Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Question

How would I implement heap sort based on the given pseudo-code?

Heapsort (A) Build-Max-Heap (A) for (i = A.length downto 2) Swap (A[1], A[i]) A.heap_size(A) -= 1 Max-Heapify (A, 1) Running time: call to BuildHeap() takes O(n) time Each of the n - 1 calls to Max-Heapify() takes O(lg n) time total time taken by HeapSort() - = O(n) + (n − 1) O(lg n) = = O(n) + O(n lg n)= O(n lg n)
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Transcribed Image Text:Heapsort (A) Build-Max-Heap (A) for (i = A.length downto 2) Swap (A[1], A[i]) A.heap_size(A) -= 1 Max-Heapify (A, 1) Running time: call to BuildHeap() takes O(n) time Each of the n - 1 calls to Max-Heapify() takes O(lg n) time total time taken by HeapSort() - = O(n) + (n − 1) O(lg n) = = O(n) + O(n lg n)= O(n lg n)
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