# XOR simplification

Computer Science Level 2

There are three integers $$a$$, $$b$$ and $$c$$. Given that

$\begin{eqnarray} a \oplus b &=& 239 \\ b \oplus c &=& 899\end{eqnarray}$

where $$\oplus$$ is defined to be bitwise XOR on integers.

What additional information is required to recover all three of $$a$$, $$b$$ and $$c$$?

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