#7 Push the value 6 to the following binary heap
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
#7 Push the value 6 to the following binary heap
Transcribed Image Text:### Array Manipulation Example
#### Start:
A row of numbered cells is presented, each containing a single number:
- First cell: 4
- Second cell: 8
- Third cell: 5
- Fourth cell: 10
- Fifth cell: 14
- Sixth cell: 6
- Seventh cell: 7
- Eighth cell: 11
- Ninth cell: 13
#### After Push:
An identical row of empty cells is shown, indicating that no numbers are currently stored in these positions.
### Explanation:
The diagram demonstrates an initial array with specific values and shows an empty array following a hypothetical "push" operation, which typically involves adding elements to the end of an array in data structures, but in this case, it has not added any values yet.
Expert Solution
Step 1
Given array:
{ 4, 8, 5, 10, 14, 6, 7, 11, 13}
Forming Min Heap from the array:
Note: Since you are not mentioning the heap order, here we are using "min" heap order.
Step 2
Pushing element “6” to the heap:
Step 1: Add the new element to the farthest left location of the lowest level.
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