Consider the followed randomized algorithm, which prints out some number of smiley faces (:)) and some number of asterisks ($$) : def randomizedSmiles (A): n = len(A) if n ≤ 1: print ":)" return for i in {0,...,n-1}: print "" Choose a uniformly random integer p in {1, \ldots, n-1} randomizedSmiles(A[:p]) randomizedSmiles (A[p:]) For the following parts, choose the tightest big-Oh bound that applies. Based on the above data, answer the given subquestions. Figure from the original question paper

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Advanced Algorithms · End Term · 3 Sept 2023 · May 2023 term · Set QPE1-S1

Question 27: Consider the followed randomized algorithm, which prints…

Question 27

+3 marksOne correct option

Consider the followed randomized algorithm, which prints out some number of smiley faces (:)) and some number of asterisks ( $*$ ) :

python

1def randomizedSmiles (A):
2        n = len(A)
3        if n ≤ 1:
4                print ":)"
5                return
6        for i in {0,...,n-1}:
7                print "*"
8        Choose a uniformly random integer p in {1, \ldots, n-1}
9        randomizedSmiles(A[:p])
10        randomizedSmiles (A[p:])

For the following parts, choose the tightest big-Oh bound that applies.

Based on the above data, answer the given subquestions.

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Question 27 of 34 in the IIT Madras BS Advanced Algorithms (Advanced Algorithms) End Term paper sat on 3 Sept 2023, in the May 2023 term (IIT M DEGREE ET1 EXAM QPE1 S2 03 Sep). It carries 3 marks.

Question 27: Consider the followed randomized algorithm, which prints…

Question 27

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