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 -``` + :::: :::: column +## Cas 1a + +* Comment rééquilibrer? + . . . * ramène `u`, `v` `w` à la même hauteur. +* `v` à droite de `A` (gauche de `B`) + -```{.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) + + + +:::: + +:::: column + +## Cas 1b (symétrique 1a) + +* Comment rééquilibrer? + +. . . + + :::: ::: + +# Les cas de déséquilibre + + +::: columns + +:::: column + +## Cas 2a + +* `v1`, `v2`, `u`, `w` ont la même hauteur. +* déséquilibre en `C` après insertion dans `v2` + + + +:::: + +:::: 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`) + + + +:::: + +::: + + +# Les cas de déséquilibre + + +::: columns + +:::: column + +## Cas 2b (symétrique 2a) + + + +:::: + +:::: column + +## Cas 2b (symétrique 2a) + +* Comment rééquilibrer? + +. . . + + + +:::: + +::: + diff --git a/slides/figs/cas1a_droite.png b/slides/figs/cas1a_droite.png new file mode 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