
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

Let \(a\) and \(b\) be five-digit palindromes (without leading zeroes) such that \(a < b\) and there are no other five-digit palindromes strictly between \(a\) and \(b\). What are all possible values of \(b-a\)? (A number is a palindrome if it reads the same forwards and backwards in base 10.)

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