⣶⠶⢶⡆⠀⠀⠐⢶⣆⢠⣶⠆⢠⣶⠿⢷⣦⡀⢰⡆⠀⢰⣶⠀⢶⣆⢀⣶⠆
⠘⢿⣦⣼⡇⠀⠀⠀⠈⣿⣿⡃⠀ ⣿⡇⠀⠀⣿⡇⢸⣷⣤⣼⣿⠀⠈⣿⣾⡟⠀
⢠⣿⠃⢸⡇⠀⠀⢀⣼⡟⠹⣷⡀⠻⣷⣤⣴⡿⠃⠀⠉⠉⢹⣿⠀⣤⣼⡟⠀⠀
⠉⠉⠀⠈⠁⠀⠀⠈⠉⠀⠀⠉⠉⠀ ⠈⠉⠉⠀⠀⠀⠀ ⠈⠉ ⠉⠉⠀⠀
⢀⣴⡶⠶⢶⠀⢰⡶⠶⣶⣄⠀⠀⢠⣶⣶⡀⠀⠰⠶⢶⣶⠶⠦⢰⣶⠀⠀⠀⠀
⣾⡏⠀⠀⠀ ⠀⢸⡇⠀⣸⣿⠀⠀⣾⡇⢻⣧⠀⠀ ⠀⢸⣿⠀⠀ ⢸⣿⣤⣤⣄⡀
⢿⣇⠀⠀⠀ ⠀⢸⡟⠛⠛⠁⠀⢰⣿⣤⣼⣿⡆⠀⠀⢸⣿⠀⠀ ⢸⣿⠁⠈⢹⣷
⠈⠻⠷⠶⠾⠀⠸⠇⠀ ⠀⠀⠠⠿⠃⠀⠀⠸⠿⠀⠀⠸⠿⠀ ⠀⠸⠿⠶⠶⠿⠃

Ɑ͞ ͞ ͞ ͞ ͞ ͞ ﻝﮞ

⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡔⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡖⣖⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠃⡧⠀⠑⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢐⠥⠤⠥⠤⠆⢇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀
⠀⢠⠋⠉⠑⣇⠀⠀⠀⠀⠀⡾⢄⣀⡀⠀
⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡆
⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠉⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠃
⠀⠀⠀⠈⠉⠁⠃⠒⠒⠒⠒⠒⠋⠁⠀

⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⠤⠄⠂⠔⠒⠒⢒⢒⠒⠒⠦⡦⡀⣀⣀⣀⣶⣗⡴⢦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠤⢞⠉⠀⠀⠉⠁⠓⠢⣈⠁⠁⠂⠀⠈⠈⠈⠐⠤⢀⠀⠀⢐⠁⠀⠀⢈⣶⠀⠀⠀
⠀⠀⠀⢠⡗⠃⠀⠂⠀⠁⠀⢰⢤⣤⣤⣭⣅⡅⡤⠤⡄⣀⣄⣀⡀⣈⣈⠈⡀⠀⠀⣈⣿⠀⠀⠀
⠀⠀⠀⡿⡁⠁⠀⠀⡂⠐⠀⢹⣽⣯⡋⡇⠁⠉⠉⠉⠁⠋⠋⠉⠉⠉⠉⠩⠥⠟⠍⠁⠀⠀⠀⠀
⠀⠀⠀⢗⡇⡄⠨⠒⠀⠐⠈⣾⡟⠁⣢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠓⠧⣲⣒⣇⣤⣏⣁⣀⠔⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡰⠉⣸⠀⢡⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡧⠤⠤⢤⣀⣀⣀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀
⠀⠀⣠⠒⠉⠉⠣⡀⠀⠀⠀⣠⠜⠒⠒⢦⠀⠀⠀
⠀⡜⠀⠀⠀⠀⠀⠀⠹⡄⣰⠁⠀⠀⠀⠀⠀⢹⠀
⠀⣇⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⠀⠀⠀⠀⠀⠀⡇
⠐⠛⠲⠤⢤⣀⡀⡠⢼⢯⣀⣀⣀⣀⠤⠤⠞⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣶⣿⣿⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣠⣴⣾⣮⣝⠿⠿⠿⣻⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠟⠋⠑⠛⠋⠀⠀⠀⠀⠀