
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 small square measures 3 cm by 3 cm, each square is shaded gray. The grid is covered by three small circles, each with a diameter equal to a side of a square and one large circle with a diameter equal to the length of two squares, all unshaded. Calculate the area of the visible shaded region in the form $A-B\pi$ square cm and determine the value of $A+B$.

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