Please show and explain so I can understand. You, Alice and Bob are working on recursive search algorithms and have been studying avariant of binary search called trinary search. Alice has created the following pseudocodefor this algorithm:TSearch (A[a...b], t)If a b return -1Let p1= a + Floor ((b-a)/3)If A [p1] = t return plIf A[p1] > t return TSearch (A[a...p1-1],t)Let p2= a + Ceiling (2(b - a)/3)If A[p2]t return p2If A[p2] > t return TSearch (A [p1+1...p2-1],t)Return TSearch (A [p2+1...b],t)EndTSearch b) Bob has heard that trinary search is no more efficient than binary search whenconsidering asymptotic growth. Help prove him correct by using induction to showthat your recurrence relation is in (log₂ n) as well.i. Split the tight bound into and upper (big-O) and lower (big-N).ii. For each bound select a function from e(log₂ n) to use in your proof, likealog₂ n or alog₂ n-b. Remember there are typically multiple ways to provethe theorem using different choices of functions.iii. Use induction to prove your bound. Include all parts of the proof includingbase case, inductive hypothesis and inductive case. Be as precise as possiblewith your language and your math. Remember it's possible to get stuck at thispoint if you have selected the wrong function in the last step.

Sol:-- Bob has heard that tinary search is no more efficiant than binary search. Bound select a…

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 pl = 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(ba)/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 pl = 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(ba)/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

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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