n number of (x, y) points, I want to find out which is closest (linear distance) to the point of origin (1, 1). Both x and y will always be positive integers.
Due to the magnitude of numbers I am dealing with, multiplication, division, square roots are out of the question. Due to this, Pythagorean theorem is out.
Adding, subtracting or comparing x and y will work but I'm not sure how to achieve this.
I do not want to calculate the actual distance using Pythagorean theorem. I just want to find out which of the points are closest to the origin. Is there a way to determine this with the restrictions above?