
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 filled with cylindrical pipes that have a diameter of 20 cm using different packing methods. A side view of the first few rows of each method is presented.

**Crate A**:
Pipes are packed directly on top of each other in 10 rows of 5 pipes each.

**Crate B**:
Pipes are packed in an offset manner similar to the earlier scenario for Crate B, but now we consider 9 rows of either 4 or 5 pipes, offset similar to the earlier problem statement.

Each crate holds 100 pipes each. Calculate the positive difference in total heights (in cm) of the two packings.

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