
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 reservoir needs to transport water to a distant village using a main pipe of 12'' inside diameter. Due to limitations in available pipe sizes, they can only use smaller pipes of 3'' inside diameter. Neglecting the friction and turbulence against the inside of the pipes, what is the minimum number of 3''-inside-diameter pipes needed to carry the same volume of water as the 12'' pipe?

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