Consider the following code snippet that defines a function that works on a set A: myFunction(A): if |A| < 1: print(*) else: (A1, A2) = split(A) myFunction(A1) myFunction(A2) end if %3D

Computer Networking: A Top-Down Approach (7th Edition)
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Question 5
Consider the following code snippet that defines a function that works on a set A:
myFunction(A):
if |A| < 1:
print(*")
else:
(A1, A2) = split(A)
myFunction(A1)
myFunction(A2)
end if
Here split(X) is a program that runs in O(|X|) time and partitions the set X into two
non-empty sets X, and X2.
Give, with justification, asymptotic upper bounds, in terms of n = |A|, for the run-
ning time of myFunction(A) when:
(a) split(X) always partitions X into equal sized sets."
(b) split(X) can partition X into non-empty sets of any size.
(c) split(X) always partitions X into non-empty sets of size at least .
Transcribed Image Text:Question 5 Consider the following code snippet that defines a function that works on a set A: myFunction(A): if |A| < 1: print(*") else: (A1, A2) = split(A) myFunction(A1) myFunction(A2) end if Here split(X) is a program that runs in O(|X|) time and partitions the set X into two non-empty sets X, and X2. Give, with justification, asymptotic upper bounds, in terms of n = |A|, for the run- ning time of myFunction(A) when: (a) split(X) always partitions X into equal sized sets." (b) split(X) can partition X into non-empty sets of any size. (c) split(X) always partitions X into non-empty sets of size at least .
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