
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
Given that LeRoy paid X dollars, Bernardo paid Y dollars, and Carlos paid Z dollars, and LeRoy, Bernardo, and Carlos agreed to split the costs equally, calculate the amount LeRoy must give to Bernardo and the amount LeRoy must give to Carlos.

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