
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 has now turned her attention to a group of twelve college students. She continues her game, trying to guess whether any two students from this group like or dislike each other. How many distinct pairs of students can she observe before she runs out of pairs to evaluate?

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