Python Data Structure and Algorithm Tutorial – Balanced Binary Tree

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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

 

Balanced Binary Tree Example
Balanced Binary Tree with depth at each level
Unbalanced Binary Tree Example
Unbalanced Binary Tree with depth at each level

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')

 

 

Python Example for Beginners

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