From 58237c44abce443ded5cc0f5dad9ddf23ff90196 Mon Sep 17 00:00:00 2001
From: Orestis <orestis.malaspinas@pm.me>
Date: Tue, 28 Mar 2023 19:03:40 +0200
Subject: [PATCH] should remove code for some rotate

---
 slides/cours_18.md                            | 296 ++++++++++++++++++
 slides/figs/double_rotation_gauche_droite.png | Bin 0 -> 67354 bytes
 slides/figs/facteur_equilibre.png             | Bin 0 -> 36727 bytes
 slides/figs/rotation_gauche_droite.png        | Bin 0 -> 58276 bytes
 4 files changed, 296 insertions(+)
 create mode 100644 slides/figs/double_rotation_gauche_droite.png
 create mode 100644 slides/figs/facteur_equilibre.png
 create mode 100644 slides/figs/rotation_gauche_droite.png

diff --git a/slides/cours_18.md b/slides/cours_18.md
index 909114b..42a9388 100644
--- a/slides/cours_18.md
+++ b/slides/cours_18.md
@@ -636,3 +636,299 @@ graph TD;
 
 :::
 
+# Encore un petit exercice
+
+* Insérer les nœuds suivants dans un arbre AVL
+
+```
+25 | 60 | 35 | 10 | 5 | 20 | 65 | 45 | 70 | 40 | 50 | 55 | 30 | 15
+```
+
+## Un à un et le/la premier/ère qui poste la bonne réponse sur matrix a un point
+
+# Suppression dans un arbre AVL
+
+
+::: columns
+
+:::: column
+
+## Algorithme par problème: supprimer 10
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((8))-->id1((4));
+    id0-->id2((10));
+    id1-->id3((2));
+    id1-->id4((6));
+    id3-->id5((1));
+    id3-->id6((  ))
+    id4-->id7((  ))
+    id4-->id8((7))
+    id2-->id9((9))
+    id2-->id10((14))
+    id10-->id11((12))
+    id10-->id12((16))
+    style id6 fill:#fff,stroke:#fff
+    style id7 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::: column
+
+. . .
+
+## Algorithme par problème: supprimer 10
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((8))-->id1((4));
+    id0-->id2((12));
+    id1-->id3((2));
+    id1-->id4((6));
+    id3-->id5((1));
+    id3-->id6((  ))
+    id4-->id7((  ))
+    id4-->id8((7))
+    id2-->id9((9))
+    id2-->id10((14))
+    id10-->id11((  ))
+    id10-->id12((16))
+    style id6 fill:#fff,stroke:#fff
+    style id7 fill:#fff,stroke:#fff
+    style id11 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::
+
+# Suppression dans un arbre AVL
+
+
+::: columns
+
+:::: column
+
+## Algorithme par problème: supprimer 8
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((8))-->id1((4));
+    id0-->id2((12));
+    id1-->id3((2));
+    id1-->id4((6));
+    id3-->id5((1));
+    id3-->id6((  ))
+    id4-->id7((  ))
+    id4-->id8((7))
+    id2-->id9((9))
+    id2-->id10((14))
+    id10-->id11((  ))
+    id10-->id12((16))
+    style id6 fill:#fff,stroke:#fff
+    style id7 fill:#fff,stroke:#fff
+    style id11 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::: column
+
+. . .
+
+## Algorithme par problème: rotation de 12
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((9))-->id1((4));
+    id0-->id2((12));
+    id1-->id3((2));
+    id1-->id4((6));
+    id3-->id5((1));
+    id3-->id6((  ))
+    id4-->id7((  ))
+    id4-->id8((7))
+    id2-->id9((  ))
+    id2-->id10((14))
+    id10-->id11((  ))
+    id10-->id12((16))
+    style id6 fill:#fff,stroke:#fff
+    style id7 fill:#fff,stroke:#fff
+    style id9 fill:#fff,stroke:#fff
+    style id11 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::
+
+# Suppression dans un arbre AVL
+
+::: columns
+
+:::: column
+
+## Algorithme par problème: rotation de 12
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((9))-->id1((4));
+    id0-->id2((14));
+    id1-->id3((2));
+    id1-->id4((6));
+    id3-->id5((1));
+    id3-->id6((  ))
+    id4-->id7((  ))
+    id4-->id8((7))
+    id2-->id9((12))
+    id2-->id10((16))
+    style id6 fill:#fff,stroke:#fff
+    style id7 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::: column
+
+. . .
+
+1. On supprime comme d'habitude.
+2. On rééquilibre si besoin à l'endroit de la suppression.
+
+* Facile non?
+
+. . .
+
+* Plus dur....
+
+::::
+
+:::
+
+# Suppression dans un arbre AVL 2.0
+
+::: columns
+
+:::: column
+
+## Algorithme par problème: suppression de 30
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((50))-->id1((30));
+    id0-->id2((100));
+    id1-->id3((10));
+    id1-->id4((40));
+    id3-->id5((  ));
+    id3-->id6((20))
+    id2-->id7((80))
+    id2-->id8((200))
+    id7-->id9((70))
+    id7-->id10((90))
+    id9-->id11((60))
+    id9-->id12((  ))
+    id8-->id13((  ))
+    id8-->id14((300))
+    style id5 fill:#fff,stroke:#fff
+    style id12 fill:#fff,stroke:#fff
+    style id13 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::: column
+
+. . .
+
+## Algorithme par problème: rotation GD autour de 40
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((50))-->id1((40));
+    id0-->id2((100));
+    id1-->id3((10));
+    id1-->id4((  ));
+    id3-->id5((  ));
+    id3-->id6((20))
+    id2-->id7((80))
+    id2-->id8((200))
+    id7-->id9((70))
+    id7-->id10((90))
+    id9-->id11((60))
+    id9-->id12((  ))
+    id8-->id13((  ))
+    id8-->id14((300))
+    style id4 fill:#fff,stroke:#fff
+    style id5 fill:#fff,stroke:#fff
+    style id12 fill:#fff,stroke:#fff
+    style id13 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::
+
+# Suppression dans un arbre AVL 2.0
+
+::: columns
+
+:::: column
+
+## Argl! 50 est déséquilibré!
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((50))-->id1((20));
+    id0-->id2((100));
+    id1-->id3((10));
+    id1-->id4((40));
+    id2-->id7((80))
+    id2-->id8((200))
+    id7-->id9((70))
+    id7-->id10((90))
+    id9-->id11((60))
+    id9-->id12((  ))
+    id8-->id13((  ))
+    id8-->id14((300))
+    style id12 fill:#fff,stroke:#fff
+    style id13 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::: column
+
+. . .
+
+## Algorithme par problème: rotation DG autour de 50
+
+```{.mermaid format=pdf width=400 loc=figs/}
+graph TD;
+    id0((80))-->id1((50));
+    id0-->id2((100));
+    id1-->id3((20));
+    id1-->id4((70));
+    id3-->id5((10));
+    id3-->id6((40));
+    id4-->id9((60))
+    id4-->id10((  ))
+    id2-->id7((90))
+    id2-->id8((200))
+    id8-->id13((  ))
+    id8-->id14((300))
+    style id10 fill:#fff,stroke:#fff
+    style id13 fill:#fff,stroke:#fff
+```
+
+::::
+
+:::
+
+# Résumé de la suppression
+
+1. On supprime comme pour un arbre binaire de recherche.
+2. Si un nœud est déséquilibré, on le rééquilibre.
+    * Cette opération pour déséquilibrer un autre nœud.
+3. On continue à rééquilibrer tant qu'il y a des nœuds à équilibrer.
diff --git a/slides/figs/double_rotation_gauche_droite.png b/slides/figs/double_rotation_gauche_droite.png
new file mode 100644
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-- 
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