
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 contains one-eighteenth of its capacity in water. Two water pipes begin to fill the pool simultaneously. When the pool reaches two-ninths of its capacity, the first pipe starts to fill the pool alone and takes 81 minutes to fill an amount equal to what the second pipe had already added. Then, the second pipe fills the pool alone for 49 minutes, and at this point, the total amount of water added by both pipes is the same. After that, both pipes continue to fill the pool. How many additional minutes are needed for both pipes to completely fill the pool?

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