⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡿⡿⡿⡟⡿⠿⠿⠿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣴⣝⣟⡿⡿⡿⣿⣿⣿⣾⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠻⠏⢁⠙⠙⠙⠉⠁⠀⠙⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⡄⠀⠀⢀⠀⠀⠀⠀⠀⢸⠀⢙⣥⣴⣄⠛⠃⡀⢈⡆⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀
⠀⢤⣤⣷⡀⠀⢼⠀⠀⠀⠀⢀⣶⠠⠍⢉⠉⣁⠀⠦⠁⠐⣷⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠂⠀
⠀⠀⠀⠈⠹⣦⣜⡃⠀⠀⠀⠠⠛⣁⣄⡉⠀⡉⠀⣤⡾⢂⣿⠄⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢷⣄⡠⣰⠓⢼⣿⠋⣠⣿⠟⣨⣿⡇⠘⠋⠙⣦⠀⢀⣬⡴⠛⠛⠛⠶⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⣺⠅⠀⠀⠀⢀⢩⣫⠀⠋⠋⠁⠀⠀⢠⡮⢟⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠿⠃⠹⠀⣾⣗⠀⡄⠀⠀⢨⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⡽⠃⠀⠀⢀⣠⡀⠀⢸⣿⠁⢨⣿⡄⢀⡼⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢴⠋⠀⠀⠀⠀⠸⠻⠂⠀⠀⠛⠂⣾⣿⠠⡿⡋⢆⢻⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢐⡟⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠻⡟⢠⢰⡘⠆⠈⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⡃⠀⠀⠀⠀⠠⣿⣿⠀⠀⠀⠀⠀⠀⠈⠺⠡⠁⠀⠀⢽⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠁⠀⠀⠀⠀⠀⠀
⠀⠊⠋⠊⠒⠒⠌⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡟⠑⠚⠑⠑⠓⠆⠂⠀
⠀⡠⢄⢠⡠⣀⢄⣀⣈⠽⣂⡀⠀⠀⠀⠀⠀⠀⡀⠀⡀⣀⢀⠀⡴⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠙⣒⡤⠔⠒⠓⠙⠙⠙⠙⠙⠙⠛⠙⠑⠓⠢⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀