{"id":12759,"date":"2023-02-13T10:16:45","date_gmt":"2023-02-13T10:16:45","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=12759"},"modified":"2023-04-19T11:36:39","modified_gmt":"2023-04-19T11:36:39","slug":"kth-smallest-element-in-an-array","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/kth-smallest-element-in-an-array\/","title":{"rendered":"Kth Smallest Element in an Array"},"content":{"rendered":"

\"\"<\/p>\n

An array is a data structure used in computer programming to store a collection of values, each with its own unique index or key. These values can be of any data type, such as integers, characters, or objects. Arrays allow for efficient access to and manipulation of individual elements, making them a common tool for organizing and processing data. Arrays can be one-dimensional<\/a>, where values are stored in a linear sequence, or multi-dimensional, where values are organized in a grid-like structure. The size of an array is fixed when it is created, and elements can be added or removed using built-in functions. Arrays are a fundamental concept in many programming languages and are widely used in a variety of applications. The elements can be present in any order and we will find the kth smallest element in an array.<\/p>\n

Kth Smallest Element in an Array<\/h2>\n

Given an array of integer type containing n elements, we have to find the kth smallest element in an array. With the condition given that all the elements in the array are distinct. And the value of k will be less than equal to n where n is the number of elements in the array.<\/p>\n

Examples to Understand<\/h3>\n

Here we will look at some of the examples corresponding to the question of finding the kth smallest element in an array.<\/p>\n

Input<\/strong><\/p>\n

A[]={1, 5,7,16,2,4,3,77}\n k=3<\/code><\/pre>\n
Output:<\/strong><\/p>\n
The 3rd smallest element of the above array is 3.<\/code><\/pre>\n
Input<\/strong><\/p>\n
A[]={11, 52,7,146,24,44,3,46,75,23,42}\n k=4<\/code><\/pre>\n
Output:<\/strong><\/p>\n
The 4th smallest element of the above array is 23.<\/code><\/pre>\n
Different Methods to Find Kth Smallest Element of an Array<\/h2>\n
Now we will discuss various approaches to solve the above problem i,e, find the kth smallest element in an array.<\/p>\n
Approach 1: Brute Force using Sorting<\/h3>\n
In this approach, we will see the solution to the question of finding the kth smallest element in an array using sorting.
\nAs the name suggests it is simple to approach we will just sort the array and after that, we will find the kth element from the start of the array i.e, from the left.<\/p>\n
Algorithm<\/strong>
\nHere we will discuss the steps one needs to follow to implement the above approach.<\/p>\n