The following algorithms were given in Week 6 for computing the n power of a positive integer a. Use induction to prove that each of these algorithms is correct. (a) def pow(a, n) end if n=0 then 1 pow(a, n-1)*a (b) def pow(a, n) end if n = 0 then 1 pow(a, floor (n/2)) if n is even: x*x if n is odd: a*x*x

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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th
The following algorithms were given in Week 6 for computing the n" power of a positive
integer a. Use induction to prove that each of these algorithms is correct.
(a)
def pow(a, n)
end
if n=0 then 1
pow(a, n-1) *a
(b)
def pow(a, n)
end
if n=0 then 1
pow(a, floor (n/2))
if n is even: x*x
if n is odd: a*x*x
Transcribed Image Text:th The following algorithms were given in Week 6 for computing the n" power of a positive integer a. Use induction to prove that each of these algorithms is correct. (a) def pow(a, n) end if n=0 then 1 pow(a, n-1) *a (b) def pow(a, n) end if n=0 then 1 pow(a, floor (n/2)) if n is even: x*x if n is odd: a*x*x
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