
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
A logo consists of a large square and multiple circles. Each circle is tangent to two sides of the square and adjacent to other circles. This design now includes five circles - one at each corner and one in the center, each tangent to its neighboring circles. If the square's side length is 24 inches, how many square inches will be shaded?

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