
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
Gábor wants to call Péter by phone, but he only remembers that the three-digit area code is divisible by 13 and that the middle digit is equal to the arithmetic mean of the outer digits. Which numbers does Gábor need to dial to speak with Péter?

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