⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣄⠀⠀⠀⠀⠀⠀
⣰⠻⣤⠀⠀⠀⠀⠀⠀⠻⡅⠘⡆⠀⣀⠀⢀⡀
⡏⠀⡇⠀⠀⠀⠀⠀⠀⠀⡷⠀⡏⠀⢻⣿⣿⡟
⢫⡀⠙⢦⠞⠋⠉⠉⠉⠉⠀⡼⠀⠀⠙⠋⠀⠀
⠀⠑⢦⠀⢀⣤⡀⠀⢀⣤⡀⢻⠀⠀⠀⠀⠀⠀
⠀⠀⠘⡄⠸⣿⡃⠀⠘⣿⠇⣸⠀⣏⡧⡆⠀⠀
⠀⠀⠀⠘⠦⢄⣄⣤⣤⣴⠊⠁⣠⠛⠯⠽⠀⠀
⠀⠀⠀⠀⢀⡾⢋⠥⣃⢼⡷⠋⠛⢧⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢻⣯⠟⢺⡟⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀ ⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⡴⠞⠉⢉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⡉⠙⠳⣦⡀⠀⠀
⢀⣼⠋⠀⠀⢀⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠻⣆⠀
⣼⠃⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠹⡇
⡟⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⣿
⣿⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⢠⡿
⠘⣷⡀⠀⠘⢷⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⠟⠁⠀⣠⡾⠁
⠀⠈⠻⣦⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⣼⠋⠀⠀

⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀
⠀⠀⠀⢸⡇⢠⣶⣿⣿⣦⡀⠀⠀⠀ ⡠⣦⣿⣷⣦⡀⢸⡇⠀⠀⠀
⠀⠀⠀⠸⡇⣿⣿⣿⣿⣿⣶⠀⠀⠀ ⣿⣿⣿⣿⣿⣶⢸⡇⠀⠀⠀
⠀⠀⠀⢰⣇⢻⣿⣿⣿⣿⡟⠀⠀⠀ ⢿⣿⣿⣿⣟⡟⣼⠃⠀⠀⠀
⠀⠀⠀⠀⣻⣆⠙⠛⠛⠋⠀⠀⠀⠀ ⠈⠙ ⠛⠛⢁⣴⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠻⣿⡿⣶⣦⣤⣤⣀⣀⣀⣀⣤⣤⡶⠖⠋

⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⢻⡆⣱⣾⠟⠉⣽⢋⡟⣯⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠻⣿⠟⠁⣠⡾⠁⠜⢸⡉⠁⡽⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡏⣠⡾⠋⢀⠆⠀⣼⢷⡀⠸⣽⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⡿⠉⣀⡴⠋⠀⣰⢿⠀⠻⣄⢹⡇⠀⠀

⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣡⡾⠋⠀⣠⣷⣿⡈⢧⡀⠘⣾⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⠏⠄⢠⣾⣿⣿⣿⣿⣌⠳⣄⢹⡷⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠹⣧⡷⠏⣿⣿⡏⠈⣿⣿⣿⣾⣿⠛⠻⠷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠀ ⠀⢹⣿⡇ ⠀⣿⡟⠈⠉⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀ ⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣖⢤⡀⠀⠀⠀⠀⠀⠀⠀
⡐⠣⡄⠀⠀⠀⠑⡄⠙⠆⠀⠀⠀⠀⠀⠀
⡇⠘⢄⡄⠂⠉⠀⡀⠀⢸⠀⠀⠀⠀⠀⠀
⢃⡐⠁⠀⠀⠀⠀⠀⠀⡼⠆⠀⠀⢀⣴⠂
⠀⢁⠀⠀⣠⡀⠀⠀⠀⠀⢸⢀⣴⣿⠏⠀
⠀⠈⣿⡄⢹⣿⡄⠀⢀⡀⢠⣿⣿⠏⠀⠀
⠀⠀⠈⢇⠀⢉⣥⣾⣿⣷⣿⣿⠏⠀⠀⠀
⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣯⠱⡀⠀⠀
⠀⠀⠀⠀⠙⠋⢻⣿⣿⣿⣿⣿⡄⡇⠀⠀
⠀⠀⠀⠀⠀⠘⣼⣿⣿⣿⣿⣿⣷⡇⠀⠀
⠀⠀⠀⠀⠀⢠⣿⣿⡿⠛⡿⣿⡇⡇⠀⠀
⠀⠀⠀⠀⠠⠟⠋⠀⠈⠂⠌⠺⠇⠀⠀⠀