
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 65 students are wearing blue shirts and 67 students are wearing green shirts, and the 132 students are grouped into 66 pairs, determine the number of pairs in which both students are wearing green shirts.

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