
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 two digit number  $s$  is special if  $s$  is the common two leading digits of the decimal expansion of  $4^n$  and  $5^n$ , where  $n$  is a certain positive integer. Given that there are two special number, find these two special numbers.

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