Each exchange operation on line 5 of HEAP-INCREASE-KEY typically requires three assignments. Show how to use the idea of the inner loop of INSERTION- SORT to reduce the three assignments down to just one assignment.
Each exchange operation on line 5 of HEAP-INCREASE-KEY typically requires three assignments. Show how to use the idea of the inner loop of INSERTION- SORT to reduce the three assignments down to just one assignment.
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
Problem 1PE
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Question
use figure 6.5 to answer the question
![8
15
14
14
16
16
10
10
3
3
14
15
14
15
7
16
(b)
16
(d)
10
10
3
Figure 6.5 The operation of HEAP-INCREASE-KEY. (a) The max-heap of Figure 6.4(a) with a
node whose index is i heavily shaded. (b) This node has its key increased to 15. (c) After one
iteration of the while loop of lines 4-6, the node and its parent have exchanged keys, and the index i
moves up to the parent. (d) The max-heap after one more iteration of the while loop. At this point,
A[PARENT(i)] ≥ A[i]. The max-heap property now holds and the procedure terminates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032de2f6-d35c-4a3a-a9a2-daefbabd8c32%2Fb95f5105-1aa9-43e9-a125-e0daa06def8b%2Fmres18l_processed.png&w=3840&q=75)
Transcribed Image Text:8
15
14
14
16
16
10
10
3
3
14
15
14
15
7
16
(b)
16
(d)
10
10
3
Figure 6.5 The operation of HEAP-INCREASE-KEY. (a) The max-heap of Figure 6.4(a) with a
node whose index is i heavily shaded. (b) This node has its key increased to 15. (c) After one
iteration of the while loop of lines 4-6, the node and its parent have exchanged keys, and the index i
moves up to the parent. (d) The max-heap after one more iteration of the while loop. At this point,
A[PARENT(i)] ≥ A[i]. The max-heap property now holds and the procedure terminates.
Transcribed Image Text:6.5-6
Each exchange operation on line 5 of HEAP-INCREASE-KEY typically requires
three assignments. Show how to use the idea of the inner loop of INSERTION-
SORT to reduce the three assignments down to just one assignment.
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