
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 has a red cross of uniform width with three smaller blue squares symmetrically placed within the cross on a white background. The entire cross (both the red arms and the blue centers) takes up 49% of the area of the flag. If each blue square takes up an equal part of the cross's area, what percent of the area of the flag does one blue square occupy?

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