mysql 索引优化法则

建表语句

CREATE TABLE staffs(

id INT PRIMARY KEY AUTO_INCREMENT,

NAME VARCHAR (24) NOT NULL DEFAULT '' COMMENT '姓名',

age INT NOT NULL DEFAULT 0 COMMENT '年龄',

pos VARCHAR (20) NOT NULL DEFAULT 0 COMMENT '职位',

add_time TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP COMMENT '入职时间'

) CHARSET utf8 COMMENT '员工记录表';

INSERT INTO staffs(NAME, age, pos, add_time) VALUES('ronnie', 22, 'manager', NOW());

INSERT INTO staffs(NAME, age, pos, add_time) VALUES('John', 23, 'devloper', NOW());

INSERT INTO staffs(NAME, age, pos, add_time) VALUES('2181', 27, 'devloper', NOW());

-- 建复合索引

alter table staffs add index idx_staffs_nameAgePos(name, age, pos);

mysql 优化法则

全值匹配我最爱(Kappa)

遵循最佳左前缀法则

如果索引了多列, 查询从索引的最左前列开始并且不跳过索引中的列。
其实索引本质是个单向链表, 你要先得到头才能逐渐往后取后面的, 中间断了就走不了后面的索引了。

正确使用 Demo:

mysql> explain select * from staffs where name = 'ronnie';

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref   | rows | filtered | Extra |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 74      | const |    1 |   100.00 | NULL  |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name = 'ronnie' and age = 22;

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------------+------+----------+-------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref         | rows | filtered | Extra |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------------+------+----------+-------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 78      | const,const |    1 |   100.00 | NULL  |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------------+------+----------+-------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name = 'ronnie' and age = 22 and pos = 'manager';

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------------------+------+----------+-------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref               | rows | filtered | Extra |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------------------+------+----------+-------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 140     | const,const,const |    1 |   100.00 | NULL  |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------------------+------+----------+-------+

1 row in set, 1 warning (0.00 sec)

违反使用Demo:(完全失效)[带头大哥死了]:

mysql> explain select * from staffs where age = 22 and pos = 'manager';

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |    33.33 | Using where |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where age = 22;

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |    33.33 | Using where |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where pos = 'manager';

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |    33.33 | Using where |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

完全失效, 执行了全表扫描。

违反使用Demo(部分失效)[中间兄弟断了]:

mysql> explain select * from staffs where name = 'ronnie' and pos = 'manager';

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-----------------------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref   | rows | filtered | Extra                 |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-----------------------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 74      | const |    1 |    33.33 | Using index condition |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-----------------------+

1 row in set, 1 warning (0.00 sec)

使用了复合索引 idx_staffs_nameAgePos, 但 reference 只有一个常量参数, 只用了最左侧的 name, 没用到 pos。

不在索引列上做任何操作(计算、函数、(自动 or 手动) 类型转换), 会导致索引失效而转向全表扫描

索引列上执行函数Demo:

mysql> explain select * from staffs where left(name,4) = 'John';

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |   100.00 | Using where |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

可以看到执行了全表扫描, 索引失效。

索引列上执行计算Demo:



mysql> explain select * from staffs where char_length('name') > 3;

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |   100.00 | NULL  |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------+

1 row in set, 1 warning (0.00 sec)

可以看到执行了全表扫描, 索引失效。

索引列上执行类型转换Demo:

mysql> select * from staffs where name = 2181;

+----+------+-----+----------+---------------------+

| id | NAME | age | pos      | add_time            |

+----+------+-----+----------+---------------------+

|  3 | 2181 |  27 | devloper | 2020-01-10 11:38:08 |

+----+------+-----+----------+---------------------+

1 row in set, 2 warnings (0.00 sec)

mysql> explain select * from staffs where name = 2181;

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    33.33 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 3 warnings (0.00 sec)

mysql> explain select * from staffs where name = '2181';

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref   | rows | filtered | Extra |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 74      | const |    1 |   100.00 | NULL  |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-------+

1 row in set, 1 warning (0.00 sec)

这种就是比较坑的, 平时写sql是不注意, varChar类型请务必加上' ', 如果不加, mysql底层会进行类型的隐式转换, 造成索引失效。

存储引擎不能使用索引中范围条件右边的列

范围之后全失效, 所以建索引是一门学问, 需要对常用的业务sql进行综合考量。

Demo:

mysql> explain select * from staffs where name = 'John' and age > 22 and pos = 'devloper';

+----+-------------+--------+------------+-------+-----------------------+-----------------------+---------+------+------+----------+-----------------------+

| id | select_type | table  | partitions | type  | possible_keys         | key                   | key_len | ref  | rows | filtered | Extra                 |

+----+-------------+--------+------------+-------+-----------------------+-----------------------+---------+------+------+----------+-----------------------+

|  1 | SIMPLE      | staffs | NULL       | range | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 78      | NULL |    1 |    33.33 | Using index condition |

+----+-------------+--------+------------+-------+-----------------------+-----------------------+---------+------+------+----------+-----------------------+

1 row in set, 1 warning (0.00 sec)

我们的索引是这样建的: name -> age -> pos
由于中间的age进行了范围查询, 会导致后续的索引全部失效。

尽量使用覆盖索引(只访问索引的查询(索引列和查询列一致)), 减少select *

对比Demo:

mysql> explain select * from staffs where name = 'John' and pos = 'devloper';

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-----------------------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref   | rows | filtered | Extra                 |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-----------------------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 74      | const |    1 |    33.33 | Using index condition |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+-----------------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select name, age, pos from staffs where name = 'John' and pos = 'devloper';

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+--------------------------+

| id | select_type | table  | partitions | type | possible_keys         | key                   | key_len | ref   | rows | filtered | Extra                    |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+--------------------------+

|  1 | SIMPLE      | staffs | NULL       | ref  | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 74      | const |    1 |    33.33 | Using where; Using index |

+----+-------------+--------+------------+------+-----------------------+-----------------------+---------+-------+------+----------+--------------------------+

1 row in set, 1 warning (0.00 sec)

可以看到extra多了 Using index, 表面select操作中使用了覆盖索引(Covering Index), 避免了访问表的数据行。

mysql 在使用不等于(!= 或者 <>) 的时候无法使用索引会导致全表扫描

Demo:

mysql> explain select * from staffs where name != 'John';

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    66.67 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name <> 'John';

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    66.67 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

is null, is not null 也无法使用索引

底层原因是: null 不能转换为索引表示的数字来索引

Demo:

mysql> explain select * from staffs where name is null;

+----+-------------+-------+------------+------+---------------+------+---------+------+------+----------+------------------+

| id | select_type | table | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra            |

+----+-------------+-------+------------+------+---------------+------+---------+------+------+----------+------------------+

|  1 | SIMPLE      | NULL  | NULL       | NULL | NULL          | NULL | NULL    | NULL | NULL |     NULL | Impossible WHERE |

+----+-------------+-------+------------+------+---------------+------+---------+------+------+----------+------------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name is not null;

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    66.67 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

like 以通配符开头('%abc...') mysql 索引失效会变成全表扫描的操作

Demo:

mysql> explain select * from staffs where name like '%ronnie';

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |    33.33 | Using where |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name like '%ronnie%';

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | NULL          | NULL | NULL    | NULL |    3 |    33.33 | Using where |

+----+-------------+--------+------------+------+---------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name like 'ronnie%';

+----+-------------+--------+------------+-------+-----------------------+-----------------------+---------+------+------+----------+-----------------------+

| id | select_type | table  | partitions | type  | possible_keys         | key                   | key_len | ref  | rows | filtered | Extra                 |

+----+-------------+--------+------------+-------+-----------------------+-----------------------+---------+------+------+----------+-----------------------+

|  1 | SIMPLE      | staffs | NULL       | range | idx_staffs_nameAgePos | idx_staffs_nameAgePos | 74      | NULL |    1 |   100.00 | Using index condition |

+----+-------------+--------+------------+-------+-----------------------+-----------------------+---------+------+------+----------+-----------------------+

1 row in set, 1 warning (0.00 sec)

可以看到只有% 在右边的查询使用了索引

这个情况就比较蛋疼, 如果你们业务上就需要百分号在左边, 需要使用覆盖索引来优化。

mysql> explain select id, name from staffs where name like '%ronnie%';

+----+-------------+--------+------------+-------+---------------+-----------------------+---------+------+------+----------+--------------------------+

| id | select_type | table  | partitions | type  | possible_keys | key                   | key_len | ref  | rows | filtered | Extra                    |

+----+-------------+--------+------------+-------+---------------+-----------------------+---------+------+------+----------+--------------------------+

|  1 | SIMPLE      | staffs | NULL       | index | NULL          | idx_staffs_nameAgePos | 140     | NULL |    3 |    33.33 | Using where; Using index |

+----+-------------+--------+------------+-------+---------------+-----------------------+---------+------+------+----------+--------------------------+

1 row in set, 1 warning (0.00 sec)

做查询如果数据量大的话用 Lucene, Solr, ElasticSearch 不香吗?

字符串不加单引号索引失效(mysql会自己做隐式转换)
- Demo 同3

少用or, 用它来连接时会索引失效

Demo:

mysql> explain select * from staffs where name = 'John' or name = 'ronnie';

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    66.67 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name = 'John' or age = 23;

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    55.56 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.00 sec)

mysql> explain select * from staffs where name = 'John' or pos = 'manager';

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

| id | select_type | table  | partitions | type | possible_keys         | key  | key_len | ref  | rows | filtered | Extra       |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

|  1 | SIMPLE      | staffs | NULL       | ALL  | idx_staffs_nameAgePos | NULL | NULL    | NULL |    3 |    55.56 | Using where |

+----+-------------+--------+------------+------+-----------------------+------+---------+------+------+----------+-------------+

1 row in set, 1 warning (0.01 sec)

mysql 索引优化法则的更多相关文章

MYSQL索引优化法则
目录一首诗送给各位: 全值匹配我最爱,最左前缀要遵守: 带头大哥不能死,中间兄弟不能断: 索引列上少计算,范围之后全失效: Like百分写最右,覆盖索引不写星: 不等空值还有or,索引失效要少用: ...
mysql索引优化
mysql 索引优化 >mysql一次查询只能使用一个索引.如果要对多个字段使用索引,建立复合索引. >越小的数据类型通常更好:越小的数据类型通常在磁盘.内存和CPU缓存中都需要更少的空间 ...
Mysql 索引优化分析
MySQL索引优化分析为什么你写的sql查询慢?为什么你建的索引常失效?通过本章内容,你将学会MySQL性能下降的原因,索引的简介,索引创建的原则,explain命令的使用,以及explain输出字 ...
知识点：Mysql 索引优化实战（3）
知识点:Mysql 索引原理完全手册(1) 知识点:Mysql 索引原理完全手册(2) 知识点:Mysql 索引优化实战(3) 知识点:Mysql 数据库索引优化实战(4) 索引原理知识回顾索引的性 ...
MySQL索引优化步骤总结
在项目使用mysql过程中,随着系统的运行,发现一些慢查询,在这里总结一下mysql索引优化步骤 1.开发过程优化开发过程中对业务表中查询sql分析sql执行计划(尤其是业务流水表),主要是查看sq ...
MySQL索引优化看这篇文章就够了！
阅读本文大概需要 5 分钟. 来源:cnblogs.com/songwenjie/p/9410009.html 本文主要讨论MySQL索引的部分知识.将会从MySQL索引基础.索引优化实战和数据库索引 ...
mysql索引优化比普通查询速度快多少
mysql索引优化比普通查询速度快多少一.总结一句话总结:普通查询全表查询,速度较慢,索引优化的话拿空间换时间,一针见血,所以速度要快很多. 索引优化快很多空间换时间 1.软件层面优化数据库查询 ...
mySql索引优化分析
MySQL索引优化分析为什么你写的sql查询慢?为什么你建的索引常失效?通过本章内容,你将学会MySQL性能下降的原因,索引的简介,索引创建的原则,explain命令的使用,以及explain输出字 ...
【ZZ】MySQL 索引优化全攻略 | 菜鸟教程
MySQL 索引优化全攻略 http://www.runoob.com/w3cnote/mysql-index.html

随机推荐

java 抛出异常与finally的混用对于语句块的执行顺序的影响
代码如下: package test1; public class EmbededFinally { public static void main(String args[]) { int resu ...
Jmeter_用户定义的变量
1.线程组->添加->配置原件->用户定义的变量 2.自定义变量引用: ${ }
java编译问题之Description Resource Path Location Type Java compiler level does not match the version of
project 编译问题,需要三处的jdk版本要保持一致,才能编译通过. 1.在项目上右键properties->project Facets->修改右侧的version 保持一致 2. ...
CSS三列自适应布局（两边宽度固定，中间自适应）
https://blog.csdn.net/cinderella_hou/article/details/52156333 https://blog.csdn.net/wangchengiii/art ...
「国家集训队」middle
「国家集训队」middle 传送门按照中位数题的套路,二分答案 $mid$,序列中 $\ge mid$ 记为 $1$,$< mid$ 的记为 $-1$ 然后只要存在一个区间 ...
【快学SpringBoot】SpringBoot+Docker构建、运行、部署应用
前言 Docker技术发展为当前流行的微服务提供了更加便利的环境,使用SpringBoot+Docker部署和发布应用,其实也是一件比较简单的事情.当前,前提是得有Docker的基础. 源码在文末文 ...
icos下配置snake test
Topo: # $language = "Python" # $interface = "1.0"# Author:Bing Song# Date:6/21/2 ...
Python学习第十二课——json&pickle&XML模块&OS模块
json模块 import json dic={'name':'hanhan'} i=8 s='hello' l=[11,22] data=json.dumps(dic) #json.dumps() ...
Thymeleaf的内置属性（转）
原文链接: http://somefuture.iteye.com/blog/2253761 Thymeleaf是另一个Java视图模板引擎,使用上和FreeMarker各有千秋,不了解的可以从其他博 ...
[USACO 08MAR]土地购买
Description 题库链接给你 $n$ 块不同大小的土地.你可分批购买这些土地,每一批价格为这一批中最大的长乘最大的宽.问你买下所有土地的花费最小为多少. \(1\leq n\leq 50 ...

mysql 索引优化法则

建表语句

mysql 优化法则

mysql 索引优化法则的更多相关文章

随机推荐

热门专题