Python Big-O Coding will give high rating if answers are correct
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1f2c132-1439-42c7-b4cb-11c574c8a62f%2F72a5f47b-ca83-464d-b55b-8d4b3d578eae%2Fvv8w9uj_processed.png&w=3840&q=75)
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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