
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
Five concentric circles are drawn with radii of 2, 4, 6, 8, and 10. Starting from the innermost, the circles are painted alternately blue, red, blue, red, and blue. What is the ratio of the blue area to the red area?

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