Which of the following sorting algorithms can be used to sort a random linked list with minimum time complexity?Merge SortQuick SortInsertion SortHeap Sort
Question
Which of the following sorting algorithms can be used to sort a random linked list with minimum time complexity?
- Merge Sort
- Quick Sort
- Insertion Sort
- Heap Sort
Solution
The best sorting algorithm to sort a random linked list with minimum time complexity is Merge Sort.
Here's why:
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Quick Sort: The worst-case time complexity of Quick Sort is O(n^2), which occurs when the input list is already sorted or reverse sorted. Also, Quick Sort requires random access to elements, which is not efficient with linked lists.
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Insertion Sort: The worst-case and average time complexity of Insertion Sort is O(n^2), which makes it inefficient for large data sets.
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Heap Sort: Heap Sort requires random access to elements, which is not efficient with linked lists. Also, its time complexity is O(n log n), but it has a larger constant factor than Merge Sort.
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Merge Sort: Merge Sort is the most efficient sorting algorithm for linked lists. It has a time complexity of O(n log n) in all cases (best, average, and worst). Merge Sort works by dividing the list into two halves, sorting them, and then merging them. This process is efficient with linked lists because it can be done in-place, with no need for extra space.
So, Merge Sort is the best choice among these options for sorting a random linked list with minimum time complexity.
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