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gaspard.legouic
cours
Commits
e27d59b8
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e27d59b8
authored
1 year ago
by
orestis.malaspin
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slides/cours_22.md
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@@ -34,13 +34,15 @@ date: "2023-05-19"
# Les B-arbres
\f
ootnotesize
## Structure de données
*
Chaque page a une contrainte de remplissage, par rapport à l'ordre de l'arbre;
*
Un nœud (page) est composé d'un tableau de clés/pointeurs vers les enfants;
```
P_0 | K_1 | P_1 | K_2 | | P_i | K_{i+1} | | P_{m-1} | K_m | P_m
P_0 | K_1 | P_1 | K_2 |
..
| P_i | K_{i+1} |
..
| P_{m-1} | K_m | P_m
```
*
`P_0`
, ...,
`P_m`
pointeurs vers enfants;
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@@ -242,7 +244,8 @@ page inserer_valeur(page, valeur)
## Les fonctions
```
C
rien inserer_element(page, element) // inserer un element et voir s'il remonte
rien inserer_element(page, element) // insérer un element
// et voir s'il remonte
```
. . .
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@@ -305,8 +308,9 @@ rien scinder(page, element)
## Les fonctions (5min matrix)
```
C
page ajouter_niveau(page, element) // si on remonte à la racine...
// on doit créer une nouvelle racine
page ajouter_niveau(page, element) // si on remonte à la
// racine, on doit créer
// une nouvelle racine
```
. . .
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@@ -332,6 +336,8 @@ page ajouter_niveau(page, element)
# Les B-arbres: suppression
\f
ootnotesize
## Cas simple
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@@ -361,10 +367,12 @@ page ajouter_niveau(page, element)
. . .

{width=60%}

{width=60%}
# Les B-arbres: suppression
\f
ootnotesize
## Cas ultra moins simple

{width=60%}
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