(20) 1.3.9: Design an algorithm for the following problem: "Given a set of n points in the Cartesian plane, determine whether all of them lie on the same circumference." - " "lie on the same circumference" means "there a exists a circle that contains all the points" - you don't have to worry about rounding errors with floating points numbers, i.e. you may assume that there is no error to point locations from using a fixed number of bits to represent them (or from measurement error). - You should in a comment for pseudocode, explain briefly your approach. - (Side note: some of you will have had a geometry teacher tell you a fact that makes this relatively easy. Try to develop an understanding for why the fact is true to write the (pseudo)code.)