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Introduction The issue of finding the minimum cost of a path between two given nodes in a directed and weighted graph, whereas ensuring that the path contains at most K nodes, may be a significant challenge in chart hypothesis. This issue has different applications in differing domains, counting transportation systems, logistics planning, and network optimization. In this article, we have investigated two distinctive approaches to handling this issue using C language. Each approach utilizes a special algorithmic procedure to discover the least cost path whereas considering the constraint on the number of nodes in the way. Approach 1: Dynamic Programming ... Read More
In this problem, we need to find the smallest substring so that we can replace its character and make the frequency of each character equal to the N/3 in the given string. We can use the sliding window technique to solve the problem. We can find the minimum window size, which contains all excess characters, that will be the answer to the problem. Problem statement – We have given a string alpha. The size of the alpha is N which is always divisible by 3. The given task is to find the minimum length of the substring so that we ... Read More
Introduction In this article, the user will focus on how to Append K characters N times in python. In the Python Language, append() function is used to add a character to the existing list, but to add K characters in N number of times different approach is utilized. The first approach utilize the join() method, the second approach utilize the textwrap() method and the last approach utilize the reduce() method to add the character to the existing string. Append K characters N times The methods to do this can be varying and some may be simple loop iteration on the ... Read More
Introduction The problem of finding the minimum number of moves to make two given numbers M and N rise by repeatedly including any divisor of a number (except 1 and the number itself) can be approached without utilizing Dynamic Programming. In this issue, we are required to plan methodologies that minimize the number of moves required to attain the specified uniformity. Two approaches are displayed to handle this issue: Greedy Algorithm, Prime Factorization. These approaches utilize distinctive strategies to recognize common divisors and optimize the method of making the numbers rise to investigate these non-Dynamic Programming approaches, we will pick up ... Read More
Introduction The issue at hand is to determine the number of distinct shortest ways from Node 1 to Node N in a weighted and directed graph. We are given a graph representation comprising of nodes and edges, where each edge encompasses a weight related with it. Our objective is to create an algorithm that can effectively calculate the count of particular shortest ways, taking into consideration the weighted nature of the graph. For this issue, we have presented three diverse approaches to decide the number of particular shortest ways. The primary approach utilizes a Depth-First Search (DFS) algorithm, the second ... Read More
Introduction In Python, a tuple is one of the types of data structures. The tuples are composed of items or elements and look more like lists. It has elements which cannot be changed after declaration. To return all the possible combinations of the tuple primarily the itertool library is used. The iteration or repetition process through the tuples is done using the iterator object containing various items. For the purpose of returning all possible combinations in a tuple, we can use many functions like combination(), chain(), product() and concatenation method. All Possible N combination tuples Tuple is a data structure ... Read More
In this problem, we require to determine the minimal cost to make the string’s left and right rotation same. Here is the observation which we will use to solve the problem. All characters should be equal for strings with odd lengths to make the left and right rotations the same. The string with an even length should have characters same at the even and odd indexes. Problem statement – We have a string of size N containing the different characters. We need to determine the minimum cost to make the left and right rotations of the given ... Read More
Introduction In graph theory, nodes and edges form the fundamental units of connected structures. They are widely used to represent a broad range of relationships and connections between different entities. In this article, we will dive into an interesting problem involving counting graphs formed by changing the color of red-colored nodes with black parent nodes in C++. We will explain the concept behind graph coloring, introduce an algorithmic approach to solve this problem, and provide a detailed C++ code implementation that we can use. Count of graphs formed by changing color Graph coloring is a concept that involves assigning colors ... Read More
Introduction In the world of programming, arrays play a fundamental role and are extensively used in various applications. Often, while working with large arrays, we come across situations where we need to determine to which array each element in each set of queries belongs. In this article, we will explore an efficient approach using C++ to find the corresponding array for each query along with the count of elements. The task at hand is to identify which array each query element belongs to and generate a count for those specific arrays. Find the array to which each element in given ... Read More
Introduction In the area of programming and data structures, binary trees are widely used to store and retrieve data efficiently. In this article, we will explore the concept of constructing a prime binary tree from a given non-cyclic graph consisting of N indices using C++ code. The Binary tree can be constructed from the non-cyclic graph and the types of this graph are tree, directed acyclic graph and some more. A prime tree comes under the division of binary tree which returns the prime number by appending the two consecutive edges of the graph. Construct a Prime Binary Tree from ... Read More