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Find number of closed islands in given Matrix

Last Updated: 11 April 2023

Given a binary matrix mat[][] of dimensions NxM such that 1 denotes the island and 0 denotes the water. The task is to find the number of closed islands in the given matri ...read more

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Minimum changes required to make two arrays identical

Last Updated: 02 September 2022

Given two arrays,[Tex]A[/Tex]and[Tex]B[/Tex]with n elements each. The task is to make these two arrays identical i:e, for each[Tex]1\leq i \leq N[/Tex], we want to make[Te ...read more

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Kruskal's Algorithm (Simple Implementation for Adjacency Matrix)

Last Updated: 20 March 2023

Below are the steps for finding MST using Kruskal's algorithmSort all the edges in non-decreasing order of their weight.Pick the smallest edge. Check if it forms a cycle w ...read more

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Disjoint Set Union on Trees

Last Updated: 05 March 2023

Given a tree and weights of nodes. Weights are non-negative integers. Task is to find maximum size of a subtree of a given tree such that all nodes are even in weights.Pre ...read more

Binary Trees Quiz

Union-Find Algorithm | (Union By Rank and Find by Optimized Path Compression)

Last Updated: 14 December 2022

Check whether a given graph contains a cycle or not.Example:Input: Output: Graph contains Cycle.Input: Output: Graph does not contain Cycle.Prerequisites: Disjoint Set (Or...read more

Advanced Data Structure

Calculate number of nodes between two vertices in an acyclic Graph by Disjoint Union method

Last Updated: 05 March 2023

Given a connected acyclic graph, a source vertex and a destination vertex, your task is to count the number of vertices between the given source and destination vertex by ...read more

Dynamic Connectivity | Set 1 (Incremental)

Last Updated: 06 June 2023

Dynamic connectivity is a data structure that dynamically maintains the information about the connected components of graph. In simple words suppose there is a graph G(V, ...read more

Advanced Data Structure

Find the number of Islands using Disjoint Set

Last Updated: 20 February 2023

Given a boolean 2D matrix, find the number of islands.A group of connected 1s forms an island. For example, the below matrix contains 5 islands{1, 1, 0, 0, 0},{0, 1, 0, 0,...read more

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Job Sequencing Problem using Disjoint Set

Last Updated: 15 February 2023

Given a set of n jobs where each job i has a deadline di =1 and profit pi=0. Only one job can be scheduled at a time. Each job takes 1 unit of time to complete. We earn th ...read more

Disjoint Set Data Structures

Last Updated: 22 September 2023

A disjoint-set data structure is defined as one that keeps track of a set of elements partitioned into a number of disjoint (non-overlapping) subsets.A union-find algorith ...read more

Advanced Data Structure

Tarjan's off-line lowest common ancestors algorithm

Last Updated: 02 March 2022

Prerequisite : LCA basics, Disjoint Set Union by Rank and Path CompressionWe are given a tree(can be extended to a DAG) and we have many queries of form LCA(u, v), i.e., f...read more

Advanced Data Structure

Kruskal's Minimum Spanning Tree using STL in C++

Last Updated: 27 March 2023

Given an undirected, connected and weighted graph, find Minimum Spanning Tree (MST) of the graph using Kruskal's algorithm.Input : Graph as an array of edgesOutput : Ed ...read more

Detect cycle in an undirected graph

Last Updated: 25 July 2023

Given an undirected graph, The task is to check if there is a cycle in the given graph.Example:Input: N = 4, E = 4Output: YesExplanation:The diagram clearly shows a cycle ...read more

Union By Rank and Path Compression in Union-Find Algorithm

Last Updated: 24 March 2023

In the previous post, we introduced union find algorithm and used it to detect cycles in a graph. We used the following union() and find() operations for subsets.[tabby ti ...read more

Introduction to Disjoint Set (Union-Find Algorithm)

Last Updated: 02 October 2023

What is a Disjoint set data structure?Two sets are called disjoint sets if they don't have any element in common, the intersection of sets is a null set.A data structure t ...read more