diff --git a/slides/cours_23.md b/slides/cours_23.md index 85022b18126410acc5a35f3a60c8c779f34147fa..e2fac895238ef21c105661d1359175226c388c66 100644 --- a/slides/cours_23.md +++ b/slides/cours_23.md @@ -1,6 +1,6 @@ --- title: "B-Arbres" -date: "2022-04-13" +date: "2022-05-03" patat: eval: tai: @@ -300,6 +300,111 @@ page ajouter_niveau(page, element) {width=80%} +# Les B-arbres: suppression + +## Cas simple + + +{width=60%} + +. . . + +* On retire 27, mais.... + * Chaque page doit avoir au moins 2 éléments. + * On doit déplacer des éléments dans une autre feuille! Mais comment? + +. . . + +{width=60%} + +# Les B-arbres: suppression + +## Cas moins simple + +{width=60%} + +. . . + +* Un élément à droite, comment on fait? + * Remonter `7`, serait ok si racine, mais... c'est pas forcément. + * On redistribue les feuilles. + +. . . + +{width=60%} + +# Les B-arbres: suppression + +## Cas ultra moins simple + +{width=60%} + +. . . + +* `7` seul: + * Fusionner les feuilles et redistribuer, comment? + +. . . + +{width=60%} + +# Les B-arbres: suppression + +## Cas ultra moins simple + +{width=60%} + +. . . + +* `8` est seul, c'est plus un B-arbre : + * Fusionner le niveau 2 et redistribuer, comment? + +. . . + +{width=40%} + +. . . + +* La profondeur a diminué de 1. + +# Les B-arbres: suppression + +## Algorithme pour les feuilles! + +* Si la clé est supprimée d'une feuille: + * Si on a toujours `n` (ordre de l'arbre) clés dans la feuille on décale simplement les clés. + * Sinon on combine (récursivement) avec le noeud voisin et on descend la clé médiane. + +# Les B-arbres: suppression + +## Cas non-feuille! + +{width=60%} + +. . . + +* On sait comment effacer une valeur d'une feuille, donc? + +. . . + +{width=60%} + +* Ensuite? + +# Les B-arbres: suppression + +## Cas non-feuille! + +{width=60%} + +. . . + +* On sait comment effacer une valeur d'une feuille! + +. . . + +{width=60%} + <!-- # Les B-arbres --> diff --git a/slides/figs/barbres_ordre2_supp10.svg b/slides/figs/barbres_ordre2_supp10.svg new file mode 100644 index 0000000000000000000000000000000000000000..65c4511a2a431ceb8f7cafccb20270659b7f77c9 --- /dev/null +++ b/slides/figs/barbres_ordre2_supp10.svg @@ -0,0 +1,505 @@ +<?xml version="1.0" encoding="UTF-8" standalone="no"?> +<!-- Created with Inkscape (http://www.inkscape.org/) --> + +<svg + width="434.26978mm" + height="137.93611mm" + viewBox="0 0 434.26978 137.93611" + version="1.1" + id="svg5" + inkscape:version="1.1.2 (0a00cf5339, 2022-02-04, custom)" + sodipodi:docname="barbres_ordre2_supp10.svg" + 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