Python Big-O Coding will give high rating if answers are correct

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Python

Big-O Coding

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Big-O Coding Exercise:
Given:
Consider the function below written in Python3:
def foo(a, b=[1]):
if a <= 1:
return b
b_new = [b[i] + b[i+1] for i in range(len(b)-1)]
return foo(a-1, [1] + b_new + [1])
Question:
What is the worst-case auxiliary space complexity of foo(a, b) assuming initial b = [1]?
(Follow/use the same notes above)
Answer:
Notes when answering:
Note that when complexities or expressions are asked:
• Answer without the big-O.
• Assume a, x, and y are very large.
• Use 'log()' to add the logarithmic function (e.g. n log(n) is written as n* log(n )).
• Use ^(e)' to create exponents (e.g. 2" is written as 2^(n )).
• Use 'sqrt()' to create square roots (e.g. Vn is written as sqrt(n )).
• Remember that log, a =
log a/ log b.
Transcribed Image Text:Big-O Coding Exercise: Given: Consider the function below written in Python3: def foo(a, b=[1]): if a <= 1: return b b_new = [b[i] + b[i+1] for i in range(len(b)-1)] return foo(a-1, [1] + b_new + [1]) Question: What is the worst-case auxiliary space complexity of foo(a, b) assuming initial b = [1]? (Follow/use the same notes above) Answer: Notes when answering: Note that when complexities or expressions are asked: • Answer without the big-O. • Assume a, x, and y are very large. • Use 'log()' to add the logarithmic function (e.g. n log(n) is written as n* log(n )). • Use ^(e)' to create exponents (e.g. 2" is written as 2^(n )). • Use 'sqrt()' to create square roots (e.g. Vn is written as sqrt(n )). • Remember that log, a = log a/ log b.
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