Given a min-priority queue A[1..7] = <2, 4, 3, 5, 7, 8, 6>, consider calling Heap- Decrease-Key(A, 5, 1). Note that index starts from 1. HEAP-DECREASE-KEY(A, i, k) 1 if k>A[i] 2 3 A[i] = k 4 while i>1 and A[PARENT(i)] > A[i] 5 6 error "new key is greater than current key" swap A[i] with A[PARENT(i)] i = PARENT(i) What will be the resulting min-priority queue A? 1, 2, 3, 5, 4, 8, 6 1, 2, 3, 4, 5, 6, 8 2, 4, 3, 5, 1, 8, 6 1, 2, 3, 4, 7, 8, 6

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Given a min-priority queue A[1..7] = <2, 4, 3, 5, 7, 8, 6>, consider calling Heap-
Decrease-Key(A, 5, 1). Note that index starts from 1.
HEAP-DECREASE-KEY(A, i, k)
1 if k > A[i]
2
error "new key is greater than current key"
3 A[i] = k
4 while i>1 and A[PARENT(i)] > A[i]
5
6
swap A[i] with A[PARENT(i)]
i = PARENT(i)
What will be the resulting min-priority queue A?
1, 2, 3, 5, 4, 8, 6
1, 2, 3, 4, 5, 6, 8
2, 4, 3, 5, 1, 8, 6
1, 2, 3, 4, 7, 8, 6
Transcribed Image Text:Given a min-priority queue A[1..7] = <2, 4, 3, 5, 7, 8, 6>, consider calling Heap- Decrease-Key(A, 5, 1). Note that index starts from 1. HEAP-DECREASE-KEY(A, i, k) 1 if k > A[i] 2 error "new key is greater than current key" 3 A[i] = k 4 while i>1 and A[PARENT(i)] > A[i] 5 6 swap A[i] with A[PARENT(i)] i = PARENT(i) What will be the resulting min-priority queue A? 1, 2, 3, 5, 4, 8, 6 1, 2, 3, 4, 5, 6, 8 2, 4, 3, 5, 1, 8, 6 1, 2, 3, 4, 7, 8, 6
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