
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. A side view of the first four rows of each of the two different methods of packing is shown below:

Crate A: All rows (10 each) are packed directly on top of each other.
Crate B: Staggered packing with rows interlocking in between rows, thus decreasing the vertical space between rows compared to Crate A.

Both crates have been packed with 200 pipes each. Calculate the positive difference in the total heights (in cm) of the two packings.

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