Problems
Fun function
Fun function
Find the value of the function
$$
f(x, y) = \begin{cases}
0, x \le 0~or~y \le 0 \\
f(x - 1, y - 2) + f(x - 2, y - 1) + 2, x \le y \\
f(x - 2, y - 2) + 1, x > y
\end{cases}
$$
\InputFile
Two integers $x, y~(0 \le x, y \le 50)$.
\OutputFile
Print the value of the function $f(x, y)$.
Input example #1
2 3
Output example #1
4
Input example #2
34 12
Output example #2
6