
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
Consider a new situation where we examine how many perfect squares less than 20,000 can be represented as the difference of two consecutive squares that are both even. Determine the count of such perfect squares.

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