
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
Cara is sitting at a rectangular table with her seven friends. How many different pairs of people could Cara be sitting between, considering that she must sit at one of the long sides of the table with three friends on each side of her?

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