PYTHON Using binary search, how many checks would it take to determine if the number 400 is or is not contained in the list shown below? Make sure provide an explanation of your answer. [100, 150, 175, 225, 235, 245, 300, 400, 1000, 1300]

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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PYTHON

Using binary search, how many checks would it take to determine if the number 400 is or is not contained in the list shown below? Make sure provide an explanation of your answer.

[100, 150, 175, 225, 235, 245, 300, 400, 1000, 1300]
Expert Solution
Step 1

python 

Step 2

def binarySearch(alist, item):
     first = 0
     last = len(alist)-1
     found = False
     check=0
     while first<=last and not found:
         check+=1
         midpoint = (first + last)//2
         if alist[midpoint] == item:
             check+=1
             found = True
         else:
             if item < alist[midpoint]:
                 check+=1
                 last = midpoint-1
             else:
                 first = midpoint+1
 
     return found,check
 
alist = [100, 150, 175, 225, 235, 245, 300, 400, 1000, 1300]
print(binarySearch(alist, 400))

OUTPUT:-

(True, 3)

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