Question: 6 . Consider the following code. 1 def f ( x ) : 2 ' ' ' Pre: x is a natural number ' '

6. Consider the following code. 1 def f(x): 2''' Pre: x is a natural number '''3 a = x 4 y =105 while a >0: 6 a -= y 7 y -=18 return a * y (a) Give a loop invariant that characterizes the values of a and y.(b) Show that sometimes this code fails to terminate.

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