
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 observing a group of twelve high schoolers at a cafe. She is curious about their relationships and tries to categorize each pair of students as either liking, disliking, or being indifferent to each other. How many pairs of students can she categorize before she exhausts all possible combinations?

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