python program

def sod (x): S-0 while x >0: s-s+(x810) return S Exercise 9. Determine what the above program does without a computer, as follows. (a) The values of x, s vary throughout the program. Given that we eval- uate sod (54132), construct a table with the values of x and s, where each row corresponds to the values as the program iterates. (b) Since there is a while, it is not obvious that the program terminates- that is, that the program does not go into an infinite loop. Prove that, for any positive integer input x, the program does eventually terminate. (c) Let xn, Sn be the values of x,s after n iterations of the loop. For example, so -0. Determine what xn and sn are. (Normally, you would prove the claim by induction, but you do not have to do this here (d) Using the previous parts, state what the program does, and prove your clainm (e) What does sod stand for