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You, Alice and Bob are working on recursive search algorithms and have been studying a variant of binary search called trinary search. Alice has created the following pseudocode for this algorithm: TSearch (A [a...b], t) If a b return -1 Let p1 = a + Floor ((b - a)/3) If A[p1] = t return p1 If A[p1] > t return TSearch (A[a...p1-1], t) Let p2= a + Ceiling (2(b a)/3) If A[p2]t return p2 If A[p2]> t return TSearch (A [p1+1...p2-1],t) Return TSearch (A [p2+1...b],t) EndTSearch

You, Alice and Bob are working on recursive search algorithms and have been studying a variant of binary search called trinary search. Alice has created the following pseudocode for this algorithm: TSearch (A [a...b], t) If a b return -1 Let p1 = a + Floor ((b - a)/3) If A[p1] = t return p1 If A[p1] > t return TSearch (A[a...p1-1], t) Let p2= a + Ceiling (2(b a)/3) If A[p2]t return p2 If A[p2]> t return TSearch (A [p1+1...p2-1],t) Return TSearch (A [p2+1...b],t) EndTSearch

Computer Networking: A Top-Down Approach (7th Edition)
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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You, Alice and Bob are working on recursive search algorithms and have been studying a variant of binary search called trinary search. Alice has created the following pseudocode for this algorithm: TSearch (A[a...b], t) If a b return -1 Let p1= a + Floor ((b-a)/3) If A[p1] t return pl If A[p1]> t return TSearch (A [a...p1-1],t) Let p2= a + Ceiling (2(b a)/3) If A [p2] t return p2 = If A [p2] > t return TSearch (A [p1+1...p2-1],t) Return TSearch (A [p2+1...b],t) EndTSearch JL 17
Transcribed Image Text:You, Alice and Bob are working on recursive search algorithms and have been studying a variant of binary search called trinary search. Alice has created the following pseudocode for this algorithm: TSearch (A[a...b], t) If a b return -1 Let p1= a + Floor ((b-a)/3) If A[p1] t return pl If A[p1]> t return TSearch (A [a...p1-1],t) Let p2= a + Ceiling (2(b a)/3) If A [p2] t return p2 = If A [p2] > t return TSearch (A [p1+1...p2-1],t) Return TSearch (A [p2+1...b],t) EndTSearch JL 17
a) State a recurrence relation that expresses the number of operations carried out by this recursive algorithm when called on an input array of size n.
Transcribed Image Text:a) State a recurrence relation that expresses the number of operations carried out by this recursive algorithm when called on an input array of size n.
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