Argue the correctness of HEAP-INCREASE-KEY using the following loop invari- ant: At the start of each iteration of the while loop of lines 4-6, the subarray A[1.. A.heap-size] satisfies the max-heap property, except that there may be one violation: A[i] may be larger than A[PARENT(i)]. You may assume that the subarray A[1.. A.heap-size] satisfies the max-heap prop- erty at the time HEAP-INCREASE-KEY is called.
Argue the correctness of HEAP-INCREASE-KEY using the following loop invari- ant: At the start of each iteration of the while loop of lines 4-6, the subarray A[1.. A.heap-size] satisfies the max-heap property, except that there may be one violation: A[i] may be larger than A[PARENT(i)]. You may assume that the subarray A[1.. A.heap-size] satisfies the max-heap prop- erty at the time HEAP-INCREASE-KEY is called.
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![Argue the correctness of HEAP-INCREASE-KEY using the following loop invari-
ant:
At the start of each iteration of the while loop of lines 4-6, the subarray
A[1.. A.heap-size] satisfies the max-heap property, except that there may
be one violation: A[i] may be larger than A[PARENT(i)].
You may assume that the subarray A[1 .. A.heap-size] satisfies the max-heap prop-
erty at the time HEAP-INCREASE-KEY is called.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032de2f6-d35c-4a3a-a9a2-daefbabd8c32%2F4e72fd5b-833b-4343-819c-3e99dc42e014%2Fijst13d_processed.png&w=3840&q=75)
Transcribed Image Text:Argue the correctness of HEAP-INCREASE-KEY using the following loop invari-
ant:
At the start of each iteration of the while loop of lines 4-6, the subarray
A[1.. A.heap-size] satisfies the max-heap property, except that there may
be one violation: A[i] may be larger than A[PARENT(i)].
You may assume that the subarray A[1 .. A.heap-size] satisfies the max-heap prop-
erty at the time HEAP-INCREASE-KEY is called.
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