Last Updated : 12 Apr, 2025
Array is a linear data structure where all elements are arranged sequentially. It is a collection of elements of **same data type stored at **contiguous memory locations .
For simplicity, we can think of an array as a flight of stairs where on each step is placed a value (let's say one of your friends). Here, you can identify the location of any of your friends by simply knowing the count of the step they are on.
This makes it easier to calculate the position of each element by simply adding an **offset to a base value, i.e., the memory location of the first element of the array (generally denoted by the name of the array). The base value is index 0 and the difference between the two indexes is the **offset .
**Is the array always of a fixed size?
Arrays at core are of fixed size only, but most of the languages provide dynamic sized arrays using the underlying fixed sized arrays. For example, vector in C++, ArrayList in Java and list in Python. In C language, the array has a fixed size meaning once the size is given to it, it cannot be changed i.e. you can’t shrink it nor can you expand it.
**Important Points to Note about Arrays
Array is a fundamental data structure and used to implement other data structures like stack, queue, dequeue and heap.
The main advantages of using array over other data structures are cache friendliness and random access memory. Please refer **Getting Started with Array Data Structure for more details.
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Basic operations in Array
Array Reverse - Complete Tutorial Given an array arr[], the task is to reverse the array. Reversing an array means rearranging the elements such that the first element becomes the last, the second element becomes second last and so on.Examples: Input: arr[] = {1, 4, 3, 2, 6, 5} Output: {5, 6, 2, 3, 4, 1}Explanation: The first elemen 15+ min read
Rotate an Array by d - Counterclockwise or Left Given an array of integers arr[] of size n, the task is to rotate the array elements to the left by d positions.Examples:Input: arr[] = {1, 2, 3, 4, 5, 6}, d = 2Output: {3, 4, 5, 6, 1, 2}Explanation: After first left rotation, arr[] becomes {2, 3, 4, 5, 6, 1} and after the second rotation, arr[] bec 15+ min read
Print array after it is right rotated K times Given an Array of size N and a value K, around which we need to right rotate the array. How do you quickly print the right rotated array?Examples : Input: Array[] = {1, 3, 5, 7, 9}, K = 2.Output: 7 9 1 3 5Explanation:After 1st rotation - {9, 1, 3, 5, 7}After 2nd rotation - {7, 9, 1, 3, 5} Input: Arr 15+ min read
Generating All Subarrays Given an array arr[], the task is to generate all the possible subarrays of the given array.Examples: Input: arr[] = [1, 2, 3]Output: [ [1], [1, 2], [2], [1, 2, 3], [2, 3], [3] ]Input: arr[] = [1, 2]Output: [ [1], [1, 2], [2] ]Iterative ApproachTo generate a subarray, we need a starting index from t 8 min read
Easy problems on Array
Move all zeros to end of array Given an array of integers arr[], the task is to move all the zeros to the end of the array while maintaining the relative order of all non-zero elements.Examples: Input: arr[] = [1, 2, 0, 4, 3, 0, 5, 0]Output: arr[] = [1, 2, 4, 3, 5, 0, 0, 0]Explanation: There are three 0s that are moved to the end 15 min read
Rearrange an array in maximum minimum form using Two Pointer Technique Given a sorted array of positive integers, rearrange the array alternately i.e first element should be a maximum value, at second position minimum value, at third position second max, at fourth position second min, and so on. Examples: Input: arr[] = {1, 2, 3, 4, 5, 6, 7} Output: arr[] = {7, 1, 6, 2 6 min read
Segregate even and odd numbers using Lomuto’s Partition Scheme Given an array arr[] of integers, segregate even and odd numbers in the array such that all the even numbers should be present first, and then the odd numbers.Examples: Input: arr[] = {7, 2, 9, 4, 6, 1, 3, 8, 5}Output: 2 4 6 8 7 9 1 3 5Input: arr[] = {1, 3, 2, 4, 7, 6, 9, 10}Output: 2 4 6 10 7 1 9 3 6 min read
Reversal algorithm for Array rotation Given an array arr[] of size N, the task is to rotate the array by d position to the left. Examples: Input: arr[] = {1, 2, 3, 4, 5, 6, 7}, d = 2Output: 3, 4, 5, 6, 7, 1, 2Explanation: If the array is rotated by 1 position to the left, it becomes {2, 3, 4, 5, 6, 7, 1}.When it is rotated further by 1 15 min read
Sort an array which contain 1 to n values We are given an array that contains 1 to n elements, our task is to sort this array in an efficient way. We are not allowed to simply copy the numbers from 1 to n.Examples : Input : arr[] = {2, 1, 3};Output : {1, 2, 3}Input : arr[] = {2, 1, 4, 3};Output : {1, 2, 3, 4} Native approach - O(n Log n) Ti 7 min read
Print all Distinct (Unique) Elements in given Array Given an integer array arr[], print all distinct elements from this array. The given array may contain duplicates and the output should contain every element only once.Examples: Input: arr[] = {12, 10, 9, 45, 2, 10, 10, 45}Output: {12, 10, 9, 45, 2}Input: arr[] = {1, 2, 3, 4, 5}Output: {1, 2, 3, 4, 11 min read
Find the smallest missing number Given a sorted array of n distinct integers where each integer is in the range from 0 to m-1 and m > n. Find the smallest number that is missing from the array. Examples: Input: {0, 1, 2, 6, 9}, n = 5, m = 10 Output: 3 Input: {4, 5, 10, 11}, n = 4, m = 12 Output: 0 Input: {0, 1, 2, 3}, n = 4, m = 15 min read
Smallest subarray with sum greater than a given value Given an array arr[] of integers and a number x, the task is to find the smallest subarray with a sum strictly greater than x.Examples:Input: x = 51, arr[] = [1, 4, 45, 6, 0, 19]Output: 3Explanation: Minimum length subarray is [4, 45, 6]Input: x = 100, arr[] = [1, 10, 5, 2, 7]Output: 0Explanation: N 15+ min read
3 Sum - Triplet Sum in Array Given an array arr[] of size n and an integer sum, the task is to check if there is a triplet in the array which sums up to the given target sum.Examples: Input: arr[] = [1, 4, 45, 6, 10, 8], target = 13Output: true Explanation: The triplet [1, 4, 8] sums up to 13Input: arr[] = [1, 2, 4, 3, 6, 7], t 15 min read
Hard problems on Array
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Range LCM Queries Given an array arr[] of integers of size N and an array of Q queries, query[], where each query is of type [L, R] denoting the range from index L to index R, the task is to find the LCM of all the numbers of the range for all the queries.Examples: Input: arr[] = {5, 7, 5, 2, 10, 12 ,11, 17, 14, 1, 4 15+ min read
Maximum equilibrium sum in an array Given an array arr[]. Find the maximum value of prefix sum which is also suffix sum for index i in arr[].Examples : Input : arr[] = {-1, 2, 3, 0, 3, 2, -1}Output : 4Explanation : Prefix sum of arr[0..3] = Suffix sum of arr[3..6]Input : arr[] = {-3, 5, 3, 1, 2, 6, -4, 2}Output : 7Explanation : Prefix 11 min read