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 x = pow(a, floor (n/2)) if n is even: x*x if n is odd: a*x*x
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 x = pow(a, floor (n/2)) if n is even: x*x if n is odd: a*x*x
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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
x = pow(a, floor (n/2))
if n is even: x*x
if n is odd: a*x*x
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