
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
If \( n \) is a positive integer, let \( s(n) \) denote the sum of the digits of \( n \). We say that \( n \) is zesty if there exist positive integers \( x \) and \( y \) greater than 1 such that \( x y = n \) and \( s(x) s(y) = s(n) \). How many zesty two-digit numbers are there?

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