
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Twelve women sit in $12$ seats in a line. All of the $12$ get up and then reseat themselves using all $12$ seats, each sitting in the seat she was in before or in one of the two seats adjacent to the one she occupied before. Find the number of ways the women can be reseated.

Present the answer in LaTex format: \boxed{Your answer}
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