Data structures are fundamental components in data science, enabling efficient storage, organization, and manipulation of information. Mastery of advanced data structures is vital for programmers, as they underpin the design and implementation of effective algorithms and software systems. The efficiency of algorithms often hinges on the choice and implementation of data structures, influencing both time ...
Problem Statement You are given an array $height[n]$ of integers of size n, where each value represents a coordinate position $(i, height[i])$. n vertical lines are drawn such that the endpoints of line i are at $(i, 0)$ and $(i, height[i])$. Find the container that is formed by two lines along with the x-axis, where the container ...
Data Structures and Algorithms is the most important subject in the world of Software and Computer Science. Data Structures and Algorithms are the base of every application which is built using coding, it can be a web application or a mobile application. It is used to solve any problem most efficiently. The **utilization of time and space ** ...
Problem Statement You are given an array arr[] containing n integers including duplicates. Write a program to find the majority element in an array if it is present. Else print no Majority Element Found. An element is called a majority element when it appears more than n/2 times in an array of length n. Example Input-1 Output-1 Explanation 9 appears 5 times which is ...
Binary Search is an efficient algorithm designed for searching within a sorted list of items. Its approach involves iteratively dividing the search space in half, until the target element found in the array. The time complexity of the Binary Search Algorithm is $O(log_2{n})$, Where n is the size of the sorted linear array. It means ...
A tree represents a hierarchical arrangement of nodes, forming a non-linear data structure. Each node in the tree holds a value and points to its child nodes, creating a branching structure akin to a natural tree. This hierarchical organization facilitates efficient storage and retrieval of data. Types of Trees in Data Structure According to the ...
This exercise will demonstrate how to obtain the sum of cubes of n natural numbers. Here, a single for loop from 1 to n is being used. We compute the term’s cube in each step before adding it to the total. This program executes in O(n) time. However, we may use this series formula given ...
Given a stack, write a program to reverse the order of the elements inside the stack using recursion. The element at the top should be moved to the bottom and so on. This program must use only standard stack operations – push(item), pop(), top(), size(), and isEmpty(). Example: Input: $23, 56, 82, 90$ Output: $90, ...
Problem Statment Consider two matrices X and Y each of the size N*N. We want to calculate the resultant matrix Z which is formed by multiplying the given two matrices i.e, X and Y. Example Let’s consider the below matrices for multiplication. Matrix A has a size N*M and matrix B has a size A*B. ...
Suffix arrays are very powerful data structures in terms of their applications in the field strings and string algorithms like pattern searching, string matching algorithms, the longest common prefix of two strings, counting the number of substrings, and in the field of biology some problems like DNA sequencing which uses suffix arrays to efficiently find the ...