added programming exercise

gsd-questions.tex

@@ -39,6 +39,52 @@
 %\def\loesung{}
 
 \section{Programming}
+\subsection{Row Vectors}
+Consider an $n\times m$ matrix. Calculate the absolute value for each row vector of the matrix in a programming language of your choice. Example:
+$$
+\left(\begin{array}{cc}
+  2 & 2 \\ 4 & 4 \\ 6 & 5
+\end{array}\right)
+\qquad \Rightarrow \qquad\texttt{calcAbsRowVector}\qquad \Rightarrow \qquad
+\left(\begin{array}{c}
+  2.82 \\ 5.65 \\ 7.81
+\end{array}\right)
+$$
+\ifdefined\loesung
+\begin{verbatim}
+Musterloesung here
+\end{verbatim}
+\fi
+
+\subsection{Merging and Sorting}
+Let $A$ and $B$ be two arrays of $n$ (unsorted) integer entries each. Write
+a function that merges both arrays into a \emph{sorted} array of $2\dot n$
+entries. Example:
+$$
+\begin{array}{lcl}
+  A & = & [2, 7, 5, 34]\\
+  B & = & [3, 48, 4, 72]\\
+  \hline
+  C & = & [2, 3, 4, 5, 7, 34, 48, 72]\\
+\end{array}
+$$
+
+\ifdefined\loesung
+\begin{verbatim}
+Musterloesung here
+\end{verbatim}
+\fi
+
+\subsection{Recursion}
+
+Consider a herd of cows. Write a \emph{recursive} function to calculate the
+sum of all legs. Use addition only (no multiplication allowed).
+
+\ifdefined\loesung
+\begin{verbatim}
+Musterloesung here
+\end{verbatim}
+\fi
 
 \section{Algorithms and Data Structures}