
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
The sum \(1+\frac{1}{2}+\frac{1}{3}+\ldots+\frac{1}{45}\) is represented as a fraction with the denominator \(45! = 1 \cdot 2 \cdots 45\). How many zeros (in decimal notation) does the numerator of this fraction end with?

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