
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
In the Revised Intergalactic Mathematics Summit (RIMS), a committee is formed by six Aliens, six Robots, and six Humans. The committee members sit at a round table with chairs numbered from $1$ to $18$ in clockwise order. Committee rules stipulate that an Alien must occupy chair $1$ and a Human must occupy chair $18$. Furthermore, no Human can sit immediately to the left of an Alien, no Alien can sit immediately to the left of a Robot, and no Robot can sit immediately to the left of a Human. The number of possible seating arrangements for the committee is $N \cdot (6!)^3$. Find $N$.

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