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