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Which sorting algorithm will take least time when all elements of input array are identical? Consider typical implementations of sorting algorithms.
- a)Insertion Sort
- b)Heap Sort
- c)Merge Sort
- d)Selection Sort
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Which sorting algorithm will take least time when all elements of inpu...
The insertion sort will take 
time when input array is already sorted.
time when input array is already sorted.Most Upvoted Answer
Which sorting algorithm will take least time when all elements of inpu...
Explanation:
When all elements of the input array are identical, it means that the array is already sorted. In such a case, some sorting algorithms perform better than others.
Insertion Sort:
Insertion Sort is an efficient algorithm when it comes to sorting an already sorted array. The algorithm simply traverses the array once, comparing each element with its predecessor. Since all elements are already identical, the algorithm will just compare each element with its predecessor and find no difference, thus completing the sort in minimum time.
Heap Sort:
Heap Sort is a comparison-based sorting algorithm that uses a binary heap data structure to sort elements. In the case of an array with identical elements, it takes the same amount of time as any other comparison-based sorting algorithm.
Merge Sort:
Merge Sort is a divide-and-conquer algorithm that divides an array into two halves, sorts them separately, and then merges them back together. In the case of an array with identical elements, Merge Sort still needs to perform the divide and merge operations, which takes more time than Insertion Sort.
Selection Sort:
Selection Sort is a simple sorting algorithm that selects the smallest element from an unsorted array and swaps it with the first element, then selects the second smallest element and swaps it with the second element, and so on. In the case of an array with identical elements, Selection Sort will still perform the same number of swaps as in any other case, making it slower than Insertion Sort.
Therefore, Insertion Sort is the best sorting algorithm when all elements of the input array are identical.
When all elements of the input array are identical, it means that the array is already sorted. In such a case, some sorting algorithms perform better than others.
Insertion Sort:
Insertion Sort is an efficient algorithm when it comes to sorting an already sorted array. The algorithm simply traverses the array once, comparing each element with its predecessor. Since all elements are already identical, the algorithm will just compare each element with its predecessor and find no difference, thus completing the sort in minimum time.
Heap Sort:
Heap Sort is a comparison-based sorting algorithm that uses a binary heap data structure to sort elements. In the case of an array with identical elements, it takes the same amount of time as any other comparison-based sorting algorithm.
Merge Sort:
Merge Sort is a divide-and-conquer algorithm that divides an array into two halves, sorts them separately, and then merges them back together. In the case of an array with identical elements, Merge Sort still needs to perform the divide and merge operations, which takes more time than Insertion Sort.
Selection Sort:
Selection Sort is a simple sorting algorithm that selects the smallest element from an unsorted array and swaps it with the first element, then selects the second smallest element and swaps it with the second element, and so on. In the case of an array with identical elements, Selection Sort will still perform the same number of swaps as in any other case, making it slower than Insertion Sort.
Therefore, Insertion Sort is the best sorting algorithm when all elements of the input array are identical.
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Which sorting algorithm will take least time when all elements of inpu...
Merge sort
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Which sorting algorithm will take least time when all elements of input array are identical? Consider typical implementations of sorting algorithms.a)Insertion Sortb)Heap Sortc)Merge Sortd)Selection SortCorrect answer is option 'A'. Can you explain this answer?
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