A sorting algorithm is called stable if it preserves the relative order of any t

Q: A sorting algorithm is called stable if it preserves the relative order of any t

Stability of any sorting technique is an important property for sorting, if this property is not applied then the sorting technique is to be considered there are following techniques of sorting which follows stabiltiy property Insertion Sort Merge Sort Quick Sort Any sorting algorithm which is not stable can be convert to stable by using sability algorithm.

ID: 657237 • Letter: A

Question

A sorting algorithm is called stable if it preserves the relative order of any two equal elements in its input. That is, if a[i] = a[j] with i < j in the array before sorting, then the entry a[i] will end up in the sorted array in a position before the one where a[j] ends up, for any such pair (i,j). Which of the sorting algorithms we considered are stable? Why might stability be a good property of a sorting algorithm?

Sorting algorithms to consider: Binary search, insertion sort, quick sort, red-black tree, 2-3 tree, selection sort, merge sort

Explanation / Answer

Stability of any sorting technique is an important property for sorting, if this property is not applied then the sorting technique is to be considered there are following techniques of sorting which follows stabiltiy property

Insertion Sort

Merge Sort

Quick Sort

Any sorting algorithm which is not stable can be convert to stable by using sability algorithm.

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A sorting algorithm is called stable if it preserves the relative order of any t

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