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# Heap Sort Algorithm

Created by
@UndamagedObsidian

## Questions and Answers

### What data structure is Heap Sort based on?

• Binary Heap (correct)
• Binary Search Tree
• Array
• ### How is the sorted array obtained in Heap Sort?

• By reversing the order of elements in the input array (correct)
• By randomly shuffling all elements
• By swapping every second element with the next element
• By selecting the maximum element and placing it at the beginning
• ### What is the time complexity of Heap Sort?

• $O(n)$
• $O( ext{log} n)$
• $O(n ext{ log } n)$ (correct)
• $O(n^2)$
• ### What step follows after converting the array into a heap data structure in Heap Sort?

<p>Delete the root node</p> Signup and view all the answers

### Why is Heap Sort considered efficient for sorting large datasets?

<p>Because it maintains good performance even with a large number of elements due to its time complexity</p> Signup and view all the answers

### Heap Sort is a comparison-based sorting technique based on Binary Tree data structure.

<p>False</p> Signup and view all the answers

### In Heap Sort, the root node of the Max-heap is replaced with the minimum element in each iteration.

<p>False</p> Signup and view all the answers

### The time complexity of Heap Sort is O(n^2) in all cases.

<p>False</p> Signup and view all the answers

### Heap Sort maintains good performance with a large number of elements due to the height of the binary heap being factored in.

<p>True</p> Signup and view all the answers

### The sorted array obtained from Heap Sort is in the same order as the input array.

<p>False</p> Signup and view all the answers

## Study Notes

### Heap Sort Algorithm

• Heap sort is a comparison-based sorting technique based on Binary Heap data structure.
• It is similar to selection sort, where we find the minimum element and place it at the beginning, repeating the process for remaining elements.

### Steps in Heap Sort Algorithm

• Convert the array into a heap data structure using heapify.
• Delete the root node of the Max-heap and replace it with the last node in the heap.
• Heapify the root of the heap.
• Repeat the process until the size of the heap is greater than 1.

### Advantages of Heap Sort

• Heap sort has a time complexity of O(n log n) in all cases.
• This makes it efficient for sorting large datasets.
• The log n factor comes from the height of the binary heap, ensuring good performance with a large number of elements.

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## Description

Learn about heap sort, a comparison-based sorting technique based on the Binary Heap data structure. Understand the process of converting an array into a heap data structure using heapify and then sorting the elements by deleting the root node of the Max-heap.

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