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| author | Florian Fischer <florian.fischer@muhq.space> | 2024-11-20 10:51:40 +0100 |
|---|---|---|
| committer | Florian Fischer <florian.fischer@muhq.space> | 2024-11-20 10:51:40 +0100 |
| commit | eab98cf90c92222efb9ed05f1e665eb6614f78f8 (patch) | |
| tree | bc084d563dfd0de18b6cd5ab897ae67878016155 | |
| parent | 6d0a53d01b131a24dd3c5bf89081ceaf4392d3f1 (diff) | |
| download | unterricht-eab98cf90c92222efb9ed05f1e665eb6614f78f8.tar.gz unterricht-eab98cf90c92222efb9ed05f1e665eb6614f78f8.zip | |
add past info lesson
| l--------- | Info/24_25/11/04/11C/BFS | 1 | ||||
| l--------- | Info/24_25/11/04/11C/Dijkstra | 1 | ||||
| -rw-r--r-- | Info/24_25/11/04/11C/img/biber.png | bin | 0 -> 104094 bytes | |||
| -rw-r--r-- | Info/24_25/11/04/11C/img/bike.png | bin | 0 -> 1355429 bytes | |||
| -rw-r--r-- | Info/24_25/11/04/11C/schedule.md | 30 | ||||
| -rw-r--r-- | Info/24_25/11/04/11C/slides.md | 288 |
6 files changed, 320 insertions, 0 deletions
diff --git a/Info/24_25/11/04/11C/BFS b/Info/24_25/11/04/11C/BFS new file mode 120000 index 00000000..9a80621a --- /dev/null +++ b/Info/24_25/11/04/11C/BFS @@ -0,0 +1 @@ +../../../../11/NTG/1/Breitensuche/
\ No newline at end of file diff --git a/Info/24_25/11/04/11C/Dijkstra b/Info/24_25/11/04/11C/Dijkstra new file mode 120000 index 00000000..74065ebd --- /dev/null +++ b/Info/24_25/11/04/11C/Dijkstra @@ -0,0 +1 @@ +../../../../11/NTG/1/Dijkstra/
\ No newline at end of file diff --git a/Info/24_25/11/04/11C/img/biber.png b/Info/24_25/11/04/11C/img/biber.png Binary files differnew file mode 100644 index 00000000..f981e2b1 --- /dev/null +++ b/Info/24_25/11/04/11C/img/biber.png diff --git a/Info/24_25/11/04/11C/img/bike.png b/Info/24_25/11/04/11C/img/bike.png Binary files differnew file mode 100644 index 00000000..8eb55c15 --- /dev/null +++ b/Info/24_25/11/04/11C/img/bike.png diff --git a/Info/24_25/11/04/11C/schedule.md b/Info/24_25/11/04/11C/schedule.md new file mode 100644 index 00000000..616c0299 --- /dev/null +++ b/Info/24_25/11/04/11C/schedule.md @@ -0,0 +1,30 @@ +--- +lang: de +geometry: margin=2cm +--- +# Impl Breitensuche / Bieber + +* **Klasse**: 11C +* **Datum**: 04.11 + +## Lernziele + +## Verlaufplan + +--------------------------------------------------------------------------------------------------- +Zeit Phase Unterrichtsgeschehen Ziel Methode Medien +----- --------------- -------------------------------------------- ----------- ---------- --------- +5 Orga + +5 Wdh Dijkstra + +5 Wdh Dijkstra Fahrrad + +5 Wdh Dijkstra Manfred + +20 Erarbeitung BS Code + +5 Sicherung BS Code + +45 Bieber +--------------------------------------------------------------------------------------------------- diff --git a/Info/24_25/11/04/11C/slides.md b/Info/24_25/11/04/11C/slides.md new file mode 100644 index 00000000..d32f0c23 --- /dev/null +++ b/Info/24_25/11/04/11C/slides.md @@ -0,0 +1,288 @@ +--- +header-includes: | + \makeatletter + \beamer@ignorenonframefalse + \makeatother + \usetikzlibrary{graphs, shapes, quotes} + \usetikzlibrary{overlay-beamer-styles} + \usepackage{changepage} + \usepackage{adjustbox} + \newcommand\revealtexton[3]{\textbf{\only<-#2>{\textcolor{bg}{#1}}\only<#3->{\textcolor{red}{#1}}}} + \newcommand\textvtt[1]{{\normalfont\fontfamily{cmvtt}\selectfont #1}} +--- + +## {.standout} +Herzlich Willkommen! + +Du kannst dich schon anmelden + +\texttt{vorname.nachname} + +und den Bildschirm ausschalten. + +## Wo ist der Zusammenhang? + +::: {.columns} +:::: {.column width=50%} + +:::: + +:::: {.column width=50%} + +:::: +::: + +## \faIcon{chalkboard-teacher} Wir Planen unsere Radreise +::: {.columns align=center} +:::: {.column width=70%} +\resizebox{\textwidth}{!}{ +\newcolumntype{C}{ >{\centering\arraybackslash} m{1.5cm} } +\newcolumntype{D}{ >{\centering\arraybackslash} m{1.4cm} } + \renewcommand{\arraystretch}{1.5}% Spread rows out... +\begin{tabular}{c|C|D|D|D|D|D|D|c} +Ort & Traunstein \newline (Tra) & Innsbruck \newline (Is) & Millstatt \newline (M) & Trient \newline (Tri) & Innichen \newline (Ic) & Treviso \newline (Tre) & Venedig \newline (V) & Warteschlange\\ +\hline +- & \only<2->{$0/-$ & $\infty/-$ & $\infty/-$ & $\infty/-$ & $\infty/-$ & $\infty/-$ & $\infty/-$ & Tra}\only<1>{&&&&&&&} \\ +\hline +\only<3->{Tra} & \only<3->{\cellcolor{red!30}$0/-$} & \only<3->{$138/$Tra} & \only<3->{$211/$Tra} & & & & & \only<3->{Is, M} \\ +\hline +\only<4->{Is} & & \only<4->{\cellcolor{red!30}$138/$Tra} & & \only<4->{$327/$Is} & \only<4->{$277/$Is} & & & \only<4->{M, Ic, Tri} \\ +\hline +\only<5->{M} & & & \only<5->{\cellcolor{red!30}$211/$Tra} & & & & \only<5->{$489/$M} & \only<5->{Ic, Tri, V} \\ +\hline +\only<6->{Ic} & & & & & \only<6->{\cellcolor{red!30}$277/$Is} & \only<6->{$434/$Ic} & & \only<6->{Tri, Tre, V} \\ +\hline +\only<7->{Tri} & & & & \only<7->{\cellcolor{red!30}$327/$Is} & & & & \only<7->{Tre, V} \\ +\hline +\only<8->{Tre} & & & & & & \only<8->{\cellcolor{red!30}$434/$Ic} & \only<8->{$472/$Tre} & \only<8->{V} \\ +\hline +\only<9->{V} & & & & & & & \only<9->{\cellcolor{red!30}$472/$Tre} & \\ +\hline +\end{tabular} +} +\begin{tikzpicture}[overlay, remember picture] +\only<12->{\draw[-Triangle, red, line width=1pt] (6.9, 0.2) -- (6.6, 0.4);} +\only<13->{\draw[-Triangle, red, line width=1pt] (6, 0.8) -- (5.5, 1.45);} +\only<14->{\draw[-Triangle, red, line width=1pt] (5, 1.75) -| (2.5, 2.3);} +\only<15->{\draw[-Triangle, red, line width=1pt] (2, 2.8) -- (1.8, 3);} +\end{tikzpicture} +:::: + +:::: {.column width=30%} +\resizebox{\textwidth}{!}{ +\begin{tikzpicture}[ + graph vertex/.style={draw, ellipse, inner xsep=1pt, inner ysep=1mm}, + edge label/.style={fill=yellow!30}, + marked/.style={fill=blue!40}, + marked on/.style={alt=####1{marked}{}}, + active/.style={fill=red!40}, + active on/.style={alt=####1{active}{}}, +] +\node[graph vertex, marked on=<3->, active on=<3>] (ts) {Traunstein}; +\node[graph vertex, marked on=<4->, active on=<4>] (ib) at (-2.5, -2) {Innsbruck}; +\node[graph vertex, marked on=<5->, active on=<5>] (ms) at (1.5, -2.5) {Millstatt}; +\node[graph vertex, marked on=<6->, active on=<6>] (ic) at (-1, -3.5) {Innichen}; +\node[graph vertex, marked on=<7->, active on=<7>] (tr) at (-3.5, -4) {Trient}; +\node[graph vertex, marked on=<8->, active on=<8>] (tv) at (-2, -5.25) {Treviso}; +\node[graph vertex, marked on=<9->, active on=<9>] (vd) at (0.5, -6) {Venedig}; + +\graph[edge quotes mid] { + (ts) -- ["138" edge label] (ib), + (ts) -- ["138" edge label] (ib), + (ts) -- ["211" edge label] (ms), + (ib) -- ["139" edge label] (ic), + (ib) -- ["189" edge label] (tr), + (ms) -- ["120" edge label] (ic), + (tr) -- ["136" edge label] (tv), + (ic) -- ["157" edge label] (tv), + (ms) -- ["278" edge label] (vd), + (tv) -- ["38" edge label] (vd), +}; +\end{tikzpicture} +} +:::: +::: + +\only<10->{Kürzester Weg:} \only<15->{\textbf{Tra/Is/Ic/Tre/V}} + + +## \faIcon{pencil-alt} Arbeitsauftrag: Ausbessern + +\small +\begin{adjustbox}{center=-1.2cm} +\begin{minipage}{1.1\textwidth} +\begin{pseudocode} +\textvtt{Weise allen Knoten die beiden Eigenschaften „Distanz“ und „Vorgänger“ zu.} +\vspace{0.1cm} + +\textvtt{Initialisiere die Distanz des Startknoten mit 0 und die der anderen Knoten mit $\infty$.} +\vspace{0.1cm} + +\textvtt{Füge den Startknoten der Warteschlange hinzu.} +\vspace{0.1cm} + +\textvtt{Solange die Warteschlange nicht leer ist ...} +\vspace{0.1cm} + +\begin{adjustwidth}{0.5cm}{} +\textvtt{Nimm den Knoten mit minimaler (aufsummierter) Distanz aus der Warteschlange.} +\vspace{0.1cm} + +\textvtt{Markiere diesen Knoten.} +\vspace{0.1cm} + +\textvtt{Berechne für alle unmarkierten Nachbarn die Gesamtdistanz des Pfades zum Startknoten ($\text{Kantengewicht} + \text{Distanz des aktuellen Knotens}$) \revealtexton{und füge sie der Warteschlange hinzu}{1}{2}.} +\vspace{0.1cm} + +\textvtt{Ist dieser Wert kleiner als die für diesen Nachbarn gespeicherte Distanz, aktualisiere sie und speichere den aktuellen Knoten als Vorgänger.} +\end{adjustwidth} +\end{pseudocode} +\end{minipage} +\end{adjustbox} + +## \faIcon{pencil-alt} AB: Dijkstra in Manfreds Labyrinth {.t} + +Fülle die Tabelle zu dem Teilgraph von Manfreds Labyrinth auf deinem Arbeitsblatt. + +::: {.columns} +:::: {.column width=70%} +\resizebox{\textwidth}{!}{ +\renewcommand{\arraystretch}{1.5}% Spread rows out... +\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c} +Raum & 2 & 4 & 7 & 9 & 10 & 11 & 12 & 13 & WS \\ \hline +& {\small D|V} & {\small D|V} & {\small D|V} & {\small D|V} & {\small D|V} & {\small D|V} & {\small D|V} & {\small D|V} & \\[-0.1cm] \hline \only<-1>{&&&&&&&&&}\only<2->{- & $\infty|-$ & $\infty|-$ & $\infty|-$ & $\infty|-$ & $\infty|-$ & $\infty|-$ & $\infty|-$ & $0|-$ & 13} \\\hline +\only<-2>{&&&&&&&&&}\only<3->{13 & $\infty|-$ & $\infty|-$ & $\infty|-$ & $\infty|-$ & $5|9$ & $\infty|-$ & $4|9$ & \cellcolor{red!30}$0|-$ & 12, 10} \\\hline +\only<-3>{&&&&&&&&&}\only<4->{12 & $\infty|-$ & $\infty|-$ & $\infty|-$ & $\infty|-$ & $5|9$ & $9|12$ & \cellcolor{red!30} $4|9$ & \cellcolor{gray!30} $0|-$ & 10, 11} \\\hline +\only<-4>{&&&&&&&&&}\only<5->{10 & $\infty|-$ & $\infty|-$ & $\infty|-$ & $10|10$ & \cellcolor{red!30} $5|9$ & $9|12$ & \cellcolor{gray!30} $4|9$ & \cellcolor{gray!30} $0|-$ & 11, 9} \\\hline +\only<-5>{&&&&&&&&&}\only<6->{11 & $\infty|-$ & $\infty|-$ & $15|11$ & $10|10$ & \cellcolor{gray!30} $5|9$ & \cellcolor{red!30} $9|12$ & \cellcolor{gray!30} $4|9$ & \cellcolor{gray!30} $0|-$ & 9, 7} \\\hline +\only<-6>{&&&&&&&&&}\only<7->{9 & $\infty|-$ & $14|9$ & $15|11$ & \cellcolor{red!30} $10|10$ & \cellcolor{gray!30} $5|9$ & \cellcolor{gray!30} $9|12$ & \cellcolor{gray!30} $4|9$ & \cellcolor{gray!30} $0|-$ & 4, 7} \\\hline +\only<-7>{\phantom{4} & \phantom{$20|4$} & \phantom{$14|9$} & \phantom{$15|11$} & \phantom{$10|10$} & \phantom{$5|9$} & \phantom{$9|12$} & \phantom{$4|9$} & \phantom{$0|-$} & \phantom{7, 2}}\only<8->{4 & $20|4$ & \cellcolor{red!30} $14|9$ & $15|11$ & \cellcolor{gray!30} $10|10$ & \cellcolor{gray!30} $5|9$ & \cellcolor{gray!30} $9|12$ & \cellcolor{gray!30} $4|9$ & \cellcolor{gray!30} $0|-$ & 7, 2} \\\hline +\only<-8>{&&&&&&&&&}\only<9->{7 & $19|7$ & \cellcolor{gray!30} $14|9$ & \cellcolor{red!30} $15|11$ & \cellcolor{gray!30} $10|10$ & \cellcolor{gray!30} $5|9$ & \cellcolor{gray!30} $9|12$ & \cellcolor{gray!30} $4|9$ & \cellcolor{gray!30} $0|-$ & 2 } \\\hline +\only<-9>{&&&&&&&&&}\only<10->{2 & \cellcolor{red!30} $19|7$ & \cellcolor{gray!30} $14|9$ & \cellcolor{gray!30} $15|11$ & \cellcolor{gray!30} $10|10$ & \cellcolor{gray!30} $5|9$ & \cellcolor{gray!30} $9|12$ & \cellcolor{gray!30} $4|9$ & \cellcolor{gray!30} $0|-$ &} \\ +\end{tabular} +} +:::: + +:::: {.column width=30%} +\resizebox{\textwidth}{!}{ +\begin{tikzpicture}[ + graph vertex/.style={draw, circle, minimum size=0.55cm, inner sep =0pt}, + edge label/.style={inner sep=0pt, circle, fill=white}, + marked/.style={fill=blue!40}, + marked on/.style={alt=####1{marked}{}}, + active/.style={fill=red!40}, + active on/.style={alt=####1{active}{}}, + toilet/.style={fill=teal!30}, + start/.style={draw=red, thick}, + start on/.style={alt=####1{start}{}}, +] +\node[graph vertex, toilet, marked on=<10->, active on=<10>] (v2) at (2.50, 5.00) {2}; +\node[graph vertex, marked on=<9->, active on=<9>] (v4) at (4.00, 4.15) {4}; +\node[graph vertex, marked on=<8->, active on=<8>] (v7) at (2.80, 3.00) {7}; +\node[graph vertex, marked on=<7->, active on=<7>] (v9) at (4.00, 2.55) {9}; +\node[graph vertex, marked on=<5->, active on=<5>] (v10) at (5.50, 2.20) {10}; +\node[graph vertex, marked on=<6->, active on=<6>] (v11) at (2.90, 1.50) {11}; +\node[graph vertex, marked on=<4->, active on=<4>] (v12) at (4.20, 1.1) {12}; +\node[graph vertex, start on=<1>, marked on=<3->, active on=<3>] (v13) at (5.50, .80) {13}; + +\graph[edge quotes mid] { + (v2) --["6" edge label] (v4), + (v4) --["4" edge label] (v9), + (v2) --["4" edge label] (v7), + (v7) --["5" edge label] (v9), + (v7) --["6" edge label] (v11), + (v9) --["8" edge label] (v11), + (v9) --["5" edge label] (v10), + (v10) --["9" edge label] (v11), + (v11) --["5" edge label] (v12), + (v12) --["4" edge label] (v13), + (v10) --["5" edge label] (v13), +}; +\end{tikzpicture} +} +:::: +::: + +## Einen Schritt zurück: Breitensuche implementieren + +::: {.columns} +:::: {.column width=50%} + +:::: + +:::: {.column width=50%} +\pause +\resizebox{\textwidth}{!}{ +\begin{tikzpicture} + \node at (-2.25, 4.5) {\textbf{Knotenfeld}}; + \node at (.5, 4.5) {\textbf{Markierungen}}; + + \node[anchor=south west, minimum size=1cm, fill=gray!30] at (-3, 0) {}; + + \foreach \y in {0,...,3} { + \node[anchor=south west, minimum size=1cm, draw] at (-3, \y) {}; + } + + \foreach \y in {0,...,3} { + \node at (-1.75, 3.5 - \y) {\textbf \y}; + } + + \begin{object}[text width=3cm]{v1: Knoten}{-5.15, 4.5} + \attribute{name = "v1"} + \end{object} + \node[draw, circle, fill, inner sep=1pt] at (-2.5, 3.5) {}; + \draw[-Triangle, thick] (-2.5, 3.5) -- (-3.5, 4); + + \begin{object}[text width=3cm]{v2: Knoten}{-5.15, 3} + \attribute{name = "v2"} + \end{object} + \node[draw, circle, fill, inner sep=1pt] at (-2.5, 2.5) {}; + \draw[-Triangle, thick] (-2.5, 2.5) -- (-3.5, 2.5); + + \begin{object}[text width=3cm]{v3: Knoten}{-5.15, 1.5} + \attribute{name = "v3"} + \end{object} + \node[draw, circle, fill, inner sep=1pt] at (-2.5, 1.5) {}; + \draw[-Triangle, thick] (-2.5, 1.5) -- (-3.5, 1); + + \node[] at (-5.8, -0.25) {\textbf{anzKnoten = 3}}; + + \foreach \y in {0,...,3} { + \node at (-0.25, 3.5 - \y) {\textbf \y}; + } + + \node[anchor=south west, minimum size=1cm, fill=gray!30] at (0, 0) {}; + \foreach \y in {0,...,3} { + \node[anchor=south west, minimum size=1cm, draw] at (0, \y) {}; + } + + \draw[Triangle-Triangle, thick, dashed] (-1.6, 3.5) -- (-0.4, 3.5); + \node at (-1.75, 3.5) {\boldred{0}}; + \node at (-0.25, 3.5) {\textbf{\textcolor{magenta}{0}}}; +\end{tikzpicture} +} +:::: +::: + + +## \faIcon{desktop} Arbeitsauftrag: Breitensuche implementieren - 15min + +Logge dich in der Online-IDE [https://online-ide.de](https://online-ide.de) ein und öffne das Projekt **Breitensuche**. + +1. Implementiere die ersten beiden Schritte der Breitensuche +2. Implementiere das Einfügen und Markieren aller \underline{unmarkierter Nachbarknoten} +3. Implementiere eine Methode die prüft, ob der Graph zusammenhängend ist. + +## Biber Wettbewerb + +::: {.columns align=center} +:::: {.column width=50%} +1. Einloggen unter [https://ib.bwinf.de](https://ib.bwinf.de) +2. (Team-Mitglieder einloggen) +3. **Wir starten gemeinsam**!! +:::: + +:::: {.column width=50%} + +:::: +::: |
