
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
Let's call a natural number "useful" if it contains neither zeros nor repeated digits in its decimal notation, and the product of all its digits is divisible by their sum. Find the two largest consecutive (i.e., differing by 1) useful numbers.

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