# What is stable sorting algorithm with example?

## What is stable sorting algorithm with example?

A sorting algorithm is said to be stable if two objects with equal keys appear in the same order in sorted output as they appear in the input unsorted array. Some Sorting Algorithm is stable by nature like Insertion Sort, Merge Sort and Bubble Sort etc. Sorting Algorithm is not stable like Quick Sort, Heap Sort etc.

## Which is the most stable algorithm?

Stable Sorting Algorithms:

• Insertion Sort.
• Merge Sort.
• Bubble Sort.
• Tim Sort.
• Counting Sort.
• Block Sort.
• Library Sort.

Is quicksort a stable sorting algorithm?

Quick sort is not a stable algorithm because the swapping of elements is done according to pivot’s position (without considering their original positions). A sorting algorithm is said to be stable if it maintains the relative order of records in the case of equality of keys.

### Which is an example of an algorithm for sorting a list of numbers?

Choosing a Sorting Algorithm

Algorithm Best-case Space Complexity
Merge Sort O ( n log ⁡ n ) O(n \log n) O(nlogn) O ( n ) O(n) O(n)
Insertion Sort O ( n ) O(n) O(n) O ( 1 ) O(1) O(1)
Bubble Sort O ( n ) O(n) O(n) O ( 1 ) O(1) O(1)
Quicksort O ( n log ⁡ n ) O(n \log n) O(nlogn) log ⁡ n \log n logn best, n n n avg

### Is quicksort stable example?

Quicksort is a comparison sort, meaning that it can sort items of any type for which a “less-than” relation (formally, a total order) is defined. Efficient implementations of Quicksort are not a stable sort, meaning that the relative order of equal sort items is not preserved.

What does it mean for a sorting algorithm to be “stable”?

A sorting algorithm is said to be stable if two objects with equal keys appear in the same order in sorted output as they appear in the input array to be sorted.

#### What is the stability of sorting algorithms?

Stability of a sorting algorithmn is the label that indicates whether or not it will preserve the order of two or more elements in the array if they have equal sorting keys. A sorting algorithm is stable if it preserves the order of multiple elements with the same keys .

#### What is unstable sorting algorithm?

If a sorting algorithm is said to be “unstable”, this means that for any items that rank the same, the order of the tied members is not guaranteed to stay the same with successive sorts of that collection. For a ‘stable’ sort, the tied entries will always end up in the same order when sorted.

What does sorting algorithm mean?

(May 2019) ( Learn how and when to remove this template message) In computer science, a sorting algorithm is an algorithm that puts elements of a list in a certain order . The most frequently used orders are numerical order and lexicographical order.

06/01/2021