by the tables Let S= {0,.., 20). The function f : SS given x 0 1 2 f(x) 1 2 3 34 1.0 5 5 0 X 11 12 13 14 15 f(x) 12 6 14 15 16 6 7 8 9 10 9 10 11 78 16 17 18 19 20 17 18 19 20 13 is bijective. It follows that all of its "powers" f", where n is a positive integer and f" means the n-fold composition fofo... of, are also bijec- 72 tive functions S S. Write a Python program that finds the number of distinct f". Show your code and the program output.