A given year p (expressed in YYYY format) is defined as "Ambiguous" if there exists at least one positive integral solution of the equation x^2 + x + y^2 + 3y = p. Otherwise, the said year (p) is a "Definite" year.

For example, 1890 A.D. was an "Ambiguous" year, since (x,y)=(34,25) corresponds to a positive integral solution of x^2 + x + y^2 + 3y = 1890.

Determine, whether 2006 A.D. is an Ambiguous Year or a Definite Year.

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Edited on February 27, 2006, 12:32 pm

Posted by goFish on 2006-02-27 12:29:13