# 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 Python.

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:

1. difference between the left and the right subtree for any node is not more than one
2. the left subtree is balanced
3. the right subtree is balanced

## Python Examples

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

``````/* Checking if a binary tree is CalculateHeight balanced in Python */

/* CreateNode creation */
class CreateNode:

def __init__(self, item):
self.item = item
self.left = self.right = None

/* Calculate height */
class CalculateHeight:
def __init__(self):
self.CalculateHeight = 0

/* Check height balance */
def is_height_balanced(root, CalculateHeight):

left_height = CalculateHeight()
right_height = CalculateHeight()

if root is None:
return True

l = is_height_balanced(root.left, left_height)
r = is_height_balanced(root.right, right_height)

CalculateHeight.CalculateHeight = max(
left_height.CalculateHeight, right_height.CalculateHeight) + 1

if abs(left_height.CalculateHeight - right_height.CalculateHeight) <= 1:
return l and r

return False

CalculateHeight = CalculateHeight()

root = CreateNode(1)
root.left = CreateNode(2)
root.right = CreateNode(3)
root.left.left = CreateNode(4)
root.left.right = CreateNode(5)

if is_height_balanced(root, CalculateHeight):
print('The tree is balanced')
else:
print('The tree is not balanced')
``````

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