From a1b106f7ea01e49db63cc44b88c5269384d8f666 Mon Sep 17 00:00:00 2001
From: Peter Gerwinski <peter.gerwinski@hs-bochum.de>
Date: Wed, 17 Jan 2024 22:28:41 +0100
Subject: [PATCH] Vorbereitung 18.1.2024

---
 20240111/hp-20240111.pdf                      |  Bin 160725 -> 146919 bytes
 20240111/hp-20240111.tex                      |    4 +-
 20240118/aufgabe-1.c                          |   47 +
 20240118/aufgabe-1b-gpt.c                     |   23 +
 20240118/aufgabe-1e-gpt.c                     |   42 +
 20240118/aufgabe-1g-gpt.c                     |   52 +
 20240118/aufgabe-3.c                          |   62 +
 20240118/hello-gtk.png                        |    1 +
 20240118/hp-20240118.pdf                      |  Bin 0 -> 170202 bytes
 20240118/hp-20240118.tex                      | 1133 +++++++++++++++++
 20240118/hp-musterloesung-20240118.pdf        |  Bin 0 -> 89462 bytes
 20240118/hp-musterloesung-20240118.tex        |  578 +++++++++
 20240118/hp-uebung-20240118.pdf               |  Bin 0 -> 45059 bytes
 20240118/hp-uebung-20240118.tex               |  315 +++++
 20240118/loesung-1a.c                         |   69 +
 20240118/loesung-1b.c                         |   97 ++
 20240118/loesung-2c.c                         |   68 +
 20240118/loesung-3b-gpt.c                     |   27 +
 .../logo-hochschule-bochum-cvh-text-v2.pdf    |    1 +
 20240118/logo-hochschule-bochum.pdf           |    1 +
 20240118/pgscript.sty                         |    1 +
 20240118/pgslides.sty                         |    1 +
 README.md                                     |    3 +
 hp-slides-2023ws.pdf                          |  Bin 10007849 -> 10201096 bytes
 hp-slides-2023ws.tex                          |    2 +
 25 files changed, 2525 insertions(+), 2 deletions(-)
 create mode 100644 20240118/aufgabe-1.c
 create mode 100644 20240118/aufgabe-1b-gpt.c
 create mode 100644 20240118/aufgabe-1e-gpt.c
 create mode 100644 20240118/aufgabe-1g-gpt.c
 create mode 100644 20240118/aufgabe-3.c
 create mode 120000 20240118/hello-gtk.png
 create mode 100644 20240118/hp-20240118.pdf
 create mode 100644 20240118/hp-20240118.tex
 create mode 100644 20240118/hp-musterloesung-20240118.pdf
 create mode 100644 20240118/hp-musterloesung-20240118.tex
 create mode 100644 20240118/hp-uebung-20240118.pdf
 create mode 100644 20240118/hp-uebung-20240118.tex
 create mode 100644 20240118/loesung-1a.c
 create mode 100644 20240118/loesung-1b.c
 create mode 100644 20240118/loesung-2c.c
 create mode 100644 20240118/loesung-3b-gpt.c
 create mode 120000 20240118/logo-hochschule-bochum-cvh-text-v2.pdf
 create mode 120000 20240118/logo-hochschule-bochum.pdf
 create mode 120000 20240118/pgscript.sty
 create mode 120000 20240118/pgslides.sty

diff --git a/20240111/hp-20240111.pdf b/20240111/hp-20240111.pdf
index d0fe82a6dfacae31d92e6e94ffc75cb272446cdc..3945cf52b188dc17c26823f3e4044055e28356f1 100644
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diff --git a/20240111/hp-20240111.tex b/20240111/hp-20240111.tex
index e367d27..06d28fb 100644
--- a/20240111/hp-20240111.tex
+++ b/20240111/hp-20240111.tex
@@ -929,6 +929,8 @@
 
 \end{frame}
 
+\iffalse
+
 \begin{frame}
 
   \showsection
@@ -1103,8 +1105,6 @@
 
 \end{frame}
 
-\iffalse
-
 \begin{frame}
 
   \shownosectionnonumber
diff --git a/20240118/aufgabe-1.c b/20240118/aufgabe-1.c
new file mode 100644
index 0000000..f26ce5d
--- /dev/null
+++ b/20240118/aufgabe-1.c
@@ -0,0 +1,47 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+typedef struct node
+{
+  int content;
+  struct node *next;
+} node;
+
+void output_list (node *first)
+{
+  for (node *p = first; p; p = p->next)
+    printf ("%d ", p->content);
+  printf ("\n");
+}
+
+void insert_into_list (node *what, node *where)
+{
+  what->next = where->next;
+  where->next = what;
+}
+
+int main (void)
+{
+  node *element3 = malloc (sizeof (node));
+  node *element7 = malloc (sizeof (node));
+  node *element137 = malloc (sizeof (node));
+
+  element3->content = 3;
+  element7->content = 7;
+  element137->content = 137;
+
+  node *first = element3;
+  element3->next = element7;
+  element7->next = element137;
+  element137->next = NULL;
+
+  output_list (first);
+
+  node *element5 = malloc (sizeof (node));
+  element5->content = 5;
+  insert_into_list (element5, element3);
+
+  output_list (first);
+
+  return 0;
+}
diff --git a/20240118/aufgabe-1b-gpt.c b/20240118/aufgabe-1b-gpt.c
new file mode 100644
index 0000000..3b75051
--- /dev/null
+++ b/20240118/aufgabe-1b-gpt.c
@@ -0,0 +1,23 @@
+#include <stdio.h>
+#include <string.h>
+
+void insert_into_string (char src, char *target, int pos) {
+  // Bestimme die Länge des Strings target
+  int len = strlen(target);
+
+  // Verschiebe alle Zeichen des Strings ab der Stelle pos um eine Stelle nach rechts
+  for (int i = len; i > pos; i--) {
+    target[i] = target[i-1];
+  }
+
+  // Füge das Zeichen src an der Stelle pos ein
+  target[pos] = src;
+}
+
+int main (void)
+{
+  char test[] = "Hochshule Bochum";
+  insert_into_string ('c', test, 5);
+  printf ("%s\n", test);
+  return 0;
+}
diff --git a/20240118/aufgabe-1e-gpt.c b/20240118/aufgabe-1e-gpt.c
new file mode 100644
index 0000000..7e010cb
--- /dev/null
+++ b/20240118/aufgabe-1e-gpt.c
@@ -0,0 +1,42 @@
+#include <stdio.h>
+#include <string.h>
+
+void insert_into_string (char src, char *target, int pos) {
+  // Bestimme die Länge des Strings target
+  int len = strlen(target);
+
+  // Verschiebe alle Zeichen des Strings ab der Stelle pos um eine Stelle nach rechts
+  for (int i = len; i > pos; i--) {
+    target[i] = target[i-1];
+  }
+
+  // Füge das Zeichen src an der Stelle pos ein
+  target[pos] = src;
+}
+
+void insert_into_string_sorted (char src, char *target) {
+  // Bestimme die Länge des Strings target
+  int len = strlen(target);
+
+  // Iteriere über alle Zeichen des Strings target
+  for (int i = 0; i < len; i++) {  // Wenn das aktuelle Zeichen alphabetisch hinter src liegt, füge src an dieser Stelle ein
+    if (target[i] > src) {
+      insert_into_string(src, target, i);
+      return;
+    }
+  }
+
+  // Wenn src das letzte Zeichen im String ist, füge es am Ende des Strings ein
+  insert_into_string(src, target, len);
+}
+
+int main (void)
+{
+  char test[100] = "";
+  insert_into_string_sorted ('c', test);
+  insert_into_string_sorted ('a', test);
+  insert_into_string_sorted ('d', test);
+  insert_into_string_sorted ('b', test);
+  printf ("%s\n", test);
+  return 0;
+}
diff --git a/20240118/aufgabe-1g-gpt.c b/20240118/aufgabe-1g-gpt.c
new file mode 100644
index 0000000..047fa6f
--- /dev/null
+++ b/20240118/aufgabe-1g-gpt.c
@@ -0,0 +1,52 @@
+#include <stdio.h>
+#include <string.h>
+
+void insert_into_string (char src, char *target, int pos) {
+  // Bestimme die Länge des Strings target
+  int len = strlen(target);
+
+  // Verschiebe alle Zeichen des Strings ab der Stelle pos um eine Stelle nach rechts
+  for (int i = len; i > pos; i--) {
+    target[i] = target[i-1];
+  }
+
+  // Füge das Zeichen src an der Stelle pos ein
+  target[pos] = src;
+}
+
+void insert_into_string_sorted (char src, char *target) {
+  // Bestimme die Länge des Strings target
+  int len = strlen(target);
+
+  // Setze die Grenzen für die binäre Suche auf das erste und letzte Zeichen des Strings
+  int left = 0;
+  int right = len - 1;
+
+  // Führe die binäre Suche durch, bis left und right auf dasselbe Zeichen zeigen
+  while (left < right) {  // Bestimme die Mitte des aktuellen Suchbereichs
+    int mid = (left + right) / 2;
+
+    // Wenn src alphabetisch vor dem aktuellen Zeichen liegt, suche im linken Teilbereich weiter
+    if (src < target[mid]) {
+      right = mid;
+    }
+    // Wenn src alphabetisch hinter dem aktuellen Zeichen liegt, suche im rechten Teilbereich weiter
+    else {
+      left = mid + 1;
+    }
+  }
+
+  // Füge src an der Stelle left in den String ein
+  insert_into_string(src, target, left);
+}
+
+int main (void)
+{
+  char test[100] = "";
+  insert_into_string_sorted ('c', test);
+  insert_into_string_sorted ('a', test);
+  insert_into_string_sorted ('d', test);
+  insert_into_string_sorted ('b', test);
+  printf ("%s\n", test);
+  return 0;
+}
diff --git a/20240118/aufgabe-3.c b/20240118/aufgabe-3.c
new file mode 100644
index 0000000..5b0cb23
--- /dev/null
+++ b/20240118/aufgabe-3.c
@@ -0,0 +1,62 @@
+#include <gtk/gtk.h>
+
+#define WIDTH 320
+#define HEIGHT 240
+
+double t = 0.0;
+double dt = 0.2;
+
+int r = 5;
+
+double x = 10;
+double y = 200;
+double vx = 20;
+double vy = -60;
+double g = 9.81;
+
+gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+{
+  GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+
+  gdk_cairo_set_source_rgba (c, &blue);
+  cairo_arc (c, x, y, r, 0, 2 * G_PI);
+  cairo_fill (c);
+
+  return FALSE;
+}
+
+gboolean timer (GtkWidget *widget)
+{
+  t += dt;
+  x += vx * dt;
+  y += vy * dt;
+  vx = vx;
+  vy = 0.5 * g * (t * t);
+  if (y + r >= HEIGHT)
+    vy = -vy * 0.9;
+  if (x + r >= WIDTH)
+    vx = -vx * 0.9;
+  if (x - r <= 0)
+    vx = -vx * 0.9;
+  gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+  g_timeout_add (50, (GSourceFunc) timer, widget);
+  return FALSE;
+}
+
+int main (int argc, char **argv)
+{
+  gtk_init (&argc, &argv);
+
+  GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+  gtk_widget_show (window);
+  gtk_window_set_title (GTK_WINDOW (window), "Hello");
+  g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+  GtkWidget *drawing_area = gtk_drawing_area_new ();
+  gtk_widget_show (drawing_area);
+  gtk_container_add (GTK_CONTAINER (window), drawing_area);
+  gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+  gtk_main ();
+  return 0;
+}
diff --git a/20240118/hello-gtk.png b/20240118/hello-gtk.png
new file mode 120000
index 0000000..cca9920
--- /dev/null
+++ b/20240118/hello-gtk.png
@@ -0,0 +1 @@
+../common/hello-gtk.png
\ No newline at end of file
diff --git a/20240118/hp-20240118.pdf b/20240118/hp-20240118.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..bdbcd644e3c6f971a55f50898f9a92c7b17a030c
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diff --git a/20240118/hp-20240118.tex b/20240118/hp-20240118.tex
new file mode 100644
index 0000000..56f3a9a
--- /dev/null
+++ b/20240118/hp-20240118.tex
@@ -0,0 +1,1133 @@
+% hp-20240118.pdf - Lecture Slides on Low-Level Programming
+% Copyright (C) 2012, 2013, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024  Peter Gerwinski
+%
+% This document is free software: you can redistribute it and/or
+% modify it either under the terms of the Creative Commons
+% Attribution-ShareAlike 3.0 License, or under the terms of the
+% GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option)
+% any later version.
+%
+% This document is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this document.  If not, see <http://www.gnu.org/licenses/>.
+%
+% You should have received a copy of the Creative Commons
+% Attribution-ShareAlike 3.0 Unported License along with this
+% document.  If not, see <http://creativecommons.org/licenses/>.
+
+% README: Datenstrukturen
+
+\documentclass[10pt,t]{beamer}
+
+\usepackage{pgslides}
+\usepackage{tikz}
+\usepackage{rotating}
+
+\newcommand{\redurl}[1]{\href{#1}{\color{red}\nolinkurl{#1}}}
+
+\title{Hardwarenahe Programmierung}
+\author{Prof.\ Dr.\ rer.\ nat.\ Peter Gerwinski}
+\date{18.\ Januar 2024}
+
+\begin{document}
+
+\maketitleframe
+
+\title{Hardwarenahe Programmierung}
+
+\nosectionnonumber{\inserttitle}
+
+\begin{frame}
+
+  \shownosectionnonumber
+
+  \begin{itemize}
+    \item[\textbf{1}] \textbf{Einführung}
+      \hfill\makebox(0,0)[br]{\raisebox{2.25ex}{\url{https://gitlab.cvh-server.de/pgerwinski/hp}}}
+    \item[\textbf{2}] \textbf{Einführung in C}
+    \item[\textbf{3}] \textbf{Bibliotheken}
+    \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+    \item[\textbf{5}] \textbf{Algorithmen}
+    \item[\textbf{6}] \textbf{Objektorientierte Programmierung}
+      \begin{itemize}
+        \color{medgreen}
+        \item[6.0] Dynamische Speicherverwaltung
+        \item[6.1] Konzepte und Ziele
+        \item[6.2] Beispiel: Zahlen und Buchstaben
+        \item[6.3] Unions
+        \item[6.4] Virtuelle Methoden
+        \item[6.5] Beispiel: Graphische Benutzeroberfläche (GUI)
+        \item[6.6] Ausblick: C++
+      \end{itemize}
+    \item[\textbf{7}] \textbf{Datenstrukturen}
+  \end{itemize}
+
+\end{frame}
+
+\setcounter{section}{5}
+\section{Objektorientierte Programmierung}
+
+\addtocounter{subsection}{-1}
+\subsection{Dynamische Speicherverwaltung}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \begin{itemize}
+    \item
+      Array: feste Anzahl von Elementen desselben Typs (z.\,B.\ 3 ganze Zahlen)
+    \item
+      Dynamisches Array: variable Anzahl von Elementen desselben Typs
+  \end{itemize}
+
+  \bigskip
+
+  \begin{lstlisting}
+    char *name[] = { "Anna", "Berthold", "Caesar" };
+
+    ...
+
+     name[3] = "Dieter";
+  \end{lstlisting}
+
+  \begin{picture}(0,0)
+    \color{red}
+    \put(0,0){\line(3,1){3.5}}
+    \put(0,1){\line(3,-1){3.5}}
+  \end{picture}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \bigskip
+
+  \begin{lstlisting}
+    #include <stdlib.h>
+
+    ...
+
+      char **name = malloc (3 * sizeof (char *));
+        /* Speicherplatz für 3 Zeiger anfordern */
+
+    ...
+
+      free (name);
+        /* Speicherplatz freigeben */
+
+  \end{lstlisting}
+
+\end{frame}
+
+\subsection{Konzepte und Ziele}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  \begin{itemize}
+    \item
+%      Array: feste Anzahl von Elementen desselben Typs (z.\,B.\ 3 ganze Zahlen)
+      Array: Elemente desselben Typs (z.\,B.\ 3 ganze Zahlen)
+%    \item
+%      Dynamisches Array: variable Anzahl von Elementen desselben Typs
+    \item
+      Problem: Elemente unterschiedlichen Typs
+    \item
+      Lösung: den Typ des Elements zusätzlich speichern \textarrow\ \newterm{Objekt}
+    \item
+      Problem: Die Elemente sind unterschiedlich groß (Speicherplatz).
+    \item
+      Lösung: Im Array nicht die Objekte selbst speichern, sondern Zeiger darauf.
+  \end{itemize}
+  \begin{itemize}
+    \item
+      Funktionen, die mit dem Objekt arbeiten: \newterm{Methoden}
+    \begin{onlyenv}<1>
+      \item
+        Was die Funktion bewirkt,\\
+        hängt vom Typ des Objekts ab
+      \item
+        Realisierung über endlose \lstinline{if}-Ketten
+    \end{onlyenv}
+    \begin{onlyenv}<2>
+      \item
+        Was die Funktion bewirkt
+        \begin{picture}(0,0)
+          \color{red}
+          \put(-4.00,-0.05){\tikz{\draw[thick](0,0.25)--(3.75,-0.05);%
+                                  \draw[thick](-0.1,-0.05)--(3.75,0.3);}}
+        \end{picture}%
+        Welche Funktion aufgerufen wird,\\
+        hängt vom Typ des Objekts ab: \newterm{virtuelle Methode}
+      \item
+        Realisierung über endlose \lstinline{if}-Ketten%
+        \begin{picture}(0,0)
+          \color{red}
+          \put(-2.75,-0.05){\tikz{\draw[thick](0,0.25)--(2.5,-0.05);%
+                                  \draw[thick](-0.1,-0.05)--(2.5,0.3);}}
+          \put(1.5,-1.1){\begin{rotate}{7}\large\bf\textarrow\
+                           kommt gleich
+%                           nächste Woche
+                         \end{rotate}}
+        \end{picture}
+        Zeiger, die im Objekt gespeichert sind\\
+        (Genaugenommen: Tabelle von Zeigern)
+    \end{onlyenv}
+  \end{itemize}
+
+\end{frame}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  \begin{itemize}
+    \item
+      Problem: Elemente unterschiedlichen Typs
+    \item
+      Lösung: den Typ des Elements zusätzlich speichern \textarrow\ \newterm{Objekt}
+    \item
+      \newterm{Methoden\/} und \newterm{virtuelle Methoden}
+  \end{itemize}
+
+  \begin{itemize}
+    \item
+      Zeiger auf verschiedene Strukturen\\
+      mit einem gemeinsamen Anteil von Datenfeldern\\
+      \textarrow\ "`verwandte"' \newterm{Objekte}, \newterm{Klassenhierarchie} von Objekten
+    \item
+      Struktur, die \emph{nur\/} den gemeinsamen Anteil enthält\\
+      \textarrow\ "`Vorfahr"', \newterm{Basisklasse}, \newterm{Vererbung}
+    \item
+%      Explizite Typumwandlung eines Zeigers auf die Basisklasse\\
+%      in einen Zeiger auf die \newterm{abgeleitete Klasse}\\
+%      \textarrow\ Man kann ein Array unterschiedlicher Objekte\\
+%      \strut\phantom{\textarrow} in einer Schleife abarbeiten.\\
+      Zeiger auf die Basisklasse dürfen auf Objekte\\
+      der \newterm{abgeleiteten Klasse} zeigen\\
+      \textarrow\ \newterm{Polymorphie}
+  \end{itemize}
+
+\end{frame}
+
+\subsection{Beispiel: Zahlen und Buchstaben}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \begin{center}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          int type;
+        } t_base;¿
+      \end{lstlisting}
+    \end{minipage}\\[0.5cm]
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          int type;
+          int content;
+        } t_integer;¿
+      \end{lstlisting}
+    \end{minipage}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          int type;
+          char *content;
+        } t_string;¿
+      \end{lstlisting}
+    \end{minipage}
+  \end{center}
+  
+\end{frame}
+
+\begin{frame}[fragile]
+  \begin{center}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          int type;
+        } t_base;¿
+      \end{lstlisting}
+    \end{minipage}\\[0.5cm]
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          int type;
+          int content;
+        } t_integer;¿
+      \end{lstlisting}
+    \end{minipage}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          int type;
+          char *content;
+        } t_string;¿
+      \end{lstlisting}
+    \end{minipage}\\[0.7cm]
+    \begin{onlyenv}<1>
+      \begin{minipage}{8cm}
+        \begin{lstlisting}[gobble=10]
+          ¡t_integer i = { 1, 42 };
+          t_string s = { 2, "Hello, world!" };
+
+          t_base *object[] = { (t_base *) &i, (t_base *) &s };¿
+        \end{lstlisting}
+      \end{minipage}%
+      \begin{picture}(0,0)
+        \color{red}
+        \put(-5.4,-0.8){\mbox{$\underbrace{\rule{1.45cm}{0pt}}_{\shortstack{\strut explizite\\Typumwandlung}}$}}
+      \end{picture}
+    \end{onlyenv}
+%    \begin{onlyenv}<2>
+%      \begin{minipage}{5cm}
+%        \begin{lstlisting}[gobble=10]
+%          ¡typedef union
+%          {
+%            t_base base;
+%            t_integer integer;
+%            t_string string;
+%          } t_object;¿
+%        \end{lstlisting}
+%      \end{minipage}
+%    \end{onlyenv}
+  \end{center}
+  
+\end{frame}
+
+\subsection{Unions}
+
+\begin{frame}[fragile]
+
+  \showsubsection
+
+  Variable teilen sich denselben Speicherplatz.
+
+  \medskip
+
+  \begin{minipage}[t]{3.7cm}
+    \begin{lstlisting}[gobble=6]
+      ¡typedef union
+      {
+        int8_t i;
+        uint8_t u;
+      } num8_t;¿
+    \end{lstlisting}
+  \end{minipage}%
+  \begin{minipage}[t]{4.5cm}
+    \begin{lstlisting}[gobble=6]
+      ¡int main (void)
+      {
+        num8_t test;
+        test.i = -1;
+        printf ("%d\n", test.u);
+        return 0;
+      }¿
+    \end{lstlisting}
+  \end{minipage}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+  \showsubsection
+
+  Variable teilen sich denselben Speicherplatz.
+
+  \medskip
+
+  \begin{minipage}[t]{3.7cm}
+    \begin{lstlisting}[gobble=6]
+      ¡typedef union
+      {
+        char s[8];
+        uint64_t x;
+      } num_char_t;¿
+    \end{lstlisting}
+  \end{minipage}%
+  \begin{minipage}[t]{4.5cm}
+    \begin{lstlisting}[gobble=6]
+      ¡int main (void)
+      {
+        num_char_t test = { "Hello!" };
+        printf ("%lx\n", test.x);
+        return 0;
+      }¿
+    \end{lstlisting}
+  \end{minipage}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+  \showsubsection
+
+  Variable teilen sich denselben Speicherplatz.
+
+  \medskip
+
+  \begin{minipage}[t]{3.7cm}
+    \begin{lstlisting}[gobble=6]
+      ¡typedef union
+      {
+        t_base base;
+        t_integer integer;
+        t_string string;
+      } t_object;¿
+    \end{lstlisting}
+  \end{minipage}%
+  \begin{minipage}[t]{3.0cm}
+    \begin{lstlisting}[gobble=6]
+
+      ¡typedef struct
+      {
+        int type;
+      } t_base;¿
+    \end{lstlisting}
+  \end{minipage}%
+  \begin{minipage}[t]{3.0cm}
+    \begin{lstlisting}[gobble=6]
+
+      ¡typedef struct
+      {
+        int type;
+        int content;
+      } t_integer;¿
+    \end{lstlisting}
+  \end{minipage}%
+  \begin{minipage}[t]{3.0cm}
+    \begin{lstlisting}[gobble=6]
+
+      ¡typedef struct
+      {
+        int type;
+        char *content;
+      } t_string;¿
+    \end{lstlisting}
+  \end{minipage}
+
+  \bigskip
+
+  \begin{center}
+    \begin{minipage}{8.5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡if (this->base.type == T_INTEGER)
+          printf ("Integer: %d\n", this->integer.content);
+        else if (this->base.type == T_STRING)
+          printf ("String: \"%s\"\n", this->string.content);¿
+      \end{lstlisting}
+    \end{minipage}
+  \end{center}
+
+\end{frame}
+
+\subsection{Virtuelle Methoden}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  \begin{lstlisting}
+    void print_object (t_object *this)
+    {
+      if (this->base.type == T_INTEGER)
+        printf ("Integer: %d\n", this->integer.content);
+      else if (this->base.type == T_STRING)
+        printf ("String: \"%s\"\n", this->string.content);
+    }
+  \end{lstlisting}
+
+  \begin{picture}(0,0)
+    \color{red}
+    \put(9,1.7){\shortstack[l]{if-Kette:\\\strut wird unübersichtlich}}
+    \put(1,-2){\mbox{\textarrow}}
+    \put(0,-3){\mbox{Zeiger auf Funktionen}}
+  \end{picture}
+
+  \begin{lstlisting}[xleftmargin=4cm]
+    void print_integer (t_object *this)
+    {
+      printf ("Integer: %d\n", this->integer.content);
+    }
+
+    void print_string (t_object *this)
+    {
+      printf ("String: \"%s\"\n", this->string.content);
+    }
+  \end{lstlisting}
+
+\end{frame}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  Zeiger auf Funktionen
+
+  \medskip
+
+  \begin{lstlisting}
+    void (* print) (t_object *this);
+  \end{lstlisting}
+  \begin{picture}(0,1.2)(0,-0.9)
+    \color{red}
+    \put(0.95,0.3){\mbox{$\underbrace{\rule{1cm}{0pt}}$}}
+    \put(0.2,-0.7){\shortstack{das, worauf print zeigt,\\ist eine Funktion}}
+  \end{picture}
+
+  \begin{itemize}
+    \item
+      Objekt enthält Zeiger auf Funktion
+      \begin{onlyenv}<1>
+        \medskip
+        \begin{lstlisting}[gobble=10]
+          typedef struct
+          {
+            void (* print) (union t_object *this);
+            int content;
+          } t_integer;
+        \end{lstlisting}
+      \end{onlyenv}
+      \begin{onlyenv}<2->
+        \vspace*{-3.5cm}  % Why doesn't a picture environment work here??? :-(
+        \begin{lstlisting}[gobble=10,xleftmargin=5.5cm]
+          typedef struct
+          {
+            void (* print) (union t_object *this);
+            int content;
+          } t_integer;
+        \end{lstlisting}
+        \vspace*{0.85cm}
+        \bigskip
+        \smallskip
+      \end{onlyenv}
+    \pause
+    \item
+      Konstruktor initialisiert diesen Zeiger
+      \begin{onlyenv}<2>
+        \medskip
+        \begin{lstlisting}[gobble=10]
+          t_object *new_integer (int i)
+          {
+            t_object *p = malloc (sizeof (t_integer));
+            p->integer.print = print_integer;
+            p->integer.content = i;
+            return p;
+          }
+        \end{lstlisting}
+        \vspace*{-2cm}
+      \end{onlyenv}
+    \pause
+    \item
+      Aufruf: "`automatisch"' die richtige Funktion
+      \begin{onlyenv}<3>
+        \medskip
+        \begin{lstlisting}[gobble=10]
+          for (int i = 0; object[i]; i++)
+            object[i]->base.print (object[i]);
+        \end{lstlisting}
+      \end{onlyenv}
+    \pause
+    \medskip
+    \item
+      in größeren Projekten:\\
+      Objekt enthält Zeiger auf Tabelle von Funktionen
+  \end{itemize}
+\end{frame}
+
+\subsection{Beispiel: Graphische Benutzeroberfläche (GUI)}
+
+\begin{frame}[fragile]
+
+  \showsubsection
+
+  \scriptsize
+  \begin{lstlisting}
+    #include <gtk/gtk.h>
+
+    int main (int argc, char **argv)
+    {
+      gtk_init (&argc, &argv);
+      GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+      gtk_window_set_title (GTK_WINDOW (window), "Hello");
+      g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+      GtkWidget *vbox = gtk_box_new (GTK_ORIENTATION_VERTICAL, 5);
+      gtk_container_add (GTK_CONTAINER (window), vbox);
+      gtk_container_set_border_width (GTK_CONTAINER (vbox), 10);
+      GtkWidget *label = gtk_label_new ("Hello, world!");
+      gtk_container_add (GTK_CONTAINER (vbox), label);
+      GtkWidget *button = gtk_button_new_with_label ("Quit");
+      g_signal_connect (button, "clicked", G_CALLBACK (gtk_main_quit), NULL);
+      gtk_container_add (GTK_CONTAINER (vbox), button);
+      gtk_widget_show (button);
+      gtk_widget_show (label);
+      gtk_widget_show (vbox);
+      gtk_widget_show (window);
+      gtk_main ();
+      return 0;
+    }
+  \end{lstlisting}
+
+  \vspace*{-6cm}\strut\hfill
+  \includegraphics[scale=0.85]{hello-gtk.png}\\[2cm]
+  \begin{flushright}
+    \normalsize\bf Praktikumsversuch:\\
+    Objektorientiertes Zeichenprogramm
+  \end{flushright}
+  
+\end{frame}
+
+\subsection{Ausblick: C++}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  \begin{center}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          void (* print) (union t_object *this);
+        } t_base;¿
+      \end{lstlisting}
+    \end{minipage}\\[0.5cm]
+    \begin{minipage}{5.5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          void (* print) (...);
+          int content;
+        } t_integer;¿
+      \end{lstlisting}
+    \end{minipage}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡typedef struct
+        {
+          void (* print) (union t_object *this);
+          char *content;
+        } t_string;¿
+      \end{lstlisting}
+    \end{minipage}
+  \end{center}
+  
+\end{frame}
+
+\begin{frame}[fragile]
+  \showsubsection
+
+  \begin{center}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡struct TBase
+        {
+          virtual void print (void);
+        };¿
+      \end{lstlisting}
+    \end{minipage}\\[0.5cm]
+    \begin{minipage}{5.5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡struct TInteger: public TBase
+        {
+          virtual void print (void);
+          int content;
+        };¿
+      \end{lstlisting}
+    \end{minipage}
+    \begin{minipage}{5cm}
+      \begin{lstlisting}[gobble=8]
+        ¡struct TString: public TBase
+        {
+          virtual void print (void);
+          char *content;
+        };¿
+      \end{lstlisting}
+    \end{minipage}
+  \end{center}
+  
+\end{frame}
+
+\section{Datenstrukturen}
+\subsection{Stack und FIFO}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \begin{minipage}{0.48\textwidth}
+    Im letzten Praktikumsversuch:
+    \begin{itemize}
+      \item
+        Array nur zum Teil benutzt
+      \item
+        Variable speichert genutzte Länge
+      \item
+        Elemente hinten anfügen\\
+        oder entfernen
+      \arrowitem
+        Stack\\
+        \strut
+    \end{itemize}
+    \bigskip
+    \begin{itemize}
+      \item
+        hinten anfügen/entfernen: $\mathcal{O}(1)$\hspace*{-1cm}
+      \item
+        vorne oder in der Mitte einfügen/entfernen: $\mathcal{O}(n)$
+    \end{itemize}
+  \end{minipage}\hfill
+  \begin{minipage}{0.52\textwidth}
+    Auch möglich:
+    \begin{itemize}
+      \item
+        Array nur zum Teil benutzt
+      \item
+        2 Variable speichern\\genutzte Länge (ringförmig)
+      \item
+        Elemente hinten anfügen\\
+        oder vorne entfernen
+      \arrowitem
+        FIFO
+    \end{itemize}
+    \bigskip
+    \begin{itemize}
+      \item
+        vorne oder hinten\\
+        anfügen oder entfernen: $\mathcal{O}(1)$
+      \item
+        in der Mitte einfügen/entfernen: $\mathcal{O}(n)$
+    \end{itemize}
+  \end{minipage}\hspace*{-1.5mm}
+
+\end{frame}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \bigskip
+
+  \begin{minipage}[b]{6cm}
+    \begin{center}
+      "`First In -- First Out"'
+
+      \bigskip
+
+      \begin{picture}(6,4)
+        \thicklines
+        \color{structure}
+        \put(0.5,0){\line(1,0){5}}
+
+        \put(3.5,0){\only<1-5>{\line(0,1){1}}}
+        \put(4.5,0){\only<1-4>{\line(0,1){1}}}
+        \put(3.5,1){\only<1-4>{\line(1,0){1}}}
+        \put(4.0,0.5){\only<1-4>{\makebox(0,0){\lstinline{3}}}}
+        \put(3.0,1.5){\only<1>{\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,-0.45);}}}}
+        \put(3.0,1.5){\only<1>{\makebox(0,0)[b]{\lstinline{push (3)}}}}
+
+        \put(2.5,0){\only<2-6>{\line(0,1){1}}}
+        \put(2.5,1){\only<2-5>{\line(1,0){1}}}
+        \put(3.0,0.5){\only<2-5>{\makebox(0,0){\lstinline{7}}}}
+        \put(2.0,1.5){\only<2>{\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,-0.45);}}}}
+        \put(2.0,1.5){\only<2>{\makebox(0,0)[b]{\lstinline{push (7)}}}}
+
+        \put(1.5,0){\only<3-6>{\line(0,1){1}}}
+        \put(1.5,1){\only<3-6>{\line(1,0){1}}}
+        \put(2.0,0.5){\only<3-6>{\makebox(0,0){\lstinline{137}}}}
+        \put(1.0,1.5){\only<3>{\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,-0.45);}}}}
+        \put(1.0,1.5){\only<3>{\makebox(0,0)[b]{\lstinline{push (137)}}}}
+
+        \put(4.55,1.05){\only<4>{\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,0.45);}}}}
+        \put(5.00,1.60){\only<4>{\makebox(0,0)[b]{\lstinline{pop ()}: 3}}}
+
+        \put(3.55,1.05){\only<5>{\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,0.45);}}}}
+        \put(4.00,1.60){\only<5>{\makebox(0,0)[b]{\lstinline{pop ()}: 7}}}
+
+        \put(2.55,1.05){\only<6>{\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,0.45);}}}}
+        \put(3.00,1.60){\only<6>{\makebox(0,0)[b]{\lstinline{pop ()}: 137}}}
+      \end{picture}
+
+      \bigskip
+
+      FIFO = Queue = Reihe
+    \end{center}
+  \end{minipage}\hfill
+  \begin{minipage}[b]{6cm}
+    \begin{center}
+      "`Last In -- First Out"'
+
+      \bigskip
+
+      \begin{picture}(6,4)
+        \thicklines
+        \color{structure}
+        \put(1.5,0){\line(1,0){3}}
+
+        \put(2.5,0){\line(0,1){1}}
+        \put(3.5,0){\line(0,1){1}}
+        \put(2.5,1){\line(1,0){1}}
+        \put(3.0,0.5){\makebox(0,0){\lstinline{3}}}
+        \put(2.0,1.5){\only<1>{\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,-0.45);}}}}
+        \put(2.0,1.5){\only<1>{\makebox(0,0)[b]{\lstinline{push (3)}}}}
+
+        \put(2.5,1){\only<2-5>{\line(0,1){1}}}
+        \put(3.5,1){\only<2-5>{\line(0,1){1}}}
+        \put(2.5,2){\only<2-5>{\line(1,0){1}}}
+        \put(3.0,1.5){\only<2-5>{\makebox(0,0){\lstinline{7}}}}
+        \put(2.0,2.5){\only<2>{\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,-0.45);}}}}
+        \put(2.0,2.5){\only<2>{\makebox(0,0)[b]{\lstinline{push (7)}}}}
+
+        \put(2.5,2){\only<3-4>{\line(0,1){1}}}
+        \put(3.5,2){\only<3-4>{\line(0,1){1}}}
+        \put(2.5,3){\only<3-4>{\line(1,0){1}}}
+        \put(3.0,2.5){\only<3-4>{\makebox(0,0){\lstinline{137}}}}
+        \put(2.0,3.5){\only<3>{\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,-0.45);}}}}
+        \put(2.0,3.5){\only<3>{\makebox(0,0)[b]{\lstinline{push (137)}}}}
+
+        \put(3.55,3.05){\only<4>{\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,0.45);}}}}
+        \put(4.00,3.60){\only<4>{\makebox(0,0)[b]{\lstinline{pop ()}: 137}}}
+
+        \put(3.55,2.05){\only<5>{\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,0.45);}}}}
+        \put(4.00,2.60){\only<5>{\makebox(0,0)[b]{\lstinline{pop ()}: 7}}}
+
+        \put(3.55,1.05){\only<6>{\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.45,0.45);}}}}
+        \put(4.00,1.60){\only<6>{\makebox(0,0)[b]{\lstinline{pop ()}: 3}}}
+      \end{picture}
+
+      \bigskip
+
+      LIFO = Stack = Stapel
+    \end{center}
+  \end{minipage}
+
+%
+%  \dots
+
+\end{frame}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  \bigskip
+
+  \begin{minipage}[t]{6cm}
+    Array (Stack, FIFO):\\
+    in der Mitte einfügen
+    \begin{center}
+      \begin{picture}(6,3.8)
+        \thicklines
+        \color{structure}
+        \put(1.5,0){\line(1,0){3}}
+
+        \put(2.5,0){\line(0,1){3}}
+        \put(3.5,0){\line(0,1){3}}
+        \put(2.5,1){\line(1,0){1}}
+        \put(3.0,0.5){\makebox(0,0){\lstinline{3}}}
+        \put(2.5,1){\line(1,0){1}}
+        \put(3.0,1.5){\makebox(0,0){\lstinline{7}}}
+        \put(2.5,2){\line(1,0){1}}
+        \put(3.0,2.5){\makebox(0,0){\lstinline{137}}}
+        \put(2.5,3){\line(1,0){1}}
+
+        \put(1.5,1.5){\makebox(0,0)[b]{\lstinline{push (5)}}}
+        \put(1.5,1.45){\makebox(0,0)[tl]{\tikz{\draw[-latex, line width=1pt](0,0)--(0.95,-0.45);}}}
+
+        \put(3.55,2.5){\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)..controls(0.5,0.45)..(0,0.9);}}}
+        \put(3.55,1.5){\makebox(0,0)[bl]{\tikz{\draw[-latex, line width=1pt](0,0)..controls(0.5,0.45)..(0,0.9);}}}
+
+        \pause
+        \color{red}
+        \put(4.1,3.0){\makebox(0,0)[l]{\textbf{1.}}}
+        \put(4.1,2.0){\makebox(0,0)[l]{\textbf{2.}}}
+        \put(1.5,1.9){\makebox(0,0)[b]{\textbf{3.}}}
+
+        \pause
+        \put(6.0,1.5){\makebox(0,0)[tl]{$\mathcal{O}(n)$}}
+        \put(5.95,1.45){\makebox(0,0)[br]{\tikz{\draw[-latex](0,0)--(-1.3,0.4);}}}
+        \put(5.95,1.49){\makebox(0,0)[br]{\tikz{\draw[-latex](0,0)--(-1.3,1.1);}}}
+      \end{picture}
+    \end{center}
+  \end{minipage}\pause\hfill
+  \begin{minipage}[t]{5cm}
+    In Array (Stack, FIFO) \dots
+    \begin{itemize}
+      \item
+        einfügen: $\mathcal{O}(n)$
+      \item
+        suchen: $\mathcal{O}(n)$
+      \item
+        geschickt suchen: $\mathcal{O}(\log n)$
+      \item
+        beim Einfügen sortieren:\\
+        $\mathcal{O}(n \log n)$ \hspace*{-1.8cm}\tikz{\draw[red](-1.8,0)--(0,0.2);\draw[red](-1.8,0.2)--(0,0);}
+        $\mathcal{O}(n^2)$
+    \end{itemize}
+  \end{minipage}
+
+\end{frame}
+
+\subsection{Verkettete Listen}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  \begin{tikzpicture}
+    \color{structure}
+    \node(first) at (0,0.5) {first};
+    \node[shape=rectangle,draw,line width=1pt](3) at (1,2) {3};
+    \node[shape=rectangle,draw,line width=1pt](5) at (2,1) {5};
+    \node[shape=rectangle,draw,line width=1pt](7) at (3,2) {7};
+    \node[shape=rectangle,draw,line width=1pt](137) at (5,2) {137};
+    \node(NULL) at (7,2) {NULL};
+    \draw[-latex](first)--(3);
+    \only<1>{\draw[-latex](3)--(7);}
+    \only<2>{\draw[-latex](3) to[out=0] (5);}
+    \only<2>{\draw[-latex](5) to[in=180] (7);}
+    \draw[-latex](7)--(137);
+    \draw[-latex](137)--(NULL);
+  \end{tikzpicture}
+  \begin{itemize}
+    \item
+      Jeder Datensatz enthält einen Zeiger auf das nächste Element.
+    \item
+      Beim letzten Element zeigt der Zeiger auf \lstinline{NULL}.
+    \item
+      Eine Variable zeigt auf das erste Element.
+    \item
+      Wenn die Liste leer ist, zeigt die Variable auf \lstinline{NULL}.
+    \arrowitem
+      (einfach) \textbf{verkettete Liste}
+  \end{itemize}
+
+\end{frame}
+
+\begin{frame}
+
+  \showsection
+  \showsubsection
+
+  \begin{minipage}[t]{5cm}
+    In Array (Stack, FIFO) \dots
+    \begin{itemize}
+      \item
+        in der Mitte einfügen: $\mathcal{O}(n)$
+      \item
+        wahlfreier Zugriff: $\mathcal{O}(1)$
+      \item
+        suchen: $\mathcal{O}(n)$
+      \item
+        geschickt suchen: $\mathcal{O}(\log n)$
+      \item
+        beim Einfügen sortieren:\\
+        $\mathcal{O}(n \log n)$ \hspace*{-1.8cm}\tikz{\draw[red](-1.8,0)--(0,0.2);\draw[red](-1.8,0.2)--(0,0);}
+        $\mathcal{O}(n^2)$
+    \end{itemize}
+  \end{minipage}\hfill
+  \begin{minipage}[t]{6cm}
+    In (einfach) verkettete/r Liste \dots
+    \begin{itemize}
+      \item
+        in der Mitte einfügen: $\mathcal{O}(1)$
+      \item
+        wahlfreier Zugriff: $\mathcal{O}(n)$
+      \item
+        suchen: $\mathcal{O}(n)$
+      \item
+        geschickt \hspace*{-1.7cm}\tikz{\draw[red](-1.7,0)--(0,0.2);\draw[red](-1.7,0.2)--(0,0);}
+        suchen: {\color{red}$\mathcal{O}(n)$}
+      \item
+        beim Einfügen sortieren:
+        $\mathcal{O}(n \log n)$ \hspace*{-1.8cm}\tikz{\draw[red](-1.8,0)--(0,0.2);\draw[red](-1.8,0.2)--(0,0);}
+        $\mathcal{O}(n^2)$
+    \end{itemize}
+  \end{minipage}
+  \pause
+  \medskip
+  \begin{center}
+    \begin{minipage}[t]{6cm}
+      In (ausbalancierten) Bäumen \dots
+      \begin{itemize}
+        \item
+          in der Mitte einfügen: $\mathcal{O}(\log n)$
+        \item
+          wahlfreier Zugriff: $\mathcal{O}(\log n)$
+        \item
+          suchen: $\mathcal{O}(\log n)$
+        \item
+          beim Einfügen sortieren:
+          $\mathcal{O}(n \log n)$
+      \end{itemize}
+    \end{minipage}
+  \end{center}
+  \vspace*{-1cm}
+
+\end{frame}
+
+\subsection{Bäume}
+
+\begin{frame}[fragile]
+
+  \showsection
+  \showsubsection
+
+  \begin{minipage}[t]{5cm}
+    \vspace*{-6cm}
+    \begin{lstlisting}[gobble=6]
+      ¡typedef struct node
+      {
+        int content;
+        struct node *left, *right;
+      } node;¿
+    \end{lstlisting}
+%    \bigskip
+    \bigskip
+    \begin{onlyenv}<6->
+      \begin{itemize}
+        \item
+          Einfügen: rekursiv, $\mathcal{O}(\log n)$
+        \item
+          Suchen: rekursiv, $\mathcal{O}(\log n)$
+        \item
+          beim Einfügen sortieren:\\
+          rekursiv, $\mathcal{O}(n\log n)$
+        \begin{onlyenv}<7->
+          \smallskip
+          \item
+            {\color{red}
+            \emph{Worst Case\/}: $\mathcal{O}(n^2)$\\
+            vorher bereits sortiert}\\
+            \textarrow\ balancierte Bäume\\
+            \hspace*{2.15em}Anwendung: Datenbanken\hspace*{-2cm}
+        \end{onlyenv}
+      \end{itemize}
+      \vspace*{-1cm}
+    \end{onlyenv}
+  \end{minipage}\hfill
+  \begin{minipage}[t]{7cm}
+    \begin{center}
+      \begin{tikzpicture}
+        \color{structure}
+        \node(root) at (0,0) {\lstinline{node *root;}};
+        \begin{onlyenv}<2>
+          \node(3) at (-2,-3) {\lstinline{NULL}};
+          \node(137) at (2,-3) {\lstinline{NULL}};
+        \end{onlyenv}
+        \begin{onlyenv}<2->
+          \node[shape=rectangle,draw,line width=1pt](7) at (0,-1.5) {7};
+          \draw[-latex](root)--(7);
+          \draw[-latex](7)--(3);
+          \draw[-latex](7)--(137);
+        \end{onlyenv}
+        \begin{onlyenv}<3>
+          \node(3) at (-2,-3) {\lstinline{NULL}};
+        \end{onlyenv}
+        \begin{onlyenv}<3->
+          \node[shape=rectangle,draw,line width=1pt](137) at (2,-3) {137};
+          \node(137_left) at (1,-4.5) {\lstinline{NULL}};
+          \node(137_right) at (3,-4.5) {\lstinline{NULL}};
+          \draw[-latex](137)--(137_left);
+          \draw[-latex](137)--(137_right);
+        \end{onlyenv}
+        \begin{onlyenv}<4>
+          \node(5) at (-1,-4.5) {\lstinline{NULL}};
+        \end{onlyenv}
+        \begin{onlyenv}<4->
+          \node[shape=rectangle,draw,line width=1pt](3) at (-2,-3) {3};
+          \node(3_left) at (-3,-4.5) {\lstinline{NULL}};
+          \draw[-latex](3)--(3_left);
+          \draw[-latex](3)--(5);
+        \end{onlyenv}
+        \begin{onlyenv}<5->
+          \node[shape=rectangle,draw,line width=1pt](5) at (-1,-4.5) {5};
+          \node(5_left) at (-2,-6) {\lstinline{NULL}};
+          \node(5_right) at (0,-6) {\lstinline{NULL}};
+          \draw[-latex](5)--(5_left);
+          \draw[-latex](5)--(5_right);
+        \end{onlyenv}
+      \end{tikzpicture}
+    \end{center}
+  \end{minipage}
+
+\end{frame}
+
+\nosectionnonumber{\inserttitle}
+
+\begin{frame}
+
+  \shownosectionnonumber
+
+  \begin{itemize}
+    \item[\textbf{1}] \textbf{Einführung}
+      \hfill\makebox(0,0)[br]{\raisebox{2.25ex}{\url{https://gitlab.cvh-server.de/pgerwinski/hp}}}
+    \item[\textbf{2}] \textbf{Einführung in C}
+    \item[\textbf{3}] \textbf{Bibliotheken}
+    \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+    \item[\textbf{5}] \textbf{Algorithmen}
+    \item[\textbf{6}] \textbf{Objektorientierte Programmierung}
+    \item[\textbf{7}] \textbf{Datenstrukturen}
+      \begin{itemize}
+        \color{medgreen}
+        \item[7.1] Stack und FIFO
+        \item[7.2] Verkettete Listen
+        \item[7.3] Bäume
+      \end{itemize}
+  \end{itemize}
+
+\end{frame}
+
+\begin{frame}
+
+  \shownosectionnonumber
+
+  \begin{itemize}
+    \item[\textbf{1}] \textbf{Einführung}
+      \hfill\makebox(0,0)[br]{\raisebox{2.25ex}{\url{https://gitlab.cvh-server.de/pgerwinski/hp}}}
+    \item[\textbf{2}] \textbf{Einführung in C}
+    \item[\textbf{3}] \textbf{Bibliotheken}
+    \item[\textbf{4}] \textbf{Hardwarenahe Programmierung}
+    \item[\textbf{5}] \textbf{Algorithmen}
+    \item[\textbf{6}] \textbf{Objektorientierte Programmierung}
+    \item[\textbf{7}] \textbf{Datenstrukturen}
+      \begin{itemize}
+        \item[7.1] Stack und FIFO
+        \item[7.2] Verkettete Listen
+        \item[7.3] Bäume
+      \end{itemize}
+  \end{itemize}
+
+  \begin{flushright}
+    \large\bf\em\color{medgreen}Vielen Dank für Ihre Aufmerksamkeit\\
+      und viel Erfolg bei den Prüfungen!
+  \end{flushright}
+
+\end{frame}
+
+\end{document}
diff --git a/20240118/hp-musterloesung-20240118.pdf b/20240118/hp-musterloesung-20240118.pdf
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+% hp-musterloesung-20240118.pdf - Solutions to the Exercises on Low-Level Programming / Applied Computer Sciences
+% Copyright (C) 2013, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024  Peter Gerwinski
+%
+% This document is free software: you can redistribute it and/or
+% modify it either under the terms of the Creative Commons
+% Attribution-ShareAlike 3.0 License, or under the terms of the
+% GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option)
+% any later version.
+%
+% This document is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this document.  If not, see <http://www.gnu.org/licenses/>.
+%
+% You should have received a copy of the Creative Commons
+% Attribution-ShareAlike 3.0 Unported License along with this
+% document.  If not, see <http://creativecommons.org/licenses/>.
+
+% README: Einfach und doppelt verkettete Listen, ternärer Baum, hüpfender Ball
+
+\documentclass[a4paper]{article}
+
+\usepackage{pgscript}
+\usepackage{tikz}
+
+\begin{document}
+
+  \section*{Hardwarenahe Programmierung\\
+            Musterlösung zu den Übungsaufgaben -- 18.\ Januar 2024}
+
+  \exercise{Einfach und doppelt verkettete Listen}
+
+  Das Beispiel-Programm \gitfile{hp}{2023ws/20240118}{aufgabe-1.c}
+  demonstriert zwei Funktionen zur Verwaltung einfach verketteter Listen:
+  \lstinline{output_list()} zum Ausgeben der Liste auf den Bildschirm und
+  \lstinline{insert_into_list()} zum Einfügen in die Liste.
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      Ergänzen Sie eine Funktion \lstinline{delete_from_list()}
+      zum Löschen eines Elements aus der Liste
+      mit Freigabe des Speicherplatzes.
+      \points{5}
+    \item
+      Ergänzen Sie eine Funktion \lstinline{reverse_list()}
+      die die Reihenfolge der Elemente in der Liste umdreht.\\
+      \points{3}
+  \end{enumerate}
+
+  Eine doppelt verkettete Liste hat in jedem Knotenpunkt (\lstinline{node})
+  \emph{zwei\/} Zeiger -- einen auf das nächste Element (\lstinline{next})
+  und einen auf das vorherige Element (z.\,B.\ \lstinline{prev} für "`previous"').
+  Dadurch ist es leichter als bei einer einfach verketteten Liste,
+  die Liste in umgekehrter Reihenfolge durchzugehen.
+
+  \begin{quote}
+    \begin{tikzpicture}
+      \color{blendedblue}
+      \node(first) at (0,3.5) {first};
+      \node(NULL1) at (-1,1.25) {NULL};
+      \node[shape=rectangle,draw,line width=1pt](3) at (1,2) {3};
+      \node[shape=rectangle,draw,line width=1pt](7) at (3,2) {7};
+      \node[shape=rectangle,draw,line width=1pt](137) at (5,2) {137};
+      \node(NULL2) at (7,2.75) {NULL};
+      \draw[-latex](first)--(3);
+      \draw[-latex](3) to[out=45,in=135] (7);
+      \draw[-latex](3) to[out=-135,in=0] (NULL1);
+      \draw[-latex](7) to[out=-135,in=-45] (3);
+      \draw[-latex](7) to[out=45,in=135] (137);
+      \draw[-latex](137) to[out=-135,in=-45] (7);
+      \draw[-latex](137) to[out=45,in=180] (NULL2);
+    \end{tikzpicture}
+  \end{quote}
+
+  Der Rückwärts-Zeiger (\lstinline{prev}) des ersten Elements zeigt,
+  genau wie der Vorwärts-Zeiger (\lstinline{next}) des letzten Elements,
+  auf \emph{nichts}, hat also den Wert \lstinline{NULL}.
+
+  \begin{enumerate}[\quad(a)]\setcounter{enumi}{2}
+    \item
+      Schreiben Sie das Programm um für doppelt verkettete Listen.
+      \points{5}
+  \end{enumerate}
+
+  \solution
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      \textbf{Ergänzen Sie eine Funktion \lstinline{delete_from_list()}
+      zum Löschen eines Elements aus der Liste
+      mit Freigabe des Speicherplatzes.}
+
+      Siehe: \gitfile{hp}{2023ws/20240118}{loesung-1a.c}
+
+      Um ein Element aus einer verketteten Liste zu löschen,
+      müssen zuerst die Zeiger umgestellt werden,
+      um das Element von der Liste auszuschließen.
+      Erst danach darf der Speicherplatz für das Element freigegeben werden.
+
+%      Da das Beispielprogramm (\gitfile{hp}{2023ws/20240118}{lists-5.c})
+%      nicht mit dynamischem Speicher arbeitet,
+%      stellen wir dieses zunächst auf dynamischen Speicher um, z.\,B.:
+%      \begin{lstlisting}[gobble=8]
+%        node *element5 = malloc (sizeof (node));
+%      \end{lstlisting}
+%      Danach bezeichnet \lstinline{element5}
+%      die Adresse der \lstinline{struct}-Variablen;
+%      es wird also \lstinline{element5} an die Funktionen übergeben
+%      und nicht \lstinline{&element5} (die Adresse des Zeigers).
+
+%      Um nun ein Element aus der Liste zu entfernen,
+%      benötigt man
+      Man benötigt also
+      \emph{das vorherige Element},
+      dessen \lstinline{next}-Zeiger man dann auf
+      das übernächste Element \lstinline{next->next} weitersetzt.
+
+      Bei jedem Zeiger muß man vor dem Zugriff prüfen,
+      daß dieser nicht auf \lstinline{NULL} zeigt.
+      (Die Musterlösung ist in dieser Hinsicht nicht konsequent.
+      Für den Produktiveinsatz müßte z.\,B.\ \lstinline{delete_from_list()}
+      auch den übergebenen Zeiger \lstinline{what} auf \lstinline{NULL} prüfen.)
+
+      Ein Spezialfall tritt ein, wenn das erste Element einer Liste
+      entfernt werden soll. In diesem Fall tritt \lstinline{first}
+      an die Stelle des \lstinline{next}-Zeigers
+      des (nicht vorhandenen) vorherigen Elements.
+      Da \lstinline{delete_from_list()} \emph{schreibend\/} auf \lstinline{first}
+      zugreift, muß \lstinline{first} \emph{als Zeiger\/} übergeben werden
+      (\lstinline{node **first}).
+
+      Um alle Spezialfälle zu testen (am Anfang, am Ende und in der Mitte der Liste),
+      wurden die Testfälle im Hauptprogramm erweitert.
+
+    \item
+      \textbf{Schreiben Sie das Programm um für doppelt verkettete Listen.}
+
+      Siehe: \gitfile{hp}{2023ws/20240118}{loesung-1b.c}
+
+      Bei allen Einfüge- und Löschaktionen müssen \emph{jeweils zwei\/}
+      \lstinline{next}- und \lstinline{prev}-Zeiger neu gesetzt werden.
+
+      Zum Debuggen empfiehlt es sich sehr,
+      eine Funktion zu schreiben, die die Liste auf Konsistenz prüft
+      (hier: \lstinline{check_list()}).
+
+      Das Testprogramm macht von der Eigenschaft der doppelt verketteten Liste,
+      daß man sie auch rückwärts effizient durchgehen kann, keinen Gebrauch.
+      Um diese Eigenschaft als Vorteil nutzen zu können, empfiehlt es sich,
+      zusätzlich zu \lstinline{first}
+      auch einen Zeiger auf das letzte Element (z.\,B.\ \lstinline{last})
+      einzuführen. Dieser muß dann natürlich bei allen Operationen
+      (Einfügen, Löschen, \dots) auf dem aktuellen Stand gehalten werden.
+
+  \end{enumerate}
+
+  \exercise{Ternärer Baum}
+
+  Der in der Vorlesung vorgestellte \newterm{binäre Baum\/}
+  ist nur ein Spezialfall;
+  im allgemeinen können Bäume auch mehr als zwei Verzweigungen
+  pro Knotenpunkt haben.
+  Dies ist nützlich bei der Konstruktion \emph{balancierter Bäume},
+  also solcher, die auch im \emph{Worst Case\/}
+  nicht zu einer linearen Liste entarten,
+  sondern stets eine -- möglichst flache -- Baumstruktur behalten.
+
+  Wir betrachten einen Baum mit bis zu drei Verzweigungen pro Knotenpunkt,
+  einen sog.\ \newterm{ternären Baum}.
+  Jeder Knoten enthält dann nicht nur einen,
+  sondern \emph{zwei\/} Werte als Inhalt:
+  \begin{lstlisting}
+    typedef struct node
+    {
+      int content_left, content_right;
+      struct node *left, *middle, *right;
+    } node;
+  \end{lstlisting}
+
+  Wir konstruieren nun einen Baum nach folgenden Regeln:
+  \vspace{-\medskipamount}
+  \begin{itemize}\itemsep0pt
+    \item
+      Innerhalb eines Knotens sind die Werte sortiert:
+      \lstinline{content_left} muß stets kleiner sein als \lstinline{content_right}.
+    \item
+      Der Zeiger \lstinline{left} zeigt auf Knoten,
+      deren enthaltene Werte durchweg kleiner sind als \lstinline{content_left}.
+    \item
+      Der Zeiger \lstinline{right} zeigt auf Knoten,
+      deren enthaltene Werte durchweg größer sind als \lstinline{content_right}.
+    \item
+      Der Zeiger \lstinline{middle} zeigt auf Knoten,
+      deren enthaltene Werte durchweg größer sind als \lstinline{content_left},
+      aber kleiner als \lstinline{content_right}.
+    \item
+      Ein Knoten muß nicht immer mit zwei Werten voll besetzt sein;
+      er darf auch \emph{nur einen\/} gültigen Wert enthalten.
+
+      Der Einfachheit halber lassen wir in diesem Beispiel
+      nur positive Zahlen als Werte zu.
+      Wenn ein Knoten nur einen Wert enthält,
+      setzen wir \lstinline{content_right = -1},
+      und der Zeiger \lstinline{middle} wird nicht verwendet.
+    \item
+      Wenn wir neue Werte in den Baum einfügen,
+      werden \emph{zuerst\/} die nicht voll besetzten Knoten aufgefüllt
+      und \emph{danach erst\/} neue Knoten angelegt und Zeiger gesetzt.
+    \item
+      Beim Auffüllen eines Knotens darf nötigenfalls \lstinline{content_left}
+      nach \lstinline{content_right} verschoben werden.
+      Ansonsten werden einmal angelegte Knoten nicht mehr verändert.
+  \end{itemize}
+  \vspace*{-\medskipamount}
+  (In der Praxis dürfen Knoten gemäß speziellen Regeln
+  nachträglich verändert werden,
+  um Entartungen gar nicht erst entstehen zu lassen --
+  siehe z.\,B.\ \url{https://en.wikipedia.org/wiki/2-3_tree}.)
+  \begin{enumerate}[\quad(a)]
+    \item
+      Zeichnen Sie ein Schaubild, das veranschaulicht,
+      wie die Zahlen 7, 137, 3, 5, 6, 42, 1, 2 und 12
+      nacheinander und in dieser Reihenfolge
+      in den oben beschriebenen Baum eingefügt werden
+      -- analog zu den Vortragsfolien (\gitfile{hp}{2023ws/20240118}{hp-20221219.pdf}),
+      Seite 33.
+      \points{3}
+      %
+      % Lösung:
+      %
+      %           7 137
+      %         /   |
+      %      3 5  12 42
+      %     /   \
+      %   1 2    6
+      %
+      % (NULL-Zeiger sind hier nicht dargestellt,
+      % gehören aber dazu.)
+      %
+    \item
+      Dasselbe, aber in der Reihenfolge 
+      2, 7, 42, 12, 1, 137, 5, 6, 3.
+      \points{3}
+      %
+      % Lösung:
+      %
+      %           2 7
+      %         /  |  \
+      %       1   5 6  12 42
+      %         /           \
+      %        3             137
+      %
+      % (NULL-Zeiger sind hier wieder nicht dargestellt,
+      % gehören aber dazu.)
+      %
+    \item
+      Beschreiben Sie in Worten und/oder als C-Quelltext-Fragment,
+      wie eine Funktion aussehen müßte, um den auf diese Weise entstandenen Baum
+      sortiert auszugeben.
+      \points{4}
+  \end{enumerate}
+
+  \solution
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      \textbf{Zeichnen Sie ein Schaubild, das veranschaulicht,
+      wie die Zahlen 7, 137, 3, 5, 6, 42, 1, 2 und 12
+      nacheinander und in dieser Reihenfolge
+      in den oben beschriebenen Baum eingefügt werden
+      -- analog zu den Vortragsfolien (\gitfile{hp}{2023ws/20240118}{hp-20221219.pdf}),
+      Seite 21.}
+      %
+      % Lösung:
+      %
+      %           7 137
+      %         /   |
+      %      3 5  12 42
+      %     /   \
+      %   1 2    6
+      %
+      % (NULL-Zeiger sind hier nicht dargestellt,
+      % gehören aber dazu.)
+      %
+      \begin{center}
+        \newcommand{\x}{~\makebox(0,0){\raisebox{0.7em}{\rule{1pt}{1.4em}}}~}
+        \begin{tikzpicture}
+          \color{blendedblue}
+          \node(root) at (0,0) {\lstinline{node *root;}};
+          \node[shape=rectangle,draw,line width=1pt](7-137) at (0,-1.5) {7\x 137};
+          \draw[-latex](root)--(7-137);
+          \node[shape=rectangle,draw,line width=1pt](3-5) at (-2,-3) {3\x 5};
+          \draw[-latex](7-137)--(3-5);
+          \node[shape=rectangle,draw,line width=1pt](12-42) at (0,-3) {12\x 42};
+          \draw[-latex](7-137)--(12-42);
+          \node[shape=rectangle,draw,line width=1pt](1-2) at (-4,-4.5) {1\x 2};
+          \draw[-latex](3-5)--(1-2);
+          \node[shape=rectangle,draw,line width=1pt](6) at (0,-4.5) {6};
+          \draw[-latex](3-5)--(6);
+        \end{tikzpicture}
+      \end{center}
+      Bemerkungen:
+      \begin{itemize}
+        \item
+          Zeiger mit dem Wert \lstinline{NULL} sind nicht dargestellt:
+          \lstinline{right}-Zeiger von 7/137,
+          \lstinline{middle}-Zeiger von 3/5,
+          sämtliche Zeiger von 1/2, 12/42 und 6.
+        \item
+          Beim Einfügen der 12 wird die sich bereits vorher in diesem
+          \lstinline{node} befindliche 42 zu \lstinline{content_right},
+          und die 12 wird das neue \lstinline{content_left}.
+        \item
+          Dieser Baum hat sehr einfache Regeln und ist daher \emph{nicht\/}
+          balanciert. Insbesondere unsere Regel, daß einmal angelegte Knoten
+          nicht mehr verändert werden dürfen, steht dem im Wege.
+          Ein einfaches Beispiel für einen \emph{balancierten\/} ternären
+          Baum ist der 2-3-Baum -- siehe z.\,B.\ \url{https://en.wikipedia.org/wiki/2-3_tree}.
+      \end{itemize}
+    \goodbreak
+    \item
+      \textbf{Dasselbe, aber in der Reihenfolge 
+      2, 7, 42, 12, 1, 137, 5, 6, 3.}
+      %
+      % Lösung:
+      %
+      %           2 7
+      %         /  |  \
+      %       1   5 6  12 42
+      %         /           \
+      %        3             137
+      %
+      % (NULL-Zeiger sind hier wieder nicht dargestellt,
+      % gehören aber dazu.)
+      %
+      \begin{center}
+        \newcommand{\x}{~\makebox(0,0){\raisebox{0.7em}{\rule{1pt}{1.4em}}}~}
+        \begin{tikzpicture}
+          \color{blendedblue}
+          \node(root) at (0,0) {\lstinline{node *root;}};
+          \node[shape=rectangle,draw,line width=1pt](2-7) at (0,-1.5) {2\x 7};
+          \draw[-latex](root)--(7-137);
+          \node[shape=rectangle,draw,line width=1pt](1) at (-2,-3) {1};
+          \draw[-latex](2-7)--(1);
+          \node[shape=rectangle,draw,line width=1pt](5-6) at (0,-3) {5\x 6};
+          \draw[-latex](2-7)--(5-6);
+          \node[shape=rectangle,draw,line width=1pt](3) at (-2,-4.5) {3};
+          \draw[-latex](5-6)--(3);
+          \node[shape=rectangle,draw,line width=1pt](12-42) at (2,-3) {12\x 42};
+          \draw[-latex](2-7)--(12-42);
+          \node[shape=rectangle,draw,line width=1pt](137) at (4,-4.5) {137};
+          \draw[-latex](12-42)--(137);
+        \end{tikzpicture}
+      \end{center}
+      Bemerkungen:
+      \begin{itemize}
+        \item
+          Wieder sind Zeiger mit dem Wert \lstinline{NULL} nicht dargestellt:
+          \lstinline{middle}- und \lstinline{right}-Zeiger von 5/6,
+          \lstinline{left}- und \lstinline{middle}-Zeiger von 12/42,
+          sämtliche Zeiger von 1, 3 und 137.
+        \item
+          Beim Einfügen der 12 wird wieder die sich bereits vorher in diesem
+          \lstinline{node} befindliche 42 zu \lstinline{content_right},
+          und die 12 wird das neue \lstinline{content_left}.
+      \end{itemize}
+    \item
+      \textbf{Beschreiben Sie in Worten und/oder als C-Quelltext-Fragment,
+      wie eine Funktion aussehen müßte, um den auf diese Weise entstandenen Baum
+      sortiert auszugeben.}
+
+      Die entscheidende Idee ist \textbf{Rekursion}.
+
+      Eine Funktion, die den gesamten Baum ausgibt,
+      müßte einmalig für den Zeiger \lstinline{root} aufgerufen werden
+      und folgendes tun:
+      \begin{enumerate}[\quad 1.]
+        \item
+          falls der übergebene Zeiger den Wert \lstinline{NULL} hat,
+          nichts ausgeben, sondern die Funktion direkt beenden,
+        \item
+          sich selbst für den \lstinline{left}-Zeiger aufrufen,
+        \item
+          den Wert von \lstinline{content_left} ausgeben,
+        \item
+          sich selbst für den \lstinline{middle}-Zeiger aufrufen,
+        \item
+          sofern vorhanden (also ungleich \lstinline{-1}),
+          den Wert von \lstinline{content_right} ausgeben,
+        \item
+          sich selbst für den \lstinline{right}-Zeiger aufrufen.
+      \end{enumerate}
+      Als C-Fragment:
+      \begin{lstlisting}[gobble=8]
+        void output_tree (node *root)
+        {
+          if (root)
+            {
+              output_tree (root->left);
+              printf ("%d\n", root->content_left);
+              output_tree (root->middle);
+              if (root->content_right >= 0)
+                printf ("%d\n", root->content_right);
+              output_tree (root->right);
+            }
+        }
+      \end{lstlisting}
+      Die Datei \gitfile{hp}{2023ws/20240118}{loesung-2c.c} erweitert dieses Fragment
+      zu einem vollständigen C-Programm zum Erstellen und sortierten Ausgeben
+      eines ternären Baums mit den Zahlenwerten von Aufgabenteil (a).
+  \end{enumerate}
+
+  \exercise{Fehlerhaftes Programm: Hüpfender Ball}
+
+  Das auf der nächsten Seite abgedruckte GTK+-Programm
+  (Datei: \gitfile{hp}{2023ws/20240118}{aufgabe-3.c}) soll einen
+  hüpfenden Ball darstellen, ist jedoch fehlerhaft.
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      Warum sieht man lediglich ein leeres Fenster?
+      Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben?
+      \points{3}
+    \item
+      Nach der Fehlerbehebung in Aufgabenteil (a)
+      zeigt das Programm einen unbeweglichen Ball.
+      Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben, und warum?
+      \points{2}
+    \item
+      Erklären Sie das merkwürdige Hüpfverhalten des Balls.
+      Wie kommt es zustande?
+      Was an diesem Verhalten ist korrekt, und was ist fehlerhaft? \points{5}
+    \item
+      Welche Befehle muß man in welcher Weise ändern,
+      um ein realistischeres Hüpf-Verhalten zu bekommen? \points{2}
+  \end{enumerate}
+
+  Hinweis: Das Hinzuziehen von Beispiel-Programmen aus der Vorlesung
+  ist ausdrücklich erlaubt -- auch in der Klausur.
+
+  Allgemeiner Hinweis:
+  Wenn Sie die Übungsaufgaben zu dieser Lehrveranstaltung
+  als PDF-Datei betrachten und darin auf die Dateinamen klicken,
+  können Sie die Beispiel-Programme direkt herunterladen.
+  Dadurch vermeiden Sie Übertragungsfehler.
+
+  \solution
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      \textbf{Warum sieht man lediglich ein leeres Fenster?
+      Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben?}
+
+      Die für das Zeichnen zuständige Callback-Funktion wurde zwar geschrieben,
+      aber nicht installiert.
+      Um dies zu beheben, ergänze man den folgenden Befehl im Hauptprogramm:
+
+      \lstinline{g_signal_connect (drawing_area, "draw", G_CALLBACK (draw), NULL);}
+
+      Dies erkennt man sehr schnell durch Vergleich mit dem Beispiel-Programm
+      \gitfile{hp}{2023ws/20240118}{gtk-13.c}.
+
+    \item
+      \textbf{Nach der Fehlerbehebung in Aufgabenteil (a)
+      zeigt das Programm einen unbeweglichen Ball.
+      Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben, und warum?}
+
+      Die Timer-Callback-Funktion wurde zwar geschrieben, aber nicht installiert.
+      Um dies zu beheben, ergänze man den folgenden Befehl im Hauptprogramm:
+
+      \lstinline{g_timeout_add (50, (GSourceFunc) timer, drawing_area);}
+
+      Auch dies erkennt man sehr schnell durch Vergleich mit dem Beispiel-Programm
+      \gitfile{hp}{2023ws/20240118}{gtk-13.c}.
+
+    \item
+      \textbf{Erklären Sie das merkwürdige Hüpfverhalten des Balls.
+      Wie kommt es zustande?
+      Was an diesem Verhalten ist korrekt, und was ist fehlerhaft?}
+
+      Die Geschwindigkeit in $y$-Richtung wächst immer weiter.
+      Der Grund dafür ist, daß die $y$-Komponente der Geschwindigkeit
+      nicht auf physikalisch sinnvolle Weise berechnet wird.
+      In der dafür zuständigen Zeile
+      \lstinline{vy = 0.5 * g * (t * t);}
+      wird stattdessen der Weg in $y$-Richtung bei einer gleichmäßig
+      beschleunigten Bewegung berechnet und als Geschwindigkeit verwendet.
+
+    \item
+      \textbf{Welche Befehle muß man in welcher Weise ändern,
+      um ein realistischeres Hüpf-Verhalten zu bekommen?}
+
+      Da der Ball am Boden abprallen soll, ist es \emph{nicht\/} sinnvoll,
+      die $y$-Komponente der Geschwindigkeit über die bekannte physikalische
+      Formel $v_y = -g\cdot t$ für die Geschwindigkeit in einer
+      gleichmäßig beschleunigten Bewegung zu berechnen.
+
+      Stattdessen ist es sinnvoll, die \emph{Geschwindigkeitsänderung\/}
+      innerhalb des Zeitintervalls \lstinline{dt}
+      zur Geschwindigkeitskomponente zu addieren:
+      \lstinline{vy += g * dt;}
+
+      Auch dies erkennt man sehr schnell durch Vergleich mit dem Beispiel-Programm
+      \gitfile{hp}{2023ws/20240118}{gtk-13.c}.
+  \end{enumerate}
+
+  \clearpage
+
+  \vbox to \textheight{\vspace*{-0.5cm}\begin{lstlisting}
+    #include <gtk/gtk.h>
+
+    #define WIDTH 320
+    #define HEIGHT 240
+
+    double t = 0.0;
+    double dt = 0.2;
+
+    int r = 5;
+
+    double x = 10;
+    double y = 200;
+    double vx = 20;
+    double vy = -60;
+    double g = 9.81;
+
+    gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+    {
+      GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+
+      gdk_cairo_set_source_rgba (c, &blue);
+      cairo_arc (c, x, y, r, 0, 2 * G_PI);
+      cairo_fill (c);
+
+      return FALSE;
+    }
+
+    gboolean timer (GtkWidget *widget)
+    {
+      t += dt;
+      x += vx * dt;
+      y += vy * dt;
+      vx = vx;
+      vy = 0.5 * g * (t * t);
+      if (y + r >= HEIGHT)
+        vy = -vy * 0.9;
+      if (x + r >= WIDTH)
+        vx = -vx * 0.9;
+      if (x - r <= 0)
+        vx = -vx * 0.9;
+      gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+      g_timeout_add (50, (GSourceFunc) timer, widget);
+      return FALSE;
+    }
+
+    int main (int argc, char **argv)
+    {
+      gtk_init (&argc, &argv);
+
+      GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+      gtk_widget_show (window);
+      gtk_window_set_title (GTK_WINDOW (window), "Hello");
+      g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+      GtkWidget *drawing_area = gtk_drawing_area_new ();
+      gtk_widget_show (drawing_area);
+      gtk_container_add (GTK_CONTAINER (window), drawing_area);
+      gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+      gtk_main ();
+      return 0;
+    }
+  \end{lstlisting}\vss}
+
+\end{document}
diff --git a/20240118/hp-uebung-20240118.pdf b/20240118/hp-uebung-20240118.pdf
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diff --git a/20240118/hp-uebung-20240118.tex b/20240118/hp-uebung-20240118.tex
new file mode 100644
index 0000000..9f3d1e5
--- /dev/null
+++ b/20240118/hp-uebung-20240118.tex
@@ -0,0 +1,315 @@
+% hp-uebung-20240118.pdf - Exercises on Low-Level Programming / Applied Computer Sciences
+% Copyright (C) 2013, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024  Peter Gerwinski
+%
+% This document is free software: you can redistribute it and/or
+% modify it either under the terms of the Creative Commons
+% Attribution-ShareAlike 3.0 License, or under the terms of the
+% GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option)
+% any later version.
+%
+% This document is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+% GNU General Public License for more details.
+%
+% You should have received a copy of the GNU General Public License
+% along with this document.  If not, see <http://www.gnu.org/licenses/>.
+%
+% You should have received a copy of the Creative Commons
+% Attribution-ShareAlike 3.0 Unported License along with this
+% document.  If not, see <http://creativecommons.org/licenses/>.
+
+% README: Einfach und doppelt verkettete Listen, ternärer Baum, hüpfender Ball
+
+\documentclass[a4paper]{article}
+
+\usepackage{pgscript}
+\usepackage{tikz}
+
+\begin{document}
+
+  \thispagestyle{empty}
+
+  \section*{Hardwarenahe Programmierung\\
+            Übungsaufgaben -- 18.\ Januar 2024}
+
+  Diese Übung enthält Punkteangaben wie in einer Klausur.
+  Um zu "`bestehen"', müssen Sie innerhalb von 60 Minuten
+  unter Verwendung ausschließlich zugelassener Hilfsmittel
+  18 Punkte (von insgesamt \totalpoints) erreichen.
+
+  \exercise{Einfach und doppelt verkettete Listen}
+
+  Das Beispiel-Programm \gitfile{hp}{2023ws/20240118}{aufgabe-1.c}
+  demonstriert zwei Funktionen zur Verwaltung einfach verketteter Listen:
+  \lstinline{output_list()} zum Ausgeben der Liste auf den Bildschirm und
+  \lstinline{insert_into_list()} zum Einfügen in die Liste.
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      Ergänzen Sie eine Funktion \lstinline{delete_from_list()}
+      zum Löschen eines Elements aus der Liste
+      mit Freigabe des Speicherplatzes.
+      \points{5}
+    \item
+      Ergänzen Sie eine Funktion \lstinline{reverse_list()}
+      die die Reihenfolge der Elemente in der Liste umdreht.\\
+      \points{3}
+  \end{enumerate}
+
+  Eine doppelt verkettete Liste hat in jedem Knotenpunkt (\lstinline{node})
+  \emph{zwei\/} Zeiger -- einen auf das nächste Element (\lstinline{next})
+  und einen auf das vorherige Element (z.\,B.\ \lstinline{prev} für "`previous"').
+  Dadurch ist es leichter als bei einer einfach verketteten Liste,
+  die Liste in umgekehrter Reihenfolge durchzugehen.
+
+  \begin{quote}
+    \begin{tikzpicture}
+      \color{blendedblue}
+      \node(first) at (0,3.5) {first};
+      \node(NULL1) at (-1,1.25) {NULL};
+      \node[shape=rectangle,draw,line width=1pt](3) at (1,2) {3};
+      \node[shape=rectangle,draw,line width=1pt](7) at (3,2) {7};
+      \node[shape=rectangle,draw,line width=1pt](137) at (5,2) {137};
+      \node(NULL2) at (7,2.75) {NULL};
+      \draw[-latex](first)--(3);
+      \draw[-latex](3) to[out=45,in=135] (7);
+      \draw[-latex](3) to[out=-135,in=0] (NULL1);
+      \draw[-latex](7) to[out=-135,in=-45] (3);
+      \draw[-latex](7) to[out=45,in=135] (137);
+      \draw[-latex](137) to[out=-135,in=-45] (7);
+      \draw[-latex](137) to[out=45,in=180] (NULL2);
+    \end{tikzpicture}
+  \end{quote}
+
+  Der Rückwärts-Zeiger (\lstinline{prev}) des ersten Elements zeigt,
+  genau wie der Vorwärts-Zeiger (\lstinline{next}) des letzten Elements,
+  auf \emph{nichts}, hat also den Wert \lstinline{NULL}.
+
+  \begin{enumerate}[\quad(a)]\setcounter{enumi}{2}
+    \item
+      Schreiben Sie das Programm um für doppelt verkettete Listen.
+      \points{5}
+  \end{enumerate}
+
+  \vspace{3cm}
+
+  \exercise{Ternärer Baum}
+
+  Der in der Vorlesung vorgestellte \newterm{binäre Baum\/}
+  ist nur ein Spezialfall;
+  im allgemeinen können Bäume auch mehr als zwei Verzweigungen
+  pro Knotenpunkt haben.
+  Dies ist nützlich bei der Konstruktion \emph{balancierter Bäume},
+  also solcher, die auch im \emph{Worst Case\/}
+  nicht zu einer linearen Liste entarten,
+  sondern stets eine -- möglichst flache -- Baumstruktur behalten.
+
+  Wir betrachten einen Baum mit bis zu drei Verzweigungen pro Knotenpunkt,
+  einen sog.\ \newterm{ternären Baum}.
+  Jeder Knoten enthält dann nicht nur einen,
+  sondern \emph{zwei\/} Werte als Inhalt:
+  \begin{lstlisting}
+    typedef struct node
+    {
+      int content_left, content_right;
+      struct node *left, *middle, *right;
+    } node;
+  \end{lstlisting}
+
+  Wir konstruieren nun einen Baum nach folgenden Regeln:
+  \vspace{-\medskipamount}
+  \begin{itemize}\itemsep0pt
+    \item
+      Innerhalb eines Knotens sind die Werte sortiert:
+      \lstinline{content_left} muß stets kleiner sein als \lstinline{content_right}.
+    \item
+      Der Zeiger \lstinline{left} zeigt auf Knoten,
+      deren enthaltene Werte durchweg kleiner sind als \lstinline{content_left}.
+    \item
+      Der Zeiger \lstinline{right} zeigt auf Knoten,
+      deren enthaltene Werte durchweg größer sind als \lstinline{content_right}.
+    \item
+      Der Zeiger \lstinline{middle} zeigt auf Knoten,
+      deren enthaltene Werte durchweg größer sind als \lstinline{content_left},
+      aber kleiner als \lstinline{content_right}.
+    \item
+      Ein Knoten muß nicht immer mit zwei Werten voll besetzt sein;
+      er darf auch \emph{nur einen\/} gültigen Wert enthalten.
+
+      Der Einfachheit halber lassen wir in diesem Beispiel
+      nur positive Zahlen als Werte zu.
+      Wenn ein Knoten nur einen Wert enthält,
+      setzen wir \lstinline{content_right = -1},
+      und der Zeiger \lstinline{middle} wird nicht verwendet.
+    \item
+      Wenn wir neue Werte in den Baum einfügen,
+      werden \emph{zuerst\/} die nicht voll besetzten Knoten aufgefüllt
+      und \emph{danach erst\/} neue Knoten angelegt und Zeiger gesetzt.
+    \item
+      Beim Auffüllen eines Knotens darf nötigenfalls \lstinline{content_left}
+      nach \lstinline{content_right} verschoben werden.
+      Ansonsten werden einmal angelegte Knoten nicht mehr verändert.
+  \end{itemize}
+  \vspace*{-\medskipamount}
+  (In der Praxis dürfen Knoten gemäß speziellen Regeln
+  nachträglich verändert werden,
+  um Entartungen gar nicht erst entstehen zu lassen --
+  siehe z.\,B.\ \url{https://en.wikipedia.org/wiki/2-3_tree}.)
+  \begin{enumerate}[\quad(a)]
+    \item
+      Zeichnen Sie ein Schaubild, das veranschaulicht,
+      wie die Zahlen 7, 137, 3, 5, 6, 42, 1, 2 und 12
+      nacheinander und in dieser Reihenfolge
+      in den oben beschriebenen Baum eingefügt werden
+      -- analog zu den Vortragsfolien (\gitfile{hp}{2023ws/20240118}{hp-20221219.pdf}),
+      Seite 33.
+      \points{3}
+      %
+      % Lösung:
+      %
+      %           7 137
+      %         /   |
+      %      3 5  12 42
+      %     /   \
+      %   1 2    6
+      %
+      % (NULL-Zeiger sind hier nicht dargestellt,
+      % gehören aber dazu.)
+      %
+    \item
+      Dasselbe, aber in der Reihenfolge 
+      2, 7, 42, 12, 1, 137, 5, 6, 3.
+      \points{3}
+      %
+      % Lösung:
+      %
+      %           2 7
+      %         /  |  \
+      %       1   5 6  12 42
+      %         /           \
+      %        3             137
+      %
+      % (NULL-Zeiger sind hier wieder nicht dargestellt,
+      % gehören aber dazu.)
+      %
+    \item
+      Beschreiben Sie in Worten und/oder als C-Quelltext-Fragment,
+      wie eine Funktion aussehen müßte, um den auf diese Weise entstandenen Baum
+      sortiert auszugeben.
+      \points{4}
+  \end{enumerate}
+
+  \vspace{3cm}
+
+  \exercise{Fehlerhaftes Programm: Hüpfender Ball}
+
+  Das auf der nächsten Seite abgedruckte GTK+-Programm
+  (Datei: \gitfile{hp}{2023ws/20240118}{aufgabe-3.c}) soll einen
+  hüpfenden Ball darstellen, ist jedoch fehlerhaft.
+
+  \begin{enumerate}[\quad(a)]
+    \item
+      Warum sieht man lediglich ein leeres Fenster?
+      Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben?
+      \points{3}
+    \item
+      Nach der Fehlerbehebung in Aufgabenteil (a)
+      zeigt das Programm einen unbeweglichen Ball.
+      Welchen Befehl muß man ergänzen, um diesen Fehler zu beheben, und warum?
+      \points{2}
+    \item
+      Erklären Sie das merkwürdige Hüpfverhalten des Balls.
+      Wie kommt es zustande?
+      Was an diesem Verhalten ist korrekt, und was ist fehlerhaft? \points{5}
+    \item
+      Welche Befehle muß man in welcher Weise ändern,
+      um ein realistischeres Hüpf-Verhalten zu bekommen? \points{2}
+  \end{enumerate}
+
+  Hinweis: Das Hinzuziehen von Beispiel-Programmen aus der Vorlesung
+  ist ausdrücklich erlaubt -- auch in der Klausur.
+
+  Allgemeiner Hinweis:
+  Wenn Sie die Übungsaufgaben zu dieser Lehrveranstaltung
+  als PDF-Datei betrachten und darin auf die Dateinamen klicken,
+  können Sie die Beispiel-Programme direkt herunterladen.
+  Dadurch vermeiden Sie Übertragungsfehler.
+
+  \clearpage
+
+  \vbox to \textheight{\vspace*{-0.5cm}\begin{lstlisting}
+    #include <gtk/gtk.h>
+
+    #define WIDTH 320
+    #define HEIGHT 240
+
+    double t = 0.0;
+    double dt = 0.2;
+
+    int r = 5;
+
+    double x = 10;
+    double y = 200;
+    double vx = 20;
+    double vy = -60;
+    double g = 9.81;
+
+    gboolean draw (GtkWidget *widget, cairo_t *c, gpointer data)
+    {
+      GdkRGBA blue = { 0.0, 0.5, 1.0, 1.0 };
+
+      gdk_cairo_set_source_rgba (c, &blue);
+      cairo_arc (c, x, y, r, 0, 2 * G_PI);
+      cairo_fill (c);
+
+      return FALSE;
+    }
+
+    gboolean timer (GtkWidget *widget)
+    {
+      t += dt;
+      x += vx * dt;
+      y += vy * dt;
+      vx = vx;
+      vy = 0.5 * g * (t * t);
+      if (y + r >= HEIGHT)
+        vy = -vy * 0.9;
+      if (x + r >= WIDTH)
+        vx = -vx * 0.9;
+      if (x - r <= 0)
+        vx = -vx * 0.9;
+      gtk_widget_queue_draw_area (widget, 0, 0, WIDTH, HEIGHT);
+      g_timeout_add (50, (GSourceFunc) timer, widget);
+      return FALSE;
+    }
+
+    int main (int argc, char **argv)
+    {
+      gtk_init (&argc, &argv);
+
+      GtkWidget *window = gtk_window_new (GTK_WINDOW_TOPLEVEL);
+      gtk_widget_show (window);
+      gtk_window_set_title (GTK_WINDOW (window), "Hello");
+      g_signal_connect (window, "destroy", G_CALLBACK (gtk_main_quit), NULL);
+
+      GtkWidget *drawing_area = gtk_drawing_area_new ();
+      gtk_widget_show (drawing_area);
+      gtk_container_add (GTK_CONTAINER (window), drawing_area);
+      gtk_widget_set_size_request (drawing_area, WIDTH, HEIGHT);
+
+      gtk_main ();
+      return 0;
+    }
+  \end{lstlisting}\vss}\vspace*{-1cm}
+
+  \begin{flushright}
+    \textit{Viel Erfolg -- auch in den Prüfungen!}
+  \end{flushright}
+
+  \makeatletter
+    \immediate\write\@mainaux{\string\gdef\string\totalpoints{\arabic{points}}}
+  \makeatother
+
+\end{document}
diff --git a/20240118/loesung-1a.c b/20240118/loesung-1a.c
new file mode 100644
index 0000000..93f5e56
--- /dev/null
+++ b/20240118/loesung-1a.c
@@ -0,0 +1,69 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+typedef struct node
+{
+  int content;
+  struct node *next;
+} node;
+
+void output_list (node *first)
+{
+  for (node *p = first; p; p = p->next)
+    printf ("%d ", p->content);
+  printf ("\n");
+}
+
+void insert_into_list (node *what, node *where)
+{
+  what->next = where->next;
+  where->next = what;
+}
+
+void delete_from_list (node *what, node **first)
+{
+  if (what == *first)
+    *first = what->next;
+  else
+    {
+      node *p = *first;
+      while (p && p->next != what)
+        p = p->next;
+      if (p)
+        p->next = what->next;
+    }
+  free (what);
+}
+
+int main (void)
+{
+  node *element3 = malloc (sizeof (node));
+  node *element7 = malloc (sizeof (node));
+  node *element137 = malloc (sizeof (node));
+
+  element3->content = 3;
+  element7->content = 7;
+  element137->content = 137;
+
+  node *first = element3;
+  element3->next = element7;
+  element7->next = element137;
+  element137->next = NULL;
+
+  output_list (first);
+
+  node *element5 = malloc (sizeof (node));
+  element5->content = 5;
+  insert_into_list (element5, element3);
+
+  output_list (first);
+
+  delete_from_list (element5, &first);
+  output_list (first);
+  delete_from_list (element3, &first);
+  output_list (first);
+  delete_from_list (element137, &first);
+  output_list (first);
+
+  return 0;
+}
diff --git a/20240118/loesung-1b.c b/20240118/loesung-1b.c
new file mode 100644
index 0000000..811b99b
--- /dev/null
+++ b/20240118/loesung-1b.c
@@ -0,0 +1,97 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+typedef struct node
+{
+  int content;
+  struct node *next, *prev;
+} node;
+
+void check_list (node *first)
+{
+  for (node *p = first; p; p = p->next)
+    {
+      if (p->next && p->next->prev != p)
+        fprintf (stderr, "List inconsistency!\n");
+      if (p->prev && p->prev->next != p)
+        fprintf (stderr, "List inconsistency!\n");
+    }
+}
+
+void output_list (node *first)
+{
+  for (node *p = first; p; p = p->next)
+    printf ("%d ", p->content);
+  printf ("\n");
+}
+
+void insert_into_list (node *what, node *where)
+{
+  what->next = where->next;
+  if (where->next)
+    where->next->prev = what;
+  what->prev = where;
+  where->next = what;
+}
+
+void delete_from_list (node *what, node **first)
+{
+  if (what == *first)
+    {
+      *first = what->next;
+      if (*first)
+        (*first)->prev = NULL;
+    }
+  else
+    {
+      node *p = *first;
+      while (p && p->next != what)
+        p = p->next;
+      if (p)
+        p->next = what->next;
+      if (what->next)
+        what->next->prev = p;
+    }
+  free (what);
+}
+
+int main (void)
+{
+  node *element3 = malloc (sizeof (node));
+  node *element7 = malloc (sizeof (node));
+  node *element137 = malloc (sizeof (node));
+
+  element3->content = 3;
+  element7->content = 7;
+  element137->content = 137;
+
+  node *first = element3;
+  element3->prev = NULL;
+  element3->next = element7;
+  element7->prev = element3;
+  element7->next = element137;
+  element137->prev = element7;
+  element137->next = NULL;
+
+  output_list (first);
+  check_list (first);
+
+  node *element5 = malloc (sizeof (node));
+  element5->content = 5;
+  insert_into_list (element5, element3);
+
+  output_list (first);
+  check_list (first);
+
+  delete_from_list (element5, &first);
+  output_list (first);
+  check_list (first);
+  delete_from_list (element3, &first);
+  output_list (first);
+  check_list (first);
+  delete_from_list (element137, &first);
+  output_list (first);
+  check_list (first);
+
+  return 0;
+}
diff --git a/20240118/loesung-2c.c b/20240118/loesung-2c.c
new file mode 100644
index 0000000..a6dea99
--- /dev/null
+++ b/20240118/loesung-2c.c
@@ -0,0 +1,68 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+typedef struct node
+{
+  int content_left, content_right;
+  struct node *left, *middle, *right;
+} node;
+
+void insert_into_tree (node **root, int value)
+{
+  if (*root)
+    {
+      if ((*root)->content_right >= 0)
+        if (value < (*root)->content_left)
+          insert_into_tree (&(*root)->left, value);
+        else if (value < (*root)->content_right)
+          insert_into_tree (&(*root)->middle, value);
+        else
+          insert_into_tree (&(*root)->right, value);
+      else
+        if (value < (*root)->content_left)
+          {
+            (*root)->content_right = (*root)->content_left;
+            (*root)->content_left = value;
+          }
+        else
+          (*root)->content_right = value;
+    }
+  else
+    {
+      *root = malloc (sizeof (node));
+      (*root)->left = NULL;
+      (*root)->content_left = value;
+      (*root)->middle = NULL;
+      (*root)->content_right = -1;
+      (*root)->right = NULL;
+    }
+}
+
+void output_tree (node *root)
+{
+  if (root)
+    {
+      output_tree (root->left);
+      printf ("%d\n", root->content_left);
+      output_tree (root->middle);
+      if (root->content_right >= 0)
+        printf ("%d\n", root->content_right);
+      output_tree (root->right);
+    }
+}
+
+int main (void)
+{
+  node *root = NULL;
+  insert_into_tree (&root, 7);
+  insert_into_tree (&root, 137);
+  insert_into_tree (&root, 3);
+  insert_into_tree (&root, 5);
+  insert_into_tree (&root, 6);
+  insert_into_tree (&root, 42);
+  insert_into_tree (&root, 1);
+  insert_into_tree (&root, 2);
+  insert_into_tree (&root, 12);
+  output_tree (root);
+  return 0;
+}
diff --git a/20240118/loesung-3b-gpt.c b/20240118/loesung-3b-gpt.c
new file mode 100644
index 0000000..467813b
--- /dev/null
+++ b/20240118/loesung-3b-gpt.c
@@ -0,0 +1,27 @@
+#include <stdio.h>
+
+int sum; // globale Variable für die Summe
+
+void add_to_sum (int x)
+{
+  if (x > 0)
+    {
+      sum += x;
+    }
+}
+
+void foreach (int *a, void (*fun) (int x))
+{
+  for (int *p = a; *p >= 0; p++)
+    {
+      fun (*p);
+    }
+}
+
+int main (void)
+{
+  int numbers[] = { 12, 17, 32, 1, 3, 16, 19, 18, -1 };
+  foreach (numbers, add_to_sum);
+  printf ("Summe der positiven Zahlen: %d\n", sum);
+  return 0;
+}
diff --git a/20240118/logo-hochschule-bochum-cvh-text-v2.pdf b/20240118/logo-hochschule-bochum-cvh-text-v2.pdf
new file mode 120000
index 0000000..4aa99b8
--- /dev/null
+++ b/20240118/logo-hochschule-bochum-cvh-text-v2.pdf
@@ -0,0 +1 @@
+../common/logo-hochschule-bochum-cvh-text-v2.pdf
\ No newline at end of file
diff --git a/20240118/logo-hochschule-bochum.pdf b/20240118/logo-hochschule-bochum.pdf
new file mode 120000
index 0000000..b6b9491
--- /dev/null
+++ b/20240118/logo-hochschule-bochum.pdf
@@ -0,0 +1 @@
+../common/logo-hochschule-bochum.pdf
\ No newline at end of file
diff --git a/20240118/pgscript.sty b/20240118/pgscript.sty
new file mode 120000
index 0000000..95c8884
--- /dev/null
+++ b/20240118/pgscript.sty
@@ -0,0 +1 @@
+../common/pgscript.sty
\ No newline at end of file
diff --git a/20240118/pgslides.sty b/20240118/pgslides.sty
new file mode 120000
index 0000000..5be1416
--- /dev/null
+++ b/20240118/pgslides.sty
@@ -0,0 +1 @@
+../common/pgslides.sty
\ No newline at end of file
diff --git a/README.md b/README.md
index ade2427..627ad22 100644
--- a/README.md
+++ b/README.md
@@ -30,6 +30,7 @@ Vortragsfolien und Beispiele:
  * [14.12.2023: Objektorientierte Programmierung](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231214/hp-20231214.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20231214/)
  * [04.01.2024: Dunkle Materie und angewandte hardwarenahe Programmierung](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240104/hp-20240104.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20240104/)
  * [11.01.2024: Datenstrukturen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240111/hp-20240111.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20240111/)
+ * [18.01.2024: Datenstrukturen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240118/hp-20240118.pdf) [**(Beispiele)**](https://gitlab.cvh-server.de/pgerwinski/hp/tree/2023ws/20240118/)
  * [alle in 1 Datei](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/hp-slides-2023ws.pdf)
 
 Übungsaufgaben:
@@ -46,6 +47,7 @@ Vortragsfolien und Beispiele:
  * [07.12.2023: Länge von Strings, Einfügen in Strings (Ergänzung)](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231207/hp-uebung-20231207.pdf)
  * [14.12.2023: dynamisches Bit-Array, objektorientierte Tier-Datenbank](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231214/hp-uebung-20231214.pdf)
  * [11.01.2024: Objektorientierte Tier-Datenbank (Ergänzung), Iterationsfunktionen, Stack-Operationen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240111/hp-uebung-20240111.pdf)
+ * [18.01.2024: Einfach und doppelt verkettete Listen, ternärer Baum, hüpfender Ball](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240118/hp-uebung-20240118.pdf)
 
 Musterlösungen:
 ---------------
@@ -60,6 +62,7 @@ Musterlösungen:
  * [07.12.2023: Länge von Strings, Einfügen in Strings (Ergänzung)](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231207/hp-musterloesung-20231207.pdf)
  * [14.12.2023: dynamisches Bit-Array, objektorientierte Tier-Datenbank](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20231214/hp-musterloesung-20231214.pdf)
  * [11.01.2024: Objektorientierte Tier-Datenbank (Ergänzung), Iterationsfunktionen, Stack-Operationen](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240111/hp-musterloesung-20240111.pdf)
+ * [18.01.2024: Einfach und doppelt verkettete Listen, ternärer Baum, hüpfender Ball](https://gitlab.cvh-server.de/pgerwinski/hp/raw/2023ws/20240118/hp-musterloesung-20240118.pdf)
 
 Praktikumsunterlagen:
 ---------------------
diff --git a/hp-slides-2023ws.pdf b/hp-slides-2023ws.pdf
index afca7691e231f4ad3011c55fda89c0fc650751ca..36508d365b4da7cc2da3a38a1822027f228c5c9a 100644
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diff --git a/hp-slides-2023ws.tex b/hp-slides-2023ws.tex
index cb0aaea..13b12ff 100644
--- a/hp-slides-2023ws.tex
+++ b/hp-slides-2023ws.tex
@@ -37,4 +37,6 @@
   \includepdf[pages=-]{20240104/hp-20240104.pdf}
   \pdfbookmark[1]{11.01.2024: Datenstrukturen}{20240111}
   \includepdf[pages=-]{20240111/hp-20240111.pdf}
+  \pdfbookmark[1]{18.01.2024: Datenstrukturen}{20240118}
+  \includepdf[pages=-]{20240118/hp-20240118.pdf}
 \end{document}
-- 
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