From c58817fb983eb5a9746ea0baa384b79d8337f21b Mon Sep 17 00:00:00 2001
From: Orestis <orestis.malaspinas@pm.me>
Date: Wed, 15 Mar 2023 08:51:30 +0100
Subject: [PATCH] mostly formating and added image
---
slides/cours_16.md | 127 +++++++++-
slides/figs/heap_tree.svg | 498 ++++++++++++++++++++++++++++++++++++++
2 files changed, 615 insertions(+), 10 deletions(-)
create mode 100644 slides/figs/heap_tree.svg
diff --git a/slides/cours_16.md b/slides/cours_16.md
index 76820ce..7b275ec 100644
--- a/slides/cours_16.md
+++ b/slides/cours_16.md
@@ -70,8 +70,8 @@ ajout(arbre, clé)
tree_t position(tree_t tree, key_t key) {
tree_t current = tree;
if (NULL != current) {
- tree_t subtree = key > current->key ? current->right :
- current->left;
+ tree_t subtree =
+ key > current->key ? current->right : current->left;
while (key != current->key && NULL != subtree) {
current = subtree;
subtree = key > current->key ? current->right :
@@ -95,7 +95,7 @@ tree_t position(tree_t tree, key_t key) {
```C
tree_t add_key(tree_t *tree, key_t key) {
- node_t *new_node = calloc(1, sizeof(*new_node)); // nouveauté!
+ node_t *new_node = calloc(1, sizeof(*new_node));
new_node->key = key;
if (NULL == *tree) {
*tree = new_node;
@@ -115,10 +115,115 @@ tree_t add_key(tree_t *tree, key_t key) {
}
```
-# La suppression de clé
+# La version PK (1/N)
+```C
+typedef struct _node {
+ int info;
+ struct _node *left, *right;
+} node;
+typedef node *tree;
+void parcours_infixe(tree arbre, int n){
+ if(arbre!=NULL){
+ parcours_infixe(arbre->left, n+1);
+ for(int i=0; i<n; i++){
+ printf(" ");
+ }
+ printf("%d\n", arbre->info);
+ parcours_infixe(arbre->right, n+1);
+ }
+}
+```
+
+# La version PK (2/N)
+
+```C
+tree recherche(int cle, tree arbre){
+ while(arbre != NULL){
+ if(arbre->info == cle) return arbre;
+ if(arbre->info > cle){
+ arbre = arbre->left;
+ }else if(arbre->info < cle){
+ arbre = arbre->right;
+ }
+ }
+ return NULL;
+}
+
+```
+
+# La version PK (3/N)
+
+\footnotesize
+
+```C
+node* parent_insertion(int donnee, tree arbre){
+ if(arbre != NULL){
+ node* suivant = NULL;
+ if(arbre->info > donnee){
+ suivant = arbre->left;
+ } else {
+ suivant = arbre->right;
+ }
+ while(suivant != NULL && arbre->info != donnee){
+ arbre = suivant;
+ if(arbre->info > donnee){
+ suivant = arbre->left;
+ } else {
+ suivant = arbre->right;
+ }
+ }
+ }
+ return arbre;
+}
+
+```
+
+# La version PK (4/N)
+
+\footnotesize
+
+```C
+node* nouveau_noeud(int donnee){
+ node* new_node = malloc(sizeof(node));
+ new_node->info = donnee;
+ new_node->left = NULL;
+ new_node->right = NULL;
+ return new_node;
+}
+tree insertion(int donnee, tree arbre){
+ if(arbre == NULL){
+ arbre = nouveau_noeud(donnee);
+ } else {
+ node* parent = parent_insertion(donnee, arbre);
+ if(donnee > parent->info){
+ parent->right = nouveau_noeud(donnee);
+ } else if(donnee < parent->info) {
+ parent->left = nouveau_noeud(donnee);
+ }
+ }
+ return arbre;
+}
+```
+
+# La version PK (5/N)
+
+```C
+int main(){
+ tree arbre = NULL;
+
+ arbre = insertion(2, arbre);
+ arbre = insertion(1, arbre);
+ arbre = insertion(8, arbre);
+ arbre = insertion(10, arbre);
+ arbre = insertion(5, arbre);
+
+ parcours_infixe(arbre, 0);
+}s
+```
+
+# La suppression de clé
-. . .
::: columns
@@ -132,7 +237,7 @@ tree_t add_key(tree_t *tree, key_t key) {
## Une feuille (le 19 p.ex.).
-```{.mermaid format=pdf width=400 loc=figs/}
+```{.mermaid format=pdf width=150 loc=figs/}
flowchart TB;
10-->20;
10-->5
@@ -259,6 +364,8 @@ arbre parent(arbre, sous_arbre)
# Le pseudo-code de la suppression
+\footnotesize
+
## Pour un seul enfant (5min -> matrix)
. . .
@@ -274,7 +381,7 @@ arbre suppression(arbre, clé)
sinon
gauche(parent) = droite(sous_arbre)
sinon
- si droite(parent) == sous_arbre
+ si droite(parent) == sous_arbreou est_
droite(parent) = gauche(sous_arbre)
sinon
gauche(parent) = gauche(sous_arbre)
@@ -983,7 +1090,7 @@ graph TD;
* Échanger la racine, `7` (`max` de l'arbre) avec `2`.
* Traiter la racine.
-```{.mermaid format=pdf width=400 loc=figs/}
+```{.mermaid format=pdf width=150 loc=figs/}
graph TD;
id0((2))-->id1((6));
id0-->id2((5));
@@ -1000,7 +1107,7 @@ graph TD;
* `2 <=> max(2, 6, 5)`.
* `2 <=> max(2, 1, 4)`.
-```{.mermaid format=pdf width=400 loc=figs/}
+```{.mermaid format=pdf width=150 loc=figs/}
graph TD;
id0((6))-->id1((4));
id0-->id2((5));
@@ -1031,7 +1138,7 @@ graph TD;
* Échanger la racine, `6` (`max` de l'arbre) avec `2`.
* Traiter la racine.
-```{.mermaid format=pdf width=400 loc=figs/}
+```{.mermaid format=pdf width=150 loc=figs/}
graph TD;
id0((2))-->id1((4));
id0-->id2((5));
diff --git a/slides/figs/heap_tree.svg b/slides/figs/heap_tree.svg
new file mode 100644
index 0000000..c2686ff
--- /dev/null
+++ b/slides/figs/heap_tree.svg
@@ -0,0 +1,498 @@
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GitLab