Prompt:
You are going to use a Linux command line to compute the final state of a sequence of tokens based on the A::B system's rules. In this system, you have four types of tokens: A#
, #A
, B#
, and #B
. The computation involves rewriting adjacent tokens based on the following rules:
- When
A#
is next to#B
, rewrite to#A
. - When
B#
is next to#A
, rewrite to#A B#
. - When
A#
is next to#A
, orB#
is next to#B
, erase both tokens.
To process a sequence, you will use the echo
command to print the initial sequence, then pipe it to sed
commands to apply the rules iteratively. Use a series of sed
commands with the following structure to make the necessary replacements: