
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
There are 12 people standing equally spaced around a circle. Each person knows exactly 4 others: the 2 people immediately next to them, the person directly across the circle, and every third person from their position moving clockwise. How many ways are there to pair up these 12 people into 6 pairs such that the members of each pair know each other?
A) 15
B) 16
C) 17
D) 18
E) 19

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