
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
Two natural numbers have a difference of 11, and the sum of the digits of each number is divisible by 11. What is the smaller of the smallest two natural numbers that meet these requirements?

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