⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡍⠳⣼⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣇⠀⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⡄⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⣿⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⣷⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣤⣄⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⡤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⠉⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⠀⠉⠀⠀⢀⣿⠁⠀⠀⣤⡶⢒⡆⠀⣴⢦⢎⣿⣠⢞⣿⠃⠀⠀⢀⣴⠞⣻⡟⠀⣠⡀ ⠀⠀⠀⠀⠀⣸⡟⠀⠀⣾⠏⢠⣿⠁⣸⣿⠏⢸⣿⠃⣼⠏⢰⡄⠀⣼⡏⣰⣿⠁⠀⣿⠇ ⠀⠀⢀⢀⣴⡿⠁⠀⠀⠻⠴⠛⠻⠼⠙⠋⠀⠾⠃⠀⣿⠀⣸⠃⠀⠈⠋⠉⠿⣄⠴⠋⠀ ⠀⠀⠀⠉⠀⠀⠀⠀⠀⣀⢤⡀⠀⠀⠀⢀⣠⢤⡀⠀⠙⠒⣡⡶⠒⢢⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡀⢀⡾⠁⢀⡇⢠⣄⣠⡟⠁⠀⡇⠻⡉⣹⠯⠤⠤⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⠏⢀⡇⣼⣇⡠⠋⢠⣾⠀⣿⣁⡠⠊⣰⡞⢉⣿⠀⢀⡀⠀⠀⠀⠀⣀⣀⡀⠀ ⠀⠀⠀⣿⠀⠉⡠⣿⣴⣿⠂⣼⡇⡠⣿⠀⠀⡰⣿⢀⠞⣿⠀⢠⡏⠀⠀⢠⡾⠋⠀⢹⠀ ⠀⠀⠀⠈⠉⠉⠀⠉⠸⣇⠔⠁⠀⠀⠈⠉⠉⠀⠀⠀⠀⠈⠛⠉⠀⠀⢠⣿⠁⠀⠀⡼⠀ ⠀⠀⠀⠀⠀⣠⡟⢹⠀⠀⠀⠀⠀⣠⠶⠲⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⡰⠃⠀ ⣠⢤⣤⡀⢠⣿⡠⠏⣀⡀⠀⢀⣾⠋⠀⠀⣸⢀⡤⠒⢤⠀⠀⢀⣤⢤⣿⢀⡠⠞⠁⠀⠀ ⢻⣿⠧⣽⢾⣏⣀⡴⠋⠀⠀⣼⡏⠀⠐⠖⠃⣿⣴⡞⠋⡇⣰⡿⠁⢸⣿⠁⠀⠀⢶⣦⠀ ⢸⡇⣠⠇⢸⡿⡄⠀⠀⠀⢰⣿⠀⠤⣤⠶⠀⣾⡟⠤⢼⠒⣿⠃⠀⣸⣇⠀⠀⠀⢈⡿⠀ ⠈⠛⠉⠀⢸⣷⠃⠀⠀⠀⢸⣿⠀⠀⢸⡄⠀⣿⠀⢀⡎⠀⠹⠦⠜⠹⣿⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⣸⠁⠀⠙⠓⠋⠀⠀⠀⠀⠀⠀⠙⠧⣀⠼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣿⣿⣿⣿⣷⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠇⠀⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⢽⣿⣿⣯⣝⢳⣧⡴⢋⡟⠀⠀⡆⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⣷⣿⣿⡿⣿⣿⣿⣿⣷⣴⣚⡗⢲⣼⣁⣴⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣃⣼⡿⠎⢗⡶⣿⣟⣿⣿⣿⣿⡿⣣⣿⣯⡰⠀⠀⡿⠛⠋⠉⠁⠀⢀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠿⡭⠟⢟⣙⣏⡉⠛⢵⣿⣌⣉⢇⠿⢋⠿⡟⠛⢇⡟⢀⡍⠿⠧⢤⣖⡶⠽⠛⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡑⢶⡿⣍⣁⣐⠊⠻⢶⠤⠽⠟⠋⣙⣀⣩⡤⣶⠞⠉⣠⠾⠿⢇⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⢿⣶⣤⣤⣀⣀⣀⡀⠀⣠⣾⣿⡿⣽⣿⣶⣾⣿⣻⣭⠶⠶⢶⣞⣿⣯⣘⡉⠉⠉⢑⡶⣞⡿⣶⠶⣄⣿⢛⣛⣋⣉⡥⠤⠖⠊⢧⠀ ⣰⢿⣦⣹⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⣯⠀⠀⢠⣾⠟⠹⡝⢀⣈⠉⠛⡗⠻⣄⣸⡟⠛⠺⢭⣉⠀⠀⠀⠀⠀⠀⠀⠈⡆ ⣽⠾⢿⣿⣿⣿⣿⣿⢻⣷⢫⣿⣿⣿⣿⣟⣿⣅⠂⣀⣈⣇⣠⠟⠁⠀⠀⠙⠾⣞⣂⠀⠃⠀⣤⣿⣿⣄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢱ ⣿⢠⣨⡏⠿⢿⣿⡟⣼⣿⣿⣼⣿⢿⡋⢒⣿⣿⡿⣿⠿⠿⠿⠿⢿⣶⣶⡦⠀⠀⠁⣠⣿⣟⣿⠻⠜⢿⡧⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣼⡿⢿⡿⣿⣿⣿⣿⣧⣟⣿⣿⣿⠊⠀⠀⠠⣿⣅⣀⣀⣠⡶⠈⢧⣽⠁⠀⠀⣼⢿⠃⢸⡿⢷⣄⠀⠈⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⣿⡆⣼⣶⣿⣿⡿⣿⣿⣯⣻⠏⣯⡇⠀⠀⠀⠀⠈⠉⠛⠉⠀⠀⠀⠀⠀⠀⠐⣇⣼⠀⠏⣇⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⢻⣻⣿⣿⡟⣻⣿⣿⠙⣿⣙⣿⣿⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡖⠀⠻⠄⠀⣸⠏⠉⠉⠉⠓⠒⠲⠤⣀⣀⡘⠀ ⠀⠀⠁⠀⢸⣿⡄⠸⣻⡖⠟⠉⠙⢿⣷⣿⣤⣀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢸⣟⣣⣤⡄⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠈⠙⠁⠀⣿⣿⣄⡀⠀⠈⠻⣿⣧⠉⠉⠀⠀⠀⠠⠊⠁⠀⠀⠀⠀⠀⢸⣿⣿⢹⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⢻⣾⠀⠀⠀⠈⠛⠦⣀⠀⠀⠀⠳⢤⣤⣤⣀⡀⠀⢀⣾⣿⡿⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⢹⣆⣤⣶⢾⣿⣿⣿⡏⠉⠉⣿⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠿⠛⠛⠛⢻⡟⠁⠀⠘⡃⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣈⣶⣺⣿⢟⡆⠀⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⣾⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣿⣿⣷⣿⣿⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⢻⣿⣿⣿⡓⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢿⣿⣿⡟⠁⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡛⠁⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣿⡅⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⡏⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠟⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠟⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠏⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀ ⠀⠀⠀⠈⠛⠀⠀⠀⣸⣿⠀⠀⠀⠀⣠⣶⠶⢶⠀⠀⣠⣦⣤⠟⣿⡇⣠⠎⣿⡟⠀⠀⠀⠀⣠⣶⠟⢻⣿⡏⠀⢠⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⢠⣾⡟⠁⣴⡿⠀⢰⣿⣧⠏⢰⣿⣳⠃⣼⡿⠀⣀⠀⠀⢰⣿⠏⢀⣿⡿⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⢸⡿⠀⣰⣿⡇⢠⣾⣿⠏⠀⣹⡿⠁⢰⣿⠁⠀⣿⠀⠀⢸⣿⣠⠾⣿⡇⠀⢀⣿⠋ ⠀⠀⠀⠠⣤⣠⣾⠿⠃⠀⠀⠀⠘⠧⠞⠁⠙⠓⠛⠈⠉⠀⠀⠛⠃⠀⢸⣿⠀⣰⠏⠀⠀⠀⠈⠁⠀⠙⠧⠴⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⡀⠀⠀⠀⠀⠀⢀⣤⢤⡀⠀⠀⠛⠖⢋⣤⠖⠒⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⡿⠀⠀⠀⢀⣼⡟⠁⠀⣿⢠⡾⠓⢶⣿⡃⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⠖⢲⡄⢰⡿⠀⠀⡴⠃⢐⡿⠓⣾⡟⠀⠀⣠⠏⢀⣭⣦⣾⡏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠃⢀⡼⠁⣿⡧⠴⠋⠀⢠⣿⠃⠀⣿⠧⠤⠚⠁⣰⡿⠃⢠⣿⠀⠀⢶⣄⠀⠀⠀⠀⠀⣀⡤⠤⣤⠀ ⠀⠀⠀⠀⢸⣿⠀⠉⢀⣴⣿⣷⣿⡿⠀⣸⡟⠀⡴⣿⡀⠀⠀⣰⣿⡇⣠⠟⣿⠀⠀⣸⡏⠀⠀⠀⢀⣾⠟⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠙⠒⠒⠋⠀⠛⢁⣿⠃⣰⠋⠉⠉⠀⠙⠓⠒⠊⠁⠈⠉⠉⠀⠙⠷⠴⠋⠀⠀⠀⢠⣿⠏⠀⠀⠀⢰⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡀⠙⠚⠁⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⣸⠇⠀⠀⠀⠀⠀⣠⣾⠛⠉⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⣠⠞⠀⠀ ⢀⣠⢴⣦⣤⡀⠀⣿⣏⡴⠋⢀⡀⠀⠀⠀⣼⡿⠁⠀⠀⠀⣿⢀⡤⠖⠒⢦⡀⠀⠀⣀⣤⡤⣿⡏⢀⣠⠾⠋⠀⠀⠀ ⠘⢧⣾⣏⣈⣧⣼⣿⠋⠀⣠⠾⠉⠀⠀⣸⣿⠁⠀⠠⣤⠾⠃⣿⢁⣴⡶⠂⡇⠀⣼⡿⠃⢀⣿⡏⠉⠁⠀⠰⣶⣄⠀ ⠀⣾⡿⠁⢸⡇⢻⣿⡖⠊⠁⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠈⣻⣿⠏⠀⢰⣃⣼⣿⠃⠀⢸⣿⡇⠀⠀⠀⠀⢹⣿⠆ ⠀⢿⣇⣠⡟⠀⢸⣿⢹⡀⠀⠀⠀⠀⢸⣿⡇⠘⠓⢿⡋⠉⢀⣿⡏⠉⠉⣽⠉⢸⣿⠀⠀⣼⣿⡇⠀⠀⠀⠀⢠⣿⠀ ⠀⠈⠉⠁⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⢸⡇⠀⠘⣿⡇⠀⣰⠇⠀⠈⠿⠤⠞⠁⢿⣧⠀⠀⠀⠀⣾⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⢸⡇⠀⠀⠙⠷⠞⠃⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠛⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣿⠀⠀⠀⠸⣿⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣀⣀⣀⣀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣿⠁⠀⠀⢸⡏⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⣶ ⣿⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⣿ ⢿⡆⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢸⣿ ⢸⡇⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⢸⡇ ⢸⣧⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⣿⠁ ⠈⣿⠀⠈⢿⣶⡿⠿⣷⣄⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⣠⣾⠿⣿⣴⡿⠁⠀⣿⠀ ⠀⢻⣦⡀⠀⠙⢿⣄⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⣴⡿⠋⠀⢀⣼⡏⠀ ⠀⠀⠙⢿⣦⡀⠀⠻⣷⣄⠈⠻⣶⣀⠀⠀⠀⠀⣠⣾⠿⠅⣠⡾⠋⠀⠀⣤⡿⠋⠀⠀ ⠀⠀⠀⠀⠙⣷⡄⠀⠈⠋⠁⠀⠈⢿⣆⠀⠀⣸⡟⠉⠀⠀⠋⠁⠀⣠⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⡀⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠌⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠈⠉⠒⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠊⠀⠀⢀⣀⣀⣀⣀⠀⠀⠑⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⢠⡶⢙⠨⣭⠕⡊⢗⢄⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⢰⠀⢠⣿⢫⡴⠚⠈⠓⢦⡥⣻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⡸⣑⣵⢧⣤⡀⣠⣤⣎⠪⢻⡸⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡿⡑⡬⠙⠋⡇⠍⠉⢹⡫⡻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣗⢊⡷⣆⣔⣷⣗⣄⠚⣯⠪⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⢣⠪⢹⣯⡗⠿⡷⢣⢾⣏⠓⠨⠳⡀⠀⠀⠀ ⠀⠀⣀⣵⡃⠃⡇⢷⡑⠺⠖⠊⢸⡇⢂⠑⣄⣧⡀⠀⠀ ⣴⠚⡇⠀⡏⠁⡗⠪⠭⠦⠄⠠⠟⠐⡞⠊⡇⠀⡝⢢⡀ ⠙⣆⠘⡀⢡⢰⠑⠤⣀⣀⡀⣀⣀⠤⡇⢰⠁⡜⢠⠞⠀ ⠀⠈⢧⡱⡘⡸⡀⠀⢰⣟⡣⠀⠀⠀⡇⡌⡸⢠⠏⠀⠀ ⠀⠀⠀⠻⣵⣃⡇⠀⣠⣛⣛⣤⠀⠀⣇⡳⣡⠋⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣇⠀⠙⢌⡩⠋⣀⣀⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣃⣀⣀⣀⣸⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⢹⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⣸⡇⡇⣸⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣨⣷⣞⣛⣯⣿⣿⣿⡿⣽⣿⣇⣤⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣤⣾⣿⡿⢿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣧⣠⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣖⣲⣿⣿⠟⣻⣤⣾⣿⡿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢺⣿⣶⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣼⣿⣿⣶⡿⠿⠟⣫⣶⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣶⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⡿⣿⣿⣿⣿⢿⣿⣽⣿⣿⠚⠛⠋⠉⠉⠉⣉⣽⣋⡛⢿⣿⣯⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢶⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⡶⠿⠋⠁⠀⡇⠰⢿⣻⣿⣿⣿⣿⡇⠀⣀⡀⠀⣾⣿⣿⣿⣿⣯⡗⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡀⣿⠀⠉⠛⢷⣦⣀⡀⠀⠀ ⠀⠛⠻⣷⣤⡀⠀⠀⣇⡴⠚⠛⣿⣿⣿⣹⣷⣾⣿⣿⡄⠀⠟⢿⣿⠯⠋⠀⠀⠘⢿⣿⣿⣿⣿⣿⣻⣿⣿⣟⡿⠛⣿⠀⠀⣠⣴⣿⠟⠃⠀⠀ ⠀⠀⠀⠀⠉⠻⢷⣴⣧⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⣿⣻⣿⣿⣿⣶⣶⣿⣶⠿⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⡅⠉⠀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣯⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⡀⠀⠈⠛⡿⣄⣴⣶⣆⣦⣴⣦⣹⣾⣿⣿⣿⣿⢿⣿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢫⣿⣿⣿⣿⣿⡆⣤⣾⣿⣾⠿⠛⢿⣿⣯⣿⣿⣿⣿⡿⢸⣿⣸⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣶⣾⠁⣀⣿⣿⣿⣛⣿⣽⠉⢸⣿⡿⡿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣘⣿⣿⣯⣾⣿⣿⣿⣿⣿⡟⠐⢿⣟⣋⣽⠋⣿⣿⠟⠁⠀⢸⣿⣿⣷⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣤⠶⠶⠒⠛⠉⣉⣩⡥⠿⠿⠽⠽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⣭⣏⣿⠟⠀⠀⣰⠀⢠⣿⣿⣿⠿⠿⠯⠭⠽⣽⣏⡙⠳⠶⠶⠦⣤⣄ ⠀⠉⢧⡀⠀⠀⢸⡿⣄⡀⠀⠀⠀⢠⣿⢹⣿⣿⣿⣿⣿⣿⣷⢿⣳⣾⢟⡟⠁⠀⠀⠀⡟⠀⠈⣿⣿⣿⣧⠀⠀⠀⠀⠀⣸⣿⠀⠀⠠⣄⡾⠁ ⠀⠀⢀⡿⠀⠀⠀⣷⠀⠻⠝⠒⠶⠶⠿⠷⠿⠿⠿⠿⠿⣿⣯⣾⣿⣉⣯⣀⣀⣀⣀⣸⣄⣠⣤⣿⠿⠿⠾⠤⠶⠶⠚⠉⢁⣾⠀⠀⠀⠸⣇⠀ ⠀⢀⡞⠁⢀⣀⣠⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⡀⠀⢹⡄ ⠀⠸⠛⠋⠉⠉⠉⣧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠈⠉⠉⠙⠚⠿ ⠀⠀⠀⠀⠀⠀⠀⠛⠦⣄⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⣀⣀⣤⠾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠶⠶⠶⠦⠶⠶⠶⢶⣶⡶⢶⣾⡶⢶⣶⡶⠶⠶⠶⠶⠶⠶⠚⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⢸⣷⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⢸⣯⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠛⠃⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠉⠉⠉⠁⢙⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣿⣼⣿⣿⣟⣿⣭⣻⣶⣴⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⢇⡌⣣⣾⣿⣿⣾⣿⣷⣸⣿⡷⣝⢿⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⢹⡘⡇⢿⣿⣟⣻⢛⣹⣿⣿⣿⣷⠽⣧⣽⣿⢀⡀⠀ ⠀⢀⠀⣠⣶⣶⡾⢛⣿⣏⠯⢁⣤⣬⣙⠻⣿⠿⣿⣿⣿⣿⣧⡙⣿⣿⣟⡁⠀ ⢀⡀⠭⢥⣤⣤⣶⣿⡿⢸⣷⠰⣭⣙⣃⠘⢷⣶⣶⣼⣿⣿⢿⣷⣿⣿⡟⣅⠀ ⠀⠐⢶⣖⡋⠙⢛⠫⢴⣿⢿⣀⡈⠳⣌⢿⡺⢉⣿⣾⣿⣿⣮⣿⡿⣳⢀⣏⠀ ⠀⣀⣈⠹⣿⠿⢿⣦⣤⣭⣿⠞⠙⢲⣊⡡⡍⠘⠭⣙⡥⢿⡋⣴⣟⡵⢺⡏⠁ ⠀⠀⠈⢳⣶⣾⠏⣩⡿⠋⠀⠀⡒⠶⣄⡀⠉⢉⠧⠶⢦⡀⠥⢉⣶⣶⠏⣇⠀ ⠀⠀⠀⠈⠉⠁⢰⣿⣷⠀⠀⠀⠈⠲⠤⠟⠒⠂⠀⢀⣀⠁⠠⣼⣿⣯⢀⡇⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡜⠣⠤⢠⣾⣿⣿⠉⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⢀⡀⠀⢀⠀⠀⡼⠀⣠⣴⣿⣿⣿⣿⢀⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡾⠛⠛⠿⣾⣦⣰⣷⡾⠟⣿⣯⢊⡽⣿⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⢱⣶⠂⡼⠃⣿⡇⣸⠇⣧⡟⣰⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣶⣼⡯⠞⠁⢠⣿⣷⣿⣰⢏⣴⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣡⡏⣿⢡⡞⣩⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣹⡟⣴⢇⡿⣼⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡟⣾⡏⣿⡇⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠙⠇⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣾⠿⠿⢿⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣴⡦ ⠀⠀⢀⣤⣴⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣷⣦⣄⠀⠀⣠⣾⠟⠁ ⣀⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣾⡿⠋⠀⠀ ⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠿⠻⣷⣄⠀⠀ ⠀⠀⠈⠙⠻⢿⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⠿⠛⠉⠀⠀⠈⢿⣧⡀ ⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢹⡗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠤⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⣀⣠⣤⣄⣠⣤⣤⣄⡀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⣠⢞⡯⠖⢊⣉⣏⡙⠒⠬⣙⠷⣄⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⢀⣾⣿⣩⠔⢊⣩⡼⢳⣌⡉⠒⠬⣑⢜⣧⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡇⠀⠀⣼⣿⣯⢴⣾⠟⠋⠀⠀⠉⠻⢷⣶⠬⣳⣿⣇⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⢠⣿⢋⡔⣡⡏⠀⠀⠀⠀⠀⠀⠀⣏⠳⢌⠻⣿⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣆⣼⣣⡿⣾⣿⣻⣿⣿⣧⠀⣾⣿⣿⣿⣷⣄⡣⣹⣶⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⠟⡰⢡⡇⠉⠛⠋⢻⠀⡇⠉⠉⠁⢸⡟⣝⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⡴⣡⢻⣇⠀⠀⠀⣾⣄⣶⡀⠀⢀⣸⣷⢬⡳⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣟⡔⢁⣼⡏⡟⣄⣮⢷⣿⡦⣝⣦⡌⡏⣿⣆⠙⢾⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠏⢠⠎⡜⣿⣧⣛⣿⣾⣿⣽⣬⢏⣷⣿⣿⠻⡗⢄⠘⢿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⣠⠃⡜⢀⠿⣿⠻⣇⡏⡇⢹⢹⣸⠟⢹⡏⢇⠈⠢⡙⢦⣹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣿⡇⢸⠀⢸⠀⢿⣇⠈⠛⠷⠾⠛⠁⠀⣸⡇⠈⢆⠀⠹⡄⣹⣷⣀⠀⠀⠀⠀ ⠀⣀⣴⣾⡋⠁⠀⡿⠺⠤⣼⣆⡈⠛⠷⣤⡀⠀⠀⠀⢴⣟⠁⣀⣸⣤⠾⣿⠋⠀⠙⣷⣄⡀⠀ ⢸⣟⠁⠈⣧⠀⠀⢷⠀⠀⣾⠋⠉⠉⠉⠉⠓⠒⠒⠒⠚⠉⠉⠉⡏⠀⠀⡏⠀⠀⡼⠁⠙⣷⡄ ⠀⠻⣆⠀⠘⡆⠀⢸⡀⢀⡟⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⡇⠀⢸⠃⠀⡼⠁⢀⣾⠋⠀ ⠀⠀⠙⣷⡀⠹⡄⠈⣇⢸⡇⠀⠀⠉⠙⣲⣶⡖⠒⠒⠒⠋⠁⠀⡇⠀⡾⠀⣸⠁⢠⡿⠁⠀⠀ ⠀⠀⠀⠈⢷⡄⢹⡄⢹⠈⣇⠀⠀⠀⣼⣿⡇⡟⢦⠀⠀⠀⠀⠀⡇⢠⠇⣰⠃⢠⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣾⣻⡌⣧⣿⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⠀⢀⡇⡼⢠⠏⣰⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠀⠀⢰⣿⣥⣴⣤⣾⣿⠀⠀⠀⢸⢣⣧⢏⣴⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡇⠀⠀⠙⢦⡀⢀⡴⠋⠀⠀⠀⢸⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⠶⠶⠶⠿⠿⠶⠶⠖⠒⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⢀⣀⣠⣤⣤⣶⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣿⠿⣩⣿⣿⣿⣿⣯⣛⣻⣯⣍⡛⣿⣿⣦⢰⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⡟⢹⣫⡿⠛⣿⣿⣿⠿⣛⣿⣿⣿⣿⠙⣿⣿⣿⣯⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⡟⣰⣶⠈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⣿⡿⣧⣈⠻⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢰⡇⢿⡟⢰⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣷⠈⢿⣧⡀⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠘⣷⢨⣿⠀⠻⢿⣿⣯⣤⣾⢃⣤⣶⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣷⣿⣿⣿⣃⣤⡶⠀ ⠀⠀⠀⠀⣠⣴⣶⣶⣶⣿⡿⢹⣿⣿⠀⣿⣌⠛⠀⣠⣤⣌⡛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⡙⢿⣿⣿⣿⣿⠋⠀⠀ ⠈⠓⠦⢾⠿⠛⠙⠛⠛⢉⣠⣾⣿⡟⠙⣦⡀⠀⡻⣿⣿⣿⣿⠒⠀⣿⠟⠁⣹⣉⠉⣿⣿⣿⣿⣿⣿⣷⠈⣿⣿⣿⡿⣾⠏⠀ ⣀⡤⠤⠦⣴⣴⣶⣶⣶⣿⣿⣿⣿⡇⣰⣿⡟⠀⠳⣦⣄⣉⠛⠀⠀⢿⣿⣿⣿⡻⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣤⡄ ⠁⢀⣀⣠⣤⡽⠟⠿⣿⣿⣿⠿⢋⣴⣿⣿⣿⠀⠀⠻⣷⣉⠉⢛⢷⣦⣝⠿⠿⣯⣭⣸⣿⣿⣿⣇⠻⣿⣿⣿⡿⣋⠁⢸⡿⠁ ⠀⠈⠙⣿⣥⣄⣀⣀⣀⣠⠤⠒⠋⢿⣿⠟⣩⠴⣶⠖⠈⠙⢷⣮⠳⣦⡍⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⢿⣃⡿⠃⣭⣧⣄ ⠀⠀⠒⠉⢿⣿⣿⣿⣿⣿⣶⣤⣄⣈⣉⣹⣵⡾⠋⠻⠿⢶⡆⠉⣡⣈⠁⠀⢮⣉⠙⠻⣅⢸⣿⠿⠋⣠⣴⡿⢋⣵⡖⣿⡉⠉ ⠐⠒⠲⢦⣌⠛⠛⢋⣠⣾⣿⣿⣿⣿⣿⠿⠋⢀⠀⢀⠀⠸⠦⠔⠉⢻⣠⠤⢤⠉⠙⣛⡟⠉⠐⣶⠐⢿⡿⠃⠾⣁⡴⣿⣿⠀ ⠀⠀⠀⠀⣿⣷⣶⣿⣿⠏⢀⣴⣶⠖⠀⠀⠀⠈⢩⠛⠻⢷⣦⡀⠀⠈⠁⠀⢠⡧⠴⠿⠿⡆⢀⣨⡤⣀⣠⣿⣶⣿⡷⢹⣧⠀ ⠀⠀⠀⠀⠙⠻⠿⠟⠋⠀⣾⣿⣧⡀⠀⠀⠀⠀⠈⠳⣤⣀⠈⠛⢷⣤⣀⡀⠉⠀⠀⠀⠀⠸⠋⠀⠀⢸⣿⣿⣿⡏⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠉⠀⠀⠀⢀⣠⣤⠤⠤⠴⢶⣾⣿⣿⣿⡇⠀⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣁⣀⣀⠀⣠⣿⣿⣿⣿⡟⠃⣰⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠈⠉⢀⣴⣿⣿⣿⣿⣿⡇⢰⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⢰⡇⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣀⣀⣤⣶⣿⣷⣶⣦⣌⣧⠀⠀⢠⣿⣀⣠⣾⣿⣿⣿⡿⢋⡩⠟⣿⣿⣇⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠟⠁⠀⠈⠙⠻⣿⣿⣷⣤⣾⣿⣿⣿⠛⢉⣼⣟⣵⠏⣠⣾⢿⣿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠈⣲⣶⣤⣤⡀⢀⡿⠉⢻⣿⡇⠀⣾⡿⢸⠏⣴⡿⠁⣼⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⠀⠀⢻⣿⡏⠀⣰⡿⠁⠀⣾⣿⣿⢰⣿⠇⢸⣾⡟⠁⣼⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣦⣼⣿⣃⡴⠋⠀⠀⢰⡿⣿⣿⢸⡿⢀⣾⠟⢀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠉⠀⠀⠀⢀⣞⡕⢻⣿⢸⣷⡞⠁⣤⡿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠎⣠⣾⡿⢸⡟⢀⣾⠟⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⣼⣿⡟⢀⣼⠇⣼⡏⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢰⣿⡟⣰⣿⠏⣰⣿⢡⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⡟⣸⣿⡟⢸⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣿⠀⣿⣿⡇⢸⣿⡇⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠘⠻⠧⠉⠉⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⢀⣀⣠⣤⣤⣶⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣿⠿⣩⣿⣿⣿⣿⣯⣛⣻⣯⣍⡛⣿⣿⣦⢰⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⡟⢹⣫⡿⠛⣿⣿⣿⠿⣛⣿⣿⣿⣿⠙⣿⣿⣿⣯⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⡟⣰⣶⠈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⣿⡿⣧⣈⠻⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢰⡇⢿⡟⢰⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣷⠈⢿⣧⡀⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠘⣷⢨⣿⠀⠻⢿⣿⣯⣤⣾⢃⣤⣶⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣷⣿⣿⣿⣃⣤⡶⠀ ⠀⠀⠀⠀⣠⣴⣶⣶⣶⣿⡿⢹⣿⣿⠀⣿⣌⠛⠀⣠⣤⣌⡛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⡙⢿⣿⣿⣿⣿⠋⠀⠀ ⠈⠓⠦⢾⠿⠛⠙⠛⠛⢉⣠⣾⣿⡟⠙⣦⡀⠀⡻⣿⣿⣿⣿⠒⠀⣿⠟⠁⣹⣉⠉⣿⣿⣿⣿⣿⣿⣷⠈⣿⣿⣿⡿⣾⠏⠀ ⣀⡤⠤⠦⣴⣴⣶⣶⣶⣿⣿⣿⣿⡇⣰⣿⡟⠀⠳⣦⣄⣉⠛⠀⠀⢿⣿⣿⣿⡻⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣤⡄ ⠁⢀⣀⣠⣤⡽⠟⠿⣿⣿⣿⠿⢋⣴⣿⣿⣿⠀⠀⠻⣷⣉⠉⢛⢷⣦⣝⠿⠿⣯⣭⣸⣿⣿⣿⣇⠻⣿⣿⣿⡿⣋⠁⢸⡿⠁ ⠀⠈⠙⣿⣥⣄⣀⣀⣀⣠⠤⠒⠋⢿⣿⠟⣩⠴⣶⠖⠈⠙⢷⣮⠳⣦⡍⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⢿⣃⡿⠃⣭⣧⣄ ⠀⠀⠒⠉⢿⣿⣿⣿⣿⣿⣶⣤⣄⣈⣉⣹⣵⡾⠋⠻⠿⢶⡆⠉⣡⣈⠁⠀⢮⣉⠙⠻⣅⢸⣿⠿⠋⣠⣴⡿⢋⣵⡖⣿⡉⠉ ⠐⠒⠲⢦⣌⠛⠛⢋⣠⣾⣿⣿⣿⣿⣿⠿⠋⢀⠀⢀⠀⠸⠦⠔⠉⢻⣠⠤⢤⠉⠙⣛⡟⠉⠐⣶⠐⢿⡿⠃⠾⣁⡴⣿⣿⠀ ⠀⠀⠀⠀⣿⣷⣶⣿⣿⠏⢀⣴⣶⠖⠀⠀⠀⠈⢩⠛⠻⢷⣦⡀⠀⠈⠁⠀⢠⡧⠴⠿⠿⡆⢀⣨⡤⣀⣠⣿⣶⣿⡷⢹⣧⠀ ⠀⠀⠀⠀⠙⠻⠿⠟⠋⠀⣾⣿⣧⡀⠀⠀⠀⠀⠈⠳⣤⣀⠈⠛⢷⣤⣀⡀⠉⠀⠀⠀⠀⠸⠋⠀⠀⢸⣿⣿⣿⡏⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠉⠀⠀⠀⢀⣠⣤⠤⠤⠴⢶⣾⣿⣿⣿⡇⠀⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣁⣀⣀⠀⣠⣿⣿⣿⣿⡟⠃⣰⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠈⠉⢀⣴⣿⣿⣿⣿⣿⡇⢰⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⢰⡇⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣀⣀⣤⣶⣿⣷⣶⣦⣌⣧⠀⠀⢠⣿⣀⣠⣾⣿⣿⣿⡿⢋⡩⠟⣿⣿⣇⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠟⠁⠀⠈⠙⠻⣿⣿⣷⣤⣾⣿⣿⣿⠛⢉⣼⣟⣵⠏⣠⣾⢿⣿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠈⣲⣶⣤⣤⡀⢀⡿⠉⢻⣿⡇⠀⣾⡿⢸⠏⣴⡿⠁⣼⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⠀⠀⢻⣿⡏⠀⣰⡿⠁⠀⣾⣿⣿⢰⣿⠇⢸⣾⡟⠁⣼⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣦⣼⣿⣃⡴⠋⠀⠀⢰⡿⣿⣿⢸⡿⢀⣾⠟⢀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠉⠀⠀⠀⢀⣞⡕⢻⣿⢸⣷⡞⠁⣤⡿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠎⣠⣾⡿⢸⡟⢀⣾⠟⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⣼⣿⡟⢀⣼⠇⣼⡏⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢰⣿⡟⣰⣿⠏⣰⣿⢡⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⡟⣸⣿⡟⢸⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⣿⠀⣿⣿⡇⢸⣿⡇⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠘⠻⠧⠉⠉⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⢄⣀⣀⣤⡤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠟⠁⠀⠀⠈⡿⣼⠁⠀⠀⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠚⠁⠀⠀⠀⠀⠀⡹⠟⠻⣓⠀⠀⠀⠀⠀⠻⢴⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⣀⣤⣤⠴⠚⠁⠀⠀⠀⠀⠈⠑⠀⠀⠀⢄⣈⠲⣧⢛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢟⡺⡱⢎⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡇⡜⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣑⡝⢮⡜⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣧⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡜⣿⢣⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⣿⣠⠆⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠹⣒⢧⣚⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⡴⢻⠀⠀⠂⣉⡭⠸⣿⣋⠀⠀⠀⣈⣿⣯⡿⢿⣷⣶⡄⢠⣏⠶⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢀⡭⠏⠀⠀⠹⠋⠛⠛⠙⠏⠁⠀⠀⡏⠀⠙⠻⠋⠟⠋⠁⠈⣎⠳⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⡜⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡳⣍⢞⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⡻⣜⡹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣧⠳⡜⢮⡱⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠆⡾⡱⣮⣱⡛⠀⠀⠀⠀⠀⠀⠀⠠⣄⡀⣶⣬⡇⠀⠀⠀⠀⠀⠀⢸⢲⡹⣜⢣⡝⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡾⣱⢓⡇⠘⢺⡆⠀⠀⠀⠀⠀⠀⠀⢸⢫⡝⣣⢄⠀⠀⠀⠀⠀⠀⣏⢧⠳⣌⡳⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡱⣣⢏⠶⣄⠀⡾⡄⠀⠀⢀⣴⢻⠷⣯⣳⣜⣱⣎⠗⣤⢄⠀⠀⠀⣏⢎⡳⢥⠳⣭⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣱⠙⣎⠳⣜⡱⣏⢯⠀⠀⣯⠊⠁⠀⢀⣀⣀⣀⠀⠈⠣⣏⠦⠀⢸⡜⢮⡱⣋⠷⡅⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⣫⢰⣍⠳⣎⠵⣪⡝⡇⡀⡏⠀⠀⠐⠉⠀⡈⠁⠀⠀⢀⡼⣙⢧⡚⣜⢣⠳⣍⢞⡱⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⢏⡶⣜⠳⣬⢳⡱⠹⣽⣿⣡⣠⠀⠀⠀⡀⣯⠻⣤⡠⣞⠲⣍⠶⡹⣌⡳⡹⡜⢮⡱⢯⠛⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡟⢮⡱⢎⡳⢬⢣⣳⠀⠉⣧⣟⣻⡀⢠⢸⢫⡕⣫⢖⡹⣌⠗⣎⠳⡕⢮⡱⢣⡝⣲⡙⢮⢆⡆⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠫⢶⡛⢧⢫⡜⣣⢗⡺⠀⠀⠘⠙⣮⢝⡻⢏⡳⣜⡱⢎⡵⢪⡝⣬⢛⡜⣣⢝⡣⢞⡥⣛⢬⣋⣧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡞⡹⢎⡳⣜⡱⡎⠋⠀⠀⠀⠀⠀⠈⠫⠎⠵⠎⡵⢫⡜⣣⠞⡴⢫⣜⡱⢎⡵⣋⠶⣩⠖⡥⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣀⣙⣧⡯⠒⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢑⡏⢶⣩⢓⠧⣎⠵⣋⠶⣩⠞⣥⢛⡼⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡝⠉⢣⡏⡞⣬⢳⡍⡞⣥⠛⣴⢫⡜⢣⡗⣤⢢⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡓⠁⠀⡯⣜⡱⠋⠈⢳⡱⣍⢞⡱⢎⡵⣋⠶⣩⠞⣜⢲⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢸⡵⠋⠀⠀⢀⢧⠳⡜⢮⡱⣋⠶⣩⠞⣥⢛⡬⢣⢏⡞⣵⡚⠶⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⢀⡞⣎⡳⣙⠶⡱⣍⠞⣥⢛⡴⢫⡼⠓⠉⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⢠⡞⡼⠋⡷⣩⠞⠕⢪⣛⢦⡫⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⠞⠁⡰⠗⠋⠀⣰⢯⠜⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⢀⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠛⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡛⢿⡿⣻⢍⠻⡙⡫⢝⡉⠉⠭⠉⠁⢈⠛⡭⠋⣝⢿⣻⢿⡿⢿⡿⢛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢦⡉⠲⢍⠀⠀⠁⠀⠀⠀⠀⠀⠀⠃⠐⠁⠈⠜⢊⠱⠋⠈⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣦⣭⣉⡉⠛⠛⠿⠯⢷⡻⣜⠣⠎⠑⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⡵⣎⡷⣯⢿⣿⠿⠿⠿⠛⠛⠛⣹ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡶⣴⣠⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠀⠁⠈⢁⣀⣤⣤⣶⣶⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣳⢧⢫⠕⠠⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⢠⡐⢮⡝⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣟⠷⡫⠇⠋⠒⠈⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠈⢻⣿⣇⠀⠀⠀⠀⠀⠈⠠⠙⣣⢟⣳⢿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠿⠟⠛⠋⣁⣉⣀⣠⣄⡤⢤⢤⢠⠀⠀⠀⠀⠀⠀⠀⣾⡟⠿⢒⡟⠟⣿⣿⡆⠀⠀⠀⠀⣀⠠⢠⢀⢈⠘⠋⠻⠽⢿⣿⣿⣿⣿⣿ ⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⡾⣽⣏⠞⠢⠁⠀⠀⠀⠀⠀⠀⢽⣷⣤⣾⣿⣾⣿⣿⡇⠀⠄⠁⠤⡠⢏⡳⢯⣟⣿⣻⣷⣶⣦⣬⣍⣩⣛⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢳⣊⣱⢲⣬⢣⡝⡜⠤⠀⡀⢸⣿⣿⣴⣿⣿⣿⣿⣇⠈⢄⠤⢢⢈⠑⢽⢯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣮⣷⣿⣽⣟⣾⣻⣞⣍⣦⡓⡔⣿⠿⠋⠙⠟⡯⠛⠉⠁⠈⠀⣙⣣⣏⡷⣦⣈⠳⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣿⣾⡿⠋⠉⠀⠁⠄⠀⠀⠁⠀⠀⡠⠊⠛⠉⠉⢺⣽⣟⣯⣷⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣭⢉⣿⡟⠀⠠⢄⡀⠀⠀⠀⠀⠀⠀⡐⡂⢁⠀⠀⠀⠀⠻⣾⢻⣿⣻⣿⣿⣜⡻⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⡿⢃⢸⣈⠪⢾⣆⠀⠀⢀⢀⣰⡝⢀⠎⠀⠀⠀⠀⢫⣕⣯⣽⣿⣼⣮⣿⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⣸⢡⣃⢩⣾⡄⡰⢁⡔⣹⢃⠎⠀⠀⣀⣠⣴⣦⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠇⡵⠊⠀⠉⢌⡳⠿⠵⢬⣿⣅⢾⣴⠞⡉⠍⢀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⡿⣲⡘⠀⠀⠀⡠⠓⣆⡮⢱⠐⠀⡘⠙⢏⠩⢎⡄⠇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣟⡿⠿⣏⡔⠀⣠⢞⣀⡤⢻⣷⢜⡦⡤⣻⡤⣞⣤⣾⣿⠚⣾⣿⢯⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣴⣿⡿⠋⢀⣸⡙⢻⢿⣿⣿⣿⣾⣿⣿⣿⣁⣿⣿⣽⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠈⠑⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣧⣄⣤⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣴⣿⣾⣿⣿⣿⣋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⡀⠀ ⣿⢿⣿⣿⣿⣏⡏⠛⠻⠿⢿⣯⣛⢿⡉⠛⣿⣿⣯⣿⣟⣿⣿⣿⡙⢫⡟⠙⢉⢛⢭⠋⢉⡹⠯⠭⠹⣳⣿⣟⣻⣿⣿ ⠛⠛⢻⢺⠟⢻⠛⠓⠢⢤⣈⣋⣉⣉⡛⢛⡛⠚⣿⣿⣿⣿⣿⣿⣿⡏⢩⣿⣪⣌⠭⣍⣈⣠⡴⠾⠿⢿⠿⡿⡿⠫⠾ ⠀⠀⢸⠸⠀⠸⠀⠀⠀⠀⠀⠀⠈⠙⡚⠿⠿⣿⡽⣿⡟⣿⢻⣿⠷⣷⡿⠛⢛⠋⠉⠀⠀⠀⠀⠁⠀⢺⠀⡇⠀⠀⠀ ⠀⠀⠘⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠐⣝⢦⣀⣿⢸⣼⢾⣿⠃⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠘⠀⡏⠉⠀⠀ ⠀⠀⠀⠀⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡒⢴⣿⠾⣘⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢬⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠘⢈⡌⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡞⠫⠤⣠⡴⣯⣿⣧⠀⠀⠀⠀⠀⠀ stop doing porn ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠉⠑⡄⠀⠀⢀⠖⠒⠒⢢⠀⠀⠀⢸⣿⣵⣽⣿⣾⢿⣾⣿⡇⠀⠀⠀⠀⠀ God is watching over us ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠈⡆⢐⠁⠀⠀⠀⠨⠀⠀⠀⢸⣿⡿⣿⣿⣻⡿⣿⣿⣷⠀⠀⠀⠀⠀⠀ he died for us for our sins ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡄⠀⠀⠈⣌⠀⠀⠀⠀⡌⠀⠀⠀⢸⢻⠁⠙⢿⣶⢿⣹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ here’s a chapter that you always should learn ⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⡀⠀⠀⠹⠀⠀⠀⠠⠂⠀⠀⠀⢸⢸⢣⣤⢸⢁⣸⡿⣿⡧⠃⠀⠀⠀⠀⠀⠀⠀⠀ A psalm of praise of David. 1I will exalt you, my God and King, and praise your name forever and ever. 2I will praise you every day; yes, I will praise you forever. 3Great is the Lord! He is most worthy of praise! No one can measure his greatness. 4Let each generation tell its children of your mighty acts; let them proclaim your power. 5I will meditate on your majestic, glorious splendor and your wonderful miracles. 6Your awe-inspiring deeds will be on every tongue; I will proclaim your greatness. 7Everyone will share the story of your wonderful goodness; they will sing with joy about your righteousness. 8The Lord is merciful and compassionate, slow to get angry and filled with unfailing love. 9The Lord is good to everyone. He showers compassion on all his creation. 10All of your works will thank you, Lord, and your faithful followers will praise you. 11They will speak of the glory of your kingdom; they will give examples of your power. 12They will tell about your mighty deeds and about the majesty and glory of your reign. 13For your kingdom is an everlasting kingdom. You rule throughout all generations. The Lord always keeps his promises; he is gracious in all he does.*145:13 As in Dead Sea Scrolls and Greek and Syriac versions; the Masoretic Text lacks the final two lines of this verse. 14The Lord helps the fallen and lifts those bent beneath their loads. 15The eyes of all look to you in hope; you give them their food as they need it. 16When you open your hand, you satisfy the hunger and thirst of every living thing. 17The Lord is righteous in everything he does; he is filled with kindness. 18The Lord is close to all who call on him, yes, to all who call on him in truth. 19He grants the desires of those who fear him; he hears their cries for help and rescues them. 20The Lord protects all those who love him, but he destroys the wicked. 21I will praise the Lord, and may everyone on earth bless his holy name forever and ever. ⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⢐⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⢸⣝⣿⣿⣿⡇⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢂⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⢨⡍⣿⣿⣺⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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