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Squash the language code blocks and fix list.md (#865)

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Yudong Jin
2023-10-16 12:06:00 -05:00
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parent 346c8451de
commit faa44fecd2
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296
docs/chapter_dynamic_programming/knapsack_problem.md
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@ -56,77 +56,9 @@ $$
- **终止条件**：当物品编号越界 $i = 0$ 或背包剩余容量为 $0$ 时，终止递归并返回价值 $0$ 。
- **剪枝**：若当前物品重量超出背包剩余容量，则只能不放入背包。
=== "Python"
```python title="knapsack.py"
[class]{}-[func]{knapsack_dfs}
```
=== "C++"
```cpp title="knapsack.cpp"
[class]{}-[func]{knapsackDFS}
```
=== "Java"
```java title="knapsack.java"
[class]{knapsack}-[func]{knapsackDFS}
```
=== "C#"
```csharp title="knapsack.cs"
[class]{knapsack}-[func]{KnapsackDFS}
```
=== "Go"
```go title="knapsack.go"
[class]{}-[func]{knapsackDFS}
```
=== "Swift"
```swift title="knapsack.swift"
[class]{}-[func]{knapsackDFS}
```
=== "JS"
```javascript title="knapsack.js"
[class]{}-[func]{knapsackDFS}
```
=== "TS"
```typescript title="knapsack.ts"
[class]{}-[func]{knapsackDFS}
```
=== "Dart"
```dart title="knapsack.dart"
[class]{}-[func]{knapsackDFS}
```
=== "Rust"
```rust title="knapsack.rs"
[class]{}-[func]{knapsack_dfs}
```
=== "C"
```c title="knapsack.c"
[class]{}-[func]{knapsackDFS}
```
=== "Zig"
```zig title="knapsack.zig"
[class]{}-[func]{knapsackDFS}
```
```src
[file]{knapsack}-[class]{}-[func]{knapsack_dfs}
```
如下图所示，由于每个物品都会产生不选和选两条搜索分支，因此时间复杂度为 $O(2^n)$ 。
@ -140,77 +72,9 @@ $$
引入记忆化之后，**时间复杂度取决于子问题数量**，也就是 $O(n \times cap)$ 。
=== "Python"
```python title="knapsack.py"
[class]{}-[func]{knapsack_dfs_mem}
```
=== "C++"
```cpp title="knapsack.cpp"
[class]{}-[func]{knapsackDFSMem}
```
=== "Java"
```java title="knapsack.java"
[class]{knapsack}-[func]{knapsackDFSMem}
```
=== "C#"
```csharp title="knapsack.cs"
[class]{knapsack}-[func]{KnapsackDFSMem}
```
=== "Go"
```go title="knapsack.go"
[class]{}-[func]{knapsackDFSMem}
```
=== "Swift"
```swift title="knapsack.swift"
[class]{}-[func]{knapsackDFSMem}
```
=== "JS"
```javascript title="knapsack.js"
[class]{}-[func]{knapsackDFSMem}
```
=== "TS"
```typescript title="knapsack.ts"
[class]{}-[func]{knapsackDFSMem}
```
=== "Dart"
```dart title="knapsack.dart"
[class]{}-[func]{knapsackDFSMem}
```
=== "Rust"
```rust title="knapsack.rs"
[class]{}-[func]{knapsack_dfs_mem}
```
=== "C"
```c title="knapsack.c"
[class]{}-[func]{knapsackDFSMem}
```
=== "Zig"
```zig title="knapsack.zig"
[class]{}-[func]{knapsackDFSMem}
```
```src
[file]{knapsack}-[class]{}-[func]{knapsack_dfs_mem}
```
下图展示了在记忆化递归中被剪掉的搜索分支。
@ -220,77 +84,9 @@ $$
动态规划实质上就是在状态转移中填充 $dp$ 表的过程，代码如下所示。
=== "Python"
```python title="knapsack.py"
[class]{}-[func]{knapsack_dp}
```
=== "C++"
```cpp title="knapsack.cpp"
[class]{}-[func]{knapsackDP}
```
=== "Java"
```java title="knapsack.java"
[class]{knapsack}-[func]{knapsackDP}
```
=== "C#"
```csharp title="knapsack.cs"
[class]{knapsack}-[func]{KnapsackDP}
```
=== "Go"
```go title="knapsack.go"
[class]{}-[func]{knapsackDP}
```
=== "Swift"
```swift title="knapsack.swift"
[class]{}-[func]{knapsackDP}
```
=== "JS"
```javascript title="knapsack.js"
[class]{}-[func]{knapsackDP}
```
=== "TS"
```typescript title="knapsack.ts"
[class]{}-[func]{knapsackDP}
```
=== "Dart"
```dart title="knapsack.dart"
[class]{}-[func]{knapsackDP}
```
=== "Rust"
```rust title="knapsack.rs"
[class]{}-[func]{knapsack_dp}
```
=== "C"
```c title="knapsack.c"
[class]{}-[func]{knapsackDP}
```
=== "Zig"
```zig title="knapsack.zig"
[class]{}-[func]{knapsackDP}
```
```src
[file]{knapsack}-[class]{}-[func]{knapsack_dp}
```
如下图所示，时间复杂度和空间复杂度都由数组 `dp` 大小决定，即 $O(n \times cap)$ 。
@ -367,74 +163,6 @@ $$
在代码实现中，我们仅需将数组 `dp` 的第一维 $i$ 直接删除，并且把内循环更改为倒序遍历即可。
=== "Python"
```python title="knapsack.py"
[class]{}-[func]{knapsack_dp_comp}
```
=== "C++"
```cpp title="knapsack.cpp"
[class]{}-[func]{knapsackDPComp}
```
=== "Java"
```java title="knapsack.java"
[class]{knapsack}-[func]{knapsackDPComp}
```
=== "C#"
```csharp title="knapsack.cs"
[class]{knapsack}-[func]{KnapsackDPComp}
```
=== "Go"
```go title="knapsack.go"
[class]{}-[func]{knapsackDPComp}
```
=== "Swift"
```swift title="knapsack.swift"
[class]{}-[func]{knapsackDPComp}
```
=== "JS"
```javascript title="knapsack.js"
[class]{}-[func]{knapsackDPComp}
```
=== "TS"
```typescript title="knapsack.ts"
[class]{}-[func]{knapsackDPComp}
```
=== "Dart"
```dart title="knapsack.dart"
[class]{}-[func]{knapsackDPComp}
```
=== "Rust"
```rust title="knapsack.rs"
[class]{}-[func]{knapsack_dp_comp}
```
=== "C"
```c title="knapsack.c"
[class]{}-[func]{knapsackDPComp}
```
=== "Zig"
```zig title="knapsack.zig"
[class]{}-[func]{knapsackDPComp}
```
```src
[file]{knapsack}-[class]{}-[func]{knapsack_dp_comp}
```