Program to Implement Binary Search using Recursion PHP

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Binary Search is a searching algorithm that finds the value in a sorted array in O(logN) time complexity. In my previous post i discuss how to implement binary search using iterative method. In this post i’ll explain how to implement binary search using recursion.

What is Recursion

Recursion is programming technique in which function call itself and terminates when base condition is met. Check complete Recursion Explanation.

Binary Algorithm For Recursion :

BinarySearch (int arr[], int num, int first, int last)
{
 
  if (first > last)
 
       print value not found;
 
  else
    {
      /* Calculate mid element */
 
      int mid = (first + last) / 2 ;
 
      if(arr[mid]==num){
 
         print number_is_found;
 
       } if (arr[mid] > num){
 
        /* key is in lower subset of array */
 
         BinarySearch (arr, num, first, mid-1);
 
       } else if (arr[mid] < num) {
 
         /* Key is in higher subset */
 
        BinarySearch (arr, num, mid +1 , last);
    }
}

Program to Implement Binary Search using Recursion

#include <stdio.h>
#include <stdlib.h>
void BinarySearch(int arr[],int num,int first,int last){
if(first > last){
printf("Number is not found");
} else {
int mid;
mid = (first + last)/2;
if(arr[mid]==num){
printf("Element is found at index %d ",mid);
exit(0);
}else if(arr[mid]>num){
BinarySearch(arr,num,first, mid-1);
}else{
BinarySearch(arr,num, mid+1, last);
}
}
}
main()
{
int arr[] = {2,5,7,9,12,15,18};
int num = 9;
int first =0 , last = (sizeof(arr)/sizeof(arr[0]))-1;
BinarySearch(arr,num,first,last);
}

 

Program to Implement Binary Search using Recursion PHP

Program to Implement Binary Search using Recursion PHP Posted on 05-10-2016  Binary Search is a searching algorithm that finds the value in a sorted array in O(logN) time complexity. In my previous post i discuss how to implement binary search using iterative method. In this post i’ll explain how to implement binary search using recursion. 9/10 346

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