# Sum of Squares and a Product

**Algebra**Level 4

**\(N\)** be the product of all possible values of \(x\) such that \((x,y)\) satisfies the equation \(x^2+y^2=28-xy\), and that both \(x\) and \(y\) are integers. Find the last three digits of **\(|N|\)**.

**\(N\)** be the product of all possible values of \(x\) such that \((x,y)\) satisfies the equation \(x^2+y^2=28-xy\), and that both \(x\) and \(y\) are integers. Find the last three digits of **\(|N|\)**.

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