Python TreeNode如何实现树的平衡

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作者
筋斗云
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在Python中实现树的平衡可以通过实现平衡二叉树(AVL树)来实现。AVL树是一种自平衡二叉搜索树,即树的每个节点的左子树和右子树的高度差不超过1。

下面是一个简单的Python实现:

class TreeNode:     def __init__(self, key):         self.key = key         self.left = None         self.right = None         self.height = 1  class AVLTree:     def getHeight(self, node):         if not node:             return 0         return node.height      def getBalance(self, node):         if not node:             return 0         return self.getHeight(node.left) - self.getHeight(node.right)      def rotateRight(self, y):         x = y.left         T = x.right          x.right = y         y.left = T          y.height = 1 + max(self.getHeight(y.left), self.getHeight(y.right))         x.height = 1 + max(self.getHeight(x.left), self.getHeight(x.right))          return x      def rotateLeft(self, x):         y = x.right         T = y.left          y.left = x         x.right = T          x.height = 1 + max(self.getHeight(x.left), self.getHeight(x.right))         y.height = 1 + max(self.getHeight(y.left), self.getHeight(y.right))          return y      def insert(self, root, key):         if not root:             return TreeNode(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.getHeight(root.left), self.getHeight(root.right))          balance = self.getBalance(root)          if balance > 1 and key < root.left.key:             return self.rotateRight(root)                  if balance < -1 and key > root.right.key:             return self.rotateLeft(root)                  if balance > 1 and key > root.left.key:             root.left = self.rotateLeft(root.left)             return self.rotateRight(root)                  if balance < -1 and key < root.right.key:             root.right = self.rotateRight(root.right)             return self.rotateLeft(root)          return root 

使用上述代码可以创建一个AVL树,然后通过调用insert方法向树中插入新节点,保持树的平衡。

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