
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
LeRoy, Bernardo, and Carlos went on a week-long trip together and agreed to share the costs equally. Each of them paid for various joint expenses such as gasoline, car rental, food, and lodging. At the end of the trip, it turned out that LeRoy had paid A dollars, Bernardo had paid B dollars, and Carlos had paid C dollars, where $A < B < C.$ How many dollars must LeRoy and Bernardo give Carlos so that they share the costs equally?
A) $\frac{B+C - 2A}{3}$
B) $\frac{A+C - 2B}{3}$
C) $\frac{2C - A - B}{3}$
D) $\frac{A+B - 2C}{3}$
E) $\frac{A+B+C}{3}$

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