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C++ Articles
Page 366 of 597
Check if characters of each word can be rearranged to form an Arithmetic Progression (AP)
In this article, we will discuss how to check if the characters of each word in a given string can be rearranged to form an Arithmetic Progression (AP). We will also implement the solution in C++ and provide an example to illustrate the working of the code. Arithmetic Progression (AP) An Arithmetic Progression (AP) is a sequence of numbers in which each term after the first is obtained by adding a constant d to the preceding term. The constant d is called the common difference. For example, the sequence 1, 3, 5, 7, 9 is an Arithmetic Progression with common ...
Read MoreCheck if characters of a string can be made non-decreasing by replacing ‘_’s
In this article, we'll delve into an intriguing problem in the field of string manipulation: how to check if the characters of a given string can be made non-decreasing by replacing '?' characters. This problem provides an excellent opportunity to hone your skills in string manipulation and condition checking in C++. Problem Statement Given a string consisting of alphabetic characters and question marks (?), determine whether the characters can be made non-decreasing by replacing the '?'s. The non-decreasing condition means that for every two adjacent characters in the string, the ASCII value of the second character is not less than ...
Read MoreCheck if all strings of an array can be made same by interchanging characters
In this article, we will explore the problem of checking whether all strings of an array can be made the same by interchanging characters. We will first understand the problem statement and then investigate both the naive and efficient approaches to solve this problem, along with their respective algorithms and time complexities. Lastly, we will implement the solution in C++. Problem Statement Given an array of strings, determine if all strings can be made the same by interchanging characters. Naive Approach The naive approach is to sort the characters of each string in the array and then compare each sorted ...
Read MoreCheck if a string represents a hexadecimal number or not
In computer science, hexadecimal is a base-16 number system. It uses 16 distinct symbols, including the ten decimal digits from 0 to 9 and the six letters A, B, C, D, E, and F to represent numbers from 0 to 15. In this article, we will discuss how to check if a string represents a hexadecimal number or not. Problem Statement Given a string, the task is to check if it represents a valid hexadecimal number or not. Approach We can solve this problem by iterating over the characters in the string and checking if they belong to the set ...
Read MoreCheck if a string can be split into two substrings with equal number of vowels
Welcome to another in-depth guide on a fascinating problem-solving topic in C++. This time, we will be tackling the problem of determining if a string can be divided into two substrings, each containing an equal number of vowels. This problem is an excellent exercise for honing your skills in string manipulation and vowel counting. Problem Statement Given a string, our objective is to determine if it can be partitioned into two non-empty substrings such that both substrings have an equal number of vowels. The vowels in the English alphabet are 'a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U'. ...
Read MoreCliques In Graph
Recently, graph-based representations have gained enormous popularity for simulating real-world data. Cliques are a key issue in graph theory that is used to solve numerous mathematical issues and create graphs. Cliques are extensively researched in the field of computer science, with the clique problem assessing if a clique having a certain size within a graph is NP-complete. Yet, in spite of all complexities, there has been research into several techniques for finding cliques. What Are Cliques? In all undirected graphs G = (N, E), a clique, is a "subset of the nodes", so that all pairs of distinct nodes is ...
Read MoreApplications, Advantages and Disadvantages of Unweighted Graph
How Do Graphs Work? A group of things that are connected is referred to as a graph. They may represent anything at all, from based on merely mathematical ideas, to real-life objects, events and occurrences. For instance, a graph represents a list of individuals with a family connection. Similarly, a network of metropolitan areas is linked together by roadways. Typically, we describe the elements of the network as nodes or vertices, while the links among them are referred to as edges or arcs. Pic 1 − Visual Representation of a Graph with Nodes and Edges Unweighted Graph: What Is ...
Read MoreProve That Dense Subgraph Is NP-Complete By Generalisation
Even with limitless time, algorithms are unable to resolve all computer problems. The answer to NP-complete problems remains unknown. It's worth noting that when single NP-complete issue is able to be answered in polynomial time, then all others may be resolved as well. Dense Subgraph A dense subgraph is one that has numerous edges for each vertex in the theory of graphs and computer science. Clique A clique constitutes a subsection of a graph in which every vertex is linked to every other vertex, making the "subgraph" a full graph. "Maximal Clique Problem" aims for locating the largest clique in ...
Read MoreProve That A Problem Consisting Of Clique And Independent Set Is Np-Complete
There is no solution to "NP-complete" problems. So far, there hasn't been a polynomial time method developed for any NP-complete problem, nor has anyone shown that there isn't one. There is an intriguing fact about NP-complete problems: if one manages to be resolved under polynomial time, all are within reach. In this post, we'll prove that a problem comprising an independent set and clique is NP-Complete. Clique A clique refers to a "subgraph" of a graph in which every node is connected to one another, implying that the subsection is a complete graph. NP-Class The NP in the NP class ...
Read MoreProve That Sparse Graph Is Np-Complete
Even with infinite time, there are some computing issues that algorithms cannot resolve. NP-complete problems are those whose solution is unknown. It's intriguing to note that if one NP-complete question can be resolved in polynomial time, subsequently, all others can be resolved. In this study, we will define a sparse graph, discuss several complexity classes, independent sets, and demonstrate that sparse graphs are NP-complete. What Is A Sparse Graph? A sparse graph is one with a limited number of edges. The total number of edges in this situation is significantly fewer than there could be or the highest possible number ...
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