
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]


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The Interstellar Academic Olympiad Committee (IAOC) has a sitting arrangement for a meeting consisting of four members each from Mercury, Venus, and Earth. They are seated around a circular table with chairs numbered from $1$ to $12$ in clockwise order. According to their rules, a member from Mercury must occupy chair $1$ and a member from Venus must occupy chair $12$. Moreover, no member from Mercury can sit immediately to the left of a member from Venus, no member from Venus can sit immediately to the left of a member from Earth, and no member from Earth can sit immediately to the left of a member from Mercury. The number of possible seating arrangements for the committee is $N \cdot (4!)^3$. Find $N$.

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