
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
Ten workers need to assemble 50 products from parts. First, each part of the product needs to be painted, which takes one worker 10 minutes. After painting, the part dries for 5 minutes. Assembling the product takes one worker 20 minutes. How many workers should be assigned as painters and how many as assemblers in order to complete the work in the shortest possible time? (Two workers cannot simultaneously paint or assemble the same product.)

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