Consider the code below, defining the function $A$:
A(m, n, p) {
if (p == 0) return m+n;
else if (n == 0 && p == 1) return 0;
else if (n == 0 && p == 2) return 1;
else if (n == 0) return m;
else return A(m, A(m,n-1,p), p-1);
}
Express $A(m, n, 2)$ as a function of $m$ and $n$.