美国云服务器在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。