
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
The Universal Mathematics Summit (UMS) is written by a committee of four Martians, four Venusians, and four Earthlings. At meetings, committee members sit at a round table with chairs numbered from $1$ to $12$ in clockwise order. UMS rules state that a Martian must occupy chair $1$ and an Earthling must occupy chair $12$. Moreover, no Earthling can sit immediately to the left of a Martian, no Martian can sit immediately to the left of a Venusian, and no Venusian can sit immediately to the left of an Earthling. 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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