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\begin{enumerate} \item Construct a Reduced Ordered Binary Decision Diagram (ROBDD) for the formula
$$f= (a \lor b \lor c) \land \lnot d$$
using \textit{variable order} $a < b < c < d$. Use complemented edges and a node for \texttt{true} as the only constant node. To simplify drawing, you may assume that \textit{dangling edges} point to the constant node. Write down all cofactors that you compute to obtain the final result and mark them in the graph.
\item Construct a Reduced Ordered Binary Decision Diagram (ROBDD) for $f$ with a different variable order. The ROBDD should result in a \textit{smaller} ROBDD, w.r.t. the number of nodes. \end{enumerate}
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