Part B: Problem 3: a = R and for all n ≥ Z, n ≥ 0. def power (a, n): if (n == 0): return 1 if (n % 2) == 0: #n is even x = power (a, n2) else: return x x # n is odd x The algorithm below calculates a" for any power (a, (n - 1) 2) return a *x*x Answer the following questions: (a) Write an iterative (non-recursive) version of the algorithm above. (b) Use a recursion invariant and strong induction to prove that the algorithm is correct.
Part B: Problem 3: a = R and for all n ≥ Z, n ≥ 0. def power (a, n): if (n == 0): return 1 if (n % 2) == 0: #n is even x = power (a, n2) else: return x x # n is odd x The algorithm below calculates a" for any power (a, (n - 1) 2) return a *x*x Answer the following questions: (a) Write an iterative (non-recursive) version of the algorithm above. (b) Use a recursion invariant and strong induction to prove that the algorithm is correct.
Related questions
Question
I need help with this please
Transcribed Image Text:Part B: Problem 3:
a = R and for all n ≥ Z, n ≥ 0.
def power (a, n):
if (n == 0):
return 1
if (n % 2) == 0:
#n is even
x = power (a, n2)
else:
return x x
# n is odd
x
The algorithm below calculates a" for any
power (a, (n - 1) 2)
return a *x*x
Answer the following questions:
(a) Write an iterative (non-recursive) version of the algorithm above.
(b) Use a recursion invariant and strong induction to prove that the algorithm
is correct.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution