Prove the time complexity of the Binary search algorithm using Masters theorem, identify all the terms in Masters theorem clearly in the proof def binarySearch(arr, I, r, x): if r >= 1: mid=1 + (r - 1) // 2 if arr[mid] == X: return mid elif arr[mid] > x: return binarySearch(arr, I, mid-1, x) else: return binarySearch(arr, mid + 1, r, x) else: return -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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Prove the time complexity of the Binary search algorithm using Masters theorem, identify all
the terms in Masters theorem clearly in the proof
def binarySearch(arr, I, r, x):
if r >= 1:
mid = 1 + (r - 1) // 2
if arr[mid] == X:
return mid
elif arr[mid] >x:
return binarySearch(arr, I, mid-1, x)
else:
return binarySearch(arr, mid + 1, r, x)
else:
return -1
Transcribed Image Text:Prove the time complexity of the Binary search algorithm using Masters theorem, identify all the terms in Masters theorem clearly in the proof def binarySearch(arr, I, r, x): if r >= 1: mid = 1 + (r - 1) // 2 if arr[mid] == X: return mid elif arr[mid] >x: return binarySearch(arr, I, mid-1, x) else: return binarySearch(arr, mid + 1, r, x) else: return -1
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