⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⡠⠒⠒⠢⠢⠤⠤⣀⣀⡀⡀⢀⢀⡠⡠⠤⠤⠖⠖⠉⠉⠉⠉⢒⢒⣒⣒⣲⣲⠤⠤⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⡠⠒⠒⠢⠢⠤⠤⣀⣀⡀⡀⢀⢀⡠⡠⠤⠤⠖⠖⠉⠉⠉⠉⢒⢒⣒⣒⣲⣲⠤⠤⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡠⠃⠃⢠⢠⠊⠊⠉⠉⣉⣉⣁⣁⣛⣛⡳⡳⠤⠤⠤⠤⠔⠔⠒⠒⢈⢈⣩⣩⠖⠖⠒⠒⠦⠦⠤⠤⠽⠽⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⡠⡠⠃⠃⢠⢠⠊⠊⠉⠉⣉⣉⣁⣁⣛⣛⡳⡳⠤⠤⠤⠤⠔⠔⠒⠒⢈⢈⣩⣩⠖⠖⠒⠒⠦⠦⠤⠤⠽⠽⣄⣄⠀⠀⠀⠀⠀⠀⡰⡰⠃⠃⠀⠀⠀⠀⠀⠀⠼⠼⠁⠁⠀⠀⠀⠀⠈⠈⠑⠑⠢⠢⠤⠤⠋⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⡄⡄⠀⠀⠀⠀⡰⡰⠃⠃⠀⠀⠀⠀⠀⠀⠼⠼⠁⠁⠀⠀⠀⠀⠈⠈⠑⠑⠢⠢⠤⠤⠋⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⡄⡄⠀⠀⢰⢰⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⣤⣤⢄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡤⢤⢤⣤⣤⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⢰⢰⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⣤⣤⢄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡤⢤⢤⣤⣤⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⡎⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠛⠛⠛⠛⠂⠂⠀⠀⠀⠀⠀⠀⠈⠈⠛⠛⠛⠛⠃⠃⠀⠀⠀⠀⣠⣠⠃⠃⠀⠀⡎⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠛⠛⠛⠛⠂⠂⠀⠀⠀⠀⠀⠀⠈⠈⠛⠛⠛⠛⠃⠃⠀⠀⠀⠀⣠⣠⠃⠃⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⠃⠃⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⠃⠃⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡤⡤⠴⠴⠲⠲⠶⠶⢤⢤⣤⣤⠤⠤⣼⣼⣿⣿⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣀⣀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡤⡤⠴⠴⠲⠲⠶⠶⢤⢤⣤⣤⠤⠤⣼⣼⣿⣿⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣀⣀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣸⣸⡈⡈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡆⡆⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣸⣸⡈⡈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡆⡆⠀⠀⠸⠸⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⢹⠒⠒⠒⠒⠋⠋⠁⠁⢷⢷⣄⣄⣀⣀⣀⣀⣀⣀⡀⡀⢰⢰⠃⠃⠀⠀⠸⠸⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⢹⠒⠒⠒⠒⠋⠋⠁⠁⢷⢷⣄⣄⣀⣀⣀⣀⣀⣀⡀⡀⢰⢰⠃⠃⠀⠀⠀⠀⠱⠱⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡀⡀⠀⠀⠀⠀⢀⢀⡴⡴⠃⠃⣠⣠⠞⠞⠀⠀⠛⠛⠁⠁⠀⠀⠀⠀⠀⠀⠱⠱⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡀⡀⠀⠀⠀⠀⢀⢀⡴⡴⠃⠃⣠⣠⠞⠞⠀⠀⠛⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠑⠑⢄⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢉⢉⣉⣉⠔⠔⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠑⠑⢄⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢉⢉⣉⣉⠔⠔⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠑⠢⠢⠤⠤⠤⠤⠤⠤⠤⠤⠔⠔⠒⠒⠊⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠑⠢⠢⠤⠤⠤⠤⠤⠤⠤⠤⠔⠔⠒⠒⠊⠊⠀⠀⠀⠀⠀fuggg x---DDD 
