• Binary tree (note the first line: Not to be confused with B-tree.)
• Data Structure and Algorithms - Tree
• Tree Traversal
• Binary Search Tree
• Data structures: Binary Tree

At the end of this project, you are expected to be able to explain to anyone, without the help of Google:

• What is a binary tree
• What is the difference between a binary tree and a Binary Search Tree
• What is the possible gain in terms of time complexity compared to linked lists
• What are the depth, the height, the size of a binary tree
• What are the different traversal methods to go through a binary tree
• What is a complete, a full, a perfect, a balanced binary tree

• Allowed editors: vi, vim, emacs
• All your files will be compiled on Ubuntu 20.04 LTS using gcc, using the options -Wall -Werror -Wextra -pedantic -std=gnu89
• All your files should end with a new line
• A README.md file, at the root of the folder of the project, is mandatory
• Your code should use the Betty style. It will be checked using betty-style.pl and betty-doc.pl
• You are not allowed to use global variables
• No more than 5 functions per file
• You are allowed to use the standard library
• The prototypes of all your functions should be included in your header file called binary_trees.h
• Don’t forget to push your header file
• All your header files should be include guarded

• There should be one project repository per group. If you clone/fork/whatever a project repository with the same name before the second deadline, you risk a 0% score.

Please use the following data structures and types for binary trees. Don’t forget to include them in your header file.

/**
 * 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;

Binary Search Tree
typedef struct binary_tree_s bst_t;

AVL Tree
typedef struct binary_tree_s avl_t;

Max Binary Heap
typedef struct binary_tree_s heap_t;

Note: For tasks 0 to 23 (included), you have to deal with simple binary trees. They are not BSTs, thus they don’t follow any kind of rule.

Print Function
A print function is provided for visualization purposes only. It’s not required to push it to your repo, and it may not be used during the correction.