⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣶⡾⡿⢿⣿⣿⣮⡂⠀⠀
⠀⠀⢸⡀⢀⢧⡒⢋⣉⣉⣉⣀⣀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢫⠑⡌⢢⠐⠘⡻⣿⣶⠊
⠀⠀⠈⢿⣷⣶⡿⠿⠛⡍⢋⠛⡟⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡟⠿⣶⣅⠀⠀⠀⠉⢿⣇
⠠⣔⣠⣴⣿⡟⡉⢆⠱⡈⢆⠱⣨⣶⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⠬⠗⠴⣫⢧⠀⠀⠀⠈⢯
⠀⠀⢩⣿⡟⠀⠀⠀⠀⠁⠊⣼⡟⡱⢒⢬⢻⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣄⠀⠰⣙⠾⠀⠀⠀⠀⠸
⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⣘⣛⣘⢱⠘⠁⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣂⢎⡱⣙⠂⠀⠀⠀⢀⠀
⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠸⡟⣬⢣⠱⡠⢖⣹⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⠀⠹⣮⠵⠃⠀⠀⣀⣠⠂⠀
⠀⠀⠀⠈⠻⡄⠀⠀⠀⠀⠀⠙⢜⠧⣣⠕⣎⡆⠀⢀⠠⢀⠂⡌⠰⣀⠒⡰⠠⢌⠰⡀⠍⡙⠛⠍⠁⠀⠘⡀
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠈⠐⢛⡸⠁⡐⠠⢂⠅⡊⠔⡡⢂⠱⣀⠣⢼⢂⠱⡈⠄⡁⠀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⢠⠀⠈⠒⠦⡤⠤⠤⡶⠚⠛⠁⠐⡀⢃⠌⢢⠑⡌⠰⣁⠒⡄⠣⠌⠢⠑⡀⠂⠀⠀⠀⠀⠰⠃
⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠈⠄⠡⢈⠡⠀⠡⠀⠁⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀
⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⣀⣁⠠⠤⠄⣒⣒⣒⡶⠖⠉⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣤⣤⣴⣶⡾⢭⠴⣲⢖⡫⢟⡽⣙⣟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠨⠁⠝⠩⠕⠪⢇⢯⡱⣮⡕⢯⡜⣣⠾⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠈⠢⣝⡱⢫⢷⠺⡥⠇⠀⠀⠀⠀⠀⠀