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Heap Sort Algorithm

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Questions and Answers

What data structure is Heap Sort based on?

Binary Heap (correct)

Binary Search Tree

Array

Linked List

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?

Delete the root node Signup and view all the answers

Why is Heap Sort considered efficient for sorting large datasets?

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

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

False 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.

False Signup and view all the answers

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

False 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.

True Signup and view all the answers

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

False 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.