
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
Given that 63 students are wearing blue shirts, 69 students are wearing yellow shirts, and 132 students are assigned into 66 pairs, where 27 of these pairs consist of two blue shirts, determine the number of pairs where both students are wearing yellow shirts.

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