
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
For some integers that are not palindromes, like 37, a person can create a palindrome by repeatedly reversing the number and adding the original number to its reverse. For example, $37 + 73 = 110$. Then $110+011=121$, which is a palindrome and thus takes two steps. Of all positive integers between 10 and 200, what is the sum of the non-palindrome integers that take exactly three steps to become palindromes?

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