
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
A pool is equipped with several waterproof faucets of the same size. If all faucets are turned on at the same time, then a pool of water can be drained in exactly 24 hours. If each faucet is turned on at different times, with one faucet turned on at regular intervals until all faucets are open and all the water in the pool is drained, and the time the first faucet drains water is 7 times that of the last faucet, then determine the draining time of the first faucet in hours.

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