⠀⠀⠀⠀⠀⠀⣠⡤⠶⠒⢛⢻⠛⠛⠛⠛⠛⠛⢿⣛⡓⠶⢦⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡴⡫⠒⠊⠁⠀⣸⠀⠀⠀⠀⠀⠀⢹⠀⠀⠁⠒⡏⢳⡄⠀⠀⠀⠀
⠀⠀⠀⢀⡾⡑⡇⡀⠀⠀⠀⡷⠀⠀⠤⠤⠀⠀⢸⠀⠀⠀⠀⡇⡳⢻⡄⠀⠀⠀
⠀⠀⢀⡾⢱⠔⠁⡇⠀⠀⠀⣇⠀⣀⣀⣀⣀⣀⣀⡇⠀⠀⠀⠃⠱⣵⢻⡄⠀⠀
⠀⠀⡾⠁⢀⡀⢤⠗⠒⠒⢺⢳⠤⠶⠶⠶⠶⠶⢖⣷⠒⠒⠒⡦⢄⡀⠀⢹⡄⠀
⠀⢸⡇⠐⣁⠤⠬⠤⠤⣤⣼⣷⣵⣶⣶⣶⣶⣶⣽⣿⢤⣤⠤⠷⠤⢄⡁⠘⣇⠀
⠀⠘⣧⣞⣁⣀⡮⡯⡿⠛⠛⠫⠿⠭⠭⠭⠭⠽⠿⠛⠛⢻⠽⡿⣄⣀⣑⣦⠏⠀
⠀⠀⣿⢠⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠁⠈⣿⡆⢸⠀⠀
⠀⠀⣿⢸⣿⡀⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⣿⣇⢸⡀⠀
⢀⣴⡏⠥⠹⢇⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠤⠂⠁⠀⠀⠀⢠⠟⠥⠹⣧⡀
⣿⡼⢶⡒⠲⡚⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⡲⠒⣲⠷⢹
⣿⣗⡚⠨⠑⢌⠢⡘⠷⣤⣀⣴⣾⠻⠟⠛⠻⡻⣶⣄⣠⡴⠏⡠⢊⠔⡡⢺⢚⢸
⠙⢯⣗⣀⡀⠀⠑⠂⠥⢂⠭⣛⢵⣖⣒⣒⢲⡦⢟⠭⣕⠪⠅⠊⠀⠀⣁⣘⣯⠞
⠀⠀⢿⡑⢬⣑⢄⠀⠀⠀⠈⡟⡞⣯⣷⣢⢿⣇⡗⡏⠀⠀⠀⢀⢴⡁⢐⣹⠀⠀
⠀⠀⠀⠙⢻⡈⠳⣗⢄⣼⠓⣟⡏⣄⠩⠭⢡⡊⣗⡗⣷⣄⣴⡹⠋⡾⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠳⣤⡈⣷⣿⣆⢸⡇⠛⠀⠀⠘⠃⣿⢀⣿⣷⢋⣠⠾⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠻⠦⣭⣽⠇⠿⠀⠀⠸⠃⣯⣭⡥⠞⠋⠁⠀⠀⠀⠀⠀⠀
⢀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣳⣵⣶⣶⣷⣶⣾⡵⣋⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀
⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣽⣯⣿