1. Heap-sort (1+4 points) a. The array int Data[k] shown below contains a heap. (i) Draw a diagram of the initial heap tree. At each node, show the values of both the index k and its content Data[k]. Initial given heap: Index k: 0 1 2 3 4 5 6 7 8 Data[k] 60 55 50 35 40 25 45 20 30 (ii) Draw a diagram of the heap tree and the array contents of Datata[k] after the first and after the second highest maximums are deleted one by one from the initial heap in the heap-sort algorithm. You can briefly describe your solution with diagrams on how you got the answers. Template for the Answers: Heap after the first maximum (60) is removed and placed at the end: DIAGRAM 1 Index 0 1 2 3 Data: 45678 Heap after the second maximum (55) is removed and placed near the end (before 60): DIAGRAM 2 Index 0 0 1 2 3 4 5 6 7 8 Data:

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
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sample exam problem a bit confused with the concept of heap sort in relations to these problems 

1. Heap-sort (1+4 points)
a. The array int Data[k] shown below contains a heap.
(i)
Draw a diagram of the initial heap tree. At each node, show the values of both the
index k and its content Data[k].
Initial given heap:
Index k: 0
1
2
3
4
5
6
7
8
Data[k] 60
55
50
35
40
25
45
20
30
(ii)
Draw a diagram of the heap tree and the array contents of Datata[k] after the first
and after the second highest maximums are deleted one by one from the initial
heap in the heap-sort algorithm. You can briefly describe your solution with
diagrams on how you got the answers.
Template for the Answers:
Heap after the first maximum (60) is removed and placed at the end:
DIAGRAM 1
Index 0 1 2 3
Data:
45678
Heap after the second maximum (55) is removed and placed near the end (before 60):
DIAGRAM 2
Index 0 0 1 2 3
4
5 6 7 8
Data:
Transcribed Image Text:1. Heap-sort (1+4 points) a. The array int Data[k] shown below contains a heap. (i) Draw a diagram of the initial heap tree. At each node, show the values of both the index k and its content Data[k]. Initial given heap: Index k: 0 1 2 3 4 5 6 7 8 Data[k] 60 55 50 35 40 25 45 20 30 (ii) Draw a diagram of the heap tree and the array contents of Datata[k] after the first and after the second highest maximums are deleted one by one from the initial heap in the heap-sort algorithm. You can briefly describe your solution with diagrams on how you got the answers. Template for the Answers: Heap after the first maximum (60) is removed and placed at the end: DIAGRAM 1 Index 0 1 2 3 Data: 45678 Heap after the second maximum (55) is removed and placed near the end (before 60): DIAGRAM 2 Index 0 0 1 2 3 4 5 6 7 8 Data:
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