
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
Three friends, Alexi, Jamie, and Dana, went on a weekend road trip and agreed to share the costs for food, gasoline, and accommodation equally. Over the weekend, Alexi paid $X$ dollars, Jamie paid $Y$ dollars where $Y > X$, and Dana paid $Z$ dollars where $Z > Y$. How many dollars must Jamie give to Dana so that they share the costs equally?
**A)**  $\frac{X - Y}{3}$  
**B)**  $\frac{X + Y - Z}{3}$  
**C)**  $\frac{Y + Z - X}{3}$  
**D)**  $\frac{X + Z - 2Y}{3}$

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