# Balanced Binary Tree

#### In this tutorial, you will learn about a balanced binary tree and its different types. Also, you will find working examples of a balanced binary tree in C.

A balanced binary tree, also referred to as a height-balanced binary tree, is defined as a binary tree in which the height of the left and right subtree of any node differ by not more than 1.

To learn more about the height of a tree/node, visit Tree Data Structure.Following are the conditions for a height-balanced binary tree:

- difference between the left and the right subtree for any node is not more than one
- the left subtree is balanced
- the right subtree is balanced

## C Examples

The following code is for checking whether a tree is height-balanced.

```
// Checking if a binary tree is height balanced in C
#include <stdio.h>
#include <stdlib.h>
#define bool int
// Node creation
struct node {
int item;
struct node *left;
struct node *right;
};
// Create a new node
struct node *newNode(int item){
struct node *node = (struct node *)malloc(sizeof(struct node));
node->item = item;
node->left = NULL;
node->right = NULL;
return (node);
}
// Check for height balance
bool checkHeightBalance(struct node *root, int *height){
// Check for emptiness
int leftHeight = 0, rightHeight = 0;
int l = 0, r = 0;
if (root == NULL) {
*height = 0;
return 1;
}
l = checkHeightBalance(root->left, &leftHeight);
r = checkHeightBalance(root->right, &rightHeight);
*height = (leftHeight > rightHeight ? leftHeight : rightHeight) + 1;
if ((leftHeight - rightHeight >= 2) || (rightHeight - leftHeight >= 2))
return 0;
else
return l && r;
}
int main(){
int height = 0;
struct node *root = newNode(1);
root->left = newNode(2);
root->right = newNode(3);
root->left->left = newNode(4);
root->left->right = newNode(5);
if (checkHeightBalance(root, &height))
printf("The tree is balanced");
else
printf("The tree is not balanced");
}
```

## Balanced Binary Tree Applications

- AVL tree
- Balanced Binary Search Tree

# Python Example for Beginners

## Two Machine Learning Fields

There are two sides to machine learning:

**Practical Machine Learning:**This is about querying databases, cleaning data, writing scripts to transform data and gluing algorithm and libraries together and writing custom code to squeeze reliable answers from data to satisfy difficult and ill defined questions. It’s the mess of reality.**Theoretical Machine Learning**: This is about math and abstraction and idealized scenarios and limits and beauty and informing what is possible. It is a whole lot neater and cleaner and removed from the mess of reality.

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