Consider the following implementation of the recursive binary searchalgorithm that passes arrays in its recursive calls. Give a recurrence for the worst-case running time of the above binary search implementation.Solve the recurrence to derive a tight bound on the running time of the above algorithm.
Consider the following implementation of the recursive binary searchalgorithm that passes arrays in its recursive calls. Give a recurrence for the worst-case running time of the above binary search implementation.Solve the recurrence to derive a tight bound on the running time of the above algorithm.
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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Consider the following implementation of the recursive binary searchalgorithm that passes arrays in its recursive calls.
Give a recurrence for the worst-case running time of the above binary search implementation.Solve the recurrence to derive a tight bound on the running time of the above
![BINARYSEARCH(A, n, x):
if n = 1
if a = A[1] return Yes
else return No
else
m = [n/2]
if a = A[m] return Yes
if r < A[m]
copy A[1...m] into a new array B[1...m)
BINARYSEARCH(B,m, x)
else
copy A[m + 1...n] into a new array B[1.n – m]
BINARYSEARCH(B,n – m, x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e4bd05f-4aef-4fd9-8644-85e7420659f6%2F4368ed24-dca1-464e-bbce-5c767e04f5bb%2F5rx4yk_processed.png&w=3840&q=75)
Transcribed Image Text:BINARYSEARCH(A, n, x):
if n = 1
if a = A[1] return Yes
else return No
else
m = [n/2]
if a = A[m] return Yes
if r < A[m]
copy A[1...m] into a new array B[1...m)
BINARYSEARCH(B,m, x)
else
copy A[m + 1...n] into a new array B[1.n – m]
BINARYSEARCH(B,n – m, x)
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