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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
52 changed files with 409 additions and 10482 deletions
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docs/chapter_dynamic_programming/dp_solution_pipeline.md
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@@ -98,77 +98,9 @@ $$
- **终止条件**：当 $i = 0$ 且 $j = 0$ 时，返回代价 $grid[0, 0]$ 。
- **剪枝**：当 $i < 0$ 时或 $j < 0$ 时索引越界，此时返回代价 $+\infty$ ，代表不可行。
=== "Python"
```python title="min_path_sum.py"
[class]{}-[func]{min_path_sum_dfs}
```
=== "C++"
```cpp title="min_path_sum.cpp"
[class]{}-[func]{minPathSumDFS}
```
=== "Java"
```java title="min_path_sum.java"
[class]{min_path_sum}-[func]{minPathSumDFS}
```
=== "C#"
```csharp title="min_path_sum.cs"
[class]{min_path_sum}-[func]{MinPathSumDFS}
```
=== "Go"
```go title="min_path_sum.go"
[class]{}-[func]{minPathSumDFS}
```
=== "Swift"
```swift title="min_path_sum.swift"
[class]{}-[func]{minPathSumDFS}
```
=== "JS"
```javascript title="min_path_sum.js"
[class]{}-[func]{minPathSumDFS}
```
=== "TS"
```typescript title="min_path_sum.ts"
[class]{}-[func]{minPathSumDFS}
```
=== "Dart"
```dart title="min_path_sum.dart"
[class]{}-[func]{minPathSumDFS}
```
=== "Rust"
```rust title="min_path_sum.rs"
[class]{}-[func]{min_path_sum_dfs}
```
=== "C"
```c title="min_path_sum.c"
[class]{}-[func]{minPathSumDFS}
```
=== "Zig"
```zig title="min_path_sum.zig"
[class]{}-[func]{minPathSumDFS}
```
```src
[file]{min_path_sum}-[class]{}-[func]{min_path_sum_dfs}
```
下图给出了以 $dp[2, 1]$ 为根节点的递归树，其中包含一些重叠子问题，其数量会随着网格 `grid` 的尺寸变大而急剧增多。
@@ -182,77 +114,9 @@ $$
我们引入一个和网格 `grid` 相同尺寸的记忆列表 `mem` ，用于记录各个子问题的解，并将重叠子问题进行剪枝。
=== "Python"
```python title="min_path_sum.py"
[class]{}-[func]{min_path_sum_dfs_mem}
```
=== "C++"
```cpp title="min_path_sum.cpp"
[class]{}-[func]{minPathSumDFSMem}
```
=== "Java"
```java title="min_path_sum.java"
[class]{min_path_sum}-[func]{minPathSumDFSMem}
```
=== "C#"
```csharp title="min_path_sum.cs"
[class]{min_path_sum}-[func]{MinPathSumDFSMem}
```
=== "Go"
```go title="min_path_sum.go"
[class]{}-[func]{minPathSumDFSMem}
```
=== "Swift"
```swift title="min_path_sum.swift"
[class]{}-[func]{minPathSumDFSMem}
```
=== "JS"
```javascript title="min_path_sum.js"
[class]{}-[func]{minPathSumDFSMem}
```
=== "TS"
```typescript title="min_path_sum.ts"
[class]{}-[func]{minPathSumDFSMem}
```
=== "Dart"
```dart title="min_path_sum.dart"
[class]{}-[func]{minPathSumDFSMem}
```
=== "Rust"
```rust title="min_path_sum.rs"
[class]{}-[func]{min_path_sum_dfs_mem}
```
=== "C"
```c title="min_path_sum.c"
[class]{}-[func]{minPathSumDFSMem}
```
=== "Zig"
```zig title="min_path_sum.zig"
[class]{}-[func]{minPathSumDFSMem}
```
```src
[file]{min_path_sum}-[class]{}-[func]{min_path_sum_dfs_mem}
```
如下图所示，在引入记忆化后，所有子问题的解只需计算一次，因此时间复杂度取决于状态总数，即网格尺寸 $O(nm)$ 。
@@ -262,77 +126,9 @@ $$
基于迭代实现动态规划解法。
=== "Python"
```python title="min_path_sum.py"
[class]{}-[func]{min_path_sum_dp}
```
=== "C++"
```cpp title="min_path_sum.cpp"
[class]{}-[func]{minPathSumDP}
```
=== "Java"
```java title="min_path_sum.java"
[class]{min_path_sum}-[func]{minPathSumDP}
```
=== "C#"
```csharp title="min_path_sum.cs"
[class]{min_path_sum}-[func]{MinPathSumDP}
```
=== "Go"
```go title="min_path_sum.go"
[class]{}-[func]{minPathSumDP}
```
=== "Swift"
```swift title="min_path_sum.swift"
[class]{}-[func]{minPathSumDP}
```
=== "JS"
```javascript title="min_path_sum.js"
[class]{}-[func]{minPathSumDP}
```
=== "TS"
```typescript title="min_path_sum.ts"
[class]{}-[func]{minPathSumDP}
```
=== "Dart"
```dart title="min_path_sum.dart"
[class]{}-[func]{minPathSumDP}
```
=== "Rust"
```rust title="min_path_sum.rs"
[class]{}-[func]{min_path_sum_dp}
```
=== "C"
```c title="min_path_sum.c"
[class]{}-[func]{minPathSumDP}
```
=== "Zig"
```zig title="min_path_sum.zig"
[class]{}-[func]{minPathSumDP}
```
```src
[file]{min_path_sum}-[class]{}-[func]{min_path_sum_dp}
```
下图展示了最小路径和的状态转移过程，其遍历了整个网格，**因此时间复杂度为 $O(nm)$** 。
@@ -380,74 +176,6 @@ $$
请注意，因为数组 `dp` 只能表示一行的状态，所以我们无法提前初始化首列状态，而是在遍历每行中更新它。
=== "Python"
```python title="min_path_sum.py"
[class]{}-[func]{min_path_sum_dp_comp}
```
=== "C++"
```cpp title="min_path_sum.cpp"
[class]{}-[func]{minPathSumDPComp}
```
=== "Java"
```java title="min_path_sum.java"
[class]{min_path_sum}-[func]{minPathSumDPComp}
```
=== "C#"
```csharp title="min_path_sum.cs"
[class]{min_path_sum}-[func]{MinPathSumDPComp}
```
=== "Go"
```go title="min_path_sum.go"
[class]{}-[func]{minPathSumDPComp}
```
=== "Swift"
```swift title="min_path_sum.swift"
[class]{}-[func]{minPathSumDPComp}
```
=== "JS"
```javascript title="min_path_sum.js"
[class]{}-[func]{minPathSumDPComp}
```
=== "TS"
```typescript title="min_path_sum.ts"
[class]{}-[func]{minPathSumDPComp}
```
=== "Dart"
```dart title="min_path_sum.dart"
[class]{}-[func]{minPathSumDPComp}
```
=== "Rust"
```rust title="min_path_sum.rs"
[class]{}-[func]{min_path_sum_dp_comp}
```
=== "C"
```c title="min_path_sum.c"
[class]{}-[func]{minPathSumDPComp}
```
=== "Zig"
```zig title="min_path_sum.zig"
[class]{}-[func]{minPathSumDPComp}
```
```src
[file]{min_path_sum}-[class]{}-[func]{min_path_sum_dp_comp}
```