What's the best case, worst case, and average-case runtime of pow? Assume n = power. Please remember to define n, provide a tight upper bound. lgorithm pow Input: positive integer b, non-negative integer p Output: computing bŵp (i.e. b raised to power of p) if p = 0 return 1 else if p = 1 return b else if p is even temp pow(b, p / 2) return temp* temp else return bb pow(b, p-2)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Q2 Exponentiation
(Fast?)
What's the best case, worst case, and average-case runtime of pow? Assume n =
power. Please remember to define n, provide a tight upper bound.
algorithm pow
Input: positive integer b, non-negative integer p
Output: computing bp (i.e. b raised to power of p)
if p = 0
return 1
else if p = 1
return b
else if p is even
temp = pow(b, p / 2)
return temp
temp
*
else
return b * b* pow(b, p-2)
Transcribed Image Text:Q2 Exponentiation (Fast?) What's the best case, worst case, and average-case runtime of pow? Assume n = power. Please remember to define n, provide a tight upper bound. algorithm pow Input: positive integer b, non-negative integer p Output: computing bp (i.e. b raised to power of p) if p = 0 return 1 else if p = 1 return b else if p is even temp = pow(b, p / 2) return temp temp * else return b * b* pow(b, p-2)
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