
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
Let \( m \) be a positive integer such that the decimal representation of \( m! \) ends in \( p \) zeros and the decimal representation of \( (2m)! \) ends in \(\left\lfloor \frac{5p}{2} \right\rfloor\) zeros. What is the least possible value of \( m \)?
A) 20
B) 24
C) 25
D) 27
E) 30

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