
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 rectangles have integer dimensions, and both have a perimeter of 200 cm. Additionally, one dimension of each rectangle is at least 25 cm. What is the greatest possible difference between the areas of two such rectangles?

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