⠀⠀⠀⡀⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠈⠊⠛⠋⠙⠛⠛⠂⠀⠀⢀⠈⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠈⣀⢊⡜⠄⡇⠀⡐⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢆⢀⢣⣠⢣⡟⢻⣌⢴⡴⡀⡠⠃⠀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢄⠀⠈⠢⡢⣳⡿⣡⡟⠀⠀⠹⣎⢻⣝⣕⡴⠊⠀⡀⠀⠀⠀⠀
⠀⠀⠀⢀⡀⠈⢓⣿⣾⡟⣱⠏⠀⠀⠀⠀⠹⣦⢻⣿⣮⣒⠁⠀⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠩⢷⣿⡟⣼⣯⣴⣞⣛⣙⣓⡦⣜⣧⡹⣿⡶⠍⠁⠀⠀⠀⠀
⠀⠁⠀⠀⠀⢉⣽⢏⣼⣿⡛⠉⣇⢿⡿⢸⠋⢙⣿⢷⡹⣯⣉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣐⢎⡾⠃⠈⠙⠷⣮⣵⣾⣥⠶⠛⠁⠈⢷⡜⣆⠀⠈⠁⠀⠀
⠀⠀⠀⠈⢡⢣⣾⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣿⣌⠌⠁⠀⠀⠀
⠀⠀⠀⠀⠓⠒⢒⠖⠖⡶⣶⣶⣿⣷⣷⣷⣾⣿⢷⡲⠲⣖⠚⠚⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⢀⠜⠈⡼⠘⡏⡟⡟⢸⠡⢳⠁⠑⡄⠀⠑⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢠⠃⠀⡇⠀⡇⠀⢡⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣀⡁⣀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠛⠛⠛⠋⠙⠋⠃⠛⠉⠀⠑⠛⠛⠛