⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣌⢷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣞⣦⡴⣲⡶⢶⣫⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠴⢺⣿⣿⣿⣿⣿⣶⣶⣯⣽⣿⣿⣿⢶⢄⠀⠀⠀⠀ ⠀⣾⣶⡤⢆⡠⠬⢳⣿⣮⢭⣿⡿⣷⣿⣿⣿⣟⣿⠯⠿⡧⣲⡇⠀ ⠀⢛⣼⣛⣷⣦⣄⡠⣀⠙⠛⡛⡿⣿⣿⡟⡚⣽⣿⣿⣿⣟⣽⠀⠀ ⢀⣨⡧⣟⣾⡿⣿⣾⣿⣿⣻⣟⠷⣙⣿⣿⣿⣽⣾⣷⢯⣿⢿⠀⠀ ⠙⢻⢯⣿⣿⣿⣿⣟⠿⠟⣯⠏⠚⠋⠙⠻⣿⣟⣿⣿⣽⣿⣻⣿⠶ ⠀⠸⣿⣟⣛⣾⣶⣮⡂⠘⠁⠀⢄⣀⡀⢠⢿⡯⣿⣿⣿⣵⣿⣿⡿ ⠀⠈⠘⢗⡯⣇⢿⣿⠃⠀⠀⠘⣽⣿⣿⣿⣽⣯⣟⣿⣿⣿⠟⠋⠀ ⠀⠀⠀⠀⠑⡟⠀⠁⢀⣀⡀⠀⠙⠿⠫⣿⣟⣥⣾⣿⠿⡟⠀⠀⠀ ⠀⠀⠀⠰⣙⠙⠢⢄⣸⢿⠿⠀⢀⣀⣠⣶⡛⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠤⣼⣿⣿⣿⣫⠋⠛⠛⠓⢒⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡐⡞⡵⡕⠁⣿⣿⣏⠒⠒⠒⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣟⣛⣷⣿⣾⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢏⠋⠙⠛⢻⢻⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢺⢽⣢⣖⣄⢄⣈⣿⣟⠀⠈⠉⠳⠦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣇⡴⠋⠈⡏⠙⡞⠃⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠋⣁⣀⣀⣧⣼⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀