> For the complete documentation index, see [llms.txt](https://aye10032.gitbook.io/data-structure/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://aye10032.gitbook.io/data-structure/3-zhan-he-dui-lie.md).

# 3、栈和队列

## 3.1 栈

### 1、构造

顺序实现

```
typedef struct
{
    ElemType data[MaxSize];
    int top;
} Stack;
```

链式实现

```c
typedef struct Linknode
{
    ElemType data;
    struct Linknode *next;
} *LiStack;
```

### 2、计算

当有n个不同的元素入栈，出栈序列的个数为：

$$
\frac{1}{n+1} C\_{2n}^{n}
$$

给定二叉树的**前序序列**作为入栈队列，则所有的出栈为所有可能的**中序遍历**

## 3.2 队列

### 1、构造

```c
typedef struct
{
    ElemType data[MaxSize];
    int front, rear; //队头和队尾指针
} SqQueue;
```

队头出、队尾入

### 2、中缀转后缀

* **操作数**：直接加入表达式
* **界限符**
  * “(”：直接入栈
  * “)”：依次弹出运算符，直到“(”为止
* **运算符**
  * 依次弹出栈中优先级大于等于当前运算符的所有运算符
  * 碰到“(”或栈空停止


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