Given a sorted array of integers, write a function that checks whether an integer, target, exists in the array. If it exists, return true, otherwise false. ```cpp // IMPLEMENT HERE int binary_search(int target, int *elems, int n) { if (n == 0) return 0; int mid = n / 2; if (elems[mid] == target) return 1; else if (elems[mid] > target) binary_search(target, & elems[0], n / 2); else binary_search(target, & elems[mid + 1], n / 2 - 1); } ```