Which of the following sorting algorithms in its typical implementatio...
Insertion sort takes linear time when input array is sorted or almost sorted (maximum 1 or 2 elements are misplaced). All other sorting algorithms mentioned above will take more than lienear time in their typical implementation.
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Which of the following sorting algorithms in its typical implementatio...
Explanation:
Sorting algorithms are used to arrange data in a specific order. There are various sorting algorithms available like Quick Sort, Heap Sort, Merge Sort, and Insertion Sort. Each sorting algorithm has its own advantages and disadvantages.
When it comes to performance, the choice of sorting algorithm depends on the characteristics of the input data. If the input data is already sorted or almost sorted, then some sorting algorithms perform better than others.
Insertion Sort:
Insertion Sort is an efficient algorithm for sorting small arrays or lists. It works by iterating through an array, comparing each element with the previous element, and swapping them if they are in the wrong order. It is a simple sorting algorithm that is easy to understand and implement.
Insertion Sort performs best when the input data is already sorted or almost sorted. In this case, the number of comparisons and swaps required by the algorithm is minimal. Insertion Sort has a time complexity of O(n^2) in the worst case and O(n) in the best case.
Quick Sort:
Quick Sort is a divide-and-conquer algorithm that works by selecting a pivot element and partitioning the array around the pivot. It is a fast and efficient algorithm that has an average time complexity of O(n log n). However, it performs poorly when the input data is already sorted or almost sorted.
Heap Sort:
Heap Sort is a comparison-based sorting algorithm that works by building a max-heap of the input data and repeatedly extracting the maximum element from the heap. It has a time complexity of O(n log n) in the worst case, but it performs poorly when the input data is already sorted or almost sorted.
Merge Sort:
Merge Sort is a divide-and-conquer algorithm that works by recursively dividing the input data into smaller subarrays, sorting them, and then merging them back together. It has a time complexity of O(n log n) in the worst case, but it performs poorly when the input data is already sorted or almost sorted.
Conclusion:
In conclusion, Insertion Sort is the best sorting algorithm for sorting data that is already sorted or almost sorted. It has a time complexity of O(n) in the best case, which makes it the most efficient algorithm in this scenario.
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