
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
Parker and Quinn went for a month-long expedition and agreed to split all expenses. Throughout the month, each made several payments for mutually used resources such as food and lodging. By the end of the expedition, Parker had paid P dollars, and Quinn had paid Q dollars, where \( P > Q \). How many dollars must Quinn pay Parker to balance their shares equally?
A) \( \frac{P+Q}{2} \)
B) \( \frac{Q-P}{2} \)
C) \( \frac{P-Q}{2} \)
D) \( P-Q \)
E) \( P+Q \)

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