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class TreeNode: def __init__(self, data): self.data = data self.left = None self.right = None self.height = 1 def getHeight(node): if not node: return 0 return node.height def getBalance(node): if not node: return 0 return getHeight(node.left) - getHeight(node.right) def rightRotate(y): x = y.left T2 = x.right x.right = y y.left = T2 y.height = 1 + max(getHeight(y.left), getHeight(y.right)) x.height = 1 + max(getHeight(x.left), getHeight(x.right)) return x def leftRotate(x): y = x.right T2 = y.left y.left = x x.right = T2 x.height = 1 + max(getHeight(x.left), getHeight(x.right)) y.height = 1 + max(getHeight(y.left), getHeight(y.right)) return y def insert(node, data): if not node: return TreeNode(data) if data < node.data: node.left = insert(node.left, data) elif data > node.data: node.right = insert(node.right, data) # Update the balance factor and balance the tree node.height = 1 + max(getHeight(node.left), getHeight(node.right)) balance = getBalance(node) # Balancing the tree # Left Left if balance > 1 and getBalance(node.left) >= 0: return rightRotate(node) # Left Right if balance > 1 and getBalance(node.left) < 0: node.left = leftRotate(node.left) return rightRotate(node) # Right Right if balance < -1 and getBalance(node.right) <= 0: return leftRotate(node) # Right Left if balance < -1 and getBalance(node.right) > 0: node.right = rightRotate(node.right) return leftRotate(node) return node def inOrderTraversal(node): if node is None: return inOrderTraversal(node.left) print(node.data, end=", ") inOrderTraversal(node.right) def minValueNode(node): current = node while current.left is not None: current = current.left return current def minValueNode(node): current = node while current.left is not None: current = current.left return current def delete(node, data): if not node: return node if data < node.data: node.left = delete(node.left, data) elif data > node.data: node.right = delete(node.right, data) else: if node.left is None: temp = node.right node = None return temp elif node.right is None: temp = node.left node = None return temp temp = minValueNode(node.right) node.data = temp.data node.right = delete(node.right, temp.data) if node is None: return node # Update the balance factor and balance the tree node.height = 1 + max(getHeight(node.left), getHeight(node.right)) balance = getBalance(node) # Balancing the tree # Left Left if balance > 1 and getBalance(node.left) >= 0: return rightRotate(node) # Left Right if balance > 1 and getBalance(node.left) < 0: node.left = leftRotate(node.left) return rightRotate(node) # Right Right if balance < -1 and getBalance(node.right) <= 0: return leftRotate(node) # Right Left if balance < -1 and getBalance(node.right) > 0: node.right = rightRotate(node.right) return leftRotate(node) return node # Inserting the letters root = None letters = ['C', 'B', 'E', 'A', 'D', 'H', 'G', 'F'] for letter in letters: root = insert(root, letter) inOrderTraversal(root) print('\nDeleting A') root = delete(root,'A') inOrderTraversal(root)
A, B, C, D, E, F, G, H,
Deleting A
B, C, D, E, F, G, H,