
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
There are many fascinating connections between mathematics and literature. For example, there is the palindrome poem, such as "云边月影沙边雁，水外天光山外树", which if read backwards, becomes "树外山光天外水，雁边沙影月边云", offering a delightful sense and rhyme both ways! Similarly, mathematics features palindromic numbers, such as 88, 454, 7337, 43534, etc., which are the same whether read from left to right or right to left. Such numbers are known as "palindromic numbers," and reading them is quite interesting!
The two-digit palindromic numbers are 11, 22, 33, 44, 55, 66, 77, 88, 99, making a total of 9;
The three-digit palindromic numbers include 101, 111, 121, 131, ..., 969, 979, 989, 999, making a total of 90;
So, how many five-digit palindromic numbers are there in total?

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