
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
Alice has a cylindrical container with a radius of 8 inches and a height of 20 inches. She wants to fill it using water from a stream, with a bucket in the shape of a conical frustum that has a top radius of 4 inches, a bottom radius of 6 inches, and a height of 10 inches. How many trips must Alice make to the stream in order to fill the container?

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