
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 square flag features a symmetric red cross of uniform width with a green square in the center on a white background. The entire cross (both the red arms and the green center) occupies 40% of the area of the flag. If the red arms of the cross (excluding the green center) occupy 36% of the flag's area, what percent of the area of the flag is occupied by the green center?

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