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Update the Optional alias of Python codes.

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Yudong Jin 2023-01-09 02:49:34 +08:00
parent 4d01436138
commit 97ee638d31
8 changed files with 37 additions and 45 deletions
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22
codes/python/chapter_tree/avl_tree.py
View file

@ -5,30 +5,28 @@ Author: a16su (lpluls001@gmail.com)
""" """
import sys, os.path as osp import sys, os.path as osp
import typing
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__)))) sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
from include import * from include import *
class AVLTree: class AVLTree:
def __init__(self, root: typing.Optional[TreeNode] = None): def __init__(self, root: Optional[TreeNode] = None):
self.root = root self.root = root
""" 获取结点高度 """ """ 获取结点高度 """
def height(self, node: typing.Optional[TreeNode]) -> int: def height(self, node: Optional[TreeNode]) -> int:
# 空结点高度为 -1 ，叶结点高度为 0 # 空结点高度为 -1 ，叶结点高度为 0
if node is not None: if node is not None:
return node.height return node.height
return -1 return -1
""" 更新结点高度 """ """ 更新结点高度 """
def __update_height(self, node: TreeNode): def __update_height(self, node: Optional[TreeNode]):
# 结点高度等于最高子树高度 + 1 # 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 node.height = max([self.height(node.left), self.height(node.right)]) + 1
""" 获取平衡因子 """ """ 获取平衡因子 """
def balance_factor(self, node: TreeNode) -> int: def balance_factor(self, node: Optional[TreeNode]) -> int:
# 空结点平衡因子为 0 # 空结点平衡因子为 0
if node is None: if node is None:
return 0 return 0
@ -36,7 +34,7 @@ class AVLTree:
return self.height(node.left) - self.height(node.right) return self.height(node.left) - self.height(node.right)
""" 右旋操作 """ """ 右旋操作 """
def __right_rotate(self, node: TreeNode) -> TreeNode: def __right_rotate(self, node: Optional[TreeNode]) -> TreeNode:
child = node.left child = node.left
grand_child = child.right grand_child = child.right
# 以 child 为原点，将 node 向右旋转 # 以 child 为原点，将 node 向右旋转
@ -49,7 +47,7 @@ class AVLTree:
return child return child
""" 左旋操作 """ """ 左旋操作 """
def __left_rotate(self, node: TreeNode) -> TreeNode: def __left_rotate(self, node: Optional[TreeNode]) -> TreeNode:
child = node.right child = node.right
grand_child = child.left grand_child = child.left
# 以 child 为原点，将 node 向左旋转 # 以 child 为原点，将 node 向左旋转
@ -62,7 +60,7 @@ class AVLTree:
return child return child
""" 执行旋转操作，使该子树重新恢复平衡 """ """ 执行旋转操作，使该子树重新恢复平衡 """
def __rotate(self, node: TreeNode) -> TreeNode: def __rotate(self, node: Optional[TreeNode]) -> TreeNode:
# 获取结点 node 的平衡因子 # 获取结点 node 的平衡因子
balance_factor = self.balance_factor(node) balance_factor = self.balance_factor(node)
# 左偏树 # 左偏树
@ -92,7 +90,7 @@ class AVLTree:
return self.root return self.root
""" 递归插入结点（辅助函数）""" """ 递归插入结点（辅助函数）"""
def __insert_helper(self, node: typing.Optional[TreeNode], val: int) -> TreeNode: def __insert_helper(self, node: Optional[TreeNode], val: int) -> TreeNode:
if node is None: if node is None:
return TreeNode(val) return TreeNode(val)
# 1. 查找插入位置，并插入结点 # 1. 查找插入位置，并插入结点
@ -114,7 +112,7 @@ class AVLTree:
return root return root
""" 递归删除结点（辅助函数） """ """ 递归删除结点（辅助函数） """
def __remove_helper(self, node: typing.Optional[TreeNode], val: int) -> typing.Optional[TreeNode]: def __remove_helper(self, node: Optional[TreeNode], val: int) -> Optional[TreeNode]:
if node is None: if node is None:
return None return None
# 1. 查找结点，并删除之 # 1. 查找结点，并删除之
@ -141,7 +139,7 @@ class AVLTree:
return self.__rotate(node) return self.__rotate(node)
""" 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） """ """ 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） """
def __get_inorder_next(self, node: typing.Optional[TreeNode]) -> typing.Optional[TreeNode]: def __get_inorder_next(self, node: Optional[TreeNode]) -> Optional[TreeNode]:
if node is None: if node is None:
return None return None
# 循环访问左子结点，直到叶结点时为最小结点，跳出 # 循环访问左子结点，直到叶结点时为最小结点，跳出

16
codes/python/chapter_tree/binary_search_tree.py
View file

@ -5,20 +5,18 @@ Author: a16su (lpluls001@gmail.com)
""" """
import sys, os.path as osp import sys, os.path as osp
import typing
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__)))) sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
from include import * from include import *
""" 二叉搜索树 """ """ 二叉搜索树 """
class BinarySearchTree: class BinarySearchTree:
def __init__(self, nums: typing.List[int]) -> None: def __init__(self, nums: List[int]) -> None:
nums.sort() nums.sort()
self.__root = self.build_tree(nums, 0, len(nums) - 1) self.__root = self.build_tree(nums, 0, len(nums) - 1)
""" 构建二叉搜索树 """ """ 构建二叉搜索树 """
def build_tree(self, nums: typing.List[int], start_index: int, end_index: int) -> typing.Optional[TreeNode]: def build_tree(self, nums: List[int], start_index: int, end_index: int) -> Optional[TreeNode]:
if start_index > end_index: if start_index > end_index:
return None return None
@ -31,11 +29,11 @@ class BinarySearchTree:
return root return root
@property @property
def root(self) -> typing.Optional[TreeNode]: def root(self) -> Optional[TreeNode]:
return self.__root return self.__root
""" 查找结点 """ """ 查找结点 """
def search(self, num: int) -> typing.Optional[TreeNode]: def search(self, num: int) -> Optional[TreeNode]:
cur = self.root cur = self.root
# 循环查找，越过叶结点后跳出 # 循环查找，越过叶结点后跳出
while cur is not None: while cur is not None:
@ -51,7 +49,7 @@ class BinarySearchTree:
return cur return cur
""" 插入结点 """ """ 插入结点 """
def insert(self, num: int) -> typing.Optional[TreeNode]: def insert(self, num: int) -> Optional[TreeNode]:
root = self.root root = self.root
# 若树为空，直接提前返回 # 若树为空，直接提前返回
if root is None: if root is None:
@ -81,7 +79,7 @@ class BinarySearchTree:
return node return node
""" 删除结点 """ """ 删除结点 """
def remove(self, num: int) -> typing.Optional[TreeNode]: def remove(self, num: int) -> Optional[TreeNode]:
root = self.root root = self.root
# 若树为空，直接提前返回 # 若树为空，直接提前返回
if root is None: if root is None:
@ -126,7 +124,7 @@ class BinarySearchTree:
return cur return cur
""" 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） """ """ 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） """
def get_inorder_next(self, root: typing.Optional[TreeNode]) -> typing.Optional[TreeNode]: def get_inorder_next(self, root: Optional[TreeNode]) -> Optional[TreeNode]:
if root is None: if root is None:
return root return root
# 循环访问左子结点，直到叶结点时为最小结点，跳出 # 循环访问左子结点，直到叶结点时为最小结点，跳出

4
codes/python/chapter_tree/binary_tree_bfs.py
View file

@ -5,14 +5,12 @@ Author: a16su (lpluls001@gmail.com)
""" """
import sys, os.path as osp import sys, os.path as osp
import typing
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__)))) sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
from include import * from include import *
""" 层序遍历 """ """ 层序遍历 """
def hier_order(root: TreeNode): def hier_order(root: Optional[TreeNode]):
# 初始化队列，加入根结点 # 初始化队列，加入根结点
queue = collections.deque() queue = collections.deque()
queue.append(root) queue.append(root)

8
codes/python/chapter_tree/binary_tree_dfs.py
View file

@ -5,8 +5,6 @@ Author: a16su (lpluls001@gmail.com)
""" """
import sys, os.path as osp import sys, os.path as osp
import typing
sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__)))) sys.path.append(osp.dirname(osp.dirname(osp.abspath(__file__))))
from include import * from include import *
@ -14,7 +12,7 @@ from include import *
res = [] res = []
""" 前序遍历 """ """ 前序遍历 """
def pre_order(root: typing.Optional[TreeNode]): def pre_order(root: Optional[TreeNode]):
if root is None: if root is None:
return return
# 访问优先级：根结点 -> 左子树 -> 右子树 # 访问优先级：根结点 -> 左子树 -> 右子树
@ -23,7 +21,7 @@ def pre_order(root: typing.Optional[TreeNode]):
pre_order(root=root.right) pre_order(root=root.right)
""" 中序遍历 """ """ 中序遍历 """
def in_order(root: typing.Optional[TreeNode]): def in_order(root: Optional[TreeNode]):
if root is None: if root is None:
return return
# 访问优先级：左子树 -> 根结点 -> 右子树 # 访问优先级：左子树 -> 根结点 -> 右子树
@ -32,7 +30,7 @@ def in_order(root: typing.Optional[TreeNode]):
in_order(root=root.right) in_order(root=root.right)
""" 后序遍历 """ """ 后序遍历 """
def post_order(root: typing.Optional[TreeNode]): def post_order(root: Optional[TreeNode]):
if root is None: if root is None:
return return
# 访问优先级：左子树 -> 右子树 -> 根结点 # 访问优先级：左子树 -> 右子树 -> 根结点

2
codes/python/include/__init__.py
View file

@ -4,7 +4,7 @@ import queue
import random import random
import functools import functools
import collections import collections
from typing import List from typing import Optional, List, Dict, DefaultDict, OrderedDict, Set, Deque
from .linked_list import ListNode, list_to_linked_list, linked_list_to_list, get_list_node from .linked_list import ListNode, list_to_linked_list, linked_list_to_list, get_list_node
from .binary_tree import TreeNode, list_to_tree, tree_to_list, get_tree_node from .binary_tree import TreeNode, list_to_tree, tree_to_list, get_tree_node
from .print_util import print_matrix, print_linked_list, print_tree, print_dict from .print_util import print_matrix, print_linked_list, print_tree, print_dict

16
docs/chapter_tree/avl_tree.md
View file

@ -134,14 +134,14 @@ G. M. Adelson-Velsky 和 E. M. Landis 在其 1962 年发表的论文 "An algorit
```python title="avl_tree.py" ```python title="avl_tree.py"
""" 获取结点高度 """ """ 获取结点高度 """
def height(self, node: typing.Optional[TreeNode]) -> int: def height(self, node: Optional[TreeNode]) -> int:
# 空结点高度为 -1 ，叶结点高度为 0 # 空结点高度为 -1 ，叶结点高度为 0
if node is not None: if node is not None:
return node.height return node.height
return -1 return -1
""" 更新结点高度 """ """ 更新结点高度 """
def __update_height(self, node: TreeNode): def __update_height(self, node: Optional[TreeNode]):
# 结点高度等于最高子树高度 + 1 # 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 node.height = max([self.height(node.left), self.height(node.right)]) + 1
``` ```
@ -239,7 +239,7 @@ G. M. Adelson-Velsky 和 E. M. Landis 在其 1962 年发表的论文 "An algorit
```python title="avl_tree.py" ```python title="avl_tree.py"
""" 获取平衡因子 """ """ 获取平衡因子 """
def balance_factor(self, node: TreeNode) -> int: def balance_factor(self, node: Optional[TreeNode]) -> int:
# 空结点平衡因子为 0 # 空结点平衡因子为 0
if node is None: if node is None:
return 0 return 0
@ -355,7 +355,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
```python title="avl_tree.py" ```python title="avl_tree.py"
""" 右旋操作 """ """ 右旋操作 """
def __right_rotate(self, node: TreeNode) -> TreeNode: def __right_rotate(self, node: Optional[TreeNode]) -> TreeNode:
child = node.left child = node.left
grand_child = child.right grand_child = child.right
# 以 child 为原点，将 node 向右旋转 # 以 child 为原点，将 node 向右旋转
@ -470,7 +470,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
```python title="avl_tree.py" ```python title="avl_tree.py"
""" 左旋操作 """ """ 左旋操作 """
def __left_rotate(self, node: TreeNode) -> TreeNode: def __left_rotate(self, node: Optional[TreeNode]) -> TreeNode:
child = node.right child = node.right
grand_child = child.left grand_child = child.left
# 以 child 为原点，将 node 向左旋转 # 以 child 为原点，将 node 向左旋转
@ -621,7 +621,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
```python title="avl_tree.py" ```python title="avl_tree.py"
""" 执行旋转操作，使该子树重新恢复平衡 """ """ 执行旋转操作，使该子树重新恢复平衡 """
def __rotate(self, node: TreeNode) -> TreeNode: def __rotate(self, node: Optional[TreeNode]) -> TreeNode:
# 获取结点 node 的平衡因子 # 获取结点 node 的平衡因子
balance_factor = self.balance_factor(node) balance_factor = self.balance_factor(node)
# 左偏树 # 左偏树
@ -796,7 +796,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
return self.root return self.root
""" 递归插入结点（辅助函数）""" """ 递归插入结点（辅助函数）"""
def __insert_helper(self, node: typing.Optional[TreeNode], val: int) -> TreeNode: def __insert_helper(self, node: Optional[TreeNode], val: int) -> TreeNode:
if node is None: if node is None:
return TreeNode(val) return TreeNode(val)
# 1. 查找插入位置，并插入结点 # 1. 查找插入位置，并插入结点
@ -957,7 +957,7 @@ AVL 树的独特之处在于「旋转 Rotation」的操作，其可 **在不影
return root return root
""" 递归删除结点（辅助函数） """ """ 递归删除结点（辅助函数） """
def __remove_helper(self, node: typing.Optional[TreeNode], val: int) -> typing.Optional[TreeNode]: def __remove_helper(self, node: Optional[TreeNode], val: int) -> Optional[TreeNode]:
if node is None: if node is None:
return None return None
# 1. 查找结点，并删除之 # 1. 查找结点，并删除之

6
docs/chapter_tree/binary_search_tree.md
View file

@ -83,7 +83,7 @@ comments: true
```python title="binary_search_tree.py" ```python title="binary_search_tree.py"
""" 查找结点 """ """ 查找结点 """
def search(self, num: int) -> typing.Optional[TreeNode]: def search(self, num: int) -> Optional[TreeNode]:
cur = self.root cur = self.root
# 循环查找，越过叶结点后跳出 # 循环查找，越过叶结点后跳出
while cur is not None: while cur is not None:
@ -265,7 +265,7 @@ comments: true
```python title="binary_search_tree.py" ```python title="binary_search_tree.py"
""" 插入结点 """ """ 插入结点 """
def insert(self, num: int) -> typing.Optional[TreeNode]: def insert(self, num: int) -> Optional[TreeNode]:
root = self.root root = self.root
# 若树为空，直接提前返回 # 若树为空，直接提前返回
if root is None: if root is None:
@ -560,7 +560,7 @@ comments: true
```python title="binary_search_tree.py" ```python title="binary_search_tree.py"
""" 删除结点 """ """ 删除结点 """
def remove(self, num: int) -> typing.Optional[TreeNode]: def remove(self, num: int) -> Optional[TreeNode]:
root = self.root root = self.root
# 若树为空，直接提前返回 # 若树为空，直接提前返回
if root is None: if root is None:

8
docs/chapter_tree/binary_tree_traversal.md
View file

@ -66,7 +66,7 @@ comments: true
```python title="binary_tree_bfs.py" ```python title="binary_tree_bfs.py"
""" 层序遍历 """ """ 层序遍历 """
def hier_order(root: TreeNode): def hier_order(root: Optional[TreeNode]):
# 初始化队列，加入根结点 # 初始化队列，加入根结点
queue = collections.deque() queue = collections.deque()
queue.append(root) queue.append(root)
@ -277,7 +277,7 @@ comments: true
```python title="binary_tree_dfs.py" ```python title="binary_tree_dfs.py"
""" 前序遍历 """ """ 前序遍历 """
def pre_order(root: typing.Optional[TreeNode]): def pre_order(root: Optional[TreeNode]):
if root is None: if root is None:
return return
# 访问优先级：根结点 -> 左子树 -> 右子树 # 访问优先级：根结点 -> 左子树 -> 右子树
@ -286,7 +286,7 @@ comments: true
pre_order(root=root.right) pre_order(root=root.right)
""" 中序遍历 """ """ 中序遍历 """
def in_order(root: typing.Optional[TreeNode]): def in_order(root: Optional[TreeNode]):
if root is None: if root is None:
return return
# 访问优先级：左子树 -> 根结点 -> 右子树 # 访问优先级：左子树 -> 根结点 -> 右子树
@ -295,7 +295,7 @@ comments: true
in_order(root=root.right) in_order(root=root.right)
""" 后序遍历 """ """ 后序遍历 """
def post_order(root: typing.Optional[TreeNode]): def post_order(root: Optional[TreeNode]):
if root is None: if root is None:
return return
# 访问优先级：左子树 -> 右子树 -> 根结点 # 访问优先级：左子树 -> 右子树 -> 根结点