⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀
⠀⠀⠀⠀⠀⡄⣶⣶⣄⠀⠀ ⠀ ⡌ пудж мом ⡆ ⠀⠀ ⠀
⠀⠀⠀⠀⠘⣇⣾⣿⡟⠀⠀⠀⢸дагон атос⢸⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣿⣿⣿⡤⠀⠀⠀ ⠀⠈⠲⠤⠤⠤⠔⠁⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠸⢏⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠈⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢘⡀⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢻⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⠛⠛⠛⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣀⣀⣀⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣟⣯⣼⣿⣷⣶⡶⠶⠶⠶⠶⠶⠶⣶⣶⣤⣤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⡾⠿⠿⠉⠉⠉⠿⠇⠀⠀
⠀

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⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀⠀ владос хахол
⠀⠀⠀⠀⠀⠀⠀ владос pycня ⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣠⠤⠴⠚⣹⣉⠉⠉⠉⣉⢹⡖⠦⠤⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠈⢙⠢⣤⣄⣤⣤⣤⠤⠖⠋⠀⡿⡀⠀⣰⣿⠟⢀⣀⡀⠻⢿⣷⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣷⡀⠀⠒⢨⠇⠀⠩⡄⠐⠀⠀⢸⡃⠙⠦⣧⠀⠀⣿⣿⡗⠀⠀⠈⣳⠞⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡟⠁⢀⣤⣬⠀⠀⠀⣥⣦⡄⠀⠀⡇⠀⠀⢻⢠⣠⣿⣿⣷⣤⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣧⠄⡘⠛⠛⣀⠀⠀⠛⠛⡁⠘⢶⡇⠀⠀⢸⠀⠻⣙⣛⣩⠞⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠹⣬⠿⠁⠀⠈⣻⠉⠀⠀⠑⠢⢼⠃⠀⠀⢸⠀⠀⠈⠉⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣯⢐⡆⠀⡀⠉⠁⠀⠀⠀⠀⢸⣀⣀⡤⠚⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡰⠚⢳⣿⣿⣼⣵⡽⣦⣾⢖⣀⢠⣴⣎⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀
⠀⢰⡇⠀⠀⠉⠙⣿⢟⣿⣿⣿⢿⣿⡏⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠱⣄⠀⠀⠀⣻⣿⣿⣿⣿⣿⢿⣿⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣰⣟⠳⣦⣤⣿⣯⣝⣛⡋⠐⢤⣠⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢦⠀⠀⠀⠀⠀
⠀ ⢠⣿⣿⣿⣦⡿⠿⠯⣭⣭⡔⣆⠉⠛⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⣿⣿⡗⡇⠀⠀⠀⠀⠀⠀
⠀⣾⣿⣿⣿⣛⣯⣿⣿⣿⡍⢾⠟⠁⣸⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⣿⡷⠞⠁⠀⠀⠀⠀⠀
⠀ ⣿⣿⣿⣿⣯⣽⣿⣿⣿⡝⢀⡧⣾⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣧⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀
⠀⠸⣿⣿⣯⣤⠬⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢱⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣷⠖⢐⢆⠘⢿⣿⣿⣿⢽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠘⡄⠀⢀⡇⠀⠀⠀⠀⠀⠀