How can I implement balanced trees in Python?
You can implement balanced trees like AVL trees or Red-Black trees. Which one are you interested in?
I want to start with AVL trees. What are the basic operations I need to implement?
For AVL trees, you'll need to implement insertion, deletion, and rotation operations to maintain balance.
Can you provide a sample code for inserting a node in an AVL tree?
Sure! Here's a basic implementation of the insert operation in an AVL tree:
class Node:
def __init__(self, key):
self.left = None
self.right = None
self.val = key
self.height = 1
class AVLTree:
def insert(self, root, key):
# Normal BST insert
if not root:
return Node(key)
elif key < root.val:
root.left = self.insert(root.left, key)
else:
root.right = self.insert(root.right, key)
# Update height and balance the tree
root.height = 1 + max(self.getHeight(root.left), self.getHeight(root.right))
balance = self.getBalance(root)
# Perform rotations if unbalanced
if balance > 1 and key < root.left.val:
return self.rightRotate(root)
if balance < -1 and key > root.right.val:
return self.leftRotate(root)
if balance > 1 and key > root.left.val:
root.left = self.leftRotate(root.left)
return self.rightRotate(root)
if balance < -1 and key < root.right.val:
root.right = self.rightRotate(root.right)
return self.leftRotate(root)
return root
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