
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 is a hot spring swimming pool with a continuous flow of spring water at the bottom. To drain the full pool, 10 pumps need to work for 8 hours, and 9 pumps need to work for 9 hours. To ensure that the water level in the pool remains unchanged (neither decreasing nor increasing), how many pumps are needed to pump out the water?

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