
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 forwards and backwards, regardless of whether it is read from left to right or right to left, is called a "palindromic number." For example, 11 and 22 are two-digit palindromic numbers, and 111 and 101 are three-digit palindromic numbers. Determine the number of five-digit palindromic numbers.

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