Once Alice, Bob and Vasya got 2 numbers $A$ and $B$. But it was a long time ago. At present, Alice remembers only the value $a|b$, while Bob remembers the value $a\bigoplus b$ and Vasya remembers the value $a\&b$.

You need to help them determine the values of $A$ and $B$. If there are multiple answers print any one of them. If there are no valid $A, B$  then print $-1$.

Note

• $|$ is bitwise $OR$
• $\&$ is bitwise $AND$
• $\bigoplus$ is bitwise $XOR$

Input Format

• The only line of input contains $3$ integers representing the value of $A|B$, $A\bigoplus B$ and $A\&B$ respectively.

Output Format

• If there exist any valid $A, B$, then print $2$ integers $A$ and $B$, otherwise print $-1$.

Constraints

• All values in input $\in [0,2^{60})$