
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
In a park, Fiona observes two groups of people: one with 12 teenagers and another with 8 adults. She decides to count how many unique pairs she can observe where each pair could be either two teenagers, two adults, or one teenager and one adult. How many unique pairs can Fiona observe?

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