
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 circular flag contains two overlapping crosses (one blue and another red, each symmetric with respect to the flag's center). The blue cross has uniform arms extending from the center to the circle’s circumference, and the red cross is exactly half the width of the blue cross, centered in the same manner. If the combined area of both crosses constitutes 50% of the entire flag’s area, and if the red cross covers 20% of the flag's area, what percent of the area of the flag does the blue cross cover alone?

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