Data Structure Articles

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Minimum prefixes required to be flipped to convert a Binary String to another

Shubham Vora
Shubham Vora
Updated on 28-Jul-2023 378 Views

In this problem, we need to convert the first binary string to the second binary string by flipping the prefix of the first string. To get the minimum prefix flip, we require to iterate through the end of the string, and if we find mismatched characters in both strings, we need to flip the prefix of the first string. Problem statement − We have given two different binary strings called first and second. The length of both binary strings is equal, which is N. We need to convert the first string into the second string by flipping the prefixes of ...

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Maximum Spanning Tree using Prim’s Algorithm

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 2K+ Views

Introduction One of the most important ideas in graph theory and data structures is the Maximum Spanning Tree using Prim's Algorithm. It tries to find the tree that links all of the points in a graph with the most weighted edges overall. Prim's Algorithm quickly finds this tree by adding the edges with the most weight after each iteration. It is a key part of network design and clustering uses. Prim's Algorithm Overview and Basics Prim's method is a popular greedy method that is used to find the MiST or the minimum spanning tree of a connected, weighted graph. ...

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Find a node such that all paths from that node to leaf nodes are of the same color

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 400 Views

Introduction In data structures, one of the most important problems is to find a node in a tree where all lines from that node to the leaf nodes have the same color. This topic looks at how graph theory and depth-first search methods can be used to find these nodes quickly. By using a color-coding method and looking at how it affects tree traversal, this problem can teach us a lot about the real world and help us make tree-related processes more efficient. Graph Theory Fundamentals Graph theory is one of the most important ideas in computer science and math. ...

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Cayley’s Formula

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 693 Views

Introduction Arthur Cayley came up with Cayley's Formula in the middle of the 19th century. It is one of the most important results in combinatorics and group theory. It says that every finite group can be shown as a permutation group on its own elements. Counting spanning trees in both depend on this idea. Permutations and Groups Understanding Permutations and Groups −Permutations are unique arrangements of elements, important in combinatorics. A group is a structure in algebra that has certain features. Permutation groups are subsets of the symmetric group. They are very useful for learning about abstract mathematics. Key ...

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Java Program to Optimize Wire Length in Electrical Circuit

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 273 Views

Introduction The introduction to the Java Program to Optimize Wire Length in Electrical Circuit provides a comprehensive overview of the optimization of electrical circuits. It emphasizes the importance of optimizing the wire length in circuit design. The primary goal of the Java program is to develop an algorithm that intelligently minimizes wire lengths, thereby minimizing power consumption and signal interference Understanding Electrical Circuits An electrical circuit has important parts like resistors, capacitors, inductors, diodes, transistors, and switches. The section shows how they work, how they behave, what their symbols mean, and what role they play in how current flows. Circuit ...

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Check if a graph constructed from an array based on given conditions consists of a cycle or not

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 275 Views

Introduction In graph theory, it is a very important task to figure out if a graph built from an array and meeting certain conditions has a cycle or not. A graph is an imaginary way to show how things are linked together. It is used in a lot of places, like computer networks and social networks. This article talks about the conditions for graph construction, the BFS and DFS algorithm, and a step by step guide how loops in a undirected graph is identified. Array Representation of a Graph An array-based method in graph theory stores vertices and edges in ...

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Successor Graphs

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 1K+ Views

Introduction A Successor Graph is a model of a directed graph in which each node stores a list of the nodes that come after it. Successor graphs are better than an adjacency matrix or list because they speed up access to outgoing edges. This makes them perfect for algorithms that need quick access to successor vertices. This choice of design works well for graphs with a lot of points but not many edges Representation of Successor Graphs using Adjacency Matrix Successor graphs store only the direct successors of each vertex, reducing memory usage and speeding up edge insertion and deletion ...

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Print matrix elements using DFS traversal

Someswar Pal
Someswar Pal
Updated on 28-Jul-2023 1K+ Views

Introduction Depth-First Search (DFS) is a graph traversal method that looks at vertices and edges by starting at a certain node and going as far as possible down each branch before going back.It looks at the "depth" of the graph, starting with the node that is the deepest and then going back to look at other lines. Recursion or a stack can be used to make DFS work. It can be used to find paths, find cycles in graphs and vectors, and do exhaustive searches. Understanding the Matrix Structure In data analysis, a matrix is a two-dimensional array. Matrix data ...

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Minimum characters to be replaced in Ternary string to remove all palindromic substrings for Q queries

Prabhdeep Singh
Prabhdeep Singh
Updated on 26-Jul-2023 254 Views

A palindromic string is a string that is equal to its reverse string. We are given a string that contains ‘0’, ‘1’, and ‘2’ and an array Q of length N and each index of the given array indicates a range in the form of pairs. We have to find the minimum number of characters that are needed to replace in the given range such that none of the palindromic substrings remains in that range. Sample Example Input1: string s: “01001020002”, int Q = {{0, 4}, {2, 5}, {5, 10}}; Output: 1 1 3 Explanation For the range ...

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Maximize given function by selecting equal length substrings from given Binary Strings

Prabhdeep Singh
Prabhdeep Singh
Updated on 26-Jul-2023 320 Views

Two binary strings str1 and str2 of the same length are given and we have to maximize a given function value by choosing the substrings from the given strings of equal length. The given function is such that − fun(str1, str2) = (len(substring))/(2^xor(sub1, sub2)). Here, len(substring) is the length of the first substring while xor(sub1, sub2) is the xor of the given substrings as they are binary strings so it is possible. Sample Examples Input1: string str1 = 10110 & string str2 = 11101 Output: 3 Explanation We can choose a lot of different sets of strings ...

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