
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 science fair, 64 students are wearing green shirts, and another 68 students are wearing red shirts. The 132 students are grouped into 66 pairs. In exactly 28 of these pairs, both students are wearing green shirts. Determine the number of pairs in which both students are wearing red shirts.

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