From aee71b31dac1e7be15bcfeead9544ad0b3fd45cf Mon Sep 17 00:00:00 2001
From: Orestis <orestis.malaspinas@pm.me>
Date: Tue, 8 Mar 2022 00:55:16 +0100
Subject: [PATCH] added all cases for balance

---
 slides/cours_17.md           | 121 ++++++++++++++++++++++++++++-------
 slides/figs/cas1a_droite.png | Bin 0 -> 71970 bytes
 slides/figs/cas1a_gauche.png | Bin 0 -> 73428 bytes
 slides/figs/cas1b_droite.png | Bin 0 -> 68217 bytes
 slides/figs/cas1b_gauche.png | Bin 0 -> 72655 bytes
 slides/figs/cas2a_droite.png | Bin 0 -> 84115 bytes
 slides/figs/cas2a_gauche.png | Bin 0 -> 92580 bytes
 slides/figs/cas2b_droite.png | Bin 0 -> 87239 bytes
 slides/figs/cas2b_gauche.png | Bin 0 -> 93284 bytes
 9 files changed, 98 insertions(+), 23 deletions(-)
 create mode 100644 slides/figs/cas1a_droite.png
 create mode 100644 slides/figs/cas1a_gauche.png
 create mode 100644 slides/figs/cas1b_droite.png
 create mode 100644 slides/figs/cas1b_gauche.png
 create mode 100644 slides/figs/cas2a_droite.png
 create mode 100644 slides/figs/cas2a_gauche.png
 create mode 100644 slides/figs/cas2b_droite.png
 create mode 100644 slides/figs/cas2b_gauche.png

diff --git a/slides/cours_17.md b/slides/cours_17.md
index 88bbe7b..5b2049b 100644
--- a/slides/cours_17.md
+++ b/slides/cours_17.md
@@ -1284,41 +1284,116 @@ graph TD;
 ## Cas 1a
 
 * `u`, `v`, `w` même hauteur.
-* déséquilibre après insertion dans `u`
+* déséquilibre en `B` après insertion dans `u`
 
-```{.mermaid format=pdf width=400 loc=figs/}
-graph TD;
-    id0((B))-->id1((A));
-    id0-->id2[/w\];
-    id1-->id3[/u\];
-    id1-->id4[/v\];
-    id3-->id5((  ));
-    id3-->id6((  ));
-    style id5 fill:#fff,stroke:#fff
-    style id6 fill:#fff,stroke:#fff
-```
+![Après insertion](figs/cas1a_gauche.png)
 
 ::::
 
 :::: column
 
+## Cas 1a
+
+* Comment rééquilibrer?
+
 . . .
 
 * ramène `u`, `v` `w` à la même hauteur.
+* `v` à droite de `A` (gauche de `B`)
 
+![Après équilibrage](figs/cas1a_droite.png)
 
-```{.mermaid format=pdf width=400 loc=figs/}
-graph TD;
-    id0((A))-->id1[/u\];
-    id0-->id2((B));
-    id2-->id3[/v\];
-    id2-->id4[/w\];
-    id1-->id5((  ));
-    id1-->id6((  ));
-    style id5 fill:#fff,stroke:#fff
-    style id6 fill:#fff,stroke:#fff
-```
+::::
+
+:::
+
+# Les cas de déséquilibre
+
+
+::: columns
+
+:::: column
+
+## Cas 1b (symétrique 1a)
+
+![Après insertion](figs/cas1b_gauche.png)
+
+::::
+
+:::: column
+
+## Cas 1b (symétrique 1a)
+
+* Comment rééquilibrer?
+
+. . .
+
+![Après équilibrage](figs/cas1b_droite.png)
 
 ::::
 
 :::
+
+# Les cas de déséquilibre
+
+
+::: columns
+
+:::: column
+
+## Cas 2a
+
+* `v1`, `v2`, `u`, `w` ont la même hauteur.
+* déséquilibre en `C` après insertion dans `v2`
+
+![Après insertion](figs/cas2a_gauche.png)
+
+::::
+
+:::: column
+
+## Cas 2a
+
+* Comment rééquilibrer?
+
+. . .
+
+* ramène `u`, `v1`,  `v2`, `w` à la même hauteur.
+* `v2` à droite de `B` (gauche de `C`)
+* `B` à droite de `A` (gauche de `C`)
+* `v1` à droite de `A` (gauche de `B`)
+
+![Après équilibrage](figs/cas2a_droite.png)
+
+::::
+
+:::
+
+
+# Les cas de déséquilibre
+
+
+::: columns
+
+:::: column
+
+## Cas 2b (symétrique 2a)
+
+![Après insertion](figs/cas2b_gauche.png)
+
+::::
+
+:::: column
+
+## Cas 2b (symétrique 2a)
+
+* Comment rééquilibrer?
+
+. . .
+
+![Après équilibrage](figs/cas2b_droite.png)
+
+::::
+
+:::
+
diff --git a/slides/figs/cas1a_droite.png b/slides/figs/cas1a_droite.png
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-- 
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