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// C program to implement recursive Binary Search // Made changes to original code from: https://www.geeksforgeeks.org/binary-search/ #include <stdio.h> int j = 0; //variable to count number of "probes" int binarySearch(int arr[], int l, int r) { if (r >= l) { int mid = l + (r - l) / 2; if (arr[mid] == 1 && (mid-1)>=0 && arr[mid-1] == 0){ printf("The required min index is %d and the no. of probes is %d\n",mid,j); return 0; } if (arr[mid] == 1 && (mid-1)>=0 && arr[mid-1] == 1){ j = j + 1; return binarySearch(arr, l, mid - 1); } j = j + 1; return binarySearch(arr, mid + 1, r); } printf("Smallest index i not found and the number of probes is %d\n",j); return -1; } int main(void) { int arr[] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 }; int n = sizeof(arr) / sizeof(arr[0]); //Case: No smallest index j = 0; //Initializing no. of probes to 0 binarySearch(arr, 0, n - 1); int arr1[] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 }; n = sizeof(arr1) / sizeof(arr1[0]); //Case: the required min index is 30 j = 0; //Initializing no. of probes to 0 binarySearch(arr1, 0, n - 1); return 0; }

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