
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
Consider the region \( B \) in the complex plane that consists of all points \( z \) such that both \( \frac{z}{50} \) and \( \frac{50}{\overline{z}} \) have real and imaginary parts between \( 0 \) and \( 1 \), inclusive. Find the area of \( B \).

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