# Long John Silverman has captured a treasure map from Adam?

Long John Silverman has captured a treasure map from Adam McBones. Adam has buried the treasure at the point (x, y) with integer co-ordinates (not necessarily positive). He has indicated on the map the values of x^2 + y and x + y^2, and these numbers are distinct. Prove that Long John has to dig only in one place...
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Long John Silverman has captured a treasure map from Adam McBones. Adam has buried the treasure at the point (x, y) with integer co-ordinates (not necessarily positive). He has indicated on the map the values of x^2 + y and x + y^2, and these numbers are distinct. Prove that Long John has to dig only in one place to find the treasure.

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