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@@ -195,14 +195,14 @@ G. M. Adelson-Velsky 和 E. M. Landis 在其 1962 年发表的论文 "An algorit
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```python title="avl_tree.py"
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def height(self, node: TreeNode | None) -> int:
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""" 获取节点高度 """
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"""获取节点高度"""
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# 空节点高度为 -1 ,叶节点高度为 0
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if node is not None:
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return node.height
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return -1
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def __update_height(self, node: TreeNode | None):
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""" 更新节点高度 """
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"""更新节点高度"""
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# 节点高度等于最高子树高度 + 1
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node.height = max([self.height(node.left), self.height(node.right)]) + 1
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```
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@@ -355,7 +355,7 @@ G. M. Adelson-Velsky 和 E. M. Landis 在其 1962 年发表的论文 "An algorit
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```python title="avl_tree.py"
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def balance_factor(self, node: TreeNode | None) -> int:
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""" 获取平衡因子 """
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"""获取平衡因子"""
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# 空节点平衡因子为 0
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if node is None:
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return 0
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@@ -518,7 +518,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作,其可 **在不影
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```python title="avl_tree.py"
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def __right_rotate(self, node: TreeNode | None) -> TreeNode | None:
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""" 右旋操作 """
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"""右旋操作"""
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child = node.left
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grand_child = child.right
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# 以 child 为原点,将 node 向右旋转
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@@ -702,7 +702,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作,其可 **在不影
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```python title="avl_tree.py"
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def __left_rotate(self, node: TreeNode | None) -> TreeNode | None:
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""" 左旋操作 """
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"""左旋操作"""
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child = node.right
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grand_child = child.left
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# 以 child 为原点,将 node 向左旋转
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@@ -941,7 +941,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作,其可 **在不影
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```python title="avl_tree.py"
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def __rotate(self, node: TreeNode | None) -> TreeNode | None:
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""" 执行旋转操作,使该子树重新恢复平衡 """
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"""执行旋转操作,使该子树重新恢复平衡"""
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# 获取节点 node 的平衡因子
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balance_factor = self.balance_factor(node)
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# 左偏树
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@@ -1251,12 +1251,12 @@ AVL 树的独特之处在于「旋转 Rotation」的操作,其可 **在不影
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```python title="avl_tree.py"
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def insert(self, val) -> TreeNode:
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""" 插入节点 """
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"""插入节点"""
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self.__root = self.__insert_helper(self.__root, val)
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return self.__root
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def __insert_helper(self, node: TreeNode | None, val: int) -> TreeNode:
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""" 递归插入节点(辅助方法)"""
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"""递归插入节点(辅助方法)"""
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if node is None:
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return TreeNode(val)
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# 1. 查找插入位置,并插入节点
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@@ -1576,12 +1576,12 @@ AVL 树的独特之处在于「旋转 Rotation」的操作,其可 **在不影
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```python title="avl_tree.py"
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def remove(self, val: int) -> TreeNode | None:
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""" 删除节点 """
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"""删除节点"""
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self.__root = self.__remove_helper(self.__root, val)
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return self.__root
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return self.__root
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def __remove_helper(self, node: TreeNode | None, val: int) -> TreeNode | None:
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""" 递归删除节点(辅助方法) """
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"""递归删除节点(辅助方法)"""
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if node is None:
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return None
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# 1. 查找节点,并删除之
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@@ -1608,7 +1608,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作,其可 **在不影
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return self.__rotate(node)
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def __get_inorder_next(self, node: TreeNode | None) -> TreeNode | None:
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""" 获取中序遍历中的下一个节点(仅适用于 root 有左子节点的情况) """
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"""获取中序遍历中的下一个节点(仅适用于 root 有左子节点的情况)"""
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if node is None:
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return None
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# 循环访问左子节点,直到叶节点时为最小节点,跳出
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@@ -81,7 +81,7 @@ comments: true
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```python title="binary_search_tree.py"
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def search(self, num: int) -> TreeNode | None:
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""" 查找节点 """
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"""查找节点"""
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cur: TreeNode | None = self.__root
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# 循环查找,越过叶节点后跳出
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while cur is not None:
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@@ -309,11 +309,11 @@ comments: true
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```python title="binary_search_tree.py"
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def insert(self, num: int) -> TreeNode | None:
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""" 插入节点 """
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"""插入节点"""
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# 若树为空,直接提前返回
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if self.__root is None:
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return None
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# 循环查找,越过叶节点后跳出
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cur, pre = self.__root, None
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while cur is not None:
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@@ -692,7 +692,7 @@ comments: true
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```python title="binary_search_tree.py"
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def remove(self, num: int) -> TreeNode | None:
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""" 删除节点 """
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"""删除节点"""
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# 若树为空,直接提前返回
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if self.__root is None:
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return None
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@@ -733,7 +733,7 @@ comments: true
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return cur
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def get_inorder_next(self, root: TreeNode | None) -> TreeNode | None:
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""" 获取中序遍历中的下一个节点(仅适用于 root 有左子节点的情况) """
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"""获取中序遍历中的下一个节点(仅适用于 root 有左子节点的情况)"""
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if root is None:
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return root
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# 循环访问左子节点,直到叶节点时为最小节点,跳出
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@@ -70,19 +70,19 @@ comments: true
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```python title="binary_tree_bfs.py"
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def level_order(root: TreeNode | None) -> list[int]:
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""" 层序遍历 """
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"""层序遍历"""
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# 初始化队列,加入根节点
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queue: deque[TreeNode] = deque()
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queue.append(root)
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# 初始化一个列表,用于保存遍历序列
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res: list[int] = []
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while queue:
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node: TreeNode = queue.popleft() # 队列出队
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res.append(node.val) # 保存节点值
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node: TreeNode = queue.popleft() # 队列出队
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res.append(node.val) # 保存节点值
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if node.left is not None:
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queue.append(node.left) # 左子节点入队
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queue.append(node.left) # 左子节点入队
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if node.right is not None:
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queue.append(node.right) # 右子节点入队
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queue.append(node.right) # 右子节点入队
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return res
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```
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@@ -338,7 +338,7 @@ comments: true
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```python title="binary_tree_dfs.py"
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def pre_order(root: TreeNode | None) -> None:
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""" 前序遍历 """
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"""前序遍历"""
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if root is None:
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return
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# 访问优先级:根节点 -> 左子树 -> 右子树
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@@ -347,7 +347,7 @@ comments: true
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pre_order(root=root.right)
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def in_order(root: TreeNode | None) -> None:
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""" 中序遍历 """
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"""中序遍历"""
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if root is None:
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return
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# 访问优先级:左子树 -> 根节点 -> 右子树
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@@ -356,7 +356,7 @@ comments: true
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in_order(root=root.right)
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def post_order(root: TreeNode | None) -> None:
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""" 后序遍历 """
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"""后序遍历"""
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if root is None:
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return
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# 访问优先级:左子树 -> 右子树 -> 根节点
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