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Solution: K Closest Points to Origin

Understand how to solve the k closest points to the origin problem efficiently by implementing a max-heap approach that keeps track of the closest points as you iterate. Explore how squared distances optimize computations and learn to balance time and space complexity for effective problem solving.

Statement

You are given an array of points where each element points[i] =[xi,yi]= [x_i, y_i] represents a point on the X-Y plane, along with an integer k. Your task is to find and return the k points that are closest to the origin [0,0][0, 0].

The distance between two points on the X-Y plane is measured using Euclidean distance, which is calculated as:

Note: You can return the result in any order. The answer is guaranteed to be unique, except for the order in which points appear.

Constraints:

  • 11 \leq k \leq ...