4. Consider the function IndexEqual(A,i.j) that returns true if there exists an index x (i sx sj) such that A[x] = x; otherwise, returns false. You may assume A is a sorted integer array in which every element is unique. a. Write an efficient recursive algorithm for IndexEqual(A,i.j). b. What is the situation resulting in the best-case running time of your function, and give an expression for that running time? c. What is the situation resulting in the worst-case running time of your function, and give an expression for that running time in terms of n, where n=j-i+1?

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
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4. Consider the function IndexEqual(A,i.j) that returns true if there exists an index x (i sx sj)
such that A[x] = x; otherwise, retums false. You may assume A is a sorted integer array in
which every element is unique.
a. Write an efficient recursive algorithm for IndexEqual(A,i.j).
b. What is the situation resulting in the best-case running time of your function, and give
an expression for that running time?
c. What is the situation resulting in the worst-case running time of your function, and give
an expression for that running time in terms of n, where n=j-i+1?
Transcribed Image Text:4. Consider the function IndexEqual(A,i.j) that returns true if there exists an index x (i sx sj) such that A[x] = x; otherwise, retums false. You may assume A is a sorted integer array in which every element is unique. a. Write an efficient recursive algorithm for IndexEqual(A,i.j). b. What is the situation resulting in the best-case running time of your function, and give an expression for that running time? c. What is the situation resulting in the worst-case running time of your function, and give an expression for that running time in terms of n, where n=j-i+1?
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