- 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].
- 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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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].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F095769e6-40bf-4871-8d4c-7f8392a669a3%2F33d23d29-ba7e-45de-ae70-367adfe6c04e%2Fmhtozm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-
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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