Artificial intelligence (AI) is the new arms race and the centerpiece of defense modernization efforts across multiple countries, including the United States. Yet, despite the surge in AI investments, ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

Drop in at a library, and you’ll likely notice that most shelves aren’t full—librarians leave some empty space on each shelf. That way, when they get new books, they can slot them into place without ...

John Peterson does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

AlphaEvolve uses large language models to find new algorithms that outperform the best human-made solutions for data center management, chip design, and more. Google DeepMind has once again used large ...

Abstract: 0-1 knapsack problem is a typical NP complex issues in field of computer. Traditional solve knapsack problem is recursively backtracking and greedy methods. Use recursive backtracking to ...

The original version of this story appeared in Quanta Magazine. Computer scientists often deal with abstract problems that are hard to comprehend, but an exciting new algorithm matters to anyone who ...

You may have noticed that Smokey Bear has changed his tagline. In fact, it’s been different for years now, but with current news stories, it catches the ear differently. Many of us grew up with Smokey ...

the id of the item, the profit of the item and the weight of the item. The last line contains an integer describing the knapsack capacity, c. This describes a problem instance in which there are n=3 ...