## Problem of the Day #61: Evaluation of a certain two-variable polynomial
*May 19, 2011*

*Posted by Mitchell in : potd , trackback*

The polynomial $P(x, y)$ satisfies the equality \[P(x, y) = \begin{cases} 1 & x=y \\0 & \text{else} \end{cases}\] for $x, y \in \{0, 1, 2, \cdots, 60\}$. Additionally, the degree of $P$ in $x$ and the degree of $P$ in $y$ are both at most $60$. Find $P(61, 61)$.

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