- You are given two sorted arrays of integers A and B of size m and n respectively. Describe a divide and conquer algorithm that takes O(logk) time for computing the k th smallest element in the union of the two arrays. Assume that the integers in both arrays are distinct, and no integers in A appear in B (and vice versa). Explain carefully why your algorithm takes O(logk) time. Hint: The k – th smallest element in the union of the two arrays has to be contained in A[1...k] and B[1...k].
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