Graph algorithms are vital for analyzing interconnected data structures, enabling tasks like pathfinding and connectivity analysis in social networks and GPS systems. From route optimization to recommendation engines, they drive insights and optimizations across various domains. Their applications extend to fields like bioinformatics and logistics, showcasing their broad relevance in modern computing and problem-solving. What ...
You are given a sorted array of integers and a target element x. Your task is to find the first and last occurrences of x within the array. If the target element is not present in the array, return [-1, -1] to indicate that the element is not found. constraint: Output: Example 1: Input: nums = [5,7,7,8,8,10], target ...
There are many data structures like arrays, linked lists, and trees that are used to organise the data in a particular manner. A stack and a queue are two other data structures that are used to organise data. Both of them are linear data structures, which means they store and retrieve the elements in a sequencial manner from the structure when required. Stack ...
A data structure is a way of storing, organizing, and efficiently maintaining data concerning both time and space. Data structures can be of two types, static and dynamic data structures. Static data structures are the ones in which the size of the structure is predefined and fixed. On the other hand, dynamic data structures are the ones whose size ...
Data Structures are of two types: primitive and non primitive data structures. Refer to the below image for the types of the data structures The first type of data structure i.e. primitive data structure is considered as the fundamental data structure and it allows storing the values of only one data type but non-primitive data structures are considered as ...
Graphs, as non-linear data structures comprising nodes and edges, represent relationships between entities. Three classic graph representation in data structure include Adjacency Matrix, Adjacency List, and Incidence Matrix. While Adjacency Matrix offers fast edge retrieval but consumes more space, Adjacency List is space-efficient but slower for edge retrieval. Incidence Matrix is rarely used due to its inefficient space utilization and slower ...
An infix expression is one that we use regularly. A single letter or operator followed by one infix string and another infix string makes up an infix expression such as A, A + B, and (A + B) + (C – D). Therefore, there are operators between operands in this. If the operator appears in an expression before the ...
Problem Statement Given a number n. Find the sum of the first n even natural numbers. Example Input : 4 Output : 20 Explaination The Sum of the first 4 natural numbers is 20 because 2+4+6+8 = 20 Constraints 1 <= N <= 10000 Approach 1: Naive Approach (Using a for Loop) This is the Brute-Force method to find the sum ...
The set of instructions is repeated using both recursion and iteration. When a statement within a function repeatedly invokes itself, recursion occurs. Iteration happens when a loop runs repeatedly until the controlling condition is satisfied. Recursion and iteration vary fundamentally doing the same thing. iteration is used to apply a set of instructions that we want ...
Data Structures and algorithms is one of the most important topics that you need to have knowledge of along the path of being a software developer. The knowledge of this topic helps solve problems much more easily in the real world. It’s a skill that comes with practice. In this article, I will speak about the best ...