From 2af5f3ed80d7e22a41c336a579e9f197fd7f8c67 Mon Sep 17 00:00:00 2001 From: Harald Mueller Date: Thu, 9 Dec 2021 11:44:17 +0100 Subject: [PATCH] muh --- m411/4/AufgabeTask06_ArraySortStackQueue.md | 20 +++ m411/4/AufgabeTask07_BubbleSort.md | 152 ++++++++++++++++++ ...cript3_0_arrays_anwenden_und_sortieren.pdf | Bin 0 -> 233026 bytes m411/4/script3_0_usingArrays.pdf | Bin 0 -> 251352 bytes m411/4/script3_1_bubble_sort_exercise.pdf | Bin 0 -> 150033 bytes .../script3_3_dynamischeStrukturen_stack.pdf | Bin 0 -> 211980 bytes .../script3_4_dynamischeStrukturen_queue.pdf | Bin 0 -> 125944 bytes m411/5/HashMapUndRekursion.pdf | Bin 0 -> 132757 bytes m411/5/HashMapUndRekursion.pptx | Bin 0 -> 55225 bytes m411/README.md | 4 +- 10 files changed, 174 insertions(+), 2 deletions(-) create mode 100644 m411/4/AufgabeTask06_ArraySortStackQueue.md create mode 100644 m411/4/AufgabeTask07_BubbleSort.md create mode 100644 m411/4/script3_0_arrays_anwenden_und_sortieren.pdf create mode 100644 m411/4/script3_0_usingArrays.pdf create mode 100644 m411/4/script3_1_bubble_sort_exercise.pdf create mode 100644 m411/4/script3_3_dynamischeStrukturen_stack.pdf create mode 100644 m411/4/script3_4_dynamischeStrukturen_queue.pdf create mode 100644 m411/5/HashMapUndRekursion.pdf create mode 100644 m411/5/HashMapUndRekursion.pptx diff --git a/m411/4/AufgabeTask06_ArraySortStackQueue.md b/m411/4/AufgabeTask06_ArraySortStackQueue.md new file mode 100644 index 0000000..e1f9a0d --- /dev/null +++ b/m411/4/AufgabeTask06_ArraySortStackQueue.md @@ -0,0 +1,20 @@ +### Aufgabe/Task: Nr. 06 + +Thema: Arrays, Sort, Stack, Queue + +Geschätzter Zeitbedarf: 180-240 min + +#### Aufgabenbeschreibung: + +**Arrays** + + +**Stacks** + + +- [script3_0_usingArrays.pdf](./script3_0_usingArrays.pdf) +- [script3_0_arrays_anwenden_und_sortieren.pdf](./script3_0_arrays_anwenden_und_sortieren.pdf) +- [script3_3_dynamischeStrukturen_stack.pdf](./script3_3_dynamischeStrukturen_stack.pdf) +- [script3_4_dynamischeStrukturen_queue.pdf](./script3_4_dynamischeStrukturen_queue.pdf) + +Bewertung: Keine, ist aber prüfungsrelevant diff --git a/m411/4/AufgabeTask07_BubbleSort.md b/m411/4/AufgabeTask07_BubbleSort.md new file mode 100644 index 0000000..f8a5a2e --- /dev/null +++ b/m411/4/AufgabeTask07_BubbleSort.md @@ -0,0 +1,152 @@ +### Aufgabe/Task: Nr. 07 + +Thema: Bubble-Sort + +Geschätzter Zeitbedarf: 90-120 min + +#### Aufgabenbeschreibung: + +**Bubble Sort** + + (5:32 min) + +Machen Sie zuerst die Kapitel 1-3 (unten) durch und bauen Sie ein Bubble-Sort-Algorithmus. Die Daten lesen Sie über eine Liste von +Nummern aus einer Text-Datei ein. Lassen Sie die Veränderungen nach jedem +Durchgang in eine Datei herausschreiben (Zahlenreihe hintereinander und Komma +separiert / Stand vorher eine Zeile, Stand nachher eine Zeile, Stand nachher +eine Zeile, …) damit man sehen kann, wie sich der Algorithmus verhält und wie sich +die Resultate entwickeln. + + +Bewertung: Keine, ist aber prüfungsrelevant + + +### Der Bubblesort + +**Lernziele:** + +- Sie haben das Prinzip des Bubblesort verstanden +- Sie können eine Aussage über die Effizienz des Bubblesorts machen + +#### 1.) Sortieren in Schritten + +Für die folgenden Aufgaben brauchen Sie Papierschnitzel mit den unten stehenden +Zahlen: + +**51, 13, 9, 44, 18, 93, 25** + +Schreiben Sie diese Zahlen auf Notizpapier auf und schreiben Sie die Entwicklung des BubbleSort Zeile für Zeile untereinander auf. + +##### 1.1) Aufgabe: Sortieren nach Grösse + +Sortieren Sie die Papierschnitzel ausgehend von der obigen Reihenfolge der +Grösse nach aufsteigend, so dass die kleinste Zahl links und die grösste rechts +zu liegen kommt. + +- Können Sie beschreiben, wie Sie vorgegangen sind? + +##### 1.2) Aufgabe: nur benachbarte Schnipsel vertauschen + +Bringen Sie die Papierschnipsel wieder in die Ausgangssituation und sortieren +Sie zum zweiten Mal der Grösse nach aufsteigend. Aber: dieses Mal ist nur eine +**einzige Operation** auf den Papierschnipsel erlaubt, und zwar dürfen Sie nur +jeweils zwei benachbarte Schnipsel vertauschen. + +##### 1.3) Aufgabe: systematisch von links nach rechts + +Bringen Sie die Papierschnipsel wieder in die Ausgangssituation und sortieren +Sie sie wieder durch Vertauschen von Nachbarn, aber wählen Sie diesmal die +Nachbarn systematisch von links nach rechts. Sie tauschen also – falls nötig – +die erste mit der zweiten Zahl, dann die zweite mit der dritten, usw. bis Sie +beim letzten Paar ganz rechts angekommen sind. + +- Können Sie etwas darüber sagen, was bei einem einzelnen Durchgang passiert? + +- Wann können sie aufhören und brauchen keinen weiteren Durchgang mehr? + Notieren Sie sich die Zwischenschritte. + +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | + +#### 2.) Definition Bubblesort-Algorithmus + +Der Bubblesort-Algorithmus sortiert eine Liste von Elementen aufsteigend, indem +er so lange von links nach rechts durch die Liste geht und benachbarte Elemente +vertauscht (falls das linke Element grösser als das rechte ist), bis ein ganzer +Durchgang durch die Liste zu keiner Änderung mehr führt. + +Als Flussdiagramm: + +![](media/0bf179a2c5f431b207fe5c6804bbcfab.jpg) + +#### 3.) Effizienz von Bubblesort + +##### 3.1) Anzahl Durchgänge + +Überlegen Sie sich, wie viele Durchgänge von links nach rechts maximal nötig +sind, um eine Liste mit *n* Elementen zu sortieren. Sortieren Sie folgende Liste +mit dem Bubblesort-Algorithmus und schreiben Sie sämtliche Zwischenschritte auf: + +97, 15, 33, 28, 25, 11, 73 + +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | + +Wie Sie vermutlich gemerkt haben, genügen *n* Durchgänge. Mit jedem Durchgang +landet mindestens eine der Zahlen an seinem definitivem Platz (es genügen sogar +*n-1* Durchgänge, weil die letzte Zahl keinen Nachbar mehr hat, mit dem sie +vertauscht werden könnte). + +##### 3.2) Anzahl Vergleichsoperationen + +In einer Liste mit *n* Zahlen gibt es *n*-1 Paare von benachbarten Zahlen, die +bei einem Durchgang verglichen werden müssen. Und wir haben höchstens *n* +Durchgänge. Somit sind *n*(*n*-1) Vergleichsoperationen maximal nötig. + +Wir können somit sagen, dass es ungefähr *n2* Vergleichsoperationen für eine +Liste mit n Elementen gibt. + +##### 3.3) Aufwand im besten und im schlechtesten Fall + +Wenn die Liste bereits sortiert ist, vergleicht der Algorithmus alle *n-1* +benachbarten Zahlenpaare einmal und stellt fest, dass es nichts zu tun gibt. +Damit ist er fertig und es werden keine Zahlen vertauscht. Das ist der beste und +schnellste Fall und benötigt *n-1* Vergleiche und 0 Vertauschungen. + +##### 3.4) Aufgabe: der schlechteste Fall** + +Überlegen Sie sich die Effizienz im schlechtesten Fall (d.h. wenn eine Liste +absteigend sortiert ist und aufsteigend sortiert werden soll). + +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---| +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | +| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | + +**Lösung**: + +Die grösste Zahl steht zu Beginn ganz links und wird im ersten Durchgang in n-1 +Vertauschungen ans rechte Ende der Liste gebracht. Die übrigen Elemente der +Liste wandern einen Platz nach links. Jetzt liegt die zweitgrösste Zahl ganz +links und wird im zweiten Durchgang in n-2 Vertauschungen ans rechte Ende der +Liste links der grössten Zahl verschoben. Usw. + +Das heisst, wir haben: + +*(n-1) + (n-2) + …. + 1 = n(n-1)/2* + +Quelle: ETH-Unterlagen, Stand August 2015 + diff --git a/m411/4/script3_0_arrays_anwenden_und_sortieren.pdf b/m411/4/script3_0_arrays_anwenden_und_sortieren.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ce9d0e1239704bfb6d6a4ce10984eed56b319af4 GIT binary patch literal 233026 zcmdSBbyQr-wueg~KyW8WfQAqp8g~i7-912XcMldUNN@-)!GgO>aCZsr?(Y5?va@$` z_CDv{`|kbYJ;q?r-K%6){btQt_02`UlI9nrrlVm&fPGaC`ayuD1JD92w2cv9IXQvy zPL_H=J}p}B(AH*aDbX z9*an5S(}KM>sx@Dd3dR(3jh_<o`;@)GwjhIAfJVuxh;SdC}yNu4g|pTXn{K5*Nz^_{jDR=@IkiO{xN=8JsS%l4HRSq&^`7J6l4O>{ZWh=Ku`N%7-&ia9BqZgL|ppYCZfc1|O($*F_a(cFEK#*KOc|Av4pokerk2gR5@csBB@-Pn2{OTHMy|Hjq z168F3Fw@ZkSlH;*0icO8w*`&B2JmCjg{&>?EJ6J}YW(;HCE;Y6Od01 z$ggK_q@yP*^aj+fyq2~NsK^hsf6RsrfcDpkduaIQ#0eUi+Ui*Y1x-Pt;@8u$(A5Kq z>zNza8Uh$t8CV}`+1Og^X_+CwIwpL3J8eEKjOxm=;J%Pn=4WJo%>AscC{dSWvXAH! z7TP;fFAvip)DF~D!fZ$Fo%J=`HF6}i%o>p{qUqwY{HI0yVG@dV4x`zWHZH1Tm!}&! 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