Suppose a max-heap is stored in array A. Accidentally, one element of A is changed so that the elements of A may no longer satisfy the heap property. Your job is to write the pseudo-code for the recursive algorithm FixHeap(A, i) that takes as input a max-heap stored in array A with the root at index i, and performs the necessary operations to repair the heap property. Keep in mind that you are not given as input the position (index) of the altered element. You must provide a solution that extends the pseudo-code below. You cannot simply rebuild the heap from scratch. You must provide the runtime recurrence and justify the O(n) worst-case runtime runtime. FixHeap(A, i) if i

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Suppose a max-heap is stored in array A. Accidentally, one element of A is changed so that the elements of
A may no longer satisfy the heap property. Your job is to write the pseudo-code for the recursive algorithm
FixHeap(A, i) that takes as input a max-heap stored in array A with the root at index i, and performs
the necessary operations to repair the heap property. Keep in mind that you are not given as input the
position (index) of the altered element.
You must provide a solution that extends the pseudo-code below.
You cannot simply rebuild the heap from scratch.
You must provide the runtime recurrence and justify the O(n) worst-case runtime runtime.
FixHeap(A, i)
if i <A.heapsize
if 2i < A.heapsize
if 2i +1< A.heapsize
Transcribed Image Text:Suppose a max-heap is stored in array A. Accidentally, one element of A is changed so that the elements of A may no longer satisfy the heap property. Your job is to write the pseudo-code for the recursive algorithm FixHeap(A, i) that takes as input a max-heap stored in array A with the root at index i, and performs the necessary operations to repair the heap property. Keep in mind that you are not given as input the position (index) of the altered element. You must provide a solution that extends the pseudo-code below. You cannot simply rebuild the heap from scratch. You must provide the runtime recurrence and justify the O(n) worst-case runtime runtime. FixHeap(A, i) if i <A.heapsize if 2i < A.heapsize if 2i +1< A.heapsize
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