
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
Construct a ring with given width \( d \) such that its area is equal to the sum of the areas of three given circles. (e.g., \( r_{1}=2 \) cm, \( r_{2}=3 \) cm, \( r_{3}=4 \) cm, \( d=3.5 \) cm).

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