Bucket Sort AlgorithmIn this article, we will discuss the bucket sort Algorithm. The data items in the bucket sort are distributed in the form of buckets. In coding or technical interviews for software engineers, sorting algorithms are widely asked. So, it is important to discuss the topic. Bucket sort is a sorting algorithm that separate the elements into multiple groups said to be buckets. Elements in bucket sort are first uniformly divided into groups called buckets, and then they are sorted by any other sorting algorithm. After that, elements are gathered in a sorted manner. The basic procedure of performing the bucket sort is given as follows 
The advantages of bucket sort are 
The limitations of bucket sort are 
The best and averagecase complexity of bucket sort is O(n + k), and the worstcase complexity of bucket sort is O(n^{2}), where n is the number of items. Bucket sort is commonly used 
The basic idea to perform the bucket sort is given as follows  Now, let's see the algorithm of bucket sort. AlgorithmScattergather approachWe can understand the Bucket sort algorithm via scattergather approach. Here, the given elements are first scattered into buckets. After scattering, elements in each bucket are sorted using a stable sorting algorithm. At last, the sorted elements will be gathered in order. Let's take an unsorted array to understand the process of bucket sort. It will be easier to understand the bucket sort via an example. Let the elements of array are  Now, create buckets with a range from 0 to 25. The buckets range are 05, 510, 1015, 1520, 2025. Elements are inserted in the buckets according to the bucket range. Suppose the value of an item is 16, so it will be inserted in the bucket with the range 1520. Similarly, every item of the array will insert accordingly. This phase is known to be the scattering of array elements. Now, sort each bucket individually. The elements of each bucket can be sorted by using any of the stable sorting algorithms. At last, gather the sorted elements from each bucket in order Now, the array is completely sorted. Bucket sort complexityNow, let's see the time complexity of bucket sort in best case, average case, and in worst case. We will also see the space complexity of the bucket sort. 1. Time Complexity
2. Space Complexity
Implementation of bucket sortNow, let's see the programs of bucket sort in different programming languages. Program: Write a program to implement bucket sort in C language. Output After the execution of above code, the output will be  Program: Write a program to implement bucket sort in C++. Output After the execution of above code, the output will be  Program: Write a program to implement bucket sort in C#. Output After the execution of above code, the output will be  Program: Write a program to implement bucket sort in Java. Output After the execution of above code, the output will be  So, that's all about the article. Hope the article will be helpful and informative to you. This article was not only limited to the algorithm. Along with the algorithm, we have also discussed the bucket sort complexity, working, and implementation in different programming languages.
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