
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
Given the set
\[
A=\left\{n \in \mathbf{Z} \left\lvert\,\left(1+\frac{1}{n}\right)^{n+1}=\left(1+\frac{1}{2020}\right)^{2000}\right.\right\} \text{,}
\]
determine the number of elements in the set \( A \).

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