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Questions and Answers
What data structure is Heap Sort based on?
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?
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?
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?
What step follows after converting the array into a heap data structure in Heap Sort?
Why is Heap Sort considered efficient for sorting large datasets?
Why is Heap Sort considered efficient for sorting large datasets?
Heap Sort is a comparison-based sorting technique based on Binary Tree data structure.
Heap Sort is a comparison-based sorting technique based on Binary Tree data structure.
In Heap Sort, the root node of the Max-heap is replaced with the minimum element in each iteration.
In Heap Sort, the root node of the Max-heap is replaced with the minimum element in each iteration.
The time complexity of Heap Sort is O(n^2) in all cases.
The time complexity of Heap Sort is O(n^2) in all cases.
Heap Sort maintains good performance with a large number of elements due to the height of the binary heap being factored in.
Heap Sort maintains good performance with a large number of elements due to the height of the binary heap being factored in.
The sorted array obtained from Heap Sort is in the same order as the input array.
The sorted array obtained from Heap Sort is in the same order as the input array.
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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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