Let \(n > 0\) be a product of two different prime numbers.

How many different pairs of positive integers \((x,y)\) satisfy:

\[ n^3 + x^2 = y^2 ? \]

The answer to type in: If there are \(a\) pairs of \((x,y)\) for a given even \(n\) and \(b\) pairs of \((x,y)\) that solve the equation for a given odd \(n\), then type in the sum of \(a+b\).

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