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Consider two sums, X=x 1 +x 2 +?x n and Y=y 1 + y 2 + ? y n . Give an algorithm that finds
Consider two sums, X=x1+x2+?xn and Y=y1 + y2 + ? yn. Give an algorithm that finds indices i and j such that swapping xi and yj makes the two sums equal, that is, X - xi + yj = Y - yj + xi, if they exist. Analyze the efficiency of your algorithm. (You are allowed to use sorting as a subroutine. Credit depends on the correctness and efficiency of your algorithm).
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