
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 1, 4, 6, 8, and 10. The innermost circle is painted black, the next ring is white, followed by a black ring, another white ring, and the outermost ring is black. What is the ratio of the black area to the white area? Express your answer as a common fraction.

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