Make Polygon

Mr. Picasso is a geometry expert. Recently he invented a method of drawing polygon. He starts with a point and draw a line seg- ment from the end point of the previous line segment in such a way so that except adjacent segments no two segments intersect. He finishes drawing when he returns to the starting point. Such a polygon is shown in the following figure. In this problem you have to find the minimum and maximum angle of Picasso’s polygon. Input Each input starts with an integer, N (3 ≤ N ≤ 20). In the following N lines there are two integers indicating the Cartesian coordinate of the end points of line segments drawn by Picasso. The absolute value of each co-ordinate will not cross 1000. Input is terminated when N is less than 3. Output For each line of input print the value of minimum and maximum angles of Picasso’s Polygon in degree. Use 6 digits precision. Sample Input 3 00 10 0 0 10 4 00 10 0 10 10 0 10 0 Sample Output 45.000000 90.000000 90.000000 90.000000