Question: 3. Following code segment is the JAVA implementation of Binary Search, int binarySearch (int arr[], int 1, int r, int x) ( if (r

3. Following code segment is the JAVA implementation of Binary Search, int binarySearch (int arri), int 1,   

3. Following code segment is the JAVA implementation of Binary Search, int binarySearch (int arr[], int 1, int r, int x) ( if (r >= 1) 10 int mid= 1 + (r - 1)/2; if (arr[mid] x) return mid; if (arr[mid]> x) return binarySearch(arr, 1, mid-1, x); return binarySearch (arr, mid+1, r, x); return -1; } The time complexity of all divide-and-conquer algorithms can be expressed using following recurrence: ifn sc. aT(n/b) + D(n) + C(n) otherwise. T(n) = 9(1) Binary search is a divide-and-conquer algorithm, determine the values of constants a, b, and c, and the orders of growth of C(n) and D(n).

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