Consider the following implementation of binarySearch: public static bool binarySearch(int[] a, int item) { int first = 0; int last = a.length - 1; while( first <= last) { int mid = (first + last)/2; if(a[mid] == item) return true; else if (a[mid] < item) first = mid + 1; last = mid - 1; else } return false; } how many times is the line of code int mid = (first + last)/2; executed when it is called with a = {2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37} and item = 2?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 16PE: The implementation of a queue in an array, as given in this chapter, uses the variable count to...
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Consider the following implementation of binarySearch:
public static bool binarySearch(int[] a, int item) {
int first = 0;
int last = a.length - 1;
while( first <= last) {
int mid = (first + last)/2;
if(a[mid]
item) return true;
else if (a[mid] < item) first = mid + 1;
else
last = mid - 1;
}
return false;
==
}
how many times is the line of code int mid = (first + last)/2; executed when it is
called with a = {2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37} and item = 2?
Transcribed Image Text:Consider the following implementation of binarySearch: public static bool binarySearch(int[] a, int item) { int first = 0; int last = a.length - 1; while( first <= last) { int mid = (first + last)/2; if(a[mid] item) return true; else if (a[mid] < item) first = mid + 1; else last = mid - 1; } return false; == } how many times is the line of code int mid = (first + last)/2; executed when it is called with a = {2, 3, 5, 7, 11, 13,17, 19, 23, 29, 31, 37} and item = 2?
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