Python TreeNode如何实现树的AVL树

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猴君
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在Python中实现AVL树,需要定义一个TreeNode类来表示树的节点,然后定义一个AVLTree类来实现AVL树的操作。

class TreeNode:     def __init__(self, key):         self.key = key         self.left = None         self.right = None         self.height = 1  class AVLTree:     def __init__(self):         self.root = None      def insert(self, key):         self.root = self._insert(self.root, key)      def _insert(self, node, key):         if not node:             return TreeNode(key)                  if key < node.key:             node.left = self._insert(node.left, key)         else:             node.right = self._insert(node.right, key)          node.height = 1 + max(self._get_height(node.left), self._get_height(node.right))                  balance = self._get_balance(node)          # 左旋         if balance > 1 and key < node.left.key:             return self._rotate_right(node)         # 右旋         if balance < -1 and key > node.right.key:             return self._rotate_left(node)         # 左右旋         if balance > 1 and key > node.left.key:             node.left = self._rotate_left(node.left)             return self._rotate_right(node)         # 右左旋         if balance < -1 and key < node.right.key:             node.right = self._rotate_right(node.right)             return self._rotate_left(node)          return node      def _get_height(self, node):         if not node:             return 0         return node.height      def _get_balance(self, node):         if not node:             return 0         return self._get_height(node.left) - self._get_height(node.right)      def _rotate_left(self, z):         y = z.right         T2 = y.left          y.left = z         z.right = T2          z.height = 1 + max(self._get_height(z.left), self._get_height(z.right))         y.height = 1 + max(self._get_height(y.left), self._get_height(y.right))          return y      def _rotate_right(self, z):         y = z.left         T3 = y.right          y.right = z         z.left = T3          z.height = 1 + max(self._get_height(z.left), self._get_height(z.right))         y.height = 1 + max(self._get_height(y.left), self._get_height(y.right))          return y 

以上是AVL树的Python实现代码,包括了插入节点和旋转操作。可以根据需要进一步实现删除节点、查找节点等操作。

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