
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
1. Propose (without performing it) a method to calculate the number of digits in the decimal representation of 2021! using the natural logarithm function.

The result is that the decimal representation of 2021! contains 5805 digits. For comparison, the age of the universe in seconds can be written using 18 digits.

2. How many "0"s does the decimal representation of \(N\) end with?

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