
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 circles, each with radius 2, are constructed as follows: The center of circle $C$ is chosen randomly from the line segment joining $(0,0)$ to $(3,0)$. Independently, the center of circle $D$ is chosen randomly from the segment joining $(0,3)$ to $(3,3)$. What is the probability that circles $C$ and $D$ intersect?
**A)** $\frac{1}{3}$   
**B)** $\frac{2\sqrt{7}}{3}$   
**C)** $\frac{\sqrt{7}}{3}$    
**D)** $\frac{2 + \sqrt{7}}{3}$    
**E)** $\frac{4}{3}$

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