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\begin{center}
{\Large Puzzle 4}
\end{center}

\bigskip

There is a 5x5 board as the picture below shows. So happens, on each one of
the fields there is a ladybug sitting. Suddenly, each decides to move to a
neighboring field. \ (Two fields are neighbors if they have an edge in
common.) Is it possible that after each have moved there is again exactly
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\bigskip

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