@Lucifer: a very good counter example involving the -ve numbers..[:)] 
I never thought of negative numbers while looking for solution.

And I don't see a O(N) solution for this --> 
1) Find the first pair (i,j) such that: 
        sum( A[0] .. till A[i]) = sum(B[0] ... B[i])  -- ESP when there are 
-ve numbers, If No negative numbers its same as one provided before.

And, sorting the sums & comparing them like you suggested leads us to O(n^2 
log n) 

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