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Which of the following sorting algorithms has the lowest worst-case complexity?
- a)Merge sort
- b)Bubble sort
- c)Quicksort
- d)Selection sort
Correct answer is option 'A'. Can you explain this answer?
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Which of the following sorting algorithms has the lowest worst-case co...
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Which of the following sorting algorithms has the lowest worst-case co...
Explanation:
Sorting algorithms are used to arrange a list of items in a certain order. There are various sorting algorithms available, each with its own advantages and disadvantages. The complexity of a sorting algorithm is determined by the number of operations it takes to sort a list of items. The lower the complexity, the faster the algorithm will run.
Among the given options, Merge sort has the lowest worst-case complexity. The worst-case complexity of an algorithm refers to the number of operations it takes to complete the algorithm when it is given the worst possible input. For example, a sorting algorithm with a worst-case complexity of O(n^2) will take a lot longer to sort a list of items that is already sorted in reverse order than it will to sort a randomly ordered list.
Here's why Merge sort has the lowest worst-case complexity:
Sorting algorithms are used to arrange a list of items in a certain order. There are various sorting algorithms available, each with its own advantages and disadvantages. The complexity of a sorting algorithm is determined by the number of operations it takes to sort a list of items. The lower the complexity, the faster the algorithm will run.
Among the given options, Merge sort has the lowest worst-case complexity. The worst-case complexity of an algorithm refers to the number of operations it takes to complete the algorithm when it is given the worst possible input. For example, a sorting algorithm with a worst-case complexity of O(n^2) will take a lot longer to sort a list of items that is already sorted in reverse order than it will to sort a randomly ordered list.
Here's why Merge sort has the lowest worst-case complexity:
Merge sort:
Merge sort is a divide and conquer algorithm that works by dividing a list into smaller sublists, sorting those sublists, and then merging them back together. It has a worst-case complexity of O(n log n).
Bubble sort:
Bubble sort is a simple sorting algorithm that works by repeatedly swapping adjacent elements if they are in the wrong order. It has a worst-case complexity of O(n^2).
Quicksort:
Merge sort is a divide and conquer algorithm that works by dividing a list into smaller sublists, sorting those sublists, and then merging them back together. It has a worst-case complexity of O(n log n).
Bubble sort:
Bubble sort is a simple sorting algorithm that works by repeatedly swapping adjacent elements if they are in the wrong order. It has a worst-case complexity of O(n^2).
Quicksort:
Quicksort is a divide and conquer algorithm that works by selecting a pivot element and partitioning the list around the pivot. It has a worst-case complexity of O(n^2), but its average case complexity is O(n log n).
Selection Sort:
Selection sort is a simple sorting algorithm that works by repeatedly finding the minimum element in a list and moving it to the beginning. It has a worst-case complexity of O(n^2).
Conclusion:
In conclusion, Merge sort has the lowest worst-case complexity among the given options. It has a worst-case complexity of O(n log n), which is faster than the worst-case complexities of Bubble sort, Quicksort, and Selection sort.
Selection Sort:
Selection sort is a simple sorting algorithm that works by repeatedly finding the minimum element in a list and moving it to the beginning. It has a worst-case complexity of O(n^2).
Conclusion:
In conclusion, Merge sort has the lowest worst-case complexity among the given options. It has a worst-case complexity of O(n log n), which is faster than the worst-case complexities of Bubble sort, Quicksort, and Selection sort.
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Which of the following sorting algorithms has the lowest worst-case co...
For,
1) Bubble sort it's O(n^2).
2) Quick sort it's O(n^2). sorted in either increasing order for decreasing order sorting and vice versa.
3) Selection sort O(n^2).
4) Merge Sort everything is O(nlogn) as divide and conquer in all cases.
1) Bubble sort it's O(n^2).
2) Quick sort it's O(n^2). sorted in either increasing order for decreasing order sorting and vice versa.
3) Selection sort O(n^2).
4) Merge Sort everything is O(nlogn) as divide and conquer in all cases.
Hence, Correct Answer is Option A
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Which of the following sorting algorithms has the lowest worst-case complexity?a)Merge sortb)Bubble sortc)Quicksortd)Selection sortCorrect answer is option 'A'. Can you explain this answer?
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