
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
Two squares are drawn inside a regular hexagon with side-length 2. What is the area of the overlap of the two squares?

A) 2  
B) \(2 - \sqrt{3}\)  
C) \(4 - \sqrt{3}\)  
D) \(4 - 2\sqrt{3}\)  
E) \(8 - 4\sqrt{3}\)

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