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\section{Crosses (Bonus Problem)}
\section{Crosses}
You are given an $n \times n$ grid. Some of its squares are white, and some are gray. Your goal is to place $n$ crosses on white cells so that each row and each column contains exactly one cross.
You are given an $n \times n$ grid. Some of its squares are white, some are gray. Your goal is to place $n$ crosses on white cells so that each row and each column contains exactly one cross.
\vspace{2ex}