
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
Uncle Mané has a broken calculator that does not have the "0" key and the screen never shows "0" after any operation. For example, if he multiplies $3 \times 67$, he gets 21 instead of 201.

Uncle Mané multiplied two two-digit numbers on his calculator and got 11 on the screen. What are the possible numbers he multiplied?

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