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a/1-Runde/Aufgabe3/Dokumentation.tex b/1-Runde/Aufgabe3/Dokumentation.tex new file mode 100644 index 0000000..18584ae --- /dev/null +++ b/1-Runde/Aufgabe3/Dokumentation.tex @@ -0,0 +1,525 @@ +\documentclass[a4paper,10pt,ngerman]{scrartcl} +\usepackage{babel} +\usepackage[T1]{fontenc} +\usepackage[utf8x]{inputenc} +\usepackage[a4paper,margin=2.5cm,footskip=0.5cm]{geometry} + +% Die nächsten vier Felder bitte anpassen: +\newcommand{\Aufgabe}{Aufgabe 3: Zauberschule} % Aufgabennummer und Aufgabennamen angeben +\newcommand{\TeamId}{00988} % Team-ID aus dem PMS angeben +\newcommand{\TeamName}{BitShifter} % Team-Namen angeben +\newcommand{\Namen}{Filip Zelinskyi} % Namen der Bearbeiter/-innen dieser Aufgabe angeben + +% Kopf- und Fußzeilen +\usepackage{scrlayer-scrpage, lastpage} +\setkomafont{pageheadfoot}{\large\textrm} +\lohead{\Aufgabe} +\rohead{Team-ID: \TeamId} +\cfoot*{\thepage{}/\pageref{LastPage}} + +% Position des Titels +\usepackage{titling} +\setlength{\droptitle}{-1.0cm} + +% Für mathematische Befehle und Symbole +\usepackage{amsmath} +\usepackage{amssymb} + +% Für Bilder +\usepackage{graphicx} + +% Für Algorithmen +\usepackage{algorithm} +\usepackage{algpseudocode} +\algnewcommand{\algorithmicand}{\textbf{ and }} +\algnewcommand{\algorithmicor}{\textbf{ or }} +\algnewcommand{\OR}{\algorithmicor} +\algnewcommand{\AND}{\algorithmicand} +\algnewcommand{\var}{\texttt} +\renewcommand{\algorithmiccomment}[1]{\hfill$\triangleright$\textit{#1}} + +% Für Quelltext +\usepackage{listings} +\usepackage{color} +\definecolor{mygreen}{rgb}{0,0.6,0} +\definecolor{mygray}{rgb}{0.5,0.5,0.5} +\definecolor{mymauve}{rgb}{0.58,0,0.82} +\lstset{ + keywordstyle=\color{blue},commentstyle=\color{mygreen}, + stringstyle=\color{mymauve},rulecolor=\color{black}, + basicstyle=\footnotesize\ttfamily,numberstyle=\tiny\color{mygray}, + captionpos=b, % sets the caption-position to bottom + keepspaces=true, % keeps spaces in text + numbers=left, numbersep=5pt, showspaces=false,showstringspaces=true, + showtabs=false, stepnumber=2, tabsize=2, title=\lstname +} +\lstdefinelanguage{JavaScript}{ % JavaScript ist als einzige Sprache noch nicht vordefiniert + keywords={break, case, catch, continue, debugger, default, delete, do, else, finally, for, function, if, in, instanceof, new, return, switch, this, throw, try, typeof, var, void, while, with}, + morecomment=[l]{//}, + morecomment=[s]{/*}{*/}, + morestring=[b]', + morestring=[b]", + sensitive=true +} + +% Diese beiden Pakete müssen zuletzt geladen werden +%\usepackage{hyperref} % Anklickbare Links im Dokument +\usepackage{cleveref} + +% Daten für die Titelseite +\title{\textbf{\Huge\Aufgabe}} +\author{\LARGE Team-ID: \LARGE \TeamId \\\\ + \LARGE Team-Name: \LARGE \TeamName \\\\ + \LARGE Bearbeiter dieser Aufgabe: \\ + \LARGE \Namen\\\\} +\date{\LARGE\today} + +\begin{document} + +\maketitle +\tableofcontents + +\vspace{0.5cm} + +\section{Abstract} + +%In der Aufgabe sind zwei exakt übereinander liegende Labyrinthe gegeben. Auf einer der Ebenen ist ein Startpunkt A und ein Zielpunkt B markiert. Man darf sich in alle vier Himmelsrichtungen sowie nach oben und unten bewegen, sofern keine Wand oder die Grenze der Karte im Weg ist. Die Bewegung auf der gleichen Ebene kostet eine Sekunde, der Etagenwechsel an derselben Stelle kostet drei Sekunden. Die Aufgabe ist es, vom Punkt A zum Punkt B mit minimalen Kosten zu gelangen. + +Die Lösung basiert auf einem Algorithmus A*, der für die Suche nach dem kürzesten Weg in einem dreidimensionalen Labyrinth angepasst wurde. + +In diesem Dokument wird der Lösungsansatz beschrieben, die Umsetzung auf C++ erläutert und die Lösungen für die Beispiele vorgestellt. + +\section{Lösungsidee} +% BFS wegstreichen, mit Djkstra anfangen +% + +Das Problem lässt sich zur Vereinfachung zunächst auf die bekannten Algorithmen für das Finden des kürzesten Weges in einem zweidimensionalen Labyrinth reduzieren. + +% Besser mathematisch beschreiben +Ein Labyrinth kann als gewichteter Graph dargestellt werden, wobei jedes freie Feld einem Knoten entspricht und jede Verbindung zwischen benachbarten Feldern (außer Wänden) einer Kante entspricht. In einem zweidimensionalen Labyrinth beträgt das Gewicht jeder Kante 1. + +Um einen Weg durch das Labyrinth zu finden, können wir verschiedene Algorithmen verwenden. Der Breadth-First Search (BFS) Algorithmus ist eine Möglichkeit, aber er ist nicht sehr effizient für die gezielte Pfadsuche und berücksichtigt keine Gewichte. + +Eine bessere Option könnte der Dijkstra-Algorithmus sein, der die Kosten für jedes Feld berechnet und Wege mit geringeren Kosten bevorzugt. Allerdings breitet sich dieser Algorithmus in alle Richtungen aus und verschwendet Zeit für unwahrscheinliche Lösungen. + +Wenn wir nur einen Zielpunkt haben, können wir den A*-Algorithmus verwenden, der eine heuristische, gezielte Suche durchführt und effizienter ist als der Dijkstra-Algorithmus. + +Wenn wir das Problem auf ein dreidimensionales Labyrinth erweitern wollen, können wir eine zusätzliche Koordinate z einführen, die die Ebene des Knotens darstellt. Das Gewicht der Kante zwischen einem Punkt (x, y, z) und einem anderen Punkt (x, y, z+1) oder (x, y, z-1) wird als 3 Sekunden festgelegt. +\section{Umsetzung} + +Zunächst möchte ich einige neue Code-Strukturen definieren, die oft bei der Implementierung verwendet werden. Dies umfasst die Struktur eines 3D-Punktes, die Darstellung eines Punkteintrags in der Warteschlange mit einer zugehörigen Priorität sowie die Repräsentation des Labyrinths in Form einer dreidimensionalen Matrix. Gemäß den Anforderungen der Aufgabenstellung bleibt die Tiefe ($DEPTH$) stets konstant bei 2. + +\begin{algorithm} +\begin{algorithmic} +\Require{DEPTH: 2, ROW: int, COL: int} \Comment{Größe des Feldes aus der Eingabe} +\State $\textbf{type}$ Point $\gets (x: int, y: int, z: int)$ +\State $\textbf{type}$ PriorityPoint $\gets (point: Point, priority: int)$ +\State $\textbf{type}$ LabyrinthMatrix $\gets array_{DEPTH,ROW,COL}$ +\end{algorithmic} +\end{algorithm} + +\vspace{0.5cm} + +Der Suchalgorithmus benötigt fortlaufend Informationen über die möglichen Auswege zu naheliegenden Feldern im Labyrinth, beziehungsweise die ausgehenden Verbindungen zu anderen Knoten. +Hierzu wird für alle sechs möglichen Fälle zu den aktuellen Koordinaten der entsprechende Offset hinzugefügt, um die Koordinaten des benachbarten Punktes zu erhalten. Anschließend wird der benachbarte Punkt daraufhin überprüft, ob er sich innerhalb der Grenzen der Karte befindet und ob es sich nicht um eine Wand handelt. + +\begin{algorithm} + \caption{Finde alle Nachbarn von dem Punkt im Matrix} + \begin{algorithmic} + \State $offsetX \gets \{0, 0, -1, 1, 0 ,0\}$ + \Comment{Sechs mögliche Fälle von Nachbarn} + \State $offsetY \gets \{-1, 1, 0, 0, 0, 0\}$ + \State $offsetZ \gets \{0, 0, 0, 0, 1, -1\}$ + + \Function{IsValid}{x, y, z} + \State \Return $(y \geq 0)$ \AND $y < ROW$ \AND $(x \geq 0)$ \AND $x < COL$ \AND $(z \geq 0)$ \AND $(z < DEPTH)$ + \EndFunction + + \Function{GetNeighbors}{$mat: \ \textbf{LabyrinthMatrix}$, $point: \ \textbf{Point}$} + \State $result \gets array(Point)$ + \For{alle sechs mögliche Seiten} + \State $x \gets point.x + offsetX[i]$ + \State $y \gets point.y + offsetY[i]$ + \State $z \gets point.z + offsetZ[i]$ + \If{$\textbf{IsValid}(x, y, z)$ \AND $mat[z][y][x] \neq \#$} + \Comment{Innerhalb Grenzen der Karte und nicht eine Wand} + \State $result.push(\{x, y, z\}$ + \EndIf + \EndFor + \State \Return $result$ + \EndFunction + \end{algorithmic} +\end{algorithm} +\vspace{0.5cm} + +Die Funktion \textbf{$Heuristik$} gibt an, wie nahe der Punkt $A$ dem Punkt $B$ ist. Diese Information ist entscheidend für die gezielte Suche nach dem Zielpunkt (Finish-Knoten). + +\begin{algorithm} + \caption{Berechne die Heuristik für zwei Knoten} + \begin{algorithmic} + \Function{Heuristic}{$a: \ \textbf{Point}$, $b: \ \textbf{Point}$} + \State \Return $abs(a.x - b.x)$ + $abs(a.y - b.y)$ + $abs(a.z - b.z)$ + \EndFunction + \end{algorithmic} +\end{algorithm} +\vspace{0.5cm} + +Die Funktion \textbf{$GetCost$} ermittelt das Gewicht der Kante zwischen Punkt $A$ und Punkt $B$. Wenn sich die Punkte auf derselben Ebene befinden, beträgt das Gewicht \textbf{eine Sekunde}, andernfalls \textbf{drei Sekunden}. + +\begin{algorithm} + \caption{Berechne die Kosten für den Übergang vom Punkt $A$ zum Punkt $B$} + \begin{algorithmic} + \Function{GetCost}{$a: \ \textbf{Point}$, $b: \ \textbf{Point}$} + \If{$a.z = b.z$} + \State \Return $1$ + \Else + \State \Return $3$ + \EndIf + \EndFunction + \end{algorithmic} +\end{algorithm} + +Der Hauptalgorithmus zur Pfadsuche ist eine modifizierte Implementierung des A*-Algorithmus, der auf 3D erweitert wurde und für die vereinfachte Darstellung des Labyrinths in Form einer Matrix angepasst ist. Dabei werden die noch zu prüfenden Knoten in einer priorisierten Schlange gespeichert. Dies gewährleistet, dass zunächst die wahrscheinlichsten Knoten in Richtung des Ziel-Knotens überprüft werden, wodurch eine schnellere Lösung erreicht werden kann. Die bereits besuchten Knoten und die Kosten für jeden überprüften Knoten werden in einer Hashmap gespeichert. + +Der Algorithmus arbeitet, bis er vom Startpunkt $A$ zum Zielpunkt $B$ gelangt. Alle Nachbarn des ersten Elements in der Schlange werden überprüft. Falls sie noch nicht geprüft wurden, werden sie mit einer entsprechenden Priorität bezüglich der Distanz zum Zielpunkt in die Schlange eingefügt. + +Nachdem die Schleife den Zielpunkt erreicht hat, wird die beste Zeit aus der Hashmap \textbf{costSoFar} ausgelesen, und die Reihenfolge der Koordinaten für die Lösung wird in einem Array gespeichert. Dieses Array dient dann als Grundlage für die Erstellung der Ausgabe. + +\begin{algorithm} + \caption{Suche den Pfad}\label{alg:find_path} + \begin{algorithmic}[5] + \Require{mat: LabyrinthMatrix, start: Point, finish: Point} + \State $frontier \gets \textbf{PriorityQueue}(PriorityPoint)$ + \Comment{Gebiet von Knoten, die überprüft werden müssen} + \State $cameFrom \gets \textbf{HashMap}(Point, Point)$ + \Comment{Zurückgelegte Knoten} + \State $costSoFar \gets \textbf{HashMap}(Point, int)$ + \Comment{Kosten für jeden Knoten} + + \State $frontier.\textbf{Enqueue}(new\ \textbf{PriorityPoint}(start, 0))$ + \Comment{Festlegen von Standardwerten für den Start-Knoten} + \State $cameFrom[start] \gets \{\}$ + \State $costSoFar[start] \gets 0$ + + \While{frontier nicht leer} + \Comment{Im schlimmsten Falle alle Knoten durchgehen} + \State $currentPoint \gets frontier.\textbf{Dequeue()}.point$ + \Comment{Der wahrscheinlichste nächste Knoten} + \If{$current = finish$} + \Comment{Frühzeitiger Stopp, wenn Finish gefunden wurde} + \State $break$ + \EndIf + \For{next of \textbf{GetNeighbors}(mat, current)} + \Comment{Überprüfe alle Nachbarn} + \State $newCost \gets costSoFar[current] + \textbf{GetCost}(current, next)$ + \If{next nicht besucht \OR newCost < costSoFar[next]} + \State $costSoFar[next] \gets newCost$ + \State $frontier.Enqueue(new\ \textbf{PriorityPoint}(next, (newCost + \textbf{Heuristic}(finish, next))))$ + \State $cameFrom[next] \gets current$ + \EndIf + \EndFor + \EndWhile + + \State $bestCost \gets costSoFar[finish]$ + \State $solution \gets \textbf{GetSolutionPath}(cameFrom, start, finish)$ + \Comment{Liste von Punkten, die vom Start zum Finish führen} + \end{algorithmic} +\end{algorithm} + +\newpage +\section{Beispiele} +Für die Art und Weise der Ausgabe des gefundenen Pfades wurde das Beispiel von der BwInf-Webseite übernommen. +Die Pfade für die Beispiele 4 und 5 wurden im Ordner "results" gespeichert. + + +\subsection*{Zauberschule 0} +\begin{lstlisting}[language=C++] +cat examples/zauberschule0.txt | ./a.out +Beste Zeit: 8 +############# +#.....#.....# +#.###.#.###.# +#...#.#...#.# +###.#.###.#.# +#...#.....#.# +#.#########.# +#.....#.....# +#####.#.###.# +#....!#B..#.# +#.#########.# +#...........# +############# +############# +#.......#...# +#...#.#.#...# +#...#.#.....# +#.###.#.#.### +#.....#.#...# +#####.###...# +#.....#.....# +#.#########.# +#...#>>!....# +#.#.#.#.###.# +#.#...#...#.# +############# +\end{lstlisting} + +\subsection*{Zauberschule 1} +\begin{lstlisting}[language=C++] +cat examples/zauberschule1.txt | ./a.out +Beste Zeit: 4 +##################### +#...#.....#...#.....# +#.#.#.###.#.#.#.###.# +#.#.#...#.#.#...#...# +###.###.#.#.#####.### +#.#.#...#.#B....#...# +#.#.#.###.#^###.##### +#.#...#.#.#^<<#.....# +#.#####.#.#########.# +#...................# +##################### +##################### +#.......#.....#.....# +#.###.#.#.###.#.###.# +#.....#.#.#.....#.#.# +#######.#.#######.#.# +#.....#.#.....#...#.# +#.###.#.#.###.###.#.# +#.#.#...#.#...#...#.# +#.#.#######.###.###.# +#...........#.......# +##################### +\end{lstlisting} +\pagebreak + +\subsection*{Zauberschule 2} +\begin{lstlisting}[language=C++] +cat examples/zauberschule2.txt | ./a.out +Beste Zeit: 14 +############################################# +#...#.....#...........#.#...........#.......# +#.#.#.###.#########.#.#.#.#######.#.#.#####.# +#.#.#...#.#.........#>>!#v#.....#.#.#...#...# +###.###.#.#.#############v#.#.###.#.###.#.### +#.#.#...#.#..............>>B#.#...#.#...#.#.# +#.#.#.###.###########.#########.###.#.###.#.# +#.#...#.#.#.........#.#.#.....#.#.....#.#.#.# +#.#####.#.#.#######.#.#.#.###.#.#######.#.#.# +#.....#...#...#.#...#...#.#.#.#.......#.#.#.# +#.#####.#####.#.#.#######.#.#.#######.#.#.#.# +#.....#.......#.#.#.....#.#.#.#...#...#...#.# +#.###.#########.#.###.#.#.#.#.#.#.#.###.###.# +#...#.................#...#.....#...#.......# +############################################# +############################################# +#...#.......#.....#.....#...#...#.....#.....# +#.#.#.#####.###.#.###.#.#.#.#.#.#.###.###.### +#.#.#.....#.#...#.....#>>!#.#.#...#.#...#...# +###.#.###.#.#.#############.#.#####.###.###.# +#.#.#...#.#.#.#.....#...#.#.#...#.#...#.#...# +#.#.#####.#.#.#.###.#.#.#.#.#.#.#.#.#.#.#.### +#.#...#...#.#.....#.#.#...#.#.#.#...#.#.#...# +#.###.#.###.#.#####.#.###.#.###.#####.#.###.# +#...#.#.#...#...#...#...#.#...#.#.....#.....# +#.###.#.#.#######.#####.#####.#.#.#.#######.# +#...#...#...#...#.....#.......#.#.#.#.....#.# +#.#.#######.#.#.#####.#.#######.#.###.###.#.# +#.#...........#.......#.........#.......#...# +############################################# +\end{lstlisting} +\pagebreak + +\subsection*{Zauberschule 3} +\begin{lstlisting}[language=C++] +cat examples/zauberschule3.txt | ./a.out +Beste Zeit: 28 +############################### +#...#.....#...........#.......# +#.#.#.###.#.###.#######.###.#.# +#.#.#...#.#.#.#.#.......#...#.# +###.###.#.#.#.#.#.#######.###.# +#.#.#...#.#...#.....#.....#.#.# +#.#.#.###.###########.#####.#.# +#.#...#.#.#.........#...#.....# +#.#####.#.#.#######.###.#.##### +#...#.#...#...#.#...#...#.#...# +#.#.#.#.#####.#.#.###.###.#.#.# +#.#.#.#.......#.#.#...#.#...#.# +#.#.#.#########.#.#.###.#####.# +#.#.......#.#.....#.#.#.....#.# +#.#######.#.#.#####.#.#.###.#.# +#.#.....#...#.#.#...#.#.#.#...# +#.#.###.#####.#.#.#.#.#.#.##### +#.#...#.....#.#.#.#.#...#.....# +#.###.#####.#.#.#.#.###.#####.# +#...#.#...#...#...#...#.......# +#.#.#.#.#############.#.####### +#.#.#.#...............#.#.....# +#.###.#.#######.#########.###.# +#...#.#.#...#...#.........#...# +###.#.###.#.#.###.#####.###.#.# +#...#.....#.#.....#>>B#.#...#.# +#.#########.#######^#.###.###.# +#..v#>>>>v#.#>>>>>>^#...#.#.#.# +#.#v#^###v#.#^#########.#.#.#.# +#.#>>^..#>>>>^#...........#...# +############################### +############################### +#.......#.....#...#...#.......# +#.###.#.#.#.#.#.###.#.#.#.##### +#.....#.#.#.#.#.....#.#.#.....# +#######.#.#.#.#.#####.#.#####.# +#.....#.#.#.#.#.#...#...#.....# +#.###.#.###.#.###.#.#.###.##### +#...#.#.#...#.....#.#.#.#.....# +#.#.###.#.#########.#.#.#####.# +#.#.....#.#.......#.#.....#...# +#.#######.#######.#.#.#####.#.# +#...#...#.....#...#.#.#...#.#.# +###.#.#.#.###.#.###.#.#.#.#.#.# +#.#.#.#...#...#.....#.#.#.#.#.# +#.#.#.#####.###.#######.#.#.#.# +#.#.#.....#.#.....#.....#.#.#.# +#.#.#######.#####.###.###.#.#.# +#.#.....#...#...#.....#.#...#.# +#.#####.#.###.#.#######.#####.# +#.#...#.#.#...#.......#.#.....# +#.#.#.#.#.#.#########.#.#.##### +#...#.#.#.#...#...#.#.#.#.....# +#####.#.#.###.#.#.#.#.#.#####.# +#.....#.#.......#.#.#.#...#...# +#.###.#.#########.#.#.#.#.#.### +#...#.#.....#.#.....#.#.#.#.#.# +#.#.#######.#.#.#####.#.#.#.#.# +#.#.......#.#...#.....#.#...#.# +#.###.#####.#####.#####.#####.# +#...#.............#...........# +############################### +\end{lstlisting} +\pagebreak + +\subsection*{Zauberschule 4} +\begin{lstlisting}[language=C++] +cat examples/zauberschule4.txt | ./a.out +Beste Zeit: 84 +... +\end{lstlisting} + +\subsection*{Zauberschule 5} +\begin{lstlisting}[language=C++] +cat examples/zauberschule5.txt | ./a.out +Beste Zeit: 124 +... +\end{lstlisting} + +\section{Quellcode} + +In diesem Kontext wird die C++20-Version verwendet, um das Verhalten von Vergleichsoperatoren für eigene Strukturen zu definieren. + +\begin{lstlisting}[language=C++] +int ROW, COL, DEPTH = 2; +const int yNum[] = {-1, 1, 0, 0, 0, 0}; +const int xNum[] = {0, 0, -1, 1, 0, 0}; +const int zNum[] = {0, 0, 0, 0, 1, -1}; + +struct Point { + int x; + int y; + int z; + + bool operator==(const Point& other) const { + return x == other.x && y == other.y && z == other.z; + } +}; + +struct PriorityPoint { + Point point; + int priority; + + bool operator<(const PriorityPoint& other) const { + return priority > other.priority; + } +}; + +bool is_valid(int x, int y, int z) { + return (y >= 0) && (y < ROW) && (x >= 0) && (x < COL) && (z >= 0) && + (z < DEPTH); +} + +vector get_neighbors(vector>> mat, Point pt) { + vector result; + for (int i = 0; i < 6; i++) { + int y = pt.y + yNum[i]; + int x = pt.x + xNum[i]; + int z = pt.z + zNum[i]; + if (!is_valid(x, y, z) || mat[z][y][x] == '#') continue; + result.push_back({x, y, z}); + } + return result; +} + +void print_maze(vector>> mat) { + for (int z = 0; z < DEPTH; z++) { + for (int y = 0; y < mat[z].size(); y++) { + for (int x = 0; x < mat[z][y].size(); x++) { + cout << mat[z][y][x]; + } + cout << "\n"; + } + } +} + +int get_cost(Point a, Point b) { return a.z == b.z ? 1 : 3; } + +int heuristic(Point a, Point b) { + return abs(a.x - b.x) + abs(a.y - b.y) + abs(a.z - b.z); +} + +vector get_solution_path(unordered_map came_from, + Point start, Point finish) { + vector path; + Point current = finish; + while (current != start) { + path.push_back(current); + current = came_from[current]; + } + path.push_back(start); + return path; +} + +pair> find_path(vector>> mat, + Point start, Point finish) { + priority_queue frontier; + frontier.push({start, 0}); + + unordered_map came_from; + came_from[start] = {}; + + unordered_map cost_so_far; + cost_so_far[start] = 0; + + while (!frontier.empty()) { + Point current = frontier.top().point; + frontier.pop(); + if (current == finish) break; + for (Point next : get_neighbors(mat, current)) { + int new_cost = cost_so_far[current] + get_cost(current, next); + if (came_from.count(next) == 0 || new_cost < cost_so_far[next]) { + cost_so_far[next] = new_cost; + frontier.push({next, new_cost + heuristic(finish, next)}); + came_from[next] = current; + } + } + } + + int best_cost = cost_so_far[finish]; + vector solution_path = get_solution_path(came_from, start, finish); + + return {best_cost, solution_path}; +} +\end{lstlisting} + + + +\end{document} diff --git a/1-Runde/Aufgabe3/Quelltext/.DS_Store b/1-Runde/Aufgabe3/Quelltext/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5008ddfcf53c02e82d7eee2e57c38e5672ef89f6 GIT binary patch literal 6148 zcmeH~Jr2S!425mzP>H1@V-^m;4Wg<&0T*E43hX&L&p$$qDprKhvt+--jT7}7np#A3 zem<@ulZcFPQ@L2!n>{z**++&mCkOWA81W14cNZlEfg7;MkzE(HCqgga^y>{tEnwC%0;vJ&^%eQ zLs35+`xjp>T0 other.priority; + } +}; + +namespace std { +template <> +struct hash { + size_t operator()(const Point& p) const { + return hash()(p.x) ^ hash()(p.y) ^ hash()(p.z); + } +}; +} // namespace std + +using namespace std; + +bool is_valid(int x, int y, int z) { + return (y >= 0) && (y < ROW) && (x >= 0) && (x < COL) && (z >= 0) && + (z < DEPTH); +} + +const int yNum[] = {-1, 1, 0, 0, 0, 0}; +const int xNum[] = {0, 0, -1, 1, 0, 0}; +const int zNum[] = {0, 0, 0, 0, 1, -1}; + +vector get_neighbors(vector>> mat, Point pt) { + vector result; + for (int i = 0; i < 6; i++) { + int y = pt.y + yNum[i]; + int x = pt.x + xNum[i]; + int z = pt.z + zNum[i]; + if (!is_valid(x, y, z) || mat[z][y][x] == '#') continue; + result.push_back({x, y, z}); + } + return result; +} + +void print_maze(vector>> mat) { + for (int z = 0; z < DEPTH; z++) { + for (int y = 0; y < mat[z].size(); y++) { + for (int x = 0; x < mat[z][y].size(); x++) { + cout << mat[z][y][x]; + } + cout << "\n"; + } + } +} + +int get_cost(Point a, Point b) { return a.z == b.z ? 1 : 3; } + +int heuristic(Point a, Point b) { + return abs(a.x - b.x) + abs(a.y - b.y) + abs(a.z - b.z); +} + +vector get_solution_path(unordered_map came_from, + Point start, Point finish) { + vector path; + Point current = finish; + while (current != start) { + path.push_back(current); + current = came_from[current]; + } + path.push_back(start); + return path; +} + +pair> find_path(vector>> mat, + Point start, Point finish) { + priority_queue frontier; + frontier.push({start, 0}); + + unordered_map came_from; + came_from[start] = {}; + + unordered_map cost_so_far; + cost_so_far[start] = 0; + + while (!frontier.empty()) { + Point current = frontier.top().point; + frontier.pop(); + if (current == finish) break; + for (Point next : get_neighbors(mat, current)) { + int new_cost = cost_so_far[current] + get_cost(current, next); + if (came_from.count(next) == 0 || new_cost < cost_so_far[next]) { + cost_so_far[next] = new_cost; + frontier.push({next, new_cost + heuristic(finish, next)}); + came_from[next] = current; + } + } + } + + int best_cost = cost_so_far[finish]; + vector solution_path = get_solution_path(came_from, start, finish); + + return {best_cost, solution_path}; +} + +void display_solution(vector>> mat, vector path) { + for (int i = path.size() - 2; i >= 0; i--) { + Point cur_point = path[i]; + Point prev_point = path[i + 1]; + char& cur_value = mat[cur_point.z][cur_point.y][cur_point.x]; + char& prev_value = mat[prev_point.z][prev_point.y][prev_point.x]; + if (cur_point.z != prev_point.z) + prev_value = '!'; + else if (cur_point.x > prev_point.x) + prev_value = '>'; + else if (cur_point.x < prev_point.x) + prev_value = '<'; + else if (cur_point.y > prev_point.y) + prev_value = 'v'; + else + prev_value = '^'; + } + + print_maze(mat); +} + +int main() { + cin >> ROW >> COL; + vector>> mat( + DEPTH, vector>(ROW, vector(COL))); + + Point source, dest; + + for (int z = 0; z < DEPTH; z++) { + for (int y = 0; y < ROW; y++) { + for (int x = 0; x < COL; x++) { + cin >> mat[z][y][x]; + if (mat[z][y][x] == 'A') + source = {x, y, z}; + else if (mat[z][y][x] == 'B') + dest = {x, y, z}; + } + } + } + + pair> solution = find_path(mat, source, dest); + cout << "Beste Zeit: " << solution.first << "\n"; + display_solution(mat, solution.second); + + return 0; +} diff --git a/1-Runde/Aufgabe3/examples/zauberschule0.txt b/1-Runde/Aufgabe3/examples/zauberschule0.txt new file mode 100644 index 0000000..b8af772 --- /dev/null +++ b/1-Runde/Aufgabe3/examples/zauberschule0.txt @@ -0,0 +1,27 @@ +Beste Zeit: 8 +############# +#.....#.....# +#.###.#.###.# +#...#.#...#.# +###.#.###.#.# +#...#.....#.# +#.#########.# +#.....#.....# +#####.#.###.# +#....!#B..#.# +#.#########.# +#...........# +############# +############# +#.......#...# +#...#.#.#...# +#...#.#.....# +#.###.#.#.### +#.....#.#...# +#####.###...# +#.....#.....# +#.#########.# +#...#>>!....# +#.#.#.#.###.# +#.#...#...#.# +############# diff --git a/1-Runde/Aufgabe3/examples/zauberschule1.txt b/1-Runde/Aufgabe3/examples/zauberschule1.txt new file mode 100644 index 0000000..0bad659 --- /dev/null +++ b/1-Runde/Aufgabe3/examples/zauberschule1.txt @@ -0,0 +1,25 @@ +11 21 +##################### +#...#.....#...#.....# +#.#.#.###.#.#.#.###.# +#.#.#...#.#.#...#...# +###.###.#.#.#####.### +#.#.#...#.#B....#...# +#.#.#.###.#.###.##### +#.#...#.#.#..A#.....# +#.#####.#.#########.# +#...................# +##################### + +##################### +#.......#.....#.....# +#.###.#.#.###.#.###.# +#.....#.#.#.....#.#.# +#######.#.#######.#.# +#.....#.#.....#...#.# +#.###.#.#.###.###.#.# +#.#.#...#.#...#...#.# +#.#.#######.###.###.# +#...........#.......# +##################### + diff --git a/1-Runde/Aufgabe3/examples/zauberschule2.txt b/1-Runde/Aufgabe3/examples/zauberschule2.txt new file mode 100644 index 0000000..575231f --- /dev/null +++ b/1-Runde/Aufgabe3/examples/zauberschule2.txt @@ -0,0 +1,33 @@ +15 45 +############################################# +#...#.....#...........#.#...........#.......# +#.#.#.###.#########.#.#.#.#######.#.#.#####.# +#.#.#...#.#.........#A..#.#.....#.#.#...#...# +###.###.#.#.#############.#.#.###.#.###.#.### +#.#.#...#.#................B#.#...#.#...#.#.# +#.#.#.###.###########.#########.###.#.###.#.# +#.#...#.#.#.........#.#.#.....#.#.....#.#.#.# +#.#####.#.#.#######.#.#.#.###.#.#######.#.#.# +#.....#...#...#.#...#...#.#.#.#.......#.#.#.# +#.#####.#####.#.#.#######.#.#.#######.#.#.#.# +#.....#.......#.#.#.....#.#.#.#...#...#...#.# +#.###.#########.#.###.#.#.#.#.#.#.#.###.###.# +#...#.................#...#.....#...#.......# +############################################# + +############################################# 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za4@M8u%^sXel{-?-@YknAp88^e 0$} + \State \Return $col - 1$ + \Else + \State \Return $col + 1$ + \EndIf + \EndFunction + \end{algorithmic} +\end{algorithm} + +Die Lösungsfunktion sollte rekursiv bis zur Lichtquelle vordringen und eine Sammlung von relevanten Logikgattern, die die Antwort beeinflussen, in Form einer Funktion ausgeben. + +\begin{algorithmic} + \Function{Solve}{matrix[ROW][COL], x, y} + \If{$x < 0$ \OR $y < 0$ \OR $matrix[y][x] = X$} + \State \Return \FALSE; + \EndIf + \State $cell \gets matrix[y][x]$ + \If{cell beginnt mit $Q$} + \State \Return $QuelleStatus[cell]$ + \ElsIf{$cell = B$} + \State \Return $\textbf{Solve}(matrix, x, y - 1)$ + \ElsIf{$cell = R$} + \State \Return $\textbf{RotBaustein}(\textbf{Solve}(matrix, x, y - 1))$ + \ElsIf{$cell = r$} + \State \Return $\textbf{Solve}(matrix, \textbf{GetBlockPair}(matrix, x, y), y - 1)$ + \ElsIf{$cell = W$} + \State \Return $\textbf{WeissBaustein}(\textbf{Solve}(matrix, x, y - 1), \textbf{Solve}(matrix, \textbf{GetBlockPair}(matrix, x, y), y - 1))$ + \EndIf + \EndFunction + \end{algorithmic} + +\vspace{0.5cm} + +\newpage +\section{Beispiele} + +\subsection*{Nandu 1} +\begin{lstlisting}[language=C++] +cat examples/nandu1.txt | node nandu.js +Q1 Q2 L1 L2 +Aus Aus Ein Ein +Ein Aus Ein Ein +Aus Ein Ein Ein +Ein Ein Aus Aus +\end{lstlisting} + +\subsection*{Nandu 2} +\begin{lstlisting}[language=C++] +cat examples/nandu2.txt | node nandu.js +Q1 Q2 L1 L2 +Aus Aus Aus Ein +Ein Aus Aus Ein +Aus Ein Aus Ein +Ein Ein Ein Aus +\end{lstlisting} + +\subsection*{Nandu 3} +\begin{lstlisting}[language=C++] +cat examples/nandu3.txt | node nandu.js +Q1 Q2 Q3 L1 L2 L3 L4 +Aus Aus Aus Ein Aus Aus Ein +Ein Aus Aus Aus Ein Aus Ein +Aus Ein Aus Ein Aus Ein Ein +Ein Ein Aus Aus Ein Ein Ein +Aus Aus Ein Ein Aus Aus Aus +Ein Aus Ein Aus Ein Aus Aus +Aus Ein Ein Ein Aus Ein Aus +Ein Ein Ein Aus Ein Ein Aus +\end{lstlisting} + +\subsection*{Nandu 4} +\begin{lstlisting}[language=C++] +cat examples/nandu4.txt | node nandu.js +Q1 Q2 Q3 Q4 L1 L2 +Aus Aus Aus Aus Aus Aus +Ein Aus Aus Aus Aus Aus +Aus Ein Aus Aus Ein Aus +Ein Ein Aus Aus Aus Aus +Aus Aus Ein Aus Aus Ein +Ein Aus Ein Aus Aus Ein +Aus Ein Ein Aus Ein Ein +Ein Ein Ein Aus Aus Ein +Aus Aus Aus Ein Aus Aus +Ein Aus Aus Ein Aus Aus +Aus Ein Aus Ein Ein Aus +Ein Ein Aus Ein Aus Aus +Aus Aus Ein Ein Aus Aus +Ein Aus Ein Ein Aus Aus +Aus Ein Ein Ein Ein Aus +Ein Ein Ein Ein Aus Aus +\end{lstlisting} + +\subsection*{Nandu 5} +\begin{lstlisting}[language=C++] +cat examples/nandu5.txt | node nandu.js +Q1 Q2 Q3 Q4 Q5 Q6 L1 L2 L3 L4 L5 +Aus Aus Aus Aus Aus Aus Aus Aus Aus Ein Aus +Ein Aus Aus Aus Aus Aus Ein Aus Aus Ein Aus +Aus Ein Aus Aus Aus Aus Aus Aus Aus Ein Aus +Ein Ein Aus Aus Aus Aus Ein Aus Aus Ein Aus +Aus Aus Ein Aus Aus Aus Aus Aus Aus Ein Aus +Ein Aus Ein Aus Aus Aus Ein Aus Aus Ein Aus +Aus Ein Ein Aus Aus Aus Aus Aus Aus Ein Aus +Ein Ein Ein Aus Aus Aus Ein Aus Aus Ein Aus +Aus Aus Aus Ein Aus Aus Aus Aus Ein Aus Aus +Ein Aus Aus Ein Aus Aus Ein Aus Ein Aus Aus +Aus Ein Aus Ein Aus Aus Aus Aus Ein Aus Aus +Ein Ein Aus Ein Aus Aus Ein Aus Ein Aus Aus +Aus Aus Ein Ein Aus Aus Aus Aus Ein Aus Aus +Ein Aus Ein Ein Aus Aus Ein Aus Ein Aus Aus +Aus Ein Ein Ein Aus Aus Aus Aus Ein Aus Aus +Ein Ein Ein Ein Aus Aus Ein Aus Ein Aus Aus +Aus Aus Aus Aus Ein Aus Aus Aus Aus Ein Ein +Ein Aus Aus Aus Ein Aus Ein Aus Aus Ein Ein +Aus Ein Aus Aus Ein Aus Aus Aus Aus Ein Ein +Ein Ein Aus Aus Ein Aus Ein Aus Aus Ein Ein +Aus Aus Ein Aus Ein Aus Aus Aus Aus Ein Ein +Ein Aus Ein Aus Ein Aus Ein Aus Aus Ein Ein +Aus Ein Ein Aus Ein Aus Aus Aus Aus Ein Ein +Ein Ein Ein Aus Ein Aus Ein Aus Aus Ein Ein +Aus Aus Aus Ein Ein Aus Aus Aus Aus Ein Ein +Ein Aus Aus Ein Ein Aus Ein Aus Aus Ein Ein +Aus Ein Aus Ein Ein Aus Aus Aus Aus Ein Ein +Ein Ein Aus Ein Ein Aus Ein Aus Aus Ein Ein +Aus Aus Ein Ein Ein Aus Aus Aus Aus Ein Ein +Ein Aus Ein Ein Ein Aus Ein Aus Aus Ein Ein +Aus Ein Ein Ein Ein Aus Aus Aus Aus Ein Ein +Ein Ein Ein Ein Ein Aus Ein Aus Aus Ein Ein +Aus Aus Aus Aus Aus Ein Aus Aus Aus Ein Aus +Ein Aus Aus Aus Aus Ein Ein Aus Aus Ein Aus +Aus Ein Aus Aus Aus Ein Aus Aus Aus Ein Aus +Ein Ein Aus Aus Aus Ein Ein Aus Aus Ein Aus +Aus Aus Ein Aus Aus Ein Aus Aus Aus Ein Aus +Ein Aus Ein Aus Aus Ein Ein Aus Aus Ein Aus +Aus Ein Ein Aus Aus Ein Aus Aus Aus Ein Aus +Ein Ein Ein Aus Aus Ein Ein Aus Aus Ein Aus +Aus Aus Aus Ein Aus Ein Aus Aus Ein Aus Aus +Ein Aus Aus Ein Aus Ein Ein Aus Ein Aus Aus +Aus Ein Aus Ein Aus Ein Aus Aus Ein Aus Aus +Ein Ein Aus Ein Aus Ein Ein Aus Ein Aus Aus +Aus Aus Ein Ein Aus Ein Aus Aus Ein Aus Aus +Ein Aus Ein Ein Aus Ein Ein Aus Ein Aus Aus +Aus Ein Ein Ein Aus Ein Aus Aus Ein Aus Aus +Ein Ein Ein Ein Aus Ein Ein Aus Ein Aus Aus +Aus Aus Aus Aus Ein Ein Aus Aus Aus Ein Ein +Ein Aus Aus Aus Ein Ein Ein Aus Aus Ein Ein +Aus Ein Aus Aus Ein Ein Aus Aus Aus Ein Ein +Ein Ein Aus Aus Ein Ein Ein Aus Aus Ein Ein +Aus Aus Ein Aus Ein Ein Aus Aus Aus Ein Ein +Ein Aus Ein Aus Ein Ein Ein Aus Aus Ein Ein +Aus Ein Ein Aus Ein Ein Aus Aus Aus Ein Ein +Ein Ein Ein Aus Ein Ein Ein Aus Aus Ein Ein +Aus Aus Aus Ein Ein Ein Aus Aus Aus Ein Ein +Ein Aus Aus Ein Ein Ein Ein Aus Aus Ein Ein +Aus Ein Aus Ein Ein Ein Aus Aus Aus Ein Ein +Ein Ein Aus Ein Ein Ein Ein Aus Aus Ein Ein +Aus Aus Ein Ein Ein Ein Aus Aus Aus Ein Ein +Ein Aus Ein Ein Ein Ein Ein Aus Aus Ein Ein +Aus Ein Ein Ein Ein Ein Aus Aus Aus Ein Ein +Ein Ein Ein Ein Ein Ein Ein Aus Aus Ein Ein +\end{lstlisting} +\pagebreak + +\section{Quellcode} +\begin{lstlisting}[language=JavaScript] +const w = (a, b) => !(a && b); +const r = (a) => !a; + +const QuelleStatus = {}; +const Empfaenger = {} + +const getBlockPair = (matrix, col, row) => { + let blockIndex = 0; + for (let x = 0; x < col; x++) { + if (matrix[row][x] === 'X') blockIndex = 0; + else blockIndex = (blockIndex + 1) % 2; + } + return blockIndex ? col - 1 : col + 1; +} + +const solve = (matrix, x, y) => { + if (x < 0 || y < 0 || matrix[y][x] === 'X') return false; + const cell = matrix[y][x]; + if (cell.startsWith("Q")) return QuelleStatus[cell] + const Actions = { + B: () => solve(matrix, x, y - 1), + R: () => r(solve(matrix, x, y - 1)), + W: () => w(solve(matrix, x, y - 1), solve(matrix, getBlockPair(matrix, x, y), y - 1)), + r: () => solve(matrix, getBlockPair(matrix, x, y), y), + } + return Actions[cell](); +} + +process.stdin.on('data', async data => { + // Bearbeitung der Eingabe wurde gekuerzt + // Es wurde die Matrix input[y][x] erstellt + + for (let y = row - 1; y >= 0; y--) { + for (let x = 0; x < col; x++) { + const cell = input[y][x]; + if (cell.startsWith("L")) { + Empfaenger[cell] = () => solve(input, x, y - 1); + } else if (cell.startsWith("Q")) { + QuelleStatus[cell] = false; + } + } + } + + // Gekuerzt: Ausgabe fuer alle Kombinationen +}) + +\end{lstlisting} + +\section{Zusatzaufgabe} + +Meine Webanwendung für die interaktive Visualisierung von Bausteinen wurde komplett in reinem JavaScript, ohne die Verwendung externer Bibliotheken, entwickelt. Dies gewährleistet maximale Flexibilität und Kontrolle über alle Funktionen des Projekts, wobei der Fokus auf der Canvas-Technologie liegt. Die Inspiration für das Design stammt von ähnlichen Webanwendungen wie Figma und GeoGebra. + +Im Hintergrund ist ein Koordinatensystem sichtbar, um das sich die Bausteine magnetisch bewegen können. Das Originaldesign des Aufgabenblatts wurde für die Darstellung der Bausteine verwendet. +Sie können die Datei index.html problemlos öffnen, um sich das Projekt anzusehen. + +Hier sind die wichtigsten Funktionen: + +\subsubsection*{Pan \& Zoom} +\begin{itemize} + \item Leichte Navigation durch Maus- und Tastatursteuerung. + \item Funktioniert sowohl auf Tracking-Pads mit Gestenerkennung, ähnlich wie in Figma, als auch mit einer herkömmlichen Maus. + \item Shortcuts ermöglichen den Wechsel zwischen Instrumenten: + \begin{itemize} + \item \texttt{M/H} - Bewegen der Ansicht + \item \texttt{V} - Auswahl von Bausteinen + \item \texttt{Strg + Plus} - Hereinzoomen + \item \texttt{Strg + Minus} - Herauszoomen + \end{itemize} +\end{itemize} + +\subsubsection*{Bewegen von Bausteinen} +\begin{itemize} + \item Mit dem Auswahlwerkzeug (Taste \texttt{V}) können Bausteine auf dem Feld verschoben werden. + \item Möglichkeit, mehrere Elemente gleichzeitig auszuwählen und zu bearbeiten, indem ein Rechteck gezogen wird, das die gewünschten Elemente berührt. +\end{itemize} + +\subsubsection*{Rotieren von roten Bausteinen} +\begin{itemize} + \item Rote Bausteine können durch doppeltes Klicken verschoben werden. +\end{itemize} + +\subsubsection*{Ein- und Ausschalten von Lichtquellen} +\begin{itemize} + \item Taschenlampe kann durch doppeltes Klicken ein- oder ausgeschaltet werden. +\end{itemize} + +\subsubsection*{Löschen von Elementen} +\begin{itemize} + \item Ausgewählte Elemente können durch Drücken der \texttt{Backspace}-Taste gelöscht werden. +\end{itemize} + +\subsubsection*{Importieren von Beispielaufgaben} +\begin{itemize} + \item Textdateien im Format von Beispieldateien können durch Ziehen der Datei auf die Webseite importiert werden. +\end{itemize} + +\subsubsection*{Einfügen von Elementen} +\begin{itemize} + \item Ein Element kann durch Klicken an einer beliebigen Stelle auf dem Koordinatenfeld eingefügt werden. Im daraufhin geöffneten Kontextmenü kann ein Element ausgewählt werden. +\end{itemize} + +\begin{figure}[!ht] + \centering + \includegraphics[width=0.5\linewidth]{Nandu5.png} + \caption{Bildschirmaufnahme der Webseite, auf der Beispiel 5 dargestellt ist.} + \label{fig:nandu5} +\end{figure} + +\end{document} diff --git a/1-Runde/Aufgabe4/Zusatzaufgabe/index.html b/1-Runde/Aufgabe4/Zusatzaufgabe/index.html new file mode 100644 index 0000000..bbe8bb2 --- /dev/null +++ b/1-Runde/Aufgabe4/Zusatzaufgabe/index.html @@ -0,0 +1,97 @@ + + + + + + + Baustein-Simulator + + + + + +

+
+
  • +
      Rot
    +
      Weiß
    +
      Blau
    +
      Lichquelle
    +
      Lichtempfänger
    +
  • +
    + + + + + diff --git a/1-Runde/Aufgabe4/Zusatzaufgabe/index.js b/1-Runde/Aufgabe4/Zusatzaufgabe/index.js new file mode 100644 index 0000000..14d4d2a --- /dev/null +++ b/1-Runde/Aufgabe4/Zusatzaufgabe/index.js @@ -0,0 +1,816 @@ +'use strict'; + +const BLOCK_SIZE = 55; +const MAX_ZOOM = 2.5 +const MIN_ZOOM = 0.5 + +const canvas = document.getElementById('playground'); +const context = canvas.getContext('2d'); + +let projectModules = []; + +const Tools = { + Select: 0, + Move: 1, +} + +let currentTool = Tools.Select; +let isDragging = false; +let dragCoords = [0, 0] +let scale = 1; +let cameraOffset = { x: 0, y: 0 }; +let lastMouseCoords = { x: 0, y: 0 }; +const history = []; +const HistoryType = { + Delete: 0, + Create: 1, + Move: 2, + Rotate: 3, +} + +let selectCoords = [[-1, -1], [-1, -1]]; + +const generateId = () => `id${Math.random().toString(16).slice(2)}` + +const setGradient = (ctx, x1, y1, x2, y2, colors) => { + const fillGradient = ctx.createLinearGradient(x1, y1, x2, y2); + for (let i = 0; i < colors.length; i++) { + fillGradient.addColorStop(i / (colors.length - 1), colors[i]); + } + return fillGradient +} + +class Module { + constructor(x, y) { + this.id = generateId() + this.x = x; + this.y = y; + this.hovered = false; + this.active = false; + this.selected = false; + this.mouseOffset = { x: 0, y: 0 }; + this._x = this.xPx; + this._y = this.yPx; + } + + get offset() { + return this.hovered ? 1 : this.active ? 2 : 0; + } + + get width() { + return BLOCK_SIZE + this.offset; + } + + get height() { + return BLOCK_SIZE + this.offset; + } + + get xPx() { + const x = this.active ? this._x : this.x * BLOCK_SIZE; + return (x - this.offset / 2); + } + + get yPx() { + const y = this.active ? this._y : this.y * BLOCK_SIZE; + return (y - this.offset / 2); + } + + activate() { + this.active = !this.active; + } + + hover() { + this.hovered = !this.hovered; + } + + drawSelectedBox(ctx) { + ctx.strokeStyle = "#0028B6" + ctx.lineWidth = 3; + ctx.strokeRect(this.xPx, this.yPx, this.width, this.height); + } + + _draw(ctx) { + this.draw(ctx); + if (this.selected) this.drawSelectedBox(ctx) + } + + draw() { + throw new Error("Funktion fuers Zeichnen fehlt") + } + + setGradient(ctx, colors) { + return setGradient(ctx, this.xPx, this.yPx, this.xPx, this.yPx + this.height, colors); + } + + drawOutputLight(ctx, output, index = 0) { + if (!output) return + const [x, y] = [this.xPx + this.width, this.yPx + index * BLOCK_SIZE] + const lightGradient = setGradient(ctx, x, y, x, y + BLOCK_SIZE, ["#F8B50A", "#FEE709", "#F8B50A"]); + ctx.fillStyle = lightGradient + + ctx.beginPath(); + ctx.moveTo(x + 1, y + 18) + ctx.lineTo(x + 28, y + 15); + ctx.lineTo(x + 28, y + 40) + ctx.lineTo(x + 1, y + 35) + ctx.closePath(); + ctx.fill(); + ctx.strokeStyle = "#7E5B00"; + ctx.lineWidth = 0.3; + ctx.stroke(); + } +} + +const getOutput = (x, y) => { + const block = getBlock(x, y); + if (!block) return false; + return block.output; +} + +class BausteinBlock { + constructor(party, index) { + this.party = party; + this.index = index; + } + + get id() { + return this.party.id; + } + + get input() { + return getOutput(this.party.x - 1, this.party.y + this.index) + } + + get output() { + throw new Error("No output logic added") + } + + get x() { + return this.party.x; + } + + get y() { + return this.party.y + this.index; + } + + drawInputIndicator(ctx) { + ctx.fillStyle = this.input ? "#F8B50A" : "#333"; + ctx.beginPath(); + const [x, y] = [this.party.xPx, this.party.yPx + this.index * BLOCK_SIZE + 0.5 * BLOCK_SIZE] + ctx.arc(x, y, 12.5, Math.PI / 2, 1.5 * Math.PI, true); + ctx.lineTo(x, y) + ctx.fill(); + ctx.strokeStyle = "#000"; + ctx.lineWidth = 0.3; + ctx.stroke(); + } + + draw(ctx) { + this.drawInputIndicator(ctx); + this.drawOutputLight(ctx) + } + + drawOutputLight(ctx) { + const nextBlock = getBlock(this.party.x + 1, this.party.y + this.index); + if (!nextBlock) this.party.drawOutputLight(ctx, this.output, this.index) + } +} + +class BausteinParty extends Module { + constructor(x, y, bausteinClass) { + super(x, y); + this.blocks = [new bausteinClass(this, 0), new bausteinClass(this, 1)]; + this.gradientColors = ["#888", "#ff0000"] + } + + get height() { + return 2 * BLOCK_SIZE + this.offset; + } + + draw(ctx) { + this.fill(ctx); + this.stroke(ctx); + for (const block of this.blocks) block.draw(ctx); + } + + stroke(ctx) { + ctx.strokeStyle = "#000" + ctx.lineWidth = this.hovered ? 2 : 1; + ctx.strokeRect(this.xPx, this.yPx, this.width, this.height); + } + + fill(ctx) { + const gradient = this.setGradient(ctx, this.gradientColors); + ctx.fillStyle = gradient; + ctx.shadowColor = `rgba(0, 0, 0, ${this.active ? "0.8" : "0.3"})`; + ctx.shadowBlur = 15; + ctx.shadowOffsetY = this.active ? 0 : 5; + ctx.fillRect(this.xPx, this.yPx, this.width, this.height); + ctx.shadowColor = "transparent"; + } +} + +const getFontSize = (ctx, text, maxHeight, maxWidth) => { + ctx.font = `bold ${maxHeight}px Arial`; + const { width } = ctx.measureText(text); + if (width > maxWidth) maxHeight -= 1; + else return maxHeight; + return getFontSize(ctx, text, maxHeight, maxWidth) +} + +class LichtEmpfaenger extends Module { + constructor(x, y) { + super(x, y); + this.caption = "L"; + } + + get input() { + return getOutput(this.x - 1, this.y); + } + + getDrawCoords(ctx, fontSize) { + const _oldFont = ctx.font + ctx.font = `bold ${fontSize}px Arial` + const { width } = ctx.measureText(this.caption); + const x = (BLOCK_SIZE - width) / 2; + // TODO: Magic NUmber + const y = (BLOCK_SIZE + fontSize) / 2.2 + ctx.font = _oldFont + return [x + this.xPx, y + this.yPx] + } + + draw(ctx) { + const fontSize = getFontSize(ctx, this.caption, 30, BLOCK_SIZE) + ctx.font = `bold ${fontSize}px Arial` + ctx.fillStyle = this.input ? "#ADFF00" : "#FF0000"; + ctx.strokeStyle = "#000"; + ctx.lineWidth = 2; + const [x, y] = this.getDrawCoords(ctx, fontSize) + ctx.fillText(this.caption, x, y) + ctx.strokeText(this.caption, x, y) + } +} + +class Quelle extends Module { + constructor(x, y) { + super(x, y); + this.output = false; + this.caption = "Q"; + } + + getSquareGradient(ctx) { + return this.setGradient(ctx, ["#D9EFFD", "#fff", "#D9EFFD"]); + } + + getTrapezGradient(ctx) { + return this.setGradient(ctx, ["#9DD1F8", "#fff", "#9DD1F8"]); + } + + toggle() { + this.output = !this.output; + } + + draw(ctx) { + const { xPx, yPx } = this + + const nextBlock = getBlock(this.x + 1, this.y); + if (!nextBlock) this.drawOutputLight(ctx, this.output); + + ctx.beginPath(); + + ctx.fillStyle = `rgba(0, 0, 0, ${this.hovered ? 1 : 0.5})` + ctx.font = "10px Arial"; + ctx.fillText(this.caption, xPx + 1, yPx + 10) + + + ctx.fillStyle = this.getSquareGradient(ctx); + ctx.lineWidth = 1; + ctx.strokeStyle = "black"; + ctx.rect(xPx, yPx + 13.5, 27, 27); + ctx.fill(); + ctx.stroke(); + + ctx.moveTo(xPx + 27, yPx + 13.5); + ctx.lineTo(xPx + 55, yPx + 6); + ctx.lineTo(xPx + 55, yPx + 48); + ctx.lineTo(xPx + 27, yPx + 40); + ctx.closePath(); + ctx.fillStyle = this.getTrapezGradient(ctx); + ctx.fill(); + ctx.stroke(); + + ctx.font = "bold 11px Arial"; + ctx.fillStyle = this.output ? "#ADFF00" : "#FF0000"; + ctx.strokeStyle = "#000"; + ctx.lineWidth = 2; + const text = this.output ? "EIN" : "AUS" + ctx.strokeText(text, xPx + 2, yPx + 30, 25) + ctx.fillText(text, xPx + 1, yPx + 30, 25); + } +} + +const getBlock = (x, y) => { + const flatModules = projectModules.flatMap(m => m instanceof BausteinParty ? m.blocks : m) + const block = flatModules.find(m => m.x === x && m.y === y); + return block +} + + +class BlauBausteinBlock extends BausteinBlock { + get output() { + return this.input; + } +} + +class BlauBausteinParty extends BausteinParty { + constructor(x, y) { + super(x, y, BlauBausteinBlock); + this.gradientColors = ["#128FDE", "#CFE2FF", "#128FDE"]; + } +} + +class WeissBausteinBlock extends BausteinBlock { + get output() { + return !(this.party.blocks[0].input && this.party.blocks[1].input); + } +} + +class WeissBausteinParty extends BausteinParty { + constructor(x, y) { + super(x, y, WeissBausteinBlock); + this.gradientColors = ["#D9D9D9", "#fff", "#D9D9D9"]; + } +} + +class RotBausteinBlock extends BausteinBlock { + draw(ctx) { + super.draw(ctx); + } + + get isEnabled() { + return this.party.sensorPosition === this.index + } + + get output() { + if (!this.isEnabled) return this.party.blocks[this.index === 1 ? 0 : 1].output + return !this.input; + } + + draw(ctx) { + if (this.isEnabled) this.drawInputIndicator(ctx) + this.drawOutputLight(ctx) + } +} + +class RotBausteinParty extends BausteinParty { + constructor(x, y, sensorPosition) { + super(x, y, RotBausteinBlock); + this.gradientColors = ["#DA0011", "#FFBB55", "#DA0011"]; + this.sensorPosition = sensorPosition; + } + + toggle() { + this.sensorPosition = this.sensorPosition === 0 ? 1 : 0; + } +} + +const drawLine = (ctx, x1, y1, x2, y2) => { + ctx.beginPath(); + ctx.moveTo(x1, y1); + ctx.lineTo(x2, y2); + ctx.closePath(); + ctx.stroke(); +} + +const getNearestTeiler = (a, b) => a - (a % b); + +const drawCoordinates = (ctx) => { + ctx.lineWidth = 0.3; + ctx.strokeStyle = "lightgray" + + const canvasWidth = (canvas.width / scale) + const canvasHeight = (canvas.height / scale) + + const x1 = -(cameraOffset.x / scale); + const x2 = (canvasWidth + x1); + const y1 = -(cameraOffset.y / scale) + const y2 = (canvasHeight + y1) + + for (let i = getNearestTeiler(x1, BLOCK_SIZE); i < x2; i += BLOCK_SIZE) { + drawLine(ctx, i, y1, i, y2); + } + + for (let i = getNearestTeiler(y1, BLOCK_SIZE); i < y2; i += BLOCK_SIZE) { + drawLine(ctx, x1, i, x2, i); + } +} + +drawCoordinates(context); + +const drawSelectBox = (ctx) => { + ctx.fillStyle = 'rgba(0, 160, 250, 0.2)'; + ctx.strokeStyle = "#0085FF"; + ctx.lineWidth = 1; + + const [x1, y1, x2, y2] = selectCoords.flat(); + const x = x1 < x2 ? x1 : x2; + const y = y1 < y2 ? y1 : y2; + const w = Math.abs(x1 - x2) + const h = Math.abs(y1 - y2); + + ctx.beginPath() + ctx.rect(x, y, w, h); + ctx.fill(); + ctx.stroke() + ctx.closePath(); +} + +const getUnscaledMouse = (canvas, e) => { + const { left, top } = canvas.getBoundingClientRect(); + return { x: e.clientX - left, y: e.clientY - top } +} + +const getMouseOnCanvas = (canvas, e) => { + const { x, y } = getUnscaledMouse(canvas, e) + return { x: (x - cameraOffset.x) / scale, y: (y - cameraOffset.y) / scale } +} + +const getOffsetCoords = (mouse, rect) => { + return { + x: mouse.x - rect.xPx, + y: mouse.y - rect.yPx + } +} + +const isRectIntersect = (rec1, rec2) => (rec1[0] < rec2[2] && rec1[2] > rec2[0] && rec1[1] < rec2[3] && rec1[3] > rec2[1]) + +const getSelectedRectangle = (coords) => { + let [x1, y1, x2, y2] = coords.flat(); + if (x1 > x2) [x1, x2] = [x2, x1]; + if (y1 > y2) [y1, y2] = [y2, y1]; + return [x1, y1, x2, y2] +} + +const isModuleIntersect = (module, rec1) => { + const rec2 = [module.xPx, module.yPx, module.xPx + module.width, module.yPx + module.height] + return isRectIntersect(rec1, rec2); +} + +const findHoveredModules = () => { + const rec1 = getSelectedRectangle(selectCoords); + const intersect = projectModules.filter(m => isModuleIntersect(m, rec1)) + return intersect +} + +const findHoveredModule = (x, y) => { + for (const module of projectModules) { + const istInnerhalbX = x > module.xPx && x < module.xPx + module.width; + const istInnerhalbY = y > module.yPx && y < module.yPx + module.height; + if (istInnerhalbX && istInnerhalbY) return module; + if (module.hovered) module.hover(); + } + return null; +} + +const blockClasses = { + Q: Quelle, + W: WeissBausteinParty, + B: BlauBausteinParty, + R: RotBausteinParty, + L: LichtEmpfaenger +} + +const isLowerCase = (str) => str === str.toLowerCase() + +const getMiddleCoords = (canvas) => { + const x = Math.round(canvas.width / BLOCK_SIZE / 2) + const y = Math.round(canvas.height / BLOCK_SIZE / 2); + return [x - 1, y - 1]; +} + +const importText = (input, middleCoordinates) => { + projectModules = []; + const splittedInput = input.split('\n').map(e => e.split(/ +/g)) + const [n, m] = splittedInput.shift().map(e => +e); + const startX = Math.round(middleCoordinates[0] - m / 2); + const startY = Math.round(middleCoordinates[1] - n / 2) + for (let x = 0; x < m; x++) { + for (let y = 0; y < n; y++) { + const blockCaption = splittedInput[x][y] + const [blockType] = blockCaption + if (blockType === 'X') continue; + const lichtSensorPosition = isLowerCase(blockType) ? 1 : 0; + const module = new blockClasses[blockType[0].toUpperCase()](startX + x, startY + y, lichtSensorPosition) + if (module instanceof Quelle || module instanceof LichtEmpfaenger) module.caption = blockCaption; + else y += 1 + projectModules.push(module) + } + } +} + +window.addEventListener('resize', () => { + canvas.width = window.innerWidth; + canvas.height = window.innerHeight; +}); + + +canvas.addEventListener('dblclick', e => { + const mouse = getMouseOnCanvas(canvas, e); + const hoveredModule = findHoveredModule(mouse.x, mouse.y) + + if (currentTool === Tools.Select) { + if (hoveredModule instanceof Quelle) { + hoveredModule.toggle() + } else if (hoveredModule instanceof RotBausteinParty) { + hoveredModule.toggle(); + } + } + +}) + +canvas.addEventListener('mousemove', e => { + const mouse = getMouseOnCanvas(canvas, e); + const unscaledMouse = getUnscaledMouse(canvas, e) + lastMouseCoords.x = unscaledMouse.x + lastMouseCoords.y = unscaledMouse.y + + if (currentTool === Tools.Select) { + if (selectCoords[0][0] !== -1) { + selectCoords[1][0] = mouse.x; + selectCoords[1][1] = mouse.y; + return; + } + + const activeModules = projectModules.filter(m => m.active) + if (activeModules.length > 0) { + for (const module of activeModules) { + module._x = mouse.x - module.mouseOffset.x; + module._y = mouse.y - module.mouseOffset.y; + } + } + + const hoveredModule = findHoveredModule(mouse.x, mouse.y); + if (hoveredModule && !hoveredModule.hovered) { + canvas.classList.add('pointer'); + hoveredModule.hover(); + } else if (!hoveredModule) { + canvas.classList.remove('pointer'); + } + } else if (currentTool === Tools.Move) { + if (isDragging) { + const [dragStartX, dragStartY] = dragCoords + const [deltaX, deltaY] = [unscaledMouse.x - dragStartX, unscaledMouse.y - dragStartY]; + cameraOffset.x += deltaX + cameraOffset.y += deltaY + dragCoords = [unscaledMouse.x, unscaledMouse.y]; + } + } + +}); + +const unselectModules = () => { + for (const module of projectModules) { + module.selected = false; + } +} + +const closeContextMenu = () => { + const contextMenu = document.getElementById('contextMenu') + contextMenu.style.display = 'none' +} + +window.createElement = (type) => { + closeContextMenu(); + const contextMenu = document.getElementById('contextMenu') + const x = +contextMenu.style.left.split('px')[0] + const y = +contextMenu.style.top.split('px')[0] + + + const Elements = { + rot: (x, y) => new RotBausteinParty(x, y, 0), + weiss: (x, y) => new WeissBausteinParty(x, y), + blau: (x, y) => new BlauBausteinParty(x, y), + lq: (x, y) => new Quelle(x, y), + le: (x, y) => new LichtEmpfaenger(x, y) + } + const element = Elements[type](Math.round(x / BLOCK_SIZE), Math.round(y / BLOCK_SIZE)); + projectModules.push(element) +} + +canvas.addEventListener('mousedown', e => { + const mouse = getMouseOnCanvas(canvas, e); + const hoveredModule = findHoveredModule(mouse.x, mouse.y); + + closeContextMenu() + + const unscaledMouse = getUnscaledMouse(canvas, e) + lastMouseCoords = unscaledMouse + + if (currentTool === Tools.Select) { + const selectedModules = projectModules.filter(m => m.selected); + if (selectedModules.length > 0 && selectedModules.find(m => m.id === hoveredModule?.id)) { + for (const module of selectedModules) { + module.active = true; + module.mouseOffset = getOffsetCoords(mouse, module); + } + } else { + unselectModules() + }; + + if (hoveredModule) { + hoveredModule.active = true + hoveredModule.mouseOffset = getOffsetCoords(mouse, hoveredModule) + } else { + if (e.button === 2) { + const contextMenu = document.getElementById('contextMenu'); + contextMenu.style.display = 'flex'; + contextMenu.style.left = `${mouse.x}px`; + contextMenu.style.top = `${mouse.y}px`; + } else { + selectCoords = [[mouse.x, mouse.y], [mouse.x, mouse.y]] + } + } + } else if (currentTool === Tools.Move) { + isDragging = true; + canvas.classList.remove('grab') + canvas.classList.add('grabbing') + dragCoords = [unscaledMouse.x, unscaledMouse.y]; + } +}) + +const getSelectedBoxCoords = () => { + const selectedModules = projectModules.filter(m => m.selected) + let x1 = Infinity, y1 = Infinity, x2 = -Infinity, y2 = -Infinity; + for (const module of selectedModules) { + if (module.xPx < x1) x1 = module.xPx + if (module.yPx < y1) y1 = module.yPx + if (module.xPx + module.width > x2) x2 = module.xPx + module.width + if (module.yPx + module.height > y2) y2 = module.yPx + module.height + } + const [w, h] = [x2 - x1, y2 - y1] + return [x1, y1, w, h] +} + +const drawSelectedBox = (ctx) => { + ctx.strokeStyle = "#0085FF"; + ctx.lineWidth = 2; + const [x, y, w, h] = getSelectedBoxCoords() + ctx.strokeRect(x - 4, y - 4, w + 8, h + 8) +} + +canvas.addEventListener('mouseup', (e) => { + if (currentTool === Tools.Select) { + if (selectCoords[0][0] !== -1) { + const hoveredModules = findHoveredModules() + if (hoveredModules.length > 0) { + for (const module of hoveredModules) module.selected = true; + } + selectCoords[0] = [-1, -1] + selectCoords[1] = [-1, -1] + } + + const activeModules = projectModules.filter(m => m.active) + if (activeModules.length > 0) { + const newModulePlaces = [] + for (const module of activeModules) { + const [newX, newY] = [Math.round(module._x / BLOCK_SIZE), Math.round(module._y / BLOCK_SIZE)] + if (canPlaceNewObject(module, activeModules, newX, newY)) { + newModulePlaces.push([module, newX, newY]) + } + module.active = false; + module._x = module.xPx; + module._y = module.yPx; + } + if (newModulePlaces.length === activeModules.length) { + for (const [module, x, y] of newModulePlaces) { + module.x = x; + module.y = y; + module._x = module.xPx; + module._y = module.yPx; + } + } + } + } else if (currentTool === Tools.Move) { + isDragging = false; + canvas.classList.remove('grabbing') + canvas.classList.add('grab') + } +}) + +const adjustZoom = ({ faktor, summand }) => { + if (!faktor) faktor = 1; + if (!summand) summand = 0 + scale = Math.max(Math.min(scale * faktor + summand, MAX_ZOOM), MIN_ZOOM); + if (scale < MAX_ZOOM && scale > MIN_ZOOM) { + cameraOffset.x = (cameraOffset.x - lastMouseCoords.x) * faktor + lastMouseCoords.x + cameraOffset.y = (cameraOffset.y - lastMouseCoords.y) * faktor + lastMouseCoords.y + } +} + +const deleteModules = (modules) => { + history.push({ type: HistoryType.Delete, modules }) + projectModules = projectModules.filter(m => !modules.find(j => j.id === m.id)) + for (const module of modules) projectModules.delete(module.id) +} + +document.body.addEventListener('keydown', e => { + const isControl = (e.metaKey || e.ctrlKey) + if (e.code === "KeyH" || e.code === "KeyM") { + e.preventDefault() + selectCoords[0] = [-1, -1] + selectCoords[1] = [-1, -1] + currentTool = Tools.Move; + canvas.classList.add('grab'); + } else if (e.code === "KeyV") { + e.preventDefault() + currentTool = Tools.Select + canvas.classList.remove("grab", "grabbing") + } else if ((e.code === 'Equal' || e.key === '+') && isControl) { + e.preventDefault() + adjustZoom({ summand: 0.2 }) + } else if ((e.key === '-') && isControl) { + e.preventDefault() + adjustZoom({ summand: -0.2 }) + } else if (e.code === "Backspace") { + projectModules = projectModules.filter(m => !m.selected) + } else if (isControl && e.key === "KeyZ") { + + } + return true; +}) + +const dropFileOverlay = document.getElementById('drop-file') + +document.body.addEventListener('dragover', (e) => { + e.preventDefault(); + dropFileOverlay.style.display = "flex"; +}) + +document.body.addEventListener('dragleave', e => { + if (e.target.id !== 'drop-file') return; + dropFileOverlay.style.display = "none"; +}) + +dropFileOverlay.addEventListener('drop', e => { + e.preventDefault(); + dropFileOverlay.style.display = 'none'; + const target = e.dataTransfer; + const file = target.files[0] + const fileType = file.type.split("/").pop(); + if (fileType !== 'plain') { + alert("Falsche Datei") + return + } + const middleCoordinates = getMiddleCoords(canvas) + file.text().then((t) => importText(t, middleCoordinates)) +}) + +const canPlaceNewObject = (obj, ignoreModules, x, y) => { + const [blockA, blockB] = [getBlock(x, y), getBlock(x, y + 1)] + if (blockA && !ignoreModules.find(m => m.id === blockA.id)) return false; + if (obj instanceof BausteinParty && blockB && !ignoreModules.find(m => m.id === blockB.id)) return false; + return true; +} + +canvas.addEventListener('wheel', (e) => { + e.preventDefault(); + if (e.ctrlKey) { + const delta = Math.exp(-e.deltaY / 150); + adjustZoom({ faktor: delta }) + } else { + cameraOffset.x += e.deltaX * -1; + cameraOffset.y += e.deltaY * -1; + } +}); + +function drawRect(x, y, width, height) { + context.fillRect(x, y, width, height) +} + +function animate() { + canvas.width = window.innerWidth; + canvas.height = window.innerHeight + + context.clearRect(0, 0, canvas.width, canvas.height) + context.setTransform(scale, 0, 0, scale, cameraOffset.x, cameraOffset.y); + + drawCoordinates(context); + + const modules = projectModules.sort(a => a instanceof Quelle).sort((a, b) => a.active && a.xPx < b.xPx) + for (const el of modules) el._draw(context); + if (selectCoords[0][0] !== -1) drawSelectBox(context); + if (modules.find(m => m.selected)) drawSelectedBox(context) + + window.requestAnimationFrame(animate); +} + +animate(); + +importText(`4 6 +X Q1 Q2 X +X W W X +r R R r +X B B X +X W W X +X L1 L2 X +`, [5, 3]) diff --git a/1-Runde/Aufgabe4/examples/nandu1.txt b/1-Runde/Aufgabe4/examples/nandu1.txt new file mode 100644 index 0000000..6ff6b17 --- /dev/null +++ b/1-Runde/Aufgabe4/examples/nandu1.txt @@ -0,0 +1,7 @@ +4 6 +X Q1 Q2 X +X W W X +r R R r +X B B X +X W W X +X L1 L2 X diff --git a/1-Runde/Aufgabe4/examples/nandu2.txt b/1-Runde/Aufgabe4/examples/nandu2.txt new file mode 100644 index 0000000..c2816b5 --- /dev/null +++ b/1-Runde/Aufgabe4/examples/nandu2.txt @@ -0,0 +1,9 @@ +6 8 +X X Q1 Q2 X X +X X B B X X +X X W W X X +X r R R r X +r R W W R r +X W W B B X +X X B B X X +X X L1 L2 X X diff --git a/1-Runde/Aufgabe4/examples/nandu3.txt b/1-Runde/Aufgabe4/examples/nandu3.txt new file mode 100644 index 0000000..17c1d8e --- /dev/null +++ b/1-Runde/Aufgabe4/examples/nandu3.txt @@ -0,0 +1,8 @@ +8 7 +X X Q1 Q2 X X Q3 X +X X B B X r R X +X r R R r W W X +X W W B B W W X +r R B B B B R r +X B B W W B B X +X L1 L2 X L3 L4 X X diff --git a/1-Runde/Aufgabe4/examples/nandu4.txt b/1-Runde/Aufgabe4/examples/nandu4.txt new file mode 100644 index 0000000..98ce80e --- /dev/null +++ b/1-Runde/Aufgabe4/examples/nandu4.txt @@ -0,0 +1,9 @@ +8 8 +X X Q1 Q2 Q3 Q4 X X +X r R B B R r X +X X W W W W X X +X r R B B R r X +r R W W B B R r +X W W W W W W X +X X B B X X X X +X X L1 L2 X X X X diff --git a/1-Runde/Aufgabe4/examples/nandu5.txt b/1-Runde/Aufgabe4/examples/nandu5.txt new file mode 100644 index 0000000..0902985 --- /dev/null +++ b/1-Runde/Aufgabe4/examples/nandu5.txt @@ -0,0 +1,17 @@ +22 14 +X X X X X Q1 Q2 X X Q3 Q4 X X Q5 Q6 X X X X X X X +X X X X X R r X X r R X X R r X X X X X X X +X X X X r R R r r R R r r R R r X X X X X X +X X X X W W B B W W B B W W B B X X X X X X +X X X r R B B B B B B B B B B R r X X X X X +X X r R B B X B B B B B B B B X R r X X X X +X r R B B R r B B B B B B B B r R R r X X X +X X B B W W B B X B B B B B B W W B B X X X +X r R W W W W R r W W W W W W W W W W X X X +X W W B B W W X B B W W B B W W B B R r X X +r R B B B B R r X B B B B B B B B B B R r X +X B B B B B B R r B B B B B B B B B B W W X +r R B B B B B B B B B B B B B B B B B B R r +L1 X X X X L2 X X X X L3 X L4 X X X X X X X X L5 + + diff --git a/1-Runde/Aufgabe4/nandu.js b/1-Runde/Aufgabe4/nandu.js new file mode 100644 index 0000000..5ef3053 --- /dev/null +++ b/1-Runde/Aufgabe4/nandu.js @@ -0,0 +1,61 @@ +'use strict'; + +const w = (a, b) => !(a && b); +const r = (a) => !a; + +const QuelleStatus = {}; +const Empfaenger = {} + +const getBlockPair = (matrix, col, row) => { + let blockIndex = 0; + for (let x = 0; x < col; x++) { + if (matrix[row][x] === 'X') blockIndex = 0; + else blockIndex = (blockIndex + 1) % 2; + } + return blockIndex ? col - 1 : col + 1; +} + +const solve = (matrix, x, y) => { + if (x < 0 || y < 0 || matrix[y][x] === 'X') return false; + const cell = matrix[y][x]; + if (cell.startsWith("Q")) return QuelleStatus[cell] + const Actions = { + B: () => solve(matrix, x, y - 1), + R: () => r(solve(matrix, x, y - 1)), + W: () => w(solve(matrix, x, y - 1), solve(matrix, getBlockPair(matrix, x, y), y - 1)), + r: () => solve(matrix, getBlockPair(matrix, x, y), y), + } + return Actions[cell](); +} + +process.stdin.on('data', async data => { + const lines = Buffer.from(data).toString('utf8').split("\n") + let input = lines.map(e => e.split(/ +/)) + const [col, row] = input.shift().map(e => +e); + input = input.slice(0, row); + + for (let y = row - 1; y >= 0; y--) { + for (let x = 0; x < col; x++) { + const cell = input[y][x]; + if (cell.startsWith("L")) { + Empfaenger[cell] = () => solve(input, x, y - 1); + } else if (cell.startsWith("Q")) { + QuelleStatus[cell] = false; + } + } + } + + const allSources = Object.keys(QuelleStatus) + + const tableHeader = [...allSources, ...Object.keys(Empfaenger)].join("\t") + console.log(tableHeader) + + for (let i = 0; i < Math.pow(2, allSources.length); i++) { + for (let j = 0; j < allSources.length; j++) { + QuelleStatus[allSources[j]] = !!(i & Math.pow(2, j)); + } + const results = await Promise.all(Object.values(Empfaenger).map(fn => fn())); + console.log([...Object.values(QuelleStatus), ...results].map(e => e ? "Ein" : "Aus").join('\t')); + + } +}) diff --git a/1-Runde/Aufgabe4/results/nandu1.txt b/1-Runde/Aufgabe4/results/nandu1.txt new file mode 100644 index 0000000..c450786 --- /dev/null +++ b/1-Runde/Aufgabe4/results/nandu1.txt @@ -0,0 +1,5 @@ +Q1 Q2 L1 L2 +Aus Aus Ein Ein +Ein Aus Ein Ein +Aus Ein Ein Ein +Ein Ein Aus Aus diff --git a/1-Runde/Aufgabe4/results/nandu2.txt b/1-Runde/Aufgabe4/results/nandu2.txt new file mode 100644 index 0000000..25c7537 --- /dev/null +++ b/1-Runde/Aufgabe4/results/nandu2.txt @@ -0,0 +1,5 @@ +Q1 Q2 L1 L2 +Aus Aus Aus Ein +Ein Aus Aus Ein +Aus Ein Aus Ein +Ein Ein Ein Aus diff --git a/1-Runde/Aufgabe4/results/nandu3.txt b/1-Runde/Aufgabe4/results/nandu3.txt new file mode 100644 index 0000000..6ced73c --- /dev/null +++ b/1-Runde/Aufgabe4/results/nandu3.txt @@ -0,0 +1,9 @@ +Q1 Q2 Q3 L1 L2 L3 L4 +Aus Aus Aus Ein Aus Aus Ein +Ein Aus Aus Aus Ein Aus Ein +Aus Ein Aus Ein Aus Ein Ein +Ein Ein Aus Aus Ein Ein Ein +Aus Aus Ein Ein Aus Aus Aus +Ein Aus Ein Aus Ein Aus Aus +Aus Ein Ein Ein Aus Ein Aus +Ein Ein Ein Aus Ein Ein Aus diff --git a/1-Runde/Aufgabe4/results/nandu4.txt b/1-Runde/Aufgabe4/results/nandu4.txt new file mode 100644 index 0000000..39aec9e --- /dev/null +++ b/1-Runde/Aufgabe4/results/nandu4.txt @@ -0,0 +1,17 @@ +Q1 Q2 Q3 Q4 L1 L2 +Aus Aus Aus Aus Aus Aus +Ein Aus Aus Aus Aus Aus +Aus Ein Aus Aus Ein Aus +Ein Ein Aus Aus Aus Aus +Aus Aus Ein Aus Aus Ein +Ein Aus Ein Aus Aus Ein +Aus Ein Ein Aus Ein Ein +Ein Ein Ein Aus Aus Ein +Aus Aus Aus Ein Aus Aus +Ein Aus Aus Ein Aus Aus +Aus Ein Aus Ein Ein Aus +Ein Ein Aus Ein Aus Aus +Aus Aus Ein Ein Aus Aus +Ein Aus Ein Ein Aus Aus +Aus Ein Ein Ein Ein Aus +Ein Ein Ein Ein Aus Aus diff --git a/1-Runde/Aufgabe4/results/nandu5.txt b/1-Runde/Aufgabe4/results/nandu5.txt new file mode 100644 index 0000000..fb28f40 --- /dev/null +++ b/1-Runde/Aufgabe4/results/nandu5.txt @@ -0,0 +1,65 @@ +Q1 Q2 Q3 Q4 Q5 Q6 L1 L2 L3 L4 L5 +Aus Aus Aus Aus Aus Aus Aus Aus Aus Ein Aus +Ein Aus Aus Aus Aus Aus Ein Aus 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zPo}1Qd!O9EsK$a(joc6M*nb#;Jy8IoO7kD6inAzzQC0F&`VUm2z^E#LQB?w?s`L-4 zd0531?PaDA?LMH#9u(k!J9 z3I5vA?_fp6mF9XBrmu{DKv$ZuE4?h*_sZVvouP6I^R9K=4f}$PD9r`Ty6-3yj5BMc zIi&gGMn?Nqdw-F!V8R24A#LBA1f%MycnjZvcVP41pvwE7P!$K;#_l#wjuK!47(ge% z$Ii;m!N$hU#>&RU#m1{k4`BJ%8BVSMI&}+ea8l99{QrHfin^pWP|CyJ-qgg=5o}n~ zsaxB)0l=HHxh1$b6F}3#)eYPlfCI?J$;QRY&dtTa%nsycW&?7v0@=9$`hQyiDA;_m z0Q~KVK0UzB*~H!2&B6rm>EA`UfgC_Ca7R>Joyfi?WJ8}?rviERs zbOUhx?TCfBjhQ?67O}B|+XAp?0rUWD01oii0KlSV<6{BfU<0toN&xf(%q`f=EIBRB z&A8Y=W@fysW*}a6HZE>1E>>P{Hd7u}ApuJcZgW<4OLJ2bOA8JVCy3L8$DGyF+`@#_ z)BP`m1v;M4k-|9u z*EkA*yAk-=oEO=$4zf{;QYJzbW0Vwzf{@(a0w#x+uqa{k0%70kXvc{ofA};Q!ADJp3|ob@y_$utZ{K<3^&UmQ 2$} + \State $startIndex \gets gleichePunkte[j]$ + \State $endIndex \gets gleichePunkte[j + 1]$ + \If{startIndex > 1} + \State $distance \gets route[endIndex].accDistance - route[startIndex].accDistance$ + \State $teilRoute \gets new \textbf{TeilRoute}(startIndex, endIndex, distance)$ + \If{$\textbf{IsValidTeilRoute}(route, teilroute)$} + \State $result.push(teilroute)$ + \EndIf + \EndIf + \EndIf + \EndFor + \State \Return $result$ + \EndFunction + \end{algorithmic} +\end{algorithm} + +\vspace{0.5cm} + +\newpage +\section{Beispiele} + +\subsection*{Tour 1} +\begin{lstlisting}[language=C++] +cat examples/tour1.txt | ./a.out +Brauerei,1613,X,0 +Karzer,1665,X,80 +Rathaus,1678,X,150 +Rathaus,1739,X,150 +Euler-Brücke,1768, ,330 +Fibonacci-Gaststätte,1820,X,360 +Schiefes Haus,1823, ,480 +Theater,1880, ,610 +Emmy-Noether-Campus,1912,X,740 +Emmy-Noether-Campus,1998,X,740 +Euler-Brücke,1999, ,870 +Brauerei,2012, ,1020 +\end{lstlisting} + +\subsection*{Tour 2} +\begin{lstlisting}[language=C++] +cat examples/tour2.txt | ./a.out +Brauerei,1613, ,0 +Karzer,1665,X,80 +Rathaus,1678, ,150 +Rathaus,1739, ,150 +Euler-Brücke,1768, ,330 +Fibonacci-Gaststätte,1820,X,360 +Schiefes Haus,1823, ,480 +Theater,1880, ,610 +Emmy-Noether-Campus,1912,X,740 +Emmy-Noether-Campus,1998,X,740 +Euler-Brücke,1999, ,870 +Brauerei,2012, ,1020 +\end{lstlisting} + +\subsection*{Tour 3} +\begin{lstlisting}[language=C++] +cat examples/tour3.txt | ./a.out +Talstation,1768, ,0 +Wäldle,1805, ,520 +Mittlere Alp,1823, ,1160 +Observatorium,1833, ,1450 +Observatorium,1874,X,1450 +Piz Spitz,1898, ,1920 +Panoramasteg,1912,X,2140 +Panoramasteg,1952, ,2140 +Ziegenbrücke,1979,X,2390 +Talstation,2005, ,2670 +\end{lstlisting} + +\subsection*{Tour 4} +\begin{lstlisting}[language=C++] +cat examples/tour4.txt | ./a.out +Blaues Pferd,1523, ,0 +Alte Mühle,1544, ,110 +Marktplatz,1549, ,210 +Marktplatz,1562, ,210 +Springbrunnen,1571, ,290 +Dom,1596,X,360 +Bogenschütze,1610, ,480 +Bogenschütze,1683, ,480 +Schnecke,1698,X,630 +Fischweiher,1710, ,810 +Reiterhof,1728,X,930 +Schnecke,1742, ,1070 +Große Gabel,1874, ,960 +Fingerhut,1917,X,1030 +Stadion,1934, ,1150 +Marktplatz,1962, ,1240 +Baumschule,1974, ,1320 +Polizeipräsidium,1991, ,1460 +Blaues Pferd,2004, ,1610 +\end{lstlisting} + +\subsection*{Tour 5} +\begin{lstlisting}[language=C++] +cat examples/tour5.txt | ./a.out +Gabelhaus,1638, ,0 +Gabelhaus,1699, ,0 +Hexentanzplatz,1703,X,160 +Eselsbrücke,1711, ,280 +Dreibannstein,1724, ,390 +Dreibannstein,1752, ,390 +Schmetterling,1760,X,540 +Dreibannstein,1781, ,620 +Märchenwald,1793,X,700 +Fuchsbau,1811, ,780 +Torfmoor,1817, ,890 +Gartenschau,1825, ,1030 +Riesenrad,1902, ,880 +Dreibannstein,1911,X,1010 +Olympisches Dorf,1924, ,1170 +Haus der Zukunft,1927,X,1300 +Stellwerk,1931, ,1420 +Stellwerk,1942, ,1420 +Labyrinth,1955, ,1630 +Gauklerstadl,1961, ,1710 +Planetarium,1971,X,1790 +Känguruhfarm,1976, ,1840 +Balzplatz,1978, ,1920 +Dreibannstein,1998,X,2010 +Labyrinth,2013, ,2140 +CO2-Speicher,2022, ,2330 +Gabelhaus,2023, ,2400 +\end{lstlisting} + +\pagebreak + + +\section{Quellcode} + +In diesem Kontext wird die C++20-Version verwendet, um das Verhalten von Vergleichsoperatoren für eigene Strukturen zu definieren. + +\begin{lstlisting}[language=C++] +struct RoutePunkt { + string name; + int year; + bool essential; + int acc_distance; +}; + +struct TeilRoute { + int start_index; + int end_index; + int distance; + + bool operator<(const TeilRoute& other) { + return other.distance > distance; + } +}; + +RoutePunkt parse_line(string line) { + vector values; + stringstream ss(line); + for (int i = 0; i < 4; i++) { + string substr; + getline(ss, substr, ','); + values.push_back(substr); + } + + RoutePunkt result; + result.name = values[0]; + result.year = stoi(values[1]); + result.essential = (values[2] == "X"); + result.acc_distance = stoi(values[3]); + + return result; +} + +bool is_valid_teilroute(vector route, TeilRoute tr) { + for (int i = tr.start_index + 1; i < tr.end_index; i++) { + RoutePunkt punkt = route[i]; + if (punkt.essential) return false; + } + return true; +} + +vector find_teilrouten(vector route) { + unordered_map> hm_punkte; + for (int i = 0; i < route.size(); i++) { + hm_punkte[route[i].name].push_back(i); + } + + vector result; + for (int i = 0; i < route.size(); i++) { + vector gleiche_punkte = hm_punkte[route[i].name]; + if (gleiche_punkte.size() < 2) continue; + for (int j = 0; j < gleiche_punkte.size() - 1; j++) { + int start_index = gleiche_punkte[j]; + int end_index = gleiche_punkte[j + 1]; + if (start_index < i) continue; + RoutePunkt start = route[start_index]; + RoutePunkt end = route[end_index]; + int distance = end.acc_distance - start.acc_distance; + TeilRoute teilroute = { start_index, end_index, distance }; + if (is_valid_teilroute(route, teilroute)) result.push_back(teilroute); + } + } + return result; +} + +vector filter_best_teilroutes(vector route, vector trs) { + if (trs.size() < 2) return trs; + vector best; + for (int i = 0; i < trs.size(); i++) { + if (trs[i + 1].start_index <= trs[i].end_index) { + best.push_back(trs[i + 1] < trs[i] ? trs[i] : trs[i + 1]); + i++; + continue; + } + best.push_back(trs[i]); + } + return best; +} + +void print_best(vector &route, vector &trs) { + int i = 0; + while (i < route.size()) { + auto it = find_if(trs.begin(), trs.end(), [&i] (const TeilRoute& tr) { + return i > tr.start_index && i < tr.end_index; + }); + + if (it != trs.end()) { + for (int j = it->end_index; j < route.size(); j++) { + route[j].acc_distance -= it->distance; + } + i = it->end_index; + } else { + cout << route[i].name << "," << route[i].year << "," << (route[i].essential ? 'X' : ' ') << "," << route[i].acc_distance << "\n"; + i++; + } + } +} + +int main() { + vector trs = find_teilrouten(initial_route); + vector best_trs = filter_best_teilroutes(initial_route, trs); + print_best(initial_route, best_trs); + return 0; +} + +\end{lstlisting} + + + +\end{document} diff --git a/1-Runde/Aufgabe5/Quelltext/main.cpp b/1-Runde/Aufgabe5/Quelltext/main.cpp new file mode 100644 index 0000000..f8e3bf9 --- /dev/null +++ b/1-Runde/Aufgabe5/Quelltext/main.cpp @@ -0,0 +1,125 @@ +#include "bits/stdc++.h" + +using namespace std; + +struct RoutePunkt { + string name; + int year; + bool essential; + int acc_distance; +}; + +struct TeilRoute { + int start_index; + int end_index; + int distance; + + bool operator<(const TeilRoute& other) { return other.distance > distance; } +}; + +RoutePunkt parse_line(string line) { + vector values; + stringstream ss(line); + for (int i = 0; i < 4; i++) { + string substr; + getline(ss, substr, ','); + values.push_back(substr); + } + + RoutePunkt result; + result.name = values[0]; + result.year = stoi(values[1]); + result.essential = (values[2] == "X"); + result.acc_distance = stoi(values[3]); + + return result; +} + +bool is_valid_teilroute(vector route, TeilRoute tr) { + for (int i = tr.start_index + 1; i < tr.end_index; i++) { + RoutePunkt punkt = route[i]; + if (punkt.essential) return false; + } + return true; +} + +vector find_teilrouten(vector route) { + unordered_map> hm_punkte; + for (int i = 0; i < route.size(); i++) { + hm_punkte[route[i].name].push_back(i); + } + + vector result; + for (int i = 0; i < route.size(); i++) { + vector gleiche_punkte = hm_punkte[route[i].name]; + if (gleiche_punkte.size() < 2) continue; + for (int j = 0; j < gleiche_punkte.size() - 1; j++) { + int start_index = gleiche_punkte[j]; + int end_index = gleiche_punkte[j + 1]; + if (start_index < i) continue; + RoutePunkt start = route[start_index]; + RoutePunkt end = route[end_index]; + int distance = end.acc_distance - start.acc_distance; + TeilRoute teilroute = {start_index, end_index, distance}; + if (is_valid_teilroute(route, teilroute)) result.push_back(teilroute); + } + } + return result; +} + +vector filter_best_teilroutes(vector route, + vector trs) { + if (trs.size() < 2) return trs; + vector best; + for (int i = 0; i < trs.size(); i++) { + if (trs[i + 1].start_index <= trs[i].end_index) { + best.push_back(trs[i + 1] < trs[i] ? trs[i] : trs[i + 1]); + i++; + continue; + } + best.push_back(trs[i]); + } + return best; +} + +void print_best(vector& route, vector& trs) { + int i = 0; + while (i < route.size()) { + auto it = find_if(trs.begin(), trs.end(), [&i](const TeilRoute& tr) { + return i > tr.start_index && i < tr.end_index; + }); + + if (it != trs.end()) { + for (int j = it->end_index; j < route.size(); j++) { + route[j].acc_distance -= it->distance; + } + i = it->end_index; + } else { + cout << route[i].name << "," << route[i].year << "," + << (route[i].essential ? 'X' : ' ') << "," << route[i].acc_distance + << "\n"; + i++; + } + } +} + +int main() { + int n; + cin >> n; + cin.ignore(); + + vector initial_route; + vector result; + + string line; + for (int i = 0; i < n; i++) { + getline(cin, line); + initial_route.push_back(parse_line(line)); + } + + vector trs = find_teilrouten(initial_route); + vector best_trs = filter_best_teilroutes(initial_route, trs); + print_best(initial_route, best_trs); + + return 0; +} diff --git a/1-Runde/Aufgabe5/examples/tour1.txt b/1-Runde/Aufgabe5/examples/tour1.txt new file mode 100644 index 0000000..ba0d466 --- /dev/null +++ b/1-Runde/Aufgabe5/examples/tour1.txt @@ -0,0 +1,19 @@ +18 +Brauerei,1613,X,0 +Karzer,1665,X,80 +Rathaus,1678,X,150 +Gründungsstein,1685, ,310 +Wallanlage,1690, ,410 +Rathaus,1739,X,500 +Euler-Brücke,1768, ,680 +Fibonacci-Gaststätte,1820,X,710 +Schiefes Haus,1823, ,830 +Theater,1880, ,960 +Emmy-Noether-Campus,1912,X,1090 +Fibonacci-Gaststätte,1923, ,1180 +Hilbert-Raum,1945, ,1300 +Schiefes Haus,1950, ,1400 +Gauß-Turm,1952, ,1450 +Emmy-Noether-Campus,1998,X,1780 +Euler-Brücke,1999, ,1910 +Brauerei,2012, ,2060 diff --git a/1-Runde/Aufgabe5/examples/tour2.txt b/1-Runde/Aufgabe5/examples/tour2.txt new file mode 100644 index 0000000..3f16f22 --- /dev/null +++ b/1-Runde/Aufgabe5/examples/tour2.txt @@ -0,0 +1,19 @@ +18 +Brauerei,1613, ,0 +Karzer,1665,X,80 +Rathaus,1678, ,150 +Gründungsstein,1685, ,310 +Wallanlage,1690, ,410 +Rathaus,1739, ,500 +Euler-Brücke,1768, ,680 +Fibonacci-Gaststätte,1820,X,710 +Schiefes Haus,1823, ,830 +Theater,1880, ,960 +Emmy-Noether-Campus,1912,X,1090 +Fibonacci-Gaststätte,1923, ,1180 +Hilbert-Raum,1945, ,1300 +Schiefes Haus,1950, ,1400 +Gauß-Turm,1952, ,1450 +Emmy-Noether-Campus,1998,X,1780 +Euler-Brücke,1999, ,1910 +Brauerei,2012, ,2060 diff --git a/1-Runde/Aufgabe5/examples/tour3.txt b/1-Runde/Aufgabe5/examples/tour3.txt new file mode 100644 index 0000000..ff9c5e6 --- /dev/null +++ b/1-Runde/Aufgabe5/examples/tour3.txt @@ -0,0 +1,15 @@ +14 +Talstation,1768, ,0 +Wäldle,1805, ,520 +Mittlere Alp,1823, ,1160 +Observatorium,1833, ,1450 +Wäldle,1841, ,1700 +Bergstation,1866, ,2370 +Observatorium,1874,X,2740 +Piz Spitz,1898, ,3210 +Panoramasteg,1912,X,3430 +Bergstation,1928, ,3690 +Ziegenbrücke,1935, ,3870 +Panoramasteg,1952, ,4030 +Ziegenbrücke,1979,X,4280 +Talstation,2005, ,4560 diff --git a/1-Runde/Aufgabe5/examples/tour4.txt b/1-Runde/Aufgabe5/examples/tour4.txt new file mode 100644 index 0000000..ca807cf --- /dev/null +++ b/1-Runde/Aufgabe5/examples/tour4.txt @@ -0,0 +1,30 @@ +29 +Blaues Pferd,1523, ,0 +Alte Mühle,1544, ,110 +Marktplatz,1549, ,210 +Zeughaus,1559, ,310 +Marktplatz,1562, ,410 +Springbrunnen,1571, ,490 +Dom,1596,X,560 +Bogenschütze,1610, ,680 +Marktplatz,1622, ,820 +Ruhiges Eck,1625, ,850 +Frauentor,1636, ,910 +Ruhiges Eck,1651, ,980 +Springbrunnen,1675, ,1000 +Bogenschütze,1683, ,1070 +Schnecke,1698,X,1220 +Fischweiher,1710, ,1400 +Reiterhof,1728,X,1520 +Schnecke,1742, ,1660 +Schmiede,1765, ,1830 +Große Gabel,1794, ,1940 +Schnecke,1829, ,2050 +Europapark,1852, ,2280 +Große Gabel,1874, ,2550 +Fingerhut,1917,X,2620 +Stadion,1934, ,2740 +Marktplatz,1962, ,2830 +Baumschule,1974, ,2910 +Polizeipräsidium,1991, ,3050 +Blaues Pferd,2004, ,3200 diff --git a/1-Runde/Aufgabe5/examples/tour5.txt b/1-Runde/Aufgabe5/examples/tour5.txt new file mode 100644 index 0000000..32efd5d --- /dev/null +++ b/1-Runde/Aufgabe5/examples/tour5.txt @@ -0,0 +1,43 @@ +42 +Gabelhaus,1638, ,0 +Burgruine,1654, ,140 +Labyrinth,1667, ,220 +Hängepartie,1672, ,470 +Hexentanzplatz,1681, ,730 +Gabelhaus,1699, ,820 +Hexentanzplatz,1703,X,980 +Eselsbrücke,1711, ,1100 +Dreibannstein,1724, ,1210 +Alte Wache,1733, ,1340 +Palisadenhaus,1740, ,1490 +Dreibannstein,1752, ,1620 +Schmetterling,1760,X,1770 +Dreibannstein,1781, ,1850 +Märchenwald,1793,X,1930 +Fuchsbau,1811, ,2010 +Torfmoor,1817, ,2120 +Gartenschau,1825, ,2260 +Märchenwald,1840, ,2340 +Eselsbrücke,1855, ,2420 +Heimatmuseum,1863, ,2490 +Eselsbrücke,1877, ,2590 +Reiterdenkmal,1880, ,2730 +Riesenrad,1881, ,2910 +Hochsitz,1885, ,2980 +Gartenschau,1898, ,3060 +Riesenrad,1902, ,3180 +Dreibannstein,1911,X,3310 +Olympisches Dorf,1924, ,3470 +Haus der Zukunft,1927,X,3600 +Stellwerk,1931, ,3720 +Dreibannstein,1938, ,3890 +Stellwerk,1942, ,4020 +Labyrinth,1955, ,4230 +Gauklerstadl,1961, ,4310 +Planetarium,1971,X,4390 +Känguruhfarm,1976, ,4440 +Balzplatz,1978, ,4520 +Dreibannstein,1998,X,4610 +Labyrinth,2013, ,4740 +CO2-Speicher,2022, ,4930 +Gabelhaus,2023, ,5000 diff --git a/1-Runde/Aufgabe5/results/tour1.txt b/1-Runde/Aufgabe5/results/tour1.txt new file mode 100644 index 0000000..5fb5860 --- /dev/null +++ b/1-Runde/Aufgabe5/results/tour1.txt @@ -0,0 +1,16 @@ +Brauerei,1613,X,0 +Karzer,1665,X,80 +Rathaus,1678,X,150 +Rathaus,1739,X,150 +Euler-Brücke,1768, ,330 +Fibonacci-Gaststätte,1820,X,360 +Schiefes Haus,1823, ,480 +Theater,1880, ,610 +Emmy-Noether-Campus,1912,X,740 +Fibonacci-Gaststätte,1923, ,830 +Hilbert-Raum,1945, ,950 +Schiefes Haus,1950, ,1050 +Gauß-Turm,1952, ,1100 +Emmy-Noether-Campus,1998,X,1430 +Euler-Brücke,1999, ,1560 +Brauerei,2012, ,1710 diff --git a/1-Runde/Aufgabe5/results/tour2.txt b/1-Runde/Aufgabe5/results/tour2.txt new file mode 100644 index 0000000..4e17ab2 --- /dev/null +++ b/1-Runde/Aufgabe5/results/tour2.txt @@ -0,0 +1,16 @@ +Brauerei,1613, ,0 +Karzer,1665,X,80 +Rathaus,1678, ,150 +Rathaus,1739, ,150 +Euler-Brücke,1768, ,330 +Fibonacci-Gaststätte,1820,X,360 +Schiefes Haus,1823, ,480 +Theater,1880, ,610 +Emmy-Noether-Campus,1912,X,740 +Fibonacci-Gaststätte,1923, ,830 +Hilbert-Raum,1945, ,950 +Schiefes Haus,1950, ,1050 +Gauß-Turm,1952, ,1100 +Emmy-Noether-Campus,1998,X,1430 +Euler-Brücke,1999, ,1560 +Brauerei,2012, ,1710 diff --git a/1-Runde/Aufgabe5/results/tour3.txt b/1-Runde/Aufgabe5/results/tour3.txt new file mode 100644 index 0000000..85b3574 --- /dev/null +++ b/1-Runde/Aufgabe5/results/tour3.txt @@ -0,0 +1,10 @@ +Talstation,1768, ,0 +Wäldle,1805, ,520 +Mittlere Alp,1823, ,1160 +Observatorium,1833, ,1450 +Observatorium,1874,X,1450 +Piz Spitz,1898, ,1920 +Panoramasteg,1912,X,2140 +Panoramasteg,1952, ,2140 +Ziegenbrücke,1979,X,2390 +Talstation,2005, ,2670 diff --git a/1-Runde/Aufgabe5/results/tour4.txt b/1-Runde/Aufgabe5/results/tour4.txt new file mode 100644 index 0000000..1b37f26 --- /dev/null +++ b/1-Runde/Aufgabe5/results/tour4.txt @@ -0,0 +1,19 @@ +Blaues Pferd,1523, ,0 +Alte Mühle,1544, ,110 +Marktplatz,1549, ,210 +Marktplatz,1562, ,210 +Springbrunnen,1571, ,290 +Dom,1596,X,360 +Bogenschütze,1610, ,480 +Bogenschütze,1683, ,480 +Schnecke,1698,X,630 +Fischweiher,1710, ,810 +Reiterhof,1728,X,930 +Schnecke,1742, ,1070 +Große Gabel,1874, ,960 +Fingerhut,1917,X,1030 +Stadion,1934, ,1150 +Marktplatz,1962, ,1240 +Baumschule,1974, ,1320 +Polizeipräsidium,1991, ,1460 +Blaues Pferd,2004, ,1610 diff --git a/1-Runde/Aufgabe5/results/tour5.txt b/1-Runde/Aufgabe5/results/tour5.txt new file mode 100644 index 0000000..580f46c --- /dev/null +++ b/1-Runde/Aufgabe5/results/tour5.txt @@ -0,0 +1,28 @@ 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Bundeswettbewerb Informatik +# 42. Bundeswettbewerb Informatik + +### [1. Runde](https://bwinf.de/bundeswettbewerb/42/1/) + +- [Aufgaben](./1-Runde/Aufgaben.pdf) +- [A3: Zauberschule](./1-Runde/Aufgabe3/) (5/5) +- [A4: Nandu](./1-Runde/Aufgabe4/) (5/5) +- [A5: Stadtführung](./1-Runde/Aufgabe5/) (4/5)