add: graphs et rushs

1 files changed, 95 insertions, 0 deletions

diff --git a/graphs/piscine/binary_tree_dynamic/binary_tree.c b/graphs/piscine/binary_tree_dynamic/binary_tree.c
new file mode 100644
index 0000000..6d99e99
--- /dev/null
+++ b/graphs/piscine/binary_tree_dynamic/binary_tree.c
@@ -0,0 +1,95 @@
+#include "binary_tree.h"
+
+#include <stddef.h>
+#include <stdio.h>
+
+int size(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+        return 0;
+
+    return 1 + size(tree->left) + size(tree->right);
+}
+
+static int max(int a, int b)
+{
+    if (a > b)
+        return a;
+    return b;
+}
+
+int height(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+    {
+        return -1;
+    }
+
+    return 1 + max(height(tree->left), height(tree->right));
+}
+
+int is_perfect(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+        return 1;
+    return height(tree->left) == height(tree->right) && is_perfect(tree->right)
+        && is_perfect(tree->right);
+}
+
+int is_complete(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+    {
+        return 1;
+    }
+
+    int hg = height(tree->left);
+    int hd = height(tree->right);
+
+    if (hg - hd != 0 && hg - hd != 1)
+    {
+        return 0;
+    }
+
+    return is_complete(tree->left) && is_complete(tree->right);
+}
+
+int is_degenerate(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+    {
+        return 1;
+    }
+
+    if (tree->left && tree->right)
+    {
+        return 0;
+    }
+    return is_degenerate(tree->left) && is_degenerate(tree->right);
+}
+
+int is_full(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+        return 1;
+    if ((tree->left && !tree->right) || (!tree->left && tree->right))
+        return 0;
+    return is_full(tree->right) && is_full(tree->left);
+}
+
+static int is_bzt(const struct binary_tree *tree, int min, int max)
+{
+    if (tree == NULL)
+        return 1;
+    if (tree->data > max || tree->data <= min)
+        return 0;
+    return is_bzt(tree->left, min, tree->data)
+        && is_bzt(tree->right, tree->data, max);
+}
+
+int is_bst(const struct binary_tree *tree)
+{
+    if (tree == NULL)
+        return 1;
+    return is_bzt(tree, -2147483647, 2147483647);
+}