
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
There are four different taps that can fill a swimming pool. If the first and the second taps are turned on simultaneously, the pool fills up in 2 hours. If the second and the third taps are turned on simultaneously, the pool fills up in 3 hours. If the third and the fourth taps are turned on simultaneously, the pool fills up in 4 hours. How long will it take to fill the pool if the fourth and the first taps are turned on simultaneously?

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