
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
Three workers participated in a competition. The first and third produced twice as much product as the second, and the second and third produced three times as much as the first. What place did each worker take in the competition?

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