We disprove a conjecture concerning zero-sum problem by showing the following, Let p> l0000 be a prime with p≡3(mod4) , and let S=((?)2,3) be a sequence of pelements in Zp, Then, there is no sequence T of p elements in Zp such that fp(T)=fp(S) and T has at most two distinct nonzero terms, where fp(S) denote the number of zero-sum subsequences of S, |