Closest pair of points problem

The Closest Pair of Points problem is a classical problem in computational geometry that involves finding the two points in a given set of points in a multidimensional space that are closest to each other, usually measured by Euclidean distance. The problem can be formalized as follows: 1. **Input**: A set of \( n \) points in a two-dimensional space (though the problem can be generalized to higher dimensions).