Question

a) Give a recursive algorithm for finding the max of a finite set of integers, making...

a) Give a recursive algorithm for finding the max of a finite set of integers, making use of the fact that the max of n integers is the larger of the last integer in the list and the max of the first n-1 integers in the list.

Procedure power(x,n):

If (n=0):

return 1

Else:

return power(x,n-1) · x

b) Use induction to prove your algorithm is correct

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