⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡠⠖⢉⣌⢆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠚⠉⠀⠈⠉⠲⣿⣿⡜⡀⠀⠀⠀⠀
⡔⢉⣙⣓⣒⡲⠮⡇⠀⠀⠀⠀⠀⠀⠘⡿⡇⡇⠀⠀⠀⠀
⡇⠘⣿⣿⣿⠏⠀⠀⠠⣀⡀⠀⠀⠀⠀⡇⠈⠳⡄⠀⠀⠀
⢹⠀⢻⣿⠇⠀⠀⣀⣀⠀⡍⠃⠀⠀⣠⣷⡟⢳⡜⡄⠀⠀
⠈⣆⠀⠋⢀⢔⣵⣿⠋⠹⣿⠒⠒⠚⠁⣿⣿⣾⣷⢸⠤⡄
⠀⡇⠀⠀⢸⢸⣿⣿⣶⣾⡏⡇⠀⠀⢀⡘⣝⠿⡻⢸⡰⠁
⠀⢳⠀⠀⠈⢆⠻⢿⡿⠟⡱⠁⠰⠛⢿⡇⠀⠉⠀⡸⠁⠀
⠀⠈⢆⠀⠀⠀⠉⠒⠒⣉⡀⠀⠀⢇⠀⡇⠀⠀⢠⠃⠀⠀
⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⢉⡱⠀⠀⠉⠀⢀⡴⠁⠀⠀⠀
⠀⠀⠀⠀⠈⠓⠦⣀⣉⡉⠁⢀⣀⣠⠤⠒⠥⣄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠰⣉⣀⣀⡠⠭⠛⠀⠀⠑⠒⠤⠤⠷⠀⠀⠀

⠀⠀⠀⢀⡎⠠⡋⡍⠀⢸⠦⢄
⠀⠀⢀⡐⠁⠑⠊⠉⠈⠐ ⠃⠀⠀⢈⠢⢀
⠀⡔⢱⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠲
⢰⠀⢸⢀⠀⠀⠀⠀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣘⠀⠀⠀⠀⠀⡎⢄⠀
⢸⡀⢹⣭⡷⠀⠀⠰⠀⢯⡟⠂⠀⠀⠀⠀⢠⣀⠇⠀ ⠀⠀⠀⢀⠁⠈⡄
⠀⠙⡔⠀⢋⠐⠒⢀⠀⠀⠒⠂⢄⢇⣠⣄⡜⠀⢀⣀⣀⣀⡠⠂⠀⢀⠃
⠀⠀⠋⡀⠨⡂⡔⠁⣀⠂ ⠀⢀⣹⢊⠌⠈⠉⠉⠀⠀⠀⠀⠈⠑⢤⠎
⠀⠀⠈⠡⠤⢄⡙⠋⢁⣠⢔⣌⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢆
⠀⠀⠀⠀⠀⠀⠀⠀⠢⢦⠀⠀⠀⠀⡀⠀⣀⣀⢤⠂⠁⢀⠀⠀⠀⠀⠀⠑⠄
⠀⠀⠀⠀⠀⠀⣀⠀⠔⠁ ⠀⠀⠀⢀⠉⠹⠉⠀⢸⠀⠀⠈⡏⠐⠓⡄⠀⠀⠈⡄
⠀⠀⠀⠀⠀⢸⠊⡠⠀⠀⠀⠀⢠⠟⡀⠜⠀⠀⠀⠉⠁⠈⠀⠀⠀⢇⣇⣃⠠⠃
⠀⠀⠀⠀⠀⠀⠑⠣⠤⠤⠄⠊⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⣀⣀⣀⠀⠀⠀⠀
⠀⠀⠀⣴⠟⠛⠓⠶⣤⠴⠶⢶⡿⠁⣶⣽⣯⠉⠁⠹⡆⠀⠀⠀
⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⡁⢼⣿⡏⠙⠻⣾⡛⢿⣆⠀⠀
⠀⠀⠀⣻⠋⠀⠀⠀⠀⠀⠀⠈⠓⠶⠞⠷⣤⣼⣯⠟⣸⡟⠀⠀
⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠞⢙⣆⣀⠀
⢠⡶⢾⡶⠤⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠚⢩⡏⠉⠁
⠀⢀⣼⣷⠒⠀⠈⠋⠀⠀⠀⢶⡲⠀⠀⠀⠛⠁⠀⡈⣹⠛⠛⠀
⠀⠀⢠⡼⠷⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠷⠆⠀
⠀⠀⠈⠀⠀⠀⠉⠙⠓⠒⠶⠶⠶⠶⠒⠚⠛⠉⠁⠀⠀⠀⠀⠀