
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
In a 4 by 4 grid, where each of the 16 squares measures 3 cm by 3 cm and is shaded, two unshaded circles are placed on top of the grid. The first circle has a diameter equal to the height of two squares (6 cm), and the second circle, overlapping the first, also has a diameter of 6 cm. The centers of both circles are 3 cm apart. Determine the area of the visible shaded region, which can be expressed as $C-D\pi$ square cm. What is the value of $C+D$?

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