⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⡀⠀⠀⠀⠀⣤⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣀⣸⠏⠘⣧⠀⠀⠀⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠈⠀⠀⠙⢛⣿⡿⠂⠀⠀⠠⠄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⣰⡏⠀⣀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡶⠟⠙⢷⣄⣇⠀⠀⠰⣶⣿⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠛⠀⠀⠚⠛⠿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⢀⣿⠛⠛⠻⠿⣿⣿⣷⡄⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢸⡏⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⢀⣀⠀⢠⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠿⠿⠿⣿⣶⣶⡆⠀⠘⠿⠿⠋⠀⠀⢻⣿⣿⣿⡏⠀⠀⠀⠘⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⢀⡄⠀⠀
⠀⠀⠀⠀⠀⣴⣶⣾⡏⠀⠀⠀⣀⡀⢠⡿⠀⠀⠀⠀⠀⢿⡲⠋⣇⣀⡀⠀⠸⡗⠋⣇⡀⠀
⠀⠀⠀⠀⠀⠻⣿⡿⠃⠀⠀⢺⣿⣿⣿⠃⠀⠀⡄⠀⢀⣜⣥⣄⡖⠋⠁⠀⠛⠒⣾⠉⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠀⢰⣿⡄⠀⠀⠀⠈⠛⠀⠀⡀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢿⡄⠀⠀⠀⠀⠐⣶⣷⠤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⠀⢀⣀⣠⣤⡤⠿⠀⠈⠿⠛⢛⣿⠟⠀⠁⠉⠀⠀⠀⠀⠀⠀
⠀⠈⠁⠀⠀⢦⣤⣿⣀⡀⠀⠀⠀⠉⠳⢦⣤⡀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⡀⠀⠀⠀⣰⠿⢿⡏⠁⠀⢀⡀⠀⠀⠀⣸⠃⢀⣤⣄⡈⣷⡀⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀
⠚⠏⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⣿⡴⠛⠁⠉⠛⠾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀