
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
At the Gourmet Donut Shop, Elina, Mark, and Lila are icing spherical donuts. Elina's donuts have a radius of 5 mm, Mark's donuts have a radius of 9 mm, and Lila's donuts have a radius of 12 mm. Each worker covers their donut surface area at the same uniform rate and they start at the same time. Assuming the icing has negligible thickness and is evenly spread on all donuts, how many donuts will Elina have iced by the time all three workers complete icing a donut at the same moment?

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