
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
Eight chairs are evenly spaced around a circular table. Each of the eight people initially seated gets up and moves to a new position. Each person must sit in a chair that is neither the same as their original one nor adjacent to it. Find the number of ways this rearrangement can be achieved such that again one person occupies each chair.

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