
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 Extra-Terrestrial Mathematical Assembly (ETMA) consists of six Martians, six Venusians, and six Earthlings who meet to discuss intergalactic number theory. During their meetings, they sit around a round table which has 18 seats numbered from 1 to 18 in a clockwise manner. According to the assembly rules, a Martian must occupy seat 1, and an Earthling must occupy seat 18. Additionally, 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. Lastly, there cannot be more than two consecutive members from the same planet. Find the number of possible seating arrangements that satisfy these conditions.

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