⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⡀⠂⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⢿⠓⠀⢀⡴⡏⠀⠀⠀⠀⠀⠀⣀⠔⢂⠁⠁⠀⠀⡐⠈⠀⠀⠀
⠀⠀⠹⡒⠤⣀⡀⠀⢀⡴⠋⢠⠇⠀⠀⠀⠠⠐⠈⠀⠀⠀⠀⡀⠐⠁⡐⠁⠀⠀⠄
⠀⠀⠀⠱⡀⠀⠉⠑⠋⠀⠀⣸⠀⠀⠐⠈⠀⠀⠀⠀⠀⢀⠄⠁⢀⠂⠀⠀⠀⠨⠀
⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠉⠒⠤⣀⡀⠀⠀⠀⠀⡄⠁⠀⡀⠠⠁⠀⠀⠀⠁⠀
⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⠵⠦⡠⠈⠀⠀⠀⡐⠁⠀⠀⠀⠂⠀⠀
⢀⡤⠋⣀⣀⣀⣤⠀⠀⠀⢰⠋⠉⠀⠀⠀⢀⠂⠀⠀⠀⠈⠠⠀⠀⠀⠀⠰⡁⠀⠀
⠈⠉⠁⠀⠀⠀⠀⢧⠀⠀⡏⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠅⠀⠀⠀
⠀⢐⣶⣆⠀⠀⢠⠈⢇⢰⠃⠀⠀⠄⠁⠀⠀⢀⠀⢀⠂⠀⠀⣰⡄⠀⠂⠐⠀⠀⠀
⠀⠈⠙⠀⠀⠀⣏⣧⠈⠟⠀⢀⠁⠀⠀⠀⠽⡿⠆⠇⠀⠀⢀⣿⣿⣦⣶⣶⠟⠀⠀
⠀⠀⠀⠀⣀⣸⣿⣯⢧⠤⣤⣦⣴⠦⠀⠀⠀⠁⠀⠀⠛⠿⣿⣿⣿⣿⣿⡁⠀⠀⠀
⠀⠙⠯⡻⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠰⣄⣠⡇⠀⠂⠀⠀⢸⣿⡿⠛⠛⠿⣆⠀⠀
⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⢿⣿⠟⠒⠀⠀⠀⠸⠊⠁⠀⢐⠀⠀⠀⠀
⠀⠀⠀⠀⡾⣿⠿⠺⢝⡯⢧⠀⠀⠀⠀⠀⠻⠀⠀⠀⠂⠀⠀⠀⠀⡐⠂⠀⠀⠠⠁
⠀⠀⠀⢼⠓⠁⠀⠀⠀⠉⠺⠆⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⢀⢿⠐⠀⠀⠀⡐⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⡜⡌⡇⠀⠀⡐⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⡒⠒⠛⠁⠀⠘⠒⠒⢲⡶⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣖⠀⠈⢢⠀⠀⠀⠀⡤⠛⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠉⠀⢠⠇⢀⡤⣀⠌⢳⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠊⠁⠀⠈⠳⣼⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠈⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⣀⠀⠀⢀⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢾⣿⣟⠁⠀⠀⠺⡟⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⢉⠓⠀⠀⠀⠀⠀