
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 Joanne's design for a quilt, she sketches a large square and inside it, nine smaller identical circles such that each circle is tangent to its neighbors and to the nearest sides of the square. Each side of the square measures 16 inches. Calculate the total area of the square that is not covered by the circles.

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