
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
We will call a natural number interesting if all its digits, except for the first and last digit, are less than the arithmetic mean of the two neighboring digits. Find the largest interesting number.


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