Select the correct answerWhich of the below mentioned sorting algorithms can be used to sort a random linked list with least time complexity?OptionsHeap SortMerge SortQuick SortInsertion Sort
Question
Select the correct answerWhich of the below mentioned sorting algorithms can be used to sort a random linked list with least time complexity?OptionsHeap SortMerge SortQuick SortInsertion Sort
Solution
The correct answer is Merge Sort.
Here's why:
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Heap Sort: It is not a good option for sorting linked lists as it requires random access to elements, which is not possible with linked lists.
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Merge Sort: This is the best option for sorting linked lists. It has a time complexity of O(n log n) in all cases (best, average, and worst). It works by dividing the list into two halves, sorting them, and then merging them. This can be done efficiently with linked lists.
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Quick Sort: While quick sort has a best and average case time complexity of O(n log n), its worst-case time complexity is O(n^2), which occurs when the input list is already sorted. Additionally, it requires a lot of extra space for recursive function calls.
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Insertion Sort: This has a worst-case and average time complexity of O(n^2), which makes it inefficient for large data sets. It is also not efficient for linked lists because it requires random access to elements.
So, Merge Sort is the most efficient sorting algorithm for a random linked list.
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