
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
Fiona is back at the park, this time she observes a larger group of twelve college students. Playing the same game as before, she tries to guess if pairs of students from this group are friends or not. How many unique pairs can she observe this time before she has evaluated every possible pair?

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