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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 θ time when input array is already sorted.
Most Upvoted Answer
Which sorting algorithm will take least time when all elements of inpu...
Insertion Sort
- Explanation:
When all elements of the input array are identical, it means that the array is already sorted. In this case, Insertion Sort will take the least time among the given sorting algorithms.
- Reasons:
- Insertion Sort has a best-case time complexity of O(n) when the array is already sorted, making it the most efficient choice in this scenario.
- Other sorting algorithms like Heap Sort, Merge Sort, and Selection Sort have higher time complexities even when all elements are identical.
- Insertion Sort Overview:
- Insertion Sort works by iterating through the array, comparing each element with its previous elements and inserting it into the correct position.
- Conclusion:
In conclusion, when all elements of the input array are identical, Insertion Sort is the most suitable sorting algorithm due to its efficiency in the best-case scenario.
- Explanation:
When all elements of the input array are identical, it means that the array is already sorted. In this case, Insertion Sort will take the least time among the given sorting algorithms.
- Reasons:
- Insertion Sort has a best-case time complexity of O(n) when the array is already sorted, making it the most efficient choice in this scenario.
- Other sorting algorithms like Heap Sort, Merge Sort, and Selection Sort have higher time complexities even when all elements are identical.
- Insertion Sort Overview:
- Insertion Sort works by iterating through the array, comparing each element with its previous elements and inserting it into the correct position.
- Conclusion:
In conclusion, when all elements of the input array are identical, Insertion Sort is the most suitable sorting algorithm due to its efficiency in the best-case scenario.
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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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