
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 MP Donut Hole Factory, Lidia, Marco, and Priya are coating spherical donut holes in chocolate. Lidia's donut holes have a radius of 5 mm, Marco's donut holes have a radius of 7 mm, and Priya's donut holes have a radius of 9 mm. Each worker coats the surface of their donut holes at the same rate, but Lidia starts 1 minute after Marco and Priya. Assuming that the chocolate coating has negligible thickness and is distributed equally on all donut holes, how many donut holes will Lidia have covered by the first time all three workers finish their current donut hole at the same time?

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