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krahets
2023-03-23 18:56:56 +08:00
parent 2715ce703a
commit 0dfdcf0bab
25 changed files with 118 additions and 115 deletions
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chapter_tree/avl_tree.md
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@@ -194,14 +194,14 @@ G. M. Adelson-Velsky 和 E. M. Landis 在其 1962 年发表的论文 "An algorit
=== "Python"
```python title="avl_tree.py"
def height(self, node: Optional[TreeNode]) -> int:
def height(self, node: TreeNode | None) -> int:
""" 获取结点高度 """
# 空结点高度为 -1 ，叶结点高度为 0
if node is not None:
return node.height
return -1
def __update_height(self, node: Optional[TreeNode]):
def __update_height(self, node: TreeNode | None):
""" 更新结点高度 """
# 结点高度等于最高子树高度 + 1
node.height = max([self.height(node.left), self.height(node.right)]) + 1
@@ -354,7 +354,7 @@ G. M. Adelson-Velsky 和 E. M. Landis 在其 1962 年发表的论文 "An algorit
=== "Python"
```python title="avl_tree.py"
def balance_factor(self, node: Optional[TreeNode]) -> int:
def balance_factor(self, node: TreeNode | None) -> int:
""" 获取平衡因子 """
# 空结点平衡因子为 0
if node is None:
@@ -517,7 +517,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
=== "Python"
```python title="avl_tree.py"
def __right_rotate(self, node: Optional[TreeNode]) -> Optional[TreeNode]:
def __right_rotate(self, node: TreeNode | None) -> TreeNode | None:
""" 右旋操作 """
child = node.left
grand_child = child.right
@@ -701,7 +701,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
=== "Python"
```python title="avl_tree.py"
def __left_rotate(self, node: Optional[TreeNode]) -> Optional[TreeNode]:
def __left_rotate(self, node: TreeNode | None) -> TreeNode | None:
""" 左旋操作 """
child = node.right
grand_child = child.left
@@ -940,7 +940,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
=== "Python"
```python title="avl_tree.py"
def __rotate(self, node: Optional[TreeNode]) -> Optional[TreeNode]:
def __rotate(self, node: TreeNode | None) -> TreeNode | None:
""" 执行旋转操作，使该子树重新恢复平衡 """
# 获取结点 node 的平衡因子
balance_factor = self.balance_factor(node)
@@ -1255,7 +1255,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
self.__root = self.__insert_helper(self.__root, val)
return self.__root
def __insert_helper(self, node: Optional[TreeNode], val: int) -> TreeNode:
def __insert_helper(self, node: TreeNode | None, val: int) -> TreeNode:
""" 递归插入结点（辅助方法）"""
if node is None:
return TreeNode(val)
@@ -1575,12 +1575,12 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
=== "Python"
```python title="avl_tree.py"
def remove(self, val: int) -> Optional[TreeNode]:
def remove(self, val: int) -> TreeNode | None:
""" 删除结点 """
self.__root = self.__remove_helper(self.__root, val)
return self.__root
def __remove_helper(self, node: Optional[TreeNode], val: int) -> Optional[TreeNode]:
def __remove_helper(self, node: TreeNode | None, val: int) -> TreeNode | None:
""" 递归删除结点（辅助方法） """
if node is None:
return None
@@ -1607,7 +1607,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
# 2. 执行旋转操作，使该子树重新恢复平衡
return self.__rotate(node)
def __get_inorder_next(self, node: Optional[TreeNode]) -> Optional[TreeNode]:
def __get_inorder_next(self, node: TreeNode | None) -> TreeNode | None:
""" 获取中序遍历中的下一个结点（仅适用于 root 有左子结点的情况） """
if node is None:
return None