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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠴⢶⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣷⣦⣄⠀⠀⢀⣽⡿⠋⢠⣤⣄⡀⠀⠀⠀⠀⠀⠈⠐⢤⡀⠀⠀⢻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣶⡿⠋⠀⠀⠈⢻⣿⣿⣷⣦⣀⠀⠀⡀⠀⠀⠹⣦⡀⠀⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣤⣀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠋⢀⣴⣷⣦⣄⣠⣿⣿⣿⣿⣿⣦⡀⠈⢷⣄⡀⣹⣿⣆⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⢶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠙⣿⣷⣦⣄⠈⢙⣶⣿⠿⠋⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣤⣀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣠⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⢀⡼⢿⣿⣿⣿⣦⣄⢀⣾⣿⣿⣿⠟⠁⣠⣾⣿⣿⣿⡿⠿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡆⢸⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣦⣄⢀⣴⡟⠀⣠⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⣠⣾⡿⠟⠛⠉⠁⠀⢀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣤⣤⣉⠙⠷⣶⣤⣀⠀⠀⠈⠙⠻⢿⣿⣿⡿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠁⢸⣿⡇⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⢁⣴⣿⣿⣿⣿⣿⣿⡿⠋⢀⣴⠿⠋⠁⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣦⣄⠀⠀⠀⠉⠻⣷⡈⠻⣆⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠋⠀⠔⠋⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⠑⠀⠙⣷⡀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⣰⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠟⢁⣾⣿⠋⠀⠀⠀⠀⠀⠉⢉⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢤⡀⠀⠀⠈⢿⡄⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢰⣿⢠⣷⣴⣿⣿⣿⣿⣿⠟⠁⣰⣿⡟⠁⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⢷⣄⠀⠀⠈⢿⣆⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢀⣼⣿⠏⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣦⠀⠀⠘⣿⣆⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⢸⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣠⣾⣿⠋⠀⣠⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢿⣷⠶⠤⠀⠀⠀⠀⠀⠈⠙⢿⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣘⣿⣧⠀⠀⢸⣿⡄⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⢸⣷⣇⣴⣿⣿⣿⣿⣿⣿⡟⢀⠏⠀⣼⣿⣿⠇⢀⣼⣿⡿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⣩⡤⠖⠒⣉⣡⣤⣴⣶⣾⣷⣶⣦⣄⠀⠀⠀⠀⠙⠄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⣼⣿⣿⠟⣿⣿⣿⣿⣿⡿⠁⡸⠀⣼⣿⣿⡟⢀⣾⣿⡿⠁⢰⣿⣿⣿⣿⣿⣿⣿⡿⠟⢉⣠⣶⠟⢋⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠷⣄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢹⣿⣧⣀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⡀⢠⣿⠟⢡⣾⣿⣿⣿⠿⠋⠀⢠⡇⢰⣿⣿⣿⠁⣼⣿⠟⠁⠀⣾⣿⣿⣿⣿⣿⠟⢉⣠⣾⠿⢋⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⣠⠊⢀⣾⠃⢀⣿⣿⡿⠋⣀⡴⠀⢠⣿⣷⣿⣿⣿⡿⠰⠛⣁⡔⠀⢰⣿⣿⣿⡿⠛⢁⣴⣿⠟⣡⣴⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢣⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⡜⠁⣠⣿⠇⠀⢸⣿⣿⣴⣾⣿⣷⣶⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣤⣴⡿⠟⡻⠏⢀⣴⣿⠟⢡⠾⠿⠛⠛⠛⠛⠿⢿⣿⣦⡀⠉⠛⢿⣿⣿⡍⠙⠿⣿⣿⣿⣿⣿⣷⡀⠸⣧⠀⠀⠀⠀⢹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⡟⢠⣾⣿⣿⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⡿⠟⠛⢉⣤⡶⠋⠀⣴⣿⡿⠁⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠙⠷⠀⠀⠀⠙⢿⣷⠀⠀⠘⢿⣿⣿⣿⣿⣷⠀⣿⡆⠀⠀⠀⠸⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⣧⣿⣿⣿⣿⣿⡿⢛⣽⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡿⠛⢁⣠⣴⣾⠟⠋⠀⣠⣾⡿⠋⢠⣶⣾⠟⡁⠀⡜⢀⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠈⣿⣿⣿⣿⣿⣦⣿⣿⠀⠀⠀⠀⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢹⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⠏⢀⣴⠿⠛⠉⠀⢀⣴⣾⣿⠟⠁⣰⣿⣿⣿⡿⠁⣰⡇⢸⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⠀⣾⣿⣿⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢸⣿⣶⣿⣿⣋⣥⣴⣾⣿⣿⠟⠁⢀⣾⣿⣿⣿⠟⠀⣴⡿⢀⣿⣿⣿⡿⠿⠛⠛⠛⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣴⣿⡿⠟⠋⢀⣠⣾⡿⢁⣼⣿⣿⣧⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⠾⠟⠋⠁⢀⣠⣶⣿⣿⠟⢡⣾⣿⣿⠿⠿⠟⠛⠛⠛⠛⠢⠄⠀⠀⠀⠀⠀⠀⣰⣿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⠟⠁⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣀⣤⣴⣶⣿⣿⣿⣿⠟⢁⣴⣿⣿⣧⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠞⠋⠁⢠⣿⣿⣿⣿⣿⡟⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢁⣴⣾⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠚⠉⢉⣿⣿⣿⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⠁⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠟⠉⠀⢀⣴⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡿⠿⠋⣰⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡿⠛⠁⠀⢀⣴⣿⣿⠿⠋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠸⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢻⣿⣿⣿⠋⠀⡄⠀⢠⣿⣿⠟⠋⠁⠀⠀⣾⣿⣿⠋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣉⣉⡉⠉⠁⠀⠠⠴⠿⠿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠉⠀⠀⠠⠶⠛⠋⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣿⣿⠃⠀⣸⠀⠀⣾⡟⠁⠀⠀⠀⣠⣾⡿⠟⠁⣴⣿⡿⠟⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠒⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢀⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢿⣿⡀⢀⣧⣤⣾⣿⣿⣷⣿⡟⠛⠋⠉⣀⣴⠞⠋⢁⣴⣶⣿⣿⣿⣷⣾⣿⣏⠉⣉⣉⣉⣤⣤⣶⣾⣟⡋⠉⠉⠁⠀⠀⠀⠈⠉⠉⠙⠳⠄⠀⣠⣶⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⣠⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣁⣤⣴⣾⣿⡿⠿⠛⠛⠛⠋⠀⣶⣬⡁⠙⣿⣿⣿⣿⡟⠛⠉⠉⠉⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣠⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠛⣹⣿⣿⣿⣿⣿⡿⠿⠿⠿⠏⠀⢀⣶⣾⣿⣿⠏⣰⣾⣿⣿⣦⡘⢿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣠⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⣸⣿⣿⣿⣿⠏⢨⣿⠇⣼⣿⣿⠿⠿⠏⢠⣶⠞⠋⠐⢠⣿⣿⣿⣿⠛⠋⣰⣿⣿⣿⣿⣿⠷⠌⢙⣿⠿⠿⠿⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⣀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣀⣴⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢠⣷⣾⣿⣿⣿⣟⣩⣤⣶⣿⣿⣿⣿⣿⣧⡀⢤⣤⣌⣏⠀⠀⠀⠀⣿⣿⣿⣿⠀⢺⣿⣿⣿⣿⡙⢁⡒⠈⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⢉⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⣠⣴⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣠⣤⣤⡙⠟⠉⠀⠀⠀⣸⣿⣿⡟⠉⣠⣾⣿⣿⠿⠛⣁⣘⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⣁⣤⣶⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠟⠉⣠⡤⠀⢉⣿⣿⡟⠛⠛⣋⠀⢹⣿⡛⠉⠀⠀⠀⠀⢀⣿⣿⠿⠃⣸⣿⡿⠋⣠⣀⠁⠀⠀⠀⠀⠀⠉⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⢁⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⡏⠀⣾⣿⣤⣴⣿⣿⠿⠛⠀⢾⣿⣿⣿⠛⠋⠉⠀⠀⠀⠀⣼⣿⣿⡆⢠⣿⡟⢠⠾⠿⠟⠻⠷⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⢉⣁⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⡿⠀⣴⣶⣶⣿⠟⠋⠀⠀⠀⠀⠀⠀⢰⣿⣧⠀⢀⣾⡟⢠⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⢩⣥⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢀⣤⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠠⣤⣘⣿⡿⠻⠆⠀⠀⠀⠀⠀⠀⠀⣿⠀⠉⣠⣾⣿⠁⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⠛⣻⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⣀⣴⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠛⠉⠙⠛⠁⠀⠐⣶⣶⣾⣿⠿⠶⠄⠀⠀⠀⠀⠀⠀⠀⣼⠛⢀⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⠋⠁⠀⣠⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⣀⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠶⠟⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠙⠃⣾⣿⡿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠉⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⣠⡴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠰⠏⠉⢁⣾⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠁⠀⠀⠀⢀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣀⣠⣴⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⢀⠼⠋⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠐⠚⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣭⣥⣤⣤⡤⠶⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠉⠁⠀⠀⠀⠀⢀⣀⣠⣤⣶⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠛⢛⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣴⣾⣿⣿⠿⠋⠉⠀⠀⠀⠀⠀⢀⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠛⠉⠀⠀⢀⡀⠤⠀⠀⠀⠀⠀⠀⠀⠠⠤⠒⠚⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣩⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠋⠀⠀⣀⡤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⢀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣄⣀⣀⣀⣀⣠⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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║ GENERAL SUMMARY ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Phone: 79817280768 ║
║ SNILS: 13387574085 ║
║ INN: ║
║ Email: Fitnessstoliarov@mail.ru, Stal1990@mail.ru, ║
║ Fitnessstolairv@mail.ru, Stoyalyarov@bk.ru, ║
║ Sasha.shkvarchuk.90@mail.ru, Motor23@inbox.ru ║
║ Vehicles: р677не799, у526уе178, е270ек799 ║
║ Identities: stoliarov aleksey viktorovich 25.02.1990, ║
║ stoliarov aleksey otchestvo 11.02.1983, ║
║ stoliarov aleksey 25.02.1990, aleksey stoliarov 01.01.1991 ║
║ Passports: 4520964573, 4010000931, 4390626786, 9645734520, 4018267059 ║
║ Addresses: Moscow, Osennyaya St. 26; Marshal Rybalko 2 9; ║
║ St. Petersburg, 23rd Line V.O., 28, 40; Moscow, Marshal Rybalko St. ║
║ Numerous other addresses... ║
╚══════════════════════════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════════════════════════╗
║ CDEK CLIENTS 2025 ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Full Name: Stolyarov Aleksey Viktorovich ║
║ Registration Date: 26.04.2025 ║
║ Client Type: Regular ║
║ Phone: 79817280768 ║
║ Responsible Office: KSK2, PVZ, Krasnoyarsk, Surikova St., 12/6, RU ║
║ Address: Russia, Moscow ║
║ Birthday: 25.02.1990 ║
╚══════════════════════════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════════════════════════╗
║ RE-STORE.RU USERS 2024 ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Timestamp: 2023-05-02 18:16:31 ║
║ Login: fitnessstoliarov@mail.ru ║
║ Full Name: Aleksey ║
║ Email: fitnessstoliarov@mail.ru ║
║ Registration Date: 2020-05-15 18:17:18 ║
║ Phone: 79817280768 ║
║ Password Last Change: 2020-05-15 18:17:18 ║
╚══════════════════════════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════════════════════════╗
║ PHONE INFO 2024 ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Phone: 79817280768 ║
║ Lifespan: 2 ║
║ Social Circle: 10-20 contacts ║
║ Usage Periods: 4 ║
║ Periods Since Last Use: 1 ║
║ Max Payment: 3 ║
║ Communication Cost: 3 ║
║ Device Type: 2 ║
║ Roaming: 1 ║
║ Phone Number Lifespan: 5 ║
║ Last Month Activity: 5 ║
║ Period From First Activity: 6 ║
║ Days Outside Tariff: 5 ║
║ Incoming Calls Count: 7 ║
║ Total Calls Processed: 7 ║
║ Incoming Calls: 6 ║
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╔══════════════════════════════════════════════════════════════════════════════════════════════╗
║ ROSREESTR 2024 ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Full Name: Stolyarov Aleksey Viktorovich ║
║ Document Type: Passport of Russian Federation ║
║ Passport Number: 4520964573 ║
║ Issue Date: 2020-11-26 ║
║ Issuing Authority: GU MVD RUSSIA IN MOSCOW ║
║ SNILS: 13387574085 ║
║ Birthday: 25.02.1990 ║
║ Birth Place: CITY OF LENINGRAD ║
║ Email: fitnessstoliarov@mail.ru ║
║ Phone: 79817280768 ║
║ Contact Address: St. Petersburg, 23rd Line V.O., 28, apt 40 ║
╚══════════════════════════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════════════════════════╗
║ ORDERS RE-STORE 2024 ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Full Name: Aleksey ║
║ Address: Moscow Osennyaya St. 26 ║
║ Phone: 79817280768 ║
║ Email: fitnessstoliarov@mail.ru ║
║ Delivery Date: 2020-05-17 ║
║ Delivery Time: 10-22 ║
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╔══════════════════════════════════════════════════════════════════════════════════════════════╗
║ ORDERS DUFFCAR.RU 2024 ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ Full Name: Stolyarov Aleksey Viktorovich ║
║ Address: Marshal Rybalko 2 9 ║
║ Phone: 79817280768 ║
║ Reminder Date: 2021-07-22 ║
║ Entry Date: 2021-07-21 13:43:11 ║
║ Status Date: 2021-07-26 16:00:00 ║
║ Tracking Number: pl-001775-416794 ║
║ Tracking Check Date: 2021-11-11 ║
║ Tracking Result: Shipment delivered ║
║ Operation Date: 2021-07-26 16:00:00 ║
║ CDEK Pickup Code: 17547560020000 ║
║ CDEK Pickup Name: Pickup point OZON Moscow, Marshal Rybalko St., 10 ║
║ Conversation History: 2021-07-21 13:44 - Blogger ║
║ Last Modification: 2021-07-21 13:53:00 ║
║ Order Amount: 2850.0 ║
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║ ADDITIONAL CLIENTS & DETAILS ║
╠══════════════════════════════════════════════════════════════════════════════════════════════╣
║ (Other blocks like clients World Class, levelkitchen.ru, noomeera.ru, Alfa Bank, MFO NBKI...)║
║ (Add as needed following the same box style) ║
╚══════════════════════════════════════════════════════════════════════════════════════════════╝
===============================================================================
=== ORDERS RULYOU.RU 2023 ===
===============================================================================
Added: 2021-10-25 16:19:22
Delivery Address: 3rd Yamkogo Polya St., 9
Pickup Address: Sretenka St., 30
Total Commission: 108.03
Bonus: 0.0
Category: courier
City: Ryazan
Phone: +7 981 728-07-68
Service Fee: 94.8
WebTaxi Fee: 13.23
Created At: 2021-10-25 15:48:44.000Z
Order Date: 2021-10-24 19:00:00.000Z
Date Added: 1970-01-19 22:13:07.724Z
DateTime Added: 1970-01-19 22:13:16.762Z
Fixed Rent: 0.0
Coordinates: 55.77105, 37.63289
Order Number: 438698
Paid Amount: 294.00
Call Sign: 49y49038
Supplier: Yandex.Delivery
Distance Travelled: 4.76 km
Distance to Pickup: 1.52 km
Payment Method: Cashless
Status: 1
Distance to Stop: 0.0
Sum: 294
Timezone: 23:48:44
Pickup Time: 00:04:17
Input Time: 00:01:43
Time in Order: 00:18:07
Order Time: 00:18:27
Order Time (2): 00:18:27
Tips: 0.00
Driver ID: 49038
===============================================================================
=== ALFA BANK CLIENTS 2023 ===
===============================================================================
Full Name: Stolyarov Aleksey Viktorovich
Date of Birth: 1990-02-25
Phone: +7 981 728-07-68
===============================================================================
=== IS UDRVS 2023 ===
===============================================================================
Address: 1000008, St.
Registered Addr: 1000008 City, Khoroshevo-Mnevniki district,
Narodnogo Opolcheniya St., 15, bldg. 3, apt. 3
Birth Date: 1990-02-25
Registration Date: 2020-12-22 04:28:06
Last Update: 2023-06-28 11:10:21
Email: fitnessstoliarov@mail.ru
Full Name: STOLYAROV ALEKSEY VIKTOROVICH
Passport Issued By: GU MVD RUSSIA FOR MOSCOW
Division Code: 770062
Passport Number: 4520964573
Phone: +7 981 728-07-68
Issued By ZAGS: GU MVD RUSSIA FOR MOSCOW
ZAGS Number: 4520964573
===============================================================================
=== FOOD DELIVERY ADDRESSES 2022 ===
===============================================================================
Full Name: STOLYAROV ALEKSEY VIKTOROVICH
Date of Birth: 1990-02-25
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, apt. A638
Phone: +7 981 728-07-68
Delivery Name: Aleksei
===============================================================================
=== EDA.YANDEX.RU USERS 2022 ===
===============================================================================
Phone: +7 981 728-07-68
Full Name: Aleksei
Registration Date: 2021-09-22 19:37:07
Place Name: Pizza Romana Pinsapositana
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, apt. A638
Latitude: 55.781443
Longitude: 37.581119
Sum RUB: 3840
Total Orders Sum: 63399
Agent (Device): iOS (5.21.0)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: S Aleksei
Registration Date: 2021-11-25 21:05:01
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, intercom code 1
Latitude: 55.781626
Longitude: 37.580894
Sum RUB: 2398
Total Orders Sum: 63399
Agent (Device): iOS (5.25.0)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: Aleksei
Registration Date: 2021-09-23 19:45:27
Place Name: Pizza Romana Pinsapositana
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, apt. A638
Latitude: 55.781443
Longitude: 37.581119
Sum RUB: 1189
Total Orders Sum: 63399
Agent (Device): iOS (5.21.0)
===============================================================================
=== RAKAMAKAFIT ORDERS 2022 ===
===============================================================================
Full Name: Aleksey Stolyarov
Address: RU Moscow, Marshal Rybalko St., 2k9, apt./office 508
Phone: +7 981 728-07-68
Registration Date: 2020-12-27 11:06:38
Item 0: Fitness Loops: set of 3 pcs
Item 1: Collagen Protein, 300g, vanilla flavor
Item 2: RAKAMAKAFIT Bag
Status Comment: Status auto-changed when delivery status changed to
"Courier Service 2008 (KS 76-1250)"
Status Updated: 2020-12-28 05:14:57
Weight (grams): 1060.0
===============================================================================
=== FOOD DELIVERY ADDRESSES 2022 ===
===============================================================================
Full Name: STOLYAROV ALEKSEY VIKTOROVICH
Date of Birth: 1990-02-25
Address 1: MOSCOW, Marshal Rybalko St. 2 k9 apt. 508
Phone: +7 981 728-07-68
Delivery Name: Aleksei
App Name: Aleksey Stolyarov
Address 2: Moscow, Marshal Rybalko St. 2k9 apt. 508, entrance 1, floor 5
Phone: +7 981 728-07-68
Delivery Name: Aleksei
Address 3: Moscow, 3rd Kadashevsky Lane 7-9 bldg. 1
Phone: +7 981 728-07-68
Delivery Name: Aleksei
App Name: Aleksey Stolyarov
Address 4: Moscow
Phone: +7 981 728-07-68
Delivery Name: Aleksei
App Name: Aleksey Stolyarov
===============================================================================
=== SKYENG.RU USERS 2022 ===
===============================================================================
Full Name: Stolyarov Aleksey
Address: RU Saint Petersburg & Leningrad Region
Phone: +7 981 728-07-68
Email: fitnessstoliarov@mail.ru
ID/Email: fitnessstoliarov@mail.ru
Skype: linked to email
===============================================================================
=== CDEK 2022 ===
===============================================================================
Client Name: STOLYAROV ALEKSEY
Phone: +7 981 728-07-68
Registration Date: 2020-12-02
===============================================================================
===============================================================================
=== EDA.YANDEX.RU USERS 2022 ===
===============================================================================
Phone: +7 981 728-07-68
Full Name: S Aleksei
Registration Date: 2021-12-29 09:02:25
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, intercom code 1
Latitude: 55.781626
Longitude: 37.580894
Sum RUB: 2238
Total Orders Sum: 63399
Agent (Device): iOS (5.27.2)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: S Aleksei
Registration Date: 2021-12-25 10:08:09
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, intercom code 1
Latitude: 55.781626
Longitude: 37.580894
Sum RUB: 2238
Total Orders Sum: 63399
Agent (Device): iOS (5.27.2)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: S Aleksei
Registration Date: 2021-11-20 08:52:02
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, intercom code 1
Latitude: 55.781626
Longitude: 37.580894
Sum RUB: 2228
Total Orders Sum: 63399
Agent (Device): iOS (5.25.0)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: S Aleksei
Registration Date: 2021-11-13 09:06:00
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, intercom code 1
Latitude: 55.781626
Longitude: 37.580894
Sum RUB: 2529
Total Orders Sum: 63399
Agent (Device): iOS (5.24.1)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: S Aleksei
Registration Date: 2021-12-12 10:03:22
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, intercom code 1
Latitude: 55.781626
Longitude: 37.580894
Sum RUB: 2138
Total Orders Sum: 63399
Agent (Device): iOS (5.27.0)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: Aleksei
Registration Date: 2021-09-12 09:54:50
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, apt. A638
Latitude: 55.781443
Longitude: 37.581119
Sum RUB: 2500
Total Orders Sum: 63399
Agent (Device): iOS (5.19.1)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: Aleksei
Registration Date: 2021-06-24 19:37:08
Address: Moscow, Marshal Rybalko St., 2k9, entrance 1, floor 5, apt. 508
Latitude: 55.797787
Longitude: 37.497153
Sum RUB: 1629
Total Orders Sum: 63399
Agent (Device): iOS (5.15.0)
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Full Name: Aleksei
Registration Date: 2021-09-15 19:15:15
Address: Moscow, Marshal Rybalko St., 2k9, entrance 1, floor 5, apt. 508
Latitude: 55.797787
Longitude: 37.497153
Sum RUB: 1869
Total Orders Sum: 63399
Agent (Device): iOS (5.20.0)
===============================================================================
=== AVITO.RU USERS 2022 ===
===============================================================================
Phone: +7 981 728-07-68
Email: fitnessstolairv@mail.ru
User ID: 299679750598
User Hash: a25cc03c12f3b3bec19e18d5333f896d
Profile URL: https://www.avito.ru/user/a25cc03c12f3b3bec19e18d5333f896d/profile
-------------------------------------------------------------------------------
Phone: +7 981 728-07-68
Email: fitnessstoliarov@mail.ru
User ID: 366219181
User Hash: 460861facbe8fabf8d83f663a831d220
Profile URL: https://www.avito.ru/user/460861facbe8fabf8d83f663a831d220/profile
===============================================================================
=== TELEGRAM USERS 2022 ===
===============================================================================
Phone: +7 981 728-07-68
Unique ID: 64630111
===============================================================================
=== CDEK 2022 ===
===============================================================================
Client Name: STOLYAROV ALEKSEY VIKTOROVICH
Phone: +7 981 728-07-68
Registration Date: 2020-11-15
-------------------------------------------------------------------------------
Client Name: STOLYAROV ALEKSEY
Phone: +7 981 728-07-68
Pickup Point: MSK163
Registration Date: 2021-02-08
-------------------------------------------------------------------------------
Client Name: ALEKSEY STOLYAROV
Phone: +7 981 728-07-68
Email: fitnessstoliarov@mail.ru
-------------------------------------------------------------------------------
Client Name: ALEKSEY
Phone: +7 981 728-07-68
-------------------------------------------------------------------------------
Client Name: STOLYAROV ALEKSEY
Phone: +7 981 728-07-68
-------------------------------------------------------------------------------
Client Name: ALEKSEY STOLYAROV
Phone: +7 981 728-07-68
-------------------------------------------------------------------------------
Client Name: STOLYAROV ALEKSEY VIKTOROVICH
Phone: +7 981 728-07-68
-------------------------------------------------------------------------------
Client Name: STOLYAROV ALEKSEY VIKTOROVICH
Phone: +7 981 728-07-68
-------------------------------------------------------------------------------
Client Name: ALEKSEY STOLYAROV
Phone: +7 981 728-07-68
===============================================================================
=== RUSSIAN POPULATION 2022 ===
===============================================================================
Full Name: Stolyarov Aleksey
Phone: +7 981 728-07-68
-------------------------------------------------------------------------------
Full Name: Stolyarov Aleksey Viktorovich
DOB: 1990-02-25
INN: 7801613971240
SNILS: 13387574085
Phone: +7 981 728-07-68
Email: fitnessstoliarov@mail.ru
Passport: 4520964573
Address: St. Petersburg, 23rd Line V.O., 28, apt. 40
===============================================================================
=== ROSTELECOM CLIENTS 2022 ===
===============================================================================
Phone: +7 981 728-07-68
Full Name: Stolyarov Aleksey Viktorovich
DOB: 1990-02-25
===============================================================================
=== EDA.YANDEX.RU USERS 2022 ===
===============================================================================
Phone: +7 981 728-07-68
Full Name: Aleksei
Registration Date: 2021-09-25 22:09:45
Address: Moscow, 3rd Yamkogo Polya St., 9, entrance 1, floor 6, apt. A638
Latitude: 55.781443
Longitude: 37.581119
Sum RUB: 1156
Total Orders Sum: 63399
Agent (Device): Mozilla/5.0 (iPhone; CPU iPhone OS 15_0 like Mac OS X) AppleWebKit/605.1.15
(KHTML, like Gecko) YandexEatsKit/1.24.0 EatsApp_iOS/5.21.0
===============================================================================
╔══════════════════════════════════════════════════════════════════════════╗
║ USERS DATA (eda.yandex.ru 2022) ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Phone: +7 981 728-07-68 ║
║ Full Name: Aleksei ║
║ Registration: 2021-07-22 11:46:12 ║
║ Address: Moscow, ul. Marshala Rybalka, bldg 2k9, entrance 1, ║
║ floor 5, apt. 508 ║
║ Latitude: 55.797787 ║
║ Longitude: 37.497153 ║
║ Sum in Rubles: 469 ║
║ Total Orders: 63399 ║
║ Agent (device): iOS (5.16.1) ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Phone: +7 981 728-07-68 ║
║ Full Name: Aleksei ║
║ Registration: 2021-07-19 17:17:51 ║
║ Address: Moscow, ul. Marshala Rybalka, bldg 2k9, entrance 1, ║
║ floor 5, apt. 508 ║
║ Latitude: 55.797787 ║
║ Longitude: 37.497153 ║
║ Sum in Rubles: 954 ║
║ Total Orders: 63399 ║
║ Agent (device): iOS (5.16.0) ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Phone: +7 981 728-07-68 ║
║ Full Name: Aleksei ║
║ Registration: 2021-07-17 16:59:27 ║
║ Address: Moscow, ul. Marshala Rybalka, bldg 2k9, entrance 1, ║
║ floor 5, apt. 508 ║
║ Latitude: 55.797787 ║
║ Longitude: 37.497153 ║
║ Sum in Rubles: 852 ║
║ Total Orders: 63399 ║
║ Agent (device): iOS (5.16.0) ║
╚══════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════╗
║ CLIENT DATA (gemotest.ru 2022) ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Full Name: Stolyarov Aleksei Viktorovich ║
║ Birthdate: 25.02.1990 ║
║ Phone: +7 981 728-07-68 ║
║ Email: fitnessstoliarov@mail.ru ║
║ Address: Saint-Petersburg, 23rd line V.O., bldg 28, apt 40 ║
║ Insurance: none ║
║ Passport: 4520964573 ║
║ Issued by: GU MVD Russia, Moscow ║
║ SNILS: 133-875-740 85 ║
║ Registered on: 2020-08-03 13:04:54 ║
║ Updated on: 2022-01-23 11:26:16 ║
║ Secondary Addr.: Moscow, Marshala Rybalka, 2k9, apt 508 ║
╚══════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════╗
║ TICKET BOOKINGS (tutu.ru 2022) ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Email: fitnessstoliarov@mail.ru ║
║ Full Name: Stolyarov Aleksei ║
║ Phone: +7 981 728-07-68 ║
║ Ticket Recipient: Pozdeeva Ekaterina ║
║ Passport: 3217779953 ║
║ DOB Recipient: 23.04.1997 ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Ticket Recipient: Stolyarov Aleksei ║
║ Passport: 4010000931 ║
║ DOB Recipient: 25.02.1990 ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Ticket Recipient: Cheraneva Polina ║
║ Passport: 4018267059 ║
║ DOB Recipient: 12.02.1999 ║
╚══════════════════════════════════════════════════════════════════════════╝
╔══════════════════════════════════════════════════════════════════════════╗
║ MAIL.RU USERS 2022 ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Email: stal1990@mail.ru ║
║ Phone: +7 981 728-07-68 ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Email: stoyalyarov@bk.ru ║
║ Phone: +7 981 728-07-68 ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Email: fitnessstoliarov@mail.ru ║
║ Phone: +7 981 728-07-68 ║
╠══════════════════════════════════════════════════════════════════════════╣
║ Email: sasha.shkvarchuk.90@mail.ru ║
║ Phone: +7 981 728-07-68 ║
╚══════════════════════════════════════════════════════════════════════════╝
================================================================================
|| USER PROFILE ||
|| ALEKSEI STOLIAROV ||
================================================================================
PHONE : +7 981 728-07-68
FULL NAME : Aleksei Viktorovich Stoliarov
DATE OF BIRTH : 1990-02-25
EMAIL : fitnessstoliarov@mail.ru
PASSPORT : 4010 000931
CARD NUMBER : **** **** **** 9306
--------------------------------------------------------------------------------
YANDEX.EATS ACCOUNTS 2022 (MULTIPLE REGISTRATIONS):
REGISTRATION DATE ADDRESS TOTAL SPENT (RUB)
------------------- ------------------------------------ -----------------
2021-10-25 23:48 Moscow, 3rd Yamskogo Polya St., 9, 6F 1337
2021-10-11 22:48 Moscow, 3rd Yamskogo Polya St., 9, 6F 835
2021-07-07 09:10 Moscow, Marshal Rybalko St., 2k9, Apt. 508 637
2021-10-28 19:01 Moscow, Marshal Rybalko St., 2k9, Apt. 508 1678
2021-12-20 17:55 Moscow, Marshal Rybalko St., 2k9, Apt. 508 1478
2021-10-27 12:32 Moscow, Marshal Rybalko St., 2k9, Apt. 508 547
2021-10-08 11:12 Moscow, Marshal Rybalko St., 2k9, Apt. 508 214
2021-09-16 15:23 Moscow, Marshal Rybalko St., 2k9, Apt. 508 776
2021-09-22 10:49 Moscow, Marshal Rybalko St., 2k9, Apt. 508 387
2021-09-24 13:37 Moscow, Marshal Rybalko St., 2k9, Apt. 508 387
2021-09-23 13:03 Moscow, Marshal Rybalko St., 2k9, Apt. 508 636
2021-09-23 13:13 Moscow, Marshal Rybalko St., 2k9, Apt. 508 352
2021-09-21 11:46 Moscow, Marshal Rybalko St., 2k9, Apt. 508 676
2021-06-26 09:25 Moscow, Marshal Rybalko St., 2k9, Apt. 508 595
--------------------------------------------------------------------------------
DEVICE INFORMATION / USER AGENTS:
- Mozilla/5.0 (iPhone; CPU iPhone OS 15_0_2) AppleWebKit/605.1.15 (KHTML, like Gecko)
YandexEatsKit/1.24.0 EatsApp_iOS/5.22.0
- iOS App versions: 5.16.0, 5.23.1, 5.27.1
- Mozilla/5.0 (iPhone; CPU iPhone OS 14_8) AppleWebKit/605.1.15 (KHTML, like Gecko)
YandexEatsKit/1.24.0 EatsApp_iOS/5.21.0
--------------------------------------------------------------------------------
ADDITIONAL ACCOUNTS AND INFO:
- Utair Client 2021
Passport: 4010000931
Email: fitnessstoliarov@mail.ru
- Sberbank Client 2021
Registered on 2020-04-13
- COVID Travel Pass 2021
Routes: Osenyaya 26 → Kasatkina 7
Vehicle License: Р677НЕ799
- VKontakte Profile
https://vk.com/id250900
- Avito Seller 2020
Name on Avito: Sabina
Location: Vasileostrovskaya
Listing: Toshiba laptop in good condition, needs cleaning
- Previous address (2020)
Saint Petersburg, 23rd V.O. Line, Building 28, Apt. 40
================================================================================
================================================================================
|| CLIENTS & PARKING LOGS ||
|| ALEKSEI STOLIAROV ||
================================================================================
=== Wildberries.ru Clients 2019 ===
FULL NAME : Aleksei Viktorovich Stoliarov
ADDRESS : 199106, Saint Petersburg, 23rd V.O. Line, Building 28, Apt. 40
PHONE : +7 981 728-07-68
EMAIL : stal1990@mail.ru
--------------------------------------------------------------------------------
=== Moscow Parking Records 2019 ===
PHONE : +7 981 728-07-68
LICENSE PLATE : U526UE178
ZONE ID : 03XX
PARKING TYPE : A
SPACE CODE : 305
START TIME : 20-Jan-2019 20:42:11
END TIME : 20-Jan-2019 21:42:11
DURATION : 1 hour
PAID AMOUNT : 257.33 RUB
START TIME : 20-Jan-2019 21:45:33
END TIME : 20-Jan-2019 22:45:33
PAID AMOUNT : 200.00 RUB
--------------------------------------------------------------------------------
ZONE ID : 32XX
SPACE CODE : 3219
START TIME : 14-Jan-2019 14:55:27
END TIME : 14-Jan-2019 15:55:27
PAID AMOUNT : 60.00 RUB
START TIME : 14-Jan-2019 14:55:00
END TIME : 14-Jan-2019 15:55:00
PAID AMOUNT : 60.00 RUB
--------------------------------------------------------------------------------
=== Moscow Parking Records 2018 ===
LICENSE PLATE : U526UE178
ZONE ID : 30XX
SPACE CODE : 3007
START TIME : 22-Dec-2018 10:11:20
END TIME : 22-Dec-2018 11:11:20
DURATION : 1 hour
PAID AMOUNT : 40.00 RUB
ZONE ID : 32XX
SPACE CODE : 3208
START TIME : 20-Dec-2018 16:20:00
END TIME : 20-Dec-2018 17:20:00
PAID AMOUNT : 60.00 RUB
--------------------------------------------------------------------------------
FULL NAME : Aleksei Viktorovich Stoliarov
DOB : 25-Feb-1990
ADDRESS : Moscow, Marshal Rybalko St., Building 2, Block 9, Apt. 508
PHONE : +7 981 728-07-68
LICENSE PLATE : U526UE178
--------------------------------------------------------------------------------
ZONE ID : 11XX
SPACE CODE : 1106
START TIME : 24-Nov-2018 18:12:18
END TIME : 24-Nov-2018 19:12:18
PAID AMOUNT : 125.00 RUB
START TIME : 24-Nov-2018 08:47:06
END TIME : 24-Nov-2018 09:47:06
PAID AMOUNT : 125.00 RUB
START TIME : 22-Nov-2018 08:42:00
END TIME : 22-Nov-2018 09:42:00
PAID AMOUNT : 125.00 RUB
--------------------------------------------------------------------------------
LICENSE PLATE : E270EK799
ZONE ID : 40XX
SPACE CODE : 4062
START TIME : 8-Nov-2018 13:57:00
END TIME : 8-Nov-2018 14:57:00
PAID AMOUNT : 40.00 RUB
LICENSE PLATE : U526UE178
SPACE CODE : 4037
START TIME : 25-Dec-2018 14:13:00
END TIME : 25-Dec-2018 15:13:00
PAID AMOUNT : 40.00 RUB
START TIME : 24-Dec-2018 08:52:00
END TIME : 24-Dec-2018 11:52:00
DURATION : 3 hours
PAID AMOUNT : 120.00 RUB
START TIME : 14-Dec-2018 17:04:00
END TIME : 14-Dec-2018 18:04:00
PAID AMOUNT : 40.00 RUB
--------------------------------------------------------------------------------
ZONE ID : 03XX
SPACE CODE : 303
START TIME : 16-Dec-2018 11:21:41
END TIME : 16-Dec-2018 12:21:41
PAID AMOUNT : 380.00 RUB
--------------------------------------------------------------------------------
=== Avito Users 2018 ===
CATEGORY : Transport - Parts & Accessories
LOCATION : Saint Petersburg
SELLER NAME : Aleksei Stoliarov
ITEM : Used Bridgestone Tires R17 250/50
CONDITION : Good (used one season)
INFO DATE : 2014
PHONE : +7 981 728-07-68
ADDRESS : Moscow, Marshal Rybalko St., Building 2, Block 9, Apt. 508
--------------------------------------------------------------------------------
=== More Moscow Parking 2018 Records ===
ZONE ID : 32XX
SPACE CODE : 3220
START TIME : 7-Dec-2018 15:04:06
END TIME : 7-Dec-2018 17:04:06
DURATION : 2 hours
PAID AMOUNT : 120.00 RUB
ZONE ID : 40XX
SPACE CODE : 4026
START TIME : 5-Dec-2018 14:39:08
END TIME : 5-Dec-2018 16:39:08
PAID AMOUNT : 80.00 RUB
ZONE ID : 03XX
SPACE CODE : 306
START TIME : 21-Dec-2018 09:17:00
END TIME : 21-Dec-2018 10:17:00
PAID AMOUNT : 380.00 RUB
--------------------------------------------------------------------------------
=== Moscow Resident 2017 ===
ADDRESS : 199106, RU, Saint Petersburg, 23rd V.O. Line, Building 28, Apt. 40
PHONE : +7 981 728-07-68
RECORD DATE : 16-Dec-2016
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⠀⠀⠀⠂⠀⣠⠈⠀⠃⠐⠀⠀⠀⢀⠁⠀⠈⠀⠀⠀⢀⠀⠀⠠⠀⠀⠠⠀⠀⠀⠁⣤⠈⠀⠀⠄⠀⠀⠀⠀⠀⠀⠅⠈⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠚⠀⠀⠁⠀⠀⠀⠀⠈⠁⠐⠂⠀⠂⡀⠀⠁⠀⣀⠠⠄⠀⠀⠀⠀⠀⠀⠈⠀⠰⠀⠀⠀⠈⠁⢀⠀⠉⠀⠐⠆⠁⠶⠀⠀⠉⠂⡄⠀⠀⡀⠉⠀⢠⠉⣮⣳⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣵⣛⡥⡃⡒⢤⠔⠀⠀⠀⠉⠀⠀⠀⠀⠀⡴⠄⠀⠀⢀⡥⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠁⠀⢀⣀⠈⠁⠀⠀⠀⠀⠀⠉⠈⠁⠀⠀⠛⠠⠘⢀⡀⠀⠈⠀⠀⠂⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⡀⠀⠀⠠⠄⠈⠁⠀⠄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀
⡄⠀⠁⠀⠀⡀⠐⠃⠀⠀⠀⠀⠀⠈⠉⠀⠀⠄⠀⡀⠀⠀⠀⢀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠆⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠋⢀⡀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣄⠰⠀⠀⠀⠀⠐⡄⠀⠠⠀⠀⢀⠀⠀⠀⢠⠀⠀⠀⠀⢃⠂⠀⠀⢄⣠⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣬⣀⣠⠤⠄⠀⡀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠠⠄⠀⠒⠂⠀⠉⠡⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠂⠠⠄⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠴⠂⠈⠀⠀⠄⠐⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠄⡀⠀⠀⠀⣠⠀⠂⠀⠀⣀⠀⡀⠀⠀⡀⠚⠀⠄⠀⢄⠁⣃⡀⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠠⠀⢀⠀⠈⠀⠄⠀⠀⠀⡀⠀⠠⠄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠛⠀⢀⠀⠀⠐⢀⡀⠀⠀⠀⢠⠄⠐⠀⠀⠀⠘⡀⠒⢄⡀⣒⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣂⡀⡀⠠⠇⠀⡀⠀⠀⠀⠀⠈⠄⣀⠀⠀⠀⠰⠀⠐⠀⠀⣀⠉⡉⠀⠀⢀⠀⠀⢄⢀⠀⠀⠀⠄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠠⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠠⠄⠈⠁⠀⠀⠀⠀⢠⠀⠁⠀⠀⠀⠀⠀⠀⠠⡄⠉⠀⠀⠀⠀⠄⠐⠀⠀⢠⠀⠆⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠠⠄⠀⠂⣴⠂⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢠⠀⠀⠀⢠⠀⠠⠀⢠⠀⡀⠀⠀⢀⡁⢄⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡠⠀⠃⠀⠘⠀⠀⠘⠀⠀⡀⠁⠀⠀⠀⠀⠀⠤⠄⠀⠀⠰⠰⠀⣢⡤⣓⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠤⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣂⠀
⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⡀⠤⠀⠀⠄⠠⠀⠀⠀⠆⢠⠀⠀⠀⠀⠀⠀⣠⠀⠁⠀⢦⠄⡀⠈⠀⠀⠀⠰⠁⠁⠀⠀⠐⢁⡀⠀⠀⠀⠀⠁⠀⠀⠆⠀⢀⠀⠀⠀⠉⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠤⠀⠁⠀⠂⠀⠈⠰⠐⢠⣪⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⢂⠌⠀⠀⢀⠂⠀⠀⠀⠀⠐⠀⠉⠁⠀⠀⠀⠀⠀⠋⢀⠿⡑⠅⡀⠀⠀⠈⠒⠀⠀⠀⠂⠀⠀⠁⠀⠀⠰⠂⠀⠀⠈⠉⢀⠀⡀⠁⠐⠄⠀⠤⠠⠄⠀⠀⠀⠈⠁⠀⠄⠀⢁⠀⠒⠈⢀⠘⠀⠀⠐⠀⠀⠀⠐⠀⠆
⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠠⣄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠔⠂⠈⠀⠀⠀⠀⠀⠀⢀⠬⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠖⠀⠐⠂⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢄⠀⣔⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⢀⣀⠈⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠁⠐⠀⠀⠀⠀⠘⠀⠀⠀⢀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⡄⠀⠒⠁⠀⠅⠀⠐⠠⠀⠀⠀⠀⠀⠀⠠⠀⠆⠀⠉⠀⠀⠠⠀⠀⠀⠀⠀⠄⠀⠀⠃⠀⠀
⠀⠀⠓⠀⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠁⢀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⠀⠀⠂⠀⠸⠀⠈⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⡀⠀⠀⠒⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣤⠀⠀⣄⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⢀⠀⠀⠐⠀⡀⠀⠀⡀⡀⠀⠀⠀⠀⠂⠀⠀⠀⠄⢠⠂⠀⠠⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠁⡀⠁⠘⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠀⠀⠀⠀⢀⠀⠀⠰⠀⠀⠀⠀⠀⠀⡀⠀⠀⠄⠀⠠⠀⠀⠈⠁⡰⠀⠀⠀⠀⠀⡀⠀⠠⠀⠀⠤⠀⠀⠀⠁⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠔⠈⠀⠀⠀⢰⠂⠀⠀⠀⠄⠀⠘⠁⢀⠀⠀⠀⢀⠀⠲⠒⠂⠀⠤⠀⠀⠀⠀⠀⠁⢤⠀⠀⠐⠀⠀⠐⠀⠈⠁⠀⠒⠀⠀⠨⠃⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡄⠀⠀⠀⡀⢂
⠀⠀⠀⡀⠠⡁⠀⠀⠈⠀⠀⠀⠀⠀⠄⠠⠤⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠒⠀⠀⠀⠀⢀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠈⠀⠒⠀⠀⠁⠀⠀⠀⠈⡀⢀⡀⠀⠐⠓⠀⠐⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠰⠐⡀⠱⢌⢄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⡢⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⢲⡴⠊⠀⢀⠠⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠰⠈⠀⠘⠀⠀⠀⢀⠡
⠠⠀⠀⠰⠀⠀⠀⠀⠁⠀⡀⡀⠀⠀⠀⠀⠈⠁⠈⢁⠀⠀⠀⠀⠁⠀⢀⠀⠀⠘⡀⠀⠀⠀⠈⠁⠀⠀⠥⠉⠀⠀⣌⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⡄⠀⠀⠀⠀⠀⠁⠄⠁⠀⠀⠠⣀⠈⠁⠀⠀⡀⠀⠀⠀⠀⢀⡀⠀⠄⠠⢡⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣲⠀⡀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠄⠩⠄⠤⠀⠂⠀⠀⠀⠀⠀⠡⠄⢀⡀⠀⠄⠐⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢘⠀⠀⡀⠀⠀⢀⡁⠰⠀⠀⠄⠈⢠
⡈⠓⠀⠂⠀⠀⠀⠂⠀⠀⠀⠀⠐⠀⠀⠀⠰⠆⠀⠀⠀⠀⠠⠀⠀⠀⠀⣀⠀⠀⠐⠀⠀⠒⠀⠀⠀⠀⠠⠀⠀⠀⠀⠁⡀⠀⠘⠃⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠙⠀⠀⠀⣁⠀⠀⠀⡈⠁⠀⠸⠀⠀⠈⠁⠀⠨⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣕⠔⠈⠀⠀⠀⠀⠀⢀⠰⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⣐⠒⠀⠀⠀⠠⠄⠠⠄⠀⠀⠀⠀⠀⠐⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠘⠂⠀⠀⠀⠀⠀⠀⢠⠀⠐⠀⠀⠈
⠄⠐⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠀⠀⠂⠀⠀⠀⠘⠂⢠⠈⠀⠀⠀⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠒⠀⢠⠘⠈⠀⠀⠀⠀⠐⠀⠘⠁⠄⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠒⠰⠀⠀⠀⠀⡄⠀⠀⠄⠀⠈⡌⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢀⠀⠈⠀⠠⠀⠦⠤
⠐⠂⠀⠀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢠⠐⠀⠀⠔⠂⠀⠀⠄⠀⠡⠄⡀⠀⡀⡇⠀⠀⡤⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⢀⠀⠀⠁⠀⠀⠢⠀⠀⢀⠄⢐⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠠⡀⠀⡀⠀⠀⠀⠈⠀⠈⠂⠀⣀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢉⡁⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠘⢀⡀⠀⠈⠀⠀⠈⠐⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀
⠆⠀⣀⡁⠀⡰⠀⠀⠄⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⡈⢁⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠁⡀⠐⠀⠀⠀⠀⠀⠃⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠁⠀⠃⠀⠀⢀⡈⠀⠀⢀⠀⠀⠀⠀⠀⠀⡀⢠⡠⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡥⡣⠀⡁⠈⡀⠀⡄⠀⠀⠦⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⡀⠀⠈⠑⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠀⠡⠀⡄⠂⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⠘⠂⠤⠈⠁⠀⠀⠀⠠⠀⠆⠀⠀⠀⠰⠀⠡⢠⡀⠂⠀⠠⠆⢠⢦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡕⡌⠀⠸⢨⢿⣿⣆⠣⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠂⠘⠀⠀⠀⠀⠁⡀⠀⠘⠀⠀⠀⠀⠁⠀⠀⠀⢀⠐⠀⠂⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠲⠂⠀⠀⠀⢁⠀⠀⠁⠀⠀⠀⠀⠒⠀⠀⠀⠐⠂⠀⠀⠂⠀⠀⠀⣄⡆⠀⠀⠀⠀⠁⠀⠀⠀⠂⠀⠀⠐⠀⠀⠀⠀⠀⡀⠰⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠦⠀⠀⠀⠀⠁⠀⠠⠀⠀⠀⠀⠀⠈⠈⠀⠁⠀⠀⠰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⢂⠌⠁⢀⠀⠀⠁⠀⠀⠀⢀⠀⠀⠀⠁⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⣈⠀⠀⠥⠀⠀⠀⢁⠀⠀⠀⠐⠀
⠠⠀⠀⠀⠀⠦⠄⠀⡀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠁⠀⠀⠀⠀⠀⠄⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⠣⠄⠀⠀⠄⠈⠀⠀⠡⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⠀⠀⠒⠀⠀⠀⠀⠀⢀⠀⡠⠄⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡮⠀⠀⠀⢀⠈⠀⠀⠀⠀⠈⢀⡄⠀⠤⠄⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⠀⠠⠀⠀⠀⠀⠀⠀⠁⠸⠀⠂⠀⡀⠀⠀⠀⠤⠀⠀⠐
⠀⠠⠀⠠⠀⠈⠤⠃⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠐⠀⠀⠀⠁⠠⠀⠀⠔⠂⠠⡄⢀⠀⠀⠀⠀⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠄⠄⠀⠀⠀⠈⠁⠘⠀⠐⠀⠈⠀⠀⠀⠀⠉⠀⣄⠀⠈⠀⠠⠀⣀⢢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠠⠀⠀⠠⠀⢀⠀⠀⠀⢰⠄⠀⠀⠀⠀⠀⠈⠻⠂⢠⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠂⠀⠀⠈⠀⠀⠁⠗⢀
⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢀⠀⠦⣄⠐⠉⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠃⠀⠂⠀⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠃⠀⡁⠀⣤⠉⢠⠐⠀⠐⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⣀⡘⠦⠀⠙⠂⠀⡀⠈⠀⠈⠁⠀⠀⠀⢀⠀⠀⠀⠀⢀⠀⠘⠂⠀⠀⠱⠂⠀⠀⠀⠀⠀⠃⠀⠀⠆⠁⠀⠀⠁⠰⠓⠂⠀⠀⠀⠀⠁⠀⠀⠀⠀⠒⠀⠀⠈
⠀⠉⠀⠄⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⡄⠀⠐⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠘⠃⠀⠀⠅⠐⢂⠀⡄⠠⠀⢀⡀⠀⠐⠂⠀⢐⠉⠀⠀⠀⠀⠢⡔⣄⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠄⠀⢀⠀⠀⠀⠀⠈⠀⠀⠀⠒⠂⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢊⡌⠀⠁⠀⠀⢀⠀⠠⣀⠀⠃⠒⠂⠀⠀⠀
⠠⠀⠀⠀⠀⢀⠀⠀⠁⠀⠘⠀⠀⠀⠀⠘⠃⢀⡄⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠃⠀⠀⠀⠀⡀⠀⠀⠀⠐⠀⠀⠀⠀⠁⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠁⢊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⢛⠛⠛⡛⠛⠋⠛⠛⠛⠿⢫⡫⠩⠿⠟⠟⠛⠻⠻⠛⠛⠻⠛⠛⠛⠛⢛⠛⠛⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠡⠀⠀⠀⠀⠀⠀⠀⠤⠄⠀⠀⠰⠄⢤⠀⠀⠁⠀⠀⠈⠀⠀⠘⠀⠓⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⠀⠀⠀⠀⠀⠈⠀⠤⠈⠀⠀⠀⠀⠀⢀⠀
⠀⠀⠀⠀⠀⠠⠀⡀⠁⡀⠐⠀⠀⠀⠂⠀⠀⠀⠁⠐⠀⠀⠄⠀⠀⠇⡄⠐⠀⠀⠀⠐⣄⠀⠠⠄⠀⠀⠰⠀⠀⠀⠂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠈⠀⠂⠀⠀⢀⠀⠀⠐⡰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠫⠉⠍⠃⠩⠍⠢⠉⠁⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠙⠁⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣤⠀⠀⠉⠀⢠⠀⠀⠊⠀⠀⠀⠀⠀⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠁⠀⠀⡀⠀⠀⠀⠀⠀
⠀⠀⠁⡀⠀⠈⠀⠀⠂⠀⠀⠀⠀⣠⠑⠓⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠁⠀⠀⠀⠠⠀⠀⠅⠠⠄⠀⠀⠀⠀⠀⠀⠀⢀⢐⠀⠂⠂⠀⠐⠀⠀⠀⠐⢀⠀⠀⠀⠈⠉⠠⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⡀⠀⠁⠰⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⢀⠀⠐⠀⠀⡀⠰⠀⡀⠈⠐⠀⠀⠀⡔⡉⣰⣴⣦⡠⠠⠢⠀⠄⠐⠀⠀⢀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠀⠆⠀⠉⠀⠀⠀⠀⠀⠖⠑⠀⠀⠀⡀⠀⠤⠄⠀⡀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠲⠐⠂⠈⠀⠀⠒⠀⠀⠂⡈⠁⠀⠀⠠⠄⠀⠀⠀⠆⢁⠀⠀⠀⠀⠀
⠀⠀⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⠀⠨⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠐⠀⠒⠀⠂⠀⠖⠀⠀⠀⠀⠀⠀⠒⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⡀⠀⠰⠀⠉⠀⠀⠠⠀⠀⠬⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠤⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠠⠃⠂⢠⢀⢄⢄⣀⣀⣀⣁⣀⡨⠐⢬⣾⣿⣿⡏⠠⠖⠀⠀⡀⠀⠀⠀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⠀⠀⠀⠒⠀⠠⠀⠀⠀⡀⠀⡀⠀⠠⠂⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⠀⠀⠐⠀⠀⠁⠀⠀⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⢀⠀⠉⠀⠀⢄⡁⢀⡀⠀⠀⠀⠀⠀⢀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠈⠡⠄⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⢠⢀⡀⠠⠀⠤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢀⠀⠁⠀⠀⠀⠀⠈⣞⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢓⡀⠐⠀⠄⡀⠀⣀⠀⢘⢨⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡠⠔⠂⠈⡀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠤⠜⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⢇
⠀⠀⠀⠂⠀⠈⠀⠀⠈⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⠀⠈⠀⠀⠀⠈⠁⠈⠡⢀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠠⢆⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠑⢑⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠊⣢⣾⣿⣿⣿⠿⠿⡛⢟⠟⡛⢛⡿⢿⣿⣟⠥⠃⠇⠀⠁⠀⠀⠀⠀⠀⢨⠌⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡮⡄⡁⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠤⠈⠁⡄⢉⡀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠉⠁⠀⠂⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⡄⠛⠃⠀⠒⠠⠀⠀⠃⠀⠀⠂⠀⠀⠄⠀⠀⠀⠤⠠⠀⠀⠒⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢢⠀⠀⠀⠒⠂⠂⠀⠂⠀⠀⢀⢂⢅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣀⠒⠀⠀⢀⡀⠠⠀⠀⣀⡀⠀⠠⠄⠀⠀⠀⢂⢬⣾⣿⣿⡿⠫⣓⡅⡄⣨⣶⣷⣶⣦⣦⡎⢍⠌⠂⠁⠂⠀⠂⠄⠀⠐⠀⣀⠈⠊⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠒⠀⠀⠌⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠉⠀⢄⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⠐⠂⠀⠀⠰⠆⠀⡀⠘⠧⠀⠀⢀⡅⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠂⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡅⠆⠀⠀⠀⠈⠠⠀⠀⡉⡀⠀⡀⢀⡀⠈⡒⣹⣿⣿⣿⡟⢭⠒⠐⣾⣿⣿⣿⡿⠿⣿⣿⣿⣷⣤⣒⡀⡀⠀⠈⠀⣀⠠⠀⠐⢐⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠒⠈⢉⡐⢂⡀⠁⠉⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠂⠀⠐⢁⠈⠀⠀⠀⢀⠀⠀⣶⠀⠀⠀⠀⡀⠀⠌⠀⠀⣀
⠀⠀⠀⠐⣤⠀⠀⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⡀⢀⣀⠀⠀⠀⠀⠁⠀⠀⠀⠂⠀⠀⠈⢣⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠄⠀⠀⠀⠀⢀⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠂⢤⡈⠀⠀⠀⢁⡴⠘⣁⣤⣐⣺⣤⣵⣿⣿⣿⣿⣷⣾⣶⣾⣿⣿⣿⣷⣾⣿⣶⣾⣿⣿⣿⣷⣷⣷⣾⣷⣶⣶⣯⣤⣤⣥⣬⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⡄⠛⠀⠀⠀⠠⠀⠀⠀⠀⢀⠀⠒⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠈⠁⠀⠄⠀⠀⠀⠀⠀
⠀⡂⠀⠈⠀⠁⠠⠀⠙⠊⡀⠄⠀⠀⠀⠉⠀⠤⠌⡔⠀⠀⠀⠀⠠⣤⠀⠀⠒⠀⣂⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠂⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠁⠆⠀⠀⠀⠀⠒⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⡴⡆⢡⣠⣐⣤⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠂⢁⡈⠀⠁⠀⠀⠀⠐⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠂⠀⠀⠀⠒⠘⠀⠈⠀⠐⣀⠀⠀⣈⠄⠀⠈⠀⠀⠈⠁⠀⠀⢂⠀
⠌⠑⠀⠀⠀⠈⠀⠀⠉⠁⠁⠀⠄⠐⠀⠀⠘⠳⠂⠀⡀⠀⠀⠀⠀⡀⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠂⠁⠠⠀⠀⠀⠀⠀⠀⠘⠀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⠟⣻⣿⣿⡟⣋⢍⢹⣿⣿⣿⣽⣾⣿⡿⡻⣺⣿⣿⣿⠊⠕⠛⠀⠒⣒⠂⠉⠉⠁⢘⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⠁⠠⠁⠀⠀⣠⠀⠌⠀⢠⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠠⠀⠘⠀⠓⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠀⢀⡀⠈⠀
⡂⠀⠀⠀⢀⠠⢀⡀⠀⠄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢀⡁⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡗⠀⠀⠀⠀⠀⠂⢠⠀⠘⠀⠄⠀⠀⠂⠀⠄⢀⠈⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⣿⠿⡿⠟⠛⡛⠉⠉⠜⡂⡲⣜⣽⣿⣿⡟⡶⡸⣿⣿⣿⣗⠕⣅⠚⠿⣿⣿⡿⢛⠥⣪⣿⣿⣿⠣⠈⢄⠀⠀⠀⠀⢀⠀⠀⠰⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡀⢈⠁⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠠⠄⠀⠠⠞⠃⠀⠀⡈⠀⠀⠀⠀⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁
⠄⠀⠀⠀⠉⡄⢠⠄⠀⠀⠀⠈⠀⠀⠐⠀⠀⠀⠀⠀⠤⠄⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣥⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠑⣹⣿⣿⣟⣒⣘⣂⣸⣿⣿⣿⣿⣔⣣⣔⣕⣒⣥⣼⣿⣿⣿⣟⠧⠀⠀⠀⠀⠀⠀⠀⠠⠆⣈⠈⠀⢸⢸⣿⣿⣿⣿⣿⣿⣿⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠤⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠀⠈⠀⡄⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⡀⠰⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⠄⠀⣀⠀⠄⠀⠀⠀⠁⠀⠀⡀⠀⡄⠀⠐⠀⠧⠀⠉⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠅⠀⡀⠀⠀⠐⠀⠀⠀⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠋⠅⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⢰⠀⠸⢸⣿⣿⣿⣿⣿⣿⣏⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⢠⠂⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⢠⠂⠠⠀⠐⠂⠀⠀⠀⠐⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⢠
⣒⠀⠄⠀⠀⡀⠀⠀⠀⠰⠀⠀⠀⢀⠂⠀⠀⠀⠀⢀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⡘⠂⠀⠨⠀⠀⠀⠐⠀⠠⢈⣄⠡⠀⠀⠀⠈⠁⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢦⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⡛⠛⠛⠛⠛⠟⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠩⠉⢹⠩⠒⠌⠁⡀⠀⠀⠀⠀⠀⠈⢠⡄⠀⠀⠠⡀⠰⢀⢸⣿⣿⣿⣿⣿⣿⠏⡉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠢⠐⠀⢀⠄⠀⠀⠐⠠⠀⠀⠀⠀⠀⠆⠀⠀⠀⢀⠠⠀⠀⠐⠀⠀⢀⡅⠄⠀⠂⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⡀⠃⠀⠃⠀⠐⠂⡈⠀⠂⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠄⠀⠀⠘⠀⠒⠀⠀⠁⢆⠀⠀⠀⠀⠀⠀⠑⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢐⠁⠀⠀⠂⠐⠂⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠐⠄⢀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠸⢸⣿⣿⣿⣿⣿⣿⠎⠡⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠐⠀⠀⠈⠑⠀⠈⠁⠀⠀⠞⠀⠀⢀⠀⠀⠁⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠄⠐⠀⠄⠀⠀⡁⠀⠀⠀⠀⠀⠀⣀⠀⠀⠃⠀⠀⠘⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠁⠈⠠⠤⠶⠀⠄⢰⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⠈⠀⠀⠀⠀⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢨⠂⠀⠠⠆⠀⠈⠈⠀⠀⠀⠀⠢⠅⠀⠀⠁⠀⣀⠀⠀⠀⢀⢠⠄⠰⠄⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⣠⠀⠂⠉⠀⠀⠀⠀⠀⠀⠈⠐⠀⢘⢸⣿⣿⣿⣿⣿⣿⡠⠎⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⢠⠀⠀⠁⠀⠀⠁⢀⡀⢀⡀⢠⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡁⠀⠈⠀⠨⠀⠀⠀⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢁⠀⡀⠀⠀⠁⠀⠀⠀⠀⢀⡀⠁⠀⠀⠀⠁⠀⠠⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢍⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠀⡃⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠐⠀⠀⠠⠔⠈⠀⡀⠠⠀⠀⠤⠄⠣⠀⠀⠀⠀⠠⠀⠉⢀⠀⠀⠈⠠⢠⢸⣿⣿⣿⣿⣿⡇⠀⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠃⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠈⠠⠀⠀⠀⢀⠀⠀⠀⡉⠀⠀⠀⠀⠀⠀⡀⠀⠠⠀⠀⠈⠀⠀⡒⠀⢀⡀⠠⠀
⠀⠀⠀⠀⢀⠈⠠⠀⠆⡀⠀⠀⠀⠀⠠⠈⠀⠀⠀⠠⠰⠀⠀⠀⠀⡄⠀⠀⢀⠀⠐⠀⡀⠠⠨⠁⠀⠀⢀⢠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⢆⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠱⠀⠀⠀⣀⠀⠀⠀⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠁⢀⠀⠀⠀⠀⠂⠐⠂⠀⠀⠰⠀⠀⢈⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠙⠌⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠂⠒⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠰⠀⠀⠀⡀⠀⠃⠀⠀⠀⢀⡄
⠁⠚⠀⠀⠀⠀⠀⠈⠁⠀⡀⠒⠀⠈⠀⠀⠈⡀⠁⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠘⠁⠀⠤⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠁⠐⠀⠤⢀⠂⢁⠠⠠⢒⠨⠄⠀⠀⡀⠠⠄⢊⣠⣔⣦⣤⣦⣥⣤⣤⣤⣭⣤⣤⣤⣤⣭⣬⣤⣤⣦⣶⡢⣤⣼⣴⣙⣀⣄⣤⣀⣸⣿⣿⣿⣿⡿⠈⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠐⢀⠐⠂⠈⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠠⡀⠄⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠈⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠑⠂⠀⠀⡈⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣷⣐⣂⣐⣦⣤⣴⣶⣷⠾⠷⣶⣾⣿⣛⣛⣓⣠⣬⣭⣤⣬⣬⣿⣿⣿⣿⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣷⣯⣭⣭⣭⣿⣿⣟⣛⣻⣿⣿⣿⣿⢷⣷⣶⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⡀⠁⠈⠀⠂⠀⠀⣄⣀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠐⠒⠐⠂⠀⠀⠂⠀⠀⠀⢀⠀⢠⠐⠀⠀
⠀⠀⠀⠀⢀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠴⠀⠀⠈⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⣀⠀⠀⠂⠀⠴⠀⠀⡔⠀⠀⠀⠀⠀⠁⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣽⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠀⡀⠀⠤⠄⠀⠀⠈⠁⠙⢀⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⠀⢉⠂⠀⠁⠀⣀⡘⠀⠀⡀⠀⠀⠁⠀⠀⠀⠂⠄⢀⠀⡀⠀⢀⡀⠀⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⠠⡃⠀⠀⠃⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠠⠄⠀⠀⠈⠡⠄⠀⠐⠀⣀⠀⠀⠀⠀⠀⠀⠀⠤⡆⠀⠀⠀⠀⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠉⠀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠠⠄⠁⠀⠀⠀⠀⣤⠀⠀⢀⢀⠀⠆⠀⠰⠀⠀⠀⠀⠀⣤⠀⠀⢀⠀⠀⠁⠀⠀⠀⠀⠀⠄⠀⠀⡀⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⢠⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠀⠀⠀⢈⣀⠠⠔⠀⠀⠀⠀⣐⠀⠀⠀⠀⠁⠁⠀⠀⠀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠲⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘
⠀⠀⠀⠠⠤⠄⠀⠀⢈⠁⠀⠉⠁⠀⡁⠀⠠⠀⠈⠁⠂⠁⠈⠁⠀⠈⠀⠀⠐⠀⠠⠄⠀⠀⠀⠀⠀⠀⠈⠐⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⢀⠂⠀⠀⠐⠀⠂⠀⠄⠈⠠⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⠿⠟⠿⠿⠿⠛⠛⠛⠛⠛⠛⠉⠋⠩⠉⠩⠭⠑⠐⡌⢩⠨⢉⢿⣟⠙⠉⠁⠀⠩⠀⠉⠀⠀⠀⠀⠈⠍⠉⠉⠁⠝⢙⠭⠋⡋⣿⣿⣿⣏⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⢐⠀⠨⠄⠄⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠⠴⠀⠂⠠⠄⠀⠀⠀⠀⠀⠄⠠⠀⠀⢰⠄⠘⠠⠀⠄⡄⠀⠀⠀⠂⢨
⡉⠀⠀⠀⠀⠠⢀⢀⡀⠐⠀⠀⠀⠀⠀⠠⠄⠀⣀⠡⠀⠀⠄⠀⠀⢠⢈⡀⢀⠀⡄⠀⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⠂⢸⠀⠄⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⡖⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡻⣿⣿⣿⣿⡏⢆⣘⠡⠌⡁⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠚⢐⡀⠀⠀⠀⠂⠀⠀⠀⠀⢀⠁⢽⣿⢤⢨⡬⠖⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡩⣔⣤⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠒⠨⠤⠀⠀⠄⠀⠁⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠈⣀⡤⠀⠠⠍
⠀⠁⠐⠂⠄⠠⠈⣠⠁⣀⠀⠚⠃⠀⠀⠀⠀⠀⠀⠀⠒⠄⠀⠠⠄⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠤⠄⠀⠠⠀⠐⠂⠀⠀⡄⠀⠠⠀⠈⠀⠀⠀⠀⠂⠈⠀⠀⠁⠀⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣑⡲⢸⣿⣿⣿⡇⡐⡀⣠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠤⠀⠀⠀⠀⢀⡀⠀⣀⠀⠀⣀⣷⢨⣾⢏⠃⠂⠲⠀⠀⠀⠀⡀⠸⣀⣥⣴⣶⣿⣿⣿⣿⢿⣿⣿⣟⣛⢋⠩⠙⠪⠬⢰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡐⡀⠀⠀⠀⠀⠘⠃⠀⠁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠐⠲⠆⢀⡀⠐⠀⠀⠐⠃⣀⡀⠀⠀⠀⠀⠀
⠖⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠂⠀⠀⠀⠁⢤⠀⠒⠀⠀⠀⠀⠀⠀⢀⡄⠉⠀⠀⠀⠀⠀⠂⠀⠁⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⢀⡀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣭⣴⣦⣂⡒⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⠇⣿⣿⣾⡏⠈⠑⠁⠀⠀⢈⡄⣢⣼⣿⣿⣿⣿⠿⡛⠯⢛⠧⢺⣿⣿⡏⡈⠀⢀⠀⠀⠈⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢈⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠀⡀⠀⠀⠀⠀⠠⠀⢈⡁⠀⠀⠀⠀⠀⠚⠁⠀⠀⠀⠐⠀⠔⢂⡈⠁⠁⠤⠀
⠀⠀⠠⠀⠂⠀⠀⠀⠀⠀⠀⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠘⠀⠄⠀⠀⣀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠤⠉⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠄⠀⠀⠀⠀⠰⠀⢀⠀⡀⠀⠔⡦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡛⢛⠛⠛⢻⣿⣿⣿⣛⠿⠿⣿⠿⠿⣿⣿⡿⣿⣾⣦⡁⠀⠀⠀⠀⢀⢠⠌⠁⠀⢠⡼⠀⠀⠄⠄⣿⣿⣛⢗⠐⠂⠀⠃⠴⢸⣾⢿⠻⠫⠉⠔⠂⠨⠀⢐⡀⢩⢺⣿⣿⡠⢠⠀⠄⠀⣀⣀⣡⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠸⠈⠀⠁⢠⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠄⠃⠀⠆⠀⠀⠀⠆⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠄⠀⠁⣀⠀⠀⠢⠀⠁⠤⠀⠂⠀⠐
⠀⠀⠀⠉⠉⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⢀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠉⠈⠁⠀⠁⠀⠀⠀⠀⠀⠀⠈⠉⡠⠄⠁⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⡂⠬⣉⢻⣿⣿⣿⣇⣛⠇⢃⡉⠀⢠⢂⠭⠦⠄⣒⡁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠸⣿⣿⠣⠀⠀⠠⢃⠨⠣⡒⠰⠀⠀⠀⠀⠀⠀⠀⠎⣐⣕⣿⣿⣷⣶⠶⠿⡿⠛⣛⢛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠡⠀⠀⠓⠤⠀⠀⠀⠀⠛⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠁⠀⠐⡀⠀⠀⠀⠀⠀⠀⢀⠁⠈⠀⠀⠀⠀
⠀⠀⠉⠀⠀⠠⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠈⠃⢄⡀⠀⠀⠈⠁⠀⠁⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠁⠀⠲⠀⡀⠀⠀⠐⠀⠀⠀⠀⠀⡀⠀⠀⠈⠀⠀⠀⠀⠂⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢿⡿⠿⣛⠻⢿⣿⣿⡟⠛⣻⠿⣶⣥⣤⣐⢌⠤⠟⠀⠀⠀⠀⠀⠀⠂⡒⠀⠀⠀⢀⡀⠀⠀⠀⠀⡀⠉⠫⠄⡪⢈⣠⡿⠃⡈⠀⠒⠀⠀⠀⣑⢡⣡⣼⠾⠟⠋⣿⡿⠖⣁⣀⣪⣵⣤⣤⣤⣽⣼⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠠⠀⣀⠀⠀⠀⠠⠀⠠⠀⠆⠀⠀⠁⠀⠀⠄⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⢀
⠁⠠⠀⠀⠀⠄⠀⠀⠀⠀⠀⠄⠠⠄⠠⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⣘⠁⠐⠀⠀⠐⠠⠄⠀⠄⠀⠃⢀⠂⠀⠀⠂⠀⠒⠄⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠈⠁⠀⠀⠀⠀⠐⠂⠀⠀⠀⠊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣂⣐⣵⣾⣽⣿⣿⣿⣇⢖⡐⢋⠢⡊⠉⠛⠛⠃⠠⠁⠀⠐⠄⠀⠀⠠⠀⠀⠀⠀⠈⡁⠑⠀⠑⠂⠀⠀⠀⠈⢐⣱⡿⡃⠀⢊⡁⠠⠁⠼⢣⡾⠟⡩⢍⡫⣩⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⢁⡀⠀⠀⠀⠀⢀⠀⠠⠀⠀⡀⠘⠀⠘⠀⠀⠀⠀⠀⠀⠂⠀⠒⠀⠀⠀⠉⠀⠀⠀⠀⠁⠀⠂⠀⠀⠠⠀⠀⠀⠠⠀⠀⠓⠠⠅⠂⠀⠀⠀⠂⠈
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠂⠀⣠⠰⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⠀⠀⠀⠐⠀⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⣺⡕⢤⠄⡈⢀⠀⡀⠀⠂⢀⡰⠄⠒⡆⠰⠆⠀⠡⠀⢤⠀⠀⠀⠀⠀⠀⣴⡟⠎⢠⢞⣣⡇⠏⡄⠀⠢⠐⢉⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⠀⠀⠀⠓⠀⠠⠀⡀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⠀⠈⠃⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⠆⠀⢀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⠀⠀⠈⠀⠈⠀⠀⠀⣀⠀⠀⠂⢠⠀⠀⠠⠄⠀⠀⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠰⠀⠃⢀⠀⠀⠀⠄⠀⣀⠀⠤⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣔⡢⢆⢬⠁⠀⠀⠹⣿⢑⠀⠀⠀⠀⠀⠰⠂⠀⠁⠃⠈⢀⠘⢠⣟⠡⡉⠕⣱⡟⠸⠨⠀⠀⠀⡱⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡭⠀⠀⠀⠀⢀⡄⠉⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠠⠀⠈⠀⠀⠀⠀⢀⠠⠀⠀⡌⠀⠀⠀⠀⠀
⠄⠐⡀⠐⠂⠀⠀⠀⠀⠀⠀⡄⠒⠈⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⡄⠈⠀⠂⠀⠀⠉⠂⢠⠀⠒⠆⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠒⠀⠀⠀⢀⠀⠁⠀⠀⡀⠒⢀⠈⠁⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠻⢛⠣⢒⠠⠄⠀⠐⣿⡗⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢸⣿⠈⠢⣱⣿⠑⠂⠀⠀⠀⠀⢀⠪⢛⡛⠋⠩⠟⠈⢛⣋⠉⠉⠉⠉⠉⠉⠉⢿⣿⣿⣿⣿⡿⠿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢂⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀⠀⠀⠴⠈⣀⡀⠀⡤⠀⠀⠐⠂⠐⠻⠎⠀⠚⢀⠁⠀⠀⠀⠀⠁⠀⠀⠠⠀⠂⠀⠀⠀⠁⠉⠐⢀⠀⡀⠀⠀⡀⠀⠀
⠀⠈⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠰⢠⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠐⠀⢠⠀⠀⠀⠀⠚⠂⠀⡀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠄⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢟⣿⣿⠻⡛⠛⠻⠋⠍⠉⠂⠄⠀⠀⠂⠠⠜⢿⡇⠀⠀⠀⠁⠀⠀⠀⠐⠂⠄⠀⠀⢀⢸⣿⠀⢀⠜⢿⠀⢠⠄⠀⢀⡀⠈⠐⠠⠤⠀⠠⠈⠀⠀⠀⠀⠀⠀⡀⠁⠀⡚⢸⣿⣿⣿⣿⠅⠚⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡒⠐⠂⢀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⡄⠀⠀⠀⠠⠁⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠴⠀⠈⠄⠀⠀⠀⠀⠄⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠃⠂⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⡠⠄⠀⠠⠐⡀⢣⠩⢻⣿⣇⠀⠠⠈⢡⠀⠆⠠⠀⠀⡴⠀⠁⢐⡷⡐⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠸⢸⣟⠌⡖⠀⢻⣏⠊⢘⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⠄⠀⠀⠀⠀⡀⠀⠀⠁⢹⣿⣿⣿⡿⡓⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠂⠀⠀⠤⠀⠀⡀⢀⡄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠀⠀⢠⡀⠀⠀⠀⠀⠀⣀⣀⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠆⠀⠀⠀⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠀⠈⠀⠀⠀⡀⠂⢯⣿⣿⠁⠀⡄⠀⠈⢀⠀⠀⠀⠂⠔⣰⡿⠋⢂⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡇⠀⠀⠆⡃⢽⣯⣈⠂⠀⠀⠃⠴⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢸⣿⣿⣿⢟⠸⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠌⠄⠀⠀⠈⢠⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠐⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⢡⠀⡍⠀⠀⠈⠠⠀⡀⠀⠐⠒⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠀⠀⠂⠀⠀⠀⠘⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠒⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠣⠊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⠣⠀⠠⠓⠀⠈⠙⣿⡏⠀⠀⠀⠀⠈⢐⠤⠀⡀⣴⣟⠉⠑⠀⠠⠀⠀⠀⠀⣒⠀⠀⠲⠀⠀⢠⢸⣿⡇⠀⠀⠑⠈⠀⢜⣷⣤⢀⠠⠀⠀⠀⠄⠀⠄⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⡟⢌⠴⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠉⠂⠐⠒⠀⠐⠐⠂⠀⠄⠄⠀⠀⣀⠀⠀⠀⠠⠀⠀⠀⠀⢃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠉⠀⠀⠒⠁⠀⠀⠠⠀⠀⠀⠠⠀⠀⠀⠀⠀⠒
⠀⡀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠰⠀⠀⠀⠰⠀⠀⠁⠀⠀⠀⠐⠂⠀⠀⠀⠀⠙⠃⠰⠀⠈⠀⠂⠀⠠⠄⠀⠀⠀⠀⠀⠀⠒⠠⠀⠀⠀⠀⠈⠀⠀⠀⢀⢀⠄⠀⠀⠀⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⢹⣿⠀⠄⠀⠀⡀⠀⢀⢤⣾⠩⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠠⠰⣿⡇⢶⠀⠀⠀⠦⠪⢪⢿⣭⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠊⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⡄⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⠀⡀⠀⣠⠑⠀⡀⠀⠀⠀⡀⠀⠀⠤⠈⠀⠀⠀⠐⠠⠀⠀⠀⡀⠐⠀⠀⠀⢀⠀⠀⠀⠀⠀
⠆⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠤⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠠⠄⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢄⠀⠀⠀⢱⣦⠁⠀⠀⠀⡁⢿⣧⠀⡄⠀⠄⠀⣵⡿⠑⠀⠠⠀⠀⡀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠆⠀⠀⠂⣿⡇⠇⠀⠀⠀⠀⠀⠀⠠⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣳⣿⣿⡿⠠⠀⠀⢰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⡒⠠⠀⠀⠀⠂⠐⠀⠀⢀⠒⠀⡈⠈⣀⠀⠀⠤⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀
⠌⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⡂⠀⡀⠀⠀⠀⠀⠉⢰⠀⠀⠁⠀⠀⠀⠁⠀⠀⠠⠆⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠁⡘⣿⡆⡄⠀⠁⢨⡘⠿⠧⠤⡒⠐⣴⢟⠎⡀⠆⠀⠈⠠⡅⠂⠀⠀⠀⠁⠊⠀⠐⠀⠀⠓⠄⠀⠻⠇⡖⡀⠀⠂⠀⠀⠀⠠⠁⣻⣦⢄⢄⠀⣐⠀⡐⠀⠀⠠⠀⠀⠐⠀⠄⢘⢹⣿⣿⠇⠈⠈⠀⠰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⠀⠁⠀⠉⠂⠀⠀⠀⠀⠈⠁⠈⠄⠀⠀⠀⠀⣀⠀⠈⠀⠀⠈⠠⠀⠉⠁⠀⠀⠀⠐⣀⡀⠀⠀⠀⠐⠀⠈⠑⢠⠀⠃⠀⠀⠄⠉⠁⠉⠀⠀⠀⠀⠀⠂⠀
⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠄⠀⡄⠀⠀⠀⡀⠀⠐⠀⠀⠆⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠙⠃⠀⢀⠠⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠁⠄⠀⠀⠀⠀⢀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡈⠄⠀⠀⢂⢻⡇⡄⠁⠀⠁⠈⠂⠥⢒⠐⣾⠟⢑⣁⠢⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⡄⠀⠀⠀⠰⠀⠉⠁⠀⠁⡑⠀⠀⠀⠀⠤⠀⡜⠴⠐⣹⣷⣄⠀⢠⠠⠀⠀⠀⠀⠰⠀⠀⣀⠰⠈⣾⣿⡿⡁⠀⠀⢁⠸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢌⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠂⠀⠀⠀⠀⠀⢈⡁⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⣀
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⣵⡀⠀⠀⠴⠆⠀⠐⠀⢥⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⢀⠀⠀⠀⣀⠀⠀⠀⠂⠀⡁⠀⠀⢠⠀⠀⠀⠤⠈⣀⠀⠈⠀⠀⠀⠀⠀⠅⠉⠄⠀⠀⠈⠀⠀⠈⢀⡀⠠⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡾⣿⣿⣿⣿⣿⣿⡴⠀⠐⠀⡈⢸⣷⢀⠀⠀⠀⠀⠌⠐⣣⣿⠋⠀⠠⠀⡆⢨⡀⣠⠀⠀⡤⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⡀⠁⠆⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡂⡽⣷⡥⣆⢀⠒⡠⠆⠀⠠⠀⢀⡈⠀⢦⣿⣿⠓⢠⠀⠀⢀⠊⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠪⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢈⠀⠀⠀⠀⢀⡀⠀⠀⡄⠀⡀⠀⠀⠀⠀⠂⠐⠂⠀⠀⠀⠀⣀⢀⠀⡀⠀⠀⠀⢤⠀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢈⠀⠉
⡀⠀⠈⠁⠀⠆⠀⠀⠁⠀⠀⠌⠁⠒⠀⠀⠄⠀⠀⢁⠀⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⠉⠀⠀⠀⠉⠀⠀⠀⠘⠀⠂⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡗⣻⣿⣿⣿⣿⣿⡧⠀⠀⠀⢐⢸⣿⢀⢴⣶⢠⠀⣔⢽⡿⠣⠁⠘⠣⠁⠂⠇⠈⠀⠀⠀⠀⠈⠀⠀⠀⠐⠀⠀⠁⠀⠀⠀⠈⢁⠀⠀⠀⠀⠨⠀⠘⠃⠀⠀⠀⠀⠡⣽⣷⡈⠀⠀⠀⠀⠀⠈⠀⠈⠠⠜⣸⣿⣿⡇⠁⢀⠀⢦⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡠⠈⠀⠀⠀⢠⠀⠀⠀⠀⠀⠡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⡀⠀⠀⠀⠤⠠⠄⠀⠀⠂⠀⠁⠀⠈⠁⠀⠀⠀
⠁⠀⠀⢠⠀⠐⠀⠀⠃⠀⠀⡀⠄⠀⠠⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣄⠠⠀⡀⡀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠊⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⢥⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡘⡟⣿⣿⣿⣿⣿⡇⠀⠀⠀⠇⢸⡇⠌⣿⠏⢂⠀⣱⡿⡑⠁⠈⠈⠀⠶⠀⠁⠀⠀⠀⠀⠄⠁⠀⠀⠀⡐⠂⠀⠀⠄⠚⠀⠣⠌⠄⠀⠀⠀⢀⠁⠃⠀⠀⠀⠠⢀⡐⠀⠘⣷⡀⠀⠐⠀⠀⠀⠀⠀⠀⠀⣿⡿⠿⠗⠄⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠐⠗⠀⠐⠀⠀⠠⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢠⠀⠲⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠠⠀⡀⠀⠈⠀⠀⠀⠀⠀⡀⠀⠀⠀
⠐⠃⠀⠀⠀⢀⠀⠀⢒⣀⠀⠀⠀⠀⡂⣀⡀⠀⢀⠀⠀⠐⠀⠁⠈⠀⠀⠀⠀⠐⠂⠠⠂⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠐⠂⢀⠂⠀⠀⣀⠀⠰⠀⠀⠀⠀⡀⠐⠂⠀⠀⢀⣄⠁⠀⠐⡌⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠗⠂⢼⣿⣿⣿⣿⡧⢉⠁⢀⠳⣼⡇⢜⣿⠐⢔⢰⣿⣑⢅⠀⠀⠀⠀⠀⡀⠄⠈⠀⠀⠄⠂⠀⣄⢀⠤⣀⣀⠀⣀⠀⢈⠄⠀⠀⠀⢀⠀⠀⠀⡠⠀⢀⠁⠄⢈⠀⠀⠀⠉⠨⣿⡴⢰⠀⠀⠀⠂⠀⢤⣺⣿⢁⢸⡇⡀⠀⠀⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠶⠄⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⡀⠀⠆⠀⠀⠀⠀⠀⠀⡀⠀⠀⢈⠀⠀⠀⠀⠴⠀⠈⠠⠀⠀⠀⠠⠄⠀⠀⠁⠀⠀⠀
⠀⢀⠈⠀⠀⠁⠀⠀⠌⠁⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡄⠀⠀⠂⠉⠖⠀⠐⠂⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⢀⠂⠀⡄⠀⠀⠈⠔⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠈⢿⣿⣿⣿⣿⠦⠐⠀⡀⣿⣇⢺⣟⠠⣴⡟⠡⠀⠀⠁⠀⠀⠃⠀⠅⠀⠀⠀⠀⠐⡀⠀⡤⠐⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠂⠘⠃⠀⠀⠂⠀⠀⠀⠀⢂⠀⠀⢀⠂⣌⠞⣿⡅⠁⠀⠖⢡⠀⠀⣿⣟⠁⢸⡇⡂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠂⠀⠀⢀⡀⠀⠀⠰⠀⠀⠀⠠⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢠⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠐⠀⠀⠠⠀⠀⠀⠀⠀⠀⡀⠀
⠀⠀⠀⠠⠀⠅⠆⢐⡀⠀⠀⠄⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠈⠀⠀⡀⠀⠁⠀⠀⠀⠅⠀⡀⠀⠀⠀⠀⠈⠀⠂⠈⠋⠁⠀⠀⠈⠀⠀⠀⡀⠈⠁⠀⠀⠈⡀⠀⠀⠀⠀⠈⠉⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠘⣼⣿⣿⣿⣿⠰⠀⠁⡣⢿⡏⣿⡧⣼⣟⠌⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠰⠄⠀⠉⠂⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠼⠈⢠⢘⣿⡑⡀⡄⠀⢠⣱⡿⠄⠋⢸⡧⠄⠀⠤⠧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠈⠁⠀⠀⠂⠀⠀⡀⠤⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠀⠐⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠡⠀⠀⠀⠀⡀
⠐⣠⠂⠀⠈⠃⠀⠈⠑⠀⠀⠐⠀⠀⠐⠂⠀⢠⠄⠀⠀⠀⠀⠀⠠⠠⠀⠀⠡⠖⠀⢀⠀⠁⠀⠀⠀⠀⠀⠁⠠⠀⢂⠀⠀⠀⠀⠐⠀⠀⠀⠐⠂⠀⠀⠈⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠂⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⢠⠀⢂⢻⣿⣿⣿⡇⠄⡆⠄⡔⢠⡿⣽⡟⠊⡆⠠⡄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠄⢀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠤⠠⠀⡀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡀⠈⢁⠀⣤⠈⠀⡜⣿⡴⠰⠊⠠⠛⠅⠐⠀⣿⣏⣁⣀⡠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣨⠀⠠⡀⠀⠀⠀⠀⠐⠀⠀⡴⠀⠀⠄⠀⠐⠂⠀⠀⠀⢁⡈⠀⠈⠁⠁⠠⠀⢀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠓⠂⠀⠀⠀⠰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠉⠀⡄⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠁⣉⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠠⠀⠀⠀⣠⠀⢠⠀⠃⠀⠆⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⣀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠒⣀⠂⢀⡎⣿⣿⣿⣯⢀⢐⣹⣿⢾⣷⢟⠆⠀⠉⡀⢈⡰⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⡀⠂⢓⣲⣤⣖⣀⠀⡀⠀⠀⠀⢔⣲⣴⣬⣁⢅⠀⠀⠀⠀⠀⠀⢰⡀⠀⡀⠀⠀⠈⠠⡁⠔⠚⣿⡄⠀⡀⠈⠀⠀⠃⣿⡇⢠⡾⠓⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⣉⠀⣄⠀⠀⢈⠰⠀⡀⠀⠐⠃⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠒⠀
⠀⠉⠀⠀⠀⠀⠘⠆⠀⠠⠤⠀⠀⠀⠀⠠⠈⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠁⣂⠀⡄⠀⠀⠀⠀⠀⠀⠀⠐⠀⠤⠀⠀⠀⡀⠀⠀⠄⣀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠠⠠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠀⠀⠀⠀⠼⣿⣿⣷⠢⠀⢾⣿⣾⡇⢂⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⡂⡞⢋⣙⠯⣿⣞⡐⡀⡄⢢⣾⠫⡅⠠⡩⡁⠀⠀⡀⠀⠘⠀⠀⢀⢀⠁⠀⠀⠀⢀⠀⠀⠀⠸⣷⡨⢁⠀⠀⠀⠀⣿⡇⣾⣧⠣⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠡⠄⠀⠀⠀⢈⠀⠀⡅⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⣀⠀⠀⠂⠀⠂⠈⠃⠀⠀⠀⠀⠀⠁⠀⢀⠀⠐⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠐⠀⢆⡈⠻⣿⣿⡴⡆⢺⣿⣿⡇⠅⠄⠀⠀⠀⠀⠠⡄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠂⠀⢁⠑⠀⠁⠀⠀⠂⠊⠈⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠊⠇⢹⣧⡂⠂⠀⠀⣀⣿⢻⡿⢨⢀⠁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠄⠄⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢀⠀⠀⠁⠀⡀⠐⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠐⠀⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⠀⠀⠤⠀⠀⠀⠀⠀⠀⡄⠂⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⠀⠀⠀⠀⢔⠀⠀⠀⡀⠄⠀⠀⠀⠀⡀⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⠀⠀⠊⢐⢿⣿⣷⡍⢱⣿⣿⡇⠅⠀⠀⠀⠠⢄⠀⠀⠀⢀⠀⠀⠅⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⠀⠀⠀⡀⠀⠀⠀⠁⠀⢀⠀⠀⠀⡆⠘⢹⣏⠀⠀⢸⢸⣿⣸⡇⡵⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠀⠀⢀⠀⠀⠀⠀⠀⡀⢠⠈⡀⠀⠀⠉⠈⡀⠀⠀⠀⠀⠀⢀⡠⡄⠀⠀⠁⢀⠀⠀⠁⠀⠀⠀⠒⠀⠀⢀⡀⠀⡄⠀⠀⠰⠀⡀⠀⠈⠓⠂⠠⠈⢄⡉⠀⠀⠀⠌⠀⠀
⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠙⠀⣂⠀⠀⡀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠁⡀⠀⠀⠂⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠆⠠⠄⠀⠀⠀⠀⠀⠀⠆⢸⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠘⠈⢩⣿⣿⢱⣿⣿⢿⡇⣨⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⣀⠀⠀⢀⠀⠀⠋⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠁⠀⠂⠀⠀⠁⠀⠀⠀⠀⠈⡤⠀⠀⠀⠀⠀⢁⣿⡔⡰⠀⣺⣇⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠰⠀⠀⠀⠀⠃⠆⠀⠀⠀⠂⠀⡎⢀⠁⠀⠀⠠⠈⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠸
⠀⠀⠀⠂⠀⠈⠀⠀⠠⠀⠀⡀⠁⢀⠀⠀⠀⢡⠄⡀⠀⠀⣀⡀⠀⠄⠀⣀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠤⠀⠇⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠠⠀⠀⠀⡆⡸⣿⣿⣿⡇⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣿⢓⢝⡛⢙⡔⠀⠀⠠⠀⡀⢀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠤⠀⠀⠀⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠶⠀⠂⠘⣿⢈⢀⣿⢻⡟⠄⠀⠀⠰⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡄⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠂⠀⢠⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⢀⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⣀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠔
⠄⠀⠀⠀⡄⠈⠀⠀⠀⠀⠀⠄⠀⠀⠂⠀⠀⠂⢀⡁⠀⠀⠀⠀⢤⠀⠀⠀⠤⠀⠠⠂⠤⠀⠤⠀⠀⠀⠀⠂⡀⠀⠀⠂⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠠⠀⠀⠀⠀⠐⠀⠛⠀⠀⠀⠀⠀⠀⠀⠃⠁⢿⣿⣿⡇⣿⢣⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢤⡀⡂⠀⠀⠀⠀⠂⠙⠛⠁⠃⠤⠀⠈⠂⠀⠀⠂⠐⠀⠀⠠⠀⠈⠁⠀⠀⠐⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠀⠀⠀⢴⠀⠁⠀⠚⠀⠁⣄⠀⠐⠀⠀⠀⢀⣀⠀⠠⠔⠀⠉⠄⠀⠀⠘⠈⠀⢈⢼⣿⢼⡇⠄⡀⠀⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠑⠠⠀⠀⠀⠤⠀⠀⠄⠀⠁⠀⠀⠀⠀⠈⠠⠀⠀⠂⠀⠀⠀⠈⡠⠀⠀⠠⠀⠀⠀⠈⠡⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠁⠀⠀⠀⠀⠈⠀⠤⠀⠀⠀
⠀⠐⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠠⢘⡁⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠒⠀⠀⠂⠀⢀⠀⠀⠈⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⣿⢐⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⡀⠀⠁⢀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠰⠂⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠂⠀⠤⠈⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠭⣰⣮⣾⠑⢀⡉⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⢐⠂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠈⢄⡀⠂⠀⠀⢀⡀⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⡄⠀⠀⠀⠄⠀⠀⠀⠀⠰⠄⠀⠀⠙
⠀⠀⢁⡀⠀⠀⠈⠁⠂⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠠⠷⠀⢀⡀⣠⠀⠀⢤⠀⠀⠀⠀⠀⠠⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠀⠁⠁⠈⠀⠀⠀⠐⠑⣿⣿⠃⣿⠀⠄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠇⡲⠀⠰⠀⠀⠀⢀⡔⠂⠀⠀⠀⠀⠀⠈⠀⠀⠀⣒⡒⠢⢀⠀⣐⡈⢀⣀⣀⣁⠠⠠⠂⠒⠀⠀⠴⠢⠠⠀⠶⢈⣀⣀⣐⣀⣂⣁⣒⣀⣰⣴⣶⣤⣤⣶⣦⣦⣼⠦⠀⠀⠀⠀⠀⢀⠀⡄⠀⠀⠀⠐⡐⣩⠑⠀⠉⠁⠈⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡔⡡⠀⠉⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠰⠐⠂⠀⠀⠀⠑⠛⠀⠀⠂⠀⠀⠀⠀⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠁⠀⠀⠀⠀
⠁⠀⠈⠒⠂⠄⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠈⠀⠀⠀⠐⠀⠄⠂⠔⠒⠂⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠆⠀⠂⠀⠀⠀⠀⠈⠐⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠢⢻⣿⠀⣿⠐⢘⡺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣷⡀⢐⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢐⠿⠿⣷⣶⣶⣶⡿⠿⢿⣿⣛⠻⠛⠛⠛⠛⠛⢛⠛⠿⠛⡻⣟⣿⣛⣿⣿⢫⠋⠉⣫⣫⣭⣿⣿⣿⣿⣿⡅⠪⠄⠀⠂⠀⠀⠀⠐⠀⠀⠀⠀⢩⠀⠀⠀⠀⢀⠐⠐⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⠀⠁⢀⠰⠀⡀⠀⠠⠀⢠⠀⠀⠀⠀⠀⠀⡀⠀⠂⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⢐⡃⠀⣂⠀⠂⠐⠀⠀⠐⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠀⠘⠂⠀⡈⡄⠀⠀⠂⠐
⠀⠀⠀⠠⠀⢂⠀⠀⡀⠀⠀⠀⠀⠠⠅⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠤⠂⡀⠰⠄⠲⢀⠀⠀⠀⠀⠀⠀⠠⠆⠀⠀⡀⢀⢠⠀⠈⠀⠀⠀⠠⠀⢀⠀⠀⠀⡀⠀⢀⠀⠀⠁⠀⠠⠀⡀⠀⣀⢐⢠⠀⠐⡀⠀⠄⠌⠸⠋⠀⣿⠨⠐⠨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠘⣿⣮⡢⠆⠛⠓⢀⠀⠀⠀⠀⢀⠆⠀⠀⡀⠀⠀⠘⠎⠐⠕⢺⣿⣿⣿⣿⣿⣿⣿⣶⣾⣾⣿⠷⠶⠶⠾⠾⠶⠷⠾⠿⠿⠿⠿⠷⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠭⠂⠀⠀⠀⠄⠀⠀⠀⠀⠀⣀⠀⠤⠐⠀⢀⠀⢀⢃⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡿⠤⠤⠀⠀⠀⠀⠂⠀⠀⡘⠀⠀⠀⢀⠀⠀⠄⠀⠀⠔⠂⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⢀⠀⡈⠈⠠⠄⠠⠀⡄⠀⠐⠀⠀⠀
⠀⠀⠈⠀⢠⠀⠀⠀⠀⠀⠀⠀⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⡀⠀⢂⠀⠀⠀⠀⠀⠂⠀⠀⠰⠂⠀⠀⠄⠀⣦⣀⣔⣀⣌⣼⣑⢆⠤⣀⠀⠀⠀⠀⠀⠀⠄⡁⠀⢄⠙⣠⡠⣠⣷⣿⣷⣶⣍⡲⡢⣀⠉⠠⠤⠄⠁⣿⠠⠄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠂⢻⣿⢷⣅⠄⠀⠈⠀⡀⠈⠀⠀⠄⣄⠀⠀⠀⠀⠀⠤⠀⢠⠀⣿⣿⣿⣿⣿⣟⠕⠊⡀⠨⢂⡉⠠⠡⠄⠉⠤⠀⠄⠈⠠⠀⢠⠐⢈⠈⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠉⠀⠀⠀⡀⠰⢃⡈⠀⠂⠀⢈⠢⣳⣴⠟⡅⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡓⠀⠀⠴⠀⠀⠀⠀⠀⠈⢀⡀⠁⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠀⠠⠀⠒⠂⣀⠢⠀⠀⠂⠀⠀⠀⣀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠆⠀⠰⠁⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⣈⢠⠤⣈⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣤⣌⡴⢨⠔⠀⠀⠀⢔⡸⣬⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⠿⣿⣿⣿⣶⣮⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⡙⣿⡨⢿⣶⡰⢐⠀⠉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣀⣈⡀⠈⠥⠄⠀⣐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠘⡰⠄⡉⣼⣿⣿⣿⣿⣿⣿⠇⠀⠐⠂⠀⠀⠀⠀⢀⡁⠀⠀⠀⠀⠀⡂⠀⡀⣱⡾⡋⠀⢠⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠇⢸⣿⣿⣿⠡⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⠀⠆⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠀⠀⠀⠀⣀⠀⣀⡀⠑⠀⠀⠀⠀⣀⠀⠀⢀⠁⡀⢠⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂
⡀⠀⠀⠈⠁⠀⠀⠠⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠐⠀⢈⡀⢀⠀⢈⣰⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣥⣅⢀⢄⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣜⡂⣁⡁⣚⣦⡿⡟⠋⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠉⠀⢻⣧⢰⡙⣧⣕⢠⢀⠠⠠⡄⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠂⣿⣿⣿⣿⣿⣶⣦⣭⣬⣭⣤⣦⣤⣶⣦⣤⣤⣤⣴⣴⣤⣤⣬⣬⣵⣾⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠠⠐⠂⠀⠀⠀⠁⠀⠀⢀⠀⠀⠀⣤⣾⢋⠊⠀⢠⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠀⢸⣿⣿⡧⡃⠀⠀⠀⠀⡀⠠⠀⠀⠀⠂⠀⠄⠈⢣⠀⠀⠀⠐⠀⠀⠒⠀⠀⠈⠳⠀⠀⠀⡀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠈⠀⠀⠉⠀⠀⠔⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠉⠄⠀⠀⠠
⡀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⡆⠚⠀⠀⠀⠀⠁⠀⢀⠀⠀⢉⣲⣬⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡾⠿⠻⠉⠬⠬⡛⡜⢹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠸⣿⡸⠉⠨⠻⣷⡐⠀⢀⢀⠀⠀⠀⠀⠀⠚⠀⠘⠀⠰⠄⣿⣿⣿⣿⣿⠋⢧⢂⠢⠀⢂⠋⠉⠉⠩⠍⠉⠉⢉⡩⠩⠝⠲⠐⠀⣿⣿⣿⣿⣿⣿⣿⡯⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠁⡄⢕⢌⣬⣿⣻⡿⡊⢠⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⣾⡏⢋⢸⣿⣿⠈⠀⠀⠂⠐⢀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠳⠀⠂⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⢡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢉⢒⣠⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢌⠈⠁⠀⠀⠀⢆⣣⣿⣿⣿⣿⣿⣿⣿⣿⣇⠆⢈⡆⣹⣿⠴⠄⠀⠘⢿⣯⣐⠀⡒⠀⢆⢀⠂⠀⠀⠀⠀⢐⣡⣿⣿⣿⣿⡇⠀⠀⠄⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢠⢠⣿⣿⣿⣿⣿⣿⣿⡐⠉⠃⠀⠀⠀⠀⠀⠀⠀⠐⡨⢘⣵⠿⡑⢀⣿⢷⡢⡌⠀⠀⠠⢸⣿⣿⣿⣿⣿⣿⣿⢣⣿⡜⠸⢸⣿⣟⠨⠠⠀⠰⠀⡀⠀⠰⠀⠁⠀⠀⠀⠀⠀⠀⠐⠂⠠⠀⡀⢡⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⠀⣄⠰⠆⠈⠀⠀⢀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠚⠀⠀⠠⠀⠄⠃⠀⠀⠀⠀
⠀⠀⠀⠁⠀⢀⠐⢀⡀⠀⠀⠀⠀⠀⠀⠘⠣⣀⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠡⡉⠀⠀⠀⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⢠⠘⣿⡷⡄⡄⠙⠂⠩⣻⣵⣠⠂⡢⡂⠀⠀⠀⠀⠀⠨⢰⣿⣿⣿⣿⡇⠐⠀⠀⠐⠈⠀⠀⠀⠀⠀⠉⠀⠈⠀⠀⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣟⠄⡂⠀⠀⠀⠒⠀⠀⡆⠢⢲⡵⣟⡑⡅⢳⣾⡟⢊⢻⣶⡈⢰⠲⣿⣿⣿⣿⣿⣿⣿⠇⣾⠗⠐⡀⣸⣿⠁⢠⣀⠀⠰⠀⠀⠀⠀⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠁⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠈⠀⠀⠀⠌⠀⠉⠐⠡⠄⡀⢠⠀
⠀⠀⠀⠀⠀⠈⠀⠈⠉⠁⠀⠀⢀⢀⣚⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡔⠀⢠⠈⠀⠀⠌⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠒⠋⢻⣾⡌⠀⢀⠀⠀⠐⠂⠀⠘⣿⣿⣿⣿⡇⡀⠐⠀⠐⠀⠀⠀⠀⠀⠠⡌⢁⠀⡀⠀⡀⢀⠀⢀⣸⣿⣿⣿⣿⣿⣿⠗⠠⠀⠀⠀⠀⠀⢀⠢⣶⣾⡛⢠⠠⠐⡠⢡⣿⠰⠑⠑⠙⢷⣵⣥⣿⣿⣿⣿⣿⣿⡟⣼⠟⡀⠀⠉⠘⠏⠀⠀⠄⠀⠀⠀⠀⠂⠚⠀⠠⠀⠀⠰⠀⠒⠀⠂⠀⠀⠀⠀⡄⠀⠀⠀⠉⠀⢚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠄⠉⠠⠈⠘⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠐⠀⠀⠀⠀⠐
⠀⠀⣀⠀⠀⠀⠠⠄⠁⠀⢀⣜⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡣⡤⡨⠀⠀⣀⠊⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢬⢃⢿⡗⠀⠀⠐⡄⠀⠀⠀⠌⠛⢾⣔⠠⠄⠈⠀⠀⢁⢻⣿⣿⣿⡣⡈⠈⠀⠀⠂⡀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⢂⣿⣿⣿⢻⣿⣿⣿⠐⠀⠀⡀⠀⠀⡕⣢⣿⠫⠲⠀⠋⠠⠰⡱⣿⠗⡰⡈⠀⠀⠐⢟⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠐⠒⡸⠀⡀⠄⠀⠐⠀⠤⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⡁⠀⠀⣀⠀⠉⠀⠀⡀⠀⣀⠀⠀⠀⠀
⡄⠀⠀⠀⠀⠀⠈⡨⣢⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⡀⢄⢉⡀⠘⣾⣿⣿⣿⣿⣿⣏⡂⠅⠀⠀⠀⠸⠷⠁⠌⠑⠀⠀⢀⠈⠀⠀⡐⠝⠷⣮⡪⢈⢀⠀⢸⣿⣿⣿⡯⠀⠀⠀⠀⠈⠉⠀⠈⠀⠀⠀⠀⡀⠀⡀⠈⠀⡄⣿⣿⣿⡇⢸⣿⣿⡇⡀⢡⡔⠔⡱⣸⣾⢋⠂⠈⠁⠀⠀⠀⠰⣱⡿⠀⠀⠀⠸⡄⠀⢡⠭⣿⣿⣿⣿⣿⣿⠿⡻⣿⣶⣧⣀⢁⠭⠀⠀⠀⠋⠀⠀⠀⠀⢀⠀⠈⢀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠀⠀⠀⠁⠉⣤⠐⠁⠀⠉⠀⢀⠀⠃⠘⠀⠀⠀⠀⠀⠀⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠠⠤⠀⠀⠀⠀⠀⠀⠐⠀⠀⠐⠂
⠀⠄⠀⠠⢄⣦⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡥⠌⠃⣀⠉⠐⢻⣿⣿⣿⣿⡿⣧⣮⣦⡀⡸⠈⡦⠹⠠⠐⠀⠀⠀⠀⠀⠄⠑⠀⠈⠊⢻⢷⣜⢀⠫⣿⣿⣿⣿⠐⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠁⠀⠐⡀⠸⣸⣿⣿⣿⠏⣿⣿⣿⢁⡒⡂⢀⣵⠾⡫⠐⠎⠀⠀⠀⢠⠀⠀⡸⣿⠓⠀⠀⠀⠀⠀⢀⠈⠂⣿⣿⣿⣿⣿⡅⢉⢢⠁⢉⢻⢿⣷⣧⠆⡴⡂⠂⠀⠀⠀⠀⢈⠀⠀⠃⠀⠀⠀⠐⣠⠀⠀⠀⠀⠀⠀⠂⠀⢀⠀⠀⠀⠀⢈⠓⢤⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠤⠅⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⠀⠀⠈
⣤⣤⣤⣓⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠐⠄⠀⠀⡨⢿⣿⣿⣿⣷⣶⣦⣭⡻⣿⡕⠀⢻⣷⡍⢆⠀⠀⢀⠀⠀⠀⠀⠀⠢⢐⠠⣝⡻⣦⣊⢻⣿⣿⡏⡀⠀⠀⠲⠄⠀⠀⠀⠀⡀⢀⠀⠀⠀⠐⡁⣿⣿⣿⡿⣸⣿⣿⢃⠰⣢⡾⡟⠡⠡⠢⠠⠀⠠⠀⠒⠢⡀⢀⣹⡏⡜⠀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⣦⡐⢉⡜⢒⠭⢿⣿⣿⣦⡎⠀⠀⠀⠀⠀⠈⠀⠲⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⡀⠀⠀⣀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠁⠀⠀⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡜⠄⠀⠀⠸⢸⣿⣿⣿⡇⢧⢣⢹⣇⢸⣷⠐⡠⢿⣎⠂⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠐⠉⡈⣛⢿⣿⣿⣿⣖⠃⠋⠀⠀⠈⠀⠀⠄⠁⠀⡄⠀⠀⠁⢸⣿⣿⣿⣱⣿⣿⣛⣴⠟⡟⢌⠠⠀⠀⠀⠀⠀⠐⠀⠀⠀⡇⢠⣿⠇⠢⠀⠀⢀⡄⠀⠀⠆⡁⣿⣿⣿⣿⢹⡇⡑⡻⣶⣳⡁⠥⠺⣿⣿⣿⣿⣷⣆⠍⡉⠀⠀⠀⠀⢈⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠄⠠⠀⠀⠀⢠⠀⠀⠃⡀⠂⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⠢⡠⠱⣸⣿⣿⣿⣇⣃⣪⣾⢇⣼⠟⣆⠆⠌⢿⡌⠀⠀⠈⠀⠀⠀⡀⠠⠀⡀⠠⠘⠀⠁⠀⠀⠊⢻⣿⣿⣮⡠⢀⠤⡀⢈⣀⠉⠀⠀⠑⡠⠀⢸⣿⣿⣿⣿⣿⣿⠿⠋⠁⠈⠀⣁⡀⠀⠀⠉⣰⠀⠤⠀⠀⠁⢐⢺⡏⠈⢀⠀⠀⠠⠄⠀⠀⠈⢸⣿⣿⣿⣏⣸⡇⠉⠈⢊⣻⢶⣌⠫⢻⣿⣿⣿⣿⣿⣶⣴⣐⠄⡀⠀⡀⠀⠀⡉⠀⠠⠈⠁⠀⠐⠊⡁⠀⠠⠖⠀⠀⠈⠁⠨⠀⠀⠀⠀⠀⠋⠁⠈⠀⠀⠀⠃⡂⠀⠀⠀⠈⠉⠁⠀⠀⠀⠆⠀⠐⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⠌⡈⠐⢝⢿⣿⣿⣭⣍⠵⣿⠙⠋⠈⠐⠘⠜⣿⡠⡀⠃⠀⠀⠀⠀⠦⠤⠀⠤⠀⠀⠀⠀⠀⢈⡌⠻⣿⣿⣿⡿⣶⣮⣚⠀⠁⡀⡀⠂⠣⣱⣿⣿⣿⣿⠿⡋⠅⠁⠁⠀⠀⠀⠀⠄⠀⠁⠀⠲⠒⠐⠀⠀⠠⠣⣸⡇⠄⠀⠇⠀⠀⠀⠠⢄⠀⢸⣿⣿⣿⣶⢿⡇⣄⢄⠨⢒⡐⠝⣷⣍⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⡂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠐⠂⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠆⢐⡀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠂⠀⡀⡁⠀⠠⠄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠠⠄⠀⢣⢿⣿⢛⡙⣻⣯⡂⠁⠀⠀⢀⠄⠼⣷⣶⠀⠀⠀⠀⠀⠀⠀⠘⢀⠀⠀⠀⢀⠀⠐⢁⠍⠋⠛⠋⠺⠑⠹⣛⡛⠿⣷⠶⠾⣿⣿⣿⣿⡿⠓⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠐⠀⠀⠈⠠⢿⠇⠀⠀⡀⠠⠀⠀⠀⢀⣪⣿⣿⣿⣷⣬⣎⣿⣖⠅⠂⡈⠁⠀⢆⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡀⠀⠀⣀⡀⢊⠀⠠⡤⠆⠀⠃⡀⠂⠈⠉⠀⠀⠀⠠⠀⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠄⢀⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢓⠀⠀⠡⠄⠀⠐⠀⠼⣷⡱⠳⠑⠀⠀⠐⢼⣷⡤⠤⠄⢲⠀⠁⠀⠈⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠀⠀⠀⢟⠿⢿⡟⠝⡀⠀⠠⠌⠀⠈⠀⠀⠀⢈⠀⠀⠀⠀⠀⠁⠠⠤⠀⠀⠄⢈⠀⠀⠀⠁⠀⠈⠁⠀⠀⣿⣿⣿⡿⠠⠖⣿⣇⣿⡻⠐⠒⠀⡴⠆⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣂⠨⠂⠀⠤⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⢀⠀⠀⠠⠀⠀⡄⠠⠉⠀⠀⠀⠂⠀⠀⠀⠀⢈⡠⠄⠀⠀⠀⠀⠀⠈⢀⠉⡈⠀⠀⠀⠀⠈⠀⡀⠚
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡖⠄⠔⡀⠠⠂⠁⡉⡼⣿⣕⢨⠀⠀⢀⠨⣼⣷⡀⠀⠀⢀⡀⠀⠀⣀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠘⠀⠀⠀⠀⠊⠀⠊⠐⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⡠⠒⠈⠘⠀⠂⠰⠀⠀⠀⠀⠼⢿⣿⣿⣏⣊⣫⣿⣷⡿⡨⡀⠀⠀⠂⠀⠀⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣗⠀⡧⠀⠀⠈⠀⠠⠀⠀⠀⠀⠀⠀⢴⡄⠀⠀⠀⠄⠀⠀⢆⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠠⠄⠀⠀⠀⠀⠀⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣮⡘⣀⢀⢀⠐⢈⠸⢊⢿⣄⡀⢀⢀⠄⠊⠚⣷⡥⣁⡀⠀⠀⠠⣄⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠀⠀⣀⠀⠀⠀⡘⠀⢀⡀⠈⠁⠀⠀⠀⠀⢀⢀⢀⡀⢀⠀⠦⠨⣿⣟⣭⣯⣭⣵⢟⠁⠡⠁⠀⠀⠎⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣔⠄⢰⠀⡐⠀⠀⠀⠀⠤⠀⢀⠀⠁⠀⠀⢀⢐⠓⢀⡀⢀⡀⠄⠀⠀⠀⣠⠄⠀⢀⠁⢠⠀⡀⠀⠀⠀⢠⠀⠠⠤⠈⠀⠀⢀⠀⠀⡀⠈⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⢛⣦⣧⣐⠄⠀⠀⡜⢑⠻⣦⢑⠁⠀⠠⠄⢊⣿⡄⡌⡄⠂⠀⠀⢠⠐⠆⠀⠀⠃⠀⠀⠀⡀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⡀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⡠⣤⡿⢛⠍⡙⣭⠓⢓⠀⠀⠀⠀⠀⡄⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣵⣦⡂⢀⠀⡀⠀⠀⠀⠀⠀⠠⠂⡀⠀⠀⠀⢠⡀⡆⠀⠀⠀⠀⠀⠀⠈⠈⡈⠠⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⢀⡉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡀⣛⣿⣕⡠⠦⠁⠀⠀⠙⣷⡒⠄⡀⠀⢋⢈⣿⣅⡃⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠈⠀⠉⠀⠀⠀⠉⠀⡌⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠂⢢⣼⡏⡆⠉⠈⠐⠄⠈⠀⠀⠀⠠⠤⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣆⡉⠄⣂⠄⠀⠀⠀⠚⠩⠅⠄⢠⠂⠀⠈⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡸⠊⠙⠻⣶⣤⢤⡀⠤⢍⡿⣮⡸⣶⢡⢣⠿⣻⣦⢄⢀⢄⠐⠀⠀⠈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⢀⠀⠤⠀⠀⠀⣀⡄⣽⡾⡃⠈⠐⡀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⣔⡠⢀⠀⠠⠠⠄⠌⠂⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣉⢑⢋⠋⠻⡷⣦⡂⡕⣌⠎⣳⣝⢬⡃⢁⣀⠼⢷⣔⠕⠀⠀⠀⠘⠁⢀⡀⠀⠀⠀⣀⢀⠀⡁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⢰⣴⢊⠀⠀⠀⢁⠰⣰⠿⠝⠃⠀⢀⡀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠄⣁⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣔⡪⡐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⡀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⡅⠀⠀⠀⡝⠮⢝⢷⣵⡄⠵⡽⣷⣥⢜⡠⣒⢪⠻⣧⣑⢖⠢⠐⠀⠌⣀⠀⠀⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣐⣼⣇⢰⠀⠃⠀⠀⢸⣿⢂⠠⠀⣘⣡⣿⣋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠆⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡐⠀⠀⠁⠠⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠐
⣶⣶⣤⣭⣭⣿⣻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢐⢄⠅⠈⠈⠀⠀⠉⢿⢿⣝⡜⣝⢷⣜⠠⡌⠆⡽⡳⣇⠠⠐⡀⣀⠉⠀⠀⠘⠁⠀⠰⠆⠀⠐⠐⠂⠀⠀⠀⠀⠀⠄⠀⠀⠀⠃⡄⠀⠀⠁⠀⠀⠂⠐⣽⡏⠄⠀⠠⠄⢂⠀⣾⡗⡁⣓⣐⡵⠏⢎⠜⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⣀⠀⠁⠂⠴⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⢀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠁⠀⠀⠰⢀⠀⠀⠀⠀⠀⠀⠒⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣾⣮⣛⡝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣳⠀⠂⠄⠀⠀⠋⠀⠝⡿⣾⣬⢽⡿⣦⣃⡙⠪⣛⣷⣕⠠⠊⢨⢀⠀⠀⢀⢀⠠⢀⠄⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠘⠄⣴⡿⡆⡠⢀⠀⠈⡀⢣⣿⠡⣾⣾⠫⠮⠂⠕⠎⢠⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠉⠉⠀⠥⠀⠀⢀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⣀⠀⠀⠂⠀⢀⡉⠄⠀⠀⠀⢤⠀⠈⠀⠀⠀⡀⠀⠀⠀⠄⠠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡥⡆⠌⠀⠀⠐⢔⠜⣝⡿⣮⡹⡙⢷⣦⡒⠅⣻⣧⡂⢈⠆⠀⠀⠘⢀⠀⠀⠀⠀⢠⠀⠂⠀⠀⠀⠀⠚⠢⠀⠀⢀⠈⠀⠀⠀⠀⠐⣰⡿⡄⠡⢀⠀⠠⡌⣊⣺⣿⠾⢏⢑⠡⢂⠀⠀⠤⠀⠁⠈⠀⣁⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠮⣪⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠡⡀⠑⠀⠀⠀⠀⠐⠀⠀⠠⠀⠀⠀⠀⠀⠠⠄⢀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣮⢝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣕⢠⠐⠄⠐⡄⠀⠘⠊⣛⢿⣅⠨⠟⢿⣦⣯⠻⣦⡕⡂⡓⠀⠂⠒⠀⠀⠀⠘⠀⠀⢀⠁⢑⣦⣧⣂⢂⢐⠑⠀⢀⠀⠀⠀⣢⣿⢄⡠⠀⣀⠂⣢⣴⡿⣿⡃⠿⠀⠈⠈⠀⠐⠀⠀⡀⡉⠀⣀⠀⠄⡄⠀⢀⡀⣐⠂⢄⣰⣮⡶⢟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡣⡢⡠⡂⠀⠀⠅⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢀⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣹⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⢄⠠⠀⢀⠐⠐⠑⠿⢻⣆⡌⠌⣹⡻⣾⣿⣶⣙⠀⡀⠠⠀⠠⠀⠠⠀⡡⣱⡿⣻⣿⣭⡛⢿⣌⠆⠄⠉⠐⠁⢇⡿⢵⣪⣫⣵⡶⢟⡯⢁⢴⣿⠤⠠⠄⠀⠀⢀⠀⠀⠠⠃⠀⢀⢌⠠⡀⡀⢄⣕⣯⣶⡿⢛⠻⢁⡞⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡤⡠⡀⡀⠁⠀⠀⠘⠀⠠⠀⠀⠂⠀⠀⠀⠛⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣮⣦⠀⠀⠀⠉⠸⠐⡈⣿⣮⣊⠄⡐⠜⡙⡿⣿⣶⣷⣼⣥⣍⣉⣂⣼⠟⣽⡟⢽⢍⢻⣧⢿⣿⣦⣴⣭⣽⡿⠷⠿⠟⢩⠊⠕⠕⠈⠨⡺⡇⠄⠐⠀⠀⠀⠈⠀⠀⠀⠀⡀⠡⣙⣠⣿⠾⢟⡋⠝⠨⠁⣀⠀⠡⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡨⡈⡀⡀⠀⡀⠀⠀⠒⠀⠀⠀⡀⠔⠂⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣥⣂⠀⠀⠀⢀⠁⠂⢌⢝⢷⣜⣪⢏⢊⡪⣻⣮⡙⠟⢋⠽⣍⢿⣤⢿⣇⠩⠱⣸⡿⣴⡟⢙⡉⢹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠔⣽⢑⢅⡀⠀⢀⠖⡩⠠⣐⣶⣶⠾⠟⣛⠩⠃⠁⠀⠀⠀⠀⠀⣀⢀⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡪⡔⠔⠁⠀⠀⠀⠀⠀⠀⠀⠂⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡪⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡝⡅⠀⠀⠀⠀⠀⢠⣝⡻⣾⡞⠊⠘⡨⡻⣧⡈⡄⢇⠅⣛⢷⣽⣛⣛⣻⣶⡟⣸⢀⢴⡿⣣⡃⠄⠀⠀⠀⠀⠀⢁⠀⠂⣿⠁⡀⠠⣔⣦⣵⡾⢟⠛⠙⠓⠁⠈⠀⣌⠀⠈⠁⠀⢁⣄⠀⢀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡢⢤⣒⠄⠀⠀⡄⠀⠄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⢙⢂⠀⠀⠔⠯⠦⢊⢛⢷⣄⢡⡘⣝⡻⣮⡸⢝⠄⠇⠉⠝⠛⠏⠪⢕⢀⢱⡟⠅⠀⠤⠀⠀⠀⢀⠀⠀⡀⢤⣐⣻⣷⠾⠟⠿⠉⠌⠉⠄⠤⢐⠀⡀⠀⠀⠤⠀⠀⡀⠀⠀⠀⢌⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢔⠀⠀⠀⠀⠀⡂⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣥⡢⠃⠀⢀⡀⢈⡈⠵⢙⠷⣧⡉⡨⢎⡿⣶⣀⢄⢥⠀⠀⠀⢀⠡⢲⣿⡃⡀⠀⡀⡠⢄⣜⣩⣤⣾⠶⡿⡿⠅⢋⠤⠀⠀⠀⠀⠰⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠔⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣅⡀⠀⠀⠉⠄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣆⢒⣠⠀⠈⠀⠀⠗⠪⡻⢷⡮⣾⢞⢻⣮⡰⠀⢤⠀⠈⣰⡿⠕⡬⡢⣨⣧⡶⢿⡛⠫⠙⠀⠈⠀⢡⡄⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠐⡀⣀⠀⠀⠀⠀⢁⢯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡈⡐⠂⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣥⣴⡒⠀⢄⡀⢒⣪⡿⣷⡂⠊⠊⠁⣀⠀⠀⠑⠙⠑⠓⣨⡾⣫⢑⠑⠂⠀⠃⠁⠈⠀⢀⠐⢂⠈⠅⠀⠤⠂⢀⣰⡈⠀⠀⠂⠀⠐⠀⠀⡐⠀⢆⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡠⠀⠀⠀⠀⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣽⣱⡏⠺⡘⣿⡁⠀⢀⠀⠀⠀⠀⠀⢨⡾⠏⠌⠌⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⠀⠆⠀⠀⢀⠀⠄⠀⠀⠀⡀⠀⠀⠀⡀⠄⠑⣪⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⠀⠀⡀⠓⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣾⣦⣤⣬⣄⣑⣂⣋⣙⣀⣄⣌⣥⣤⣰⣉⡁⠀⠀⢀⠀⠀⠖⠀⠀⠒⠂⢈⣀⣀⣤⣉⣐⣁⣈⣢⣴⣴⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⡃⠈⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⠈⠈⢀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠡⡀⠀⠨
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠁⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣽⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡁⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡹⣿⣿⣾⣿⣿⣿⢝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣀⠀
⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣷⣿⣿⣿⣯⢓⣽⣿⣿⡿⣿⣿⣼⣿⣿⣿⢿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀
⣿⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣲⣿⣿⣿⢿⢻⣿⣿⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣹⣿⣿⣟⣯⣿⣿⣟⢝⣿⣿⣟⣷⣿⣿⣿⣩⣿⣿⣿⣯⣿⣿⣿⣏⣽⣿⣿⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢠⠀
⣿⣿⡚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⢅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⢟⢻⣿⣶⣾⣿⣿⣯⣠⣿⣿⣿⢿⣿⣦⣿⣿⣿⣟⣽⣿⣿⡫⣙⣿⣿⣟⢽⣿⣿⣿⣩⣿⣿⣯⣋⣽⣿⣿⣑⣿⣿⣿⡅⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠢
⣿⣿⣷⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣷⣿⢿⣿⡏⣮⣿⣿⡿⢿⢻⣿⣷⣿⣿⣿⣭⣿⣿⣿⢩⣿⣿⣿⠟⢝⣿⣿⡟⣹⣿⣿⣟⢝⣿⣿⣟⢫⣿⣿⣿⢎⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆
⣿⣿⣿⣷⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣼⣿⣿⡿⣟⣿⣿⣾⣿⢿⣿⣧⣿⣿⣿⣟⣽⣿⣿⣟⣛⣿⣿⣿⢿⣻⣿⣾⡿⣻⣿⣿⡟⢿⣿⣿⡟⡝⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔
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=== PHONEBOOK ALIASES & NICKNAMES ===
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- Stolyarov (bro)
- Stolyarov 💪🏼
- Stolyarov 🖕🏻
- Stolyarov Alexey
- Stolyarov Alexey Ol
- Stolyarov Alexey Parusa
- Stolyarov Alexey Blogger
- Stolyarov Alexey Blogger Fitness
- Stolyarov Alexey Viktorovich
- Stolyarov Alexey Trainer
- Stolyarov Alexey Fitness Blogger
- Stolyarov Amb Gf
- Stolyarov Blogger
- Stolyarov Wildgem
- Stolyarov Leha
- Stolyarov Leha Blog
- Stolyarov Leha Blogger
- Stolyarov Lesha
- Stolyarov Lesha (K)
- Stolyarov Lesha Blogger
- Stolyarov Scoundrel
- Stolyarov HZ Where Number From
- Stolyarov ❤️
- Stolyaryov
- Strlyarov
- Son
- Trainer (Stas)
- Trainer Alexey
- Trainer Alexey Stolyarov
- Trainer from FH Alexey
- F Alexey Stolyarov
================================================================================
+=============================================================================+
| USER PROFILES |
+=============================================================================+
| == VKontakte User == |
| Login: stoliarovaleksey |
| First Name: Alexey |
| Last Name: Stolyarov |
| Full Name: Alexey Stolyarov |
| Photo URL: https://sun1-14.userapi.com/s/v1/ig2/bt1Ys3lmH9igfq7ZWoD3LMN9IKB8|
| B3P38LAdZxIeoB72H1bmERSd0GmBioNaI0-L_CSWdwn3SDvYjyeuRNYC5ndJ.jpg |
| Gender: Male (2) |
| Verified Profile: No |
| Birthday: 25.02 |
| City: Moscow |
| Country: Russia |
| VK Domain: stoliarovaleksey |
| Last Updated: 2025-05-28 11:33:03 |
| VK ID: 250900 |
| Profile Link: https://vk.com/id250900 |
+-----------------------------------------------------------------------------+
| == VTB Mobile Bank == |
| Phone: +7 981 728 0768 |
| Bank Name: VTB |
| Name: Alexey Viktorovich S. |
| Date: 2024-05-22 |
+-----------------------------------------------------------------------------+
| == Odnoklassniki User == |
| Phone: +7 981 728 0768 |
| OK ID: 575857446539 |
| Full Name: Alexey Stolyarov |
| Birthday: 01.01.1991 |
| Age: 31 |
| Gender: Male |
| City: Saint Petersburg |
| Country: Russia |
| Created: 2021-05-13 11:28:14 |
| Last Updated: 2017-09-12 |
| Profile Image URL: https://i.mycdn.me/i?r=AzGtYm1RBB0oPQKvJ2crBCCVNzpIYo-1 |
| WtYujZB2BhQ_-S8b9PyZmPGIO7ty0SQOYhE |
| External ID: 1668135874 |
| Profile Link: https://ok.ru/profile/575857446539 |
+-----------------------------------------------------------------------------+
| == Telegram User == |
| Telegram ID: 64630111 |
| Phone: +7 981 728 0768 |
| Username: Stoliarik |
| Last Updated: 2025-06-19 |
| Link: https://t.me/+79817280768 |
+-----------------------------------------------------------------------------+
| == TikTok User == |
| Phone: +7 981 728 0768 |
| Telegram ID: 6675300419747529734 |
| Username: stoliarovaleksei |
| Link: https://tiktok.com/@6675300419747529734 |
+-----------------------------------------------------------------------------+
| == Operator Info == |
| Phone: +7 981 728 0768 |
| Country: Russia |
| Operator: MTS |
+=============================================================================+
| == Leaked Data Summary == |
| Email: fitnessstoliarov@mail.ru |
| - Source: Bookmate.com (2018-07) |
| Fields: ip, username, email |
| - Source: CDEK (unknown date) |
| Fields: name, phone, email |
| - Source: Gemotest.ru (2022-04) |
| Fields: address, dob, first_name, last_name, middle_name, phone, email |
| - Source: Sberbank.ru (2021-08, unverified) |
| Fields: email |
+-----------------------------------------------------------------------------+
| == Snusbase Records == |
| Name: Alexey Viktorovich Stolyarov |
| Birthdate: 1990-02-25 |
| City: Saint Petersburg |
| Address: 23-ya liniya V.O., building 28, apt 40 |
| Email: fitnessstoliarov@mail.ru |
| Phone: +7 981 728 0768 |
| Source: GEMOTEST_RU_30M_HEALTH_042022 |
+-----------------------------------------------------------------------------+
| == Alfa Bank Clients (07.2023) == |
| Email: fitnessstoliarov@mail.ru |
| Full Name: Stolyarov Alexey Viktorovich |
| DOB: 25.02.1990 |
| Phone: +7 981 728 0768 |
| Card Numbers & Expiry Dates: |
| - 4154 8120 1095 3994 Exp: 2016-09-30 |
| - 7009 8434 8780 79 Exp: 2021-10-31 |
| - 4261 0126 5043 6778 Exp: 2028-12-31 |
| - 4154 8169 7566 2144 Exp: 2015-02-28 |
| - 5559 4927 6529 6796 Exp: 2028-12-31 |
| - 5559 4927 0133 7555 Exp: 2018-05-31 |
+=============================================================================+
================================================================================
[ personal details ]
───────────────────────────────────────────────────────────────────────────────
full name: aleksei stolyarov
date of birth: 25.02.1990
phone number: +7 981 728 07 68
emails: fitnessstoliarov@mail.ru
sasha.shkvarchuk.90@mail.ru
stal1990@mail.ru
[ bank cards ]
───────────────────────────────────────────────────────────────────────────────
1) number: 5559 4927 0153 1223
expiration date: 2018-01-31
bank: alfa bank
status date: 07.2023
2) number: 5559 3327 0531 5266
expiration date: 2028-12-31
bank: alfa bank
status date: 07.2023
3) number: 4154 2825 0503 3720
expiration date: 2016-07-31
bank: alfa bank
status date: 07.2023
4) number: 4154 8180 2036 1193
expiration date: 2015-04-30
bank: sberbank
status date: 08.2021
[ passport & id ]
───────────────────────────────────────────────────────────────────────────────
passport number: 4520964573 / 4010000931
snils: 133-875-740 85
gos number: р677не799
sber id: cea03ff966cb4ca4b5f800ff099fd034
last updated: 13.04.2020 12:58:26
[ addresses ]
───────────────────────────────────────────────────────────────────────────────
1) 23-ya liniya v.o., apt. 40, building 28
city: saint petersburg
2) ul. marshala rybalko, 2, apt. 508
city: moscow
3) moskva, 3-y kadashevskiy pereulok, d.7-9 s1
4) moskva, 3-ya ulitsa yamskogo polya, d.9 kv.a638
[ online & service accounts ]
───────────────────────────────────────────────────────────────────────────────
- cdek.ru client (regular)
location: moscow
last update: 18.03.2024
- skyeng.ru client
region: saint petersburg and leningrad oblast
last update: 2021
skype: link to email
- avito.ru user (2015)
emails: sasha.shkvarchuk.90@mail.ru, stal1990@mail.ru
- yandex food (eda.yandex.ru) client
orders sum: 2420 / 2500 rubles
last updates: 2021-07-01, 2021-09-12
[ parking usage records ]
───────────────────────────────────────────────────────────────────────────────
car plate: у526уе178
multiple parking sessions in december 2018, durations from 1 to 3 hours
sums between 40 and 380 rubles
================================================================================
[ russian clients & data ]
───────────────────────────────────────────────────────────────────────────────
[ eda.yandex.ru clients - 02.2022 ]
email: fitnessstoliarov@mail.ru
phone: +7 981 728 07 68
full name: aleksei stolyarov
address: moscow
comment: aleksei
latitude: 55.797787
longitude: 37.497153
order sum: 0
user agent: ios(5.16.0)
last update: 2021-07-16 09:48:05
email: fitnessstoliarov@mail.ru
phone: +7 981 728 07 68
full name: aleksei stolyarov
address: moscow, ulitsa marshala rybalko d.2k9 apt.508
entrance: 1
floor: 5
comment: aleksei
latitude: 55.797787
longitude: 37.497153
order sum: 1629
user agent: ios(5.15.0)
last update: 2021-06-24 17:37:08
[ telegram users - cisd & snp ]
tg id: 64630111
phone: +7 981 728 07 68
[ parking.mos.ru users - 01.2019 ]
phone: +7 981 728 07 68
plate number: У526УЕ178
parking number: 32XX A 3219
start: 2019-01-14 14:55:27
end: 2019-01-14 15:55:27
duration: 1:00:00
amount: 60.00 rub
phone: +7 981 728 07 68
plate number: У526УЕ178
parking number: 03XX A 0305
start: 2019-01-20 20:42:11
end: 2019-01-20 21:42:11
duration: 1:00:00
amount: 257.33 rub
start: 2019-01-20 21:45:33
end: 2019-01-20 22:45:33
duration: 1:00:00
amount: 200.00 rub
[ bank clients fl - 07.2013 ]
full name: stolyarov aleksei viktorovich
dob: 25.02.1990
document id: 4010000931
region: saint petersburg
phone: +7 981 728 07 68
permanent addr: saint petersburg
work addr: saint petersburg
work place: ooo pulkovo fitness
manager phone: +7 812 610-93-48
accountant phone: +7 812 610-93-48
tax id: 7810546048
guarantor phone: +7 812 321-85-58
last update: 2012-11-09
[ utair.ru clients - 02.2019 ]
full name: stolyarov aleksei
email: fitnessstoliarov@mail.ru
phone: +7 981 728 07 68
dob: 25.02.1990
passport: 4010000931
[ general fl collection until 2020 ]
full name: stolyarov aleksei viktorovich
phone: +7 981 728 07 68
email: stal1990@mail.ru
[ bases-brothers.ru users - 11.2020 ]
phone: +7 981 728 07 68
comment: Sabina (location): Vasileostrovskaya
[ gemotest.ru clients - 04.2022 ]
phone: +7 981 728 07 68
full name: stolyarov aleksei viktorovich
email: fitnessstoliarov@mail.ru
address: moscow, marshala rybalko d.2 k.9 apt.508
dob: 25.02.1990
passport: 4520964573
issued by: gu mvd russia moscow
[ telegram database ]
phone: +7 981 728 07 68
tg id: 64630111
[ rakamakafit.ru orders - 06.2022 ]
address: ul. marshala rybalko, d. 2k9, apt./office 508
last update: 2020-12-27
phone: +7 981 728 07 68
full name: aleksei stolyarov
comment: fitness loops: set of 3 pcs
collagen protein 300g, vanilla flavor
packet RAKAMAKAFIT
[ numbuster cisd parsing - 01.2019 ]
phone: +7 981 728 07 68
saved in contacts as:
- aleksei stolyarov
- stolyarov aleksei viktorovich
- aleksei stolyarov murataev
[ vk.com users - 2012 ]
vk id: 250900
full name: aleksei stolyarov
email: motor23@inbox.ru
phone: +7 981 728 07 68
password: powell321
city: leningrad
social: stal1990@mail.ru +7 981 728 07 68 376562758
religion: christianity
education: lesgaft national state university (ex spbgufk)
athletics coach
[ gosuslugi.esia users - 2022 ]
full name: stolyarov aleksei
phone: +7 981 728 07 68
[ noomeera.com users - 07.2023 ]
avatar url: https://eu-0.storage.noomera.ru/g2d-E2V0txY632lay1o2xbXusAk=/fit-in/980x980/avatars/55283b57b0bd4.png
dob: 25.02.1990
email: stal1990@mail.ru
comment: lesha
city: moscow
phone: +7 981 728 07 68
[ worldclass.ru clients - 10.2023 ]
full name: stolyarov aleksei viktorovich
dob: 25.02.1990
phone: +7 981 728 07 68
passport: 4010000931
issued date: 05.04.2010
department code: 780-005
issued by: tp #5 ufms russia spb vasileostrovsky district
registered: 17.09.2018
================================================================================
OSINT: @illusionist @cold / contact to me - @euvetements
my telegram channel - https://t.me/tryscreamer
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣠⣤⣤⣴⣴⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣂⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡏⠻⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡇⠀⠹⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⢿⣿⣿⡏⠀⢸⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⢸⣿⡿⠀⠀⢸⣿⣿⣿⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣾⣿⠇⠀⠀⣾⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢻⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡗⠀⠀⠀⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠹⡏⢿⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⡇⠀⠀⠀⢸⣿⣷⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣟⠿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⡇⠀⠀⠀⢸⣿⡟⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠸⣿⣿⣿⣿⣧⠀⠀⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⢾⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠿⢻⣿⣿⣿⣼⣿⣿⣿⠀⠀⠀⢸⢿⡇⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⣿⣿⣿⣿⡿⠀⠀⢀⣿⣿⡇⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡾⢸⣿⠇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⣿⣿⣿⣇⠀⠀⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢰⡇⣾⡿⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠛⠃⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⡈⠀⣿⠇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠁⡼⠋⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡇⠙⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⢿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢀⠀⠀⠀⢹⣾⣿⣿⠿⠟⠛⣿⣿⣿⢿⣿⣿⡆⠘⢇⠀⠙⠿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⡾⠋⡟⠁⠀⠀⠀⠀⢸⣿⣿⡆⠙⠟⠻⡍⠹⠒⢦⡀⠀⠠⢽⠚⠃⠀⠒⠂⣾⡏⣸⡏⣿⡇⠈⠙⠛⠻⠿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠁⠀⠈⠁⠀⠀⠀⠀⠀⢸⡟⢿⣷⠀⠀⠀⠀⠀⠨⡀⠉⠁⢀⠟⠀⠀⠀⠀⠚⠋⣰⠟⠀⣿⡇⠀⠀⠀⠀⠀⠈⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⢧⡀⠀⠀⠀⠀⠈⢣⡤⠟⠀⠀⠀⠀⠀⠀⠴⠋⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠰⣄⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠶⢾⡧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡔⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠹⣷⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡞⠁⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⢀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣠⣶⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⡧⠀⣿⡄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢠⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣠⣀⣠⣀⣤⣶⣿⣿⡇⠀⣿⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢿⣿⣿⣦⣀⣠⣤⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠇⠀⢸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⣿⣿⣷⣷⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣻⣿⣻⣿⣿⢻⣿⠃⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢿⠀⣻⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠃⣊⣿⣿⠇⠈⠈⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠳⣿⣿⠏⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣷⣯⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣞⣿⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡐⣾⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣿⣿⣿⣷⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣢⣤⣶⣿⣿⣿⣿⣿⡟⢄⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢞⣛⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣿⠙⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⢺⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣡⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣟⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢙⣿⣿⣿⣿⣿⣿⣿⣶⣟⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣾⣳⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣾⡿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠤⢟⣽⣿⣿⣿⣿⣿⣿⠃⣀⣀⣠⣤⣤⣼⣿⡏⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠁⢸⡟⢛⣛⣛⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣾⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⠟⠁⠀⠀⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠂⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠈⠿⠿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀