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0x1D. C - Binary trees

Estructuras de datos

Utilice las siguientes estructuras y tipos de datos para árboles binarios. No olvide incluirlos en su archivo de encabezado.

Árbol binario básico

/**
* struct binary_tree_s - Binary tree node
*
* @n: Integer stored in the node
* @parent: Pointer to the parent node
* @left: Pointer to the left child node
* @right: Pointer to the right child node
*/
struct binary_tree_s
{
  int n;
  struct binary_tree_s *parent;
  struct binary_tree_s *left;
  struct binary_tree_s *right;
};

typedef struct binary_tree_s binary_tree_t;

Árbol de búsqueda binaria

typedef struct binary_tree_s bst_t;

Árbol AVL

typedef struct binary_tree_s avl_t;

Montón binario máximo

typedef struct binary_tree_s heap_t;

Tasks

0. New node

Write a function that creates a binary tree node

1. Insert left

Write a function that inserts a node as the left-child of another node

2. Insert right

Write a function that inserts a node as the right-child of another node

3. Delete

Write a function that deletes an entire binary tree

4. Is leaf

Write a function that checks if a node is a leaf

5. Is root

Write a function that checks if a given node is a root

6. Pre-order traversal

Write a function that goes through a binary tree using pre-order traversal

7. In-order traversal

Write a function that goes through a binary tree using in-order traversal

8. Post-order traversal

Write a function that goes through a binary tree using post-order traversal

9. Height

Write a function that measures the height of a binary tree

10. Depth

Write a function that measures the depth of a node in a binary tree

11. Size

Write a function that measures the size of a binary tree

12. Leaves

Write a function that counts the leaves in a binary tree

13. Nodes

Write a function that counts the nodes with at least 1 child in a binary tree

14. Balance factor

Write a function that measures the balance factor of a binary tree

15. Is full

Write a function that checks if a binary tree is full

16. Is perfect

Write a function that checks if a binary tree is perfect

17. Sibling

Write a function that finds the sibling of a node

18. Uncle

Write a function that finds the uncle of a node

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