
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 $8$ people standing equally spaced around a circle. Each person knows exactly $4$ of the other $7$ people: the $2$ people standing next to them, one person exactly two spaces to their left, and one person exactly two spaces to their right. How many ways are there for the $8$ people to split up into $4$ pairs so that the members of each pair know each other?
A) 8
B) 9
C) 10
D) 11
E) 12

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