⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⡉⠀⠀⠀⣀⠠⠔⠤⠠⢄⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠉⠑⠒⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡕⠀⠀⠀⠀⡀⢀⠖⠈⠀⠀⠀⠀⠀⠀⠀⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⡼⠕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠃⠁⠑⠐⠠⢀⠀⠀⠀⢐⡀⠀⠀⠀⡜⠀⠠⠀⠀⠀⠀⡀⠠⢄⢀⡄⠄⠴⠤ ⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⡇⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠳⢆⠀⠀⠈⠲⢄⠳⠀⠀⡀⠁⠀⠀⠀⠄⠄⣉⠙⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⡀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⡇⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⠃⠄⠀⠀⠐⠙⠄⠈⠀⠲⣤⡞⠤⣠⠏⠉⠱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⠈⠑⠦⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⡇⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⡎⠀⣀⣹⣷⣥⣤⠤⢥⠀⣀⣀⠠⠜⠁ ⠀⠀⠀⠀⢸⡀⠀⠀⠀⠻⡄⠀⠀⡖⠐⠒⠤⣀⠀⠀⠀⠀⠱⣷⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⣕⠋⠙⢦⠀⡇⠀⢳⠀⡍⠉⠒⢄⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠹⣄⠀⡇⠀⠀⠀⠀⠙⠢⣄⠀⠀⢹⡀⢠⠂⠀⠒⠦⡀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠼⠁⠀⠀⠀⠀⠈⠷⣄⣠⣵⠎⠒⠚⡏⠀⠀⠀⠀⠀⢣⠀ ⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠙⣆⢡⠀⠀⠀⠀⠀⠀⠀⠑⢄⠘⡇⡌⠀⠀⠀⠀⠈⠓⢌⢧⠀⠀⠀⠀⠀⠀⠀⠷⡉⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⡄⠀⡤⠠⢄⡈⢯⡆⠀⠀⠀⠀⠀⠀⠀⠈⠣⣻⠃⠀⠀⠀⠀⠀⠀⠈⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠱⠻⢏⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡶⠦⠤⢤⡤⢄⡀⢸ ⠀⠀⠀⠀⠀⠀⠀⠹⡄⡇⠀⠀⠈⠉⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠒⡶⣋⡀⢨⣠⡤⠤⠤⢦⡀⠈⠘⢄⠀⠀⠀⢇⠀⠳ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⡩⠖⠀⠊⠁⠀⠀⠀⠀⠈⠑⠢⣄⢹⠐⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠹⣷⠄⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢰⠁⠀⠀⡸⠀⠀⠀⠀⢠⠀⠀⠀⠀⡰⠇⠀⠀⠉⡇⠀⠀⣀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⣠⠇⡀⠀⢀⠇⠀⢀⡀⠀⡞⠀⠀⠀⢠⡇⠦⠀⠀⠑⠒⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⣦⣤⣀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⠀⡌⠉⠉⠒⢞⣃⠠⠂⠀⠀⠀⠀⠀⢃⢸⠁⠀⠀⠀⡞⠀⠈⠛⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠊⠉⠁⠀⠀⠉⠙⠳⠦⣬⣓⡦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⢀⠘⡇⠀⠀⠀⡜⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣝⣩⣷⠂⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣄⠈⠘⠏⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠊⠋⠁⠀⠃⡄⣠⠶⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡧⡇⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣺⠀⠀ ⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠡⠤⣀⣀⡀⡸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠈⠣⡀⠀⠀⠀⠀⠀⢀⠇⠐⡀⠀ ⡤⠊⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠒⠠⠠⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠈⠳⣄⠀⠀⠀⠀⢸⠠⠦⠏ ⠁⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⢩⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠈⠳⣄⣀⡠⠊⠁⠀⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠈⠳⣄⠀⠀⠀⠀ ⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡒⠁⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠈⢳⡀⠀⠀ ⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⢳⡀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⢀⠀⠀⣷⠀ ⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⢿⠀⠀⣸⡄ ⠀⠀⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠊⠀⠀⠀⠀⠀⠀⠀⣾⠢⠊⣾⠚⠦⠋⡇ ⢤⡀⠀⠙⠦⣄⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢰⠇⠀⠀⠀⡇ ⠀⠙⠢⡖⠚⠉⠉⠉⠉⠒⢾⠲⣠⠂⡎⢀⠤⠒⢲⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢰⡄⠀⠀⢻⡀⢰⠁ ⡆⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠉⠠⠳⠁⠀⢀⡎⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠠⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠇⠀⠀⠀⠡⡜⠀ ⡇⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⢀⡶⠰⣝⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀ ⠇⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠹⡿⠶⠦⠤⠤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠛⠛⠒⠶⠏⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠏⠶⠒⠛⠛⠙⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣄⣤⣤⠤⠤⠦⠶⡿⠹⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠇ ⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣝⠰⡶⢀⠋⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⠀⡇ ⠀⡜⠡⠀⠀⠀⠇⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀⠀⠁⠠⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⡎⢀⠀⠁⠳⠠⠉⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⠀⡆ ⠁⢰⡀⢻⠀⠀⡄⢰⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢲⠒⠤⢀⡎⠂⣠⠲⢾⠒⠉⠉⠉⠉⠚⡖⠢⠙⠀ ⡇⠀⠀⠀⠇⢰⠀⡏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⣄⠦⠙⠀⡀⢤ ⡇⠋⠦⠚⣾⠊⠢⣾⠀⠀⠀⠀⠀⠀⠀⠊⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣄⢳⠀⠀ ⡄⣸⠀⠀⢿⢀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀ ⠀⣷⠀⠀⢀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸ ⠀⡀⢳⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠃⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦ ⠀⠀⡀⢳⠈⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠁⡒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⣄⠳⠈⠀⠀⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠋⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰ ⠀⠀⠁⠊⡠⣀⣄⠳⠈⠀⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢩⠀⠀⠀⠀⠊⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⠁ ⠏⠦⠠⢸⠀⠀⠀⠀⣄⠳⠈⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢠⠀⠠⠠⠒⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠊⡤ ⠀⡀⠐⠇⢀⠀⠀⠀⠀⠀⡀⠣⠈⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡸⡀⣀⣀⠤⠡⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠔⢀⠀⠀⠀ ⠀⠀⣺⣀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⡇⡧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠶⣠⡄⠃⠀⠁⠋⠊⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠏⠘⠈⣄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠂⣷⣩⣝⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡠⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⡜⠀⠀⠀⡇⠘⢀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡦⣓⣬⠦⠳⠙⠉⠀⠀⠁⠉⠊⠴⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢆⠛⠈⠀⡞⠀⠀⠀⠁⢸⢃⠀⠀⠀⠀⠀⠂⠠⣃⢞⠒⠉⠉⡌⠀⠀⠀⠀⠢⠈⠀⠀⠀⠀⠀⠀⣄⠦⠙⠀⣀⣤⣦⢓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠒⠑⠀⠀⠦⡇⢠⠀⠀⠀⡞⠀⡀⢀⠀⠇⢀⠀⡀⠇⣠⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀⠀⡀⢧⠈⠀⠀⠀⡀⢤⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⣀⠀⠀⡇⠉⠀⠀⠇⡰⠀⠀⠀⠀⢠⠀⠀⠀⠀⡸⠀⠀⠁⢰⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢆⠘⠀⠀⠀⠀⠀⠀⠄⣷⠹⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠐⢹⣄⠢⠑⠈⠀⠀⠀⠀⠁⠊⠀⠖⡩⠀⠀⠊⣠⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⣄⢷⠈⠀⠀⠀⠀⠀⣇⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⠀⢇⠀⠀⠀⢄⠘⠈⡀⢦⠤⠤⡤⣠⢨⡀⣋⡶⠒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣇⠹⠀⠀⠀⠀⠀⠀⠀⠀⣄⠻⠉⠈⠀⠀⡇⡄⠹⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⢄⡤⢤⠤⠦⡶⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢏⠻⠱⠀⠀⠀⠀⠀⠀⠀⠀⡆⠻⠈⠀⠀⠀⠀⠀⠀⠃⣻⠣⠈⠀⠀⠀⠀⠀⠀⠀⡆⢯⡈⢄⠠⡤⠀⡄⠹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠁⡉⠷⠀⠀⠀⠀⠀⠀⠀⢧⢌⠓⠈⠀⠀⠀⠀⡌⡇⠘⢄⠑⠀⠀⠀⠀⠀⠀⠀⢡⣆⠙⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀ ⠀⢣⠀⠀⠀⠀⠀⡏⠚⠒⠎⣵⣠⣄⠷⠈⠀⠀⠀⠀⠁⠼⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⡀⠦⠒⠀⠂⢠⡀⢹⠀⠀⣄⠢⠙⠀⠀⠀⠀⡇⠀⣄⠹⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⢄⠒⠉⡍⠀⢳⠀⡇⠀⢦⠙⠋⣕⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⣷⠱⠀⠀⠀⠀⣀⠤⠒⠐⡖⠀⠀⡄⠻⠀⠀⠀⡀⢸⠀⠀⠀⠀ ⠁⠜⠠⣀⣀⠀⢥⠤⣤⣥⣷⣹⣀⠀⡎⠀⠀⠀⠀⡄⠳⠈⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⢦⠘⠀⠀⠀⠀⠀⡇⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣽⠦⠑⠈⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠱⠉⠏⣠⠤⡞⣤⠲⠀⠈⠄⠙⠐⠀⠀⠄⠃⠈⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⡇⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⡀⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⣉⠄⠄⠀⠀⠀⠁⡀⠀⠀⠳⢄⠲⠈⠀⠀⢆⠳⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⢄⠙⠀⠀⡇⠀⠀⠀⠀⣄⠳⠉⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀ ⠤⠴⠄⡄⢀⢄⠠⡀⠀⠀⠀⠀⠠⠀⡜⠀⠀⠀⡀⢐⠀⠀⠀⢀⠠⠐⠑⠁⠃⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠕⡼⠀⠀⠀⠀⠀⠀⣄⢦⠙⠈⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠁⠋⠀⠀⠀⠀⠀⠀⠀⠈⠖⢀⡀⠀⠀⠀⠀⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠒⠑⠉⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⢄⠠⠤⠔⠠⣀⠀⠀⠀⡉⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀