⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠈⢆⠀⠀⠀⠀⠀⠀⠀⢸⡄⣸⠀⠀⠀⠀⠐⠒⠠⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠄⠒⠀⠀ ⠀ ⠀⠀⣇⢀⣿⠀⠀⠀⠀⠀⠀⠀⣠⠃
⠀⠈⠳⣤⣀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠘⠦⡀⠀⠉⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠁⢀⡴⠂⠀⠀⠀ ⠀⠀⣹⢿⠇⠀⠀⠀⠀⢀⣠⠞⠁⠀
⠀⠀⠀⠀⢹⡟⠓⠦⡀⠀⢳⡈⢆⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠈⣿⣦⣀⠀⠀⠀⠀⢀⣴⣿⡃⠀⣠⣾⠋⠀⠀⠀ ⠀⠀⠀⡰⢋⡞⠀⢀⡤⠒⢛⡟⠁⠀⠀
⠀⠀⠠⠤⣼⣧⡀⠀⠘⠀⠀⢳⡈⠳⡀⠀⠀⠀⠲⢾⣿⣿⠛⠉⠈⠙⢦⡀⠀⡰⠋⠉⠉⠙⢿⣿⣷⠖⠀⠀⠀ ⠀⢀⡔⢁⡞⠁⠀⠋⠀⢀⣼⣷⠤⠄⠀⠀
⠀⠀⠀⠀⠀⠈⠙⠲⠤⢀⣠⣼⣿⣄⠙⠂⠀ ⣀⠈⣿⡇⠀⠀⠀⠀ ⠀⠁⠈⠀⠀⠀ ⠀ ⢘⣿⠁⣀⠀⠀⠀⠀⠊⢠⣾⣦⣄⣀⠤⠔⠋⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⠈⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⣿⡿⠁⠀⠀⠀ ⢀⣴⡿⠟⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣄⠀⠈⣦⡀⠙⣷⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⢀⣴⠏⣼⠏⢀⣴⠂⠀⣠⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣀⠀⢀⣠⢾⠿⠟⠻⣶⣉⣛⣷⣬⣇⠀⠻⣦⡀⠀⠀⢀⣴⡟⠁⣰⣧⣶⣟⣉⣿⠟⠛⠿⡿⢦⣀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠘⠒⠀⠐⠛⠇⠈⢻⠀⠈⠙⠦⣿⠙⢦⡴⠋⢻⡴⠛⠁⠀⡽⠁⠠⠛⠂⠀⠐⠃⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠓⠦⣀⠀⠈⠣⡀⢀⡴⠋⠀⢀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠂⠀⠙⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀