
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
Two workers dug a trench in two hours. Following this, the first worker became tired and started working three times slower, while the second worker got motivated and started working three times faster, resulting in them taking one hour to dig another trench. By how many times was the second worker's initial productivity greater than the first worker's initial productivity?

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