To give an algorithm that finds the median of all 2n elements in arrays X and Y in O ( lg n ) time.

Question

Let M(n) be the minimum number of comparisons needed to sort an array A with exactly n ele- ments. For example, M(1) = 0, M(2) = 1, and M(4) = 4. If n is an even number, clearly explain why M(n) = 2M(n/2) + n/2.

Answer 1

Question

Chapter 9.3, Problem 8E

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To give an algorithm that finds the median of all 2n elements in arrays X and Y in O(lgn) time.

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Let M(n) be the minimum number of comparisons needed to sort an array A with exactly n ele- ments. For example, M(1) = 0, M(2) = 1, and M(4) = 4. If n is an even number, clearly explain why M(n) = 2M(n/2) + n/2.

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