
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
Three rectangles have integer dimensions. The perimeters of these rectangles are 148 cm, 150 cm, and 152 cm, respectively. Determine the greatest possible difference between the areas of any two of these rectangles.

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