
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 case where a $\textit{composite number}$ is a number that has two or more prime factors. Let's say, you have to express the number 92 as the sum of two different composite numbers. Among all such pairs, identify the pair that also has a product which is a perfect square. What is the minimum positive difference between these two numbers?

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