The sum of two numbers

Input

Three integers $a$, $b$, $c$ (0 < a, b, c < 10^9).

Output

If such a rearrangement exists, print YES. Otherwise, print NO. If the answer is YES, on the second line print $x$ and $y$: the numbers obtained by rearranging the digits of $a$ and $b$ respectively, such that x + y = c. The numbers $x$ and $y$ must not contain leading zeros. Separate $x$ and $y$ with a space. If there are multiple solutions, print any.

Examples