
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
A number is said to be a palindrome if its reading from right to left is the same as from left to right. For example, the numbers 23432 and 18781 are palindromes. How many four-digit palindrome numbers are divisible by 9?

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