==============================================================================

按照非索引列更新

在可重复读的事务隔离级别下,在非索引列上进行更新和删除会对所有数据行进行加锁,阻止其他会话对边进行任何数据的增删改操作。

如果更新或删除条件为c3=4且c3列上没有索引则:
1、不允许其他会话插入任意记录,因为所有记录的主键索引上存在X排他锁,无法申请插入意向X锁(lock_mode X insert intention waiting Record lock)
2、不允许其他会话删除任意记录,因为所有记录的主键索引上存在X排他锁
3、不允许其他会话更新任意记录。因为所有记录的主键索引上存在X排他锁
##=========================================##
测试数据:
CREATE TABLE `tb4001` (
`id` bigint(20) NOT NULL AUTO_INCREMENT,
`c1` int(11) DEFAULT NULL,
`c2` varchar(200) DEFAULT NULL,
`c3` int(11) DEFAULT NULL,
PRIMARY KEY (`id`),
KEY `idx_c1` (`c1`)
) ENGINE=InnoDB AUTO_INCREMENT=1 DEFAULT CHARSET=utf8; insert into tb4001(c1,c2,c3) values(2,2,2);
insert into tb4001(c1,c2,c3) values(4,4,4);
insert into tb4001(c1,c2,c3) values(7,7,7);
insert into tb4001(c1,c2,c3) values(8,8,8); ##=========================================##
##测试1:在没有索引的列上更新
##事务隔离级别:RR
会话1:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=777 where c3=7; ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation; insert into tb4001(c1,c2,c3) values(9,9,9); ##执行结果:会话2被阻塞
使用SHOW ENGINE INNODB STATUS \G查看阻塞发生时的锁信息
------- TRX HAS BEEN WAITING 13 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 75 page no 3 n bits 80 index PRIMARY of table `test1`.`tb4001` trx id 10573 lock_mode X insert intention waiting Record lock, heap no 1 PHYSICAL RECORD: n_fields 1; compact format; info bits 0
0: len 8; hex 73757072656d756d; asc supremum;; ------------------
---TRANSACTION 10571, ACTIVE 404 sec
2 lock struct(s), heap size 1136, 5 row lock(s), undo log entries 1
MySQL thread id 52, OS thread handle 140674621650688, query id 1201 127.0.0.1 admin ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation; update tb4001 set c2=888 where c3=8; ##执行结果:会话2被阻塞
使用SHOW ENGINE INNODB STATUS \G查看阻塞发生时的锁信息
------- TRX HAS BEEN WAITING 5 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 75 page no 3 n bits 80 index PRIMARY of table `test1`.`tb4001` trx id 10573 lock_mode X waiting
Record lock, heap no 2 PHYSICAL RECORD: n_fields 6; compact format; info bits 0
0: len 8; hex 8000000000000001; asc ;;
1: len 6; hex 00000000293c; asc )<;;
2: len 7; hex b90000001c0110; asc ;;
3: len 4; hex 80000002; asc ;;
4: len 1; hex 32; asc 2;;
5: len 4; hex 80000002; asc ;; ------------------
---TRANSACTION 10571, ACTIVE 681 sec
2 lock struct(s), heap size 1136, 5 row lock(s), undo log entries 1
MySQL thread id 52, OS thread handle 140674621650688, query id 1201 127.0.0.1 admin ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation; delete from tb4001 where c3=8;
##执行结果:会话2被阻塞
使用SHOW ENGINE INNODB STATUS \G查看阻塞发生时的锁信息
------- TRX HAS BEEN WAITING 4 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 75 page no 3 n bits 80 index PRIMARY of table `test1`.`tb4001` trx id 10573 lock_mode X waiting
Record lock, heap no 2 PHYSICAL RECORD: n_fields 6; compact format; info bits 0
0: len 8; hex 8000000000000001; asc ;;
1: len 6; hex 00000000293c; asc )<;;
2: len 7; hex b90000001c0110; asc ;;
3: len 4; hex 80000002; asc ;;
4: len 1; hex 32; asc 2;;
5: len 4; hex 80000002; asc ;; ------------------
---TRANSACTION 10571, ACTIVE 790 sec
2 lock struct(s), heap size 1136, 5 row lock(s), undo log entries 1
MySQL thread id 52, OS thread handle 140674621650688, query id 1201 127.0.0.1 admin

==============================================================================

按照非唯一索引更新

在可重复读的事务隔离级别下,按照非主键非唯一索引进行更新和删除,会对满足条件的行加行锁+满足条件的区域加gap锁
如果更新或删除条件为c1=4且c1列上有非唯一索引则:
1、允许其他会话插入c1<>4的记录,但不允许插入c1=4的记录
2、允许其他会话更新c1<>4的记录,但不允许将记录更新为c1=4的记录
3、允许其他会话删除c1<>4的记录。
4、允许插入\删除\修改在c1列索引上与c1=4相邻的记录,虽然操作会影响gap锁的边界值。
##=========================================##
测试数据:
CREATE TABLE `tb4001` (
`id` bigint(20) NOT NULL AUTO_INCREMENT,
`c1` int(11) DEFAULT NULL,
`c2` varchar(200) DEFAULT NULL,
`c3` int(11) DEFAULT NULL,
PRIMARY KEY (`id`),
KEY `idx_c1` (`c1`)
) ENGINE=InnoDB AUTO_INCREMENT=1 DEFAULT CHARSET=utf8; insert into tb4001(c1,c2,c3) values(2,2,2);
insert into tb4001(c1,c2,c3) values(4,4,4);
insert into tb4001(c1,c2,c3) values(7,7,7);
insert into tb4001(c1,c2,c3) values(8,8,8); ##=========================================##
##测试1:在没有索引的列上更新
##事务隔离级别:RR
会话1:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=777 where c1=7; ##=========================================##
会话2:
begin;
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
insert into tb4001(c1,c2,c3) values(9,9,9); 会话2未被阻塞成功执行 ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
insert into tb4001(c1,c2,c3) values(7,7,7); ##执行结果:会话2被阻塞
使用SHOW ENGINE INNODB STATUS \G查看阻塞发生时的锁信息
---TRANSACTION 10600, ACTIVE 7 sec inserting
mysql tables in use 1, locked 1
LOCK WAIT 2 lock struct(s), heap size 1136, 1 row lock(s), undo log entries 1
MySQL thread id 53, OS thread handle 140674620851968, query id 1317 127.0.0.1 admin update
insert into tb4001(c1,c2,c3) values(7,7,7)
------- TRX HAS BEEN WAITING 7 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 75 page no 4 n bits 72 index idx_c1 of table `test1`.`tb4001` trx id 10600 lock_mode X locks gap before rec insert intention waiting
Record lock, heap no 5 PHYSICAL RECORD: n_fields 2; compact format; info bits 0
0: len 4; hex 80000008; asc ;;
1: len 8; hex 8000000000000004; asc ;; ------------------
---TRANSACTION 10598, ACTIVE 270 sec
4 lock struct(s), heap size 1136, 3 row lock(s), undo log entries 1
MySQL thread id 52, OS thread handle 140674621650688, query id 1306 127.0.0.1 admin ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
delete from tb4001 where c1=8;
会话2未被阻塞成功执行 ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=888 where c1=8;
会话2未被阻塞成功执行 ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
delete from tb4001 where c1=4;
会话2未被阻塞成功执行 ##=========================================##

==============================================================================

按照非唯一索引+条件更新

在可重复读事务隔离级别下,按照对非唯一索引列进行更新,会对扫描到的所有索引记录进行更新,无论该记录是否满足WHERE中的其他条件。
##=========================================##
测试数据:
CREATE TABLE `tb4001` (
`id` bigint(20) NOT NULL AUTO_INCREMENT,
`c1` int(11) DEFAULT NULL,
`c2` varchar(200) DEFAULT NULL,
`c3` int(11) DEFAULT NULL,
PRIMARY KEY (`id`),
KEY `idx_c1` (`c1`)
) ENGINE=InnoDB AUTO_INCREMENT=1 DEFAULT CHARSET=utf8; insert into tb4001(c1,c2,c3) values(2,2,2);
insert into tb4001(c1,c2,c3) values(4,4,4);
insert into tb4001(c1,c2,c3) values(4,4,44);
insert into tb4001(c1,c2,c3) values(7,7,7);
insert into tb4001(c1,c2,c3) values(8,8,8); ##=========================================##
##会话1:
##事务隔离级别:RR
会话1:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=444 where c1=4 and c3=4; ##=========================================##
##会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=444 where c1=4 and c3=44; 会话2未被阻塞成功执行
##执行结果:会话2被阻塞
mysql tables in use 1, locked 1
LOCK WAIT 2 lock struct(s), heap size 1136, 1 row lock(s)
MySQL thread id 76, OS thread handle 140674621384448, query id 1636 127.0.0.1 admin updating
update tb4001 set c2=444 where c1=4 and c3=44
------- TRX HAS BEEN WAITING 13 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 79 page no 4 n bits 72 index idx_c1 of table `test1`.`tb4001` trx id 10781 lock_mode X waiting
Record lock, heap no 3 PHYSICAL RECORD: n_fields 2; compact format; info bits 0
0: len 4; hex 80000004; asc ;;
1: len 8; hex 8000000000000002; asc ;; ------------------
---TRANSACTION 10780, ACTIVE 52 sec
4 lock struct(s), heap size 1136, 5 row lock(s), undo log entries 1
MySQL thread id 75, OS thread handle 140674621916928, query id 1618 127.0.0.1 admin ##=========================================##

==============================================================================

按照非唯一组合索引更新

假设表TB1上有列C1和C2,有索引IDC_C1_C2(C1,C2)
在可重复提交事务隔离级别下,会话1按照C1=3 AND C2=4进行更新,则:
1、会话2按照C1=3 AND C2=4进行更新,更新操作被阻塞
2、会话2按照C1=3 AND C2=M(M<>4)进行更新,更新操作不会被阻塞
3、会话2可以在C1=3 AND C2=4之后间隙插入记录,但不能在C1=3 AND C2=4之前的间隙插入记录
##=========================================##
##测试数据
CREATE TABLE `tb4001` (
`id` bigint(20) NOT NULL AUTO_INCREMENT,
`c1` int(11) DEFAULT NULL,
`c2` varchar(200) DEFAULT NULL,
`c3` int(11) DEFAULT NULL,
PRIMARY KEY (`id`),
KEY `idx_c1_c3` (`c1`,`c3`)
) ENGINE=InnoDB AUTO_INCREMENT=1 DEFAULT CHARSET=utf8; insert into tb4001(c1,c2,c3) values(2,2,2);
insert into tb4001(c1,c2,c3) values(4,4,4);
insert into tb4001(c1,c2,c3) values(4,4,44);
insert into tb4001(c1,c2,c3) values(7,7,7);
insert into tb4001(c1,c2,c3) values(8,8,8); ##=========================================##
##会话1:
##事务隔离级别:RR
会话1:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=444 where c1=4 and c3=4; ##=========================================##
##会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=444 where c1=4 and c3=44; 会话2未被阻塞成功执行 ##=========================================##
##会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=444 where c1=2 and c3=2; 会话2未被阻塞成功执行 ##=========================================##
##会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
insert into tb4001(c1,c2,c3) values(4,4,3); 会话2被阻塞
##=========================================##

==============================================================================

按照唯一索引进行更新

在可重复读的事务隔离级别下,在唯一索引列上进行更新和删除在唯一索引的索引行上加排他锁。
如果更新或删除条件为c1=7且c1列上存在唯一索引则:
1、阻止其他会话删除和修改c1=7的记录
2、阻止其他会话插入c1=7的记录
3、允许其他会话插入\删除\修改c1<>7的记录,但不允许将记录修改为c1=7的记录
以上限制通过在唯一索引的索引记录上加排他锁X来实现,不会生产GAP锁 在根据唯一索引进行更新时,读提交事务隔离级别(RC)和可重复读事务隔离级别(RR)都只需要依赖唯一索引便可以保证事务ACID特性,无须使用GAP锁。
##=========================================##
测试数据:
CREATE TABLE `tb4001` (
`id` bigint(20) NOT NULL AUTO_INCREMENT,
`c1` int(11) DEFAULT NULL,
`c2` varchar(200) DEFAULT NULL,
`c3` int(11) DEFAULT NULL,
PRIMARY KEY (`id`),
UNIQUE KEY `idx_c1` (`c1`)
) ENGINE=InnoDB AUTO_INCREMENT=1 DEFAULT CHARSET=utf8; insert into tb4001(c1,c2,c3) values(2,2,2);
insert into tb4001(c1,c2,c3) values(4,4,4);
insert into tb4001(c1,c2,c3) values(7,7,7);
insert into tb4001(c1,c2,c3) values(8,8,8); ##=========================================##
##测试1:在没有索引的列上更新
##事务隔离级别:RR
会话1:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=777 where c1=7; ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
insert into tb4001(c1,c2,c3) values(6,6,6); 会话2未被阻塞成功执行 ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
insert into tb4001(c1,c2,c3) values(7,7,7); ##执行结果:会话2被阻塞
使用SHOW ENGINE INNODB STATUS \G查看阻塞发生时的锁信息 ---TRANSACTION 10727, ACTIVE 9 sec inserting
mysql tables in use 1, locked 1
LOCK WAIT 2 lock struct(s), heap size 1136, 1 row lock(s), undo log entries 1
MySQL thread id 53, OS thread handle 140674620851968, query id 1553 127.0.0.1 admin update
insert into tb4001(c1,c2,c3) values(7,7,7)
------- TRX HAS BEEN WAITING 9 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 77 page no 4 n bits 72 index idx_c1 of table `test1`.`tb4001` trx id 10727 lock mode S waiting
Record lock, heap no 4 PHYSICAL RECORD: n_fields 2; compact format; info bits 0
0: len 4; hex 80000007; asc ;;
1: len 8; hex 8000000000000003; asc ;; ------------------
---TRANSACTION 10721, ACTIVE 32 sec
3 lock struct(s), heap size 1136, 2 row lock(s), undo log entries 1
MySQL thread id 52, OS thread handle 140674621650688, query id 1544 127.0.0.1 admin ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c2=888 where c1=8; 会话2未被阻塞成功执行 ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
update tb4001 set c1=7 where c1=8; 会话2未被阻塞成功执行
##执行结果:会话2被阻塞
使用SHOW ENGINE INNODB STATUS \G查看阻塞发生时的锁信息
---TRANSACTION 10730, ACTIVE 4 sec updating or deleting
mysql tables in use 1, locked 1
LOCK WAIT 4 lock struct(s), heap size 1136, 3 row lock(s), undo log entries 1
MySQL thread id 53, OS thread handle 140674620851968, query id 1567 127.0.0.1 admin updating
update tb4001 set c1=7 where c1=8
------- TRX HAS BEEN WAITING 4 SEC FOR THIS LOCK TO BE GRANTED:
RECORD LOCKS space id 77 page no 4 n bits 72 index idx_c1 of table `test1`.`tb4001` trx id 10730 lock mode S waiting
Record lock, heap no 4 PHYSICAL RECORD: n_fields 2; compact format; info bits 0
0: len 4; hex 80000007; asc ;;
1: len 8; hex 8000000000000003; asc ;; ------------------
---TRANSACTION 10721, ACTIVE 100 sec
3 lock struct(s), heap size 1136, 2 row lock(s), undo log entries 1
MySQL thread id 52, OS thread handle 140674621650688, query id 1544 127.0.0.1 admin ##=========================================##
会话2:
SET SESSION tx_isolation='REPEATABLE-READ';
START TRANSACTION;
SELECT @@GLOBAL.tx_isolation, @@SESSION.tx_isolation;
delete from tb4001 where c1=8; 会话2未被阻塞成功执行

==============================================================================

MySQL Transaction--RR事务隔离级别下加锁测试的更多相关文章

  1. MySQL Transaction--RC事务隔离级别下加锁测试

    ==============================================================================非索引列更新 在读提交的事务隔离级别下,在非 ...

  2. mysql中不同事务隔离级别下数据的显示效果--转载

    事务是一组原子性的SQL查询语句,也可以被看做一个工作单元.如果数据库引擎能够成功地对数据库应用所有的查询语句,它就会执行所有查询,如果任何一条查询语句因为崩溃或其他原因而无法执行,那么所有的语句就都 ...

  3. 浅谈mysql中不同事务隔离级别下数据的显示效果

    事务的概念 事 务是一组原子性的SQL查询语句,也可以被看做一个工作单元.如果数据库引擎能够成功地对数据库应用所有的查询语句,它就会执行所有查询,如果任何一条查 询语句因为崩溃或其他原因而无法执行,那 ...

  4. MySQL四种事务隔离级别详解

    本文实验的测试环境:Windows 10+cmd+MySQL5.6.36+InnoDB 一.事务的基本要素(ACID) 1.原子性(Atomicity):事务开始后所有操作,要么全部做完,要么全部不做 ...

  5. 事务,Oracle,MySQL及Spring事务隔离级别

    一.什么是事务: 事务逻辑上的一组操作,组成这组操作的各个逻辑单元,要么一起成功,要么一起失败. 二.事务特性(4种): 原子性 (atomicity):强调事务的不可分割:一致性 (consiste ...

  6. 谈谈MySQL支持的事务隔离级别,以及悲观锁和乐观锁的原理和应用场景?

    在日常开发中,尤其是业务开发,少不了利用 Java 对数据库进行基本的增删改查等数据操作,这也是 Java 工程师的必备技能之一.做好数据操作,不仅仅需要对 Java 语言相关框架的掌握,更需要对各种 ...

  7. 在MySQL中设置事务隔离级别有2种方法:

    在MySQL中设置事务隔离级别有2种方法: 1 在my.cnf中设置,在mysqld选项中如下设置 [mysqld] transaction-isolation = READ-COMMITTED 2 ...

  8. mysql中的事务隔离级别

    事务是逻辑上的一组操作,要么都执行,要么都不执行. 事务最经典的.经常被拿出来说的例子就是转账了.假如小花要给小白转账1000元,这个转账会涉及到两个关键操作就是:将小花的余额-1000,将小白的余额 ...

  9. MySql锁和事务隔离级别

    在讲mysql事物隔离级别之前,我们先简单说说mysql的锁和事务. 一:数据库锁 因为数据库要解决并发控制问题.在同一时刻,可能会有多个客户端对同一张表进行操作,比如有的在读取该行数据,其他的尝试去 ...

随机推荐

  1. LeetCode--104--二叉树的最大深度

    问题描述: 给定一个二叉树,找出其最大深度. 二叉树的深度为根节点到最远叶子节点的最长路径上的节点数. 说明: 叶子节点是指没有子节点的节点. 示例: 给定二叉树 [3,9,20,null,null, ...

  2. 快速读入fread

    struct FastIO { static const int S = 1e7; int wpos; char wbuf[S]; FastIO() : wpos(0) {} inline int x ...

  3. ubuntu计划任务

    1.第一次编写计划任务,你输入crontab -l 会报错:no crontab for root 这个解决方法:输入crontab -e 2,第一次编写计划任务的时候你要输入select -edit ...

  4. ccf第二题总结

    1.游戏 问题描述 小明和小芳出去乡村玩,小明负责开车,小芳来导航. 小芳将可能的道路分为大道和小道.大道比较好走,每走1公里小明会增加1的疲劳度.小道不好走,如果连续走小道,小明的疲劳值会快速增加, ...

  5. 模拟模拟vij1120

    花生采摘 描述 鲁宾逊先生有一只宠物猴,名叫多多.这天,他们两个正沿着乡间小路散步,突然发现路的告示牌上贴着一张小小的纸条:“欢迎免费品尝我种的花生!——熊字”. 鲁宾逊先生和多多都很开心,因为花生正 ...

  6. OAF 标准的供应商管理员批准流程

    标准供应商审批流程 oracle.apps.pos.onboard.webui.FlexRegApproverPGCO--初始化poplist LinkedList actionListText = ...

  7. 配置postgres9.3间的fdw——实现不同postgres数据库间的互访问

    下面是安装.配置.使用fdw实现postgres数据库间互访问的方法,转载注明出处: 1.源码安装fdw支持(要求数据库源码安装) cd /usr/local/postgresql-9.3.2/con ...

  8. 获取Oracle数据库awr报告方法

    --登录数据库  sqlplus username/passwd; --运行生成AWR报告脚本  SQL> @?/rdbms/admin/awrrpt.sql; --输入要生成报告的格式:htm ...

  9. spring boot 学习(七)小工具篇:表单重复提交

    注解 + 拦截器:解决表单重复提交 前言 学习 Spring Boot 中,我想将我在项目中添加几个我在 SpringMVC 框架中常用的工具类(主要都是涉及到 Spring AOP 部分知识).比如 ...

  10. sgu 122. The book 满足ore性质的汉密尔顿回路 难度:2

    122. The book time limit per test: 0.25 sec. memory limit per test: 4096 KB There is a group of N (2 ...