
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, with one person seated in each chair. Each person moves to a new chair, ensuring that they neither sit in the same chair nor in the chairs directly adjacent to their original seat. Calculate the number of such seating arrangements possible.

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