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Technical articles with clear explanations and examples

Subset Equality is NP Complete

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 375 Views

Subset Correspondence, otherwise called the "Subset Total" issue, is an exemplary NP-complete computational issue. Given a bunch of numbers and an objective worth, the undertaking is to decide if there exists a subset of the numbers whose total is equivalent to the objective worth. The issue's NP-culmination emerges from its capacity to address an extensive variety of other NP-complete issues through polynomial-time decreases. Regardless of its straightforward definition, no realized effective calculation can tackle "Subset Correspondence" for all occurrences, making it of critical interest in hypothetical software engineering and streamlining, with functional applications in different fields, like cryptography, asset distribution, ...

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Golang program to compute the factorial of a number using concurrency

Akhil Sharma
Akhil Sharma
Updated on 04-Aug-2023 648 Views

In this article, we will write Go language programs to compute the factorial of a number using concurrency. It is a task of implementing multiple operations simultaneously and can be implemented using Go routines and channels. Go routines are the lightweight threads and channels help in non-conflicting communications between the routines. Syntax func make ([] type, size, capacity) The make function in go language is used to create an array/map it accepts the type of variable to be created, its size and capacity as arguments. Algorithm This program imports the necessary packages main and fmt. In this ...

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Sum of all Pair Shortest Paths in a Tree

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 666 Views

The term "sum of all pair shortest paths" in a tree refers to calculating the total of all node pairs' individual shortest paths. An effective way to do this is to use the Double DFS (Depth-First Search) algorithm. Determine the separation between a chosen node and every other node during the first DFS pass. Once more traverse the tree during the second DFS pass, taking into account each node as a potential LCA (Lowest Common Ancestor), and add up the distances between pairs of nodes that are descendants of the chosen LCA. The sum of all pair shortest paths in ...

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Set Partition is NP Complete

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 379 Views

Set Parcel is a NP-complete issue in which the errand is to decide if a given arrangement of positive whole numbers can be separated into two subsets with equivalent totals. NP-culmination suggests that there is no known polynomial-time calculation to tackle it for all occurrences, and confirming a potential arrangement should be possible in polynomial time. Numerous other NP-complete issues can be decreased to Set Segment, exhibiting its computational intricacy and its significance in understanding the more extensive class of NP-complete issues. Because of its intricacy, tackling enormous cases of the Set Segment issue might demand dramatic investment, making it ...

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Queries to Count Connected Components after Removal of a Vertex from a Tree

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 462 Views

The following queries can be used to determine how many connected components remain after a tree vertex is removed: Start by taking the tree structure into account. Then, by moving through the tree using breadth- or depth-first search algorithms, examine each connected component. Utilise the same traversal method to decide the number of connected components once the desired vertex has been expelled. The result will be decided by the variation between the counts before and after the expulsion. This method effectively monitors connectivity changes and aids in counting the connected components in the updated tree. Methods Used ...

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Golang program to compute all prime numbers up to a given number using concurrency

Akhil Sharma
Akhil Sharma
Updated on 04-Aug-2023 658 Views

In this Go language article, we will write programs to compute all prime numbers up to a given number using concurrent execution. Concurrent execution is the process of executing multiple tasks simultaneously. In Golang, go routines and channels are used to create concurrent programs. Go routines are lightweight threads which are managed by the Go runtime and channels help in the communication between Go routines without any conflicts. Syntax func make ([] type, size, capacity) The make function in go language is used to create an array/map it accepts the type of variable to be created, its size ...

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Python NetworkX – Tutte Graph

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 481 Views

An effective library for modelling and analysing intricate networks and graphs is Python NetworkX. The term "Tutte Graph" refers to a unique class of graphs that W. T. Tutte found. It entails the use of the library's features to implement and investigate Tutte Graphs in the context of Python NetworkX. Tutte Graphs have special characteristics and can be used to address a variety of graph-theoretical issues. Users can learn more about these graphs' structural properties and applications by examining them with NetworkX, which will help them better comprehend graph theory and its applications. Tutte Graph Every face of ...

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Print Nodes Which are not Part of any Cycle in a Directed Graph

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 372 Views

In a coordinated diagram, recognizing hubs that are not piece of any cycle is critical for different applications. These hubs structure the underpinning of non-cyclic subgraphs and assume a huge part in understanding the general chart structure. By using effective chart crossing calculations, for example, Profundity First Hunt (DFS) or Tarjan's calculation for firmly associated parts, we can without much of a stretch decide and print the hubs that are not engaged with any cycle. These methodologies guarantee that hubs with no cycle cooperation are featured, giving important bits of knowledge into the diagram's non-cyclic parts and supporting different chart ...

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Optimized Longest Path is NP Complete

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 376 Views

The "Upgraded Longest Way" issue is a computationally difficult undertaking, ordered as NP-complete. In this issue, given a diagram with weighted edges, the goal is to find the longest way from a predetermined beginning hub to a closure hub while expanding the amount of edge loads. Because of the remarkable development in possible ways to investigate, no known polynomial-time calculation can tackle this issue productively for all cases. All things considered, scientists resort to surmised calculations and heuristics to track down close ideal arrangements. The trouble of this issue has reasonable ramifications in different fields, like transportation, planned operations, and ...

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Minimum Characters to be Replaced to make a String Concatenation of a K-length Palindromic String

Aayush Shukla
Aayush Shukla
Updated on 04-Aug-2023 338 Views

Tracking down the most modest number of characters that should be changed to transform a given string into a link of K-length palindromic substrings is a common issue in the field of string control. A string that peruses similar advances and in reverse is known as a palindromic string. Examples are "radar" or "level." The fundamental ideas, methods, and potential optimization strategies that can be used to effectively address this issue will all be covered in this article. By the conclusion, readers will be able to handle similar string manipulation issues since they will have a comprehensive understanding of the ...

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