How would the numbers be illustrated in the array order of a max heap, with the given numbers?

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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How would the numbers be illustrated in the array order of a max heap, with the given numbers?

1
5
22
2
3
10
9
5; 3; 17; 10; 84; 19; 6; 22; 9.
3
3
17
10
84
5
5
84
19
6
19
17
7
6
6
22
9
9
Transcribed Image Text:1 5 22 2 3 10 9 5; 3; 17; 10; 84; 19; 6; 22; 9. 3 3 17 10 84 5 5 84 19 6 19 17 7 6 6 22 9 9
Expert Solution
Step 1

Solution:

 

Building max heap from an array:

  • Root is at index 0 in array.
  • Left child of i-th node is at (2*i + 1)th index.
  • Right child of i-th node is at (2*i + 2)th index.
  • Parent of i-th node is at (i-1)/2 index.
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