Abstract: Given a multiset of n positive integers and a target sum S, the subset sum problem is to find a subset such that the sum of its elements is as close as possible to S without exceeding S. We ...

Bio-inspired computational methods have gained popularity recently. These methods mimic the seemingly complex behavior of organisms to tackle difficult and often overwhelming problems. For example, ...

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 ...

ABSTRACT: In the past decade, Internet Of Things (IOT) technology has become one of the fastest-growing and most widely used technologies and is rapidly becoming a basic feature of global civilization ...

A new proof illuminates the hidden patterns that emerge when addition becomes impossible. The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward ...

A new wave of “reasoning” systems from companies like OpenAI is producing incorrect information more often. Even the companies don’t know why. Credit...Erik Carter Supported by By Cade Metz and Karen ...

Take the number of elements n and the list of n integers as input, followed by the target sum x. Use combinations from the itertools library to generate all possible subsets of the list. For each ...

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 ...