This is one of the problems in Indonesian National Science Olympiad.

\(m\) and \(n\) is positive integers such that the equations \(x+y^{2}=m\) and \(x^{2}+y=n\) have exactly one integral solution \((x,y)\). Determine all posible values of \(m-n\).

This is one of the problems in Indonesian National Science Olympiad.

\(m\) and \(n\) is positive integers such that the equations \(x+y^{2}=m\) and \(x^{2}+y=n\) have exactly one integral solution \((x,y)\). Determine all posible values of \(m-n\).

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