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