How do I Write an algorithm to determine whether a given element x belongs to a given set, which is represented as the array

I want solution with steps

Below is the recursive implementation of binary search from lab with one change (in red): the print statement at the top of the function which prints "BOO" There is also a main function which calls bsearchR on the sorted array data[] with 7 elements and searching for 10. QUESTION: How many BOOS will be printed by this program? // Recursive Binary Search Routine that does the "Real" Work int bsearchR(int a[], int lo, int hi, int x) { int m; printf("BO0\n"); // <<<<==== NEW STATEMENT if(hi < lo) return -1; m = (lo + hi) / 2; if(a[m] == x) return m; else if(x < a[m]) return bsearchR(a, lo, m-1, x); else return bsearchR(a, m+1, hi, x); } int main() { int data[] = {5, 8, 12, 15, 20, 25, 30}; int idx = bsearchR(data, e, 6, 10); return 0; }