A and B are binary numbers. They have been inputted as strings.

function add(A, B):
    while B is greater than 0:
        U = A XOR B
        V = A AND B
        A = U
        B = V * 2
    return A

The above is an algorithm to add two non-negative integers A and B.n 

Given the initial values of A and B write an efficient C++ program to find out the number of times the while loop of the algorithm is repeated.