
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
Two identical rectangular crates are packed with cylindrical pipes, using different methods. Each pipe has a diameter of 12 cm. Crate A packs pipes in rows of 8 directly on top of each other, while Crate B uses a staggered arrangement similar to the original problem. After packing with 160 pipes each, what is the positive difference in the total heights (in cm) of the two packings?

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