Python is preferred for language.

Exercise 3 (10 pts) Write a program implementing the brute-force algorithm for the convex-hull problem as described on pages 111 and 112 (Section3.3) of your textbook. Begin with the bottom-most point and specify the points in counter-clockwise order. In implementing your program, read in the input as shown (the first line is the number of points n, and the remaining n lines contain the x and y coordinates of point i). Assume all coordinates are integers: SAMPLE INPUT: 6 4 17 4 14 7 15 5 13 2 10 57 Your output will consist of a m lines, where m is the number of convex hull points, in the format shown: SAMPLE OUTPUT: (5, 7) (7, 15) (4, 17) (2, 10) Exercise 3 (10 pts) Write a program implementing the brute-force algorithm for the convex-hull problem as described on pages 111 and 112 (Section3.3) of your textbook. Begin with the bottom-most point and specify the points in counter-clockwise order. In implementing your program, read in the input as shown (the first line is the number of points n, and the remaining n lines contain the x and y coordinates of point i). Assume all coordinates are integers: SAMPLE INPUT: 6 4 17 4 14 7 15 5 13 2 10 57 Your output will consist of a m lines, where m is the number of convex hull points, in the format shown: SAMPLE OUTPUT: (5, 7) (7, 15) (4, 17) (2, 10)