# Searching and sorting algorithms in c++ pdf

## Sorting algorithm - Wikipedia

Sorting refers to arranging data in a particular format. Sorting algorithm specifies the way to arrange data in a particular order. Most common orders are in numerical or lexicographical order. The importance of sorting lies in the fact that data searching can be optimized to a very high level, if data is stored in a sorted manner. Sorting is also used to represent data in more readable formats. Sorting algorithms may require some extra space for comparison and temporary storage of few data elements. These algorithms do not require any extra space and sorting is said to happen in-place, or for example, within the array itself.## C++ Programming: Binary Search Algorithm

## Radix Sort

Sorting is nothing but arranging the data in ascending or descending order. The term sorting came into picture, as humans realised the importance of searching quickly. There are so many things in our real life that we need to search for, like a particular record in database, roll numbers in merit list, a particular telephone number in telephone directory, a particular page in a book etc. All this would have been a mess if the data was kept unordered and unsorted, but fortunately the concept of sorting came into existence, making it easier for everyone to arrange data in an order, hence making it easier to search. If you ask me, how will I arrange a deck of shuffled cards in order, I would say, I will start by checking every card, and making the deck as I move on.

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. Efficient sorting is important for optimizing the efficiency of other algorithms such as search and merge algorithms that require input data to be in sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. More formally, the output of any sorting algorithm must satisfy two conditions:. Further, the input data is often stored in an array , which allows random access , rather than a list, which only allows sequential access ; though many algorithms can be applied to either type of data after suitable modification.

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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. Table of Contents 1. What is sorting? Categories of Sorting 3. The Complexity of Sorting Algorithms 4.

What if the elements are in range from 1 to n 2? Can we sort such an array in linear time? Radix Sort is the answer. The idea of Radix Sort is to do digit by digit sort starting from least significant digit to most significant digit. Radix sort uses counting sort as a subroutine to sort. The Radix Sort Algorithm 1 Do following for each digit i where i varies from least significant digit to the most significant digit.

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