请分别用程序流程图、N-S图、PAD图描述下面程序的算法: 求整数1~n的累加和Sum
时间: 2024-11-05 18:28:49 浏览: 34
流程图转PAD-N-S图和伪码(软件工程).pdf
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为了清晰地解释这个过程,我会简单地描述如何用三种常见的软件设计工具——程序流程图、N-S(Jackson)图以及PAD(Program-Area Diagram)图来表示计算整数1到n累加和的算法。
**1. 程序流程图 (PFD):**
```plaintext
+--+
| |
V V
| 输入 n |
| |
V V
| 初始化 Sum = 0 |
| |
V V
| for i = 1 to n |
| |
V V
| Sum = Sum + i |
| |
V V
| 结束循环 |
| |
+--+
| 输出 Sum |
+-------------------+
```
**2. N-S (Jackson) 图:**
```plaintext
+--------+-------------+
| Start | Initialize |
+--------+-------------+
|
V
+---------------------+
| Input n and set Sum=0|
+--+
| For loop: |
+---------------------+
|
+---------------------+----------------------+
| | |
V V |
| Sum = Sum + i |
| | |
V V |
| End loop Output Sum |
+--+----------------------+
```
**3. PAD (Program-Area Diagram):**
```plaintext
+----------------+ +----------------+ +----------------+
| Start Point |-------->| Read Input 'n' |----->| Set Sum to 0 |
+----------------+ +----------------+ +----------------+
|
V
+-----------------------+
| Initialize Loop Block |
+--+
|
V
+----------------+-----------------+
| Add i to Sum | Check Exit Condition |
+-----+
| Update Sum Value |
+-------------------+
|
V
+-----------------+
| End of Loop |
+-----------------+
|
V
+----------------+
| Output Sum |
+----------------+
```
在所有这三种图中,都展示了从开始读取输入n,初始化累加和,然后通过循环累加每个数字,直到达到n,最后输出累加和的基本步骤。每种图都有其特定的表达方式,但核心逻辑是一致的。
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