Constraint

Given two integers X and Y, the task is to find the number of different arrays that can be constructed of size largest possible size that follow the conditions below:Every element of the array should not be less than X and should not be greater than Y.Every element should occur at most once in the array.Let Ai and Aj be two elements of the array where i is not equal to j, Then Ai should divide Aj or Aj should divide Ai.Note: Two arrays will be considered different if at least one element is present in the first array but…

The picture depicts the cyclic inversion process of GONGGA inversion system. In each inversion cycle, CO2 inversion and flux inversion are performed successively. Credit: ©Science China Press Scientists from the Institute of Tibetan Plateau Research, Chinese Academy of Sciences developed an atmospheric inversion system GONGGA (Global ObservatioN-based system for monitoring Greenhouse GAes) to infer CO2 sources and sinks from…

Ford CEO Jim Farley emphasized the necessity of building out a supply chain in the US for critical battery minerals, calling it the constraint to accelerating EV production. Meanwhile, the American automaker continues manufacturing massive batteries, upwards of 140 kWh, for its full-size electric truck, the F-150 Lightning. Imagine how many EVs could be produced by making smaller, more efficient models. Perhaps like an electric Maverick? Ford CEO claims battery supply is reason for constraints…

Graph coloring problem interpretation, painted by Dall-E 2.The core of a constraint programming solver and the relationship with mixed integer programmingThere are many different ways to define and solve optimization problems. You can e.g. use greedy algorithms, constraint programming, mixed integer programming, genetic algorithms or local search. In this post, we are diving in to constraint programming. As example, the graph coloring problem is used to illustrate how constraint programming works.If you need an…

Credit: Unsplash/CC0 Public Domain Projections of future extreme precipitation change can be made more reliable by using a constraint from observed present-day precipitation variability, which reduces the uncertainties in projections by 20-40% over the mid-to-high latitudes, according to a joint study by the Institute of Atmospheric Physics (IAP) of the Chinese Academy of Sciences (CAS) and the Met Office, the UK's national…

Sony has reduced its PlayStation 5 production outlook for this fiscal year due to component and logistics constraints, according to people familiar with its operations.The Tokyo-based entertainment giant had previously targeted more than 16 million units assembled in the year ending March, setting it up to achieve its sales goal for the period and also get a head start on the subsequent year's production. The company has now cut that number down to about 15 million, making its aim of 14.8 million PS5 sales by March…