Let a = 1259 and b be an integer that is relatively prime to a. Every solution of the linear Diophantine equation ax+by=996b is of the form x = xo + ck, y=yo+dk, kez where c, d are certain integers and x = 0, y = yo is a particular integer solution. Assuming that d is a positive integer, what is the value of d? Enter O if there is not enough information to determine the value of d or if the Diophantine equation does not have any solutions.

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