AVL树的伪代码python

AVL树是一种自平衡二叉搜索树，它的平衡是通过旋转操作来实现的。下面是AVL树的伪代码Python实现：

# AVL树节点定义
class AVLNode:
    def __init__(self, key):
        self.key = key
        self.left = None
        self.right = None
        self.height = 1

# AVL树定义
class AVLTree:
    def __init__(self):
        self.root = None

    # 获取节点高度
    def get_height(self, node):
        if not node:
            return 0
        return node.height

    # 获取节点平衡因子
    def get_balance(self, node):
        if not node:
            return 0
        return self.get_height(node.left) - self.get_height(node.right)

    # 右旋操作
    def right_rotate(self, y):
        x = y.left
        t2 = x.right

        x.right = y
        y.left = t2

        y.height = 1 + max(self.get_height(y.left), self.get_height(y.right))
        x.height = 1 + max(self.get_height(x.left), self.get_height(x.right))

        return x

    # 左旋操作
    def left_rotate(self, x):
        y = x.right
        t2 = y.left

        y.left = x
        x.right = t2

        x.height = 1 + max(self.get_height(x.left), self.get_height(x.right))
        y.height = 1 + max(self.get_height(y.left), self.get_height(y.right))

        return y

    # 插入操作
    def insert(self, root, key):
        if not root:
            return AVLNode(key)
        elif key < root.key:
            root.left = self.insert(root.left, key)
        else:
            root.right = self.insert(root.right, key)

        root.height = 1 + max(self.get_height(root.left), self.get_height(root.right))

        balance = self.get_balance(root)

        # 左旋操作
        if balance > 1 and key < root.left.key:
            return self.right_rotate(root)

        # 右旋操作
        if balance < -1 and key > root.right.key:
            return self.left_rotate(root)

        # 左右旋操作
        if balance > 1 and key > root.left.key:
            root.left = self.left_rotate(root.left)
            return self.right_rotate(root)

        # 右左旋操作
        if balance < -1 and key < root.right.key:
            root.right = self.right_rotate(root.right)
            return self.left_rotate(root)

        return root