
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 chemistry competition, 68 students are wearing white lab coats, and another 74 students are wearing green lab coats. The total of 142 students are divided into 71 pairs. In precisely 29 of these pairs, both students are wearing white lab coats. How many pairs consist of both students wearing green lab coats?
A) 28
B) 29
C) 30
D) 32
E) 34

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