MySQL没有备份怎么恢复被drop的表(利用undrop-for-innodb)
介绍:
也许大家都难以理解,这么重要的数据为啥不备份(或者备份不可用)?而且还任性的drop table了。显然有备份是最好的,但是它们并不总是可用的。这种情况令人恐惧,但并非毫无希望。在许多情况下,可以恢复数据库或表中的几乎所有数据。恢复计划取决于InnoDB是否将所有数据保存在一个ibdata1中,还是每个表都有自己的表空间。本文将考虑innodb_file_per_table=OFF的情况。
drop 表恢复其他方法:
本文重要部分:
环境:
- 时间:#Sat Aug 4 19:37:24 CST 2018
- CentOS Linux release 7.2.1511 (Core)
- MySQL:5.7.23-log
- 使用工具:undrop-for-innodb
1.工具安装
- 依赖包安装
yum install -y make gcc flex bison
- 下载工具包(github)
#cd /opt/
[root@db13_19:55:25 /opt]
#git clone https://github.com/twindb/undrop-for-innodb.git
Cloning into 'undrop-for-innodb'...
Resolving deltas: 100% (77/77), done.
- make
#cd /opt/undrop-for-innodb
#make
....
....
[root@db13_20:39:43 /opt/undrop-for-innodb]
#ll
total 2920
-rw-r--r-- 1 root root 6271 Aug 4 19:55 check_data.c
-rw-r--r-- 1 root root 66128 Aug 4 20:39 check_data.o
-rwxr-xr-x 1 root root 727801 Aug 4 20:39 c_parser
-rw-r--r-- 1 root root 28587 Aug 4 19:55 c_parser.c
-rw-r--r-- 1 root root 1030296 Aug 4 20:39 c_parser.o
drwxr-xr-x 2 root root 92 Aug 4 19:55 dictionary
-rw-r--r-- 1 root root 1978 Aug 4 19:55 fetch_data.sh
drwxr-xr-x 2 root root 4096 Aug 4 19:55 include
-rw-r--r-- 1 root root 8936 Aug 4 19:55 innochecksum.c
-rwxr-xr-x 1 root root 36343 Aug 4 20:39 innochecksum_changer
-rw-r--r-- 1 root root 154459 Aug 4 20:39 lex.yy.c
-rw-r--r-- 1 root root 18047 Aug 4 19:55 LICENSE
-rw-r--r-- 1 root root 1942 Aug 4 19:55 Makefile
-rw-r--r-- 1 root root 16585 Aug 4 19:55 print_data.c
-rw-r--r-- 1 root root 127176 Aug 4 20:39 print_data.o
-rw-r--r-- 1 root root 3464 Aug 4 19:55 README.md
-rwxr-xr-x 1 root root 1536 Aug 4 19:55 recover_dictionary.sh
drwxr-xr-x 2 root root 4096 Aug 4 19:55 sakila
-rw-r--r-- 1 root root 103506 Aug 4 20:39 sql_parser.c
-rw-r--r-- 1 root root 8462 Aug 4 19:55 sql_parser.l
-rw-r--r-- 1 root root 296840 Aug 4 20:39 sql_parser.o
-rw-r--r-- 1 root root 26355 Aug 4 19:55 sql_parser.y
-rwxr-xr-x 1 root root 61725 Aug 4 20:39 stream_parser
-rw-r--r-- 1 root root 23103 Aug 4 19:55 stream_parser.c
-rw-r--r-- 1 root root 109304 Aug 4 20:39 stream_parser.o
-rw-r--r-- 1 root root 14764 Aug 4 19:55 sys_parser.c
-rw-r--r-- 1 root root 2182 Aug 4 19:55 tables_dict.c
-rw-r--r-- 1 root root 40264 Aug 4 20:39 tables_dict.o
-rwxr-xr-x 1 root root 6629 Aug 4 19:55 test.sh
drwxr-xr-x 3 root root 42 Aug 4 19:55 vagrant
[root@db13_20:39:57 /opt/undrop-for-innodb]
- 增加用于恢复表结构的工具sys_parser(官方文档未使用):
#gcc `/usr/local/mysql57/bin/mysql_config --cflags` `/usr/local/mysql57/bin/mysql_config --libs` -o sys_parser sys_parser.c
注:mysql_basedir: /usr/local/mysql57/bin/
2.表数据生成和drop表
- 初始化一个新实例:
[root@db212_20:58:44 /data/57mysql]
#mkdir mysql3507/{data,logs,tmp} -p
#chown -R mysql:mysql mysql3507
[root@db212_21:07:34 /3507]
\\复制my3507.cnf到mysql3507下
#ln -s /data/57mysql/mysql3507/ /3507
#/usr/local/mysql57/bin/mysqld --defaults-file=/3507/my3507.cnf --initialize-insecure
#/usr/local/mysql57/bin/mysqld --defaults-file=/3507/my3507.cnf&
[1] 11669
//取初始密码并登录:
/usr/local/mysql57/bin/mysql -S /tmp/mysql3507.sock -uroot
(unknown)@localhost [(none)]>alter user user() identified by '*****';
root@localhost [(none)]>CREATE DATABASE wenyz;
root@localhost [(none)]>use wenyz;
Database changed
//创建表
root@localhost [wenyz]>CREATE TABLE `t2` (
-> `id` int(10) unsigned NOT NULL AUTO_INCREMENT,
-> `ti` varchar(100) NOT NULL,
-> `date` date DEFAULT NULL,
-> PRIMARY KEY (`id`)
-> ) ENGINE=InnoDB AUTO_INCREMENT=4079859 DEFAULT CHARSET=utf8;
Query OK, 0 rows affected (0.01 sec)
//造数据
root@localhost [wenyz]>insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
Records: 448 Duplicates: 0 Warnings: 0
//查看数据行数和checksum值
root@localhost [wenyz]>select count(*) from t2;
+----------+
| count(*) |
+----------+
| 896 |
+----------+
root@localhost [wenyz]>checksum table t2;
+----------+------------+
| Table | Checksum |
+----------+------------+
| wenyz.t2 | 3458542072 |
+----------+------------+
//DROP 表
root@localhost [wenyz]>drop table t2;
Query OK, 0 rows affected (0.01 sec)
3.利用stream_parser将ibdata1文件导出成page文件
#cd /opt/undrop-for-innodb/
[root@db212_21:25:52 /opt/undrop-for-innodb]
#./stream_parser -f /3507/data/ibdata1
Opening file: /3507/data/ibdata1
File information:
....
Size to process: 104857600 (100.000 MiB)
Size to process: 104857600 (100.000 MiB)
time of last access: 1533388916 Sat Aug 4 21:21:56 2018
time of last modification: 1533388917 Sat Aug 4 21:21:57 2018
time of last status change: 1533388917 Sat Aug 4 21:21:57 2018
total size, in bytes: 104857600 (100.000 MiB)
Size to process: 104857600 (100.000 MiB)
All workers finished in 0 sec
4.恢复表结构 [ Top ]
这里引入官方的一段描述:
InnoDB stores all data in B+tree indexes. A table has one clustered index PRIMARY, all fields are stored there. Thus, if the table has secondary keys, each key has an index. Each index is identified by index_id.
Consequently, if we want to recover a table, we have to find all pages that belong to a particular index_id.
接下来我们先来看看怎么找到table id和INDEX_ID(page文件编号)的,理解原理后再用程序跑一次,导入到临时数据库中
- 手工查找table id
观察以下结果中,wenyz/t2后的40,即为table id
[root@db212_21:25:55 /opt/undrop-for-innodb]
#./c_parser -4Df pages-ibdata1/FIL_PAGE_INDEX/0000000000000001.page -t dictionary/SYS_TABLES.sql | grep 'wenyz/t2'
000000000521 3B00000149047E SYS_TABLES "wenyz/t2" 40 3 33 0 64 "" 0
SET FOREIGN_KEY_CHECKS=0;
LOAD DATA LOCAL INFILE '000000000521 3B00000149047E SYS_TABLES "wenyz/t2" 40 3 33 0 64 "" 0
- 通过table id查看page文件编号
观察以下结果中40后的41,即为INDEX_ID(page文件编号)
[root@db212_21:29:54 /opt/undrop-for-innodb]
#./c_parser -4Df pages-ibdata1/FIL_PAGE_INDEX/0000000000000003.page -t dictionary/SYS_INDEXES.sql | grep '40'
000000000521 3B0000014903A2 SYS_INDEXES 40 41 "PRIMARY" 1 3 0 4294967295
SET FOREIGN_KEY_CHECKS=0;
000000000521 3B0000014903A2 SYS_INDEXES 40 41 "PRIMARY" 1 3 0 4294967295
- 用程序恢复字典信息:编辑mysql登录信息.
[root@db212_21:57:04 /opt/undrop-for-innodb]
//将文件中三处mysql替换成/usr/local/mysql57/bin/mysql --login-path=p3507
#vi recover_dictionary.sh
43 /usr/local/mysql57/bin/mysql --login-path=p3507 -e "CREATE DATABASE IF NOT EXISTS test"
...
50 /usr/local/mysql57/bin/mysql --login-path=p3507 test < dictionary/$t.sql
...
58 /usr/local/mysql57/bin/mysql --login-path=p3507 test < dumps/default/$t.sql
- 执行/recover_dictionary.sh,恢复字典信息
[root@db212_22:13:57 /opt/undrop-for-innodb]
#./recover_dictionary.sh
Generating dictionary tables dumps... OK
Creating test database ... OK
Creating dictionary tables in database test:
SYS_TABLES ... OK
SYS_COLUMNS ... OK
SYS_INDEXES ... OK
SYS_FIELDS ... OK
All OK
Loading dictionary tables data:
SYS_TABLES ... 52 recs OK
SYS_COLUMNS ... 284 recs OK
SYS_INDEXES ... 68 recs OK
SYS_FIELDS ... 90 recs OK
All OK
[root@db212_22:14:02 /opt/undrop-for-innodb]
- 登录mysql查看信息字典信息:
mysql --login-path=p3507
root@localhost [(none)]>use test;
Database changed
root@localhost [test]>select * from SYS_TABLES where name like 'wenyz/t2%';
+----------+----+--------+------+--------+---------+--------------+-------+
| NAME | ID | N_COLS | TYPE | MIX_ID | MIX_LEN | CLUSTER_NAME | SPACE |
+----------+----+--------+------+--------+---------+--------------+-------+
| wenyz/t2 | 40 | 3 | 33 | 0 | 64 | | 0 |
+----------+----+--------+------+--------+---------+--------------+-------+
1 row in set (0.00 sec)
root@localhost [test]>select * from SYS_INDEXES where table_id=40;
+----------+----+---------+----------+------+-------+------------+
| TABLE_ID | ID | NAME | N_FIELDS | TYPE | SPACE | PAGE_NO |
+----------+----+---------+----------+------+-------+------------+
| 40 | 41 | PRIMARY | 1 | 3 | 0 | 4294967295 |
+----------+----+---------+----------+------+-------+------------+
//注意记录上表中id,此ID为INDEX_ID(page文件编号)等会表数据恢复要使用
1 row in set (0.00 sec)
root@localhost [test]>
- 表恢复t2表结构 [ Top ]
./sys_parser -h 127.0.0.1 -u root -p xxxx -d test wenyz/t2
./sys_parser: error while loading shared libraries: libmysqlclient.so.20: cannot open shared object file: No such file or directory
#ln -s /opt/mysql-5.7.23-linux-glibc2.12-x86_64/lib/libmysqlclient.so.20 /usr/lib64/libmysqlclient.so.20
[root@db212_22:23:25 /opt/undrop-for-innodb]
#./sys_parser -h 127.0.0.1 -u root -p zstzst -d test wenyz/t2
CREATE TABLE `t2`(
`id` INT UNSIGNED NOT NULL,
`ti` VARCHAR(100) CHARACTER SET 'utf8' COLLATE 'utf8_general_ci' NOT NULL,
`date` DATE,
PRIMARY KEY (`id`)
) ENGINE=InnoDB;
[root@db212_22:23:30 /opt/undrop-for-innodb]
- 将恢复的表结构存到/tmp/t2.sql
#cat /tmp/t2.sql
CREATE TABLE `t2`(
`id` INT UNSIGNED NOT NULL,
`ti` VARCHAR(100) CHARACTER SET 'utf8' COLLATE 'utf8_general_ci' NOT NULL,
`date` DATE,
PRIMARY KEY (`id`)
) ENGINE=InnoDB;
[root@db212_22:26:20 /opt/undrop-for-innodb]
5.表数据恢复 [ Top ]
- 查看数据是否存在
以下命令中使用的0000000000000041.page为上面提到的INDEX_ID(page文件编号),/tmp/t2.sql为上面恢复的表结构.
[root@db212_22:33:44 /opt/undrop-for-innodb]
#./c_parser -6f pages-ibdata1/FIL_PAGE_INDEX/0000000000000041.page -t /tmp/t2.sql |head -2
-- Page id: 459, Format: COMPACT, Records list: Valid, Expected records: (180 180)
000000000507 A7000001210110 t2 4079859 "d553635af1a3b" "2018-08-04"
000000000508 A8000001230110 t2 4079860 "44d64b99fc30d1b" "2018-08-04"
[root@db212_22:33:44 /opt/undrop-for-innodb]
- 利用c_parser将0000000000000041.page导出成可执行sql
//注意:此处几个文件名程序把导出的两个数据文件的文件名关系是写死的,以下dumps/default/t2中的t2是需要和表名一致,在t2_load.sql中会引用此文件路经.
./c_parser -6f pages-ibdata1/FIL_PAGE_INDEX/0000000000000041.page -t /tmp/t2.sql > dumps/default/t2 2> dumps/default/t2_load.sql
#cd dumps/default/
[root@db212_22:41:01 /opt/undrop-for-innodb/dumps/default]
#ll
total 132
-rw-r--r-- 1 root root 21232 Aug 4 22:14 SYS_COLUMNS
...
-rw-r--r-- 1 root root 62923 Aug 4 22:40 t2
-rw-r--r-- 1 root root 308 Aug 4 22:40 t2_load.sql
[root@db212_22:41:04 /opt/undrop-for-innodb/dumps/default]
#cat t2_load.sql
SET FOREIGN_KEY_CHECKS=0;
LOAD DATA LOCAL INFILE '/opt/undrop-for-innodb/dumps/default/t2' REPLACE INTO TABLE `t2` FIELDS TERMINATED BY '\t' OPTIONALLY ENCLOSED BY '"' LINES STARTING BY 't2\t' (`id`, `ti`, `date`);
-- STATUS {"records_expected": 896, "records_dumped": 896, "records_lost": false} STATUS END
- 将表结构t2.sql和表数据t2和t2_load.sql导入数据库
root@localhost [test]>source /tmp/t2.sql
Query OK, 0 rows affected (0.02 sec)
root@localhost [test]>source /opt/undrop-for-innodb/dumps/default/t2_load.sql
Query OK, 0 rows affected (0.00 sec)
Query OK, 896 rows affected (0.01 sec)
Records: 896 Deleted: 0 Skipped: 0 Warnings: 0
root@localhost [test]>select count(*) from t2;
+----------+
| count(*) |
+----------+
| 896 |
+----------+
1 row in set (0.00 sec)
root@localhost [test]>checksum table t2;
+---------+------------+
| Table | Checksum |
+---------+------------+
| test.t2 | 3458542072 |
+---------+------------+
1 row in set (0.00 sec)
root@localhost [test]>
//drop前数据信息对比:
root@localhost [wenyz]>select count(*) from t2;
+----------+
| count(*) |
+----------+
| 896 |
+----------+
1 row in set (0.00 sec)
root@localhost [wenyz]>checksum table t2;
+----------+------------+
| Table | Checksum |
+----------+------------+
| wenyz.t2 | 3458542072 |
+----------+------------+
1 row in set (0.00 sec)
- 至此数据已经完全恢复.
6.未解决的问题 [ Top ]
问题1.
innodb(非独立表空间)情况,drop表后,用工具读ibdata1对应数据页文件,如果是这个表大于350行左右的数据,页文件是存在的,但小于350行左右,页文件就不存在(drop前页文件是存在的).这是个什么原因呢
脚本输出信息:
以下为精简信息,完整输出信息请点击下载文本(由于不能上传txt,所以在文件名后面加了sh,下载后请删除.sh):
320行,没有drop记录:
320行,drop
640行,drop
select count(*) from t2
640
Table Checksum
wenyz.t2 1273189789
...
-rw-r--r-- 1 root root 16384 Aug 4 23:09 0000000000000040.page
-rw-r--r-- 1 root root 98304 Aug 4 23:09 0000000000000041.page /被drop表空间文件
-rw-r--r-- 1 root root 16384 Aug 4 23:09 18446744069414584320.page
count(*)320(行)
Table Checksum
wenyz.t2 3018070873
....
-rw-r--r-- 1 root root 16384 Aug 4 23:12 0000000000000038.page
-rw-r--r-- 1 root root 32768 Aug 4 23:12 0000000000000039.page
-rw-r--r-- 1 root root 16384 Aug 4 23:12 0000000000000040.page \\这里缺41.page
-rw-r--r-- 1 root root 16384 Aug 4 23:12 18446744069414584320.page
把drop命令在脚本里注释后(还是320行)
以下为精简信息,完整输出信息附后:
#/tmp/init3507.sh
BrI?Zu>o=1uN
mysql: [Warning] Using a password on the command line interface can be insecure.
root@localhost [(none)]>alter user user() identified by 'xxxxx';
Query OK, 0 rows affected (0.00 sec)
root@localhost [(none)]>exit
Bye
mysql: [Warning] Using a password on the command line interface can be insecure.
count(*) ---------------------------------------------------------------------------------320行数据
320
Table Checksum
wenyz.t2 2368041617
...
-rw-r--r-- 1 root root 32768 Aug 4 23:16 0000000000000039.page
-rw-r--r-- 1 root root 16384 Aug 4 23:16 0000000000000040.page
-rw-r--r-- 1 root root 32768 Aug 4 23:16 0000000000000041.page //320行时不drop是有此表空间文件的
-rw-r--r-- 1 root root 16384 Aug 4 23:16 18446744069414584320.page
[root@db211_23:16:21 /opt/undrop-for-innodb]
#
- 为了快速测试数据恢复,使用的脚本
init3507.sh
/tmp/init3507.sh
pkill mysqld
rm -rf /3507/data/* /3507/logs/*
/usr/local/mysql57/bin/mysqld --defaults-file=/3507/my3507.cnf --initialize-insecure
/usr/local/mysql57/bin/mysqld --defaults-file=/3507/my3507.cnf&
sleep 2
/usr/local/mysql57/bin/mysql -S /tmp/mysql3507.sock -uroot </tmp/create_t2.sql
rm -rf /opt/undrop-for-innodb/pages-ibdata1
#ls -l
cd /opt/undrop-for-innodb/
sleep 5
rm -rf /opt/undrop-for-innodb/pages-ibdata1
cd /opt/undrop-for-innodb/
/opt/undrop-for-innodb/stream_parser -f /3507/data/ibdata1
ls -l /opt/undrop-for-innodb/pages-ibdata1/FIL_PAGE_INDEX
/tmp/create_t2.sql (由于不能上传sql文件,所以只能改为sh)
alter user user() identified by 'xxxx';
CREATE DATABASE wenyz;
use wenyz;
CREATE TABLE `t2` (
`id` int(10) unsigned NOT NULL AUTO_INCREMENT,
`ti` varchar(100) NOT NULL,
`date` date DEFAULT NULL,
PRIMARY KEY (`id`)
) ENGINE=InnoDB AUTO_INCREMENT=4079859 DEFAULT CHARSET=utf8;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) values(substring(MD5(RAND()),floor(RAND()*26)+1,15),now()) ;
insert into t2(ti,date) select ti,date from t2;
insert into t2(ti,date) select ti,date from t2;
insert into t2(ti,date) select ti,date from t2;
insert into t2(ti,date) select ti,date from t2;
insert into t2(ti,date) select ti,date from t2;
select count(*) from t2;
checksum table t2;
drop table t2;
7.参考过的资料 [ Top ]
转自
没有备份怎么恢复被drop的表(利用undrop-for-innodb) - 2森林 - 博客园 https://www.cnblogs.com/2woods/p/9420414.html
MySQL没有备份怎么恢复被drop的表(利用undrop-for-innodb)的更多相关文章
- 没有备份怎么恢复被drop的表(利用undrop-for-innodb)
介绍: 也许大家都难以理解,这么重要的数据为啥不备份(或者备份不可用)?而且还任性的drop table了.显然有备份是最好的,但是它们并不总是可用的.这种情况令人恐惧,但并非毫无希望.在许多 ...
- mysql 数据库备份,恢复。。。。
mysql 数据备份,恢复,恢复没写,这里只写了备份... 先暂作记录吧! 备份:表结构和数据完全分开,默认有一个文件会记录所有表的结构,然后表中数据的备份 如果超过分卷的大小则会分成多个文件,不然则 ...
- MySQL的备份和恢复
MySQL的备份和恢复 备份数据:mysqldump –uroot –p123456 dbname table [option] > dbname.sql mysqldump常用参数option ...
- MySQL的备份和恢复-mysqldump
MySQL的备份和恢复-mysqldump 作者:尹正杰 版权声明:原创作品,谢绝转载!否则将追究法律责任. 一.为什么需要备份 1>.做灾难恢复 天有不测风云嘛,如果你的服务器被黑客攻击了(比 ...
- mysql 完整备份和恢复
mysql 完整备份和恢复 一.MySQL完整备份操作 1.直接打包数据库文件夹 创建数据库auth: MariaDB [(none)]> create database auth;Quer ...
- MySQL的备份和恢复-基于LVM快照的备份(lvm-snapshot)
MySQL的备份和恢复-基于LVM快照的备份(lvm-snapshot) 作者:尹正杰 版权声明:原创作品,谢绝转载!否则将追究法律责任. 一.什么是快照卷 如上图所示,原卷和快照卷可以不一样大,因为 ...
- mysql 数据库备份和恢复
物理备份对比逻辑备份 物理备份是指直接复制包含数据的文件夹和文件.这种类型的备份适用于大数据量且非常重要,遇到问题需要快速回复的数据库. 逻辑备份保存能够代表数据库信息的逻辑结构(CREATE DAT ...
- 第九章· MySQL的备份和恢复
一.备份的原因 运维工作的核心简单概括就两件事: 1)第一个是保护公司的数据. 2)第二个是让网站能7*24小时提供服务(用户体验).  备份的原因 1)备份就是为了恢复. 2)尽量减少数据的丢失( ...
- JSP 实现 之 调用java方法实现MySQL数据库备份和恢复
package cn.qm.db; import java.io.BufferedReader; import java.io.DataInputStream; import java.io.IOEx ...
随机推荐
- plus初始化原理及plus is not defined,mui is not defined 错误汇总
原文 关于plus是哪里来的问题 plus是5+Runtime的内部对象.就像chrome浏览器里有chrome.开头的一些对象方法,5+runtime内部内置了plus对象.因为plus和mui不一 ...
- 队列 Queue 与 生产者消费模型
队列:先进先出 # from multiprocessing import Queue # Q = Queue(4) # Q.put('a') # Q.put('b') # Q.put('b') # ...
- select监听udp消息
服务端 #!/usr/bin/python2.6 # -*- coding:utf-8 -*- import json import socket import select def socketse ...
- 子线程导致 Windows 服务停止的情况(Topshelf 结合 Quartz.NET)
Ø 前言 本文主要记录子线程导致 Topshelf 和 Quartz.NET 的 Windows 服务停止的现象,以及使用几种常用子线程的注意事项.因为我们有时可能需要开启多个线程执行复杂的逻辑,如 ...
- idea JRebe插件激活方法
具体方法请看创始人博客及github
- 小试XML实体注入攻击
基础知识 XML(Extensible Markup Language)被设计用来传输和存储数据.关于它的语法,本文不准备写太多,只简单介绍一下. XML基本知识 1 2 3 4 5 <?xml ...
- PHP实现流程管理功能
核心逻辑:流程管理,在各种系统中扮演很重要的地位,可以把设定好的流程放入系统中,规定好几个节点,只要所有节点都通过,就可以通过. 建立四张数据库表: 1.我们首先做一个新建流程页面 flow.php, ...
- vue安装教程总结
转载:https://blog.csdn.net/sunny1660/article/details/78326548 简介: vue.js是一套构建用户界面的渐进式框架.比较简洁,用于解 ...
- cocos 自动内存管理分析
#include "CCAutoreleasePool.h" #include "ccMacros.h" NS_CC_BEGIN static CCPoolMa ...
- Codeforces 1065F(树形dp)
题目链接 题意 给一棵树,进行如下操作,如果当前点非叶子,则往子树移动,否则最多向上移动k次,问从根节点开始最多访问多少叶子 思路 预处理出每个点最多能“白嫖”到几个叶子,根据下一个点的状态更新最优方 ...