4) Analyze the following algorithm to compute xn for a positive integer n. Initialize power to 1...
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4) Analyze the following algorithm to compute xn for a positive integer n.
Initialize power to 1 and sqr to x
Loop
while n > 1
if n is odd
Multiply power by sqr
Halve n
Square sqr
Return power * x
a) Determine its order as a function of n.
b) Prove the algorithm is correct. Give reasons for your steps.
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