mirror of
https://github.com/krahets/hello-algo.git
synced 2026-07-10 06:26:08 +00:00
Sort the coding languages by applications. (#721)
This commit is contained in:
@@ -33,9 +33,9 @@
|
||||
|
||||
二叉搜索树的查找操作与二分查找算法的工作原理一致,都是每轮排除一半情况。循环次数最多为二叉树的高度,当二叉树平衡时,使用 $O(\log n)$ 时间。
|
||||
|
||||
=== "Java"
|
||||
=== "Python"
|
||||
|
||||
```java title="binary_search_tree.java"
|
||||
```python title="binary_search_tree.py"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
@@ -45,9 +45,15 @@
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "Python"
|
||||
=== "Java"
|
||||
|
||||
```python title="binary_search_tree.py"
|
||||
```java title="binary_search_tree.java"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "C#"
|
||||
|
||||
```csharp title="binary_search_tree.cs"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
@@ -57,6 +63,12 @@
|
||||
[class]{binarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "Swift"
|
||||
|
||||
```swift title="binary_search_tree.swift"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "JS"
|
||||
|
||||
```javascript title="binary_search_tree.js"
|
||||
@@ -69,30 +81,6 @@
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "C"
|
||||
|
||||
```c title="binary_search_tree.c"
|
||||
[class]{binarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "C#"
|
||||
|
||||
```csharp title="binary_search_tree.cs"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "Swift"
|
||||
|
||||
```swift title="binary_search_tree.swift"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "Zig"
|
||||
|
||||
```zig title="binary_search_tree.zig"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "Dart"
|
||||
|
||||
```dart title="binary_search_tree.dart"
|
||||
@@ -105,6 +93,18 @@
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "C"
|
||||
|
||||
```c title="binary_search_tree.c"
|
||||
[class]{binarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
=== "Zig"
|
||||
|
||||
```zig title="binary_search_tree.zig"
|
||||
[class]{BinarySearchTree}-[func]{search}
|
||||
```
|
||||
|
||||
### 插入节点
|
||||
|
||||
给定一个待插入元素 `num` ,为了保持二叉搜索树“左子树 < 根节点 < 右子树”的性质,插入操作流程如下图所示。
|
||||
@@ -119,9 +119,9 @@
|
||||
- 二叉搜索树不允许存在重复节点,否则将违反其定义。因此,若待插入节点在树中已存在,则不执行插入,直接返回。
|
||||
- 为了实现插入节点,我们需要借助节点 `pre` 保存上一轮循环的节点。这样在遍历至 $\text{None}$ 时,我们可以获取到其父节点,从而完成节点插入操作。
|
||||
|
||||
=== "Java"
|
||||
=== "Python"
|
||||
|
||||
```java title="binary_search_tree.java"
|
||||
```python title="binary_search_tree.py"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
@@ -131,9 +131,15 @@
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "Python"
|
||||
=== "Java"
|
||||
|
||||
```python title="binary_search_tree.py"
|
||||
```java title="binary_search_tree.java"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "C#"
|
||||
|
||||
```csharp title="binary_search_tree.cs"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
@@ -143,6 +149,12 @@
|
||||
[class]{binarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "Swift"
|
||||
|
||||
```swift title="binary_search_tree.swift"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "JS"
|
||||
|
||||
```javascript title="binary_search_tree.js"
|
||||
@@ -155,30 +167,6 @@
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "C"
|
||||
|
||||
```c title="binary_search_tree.c"
|
||||
[class]{binarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "C#"
|
||||
|
||||
```csharp title="binary_search_tree.cs"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "Swift"
|
||||
|
||||
```swift title="binary_search_tree.swift"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "Zig"
|
||||
|
||||
```zig title="binary_search_tree.zig"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "Dart"
|
||||
|
||||
```dart title="binary_search_tree.dart"
|
||||
@@ -191,6 +179,18 @@
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "C"
|
||||
|
||||
```c title="binary_search_tree.c"
|
||||
[class]{binarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
=== "Zig"
|
||||
|
||||
```zig title="binary_search_tree.zig"
|
||||
[class]{BinarySearchTree}-[func]{insert}
|
||||
```
|
||||
|
||||
与查找节点相同,插入节点使用 $O(\log n)$ 时间。
|
||||
|
||||
### 删除节点
|
||||
@@ -230,9 +230,9 @@
|
||||
|
||||
删除节点操作同样使用 $O(\log n)$ 时间,其中查找待删除节点需要 $O(\log n)$ 时间,获取中序遍历后继节点需要 $O(\log n)$ 时间。
|
||||
|
||||
=== "Java"
|
||||
=== "Python"
|
||||
|
||||
```java title="binary_search_tree.java"
|
||||
```python title="binary_search_tree.py"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
@@ -242,9 +242,15 @@
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "Python"
|
||||
=== "Java"
|
||||
|
||||
```python title="binary_search_tree.py"
|
||||
```java title="binary_search_tree.java"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "C#"
|
||||
|
||||
```csharp title="binary_search_tree.cs"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
@@ -254,6 +260,12 @@
|
||||
[class]{binarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "Swift"
|
||||
|
||||
```swift title="binary_search_tree.swift"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "JS"
|
||||
|
||||
```javascript title="binary_search_tree.js"
|
||||
@@ -266,30 +278,6 @@
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "C"
|
||||
|
||||
```c title="binary_search_tree.c"
|
||||
[class]{binarySearchTree}-[func]{removeNode}
|
||||
```
|
||||
|
||||
=== "C#"
|
||||
|
||||
```csharp title="binary_search_tree.cs"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "Swift"
|
||||
|
||||
```swift title="binary_search_tree.swift"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "Zig"
|
||||
|
||||
```zig title="binary_search_tree.zig"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "Dart"
|
||||
|
||||
```dart title="binary_search_tree.dart"
|
||||
@@ -302,6 +290,18 @@
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
=== "C"
|
||||
|
||||
```c title="binary_search_tree.c"
|
||||
[class]{binarySearchTree}-[func]{removeNode}
|
||||
```
|
||||
|
||||
=== "Zig"
|
||||
|
||||
```zig title="binary_search_tree.zig"
|
||||
[class]{BinarySearchTree}-[func]{remove}
|
||||
```
|
||||
|
||||
### 中序遍历有序
|
||||
|
||||
如下图所示,二叉树的中序遍历遵循“左 $\rightarrow$ 根 $\rightarrow$ 右”的遍历顺序,而二叉搜索树满足“左子节点 $<$ 根节点 $<$ 右子节点”的大小关系。
|
||||
|
||||
Reference in New Issue
Block a user