课程内容提交

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MYP
2020-09-06 12:07:40 +08:00
parent 997bcd7e94
commit c57c80b52e
6 changed files with 389 additions and 0 deletions

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# <20><><EFBFBD><EFBFBD>
֪ʶ<EFBFBD><EFBFBD><EFBFBD>
![֪ʶ<EFBFBD>](https://img-blog.csdnimg.cn/20200906115502350.png)
---
## һ<><D2BB>ʲô<CAB2><C3B4><EFBFBD><EFBFBD><EFBFBD>ݽṹ
<EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>IJ<EFBFBD>ѯ<EFBFBD><EFBFBD><EFBFBD>
$$
(a_1,b_1),(a_2,b_2),\dots,(a_n,b_n)
$$
$a_i$<24><><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE><EFBFBD><EFBFBD><EFBFBD><EFBFBD>$b_i$<24><><EFBFBD><EFBFBD>ʾ<EFBFBD><EFBFBD><E7BBB0><EFBFBD>룬$i=1,2,\dots,n$<24><>
˼<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֯<EFBFBD><D6AF><EFBFBD>ݣ<EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><E6B4A2><EFBFBD>ݣ<EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݣ<EFBFBD>
- <20><><EFBFBD>Ӳ<EFBFBD><D3B2><EFBFBD>
- ɾ<><C9BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20>޸IJ<DEB8><C4B2><EFBFBD>
- <20><>ѯ<EFBFBD><D1AF><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʵ<EFBFBD>֣<EFBFBD>
![<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>](https://img-blog.csdnimg.cn/20200906101144586.png)
<EFBFBD><EFBFBD>2<EFBFBD><EFBFBD>ѧ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ȼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ѯ<EFBFBD><EFBFBD><EFBFBD>
˼<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֯<EFBFBD><D6AF><EFBFBD>ݣ<EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><E6B4A2><EFBFBD>ݣ<EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݣ<EFBFBD>
- <20><><EFBFBD>Ӳ<EFBFBD><D3B2><EFBFBD>
- ɾ<><C9BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20>޸IJ<DEB8><C4B2><EFBFBD>
- <20><>ѯ<EFBFBD><D1AF><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʵ<EFBFBD>֣<EFBFBD>
![<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>](https://img-blog.csdnimg.cn/20200906101406453.png)
**<EFBFBD><EFBFBD><EFBFBD>ݽṹ<EFBFBD>Ķ<EFBFBD><EFBFBD>壨Data Structure<72><65>**
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݽṹ<EFBFBD><EFBFBD><EFBFBD>о<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݵ<EFBFBD><EFBFBD>߼<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֮<EFBFBD><EFBFBD><EFBFBD>Ĺ<EFBFBD>ϵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֽṹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƴ<EFBFBD><EFBFBD><EFBFBD>Ӧ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
<EFBFBD><EFBFBD>ʽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݽṹ<EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD>
$$
Data\_Struct=(D,R)
$$
<EFBFBD><EFBFBD><EFBFBD>У<EFBFBD>$D$<24><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>ص<EFBFBD><D8B5><EFBFBD><EFBFBD>޼<EFBFBD><DEBC>ϣ<EFBFBD> $R$<24><><EFBFBD><EFBFBD>$D$<24>Ϲ<EFBFBD>ϵ<EFBFBD><CFB5><EFBFBD><EFBFBD><EFBFBD>޼<EFBFBD><DEBC>ϡ<EFBFBD>
<EFBFBD><EFBFBD>3<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ͻṹ<EFBFBD><EFBFBD>
$Set=(D,R)$ <20><><EFBFBD>У<EFBFBD>$D=\lbrace item_1,item_2,item_3,item_4,itme_5 \rbrace$<24><>$R=\lbrace \rbrace$ <20><>Ԫ<EFBFBD><D4AA>֮<EFBFBD><D6AE>û<EFBFBD>й<EFBFBD>ϵ<EFBFBD><CFB5><EFBFBD><EFBFBD>
<EFBFBD><EFBFBD><EFBFBD>
- Python<6F><6E><EFBFBD><EFBFBD><EFBFBD>е<EFBFBD> `Set`
- C#<23><><EFBFBD><EFBFBD><EFBFBD>е<EFBFBD> `HashSet`<EFBFBD><EFBFBD>
<EFBFBD><EFBFBD>4<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Խṹ<EFBFBD><EFBFBD>
$Line=(D,R)$<24><><EFBFBD>У<EFBFBD>$R=\lbrace <itme_5,item_1>,<item_1,item_3>,<item_3,item_4>,<item_4,item_2> \rbrace$<24><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>β<EFBFBD><CEB2><EFBFBD><EFBFBD><E3A3AC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֻ<EFBFBD><D6BB>һ<EFBFBD><D2BB>ֱ<EFBFBD><D6B1>ǰ<EFBFBD><C7B0><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>ֱ<EFBFBD>Ӻ<EFBFBD><D3BA>̣<EFBFBD><CCA3><EFBFBD>
<EFBFBD><EFBFBD><EFBFBD>
- Numpy <20>е<EFBFBD>`ndarray`
- C#<23><><EFBFBD><EFBFBD><EFBFBD>е<EFBFBD><D0B5><EFBFBD><EFBFBD><EFBFBD>
- Matlab<61>еľ<D0B5><C4BE><EFBFBD>
---
## <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
**1<><31><EFBFBD><EFBFBD><EFBFBD>ݣ<EFBFBD>Data<74><61>**
ָ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>в<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķ<EFBFBD><EFBFBD>ż<EFBFBD><EFBFBD>ϡ<EFBFBD>
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><EFBFBD><EFBFBD>ݣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҳ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><EFBFBD><EFBFBD>ݣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ַ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֡<EFBFBD>ͼ<EFBFBD>Ρ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȡ<EFBFBD>
**2<><32><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>أ<EFBFBD>Data Element<6E><74>**
<EFBFBD><EFBFBD><EFBFBD>ݵĻ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>Ҳ<EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¼<EFBFBD><EFBFBD>
<EFBFBD>ڼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>У<EFBFBD>ͨ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊһ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>п<EFBFBD><EFBFBD>Ǻʹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
**3<><33><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Data Item<65><6D>**
<EFBFBD><EFBFBD><EFBFBD>ж<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>С<EFBFBD><EFBFBD>ʶ<EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>Ҳ<EFBFBD><EFBFBD>Ϊ<EFBFBD>ֶΣ<EFBFBD>Field<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݿ<EFBFBD><EFBFBD><EFBFBD>Ϣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵͳ<EFBFBD>У<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݱ<EFBFBD><EFBFBD>е<EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>¼<EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>ء<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¼<EFBFBD>е<EFBFBD>ѧ<EFBFBD><EFBFBD>ѧ<EFBFBD>š<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ա𡢼<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¡<EFBFBD><EFBFBD>ɼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֶξ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
<EFBFBD>ɼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɡ<EFBFBD>
**4<><34><EFBFBD>߼<EFBFBD><DFBC><EFBFBD><E1B9B9>Logic Structure<72><65>**
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֮<EFBFBD><EFBFBD><EFBFBD>߼<EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
![<EFBFBD>߼<EFBFBD><EFBFBD>](https://img-blog.csdnimg.cn/20200906104744948.png)
**5<><35><EFBFBD><EFBFBD><EFBFBD><E1B9B9>Storage Structure<72><65>**
<EFBFBD>߼<EFBFBD><EFBFBD><EFBFBD>ڼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>е<EFBFBD>ʵ<EFBFBD>֣<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>еĴ<EFBFBD><EFBFBD>ŷ<EFBFBD>ʽ<EFBFBD><EFBFBD>
- ˳<><CBB3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݽ<EFBFBD><DDBD>д洢<D0B4><E6B4A2>
- <20><>ʽ<EFBFBD><CABD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ָ<EFBFBD><D6B8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݽ<EFBFBD><DDBD>д洢<D0B4><E6B4A2>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><CEBB><EFBFBD>ݵĴ洢<C4B4><E6B4A2>
- ɢ<>У<EFBFBD><D0A3><EFBFBD><EFBFBD><EFBFBD>ɢ<EFBFBD>к<EFBFBD><D0BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>عؼ<D8B9><D8BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><CEBB><EFBFBD>ݵĴ洢<C4B4><E6B4A2>
**6<><36><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͣ<EFBFBD>Data Type<70><65>**
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݵ<EFBFBD>ȡֵ<EFBFBD><EFBFBD>Χ<EFBFBD>Ͷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ݽ<EFBFBD><EFBFBD>в<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ܺ͡<EFBFBD>
<EFBFBD>磺int<EFBFBD><EFBFBD>long<EFBFBD><EFBFBD>float<EFBFBD><EFBFBD>double<EFBFBD><EFBFBD>bool<EFBFBD><EFBFBD>char<EFBFBD><EFBFBD>
**7<><37><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͣ<EFBFBD>Abstract Data Type<70><65>**
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Լ<EFBFBD><EFBFBD>ڸ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɡ<EFBFBD>
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>͵ĸ<EFBFBD>ʽ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>£<EFBFBD>
```python
ADT Name is
Data
<EFBFBD><EFBFBD><EFBFBD>ɸó<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ļ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Operations
Constructor
Initial Values<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
Press<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Operation1
Input<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>1Ҫ<EFBFBD><EFBFBD><EFBFBD>û<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
PreCondition<EFBFBD><EFBFBD>ϵͳִ<EFBFBD>в<EFBFBD><EFBFBD><EFBFBD>1ǰ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>״̬
Press<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>1<EFBFBD>Ľ<EFBFBD><EFBFBD><EFBFBD>˵<EFBFBD><EFBFBD>
Output<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>󷵻ص<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
PostCondition<EFBFBD><EFBFBD>ϵͳִ<EFBFBD>в<EFBFBD><EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>״̬
Operation2
<EFBFBD><EFBFBD> <EFBFBD><EFBFBD>
OperationN
<EFBFBD><EFBFBD> <EFBFBD><EFBFBD>
End ADT Name
```
<EFBFBD><EFBFBD>5<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ν<EFBFBD><EFBFBD>ADT<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
```python
ADT Rectangle is
Data
float Length
float Width
Operations
Constructor
Initial Values<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϳ<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><EFBFBD>
Press<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>󣬸<EFBFBD><EFBFBD><EFBFBD><EFBFBD>εij<EFBFBD><EFBFBD>Ϳ<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><EFBFBD>
SetLength
Input<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Length<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
PreCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Press<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>εij<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD>޸<EFBFBD>Ϊ<EFBFBD><EFBFBD>ֵ
Output<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
PostCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>εij<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><EFBFBD><EFBFBD>޸<EFBFBD>
SetWidth
Input<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Width<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
PreCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Press<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ο<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD>޸<EFBFBD>Ϊ<EFBFBD><EFBFBD>ֵ
Output<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
PostCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>εĿ<EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><EFBFBD><EFBFBD>޸<EFBFBD>
GetArea
Input<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
PreCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>εij<EFBFBD><EFBFBD>ȺͿ<EFBFBD><EFBFBD>ȶ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Press<EFBFBD><EFBFBD><EFBFBD>õ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ε<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Output<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ؾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ
PostCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
GetPerimeter
Input<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
PreCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>εij<EFBFBD><EFBFBD>ȺͿ<EFBFBD><EFBFBD>ȶ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
Press<EFBFBD><EFBFBD><EFBFBD>õ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ε<EFBFBD><EFBFBD>ܳ<EFBFBD>
Output<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ؾ<EFBFBD><EFBFBD>ε<EFBFBD><EFBFBD>ܳ<EFBFBD>
PostCondition<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
End ADT Rectangle
```
һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˾<EFBFBD><EFBFBD>ν<EFBFBD><EFBFBD>ADT<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϳ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ô<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʵ<EFBFBD><EFBFBD><EFBFBD>ˡ<EFBFBD>
```c
public class Rectangle
{
public float Length;
public float Width;
public Rectangle(float length, float width)
{
Length = length > 0 ? length : 0f;
Width = width > 0 ? width : 0f;
}
public void SetLength(float length)
{
Length = length > 0 ? length : 0f;
}
public void SetWidth(float width)
{
Width = width > 0 ? width : 0f;
}
public float GetArea()
{
if (Length * Width == 0)
throw new ArgumentOutOfRangeException("<EFBFBD><EFBFBD><EFBFBD>Ȼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD>");
return Length * Width;
}
public float GetPerimeter()
{
if (Length * Width == 0)
throw new ArgumentOutOfRangeException("<EFBFBD><EFBFBD><EFBFBD>Ȼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD>");
return (Length + Width) * 2;
}
}
```
---
## <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><E3B7A8><EFBFBD><EFBFBD><E3B7A8><EFBFBD><EFBFBD>
**1<><31><EFBFBD><EFBFBD>Ļ<EFBFBD><C4BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>**
1.1 <20><EFBFBD>Ķ<EFBFBD><C4B6><EFBFBD>
Ϊ<EFBFBD>˽<EFBFBD><EFBFBD><EFBFBD>ij<EFBFBD><EFBFBD><EFBFBD>ض<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>򣬼<EFBFBD><EFBFBD><EFBFBD>ijЩֵ<EFBFBD><EFBFBD>ֵ<EFBFBD>ļ<EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ijЩֵ<EFBFBD><EFBFBD>ֵ<EFBFBD>ļ<EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һϵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
1.2 <20><EFBFBD><E3B7A8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><D2AA><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD>ԣ<EFBFBD>Finity<74><79><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>޵<EFBFBD>ʱ<EFBFBD><CAB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɡ<EFBFBD>
- ȷ<><C8B7><EFBFBD>Ի<EFBFBD><D4BB>޶<EFBFBD><DEB6><EFBFBD><EFBFBD>ԣ<EFBFBD>Unambiguousness<73><73><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͬ<EFBFBD><CDAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EBA3AC><EFBFBD>õ<EFBFBD><C3B5><EFBFBD>ͬ<EFBFBD><CDAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD>ԣ<EFBFBD>Realizability<74><79>
- <20><><EFBFBD>루Input<75><74><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>0<EFBFBD><30><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Output<75><74><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>1<EFBFBD><31><EFBFBD><EFBFBD>
1.3 <20><EFBFBD><E3B7A8><EFBFBD>Ƶ<EFBFBD><C6B5><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><D2AA>
- <20><>ȷ<EFBFBD>ԣ<EFBFBD>Correctness<73><73>
- <20>ɶ<EFBFBD><C9B6>ԣ<EFBFBD>Readability<74><79>
- <20><>׳<EFBFBD>ԣ<EFBFBD>Robustness<73><73><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>к<EFBFBD>ǿ<EFBFBD><C7BF><EFBFBD>ݴ<EFBFBD><DDB4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ա߽<D4B1><DFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><ECB3A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD>ʱ<EFBFBD>䣨Running Time<6D><65>
- ռ<>ÿռ䣨Storage Space<63><65><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɹ<EFBFBD><C9B9>ܵ<EFBFBD>ǰ<EFBFBD><C7B0><EFBFBD>£<EFBFBD>ʱ<EFBFBD><CAB1>Խ<EFBFBD>٣<EFBFBD><D9A3>ռ<EFBFBD>ԽС<D4BD><D0A1>Խ<EFBFBD>á<EFBFBD>
1.4 <20><EFBFBD><E3B7A8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʽ<EFBFBD><CABD>ͬ
- <20><EFBFBD><E3B7A8><EFBFBD><EFBFBD>Ȼ<EFBFBD><C8BB><EFBFBD>ԡ<EFBFBD>α<EFBFBD><CEB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ե<EFBFBD>
- <20><><EFBFBD>򣺼<EFBFBD><F2A3BABC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
- <20>Ƿ<EFBFBD><C7B7>߱<EFBFBD><DFB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
**2<><32><EFBFBD><EFBFBD><E3B7A8><EFBFBD><EFBFBD>**
2.1 ʱ<><EFBFBD>Ӷȣ<D3B6>Time Complexity<74><79>
1<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķѵ<EFBFBD>ʱ<EFBFBD><EFBFBD>
һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķѵ<EFBFBD>ʱ<EFBFBD><EFBFBD> = <20><EFBFBD><E3B7A8>ÿ<EFBFBD><C3BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ִ<EFBFBD><D6B4>ʱ<EFBFBD><CAB1>֮<EFBFBD><D6AE>
ÿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ִ<EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD> = <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ִ<EFBFBD>д<EFBFBD><D0B4><EFBFBD>$\times$<24><><EFBFBD><EFBFBD>ִ<EFBFBD><D6B4>һ<EFBFBD><D2BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><CAB1>
һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊÿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ִ<EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD><EFBFBD>ǵ<EFBFBD>λʱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķѵ<EFBFBD>ʱ<EFBFBD><EFBFBD> = <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ִ<EFBFBD><D6B4>Ƶ<EFBFBD><C6B5>֮<EFBFBD><D6AE>
<EFBFBD><EFBFBD>6<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>$A_{n\times n}\times B_{n \times n}$ <20><EFBFBD>ķѵ<C4B7>ʱ<EFBFBD>
```c
static double[,] MatrixMultiply(double[,] A, double[,] B, uint n)
{
double[,] C = new double[n, n]; // 1
for (int i = 0; i < n; i++) // n+1
{
for (int j = 0; j < n; j++) // n*(n+1)
{
C[i, j] = 0; // n*n
for (int k = 0; k < n; k++) // n*n*(n+1)
{
C[i, j] += A[i, k] * B[k, j]; // n*n*n
}
}
}
return C; // 1
}
```
$T(n)=2n^3+3n^2+2n+3$
2<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ĺ<EFBFBD>ģ
<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʾ<EFBFBD><EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><E2A3AC><EFBFBD><EFBFBD><EFBFBD>Ľ<EFBFBD><C4BD><EFBFBD><EFBFBD><EFBFBD>
- ͼ<><CDBC><EFBFBD><EFBFBD><EFBFBD>⣬ͼ<E2A3AC>Ľ<EFBFBD><C4BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ߵ<EFBFBD><DFB5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
3<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷ<EFBFBD> $T(n)$
<EFBFBD><EFBFBD><EFBFBD>Ǹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD><EFBFBD>ķѣ<EFBFBD><EFBFBD>ǹ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ģ$n$<24>ĺ<EFBFBD><C4BA><EFBFBD><EFBFBD><EFBFBD>
<EFBFBD><EFBFBD>$n\to\infty$ʱ<><CAB1><EFBFBD><EFBFBD>$T(n)$<24><>ͬ<EFBFBD>׵ļ򵥺<C4BC><F2B5A5BA><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><EFBFBD>Ľ<EFBFBD><C4BD><EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷȡ<D3B6>
<EFBFBD><EFBFBD>7<EFBFBD><EFBFBD> $T(n)=2n^3+3n^2+2n+3$
$\displaystyle \lim_{n \to \infty}{\frac{2n^3+3n^2+2n+3} {n^3}=2}$
<EFBFBD><EFBFBD><EFBFBD><EFBFBD> $T(n)=O(n^3)$
<EFBFBD><EFBFBD>8<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>㷨$A_1$<24><>$A_2$<24><><EFBFBD>ķ<EFBFBD>ʱ<EFBFBD><CAB1>$T_1(n)=100n^2$<24><>$T_2(n)=n^3+n+1$<24><><EFBFBD><EFBFBD>$n\to\infty$ʱ<><CAB1>$T_1(n)=O(n^2)$<24><>$T_2(n)=O(n^3)$<24><><EFBFBD><EFBFBD><EFBFBD>㷨$A_1$<24><><EFBFBD>ķѵ<C4B7>ʱ<EFBFBD><CAB1>ԶС<D4B6><D0A1><EFBFBD>㷨$A_2$<24><><EFBFBD>ں<EFBFBD><DABA><EFBFBD><EFBFBD>Ͽ<EFBFBD>ͨ<EFBFBD><CDA8><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷȱ<D3B6>ʾ<EFBFBD><EFBFBD><E3B7A8><EFBFBD><EFBFBD><EFBFBD>ӡ<EFBFBD>
һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǰѽ<EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷ<EFBFBD>$T(n)=O(f(n))$<24><><EFBFBD><EFBFBD>Ϊʱ<CEAA><EFBFBD>Ӷȡ<D3B6>$f(n)$<24><>ʾ<EFBFBD><EFBFBD><E3B7A8>Ƶ<EFBFBD><C6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƶ<EFBFBD><C6B5><EFBFBD><EFBFBD>
<EFBFBD><EFBFBD>9<EFBFBD><EFBFBD>
```c
int x = 0;
int y = 0;
for (int i = 0; i < n; i++)
x++;
for (int j = 0; j < n; j++)
for (int k = 0; k < n; k++)
y++;
```
$T(n)=O(n^2)$
<EFBFBD><EFBFBD>10<EFBFBD><EFBFBD>
```c
int i = 50;
int j = 60;
int temp = i;
i = j;
j = temp;
```
$T(n)=O(1)$
4<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷ<EFBFBD>
- <20><><EFBFBD><EFBFBD><EFBFBD>ף<EFBFBD>$O(1)$
- <20><><EFBFBD><EFBFBD><EFBFBD>ף<EFBFBD>$O(log(n))$
- <20><><EFBFBD>Խף<D4BD>$O(n)$
- <20><><EFBFBD>Զ<EFBFBD><D4B6><EFBFBD><EFBFBD>ף<EFBFBD>$O(nlog(n))$
- ƽ<><C6BD><EFBFBD>ף<EFBFBD>$O(n^2)$
- <20><><EFBFBD><EFBFBD><EFBFBD>ף<EFBFBD>$O(n^3)$
- $k$<24><><EFBFBD>ף<EFBFBD>$O(n^k)$
- ָ<><D6B8><EFBFBD>ף<EFBFBD>$O(2^n)$
5<EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷ<EFBFBD>
<EFBFBD><EFBFBD>11<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>`A[n]`<EFBFBD>в<EFBFBD><EFBFBD>Ҹ<EFBFBD><EFBFBD><EFBFBD>ֵ`k`<EFBFBD><EFBFBD>
```c
static int Find(int[] A, int k)
{
int i;
for (i = 0; i < A.Length; i++) //(#)
if (A[i] == k)
break;
return i == A.Length ? -1 : i;
}
```
- <20><>`A`<EFBFBD><EFBFBD>û<EFBFBD><EFBFBD><EFBFBD><EFBFBD>`k`<EFBFBD><EFBFBD><EFBFBD>ȵ<EFBFBD>Ԫ<EFBFBD>أ<EFBFBD><EFBFBD><EFBFBD>(#)<29><>Ƶ<EFBFBD><C6B5>$f(n)=n+1$<24><>
- <20><>`A`<EFBFBD>е<EFBFBD>1<EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>`k`<EFBFBD><EFBFBD><EFBFBD>ȣ<EFBFBD><EFBFBD><EFBFBD>(#)<29><>Ƶ<EFBFBD><C6B5>$f(n)=1$<24><>
<EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷȣ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>µ<EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷȡ<EFBFBD>
һ<EFBFBD><EFBFBD>ر<EFBFBD>˵<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>۵<EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷȣ<EFBFBD><EFBFBD><EFBFBD>ָ<EFBFBD>ʱ<EFBFBD><EFBFBD>Ӷȡ<EFBFBD>
2.2 <20>ռ<D5BC>Ӷȣ<D3B6>Space Complexity<74><79>
ָ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ķѵĴ洢<EFBFBD>ռ䣬Ҳ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ģ$n$<24>ĺ<EFBFBD><C4BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ռ<D5BC>Ӷ<EFBFBD>Ҳ<EFBFBD><D2B2><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD>ռ<D5BC>Ӷȡ<D3B6>