# Complexity of all searching and sorting algorithms pdf

Posted on Thursday, March 18, 2021 11:03:20 AM Posted by Vivek W. - 18.03.2021

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In computer science , selection sort is an in-place comparison sorting algorithm. It has an O n 2 time complexity , which makes it inefficient on large lists, and generally performs worse than the similar insertion sort. Selection sort is noted for its simplicity and has performance advantages over more complicated algorithms in certain situations, particularly where auxiliary memory is limited. The algorithm divides the input list into two parts: a sorted sublist of items which is built up from left to right at the front left of the list and a sublist of the remaining unsorted items that occupy the rest of the list.

## Bubble Sort Algorithm

In this chapter you will be dealing with the various sorting techniques and their algorithms used to manipulate data structure and its storage. Sorting method can be implemented in different ways - by selection, insertion method, or by merging. Various types and forms of sorting methods have been explored in this tutorial. Sorting refers to the operation or technique of arranging and rearranging sets of data in some specific order. A collection of records called a list where every record has one or more fields. The fields which contain a unique value for each record is termed as the key field.

## Data Structure - Sorting Techniques

I am too fascinated how algorithms made an impact in our day-to-day lives. An algorithm is a finite sequence of precise instructions for performing a computation or for solving a problem. Now before heading up to main topic, I want to share the basics of analysis of the algorithms including time complexity and space complexity. Always a question arises -. When does an algorithm provide a satisfactory solution to a problem? Questions such as these involve the computational complexity of the algorithm. An analysis of the time required to solve a problem of a particular size involves the time complexity of the algorithm.

## Selection sort

In computer science , best , worst, and average cases of a given algorithm express what the resource usage is at least , at most and on average , respectively. Usually the resource being considered is running time, i. Best case is the function which performs the minimum number of steps on input data of n elements. Worst case is the function which performs the maximum number of steps on input data of size n.

### Data Structure - Sorting Techniques

The sorting algorithms Insertion sort. Insertion sort is good only for sorting small arrays usually less than items. In fact, the smaller the array, the faster insertion sort is compared to any other sorting algorithm. However, being an O n 2 algorithm, it becomes very slow very quick when the size of the array increases. It was used in

Bubble Sort is a simple algorithm which is used to sort a given set of n elements provided in form of an array with n number of elements. Bubble Sort compares all the element one by one and sort them based on their values. If the given array has to be sorted in ascending order, then bubble sort will start by comparing the first element of the array with the second element, if the first element is greater than the second element, it will swap both the elements, and then move on to compare the second and the third element, and so on. If we have total n elements, then we need to repeat this process for n-1 times. It is known as bubble sort , because with every complete iteration the largest element in the given array, bubbles up towards the last place or the highest index, just like a water bubble rises up to the water surface.

We have learned that in order to write a computer program which performs some task we must construct a suitable algorithm. However, whatever algorithm we construct is unlikely to be unique — there are likely to be many possible algorithms which can perform the same task. Are some of these algorithms in some sense better than others? Algorithm analysis is the study of this question. Algorithm analysis should begin with a clear statement of the task to be performed. This allows us both to check that the algorithm is correct and to ensure that the algorithms we are comparing perform the same task.

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