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:
- 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
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
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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