
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 are digging a pit. They work in shifts, with each worker working as long as it takes for the other two to dig half of the pit. Working in this manner, they dug the pit. How many times faster would the three workers dig the same pit if they worked simultaneously?

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