Question 2: Recurrences (a) Below is the pseudo-code for two algorithms: Practice1(A,s,f) and Practice2(A,s,f), which take as nput a sorted array A, indexed from s to f. The algorithms make a call to Bsearch(A,s,f,k) which we saw in class. Determine the worst-case runtime recurrence for each algorithm: T1(n) and T2(n). Show that T;(n) is O((log n)²) and T2(n) is O(n log n). Practicel (A,s,f) if s < f ql = [(s+ f)/2] if BSearch(A,s,q1,1) = true Practice2(A,s,f) if s < f if BSearch(A,s+1,f,1) = true return true return true else else return Practice2(A, s, f-1) return Practicel(A, ql+1, f) else else return false return false

Question 2: Recurrences (a) Below is the pseudo-code for two algorithms: Practice1(A,s,f) and Practice2(A,s,f), which take as nput a sorted array A, indexed from s to f. The algorithms make a call to Bsearch(A,s,f,k) which we saw in class. Determine the worst-case runtime recurrence for each algorithm: T1(n) and T2(n). Show that T;(n) is O((log n)²) and T2(n) is O(n log n). Practicel (A,s,f) if s < f ql = [(s+ f)/2] if BSearch(A,s,q1,1) = true Practice2(A,s,f) if s < f if BSearch(A,s+1,f,1) = true return true return true else else return Practice2(A, s, f-1) return Practicel(A, ql+1, f) else else return false return false

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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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

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