\begin{frame}
    \frametitle{\problemtitle}
    \begin{block}{Problem}
    	Given $n$ bands and $m$ fans and connections between them, select some of them such that:
    	\begin{itemize}
    		\item each band is connected to at least $c$ fans
    		\item each fan is connected to at least halve of the bands he was initially connected to
    	\end{itemize}
    \end{block}
    \pause
    \begin{block}{Solution}
    	\begin{itemize}
    		\item initially consider all bands and fans
    		\pause
    		\item if a band has less than $c$ fans left you must discard it
    		\item if a fan has less than halve of its bands remaining you must discard him
    		\pause
    		\item if nothing must be discarded the remaining bands and fans are a valid solution
    		\pause
    		\item[] \textcolor{gray}{(this is actually the largest possible solution)}
    	\end{itemize}
    \end{block}
\end{frame}
