"Through extensive experimentation across diverse puzzles, we show that frontier LRMs face a complete accuracy collapse beyond certain complexities," the researchers wrote in the study. "Moreover, ...

A high-performance C# implementation of the classic NP-complete Subset Sum problem. Built as a research-driven exploration of computational complexity, this project applies advanced algorithmic ...

Thousands of notoriously difficult problems in computer science are actually the same problem in disguise If you're enjoying this article, consider supporting our award-winning journalism by ...

Traditional computers struggle with NP-complete problems, which grow exponentially in complexity. According to a study published in Advanced Photonics, a group of researchers from Shanghai Jiao Tong ...

Light propagates in a three-dimensional photonic circuit to solve the subset sum problem. The image of the reconfigurable photonic processor is based on the research presented. As technology advances, ...

ABSTRACT: Grover’s algorithm is a category of quantum algorithms that can be applied to many problems through the exploitation of quantum parallelism. The Amplitude Amplification in Grover’s algorithm ...

Abstract: Many applications in automated auditing and the analysis and consistency check of financial documents can be formulated in part as the subset sum problem: Given a set of numbers and a target ...

Solving the popular NP problem, The Subset Sum Problem, with an Amortized O(n) algorithm based on Recursive Backtracking. The Algorithm stood second fastest in the organized Intra-University ...

Research Institute for ESMD Method and Its Applications, College of Science, Qingdao University of Technology, Qingdao, China. The travelling salesman problem asks the following question: “Given a ...