How do I implement an AVL tree in Python?
To implement an AVL tree in Python, you need to create a class for the tree and define methods for insertion, deletion, and balancing.
What are the key properties of an AVL tree?
An AVL tree is a self-balancing binary search tree where the difference in heights between left and right subtrees is at most one.
Can you show me a sample code for inserting a node?
Sure! Here's a simple example:
class Node:
def __init__(self, key):
self.key = key
self.left = None
self.right = None
self.height = 1
class AVLTree:
def insert(self, root, key):
# Normal BST insert
if not root:
return Node(key)
elif key < root.key:
root.left = self.insert(root.left, key)
else:
root.right = self.insert(root.right, key)
# Update height and balance the tree
return self.balance(root)
How do I balance the tree after insertion?
You can balance the tree by checking the balance factor of each node and performing rotations (left or right) as needed.
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