
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
A student calculated the average of 2012 rational numbers but carelessly mixed this average with the original 2012 rational numbers, resulting in a total of 2013 rational numbers, and forgot which one was the average. If the average of these 2013 rational numbers is exactly 2013, then the average of the original 2012 rational numbers is.

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