Which of the following sorting algorithm will be worst choice to sort ...
To sort a linked list, Merge sort is the best choice and Heap sort is impractical.
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Which of the following sorting algorithm will be worst choice to sort ...
Merge Sort:
Merge Sort is a popular sorting algorithm that works efficiently for both arrays and linked lists. It follows the divide-and-conquer approach to divide the list into smaller sublists, sort them, and then merge them back together to obtain a sorted list. The time complexity of Merge Sort is O(n log n), making it a good choice for sorting a linked list.
Quicksort:
Quicksort is another commonly used sorting algorithm that also follows the divide-and-conquer approach. It works by selecting a pivot element and partitioning the list into two sublists - one with elements smaller than the pivot and the other with elements greater than the pivot. The pivot is then placed in its correct position, and the process is repeated recursively for the sublists. Quicksort has an average time complexity of O(n log n), but its worst-case time complexity can be O(n^2) in certain scenarios.
Heap Sort:
Heap Sort is a comparison-based sorting algorithm that uses a binary heap data structure. It first builds a max-heap from the elements of the list and then repeatedly extracts the maximum element from the heap, swapping it with the last element and reducing the heap size. The extracted elements are placed in reverse order to obtain a sorted list. The time complexity of Heap Sort is O(n log n), making it efficient for both arrays and linked lists.
Insertion Sort:
Insertion Sort is a simple sorting algorithm that builds the final sorted list one element at a time. It iterates through the list, comparing each element with the previous ones and inserting it into its correct position. While Insertion Sort is not the most efficient sorting algorithm, it performs well for small lists or nearly sorted lists. The time complexity of Insertion Sort is O(n^2), making it less efficient than Merge Sort and Heap Sort.
Explanation:
Among the given options, Heap Sort is the worst choice for sorting a linked list. This is because Heap Sort relies on random access to elements, which is not efficient for linked lists. Linked lists do not provide constant time access to any element, as arrays do. In Heap Sort, accessing elements based on their indices is crucial for building the heap and extracting the maximum element. Without random access, the time complexity of Heap Sort increases to O(n^2), making it less efficient than Merge Sort and Quicksort for sorting a linked list.
Therefore, the correct answer is option 'C' - Heap Sort.
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