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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣄⠀⢲⣶⡶⠶⡄⠀⢲⣶⣆⠀⠀⢤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣶⠟⠛⢿⣷⣄⢀⢻⣿⡄⢹⣿⠂⢸⣿⣧⣄⠀⠀⢸⡿⣿⣧⡀⣸⡇⠀⠀⠀⠀⠀⢀⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⢻⣿⡄⢸⣿⡇⡛⠁⠀⢸⣿⡏⢉⠀⠀⣾⡇⠙⣿⣷⣿⠀⠀⠀⠀⠀⣠⡿⠹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⢀⣾⡏⠁⠀⢀⡀⠀⠀⠈⣿⣿⣄⠀⠀⣼⡿⠁⢀⣿⣧⠀⠀⠀⠸⠿⠷⠶⠾⠀⠿⠄⠀⠈⠻⣿⠀⠀⠀⠀⣴⠟⠛⠾⣿⡇⠀⠀⠀⠀⢠⣶⡿⠟⠻⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡀⠙⣷⡄⠸⣿⣧⠁⢨⢻⣿⡄⠀⠀⠈⠛⠿⠿⢟⡋⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠠⣿⣿⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠻⣿⣿⣷⣮⣜⣿⡄⠙⢿⣷⣦⡴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢻⣿⡀⠀⠀⠁⢠⣾⡿⠋⠉⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⡄⠀⠹⣧⠉⠛⠿⣿⣿⡄⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠖⡀⢿⣿⠁⠀⠀⢀⣿⣿⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡇⠀⠀⠈⢻⣿⣆⠠⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣀⣠⣾⡿⠃⢀⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣄⢸⣇⡀⠀⠀⠀⠹⣿⡷⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⣰⣿⡿⠁⠐⠀⠀⢀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⠻⣿⣿⡻⢿⣿⣶⡶⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣯⣀⠀⠀⢀⣴⣿⠟⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠘⢿⣿⣦⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠙⢁⣴⣿⡿⠋⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⣰⡄⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⣀⣤⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣤⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣦⣤⣀⠐⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀⢀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣶⣦⣤⣀⡈⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣌⠻⣯⢿⢿⣿⣿⣿⣷⣿⣿⠀⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠿⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣌⢹⡿⠿⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡉⠙⠲⡙⢷⡘⠈⡎⢞⢿⣽⡼⡞⣿⠇⣿⣿⡇⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠈⠀⠀⣸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⢤⣤⡉⠀⠀⠀⠠⠁⠀⠈⠈⠈⠻⢡⡇⠙⠀⠋⠘⠁⣸⢏⢽⡟⡟⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⣂⣠⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⠀⠀⠀⠙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣶⣶⣶⣶⣿⣶⣶⣶⣾⣶⣿⣿⣿⣿⣷⣯⣄⡾⠃⣡⠟⠋⡵⢚⣽⣷⣶⣄⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⣀⣤⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⣤⡙⣿⣶⣶⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠒⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠘⢫⣭⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⠟⠋⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣷⣯⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⢙⣻⢿⣿⣿⣟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣼⣿⢋⣠⣴⠷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⣰⡖⠀⠀⠀⠀⡙⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⢀⡄⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣝⢿⣿⣿⠻⣧⡀⠙⢷⣟⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠟⠋⠀⢀⣠⡀⠀⠀⠀⠀
⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⢠⡿⠀⣾⢏⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡲⣿⣿⣷⣦⡙⢦⡄⠙⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣤⣶⣿⡿⠿⣧⠀⠀⠀⠀
⠀⠀⠀⠀⢿⣿⣦⣤⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⡠⠞⠁⢠⡟⠀⢄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠔⢼⣿⣿⣷⣿⠄⢻⣄⠃⠻⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡟⠋⢹⠆⠀⠛⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⢀⠆⠀⢸⠃⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⢼⣿⣿⠘⣿⣦⠀⡙⢷⡀⢹⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣠⡏⢠⠁⡿⠀⣰⣿⣿⣿⣭⣬⣤⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣋⣙⣭⣭⣼⣿⣿⣿⣿⣿⠂⣤⣿⣿⡆⡈⠻⣧⡙⢦⣻⣦⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣼⢏⠀⠈⠠⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⡿⠋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⡻⡇⠱⡄⢹⣷⡌⢷⣽⣯⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠜⣡⣾⠀⠀⠀⠴⠛⠛⠛⣛⣛⣛⣛⣛⣛⠛⠿⢿⣿⣾⣿⠿⠛⢛⣛⣉⣉⣉⣙⣛⣛⣛⠛⠛⠿⠿⠿⣿⣿⣧⢱⢢⡙⢆⡹⣿⣈⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠐⠁⠀⣠⢞⠏⠀⣴⣶⣾⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣦⢿⣿⠃⣴⣿⠿⠿⠿⠿⠟⠛⠿⠿⠿⠿⠿⠿⣿⣶⣦⠠⣤⣤⣬⣿⣦⢹⣾⣿⣼⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⢠⡾⡱⠕⠅⠸⣧⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠈⣿⣤⣴⣤⣿⡿⡀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠞⣤⠈⣿⣷⢻⡈⠛⣛⣓⣻⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣟⠛⠛⠋⠀⠀⠛⠛⢛⣻⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⡔⠀⠠⢫⢚⡴⠚⠃⠀⢻⣿⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⠟⠛⠛⣿⡇⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣿⢟⣈⣉⡍⡉⠉⠁⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⡦⠀⠀⠀⠀⡖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠀⢰⠃⠀⠐⢰⠏⢠⠆⣠⠆⢸⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⢀⠛⢠⣟⣾⣿⠀⢹⣷⠀⠻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣿⢸⣿⣿⣇⡗⠀⡀⢟⣿⡿⢃⡄⢻⡻⣿⣿⣿⣿⡽⣿⣿⣷⡱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⣡⡶⢦⣀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠃⠼⠁⠀⠸⣿⡄⠀⠀⠀⠀⠂⠢⠢⠂⠊⠃⠀⣠⣾⣿⣿⡄⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⢸⣿⣿⡟⢠⡆⣿⣼⠸⡇⣾⡿⣄⠻⣬⣛⠿⣿⣿⡜⣿⢻⣿⡽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣴⠟⠀⠀⠀⠀⠀⢠⡿⠛⠁⠀⠀⠉⠳⢷⠀⠀⠀⠀⠀⠈⢷⣦⠀⠃⠀⠀⠀⠀⢹⣾⠇⠀⠀⠀⠂⡀⢀⠄⢀⠀⠻⣿⣶⣦⣤⣤⣤⣤⣤⣀⣤⡄⣾⣿⣿⣿⣿⣧⠀⢿⣷⣭⣆⣁⣀⣀⣀⣀⣀⣀⣠⣴⣿⢏⣿⣿⣿⣧⠀⠻⣮⣻⣆⢹⡽⣷⣜⠷⣌⡻⡗⣜⣿⣷⢸⡇⣟⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⠿⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡝⠀⢀⡆⠀⢀⢈⠀⠻⠀⠀⠀⣠⡾⣱⠟⢠⠏⠀⠀⢤⣬⣭⣭⣉⣉⣉⣉⡉⠉⡀⢿⣿⣿⣿⣿⡟⣶⣤⡉⢙⣛⣛⣛⣛⣛⣛⣛⣛⣛⣭⣴⣿⡿⢸⣿⣿⠀⡄⠈⠑⠹⡆⢻⣿⡻⣷⡜⢷⣹⠈⡏⡿⡊⡇⢸⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡇⣿⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣤⡀⠀⠀⠀⠀⠀⠀⠁⢰⠈⡇⡠⢊⡼⢀⡄⠀⢀⡾⣫⡾⢫⠀⢠⠀⠀⢰⡘⣷⣮⣭⣽⣿⢟⡵⡄⠀⠀⠈⠛⠻⠟⠛⠁⠻⠟⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠫⢀⣾⣿⡟⠀⡟⠀⡇⢳⡄⠀⢽⣗⡘⢿⡾⣾⡀⡇⠙⢡⡇⣸⢸⣿⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⢟⣵⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣶⠖⠀⠀⠀⠈⢻⣷⡀⠄⠀⠀⠀⠀⠘⡆⣧⠈⠿⠴⠟⠁⠀⠘⣼⠫⠂⣾⣠⢸⡄⢀⡄⠃⠹⣿⠿⣋⠕⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣍⢿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⡿⡁⢢⡁⡔⣽⣦⡉⠀⠠⣍⣓⠈⢧⡻⡷⣅⠀⠘⣿⣸⡌⢻⣧⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡌⣯⡿⣃⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢿⣅⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⡍⣾⠂⠄⠀⠀⠀⠀⠀⠃⠀⣸⣧⠇⣿⣣⡾⠁⠄⣠⣴⠞⠃⠀⣠⢀⢀⢠⠆⢠⠐⡀⠀⡀⠠⠀⠀⢌⢙⠛⠻⢦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣇⠸⣷⡙⢆⡈⠳⠄⠐⢬⣽⣷⠸⣇⢹⠙⣯⠀⢻⣿⣿⢸⣿⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⣧⠸⣱⡇⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠈⠻⣷⣄⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⢧⡘⠸⢠⠀⢰⠠⠐⣤⣤⣾⡿⢋⣼⡷⠋⢀⡴⢚⠉⠀⢠⠀⢰⡇⡎⠀⠊⡜⢸⠆⠇⠀⠘⠀⠃⠀⠸⠀⠹⣆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⠃⡾⣷⡘⣦⣿⡟⣷⡅⠀⢳⣜⢷⡰⣅⠀⠉⠀⠃⡿⠀⡈⡇⣿⣼⣿⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⢻⣧⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⢠⣿⣿⠀⠀⠀⠀⢀⡈⠻⠦⠀⠀⠈⠳⠄⠀⠉⣁⡴⡿⢋⠀⠁⡞⠀⠇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠈⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⡄⠈⠙⠻⠿⠟⠋⣡⢼⣇⢻⡇⣸⣾⣿⢸⣿⡘⢦⡹⡆⢻⡼⣧⠀⠀⠰⣧⡆⠁⣇⢸⣿⡿⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⣦⡙⡇⣾⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠈⠻⣷⣦⣿⣿⡏⠀⠀⠀⠀⢸⡇⡄⠈⢣⠀⢀⠤⠀⠀⡡⣠⣿⢁⡏⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠑⡄⣀⠀⣄⠆⢿⣬⠻⢨⣇⠹⣿⣿⡄⢻⣷⡄⢳⢁⠈⠀⡟⠀⠀⢃⠈⣿⠀⡟⢸⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⢿⣦⢿⡆⣄⠀⠀⠀⢀⣤⡟⠃⠉⠻⢿⣷⣶⣶⣾⣿⣿⣿⣯⡀⠀⠀⠀⡔⢸⣇⣼⡆⠀⠀⠀⡄⠀⠎⣴⡿⡁⢸⢡⡟⠀⠀⠀⠀⠀⡀⢰⢠⣶⡇⣰⢠⠂⣠⡅⡠⡀⢠⡀⡔⡀⢠⢀⡄⢠⠄⠀⠀⠀⠄⠃⢾⡇⢸⣾⣒⠝⣷⣄⢿⣧⢹⣿⣿⠀⢿⡇⠈⠀⠀⠐⠁⢰⠀⡇⡁⠘⢆⣇⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢢⣝⠻⣇⢻⡆⠀⠰⡿⠋⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠁⠈⠿⠿⠀⠀⣼⡇⡾⢟⣡⠆⠀⠀⢸⠧⠀⠀⣿⢃⡇⠈⠘⠀⡔⣼⢰⢠⡆⣿⣸⣾⣿⣇⣿⣿⣼⣿⡿⣱⠇⣷⣽⣳⡇⣿⣼⢡⣿⢠⠀⠀⢀⠈⠀⠈⢿⡄⣟⣿⣷⡐⢝⠿⣿⡏⣿⣿⢰⢹⣿⠀⠀⢀⠆⢰⠃⣠⠺⠁⡰⢄⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣬⣻⡘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣱⣟⣤⣾⠿⠫⠀⠀⠀⢂⣠⠀⢀⢡⣾⡇⡰⢠⣾⢡⣿⣸⢸⣿⣿⡟⣿⢸⣿⣿⣿⣿⢏⣾⢟⣼⣿⣿⣿⣿⣿⣿⣿⣿⠈⣧⢳⡘⣎⣧⣸⣸⣿⡟⢸⣿⣿⣦⣕⢀⢳⣿⣿⠿⢸⡿⠀⠀⡎⠀⢻⠰⠱⠁⡞⡝⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣭⣭⣛⣈⣻⣦⣄⡀⠀⢀⡀⠀⠀⣀⡀⠀⢀⣠⣾⣛⣑⣻⣭⡭⠂⠀⠀⠀⢠⠀⢉⣥⡾⢃⣾⡟⢠⠃⣿⣿⣸⣿⣿⣿⡿⢋⣼⠋⣼⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣷⣧⡌⢻⣹⣿⣿⡇⣿⣿⣿⣿⡝⠎⣾⣿⣿⠁⡾⡀⠐⣄⠁⠘⢤⣁⠀⢈⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣍⣉⣩⣭⣶⡾⢟⣩⠖⠋⠙⢮⣝⠻⣶⣮⣭⣉⣉⡩⠁⠀⠀⠀⠀⠀⠸⠀⡞⡞⡇⢸⣿⣇⠀⠂⣿⡏⣿⣿⣿⡿⠁⣾⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢻⣿⣿⣇⢿⣿⣿⣿⣿⢸⣿⣿⣿⣆⣿⢻⣦⠙⢧⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠰⠟⠁⠀⠀⠀⠀⠝⠷⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⢃⣧⢇⢀⣿⣿⢆⡞⣼⡇⣿⣿⣷⢃⢸⣿⢸⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡿⣸⣿⣿⣿⣾⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣆⢹⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠸⡀⢿⡟⢸⢻⣿⠁⣿⣿⡟⣸⡄⣿⣯⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡏⣿⣿⣿⡆⢿⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠶⢶⣶⠄⢠⠀⠀⠀⠀⠀⠹⠇⠃⣳⡈⢿⡺⠈⡏⢰⣿⣿⡃⣿⣷⣿⣿⢹⣿⣿⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⣿⣿⡇⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⢒⣋⣩⣥⣴⣿⣾⡿⠟⣁⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠈⣠⢰⡇⣾⢿⢸⣧⢸⣿⣿⢇⣾⢻⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⢿⣿⡷⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢶⣛⣭⣵⣶⣿⣿⣿⣿⡿⠟⢋⣩⣴⠾⠋⠀⡀⢰⣶⣒⡒⠦⣄⡀⠀⠀⠃⠀⡇⡞⠀⡟⡿⢸⣯⣾⢻⡟⢸⡟⣼⢻⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣾⣿⠞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⣵⣾⣿⠿⠿⠿⠛⠛⢋⣉⣤⣴⣾⠏⢉⣢⣴⣶⢂⢸⠀⣿⣿⡿⣷⣄⠙⡄⠀⠀⠀⠀⠁⠀⠹⠁⣘⡟⣇⠘⡇⠿⢰⡟⢸⣿⡇⢸⡟⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠀⠀⠀⢀⣴⣾⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠶⠦⣤⣤⠤⠶⣶⣶⣛⣯⣭⣶⣿⣿⡶⢟⣩⡿⣿⣿⠈⠈⡇⢹⣿⣿⣎⢿⡆⠀⠀⠀⠀⠀⠀⠸⠀⠸⢸⢣⣿⢠⣷⢀⡿⢁⣿⣿⣧⣾⡇⢹⣿⣿⣿⣿⣿⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⡿⠋⢁⠄⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⣰⣿⣿⣿⣿⣛⣛⣯⣭⣷⣞⣛⣥⠊⢻⣿⡶⣆⣧⠘⢛⣉⠙⢸⠇⠀⢀⣤⡀⠀⠀⠀⠀⠀⠸⠸⡟⣼⢿⡘⣇⠘⣿⣏⣿⣿⡀⢸⣿⣿⣿⣿⣿⡿⣌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣟⡇⢻⣿⣿⢿⡿⣿⡇⣿⢸⠇⢀⣴⡟⢀⣴⠟⣹⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠘⣆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣧⢻⣼⡀⢿⣿⡆⠉⣠⣾⣿⠟⠀⠀⠀⢀⣾⣦⣄⠀⠀⣘⠎⠷⣽⡆⠸⣿⡎⣯⢷⣌⢻⣿⣿⣿⣿⡿⣝⡿⣷⣶⣿⣿⣿⣿⣿⠏⠸⠃⣼⣿⠏⠘⠃⡿⠁⠃⢀⣴⡿⣫⣴⠟⣡⣾⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⡇⢸⡿⢀⣴⣿⡿⠋⠀⠀⣠⠃⣼⣿⣿⣿⣿⣦⡈⠣⠀⠘⠧⠘⣿⡇⢿⣇⠙⠳⠿⣿⣿⣎⡻⠾⠽⣒⠉⠛⠛⠛⠉⠁⠀⠀⠘⡋⠁⠀⠀⠀⠀⢀⣴⣿⣿⡿⢋⣥⣾⣿⣿⣿⡿⠋⣡⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⢴⣶⣶⣶⣶⣶⣤⣤⣀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣧⠘⠃⣼⣿⠟⠀⠀⣠⣾⠃⣼⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⠈⠃⠊⠙⠓⠊⠀⠀⠉⠛⠿⠶⠂⠀⠀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⠖⢀⡞⣠⣿⡿⠟⣉⣴⣿⣿⣿⣿⠟⢁⣤⡿⠟⢋⣩⣴⣾⣿⡿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣀⣿⣿⣿⣿⣿⣿⣿⣿⢿⡆⠸⣿⣿⣿⣿⣿⣿⣿⣿⢿⠸⣿⠠⢰⠟⠁⢀⣤⣾⣿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⣾⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠘⠿⠟⠉⣠⣾⣿⣿⣿⣿⡟⠁⡠⠟⣡⣴⣾⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⠟⣡⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠯⠛⠿⠎⠳⠮⠥⠼⠃⠀⢿⣿⣿⣿⣿⣿⣿⣿⠸⡆⣿⡇⠀⢀⣴⣿⣿⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⣠⣾⣿⣿⣿⣿⣿⣿⣿⠘⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⠋⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⡟⠀⣿⠿⠛⠉⣠⣾⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣿⣿⣿⣛⠒⢶⣶⣶⣦⣤⣈⠙⢿⣿⣿⣿⣿⡇⣧⢹⣇⠀⣿⣿⣿⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⠄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⢃⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⡿⠁⣠⣶⣿⣿⡿⢋⣿⣿⣿⡿⠋⠀⠀⢐⣠⣴⣿⣿⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣷⣌⣿⣿⣿⣿⣾⡆⠈⣿⣿⣿⡟⡇⢹⢸⣿⠀⢻⣿⣿⠏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣴⠞⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡏⣸⣿⣿⣿⣿⣿⣿⠏⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣿⣿⣿⠏⣰⣿⣿⣿⠟⠁⣀⣴⣶⣿⣿⣿⠿⢋⣡⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢋⣉⣉⣉⣉⣉⣉⠙⠋⠀⢼⣿⣇⡇⡇⢻⢸⡎⣿⡇⢸⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⣾⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠃⢿⣿⣿⣿⣿⡿⠃⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣴⣿⣿⣿⡿⠃⣰⣿⣿⣿⠏⢠⣾⣿⣿⣿⡿⢋⣡⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣷⣄⠘⣿⣿⣿⣿⡾⠿⢛⣋⡀⢸⠏⣰⣿⣿⣿⣿⣿⣿⣿⡿⢋⣤⣾⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣴⣿⣿⣿⣿⡿⠁⢰⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡿⠟⢁⣹⣿⡟⢀⣿⣯⣭⣶⠶⠟⠛⢁⣠⠄⣼⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣶⣦⣤⣀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠃⢀⢻⣿⡿⢩⣿⣿⣿⣿⡿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠉⢭⣭⣥⣀⠈⠉⢉⣉⣠⣤⣴⣾⣿⠏⣸⣿⣿⣿⣿⣿⡿⢋⣴⣿⠟⢋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⣬⣉⠛⢿⣿⣶⣤⣄⡀⠉⣻⣿⣿⣿⣿⣿⡇⣿⣿⡏⠀⢸⠸⠟⢠⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣎⡅⢸⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣿⣿⠟⢉⣴⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠲⣌⡛⣦⣬⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⢻⣿⢸⣿⠁⠀⠈⠁⣰⣿⣿⡿⠟⡋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠁⢼⣿⣿⣿⣿⣿⡏⣰⣿⣿⣿⠟⢡⣾⠿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠧⢂⣶⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣧⢿⡎⣿⠀⡟⠀⠀⠀⣴⣿⣿⢋⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠋⠀⠀⣠⣤⣄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⣿⣿⠟⠁⠈⢠⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⡏⣰⣿⡿⠟⣡⡶⠛⣁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⠟⢋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡘⣷⢸⠀⡃⠀⠀⣼⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣬⣴⣿⣿⣿⣿⣷⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣟⣡⣴⢶⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠻⠋⣴⠟⢉⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⠈⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠹⢿⣿⡿⠛⠁⠀⣸⣿⠀⠀⠀
⠀⠀⠀⠀⠿⠛⠋⠉⣠⣿⣿⠟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠁⣠⣴⡿⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣿⣟⣁⣤⣴⣶⣿⠿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡿⠛⣁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣿⣿⣷⣤⣾⠗⠀⠀⢰⡀⠌⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⡿⠿⠛⠛⠉⠉⠀⠀⣠⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢁⣤⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡈⠙⢿⣿⣿⣦⣀⣠⡿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢀⣴⣾⣿⡿⠋⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠉⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣴⣿⠿⠿⣿⣿⣷⣄⠈⠻⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⡿⠋⠀⠀⠀⢈⣽⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡁⠀⠀⠈⠹⣿⣿⡇⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡿⠉⠀⠀⠀⠀⣠⣿⣿⡟⠙⢿⠗⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⣰⣿⣿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣦⣄⠀⠀⠀⠈⠻⣿⣿⣦⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠏⠀⠀⠀⢀⣼⣿⡿⠋⠀⠁⣼⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⢿⣿⣿⣦⣀⠀⠀⠈⠻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢠⣾⣿⡿⠿⣷⣤⣾⣿⡿⠉⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣦⡀⠀⠀⠀⢹⣷⣠⣼⡿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⡟⡀⡀⣠⣿⣿⠟⠀⠀⠀⠀⠀⠘⠿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠰⣾⣿⣯⠉⢻⣿⡿⠀⠀⠀⠈⣿⡟⠁⠀⠀⠹⠛⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢀⣴⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡏⠻⡿⠑⣶⣤⡤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢸⣿⣿⣧⠁⠘⣿⣿⣆⣸⣿⣥⡂⠀⠀⠀⠸⣿⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠁⠀⣸⣿⣿⠡⠀⢸⣿⣷⠖⠐⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣀⠀⠀⢹⣿⣿⣷⣄⠀⢸⣿⣿⣿⣇⠀⠘⣿⣿⣏⠻⢿⣿⣷⣤⠄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠁⠀⠀⢠⣿⣿⣷⣤⣄⣾⣿⡿⠀⢠⣿⣿⠎⠙⠛⠀⠀⠀⠀⠀⢀⣤⣶⡿⠿⠿⢿⠀⠀⣠⣾⡿⠋⠉⠙⢿⣿⣷⡄⠀⣿⡟⣿⣿⣦⣸⣿⠘⣿⣿⣆⠀⠘⣿⣿⣦⡂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠿⢿⡁⠀⠀⠀⣼⣿⣿⠀⠉⢹⣿⣿⠃⠀⣸⣿⣿⣤⣤⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⠀⢹⣷⠈⢻⣿⣿⣿⠀⠹⣿⣿⣆⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⣿⡇⠠⠀⣿⣿⡏⠀⠀⣿⣿⡏⠈⠉⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⣼⣿⡟⠀⠸⣿⡆⠀⠙⠿⠿⠀⠐⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠘⠛⠿⠇⠀⢠⣿⣿⣧⣤⣠⡤⠀⠀⠀⠀⠀⠹⣿⣿⣔⡂⠀⢀⣠⠄⠘⢿⣿⣷⣤⣤⣴⣿⠟⠁⠀⠀⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠟⢛⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠶⠆⠰⠶⠖⠲⠰⠲⠒⠶⠶⠶⠲⠖⠲⠶⠶⠶⠂⠒⠒⠶⠲⠖⠲⠖⠒⠶⠲⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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Loadout
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Ausrüstung
Ausrüstungsstufe
686 Item Level
5 Set Teile (T33)
684
684
684
707
684
684
684
701
684
681
684
671
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691
684
691
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Raid-Fortschritt
- Stufe 33 (Befreiung von Unterminen)
| Befreiung von Undermine [AOTC] | Fortschritt | Boss Kills |
|---|---|---|
| Mystik | 3/8 M | 10 |
| Heldenhaft | 8/8 H | 106 |
| Normal | 8/8 N | 74 |
Keystone Upgraded +2 Under by 6:42.960 Aug 5 2025 20:29 CEST(4 Tage vor)  +13 DFC | 8/05/2025 |
Keystone Upgraded +2 Under by 10:03.042 Aug 5 2025 18:38 CEST(5 Tage vor)  +14 FLOOD | 8/05/2025 |
Keystone Upgraded +2 Under by 9:48.011 Aug 4 2025 23:49 CEST(5 Tage vor)  +12 BREW | 8/04/2025 |
Keystone Upgraded +2 Under by 10:28.083 Aug 4 2025 23:23 CEST(5 Tage vor) +12 DFC | 8/04/2025 |
Keystone Upgraded +1 Under by 2:18.975 Aug 4 2025 21:52 CEST(5 Tage vor)  +15 ROOK | 8/04/2025 |
RealmID: 739
CharacterID: 232638556
Keystone Upgraded +2 Under by 6:42.960 Aug 5 2025 20:29 CEST(4 Tage vor) +13 DFC | 8/05/2025 |
Keystone Upgraded +2 Under by 10:03.042 Aug 5 2025 18:38 CEST(5 Tage vor) +14 FLOOD | 8/05/2025 |
Keystone Upgraded +2 Under by 9:48.011 Aug 4 2025 23:49 CEST(5 Tage vor) +12 BREW | 8/04/2025 |
Keystone Upgraded +2 Under by 10:28.083 Aug 4 2025 23:23 CEST(5 Tage vor) +12 DFC | 8/04/2025 |
Keystone Upgraded +1 Under by 2:18.975 Aug 4 2025 21:52 CEST(5 Tage vor) +15 ROOK | 8/04/2025 |
