
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 between 100 and 200 that are not palindromes, a person can create a palindrome by repeatedly reversing the number and adding the original number to its reverse. Of all these integers, what is the sum of the non-palindrome integers that take exactly seven steps to become palindromes?

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