You are given non-negative integers $a$, $b$, and $C$. Determine if there is a pair of non-negative integers $(X, Y)$ that satisfies all of the following five conditions. If such a pair exists, print one.

-   $0 \leq X < 2^{60}$
-   $0 \leq Y < 2^{60}$
-   $\operatorname{popcount}(X) = a$
-   $\operatorname{popcount}(Y) = b$
-   $X \oplus Y = C$

Here, $\oplus$ denotes the bitwise XOR.

If multiple pairs $(X, Y)$ satisfy the conditions, you may print any of them.

What is popcount?

For a non-negative integer $x$, the popcount of $x$ is the number of $1$s in the binary representation of $x$. More precisely, for a non-negative integer $x$ such that $\displaystyle x=\sum _ {i=0} ^ \infty b _ i2 ^ i\ (b _ i\in\lbrace0,1\rbrace)$, we have $\displaystyle\operatorname{popcount}(x)=\sum _ {i=0} ^ \infty b _ i$.

For example, $13$ in binary is `1101`, so $\operatorname{popcount}(13)=3$.What is bitwise XOR?

For non-negative integers $x, y$, the bitwise exclusive OR $x \oplus y$ is defined as follows.

-   The $2^k$'s place  $\ (k\geq0)$ in the binary representation of $x \oplus y$ is $1$ if exactly one of the $2^k$'s places  $\ (k\geq0)$ in the binary representations of $x$ and $y$ is $1$, and $0$ otherwise.

For example, $9$ and $3$ in binary are `1001` and `0011`, respectively, so $9 \oplus 3 = 10$ (in binary, `1010`).

The input is given from Standard Input in the following format:

```
$a$ $b$ $C$
```

If there is a pair of non-negative integers that satisfies the conditions, choose one such pair $(X, Y)$ and print $X$ and $Y$ in this order, with a space in between. If no such pair exists, print `-1`.

-   $0 \leq a \leq 60$
-   $0 \leq b \leq 60$
-   $0 \leq C < 2^{60}$
-   All input values are integers.

28 27

The pair (X,Y)=(28,27) satisfies the conditions. Here, X and Y in binary are 11100 and 11011, respectively.

• X in binary is 11100, so popcount(X)=3.
• Y in binary is 11011, so popcount(Y)=4.
• X⊕Y in binary is 00111, so X⊕Y=7.

If multiple pairs of non-negative integers satisfy the conditions, you may print any of them, so printing 42 45, for example, would also be accepted.

-1

No pair of non-negative integers satisfies the conditions.