
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 that reads the same both forwards and backwards is called a "palindromic number," such as 88, 545, 7337, 43534, etc. There are 9 two-digit palindromic numbers: 11, 22, 33, 44, 55, 66, 77, 88, 99; There are 90 three-digit palindromic numbers: 101, 111, 121, 131, ..., 969, 979, 989, 999; There are 90 four-digit palindromic numbers: 1001, 1111, 1221, ..., 9669, 9779, 9888, 9999; Based on this pattern, determine how many eight-digit palindromic numbers there are in total.

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