
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 math competition, there are $63$ students wearing blue shirts and $81$ students wearing red shirts, making a total of $144$ students. These students are divided into $72$ pairs. In exactly $29$ of these pairs, both students are wearing blue shirts. How many pairs consist of both students wearing red shirts?
A) 34
B) 36
C) 37
D) 38
E) 40

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